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PER CURIAM.

Dennis Sochor, an inmate under sentence of death, appeals an order of the circuit court denying his motion for post-conviction relief under Florida Rule of Criminal Procedure 3.850. He also petitions this Court for a writ of habeas corpus. For the reasons expressed below, we affirm the order of the circuit court and deny the habeas petition.

I. BACKGROUND

Sochor was convicted of kidnapping and first-degree murder. In accordance with the jury’s ten-to-two recommendation, the judge sentenced Sochor to death, finding four aggravating circumstances and no mitigating circumstances. Sochor v. State, 580 So.2d 595, 599 (Fla.1991). On direct appeal, we found that the evidence was not sufficient to meet the heightened level of premeditation necessary for the “cold, calculated, and premeditated” aggravating circumstance. Id. at 603. Nevertheless, we affirmed the convictions and the death sentence, holding that in light of the other aggravating circumstances which the trial court found and the absence of mitigating circumstances, the death sentence was proportionate and no resentencing was required. Id. at 604.

The United States Supreme Court granted certiorari, vacated the sentence, and remanded the case, holding that we failed to perform a harmless error analysis. Sochor v. Florida, 504 U.S. 527, 540, 112 S.Ct. 2114, 119 L.Ed.2d 326 (1992). On remand, we held that the trial judge’s weighing of the invalid aggravating factor was “harmless error,” and we therefore affirmed Sochor’s death sentence. Sochor v. State, 619 So.2d 285, 293 (Fla.1993).

Sochor then filed a rule 3.850 motion for postconviction relief in which he raised thirty claims. Following a Huff hearing, the circuit court granted a limited eviden-tiary hearing. After the evidentiary hearing, the circuit court denied the motion for postconvietion relief. Sochor now appeals the circuit court’s denial. He also petitions for a writ of habeas corpus. As stated above, we affirm the circuit court’s denial of relief and deny the habeas petition.

II. RULE 3.850

A. Penalty Phase Ineffectiveness of Counsel

Sochor argues that he was deprived of his Sixth Amendment right to effective assistance of counsel because his lawyer failed to investigate, prepare, and present evidence that would support the existence of two statutory mitigating circumstances and several nonstatutory mitigating circumstances. He claims that counsel did not thoroughly investigate his background and did not provide any information about his background to the mental health experts who evaluated him, rendering their evaluations inadequate for the purpose of developing evidence of mitigating circumstances. He also claims that counsel did not adequately prepare his penalty phase lay witnesses before they testified. So-chor argues that this deficiency in his counsel’s performance prevented the jury and the judge from understanding the true nature and extent of his troubled background and mental health status. As a result, he argues, the outcome of the penalty phase was unreliable. He argues that there is a reasonable probability that he would not have been sentenced to death had counsel not been deficient.

To be entitled to relief on this claim, Sochor must show that his attorney’s performance was deficient and that the deficient performance prejudiced his defense. Strickland v. Washington, 466 U.S. 668, 687, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984); see also Wiggins v. Smith, 539 U.S. 510, 123 S.Ct. 2527, 2535, 156 L.Ed.2d 471 (2003); Williams v. Taylor, 529 U.S. 362, 390, 120 S.Ct. 1495, 146 L.Ed.2d 389 (2000). To satisfy the deficiency prong, Sochor must show “that counsel made errors so serious that counsel was not functioning as the ‘counsel’ guaranteed the defendant by the Sixth Amendment.” Strickland, 466 U.S. at 687, 104 S.Ct. 2052. Sochor must demonstrate that counsel’s representation “fell below an objective standard of reasonableness.” Id. at 688, 104 S.Ct. 2052. If Sochor can establish that counsel’s performance was deficient, he must then “show[ ] that counsel’s errors were so serious as to deprive [him] of a fair trial, a trial whose result is reliable.” Id. at 687, 104 S.Ct. 2052. In other words, in order to establish the prejudice prong, Sochor “must show that there is a reasonable probability that, but for counsel’s unprofessional errors, the result of the proceeding would have been different.” Id. at 694, 104 S.Ct. 2052. As the Court explained in Strickland, “[a] reasonable probability is a probability sufficient to undermine confidence in the outcome.” Id. In the penalty phase context, “the question is whether there is a reasonable probability that, absent the errors, the sentencer ... would have concluded that the balance of aggravating and mitigating circumstances did not warrant death.” Id. at 695, 104 S.Ct. 2052.

When we review a circuit court’s resolution of a Strickland claim, as we do here, we apply a mixed standard of review because both the performance and the prejudice prongs of the Strickland test present mixed questions of law and fact. See id. at 698, 104 S.Ct. 2052 (“Ineffectiveness is ... a mixed question of law and fact.”); Stephens v. State, 748 So.2d 1028, 1033 (Fla.1999). We defer to the circuit court’s factual findings, but we review de novo the circuit court’s legal conclusions. Stephens, 748 So.2d at 1033 (“Thus, under Strickland, both the performance and prejudice prongs are mixed questions of law and fact, with deference to be given only to the lower court’s factual findings.”); see also Hodges v. State, 28 Fla. L. Weekly S475, S476, 2003 WL 21402484 (Fla. June 19, 2003) (“Ineffective assistance of counsel claims are mixed questions of law and fact, and are thus subject to plenary review based on the Strickland test. Under this standard, the Court conducts an independent review of the trial court’s legal conclusions, while giving deference to the trial court’s factual findings.”) (citation omitted). With these principles in mind, we now analyze Sochor’s ineffective assistance of counsel claim.

1. The Deficiency Prong

We agree with Sochor that his counsel’s penalty-phase performance was deficient. Our review of the penalty-phase transcript and the evidentiary-hearing testimony reveals that Sochor’s counsel put little time or effort into preparing expressly for the penalty phase.

The only witnesses counsel presented at the penalty phase were four members of Sochor’s family. One of these witnesses, a sister, was not even contacted by counsel. She learned about the penalty phase from another relative and traveled to Florida on her own. When she arrived, she told counsel that she wanted to testify; counsel quickly glanced at a statement she had prepared and told her she could read it to the jury. The other three witnesses received no more preparation from counsel. Counsel simply asked them to prepare statements to read to the jury. In addition to these lay witnesses, counsel introduced the reports of three mental health experts who testified during the guilt phase. However, counsel did not provide these experts with any information about Sochor’s background, nor did he specifically instruct them to examine and evaluate Sochor for the purpose of establishing mitigating evidence.

Based on these undisputed facts, counsel’s performance was clearly deficient, and the circuit court’s holding to the contrary was erroneous. See State v. Lewis, 838 So.2d 1102, 1113 (Fla.2002) (“[T]he obligation to investigate and prepare for the penalty portion of a capital case cannot be overstated — this is an integral part of a capital case.”); Rose v. State, 675 So.2d 567, 571 (Fla.1996) (“An attorney has a duty to conduct a reasonable investigation, including an investigation of the defendant’s background, for possible mitigating evidence.”) (quoting Porter v. Singletary, 14 F.3d 554, 557 (11th Cir.1994)).

2. The Prejudice Prong

We now must determine whether Sochor established that he was prejudiced by counsel’s deficient performance. See Wiggins, 123 S.Ct. at 2542 (“In order for counsel’s inadequate performance to constitute a Sixth Amendment violation, petitioner must show that counsel’s failures prejudiced his defense.”). As we noted above, in order for Sochor to establish that counsel’s deficient performance prejudiced his defense, he “must show that there is a reasonable probability that, but for counsel’s unprofessional errors, the result of the [penalty-phase] proceeding would have been different.” Strickland, 466 U.S. at 694, 104 S.Ct. 2052; see also Wiggins, 123 S.Ct. at 2542.

The circuit court held that Sochor had not established prejudice. As we explain below, inherent in the circuit court’s conclusion, made after hearing the conflicting testimony presented at the evidentiary hearing, is the factual finding (which we conclude is supported by competent, substantial evidence) that even if defense counsel had adequately investigated So-chor’s background and prepared for the penalty phase, he would not have been able to present at the penalty phase any evidence significantly different from the evidence actually presented. Deferring to this factual finding, we agree with the circuit court’s conclusion that Sochor failed to show a reasonable probability that absent counsel’s errors, he would not have been sentenced to death. To explain why, we will recount the pertinent penalty-phase lay testimony and the guilt-phase expert testimony that the jury heard as well as the testimony Sochor presented at the postconviction evidentiary hearing,

a. Penalty-Phase Evidence

As we mentioned earlier, four of So-chor’s family members testified at the penalty phase: his parents, Charles and Rose Sochor; his brother, Gary Sochor; and his sister, Kathy Cooper. Their testimony revealed the following facts about Sochor: he was one of ten children; his father singled him out for repeated and brutal beatings; his mother also beat him; when he was four years old, he fell while running with a tin horn in his mouth and the tin horn went through the roof of his mouth; for a period of time when his father had been demoted at work, Sochor gave the family his paychecks; his parents noticed that he changed after he was discharged from the army — specifically, he became violent, especially when under the influence of alcohol; at one point, his parents thought he needed psychiatric help and were able to get him involuntarily committed to a hospital, but he was quickly released when the hospital told the family that although he needed psychiatric help, he was “not severe enough” to be kept there; and he attempted to commit suicide.

Sochor’s father, Charles, recounted a time when he had come home from work to learn that Sochor’s mother, Rose, had “lost her temper and beat Dennfls], then banged his head against the wall.” Charles testified that he too would to lose his temper and beat the children, with “Denny always getting the worst of it.” He told the jury of the head injury suffered by Sochor when he was four years old: Sochor had fallen while running with a tin horn in his mouth, and the horn went through the roof of his mouth, “opening a hole that you could see right into his head.” Charles also told the jury that he began to notice changes in Sochor after he was released from the army, saying that he “was violent, especially when alcohol was involved. He was completely out of control.” Charles testified that he and Rose realized at this point that Sochor “needed mental help,” and he told the jury about their attempt “to get him institutionalized.” After they convinced a judge to commit him to a mental hospital, Sochor was released after “less than a week,” on the condition that he would report once a week. Sochor was upset that his parents had him committed to the hospital, so he left home. Sochor’s father testified that he had not seen or spoken to Sochor since that incident, with the exception of one phone call he received from Sochor in which Sochor told him that he had attempted to commit suicide.

Sochor’s mother told the jury that So-chor had a “difficult childhood” and that she was “an abusive mother.” She testified that Sochor had “a lot of hostility and problems” as he got older and things became worse after he was discharged from the army, especially when he drank alcohol. She discussed the time she and So-chor’s father tried to get Sochor mental help, telling the jury that the counselors “told [them] that he definitely needed psychiatric help, but was not severe enough” to be kept there.

Sochor’s brother, Gary, testified that So-chor was beaten a lot as a child, that he took the brunt of their father’s beatings, and that their father used to beat them with a “big belt.”

Sochor’s sister, Kathy Cooper, gave the most in-depth and descriptive penalty-phase testimony about the beatings suffered by Sochor as a child. She told the jury that Sochor “had a pretty rough life” and that most of their parents’ frustrations were taken out on Sochor. She described their father as a former boxer who was “very strong,” “knew how to hit,” and had “a very quick and violent temper.” She told the jury that there were times when the other children would have to pull their father off Sochor. She testified that their father would go into “a rage” and would trap Sochor in a corner and hit him over and over — in the face, arms, and the rest of his body — resulting in Sochor “constantly [having] his lips split open, black eyes, [and] bruises all over his body.” She described an incident where their father grabbed Sochor’s hair and “kept banging his head against the wall.” She told the jury that their mother watched this happen and did nothing to stop it. Like her parents, Kathy testified that the family tried to get mental help for Sochor but the psychiatric hospital told them that “he wasn’t bad enough to where he needed help.”

Sochor’s trial counsel also introduced the reports of three mental health experts who had evaluated Sochor and testified during the guilt phase: Dr. Zager, a psychiatrist; Dr. Ceros-Livingston, a clinical psychologist; and Dr. Castillo, a psychiatrist. As mentioned previously, counsel did not provide any background materials to these experts; their evaluations were based solely on information gathered from their clinical interviews with Sochor. Nor did counsel instruct the experts to conduct their evaluations with an eye towards developing evidence of mitigating circumstances; rather, their evaluations were done for the purpose of determining So-chor’s competency to stand trial and his sanity at the time of the crime. They all testified that Sochor was competent to stand trial and was sane at the time of the crime. However, their testimony went beyond merely answering these questions, and counsel referred to their testimony and their reports in his penalty-phase closing argument.

Dr. Zager interviewed Sochor, during which he observed Sochor and gathered his “history,” which Dr. Zager defined as emotional and psychiatric problems, present legal circumstances, medical history, history of drug or alcohol use, educational history, family history, childhood experiences, and relationship history. Dr. Zager also conducted a mental status examination, which consisted of his observations not only of what Sochor said to him, but also how he said it, his stream of thought, and his orientation and awareness of present circumstances. In his guilt-phase testimony, Dr. Zager told the jury the following facts about Sochor: he had a history of drug and alcohol problems and a history of alcoholic blackouts; he claimed to have had an alcoholic blackout the night of the murder; he reported having suffered two concussions and having fallen off a horse and hitting his head as a child; and he believed his mother physically abused him as a child. Dr. Zager also told the jury that after Sochor was arrested, he was prescribed Lithium, a psychotropic medication that Dr. Zager described as a mood-stabilizing drug, and Sinequan, which he described as an antidepressant.

Dr. Zager told the jury that Sochor appeared to manifest evidence of a “longstanding problem of drug and alcohol abuse” and of a “conduct disorder, socialized, aggressive type” as a child. He suspected that Sochor suffered from “antisocial personality disorder,” and he believed Sochor was “a much more aggressive, potentially very violent, individual under the influence of intoxicants.” He believed that Sochor acted impulsively and with impaired judgment while under the influence of alcohol. Although he did not believe Sochor met the requirements for involuntary hospitalization under the Baker Act, see §§ 394.451-.4789, Fla. Stat. (2003), he did believe that Sochor was “extremely dangerous to the public.”

Dr. Ceros-Livingston also evaluated So-chor and testified during the guilt phase. She told the jury that Sochor reported a long-term history of drug and alcohol abuse, starting at a very young age; that Sochor reported that the United States Army, upon discharging him, recommended that he get psychiatric care; and that Sochor reported that he had attempted to commit suicide by drowning. Dr. Ceros-Livingston also administered two psychological tests: the Carlson Psychological Survey (CPS) and the Minnesota Multiphasic Personality Inventory (MMPI). She testified that results of the CPS revealed a profile similar to those obtained from people who have alcohol and drug abuse as a major characteristic; it also matched the profile of a person with a quick temper which might result in impulsive and destructive behavior. She testified that the profile obtained from the MMPI was invalid (“fake-bad”), which means that the person is trying to “make [himself] look psychopathological.” Based on the “fake-bad” MMPI profile, and noting that Sochor had recounted “some things that had happened in his feelings and what he allegedly said around the alleged crime,” Dr. Ceros-Livingston testified that Sochor possibly was “malingering.”

Finally, Dr. Castillo testified for the State at the guilt phase. Like Dr. Zager, Dr. Castillo told the jury that Sochor was being medicated with Lithium, which he described to the jury as a medicine used mostly to treat manic depressive illness. He described manic depressive illness as a mood- and behavior-affecting condition. However, Dr. Castillo also told the jury that he did not believe that Sochor suffered from manic depressive illness. Nor did he believe that Sochor had blacked out on the night of the murder. He believed that Sochor was suffering from “a type of selective amnesia.” Like Dr. Zager, Dr. Castillo concluded that Sochor suffered from antisocial personality disorder,

b. Postconviction Evidence

At the postconviction evidentiary hearing, Sochor presented the testimony of the same four family members who had testified at the penalty phase. He also presented the testimony of additional family members and some lay acquaintances whom trial counsel never contacted. So-chor’s father testified that he began to beat Sochor with a belt “a couple times a week” when Sochor was between six and eight years old. When Sochor was older, he would hit him with his fists. He also testified that when Sochor was about five or six years old, his older brother was severely burned. Sochor’s mother testified that she had a “difficult labor” when Sochor was born and that Sochor had marks on his head from the forceps and his head was “very pointed and blue.” She also told the jury that Sochor’s older brother had been severely burned when Sochor was a child. She again testified that she would sometimes hit Sochor and that Charles would beat the children too. Sochor’s sister, Kathy Cooper, again testified about the time Sochor’s father grabbed Sochor’s hair and beat his head against the wall. She also testified about a time when Sochor’s father kicked Sochor and then repeatedly punched him in the face. She testified that she was sexually molested by their father when she was a teenager. Sochor’s brother, Gary, testified that their father would beat the children with his “belt, fist, open hands, whatever,” and he would beat Sochor until he was bleeding, knocked out, or knocked down and in so much pain that he did not get up. He also testified that Sochor used a lot of drugs.

In addition to these four family members, Sochor presented testimony at the evidentiary hearing from other family members, friends, and teachers. One of Sochor’s high school friends, Earl Mitchell, testified about a time when Sochor got into a fight with a man much larger than he. The man picked Sochor up, threw him to the ground, and slammed his head into the pavement. He also estimated that he and Sochor “drop[ped] acid” over 150 times in 1971. One of Sochor’s childhood friends, Marvin Droste, testified that Sochor’s childhood home was “disheveled” and “unkempt,” and Sochor’s family was poor. He testified that Sochor’s father had a reputation for being “tough on the kids,” and Sochor would often tell him that his father had “whipped on” him. He testified about Sochor’s drug use and said that Sochor was “prone to quick changes and moods, quick mood swings and bouts of depression.”

Christine Thatcher testified that she worked with Sochor one summer at a professional acting company where Sochor was an intern. She testified that Sochor performed a dance number that was “stunning,” but that he was “untrained” and “unskilled.” He was “unfocused” and “undisciplined” at the beginning of the summer, but was “working extremely diligently” by the end. Louis Lascala, Sochor’s high school teacher and junior varsity basketball coach, testified that Sochor lacked “team skills” and was quiet and withdrawn from the other kids on the team. Father Melvin Cox, a Catholic priest and high school teacher, testified that Sochor was “very unmotivated” and showed “signs of depression.” Helen Foley, a family friend, testified that Sochor’s father was quiet and severe and his mother was more laid back. She also testified that Sochor was artistic.

Sochor’s younger brother, Blaine, and his younger sisters, Lisa Elaine Fisher and Melanie Wheeler, testified that their father used to beat Sochor. Blaine also testified that there were times when they were so hungry they would hunt for food, and Sochor was a “very good” brother who taught him to play sports and fish. Lisa Elaine and Melanie testified that Sochor was very protective of them. Melanie also testified that their older brother, Gary, molested and sexually abused her when she was eleven or twelve years old, and her parents did not believe her when she reported it to them. She also testified that she caught her father peeking in on her when she was in the shower and feared that he would abuse her too.

Sochor also presented the testimony of two new mental health experts: Dr. Greer, a neuropsychiatrist; and Dr. Froming, a clinical psychologist and neuropsychologist. In addition, the State presented the testimony of Dr. Ceros-Livingston, the clinical psychologist who had evaluated So-chor and testified for the defense during the guilt phase. Sochor’s postconviction counsel provided these new mental health experts, as well as Dr. Ceros-Livingston, with the background materials — -jail and prison records, school records, military records — that Sochor claims trial counsel should have provided to the original experts. The new experts evaluated Sochor to determine if any mitigating circumstances could have been presented at the penalty phase.

Dr. Greer testified that Sochor suffers from manic depressive illness and alcohol and polysubstance abuse disorder. He testified that he diagnosed Sochor with manic depressive illness based on his review of Sochor’s prison records, which indicated that Sochor had been repeatedly diagnosed as having such illness and was being treated with Lithium. He testified that his clinical interview with Sochor confirmed this diagnosis. In the interview, Sochor exhibited tangentiality, “flight of ideas,” rapid or pressured speech, grandiosity, and a hypomanic or somewhat manic mood. Dr. Greer believed that So-chor suffers from “mixed type” manic depression, which means that he has florid or full-blown manic episodes as well as depressive episodes.

Based on his evaluation of Sochor, Dr. Greer testified that there was evidence to support two mental health-related statutory mitigating circumstances. He believed the combination of manic depressive disorder and Sochor’s consumption of alcohol on the night of the murder resulted in So-chor’s lacking the ability to conform his conduct to the requirements of the law. He testified that although a person in the manic phase of the illness may know that what he is doing is wrong, his hyperactive state prevents him from being able to stop himself. Dr. Greer also believed that So-chor had been under extreme mental or emotional disturbance at the time of the murder. He believed that manic depression, being a chronic illness, was likely to have been present at the time of the murder and it was likely that when combined with alcohol, the manic phase of the illness would have been a problem for him. He believed Sochor was in the manic phase of the illness at the time of the murder based on the testimony of those who witnessed him at the time and based on Sochor’s own statements that he had the illness, had consumed alcohol, and was in a hypermo-toric state.

Dr. Froming, the clinical psychologist and neuropsyehologist, testified that So-chor had “moderately severe” brain impairment, a substance dependence disorder, bipolar affective disorder (mild with a mixed episode), and posttraumatie stress disorder as a result of the severe childhood physical and sexual abuse that was in the home. She believed that the background records provided by Sochor’s post-conviction counsel indicated the presence of several potential risk factors for brain damage: Sochor’s mother smoked during pregnancy; she had an extended labor with forceps delivery; Sochor had suffered head injuries, inflicted by his parents and incurred in various accidents; he had a history of alcohol abuse; and he grew up in an environment characterized by severe family violence and abuse. Dr. Froming testified that in her clinical interview with Sochor, she noted his rapid, pressured speech; flight of ideas; tangentiality; and depressed mood. She also testified that she conducted a battery of neuropsycho-logical tests.

Like Dr. Greer, Dr. Froming believed that Sochor had been under extreme mental or emotional disturbance at the time of the murder and had been unable to conform his conduct to the law. She testified that the synergistic effect of combining brain damage with manic depressive illness resulted in “almost no ability to self-regulate” and “no ability to inhibit impulse.” She believed that because Sochor had abstained from alcohol in the period leading up to the night of the murder, “as little as one to three drinks” would have made him “acutely intoxicated.” Dr. Froming criticized the evaluations and testimony of the original experts. She criticized their lack of attention to the fact that Sochor had been prescribed Lithium. She was also critical of Dr. Ceros-Livingston’s MMPI analysis. Dr. Froming testified that the raw data could have supported Dr. Ceros-Livingston’s “fake-bad” conclusion, but she believed it also could have supported a “cry for help” profile or an exaggeration of symptoms due to distress. She believed that Dr. Ceros-Livingston’s evaluation was “far too brief’ and there were “other things that she could have done to expand and corroborate or refute her fake bad interpretation.”

Finally, Dr. Ceros-Livingston, the psychologist who had evaluated Sochor and testified for the defense at the guilt phase of the trial, testified for the State at the evidentiary hearing. At this point, she had reviewed the background materials that Sochor’s postconviction counsel had provided to the new experts. She stated that her original diagnosis and testimony were unaffected by her review of these new materials. She testified that nothing in the background materials indicated that Sochor' suffered from manic depression or organic brain damage. She believed that a diagnosis of manic depressive illness was inconsistent with the fact that Sochor was able to sit still and concentrate during the eight-hour examination conducted by Dr. Froming. She also disputed the significance of the notations in the prison records that Sochor had been prescribed Lithium — a factor relied on by the new experts to support their diagnoses of manic depression. Dr. Ceros-Livingston noted that none of the records actually recorded any symptoms of manic depression, e.g., pressured speech, flight of ideas, distracti-bility, grandiosity, etc. She also noted that none of the many mental status exams included in the prison records ever reported that Sochor was having mood problems. Even more importantly, she stressed that even though Sochor had been prescribed Lithium in prison, he was at various times taken off the drug and the prison records never indicated that he exhibited any symptoms of manic depression during these Lithium-free periods. She also noted that the military conducts extensive physical exams, and none of Sochor’s military records indicated a diagnosis (or even the presence of any symptoms) of manic depression. Finally, she testified that there was nothing in the record that suggested to her that Sochor was in a manic phase at the time of the murder.

c. The Circuit Court’s Findings

After the evidentiary hearing, the circuit court denied relief. The court found that the lay testimony presented at the eviden-tiary hearing was either cumulative with respect to the penalty phase testimony or insignificant. As for Sochor’s relatives who testified at both the penalty phase and the evidentiary hearing, the court found that they “testified about the same facts” at the evidentiary hearing as they did at the penalty phase. State v. Sochor, Case No. 86-15270CF10A (Fla. 17th Cir. Ct. order filed Mar. 28, 2001) (“Postconviction order”) at 13. The court also found that the additional family-member testimony presented at the evidentiary hearing was “cumulative” and “was presented at the penalty phase by other family members,” and the additional lay testimony presented at the evidentiary hearing was “cumulative and not significant.” Id. at 13-14.

With respect to the mental-health testimony, the circuit court gave great weight to Dr. Ceros-Livingston’s testimony at the evidentiary hearing. For instance, the court stated:

At the evidentiary hearing, Dr. Ceros-Livingston testified that, even after reviewing the new information provided by the Defendant’s appellate counsel, her original opinions regarding the Defendant remained the same. In her opinion, the records presented to her did not indicate manic depression or organic brain damage. There was no indication that the Defendant’s behavior changed whether he was on Lithium or not.

Postconviction order at 8 (citations omitted). The court found that:

Despite the fact that “mitigation” was not specifically discussed with Dr. Ce-ros-Livingston, the record indicates that the tests that she performed on Defendant allowed her to draw opinions in regards to his mental health, which were properly presented by defense counsel to the judge and jury during the penalty phase as mitigating factors. Furthermore, Dr. Ceros-Livingston testified at the evidentiary hearing that considering her previous evaluation in conjunction with the records and background material provided to her by the Defendant’s appellate counsel in 1999, her diagnosis of the Defendant and testimony at the time of trial would have been the same. Dr. Ceros-Livingston testified at the ev-identiary hearing that when the Defendant was evaluated in 1987, he did not have manic depressive disorder. Moreover, based upon the additional information provided to her in 1999, Dr. Ceros-Livingston did not think that the Defendant had bipolar disorder or organic brain damage at the time of the murder.

Postconviction order at 9-10 (emphasis added); see also id. at 12 (“Dr. Ceros-Livingston clearly stated that her opinion would remain the same after considering the additional records.”).

d. Our Independent Review

As we stated above, our job is to review independently the circuit court’s legal conclusion — that is, whether Sochor has carried his burden of demonstrating a reasonable probability that the result of the penalty phase would have been different had counsel not been deficient. But in doing so, we must defer to the circuit court’s factual findings if those findings are supported by competent, substantial evidence. As we stated in Porter v. State, 788 So.2d 917 (Fla.2001):

The reason we have required postconviction evidentiary hearings on capital post-conviction motions claiming ineffective assistance of counsel is to provide a defendant an opportunity to present factual and expert evidence which was not presented at the trial of the case and to have the trial court evaluate and weigh that additional evidence. Following such an evidentiary hearing, we have held that the performance and prejudice prongs are mixed questions of law and fact subject to a de novo review standard but that the trial court’s factual findings are to be given deference. So long as [the trial court’s] decisions are supported by competent, substantial evidence, this Court will not substitute its judgment for that of the trial court on questions of fact and, likewise, on the credibility of the witnesses and the weight to be given to the evidence by the trial court. We recognize and honor the trial court’s superior vantage point in assessing the credibility of witnesses and in making findings of fact.

Id. at 923 (citations omitted, emphasis added).

As our review of both the penalty phase and the evidentiary hearing testimony reveals, the circuit court’s finding that Sochor presented no significant, noncumulative lay testimony at the evidentia-ry hearing is supported by competent, substantial evidence. The main lay-witness testimony at the evidentiary hearing concerned Sochor’s abusive childhood and drug abuse. Testimony about Sochor’s abusive childhood was presented at the penalty phase, and the guilt-phase experts told the jury about his history of drug abuse.

The closer question in this case is whether significant additional mental-health-related mitigation evidence was available that could have been presented at trial if counsel had not been deficient in his investigation and preparation. The answer to this question depends on whose evidentiary hearing testimony should be believed. Drs. Greer and Froming said such evidence was available. Dr. Ceros-Livingston said it was not. The postcon-viction trial judge heard all the evidence and was in a much better position than we are to “assess[] the credibility of [the] witnesses and ... mak[e] findings of fact.” Id. at 923. After reviewing the record and affording due deference to the trial court’s superior vantage point from which to make credibility assessments, we believe that the trial court’s decision to give Dr. Ceros-Livingston’s testimony greater weight than the testimony of Sochor’s new experts was supported by competent, substantial evidence.

Dr. Ceros-Livingston evaluated Sochor much closer to the time of the murder than Sochor’s new experts did. At the time of her trial testimony, Dr. Ceros-Livingston was aware of Sochor’s history of alcohol and drug abuse. She was also told by Sochor that the army had recommended that he get psychiatric care and that he once attempted to commit suicide. After administering the MMPI, she concluded that Sochor possibly was “malingering.” This was confirmed by Dr. Castillo, who believed that Sochor was suffering from “a type of selective amnesia.” While Dr. Froming criticized Dr. Ceros-Livingston’s MMPI analysis, she did admit that the raw data could have supported the “fake-bad” profile.

Furthermore, the evidentiary hearing experts’ diagnoses of manic depressive disorder were contradicted by Dr. Ceros-Livingston’s evidentiary hearing testimony and by the trial testimony of Drs. Zager and Castillo. Dr. Ceros-Livingston testified that even after reviewing the background records that were made available to the new experts, her original diagnosis did not change; she did not see anything in the records that suggested to her that Sochor suffered from manic depression. She noted that the new experts’ reliance on the prison records was misplaced because those records did not actually indicate that Sochor had been suffering from any of the symptoms of manic depression; they indicated only that he had been prescribed Lithium. Furthermore, while both Drs. Greer and Froming testified that So-chor exhibited tangentiality, flight of ideas, rapid speech, grandiosity, and a manic mood — all symptoms of manic depression — such behavior was not observed by the trial experts who examined Sochor much closer to the date of the crime. Dr. Zager testified that in his interview with Sochor, he observed not only what Sochor was saying, but also how he said it and his stream of thought. At the time Dr. Zager made these observations, he was aware that Sochor had been prescribed Lithium and Sinequan, but he did not diagnose Sochor with manic depression. Rather, he believed that Sochor suffered from a “longstanding problem of drug and alcohol abuse” and a “conduct disorder, socialized, aggressive type.” Similarly, Dr. Castillo was aware that Sochor had been prescribed Lithium, but he affirmatively ruled out a diagnosis of manic depression.

We are faced with a situation like the one we were faced with in Porter. As we noted there:

At the conclusion of the postconviction evidentiary hearing in this case, the trial court had before it two conflicting expert opinions over the existence of mitigation. Based upon our case law, it was then for the trial court to resolve the conflict by the weight the trial court afforded one expert’s opinion as compared to the other. The trial court did this and resolved the conflict by determining that the greatest weight was to be afforded the State’s expert. We accept this finding by the trial court because it was based upon competent, substantial evidence.

788 So.2d at 923. Another similar case was Cherry v. State, 781 So.2d 1040 (Fla.2000), where we deferred to the circuit court’s factual findings and affirmed its denial of relief, even though Cherry’s evi-dentiary hearing expert testified that Cherry suffered from fetal alcohol syndrome, organic brain damage, and mental retardation. Id. at 1044. We wrote the following:

Unlike Rose [v. State, 675 So.2d 567 (Fla.1996)], however, the testimony concerning the statutory mitigating evidence and some of the nonstatutory mitigating evidence was controverted either by the State during cross-examination or by Dr. Barnard [whose report was introduced into evidence at the penalty phase of Cherry’s trial and who subsequently testified for the State at the evidentiary hearing]. The trial court rejected Dr. Crown’s conclusions as to organic brain damage, fetal alcohol syndrome, and mental retardation to the extent they were based on mere speculation from the fact that Cherry’s mother drank while pregnant and Cherry had been exposed to toxins as a child. Dr. Crown admitted that he had not performed any physical tests on Cherry to confirm these conclusions. The trial court also found that Dr. Crown’s findings as to Cherry’s borderline retardation and antisocial personality were contradicted by Dr. Barnard’s reassessment of Cherry. Most significantly, Dr. Barnard, after considering the same background materials supplied to Dr. Crown, did not find any indication of organic brain damage and maintained the information did not support any statutory mitigating factors. The applicability of mitigating circumstances and the credibility of expert testimony are matters within the sound discretion of the trial court.

Cherry, 781 So.2d at 1051 (emphasis added).

As in Porter and Cherry, we find that the circuit court’s decision to credit the testimony of the State’s mental health expert over the testimony of Sochor’s new experts is supported by competent, substantial evidence. We also conclude that the circuit court’s finding that the eviden-tiary hearing lay testimony was either cumulative or insignificant is also based on competent, substantial evidence. Based on our deference to the circuit court’s factual findings and our independent review of the circuit court’s legal conclusion with respect to those factual findings, we hold that Sochor has not established that he was prejudiced by counsel’s deficient performance. Sochor has not demonstrated that but for counsel’s deficient performance the result of the penalty phase would have been different. Accordingly, we affirm the circuit court’s denial of relief on this claim.

B. Brady and Giglio Claims

Sochor claims that the State violated Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963), by failing to disclose that it gave Gary Sochor immunity from prosecution in exchange for his testimony. Sochor also claims that the State violated Giglio v. United States, 405 U.S. 150, 92 S.Ct. 763, 31 L.Ed.2d 104 (1972), by failing to correct the record when Gary testified that he had not been given immunity and by instructing Gary not to testify that he kissed and fondled the victim in the car before the murder.

Such claims present mixed questions of law and fact. Rogers, 782 So.2d at 376-77. We therefore apply a mixed standard of review, “deferring] to the factual findings made by the trial court to the extent they are supported by competent, substantial evidence, but reviewing] de novo the application of those facts to the law.” Lightbourne v. State, 841 So.2d 431, 437-38 (Fla.2003) (citing Stephens, 748 So.2d at 1031-32).

The circuit court found that the State did not offer Gary immunity in exchange for his testimony. At the evidentiary hearing, Gary testified that the police officer who escorted him into the courtroom told him that he had been given immunity. On cross-examination, however, he testified that at trial, in response to questioning from Sochor’s counsel, he had stated that he never thought the police viewed him as a suspect. Kelly Hancock, the prosecutor at Sochor’s trial, testified that he never offered Gary immunity and that police officers do not have the power to grant witnesses immunity.

The circuit court found Gary’s eviden-tiary hearing testimony to be “unreliable and not credible.” On the other hand, it found Hancock’s testimony to be “candid, trustworthy, and credible.” On appeal, Sochor simply argues that the circuit court’s finding of fact was incorrect. He argues that the court should have believed Gary rather than Hancock. We defer to the circuit court’s resolution of the issue because its finding that the State did not give Gary immunity in exchange for his testimony is supported by competent, substantial evidence. Cf. Kight v. Dugger, 574 So.2d 1066, 1073 (Fla.1990) (“There was sufficient competent evidence adduced at the rule 3.850 hearing to support the trial court’s denial of this [JSra-dy ] claim. While there was conflicting testimony concerning whether the state made concessions in exchange for the informants’ testimony, it was within the trial court’s discretion to find the state’s witnesses more credible than those of the defense.”).

We also defer to the circuit court’s factual finding that Hancock never instructed Gary to lie about his alleged sexual contact with the victim. This, too, was a matter of Gary’s testimony versus Hancock’s testimony. Gary testified at the evidentiary hearing that Hancock told him not to mention in his testimony that he had kissed and fondled the victim. Hancock, on the other hand, testified that Gary never told him that he had kissed and fondled the victim. Furthermore, at trial, in response to a question from Hancock, Gary testified that no one had told him what to say, and that Hancock had told him to tell the truth. The only evidence suggesting that Hancock told Gary to lie was Gary’s evidentiary hearing testimony, which was contradicted by Hancock’s evidentiary hearing testimony and by Gary’s own trial testimony. We cannot say that the circuit court’s decision to discredit Gary’s eviden-tiary hearing testimony was unreasonable or unsupported. See Armstrong v. State, 642 So.2d 730, 735 (Fla.1994) (stating that recanted testimony, especially when it involves a confession of perjury, is exceedingly unreliable). We therefore affirm the circuit court’s denial of Sochor’s Brady and Giglio claims.

C. Motion to Disqualify

The postconviction circuit court denied some of Sochor’s motions (to compel production of public records and to clarify other orders of the court related to public records production) during a hearing at which Sochor’s counsel was not present. Thereafter, Sochor filed a motion to disqualify the judge and now argues that the circuit court erred in denying the motion. In Arbelaez v. State, 775 So.2d 909 (Fla.2000), we defined the relevant test as follows:

A motion to disqualify will be dismissed as legally insufficient if it fails to establish a well-grounded fear on the part of the movant that he will not receive a fair hearing. To determine if a motion to disqualify is legally sufficient, this Court looks to see whether the facts alleged would place a reasonably prudent person in the fear of not receiving a fair and impartial trial.

Id. at 916 (citation omitted). We conclude that Sochor’s motion to disqualify was legally insufficient and the circuit court did not err in refusing to grant the motion.

The record reveals that Sochor’s lawyer’s absence from the hearing in question was the result of a scheduling mistake. At that hearing, the circuit court, without hearing argument by the State, “presently denied” the motions for clarification and denied the motion to compel disclosure as “duplicative” of a motion previously denied. This was all done in open court and was transcribed. The court later held more public records hearings with both sides present.

We rejected a claim similar to Sochor’s in Barwick v. State, 660 So.2d 685 (Fla.1995). Barwick filed a motion to disqualify, alleging that the judge had denied his motion to appoint a psychiatrist “after an ex parte communication with the prosecution.” Id. at 692. Barwick claimed that in open court, but without defense counsel present, the prosecutor requested that the judge hold a hearing on the defense motion to appoint a psychiatrist. Instead, the court denied the defense motion. Id. We held that Barwick’s allegation did “not support an inference that there was an ex parte communication ... as to anything other than a request by the assistant state attorney for another hearing on the motion.” Id. We reaffirmed our prior statement “that a judge is not to have any substantive communication with counsel for any party,” but held that Barwick’s allegation was not sufficient to establish that “such an ex parte communication occurred. Nor did the allegation establish that any ex parte communication that might have occurred was a legally sufficient basis for granting the motion for disqualification.” Id.

We believe the same is true here. Like the hearing in Barwick, the transcript of the hearing here demonstrates that it was not “such an ex parte communication” that provides a legally sufficient basis for a motion to disqualify.

D. Claims Summarily Denied by Circuit Court

Sochor contests the circuit court’s summary denial of five of his claims: (1) that the State violated Brady by withholding, or that trial counsel was ineffective for failing to discover and present, evidence that Sochor could have used to impeach witness Gary Sochor, specifically police interviews with Gary and reports of polygraph tests given to Gary by the police that were inconsistent with Gary’s trial testimony; (2) that trial counsel was ineffective for failing adequately to investigate the circumstances surrounding Sochor’s statements to police and for failing adequately to litigate the motion to suppress the statements; (3) that trial counsel was ineffective for failing to raise proper objections at trial and thereby preserve numerous meritorious issues for appeal; (4) that trial counsel was ineffective for failing to present evidence of Sochor’s mental health in support of his motion to suppress Sochor’s statements to police; and (5) that the procedure by which trial courts in Broward County appoint special public defenders and expert witnesses creates conflicts of interest for the trial court judges that prevent them from being independent and neutral. We reject each of these claims. •

We reject claim (1) because the record conclusively establishes that Sochor is not entitled to relief on this claim and, therefore, was not entitled to an evidentia-ry hearing on the matter. See Freeman v. State, 761 So.2d 1055, 1061 (Fla.2000). The transcript of defense counsel’s cross-examination of Gary Sochor reveals that counsel was indeed aware of Gary’s prior statements to police and used them in an attempt to impeach Gary’s trial testimony. As for the polygraph tests, their results would not have been admissible at trial without the consent of both parties. See Walsh v. State, 418 So.2d 1000, 1002 (Fla.1982). We reject claims (2), (3) and (4) because the allegations are merely conclusory. See Gaskin v. State, 737 So.2d 509, 513 n. 7 (Fla.1999) (finding ineffective-assistance claims to be insufficient to warrant relief because petitioner did “not allege[ ] how the outcome of his trial would have been different had counsel properly objected to the asserted error”); see also Lawrence v. State, 831 So.2d 121, 133 (Fla. 2002) (“A defendant may not simply file a motion for postconviction relief containing conclusory allegations that his or her trial counsel was ineffective and then expect to receive an evidentiary hearing.”) (quoting Kennedy v. State, 547 So.2d 912, 913 (Fla.1989)). And finally, we reject claim (5) because it is “meritless on its face.” See Rivera v. State, 717 So.2d 477, 480 n. 2 (Fla.1998).

E. Counsel’s Failure to Object to Jury Instructions

Sochor argues that his attorney was ineffective for failing to object to the following jury instructions: (1) the instructions regarding the “prior violent felony,” “committed during the course of a felony,” “cold, calculated, and premeditated,” and “heinous, atrocious, or cruel” aggravating circumstances; (2) the instruction that he claims improperly shifted to him the burden of proving that a death sentence was inappropriate; (3) the instruction that he claims led the jury to believe that its role was merely “advisory,” in violation of Caldwell v. Mississippi, 472 U.S. 320, 105 S.Ct. 2633, 86 L.Ed.2d 231 (1985); and (4) the instruction concerning the “murder in the course of a felony” aggravating circumstance, which he claims violated Stringer v. Black, 503 U.S. 222, 112 S.Ct. 1130, 117 L.Ed.2d 367 (1992), by rendering that aggravating circumstance “illusory.”

We reject each of these claims because Sochor cannot demonstrate the prejudice required to prevail on an ineffective assistance of counsel claim. On direct appeal, we found that the “prior violent felony,” “committed during the course of a felony,” and “heinous, atrocious, or cruel” aggravating circumstances were supported by the evidence. Sochor, 619 So.2d at 292. And although we found on direct appeal that the “cold, calculated, and premeditated” aggravating circumstance was not supported by the evidence, we held the error to be harmless beyond a reasonable doubt. Id. at 292-93. We also held that the burden-shifting claim, while not preserved for review, was nevertheless without merit. Id. at 291 n. 10; see also Demps v. Dugger, 714 So.2d 365, 367-68 & n. 8 (Fla.1998) (holding such a claim to be procedurally barred as an issue that should have been raised on direct appeal and noting that such claims repeatedly have been rejected on the merits). We also stated on direct appeal that Florida’s standard jury instructions do not violate Caldwell. See Sochor, 619 So.2d at 291. And finally, we previously have held that there is no merit to the argument that an underlying felony cannot be used as an aggravating circumstance. See Freeman v. State, 761 So.2d 1055, 1067 (Fla.2000).

F. Remaining 3.850 Claims

Sochor claims that he is entitled to relief for constitutional errors, even though otherwise procedurally barred, because he is “innocent of the death penalty.” We reject the claim because we found on direct appeal that the evidence supported the existence of three aggravating circumstances. Sochor, 619 So.2d at 292; see also Allen v. State, 854 So.2d 1255, 1258 n. 5 (Fla.2003) (holding that innocence of death penalty claim lacks merit because defendant did not allege that all the aggravating circumstances supporting his death sentence were invalid, and because this Court had already conducted a proportionality review on direct appeal). We also reject Sochor’s constitutional attack on the rules prohibiting lawyers from contacting jurors because the claim should have been raised on direct appeal and, therefore, is procedurally barred. See Thompson v. State, 759 So.2d 650, 667 n. 12 (Fla.2000). Sochor’s claim that Florida’s death penalty statute is unconstitutional is also procedurally barred. We rejected this claim on direct appeal. Sochor, 619 So.2d at 293. And Sochor’s claim that execution by electrocution or by lethal injection constitutes cruel and unusual punishment is without merit. See Provenzano v. Moore, 744 So.2d 413, 415 (Fla.1999) (holding that execution by electrocution is not cruel and unusual punishment); Sims v. State, 754 So.2d 657, 668 (Fla.2000) (holding that execution by lethal injection is not cruel and unusual punishment). Finally, our resolution of the preceding claims leads us to reject Sochor’s “cumulative errors” argument. See Bryan v. State, 748 So.2d 1003, 1008 (Fla.1999) (“[Wjhere allegations of individual error are found without merit, a cumulative-error argument based thereon must also fail.”).

III. HABEAS CORPUS

A.Ineffective Assistance of Appellate Counsel

Sochor argues that his appellate counsel was ineffective for failing to raise the “cumulative error” issue and for failing to ensure a complete appellate record. We reject the first claim because our opinion on direct appeal indicates that appellate counsel did raise the issue of cumulative error. See Sochor, 619 So.2d at 290 (“After carefully reviewing the record, we find that the claimed errors, taken individually or collectively, do not constitute fundamental error.”). We reject the second claim because Sochor has not pointed to any errors that occurred during the untran-scribed portions of the proceedings; he therefore has not established the necessary element of prejudice. See Thompson v. State, 759 So.2d 650, 660 (Fla.2000).

B.Harmless Error Analysis on Direct Appeal

Sochor’s claim that this Court did not conduct a proper harmless error analysis is without merit. On remand from the United States Supreme Court, we held that “beyond a reasonable doubt, eliminating the invalid [aggravating] factor would have made no difference in Sochor’s sentence. The trial court’s reliance on the unsupported aggravator, therefore, was harmless error.” Sochor, 619 So.2d at 293. In any event, such a claim is procedurally barred. See Bottoson v. State, 813 So.2d 31, 35 (Fla.2002) (“This Court has consistently held that habeas claims wherein the defendant challenges this Court’s previous standard of review in the case are procedurally barred.”); Thompson v. State, 759 So.2d 650, 657 n. 6 (Fla.2000) (rejecting claim that this Court conducted an improper harmless error analysis during direct appeal and characterizing the claim as an improper “invitation to utilize the writ of habeas [corpus] as a vehicle for the re-argument of issues which have been raised and ruled on by this Court.”).

C.Constitutionality of “HAC” Aggravator

We reject Sochor’s claim that the jury instruction on the “heinous, atrocious, or cruel” aggravating circumstance was unconstitutionally vague. We rejected the issue on direct appeal. Sochor, 619 So.2d at 291 & n. 10. Furthermore, we found that the evidence was sufficient to support this aggravating factor. Sochor, 619 So.2d at 292.

D. Ring Claim

Sochor argues that Florida’s capital sentencing statute is unconstitutional under Ring v. Arizona, 536 U.S. 584, 122 S.Ct. 2428, 153 L.Ed.2d 556 (2002). We previously have addressed this claim and denied relief. See Jones v. State, 845 So.2d 55, 74 (Fla.2003); Bottoson v. Moore, 833 So.2d 693 (Fla.), cert. denied, 537 U.S. 1070, 123 S.Ct. 662, 154 L.Ed.2d 564 (2002); King v. Moore, 831 So.2d 143 (Fla.), cert. denied, 537 U.S. 1067, 123 S.Ct. 657, 154 L.Ed.2d 556 (2002).

Furthermore, two of the aggravating circumstances found by the trial court were that Sochor had been convicted of a prior violent felony and that the killing was committed while Sochor was engaged in the commission of a felony. We have previously denied relief in similar cases. See, e.g., Doorbal v. State, 837 So.2d 940, 963 (Fla.) (rejecting Ring claim where one of the aggravating circumstances found by the trial judge was defendant’s prior conviction for a violent felony), cert. denied, 539 U.S. 962, 123 S.Ct. 2647, 156 L.Ed.2d 663 (2003); Belcher v. State, 851 So.2d 678, 685 (Fla.) (rejecting Ring claim where two of the aggravating circumstances found by the trial judge were defendant’s prior violent felony and that the murder was committed in the course of a felony), cert. denied, 540 U.S. 1054, 124 S.Ct. 816, 157 L.Ed.2d 706 (2003).

IV. CONCLUSION

For the reasons expressed above, we affirm the circuit court’s denial of Sochor’s rule 3.850 motion for postconviction relief and deny Sochor’s petition for a writ of habeas corpus.

It is so ordered.

WELLS, QUINCE, CANTERO, and BELL, JJ., concur.

LEWIS, J., concurs in result only.

ANSTEAD, J., dissents with an opinion, in which PARIENTE, C.J., concurs.

. We have jurisdiction. See art. V, § 3(b)(1), (9), Fla. Const.

. For a description of the underlying facts, see Sochor v. State, 580 So.2d 595, 598-99 (Fla.1991), vacated, 504 U.S. 527, 112 S.Ct. 2114, 119 L.Ed.2d 326 (1992).

. The trial judge found the following aggravating circumstances: (1) Sochor had previously been convicted of a felony involving the use or threat of violence to the person; (2) the murder was committed while Sochor was engaged in the commission of a felony; (3) the murder was especially heinous, atrocious, or cruel; and (4) the murder was committed in a cold, calculated, and premeditated manner without any pretense of moral or legal justification. Id. at 599 n. 2.

.Sochor claimed that; (1) the State withheld certain public records in violation of chapter 119, Florida Statutes; (2) the rules prohibiting Sochor's lawyers from interviewing jurors are unconstitutional and deny him adequate assistance of counsel in his postconviction proceedings; (3) the State failed to reveal, or trial counsel unreasonably failed to discover, that the State had made promises of lenient treatment to jailhouse informants or that jailhouse informants were operating as agents of the State; (4) trial counsel was ineffective, and the State violated Brady v. Maryland, 373 U.S. 83, 83 S.Ct. 1194, 10 L.Ed.2d 215 (1963), at the guilt phase; (5) the State violated Brady and Giglio v. United States, 405 U.S. 150, 92 S.Ct. 763, 31 L.Ed.2d 104 (1972), at the guilt phase; (6) the State made improper arguments at trial; (7) newly discovered evidence shows that Sochor's conviction and sentence are constitutionally unreliable; (8) Sochor is innocent of first-degree murder and innocent of the death pena