Opinion by Judge WARDLAW; Partial Concurrence and Partial Dissent by Judge SILVERMAN.

Harry Sassounian appeals the denial of his petition for a writ of habeas corpus. A jury convicted Sassounian of murdering Kemal Arikan, the Consul General of the Republic of Turkey. The jury also found true the special circumstance of killing because of nationality or national origin, and Sassounian was sentenced to life in prison without possibility of parole. Sassounian challenges both his conviction and the special circumstance finding, presenting six claims. He argues that his conviction should be overturned for prosecutorial misconduct and witness perjury; and that the special circumstance finding should be overturned because of jury misconduct, an improper aiding and abetting instruction, the vagueness of the special circumstance statute, and insufficient evidence. We have jurisdiction under 28 U.S.C. § 2253 , and we affirm in part and reverse in part.

I. Jurisdiction

The Supreme Court recently held that the appellate provision enacted by the An-titerrorism and Effective Death Penalty Act of 1996 (“AEDPA”) and found at 28 U.S.C. § 2253 , as amended, governs all appeals initiated after AEDPA’s effective date. See Slack v. McDaniel, 529 U.S. 473 , 120 S.Ct. 1595 , 146 L.Ed.2d 542 (2000). Section 2253(c)(1) provides that “unless a ... judge issues a certificate of appealability, an appeal may not be taken to a court of appeals from” a district court’s final order in a habeas case. Such certificate may issue “only if the applicant has made a substantial showing of the denial of a constitutional right,” id. § 2253(c)(2), and must “indicate which specific issue or issues satisfy the showing” id. § 2253(c)(3).

Following our pre-Slack rule, the district court applied the pre-AEDPA procedures and issued a “certificate of probable cause,” which does not specify the issues for appeal as required by the new section 2253(c)(3). See Fuller v. Roe, 182 F.3d 699, 702 (9th Cir.1999) (holding that pre-AEDPA appellate procedure applies to habeas petitions filed in the district court before the effective date of AEDPA). In this situation, Slack and Schell v. Witek, 218 F.3d 1017 (9th Cir.2000) (en banc), indicate that we should construe the notice of appeal as a request for a certificate of appealability, and issue the certificate of appealability as to the issues that satisfy the standard for issuance. See Slack, 529 U.S. at-, 120 S.Ct. at 1603 (“As AED-PA applied, the Court of Appeals should have treated the notice of appeal as an application for a [certificate of appealability].”); Schell, 218 F.3d at 1021 n. 4 (citing Slack and construing a notice of appeal as an application for a certificate of appeala-bility); see also Fed. R.App. P. 22 (“A *? request addressed to the court of appeals may be considered by a circuit judge or judges, as the court prescribes. If no express request for a certifícate is filed, the notice of appeal constitutes a request addressed to the judges of the court of appeals.”). 1

AEDPA authorizes a certificate of appealability “if the applicant has made a substantial showing of the denial of a constitutional right.” 28 U.S.C. § 2253 . A “substantial showing” “includes showing that reasonable jurists could debate whether ... the petition should have been resolved in a different manner or that the issues presented were ‘adequate to deserve encouragement to proceed further.’ ” Slack , 529 U.S. at-, 120 S.Ct. at 1599 (quoting Barefoot v. Estelle, 463 U.S. 880, 894 , 103 S.Ct. 3383 , 77 L.Ed.2d 1090 (1983)); see Lambright v. Stewart, 220 F.3d 1022 (9th Cir.2000) (describing AED-PA’s “modest standard to proceed”).

Deeming the notice of appeal to be a request for a certifícate of appealability, we find that Sassounian has made a “substantial showing of the denial of a constitutional right,” 28 U.S.C. § 2253 (c)(2), as to each of the six issues raised. See Schell, 218 F.3d at 1021 n. 4; Solis v. Garcia, 219 F.3d 922, 925-26 (9th Cir.2000). We therefore grant the request and issue a certificate of appealability as to each of Sassounian’s claims.

II. Background

This case concerns the highly publicized killing of Kemal Arikan (herein “Arikan”), the Consul General of the Republic of Turkey at Los Angeles, on January 28, 1982, in the Westwood area of Los Angeles.

The California Court of Appeal described the crime as follows: 2

People v. Sassounian, 182 Cal.App.3d 361 , 226 Cal.Rptr. 880, 883-84 (Cal.App.1986) (footnotes omitted). The prosecution charged Sassounian with capital murder.

A. The Prosecution’s Case

1. Eyewitness Testimony

The prosecution introduced the testimony of several eyewitnesses who described the murder scene and identified Sassouni-an as the gunman on the passenger side of the car.

One witness testified that while stopped at the light at Comstock and Wilshire, she saw two men standing on the southwest and southeast corners of the intersection, staring at each other but not crossing the street with the light. She contacted the police after she heard about the shooting and identified Sassounian in a lineup and at trial. She also identified a blue vest recovered from Sassounian’s brother as clothing worn by Sassounian.

Another witness testified that while he was driving on Comstock that day he heard six shots and saw two men running down Comstock. One of the men wore a blue jacket or vest. At a lineup, this witness stated that he “believed” Sassounian was that man. He later identified Sassou-nian in a photo lineup and at trial. At trial the witness explained his initial hesitant identification, stating that there was a high probability that Sassounian was the man he saw.

A third witness was stopped at a red light at Comstock while driving on Wil-shire when she heard shots and saw two men run away. One of them put something into his waistband. At an initial lineup, she could not identify Sassounian but when she saw the blue vest which police recovered from Sassounian’s brother, she remembered that one of the men in the lineup, Sassounian, had been the man on the passenger side of the car. She later identified Sassounian in a photo lineup and at trial.

A fourth witness, who was also near the intersection at the time of the murder, heard shots and saw a man shoot a gun at the car from a slightly crouched position. She could not identify Sassounian but did identify the man on the driver’s side as Krikor Saliba, a friend of Sassounian’s. A fifth witness also witnessed the shooting and identified Saliba, and a sixth identified Sassounian at trial as someone who “very much resembles the man I remember seeing on the corner.”

2. Police Investigation and Physical Evidence

The prosecution also offered evidence obtained during the police investigation. Police followed up on the information provided by a witness who followed the gunmen and watched them run down the street, discard their guns in a hedge, and drive away in a grey car with a license plate of 534 TER. The police searched the hedge and retrieved a .45 caliber pistol and a 9 millimeter pistol. They matched the license plate to a grey Chevrolet registered to Sassounian at his residence in Pasadena. The police also observed Kri-kor Saliba, who was identified as the other gunman, at Sassounian’s home, but failed to apprehend him. The police arrested Sassounian after finding him driving the grey Chevrolet near his home.

That evening, police searched Sassouni-an’s home and retrieved clothing and additional guns. The police also spoke with Sassounian’s brother, who gave them the blue vest. A police officer later testified that Sassounian’s brother told him that both he and his brother had “bad feelings toward the Turkish people.” At trial, the brother denied making this statement.

The police performed gunshot residue tests on Sassounian and found residue on his left hand, a finding consistent with having recently fired a gun. Hydroxy gui-noline tests were negative, indicating only that Sassounian could have been holding a metal object. Experts found no fingerprints on the guns. However, tests of the Chevrolet produced fingerprints of both Sassounian and Saliba.

*? A firearms expert testified that the bullets found in Arikan’s body were consistent with those test-fired from the recovered guns, that the .45 caliber pistol was fired from the passenger side of the car and that the 9 millimeter pistol from the driver’s side. Over the defense’s objection, the expert expressed his opinion that the assassins had used a “stall man” tactic, in which one person stands in front of the victim’s car to slow it down and allow for more accurate shooting.

3. Sassounian’s Confession

The prosecution introduced the testimony of Jeffrey Busch, a jailhouse informant, that Sassounian confessed to the crime. Busch testified that as an inmate “trusty,” within the jail, he talked to Sassounian, who told Busch that he committed the crime. Busch testified that he was selling candy and cigarettes to other inmates when a man identified himself as Sassouni-an and asked for help with his case. According to Busch, Sassounian explained that he worked for the Justice Commandos for the Armenian Genocide, a terrorist organization, and that he and two partners killed Arikan in a political assassination to “get revenge on what the Turkish people did to his people.” Another inmate, Danny Gruytch, testified that he saw Busch and Sassounian talking but that when he heard that they were discussing a murder he decided he did not want to get involved.

B. The Defense’s Case

Sassounian’s counsel argued that the police had the wrong man. Three witnesses testified that they could not identify Sas-sounian as the gunman. A fourth, Judith Jones, stated positively that Sassounian was not the man who had been on the southeast corner of Comstock and Wil-shire. Three alibi witnesses who knew Sassounian testified that they had seen him in Pasadena around the time of the murder.

Sassounian’s counsel also vigorously attacked Busch’s credibility. The defense questioned whether Busch was a trusty, whether he would have had access to a high-profile murder suspect like Sassouni-an, and whether Sassounian would have confessed to a stranger. Charles Laughlin and two other inmates testified that Busch fabricated Sassounian’s confession and that he was a notorious liar. Laughlin explained that he gave Busch newspaper clippings and the names of two Armenian acquaintances to help him fabricate the story. The defense also introduced evidence that Busch’s version of the assassination was incorrect on several matters. Busch incorrectly identified Tejerían and Yeghoian, the names that Laughlin testified he had provided, as the names of Sassounian’s partners. Busch also incorrectly stated that the assassination took place in Century City, near the former location of the Turkish consulate. The defense speculated that Busch got the address from an out-of-date phone book. Sassounian did not testify.

C. Jury Deliberations and Verdict

In the guilt phase, the jury deliberated for fifteen days. On January 4, 1984, the last day of deliberations, the jury sent a note to the court:

Answering the second question, the court stated that if the jury could not agree on the special circumstances, they should return a verdict addressing only the issue of guilt. To address the first question, the prosecutor then suggested that the court give an additional aiding and abetting instruction. The judge did not give the requested instruction. Instead, he stated on the record that he was unsure what the *1104 jury meant by the first question. He then returned the jury to the jury room to resume its deliberations at 2:40 p.m. At 3:50 p.m. on the same day, the jury returned its verdict.

The jury found Sassounian guilty of first degree murder and also found true the special circumstance of murder because of nationality or national origin, but did not reach a verdict on the other special circumstance' — lying in wait, see CaLPenal Code § 190.2(a)(16> — or on the charge that the defendant had used a gun in the commission of the crime, see id. § 12022.5.

Following receipt of the verdict, the jurors were excused to return for the penalty phase on January 10. Late that day or early the next, juror Dylane Rankins sent a note to the judge which read:

After receiving the note from Rankins, the court interviewed each juror. Several of the jurors stated that during deliberations, a juror mentioned a phone call made to the Turkish Consulate threatening or taking credit for the assassination of the victim.

During the trial, the prosecution had attempted to introduce evidence that a UPI reporter received a phone call on January 28, 1982, from an individual who took credit for the assassination on behalf of the Justice Commandos for the Armenian Genocide. After argument at sidebar, the trial judge had excluded the testimony and the UPI reporter never testified.

When asked what her note meant, Juror Rankins testified that the jury was deliberating about the nationality special circumstance and the related instruction. She testified:

In response to the court’s question as to what statement she was referring to, Juror Rankins further testified:

When interviewed by the court, three other jurors — Kennelly, Castillo and Walker — recalled discussion of the phone call during deliberations but the remainder did not. Juror Kennelly said she remembered the introduction of evidence of the phone call having to do with publicity for the assassination. It may be that Juror Ken-nelly overheard the sidebar argument at which the call was ruled inadmissible. 3 See People v. Sassounian, 226 Cal.Rptr. at *? 918 (Johnson, J., concurring in part and dissenting in part). Juror Castillo, the foreman, remembered that someone had mentioned the phone call after the jury-had asked the question about being unable to agree on a special circumstance. According to Juror Castillo, “we felt that since it wasn’t mentioned in court, it wasn’t something we could elaborate on.” 4

The trial judge, without explanation, declared “there was no jury misconduct.” At the conclusion of the penalty phase, the jury returned a verdict of life without possibility of parole. 5

D. Procedural History

The California Court of Appeal affirmed Sassounian’s conviction and sentence. See People v. Sassounian, 182 Cal.App.3d 361 , 226 Cal.Rptr. 880 (Cal.App.1986). Justice Johnson dissented in part, arguing that the juror misconduct should result in a reversal of the special circumstance finding. Id. at 913-22 (Johnson, J., concurring in part and dissenting in part).

Sassounian filed a state habeas petition, based in part on a declaration from Busch in which he recanted his testimony about Sassounian’s jailhouse confession. The state responded with a later declaration from Busch reversing his recantation. The Court of Appeal denied relief.

Sassounian filed a similar petition in the California Supreme Court. The Supreme Court remandéd the case to the Court of Appeal to address whether Sassounian’s petition should be granted based on the new information about Busch’s testimony. The Court of Appeal appointed a referee, who held an evidentiary hearing and found Busch’s trial testimony credible. The Court of Appeal affirmed. Justice Johnson again dissented and questioned whether the referee “adequately performed the mission he was assigned.” The Supreme Court affirmed in a published opinion, stating that even if Busch’s trial testimony was not credible, the error was harmless because he was vigorously impeached by Sas-sounian’s counsel and overwhelming evidence supported the conviction. See In re Sassounian, 9 Cal.4th 535 , 37 Cal.Rptr.2d 446, 454 , 887 P.2d 527 (Cal.1995).

Sassounian then filed this federal habeas petition in district court. Although Magistrate Judge Eick recommended that relief be granted because of jury misconduct, Judge Byrne denied the petition in full. This appeal followed.

III. Discussion

We review the district court’s denial of a habeas petition de novo. See Spivey v. Rocha, 194 F.3d 971, 974-75 (9th Cir.1999). Because Sassounian filed his petition before April 24, 1996, the operative date of AEDPA, we look to pre-AEDPA precedent to assess the merits of his petition. See Lindh v. Murphy, 521 U.S. 320, 327 , 117 S.Ct. 2059 , 138 L.Ed.2d 481 (1997).

A. Guilt Phase Issues

1. Prosecutorial Misconduct

Sassounian argues that his conviction must be overturned because of prose- *1106 cutorial misconduct. A habeas petition will be granted for prosecutorial misconduct only when the misconduct “so infected the trial with unfairness as to make the resulting conviction a denial of due process.” Darden v. Wainwright, 477 U.S. 168, 181 , 106 S.Ct. 2464 , 91 L.Ed.2d 144 (1986) (quoting Donnelly v. DeChristoforo, 416 U.S. 637, 643 , 94 S.Ct. 1868 , 40 L.Ed.2d 431 (1974)); see Bonin v. Calderon, 59 F.3d 815, 843 (9th Cir.1995).

The prosecutorial misconduct allegations fall into three categories. First, Sassouni-an argues that the prosecutor intentionally introduced the expert’s testimony about the stall man tactic without foundation. The prosecutor represented to the trial court that a subsequent witness would provide foundation for the expert’s stall man theory, i.e. testimony that one of the gunmen stood in front of the car. The trial judge allowed the testimony over defense objection. The foundational witness, however, failed to testify to the predicate fact.' The prosecutor conceded that she had made an honest mistake in introducing the stall man evidence. Sassounian argues this was intentional misconduct because the prosecutor knew from the foundation witness’s preliminary hearing testimony that she would not provide foundation for the expert’s opinion.

Second, Sassounian argues that the prosecutor asked improper questions of defense witness Laughlin. Laughlin, who served time in prison with Busch, testified that he helped Busch fabricate a story about Sassounian. Because Laughlin’s testimony contradicted every part of Busch’s testimony, he was a crucial defense witness. During Laughlin’s cross-examination, the prosecutor several times accused him of being a liar. At one point she retorted, “isn’t that because nobody believed your information?” She also inquired whether he had a grudge against the police because they “proved he was a liar,” and referred to “when we found out about your lies.” The trial judge sustained an objection and informed the prosecutor that she should not testify.

Sassounian’s third allegation regarding prosecutorial misconduct is that the prosecutor told the jury that the defense counsel made up evidence. Saliba’s sister identified his car and stated that the license plate, 534 TER, was not the proper plate. Defense counsel, noting that the getaway car was missing the front license plate, argued that Saliba had put the missing license plate on his car and that Saliba’s car, not Sassounian’s, was in fact the getaway car. The prosecutor argued that this was a “trick,” implying that Sassounian’s counsel had set up the photograph.

None of the prosecutor’s actions rose to the level of a due process violation. In light of the other evidence supporting the conclusion that the murder was an assassination, the stall man evidence added little to the prosecution’s case. Evidence that the assailants used a particular technique tends to indicate that it was an assassination, not a murder in the course of some other crime. But this fact did not specifically implicate Sassounian, nor did it shed light on his motive. Furthermore, because other witnesses testified that the first shots were fired from in front of the car, the prosecution may have had sufficient foundation despite the foundation witness’s failure to testify as expected.

Many of the prosecutor’s comments on Laughlin’s lying were appropriate in context, in response to Laughlin’s admissions that he lied. See Greer v. Miller, 483 U.S. 756, 765-66 , 107 S.Ct. 3102 , 97 L.Ed.2d 618 (1987) (noting importance of viewing alleged misconduct in context). The prosecutor did stray-beyond proper advocacy during the trial by, for example, introducing her own opinion that Laughlin was a liar and implying that defense counsel had fabricated evidence. The trial judge, however, correctly sustained several objections to the alleged misconduct. Cf. United States v. Sarkisian, 197 F.3d 966, 988 (9th Cir.1999) (stating “the defendants fail to show that they were prejudiced because the district court sustained the defendant’s objection and struck the an *? swer”). The judge also instructed the jury that lawyers’ comments and argument are not evidence. Cf. id. Furthermore, the misconduct was isolated to a few points in the trial. Cf. Hall v. Whitley, 935 F.2d 164, 165-66 (9th Cir.1991) (“Put in proper context, the comments were isolated moments in a three day trial.”). We cannot say that prosecutorial misconduct deprived Sassounian of a fair trial.

2. Witness Perjury

Sassounian also argues that his conviction should be overturned because Busch fabricated the entire story about his meeting with Sassounian, and that the prosecution knew about at least some of Busch’s lies. Perjury by a government witness requires a new trial “if there is a reasonable probability that [without the evidence] the result of the proceedings would have been different.” Franklin v. Duncan, 884 F.Supp. 1435, 1456 (N.D.Cal. 1995), adopted on appeal, 70 F.3d 75, 76 (9th Cir.1995) (quoting United States v. Young, 17 F.3d 1201, 1203-04 (9th Cir.1994)). Sassounian’s petition should be granted if perjury “undermines confidence in the outcome of the trial.” United States v. Bagley, 473 U.S. 667, 678 , 105 S.Ct. 3375 , 87 L.Ed.2d 481 (1985).

As the California Supreme Court noted, Busch “was apparently dubious on the circumstances” of Sassounian’s confession and “wrong on several matters” “[a]s to the substance.” In re Sassounian, 37 Cal. Rptr.2d at 449 , 887 P.2d 527 . There were questions about whether he would have had access to Sassounian, a high-profile prisoner in relatively tight custody, and whether he was a trusty. Busch incorrectly testified that the assassination took place in Century City, the previous location of the Turkish consulate. Busch also stated that the assassins used 9 mm pistols, when one gunman in fact used a .45 caliber gun. In addition, Busch identified Sassounian’s partners as “Tejerían” and “Yeghoian,” individuals who had no connection to the crime but who had been acquaintances of Laughlin.

In a June 1991 declaration, Busch recanted all of his testimony. He stated that he had fabricated the story with help from a fellow inmate and that he had never had any contact with Sassounian. He stated that a police detective filled him in on the details of the case, and also gave him money, bought him a car, and promised to help him with his ease. In October 1991, however, Busch recanted his recantation and stated in another declaration that he had testified truthfully at trial.

The government contends that this court must defer to the factual findings of the California Court of Appeal. On habeas review, we must presume correct “a determination after a hearing on the merits of a factual issue, made by a State court of competent jurisdiction in a proceeding to which the applicant for the writ and the State or an officer or agent thereof were parties.” 28 U.S.C. § 2254 (d) (1995). The California Court of Appeal, adopting the referee’s report, found that Busch was credible in his trial testimony. The court also found that the government witnesses were credible when they testified that they did not make promises to Busch or suppress evidence. The California Supreme Court, however, did not address the factual findings made by the Court of Appeal. See In re Sassounian, 37 Cal.Rptr.2d at 456 , 887 P.2d 527 . Rather, the Supreme Court found that, even if Busch fabricated his testimony, the error was harmless because Busch’s testimony was vigorously impeached already and overwhelming evidence supported Sassounian’s guilt as to the special circumstance finding. See In re Sassounian, 37 Cal.Rptr.2d at 455 , 887 P.2d 527 . 6

The district court, relying on a Fifth Circuit case, see Craker v. Procunier, *1108 756 F.2d 1212, 1213-14 (5th Cir.1985), deferred to the findings made by the Court of Appeal. We need not decide, however, whether section 2254(d) requires deference when one state court makes factual findings and a higher state court affirms the case without relying on the findings. Instead, we agree with the California Supreme Court that there is not a reasonable probability that, without Busch’s testimony, the result would have been different.

The prosecution produced strong evidence of Sassounian’s guilt. As the district court concluded:

In short, without Busch’s testimony, there is not a reasonable probability that the result would have been different.

B. Special Circumstance Issues

1. Jury Misconduct

Sassounian contends that the jury’s consideration of facts not in evidence invalidated the special circumstance finding. Juror misconduct is a mixed question of law and fact, reviewed de novo. See Rodriguez v. Marshall, 125 F.3d 739, 744 (9th Cir.1997).

A juror’s communication of extrinsic facts implicates the Confrontation Clause. See Jeffries v. Wood, 114 F.3d 1484, 1490 (9th Cir.1997) (en banc). The juror in effect becomes an unsworn witness, not subject to confrontation or cross examination. See id. The government concedes, and the California Court of Appeal found, that “the reference to [the] phone call introduced into the deliberations a matter which was not admitted into evidence and as such constituted jury misconduct.” People v. Sassounian, 226 Cal.Rptr. at 900 . Thus, the only issue before us is whether the error was harmless; that is, whether the extrinsic information had a “substantial and injurious effect or influence in determining the jury’s verdict.” Brecht v. Abrahamson, 507 U.S. 619, 623 , 113 S.Ct. 1710 , 123 L.Ed.2d 353 (1993); cf. Bains v. Cambra, 204 F.3d 964, 977 (9th Cir.2000) (stating “we now join the vast majority of our sister circuits by deciding that the Brecht standard should apply uniformly in all federal habeas corpus cases under § 2254”).

Before turning to the merits, we must determine what evidence may be considered in evaluating the jury’s consideration of the improper evidence. Federal Rule of Evidence 606(b) provides that:

A long line of precedent distinguishes between juror testimony about the consideration of extrinsic evidence, which may be considered by a reviewing court, and juror testimony about the subjective effect of evidence on the particular juror, which may not. See, e.g., Rodriguez, 125 F.3d at 744 ; Dickson v. Sullivan, 849 F.2d 403, 406 (9th Cir.1988) (“the question of prejudice is an objective, rather than a subjective, one”); United States v. Bagnariol, 665 F.2d 877, 884-85 (9th Cir.1981) (“Jurors may testify regarding extraneous prejudicial information or improper outside influences. They may not be questioned about the deliberative process or subjective effects of extraneous informa *? tion, nor can such information be considered by the trial or appellate courts.”); Rushen v. Spain, 464 U.S. 114 , 121 n. 5, 104 S.Ct. 453 , 78 L.Ed.2d 267 (1983); Mattox v. United States, 146 U.S. 140, 149 , 13 S.Ct. 50 , 36 L.Ed. 917 (1892). As Justice Johnson noted, having to ignore the most direct evidence of prejudice—Rankins’ testimony that she relied on the extrinsic information—lends an “Alice in Wonderland quality to the discussion of whether [Sassounian] was actually prejudiced by the admitted jury misconduct.” People v. Sassounian, 226 Cal.Rptr. at 914 . Nevertheless, the weight of authority and sound policy reasons support this view. See, e.g., McDonald v. Pless, 238 U.S. 264, 267-68 , 35 S.Ct. 783 , 59 L.Ed. 1300 (1915) (noting that finality of verdicts supports the rule). Therefore, although we may consider testimony concerning whether the improper evidence was considered, we may not consider the jurors’ testimony about the subjective impact of the improperly admitted evidence. Even with this limitation, however, analysis of the relevant factors compels the conclusion that the fact that four jurors recalled discussing the phone call, when and how it occurred, the nature of the extrinsic evidence it introduced into the deliberations and the weakness of the trial evidence bearing on the special circumstance, had a “substantial and injurious effect or influence” on the special circumstance finding.

“There is no bright line test for determining whether a defendant has suffered prejudice from an instance of juror misconduct.” Rodriguez, 125 F.3d at 744 (9th Cir.1997). However, “we place great weight on the nature of the extraneous information that has been introduced into deliberations.” Id. (citing Jeffries, 114 F.3d at 1490 ). We have identified the following factors as relevant to the inquiry:

Dickson, 849 F.2d at 406 (quoting Marino v. Vasquez, 812 F.2d 499, 506 (9th Cir.1987)). We have also pointed to other factors that “might nonetheless suggest that the potential prejudice of the extrinsic information was diminished in a particular case.” Jeffries, 114 F.3d at 1491 . These include:

Id. at 1491-92 (footnotes omitted).

Here, there is no doubt the jury received the improper evidence. Four jurors testified that the phone call taking credit for the killing came up during deliberations. Although other jurists in the long course of these proceedings have been quick to note that Juror Castillo testified that the phone call was mentioned but not considered, a close reading of that testimony reveals that Juror Castillo was not referring to the same phone call, i.e., the call to the Turkish embassy claiming credit for the Arikan assassination. Rather, Juror Castillo was referring to another telephone call related to a map drawn by informant Busch, which contained references to actions taken against Turkish government properties. During the map discussions, the jurors spoke of “the incidents that were written down there, that somebody had called up and claimed responsibility for those.”

Moreover, at least two jurors, Rankins and Kennelly, testified that they thought the call had been received into *1110 evidence. Although only two, or possibly three, jurors remembered hearing about the improper information, “[t]he number of jurors affected by the misconduct does not weigh heavily in the prejudice calculus for even a single juror’s improperly influenced vote deprives the defendant of an unprejudiced, unanimous verdict.” Lawson v. Borg, 60 F.3d 608, 613 (9th Cir.1995); see Dickson, 849 F.2d at 408 (“If only one juror was unduly biased or improperly influenced, Dickson was deprived of his sixth amendment right to an impartial panel.”); Dyer v. Calderon, 151 F.3d 970, 973 (9th Cir.1998) (“The Sixth Amendment guarantees criminal defendants a verdict by impartial, indifferent jurors. The bias or prejudice or even a single juror would violate Dyer’s right to a fair trial.”); United States v. Gonzalez, 214 F.3d 1109 (9th Cir.2000); Tinsley v. Borg, 895 F.2d 520, 523-24 (9th Cir.1990) (“Even if only one juror is unduly biased or prejudiced, the defendant is denied his constitutional right to an impartial jury.”) (internal quotations omitted); Harrington v. California, 395 U.S. 250, 254 , 89 S.Ct. 1726 , 23 L.Ed.2d 284 (1969) (recognizing that “we must reverse if we can imagine a single juror whose mind might have been made up because of Cooper’s and Bosby’s [inadmissible] confessions and who otherwise would have remained in doubt and unconvinced”); United States v. Delaney, 732 F.2d 639, 643 (8th Cir.1984) (“If a single juror is improperly influenced, the verdict is as unfair as if all were.”).

The timing of the jury’s discussion of the improper evidence was critical. After fifteen days of deliberations, at 1:55 p.m. on January 4, the jury asked what it should do if it could agree on a verdict but could not agree on any of the special circumstances. The jury was sent back to the jury room at 2:40. It was during the next hour, before the verdict was returned at 3:50 p.m., that the jury discussed the phone call as the reason the Turkish Consul was killed. Without even considering Juror Rankins’ statement that the phone call is what caused her to stop holding out on the special circumstance finding, the timing of this pivotal information alone compels the conclusion that it was not harmless. Lengthy deliberations preceding the misconduct and a relatively quick verdict following the misconduct strongly suggest prejudice. See Marino, 812 F.2d at 505 (granting petition when jury returned verdict shortly after juror, who had held out for thirty days, considered improper evidence). But even more compelling is the fact that the evidence was discussed in response to Juror Rankins’ question based on the jury instruction about the “most reasonable reason” for the killing. The improper phone call “evidence” thus supplied the “reasonable reason” Juror Rankins needed to convict.

The very nature of the improper evidence also suggests that it prejudiced Sassounian. The government argues that unlike in other cases granting relief, the extrinsic information did not directly implicate the defendant. See Jeffries, 114 F.3d 1484 (petition granted where jury learned about defendant’s prior criminal record); Lawson v. Borg, 60 F.3d 608 (9th Cir.1995) (petition granted where jury improperly told that defendant was violent); Jeffries v. Blodgett, 5 F.3d 1180, 1191 (9th Cir.1993) (petition granted where jury learned that defendant had committed pri- or armed robbery); Dickson, 849 F.2d 403 (petition granted where jury told that defendant had committed a similar crime); Marino v. Vasquez, 812 F.2d 499 (9th Cir.1987) (petition granted where juror did experiment testing whether she could fire a gun in a particular position). A review of the government’s cases, however, reveals that the improperly considered evidence here was even more damaging. Unlike the evidence of prior bad acts found prejudicial in those cases, the evidence of the phone call supplied an element of the very issue being deliberated.

The phone call directly related to Sas-sounian’s motive, which was at issue in the special circumstance for which he was convicted. Cf . Rodriguez, 125 F.3d at 744 (stating that reversible juror misconduct *? usually relates “directly to a material aspect of the case” (emphasis added) (citing Bagnariol, 665 F.2d at 885 )). Three jurors testified to the same phone call — this phone call could only have been the one discussed during the lengthy and contentious side bar described in footnote 3. In her proffer, the state prosecutor represented that the UPI reporter received a phone call which named the Justice Commandos for the Armenian Genocide as the organization taking credit for the crime. Thus, the call specifically pointed to a nationality-based motive. This reference was all the more significant because it corroborated Busch’s testimony that Sas-sounian committed the crime for the Justice Commandos, the same group mentioned in the call. Thus, the phone call not only powerfully suggested that the killers acted based on the nationality of the victim, but also rehabilitated Busch’s thoroughly impeached testimony about Sassou-nian’s confession to a political killing.

It cannot be said that the other evidence amassed at trial was so overwhelming that the jury would have reached the same result even if it had not considered the extraneous material. Although the jury did hear other evidence related to the special circumstance, all of it was either circumstantial or challenged at trial. The prosecution presented Sassounian’s brother’s statement that he and his brother had bad feelings for Turkey, Busch’s testimony about Sassounian’s membership in an Armenian terrorist organization, and evidence that Arikan traveled in an official limousine with diplomatic license plates. However, on the stand, the brother denied making the statement about his feelings about Turkey. In addition, vague expressions of ill will are not nearly as probative as a definite statement taking responsibility for the killing on behalf of an anti-Turkish terrorist organization. Because the defense vigorously cross-examined Busch and introduced evidence that he was a notorious liar, Busch’s credibility was suspect. As Justice Johnson explained, Busch’s “testimonial thread” was “tattered.” People v. Sassounian, 226 Cal. Rptr. at 917 (Johnson, J., concurring in part and dissenting in part). Finally, Ari-kan’s official status, revealed by license plates reading only “Consul Corps,” does not specifically implicate Sassounian. By contrast, the phone call not only demonstrates that the killers targeted Arikan because of his nationality, but also directly connects Sassounian to the crime and the special circumstance motivation by corroborating Busch’s testimony that Sassounian killed Arikan while working for the Justice 'Commandos for the Armenian Genocide. Because the phone call provided significant probative evidence of a nationality-based motive of Sassounian, it reasonably could have had a profound effect on the jury.

Finally, the judge never had an opportunity to diminish the prejudicial effect of the extraneous information. Because he did not know that the jury found out about the phone call until after the verdict, the jury was never told not to consider it.

We therefore conclude that jury misconduct had a “substantial and injurious effect” on the special circumstance finding. We believe that the dissent misapplies the “substantial and injurious effect” test to the facts presented here. Rejecting the standard established in Chapman v. California, 386 U.S. 18 , 87 S.Ct. 824 , 17 L.Ed.2d 705 (1967), the Supreme Court in Brecht imported the harmless-error standard of Kotteakos v. United States, 328 U.S. 750 , 66 S.Ct. 1239 , 90 L.Ed. 1557 (1946), into review of habeas petitions. In Kotteakos , the Court explained the application of the substantial and injurious effect test:

Kotteakos, 328 U.S. at 765 , 66 S.Ct. 1239 (emphasis added). Here, when all is said and done, these simple facts remain: after *1112 fifteen days of deliberation the jury was hung on each of the special circumstances. Then, in response to Juror Rankin’s searching question for the “reason” for the killing, the improper extrinsic evidence was introduced into the deliberations. Within one hour, the jury found true the special circumstance of murder because of nationality or national origin but hung on each of the other charged circumstances.

We “cannot say, with fair assurance, after pondering all that happened without stripping” from the deliberations the improper introduction of the Justice Commandos phone call, that the special circumstance verdict was not substantially swayed by the error. Id. Thus “it is impossible to conclude that substantial rights” — the difference between life and life without the possibility of parole “were not affected.” Id. By reciting a list of “evidence” to reach the conclusion that “Arikan was killed because of his nationality,” see infra at 13544 (Silverman, J., dissenting), the dissent not only improperly places itself in the role of the jury, it disregards Kotteakos ’ admonition that “the inquiry cannot be merely whether there was enough to support the result, apart from the phase affected by the error.” Id. We therefore reverse the district court as to the special circumstance.

2. Other Issues Related to the Special ^ Circumstance Finding

Because we find that juror misconduct warrants relief on the special circumstance finding, we need not address Sassounian’s arguments that the special circumstance finding should be invalidated because of an improper aiding and abetting instruction, 7 the vagueness of the special circumstance statute, or lack of sufficient evidence.

IV.

As to the conviction, we AFFIRM the district court. As to the special circumstance finding, we REVERSE the district court, and remand for proceedings consistent with this disposition.

. Our Circuit Rules express a preference for district court consideration of requests for certificates of appealability: "The Court of Appeals will not act on a request for a certificate of appealability if the district court has not first ruled on the request.” Ninth Circuit Rule 22-2(a). Accordingly, remand may be appropriate in other factual circumstances not before us. Here, however, when an intervening Supreme Court case changed the law, we agree with the Seventh Circuit's statement that it is "better to put the question to a court that has read the briefs and heard oral argument than to toss it back to a district judge who may have forgotten what the fuss is about.” Williams v. United States, 150 F.3d 639, 641 (7th Cir.1998).

. We must presume correct the factual findings of the California state courts. See 28 U.S.C. § 2254 (d) (1995); Sumner v. Mata, 449 U.S. 539, 546-47 , 101 S.Ct. 764 , 66 L.Ed.2d 722 (1981).

. There is no question that a lengthy and contentious side bar took place inside Department No. 133 of the Los Angeles Superior Court following District Attorney Rubin's statement that “the People call James Doyle.” The colloquy occupies ten pages of trial transcript and includes defense counsel, Mr. Ger-agos, walking away, asking "How long does this have to go on?" Ms. Rubin proffered the testimony of Mr. Doyle, a UPI reporter, who was to testify that approximately fifteen min *? utes after the killing, he received an anonymous phone call from someone who took credit for being a Justice Commando for the Armenian Genocide for the Arikan assassination. Ms. Rubin sought to introduce this testimony to link this supposed co-conspirator, who admitted to being a Justice Commando, to Mr. Sassounian. It was also intended to reinforce confidential informant Busch's earlier testimony that "defendant told him that he was a member of the terrorist group called The Justice Commandos." In view of Juror Kennelly's testimony, the record speaks loud and clear as to the source of the extrinsic evidence.

. But see infra pp. 1109, where it is shown that this statement by Juror Castillo was made with reference to a different phone call — not the one which was the subject of the juror misconduct.

. Under the applicable California law, first degree murder carried a penalty of death, life without possibility of parole, or twenty-five years to life. See Cal.Penal Code § 190 (1982). In a first degree murder case in which the jury found true the special circumstance, the law required that the penalty be either death or life without possibility of parole. See id. § 190.2(a).

. The Supreme Court also criticized the referee for including ''inflammatory or immaterial'' findings in his report, but did not comment on whether the conclusions in the report were supported by the record. See In re Sassounian, 37 Cal.Rptr.2d at 450 , 887 P.2d 527 .

. Although Sassounian asserts that the conviction should be overturned based on instructional error, he confines his argument to the special circumstance finding.