LMFDB - Embedded newform 966.2.be.a.19.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(19,966)]

mf = mfinit([N,k,chi],0)

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([0, 55, 45]))

N = Newforms(chi, 2, names="a")

//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code

chi := DirichletCharacter("966.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.be (of order $66$, degree $20$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$16$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			19.8
Character	$\chi$	$=$	966.19
Dual form			966.2.be.a.661.8

$q$-expansion

comment: q-expansion

sage: f.q_expansion() # note that sage often uses an isomorphic number field

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.18053 - 1.63968i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02341 + 2.43980i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})$	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.18053 - 1.63968i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02341 + 2.43980i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(3.32199 - 1.32992i) q^{10} +(0.0701201 + 0.734330i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(0.228795 + 0.0328957i) q^{13} +(0.786862 + 2.52603i) q^{14} +(-1.00813 + 3.43336i) q^{15} +(0.928368 + 0.371662i) q^{16} +(1.52019 - 4.39231i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(2.09143 + 6.04279i) q^{19} +(3.43336 - 1.00813i) q^{20} +(-2.47200 - 0.942975i) q^{21} +0.737671i q^{22} +(-4.79028 + 0.230779i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(4.52694 - 6.35719i) q^{25} +(0.224632 + 0.0544950i) q^{26} +(0.755750 + 0.654861i) q^{27} +(0.543184 + 2.58939i) q^{28} +(-3.64659 - 4.20838i) q^{29} +(-1.32992 + 3.32199i) q^{30} +(-4.38497 + 1.06378i) q^{31} +(0.888835 + 0.458227i) q^{32} +(-0.579848 - 0.455998i) q^{33} +(1.93083 - 4.22792i) q^{34} +(7.25548 + 6.08178i) q^{35} +(0.142315 - 0.989821i) q^{36} +(10.5225 - 0.501246i) q^{37} +(1.50756 + 6.21423i) q^{38} +(-0.181694 + 0.142886i) q^{39} +(3.51364 - 0.677199i) q^{40} +(1.00069 - 1.55710i) q^{41} +(-2.37117 - 1.17368i) q^{42} +(-1.16796 - 3.97772i) q^{43} +(-0.0701201 + 0.734330i) q^{44} +(-1.78915 - 3.09891i) q^{45} +(-4.79052 - 0.225611i) q^{46} +(-2.10742 - 1.21672i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(-4.90525 + 4.99385i) q^{49} +(5.11073 - 5.89809i) q^{50} +(2.12981 + 4.13126i) q^{51} +(0.218434 + 0.0756009i) q^{52} +(3.93741 + 5.00682i) q^{53} +(0.690079 + 0.723734i) q^{54} +(1.42708 + 2.22058i) q^{55} +(0.294587 + 2.62930i) q^{56} +(-5.81663 - 2.65636i) q^{57} +(-3.23004 - 4.53596i) q^{58} +(-0.793049 - 1.98094i) q^{59} +(-1.63968 + 3.18053i) q^{60} +(-5.26736 + 5.02242i) q^{61} +(-4.46623 + 0.642147i) q^{62} +(2.38834 - 1.13835i) q^{63} +(0.841254 + 0.540641i) q^{64} +(0.781626 - 0.270523i) q^{65} +(-0.533877 - 0.509051i) q^{66} +(8.38269 + 5.96929i) q^{67} +(2.32397 - 4.02524i) q^{68} +(3.13865 - 3.62614i) q^{69} +(6.64451 + 6.74392i) q^{70} +(-4.46234 - 9.77116i) q^{71} +(0.235759 - 0.971812i) q^{72} +(-2.37303 + 12.3125i) q^{73} +(10.5225 + 0.501246i) q^{74} +(1.47697 + 7.66326i) q^{75} +(0.910030 + 6.32940i) q^{76} +(-1.71986 + 0.922603i) q^{77} +(-0.194454 + 0.124968i) q^{78} +(5.27236 - 6.70435i) q^{79} +(3.56211 - 0.340140i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(1.14417 - 1.45493i) q^{82} +(-1.57535 + 1.01242i) q^{83} +(-2.24887 - 1.39376i) q^{84} +(-2.36695 - 16.4625i) q^{85} +(-0.784568 - 4.07073i) q^{86} +(5.56218 + 0.264959i) q^{87} +(-0.139605 + 0.724340i) q^{88} +(-2.35525 + 9.70846i) q^{89} +(-1.48648 - 3.25494i) q^{90} +(0.153893 + 0.591879i) q^{91} +(-4.74738 - 0.679958i) q^{92} +(2.25608 - 3.90764i) q^{93} +(-1.98222 - 1.41153i) q^{94} +(16.5601 + 15.7900i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-11.2277 - 7.21560i) q^{97} +(-5.35773 + 4.50496i) q^{98} +(0.730162 - 0.104981i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	$ 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) $ 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$1$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{15}{22}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.995472	+	0.0950560i	0.703905	+	0.0672148i
$2$	0.995472	+	0.0950560i	0.703905	+	0.0672148i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$3$	−0.690079	+	0.723734i	−0.398417	+	0.417848i
$4$	0.981929	+	0.189251i	0.490964	+	0.0946256i
$5$	3.18053	−	1.63968i	1.42238	−	0.733285i	0.436334	−	0.899785i	$-0.356277\pi$
$5$	3.18053	−	1.63968i	1.42238	−	0.733285i	0.986042	+	0.166499i	$0.0532464\pi$
$6$	−0.755750	+	0.654861i	−0.308533	+	0.267346i
$7$	1.02341	+	2.43980i	0.386814	+	0.922158i
$7$	1.02341	+	2.43980i	0.386814	+	0.922158i
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	−0.0475819	−	0.998867i	−0.0158606	−	0.332956i
$10$	3.32199	−	1.32992i	1.05050	−	0.420559i
$11$	0.0701201	+	0.734330i	0.0211420	+	0.221409i	0.999868	+	0.0162380i	$0.00516896\pi$
$11$	0.0701201	+	0.734330i	0.0211420	+	0.221409i	−0.978726	+	0.205171i	$0.934225\pi$
$12$	−0.814576	+	0.580057i	−0.235148	+	0.167448i
$13$	0.228795	+	0.0328957i	0.0634562	+	0.00912362i	0.173970	−	0.984751i	$-0.444340\pi$
$13$	0.228795	+	0.0328957i	0.0634562	+	0.00912362i	−0.110514	+	0.993875i	$0.535250\pi$
$14$	0.786862	+	2.52603i	0.210298	+	0.675111i
$15$	−1.00813	+	3.43336i	−0.260297	+	0.886490i
$16$	0.928368	+	0.371662i	0.232092	+	0.0929156i
$17$	1.52019	−	4.39231i	0.368701	−	1.06529i	−0.596236	−	0.802810i	$-0.703338\pi$
$17$	1.52019	−	4.39231i	0.368701	−	1.06529i	0.964937	−	0.262483i	$-0.0845412\pi$
$18$	0.0475819	−	0.998867i	0.0112152	−	0.235435i
$19$	2.09143	+	6.04279i	0.479807	+	1.38631i	0.882213	+	0.470850i	$0.156053\pi$
$19$	2.09143	+	6.04279i	0.479807	+	1.38631i	−0.402406	+	0.915461i	$0.631826\pi$
$20$	3.43336	−	1.00813i	0.767723	−	0.225424i
$21$	−2.47200	−	0.942975i	−0.539435	−	0.205774i
$22$			0.737671i			0.157272i
$23$	−4.79028	+	0.230779i	−0.998842	+	0.0481207i
$23$	−4.79028	+	0.230779i	−0.998842	+	0.0481207i
$24$	−0.866025	+	0.500000i	−0.176777	+	0.102062i
$25$	4.52694	−	6.35719i	0.905387	−	1.27144i
$26$	0.224632	+	0.0544950i	0.0440539	+	0.0106874i
$27$	0.755750	+	0.654861i	0.145444	+	0.126028i
$28$	0.543184	+	2.58939i	0.102652	+	0.489349i
$29$	−3.64659	−	4.20838i	−0.677154	−	0.781477i	0.308324	−	0.951281i	$-0.400232\pi$
$29$	−3.64659	−	4.20838i	−0.677154	−	0.781477i	−0.985478	+	0.169804i	$0.945686\pi$
$30$	−1.32992	+	3.32199i	−0.242810	+	0.606509i
$31$	−4.38497	+	1.06378i	−0.787563	+	0.191061i	−0.609319	−	0.792926i	$-0.708557\pi$
$31$	−4.38497	+	1.06378i	−0.787563	+	0.191061i	−0.178244	+	0.983986i	$0.557042\pi$
$32$	0.888835	+	0.458227i	0.157125	+	0.0810038i
$33$	−0.579848	−	0.455998i	−0.100939	−	0.0793790i
$34$	1.93083	−	4.22792i	0.331134	−	0.725082i
$35$	7.25548	+	6.08178i	1.22640	+	1.02801i
$36$	0.142315	−	0.989821i	0.0237191	−	0.164970i
$37$	10.5225	−	0.501246i	1.72988	−	0.0824044i	0.841141	−	0.540816i	$-0.181885\pi$
$37$	10.5225	−	0.501246i	1.72988	−	0.0824044i	0.888740	+	0.458412i	$0.151582\pi$
$38$	1.50756	+	6.21423i	0.244558	+	1.00808i
$39$	−0.181694	+	0.142886i	−0.0290943	+	0.0228800i
$40$	3.51364	−	0.677199i	0.555556	−	0.107075i
$41$	1.00069	−	1.55710i	0.156281	−	0.243178i	−0.754280	−	0.656553i	$-0.772014\pi$
$41$	1.00069	−	1.55710i	0.156281	−	0.243178i	0.910561	+	0.413375i	$0.135650\pi$
$42$	−2.37117	−	1.17368i	−0.365880	−	0.181103i
$43$	−1.16796	−	3.97772i	−0.178113	−	0.606596i	−0.999351	−	0.0360113i	$-0.988535\pi$
$43$	−1.16796	−	3.97772i	−0.178113	−	0.606596i	0.821239	−	0.570585i	$-0.193283\pi$
$44$	−0.0701201	+	0.734330i	−0.0105710	+	0.110704i
$45$	−1.78915	−	3.09891i	−0.266711	−	0.461958i
$46$	−4.79052	−	0.225611i	−0.706324	−	0.0332645i
$47$	−2.10742	−	1.21672i	−0.307399	−	0.177477i	0.338363	−	0.941016i	$-0.390127\pi$
$47$	−2.10742	−	1.21672i	−0.307399	−	0.177477i	−0.645762	+	0.763539i	$0.723460\pi$
$48$	−0.909632	+	0.415415i	−0.131294	+	0.0599600i
$49$	−4.90525	+	4.99385i	−0.700750	+	0.713407i
$50$	5.11073	−	5.89809i	0.722766	−	0.834116i
$51$	2.12981	+	4.13126i	0.298233	+	0.578492i
$52$	0.218434	+	0.0756009i	0.0302914	+	0.0104840i
$53$	3.93741	+	5.00682i	0.540844	+	0.687739i	0.977269	−	0.212001i	$-0.0679980\pi$
$53$	3.93741	+	5.00682i	0.540844	+	0.687739i	−0.436425	+	0.899741i	$0.643756\pi$
$54$	0.690079	+	0.723734i	0.0939079	+	0.0984877i
$55$	1.42708	+	2.22058i	0.192428	+	0.299423i
$56$	0.294587	+	2.62930i	0.0393659	+	0.351355i
$57$	−5.81663	−	2.65636i	−0.770431	−	0.351844i
$58$	−3.23004	−	4.53596i	−0.424125	−	0.595600i
$59$	−0.793049	−	1.98094i	−0.103246	−	0.257896i	0.867746	−	0.497008i	$-0.165568\pi$
$59$	−0.793049	−	1.98094i	−0.103246	−	0.257896i	−0.970992	+	0.239112i	$0.923144\pi$
$60$	−1.63968	+	3.18053i	−0.211681	+	0.410604i
$61$	−5.26736	+	5.02242i	−0.674417	+	0.643055i	−0.947806	−	0.318849i	$-0.896704\pi$
$61$	−5.26736	+	5.02242i	−0.674417	+	0.643055i	0.273389	+	0.961904i	$0.411855\pi$
$62$	−4.46623	+	0.642147i	−0.567212	+	0.0815527i
$63$	2.38834	−	1.13835i	0.300903	−	0.143418i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	0.781626	−	0.270523i	0.0969487	−	0.0335543i
$66$	−0.533877	−	0.509051i	−0.0657158	−	0.0626598i
$67$	8.38269	+	5.96929i	1.02411	+	0.729264i	0.963174	−	0.268877i	$-0.0866526\pi$
$67$	8.38269	+	5.96929i	1.02411	+	0.729264i	0.0609341	+	0.998142i	$0.480592\pi$
$68$	2.32397	−	4.02524i	0.281823	−	0.488132i
$69$	3.13865	−	3.62614i	0.377849	−	0.436536i
$70$	6.64451	+	6.74392i	0.794171	+	0.806053i
$71$	−4.46234	−	9.77116i	−0.529582	−	1.15962i	−0.965682	−	0.259725i	$-0.916368\pi$
$71$	−4.46234	−	9.77116i	−0.529582	−	1.15962i	0.436100	−	0.899898i	$-0.356359\pi$
$72$	0.235759	−	0.971812i	0.0277845	−	0.114529i
$73$	−2.37303	+	12.3125i	−0.277742	+	1.44106i	0.528225	+	0.849104i	$0.322858\pi$
$73$	−2.37303	+	12.3125i	−0.277742	+	1.44106i	−0.805968	+	0.591960i	$0.798354\pi$
$74$	10.5225	+	0.501246i	1.22321	+	0.0582687i
$75$	1.47697	+	7.66326i	0.170546	+	0.884877i
$76$	0.910030	+	6.32940i	0.104388	+	0.726032i
$77$	−1.71986	+	0.922603i	−0.195996	+	0.105140i
$78$	−0.194454	+	0.124968i	−0.0220175	+	0.0141498i
$79$	5.27236	−	6.70435i	0.593186	−	0.754298i	−0.393072	−	0.919508i	$-0.628588\pi$
$79$	5.27236	−	6.70435i	0.593186	−	0.754298i	0.986258	+	0.165210i	$0.0528301\pi$
$80$	3.56211	−	0.340140i	0.398256	−	0.0380288i
$81$	−0.995472	+	0.0950560i	−0.110608	+	0.0105618i
$82$	1.14417	−	1.45493i	0.126352	−	0.160670i
$83$	−1.57535	+	1.01242i	−0.172918	+	0.111127i	−0.624237	−	0.781235i	$-0.714590\pi$
$83$	−1.57535	+	1.01242i	−0.172918	+	0.111127i	0.451319	+	0.892363i	$0.350954\pi$
$84$	−2.24887	−	1.39376i	−0.245372	−	0.152072i
$85$	−2.36695	−	16.4625i	−0.256732	−	1.78561i
$86$	−0.784568	−	4.07073i	−0.0846022	−	0.438958i
$87$	5.56218	+	0.264959i	0.596329	+	0.0284066i
$88$	−0.139605	+	0.724340i	−0.0148820	+	0.0772149i
$89$	−2.35525	+	9.70846i	−0.249656	+	1.02909i	0.699586	+	0.714548i	$0.253368\pi$
$89$	−2.35525	+	9.70846i	−0.249656	+	1.02909i	−0.949242	+	0.314547i	$0.898147\pi$
$90$	−1.48648	−	3.25494i	−0.156689	−	0.343101i
$91$	0.153893	+	0.591879i	0.0161323	+	0.0620458i
$92$	−4.74738	−	0.679958i	−0.494949	−	0.0708905i
$93$	2.25608	−	3.90764i	0.233944	−	0.405204i
$94$	−1.98222	−	1.41153i	−0.204450	−	0.145588i
$95$	16.5601	+	15.7900i	1.69903	+	1.62002i
$96$	−0.945001	+	0.327068i	−0.0964487	+	0.0333812i
$97$	−11.2277	−	7.21560i	−1.14000	−	0.732633i	−0.172375	−	0.985031i	$-0.555144\pi$
$97$	−11.2277	−	7.21560i	−1.14000	−	0.732633i	−0.967623	+	0.252399i	$0.918781\pi$
$98$	−5.35773	+	4.50496i	−0.541213	+	0.455070i
$99$	0.730162	−	0.104981i	0.0733841	−	0.0105510i
$100$	5.64823	−	5.38558i	0.564823	−	0.538558i
$101$	3.91895	−	7.60171i	0.389950	−	0.756398i	−0.609384	−	0.792875i	$-0.708583\pi$
$101$	3.91895	−	7.60171i	0.389950	−	0.756398i	0.999334	+	0.0364769i	$0.0116135\pi$
$102$	1.72747	+	4.31500i	0.171045	+	0.427249i
$103$	−4.77247	−	6.70199i	−0.470245	−	0.660367i	0.509533	−	0.860451i	$-0.329818\pi$
$103$	−4.77247	−	6.70199i	−0.470245	−	0.660367i	−0.979779	+	0.200084i	$0.935879\pi$
$104$	0.210259	+	0.0960221i	0.0206176	+	0.00941574i
$105$	−9.40845	+	1.05412i	−0.918170	+	0.102872i
$106$	3.44365	+	5.35842i	0.334477	+	0.520456i
$107$	−3.17396	−	3.32875i	−0.306838	−	0.321803i	0.552202	−	0.833710i	$-0.313788\pi$
$107$	−3.17396	−	3.32875i	−0.306838	−	0.321803i	−0.859041	+	0.511907i	$0.828939\pi$
$108$	0.618159	+	0.786053i	0.0594824	+	0.0756380i
$109$	−9.45974	−	3.27405i	−0.906079	−	0.313597i	−0.166007	−	0.986125i	$-0.553087\pi$
$109$	−9.45974	−	3.27405i	−0.906079	−	0.313597i	−0.740072	+	0.672528i	$0.765209\pi$
$110$	1.20954	+	2.34618i	0.115325	+	0.223700i
$111$	−6.89855	+	7.96136i	−0.654782	+	0.755658i
$112$	0.0433226	+	2.64540i	0.00409360	+	0.249966i
$113$	0.376253	−	0.171829i	0.0353949	−	0.0161643i	−0.397639	−	0.917542i	$-0.630170\pi$
$113$	0.376253	−	0.171829i	0.0353949	−	0.0161643i	0.433034	+	0.901378i	$0.357443\pi$
$114$	−5.53778	−	3.19724i	−0.518661	−	0.299449i
$115$	−14.8572	+	8.58850i	−1.38544	+	0.800882i
$116$	−2.78424	−	4.82245i	−0.258511	−	0.447754i
$117$	0.0219719	−	0.230101i	0.00203131	−	0.0212728i
$118$	−0.601157	−	2.04735i	−0.0553410	−	0.188474i
$119$	12.2722	−	0.786184i	1.12499	−	0.0720694i
$120$	−1.93458	+	3.01027i	−0.176602	+	0.274798i
$121$	10.2669	−	1.97878i	0.933354	−	0.179889i
$122$	−5.72092	+	4.49898i	−0.517948	+	0.407319i
$123$	0.436373	+	1.79875i	0.0393464	+	0.162188i
$124$	−4.50705	+	0.214697i	−0.404745	+	0.0192804i
$125$	1.42808	−	9.93250i	0.127731	−	0.888389i
$126$	2.48573	−	0.906164i	0.221447	−	0.0807275i
$127$	−3.57424	+	7.82650i	−0.317163	+	0.694490i	−0.999326	−	0.0367102i	$-0.988312\pi$
$127$	−3.57424	+	7.82650i	−0.317163	+	0.694490i	0.682163	+	0.731200i	$0.261039\pi$
$128$	0.786053	+	0.618159i	0.0694779	+	0.0546381i
$129$	3.68480	+	1.89964i	0.324428	+	0.167254i
$130$	0.803801	−	0.195000i	0.0704980	−	0.0171026i
$131$	−0.909056	+	2.27071i	−0.0794246	+	0.198393i	−0.962765	−	0.270338i	$-0.912864\pi$
$131$	−0.909056	+	2.27071i	−0.0794246	+	0.198393i	0.883341	+	0.468731i	$0.155289\pi$
$132$	−0.483072	−	0.557494i	−0.0420460	−	0.0485236i
$133$	−12.6028	+	11.2869i	−1.09280	+	0.978703i
$134$	7.77732	+	6.73908i	0.671858	+	0.582168i
$135$	3.47744	+	0.843618i	0.299291	+	0.0726071i
$136$	2.69607	−	3.78610i	0.231186	−	0.324656i
$137$	16.5586	−	9.56014i	1.41470	−	0.816778i	0.418874	−	0.908044i	$-0.362425\pi$
$137$	16.5586	−	9.56014i	1.41470	−	0.816778i	0.995826	+	0.0912667i	$0.0290916\pi$
$138$	3.46912	−	3.31137i	0.295311	−	0.281883i
$139$		−	16.8930i		−	1.43284i	−0.697667	−	0.716422i	$-0.745779\pi$
$139$		−	16.8930i		−	1.43284i	0.697667	−	0.716422i	$-0.254221\pi$
$140$	5.97338	+	7.34499i	0.504842	+	0.620765i
$141$	2.33487	−	0.685579i	0.196631	−	0.0577361i
$142$	−3.51333	−	10.1511i	−0.294832	−	0.851861i
$143$	−0.00811322	+	0.170317i	−0.000678462	+	0.0142427i
$144$	0.327068	−	0.945001i	0.0272557	−	0.0787501i
$145$	−18.4985	−	7.40566i	−1.53621	−	0.615007i
$146$	−3.53266	+	12.0311i	−0.292365	+	0.995704i
$147$	−0.229211	−	6.99625i	−0.0189050	−	0.577041i
$148$	10.4272	+	1.49920i	0.857107	+	0.123233i
$149$	−5.46632	+	3.89255i	−0.447819	+	0.318890i	−0.781622	−	0.623753i	$-0.785607\pi$
$149$	−5.46632	+	3.89255i	−0.447819	+	0.318890i	0.333803	+	0.942643i	$0.391668\pi$
$150$	0.741845	+	7.76896i	0.0605714	+	0.634333i
$151$	−0.800645	+	0.320530i	−0.0651556	+	0.0260844i	−0.404011	−	0.914754i	$-0.632384\pi$
$151$	−0.800645	+	0.320530i	−0.0651556	+	0.0260844i	0.338856	+	0.940838i	$0.389960\pi$
$152$	0.304262	+	6.38724i	0.0246789	+	0.518074i
$153$	−4.45967	−	1.30948i	−0.360543	−	0.105865i
$154$	−1.79977	+	0.754942i	−0.145030	+	0.0608350i
$155$	−12.2022	+	10.5733i	−0.980108	+	0.849269i
$156$	−0.205452	+	0.105918i	−0.0164493	+	0.00848021i
$157$	−21.3881	−	4.12223i	−1.70696	−	0.328990i	−0.759899	−	0.650042i	$-0.774751\pi$
$157$	−21.3881	−	4.12223i	−1.70696	−	0.328990i	−0.947062	+	0.321052i	$0.895964\pi$
$158$	5.88577	−	6.17282i	0.468247	−	0.491083i
$159$	−6.34073	−	0.605466i	−0.502852	−	0.0480166i
$160$	3.57831			0.282890
$161$	−5.46549	−	11.4511i	−0.430741	−	0.902476i
$162$	−1.00000			−0.0785674
$163$	−15.8003	−	1.50874i	−1.23757	−	0.118174i	−0.544325	−	0.838874i	$-0.683214\pi$
$163$	−15.8003	−	1.50874i	−1.23757	−	0.118174i	−0.693246	+	0.720701i	$0.743820\pi$
$164$	1.27729	−	1.33958i	0.0997394	−	0.104604i
$165$	−2.59191	−	0.499550i	−0.201780	−	0.0388899i
$166$	−1.66446	+	0.858087i	−0.129187	+	0.0666005i
$167$	−7.05845	+	6.11618i	−0.546199	+	0.473285i	−0.883708	−	0.468038i	$-0.844961\pi$
$167$	−7.05845	+	6.11618i	−0.546199	+	0.473285i	0.337509	+	0.941322i	$0.390416\pi$
$168$	−2.10620	−	1.60122i	−0.162497	−	0.123537i
$169$	−12.4221	−	3.64747i	−0.955550	−	0.280575i
$170$	−0.791372	−	16.6129i	−0.0606955	−	1.27415i
$171$	5.93643	−	2.37659i	0.453970	−	0.181742i
$172$	−0.394069	−	4.12687i	−0.0300474	−	0.314671i
$173$	−8.22025	+	5.85361i	−0.624974	+	0.445042i	−0.848165	−	0.529733i	$-0.822292\pi$
$173$	−8.22025	+	5.85361i	−0.624974	+	0.445042i	0.223190	+	0.974775i	$0.428353\pi$
$174$	5.51181	+	0.792479i	0.417849	+	0.0600777i
$175$	20.1432	+	4.53878i	1.52268	+	0.343099i
$176$	−0.207826	+	0.707790i	−0.0156655	+	0.0533517i
$177$	1.98094	+	0.793049i	0.148897	+	0.0596092i
$178$	−3.26743	+	9.44062i	−0.244904	+	0.707604i
$179$	0.627350	−	13.1697i	0.0468904	−	0.984350i	−0.845750	−	0.533580i	$-0.820846\pi$
$179$	0.627350	−	13.1697i	0.0468904	−	0.984350i	0.892640	−	0.450770i	$-0.148851\pi$
$180$	−1.17035	−	3.38150i	−0.0872328	−	0.252042i
$181$	−2.47947	+	0.728038i	−0.184298	+	0.0541147i	−0.372579	−	0.928000i	$-0.621526\pi$
$181$	−2.47947	+	0.728038i	−0.184298	+	0.0541147i	0.188281	+	0.982115i	$0.439708\pi$
$182$	0.0969341	+	0.603827i	0.00718524	+	0.0447587i
$183$		−	7.27803i		−	0.538008i
$184$	−4.66125	−	1.12815i	−0.343632	−	0.0831680i
$185$	32.6451	−	18.8476i	2.40011	−	1.38571i
$186$	2.61731	−	3.67549i	0.191910	−	0.269500i
$187$	3.33200	+	0.808336i	0.243660	+	0.0591113i
$188$	−1.83907	−	1.59356i	−0.134128	−	0.116223i
$189$	−0.824285	+	2.51407i	−0.0599579	+	0.182872i
$190$	14.9842	+	17.2926i	1.08706	+	1.25454i
$191$	−1.49762	+	3.74088i	−0.108364	+	0.270680i	−0.972632	−	0.232352i	$-0.925358\pi$
$191$	−1.49762	+	3.74088i	−0.108364	+	0.270680i	0.864268	+	0.503032i	$0.167782\pi$
$192$	−0.971812	+	0.235759i	−0.0701345	+	0.0170144i
$193$	−19.1497	−	9.87236i	−1.37843	−	0.710628i	−0.399863	−	0.916575i	$-0.630942\pi$
$193$	−19.1497	−	9.87236i	−1.37843	−	0.710628i	−0.978563	+	0.205947i	$0.933973\pi$
$194$	−10.4910	−	8.25018i	−0.753207	−	0.592329i
$195$	−0.343597	+	0.752372i	−0.0246055	+	0.0538785i
$196$	−5.76170	+	3.97528i	−0.411550	+	0.283949i
$197$	1.70840	−	11.8822i	0.121718	−	0.846571i	−0.833890	−	0.551931i	$-0.813891\pi$
$197$	1.70840	−	11.8822i	0.121718	−	0.846571i	0.955608	−	0.294640i	$-0.0951997\pi$
$198$	0.736835	−	0.0350998i	0.0523646	−	0.00249443i
$199$	0.874111	+	3.60314i	0.0619641	+	0.255420i	0.994366	−	0.106005i	$-0.0338058\pi$
$199$	0.874111	+	3.60314i	0.0619641	+	0.255420i	−0.932402	+	0.361424i	$0.882291\pi$
$200$	6.13459	−	4.82430i	0.433781	−	0.341129i
$201$	−10.1049	+	1.94756i	−0.712744	+	0.137370i
$202$	4.62380	−	7.19477i	0.325329	−	0.506222i
$203$	6.53565	−	13.2039i	0.458713	−	0.926729i
$204$	1.30948	+	4.45967i	0.0916818	+	0.312239i
$205$	0.629575	−	6.59320i	0.0439714	−	0.460489i
$206$	−4.11379	−	7.12530i	−0.286622	−	0.496443i
$207$	0.458448	+	4.77387i	0.0318643	+	0.331807i
$208$	0.200179	+	0.115574i	0.0138799	+	0.00801359i
$209$	−4.29075	+	1.95952i	−0.296798	+	0.135543i
$210$	−9.46605	+	0.155022i	−0.653219	+	0.0106975i
$211$	4.81995	−	5.56251i	0.331819	−	0.382939i	−0.565184	−	0.824965i	$-0.691195\pi$
$211$	4.81995	−	5.56251i	0.331819	−	0.382939i	0.897002	+	0.442026i	$0.145740\pi$
$212$	2.91871	+	5.66150i	0.200457	+	0.388833i
$213$	10.1511	+	3.51333i	0.695541	+	0.240729i
$214$	−2.84317	−	3.61539i	−0.194355	−	0.247143i
$215$	−10.2369	−	10.7362i	−0.698151	−	0.732200i
$216$	0.540641	+	0.841254i	0.0367859	+	0.0572401i
$217$	−7.08305	−	9.60975i	−0.480829	−	0.652352i
$218$	−9.10569	−	4.15843i	−0.616715	−	0.281644i
$219$	−7.27336	−	10.2140i	−0.491488	−	0.690199i
$220$	0.981045	+	2.45053i	0.0661421	+	0.165215i
$221$	0.492300	−	0.954929i	0.0331157	−	0.0642355i
$222$	−7.62409	+	7.26956i	−0.511696	+	0.487901i
$223$	−13.1539	+	1.89124i	−0.880847	+	0.126647i	−0.567874	−	0.823115i	$-0.692234\pi$
$223$	−13.1539	+	1.89124i	−0.880847	+	0.126647i	−0.312973	+	0.949762i	$0.601325\pi$
$224$	−0.208335	+	2.63754i	−0.0139199	+	0.176228i
$225$	−6.56539	−	4.21932i	−0.437693	−	0.281288i
$226$	0.390882	−	0.135286i	0.0260011	−	0.00899907i
$227$	−12.8572	−	12.2593i	−0.853361	−	0.813678i	0.130716	−	0.991420i	$-0.458272\pi$
$227$	−12.8572	−	12.2593i	−0.853361	−	0.813678i	−0.984077	+	0.177742i	$0.943121\pi$
$228$	−5.20879	−	3.70916i	−0.344961	−	0.245645i
$229$	3.18585	−	5.51806i	0.210527	−	0.364644i	−0.741353	−	0.671116i	$-0.765815\pi$
$229$	3.18585	−	5.51806i	0.210527	−	0.364644i	0.951880	+	0.306472i	$0.0991486\pi$
$230$	−15.6063	+	7.13734i	−1.02905	+	0.470622i
$231$	0.519118	−	1.88139i	0.0341555	−	0.123786i
$232$	−2.31323	−	5.06528i	−0.151871	−	0.332552i
$233$	7.10160	−	29.2732i	0.465241	−	1.91775i	0.0745832	−	0.997215i	$-0.476237\pi$
$233$	7.10160	−	29.2732i	0.465241	−	1.91775i	0.390658	−	0.920536i	$-0.372247\pi$
$234$	0.0437449	−	0.226970i	0.00285969	−	0.0148375i
$235$	−8.69773	−	0.414324i	−0.567377	−	0.0270275i
$236$	−0.403822	−	2.09523i	−0.0262866	−	0.136388i
$237$	1.21382	+	8.44231i	0.0788462	+	0.548387i
$238$	12.2913	+	0.383918i	0.796727	+	0.0248857i
$239$	19.2684	−	12.3830i	1.24637	−	0.800993i	0.260011	−	0.965606i	$-0.416274\pi$
$239$	19.2684	−	12.3830i	1.24637	−	0.800993i	0.986358	+	0.164613i	$0.0526374\pi$
$240$	−2.21196	+	2.81274i	−0.142782	+	0.181562i
$241$	6.08984	−	0.581509i	0.392281	−	0.0374583i	0.102948	−	0.994687i	$-0.467172\pi$
$241$	6.08984	−	0.581509i	0.392281	−	0.0374583i	0.289333	+	0.957228i	$0.406566\pi$
$242$	10.4085	−	0.993891i	0.669084	−	0.0638897i
$243$	0.618159	−	0.786053i	0.0396549	−	0.0504253i
$244$	−6.12267	+	3.93480i	−0.391964	+	0.251900i
$245$	−7.41298	+	23.9261i	−0.473598	+	1.52858i
$246$	0.263415	+	1.83209i	0.0167947	+	0.116810i
$247$	0.279726	+	1.45136i	0.0177985	+	0.0923476i
$248$	−4.50705	−	0.214697i	−0.286198	−	0.0136333i
$249$	0.354397	−	1.83879i	0.0224590	−	0.116528i
$250$	2.36575	−	9.75177i	0.149623	−	0.616756i
$251$	3.74826	+	8.20755i	0.236588	+	0.518056i	0.990266	−	0.139188i	$-0.0444493\pi$
$251$	3.74826	+	8.20755i	0.236588	+	0.518056i	−0.753678	+	0.657244i	$0.771722\pi$
$252$	2.56061	−	0.665777i	0.161303	−	0.0419400i
$253$	−0.505362	−	3.50146i	−0.0317718	−	0.220135i
$254$	−4.30202	+	7.45131i	−0.269933	+	0.467537i
$255$	13.5479	+	9.64738i	0.848399	+	0.604142i
$256$	0.723734	+	0.690079i	0.0452334	+	0.0431299i
$257$	−5.87114	+	2.03202i	−0.366232	+	0.126754i	−0.503985	−	0.863713i	$-0.668133\pi$
$257$	−5.87114	+	2.03202i	−0.366232	+	0.126754i	0.137753	+	0.990467i	$0.456012\pi$
$258$	3.48754	+	2.24130i	0.217125	+	0.139538i
$259$	11.9918	+	25.1597i	0.745132	+	1.56335i
$260$	0.818698	−	0.117711i	0.0507735	−	0.00730012i
$261$	−4.03011	+	3.84270i	−0.249457	+	0.237857i
$262$	−1.12078	+	2.17402i	−0.0692423	+	0.134311i
$263$	3.42771	+	8.56201i	0.211362	+	0.527956i	0.995727	−	0.0923427i	$-0.0294355\pi$
$263$	3.42771	+	8.56201i	0.211362	+	0.527956i	−0.784365	+	0.620299i	$0.787011\pi$
$264$	−0.427891	−	0.600889i	−0.0263349	−	0.0369821i
$265$	20.7326	+	9.46826i	1.27359	+	0.581630i
$266$	−13.6186	+	10.0379i	−0.835012	+	0.615461i
$267$	−5.40104	−	8.40418i	−0.330538	−	0.514327i
$268$	7.10151	+	7.44785i	0.433794	+	0.454950i
$269$	10.0185	+	12.7396i	0.610840	+	0.776746i	0.988827	−	0.149064i	$-0.0476262\pi$
$269$	10.0185	+	12.7396i	0.610840	+	0.776746i	−0.377987	+	0.925811i	$0.623384\pi$
$270$	3.38150	+	1.17035i	0.205792	+	0.0712252i
$271$	5.45183	+	10.5751i	0.331175	+	0.642390i	0.994359	−	0.106067i	$-0.0338256\pi$
$271$	5.45183	+	10.5751i	0.331175	+	0.642390i	−0.663184	+	0.748456i	$0.730795\pi$
$272$	3.04376	−	3.51268i	0.184555	−	0.212988i
$273$	−0.534561	−	0.297066i	−0.0323531	−	0.0179792i
$274$	17.3924	−	7.94285i	1.05071	−	0.479845i
$275$	4.98571	+	2.87850i	0.300649	+	0.173580i
$276$	3.76818	−	2.96662i	0.226818	−	0.178569i
$277$	16.5320	+	28.6342i	0.993310	+	1.72046i	0.596665	+	0.802491i	$0.296492\pi$
$277$	16.5320	+	28.6342i	0.993310	+	1.72046i	0.396645	+	0.917972i	$0.370174\pi$
$278$	1.60578	−	16.8165i	0.0963083	−	1.00859i
$279$	1.27122	+	4.32938i	0.0761060	+	0.259193i
$280$	5.24814	+	7.87953i	0.313637	+	0.470892i
$281$	−16.0454	+	24.9672i	−0.957191	+	1.48942i	−0.0872950	+	0.996183i	$0.527822\pi$
$281$	−16.0454	+	24.9672i	−0.957191	+	1.48942i	−0.869896	+	0.493236i	$0.835814\pi$
$282$	2.38946	−	0.460531i	0.142290	−	0.0274242i
$283$	−1.07524	+	0.845577i	−0.0639163	+	0.0502643i	−0.649606	−	0.760271i	$-0.725066\pi$
$283$	−1.07524	+	0.845577i	−0.0639163	+	0.0502643i	0.585690	+	0.810535i	$0.300824\pi$
$284$	−2.53250	−	10.4391i	−0.150276	−	0.619446i
$285$	−22.8555	+	1.08874i	−1.35384	+	0.0644915i
$286$	−0.0242662	+	0.168775i	−0.00143489	+	0.00997988i
$287$	4.82313	+	0.847919i	0.284700	+	0.0500511i
$288$	0.415415	−	0.909632i	0.0244786	−	0.0536006i
$289$	−3.61851	−	2.84563i	−0.212854	−	0.167390i
$290$	−17.7107	−	9.13052i	−1.04001	−	0.536163i
$291$	12.9702	−	3.14653i	0.760324	−	0.184453i
$292$	−4.66029	+	11.6409i	−0.272723	+	0.681229i
$293$	−6.96158	−	8.03409i	−0.406700	−	0.469357i	0.515040	−	0.857166i	$-0.327777\pi$
$293$	−6.96158	−	8.03409i	−0.406700	−	0.469357i	−0.921739	+	0.387810i	$0.873232\pi$
$294$	0.436862	−	6.98635i	0.0254783	−	0.407452i
$295$	−5.77041	−	5.00009i	−0.335966	−	0.291117i
$296$	10.2374	+	2.48358i	0.595039	+	0.144355i
$297$	−0.427891	+	0.600889i	−0.0248288	+	0.0348671i
$298$	−5.81158	+	3.35532i	−0.336656	+	0.194368i
$299$	−1.10358	−	0.104779i	−0.0638217	−	0.00605950i
$300$			7.80430i			0.450581i
$301$	8.50952	−	6.92045i	0.490481	−	0.398888i
$302$	−0.827488	+	0.242972i	−0.0476166	+	0.0139815i
$303$	2.79723	+	8.08206i	0.160697	+	0.464302i
$304$	−0.304262	+	6.38724i	−0.0174506	+	0.366333i
$305$	−8.51785	+	24.6107i	−0.487731	+	1.40921i
$306$	−4.31500	−	1.72747i	−0.246672	−	0.0987527i
$307$	−9.72550	+	33.1220i	−0.555064	+	1.89037i	−0.112461	+	0.993656i	$0.535873\pi$
$307$	−9.72550	+	33.1220i	−0.555064	+	1.89037i	−0.442603	+	0.896718i	$0.645945\pi$
$308$	−1.86338	+	0.580445i	−0.106176	+	0.0330739i
$309$	8.14384	+	1.17091i	0.463287	+	0.0666106i
$310$	−13.1521	+	9.36553i	−0.746986	+	0.531927i
$311$	2.49855	+	26.1660i	0.141680	+	1.48374i	0.734614	+	0.678486i	$0.237363\pi$
$311$	2.49855	+	26.1660i	0.141680	+	1.48374i	−0.592934	+	0.805251i	$0.702031\pi$
$312$	−0.214590	+	0.0859088i	−0.0121488	+	0.00486363i
$313$	1.41936	+	29.7960i	0.0802267	+	1.68417i	0.577358	+	0.816491i	$0.304084\pi$
$313$	1.41936	+	29.7960i	0.0802267	+	1.68417i	−0.497131	+	0.867675i	$0.665613\pi$
$314$	−20.8995	−	6.13663i	−1.17942	−	0.346310i
$315$	5.72967	−	7.53664i	0.322830	−	0.424642i
$316$	6.44588	−	5.58539i	0.362609	−	0.314203i
$317$	−5.28111	+	2.72260i	−0.296616	+	0.152916i	−0.600111	−	0.799917i	$-0.704877\pi$
$317$	−5.28111	+	2.72260i	−0.296616	+	0.152916i	0.303494	+	0.952833i	$0.401847\pi$
$318$	−6.25446	−	1.20545i	−0.350733	−	0.0675982i
$319$	2.83465	−	2.97289i	0.158710	−	0.166450i
$320$	3.56211	+	0.340140i	0.199128	+	0.0190144i
$321$	4.59942			0.256714
$322$	−4.35224	−	11.9188i	−0.242541	−	0.664209i
$323$	29.7212			1.65373
$324$	−0.995472	−	0.0950560i	−0.0553040	−	0.00528089i
$325$	1.24486	−	1.30557i	0.0690525	−	0.0724202i
$326$	−15.5853	−	3.00382i	−0.863190	−	0.166366i
$327$	8.89751	−	4.58698i	0.492033	−	0.253661i
$328$	1.39884	−	1.21210i	0.0772379	−	0.0669271i
$329$	0.811789	−	6.38689i	0.0447554	−	0.352120i
$330$	−2.53269	−	0.743665i	−0.139420	−	0.0409374i
$331$	−0.308608	−	6.47848i	−0.0169626	−	0.356090i	−0.991353	−	0.131225i	$-0.958109\pi$
$331$	−0.308608	−	6.47848i	−0.0169626	−	0.356090i	0.974390	−	0.224865i	$-0.0721940\pi$
$332$	−1.73849	+	0.695985i	−0.0954118	+	0.0381971i
$333$	−1.00136	−	10.4867i	−0.0548740	−	0.574667i
$334$	−7.60787	+	5.41754i	−0.416284	+	0.296435i
$335$	36.4491	+	5.24059i	1.99143	+	0.286324i
$336$	−1.94446	−	1.79418i	−0.106079	−	0.0978805i
$337$	8.76376	−	29.8466i	0.477392	−	1.62585i	−0.270991	−	0.962582i	$-0.587351\pi$
$337$	8.76376	−	29.8466i	0.477392	−	1.62585i	0.748383	−	0.663267i	$-0.230831\pi$
$338$	−12.0192	−	4.81175i	−0.653757	−	0.261725i
$339$	−0.135286	+	0.390882i	−0.00734771	+	0.0212298i
$340$	0.791372	−	16.6129i	0.0429182	−	0.900963i
$341$	−1.08864	−	3.14542i	−0.0589532	−	0.170334i
$342$	6.13546	−	1.80153i	0.331768	−	0.0974158i
$343$	−17.2041	−	6.85705i	−0.928934	−	0.370246i
$344$		−	4.14564i		−	0.223518i
$345$	4.03686	−	16.6794i	0.217337	−	0.897989i
$346$	−8.73945	+	5.04572i	−0.469836	+	0.271260i
$347$	7.41560	−	10.4137i	0.398090	−	0.559039i	−0.566071	−	0.824356i	$-0.691537\pi$
$347$	7.41560	−	10.4137i	0.398090	−	0.559039i	0.964161	+	0.265317i	$0.0854767\pi$
$348$	5.41152	+	1.31282i	0.290088	+	0.0703746i
$349$	20.4821	+	17.7478i	1.09638	+	0.950018i	0.998977	−	0.0452270i	$-0.0144011\pi$
$349$	20.4821	+	17.7478i	1.09638	+	0.950018i	0.0974026	+	0.995245i	$0.468947\pi$
$350$	19.6206	+	6.43296i	1.04876	+	0.343856i
$351$	0.151369	+	0.174689i	0.00807950	+	0.00932424i
$352$	−0.274164	+	0.684830i	−0.0146130	+	0.0365015i
$353$	23.4318	−	5.68448i	1.24715	−	0.302554i	0.442749	−	0.896646i	$-0.354003\pi$
$353$	23.4318	−	5.68448i	1.24715	−	0.302554i	0.804398	+	0.594091i	$0.202488\pi$
$354$	1.89659	+	0.977758i	0.100802	+	0.0519673i
$355$	−30.2141	−	23.7607i	−1.60360	−	1.26108i
$356$	−4.15002	+	9.08728i	−0.219951	+	0.481625i
$357$	−7.89977	+	9.42430i	−0.418100	+	0.498787i
$358$	1.87637	−	13.0504i	0.0991692	−	0.689737i
$359$	21.7101	−	1.03418i	1.14582	−	0.0545819i	0.533931	−	0.845528i	$-0.320714\pi$
$359$	21.7101	−	1.03418i	1.14582	−	0.0545819i	0.611885	+	0.790946i	$0.290411\pi$
$360$	−0.843618	−	3.47744i	−0.0444626	−	0.183277i
$361$	−17.2062	+	13.5311i	−0.905592	+	0.712165i
$362$	−2.53745	+	0.489053i	−0.133365	+	0.0257041i
$363$	−5.65285	+	8.79601i	−0.296698	+	0.461671i
$364$	0.0390978	+	0.610307i	0.00204928	+	0.0319888i
$365$	12.6409	+	43.0511i	0.661657	+	2.25340i
$366$	0.691821	−	7.24508i	0.0361621	−	0.378706i
$367$	−12.1272	−	21.0049i	−0.633035	−	1.09645i	−0.986928	−	0.161162i	$-0.948476\pi$
$367$	−12.1272	−	21.0049i	−0.633035	−	1.09645i	0.353893	−	0.935286i	$-0.384858\pi$
$368$	−4.53291	−	1.56612i	−0.236294	−	0.0816396i
$369$	−1.60295	−	0.925464i	−0.0834463	−	0.0481777i
$370$	34.2888	−	15.6592i	1.78259	−	0.814082i
$371$	−8.18604	+	14.7305i	−0.424998	+	0.764771i
$372$	2.95483	−	3.41006i	0.153201	−	0.176803i
$373$	−14.1898	−	27.5243i	−0.734719	−	1.42516i	−0.898642	−	0.438682i	$-0.855445\pi$
$373$	−14.1898	−	27.5243i	−0.734719	−	1.42516i	0.163923	−	0.986473i	$-0.447585\pi$
$374$	3.24008	+	1.12140i	0.167541	+	0.0579863i
$375$	6.20300	+	7.88776i	0.320322	+	0.407322i
$376$	−1.67926	−	1.76116i	−0.0866014	−	0.0908250i
$377$	−0.695881	−	1.08281i	−0.0358397	−	0.0557677i
$378$	−1.05953	+	2.42433i	−0.0544963	+	0.124694i
$379$	27.4056	+	12.5157i	1.40773	+	0.642889i	0.967006	−	0.254753i	$-0.0819942\pi$
$379$	27.4056	+	12.5157i	1.40773	+	0.642889i	0.440725	+	0.897642i	$0.354721\pi$
$380$	13.2725	+	18.6387i	0.680867	+	0.956143i
$381$	−3.19780	−	7.98771i	−0.163828	−	0.409223i
$382$	−1.84643	+	3.58158i	−0.0944718	+	0.183250i
$383$	7.70029	−	7.34221i	0.393467	−	0.375170i	−0.467361	−	0.884067i	$-0.654795\pi$
$383$	7.70029	−	7.34221i	0.393467	−	0.375170i	0.860827	+	0.508897i	$0.169947\pi$
$384$	−0.989821	+	0.142315i	−0.0505116	+	0.00726247i
$385$	−3.95728	+	5.75437i	−0.201682	+	0.293270i
$386$	−18.1246	−	11.6480i	−0.922516	−	0.592865i
$387$	−3.91764	+	1.35591i	−0.199145	+	0.0689247i
$388$	−9.65923	−	9.21005i	−0.490373	−	0.467570i
$389$	17.1015	+	12.1779i	0.867082	+	0.617446i	0.924617	−	0.380897i	$-0.124385\pi$
$389$	17.1015	+	12.1779i	0.867082	+	0.617446i	−0.0575354	+	0.998343i	$0.518324\pi$
$390$	−0.413558	+	0.716304i	−0.0209413	+	0.0362715i
$391$	−6.26850	+	21.3912i	−0.317012	+	1.08180i
$392$	−6.11348	+	3.40960i	−0.308777	+	0.172211i
$393$	−1.01607	−	2.22489i	−0.0512540	−	0.112231i
$394$	2.83014	−	11.6660i	0.142580	−	0.587724i
$395$	5.77592	−	29.9683i	0.290618	−	1.50787i
$396$	0.736835	+	0.0350998i	0.0370274	+	0.00176383i
$397$	3.22661	+	16.7413i	0.161939	+	0.840220i	0.968490	+	0.249054i	$0.0801198\pi$
$397$	3.22661	+	16.7413i	0.161939	+	0.840220i	−0.806550	+	0.591165i	$0.798668\pi$
$398$	0.527653	+	3.66991i	0.0264489	+	0.183956i
$399$	0.528181	−	16.9100i	0.0264421	−	0.846557i
$400$	6.56539	−	4.21932i	0.328270	−	0.210966i
$401$	−13.3851	+	17.0205i	−0.668420	+	0.849965i	−0.995473	−	0.0950405i	$-0.969702\pi$
$401$	−13.3851	+	17.0205i	−0.668420	+	0.849965i	0.327053	+	0.945006i	$0.393944\pi$
$402$	−10.2443	+	0.978209i	−0.510938	+	0.0487886i
$403$	−1.03825	+	0.0991409i	−0.0517189	+	0.00493856i
$404$	5.28677	−	6.72267i	0.263026	−	0.334465i
$405$	−3.01027	+	1.93458i	−0.149581	+	0.0961300i
$406$	7.76116	−	12.5228i	0.385180	−	0.621497i
$407$	1.10592	+	7.69181i	0.0548182	+	0.381269i
$408$	0.879629	+	4.56395i	0.0435481	+	0.225949i
$409$	22.2806	+	1.06136i	1.10171	+	0.0524807i	0.590545	−	0.807005i	$-0.298913\pi$
$409$	22.2806	+	1.06136i	1.10171	+	0.0524807i	0.511160	+	0.859485i	$0.329216\pi$
$410$	1.25345	−	6.50350i	0.0619034	−	0.321185i
$411$	−4.50778	+	18.5813i	−0.222352	+	0.916548i
$412$	−3.41786	−	7.48408i	−0.168386	−	0.368714i
$413$	4.02148	−	3.96220i	0.197884	−	0.194967i
$414$	0.00258666	+	4.79583i	0.000127127	+	0.235702i
$415$	−3.35042	+	5.80309i	−0.164466	+	0.284863i
$416$	0.188287	+	0.134079i	0.00923153	+	0.00657374i
$417$	12.2260	+	11.6575i	0.598711	+	0.570870i
$418$	−4.45759	+	1.54279i	−0.218028	+	0.0754602i
$419$	−17.9266	−	11.5207i	−0.875770	−	0.562823i	0.0237429	−	0.999718i	$-0.492442\pi$
$419$	−17.9266	−	11.5207i	−0.875770	−	0.562823i	−0.899512	+	0.436895i	$0.856078\pi$
$420$	−9.43792	−	0.745485i	−0.460523	−	0.0363760i
$421$	−1.41642	+	0.203651i	−0.0690323	+	0.00992534i	−0.176744	−	0.984257i	$-0.556557\pi$
$421$	−1.41642	+	0.203651i	−0.0690323	+	0.00992534i	0.107712	+	0.994182i	$0.465648\pi$
$422$	5.32687	−	5.07916i	0.259308	−	0.247250i
$423$	−1.11507	+	2.16293i	−0.0542163	+	0.105165i
$424$	2.36733	+	5.91330i	0.114968	+	0.287175i
$425$	−21.0409	−	29.5479i	−1.02064	−	1.43328i
$426$	9.77116	+	4.46234i	0.473414	+	0.216201i
$427$	−17.6444	−	7.71129i	−0.853872	−	0.373176i
$428$	−2.48663	−	3.86928i	−0.120196	−	0.187029i
$429$	−0.117666	−	0.123404i	−0.00568096	−	0.00595802i
$430$	−9.17002	−	11.6606i	−0.442217	−	0.562325i
$431$	7.45324	+	2.57959i	0.359010	+	0.124255i	0.500618	−	0.865668i	$-0.333106\pi$
$431$	7.45324	+	2.57959i	0.359010	+	0.124255i	−0.141608	+	0.989923i	$0.545227\pi$
$432$	0.458227	+	0.888835i	0.0220464	+	0.0427641i
$433$	8.21124	−	9.47628i	0.394607	−	0.455401i	−0.523328	−	0.852131i	$-0.675310\pi$
$433$	8.21124	−	9.47628i	0.394607	−	0.455401i	0.917935	+	0.396730i	$0.129855\pi$
$434$	−6.13751	−	10.2395i	−0.294610	−	0.491513i
$435$	18.1251	−	8.27747i	0.869033	−	0.396874i
$436$	−8.66917	−	5.00515i	−0.415178	−	0.239703i
$437$	−11.4131	−	28.4640i	−0.545961	−	1.36162i
$438$	−6.26953	−	10.8591i	−0.299570	−	0.518870i
$439$	1.60668	−	16.8259i	0.0766825	−	0.803056i	−0.872559	−	0.488508i	$-0.837541\pi$
$439$	1.60668	−	16.8259i	0.0766825	−	0.803056i	0.949242	−	0.314547i	$-0.101853\pi$
$440$	0.743665	+	2.53269i	0.0354528	+	0.120741i
$441$	5.22160	+	4.66208i	0.248647	+	0.222004i
$442$	0.580843	−	0.903809i	0.0276279	−	0.0429898i
$443$	−31.5746	+	6.08551i	−1.50016	+	0.289131i	−0.872212	−	0.489128i	$-0.837315\pi$
$443$	−31.5746	+	6.08551i	−1.50016	+	0.289131i	−0.627943	+	0.778259i	$0.716103\pi$
$444$	−8.28059	+	6.51192i	−0.392979	+	0.309042i
$445$	8.42780	+	34.7399i	0.399516	+	1.64683i
$446$	−13.2741	+	0.632322i	−0.628545	+	0.0299413i
$447$	0.955023	−	6.64233i	0.0451710	−	0.314171i
$448$	−0.458105	+	2.60579i	−0.0216434	+	0.123112i
$449$	−6.59761	+	14.4468i	−0.311361	+	0.681785i	−0.999021	−	0.0442482i	$-0.985911\pi$
$449$	−6.59761	+	14.4468i	−0.311361	+	0.681785i	0.687660	+	0.726033i	$0.258638\pi$
$450$	−6.13459	−	4.82430i	−0.289187	−	0.227419i
$451$	1.21359	+	0.625651i	0.0571459	+	0.0294608i
$452$	0.401972	−	0.0975174i	0.0189072	−	0.00458683i
$453$	0.320530	−	0.800645i	0.0150598	−	0.0376176i
$454$	−11.6336	−	13.4259i	−0.545994	−	0.630110i
$455$	1.45995	+	1.63015i	0.0684435	+	0.0764228i
$456$	−4.83263	−	4.18750i	−0.226309	−	0.196097i
$457$	1.63083	+	0.395634i	0.0762869	+	0.0185070i	0.273721	−	0.961809i	$-0.411746\pi$
$457$	1.63083	+	0.395634i	0.0762869	+	0.0185070i	−0.197434	+	0.980316i	$0.563261\pi$
$458$	3.69595	−	5.19024i	0.172701	−	0.242524i
$459$	4.02524	−	2.32397i	0.187882	−	0.108474i
$460$	−16.2141	+	5.62155i	−0.755986	+	0.262106i
$461$		−	5.59725i		−	0.260690i	−0.991469	−	0.130345i	$-0.958391\pi$
$461$		−	5.59725i		−	0.260690i	0.991469	−	0.130345i	$-0.0416085\pi$
$462$	0.695605	−	1.82352i	0.0323625	−	0.0848380i
$463$	−30.6119	+	8.98846i	−1.42265	+	0.417729i	−0.900401	−	0.435061i	$-0.856727\pi$
$463$	−30.6119	+	8.98846i	−1.42265	+	0.417729i	−0.522254	+	0.852790i	$0.674909\pi$
$464$	−1.82127	−	5.26223i	−0.0845505	−	0.244293i
$465$	0.768252	−	16.1276i	0.0356268	−	0.747900i
$466$	9.85204	−	28.4656i	0.456387	−	1.31864i
$467$	2.53938	+	1.01661i	0.117508	+	0.0470432i	0.429672	−	0.902985i	$-0.358629\pi$
$467$	2.53938	+	1.01661i	0.117508	+	0.0470432i	−0.312163	+	0.950028i	$0.601054\pi$
$468$	0.0651217	−	0.221784i	0.00301025	−	0.0102520i
$469$	−5.98490	+	26.5611i	−0.276357	+	1.22648i
$470$	−8.61896	−	1.23922i	−0.397563	−	0.0571609i
$471$	17.7429	−	12.6347i	0.817550	−	0.582175i
$472$	−0.202829	−	2.12413i	−0.00933598	−	0.0977708i
$473$	2.83906	−	1.13659i	0.130540	−	0.0522604i
$474$	0.405832	+	8.51947i	0.0186405	+	0.391312i
$475$	47.8830	+	14.0597i	2.19702	+	0.645103i
$476$	12.1992	+	1.55054i	0.559148	+	0.0710690i
$477$	4.81380	−	4.17118i	0.220409	−	0.190985i
$478$	20.3582	−	10.4954i	0.931164	−	0.480048i
$479$	19.1870	+	3.69799i	0.876677	+	0.168966i	0.607686	−	0.794177i	$-0.292098\pi$
$479$	19.1870	+	3.69799i	0.876677	+	0.168966i	0.268991	+	0.963143i	$0.413310\pi$
$480$	−2.46932	+	2.58974i	−0.112708	+	0.118205i
$481$	2.42397	+	0.231461i	0.110523	+	0.0105537i
$482$	6.11754			0.278646
$483$	12.0592	+	3.94663i	0.548712	+	0.179578i
$484$	10.4558			0.475266
$485$	−47.5412	−	4.53963i	−2.15873	−	0.206134i
$486$	0.690079	−	0.723734i	0.0313026	−	0.0328292i
$487$	31.4601	+	6.06343i	1.42559	+	0.274760i	0.842960	−	0.537976i	$-0.180811\pi$
$487$	31.4601	+	6.06343i	1.42559	+	0.274760i	0.582632	+	0.812736i	$0.302023\pi$
$488$	−6.46898	+	3.33499i	−0.292837	+	0.150968i
$489$	11.9954	−	10.3940i	0.542449	−	0.470034i
$490$	−9.65373	+	23.1131i	−0.436111	+	1.04414i
$491$	3.63143	+	1.06628i	0.163884	+	0.0481208i	0.362645	−	0.931927i	$-0.381874\pi$
$491$	3.63143	+	1.06628i	0.163884	+	0.0481208i	−0.198761	+	0.980048i	$0.563692\pi$
$492$	0.0880707	+	1.84883i	0.00397054	+	0.0833518i
$493$	−24.0281	+	9.61938i	−1.08217	+	0.433235i
$494$	0.140499	+	1.47137i	0.00632136	+	0.0662003i
$495$	2.15017	−	1.53113i	0.0966428	−	0.0688190i
$496$	−4.46623	−	0.642147i	−0.200540	−	0.0288332i
$497$	19.2729	−	20.8872i	0.864506	−	0.936917i
$498$	0.527580	−	1.79677i	0.0236414	−	0.0805153i
$499$	19.9911	+	8.00323i	0.894924	+	0.358274i	0.773105	−	0.634279i	$-0.218703\pi$
$499$	19.9911	+	8.00323i	0.894924	+	0.358274i	0.121820	+	0.992552i	$0.461127\pi$
$500$	3.28201	−	9.48274i	0.146776	−	0.424081i
$501$	0.444399	−	9.32909i	0.0198543	−	0.416793i
$502$	2.95111	+	8.52668i	0.131715	+	0.380564i
$503$	−16.4300	+	4.82427i	−0.732575	+	0.215104i	−0.626683	−	0.779274i	$-0.715588\pi$
$503$	−16.4300	+	4.82427i	−0.732575	+	0.215104i	−0.105892	+	0.994378i	$0.533770\pi$
$504$	2.61230	−	0.419361i	0.116361	−	0.0186798i
$505$		−	30.6033i		−	1.36183i
$506$	−0.170239	−	3.53365i	−0.00756803	−	0.157090i
$507$	11.2121	−	6.47329i	0.497945	−	0.287489i
$508$	−4.99083	+	7.00864i	−0.221432	+	0.310958i
$509$	29.2744	+	7.10188i	1.29756	+	0.314785i	0.824309	−	0.566140i	$-0.191564\pi$
$509$	29.2744	+	7.10188i	1.29756	+	0.314785i	0.473254	+	0.880926i	$0.343079\pi$
$510$	12.5695	+	10.8915i	0.556585	+	0.482284i
$511$	−32.4685	+	6.81102i	−1.43632	+	0.301302i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	−2.37659	+	5.93643i	−0.104929	+	0.262100i
$514$	−6.03771	+	1.46473i	−0.266312	+	0.0646066i
$515$	−26.1681	−	13.4906i	−1.15310	−	0.594466i
$516$	3.25870	+	2.56267i	0.143456	+	0.112815i
$517$	0.745701	−	1.63286i	0.0327959	−	0.0718130i
$518$	9.54588	+	26.1857i	0.419422	+	1.15053i
$519$	1.43616	−	9.98873i	0.0630406	−	0.438457i
$520$	0.826180	−	0.0393558i	0.0362304	−	0.00172587i
$521$	5.77626	+	23.8101i	0.253063	+	1.04314i	0.946521	+	0.322642i	$0.104571\pi$
$521$	5.77626	+	23.8101i	0.253063	+	1.04314i	−0.693458	+	0.720497i	$0.743914\pi$
$522$	−4.37713	+	3.44221i	−0.191582	+	0.150662i
$523$	10.8826	−	2.09745i	0.475862	−	0.0917150i	0.0543199	−	0.998524i	$-0.482701\pi$
$523$	10.8826	−	2.09745i	0.475862	−	0.0917150i	0.421543	+	0.906809i	$0.361489\pi$
$524$	−1.32236	+	2.05764i	−0.0577677	+	0.0898883i
$525$	−17.1853	+	11.4462i	−0.750027	+	0.499553i
$526$	2.59832	+	8.84907i	0.113292	+	0.385838i
$527$	−1.99354	+	20.8773i	−0.0868399	+	0.909429i
$528$	−0.368835	−	0.638841i	−0.0160515	−	0.0278020i
$529$	22.8935	−	2.21099i	0.995369	−	0.0961298i
$530$	19.7387	+	11.3961i	0.857394	+	0.495017i
$531$	−1.94096	+	0.886407i	−0.0842305	+	0.0384668i
$532$	−14.5111	+	8.69788i	−0.629137	+	0.377101i
$533$	0.280174	−	0.323338i	0.0121357	−	0.0140053i
$534$	−4.57771	−	8.87952i	−0.198097	−	0.384255i
$535$	−15.5530	−	5.38293i	−0.672413	−	0.232724i
$536$	6.36139	+	8.08916i	0.274770	+	0.349399i
$537$	9.09844	+	9.54217i	0.392627	+	0.411775i
$538$	8.76218	+	13.6342i	0.377765	+	0.587813i
$539$	−4.01109	−	3.25190i	−0.172770	−	0.140069i
$540$	3.25494	+	1.48648i	0.140071	+	0.0639681i
$541$	−11.5541	−	16.2255i	−0.496750	−	0.697587i	0.487748	−	0.872984i	$-0.337818\pi$
$541$	−11.5541	−	16.2255i	−0.496750	−	0.697587i	−0.984498	+	0.175397i	$0.943879\pi$
$542$	4.42192	+	11.0454i	0.189938	+	0.474441i
$543$	1.18412	−	2.29688i	0.0508157	−	0.0985686i
$544$	3.36388	−	3.20745i	0.144225	−	0.137518i
$545$	−35.4553	+	5.09771i	−1.51874	+	0.218362i
$546$	−0.503903	−	0.346534i	−0.0215650	−	0.0148303i
$547$	−16.8307	−	10.8164i	−0.719629	−	0.462477i	0.128879	−	0.991660i	$-0.458862\pi$
$547$	−16.8307	−	10.8164i	−0.719629	−	0.462477i	−0.848508	+	0.529183i	$0.822498\pi$
$548$	18.0687	−	6.25363i	0.771856	−	0.267142i
$549$	5.26736	+	5.02242i	0.224806	+	0.214352i
$550$	4.68951	+	3.33939i	0.199962	+	0.142392i
$551$	17.8038	−	30.8371i	0.758468	−	1.31370i
$552$	4.03311	−	2.59500i	0.171661	−	0.110450i
$553$	21.7531	+	6.00217i	0.925034	+	0.255238i
$554$	13.7353	+	30.0760i	0.583555	+	1.27781i
$555$	−8.88700	+	36.6327i	−0.377232	+	1.55497i
$556$	3.19702	−	16.5877i	0.135584	−	0.703475i
$557$	−25.6811	−	1.22334i	−1.08814	−	0.0518346i	−0.504167	−	0.863606i	$-0.668200\pi$
$557$	−25.6811	−	1.22334i	−1.08814	−	0.0518346i	−0.583975	+	0.811771i	$0.698503\pi$
$558$	0.853931	+	4.43062i	0.0361498	+	0.187563i
$559$	−0.136374	−	0.948501i	−0.00576800	−	0.0401173i
$560$	4.47538	+	8.34272i	0.189119	+	0.352544i
$561$	−2.88437	+	1.85367i	−0.121778	+	0.0782620i
$562$	−18.3461	+	23.3289i	−0.773882	+	0.984071i
$563$	9.59167	−	0.915894i	0.404241	−	0.0386003i	0.109044	−	0.994037i	$-0.465221\pi$
$563$	9.59167	−	0.915894i	0.404241	−	0.0386003i	0.295196	+	0.955437i	$0.404615\pi$
$564$	2.42242	−	0.231313i	0.102002	−	0.00974003i
$565$	0.914939	−	1.16344i	0.0384918	−	0.0489463i
$566$	−1.15075	+	0.739540i	−0.0483695	+	0.0310852i
$567$	−1.25070	−	2.33147i	−0.0525244	−	0.0979126i
$568$	−1.52873	−	10.6325i	−0.0641441	−	0.446132i
$569$	−5.62766	−	29.1991i	−0.235924	−	1.22409i	−0.885806	−	0.464055i	$-0.846394\pi$
$569$	−5.62766	−	29.1991i	−0.235924	−	1.22409i	0.649882	−	0.760035i	$-0.274818\pi$
$570$	−22.8555	−	1.08874i	−0.957312	−	0.0456024i
$571$	−3.07238	+	15.9410i	−0.128575	+	0.667111i	0.859252	+	0.511553i	$0.170930\pi$
$571$	−3.07238	+	15.9410i	−0.128575	+	0.667111i	−0.987827	+	0.155558i	$0.950282\pi$
$572$	−0.0401994	+	0.165704i	−0.00168082	+	0.00692844i
$573$	−1.67392	−	3.66538i	−0.0699292	−	0.153124i
$574$	4.72069	+	1.30255i	0.197038	+	0.0543673i
$575$	−20.2182	+	31.4974i	−0.843156	+	1.31353i
$576$	0.500000	−	0.866025i	0.0208333	−	0.0360844i
$577$	22.0997	+	15.7371i	0.920023	+	0.655146i	0.938720	−	0.344680i	$-0.112012\pi$
$577$	22.0997	+	15.7371i	0.920023	+	0.655146i	−0.0186971	+	0.999825i	$0.505952\pi$
$578$	−3.33163	−	3.17671i	−0.138578	−	0.132134i
$579$	20.3598	−	7.04659i	0.846123	−	0.292846i
$580$	−16.7626	−	10.7727i	−0.696030	−	0.447312i
$581$	−4.08234	−	2.80743i	−0.169364	−	0.116472i
$582$	13.2105	−	1.89939i	0.547594	−	0.0787321i
$583$	−3.40057	+	3.24244i	−0.140837	+	0.134288i
$584$	−5.74573	+	11.1452i	−0.237760	+	0.461190i
$585$	−0.307408	−	0.767868i	−0.0127098	−	0.0317475i
$586$	−6.16637	−	8.65945i	−0.254730	−	0.357719i
$587$	−19.8769	−	9.07747i	−0.820407	−	0.374667i	−0.0394263	−	0.999222i	$-0.512553\pi$
$587$	−19.8769	−	9.07747i	−0.820407	−	0.374667i	−0.780981	+	0.624555i	$0.785280\pi$
$588$	1.09898	−	6.91319i	0.0453212	−	0.285095i
$589$	−15.5991	−	24.2726i	−0.642748	−	1.00014i
$590$	−5.26900	−	5.52596i	−0.216921	−	0.227500i
$591$	7.42061	+	9.43607i	0.305243	+	0.388148i
$592$	9.95500	+	3.44546i	0.409148	+	0.141608i
$593$	14.6758	+	28.4670i	0.602661	+	1.16900i	0.970949	+	0.239288i	$0.0769140\pi$
$593$	14.6758	+	28.4670i	0.602661	+	1.16900i	−0.368287	+	0.929712i	$0.620056\pi$
$594$	−0.483072	+	0.557494i	−0.0198207	+	0.0228743i
$595$	37.7428	−	22.6228i	1.54731	−	0.927446i
$596$	−6.10421	+	2.78770i	−0.250038	+	0.114189i
$597$	−3.21092	−	1.85382i	−0.131414	−	0.0758720i
$598$	−1.08862	−	0.209206i	−0.0445171	−	0.00855508i
$599$	17.7619	+	30.7645i	0.725732	+	1.25700i	0.958672	+	0.284513i	$0.0918320\pi$
$599$	17.7619	+	30.7645i	0.725732	+	1.25700i	−0.232940	+	0.972491i	$0.574835\pi$
$600$	−0.741845	+	7.76896i	−0.0302857	+	0.317166i
$601$	4.57917	+	15.5952i	0.186788	+	0.636142i	0.998633	+	0.0522687i	$0.0166452\pi$
$601$	4.57917	+	15.5952i	0.186788	+	0.636142i	−0.811845	+	0.583873i	$0.801537\pi$
$602$	9.12882	−	6.08023i	0.372063	−	0.247812i
$603$	5.56366	−	8.65723i	0.226570	−	0.352549i
$604$	−0.846837	+	0.163214i	−0.0344573	+	0.00664110i
$605$	29.4096	−	23.1279i	1.19567	−	0.940285i
$606$	2.01631	+	8.31136i	0.0819071	+	0.337626i
$607$	−18.2806	+	0.870812i	−0.741987	+	0.0353452i	−0.415172	−	0.909743i	$-0.636278\pi$
$607$	−18.2806	+	0.870812i	−0.741987	+	0.0353452i	−0.326815	+	0.945088i	$0.605975\pi$
$608$	−0.910030	+	6.32940i	−0.0369066	+	0.256691i
$609$	5.04597	+	13.8418i	0.204473	+	0.560897i
$610$	−10.8187	+	23.6896i	−0.438035	+	0.959164i
$611$	−0.442141	−	0.347704i	−0.0178871	−	0.0140666i
$612$	−4.13126	−	2.12981i	−0.166996	−	0.0860925i
$613$	18.3990	−	4.46356i	0.743130	−	0.180281i	0.153719	−	0.988115i	$-0.450875\pi$
$613$	18.3990	−	4.46356i	0.743130	−	0.180281i	0.589411	+	0.807833i	$0.299360\pi$
$614$	−12.8299	+	32.0476i	−0.517773	+	1.29334i
$615$	4.33727	+	5.00548i	0.174896	+	0.201840i
$616$	−1.91012	+	0.400691i	−0.0769609	+	0.0161443i
$617$	−2.68399	−	2.32569i	−0.108053	−	0.0936288i	0.599159	−	0.800630i	$-0.295502\pi$
$617$	−2.68399	−	2.32569i	−0.108053	−	0.0936288i	−0.707212	+	0.707002i	$0.750047\pi$
$618$	7.99566	+	1.93973i	0.321633	+	0.0780273i
$619$	26.9835	−	37.8930i	1.08456	−	1.52305i	0.253117	−	0.967436i	$-0.418544\pi$
$619$	26.9835	−	37.8930i	1.08456	−	1.52305i	0.831441	−	0.555613i	$-0.187516\pi$
$620$	−13.9827	+	8.07294i	−0.561561	+	0.324217i
$621$	−3.77138	−	2.96255i	−0.151340	−	0.118883i
$622$			26.2850i			1.05393i
$623$	−26.0971	+	4.18944i	−1.04556	+	0.167846i
$624$	−0.221784	+	0.0651217i	−0.00887847	+	0.00260696i
$625$	1.01864	+	2.94316i	0.0407455	+	0.117726i
$626$	−1.41936	+	29.7960i	−0.0567289	+	1.19089i
$627$	1.54279	−	4.45759i	0.0616130	−	0.178019i
$628$	−20.2215	−	8.09547i	−0.806926	−	0.323044i
$629$	13.7945	−	46.9799i	0.550024	−	1.87321i
$630$	6.42013	−	6.95788i	0.255784	−	0.277208i
$631$	−8.45444	−	1.21556i	−0.336566	−	0.0483909i	−0.0280399	−	0.999607i	$-0.508927\pi$
$631$	−8.45444	−	1.21556i	−0.336566	−	0.0483909i	−0.308526	+	0.951216i	$0.599836\pi$
$632$	6.94762	−	4.94738i	0.276362	−	0.196796i
$633$	0.699637	+	7.32693i	0.0278081	+	0.291219i
$634$	−5.51599	+	2.20827i	−0.219068	+	0.0877016i
$635$	1.46495	+	30.7530i	0.0581346	+	1.22040i
$636$	−6.11156	−	1.79451i	−0.242339	−	0.0711571i
$637$	−1.28657	+	0.981204i	−0.0509758	+	0.0388767i
$638$	3.10440	−	2.68998i	0.122904	−	0.106497i
$639$	−9.54777	+	4.92222i	−0.377704	+	0.194720i
$640$	3.51364	+	0.677199i	0.138889	+	0.0267687i
$641$	19.5691	−	20.5235i	0.772933	−	0.810629i	−0.213126	−	0.977025i	$-0.568364\pi$
$641$	19.5691	−	20.5235i	0.772933	−	0.810629i	0.986059	+	0.166396i	$0.0532129\pi$
$642$	4.57859	+	0.437202i	0.180703	+	0.0172550i
$643$	21.4619			0.846376			0.423188	−	0.906042i	$-0.360911\pi$
$643$	21.4619			0.846376			0.423188	+	0.906042i	$0.360911\pi$
$644$	−3.19958	−	12.2785i	−0.126081	−	0.483843i
$645$	14.8344			0.584104
$646$	29.5866	+	2.82518i	1.16407	+	0.111155i
$647$	−16.6441	+	17.4558i	−0.654346	+	0.686258i	−0.964396	−	0.264462i	$-0.914806\pi$
$647$	−16.6441	+	17.4558i	−0.654346	+	0.686258i	0.310050	+	0.950720i	$0.399654\pi$
$648$	−0.981929	−	0.189251i	−0.0385738	−	0.00743449i
$649$	1.39906	−	0.721263i	0.0549177	−	0.0283121i
$650$	1.36333	−	1.18133i	0.0534741	−	0.0463356i
$651$	11.8428	+	1.50524i	0.464155	+	0.0589952i
$652$	−15.2292	−	4.47169i	−0.596421	−	0.175125i
$653$	1.55263	+	32.5936i	0.0607590	+	1.27549i	0.799157	+	0.601122i	$0.205280\pi$
$653$	1.55263	+	32.5936i	0.0607590	+	1.27549i	−0.738398	+	0.674365i	$0.764417\pi$
$654$	9.29324	−	3.72045i	0.363394	−	0.145481i
$655$	0.831954	+	8.71262i	0.0325071	+	0.340430i
$656$	1.50772	−	1.07364i	0.0588667	−	0.0419188i
$657$	12.4114	+	1.78449i	0.484216	+	0.0696197i
$658$	1.41523	−	6.28080i	0.0551712	−	0.244851i
$659$	−6.49125	+	22.1072i	−0.252863	+	0.861174i	0.731019	+	0.682357i	$0.239045\pi$
$659$	−6.49125	+	22.1072i	−0.252863	+	0.861174i	−0.983882	+	0.178817i	$0.942773\pi$
$660$	−2.45053	−	0.981045i	−0.0953868	−	0.0381871i
$661$	16.4010	−	47.3876i	0.637925	−	1.84316i	0.109884	−	0.993944i	$-0.464952\pi$
$661$	16.4010	−	47.3876i	0.637925	−	1.84316i	0.528041	−	0.849219i	$-0.322927\pi$
$662$	0.308608	−	6.47848i	0.0119944	−	0.251793i
$663$	0.351389	+	1.01527i	0.0136468	+	0.0394299i
$664$	−1.79677	+	0.527580i	−0.0697283	+	0.0204741i
$665$	−21.5766	+	56.5630i	−0.836706	+	2.19342i
$666$		−	10.5344i		−	0.408199i
$667$	18.4394	+	19.3178i	0.713975	+	0.747987i
$668$	−8.08839	+	4.66984i	−0.312949	+	0.180681i
$669$	7.70845	−	10.8250i	0.298026	−	0.418519i
$670$	35.7859	+	8.68156i	1.38253	+	0.335398i
$671$	−4.05746	−	3.51581i	−0.156637	−	0.135726i
$672$	−1.76511	−	1.97089i	−0.0680905	−	0.0760286i
$673$	23.2819	+	26.8688i	0.897452	+	1.03571i	0.999163	+	0.0409009i	$0.0130228\pi$
$673$	23.2819	+	26.8688i	0.897452	+	1.03571i	−0.101711	+	0.994814i	$0.532432\pi$
$674$	11.5612	−	28.8784i	0.445320	−	1.11236i
$675$	7.58430	−	1.83993i	0.291920	−	0.0708190i
$676$	−11.5074	−	5.93246i	−0.442591	−	0.228172i
$677$	−4.42359	−	3.47875i	−0.170012	−	0.133699i	0.529528	−	0.848293i	$-0.322369\pi$
$677$	−4.42359	−	3.47875i	−0.170012	−	0.133699i	−0.699540	+	0.714594i	$0.746612\pi$
$678$	−0.171829	+	0.376253i	−0.00659905	+	0.0144499i
$679$	6.11404	−	34.7778i	0.234635	−	1.33465i
$680$	2.36695	−	16.4625i	0.0907684	−	0.631308i
$681$	17.7449	−	0.845295i	0.679987	−	0.0323918i
$682$	−0.784720	−	3.23466i	−0.0300485	−	0.123862i
$683$	−7.58078	+	5.96159i	−0.290070	+	0.228114i	−0.752581	−	0.658500i	$-0.771191\pi$
$683$	−7.58078	+	5.96159i	−0.290070	+	0.228114i	0.462510	+	0.886614i	$0.346949\pi$
$684$	6.27893	−	1.21016i	0.240081	−	0.0462718i
$685$	36.9897	−	57.5571i	1.41330	−	2.19914i
$686$	−16.4744	−	8.46135i	−0.628995	−	0.323056i
$687$	1.79512	+	6.11361i	0.0684880	+	0.233249i
$688$	0.394069	−	4.12687i	0.0150237	−	0.157336i
$689$	0.736154	+	1.27506i	0.0280452	+	0.0485758i
$690$	5.60405	−	16.2202i	0.213343	−	0.617491i
$691$	−17.9849	−	10.3836i	−0.684179	−	0.395011i	0.117249	−	0.993103i	$-0.462593\pi$
$691$	−17.9849	−	10.3836i	−0.684179	−	0.395011i	−0.801428	+	0.598092i	$0.795926\pi$
$692$	−9.17951	+	4.19214i	−0.348952	+	0.159361i
$693$	1.00339	+	1.67401i	0.0381157	+	0.0635904i
$694$	8.37191	−	9.66170i	0.317793	−	0.366753i
$695$	−27.6990	−	53.7286i	−1.05068	−	2.03804i
$696$	5.26223	+	1.82127i	0.199464	+	0.0690352i
$697$	−5.31803	−	6.76243i	−0.201435	−	0.256145i
$698$	18.7023	+	19.6144i	0.707892	+	0.742415i
$699$	16.2853	+	25.3405i	0.615968	+	0.958465i
$700$	18.9202	+	8.26888i	0.715117	+	0.312534i
$701$	−45.7590	−	20.8974i	−1.72829	−	0.789285i	−0.993865	−	0.110598i	$-0.964723\pi$
$701$	−45.7590	−	20.8974i	−1.72829	−	0.789285i	−0.734428	−	0.678687i	$-0.762549\pi$
$702$	0.134079	+	0.188287i	0.00506047	+	0.00710644i
$703$	25.0359	+	62.5367i	0.944247	+	2.35861i
$704$	−0.338020	+	0.655668i	−0.0127396	+	0.0247114i
$705$	6.30198	−	6.00893i	0.237346	−	0.226309i
$706$	23.8660	−	3.43141i	0.898209	−	0.129143i
$707$	22.5574	+	1.78177i	0.848357	+	0.0670103i
$708$	1.79506	+	1.15361i	0.0674623	+	0.0433554i
$709$	19.0467	−	6.59211i	0.715312	−	0.247572i	0.0549178	−	0.998491i	$-0.482510\pi$
$709$	19.0467	−	6.59211i	0.715312	−	0.247572i	0.660394	+	0.750919i	$0.270389\pi$
$710$	−27.8187	−	26.5251i	−1.04402	−	0.995470i
$711$	−6.94762	−	4.94738i	−0.260556	−	0.185541i
$712$	−4.99503	+	8.65165i	−0.187197	+	0.324234i
$713$	20.7597	−	6.10776i	0.777457	−	0.228737i
$714$	−8.75983	+	8.63071i	−0.327828	+	0.322996i
$715$	0.253461	+	0.555002i	0.00947891	+	0.0207559i
$716$	3.10840	−	12.8130i	0.116166	−	0.478844i
$717$	−4.33468	+	22.4905i	−0.161882	+	0.839922i
$718$	21.7101	+	1.03418i	0.810214	+	0.0385953i
$719$	1.64265	+	8.52287i	0.0612605	+	0.317850i	0.999613	−	0.0278313i	$-0.00886011\pi$
$719$	1.64265	+	8.52287i	0.0612605	+	0.317850i	−0.938352	+	0.345681i	$0.887648\pi$
$720$	−0.509246	−	3.54189i	−0.0189785	−	0.131998i
$721$	11.4673	−	18.5028i	0.427065	−	0.689080i
$722$	−18.4145	+	11.8343i	−0.685318	+	0.440427i
$723$	−3.78161	+	4.80871i	−0.140640	+	0.178838i
$724$	−2.57245	+	0.245639i	−0.0956042	+	0.00912909i
$725$	−43.2614	+	4.13096i	−1.60669	+	0.153420i
$726$	−6.46337	+	8.21885i	−0.239878	+	0.305030i
$727$	−10.4722	+	6.73005i	−0.388391	+	0.249604i	−0.720234	−	0.693731i	$-0.755966\pi$
$727$	−10.4722	+	6.73005i	−0.388391	+	0.249604i	0.331844	+	0.943334i	$0.392329\pi$
$728$	−0.0190927	+	0.611260i	−0.000707621	+	0.0226548i
$729$	0.142315	+	0.989821i	0.00527092	+	0.0366601i
$730$	8.49144	+	44.0578i	0.314282	+	1.63065i
$731$	−19.2469	−	0.916843i	−0.711872	−	0.0339107i
$732$	1.37738	−	7.14651i	0.0509093	−	0.264143i
$733$	0.755571	−	3.11451i	0.0279077	−	0.115037i	−0.956154	−	0.292864i	$-0.905392\pi$
$733$	0.755571	−	3.11451i	0.0279077	−	0.115037i	0.984062	+	0.177827i	$0.0569068\pi$
$734$	−10.0756	−	22.0626i	−0.371899	−	0.814344i
$735$	−12.2006	−	21.8759i	−0.450026	−	0.806906i
$736$	−4.36352	−	1.98991i	−0.160841	−	0.0733490i
$737$	−3.79563	+	6.57423i	−0.139814	+	0.242165i
$738$	−1.50772	−	1.07364i	−0.0555000	−	0.0395214i
$739$	−4.87709	−	4.65030i	−0.179407	−	0.171064i	0.595054	−	0.803685i	$-0.297130\pi$
$739$	−4.87709	−	4.65030i	−0.179407	−	0.171064i	−0.774461	+	0.632621i	$0.781979\pi$
$740$	35.6221	−	12.3289i	1.30949	−	0.453220i
$741$	−1.24343	−	0.799104i	−0.0456785	−	0.0293558i
$742$	−9.54920	+	13.8857i	−0.350562	+	0.509760i
$743$	43.6768	−	6.27978i	1.60235	−	0.230383i	0.717601	−	0.696454i	$-0.245240\pi$
$743$	43.6768	−	6.27978i	1.60235	−	0.230383i	0.884747	+	0.466071i	$0.154331\pi$
$744$	3.26560	−	3.11374i	0.119723	−	0.114155i
$745$	−11.0033	+	21.3434i	−0.403129	+	0.781960i
$746$	−11.5092	−	28.7485i	−0.421381	−	1.05256i
$747$	1.08623	+	1.52540i	0.0397431	+	0.0558113i
$748$	3.11881	+	1.42431i	0.114035	+	0.0520781i
$749$	4.87322	−	11.1505i	0.178064	−	0.407431i
$750$	5.42513	+	8.44167i	0.198098	+	0.308246i
$751$	−22.9517	−	24.0710i	−0.837519	−	0.878364i	0.156488	−	0.987680i	$-0.449983\pi$
$751$	−22.9517	−	24.0710i	−0.837519	−	0.878364i	−0.994007	+	0.109315i	$0.965134\pi$
$752$	−1.50425	−	1.91281i	−0.0548544	−	0.0697530i
$753$	−8.52668	−	2.95111i	−0.310730	−	0.107545i
$754$	−0.589802	−	1.14406i	−0.0214793	−	0.0416641i
$755$	−2.02091	+	2.33225i	−0.0735484	+	0.0848794i
$756$	−1.28518	+	2.31264i	−0.0467415	+	0.0841100i
$757$	−20.9447	+	9.56513i	−0.761249	+	0.347651i	−0.757923	−	0.652344i	$-0.773786\pi$
$757$	−20.9447	+	9.56513i	−0.761249	+	0.347651i	−0.00332557	+	0.999994i	$0.501059\pi$
$758$	26.0918	+	15.0641i	0.947697	+	0.547153i
$759$	2.88287	+	2.05054i	0.104641	+	0.0744298i
$760$	11.4407	+	19.8159i	0.414998	+	0.718798i
$761$	0.378013	−	3.95873i	0.0137030	−	0.143504i	−0.986031	−	0.166561i	$-0.946734\pi$
$761$	0.378013	−	3.95873i	0.0137030	−	0.143504i	0.999734	+	0.0230568i	$0.00733986\pi$
$762$	−2.42404	−	8.25551i	−0.0878136	−	0.299066i
$763$	−1.69321	−	26.4306i	−0.0612982	−	0.956851i
$764$	−2.17852	+	3.38985i	−0.0788162	+	0.122640i
$765$	−16.3312	+	3.14759i	−0.590457	+	0.113801i
$766$	8.36335	−	6.57701i	0.302180	−	0.237637i
$767$	−0.116281	−	0.479316i	−0.00419866	−	0.0173071i
$768$	−0.998867	+	0.0475819i	−0.0360435	+	0.00171696i
$769$	−3.38045	+	23.5115i	−0.121902	+	0.847847i	0.833496	+	0.552525i	$0.186336\pi$
$769$	−3.38045	+	23.5115i	−0.121902	+	0.847847i	−0.955398	+	0.295321i	$0.904573\pi$
$770$	−4.48635	+	5.35215i	−0.161677	+	0.192878i
$771$	2.58091	−	5.65140i	0.0929491	−	0.203530i
$772$	−16.9353	−	13.3181i	−0.609514	−	0.479327i
$773$	−21.5258	−	11.0973i	−0.774229	−	0.399143i	0.0253689	−	0.999678i	$-0.491924\pi$
$773$	−21.5258	−	11.0973i	−0.774229	−	0.399143i	−0.799598	+	0.600535i	$0.794954\pi$
$774$	−4.02879	+	0.977373i	−0.144812	+	0.0351309i
$775$	−13.0878	+	32.6917i	−0.470127	+	1.17432i
$776$	−8.74002	−	10.0865i	−0.313748	−	0.362085i
$777$	−26.4842	−	8.68333i	−0.950115	−	0.311513i
$778$	15.8665	+	13.7484i	0.568842	+	0.492904i
$779$	11.5021	+	2.79038i	0.412106	+	0.0999757i
$780$	−0.479775	+	0.673749i	−0.0171787	+	0.0241241i
$781$	6.86236	−	3.96199i	0.245555	−	0.141771i
$782$	−8.27348	+	20.6985i	−0.295859	+	0.740177i
$783$		−	5.56849i		−	0.199002i
$784$	−6.40990	+	2.81303i	−0.228925	+	0.100466i
$785$	−74.7847	+	21.9588i	−2.66918	+	0.783742i
$786$	−0.799982	−	2.31139i	−0.0285344	−	0.0824447i
$787$	0.0604440	−	1.26888i	0.00215460	−	0.0452305i	−0.997534	−	0.0701850i	$-0.977641\pi$
$787$	0.0604440	−	1.26888i	0.00215460	−	0.0452305i	0.999689	+	0.0249544i	$0.00794407\pi$
$788$	3.92625	−	11.3441i	0.139867	−	0.404118i
$789$	−8.56201	−	3.42771i	−0.304816	−	0.122030i
$790$	8.59844	−	29.2836i	0.305919	−	1.04186i
$791$	0.804291	+	0.742130i	0.0285973	+	0.0263871i
$792$	0.730162	+	0.104981i	0.0259452	+	0.00373035i
$793$	−1.37036	+	0.975829i	−0.0486629	+	0.0346527i
$794$	1.62064	+	16.9722i	0.0575145	+	0.602319i
$795$	−21.1596	+	8.47104i	−0.750455	+	0.300437i
$796$	0.176417	+	3.70345i	0.00625294	+	0.131265i
$797$	−21.1999	−	6.22486i	−0.750940	−	0.220496i	−0.116204	−	0.993225i	$-0.537073\pi$
$797$	−21.1999	−	6.22486i	−0.750940	−	0.220496i	−0.634735	+	0.772730i	$0.718891\pi$
$798$	2.13318	−	16.7832i	0.0755139	−	0.594118i
$799$	−8.54789	+	7.40679i	−0.302403	+	0.262033i
$800$	6.93673	−	3.57614i	0.245251	−	0.126435i
$801$	9.80953	+	1.89063i	0.346603	+	0.0668022i
$802$	−14.9424	+	15.6711i	−0.527635	+	0.553367i
$803$	−9.20781	−	0.879239i	−0.324936	−	0.0310277i
$804$	−10.2909			−0.362931
$805$	−36.1593	−	27.4590i	−1.27445	−	0.967803i
$806$	−1.04297			−0.0367371
$807$	−16.1336	−	1.54058i	−0.567931	−	0.0542309i
$808$	5.90186	−	6.18969i	0.207627	−	0.217753i
$809$	20.2342	+	3.89983i	0.711397	+	0.137111i	0.532096	−	0.846684i	$-0.321404\pi$
$809$	20.2342	+	3.89983i	0.711397	+	0.137111i	0.179301	+	0.983794i	$0.442616\pi$
$810$	−3.18053	+	1.63968i	−0.111752	+	0.0576123i
$811$	30.3846	−	26.3284i	1.06695	−	0.924514i	0.0696190	−	0.997574i	$-0.477822\pi$
$811$	30.3846	−	26.3284i	1.06695	−	0.924514i	0.997328	+	0.0730592i	$0.0232762\pi$
$812$	8.91639	−	11.7284i	0.312904	−	0.411585i
$813$	−11.4157	−	3.35196i	−0.400367	−	0.117558i
$814$	0.369755	+	7.76210i	0.0129599	+	0.272062i
$815$	−52.7270	+	21.1087i	−1.84695	+	0.739406i
$816$	0.441815	+	4.62690i	0.0154666	+	0.161974i
$817$	21.5938	−	15.3769i	0.755471	−	0.537969i
$818$	22.0788	+	3.17446i	0.771968	+	0.110992i
$819$	0.583886	−	0.181881i	0.0204026	−	0.00635544i
$820$	1.86597	−	6.35491i	0.0651625	−	0.221923i
$821$	12.9279	+	5.17556i	0.451188	+	0.180628i	0.586116	−	0.810227i	$-0.300656\pi$
$821$	12.9279	+	5.17556i	0.451188	+	0.180628i	−0.134928	+	0.990855i	$0.543080\pi$
$822$	−6.25363	+	18.0687i	−0.218120	+	0.630217i
$823$	−0.0677726	+	1.42272i	−0.00236241	+	0.0495930i	−0.999741	−	0.0227708i	$-0.992751\pi$
$823$	−0.0677726	+	1.42272i	−0.00236241	+	0.0495930i	0.997378	+	0.0723637i	$0.0230542\pi$
$824$	−2.69098	−	7.77508i	−0.0937447	−	0.270858i
$825$	−5.52380	+	1.62193i	−0.192314	+	0.0564685i
$826$	4.37990	−	3.56199i	0.152396	−	0.123938i
$827$			16.3863i			0.569807i	0.958556	+	0.284904i	$0.0919616\pi$
$827$			16.3863i			0.569807i	−0.958556	+	0.284904i	$0.908038\pi$
$828$	−0.453298	+	4.77436i	−0.0157532	+	0.165921i
$829$	38.2145	−	22.0632i	1.32724	−	0.766285i	0.342372	−	0.939564i	$-0.388770\pi$
$829$	38.2145	−	22.0632i	1.32724	−	0.766285i	0.984873	+	0.173279i	$0.0554363\pi$
$830$	−3.88687	+	5.45834i	−0.134915	+	0.189462i
$831$	−32.1319	−	7.79512i	−1.11464	−	0.270410i
$832$	0.174689	+	0.151369i	0.00605627	+	0.00524779i
$833$	14.4776	+	29.1370i	0.501620	+	1.00954i
$834$	11.0626	+	12.7669i	0.383065	+	0.442080i
$835$	−12.4210	+	31.0263i	−0.429848	+	1.07371i
$836$	−4.58406	+	1.11208i	−0.158543	+	0.0384621i
$837$	−4.01056	−	2.06759i	−0.138625	−	0.0714664i
$838$	−16.7503	−	13.1726i	−0.578628	−	0.455038i
$839$	15.9892	−	35.0116i	0.552010	−	1.20873i	−0.403827	−	0.914835i	$-0.632320\pi$
$839$	15.9892	−	35.0116i	0.552010	−	1.20873i	0.955837	−	0.293898i	$-0.0949525\pi$
$840$	−9.32432	−	1.63924i	−0.321720	−	0.0565592i
$841$	−0.285779	+	1.98764i	−0.00985445	+	0.0685392i
$842$	−1.42937	+	0.0680892i	−0.0492593	+	0.00234651i
$843$	−6.99699	−	28.8420i	−0.240989	−	0.993370i
$844$	5.78556	−	4.54981i	0.199147	−	0.156611i
$845$	−45.4896	+	8.76741i	−1.56489	+	0.301608i
$846$	−1.31562	+	2.04714i	−0.0452318	+	0.0703820i
$847$	15.3351	+	23.0240i	0.526921	+	0.791116i
$848$	1.79451	+	6.11156i	0.0616239	+	0.209872i
$849$	0.130027	−	1.36170i	0.00446250	−	0.0467335i
$850$	−18.1370	−	31.4142i	−0.622093	−	1.07750i
$851$	−50.2898	+	4.82946i	−1.72391	+	0.165552i
$852$	9.30275	+	5.37094i	0.318707	+	0.184005i
$853$	3.99450	−	1.82423i	0.136769	−	0.0624604i	−0.345855	−	0.938288i	$-0.612411\pi$
$853$	3.99450	−	1.82423i	0.136769	−	0.0624604i	0.482624	+	0.875828i	$0.339684\pi$
$854$	−16.8315	−	9.35358i	−0.575962	−	0.320073i
$855$	14.9842	−	17.2926i	0.512447	−	0.591396i
$856$	−2.10757	−	4.08812i	−0.0720354	−	0.139729i
$857$	−12.7579	−	4.41555i	−0.435801	−	0.150832i	0.100354	−	0.994952i	$-0.468003\pi$
$857$	−12.7579	−	4.41555i	−0.435801	−	0.150832i	−0.536155	+	0.844120i	$0.680124\pi$
$858$	−0.105403	−	0.134030i	−0.00359839	−	0.00457572i
$859$	25.3302	+	26.5655i	0.864255	+	0.906405i	0.996396	−	0.0848263i	$-0.0270335\pi$
$859$	25.3302	+	26.5655i	0.864255	+	0.906405i	−0.132141	+	0.991231i	$0.542185\pi$
$860$	−8.02008	−	12.4795i	−0.273482	−	0.425547i
$861$	−3.94201	+	2.90553i	−0.134343	+	0.0990203i
$862$	7.17428	+	3.27639i	0.244357	+	0.111594i
$863$	18.0035	+	25.2823i	0.612845	+	0.860620i	0.998063	−	0.0622052i	$-0.0198133\pi$
$863$	18.0035	+	25.2823i	0.612845	+	0.860620i	−0.385219	+	0.922825i	$0.625874\pi$
$864$	0.371662	+	0.928368i	0.0126442	+	0.0315837i
$865$	−16.5467	+	32.0961i	−0.562605	+	1.09130i
$866$	9.07484	−	8.65284i	0.308376	−	0.294036i
$867$	4.55654	−	0.655131i	0.154748	−	0.0222494i
$868$	−5.13639	−	10.7766i	−0.174340	−	0.365780i
$869$	5.29290	+	3.40154i	0.179549	+	0.115389i
$870$	18.8299	−	6.51708i	0.638393	−	0.220950i
$871$	1.72155	+	1.64149i	0.0583325	+	0.0556199i
$872$	−8.15415	−	5.80654i	−0.276134	−	0.196634i
$873$	−6.67319	+	11.5583i	−0.225853	+	0.391189i
$874$	−8.65572	−	29.4200i	−0.292784	−	0.995146i
$875$	25.6948	−	6.68083i	0.868643	−	0.225853i
$876$	−5.20891	−	11.4059i	−0.175993	−	0.385370i
$877$	10.8854	−	44.8703i	0.367575	−	1.51516i	−0.424890	−	0.905245i	$-0.639687\pi$
$877$	10.8854	−	44.8703i	0.367575	−	1.51516i	0.792465	−	0.609918i	$-0.208798\pi$
$878$	3.19880	−	16.5970i	0.107954	−	0.560121i
$879$	10.6186	+	0.505826i	0.358156	+	0.0170611i
$880$	0.499550	+	2.59191i	0.0168398	+	0.0873733i
$881$	−1.50794	−	10.4879i	−0.0508037	−	0.353348i	−0.999328	−	0.0366444i	$-0.988333\pi$
$881$	−1.50794	−	10.4879i	−0.0508037	−	0.353348i	0.948525	−	0.316703i	$-0.102576\pi$
$882$	4.75479	+	5.13731i	0.160102	+	0.172982i
$883$	−20.1501	+	12.9497i	−0.678105	+	0.435791i	−0.833839	−	0.552008i	$-0.813862\pi$
$883$	−20.1501	+	12.9497i	−0.678105	+	0.435791i	0.155734	+	0.987799i	$0.450226\pi$
$884$	0.664125	−	0.844504i	0.0223370	−	0.0284037i
$885$	7.60078	−	0.725786i	0.255497	−	0.0243970i
$886$	−32.0101	+	3.05660i	−1.07540	+	0.102688i
$887$	9.05692	−	11.5168i	0.304102	−	0.386697i	−0.609852	−	0.792515i	$-0.708771\pi$
$887$	9.05692	−	11.5168i	0.304102	−	0.386697i	0.913954	+	0.405819i	$0.133014\pi$
$888$	−8.86209	+	5.69532i	−0.297392	+	0.191122i
$889$	−22.7530	−	0.710689i	−0.763112	−	0.0238357i
$890$	5.08741	+	35.3837i	0.170530	+	1.18606i
$891$	−0.139605	−	0.724340i	−0.00467695	−	0.0242663i
$892$	−13.2741	−	0.632322i	−0.444449	−	0.0211717i
$893$	2.94486	−	15.2794i	0.0985459	−	0.511305i
$894$	1.58209	−	6.52147i	0.0529131	−	0.218111i
$895$	−19.5987	−	42.9153i	−0.655114	−	1.43450i
$896$	−0.703727	+	2.55044i	−0.0235099	+	0.0852044i
$897$	0.837390	−	0.726393i	0.0279596	−	0.0242536i
$898$	−7.94099	+	13.7542i	−0.264994	+	0.458984i
$899$	20.4669	+	14.5744i	0.682611	+	0.486085i
$900$	−5.64823	−	5.38558i	−0.188274	−	0.179519i
$901$	27.9771	−	9.68298i	0.932053	−	0.322587i
$902$	1.14863	+	0.738178i	0.0382451	+	0.0245786i
$903$	−0.863681	+	10.9343i	−0.0287415	+	0.363870i
$904$	0.409422	−	0.0588660i	0.0136172	−	0.00195785i
$905$	−6.69228	+	6.38108i	−0.222459	+	0.212114i
$906$	0.395185	−	0.766552i	0.0131291	−	0.0254670i
$907$	4.63600	+	11.5802i	0.153936	+	0.384513i	0.985210	−	0.171349i	$-0.0548125\pi$
$907$	4.63600	+	11.5802i	0.153936	+	0.384513i	−0.831275	+	0.555862i	$0.812388\pi$
$908$	−10.3047	−	14.4710i	−0.341975	−	0.480237i
$909$	−7.77957	−	3.55281i	−0.258032	−	0.117839i
$910$	1.29838	+	1.76155i	0.0430410	+	0.0583948i
$911$	31.7372	+	49.3840i	1.05150	+	1.63616i	0.721833	+	0.692067i	$0.243300\pi$
$911$	31.7372	+	49.3840i	1.05150	+	1.63616i	0.329666	+	0.944098i	$0.393064\pi$
$912$	−4.41270	−	4.62791i	−0.146119	−	0.153245i
$913$	−0.853913	−	1.08584i	−0.0282604	−	0.0359360i
$914$	1.58584	+	0.548863i	0.0524548	+	0.0181548i
$915$	−11.9336	−	23.1480i	−0.394513	−	0.765249i
$916$	4.17258	−	4.81541i	0.137866	−	0.159106i
$917$	−6.47042	+	0.105964i	−0.213672	+	0.00349922i
$918$	4.22792	−	1.93083i	0.139542	−	0.0637268i
$919$	−1.27912	−	0.738503i	−0.0421944	−	0.0243610i	0.478754	−	0.877949i	$-0.341088\pi$
$919$	−1.27912	−	0.738503i	−0.0421944	−	0.0243610i	−0.520949	+	0.853588i	$0.674422\pi$
$920$	−16.6750	+	4.05485i	−0.549760	+	0.133684i
$921$	−17.2602	−	29.8955i	−0.568742	−	0.985090i
$922$	0.532053	−	5.57191i	0.0175222	−	0.183501i
$923$	−0.699530	−	2.38238i	−0.0230253	−	0.0784170i
$924$	0.865792	−	1.74915i	0.0284825	−	0.0575427i
$925$	44.4479	−	69.1623i	1.46144	−	2.27404i
$926$	−31.3277	+	6.03791i	−1.02949	+	0.198418i
$927$	−6.46732	+	5.08596i	−0.212415	+	0.167045i
$928$	−1.31282	−	5.41152i	−0.0430955	−	0.177642i
$929$	−15.2966	+	0.728668i	−0.501866	+	0.0239068i	−0.296989	−	0.954881i	$-0.595982\pi$
$929$	−15.2966	+	0.728668i	−0.501866	+	0.0239068i	−0.204877	+	0.978788i	$0.565679\pi$
$930$	2.29780	−	15.9815i	0.0753478	−	0.524056i
$931$	−40.4358	−	19.1971i	−1.32523	−	0.629160i
$932$	12.5133	−	27.4002i	0.409885	−	0.897523i
$933$	−20.6614	−	16.2483i	−0.676424	−	0.531946i
$934$	2.43124	+	1.25339i	0.0795527	+	0.0410122i
$935$	11.9229	−	2.89247i	0.389922	−	0.0945940i
$936$	0.0859088	−	0.214590i	0.00280802	−	0.00701409i
$937$	30.8705	+	35.6265i	1.00850	+	1.16387i	0.986442	+	0.164109i	$0.0524748\pi$
$937$	30.8705	+	35.6265i	1.00850	+	1.16387i	0.0220531	+	0.999757i	$0.492980\pi$
$938$	−8.48260	+	25.8720i	−0.276967	+	0.844750i
$939$	−22.5438	−	19.5343i	−0.735689	−	0.637479i
$940$	−8.46214	−	2.05289i	−0.276005	−	0.0669580i
$941$	−10.8311	+	15.2101i	−0.353084	+	0.495837i	−0.952474	−	0.304620i	$-0.901470\pi$
$941$	−10.8311	+	15.2101i	−0.353084	+	0.495837i	0.599390	+	0.800457i	$0.295410\pi$
$942$	18.8636	−	10.8909i	0.614608	−	0.354844i
$943$	−4.43422	+	7.68988i	−0.144398	+	0.250417i
$944$		−	2.13379i		−	0.0694489i
$945$	1.50060	+	9.34763i	0.0488146	+	0.304079i
$946$	2.93424	−	0.861572i	0.0954005	−	0.0280121i
$947$	−18.9211	−	54.6690i	−0.614853	−	1.77650i	−0.629973	−	0.776617i	$-0.716934\pi$
$947$	−18.9211	−	54.6690i	−0.614853	−	1.77650i	0.0151201	−	0.999886i	$-0.495187\pi$
$948$	−0.405832	+	8.51947i	−0.0131808	+	0.276699i
$949$	−0.947963	+	2.73896i	−0.0307722	+	0.0889104i
$950$	46.3297	+	18.5476i	1.50313	+	0.601764i
$951$	1.67394	−	5.70092i	0.0542813	−	0.184865i
$952$	11.9965	+	2.70313i	0.388810	+	0.0876088i
$953$	−56.0657	−	8.06103i	−1.81615	−	0.261122i	−0.851440	−	0.524452i	$-0.824270\pi$
$953$	−56.0657	−	8.06103i	−1.81615	−	0.261122i	−0.964706	+	0.263330i	$0.915179\pi$
$954$	5.18850	−	3.69471i	0.167984	−	0.119621i
$955$	1.37060	+	14.3536i	0.0443516	+	0.464471i
$956$	21.2637	−	8.51270i	0.687717	−	0.275320i
$957$	0.195453	+	4.10306i	0.00631809	+	0.132633i
$958$	18.7486	+	5.50509i	0.605740	+	0.177861i
$959$	40.2712	+	30.6158i	1.30042	+	0.988636i
$960$	−2.70431	+	2.34329i	−0.0872811	+	0.0756295i
$961$	−9.45761	+	4.87574i	−0.305084	+	0.157282i
$962$	2.39099	+	0.460826i	0.0770886	+	0.0148576i
$963$	−3.17396	+	3.32875i	−0.102279	+	0.107268i
$964$	6.08984	+	0.581509i	0.196141	+	0.0187292i
$965$	−77.0936			−2.48173
$966$	11.6294	+	5.07505i	0.374171	+	0.163287i
$967$	10.3707			0.333498			0.166749	−	0.985999i	$-0.446673\pi$
$967$	10.3707			0.333498			0.166749	+	0.985999i	$0.446673\pi$
$968$	10.4085	+	0.993891i	0.334542	+	0.0319449i
$969$	−20.5100	+	21.5102i	−0.658876	+	0.691009i
$970$	−46.8944	−	9.03816i	−1.50569	−	0.290198i
$971$	51.8804	−	26.7462i	1.66492	−	0.858326i	0.671865	−	0.740673i	$-0.265493\pi$
$971$	51.8804	−	26.7462i	1.66492	−	0.858326i	0.993055	−	0.117653i	$-0.0375369\pi$
$972$	0.755750	−	0.654861i	0.0242407	−	0.0210047i
$973$	41.2155	−	17.2885i	1.32131	−	0.554244i
$974$	30.7413	+	9.02645i	0.985014	+	0.289226i
$975$	0.0858350	+	1.80190i	0.00274892	+	0.0577069i
$976$	−6.75669	+	2.70497i	−0.216277	+	0.0865841i
$977$	1.21289	+	12.7020i	0.0388039	+	0.406373i	0.993917	+	0.110131i	$0.0351272\pi$
$977$	1.21289	+	12.7020i	0.0388039	+	0.406373i	−0.955113	+	0.296241i	$0.904267\pi$
$978$	12.9291	−	9.20674i	0.413425	−	0.294399i
$979$	−7.29437	−	1.04877i	−0.233129	−	0.0335189i
$980$	−11.8071	+	22.0908i	−0.377163	+	0.705665i
$981$	−2.82023	+	9.60481i	−0.0900429	+	0.306658i
$982$	3.51363	+	1.40665i	0.112124	+	0.0448879i
$983$	11.8759	−	34.3132i	0.378783	−	1.09442i	−0.581055	−	0.813864i	$-0.697360\pi$
$983$	11.8759	−	34.3132i	0.378783	−	1.09442i	0.959838	−	0.280556i	$-0.0905189\pi$
$984$	−0.0880707	+	1.84883i	−0.00280759	+	0.0589386i
$985$	−14.0493	−	40.5928i	−0.447649	−	1.29340i
$986$	−24.8336	+	7.29181i	−0.790864	+	0.232219i
$987$	4.06221	+	4.99498i	0.129302	+	0.158992i
$988$			1.47807i			0.0470236i
$989$	6.51284	+	18.7848i	0.207096	+	0.597322i
$990$	2.28597	−	1.31981i	0.0726530	−	0.0419462i
$991$	−29.2926	+	41.1357i	−0.930511	+	1.30672i	0.0212164	+	0.999775i	$0.493246\pi$
$991$	−29.2926	+	41.1357i	−0.930511	+	1.30672i	−0.951727	+	0.306945i	$0.900693\pi$
$992$	−4.38497	−	1.06378i	−0.139223	−	0.0337751i
$993$	4.90166	+	4.24732i	0.155550	+	0.134784i
$994$	21.1710	−	18.9606i	0.671505	−	0.601393i
$995$	8.68811	+	10.0266i	0.275432	+	0.317865i
$996$	0.695985	−	1.73849i	0.0220531	−	0.0550861i
$997$	−47.8414	+	11.6062i	−1.51515	+	0.367572i	−0.905242	−	0.424897i	$-0.860310\pi$
$997$	−47.8414	+	11.6062i	−1.51515	+	0.367572i	−0.609912	+	0.792469i	$0.708795\pi$
$998$	19.1398	+	9.86726i	0.605860	+	0.312343i
$999$	8.28059	+	6.51192i	0.261986	+	0.206028i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.be.a.19.8	✓	320
7.3	odd	6	inner	966.2.be.a.157.8	yes	320
23.17	odd	22	inner	966.2.be.a.523.8	yes	320
161.17	even	66	inner	966.2.be.a.661.8	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.be.a.19.8	✓	320	1.1	even	1	trivial
966.2.be.a.157.8	yes	320	7.3	odd	6	inner
966.2.be.a.523.8	yes	320	23.17	odd	22	inner
966.2.be.a.661.8	yes	320	161.17	even	66	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.be (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.18053 - 1.63968i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02341 + 2.43980i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\)	\(q+(0.995472 + 0.0950560i) q^{2} +(-0.690079 + 0.723734i) q^{3} +(0.981929 + 0.189251i) q^{4} +(3.18053 - 1.63968i) q^{5} +(-0.755750 + 0.654861i) q^{6} +(1.02341 + 2.43980i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(3.32199 - 1.32992i) q^{10} +(0.0701201 + 0.734330i) q^{11} +(-0.814576 + 0.580057i) q^{12} +(0.228795 + 0.0328957i) q^{13} +(0.786862 + 2.52603i) q^{14} +(-1.00813 + 3.43336i) q^{15} +(0.928368 + 0.371662i) q^{16} +(1.52019 - 4.39231i) q^{17} +(0.0475819 - 0.998867i) q^{18} +(2.09143 + 6.04279i) q^{19} +(3.43336 - 1.00813i) q^{20} +(-2.47200 - 0.942975i) q^{21} +0.737671i q^{22} +(-4.79028 + 0.230779i) q^{23} +(-0.866025 + 0.500000i) q^{24} +(4.52694 - 6.35719i) q^{25} +(0.224632 + 0.0544950i) q^{26} +(0.755750 + 0.654861i) q^{27} +(0.543184 + 2.58939i) q^{28} +(-3.64659 - 4.20838i) q^{29} +(-1.32992 + 3.32199i) q^{30} +(-4.38497 + 1.06378i) q^{31} +(0.888835 + 0.458227i) q^{32} +(-0.579848 - 0.455998i) q^{33} +(1.93083 - 4.22792i) q^{34} +(7.25548 + 6.08178i) q^{35} +(0.142315 - 0.989821i) q^{36} +(10.5225 - 0.501246i) q^{37} +(1.50756 + 6.21423i) q^{38} +(-0.181694 + 0.142886i) q^{39} +(3.51364 - 0.677199i) q^{40} +(1.00069 - 1.55710i) q^{41} +(-2.37117 - 1.17368i) q^{42} +(-1.16796 - 3.97772i) q^{43} +(-0.0701201 + 0.734330i) q^{44} +(-1.78915 - 3.09891i) q^{45} +(-4.79052 - 0.225611i) q^{46} +(-2.10742 - 1.21672i) q^{47} +(-0.909632 + 0.415415i) q^{48} +(-4.90525 + 4.99385i) q^{49} +(5.11073 - 5.89809i) q^{50} +(2.12981 + 4.13126i) q^{51} +(0.218434 + 0.0756009i) q^{52} +(3.93741 + 5.00682i) q^{53} +(0.690079 + 0.723734i) q^{54} +(1.42708 + 2.22058i) q^{55} +(0.294587 + 2.62930i) q^{56} +(-5.81663 - 2.65636i) q^{57} +(-3.23004 - 4.53596i) q^{58} +(-0.793049 - 1.98094i) q^{59} +(-1.63968 + 3.18053i) q^{60} +(-5.26736 + 5.02242i) q^{61} +(-4.46623 + 0.642147i) q^{62} +(2.38834 - 1.13835i) q^{63} +(0.841254 + 0.540641i) q^{64} +(0.781626 - 0.270523i) q^{65} +(-0.533877 - 0.509051i) q^{66} +(8.38269 + 5.96929i) q^{67} +(2.32397 - 4.02524i) q^{68} +(3.13865 - 3.62614i) q^{69} +(6.64451 + 6.74392i) q^{70} +(-4.46234 - 9.77116i) q^{71} +(0.235759 - 0.971812i) q^{72} +(-2.37303 + 12.3125i) q^{73} +(10.5225 + 0.501246i) q^{74} +(1.47697 + 7.66326i) q^{75} +(0.910030 + 6.32940i) q^{76} +(-1.71986 + 0.922603i) q^{77} +(-0.194454 + 0.124968i) q^{78} +(5.27236 - 6.70435i) q^{79} +(3.56211 - 0.340140i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(1.14417 - 1.45493i) q^{82} +(-1.57535 + 1.01242i) q^{83} +(-2.24887 - 1.39376i) q^{84} +(-2.36695 - 16.4625i) q^{85} +(-0.784568 - 4.07073i) q^{86} +(5.56218 + 0.264959i) q^{87} +(-0.139605 + 0.724340i) q^{88} +(-2.35525 + 9.70846i) q^{89} +(-1.48648 - 3.25494i) q^{90} +(0.153893 + 0.591879i) q^{91} +(-4.74738 - 0.679958i) q^{92} +(2.25608 - 3.90764i) q^{93} +(-1.98222 - 1.41153i) q^{94} +(16.5601 + 15.7900i) q^{95} +(-0.945001 + 0.327068i) q^{96} +(-11.2277 - 7.21560i) q^{97} +(-5.35773 + 4.50496i) q^{98} +(0.730162 - 0.104981i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9}+O(q^{10}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9	\( 320 q - 16 q^{2} + 16 q^{4} + 32 q^{8} - 16 q^{9} - 22 q^{14} + 16 q^{16} + 66 q^{17} + 16 q^{18} + 40 q^{23} - 48 q^{25} + 12 q^{26} + 44 q^{28} - 24 q^{29} + 24 q^{31} - 16 q^{32} + 98 q^{35} + 32 q^{36} - 22 q^{37} - 66 q^{38} - 8 q^{39} - 88 q^{43} + 4 q^{46} - 144 q^{47} - 24 q^{49} + 80 q^{50} - 22 q^{51} + 12 q^{52} + 44 q^{53} + 44 q^{57} + 10 q^{58} + 12 q^{59} - 32 q^{64} + 108 q^{70} - 16 q^{71} + 16 q^{72} - 180 q^{73} - 22 q^{74} - 12 q^{75} + 18 q^{77} - 16 q^{78} + 44 q^{79} + 16 q^{81} + 36 q^{82} + 22 q^{84} + 68 q^{85} - 22 q^{86} + 48 q^{87} + 22 q^{88} + 8 q^{92} + 8 q^{93} - 12 q^{94} + 66 q^{95} - 90 q^{98}+O(q^{100}) \) 320 * q - 16 * q^2 + 16 * q^4 + 32 * q^8 - 16 * q^9 - 22 * q^14 + 16 * q^16 + 66 * q^17 + 16 * q^18 + 40 * q^23 - 48 * q^25 + 12 * q^26 + 44 * q^28 - 24 * q^29 + 24 * q^31 - 16 * q^32 + 98 * q^35 + 32 * q^36 - 22 * q^37 - 66 * q^38 - 8 * q^39 - 88 * q^43 + 4 * q^46 - 144 * q^47 - 24 * q^49 + 80 * q^50 - 22 * q^51 + 12 * q^52 + 44 * q^53 + 44 * q^57 + 10 * q^58 + 12 * q^59 - 32 * q^64 + 108 * q^70 - 16 * q^71 + 16 * q^72 - 180 * q^73 - 22 * q^74 - 12 * q^75 + 18 * q^77 - 16 * q^78 + 44 * q^79 + 16 * q^81 + 36 * q^82 + 22 * q^84 + 68 * q^85 - 22 * q^86 + 48 * q^87 + 22 * q^88 + 8 * q^92 + 8 * q^93 - 12 * q^94 + 66 * q^95 - 90 * q^98

Introduction

L-functions

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