LMFDB - Embedded newform 680.2.bw.a.43.88

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [680,2,Mod(43,680)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(680, base_ring=CyclotomicField(8))

chi = DirichletCharacter(H, H._module([4, 4, 6, 1]))

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

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

chi := DirichletCharacter("680.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 680 = 2^{3} \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	680.bw (of order $8$, degree $4$, 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:	$5.42982733745$
Analytic rank:	$0$
Dimension:	$416$
Relative dimension:	$104$ over $\Q(\zeta_{8})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label			43.88
Character	$\chi$	$=$	680.43
Dual form			680.2.bw.a.427.88

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.21233 - 0.728189i) q^{2} +(-0.0135844 - 0.0327956i) q^{3} +(0.939481 - 1.76561i) q^{4} +(-0.252941 + 2.22172i) q^{5} +(-0.0403501 - 0.0298670i) q^{6} +(-2.00134 + 4.83165i) q^{7} +(-0.146738 - 2.82462i) q^{8} +(2.12043 - 2.12043i) q^{9} +O(q^{10})$	\(q+(1.21233 - 0.728189i) q^{2} +(-0.0135844 - 0.0327956i) q^{3} +(0.939481 - 1.76561i) q^{4} +(-0.252941 + 2.22172i) q^{5} +(-0.0403501 - 0.0298670i) q^{6} +(-2.00134 + 4.83165i) q^{7} +(-0.146738 - 2.82462i) q^{8} +(2.12043 - 2.12043i) q^{9} +(1.31118 + 2.87764i) q^{10} +(-3.58180 + 1.48363i) q^{11} +(-0.0706664 - 0.00682612i) q^{12} +(3.78984 + 3.78984i) q^{13} +(1.09208 + 7.31490i) q^{14} +(0.0762985 - 0.0218853i) q^{15} +(-2.23475 - 3.31751i) q^{16} +(3.70777 + 1.80346i) q^{17} +(1.02658 - 4.11473i) q^{18} +(2.63383 + 2.63383i) q^{19} +(3.68505 + 2.53385i) q^{20} +0.185644 q^{21} +(-3.26195 + 4.40687i) q^{22} +(1.31860 - 3.18338i) q^{23} +(-0.0906416 + 0.0431830i) q^{24} +(-4.87204 - 1.12393i) q^{25} +(7.35425 + 1.83481i) q^{26} +(-0.196732 - 0.0814891i) q^{27} +(6.65059 + 8.07282i) q^{28} +(1.42107 - 3.43077i) q^{29} +(0.0765622 - 0.0820919i) q^{30} +(-0.729663 + 1.76156i) q^{31} +(-5.12503 - 2.39459i) q^{32} +(0.0973129 + 0.0973129i) q^{33} +(5.80829 - 0.513568i) q^{34} +(-10.2283 - 5.66852i) q^{35} +(-1.75175 - 5.73595i) q^{36} +(0.575535 + 1.38946i) q^{37} +(5.11099 + 1.27514i) q^{38} +(0.0728074 - 0.175773i) q^{39} +(6.31261 + 0.388452i) q^{40} +(-0.414729 - 1.00125i) q^{41} +(0.225061 - 0.135184i) q^{42} +5.12864i q^{43} +(-0.745520 + 7.71789i) q^{44} +(4.17465 + 5.24734i) q^{45} +(-0.719529 - 4.81950i) q^{46} +(-0.519612 + 0.519612i) q^{47} +(-0.0784420 + 0.118356i) q^{48} +(-14.3898 - 14.3898i) q^{49} +(-6.72495 + 2.18520i) q^{50} +(0.00877787 - 0.146097i) q^{51} +(10.2519 - 3.13090i) q^{52} -3.61147i q^{53} +(-0.297844 + 0.0444667i) q^{54} +(-2.39022 - 8.33300i) q^{55} +(13.9412 + 4.94402i) q^{56} +(0.0505990 - 0.122157i) q^{57} +(-0.775444 - 5.19403i) q^{58} +(0.780898 - 0.780898i) q^{59} +(0.0330402 - 0.155274i) q^{60} +(-7.86852 + 3.25925i) q^{61} +(0.398159 + 2.66692i) q^{62} +(6.00148 + 14.4889i) q^{63} +(-7.95694 + 0.828960i) q^{64} +(-9.37856 + 7.46134i) q^{65} +(0.188837 + 0.0471130i) q^{66} +(5.89290 - 5.89290i) q^{67} +(6.66758 - 4.85215i) q^{68} -0.122313 q^{69} +(-16.5279 + 0.576052i) q^{70} +(5.69563 - 13.7505i) q^{71} +(-6.30055 - 5.67825i) q^{72} +(9.04705 - 3.74741i) q^{73} +(1.70953 + 1.26539i) q^{74} +(0.0293238 + 0.175049i) q^{75} +(7.12474 - 2.17588i) q^{76} -20.2752i q^{77} +(-0.0397293 - 0.266112i) q^{78} +(2.69275 - 1.11537i) q^{79} +(7.93583 - 4.12585i) q^{80} -8.98866i q^{81} +(-1.23188 - 0.911837i) q^{82} -1.01502 q^{83} +(0.174409 - 0.327774i) q^{84} +(-4.94462 + 7.78143i) q^{85} +(3.73462 + 6.21760i) q^{86} -0.131818 q^{87} +(4.71627 + 9.89950i) q^{88} +13.0061 q^{89} +(8.88210 + 3.32156i) q^{90} +(-25.8959 + 10.7264i) q^{91} +(-4.38181 - 5.31886i) q^{92} +0.0676834 q^{93} +(-0.251565 + 1.00832i) q^{94} +(-6.51782 + 5.18541i) q^{95} +(-0.00891170 + 0.200607i) q^{96} +(-4.21813 - 10.1835i) q^{97} +(-27.9236 - 6.96664i) q^{98} +(-4.44902 + 10.7409i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 416 q - 8 q^{3}+O(q^{10}) $ 416 * q - 8 * q^3	$ 416 q - 8 q^{3} - 12 q^{10} - 16 q^{11} - 16 q^{12} - 16 q^{14} - 16 q^{16} - 8 q^{18} - 32 q^{19} + 12 q^{20} + 4 q^{22} + 24 q^{24} - 16 q^{25} + 8 q^{26} + 16 q^{27} - 20 q^{28} - 16 q^{30} - 16 q^{33} - 16 q^{35} - 72 q^{36} + 16 q^{38} - 24 q^{40} - 16 q^{41} - 24 q^{42} + 32 q^{46} - 100 q^{48} - 48 q^{50} - 16 q^{51} + 24 q^{52} + 16 q^{54} - 8 q^{56} - 32 q^{57} - 72 q^{58} - 40 q^{60} + 48 q^{62} + 48 q^{64} - 8 q^{65} - 8 q^{66} - 16 q^{67} - 116 q^{68} + 80 q^{70} + 24 q^{72} + 32 q^{73} - 16 q^{74} + 16 q^{75} - 40 q^{76} - 76 q^{78} + 16 q^{80} - 36 q^{82} - 16 q^{83} - 48 q^{86} + 72 q^{88} + 56 q^{90} - 16 q^{91} - 104 q^{92} - 24 q^{94} - 8 q^{96} - 40 q^{98}+O(q^{100}) $ 416 * q - 8 * q^3 - 12 * q^10 - 16 * q^11 - 16 * q^12 - 16 * q^14 - 16 * q^16 - 8 * q^18 - 32 * q^19 + 12 * q^20 + 4 * q^22 + 24 * q^24 - 16 * q^25 + 8 * q^26 + 16 * q^27 - 20 * q^28 - 16 * q^30 - 16 * q^33 - 16 * q^35 - 72 * q^36 + 16 * q^38 - 24 * q^40 - 16 * q^41 - 24 * q^42 + 32 * q^46 - 100 * q^48 - 48 * q^50 - 16 * q^51 + 24 * q^52 + 16 * q^54 - 8 * q^56 - 32 * q^57 - 72 * q^58 - 40 * q^60 + 48 * q^62 + 48 * q^64 - 8 * q^65 - 8 * q^66 - 16 * q^67 - 116 * q^68 + 80 * q^70 + 24 * q^72 + 32 * q^73 - 16 * q^74 + 16 * q^75 - 40 * q^76 - 76 * q^78 + 16 * q^80 - 36 * q^82 - 16 * q^83 - 48 * q^86 + 72 * q^88 + 56 * q^90 - 16 * q^91 - 104 * q^92 - 24 * q^94 - 8 * q^96 - 40 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/680\mathbb{Z}\right)^\times$.

$n$	$137$	$241$	$341$	$511$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{8}\right)$	$-1$	$-1$

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 $

$2$	1.21233	−	0.728189i	0.857246	−	0.514908i
$2$	1.21233	−	0.728189i	0.857246	−	0.514908i
$3$	−0.0135844	−	0.0327956i	−0.00784294	−	0.0189345i	0.919910	−	0.392131i	$-0.128262\pi$
$3$	−0.0135844	−	0.0327956i	−0.00784294	−	0.0189345i	−0.927752	+	0.373196i	$0.878262\pi$
$4$	0.939481	−	1.76561i	0.469740	−	0.882805i
$5$	−0.252941	+	2.22172i	−0.113119	+	0.993581i
$5$	−0.252941	+	2.22172i	−0.113119	+	0.993581i
$6$	−0.0403501	−	0.0298670i	−0.0164729	−	0.0121932i
$7$	−2.00134	+	4.83165i	−0.756434	+	1.82619i	−0.237472	+	0.971394i	$0.576319\pi$
$7$	−2.00134	+	4.83165i	−0.756434	+	1.82619i	−0.518961	+	0.854798i	$0.673681\pi$
$8$	−0.146738	−	2.82462i	−0.0518799	−	0.998653i
$9$	2.12043	−	2.12043i	0.706810	−	0.706810i
$10$	1.31118	+	2.87764i	0.414632	+	0.909989i
$11$	−3.58180	+	1.48363i	−1.07995	+	0.447331i	−0.850492	−	0.525987i	$-0.823696\pi$
$11$	−3.58180	+	1.48363i	−1.07995	+	0.447331i	−0.229460	+	0.973318i	$0.573696\pi$
$12$	−0.0706664	−	0.00682612i	−0.0203996	−	0.00197053i
$13$	3.78984	+	3.78984i	1.05111	+	1.05111i	0.998621	+	0.0524914i	$0.0167162\pi$
$13$	3.78984	+	3.78984i	1.05111	+	1.05111i	0.0524914	+	0.998621i	$0.483284\pi$
$14$	1.09208	+	7.31490i	0.291871	+	1.95499i
$15$	0.0762985	−	0.0218853i	0.0197002	−	0.00565075i
$16$	−2.23475	−	3.31751i	−0.558688	−	0.829378i
$17$	3.70777	+	1.80346i	0.899265	+	0.437404i
$17$	3.70777	+	1.80346i	0.899265	+	0.437404i
$18$	1.02658	−	4.11473i	0.241968	−	0.969851i
$19$	2.63383	+	2.63383i	0.604241	+	0.604241i	0.941435	−	0.337194i	$-0.109478\pi$
$19$	2.63383	+	2.63383i	0.604241	+	0.604241i	−0.337194	+	0.941435i	$0.609478\pi$
$20$	3.68505	+	2.53385i	0.824002	+	0.566587i
$21$	0.185644			0.0405108
$22$	−3.26195	+	4.40687i	−0.695450	+	0.939548i
$23$	1.31860	−	3.18338i	0.274947	−	0.663782i	−0.724734	−	0.689029i	$-0.758037\pi$
$23$	1.31860	−	3.18338i	0.274947	−	0.663782i	0.999681	+	0.0252473i	$0.00803732\pi$
$24$	−0.0906416	+	0.0431830i	−0.0185021	+	0.00881470i
$25$	−4.87204	−	1.12393i	−0.974408	−	0.224786i
$26$	7.35425	+	1.83481i	1.44229	+	0.359836i
$27$	−0.196732	−	0.0814891i	−0.0378611	−	0.0156826i
$28$	6.65059	+	8.07282i	1.25684	+	1.52562i
$29$	1.42107	−	3.43077i	0.263886	−	0.637078i	−0.735286	−	0.677757i	$-0.762952\pi$
$29$	1.42107	−	3.43077i	0.263886	−	0.637078i	0.999172	+	0.0406793i	$0.0129522\pi$
$30$	0.0765622	−	0.0820919i	0.0139783	−	0.0149879i
$31$	−0.729663	+	1.76156i	−0.131051	+	0.316386i	−0.975761	−	0.218839i	$-0.929773\pi$
$31$	−0.729663	+	1.76156i	−0.131051	+	0.316386i	0.844710	+	0.535225i	$0.179773\pi$
$32$	−5.12503	−	2.39459i	−0.905986	−	0.423308i
$33$	0.0973129	+	0.0973129i	0.0169400	+	0.0169400i
$34$	5.80829	−	0.513568i	0.996114	−	0.0880763i
$35$	−10.2283	−	5.66852i	−1.72890	−	0.958155i
$36$	−1.75175	−	5.73595i	−0.291958	−	0.955992i
$37$	0.575535	+	1.38946i	0.0946173	+	0.228426i	0.964101	−	0.265535i	$-0.0855485\pi$
$37$	0.575535	+	1.38946i	0.0946173	+	0.228426i	−0.869484	+	0.493961i	$0.835548\pi$
$38$	5.11099	+	1.27514i	0.829112	+	0.206855i
$39$	0.0728074	−	0.175773i	0.0116585	−	0.0281462i
$40$	6.31261	+	0.388452i	0.998112	+	0.0614196i
$41$	−0.414729	−	1.00125i	−0.0647698	−	0.156368i	0.888180	−	0.459495i	$-0.151970\pi$
$41$	−0.414729	−	1.00125i	−0.0647698	−	0.156368i	−0.952950	+	0.303127i	$0.901970\pi$
$42$	0.225061	−	0.135184i	0.0347277	−	0.0208593i
$43$			5.12864i			0.782110i	0.920367	+	0.391055i	$0.127890\pi$
$43$			5.12864i			0.782110i	−0.920367	+	0.391055i	$0.872110\pi$
$44$	−0.745520	+	7.71789i	−0.112391	+	1.16352i
$45$	4.17465	+	5.24734i	0.622320	+	0.782227i
$46$	−0.719529	−	4.81950i	−0.106089	−	0.710596i
$47$	−0.519612	+	0.519612i	−0.0757932	+	0.0757932i	−0.743987	−	0.668194i	$-0.767068\pi$
$47$	−0.519612	+	0.519612i	−0.0757932	+	0.0757932i	0.668194	+	0.743987i	$0.267068\pi$
$48$	−0.0784420	+	0.118356i	−0.0113221	+	0.0170833i
$49$	−14.3898	−	14.3898i	−2.05568	−	2.05568i
$50$	−6.72495	+	2.18520i	−0.951051	+	0.309034i
$51$	0.00877787	−	0.146097i	0.00122915	−	0.0204577i
$52$	10.2519	−	3.13090i	1.42168	−	0.434177i
$53$		−	3.61147i		−	0.496074i	−0.968751	−	0.248037i	$-0.920215\pi$
$53$		−	3.61147i		−	0.496074i	0.968751	−	0.248037i	$-0.0797854\pi$
$54$	−0.297844	+	0.0444667i	−0.0405314	+	0.00605115i
$55$	−2.39022	−	8.33300i	−0.322297	−	1.12362i
$56$	13.9412	+	4.94402i	1.86298	+	0.660672i
$57$	0.0505990	−	0.122157i	0.00670200	−	0.0161801i
$58$	−0.775444	−	5.19403i	−0.101821	−	0.682009i
$59$	0.780898	−	0.780898i	0.101664	−	0.101664i	−0.654445	−	0.756109i	$-0.727098\pi$
$59$	0.780898	−	0.780898i	0.101664	−	0.101664i	0.756109	+	0.654445i	$0.227098\pi$
$60$	0.0330402	−	0.155274i	0.00426547	−	0.0200458i
$61$	−7.86852	+	3.25925i	−1.00746	+	0.417304i	−0.824528	−	0.565822i	$-0.808559\pi$
$61$	−7.86852	+	3.25925i	−1.00746	+	0.417304i	−0.182933	+	0.983125i	$0.558559\pi$
$62$	0.398159	+	2.66692i	0.0505663	+	0.338700i
$63$	6.00148	+	14.4889i	0.756116	+	1.82543i
$64$	−7.95694	+	0.828960i	−0.994617	+	0.103620i
$65$	−9.37856	+	7.46134i	−1.16327	+	0.925466i
$66$	0.188837	+	0.0471130i	0.0232443	+	0.00579921i
$67$	5.89290	−	5.89290i	0.719933	−	0.719933i	−0.248658	−	0.968591i	$-0.579990\pi$
$67$	5.89290	−	5.89290i	0.719933	−	0.719933i	0.968591	+	0.248658i	$0.0799896\pi$
$68$	6.66758	−	4.85215i	0.808563	−	0.588409i
$69$	−0.122313			−0.0147248
$70$	−16.5279	+	0.576052i	−1.97546	+	0.0688514i
$71$	5.69563	−	13.7505i	0.675946	−	1.63188i	−0.0953814	−	0.995441i	$-0.530407\pi$
$71$	5.69563	−	13.7505i	0.675946	−	1.63188i	0.771328	−	0.636438i	$-0.219593\pi$
$72$	−6.30055	−	5.67825i	−0.742527	−	0.669189i
$73$	9.04705	−	3.74741i	1.05888	−	0.438601i	0.215824	−	0.976432i	$-0.430756\pi$
$73$	9.04705	−	3.74741i	1.05888	−	0.438601i	0.843053	+	0.537831i	$0.180756\pi$
$74$	1.70953	+	1.26539i	0.198729	+	0.147098i
$75$	0.0293238	+	0.175049i	0.00338602	+	0.0202129i
$76$	7.12474	−	2.17588i	0.817264	−	0.249590i
$77$		−	20.2752i		−	2.31058i
$78$	−0.0397293	−	0.266112i	−0.00449845	−	0.0301312i
$79$	2.69275	−	1.11537i	0.302958	−	0.125489i	−0.226025	−	0.974121i	$-0.572573\pi$
$79$	2.69275	−	1.11537i	0.302958	−	0.125489i	0.528984	+	0.848632i	$0.322573\pi$
$80$	7.93583	−	4.12585i	0.887253	−	0.461284i
$81$		−	8.98866i		−	0.998740i
$82$	−1.23188	−	0.911837i	−0.136039	−	0.100696i
$83$	−1.01502			−0.111413			−0.0557063	−	0.998447i	$-0.517741\pi$
$83$	−1.01502			−0.111413			−0.0557063	+	0.998447i	$0.517741\pi$
$84$	0.174409	−	0.327774i	0.0190295	−	0.0357631i
$85$	−4.94462	+	7.78143i	−0.536320	+	0.844015i
$86$	3.73462	+	6.21760i	0.402715	+	0.670461i
$87$	−0.131818			−0.0141324
$88$	4.71627	+	9.89950i	0.502756	+	1.05529i
$89$	13.0061			1.37864			0.689321	−	0.724456i	$-0.257909\pi$
$89$	13.0061			1.37864			0.689321	+	0.724456i	$0.257909\pi$
$90$	8.88210	+	3.32156i	0.936255	+	0.350123i
$91$	−25.8959	+	10.7264i	−2.71463	+	1.12444i
$92$	−4.38181	−	5.31886i	−0.456836	−	0.554530i
$93$	0.0676834			0.00701845
$94$	−0.251565	+	1.00832i	−0.0259469	+	0.104000i
$95$	−6.51782	+	5.18541i	−0.668714	+	0.532012i
$96$	−0.00891170	+	0.200607i	−0.000909547	+	0.0204744i
$97$	−4.21813	−	10.1835i	−0.428287	−	1.03398i	−0.979831	−	0.199830i	$-0.935961\pi$
$97$	−4.21813	−	10.1835i	−0.428287	−	1.03398i	0.551544	−	0.834146i	$-0.314039\pi$
$98$	−27.9236	−	6.96664i	−2.82071	−	0.703737i
$99$	−4.44902	+	10.7409i	−0.447143	+	1.07950i
$100$	−6.56161	+	7.54621i	−0.656161	+	0.754621i
$101$			14.3933i			1.43218i	0.698007	+	0.716091i	$0.254071\pi$
$101$			14.3933i			1.43218i	−0.698007	+	0.716091i	$0.745929\pi$
$102$	−0.0957448	−	0.183510i	−0.00948015	−	0.0181702i
$103$	−5.94890	+	5.94890i	−0.586162	+	0.586162i	−0.936590	−	0.350428i	$-0.886036\pi$
$103$	−5.94890	+	5.94890i	−0.586162	+	0.586162i	0.350428	+	0.936590i	$0.386036\pi$
$104$	10.1487	−	11.2610i	0.995166	−	1.10423i
$105$	−0.0469570	+	0.412447i	−0.00458253	+	0.0402507i
$106$	−2.62983	−	4.37829i	−0.255432	−	0.425257i
$107$	0.852394	+	2.05786i	0.0824040	+	0.198941i	0.959711	−	0.280988i	$-0.0906623\pi$
$107$	0.852394	+	2.05786i	0.0824040	+	0.198941i	−0.877307	+	0.479929i	$0.840662\pi$
$108$	−0.328704	+	0.270795i	−0.0316296	+	0.0260572i
$109$	5.24541	+	12.6635i	0.502419	+	1.21295i	0.948162	+	0.317787i	$0.102940\pi$
$109$	5.24541	+	12.6635i	0.502419	+	1.21295i	−0.445743	+	0.895161i	$0.647060\pi$
$110$	−8.96573	−	8.36181i	−0.854849	−	0.797267i
$111$	0.0377500	−	0.0377500i	0.00358307	−	0.00358307i
$112$	20.5015	−	4.15809i	1.93721	−	0.392902i
$113$	−9.55454	−	3.95762i	−0.898815	−	0.372302i	−0.115051	−	0.993360i	$-0.536703\pi$
$113$	−9.55454	−	3.95762i	−0.898815	−	0.372302i	−0.783765	+	0.621058i	$0.786703\pi$
$114$	−0.0276107	−	0.184940i	−0.00258597	−	0.0173212i
$115$	6.73905	+	3.73477i	0.628419	+	0.348269i
$116$	−4.72233	−	5.73220i	−0.438457	−	0.532221i
$117$	16.0722			1.48587
$118$	0.378063	−	1.51535i	0.0348036	−	0.139499i
$119$	−16.1342	+	14.3053i	−1.47902	+	1.31136i
$120$	−0.0730134	−	0.212303i	−0.00666518	−	0.0193805i
$121$	2.84993	−	2.84993i	0.259085	−	0.259085i
$122$	−7.16588	+	9.68105i	−0.648768	+	0.876481i
$123$	−0.0272026	+	0.0272026i	−0.00245277	+	0.00245277i
$124$	2.42472	+	2.94325i	0.217747	+	0.264312i
$125$	3.72939	−	10.5400i	0.333567	−	0.942727i
$126$	17.8264	+	13.1950i	1.58810	+	1.17551i
$127$		−	4.40218i		−	0.390630i	−0.980741	−	0.195315i	$-0.937427\pi$
$127$		−	4.40218i		−	0.390630i	0.980741	−	0.195315i	$-0.0625730\pi$
$128$	−9.04278	+	6.79913i	−0.799276	+	0.600964i
$129$	0.168197	−	0.0696694i	0.0148089	−	0.00613405i
$130$	−5.93662	+	15.8750i	−0.520676	+	1.39233i
$131$	−5.56650	+	13.4387i	−0.486347	+	1.17415i	0.470198	+	0.882561i	$0.344183\pi$
$131$	−5.56650	+	13.4387i	−0.486347	+	1.17415i	−0.956545	+	0.291585i	$0.905817\pi$
$132$	0.263240	−	0.0803930i	0.0229121	−	0.00699731i
$133$	−17.9969	+	7.45456i	−1.56053	+	0.646392i
$134$	2.85299	−	11.4353i	0.246460	−	0.987858i
$135$	0.230807	−	0.416471i	0.0198647	−	0.0358441i
$136$	4.55002	−	10.7377i	0.390161	−	0.920747i
$137$	9.54788	−	9.54788i	0.815731	−	0.815731i	−0.169755	−	0.985486i	$-0.554298\pi$
$137$	9.54788	−	9.54788i	0.815731	−	0.815731i	0.985486	+	0.169755i	$0.0542978\pi$
$138$	−0.148284	+	0.0890672i	−0.0126228	+	0.00758191i
$139$	3.09083	−	7.46193i	0.262161	−	0.632912i	−0.736911	−	0.675990i	$-0.763716\pi$
$139$	3.09083	−	7.46193i	0.262161	−	0.632912i	0.999072	+	0.0430775i	$0.0137163\pi$
$140$	−19.6177	+	12.7338i	−1.65800	+	1.07620i
$141$	0.0240996	+	0.00998237i	0.00202955	+	0.000840667i
$142$	−3.10797	−	20.8176i	−0.260815	−	1.74697i
$143$	−19.1972	−	7.95172i	−1.60535	−	0.664956i
$144$	−11.7732	−	2.29592i	−0.981099	−	0.191326i
$145$	7.26274	+	4.02500i	0.603138	+	0.334258i
$146$	8.23917	−	11.1311i	0.681879	−	0.921213i
$147$	−0.276445	+	0.667396i	−0.0228008	+	0.0550459i
$148$	2.99395	+	0.289205i	0.246102	+	0.0237725i
$149$			10.2517i			0.839851i	0.907559	+	0.419925i	$0.137944\pi$
$149$			10.2517i			0.839851i	−0.907559	+	0.419925i	$0.862056\pi$
$150$	0.163019	+	0.190864i	0.0133104	+	0.0155840i
$151$	−17.1167	−	17.1167i	−1.39294	−	1.39294i	−0.818663	−	0.574274i	$-0.805284\pi$
$151$	−17.1167	−	17.1167i	−1.39294	−	1.39294i	−0.574274	−	0.818663i	$-0.694716\pi$
$152$	7.05307	−	7.82604i	0.572080	−	0.634776i
$153$	11.6862	−	4.03794i	0.944771	−	0.326448i
$154$	−14.7642	−	24.5802i	−1.18973	−	1.98073i
$155$	−3.72913	−	2.06667i	−0.299531	−	0.165999i
$156$	−0.241945	−	0.293684i	−0.0193711	−	0.0235136i
$157$	0.0419974	−	0.0419974i	0.00335176	−	0.00335176i	−0.705429	−	0.708781i	$-0.749246\pi$
$157$	0.0419974	−	0.0419974i	0.00335176	−	0.00335176i	0.708781	+	0.705429i	$0.249246\pi$
$158$	2.45230	−	3.31303i	0.195094	−	0.263571i
$159$	−0.118440	+	0.0490596i	−0.00939293	+	0.00389068i
$160$	6.61643	−	10.7807i	0.523075	−	0.852287i
$161$	12.7420	+	12.7420i	1.00421	+	1.00421i
$162$	−6.54545	−	10.8972i	−0.514259	−	0.856166i
$163$	5.37295	−	12.9715i	0.420842	−	1.01600i	−0.561257	−	0.827641i	$-0.689682\pi$
$163$	5.37295	−	12.9715i	0.420842	−	1.01600i	0.982100	−	0.188362i	$-0.0603177\pi$
$164$	−2.15744	−	0.208401i	−0.168468	−	0.0162734i
$165$	−0.240816	+	0.191587i	−0.0187475	+	0.0149150i
$166$	−1.23053	+	0.739124i	−0.0955080	+	0.0573672i
$167$	1.86963	+	4.51368i	0.144676	+	0.349279i	0.979562	−	0.201145i	$-0.0644662\pi$
$167$	1.86963	+	4.51368i	0.144676	+	0.349279i	−0.834885	+	0.550424i	$0.814466\pi$
$168$	−0.0272411	−	0.524372i	−0.00210169	−	0.0404562i
$169$			15.7258i			1.20968i
$170$	−0.328154	+	13.0343i	−0.0251683	+	0.999683i
$171$	11.1697			0.854167
$172$	9.05518	+	4.81826i	0.690451	+	0.367389i
$173$	11.4445	−	4.74045i	0.870106	−	0.360410i	0.0974547	−	0.995240i	$-0.468930\pi$
$173$	11.4445	−	4.74045i	0.870106	−	0.360410i	0.772652	+	0.634830i	$0.218930\pi$
$174$	−0.159807	+	0.0959887i	−0.0121150	+	0.00727689i
$175$	15.1810	−	21.2906i	1.14758	−	1.60942i
$176$	12.9264	+	8.56711i	0.974362	+	0.645770i
$177$	−0.0362180	−	0.0150020i	−0.00272231	−	0.00112762i
$178$	15.7676	−	9.47088i	1.18183	−	0.709873i
$179$	6.29582	−	6.29582i	0.470572	−	0.470572i	−0.431528	−	0.902100i	$-0.642025\pi$
$179$	6.29582	−	6.29582i	0.470572	−	0.470572i	0.902100	+	0.431528i	$0.142025\pi$
$180$	13.1867	−	2.44102i	0.982882	−	0.181943i
$181$	−7.76237	−	18.7400i	−0.576972	−	1.39293i	−0.895517	−	0.445027i	$-0.853194\pi$
$181$	−7.76237	−	18.7400i	−0.576972	−	1.39293i	0.318545	−	0.947908i	$-0.396806\pi$
$182$	−23.5835	+	31.8611i	−1.74812	+	2.36170i
$183$	0.213778	+	0.213778i	0.0158029	+	0.0158029i
$184$	−9.18534	−	3.25742i	−0.677152	−	0.240140i
$185$	−3.23257	+	0.927222i	−0.237663	+	0.0681707i
$186$	0.0820546	−	0.0492863i	0.00601653	−	0.00361385i
$187$	−15.9561	−	0.958682i	−1.16683	−	0.0701057i
$188$	0.429266	+	1.40560i	0.0313075	+	0.102514i
$189$	0.787454	−	0.787454i	0.0572788	−	0.0572788i
$190$	−4.12578	+	11.0326i	−0.299315	+	0.800391i
$191$	−13.1658			−0.952647			−0.476323	−	0.879270i	$-0.658031\pi$
$191$	−13.1658			−0.952647			−0.476323	+	0.879270i	$0.658031\pi$
$192$	0.135276	+	0.249691i	0.00976272	+	0.0180199i
$193$	10.7089	+	4.43576i	0.770842	+	0.319293i	0.733213	−	0.679999i	$-0.238020\pi$
$193$	10.7089	+	4.43576i	0.770842	+	0.319293i	0.0376285	+	0.999292i	$0.488020\pi$
$194$	−12.5293	−	9.27412i	−0.899549	−	0.665843i
$195$	0.372101	+	0.206218i	0.0266467	+	0.0147675i
$196$	−38.9256	+	11.8878i	−2.78040	+	0.849128i
$197$	2.35271	−	5.67996i	0.167624	−	0.404680i	−0.817638	−	0.575733i	$-0.804717\pi$
$197$	2.35271	−	5.67996i	0.167624	−	0.404680i	0.985262	+	0.171053i	$0.0547168\pi$
$198$	2.42772	+	16.2612i	0.172531	+	1.15563i
$199$	5.62116	−	13.5707i	0.398473	−	0.962000i	−0.589555	−	0.807728i	$-0.700697\pi$
$199$	5.62116	−	13.5707i	0.398473	−	0.962000i	0.988028	−	0.154272i	$-0.0493031\pi$
$200$	−2.45975	+	13.9266i	−0.173931	+	0.984758i
$201$	−0.273313	−	0.113210i	−0.0192780	−	0.00798520i
$202$	10.4810	+	17.4494i	0.737441	+	1.22773i
$203$	13.7322	+	13.7322i	0.963814	+	0.963814i
$204$	−0.249704	−	0.152754i	−0.0174828	−	0.0106949i
$205$	2.32938	−	0.668154i	0.162691	−	0.0466659i
$206$	−2.88009	+	11.5439i	−0.200666	+	0.804304i
$207$	−3.95414	−	9.54614i	−0.274832	−	0.663503i
$208$	4.10349	−	21.0422i	0.284526	−	1.45901i
$209$	−13.3414	−	5.52621i	−0.922847	−	0.382256i
$210$	0.243413	+	0.534215i	0.0167971	+	0.0368644i
$211$	6.15039	+	14.8484i	0.423410	+	1.02220i	0.981334	+	0.192311i	$0.0615981\pi$
$211$	6.15039	+	14.8484i	0.423410	+	1.02220i	−0.557924	+	0.829892i	$0.688402\pi$
$212$	−6.37645	−	3.39291i	−0.437936	−	0.233026i
$213$	−0.528326			−0.0362003
$214$	2.53189	+	1.87410i	0.173077	+	0.128111i
$215$	−11.3944	−	1.29725i	−0.777090	−	0.0884714i
$216$	−0.201308	+	0.567651i	−0.0136972	+	0.0386237i
$217$	−7.05095	−	7.05095i	−0.478650	−	0.478650i
$218$	15.5806	+	11.5327i	1.05525	+	0.781095i
$219$	−0.245797	−	0.245797i	−0.0166094	−	0.0166094i
$220$	−16.9584	−	3.60851i	−1.14333	−	0.243286i
$221$	7.21701	+	20.8867i	0.485469	+	1.40499i
$222$	0.0182763	−	0.0732545i	0.00122662	−	0.00491652i
$223$			13.0756i			0.875608i	0.899070	+	0.437804i	$0.144244\pi$
$223$			13.0756i			0.875608i	−0.899070	+	0.437804i	$0.855756\pi$
$224$	21.8267	−	19.9700i	1.45836	−	1.33430i
$225$	−12.7140	+	7.94761i	−0.847602	+	0.529841i
$226$	−14.4651	+	2.15958i	−0.962207	+	0.143653i
$227$	−3.03485	+	7.32678i	−0.201430	+	0.486295i	−0.992025	−	0.126045i	$-0.959772\pi$
$227$	−3.03485	+	7.32678i	−0.201430	+	0.486295i	0.790594	+	0.612340i	$0.209772\pi$
$228$	−0.168144	−	0.204102i	−0.0111356	−	0.0135170i
$229$	9.79726	+	9.79726i	0.647421	+	0.647421i	0.952369	−	0.304948i	$-0.0986391\pi$
$229$	9.79726	+	9.79726i	0.647421	+	0.647421i	−0.304948	+	0.952369i	$0.598639\pi$
$230$	10.8896	−	0.379538i	0.718036	−	0.0250260i
$231$	−0.664938	+	0.275426i	−0.0437497	+	0.0181217i
$232$	−9.89914	−	3.51056i	−0.649910	−	0.230479i
$233$	17.5019	−	7.24951i	1.14659	−	0.474931i	0.273198	−	0.961958i	$-0.411918\pi$
$233$	17.5019	−	7.24951i	1.14659	−	0.474931i	0.873387	+	0.487026i	$0.161918\pi$
$234$	19.4848	−	11.7036i	1.27376	−	0.765088i
$235$	−1.02300	−	1.28586i	−0.0667331	−	0.0838803i
$236$	−0.645122	−	2.11240i	−0.0419939	−	0.137506i
$237$	−0.0731587	−	0.0731587i	−0.00475217	−	0.00475217i
$238$	−9.14295	+	29.0915i	−0.592650	+	1.88572i
$239$	2.74482			0.177548			0.0887739	−	0.996052i	$-0.471705\pi$
$239$	2.74482			0.177548			0.0887739	+	0.996052i	$0.471705\pi$
$240$	−0.243113	−	0.204213i	−0.0156929	−	0.0131819i
$241$	−16.5587	−	6.85884i	−1.06664	−	0.441817i	−0.220836	−	0.975311i	$-0.570879\pi$
$241$	−16.5587	−	6.85884i	−1.06664	−	0.441817i	−0.845804	+	0.533494i	$0.820879\pi$
$242$	1.37976	−	5.53034i	0.0886945	−	0.355504i
$243$	−0.884985	+	0.366573i	−0.0567718	+	0.0235156i
$244$	−1.63776	+	16.9547i	−0.104847	+	1.08542i
$245$	35.6097	−	28.3302i	2.27502	−	1.80995i
$246$	−0.0131698	+	0.0527871i	−0.000839678	+	0.00336558i
$247$			19.9636i			1.27025i
$248$	5.08281	+	1.80253i	0.322759	+	0.114461i
$249$	0.0137884	+	0.0332881i	0.000873802	+	0.00210955i
$250$	−3.15387	−	15.4936i	−0.199468	−	0.979904i
$251$		−	17.9374i		−	1.13220i	−0.824337	−	0.566100i	$-0.808452\pi$
$251$		−	17.9374i		−	1.13220i	0.824337	−	0.566100i	$-0.191548\pi$
$252$	31.2199	+	3.01573i	1.96667	+	0.189973i
$253$			13.3585i			0.839845i
$254$	−3.20562	−	5.33689i	−0.201139	−	0.334866i
$255$	0.322366	+	0.0564560i	0.0201874	+	0.00353541i
$256$	−6.01177	+	14.8276i	−0.375736	+	0.926727i
$257$		−	6.20655i		−	0.387154i	−0.981085	−	0.193577i	$-0.937991\pi$
$257$		−	6.20655i		−	0.387154i	0.981085	−	0.193577i	$-0.0620090\pi$
$258$	0.153177	−	0.206941i	0.00953640	−	0.0128836i
$259$	−7.86524			−0.488722
$260$	4.36284	+	23.5687i	0.270572	+	1.46167i
$261$	−4.26142	−	10.2880i	−0.263775	−	0.636810i
$262$	3.03750	+	20.3456i	0.187658	+	1.25696i
$263$	27.0986			1.67097			0.835486	−	0.549512i	$-0.185186\pi$
$263$	27.0986			1.67097			0.835486	+	0.549512i	$0.185186\pi$
$264$	0.260592	−	0.289151i	0.0160383	−	0.0177960i
$265$	8.02366	+	0.913490i	0.492890	+	0.0561153i
$266$	−16.3898	+	22.1425i	−1.00492	+	1.35765i
$267$	−0.176679	−	0.426542i	−0.0108126	−	0.0261039i
$268$	−4.86830	−	15.9408i	−0.297379	−	0.973742i
$269$	−18.7038	−	7.74736i	−1.14039	−	0.472365i	−0.269089	−	0.963115i	$-0.586723\pi$
$269$	−18.7038	−	7.74736i	−1.14039	−	0.472365i	−0.871300	+	0.490751i	$0.836723\pi$
$270$	−0.0234553	−	0.672971i	−0.00142745	−	0.0409557i
$271$		−	0.635539i		−	0.0386063i	−0.999814	−	0.0193031i	$-0.993855\pi$
$271$		−	0.635539i		−	0.0386063i	0.999814	−	0.0193031i	$-0.00614476\pi$
$272$	−2.30293	−	16.3308i	−0.139636	−	0.990203i
$273$	0.703560	+	0.703560i	0.0425814	+	0.0425814i
$274$	4.62251	−	18.5278i	0.279256	−	1.11931i
$275$	19.1181	−	3.20262i	1.15287	−	0.193125i
$276$	−0.114911	+	0.215958i	−0.00691683	+	0.0129991i
$277$	−9.96895	+	4.12927i	−0.598976	+	0.248104i	−0.661507	−	0.749939i	$-0.730083\pi$
$277$	−9.96895	+	4.12927i	−0.598976	+	0.248104i	0.0625309	+	0.998043i	$0.480083\pi$
$278$	−1.68659	−	11.2970i	−0.101155	−	0.677550i
$279$	2.18807	+	5.28246i	0.130996	+	0.316253i
$280$	−14.5105	+	29.7229i	−0.867169	+	1.77628i
$281$	16.0075	+	16.0075i	0.954930	+	0.954930i	0.999027	−	0.0440975i	$-0.0140412\pi$
$281$	16.0075	+	16.0075i	0.954930	+	0.954930i	−0.0440975	+	0.999027i	$0.514041\pi$
$282$	0.0364857	−	0.00544714i	0.00217269	−	0.000324372i
$283$	11.9723	+	4.95909i	0.711680	+	0.294787i	0.708999	−	0.705209i	$-0.249147\pi$
$283$	11.9723	+	4.95909i	0.711680	+	0.294787i	0.00268022	+	0.999996i	$0.499147\pi$
$284$	−18.9270	−	22.9745i	−1.12311	−	1.36329i
$285$	0.258599	+	0.143315i	0.0153181	+	0.00848925i
$286$	−29.0636	+	4.33906i	−1.71857	+	0.256574i
$287$	5.66768			0.334553
$288$	−15.9448	+	5.78970i	−0.939558	+	0.341161i
$289$	10.4951	+	13.3736i	0.617356	+	0.786684i
$290$	11.7358	−	0.409032i	0.689149	−	0.0240192i
$291$	−0.276672	+	0.276672i	−0.0162188	+	0.0162188i
$292$	1.88307	−	19.4942i	0.110198	−	1.14081i
$293$	−6.63836	−	6.63836i	−0.387817	−	0.387817i	0.486091	−	0.873908i	$-0.338422\pi$
$293$	−6.63836	−	6.63836i	−0.387817	−	0.387817i	−0.873908	+	0.486091i	$0.838422\pi$
$294$	0.150849	+	1.01041i	0.00879770	+	0.0589281i
$295$	1.53741	+	1.93246i	0.0895116	+	0.112512i
$296$	3.84025	−	1.82955i	0.223210	−	0.106341i
$297$	0.825554			0.0479035
$298$	7.46517	+	12.4284i	0.432445	+	0.719958i
$299$	17.0618	−	7.06723i	0.986710	−	0.408709i
$300$	0.336618	+	0.112681i	0.0194346	+	0.00650565i
$301$	−24.7798	−	10.2641i	−1.42828	−	0.591615i
$302$	−33.2153	−	8.28687i	−1.91132	−	0.476856i
$303$	0.472035	−	0.195523i	0.0271177	−	0.0112325i
$304$	2.85180	−	14.6237i	0.163562	−	0.838727i
$305$	−5.25085	−	18.3060i	−0.300663	−	1.04820i
$306$	11.2271	−	13.4051i	0.641810	−	0.766316i
$307$	−4.28651	+	4.28651i	−0.244644	+	0.244644i	−0.818768	−	0.574124i	$-0.805343\pi$
$307$	−4.28651	+	4.28651i	−0.244644	+	0.244644i	0.574124	+	0.818768i	$0.305343\pi$
$308$	−35.7981	−	19.0482i	−2.03979	−	1.08537i
$309$	0.275910	+	0.114285i	0.0156959	+	0.00650147i
$310$	−6.02586	+	0.210022i	−0.342246	+	0.0119284i
$311$	9.49060	+	3.93114i	0.538163	+	0.222914i	0.635174	−	0.772369i	$-0.280928\pi$
$311$	9.49060	+	3.93114i	0.538163	+	0.222914i	−0.0970114	+	0.995283i	$0.530928\pi$
$312$	−0.507174	−	0.179861i	−0.0287131	−	0.0101826i
$313$	−5.73853	+	13.8540i	−0.324361	+	0.783077i	0.674630	+	0.738156i	$0.264303\pi$
$313$	−5.73853	+	13.8540i	−0.324361	+	0.783077i	−0.998991	+	0.0449203i	$0.985697\pi$
$314$	0.0203326	−	0.0814967i	0.00114743	−	0.00459913i
$315$	−33.7082	+	9.66876i	−1.89924	+	0.544773i
$316$	0.560473	−	5.80222i	0.0315291	−	0.326400i
$317$	22.3713	+	9.26650i	1.25650	+	0.520459i	0.908833	−	0.417160i	$-0.136975\pi$
$317$	22.3713	+	9.26650i	1.25650	+	0.520459i	0.347665	+	0.937619i	$0.386975\pi$
$318$	−0.107864	+	0.145723i	−0.00604871	+	0.00817176i
$319$			14.3967i			0.806058i
$320$	0.170925	−	17.8877i	0.00955500	−	0.999954i
$321$	0.0559095	−	0.0559095i	0.00312056	−	0.00312056i
$322$	24.7262	+	6.16892i	1.37793	+	0.343780i
$323$	5.01561	+	14.5156i	0.279076	+	0.807671i
$324$	−15.8705	−	8.44467i	−0.881692	−	0.469149i
$325$	−14.2048	−	22.7238i	−0.787938	−	1.26049i
$326$	−2.93189	−	19.6382i	−0.162382	−	1.08766i
$327$	0.344053	−	0.344053i	0.0190262	−	0.0190262i
$328$	−2.76728	+	1.31837i	−0.152797	+	0.0727950i
$329$	−1.47067	−	3.55050i	−0.0810804	−	0.195745i
$330$	−0.152436	+	0.407626i	−0.00839135	+	0.0224391i
$331$	13.4516	+	13.4516i	0.739365	+	0.739365i	0.972455	−	0.233090i	$-0.0748837\pi$
$331$	13.4516	+	13.4516i	0.739365	+	0.739365i	−0.233090	+	0.972455i	$0.574884\pi$
$332$	−0.953589	+	1.79212i	−0.0523350	+	0.0983555i
$333$	4.16664	+	1.72588i	0.228331	+	0.0945776i
$334$	5.55341	+	4.11062i	0.303869	+	0.224923i
$335$	11.6018	+	14.5829i	0.633874	+	0.796750i
$336$	−0.414867	−	0.615875i	−0.0226329	−	0.0335987i
$337$	−6.12728	+	2.53800i	−0.333774	+	0.138254i	−0.543275	−	0.839555i	$-0.682816\pi$
$337$	−6.12728	+	2.53800i	−0.333774	+	0.138254i	0.209501	+	0.977808i	$0.432816\pi$
$338$	11.4514	+	19.0648i	0.622872	+	1.03699i
$339$			0.367108i			0.0199386i
$340$	9.09359	+	16.0408i	0.493169	+	0.869933i
$341$		−	7.39210i		−	0.400305i
$342$	13.5413	−	8.13365i	0.732231	−	0.439817i
$343$	64.5034	−	26.7182i	3.48286	−	1.44265i
$344$	14.4865	−	0.752569i	0.781057	−	0.0405758i
$345$	0.0309381	−	0.271745i	0.00166565	−	0.0146303i
$346$	10.4225	−	14.0807i	0.560317	−	0.756984i
$347$	−26.4182	−	10.9428i	−1.41820	−	0.587438i	−0.463794	−	0.885943i	$-0.653512\pi$
$347$	−26.4182	−	10.9428i	−1.41820	−	0.587438i	−0.954408	+	0.298505i	$0.903512\pi$
$348$	−0.123841	+	0.232740i	−0.00663857	+	0.0124762i
$349$	−11.3173	−	11.3173i	−0.605801	−	0.605801i	0.336045	−	0.941846i	$-0.390911\pi$
$349$	−11.3173	−	11.3173i	−0.605801	−	0.605801i	−0.941846	+	0.336045i	$0.890911\pi$
$350$	2.90076	−	36.8659i	0.155052	−	1.97057i
$351$	−0.436753	−	1.05441i	−0.0233121	−	0.0562805i
$352$	21.9095	+	0.973299i	1.16778	+	0.0518770i
$353$	3.74286	−	3.74286i	0.199213	−	0.199213i	−0.600450	−	0.799662i	$-0.705012\pi$
$353$	3.74286	−	3.74286i	0.199213	−	0.199213i	0.799662	+	0.600450i	$0.205012\pi$
$354$	−0.0548324	+	0.00818623i	−0.00291431	+	0.000435093i
$355$	29.1089	+	16.1321i	1.54494	+	0.856204i
$356$	12.2190	−	22.9636i	0.647603	−	1.21707i
$357$	0.688323	+	0.334801i	0.0364299	+	0.0177196i
$358$	3.04805	−	12.2172i	0.161095	−	0.645697i
$359$	10.8900	−	10.8900i	0.574751	−	0.574751i	−0.358701	−	0.933452i	$-0.616780\pi$
$359$	10.8900	−	10.8900i	0.574751	−	0.574751i	0.933452	+	0.358701i	$0.116780\pi$
$360$	14.2091	−	12.5618i	0.748887	−	0.662063i
$361$		−	5.12591i		−	0.269785i
$362$	−23.0568	−	17.0666i	−1.21184	−	0.897000i
$363$	−0.132180	−	0.0547506i	−0.00693763	−	0.00287366i
$364$	−5.39002	+	55.7994i	−0.282514	+	2.92468i
$365$	6.03731	+	21.0478i	0.316007	+	1.10169i
$366$	0.414840	+	0.103498i	0.0216840	+	0.00540994i
$367$	−8.57708	+	20.7069i	−0.447720	+	1.08089i	0.525454	+	0.850822i	$0.323895\pi$
$367$	−8.57708	+	20.7069i	−0.447720	+	1.08089i	−0.973174	+	0.230070i	$0.926105\pi$
$368$	−13.5077	+	2.73960i	−0.704136	+	0.142812i
$369$	−3.00247	−	1.24367i	−0.156303	−	0.0647426i
$370$	−3.24374	+	3.47802i	−0.168634	+	0.180814i
$371$	17.4494	+	7.22776i	0.905926	+	0.375247i
$372$	0.0635873	−	0.119502i	0.00329685	−	0.00619592i
$373$	−11.4203	+	11.4203i	−0.591319	+	0.591319i	−0.937988	−	0.346669i	$-0.887313\pi$
$373$	−11.4203	+	11.4203i	−0.591319	+	0.591319i	0.346669	+	0.937988i	$0.387313\pi$
$374$	−20.0422	+	10.4568i	−1.03636	+	0.540710i
$375$	−0.396327	+	0.0208719i	−0.0204662	+	0.00107782i
$376$	1.54395	+	1.39146i	0.0796233	+	0.0717590i
$377$	18.3877	−	7.61643i	0.947015	−	0.392266i
$378$	0.381237	−	1.52807i	0.0196087	−	0.0785954i
$379$	−14.5914	−	6.04396i	−0.749510	−	0.310457i	−0.0249686	−	0.999688i	$-0.507949\pi$
$379$	−14.5914	−	6.04396i	−0.749510	−	0.310457i	−0.724542	+	0.689231i	$0.757949\pi$
$380$	3.03204	+	16.3795i	0.155541	+	0.840251i
$381$	−0.144372	+	0.0598009i	−0.00739641	+	0.00306369i
$382$	−15.9613	+	9.58722i	−0.816652	+	0.490525i
$383$	−6.72506			−0.343635			−0.171817	−	0.985129i	$-0.554964\pi$
$383$	−6.72506			−0.343635			−0.171817	+	0.985129i	$0.554964\pi$
$384$	0.345822	+	0.204201i	0.0176476	+	0.0104206i
$385$	45.0458	+	5.12844i	2.29575	+	0.261370i
$386$	16.2128	−	2.42049i	0.825207	−	0.123200i
$387$	10.8749	+	10.8749i	0.552803	+	0.552803i
$388$	−21.9429	−	2.11960i	−1.11398	−	0.107607i
$389$	5.32951	−	5.32951i	0.270217	−	0.270217i	−0.558971	−	0.829187i	$-0.688804\pi$
$389$	5.32951	−	5.32951i	0.270217	−	0.270217i	0.829187	+	0.558971i	$0.188804\pi$
$390$	0.601274	−	0.0209564i	0.0304467	−	0.00106117i
$391$	10.6302	−	9.42520i	0.537591	−	0.476653i
$392$	−38.5340	+	42.7571i	−1.94626	+	2.15956i
$393$	0.516348			0.0260463
$394$	−1.28382	−	8.59919i	−0.0646779	−	0.433221i
$395$	1.79694	+	6.26465i	0.0904137	+	0.315209i
$396$	14.7844	+	17.9461i	0.742945	+	0.901824i
$397$	−0.985424	−	0.408176i	−0.0494570	−	0.0204858i	0.357818	−	0.933791i	$-0.383521\pi$
$397$	−0.985424	−	0.408176i	−0.0494570	−	0.0204858i	−0.407275	+	0.913306i	$0.633521\pi$
$398$	−3.06733	−	20.5454i	−0.153751	−	1.02985i
$399$	0.488953	+	0.488953i	0.0244783	+	0.0244783i
$400$	7.15916	+	18.6748i	0.357958	+	0.933738i
$401$	−5.38206	−	12.9934i	−0.268767	−	0.648862i	0.730658	−	0.682743i	$-0.239213\pi$
$401$	−5.38206	−	12.9934i	−0.268767	−	0.648862i	−0.999426	+	0.0338813i	$0.989213\pi$
$402$	−0.413783	+	0.0617759i	−0.0206376	+	0.00308110i
$403$	−9.44134	+	3.91073i	−0.470307	+	0.194807i
$404$	25.4129	+	13.5222i	1.26434	+	0.672754i
$405$	19.9702	+	2.27360i	0.992330	+	0.112976i
$406$	26.6476	+	6.64831i	1.32250	+	0.329950i
$407$	−4.12290	−	4.12290i	−0.204364	−	0.204364i
$408$	−0.413957	−	0.00335605i	−0.0204939	−	0.000166149i
$409$			20.9865i			1.03772i	0.854860	+	0.518858i	$0.173643\pi$
$409$			20.9865i			1.03772i	−0.854860	+	0.518858i	$0.826357\pi$
$410$	2.33744	−	2.50626i	0.115438	−	0.123775i
$411$	−0.442830	−	0.183426i	−0.0218432	−	0.00904776i
$412$	4.91455	+	16.0923i	0.242123	+	0.792811i
$413$	2.21019	+	5.33587i	0.108756	+	0.262561i
$414$	−11.7451	−	8.69370i	−0.577241	−	0.427272i
$415$	0.256740	−	2.25508i	0.0126029	−	0.110697i
$416$	−10.3479	−	28.4982i	−0.507349	−	1.39724i
$417$	−0.286705			−0.0140400
$418$	−20.1983	+	3.01552i	−0.987933	+	0.147494i
$419$	−7.05984	−	17.0440i	−0.344896	−	0.832652i	−0.997206	−	0.0747001i	$-0.976200\pi$
$419$	−7.05984	−	17.0440i	−0.344896	−	0.832652i	0.652310	−	0.757952i	$-0.273800\pi$
$420$	0.684106	+	0.470394i	0.0333809	+	0.0229529i
$421$	−21.0532			−1.02607			−0.513035	−	0.858368i	$-0.671479\pi$
$421$	−21.0532			−1.02607			−0.513035	+	0.858368i	$0.671479\pi$
$422$	18.2687	+	13.5224i	0.889307	+	0.658262i
$423$			2.20360i			0.107143i
$424$	−10.2010	+	0.529941i	−0.495406	+	0.0257362i
$425$	−16.0374	−	12.9538i	−0.777930	−	0.628351i
$426$	−0.640504	+	0.384721i	−0.0310325	+	0.0186398i
$427$		−	44.5408i		−	2.15548i
$428$	4.43419	+	0.428326i	0.214334	+	0.0207039i
$429$			0.737601i			0.0356117i
$430$	−14.7584	+	6.72458i	−0.711712	+	0.324288i
$431$	10.4544	+	25.2391i	0.503570	+	1.21573i	0.947527	+	0.319677i	$0.103574\pi$
$431$	10.4544	+	25.2391i	0.503570	+	1.21573i	−0.443957	+	0.896048i	$0.646426\pi$
$432$	0.169306	+	0.834769i	0.00814576	+	0.0401629i
$433$			10.3594i			0.497843i	0.968524	+	0.248921i	$0.0800760\pi$
$433$			10.3594i			0.497843i	−0.968524	+	0.248921i	$0.919924\pi$
$434$	−13.6825	−	3.41364i	−0.656781	−	0.163860i
$435$	0.0333423	−	0.292863i	0.00159864	−	0.0140417i
$436$	27.2868	+	2.63581i	1.30680	+	0.126232i
$437$	11.8575	−	4.91152i	0.567219	−	0.234950i
$438$	−0.476973	−	0.119000i	−0.0227907	−	0.00568604i
$439$	−16.5053	−	6.83673i	−0.787756	−	0.326299i	−0.0477150	−	0.998861i	$-0.515194\pi$
$439$	−16.5053	−	6.83673i	−0.787756	−	0.326299i	−0.740041	+	0.672562i	$0.765194\pi$
$440$	−23.1868	+	7.97422i	−1.10539	+	0.380156i
$441$	−61.0249			−2.90595
$442$	23.9588	+	20.0662i	1.13961	+	0.954450i
$443$	−12.3296	−	12.3296i	−0.585796	−	0.585796i	0.350694	−	0.936490i	$-0.385946\pi$
$443$	−12.3296	−	12.3296i	−0.585796	−	0.585796i	−0.936490	+	0.350694i	$0.885946\pi$
$444$	−0.0311863	−	0.102117i	−0.00148004	−	0.00484627i
$445$	−3.28977	+	28.8958i	−0.155950	+	1.36979i
$446$	9.52152	+	15.8519i	0.450857	+	0.750611i
$447$	0.336210	−	0.139263i	0.0159022	−	0.00658690i
$448$	11.9193	−	40.1042i	0.563132	−	1.89474i
$449$	9.69145	−	4.01433i	0.457368	−	0.189448i	−0.142091	−	0.989854i	$-0.545383\pi$
$449$	9.69145	−	4.01433i	0.457368	−	0.189448i	0.599459	+	0.800406i	$0.295383\pi$
$450$	−9.62621	+	18.8933i	−0.453784	+	0.890640i
$451$	2.97095	+	2.97095i	0.139897	+	0.139897i
$452$	−15.9639	+	13.1515i	−0.750879	+	0.618593i
$453$	−0.328832	+	0.793872i	−0.0154499	+	0.0372993i
$454$	1.65604	+	11.0924i	0.0777220	+	0.520592i
$455$	−17.2810	−	60.2466i	−0.810144	−	2.82440i
$456$	−0.352471	−	0.124998i	−0.0165060	−	0.00585356i
$457$			22.4971i			1.05237i	0.850371	+	0.526184i	$0.176378\pi$
$457$			22.4971i			1.05237i	−0.850371	+	0.526184i	$0.823622\pi$
$458$	19.0118	+	4.74324i	0.888361	+	0.221637i
$459$	−0.582474	−	0.656941i	−0.0271876	−	0.0306634i
$460$	12.9253	−	8.38978i	0.602647	−	0.391176i
$461$	−23.8882	−	23.8882i	−1.11259	−	1.11259i	−0.992800	−	0.119787i	$-0.961779\pi$
$461$	−23.8882	−	23.8882i	−1.11259	−	1.11259i	−0.119787	−	0.992800i	$-0.538221\pi$
$462$	−0.605560	+	0.818107i	−0.0281732	+	0.0380618i
$463$	14.5492	+	14.5492i	0.676157	+	0.676157i	0.959128	−	0.282971i	$-0.0913202\pi$
$463$	14.5492	+	14.5492i	0.676157	+	0.676157i	−0.282971	+	0.959128i	$0.591320\pi$
$464$	−14.5574	+	2.95250i	−0.675808	+	0.137066i
$465$	−0.0171199	+	0.150373i	−0.000793918	+	0.00697340i
$466$	15.9390	−	21.5335i	0.738360	−	0.997518i
$467$	26.8827			1.24398			0.621992	−	0.783024i	$-0.286324\pi$
$467$	26.8827			1.24398			0.621992	+	0.783024i	$0.286324\pi$
$468$	15.0995	−	28.3772i	0.697975	−	1.31174i
$469$	16.6788	+	40.2661i	0.770154	+	1.85932i
$470$	−2.17656	−	0.813950i	−0.100397	−	0.0375447i
$471$	−0.00194784		0.000806821i	−8.97516e−5		3.71763e-5i
$472$	−2.32033	−	2.09115i	−0.106802	−	0.0962531i
$473$	−7.60900	−	18.3697i	−0.349862	−	0.844642i
$474$	−0.141966	−	0.0354190i	−0.00652070	−	0.00162685i
$475$	−9.87188	−	15.7923i	−0.452953	−	0.724602i
$476$	10.0998	+	41.9262i	0.462925	+	1.92168i
$477$	−7.65787	−	7.65787i	−0.350630	−	0.350630i
$478$	3.32763	−	1.99875i	0.152202	−	0.0914207i
$479$	−26.2147	−	10.8585i	−1.19778	−	0.496138i	−0.307501	−	0.951548i	$-0.599493\pi$
$479$	−26.2147	−	10.8585i	−1.19778	−	0.496138i	−0.890282	+	0.455410i	$0.849493\pi$
$480$	−0.443438	−	0.0705412i	−0.0202401	−	0.00321975i
$481$	−3.08466	+	7.44703i	−0.140648	+	0.339556i
$482$	−25.0691	+	3.74271i	−1.14187	+	0.170476i
$483$	0.244790	−	0.590975i	0.0111383	−	0.0268903i
$484$	−2.35441	−	7.70932i	−0.107019	−	0.350424i
$485$	23.6917	−	6.79567i	1.07579	−	0.308576i
$486$	−0.805958	+	1.08884i	−0.0365590	+	0.0493909i
$487$	−8.57770	−	3.55300i	−0.388693	−	0.161002i	0.179774	−	0.983708i	$-0.442463\pi$
$487$	−8.57770	−	3.55300i	−0.388693	−	0.161002i	−0.568467	+	0.822706i	$0.692463\pi$
$488$	10.3607	+	21.7473i	0.469009	+	0.984454i
$489$	−0.498395			−0.0225382
$490$	22.5409	−	60.2761i	1.01830	−	2.72300i
$491$	23.0290	−	23.0290i	1.03929	−	1.03929i	0.0400892	−	0.999196i	$-0.487236\pi$
$491$	23.0290	−	23.0290i	1.03929	−	1.03929i	0.999196	−	0.0400892i	$-0.0127642\pi$
$492$	0.0224728	+	0.0735854i	0.00101315	+	0.00331749i
$493$	11.4563	−	10.1576i	0.515964	−	0.457477i
$494$	14.5373	+	24.2024i	0.654062	+	1.08892i
$495$	−22.7378	−	12.6013i	−1.02199	−	0.566384i
$496$	7.47462	−	1.51599i	0.335620	−	0.0680699i
$497$	55.0385	+	55.0385i	2.46882	+	2.46882i
$498$	0.0409560	+	0.0303155i	0.00183528	+	0.00135847i
$499$	−3.75111	−	9.05598i	−0.167923	−	0.405401i	0.817408	−	0.576060i	$-0.195410\pi$
$499$	−3.75111	−	9.05598i	−0.167923	−	0.405401i	−0.985330	+	0.170659i	$0.945410\pi$
$500$	−15.1058	−	16.4868i	−0.675554	−	0.737311i
$501$	0.122631	−	0.122631i	0.00547875	−	0.00547875i
$502$	−13.0618	−	21.7460i	−0.582978	−	0.970574i
$503$	−5.40706	−	2.23968i	−0.241089	−	0.0998624i	0.258867	−	0.965913i	$-0.416651\pi$
$503$	−5.40706	−	2.23968i	−0.241089	−	0.0998624i	−0.499957	+	0.866050i	$0.666651\pi$
$504$	40.0449	−	19.0780i	1.78374	−	0.849800i
$505$	−31.9777	−	3.64065i	−1.42299	−	0.162007i
$506$	9.72755	+	16.1949i	0.432442	+	0.719953i
$507$	0.515736	−	0.213625i	0.0229047	−	0.00948742i
$508$	−7.77253	−	4.13577i	−0.344850	−	0.183495i
$509$	−16.3006			−0.722510			−0.361255	−	0.932467i	$-0.617652\pi$
$509$	−16.3006			−0.722510			−0.361255	+	0.932467i	$0.617652\pi$
$510$	0.431924	−	0.166300i	0.0191259	−	0.00736391i
$511$			51.2120i			2.26549i
$512$	3.50908	+	22.3537i	0.155081	+	0.987902i
$513$	−0.303530	−	0.732787i	−0.0134012	−	0.0323533i
$514$	−4.51955	−	7.52438i	−0.199349	−	0.331886i
$515$	−11.7120	−	14.7215i	−0.516094	−	0.648706i
$516$	0.0350087	−	0.362423i	0.00154117	−	0.0159548i
$517$	1.09023	−	2.63205i	0.0479484	−	0.115758i
$518$	−9.53526	+	5.72739i	−0.418955	+	0.251647i
$519$	−0.310932	−	0.310932i	−0.0136484	−	0.0136484i
$520$	22.4516	+	25.3960i	0.984569	+	1.11369i
$521$	−1.82662	+	0.756612i	−0.0800258	+	0.0331478i	−0.422337	−	0.906439i	$-0.638790\pi$
$521$	−1.82662	+	0.756612i	−0.0800258	+	0.0331478i	0.342311	+	0.939587i	$0.388790\pi$
$522$	−12.6578	−	9.36929i	−0.554019	−	0.410083i
$523$	−13.6333	+	13.6333i	−0.596144	+	0.596144i	−0.939284	−	0.343140i	$-0.888510\pi$
$523$	−13.6333	+	13.6333i	−0.596144	+	0.596144i	0.343140	+	0.939284i	$0.388510\pi$
$524$	18.4979	+	22.4537i	0.808085	+	0.980893i
$525$	−0.904464	−	0.208650i	−0.0394740	−	0.00910623i
$526$	32.8524	−	19.7329i	1.43243	−	0.860396i
$527$	−5.88233	+	5.21554i	−0.256238	+	0.227192i
$528$	0.105367	−	0.540307i	0.00458549	−	0.0235138i
$529$	7.86823	+	7.86823i	0.342097	+	0.342097i
$530$	10.3925	−	4.73529i	0.451422	−	0.205688i
$531$		−	3.31168i		−	0.143715i
$532$	−3.74590	+	38.7789i	−0.162405	+	1.68128i
$533$	2.22280	−	5.36632i	0.0962802	−	0.232441i
$534$	−0.524797	−	0.388453i	−0.0227102	−	0.0168100i
$535$	−4.78759	+	1.37326i	−0.206985	+	0.0593711i
$536$	−17.5099	−	15.7805i	−0.756313	−	0.681613i
$537$	−0.292000	−	0.120950i	−0.0126007	−	0.00521939i
$538$	−28.3167	+	4.22755i	−1.22082	+	0.182262i
$539$	72.8902	+	30.1921i	3.13960	+	1.30047i
$540$	−0.518486	−	0.798782i	−0.0223121	−	0.0343741i
$541$	−2.62610	+	6.33997i	−0.112905	+	0.272576i	−0.970224	−	0.242208i	$-0.922128\pi$
$541$	−2.62610	+	6.33997i	−0.112905	+	0.272576i	0.857319	+	0.514785i	$0.172128\pi$
$542$	−0.462793	−	0.770482i	−0.0198787	−	0.0330950i
$543$	−0.509143	+	0.509143i	−0.0218494	+	0.0218494i
$544$	−14.6839	−	18.1214i	−0.629565	−	0.776948i
$545$	−29.4616	+	8.45068i	−1.26200	+	0.361987i
$546$	1.36527	+	0.340621i	0.0584282	+	0.0145772i
$547$	−19.8449	+	8.22001i	−0.848505	+	0.351462i	−0.764201	−	0.644978i	$-0.776867\pi$
$547$	−19.8449	+	8.22001i	−0.848505	+	0.351462i	−0.0843035	+	0.996440i	$0.526867\pi$
$548$	−7.88778	−	25.8279i	−0.336949	−	1.10331i
$549$	−9.77363	+	23.5956i	−0.417129	+	1.00704i
$550$	20.8454	−	17.8043i	0.888849	−	0.759176i
$551$	12.7789	−	5.29320i	0.544400	−	0.225498i
$552$	0.0179481	+	0.345488i	0.000763920	+	0.0147050i
$553$			15.2427i			0.648184i
$554$	−9.07875	+	12.2653i	−0.385719	+	0.521103i
$555$	0.0743212	+	0.0934183i	0.00315476	+	0.00396539i
$556$	−10.2711	−	12.4675i	−0.435590	−	0.528741i
$557$	−0.937247	+	0.937247i	−0.0397124	+	0.0397124i	−0.726684	−	0.686972i	$-0.758940\pi$
$557$	−0.937247	+	0.937247i	−0.0397124	+	0.0397124i	0.686972	+	0.726684i	$0.258940\pi$
$558$	6.49929	+	4.81075i	0.275137	+	0.203655i
$559$	−19.4367	+	19.4367i	−0.822086	+	0.822086i
$560$	4.05240	+	46.6004i	0.171245	+	1.96922i
$561$	0.185313	+	0.536313i	0.00782394	+	0.0226432i
$562$	31.0629	+	7.74988i	1.31031	+	0.326909i
$563$	11.7967			0.497172			0.248586	−	0.968610i	$-0.420034\pi$
$563$	11.7967			0.497172			0.248586	+	0.968610i	$0.420034\pi$
$564$	0.0402661	−	0.0331722i	0.00169551	−	0.00139680i
$565$	11.2094	−	20.2264i	0.471585	−	0.850932i
$566$	18.1255	−	2.70606i	0.761873	−	0.113744i
$567$	43.4301	+	17.9893i	1.82389	+	0.755481i
$568$	−39.6756	−	14.0702i	−1.66475	−	0.590374i
$569$	−1.96457	+	1.96457i	−0.0823591	+	0.0823591i	−0.747086	−	0.664727i	$-0.768548\pi$
$569$	−1.96457	+	1.96457i	−0.0823591	+	0.0823591i	0.664727	+	0.747086i	$0.268548\pi$
$570$	0.417867	−	0.0145641i	0.0175025	−	0.000610023i
$571$	−4.06255	−	9.80786i	−0.170012	−	0.410446i	0.815792	−	0.578346i	$-0.196302\pi$
$571$	−4.06255	−	9.80786i	−0.170012	−	0.410446i	−0.985804	+	0.167900i	$0.946302\pi$
$572$	−32.0750	+	26.4242i	−1.34112	+	1.10485i
$573$	0.178850	+	0.431781i	0.00747155	+	0.0180379i
$574$	6.87109	−	4.12714i	0.286794	−	0.172264i
$575$	−10.0022	+	14.0276i	−0.417119	+	0.584990i
$576$	−15.1144	+	18.6299i	−0.629765	+	0.776245i
$577$	−23.6219	+	23.6219i	−0.983392	+	0.983392i	−0.999864	−	0.0164720i	$-0.994757\pi$
$577$	−23.6219	+	23.6219i	−0.983392	+	0.983392i	0.0164720	+	0.999864i	$0.494757\pi$
$578$	22.4620	+	8.57083i	0.934295	+	0.356500i
$579$		−	0.411461i		−	0.0170997i
$580$	13.9298	−	9.04176i	0.578403	−	0.375439i
$581$	2.03139	−	4.90421i	0.0842762	−	0.203461i
$582$	−0.133948	+	0.536888i	−0.00555232	+	0.0222547i
$583$	5.35808	+	12.9356i	0.221909	+	0.535736i
$584$	−11.9126	−	25.0046i	−0.492945	−	1.03470i
$585$	−4.06532	+	35.7078i	−0.168080	+	1.47634i
$586$	−12.8818	−	3.21389i	−0.532144	−	0.132765i
$587$	13.4282			0.554240			0.277120	−	0.960835i	$-0.410620\pi$
$587$	13.4282			0.554240			0.277120	+	0.960835i	$0.410620\pi$
$588$	0.918646	+	1.11510i	0.0378843	+	0.0459859i
$589$	−6.56145	+	2.71784i	−0.270360	+	0.111987i
$590$	3.27104	+	1.22324i	0.134667	+	0.0503601i
$591$	−0.218238			−0.00897710
$592$	3.32339	−	5.01445i	0.136590	−	0.206093i
$593$	−7.75557			−0.318483			−0.159242	−	0.987240i	$-0.550905\pi$
$593$	−7.75557			−0.318483			−0.159242	+	0.987240i	$0.550905\pi$
$594$	1.00084	−	0.601159i	0.0410651	−	0.0246659i
$595$	−27.7013	−	39.4640i	−1.13564	−	1.61786i
$596$	18.1005	+	9.63126i	0.741424	+	0.394512i
$597$	−0.521418			−0.0213402
$598$	15.5382	−	20.9920i	0.635406	−	0.858428i
$599$		−	11.7777i		−	0.481224i	−0.970621	−	0.240612i	$-0.922652\pi$
$599$		−	11.7777i		−	0.481224i	0.970621	−	0.240612i	$-0.0773481\pi$
$600$	0.490144	−	0.108515i	0.0200101	−	0.00443010i
$601$	−34.4961	+	14.2888i	−1.40713	+	0.582850i	−0.951591	−	0.307368i	$-0.900552\pi$
$601$	−34.4961	+	14.2888i	−1.40713	+	0.582850i	−0.455535	+	0.890218i	$0.650552\pi$
$602$	−37.5155	+	5.60089i	−1.52902	+	0.228275i
$603$		−	24.9910i		−	1.01771i
$604$	−46.3022	+	14.1406i	−1.88401	+	0.575373i
$605$	5.61087	+	7.05260i	0.228114	+	0.286729i
$606$	0.429884	−	0.580769i	0.0174628	−	0.0235921i
$607$	−6.12678	+	2.53779i	−0.248678	+	0.103006i	−0.503541	−	0.863971i	$-0.667970\pi$
$607$	−6.12678	+	2.53779i	−0.248678	+	0.103006i	0.254863	+	0.966977i	$0.417970\pi$
$608$	−7.19150	−	19.8054i	−0.291654	−	0.803214i
$609$	0.263813	−	0.636900i	0.0106902	−	0.0258085i
$610$	−19.6960	−	18.3693i	−0.797467	−	0.743751i
$611$	−3.93849			−0.159334
$612$	3.84950	−	24.4268i	0.155607	−	0.987394i
$613$	−29.1967	+	29.1967i	−1.17924	+	1.17924i	−0.199306	+	0.979937i	$0.563869\pi$
$613$	−29.1967	+	29.1967i	−1.17924	+	1.17924i	−0.979937	+	0.199306i	$0.936131\pi$
$614$	−2.07527	+	8.31805i	−0.0837510	+	0.335689i
$615$	−0.0535557	−	0.0673171i	−0.00215958	−	0.00271449i
$616$	−57.2698	+	2.97515i	−2.30746	+	0.119872i
$617$	−5.25700	−	12.6915i	−0.211639	−	0.510942i	0.782036	−	0.623233i	$-0.214181\pi$
$617$	−5.25700	−	12.6915i	−0.211639	−	0.510942i	−0.993675	+	0.112291i	$0.964181\pi$
$618$	0.417714	−	0.0623628i	0.0168029	−	0.00250860i
$619$	13.9224	−	5.76687i	0.559590	−	0.231790i	−0.0849170	−	0.996388i	$-0.527063\pi$
$619$	13.9224	−	5.76687i	0.559590	−	0.231790i	0.644507	+	0.764598i	$0.277063\pi$
$620$	−7.15238	+	4.64258i	−0.287247	+	0.186450i
$621$	−0.518822	+	0.518822i	−0.0208196	+	0.0208196i
$622$	14.3683	−	2.14513i	0.576118	−	0.0860117i
$623$	−26.0295	+	62.8408i	−1.04285	+	2.51766i
$624$	−0.745834	+	0.151269i	−0.0298573	+	0.00605560i
$625$	22.4736	+	10.9516i	0.898943	+	0.438066i
$626$	3.13138	+	20.9744i	0.125155	+	0.838305i
$627$			0.512611i			0.0204717i
$628$	−0.0346953	−	0.113607i	−0.00138449	−	0.00453340i
$629$	−0.371896	+	6.18976i	−0.0148284	+	0.246802i
$630$	−33.8247	+	36.2676i	−1.34761	+	1.44494i
$631$	−26.2239	−	26.2239i	−1.04396	−	1.04396i	−0.998988	−	0.0449669i	$-0.985682\pi$
$631$	−26.2239	−	26.2239i	−1.04396	−	1.04396i	−0.0449669	−	0.998988i	$-0.514318\pi$
$632$	−3.54564	−	7.44233i	−0.141038	−	0.296040i
$633$	0.403411	−	0.403411i	0.0160342	−	0.0160342i
$634$	33.8691	−	5.05651i	1.34512	−	0.200820i
$635$	9.78040	+	1.11349i	0.388123	+	0.0441877i
$636$	−0.0246523	+	0.255210i	−0.000977529	+	0.0101197i
$637$		−	109.070i		−	4.32150i
$638$	10.4835	+	17.4535i	0.415045	+	0.690989i
$639$	−17.0797	−	41.2340i	−0.675662	−	1.63119i
$640$	−12.8184	−	21.8103i	−0.506693	−	0.862127i
$641$	−4.18843	+	10.1118i	−0.165433	+	0.399390i	−0.984756	−	0.173942i	$-0.944350\pi$
$641$	−4.18843	+	10.1118i	−0.165433	+	0.399390i	0.819323	+	0.573332i	$0.194350\pi$
$642$	0.0270680	−	0.108493i	0.00106829	−	0.00428189i
$643$	−18.7882	−	45.3588i	−0.740936	−	1.78878i	−0.602033	−	0.798471i	$-0.705643\pi$
$643$	−18.7882	−	45.3588i	−0.740936	−	1.78878i	−0.138902	−	0.990306i	$-0.544357\pi$
$644$	34.4684	−	10.5266i	1.35824	−	0.414805i
$645$	0.112242	+	0.391308i	0.00441951	+	0.0154077i
$646$	16.6507	+	13.9454i	0.655112	+	0.548674i
$647$	4.24686	+	4.24686i	0.166961	+	0.166961i	0.785642	−	0.618681i	$-0.212333\pi$
$647$	4.24686	+	4.24686i	0.166961	+	0.166961i	−0.618681	+	0.785642i	$0.712333\pi$
$648$	−25.3895	+	1.31898i	−0.997395	+	0.0518145i
$649$	−1.63846	+	3.95558i	−0.0643150	+	0.155270i
$650$	−33.7680	−	17.2049i	−1.32449	−	0.674833i
$651$	−0.135457	+	0.327023i	−0.00530899	+	0.0128170i
$652$	−17.8547	−	21.6730i	−0.699246	−	0.848779i
$653$	6.04118	+	2.50234i	0.236410	+	0.0979241i	0.497743	−	0.867324i	$-0.334162\pi$
$653$	6.04118	+	2.50234i	0.236410	+	0.0979241i	−0.261333	+	0.965249i	$0.584162\pi$
$654$	0.166569	−	0.667640i	0.00651338	−	0.0261068i
$655$	−28.4490	−	15.7664i	−1.11159	−	0.616044i
$656$	−2.39483	+	3.61340i	−0.0935022	+	0.141080i
$657$	11.2375	−	27.1297i	0.438417	−	1.05843i
$658$	−4.36837	−	3.23345i	−0.170297	−	0.126053i
$659$	−41.3713			−1.61160			−0.805798	−	0.592190i	$-0.798263\pi$
$659$	−41.3713			−1.61160			−0.805798	+	0.592190i	$0.798263\pi$
$660$	0.112026	+	0.605179i	0.00436060	+	0.0235566i
$661$	2.07225	+	2.07225i	0.0806012	+	0.0806012i	0.746258	−	0.665657i	$-0.231849\pi$
$661$	2.07225	+	2.07225i	0.0806012	+	0.0806012i	−0.665657	+	0.746258i	$0.731849\pi$
$662$	26.1030	+	6.51243i	1.01452	+	0.253113i
$663$	0.586952	−	0.520419i	0.0227953	−	0.0202114i
$664$	0.148942	+	2.86704i	0.00578007	+	0.111263i
$665$	−12.0098	−	41.8696i	−0.465718	−	1.62363i
$666$	6.30810	−	0.941771i	0.244434	−	0.0364929i
$667$	−9.04763	−	9.04763i	−0.350326	−	0.350326i
$668$	9.72587	+	0.939484i	0.376305	+	0.0363497i
$669$	0.428822	−	0.177624i	0.0165792	−	0.00686734i
$670$	24.6843	+	9.23098i	0.953638	+	0.356624i
$671$	23.3479	−	23.3479i	0.901336	−	0.901336i
$672$	−0.951429	−	0.444541i	−0.0367022	−	0.0171485i
$673$	2.91543	−	7.03847i	0.112382	−	0.271313i	−0.857675	−	0.514192i	$-0.828092\pi$
$673$	2.91543	−	7.03847i	0.112382	−	0.271313i	0.970057	+	0.242879i	$0.0780918\pi$
$674$	−5.58013	+	7.53871i	−0.214938	+	0.290380i
$675$	0.866899	+	0.618131i	0.0333670	+	0.0237919i
$676$	27.7656	+	14.7741i	1.06791	+	0.568234i
$677$	4.35675	+	10.5181i	0.167443	+	0.404244i	0.985220	−	0.171291i	$-0.0547938\pi$
$677$	4.35675	+	10.5181i	0.167443	+	0.404244i	−0.817777	+	0.575535i	$0.804794\pi$
$678$	0.267324	+	0.445056i	0.0102665	+	0.0170923i
$679$	57.6449			2.21221
$680$	22.7051	+	12.8248i	0.870702	+	0.491810i
$681$	0.281512			0.0107876
$682$	−5.38285	−	8.96165i	−0.206120	−	0.343159i
$683$	15.2828	+	36.8960i	0.584781	+	1.41179i	0.888435	+	0.459003i	$0.151793\pi$
$683$	15.2828	+	36.8960i	0.584781	+	1.41179i	−0.303654	+	0.952782i	$0.598207\pi$
$684$	10.4937	−	19.7213i	0.401237	−	0.754063i
$685$	18.7976	+	23.6277i	0.718220	+	0.902770i
$686$	58.7434	−	79.3619i	2.24283	−	3.03005i
$687$	0.188217	−	0.454396i	0.00718093	−	0.0173363i
$688$	17.0143	−	11.4612i	0.648665	−	0.436956i
$689$	13.6869	−	13.6869i	0.521429	−	0.521429i
$690$	−0.160375	−	0.351973i	−0.00610537	−	0.0133994i
$691$	34.5643	−	14.3170i	1.31489	−	0.544645i	0.388581	−	0.921414i	$-0.372965\pi$
$691$	34.5643	−	14.3170i	1.31489	−	0.544645i	0.926307	+	0.376770i	$0.122965\pi$
$692$	2.38207	−	24.6600i	0.0905526	−	0.937433i
$693$	−42.9922	−	42.9922i	−1.63314	−	1.63314i
$694$	−39.9959	+	5.97120i	−1.51822	+	0.226664i
$695$	15.7965	+	8.75438i	0.599195	+	0.332073i
$696$	0.0193428	+	0.372337i	0.000733188	+	0.0141134i
$697$	0.267987	−	4.46033i	0.0101507	−	0.168947i
$698$	−21.9614	−	5.47915i	−0.831252	−	0.207389i
$699$	−0.475504	−	0.475504i	−0.0179852	−	0.0179852i
$700$	−23.3287	−	46.8059i	−0.881742	−	1.76910i
$701$	−50.4617			−1.90591			−0.952956	−	0.303109i	$-0.901975\pi$
$701$	−50.4617			−1.90591			−0.952956	+	0.303109i	$0.901975\pi$
$702$	−1.29730	−	0.960258i	−0.0489635	−	0.0362426i
$703$	−2.14375	+	5.17547i	−0.0808530	+	0.195196i
$704$	27.2702	−	14.7743i	1.02779	−	0.556827i
$705$	−0.0282738	+	0.0510175i	−0.00106485	+	0.00192143i
$706$	1.81207	−	7.26309i	0.0681980	−	0.273350i
$707$	−69.5432	−	28.8057i	−2.61544	−	1.08335i
$708$	−0.0605138	+	0.0498528i	−0.00227425	+	0.00187358i
$709$	12.3012	−	29.6977i	0.461980	−	1.11532i	−0.505603	−	0.862766i	$-0.668730\pi$
$709$	12.3012	−	29.6977i	0.461980	−	1.11532i	0.967583	−	0.252553i	$-0.0812701\pi$
$710$	47.0368	−	1.63939i	1.76526	−	0.0615253i
$711$	3.34472	−	8.07486i	0.125437	−	0.302831i
$712$	−1.90849	−	36.7372i	−0.0715237	−	1.37678i
$713$	4.64559	+	4.64559i	0.173979	+	0.173979i
$714$	1.07827	−	0.0953407i	0.0403533	−	0.00356804i
$715$	22.5222	−	40.6393i	0.842283	−	1.51982i
$716$	−5.20116	−	17.0308i	−0.194376	−	0.636469i
$717$	−0.0372867	−	0.0900181i	−0.00139250	−	0.00336179i
$718$	5.27227	−	21.1322i	0.196759	−	0.788647i
$719$	−1.17672	+	2.84086i	−0.0438843	+	0.105946i	−0.944302	−	0.329081i	$-0.893261\pi$
$719$	−1.17672	+	2.84086i	−0.0438843	+	0.105946i	0.900417	+	0.435027i	$0.143261\pi$
$720$	8.07880	−	25.5759i	0.301079	−	0.953159i
$721$	−16.8373	−	40.6487i	−0.627052	−	1.51384i
$722$	−3.73263	−	6.21429i	−0.138914	−	0.231272i
$723$			0.636226i			0.0236615i
$724$	−40.3801	−	3.90057i	−1.50072	−	0.144964i
$725$	−10.7795	+	15.1177i	−0.400339	+	0.561456i
$726$	−0.200114	+	0.0298761i	−0.00742693	+	0.00110881i
$727$	−25.3538	+	25.3538i	−0.940319	+	0.940319i	−0.998317	−	0.0579975i	$-0.981528\pi$
$727$	−25.3538	+	25.3538i	−0.940319	+	0.940319i	0.0579975	+	0.998317i	$0.481528\pi$
$728$	34.0980	+	71.5721i	1.26376	+	2.65264i
$729$	−19.0438	−	19.0438i	−0.705325	−	0.705325i
$730$	22.6460	+	21.1206i	0.838166	+	0.781708i
$731$	−9.24930	+	19.0158i	−0.342098	+	0.703325i
$732$	0.578288	−	0.176608i	0.0213741	−	0.00652762i
$733$		−	29.3446i		−	1.08387i	−0.840421	−	0.541934i	$-0.817692\pi$
$733$		−	29.3446i		−	1.08387i	0.840421	−	0.541934i	$-0.182308\pi$
$734$	4.68031	+	31.3493i	0.172753	+	1.15712i
$735$	−1.41284	−	0.782993i	−0.0521134	−	0.0288811i
$736$	−14.3808	+	13.1574i	−0.530082	+	0.484989i
$737$	−12.3643	+	29.8501i	−0.455445	+	1.09954i
$738$	−4.54561	+	0.678638i	−0.167326	+	0.0249810i
$739$	31.7089	−	31.7089i	1.16643	−	1.16643i	0.183389	−	0.983040i	$-0.441293\pi$
$739$	31.7089	−	31.7089i	1.16643	−	1.16643i	0.983040	−	0.183389i	$-0.0587069\pi$
$740$	−1.39983	+	6.57856i	−0.0514586	+	0.241833i
$741$	0.654717	−	0.271193i	0.0240516	−	0.00996251i
$742$	26.4175	−	3.94402i	0.969819	−	0.144789i
$743$	−11.3071	−	27.2977i	−0.414817	−	1.00146i	−0.983826	−	0.179125i	$-0.942673\pi$
$743$	−11.3071	−	27.2977i	−0.414817	−	1.00146i	0.569010	−	0.822331i	$-0.307327\pi$
$744$	−0.00993176	−	0.191180i	−0.000364116	−	0.00700899i
$745$	−22.7763	−	2.59307i	−0.834460	−	0.0950029i
$746$	−5.52900	+	22.1612i	−0.202431	+	0.811380i
$747$	−2.15227	+	2.15227i	−0.0787475	+	0.0787475i
$748$	−16.6831	+	27.2716i	−0.609996	+	0.997149i
$749$	−11.6488			−0.425637
$750$	−0.465280	+	0.313905i	−0.0169896	+	0.0114622i
$751$	−10.8333	+	26.1540i	−0.395314	+	0.954372i	0.593448	+	0.804872i	$0.297766\pi$
$751$	−10.8333	+	26.1540i	−0.395314	+	0.954372i	−0.988762	+	0.149500i	$0.952234\pi$
$752$	2.88502	+	0.562615i	0.105206	+	0.0205165i
$753$	−0.588268	+	0.243669i	−0.0214377	+	0.00887978i
$754$	16.7457	−	22.6233i	0.609843	−	0.823894i
$755$	42.3580	−	33.6989i	1.54156	−	1.22643i
$756$	−0.650538	−	2.13013i	−0.0236598	−	0.0774722i
$757$			25.4847i			0.926259i	0.886291	+	0.463129i	$0.153274\pi$
$757$			25.4847i			0.926259i	−0.886291	+	0.463129i	$0.846726\pi$
$758$	−22.0907	+	3.29804i	−0.802371	+	0.119790i
$759$	0.438101	−	0.181467i	0.0159021	−	0.00658685i
$760$	15.6032	+	17.6494i	0.565988	+	0.640213i
$761$			31.1534i			1.12931i	0.825328	+	0.564654i	$0.190990\pi$
$761$			31.1534i			1.12931i	−0.825328	+	0.564654i	$0.809010\pi$
$762$	−0.131480	+	0.177629i	−0.00476302	+	0.00643480i
$763$	−71.6837			−2.59512
$764$	−12.3691	+	23.2457i	−0.447497	+	0.841001i
$765$	6.01525	+	26.9847i	0.217482	+	0.975634i
$766$	−8.15298	+	4.89712i	−0.294579	+	0.176940i
$767$	5.91896			0.213721
$768$	0.567947	−	0.00426464i	0.0204940	−	0.000153887i
$769$	−12.3580			−0.445641			−0.222820	−	0.974859i	$-0.571526\pi$
$769$	−12.3580			−0.445641			−0.222820	+	0.974859i	$0.571526\pi$
$770$	58.3448	−	26.5845i	2.10260	−	0.958039i
$771$	−0.203548	+	0.0843121i	−0.00733059	+	0.00303643i
$772$	17.8926	−	14.7404i	0.643969	−	0.530518i
$773$	−15.7696			−0.567193			−0.283596	−	0.958944i	$-0.591528\pi$
$773$	−15.7696			−0.567193			−0.283596	+	0.958944i	$0.591528\pi$
$774$	21.1030	+	5.26498i	0.758531	+	0.189246i
$775$	5.53481	−	7.76231i	0.198816	−	0.278830i
$776$	−28.1455	+	13.4089i	−1.01036	+	0.481352i
$777$	0.106844	+	0.257945i	0.00383302	+	0.00925373i
$778$	2.58022	−	10.3420i	0.0925055	−	0.370779i
$779$	1.54478	−	3.72943i	0.0553475	−	0.133621i
$780$	0.713681	−	0.463247i	0.0255539	−	0.0165869i
$781$			57.7015i			2.06472i
$782$	6.02393	−	19.1672i	0.215415	−	0.685418i
$783$	−0.559141	+	0.559141i	−0.0199821	+	0.0199821i
$784$	−15.5806	+	79.8957i	−0.556452	+	2.85342i
$785$	0.0826834	+	0.103929i	0.00295110	+	0.00370939i
$786$	0.625983	−	0.375999i	0.0223281	−	0.0134114i
$787$	−3.42342	−	8.26486i	−0.122032	−	0.294610i	0.851045	−	0.525093i	$-0.175970\pi$
$787$	−3.42342	−	8.26486i	−0.122032	−	0.294610i	−0.973076	+	0.230483i	$0.925970\pi$
$788$	−7.81825	−	9.49018i	−0.278514	−	0.338074i
$789$	−0.368118	−	0.888715i	−0.0131053	−	0.0316391i
$790$	6.74033	+	6.28631i	0.239810	+	0.223657i
$791$	38.2437	−	38.2437i	1.35979	−	1.35979i
$792$	30.9917	+	10.9907i	1.10124	+	0.390536i
$793$	−42.1725	−	17.4684i	−1.49759	−	0.620321i
$794$	−1.49189	+	0.222732i	−0.0529451	+	0.00790445i
$795$	−0.0790380	−	0.275550i	−0.00280319	−	0.00977275i
$796$	−18.6795	−	22.6742i	−0.662079	−	0.803664i
$797$	6.71767			0.237952			0.118976	−	0.992897i	$-0.462039\pi$
$797$	6.71767			0.237952			0.118976	+	0.992897i	$0.462039\pi$
$798$	0.948822	+	0.236721i	0.0335880	+	0.00837985i
$799$	−2.86370	+	0.989500i	−0.101310	+	0.0350060i
$800$	22.2780	+	17.4267i	0.787647	+	0.616127i
$801$	27.5785	−	27.5785i	0.974437	−	0.974437i
$802$	−15.9865	−	11.8332i	−0.564504	−	0.417844i
$803$	−26.8449	+	26.8449i	−0.947336	+	0.947336i
$804$	−0.456656	+	0.376205i	−0.0161050	+	0.0132677i
$805$	−31.5322	+	25.0862i	−1.11136	+	0.884172i
$806$	−8.59826	+	11.6162i	−0.302861	+	0.409162i
$807$			0.718644i			0.0252975i
$808$	40.6554	−	2.11204i	1.43025	−	0.0743014i
$809$	−8.57280	+	3.55097i	−0.301404	+	0.124845i	−0.528260	−	0.849083i	$-0.677155\pi$
$809$	−8.57280	+	3.55097i	−0.301404	+	0.124845i	0.226856	+	0.973928i	$0.427155\pi$
$810$	25.8661	−	11.7858i	0.908843	−	0.414110i
$811$	−19.1005	+	46.1128i	−0.670711	+	1.61924i	0.109695	+	0.993965i	$0.465013\pi$
$811$	−19.1005	+	46.1128i	−0.670711	+	1.61924i	−0.780406	+	0.625274i	$0.784987\pi$
$812$	37.1469	−	11.3446i	1.30360	−	0.398117i
$813$	−0.0208429	+	0.00863340i	−0.000730991	+	0.000302787i
$814$	−8.00055	−	1.99606i	−0.280419	−	0.0699617i
$815$	27.4598	+	15.2182i	0.961877	+	0.533070i
$816$	−0.504296	+	0.297370i	−0.0176539	+	0.0104100i
$817$	−13.5080	+	13.5080i	−0.472583	+	0.472583i
$818$	15.2822	+	25.4426i	0.534328	+	0.889578i
$819$	−32.1658	+	77.6552i	−1.12396	+	2.71349i
$820$	1.00871	−	4.74050i	0.0352258	−	0.165545i
$821$	−18.9882	−	7.86518i	−0.662693	−	0.274497i	0.0258780	−	0.999665i	$-0.491762\pi$
$821$	−18.9882	−	7.86518i	−0.662693	−	0.274497i	−0.688571	+	0.725168i	$0.741762\pi$
$822$	−0.670425	+	0.100091i	−0.0233838	+	0.00349109i
$823$	−6.14343	−	2.54469i	−0.214147	−	0.0887024i	0.273031	−	0.962005i	$-0.411974\pi$
$823$	−6.14343	−	2.54469i	−0.214147	−	0.0887024i	−0.487178	+	0.873303i	$0.661974\pi$
$824$	17.6763	+	15.9304i	0.615783	+	0.554963i
$825$	−0.364740	−	0.583485i	−0.0126986	−	0.0203143i
$826$	6.56499	+	4.85939i	0.228425	+	0.169080i
$827$	−16.5670	+	39.9962i	−0.576090	+	1.39080i	0.320207	+	0.947348i	$0.396248\pi$
$827$	−16.5670	+	39.9962i	−0.576090	+	1.39080i	−0.896296	+	0.443456i	$0.853752\pi$
$828$	−20.5696	−	1.98695i	−0.714843	−	0.0690512i
$829$		−	29.5524i		−	1.02640i	−0.858270	−	0.513198i	$-0.828461\pi$
$829$		−	29.5524i		−	1.02640i	0.858270	−	0.513198i	$-0.171539\pi$
$830$	−1.33087	−	2.92085i	−0.0461952	−	0.101384i
$831$	0.270844	+	0.270844i	0.00939547	+	0.00939547i
$832$	−33.2971	−	27.0139i	−1.15437	−	0.936538i
$833$	−27.4025	−	79.3052i	−0.949440	−	2.74776i
$834$	−0.347581	+	0.208776i	−0.0120357	+	0.00722931i
$835$	−10.5010	+	3.01208i	−0.363403	+	0.104237i
$836$	−22.2912	+	18.3640i	−0.770956	+	0.635133i
$837$	0.287096	−	0.287096i	0.00992350	−	0.00992350i
$838$	−20.9701	−	15.5220i	−0.724399	−	0.536198i
$839$	−15.3975	+	6.37787i	−0.531582	+	0.220188i	−0.632296	−	0.774727i	$-0.717887\pi$
$839$	−15.3975	+	6.37787i	−0.531582	+	0.220188i	0.100714	+	0.994915i	$0.467887\pi$
$840$	1.17190	+	0.0721136i	0.0404343	+	0.00248816i
$841$	10.7554	+	10.7554i	0.370875	+	0.370875i
$842$	−25.5234	+	15.3307i	−0.879593	+	0.528331i
$843$	0.307524	−	0.742429i	0.0105917	−	0.0255706i
$844$	31.9946	+	3.09056i	1.10130	+	0.106381i
$845$	−34.9382	−	3.97770i	−1.20191	−	0.136837i
$846$	1.60464	+	2.67149i	0.0551686	+	0.0918476i
$847$	8.06620	+	19.4735i	0.277158	+	0.669119i
$848$	−11.9811	+	8.07074i	−0.411433	+	0.277150i
$849$		−	0.460005i		−	0.0157873i
$850$	−28.8754	−	4.02597i	−0.990420	−	0.138090i
$851$	5.18210			0.177640
$852$	−0.496352	+	0.932817i	−0.0170047	+	0.0319578i
$853$	13.1173	−	5.43335i	0.449126	−	0.186034i	−0.146643	−	0.989189i	$-0.546847\pi$
$853$	13.1173	−	5.43335i	0.449126	−	0.186034i	0.595770	+	0.803155i	$0.296847\pi$
$854$	−32.4341	−	53.9980i	−1.10987	−	1.84778i
$855$	−2.82528	+	24.8159i	−0.0966224	+	0.848685i
$856$	5.68759	−	2.70965i	0.194398	−	0.0926141i
$857$	25.8389	+	10.7028i	0.882639	+	0.365601i	0.777520	−	0.628859i	$-0.216478\pi$
$857$	25.8389	+	10.7028i	0.882639	+	0.365601i	0.105119	+	0.994460i	$0.466478\pi$
$858$	0.537113	+	0.894215i	0.0183367	+	0.0305280i
$859$	−10.8606	+	10.8606i	−0.370558	+	0.370558i	−0.867680	−	0.497123i	$-0.834390\pi$
$859$	−10.8606	+	10.8606i	−0.370558	+	0.370558i	0.497123	+	0.867680i	$0.334390\pi$
$860$	−12.9952	+	18.8993i	−0.443134	+	0.644460i
$861$	−0.0769919	−	0.185875i	−0.00262388	−	0.00633460i
$862$	31.0530	+	22.9853i	1.05767	+	0.782883i
$863$	5.63029	+	5.63029i	0.191657	+	0.191657i	0.796412	−	0.604755i	$-0.206729\pi$
$863$	5.63029	+	5.63029i	0.191657	+	0.191657i	−0.604755	+	0.796412i	$0.706729\pi$
$864$	0.813125	+	0.888727i	0.0276631	+	0.0302351i
$865$	7.63716	+	26.6254i	0.259671	+	0.905291i
$866$	7.54363	+	12.5590i	0.256343	+	0.426773i
$867$	0.296027	−	0.525864i	0.0100536	−	0.0178593i
$868$	−19.0735	+	5.82499i	−0.647395	+	0.197713i
$869$	−7.99008	+	7.99008i	−0.271045	+	0.271045i
$870$	−0.172838	−	0.379326i	−0.00585975	−	0.0128603i
$871$	44.6663			1.51346
$872$	35.0000	−	16.6745i	1.18525	−	0.564670i
$873$	−30.5376	−	12.6491i	−1.03354	−	0.428107i
$874$	10.7986	−	14.5888i	0.365268	−	0.493475i
$875$	43.4619	+	39.1132i	1.46928	+	1.32227i
$876$	−0.664903	+	0.203060i	−0.0224650	+	0.00686076i
$877$	−0.259983	+	0.627655i	−0.00877901	+	0.0211944i	−0.928208	−	0.372061i	$-0.878651\pi$
$877$	−0.259983	+	0.627655i	−0.00877901	+	0.0211944i	0.919429	+	0.393255i	$0.128651\pi$
$878$	−24.9883	+	3.73064i	−0.843314	+	0.125903i
$879$	−0.127531	+	0.307887i	−0.00430151	+	0.0103848i
$880$	−22.3033	+	26.5518i	−0.751844	+	0.895060i
$881$	29.4959	+	12.2176i	0.993741	+	0.411621i	0.819498	−	0.573082i	$-0.194252\pi$
$881$	29.4959	+	12.2176i	0.993741	+	0.411621i	0.174243	+	0.984703i	$0.444252\pi$
$882$	−73.9822	+	44.4377i	−2.49111	+	1.49629i
$883$	1.43819	+	1.43819i	0.0483991	+	0.0483991i	0.730892	−	0.682493i	$-0.239104\pi$
$883$	1.43819	+	1.43819i	0.0483991	+	0.0483991i	−0.682493	+	0.730892i	$0.739104\pi$
$884$	43.6580	+	6.88020i	1.46838	+	0.231406i
$885$	0.0424912	−	0.0766715i	0.00142833	−	0.00257729i
$886$	−23.9258	−	5.96923i	−0.803802	−	0.200540i
$887$	−6.19185	−	14.9485i	−0.207902	−	0.501920i	0.785190	−	0.619254i	$-0.212565\pi$
$887$	−6.19185	−	14.9485i	−0.207902	−	0.501920i	−0.993092	+	0.117334i	$0.962565\pi$
$888$	−0.112169	−	0.101090i	−0.00376414	−	0.00339236i
$889$	21.2698	+	8.81024i	0.713366	+	0.295486i
$890$	17.0533	+	37.4268i	0.571629	+	1.25455i
$891$	13.3358	+	32.1955i	0.446767	+	1.07859i
$892$	23.0864	+	12.2843i	0.772991	+	0.411308i
$893$	−2.73714			−0.0915947
$894$	0.306187	−	0.413657i	0.0102404	−	0.0138347i
$895$	12.3951	+	15.5800i	0.414321	+	0.520782i
$896$	−14.7534	−	57.2989i	−0.492875	−	1.91422i
$897$	−0.463548	−	0.463548i	−0.0154774	−	0.0154774i
$898$	8.82603	−	11.9239i	0.294528	−	0.397906i
$899$	5.00661	+	5.00661i	0.166980	+	0.166980i
$900$	2.08779	+	29.9146i	0.0695930	+	0.997154i
$901$	6.51315	−	13.3905i	0.216984	−	0.446102i
$902$	5.76518	+	1.43835i	0.191960	+	0.0478920i
$903$			0.952100i			0.0316839i
$904$	−9.77675	+	27.5687i	−0.325170	+	0.916920i
$905$	43.5984	−	12.5057i	1.44926	−	0.415702i
$906$	0.179436	+	1.20189i	0.00596136	+	0.0399300i
$907$	4.18770	−	10.1100i	0.139050	−	0.335697i	−0.838979	−	0.544163i	$-0.816847\pi$
$907$	4.18770	−	10.1100i	0.139050	−	0.335697i	0.978030	+	0.208466i	$0.0668472\pi$
$908$	10.0850	+	12.2417i	0.334684	+	0.406256i
$909$	30.5199	+	30.5199i	1.01228	+	1.01228i
$910$	−64.8211	−	60.4548i	−2.14880	−	2.00406i
$911$	34.2135	−	14.1717i	1.13354	−	0.469529i	0.264560	−	0.964369i	$-0.414773\pi$
$911$	34.2135	−	14.1717i	1.13354	−	0.469529i	0.868984	+	0.494840i	$0.164773\pi$
$912$	−0.518333	+	0.105127i	−0.0171637	+	0.00348111i
$913$	3.63558	−	1.50591i	0.120320	−	0.0498383i
$914$	16.3821	+	27.2738i	0.541873	+	0.902138i
$915$	−0.529027	+	0.420880i	−0.0174891	+	0.0139139i
$916$	26.5025	−	8.09379i	0.875666	−	0.267427i
$917$	−53.7907	−	53.7907i	−1.77633	−	1.77633i
$918$	−1.18453	−	0.372277i	−0.0390952	−	0.0122870i
$919$	32.5256			1.07292			0.536460	−	0.843926i	$-0.319761\pi$
$919$	32.5256			1.07292			0.536460	+	0.843926i	$0.319761\pi$
$920$	9.56041	−	19.5833i	0.315197	−	0.645641i
$921$	0.198808	+	0.0823491i	0.00655095	+	0.00271349i
$922$	−46.3556	−	11.5652i	−1.52664	−	0.380881i
$923$	73.6976	−	30.5265i	2.42578	−	1.00479i
$924$	−0.138401	+	1.43278i	−0.00455306	+	0.0471349i
$925$	−1.24237	−	7.41639i	−0.0408490	−	0.243849i
$926$	28.2329	+	7.04382i	0.927791	+	0.231474i
$927$			25.2284i			0.828610i
$928$	−15.4983	+	14.1799i	−0.508757	+	0.465478i
$929$	17.3258	+	41.8282i	0.568441	+	1.37234i	0.902869	+	0.429916i	$0.141457\pi$
$929$	17.3258	+	41.8282i	0.568441	+	1.37234i	−0.334428	+	0.942421i	$0.608543\pi$
$930$	0.0887453	+	0.194768i	0.00291007	+	0.00638671i
$931$		−	75.8002i		−	2.48425i
$932$	3.64286	−	37.7122i	0.119326	−	1.23531i
$933$		−	0.364652i		−	0.0119382i
$934$	32.5907	−	19.5757i	1.06640	−	0.640536i
$935$	6.16588	−	35.2075i	0.201646	−	1.15141i
$936$	−2.35841	−	45.3978i	−0.0770869	−	1.48387i
$937$			25.7211i			0.840273i	0.907461	+	0.420136i	$0.138018\pi$
$937$			25.7211i			0.840273i	−0.907461	+	0.420136i	$0.861982\pi$
$938$	49.5415	+	36.6705i	1.61759	+	1.19733i
$939$	0.532306			0.0173711
$940$	−3.23142	+	0.598174i	−0.105397	+	0.0195103i
$941$	22.6193	+	54.6079i	0.737370	+	1.78017i	0.616281	+	0.787526i	$0.288639\pi$
$941$	22.6193	+	54.6079i	0.737370	+	1.78017i	0.121089	+	0.992642i	$0.461361\pi$
$942$	−0.00294894		0.000440263i	−9.60816e−5		1.43445e-5i
$943$	−3.73421			−0.121603
$944$	−4.33575	−	0.845525i	−0.141117	−	0.0275195i
$945$	1.55032	+	1.94868i	0.0504319	+	0.0633905i
$946$	−22.6013	−	16.7294i	−0.734830	−	0.543919i
$947$	1.24584	+	3.00773i	0.0404845	+	0.0977381i	0.942828	−	0.333279i	$-0.108155\pi$
$947$	1.24584	+	3.00773i	0.0404845	+	0.0977381i	−0.902344	+	0.431017i	$0.858155\pi$
$948$	−0.197901	+	0.0604385i	−0.00642752	+	0.00196295i
$949$	48.4890	+	20.0848i	1.57402	+	0.651980i
$950$	−23.4678	−	11.9569i	−0.761395	−	0.387933i
$951$		−	0.859560i		−	0.0278731i
$952$	42.7745	+	43.4737i	1.38633	+	1.40899i
$953$	−9.06064	−	9.06064i	−0.293503	−	0.293503i	0.544960	−	0.838462i	$-0.316545\pi$
$953$	−9.06064	−	9.06064i	−0.293503	−	0.293503i	−0.838462	+	0.544960i	$0.816545\pi$
$954$	−14.8602	−	3.70747i	−0.481118	−	0.120034i
$955$	3.33019	−	29.2507i	0.107762	−	0.946532i
$956$	2.57871	−	4.84628i	0.0834014	−	0.156740i
$957$	0.472146	−	0.195569i	0.0152623	−	0.00632186i
$958$	−39.6879	+	5.92522i	−1.28226	+	0.191435i
$959$	27.0235	+	65.2406i	0.872635	+	2.10673i
$960$	−0.588960	+	0.237388i	−0.0190086	+	0.00766166i
$961$	19.3496	+	19.3496i	0.624181	+	0.624181i
$962$	1.68323	+	11.2745i	0.0542694	+	0.363503i
$963$	6.17099	+	2.55611i	0.198857	+	0.0823694i
$964$	−27.6666	+	22.7925i	−0.891082	+	0.734096i
$965$	−12.5637	+	22.6701i	−0.404440	+	0.729776i
$966$	−0.133576	−	0.894709i	−0.00429774	−	0.0287868i
$967$	−15.3723			−0.494339			−0.247169	−	0.968972i	$-0.579500\pi$
$967$	−15.3723			−0.494339			−0.247169	+	0.968972i	$0.579500\pi$
$968$	−8.46816	−	7.63177i	−0.272177	−	0.245294i
$969$	0.407914	−	0.361675i	0.0131041	−	0.0116187i
$970$	23.7736	−	25.4907i	0.763325	−	0.818456i
$971$	−4.97061	+	4.97061i	−0.159515	+	0.159515i	−0.782352	−	0.622837i	$-0.785980\pi$
$971$	−4.97061	+	4.97061i	−0.159515	+	0.159515i	0.622837	+	0.782352i	$0.285980\pi$
$972$	−0.184202	+	1.90693i	−0.00590828	+	0.0611647i
$973$	29.8676	+	29.8676i	0.957512	+	0.957512i
$974$	−12.9862	+	1.93879i	−0.416106	+	0.0621227i
$975$	−0.552276	+	0.774541i	−0.0176870	+	0.0248052i
$976$	28.3968	+	18.8203i	0.908959	+	0.602423i
$977$	−58.1732			−1.86112			−0.930562	−	0.366134i	$-0.880681\pi$
$977$	−58.1732			−1.86112			−0.930562	+	0.366134i	$0.880681\pi$
$978$	−0.604218	+	0.362926i	−0.0193208	+	0.0116051i
$979$	−46.5851	+	19.2962i	−1.48887	+	0.616709i
$980$	−16.5654	−	89.4885i	−0.529162	−	2.85860i
$981$	37.9747	+	15.7296i	1.21244	+	0.502208i
$982$	11.1493	−	44.6882i	0.355787	−	1.42606i
$983$	−19.6113	+	8.12327i	−0.625504	+	0.259092i	−0.672841	−	0.739787i	$-0.734926\pi$
$983$	−19.6113	+	8.12327i	−0.625504	+	0.259092i	0.0473375	+	0.998879i	$0.484926\pi$
$984$	0.0808286	+	0.0728452i	0.00257672	+	0.00232222i
$985$	12.0241	+	6.66376i	0.383121	+	0.212325i
$986$	6.49206	−	20.6567i	0.206749	−	0.657844i
$987$	−0.0964627	+	0.0964627i	−0.00307044	+	0.00307044i
$988$	35.2479	+	18.7554i	1.12138	+	0.596688i
$989$	16.3264	+	6.76263i	0.519151	+	0.215039i
$990$	−36.7418	+	1.28058i	−1.16773	+	0.0406994i
$991$	−14.2178	−	5.88922i	−0.451645	−	0.187077i	0.145253	−	0.989394i	$-0.453600\pi$
$991$	−14.2178	−	5.88922i	−0.451645	−	0.187077i	−0.596898	+	0.802317i	$0.703600\pi$
$992$	7.95776	−	7.28081i	0.252659	−	0.231166i
$993$	0.258421	−	0.623883i	0.00820074	−	0.0197983i
$994$	106.803	+	26.6463i	3.38759	+	0.845170i
$995$	28.7284	+	15.9212i	0.910750	+	0.504736i
$996$	0.0717276	+	0.00692863i	0.00227278	+	0.000219542i
$997$	16.5568	+	6.85806i	0.524360	+	0.217197i	0.629131	−	0.777299i	$-0.283411\pi$
$997$	16.5568	+	6.85806i	0.524360	+	0.217197i	−0.104771	+	0.994496i	$0.533411\pi$
$998$	−11.1420	−	8.24730i	−0.352695	−	0.261064i
$999$		−	0.320252i		−	0.0101323i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	680.2.bw.a.43.88	yes	416
5.2	odd	4		680.2.bz.a.587.70	yes	416
8.3	odd	2	inner	680.2.bw.a.43.17	✓	416
17.2	even	8		680.2.bz.a.563.70	yes	416
40.27	even	4		680.2.bz.a.587.69	yes	416
85.2	odd	8	inner	680.2.bw.a.427.17	yes	416
136.19	odd	8		680.2.bz.a.563.69	yes	416
680.427	even	8	inner	680.2.bw.a.427.88	yes	416

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
680.2.bw.a.43.17	✓	416	8.3	odd	2	inner
680.2.bw.a.43.88	yes	416	1.1	even	1	trivial
680.2.bw.a.427.17	yes	416	85.2	odd	8	inner
680.2.bw.a.427.88	yes	416	680.427	even	8	inner
680.2.bz.a.563.69	yes	416	136.19	odd	8
680.2.bz.a.563.70	yes	416	17.2	even	8
680.2.bz.a.587.69	yes	416	40.27	even	4
680.2.bz.a.587.70	yes	416	5.2	odd	4

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:	\( N \)	\(=\)	\( 680 = 2^{3} \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	680.bw (of order \(8\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.21233 - 0.728189i) q^{2} +(-0.0135844 - 0.0327956i) q^{3} +(0.939481 - 1.76561i) q^{4} +(-0.252941 + 2.22172i) q^{5} +(-0.0403501 - 0.0298670i) q^{6} +(-2.00134 + 4.83165i) q^{7} +(-0.146738 - 2.82462i) q^{8} +(2.12043 - 2.12043i) q^{9} +O(q^{10})\)	\(q+(1.21233 - 0.728189i) q^{2} +(-0.0135844 - 0.0327956i) q^{3} +(0.939481 - 1.76561i) q^{4} +(-0.252941 + 2.22172i) q^{5} +(-0.0403501 - 0.0298670i) q^{6} +(-2.00134 + 4.83165i) q^{7} +(-0.146738 - 2.82462i) q^{8} +(2.12043 - 2.12043i) q^{9} +(1.31118 + 2.87764i) q^{10} +(-3.58180 + 1.48363i) q^{11} +(-0.0706664 - 0.00682612i) q^{12} +(3.78984 + 3.78984i) q^{13} +(1.09208 + 7.31490i) q^{14} +(0.0762985 - 0.0218853i) q^{15} +(-2.23475 - 3.31751i) q^{16} +(3.70777 + 1.80346i) q^{17} +(1.02658 - 4.11473i) q^{18} +(2.63383 + 2.63383i) q^{19} +(3.68505 + 2.53385i) q^{20} +0.185644 q^{21} +(-3.26195 + 4.40687i) q^{22} +(1.31860 - 3.18338i) q^{23} +(-0.0906416 + 0.0431830i) q^{24} +(-4.87204 - 1.12393i) q^{25} +(7.35425 + 1.83481i) q^{26} +(-0.196732 - 0.0814891i) q^{27} +(6.65059 + 8.07282i) q^{28} +(1.42107 - 3.43077i) q^{29} +(0.0765622 - 0.0820919i) q^{30} +(-0.729663 + 1.76156i) q^{31} +(-5.12503 - 2.39459i) q^{32} +(0.0973129 + 0.0973129i) q^{33} +(5.80829 - 0.513568i) q^{34} +(-10.2283 - 5.66852i) q^{35} +(-1.75175 - 5.73595i) q^{36} +(0.575535 + 1.38946i) q^{37} +(5.11099 + 1.27514i) q^{38} +(0.0728074 - 0.175773i) q^{39} +(6.31261 + 0.388452i) q^{40} +(-0.414729 - 1.00125i) q^{41} +(0.225061 - 0.135184i) q^{42} +5.12864i q^{43} +(-0.745520 + 7.71789i) q^{44} +(4.17465 + 5.24734i) q^{45} +(-0.719529 - 4.81950i) q^{46} +(-0.519612 + 0.519612i) q^{47} +(-0.0784420 + 0.118356i) q^{48} +(-14.3898 - 14.3898i) q^{49} +(-6.72495 + 2.18520i) q^{50} +(0.00877787 - 0.146097i) q^{51} +(10.2519 - 3.13090i) q^{52} -3.61147i q^{53} +(-0.297844 + 0.0444667i) q^{54} +(-2.39022 - 8.33300i) q^{55} +(13.9412 + 4.94402i) q^{56} +(0.0505990 - 0.122157i) q^{57} +(-0.775444 - 5.19403i) q^{58} +(0.780898 - 0.780898i) q^{59} +(0.0330402 - 0.155274i) q^{60} +(-7.86852 + 3.25925i) q^{61} +(0.398159 + 2.66692i) q^{62} +(6.00148 + 14.4889i) q^{63} +(-7.95694 + 0.828960i) q^{64} +(-9.37856 + 7.46134i) q^{65} +(0.188837 + 0.0471130i) q^{66} +(5.89290 - 5.89290i) q^{67} +(6.66758 - 4.85215i) q^{68} -0.122313 q^{69} +(-16.5279 + 0.576052i) q^{70} +(5.69563 - 13.7505i) q^{71} +(-6.30055 - 5.67825i) q^{72} +(9.04705 - 3.74741i) q^{73} +(1.70953 + 1.26539i) q^{74} +(0.0293238 + 0.175049i) q^{75} +(7.12474 - 2.17588i) q^{76} -20.2752i q^{77} +(-0.0397293 - 0.266112i) q^{78} +(2.69275 - 1.11537i) q^{79} +(7.93583 - 4.12585i) q^{80} -8.98866i q^{81} +(-1.23188 - 0.911837i) q^{82} -1.01502 q^{83} +(0.174409 - 0.327774i) q^{84} +(-4.94462 + 7.78143i) q^{85} +(3.73462 + 6.21760i) q^{86} -0.131818 q^{87} +(4.71627 + 9.89950i) q^{88} +13.0061 q^{89} +(8.88210 + 3.32156i) q^{90} +(-25.8959 + 10.7264i) q^{91} +(-4.38181 - 5.31886i) q^{92} +0.0676834 q^{93} +(-0.251565 + 1.00832i) q^{94} +(-6.51782 + 5.18541i) q^{95} +(-0.00891170 + 0.200607i) q^{96} +(-4.21813 - 10.1835i) q^{97} +(-27.9236 - 6.96664i) q^{98} +(-4.44902 + 10.7409i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 416 q - 8 q^{3}+O(q^{10}) \) 416 * q - 8 * q^3	\( 416 q - 8 q^{3} - 12 q^{10} - 16 q^{11} - 16 q^{12} - 16 q^{14} - 16 q^{16} - 8 q^{18} - 32 q^{19} + 12 q^{20} + 4 q^{22} + 24 q^{24} - 16 q^{25} + 8 q^{26} + 16 q^{27} - 20 q^{28} - 16 q^{30} - 16 q^{33} - 16 q^{35} - 72 q^{36} + 16 q^{38} - 24 q^{40} - 16 q^{41} - 24 q^{42} + 32 q^{46} - 100 q^{48} - 48 q^{50} - 16 q^{51} + 24 q^{52} + 16 q^{54} - 8 q^{56} - 32 q^{57} - 72 q^{58} - 40 q^{60} + 48 q^{62} + 48 q^{64} - 8 q^{65} - 8 q^{66} - 16 q^{67} - 116 q^{68} + 80 q^{70} + 24 q^{72} + 32 q^{73} - 16 q^{74} + 16 q^{75} - 40 q^{76} - 76 q^{78} + 16 q^{80} - 36 q^{82} - 16 q^{83} - 48 q^{86} + 72 q^{88} + 56 q^{90} - 16 q^{91} - 104 q^{92} - 24 q^{94} - 8 q^{96} - 40 q^{98}+O(q^{100}) \) 416 * q - 8 * q^3 - 12 * q^10 - 16 * q^11 - 16 * q^12 - 16 * q^14 - 16 * q^16 - 8 * q^18 - 32 * q^19 + 12 * q^20 + 4 * q^22 + 24 * q^24 - 16 * q^25 + 8 * q^26 + 16 * q^27 - 20 * q^28 - 16 * q^30 - 16 * q^33 - 16 * q^35 - 72 * q^36 + 16 * q^38 - 24 * q^40 - 16 * q^41 - 24 * q^42 + 32 * q^46 - 100 * q^48 - 48 * q^50 - 16 * q^51 + 24 * q^52 + 16 * q^54 - 8 * q^56 - 32 * q^57 - 72 * q^58 - 40 * q^60 + 48 * q^62 + 48 * q^64 - 8 * q^65 - 8 * q^66 - 16 * q^67 - 116 * q^68 + 80 * q^70 + 24 * q^72 + 32 * q^73 - 16 * q^74 + 16 * q^75 - 40 * q^76 - 76 * q^78 + 16 * q^80 - 36 * q^82 - 16 * q^83 - 48 * q^86 + 72 * q^88 + 56 * q^90 - 16 * q^91 - 104 * q^92 - 24 * q^94 - 8 * q^96 - 40 * q^98

Introduction

L-functions

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