LMFDB - Embedded newform 930.2.bj.b.277.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (of order $20$, degree $8$, 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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.6
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.b.883.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.48798 - 1.66911i) q^{5} +1.00000i q^{6} +(-0.506200 + 0.993473i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.48798 - 1.66911i) q^{5} +1.00000i q^{6} +(-0.506200 + 0.993473i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-1.88133 - 1.20856i) q^{10} +(-2.00797 + 0.652428i) q^{11} +(0.987688 - 0.156434i) q^{12} +(6.02300 + 0.953949i) q^{13} +(1.06043 + 0.344554i) q^{14} +(-1.73077 + 1.41578i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-0.915722 - 1.79721i) q^{17} +(0.156434 - 0.987688i) q^{18} +(3.46016 - 4.76251i) q^{19} +(-0.899373 + 2.04722i) q^{20} +(0.655381 - 0.902054i) q^{21} +(0.958510 + 1.88118i) q^{22} +(-0.935013 + 0.476413i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(-0.571823 - 4.96719i) q^{25} -6.09807i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.174425 - 1.10127i) q^{28} +(5.37881 + 3.90793i) q^{29} +(1.66911 + 1.48798i) q^{30} +(1.93510 + 5.22067i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(2.08531 - 0.330280i) q^{33} +(-1.63183 + 1.18559i) q^{34} +(0.904995 + 2.32317i) q^{35} -1.00000 q^{36} +(5.52096 - 5.52096i) q^{37} +(-5.24516 - 2.67254i) q^{38} +(-5.79961 - 1.88441i) q^{39} +(2.16271 + 0.568043i) q^{40} +(-8.03040 - 5.83443i) q^{41} +(-0.993473 - 0.506200i) q^{42} +(-1.98838 - 12.5541i) q^{43} +(1.70808 - 1.24099i) q^{44} +(1.93094 - 1.12760i) q^{45} +(0.616816 + 0.848974i) q^{46} +(-4.07338 - 0.645161i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(3.38375 + 4.65733i) q^{49} +(-4.81659 + 1.34182i) q^{50} +(0.623303 + 1.91833i) q^{51} +(-6.02300 + 0.953949i) q^{52} +(2.51080 - 1.27932i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-1.89885 + 4.32231i) q^{55} -1.11500 q^{56} +(-4.16258 + 4.16258i) q^{57} +(3.01839 - 5.92392i) q^{58} +(-1.55412 - 2.13906i) q^{59} +(1.20856 - 1.88133i) q^{60} +2.43707i q^{61} +(4.85368 - 2.72797i) q^{62} +(-0.788424 + 0.788424i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(10.5543 - 8.63356i) q^{65} +(-0.652428 - 2.00797i) q^{66} +(-2.14235 - 2.14235i) q^{67} +(1.42627 + 1.42627i) q^{68} +(0.998029 - 0.324279i) q^{69} +(2.15299 - 1.25728i) q^{70} +(-2.29729 + 7.07034i) q^{71} +(0.156434 + 0.987688i) q^{72} +(6.81262 - 13.3705i) q^{73} +(-6.31665 - 4.58932i) q^{74} +(-0.212257 + 4.99549i) q^{75} +(-1.81912 + 5.59866i) q^{76} +(0.368263 - 2.32512i) q^{77} +(-0.953949 + 6.02300i) q^{78} +(-0.918307 + 2.82626i) q^{79} +(0.222727 - 2.22495i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-4.50636 + 8.84424i) q^{82} +(-2.50592 - 15.8218i) q^{83} +(-0.344554 + 1.06043i) q^{84} +(-4.36230 - 1.14577i) q^{85} +(-12.0885 + 3.92780i) q^{86} +(-4.70125 - 4.70125i) q^{87} +(-1.49292 - 1.49292i) q^{88} +(-4.24546 - 13.0662i) q^{89} +(-1.41578 - 1.73077i) q^{90} +(-3.99656 + 5.50080i) q^{91} +(0.742031 - 0.742031i) q^{92} +(-1.09458 - 5.45911i) q^{93} +4.12416i q^{94} +(-2.80046 - 12.8619i) q^{95} +(0.587785 + 0.809017i) q^{96} +(-7.26239 + 14.2532i) q^{97} +(4.07065 - 4.07065i) q^{98} -2.11130 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	−0.156434	−	0.987688i	−0.110616	−	0.698401i
$2$	−0.156434	−	0.987688i	−0.110616	−	0.698401i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	1.48798	−	1.66911i	0.665445	−	0.746446i
$5$	1.48798	−	1.66911i	0.665445	−	0.746446i
$6$			1.00000i			0.408248i
$7$	−0.506200	+	0.993473i	−0.191325	+	0.375497i	−0.966664	−	0.256049i	$-0.917579\pi$
$7$	−0.506200	+	0.993473i	−0.191325	+	0.375497i	0.775338	+	0.631546i	$0.217579\pi$
$8$	0.453990	+	0.891007i	0.160510	+	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−1.88133	−	1.20856i	−0.594928	−	0.382179i
$11$	−2.00797	+	0.652428i	−0.605425	+	0.196714i	−0.595658	−	0.803238i	$-0.703109\pi$
$11$	−2.00797	+	0.652428i	−0.605425	+	0.196714i	−0.00976630	+	0.999952i	$0.503109\pi$
$12$	0.987688	−	0.156434i	0.285121	−	0.0451587i
$13$	6.02300	+	0.953949i	1.67048	+	0.264578i	0.918734	−	0.394876i	$-0.129213\pi$
$13$	6.02300	+	0.953949i	1.67048	+	0.264578i	0.751745	+	0.659454i	$0.229213\pi$
$14$	1.06043	+	0.344554i	0.283411	+	0.0920860i
$15$	−1.73077	+	1.41578i	−0.446882	+	0.365554i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	−0.915722	−	1.79721i	−0.222095	−	0.435887i	0.752893	−	0.658143i	$-0.228658\pi$
$17$	−0.915722	−	1.79721i	−0.222095	−	0.435887i	−0.974988	+	0.222256i	$0.928658\pi$
$18$	0.156434	−	0.987688i	0.0368720	−	0.232800i
$19$	3.46016	−	4.76251i	0.793816	−	1.09259i	−0.199807	−	0.979835i	$-0.564031\pi$
$19$	3.46016	−	4.76251i	0.793816	−	1.09259i	0.993622	−	0.112758i	$-0.0359686\pi$
$20$	−0.899373	+	2.04722i	−0.201106	+	0.457773i
$21$	0.655381	−	0.902054i	0.143016	−	0.196844i
$22$	0.958510	+	1.88118i	0.204355	+	0.401070i
$23$	−0.935013	+	0.476413i	−0.194964	+	0.0993390i	−0.548747	−	0.835988i	$-0.684895\pi$
$23$	−0.935013	+	0.476413i	−0.194964	+	0.0993390i	0.353783	+	0.935327i	$0.384895\pi$
$24$	−0.309017	−	0.951057i	−0.0630778	−	0.194134i
$25$	−0.571823	−	4.96719i	−0.114365	−	0.993439i
$26$		−	6.09807i		−	1.19593i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	0.174425	−	1.10127i	0.0329631	−	0.208121i
$29$	5.37881	+	3.90793i	0.998819	+	0.725685i	0.961835	−	0.273631i	$-0.0882248\pi$
$29$	5.37881	+	3.90793i	0.998819	+	0.725685i	0.0369845	+	0.999316i	$0.488225\pi$
$30$	1.66911	+	1.48798i	0.304735	+	0.271667i
$31$	1.93510	+	5.22067i	0.347554	+	0.937660i
$31$	1.93510	+	5.22067i	0.347554	+	0.937660i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	2.08531	−	0.330280i	0.363005	−	0.0574944i
$34$	−1.63183	+	1.18559i	−0.279856	+	0.203328i
$35$	0.904995	+	2.32317i	0.152972	+	0.392687i
$36$	−1.00000			−0.166667
$37$	5.52096	−	5.52096i	0.907640	−	0.907640i	−0.0884417	−	0.996081i	$-0.528189\pi$
$37$	5.52096	−	5.52096i	0.907640	−	0.907640i	0.996081	+	0.0884417i	$0.0281887\pi$
$38$	−5.24516	−	2.67254i	−0.850877	−	0.433544i
$39$	−5.79961	−	1.88441i	−0.928681	−	0.301747i
$40$	2.16271	+	0.568043i	0.341955	+	0.0898155i
$41$	−8.03040	−	5.83443i	−1.25414	−	0.911184i	−0.255683	−	0.966761i	$-0.582300\pi$
$41$	−8.03040	−	5.83443i	−1.25414	−	0.911184i	−0.998454	+	0.0555761i	$0.982300\pi$
$42$	−0.993473	−	0.506200i	−0.153296	−	0.0781083i
$43$	−1.98838	−	12.5541i	−0.303225	−	1.91449i	−0.394947	−	0.918704i	$-0.629237\pi$
$43$	−1.98838	−	12.5541i	−0.303225	−	1.91449i	0.0917220	−	0.995785i	$-0.470763\pi$
$44$	1.70808	−	1.24099i	0.257502	−	0.187086i
$45$	1.93094	−	1.12760i	0.287847	−	0.168093i
$46$	0.616816	+	0.848974i	0.0909446	+	0.125174i
$47$	−4.07338	−	0.645161i	−0.594164	−	0.0941063i	−0.147892	−	0.989004i	$-0.547249\pi$
$47$	−4.07338	−	0.645161i	−0.594164	−	0.0941063i	−0.446272	+	0.894897i	$0.647249\pi$
$48$	−0.891007	+	0.453990i	−0.128606	+	0.0655279i
$49$	3.38375	+	4.65733i	0.483392	+	0.665333i
$50$	−4.81659	+	1.34182i	−0.681168	+	0.189762i
$51$	0.623303	+	1.91833i	0.0872799	+	0.268620i
$52$	−6.02300	+	0.953949i	−0.835239	+	0.132289i
$53$	2.51080	−	1.27932i	0.344886	−	0.175728i	−0.272964	−	0.962024i	$-0.588004\pi$
$53$	2.51080	−	1.27932i	0.344886	−	0.175728i	0.617850	+	0.786296i	$0.288004\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	−1.89885	+	4.32231i	−0.256040	+	0.582820i
$56$	−1.11500			−0.148998
$57$	−4.16258	+	4.16258i	−0.551348	+	0.551348i
$58$	3.01839	−	5.92392i	0.396334	−	0.777849i
$59$	−1.55412	−	2.13906i	−0.202329	−	0.278482i	0.695780	−	0.718255i	$-0.255059\pi$
$59$	−1.55412	−	2.13906i	−0.202329	−	0.278482i	−0.898109	+	0.439773i	$0.855059\pi$
$60$	1.20856	−	1.88133i	0.156024	−	0.242878i
$61$			2.43707i			0.312035i	0.987754	+	0.156017i	$0.0498656\pi$
$61$			2.43707i			0.312035i	−0.987754	+	0.156017i	$0.950134\pi$
$62$	4.85368	−	2.72797i	0.616418	−	0.346452i
$63$	−0.788424	+	0.788424i	−0.0993321	+	0.0993321i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	10.5543	−	8.63356i	1.30911	−	1.07086i
$66$	−0.652428	−	2.00797i	−0.0803083	−	0.247164i
$67$	−2.14235	−	2.14235i	−0.261729	−	0.261729i	0.564027	−	0.825756i	$-0.309251\pi$
$67$	−2.14235	−	2.14235i	−0.261729	−	0.261729i	−0.825756	+	0.564027i	$0.809251\pi$
$68$	1.42627	+	1.42627i	0.172961	+	0.172961i
$69$	0.998029	−	0.324279i	0.120149	−	0.0390386i
$70$	2.15299	−	1.25728i	0.257332	−	0.150273i
$71$	−2.29729	+	7.07034i	−0.272639	+	0.839095i	0.717196	+	0.696871i	$0.245425\pi$
$71$	−2.29729	+	7.07034i	−0.272639	+	0.839095i	−0.989835	+	0.142224i	$0.954575\pi$
$72$	0.156434	+	0.987688i	0.0184360	+	0.116400i
$73$	6.81262	−	13.3705i	0.797357	−	1.56490i	−0.0275428	−	0.999621i	$-0.508768\pi$
$73$	6.81262	−	13.3705i	0.797357	−	1.56490i	0.824899	−	0.565280i	$-0.191232\pi$
$74$	−6.31665	−	4.58932i	−0.734296	−	0.533497i
$75$	−0.212257	+	4.99549i	−0.0245094	+	0.576830i
$76$	−1.81912	+	5.59866i	−0.208667	+	0.642211i
$77$	0.368263	−	2.32512i	0.0419674	−	0.264972i
$78$	−0.953949	+	6.02300i	−0.108013	+	0.681970i
$79$	−0.918307	+	2.82626i	−0.103318	+	0.317979i	−0.989332	−	0.145679i	$-0.953463\pi$
$79$	−0.918307	+	2.82626i	−0.103318	+	0.317979i	0.886014	+	0.463658i	$0.153463\pi$
$80$	0.222727	−	2.22495i	0.0249016	−	0.248757i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	−4.50636	+	8.84424i	−0.497645	+	0.976683i
$83$	−2.50592	−	15.8218i	−0.275061	−	1.73666i	−0.608197	−	0.793786i	$-0.708107\pi$
$83$	−2.50592	−	15.8218i	−0.275061	−	1.73666i	0.333137	−	0.942879i	$-0.391893\pi$
$84$	−0.344554	+	1.06043i	−0.0375939	+	0.115702i
$85$	−4.36230	−	1.14577i	−0.473158	−	0.124276i
$86$	−12.0885	+	3.92780i	−1.30354	+	0.423546i
$87$	−4.70125	−	4.70125i	−0.504027	−	0.504027i
$88$	−1.49292	−	1.49292i	−0.159145	−	0.159145i
$89$	−4.24546	−	13.0662i	−0.450018	−	1.38501i	−0.876886	−	0.480699i	$-0.840383\pi$
$89$	−4.24546	−	13.0662i	−0.450018	−	1.38501i	0.426868	−	0.904314i	$-0.359617\pi$
$90$	−1.41578	−	1.73077i	−0.149237	−	0.182439i
$91$	−3.99656	+	5.50080i	−0.418954	+	0.576640i
$92$	0.742031	−	0.742031i	0.0773621	−	0.0773621i
$93$	−1.09458	−	5.45911i	−0.113503	−	0.566083i
$94$			4.12416i			0.425374i
$95$	−2.80046	−	12.8619i	−0.287322	−	1.31960i
$96$	0.587785	+	0.809017i	0.0599906	+	0.0825700i
$97$	−7.26239	+	14.2532i	−0.737384	+	1.44720i	0.151210	+	0.988502i	$0.451683\pi$
$97$	−7.26239	+	14.2532i	−0.737384	+	1.44720i	−0.888594	+	0.458695i	$0.848317\pi$
$98$	4.07065	−	4.07065i	0.411198	−	0.411198i
$99$	−2.11130			−0.212194
$100$	2.07878	+	4.54738i	0.207878	+	0.454738i
$101$	3.34929	−	10.3081i	0.333267	−	1.02569i	−0.634303	−	0.773085i	$-0.718713\pi$
$101$	3.34929	−	10.3081i	0.333267	−	1.02569i	0.967570	−	0.252605i	$-0.0812873\pi$
$102$	1.79721	−	0.915722i	0.177950	−	0.0906700i
$103$	12.0551	−	1.90934i	1.18783	−	0.188133i	0.468920	−	0.883241i	$-0.344643\pi$
$103$	12.0551	−	1.90934i	1.18783	−	0.188133i	0.718906	+	0.695108i	$0.244643\pi$
$104$	1.88441	+	5.79961i	0.184781	+	0.568699i
$105$	−0.530429	−	2.43614i	−0.0517646	−	0.237743i
$106$	−1.65634	−	2.27976i	−0.160878	−	0.221430i
$107$	10.7592	−	5.48209i	1.04013	−	0.529973i	0.151434	−	0.988467i	$-0.451611\pi$
$107$	10.7592	−	5.48209i	1.04013	−	0.529973i	0.888697	+	0.458494i	$0.151611\pi$
$108$	0.987688	+	0.156434i	0.0950404	+	0.0150529i
$109$	4.96140	+	6.82878i	0.475216	+	0.654079i	0.977577	−	0.210579i	$-0.0675350\pi$
$109$	4.96140	+	6.82878i	0.475216	+	0.654079i	−0.502361	+	0.864658i	$0.667535\pi$
$110$	4.56614	+	1.19931i	0.435364	+	0.114350i
$111$	−6.31665	+	4.58932i	−0.599550	+	0.435599i
$112$	0.174425	+	1.10127i	0.0164816	+	0.104061i
$113$	10.3670	+	5.28227i	0.975249	+	0.496914i	0.867594	−	0.497274i	$-0.165666\pi$
$113$	10.3670	+	5.28227i	0.975249	+	0.496914i	0.107656	+	0.994188i	$0.465666\pi$
$114$	4.76251	+	3.46016i	0.446050	+	0.324074i
$115$	−0.596099	+	2.26953i	−0.0555865	+	0.211635i
$116$	−6.32317	−	2.05452i	−0.587091	−	0.190757i
$117$	5.43342	+	2.76847i	0.502320	+	0.255945i
$118$	−1.86961	+	1.86961i	−0.172111	+	0.172111i
$119$	2.24901			0.206167
$120$	−2.04722	−	0.899373i	−0.186885	−	0.0821011i
$121$	−5.29292	+	3.84553i	−0.481175	+	0.349594i
$122$	2.40706	−	0.381242i	0.217925	−	0.0345160i
$123$	7.01883	+	7.01883i	0.632866	+	0.632866i
$124$	−3.45366	−	4.36717i	−0.310148	−	0.392184i
$125$	−9.14163	−	6.43666i	−0.817652	−	0.575712i
$126$	0.902054	+	0.655381i	0.0803614	+	0.0583860i
$127$	−1.42031	+	8.96750i	−0.126032	+	0.795737i	0.840991	+	0.541049i	$0.181973\pi$
$127$	−1.42031	+	8.96750i	−0.126032	+	0.795737i	−0.967023	+	0.254688i	$0.918027\pi$
$128$	0.891007	+	0.453990i	0.0787546	+	0.0401275i
$129$			12.7106i			1.11911i
$130$	−10.1783	−	9.07382i	−0.892698	−	0.795827i
$131$	3.01994	+	9.29442i	0.263853	+	0.812057i	0.991955	+	0.126588i	$0.0404027\pi$
$131$	3.01994	+	9.29442i	0.263853	+	0.812057i	−0.728102	+	0.685469i	$0.759597\pi$
$132$	−1.88118	+	0.958510i	−0.163736	+	0.0834276i
$133$	2.97989	+	5.84836i	0.258389	+	0.507117i
$134$	−1.78083	+	2.45111i	−0.153841	+	0.211743i
$135$	−2.08356	+	0.811654i	−0.179324	+	0.0698561i
$136$	1.18559	−	1.63183i	0.101664	−	0.139928i
$137$	0.0449275	−	0.283661i	0.00383841	−	0.0242348i	−0.985695	−	0.168540i	$-0.946095\pi$
$137$	0.0449275	−	0.283661i	0.00383841	−	0.0242348i	0.989533	+	0.144305i	$0.0460947\pi$
$138$	−0.476413	−	0.935013i	−0.0405550	−	0.0795936i
$139$	−10.1817	+	7.39744i	−0.863601	+	0.627443i	−0.928862	−	0.370425i	$-0.879212\pi$
$139$	−10.1817	+	7.39744i	−0.863601	+	0.627443i	0.0652614	+	0.997868i	$0.479212\pi$
$140$	−1.57860	−	1.92981i	−0.133416	−	0.163098i
$141$	3.92231	+	1.27444i	0.330318	+	0.107327i
$142$	7.34267	+	1.16296i	0.616183	+	0.0975938i
$143$	−12.7164	+	2.01407i	−1.06340	+	0.168425i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	14.5263	−	3.16286i	1.20634	−	0.262661i
$146$	−14.2716	−	4.63713i	−1.18113	−	0.383772i
$147$	−2.61352	−	5.12932i	−0.215560	−	0.423059i
$148$	−3.54467	+	6.95681i	−0.291370	+	0.571846i
$149$			21.1933i			1.73622i	0.496372	+	0.868110i	$0.334665\pi$
$149$			21.1933i			1.73622i	−0.496372	+	0.868110i	$0.665335\pi$
$150$	4.96719	−	0.571823i	0.405570	−	0.0466892i
$151$	3.83751	−	1.24688i	0.312292	−	0.101470i	−0.148678	−	0.988886i	$-0.547502\pi$
$151$	3.83751	−	1.24688i	0.312292	−	0.101470i	0.460970	+	0.887416i	$0.347502\pi$
$152$	5.81431	+	0.920895i	0.471602	+	0.0746945i
$153$	−0.315536	−	1.99222i	−0.0255096	−	0.161061i
$154$	−2.35410			−0.189699
$155$	11.5932	+	4.53837i	0.931191	+	0.364531i
$156$	6.09807			0.488237
$157$	0.479984	+	3.03050i	0.0383069	+	0.241860i	0.999411	−	0.0343273i	$-0.0109289\pi$
$157$	0.479984	+	3.03050i	0.0383069	+	0.241860i	−0.961104	+	0.276188i	$0.910929\pi$
$158$	2.93512	+	0.464877i	0.233505	+	0.0369836i
$159$	−2.68002	+	0.870792i	−0.212540	+	0.0690583i
$160$	−2.23240	+	0.128074i	−0.176486	+	0.0101251i
$161$		−	1.17007i		−	0.0922145i
$162$	0.453990	−	0.891007i	0.0356689	−	0.0700041i
$163$	−0.713328	−	1.39998i	−0.0558722	−	0.109655i	0.861382	−	0.507958i	$-0.169599\pi$
$163$	−0.713328	−	1.39998i	−0.0558722	−	0.109655i	−0.917254	+	0.398303i	$0.869599\pi$
$164$	9.44030	+	3.06734i	0.737164	+	0.239519i
$165$	2.55163	−	3.97205i	0.198644	−	0.309223i
$166$	−15.2350	+	4.95014i	−1.18246	+	0.384205i
$167$	−4.67503	+	0.740453i	−0.361765	+	0.0572980i	−0.334671	−	0.942335i	$-0.608625\pi$
$167$	−4.67503	+	0.740453i	−0.361765	+	0.0572980i	−0.0270938	+	0.999633i	$0.508625\pi$
$168$	1.10127	+	0.174425i	0.0849651	+	0.0134571i
$169$	23.0027	+	7.47404i	1.76944	+	0.574927i
$170$	−0.449252	+	4.48783i	−0.0344560	+	0.344201i
$171$	4.76251	−	3.46016i	0.364198	−	0.264605i
$172$	5.77051	+	11.3253i	0.439997	+	0.863543i
$173$	−0.836191	+	5.27950i	−0.0635744	+	0.401393i	0.935296	+	0.353867i	$0.115134\pi$
$173$	−0.836191	+	5.27950i	−0.0635744	+	0.401393i	−0.998870	+	0.0475256i	$0.984866\pi$
$174$	−3.90793	+	5.37881i	−0.296259	+	0.407766i
$175$	5.22423	+	1.94630i	0.394915	+	0.147127i
$176$	−1.24099	+	1.70808i	−0.0935432	+	0.128751i
$177$	1.20036	+	2.35584i	0.0902248	+	0.177076i
$178$	−12.2412	+	6.23719i	−0.917515	+	0.467497i
$179$	3.99575	+	12.2977i	0.298656	+	0.919170i	0.981969	+	0.189044i	$0.0605388\pi$
$179$	3.99575	+	12.2977i	0.298656	+	0.919170i	−0.683312	+	0.730126i	$0.739461\pi$
$180$	−1.48798	+	1.66911i	−0.110908	+	0.124408i
$181$			11.3262i			0.841873i	0.907090	+	0.420936i	$0.138298\pi$
$181$			11.3262i			0.841873i	−0.907090	+	0.420936i	$0.861702\pi$
$182$	6.05827	+	3.08684i	0.449069	+	0.228812i
$183$	0.381242	−	2.40706i	0.0281822	−	0.177935i
$184$	−0.848974	−	0.616816i	−0.0625872	−	0.0454723i
$185$	−0.999976	−	17.4301i	−0.0735197	−	1.28149i
$186$	−5.22067	+	1.93510i	−0.382798	+	0.141888i
$187$	3.01129	+	3.01129i	0.220207	+	0.220207i
$188$	4.07338	−	0.645161i	0.297082	−	0.0470532i
$189$	0.902054	−	0.655381i	0.0656148	−	0.0476719i
$190$	−12.2655	+	4.77803i	−0.889830	+	0.346635i
$191$	17.1362			1.23993			0.619967	−	0.784628i	$-0.287146\pi$
$191$	17.1362			1.23993			0.619967	+	0.784628i	$0.287146\pi$
$192$	0.707107	−	0.707107i	0.0510310	−	0.0510310i
$193$	−14.1263	−	7.19769i	−1.01683	−	0.518101i	−0.135588	−	0.990765i	$-0.543292\pi$
$193$	−14.1263	−	7.19769i	−1.01683	−	0.518101i	−0.881242	+	0.472664i	$0.843292\pi$
$194$	15.2138	+	4.94328i	1.09229	+	0.354907i
$195$	−11.7750	+	6.87620i	−0.843225	+	0.492415i
$196$	−4.65733	−	3.38375i	−0.332666	−	0.241696i
$197$	−8.48635	−	4.32401i	−0.604627	−	0.308073i	0.124746	−	0.992189i	$-0.460188\pi$
$197$	−8.48635	−	4.32401i	−0.604627	−	0.308073i	−0.729373	+	0.684116i	$0.760188\pi$
$198$	0.330280	+	2.08531i	0.0234720	+	0.148196i
$199$	6.48562	−	4.71208i	0.459754	−	0.334031i	−0.333681	−	0.942686i	$-0.608291\pi$
$199$	6.48562	−	4.71208i	0.459754	−	0.334031i	0.793435	+	0.608655i	$0.208291\pi$
$200$	4.16620	−	2.76456i	0.294595	−	0.195484i
$201$	1.78083	+	2.45111i	0.125610	+	0.172888i
$202$	−10.7051	−	1.69552i	−0.753207	−	0.119296i
$203$	−6.60517	+	3.36550i	−0.463592	+	0.236212i
$204$	−1.18559	−	1.63183i	−0.0830081	−	0.114251i
$205$	−21.6874	+	4.72206i	−1.51471	+	0.329803i
$206$	−3.77167	−	11.6080i	−0.262785	−	0.808768i
$207$	−1.03647	+	0.164161i	−0.0720397	+	0.0114100i
$208$	5.43342	−	2.76847i	0.376740	−	0.191959i
$209$	−3.84070	+	11.8205i	−0.265667	+	0.817638i
$210$	−2.32317	+	0.904995i	−0.160314	+	0.0624506i
$211$	20.5903			1.41750			0.708749	−	0.705461i	$-0.249260\pi$
$211$	20.5903			1.41750			0.708749	+	0.705461i	$0.249260\pi$
$212$	−1.99259	+	1.99259i	−0.136851	+	0.136851i
$213$	3.37505	−	6.62392i	0.231255	−	0.453863i
$214$	−7.09770	−	9.76915i	−0.485189	−	0.667805i
$215$	−23.9129	−	15.3615i	−1.63084	−	1.04765i
$216$		−	1.00000i		−	0.0680414i
$217$	−6.16614	−	0.720232i	−0.418585	−	0.0488926i
$218$	5.96858	−	5.96858i	0.404243	−	0.404243i
$219$	−8.82035	+	12.1402i	−0.596024	+	0.820357i
$220$	0.470243	−	4.69753i	0.0317038	−	0.316708i
$221$	−3.80095	−	11.6981i	−0.255680	−	0.786901i
$222$	5.52096	+	5.52096i	0.370542	+	0.370542i
$223$	17.1612	+	17.1612i	1.14920	+	1.14920i	0.986710	+	0.162492i	$0.0519533\pi$
$223$	17.1612	+	17.1612i	1.14920	+	1.14920i	0.162492	+	0.986710i	$0.448047\pi$
$224$	1.06043	−	0.344554i	0.0708529	−	0.0230215i
$225$	0.991111	−	4.90079i	0.0660741	−	0.326719i
$226$	3.59548	−	11.0657i	0.239167	−	0.736082i
$227$	3.10954	+	19.6328i	0.206387	+	1.30308i	0.845504	+	0.533968i	$0.179300\pi$
$227$	3.10954	+	19.6328i	0.206387	+	1.30308i	−0.639117	+	0.769109i	$0.720700\pi$
$228$	2.67254	−	5.24516i	0.176993	−	0.347369i
$229$	2.14331	+	1.55720i	0.141634	+	0.102903i	0.656346	−	0.754460i	$-0.272101\pi$
$229$	2.14331	+	1.55720i	0.141634	+	0.102903i	−0.514712	+	0.857363i	$0.672101\pi$
$230$	2.33484	+	0.233727i	0.153955	+	0.0154115i
$231$	−0.727457	+	2.23888i	−0.0478632	+	0.147308i
$232$	−1.04007	+	6.56671i	−0.0682836	+	0.431126i
$233$	2.62982	−	16.6040i	0.172285	−	1.08777i	−0.738308	−	0.674463i	$-0.764375\pi$
$233$	2.62982	−	16.6040i	0.172285	−	1.08777i	0.910594	−	0.413303i	$-0.135625\pi$
$234$	1.88441	−	5.79961i	0.123188	−	0.379133i
$235$	−7.13796	+	5.83892i	−0.465629	+	0.380889i
$236$	2.13906	+	1.55412i	0.139241	+	0.101165i
$237$	1.34913	−	2.64781i	0.0876351	−	0.171994i
$238$	−0.351823	−	2.22132i	−0.0228053	−	0.143987i
$239$	−6.39255	+	19.6743i	−0.413500	+	1.27262i	0.500086	+	0.865976i	$0.333302\pi$
$239$	−6.39255	+	19.6743i	−0.413500	+	1.27262i	−0.913586	+	0.406646i	$0.866698\pi$
$240$	−0.568043	+	2.16271i	−0.0366670	+	0.139603i
$241$	8.17945	−	2.65766i	0.526885	−	0.171195i	−0.0334828	−	0.999439i	$-0.510660\pi$
$241$	8.17945	−	2.65766i	0.526885	−	0.171195i	0.560367	+	0.828244i	$0.310660\pi$
$242$	4.62618	+	4.62618i	0.297382	+	0.297382i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−0.753096	−	2.31779i	−0.0482120	−	0.148381i
$245$	12.8085	+	1.28219i	0.818306	+	0.0819160i
$246$	5.83443	−	8.03040i	0.371990	−	0.512000i
$247$	25.3837	−	25.3837i	1.61513	−	1.61513i
$248$	−3.77313	+	4.09432i	−0.239594	+	0.259990i
$249$			16.0190i			1.01516i
$250$	−4.92735	+	10.0360i	−0.311633	+	0.634732i
$251$	−1.67520	−	2.30571i	−0.105737	−	0.145535i	0.752869	−	0.658170i	$-0.228669\pi$
$251$	−1.67520	−	2.30571i	−0.105737	−	0.145535i	−0.858606	+	0.512635i	$0.828669\pi$
$252$	0.506200	−	0.993473i	0.0318876	−	0.0625829i
$253$	1.56665	−	1.56665i	0.0984945	−	0.0984945i
$254$	9.07928			0.569685
$255$	4.12936	+	1.81408i	0.258590	+	0.113602i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	11.3855	−	5.80118i	0.710205	−	0.361868i	−0.0612750	−	0.998121i	$-0.519517\pi$
$257$	11.3855	−	5.80118i	0.710205	−	0.361868i	0.771480	+	0.636253i	$0.219517\pi$
$258$	12.5541	−	1.98838i	0.781587	−	0.123791i
$259$	2.69021	+	8.27963i	0.167162	+	0.514471i
$260$	−7.36987	+	11.4725i	−0.457060	+	0.711493i
$261$	3.90793	+	5.37881i	0.241895	+	0.332940i
$262$	8.70757	−	4.43673i	0.537955	−	0.274102i
$263$	6.09474	+	0.965311i	0.375817	+	0.0595236i	0.341486	−	0.939887i	$-0.389070\pi$
$263$	6.09474	+	0.965311i	0.375817	+	0.0595236i	0.0343315	+	0.999411i	$0.489070\pi$
$264$	1.24099	+	1.70808i	0.0763777	+	0.105125i
$265$	1.60071	−	6.09440i	0.0983310	−	0.374376i
$266$	5.31020	−	3.85808i	0.325589	−	0.236554i
$267$	2.14919	+	13.5695i	0.131528	+	0.830437i
$268$	2.69951	+	1.37547i	0.164899	+	0.0840203i
$269$	−21.0730	−	15.3105i	−1.28485	−	0.933496i	−0.285159	−	0.958480i	$-0.592046\pi$
$269$	−21.0730	−	15.3105i	−1.28485	−	0.933496i	−0.999688	+	0.0249849i	$0.992046\pi$
$270$	1.12760	+	1.93094i	0.0686237	+	0.117513i
$271$	−11.1796	−	3.63249i	−0.679115	−	0.220658i	−0.0509073	−	0.998703i	$-0.516211\pi$
$271$	−11.1796	−	3.63249i	−0.679115	−	0.220658i	−0.628208	+	0.778045i	$0.716211\pi$
$272$	−1.79721	−	0.915722i	−0.108972	−	0.0555238i
$273$	4.80787	−	4.80787i	0.290986	−	0.290986i
$274$	−0.287197			−0.0173502
$275$	4.38894	+	9.60089i	0.264663	+	0.578955i
$276$	−0.848974	+	0.616816i	−0.0511023	+	0.0371280i
$277$	24.6205	−	3.89951i	1.47930	−	0.234299i	0.635981	−	0.771705i	$-0.280596\pi$
$277$	24.6205	−	3.89951i	1.47930	−	0.234299i	0.843324	+	0.537406i	$0.180596\pi$
$278$	8.89914	+	8.89914i	0.533735	+	0.533735i
$279$	0.227113	+	5.56313i	0.0135969	+	0.333056i
$280$	−1.65910	+	1.86105i	−0.0991502	+	0.111219i
$281$	−0.575952	−	0.418454i	−0.0343584	−	0.0249628i	0.570474	−	0.821316i	$-0.306760\pi$
$281$	−0.575952	−	0.418454i	−0.0343584	−	0.0249628i	−0.604832	+	0.796353i	$0.706760\pi$
$282$	0.645161	−	4.07338i	0.0384188	−	0.242566i
$283$	−11.0001	−	5.60482i	−0.653887	−	0.333172i	0.0953793	−	0.995441i	$-0.469594\pi$
$283$	−11.0001	−	5.60482i	−0.653887	−	0.333172i	−0.749266	+	0.662269i	$0.769594\pi$
$284$		−	7.43420i		−	0.441138i
$285$	0.753942	+	13.1416i	0.0446597	+	0.778443i
$286$	3.97855	+	12.2447i	0.235257	+	0.724046i
$287$	9.86133	−	5.02460i	0.582096	−	0.296593i
$288$	−0.453990	−	0.891007i	−0.0267516	−	0.0525031i
$289$	7.60095	−	10.4618i	0.447115	−	0.615400i
$290$	−5.39634	−	13.8527i	−0.316884	−	0.813458i
$291$	9.40267	−	12.9417i	0.551194	−	0.758654i
$292$	−2.34747	+	14.8213i	−0.137375	+	0.867353i
$293$	10.8845	+	21.3621i	0.635881	+	1.24799i	0.953963	+	0.299923i	$0.0969610\pi$
$293$	10.8845	+	21.3621i	0.635881	+	1.24799i	−0.318083	+	0.948063i	$0.603039\pi$
$294$	−4.65733	+	3.38375i	−0.271621	+	0.197344i
$295$	−5.88282	−	0.588896i	−0.342511	−	0.0342868i
$296$	7.42567	+	2.41275i	0.431608	+	0.140238i
$297$	2.08531	+	0.330280i	0.121002	+	0.0191648i
$298$	20.9323	−	3.31536i	1.21258	−	0.192053i
$299$	−6.08606	+	1.97748i	−0.351966	+	0.114361i
$300$	−1.34182	−	4.81659i	−0.0774702	−	0.278086i
$301$	13.4787	+	4.37950i	0.776900	+	0.252430i
$302$	−1.83185	−	3.59520i	−0.105411	−	0.206881i
$303$	−4.92059	+	9.65720i	−0.282680	+	0.554792i
$304$		−	5.88678i		−	0.337630i
$305$	4.06772	+	3.62631i	0.232917	+	0.207642i
$306$	−1.91833	+	0.623303i	−0.109664	+	0.0356319i
$307$	−14.9903	−	2.37424i	−0.855544	−	0.135505i	−0.286771	−	0.957999i	$-0.592582\pi$
$307$	−14.9903	−	2.37424i	−0.855544	−	0.135505i	−0.568773	+	0.822494i	$0.692582\pi$
$308$	0.368263	+	2.32512i	0.0209837	+	0.132486i
$309$	−12.2054			−0.694340
$310$	2.66892	−	12.1605i	0.151584	−	0.690668i
$311$	−31.2189			−1.77026			−0.885130	−	0.465344i	$-0.845931\pi$
$311$	−31.2189			−1.77026			−0.885130	+	0.465344i	$0.845931\pi$
$312$	−0.953949	−	6.02300i	−0.0540067	−	0.340985i
$313$	−21.7660	−	3.44739i	−1.23029	−	0.194858i	−0.492753	−	0.870169i	$-0.664009\pi$
$313$	−21.7660	−	3.44739i	−1.23029	−	0.194858i	−0.737533	+	0.675311i	$0.764009\pi$
$314$	2.91811	−	0.948150i	0.164678	−	0.0535072i
$315$	0.142802	+	2.48912i	0.00804600	+	0.140246i
$316$		−	2.97170i		−	0.167171i
$317$	−4.18931	+	8.22198i	−0.235295	+	0.461792i	−0.978217	−	0.207586i	$-0.933439\pi$
$317$	−4.18931	+	8.22198i	−0.235295	+	0.461792i	0.742922	+	0.669378i	$0.233439\pi$
$318$	1.27932	+	2.51080i	0.0717406	+	0.140799i
$319$	−13.3501	−	4.33771i	−0.747462	−	0.242865i
$320$	0.475721	+	2.18488i	0.0265936	+	0.122138i
$321$	−11.4843	+	3.73148i	−0.640992	+	0.208271i
$322$	−1.15567	+	0.183039i	−0.0644027	+	0.0102004i
$323$	−11.7278	−	1.85749i	−0.652550	−	0.103354i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	1.29436	−	30.4629i	0.0717982	−	1.68978i
$326$	−1.27116	+	0.923552i	−0.0704030	+	0.0511508i
$327$	−3.83206	−	7.52085i	−0.211914	−	0.415904i
$328$	1.55279	−	9.80391i	0.0857383	−	0.541331i
$329$	2.70289	−	3.72022i	0.149015	−	0.205102i
$330$	−4.32231	−	1.89885i	−0.237935	−	0.104528i
$331$	−9.50156	+	13.0778i	−0.522253	+	0.718820i	−0.985925	−	0.167187i	$-0.946532\pi$
$331$	−9.50156	+	13.0778i	−0.522253	+	0.718820i	0.463672	+	0.886007i	$0.346532\pi$
$332$	7.27247	+	14.2730i	0.399129	+	0.783334i
$333$	6.95681	−	3.54467i	0.381231	−	0.194247i
$334$	1.46267	+	4.50164i	0.0800339	+	0.246319i
$335$	−6.76357	+	0.388030i	−0.369533	+	0.0212003i
$336$		−	1.11500i		−	0.0608283i
$337$	1.59430	+	0.812338i	0.0868472	+	0.0442508i	0.496875	−	0.867822i	$-0.334481\pi$
$337$	1.59430	+	0.812338i	0.0868472	+	0.0442508i	−0.410027	+	0.912073i	$0.634481\pi$
$338$	3.78360	−	23.8887i	0.205801	−	1.29938i
$339$	−9.41308	−	6.83900i	−0.511248	−	0.371444i
$340$	4.50286	−	0.258331i	0.244202	−	0.0140100i
$341$	−7.29172	−	9.22042i	−0.394869	−	0.499313i
$342$	−4.16258	−	4.16258i	−0.225087	−	0.225087i
$343$	−14.0487	+	2.22509i	−0.758558	+	0.120144i
$344$	10.2831	−	7.47112i	0.554428	−	0.402816i
$345$	0.943793	−	2.14834i	0.0508121	−	0.115663i
$346$	5.34531			0.287366
$347$	−7.81124	+	7.81124i	−0.419329	+	0.419329i	−0.884973	−	0.465643i	$-0.845823\pi$
$347$	−7.81124	+	7.81124i	−0.419329	+	0.419329i	0.465643	+	0.884973i	$0.345823\pi$
$348$	5.92392	+	3.01839i	0.317555	+	0.161803i
$349$	4.49459	+	1.46038i	0.240590	+	0.0781725i	0.426830	−	0.904332i	$-0.359630\pi$
$349$	4.49459	+	1.46038i	0.240590	+	0.0781725i	−0.186240	+	0.982504i	$0.559630\pi$
$350$	1.10509	−	5.46438i	0.0590695	−	0.292083i
$351$	−4.93345	−	3.58436i	−0.263328	−	0.191319i
$352$	1.88118	+	0.958510i	0.100267	+	0.0510888i
$353$	−0.850324	−	5.36873i	−0.0452582	−	0.285749i	0.954671	−	0.297663i	$-0.0962073\pi$
$353$	−0.850324	−	5.36873i	−0.0452582	−	0.285749i	−0.999929	+	0.0119147i	$0.996207\pi$
$354$	2.13906	−	1.55412i	0.113690	−	0.0826005i
$355$	8.38281	+	14.3550i	0.444914	+	0.761882i
$356$	8.07535	+	11.1148i	0.427992	+	0.589081i
$357$	−2.22132	−	0.351823i	−0.117565	−	0.0186205i
$358$	11.5212	−	5.87033i	0.608913	−	0.310257i
$359$	−18.9021	−	26.0165i	−0.997615	−	1.37310i	−0.926777	−	0.375611i	$-0.877433\pi$
$359$	−18.9021	−	26.0165i	−0.997615	−	1.37310i	−0.0708376	−	0.997488i	$-0.522567\pi$
$360$	1.88133	+	1.20856i	0.0991546	+	0.0636965i
$361$	−4.83741	−	14.8880i	−0.254601	−	0.783580i
$362$	11.1868	−	1.77181i	0.587965	−	0.0931245i
$363$	5.82933	−	2.97019i	0.305960	−	0.155895i
$364$	2.10112	−	6.46657i	0.110128	−	0.338941i
$365$	−12.1797	−	31.2660i	−0.637517	−	1.63654i
$366$	−2.43707			−0.127388
$367$	−8.74631	+	8.74631i	−0.456554	+	0.456554i	−0.897522	−	0.440969i	$-0.854635\pi$
$367$	−8.74631	+	8.74631i	−0.456554	+	0.456554i	0.440969	+	0.897522i	$0.354635\pi$
$368$	−0.476413	+	0.935013i	−0.0248348	+	0.0487409i
$369$	−5.83443	−	8.03040i	−0.303728	−	0.418046i
$370$	−17.0591	+	3.71434i	−0.886861	+	0.193099i
$371$			3.14201i			0.163125i
$372$	2.72797	+	4.85368i	0.141439	+	0.251651i
$373$	−23.3984	+	23.3984i	−1.21152	+	1.21152i	−0.240997	+	0.970526i	$0.577474\pi$
$373$	−23.3984	+	23.3984i	−1.21152	+	1.21152i	−0.970526	+	0.240997i	$0.922526\pi$
$374$	2.50314	−	3.44528i	0.129434	−	0.178151i
$375$	8.02217	+	7.78748i	0.414263	+	0.402144i
$376$	−1.27444	−	3.92231i	−0.0657240	−	0.202278i
$377$	28.6686	+	28.6686i	1.47651	+	1.47651i
$378$	−0.788424	−	0.788424i	−0.0405522	−	0.0405522i
$379$	12.3765	−	4.02137i	0.635738	−	0.206564i	0.0266228	−	0.999646i	$-0.491525\pi$
$379$	12.3765	−	4.02137i	0.635738	−	0.206564i	0.609115	+	0.793082i	$0.291525\pi$
$380$	6.63794	+	11.3670i	0.340519	+	0.583115i
$381$	2.80565	−	8.63491i	0.143738	−	0.442380i
$382$	−2.68070	−	16.9253i	−0.137156	−	0.865971i
$383$	4.86435	−	9.54682i	0.248556	−	0.487819i	−0.732694	−	0.680559i	$-0.761737\pi$
$383$	4.86435	−	9.54682i	0.248556	−	0.487819i	0.981250	+	0.192739i	$0.0617371\pi$
$384$	−0.809017	−	0.587785i	−0.0412850	−	0.0299953i
$385$	−3.33290	−	4.07440i	−0.169860	−	0.207651i
$386$	−4.89924	+	15.0783i	−0.249365	+	0.767466i
$387$	1.98838	−	12.5541i	0.101075	−	0.638163i
$388$	2.50245	−	15.7998i	0.127043	−	0.802115i
$389$	−2.67919	+	8.24570i	−0.135840	+	0.418073i	−0.995720	−	0.0924236i	$-0.970539\pi$
$389$	−2.67919	+	8.24570i	−0.135840	+	0.418073i	0.859879	+	0.510497i	$0.170539\pi$
$390$	8.63356	+	10.5543i	0.437177	+	0.534440i
$391$	1.71243	+	1.24415i	0.0866011	+	0.0629194i
$392$	−2.61352	+	5.12932i	−0.132003	+	0.259070i
$393$	−1.52879	−	9.65241i	−0.0771174	−	0.486900i
$394$	−2.94322	+	9.05829i	−0.148277	+	0.456350i
$395$	3.35090	+	5.73817i	0.168602	+	0.288719i
$396$	2.00797	−	0.652428i	0.100904	−	0.0327857i
$397$	−10.8240	−	10.8240i	−0.543243	−	0.543243i	0.381235	−	0.924478i	$-0.375499\pi$
$397$	−10.8240	−	10.8240i	−0.543243	−	0.543243i	−0.924478	+	0.381235i	$0.875499\pi$
$398$	−5.66864	−	5.66864i	−0.284143	−	0.284143i
$399$	−2.02831	−	6.24251i	−0.101543	−	0.312516i
$400$	−3.38226	−	3.68244i	−0.169113	−	0.184122i
$401$	−2.93881	+	4.04492i	−0.146757	+	0.201994i	−0.876067	−	0.482190i	$-0.839841\pi$
$401$	−2.93881	+	4.04492i	−0.146757	+	0.201994i	0.729310	+	0.684184i	$0.239841\pi$
$402$	2.14235	−	2.14235i	0.106851	−	0.106851i
$403$	6.67485	+	33.2901i	0.332498	+	1.65830i
$404$			10.8385i			0.539237i
$405$	2.18488	−	0.475721i	0.108567	−	0.0236388i
$406$	4.35735	+	5.99737i	0.216251	+	0.297645i
$407$	−7.48387	+	14.6879i	−0.370962	+	0.728053i
$408$	−1.42627	+	1.42627i	−0.0706109	+	0.0706109i
$409$	12.4329			0.614769			0.307385	−	0.951585i	$-0.400546\pi$
$409$	12.4329			0.614769			0.307385	+	0.951585i	$0.400546\pi$
$410$	8.05658	+	20.6817i	0.397886	+	1.02139i
$411$	−0.0887487	+	0.273140i	−0.00437765	+	0.0134730i
$412$	−10.8751	+	5.54113i	−0.535776	+	0.272992i
$413$	2.91180	−	0.461183i	0.143280	−	0.0226933i
$414$	0.324279	+	0.998029i	0.0159375	+	0.0490505i
$415$	−30.1370	−	19.3598i	−1.47936	−	0.950337i
$416$	−3.58436	−	4.93345i	−0.175738	−	0.241882i
$417$	11.2136	−	5.71360i	0.549131	−	0.279796i
$418$	12.2757	+	1.94429i	0.600426	+	0.0950982i
$419$	0.326198	+	0.448973i	0.0159358	+	0.0219338i	0.816911	−	0.576764i	$-0.195685\pi$
$419$	0.326198	+	0.448973i	0.0159358	+	0.0219338i	−0.800975	+	0.598698i	$0.795685\pi$
$420$	1.25728	+	2.15299i	0.0613488	+	0.105055i
$421$	−30.4336	+	22.1113i	−1.48324	+	1.07764i	−0.506746	+	0.862095i	$0.669152\pi$
$421$	−30.4336	+	22.1113i	−1.48324	+	1.07764i	−0.976495	+	0.215542i	$0.930848\pi$
$422$	−3.22104	−	20.3368i	−0.156798	−	0.989982i
$423$	−3.67465	−	1.87233i	−0.178668	−	0.0910357i
$424$	2.27976	+	1.65634i	0.110715	+	0.0804392i
$425$	−8.40344	+	5.57625i	−0.407627	+	0.270488i
$426$	−7.07034	−	2.29729i	−0.342559	−	0.111304i
$427$	−2.42116	−	1.23364i	−0.117168	−	0.0597002i
$428$	−8.53855	+	8.53855i	−0.412726	+	0.412726i
$429$	12.8749			0.621605
$430$	−11.4316	+	26.0215i	−0.551280	+	1.25487i
$431$	−17.3443	+	12.6014i	−0.835448	+	0.606988i	−0.921095	−	0.389337i	$-0.872704\pi$
$431$	−17.3443	+	12.6014i	−0.835448	+	0.606988i	0.0856476	+	0.996325i	$0.472704\pi$
$432$	−0.987688	+	0.156434i	−0.0475202	+	0.00752646i
$433$	−7.65757	−	7.65757i	−0.367999	−	0.367999i	0.498748	−	0.866747i	$-0.333793\pi$
$433$	−7.65757	−	7.65757i	−0.367999	−	0.367999i	−0.866747	+	0.498748i	$0.833793\pi$
$434$	0.253232	+	6.20289i	0.0121555	+	0.297748i
$435$	−14.8422	+	0.851507i	−0.711631	+	0.0408267i
$436$	−6.82878	−	4.96140i	−0.327039	−	0.237608i
$437$	−0.966379	+	6.10147i	−0.0462282	+	0.291873i
$438$	13.3705	+	6.81262i	0.638868	+	0.325519i
$439$			4.86001i			0.231955i	0.993252	+	0.115978i	$0.0370001\pi$
$439$			4.86001i			0.231955i	−0.993252	+	0.115978i	$0.963000\pi$
$440$	−4.71326	+	0.270402i	−0.224696	+	0.0128909i
$441$	1.77894	+	5.47502i	0.0847115	+	0.260715i
$442$	−10.9595	+	5.58414i	−0.521290	+	0.265611i
$443$	11.8190	+	23.1961i	0.561537	+	1.10208i	0.980946	+	0.194281i	$0.0622374\pi$
$443$	11.8190	+	23.1961i	0.561537	+	1.10208i	−0.419409	+	0.907797i	$0.637763\pi$
$444$	4.58932	−	6.31665i	0.217799	−	0.299775i
$445$	−28.1260	−	12.3561i	−1.33330	−	0.585736i
$446$	14.2654	−	19.6346i	0.675484	−	0.929724i
$447$	3.31536	−	20.9323i	0.156811	−	0.990065i
$448$	−0.506200	−	0.993473i	−0.0239157	−	0.0469372i
$449$	−29.3109	+	21.2956i	−1.38327	+	1.00500i	−0.386701	+	0.922205i	$0.626385\pi$
$449$	−29.3109	+	21.2956i	−1.38327	+	1.00500i	−0.996566	+	0.0827970i	$0.973615\pi$
$450$	−4.99549	−	0.212257i	−0.235490	−	0.0100059i
$451$	19.9313	+	6.47608i	0.938529	+	0.304947i
$452$	−11.4920	−	1.82015i	−0.540536	−	0.0856125i
$453$	−3.98531	+	0.631212i	−0.187246	+	0.0296569i
$454$	18.9047	−	6.14251i	0.887241	−	0.288282i
$455$	3.23460	+	14.8558i	0.151640	+	0.696449i
$456$	−5.59866	−	1.81912i	−0.262181	−	0.0851879i
$457$	−12.8789	−	25.2762i	−0.602448	−	1.18237i	−0.967852	−	0.251522i	$-0.919069\pi$
$457$	−12.8789	−	25.2762i	−0.602448	−	1.18237i	0.365404	−	0.930849i	$-0.380931\pi$
$458$	1.20274	−	2.36052i	0.0562005	−	0.110300i
$459$			2.01705i			0.0941479i
$460$	−0.134399	−	2.34266i	−0.00626640	−	0.109227i
$461$	14.5068	−	4.71354i	0.675648	−	0.219531i	0.0489591	−	0.998801i	$-0.484410\pi$
$461$	14.5068	−	4.71354i	0.675648	−	0.219531i	0.626689	+	0.779269i	$0.284410\pi$
$462$	2.32512	+	0.368263i	0.108174	+	0.0171331i
$463$	−5.66063	−	35.7398i	−0.263072	−	1.66097i	−0.666160	−	0.745809i	$-0.732063\pi$
$463$	−5.66063	−	35.7398i	−0.263072	−	1.66097i	0.403088	−	0.915161i	$-0.367937\pi$
$464$	6.64857			0.308652
$465$	−10.7405	−	6.29608i	−0.498081	−	0.291974i
$466$	−16.8110			−0.778755
$467$	−3.64160	−	22.9922i	−0.168513	−	1.06395i	−0.916441	−	0.400170i	$-0.868951\pi$
$467$	−3.64160	−	22.9922i	−0.168513	−	1.06395i	0.747928	−	0.663780i	$-0.231049\pi$
$468$	−6.02300	−	0.953949i	−0.278413	−	0.0440963i
$469$	3.21282	−	1.04391i	0.148354	−	0.0482032i
$470$	6.88365	+	6.13667i	0.317519	+	0.283064i
$471$		−	3.06828i		−	0.141379i
$472$	1.20036	−	2.35584i	0.0552512	−	0.108437i
$473$	12.1833	+	23.9110i	0.560187	+	1.09943i
$474$	−2.82626	−	0.918307i	−0.129814	−	0.0421792i
$475$	−25.6349	−	14.4640i	−1.17621	−	0.663653i
$476$	−2.13894	+	0.694983i	−0.0980381	+	0.0318545i
$477$	2.78325	−	0.440823i	0.127436	−	0.0201839i
$478$	20.4321	+	3.23612i	0.934540	+	0.148017i
$479$	11.9223	+	3.87380i	0.544745	+	0.176998i	0.568446	−	0.822721i	$-0.307545\pi$
$479$	11.9223	+	3.87380i	0.544745	+	0.176998i	−0.0237009	+	0.999719i	$0.507545\pi$
$480$	2.22495	+	0.222727i	0.101555	+	0.0101660i
$481$	38.5194	−	27.9860i	1.75633	−	1.27605i
$482$	−3.90449	−	7.66300i	−0.177845	−	0.349040i
$483$	−0.183039	+	1.15567i	−0.00832858	+	0.0525846i
$484$	3.84553	−	5.29292i	0.174797	−	0.240587i
$485$	12.9839	+	33.3302i	0.589566	+	1.51345i
$486$	−0.587785	+	0.809017i	−0.0266625	+	0.0366978i
$487$	16.7869	+	32.9461i	0.760687	+	1.49293i	0.866842	+	0.498583i	$0.166146\pi$
$487$	16.7869	+	32.9461i	0.760687	+	1.49293i	−0.106155	+	0.994350i	$0.533854\pi$
$488$	−2.17144	+	1.10641i	−0.0982967	+	0.0500846i
$489$	0.485540	+	1.49434i	0.0219569	+	0.0675763i
$490$	−0.737292	−	12.8514i	−0.0333074	−	0.580567i
$491$		−	16.2822i		−	0.734806i	−0.930062	−	0.367403i	$-0.880247\pi$
$491$		−	16.2822i		−	0.734806i	0.930062	−	0.367403i	$-0.119753\pi$
$492$	−8.84424	−	4.50636i	−0.398729	−	0.203163i
$493$	2.09787	−	13.2454i	0.0944831	−	0.596543i
$494$	−29.0421	−	21.1003i	−1.30667	−	0.949349i
$495$	−3.14158	+	3.52398i	−0.141203	+	0.158391i
$496$	4.63416	+	3.08619i	0.208080	+	0.138574i
$497$	−5.86130	−	5.86130i	−0.262915	−	0.262915i
$498$	15.8218	−	2.50592i	0.708990	−	0.112293i
$499$	4.35866	−	3.16675i	0.195120	−	0.141763i	−0.485936	−	0.873995i	$-0.661521\pi$
$499$	4.35866	−	3.16675i	0.195120	−	0.141763i	0.681056	+	0.732231i	$0.261521\pi$
$500$	10.6832	+	3.29671i	0.477769	+	0.147433i
$501$	4.73331			0.211469
$502$	−2.01526	+	2.01526i	−0.0899456	+	0.0899456i
$503$	25.9694	+	13.2321i	1.15792	+	0.589990i	0.924048	−	0.382277i	$-0.124860\pi$
$503$	25.9694	+	13.2321i	1.15792	+	0.589990i	0.233873	+	0.972267i	$0.424860\pi$
$504$	−1.06043	−	0.344554i	−0.0472352	−	0.0153477i
$505$	−12.2215	−	20.9285i	−0.543852	−	0.931306i
$506$	−1.79244	−	1.30228i	−0.0796837	−	0.0578936i
$507$	−21.5503	−	10.9804i	−0.957084	−	0.487659i
$508$	−1.42031	−	8.96750i	−0.0630162	−	0.397869i
$509$	2.10558	−	1.52979i	0.0933282	−	0.0678069i	−0.540143	−	0.841574i	$-0.681630\pi$
$509$	2.10558	−	1.52979i	0.0933282	−	0.0678069i	0.633471	+	0.773767i	$0.281630\pi$
$510$	1.14577	−	4.36230i	0.0507357	−	0.193166i
$511$	9.83470	+	13.5363i	0.435061	+	0.598811i
$512$	−0.987688	−	0.156434i	−0.0436501	−	0.00691349i
$513$	−5.24516	+	2.67254i	−0.231579	+	0.117996i
$514$	−7.51084	−	10.3378i	−0.331289	−	0.455980i
$515$	14.7509	−	22.9623i	0.650002	−	1.01184i
$516$	−3.92780	−	12.0885i	−0.172912	−	0.532168i
$517$	8.60014	−	1.36213i	0.378234	−	0.0599063i
$518$	7.75685	−	3.95231i	0.340816	−	0.173655i
$519$	1.65179	−	5.08369i	0.0725056	−	0.223149i
$520$	12.4841	+	5.48444i	0.547465	+	0.240509i
$521$	18.4069			0.806423			0.403211	−	0.915107i	$-0.367894\pi$
$521$	18.4069			0.806423			0.403211	+	0.915107i	$0.367894\pi$
$522$	4.70125	−	4.70125i	0.205768	−	0.205768i
$523$	1.32952	−	2.60933i	0.0581359	−	0.114098i	−0.860110	−	0.510108i	$-0.829605\pi$
$523$	1.32952	−	2.60933i	0.0581359	−	0.114098i	0.918246	+	0.396010i	$0.129605\pi$
$524$	−5.74427	−	7.90631i	−0.250939	−	0.345389i
$525$	−4.85544	−	2.73959i	−0.211909	−	0.119565i
$526$		−	6.17071i		−	0.269056i
$527$	7.61061	−	8.25846i	0.331523	−	0.359744i
$528$	1.49292	−	1.49292i	0.0649708	−	0.0649708i
$529$	−12.8718	+	17.7165i	−0.559643	+	0.770282i
$530$	−6.26977	−	0.627631i	−0.272342	−	0.0272626i
$531$	−0.817049	−	2.51462i	−0.0354569	−	0.109125i
$532$	−4.64128	−	4.64128i	−0.201225	−	0.201225i
$533$	−42.8013	−	42.8013i	−1.85393	−	1.85393i
$534$	13.0662	−	4.24546i	0.565429	−	0.183719i
$535$	6.85931	−	26.1155i	0.296554	−	1.12907i
$536$	0.936240	−	2.88145i	0.0404394	−	0.124460i
$537$	−2.02278	−	12.7713i	−0.0872893	−	0.551123i
$538$	−11.8254	+	23.2087i	−0.509830	+	1.00060i
$539$	−9.83302	−	7.14411i	−0.423538	−	0.307718i
$540$	1.73077	−	1.41578i	0.0744804	−	0.0609256i
$541$	−3.00224	+	9.23995i	−0.129076	+	0.397257i	−0.994622	−	0.103574i	$-0.966972\pi$
$541$	−3.00224	+	9.23995i	−0.129076	+	0.397257i	0.865545	+	0.500831i	$0.166972\pi$
$542$	−1.83888	+	11.6103i	−0.0789868	+	0.498703i
$543$	1.77181	−	11.1868i	0.0760358	−	0.480071i
$544$	−0.623303	+	1.91833i	−0.0267239	+	0.0822477i
$545$	18.7804	+	1.88000i	0.804465	+	0.0805304i
$546$	−5.50080	−	3.99656i	−0.235412	−	0.171037i
$547$	−7.44211	+	14.6060i	−0.318202	+	0.624506i	−0.993601	−	0.112946i	$-0.963971\pi$
$547$	−7.44211	+	14.6060i	−0.318202	+	0.624506i	0.675400	+	0.737452i	$0.263971\pi$
$548$	0.0449275	+	0.283661i	0.00191921	+	0.0121174i
$549$	−0.753096	+	2.31779i	−0.0321413	+	0.0989209i
$550$	8.79610	−	5.83681i	0.375067	−	0.248882i
$551$	37.2231	−	12.0945i	1.58576	−	0.515244i
$552$	0.742031	+	0.742031i	0.0315829	+	0.0315829i
$553$	−2.34296	−	2.34296i	−0.0996329	−	0.0996329i
$554$	−7.70300	−	23.7074i	−0.327269	−	1.00723i
$555$	−1.73901	+	17.3720i	−0.0738168	+	0.737399i
$556$	7.39744	−	10.1817i	0.313721	−	0.431800i
$557$	−18.8702	+	18.8702i	−0.799555	+	0.799555i	−0.983025	−	0.183470i	$-0.941267\pi$
$557$	−18.8702	+	18.8702i	−0.799555	+	0.799555i	0.183470	+	0.983025i	$0.441267\pi$
$558$	5.45911	−	1.09458i	0.231103	−	0.0463374i
$559$		−	77.5104i		−	3.27834i
$560$	2.09768	+	1.34754i	0.0886432	+	0.0569440i
$561$	−2.50314	−	3.44528i	−0.105683	−	0.145460i
$562$	−0.323203	+	0.634322i	−0.0136335	+	0.0267572i
$563$	−23.0314	+	23.0314i	−0.970658	+	0.970658i	−0.999582	−	0.0289235i	$-0.990792\pi$
$563$	−23.0314	+	23.0314i	−0.970658	+	0.970658i	0.0289235	+	0.999582i	$0.490792\pi$
$564$	−4.12416			−0.173658
$565$	24.2426	−	9.44376i	1.01990	−	0.397302i
$566$	−3.81502	+	11.7414i	−0.160357	+	0.493529i
$567$	−0.993473	+	0.506200i	−0.0417219	+	0.0212584i
$568$	−7.34267	+	1.16296i	−0.308092	+	0.0487969i
$569$	−10.1355	−	31.1937i	−0.424901	−	1.30771i	−0.903089	−	0.429453i	$-0.858706\pi$
$569$	−10.1355	−	31.1937i	−0.424901	−	1.30771i	0.478189	−	0.878257i	$-0.341294\pi$
$570$	12.8619	−	2.80046i	0.538726	−	0.117299i
$571$	−14.2799	−	19.6545i	−0.597593	−	0.822517i	0.397892	−	0.917432i	$-0.369742\pi$
$571$	−14.2799	−	19.6545i	−0.597593	−	0.822517i	−0.995485	+	0.0949155i	$0.969742\pi$
$572$	11.4716	−	5.84507i	0.479651	−	0.244395i
$573$	−16.9253	−	2.68070i	−0.707063	−	0.111988i
$574$	−6.50539	−	8.95390i	−0.271530	−	0.373729i
$575$	2.90110	+	4.37197i	0.120984	+	0.182324i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	1.51502	+	9.56544i	0.0630710	+	0.398215i	0.998947	+	0.0458844i	$0.0146106\pi$
$577$	1.51502	+	9.56544i	0.0630710	+	0.398215i	−0.935876	+	0.352330i	$0.885389\pi$
$578$	−11.5221	−	5.87078i	−0.479254	−	0.244192i
$579$	12.8264	+	9.31891i	0.533046	+	0.387280i
$580$	−12.8380	+	7.49694i	−0.533067	+	0.311293i
$581$	16.9870	+	5.51941i	0.704739	+	0.228984i
$582$	−14.2532	−	7.26239i	−0.590816	−	0.301036i
$583$	−4.20695	+	4.20695i	−0.174234	+	0.174234i
$584$	15.0061			0.620956
$585$	12.7057	−	4.94953i	0.525316	−	0.204638i
$586$	19.3964	−	14.0923i	0.801256	−	0.582147i
$587$	−47.0225	+	7.44764i	−1.94083	+	0.307397i	−0.999543	−	0.0302196i	$-0.990379\pi$
$587$	−47.0225	+	7.44764i	−1.94083	+	0.307397i	−0.941284	+	0.337616i	$0.890379\pi$
$588$	4.07065	+	4.07065i	0.167871	+	0.167871i
$589$	31.5592	+	8.84845i	1.30038	+	0.364594i
$590$	0.338630	+	5.90252i	0.0139412	+	0.243003i
$591$	7.70544	+	5.59833i	0.316960	+	0.230285i
$592$	1.22141	−	7.71168i	0.0501997	−	0.316948i
$593$	28.3665	+	14.4535i	1.16487	+	0.593532i	0.926002	−	0.377519i	$-0.123223\pi$
$593$	28.3665	+	14.4535i	1.16487	+	0.593532i	0.238871	+	0.971051i	$0.423223\pi$
$594$		−	2.11130i		−	0.0866277i
$595$	3.34649	−	3.75384i	0.137193	−	0.153892i
$596$	−6.54908	−	20.1560i	−0.268261	−	0.825621i
$597$	−7.14291	+	3.63949i	−0.292340	+	0.148955i
$598$	2.90520	+	5.70178i	0.118803	+	0.233163i
$599$	−1.04397	+	1.43690i	−0.0426554	+	0.0587101i	−0.829812	−	0.558043i	$-0.811552\pi$
$599$	−1.04397	+	1.43690i	−0.0426554	+	0.0587101i	0.787157	+	0.616753i	$0.211552\pi$
$600$	−4.54738	+	2.07878i	−0.185646	+	0.0848660i
$601$	−26.8100	+	36.9008i	−1.09360	+	1.50521i	−0.249998	+	0.968246i	$0.580430\pi$
$601$	−26.8100	+	36.9008i	−1.09360	+	1.50521i	−0.843603	+	0.536967i	$0.819570\pi$
$602$	2.21705	−	13.9979i	0.0903600	−	0.570511i
$603$	−1.37547	−	2.69951i	−0.0560135	−	0.109933i
$604$	−3.26438	+	2.37171i	−0.132826	+	0.0965035i
$605$	−1.45717	+	14.5565i	−0.0592424	+	0.591807i
$606$	10.3081	+	3.34929i	0.418736	+	0.136056i
$607$	10.4429	+	1.65400i	0.423865	+	0.0671336i	0.364723	−	0.931116i	$-0.381164\pi$
$607$	10.4429	+	1.65400i	0.423865	+	0.0671336i	0.0591417	+	0.998250i	$0.481164\pi$
$608$	−5.81431	+	0.920895i	−0.235801	+	0.0373472i
$609$	7.05033	−	2.29079i	0.285694	−	0.0928276i
$610$	2.94533	−	4.58492i	0.119253	−	0.185638i
$611$	−23.9185	−	7.77160i	−0.967640	−	0.314405i
$612$	0.915722	+	1.79721i	0.0370159	+	0.0726478i
$613$	0.635949	−	1.24812i	0.0256857	−	0.0504111i	−0.877807	−	0.479014i	$-0.840994\pi$
$613$	0.635949	−	1.24812i	0.0256857	−	0.0504111i	0.903493	+	0.428603i	$0.140994\pi$
$614$			15.1772i			0.612502i
$615$	22.1590	−	1.27128i	0.893539	−	0.0512628i
$616$	2.23888	−	0.727457i	0.0902072	−	0.0293101i
$617$	−14.4238	−	2.28451i	−0.580681	−	0.0919709i	−0.140818	−	0.990036i	$-0.544973\pi$
$617$	−14.4238	−	2.28451i	−0.580681	−	0.0919709i	−0.439863	+	0.898065i	$0.644973\pi$
$618$	1.90934	+	12.0551i	0.0768050	+	0.484928i
$619$	9.27234			0.372687			0.186343	−	0.982485i	$-0.440336\pi$
$619$	9.27234			0.372687			0.186343	+	0.982485i	$0.440336\pi$
$620$	−12.4283	−	0.733743i	−0.499131	−	0.0294678i
$621$	1.04939			0.0421106
$622$	4.88371	+	30.8345i	0.195819	+	1.23635i
$623$	15.1300	+	2.39635i	0.606169	+	0.0960077i
$624$	−5.79961	+	1.88441i	−0.232170	+	0.0754367i
$625$	−24.3460	+	5.68071i	−0.973841	+	0.227229i
$626$			22.0373i			0.880788i
$627$	5.64254	−	11.0741i	0.225341	−	0.442257i
$628$	−1.39297	−	2.73386i	−0.0555855	−	0.109093i
$629$	−14.9780	−	4.86663i	−0.597210	−	0.194045i
$630$	2.43614	−	0.530429i	0.0970581	−	0.0211328i
$631$	35.2427	−	11.4510i	1.40299	−	0.455859i	0.492833	−	0.870124i	$-0.335962\pi$
$631$	35.2427	−	11.4510i	1.40299	−	0.455859i	0.910156	+	0.414266i	$0.135962\pi$
$632$	−2.93512	+	0.464877i	−0.116753	+	0.0184918i
$633$	−20.3368	−	3.22104i	−0.808317	−	0.128025i
$634$	8.77610	+	2.85153i	0.348544	+	0.113249i
$635$	12.8543	+	15.7141i	0.510108	+	0.623596i
$636$	2.27976	−	1.65634i	0.0903985	−	0.0656783i
$637$	15.9374	+	31.2790i	0.631465	+	1.23932i
$638$	−2.19589	+	13.8643i	−0.0869362	+	0.548893i
$639$	−4.36971	+	6.01439i	−0.172863	+	0.237926i
$640$	2.08356	−	0.811654i	0.0823599	−	0.0320834i
$641$	3.65105	−	5.02523i	0.144208	−	0.198485i	−0.730803	−	0.682588i	$-0.760854\pi$
$641$	3.65105	−	5.02523i	0.144208	−	0.198485i	0.875011	+	0.484104i	$0.160854\pi$
$642$	5.48209	+	10.7592i	0.216361	+	0.424632i
$643$	−4.80984	+	2.45074i	−0.189682	+	0.0966476i	−0.546252	−	0.837621i	$-0.683946\pi$
$643$	−4.80984	+	2.45074i	−0.189682	+	0.0966476i	0.356571	+	0.934268i	$0.383946\pi$
$644$	0.361572	+	1.11280i	0.0142479	+	0.0438506i
$645$	21.2154	+	18.9132i	0.835355	+	0.744706i
$646$			11.8739i			0.467174i
$647$	9.13784	+	4.65596i	0.359245	+	0.183045i	0.624292	−	0.781191i	$-0.285387\pi$
$647$	9.13784	+	4.65596i	0.359245	+	0.183045i	−0.265047	+	0.964236i	$0.585387\pi$
$648$	−0.156434	+	0.987688i	−0.00614533	+	0.0388001i
$649$	4.51620	+	3.28121i	0.177277	+	0.128799i
$650$	−30.2903	+	3.48702i	−1.18808	+	0.136772i
$651$	5.97756	+	1.67596i	0.234279	+	0.0656861i
$652$	1.11103	+	1.11103i	0.0435115	+	0.0435115i
$653$	−17.6611	+	2.79724i	−0.691131	+	0.109464i	−0.492113	−	0.870532i	$-0.663775\pi$
$653$	−17.6611	+	2.79724i	−0.691131	+	0.109464i	−0.199018	+	0.979996i	$0.563775\pi$
$654$	−6.82878	+	4.96140i	−0.267027	+	0.194006i
$655$	20.0070	+	8.78933i	0.781737	+	0.343427i
$656$	−9.92612			−0.387550
$657$	10.6109	−	10.6109i	0.413971	−	0.413971i
$658$	−4.09724	−	2.08765i	−0.159727	−	0.0813850i
$659$	16.2560	+	5.28190i	0.633244	+	0.205753i	0.608012	−	0.793928i	$-0.291967\pi$
$659$	16.2560	+	5.28190i	0.633244	+	0.205753i	0.0252325	+	0.999682i	$0.491967\pi$
$660$	−1.19931	+	4.56614i	−0.0466831	+	0.177737i
$661$	15.0356	+	10.9240i	0.584819	+	0.424896i	0.840458	−	0.541877i	$-0.182286\pi$
$661$	15.0356	+	10.9240i	0.584819	+	0.424896i	−0.255639	+	0.966772i	$0.582286\pi$
$662$	14.4031	+	7.33877i	0.559794	+	0.285229i
$663$	1.92416	+	12.1487i	0.0747284	+	0.471816i
$664$	12.9596	−	9.41572i	0.502931	−	0.365401i
$665$	14.1955	+	3.72850i	0.550479	+	0.144585i
$666$	−4.58932	−	6.31665i	−0.177832	−	0.244765i
$667$	−6.89105	−	1.09143i	−0.266822	−	0.0422605i
$668$	4.21741	−	2.14888i	0.163176	−	0.0831426i
$669$	−14.2654	−	19.6346i	−0.551530	−	0.759117i
$670$	1.44131	+	6.61960i	0.0556826	+	0.255737i
$671$	−1.59001	−	4.89355i	−0.0613817	−	0.188913i
$672$	−1.10127	+	0.174425i	−0.0424825	+	0.00672857i
$673$	1.80116	−	0.917736i	0.0694296	−	0.0353761i	−0.418931	−	0.908018i	$-0.637595\pi$
$673$	1.80116	−	0.917736i	0.0694296	−	0.0353761i	0.488361	+	0.872642i	$0.337595\pi$
$674$	0.552933	−	1.70175i	0.0212982	−	0.0655490i
$675$	−1.74556	+	4.68540i	−0.0671867	+	0.180341i
$676$	−24.1865			−0.930251
$677$	23.6046	−	23.6046i	0.907200	−	0.907200i	−0.0888454	−	0.996045i	$-0.528318\pi$
$677$	23.6046	−	23.6046i	0.907200	−	0.907200i	0.996045	+	0.0888454i	$0.0283177\pi$
$678$	−5.28227	+	10.3670i	−0.202864	+	0.398144i
$679$	−10.4840	−	14.4300i	−0.402338	−	0.553771i
$680$	−0.959554	−	4.40701i	−0.0367972	−	0.169001i
$681$		−	19.8776i		−	0.761710i
$682$	−7.96622	+	8.64434i	−0.305042	+	0.331009i
$683$	8.34110	−	8.34110i	0.319163	−	0.319163i	−0.529282	−	0.848446i	$-0.677539\pi$
$683$	8.34110	−	8.34110i	0.319163	−	0.319163i	0.848446	+	0.529282i	$0.177539\pi$
$684$	−3.46016	+	4.76251i	−0.132303	+	0.182099i
$685$	−0.406609	−	0.497071i	−0.0155357	−	0.0189921i
$686$	4.39540	+	13.5276i	0.167817	+	0.516488i
$687$	−1.87332	−	1.87332i	−0.0714715	−	0.0714715i
$688$	−8.98777	−	8.98777i	−0.342656	−	0.342656i
$689$	16.3430	−	5.31015i	0.622618	−	0.202301i
$690$	−2.26953	−	0.596099i	−0.0863995	−	0.0226931i
$691$	4.92323	−	15.1522i	0.187289	−	0.576415i	−0.812692	−	0.582694i	$-0.801999\pi$
$691$	4.92323	−	15.1522i	0.187289	−	0.576415i	0.999980	+	0.00627894i	$0.00199866\pi$
$692$	−0.836191	−	5.27950i	−0.0317872	−	0.200697i
$693$	1.06874	−	2.09752i	0.0405981	−	0.0796782i
$694$	8.93702	+	6.49312i	0.339245	+	0.246476i
$695$	−2.80308	+	28.0016i	−0.106327	+	1.06216i
$696$	2.05452	−	6.32317i	0.0778764	−	0.239679i
$697$	−3.13205	+	19.7750i	−0.118635	+	0.749032i
$698$	0.739293	−	4.66771i	0.0279827	−	0.176676i
$699$	−5.19489	+	15.9882i	−0.196489	+	0.604730i
$700$	−5.56998	−	0.236667i	−0.210525	−	0.00894517i
$701$	12.3249	+	8.95459i	0.465507	+	0.338210i	0.795688	−	0.605707i	$-0.207110\pi$
$701$	12.3249	+	8.95459i	0.465507	+	0.338210i	−0.330181	+	0.943918i	$0.607110\pi$
$702$	−2.76847	+	5.43342i	−0.104489	+	0.205071i
$703$	−7.19018	−	45.3970i	−0.271183	−	1.71218i
$704$	0.652428	−	2.00797i	0.0245893	−	0.0756781i
$705$	7.96349	−	4.65041i	0.299922	−	0.175145i
$706$	−5.16961	+	1.67971i	−0.194561	+	0.0632167i
$707$	8.54536	+	8.54536i	0.321381	+	0.321381i
$708$	−1.86961	−	1.86961i	−0.0702642	−	0.0702642i
$709$	7.18391	+	22.1098i	0.269798	+	0.830352i	0.990549	+	0.137158i	$0.0437968\pi$
$709$	7.18391	+	22.1098i	0.269798	+	0.830352i	−0.720752	+	0.693193i	$0.756203\pi$
$710$	12.8669	−	10.5252i	0.482885	−	0.395004i
$711$	−1.74672	+	2.40416i	−0.0655072	+	0.0901630i
$712$	9.71466	−	9.71466i	0.364072	−	0.364072i
$713$	−4.29654	−	3.95949i	−0.160907	−	0.148284i
$714$			2.24901i			0.0841672i
$715$	−15.5600	+	24.2218i	−0.581911	+	0.905846i
$716$	−7.60037	−	10.4610i	−0.284039	−	0.390946i
$717$	9.39158	−	18.4320i	0.350735	−	0.688356i
$718$	−22.7393	+	22.7393i	−0.848622	+	0.848622i
$719$	−31.2300			−1.16468			−0.582341	−	0.812945i	$-0.697863\pi$
$719$	−31.2300			−1.16468			−0.582341	+	0.812945i	$0.697863\pi$
$720$	0.899373	−	2.04722i	0.0335176	−	0.0762956i
$721$	−4.20541	+	12.9429i	−0.156618	+	0.482020i
$722$	−13.9480	+	7.10686i	−0.519090	+	0.264490i
$723$	−8.49450	+	1.34540i	−0.315914	+	0.0500358i
$724$	−3.50000	−	10.7719i	−0.130077	−	0.400334i
$725$	16.3357	−	28.9522i	0.606694	−	1.07526i
$726$	−3.84553	−	5.29292i	−0.142721	−	0.196439i
$727$	38.5373	−	19.6357i	1.42927	−	0.728249i	0.443487	−	0.896281i	$-0.353741\pi$
$727$	38.5373	−	19.6357i	1.42927	−	0.728249i	0.985782	+	0.168032i	$0.0537411\pi$
$728$	−6.71565	−	1.06365i	−0.248898	−	0.0394216i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−28.9758	+	16.9209i	−1.07244	+	0.626270i
$731$	−20.7416	+	15.0696i	−0.767155	+	0.557371i
$732$	0.381242	+	2.40706i	0.0140911	+	0.0889677i
$733$	11.3657	+	5.79111i	0.419802	+	0.213900i	0.651114	−	0.758980i	$-0.274302\pi$
$733$	11.3657	+	5.79111i	0.419802	+	0.213900i	−0.231312	+	0.972880i	$0.574302\pi$
$734$	10.0069	+	7.27040i	0.369360	+	0.268356i
$735$	−12.4502	−	3.27010i	−0.459234	−	0.120619i
$736$	0.998029	+	0.324279i	0.0367878	+	0.0119531i
$737$	5.69948	+	2.90403i	0.209943	+	0.106971i
$738$	−7.01883	+	7.01883i	−0.258367	+	0.258367i
$739$	−15.0254			−0.552719			−0.276360	−	0.961054i	$-0.589128\pi$
$739$	−15.0254			−0.552719			−0.276360	+	0.961054i	$0.589128\pi$
$740$	6.33724	+	16.2680i	0.232962	+	0.598025i
$741$	−29.0421	+	21.1003i	−1.06689	+	0.775140i
$742$	3.10332	−	0.491518i	0.113927	−	0.0180442i
$743$	−5.19859	−	5.19859i	−0.190718	−	0.190718i	0.605288	−	0.796006i	$-0.293058\pi$
$743$	−5.19859	−	5.19859i	−0.190718	−	0.190718i	−0.796006	+	0.605288i	$0.793058\pi$
$744$	4.36717	−	3.45366i	0.160108	−	0.126617i
$745$	35.3738	+	31.5352i	1.29599	+	1.15536i
$746$	26.7706	+	19.4500i	0.980142	+	0.712115i
$747$	2.50592	−	15.8218i	0.0916869	−	0.578888i
$748$	−3.79444	−	1.93337i	−0.138739	−	0.0706908i
$749$			13.4640i			0.491964i
$750$	6.43666	−	9.14163i	0.235034	−	0.333805i
$751$	10.0667	+	30.9821i	0.367338	+	1.13055i	0.948504	+	0.316766i	$0.102597\pi$
$751$	10.0667	+	30.9821i	0.367338	+	1.13055i	−0.581166	+	0.813785i	$0.697403\pi$
$752$	−3.67465	+	1.87233i	−0.134001	+	0.0682768i
$753$	1.29388	+	2.53938i	0.0471516	+	0.0925402i
$754$	23.8309	−	32.8004i	0.867869	−	1.19452i
$755$	3.62896	−	8.26054i	0.132071	−	0.300632i
$756$	−0.655381	+	0.902054i	−0.0238360	+	0.0328074i
$757$	4.52003	−	28.5383i	0.164283	−	1.03724i	−0.758429	−	0.651755i	$-0.774033\pi$
$757$	4.52003	−	28.5383i	0.164283	−	1.03724i	0.922713	−	0.385489i	$-0.125967\pi$
$758$	−5.90797	−	11.5950i	−0.214587	−	0.421151i
$759$	−1.79244	+	1.30228i	−0.0650615	+	0.0472699i
$760$	10.1886	−	8.33441i	0.369581	−	0.302321i
$761$	12.6075	+	4.09641i	0.457020	+	0.148495i	0.528475	−	0.848949i	$-0.322764\pi$
$761$	12.6075	+	4.09641i	0.457020	+	0.148495i	−0.0714546	+	0.997444i	$0.522764\pi$
$762$	−8.96750	−	1.42031i	−0.324858	−	0.0514525i
$763$	−9.29567	+	1.47229i	−0.336526	+	0.0533005i
$764$	−16.2975	+	5.29539i	−0.589624	+	0.191580i
$765$	−3.79473	−	2.43772i	−0.137199	−	0.0881360i
$766$	−10.1902	−	3.31101i	−0.368188	−	0.119632i
$767$	−7.31990	−	14.3661i	−0.264306	−	0.518730i
$768$	−0.453990	+	0.891007i	−0.0163820	+	0.0321514i
$769$			7.49703i			0.270350i	0.990822	+	0.135175i	$0.0431596\pi$
$769$			7.49703i			0.270350i	−0.990822	+	0.135175i	$0.956840\pi$
$770$	−3.50286	+	3.92924i	−0.126234	+	0.141600i
$771$	−12.1528	+	3.94868i	−0.437672	+	0.142208i
$772$	15.6591	+	2.48015i	0.563582	+	0.0892627i
$773$	2.21515	+	13.9859i	0.0796733	+	0.503038i	0.994963	+	0.100242i	$0.0319616\pi$
$773$	2.21515	+	13.9859i	0.0796733	+	0.503038i	−0.915290	+	0.402796i	$0.868038\pi$
$774$	−12.7106			−0.456874
$775$	24.8255	−	12.5973i	0.891760	−	0.452509i
$776$	−15.9968			−0.574251
$777$	−1.36187	−	8.59853i	−0.0488570	−	0.308471i
$778$	8.56330	+	1.35629i	0.307009	+	0.0486255i
$779$	−55.5730	+	18.0568i	−1.99111	+	0.646951i
$780$	9.07382	−	10.1783i	0.324895	−	0.364443i
$781$		−	15.6958i		−	0.561641i
$782$	0.960950	−	1.88597i	0.0343635	−	0.0674422i
$783$	−3.01839	−	5.92392i	−0.107868	−	0.211704i
$784$	5.47502	+	1.77894i	0.195536	+	0.0635336i
$785$	5.77243	+	3.70819i	0.206027	+	0.132351i
$786$	−9.29442	+	3.01994i	−0.331521	+	0.107718i
$787$	7.30209	−	1.15654i	0.260291	−	0.0412261i	−0.0249248	−	0.999689i	$-0.507935\pi$
$787$	7.30209	−	1.15654i	0.260291	−	0.0412261i	0.285216	+	0.958463i	$0.407935\pi$
$788$	9.40719	+	1.48995i	0.335117	+	0.0530773i
$789$	−5.86869	−	1.90685i	−0.208931	−	0.0678858i
$790$	5.14333	−	4.20729i	0.182991	−	0.149689i
$791$	−10.4956	+	7.62549i	−0.373180	+	0.271131i
$792$	−0.958510	−	1.88118i	−0.0340592	−	0.0668449i
$793$	−2.32484	+	14.6785i	−0.0825575	+	0.521247i
$794$	−8.99752	+	12.3840i	−0.319310	+	0.439493i
$795$	−2.53438	+	5.76896i	−0.0898852	+	0.204604i
$796$	−4.71208	+	6.48562i	−0.167015	+	0.229877i
$797$	14.5406	+	28.5376i	0.515056	+	1.01085i	0.991310	+	0.131546i	$0.0419941\pi$
$797$	14.5406	+	28.5376i	0.515056	+	1.01085i	−0.476254	+	0.879307i	$0.658006\pi$
$798$	−5.84836	+	2.97989i	−0.207030	+	0.105487i
$799$	2.57060	+	7.91150i	0.0909413	+	0.279889i
$800$	−3.10800	+	3.91668i	−0.109884	+	0.138475i
$801$		−	13.7386i		−	0.485430i
$802$	4.45485	+	2.26986i	0.157306	+	0.0801516i
$803$	−4.95621	+	31.2923i	−0.174901	+	1.10428i
$804$	−2.45111	−	1.78083i	−0.0864439	−	0.0628052i
$805$	−1.95297	−	1.74104i	−0.0688332	−	0.0613637i
$806$	31.8360	−	11.8004i	1.12138	−	0.415651i
$807$	18.4185	+	18.4185i	0.648363	+	0.648363i
$808$	10.7051	−	1.69552i	0.376604	−	0.0596482i
$809$	0.393929	−	0.286206i	0.0138498	−	0.0100625i	−0.580839	−	0.814019i	$-0.697275\pi$
$809$	0.393929	−	0.286206i	0.0138498	−	0.0100625i	0.594689	+	0.803956i	$0.297275\pi$
$810$	−0.811654	−	2.08356i	−0.0285186	−	0.0732088i
$811$	53.4686			1.87754			0.938768	−	0.344551i	$-0.111969\pi$
$811$	53.4686			1.87754			0.938768	+	0.344551i	$0.111969\pi$
$812$	5.24190	−	5.24190i	0.183954	−	0.183954i
$813$	10.4738	+	5.33665i	0.367331	+	0.187164i
$814$	15.6778	+	5.09403i	0.549507	+	0.178546i
$815$	−3.39814	−	0.892532i	−0.119032	−	0.0312640i
$816$	1.63183	+	1.18559i	0.0571254	+	0.0415041i
$817$	−66.6693	−	33.9697i	−2.33246	−	1.18845i
$818$	−1.94494	−	12.2799i	−0.0680033	−	0.429356i
$819$	−5.50080	+	3.99656i	−0.192213	+	0.139651i
$820$	19.1667	−	11.1927i	0.669330	−	0.390866i
$821$	10.2397	+	14.0937i	0.357367	+	0.491873i	0.949413	−	0.314031i	$-0.101680\pi$
$821$	10.2397	+	14.0937i	0.357367	+	0.491873i	−0.592046	+	0.805904i	$0.701680\pi$
$822$	0.283661	+	0.0449275i	0.00989381	+	0.00156703i
$823$	−6.22706	+	3.17285i	−0.217062	+	0.110598i	−0.559141	−	0.829073i	$-0.688869\pi$
$823$	−6.22706	+	3.17285i	−0.217062	+	0.110598i	0.342079	+	0.939671i	$0.388869\pi$
$824$	7.17414	+	9.87436i	0.249923	+	0.343990i
$825$	−2.83299	−	10.1693i	−0.0986321	−	0.354048i
$826$	−0.911010	−	2.80380i	−0.0316981	−	0.0975567i
$827$	10.9747	−	1.73823i	0.381629	−	0.0604440i	0.0373269	−	0.999303i	$-0.488116\pi$
$827$	10.9747	−	1.73823i	0.381629	−	0.0604440i	0.344302	+	0.938859i	$0.388116\pi$
$828$	0.935013	−	0.476413i	0.0324940	−	0.0165565i
$829$	7.54838	−	23.2315i	0.262166	−	0.806864i	−0.730167	−	0.683269i	$-0.760558\pi$
$829$	7.54838	−	23.2315i	0.262166	−	0.806864i	0.992333	−	0.123595i	$-0.0394423\pi$
$830$	−14.4070	+	32.7945i	−0.500076	+	1.13831i
$831$	−24.9274			−0.864723
$832$	−4.31199	+	4.31199i	−0.149491	+	0.149491i
$833$	5.27161	−	10.3461i	0.182650	−	0.358471i
$834$	−7.39744	−	10.1817i	−0.256152	−	0.352564i
$835$	−5.72047	+	8.90490i	−0.197965	+	0.308167i
$836$		−	12.4288i		−	0.429858i
$837$	0.645948	−	5.53017i	0.0223272	−	0.191151i
$838$	0.392417	−	0.392417i	0.0135558	−	0.0135558i
$839$	−16.6324	+	22.8925i	−0.574215	+	0.790338i	−0.993046	−	0.117725i	$-0.962440\pi$
$839$	−16.6324	+	22.8925i	−0.574215	+	0.790338i	0.418832	+	0.908064i	$0.362440\pi$
$840$	1.92981	−	1.57860i	0.0665847	−	0.0544669i
$841$	4.69813	+	14.4594i	0.162005	+	0.498599i
$842$	26.5999	+	26.5999i	0.916693	+	0.916693i
$843$	0.503400	+	0.503400i	0.0173380	+	0.0173380i
$844$	−19.5826	+	6.36276i	−0.674060	+	0.219015i
$845$	46.7026	−	27.2728i	1.60662	−	0.938211i
$846$	−1.27444	+	3.92231i	−0.0438160	+	0.134852i
$847$	−1.14116	−	7.20498i	−0.0392106	−	0.247566i
$848$	1.27932	−	2.51080i	0.0439320	−	0.0862214i
$849$	9.98786	+	7.25661i	0.342783	+	0.249046i
$850$	6.82219	+	7.42766i	0.233999	+	0.254767i
$851$	−2.53191	+	7.79242i	−0.0867928	+	0.267121i
$852$	−1.16296	+	7.34267i	−0.0398425	+	0.251556i
$853$	−6.92554	+	43.7261i	−0.237126	+	1.49715i	0.525767	+	0.850629i	$0.323778\pi$
$853$	−6.92554	+	43.7261i	−0.237126	+	1.49715i	−0.762893	+	0.646525i	$0.776222\pi$
$854$	−0.839702	+	2.58434i	−0.0287340	+	0.0884342i
$855$	1.31114	−	13.0978i	0.0448402	−	0.447935i
$856$	9.76915	+	7.09770i	0.333903	+	0.242594i
$857$	4.61671	−	9.06080i	0.157704	−	0.309511i	−0.798612	−	0.601846i	$-0.794432\pi$
$857$	4.61671	−	9.06080i	0.157704	−	0.309511i	0.956316	+	0.292335i	$0.0944321\pi$
$858$	−2.01407	−	12.7164i	−0.0687593	−	0.434129i
$859$	5.54132	−	17.0544i	0.189068	−	0.581890i	−0.810927	−	0.585147i	$-0.801037\pi$
$859$	5.54132	−	17.0544i	0.189068	−	0.581890i	0.999995	+	0.00325702i	$0.00103674\pi$
$860$	27.4894	+	7.22019i	0.937382	+	0.246206i
$861$	−10.5259	+	3.42009i	−0.358723	+	0.116556i
$862$	15.1595	+	15.1595i	0.516335	+	0.516335i
$863$	−7.15641	−	7.15641i	−0.243607	−	0.243607i	0.574733	−	0.818341i	$-0.305106\pi$
$863$	−7.15641	−	7.15641i	−0.243607	−	0.243607i	−0.818341	+	0.574733i	$0.805106\pi$
$864$	0.309017	+	0.951057i	0.0105130	+	0.0323556i
$865$	7.56781	+	9.25149i	0.257313	+	0.314560i
$866$	−6.36539	+	8.76120i	−0.216305	+	0.297718i
$867$	−9.14395	+	9.14395i	−0.310545	+	0.310545i
$868$	6.08691	−	1.22046i	0.206603	−	0.0414251i
$869$		−	6.27416i		−	0.212836i
$870$	3.16286	+	14.5263i	0.107231	+	0.492488i
$871$	−10.8597	−	14.9470i	−0.367965	−	0.506461i
$872$	−3.83206	+	7.52085i	−0.129770	+	0.254688i
$873$	−11.3114	+	11.3114i	−0.382834	+	0.382834i
$874$	6.17753			0.208958
$875$	11.0221	−	5.82373i	0.372616	−	0.196878i
$876$	4.63713	−	14.2716i	0.156674	−	0.482194i
$877$	−40.8097	+	20.7936i	−1.37805	+	0.702150i	−0.976867	−	0.213850i	$-0.931400\pi$
$877$	−40.8097	+	20.7936i	−1.37805	+	0.702150i	−0.401180	+	0.915999i	$0.631400\pi$
$878$	4.80017	−	0.760272i	0.161998	−	0.0256579i
$879$	−7.40875	−	22.8018i	−0.249891	−	0.769085i
$880$	1.00439	+	4.61293i	0.0338580	+	0.155502i
$881$	−18.8461	−	25.9395i	−0.634943	−	0.873924i	0.363390	−	0.931637i	$-0.381619\pi$
$881$	−18.8461	−	25.9395i	−0.634943	−	0.873924i	−0.998333	+	0.0577132i	$0.981619\pi$
$882$	5.12932	−	2.61352i	0.172713	−	0.0880018i
$883$	−42.5136	−	6.73349i	−1.43070	−	0.226600i	−0.607483	−	0.794333i	$-0.707821\pi$
$883$	−42.5136	−	6.73349i	−1.43070	−	0.226600i	−0.823213	+	0.567733i	$0.807821\pi$
$884$	7.22984	+	9.95102i	0.243166	+	0.334689i
$885$	5.71827	+	1.50192i	0.192218	+	0.0504865i
$886$	21.0616	−	15.3021i	0.707578	−	0.514085i
$887$	0.904791	+	5.71263i	0.0303799	+	0.191811i	0.998211	−	0.0597896i	$-0.0190430\pi$
$887$	0.904791	+	5.71263i	0.0303799	+	0.191811i	−0.967831	+	0.251601i	$0.919043\pi$
$888$	−6.95681	−	3.54467i	−0.233455	−	0.118951i
$889$	−8.19001	−	5.95039i	−0.274684	−	0.199570i
$890$	−7.80412	+	29.7126i	−0.261595	+	0.995970i
$891$	−2.00797	−	0.652428i	−0.0672694	−	0.0218572i
$892$	−21.6244	−	11.0182i	−0.724040	−	0.368917i
$893$	−17.1672	+	17.1672i	−0.574477	+	0.574477i
$894$	−21.1933			−0.708809
$895$	26.4717	+	11.6294i	0.884851	+	0.388726i
$896$	−0.902054	+	0.655381i	−0.0301355	+	0.0218947i
$897$	6.32047	−	1.00106i	0.211034	−	0.0334246i
$898$	25.6187	+	25.6187i	0.854906	+	0.854906i
$899$	−9.99349	+	35.6432i	−0.333302	+	1.18877i
$900$	0.571823	+	4.96719i	0.0190608	+	0.165573i
$901$	−4.59840	−	3.34093i	−0.153195	−	0.111303i
$902$	3.27840	−	20.6990i	0.109159	−	0.689202i
$903$	−12.6277	−	6.43412i	−0.420222	−	0.214114i
$904$			11.6352i			0.386981i
$905$	18.9047	+	16.8532i	0.628413	+	0.560221i
$906$	1.24688	+	3.83751i	0.0414248	+	0.127493i
$907$	18.0620	−	9.20305i	0.599739	−	0.305582i	−0.127638	−	0.991821i	$-0.540739\pi$
$907$	18.0620	−	9.20305i	0.599739	−	0.305582i	0.727376	+	0.686239i	$0.240739\pi$
$908$	−9.02423	−	17.7110i	−0.299480	−	0.587762i
$909$	6.37073	−	8.76855i	0.211304	−	0.290835i
$910$	14.1669	−	5.51873i	0.469627	−	0.182944i
$911$	−28.7983	+	39.6375i	−0.954130	+	1.31325i	−0.00446232	+	0.999990i	$0.501420\pi$
$911$	−28.7983	+	39.6375i	−0.954130	+	1.31325i	−0.949668	+	0.313258i	$0.898580\pi$
$912$	−0.920895	+	5.81431i	−0.0304939	+	0.192531i
$913$	15.3544	+	30.1346i	0.508155	+	0.997311i
$914$	−22.9503	+	16.6744i	−0.759129	+	0.551539i
$915$	−3.45036	−	4.21800i	−0.114065	−	0.139443i
$916$	−2.51961	−	0.818670i	−0.0832501	−	0.0270496i
$917$	−10.7624	−	1.70460i	−0.355407	−	0.0562910i
$918$	1.99222	−	0.315536i	0.0657530	−	0.0104143i
$919$	−7.12272	+	2.31431i	−0.234957	+	0.0763422i	−0.424129	−	0.905602i	$-0.639420\pi$
$919$	−7.12272	+	2.31431i	−0.234957	+	0.0763422i	0.189172	+	0.981944i	$0.439420\pi$
$920$	−2.29279	+	0.499217i	−0.0755910	+	0.0164587i
$921$	14.4344	+	4.69001i	0.475629	+	0.154541i
$922$	−6.92487	−	13.5908i	−0.228058	−	0.447590i
$923$	−20.5813	+	40.3931i	−0.677443	+	1.32956i
$924$		−	2.35410i		−	0.0774443i
$925$	−30.5807	−	24.2667i	−1.00549	−	0.797883i
$926$	−34.4143	+	11.1819i	−1.13092	+	0.367459i
$927$	12.0551	+	1.90934i	0.395942	+	0.0627110i
$928$	−1.04007	−	6.56671i	−0.0341418	−	0.215563i
$929$	52.3474			1.71746			0.858731	−	0.512427i	$-0.171254\pi$
$929$	52.3474			1.71746			0.858731	+	0.512427i	$0.171254\pi$
$930$	−4.53837	+	11.5932i	−0.148819	+	0.380157i
$931$	33.8889			1.11066
$932$	2.62982	+	16.6040i	0.0861426	+	0.543883i
$933$	30.8345	+	4.88371i	1.00948	+	0.159885i
$934$	−22.1394	+	7.19353i	−0.724424	+	0.235380i
$935$	9.50689	−	0.545415i	0.310909	−	0.0178370i
$936$			6.09807i			0.199322i
$937$	−4.25176	+	8.34455i	−0.138899	+	0.272605i	−0.949969	−	0.312345i	$-0.898886\pi$
$937$	−4.25176	+	8.34455i	−0.138899	+	0.272605i	0.811070	+	0.584949i	$0.198886\pi$
$938$	−1.53365	−	3.00996i	−0.0500755	−	0.0982787i
$939$	20.9587	+	6.80990i	0.683962	+	0.222233i
$940$	4.98428	−	7.75889i	0.162569	−	0.253067i
$941$	19.9282	−	6.47507i	0.649641	−	0.211081i	0.0343853	−	0.999409i	$-0.489053\pi$
$941$	19.9282	−	6.47507i	0.649641	−	0.211081i	0.615256	+	0.788327i	$0.289053\pi$
$942$	−3.03050	+	0.479984i	−0.0987391	+	0.0156387i
$943$	10.2881	+	1.62948i	0.335028	+	0.0530632i
$944$	−2.51462	−	0.817049i	−0.0818439	−	0.0265927i
$945$	0.248341	−	2.48082i	0.00807852	−	0.0807010i
$946$	21.7107	−	15.7738i	0.705877	−	0.512850i
$947$	7.21514	+	14.1605i	0.234461	+	0.460155i	0.978019	−	0.208516i	$-0.0668634\pi$
$947$	7.21514	+	14.1605i	0.234461	+	0.460155i	−0.743558	+	0.668671i	$0.766863\pi$
$948$	−0.464877	+	2.93512i	−0.0150985	+	0.0953282i
$949$	53.7872	−	74.0317i	1.74601	−	2.40317i
$950$	−10.2757	+	27.5820i	−0.333389	+	0.894877i
$951$	5.42393	−	7.46540i	0.175883	−	0.242082i
$952$	1.02103	+	2.00389i	0.0330918	+	0.0649463i
$953$	12.7227	−	6.48256i	0.412130	−	0.209991i	−0.235617	−	0.971846i	$-0.575711\pi$
$953$	12.7227	−	6.48256i	0.412130	−	0.209991i	0.647747	+	0.761855i	$0.275711\pi$
$954$	−0.870792	−	2.68002i	−0.0281929	−	0.0867689i
$955$	25.4984	−	28.6022i	0.825108	−	0.925544i
$956$		−	20.6867i		−	0.669057i
$957$	12.5072	+	6.37272i	0.404300	+	0.206001i
$958$	1.96104	−	12.3815i	0.0633584	−	0.400029i
$959$	0.259067	+	0.188223i	0.00836571	+	0.00607805i
$960$	−0.128074	−	2.23240i	−0.00413356	−	0.0720503i
$961$	−23.5108	+	20.2050i	−0.758412	+	0.651775i
$962$	−33.6672	−	33.6672i	−1.08547	−	1.08547i
$963$	11.9267	−	1.88900i	0.384331	−	0.0608721i
$964$	−6.95786	+	5.05518i	−0.224097	+	0.162816i
$965$	−33.0333	+	12.8682i	−1.06338	+	0.414241i
$966$	1.17007			0.0376464
$967$	−18.2242	+	18.2242i	−0.586052	+	0.586052i	−0.936560	−	0.350508i	$-0.886009\pi$
$967$	−18.2242	+	18.2242i	−0.586052	+	0.586052i	0.350508	+	0.936560i	$0.386009\pi$
$968$	−5.82933	−	2.97019i	−0.187362	−	0.0954656i
$969$	11.2928	+	3.66925i	0.362777	+	0.117873i
$970$	30.8888	−	18.0380i	0.991778	−	0.579165i
$971$	2.00022	+	1.45325i	0.0641903	+	0.0466370i	0.619418	−	0.785062i	$-0.287369\pi$
$971$	2.00022	+	1.45325i	0.0641903	+	0.0466370i	−0.555227	+	0.831699i	$0.687369\pi$
$972$	0.891007	+	0.453990i	0.0285790	+	0.0145618i
$973$	−2.19518	−	13.8598i	−0.0703743	−	0.444326i
$974$	29.9145	−	21.7341i	0.958522	−	0.696407i
$975$	−6.04387	+	29.8854i	−0.193559	+	0.957097i
$976$	1.43247	+	1.97163i	0.0458523	+	0.0631103i
$977$	−24.8536	−	3.93642i	−0.795136	−	0.125937i	−0.254366	−	0.967108i	$-0.581867\pi$
$977$	−24.8536	−	3.93642i	−0.795136	−	0.125937i	−0.540769	+	0.841171i	$0.681867\pi$
$978$	1.39998	−	0.713328i	0.0447666	−	0.0228097i
$979$	17.0495	+	23.4666i	0.544904	+	0.749996i
$980$	−12.5778	+	2.73862i	−0.401785	+	0.0874819i
$981$	2.60836	+	8.02772i	0.0832786	+	0.256305i
$982$	−16.0817	+	2.54710i	−0.513189	+	0.0812812i
$983$	44.9977	−	22.9275i	1.43520	−	0.731272i	0.448496	−	0.893785i	$-0.351960\pi$
$983$	44.9977	−	22.9275i	1.43520	−	0.731272i	0.986707	+	0.162512i	$0.0519597\pi$
$984$	−3.06734	+	9.44030i	−0.0977832	+	0.300946i
$985$	−19.8448	+	7.73056i	−0.632306	+	0.246316i
$986$	−13.4105			−0.427078
$987$	−3.25159	+	3.25159i	−0.103499	+	0.103499i
$988$	−16.2974	+	31.9854i	−0.518488	+	1.01759i
$989$	7.84012	+	10.7910i	0.249301	+	0.343134i
$990$	3.97205	+	2.55163i	0.126240	+	0.0810960i
$991$		−	1.52224i		−	0.0483556i	−0.999708	−	0.0241778i	$-0.992303\pi$
$991$		−	1.52224i		−	0.0483556i	0.999708	−	0.0241778i	$-0.00769678\pi$
$992$	2.32325	−	5.05989i	0.0737632	−	0.160652i
$993$	11.4304	−	11.4304i	0.362733	−	0.362733i
$994$	−4.87223	+	6.70605i	−0.154538	+	0.212703i
$995$	1.78553	−	17.8367i	0.0566051	−	0.565461i
$996$	−4.95014	−	15.2350i	−0.156851	−	0.482738i
$997$	4.63431	+	4.63431i	0.146770	+	0.146770i	0.776674	−	0.629903i	$-0.216906\pi$
$997$	4.63431	+	4.63431i	0.146770	+	0.146770i	−0.629903	+	0.776674i	$0.716906\pi$
$998$	−3.80961	−	3.80961i	−0.120591	−	0.120591i
$999$	−7.42567	+	2.41275i	−0.234938	+	0.0763359i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.277.6	yes	128
5.3	odd	4		930.2.bj.a.463.6	✓	128
31.15	odd	10		930.2.bj.a.697.6	yes	128
155.108	even	20	inner	930.2.bj.b.883.6	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.463.6	✓	128	5.3	odd	4
930.2.bj.a.697.6	yes	128	31.15	odd	10
930.2.bj.b.277.6	yes	128	1.1	even	1	trivial
930.2.bj.b.883.6	yes	128	155.108	even	20	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.48798 - 1.66911i) q^{5} +1.00000i q^{6} +(-0.506200 + 0.993473i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(1.48798 - 1.66911i) q^{5} +1.00000i q^{6} +(-0.506200 + 0.993473i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-1.88133 - 1.20856i) q^{10} +(-2.00797 + 0.652428i) q^{11} +(0.987688 - 0.156434i) q^{12} +(6.02300 + 0.953949i) q^{13} +(1.06043 + 0.344554i) q^{14} +(-1.73077 + 1.41578i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-0.915722 - 1.79721i) q^{17} +(0.156434 - 0.987688i) q^{18} +(3.46016 - 4.76251i) q^{19} +(-0.899373 + 2.04722i) q^{20} +(0.655381 - 0.902054i) q^{21} +(0.958510 + 1.88118i) q^{22} +(-0.935013 + 0.476413i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(-0.571823 - 4.96719i) q^{25} -6.09807i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.174425 - 1.10127i) q^{28} +(5.37881 + 3.90793i) q^{29} +(1.66911 + 1.48798i) q^{30} +(1.93510 + 5.22067i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(2.08531 - 0.330280i) q^{33} +(-1.63183 + 1.18559i) q^{34} +(0.904995 + 2.32317i) q^{35} -1.00000 q^{36} +(5.52096 - 5.52096i) q^{37} +(-5.24516 - 2.67254i) q^{38} +(-5.79961 - 1.88441i) q^{39} +(2.16271 + 0.568043i) q^{40} +(-8.03040 - 5.83443i) q^{41} +(-0.993473 - 0.506200i) q^{42} +(-1.98838 - 12.5541i) q^{43} +(1.70808 - 1.24099i) q^{44} +(1.93094 - 1.12760i) q^{45} +(0.616816 + 0.848974i) q^{46} +(-4.07338 - 0.645161i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(3.38375 + 4.65733i) q^{49} +(-4.81659 + 1.34182i) q^{50} +(0.623303 + 1.91833i) q^{51} +(-6.02300 + 0.953949i) q^{52} +(2.51080 - 1.27932i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(-1.89885 + 4.32231i) q^{55} -1.11500 q^{56} +(-4.16258 + 4.16258i) q^{57} +(3.01839 - 5.92392i) q^{58} +(-1.55412 - 2.13906i) q^{59} +(1.20856 - 1.88133i) q^{60} +2.43707i q^{61} +(4.85368 - 2.72797i) q^{62} +(-0.788424 + 0.788424i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(10.5543 - 8.63356i) q^{65} +(-0.652428 - 2.00797i) q^{66} +(-2.14235 - 2.14235i) q^{67} +(1.42627 + 1.42627i) q^{68} +(0.998029 - 0.324279i) q^{69} +(2.15299 - 1.25728i) q^{70} +(-2.29729 + 7.07034i) q^{71} +(0.156434 + 0.987688i) q^{72} +(6.81262 - 13.3705i) q^{73} +(-6.31665 - 4.58932i) q^{74} +(-0.212257 + 4.99549i) q^{75} +(-1.81912 + 5.59866i) q^{76} +(0.368263 - 2.32512i) q^{77} +(-0.953949 + 6.02300i) q^{78} +(-0.918307 + 2.82626i) q^{79} +(0.222727 - 2.22495i) q^{80} +(0.809017 + 0.587785i) q^{81} +(-4.50636 + 8.84424i) q^{82} +(-2.50592 - 15.8218i) q^{83} +(-0.344554 + 1.06043i) q^{84} +(-4.36230 - 1.14577i) q^{85} +(-12.0885 + 3.92780i) q^{86} +(-4.70125 - 4.70125i) q^{87} +(-1.49292 - 1.49292i) q^{88} +(-4.24546 - 13.0662i) q^{89} +(-1.41578 - 1.73077i) q^{90} +(-3.99656 + 5.50080i) q^{91} +(0.742031 - 0.742031i) q^{92} +(-1.09458 - 5.45911i) q^{93} +4.12416i q^{94} +(-2.80046 - 12.8619i) q^{95} +(0.587785 + 0.809017i) q^{96} +(-7.26239 + 14.2532i) q^{97} +(4.07065 - 4.07065i) q^{98} -2.11130 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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