LMFDB - Embedded newform 572.2.bf.a.67.15

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [572,2,Mod(67,572)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(572, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 0, 1]))

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

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

chi := DirichletCharacter("572.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 572 = 2^{2} \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	572.bf (of order $12$, 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:	$4.56744299562$
Analytic rank:	$0$
Dimension:	$280$
Relative dimension:	$70$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			67.15
Character	$\chi$	$=$	572.67
Dual form			572.2.bf.a.111.15

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.08655 - 0.905208i) q^{2} +(-2.08344 + 1.20287i) q^{3} +(0.361197 + 1.96711i) q^{4} +(1.79541 - 1.79541i) q^{5} +(3.35261 + 0.578958i) q^{6} +(0.472870 + 1.76477i) q^{7} +(1.38819 - 2.46433i) q^{8} +(1.39380 - 2.41414i) q^{9} +O(q^{10})$	\(q+(-1.08655 - 0.905208i) q^{2} +(-2.08344 + 1.20287i) q^{3} +(0.361197 + 1.96711i) q^{4} +(1.79541 - 1.79541i) q^{5} +(3.35261 + 0.578958i) q^{6} +(0.472870 + 1.76477i) q^{7} +(1.38819 - 2.46433i) q^{8} +(1.39380 - 2.41414i) q^{9} +(-3.57602 + 0.325589i) q^{10} +(0.965926 + 0.258819i) q^{11} +(-3.11872 - 3.66388i) q^{12} +(-1.85021 - 3.09463i) q^{13} +(1.08369 - 2.34557i) q^{14} +(-1.58097 + 5.90026i) q^{15} +(-3.73907 + 1.42103i) q^{16} +(1.58052 + 0.912511i) q^{17} +(-3.69974 + 1.36141i) q^{18} +(0.536673 - 0.143801i) q^{19} +(4.18027 + 2.88327i) q^{20} +(-3.10799 - 3.10799i) q^{21} +(-0.815245 - 1.15558i) q^{22} +(-0.203873 - 0.353119i) q^{23} +(0.0720796 + 6.80409i) q^{24} -1.44698i q^{25} +(-0.790926 + 5.03730i) q^{26} -0.510960i q^{27} +(-3.30071 + 1.56762i) q^{28} +(1.29025 + 2.23477i) q^{29} +(7.05877 - 4.97984i) q^{30} +(3.07171 + 3.07171i) q^{31} +(5.34903 + 1.84061i) q^{32} +(-2.32377 + 0.622653i) q^{33} +(-0.891302 - 2.42219i) q^{34} +(4.01748 + 2.31949i) q^{35} +(5.25233 + 1.86979i) q^{36} +(-0.770995 + 2.87739i) q^{37} +(-0.713294 - 0.329553i) q^{38} +(7.57724 + 4.22189i) q^{39} +(-1.93212 - 6.91684i) q^{40} +(9.09585 + 2.43722i) q^{41} +(0.563621 + 6.19038i) q^{42} +(4.68188 - 8.10926i) q^{43} +(-0.160237 + 1.99357i) q^{44} +(-1.83192 - 6.83681i) q^{45} +(-0.0981267 + 0.568230i) q^{46} +(4.64633 - 4.64633i) q^{47} +(6.08080 - 7.45826i) q^{48} +(3.17136 - 1.83098i) q^{49} +(-1.30981 + 1.57222i) q^{50} -4.39054 q^{51} +(5.41919 - 4.75735i) q^{52} +13.9196 q^{53} +(-0.462525 + 0.555185i) q^{54} +(2.19892 - 1.26954i) q^{55} +(5.00542 + 1.28453i) q^{56} +(-0.945149 + 0.945149i) q^{57} +(0.621012 - 3.59614i) q^{58} +(2.75012 + 10.2636i) q^{59} +(-12.1775 - 0.978791i) q^{60} +(0.140185 - 0.242808i) q^{61} +(-0.557040 - 6.11810i) q^{62} +(4.91950 + 1.31818i) q^{63} +(-4.14587 - 6.84191i) q^{64} +(-8.87800 - 2.23423i) q^{65} +(3.08853 + 1.42695i) q^{66} +(-1.69398 + 6.32203i) q^{67} +(-1.22413 + 3.43865i) q^{68} +(0.849513 + 0.490467i) q^{69} +(-2.26559 - 6.15691i) q^{70} +(-7.39953 + 1.98270i) q^{71} +(-4.01438 - 6.78607i) q^{72} +(-1.19135 - 1.19135i) q^{73} +(3.44237 - 2.42853i) q^{74} +(1.74053 + 3.01468i) q^{75} +(0.476718 + 1.00376i) q^{76} +1.82703i q^{77} +(-4.41139 - 11.4463i) q^{78} +9.57345i q^{79} +(-4.16183 + 9.26449i) q^{80} +(4.79603 + 8.30697i) q^{81} +(-7.67693 - 10.8818i) q^{82} +(-2.91060 - 2.91060i) q^{83} +(4.99118 - 7.23637i) q^{84} +(4.47600 - 1.19934i) q^{85} +(-12.4277 + 4.57307i) q^{86} +(-5.37629 - 3.10400i) q^{87} +(1.97870 - 2.02107i) q^{88} +(-3.40706 + 12.7153i) q^{89} +(-4.19826 + 9.08683i) q^{90} +(4.58641 - 4.72856i) q^{91} +(0.620986 - 0.528587i) q^{92} +(-10.0946 - 2.70483i) q^{93} +(-9.25438 + 0.842591i) q^{94} +(0.705365 - 1.22173i) q^{95} +(-13.3584 + 2.59941i) q^{96} +(-2.39007 - 8.91985i) q^{97} +(-5.10327 - 0.881275i) q^{98} +(1.97114 - 1.97114i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 280 q - 4 q^{5} + 12 q^{6} - 12 q^{8} + 140 q^{9}+O(q^{10}) $ 280 * q - 4 * q^5 + 12 * q^6 - 12 * q^8 + 140 * q^9	$ 280 q - 4 q^{5} + 12 q^{6} - 12 q^{8} + 140 q^{9} - 16 q^{14} - 24 q^{18} - 16 q^{20} + 16 q^{21} - 28 q^{26} - 40 q^{28} - 20 q^{32} - 16 q^{34} - 36 q^{36} - 36 q^{37} + 80 q^{40} - 40 q^{41} + 20 q^{42} + 8 q^{44} - 40 q^{45} + 60 q^{46} - 20 q^{48} - 144 q^{49} + 20 q^{50} + 108 q^{52} + 8 q^{53} + 20 q^{54} + 108 q^{56} - 64 q^{57} + 60 q^{58} + 108 q^{60} - 20 q^{61} - 36 q^{62} - 40 q^{65} - 40 q^{66} - 76 q^{68} - 44 q^{70} - 20 q^{72} - 100 q^{73} - 32 q^{74} + 32 q^{76} - 140 q^{78} - 156 q^{80} - 140 q^{81} - 260 q^{84} - 12 q^{85} + 56 q^{86} - 72 q^{88} + 60 q^{89} + 80 q^{92} + 80 q^{93} + 32 q^{94} + 80 q^{96} + 44 q^{97} + 16 q^{98}+O(q^{100}) $ 280 * q - 4 * q^5 + 12 * q^6 - 12 * q^8 + 140 * q^9 - 16 * q^14 - 24 * q^18 - 16 * q^20 + 16 * q^21 - 28 * q^26 - 40 * q^28 - 20 * q^32 - 16 * q^34 - 36 * q^36 - 36 * q^37 + 80 * q^40 - 40 * q^41 + 20 * q^42 + 8 * q^44 - 40 * q^45 + 60 * q^46 - 20 * q^48 - 144 * q^49 + 20 * q^50 + 108 * q^52 + 8 * q^53 + 20 * q^54 + 108 * q^56 - 64 * q^57 + 60 * q^58 + 108 * q^60 - 20 * q^61 - 36 * q^62 - 40 * q^65 - 40 * q^66 - 76 * q^68 - 44 * q^70 - 20 * q^72 - 100 * q^73 - 32 * q^74 + 32 * q^76 - 140 * q^78 - 156 * q^80 - 140 * q^81 - 260 * q^84 - 12 * q^85 + 56 * q^86 - 72 * q^88 + 60 * q^89 + 80 * q^92 + 80 * q^93 + 32 * q^94 + 80 * q^96 + 44 * q^97 + 16 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/572\mathbb{Z}\right)^\times$.

$n$	$287$	$353$	$365$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$1$

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 $

$2$	−1.08655	−	0.905208i	−0.768309	−	0.640079i
$2$	−1.08655	−	0.905208i	−0.768309	−	0.640079i
$3$	−2.08344	+	1.20287i	−1.20287	+	0.694479i	−0.961193	−	0.275877i	$-0.911032\pi$
$3$	−2.08344	+	1.20287i	−1.20287	+	0.694479i	−0.241680	+	0.970356i	$0.577698\pi$
$4$	0.361197	+	1.96711i	0.180599	+	0.983557i
$5$	1.79541	−	1.79541i	0.802931	−	0.802931i	−0.180622	−	0.983553i	$-0.557811\pi$
$5$	1.79541	−	1.79541i	0.802931	−	0.802931i	0.983553	+	0.180622i	$0.0578110\pi$
$6$	3.35261	+	0.578958i	1.36870	+	0.236358i
$7$	0.472870	+	1.76477i	0.178728	+	0.667022i	0.995887	+	0.0906090i	$0.0288813\pi$
$7$	0.472870	+	1.76477i	0.178728	+	0.667022i	−0.817159	+	0.576413i	$0.804452\pi$
$8$	1.38819	−	2.46433i	0.490798	−	0.871273i
$9$	1.39380	−	2.41414i	0.464601	−	0.804713i
$10$	−3.57602	+	0.325589i	−1.13084	+	0.102960i
$11$	0.965926	+	0.258819i	0.291238	+	0.0780369i
$11$	0.965926	+	0.258819i	0.291238	+	0.0780369i
$12$	−3.11872	−	3.66388i	−0.900296	−	1.05767i
$13$	−1.85021	−	3.09463i	−0.513157	−	0.858295i
$13$	−1.85021	−	3.09463i	−0.513157	−	0.858295i
$14$	1.08369	−	2.34557i	0.289628	−	0.626879i
$15$	−1.58097	+	5.90026i	−0.408205	+	1.52344i
$16$	−3.73907	+	1.42103i	−0.934768	+	0.355258i
$17$	1.58052	+	0.912511i	0.383331	+	0.221316i	0.679267	−	0.733892i	$-0.262298\pi$
$17$	1.58052	+	0.912511i	0.383331	+	0.221316i	−0.295935	+	0.955208i	$0.595631\pi$
$18$	−3.69974	+	1.36141i	−0.872037	+	0.320887i
$19$	0.536673	−	0.143801i	0.123121	−	0.0329902i	−0.196732	−	0.980457i	$-0.563033\pi$
$19$	0.536673	−	0.143801i	0.123121	−	0.0329902i	0.319853	+	0.947467i	$0.396366\pi$
$20$	4.18027	+	2.88327i	0.934736	+	0.644720i
$21$	−3.10799	−	3.10799i	−0.678219	−	0.678219i
$22$	−0.815245	−	1.15558i	−0.173811	−	0.246371i
$23$	−0.203873	−	0.353119i	−0.0425105	−	0.0736303i	0.843987	−	0.536363i	$-0.180202\pi$
$23$	−0.203873	−	0.353119i	−0.0425105	−	0.0736303i	−0.886498	+	0.462733i	$0.846869\pi$
$24$	0.0720796	+	6.80409i	0.0147132	+	1.38888i
$25$		−	1.44698i		−	0.289395i
$26$	−0.790926	+	5.03730i	−0.155113	+	0.987897i
$27$		−	0.510960i		−	0.0983343i
$28$	−3.30071	+	1.56762i	−0.623776	+	0.296252i
$29$	1.29025	+	2.23477i	0.239593	+	0.414987i	0.960597	−	0.277943i	$-0.0896528\pi$
$29$	1.29025	+	2.23477i	0.239593	+	0.414987i	−0.721005	+	0.692930i	$0.756319\pi$
$30$	7.05877	−	4.97984i	1.28875	−	0.909191i
$31$	3.07171	+	3.07171i	0.551695	+	0.551695i	0.926930	−	0.375235i	$-0.122438\pi$
$31$	3.07171	+	3.07171i	0.551695	+	0.551695i	−0.375235	+	0.926930i	$0.622438\pi$
$32$	5.34903	+	1.84061i	0.945584	+	0.325377i
$33$	−2.32377	+	0.622653i	−0.404517	+	0.108390i
$34$	−0.891302	−	2.42219i	−0.152857	−	0.415402i
$35$	4.01748	+	2.31949i	0.679079	+	0.392066i
$36$	5.25233	+	1.86979i	0.875388	+	0.311632i
$37$	−0.770995	+	2.87739i	−0.126751	+	0.473041i	−0.999896	−	0.0144196i	$-0.995410\pi$
$37$	−0.770995	+	2.87739i	−0.126751	+	0.473041i	0.873145	+	0.487460i	$0.162077\pi$
$38$	−0.713294	−	0.329553i	−0.115712	−	0.0534605i
$39$	7.57724	+	4.22189i	1.21333	+	0.676043i
$40$	−1.93212	−	6.91684i	−0.305495	−	1.09365i
$41$	9.09585	+	2.43722i	1.42053	+	0.380631i	0.885673	−	0.464310i	$-0.153698\pi$
$41$	9.09585	+	2.43722i	1.42053	+	0.380631i	0.534860	+	0.844941i	$0.320364\pi$
$42$	0.563621	+	6.19038i	0.0869686	+	0.955196i
$43$	4.68188	−	8.10926i	0.713980	−	1.23665i	−0.249371	−	0.968408i	$-0.580224\pi$
$43$	4.68188	−	8.10926i	0.713980	−	1.23665i	0.963351	−	0.268242i	$-0.0864428\pi$
$44$	−0.160237	+	1.99357i	−0.0241566	+	0.300542i
$45$	−1.83192	−	6.83681i	−0.273086	−	1.01917i
$46$	−0.0981267	+	0.568230i	−0.0144680	+	0.0837809i
$47$	4.64633	−	4.64633i	0.677737	−	0.677737i	−0.281751	−	0.959488i	$-0.590915\pi$
$47$	4.64633	−	4.64633i	0.677737	−	0.677737i	0.959488	+	0.281751i	$0.0909152\pi$
$48$	6.08080	−	7.45826i	0.877688	−	1.07651i
$49$	3.17136	−	1.83098i	0.453051	−	0.261569i
$50$	−1.30981	+	1.57222i	−0.185236	+	0.222345i
$51$	−4.39054			−0.614798
$52$	5.41919	−	4.75735i	0.751507	−	0.659726i
$53$	13.9196			1.91201			0.956004	−	0.293352i	$-0.0947709\pi$
$53$	13.9196			1.91201			0.956004	+	0.293352i	$0.0947709\pi$
$54$	−0.462525	+	0.555185i	−0.0629417	+	0.0755512i
$55$	2.19892	−	1.26954i	0.296502	−	0.171185i
$56$	5.00542	+	1.28453i	0.668878	+	0.171652i
$57$	−0.945149	+	0.945149i	−0.125188	+	0.125188i
$58$	0.621012	−	3.59614i	0.0815428	−	0.472196i
$59$	2.75012	+	10.2636i	0.358035	+	1.33621i	0.876622	+	0.481180i	$0.159792\pi$
$59$	2.75012	+	10.2636i	0.358035	+	1.33621i	−0.518587	+	0.855025i	$0.673542\pi$
$60$	−12.1775	−	0.978791i	−1.57211	−	0.126361i
$61$	0.140185	−	0.242808i	0.0179489	−	0.0310884i	−0.856911	−	0.515464i	$-0.827620\pi$
$61$	0.140185	−	0.242808i	0.0179489	−	0.0310884i	0.874860	+	0.484375i	$0.160953\pi$
$62$	−0.557040	−	6.11810i	−0.0707442	−	0.777000i
$63$	4.91950	+	1.31818i	0.619799	+	0.166075i
$64$	−4.14587	−	6.84191i	−0.518234	−	0.855239i
$65$	−8.87800	−	2.23423i	−1.10118	−	0.277122i
$66$	3.08853	+	1.42695i	0.380172	+	0.175645i
$67$	−1.69398	+	6.32203i	−0.206953	+	0.772359i	0.781892	+	0.623413i	$0.214255\pi$
$67$	−1.69398	+	6.32203i	−0.206953	+	0.772359i	−0.988845	+	0.148946i	$0.952412\pi$
$68$	−1.22413	+	3.43865i	−0.148448	+	0.416997i
$69$	0.849513	+	0.490467i	0.102269	+	0.0590453i
$70$	−2.26559	−	6.15691i	−0.270789	−	0.735892i
$71$	−7.39953	+	1.98270i	−0.878163	+	0.235303i	−0.669614	−	0.742709i	$-0.733541\pi$
$71$	−7.39953	+	1.98270i	−0.878163	+	0.235303i	−0.208548	+	0.978012i	$0.566874\pi$
$72$	−4.01438	−	6.78607i	−0.473100	−	0.799747i
$73$	−1.19135	−	1.19135i	−0.139437	−	0.139437i	0.633943	−	0.773380i	$-0.281435\pi$
$73$	−1.19135	−	1.19135i	−0.139437	−	0.139437i	−0.773380	+	0.633943i	$0.781435\pi$
$74$	3.44237	−	2.42853i	0.400167	−	0.282311i
$75$	1.74053	+	3.01468i	0.200979	+	0.348106i
$76$	0.476718	+	1.00376i	0.0546833	+	0.115139i
$77$			1.82703i			0.208209i
$78$	−4.41139	−	11.4463i	−0.499492	−	1.29604i
$79$			9.57345i			1.07710i	0.842595	+	0.538548i	$0.181027\pi$
$79$			9.57345i			1.07710i	−0.842595	+	0.538548i	$0.818973\pi$
$80$	−4.16183	+	9.26449i	−0.465307	+	1.03580i
$81$	4.79603	+	8.30697i	0.532892	+	0.922997i
$82$	−7.67693	−	10.8818i	−0.847775	−	1.20169i
$83$	−2.91060	−	2.91060i	−0.319479	−	0.319479i	0.529088	−	0.848567i	$-0.322534\pi$
$83$	−2.91060	−	2.91060i	−0.319479	−	0.319479i	−0.848567	+	0.529088i	$0.822534\pi$
$84$	4.99118	−	7.23637i	0.544582	−	0.789553i
$85$	4.47600	−	1.19934i	0.485490	−	0.130087i
$86$	−12.4277	+	4.57307i	−1.34011	+	0.493126i
$87$	−5.37629	−	3.10400i	−0.576399	−	0.332784i
$88$	1.97870	−	2.02107i	0.210930	−	0.215447i
$89$	−3.40706	+	12.7153i	−0.361148	+	1.34782i	0.511420	+	0.859331i	$0.329120\pi$
$89$	−3.40706	+	12.7153i	−0.361148	+	1.34782i	−0.872568	+	0.488492i	$0.837547\pi$
$90$	−4.19826	+	9.08683i	−0.442535	+	0.957836i
$91$	4.58641	−	4.72856i	0.480786	−	0.495688i
$92$	0.620986	−	0.528587i	0.0647423	−	0.0551090i
$93$	−10.0946	−	2.70483i	−1.04676	−	0.280478i
$94$	−9.25438	+	0.842591i	−0.954516	+	0.0869066i
$95$	0.705365	−	1.22173i	0.0723689	−	0.125347i
$96$	−13.3584	+	2.59941i	−1.36338	+	0.265301i
$97$	−2.39007	−	8.91985i	−0.242675	−	0.905674i	−0.974538	−	0.224222i	$-0.928016\pi$
$97$	−2.39007	−	8.91985i	−0.242675	−	0.905674i	0.731863	−	0.681451i	$-0.238651\pi$
$98$	−5.10327	−	0.881275i	−0.515508	−	0.0890222i
$99$	1.97114	−	1.97114i	0.198107	−	0.198107i
$100$	2.84637	−	0.522644i	0.284637	−	0.0522644i
$101$	14.9014	−	8.60334i	1.48275	−	0.856064i	0.482939	−	0.875654i	$-0.339569\pi$
$101$	14.9014	−	8.60334i	1.48275	−	0.856064i	0.999808	+	0.0195896i	$0.00623596\pi$
$102$	4.77055	+	3.97435i	0.472355	+	0.393519i
$103$	1.06374			0.104814			0.0524069	−	0.998626i	$-0.483311\pi$
$103$	1.06374			0.104814			0.0524069	+	0.998626i	$0.483311\pi$
$104$	−10.1946	+	0.263619i	−0.999666	+	0.0258500i
$105$	−11.1602			−1.08913
$106$	−15.1244	−	12.6002i	−1.46901	−	1.22384i
$107$	−3.27072	+	1.88835i	−0.316192	+	0.182554i	−0.649694	−	0.760196i	$-0.725103\pi$
$107$	−3.27072	+	1.88835i	−0.316192	+	0.182554i	0.333502	+	0.942749i	$0.391770\pi$
$108$	1.00512	−	0.184557i	0.0967174	−	0.0177590i
$109$	7.51182	−	7.51182i	0.719502	−	0.719502i	−0.249001	−	0.968503i	$-0.580102\pi$
$109$	7.51182	−	7.51182i	0.719502	−	0.719502i	0.968503	+	0.249001i	$0.0801023\pi$
$110$	−3.53844	−	0.611048i	−0.337377	−	0.0582611i
$111$	−1.85482	−	6.92228i	−0.176052	−	0.657033i
$112$	−4.27590	−	5.92666i	−0.404034	−	0.560016i
$113$	−6.60195	+	11.4349i	−0.621059	+	1.07571i	0.368229	+	0.929735i	$0.379964\pi$
$113$	−6.60195	+	11.4349i	−0.621059	+	1.07571i	−0.989289	+	0.145972i	$0.953369\pi$
$114$	1.88251	−	0.171399i	0.176313	−	0.0160530i
$115$	−1.00003	−	0.267956i	−0.0932530	−	0.0249871i
$116$	−3.93002	+	3.34525i	−0.364893	+	0.310599i
$117$	−10.0497	+	0.153367i	−0.929095	+	0.0141788i
$118$	6.30253	−	13.6414i	0.580195	−	1.25579i
$119$	−0.862998	+	3.22075i	−0.0791109	+	0.295246i
$120$	12.3455	+	12.0867i	1.12699	+	1.10336i
$121$	0.866025	+	0.500000i	0.0787296	+	0.0454545i
$122$	−0.372110	+	0.136927i	−0.0336893	+	0.0123968i
$123$	−21.8823	+	5.86334i	−1.97306	+	0.528680i
$124$	−4.93290	+	7.15188i	−0.442988	+	0.642258i
$125$	6.37913	+	6.37913i	0.570566	+	0.570566i
$126$	−4.15208	−	5.88544i	−0.369896	−	0.524317i
$127$	−0.000182707	0	0.000316457i	−1.62126e−5	0	2.80811e-5i	0.866017	−	0.500014i	$-0.166672\pi$
$127$	−0.000182707	0	0.000316457i	−1.62126e−5	0	2.80811e-5i	−0.866034	+	0.499986i	$0.833338\pi$
$128$	−1.68864	+	11.1870i	−0.149256	+	0.988799i
$129$			22.5268i			1.98338i
$130$	7.62398	+	10.4640i	0.668667	+	0.917758i
$131$		−	19.3809i		−	1.69332i	−0.532138	−	0.846658i	$-0.678611\pi$
$131$		−	19.3809i		−	1.69332i	0.532138	−	0.846658i	$-0.321389\pi$
$132$	−2.06417	−	4.34622i	−0.179663	−	0.378290i
$133$	0.507553	+	0.879107i	0.0440104	+	0.0762283i
$134$	7.56336	−	5.33582i	0.653374	−	0.460944i
$135$	−0.917381	−	0.917381i	−0.0789556	−	0.0789556i
$136$	4.44278	−	2.62818i	0.380965	−	0.225365i
$137$	−15.2599	+	4.08889i	−1.30374	+	0.349337i	−0.842865	−	0.538126i	$-0.819133\pi$
$137$	−15.2599	+	4.08889i	−1.30374	+	0.349337i	−0.460879	+	0.887463i	$0.652466\pi$
$138$	−0.479067	−	1.30190i	−0.0407809	−	0.110825i
$139$	11.7192	+	6.76606i	0.994006	+	0.573890i	0.906469	−	0.422271i	$-0.138767\pi$
$139$	11.7192	+	6.76606i	0.994006	+	0.573890i	0.0875369	+	0.996161i	$0.472100\pi$
$140$	−3.11161	+	8.74064i	−0.262979	+	0.738719i
$141$	−4.09139	+	15.2693i	−0.344557	+	1.28590i
$142$	9.83474	+	4.54381i	0.825313	+	0.381308i
$143$	−0.986219	−	3.46805i	−0.0824718	−	0.290013i
$144$	−1.78097	+	11.0073i	−0.148414	+	0.917274i
$145$	6.32884	+	1.69581i	0.525582	+	0.140829i
$146$	0.216046	+	2.37288i	0.0178801	+	0.196381i
$147$	−4.40488	+	7.62947i	−0.363308	+	0.629268i
$148$	−5.93864	−	0.477329i	−0.488153	−	0.0392362i
$149$	−1.91505	−	7.14707i	−0.156887	−	0.585511i	−0.998936	−	0.0461102i	$-0.985317\pi$
$149$	−1.91505	−	7.14707i	−0.156887	−	0.585511i	0.842049	−	0.539401i	$-0.181349\pi$
$150$	0.837738	−	4.85115i	0.0684010	−	0.396095i
$151$	12.6987	−	12.6987i	1.03341	−	1.03341i	0.0339862	−	0.999422i	$-0.489180\pi$
$151$	12.6987	−	12.6987i	1.03341	−	1.03341i	0.999422	−	0.0339862i	$-0.0108202\pi$
$152$	0.390628	−	1.52216i	0.0316842	−	0.123464i
$153$	4.40586	−	2.54372i	0.356192	−	0.205648i
$154$	1.65384	−	1.98516i	0.133270	−	0.159969i
$155$	11.0299			0.885945
$156$	−5.56806	+	16.4302i	−0.445801	+	1.31547i
$157$	−10.8979			−0.869745			−0.434872	−	0.900492i	$-0.643207\pi$
$157$	−10.8979			−0.869745			−0.434872	+	0.900492i	$0.643207\pi$
$158$	8.66596	−	10.4021i	0.689427	−	0.827544i
$159$	−29.0007	+	16.7435i	−2.29990	+	1.32785i
$160$	12.9083	−	6.29905i	1.02049	−	0.497983i
$161$	0.526769	−	0.526769i	0.0415152	−	0.0415152i
$162$	2.30839	−	13.3674i	0.181364	−	1.05024i
$163$	−4.72183	−	17.6221i	−0.369842	−	1.38027i	−0.860737	−	0.509050i	$-0.829997\pi$
$163$	−4.72183	−	17.6221i	−0.369842	−	1.38027i	0.490895	−	0.871219i	$-0.336670\pi$
$164$	−1.50890	+	18.7729i	−0.117826	+	1.46592i
$165$	−3.05420	+	5.29003i	−0.237769	+	0.411828i
$166$	0.527824	+	5.79721i	0.0409671	+	0.449951i
$167$	1.20664	+	0.323319i	0.0933727	+	0.0250191i	0.305203	−	0.952287i	$-0.401276\pi$
$167$	1.20664	+	0.323319i	0.0933727	+	0.0250191i	−0.211830	+	0.977306i	$0.567942\pi$
$168$	−11.9736	+	3.34465i	−0.923783	+	0.258046i
$169$	−6.15343	+	11.4514i	−0.473341	+	0.880879i
$170$	−5.94906	−	2.74856i	−0.456272	−	0.210805i
$171$	0.400861	−	1.49603i	0.0306546	−	0.114405i
$172$	17.6429	+	6.28075i	1.34526	+	0.478903i
$173$	−1.90178	−	1.09799i	−0.144589	−	0.0834787i	0.425960	−	0.904742i	$-0.359936\pi$
$173$	−1.90178	−	1.09799i	−0.144589	−	0.0834787i	−0.570549	+	0.821263i	$0.693270\pi$
$174$	3.03186	+	8.23933i	0.229845	+	0.624622i
$175$	2.55359	−	0.684231i	0.193033	−	0.0517230i
$176$	−3.97946	+	0.404868i	−0.299963	+	0.0305181i
$177$	−18.0755	−	18.0755i	−1.35864	−	1.35864i
$178$	15.2120	−	10.7318i	1.14019	−	0.804382i
$179$	−8.18135	−	14.1705i	−0.611503	−	1.05915i	−0.990987	−	0.133956i	$-0.957232\pi$
$179$	−8.18135	−	14.1705i	−0.611503	−	1.05915i	0.379485	−	0.925198i	$-0.376101\pi$
$180$	12.7871	−	6.07303i	0.953094	−	0.452657i
$181$		−	0.940852i		−	0.0699329i	−0.999388	−	0.0349665i	$-0.988868\pi$
$181$		−	0.940852i		−	0.0699329i	0.999388	−	0.0349665i	$-0.0111324\pi$
$182$	−9.26371	+	0.986184i	−0.686672	+	0.0731008i
$183$			0.674500i			0.0498605i
$184$	−1.15322	+	0.0122167i	−0.0850162	+	0.000900625i
$185$	3.78184	+	6.55035i	0.278047	+	0.481591i
$186$	8.51986	+	12.0766i	0.624706	+	0.885502i
$187$	1.29049	+	1.29049i	0.0943696	+	0.0943696i
$188$	10.8181	+	7.46161i	0.788991	+	0.544194i
$189$	0.901729	−	0.241618i	0.0655911	−	0.0175751i
$190$	−1.87233	+	0.688971i	−0.135833	+	0.0499832i
$191$	6.65491	+	3.84221i	0.481532	+	0.278013i	0.721055	−	0.692878i	$-0.243658\pi$
$191$	6.65491	+	3.84221i	0.481532	+	0.278013i	−0.239522	+	0.970891i	$0.576991\pi$
$192$	16.8676	+	9.26772i	1.21731	+	0.668840i
$193$	0.222889	−	0.831833i	0.0160439	−	0.0598766i	−0.957440	−	0.288633i	$-0.906799\pi$
$193$	0.222889	−	0.831833i	0.0160439	−	0.0598766i	0.973484	+	0.228756i	$0.0734659\pi$
$194$	−5.47738	+	11.8554i	−0.393253	+	0.851168i
$195$	21.1842	−	6.02423i	1.51704	−	0.431404i
$196$	4.74724	+	5.57707i	0.339088	+	0.398362i
$197$	12.1318	+	3.25072i	0.864358	+	0.231604i	0.663647	−	0.748046i	$-0.269008\pi$
$197$	12.1318	+	3.25072i	0.864358	+	0.231604i	0.200712	+	0.979650i	$0.435675\pi$
$198$	−3.92603	+	0.357457i	−0.279011	+	0.0254034i
$199$	−4.82608	+	8.35902i	−0.342112	+	0.592555i	−0.984825	−	0.173552i	$-0.944475\pi$
$199$	−4.82608	+	8.35902i	−0.342112	+	0.592555i	0.642713	+	0.766107i	$0.277809\pi$
$200$	−3.56583	−	2.00867i	−0.252142	−	0.142035i
$201$	−4.07529	−	15.2092i	−0.287449	−	1.07277i
$202$	−23.9790	−	4.14090i	−1.68716	−	0.291352i
$203$	−3.33375	+	3.33375i	−0.233983	+	0.233983i
$204$	−1.58585	−	8.63668i	−0.111032	−	0.604689i
$205$	20.7066	−	11.9549i	1.44621	−	0.834969i
$206$	−1.15581	−	0.962909i	−0.0805294	−	0.0670891i
$207$	−1.13664			−0.0790017
$208$	11.3156	+	8.94182i	0.784599	+	0.620004i
$209$	0.555605			0.0384320
$210$	12.1262	+	10.1023i	0.836786	+	0.697127i
$211$	−22.1972	+	12.8156i	−1.52812	+	0.882260i	−0.528678	+	0.848823i	$0.677312\pi$
$211$	−22.1972	+	12.8156i	−1.52812	+	0.882260i	−0.999441	+	0.0334373i	$0.989355\pi$
$212$	5.02773	+	27.3815i	0.345306	+	1.88057i
$213$	13.0315	−	13.0315i	0.892905	−	0.892905i
$214$	5.26316	+	0.908887i	0.359782	+	0.0621302i
$215$	−6.15354	−	22.9653i	−0.419668	−	1.56622i
$216$	−1.25918	−	0.709308i	−0.0856760	−	0.0482623i
$217$	−3.96835	+	6.87338i	−0.269389	+	0.466596i
$218$	−14.9618	+	1.36224i	−1.01334	+	0.0922623i
$219$	3.91514	+	1.04906i	0.264561	+	0.0708889i
$220$	3.29158	+	3.86696i	0.221918	+	0.260711i
$221$	−0.100408	−	6.57944i	−0.00675418	−	0.442581i
$222$	−4.25074	+	9.20042i	−0.285291	+	0.617492i
$223$	2.24359	−	8.37321i	0.150242	−	0.560712i	−0.849224	−	0.528033i	$-0.822930\pi$
$223$	2.24359	−	8.37321i	0.150242	−	0.560712i	0.999466	−	0.0326783i	$-0.0104037\pi$
$224$	−0.718867	+	10.3102i	−0.0480313	+	0.688879i
$225$	−3.49320	−	2.01680i	−0.232880	−	0.134453i
$226$	17.5244	−	6.44851i	1.16570	−	0.428948i
$227$	1.30939	−	0.350850i	0.0869071	−	0.0232867i	−0.215103	−	0.976591i	$-0.569009\pi$
$227$	1.30939	−	0.350850i	0.0869071	−	0.0232867i	0.302011	+	0.953305i	$0.402342\pi$
$228$	−2.20060	−	1.51783i	−0.145738	−	0.100521i
$229$	3.96134	+	3.96134i	0.261773	+	0.261773i	0.825774	−	0.564001i	$-0.190739\pi$
$229$	3.96134	+	3.96134i	0.261773	+	0.261773i	−0.564001	+	0.825774i	$0.690739\pi$
$230$	0.844027	+	1.19638i	0.0556535	+	0.0788871i
$231$	−2.19768	−	3.80650i	−0.144597	−	0.250449i
$232$	7.29832	−	0.0773153i	0.479159	−	0.00507600i
$233$		−	27.8959i		−	1.82752i	−0.406249	−	0.913762i	$-0.633164\pi$
$233$		−	27.8959i		−	1.82752i	0.406249	−	0.913762i	$-0.366836\pi$
$234$	11.0584	+	8.93042i	0.722908	+	0.583800i
$235$		−	16.6841i		−	1.08835i
$236$	−19.1963	+	9.11698i	−1.24957	+	0.593465i
$237$	−11.5156	−	19.9457i	−0.748021	−	1.29561i
$238$	3.85314	−	2.71833i	0.249762	−	0.176203i
$239$	2.21384	+	2.21384i	0.143202	+	0.143202i	0.775073	−	0.631872i	$-0.217713\pi$
$239$	2.21384	+	2.21384i	0.143202	+	0.143202i	−0.631872	+	0.775073i	$0.717713\pi$
$240$	−2.47310	−	24.3081i	−0.159638	−	1.56908i
$241$	−18.3589	+	4.91926i	−1.18260	+	0.316877i	−0.795958	−	0.605352i	$-0.793033\pi$
$241$	−18.3589	+	4.91926i	−1.18260	+	0.316877i	−0.386644	+	0.922229i	$0.626366\pi$
$242$	−0.488379	−	1.32721i	−0.0313942	−	0.0853163i
$243$	−18.6569	−	10.7716i	−1.19684	−	0.690998i
$244$	0.528265	+	0.188059i	0.0338187	+	0.0120392i
$245$	2.40652	−	8.98124i	0.153747	−	0.573790i
$246$	29.0838	+	13.4372i	1.85432	+	0.856724i
$247$	−1.43797	−	1.39474i	−0.0914958	−	0.0887452i
$248$	11.8338	−	3.30560i	0.751447	−	0.209906i
$249$	9.56512	+	2.56297i	0.606165	+	0.162421i
$250$	−1.15683	−	12.7057i	−0.0731641	−	0.803579i
$251$	6.63109	−	11.4854i	0.418551	−	0.724951i	−0.577243	−	0.816572i	$-0.695872\pi$
$251$	6.63109	−	11.4854i	0.418551	−	0.724951i	0.995794	+	0.0916213i	$0.0292049\pi$
$252$	−0.816092	+	10.1533i	−0.0514090	+	0.639600i
$253$	−0.105533	−	0.393853i	−0.00663477	−	0.0247613i
$254$	−8.79391e−5	0	0.000509236i	−5.51779e−6	0	3.19523e-5i
$255$	−7.88280	+	7.88280i	−0.493640	+	0.493640i
$256$	11.9613	−	10.6267i	0.747583	−	0.664168i
$257$	−13.3274	+	7.69459i	−0.831342	+	0.479976i	−0.854312	−	0.519761i	$-0.826021\pi$
$257$	−13.3274	+	7.69459i	−0.831342	+	0.479976i	0.0229699	+	0.999736i	$0.492688\pi$
$258$	20.3915	−	24.4766i	1.26952	−	1.52385i
$259$	−5.44253			−0.338182
$260$	1.18828	−	18.2710i	0.0736938	−	1.13312i
$261$	7.19340			0.445260
$262$	−17.5437	+	21.0584i	−1.08385	+	1.30099i
$263$	6.41656	−	3.70461i	0.395662	−	0.228436i	−0.288948	−	0.957345i	$-0.593306\pi$
$263$	6.41656	−	3.70461i	0.395662	−	0.228436i	0.684611	+	0.728909i	$0.259972\pi$
$264$	−1.69141	+	6.59090i	−0.104099	+	0.405642i
$265$	24.9914	−	24.9914i	1.53521	−	1.53521i
$266$	0.244292	−	1.41464i	0.0149785	−	0.0867370i
$267$	−8.19653	−	30.5899i	−0.501619	−	1.87207i
$268$	−13.0480	−	1.04876i	−0.797034	−	0.0640631i
$269$	−9.03201	+	15.6439i	−0.550691	+	0.953826i	0.447533	+	0.894267i	$0.352303\pi$
$269$	−9.03201	+	15.6439i	−0.550691	+	0.953826i	−0.998225	+	0.0595583i	$0.981031\pi$
$270$	0.166363	+	1.82720i	0.0101245	+	0.111200i
$271$	−16.6556	−	4.46284i	−1.01175	−	0.271098i	−0.285391	−	0.958411i	$-0.592123\pi$
$271$	−16.6556	−	4.46284i	−1.01175	−	0.271098i	−0.726362	+	0.687313i	$0.758790\pi$
$272$	−7.20637	−	1.16598i	−0.436950	−	0.0706980i
$273$	−3.86763	+	15.3685i	−0.234080	+	0.930145i
$274$	20.2820	+	9.37062i	1.22528	+	0.566100i
$275$	0.374505	−	1.39767i	0.0225835	−	0.0842828i
$276$	−0.657962	+	1.84824i	−0.0396047	+	0.111251i
$277$	−21.2902	−	12.2919i	−1.27920	−	0.738547i	−0.302500	−	0.953149i	$-0.597821\pi$
$277$	−21.2902	−	12.2919i	−1.27920	−	0.738547i	−0.976702	+	0.214602i	$0.931155\pi$
$278$	−6.60880	−	17.9600i	−0.396370	−	1.07717i
$279$	11.6969	−	3.13417i	0.700274	−	0.187638i
$280$	11.2930	−	6.68052i	0.674887	−	0.399238i
$281$	6.57247	+	6.57247i	0.392081	+	0.392081i	0.875428	−	0.483348i	$-0.160579\pi$
$281$	6.57247	+	6.57247i	0.392081	+	0.392081i	−0.483348	+	0.875428i	$0.660579\pi$
$282$	18.2674	−	12.8873i	1.08781	−	0.767429i
$283$	−7.60110	−	13.1655i	−0.451839	−	0.782607i	0.546662	−	0.837354i	$-0.315898\pi$
$283$	−7.60110	−	13.1655i	−0.451839	−	0.782607i	−0.998500	+	0.0547461i	$0.982565\pi$
$284$	−6.57288	−	13.8396i	−0.390029	−	0.821228i
$285$			3.39386i			0.201035i
$286$	−2.06773	+	4.66096i	−0.122267	+	0.275608i
$287$			17.2046i			1.01556i
$288$	11.8990	−	10.3479i	0.701155	−	0.609754i
$289$	−6.83465	−	11.8380i	−0.402038	−	0.696350i
$290$	−5.34157	−	7.57151i	−0.313668	−	0.444614i
$291$	15.7090	+	15.7090i	0.920878	+	0.920878i
$292$	1.91321	−	2.77383i	0.111962	−	0.162326i
$293$	9.87627	−	2.64634i	0.576978	−	0.154601i	0.0414829	−	0.999139i	$-0.486792\pi$
$293$	9.87627	−	2.64634i	0.576978	−	0.154601i	0.535495	+	0.844538i	$0.320125\pi$
$294$	11.6924	−	4.30250i	0.681914	−	0.250927i
$295$	23.3649	+	13.4897i	1.36036	+	0.785403i
$296$	6.02057	+	5.89435i	0.349939	+	0.342602i
$297$	0.132246	−	0.493549i	0.00767370	−	0.0286386i
$298$	−4.38878	+	9.49920i	−0.254235	+	0.550274i
$299$	−0.715562	+	1.28426i	−0.0413820	+	0.0742704i
$300$	−5.30155	+	4.51271i	−0.306085	+	0.260542i
$301$	16.5249	+	4.42784i	0.952481	+	0.255217i
$302$	−25.2929	+	2.30286i	−1.45544	+	0.132515i
$303$	−20.6974	+	35.8490i	−1.18904	+	2.05947i
$304$	−1.80231	+	1.30031i	−0.103370	+	0.0745780i
$305$	−0.184250	−	0.687629i	−0.0105501	−	0.0393735i
$306$	−7.08980	−	1.22433i	−0.405297	−	0.0699900i
$307$	15.9378	−	15.9378i	0.909617	−	0.909617i	−0.0866245	−	0.996241i	$-0.527608\pi$
$307$	15.9378	−	15.9378i	0.909617	−	0.909617i	0.996241	+	0.0866245i	$0.0276080\pi$
$308$	−3.59397	+	0.659918i	−0.204786	+	0.0376023i
$309$	−2.21624	+	1.27955i	−0.126078	+	0.0727909i
$310$	−11.9846	−	9.98438i	−0.680680	−	0.567074i
$311$	19.6181			1.11244			0.556219	−	0.831036i	$-0.312251\pi$
$311$	19.6181			1.11244			0.556219	+	0.831036i	$0.312251\pi$
$312$	20.9228	−	12.8121i	1.18452	−	0.725341i
$313$	14.8175			0.837532			0.418766	−	0.908094i	$-0.362463\pi$
$313$	14.8175			0.837532			0.418766	+	0.908094i	$0.362463\pi$
$314$	11.8411	+	9.86484i	0.668233	+	0.556705i
$315$	11.1992	−	6.46584i	0.631002	−	0.364309i
$316$	−18.8321	+	3.45790i	−1.05939	+	0.194522i
$317$	−23.1267	+	23.1267i	−1.29892	+	1.29892i	−0.369821	+	0.929103i	$0.620581\pi$
$317$	−23.1267	+	23.1267i	−1.29892	+	1.29892i	−0.929103	+	0.369821i	$0.879419\pi$
$318$	46.6672	+	8.05888i	2.61696	+	0.451919i
$319$	0.667881	+	2.49256i	0.0373941	+	0.139557i
$320$	−19.7275	−	4.84048i	−1.10280	−	0.270591i
$321$	4.54289	−	7.86851i	0.253559	−	0.439178i
$322$	−1.04920	+	0.0955273i	−0.0584695	+	0.00532353i
$323$	0.979440	+	0.262440i	0.0544975	+	0.0146026i
$324$	−14.6084	+	12.4348i	−0.811580	+	0.690822i
$325$	−4.47785	+	2.67721i	−0.248387	+	0.148505i
$326$	−10.8211	+	23.4216i	−0.599328	+	1.29720i
$327$	−6.61464	+	24.6862i	−0.365790	+	1.36515i
$328$	18.6329	−	19.0319i	1.02883	−	1.05086i
$329$	10.3968	+	6.00261i	0.573196	+	0.330935i
$330$	8.10713	−	2.98322i	0.446283	−	0.164221i
$331$	−4.58825	+	1.22942i	−0.252193	+	0.0675749i	−0.382701	−	0.923872i	$-0.625006\pi$
$331$	−4.58825	+	1.22942i	−0.252193	+	0.0675749i	0.130508	+	0.991447i	$0.458339\pi$
$332$	4.67418	−	6.77677i	0.256529	−	0.371924i
$333$	5.87181	+	5.87181i	0.321773	+	0.321773i
$334$	−1.01841	−	1.44356i	−0.0557249	−	0.0789883i
$335$	8.30923	+	14.3920i	0.453982	+	0.786320i
$336$	16.0376	+	7.20445i	0.874921	+	0.393035i
$337$			29.4985i			1.60689i	0.595380	+	0.803444i	$0.297001\pi$
$337$			29.4985i			1.60689i	−0.595380	+	0.803444i	$0.702999\pi$
$338$	17.0520	−	6.87246i	0.927504	−	0.373813i
$339$		−	31.7652i		−	1.72525i
$340$	3.97596	+	8.37160i	0.215626	+	0.454014i
$341$	2.17202	+	3.76206i	0.117622	+	0.203727i
$342$	−1.78978	+	1.26266i	−0.0967801	+	0.0682767i
$343$	13.7742	+	13.7742i	0.743739	+	0.743739i
$344$	−13.4846	−	22.7949i	−0.727040	−	1.22902i
$345$	2.40581	−	0.644635i	0.129524	−	0.0347060i
$346$	1.07247	+	2.91453i	0.0576564	+	0.156686i
$347$	13.8312	+	7.98543i	0.742496	+	0.428681i	0.822976	−	0.568076i	$-0.192312\pi$
$347$	13.8312	+	7.98543i	0.742496	+	0.428681i	−0.0804798	+	0.996756i	$0.525645\pi$
$348$	4.16403	−	11.6969i	0.223215	−	0.627021i
$349$	−5.09751	+	19.0242i	−0.272863	+	1.01834i	0.684396	+	0.729110i	$0.260066\pi$
$349$	−5.09751	+	19.0242i	−0.272863	+	1.01834i	−0.957260	+	0.289230i	$0.906601\pi$
$350$	−3.39398	−	1.56807i	−0.181416	−	0.0838170i
$351$	−1.58123	+	0.945384i	−0.0843998	+	0.0504609i
$352$	4.69038	+	3.16233i	0.249998	+	0.168553i
$353$	15.8500	+	4.24699i	0.843610	+	0.226045i	0.654642	−	0.755939i	$-0.272819\pi$
$353$	15.8500	+	4.24699i	0.843610	+	0.226045i	0.188968	+	0.981983i	$0.439486\pi$
$354$	3.27791	+	36.0021i	0.174219	+	1.91349i
$355$	−9.72542	+	16.8449i	−0.516172	+	0.894036i
$356$	−26.2431	−	2.10934i	−1.39088	−	0.111795i
$357$	−2.07615	−	7.74830i	−0.109882	−	0.410084i
$358$	−3.93779	+	22.8028i	−0.208118	+	1.20517i
$359$	−24.5187	+	24.5187i	−1.29405	+	1.29405i	−0.361785	+	0.932261i	$0.617833\pi$
$359$	−24.5187	+	24.5187i	−1.29405	+	1.29405i	−0.932261	+	0.361785i	$0.882167\pi$
$360$	−19.3912	−	4.97632i	−1.02201	−	0.262275i
$361$	−16.1871	+	9.34565i	−0.851955	+	0.491876i
$362$	−0.851666	+	1.02229i	−0.0447626	+	0.0537301i
$363$	−2.40574			−0.126269
$364$	10.9582	+	7.31404i	0.574367	+	0.383360i
$365$	−4.27792			−0.223916
$366$	0.610563	−	0.732880i	0.0319146	−	0.0383083i
$367$	−10.4536	+	6.03540i	−0.545674	+	0.315045i	−0.747375	−	0.664402i	$-0.768686\pi$
$367$	−10.4536	+	6.03540i	−0.545674	+	0.315045i	0.201701	+	0.979447i	$0.435353\pi$
$368$	1.26409	+	1.03063i	0.0658952	+	0.0537251i
$369$	18.5616	−	18.5616i	0.966280	−	0.966280i
$370$	1.82025	−	10.5407i	0.0946302	−	0.547983i
$371$	6.58217	+	24.5650i	0.341729	+	1.27535i
$372$	1.67458	−	20.8341i	0.0868230	−	1.08020i
$373$	6.05075	−	10.4802i	0.313296	−	0.542644i	−0.665778	−	0.746150i	$-0.731900\pi$
$373$	6.05075	−	10.4802i	0.313296	−	0.542644i	0.979074	+	0.203506i	$0.0652335\pi$
$374$	−0.234024	−	2.57034i	−0.0121011	−	0.132909i
$375$	−20.9638	−	5.61723i	−1.08256	−	0.290072i
$376$	−5.00013	−	17.9001i	−0.257862	−	0.923126i
$377$	4.52856	−	8.12763i	0.233232	−	0.418594i
$378$	−1.19849	−	0.553722i	−0.0616437	−	0.0284804i
$379$	3.89147	−	14.5232i	0.199891	−	0.746005i	−0.791055	−	0.611745i	$-0.790468\pi$
$379$	3.89147	−	14.5232i	0.199891	−	0.746005i	0.990946	−	0.134260i	$-0.0428656\pi$
$380$	2.65805	+	0.946248i	0.136355	+	0.0485415i
$381$	0.000761316	0	0.000439546i	3.90034e−5	0	2.25186e-5i
$382$	−3.75291	−	10.1989i	−0.192016	−	0.521819i
$383$	7.25154	−	1.94304i	0.370536	−	0.0992849i	−0.0687455	−	0.997634i	$-0.521900\pi$
$383$	7.25154	−	1.94304i	0.370536	−	0.0992849i	0.439282	+	0.898349i	$0.355233\pi$
$384$	−9.93834	−	25.3386i	−0.507164	−	1.29305i
$385$	3.28026	+	3.28026i	0.167178	+	0.167178i
$386$	−0.995162	+	0.702070i	−0.0506524	+	0.0357344i
$387$	−13.0513	−	22.6054i	−0.663433	−	1.14910i
$388$	16.6831	−	7.92336i	0.846955	−	0.402248i
$389$		−	3.50382i		−	0.177651i	−0.996047	−	0.0888254i	$-0.971689\pi$
$389$		−	3.50382i		−	0.177651i	0.996047	−	0.0888254i	$-0.0283113\pi$
$390$	−28.4710	−	12.6305i	−1.44168	−	0.639570i
$391$		−	0.744146i		−	0.0376331i
$392$	−0.109718	−	10.3570i	−0.00554159	−	0.523109i
$393$	23.3127	+	40.3788i	1.17597	+	2.03684i
$394$	−10.2393	−	14.5139i	−0.515850	−	0.731201i
$395$	17.1882	+	17.1882i	0.864834	+	0.864834i
$396$	4.58942	+	3.16548i	0.230627	+	0.159071i
$397$	−33.3188	+	8.92773i	−1.67222	+	0.448070i	−0.965708	−	0.259631i	$-0.916399\pi$
$397$	−33.3188	+	8.92773i	−1.67222	+	0.448070i	−0.706512	+	0.707701i	$0.749733\pi$
$398$	12.8104	−	4.71391i	0.642129	−	0.236287i
$399$	−2.11491	−	1.22104i	−0.105878	−	0.0611286i
$400$	2.05620	+	5.41035i	0.102810	+	0.270518i
$401$	7.99351	−	29.8322i	0.399177	−	1.48975i	−0.415371	−	0.909652i	$-0.636348\pi$
$401$	7.99351	−	29.8322i	0.399177	−	1.48975i	0.814548	−	0.580096i	$-0.196985\pi$
$402$	−9.33946	+	20.2146i	−0.465810	+	1.00821i
$403$	3.82247	−	15.1891i	0.190411	−	0.756622i
$404$	22.3061	+	26.2053i	1.10977	+	1.30376i
$405$	23.5252	+	6.30357i	1.16898	+	0.313227i
$406$	6.64003	−	0.604561i	0.329539	−	0.0300038i
$407$	−1.48945	+	2.57980i	−0.0738292	+	0.127876i
$408$	−6.09489	+	10.8197i	−0.301742	+	0.535657i
$409$	2.83205	+	10.5693i	0.140036	+	0.522620i	0.999926	+	0.0121419i	$0.00386497\pi$
$409$	2.83205	+	10.5693i	0.140036	+	0.522620i	−0.859891	+	0.510478i	$0.829468\pi$
$410$	−33.3205	−	5.75406i	−1.64558	−	0.284173i
$411$	26.8747	−	26.8747i	1.32563	−	1.32563i
$412$	0.384221	+	2.09250i	0.0189292	+	0.103090i
$413$	−16.8125	+	9.70668i	−0.827287	+	0.477635i
$414$	1.23502	+	1.02889i	0.0606978	+	0.0505673i
$415$	−10.4514			−0.513040
$416$	−4.20084	−	19.9588i	−0.205963	−	0.978560i
$417$	−32.5548			−1.59422
$418$	−0.603694	−	0.502938i	−0.0295276	−	0.0245995i
$419$	8.00742	−	4.62309i	0.391188	−	0.225852i	−0.291487	−	0.956575i	$-0.594150\pi$
$419$	8.00742	−	4.62309i	0.391188	−	0.225852i	0.682675	+	0.730722i	$0.260817\pi$
$420$	−4.03104	−	21.9534i	−0.196695	−	1.07122i
$421$	5.42910	−	5.42910i	0.264598	−	0.264598i	−0.562321	−	0.826919i	$-0.690091\pi$
$421$	5.42910	−	5.42910i	0.264598	−	0.264598i	0.826919	+	0.562321i	$0.190091\pi$
$422$	35.7192	+	6.16829i	1.73878	+	0.300268i
$423$	−4.74081	−	17.6930i	−0.230506	−	0.860261i
$424$	19.3231	−	34.3026i	0.938410	−	1.66588i
$425$	1.32038	−	2.28697i	0.0640479	−	0.110934i
$426$	−25.9557	+	2.36321i	−1.25756	+	0.114498i
$427$	0.494791	+	0.132579i	0.0239446	+	0.00641593i
$428$	−4.89597	−	5.75181i	−0.236656	−	0.278024i
$429$	6.22635	+	6.03916i	0.300611	+	0.291574i
$430$	−14.1022	+	30.5233i	−0.680070	+	1.47196i
$431$	7.07133	−	26.3906i	0.340614	−	1.27119i	−0.557039	−	0.830486i	$-0.688063\pi$
$431$	7.07133	−	26.3906i	0.340614	−	1.27119i	0.897653	−	0.440702i	$-0.145271\pi$
$432$	0.726090	+	1.91052i	0.0349340	+	0.0919198i
$433$	−27.8956	−	16.1055i	−1.34058	−	0.773982i	−0.353684	−	0.935365i	$-0.615071\pi$
$433$	−27.8956	−	16.1055i	−1.34058	−	0.773982i	−0.986892	+	0.161383i	$0.948405\pi$
$434$	10.5337	−	3.87612i	0.505632	−	0.186060i
$435$	−15.2256	+	4.07968i	−0.730011	+	0.195606i
$436$	17.4899	+	12.0634i	0.837612	+	0.577730i
$437$	−0.160192	−	0.160192i	−0.00766302	−	0.00766302i
$438$	−3.30440	−	4.68388i	−0.157890	−	0.223804i
$439$	−6.89671	−	11.9454i	−0.329162	−	0.570125i	0.653184	−	0.757199i	$-0.273433\pi$
$439$	−6.89671	−	11.9454i	−0.329162	−	0.570125i	−0.982346	+	0.187074i	$0.940100\pi$
$440$	−0.0760748	−	7.18123i	−0.00362672	−	0.342352i
$441$		−	10.2081i		−	0.486101i
$442$	−5.84667	+	7.23981i	−0.278098	+	0.344363i
$443$			12.9612i			0.615805i	0.951418	+	0.307903i	$0.0996271\pi$
$443$			12.9612i			0.615805i	−0.951418	+	0.307903i	$0.900373\pi$
$444$	12.9469	−	6.14895i	0.614435	−	0.291816i
$445$	16.7121	+	28.9463i	0.792232	+	1.37219i
$446$	−10.0173	+	7.06702i	−0.474332	+	0.334633i
$447$	12.5869	+	12.5869i	0.595340	+	0.595340i
$448$	10.1140	−	10.5519i	0.477840	−	0.498529i
$449$	−31.1615	+	8.34971i	−1.47060	+	0.394047i	−0.903138	−	0.429350i	$-0.858743\pi$
$449$	−31.1615	+	8.34971i	−1.47060	+	0.394047i	−0.567465	+	0.823397i	$0.692076\pi$
$450$	1.96993	+	5.35344i	0.0928633	+	0.252363i
$451$	8.15511	+	4.70836i	0.384009	+	0.221708i
$452$	−24.8784	−	8.85653i	−1.17018	−	0.416576i
$453$	−11.1820	+	41.7320i	−0.525378	+	1.96074i
$454$	−1.74031	−	0.804052i	−0.0816769	−	0.0377360i
$455$	−0.255226	−	16.7242i	−0.0119652	−	0.784041i
$456$	1.01712	+	3.64121i	0.0476310	+	0.170515i
$457$	−4.40983	−	1.18161i	−0.206283	−	0.0552734i	0.154198	−	0.988040i	$-0.450721\pi$
$457$	−4.40983	−	1.18161i	−0.206283	−	0.0552734i	−0.360481	+	0.932767i	$0.617387\pi$
$458$	−0.718371	−	7.89004i	−0.0335673	−	0.368677i
$459$	0.466256	−	0.807580i	0.0217630	−	0.0376946i
$460$	0.165894	−	2.06395i	0.00773484	−	0.0962323i
$461$	1.77634	+	6.62938i	0.0827323	+	0.308761i	0.994875	−	0.101111i	$-0.0322399\pi$
$461$	1.77634	+	6.62938i	0.0827323	+	0.308761i	−0.912143	+	0.409872i	$0.865573\pi$
$462$	−1.05777	+	6.12532i	−0.0492120	+	0.284976i
$463$	−27.1047	+	27.1047i	−1.25966	+	1.25966i	−0.308407	+	0.951254i	$0.599796\pi$
$463$	−27.1047	+	27.1047i	−1.25966	+	1.25966i	−0.951254	+	0.308407i	$0.900204\pi$
$464$	−8.00001	−	6.52249i	−0.371391	−	0.302799i
$465$	−22.9801	+	13.2676i	−1.06568	+	0.615270i
$466$	−25.2516	+	30.3104i	−1.16976	+	1.40410i
$467$	38.1074			1.76340			0.881700	−	0.471811i	$-0.156399\pi$
$467$	38.1074			1.76340			0.881700	+	0.471811i	$0.156399\pi$
$468$	−3.93161	−	19.7135i	−0.181739	−	0.911257i
$469$	−11.9580			−0.552169
$470$	−15.1026	+	18.1282i	−0.696630	+	0.836190i
$471$	22.7050	−	13.1087i	1.04619	−	0.604019i
$472$	29.1106	+	7.47057i	1.33992	+	0.343861i
$473$	6.62118	−	6.62118i	0.304442	−	0.304442i
$474$	−5.54262	+	32.0961i	−0.254581	+	1.47422i
$475$	−0.208077	−	0.776553i	−0.00954721	−	0.0356307i
$476$	−6.64730	−	0.534288i	−0.304678	−	0.0244891i
$477$	19.4012	−	33.6039i	0.888322	−	1.53862i
$478$	−0.401471	−	4.40945i	−0.0183628	−	0.201683i
$479$	−19.2024	−	5.14527i	−0.877381	−	0.235094i	−0.208104	−	0.978107i	$-0.566729\pi$
$479$	−19.2024	−	5.14527i	−0.877381	−	0.235094i	−0.669277	+	0.743013i	$0.733396\pi$
$480$	−19.3168	+	28.6507i	−0.881685	+	1.30772i
$481$	10.3310	−	2.93785i	0.471051	−	0.133954i
$482$	24.4009	+	11.2736i	1.11143	+	0.513499i
$483$	−0.463854	+	1.73113i	−0.0211061	+	0.0787690i
$484$	−0.670751	+	1.88417i	−0.0304887	+	0.0856441i
$485$	−20.3059	−	11.7236i	−0.922044	−	0.532342i
$486$	10.5212	+	28.5923i	0.477253	+	1.29697i
$487$	−26.1158	+	6.99771i	−1.18342	+	0.317097i	−0.796282	−	0.604925i	$-0.793203\pi$
$487$	−26.1158	+	6.99771i	−1.18342	+	0.317097i	−0.387138	+	0.922022i	$0.626536\pi$
$488$	−0.403756	−	0.682526i	−0.0182772	−	0.0308965i
$489$	31.0348	+	31.0348i	1.40344	+	1.40344i
$490$	−10.7447	+	7.58020i	−0.485396	+	0.342438i
$491$	14.0151	+	24.2749i	0.632495	+	1.09551i	0.987040	+	0.160474i	$0.0513024\pi$
$491$	14.0151	+	24.2749i	0.632495	+	1.09551i	−0.354545	+	0.935039i	$0.615364\pi$
$492$	−19.4377	−	40.9271i	−0.876318	−	1.84514i
$493$			4.70945i			0.212103i
$494$	0.299901	+	2.81712i	0.0134932	+	0.126748i
$495$		−	7.07799i		−	0.318132i
$496$	−15.8503	−	7.12034i	−0.711700	−	0.319713i
$497$	−6.99803	−	12.1209i	−0.313904	−	0.543698i
$498$	−8.07300	−	11.4432i	−0.361760	−	0.512783i
$499$	−12.0487	−	12.0487i	−0.539372	−	0.539372i	0.383973	−	0.923344i	$-0.374556\pi$
$499$	−12.0487	−	12.0487i	−0.539372	−	0.539372i	−0.923344	+	0.383973i	$0.874556\pi$
$500$	−10.2443	+	14.8526i	−0.458141	+	0.664228i
$501$	−2.90287	+	0.777822i	−0.129691	+	0.0347505i
$502$	−17.6017	+	6.47697i	−0.785602	+	0.289081i
$503$	19.4083	+	11.2054i	0.865374	+	0.499624i	0.865808	−	0.500376i	$-0.166805\pi$
$503$	19.4083	+	11.2054i	0.865374	+	0.499624i	−0.000434468		1.00000i	$0.500138\pi$
$504$	10.0776	−	10.2934i	0.448892	−	0.458505i
$505$	11.3076	−	42.2006i	0.503183	−	1.87790i
$506$	−0.241852	+	0.523471i	−0.0107516	+	0.0232711i
$507$	−0.954336	−	31.2601i	−0.0423836	−	1.38831i
$508$	0.000556515	0	0.000473709i	2.46913e−5	0	2.10174e-5i
$509$	22.7953	+	6.10799i	1.01038	+	0.270732i	0.725790	−	0.687916i	$-0.241474\pi$
$509$	22.7953	+	6.10799i	1.01038	+	0.270732i	0.284595	+	0.958648i	$0.408141\pi$
$510$	15.7007	−	1.42951i	0.695237	−	0.0632998i
$511$	1.53911	−	2.66582i	0.0680862	−	0.117929i
$512$	−22.6160	+	0.718967i	−0.999495	+	0.0317742i
$513$	−0.0734766	−	0.274218i	−0.00324407	−	0.0121070i
$514$	21.4462	+	3.70350i	0.945950	+	0.163355i
$515$	1.90985	−	1.90985i	0.0841582	−	0.0841582i
$516$	−44.3128	+	8.13663i	−1.95076	+	0.358195i
$517$	5.69057	−	3.28545i	0.250271	−	0.144494i
$518$	5.91360	+	4.92662i	0.259829	+	0.216463i
$519$	5.28297			0.231897
$520$	−17.8302	+	18.7768i	−0.781907	+	0.823418i
$521$	−4.62365			−0.202566			−0.101283	−	0.994858i	$-0.532295\pi$
$521$	−4.62365			−0.202566			−0.101283	+	0.994858i	$0.532295\pi$
$522$	−7.81602	−	6.51152i	−0.342098	−	0.285002i
$523$	−8.00011	+	4.61887i	−0.349820	+	0.201969i	−0.664606	−	0.747194i	$-0.731401\pi$
$523$	−8.00011	+	4.61887i	−0.349820	+	0.201969i	0.314786	+	0.949163i	$0.398067\pi$
$524$	38.1244	−	7.00032i	1.66547	−	0.305810i
$525$	−4.49719	+	4.49719i	−0.196273	+	0.196273i
$526$	−10.3254	−	1.78307i	−0.450208	−	0.0777457i
$527$	2.05191	+	7.65784i	0.0893827	+	0.333581i
$528$	7.80394	−	5.63030i	0.339623	−	0.245027i
$529$	11.4169	−	19.7746i	0.496386	−	0.859765i
$530$	−49.7769	+	4.53208i	−2.16217	+	0.196861i
$531$	28.6109	+	7.66626i	1.24161	+	0.332687i
$532$	−1.54598	+	1.31595i	−0.0670266	+	0.0570535i
$533$	−9.28694	−	32.6576i	−0.402262	−	1.41456i
$534$	−18.7842	+	40.6571i	−0.812873	+	1.75940i
$535$	−2.48191	+	9.26263i	−0.107303	+	0.400458i
$536$	13.2280	+	12.9507i	0.571364	+	0.559385i
$537$	34.0906	+	19.6822i	1.47112	+	0.849351i
$538$	23.9747	−	8.82209i	1.03362	−	0.380347i
$539$	3.53719	−	0.947787i	0.152357	−	0.0408241i
$540$	1.47324	−	2.13595i	0.0633981	−	0.0919166i
$541$	−26.8724	−	26.8724i	−1.15533	−	1.15533i	−0.985467	−	0.169867i	$-0.945666\pi$
$541$	−26.8724	−	26.8724i	−1.15533	−	1.15533i	−0.169867	−	0.985467i	$-0.554334\pi$
$542$	14.0573	+	19.9259i	0.603815	+	0.855889i
$543$	1.13172	+	1.96020i	0.0485669	+	0.0841204i
$544$	6.77465	+	7.79016i	0.290461	+	0.334001i
$545$		−	26.9736i		−	1.15542i
$546$	18.1141	−	13.1977i	0.775212	−	0.564810i
$547$		−	13.8628i		−	0.592730i	−0.955075	−	0.296365i	$-0.904226\pi$
$547$		−	13.8628i		−	0.592730i	0.955075	−	0.296365i	$-0.0957745\pi$
$548$	−13.5551	−	28.5411i	−0.579047	−	1.21922i
$549$	−0.390782	−	0.676854i	−0.0166782	−	0.0288874i
$550$	−1.67210	+	1.17964i	−0.0712987	+	0.0503000i
$551$	1.01380	+	1.01380i	0.0431894	+	0.0431894i
$552$	2.38796	−	1.41262i	0.101638	−	0.0601253i
$553$	−16.8950	+	4.52699i	−0.718447	+	0.192507i
$554$	12.0062	+	32.6278i	0.510094	+	1.38622i
$555$	−15.7585	−	9.09815i	−0.668909	−	0.386195i
$556$	−9.07668	+	25.4968i	−0.384937	+	1.08131i
$557$	2.97030	−	11.0853i	0.125856	−	0.469699i	−0.874013	−	0.485902i	$-0.838491\pi$
$557$	2.97030	−	11.0853i	0.125856	−	0.469699i	0.999869	+	0.0162028i	$0.00515775\pi$
$558$	−15.5464	−	7.18267i	−0.658130	−	0.304067i
$559$	−33.7576	+	0.515171i	−1.42779	+	0.0217894i
$560$	−18.3177	−	2.96379i	−0.774066	−	0.125243i
$561$	−4.24093	−	1.13635i	−0.179052	−	0.0479769i
$562$	−1.19189	−	13.0908i	−0.0502768	−	0.552202i
$563$	9.92456	−	17.1898i	0.418271	−	0.724466i	−0.577495	−	0.816394i	$-0.695970\pi$
$563$	9.92456	−	17.1898i	0.418271	−	0.724466i	0.995766	+	0.0919284i	$0.0293031\pi$
$564$	−31.5142	−	2.53301i	−1.32699	−	0.106659i
$565$	8.67714	+	32.3835i	0.365050	+	1.36239i
$566$	−3.65851	+	21.1856i	−0.153778	+	0.890497i
$567$	−12.3920	+	12.3920i	−0.520416	+	0.520416i
$568$	−5.38590	+	20.9873i	−0.225987	+	0.880606i
$569$	7.50004	−	4.33015i	0.314418	−	0.181529i	−0.334484	−	0.942402i	$-0.608562\pi$
$569$	7.50004	−	4.33015i	0.314418	−	0.181529i	0.648902	+	0.760872i	$0.275229\pi$
$570$	3.07215	−	3.68761i	0.128678	−	0.154457i
$571$	−35.9118			−1.50286			−0.751431	−	0.659811i	$-0.770636\pi$
$571$	−35.9118			−1.50286			−0.751431	+	0.659811i	$0.770636\pi$
$572$	6.46583	−	3.19266i	0.270350	−	0.133492i
$573$	−18.4868			−0.772296
$574$	15.5737	−	18.6937i	0.650035	−	0.780261i
$575$	−0.510954	+	0.295000i	−0.0213083	+	0.0123023i
$576$	−22.2959	+	0.472438i	−0.928994	+	0.0196849i
$577$	1.56725	−	1.56725i	0.0652455	−	0.0652455i	−0.673731	−	0.738977i	$-0.735309\pi$
$577$	1.56725	−	1.56725i	0.0652455	−	0.0652455i	0.738977	+	0.673731i	$0.235309\pi$
$578$	−3.28960	+	19.0494i	−0.136829	+	0.792349i
$579$	0.536214	+	2.00118i	0.0222843	+	0.0831661i
$580$	−1.04989	+	13.0621i	−0.0435942	+	0.542373i
$581$	3.76021	−	6.51288i	0.156000	−	0.270200i
$582$	−2.84876	−	31.2886i	−0.118085	−	1.29695i
$583$	13.4453	+	3.60267i	0.556849	+	0.149207i
$584$	−4.58970	+	1.28207i	−0.189923	+	0.0530523i
$585$	−17.7679	+	18.3187i	−0.734614	+	0.757383i
$586$	−13.1266	−	6.06469i	−0.542254	−	0.250530i
$587$	−4.21243	+	15.7210i	−0.173866	+	0.648875i	0.822876	+	0.568220i	$0.192368\pi$
$587$	−4.21243	+	15.7210i	−0.173866	+	0.648875i	−0.996742	+	0.0806550i	$0.974299\pi$
$588$	−16.5991	−	5.90915i	−0.684534	−	0.243689i
$589$	2.09022	+	1.20679i	0.0861258	+	0.0497248i
$590$	−13.1762	−	35.8074i	−0.542456	−	1.47417i
$591$	−29.1861	+	7.82040i	−1.20056	+	0.321688i
$592$	−1.20606	−	11.8544i	−0.0495688	−	0.487213i
$593$	−16.9247	−	16.9247i	−0.695013	−	0.695013i	0.268318	−	0.963331i	$-0.413532\pi$
$593$	−16.9247	−	16.9247i	−0.695013	−	0.695013i	−0.963331	+	0.268318i	$0.913532\pi$
$594$	−0.590457	+	0.416558i	−0.0242268	+	0.0170916i
$595$	4.23313	+	7.33199i	0.173541	+	0.300582i
$596$	13.3674	−	6.34863i	0.547550	−	0.260050i
$597$		−	23.2206i		−	0.950357i
$598$	1.94001	−	0.747680i	0.0793331	−	0.0305749i
$599$			21.1584i			0.864508i	0.901752	+	0.432254i	$0.142282\pi$
$599$			21.1584i			0.864508i	−0.901752	+	0.432254i	$0.857718\pi$
$600$	9.84536	−	0.104297i	0.401935	−	0.00425793i
$601$	6.16078	+	10.6708i	0.251303	+	0.435270i	0.963885	−	0.266319i	$-0.0858075\pi$
$601$	6.16078	+	10.6708i	0.251303	+	0.435270i	−0.712582	+	0.701589i	$0.752474\pi$
$602$	−13.9471	−	19.7696i	−0.568442	−	0.805748i
$603$	12.9012	+	12.9012i	0.525377	+	0.525377i
$604$	29.5666	+	20.3931i	1.20305	+	0.829784i
$605$	2.45257	−	0.657165i	0.0997112	−	0.0267175i
$606$	54.9397	−	20.2164i	2.23177	−	0.821235i
$607$	42.4301	+	24.4970i	1.72218	+	0.994303i	0.914386	+	0.404843i	$0.132674\pi$
$607$	42.4301	+	24.4970i	1.72218	+	0.994303i	0.807797	+	0.589461i	$0.200660\pi$
$608$	3.13536	+	0.218610i	0.127156	+	0.00886579i
$609$	2.93558	−	10.9557i	0.118956	−	0.443949i
$610$	−0.422250	+	0.913930i	−0.0170964	+	0.0370039i
$611$	−22.9753	−	5.78196i	−0.929483	−	0.233913i
$612$	6.59518	+	7.74804i	0.266594	+	0.313196i
$613$	−3.11427	−	0.834467i	−0.125784	−	0.0337038i	0.195378	−	0.980728i	$-0.437407\pi$
$613$	−3.11427	−	0.834467i	−0.125784	−	0.0337038i	−0.321162	+	0.947024i	$0.604073\pi$
$614$	−31.7442	+	2.89024i	−1.28109	+	0.116641i
$615$	−28.7605	+	49.8147i	−1.15974	+	2.00872i
$616$	4.50241	+	2.53626i	0.181407	+	0.102189i
$617$	−11.4900	−	42.8813i	−0.462570	−	1.72634i	−0.664822	−	0.747002i	$-0.731492\pi$
$617$	−11.4900	−	42.8813i	−0.462570	−	1.72634i	0.202251	−	0.979334i	$-0.435174\pi$
$618$	3.56632	+	0.615862i	0.143459	+	0.0247736i
$619$	−4.07925	+	4.07925i	−0.163959	+	0.163959i	−0.784318	−	0.620359i	$-0.786987\pi$
$619$	−4.07925	+	4.07925i	−0.163959	+	0.163959i	0.620359	+	0.784318i	$0.286987\pi$
$620$	3.98398	+	21.6971i	0.160000	+	0.871377i
$621$	−0.180429	+	0.104171i	−0.00724039	+	0.00418024i
$622$	−21.3161	−	17.7584i	−0.854697	−	0.712048i
$623$	−24.0508			−0.963575
$624$	−34.3313	−	5.01845i	−1.37435	−	0.200899i
$625$	30.1411			1.20565
$626$	−16.1000	−	13.4129i	−0.643484	−	0.536086i
$627$	−1.15757	+	0.668321i	−0.0462288	+	0.0266902i
$628$	−3.93628	−	21.4374i	−0.157075	−	0.855444i
$629$	−3.84422	+	3.84422i	−0.153279	+	0.153279i
$630$	−18.0214	−	3.11209i	−0.717991	−	0.123989i
$631$	2.38813	+	8.91262i	0.0950699	+	0.354806i	0.997030	−	0.0770136i	$-0.0245385\pi$
$631$	2.38813	+	8.91262i	0.0950699	+	0.354806i	−0.901960	+	0.431819i	$0.857872\pi$
$632$	23.5922	+	13.2897i	0.938446	+	0.528637i
$633$	30.8310	−	53.4008i	1.22542	−	2.12249i
$634$	46.0628	−	4.19392i	1.82939	−	0.166562i
$635$	−0.000896203	0	0.000240137i	−3.55647e−5	0	9.52954e-6i
$636$	−43.4114	−	50.9999i	−1.72137	−	2.02228i
$637$	−11.5339	−	6.42646i	−0.456989	−	0.254625i
$638$	1.53060	−	3.31288i	0.0605971	−	0.131158i
$639$	−5.52699	+	20.6270i	−0.218644	+	0.815991i
$640$	17.0534	+	23.1170i	0.674095	+	0.913779i
$641$	34.5637	+	19.9553i	1.36518	+	0.788189i	0.990308	−	0.138887i	$-0.0443524\pi$
$641$	34.5637	+	19.9553i	1.36518	+	0.788189i	0.374875	+	0.927076i	$0.377686\pi$
$642$	−12.0587	+	4.43730i	−0.475920	+	0.175126i
$643$	−3.68872	+	0.988389i	−0.145469	+	0.0389783i	−0.330819	−	0.943694i	$-0.607325\pi$
$643$	−3.68872	+	0.988389i	−0.145469	+	0.0389783i	0.185350	+	0.982673i	$0.440658\pi$
$644$	1.22648	+	0.845947i	0.0483302	+	0.0333350i
$645$	40.4448	+	40.4448i	1.59251	+	1.59251i
$646$	−0.826651	−	1.17175i	−0.0325241	−	0.0461019i
$647$	7.34617	+	12.7239i	0.288808	+	0.500229i	0.973525	−	0.228579i	$-0.0734079\pi$
$647$	7.34617	+	12.7239i	0.288808	+	0.500229i	−0.684718	+	0.728808i	$0.740075\pi$
$648$	27.1289	−	0.287392i	1.06573	−	0.0112898i
$649$			10.6256i			0.417093i
$650$	7.28886	+	1.14445i	0.285893	+	0.0448891i
$651$		−	19.0937i		−	0.748340i
$652$	32.9592	−	15.6534i	1.29078	−	0.613035i
$653$	−18.0361	−	31.2394i	−0.705806	−	1.22249i	−0.966400	−	0.257043i	$-0.917252\pi$
$653$	−18.0361	−	31.2394i	−0.705806	−	1.22249i	0.260594	−	0.965449i	$-0.416082\pi$
$654$	29.5333	−	20.8352i	1.15484	−	0.814721i
$655$	−34.7966	−	34.7966i	−1.35961	−	1.35961i
$656$	−37.4734	+	3.81253i	−1.46309	+	0.148854i
$657$	−4.53659	+	1.21558i	−0.176989	+	0.0474242i
$658$	−5.86310	−	15.9334i	−0.228567	−	0.621150i
$659$	18.4868	+	10.6734i	0.720143	+	0.415775i	0.814805	−	0.579735i	$-0.196844\pi$
$659$	18.4868	+	10.6734i	0.720143	+	0.415775i	−0.0946622	+	0.995509i	$0.530177\pi$
$660$	−11.5093	−	4.09722i	−0.447997	−	0.159484i
$661$	2.44877	−	9.13894i	0.0952461	−	0.355463i	−0.901811	−	0.432132i	$-0.857762\pi$
$661$	2.44877	−	9.13894i	0.0952461	−	0.355463i	0.997057	+	0.0766682i	$0.0244282\pi$
$662$	6.09826	+	2.81749i	0.237015	+	0.109505i
$663$	8.12342	+	13.5871i	0.315488	+	0.527678i
$664$	−11.2131	+	3.13223i	−0.435154	+	0.121554i
$665$	2.48962	+	0.667092i	0.0965433	+	0.0258687i
$666$	−1.06483	−	11.6953i	−0.0412612	−	0.453182i
$667$	0.526093	−	0.911220i	0.0203704	−	0.0352826i
$668$	−0.200169	+	2.49038i	−0.00774477	+	0.0963558i
$669$	5.39752	+	20.1438i	0.208680	+	0.778804i
$670$	3.99934	−	23.1593i	0.154508	−	0.894721i
$671$	0.198252	−	0.198252i	0.00765343	−	0.00765343i
$672$	−10.9041	−	22.3454i	−0.420637	−	0.861991i
$673$	−7.41053	+	4.27847i	−0.285655	+	0.164923i	−0.635981	−	0.771705i	$-0.719404\pi$
$673$	−7.41053	+	4.27847i	−0.285655	+	0.164923i	0.350326	+	0.936628i	$0.386071\pi$
$674$	26.7023	−	32.0517i	1.02853	−	1.23459i
$675$	−0.739347			−0.0284575
$676$	−24.7489	−	7.96827i	−0.951880	−	0.306472i
$677$	−7.36858			−0.283197			−0.141599	−	0.989924i	$-0.545224\pi$
$677$	−7.36858			−0.283197			−0.141599	+	0.989924i	$0.545224\pi$
$678$	−28.7541	+	34.5146i	−1.10430	+	1.32553i
$679$	14.6113	−	8.43586i	0.560731	−	0.323738i
$680$	3.25795	−	12.6953i	0.124937	−	0.486841i
$681$	−2.30600	+	2.30600i	−0.0883661	+	0.0883661i
$682$	1.04542	−	6.05381i	0.0400313	−	0.231812i
$683$	−0.633618	−	2.36469i	−0.0242447	−	0.0904825i	0.952743	−	0.303776i	$-0.0982475\pi$
$683$	−0.633618	−	2.36469i	−0.0242447	−	0.0904825i	−0.976988	+	0.213294i	$0.931581\pi$
$684$	3.08766	+	0.248176i	0.118060	+	0.00948925i
$685$	−20.0566	+	34.7390i	−0.766322	+	1.32731i
$686$	−2.49790	−	27.4350i	−0.0953702	−	1.04747i
$687$	−13.0182	−	3.48821i	−0.496674	−	0.133084i
$688$	−5.98239	+	36.9742i	−0.228076	+	1.40963i
$689$	−25.7543	−	43.0761i	−0.981160	−	1.64107i
$690$	−3.19757	−	1.47733i	−0.121729	−	0.0562409i
$691$	−2.27295	+	8.48277i	−0.0864672	+	0.322700i	−0.995588	−	0.0938326i	$-0.970088\pi$
$691$	−2.27295	+	8.48277i	−0.0864672	+	0.322700i	0.909121	+	0.416533i	$0.136755\pi$
$692$	1.47296	−	4.13760i	0.0559934	−	0.157288i
$693$	4.41070	+	2.54652i	0.167549	+	0.0967343i
$694$	−7.79984	−	21.1967i	−0.296078	−	0.804615i
$695$	33.1885	−	8.89283i	1.25891	−	0.337324i
$696$	−15.1126	+	8.94004i	−0.572841	+	0.338871i
$697$	12.1521	+	12.1521i	0.460295	+	0.460295i
$698$	22.7595	−	16.0565i	0.861461	−	0.607746i
$699$	33.5553	+	58.1194i	1.26918	+	2.19828i
$700$	2.26831	+	4.77605i	0.0857340	+	0.180518i
$701$		−	28.6519i		−	1.08217i	−0.840969	−	0.541083i	$-0.818015\pi$
$701$		−	28.6519i		−	1.08217i	0.840969	−	0.541083i	$-0.181985\pi$
$702$	2.57386	+	0.404131i	0.0971441	+	0.0152530i
$703$			1.65509i			0.0624229i
$704$	−2.23379	−	7.68181i	−0.0841892	−	0.289519i
$705$	20.0688	+	34.7603i	0.755837	+	1.30915i
$706$	−13.3775	−	18.9621i	−0.503467	−	0.713649i
$707$	22.2294	+	22.2294i	0.836022	+	0.836022i
$708$	29.0277	−	42.0853i	1.09093	−	1.58166i
$709$	16.2477	−	4.35356i	0.610196	−	0.163502i	0.0595290	−	0.998227i	$-0.481040\pi$
$709$	16.2477	−	4.35356i	0.610196	−	0.163502i	0.550667	+	0.834725i	$0.314373\pi$
$710$	25.8153	−	9.49938i	0.968833	−	0.356505i
$711$	23.1116	+	13.3435i	0.866754	+	0.500421i
$712$	26.6052	+	26.0474i	0.997072	+	0.976168i
$713$	0.458438	−	1.71091i	0.0171686	−	0.0640743i
$714$	−4.75798	+	10.2983i	−0.178063	+	0.385404i
$715$	−7.99723	−	4.45590i	−0.299079	−	0.166641i
$716$	24.9199	−	21.2120i	0.931301	−	0.792729i
$717$	−7.27537	−	1.94943i	−0.271704	−	0.0728028i
$718$	48.8354	−	4.44636i	1.82252	−	0.165937i
$719$	4.72305	−	8.18057i	0.176140	−	0.305084i	−0.764415	−	0.644724i	$-0.776972\pi$
$719$	4.72305	−	8.18057i	0.176140	−	0.305084i	0.940555	+	0.339641i	$0.110305\pi$
$720$	16.5650	+	22.9601i	0.617341	+	0.855673i
$721$	0.503012	+	1.87727i	0.0187332	+	0.0699131i
$722$	26.0480	+	4.49818i	0.969405	+	0.167405i
$723$	32.3324	−	32.3324i	1.20246	−	1.20246i
$724$	1.85076	−	0.339833i	0.0687830	−	0.0126298i
$725$	3.23366	−	1.86696i	0.120095	−	0.0693370i
$726$	2.61397	+	2.17770i	0.0970135	+	0.0808220i
$727$	40.6847			1.50891			0.754457	−	0.656350i	$-0.227900\pi$
$727$	40.6847			1.50891			0.754457	+	0.656350i	$0.227900\pi$
$728$	−5.28596	−	17.8666i	−0.195911	−	0.662179i
$729$	23.0512			0.853748
$730$	4.64819	+	3.87240i	0.172037	+	0.143324i
$731$	14.7996	−	8.54454i	0.547382	−	0.316031i
$732$	−1.32682	+	0.243627i	−0.0490406	+	0.00900473i
$733$	−37.4389	+	37.4389i	−1.38284	+	1.38284i	−0.543298	+	0.839540i	$0.682825\pi$
$733$	−37.4389	+	37.4389i	−1.38284	+	1.38284i	−0.839540	+	0.543298i	$0.817175\pi$
$734$	16.8217	+	2.90491i	0.620900	+	0.107222i
$735$	5.78946	+	21.6066i	0.213548	+	0.796970i
$736$	−0.440570	−	2.26409i	−0.0162396	−	0.0834556i
$737$	−3.27252	+	5.66818i	−0.120545	+	0.208790i
$738$	−36.9703	+	3.36607i	−1.36090	+	0.123907i
$739$	−25.6417	−	6.87067i	−0.943245	−	0.252742i	−0.245752	−	0.969333i	$-0.579035\pi$
$739$	−25.6417	−	6.87067i	−0.943245	−	0.252742i	−0.697494	+	0.716591i	$0.745701\pi$
$740$	−11.5193	+	9.80528i	−0.423457	+	0.360449i
$741$	4.67361	+	1.17616i	0.171689	+	0.0432072i
$742$	15.0846	−	32.6494i	0.553771	−	1.19860i
$743$	6.50885	−	24.2914i	0.238787	−	0.891163i	−0.737619	−	0.675217i	$-0.764050\pi$
$743$	6.50885	−	24.2914i	0.238787	−	0.891163i	0.976405	−	0.215946i	$-0.0692835\pi$
$744$	−20.6788	+	21.1216i	−0.758120	+	0.774354i
$745$	−16.2702	−	9.39361i	−0.596094	−	0.344155i
$746$	−16.0612	+	5.91012i	−0.588043	+	0.216385i
$747$	−11.0834	+	2.96979i	−0.405520	+	0.108659i
$748$	−2.07241	+	3.00465i	−0.0757749	+	0.109861i
$749$	−4.87913	−	4.87913i	−0.178280	−	0.178280i
$750$	17.6935	+	25.0800i	0.646075	+	0.915792i
$751$	22.1288	+	38.3282i	0.807492	+	1.39862i	0.914596	+	0.404369i	$0.132509\pi$
$751$	22.1288	+	38.3282i	0.807492	+	1.39862i	−0.107104	+	0.994248i	$0.534158\pi$
$752$	−10.7704	+	23.9755i	−0.392755	+	0.874298i
$753$			31.9054i			1.16270i
$754$	−12.2777	+	4.73182i	−0.447128	+	0.172323i
$755$		−	45.5988i		−	1.65951i
$756$	0.800991	+	1.68653i	0.0291318	+	0.0613386i
$757$	−7.83373	−	13.5684i	−0.284722	−	0.493152i	0.687820	−	0.725881i	$-0.258568\pi$
$757$	−7.83373	−	13.5684i	−0.284722	−	0.493152i	−0.972542	+	0.232729i	$0.925234\pi$
$758$	−17.3748	+	12.2576i	−0.631080	+	0.445216i
$759$	0.693625	+	0.693625i	0.0251770	+	0.0251770i
$760$	−2.03157	−	3.43424i	−0.0736926	−	0.124573i
$761$	40.7618	−	10.9221i	1.47761	−	0.395926i	0.572080	−	0.820198i	$-0.306137\pi$
$761$	40.7618	−	10.9221i	1.47761	−	0.395926i	0.905535	+	0.424273i	$0.139470\pi$
$762$	−0.000429330	−	0.00116674i	−1.55530e−5	−	4.22665e-5i
$763$	16.8088	+	9.70455i	0.608519	+	0.351328i
$764$	−5.15434	+	14.4788i	−0.186477	+	0.523823i
$765$	3.34329	−	12.4773i	0.120877	−	0.451119i
$766$	−9.63804	−	4.45293i	−0.348237	−	0.160891i
$767$	26.6737	−	27.5004i	0.963130	−	0.992982i
$768$	−12.1381	+	36.5280i	−0.437997	+	1.31809i
$769$	4.26443	+	1.14265i	0.153779	+	0.0412050i	0.334887	−	0.942258i	$-0.391302\pi$
$769$	4.26443	+	1.14265i	0.153779	+	0.0412050i	−0.181108	+	0.983463i	$0.557968\pi$
$770$	−0.594861	−	6.53350i	−0.0214373	−	0.235451i
$771$	18.5112	−	32.0624i	0.666666	−	1.15470i
$772$	1.71682	+	0.137992i	0.0617896	+	0.00496645i
$773$	12.1357	+	45.2912i	0.436492	+	1.62901i	0.737470	+	0.675379i	$0.236020\pi$
$773$	12.1357	+	45.2912i	0.436492	+	1.62901i	−0.300978	+	0.953631i	$0.597313\pi$
$774$	−6.28173	+	36.3761i	−0.225792	+	1.30751i
$775$	4.44468	−	4.44468i	0.159658	−	0.159658i
$776$	−25.2993	−	6.49250i	−0.908193	−	0.233067i
$777$	11.3392	−	6.54667i	0.406790	−	0.234860i
$778$	−3.17169	+	3.80709i	−0.113710	+	0.136491i
$779$	5.23197			0.187455
$780$	19.5020	+	39.4959i	0.698285	+	1.41418i
$781$	−7.66056			−0.274116
$782$	−0.673607	+	0.808554i	−0.0240881	+	0.0289138i
$783$	1.14188	−	0.659264i	0.0408074	−	0.0235602i
$784$	−9.25605	+	11.3528i	−0.330573	+	0.405456i
$785$	−19.5661	+	19.5661i	−0.698345	+	0.698345i
$786$	11.2207	−	64.9766i	0.400229	−	2.31764i
$787$	−10.2854	−	38.3856i	−0.366634	−	1.36830i	−0.865192	−	0.501441i	$-0.832803\pi$
$787$	−10.2854	−	38.3856i	−0.366634	−	1.36830i	0.498557	−	0.866857i	$-0.333863\pi$
$788$	−2.01254	+	25.0389i	−0.0716939	+	0.891973i
$789$	−8.91234	+	15.4366i	−0.317288	+	0.549558i
$790$	−3.11701	−	34.2349i	−0.110898	−	1.21802i
$791$	−23.3019	−	6.24373i	−0.828520	−	0.222001i
$792$	−2.12123	−	7.59384i	−0.0753747	−	0.269835i
$793$	−1.01077	+	0.0154253i	−0.0358936	+	0.000547768i
$794$	44.2841	+	20.4599i	1.57158	+	0.726096i
$795$	−22.0065	+	82.1295i	−0.780491	+	2.91283i
$796$	−18.1863	−	6.47419i	−0.644596	−	0.229472i
$797$	15.1636	+	8.75469i	0.537121	+	0.310107i	0.743911	−	0.668278i	$-0.232968\pi$
$797$	15.1636	+	8.75469i	0.537121	+	0.310107i	−0.206790	+	0.978385i	$0.566302\pi$
$798$	1.19266	+	3.24116i	0.0422198	+	0.114736i
$799$	11.5834	−	3.10377i	0.409792	−	0.109803i
$800$	2.66332	−	7.73992i	0.0941626	−	0.273648i
$801$	25.9478	+	25.9478i	0.916821	+	0.916821i
$802$	−35.6897	+	25.1785i	−1.26025	+	0.889083i
$803$	−0.842411	−	1.45910i	−0.0297281	−	0.0514905i
$804$	28.4462	−	13.5101i	1.00322	−	0.476464i
$805$		−	1.89153i		−	0.0666677i
$806$	−17.9026	+	13.0436i	−0.630592	+	0.459442i
$807$		−	43.4574i		−	1.52977i
$808$	−0.515537	−	48.6651i	−0.0181365	−	1.71203i
$809$	−10.2085	−	17.6816i	−0.358912	−	0.621653i	0.628868	−	0.777512i	$-0.283519\pi$
$809$	−10.2085	−	17.6816i	−0.358912	−	0.621653i	−0.987779	+	0.155859i	$0.950185\pi$
$810$	−19.8554	−	28.1444i	−0.697647	−	0.988893i
$811$	−7.19894	−	7.19894i	−0.252789	−	0.252789i	0.569324	−	0.822113i	$-0.307205\pi$
$811$	−7.19894	−	7.19894i	−0.252789	−	0.252789i	−0.822113	+	0.569324i	$0.807205\pi$
$812$	−7.76200	−	5.35372i	−0.272393	−	0.187879i
$813$	40.0690	−	10.7365i	1.40528	−	0.376544i
$814$	3.95362	−	1.45483i	0.138574	−	0.0509918i
$815$	−40.1165	−	23.1612i	−1.40522	−	0.811303i
$816$	16.4165	−	6.23909i	0.574694	−	0.218412i
$817$	1.34652	−	5.02528i	0.0471087	−	0.175812i
$818$	6.49028	−	14.0477i	0.226927	−	0.491168i
$819$	−5.02286	−	17.6629i	−0.175513	−	0.617192i
$820$	30.9959	+	36.4141i	1.08242	+	1.27163i
$821$	−46.8394	−	12.5506i	−1.63471	−	0.438018i	−0.679431	−	0.733740i	$-0.737773\pi$
$821$	−46.8394	−	12.5506i	−1.63471	−	0.438018i	−0.955274	+	0.295722i	$0.904440\pi$
$822$	−53.5280	+	4.87361i	−1.86700	+	0.169987i
$823$	−19.8989	+	34.4659i	−0.693633	+	1.20141i	0.277007	+	0.960868i	$0.410658\pi$
$823$	−19.8989	+	34.4659i	−0.693633	+	1.20141i	−0.970639	+	0.240539i	$0.922676\pi$
$824$	1.47667	−	2.62142i	0.0514424	−	0.0913214i
$825$	0.900964	+	3.36244i	0.0313675	+	0.117065i
$826$	27.0542	+	4.67195i	0.941336	+	0.162558i
$827$	−34.3513	+	34.3513i	−1.19451	+	1.19451i	−0.218724	+	0.975787i	$0.570189\pi$
$827$	−34.3513	+	34.3513i	−1.19451	+	1.19451i	−0.975787	+	0.218724i	$0.929811\pi$
$828$	−0.410550	−	2.23589i	−0.0142676	−	0.0777027i
$829$	−1.59443	+	0.920543i	−0.0553767	+	0.0319718i	−0.527433	−	0.849597i	$-0.676845\pi$
$829$	−1.59443	+	0.920543i	−0.0553767	+	0.0319718i	0.472056	+	0.881569i	$0.343512\pi$
$830$	11.3560	+	9.46070i	0.394173	+	0.328386i
$831$	59.1422			2.05162
$832$	−13.5024	+	25.4889i	−0.468112	+	0.883669i
$833$	6.68317			0.231558
$834$	35.3726	+	29.4689i	1.22485	+	1.02042i
$835$	2.74690	−	1.58592i	0.0950604	−	0.0548832i
$836$	0.200683	+	1.09294i	0.00694076	+	0.0378000i
$837$	1.56952	−	1.56952i	0.0542505	−	0.0542505i
$838$	−12.8853	−	2.22515i	−0.445117	−	0.0768665i
$839$	−7.08127	−	26.4277i	−0.244473	−	0.912384i	−0.973648	−	0.228057i	$-0.926763\pi$
$839$	−7.08127	−	26.4277i	−0.244473	−	0.912384i	0.729175	−	0.684327i	$-0.239904\pi$
$840$	−15.4925	+	27.5025i	−0.534541	+	0.948927i
$841$	11.1705	−	19.3479i	0.385191	−	0.667170i
$842$	−10.8135	+	0.984544i	−0.372657	+	0.0339296i
$843$	−21.5992	−	5.78748i	−0.743915	−	0.199331i
$844$	−33.2272	−	39.0355i	−1.14373	−	1.34366i
$845$	9.51208	+	31.6079i	0.327225	+	1.08734i
$846$	−10.8647	+	23.5158i	−0.373535	+	0.808489i
$847$	−0.472870	+	1.76477i	−0.0162480	+	0.0606384i
$848$	−52.0465	+	19.7802i	−1.78729	+	0.679256i
$849$	31.6728	+	18.2863i	1.08701	+	0.627585i
$850$	−3.50485	+	1.28969i	−0.120215	+	0.0442361i
$851$	1.17325	−	0.314371i	0.0402184	−	0.0107765i
$852$	30.3414	+	20.9275i	1.03948	+	0.716965i
$853$	13.4827	+	13.4827i	0.461639	+	0.461639i	0.899192	−	0.437554i	$-0.144155\pi$
$853$	13.4827	+	13.4827i	0.461639	+	0.461639i	−0.437554	+	0.899192i	$0.644155\pi$
$854$	−0.417605	−	0.591942i	−0.0142902	−	0.0202558i
$855$	−1.96628	−	3.40570i	−0.0672454	−	0.116472i
$856$	0.113155	+	10.6815i	0.00386757	+	0.365087i
$857$			0.196306i			0.00670569i	0.999994	+	0.00335284i	$0.00106724\pi$
$857$			0.196306i			0.00670569i	−0.999994	+	0.00335284i	$0.998933\pi$
$858$	−1.29856	−	12.1980i	−0.0443321	−	0.416433i
$859$			15.5710i			0.531274i	0.964073	+	0.265637i	$0.0855823\pi$
$859$			15.5710i			0.531274i	−0.964073	+	0.265637i	$0.914418\pi$
$860$	42.9527	−	20.3997i	1.46468	−	0.695624i
$861$	−20.6949	−	35.8447i	−0.705282	−	1.22158i
$862$	−31.5723	+	22.2737i	−1.07536	+	0.758646i
$863$	21.6943	+	21.6943i	0.738483	+	0.738483i	0.972284	−	0.233801i	$-0.0751165\pi$
$863$	21.6943	+	21.6943i	0.738483	+	0.738483i	−0.233801	+	0.972284i	$0.575116\pi$
$864$	0.940479	−	2.73314i	0.0319957	−	0.0929834i
$865$	−5.38580	+	1.44312i	−0.183123	+	0.0490676i
$866$	15.7312	+	42.7508i	0.534568	+	1.45273i
$867$	28.4791	+	16.4424i	0.967201	+	0.558414i
$868$	−14.9541	−	5.32355i	−0.507575	−	0.180693i
$869$	−2.47779	+	9.24724i	−0.0840533	+	0.313691i
$870$	20.2364	+	9.34953i	0.686077	+	0.316979i
$871$	22.6986	−	6.45485i	0.769111	−	0.218714i
$872$	−8.08382	−	28.9394i	−0.273753	−	0.980013i
$873$	−24.8651	−	6.66257i	−0.841554	−	0.225494i
$874$	0.0290501	+	0.319064i	0.000982635	+	0.0107925i
$875$	−8.24122	+	14.2742i	−0.278604	+	0.482556i
$876$	−0.649480	+	8.08045i	−0.0219439	+	0.273013i
$877$	10.1654	+	37.9376i	0.343260	+	1.28106i	0.894632	+	0.446803i	$0.147438\pi$
$877$	10.1654	+	37.9376i	0.343260	+	1.28106i	−0.551373	+	0.834259i	$0.685896\pi$
$878$	−3.31947	+	19.2223i	−0.112027	+	0.648722i
$879$	−17.3934	+	17.3934i	−0.586664	+	0.586664i
$880$	−6.41784	+	7.87165i	−0.216345	+	0.265353i
$881$	6.39306	−	3.69104i	0.215388	−	0.124354i	−0.388425	−	0.921480i	$-0.626981\pi$
$881$	6.39306	−	3.69104i	0.215388	−	0.124354i	0.603813	+	0.797126i	$0.293647\pi$
$882$	−9.24048	+	11.0917i	−0.311143	+	0.373476i
$883$	−46.1983			−1.55470			−0.777348	−	0.629070i	$-0.783436\pi$
$883$	−46.1983			−1.55470			−0.777348	+	0.629070i	$0.783436\pi$
$884$	12.9062	−	2.57399i	0.434084	−	0.0865727i
$885$	−64.9057			−2.18178
$886$	11.7326	−	14.0830i	0.394164	−	0.473129i
$887$	37.5811	−	21.6974i	1.26185	−	0.728529i	0.288417	−	0.957505i	$-0.406871\pi$
$887$	37.5811	−	21.6974i	1.26185	−	0.728529i	0.973432	+	0.228976i	$0.0735377\pi$
$888$	−19.6336	−	5.03852i	−0.658861	−	0.169082i
$889$	0.000472079	0	0.000472079i	1.58330e−5	0	1.58330e-5i
$890$	8.04377	−	46.5797i	0.269628	−	1.56135i
$891$	2.48261	+	9.26522i	0.0831705	+	0.310397i
$892$	17.2814	+	1.38903i	0.578625	+	0.0465080i
$893$	1.82541	−	3.16170i	0.0610850	−	0.105802i
$894$	−2.28258	−	25.0701i	−0.0763409	−	0.838470i
$895$	−40.1307	−	10.7530i	−1.34142	−	0.359433i
$896$	−20.5410	+	2.30992i	−0.686227	+	0.0771691i
$897$	−0.0539685	−	3.53639i	−0.00180196	−	0.118077i
$898$	41.4169	+	19.1353i	1.38210	+	0.638552i
$899$	−2.90130	+	10.8278i	−0.0967639	+	0.361128i
$900$	2.70554	−	7.59999i	0.0901848	−	0.253333i
$901$	22.0002	+	12.7018i	0.732933	+	0.423159i
$902$	−4.59892	−	12.4980i	−0.153127	−	0.416136i
$903$	−39.7548	+	10.6523i	−1.32296	+	0.354485i
$904$	19.0147	+	32.1432i	0.632420	+	1.06907i
$905$	−1.68921	−	1.68921i	−0.0561513	−	0.0561513i
$906$	49.9260	−	35.2219i	1.65868	−	1.17017i
$907$	−14.5982	−	25.2848i	−0.484725	−	0.839569i	0.515121	−	0.857118i	$-0.327747\pi$
$907$	−14.5982	−	25.2848i	−0.484725	−	0.839569i	−0.999846	+	0.0175488i	$0.994414\pi$
$908$	1.16311	+	2.44899i	0.0385991	+	0.0812726i
$909$		−	47.9655i		−	1.59091i
$910$	−14.8615	+	18.4027i	−0.492655	+	0.610045i
$911$		−	45.7660i		−	1.51630i	−0.652083	−	0.758148i	$-0.726105\pi$
$911$		−	45.7660i		−	1.51630i	0.652083	−	0.758148i	$-0.273895\pi$
$912$	2.19089	−	4.87707i	0.0725478	−	0.161496i
$913$	−2.05810	−	3.56474i	−0.0681133	−	0.117976i
$914$	3.72192	+	5.27570i	0.123110	+	0.174505i
$915$	1.21100	+	1.21100i	0.0400345	+	0.0400345i
$916$	−6.36158	+	9.22323i	−0.210192	+	0.304744i
$917$	34.2029	−	9.16463i	1.12948	−	0.302643i
$918$	−1.23764	+	0.455420i	−0.0408482	+	0.0150311i
$919$	44.2505	+	25.5480i	1.45969	+	0.842751i	0.998996	−	0.0448082i	$-0.0142677\pi$
$919$	44.2505	+	25.5480i	1.45969	+	0.842751i	0.460693	+	0.887560i	$0.347601\pi$
$920$	−2.04856	+	2.09243i	−0.0675390	+	0.0689853i
$921$	−14.0342	+	52.3764i	−0.462443	+	1.72586i
$922$	4.07088	−	8.81113i	0.134067	−	0.290179i
$923$	19.8264	+	19.2304i	0.652594	+	0.632975i
$924$	6.69402	−	5.69799i	0.220217	−	0.187450i
$925$	4.16352	+	1.11561i	0.136896	+	0.0366811i
$926$	53.9861	−	4.91532i	1.77409	−	0.161527i
$927$	1.48265	−	2.56803i	0.0486966	−	0.0843450i
$928$	2.78822	+	14.3287i	0.0915279	+	0.470363i
$929$	6.51293	+	24.3066i	0.213682	+	0.797474i	0.986626	+	0.162999i	$0.0521168\pi$
$929$	6.51293	+	24.3066i	0.213682	+	0.797474i	−0.772944	+	0.634475i	$0.781217\pi$
$930$	36.9791	+	6.38586i	1.21259	+	0.209401i
$931$	1.43868	−	1.43868i	0.0471509	−	0.0471509i
$932$	54.8745	−	10.0759i	1.79747	−	0.330048i
$933$	−40.8730	+	23.5980i	−1.33812	+	0.772565i
$934$	−41.4057	−	34.4951i	−1.35484	−	1.12871i
$935$	4.63389			0.151545
$936$	−13.5729	+	24.9787i	−0.443644	+	0.816454i
$937$	−1.29471			−0.0422963			−0.0211482	−	0.999776i	$-0.506732\pi$
$937$	−1.29471			−0.0422963			−0.0211482	+	0.999776i	$0.506732\pi$
$938$	12.9930	+	10.8245i	0.424236	+	0.353431i
$939$	−30.8712	+	17.8235i	−1.00744	+	0.581648i
$940$	32.8195	−	6.02625i	1.07046	−	0.196555i
$941$	−18.0672	+	18.0672i	−0.588975	+	0.588975i	−0.937354	−	0.348379i	$-0.886732\pi$
$941$	−18.0672	+	18.0672i	−0.588975	+	0.588975i	0.348379	+	0.937354i	$0.386732\pi$
$942$	−36.5364	−	6.30941i	−1.19042	−	0.205572i
$943$	−0.993769	−	3.70880i	−0.0323616	−	0.120775i
$944$	−24.8678	−	34.4683i	−0.809377	−	1.12185i
$945$	1.18517	−	2.05277i	0.0385535	−	0.0667767i
$946$	−13.1878	+	1.20072i	−0.428773	+	0.0390389i
$947$	40.4573	+	10.8405i	1.31469	+	0.352269i	0.846984	−	0.531618i	$-0.178416\pi$
$947$	40.4573	+	10.8405i	1.31469	+	0.352269i	0.467701	+	0.883887i	$0.345082\pi$
$948$	35.0760	−	29.8569i	1.13921	−	0.969706i
$949$	−1.48253	+	5.89103i	−0.0481251	+	0.191231i
$950$	−0.476855	+	1.03212i	−0.0154712	+	0.0334864i
$951$	20.3645	−	76.0014i	0.660365	−	2.46452i
$952$	6.73900	+	6.59772i	0.218412	+	0.213833i
$953$	−27.6559	−	15.9671i	−0.895862	−	0.517226i	−0.0200068	−	0.999800i	$-0.506369\pi$
$953$	−27.6559	−	15.9671i	−0.895862	−	0.517226i	−0.875855	+	0.482574i	$0.839702\pi$
$954$	−51.4990	+	18.9503i	−1.66734	+	0.613539i
$955$	18.8466	−	5.04994i	0.609862	−	0.163412i
$956$	−3.55525	+	5.15451i	−0.114985	+	0.166709i
$957$	−4.38972	−	4.38972i	−0.141900	−	0.141900i
$958$	16.2069	+	22.9728i	0.523622	+	0.742218i
$959$	−14.4319	−	24.9968i	−0.466031	−	0.807189i
$960$	46.9236	−	13.6449i	1.51445	−	0.440387i
$961$		−	12.1293i		−	0.391266i
$962$	−13.8845	−	6.15954i	−0.447655	−	0.198592i
$963$			10.5280i			0.339259i
$964$	−16.3079	−	34.3373i	−0.525243	−	1.10593i
$965$	−1.09330	−	1.89365i	−0.0351946	−	0.0609589i
$966$	2.07103	−	1.46108i	0.0666343	−	0.0470094i
$967$	17.5853	+	17.5853i	0.565505	+	0.565505i	0.930866	−	0.365361i	$-0.119054\pi$
$967$	17.5853	+	17.5853i	0.565505	+	0.565505i	−0.365361	+	0.930866i	$0.619054\pi$
$968$	2.43437	−	1.44008i	0.0782437	−	0.0462860i
$969$	−2.35628	+	0.631364i	−0.0756947	+	0.0202823i
$970$	11.4511	+	31.1194i	0.367674	+	0.999184i
$971$	−52.5851	−	30.3600i	−1.68754	−	0.974300i	−0.956396	−	0.292074i	$-0.905655\pi$
$971$	−52.5851	−	30.3600i	−1.68754	−	0.974300i	−0.731142	−	0.682226i	$-0.761012\pi$
$972$	14.4501	−	40.5910i	0.463487	−	1.30196i
$973$	−6.39893	+	23.8811i	−0.205140	+	0.765594i
$974$	34.7106	+	16.0369i	1.11220	+	0.513854i
$975$	6.10897	−	10.9641i	0.195644	−	0.351132i
$976$	−0.179125	+	1.10708i	−0.00573365	+	0.0354369i
$977$	3.41457	+	0.914930i	0.109242	+	0.0292712i	0.313026	−	0.949745i	$-0.398657\pi$
$977$	3.41457	+	0.914930i	0.109242	+	0.0292712i	−0.203784	+	0.979016i	$0.565324\pi$
$978$	−5.62802	−	61.8138i	−0.179964	−	1.97659i
$979$	−6.58194	+	11.4003i	−0.210360	+	0.364354i
$980$	18.5363	+	1.48989i	0.592122	+	0.0475928i
$981$	−7.66458	−	28.6046i	−0.244711	−	0.913274i
$982$	6.74567	−	39.0627i	0.215263	−	1.24654i
$983$	−24.9668	+	24.9668i	−0.796317	+	0.796317i	−0.982513	−	0.186196i	$-0.940384\pi$
$983$	−24.9668	+	24.9668i	−0.796317	+	0.796317i	0.186196	+	0.982513i	$0.440384\pi$
$984$	−15.9275	+	62.0646i	−0.507749	+	1.97855i
$985$	27.6180	−	15.9452i	0.879982	−	0.508058i
$986$	4.26304	−	5.11707i	0.135763	−	0.162961i
$987$	−28.8815			−0.919308
$988$	2.22422	−	3.33243i	0.0707619	−	0.106019i
$989$	−3.81804			−0.121407
$990$	−6.40705	+	7.69061i	−0.203629	+	0.244424i
$991$	−8.72497	+	5.03736i	−0.277158	+	0.160017i	−0.632136	−	0.774857i	$-0.717822\pi$
$991$	−8.72497	+	5.03736i	−0.277158	+	0.160017i	0.354978	+	0.934875i	$0.384488\pi$
$992$	10.7768	+	22.0845i	0.342165	+	0.701183i
$993$	8.08049	−	8.08049i	0.256427	−	0.256427i
$994$	−3.36824	+	19.5047i	−0.106834	+	0.618652i
$995$	6.34306	+	23.6726i	0.201088	+	0.750472i
$996$	−1.58675	+	19.7414i	−0.0502781	+	0.625531i
$997$	0.625872	−	1.08404i	0.0198216	−	0.0343319i	−0.855944	−	0.517068i	$-0.827024\pi$
$997$	0.625872	−	1.08404i	0.0198216	−	0.0343319i	0.875766	+	0.482736i	$0.160357\pi$
$998$	2.18497	+	23.9980i	0.0691640	+	0.759645i
$999$	1.47023	+	0.393948i	0.0465161	+	0.0124640i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	572.2.bf.a.67.15	yes	280
4.3	odd	2	inner	572.2.bf.a.67.5	✓	280
13.7	odd	12	inner	572.2.bf.a.111.5	yes	280
52.7	even	12	inner	572.2.bf.a.111.15	yes	280

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
572.2.bf.a.67.5	✓	280	4.3	odd	2	inner
572.2.bf.a.67.15	yes	280	1.1	even	1	trivial
572.2.bf.a.111.5	yes	280	13.7	odd	12	inner
572.2.bf.a.111.15	yes	280	52.7	even	12	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:	\( N \)	\(=\)	\( 572 = 2^{2} \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	572.bf (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.08655 - 0.905208i) q^{2} +(-2.08344 + 1.20287i) q^{3} +(0.361197 + 1.96711i) q^{4} +(1.79541 - 1.79541i) q^{5} +(3.35261 + 0.578958i) q^{6} +(0.472870 + 1.76477i) q^{7} +(1.38819 - 2.46433i) q^{8} +(1.39380 - 2.41414i) q^{9} +O(q^{10})\)	\(q+(-1.08655 - 0.905208i) q^{2} +(-2.08344 + 1.20287i) q^{3} +(0.361197 + 1.96711i) q^{4} +(1.79541 - 1.79541i) q^{5} +(3.35261 + 0.578958i) q^{6} +(0.472870 + 1.76477i) q^{7} +(1.38819 - 2.46433i) q^{8} +(1.39380 - 2.41414i) q^{9} +(-3.57602 + 0.325589i) q^{10} +(0.965926 + 0.258819i) q^{11} +(-3.11872 - 3.66388i) q^{12} +(-1.85021 - 3.09463i) q^{13} +(1.08369 - 2.34557i) q^{14} +(-1.58097 + 5.90026i) q^{15} +(-3.73907 + 1.42103i) q^{16} +(1.58052 + 0.912511i) q^{17} +(-3.69974 + 1.36141i) q^{18} +(0.536673 - 0.143801i) q^{19} +(4.18027 + 2.88327i) q^{20} +(-3.10799 - 3.10799i) q^{21} +(-0.815245 - 1.15558i) q^{22} +(-0.203873 - 0.353119i) q^{23} +(0.0720796 + 6.80409i) q^{24} -1.44698i q^{25} +(-0.790926 + 5.03730i) q^{26} -0.510960i q^{27} +(-3.30071 + 1.56762i) q^{28} +(1.29025 + 2.23477i) q^{29} +(7.05877 - 4.97984i) q^{30} +(3.07171 + 3.07171i) q^{31} +(5.34903 + 1.84061i) q^{32} +(-2.32377 + 0.622653i) q^{33} +(-0.891302 - 2.42219i) q^{34} +(4.01748 + 2.31949i) q^{35} +(5.25233 + 1.86979i) q^{36} +(-0.770995 + 2.87739i) q^{37} +(-0.713294 - 0.329553i) q^{38} +(7.57724 + 4.22189i) q^{39} +(-1.93212 - 6.91684i) q^{40} +(9.09585 + 2.43722i) q^{41} +(0.563621 + 6.19038i) q^{42} +(4.68188 - 8.10926i) q^{43} +(-0.160237 + 1.99357i) q^{44} +(-1.83192 - 6.83681i) q^{45} +(-0.0981267 + 0.568230i) q^{46} +(4.64633 - 4.64633i) q^{47} +(6.08080 - 7.45826i) q^{48} +(3.17136 - 1.83098i) q^{49} +(-1.30981 + 1.57222i) q^{50} -4.39054 q^{51} +(5.41919 - 4.75735i) q^{52} +13.9196 q^{53} +(-0.462525 + 0.555185i) q^{54} +(2.19892 - 1.26954i) q^{55} +(5.00542 + 1.28453i) q^{56} +(-0.945149 + 0.945149i) q^{57} +(0.621012 - 3.59614i) q^{58} +(2.75012 + 10.2636i) q^{59} +(-12.1775 - 0.978791i) q^{60} +(0.140185 - 0.242808i) q^{61} +(-0.557040 - 6.11810i) q^{62} +(4.91950 + 1.31818i) q^{63} +(-4.14587 - 6.84191i) q^{64} +(-8.87800 - 2.23423i) q^{65} +(3.08853 + 1.42695i) q^{66} +(-1.69398 + 6.32203i) q^{67} +(-1.22413 + 3.43865i) q^{68} +(0.849513 + 0.490467i) q^{69} +(-2.26559 - 6.15691i) q^{70} +(-7.39953 + 1.98270i) q^{71} +(-4.01438 - 6.78607i) q^{72} +(-1.19135 - 1.19135i) q^{73} +(3.44237 - 2.42853i) q^{74} +(1.74053 + 3.01468i) q^{75} +(0.476718 + 1.00376i) q^{76} +1.82703i q^{77} +(-4.41139 - 11.4463i) q^{78} +9.57345i q^{79} +(-4.16183 + 9.26449i) q^{80} +(4.79603 + 8.30697i) q^{81} +(-7.67693 - 10.8818i) q^{82} +(-2.91060 - 2.91060i) q^{83} +(4.99118 - 7.23637i) q^{84} +(4.47600 - 1.19934i) q^{85} +(-12.4277 + 4.57307i) q^{86} +(-5.37629 - 3.10400i) q^{87} +(1.97870 - 2.02107i) q^{88} +(-3.40706 + 12.7153i) q^{89} +(-4.19826 + 9.08683i) q^{90} +(4.58641 - 4.72856i) q^{91} +(0.620986 - 0.528587i) q^{92} +(-10.0946 - 2.70483i) q^{93} +(-9.25438 + 0.842591i) q^{94} +(0.705365 - 1.22173i) q^{95} +(-13.3584 + 2.59941i) q^{96} +(-2.39007 - 8.91985i) q^{97} +(-5.10327 - 0.881275i) q^{98} +(1.97114 - 1.97114i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 280 q - 4 q^{5} + 12 q^{6} - 12 q^{8} + 140 q^{9}+O(q^{10}) \) 280 * q - 4 * q^5 + 12 * q^6 - 12 * q^8 + 140 * q^9	\( 280 q - 4 q^{5} + 12 q^{6} - 12 q^{8} + 140 q^{9} - 16 q^{14} - 24 q^{18} - 16 q^{20} + 16 q^{21} - 28 q^{26} - 40 q^{28} - 20 q^{32} - 16 q^{34} - 36 q^{36} - 36 q^{37} + 80 q^{40} - 40 q^{41} + 20 q^{42} + 8 q^{44} - 40 q^{45} + 60 q^{46} - 20 q^{48} - 144 q^{49} + 20 q^{50} + 108 q^{52} + 8 q^{53} + 20 q^{54} + 108 q^{56} - 64 q^{57} + 60 q^{58} + 108 q^{60} - 20 q^{61} - 36 q^{62} - 40 q^{65} - 40 q^{66} - 76 q^{68} - 44 q^{70} - 20 q^{72} - 100 q^{73} - 32 q^{74} + 32 q^{76} - 140 q^{78} - 156 q^{80} - 140 q^{81} - 260 q^{84} - 12 q^{85} + 56 q^{86} - 72 q^{88} + 60 q^{89} + 80 q^{92} + 80 q^{93} + 32 q^{94} + 80 q^{96} + 44 q^{97} + 16 q^{98}+O(q^{100}) \) 280 * q - 4 * q^5 + 12 * q^6 - 12 * q^8 + 140 * q^9 - 16 * q^14 - 24 * q^18 - 16 * q^20 + 16 * q^21 - 28 * q^26 - 40 * q^28 - 20 * q^32 - 16 * q^34 - 36 * q^36 - 36 * q^37 + 80 * q^40 - 40 * q^41 + 20 * q^42 + 8 * q^44 - 40 * q^45 + 60 * q^46 - 20 * q^48 - 144 * q^49 + 20 * q^50 + 108 * q^52 + 8 * q^53 + 20 * q^54 + 108 * q^56 - 64 * q^57 + 60 * q^58 + 108 * q^60 - 20 * q^61 - 36 * q^62 - 40 * q^65 - 40 * q^66 - 76 * q^68 - 44 * q^70 - 20 * q^72 - 100 * q^73 - 32 * q^74 + 32 * q^76 - 140 * q^78 - 156 * q^80 - 140 * q^81 - 260 * q^84 - 12 * q^85 + 56 * q^86 - 72 * q^88 + 60 * q^89 + 80 * q^92 + 80 * q^93 + 32 * q^94 + 80 * q^96 + 44 * q^97 + 16 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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