LMFDB - Embedded newform 770.2.bi.a.27.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(27,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([5, 10, 8]))

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

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

chi := DirichletCharacter("770.27");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.bi (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:	$6.14848095564$
Analytic rank:	$0$
Dimension:	$384$
Relative dimension:	$48$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			27.11
Character	$\chi$	$=$	770.27
Dual form			770.2.bi.a.713.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.453990 + 0.891007i) q^{2} +(-0.0293280 - 0.185170i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.0774713 + 2.23473i) q^{5} +(0.178302 + 0.0579339i) q^{6} +(2.16357 + 1.52281i) q^{7} +(0.987688 - 0.156434i) q^{8} +(2.81974 - 0.916190i) q^{9} +O(q^{10})$	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.0293280 - 0.185170i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.0774713 + 2.23473i) q^{5} +(0.178302 + 0.0579339i) q^{6} +(2.16357 + 1.52281i) q^{7} +(0.987688 - 0.156434i) q^{8} +(2.81974 - 0.916190i) q^{9} +(-1.95598 - 1.08357i) q^{10} +(-1.92171 - 2.70315i) q^{11} +(-0.132567 + 0.132567i) q^{12} +(2.13426 - 4.18873i) q^{13} +(-2.33908 + 1.23641i) q^{14} +(0.416076 - 0.0511948i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(2.91134 + 5.71382i) q^{17} +(-0.463805 + 2.92835i) q^{18} +(2.85378 + 2.07339i) q^{19} +(1.85347 - 1.25086i) q^{20} +(0.218526 - 0.445289i) q^{21} +(3.28096 - 0.485046i) q^{22} +(1.16518 - 1.16518i) q^{23} +(-0.0579339 - 0.178302i) q^{24} +(-4.98800 - 0.346254i) q^{25} +(2.76325 + 3.80329i) q^{26} +(-0.507688 - 0.996394i) q^{27} +(-0.0397324 - 2.64545i) q^{28} +(-1.69194 - 2.32876i) q^{29} +(-0.143280 + 0.393969i) q^{30} +(1.35651 - 0.440757i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-0.444183 + 0.435121i) q^{33} -6.41277 q^{34} +(-3.57069 + 4.71701i) q^{35} +(-2.39862 - 1.74270i) q^{36} +(3.32202 + 0.526156i) q^{37} +(-3.14300 + 1.60144i) q^{38} +(-0.838221 - 0.272354i) q^{39} +(0.273071 + 2.21933i) q^{40} +(-3.91107 + 5.38313i) q^{41} +(0.297547 + 0.396865i) q^{42} +(-0.198503 + 0.198503i) q^{43} +(-1.05735 + 3.14357i) q^{44} +(1.82898 + 6.37233i) q^{45} +(0.509203 + 1.56717i) q^{46} +(-2.57029 + 0.407093i) q^{47} +(0.185170 + 0.0293280i) q^{48} +(2.36207 + 6.58943i) q^{49} +(2.57302 - 4.28714i) q^{50} +(0.972645 - 0.706668i) q^{51} +(-4.64324 + 0.735417i) q^{52} +(10.8879 + 5.54767i) q^{53} +1.11828 q^{54} +(6.18969 - 4.08507i) q^{55} +(2.37515 + 1.16561i) q^{56} +(0.300235 - 0.589244i) q^{57} +(2.84306 - 0.450297i) q^{58} +(-5.60364 + 4.07128i) q^{59} +(-0.285981 - 0.306521i) q^{60} +(9.17550 + 2.98130i) q^{61} +(-0.223126 + 1.40876i) q^{62} +(7.49590 + 2.31170i) q^{63} +(0.951057 - 0.309017i) q^{64} +(9.19532 + 5.09400i) q^{65} +(-0.186040 - 0.593311i) q^{66} +(-2.03972 - 2.03972i) q^{67} +(2.91134 - 5.71382i) q^{68} +(-0.249929 - 0.181584i) q^{69} +(-2.58183 - 5.32298i) q^{70} +(-4.04660 + 12.4541i) q^{71} +(2.64170 - 1.34601i) q^{72} +(-1.49738 - 0.237162i) q^{73} +(-1.97697 + 2.72107i) q^{74} +(0.0821723 + 0.933782i) q^{75} -3.52747i q^{76} +(-0.0413451 - 8.77487i) q^{77} +(0.623214 - 0.623214i) q^{78} +(-6.26511 + 2.03566i) q^{79} +(-2.10141 - 0.764248i) q^{80} +(7.02623 - 5.10486i) q^{81} +(-3.02081 - 5.92868i) q^{82} +(3.62667 - 1.84788i) q^{83} +(-0.488693 + 0.0849432i) q^{84} +(-12.9944 + 6.06339i) q^{85} +(-0.0867488 - 0.266985i) q^{86} +(-0.381595 + 0.381595i) q^{87} +(-2.32091 - 2.36925i) q^{88} +0.443689 q^{89} +(-6.50813 - 1.26334i) q^{90} +(10.9963 - 5.81252i) q^{91} +(-1.62753 - 0.257775i) q^{92} +(-0.121399 - 0.238259i) q^{93} +(0.804163 - 2.47496i) q^{94} +(-4.85455 + 6.21679i) q^{95} +(-0.110197 + 0.151673i) q^{96} +(-7.79724 - 3.97289i) q^{97} +(-6.94359 - 0.886915i) q^{98} +(-7.89532 - 5.86155i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 384 q - 4 q^{7}+O(q^{10}) $ 384 * q - 4 * q^7	$ 384 q - 4 q^{7} + 24 q^{15} + 96 q^{16} + 16 q^{22} + 16 q^{23} - 40 q^{25} + 4 q^{28} + 16 q^{30} - 32 q^{35} + 80 q^{36} - 64 q^{37} + 44 q^{42} - 80 q^{43} - 16 q^{46} - 64 q^{50} - 136 q^{51} + 80 q^{53} + 8 q^{56} - 112 q^{57} - 96 q^{58} + 68 q^{63} - 272 q^{65} + 160 q^{67} - 8 q^{70} + 16 q^{71} + 96 q^{77} + 24 q^{81} - 80 q^{85} - 16 q^{88} - 84 q^{91} + 16 q^{92} + 88 q^{93} - 184 q^{95} - 32 q^{98}+O(q^{100}) $ 384 * q - 4 * q^7 + 24 * q^15 + 96 * q^16 + 16 * q^22 + 16 * q^23 - 40 * q^25 + 4 * q^28 + 16 * q^30 - 32 * q^35 + 80 * q^36 - 64 * q^37 + 44 * q^42 - 80 * q^43 - 16 * q^46 - 64 * q^50 - 136 * q^51 + 80 * q^53 + 8 * q^56 - 112 * q^57 - 96 * q^58 + 68 * q^63 - 272 * q^65 + 160 * q^67 - 8 * q^70 + 16 * q^71 + 96 * q^77 + 24 * q^81 - 80 * q^85 - 16 * q^88 - 84 * q^91 + 16 * q^92 + 88 * q^93 - 184 * q^95 - 32 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{2}{5}\right)$	$e\left(\frac{1}{4}\right)$	$-1$

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 $

$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$2$	−0.453990	+	0.891007i	−0.321020	+	0.630037i
$3$	−0.0293280	−	0.185170i	−0.0169326	−	0.106908i	0.977775	−	0.209659i	$-0.0672354\pi$
$3$	−0.0293280	−	0.185170i	−0.0169326	−	0.106908i	−0.994707	+	0.102751i	$0.967235\pi$
$4$	−0.587785	−	0.809017i	−0.293893	−	0.404508i
$5$	−0.0774713	+	2.23473i	−0.0346462	+	0.999400i
$5$	−0.0774713	+	2.23473i	−0.0346462	+	0.999400i
$6$	0.178302	+	0.0579339i	0.0727916	+	0.0236514i
$7$	2.16357	+	1.52281i	0.817753	+	0.575570i
$7$	2.16357	+	1.52281i	0.817753	+	0.575570i
$8$	0.987688	−	0.156434i	0.349201	−	0.0553079i
$9$	2.81974	−	0.916190i	0.939914	−	0.305397i
$10$	−1.95598	−	1.08357i	−0.618536	−	0.342655i
$11$	−1.92171	−	2.70315i	−0.579416	−	0.815032i
$11$	−1.92171	−	2.70315i	−0.579416	−	0.815032i
$12$	−0.132567	+	0.132567i	−0.0382688	+	0.0382688i
$13$	2.13426	−	4.18873i	0.591938	−	1.16174i	−0.379664	−	0.925124i	$-0.623960\pi$
$13$	2.13426	−	4.18873i	0.591938	−	1.16174i	0.971602	−	0.236620i	$-0.0760396\pi$
$14$	−2.33908	+	1.23641i	−0.625145	+	0.330445i
$15$	0.416076	−	0.0511948i	0.107430	−	0.0132184i
$16$	−0.309017	+	0.951057i	−0.0772542	+	0.237764i
$17$	2.91134	+	5.71382i	0.706103	+	1.38581i	0.913211	+	0.407488i	$0.133595\pi$
$17$	2.91134	+	5.71382i	0.706103	+	1.38581i	−0.207107	+	0.978318i	$0.566405\pi$
$18$	−0.463805	+	2.92835i	−0.109320	+	0.690219i
$19$	2.85378	+	2.07339i	0.654703	+	0.475669i	0.864870	−	0.501996i	$-0.167401\pi$
$19$	2.85378	+	2.07339i	0.654703	+	0.475669i	−0.210167	+	0.977665i	$0.567401\pi$
$20$	1.85347	−	1.25086i	0.414448	−	0.279701i
$21$	0.218526	−	0.445289i	0.0476863	−	0.0971701i
$22$	3.28096	−	0.485046i	0.699504	−	0.103412i
$23$	1.16518	−	1.16518i	0.242957	−	0.242957i	−0.575115	−	0.818072i	$-0.695043\pi$
$23$	1.16518	−	1.16518i	0.242957	−	0.242957i	0.818072	+	0.575115i	$0.195043\pi$
$24$	−0.0579339	−	0.178302i	−0.0118257	−	0.0363958i
$25$	−4.98800	−	0.346254i	−0.997599	−	0.0692508i
$26$	2.76325	+	3.80329i	0.541918	+	0.745886i
$27$	−0.507688	−	0.996394i	−0.0977046	−	0.191756i
$28$	−0.0397324	−	2.64545i	−0.00750872	−	0.499944i
$29$	−1.69194	−	2.32876i	−0.314186	−	0.432440i	0.622495	−	0.782624i	$-0.286119\pi$
$29$	−1.69194	−	2.32876i	−0.314186	−	0.432440i	−0.936681	+	0.350184i	$0.886119\pi$
$30$	−0.143280	+	0.393969i	−0.0261592	+	0.0719285i
$31$	1.35651	−	0.440757i	0.243637	−	0.0791624i	−0.184653	−	0.982804i	$-0.559116\pi$
$31$	1.35651	−	0.440757i	0.243637	−	0.0791624i	0.428290	+	0.903641i	$0.359116\pi$
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	−0.444183	+	0.435121i	−0.0773224	+	0.0757448i
$34$	−6.41277			−1.09978
$35$	−3.57069	+	4.71701i	−0.603556	+	0.797321i
$36$	−2.39862	−	1.74270i	−0.399769	−	0.290449i
$37$	3.32202	+	0.526156i	0.546136	+	0.0864994i	0.423405	−	0.905941i	$-0.360835\pi$
$37$	3.32202	+	0.526156i	0.546136	+	0.0864994i	0.122731	+	0.992440i	$0.460835\pi$
$38$	−3.14300	+	1.60144i	−0.509862	+	0.259788i
$39$	−0.838221	−	0.272354i	−0.134223	−	0.0436116i
$40$	0.273071	+	2.21933i	0.0431763	+	0.350907i
$41$	−3.91107	+	5.38313i	−0.610807	+	0.840704i	−0.996644	−	0.0818634i	$-0.973913\pi$
$41$	−3.91107	+	5.38313i	−0.610807	+	0.840704i	0.385837	+	0.922567i	$0.373913\pi$
$42$	0.297547	+	0.396865i	0.0459125	+	0.0612377i
$43$	−0.198503	+	0.198503i	−0.0302714	+	0.0302714i	−0.722080	−	0.691809i	$-0.756814\pi$
$43$	−0.198503	+	0.198503i	−0.0302714	+	0.0302714i	0.691809	+	0.722080i	$0.256814\pi$
$44$	−1.05735	+	3.14357i	−0.159401	+	0.473911i
$45$	1.82898	+	6.37233i	0.272649	+	0.949930i
$46$	0.509203	+	1.56717i	0.0750779	+	0.231066i
$47$	−2.57029	+	0.407093i	−0.374915	+	0.0593807i	−0.341048	−	0.940046i	$-0.610782\pi$
$47$	−2.57029	+	0.407093i	−0.374915	+	0.0593807i	−0.0338662	+	0.999426i	$0.510782\pi$
$48$	0.185170	+	0.0293280i	0.0267270	+	0.00423314i
$49$	2.36207	+	6.58943i	0.337439	+	0.941347i
$50$	2.57302	−	4.28714i	0.363880	−	0.606293i
$51$	0.972645	−	0.706668i	0.136198	−	0.0989533i
$52$	−4.64324	+	0.735417i	−0.643902	+	0.101984i
$53$	10.8879	+	5.54767i	1.49557	+	0.762032i	0.994634	−	0.103452i	$-0.0329889\pi$
$53$	10.8879	+	5.54767i	1.49557	+	0.762032i	0.500937	+	0.865484i	$0.332989\pi$
$54$	1.11828			0.152179
$55$	6.18969	−	4.08507i	0.834617	−	0.550831i
$56$	2.37515	+	1.16561i	0.317393	+	0.155761i
$57$	0.300235	−	0.589244i	0.0397670	−	0.0780472i
$58$	2.84306	−	0.450297i	0.373313	−	0.0591269i
$59$	−5.60364	+	4.07128i	−0.729531	+	0.530036i	−0.889415	−	0.457100i	$-0.848888\pi$
$59$	−5.60364	+	4.07128i	−0.729531	+	0.530036i	0.159884	+	0.987136i	$0.448888\pi$
$60$	−0.285981	−	0.306521i	−0.0369200	−	0.0395717i
$61$	9.17550	+	2.98130i	1.17480	+	0.381716i	0.830433	−	0.557118i	$-0.188093\pi$
$61$	9.17550	+	2.98130i	1.17480	+	0.381716i	0.344369	+	0.938834i	$0.388093\pi$
$62$	−0.223126	+	1.40876i	−0.0283370	+	0.178913i
$63$	7.49590	+	2.31170i	0.944394	+	0.291247i
$64$	0.951057	−	0.309017i	0.118882	−	0.0386271i
$65$	9.19532	+	5.09400i	1.14054	+	0.631833i
$66$	−0.186040	−	0.593311i	−0.0229000	−	0.0730315i
$67$	−2.03972	−	2.03972i	−0.249191	−	0.249191i	0.571448	−	0.820639i	$-0.306382\pi$
$67$	−2.03972	−	2.03972i	−0.249191	−	0.249191i	−0.820639	+	0.571448i	$0.806382\pi$
$68$	2.91134	−	5.71382i	0.353052	−	0.692903i
$69$	−0.249929	−	0.181584i	−0.0300880	−	0.0218602i
$70$	−2.58183	−	5.32298i	−0.308588	−	0.636218i
$71$	−4.04660	+	12.4541i	−0.480243	+	1.47804i	0.358511	+	0.933525i	$0.383284\pi$
$71$	−4.04660	+	12.4541i	−0.480243	+	1.47804i	−0.838754	+	0.544510i	$0.816716\pi$
$72$	2.64170	−	1.34601i	0.311328	−	0.158629i
$73$	−1.49738	−	0.237162i	−0.175256	−	0.0277578i	0.0681898	−	0.997672i	$-0.478278\pi$
$73$	−1.49738	−	0.237162i	−0.175256	−	0.0277578i	−0.243445	+	0.969915i	$0.578278\pi$
$74$	−1.97697	+	2.72107i	−0.229818	+	0.316318i
$75$	0.0821723	+	0.933782i	0.00948844	+	0.107824i
$76$		−	3.52747i		−	0.404629i
$77$	−0.0413451	−	8.77487i	−0.00471171	−	0.999989i
$78$	0.623214	−	0.623214i	0.0705651	−	0.0705651i
$79$	−6.26511	+	2.03566i	−0.704879	+	0.229029i	−0.639455	−	0.768828i	$-0.720840\pi$
$79$	−6.26511	+	2.03566i	−0.704879	+	0.229029i	−0.0654242	+	0.997858i	$0.520840\pi$
$80$	−2.10141	−	0.764248i	−0.234945	−	0.0854455i
$81$	7.02623	−	5.10486i	0.780693	−	0.567206i
$82$	−3.02081	−	5.92868i	−0.333593	−	0.654713i
$83$	3.62667	−	1.84788i	0.398079	−	0.202831i	−0.243479	−	0.969906i	$-0.578289\pi$
$83$	3.62667	−	1.84788i	0.398079	−	0.202831i	0.641558	+	0.767075i	$0.278289\pi$
$84$	−0.488693	+	0.0849432i	−0.0533208	+	0.00926806i
$85$	−12.9944	+	6.06339i	−1.40944	+	0.657666i
$86$	−0.0867488	−	0.266985i	−0.00935437	−	0.0287898i
$87$	−0.381595	+	0.381595i	−0.0409113	+	0.0409113i
$88$	−2.32091	−	2.36925i	−0.247410	−	0.252563i
$89$	0.443689			0.0470309			0.0235154	−	0.999723i	$-0.492514\pi$
$89$	0.443689			0.0470309			0.0235154	+	0.999723i	$0.492514\pi$
$90$	−6.50813	−	1.26334i	−0.686017	−	0.133168i
$91$	10.9963	−	5.81252i	1.15272	−	0.609318i
$92$	−1.62753	−	0.257775i	−0.169682	−	0.0268749i
$93$	−0.121399	−	0.238259i	−0.0125885	−	0.0247063i
$94$	0.804163	−	2.47496i	0.0829430	−	0.255272i
$95$	−4.85455	+	6.21679i	−0.498067	+	0.637830i
$96$	−0.110197	+	0.151673i	−0.0112469	+	0.0154801i
$97$	−7.79724	−	3.97289i	−0.791690	−	0.403386i	0.0108823	−	0.999941i	$-0.496536\pi$
$97$	−7.79724	−	3.97289i	−0.791690	−	0.403386i	−0.802573	+	0.596554i	$0.796536\pi$
$98$	−6.94359	−	0.886915i	−0.701408	−	0.0895919i
$99$	−7.89532	−	5.86155i	−0.793509	−	0.589108i
$100$	2.65175	+	4.23890i	0.265175	+	0.423890i
$101$	−16.2712	+	5.28682i	−1.61904	+	0.526058i	−0.971715	−	0.236155i	$-0.924113\pi$
$101$	−16.2712	+	5.28682i	−1.61904	+	0.526058i	−0.647326	+	0.762213i	$0.724113\pi$
$102$	0.188074	+	1.18745i	0.0186221	+	0.117575i
$103$	−4.55156	−	0.720896i	−0.448478	−	0.0710320i	−0.0718897	−	0.997413i	$-0.522903\pi$
$103$	−4.55156	−	0.720896i	−0.448478	−	0.0710320i	−0.376589	+	0.926381i	$0.622903\pi$
$104$	1.45273	−	4.47103i	0.142452	−	0.438421i
$105$	0.978170	+	0.522843i	0.0954596	+	0.0510243i
$106$	−9.88603	+	7.18262i	−0.960216	+	0.697638i
$107$	−1.99333	−	12.5854i	−0.192702	−	1.21667i	−0.874461	−	0.485097i	$-0.838784\pi$
$107$	−1.99333	−	12.5854i	−0.192702	−	1.21667i	0.681758	−	0.731577i	$-0.261216\pi$
$108$	−0.507688	+	0.996394i	−0.0488523	+	0.0958781i
$109$		−	16.4917i		−	1.57962i	−0.613355	−	0.789808i	$-0.710180\pi$
$109$		−	16.4917i		−	1.57962i	0.613355	−	0.789808i	$-0.289820\pi$
$110$	0.829765	+	7.36963i	0.0791150	+	0.702667i
$111$		−	0.630569i		−	0.0598509i
$112$	−2.11686	+	1.58710i	−0.200025	+	0.149967i
$113$	6.33446	−	1.00328i	0.595896	−	0.0943806i	0.148801	−	0.988867i	$-0.452459\pi$
$113$	6.33446	−	1.00328i	0.595896	−	0.0943806i	0.447095	+	0.894487i	$0.352459\pi$
$114$	0.388716	+	0.535022i	0.0364066	+	0.0501094i
$115$	2.51359	+	2.69413i	0.234394	+	0.251229i
$116$	−0.889506	+	2.73762i	−0.0825886	+	0.254182i
$117$	2.18040	−	13.7665i	0.201578	−	1.27272i
$118$	−1.08354	−	6.84120i	−0.0997479	−	0.629783i
$119$	−2.40220	+	16.7957i	−0.220210	+	1.53966i
$120$	0.402945	−	0.115653i	0.0367837	−	0.0105576i
$121$	−3.61409	+	10.3893i	−0.328554	+	0.944485i
$122$	−6.82195	+	6.82195i	−0.617630	+	0.617630i
$123$	1.11150	+	0.566337i	0.100220	+	0.0510649i
$124$	−1.15392	−	0.838370i	−0.103625	−	0.0752879i
$125$	1.16021	−	11.1200i	0.103772	−	0.994601i
$126$	−5.46281	+	5.62940i	−0.486666	+	0.501507i
$127$	19.2516	−	9.80918i	1.70830	−	0.870424i	0.724931	−	0.688822i	$-0.241872\pi$
$127$	19.2516	−	9.80918i	1.70830	−	0.870424i	0.983372	−	0.181602i	$-0.0581282\pi$
$128$	−0.156434	+	0.987688i	−0.0138270	+	0.0873001i
$129$	0.0425784	+	0.0309350i	0.00374882	+	0.00272368i
$130$	−8.71337	+	5.88046i	−0.764213	+	0.515750i
$131$		−	12.3612i		−	1.08001i	−0.841663	−	0.540004i	$-0.818423\pi$
$131$		−	12.3612i		−	1.08001i	0.841663	−	0.540004i	$-0.181577\pi$
$132$	0.613104	+	0.103594i	0.0533639	+	0.00901673i
$133$	3.01697	+	8.83172i	0.261604	+	0.765807i
$134$	2.74341	−	0.891389i	0.236995	−	0.0770043i
$135$	2.26600	−	1.05735i	0.195026	−	0.0910024i
$136$	3.76933	+	5.18804i	0.323218	+	0.444871i
$137$	7.36912	−	3.75475i	0.629586	−	0.320790i	−0.109919	−	0.993941i	$-0.535059\pi$
$137$	7.36912	−	3.75475i	0.629586	−	0.320790i	0.739506	+	0.673150i	$0.235059\pi$
$138$	0.275258	−	0.140251i	0.0234315	−	0.0119390i
$139$	15.2128	−	11.0528i	1.29034	−	0.937485i	0.290525	−	0.956867i	$-0.406170\pi$
$139$	15.2128	−	11.0528i	1.29034	−	0.937485i	0.999812	+	0.0193828i	$0.00617011\pi$
$140$	5.91494	+	0.116156i	0.499904	+	0.00981694i
$141$	0.150763	+	0.464001i	0.0126965	+	0.0390759i
$142$	−9.25961	−	9.25961i	−0.777049	−	0.777049i
$143$	−15.4242	+	2.28026i	−1.28984	+	0.190685i
$144$			2.96485i			0.247071i
$145$	5.33521	−	3.60061i	0.443065	−	0.299015i
$146$	0.891112	−	1.22651i	0.0737489	−	0.101507i
$147$	1.15089	−	0.630640i	0.0949238	−	0.0520144i
$148$	−1.52696	−	2.99683i	−0.125516	−	0.246338i
$149$	−9.20509	−	2.99092i	−0.754111	−	0.245025i	−0.0933616	−	0.995632i	$-0.529761\pi$
$149$	−9.20509	−	2.99092i	−0.754111	−	0.245025i	−0.660749	+	0.750607i	$0.729761\pi$
$150$	−0.869311	−	0.350712i	−0.0709790	−	0.0286355i
$151$	−8.26271	−	6.00321i	−0.672409	−	0.488534i	0.198421	−	0.980117i	$-0.436419\pi$
$151$	−8.26271	−	6.00321i	−0.672409	−	0.488534i	−0.870831	+	0.491583i	$0.836419\pi$
$152$	3.14300	+	1.60144i	0.254931	+	0.129894i
$153$	13.4442	+	13.4442i	1.08690	+	1.08690i
$154$	7.83723	+	3.94687i	0.631542	+	0.318048i
$155$	0.879881	+	3.06558i	0.0706738	+	0.246233i
$156$	0.272354	+	0.838221i	0.0218058	+	0.0671114i
$157$	−6.36877	+	1.00871i	−0.508283	+	0.0805042i	−0.405309	−	0.914180i	$-0.632836\pi$
$157$	−6.36877	+	1.00871i	−0.508283	+	0.0805042i	−0.102975	+	0.994684i	$0.532836\pi$
$158$	1.03052	−	6.50642i	0.0819834	−	0.517623i
$159$	0.707941	−	2.17882i	0.0561434	−	0.172792i
$160$	1.63497	−	1.52541i	0.129256	−	0.120594i
$161$	4.29531	−	0.746598i	0.338518	−	0.0588402i
$162$	1.35862	+	8.57798i	0.106743	+	0.673950i
$163$	−6.72927	−	3.42873i	−0.527077	−	0.268559i	0.170139	−	0.985420i	$-0.445578\pi$
$163$	−6.72927	−	3.42873i	−0.527077	−	0.268559i	−0.697216	+	0.716861i	$0.745578\pi$
$164$	6.65392			0.519583
$165$	−0.937964	−	1.02634i	−0.0730204	−	0.0799002i
$166$			4.07031i			0.315917i
$167$	−13.4488	−	6.85252i	−1.04070	−	0.530264i	−0.151823	−	0.988408i	$-0.548514\pi$
$167$	−13.4488	−	6.85252i	−1.04070	−	0.530264i	−0.888878	+	0.458144i	$0.848514\pi$
$168$	0.146177	−	0.473992i	0.0112778	−	0.0365693i
$169$	−5.34916	−	7.36249i	−0.411474	−	0.566345i
$170$	0.496806	−	14.3308i	0.0381033	−	1.09912i
$171$	9.94655	+	3.23183i	0.760632	+	0.247144i
$172$	0.277269	+	0.0439151i	0.0211416	+	0.00334849i
$173$	−1.56203	−	9.86228i	−0.118759	−	0.749815i	−0.973148	−	0.230181i	$-0.926068\pi$
$173$	−1.56203	−	9.86228i	−0.118759	−	0.749815i	0.854389	−	0.519634i	$-0.173932\pi$
$174$	−0.166763	−	0.513244i	−0.0126423	−	0.0389089i
$175$	−10.2646	−	8.34494i	−0.775931	−	0.630818i
$176$	3.16469	−	0.992330i	0.238548	−	0.0747997i
$177$	0.918223	+	0.918223i	0.0690178	+	0.0690178i
$178$	−0.201430	+	0.395329i	−0.0150978	+	0.0296312i
$179$	−9.93924	+	13.6802i	−0.742894	+	1.02251i	0.255553	+	0.966795i	$0.417742\pi$
$179$	−9.93924	+	13.6802i	−0.742894	+	1.02251i	−0.998447	+	0.0557108i	$0.982258\pi$
$180$	4.08027	−	5.22524i	0.304125	−	0.389466i
$181$	9.02952	+	2.93387i	0.671159	+	0.218073i	0.624721	−	0.780848i	$-0.285213\pi$
$181$	9.02952	+	2.93387i	0.671159	+	0.218073i	0.0464385	+	0.998921i	$0.485213\pi$
$182$	0.186787	+	12.4366i	0.0138456	+	0.921862i
$183$	0.282948	−	1.78646i	0.0209161	−	0.132059i
$184$	0.968562	−	1.33311i	0.0714034	−	0.0982783i
$185$	−1.43317	+	7.38303i	−0.105369	+	0.542811i
$186$	0.267404			0.0196070
$187$	9.85061	−	18.8501i	0.720348	−	1.37846i
$188$	1.84012	+	1.84012i	0.134205	+	0.134205i
$189$	0.418904	−	2.92888i	0.0304708	−	0.213045i
$190$	−3.33528	−	7.14781i	−0.241967	−	0.518556i
$191$	−18.3120	+	13.3044i	−1.32501	+	0.962674i	−0.325152	+	0.945662i	$0.605416\pi$
$191$	−18.3120	+	13.3044i	−1.32501	+	0.962674i	−0.999855	+	0.0170127i	$0.994584\pi$
$192$	−0.0851133	−	0.167044i	−0.00614252	−	0.0120554i
$193$	3.86381	+	7.58315i	0.278123	+	0.545847i	0.987239	−	0.159245i	$-0.0509059\pi$
$193$	3.86381	+	7.58315i	0.278123	+	0.545847i	−0.709116	+	0.705092i	$0.750906\pi$
$194$	7.07975	−	5.14374i	0.508296	−	0.369299i
$195$	0.673575	−	1.85209i	0.0482357	−	0.132631i
$196$	3.94257	−	5.78413i	0.281612	−	0.413152i
$197$	10.1895	+	10.1895i	0.725973	+	0.725973i	0.969815	−	0.243842i	$-0.0784077\pi$
$197$	10.1895	+	10.1895i	0.725973	+	0.725973i	−0.243842	+	0.969815i	$0.578408\pi$
$198$	8.80708	−	4.37369i	0.625892	−	0.310825i
$199$	−15.8084			−1.12063			−0.560313	−	0.828281i	$-0.689319\pi$
$199$	−15.8084			−1.12063			−0.560313	+	0.828281i	$0.689319\pi$
$200$	−4.98075	+	0.438303i	−0.352192	+	0.0309927i
$201$	−0.317873	+	0.437515i	−0.0224211	+	0.0308599i
$202$	2.67636	−	16.8979i	0.188308	−	1.18893i
$203$	−0.114370	−	7.61495i	−0.00802720	−	0.534464i
$204$	−1.14341	−	0.371517i	−0.0800549	−	0.0260114i
$205$	−11.7268	−	9.15721i	−0.819037	−	0.639568i
$206$	2.70869	−	3.72819i	0.188723	−	0.259755i
$207$	2.21799	−	4.35304i	0.154161	−	0.302557i
$208$	3.32419	+	3.32419i	0.230491	+	0.230491i
$209$	0.120574	−	11.6987i	0.00834029	−	0.809214i
$210$	−0.909937	+	0.634190i	−0.0627916	+	0.0437633i
$211$	3.34994	+	10.3101i	0.230619	+	0.709773i	0.997672	+	0.0681896i	$0.0217223\pi$
$211$	3.34994	+	10.3101i	0.230619	+	0.709773i	−0.767053	+	0.641584i	$0.778278\pi$
$212$	−1.91160	−	12.0694i	−0.131289	−	0.828927i
$213$	2.42481	+	0.384053i	0.166145	+	0.0263149i
$214$	12.1186	+	3.93757i	0.828411	+	0.269167i
$215$	−0.428221	−	0.458977i	−0.0292044	−	0.0313020i
$216$	−0.657308	−	0.904707i	−0.0447242	−	0.0615575i
$217$	3.60610	+	1.11211i	0.244798	+	0.0754946i
$218$	14.6942	+	7.48706i	0.995216	+	0.507088i
$219$			0.284226i			0.0192062i
$220$	−6.94310	−	2.60642i	−0.468103	−	0.175725i
$221$	30.1472			2.02792
$222$	0.561841	+	0.286272i	0.0377083	+	0.0192133i
$223$	−4.32901	−	27.3323i	−0.289892	−	1.83031i	−0.516459	−	0.856312i	$-0.672750\pi$
$223$	−4.32901	−	27.3323i	−0.289892	−	1.83031i	0.226567	−	0.973996i	$-0.427250\pi$
$224$	−0.453083	−	2.60667i	−0.0302729	−	0.174165i
$225$	−14.3821	+	3.59360i	−0.958806	+	0.239574i
$226$	−1.98186	+	6.09952i	−0.131831	+	0.405734i
$227$	3.77669	−	23.8451i	0.250668	−	1.58266i	−0.465706	−	0.884939i	$-0.654200\pi$
$227$	3.77669	−	23.8451i	0.250668	−	1.58266i	0.716374	−	0.697716i	$-0.245800\pi$
$228$	−0.653182	+	0.103454i	−0.0432580	+	0.00685140i
$229$	−0.222623	−	0.685163i	−0.0147113	−	0.0452769i	0.943431	−	0.331568i	$-0.107578\pi$
$229$	−0.222623	−	0.685163i	−0.0147113	−	0.0452769i	−0.958143	+	0.286291i	$0.907578\pi$
$230$	−3.54164	+	1.01652i	−0.233529	+	0.0670273i
$231$	−1.62363	+	0.265006i	−0.106827	+	0.0174361i
$232$	−2.03541	−	2.03541i	−0.133631	−	0.133631i
$233$	10.5141	+	5.35720i	0.688801	+	0.350962i	0.763106	−	0.646274i	$-0.223674\pi$
$233$	10.5141	+	5.35720i	0.688801	+	0.350962i	−0.0743044	+	0.997236i	$0.523674\pi$
$234$	11.2762	+	8.19263i	0.737147	+	0.535569i
$235$	−0.710618	−	5.77542i	−0.0463556	−	0.376747i
$236$	6.58747	+	2.14040i	0.428808	+	0.139328i
$237$	0.560686	+	1.10041i	0.0364204	+	0.0714792i
$238$	−13.8745	−	9.76546i	−0.899350	−	0.633001i
$239$	9.47919	−	13.0470i	0.613158	−	0.843939i	−0.383675	−	0.923468i	$-0.625342\pi$
$239$	9.47919	−	13.0470i	0.613158	−	0.843939i	0.996833	+	0.0795290i	$0.0253416\pi$
$240$	−0.0798855	+	0.411532i	−0.00515659	+	0.0265643i
$241$		−	7.74712i		−	0.499036i	−0.968370	−	0.249518i	$-0.919728\pi$
$241$		−	7.74712i		−	0.499036i	0.968370	−	0.249518i	$-0.0802722\pi$
$242$	−7.61621	−	7.93684i	−0.489588	−	0.510199i
$243$	−3.52356	−	3.52356i	−0.226037	−	0.226037i
$244$	−2.98130	−	9.17550i	−0.190858	−	0.587401i
$245$	−14.9086	+	4.76810i	−0.952473	+	0.304623i
$246$	−1.00922	+	0.733241i	−0.0643455	+	0.0467497i
$247$	14.7756	−	7.52855i	0.940150	−	0.479030i
$248$	1.27086	−	0.647536i	0.0806998	−	0.0411186i
$249$	−0.448535	−	0.617356i	−0.0284248	−	0.0391234i
$250$	9.38125	+	6.08212i	0.593322	+	0.384667i
$251$	3.96460	−	1.28818i	0.250243	−	0.0813090i	−0.181209	−	0.983445i	$-0.558001\pi$
$251$	3.96460	−	1.28818i	0.250243	−	0.0813090i	0.431453	+	0.902136i	$0.358001\pi$
$252$	−2.53577	−	7.42309i	−0.159739	−	0.467611i
$253$	−5.38881	−	0.910530i	−0.338791	−	0.0572445i
$254$			21.6066i			1.35572i
$255$	1.50386	+	2.22834i	0.0941751	+	0.139544i
$256$	−0.809017	−	0.587785i	−0.0505636	−	0.0367366i
$257$	−4.04134	+	25.5160i	−0.252092	+	1.59165i	0.458928	+	0.888473i	$0.348233\pi$
$257$	−4.04134	+	25.5160i	−0.252092	+	1.59165i	−0.711020	+	0.703172i	$0.751767\pi$
$258$	−0.0468935	+	0.0238934i	−0.00291946	+	0.00148754i
$259$	6.38618	+	6.19719i	0.396818	+	0.385074i
$260$	−1.28374	−	10.4333i	−0.0796140	−	0.647049i
$261$	−6.90442	−	5.01636i	−0.427373	−	0.310505i
$262$	11.0140	+	5.61189i	0.680444	+	0.346704i
$263$	−4.40913	+	4.40913i	−0.271879	+	0.271879i	−0.829856	−	0.557977i	$-0.811578\pi$
$263$	−4.40913	+	4.40913i	−0.271879	+	0.271879i	0.557977	+	0.829856i	$0.311578\pi$
$264$	−0.370647	+	0.499249i	−0.0228117	+	0.0307267i
$265$	−13.2410	+	23.9017i	−0.813390	+	1.46827i
$266$	−9.23879	−	1.32138i	−0.566467	−	0.0810189i
$267$	−0.0130125	−	0.0821578i	−0.000796353	−	0.00502798i
$268$	−0.451250	+	2.84908i	−0.0275645	+	0.174035i
$269$	−8.52316	+	26.2316i	−0.519666	+	1.59937i	0.254962	+	0.966951i	$0.417937\pi$
$269$	−8.52316	+	26.2316i	−0.519666	+	1.59937i	−0.774628	+	0.632417i	$0.782063\pi$
$270$	−0.0866345	+	2.49905i	−0.00527241	+	0.152087i
$271$	−14.5658	−	20.0482i	−0.884812	−	1.21784i	−0.975065	−	0.221920i	$-0.928768\pi$
$271$	−14.5658	−	20.0482i	−0.884812	−	1.21784i	0.0902534	−	0.995919i	$-0.471232\pi$
$272$	−6.33382	+	1.00318i	−0.384044	+	0.0608267i
$273$	−1.39880	−	1.86571i	−0.0846595	−	0.112918i
$274$			8.27056i			0.499643i
$275$	8.64949	+	14.1487i	0.521584	+	0.853200i
$276$			0.308930i			0.0185954i
$277$	−5.37900	+	10.5569i	−0.323193	+	0.634302i	−0.994248	−	0.107106i	$-0.965842\pi$
$277$	−5.37900	+	10.5569i	−0.323193	+	0.634302i	0.671055	+	0.741408i	$0.265842\pi$
$278$	2.94161	+	18.5726i	0.176426	+	1.11391i
$279$	3.42120	−	2.48564i	0.204822	−	0.148812i
$280$	−2.78882	+	5.21752i	−0.166664	+	0.311806i
$281$	2.58854	−	7.96669i	0.154419	−	0.475253i	−0.843682	−	0.536842i	$-0.819617\pi$
$281$	2.58854	−	7.96669i	0.154419	−	0.475253i	0.998102	+	0.0615894i	$0.0196169\pi$
$282$	−0.481872	−	0.0763211i	−0.0286951	−	0.00454485i
$283$	−2.88347	−	18.2055i	−0.171405	−	1.08221i	−0.911980	−	0.410234i	$-0.865447\pi$
$283$	−2.88347	−	18.2055i	−0.171405	−	1.08221i	0.740576	−	0.671973i	$-0.234553\pi$
$284$	12.4541	−	4.04660i	0.739018	−	0.240121i
$285$	1.29354	+	0.716591i	0.0766226	+	0.0424472i
$286$	4.97072	−	14.7783i	0.293925	−	0.873859i
$287$	−16.6594	+	5.69095i	−0.983373	+	0.335926i
$288$	−2.64170	−	1.34601i	−0.155664	−	0.0793147i
$289$	−14.1795	+	19.5165i	−0.834091	+	1.14803i
$290$	0.786035	+	6.38835i	0.0461575	+	0.375137i
$291$	−0.506983	+	1.56033i	−0.0297199	+	0.0914683i
$292$	0.688272	+	1.35081i	0.0402781	+	0.0790502i
$293$	31.3201	+	4.96062i	1.82974	+	0.289803i	0.973823	−	0.227308i	$-0.0729924\pi$
$293$	31.3201	+	4.96062i	1.82974	+	0.289803i	0.855919	+	0.517111i	$0.172992\pi$
$294$	0.0394118	+	1.31176i	0.00229854	+	0.0765031i
$295$	−8.66407	−	12.8380i	−0.504442	−	0.747457i
$296$	3.36342			0.195495
$297$	−1.71778	+	3.28714i	−0.0996757	+	0.190739i
$298$	6.84395	−	6.84395i	0.396459	−	0.396459i
$299$	−2.39383	−	7.36744i	−0.138439	−	0.426070i
$300$	0.707146	−	0.615342i	0.0408271	−	0.0355268i
$301$	−0.731757	+	0.127192i	−0.0421778	+	0.00733122i
$302$	9.10009	−	4.63673i	0.523651	−	0.266814i
$303$	1.45616	+	2.85788i	0.0836543	+	0.164181i
$304$	−2.85378	+	2.07339i	−0.163676	+	0.118917i
$305$	−7.37323	+	20.2738i	−0.422190	+	1.16087i
$306$	−18.0824	+	5.87532i	−1.03370	+	0.335870i
$307$	11.4023	−	11.4023i	0.650766	−	0.650766i	−0.302412	−	0.953177i	$-0.597792\pi$
$307$	11.4023	−	11.4023i	0.650766	−	0.650766i	0.953177	+	0.302412i	$0.0977917\pi$
$308$	−7.07471	+	5.19119i	−0.403119	+	0.295795i
$309$			0.863954i			0.0491487i
$310$	−3.13091	−	0.607763i	−0.177824	−	0.0345186i
$311$	−1.69479	+	2.33267i	−0.0961025	+	0.132274i	−0.854360	−	0.519681i	$-0.826051\pi$
$311$	−1.69479	+	2.33267i	−0.0961025	+	0.132274i	0.758258	+	0.651955i	$0.226051\pi$
$312$	−0.870506	−	0.137875i	−0.0492827	−	0.00780562i
$313$	7.25459	−	3.69640i	0.410054	−	0.208933i	−0.236781	−	0.971563i	$-0.576092\pi$
$313$	7.25459	−	3.69640i	0.410054	−	0.208933i	0.646835	+	0.762630i	$0.276092\pi$
$314$	1.99259	−	6.13257i	0.112448	−	0.346081i
$315$	−5.74673	+	16.5722i	−0.323792	+	0.933737i
$316$	5.32942	+	3.87205i	0.299803	+	0.217820i
$317$	8.42857	−	16.5420i	0.473396	−	0.929091i	−0.523625	−	0.851949i	$-0.675421\pi$
$317$	8.42857	−	16.5420i	0.473396	−	0.929091i	0.997020	−	0.0771420i	$-0.0245795\pi$
$318$	1.61994	+	1.61994i	0.0908419	+	0.0908419i
$319$	−3.04358	+	9.04877i	−0.170408	+	0.506634i
$320$	0.616889	+	2.14929i	0.0344851	+	0.120149i
$321$	−2.27197	+	0.738209i	−0.126809	+	0.0412028i
$322$	−1.28481	+	4.16610i	−0.0715995	+	0.232168i
$323$	−3.53868	+	22.3424i	−0.196898	+	1.24316i
$324$	−8.25983	−	2.68378i	−0.458880	−	0.149099i
$325$	−12.0961	+	20.1544i	−0.670969	+	1.11796i
$326$	6.11005	−	4.43921i	0.338404	−	0.245865i
$327$	−3.05376	+	0.483668i	−0.168873	+	0.0267469i
$328$	−3.02081	+	5.92868i	−0.166797	+	0.327357i
$329$	−6.18092	−	3.03329i	−0.340765	−	0.167231i
$330$	1.34030	−	0.369784i	0.0737811	−	0.0203560i
$331$	23.3479			1.28332			0.641658	−	0.766991i	$-0.278247\pi$
$331$	23.3479			1.28332			0.641658	+	0.766991i	$0.278247\pi$
$332$	−3.62667	−	1.84788i	−0.199039	−	0.101416i
$333$	9.84928	−	1.55997i	0.539737	−	0.0854860i
$334$	12.2113	−	8.87201i	0.668171	−	0.485455i
$335$	4.71623	−	4.40019i	0.257675	−	0.240408i
$336$	0.355967	+	0.345433i	0.0194196	+	0.0188449i
$337$	2.00634	+	0.317774i	0.109293	+	0.0173102i	0.210841	−	0.977520i	$-0.432380\pi$
$337$	2.00634	+	0.317774i	0.109293	+	0.0173102i	−0.101549	+	0.994831i	$0.532380\pi$
$338$	8.98849	−	1.42364i	0.488910	−	0.0774357i
$339$	−0.371555	−	1.14353i	−0.0201801	−	0.0621079i
$340$	12.5433	+	6.94870i	0.680255	+	0.376846i
$341$	−3.79825	−	2.81985i	−0.205687	−	0.152704i
$342$	−7.39522	+	7.39522i	−0.399888	+	0.399888i
$343$	−4.92396	+	17.8537i	−0.265869	+	0.964009i
$344$	−0.165006	+	0.227111i	−0.00889653	+	0.0122450i
$345$	0.425153	−	0.544456i	0.0228895	−	0.0293125i
$346$	9.49650	+	3.08560i	0.510535	+	0.165883i
$347$	−6.53289	+	3.32867i	−0.350704	+	0.178692i	−0.620464	−	0.784235i	$-0.713056\pi$
$347$	−6.53289	+	3.32867i	−0.350704	+	0.178692i	0.269760	+	0.962928i	$0.413056\pi$
$348$	0.533012	+	0.0844209i	0.0285725	+	0.00452543i
$349$	−20.5889	−	14.9587i	−1.10210	−	0.800722i	−0.120698	−	0.992689i	$-0.538513\pi$
$349$	−20.5889	−	14.9587i	−1.10210	−	0.800722i	−0.981401	+	0.191967i	$0.938513\pi$
$350$	12.0954	−	5.35731i	0.646528	−	0.286360i
$351$	−5.25717			−0.280607
$352$	−0.552568	+	3.27027i	−0.0294519	+	0.174306i
$353$	6.39169	+	6.39169i	0.340195	+	0.340195i	0.856441	−	0.516245i	$-0.172671\pi$
$353$	6.39169	+	6.39169i	0.340195	+	0.340195i	−0.516245	+	0.856441i	$0.672671\pi$
$354$	−1.23501	+	0.401278i	−0.0656399	+	0.0213277i
$355$	−27.5181	−	10.0079i	−1.46051	−	0.531163i
$356$	−0.260794	−	0.358952i	−0.0138220	−	0.0190244i
$357$	3.18051	−	0.0477685i	0.168330	−	0.00252818i
$358$	−7.67682	−	15.0666i	−0.405733	−	0.796295i
$359$	−6.09380	−	8.38739i	−0.321618	−	0.442670i	0.617342	−	0.786695i	$-0.288209\pi$
$359$	−6.09380	−	8.38739i	−0.321618	−	0.442670i	−0.938960	+	0.344025i	$0.888209\pi$
$360$	2.80332	+	6.00776i	0.147748	+	0.316637i
$361$	−2.02621	−	6.23603i	−0.106643	−	0.328212i
$362$	−6.71341	+	6.71341i	−0.352849	+	0.352849i
$363$	2.02979	+	0.364522i	0.106536	+	0.0191324i
$364$	−11.1659	−	5.47967i	−0.585251	−	0.287213i
$365$	0.645997	−	3.32787i	0.0338130	−	0.174189i
$366$	1.46329	+	1.06315i	0.0764876	+	0.0555715i
$367$	−2.17461	+	13.7299i	−0.113513	+	0.716696i	0.863632	+	0.504123i	$0.168184\pi$
$367$	−2.17461	+	13.7299i	−0.113513	+	0.716696i	−0.977145	+	0.212573i	$0.931816\pi$
$368$	0.748093	+	1.46822i	0.0389971	+	0.0765360i
$369$	−6.09625	+	18.7623i	−0.317358	+	0.976728i
$370$	−5.92768	−	4.62879i	−0.308165	−	0.240640i
$371$	15.1087	+	28.5831i	0.784405	+	1.48396i
$372$	−0.121399	+	0.238259i	−0.00629424	+	0.0123531i
$373$	−21.6979	+	21.6979i	−1.12348	+	1.12348i	−0.132262	+	0.991215i	$0.542224\pi$
$373$	−21.6979	+	21.6979i	−1.12348	+	1.12348i	−0.991215	+	0.132262i	$0.957776\pi$
$374$	12.3235	+	17.3347i	0.637231	+	0.896357i
$375$	−2.09311	+	0.111291i	−0.108088	+	0.00574706i
$376$	−2.47496	+	0.804163i	−0.127636	+	0.0414715i
$377$	−13.3656	+	2.11690i	−0.688363	+	0.109026i
$378$	2.41948	+	1.70293i	0.124444	+	0.0875893i
$379$	−7.17042	−	2.32981i	−0.368320	−	0.119674i	0.119008	−	0.992893i	$-0.462028\pi$
$379$	−7.17042	−	2.32981i	−0.368320	−	0.119674i	−0.487328	+	0.873219i	$0.662028\pi$
$380$	7.88293	+	0.273278i	0.404386	+	0.0140188i
$381$	−2.38098	−	3.27713i	−0.121981	−	0.167893i
$382$	−3.54087	−	22.3562i	−0.181167	−	1.14384i
$383$	−1.13097	+	2.21966i	−0.0577900	+	0.113419i	−0.918095	−	0.396360i	$-0.870273\pi$
$383$	−1.13097	+	2.21966i	−0.0577900	+	0.113419i	0.860305	+	0.509780i	$0.170273\pi$
$384$	0.187478			0.00956720
$385$	19.6126	+	0.587405i	0.999552	+	0.0299369i
$386$	−8.51077			−0.433187
$387$	−0.377860	+	0.741592i	−0.0192077	+	0.0376973i
$388$	1.36897	+	8.64331i	0.0694987	+	0.438798i
$389$	4.74672	+	6.53330i	0.240668	+	0.331252i	0.912216	−	0.409710i	$-0.134370\pi$
$389$	4.74672	+	6.53330i	0.240668	+	0.331252i	−0.671548	+	0.740961i	$0.734370\pi$
$390$	1.34443	+	1.44099i	0.0680779	+	0.0729675i
$391$	10.0499	+	3.26541i	0.508245	+	0.165139i
$392$	3.36381	+	6.13879i	0.169898	+	0.310056i
$393$	−2.28893	+	0.362531i	−0.115461	+	0.0182873i
$394$	−13.7049	+	4.45298i	−0.690442	+	0.224338i
$395$	−4.06377	−	14.1585i	−0.204470	−	0.712391i
$396$	−0.101343	+	9.83278i	−0.00509268	+	0.494116i
$397$	−27.2158	+	27.2158i	−1.36592	+	1.36592i	−0.499750	+	0.866170i	$0.666575\pi$
$397$	−27.2158	+	27.2158i	−1.36592	+	1.36592i	−0.866170	+	0.499750i	$0.833425\pi$
$398$	7.17685	−	14.0854i	0.359743	−	0.706036i
$399$	1.54689	−	0.817669i	0.0774412	−	0.0409346i
$400$	1.87068	−	4.63687i	0.0935341	−	0.231843i
$401$	8.73055	−	26.8699i	0.435983	−	1.34182i	−0.456093	−	0.889932i	$-0.650752\pi$
$401$	8.73055	−	26.8699i	0.435983	−	1.34182i	0.892076	−	0.451885i	$-0.149248\pi$
$402$	−0.245517	−	0.481855i	−0.0122453	−	0.0240327i
$403$	1.04894	−	6.62275i	0.0522515	−	0.329903i
$404$	13.8411	+	10.0561i	0.688619	+	0.500311i
$405$	10.8636	+	16.0972i	0.539818	+	0.799876i
$406$	6.83689	+	3.35521i	0.339309	+	0.166516i
$407$	−4.96166	−	9.99104i	−0.245940	−	0.495237i
$408$	0.850123	−	0.850123i	0.0420873	−	0.0420873i
$409$	−3.61057	−	11.1122i	−0.178531	−	0.549463i	0.821246	−	0.570575i	$-0.193279\pi$
$409$	−3.61057	−	11.1122i	−0.178531	−	0.549463i	−0.999777	+	0.0211117i	$0.993279\pi$
$410$	13.4830	−	6.29139i	0.665878	−	0.310710i
$411$	−0.911390	−	1.25442i	−0.0449555	−	0.0618760i
$412$	2.09212	+	4.10602i	0.103071	+	0.202289i
$413$	−18.3237	+	0.275206i	−0.901649	+	0.0135420i
$414$	2.87164	+	3.95248i	0.141134	+	0.194254i
$415$	3.84855	+	8.24777i	0.188918	+	0.404867i
$416$	−4.47103	+	1.45273i	−0.219210	+	0.0712258i
$417$	−2.49281	−	2.49281i	−0.122073	−	0.122073i
$418$	10.3689	+	5.41852i	0.507157	+	0.265028i
$419$	26.9644			1.31730			0.658650	−	0.752450i	$-0.271128\pi$
$419$	26.9644			1.31730			0.658650	+	0.752450i	$0.271128\pi$
$420$	−0.151965	−	1.09868i	−0.00741514	−	0.0536099i
$421$	21.2650	+	15.4499i	1.03639	+	0.752982i	0.969578	−	0.244783i	$-0.0787169\pi$
$421$	21.2650	+	15.4499i	1.03639	+	0.752982i	0.0668131	+	0.997766i	$0.478717\pi$
$422$	−10.7072	−	1.69585i	−0.521217	−	0.0825526i
$423$	−6.87457	+	3.50277i	−0.334253	+	0.170310i
$424$	11.6217	+	3.77613i	0.564401	+	0.183385i
$425$	−12.5433	−	29.5086i	−0.608440	−	1.43138i
$426$	−1.44304	+	1.98617i	−0.0699153	+	0.0962302i
$427$	15.3119	+	20.4228i	0.740994	+	0.988330i
$428$	−9.01013	+	9.01013i	−0.435521	+	0.435521i
$429$	0.874598	+	2.78923i	0.0422260	+	0.134665i
$430$	0.603360	−	0.173176i	0.0290966	−	0.00835129i
$431$	−7.28500	−	22.4209i	−0.350906	−	1.07998i	−0.958345	−	0.285612i	$-0.907803\pi$
$431$	−7.28500	−	22.4209i	−0.350906	−	1.07998i	0.607439	−	0.794366i	$-0.292197\pi$
$432$	1.10451	−	0.174937i	0.0531408	−	0.00841668i
$433$	−6.73868	−	1.06730i	−0.323840	−	0.0512913i	−0.00760217	−	0.999971i	$-0.502420\pi$
$433$	−6.73868	−	1.06730i	−0.323840	−	0.0512913i	−0.316238	+	0.948680i	$0.602420\pi$
$434$	−2.62803	+	2.70817i	−0.126149	+	0.129997i
$435$	−0.823197	−	0.882322i	−0.0394693	−	0.0423041i
$436$	−13.3420	+	9.69356i	−0.638968	+	0.464237i
$437$	5.74106	−	0.909295i	0.274632	−	0.0434975i
$438$	−0.253247	−	0.129036i	−0.0121006	−	0.00616558i
$439$	−35.4775			−1.69325			−0.846623	−	0.532193i	$-0.821368\pi$
$439$	−35.4775			−1.69325			−0.846623	+	0.532193i	$0.821368\pi$
$440$	5.47443	−	5.00306i	0.260983	−	0.238511i
$441$	12.6976	+	16.4164i	0.604648	+	0.781733i
$442$	−13.6866	+	26.8614i	−0.651003	+	1.27767i
$443$	12.5448	−	1.98690i	0.596021	−	0.0944004i	0.148867	−	0.988857i	$-0.452438\pi$
$443$	12.5448	−	1.98690i	0.596021	−	0.0944004i	0.447154	+	0.894457i	$0.352438\pi$
$444$	−0.510141	+	0.370639i	−0.0242102	+	0.0175897i
$445$	−0.0343731	+	0.991522i	−0.00162944	+	0.0470027i
$446$	26.3186	+	8.55143i	1.24622	+	0.404922i
$447$	−0.283861	+	1.79222i	−0.0134261	+	0.0847693i
$448$	2.52825	+	0.779702i	0.119449	+	0.0368375i
$449$	16.4908	−	5.35819i	0.778249	−	0.252869i	0.107157	−	0.994242i	$-0.465825\pi$
$449$	16.4908	−	5.35819i	0.778249	−	0.252869i	0.671093	+	0.741374i	$0.265825\pi$
$450$	3.32741	−	14.4460i	0.156856	−	0.680991i
$451$	22.0674	+	0.227441i	1.03911	+	0.0107098i
$452$	−4.53497	−	4.53497i	−0.213307	−	0.213307i
$453$	−0.869285	+	1.70607i	−0.0408426	+	0.0801580i
$454$	19.5316	+	14.1905i	0.916662	+	0.665994i
$455$	12.1375	+	25.0240i	0.569015	+	1.17314i
$456$	0.204360	−	0.628956i	0.00957004	−	0.0294536i
$457$	1.83399	−	0.934465i	0.0857904	−	0.0437124i	−0.410569	−	0.911830i	$-0.634670\pi$
$457$	1.83399	−	0.934465i	0.0857904	−	0.0437124i	0.496359	+	0.868117i	$0.334670\pi$
$458$	0.711554	+	0.112699i	0.0332487	+	0.00526608i
$459$	4.21517	−	5.80168i	0.196747	−	0.270799i
$460$	0.702144	−	3.61711i	0.0327376	−	0.168649i
$461$			14.6989i			0.684597i	0.939591	+	0.342298i	$0.111205\pi$
$461$			14.6989i			0.684597i	−0.939591	+	0.342298i	$0.888795\pi$
$462$	0.500991	−	1.56697i	0.0233082	−	0.0729022i
$463$	−19.5170	+	19.5170i	−0.907030	+	0.907030i	−0.996031	−	0.0890015i	$-0.971632\pi$
$463$	−19.5170	+	19.5170i	−0.907030	+	0.907030i	0.0890015	+	0.996031i	$0.471632\pi$
$464$	2.73762	−	0.889506i	0.127091	−	0.0412943i
$465$	0.541848	−	0.252835i	0.0251276	−	0.0117249i
$466$	−9.54660	+	6.93601i	−0.442238	+	0.321304i
$467$	−7.79373	−	15.2961i	−0.360651	−	0.707817i	0.637380	−	0.770550i	$-0.280018\pi$
$467$	−7.79373	−	15.2961i	−0.360651	−	0.707817i	−0.998030	+	0.0627331i	$0.980018\pi$
$468$	−12.4190	+	6.32778i	−0.574067	+	0.292502i
$469$	−1.30696	−	7.51918i	−0.0603499	−	0.347203i
$470$	5.46855	+	1.98882i	0.252245	+	0.0917375i
$471$	0.373567	+	1.14972i	0.0172131	+	0.0529764i
$472$	−4.89776	+	4.89776i	−0.225438	+	0.225438i
$473$	0.918047	+	0.155120i	0.0422118	+	0.00713241i
$474$	−1.23502			−0.0567262
$475$	−13.5167	−	11.3302i	−0.620191	−	0.519866i
$476$	15.0000	−	7.92883i	0.687523	−	0.363417i
$477$	35.7839	+	5.66761i	1.63843	+	0.259502i
$478$	7.32149	+	14.3692i	0.334877	+	0.657233i
$479$	−9.85702	+	30.3368i	−0.450379	+	1.38612i	0.426098	+	0.904677i	$0.359888\pi$
$479$	−9.85702	+	30.3368i	−0.450379	+	1.38612i	−0.876476	+	0.481445i	$0.840112\pi$
$480$	−0.330410	−	0.258010i	−0.0150811	−	0.0117765i
$481$	9.29398	−	12.7921i	0.423769	−	0.583268i
$482$	6.90274	+	3.51712i	0.314411	+	0.160200i
$483$	−0.264221	−	0.773466i	−0.0120225	−	0.0351939i
$484$	10.5295	−	3.18284i	0.478612	−	0.144675i
$485$	9.48239	−	17.1169i	0.430573	−	0.777239i
$486$	4.73918	−	1.53985i	0.214974	−	0.0698491i
$487$	0.799068	+	5.04511i	0.0362092	+	0.228616i	0.999156	−	0.0410753i	$-0.0130784\pi$
$487$	0.799068	+	5.04511i	0.0362092	+	0.228616i	−0.962947	+	0.269691i	$0.913078\pi$
$488$	9.52891	+	1.50923i	0.431354	+	0.0683197i
$489$	−0.437542	+	1.34662i	−0.0197863	+	0.0608961i
$490$	2.51994	−	15.4483i	0.113839	−	0.697883i
$491$	13.9489	−	10.1345i	0.629506	−	0.457363i	−0.226723	−	0.973959i	$-0.572801\pi$
$491$	13.9489	−	10.1345i	0.629506	−	0.457363i	0.856229	+	0.516596i	$0.172801\pi$
$492$	−0.195146	−	1.23211i	−0.00879788	−	0.0555476i
$493$	8.38030	−	16.4473i	0.377430	−	0.740747i
$494$			16.5831i			0.746107i
$495$	13.7106	−	17.1898i	0.616246	−	0.772623i
$496$			1.42632i			0.0640437i
$497$	−27.7205	+	20.7832i	−1.24343	+	0.932255i
$498$	0.753699	−	0.119374i	0.0337741	−	0.00534929i
$499$	−5.33744	−	7.34636i	−0.238937	−	0.328868i	0.672662	−	0.739950i	$-0.265151\pi$
$499$	−5.33744	−	7.34636i	−0.238937	−	0.328868i	−0.911598	+	0.411082i	$0.865151\pi$
$500$	−9.67821	+	5.59753i	−0.432822	+	0.250329i
$501$	−0.874453	+	2.69129i	−0.0390677	+	0.120238i
$502$	−0.652117	+	4.11730i	−0.0291054	+	0.183764i
$503$	2.05305	+	12.9624i	0.0915408	+	0.577966i	0.990237	+	0.139394i	$0.0445155\pi$
$503$	2.05305	+	12.9624i	0.0915408	+	0.577966i	−0.898696	+	0.438572i	$0.855485\pi$
$504$	7.76524	+	1.11062i	0.345891	+	0.0494711i
$505$	−10.5540	−	36.7712i	−0.469649	−	1.63630i
$506$	3.25776	−	4.38809i	0.144825	−	0.195074i
$507$	−1.20643	+	1.20643i	−0.0535795	+	0.0535795i
$508$	−19.2516	−	9.80918i	−0.854151	−	0.435212i
$509$	−23.8701	−	17.3426i	−1.05802	−	0.768698i	−0.0843005	−	0.996440i	$-0.526866\pi$
$509$	−23.8701	−	17.3426i	−1.05802	−	0.768698i	−0.973721	+	0.227742i	$0.926866\pi$
$510$	−2.66820	+	0.328301i	−0.118150	+	0.0145374i
$511$	−2.87854	−	2.79336i	−0.127339	−	0.123571i
$512$	0.891007	−	0.453990i	0.0393773	−	0.0200637i
$513$	0.617087	−	3.89613i	0.0272450	−	0.172018i
$514$	−20.9002	−	15.1849i	−0.921868	−	0.669777i
$515$	1.96362	−	10.1156i	0.0865274	−	0.445748i
$516$		−	0.0526298i		−	0.00231690i
$517$	6.03977	+	6.16557i	0.265629	+	0.271161i
$518$	−8.42100	+	2.87666i	−0.369997	+	0.126393i
$519$	−1.78039	+	0.578483i	−0.0781503	+	0.0253926i
$520$	9.87898	+	3.59282i	0.433222	+	0.157556i
$521$	−1.34747	−	1.85463i	−0.0590337	−	0.0812529i	0.778479	−	0.627670i	$-0.215991\pi$
$521$	−1.34747	−	1.85463i	−0.0590337	−	0.0812529i	−0.837513	+	0.546417i	$0.815991\pi$
$522$	7.60415	−	3.87451i	0.332825	−	0.169583i
$523$	10.1214	−	5.15709i	0.442576	−	0.225504i	−0.218478	−	0.975842i	$-0.570109\pi$
$523$	10.1214	−	5.15709i	0.442576	−	0.225504i	0.661054	+	0.750338i	$0.270109\pi$
$524$	−10.0005	+	7.26576i	−0.436872	+	0.317406i
$525$	−1.24419	+	2.14544i	−0.0543009	+	0.0936345i
$526$	−1.92686	−	5.93027i	−0.0840152	−	0.258572i
$527$	6.46768	+	6.46768i	0.281736	+	0.281736i
$528$	−0.276564	−	0.556903i	−0.0120359	−	0.0242361i
$529$			20.2847i			0.881943i
$530$	−15.2853	−	22.6490i	−0.663951	−	0.983810i
$531$	−12.0707	+	16.6140i	−0.523826	+	0.720984i
$532$	5.37168	−	7.63193i	0.232892	−	0.330886i
$533$	14.2012	+	27.8714i	0.615123	+	1.20725i
$534$	0.0791107	+	0.0257046i	0.00342345	+	0.00111235i
$535$	28.2793	−	3.47953i	1.22262	−	0.150433i
$536$	−2.33369	−	1.69552i	−0.100800	−	0.0732354i
$537$	2.82466	+	1.43924i	0.121893	+	0.0621076i
$538$	−19.5031	−	19.5031i	−0.840837	−	0.840837i
$539$	13.2730	−	19.0480i	0.571710	−	0.820456i
$540$	−2.18734	−	1.21174i	−0.0941280	−	0.0521448i
$541$	−12.7675	−	39.2944i	−0.548919	−	1.68940i	−0.711484	−	0.702702i	$-0.751977\pi$
$541$	−12.7675	−	39.2944i	−0.548919	−	1.68940i	0.162565	−	0.986698i	$-0.448023\pi$
$542$	24.4758	−	3.87658i	1.05133	−	0.166514i
$543$	0.278446	−	1.75804i	0.0119493	−	0.0754448i
$544$	1.98166	−	6.09891i	0.0849628	−	0.261489i
$545$	36.8544	+	1.27763i	1.57867	+	0.0547277i
$546$	2.29741	−	0.399328i	0.0983199	−	0.0170897i
$547$	2.15811	+	13.6258i	0.0922743	+	0.582597i	0.989892	+	0.141822i	$0.0452962\pi$
$547$	2.15811	+	13.6258i	0.0922743	+	0.582597i	−0.897618	+	0.440774i	$0.854704\pi$
$548$	−7.36912	−	3.75475i	−0.314793	−	0.160395i
$549$	28.6040			1.22079
$550$	−16.5334	+	1.28336i	−0.704986	+	0.0547227i
$551$		−	10.1538i		−	0.432568i
$552$	−0.275258	−	0.140251i	−0.0117158	−	0.00596948i
$553$	−16.6549	−	5.13630i	−0.708239	−	0.218418i
$554$	−6.96424	−	9.58545i	−0.295882	−	0.407247i
$555$	1.40915	+	0.0488510i	0.0598150	+	0.00207361i
$556$	−17.8838	−	5.81079i	−0.758441	−	0.246432i
$557$	−40.3216	−	6.38631i	−1.70848	−	0.270597i	−0.775716	−	0.631082i	$-0.782611\pi$
$557$	−40.3216	−	6.38631i	−1.70848	−	0.270597i	−0.932765	+	0.360485i	$0.882611\pi$
$558$	0.661535	+	4.17677i	0.0280050	+	0.176817i
$559$	0.407817	+	1.25513i	0.0172488	+	0.0530864i
$560$	−3.38274	−	4.85356i	−0.142947	−	0.205100i
$561$	−3.77937	−	1.27120i	−0.159565	−	0.0536702i
$562$	5.92321	+	5.92321i	0.249855	+	0.249855i
$563$	−9.02289	+	17.7084i	−0.380269	+	0.746321i	−0.999235	−	0.0390970i	$-0.987552\pi$
$563$	−9.02289	+	17.7084i	−0.380269	+	0.746321i	0.618966	+	0.785418i	$0.287552\pi$
$564$	0.286768	−	0.394702i	0.0120751	−	0.0166200i
$565$	1.75132	+	14.2335i	0.0736784	+	0.598808i
$566$	17.5303	+	5.69594i	0.736854	+	0.239418i
$567$	22.9755	−	0.345072i	0.964880	−	0.0144917i
$568$	−2.04852	+	12.9338i	−0.0859540	+	0.542692i
$569$	−7.27902	+	10.0187i	−0.305153	+	0.420006i	−0.933862	−	0.357634i	$-0.883584\pi$
$569$	−7.27902	+	10.0187i	−0.305153	+	0.420006i	0.628709	+	0.777640i	$0.283584\pi$
$570$	−1.22574	+	0.827225i	−0.0513407	+	0.0346487i
$571$	−22.1773			−0.928093			−0.464046	−	0.885811i	$-0.653603\pi$
$571$	−22.1773			−0.928093			−0.464046	+	0.885811i	$0.653603\pi$
$572$	10.9109	+	11.1381i	0.456207	+	0.465709i
$573$	3.00063	+	3.00063i	0.125353	+	0.125353i
$574$	2.49254	−	17.4273i	0.104036	−	0.727400i
$575$	−6.21538	+	5.40848i	−0.259199	+	0.225549i
$576$	2.39862	−	1.74270i	0.0999423	−	0.0726123i
$577$	2.24942	+	4.41473i	0.0936444	+	0.183787i	0.933077	−	0.359676i	$-0.117113\pi$
$577$	2.24942	+	4.41473i	0.0936444	+	0.183787i	−0.839433	+	0.543463i	$0.817113\pi$
$578$	−10.9519	−	21.4943i	−0.455540	−	0.894047i
$579$	1.29085	−	0.937860i	0.0536460	−	0.0389761i
$580$	−6.04892	−	2.19989i	−0.251168	−	0.0913454i
$581$	10.6605	+	1.52472i	0.442274	+	0.0632562i
$582$	−1.16010	−	1.16010i	−0.0480878	−	0.0480878i
$583$	−5.92717	−	40.0927i	−0.245478	−	1.66047i
$584$	−1.51605			−0.0627346
$585$	30.5955	+	5.93911i	1.26497	+	0.245552i
$586$	−18.6390	+	25.6544i	−0.769969	+	1.05977i
$587$	6.10652	−	38.5551i	0.252043	−	1.59134i	−0.459161	−	0.888353i	$-0.651850\pi$
$587$	6.10652	−	38.5551i	0.252043	−	1.59134i	0.711204	−	0.702985i	$-0.248150\pi$
$588$	−1.18667	−	0.560408i	−0.0489376	−	0.0231108i
$589$	4.78505	+	1.55476i	0.197165	+	0.0640627i
$590$	15.3721	−	1.89142i	0.632861	−	0.0778684i
$591$	1.58795	−	2.18563i	0.0653197	−	0.0899049i
$592$	−1.52696	+	2.99683i	−0.0627578	+	0.123169i
$593$	−10.9656	−	10.9656i	−0.450303	−	0.450303i	0.445152	−	0.895455i	$-0.353150\pi$
$593$	−10.9656	−	10.9656i	−0.450303	−	0.450303i	−0.895455	+	0.445152i	$0.853150\pi$
$594$	−2.14900	−	3.02288i	−0.0881747	−	0.124030i
$595$	−37.3477	−	6.66945i	−1.53110	−	0.273421i
$596$	2.99092	+	9.20509i	0.122513	+	0.377055i
$597$	0.463629	+	2.92724i	0.0189751	+	0.119804i
$598$	7.65121	+	1.21183i	0.312881	+	0.0495555i
$599$	−36.6227	−	11.8995i	−1.49636	−	0.486198i	−0.557409	−	0.830238i	$-0.688205\pi$
$599$	−36.6227	−	11.8995i	−1.49636	−	0.486198i	−0.938955	+	0.344039i	$0.888205\pi$
$600$	0.227236	+	0.909431i	0.00927689	+	0.0371274i
$601$	−14.9715	−	20.6065i	−0.610699	−	0.840555i	0.385936	−	0.922526i	$-0.373879\pi$
$601$	−14.9715	−	20.6065i	−0.610699	−	0.840555i	−0.996635	+	0.0819707i	$0.973879\pi$
$602$	0.218882	−	0.709744i	0.00892096	−	0.0289270i
$603$	−7.62024	−	3.88271i	−0.310320	−	0.158116i
$604$			10.2133i			0.415572i
$605$	−22.9373	−	8.88138i	−0.932535	−	0.361079i
$606$	−3.20747			−0.130295
$607$	29.8155	+	15.1918i	1.21017	+	0.616615i	0.938335	−	0.345728i	$-0.112368\pi$
$607$	29.8155	+	15.1918i	1.21017	+	0.616615i	0.271839	+	0.962343i	$0.412368\pi$
$608$	−0.551818	−	3.48404i	−0.0223792	−	0.141297i
$609$	−1.40671	+	0.244509i	−0.0570026	+	0.00990802i
$610$	−14.7167	−	15.7737i	−0.595861	−	0.638658i
$611$	−3.78047	+	11.6351i	−0.152941	+	0.470705i
$612$	2.97428	−	18.7788i	0.120228	−	0.759090i
$613$	22.7973	−	3.61074i	0.920774	−	0.145836i	0.321987	−	0.946744i	$-0.395649\pi$
$613$	22.7973	−	3.61074i	0.920774	−	0.145836i	0.598788	+	0.800908i	$0.295649\pi$
$614$	4.98300	+	15.3361i	0.201098	+	0.618915i
$615$	−1.35172	+	2.44002i	−0.0545065	+	0.0983911i
$616$	−1.41353	−	8.66037i	−0.0569527	−	0.348936i
$617$	−10.8395	−	10.8395i	−0.436382	−	0.436382i	0.454410	−	0.890792i	$-0.349850\pi$
$617$	−10.8395	−	10.8395i	−0.436382	−	0.436382i	−0.890792	+	0.454410i	$0.849850\pi$
$618$	−0.769789	−	0.392227i	−0.0309655	−	0.0157777i
$619$	2.61503	+	1.89993i	0.105107	+	0.0763645i	0.639097	−	0.769126i	$-0.279308\pi$
$619$	2.61503	+	1.89993i	0.105107	+	0.0763645i	−0.533990	+	0.845491i	$0.679308\pi$
$620$	1.96292	−	2.51374i	0.0788329	−	0.100954i
$621$	−1.75253	−	0.569432i	−0.0703266	−	0.0228505i
$622$	−1.30901	−	2.56908i	−0.0524865	−	0.103011i
$623$	0.959951	+	0.675655i	0.0384596	+	0.0270696i
$624$	0.518049	−	0.713033i	0.0207386	−	0.0285442i
$625$	24.7602	+	3.45423i	0.990409	+	0.138169i
$626$			8.14201i			0.325420i
$627$	−2.16978	+	0.320773i	−0.0866526	+	0.0128104i
$628$	4.55954	+	4.55954i	0.181945	+	0.181945i
$629$	6.66515	+	20.5132i	0.265757	+	0.817916i
$630$	−12.1570	−	12.6440i	−0.484345	−	0.503749i
$631$	−4.40913	+	3.20342i	−0.175525	+	0.127526i	−0.672079	−	0.740480i	$-0.734598\pi$
$631$	−4.40913	+	3.20342i	−0.175525	+	0.127526i	0.496554	+	0.868006i	$0.334598\pi$
$632$	−5.86952	+	2.99067i	−0.233477	+	0.118963i
$633$	1.81086	−	0.922682i	0.0719754	−	0.0366733i
$634$	10.9125	+	15.0198i	0.433392	+	0.596513i
$635$	20.4294	+	43.7820i	0.810715	+	1.73743i
$636$	−2.17882	+	0.707941i	−0.0863958	+	0.0280717i
$637$	32.6426	+	4.16949i	1.29335	+	0.165201i
$638$	−6.68076	−	6.81990i	−0.264494	−	0.270003i
$639$			38.8249i			1.53589i
$640$	−2.19509	−	0.426106i	−0.0867687	−	0.0168433i
$641$	−27.7628	−	20.1709i	−1.09656	−	0.796701i	−0.116069	−	0.993241i	$-0.537029\pi$
$641$	−27.7628	−	20.1709i	−1.09656	−	0.796701i	−0.980496	+	0.196540i	$0.937029\pi$
$642$	0.373705	−	2.35948i	0.0147490	−	0.0931214i
$643$	−16.8687	+	8.59504i	−0.665238	+	0.338955i	−0.753789	−	0.657116i	$-0.771776\pi$
$643$	−16.8687	+	8.59504i	−0.665238	+	0.338955i	0.0885518	+	0.996072i	$0.471776\pi$
$644$	−3.12873	−	3.03614i	−0.123289	−	0.119641i
$645$	−0.0724299	+	0.0927545i	−0.00285193	+	0.00365221i
$646$	−18.3007	−	13.2962i	−0.720030	−	0.523133i
$647$	31.4828	+	16.0413i	1.23772	+	0.630648i	0.945475	−	0.325696i	$-0.105599\pi$
$647$	31.4828	+	16.0413i	1.23772	+	0.630648i	0.292243	+	0.956344i	$0.405599\pi$
$648$	6.14115	−	6.14115i	0.241247	−	0.241247i
$649$	21.7738	+	7.32369i	0.854698	+	0.287480i
$650$	−12.4662	−	19.9276i	−0.488964	−	0.781623i
$651$	0.100169	−	0.700357i	0.00392592	−	0.0274492i
$652$	1.18146	+	7.45945i	0.0462696	+	0.292135i
$653$	−1.14547	+	7.23223i	−0.0448258	+	0.283019i	−0.999911	−	0.0133110i	$-0.995763\pi$
$653$	−1.14547	+	7.23223i	−0.0448258	+	0.283019i	0.955086	+	0.296330i	$0.0957629\pi$
$654$	0.955427	−	2.94050i	0.0373602	−	0.114983i
$655$	27.6240	+	0.957642i	1.07936	+	0.0374182i
$656$	−3.91107	−	5.38313i	−0.152702	−	0.210176i
$657$	−4.43952	+	0.703152i	−0.173202	+	0.0274326i
$658$	5.50876	−	4.13016i	0.214754	−	0.161010i
$659$		−	40.0575i		−	1.56042i	−0.625519	−	0.780209i	$-0.715113\pi$
$659$		−	40.0575i		−	1.56042i	0.625519	−	0.780209i	$-0.284887\pi$
$660$	−0.279003	+	1.36209i	−0.0108602	+	0.0530194i
$661$		−	31.5388i		−	1.22672i	−0.789805	−	0.613358i	$-0.789818\pi$
$661$		−	31.5388i		−	1.22672i	0.789805	−	0.613358i	$-0.210182\pi$
$662$	−10.5997	+	20.8031i	−0.411970	+	0.808536i
$663$	−0.884159	−	5.58236i	−0.0343379	−	0.216801i
$664$	3.29295	−	2.39247i	0.127791	−	0.0928458i
$665$	−19.9702	+	6.05789i	−0.774411	+	0.234915i
$666$	−3.08153	+	9.48399i	−0.119407	+	0.367497i
$667$	−4.68485	−	0.742007i	−0.181398	−	0.0287306i
$668$	2.36122	+	14.9081i	0.0913582	+	0.576813i
$669$	−4.93416	+	1.60321i	−0.190766	+	0.0619836i
$670$	1.77947	+	6.19983i	0.0687471	+	0.239520i
$671$	−9.57370	−	30.5320i	−0.369589	−	1.17867i
$672$	−0.469389	+	0.160346i	−0.0181071	+	0.00618548i
$673$	7.62686	+	3.88608i	0.293994	+	0.149797i	0.594767	−	0.803898i	$-0.297244\pi$
$673$	7.62686	+	3.88608i	0.293994	+	0.149797i	−0.300773	+	0.953696i	$0.597244\pi$
$674$	−1.19400	+	1.64340i	−0.0459912	+	0.0633014i
$675$	2.18734	+	5.14580i	0.0841908	+	0.198062i
$676$	−2.81222	+	8.65512i	−0.108162	+	0.332889i
$677$	−18.6055	−	36.5154i	−0.715068	−	1.40340i	−0.906633	−	0.421920i	$-0.861356\pi$
$677$	−18.6055	−	36.5154i	−0.715068	−	1.40340i	0.191565	−	0.981480i	$-0.438644\pi$
$678$	1.18757	+	0.188093i	0.0456085	+	0.00722367i
$679$	−10.8199	−	20.4694i	−0.415230	−	0.785543i
$680$	−11.8859	+	8.02150i	−0.455802	+	0.307611i
$681$	−4.52616			−0.173443
$682$	4.23688	−	2.10408i	0.162239	−	0.0805694i
$683$	−12.4768	+	12.4768i	−0.477413	+	0.477413i	−0.904303	−	0.426891i	$-0.859609\pi$
$683$	−12.4768	+	12.4768i	−0.477413	+	0.477413i	0.426891	+	0.904303i	$0.359609\pi$
$684$	−3.23183	−	9.94655i	−0.123572	−	0.380316i
$685$	7.81995	+	16.7588i	0.298785	+	0.640323i
$686$	−13.6723	−	12.4927i	−0.522012	−	0.476973i
$687$	−0.120343	+	0.0613176i	−0.00459135	+	0.00233941i
$688$	−0.127447	−	0.250128i	−0.00485885	−	0.00953604i
$689$	46.4754	−	33.7664i	1.77057	−	1.28640i
$690$	0.292098	+	0.625992i	0.0111200	+	0.0238311i
$691$	−7.10972	+	2.31009i	−0.270467	+	0.0878799i	−0.441110	−	0.897453i	$-0.645415\pi$
$691$	−7.10972	+	2.31009i	−0.270467	+	0.0878799i	0.170644	+	0.985333i	$0.445415\pi$
$692$	−7.06061	+	7.06061i	−0.268404	+	0.268404i
$693$	−8.15602	−	24.7050i	−0.309822	−	0.938465i
$694$		−	7.33203i		−	0.278320i
$695$	23.5214	+	34.8528i	0.892217	+	1.32204i
$696$	−0.317202	+	0.436591i	−0.0120235	+	0.0165489i
$697$	−42.1447	−	6.67507i	−1.59634	−	0.252836i
$698$	22.6755	−	11.5537i	0.858280	−	0.437315i
$699$	0.683635	−	2.10401i	0.0258574	−	0.0795810i
$700$	−0.717814	+	13.2093i	−0.0271308	+	0.499263i
$701$	2.93718	+	2.13399i	0.110936	+	0.0805995i	0.641870	−	0.766813i	$-0.278159\pi$
$701$	2.93718	+	2.13399i	0.110936	+	0.0805995i	−0.530934	+	0.847413i	$0.678159\pi$
$702$	2.38670	−	4.68417i	0.0900803	−	0.176793i
$703$	8.38938	+	8.38938i	0.316412	+	0.316412i
$704$	−2.66297	−	1.97701i	−0.100365	−	0.0745115i
$705$	−1.04859	+	0.300967i	−0.0394923	+	0.0113351i
$706$	−8.59680	+	2.79327i	−0.323545	+	0.105126i
$707$	−43.2547	−	13.3395i	−1.62676	−	0.501685i
$708$	0.203140	−	1.28258i	0.00763447	−	0.0482021i
$709$	19.7713	+	6.42409i	0.742527	+	0.241262i	0.655763	−	0.754967i	$-0.272347\pi$
$709$	19.7713	+	6.42409i	0.742527	+	0.241262i	0.0867647	+	0.996229i	$0.472347\pi$
$710$	21.4100	−	19.9753i	0.803505	−	0.749661i
$711$	−15.8009	+	11.4800i	−0.592581	+	0.430535i
$712$	0.438226	−	0.0694082i	0.0164232	−	0.00260118i
$713$	1.06702	−	2.09415i	0.0399603	−	0.0784264i
$714$	−1.40136	+	2.85554i	−0.0524445	+	0.106866i
$715$	−3.90082	−	34.6455i	−0.145883	−	1.29567i
$716$	16.9097			0.631943
$717$	−2.69392	−	1.37262i	−0.100606	−	0.0512614i
$718$	10.2397	−	1.62182i	0.382144	−	0.0605257i
$719$	−27.3343	+	19.8595i	−1.01940	+	0.740635i	−0.966159	−	0.257947i	$-0.916954\pi$
$719$	−27.3343	+	19.8595i	−1.01940	+	0.740635i	−0.0532375	+	0.998582i	$0.516954\pi$
$720$	−6.62563	−	0.229691i	−0.246923	−	0.00856007i
$721$	−8.74983	−	8.49089i	−0.325861	−	0.316217i
$722$	6.47623	+	1.02573i	0.241020	+	0.0381739i
$723$	−1.43453	+	0.227208i	−0.0533509	+	0.00844995i
$724$	−2.93387	−	9.02952i	−0.109036	−	0.335580i
$725$	7.63306	+	12.2017i	0.283485	+	0.453159i
$726$	−1.24630	+	1.64306i	−0.0462544	+	0.0609798i
$727$	15.9459	−	15.9459i	0.591401	−	0.591401i	−0.346609	−	0.938010i	$-0.612667\pi$
$727$	15.9459	−	15.9459i	0.591401	−	0.591401i	0.938010	+	0.346609i	$0.112667\pi$
$728$	9.95163	−	7.46116i	0.368832	−	0.276529i
$729$	14.7655	−	20.3229i	0.546869	−	0.752700i
$730$	2.67188	+	2.08641i	0.0988906	+	0.0772215i
$731$	−1.71212	−	0.556301i	−0.0633249	−	0.0205755i
$732$	−1.61159	+	0.821147i	−0.0595661	+	0.0303505i
$733$	4.86455	+	0.770468i	0.179676	+	0.0284579i	0.245624	−	0.969365i	$-0.421007\pi$
$733$	4.86455	+	0.770468i	0.179676	+	0.0284579i	−0.0659479	+	0.997823i	$0.521007\pi$
$734$	−11.2462	−	8.17084i	−0.415105	−	0.301591i
$735$	1.32015	+	2.62078i	0.0486944	+	0.0966689i
$736$	−1.64782			−0.0607393
$737$	−1.59393	+	9.43341i	−0.0587133	+	0.347484i
$738$	−13.9497	−	13.9497i	−0.513496	−	0.513496i
$739$	25.1584	−	8.17448i	0.925468	−	0.300703i	0.192760	−	0.981246i	$-0.438256\pi$
$739$	25.1584	−	8.17448i	0.925468	−	0.300703i	0.732708	+	0.680543i	$0.238256\pi$
$740$	6.81540	−	3.18017i	0.250539	−	0.116906i
$741$	−1.82740	−	2.51520i	−0.0671313	−	0.0923983i
$742$	−32.3269	+	0.485522i	−1.18676	+	0.0178241i
$743$	−2.84914	−	5.59175i	−0.104525	−	0.205142i	0.832821	−	0.553543i	$-0.186725\pi$
$743$	−2.84914	−	5.59175i	−0.104525	−	0.205142i	−0.937345	+	0.348402i	$0.886725\pi$
$744$	−0.157176	−	0.216334i	−0.00576236	−	0.00793120i
$745$	7.39701	−	20.3391i	0.271005	−	0.745169i
$746$	−9.48235	−	29.1837i	−0.347174	−	1.06849i
$747$	8.53327	−	8.53327i	0.312216	−	0.312216i
$748$	−21.0401	+	3.11049i	−0.769302	+	0.113731i
$749$	14.8525	−	30.2648i	0.542698	−	1.10585i
$750$	0.851092	−	1.91550i	0.0310775	−	0.0699443i
$751$	1.73394	+	1.25978i	0.0632724	+	0.0459701i	0.618972	−	0.785413i	$-0.287549\pi$
$751$	1.73394	+	1.25978i	0.0632724	+	0.0459701i	−0.555699	+	0.831383i	$0.687549\pi$
$752$	0.407093	−	2.57029i	0.0148452	−	0.0937287i
$753$	−0.354806	−	0.696345i	−0.0129298	−	0.0253762i
$754$	4.18168	−	12.8699i	0.152288	−	0.468693i
$755$	14.0556	−	17.9998i	0.511537	−	0.655080i
$756$	−2.61574	+	1.38265i	−0.0951336	+	0.0502867i
$757$	−14.2071	+	27.8830i	−0.516366	+	1.01342i	0.474712	+	0.880141i	$0.342552\pi$
$757$	−14.2071	+	27.8830i	−0.516366	+	1.01342i	−0.991078	+	0.133284i	$0.957448\pi$
$758$	5.33118	−	5.33118i	0.193637	−	0.193637i
$759$	−0.0105597	+	1.02455i	−0.000383292	+	0.0371888i
$760$	−3.82227	+	6.89967i	−0.138648	+	0.250278i
$761$	−20.3981	+	6.62775i	−0.739431	+	0.240256i	−0.654427	−	0.756125i	$-0.727090\pi$
$761$	−20.3981	+	6.62775i	−0.739431	+	0.240256i	−0.0850040	+	0.996381i	$0.527090\pi$
$762$	4.00089	−	0.633678i	0.144937	−	0.0229557i
$763$	25.1137	−	35.6809i	0.909179	−	1.29173i
$764$	21.5270	+	6.99455i	0.778820	+	0.253054i
$765$	−31.0856	+	29.0025i	−1.12390	+	1.04859i
$766$	−1.46428	−	2.01541i	−0.0529066	−	0.0728196i
$767$	5.09385	+	32.1613i	0.183928	+	1.16128i
$768$	−0.0851133	+	0.167044i	−0.00307126	+	0.00602769i
$769$	14.0414			0.506346			0.253173	−	0.967421i	$-0.418526\pi$
$769$	14.0414			0.506346			0.253173	+	0.967421i	$0.418526\pi$
$770$	−9.42733	+	17.2083i	−0.339737	+	0.620144i
$771$	4.84332			0.174428
$772$	3.86381	−	7.58315i	0.139061	−	0.272924i
$773$	3.32103	+	20.9682i	0.119449	+	0.754173i	0.972596	+	0.232502i	$0.0746912\pi$
$773$	3.32103	+	20.9682i	0.119449	+	0.754173i	−0.853147	+	0.521671i	$0.825309\pi$
$774$	−0.489219	−	0.673352i	−0.0175846	−	0.0242031i
$775$	−6.91889	+	1.72880i	−0.248534	+	0.0621003i
$776$	−8.32275	−	2.70422i	−0.298769	−	0.0970760i
$777$	0.960239	−	1.36428i	0.0344484	−	0.0489433i
$778$	−7.97618	+	1.26330i	−0.285960	+	0.0452916i
$779$	−22.3227	+	7.25309i	−0.799794	+	0.259869i
$780$	−1.89429	+	0.543699i	−0.0678266	+	0.0194676i
$781$	41.4419	−	12.9946i	1.48291	−	0.464985i
$782$	−7.47205	+	7.47205i	−0.267200	+	0.267200i
$783$	−1.46138	+	2.86812i	−0.0522255	+	0.102498i
$784$	−6.99684	+	0.210221i	−0.249887	+	0.00750788i
$785$	−1.76080	−	14.3106i	−0.0628458	−	0.510767i
$786$	0.716136	−	2.20404i	0.0255437	−	0.0786155i
$787$	1.00354	+	1.96957i	0.0357725	+	0.0702074i	0.908201	−	0.418534i	$-0.137456\pi$
$787$	1.00354	+	1.96957i	0.0357725	+	0.0702074i	−0.872429	+	0.488742i	$0.837456\pi$
$788$	2.25425	−	14.2327i	0.0803042	−	0.507021i
$789$	0.945750	+	0.687128i	0.0336696	+	0.0244624i
$790$	14.4602	+	2.80698i	0.514472	+	0.0998679i
$791$	15.2329	+	7.47554i	0.541618	+	0.265800i
$792$	−8.71506	−	4.55429i	−0.309676	−	0.161829i
$793$	32.0708	−	32.0708i	1.13887	−	1.13887i
$794$	−11.8937	−	36.6051i	−0.422092	−	1.29907i
$795$	4.81422	+	1.75085i	0.170743	+	0.0620963i
$796$	9.29193	+	12.7892i	0.329344	+	0.453303i
$797$	16.1348	+	31.6663i	0.571523	+	1.12168i	0.978114	+	0.208067i	$0.0667174\pi$
$797$	16.1348	+	31.6663i	0.571523	+	1.12168i	−0.406591	+	0.913610i	$0.633283\pi$
$798$	0.0262760	+	1.74950i	0.000930160	+	0.0619316i
$799$	−9.80903	−	13.5010i	−0.347019	−	0.477630i
$800$	3.28221	+	3.77188i	0.116044	+	0.133356i
$801$	1.25109	−	0.406503i	0.0442050	−	0.0143631i
$802$	19.9776	+	19.9776i	0.705435	+	0.705435i
$803$	2.23645	+	4.50342i	0.0789225	+	0.158922i
$804$	0.540798			0.0190725
$805$	1.33568	+	9.65668i	0.0470765	+	0.340353i
$806$	5.42471	+	3.94128i	0.191077	+	0.138826i
$807$	5.10727	+	0.808912i	0.179784	+	0.0284750i
$808$	−15.2438	+	7.76710i	−0.536275	+	0.273246i
$809$	−5.06957	−	1.64720i	−0.178237	−	0.0579126i	0.218539	−	0.975828i	$-0.429871\pi$
$809$	−5.06957	−	1.64720i	−0.178237	−	0.0579126i	−0.396776	+	0.917916i	$0.629871\pi$
$810$	−19.2747	+	2.37159i	−0.677243	+	0.0833292i
$811$	−17.7397	+	24.4166i	−0.622924	+	0.857382i	−0.997562	−	0.0697896i	$-0.977767\pi$
$811$	−17.7397	+	24.4166i	−0.622924	+	0.857382i	0.374637	+	0.927171i	$0.377767\pi$
$812$	−6.09340	+	4.56848i	−0.213836	+	0.160322i
$813$	−3.28513	+	3.28513i	−0.115214	+	0.115214i
$814$	11.1546	+	0.114967i	0.390969	+	0.00402958i
$815$	8.18360	−	14.7724i	0.286659	−	0.517456i
$816$	0.371517	+	1.14341i	0.0130057	+	0.0400274i
$817$	−0.978058	+	0.154909i	−0.0342179	+	0.00541959i
$818$	11.5402	+	1.82779i	0.403494	+	0.0639071i
$819$	25.6813	−	26.4645i	0.897378	−	0.924744i
$820$	−0.515487	+	14.8697i	−0.0180016	+	0.519272i
$821$	−28.4562	+	20.6747i	−0.993129	+	0.721551i	−0.960604	−	0.277920i	$-0.910355\pi$
$821$	−28.4562	+	20.6747i	−0.993129	+	0.721551i	−0.0325252	+	0.999471i	$0.510355\pi$
$822$	1.53146	−	0.242559i	0.0534158	−	0.00846022i
$823$	11.7497	+	5.98676i	0.409568	+	0.208685i	0.646621	−	0.762811i	$-0.276181\pi$
$823$	11.7497	+	5.98676i	0.409568	+	0.208685i	−0.237053	+	0.971497i	$0.576181\pi$
$824$	−4.60829			−0.160538
$825$	2.36625	−	2.01658i	0.0823821	−	0.0702083i
$826$	8.07356	−	16.4514i	0.280915	−	0.572419i
$827$	−14.0334	+	27.5422i	−0.487990	+	0.957735i	0.507389	+	0.861717i	$0.330611\pi$
$827$	−14.0334	+	27.5422i	−0.487990	+	0.957735i	−0.995380	+	0.0960181i	$0.969389\pi$
$828$	−4.82538	+	0.764266i	−0.167694	+	0.0265601i
$829$	17.7421	−	12.8904i	0.616209	−	0.447702i	−0.235386	−	0.971902i	$-0.575635\pi$
$829$	17.7421	−	12.8904i	0.616209	−	0.447702i	0.851595	+	0.524200i	$0.175635\pi$
$830$	−9.09602	−	0.315332i	−0.315728	−	0.0109453i
$831$	2.11257	+	0.686417i	0.0732844	+	0.0238115i
$832$	0.735417	−	4.64324i	0.0254960	−	0.160975i
$833$	−30.7740	+	32.6805i	−1.06626	+	1.13231i
$834$	3.35282	−	1.08940i	0.116099	−	0.0377227i
$835$	16.3554	−	29.5235i	0.566002	−	1.02170i
$836$	−9.53530	+	6.77876i	−0.329785	+	0.234448i
$837$	−1.12785	−	1.12785i	−0.0389843	−	0.0389843i
$838$	−12.2416	+	24.0255i	−0.422879	+	0.829947i
$839$	−8.23654	−	5.98420i	−0.284357	−	0.206598i	0.436459	−	0.899724i	$-0.356233\pi$
$839$	−8.23654	−	5.98420i	−0.284357	−	0.206598i	−0.720816	+	0.693127i	$0.756233\pi$
$840$	1.04792	+	0.363387i	0.0361566	+	0.0125380i
$841$	6.40105	−	19.7004i	0.220726	−	0.679324i
$842$	−23.4201	+	11.9331i	−0.807108	+	0.411242i
$843$	−1.55111	−	0.245672i	−0.0534230	−	0.00846138i
$844$	6.37196	−	8.77025i	0.219332	−	0.301885i
$845$	16.8675	−	11.3835i	0.580261	−	0.391605i
$846$		−	7.71551i		−	0.265265i
$847$	−23.6404	+	16.9745i	−0.812293	+	0.583250i
$848$	−8.64070	+	8.64070i	−0.296723	+	0.296723i
$849$	−3.28655	+	1.06787i	−0.112794	+	0.0366490i
$850$	31.9869	+	2.22045i	1.09714	+	0.0761608i
$851$	4.48382	−	3.25769i	0.153703	−	0.111672i
$852$	−1.11456	−	2.18746i	−0.0381843	−	0.0749410i
$853$	−43.6880	+	22.2602i	−1.49585	+	0.762174i	−0.994664	−	0.103166i	$-0.967103\pi$
$853$	−43.6880	+	22.2602i	−1.49585	+	0.762174i	−0.501186	+	0.865340i	$0.667103\pi$
$854$	−25.1483	+	4.37121i	−0.860558	+	0.149580i
$855$	−7.99283	+	21.9774i	−0.273349	+	0.751613i
$856$	−3.93757	−	12.1186i	−0.134583	−	0.414205i
$857$	17.0504	−	17.0504i	0.582432	−	0.582432i	−0.353139	−	0.935571i	$-0.614886\pi$
$857$	17.0504	−	17.0504i	0.582432	−	0.582432i	0.935571	+	0.353139i	$0.114886\pi$
$858$	−2.88228	−	0.487009i	−0.0983993	−	0.0166262i
$859$	8.81544			0.300779			0.150389	−	0.988627i	$-0.451947\pi$
$859$	8.81544			0.300779			0.150389	+	0.988627i	$0.451947\pi$
$860$	−0.119619	+	0.616218i	−0.00407896	+	0.0210129i
$861$	1.54238	+	2.91791i	0.0525642	+	0.0994423i
$862$	23.2845	+	3.68791i	0.793074	+	0.125611i
$863$	14.9444	+	29.3300i	0.508712	+	0.998404i	0.992387	+	0.123156i	$0.0393017\pi$
$863$	14.9444	+	29.3300i	0.508712	+	0.998404i	−0.483675	+	0.875248i	$0.660698\pi$
$864$	−0.345567	+	1.06355i	−0.0117564	+	0.0361826i
$865$	22.1605	−	2.72667i	0.753479	−	0.0927095i
$866$	4.01027	−	5.51966i	0.136275	−	0.187566i
$867$	4.02972	+	2.05325i	0.136856	+	0.0697319i
$868$	−1.21990	−	3.57108i	−0.0414061	−	0.121210i
$869$	17.5424	+	13.0236i	0.595085	+	0.441796i
$870$	1.15988	−	0.332908i	0.0393236	−	0.0112866i
$871$	−12.8971	+	4.19053i	−0.437002	+	0.141991i
$872$	−2.57987	−	16.2886i	−0.0873653	−	0.551603i
$873$	−25.6261	−	4.05878i	−0.867314	−	0.137369i
$874$	−1.79620	+	5.52813i	−0.0607574	+	0.186992i
$875$	19.4439	−	22.2921i	0.657322	−	0.753610i
$876$	0.229944	−	0.167064i	0.00776908	−	0.00564457i
$877$	−7.14088	−	45.0857i	−0.241130	−	1.52244i	−0.749910	−	0.661540i	$-0.769903\pi$
$877$	−7.14088	−	45.0857i	−0.241130	−	1.52244i	0.508780	−	0.860897i	$-0.330097\pi$
$878$	16.1064	−	31.6106i	0.543566	−	1.06681i
$879$		−	5.94503i		−	0.200521i
$880$	1.97241	+	7.14910i	0.0664900	+	0.240996i
$881$			12.9349i			0.435789i	0.975972	+	0.217894i	$0.0699189\pi$
$881$			12.9349i			0.435789i	−0.975972	+	0.217894i	$0.930081\pi$
$882$	−20.3917	+	3.86077i	−0.686624	+	0.129999i
$883$	−51.1292	+	8.09807i	−1.72064	+	0.272522i	−0.937160	−	0.348900i	$-0.886555\pi$
$883$	−51.1292	+	8.09807i	−1.72064	+	0.272522i	−0.783476	+	0.621422i	$0.786555\pi$
$884$	−17.7201	−	24.3896i	−0.595991	−	0.820312i
$885$	−2.12311	+	1.98084i	−0.0713676	+	0.0665852i
$886$	−3.92487	+	12.0795i	−0.131859	+	0.405819i
$887$	0.616885	−	3.89486i	0.0207130	−	0.130777i	−0.975165	−	0.221480i	$-0.928911\pi$
$887$	0.616885	−	3.89486i	0.0207130	−	0.130777i	0.995878	+	0.0907030i	$0.0289114\pi$
$888$	−0.0986427	−	0.622805i	−0.00331023	−	0.0209000i
$889$	56.5897	+	8.09375i	1.89796	+	0.271456i
$890$	−0.867848	−	0.480768i	−0.0290903	−	0.0161154i
$891$	−27.3016	−	9.18296i	−0.914637	−	0.307641i
$892$	−19.5678	+	19.5678i	−0.655178	+	0.655178i
$893$	−8.17910	−	4.16746i	−0.273703	−	0.139459i
$894$	−1.46801	−	1.06657i	−0.0490977	−	0.0356716i
$895$	−29.8015	−	23.2713i	−0.996154	−	0.777874i
$896$	−1.84252	+	1.89871i	−0.0615544	+	0.0634315i
$897$	−1.29402	+	0.659337i	−0.0432062	+	0.0220146i
$898$	−2.71249	+	17.1260i	−0.0905170	+	0.571502i
$899$	−3.32156	−	2.41325i	−0.110780	−	0.0804865i
$900$	11.3609	+	9.52309i	0.378696	+	0.317436i
$901$			78.3628i			2.61064i
$902$	−10.2210	+	19.5589i	−0.340323	+	0.651241i
$903$	0.0450131	+	0.131769i	0.00149794	+	0.00438500i
$904$	6.09952	−	1.98186i	0.202867	−	0.0659155i
$905$	−7.25592	+	19.9512i	−0.241195	+	0.663201i
$906$	−1.12547	−	1.54908i	−0.0373912	−	0.0514646i
$907$	4.45781	−	2.27137i	0.148019	−	0.0754196i	−0.378412	−	0.925637i	$-0.623530\pi$
$907$	4.45781	−	2.27137i	0.148019	−	0.0754196i	0.526431	+	0.850218i	$0.323530\pi$
$908$	−21.5110	+	10.9604i	−0.713867	+	0.363734i
$909$	−41.0367	+	29.8149i	−1.36110	+	0.988899i
$910$	−27.8068	−	0.546061i	−0.921788	−	0.0181018i
$911$	−0.236551	−	0.728029i	−0.00783728	−	0.0241207i	0.947061	−	0.321052i	$-0.104037\pi$
$911$	−0.236551	−	0.728029i	−0.00783728	−	0.0241207i	−0.954899	+	0.296932i	$0.904037\pi$
$912$	0.467626	+	0.467626i	0.0154847	+	0.0154847i
$913$	−11.9645	−	6.25237i	−0.395967	−	0.206923i
$914$			2.05833i			0.0680837i
$915$	3.97033	+	0.770711i	0.131255	+	0.0254789i
$916$	−0.423454	+	0.582835i	−0.0139913	+	0.0192574i
$917$	18.8239	−	26.7444i	0.621619	−	0.883179i
$918$	3.25569	+	6.38965i	0.107454	+	0.210890i
$919$	24.1994	+	7.86286i	0.798265	+	0.259372i	0.679619	−	0.733565i	$-0.262145\pi$
$919$	24.1994	+	7.86286i	0.798265	+	0.259372i	0.118645	+	0.992937i	$0.462145\pi$
$920$	2.90410	+	2.26775i	0.0957455	+	0.0747655i
$921$	−2.44578	−	1.77696i	−0.0805912	−	0.0585529i
$922$	−13.0968	−	6.67317i	−0.431321	−	0.219769i
$923$	43.5305	+	43.5305i	1.43283	+	1.43283i
$924$	1.16874	+	1.15778i	0.0384487	+	0.0380881i
$925$	−16.3880	−	3.77472i	−0.538835	−	0.124112i
$926$	−8.52922	−	26.2503i	−0.280288	−	0.862637i
$927$	−13.4947	+	2.13735i	−0.443224	+	0.0701998i
$928$	−0.450297	+	2.84306i	−0.0147817	+	0.0933282i
$929$	14.9879	−	46.1282i	0.491739	−	1.51342i	−0.330240	−	0.943897i	$-0.607130\pi$
$929$	14.9879	−	46.1282i	0.491739	−	1.51342i	0.821978	−	0.569519i	$-0.192870\pi$
$930$	−0.0207161	+	0.597575i	−0.000679309	+	0.0195952i
$931$	−6.92164	+	23.7023i	−0.226848	+	0.776812i
$932$	−1.84596	−	11.6550i	−0.0604666	−	0.381771i
$933$	0.481646	+	0.245411i	0.0157684	+	0.00803438i
$934$	17.1672			0.561727
$935$	41.3616	+	23.4738i	1.35267	+	0.767674i
$936$		−	13.9381i		−	0.455582i
$937$	45.1973	+	23.0292i	1.47653	+	0.752331i	0.992445	−	0.122689i	$-0.0391518\pi$
$937$	45.1973	+	23.0292i	1.47653	+	0.752331i	0.484087	+	0.875020i	$0.339152\pi$
$938$	7.29299	+	2.24912i	0.238124	+	0.0734365i
$939$	−0.897225	−	1.23492i	−0.0292798	−	0.0403002i
$940$	−4.25472	+	3.96961i	−0.138774	+	0.129474i
$941$	−33.7819	−	10.9764i	−1.10126	−	0.357821i	−0.298672	−	0.954356i	$-0.596544\pi$
$941$	−33.7819	−	10.9764i	−1.10126	−	0.357821i	−0.802587	+	0.596535i	$0.796544\pi$
$942$	−1.19401	−	0.189112i	−0.0389028	−	0.00616160i
$943$	1.71522	+	10.8294i	0.0558551	+	0.352655i
$944$	−2.14040	−	6.58747i	−0.0696641	−	0.214404i
$945$	6.51280	+	1.16304i	0.211861	+	0.0378337i
$946$	−0.554997	+	0.747563i	−0.0180445	+	0.0243054i
$947$	−28.9427	−	28.9427i	−0.940510	−	0.940510i	0.0578173	−	0.998327i	$-0.481586\pi$
$947$	−28.9427	−	28.9427i	−0.940510	−	0.940510i	−0.998327	+	0.0578173i	$0.981586\pi$
$948$	0.560686	−	1.10041i	0.0182102	−	0.0357396i
$949$	−4.18922	+	5.76597i	−0.135988	+	0.187171i
$950$	16.2318	−	6.89969i	0.526628	−	0.223856i
$951$	−3.31027	−	1.07557i	−0.107343	−	0.0348779i
$952$	0.254795	+	16.9647i	0.00825796	+	0.549829i
$953$	−1.33907	+	8.45455i	−0.0433767	+	0.273870i	−0.999838	−	0.0179889i	$-0.994274\pi$
$953$	−1.33907	+	8.45455i	−0.0433767	+	0.273870i	0.956461	+	0.291859i	$0.0942737\pi$
$954$	−21.2954	+	29.3106i	−0.689464	+	0.948966i
$955$	−28.3131	−	41.9529i	−0.916190	−	1.35757i
$956$	−16.1270			−0.521583
$957$	1.76482	+	0.298197i	0.0570486	+	0.00963933i
$958$	−22.5553	−	22.5553i	−0.728728	−	0.728728i
$959$	21.6614	+	3.09812i	0.699483	+	0.100044i
$960$	0.379892	−	0.177264i	0.0122610	−	0.00572116i
$961$	−23.4337	+	17.0256i	−0.755925	+	0.549212i
$962$	7.17844	+	14.0885i	0.231442	+	0.454231i
$963$	−17.1513	−	33.6612i	−0.552692	−	1.08472i
$964$	−6.26755	+	4.55364i	−0.201864	+	0.146663i
$965$	−17.2456	+	8.04707i	−0.555155	+	0.259044i
$966$	0.809117	+	0.115724i	0.0260329	+	0.00372336i
$967$	42.6020	+	42.6020i	1.36999	+	1.36999i	0.860445	+	0.509543i	$0.170186\pi$
$967$	42.6020	+	42.6020i	1.36999	+	1.36999i	0.509543	+	0.860445i	$0.329814\pi$
$968$	−1.94434	+	10.8268i	−0.0624936	+	0.347986i
$969$	4.24092			0.136238
$970$	10.9464	+	16.2198i	0.351467	+	0.520786i
$971$	15.8976	−	21.8812i	0.510180	−	0.702202i	−0.473770	−	0.880649i	$-0.657107\pi$
$971$	15.8976	−	21.8812i	0.510180	−	0.702202i	0.983950	+	0.178447i	$0.0571072\pi$
$972$	−0.779524	+	4.92172i	−0.0250032	+	0.157864i
$973$	49.7454	−	0.747133i	1.59476	−	0.0239520i
$974$	−4.85800	−	1.57846i	−0.155660	−	0.0505771i
$975$	4.08674	+	1.64874i	0.130880	+	0.0528019i
$976$	−5.67077	+	7.80515i	−0.181517	+	0.249837i
$977$	−0.0383345	+	0.0752358i	−0.00122643	+	0.00240701i	−0.891619	−	0.452787i	$-0.850430\pi$
$977$	−0.0383345	+	0.0752358i	−0.00122643	+	0.00240701i	0.890392	+	0.455194i	$0.150430\pi$
$978$	−1.00120	−	1.00120i	−0.0320150	−	0.0320150i
$979$	−0.852639	−	1.19936i	−0.0272505	−	0.0383317i
$980$	12.6205	+	9.25866i	0.403147	+	0.295757i
$981$	−15.1095	−	46.5022i	−0.482409	−	1.48470i
$982$	2.69722	+	17.0295i	0.0860716	+	0.543435i
$983$	−30.8835	−	4.89147i	−0.985031	−	0.156014i	−0.356918	−	0.934136i	$-0.616172\pi$
$983$	−30.8835	−	4.89147i	−0.985031	−	0.156014i	−0.628113	+	0.778122i	$0.716172\pi$
$984$	1.18641	+	0.385487i	0.0378213	+	0.0122889i
$985$	−23.5602	+	21.9814i	−0.750690	+	0.700385i
$986$	10.8500	+	14.9338i	0.345536	+	0.475589i
$987$	−0.380400	+	1.23348i	−0.0121083	+	0.0392622i
$988$	−14.7756	−	7.52855i	−0.470075	−	0.239515i
$989$			0.462584i			0.0147093i
$990$	9.09170	+	20.0202i	0.288953	+	0.636285i
$991$	19.0356			0.604685			0.302343	−	0.953199i	$-0.402231\pi$
$991$	19.0356			0.604685			0.302343	+	0.953199i	$0.402231\pi$
$992$	−1.27086	−	0.647536i	−0.0403499	−	0.0205593i
$993$	−0.684748	−	4.32333i	−0.0217298	−	0.137197i
$994$	−5.93316	−	34.1345i	−0.188188	−	1.08268i
$995$	1.22470	−	35.3274i	0.0388254	−	1.11995i
$996$	−0.235809	+	0.725746i	−0.00747190	+	0.0229961i
$997$	6.34742	−	40.0760i	0.201025	−	1.26922i	−0.656322	−	0.754481i	$-0.727889\pi$
$997$	6.34742	−	40.0760i	0.201025	−	1.26922i	0.857347	−	0.514739i	$-0.172111\pi$
$998$	8.96880	−	1.42052i	0.283902	−	0.0449657i
$999$	−1.16229	−	3.57716i	−0.0367732	−	0.113176i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.bi.a.27.11	✓	384
5.3	odd	4	inner	770.2.bi.a.643.38	yes	384
7.6	odd	2	inner	770.2.bi.a.27.14	yes	384
11.9	even	5	inner	770.2.bi.a.97.35	yes	384
35.13	even	4	inner	770.2.bi.a.643.35	yes	384
55.53	odd	20	inner	770.2.bi.a.713.14	yes	384
77.20	odd	10	inner	770.2.bi.a.97.38	yes	384
385.328	even	20	inner	770.2.bi.a.713.11	yes	384

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.bi.a.27.11	✓	384	1.1	even	1	trivial
770.2.bi.a.27.14	yes	384	7.6	odd	2	inner
770.2.bi.a.97.35	yes	384	11.9	even	5	inner
770.2.bi.a.97.38	yes	384	77.20	odd	10	inner
770.2.bi.a.643.35	yes	384	35.13	even	4	inner
770.2.bi.a.643.38	yes	384	5.3	odd	4	inner
770.2.bi.a.713.11	yes	384	385.328	even	20	inner
770.2.bi.a.713.14	yes	384	55.53	odd	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:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.bi (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.0293280 - 0.185170i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.0774713 + 2.23473i) q^{5} +(0.178302 + 0.0579339i) q^{6} +(2.16357 + 1.52281i) q^{7} +(0.987688 - 0.156434i) q^{8} +(2.81974 - 0.916190i) q^{9} +O(q^{10})\)	\(q+(-0.453990 + 0.891007i) q^{2} +(-0.0293280 - 0.185170i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-0.0774713 + 2.23473i) q^{5} +(0.178302 + 0.0579339i) q^{6} +(2.16357 + 1.52281i) q^{7} +(0.987688 - 0.156434i) q^{8} +(2.81974 - 0.916190i) q^{9} +(-1.95598 - 1.08357i) q^{10} +(-1.92171 - 2.70315i) q^{11} +(-0.132567 + 0.132567i) q^{12} +(2.13426 - 4.18873i) q^{13} +(-2.33908 + 1.23641i) q^{14} +(0.416076 - 0.0511948i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(2.91134 + 5.71382i) q^{17} +(-0.463805 + 2.92835i) q^{18} +(2.85378 + 2.07339i) q^{19} +(1.85347 - 1.25086i) q^{20} +(0.218526 - 0.445289i) q^{21} +(3.28096 - 0.485046i) q^{22} +(1.16518 - 1.16518i) q^{23} +(-0.0579339 - 0.178302i) q^{24} +(-4.98800 - 0.346254i) q^{25} +(2.76325 + 3.80329i) q^{26} +(-0.507688 - 0.996394i) q^{27} +(-0.0397324 - 2.64545i) q^{28} +(-1.69194 - 2.32876i) q^{29} +(-0.143280 + 0.393969i) q^{30} +(1.35651 - 0.440757i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-0.444183 + 0.435121i) q^{33} -6.41277 q^{34} +(-3.57069 + 4.71701i) q^{35} +(-2.39862 - 1.74270i) q^{36} +(3.32202 + 0.526156i) q^{37} +(-3.14300 + 1.60144i) q^{38} +(-0.838221 - 0.272354i) q^{39} +(0.273071 + 2.21933i) q^{40} +(-3.91107 + 5.38313i) q^{41} +(0.297547 + 0.396865i) q^{42} +(-0.198503 + 0.198503i) q^{43} +(-1.05735 + 3.14357i) q^{44} +(1.82898 + 6.37233i) q^{45} +(0.509203 + 1.56717i) q^{46} +(-2.57029 + 0.407093i) q^{47} +(0.185170 + 0.0293280i) q^{48} +(2.36207 + 6.58943i) q^{49} +(2.57302 - 4.28714i) q^{50} +(0.972645 - 0.706668i) q^{51} +(-4.64324 + 0.735417i) q^{52} +(10.8879 + 5.54767i) q^{53} +1.11828 q^{54} +(6.18969 - 4.08507i) q^{55} +(2.37515 + 1.16561i) q^{56} +(0.300235 - 0.589244i) q^{57} +(2.84306 - 0.450297i) q^{58} +(-5.60364 + 4.07128i) q^{59} +(-0.285981 - 0.306521i) q^{60} +(9.17550 + 2.98130i) q^{61} +(-0.223126 + 1.40876i) q^{62} +(7.49590 + 2.31170i) q^{63} +(0.951057 - 0.309017i) q^{64} +(9.19532 + 5.09400i) q^{65} +(-0.186040 - 0.593311i) q^{66} +(-2.03972 - 2.03972i) q^{67} +(2.91134 - 5.71382i) q^{68} +(-0.249929 - 0.181584i) q^{69} +(-2.58183 - 5.32298i) q^{70} +(-4.04660 + 12.4541i) q^{71} +(2.64170 - 1.34601i) q^{72} +(-1.49738 - 0.237162i) q^{73} +(-1.97697 + 2.72107i) q^{74} +(0.0821723 + 0.933782i) q^{75} -3.52747i q^{76} +(-0.0413451 - 8.77487i) q^{77} +(0.623214 - 0.623214i) q^{78} +(-6.26511 + 2.03566i) q^{79} +(-2.10141 - 0.764248i) q^{80} +(7.02623 - 5.10486i) q^{81} +(-3.02081 - 5.92868i) q^{82} +(3.62667 - 1.84788i) q^{83} +(-0.488693 + 0.0849432i) q^{84} +(-12.9944 + 6.06339i) q^{85} +(-0.0867488 - 0.266985i) q^{86} +(-0.381595 + 0.381595i) q^{87} +(-2.32091 - 2.36925i) q^{88} +0.443689 q^{89} +(-6.50813 - 1.26334i) q^{90} +(10.9963 - 5.81252i) q^{91} +(-1.62753 - 0.257775i) q^{92} +(-0.121399 - 0.238259i) q^{93} +(0.804163 - 2.47496i) q^{94} +(-4.85455 + 6.21679i) q^{95} +(-0.110197 + 0.151673i) q^{96} +(-7.79724 - 3.97289i) q^{97} +(-6.94359 - 0.886915i) q^{98} +(-7.89532 - 5.86155i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 384 q - 4 q^{7}+O(q^{10}) \) 384 * q - 4 * q^7	\( 384 q - 4 q^{7} + 24 q^{15} + 96 q^{16} + 16 q^{22} + 16 q^{23} - 40 q^{25} + 4 q^{28} + 16 q^{30} - 32 q^{35} + 80 q^{36} - 64 q^{37} + 44 q^{42} - 80 q^{43} - 16 q^{46} - 64 q^{50} - 136 q^{51} + 80 q^{53} + 8 q^{56} - 112 q^{57} - 96 q^{58} + 68 q^{63} - 272 q^{65} + 160 q^{67} - 8 q^{70} + 16 q^{71} + 96 q^{77} + 24 q^{81} - 80 q^{85} - 16 q^{88} - 84 q^{91} + 16 q^{92} + 88 q^{93} - 184 q^{95} - 32 q^{98}+O(q^{100}) \) 384 * q - 4 * q^7 + 24 * q^15 + 96 * q^16 + 16 * q^22 + 16 * q^23 - 40 * q^25 + 4 * q^28 + 16 * q^30 - 32 * q^35 + 80 * q^36 - 64 * q^37 + 44 * q^42 - 80 * q^43 - 16 * q^46 - 64 * q^50 - 136 * q^51 + 80 * q^53 + 8 * q^56 - 112 * q^57 - 96 * q^58 + 68 * q^63 - 272 * q^65 + 160 * q^67 - 8 * q^70 + 16 * q^71 + 96 * q^77 + 24 * q^81 - 80 * q^85 - 16 * q^88 - 84 * q^91 + 16 * q^92 + 88 * q^93 - 184 * q^95 - 32 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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