LMFDB - Embedded newform 570.2.bi.a.473.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			473.4
Character	$\chi$	$=$	570.473
Dual form			570.2.bi.a.47.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.819152 + 0.573576i) q^{2} +(-1.56152 - 0.749446i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.02824 + 0.941402i) q^{5} +(1.70898 - 0.281738i) q^{6} +(5.01697 + 1.34429i) q^{7} +(0.258819 + 0.965926i) q^{8} +(1.87666 + 2.34054i) q^{9} +O(q^{10})$	\(q+(-0.819152 + 0.573576i) q^{2} +(-1.56152 - 0.749446i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.02824 + 0.941402i) q^{5} +(1.70898 - 0.281738i) q^{6} +(5.01697 + 1.34429i) q^{7} +(0.258819 + 0.965926i) q^{8} +(1.87666 + 2.34054i) q^{9} +(-2.20140 + 0.392200i) q^{10} +(-1.73942 - 1.00426i) q^{11} +(-1.23832 + 1.21102i) q^{12} +(-1.02434 - 0.0896181i) q^{13} +(-4.88071 + 1.77643i) q^{14} +(-2.46160 - 2.99007i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(0.388500 - 0.272031i) q^{17} +(-2.87975 - 0.840853i) q^{18} +(-4.32037 + 0.578248i) q^{19} +(1.57833 - 1.58394i) q^{20} +(-6.82660 - 5.85908i) q^{21} +(2.00087 - 0.175053i) q^{22} +(5.18453 - 2.41759i) q^{23} +(0.319760 - 1.70228i) q^{24} +(3.22752 + 3.81878i) q^{25} +(0.890492 - 0.514126i) q^{26} +(-1.17632 - 5.06125i) q^{27} +(2.97912 - 4.25463i) q^{28} +(1.24611 + 7.06702i) q^{29} +(3.73146 + 1.03741i) q^{30} +(2.75367 + 4.76949i) q^{31} +(0.996195 + 0.0871557i) q^{32} +(1.96350 + 2.87177i) q^{33} +(-0.162210 + 0.445669i) q^{34} +(8.91010 + 7.44953i) q^{35} +(2.84125 - 0.962971i) q^{36} +(2.06560 - 2.06560i) q^{37} +(3.20737 - 2.95174i) q^{38} +(1.53236 + 0.907627i) q^{39} +(-0.384377 + 2.20278i) q^{40} +(-4.35503 + 5.19012i) q^{41} +(8.95265 + 0.883902i) q^{42} +(-4.07512 - 1.90026i) q^{43} +(-1.53861 + 1.29105i) q^{44} +(1.60293 + 6.51388i) q^{45} +(-2.86025 + 4.95409i) q^{46} +(4.58685 - 6.55070i) q^{47} +(0.714455 + 1.57783i) q^{48} +(17.3007 + 9.98854i) q^{49} +(-4.83420 - 1.27693i) q^{50} +(-0.810521 + 0.133620i) q^{51} +(-0.434558 + 0.931913i) q^{52} +(2.69681 - 1.25754i) q^{53} +(3.86660 + 3.47122i) q^{54} +(-2.58256 - 3.67437i) q^{55} +5.19395i q^{56} +(7.17970 + 2.33494i) q^{57} +(-5.07423 - 5.07423i) q^{58} +(1.86476 - 10.5756i) q^{59} +(-3.65166 + 1.29048i) q^{60} +(-7.08291 - 2.57797i) q^{61} +(-4.99134 - 2.32750i) q^{62} +(6.26877 + 14.2652i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-1.99324 - 1.14608i) q^{65} +(-3.25558 - 1.22620i) q^{66} +(11.1451 + 7.80390i) q^{67} +(-0.122750 - 0.458111i) q^{68} +(-9.90757 - 0.110429i) q^{69} +(-11.5716 - 0.991678i) q^{70} +(-3.08482 - 8.47548i) q^{71} +(-1.77508 + 2.41849i) q^{72} +(0.271616 + 3.10459i) q^{73} +(-0.507261 + 2.87682i) q^{74} +(-2.17786 - 8.38194i) q^{75} +(-0.934280 + 4.25760i) q^{76} +(-7.37662 - 7.37662i) q^{77} +(-1.77583 + 0.135440i) q^{78} +(-4.64590 + 5.53677i) q^{79} +(-0.948601 - 2.02488i) q^{80} +(-1.95629 + 8.78481i) q^{81} +(0.590500 - 6.74944i) q^{82} +(-0.322576 - 0.0864341i) q^{83} +(-7.84057 + 4.41098i) q^{84} +(1.04406 - 0.186009i) q^{85} +(4.42809 - 0.780792i) q^{86} +(3.35054 - 11.9692i) q^{87} +(0.519842 - 1.94008i) q^{88} +(5.13331 - 4.30736i) q^{89} +(-5.04925 - 4.41646i) q^{90} +(-5.01860 - 1.82662i) q^{91} +(-0.498574 - 5.69873i) q^{92} +(-0.725417 - 9.51136i) q^{93} +7.99693i q^{94} +(-9.30712 - 2.89438i) q^{95} +(-1.49025 - 0.882689i) q^{96} +(2.88854 + 4.12526i) q^{97} +(-19.9011 + 1.74112i) q^{98} +(-0.913801 - 5.95585i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{5}{9}\right)$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−0.819152	+	0.573576i	−0.579228	+	0.405580i
$2$	−0.819152	+	0.573576i	−0.579228	+	0.405580i
$3$	−1.56152	−	0.749446i	−0.901541	−	0.432693i
$3$	−1.56152	−	0.749446i	−0.901541	−	0.432693i
$4$	0.342020	−	0.939693i	0.171010	−	0.469846i
$5$	2.02824	+	0.941402i	0.907057	+	0.421008i
$5$	2.02824	+	0.941402i	0.907057	+	0.421008i
$6$	1.70898	−	0.281738i	0.697689	−	0.115019i
$7$	5.01697	+	1.34429i	1.89624	+	0.508095i	0.997587	+	0.0694238i	$0.0221161\pi$
$7$	5.01697	+	1.34429i	1.89624	+	0.508095i	0.898648	+	0.438671i	$0.144551\pi$
$8$	0.258819	+	0.965926i	0.0915064	+	0.341506i
$9$	1.87666	+	2.34054i	0.625554	+	0.780181i
$10$	−2.20140	+	0.392200i	−0.696145	+	0.124024i
$11$	−1.73942	−	1.00426i	−0.524456	−	0.302795i	0.214300	−	0.976768i	$-0.431253\pi$
$11$	−1.73942	−	1.00426i	−0.524456	−	0.302795i	−0.738756	+	0.673973i	$0.764586\pi$
$12$	−1.23832	+	1.21102i	−0.357472	+	0.349591i
$13$	−1.02434	−	0.0896181i	−0.284101	−	0.0248556i	−0.0557851	−	0.998443i	$-0.517766\pi$
$13$	−1.02434	−	0.0896181i	−0.284101	−	0.0248556i	−0.228315	+	0.973587i	$0.573322\pi$
$14$	−4.88071	+	1.77643i	−1.30443	+	0.474772i
$15$	−2.46160	−	2.99007i	−0.635582	−	0.772033i
$16$	−0.766044	−	0.642788i	−0.191511	−	0.160697i
$17$	0.388500	−	0.272031i	0.0942251	−	0.0659771i	−0.525514	−	0.850785i	$-0.676127\pi$
$17$	0.388500	−	0.272031i	0.0942251	−	0.0659771i	0.619740	+	0.784808i	$0.287238\pi$
$18$	−2.87975	−	0.840853i	−0.678764	−	0.198191i
$19$	−4.32037	+	0.578248i	−0.991162	+	0.132659i
$19$	−4.32037	+	0.578248i	−0.991162	+	0.132659i
$20$	1.57833	−	1.58394i	0.352925	−	0.354181i
$21$	−6.82660	−	5.85908i	−1.48969	−	1.27856i
$22$	2.00087	−	0.175053i	0.426587	−	0.0373215i
$23$	5.18453	−	2.41759i	1.08105	−	0.504101i	0.201295	−	0.979531i	$-0.435485\pi$
$23$	5.18453	−	2.41759i	1.08105	−	0.504101i	0.879754	+	0.475429i	$0.157707\pi$
$24$	0.319760	−	1.70228i	0.0652706	−	0.347476i
$25$	3.22752	+	3.81878i	0.645505	+	0.763756i
$26$	0.890492	−	0.514126i	0.174640	−	0.100828i
$27$	−1.17632	−	5.06125i	−0.226383	−	0.974038i
$28$	2.97912	−	4.25463i	0.563002	−	0.804050i
$29$	1.24611	+	7.06702i	0.231396	+	1.31231i	0.850072	+	0.526666i	$0.176558\pi$
$29$	1.24611	+	7.06702i	0.231396	+	1.31231i	−0.618676	+	0.785646i	$0.712331\pi$
$30$	3.73146	+	1.03741i	0.681268	+	0.189404i
$31$	2.75367	+	4.76949i	0.494573	+	0.856626i	0.999980	−	0.00625478i	$-0.00199097\pi$
$31$	2.75367	+	4.76949i	0.494573	+	0.856626i	−0.505407	+	0.862881i	$0.668658\pi$
$32$	0.996195	+	0.0871557i	0.176104	+	0.0154071i
$33$	1.96350	+	2.87177i	0.341802	+	0.499910i
$34$	−0.162210	+	0.445669i	−0.0278188	+	0.0764316i
$35$	8.91010	+	7.44953i	1.50608	+	1.25920i
$36$	2.84125	−	0.962971i	0.473541	−	0.160495i
$37$	2.06560	−	2.06560i	0.339583	−	0.339583i	−0.516627	−	0.856210i	$-0.672813\pi$
$37$	2.06560	−	2.06560i	0.339583	−	0.339583i	0.856210	+	0.516627i	$0.172813\pi$
$38$	3.20737	−	2.95174i	0.520305	−	0.478835i
$39$	1.53236	+	0.907627i	0.245374	+	0.145337i
$40$	−0.384377	+	2.20278i	−0.0607754	+	0.348291i
$41$	−4.35503	+	5.19012i	−0.680142	+	0.810561i	−0.990126	−	0.140180i	$-0.955232\pi$
$41$	−4.35503	+	5.19012i	−0.680142	+	0.810561i	0.309984	+	0.950742i	$0.399676\pi$
$42$	8.95265	+	0.883902i	1.38142	+	0.136389i
$43$	−4.07512	−	1.90026i	−0.621450	−	0.289787i	0.0862786	−	0.996271i	$-0.472502\pi$
$43$	−4.07512	−	1.90026i	−0.621450	−	0.289787i	−0.707729	+	0.706484i	$0.750280\pi$
$44$	−1.53861	+	1.29105i	−0.231954	+	0.194633i
$45$	1.60293	+	6.51388i	0.238950	+	0.971032i
$46$	−2.86025	+	4.95409i	−0.421720	+	0.730441i
$47$	4.58685	−	6.55070i	0.669061	−	0.955518i	−0.330869	−	0.943677i	$-0.607342\pi$
$47$	4.58685	−	6.55070i	0.669061	−	0.955518i	0.999930	−	0.0118414i	$-0.00376933\pi$
$48$	0.714455	+	1.57783i	0.103123	+	0.227740i
$49$	17.3007	+	9.98854i	2.47152	+	1.42693i
$50$	−4.83420	−	1.27693i	−0.683658	−	0.180585i
$51$	−0.810521	+	0.133620i	−0.113496	+	0.0187106i
$52$	−0.434558	+	0.931913i	−0.0602624	+	0.129233i
$53$	2.69681	−	1.25754i	0.370435	−	0.172737i	−0.228481	−	0.973548i	$-0.573376\pi$
$53$	2.69681	−	1.25754i	0.370435	−	0.172737i	0.598916	+	0.800812i	$0.295598\pi$
$54$	3.86660	+	3.47122i	0.526178	+	0.472374i
$55$	−2.58256	−	3.67437i	−0.348232	−	0.495452i
$56$			5.19395i			0.694070i
$57$	7.17970	+	2.33494i	0.950974	+	0.309271i
$58$	−5.07423	−	5.07423i	−0.666279	−	0.666279i
$59$	1.86476	−	10.5756i	0.242771	−	1.37682i	−0.582841	−	0.812586i	$-0.698059\pi$
$59$	1.86476	−	10.5756i	0.242771	−	1.37682i	0.825612	−	0.564238i	$-0.190830\pi$
$60$	−3.65166	+	1.29048i	−0.471428	+	0.166600i
$61$	−7.08291	−	2.57797i	−0.906874	−	0.330075i	−0.153870	−	0.988091i	$-0.549174\pi$
$61$	−7.08291	−	2.57797i	−0.906874	−	0.330075i	−0.753004	+	0.658016i	$0.771396\pi$
$62$	−4.99134	−	2.32750i	−0.633901	−	0.295593i
$63$	6.26877	+	14.2652i	0.789791	+	1.79725i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	−1.99324	−	1.14608i	−0.247231	−	0.142154i
$66$	−3.25558	−	1.22620i	−0.400735	−	0.150934i
$67$	11.1451	+	7.80390i	1.36159	+	0.953398i	0.999776	+	0.0211488i	$0.00673237\pi$
$67$	11.1451	+	7.80390i	1.36159	+	0.953398i	0.361817	+	0.932249i	$0.382157\pi$
$68$	−0.122750	−	0.458111i	−0.0148857	−	0.0555541i
$69$	−9.90757	−	0.110429i	−1.19273	−	0.0132940i
$70$	−11.5716	−	0.991678i	−1.38307	−	0.118528i
$71$	−3.08482	−	8.47548i	−0.366101	−	1.00585i	−0.976830	−	0.214015i	$-0.931346\pi$
$71$	−3.08482	−	8.47548i	−0.366101	−	1.00585i	0.610729	−	0.791839i	$-0.290876\pi$
$72$	−1.77508	+	2.41849i	−0.209195	+	0.285022i
$73$	0.271616	+	3.10459i	0.0317903	+	0.363364i	0.995382	+	0.0959881i	$0.0306011\pi$
$73$	0.271616	+	3.10459i	0.0317903	+	0.363364i	−0.963592	+	0.267376i	$0.913843\pi$
$74$	−0.507261	+	2.87682i	−0.0589679	+	0.334424i
$75$	−2.17786	−	8.38194i	−0.251477	−	0.967863i
$76$	−0.934280	+	4.25760i	−0.107169	+	0.488380i
$77$	−7.37662	−	7.37662i	−0.840643	−	0.840643i
$78$	−1.77583	+	0.135440i	−0.201073	+	0.0153355i
$79$	−4.64590	+	5.53677i	−0.522704	+	0.622935i	−0.961218	−	0.275790i	$-0.911061\pi$
$79$	−4.64590	+	5.53677i	−0.522704	+	0.622935i	0.438514	+	0.898725i	$0.355505\pi$
$80$	−0.948601	−	2.02488i	−0.106057	−	0.226389i
$81$	−1.95629	+	8.78481i	−0.217365	+	0.976090i
$82$	0.590500	−	6.74944i	0.0652098	−	0.745351i
$83$	−0.322576	−	0.0864341i	−0.0354074	−	0.00948738i	0.241072	−	0.970507i	$-0.422501\pi$
$83$	−0.322576	−	0.0864341i	−0.0354074	−	0.00948738i	−0.276479	+	0.961020i	$0.589168\pi$
$84$	−7.84057	+	4.41098i	−0.855476	+	0.481277i
$85$	1.04406	−	0.186009i	0.113244	−	0.0201755i
$86$	4.42809	−	0.780792i	0.477493	−	0.0841949i
$87$	3.35054	−	11.9692i	0.359215	−	1.28323i
$88$	0.519842	−	1.94008i	0.0554153	−	0.206813i
$89$	5.13331	−	4.30736i	0.544130	−	0.456579i	−0.328817	−	0.944394i	$-0.606650\pi$
$89$	5.13331	−	4.30736i	0.544130	−	0.456579i	0.872948	+	0.487814i	$0.162206\pi$
$90$	−5.04925	−	4.41646i	−0.532238	−	0.465535i
$91$	−5.01860	−	1.82662i	−0.526092	−	0.191482i
$92$	−0.498574	−	5.69873i	−0.0519799	−	0.594133i
$93$	−0.725417	−	9.51136i	−0.0752222	−	0.986282i
$94$			7.99693i			0.824820i
$95$	−9.30712	−	2.89438i	−0.954891	−	0.296958i
$96$	−1.49025	−	0.882689i	−0.152098	−	0.0900891i
$97$	2.88854	+	4.12526i	0.293287	+	0.418857i	0.938571	−	0.345086i	$-0.112150\pi$
$97$	2.88854	+	4.12526i	0.293287	+	0.418857i	−0.645285	+	0.763942i	$0.723261\pi$
$98$	−19.9011	+	1.74112i	−2.01031	+	0.175879i
$99$	−0.913801	−	5.95585i	−0.0918405	−	0.598585i
$100$	4.69236	−	1.72678i	0.469236	−	0.172678i
$101$	3.02992	+	3.61092i	0.301488	+	0.359300i	0.895425	−	0.445212i	$-0.146872\pi$
$101$	3.02992	+	3.61092i	0.301488	+	0.359300i	−0.593937	+	0.804512i	$0.702427\pi$
$102$	0.587299	−	0.574351i	0.0581512	−	0.0568692i
$103$	7.07384	−	1.89543i	0.697006	−	0.186762i	0.107117	−	0.994246i	$-0.465838\pi$
$103$	7.07384	−	1.89543i	0.697006	−	0.186762i	0.589889	+	0.807484i	$0.299171\pi$
$104$	−0.178554	−	1.01263i	−0.0175087	−	0.0992966i
$105$	−8.33023	−	18.3102i	−0.812947	−	1.78689i
$106$	−1.48780	+	2.57694i	−0.144508	+	0.250295i
$107$	−2.01675	+	7.52661i	−0.194967	+	0.727625i	0.797309	+	0.603571i	$0.206256\pi$
$107$	−2.01675	+	7.52661i	−0.194967	+	0.727625i	−0.992275	+	0.124054i	$0.960410\pi$
$108$	−5.15835	−	0.625668i	−0.496362	−	0.0602049i
$109$	1.15879	+	3.18376i	0.110992	+	0.304949i	0.982736	−	0.185013i	$-0.0592328\pi$
$109$	1.15879	+	3.18376i	0.110992	+	0.304949i	−0.871744	+	0.489962i	$0.837011\pi$
$110$	4.22304	+	1.52857i	0.402651	+	0.145744i
$111$	−4.77353	+	1.67741i	−0.453083	+	0.159213i
$112$	−2.97912	−	4.25463i	−0.281501	−	0.402025i
$113$	−6.94000	+	6.94000i	−0.652861	+	0.652861i	−0.953681	−	0.300820i	$-0.902740\pi$
$113$	−6.94000	+	6.94000i	−0.652861	+	0.652861i	0.300820	+	0.953681i	$0.402740\pi$
$114$	−7.22053	+	2.20543i	−0.676265	+	0.206557i
$115$	12.7914	−	0.0227182i	1.19280	−	0.00211848i
$116$	7.06702	+	1.24611i	0.656156	+	0.115698i
$117$	−1.71258	−	2.56569i	−0.158328	−	0.237198i
$118$	4.53839	+	9.73260i	0.417792	+	0.895958i
$119$	2.31478	−	0.842511i	0.212196	−	0.0772329i
$120$	2.25108	−	3.15161i	0.205494	−	0.287701i
$121$	−3.48294	−	6.03262i	−0.316631	−	0.548420i
$122$	7.28065	−	1.95084i	0.659159	−	0.176621i
$123$	10.6902	−	4.84060i	0.963900	−	0.436462i
$124$	5.42367	−	0.956339i	0.487060	−	0.0858818i
$125$	2.95118	+	10.7838i	0.263962	+	0.964533i
$126$	−13.3173	−	8.08976i	−1.18640	−	0.720693i
$127$	1.19705	−	13.6823i	0.106221	−	1.21411i	−0.736757	−	0.676158i	$-0.763644\pi$
$127$	1.19705	−	13.6823i	0.106221	−	1.21411i	0.842977	−	0.537949i	$-0.180801\pi$
$128$	0.422618	−	0.906308i	0.0373545	−	0.0801070i
$129$	4.93922	+	6.02137i	0.434874	+	0.530152i
$130$	2.29013	−	0.204460i	0.200858	−	0.0179323i
$131$	−7.66555	−	1.35164i	−0.669743	−	0.118094i	−0.171570	−	0.985172i	$-0.554884\pi$
$131$	−7.66555	−	1.35164i	−0.669743	−	0.118094i	−0.498172	+	0.867078i	$0.665995\pi$
$132$	3.37013	−	0.862885i	0.293333	−	0.0751045i
$133$	−22.4525	−	2.90679i	−1.94688	−	0.252051i
$134$	−13.6057			−1.17535
$135$	2.37881	−	11.3728i	0.204735	−	0.978817i
$136$	0.363313	+	0.304856i	0.0311538	+	0.0261411i
$137$	3.08927	+	6.62496i	0.263934	+	0.566009i	0.992956	−	0.118481i	$-0.0378026\pi$
$137$	3.08927	+	6.62496i	0.263934	+	0.566009i	−0.729022	+	0.684490i	$0.760025\pi$
$138$	8.17915	−	5.59229i	0.696255	−	0.476048i
$139$	−7.24953	−	8.63965i	−0.614897	−	0.732806i	0.365287	−	0.930895i	$-0.380971\pi$
$139$	−7.24953	−	8.63965i	−0.614897	−	0.732806i	−0.980184	+	0.198089i	$0.936526\pi$
$140$	10.0477	−	5.82486i	0.849186	−	0.492291i
$141$	−12.0718	+	6.79142i	−1.01663	+	0.571941i
$142$	7.38827	+	5.17333i	0.620010	+	0.434136i
$143$	1.69176	+	1.18458i	0.141472	+	0.0990598i
$144$	0.0668670	−	2.99925i	0.00557225	−	0.249938i
$145$	−4.12551	+	15.5067i	−0.342605	+	1.28776i
$146$	−2.00321	−	2.38734i	−0.165787	−	0.197577i
$147$	−19.5294	−	28.5632i	−1.61075	−	2.35585i
$148$	−1.23455	−	2.64751i	−0.101480	−	0.217624i
$149$	−2.77212	−	2.32609i	−0.227101	−	0.190561i	0.522136	−	0.852862i	$-0.325135\pi$
$149$	−2.77212	−	2.32609i	−0.227101	−	0.190561i	−0.749237	+	0.662302i	$0.769580\pi$
$150$	6.59168	+	5.61692i	0.538208	+	0.458619i
$151$	2.56780			0.208964			0.104482	−	0.994527i	$-0.466681\pi$
$151$	2.56780			0.208964			0.104482	+	0.994527i	$0.466681\pi$
$152$	−1.67674	−	4.02350i	−0.136002	−	0.326349i
$153$	1.36578	+	0.398792i	0.110417	+	0.0322404i
$154$	10.2736	+	1.81152i	0.827872	+	0.145976i
$155$	1.09509	+	12.2660i	0.0879598	+	0.985228i
$156$	1.37699	−	1.12952i	0.110247	−	0.0904338i
$157$	−7.93209	+	17.0104i	−0.633050	+	1.35758i	0.284007	+	0.958822i	$0.408336\pi$
$157$	−7.93209	+	17.0104i	−0.633050	+	1.35758i	−0.917056	+	0.398757i	$0.869442\pi$
$158$	0.629939	−	7.20023i	0.0501152	−	0.572820i
$159$	−5.15357	−	0.0574411i	−0.408704	−	0.00455537i
$160$	1.93847	+	1.11459i	0.153250	+	0.0881163i
$161$	29.2605	−	5.15942i	2.30605	−	0.406620i
$162$	−3.43626	−	8.31818i	−0.269978	−	0.653538i
$163$	8.64162	−	2.31552i	0.676864	−	0.181365i	0.0960192	−	0.995379i	$-0.469389\pi$
$163$	8.64162	−	2.31552i	0.676864	−	0.181365i	0.580845	+	0.814014i	$0.302722\pi$
$164$	3.38761	+	5.86752i	0.264528	+	0.458176i
$165$	1.27896	+	7.67308i	0.0995672	+	0.597348i
$166$	0.313816	−	0.114220i	0.0243568	−	0.00886516i
$167$	−7.88090	−	16.9006i	−0.609842	−	1.30781i	−0.932457	−	0.361281i	$-0.882340\pi$
$167$	−7.88090	−	16.9006i	−0.609842	−	1.30781i	0.322614	−	0.946530i	$-0.395438\pi$
$168$	3.89258	−	8.11043i	0.300319	−	0.625733i
$169$	−11.7613	−	2.07383i	−0.904712	−	0.159525i
$170$	−0.748555	+	0.751219i	−0.0574116	+	0.0576159i
$171$	−9.46129	−	9.02685i	−0.723523	−	0.690300i
$172$	−3.17944	+	3.17944i	−0.242430	+	0.242430i
$173$	−11.8101	−	16.8665i	−0.897904	−	1.28234i	−0.958767	−	0.284193i	$-0.908274\pi$
$173$	−11.8101	−	16.8665i	−0.897904	−	1.28234i	0.0608634	−	0.998146i	$-0.480615\pi$
$174$	4.12062	+	11.7263i	0.312384	+	0.888972i
$175$	11.0588	+	23.4974i	0.835968	+	1.77624i
$176$	0.686952	+	1.88739i	0.0517810	+	0.142267i
$177$	−10.8377	+	15.1164i	−0.814611	+	1.13622i
$178$	−1.73436	+	6.47273i	−0.129996	+	0.485152i
$179$	4.82440	−	8.35611i	0.360593	−	0.624565i	−0.627466	−	0.778644i	$-0.715908\pi$
$179$	4.82440	−	8.35611i	0.360593	−	0.624565i	0.988059	+	0.154079i	$0.0492410\pi$
$180$	6.66928	+	0.721620i	0.497099	+	0.0537863i
$181$	−0.277264	−	1.57244i	−0.0206088	−	0.116879i	0.972768	−	0.231781i	$-0.0744554\pi$
$181$	−0.277264	−	1.57244i	−0.0206088	−	0.116879i	−0.993377	+	0.114903i	$0.963344\pi$
$182$	5.15871	−	1.38227i	0.382389	−	0.102461i
$183$	9.12803	+	9.33380i	0.674763	+	0.689975i
$184$	3.67706	+	4.38215i	0.271077	+	0.323057i
$185$	6.13410	−	2.24498i	0.450988	−	0.165054i
$186$	6.04972	+	7.37517i	0.443587	+	0.540774i
$187$	−0.948955	+	0.0830228i	−0.0693945	+	0.00607123i
$188$	−4.58685	−	6.55070i	−0.334531	−	0.477759i
$189$	0.902228	−	26.9734i	0.0656274	−	1.96203i
$190$	9.28410	−	2.96741i	0.673539	−	0.215278i
$191$		−	5.24426i		−	0.379462i	−0.981836	−	0.189731i	$-0.939238\pi$
$191$		−	5.24426i		−	0.379462i	0.981836	−	0.189731i	$-0.0607615\pi$
$192$	1.72704	−	0.131718i	0.124638	−	0.00950594i
$193$	−2.01421	−	23.0226i	−0.144986	−	1.65720i	−0.625508	−	0.780217i	$-0.715108\pi$
$193$	−2.01421	−	23.0226i	−0.144986	−	1.65720i	0.480522	−	0.876983i	$-0.340447\pi$
$194$	−4.73230	−	1.72242i	−0.339760	−	0.123662i
$195$	2.25355	+	3.28345i	0.161380	+	0.235133i
$196$	15.3033	−	12.8410i	1.09309	−	0.917215i
$197$	−2.35448	+	8.78705i	−0.167750	+	0.626052i	0.829923	+	0.557877i	$0.188384\pi$
$197$	−2.35448	+	8.78705i	−0.167750	+	0.626052i	−0.997673	+	0.0681742i	$0.978283\pi$
$198$	4.16468	+	4.35461i	0.295971	+	0.309469i
$199$	−20.4573	+	3.60717i	−1.45018	+	0.255705i	−0.842594	−	0.538550i	$-0.818972\pi$
$199$	−20.4573	+	3.60717i	−1.45018	+	0.255705i	−0.607584	+	0.794255i	$0.707861\pi$
$200$	−2.85332	+	4.10592i	−0.201760	+	0.290332i
$201$	−11.5547	−	20.5386i	−0.815004	−	1.44868i
$202$	−4.55310	−	1.22000i	−0.320355	−	0.0858389i
$203$	−3.24847	+	37.1301i	−0.227998	+	2.60602i
$204$	−0.151653	+	0.807342i	−0.0106178	+	0.0565252i
$205$	−13.7190	+	6.42699i	−0.958180	+	0.448880i
$206$	−4.70738	+	5.61003i	−0.327978	+	0.390870i
$207$	15.3881	+	7.59763i	1.06954	+	0.528072i
$208$	0.727084	+	0.727084i	0.0504142	+	0.0504142i
$209$	8.09567	+	3.33295i	0.559989	+	0.230545i
$210$	17.3260	+	10.2208i	1.19561	+	0.705303i
$211$	2.25925	−	12.8129i	0.155533	−	0.882073i	−0.802763	−	0.596298i	$-0.796638\pi$
$211$	2.25925	−	12.8129i	0.155533	−	0.882073i	0.958297	−	0.285776i	$-0.0922512\pi$
$212$	−0.259340	−	2.96428i	−0.0178116	−	0.203587i
$213$	−1.53492	+	15.5465i	−0.105171	+	1.06523i
$214$	−2.66506	−	7.32220i	−0.182180	−	0.500535i
$215$	−6.47642	−	7.69052i	−0.441688	−	0.524489i
$216$	4.58434	−	2.44619i	0.311925	−	0.166442i
$217$	7.40347	+	27.6301i	0.502580	+	1.87565i
$218$	−2.77536	−	1.94333i	−0.187971	−	0.131619i
$219$	1.90259	−	5.05142i	0.128565	−	0.341343i
$220$	−4.33607	+	1.17010i	−0.292338	+	0.0788884i
$221$	−0.422335	+	0.243835i	−0.0284093	+	0.0164021i
$222$	2.94812	−	4.11204i	0.197865	−	0.275982i
$223$	−23.4107	−	10.9166i	−1.56770	−	0.731029i	−0.571704	−	0.820460i	$-0.693717\pi$
$223$	−23.4107	−	10.9166i	−1.56770	−	0.731029i	−0.995993	+	0.0894311i	$0.971495\pi$
$224$	4.88071	+	1.77643i	0.326106	+	0.118693i
$225$	−2.88106	+	14.7207i	−0.192071	+	0.981381i
$226$	1.70430	−	9.66554i	0.113368	−	0.642942i
$227$	14.2770	+	14.2770i	0.947600	+	0.947600i	0.998694	−	0.0510937i	$-0.0162707\pi$
$227$	14.2770	+	14.2770i	0.947600	+	0.947600i	−0.0510937	+	0.998694i	$0.516271\pi$
$228$	4.64973	−	5.94811i	0.307936	−	0.393923i
$229$		−	21.5586i		−	1.42463i	−0.701859	−	0.712316i	$-0.747646\pi$
$229$		−	21.5586i		−	1.42463i	0.701859	−	0.712316i	$-0.252354\pi$
$230$	−10.4651	+	7.35545i	−0.690046	+	0.485004i
$231$	5.99032	+	17.0471i	0.394134	+	1.12162i
$232$	−6.50370	+	3.03273i	−0.426989	+	0.199108i
$233$	−1.28375	+	2.75301i	−0.0841011	+	0.180355i	−0.943861	−	0.330343i	$-0.892835\pi$
$233$	−1.28375	+	2.75301i	−0.0841011	+	0.180355i	0.859760	+	0.510699i	$0.170613\pi$
$234$	2.87449	+	1.11940i	0.187911	+	0.0731772i
$235$	15.4701	−	8.96833i	1.00916	−	0.585029i
$236$	−9.30002	−	5.36937i	−0.605380	−	0.349516i
$237$	11.4041	−	5.16389i	0.740779	−	0.335431i
$238$	−1.41291	+	2.01785i	−0.0915855	+	0.130798i
$239$	7.44555	−	12.8961i	0.481612	−	0.834177i	−0.518165	−	0.855281i	$-0.673385\pi$
$239$	7.44555	−	12.8961i	0.481612	−	0.834177i	0.999777	+	0.0211037i	$0.00671802\pi$
$240$	−0.0362869	+	3.87281i	−0.00234231	+	0.249989i
$241$	7.21184	−	6.05145i	0.464556	−	0.389808i	−0.380248	−	0.924884i	$-0.624161\pi$
$241$	7.21184	−	6.05145i	0.464556	−	0.389808i	0.844804	+	0.535076i	$0.179717\pi$
$242$	6.31323	+	2.94391i	0.405829	+	0.189241i
$243$	9.63852	−	12.2515i	0.618311	−	0.785933i
$244$	−4.84500	+	5.77404i	−0.310169	+	0.369645i
$245$	25.6867	+	36.5460i	1.64106	+	2.33484i
$246$	−5.98042	+	10.0968i	−0.381298	+	0.643749i
$247$	4.47735	−	0.205138i	0.284887	−	0.0130526i
$248$	−3.89427	+	3.89427i	−0.247287	+	0.247287i
$249$	0.438930	+	0.376722i	0.0278161	+	0.0238738i
$250$	−8.60281	−	7.14085i	−0.544089	−	0.451627i
$251$	−8.45367	+	23.2263i	−0.533591	+	1.46603i	0.321177	+	0.947019i	$0.395921\pi$
$251$	−8.45367	+	23.2263i	−0.533591	+	1.46603i	−0.854768	+	0.519010i	$0.826301\pi$
$252$	15.5490	−	1.01173i	0.979492	−	0.0637328i
$253$	−11.4460	−	1.00139i	−0.719602	−	0.0629570i
$254$	6.86728	+	11.8945i	0.430891	+	0.746326i
$255$	−1.76972	−	0.492013i	−0.110824	−	0.0308110i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−5.78193	+	8.25745i	−0.360667	+	0.515086i	−0.957946	−	0.286947i	$-0.907359\pi$
$257$	−5.78193	+	8.25745i	−0.360667	+	0.515086i	0.597279	+	0.802033i	$0.296248\pi$
$258$	−7.49969	−	2.09940i	−0.466910	−	0.130703i
$259$	13.1398	−	7.58628i	0.816469	−	0.471389i
$260$	−1.75869	+	1.48105i	−0.109070	+	0.0918508i
$261$	−14.2022	+	16.1790i	−0.879091	+	1.00145i
$262$	7.05452	−	3.28958i	0.435830	−	0.203231i
$263$	−28.7885	+	2.51866i	−1.77517	+	0.155308i	−0.927159	−	0.374667i	$-0.877757\pi$
$263$	−28.7885	+	2.51866i	−1.77517	+	0.155308i	−0.848014	+	0.529975i	$0.822201\pi$
$264$	−2.26572	+	2.63986i	−0.139446	+	0.162472i
$265$	6.65363	−	0.0118172i	0.408729	−	0.000725923i
$266$	20.0593	−	10.4971i	1.22991	−	0.643620i
$267$	−11.2439	+	2.87887i	−0.688114	+	0.176184i
$268$	11.1451	−	7.80390i	0.680797	−	0.476699i
$269$	16.3812	+	13.7455i	0.998782	+	0.838078i	0.986815	−	0.161851i	$-0.0517463\pi$
$269$	16.3812	+	13.7455i	0.998782	+	0.838078i	0.0119670	+	0.999928i	$0.496191\pi$
$270$	4.57458	+	10.6805i	0.278400	+	0.649995i
$271$	−21.2278	+	7.72629i	−1.28950	+	0.469339i	−0.893562	−	0.448939i	$-0.851802\pi$
$271$	−21.2278	+	7.72629i	−1.28950	+	0.469339i	−0.395936	+	0.918278i	$0.629580\pi$
$272$	−0.472466	−	0.0413354i	−0.0286475	−	0.00250633i
$273$	6.46767	+	6.61347i	0.391441	+	0.400265i
$274$	−6.33051	−	3.65492i	−0.382440	−	0.220802i
$275$	−1.77899	−	9.88374i	−0.107277	−	0.596012i
$276$	−3.49236	+	9.27230i	−0.210215	+	0.558127i
$277$	−5.32856	−	19.8865i	−0.320162	−	1.19486i	−0.919086	−	0.394056i	$-0.871072\pi$
$277$	−5.32856	−	19.8865i	−0.320162	−	1.19486i	0.598924	−	0.800806i	$-0.295595\pi$
$278$	10.8940	+	2.91903i	0.653377	+	0.175072i
$279$	−5.99551	+	15.3958i	−0.358942	+	0.921723i
$280$	−4.88959	+	10.5346i	−0.292209	+	0.629561i
$281$	−2.03613	+	5.59422i	−0.121465	+	0.333723i	−0.985492	−	0.169723i	$-0.945713\pi$
$281$	−2.03613	+	5.59422i	−0.121465	+	0.333723i	0.864026	+	0.503447i	$0.167935\pi$
$282$	5.99327	−	12.4873i	0.356894	−	0.743610i
$283$	−8.22111	+	5.75648i	−0.488694	+	0.342187i	−0.791811	−	0.610766i	$-0.790862\pi$
$283$	−8.22111	+	5.75648i	−0.488694	+	0.342187i	0.303117	+	0.952953i	$0.401973\pi$
$284$	−9.01942			−0.535204
$285$	12.3640	+	11.4948i	0.732382	+	0.680894i
$286$	−2.06526			−0.122121
$287$	−28.8261	+	20.1842i	−1.70155	+	1.19144i
$288$	1.66553	+	2.49520i	0.0981422	+	0.147031i
$289$	−5.73741	+	15.7634i	−0.337495	+	0.927259i
$290$	−5.51487	−	15.0686i	−0.323844	−	0.884861i
$291$	−1.41884	−	8.60646i	−0.0831737	−	0.504520i
$292$	3.01025	+	0.806595i	0.176162	+	0.0472024i
$293$	−7.75765	−	28.9519i	−0.453207	−	1.69139i	−0.693308	−	0.720642i	$-0.743847\pi$
$293$	−7.75765	−	28.9519i	−0.453207	−	1.69139i	0.240101	−	0.970748i	$-0.422819\pi$
$294$	32.3807	+	12.1960i	1.88848	+	0.711285i
$295$	13.7381	−	19.6944i	0.799861	−	1.14665i
$296$	2.52984	+	1.46060i	0.147044	+	0.0848957i
$297$	−3.03667	+	9.98499i	−0.176206	+	0.579388i
$298$	3.60498	+	0.315395i	0.208831	+	0.0182703i
$299$	−5.52737	+	2.01180i	−0.319656	+	0.116345i
$300$	−8.62132	−	0.820278i	−0.497752	−	0.0473588i
$301$	−17.8902	−	15.0117i	−1.03118	−	0.865260i
$302$	−2.10342	+	1.47283i	−0.121038	+	0.0847517i
$303$	−2.02508	−	7.90927i	−0.116338	−	0.454376i
$304$	3.68129	+	2.33412i	0.211136	+	0.133871i
$305$	−11.9390	−	11.8966i	−0.683622	−	0.681198i
$306$	−1.34752	+	0.456709i	−0.0770327	+	0.0261083i
$307$	18.5328	−	1.62141i	1.05772	−	0.0925389i	0.455003	−	0.890490i	$-0.349638\pi$
$307$	18.5328	−	1.62141i	1.05772	−	0.0925389i	0.602722	+	0.797951i	$0.294083\pi$
$308$	−9.45470	+	4.40880i	−0.538732	+	0.251215i
$309$	−12.4664	−	2.34172i	−0.709191	−	0.133216i
$310$	−7.93253	−	9.41959i	−0.450537	−	0.534997i
$311$	28.2558	−	16.3135i	1.60224	−	0.925053i	0.611200	−	0.791476i	$-0.290687\pi$
$311$	28.2558	−	16.3135i	1.60224	−	0.925053i	0.991038	−	0.133577i	$-0.0426463\pi$
$312$	−0.480097	+	1.71505i	−0.0271801	+	0.0970959i
$313$	9.55086	−	13.6400i	0.539846	−	0.770980i	−0.452854	−	0.891584i	$-0.649594\pi$
$313$	9.55086	−	13.6400i	0.539846	−	0.770980i	0.992701	+	0.120604i	$0.0384831\pi$
$314$	−3.25919	−	18.4838i	−0.183927	−	1.04310i
$315$	−0.714727	+	34.8347i	−0.0402703	+	1.96271i
$316$	3.61387	+	6.25940i	0.203296	+	0.352119i
$317$	15.7618	+	1.37898i	0.885270	+	0.0774510i	0.520715	−	0.853731i	$-0.325666\pi$
$317$	15.7618	+	1.37898i	0.885270	+	0.0774510i	0.364555	+	0.931182i	$0.381221\pi$
$318$	4.25450	−	2.90891i	0.238581	−	0.163124i
$319$	4.92960	−	13.5440i	0.276004	−	0.758316i
$320$	−2.22721	+	0.198842i	−0.124505	+	0.0111156i
$321$	8.78998	−	10.2415i	0.490609	−	0.571624i
$322$	−21.0095	+	21.0095i	−1.17081	+	1.17081i
$323$	−1.52116	+	1.39992i	−0.0846399	+	0.0778938i
$324$	7.58593	+	4.84289i	0.421441	+	0.269050i
$325$	−2.96385	−	4.20097i	−0.164405	−	0.233028i
$326$	−5.75068	+	6.85339i	−0.318501	+	0.379574i
$327$	0.576583	−	5.83995i	0.0318851	−	0.322950i
$328$	−6.14044	−	2.86333i	−0.339049	−	0.158101i
$329$	31.8181	−	26.6986i	1.75419	−	1.47194i
$330$	−5.44876	−	5.55184i	−0.299945	−	0.305618i
$331$	−14.1677	+	24.5392i	−0.778727	+	1.34879i	0.153949	+	0.988079i	$0.450801\pi$
$331$	−14.1677	+	24.5392i	−0.778727	+	1.34879i	−0.932676	+	0.360716i	$0.882532\pi$
$332$	−0.191549	+	0.273561i	−0.0105126	+	0.0150136i
$333$	8.71106	+	0.958197i	0.477363	+	0.0525089i
$334$	16.1495	+	9.32390i	0.883660	+	0.510181i
$335$	15.2584	+	26.3202i	0.833655	+	1.43803i
$336$	1.46333	+	8.87637i	0.0798313	+	0.484245i
$337$	11.0162	−	23.6244i	0.600092	−	1.28690i	−0.338205	−	0.941073i	$-0.609820\pi$
$337$	11.0162	−	23.6244i	0.600092	−	1.28690i	0.938297	−	0.345830i	$-0.112403\pi$
$338$	10.8238	−	5.04720i	0.588735	−	0.274532i
$339$	16.0381	−	5.63576i	0.871069	−	0.306093i
$340$	0.182299	−	1.04472i	0.00988656	−	0.0566577i
$341$		−	11.0616i		−	0.599017i
$342$	12.9278	+	1.96759i	0.699057	+	0.106395i
$343$	47.6606	+	47.6606i	2.57343	+	2.57343i
$344$	0.780792	−	4.42809i	0.0420975	−	0.238747i
$345$	−19.9910	−	9.55099i	−1.07628	−	0.514208i
$346$	19.3485	+	7.04228i	1.04018	+	0.378595i
$347$	−4.23482	−	1.97473i	−0.227337	−	0.106009i	0.305613	−	0.952156i	$-0.401139\pi$
$347$	−4.23482	−	1.97473i	−0.227337	−	0.106009i	−0.532950	+	0.846147i	$0.678917\pi$
$348$	−10.1014	−	7.24217i	−0.541490	−	0.388221i
$349$	−5.46529	+	3.15538i	−0.292550	+	0.168904i	−0.639091	−	0.769131i	$-0.720689\pi$
$349$	−5.46529	+	3.15538i	−0.292550	+	0.168904i	0.346541	+	0.938035i	$0.387356\pi$
$350$	−22.5364	−	12.9049i	−1.20462	−	0.689796i
$351$	0.751374	+	5.28986i	0.0401054	+	0.282352i
$352$	−1.64528	−	1.15204i	−0.0876936	−	0.0614037i
$353$	1.67365	+	6.24613i	0.0890792	+	0.332448i	0.996055	−	0.0887339i	$-0.0282821\pi$
$353$	1.67365	+	6.24613i	0.0890792	+	0.332448i	−0.906976	+	0.421182i	$0.861615\pi$
$354$	0.207301	−	18.5989i	0.0110179	−	0.988519i
$355$	1.72207	−	20.0944i	0.0913982	−	1.06650i
$356$	−2.29190	−	6.29694i	−0.121470	−	0.333737i
$357$	−4.24598	−	0.419209i	−0.224721	−	0.0221869i
$358$	0.840949	+	9.61209i	0.0444455	+	0.508015i
$359$	−4.92643	+	27.9392i	−0.260007	+	1.47457i	0.522878	+	0.852408i	$0.324858\pi$
$359$	−4.92643	+	27.9392i	−0.260007	+	1.47457i	−0.782885	+	0.622167i	$0.786253\pi$
$360$	−5.87706	+	3.23422i	−0.309748	+	0.170459i
$361$	18.3313	−	4.99649i	0.964803	−	0.262973i
$362$	1.12904	+	1.12904i	0.0593408	+	0.0593408i
$363$	0.917532	+	12.0303i	0.0481580	+	0.631427i
$364$	−3.43293	+	4.09120i	−0.179934	+	0.214437i
$365$	−2.37176	+	6.55255i	−0.124144	+	0.342976i
$366$	−12.8309	−	2.41018i	−0.670682	−	0.125982i
$367$	−0.417665	+	4.77393i	−0.0218019	+	0.249197i	0.977471	+	0.211070i	$0.0676948\pi$
$367$	−0.417665	+	4.77393i	−0.0218019	+	0.249197i	−0.999273	+	0.0381272i	$0.987861\pi$
$368$	−5.52557	−	1.48057i	−0.288040	−	0.0771802i
$369$	−20.3206	−	0.453039i	−1.05785	−	0.0235843i
$370$	−3.73710	+	5.35735i	−0.194282	+	0.278515i
$371$	15.2203	−	2.68375i	0.790199	−	0.139333i
$372$	−9.18587	−	2.57141i	−0.476265	−	0.133321i
$373$	−0.924667	+	3.45090i	−0.0478774	+	0.178681i	−0.985724	−	0.168369i	$-0.946150\pi$
$373$	−0.924667	+	3.45090i	−0.0478774	+	0.178681i	0.937847	+	0.347050i	$0.112817\pi$
$374$	0.729719	−	0.612307i	0.0377328	−	0.0316616i
$375$	3.47356	−	19.0508i	0.179374	−	0.983781i
$376$	7.51466	+	2.73511i	0.387539	+	0.141053i
$377$	−0.643103	−	7.35070i	−0.0331215	−	0.378580i
$378$	14.7323	+	22.6129i	0.757746	+	1.16308i
$379$		−	5.56548i		−	0.285880i	−0.989731	−	0.142940i	$-0.954344\pi$
$379$		−	5.56548i		−	0.285880i	0.989731	−	0.142940i	$-0.0456555\pi$
$380$	−5.90306	+	7.75590i	−0.302820	+	0.397869i
$381$	−12.1234	+	20.4680i	−0.621098	+	1.04861i
$382$	3.00799	+	4.29585i	0.153902	+	0.219795i
$383$	−7.74203	+	0.677340i	−0.395599	+	0.0346105i	−0.283220	−	0.959055i	$-0.591403\pi$
$383$	−7.74203	+	0.677340i	−0.395599	+	0.0346105i	−0.112379	+	0.993665i	$0.535847\pi$
$384$	−1.33915	+	1.09848i	−0.0683384	+	0.0560568i
$385$	−8.01719	−	21.9059i	−0.408594	−	1.11643i
$386$	14.8551	+	17.7037i	0.756107	+	0.901093i
$387$	−3.19998	−	13.1041i	−0.162664	−	0.666121i
$388$	4.86442	−	1.30342i	0.246953	−	0.0661709i
$389$	−1.17116	−	6.64197i	−0.0593801	−	0.336761i	0.940616	−	0.339472i	$-0.110248\pi$
$389$	−1.17116	−	6.64197i	−0.0593801	−	0.336761i	−0.999996	+	0.00271068i	$0.999137\pi$
$390$	−3.72931	−	1.39706i	−0.188841	−	0.0707431i
$391$	1.35653	−	2.34958i	0.0686028	−	0.118824i
$392$	−5.17045	+	19.2964i	−0.261147	+	0.974614i
$393$	10.9569	+	7.85553i	0.552702	+	0.396259i
$394$	−3.11137	−	8.54841i	−0.156748	−	0.430663i
$395$	−14.6353	+	6.85624i	−0.736383	+	0.344975i
$396$	−5.90920	−	1.17833i	−0.296949	−	0.0592132i
$397$	−11.4964	−	16.4185i	−0.576986	−	0.824022i	0.419502	−	0.907754i	$-0.362205\pi$
$397$	−11.4964	−	16.4185i	−0.576986	−	0.824022i	−0.996488	+	0.0837327i	$0.973316\pi$
$398$	14.6886	−	14.6886i	0.736274	−	0.736274i
$399$	32.8814	+	21.3659i	1.64613	+	1.06964i
$400$	−0.0177604	−	4.99997i	−0.000888022	−	0.249998i
$401$	−1.10198	−	0.194309i	−0.0550303	−	0.00970333i	0.146065	−	0.989275i	$-0.453339\pi$
$401$	−1.10198	−	0.194309i	−0.0550303	−	0.00970333i	−0.201096	+	0.979572i	$0.564450\pi$
$402$	21.2455	+	10.1967i	1.05963	+	0.508567i
$403$	−2.39326	−	5.13236i	−0.119217	−	0.255661i
$404$	4.42945	−	1.61219i	0.220373	−	0.0802093i
$405$	−12.2379	+	15.9761i	−0.608105	+	0.793857i
$406$	−18.6360	−	32.2785i	−0.924888	−	1.60195i
$407$	−5.66735	+	1.51856i	−0.280920	+	0.0752723i
$408$	−0.338846	−	0.748320i	−0.0167754	−	0.0370474i
$409$	−28.3757	+	5.00340i	−1.40309	+	0.247402i	−0.823412	−	0.567444i	$-0.807932\pi$
$409$	−28.3757	+	5.00340i	−1.40309	+	0.247402i	−0.579677	+	0.814847i	$0.696821\pi$
$410$	7.55162	−	13.1336i	0.372948	−	0.648622i
$411$	0.141109	−	12.6602i	0.00696041	−	0.624483i
$412$	0.638274	−	7.29551i	0.0314455	−	0.359424i
$413$	23.5721	−	50.5506i	1.15991	−	2.48743i
$414$	−16.9630	+	2.60262i	−0.833685	+	0.127912i
$415$	−0.572894	−	0.478983i	−0.0281222	−	0.0235124i
$416$	−1.01263	−	0.178554i	−0.0496483	−	0.00875433i
$417$	4.84530	+	18.9241i	0.237275	+	0.926716i
$418$	−8.54328	+	1.91330i	−0.417866	+	0.0935823i
$419$	−3.06380			−0.149676			−0.0748381	−	0.997196i	$-0.523844\pi$
$419$	−3.06380			−0.149676			−0.0748381	+	0.997196i	$0.523844\pi$
$420$	−20.0551	+	1.56540i	−0.978587	+	0.0763836i
$421$	17.0546	+	14.3105i	0.831190	+	0.697451i	0.955564	−	0.294784i	$-0.0952477\pi$
$421$	17.0546	+	14.3105i	0.831190	+	0.697451i	−0.124374	+	0.992235i	$0.539692\pi$
$422$	5.49848	+	11.7915i	0.267662	+	0.574003i
$423$	23.9402	−	1.55772i	1.16401	−	0.0757389i
$424$	1.91268	+	2.27944i	0.0928878	+	0.110699i
$425$	2.29272	+	0.605612i	0.111213	+	0.0293765i
$426$	−7.65978	−	13.6153i	−0.371117	−	0.659665i
$427$	−32.0692	−	22.4551i	−1.55194	−	1.08668i
$428$	6.38293	+	4.46938i	0.308531	+	0.216036i
$429$	−1.75393	−	3.11763i	−0.0846804	−	0.150521i
$430$	9.71627	+	2.58498i	0.468560	+	0.124659i
$431$	3.91974	+	4.67136i	0.188807	+	0.225012i	0.852141	−	0.523312i	$-0.175304\pi$
$431$	3.91974	+	4.67136i	0.188807	+	0.225012i	−0.663334	+	0.748323i	$0.730859\pi$
$432$	−2.35219	+	4.63327i	−0.113170	+	0.222918i
$433$	−1.31668	−	2.82364i	−0.0632758	−	0.135695i	0.872127	−	0.489280i	$-0.162740\pi$
$433$	−1.31668	−	2.82364i	−0.0632758	−	0.135695i	−0.935403	+	0.353585i	$0.884963\pi$
$434$	−21.9126	−	18.3868i	−1.05184	−	0.882595i
$435$	18.0635	−	21.1221i	0.866078	−	1.01273i
$436$	3.38809			0.162260
$437$	−21.0011	+	13.4428i	−1.00462	+	0.643057i
$438$	1.33887	+	5.22916i	0.0639735	+	0.249859i
$439$	10.4965	+	1.85081i	0.500970	+	0.0883345i	0.418422	−	0.908253i	$-0.362583\pi$
$439$	10.4965	+	1.85081i	0.500970	+	0.0883345i	0.0825476	+	0.996587i	$0.473694\pi$
$440$	2.88076	−	3.44556i	0.137335	−	0.164261i
$441$	9.08885	+	59.2380i	0.432802	+	2.82086i
$442$	0.206098	−	0.441979i	0.00980310	−	0.0210228i
$443$	0.323670	−	3.69956i	0.0153780	−	0.175772i	−0.984621	−	0.174702i	$-0.944104\pi$
$443$	0.323670	−	3.69956i	0.0153780	−	0.175772i	0.999999	−	0.00106988i	$-0.000340555\pi$
$444$	−0.0563910	+	5.05936i	−0.00267620	+	0.240106i
$445$	14.4666	−	3.90385i	0.685781	−	0.185060i
$446$	25.4384	−	4.48548i	1.20454	−	0.212394i
$447$	2.58544	+	5.70978i	0.122287	+	0.270063i
$448$	−5.01697	+	1.34429i	−0.237029	+	0.0635118i
$449$	−10.1794	−	17.6313i	−0.480398	−	0.832073i	0.519349	−	0.854562i	$-0.326174\pi$
$449$	−10.1794	−	17.6313i	−0.480398	−	0.832073i	−0.999747	+	0.0224886i	$0.992841\pi$
$450$	−6.08343	−	13.7110i	−0.286776	−	0.646343i
$451$	12.7875	−	4.65426i	0.602138	−	0.219160i
$452$	4.14785	+	8.89509i	0.195098	+	0.418390i
$453$	−4.00965	−	1.92443i	−0.188390	−	0.0904174i
$454$	−19.8840	−	3.50609i	−0.933204	−	0.164549i
$455$	−8.45935	−	8.42935i	−0.396580	−	0.395174i
$456$	−0.397142	+	7.53938i	−0.0185979	+	0.353064i
$457$	3.03439	−	3.03439i	0.141943	−	0.141943i	−0.632565	−	0.774507i	$-0.717998\pi$
$457$	3.03439	−	3.03439i	0.141943	−	0.141943i	0.774507	+	0.632565i	$0.217998\pi$
$458$	12.3655	+	17.6598i	0.577802	+	0.825187i
$459$	−1.83382	−	1.64630i	−0.0855953	−	0.0768427i
$460$	4.35357	−	12.0277i	0.202986	−	0.560797i
$461$	−6.91142	−	18.9890i	−0.321897	−	0.884405i	−0.990092	−	0.140419i	$-0.955155\pi$
$461$	−6.91142	−	18.9890i	−0.321897	−	0.884405i	0.668195	−	0.743986i	$-0.267067\pi$
$462$	−14.6848	−	10.5282i	−0.683198	−	0.489818i
$463$	4.56304	−	17.0295i	0.212063	−	0.791428i	−0.775117	−	0.631817i	$-0.782309\pi$
$463$	4.56304	−	17.0295i	0.212063	−	0.791428i	0.987180	−	0.159611i	$-0.0510240\pi$
$464$	3.58802	−	6.21463i	0.166570	−	0.288507i
$465$	7.48270	−	19.9742i	0.347002	−	0.926283i
$466$	−0.527475	−	2.99146i	−0.0244348	−	0.138577i
$467$	−31.3342	+	8.39598i	−1.44998	+	0.388520i	−0.896015	−	0.444024i	$-0.853551\pi$
$467$	−31.3342	+	8.39598i	−1.44998	+	0.388520i	−0.553960	+	0.832543i	$0.686884\pi$
$468$	−2.99670	+	0.731782i	−0.138523	+	0.0338266i
$469$	45.4240	+	54.1342i	2.09748	+	2.49968i
$470$	−7.52833	+	16.2197i	−0.347256	+	0.748159i
$471$	25.1345	−	20.6174i	1.15814	−	0.949998i
$472$	10.6979	−	0.935942i	0.492409	−	0.0430802i
$473$	5.18002	+	7.39783i	0.238177	+	0.340153i
$474$	−6.37984	+	10.7712i	−0.293036	+	0.494736i
$475$	−16.1523	−	14.6323i	−0.741119	−	0.671374i
$476$		−	2.46334i		−	0.112907i
$477$	8.00433	+	3.95202i	0.366493	+	0.180950i
$478$	1.29784	+	14.8344i	0.0593620	+	0.678511i
$479$	−34.6941	−	12.6276i	−1.58522	−	0.576971i	−0.608886	−	0.793258i	$-0.708383\pi$
$479$	−34.6941	−	12.6276i	−1.58522	−	0.576971i	−0.976330	+	0.216287i	$0.930605\pi$
$480$	−2.19163	−	3.19324i	−0.100034	−	0.145751i
$481$	−2.30099	+	1.93076i	−0.104916	+	0.0880351i
$482$	−2.43662	+	9.09360i	−0.110985	+	0.414202i
$483$	−49.5575	−	13.8727i	−2.25494	−	0.631229i
$484$	−6.86005	+	1.20961i	−0.311820	+	0.0549823i
$485$	1.97512	+	11.0863i	0.0896857	+	0.503403i
$486$	−0.868250	+	15.5643i	−0.0393846	+	0.706009i
$487$	−29.3181	−	7.85577i	−1.32853	−	0.355979i	−0.476364	−	0.879248i	$-0.658045\pi$
$487$	−29.3181	−	7.85577i	−1.32853	−	0.355979i	−0.852167	+	0.523270i	$0.824712\pi$
$488$	0.656935	−	7.50880i	0.0297380	−	0.339907i
$489$	−15.2294	−	2.86072i	−0.688696	−	0.129366i
$490$	−42.0032	−	15.2035i	−1.89751	−	0.686824i
$491$	2.43882	−	2.90648i	0.110063	−	0.131168i	−0.708201	−	0.706011i	$-0.750493\pi$
$491$	2.43882	−	2.90648i	0.110063	−	0.131168i	0.818263	+	0.574844i	$0.194937\pi$
$492$	−0.892421	−	11.7011i	−0.0402334	−	0.527524i
$493$	2.40656	+	2.40656i	0.108386	+	0.108386i
$494$	−3.54997	+	2.73614i	−0.159721	+	0.123105i
$495$	3.75344	−	12.9401i	0.168705	−	0.581616i
$496$	0.956339	−	5.42367i	0.0429409	−	0.243530i
$497$	−4.08293	−	46.6681i	−0.183144	−	2.09335i
$498$	−0.575630	−	0.0568324i	−0.0257946	−	0.00254672i
$499$	−3.62735	−	9.96606i	−0.162382	−	0.446142i	0.831640	−	0.555315i	$-0.187402\pi$
$499$	−3.62735	−	9.96606i	−0.162382	−	0.446142i	−0.994023	+	0.109172i	$0.965180\pi$
$500$	11.1428	+	0.915074i	0.498322	+	0.0409233i
$501$	−0.359978	+	32.2969i	−0.0160826	+	1.44292i
$502$	−6.39720	−	23.8747i	−0.285521	−	1.06558i
$503$	0.572012	+	0.400527i	0.0255048	+	0.0178586i	0.586259	−	0.810123i	$-0.300600\pi$
$503$	0.572012	+	0.400527i	0.0255048	+	0.0178586i	−0.560755	+	0.827982i	$0.689489\pi$
$504$	−12.1567	+	9.74727i	−0.541501	+	0.434178i
$505$	2.74608	+	10.1762i	0.122199	+	0.452834i
$506$	9.95036	−	5.74485i	0.442348	−	0.255390i
$507$	16.8112	+	12.0527i	0.746610	+	0.535281i
$508$	−12.4477	−	5.80448i	−0.552279	−	0.257532i
$509$	−14.6234	−	5.32249i	−0.648172	−	0.235915i	−0.00305028	−	0.999995i	$-0.500971\pi$
$509$	−14.6234	−	5.32249i	−0.648172	−	0.235915i	−0.645121	+	0.764080i	$0.723193\pi$
$510$	1.73188	−	0.612038i	0.0766889	−	0.0271015i
$511$	−2.81078	+	15.9407i	−0.124342	+	0.705177i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	8.00881	+	21.1863i	0.353598	+	0.935398i
$514$		−	10.0805i		−	0.444631i
$515$	16.1318	+	2.81494i	0.710853	+	0.124041i
$516$	7.34755	−	2.58192i	0.323458	−	0.113663i
$517$	−14.5571	+	6.78807i	−0.640219	+	0.298539i
$518$	−6.41220	+	13.7510i	−0.281736	+	0.604185i
$519$	5.80105	+	35.1884i	0.254638	+	1.54460i
$520$	0.591142	−	2.22195i	0.0259233	−	0.0974389i
$521$	7.53899	+	4.35264i	0.330289	+	0.190693i	0.655970	−	0.754787i	$-0.272260\pi$
$521$	7.53899	+	4.35264i	0.330289	+	0.190693i	−0.325680	+	0.945480i	$0.605593\pi$
$522$	2.35385	−	21.3991i	0.103025	−	0.936611i
$523$	10.3412	−	14.7688i	0.452190	−	0.645795i	−0.526731	−	0.850032i	$-0.676583\pi$
$523$	10.3412	−	14.7688i	0.452190	−	0.645795i	0.978921	+	0.204237i	$0.0654714\pi$
$524$	−3.89190	+	6.74097i	−0.170019	+	0.294481i
$525$	0.341551	−	44.9796i	0.0149065	−	1.96307i
$526$	22.1375	−	18.5756i	0.965240	−	0.809933i
$527$	2.36725	+	1.10387i	0.103119	+	0.0480852i
$528$	0.341808	−	3.46201i	0.0148753	−	0.150665i
$529$	6.25051	−	7.44906i	0.271761	−	0.323872i
$530$	−5.44356	+	3.82605i	−0.236453	+	0.166193i
$531$	28.2522	−	15.4822i	1.22604	−	0.671872i
$532$	−10.4107	+	20.1043i	−0.451361	+	0.871631i
$533$	4.92616	−	4.92616i	0.213376	−	0.213376i
$534$	7.55920	−	8.80746i	0.327119	−	0.381136i
$535$	−11.1760	+	13.3672i	−0.483182	+	0.577915i
$536$	−4.65342	+	12.7852i	−0.200997	+	0.552235i
$537$	−13.7958	+	9.43257i	−0.595334	+	0.407045i
$538$	−21.3028	−	1.86376i	−0.918430	−	0.0803522i
$539$	−20.0621	−	34.7486i	−0.864136	−	1.49673i
$540$	−9.87336	−	6.12509i	−0.424882	−	0.263582i
$541$	−0.860461	−	4.87992i	−0.0369941	−	0.209804i	0.960708	−	0.277562i	$-0.0895265\pi$
$541$	−0.860461	−	4.87992i	−0.0369941	−	0.209804i	−0.997702	+	0.0677582i	$0.978415\pi$
$542$	12.9572	−	18.5048i	0.556559	−	0.794848i
$543$	−0.745508	+	2.66318i	−0.0319928	+	0.114288i
$544$	0.410731	−	0.237136i	0.0176099	−	0.0101671i
$545$	−0.646886	+	7.54833i	−0.0277096	+	0.323335i
$546$	−9.09134	−	1.70773i	−0.389073	−	0.0730843i
$547$	1.15796	−	0.539967i	0.0495109	−	0.0230873i	−0.397705	−	0.917513i	$-0.630193\pi$
$547$	1.15796	−	0.539967i	0.0495109	−	0.0230873i	0.447216	+	0.894426i	$0.352416\pi$
$548$	7.28202	−	0.637094i	0.311073	−	0.0272153i
$549$	−7.25838	−	21.4158i	−0.309780	−	0.914006i
$550$	7.12635	+	7.07590i	0.303868	+	0.301717i
$551$	−9.47013	−	29.8116i	−0.403441	−	1.27002i
$552$	−2.45760	−	9.59856i	−0.104603	−	0.408542i
$553$	−30.7513	+	21.5323i	−1.30768	+	0.915648i
$554$	15.7713	+	13.2337i	0.670059	+	0.562246i
$555$	−11.2610	−	1.09161i	−0.478002	−	0.0463365i
$556$	−10.5981	+	3.85739i	−0.449460	+	0.163590i
$557$	41.8828	+	3.66427i	1.77463	+	0.155260i	0.926934	−	0.375224i	$-0.122434\pi$
$557$	41.8828	+	3.66427i	1.77463	+	0.155260i	0.847695	+	0.530484i	$0.177990\pi$
$558$	−3.91944	−	16.0504i	−0.165923	−	0.679467i
$559$	4.00401	+	2.31172i	0.169352	+	0.0977752i
$560$	−2.03706	−	11.4340i	−0.0860816	−	0.483174i
$561$	1.54403	+	0.581549i	0.0651890	+	0.0245530i
$562$	−1.54081	−	5.75040i	−0.0649953	−	0.242566i
$563$	−36.4294	−	9.76122i	−1.53532	−	0.411387i	−0.610567	−	0.791965i	$-0.709058\pi$
$563$	−36.4294	−	9.76122i	−1.53532	−	0.411387i	−0.924749	+	0.380578i	$0.875725\pi$
$564$	2.25304	+	13.6666i	0.0948701	+	0.575469i
$565$	−20.6093	+	7.54266i	−0.867041	+	0.317322i
$566$	3.43256	−	9.43087i	0.144281	−	0.396409i
$567$	−21.6240	+	41.4433i	−0.908122	+	1.74045i
$568$	7.38827	−	5.17333i	0.310005	−	0.217068i
$569$	−15.1286			−0.634222			−0.317111	−	0.948388i	$-0.602713\pi$
$569$	−15.1286			−0.634222			−0.317111	+	0.948388i	$0.602713\pi$
$570$	−16.7212	−	2.32428i	−0.700373	−	0.0973535i
$571$	−44.7125			−1.87116			−0.935579	−	0.353116i	$-0.885122\pi$
$571$	−44.7125			−1.87116			−0.935579	+	0.353116i	$0.885122\pi$
$572$	1.69176	−	1.18458i	0.0707360	−	0.0495299i
$573$	−3.93029	+	8.18900i	−0.164190	+	0.342100i
$574$	12.0357	−	33.0679i	0.502362	−	1.38023i
$575$	25.9654	+	11.9958i	1.08283	+	0.500258i
$576$	−2.79551	−	1.08864i	−0.116479	−	0.0453600i
$577$	−11.1307	−	2.98245i	−0.463375	−	0.124161i	0.0195757	−	0.999808i	$-0.493768\pi$
$577$	−11.1307	−	2.98245i	−0.463375	−	0.124161i	−0.482951	+	0.875647i	$0.660435\pi$
$578$	−4.34171	−	16.2035i	−0.180591	−	0.673976i
$579$	−14.1089	+	37.4596i	−0.586348	+	1.55677i
$580$	13.1605	+	9.18031i	0.546461	+	0.381192i
$581$	−1.50216	−	0.867274i	−0.0623202	−	0.0359806i
$582$	6.09871	+	6.23619i	0.252800	+	0.258498i
$583$	−5.95379	−	0.520889i	−0.246581	−	0.0215730i
$584$	−2.92850	+	1.06589i	−0.121182	+	0.0441067i
$585$	−1.05818	−	6.81607i	−0.0437503	−	0.281810i
$586$	22.9608	+	19.2664i	0.948503	+	0.795889i
$587$	9.75130	−	6.82793i	0.402479	−	0.281819i	−0.354759	−	0.934958i	$-0.615437\pi$
$587$	9.75130	−	6.82793i	0.402479	−	0.281819i	0.757238	+	0.653139i	$0.226548\pi$
$588$	−33.5200	+	8.58242i	−1.38234	+	0.353933i
$589$	−14.6548	−	19.0137i	−0.603842	−	0.783445i
$590$	0.0426474	+	24.0125i	0.00175577	+	0.988579i
$591$	10.2620	−	11.9566i	0.422122	−	0.491827i
$592$	−2.91009	+	0.254600i	−0.119604	+	0.0104640i
$593$	−10.6864	+	4.98316i	−0.438839	+	0.204634i	−0.629465	−	0.777029i	$-0.716726\pi$
$593$	−10.6864	+	4.98316i	−0.438839	+	0.204634i	0.190626	+	0.981663i	$0.438948\pi$
$594$	−3.23966	−	9.92099i	−0.132925	−	0.407063i
$595$	5.48808	+	0.470324i	0.224989	+	0.0192814i
$596$	−3.13393	+	1.80938i	−0.128371	+	0.0741149i
$597$	34.6477	+	9.69898i	1.41804	+	0.396953i
$598$	3.37384	−	4.81834i	0.137967	−	0.197037i
$599$	−3.74830	−	21.2577i	−0.153151	−	0.868564i	−0.960457	−	0.278430i	$-0.910186\pi$
$599$	−3.74830	−	21.2577i	−0.153151	−	0.868564i	0.807305	−	0.590134i	$-0.200925\pi$
$600$	7.53266	−	4.27305i	0.307520	−	0.174447i
$601$	8.57455	+	14.8516i	0.349763	+	0.605808i	0.986207	−	0.165515i	$-0.0529287\pi$
$601$	8.57455	+	14.8516i	0.349763	+	0.605808i	−0.636444	+	0.771323i	$0.719595\pi$
$602$	23.2652	+	2.03544i	0.948218	+	0.0829584i
$603$	2.65025	+	40.7309i	0.107926	+	1.65869i
$604$	0.878238	−	2.41294i	0.0357350	−	0.0981811i
$605$	−1.38511	−	15.5145i	−0.0563127	−	0.630752i
$606$	6.19542	+	5.31736i	0.251672	+	0.216003i
$607$	7.56959	−	7.56959i	0.307240	−	0.307240i	−0.536598	−	0.843838i	$-0.680291\pi$
$607$	7.56959	−	7.56959i	0.307240	−	0.307240i	0.843838	+	0.536598i	$0.180291\pi$
$608$	−4.35433	+	0.199502i	−0.176591	+	0.00809088i
$609$	32.8996	−	55.5447i	1.33316	−	2.25079i
$610$	16.6034	+	2.89724i	0.672253	+	0.117306i
$611$	−5.28555	+	6.29908i	−0.213831	+	0.254833i
$612$	0.841867	−	1.14702i	0.0340305	−	0.0463656i
$613$	9.01082	+	4.20181i	0.363943	+	0.169710i	0.595984	−	0.802997i	$-0.296762\pi$
$613$	9.01082	+	4.20181i	0.363943	+	0.169710i	−0.232040	+	0.972706i	$0.574540\pi$
$614$	−14.2512	+	11.9582i	−0.575132	+	0.482593i
$615$	26.2392	+	0.245852i	1.05807	+	0.00991370i
$616$	5.21606	−	9.03447i	0.210161	−	0.364009i
$617$	−20.7698	+	29.6624i	−0.836161	+	1.19416i	0.142726	+	0.989762i	$0.454413\pi$
$617$	−20.7698	+	29.6624i	−0.836161	+	1.19416i	−0.978887	+	0.204400i	$0.934476\pi$
$618$	11.5551	−	5.23223i	0.464813	−	0.210471i
$619$	2.20645	+	1.27389i	0.0886846	+	0.0512021i	0.543686	−	0.839288i	$-0.317028\pi$
$619$	2.20645	+	1.27389i	0.0886846	+	0.0512021i	−0.455002	+	0.890490i	$0.650361\pi$
$620$	11.9008	+	3.16617i	0.477948	+	0.127156i
$621$	−18.3347	−	23.3963i	−0.735746	−	0.938863i
$622$	−13.7888	+	29.5701i	−0.552879	+	1.18565i
$623$	31.5440	−	14.7092i	1.26378	−	0.589312i
$624$	−0.590442	−	1.68026i	−0.0236366	−	0.0672644i
$625$	−4.16619	+	24.6504i	−0.166648	+	0.986017i
$626$			16.6514i			0.665524i
$627$	−10.1436	−	11.2717i	−0.405098	−	0.450149i
$628$	13.2716	+	13.2716i	0.529596	+	0.529596i
$629$	0.240579	−	1.36439i	0.00959253	−	0.0544019i
$630$	−19.3949	−	28.9449i	−0.772711	−	1.15319i
$631$	33.4801	+	12.1857i	1.33282	+	0.485107i	0.907544	−	0.419957i	$-0.137955\pi$
$631$	33.4801	+	12.1857i	1.33282	+	0.485107i	0.425276	+	0.905064i	$0.360177\pi$
$632$	−6.55055	−	3.05457i	−0.260567	−	0.121504i
$633$	−13.1304	+	18.3143i	−0.521887	+	0.727927i
$634$	−13.7022	+	7.91099i	−0.544185	+	0.314186i
$635$	15.3084	−	26.6241i	0.607497	−	1.05654i
$636$	−1.81660	+	4.82312i	−0.0720329	+	0.191249i
$637$	−16.8266	−	11.7821i	−0.666693	−	0.466824i
$638$	3.73040	+	13.9221i	0.147688	+	0.551180i
$639$	14.0481	−	23.1258i	0.555733	−	0.914841i
$640$	1.71037	−	1.44036i	0.0676084	−	0.0569351i
$641$	5.52167	+	15.1707i	0.218093	+	0.599205i	0.999698	−	0.0245681i	$-0.00782106\pi$
$641$	5.52167	+	15.1707i	0.218093	+	0.599205i	−0.781605	+	0.623773i	$0.785599\pi$
$642$	−1.32606	+	13.4311i	−0.0523354	+	0.530081i
$643$	−0.232278	−	2.65494i	−0.00916013	−	0.104701i	0.990238	−	0.139386i	$-0.0445128\pi$
$643$	−0.232278	−	2.65494i	−0.00916013	−	0.104701i	−0.999398	+	0.0346849i	$0.988957\pi$
$644$	5.15942	−	29.2605i	0.203310	−	1.15303i
$645$	4.34940	+	16.8626i	0.171258	+	0.663964i
$646$	0.443102	−	2.01925i	0.0174336	−	0.0794465i
$647$	29.0061	+	29.0061i	1.14035	+	1.14035i	0.988386	+	0.151962i	$0.0485591\pi$
$647$	29.0061	+	29.0061i	1.14035	+	1.14035i	0.151962	+	0.988386i	$0.451441\pi$
$648$	−8.99180	+	0.384046i	−0.353231	+	0.0150868i
$649$	−13.8642	+	16.5227i	−0.544218	+	0.648574i
$650$	4.83742	+	1.74124i	0.189739	+	0.0682971i
$651$	9.14666	−	48.6934i	0.358486	−	1.90844i
$652$	0.779736	−	8.91242i	0.0305368	−	0.349037i
$653$	39.3131	+	10.5339i	1.53844	+	0.412224i	0.925761	−	0.378108i	$-0.123425\pi$
$653$	39.3131	+	10.5339i	1.53844	+	0.412224i	0.612679	+	0.790332i	$0.290092\pi$
$654$	2.87735	+	5.11452i	0.112513	+	0.199994i
$655$	−14.2751	−	9.95783i	−0.557776	−	0.389085i
$656$	6.67229	−	1.17651i	0.260509	−	0.0459348i
$657$	−6.75669	+	6.46198i	−0.263603	+	0.252106i
$658$	−10.7502	+	40.1203i	−0.419087	+	1.56405i
$659$	−19.0031	+	15.9455i	−0.740255	+	0.621147i	−0.932906	−	0.360120i	$-0.882736\pi$
$659$	−19.0031	+	15.9455i	−0.740255	+	0.621147i	0.192651	+	0.981267i	$0.438291\pi$
$660$	7.64777	+	1.42251i	0.297689	+	0.0553713i
$661$	23.1942	+	8.44200i	0.902150	+	0.328356i	0.751114	−	0.660172i	$-0.229517\pi$
$661$	23.1942	+	8.44200i	0.902150	+	0.328356i	0.151036	+	0.988528i	$0.451739\pi$
$662$	−2.46959	−	28.2276i	−0.0959834	−	1.09710i
$663$	0.842223	−	0.0642350i	0.0327092	−	0.00249468i
$664$		−	0.333956i		−	0.0129600i
$665$	−42.8026	−	27.0325i	−1.65981	−	1.04828i
$666$	−7.68529	+	4.21155i	−0.297799	+	0.163194i
$667$	23.5456	+	33.6266i	0.911689	+	1.30203i
$668$	−18.5768	+	1.62526i	−0.718760	+	0.0628833i
$669$	28.3748	+	34.5915i	1.09703	+	1.33738i
$670$	−27.5956	−	12.8084i	−1.06611	−	0.494832i
$671$	9.73125	+	11.5972i	0.375671	+	0.447707i
$672$	−6.28997	−	6.43176i	−0.242641	−	0.248111i
$673$	10.3782	−	2.78083i	0.400050	−	0.107193i	−0.0531840	−	0.998585i	$-0.516937\pi$
$673$	10.3782	−	2.78083i	0.400050	−	0.107193i	0.453234	+	0.891392i	$0.350270\pi$
$674$	4.52642	+	25.6706i	0.174351	+	0.988795i
$675$	15.5312	−	20.8274i	0.597796	−	0.801648i
$676$	−5.97135	+	10.3427i	−0.229667	+	0.397795i
$677$	6.55482	−	24.4629i	0.251922	−	0.940186i	−0.717855	−	0.696193i	$-0.754876\pi$
$677$	6.55482	−	24.4629i	0.251922	−	0.940186i	0.969777	−	0.243993i	$-0.0784574\pi$
$678$	−9.90509	+	13.8156i	−0.380403	+	0.530585i
$679$	8.94615	+	24.5793i	0.343322	+	0.943268i
$680$	0.449894	+	0.960344i	0.0172526	+	0.0368275i
$681$	−11.5939	−	32.9937i	−0.444281	−	1.26432i
$682$	6.34465	+	9.06110i	0.242949	+	0.346967i
$683$	−20.1067	+	20.1067i	−0.769363	+	0.769363i	−0.977994	−	0.208631i	$-0.933099\pi$
$683$	−20.1067	+	20.1067i	−0.769363	+	0.769363i	0.208631	+	0.977994i	$0.433099\pi$
$684$	−11.7184	+	5.80334i	−0.448065	+	0.221896i
$685$	0.0290300	+	16.3453i	0.00110918	+	0.624521i
$686$	−66.3782	−	11.7043i	−2.53433	−	0.446871i
$687$	−16.1570	+	33.6641i	−0.616428	+	1.28436i
$688$	1.90026	+	4.07512i	0.0724468	+	0.155363i
$689$	−2.87514	+	1.04647i	−0.109534	+	0.0398672i
$690$	21.8539	−	3.64265i	0.831963	−	0.138673i
$691$	−17.9155	−	31.0306i	−0.681538	−	1.18046i	−0.974512	−	0.224338i	$-0.927978\pi$
$691$	−17.9155	−	31.0306i	−0.681538	−	1.18046i	0.292974	−	0.956120i	$-0.405355\pi$
$692$	−19.8886	+	5.32915i	−0.756053	+	0.202584i
$693$	3.42189	−	31.1087i	0.129987	−	1.18172i
$694$	4.60162	−	0.811390i	0.174675	−	0.0307999i
$695$	−6.57040	−	24.3480i	−0.249230	−	0.923573i
$696$	12.4285	+	0.138527i	0.471101	+	0.00525083i
$697$	−0.280057	+	3.20107i	−0.0106079	+	0.121249i
$698$	2.66705	−	5.71950i	0.100949	−	0.216486i
$699$	4.06782	−	3.33676i	0.153859	−	0.126208i
$700$	25.8627	−	2.35529i	0.977518	−	0.0890217i
$701$	38.0094	+	6.70208i	1.43559	+	0.253134i	0.836685	−	0.547684i	$-0.184490\pi$
$701$	38.0094	+	6.70208i	1.43559	+	0.253134i	0.598908	+	0.800818i	$0.295601\pi$
$702$	−3.64963	−	3.90223i	−0.137746	−	0.147280i
$703$	−7.72974	+	10.1186i	−0.291533	+	0.381630i
$704$	2.00851			0.0756987
$705$	−30.8781	+	2.41019i	−1.16294	+	0.0907729i
$706$	−4.95360	−	4.15657i	−0.186431	−	0.156434i
$707$	10.3469	+	22.1890i	0.389135	+	0.834502i
$708$	10.4981	+	15.3542i	0.394542	+	0.577047i
$709$	−1.25167	−	1.49168i	−0.0470075	−	0.0560213i	0.742028	−	0.670368i	$-0.233864\pi$
$709$	−1.25167	−	1.49168i	−0.0470075	−	0.0560213i	−0.789036	+	0.614347i	$0.789419\pi$
$710$	10.1150	+	17.4481i	0.379610	+	0.654815i
$711$	−21.6778	−	0.483297i	−0.812982	−	0.0181250i
$712$	5.48919	+	3.84357i	0.205716	+	0.144044i
$713$	25.8071	+	18.0703i	0.966485	+	0.676740i
$714$	3.71855	−	2.09200i	0.139163	−	0.0782911i
$715$	2.31613	+	3.99525i	0.0866183	+	0.149414i
$716$	−6.20213	−	7.39142i	−0.231785	−	0.276230i
$717$	−21.2912	+	14.5574i	−0.795136	+	0.543655i
$718$	−11.9898	−	25.7121i	−0.447454	−	0.959568i
$719$	11.7772	+	9.88221i	0.439214	+	0.368544i	0.835415	−	0.549620i	$-0.185227\pi$
$719$	11.7772	+	9.88221i	0.439214	+	0.368544i	−0.396201	+	0.918164i	$0.629672\pi$
$720$	2.95913	−	6.02026i	0.110280	−	0.224362i
$721$	38.0372			1.41658
$722$	−12.1502	+	14.6073i	−0.452184	+	0.543626i
$723$	−15.7966	+	4.04455i	−0.587483	+	0.150418i
$724$	−1.57244	−	0.277264i	−0.0584393	−	0.0103044i
$725$	−22.9656	+	27.5676i	−0.852920	+	1.02383i
$726$	−7.65190	−	9.32838i	−0.283989	−	0.346209i
$727$	0.966892	−	2.07351i	0.0358600	−	0.0769021i	−0.887562	−	0.460689i	$-0.847602\pi$
$727$	0.966892	−	2.07351i	0.0358600	−	0.0769021i	0.923422	+	0.383787i	$0.125380\pi$
$728$	0.465471	−	5.32036i	0.0172515	−	0.197186i
$729$	−24.2325	+	11.9073i	−0.897501	+	0.441012i
$730$	−1.81555	−	6.72792i	−0.0671967	−	0.249011i
$731$	−2.10012	+	0.370307i	−0.0776756	+	0.0136963i
$732$	11.8929	−	5.38519i	0.439573	−	0.199042i
$733$	13.0322	−	3.49197i	0.481356	−	0.128979i	−0.00997799	−	0.999950i	$-0.503176\pi$
$733$	13.0322	−	3.49197i	0.481356	−	0.128979i	0.491334	+	0.870971i	$0.336509\pi$
$734$	−2.39608	−	4.15014i	−0.0884410	−	0.153184i
$735$	−12.7208	−	76.3180i	−0.469215	−	2.81503i
$736$	5.37551	−	1.95652i	0.198144	−	0.0721184i
$737$	−11.5490	−	24.7668i	−0.425412	−	0.912299i
$738$	16.9055	−	11.2843i	0.622301	−	0.415382i
$739$	34.5427	+	6.09080i	1.27067	+	0.224054i	0.768015	−	0.640432i	$-0.221245\pi$
$739$	34.5427	+	6.09080i	1.27067	+	0.224054i	0.502657	+	0.864486i	$0.332356\pi$
$740$	−0.0116011	−	6.53200i	−0.000426467	−	0.240121i
$741$	−7.14519	−	3.03521i	−0.262485	−	0.111501i
$742$	−10.9284	+	10.9284i	−0.401194	+	0.401194i
$743$	−5.94033	−	8.48367i	−0.217930	−	0.311236i	0.695270	−	0.718749i	$-0.255285\pi$
$743$	−5.94033	−	8.48367i	−0.217930	−	0.311236i	−0.913199	+	0.407513i	$0.866396\pi$
$744$	8.99952	−	3.16242i	0.329938	−	0.115940i
$745$	−3.43275	−	7.32755i	−0.125766	−	0.268461i
$746$	−1.22191	−	3.35718i	−0.0447375	−	0.122915i
$747$	−0.403064	−	0.917212i	−0.0147473	−	0.0335590i
$748$	−0.246546	+	0.920122i	−0.00901461	+	0.0336430i
$749$	−20.2359	+	35.0497i	−0.739405	+	1.28069i
$750$	8.08173	+	17.5979i	0.295103	+	0.642584i
$751$	6.13894	+	34.8157i	0.224013	+	1.27044i	0.864563	+	0.502525i	$0.167596\pi$
$751$	6.13894	+	34.8157i	0.224013	+	1.27044i	−0.640549	+	0.767917i	$0.721293\pi$
$752$	−7.72444	+	2.06976i	−0.281681	+	0.0754763i
$753$	30.6074	−	29.9326i	1.11539	−	1.09080i
$754$	4.74299	+	5.65247i	0.172729	+	0.205851i
$755$	5.20811	+	2.41733i	0.189543	+	0.0879757i
$756$	−25.0382	−	10.0733i	−0.910629	−	0.366362i
$757$	20.4337	−	1.78772i	0.742675	−	0.0649756i	0.290463	−	0.956886i	$-0.406191\pi$
$757$	20.4337	−	1.78772i	0.742675	−	0.0649756i	0.452212	+	0.891911i	$0.350635\pi$
$758$	3.19223	+	4.55898i	0.115947	+	0.165589i
$759$	17.1226	+	10.1418i	0.621510	+	0.368125i
$760$	0.386900	−	9.73911i	0.0140343	−	0.353275i
$761$		−	47.9556i		−	1.73839i	−0.494470	−	0.869195i	$-0.664638\pi$
$761$		−	47.9556i		−	1.73839i	0.494470	−	0.869195i	$-0.335362\pi$
$762$	−1.80909	−	23.7201i	−0.0655365	−	0.859287i
$763$	1.53373	+	17.5306i	0.0555247	+	0.634650i
$764$	−4.92800	−	1.79364i	−0.178289	−	0.0648918i
$765$	2.39471	+	2.09460i	0.0865810	+	0.0757303i
$766$	5.95340	−	4.99549i	0.215105	−	0.180494i
$767$	−2.85791	+	10.6659i	−0.103193	+	0.385122i
$768$	0.466906	−	1.66793i	0.0168480	−	0.0601863i
$769$	19.2286	−	3.39052i	0.693401	−	0.122265i	0.184169	−	0.982895i	$-0.441041\pi$
$769$	19.2286	−	3.39052i	0.693401	−	0.122265i	0.509232	+	0.860629i	$0.329930\pi$
$770$	19.1320	+	13.3458i	0.689470	+	0.480949i
$771$	15.2171	−	8.56089i	0.548030	−	0.308313i
$772$	−22.3230	−	5.98144i	−0.803423	−	0.215277i
$773$	−0.0132693	+	0.151669i	−0.000477265	+	0.00545516i	−0.996430	−	0.0844278i	$-0.973094\pi$
$773$	−0.0132693	+	0.151669i	−0.000477265	+	0.00545516i	0.995952	+	0.0898830i	$0.0286493\pi$
$774$	10.1375	+	8.89886i	0.364385	+	0.319863i
$775$	−9.32613	+	25.9093i	−0.335004	+	0.930690i
$776$	−3.23709	+	3.85781i	−0.116205	+	0.138487i
$777$	−26.2036	+	1.99850i	−0.940047	+	0.0716959i
$778$	4.76903	+	4.76903i	0.170978	+	0.170978i
$779$	15.8142	−	24.9416i	0.566602	−	0.893624i
$780$	3.85619	−	0.994636i	0.138074	−	0.0356137i
$781$	−3.14574	+	17.8404i	−0.112564	+	0.638380i
$782$	0.236459	+	2.70274i	0.00845576	+	0.0966498i
$783$	34.3021	−	14.6200i	1.22586	−	0.522475i
$784$	−6.83256	−	18.7723i	−0.244020	−	0.670440i
$785$	−32.1018	+	27.0340i	−1.14576	+	0.964883i
$786$	−13.4811	−	0.150259i	−0.480855	−	0.00535956i
$787$	0.200650	+	0.748837i	0.00715241	+	0.0266932i	0.969410	−	0.245448i	$-0.0789350\pi$
$787$	0.200650	+	0.748837i	0.00715241	+	0.0266932i	−0.962257	+	0.272141i	$0.912268\pi$
$788$	7.45185	+	5.21784i	0.265461	+	0.185878i
$789$	46.8412	+	17.6425i	1.66759	+	0.628089i
$790$	8.05598	−	14.0108i	0.286619	−	0.498481i
$791$	−44.1472	+	25.4884i	−1.56969	+	0.906262i
$792$	5.51640	−	2.42415i	0.196017	−	0.0861384i
$793$	7.02427	+	3.27547i	0.249439	+	0.116315i
$794$	18.8345	+	6.85522i	0.668413	+	0.243282i
$795$	−10.3986	−	4.96809i	−0.368800	−	0.176200i
$796$	−3.60717	+	20.4573i	−0.127853	+	0.725089i
$797$	13.1239	+	13.1239i	0.464871	+	0.464871i	0.900248	−	0.435377i	$-0.143385\pi$
$797$	13.1239	+	13.1239i	0.464871	+	0.464871i	−0.435377	+	0.900248i	$0.643385\pi$
$798$	−39.1899	+	1.35806i	−1.38731	+	0.0480749i
$799$		−	3.79271i		−	0.134177i
$800$	2.88241	+	4.08555i	0.101909	+	0.144446i
$801$	19.7151	+	3.93129i	0.696597	+	0.138905i
$802$	1.01414	−	0.472902i	0.0358106	−	0.0166987i
$803$	2.64535	−	5.67296i	0.0933522	−	0.200194i
$804$	−23.2519	+	3.83324i	−0.820031	+	0.135188i
$805$	64.2045	+	17.0814i	2.26291	+	0.602040i
$806$	4.90424	+	2.83146i	0.172745	+	0.0997341i
$807$	−15.2781	−	33.7407i	−0.537813	−	1.18773i
$808$	−2.70368	+	3.86125i	−0.0951151	+	0.135838i
$809$	−0.639555	+	1.10774i	−0.0224856	+	0.0389461i	−0.877049	−	0.480401i	$-0.840491\pi$
$809$	−0.639555	+	1.10774i	−0.0224856	+	0.0389461i	0.854564	+	0.519347i	$0.173825\pi$
$810$	0.861184	−	20.1062i	0.0302589	−	0.706459i
$811$	−35.9259	+	30.1454i	−1.26153	+	1.05855i	−0.266011	+	0.963970i	$0.585706\pi$
$811$	−35.9259	+	30.1454i	−1.26153	+	1.05855i	−0.995517	+	0.0945778i	$0.969850\pi$
$812$	33.7799	+	15.7518i	1.18544	+	0.552780i
$813$	38.9380	+	3.84438i	1.36562	+	0.134828i
$814$	3.77141	−	4.49459i	0.132188	−	0.157535i
$815$	19.7071	+	3.43882i	0.690310	+	0.120457i
$816$	0.706785	+	0.418634i	0.0247424	+	0.0146551i
$817$	18.7049	+	5.85341i	0.654401	+	0.204785i
$818$	20.3742	−	20.3742i	0.712367	−	0.712367i
$819$	−5.14292	−	15.1742i	−0.179708	−	0.530230i
$820$	1.34720	+	15.0898i	0.0470463	+	0.526960i
$821$	−3.32613	+	9.13847i	−0.116083	+	0.318935i	−0.984104	−	0.177592i	$-0.943169\pi$
$821$	−3.32613	+	9.13847i	−0.116083	+	0.318935i	0.868021	+	0.496527i	$0.165392\pi$
$822$	7.14602	+	10.4516i	0.249246	+	0.364541i
$823$	32.6572	+	2.85713i	1.13836	+	0.0995934i	0.640708	−	0.767785i	$-0.278641\pi$
$823$	32.6572	+	2.85713i	1.13836	+	0.0995934i	0.497650	+	0.867378i	$0.334197\pi$
$824$	3.66169	+	6.34223i	0.127561	+	0.220942i
$825$	−4.62941	+	16.7669i	−0.161175	+	0.583748i
$826$	9.68547	+	54.9290i	0.337001	+	1.91123i
$827$	−11.7185	+	16.7358i	−0.407494	+	0.581961i	−0.969475	−	0.245188i	$-0.921150\pi$
$827$	−11.7185	+	16.7358i	−0.407494	+	0.581961i	0.561982	+	0.827150i	$0.310039\pi$
$828$	12.4025	−	11.8615i	0.431015	−	0.412216i
$829$	−31.4339	+	18.1484i	−1.09174	+	0.630319i	−0.934040	−	0.357167i	$-0.883743\pi$
$829$	−31.4339	+	18.1484i	−1.09174	+	0.630319i	−0.157704	+	0.987486i	$0.550409\pi$
$830$	0.744021	+	0.0637620i	0.0258253	+	0.00221321i
$831$	−6.58321	+	35.0465i	−0.228369	+	1.21575i
$832$	0.931913	−	0.434558i	0.0323083	−	0.0150656i
$833$	9.43849	−	0.825761i	0.327024	−	0.0286109i
$834$	−14.8234	−	12.7225i	−0.513294	−	0.440546i
$835$	−0.0740572	−	41.6977i	−0.00256285	−	1.44301i
$836$	5.90083	−	6.46751i	0.204084	−	0.223683i
$837$	20.9004	−	19.5475i	0.722424	−	0.675659i
$838$	2.50972	−	1.75732i	0.0866967	−	0.0607057i
$839$	8.98348	+	7.53804i	0.310144	+	0.260242i	0.784552	−	0.620063i	$-0.212893\pi$
$839$	8.98348	+	7.53804i	0.310144	+	0.260242i	−0.474407	+	0.880305i	$0.657338\pi$
$840$	15.5303	−	12.7854i	0.535845	−	0.441139i
$841$	−21.1389	+	7.69393i	−0.728928	+	0.265308i
$842$	−22.1785	−	1.94037i	−0.764321	−	0.0668694i
$843$	7.37202	−	7.20950i	0.253906	−	0.248308i
$844$	−11.2674	−	6.50526i	−0.387841	−	0.223920i
$845$	−21.9024	−	15.2783i	−0.753464	−	0.525590i
$846$	−18.7172	+	15.0075i	−0.643509	+	0.515969i
$847$	−9.36417	−	34.9476i	−0.321757	−	1.20081i
$848$	−2.87421	−	0.770142i	−0.0987007	−	0.0264468i
$849$	17.1516	−	2.82756i	0.588640	−	0.0970415i
$850$	−2.22545	+	0.818961i	−0.0763323	+	0.0280901i
$851$	5.71540	−	15.7029i	0.195921	−	0.538290i
$852$	14.0840	+	6.75957i	0.482509	+	0.231579i
$853$	30.5946	−	21.4226i	1.04754	−	0.733495i	0.0827634	−	0.996569i	$-0.473625\pi$
$853$	30.5946	−	21.4226i	1.04754	−	0.733495i	0.964776	+	0.263075i	$0.0847365\pi$
$854$	39.1493			1.33966
$855$	−10.6919	−	27.2155i	−0.365655	−	0.930751i
$856$	−7.79212			−0.266329
$857$	21.0099	−	14.7113i	0.717686	−	0.502529i	−0.156770	−	0.987635i	$-0.550108\pi$
$857$	21.0099	−	14.7113i	0.717686	−	0.502529i	0.874455	+	0.485106i	$0.161219\pi$
$858$	3.22493	+	1.54780i	0.110097	+	0.0528410i
$859$	17.2424	−	47.3730i	0.588302	−	1.61635i	−0.185305	−	0.982681i	$-0.559327\pi$
$859$	17.2424	−	47.3730i	0.588302	−	1.61635i	0.773607	−	0.633665i	$-0.218450\pi$
$860$	−9.44179	+	3.45553i	−0.321962	+	0.117833i
$861$	60.1394	−	9.91440i	2.04954	−	0.337882i
$862$	−5.89025	−	1.57829i	−0.200623	−	0.0537567i
$863$	1.35479	+	5.05615i	0.0461176	+	0.172113i	0.985143	−	0.171733i	$-0.0549367\pi$
$863$	1.35479	+	5.05615i	0.0461176	+	0.172113i	−0.939026	+	0.343846i	$0.888270\pi$
$864$	−0.730730	−	5.14451i	−0.0248599	−	0.175020i
$865$	−8.07548	−	45.3274i	−0.274575	−	1.54118i
$866$	2.69813	+	1.55777i	0.0916864	+	0.0529351i
$867$	20.7729	−	20.3149i	0.705484	−	0.689931i
$868$	28.4960	+	2.49307i	0.967216	+	0.0846204i
$869$	13.6415	−	4.96511i	0.462757	−	0.168430i
$870$	−2.68159	+	27.6630i	−0.0909145	+	0.937864i
$871$	−10.7170	−	8.99264i	−0.363132	−	0.304704i
$872$	−2.77536	+	1.94333i	−0.0939855	+	0.0658094i
$873$	−4.23455	+	14.5025i	−0.143318	+	0.490834i
$874$	9.49264	−	23.0575i	0.321093	−	0.779931i
$875$	0.309404	+	58.0693i	0.0104598	+	1.96310i
$876$	−4.09606	−	3.51553i	−0.138393	−	0.118779i
$877$	1.41436	−	0.123740i	0.0477595	−	0.00417841i	−0.0632510	−	0.997998i	$-0.520147\pi$
$877$	1.41436	−	0.123740i	0.0477595	−	0.00417841i	0.111010	+	0.993819i	$0.464591\pi$
$878$	−9.65980	+	4.50444i	−0.326002	+	0.152017i
$879$	−9.58423	+	51.0228i	−0.323268	+	1.72096i
$880$	−0.383485	+	4.47477i	−0.0129273	+	0.150844i
$881$	31.0031	−	17.8997i	1.04452	−	0.603055i	0.123411	−	0.992356i	$-0.460617\pi$
$881$	31.0031	−	17.8997i	1.04452	−	0.603055i	0.921111	+	0.389301i	$0.127283\pi$
$882$	−41.4227	−	43.3118i	−1.39477	−	1.45838i
$883$	−5.72653	+	8.17833i	−0.192713	+	0.275223i	−0.903867	−	0.427813i	$-0.859284\pi$
$883$	−5.72653	+	8.17833i	−0.192713	+	0.275223i	0.711154	+	0.703036i	$0.248173\pi$
$884$	0.0846830	+	0.480261i	0.00284820	+	0.0161529i
$885$	−36.2121	+	20.4571i	−1.21726	+	0.687657i
$886$	1.85685	+	3.21615i	0.0623820	+	0.108049i
$887$	−6.55584	−	0.573561i	−0.220123	−	0.0192583i	−0.0234395	−	0.999725i	$-0.507462\pi$
$887$	−6.55584	−	0.573561i	−0.220123	−	0.0192583i	−0.196684	+	0.980467i	$0.563017\pi$
$888$	−2.85573	−	4.17673i	−0.0958322	−	0.140162i
$889$	24.3985	−	67.0344i	0.818301	−	2.24826i
$890$	−9.61115	+	11.4955i	−0.322166	+	0.385331i
$891$	12.2250	−	13.3159i	0.409554	−	0.446099i
$892$	−18.2652	+	18.2652i	−0.611563	+	0.611563i
$893$	−16.0290	+	30.9538i	−0.536389	+	1.03583i
$894$	−5.39286	−	3.19423i	−0.180364	−	0.106831i
$895$	17.6515	−	12.4065i	0.590025	−	0.414704i
$896$	3.33860	−	3.97879i	0.111535	−	0.132922i
$897$	10.1388	+	1.00101i	0.338525	+	0.0334229i
$898$	18.4514	+	8.60404i	0.615732	+	0.287121i
$899$	−30.2747	+	25.4035i	−1.00972	+	0.847255i
$900$	12.8476	+	7.74209i	0.428252	+	0.258070i
$901$	0.705620	−	1.22217i	0.0235076	−	0.0407164i
$902$	−7.80530	+	11.1471i	−0.259888	+	0.371159i
$903$	16.6854	+	36.8488i	0.555257	+	1.22625i
$904$	−8.49973	−	4.90732i	−0.282697	−	0.163215i
$905$	0.917942	−	3.45031i	0.0305134	−	0.114692i
$906$	4.38832	−	0.723446i	0.145792	−	0.0240349i
$907$	8.60802	−	18.4600i	0.285825	−	0.612953i	−0.710004	−	0.704198i	$-0.751307\pi$
$907$	8.60802	−	18.4600i	0.285825	−	0.612953i	0.995828	+	0.0912447i	$0.0290845\pi$
$908$	18.2991	−	8.53299i	0.607276	−	0.283177i
$909$	−2.76538	+	13.8681i	−0.0917219	+	0.459977i
$910$	11.7644	+	2.05284i	0.389985	+	0.0680509i
$911$			20.1190i			0.666572i	0.942826	+	0.333286i	$0.108157\pi$
$911$			20.1190i			0.666572i	−0.942826	+	0.333286i	$0.891843\pi$
$912$	−3.99909	−	6.40369i	−0.132423	−	0.212047i
$913$	0.474295	+	0.474295i	0.0156969	+	0.0156969i
$914$	−0.745172	+	4.22608i	−0.0246481	+	0.139786i
$915$	9.72698	+	27.5244i	0.321564	+	0.909927i
$916$	−20.2584	−	7.37347i	−0.669358	−	0.243626i
$917$	−36.6408	−	17.0859i	−1.20999	−	0.564226i
$918$	2.44645	+	0.296736i	0.0807450	+	0.00979375i
$919$	7.70807	−	4.45025i	0.254266	−	0.146800i	−0.367450	−	0.930043i	$-0.619769\pi$
$919$	7.70807	−	4.45025i	0.254266	−	0.146800i	0.621716	+	0.783243i	$0.286436\pi$
$920$	3.33260	+	12.3497i	0.109873	+	0.407156i
$921$	−30.1545	−	11.3575i	−0.993623	−	0.374242i
$922$	16.5531	+	11.5906i	0.545148	+	0.381717i
$923$	2.40035	+	8.95822i	0.0790084	+	0.294863i
$924$	18.0678	+	0.201382i	0.594388	+	0.00662498i
$925$	14.5549	+	1.22131i	0.478561	+	0.0401563i
$926$	6.02990	+	16.5670i	0.198155	+	0.544426i
$927$	17.7115	+	12.9996i	0.581723	+	0.426961i
$928$	0.625433	+	7.14873i	0.0205308	+	0.234669i
$929$	5.22812	−	29.6502i	0.171529	−	0.972790i	−0.770545	−	0.637386i	$-0.780016\pi$
$929$	5.22812	−	29.6502i	0.171529	−	0.972790i	0.942074	−	0.335405i	$-0.108873\pi$
$930$	5.32729	+	20.6538i	0.174689	+	0.677266i
$931$	−80.5211	−	33.1501i	−2.63897	−	1.08645i
$932$	2.14791	+	2.14791i	0.0703572	+	0.0703572i
$933$	−56.3479	+	4.29757i	−1.84475	+	0.140696i
$934$	20.8518	−	24.8502i	0.682290	−	0.813122i
$935$	−2.00287	−	0.724958i	−0.0655008	−	0.0237087i
$936$	2.03502	−	2.31828i	0.0665167	−	0.0757753i
$937$	−2.73609	+	31.2736i	−0.0893840	+	1.02166i	0.810559	+	0.585657i	$0.199163\pi$
$937$	−2.73609	+	31.2736i	−0.0893840	+	1.02166i	−0.899943	+	0.436007i	$0.856392\pi$
$938$	−68.2592	−	18.2900i	−2.22874	−	0.597190i
$939$	−25.1363	+	14.1413i	−0.820292	+	0.461483i
$940$	−3.13639	−	17.6045i	−0.102298	−	0.574195i
$941$	−31.6445	+	5.57978i	−1.03158	+	0.181896i	−0.663717	−	0.747984i	$-0.731022\pi$
$941$	−31.6445	+	5.57978i	−1.03158	+	0.181896i	−0.367865	+	0.929879i	$0.619911\pi$
$942$	−8.76333	+	31.3053i	−0.285525	+	1.01998i
$943$	−10.0312	+	37.4370i	−0.326661	+	1.21912i
$944$	−8.22635	+	6.90273i	−0.267745	+	0.224665i
$945$	27.2228	−	53.8593i	0.885558	−	1.75204i
$946$	−8.48644	−	3.08881i	−0.275918	−	0.100426i
$947$	−0.809764	−	9.25565i	−0.0263138	−	0.300768i	−0.997935	−	0.0642271i	$-0.979542\pi$
$947$	−0.809764	−	9.25565i	−0.0263138	−	0.300768i	0.971622	−	0.236541i	$-0.0760138\pi$
$948$	−0.952024	−	12.4826i	−0.0309203	−	0.405414i
$949$		−	3.20449i		−	0.104022i
$950$	21.6239	+	2.72146i	0.701572	+	0.0882958i
$951$	−23.5788	−	13.9659i	−0.764595	−	0.452875i
$952$	1.41291	+	2.01785i	0.0457928	+	0.0653988i
$953$	3.02523	−	0.264673i	0.0979968	−	0.00857361i	−0.0380519	−	0.999276i	$-0.512115\pi$
$953$	3.02523	−	0.264673i	0.0979968	−	0.00857361i	0.136049	+	0.990702i	$0.456560\pi$
$954$	−8.82354	+	1.35379i	−0.285673	+	0.0438306i
$955$	4.93696	−	10.6366i	0.159756	−	0.344193i
$956$	−9.57181	−	11.4072i	−0.309574	−	0.368936i
$957$	−17.8481	+	17.4546i	−0.576947	+	0.564228i
$958$	35.6627	−	9.55579i	1.15221	−	0.308733i
$959$	6.59288	+	37.3901i	0.212895	+	1.20739i
$960$	3.62684	+	1.35868i	0.117056	+	0.0438512i
$961$	0.334622	−	0.579583i	0.0107943	−	0.0186962i
$962$	0.777423	−	2.90138i	0.0250651	−	0.0935443i
$963$	−21.4011	+	9.40461i	−0.689642	+	0.303059i
$964$	−3.21991	−	8.84663i	−0.103706	−	0.284931i
$965$	17.5882	−	48.5915i	0.566184	−	1.56422i
$966$	48.5522	−	17.0612i	1.56214	−	0.548934i
$967$	33.9314	+	48.4591i	1.09116	+	1.55834i	0.798374	+	0.602161i	$0.205694\pi$
$967$	33.9314	+	48.4591i	1.09116	+	1.55834i	0.292787	+	0.956178i	$0.405417\pi$
$968$	4.92562	−	4.92562i	0.158315	−	0.158315i
$969$	3.42449	−	1.04597i	0.110010	−	0.0336014i
$970$	−7.97677	−	7.94848i	−0.256119	−	0.255210i
$971$	21.2821	+	3.75260i	0.682974	+	0.120427i	0.504361	−	0.863493i	$-0.331728\pi$
$971$	21.2821	+	3.75260i	0.682974	+	0.120427i	0.178613	+	0.983919i	$0.442839\pi$
$972$	−8.21606	−	13.2475i	−0.263530	−	0.424914i
$973$	−24.7564	−	53.0903i	−0.793654	−	1.70200i
$974$	28.5219	−	10.3811i	0.913900	−	0.332632i
$975$	1.47969	+	8.78113i	0.0473880	+	0.281221i
$976$	3.76874	+	6.52765i	0.120634	+	0.208945i
$977$	−26.8151	+	7.18508i	−0.857890	+	0.229871i	−0.660844	−	0.750523i	$-0.729802\pi$
$977$	−26.8151	+	7.18508i	−0.857890	+	0.229871i	−0.197046	+	0.980394i	$0.563135\pi$
$978$	14.1160	−	6.39185i	0.451380	−	0.204389i
$979$	−13.2547	+	2.33716i	−0.423622	+	0.0746960i
$980$	43.1274	−	11.6381i	1.37765	−	0.371765i
$981$	−5.27707	+	8.68705i	−0.168484	+	0.277356i
$982$	−0.330681	+	3.77970i	−0.0105525	+	0.120615i
$983$	−7.82631	+	16.7836i	−0.249621	+	0.535313i	−0.990694	−	0.136111i	$-0.956539\pi$
$983$	−7.82631	+	16.7836i	−0.249621	+	0.535313i	0.741073	+	0.671425i	$0.234317\pi$
$984$	7.44248	+	9.07307i	0.237257	+	0.289239i
$985$	−13.0476	+	15.6057i	−0.415731	+	0.497240i
$986$	−3.35168	−	0.590992i	−0.106739	−	0.0188210i
$987$	−69.6937	+	17.8443i	−2.21837	+	0.567989i
$988$	1.33858	−	4.27749i	0.0425858	−	0.136085i
$989$	−25.7216			−0.817900
$990$	4.34753	+	12.7528i	0.138173	+	0.405312i
$991$	25.4228	+	21.3322i	0.807580	+	0.677640i	0.950029	−	0.312162i	$-0.101053\pi$
$991$	25.4228	+	21.3322i	0.807580	+	0.677640i	−0.142449	+	0.989802i	$0.545498\pi$
$992$	2.32750	+	4.99134i	0.0738982	+	0.158475i
$993$	40.5139	−	27.7004i	1.28567	−	0.879045i
$994$	30.1123	+	35.8864i	0.955103	+	1.13825i
$995$	−44.8881	−	11.9423i	−1.42305	−	0.378597i
$996$	0.504126	−	0.283613i	0.0159738	−	0.00898663i
$997$	−19.7302	−	13.8152i	−0.624860	−	0.437532i	0.217788	−	0.975996i	$-0.430116\pi$
$997$	−19.7302	−	13.8152i	−0.624860	−	0.437532i	−0.842648	+	0.538464i	$0.819005\pi$
$998$	8.68765	+	6.08316i	0.275003	+	0.192559i
$999$	−12.8843	−	8.02471i	−0.407643	−	0.253891i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.473.4	yes	480
3.2	odd	2	inner	570.2.bi.a.473.37	yes	480
5.2	odd	4	inner	570.2.bi.a.17.8	✓	480
15.2	even	4	inner	570.2.bi.a.17.26	yes	480
19.9	even	9	inner	570.2.bi.a.503.26	yes	480
57.47	odd	18	inner	570.2.bi.a.503.8	yes	480
95.47	odd	36	inner	570.2.bi.a.47.37	yes	480
285.47	even	36	inner	570.2.bi.a.47.4	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.17.8	✓	480	5.2	odd	4	inner
570.2.bi.a.17.26	yes	480	15.2	even	4	inner
570.2.bi.a.47.4	yes	480	285.47	even	36	inner
570.2.bi.a.47.37	yes	480	95.47	odd	36	inner
570.2.bi.a.473.4	yes	480	1.1	even	1	trivial
570.2.bi.a.473.37	yes	480	3.2	odd	2	inner
570.2.bi.a.503.8	yes	480	57.47	odd	18	inner
570.2.bi.a.503.26	yes	480	19.9	even	9	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.819152 + 0.573576i) q^{2} +(-1.56152 - 0.749446i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.02824 + 0.941402i) q^{5} +(1.70898 - 0.281738i) q^{6} +(5.01697 + 1.34429i) q^{7} +(0.258819 + 0.965926i) q^{8} +(1.87666 + 2.34054i) q^{9} +O(q^{10})\)	\(q+(-0.819152 + 0.573576i) q^{2} +(-1.56152 - 0.749446i) q^{3} +(0.342020 - 0.939693i) q^{4} +(2.02824 + 0.941402i) q^{5} +(1.70898 - 0.281738i) q^{6} +(5.01697 + 1.34429i) q^{7} +(0.258819 + 0.965926i) q^{8} +(1.87666 + 2.34054i) q^{9} +(-2.20140 + 0.392200i) q^{10} +(-1.73942 - 1.00426i) q^{11} +(-1.23832 + 1.21102i) q^{12} +(-1.02434 - 0.0896181i) q^{13} +(-4.88071 + 1.77643i) q^{14} +(-2.46160 - 2.99007i) q^{15} +(-0.766044 - 0.642788i) q^{16} +(0.388500 - 0.272031i) q^{17} +(-2.87975 - 0.840853i) q^{18} +(-4.32037 + 0.578248i) q^{19} +(1.57833 - 1.58394i) q^{20} +(-6.82660 - 5.85908i) q^{21} +(2.00087 - 0.175053i) q^{22} +(5.18453 - 2.41759i) q^{23} +(0.319760 - 1.70228i) q^{24} +(3.22752 + 3.81878i) q^{25} +(0.890492 - 0.514126i) q^{26} +(-1.17632 - 5.06125i) q^{27} +(2.97912 - 4.25463i) q^{28} +(1.24611 + 7.06702i) q^{29} +(3.73146 + 1.03741i) q^{30} +(2.75367 + 4.76949i) q^{31} +(0.996195 + 0.0871557i) q^{32} +(1.96350 + 2.87177i) q^{33} +(-0.162210 + 0.445669i) q^{34} +(8.91010 + 7.44953i) q^{35} +(2.84125 - 0.962971i) q^{36} +(2.06560 - 2.06560i) q^{37} +(3.20737 - 2.95174i) q^{38} +(1.53236 + 0.907627i) q^{39} +(-0.384377 + 2.20278i) q^{40} +(-4.35503 + 5.19012i) q^{41} +(8.95265 + 0.883902i) q^{42} +(-4.07512 - 1.90026i) q^{43} +(-1.53861 + 1.29105i) q^{44} +(1.60293 + 6.51388i) q^{45} +(-2.86025 + 4.95409i) q^{46} +(4.58685 - 6.55070i) q^{47} +(0.714455 + 1.57783i) q^{48} +(17.3007 + 9.98854i) q^{49} +(-4.83420 - 1.27693i) q^{50} +(-0.810521 + 0.133620i) q^{51} +(-0.434558 + 0.931913i) q^{52} +(2.69681 - 1.25754i) q^{53} +(3.86660 + 3.47122i) q^{54} +(-2.58256 - 3.67437i) q^{55} +5.19395i q^{56} +(7.17970 + 2.33494i) q^{57} +(-5.07423 - 5.07423i) q^{58} +(1.86476 - 10.5756i) q^{59} +(-3.65166 + 1.29048i) q^{60} +(-7.08291 - 2.57797i) q^{61} +(-4.99134 - 2.32750i) q^{62} +(6.26877 + 14.2652i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-1.99324 - 1.14608i) q^{65} +(-3.25558 - 1.22620i) q^{66} +(11.1451 + 7.80390i) q^{67} +(-0.122750 - 0.458111i) q^{68} +(-9.90757 - 0.110429i) q^{69} +(-11.5716 - 0.991678i) q^{70} +(-3.08482 - 8.47548i) q^{71} +(-1.77508 + 2.41849i) q^{72} +(0.271616 + 3.10459i) q^{73} +(-0.507261 + 2.87682i) q^{74} +(-2.17786 - 8.38194i) q^{75} +(-0.934280 + 4.25760i) q^{76} +(-7.37662 - 7.37662i) q^{77} +(-1.77583 + 0.135440i) q^{78} +(-4.64590 + 5.53677i) q^{79} +(-0.948601 - 2.02488i) q^{80} +(-1.95629 + 8.78481i) q^{81} +(0.590500 - 6.74944i) q^{82} +(-0.322576 - 0.0864341i) q^{83} +(-7.84057 + 4.41098i) q^{84} +(1.04406 - 0.186009i) q^{85} +(4.42809 - 0.780792i) q^{86} +(3.35054 - 11.9692i) q^{87} +(0.519842 - 1.94008i) q^{88} +(5.13331 - 4.30736i) q^{89} +(-5.04925 - 4.41646i) q^{90} +(-5.01860 - 1.82662i) q^{91} +(-0.498574 - 5.69873i) q^{92} +(-0.725417 - 9.51136i) q^{93} +7.99693i q^{94} +(-9.30712 - 2.89438i) q^{95} +(-1.49025 - 0.882689i) q^{96} +(2.88854 + 4.12526i) q^{97} +(-19.9011 + 1.74112i) q^{98} +(-0.913801 - 5.95585i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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