LMFDB - Embedded newform 170.2.r.b.107.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(23,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 15]))

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

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

chi := DirichletCharacter("170.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.r (of order $16$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			107.3
Character	$\chi$	$=$	170.107
Dual form			170.2.r.b.143.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.382683 + 0.923880i) q^{2} +(-0.706293 - 0.140490i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.971395 - 2.01405i) q^{5} +(0.400083 - 0.598766i) q^{6} +(1.70679 - 2.55439i) q^{7} +(0.923880 - 0.382683i) q^{8} +(-2.29253 - 0.949595i) q^{9} +O(q^{10})$	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.706293 - 0.140490i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.971395 - 2.01405i) q^{5} +(0.400083 - 0.598766i) q^{6} +(1.70679 - 2.55439i) q^{7} +(0.923880 - 0.382683i) q^{8} +(-2.29253 - 0.949595i) q^{9} +(2.23248 - 0.126709i) q^{10} +(-1.25535 - 0.838799i) q^{11} +(0.400083 + 0.598766i) q^{12} +5.77245 q^{13} +(1.70679 + 2.55439i) q^{14} +(0.403135 + 1.55898i) q^{15} +1.00000i q^{16} +(-0.809263 - 4.04291i) q^{17} +(1.75462 - 1.75462i) q^{18} +(-1.58024 + 0.654556i) q^{19} +(-0.737267 + 2.11103i) q^{20} +(-1.56436 + 1.56436i) q^{21} +(1.25535 - 0.838799i) q^{22} +(0.204506 + 1.02812i) q^{23} +(-0.706293 + 0.140490i) q^{24} +(-3.11278 + 3.91288i) q^{25} +(-2.20902 + 5.33305i) q^{26} +(3.28209 + 2.19302i) q^{27} +(-3.01311 + 0.599344i) q^{28} +(0.749985 - 3.77043i) q^{29} +(-1.59458 - 0.224147i) q^{30} +(-3.73367 + 2.49476i) q^{31} +(-0.923880 - 0.382683i) q^{32} +(0.768803 + 0.768803i) q^{33} +(4.04485 + 0.799492i) q^{34} +(-6.80263 - 0.956232i) q^{35} +(0.949595 + 2.29253i) q^{36} +(1.49938 - 7.53788i) q^{37} -1.71044i q^{38} +(-4.07704 - 0.810974i) q^{39} +(-1.66820 - 1.48900i) q^{40} +(-0.447311 - 2.24878i) q^{41} +(-0.846625 - 2.04393i) q^{42} +(2.77166 + 6.69137i) q^{43} +(0.294547 + 1.48079i) q^{44} +(0.314418 + 5.53969i) q^{45} +(-1.02812 - 0.204506i) q^{46} +10.8057i q^{47} +(0.140490 - 0.706293i) q^{48} +(-0.932993 - 2.25244i) q^{49} +(-2.42382 - 4.37323i) q^{50} +(0.00358688 + 2.96917i) q^{51} +(-4.08174 - 4.08174i) q^{52} +(-2.42783 - 1.00564i) q^{53} +(-3.28209 + 2.19302i) q^{54} +(-0.469939 + 3.34315i) q^{55} +(0.599344 - 3.01311i) q^{56} +(1.20807 - 0.240300i) q^{57} +(3.19641 + 2.13578i) q^{58} +(-2.59154 + 6.25653i) q^{59} +(0.817306 - 1.38743i) q^{60} +(14.3590 - 2.85619i) q^{61} +(-0.876042 - 4.40416i) q^{62} +(-6.33849 + 4.23525i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-5.60733 - 11.6260i) q^{65} +(-1.00449 + 0.416073i) q^{66} +(11.0963 - 11.0963i) q^{67} +(-2.28653 + 3.43100i) q^{68} -0.754886i q^{69} +(3.48670 - 5.91888i) q^{70} +(6.97663 + 10.4413i) q^{71} -2.48141 q^{72} +(1.30215 + 1.94880i) q^{73} +(6.39030 + 4.26986i) q^{74} +(2.74826 - 2.32632i) q^{75} +(1.58024 + 0.654556i) q^{76} +(-4.28524 + 1.77500i) q^{77} +(2.30946 - 3.45635i) q^{78} +(1.89121 - 2.83039i) q^{79} +(2.01405 - 0.971395i) q^{80} +(3.25385 + 3.25385i) q^{81} +(2.24878 + 0.447311i) q^{82} +(5.71618 - 13.8001i) q^{83} +2.21234 q^{84} +(-7.35650 + 5.55716i) q^{85} -7.24269 q^{86} +(-1.05942 + 2.55766i) q^{87} +(-1.48079 - 0.294547i) q^{88} +(-3.10517 - 3.10517i) q^{89} +(-5.23833 - 1.82946i) q^{90} +(9.85235 - 14.7451i) q^{91} +(0.582384 - 0.871599i) q^{92} +(2.98755 - 1.23749i) q^{93} +(-9.98315 - 4.13515i) q^{94} +(2.85334 + 2.54684i) q^{95} +(0.598766 + 0.400083i) q^{96} +(8.08022 + 12.0929i) q^{97} +2.43803 q^{98} +(2.08141 + 3.11505i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) $ 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{5}{16}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	−0.382683	+	0.923880i	−0.270598	+	0.653281i
$2$	−0.382683	+	0.923880i	−0.270598	+	0.653281i
$3$	−0.706293	−	0.140490i	−0.407778	−	0.0811122i	−0.0130610	−	0.999915i	$-0.504158\pi$
$3$	−0.706293	−	0.140490i	−0.407778	−	0.0811122i	−0.394718	+	0.918803i	$0.629158\pi$
$4$	−0.707107	−	0.707107i	−0.353553	−	0.353553i
$5$	−0.971395	−	2.01405i	−0.434421	−	0.900710i
$5$	−0.971395	−	2.01405i	−0.434421	−	0.900710i
$6$	0.400083	−	0.598766i	0.163333	−	0.244445i
$7$	1.70679	−	2.55439i	0.645105	−	0.965468i	−0.354433	−	0.935081i	$-0.615326\pi$
$7$	1.70679	−	2.55439i	0.645105	−	0.965468i	0.999538	−	0.0303868i	$-0.00967391\pi$
$8$	0.923880	−	0.382683i	0.326641	−	0.135299i
$9$	−2.29253	−	0.949595i	−0.764175	−	0.316532i
$10$	2.23248	−	0.126709i	0.705971	−	0.0400691i
$11$	−1.25535	−	0.838799i	−0.378503	−	0.252907i	0.351736	−	0.936099i	$-0.385591\pi$
$11$	−1.25535	−	0.838799i	−0.378503	−	0.252907i	−0.730239	+	0.683192i	$0.760591\pi$
$12$	0.400083	+	0.598766i	0.115494	+	0.172849i
$13$	5.77245			1.60099			0.800495	−	0.599340i	$-0.204570\pi$
$13$	5.77245			1.60099			0.800495	+	0.599340i	$0.204570\pi$
$14$	1.70679	+	2.55439i	0.456158	+	0.682689i
$15$	0.403135	+	1.55898i	0.104089	+	0.402527i
$16$			1.00000i			0.250000i
$17$	−0.809263	−	4.04291i	−0.196275	−	0.980549i
$17$	−0.809263	−	4.04291i	−0.196275	−	0.980549i
$18$	1.75462	−	1.75462i	0.413569	−	0.413569i
$19$	−1.58024	+	0.654556i	−0.362532	+	0.150166i	−0.556511	−	0.830840i	$-0.687860\pi$
$19$	−1.58024	+	0.654556i	−0.362532	+	0.150166i	0.193980	+	0.981006i	$0.437860\pi$
$20$	−0.737267	+	2.11103i	−0.164858	+	0.472040i
$21$	−1.56436	+	1.56436i	−0.341371	+	0.341371i
$22$	1.25535	−	0.838799i	0.267642	−	0.178833i
$23$	0.204506	+	1.02812i	0.0426424	+	0.214378i	0.996232	−	0.0867327i	$-0.0276426\pi$
$23$	0.204506	+	1.02812i	0.0426424	+	0.214378i	−0.953589	+	0.301111i	$0.902643\pi$
$24$	−0.706293	+	0.140490i	−0.144171	+	0.0286775i
$25$	−3.11278	+	3.91288i	−0.622556	+	0.782575i
$26$	−2.20902	+	5.33305i	−0.433225	+	1.04590i
$27$	3.28209	+	2.19302i	0.631638	+	0.422047i
$28$	−3.01311	+	0.599344i	−0.569424	+	0.113265i
$29$	0.749985	−	3.77043i	0.139269	−	0.700151i	−0.846546	−	0.532315i	$-0.821322\pi$
$29$	0.749985	−	3.77043i	0.139269	−	0.700151i	0.985815	−	0.167836i	$-0.0536778\pi$
$30$	−1.59458	−	0.224147i	−0.291130	−	0.0409235i
$31$	−3.73367	+	2.49476i	−0.670587	+	0.448072i	−0.843689	−	0.536832i	$-0.819621\pi$
$31$	−3.73367	+	2.49476i	−0.670587	+	0.448072i	0.173102	+	0.984904i	$0.444621\pi$
$32$	−0.923880	−	0.382683i	−0.163320	−	0.0676495i
$33$	0.768803	+	0.768803i	0.133831	+	0.133831i
$34$	4.04485	+	0.799492i	0.693686	+	0.137112i
$35$	−6.80263	−	0.956232i	−1.14985	−	0.161633i
$36$	0.949595	+	2.29253i	0.158266	+	0.382088i
$37$	1.49938	−	7.53788i	0.246496	−	1.23922i	−0.637031	−	0.770839i	$-0.719838\pi$
$37$	1.49938	−	7.53788i	0.246496	−	1.23922i	0.883527	−	0.468381i	$-0.155162\pi$
$38$		−	1.71044i		−	0.277470i
$39$	−4.07704	−	0.810974i	−0.652849	−	0.129860i
$40$	−1.66820	−	1.48900i	−0.263765	−	0.235432i
$41$	−0.447311	−	2.24878i	−0.0698582	−	0.351201i	0.930008	−	0.367538i	$-0.119799\pi$
$41$	−0.447311	−	2.24878i	−0.0698582	−	0.351201i	−0.999867	+	0.0163375i	$0.994799\pi$
$42$	−0.846625	−	2.04393i	−0.130637	−	0.315386i
$43$	2.77166	+	6.69137i	0.422674	+	1.02042i	0.981556	+	0.191177i	$0.0612305\pi$
$43$	2.77166	+	6.69137i	0.422674	+	1.02042i	−0.558882	+	0.829247i	$0.688769\pi$
$44$	0.294547	+	1.48079i	0.0444047	+	0.223237i
$45$	0.314418	+	5.53969i	0.0468707	+	0.825808i
$46$	−1.02812	−	0.204506i	−0.151588	−	0.0301528i
$47$			10.8057i			1.57617i	0.615566	+	0.788085i	$0.288927\pi$
$47$			10.8057i			1.57617i	−0.615566	+	0.788085i	$0.711073\pi$
$48$	0.140490	−	0.706293i	0.0202780	−	0.101945i
$49$	−0.932993	−	2.25244i	−0.133285	−	0.321778i
$50$	−2.42382	−	4.37323i	−0.342779	−	0.618468i
$51$	0.00358688	+	2.96917i	0.000502264	+	0.415767i
$52$	−4.08174	−	4.08174i	−0.566035	−	0.566035i
$53$	−2.42783	−	1.00564i	−0.333489	−	0.138135i	0.209655	−	0.977775i	$-0.432766\pi$
$53$	−2.42783	−	1.00564i	−0.333489	−	0.138135i	−0.543143	+	0.839640i	$0.682766\pi$
$54$	−3.28209	+	2.19302i	−0.446635	+	0.298432i
$55$	−0.469939	+	3.34315i	−0.0633666	+	0.450790i
$56$	0.599344	−	3.01311i	0.0800907	−	0.402643i
$57$	1.20807	−	0.240300i	0.160013	−	0.0318285i
$58$	3.19641	+	2.13578i	0.419710	+	0.280441i
$59$	−2.59154	+	6.25653i	−0.337390	+	0.814530i	0.660575	+	0.750760i	$0.270313\pi$
$59$	−2.59154	+	6.25653i	−0.337390	+	0.814530i	−0.997965	+	0.0637703i	$0.979687\pi$
$60$	0.817306	−	1.38743i	0.105514	−	0.179116i
$61$	14.3590	−	2.85619i	1.83848	−	0.365697i	0.851223	−	0.524804i	$-0.175861\pi$
$61$	14.3590	−	2.85619i	1.83848	−	0.365697i	0.987261	+	0.159107i	$0.0508615\pi$
$62$	−0.876042	−	4.40416i	−0.111257	−	0.559329i
$63$	−6.33849	+	4.23525i	−0.798575	+	0.533591i
$64$	0.707107	−	0.707107i	0.0883883	−	0.0883883i
$65$	−5.60733	−	11.6260i	−0.695504	−	1.44203i
$66$	−1.00449	+	0.416073i	−0.123644	+	0.0512151i
$67$	11.0963	−	11.0963i	1.35563	−	1.35563i	0.476409	−	0.879224i	$-0.341938\pi$
$67$	11.0963	−	11.0963i	1.35563	−	1.35563i	0.879224	−	0.476409i	$-0.158062\pi$
$68$	−2.28653	+	3.43100i	−0.277283	+	0.416070i
$69$		−	0.754886i		−	0.0908776i
$70$	3.48670	−	5.91888i	0.416740	−	0.707441i
$71$	6.97663	+	10.4413i	0.827974	+	1.23915i	0.968485	+	0.249072i	$0.0801255\pi$
$71$	6.97663	+	10.4413i	0.827974	+	1.23915i	−0.140511	+	0.990079i	$0.544875\pi$
$72$	−2.48141			−0.292437
$73$	1.30215	+	1.94880i	0.152405	+	0.228090i	0.899814	−	0.436275i	$-0.143702\pi$
$73$	1.30215	+	1.94880i	0.152405	+	0.228090i	−0.747409	+	0.664364i	$0.768702\pi$
$74$	6.39030	+	4.26986i	0.742858	+	0.496362i
$75$	2.74826	−	2.32632i	0.317341	−	0.268620i
$76$	1.58024	+	0.654556i	0.181266	+	0.0750828i
$77$	−4.28524	+	1.77500i	−0.488348	+	0.202280i
$78$	2.30946	−	3.45635i	0.261495	−	0.391354i
$79$	1.89121	−	2.83039i	0.212777	−	0.318444i	−0.709694	−	0.704510i	$-0.751167\pi$
$79$	1.89121	−	2.83039i	0.212777	−	0.318444i	0.922471	+	0.386067i	$0.126167\pi$
$80$	2.01405	−	0.971395i	0.225177	−	0.108605i
$81$	3.25385	+	3.25385i	0.361539	+	0.361539i
$82$	2.24878	+	0.447311i	0.248337	+	0.0493972i
$83$	5.71618	−	13.8001i	0.627433	−	1.51476i	−0.215369	−	0.976533i	$-0.569095\pi$
$83$	5.71618	−	13.8001i	0.627433	−	1.51476i	0.842802	−	0.538224i	$-0.180905\pi$
$84$	2.21234			0.241386
$85$	−7.35650	+	5.55716i	−0.797924	+	0.602758i
$86$	−7.24269			−0.780999
$87$	−1.05942	+	2.55766i	−0.113582	+	0.274210i
$88$	−1.48079	−	0.294547i	−0.157853	−	0.0313988i
$89$	−3.10517	−	3.10517i	−0.329147	−	0.329147i	0.523115	−	0.852262i	$-0.324770\pi$
$89$	−3.10517	−	3.10517i	−0.329147	−	0.329147i	−0.852262	+	0.523115i	$0.824770\pi$
$90$	−5.23833	−	1.82946i	−0.552169	−	0.192842i
$91$	9.85235	−	14.7451i	1.03281	−	1.54570i
$92$	0.582384	−	0.871599i	0.0607177	−	0.0908705i
$93$	2.98755	−	1.23749i	0.309795	−	0.128321i
$94$	−9.98315	−	4.13515i	−1.02968	−	0.426509i
$95$	2.85334	+	2.54684i	0.292747	+	0.261301i
$96$	0.598766	+	0.400083i	0.0611113	+	0.0408333i
$97$	8.08022	+	12.0929i	0.820422	+	1.22785i	0.970959	+	0.239244i	$0.0768997\pi$
$97$	8.08022	+	12.0929i	0.820422	+	1.22785i	−0.150537	+	0.988604i	$0.548100\pi$
$98$	2.43803			0.246278
$99$	2.08141	+	3.11505i	0.209189	+	0.313074i
$100$	4.96789	−	0.565751i	0.496789	−	0.0565751i
$101$		−	2.03529i		−	0.202519i	−0.994860	−	0.101259i	$-0.967713\pi$
$101$		−	2.03529i		−	0.202519i	0.994860	−	0.101259i	$-0.0322872\pi$
$102$	−2.74453	−	1.13294i	−0.271749	−	0.112178i
$103$	−7.61537	+	7.61537i	−0.750365	+	0.750365i	−0.974547	−	0.224183i	$-0.928029\pi$
$103$	−7.61537	+	7.61537i	−0.750365	+	0.750365i	0.224183	+	0.974547i	$0.428029\pi$
$104$	5.33305	−	2.20902i	0.522948	−	0.216612i
$105$	4.67031	+	1.63108i	0.455775	+	0.159178i
$106$	1.85818	−	1.85818i	0.180483	−	0.180483i
$107$	1.85845	−	1.24177i	0.179663	−	0.120047i	−0.462487	−	0.886626i	$-0.653043\pi$
$107$	1.85845	−	1.24177i	0.179663	−	0.120047i	0.642150	+	0.766579i	$0.278043\pi$
$108$	−0.770086	−	3.87148i	−0.0741016	−	0.372534i
$109$	4.02127	−	0.799881i	0.385168	−	0.0766147i	0.00129174	−	0.999999i	$-0.499589\pi$
$109$	4.02127	−	0.799881i	0.385168	−	0.0766147i	0.383877	+	0.923384i	$0.374589\pi$
$110$	−2.90883	−	1.71353i	−0.277346	−	0.163379i
$111$	−2.11800	+	5.11330i	−0.201032	+	0.485333i
$112$	2.55439	+	1.70679i	0.241367	+	0.161276i
$113$	0.318143	−	0.0632826i	0.0299284	−	0.00595313i	−0.180103	−	0.983648i	$-0.557643\pi$
$113$	0.318143	−	0.0632826i	0.0299284	−	0.00595313i	0.210032	+	0.977695i	$0.432643\pi$
$114$	−0.240300	+	1.20807i	−0.0225062	+	0.113146i
$115$	1.87203	−	1.41060i	0.174568	−	0.131539i
$116$	−3.19641	+	2.13578i	−0.296780	+	0.198302i
$117$	−13.2335	−	5.48149i	−1.22344	−	0.506764i
$118$	−4.78854	−	4.78854i	−0.440821	−	0.440821i
$119$	−11.7084	−	4.83321i	−1.07331	−	0.443060i
$120$	0.969044	+	1.28604i	0.0884612	+	0.117399i
$121$	−3.33719	−	8.05670i	−0.303381	−	0.732427i
$122$	−2.85619	+	14.3590i	−0.258587	+	1.30000i
$123$			1.65114i			0.148879i
$124$	4.40416	+	0.876042i	0.395505	+	0.0786709i
$125$	10.9045	+	2.46834i	0.975325	+	0.220775i
$126$	−1.48722	−	7.47676i	−0.132492	−	0.666083i
$127$	−2.28111	−	5.50709i	−0.202416	−	0.488675i	0.789776	−	0.613395i	$-0.210197\pi$
$127$	−2.28111	−	5.50709i	−0.202416	−	0.488675i	−0.992192	+	0.124720i	$0.960197\pi$
$128$	0.382683	+	0.923880i	0.0338248	+	0.0816602i
$129$	−1.01753	−	5.11546i	−0.0895884	−	0.450391i
$130$	12.8869	−	0.731424i	1.13025	−	0.0641501i
$131$	−7.45420	−	1.48273i	−0.651277	−	0.129547i	−0.141615	−	0.989922i	$-0.545229\pi$
$131$	−7.45420	−	1.48273i	−0.651277	−	0.129547i	−0.509662	+	0.860375i	$0.670229\pi$
$132$		−	1.08725i		−	0.0946331i
$133$	−1.02514	+	5.15373i	−0.0888910	+	0.446885i
$134$	6.00529	+	14.4981i	0.518778	+	1.25244i
$135$	1.22864	−	8.74057i	0.105745	−	0.752268i
$136$	−2.29481	−	3.42547i	−0.196779	−	0.293731i
$137$	3.84403	+	3.84403i	0.328418	+	0.328418i	0.851985	−	0.523567i	$-0.175399\pi$
$137$	3.84403	+	3.84403i	0.328418	+	0.328418i	−0.523567	+	0.851985i	$0.675399\pi$
$138$	0.697423	+	0.288882i	0.0593686	+	0.0245913i
$139$	−8.46592	+	5.65675i	−0.718070	+	0.479799i	−0.860140	−	0.510057i	$-0.829624\pi$
$139$	−8.46592	+	5.65675i	−0.718070	+	0.479799i	0.142070	+	0.989857i	$0.454624\pi$
$140$	4.13403	+	5.48634i	0.349389	+	0.463681i
$141$	1.51809	−	7.63198i	0.127847	−	0.642728i
$142$	−12.3163	+	2.44987i	−1.03356	+	0.205588i
$143$	−7.24646	−	4.84193i	−0.605979	−	0.404902i
$144$	0.949595	−	2.29253i	0.0791330	−	0.191044i
$145$	−8.32236	+	2.15207i	−0.691134	+	0.178720i
$146$	−2.29877	+	0.457253i	−0.190247	+	0.0378425i
$147$	0.342520	+	1.72196i	0.0282505	+	0.142025i
$148$	−6.39030	+	4.26986i	−0.525280	+	0.350981i
$149$	−4.90005	+	4.90005i	−0.401428	+	0.401428i	−0.878736	−	0.477308i	$-0.841613\pi$
$149$	−4.90005	+	4.90005i	−0.401428	+	0.401428i	0.477308	+	0.878736i	$0.341613\pi$
$150$	1.09753	+	3.42930i	0.0896127	+	0.280001i
$151$	−17.1169	+	7.09004i	−1.39295	+	0.576980i	−0.947912	−	0.318531i	$-0.896810\pi$
$151$	−17.1169	+	7.09004i	−1.39295	+	0.576980i	−0.445040	+	0.895511i	$0.646810\pi$
$152$	−1.20946	+	1.20946i	−0.0981003	+	0.0981003i
$153$	−1.98387	+	10.0369i	−0.160386	+	0.811439i
$154$		−	4.63831i		−	0.373766i
$155$	8.65143	+	5.09639i	0.694900	+	0.409352i
$156$	2.30946	+	3.45635i	0.184905	+	0.276729i
$157$	−11.5608			−0.922650			−0.461325	−	0.887231i	$-0.652626\pi$
$157$	−11.5608			−0.922650			−0.461325	+	0.887231i	$0.652626\pi$
$158$	1.89121	+	2.83039i	0.150456	+	0.225174i
$159$	1.57348	+	1.05136i	0.124785	+	0.0833787i
$160$	0.126709	+	2.23248i	0.0100173	+	0.176493i
$161$	2.97527	+	1.23240i	0.234484	+	0.0971265i
$162$	−4.25137	+	1.76097i	−0.334019	+	0.138355i
$163$	1.82905	−	2.73737i	0.143262	−	0.214407i	−0.752898	−	0.658137i	$-0.771345\pi$
$163$	1.82905	−	2.73737i	0.143262	−	0.214407i	0.896161	+	0.443729i	$0.146345\pi$
$164$	−1.27383	+	1.90643i	−0.0994697	+	0.148867i
$165$	0.801595	−	2.29522i	0.0624041	−	0.178682i
$166$	10.5621	+	10.5621i	0.819780	+	0.819780i
$167$	−9.58922	−	1.90741i	−0.742036	−	0.147600i	−0.190425	−	0.981702i	$-0.560987\pi$
$167$	−9.58922	−	1.90741i	−0.742036	−	0.147600i	−0.551611	+	0.834102i	$0.685987\pi$
$168$	−0.846625	+	2.04393i	−0.0653186	+	0.157693i
$169$	20.3212			1.56317
$170$	−2.31893	−	8.92315i	−0.177854	−	0.684374i
$171$	4.24430			0.324570
$172$	2.77166	−	6.69137i	0.211337	−	0.510212i
$173$	2.81830	+	0.560595i	0.214272	+	0.0426213i	0.301059	−	0.953606i	$-0.402660\pi$
$173$	2.81830	+	0.560595i	0.214272	+	0.0426213i	−0.0867871	+	0.996227i	$0.527660\pi$
$174$	−1.95755	−	1.95755i	−0.148401	−	0.148401i
$175$	4.68215	+	14.6297i	0.353937	+	1.10590i
$176$	0.838799	−	1.25535i	0.0632269	−	0.0946257i
$177$	2.70937	−	4.05485i	0.203649	−	0.304782i
$178$	4.05710	−	1.68051i	0.304093	−	0.125959i
$179$	19.3452	+	8.01304i	1.44593	+	0.598922i	0.961227	−	0.275758i	$-0.0889289\pi$
$179$	19.3452	+	8.01304i	1.44593	+	0.598922i	0.484700	+	0.874681i	$0.338929\pi$
$180$	3.69483	−	4.13948i	0.275396	−	0.308539i
$181$	−16.3873	−	10.9496i	−1.21806	−	0.813880i	−0.230798	−	0.973002i	$-0.574134\pi$
$181$	−16.3873	−	10.9496i	−1.21806	−	0.813880i	−0.987259	+	0.159122i	$0.949134\pi$
$182$	9.85235	+	14.7451i	0.730305	+	1.09298i
$183$	−10.5429			−0.779357
$184$	0.582384	+	0.871599i	0.0429339	+	0.0642551i
$185$	−16.6381	+	4.30244i	−1.22326	+	0.316322i
$186$			3.23370i			0.237107i
$187$	−2.37528	+	5.75408i	−0.173698	+	0.420780i
$188$	7.64077	−	7.64077i	0.557260	−	0.557260i
$189$	11.2036	−	4.64070i	0.814946	−	0.337561i
$190$	−3.44490	+	1.66151i	−0.249920	+	0.120539i
$191$	−1.20423	+	1.20423i	−0.0871353	+	0.0871353i	−0.749331	−	0.662196i	$-0.769625\pi$
$191$	−1.20423	+	1.20423i	−0.0871353	+	0.0871353i	0.662196	+	0.749331i	$0.269625\pi$
$192$	−0.598766	+	0.400083i	−0.0432122	+	0.0288735i
$193$	−0.440861	−	2.21636i	−0.0317339	−	0.159537i	0.961669	−	0.274213i	$-0.0884172\pi$
$193$	−0.440861	−	2.21636i	−0.0317339	−	0.159537i	−0.993403	+	0.114675i	$0.963417\pi$
$194$	−14.2646	+	2.83740i	−1.02414	+	0.203713i
$195$	2.32708	+	8.99914i	0.166646	+	0.644441i
$196$	−0.932993	+	2.25244i	−0.0666424	+	0.160889i
$197$	19.8358	+	13.2538i	1.41324	+	0.944297i	0.999424	+	0.0339373i	$0.0108046\pi$
$197$	19.8358	+	13.2538i	1.41324	+	0.944297i	0.413817	+	0.910360i	$0.364195\pi$
$198$	−3.67445	+	0.730893i	−0.261132	+	0.0519423i
$199$	5.00902	−	25.1820i	0.355080	−	1.78511i	−0.229017	−	0.973422i	$-0.573551\pi$
$199$	5.00902	−	25.1820i	0.355080	−	1.78511i	0.584097	−	0.811684i	$-0.301449\pi$
$200$	−1.37844	+	4.80624i	−0.0974706	+	0.339852i
$201$	−9.39619	+	6.27833i	−0.662756	+	0.442840i
$202$	1.88036	+	0.778870i	0.132302	+	0.0548011i
$203$	−8.35107	−	8.35107i	−0.586130	−	0.586130i
$204$	2.09698	−	2.10206i	0.146818	−	0.147173i
$205$	−4.09464	+	3.08536i	−0.285982	+	0.215491i
$206$	−4.12141	−	9.94996i	−0.287152	−	0.693246i
$207$	0.507464	−	2.55119i	0.0352712	−	0.177320i
$208$			5.77245i			0.400247i
$209$	2.53280	+	0.503805i	0.175197	+	0.0348489i
$210$	−3.29417	+	3.69061i	−0.227320	+	0.254677i
$211$	−0.896072	−	4.50486i	−0.0616882	−	0.310127i	0.937606	−	0.347700i	$-0.113037\pi$
$211$	−0.896072	−	4.50486i	−0.0616882	−	0.310127i	−0.999294	+	0.0375730i	$0.988037\pi$
$212$	1.00564	+	2.42783i	0.0690677	+	0.166744i
$213$	−3.46065	−	8.35475i	−0.237120	−	0.572458i
$214$	0.436053	+	2.19219i	0.0298080	+	0.149855i
$215$	10.7844	−	12.0822i	0.735488	−	0.824001i
$216$	3.87148	+	0.770086i	0.263421	+	0.0523977i
$217$			13.7953i			0.936483i
$218$	−0.799881	+	4.02127i	−0.0541748	+	0.272355i
$219$	−0.645909	−	1.55936i	−0.0436465	−	0.105372i
$220$	2.69626	−	2.03166i	0.181782	−	0.136975i
$221$	−4.67143	−	23.3375i	−0.314234	−	1.56985i
$222$	−3.91355	−	3.91355i	−0.262660	−	0.262660i
$223$	−9.65605	−	3.99967i	−0.646617	−	0.267838i	0.0351777	−	0.999381i	$-0.488800\pi$
$223$	−9.65605	−	3.99967i	−0.646617	−	0.267838i	−0.681795	+	0.731544i	$0.738800\pi$
$224$	−2.55439	+	1.70679i	−0.170672	+	0.114040i
$225$	10.8518	−	6.01449i	0.723452	−	0.400966i
$226$	−0.0632826	+	0.318143i	−0.00420950	+	0.0211626i
$227$	−2.41317	+	0.480009i	−0.160168	+	0.0318593i	−0.274523	−	0.961581i	$-0.588520\pi$
$227$	−2.41317	+	0.480009i	−0.160168	+	0.0318593i	0.114355	+	0.993440i	$0.463520\pi$
$228$	−1.02415	−	0.684317i	−0.0678262	−	0.0453200i
$229$	−7.14030	+	17.2382i	−0.471844	+	1.13913i	0.491503	+	0.870876i	$0.336448\pi$
$229$	−7.14030	+	17.2382i	−0.471844	+	1.13913i	−0.963347	+	0.268257i	$0.913552\pi$
$230$	0.586827	+	2.26934i	0.0386942	+	0.149636i
$231$	3.27601	−	0.651638i	0.215545	−	0.0428746i
$232$	−0.749985	−	3.77043i	−0.0492389	−	0.247541i
$233$	17.5580	−	11.7319i	1.15027	−	0.768583i	0.173912	−	0.984761i	$-0.444359\pi$
$233$	17.5580	−	11.7319i	1.15027	−	0.768583i	0.976354	+	0.216178i	$0.0693593\pi$
$234$	10.1285	−	10.1285i	0.662119	−	0.662119i
$235$	21.7632	−	10.4966i	1.41967	−	0.684722i
$236$	6.25653	−	2.59154i	0.407265	−	0.168695i
$237$	−1.73339	+	1.73339i	−0.112596	+	0.112596i
$238$	8.94592	−	8.96756i	0.579878	−	0.581280i
$239$		−	8.52600i		−	0.551501i	−0.961229	−	0.275751i	$-0.911074\pi$
$239$		−	8.52600i		−	0.551501i	0.961229	−	0.275751i	$-0.0889264\pi$
$240$	−1.55898	+	0.403135i	−0.100632	+	0.0260223i
$241$	−2.81590	−	4.21430i	−0.181388	−	0.271467i	0.729622	−	0.683851i	$-0.239696\pi$
$241$	−2.81590	−	4.21430i	−0.181388	−	0.271467i	−0.911010	+	0.412384i	$0.864696\pi$
$242$	8.72051			0.560575
$243$	−8.42010	−	12.6016i	−0.540150	−	0.808391i
$244$	−12.1730	−	8.13373i	−0.779296	−	0.520709i
$245$	−3.63023	+	4.06711i	−0.231927	+	0.259838i
$246$	−1.52546	−	0.631865i	−0.0972596	−	0.0402862i
$247$	−9.12185	+	3.77839i	−0.580409	+	0.240413i
$248$	−2.49476	+	3.73367i	−0.158417	+	0.237088i
$249$	−5.97608	+	8.94384i	−0.378719	+	0.566793i
$250$	−6.45341	+	9.12981i	−0.408149	+	0.577420i
$251$	4.37501	+	4.37501i	0.276148	+	0.276148i	0.831569	−	0.555421i	$-0.187443\pi$
$251$	4.37501	+	4.37501i	0.276148	+	0.276148i	−0.555421	+	0.831569i	$0.687443\pi$
$252$	7.47676	+	1.48722i	0.470992	+	0.0936861i
$253$	0.605660	−	1.46219i	0.0380775	−	0.0919273i
$254$	5.96083			0.374016
$255$	5.97657	−	2.89146i	0.374267	−	0.181070i
$256$	−1.00000			−0.0625000
$257$	−3.22161	+	7.77766i	−0.200959	+	0.485157i	−0.991944	−	0.126678i	$-0.959568\pi$
$257$	−3.22161	+	7.77766i	−0.200959	+	0.485157i	0.790985	+	0.611835i	$0.209568\pi$
$258$	5.11546	+	1.01753i	0.318475	+	0.0633485i
$259$	−16.6956	−	16.6956i	−1.03741	−	1.03741i
$260$	−4.25584	+	12.1858i	−0.263936	+	0.755731i
$261$	−5.29974	+	7.93162i	−0.328046	+	0.490955i
$262$	4.22247	−	6.31937i	0.260865	−	0.390412i
$263$	27.7944	−	11.5128i	1.71387	−	0.709910i	0.713920	−	0.700227i	$-0.246918\pi$
$263$	27.7944	−	11.5128i	1.71387	−	0.709910i	0.999953	−	0.00968280i	$-0.00308218\pi$
$264$	1.00449	+	0.416073i	0.0618221	+	0.0256075i
$265$	0.332976	+	5.86665i	0.0204545	+	0.360385i
$266$	−4.36912	−	2.91935i	−0.267888	−	0.178997i
$267$	1.75691	+	2.62941i	0.107521	+	0.160917i
$268$	−15.6926			−0.958577
$269$	−2.63595	−	3.94498i	−0.160717	−	0.240530i	0.742368	−	0.669993i	$-0.233703\pi$
$269$	−2.63595	−	3.94498i	−0.160717	−	0.240530i	−0.903084	+	0.429463i	$0.858703\pi$
$270$	7.60505	+	4.47999i	0.462829	+	0.272643i
$271$			14.1749i			0.861064i	0.902575	+	0.430532i	$0.141674\pi$
$271$			14.1749i			0.861064i	−0.902575	+	0.430532i	$0.858326\pi$
$272$	4.04291	−	0.809263i	0.245137	−	0.0490688i
$273$	−9.03019	+	9.03019i	−0.546532	+	0.546532i
$274$	−5.02247	+	2.08037i	−0.303418	+	0.125680i
$275$	7.18975	−	2.30104i	0.433558	−	0.138758i
$276$	−0.533785	+	0.533785i	−0.0321301	+	0.0321301i
$277$	−11.5427	+	7.71257i	−0.693532	+	0.463403i	−0.851714	−	0.524007i	$-0.824437\pi$
$277$	−11.5427	+	7.71257i	−0.693532	+	0.463403i	0.158182	+	0.987410i	$0.449437\pi$
$278$	−1.98639	−	9.98624i	−0.119136	−	0.598935i
$279$	10.9285	−	2.17382i	0.654275	−	0.130143i
$280$	−6.65074	+	1.71981i	−0.397458	+	0.102778i
$281$	6.86883	−	16.5828i	0.409760	−	0.989249i	−0.575440	−	0.817844i	$-0.695169\pi$
$281$	6.86883	−	16.5828i	0.409760	−	0.989249i	0.985201	−	0.171405i	$-0.0548306\pi$
$282$	6.47008	+	4.32317i	0.385288	+	0.257441i
$283$	−5.90505	+	1.17459i	−0.351019	+	0.0698220i	−0.367451	−	0.930043i	$-0.619769\pi$
$283$	−5.90505	+	1.17459i	−0.351019	+	0.0698220i	0.0164318	+	0.999865i	$0.494769\pi$
$284$	2.44987	−	12.3163i	0.145373	−	0.730839i
$285$	−1.65749	−	2.19969i	−0.0981813	−	0.130298i
$286$	7.24646	−	4.84193i	0.428492	−	0.286309i
$287$	−6.50773	−	2.69559i	−0.384139	−	0.159116i
$288$	1.75462	+	1.75462i	0.103392	+	0.103392i
$289$	−15.6902	+	6.54355i	−0.922952	+	0.384914i
$290$	1.19657	−	8.51242i	0.0702652	−	0.499866i
$291$	−4.00807	−	9.67633i	−0.234957	−	0.567236i
$292$	0.457253	−	2.29877i	0.0267587	−	0.134525i
$293$			9.59430i			0.560505i	0.959926	+	0.280252i	$0.0904182\pi$
$293$			9.59430i			0.560505i	−0.959926	+	0.280252i	$0.909582\pi$
$294$	−1.72196	−	0.342520i	−0.100427	−	0.0199761i
$295$	15.1184	−	0.858078i	0.880225	−	0.0499593i
$296$	−1.49938	−	7.53788i	−0.0871495	−	0.438130i
$297$	−2.28067	−	5.50602i	−0.132338	−	0.319492i
$298$	−2.65189	−	6.40223i	−0.153620	−	0.370871i
$299$	1.18050	+	5.93478i	0.0682701	+	0.343217i
$300$	−3.58827	−	0.298355i	−0.207169	−	0.0172255i
$301$	21.8230	+	4.34086i	1.25786	+	0.250203i
$302$		−	18.5272i		−	1.06612i
$303$	−0.285938	+	1.43751i	−0.0164267	+	0.0825827i
$304$	−0.654556	−	1.58024i	−0.0375414	−	0.0906329i
$305$	−19.7008	−	26.1453i	−1.12806	−	1.49707i
$306$	−8.51373	−	5.67383i	−0.486698	−	0.324351i
$307$	18.6515	+	18.6515i	1.06450	+	1.06450i	0.997771	+	0.0667273i	$0.0212558\pi$
$307$	18.6515	+	18.6515i	1.06450	+	1.06450i	0.0667273	+	0.997771i	$0.478744\pi$
$308$	4.28524	+	1.77500i	0.244174	+	0.101140i
$309$	6.44857	−	4.30880i	0.366846	−	0.245119i
$310$	−8.01921	+	6.04257i	−0.455461	+	0.343195i
$311$	−5.39244	+	27.1096i	−0.305777	+	1.53725i	0.456339	+	0.889806i	$0.349160\pi$
$311$	−5.39244	+	27.1096i	−0.305777	+	1.53725i	−0.762116	+	0.647440i	$0.775840\pi$
$312$	−4.07704	+	0.810974i	−0.230817	+	0.0459124i
$313$	18.5366	+	12.3858i	1.04775	+	0.700085i	0.955302	−	0.295633i	$-0.0955304\pi$
$313$	18.5366	+	12.3858i	1.04775	+	0.700085i	0.0924493	+	0.995717i	$0.470530\pi$
$314$	4.42412	−	10.6808i	0.249667	−	0.602750i
$315$	14.6872	+	8.65193i	0.827528	+	0.487481i
$316$	−3.33867	+	0.664103i	−0.187815	+	0.0373587i
$317$	−2.54306	−	12.7848i	−0.142832	−	0.718066i	−0.984124	−	0.177484i	$-0.943204\pi$
$317$	−2.54306	−	12.7848i	−0.142832	−	0.718066i	0.841291	−	0.540582i	$-0.181796\pi$
$318$	−1.57348	+	1.05136i	−0.0882363	+	0.0589576i
$319$	−4.10413	+	4.10413i	−0.229787	+	0.229787i
$320$	−2.11103	−	0.737267i	−0.118010	−	0.0412145i
$321$	−1.48706	+	0.615962i	−0.0829999	+	0.0343797i
$322$	−2.27717	+	2.27717i	−0.126902	+	0.126902i
$323$	3.92514	+	5.85905i	0.218401	+	0.326006i
$324$		−	4.60165i		−	0.255647i
$325$	−17.9684	+	22.5869i	−0.996706	+	1.25289i
$326$	1.82905	+	2.73737i	0.101302	+	0.151609i
$327$	−2.95257			−0.163278
$328$	−1.27383	−	1.90643i	−0.0703357	−	0.105265i
$329$	27.6019	+	18.4430i	1.52174	+	1.01680i
$330$	1.81375	+	1.61892i	0.0998435	+	0.0891186i
$331$	16.2672	+	6.73808i	0.894124	+	0.370358i	0.781958	−	0.623331i	$-0.214221\pi$
$331$	16.2672	+	6.73808i	0.894124	+	0.370358i	0.112166	+	0.993689i	$0.464221\pi$
$332$	−13.8001	+	5.71618i	−0.757378	+	0.313716i
$333$	−10.5953	+	15.8570i	−0.580619	+	0.868957i
$334$	5.43186	−	8.12935i	0.297218	−	0.444818i
$335$	−33.1275	−	11.5696i	−1.80995	−	0.632116i
$336$	−1.56436	−	1.56436i	−0.0853428	−	0.0853428i
$337$	−9.00487	−	1.79118i	−0.490527	−	0.0975718i	−0.0563714	−	0.998410i	$-0.517953\pi$
$337$	−9.00487	−	1.79118i	−0.490527	−	0.0975718i	−0.434155	+	0.900838i	$0.642953\pi$
$338$	−7.77658	+	18.7743i	−0.422990	+	1.02119i
$339$	−0.233593			−0.0126870
$340$	9.13133	+	1.27233i	0.495216	+	0.0690015i
$341$	6.77967			0.367140
$342$	−1.62422	+	3.92122i	−0.0878280	+	0.212035i
$343$	13.7457	+	2.73419i	0.742199	+	0.147632i
$344$	5.12135	+	5.12135i	0.276125	+	0.276125i
$345$	−1.52038	+	0.733293i	−0.0818543	+	0.0394791i
$346$	−1.59644	+	2.38924i	−0.0858252	+	0.128446i
$347$	11.1237	−	16.6478i	0.597150	−	0.893699i	−0.402615	−	0.915370i	$-0.631899\pi$
$347$	11.1237	−	16.6478i	0.597150	−	0.893699i	0.999765	+	0.0216707i	$0.00689854\pi$
$348$	2.55766	−	1.05942i	0.137105	−	0.0567908i
$349$	20.2443	+	8.38544i	1.08365	+	0.448863i	0.851788	−	0.523886i	$-0.175518\pi$
$349$	20.2443	+	8.38544i	1.08365	+	0.448863i	0.231862	+	0.972749i	$0.425518\pi$
$350$	−15.3079	−	1.27281i	−0.818240	−	0.0680344i
$351$	18.9457	+	12.6591i	1.01125	+	0.675693i
$352$	0.838799	+	1.25535i	0.0447082	+	0.0669105i
$353$	−0.0226633			−0.00120625			−0.000603123	−	1.00000i	$-0.500192\pi$
$353$	−0.0226633			−0.00120625			−0.000603123		1.00000i	$0.500192\pi$
$354$	2.70937	+	4.05485i	0.144001	+	0.215513i
$355$	14.2522	−	24.1939i	0.756426	−	1.28408i
$356$			4.39137i			0.232742i
$357$	7.59054	+	5.05858i	0.401734	+	0.267729i
$358$	−14.8062	+	14.8062i	−0.782530	+	0.782530i
$359$	−29.1476	+	12.0733i	−1.53835	+	0.637205i	−0.981163	−	0.193182i	$-0.938119\pi$
$359$	−29.1476	+	12.0733i	−1.53835	+	0.637205i	−0.557186	+	0.830387i	$0.688119\pi$
$360$	2.41043	+	4.99768i	0.127041	+	0.263401i
$361$	−11.3663	+	11.3663i	−0.598227	+	0.598227i
$362$	16.3873	−	10.9496i	0.861296	−	0.575500i
$363$	1.22515	+	6.15923i	0.0643036	+	0.323276i
$364$	−17.3930	+	3.45968i	−0.911641	+	0.181337i
$365$	2.66008	−	4.51564i	0.139235	−	0.236359i
$366$	4.03461	−	9.74041i	0.210892	−	0.509139i
$367$	−12.0796	−	8.07134i	−0.630551	−	0.421320i	0.198807	−	0.980039i	$-0.436293\pi$
$367$	−12.0796	−	8.07134i	−0.630551	−	0.421320i	−0.829358	+	0.558718i	$0.811293\pi$
$368$	−1.02812	+	0.204506i	−0.0535945	+	0.0106606i
$369$	−1.10996	+	5.58016i	−0.0577823	+	0.290491i
$370$	2.39220	−	17.0181i	0.124365	−	0.884729i
$371$	−6.71260	+	4.48521i	−0.348501	+	0.232861i
$372$	−2.98755	−	1.23749i	−0.154897	−	0.0641606i
$373$	−0.434752	−	0.434752i	−0.0225106	−	0.0225106i	0.695762	−	0.718273i	$-0.255067\pi$
$373$	−0.434752	−	0.434752i	−0.0225106	−	0.0225106i	−0.718273	+	0.695762i	$0.755067\pi$
$374$	−4.40710	−	4.39646i	−0.227886	−	0.227336i
$375$	−7.35497	−	3.27535i	−0.379809	−	0.169138i
$376$	4.13515	+	9.98315i	0.213254	+	0.514841i
$377$	4.32925	−	21.7646i	0.222968	−	1.12093i
$378$			12.1267i			0.623732i
$379$	−8.54964	−	1.70063i	−0.439166	−	0.0873555i	−0.0294448	−	0.999566i	$-0.509374\pi$
$379$	−8.54964	−	1.70063i	−0.439166	−	0.0873555i	−0.409721	+	0.912211i	$0.634374\pi$
$380$	−0.216729	−	3.81851i	−0.0111179	−	0.195885i
$381$	0.837440	+	4.21009i	0.0429033	+	0.215690i
$382$	−0.651727	−	1.57341i	−0.0333453	−	0.0805026i
$383$	−6.84874	−	16.5343i	−0.349954	−	0.844865i	−0.996625	−	0.0820950i	$-0.973839\pi$
$383$	−6.84874	−	16.5343i	−0.349954	−	0.844865i	0.646670	−	0.762770i	$-0.276161\pi$
$384$	−0.140490	−	0.706293i	−0.00716937	−	0.0360429i
$385$	7.73761	+	6.90645i	0.394345	+	0.351985i
$386$	2.21636	+	0.440861i	0.112810	+	0.0224392i
$387$		−	17.9721i		−	0.913573i
$388$	2.83740	−	14.2646i	0.144047	−	0.724173i
$389$	11.6836	+	28.2067i	0.592381	+	1.43013i	0.881197	+	0.472749i	$0.156738\pi$
$389$	11.6836	+	28.2067i	0.592381	+	1.43013i	−0.288816	+	0.957385i	$0.593262\pi$
$390$	−9.20465	−	1.29388i	−0.466096	−	0.0655181i
$391$	3.99110	−	1.65882i	0.201838	−	0.0838900i
$392$	−1.72395	−	1.72395i	−0.0870724	−	0.0870724i
$393$	5.05654	+	2.09449i	0.255069	+	0.105653i
$394$	−19.8358	+	13.2538i	−0.999312	+	0.667719i
$395$	−7.53765	−	1.05955i	−0.379260	−	0.0533118i
$396$	0.730893	−	3.67445i	0.0367288	−	0.184648i
$397$	−31.7930	+	6.32403i	−1.59565	+	0.317394i	−0.911294	−	0.411757i	$-0.864915\pi$
$397$	−31.7930	+	6.32403i	−1.59565	+	0.317394i	−0.684353	+	0.729151i	$0.739915\pi$
$398$	21.3483	+	14.2645i	1.07009	+	0.715013i
$399$	1.44810	−	3.49602i	0.0724957	−	0.175020i
$400$	−3.91288	−	3.11278i	−0.195644	−	0.155639i
$401$	−33.4398	+	6.65160i	−1.66991	+	0.332165i	−0.937309	−	0.348499i	$-0.886692\pi$
$401$	−33.4398	+	6.65160i	−1.66991	+	0.332165i	−0.732596	+	0.680664i	$0.761692\pi$
$402$	−2.20466	−	11.0836i	−0.109958	−	0.552798i
$403$	−21.5524	+	14.4009i	−1.07360	+	0.717358i
$404$	−1.43916	+	1.43916i	−0.0716011	+	0.0716011i
$405$	3.39264	−	9.71420i	0.168582	−	0.482703i
$406$	10.9112	−	4.51957i	0.541514	−	0.224302i
$407$	−8.20501	+	8.20501i	−0.406707	+	0.406707i
$408$	1.13957	+	2.74178i	0.0564169	+	0.135738i
$409$		−	4.16188i		−	0.205792i	−0.994692	−	0.102896i	$-0.967189\pi$
$409$		−	4.16188i		−	0.205792i	0.994692	−	0.102896i	$-0.0328109\pi$
$410$	−1.28355	−	4.96367i	−0.0633901	−	0.245138i
$411$	−2.17496	−	3.25506i	−0.107283	−	0.160560i
$412$	10.7698			0.530588
$413$	11.5584	+	17.2984i	0.568751	+	0.851197i
$414$	2.16280	+	1.44513i	0.106296	+	0.0710245i
$415$	−33.3467	+	1.89267i	−1.63693	+	0.0929077i
$416$	−5.33305	−	2.20902i	−0.261474	−	0.108306i
$417$	6.77414	−	2.80594i	0.331731	−	0.137408i
$418$	−1.43471	+	2.14720i	−0.0701742	+	0.105023i
$419$	−21.7671	+	32.5768i	−1.06339	+	1.59148i	−0.290575	+	0.956852i	$0.593846\pi$
$419$	−21.7671	+	32.5768i	−1.06339	+	1.59148i	−0.772818	+	0.634627i	$0.781154\pi$
$420$	−2.14906	−	4.45576i	−0.104863	−	0.217419i
$421$	−0.388346	−	0.388346i	−0.0189268	−	0.0189268i	0.697580	−	0.716507i	$-0.254260\pi$
$421$	−0.388346	−	0.388346i	−0.0189268	−	0.0189268i	−0.716507	+	0.697580i	$0.754260\pi$
$422$	4.50486	+	0.896072i	0.219293	+	0.0436201i
$423$	10.2610	−	24.7723i	0.498908	−	1.20447i
$424$	−2.62787			−0.127621
$425$	18.3384	+	9.41814i	0.889545	+	0.456847i
$426$	9.04311			0.438140
$427$	17.2120	−	41.5534i	0.832947	−	2.01091i
$428$	−2.19219	−	0.436053i	−0.105963	−	0.0210774i
$429$	4.43788	+	4.43788i	0.214263	+	0.214263i
$430$	7.03551	+	14.5871i	0.339283	+	0.703454i
$431$	−5.44549	+	8.14975i	−0.262300	+	0.392560i	−0.939120	−	0.343589i	$-0.888357\pi$
$431$	−5.44549	+	8.14975i	−0.262300	+	0.392560i	0.676820	+	0.736148i	$0.263357\pi$
$432$	−2.19302	+	3.28209i	−0.105512	+	0.157909i
$433$	−20.8231	+	8.62522i	−1.00070	+	0.414502i	−0.822052	−	0.569412i	$-0.807171\pi$
$433$	−20.8231	+	8.62522i	−1.00070	+	0.414502i	−0.178643	+	0.983914i	$0.557171\pi$
$434$	−12.7452	−	5.27922i	−0.611787	−	0.253411i
$435$	6.18037	−	0.350782i	0.296326	−	0.0168187i
$436$	−3.40907	−	2.27787i	−0.163265	−	0.109090i
$437$	−0.996131	−	1.49082i	−0.0476514	−	0.0713154i
$438$	1.68784			0.0806482
$439$	7.46585	+	11.1734i	0.356326	+	0.533279i	0.965719	−	0.259589i	$-0.0835870\pi$
$439$	7.46585	+	11.1734i	0.356326	+	0.533279i	−0.609394	+	0.792868i	$0.708587\pi$
$440$	0.845199	+	3.26850i	0.0402933	+	0.155820i
$441$			6.04975i			0.288083i
$442$	23.3487	+	4.61503i	1.11058	+	0.219515i
$443$	24.4358	−	24.4358i	1.16098	−	1.16098i	0.176720	−	0.984261i	$-0.443451\pi$
$443$	24.4358	−	24.4358i	1.16098	−	1.16098i	0.984261	−	0.176720i	$-0.0565488\pi$
$444$	5.11330	−	2.11800i	0.242667	−	0.100516i
$445$	−3.23761	+	9.27031i	−0.153478	+	0.439455i
$446$	7.39042	−	7.39042i	0.349947	−	0.349947i
$447$	4.14928	−	2.77246i	0.196254	−	0.131133i
$448$	−0.599344	−	3.01311i	−0.0283164	−	0.142356i
$449$	−7.58157	+	1.50807i	−0.357796	+	0.0711701i	−0.370716	−	0.928746i	$-0.620888\pi$
$449$	−7.58157	+	1.50807i	−0.357796	+	0.0711701i	0.0129193	+	0.999917i	$0.495888\pi$
$450$	1.40386	+	12.3274i	0.0661787	+	0.581118i
$451$	−1.32475	+	3.19822i	−0.0623798	+	0.150598i
$452$	−0.269709	−	0.180214i	−0.0126860	−	0.00847653i
$453$	13.0856	−	2.60289i	0.614816	−	0.122295i
$454$	0.480009	−	2.41317i	0.0225279	−	0.113256i
$455$	−39.2678	−	5.51980i	−1.84090	−	0.258772i
$456$	1.02415	−	0.684317i	0.0479603	−	0.0320461i
$457$	−6.59984	−	2.73375i	−0.308728	−	0.127879i	0.222940	−	0.974832i	$-0.428435\pi$
$457$	−6.59984	−	2.73375i	−0.308728	−	0.127879i	−0.531668	+	0.846953i	$0.678435\pi$
$458$	−13.1936	−	13.1936i	−0.616494	−	0.616494i
$459$	6.21010	−	15.0439i	0.289863	−	0.702189i
$460$	−2.32117	−	0.326282i	−0.108225	−	0.0152130i
$461$	12.2658	+	29.6124i	0.571277	+	1.37919i	0.900468	+	0.434922i	$0.143224\pi$
$461$	12.2658	+	29.6124i	0.571277	+	1.37919i	−0.329190	+	0.944264i	$0.606776\pi$
$462$	−0.651638	+	3.27601i	−0.0303169	+	0.152414i
$463$		−	8.00024i		−	0.371803i	−0.982568	−	0.185901i	$-0.940480\pi$
$463$		−	8.00024i		−	0.371803i	0.982568	−	0.185901i	$-0.0595205\pi$
$464$	3.77043	+	0.749985i	0.175038	+	0.0348172i
$465$	−5.39445	−	4.81499i	−0.250162	−	0.223290i
$466$	4.11970	+	20.7111i	0.190841	+	0.959424i
$467$	−3.60588	−	8.70537i	−0.166860	−	0.402836i	0.818226	−	0.574897i	$-0.194958\pi$
$467$	−3.60588	−	8.70537i	−0.166860	−	0.402836i	−0.985086	+	0.172060i	$0.944958\pi$
$468$	5.48149	+	13.2335i	0.253382	+	0.611718i
$469$	−9.40526	−	47.2834i	−0.434295	−	2.18335i
$470$	1.36918	+	24.1234i	0.0631557	+	1.11273i
$471$	8.16529	+	1.62418i	0.376237	+	0.0748382i
$472$			6.77202i			0.311707i
$473$	2.13331	−	10.7249i	0.0980898	−	0.493131i
$474$	−0.938103	−	2.26478i	−0.0430885	−	0.104025i
$475$	2.35774	−	8.22077i	0.108181	−	0.377195i
$476$	4.86149	+	11.6967i	0.222826	+	0.536117i
$477$	4.61092	+	4.61092i	0.211119	+	0.211119i
$478$	7.87700	+	3.26276i	0.360285	+	0.149235i
$479$	12.6470	−	8.45048i	0.577858	−	0.386113i	−0.232020	−	0.972711i	$-0.574533\pi$
$479$	12.6470	−	8.45048i	0.577858	−	0.386113i	0.809878	+	0.586599i	$0.199533\pi$
$480$	0.224147	−	1.59458i	0.0102309	−	0.0727824i
$481$	8.65508	−	43.5120i	0.394638	−	1.98398i
$482$	4.97111	−	0.988814i	0.226428	−	0.0450393i
$483$	−1.92827	−	1.28843i	−0.0877394	−	0.0586256i
$484$	−3.33719	+	8.05670i	−0.151691	+	0.366214i
$485$	16.5066	−	28.0210i	0.749526	−	1.27237i
$486$	14.8646	−	2.95675i	0.674270	−	0.134121i
$487$	2.45067	+	12.3204i	0.111051	+	0.558289i	0.995748	+	0.0921228i	$0.0293652\pi$
$487$	2.45067	+	12.3204i	0.111051	+	0.558289i	−0.884697	+	0.466167i	$0.845635\pi$
$488$	12.1730	−	8.13373i	0.551045	−	0.368197i
$489$	−1.67642	+	1.67642i	−0.0758104	+	0.0758104i
$490$	−2.36829	−	4.91031i	−0.106988	−	0.221825i
$491$	−12.2532	+	5.07546i	−0.552981	+	0.229052i	−0.641635	−	0.767010i	$-0.721744\pi$
$491$	−12.2532	+	5.07546i	−0.552981	+	0.229052i	0.0886538	+	0.996063i	$0.471744\pi$
$492$	1.16753	−	1.16753i	0.0526365	−	0.0526365i
$493$	−15.8504	+	0.0191480i	−0.713867	+	0.000862382i
$494$		−	9.87342i		−	0.444226i
$495$	4.25198	−	7.21800i	0.191112	−	0.324425i
$496$	−2.49476	−	3.73367i	−0.112018	−	0.167647i
$497$	38.5787			1.73049
$498$	−5.97608	−	8.94384i	−0.267795	−	0.400783i
$499$	−4.20048	−	2.80667i	−0.188039	−	0.125644i	0.457987	−	0.888959i	$-0.348571\pi$
$499$	−4.20048	−	2.80667i	−0.188039	−	0.125644i	−0.646027	+	0.763315i	$0.723571\pi$
$500$	−5.96524	−	9.45600i	−0.266773	−	0.422885i
$501$	6.50483	+	2.69439i	0.290614	+	0.120376i
$502$	−5.71623	+	2.36774i	−0.255128	+	0.105677i
$503$	−12.4712	+	18.6645i	−0.556065	+	0.832211i	−0.997892	−	0.0648897i	$-0.979330\pi$
$503$	−12.4712	+	18.6645i	−0.556065	+	0.832211i	0.441827	+	0.897100i	$0.354330\pi$
$504$	−4.23525	+	6.33849i	−0.188653	+	0.282339i
$505$	−4.09917	+	1.97707i	−0.182410	+	0.0879784i
$506$	1.11911	+	1.11911i	0.0497507	+	0.0497507i
$507$	−14.3527	−	2.85493i	−0.637426	−	0.126792i
$508$	−2.28111	+	5.50709i	−0.101208	+	0.244338i
$509$	18.1648			0.805140			0.402570	−	0.915389i	$-0.368117\pi$
$509$	18.1648			0.805140			0.402570	+	0.915389i	$0.368117\pi$
$510$	0.384230	+	6.62814i	0.0170140	+	0.293499i
$511$	7.20048			0.318530
$512$	0.382683	−	0.923880i	0.0169124	−	0.0408301i
$513$	−6.62193	−	1.31718i	−0.292365	−	0.0581551i
$514$	−5.95276	−	5.95276i	−0.262565	−	0.262565i
$515$	22.7353	+	7.94019i	1.00184	+	0.349886i
$516$	−2.89768	+	4.33668i	−0.127563	+	0.190912i
$517$	9.06380	−	13.5649i	0.398625	−	0.596585i
$518$	21.8138	−	9.03557i	0.958443	−	0.397000i
$519$	−1.91179	−	0.791889i	−0.0839183	−	0.0347601i
$520$	−9.62957	−	8.59518i	−0.422285	−	0.376924i
$521$	−2.27791	−	1.52205i	−0.0997972	−	0.0666823i	0.504670	−	0.863312i	$-0.331614\pi$
$521$	−2.27791	−	1.52205i	−0.0997972	−	0.0666823i	−0.604467	+	0.796630i	$0.706614\pi$
$522$	−5.29974	−	7.93162i	−0.231963	−	0.347158i
$523$	37.4096			1.63581			0.817903	−	0.575356i	$-0.195137\pi$
$523$	37.4096			1.63581			0.817903	+	0.575356i	$0.195137\pi$
$524$	4.22247	+	6.31937i	0.184459	+	0.276063i
$525$	−1.25163	−	10.9907i	−0.0546258	−	0.479671i
$526$			30.0844i			1.31174i
$527$	13.1076	+	13.0760i	0.570976	+	0.569598i
$528$	−0.768803	+	0.768803i	−0.0334579	+	0.0334579i
$529$	20.2340	−	8.38121i	0.879740	−	0.364400i
$530$	−5.54750	−	1.93744i	−0.240968	−	0.0841570i
$531$	11.8823	−	11.8823i	0.515650	−	0.515650i
$532$	4.36912	−	2.91935i	0.189426	−	0.126570i
$533$	−2.58208	−	12.9810i	−0.111842	−	0.562269i
$534$	−3.10160	+	0.616946i	−0.134219	+	0.0266979i
$535$	−4.30628	−	2.53675i	−0.186177	−	0.109673i
$536$	6.00529	−	14.4981i	0.259389	−	0.626221i
$537$	−12.5376	−	8.37736i	−0.541038	−	0.361510i
$538$	4.65342	−	0.925623i	0.200623	−	0.0399064i
$539$	−0.718114	+	3.61020i	−0.0309314	+	0.155502i
$540$	−7.04930	+	5.31173i	−0.303353	+	0.228581i
$541$	−5.19459	+	3.47091i	−0.223333	+	0.149226i	−0.662204	−	0.749324i	$-0.730379\pi$
$541$	−5.19459	+	3.47091i	−0.223333	+	0.149226i	0.438871	+	0.898550i	$0.355379\pi$
$542$	−13.0959	−	5.42450i	−0.562517	−	0.233002i
$543$	10.0359	+	10.0359i	0.430682	+	0.430682i
$544$	−0.799492	+	4.04485i	−0.0342779	+	0.173422i
$545$	−5.51725	−	7.32204i	−0.236333	−	0.313642i
$546$	−4.88710	−	11.7985i	−0.209149	−	0.504930i
$547$	6.41837	−	32.2673i	0.274430	−	1.37965i	−0.559980	−	0.828506i	$-0.689191\pi$
$547$	6.41837	−	32.2673i	0.274430	−	1.37965i	0.834410	−	0.551145i	$-0.185809\pi$
$548$		−	5.43628i		−	0.232226i
$549$	−35.6307	−	7.08738i	−1.52068	−	0.302482i
$550$	−0.625519	+	7.52303i	−0.0266722	+	0.320783i
$551$	1.28280	+	6.44908i	0.0546492	+	0.274740i
$552$	−0.288882	−	0.697423i	−0.0122956	−	0.0296843i
$553$	−4.00203	−	9.66175i	−0.170183	−	0.410859i
$554$	−2.70829	−	13.6155i	−0.115064	−	0.578468i
$555$	12.3559	−	0.701286i	0.524477	−	0.0297679i
$556$	9.98624	+	1.98639i	0.423511	+	0.0842415i
$557$		−	3.54041i		−	0.150012i	−0.997183	−	0.0750060i	$-0.976102\pi$
$557$		−	3.54041i		−	0.150012i	0.997183	−	0.0750060i	$-0.0238976\pi$
$558$	−2.17382	+	10.9285i	−0.0920252	+	0.462642i
$559$	15.9993	+	38.6256i	0.676696	+	1.63369i
$560$	0.956232	−	6.80263i	0.0404082	−	0.287464i
$561$	2.48604	−	3.73036i	0.104960	−	0.157496i
$562$	12.6919	+	12.6919i	0.535377	+	0.535377i
$563$	−4.50287	−	1.86515i	−0.189773	−	0.0786067i	0.285773	−	0.958297i	$-0.407750\pi$
$563$	−4.50287	−	1.86515i	−0.189773	−	0.0786067i	−0.475546	+	0.879691i	$0.657750\pi$
$564$	−6.47008	+	4.32317i	−0.272439	+	0.182038i
$565$	−0.436497	−	0.579283i	−0.0183636	−	0.0243706i
$566$	1.17459	−	5.90505i	0.0493716	−	0.248208i
$567$	13.8653	−	2.75797i	0.582286	−	0.115824i
$568$	10.4413	+	6.97663i	0.438106	+	0.292733i
$569$	6.12255	−	14.7812i	0.256671	−	0.619658i	−0.742043	−	0.670352i	$-0.766143\pi$
$569$	6.12255	−	14.7812i	0.256671	−	0.619658i	0.998714	+	0.0506937i	$0.0161432\pi$
$570$	2.66654	−	0.689538i	0.111689	−	0.0288816i
$571$	−11.4026	+	2.26812i	−0.477183	+	0.0949177i	−0.427821	−	0.903863i	$-0.640719\pi$
$571$	−11.4026	+	2.26812i	−0.477183	+	0.0949177i	−0.0493620	+	0.998781i	$0.515719\pi$
$572$	1.70026	+	8.54778i	0.0710914	+	0.357401i
$573$	1.01973	−	0.681359i	0.0425997	−	0.0284642i
$574$	4.98080	−	4.98080i	0.207895	−	0.207895i
$575$	−4.65949	−	2.40011i	−0.194314	−	0.100091i
$576$	−2.29253	+	0.949595i	−0.0955219	+	0.0395665i
$577$	−33.3777	+	33.3777i	−1.38953	+	1.38953i	−0.563231	+	0.826300i	$0.690442\pi$
$577$	−33.3777	+	33.3777i	−1.38953	+	1.38953i	−0.826300	+	0.563231i	$0.809558\pi$
$578$	−0.0410734	−	17.0000i	−0.00170843	−	0.707105i
$579$			1.62734i			0.0676298i
$580$	7.40654	+	4.36305i	0.307540	+	0.181166i
$581$	−25.4945	−	38.1552i	−1.05769	−	1.58294i
$582$	10.4736			0.434144
$583$	2.20425	+	3.29890i	0.0912908	+	0.136626i
$584$	1.94880	+	1.30215i	0.0806419	+	0.0538832i
$585$	1.81497	+	31.9776i	0.0750396	+	1.32211i
$586$	−8.86398	−	3.67158i	−0.366168	−	0.151672i
$587$	−21.7397	+	9.00488i	−0.897294	+	0.371671i	−0.783179	−	0.621796i	$-0.786403\pi$
$587$	−21.7397	+	9.00488i	−0.897294	+	0.371671i	−0.114115	+	0.993468i	$0.536403\pi$
$588$	0.975413	−	1.45981i	0.0402254	−	0.0602015i
$589$	4.26713	−	6.38621i	0.175824	−	0.263139i
$590$	−4.99278	+	14.2959i	−0.205550	+	0.588553i
$591$	−12.1478	−	12.1478i	−0.499695	−	0.499695i
$592$	7.53788	+	1.49938i	0.309805	+	0.0616240i
$593$	6.84740	−	16.5311i	0.281189	−	0.678850i	−0.718675	−	0.695346i	$-0.755251\pi$
$593$	6.84740	−	16.5311i	0.281189	−	0.678850i	0.999864	+	0.0164960i	$0.00525109\pi$
$594$	5.95967			0.244528
$595$	1.63916	+	28.2762i	0.0671989	+	1.15921i
$596$	6.92972			0.283852
$597$	−7.07567	+	17.0822i	−0.289588	+	0.699127i
$598$	−5.93478	−	1.18050i	−0.242691	−	0.0482743i
$599$	12.0126	+	12.0126i	0.490823	+	0.490823i	0.908565	−	0.417743i	$-0.137179\pi$
$599$	12.0126	+	12.0126i	0.490823	+	0.490823i	−0.417743	+	0.908565i	$0.637179\pi$
$600$	1.64881	−	3.20095i	0.0673126	−	0.130678i
$601$	8.29559	−	12.4152i	0.338384	−	0.506428i	−0.622783	−	0.782395i	$-0.713998\pi$
$601$	8.29559	−	12.4152i	0.338384	−	0.506428i	0.961167	+	0.275967i	$0.0889980\pi$
$602$	−12.3617	+	18.5006i	−0.503827	+	0.754030i
$603$	−35.9757	+	14.9016i	−1.46504	+	0.606840i
$604$	17.1169	+	7.09004i	0.696476	+	0.288490i
$605$	−12.9848	+	14.5475i	−0.527909	+	0.591440i
$606$	−1.21866	−	0.814283i	−0.0495047	−	0.0330780i
$607$	5.13437	+	7.68413i	0.208398	+	0.311889i	0.920914	−	0.389767i	$-0.127444\pi$
$607$	5.13437	+	7.68413i	0.208398	+	0.311889i	−0.712516	+	0.701656i	$0.752444\pi$
$608$	1.71044			0.0693674
$609$	4.72506	+	7.07155i	0.191469	+	0.286554i
$610$	31.6943	−	8.19579i	1.28326	−	0.331838i
$611$			62.3752i			2.52343i
$612$	8.50000	−	5.69438i	0.343592	−	0.230182i
$613$	−13.8598	+	13.8598i	−0.559793	+	0.559793i	−0.929249	−	0.369455i	$-0.879544\pi$
$613$	−13.8598	+	13.8598i	−0.559793	+	0.559793i	0.369455	+	0.929249i	$0.379544\pi$
$614$	−24.3694	+	10.0941i	−0.983468	+	0.407366i
$615$	3.32548	−	1.60391i	0.134096	−	0.0646760i
$616$	−3.27978	+	3.27978i	−0.132146	+	0.132146i
$617$	1.51313	−	1.01104i	0.0609163	−	0.0407030i	−0.524739	−	0.851263i	$-0.675837\pi$
$617$	1.51313	−	1.01104i	0.0609163	−	0.0407030i	0.585655	+	0.810560i	$0.300837\pi$
$618$	1.51305	+	7.60661i	0.0608637	+	0.305983i
$619$	−36.8091	+	7.32178i	−1.47948	+	0.294287i	−0.867838	−	0.496847i	$-0.834491\pi$
$619$	−36.8091	+	7.32178i	−1.47948	+	0.294287i	−0.611643	+	0.791134i	$0.709491\pi$
$620$	−2.51379	−	9.72118i	−0.100956	−	0.390412i
$621$	−1.58348	+	3.82287i	−0.0635430	+	0.153406i
$622$	−22.9824	−	15.3564i	−0.921512	−	0.615734i
$623$	−13.2317	+	2.63194i	−0.530116	+	0.105447i
$624$	0.810974	−	4.07704i	0.0324649	−	0.163212i
$625$	−5.62118	−	24.3599i	−0.224847	−	0.974394i
$626$	−18.5366	+	12.3858i	−0.740872	+	0.495035i
$627$	−1.71812	−	0.711667i	−0.0686150	−	0.0284213i
$628$	8.17470	+	8.17470i	0.326206	+	0.326206i
$629$	−31.6883	+	0.0382808i	−1.26350	+	0.00152636i
$630$	−13.6139	+	10.2582i	−0.542390	+	0.408698i
$631$	1.02666	+	2.47858i	0.0408708	+	0.0986709i	0.942997	−	0.332802i	$-0.107994\pi$
$631$	1.02666	+	2.47858i	0.0408708	+	0.0986709i	−0.902126	+	0.431473i	$0.857994\pi$
$632$	0.664103	−	3.33867i	0.0264166	−	0.132805i
$633$			3.30764i			0.131467i
$634$	12.7848	+	2.54306i	0.507749	+	0.100998i
$635$	−8.87569	+	9.94383i	−0.352221	+	0.394609i
$636$	−0.369190	−	1.85604i	−0.0146393	−	0.0735970i
$637$	−5.38566	−	13.0021i	−0.213387	−	0.515163i
$638$	−2.22114	−	5.36230i	−0.0879357	−	0.212295i
$639$	−6.07913	−	30.5619i	−0.240487	−	1.20901i
$640$	1.48900	−	1.66820i	0.0588579	−	0.0659412i
$641$	32.5729	+	6.47916i	1.28655	+	0.255912i	0.790544	−	0.612405i	$-0.209798\pi$
$641$	32.5729	+	6.47916i	1.28655	+	0.255912i	0.496010	+	0.868317i	$0.334798\pi$
$642$		−	1.60959i		−	0.0635253i
$643$	2.59037	−	13.0227i	0.102154	−	0.513563i	−0.895497	−	0.445067i	$-0.853180\pi$
$643$	2.59037	−	13.0227i	0.102154	−	0.513563i	0.997651	−	0.0684963i	$-0.0218201\pi$
$644$	−1.23240	−	2.97527i	−0.0485632	−	0.117242i
$645$	−9.31436	+	7.01849i	−0.366753	+	0.276353i
$646$	−6.91514	+	1.38419i	−0.272073	+	0.0544604i
$647$	23.0564	+	23.0564i	0.906440	+	0.906440i	0.995983	−	0.0895428i	$-0.0285406\pi$
$647$	23.0564	+	23.0564i	0.906440	+	0.906440i	−0.0895428	+	0.995983i	$0.528541\pi$
$648$	4.25137	+	1.76097i	0.167009	+	0.0691776i
$649$	8.50126	−	5.68036i	0.333704	−	0.222974i
$650$	−13.9914	−	25.2442i	−0.548786	−	0.990161i
$651$	1.93810	−	9.74350i	0.0759602	−	0.381878i
$652$	−3.22895	+	0.642278i	−0.126455	+	0.0251535i
$653$	3.31059	+	2.21206i	0.129553	+	0.0865648i	0.618658	−	0.785660i	$-0.287677\pi$
$653$	3.31059	+	2.21206i	0.129553	+	0.0865648i	−0.489105	+	0.872225i	$0.662677\pi$
$654$	1.12990	−	2.72782i	0.0441826	−	0.106666i
$655$	4.25468	+	16.4534i	0.166244	+	0.642889i
$656$	2.24878	−	0.447311i	0.0878002	−	0.0174646i
$657$	−1.13463	−	5.70419i	−0.0442663	−	0.222541i
$658$	−27.6019	+	18.4430i	−1.07603	+	0.718983i
$659$	20.5797	−	20.5797i	0.801671	−	0.801671i	−0.181685	−	0.983357i	$-0.558155\pi$
$659$	20.5797	−	20.5797i	0.801671	−	0.801671i	0.983357	+	0.181685i	$0.0581553\pi$
$660$	−2.18978	+	1.05615i	−0.0852370	+	0.0411106i
$661$	−3.36664	+	1.39451i	−0.130947	+	0.0542401i	−0.447195	−	0.894437i	$-0.647577\pi$
$661$	−3.36664	+	1.39451i	−0.130947	+	0.0542401i	0.316248	+	0.948677i	$0.397577\pi$
$662$	−12.4503	+	12.4503i	−0.483896	+	0.483896i
$663$	0.0207051	+	17.1394i	0.000804120	+	0.665639i
$664$		−	14.9371i		−	0.579672i
$665$	11.3757	−	2.94163i	0.441130	−	0.114071i
$666$	−10.5953	−	15.8570i	−0.410559	−	0.614445i
$667$	4.02983			0.156036
$668$	5.43186	+	8.12935i	0.210165	+	0.314534i
$669$	6.25809	+	4.18152i	0.241952	+	0.161667i
$670$	23.3663	−	26.1783i	0.902718	−	1.01136i
$671$	−20.4214	−	8.45882i	−0.788359	−	0.326549i
$672$	2.04393	−	0.846625i	0.0788465	−	0.0326593i
$673$	3.58651	−	5.36759i	0.138250	−	0.206905i	−0.755884	−	0.654706i	$-0.772793\pi$
$673$	3.58651	−	5.36759i	0.138250	−	0.206905i	0.894133	+	0.447801i	$0.147793\pi$
$674$	5.10085	−	7.63396i	0.196477	−	0.294049i
$675$	−18.7974	+	6.01600i	−0.723513	+	0.231556i
$676$	−14.3692	−	14.3692i	−0.552663	−	0.552663i
$677$	24.2918	+	4.83193i	0.933608	+	0.185706i	0.638381	−	0.769721i	$-0.279605\pi$
$677$	24.2918	+	4.83193i	0.933608	+	0.185706i	0.295228	+	0.955427i	$0.404605\pi$
$678$	0.0893921	−	0.215812i	0.00343308	−	0.00828820i
$679$	44.6812			1.71471
$680$	−4.66988	+	7.94935i	−0.179082	+	0.304844i
$681$	1.77184			0.0678971
$682$	−2.59447	+	6.26360i	−0.0993473	+	0.239846i
$683$	8.72860	+	1.73623i	0.333991	+	0.0664349i	0.359237	−	0.933246i	$-0.383037\pi$
$683$	8.72860	+	1.73623i	0.333991	+	0.0664349i	−0.0252462	+	0.999681i	$0.508037\pi$
$684$	−3.00117	−	3.00117i	−0.114753	−	0.114753i
$685$	4.00799	−	11.4761i	0.153137	−	0.438481i
$686$	−7.78632	+	11.6531i	−0.297283	+	0.444916i
$687$	7.46495	−	11.1721i	0.284806	−	0.426242i
$688$	−6.69137	+	2.77166i	−0.255106	+	0.105668i
$689$	−14.0145	−	5.80501i	−0.533912	−	0.221153i
$690$	−0.0956512	−	1.68526i	−0.00364138	−	0.0641569i
$691$	−40.5190	−	27.0739i	−1.54142	−	1.02994i	−0.979187	−	0.202958i	$-0.934944\pi$
$691$	−40.5190	−	27.0739i	−1.54142	−	1.02994i	−0.562228	−	0.826982i	$-0.690056\pi$
$692$	−1.59644	−	2.38924i	−0.0606876	−	0.0908254i
$693$	11.5096			0.437212
$694$	11.1237	+	16.6478i	0.422249	+	0.631941i
$695$	19.6167	+	11.5558i	0.744105	+	0.438338i
$696$			2.76839i			0.104936i
$697$	−8.72963	+	3.62829i	−0.330658	+	0.137431i
$698$	−15.4943	+	15.4943i	−0.586467	+	0.586467i
$699$	−14.0493	+	5.81943i	−0.531395	+	0.220111i
$700$	7.03399	−	13.6555i	0.265860	−	0.516131i
$701$	−1.32635	+	1.32635i	−0.0500955	+	0.0500955i	−0.731711	−	0.681615i	$-0.761278\pi$
$701$	−1.32635	+	1.32635i	−0.0500955	+	0.0500955i	0.681615	+	0.731711i	$0.261278\pi$
$702$	−18.9457	+	12.6591i	−0.715058	+	0.477787i
$703$	2.56459	+	12.8931i	0.0967254	+	0.486271i
$704$	−1.48079	+	0.294547i	−0.0558093	+	0.0111012i
$705$	−16.8458	+	4.35615i	−0.634451	+	0.164062i
$706$	0.00867287	−	0.0209382i	0.000326408	−	0.000788018i
$707$	−5.19891	−	3.47380i	−0.195525	−	0.130646i
$708$	−4.78303	+	0.951403i	−0.179757	+	0.0357559i
$709$	8.32376	−	41.8464i	0.312605	−	1.57157i	−0.430621	−	0.902533i	$-0.641705\pi$
$709$	8.32376	−	41.8464i	0.312605	−	1.57157i	0.743226	−	0.669040i	$-0.233295\pi$
$710$	16.8982	+	22.4259i	0.634177	+	0.841628i
$711$	−7.02336	+	4.69286i	−0.263397	+	0.175996i
$712$	−4.05710	−	1.68051i	−0.152046	−	0.0629796i
$713$	−3.32847	−	3.32847i	−0.124652	−	0.124652i
$714$	−7.57829	+	5.07691i	−0.283611	+	0.189998i
$715$	−2.71270	+	19.2981i	−0.101449	+	0.721709i
$716$	−8.01304	−	19.3452i	−0.299461	−	0.722963i
$717$	−1.19782	+	6.02185i	−0.0447335	+	0.224890i
$718$		−	31.5491i		−	1.17740i
$719$	−18.9019	−	3.75981i	−0.704921	−	0.140217i	−0.170403	−	0.985375i	$-0.554507\pi$
$719$	−18.9019	−	3.75981i	−0.704921	−	0.140217i	−0.534518	+	0.845157i	$0.679507\pi$
$720$	−5.53969	+	0.314418i	−0.206452	+	0.0117177i
$721$	6.45479	+	32.4504i	0.240389	+	1.20852i
$722$	−6.15141	−	14.8508i	−0.228932	−	0.552690i
$723$	1.39679	+	3.37214i	0.0519470	+	0.125411i
$724$	3.84500	+	19.3301i	0.142898	+	0.718398i
$725$	12.4187	+	14.6711i	0.461218	+	0.544871i
$726$	−6.15923	−	1.22515i	−0.228591	−	0.0454695i
$727$			38.0919i			1.41275i	0.707838	+	0.706374i	$0.249670\pi$
$727$			38.0919i			1.41275i	−0.707838	+	0.706374i	$0.750330\pi$
$728$	3.45968	−	17.3930i	0.128224	−	0.644628i
$729$	−1.10626	−	2.67076i	−0.0409727	−	0.0989169i
$730$	3.15394	+	4.18565i	0.116733	+	0.154918i
$731$	24.8096	−	16.6206i	0.917616	−	0.614736i
$732$	7.45499	+	7.45499i	0.275544	+	0.275544i
$733$	18.5055	+	7.66521i	0.683514	+	0.283121i	0.697295	−	0.716784i	$-0.254387\pi$
$733$	18.5055	+	7.66521i	0.683514	+	0.283121i	−0.0137807	+	0.999905i	$0.504387\pi$
$734$	12.0796	−	8.07134i	0.445867	−	0.297919i
$735$	3.13539	−	2.36256i	0.115651	−	0.0871442i
$736$	0.204506	−	1.02812i	0.00753819	−	0.0378970i
$737$	−23.2374	+	4.62221i	−0.855960	+	0.170261i
$738$	−4.73063	−	3.16091i	−0.174137	−	0.116355i
$739$	−9.83408	+	23.7416i	−0.361753	+	0.873348i	0.633292	+	0.773913i	$0.281703\pi$
$739$	−9.83408	+	23.7416i	−0.361753	+	0.873348i	−0.995044	+	0.0994346i	$0.968297\pi$
$740$	14.8072	+	8.72265i	0.544324	+	0.320651i
$741$	6.97353	−	1.38712i	0.256179	−	0.0509572i
$742$	−1.57500	−	7.91805i	−0.0578200	−	0.290681i
$743$	−24.5225	+	16.3854i	−0.899644	+	0.601123i	−0.917070	−	0.398726i	$-0.869453\pi$
$743$	−24.5225	+	16.3854i	−0.899644	+	0.601123i	0.0174267	+	0.999848i	$0.494453\pi$
$744$	2.28657	−	2.28657i	0.0838299	−	0.0838299i
$745$	14.6288	+	5.10905i	0.535959	+	0.187181i
$746$	0.568031	−	0.235286i	0.0207971	−	0.00861444i
$747$	−26.2090	+	26.2090i	−0.958937	+	0.958937i
$748$	5.74832	−	2.38917i	0.210180	−	0.0873568i
$749$		−	6.86664i		−	0.250902i
$750$	5.84065	−	5.54168i	0.213270	−	0.202354i
$751$	2.76221	+	4.13395i	0.100795	+	0.150850i	0.878439	−	0.477855i	$-0.158585\pi$
$751$	2.76221	+	4.13395i	0.100795	+	0.150850i	−0.777644	+	0.628705i	$0.783585\pi$
$752$	−10.8057			−0.394043
$753$	−2.47539	−	3.70469i	−0.0902084	−	0.135006i
$754$	18.4511	+	12.3287i	0.671951	+	0.448983i
$755$	30.9070	+	27.5870i	1.12482	+	1.00399i
$756$	−11.2036	−	4.64070i	−0.407473	−	0.168781i
$757$	35.3227	−	14.6311i	1.28382	−	0.531778i	0.366686	−	0.930345i	$-0.380492\pi$
$757$	35.3227	−	14.6311i	1.28382	−	0.531778i	0.917139	+	0.398567i	$0.130492\pi$
$758$	4.84298	−	7.24804i	0.175905	−	0.263261i
$759$	−0.633198	+	0.947647i	−0.0229836	+	0.0343974i
$760$	3.61078	+	1.26105i	0.130977	+	0.0457431i
$761$	−5.87675	−	5.87675i	−0.213032	−	0.213032i	0.592522	−	0.805554i	$-0.298132\pi$
$761$	−5.87675	−	5.87675i	−0.213032	−	0.213032i	−0.805554	+	0.592522i	$0.798132\pi$
$762$	−4.21009	−	0.837440i	−0.152516	−	0.0303372i
$763$	4.82026	−	11.6371i	0.174505	−	0.421292i
$764$	1.70304			0.0616140
$765$	22.1420	−	5.75423i	0.800546	−	0.208045i
$766$	17.8966			0.646632
$767$	−14.9595	+	36.1155i	−0.540157	+	1.30405i
$768$	0.706293	+	0.140490i	0.0254862	+	0.00506951i
$769$	−9.93490	−	9.93490i	−0.358262	−	0.358262i	0.504910	−	0.863172i	$-0.331526\pi$
$769$	−9.93490	−	9.93490i	−0.358262	−	0.358262i	−0.863172	+	0.504910i	$0.831526\pi$
$770$	−9.34178	+	4.50563i	−0.336654	+	0.162372i
$771$	3.36809	−	5.04070i	0.121299	−	0.181536i
$772$	−1.25547	+	1.87894i	−0.0451852	+	0.0676245i
$773$	−9.65194	+	3.99796i	−0.347156	+	0.143797i	−0.549447	−	0.835529i	$-0.685161\pi$
$773$	−9.65194	+	3.99796i	−0.347156	+	0.143797i	0.202291	+	0.979326i	$0.435161\pi$
$774$	16.6041	+	6.87762i	0.596820	+	0.247211i
$775$	1.86042	−	22.3750i	0.0668283	−	0.803734i
$776$	12.0929	+	8.08022i	0.434110	+	0.290063i
$777$	9.44639	+	14.1375i	0.338887	+	0.507181i
$778$	−30.5307			−1.09458
$779$	2.17881	+	3.26082i	0.0780641	+	0.116831i
$780$	4.71786	−	8.00884i	0.168926	−	0.286763i
$781$		−	18.9595i		−	0.678423i
$782$	0.00522128	+	4.32210i	0.000186712	+	0.154558i
$783$	10.7301	−	10.7301i	0.383464	−	0.383464i
$784$	2.25244	−	0.932993i	0.0804444	−	0.0333212i
$785$	11.2301	+	23.2840i	0.400819	+	0.831040i
$786$	−3.87011	+	3.87011i	−0.138042	+	0.138042i
$787$	22.0489	−	14.7326i	0.785960	−	0.525161i	−0.0966218	−	0.995321i	$-0.530804\pi$
$787$	22.0489	−	14.7326i	0.785960	−	0.525161i	0.882581	+	0.470160i	$0.155804\pi$
$788$	−4.65413	−	23.3979i	−0.165797	−	0.833516i
$789$	−21.2484	+	4.22657i	−0.756463	+	0.150470i
$790$	3.86343	−	6.55841i	0.137455	−	0.233338i
$791$	0.381354	−	0.920671i	0.0135594	−	0.0327353i
$792$	3.11505	+	2.08141i	0.110688	+	0.0739596i
$793$	82.8867	−	16.4872i	2.94339	−	0.585478i
$794$	6.32403	−	31.7930i	0.224431	−	1.12829i
$795$	0.589030	−	4.19035i	0.0208907	−	0.148617i
$796$	−21.3483	+	14.2645i	−0.756670	+	0.505591i
$797$	28.9155	+	11.9772i	1.02424	+	0.424254i	0.830630	−	0.556824i	$-0.187980\pi$
$797$	28.9155	+	11.9772i	1.02424	+	0.424254i	0.193610	+	0.981079i	$0.437980\pi$
$798$	2.67574	+	2.67574i	0.0947202	+	0.0947202i
$799$	43.6864	−	8.74463i	1.54551	−	0.309363i
$800$	4.37323	−	2.42382i	0.154617	−	0.0856948i
$801$	4.17003	+	10.0673i	0.147341	+	0.355712i
$802$	6.65160	−	33.4398i	0.234876	−	1.18080i
$803$		−	3.53867i		−	0.124877i
$804$	11.0836	+	2.20466i	0.390887	+	0.0777523i
$805$	−0.408056	−	7.18948i	−0.0143821	−	0.253396i
$806$	−5.05691	−	25.4228i	−0.178122	−	0.895480i
$807$	1.30752	+	3.15664i	0.0460269	+	0.111119i
$808$	−0.778870	−	1.88036i	−0.0274006	−	0.0661508i
$809$	5.63069	+	28.3074i	0.197965	+	0.995236i	0.944155	+	0.329503i	$0.106881\pi$
$809$	5.63069	+	28.3074i	0.197965	+	0.995236i	−0.746190	+	0.665733i	$0.768119\pi$
$810$	7.67644	+	6.85186i	0.269723	+	0.240750i
$811$	−48.6221	−	9.67155i	−1.70735	−	0.339614i	−0.757626	−	0.652689i	$-0.773641\pi$
$811$	−48.6221	−	9.67155i	−1.70735	−	0.339614i	−0.949728	+	0.313075i	$0.898641\pi$
$812$			11.8102i			0.414457i
$813$	1.99144	−	10.0116i	0.0698428	−	0.351123i
$814$	−4.44052	−	10.7204i	−0.155640	−	0.375749i
$815$	−7.28993	−	1.02473i	−0.255355	−	0.0358948i
$816$	−2.96917	+	0.00358688i	−0.103942	+	0.000125566i
$817$	−8.75976	−	8.75976i	−0.306465	−	0.306465i
$818$	3.84508	+	1.59268i	0.134440	+	0.0556869i
$819$	−36.5886	+	24.4477i	−1.27851	+	0.854273i
$820$	5.07703	+	0.713668i	0.177298	+	0.0249224i
$821$	4.82401	−	24.2519i	0.168359	−	0.846398i	−0.800604	−	0.599194i	$-0.795488\pi$
$821$	4.82401	−	24.2519i	0.168359	−	0.846398i	0.968963	−	0.247205i	$-0.0795120\pi$
$822$	3.83961	−	0.763745i	0.133922	−	0.0266387i
$823$	−28.1888	−	18.8352i	−0.982601	−	0.656553i	−0.0430894	−	0.999071i	$-0.513720\pi$
$823$	−28.1888	−	18.8352i	−0.982601	−	0.656553i	−0.939511	+	0.342519i	$0.888720\pi$
$824$	−4.12141	+	9.94996i	−0.143576	+	0.346623i
$825$	−5.40135	+	0.615114i	−0.188051	+	0.0214155i
$826$	−20.4048	+	4.05877i	−0.709974	+	0.141223i
$827$	1.73456	+	8.72020i	0.0603164	+	0.303231i	0.999154	−	0.0411296i	$-0.0130957\pi$
$827$	1.73456	+	8.72020i	0.0603164	+	0.303231i	−0.938837	+	0.344361i	$0.888096\pi$
$828$	−2.16280	+	1.44513i	−0.0751624	+	0.0502219i
$829$	22.2666	−	22.2666i	0.773352	−	0.773352i	−0.205339	−	0.978691i	$-0.565830\pi$
$829$	22.2666	−	22.2666i	0.773352	−	0.773352i	0.978691	+	0.205339i	$0.0658298\pi$
$830$	11.0126	−	31.5327i	0.382254	−	1.09451i
$831$	9.23605	−	3.82570i	0.320395	−	0.132712i
$832$	4.08174	−	4.08174i	0.141509	−	0.141509i
$833$	−8.35139	+	5.59482i	−0.289358	+	0.193849i
$834$			7.33228i			0.253896i
$835$	5.47330	+	21.1660i	0.189411	+	0.732480i
$836$	−1.43471	−	2.14720i	−0.0496206	−	0.0742625i
$837$	−17.7253			−0.612675
$838$	−21.7671	−	32.5768i	−0.751932	−	1.12535i
$839$	−26.9300	−	17.9941i	−0.929728	−	0.621224i	−0.00423576	−	0.999991i	$-0.501348\pi$
$839$	−26.9300	−	17.9941i	−0.929728	−	0.621224i	−0.925492	+	0.378767i	$0.876348\pi$
$840$	4.93899	−	0.280324i	0.170411	−	0.00967211i
$841$	13.1389	+	5.44229i	0.453064	+	0.187665i
$842$	0.507398	−	0.210171i	0.0174861	−	0.00724298i
$843$	−7.18114	+	10.7473i	−0.247332	+	0.370158i
$844$	−2.55180	+	3.81904i	−0.0878365	+	0.131457i
$845$	−19.7399	−	40.9278i	−0.679073	−	1.40796i
$846$	18.9599	+	18.9599i	0.651855	+	0.651855i
$847$	−26.2758	−	5.22659i	−0.902848	−	0.179588i
$848$	1.00564	−	2.42783i	0.0345339	−	0.0833721i
$849$	4.33572			0.148801
$850$	−15.7190	+	13.3383i	−0.539159	+	0.457502i
$851$	8.05648			0.276173
$852$	−3.46065	+	8.35475i	−0.118560	+	0.286229i
$853$	−33.2997	−	6.62373i	−1.14016	−	0.226792i	−0.411330	−	0.911486i	$-0.634936\pi$
$853$	−33.2997	−	6.62373i	−1.14016	−	0.226792i	−0.728830	+	0.684694i	$0.759936\pi$
$854$	31.8036	+	31.8036i	1.08830	+	1.08830i
$855$	−4.12290	−	8.54823i	−0.141000	−	0.292343i
$856$	1.24177	−	1.85845i	0.0424430	−	0.0635204i
$857$	−6.53721	+	9.78363i	−0.223307	+	0.334202i	−0.926159	−	0.377134i	$-0.876910\pi$
$857$	−6.53721	+	9.78363i	−0.223307	+	0.334202i	0.702852	+	0.711336i	$0.251910\pi$
$858$	−5.79837	+	2.40176i	−0.197953	+	0.0819948i
$859$	26.2725	+	10.8824i	0.896408	+	0.371304i	0.782838	−	0.622226i	$-0.213771\pi$
$859$	26.2725	+	10.8824i	0.896408	+	0.371304i	0.113570	+	0.993530i	$0.463771\pi$
$860$	−16.1691	+	0.917717i	−0.551362	+	0.0312939i
$861$	4.21766	+	2.81815i	0.143737	+	0.0960423i
$862$	−5.44549	−	8.14975i	−0.185474	−	0.277582i
$863$	−51.2675			−1.74517			−0.872584	−	0.488465i	$-0.837557\pi$
$863$	−51.2675			−1.74517			−0.872584	+	0.488465i	$0.837557\pi$
$864$	−2.19302	−	3.28209i	−0.0746080	−	0.111659i
$865$	−1.60862	−	6.22076i	−0.0546947	−	0.211512i
$866$		−	22.5388i		−	0.765899i
$867$	12.0012	−	2.41734i	0.407581	−	0.0820972i
$868$	9.75472	−	9.75472i	0.331097	−	0.331097i
$869$	−4.74826	+	1.96679i	−0.161074	+	0.0667188i
$870$	−2.04104	+	5.84415i	−0.0691979	+	0.198135i
$871$	64.0530	−	64.0530i	2.17035	−	2.17035i
$872$	3.40907	−	2.27787i	0.115446	−	0.0771384i
$873$	−7.04075	−	35.3962i	−0.238293	−	1.19798i
$874$	1.75854	−	0.349795i	0.0594834	−	0.0118320i
$875$	24.9167	−	23.6413i	0.842339	−	0.799222i
$876$	−0.645909	+	1.55936i	−0.0218232	+	0.0526860i
$877$	17.8945	+	11.9567i	0.604253	+	0.403749i	0.819722	−	0.572762i	$-0.194128\pi$
$877$	17.8945	+	11.9567i	0.604253	+	0.403749i	−0.215469	+	0.976511i	$0.569128\pi$
$878$	−13.1800	+	2.62166i	−0.444802	+	0.0884767i
$879$	1.34791	−	6.77639i	0.0454638	−	0.228562i
$880$	−3.34315	−	0.469939i	−0.112697	−	0.0158416i
$881$	47.5157	−	31.7490i	1.60084	−	1.06965i	0.650019	−	0.759918i	$-0.274761\pi$
$881$	47.5157	−	31.7490i	1.60084	−	1.06965i	0.950824	−	0.309732i	$-0.100239\pi$
$882$	−5.58924	−	2.31514i	−0.188200	−	0.0779548i
$883$	−14.5856	−	14.5856i	−0.490844	−	0.490844i	0.417728	−	0.908572i	$-0.362826\pi$
$883$	−14.5856	−	14.5856i	−0.490844	−	0.490844i	−0.908572	+	0.417728i	$0.862826\pi$
$884$	−13.1989	+	19.8053i	−0.443927	+	0.666124i
$885$	−10.7985	−	1.51793i	−0.362989	−	0.0510246i
$886$	13.2246	+	31.9270i	0.444288	+	1.07261i
$887$	0.983121	−	4.94248i	0.0330100	−	0.165952i	−0.960764	−	0.277367i	$-0.910538\pi$
$887$	0.983121	−	4.94248i	0.0330100	−	0.165952i	0.993774	+	0.111415i	$0.0355382\pi$
$888$			5.53460i			0.185729i
$889$	−17.9606	−	3.57259i	−0.602380	−	0.119821i
$890$	−7.32567	−	6.53876i	−0.245557	−	0.219180i
$891$	−1.35540	−	6.81406i	−0.0454077	−	0.228280i
$892$	3.99967	+	9.65605i	0.133919	+	0.323309i
$893$	−7.07293	−	17.0756i	−0.236686	−	0.571412i
$894$	0.973559	+	4.89441i	0.0325607	+	0.163694i
$895$	−2.65318	−	46.7460i	−0.0886860	−	1.56254i
$896$	3.01311	+	0.599344i	0.100661	+	0.0200227i
$897$		−	4.35754i		−	0.145494i
$898$	1.50807	−	7.58157i	0.0503249	−	0.253000i
$899$	6.60611	+	15.9486i	0.220326	+	0.531914i
$900$	−11.9263	−	3.42049i	−0.397542	−	0.114016i
$901$	−2.10096	+	10.6293i	−0.0699931	+	0.354114i
$902$	−2.44781	−	2.44781i	−0.0815032	−	0.0815032i
$903$	−14.8036	−	6.13184i	−0.492632	−	0.204055i
$904$	0.269709	−	0.180214i	0.00897038	−	0.00599381i
$905$	−6.13455	+	43.6412i	−0.203919	+	1.45068i
$906$	−2.60289	+	13.0856i	−0.0864753	+	0.434741i
$907$	−38.7632	+	7.71048i	−1.28711	+	0.256022i	−0.790774	−	0.612108i	$-0.790322\pi$
$907$	−38.7632	+	7.71048i	−1.28711	+	0.256022i	−0.496336	+	0.868130i	$0.665322\pi$
$908$	2.04578	+	1.36695i	0.0678917	+	0.0453638i
$909$	−1.93270	+	4.66595i	−0.0641036	+	0.154760i
$910$	20.1268	−	34.1664i	0.667196	−	1.13261i
$911$	41.0362	−	8.16260i	1.35959	−	0.270439i	0.539168	−	0.842199i	$-0.318739\pi$
$911$	41.0362	−	8.16260i	1.35959	−	0.270439i	0.820421	+	0.571759i	$0.193739\pi$
$912$	0.240300	+	1.20807i	0.00795713	+	0.0400032i
$913$	−18.7513	+	12.5292i	−0.620578	+	0.414657i
$914$	5.05130	−	5.05130i	0.167082	−	0.167082i
$915$	10.2414	+	21.2340i	0.338569	+	0.701974i
$916$	17.2382	−	7.14030i	0.569567	−	0.235922i
$917$	−16.5102	+	16.5102i	−0.545215	+	0.545215i
$918$	11.5222	+	11.4944i	0.380291	+	0.379373i
$919$		−	20.9653i		−	0.691583i	−0.938311	−	0.345791i	$-0.887611\pi$
$919$		−	20.9653i		−	0.691583i	0.938311	−	0.345791i	$-0.112389\pi$
$920$	1.18972	−	2.01962i	0.0392238	−	0.0665848i
$921$	−10.5531	−	15.7938i	−0.347736	−	0.520423i
$922$	−32.0522			−1.05558
$923$	40.2723	+	60.2717i	1.32558	+	1.98387i
$924$	−2.77726	−	1.85571i	−0.0913653	−	0.0610483i
$925$	24.8275	+	29.3306i	0.816324	+	0.964386i
$926$	7.39126	+	3.06156i	0.242892	+	0.100609i
$927$	24.6900	−	10.2269i	0.810924	−	0.335896i
$928$	−2.13578	+	3.19641i	−0.0701103	+	0.104927i
$929$	−16.2188	+	24.2732i	−0.532122	+	0.796377i	−0.995984	−	0.0895308i	$-0.971463\pi$
$929$	−16.2188	+	24.2732i	−0.532122	+	0.796377i	0.463862	+	0.885907i	$0.346463\pi$
$930$	6.51284	−	3.14121i	0.213564	−	0.103004i
$931$	2.94870	+	2.94870i	0.0966398	+	0.0966398i
$932$	−20.7111	−	4.11970i	−0.678415	−	0.134945i
$933$	7.61729	−	18.3898i	0.249379	−	0.602054i
$934$	9.42263			0.308318
$935$	13.8963	−	0.805562i	0.454459	−	0.0263447i
$936$	−14.3238			−0.468189
$937$	9.67656	−	23.3613i	0.316119	−	0.763180i	−0.683333	−	0.730106i	$-0.739470\pi$
$937$	9.67656	−	23.3613i	0.316119	−	0.763180i	0.999453	−	0.0330735i	$-0.0105295\pi$
$938$	47.2834	+	9.40526i	1.54386	+	0.307093i
$939$	−11.3522	−	11.3522i	−0.370465	−	0.370465i
$940$	−22.8111	−	7.96667i	−0.744016	−	0.259844i
$941$	−25.7730	+	38.5721i	−0.840177	+	1.25741i	0.124034	+	0.992278i	$0.460417\pi$
$941$	−25.7730	+	38.5721i	−0.840177	+	1.25741i	−0.964211	+	0.265136i	$0.914583\pi$
$942$	−4.62527	+	6.92220i	−0.150699	+	0.225537i
$943$	2.22054	−	0.919779i	0.0723108	−	0.0299521i
$944$	−6.25653	−	2.59154i	−0.203633	−	0.0843474i
$945$	−20.2298	−	18.0567i	−0.658075	−	0.587386i
$946$	9.09212	+	6.07516i	0.295610	+	0.197521i
$947$	11.9057	+	17.8181i	0.386882	+	0.579010i	0.972882	−	0.231301i	$-0.0742982\pi$
$947$	11.9057	+	17.8181i	0.386882	+	0.579010i	−0.586000	+	0.810311i	$0.699298\pi$
$948$	2.45138			0.0796171
$949$	7.51657	+	11.2493i	0.243998	+	0.365169i
$950$	6.69273	+	5.32422i	0.217141	+	0.172740i
$951$			9.38709i			0.304397i
$952$	−12.6667	+	0.0153020i	−0.410531	+	0.000495939i
$953$	−23.3680	+	23.3680i	−0.756964	+	0.756964i	−0.975769	−	0.218804i	$-0.929784\pi$
$953$	−23.3680	+	23.3680i	−0.756964	+	0.756964i	0.218804	+	0.975769i	$0.429784\pi$
$954$	−6.02446	+	2.49541i	−0.195049	+	0.0807919i
$955$	3.59517	+	1.25560i	0.116337	+	0.0406302i
$956$	−6.02879	+	6.02879i	−0.194985	+	0.194985i
$957$	3.47531	−	2.32213i	0.112341	−	0.0750637i
$958$	2.96742	+	14.9182i	0.0958728	+	0.481985i
$959$	16.3801	−	3.25820i	0.528941	−	0.105213i
$960$	1.38743	+	0.817306i	0.0447790	+	0.0263784i
$961$	−4.14672	+	10.0111i	−0.133765	+	0.322938i
$962$	36.8877	+	24.6476i	1.18931	+	0.794670i
$963$	−5.43972	+	1.08203i	−0.175292	+	0.0348678i
$964$	−0.988814	+	4.97111i	−0.0318476	+	0.160109i
$965$	−4.03560	+	3.04088i	−0.129911	+	0.0978893i
$966$	1.92827	−	1.28843i	0.0620411	−	0.0414546i
$967$	7.47508	+	3.09628i	0.240382	+	0.0995696i	0.499622	−	0.866243i	$-0.333472\pi$
$967$	7.47508	+	3.09628i	0.240382	+	0.0995696i	−0.259240	+	0.965813i	$0.583472\pi$
$968$	−6.16633	−	6.16633i	−0.198193	−	0.198193i
$969$	−1.94916	−	4.68965i	−0.0626160	−	0.150653i
$970$	19.5712	+	25.9733i	0.628393	+	0.833951i
$971$	−14.2375	−	34.3723i	−0.456903	−	1.10306i	−0.969645	−	0.244518i	$-0.921370\pi$
$971$	−14.2375	−	34.3723i	−0.456903	−	1.10306i	0.512742	−	0.858543i	$-0.328630\pi$
$972$	−2.95675	+	14.8646i	−0.0948376	+	0.476781i
$973$			31.2801i			1.00279i
$974$	−12.3204	−	2.45067i	−0.394770	−	0.0785247i
$975$	15.8642	−	13.4286i	0.508060	−	0.430058i
$976$	2.85619	+	14.3590i	0.0914243	+	0.459621i
$977$	−12.8643	−	31.0573i	−0.411567	−	0.993610i	−0.984717	−	0.174160i	$-0.944279\pi$
$977$	−12.8643	−	31.0573i	−0.411567	−	0.993610i	0.573150	−	0.819450i	$-0.305721\pi$
$978$	−0.907273	−	2.19035i	−0.0290114	−	0.0700397i
$979$	1.29347	+	6.50270i	0.0413394	+	0.207827i
$980$	5.44284	−	0.308921i	0.173865	−	0.00986813i
$981$	−9.97844	−	1.98484i	−0.318587	−	0.0633709i
$982$		−	13.2628i		−	0.423233i
$983$	−9.65904	+	48.5593i	−0.308076	+	1.54880i	0.447829	+	0.894119i	$0.352197\pi$
$983$	−9.65904	+	48.5593i	−0.308076	+	1.54880i	−0.755905	+	0.654681i	$0.772803\pi$
$984$	0.631865	+	1.52546i	0.0201431	+	0.0486298i
$985$	7.42550	−	52.8249i	0.236596	−	1.68314i
$986$	6.04800	−	14.6512i	0.192608	−	0.466589i
$987$	−16.9040	−	16.9040i	−0.538059	−	0.538059i
$988$	9.12185	+	3.77839i	0.290205	+	0.120207i
$989$	−6.31272	+	4.21802i	−0.200733	+	0.134125i
$990$	5.04139	+	6.69053i	0.160226	+	0.212639i
$991$	−0.796194	+	4.00274i	−0.0252919	+	0.127151i	−0.991369	−	0.131104i	$-0.958148\pi$
$991$	−0.796194	+	4.00274i	−0.0252919	+	0.127151i	0.966077	+	0.258256i	$0.0831477\pi$
$992$	4.40416	−	0.876042i	0.139832	−	0.0278144i
$993$	−10.5427	−	7.04444i	−0.334564	−	0.223549i
$994$	−14.7634	+	35.6421i	−0.468268	+	1.13050i
$995$	−55.5836	+	14.3733i	−1.76212	+	0.455664i
$996$	10.5500	−	2.09852i	0.334289	−	0.0664942i
$997$	1.28900	+	6.48022i	0.0408229	+	0.205231i	0.995814	−	0.0914043i	$-0.0291356\pi$
$997$	1.28900	+	6.48022i	0.0408229	+	0.205231i	−0.954991	+	0.296635i	$0.904136\pi$
$998$	4.20048	−	2.80667i	0.132964	−	0.0888436i
$999$	21.4518	−	21.4518i	0.678705	−	0.678705i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.r.b.107.3	yes	40
5.2	odd	4		850.2.s.d.243.3		40
5.3	odd	4		170.2.o.b.73.3	yes	40
5.4	even	2		850.2.v.d.107.3		40
17.7	odd	16		170.2.o.b.7.3	✓	40
85.7	even	16		850.2.v.d.143.3		40
85.24	odd	16		850.2.s.d.7.3		40
85.58	even	16	inner	170.2.r.b.143.3	yes	40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.7.3	✓	40	17.7	odd	16
170.2.o.b.73.3	yes	40	5.3	odd	4
170.2.r.b.107.3	yes	40	1.1	even	1	trivial
170.2.r.b.143.3	yes	40	85.58	even	16	inner
850.2.s.d.7.3		40	85.24	odd	16
850.2.s.d.243.3		40	5.2	odd	4
850.2.v.d.107.3		40	5.4	even	2
850.2.v.d.143.3		40	85.7	even	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.r (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.706293 - 0.140490i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.971395 - 2.01405i) q^{5} +(0.400083 - 0.598766i) q^{6} +(1.70679 - 2.55439i) q^{7} +(0.923880 - 0.382683i) q^{8} +(-2.29253 - 0.949595i) q^{9} +O(q^{10})\)	\(q+(-0.382683 + 0.923880i) q^{2} +(-0.706293 - 0.140490i) q^{3} +(-0.707107 - 0.707107i) q^{4} +(-0.971395 - 2.01405i) q^{5} +(0.400083 - 0.598766i) q^{6} +(1.70679 - 2.55439i) q^{7} +(0.923880 - 0.382683i) q^{8} +(-2.29253 - 0.949595i) q^{9} +(2.23248 - 0.126709i) q^{10} +(-1.25535 - 0.838799i) q^{11} +(0.400083 + 0.598766i) q^{12} +5.77245 q^{13} +(1.70679 + 2.55439i) q^{14} +(0.403135 + 1.55898i) q^{15} +1.00000i q^{16} +(-0.809263 - 4.04291i) q^{17} +(1.75462 - 1.75462i) q^{18} +(-1.58024 + 0.654556i) q^{19} +(-0.737267 + 2.11103i) q^{20} +(-1.56436 + 1.56436i) q^{21} +(1.25535 - 0.838799i) q^{22} +(0.204506 + 1.02812i) q^{23} +(-0.706293 + 0.140490i) q^{24} +(-3.11278 + 3.91288i) q^{25} +(-2.20902 + 5.33305i) q^{26} +(3.28209 + 2.19302i) q^{27} +(-3.01311 + 0.599344i) q^{28} +(0.749985 - 3.77043i) q^{29} +(-1.59458 - 0.224147i) q^{30} +(-3.73367 + 2.49476i) q^{31} +(-0.923880 - 0.382683i) q^{32} +(0.768803 + 0.768803i) q^{33} +(4.04485 + 0.799492i) q^{34} +(-6.80263 - 0.956232i) q^{35} +(0.949595 + 2.29253i) q^{36} +(1.49938 - 7.53788i) q^{37} -1.71044i q^{38} +(-4.07704 - 0.810974i) q^{39} +(-1.66820 - 1.48900i) q^{40} +(-0.447311 - 2.24878i) q^{41} +(-0.846625 - 2.04393i) q^{42} +(2.77166 + 6.69137i) q^{43} +(0.294547 + 1.48079i) q^{44} +(0.314418 + 5.53969i) q^{45} +(-1.02812 - 0.204506i) q^{46} +10.8057i q^{47} +(0.140490 - 0.706293i) q^{48} +(-0.932993 - 2.25244i) q^{49} +(-2.42382 - 4.37323i) q^{50} +(0.00358688 + 2.96917i) q^{51} +(-4.08174 - 4.08174i) q^{52} +(-2.42783 - 1.00564i) q^{53} +(-3.28209 + 2.19302i) q^{54} +(-0.469939 + 3.34315i) q^{55} +(0.599344 - 3.01311i) q^{56} +(1.20807 - 0.240300i) q^{57} +(3.19641 + 2.13578i) q^{58} +(-2.59154 + 6.25653i) q^{59} +(0.817306 - 1.38743i) q^{60} +(14.3590 - 2.85619i) q^{61} +(-0.876042 - 4.40416i) q^{62} +(-6.33849 + 4.23525i) q^{63} +(0.707107 - 0.707107i) q^{64} +(-5.60733 - 11.6260i) q^{65} +(-1.00449 + 0.416073i) q^{66} +(11.0963 - 11.0963i) q^{67} +(-2.28653 + 3.43100i) q^{68} -0.754886i q^{69} +(3.48670 - 5.91888i) q^{70} +(6.97663 + 10.4413i) q^{71} -2.48141 q^{72} +(1.30215 + 1.94880i) q^{73} +(6.39030 + 4.26986i) q^{74} +(2.74826 - 2.32632i) q^{75} +(1.58024 + 0.654556i) q^{76} +(-4.28524 + 1.77500i) q^{77} +(2.30946 - 3.45635i) q^{78} +(1.89121 - 2.83039i) q^{79} +(2.01405 - 0.971395i) q^{80} +(3.25385 + 3.25385i) q^{81} +(2.24878 + 0.447311i) q^{82} +(5.71618 - 13.8001i) q^{83} +2.21234 q^{84} +(-7.35650 + 5.55716i) q^{85} -7.24269 q^{86} +(-1.05942 + 2.55766i) q^{87} +(-1.48079 - 0.294547i) q^{88} +(-3.10517 - 3.10517i) q^{89} +(-5.23833 - 1.82946i) q^{90} +(9.85235 - 14.7451i) q^{91} +(0.582384 - 0.871599i) q^{92} +(2.98755 - 1.23749i) q^{93} +(-9.98315 - 4.13515i) q^{94} +(2.85334 + 2.54684i) q^{95} +(0.598766 + 0.400083i) q^{96} +(8.08022 + 12.0929i) q^{97} +2.43803 q^{98} +(2.08141 + 3.11505i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q - 16 q^{10} - 16 q^{18} + 8 q^{25} - 8 q^{26} + 24 q^{27} - 8 q^{28} + 8 q^{29} + 16 q^{30} - 16 q^{31} - 32 q^{33} + 8 q^{34} - 32 q^{35} - 32 q^{39} - 56 q^{41} - 24 q^{42} + 16 q^{43} + 16 q^{44} + 24 q^{45} + 16 q^{49} - 32 q^{51} - 16 q^{52} + 16 q^{53} - 24 q^{54} - 8 q^{55} - 8 q^{56} - 120 q^{57} + 16 q^{58} + 8 q^{60} + 24 q^{61} - 8 q^{62} - 24 q^{63} - 32 q^{65} + 16 q^{67} - 8 q^{70} + 24 q^{71} + 56 q^{72} + 88 q^{73} + 32 q^{74} + 8 q^{75} + 24 q^{77} + 32 q^{78} - 104 q^{79} + 8 q^{80} + 48 q^{81} + 16 q^{82} + 16 q^{83} + 136 q^{85} + 96 q^{86} + 136 q^{87} - 16 q^{89} + 24 q^{90} + 48 q^{91} - 8 q^{92} - 8 q^{93} - 8 q^{94} - 136 q^{95} + 16 q^{97} + 72 q^{98} + 160 q^{99}+O(q^{100}) \) 40 * q - 16 * q^10 - 16 * q^18 + 8 * q^25 - 8 * q^26 + 24 * q^27 - 8 * q^28 + 8 * q^29 + 16 * q^30 - 16 * q^31 - 32 * q^33 + 8 * q^34 - 32 * q^35 - 32 * q^39 - 56 * q^41 - 24 * q^42 + 16 * q^43 + 16 * q^44 + 24 * q^45 + 16 * q^49 - 32 * q^51 - 16 * q^52 + 16 * q^53 - 24 * q^54 - 8 * q^55 - 8 * q^56 - 120 * q^57 + 16 * q^58 + 8 * q^60 + 24 * q^61 - 8 * q^62 - 24 * q^63 - 32 * q^65 + 16 * q^67 - 8 * q^70 + 24 * q^71 + 56 * q^72 + 88 * q^73 + 32 * q^74 + 8 * q^75 + 24 * q^77 + 32 * q^78 - 104 * q^79 + 8 * q^80 + 48 * q^81 + 16 * q^82 + 16 * q^83 + 136 * q^85 + 96 * q^86 + 136 * q^87 - 16 * q^89 + 24 * q^90 + 48 * q^91 - 8 * q^92 - 8 * q^93 - 8 * q^94 - 136 * q^95 + 16 * q^97 + 72 * q^98 + 160 * q^99

Introduction

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