LMFDB - Embedded newform 585.2.cn.a.119.19

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [585,2,Mod(59,585)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(585, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([10, 6, 11]))

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

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

chi := DirichletCharacter("585.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 585 = 3^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	585.cn (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$4.67124851824$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$80$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			119.19
Character	$\chi$	$=$	585.119
Dual form			585.2.cn.a.59.19

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.20043 + 1.20043i) q^{2} +(-1.41832 - 0.994165i) q^{3} -0.882060i q^{4} +(2.15454 - 0.598279i) q^{5} +(2.89602 - 0.509170i) q^{6} +(-4.33313 - 1.16106i) q^{7} +(-1.34201 - 1.34201i) q^{8} +(1.02327 + 2.82009i) q^{9} +O(q^{10})$	\(q+(-1.20043 + 1.20043i) q^{2} +(-1.41832 - 0.994165i) q^{3} -0.882060i q^{4} +(2.15454 - 0.598279i) q^{5} +(2.89602 - 0.509170i) q^{6} +(-4.33313 - 1.16106i) q^{7} +(-1.34201 - 1.34201i) q^{8} +(1.02327 + 2.82009i) q^{9} +(-1.86819 + 3.30457i) q^{10} +(-1.90170 + 1.90170i) q^{11} +(-0.876913 + 1.25104i) q^{12} +(2.49903 + 2.59900i) q^{13} +(6.59538 - 3.80784i) q^{14} +(-3.65062 - 1.29342i) q^{15} +4.98609 q^{16} +(0.0901313 + 0.0520373i) q^{17} +(-4.61369 - 2.15695i) q^{18} +(-0.546779 - 2.04061i) q^{19} +(-0.527718 - 1.90044i) q^{20} +(4.99148 + 5.95460i) q^{21} -4.56572i q^{22} +(1.75934 + 1.01576i) q^{23} +(0.569222 + 3.23758i) q^{24} +(4.28413 - 2.57804i) q^{25} +(-6.11983 - 0.120007i) q^{26} +(1.35231 - 5.01710i) q^{27} +(-1.02412 + 3.82208i) q^{28} -9.70712i q^{29} +(5.93498 - 2.82966i) q^{30} +(9.72328 + 2.60535i) q^{31} +(-3.30143 + 3.30143i) q^{32} +(4.58784 - 0.806621i) q^{33} +(-0.170663 + 0.0457291i) q^{34} +(-10.0306 + 0.0908662i) q^{35} +(2.48749 - 0.902587i) q^{36} +(7.96334 + 2.13377i) q^{37} +(3.10597 + 1.79324i) q^{38} +(-0.960595 - 6.17068i) q^{39} +(-3.69431 - 2.08852i) q^{40} +(-4.08250 + 1.09390i) q^{41} +(-13.1400 - 1.15615i) q^{42} +(4.23570 + 7.33645i) q^{43} +(1.67742 + 1.67742i) q^{44} +(3.89189 + 5.46381i) q^{45} +(-3.33131 + 0.892620i) q^{46} +(0.505861 - 0.135545i) q^{47} +(-7.07188 - 4.95700i) q^{48} +(11.3658 + 6.56202i) q^{49} +(-2.04804 + 8.23754i) q^{50} +(-0.0761015 - 0.163411i) q^{51} +(2.29248 - 2.20430i) q^{52} +9.35746 q^{53} +(4.39932 + 7.64602i) q^{54} +(-2.95956 + 5.23506i) q^{55} +(4.25694 + 7.37324i) q^{56} +(-1.25319 + 3.43783i) q^{57} +(11.6527 + 11.6527i) q^{58} +(-3.14018 + 3.14018i) q^{59} +(-1.14087 + 3.22007i) q^{60} +(2.39757 + 4.15272i) q^{61} +(-14.7996 + 8.54458i) q^{62} +(-1.15968 - 13.4079i) q^{63} +2.04591i q^{64} +(6.93921 + 4.10455i) q^{65} +(-4.53908 + 6.47566i) q^{66} +(-0.726788 + 0.194742i) q^{67} +(0.0459000 - 0.0795012i) q^{68} +(-1.48548 - 3.18974i) q^{69} +(11.9319 - 12.1500i) q^{70} +(-2.32065 + 0.621817i) q^{71} +(2.41134 - 5.15782i) q^{72} +(2.93490 - 2.93490i) q^{73} +(-12.1209 + 6.99799i) q^{74} +(-8.63926 - 0.602643i) q^{75} +(-1.79994 + 0.482292i) q^{76} +(10.4483 - 6.03234i) q^{77} +(8.56059 + 6.25433i) q^{78} +(6.59393 - 11.4210i) q^{79} +(10.7428 - 2.98307i) q^{80} +(-6.90583 + 5.77144i) q^{81} +(3.58760 - 6.21390i) q^{82} +(0.985305 + 3.67721i) q^{83} +(5.25231 - 4.40279i) q^{84} +(0.225325 + 0.0581931i) q^{85} +(-13.8915 - 3.72223i) q^{86} +(-9.65048 + 13.7678i) q^{87} +5.10421 q^{88} +(-4.97945 - 1.33424i) q^{89} +(-11.2308 - 1.88698i) q^{90} +(-7.81104 - 14.1633i) q^{91} +(0.895957 - 1.55184i) q^{92} +(-11.2006 - 13.3618i) q^{93} +(-0.444538 + 0.769962i) q^{94} +(-2.39891 - 4.06945i) q^{95} +(7.96466 - 1.40032i) q^{96} +(2.49617 - 9.31582i) q^{97} +(-21.5210 + 5.76654i) q^{98} +(-7.30894 - 3.41702i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9}+O(q^{10}) $ 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9	$ 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9} - 12 q^{10} - 12 q^{11} - 24 q^{14} + 10 q^{15} - 280 q^{16} - 16 q^{19} + 6 q^{20} + 8 q^{21} + 44 q^{24} - 48 q^{26} - 6 q^{30} - 4 q^{31} - 20 q^{34} + 66 q^{35} + 36 q^{36} + 20 q^{39} - 12 q^{40} + 12 q^{41} + 72 q^{44} + 4 q^{45} - 8 q^{46} - 12 q^{49} + 48 q^{50} + 84 q^{54} - 4 q^{55} - 12 q^{56} - 12 q^{59} - 76 q^{60} + 4 q^{61} - 84 q^{65} - 20 q^{66} - 12 q^{69} - 28 q^{70} - 48 q^{71} + 36 q^{74} + 12 q^{75} - 4 q^{76} - 20 q^{79} - 6 q^{80} - 48 q^{81} - 96 q^{84} - 16 q^{85} - 12 q^{86} - 60 q^{89} + 114 q^{90} - 16 q^{91} + 52 q^{94} - 12 q^{95} + 180 q^{96}+O(q^{100}) $ 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9 - 12 * q^10 - 12 * q^11 - 24 * q^14 + 10 * q^15 - 280 * q^16 - 16 * q^19 + 6 * q^20 + 8 * q^21 + 44 * q^24 - 48 * q^26 - 6 * q^30 - 4 * q^31 - 20 * q^34 + 66 * q^35 + 36 * q^36 + 20 * q^39 - 12 * q^40 + 12 * q^41 + 72 * q^44 + 4 * q^45 - 8 * q^46 - 12 * q^49 + 48 * q^50 + 84 * q^54 - 4 * q^55 - 12 * q^56 - 12 * q^59 - 76 * q^60 + 4 * q^61 - 84 * q^65 - 20 * q^66 - 12 * q^69 - 28 * q^70 - 48 * q^71 + 36 * q^74 + 12 * q^75 - 4 * q^76 - 20 * q^79 - 6 * q^80 - 48 * q^81 - 96 * q^84 - 16 * q^85 - 12 * q^86 - 60 * q^89 + 114 * q^90 - 16 * q^91 + 52 * q^94 - 12 * q^95 + 180 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

$n$	$326$	$352$	$496$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$-1$	$e\left(\frac{1}{12}\right)$

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 $

$2$	−1.20043	+	1.20043i	−0.848832	+	0.848832i	−0.989987	−	0.141156i	$-0.954918\pi$
$2$	−1.20043	+	1.20043i	−0.848832	+	0.848832i	0.141156	+	0.989987i	$0.454918\pi$
$3$	−1.41832	−	0.994165i	−0.818868	−	0.573981i
$3$	−1.41832	−	0.994165i	−0.818868	−	0.573981i
$4$		−	0.882060i		−	0.441030i
$5$	2.15454	−	0.598279i	0.963542	−	0.267558i
$5$	2.15454	−	0.598279i	0.963542	−	0.267558i
$6$	2.89602	−	0.509170i	1.18229	−	0.207868i
$7$	−4.33313	−	1.16106i	−1.63777	−	0.438839i	−0.681616	−	0.731710i	$-0.738723\pi$
$7$	−4.33313	−	1.16106i	−1.63777	−	0.438839i	−0.956152	+	0.292871i	$0.905389\pi$
$8$	−1.34201	−	1.34201i	−0.474471	−	0.474471i
$9$	1.02327	+	2.82009i	0.341091	+	0.940030i
$10$	−1.86819	+	3.30457i	−0.590773	+	1.04500i
$11$	−1.90170	+	1.90170i	−0.573386	+	0.573386i	−0.933073	−	0.359687i	$-0.882883\pi$
$11$	−1.90170	+	1.90170i	−0.573386	+	0.573386i	0.359687	+	0.933073i	$0.382883\pi$
$12$	−0.876913	+	1.25104i	−0.253143	+	0.361145i
$13$	2.49903	+	2.59900i	0.693107	+	0.720834i
$13$	2.49903	+	2.59900i	0.693107	+	0.720834i
$14$	6.59538	−	3.80784i	1.76269	−	1.01769i
$15$	−3.65062	−	1.29342i	−0.942587	−	0.333960i
$16$	4.98609			1.24652
$17$	0.0901313	+	0.0520373i	0.0218601	+	0.0126209i	0.510890	−	0.859646i	$-0.329316\pi$
$17$	0.0901313	+	0.0520373i	0.0218601	+	0.0126209i	−0.489030	+	0.872267i	$0.662649\pi$
$18$	−4.61369	−	2.15695i	−1.08746	−	0.508399i
$19$	−0.546779	−	2.04061i	−0.125440	−	0.468148i	0.874415	−	0.485178i	$-0.161245\pi$
$19$	−0.546779	−	2.04061i	−0.125440	−	0.468148i	−0.999855	+	0.0170308i	$0.994579\pi$
$20$	−0.527718	−	1.90044i	−0.118001	−	0.424951i
$21$	4.99148	+	5.95460i	1.08923	+	1.29940i
$22$		−	4.56572i		−	0.973415i
$23$	1.75934	+	1.01576i	0.366848	+	0.211800i	0.672080	−	0.740478i	$-0.265401\pi$
$23$	1.75934	+	1.01576i	0.366848	+	0.211800i	−0.305233	+	0.952278i	$0.598734\pi$
$24$	0.569222	+	3.23758i	0.116192	+	0.660867i
$25$	4.28413	−	2.57804i	0.856825	−	0.515607i
$26$	−6.11983	−	0.120007i	−1.20020	−	0.0235354i
$27$	1.35231	−	5.01710i	0.260251	−	0.965541i
$28$	−1.02412	+	3.82208i	−0.193541	+	0.722305i
$29$		−	9.70712i		−	1.80257i	−0.433229	−	0.901284i	$-0.642626\pi$
$29$		−	9.70712i		−	1.80257i	0.433229	−	0.901284i	$-0.357374\pi$
$30$	5.93498	−	2.82966i	1.08357	−	0.516622i
$31$	9.72328	+	2.60535i	1.74635	+	0.467934i	0.983842	−	0.179041i	$-0.0572996\pi$
$31$	9.72328	+	2.60535i	1.74635	+	0.467934i	0.762511	+	0.646975i	$0.223966\pi$
$32$	−3.30143	+	3.30143i	−0.583616	+	0.583616i
$33$	4.58784	−	0.806621i	0.798640	−	0.140415i
$34$	−0.170663	+	0.0457291i	−0.0292685	+	0.00784248i
$35$	−10.0306	+	0.0908662i	−1.69547	+	0.0153592i
$36$	2.48749	−	0.902587i	0.414581	−	0.150431i
$37$	7.96334	+	2.13377i	1.30917	+	0.350790i	0.844909	−	0.534911i	$-0.179655\pi$
$37$	7.96334	+	2.13377i	1.30917	+	0.350790i	0.464257	+	0.885700i	$0.346321\pi$
$38$	3.10597	+	1.79324i	0.503856	+	0.290901i
$39$	−0.960595	−	6.17068i	−0.153818	−	0.988099i
$40$	−3.69431	−	2.08852i	−0.584122	−	0.330224i
$41$	−4.08250	+	1.09390i	−0.637579	+	0.170839i	−0.563107	−	0.826384i	$-0.690394\pi$
$41$	−4.08250	+	1.09390i	−0.637579	+	0.170839i	−0.0744726	+	0.997223i	$0.523727\pi$
$42$	−13.1400	−	1.15615i	−2.02754	−	0.178397i
$43$	4.23570	+	7.33645i	0.645938	+	1.11880i	0.984084	+	0.177704i	$0.0568670\pi$
$43$	4.23570	+	7.33645i	0.645938	+	1.11880i	−0.338146	+	0.941094i	$0.609800\pi$
$44$	1.67742	+	1.67742i	0.252880	+	0.252880i
$45$	3.89189	+	5.46381i	0.580168	+	0.814497i
$46$	−3.33131	+	0.892620i	−0.491174	+	0.131610i
$47$	0.505861	−	0.135545i	0.0737874	−	0.0197713i	−0.221736	−	0.975107i	$-0.571172\pi$
$47$	0.505861	−	0.135545i	0.0737874	−	0.0197713i	0.295524	+	0.955335i	$0.404506\pi$
$48$	−7.07188	−	4.95700i	−1.02074	−	0.715481i
$49$	11.3658	+	6.56202i	1.62368	+	0.937432i
$50$	−2.04804	+	8.23754i	−0.289636	+	1.16496i
$51$	−0.0761015	−	0.163411i	−0.0106563	−	0.0228821i
$52$	2.29248	−	2.20430i	0.317909	−	0.305681i
$53$	9.35746			1.28535			0.642673	−	0.766141i	$-0.277825\pi$
$53$	9.35746			1.28535			0.642673	+	0.766141i	$0.277825\pi$
$54$	4.39932	+	7.64602i	0.598672	+	1.04049i
$55$	−2.95956	+	5.23506i	−0.399067	+	0.705895i
$56$	4.25694	+	7.37324i	0.568858	+	0.985291i
$57$	−1.25319	+	3.43783i	−0.165989	+	0.455351i
$58$	11.6527	+	11.6527i	1.53008	+	1.53008i
$59$	−3.14018	+	3.14018i	−0.408817	+	0.408817i	−0.881326	−	0.472509i	$-0.843348\pi$
$59$	−3.14018	+	3.14018i	−0.408817	+	0.408817i	0.472509	+	0.881326i	$0.343348\pi$
$60$	−1.14087	+	3.22007i	−0.147286	+	0.415709i
$61$	2.39757	+	4.15272i	0.306978	+	0.531701i	0.977700	−	0.210008i	$-0.0673489\pi$
$61$	2.39757	+	4.15272i	0.306978	+	0.531701i	−0.670722	+	0.741709i	$0.734016\pi$
$62$	−14.7996	+	8.54458i	−1.87956	+	1.08516i
$63$	−1.15968	−	13.4079i	−0.146106	−	1.68924i
$64$			2.04591i			0.255739i
$65$	6.93921	+	4.10455i	0.860703	+	0.509107i
$66$	−4.53908	+	6.47566i	−0.558722	+	0.797099i
$67$	−0.726788	+	0.194742i	−0.0887913	+	0.0237916i	−0.302941	−	0.953009i	$-0.597969\pi$
$67$	−0.726788	+	0.194742i	−0.0887913	+	0.0237916i	0.214150	+	0.976801i	$0.431302\pi$
$68$	0.0459000	−	0.0795012i	0.00556620	−	0.00964094i
$69$	−1.48548	−	3.18974i	−0.178831	−	0.384000i
$70$	11.9319	−	12.1500i	1.42613	−	1.45221i
$71$	−2.32065	+	0.621817i	−0.275411	+	0.0737961i	−0.393881	−	0.919162i	$-0.628868\pi$
$71$	−2.32065	+	0.621817i	−0.275411	+	0.0737961i	0.118470	+	0.992958i	$0.462201\pi$
$72$	2.41134	−	5.15782i	0.284180	−	0.607855i
$73$	2.93490	−	2.93490i	0.343504	−	0.343504i	−0.514179	−	0.857683i	$-0.671903\pi$
$73$	2.93490	−	2.93490i	0.343504	−	0.343504i	0.857683	+	0.514179i	$0.171903\pi$
$74$	−12.1209	+	6.99799i	−1.40902	+	0.813500i
$75$	−8.63926	−	0.602643i	−0.997576	−	0.0695872i
$76$	−1.79994	+	0.482292i	−0.206467	+	0.0553227i
$77$	10.4483	−	6.03234i	1.19070	−	0.687449i
$78$	8.56059	+	6.25433i	0.969296	+	0.708164i
$79$	6.59393	−	11.4210i	0.741875	−	1.28497i	−0.209765	−	0.977752i	$-0.567270\pi$
$79$	6.59393	−	11.4210i	0.741875	−	1.28497i	0.951641	−	0.307214i	$-0.0993967\pi$
$80$	10.7428	−	2.98307i	1.20108	−	0.333517i
$81$	−6.90583	+	5.77144i	−0.767314	+	0.641271i
$82$	3.58760	−	6.21390i	0.396184	−	0.686211i
$83$	0.985305	+	3.67721i	0.108151	+	0.403626i	0.998684	−	0.0512939i	$-0.0163345\pi$
$83$	0.985305	+	3.67721i	0.108151	+	0.403626i	−0.890532	+	0.454920i	$0.849668\pi$
$84$	5.25231	−	4.40279i	0.573074	−	0.480383i
$85$	0.225325	+	0.0581931i	0.0244399	+	0.00631193i
$86$	−13.8915	−	3.72223i	−1.49796	−	0.401378i
$87$	−9.65048	+	13.7678i	−1.03464	+	1.47607i
$88$	5.10421			0.544110
$89$	−4.97945	−	1.33424i	−0.527821	−	0.141429i	−0.0149392	−	0.999888i	$-0.504755\pi$
$89$	−4.97945	−	1.33424i	−0.527821	−	0.141429i	−0.512882	+	0.858459i	$0.671422\pi$
$90$	−11.2308	−	1.88698i	−1.18384	−	0.198905i
$91$	−7.81104	−	14.1633i	−0.818819	−	1.48472i
$92$	0.895957	−	1.55184i	0.0934100	−	0.161791i
$93$	−11.2006	−	13.3618i	−1.16145	−	1.38555i
$94$	−0.444538	+	0.769962i	−0.0458506	+	0.0794155i
$95$	−2.39891	−	4.06945i	−0.246123	−	0.417517i
$96$	7.96466	−	1.40032i	0.812890	−	0.142920i
$97$	2.49617	−	9.31582i	0.253447	−	0.945878i	−0.715501	−	0.698612i	$-0.753801\pi$
$97$	2.49617	−	9.31582i	0.253447	−	0.945878i	0.968948	−	0.247266i	$-0.0795320\pi$
$98$	−21.5210	+	5.76654i	−2.17395	+	0.582509i
$99$	−7.30894	−	3.41702i	−0.734576	−	0.343423i
$100$	−2.27398	−	3.77885i	−0.227398	−	0.377885i
$101$	6.46033			0.642827			0.321414	−	0.946939i	$-0.395842\pi$
$101$	6.46033			0.642827			0.321414	+	0.946939i	$0.395842\pi$
$102$	0.287518	+	0.104809i	0.0284685	+	0.0103776i
$103$	−4.16558	−	7.21499i	−0.410446	−	0.710914i	0.584492	−	0.811399i	$-0.301294\pi$
$103$	−4.16558	−	7.21499i	−0.410446	−	0.710914i	−0.994939	+	0.100485i	$0.967960\pi$
$104$	0.134161	−	6.84161i	0.0131556	−	0.670875i
$105$	14.3169	+	9.84314i	1.39718	+	0.960592i
$106$	−11.2330	+	11.2330i	−1.09104	+	1.09104i
$107$	1.27342	+	2.20562i	0.123106	+	0.213225i	0.920991	−	0.389584i	$-0.127381\pi$
$107$	1.27342	+	2.20562i	0.123106	+	0.213225i	−0.797885	+	0.602809i	$0.794048\pi$
$108$	−4.42538	−	1.19281i	−0.425832	−	0.114779i
$109$	−13.0646	+	13.0646i	−1.25137	+	1.25137i	−0.296258	+	0.955108i	$0.595739\pi$
$109$	−13.0646	+	13.0646i	−1.25137	+	1.25137i	−0.955108	+	0.296258i	$0.904261\pi$
$110$	−2.73157	−	9.83705i	−0.260445	−	0.937926i
$111$	−9.17326	−	10.9433i	−0.870688	−	1.03869i
$112$	−21.6054	−	5.78914i	−2.04151	−	0.547022i
$113$	4.81361			0.452827			0.226413	−	0.974031i	$-0.427300\pi$
$113$	4.81361			0.452827			0.226413	+	0.974031i	$0.427300\pi$
$114$	−2.62250	−	5.63123i	−0.245620	−	0.527413i
$115$	4.39828	+	1.13591i	0.410142	+	0.105925i
$116$	−8.56226			−0.794986
$117$	−4.77224	+	9.70699i	−0.441194	+	0.897412i
$118$		−	7.53913i		−	0.694033i
$119$	−0.330132	−	0.330132i	−0.0302632	−	0.0302632i
$120$	3.16339	+	6.63495i	0.288776	+	0.605685i
$121$			3.76704i			0.342458i
$122$	−7.86316	−	2.10693i	−0.711897	−	0.190752i
$123$	6.87782	+	2.50717i	0.620152	+	0.226064i
$124$	2.29807	−	8.57651i	0.206373	−	0.770194i
$125$	7.68796	−	8.11759i	0.687632	−	0.726060i
$126$	17.4873	+	14.7031i	1.55790	+	1.30986i
$127$	5.91628	+	10.2473i	0.524985	+	0.909301i	0.999577	+	0.0290948i	$0.00926247\pi$
$127$	5.91628	+	10.2473i	0.524985	+	0.909301i	−0.474591	+	0.880206i	$0.657404\pi$
$128$	−9.05883	−	9.05883i	−0.800695	−	0.800695i
$129$	1.28605	−	14.6164i	0.113231	−	1.28690i
$130$	−13.2573	+	3.40281i	−1.16274	+	0.298446i
$131$	9.77934	−	5.64610i	0.854425	−	0.493302i	−0.00771666	−	0.999970i	$-0.502456\pi$
$131$	9.77934	−	5.64610i	0.854425	−	0.493302i	0.862141	+	0.506668i	$0.169123\pi$
$132$	−0.711488	−	4.04675i	−0.0619271	−	0.352224i
$133$			9.47705i			0.821765i
$134$	0.638683	−	1.10623i	0.0551738	−	0.0955639i
$135$	−0.0880185	−	11.6186i	−0.00757542	−	0.999971i
$136$	−0.0511224	−	0.190791i	−0.00438371	−	0.0163602i
$137$	1.71779	−	6.41087i	0.146760	−	0.547717i	−0.852910	−	0.522057i	$-0.825165\pi$
$137$	1.71779	−	6.41087i	0.146760	−	0.547717i	0.999671	−	0.0256598i	$-0.00816867\pi$
$138$	5.61227	+	2.04584i	0.477748	+	0.174154i
$139$	−4.15874			−0.352740			−0.176370	−	0.984324i	$-0.556436\pi$
$139$	−4.15874			−0.352740			−0.176370	+	0.984324i	$0.556436\pi$
$140$	0.0801494	+	8.84755i	0.00677386	+	0.747754i
$141$	−0.852227	−	0.310663i	−0.0717705	−	0.0261625i
$142$	2.03933	−	3.53223i	0.171137	−	0.296418i
$143$	−9.69496	−	0.190114i	−0.810734	−	0.0158981i
$144$	5.10213	+	14.0612i	0.425177	+	1.17177i
$145$	−5.80756	−	20.9144i	−0.482292	−	1.73685i
$146$			7.04627i			0.583154i
$147$	−9.59656	−	20.6065i	−0.791511	−	1.69959i
$148$	1.88211	−	7.02415i	0.154709	−	0.577381i
$149$	−5.13513	−	5.13513i	−0.420686	−	0.420686i	0.464754	−	0.885440i	$-0.346143\pi$
$149$	−5.13513	−	5.13513i	−0.420686	−	0.420686i	−0.885440	+	0.464754i	$0.846143\pi$
$150$	11.0942	−	9.64739i	0.905842	−	0.787706i
$151$	10.7144	−	2.87093i	0.871929	−	0.233633i	0.205007	−	0.978760i	$-0.434278\pi$
$151$	10.7144	−	2.87093i	0.871929	−	0.233633i	0.666922	+	0.745128i	$0.267612\pi$
$152$	−2.00473	+	3.47229i	−0.162605	+	0.281640i
$153$	−0.0545212	+	0.307427i	−0.00440777	+	0.0248540i
$154$	−5.30107	+	19.7839i	−0.427172	+	1.59423i
$155$	22.5080	−	0.203898i	1.80788	−	0.0163775i
$156$	−5.44291	+	0.847302i	−0.435781	+	0.0678385i
$157$	−5.34775	+	3.08753i	−0.426797	+	0.246411i	−0.697981	−	0.716116i	$-0.745918\pi$
$157$	−5.34775	+	3.08753i	−0.426797	+	0.246411i	0.271184	+	0.962528i	$0.412585\pi$
$158$	5.79458	+	21.6257i	0.460992	+	1.72045i
$159$	−13.2719	−	9.30286i	−1.05253	−	0.737765i
$160$	−5.13791	+	9.08826i	−0.406187	+	0.718490i
$161$	−6.44409	−	6.44409i	−0.507866	−	0.507866i
$162$	1.36175	−	15.2182i	0.106989	−	1.19565i
$163$	−2.30486	−	8.60187i	−0.180531	−	0.673751i	−0.995543	−	0.0943068i	$-0.969937\pi$
$163$	−2.30486	−	8.60187i	−0.180531	−	0.673751i	0.815012	−	0.579444i	$-0.196730\pi$
$164$	0.964887	+	3.60101i	0.0753450	+	0.281192i
$165$	9.40211	−	4.48271i	0.731954	−	0.348978i
$166$	−5.59702	−	3.23144i	−0.434413	−	0.250808i
$167$	15.7776	−	4.22759i	1.22090	−	0.327140i	0.409873	−	0.912143i	$-0.365573\pi$
$167$	15.7776	−	4.22759i	1.22090	−	0.327140i	0.811032	+	0.585002i	$0.198906\pi$
$168$	1.29250	−	14.6897i	0.0997188	−	1.13334i
$169$	−0.509653	+	12.9900i	−0.0392041	+	0.999231i
$170$	−0.340343	+	0.200630i	−0.0261031	+	0.0153876i
$171$	5.19520	−	3.63006i	0.397287	−	0.277598i
$172$	6.47118	−	3.73614i	0.493423	−	0.284878i
$173$	−7.74627	+	4.47231i	−0.588938	+	0.340023i	−0.764677	−	0.644413i	$-0.777102\pi$
$173$	−7.74627	+	4.47231i	−0.588938	+	0.340023i	0.175740	+	0.984437i	$0.443768\pi$
$174$	−4.94258	−	28.1120i	−0.374696	−	2.13117i
$175$	−21.5569	+	6.19684i	−1.62955	+	0.468437i
$176$	−9.48207	+	9.48207i	−0.714738	+	0.714738i
$177$	7.57564	−	1.33193i	0.569420	−	0.100114i
$178$	7.57914	−	4.37582i	0.568081	−	0.327982i
$179$	3.14061	+	5.43969i	0.234740	+	0.406582i	0.959197	−	0.282738i	$-0.0912428\pi$
$179$	3.14061	+	5.43969i	0.234740	+	0.406582i	−0.724457	+	0.689320i	$0.757909\pi$
$180$	4.81941	−	3.43288i	0.359217	−	0.255871i
$181$		−	17.5675i		−	1.30578i	−0.757451	−	0.652892i	$-0.773556\pi$
$181$		−	17.5675i		−	1.30578i	0.757451	−	0.652892i	$-0.226444\pi$
$182$	26.3787	+	7.62549i	1.95532	+	0.565239i
$183$	0.727957	−	8.27347i	0.0538121	−	0.611593i
$184$	−0.997896	−	3.72420i	−0.0735659	−	0.274552i
$185$	18.4340	−	0.166992i	1.35529	−	0.0122775i
$186$	29.4854	+	2.59433i	2.16197	+	0.190225i
$187$	−0.270363	+	0.0724435i	−0.0197709	+	0.00529759i
$188$	−0.119559	−	0.446199i	−0.00871972	−	0.0325424i
$189$	−11.6849	+	20.1696i	−0.849948	+	1.46712i
$190$	7.76481	+	2.00537i	0.563319	+	0.145485i
$191$	8.94636	−	5.16518i	0.647336	−	0.373739i	−0.140099	−	0.990138i	$-0.544742\pi$
$191$	8.94636	−	5.16518i	0.647336	−	0.373739i	0.787435	+	0.616398i	$0.211409\pi$
$192$	2.03397	−	2.90176i	0.146789	−	0.209417i
$193$	5.95889	+	22.2389i	0.428931	+	1.60079i	0.755187	+	0.655509i	$0.227546\pi$
$193$	5.95889	+	22.2389i	0.428931	+	1.60079i	−0.326256	+	0.945281i	$0.605787\pi$
$194$	8.18651	+	14.1794i	0.587757	+	1.01802i
$195$	−5.76143	−	12.7203i	−0.412585	−	0.910919i
$196$	5.78809	−	10.0253i	0.413435	−	0.716091i
$197$	−16.0023	−	4.28780i	−1.14012	−	0.305493i	−0.361118	−	0.932520i	$-0.617605\pi$
$197$	−16.0023	−	4.28780i	−1.14012	−	0.305493i	−0.778998	+	0.627027i	$0.784272\pi$
$198$	12.8758	−	4.67198i	0.915040	−	0.332023i
$199$	13.7150	+	7.91835i	0.972229	+	0.561317i	0.899915	−	0.436065i	$-0.143628\pi$
$199$	13.7150	+	7.91835i	0.972229	+	0.561317i	0.0723141	+	0.997382i	$0.476962\pi$
$200$	−9.20908	−	2.28959i	−0.651180	−	0.161898i
$201$	1.22443	+	0.446340i	0.0863643	+	0.0314824i
$202$	−7.75517	+	7.75517i	−0.545652	+	0.545652i
$203$	−11.2705	+	42.0622i	−0.791036	+	2.95219i
$204$	−0.144138	+	0.0671261i	−0.0100917	+	0.00469977i
$205$	−8.14147	+	4.79933i	−0.568625	+	0.335200i
$206$	13.6616	+	3.66060i	0.951846	+	0.255046i
$207$	−1.06424	+	6.00089i	−0.0739697	+	0.417091i
$208$	12.4604	+	12.9589i	0.863974	+	0.898536i
$209$	4.92045	+	2.84082i	0.340354	+	0.196504i
$210$	−29.0024	+	5.37041i	−2.00136	+	0.370593i
$211$	−0.731807	+	1.26753i	−0.0503796	+	0.0872601i	−0.890115	−	0.455735i	$-0.849376\pi$
$211$	−0.731807	+	1.26753i	−0.0503796	+	0.0872601i	0.839736	+	0.542995i	$0.182710\pi$
$212$		−	8.25384i		−	0.566876i
$213$	3.90962	+	1.42518i	0.267883	+	0.0976514i
$214$	−4.17633	−	1.11905i	−0.285488	−	0.0764964i
$215$	13.5152	+	13.2726i	0.921732	+	0.905182i
$216$	−8.54779	+	4.91818i	−0.581603	+	0.334640i
$217$	−39.1072	−	22.5786i	−2.65477	−	1.53273i
$218$		−	31.3664i		−	2.12440i
$219$	−7.08040	+	1.24486i	−0.478449	+	0.0841196i
$220$	4.61763	+	2.61051i	0.311321	+	0.176000i
$221$	0.0899960	+	0.364295i	0.00605378	+	0.0245051i
$222$	24.1484	+	2.12475i	1.62074	+	0.142604i
$223$	6.17162	+	6.17162i	0.413282	+	0.413282i	0.882880	−	0.469598i	$-0.155601\pi$
$223$	6.17162	+	6.17162i	0.413282	+	0.413282i	−0.469598	+	0.882880i	$0.655601\pi$
$224$	18.1387	−	10.4724i	1.21194	−	0.699715i
$225$	11.6541	+	9.44359i	0.776942	+	0.629573i
$226$	−5.77840	+	5.77840i	−0.384374	+	0.384374i
$227$	−26.5316	−	7.10911i	−1.76096	−	0.471848i	−0.774052	−	0.633121i	$-0.781773\pi$
$227$	−26.5316	−	7.10911i	−1.76096	−	0.471848i	−0.986910	+	0.161273i	$0.948440\pi$
$228$	3.03237	+	1.10539i	0.200824	+	0.0732062i
$229$	−1.76953	+	6.60399i	−0.116934	+	0.436404i	−0.999424	−	0.0339267i	$-0.989199\pi$
$229$	−1.76953	+	6.60399i	−0.116934	+	0.436404i	0.882490	+	0.470331i	$0.155865\pi$
$230$	−6.64341	+	3.91624i	−0.438053	+	0.258229i
$231$	−20.8162	−	1.83155i	−1.36961	−	0.120507i
$232$	−13.0270	+	13.0270i	−0.855267	+	0.855267i
$233$			12.1442i			0.795593i	0.917474	+	0.397796i	$0.130225\pi$
$233$			12.1442i			0.795593i	−0.917474	+	0.397796i	$0.869775\pi$
$234$	−5.92383	−	17.3813i	−0.387253	−	1.13625i
$235$	1.00881	−	0.594683i	0.0658073	−	0.0387929i
$236$	2.76983	+	2.76983i	0.180300	+	0.180300i
$237$	−20.7067	+	9.64323i	−1.34504	+	0.626395i
$238$	0.792600			0.0513766
$239$	0.382059	−	1.42586i	0.0247133	−	0.0922314i	−0.952468	−	0.304640i	$-0.901464\pi$
$239$	0.382059	−	1.42586i	0.0247133	−	0.0922314i	0.977181	+	0.212408i	$0.0681306\pi$
$240$	−18.2023	−	6.44911i	−1.17496	−	0.416289i
$241$	5.13441	−	19.1619i	0.330737	−	1.23433i	−0.577681	−	0.816262i	$-0.696042\pi$
$241$	5.13441	−	19.1619i	0.330737	−	1.23433i	0.908418	−	0.418063i	$-0.137291\pi$
$242$	−4.52206	−	4.52206i	−0.290689	−	0.290689i
$243$	15.5324	−	1.32023i	0.996407	−	0.0846929i
$244$	3.66295	−	2.11480i	0.234496	−	0.135386i
$245$	28.4139	+	7.33828i	1.81530	+	0.468825i
$246$	−11.2660	+	5.24665i	−0.718295	+	0.334514i
$247$	3.93713	−	6.52063i	0.250514	−	0.414898i
$248$	−9.55233	−	16.5451i	−0.606573	−	1.05062i
$249$	2.25827	−	6.19502i	0.143112	−	0.392594i
$250$	0.515751	+	18.9734i	0.0326190	+	1.19999i
$251$	−1.91896	+	3.32374i	−0.121124	+	0.209793i	−0.920211	−	0.391422i	$-0.871983\pi$
$251$	−1.91896	+	3.32374i	−0.121124	+	0.209793i	0.799087	+	0.601215i	$0.205316\pi$
$252$	−11.8266	+	1.02291i	−0.745003	+	0.0644371i
$253$	−5.27741	+	1.41408i	−0.331788	+	0.0889023i
$254$	−19.4032	−	5.19908i	−1.21747	−	0.326219i
$255$	−0.261729	−	0.306547i	−0.0163901	−	0.0191967i
$256$	17.6572			1.10357
$257$	−21.7745	−	12.5715i	−1.35826	−	0.784190i	−0.368869	−	0.929481i	$-0.620255\pi$
$257$	−21.7745	−	12.5715i	−1.35826	−	0.784190i	−0.989389	+	0.145291i	$0.953588\pi$
$258$	16.0022	+	19.0898i	0.996251	+	1.18848i
$259$	−32.0287	−	18.4918i	−1.99017	−	1.14902i
$260$	3.62046	−	6.12080i	0.224531	−	0.379596i
$261$	27.3750	−	9.93303i	1.69447	−	0.614839i
$262$	−4.96165	+	18.5171i	−0.306532	+	1.14399i
$263$	−23.3367			−1.43900			−0.719500	−	0.694492i	$-0.755629\pi$
$263$	−23.3367			−1.43900			−0.719500	+	0.694492i	$0.755629\pi$
$264$	−7.23940	−	5.07442i	−0.445555	−	0.312309i
$265$	20.1611	−	5.59837i	1.23848	−	0.343905i
$266$	−11.3765	−	11.3765i	−0.697540	−	0.697540i
$267$	5.73601	+	6.84278i	0.351038	+	0.418771i
$268$	0.171774	+	0.641071i	0.0104928	+	0.0391596i
$269$	25.4215	+	14.6771i	1.54998	+	0.894880i	0.998142	+	0.0609273i	$0.0194058\pi$
$269$	25.4215	+	14.6771i	1.54998	+	0.894880i	0.551836	+	0.833953i	$0.313928\pi$
$270$	14.0530	+	13.8417i	0.855237	+	0.842377i
$271$	−3.23422	+	12.0703i	−0.196465	+	0.733217i	0.795418	+	0.606061i	$0.207251\pi$
$271$	−3.23422	+	12.0703i	−0.196465	+	0.733217i	−0.991883	+	0.127156i	$0.959415\pi$
$272$	0.449403	+	0.259463i	0.0272491	+	0.0157322i
$273$	−3.00213	+	27.8536i	−0.181697	+	1.68578i
$274$	5.63371	+	9.75787i	0.340345	+	0.589494i
$275$	−3.24448	+	13.0498i	−0.195649	+	0.786933i
$276$	−2.81354	+	1.31028i	−0.169355	+	0.0788698i
$277$	−2.65989	−	4.60707i	−0.159817	−	0.276812i	0.774985	−	0.631979i	$-0.217757\pi$
$277$	−2.65989	−	4.60707i	−0.159817	−	0.276812i	−0.934803	+	0.355167i	$0.884424\pi$
$278$	4.99228	−	4.99228i	0.299417	−	0.299417i
$279$	2.60225	+	30.0865i	0.155793	+	1.80123i
$280$	13.5830	+	13.3391i	0.811741	+	0.797166i
$281$	−2.28615	−	8.53202i	−0.136380	−	0.508978i	−0.999988	−	0.00481434i	$-0.998468\pi$
$281$	−2.28615	−	8.53202i	−0.136380	−	0.508978i	0.863608	−	0.504164i	$-0.168199\pi$
$282$	1.39597	−	0.650110i	0.0831286	−	0.0387135i
$283$	12.6233	−	21.8642i	0.750378	−	1.29969i	−0.197261	−	0.980351i	$-0.563205\pi$
$283$	12.6233	−	21.8642i	0.750378	−	1.29969i	0.947639	−	0.319342i	$-0.103462\pi$
$284$	0.548480	+	2.04696i	0.0325463	+	0.121464i
$285$	−0.643279	+	8.15671i	−0.0381046	+	0.483162i
$286$	11.8663	−	11.4099i	0.701671	−	0.674681i
$287$	18.9601			1.11918
$288$	−12.6886	−	5.93207i	−0.747683	−	0.349551i
$289$	−8.49458	−	14.7131i	−0.499681	−	0.865474i
$290$	32.0779	+	18.1347i	1.88368	+	1.06491i
$291$	−12.8018	+	10.7312i	−0.750456	+	0.629075i
$292$	−2.58876	−	2.58876i	−0.151495	−	0.151495i
$293$	10.8660	+	10.8660i	0.634800	+	0.634800i	0.949268	−	0.314468i	$-0.101826\pi$
$293$	10.8660	+	10.8660i	0.634800	+	0.634800i	−0.314468	+	0.949268i	$0.601826\pi$
$294$	36.2566	+	13.2166i	2.11453	+	0.770810i
$295$	−4.88696	+	8.64436i	−0.284530	+	0.503294i
$296$	−7.82333	−	13.5504i	−0.454722	−	0.787602i
$297$	6.96935	+	12.1127i	0.404403	+	0.702852i
$298$	12.3287			0.714184
$299$	1.75670	+	7.11094i	0.101592	+	0.411236i
$300$	−0.531567	+	7.62034i	−0.0306900	+	0.439961i
$301$	−9.83578	−	36.7076i	−0.566925	−	2.11579i
$302$	−9.41559	+	16.3083i	−0.541806	+	0.938436i
$303$	−9.16283	−	6.42264i	−0.526391	−	0.368971i
$304$	−2.72629	−	10.1747i	−0.156363	−	0.583556i
$305$	7.65016	+	7.51280i	0.438047	+	0.430182i
$306$	−0.303595	−	0.434493i	−0.0173554	−	0.0248383i
$307$	−1.67824	+	1.67824i	−0.0957823	+	0.0957823i	−0.753374	−	0.657592i	$-0.771575\pi$
$307$	−1.67824	+	1.67824i	−0.0957823	+	0.0957823i	0.657592	+	0.753374i	$0.271575\pi$
$308$	−5.32088	−	9.21604i	−0.303185	−	0.525133i
$309$	−1.26476	+	14.3744i	−0.0719498	+	0.817733i
$310$	−26.7744	+	27.2640i	−1.52069	+	1.54849i
$311$	2.55418	+	4.42397i	0.144834	+	0.250860i	0.929311	−	0.369298i	$-0.120402\pi$
$311$	2.55418	+	4.42397i	0.144834	+	0.250860i	−0.784477	+	0.620158i	$0.787068\pi$
$312$	−6.99197	+	9.57022i	−0.395842	+	0.541807i
$313$	−17.1309	−	9.89051i	−0.968294	−	0.559045i	−0.0695783	−	0.997576i	$-0.522165\pi$
$313$	−17.1309	−	9.89051i	−0.968294	−	0.559045i	−0.898716	+	0.438532i	$0.855499\pi$
$314$	2.71324	−	10.1260i	0.153117	−	0.571441i
$315$	−10.5202	−	28.1941i	−0.592748	−	1.58856i
$316$	−10.0740	−	5.81624i	−0.566708	−	0.327189i
$317$	−2.25375	−	8.41111i	−0.126583	−	0.472415i	0.873308	−	0.487169i	$-0.161970\pi$
$317$	−2.25375	−	8.41111i	−0.126583	−	0.472415i	−0.999891	+	0.0147535i	$0.995304\pi$
$318$	27.0994	−	4.76454i	1.51966	−	0.267182i
$319$	18.4601	+	18.4601i	1.03357	+	1.03357i
$320$	1.22403	+	4.40801i	0.0684251	+	0.246415i
$321$	0.386637	−	4.39426i	0.0215800	−	0.245264i
$322$	15.4714			0.862185
$323$	0.0569059	−	0.212376i	0.00316633	−	0.0118169i
$324$	5.09076	+	6.09135i	0.282820	+	0.338408i
$325$	17.4065	+	4.69186i	0.965539	+	0.260258i
$326$	13.0928	+	7.55911i	0.725141	+	0.418660i
$327$	31.5183	−	5.54146i	1.74296	−	0.306443i
$328$	6.94677	+	4.01072i	0.383571	+	0.221455i
$329$	−2.34933			−0.129523
$330$	−5.90540	+	16.6677i	−0.325082	+	0.917529i
$331$	23.9528	+	6.41813i	1.31656	+	0.352772i	0.847689	−	0.530493i	$-0.177993\pi$
$331$	23.9528	+	6.41813i	1.31656	+	0.352772i	0.468874	+	0.883265i	$0.344660\pi$
$332$	3.24352	−	0.869098i	0.178011	−	0.0476980i
$333$	2.13124	+	24.6408i	0.116791	+	1.35031i
$334$	−13.8649	+	24.0148i	−0.758655	+	1.31403i
$335$	−1.44939	+	0.854403i	−0.0791885	+	0.0466810i
$336$	24.8880	+	29.6902i	1.35775	+	1.61973i
$337$	16.8705	+	29.2206i	0.918996	+	1.59175i	0.800944	+	0.598740i	$0.204332\pi$
$337$	16.8705	+	29.2206i	0.918996	+	1.59175i	0.118052	+	0.993007i	$0.462335\pi$
$338$	−14.9818	−	16.2054i	−0.814901	−	0.881457i
$339$	−6.82725	−	4.78553i	−0.370805	−	0.259914i
$340$	0.0513298	−	0.198750i	0.00278375	−	0.0107787i
$341$	−23.4454	+	13.5362i	−1.26964	+	0.733027i
$342$	−1.87883	+	10.5941i	−0.101595	+	0.572863i
$343$	−19.4259	−	19.4259i	−1.04890	−	1.04890i
$344$	4.16123	−	15.5299i	0.224358	−	0.837317i
$345$	−5.10889	−	5.98371i	−0.275053	−	0.322152i
$346$	3.93015	−	14.6675i	0.211286	−	0.788531i
$347$	31.8498			1.70979			0.854894	−	0.518803i	$-0.173622\pi$
$347$	31.8498			1.70979			0.854894	+	0.518803i	$0.173622\pi$
$348$	12.1440	+	8.51230i	0.650989	+	0.456307i
$349$	−5.59266	−	5.59266i	−0.299368	−	0.299368i	0.541398	−	0.840766i	$-0.317895\pi$
$349$	−5.59266	−	5.59266i	−0.299368	−	0.299368i	−0.840766	+	0.541398i	$0.817895\pi$
$350$	18.4387	−	33.3164i	0.985588	−	1.78084i
$351$	16.4189	−	9.02325i	0.876377	−	0.481625i
$352$		−	12.5567i		−	0.669274i
$353$	−6.46749	+	6.46749i	−0.344230	+	0.344230i	−0.857955	−	0.513725i	$-0.828265\pi$
$353$	−6.46749	+	6.46749i	−0.344230	+	0.344230i	0.513725	+	0.857955i	$0.328265\pi$
$354$	−7.49514	+	10.6929i	−0.398362	+	0.568322i
$355$	−4.62793	+	2.72813i	−0.245625	+	0.144794i
$356$	−1.17688	+	4.39218i	−0.0623745	+	0.232785i
$357$	0.140028	+	0.796439i	0.00741105	+	0.0421520i
$358$	−10.3000	−	2.75989i	−0.544374	−	0.145865i
$359$	−0.924479	+	0.924479i	−0.0487921	+	0.0487921i	−0.731082	−	0.682290i	$-0.760984\pi$
$359$	−0.924479	+	0.924479i	−0.0487921	+	0.0487921i	0.682290	+	0.731082i	$0.260984\pi$
$360$	2.10953	−	12.5554i	0.111182	−	0.661729i
$361$	12.5894	−	7.26848i	0.662598	−	0.382551i
$362$	21.0886	+	21.0886i	1.10839	+	1.10839i
$363$	3.74506	−	5.34287i	0.196565	−	0.280428i
$364$	−12.4929	+	6.88980i	−0.654807	+	0.361124i
$365$	4.56748	−	8.07926i	0.239073	−	0.422888i
$366$	9.05786	+	10.8056i	0.473462	+	0.564817i
$367$			5.61004i			0.292841i	0.989222	+	0.146421i	$0.0467753\pi$
$367$			5.61004i			0.292841i	−0.989222	+	0.146421i	$0.953225\pi$
$368$	8.77223	+	5.06465i	0.457284	+	0.264013i
$369$	−7.26241	−	10.3937i	−0.378066	−	0.541072i
$370$	−21.9282	+	22.3291i	−1.13999	+	1.16084i
$371$	−40.5471	−	10.8646i	−2.10510	−	0.564059i
$372$	−11.7859	+	9.87959i	−0.611069	+	0.512233i
$373$			3.86705i			0.200228i	0.994976	+	0.100114i	$0.0319208\pi$
$373$			3.86705i			0.200228i	−0.994976	+	0.100114i	$0.968079\pi$
$374$	0.237588	−	0.411515i	0.0122854	−	0.0212789i
$375$	−18.9742	+	3.87026i	−0.979825	+	0.199860i
$376$	−0.860772	−	0.496967i	−0.0443909	−	0.0256291i
$377$	25.2289	−	24.2584i	1.29935	−	1.24937i
$378$	−10.1854	−	38.2390i	−0.523878	−	1.96680i
$379$	−23.7368	−	6.36027i	−1.21928	−	0.326705i	−0.408883	−	0.912587i	$-0.634082\pi$
$379$	−23.7368	−	6.36027i	−1.21928	−	0.326705i	−0.810397	+	0.585882i	$0.800748\pi$
$380$	−3.58950	+	2.11598i	−0.184138	+	0.108548i
$381$	1.79632	−	20.4157i	0.0920281	−	1.04593i
$382$	−4.53903	+	16.9399i	−0.232237	+	0.866721i
$383$	15.5799	−	15.5799i	0.796097	−	0.796097i	−0.186381	−	0.982478i	$-0.559676\pi$
$383$	15.5799	−	15.5799i	0.796097	−	0.796097i	0.982478	+	0.186381i	$0.0596757\pi$
$384$	3.84237	+	21.8543i	0.196080	+	1.11525i
$385$	18.9023	−	19.2479i	0.963353	−	0.980966i
$386$	−33.8494	−	19.5430i	−1.72289	−	0.994712i
$387$	−16.3552	+	19.4522i	−0.831380	+	0.988813i
$388$	−8.21711	−	2.20177i	−0.417160	−	0.111778i
$389$	−11.1459	+	19.3053i	−0.565120	+	0.978816i	0.431919	+	0.901913i	$0.357837\pi$
$389$	−11.1459	+	19.3053i	−0.565120	+	0.978816i	−0.997039	+	0.0769038i	$0.975497\pi$
$390$	22.1860	+	8.35362i	1.12343	+	0.423002i
$391$	0.105714	+	0.183103i	0.00534621	+	0.00925990i
$392$	−6.44665	−	24.0592i	−0.325605	−	1.21517i
$393$	−19.4834	−	1.71428i	−0.982808	−	0.0864742i
$394$	24.3568	−	14.0624i	1.22708	−	0.708454i
$395$	7.37396	−	28.5521i	0.371024	−	1.43661i
$396$	−3.01401	+	6.44692i	−0.151460	+	0.323970i
$397$	−3.06064	−	11.4225i	−0.153609	−	0.573276i	−0.999220	−	0.0394776i	$-0.987431\pi$
$397$	−3.06064	−	11.4225i	−0.153609	−	0.573276i	0.845612	−	0.533799i	$-0.179236\pi$
$398$	−25.9693	+	6.95845i	−1.30172	+	0.348795i
$399$	9.42175	−	13.4415i	0.471678	−	0.672917i
$400$	21.3610	−	12.8543i	1.06805	−	0.642716i
$401$	−2.84149	−	10.6046i	−0.141897	−	0.529568i	−0.999874	−	0.0158793i	$-0.994945\pi$
$401$	−2.84149	−	10.6046i	−0.141897	−	0.529568i	0.857977	−	0.513689i	$-0.171721\pi$
$402$	−2.00564	+	0.934036i	−0.100032	+	0.0465855i
$403$	17.5275	+	31.7817i	0.873107	+	1.58316i
$404$		−	5.69840i		−	0.283506i
$405$	−11.4260	+	16.5664i	−0.567762	+	0.823193i
$406$	−36.9632	−	64.0222i	−1.83445	−	3.17737i
$407$	−19.2017	+	11.0861i	−0.951795	+	0.549519i
$408$	−0.117170	+	0.321428i	−0.00580079	+	0.0159130i
$409$	−6.87593	+	6.87593i	−0.339993	+	0.339993i	−0.856364	−	0.516372i	$-0.827282\pi$
$409$	−6.87593	+	6.87593i	−0.339993	+	0.339993i	0.516372	+	0.856364i	$0.327282\pi$
$410$	4.01200	−	15.5345i	0.198138	−	0.767195i
$411$	−8.80983	+	7.38491i	−0.434557	+	0.364271i
$412$	−6.36405	+	3.67429i	−0.313534	+	0.181019i
$413$	17.2527	−	9.96087i	0.848952	−	0.490142i
$414$	−5.92610	−	8.48119i	−0.291252	−	0.416828i
$415$	4.32288	+	7.33322i	0.212202	+	0.359974i
$416$	−16.8308	−	0.330045i	−0.825199	−	0.0161818i
$417$	5.89844	+	4.13448i	0.288848	+	0.202466i
$418$	−9.31685	+	2.49644i	−0.455702	+	0.122105i
$419$	29.9139	+	17.2708i	1.46139	+	0.843734i	0.999076	−	0.0429829i	$-0.0136861\pi$
$419$	29.9139	+	17.2708i	1.46139	+	0.843734i	0.462314	+	0.886716i	$0.347019\pi$
$420$	8.68224	−	12.6283i	0.423650	−	0.616200i
$421$	7.08794	+	26.4526i	0.345445	+	1.28922i	0.892091	+	0.451855i	$0.149238\pi$
$421$	7.08794	+	26.4526i	0.345445	+	1.28922i	−0.546646	+	0.837364i	$0.684096\pi$
$422$	−0.643093	−	2.40006i	−0.0313053	−	0.116833i
$423$	0.899883	+	1.28787i	0.0437538	+	0.0626186i
$424$	−12.5578	−	12.5578i	−0.609860	−	0.609860i
$425$	0.520288	−	0.00942730i	0.0252377	−	0.000457291i
$426$	−6.40405	+	2.98240i	−0.310277	+	0.144498i
$427$	−5.56744	−	20.7780i	−0.269427	−	1.00552i
$428$	1.94549	−	1.12323i	0.0940387	−	0.0542933i
$429$	13.5616	+	9.90804i	0.654759	+	0.478365i
$430$	−32.1569	+	0.291307i	−1.55074	+	0.0140481i
$431$	−3.08631	+	11.5183i	−0.148662	+	0.554816i	0.850903	+	0.525324i	$0.176056\pi$
$431$	−3.08631	+	11.5183i	−0.148662	+	0.554816i	−0.999565	+	0.0294922i	$0.990611\pi$
$432$	6.74272	−	25.0157i	0.324409	−	1.20357i
$433$	−5.50304	+	9.53155i	−0.264459	+	0.458057i	−0.967422	−	0.253170i	$-0.918527\pi$
$433$	−5.50304	+	9.53155i	−0.264459	+	0.458057i	0.702962	+	0.711227i	$0.251860\pi$
$434$	74.0495	−	19.8415i	3.55449	−	0.952422i
$435$	−12.5554	+	35.4371i	−0.601985	+	1.69908i
$436$	11.5238	+	11.5238i	0.551890	+	0.551890i
$437$	1.11079	−	4.14552i	0.0531362	−	0.198307i
$438$	7.00516	−	9.99388i	0.334719	−	0.477526i
$439$		−	16.1237i		−	0.769543i	−0.923012	−	0.384771i	$-0.874280\pi$
$439$		−	16.1237i		−	0.769543i	0.923012	−	0.384771i	$-0.125720\pi$
$440$	10.9972	−	3.05374i	0.524273	−	0.145581i
$441$	−6.87523	+	38.7672i	−0.327392	+	1.84606i
$442$	−0.545344	−	0.329276i	−0.0259394	−	0.0156621i
$443$	1.09228	−	1.89189i	0.0518960	−	0.0898865i	−0.838910	−	0.544270i	$-0.816807\pi$
$443$	1.09228	−	1.89189i	0.0518960	−	0.0898865i	0.890806	+	0.454383i	$0.150140\pi$
$444$	−9.65260	+	8.09137i	−0.458092	+	0.383999i
$445$	−11.5267	+	0.104420i	−0.546418	+	0.00494997i
$446$	−14.8172			−0.701614
$447$	2.17810	+	12.3884i	0.103021	+	0.585953i
$448$	2.37542	−	8.86519i	0.112228	−	0.418841i
$449$	6.74067	+	25.1565i	0.318112	+	1.18721i	0.921057	+	0.389427i	$0.127327\pi$
$449$	6.74067	+	25.1565i	0.318112	+	1.18721i	−0.602945	+	0.797783i	$0.706006\pi$
$450$	−25.3263	+	2.65359i	−1.19389	+	0.125091i
$451$	5.68343	−	9.84399i	0.267622	−	0.463535i
$452$		−	4.24589i		−	0.199710i
$453$	−18.0507	−	6.58003i	−0.848096	−	0.309157i
$454$	40.3833	−	23.3153i	1.89528	−	1.09424i
$455$	−25.3029	−	25.8424i	−1.18622	−	1.21151i
$456$	6.29538	−	2.93180i	0.294808	−	0.137294i
$457$	−1.09040	−	1.09040i	−0.0510068	−	0.0510068i	0.681143	−	0.732150i	$-0.261483\pi$
$457$	−1.09040	−	1.09040i	−0.0510068	−	0.0510068i	−0.732150	+	0.681143i	$0.761483\pi$
$458$	−5.80342	−	10.0518i	−0.271176	−	0.469691i
$459$	0.382962	−	0.381827i	0.0178751	−	0.0178222i
$460$	1.00194	−	3.87955i	0.0467159	−	0.180885i
$461$	2.14901	−	8.02023i	0.100090	−	0.373539i	−0.897652	−	0.440704i	$-0.854729\pi$
$461$	2.14901	−	8.02023i	0.100090	−	0.373539i	0.997742	+	0.0671650i	$0.0213954\pi$
$462$	27.1870	−	22.7897i	1.26486	−	1.06027i
$463$	−8.79548	−	2.35674i	−0.408761	−	0.109527i	0.0485787	−	0.998819i	$-0.484531\pi$
$463$	−8.79548	−	2.35674i	−0.408761	−	0.109527i	−0.457339	+	0.889292i	$0.651198\pi$
$464$		−	48.4006i		−	2.24694i
$465$	−32.1262	−	22.0874i	−1.48982	−	1.02428i
$466$	−14.5782	−	14.5782i	−0.675324	−	0.675324i
$467$			7.84219i			0.362893i	0.983401	+	0.181447i	$0.0580779\pi$
$467$			7.84219i			0.362893i	−0.983401	+	0.181447i	$0.941922\pi$
$468$	8.56215	+	4.20940i	0.395786	+	0.194580i
$469$	3.37537			0.155860
$470$	−0.497125	+	1.92488i	−0.0229307	+	0.0887879i
$471$	10.6543	+	0.937442i	0.490926	+	0.0431951i
$472$	8.42830			0.387944
$473$	−22.0068	−	5.89671i	−1.01187	−	0.271131i
$474$	13.2809	−	36.4329i	0.610012	−	1.67342i
$475$	−7.60323	−	7.33260i	−0.348860	−	0.336443i
$476$	−0.291196	+	0.291196i	−0.0133470	+	0.0133470i
$477$	9.57523	+	26.3889i	0.438420	+	1.20826i
$478$	1.25301	+	2.17028i	0.0573115	+	0.0992664i
$479$	−19.4312	+	19.4312i	−0.887835	+	0.887835i	−0.994315	−	0.106480i	$-0.966042\pi$
$479$	−19.4312	+	19.4312i	−0.887835	+	0.887835i	0.106480	+	0.994315i	$0.466042\pi$
$480$	16.3224	−	7.78215i	0.745014	−	0.355205i
$481$	14.3550	+	26.0291i	0.654531	+	1.18683i
$482$	16.8390	+	29.1660i	0.766995	+	1.32847i
$483$	2.73331	+	15.5463i	0.124370	+	0.707380i
$484$	3.32275			0.151034
$485$	−0.195354	−	21.5647i	−0.00887056	−	0.979205i
$486$	−17.0608	+	20.2304i	−0.773892	+	0.917672i
$487$	9.62058	−	2.57783i	0.435950	−	0.116813i	−0.0341677	−	0.999416i	$-0.510878\pi$
$487$	9.62058	−	2.57783i	0.435950	−	0.116813i	0.470118	+	0.882604i	$0.344211\pi$
$488$	2.35542	−	8.79054i	0.106625	−	0.397929i
$489$	−5.28264	+	14.4916i	−0.238889	+	0.655334i
$490$	−42.9180	+	25.2998i	−1.93884	+	1.14293i
$491$	13.9574	−	24.1749i	0.629888	−	1.09100i	−0.357686	−	0.933842i	$-0.616434\pi$
$491$	13.9574	−	24.1749i	0.629888	−	1.09100i	0.987574	−	0.157156i	$-0.0502325\pi$
$492$	2.21148	−	6.06665i	0.0997010	−	0.273506i
$493$	0.505133	−	0.874916i	0.0227500	−	0.0394042i
$494$	3.10131	+	12.5538i	0.139535	+	0.564822i
$495$	−17.7918	−	2.98933i	−0.799681	−	0.134361i
$496$	48.4812	+	12.9905i	2.17687	+	0.583290i
$497$	10.7777			0.483444
$498$	4.72579	+	10.1476i	0.211768	+	0.454724i
$499$	26.6851	+	7.15024i	1.19459	+	0.320089i	0.800697	−	0.599069i	$-0.204462\pi$
$499$	26.6851	+	7.15024i	1.19459	+	0.320089i	0.393890	+	0.919158i	$0.371129\pi$
$500$	−7.16020	−	6.78124i	−0.320214	−	0.303266i
$501$	−26.5806	−	9.68942i	−1.18753	−	0.432891i
$502$	−1.68634	−	6.29349i	−0.0752649	−	0.280892i
$503$	3.19268	−	5.52988i	0.142354	−	0.246565i	−0.786028	−	0.618190i	$-0.787866\pi$
$503$	3.19268	−	5.52988i	0.142354	−	0.246565i	0.928383	+	0.371625i	$0.121199\pi$
$504$	−16.4372	+	19.5498i	−0.732171	+	0.870817i
$505$	13.9191	−	3.86508i	0.619391	−	0.171994i
$506$	4.63766	−	8.03266i	0.206169	−	0.357095i
$507$	13.6371	−	17.9173i	0.605643	−	0.795736i
$508$	9.03873	−	5.21851i	0.401029	−	0.231534i
$509$	−7.65849	+	2.05209i	−0.339457	+	0.0909571i	−0.424520	−	0.905418i	$-0.639557\pi$
$509$	−7.65849	+	2.05209i	−0.339457	+	0.0909571i	0.0850637	+	0.996376i	$0.472891\pi$
$510$	0.682175	+	0.0537998i	0.0302072	+	0.00238229i
$511$	−16.1249	+	9.30970i	−0.713322	+	0.411837i
$512$	−3.07849	+	3.07849i	−0.136051	+	0.136051i
$513$	−10.9773	−	0.0162817i	−0.484661	−	0.000718853i
$514$	41.2300	−	11.0475i	1.81858	−	0.487286i
$515$	−13.2915	−	13.0528i	−0.585693	−	0.575177i
$516$	−12.8926	−	1.13438i	−0.567563	−	0.0499381i
$517$	−0.704231	+	1.21976i	−0.0309721	+	0.0536452i
$518$	60.6463	−	16.2501i	2.66465	−	0.713990i
$519$	15.4329	+	1.35789i	0.677430	+	0.0596049i
$520$	−3.80413	−	14.8208i	−0.166822	−	0.649936i
$521$			22.2388i			0.974301i	0.873318	+	0.487150i	$0.161964\pi$
$521$			22.2388i			0.974301i	−0.873318	+	0.487150i	$0.838036\pi$
$522$	−20.9378	+	44.7856i	−0.916423	+	1.96021i
$523$	31.3653	−	18.1088i	1.37151	−	0.791842i	0.380393	−	0.924825i	$-0.375789\pi$
$523$	31.3653	−	18.1088i	1.37151	−	0.791842i	0.991118	+	0.132983i	$0.0424556\pi$
$524$	−4.98020	−	8.62596i	−0.217561	−	0.376827i
$525$	36.7353	+	12.6420i	1.60326	+	0.551742i
$526$	28.0140	−	28.0140i	1.22147	−	1.22147i
$527$	0.740797	+	0.740797i	0.0322696	+	0.0322696i
$528$	22.8754	−	4.02188i	0.995523	−	0.175030i
$529$	−9.43648	−	16.3445i	−0.410282	−	0.710629i
$530$	−17.4815	+	30.9224i	−0.759347	+	1.34318i
$531$	−12.0689	−	5.64234i	−0.523744	−	0.244857i
$532$	8.35933			0.362423
$533$	−13.0454	−	7.87674i	−0.565058	−	0.341179i
$534$	−15.0999	−	1.32860i	−0.653439	−	0.0574940i
$535$	4.06321	+	3.99025i	0.175668	+	0.172514i
$536$	1.23670	+	0.714010i	0.0534174	+	0.0308405i
$537$	0.953559	−	10.8375i	0.0411491	−	0.467673i
$538$	−48.1356	+	12.8979i	−2.07527	+	0.556068i
$539$	−34.0933	+	9.13528i	−1.46850	+	0.393484i
$540$	−10.2483	+	0.0776375i	−0.441017	+	0.00334099i
$541$	−4.15087	−	4.15087i	−0.178460	−	0.178460i	0.612224	−	0.790684i	$-0.290275\pi$
$541$	−4.15087	−	4.15087i	−0.178460	−	0.178460i	−0.790684	+	0.612224i	$0.790275\pi$
$542$	−10.6071	−	18.3720i	−0.455612	−	0.789143i
$543$	−17.4650	+	24.9164i	−0.749496	+	1.06927i
$544$	−0.469360	+	0.125765i	−0.0201236	+	0.00539212i
$545$	−20.3321	+	35.9647i	−0.870930	+	1.54056i
$546$	−29.8325	−	37.0402i	−1.27671	−	1.58517i
$547$	−0.172437	−	0.0995565i	−0.00737287	−	0.00425673i	0.496309	−	0.868146i	$-0.334688\pi$
$547$	−0.172437	−	0.0995565i	−0.00737287	−	0.00425673i	−0.503682	+	0.863889i	$0.668022\pi$
$548$	−5.65477	−	1.51519i	−0.241560	−	0.0647257i
$549$	−9.25767	+	11.0107i	−0.395108	+	0.469927i
$550$	−11.7706	−	19.5601i	−0.501900	−	0.834047i
$551$	−19.8084	+	5.30765i	−0.843868	+	0.226114i
$552$	−2.28713	+	6.27419i	−0.0973468	+	0.267047i
$553$	−41.8328	+	41.8328i	−1.77891	+	1.77891i
$554$	8.72347	+	2.33745i	0.370625	+	0.0993086i
$555$	−26.3113	−	18.0896i	−1.11685	−	0.767859i
$556$			3.66826i			0.155569i
$557$	8.76308	−	32.7042i	0.371303	−	1.38572i	−0.487368	−	0.873197i	$-0.662043\pi$
$557$	8.76308	−	32.7042i	0.371303	−	1.38572i	0.858671	−	0.512527i	$-0.171290\pi$
$558$	−39.2405	−	32.9929i	−1.66118	−	1.39670i
$559$	−8.48230	+	29.3426i	−0.358763	+	1.24106i
$560$	−50.0132	+	0.453067i	−2.11344	+	0.0191456i
$561$	0.455482	+	0.166037i	0.0192305	+	0.00701009i
$562$	12.9864	+	7.49773i	0.547800	+	0.316273i
$563$		−	14.8611i		−	0.626321i	−0.949700	−	0.313160i	$-0.898612\pi$
$563$		−	14.8611i		−	0.626321i	0.949700	−	0.313160i	$-0.101388\pi$
$564$	−0.274023	+	0.751716i	−0.0115385	+	0.0316529i
$565$	10.3711	−	2.87988i	0.436317	−	0.121158i
$566$	11.0931	+	41.3998i	0.466276	+	1.74017i
$567$	36.6248	−	16.9903i	1.53810	−	0.713527i
$568$	3.94882	+	2.27985i	0.165689	+	0.0956605i
$569$	−28.3998			−1.19058			−0.595290	−	0.803511i	$-0.702963\pi$
$569$	−28.3998			−1.19058			−0.595290	+	0.803511i	$0.702963\pi$
$570$	−9.01934	−	10.5638i	−0.377779	−	0.442467i
$571$	−14.2496	+	8.22702i	−0.596328	+	0.344290i	−0.767596	−	0.640934i	$-0.778547\pi$
$571$	−14.2496	+	8.22702i	−0.596328	+	0.344290i	0.171268	+	0.985225i	$0.445214\pi$
$572$	−0.167692	+	8.55154i	−0.00701156	+	0.357558i
$573$	−17.8239	−	1.56827i	−0.744602	−	0.0655152i
$574$	−22.7602	+	22.7602i	−0.949993	+	0.949993i
$575$	10.1559	−	0.184018i	0.423530	−	0.00767410i
$576$	−5.76966	+	2.09353i	−0.240402	+	0.0872302i
$577$	5.93785	+	5.93785i	0.247196	+	0.247196i	0.819819	−	0.572623i	$-0.194074\pi$
$577$	5.93785	+	5.93785i	0.247196	+	0.247196i	−0.572623	+	0.819819i	$0.694074\pi$
$578$	27.8591	+	7.46483i	1.15879	+	0.310496i
$579$	13.6575	−	37.4660i	0.567586	−	1.55704i
$580$	−18.4478	+	5.12262i	−0.766002	+	0.212705i
$581$		−	17.0778i		−	0.708507i
$582$	2.48561	−	28.2498i	0.103032	−	1.17099i
$583$	−17.7951	+	17.7951i	−0.736999	+	0.736999i
$584$	−7.87731			−0.325966
$585$	−4.47451	+	23.7693i	−0.184998	+	0.982739i
$586$	−26.0878			−1.07768
$587$	7.23317	−	7.23317i	0.298545	−	0.298545i	−0.541899	−	0.840444i	$-0.682294\pi$
$587$	7.23317	−	7.23317i	0.298545	−	0.298545i	0.840444	+	0.541899i	$0.182294\pi$
$588$	−18.1762	+	8.46474i	−0.749572	+	0.349080i
$589$		−	21.2659i		−	0.876248i
$590$	−4.51050	−	16.2434i	−0.185694	−	0.668730i
$591$	18.4336	+	21.9904i	0.758258	+	0.904564i
$592$	39.7060	+	10.6392i	1.63190	+	0.437268i
$593$	20.4637	+	20.4637i	0.840345	+	0.840345i	0.988904	−	0.148559i	$-0.0474635\pi$
$593$	20.4637	+	20.4637i	0.840345	+	0.840345i	−0.148559	+	0.988904i	$0.547463\pi$
$594$	−22.9067	−	6.17425i	−0.939872	−	0.253333i
$595$	−0.908795	−	0.513773i	−0.0372570	−	0.0210627i
$596$	−4.52949	+	4.52949i	−0.185535	+	0.185535i
$597$	−11.5801	−	24.8657i	−0.473942	−	1.01769i
$598$	−10.6450	−	6.42739i	−0.435305	−	0.262835i
$599$	−29.4748	+	17.0173i	−1.20431	+	0.695308i	−0.961510	−	0.274769i	$-0.911399\pi$
$599$	−29.4748	+	17.0173i	−1.20431	+	0.695308i	−0.242798	+	0.970077i	$0.578065\pi$
$600$	10.7852	+	12.4027i	0.440304	+	0.506338i
$601$	−6.43952			−0.262673			−0.131337	−	0.991338i	$-0.541927\pi$
$601$	−6.43952			−0.262673			−0.131337	+	0.991338i	$0.541927\pi$
$602$	55.8721	+	32.2578i	2.27718	+	1.31473i
$603$	−1.29289	−	1.85033i	−0.0526507	−	0.0753515i
$604$	−2.53233	−	9.45078i	−0.103039	−	0.384547i
$605$	2.25374	+	8.11625i	0.0916275	+	0.329973i
$606$	18.7092	−	3.28941i	0.760011	−	0.133623i
$607$			4.26387i			0.173065i	0.996249	+	0.0865325i	$0.0275786\pi$
$607$			4.26387i			0.173065i	−0.996249	+	0.0865325i	$0.972421\pi$
$608$	8.54208	+	4.93177i	0.346427	+	0.200010i
$609$	57.8020	−	48.4530i	2.34226	−	1.96341i
$610$	−18.2021	+	0.164891i	−0.736980	+	0.00667626i
$611$	1.61645	+	0.976003i	0.0653944	+	0.0394849i
$612$	0.271169	+	0.0480909i	0.0109614	+	0.00194396i
$613$	−1.17561	+	4.38745i	−0.0474826	+	0.177208i	−0.985595	−	0.169124i	$-0.945906\pi$
$613$	−1.17561	+	4.38745i	−0.0474826	+	0.177208i	0.938112	+	0.346332i	$0.112573\pi$
$614$		−	4.02922i		−	0.162606i
$615$	16.3186	+	1.28696i	0.658028	+	0.0518954i
$616$	−22.1172	−	5.92628i	−0.891126	−	0.238777i
$617$	−12.0620	+	12.0620i	−0.485599	+	0.485599i	−0.906914	−	0.421315i	$-0.861569\pi$
$617$	−12.0620	+	12.0620i	−0.485599	+	0.485599i	0.421315	+	0.906914i	$0.361569\pi$
$618$	−15.7372	−	18.7738i	−0.633045	−	0.755191i
$619$	−15.4638	+	4.14351i	−0.621542	+	0.166542i	−0.555829	−	0.831297i	$-0.687599\pi$
$619$	−15.4638	+	4.14351i	−0.621542	+	0.166542i	−0.0657135	+	0.997839i	$0.520932\pi$
$620$	−0.179851	−	19.8534i	−0.00722297	−	0.797330i
$621$	7.47531	−	7.45317i	0.299974	−	0.299085i
$622$	−8.37678	−	2.24455i	−0.335878	−	0.0899983i
$623$	20.0275	+	11.5629i	0.802384	+	0.463257i
$624$	−4.78961	−	30.7676i	−0.191738	−	1.23169i
$625$	11.7075	−	22.0893i	0.468298	−	0.883570i
$626$	32.4373	−	8.69154i	1.29645	−	0.347384i
$627$	−4.15453	−	8.92093i	−0.165916	−	0.356268i
$628$	2.72338	+	4.71704i	0.108675	+	0.188230i
$629$	0.606711	+	0.606711i	0.0241912	+	0.0241912i
$630$	46.4738	+	21.2162i	1.85156	+	0.845274i
$631$	−6.22012	+	1.66668i	−0.247619	+	0.0663493i	−0.380494	−	0.924784i	$-0.624246\pi$
$631$	−6.22012	+	1.66668i	−0.247619	+	0.0663493i	0.132875	+	0.991133i	$0.457579\pi$
$632$	−24.1762	+	6.47800i	−0.961678	+	0.257681i
$633$	2.29807	−	1.07022i	0.0913400	−	0.0425376i
$634$	12.8024	+	7.39148i	0.508449	+	0.293553i
$635$	18.8776	+	18.5387i	0.749136	+	0.735685i
$636$	−8.20568	+	11.7066i	−0.325376	+	0.464197i
$637$	11.3487	+	45.9384i	0.449651	+	1.82014i
$638$	−44.3200			−1.75465
$639$	−4.12824	−	5.90817i	−0.163311	−	0.233723i
$640$	−24.9374	−	14.0980i	−0.985736	−	0.557271i
$641$	10.5762	+	18.3185i	0.417735	+	0.723538i	0.995711	−	0.0925154i	$-0.0294907\pi$
$641$	10.5762	+	18.3185i	0.417735	+	0.723538i	−0.577976	+	0.816054i	$0.696157\pi$
$642$	4.81087	+	5.73913i	0.189870	+	0.226505i
$643$	−26.2311	−	26.2311i	−1.03445	−	1.03445i	−0.999385	−	0.0350671i	$-0.988836\pi$
$643$	−26.2311	−	26.2311i	−1.03445	−	1.03445i	−0.0350671	−	0.999385i	$-0.511164\pi$
$644$	−5.68407	+	5.68407i	−0.223984	+	0.223984i
$645$	−5.97384	−	32.2612i	−0.235220	−	1.27028i
$646$	0.186630	+	0.323253i	0.00734287	+	0.0127182i
$647$	6.82805	−	3.94218i	0.268438	−	0.154983i	−0.359739	−	0.933053i	$-0.617134\pi$
$647$	6.82805	−	3.94218i	0.268438	−	0.154983i	0.628178	+	0.778070i	$0.283801\pi$
$648$	17.0130	+	1.52235i	0.668334	+	0.0598037i
$649$		−	11.9434i		−	0.468819i
$650$	−26.5275	+	15.2630i	−1.04050	+	0.598665i
$651$	33.0198	+	70.9027i	1.29415	+	2.77890i
$652$	−7.58736	+	2.03303i	−0.297144	+	0.0796195i
$653$	19.0361	−	32.9715i	0.744941	−	1.29027i	−0.205282	−	0.978703i	$-0.565811\pi$
$653$	19.0361	−	32.9715i	0.744941	−	1.29027i	0.950223	−	0.311572i	$-0.100856\pi$
$654$	−31.1833	+	44.4876i	−1.21936	+	1.73960i
$655$	17.6921	−	18.0155i	0.691287	−	0.703926i
$656$	−20.3557	+	5.45430i	−0.794757	+	0.212955i
$657$	11.2799	+	5.27348i	0.440070	+	0.205738i
$658$	2.82021	−	2.82021i	0.109943	−	0.109943i
$659$	13.8881	−	8.01832i	0.541005	−	0.312350i	−0.204481	−	0.978871i	$-0.565551\pi$
$659$	13.8881	−	8.01832i	0.541005	−	0.312350i	0.745486	+	0.666521i	$0.232217\pi$
$660$	−3.95401	−	8.29323i	−0.153910	−	0.322813i
$661$	24.5015	−	6.56515i	0.952997	−	0.255355i	0.251364	−	0.967893i	$-0.419121\pi$
$661$	24.5015	−	6.56515i	0.952997	−	0.255355i	0.701634	+	0.712538i	$0.252454\pi$
$662$	−36.4581	+	21.0491i	−1.41698	+	0.818097i
$663$	0.234526	−	0.606158i	0.00910823	−	0.0235412i
$664$	3.61256	−	6.25713i	0.140194	−	0.242824i
$665$	5.66992	+	20.4187i	0.219870	+	0.791805i
$666$	−32.1379	−	27.0211i	−1.24532	−	1.04705i
$667$	9.86006	−	17.0781i	0.381783	−	0.661268i
$668$	−3.72898	−	13.9168i	−0.144279	−	0.538455i
$669$	−2.61773	−	14.8889i	−0.101207	−	0.575640i
$670$	0.714237	−	2.76554i	0.0275934	−	0.106842i
$671$	−12.4567	−	3.33777i	−0.480886	−	0.128853i
$672$	−36.1377	−	3.17965i	−1.39404	−	0.122658i
$673$	21.8177			0.841010			0.420505	−	0.907290i	$-0.361853\pi$
$673$	21.8177			0.841010			0.420505	+	0.907290i	$0.361853\pi$
$674$	−55.3291	−	14.8254i	−2.13120	−	0.571053i
$675$	−7.14081	−	24.9802i	−0.274850	−	0.961487i
$676$	11.4580	+	0.449544i	0.440691	+	0.0172902i
$677$	0.748994	−	1.29730i	0.0287862	−	0.0498591i	−0.851273	−	0.524722i	$-0.824169\pi$
$677$	0.748994	−	1.29730i	0.0287862	−	0.0498591i	0.880060	+	0.474863i	$0.157502\pi$
$678$	13.9403	−	2.45095i	0.535375	−	0.0941281i
$679$	−21.6324	+	37.4684i	−0.830175	+	1.43791i
$680$	−0.224292	−	0.380483i	−0.00860121	−	0.0145909i
$681$	30.5627	+	36.4598i	1.17116	+	1.39714i
$682$	11.8953	−	44.3938i	0.455494	−	1.69993i
$683$	−26.5337	+	7.10968i	−1.01528	+	0.272045i	−0.727836	−	0.685752i	$-0.759474\pi$
$683$	−26.5337	+	7.10968i	−1.01528	+	0.272045i	−0.287448	+	0.957796i	$0.592807\pi$
$684$	−3.20193	−	4.58247i	−0.122429	−	0.175215i
$685$	−0.134437	−	14.8402i	−0.00513656	−	0.567015i
$686$	46.6388			1.78068
$687$	9.07523	−	7.60738i	0.346241	−	0.290239i
$688$	21.1196	+	36.5802i	0.805176	+	1.39461i
$689$	23.3846	+	24.3201i	0.890883	+	0.926521i
$690$	13.3159	+	1.05016i	0.506927	+	0.0399788i
$691$	−1.49539	+	1.49539i	−0.0568873	+	0.0568873i	−0.734978	−	0.678091i	$-0.762808\pi$
$691$	−1.49539	+	1.49539i	−0.0568873	+	0.0568873i	0.678091	+	0.734978i	$0.262808\pi$
$692$	3.94484	+	6.83267i	0.149960	+	0.259739i
$693$	27.7032	+	23.2925i	1.05236	+	0.884808i
$694$	−38.2335	+	38.2335i	−1.45132	+	1.45132i
$695$	−8.96020	+	2.48809i	−0.339880	+	0.0943785i
$696$	31.4275	−	5.52551i	1.19126	−	0.209444i
$697$	−0.424885	−	0.113848i	−0.0160937	−	0.00431228i
$698$	13.4272			0.508227
$699$	12.0733	−	17.2244i	0.456656	−	0.651486i
$700$	5.46598	+	19.0145i	0.206595	+	0.718680i
$701$	24.5502			0.927250			0.463625	−	0.886032i	$-0.346549\pi$
$701$	24.5502			0.927250			0.463625	+	0.886032i	$0.346549\pi$
$702$	−8.87798	+	30.5415i	−0.335078	+	1.15272i
$703$		−	17.4168i		−	0.656886i
$704$	−3.89072	−	3.89072i	−0.146637	−	0.146637i
$705$	−2.02202	−	0.159467i	−0.0761539	−	0.00600588i
$706$		−	15.5275i		−	0.584386i
$707$	−27.9934	−	7.50082i	−1.05280	−	0.282097i
$708$	−1.17484	−	6.68217i	−0.0441532	−	0.251131i
$709$	8.39708	−	31.3383i	0.315359	−	1.17694i	−0.608296	−	0.793710i	$-0.708147\pi$
$709$	8.39708	−	31.3383i	0.315359	−	1.17694i	0.923655	−	0.383225i	$-0.125187\pi$
$710$	2.28058	−	8.83043i	0.0855885	−	0.331400i
$711$	38.9557	+	6.90867i	1.46095	+	0.259095i
$712$	4.89191	+	8.47303i	0.183332	+	0.317540i
$713$	14.4602	+	14.4602i	0.541537	+	0.541537i
$714$	−1.12416	−	0.787975i	−0.0420707	−	0.0294892i
$715$	−21.0020	+	5.39068i	−0.785429	+	0.201600i
$716$	4.79813	−	2.77020i	0.179315	−	0.103527i
$717$	−1.95943	+	1.64250i	−0.0731761	+	0.0613404i
$718$		−	2.21954i		−	0.0828326i
$719$	14.4713	−	25.0651i	0.539690	−	0.934770i	−0.459231	−	0.888317i	$-0.651875\pi$
$719$	14.4713	−	25.0651i	0.539690	−	0.934770i	0.998920	−	0.0464532i	$-0.0147918\pi$
$720$	19.4053	+	27.2430i	0.723193	+	1.01529i
$721$	9.67295	+	36.0999i	0.360239	+	1.34443i
$722$	−6.38736	+	23.8379i	−0.237713	+	0.887156i
$723$	−26.3323	+	22.0733i	−0.979310	+	0.820914i
$724$	−15.4956			−0.575890
$725$	−25.0253	−	41.5865i	−0.929417	−	1.54449i
$726$	1.91806	+	10.9094i	0.0711860	+	0.404886i
$727$	−17.0414	+	29.5166i	−0.632032	+	1.09471i	0.355104	+	0.934827i	$0.384446\pi$
$727$	−17.0414	+	29.5166i	−0.632032	+	1.09471i	−0.987136	+	0.159885i	$0.948888\pi$
$728$	−8.52484	+	29.4898i	−0.315952	+	1.09296i
$729$	−23.3425	−	13.5693i	−0.864538	−	0.502567i
$730$	4.21563	+	15.1815i	0.156028	+	0.561893i
$731$			0.881658i			0.0326093i
$732$	−7.29770	−	0.642102i	−0.269731	−	0.0237328i
$733$	5.29125	−	19.7472i	0.195437	−	0.729381i	−0.796716	−	0.604353i	$-0.793432\pi$
$733$	5.29125	−	19.7472i	0.195437	−	0.729381i	0.992153	−	0.125027i	$-0.0399018\pi$
$734$	−6.73445	−	6.73445i	−0.248573	−	0.248573i
$735$	−33.0046	−	38.6562i	−1.21739	−	1.42585i
$736$	−9.16179	+	2.45489i	−0.337708	+	0.0904886i
$737$	1.01179	−	1.75248i	0.0372699	−	0.0645534i
$738$	21.1949	+	3.75884i	0.780194	+	0.138365i
$739$	−7.83670	+	29.2469i	−0.288278	+	1.07587i	0.658133	+	0.752901i	$0.271346\pi$
$739$	−7.83670	+	29.2469i	−0.288278	+	1.07587i	−0.946411	+	0.322965i	$0.895320\pi$
$740$	−0.147297	−	16.2599i	−0.00541475	−	0.597725i
$741$	−12.0667	+	5.33420i	−0.443281	+	0.195957i
$742$	61.7160	−	35.6317i	2.26567	−	1.30808i
$743$	−0.551032	−	2.05648i	−0.0202154	−	0.0754449i	0.955081	−	0.296344i	$-0.0957675\pi$
$743$	−0.551032	−	2.05648i	−0.0202154	−	0.0754449i	−0.975297	+	0.220899i	$0.929101\pi$
$744$	−2.90030	+	32.9629i	−0.106330	+	1.20848i
$745$	−14.1361	−	7.99163i	−0.517907	−	0.292791i
$746$	−4.64212	−	4.64212i	−0.169960	−	0.169960i
$747$	−9.36183	+	6.54144i	−0.342531	+	0.239339i
$748$	0.0638995	+	0.238476i	0.00233640	+	0.00871955i
$749$	−2.95702	−	11.0357i	−0.108047	−	0.403237i
$750$	18.1312	−	27.4232i	0.662059	−	1.00135i
$751$	−1.26159	−	0.728377i	−0.0460360	−	0.0265789i	0.476805	−	0.879009i	$-0.341795\pi$
$751$	−1.26159	−	0.728377i	−0.0460360	−	0.0265789i	−0.522841	+	0.852430i	$0.675128\pi$
$752$	2.52227	−	0.675840i	0.0919776	−	0.0246453i
$753$	6.02605	−	2.80637i	0.219602	−	0.102270i
$754$	−1.16493	+	59.4060i	−0.0424241	+	2.16344i
$755$	21.3671	−	12.5958i	0.777630	−	0.458407i
$756$	17.7908	+	10.3067i	0.647045	+	0.374852i
$757$	−40.7161	+	23.5074i	−1.47985	+	0.854392i	−0.999740	−	0.0228159i	$-0.992737\pi$
$757$	−40.7161	+	23.5074i	−1.47985	+	0.854392i	−0.480111	+	0.877208i	$0.659404\pi$
$758$	36.1294	−	20.8593i	1.31228	−	0.757646i
$759$	8.89089	+	3.24100i	0.322719	+	0.117641i
$760$	−2.24188	+	8.68060i	−0.0813216	+	0.314878i
$761$	−1.69863	+	1.69863i	−0.0615754	+	0.0615754i	−0.737224	−	0.675649i	$-0.763864\pi$
$761$	−1.69863	+	1.69863i	−0.0615754	+	0.0615754i	0.675649	+	0.737224i	$0.263864\pi$
$762$	22.3513	+	26.6640i	0.809702	+	0.965934i
$763$	71.7796	−	41.4420i	2.59859	−	1.50030i
$764$	−4.55600	−	7.89122i	−0.164830	−	0.285494i
$765$	0.0664587	+	0.694984i	0.00240282	+	0.0251272i
$766$			37.4052i			1.35150i
$767$	−16.0088	−	0.313925i	−0.578043	−	0.0113352i
$768$	−25.0435	−	17.5541i	−0.903680	−	0.633430i
$769$	−2.70601	−	10.0990i	−0.0975812	−	0.364178i	0.899817	−	0.436268i	$-0.143700\pi$
$769$	−2.70601	−	10.0990i	−0.0975812	−	0.364178i	−0.997398	+	0.0720897i	$0.977033\pi$
$770$	0.414870	+	45.7967i	0.0149509	+	1.65040i
$771$	18.3851	+	39.4779i	0.662124	+	1.42176i
$772$	19.6160	−	5.25610i	0.705997	−	0.189171i
$773$	1.01194	+	3.77661i	0.0363970	+	0.135835i	0.981734	−	0.190261i	$-0.0609334\pi$
$773$	1.01194	+	3.77661i	0.0363970	+	0.135835i	−0.945337	+	0.326096i	$0.894267\pi$
$774$	−3.71781	−	42.9843i	−0.133634	−	1.54504i
$775$	48.3724	−	13.9053i	1.73759	−	0.499495i
$776$	−15.8518	+	9.15203i	−0.569046	+	0.328539i
$777$	27.0432	+	58.0692i	0.970168	+	2.08322i
$778$	−9.79475	−	36.5545i	−0.351159	−	1.31054i
$779$	4.46445	+	7.73266i	0.159956	+	0.277051i
$780$	−11.2201	+	5.08193i	−0.401743	+	0.181962i
$781$	3.23069	−	5.59571i	0.115603	−	0.200230i
$782$	−0.346705	−	0.0928992i	−0.0123981	−	0.00332207i
$783$	−48.7016	−	13.1270i	−1.74045	−	0.469121i
$784$	56.6707	+	32.7188i	2.02395	+	1.16853i
$785$	−9.67477	+	9.85166i	−0.345307	+	0.351621i
$786$	25.4463	−	21.3306i	0.907640	−	0.760836i
$787$	17.6976	−	17.6976i	0.630850	−	0.630850i	−0.317431	−	0.948281i	$-0.602820\pi$
$787$	17.6976	−	17.6976i	0.630850	−	0.630850i	0.948281	+	0.317431i	$0.102820\pi$
$788$	−3.78210	+	14.1150i	−0.134732	+	0.502825i
$789$	33.0989	+	23.2005i	1.17835	+	0.825960i
$790$	25.4229	+	43.1267i	0.904505	+	1.53438i
$791$	−20.8580	−	5.58888i	−0.741625	−	0.198718i
$792$	5.22299	+	14.3943i	0.185591	+	0.511480i
$793$	−4.80132	+	16.6091i	−0.170500	+	0.589806i
$794$	17.3859	+	10.0378i	0.617003	+	0.356227i
$795$	−34.1606	−	12.1031i	−1.21155	−	0.429254i
$796$	6.98446	−	12.0974i	0.247557	−	0.428782i
$797$		−	29.4169i		−	1.04200i	−0.853556	−	0.521001i	$-0.825559\pi$
$797$		−	29.4169i		−	1.04200i	0.853556	−	0.521001i	$-0.174441\pi$
$798$	4.82543	+	27.4457i	0.170818	+	0.971568i
$799$	0.0526473	+	0.0141068i	0.00186253	+	0.000499063i
$800$	−5.63254	+	22.6550i	−0.199140	+	0.800974i
$801$	−1.33266	−	15.4078i	−0.0470872	−	0.544408i
$802$	16.1411	+	9.31905i	0.569961	+	0.329067i
$803$			11.1626i			0.393920i
$804$	0.393699	−	1.08002i	0.0138847	−	0.0380892i
$805$	−17.7394	−	10.0287i	−0.625233	−	0.353466i
$806$	−59.1922	−	17.1111i	−2.08496	−	0.602714i
$807$	−21.4644	−	46.0901i	−0.755583	−	1.62245i
$808$	−8.66982	−	8.66982i	−0.305003	−	0.305003i
$809$	46.0747	−	26.6013i	1.61990	−	0.935250i	0.632957	−	0.774187i	$-0.281841\pi$
$809$	46.0747	−	26.6013i	1.61990	−	0.935250i	0.986944	−	0.161064i	$-0.0514924\pi$
$810$	−6.17075	−	33.6029i	−0.216818	−	1.18069i
$811$	25.7558	−	25.7558i	0.904408	−	0.904408i	−0.0914055	−	0.995814i	$-0.529136\pi$
$811$	25.7558	−	25.7558i	0.904408	−	0.904408i	0.995814	+	0.0914055i	$0.0291359\pi$
$812$	37.1014	+	9.94128i	1.30200	+	0.348871i
$813$	16.5870	−	13.9042i	0.581732	−	0.487641i
$814$	9.74221	−	36.3584i	0.341464	−	1.27436i
$815$	−10.1122	−	17.1542i	−0.354217	−	0.600884i
$816$	−0.379449	−	0.814782i	−0.0132834	−	0.0285231i
$817$	12.6548	−	12.6548i	0.442736	−	0.442736i
$818$		−	16.5081i		−	0.577193i
$819$	31.9491	−	36.5208i	1.11639	−	1.27614i
$820$	4.23330	+	7.18126i	0.147833	+	0.250781i
$821$	5.79856	+	5.79856i	0.202371	+	0.202371i	0.801015	−	0.598644i	$-0.204294\pi$
$821$	5.79856	+	5.79856i	0.202371	+	0.202371i	−0.598644	+	0.801015i	$0.704294\pi$
$822$	1.71052	−	19.4406i	0.0596613	−	0.678070i
$823$	6.45042			0.224848			0.112424	−	0.993660i	$-0.464139\pi$
$823$	6.45042			0.224848			0.112424	+	0.993660i	$0.464139\pi$
$824$	−4.09234	+	15.2728i	−0.142563	+	0.532053i
$825$	17.5754	−	15.2833i	0.611896	−	0.532095i
$826$	−8.75336	+	32.6680i	−0.304569	+	1.13667i
$827$	22.0279	+	22.0279i	0.765985	+	0.765985i	0.977397	−	0.211412i	$-0.0678061\pi$
$827$	22.0279	+	22.0279i	0.765985	+	0.765985i	−0.211412	+	0.977397i	$0.567806\pi$
$828$	5.29315	+	0.938722i	0.183950	+	0.0326228i
$829$	−15.2672	+	8.81451i	−0.530251	+	0.306141i	−0.741119	−	0.671374i	$-0.765704\pi$
$829$	−15.2672	+	8.81451i	−0.530251	+	0.306141i	0.210868	+	0.977515i	$0.432371\pi$
$830$	−13.9923	−	3.61370i	−0.485681	−	0.125434i
$831$	−0.807603	+	9.17867i	−0.0280154	+	0.318405i
$832$	−5.31733	+	5.11280i	−0.184345	+	0.177255i
$833$	0.682940	+	1.18289i	0.0236625	+	0.0409846i
$834$	−12.0438	+	2.11751i	−0.417043	+	0.0733233i
$835$	31.4642	−	18.5479i	1.08886	−	0.641877i
$836$	2.50577	−	4.34013i	0.0866640	−	0.150106i
$837$	26.2201	−	45.2594i	0.906300	−	1.56439i
$838$	−56.6419	+	15.1771i	−1.95666	+	0.524286i
$839$	5.75305	+	1.54153i	0.198617	+	0.0532194i	0.356756	−	0.934198i	$-0.383883\pi$
$839$	5.75305	+	1.54153i	0.198617	+	0.0532194i	−0.158139	+	0.987417i	$0.550549\pi$
$840$	−6.00379	−	32.4229i	−0.207151	−	1.11870i
$841$	−65.2282			−2.24925
$842$	−40.2630	−	23.2458i	−1.38755	−	0.801105i
$843$	−5.23974	+	14.3740i	−0.180466	+	0.495066i
$844$	1.11803	+	0.645497i	0.0384843	+	0.0222189i
$845$	6.67357	+	28.2925i	0.229578	+	0.973290i
$846$	−2.62625	−	0.465756i	−0.0902922	−	0.0160130i
$847$	4.37375	−	16.3231i	0.150284	−	0.560867i
$848$	46.6571			1.60221
$849$	−39.6406	+	18.4608i	−1.36046	+	0.633574i
$850$	−0.613252	+	0.635886i	−0.0210344	+	0.0218107i
$851$	11.8428	+	11.8428i	0.405967	+	0.405967i
$852$	1.25709	−	3.44852i	0.0430672	−	0.118144i
$853$	−6.03284	−	22.5149i	−0.206561	−	0.770895i	−0.988968	−	0.148128i	$-0.952675\pi$
$853$	−6.03284	−	22.5149i	−0.206561	−	0.770895i	0.782408	−	0.622767i	$-0.213991\pi$
$854$	31.6258	+	18.2592i	1.08221	+	0.624816i
$855$	9.02149	−	10.9293i	0.308528	−	0.373775i
$856$	1.25103	−	4.66889i	0.0427592	−	0.159579i
$857$	−0.969835	−	0.559935i	−0.0331289	−	0.0191270i	0.483344	−	0.875430i	$-0.339422\pi$
$857$	−0.969835	−	0.559935i	−0.0331289	−	0.0191270i	−0.516473	+	0.856303i	$0.672755\pi$
$858$	−28.1736	+	4.38581i	−0.961831	+	0.149729i
$859$	−17.4139	−	30.1618i	−0.594155	−	1.02911i	−0.993666	−	0.112378i	$-0.964153\pi$
$859$	−17.4139	−	30.1618i	−0.594155	−	1.02911i	0.399511	−	0.916728i	$-0.369180\pi$
$860$	11.7072	−	11.9213i	0.399212	−	0.406511i
$861$	−26.8915	−	18.8494i	−0.916459	−	0.642387i
$862$	−10.1220	−	17.5318i	−0.344756	−	0.597134i
$863$	−20.4706	+	20.4706i	−0.696827	+	0.696827i	−0.963725	−	0.266898i	$-0.914001\pi$
$863$	−20.4706	+	20.4706i	−0.696827	+	0.696827i	0.266898	+	0.963725i	$0.414001\pi$
$864$	12.0991	+	21.0281i	0.411618	+	0.715392i
$865$	−14.0140	+	14.2702i	−0.476490	+	0.485202i
$866$	−4.83594	−	18.0480i	−0.164332	−	0.613295i
$867$	−2.57915	+	29.3129i	−0.0875924	+	0.995517i
$868$	−19.9157	+	34.4949i	−0.675981	+	1.17083i
$869$	9.17970	+	34.2591i	0.311400	+	1.16216i
$870$	−27.4678	−	57.6115i	−0.931246	−	1.95321i
$871$	−2.32241	−	1.40226i	−0.0786917	−	0.0475137i
$872$	35.0657			1.18747
$873$	28.8257	−	2.49320i	0.975602	−	0.0843822i
$874$	3.64298	+	6.30982i	0.123226	+	0.213433i
$875$	−42.7379	+	26.2484i	−1.44480	+	0.887358i
$876$	1.09804	+	6.24534i	0.0370993	+	0.211010i
$877$	−18.9430	−	18.9430i	−0.639659	−	0.639659i	0.310812	−	0.950471i	$-0.399399\pi$
$877$	−18.9430	−	18.9430i	−0.639659	−	0.639659i	−0.950471	+	0.310812i	$0.899399\pi$
$878$	19.3554	+	19.3554i	0.653212	+	0.653212i
$879$	−4.60890	−	26.2141i	−0.155454	−	0.884181i
$880$	−14.7566	+	26.1025i	−0.497446	+	0.879914i
$881$	18.8676	+	32.6796i	0.635665	+	1.10100i	0.986374	+	0.164520i	$0.0526074\pi$
$881$	18.8676	+	32.6796i	0.635665	+	1.10100i	−0.350709	+	0.936485i	$0.614059\pi$
$882$	−38.2840	−	54.7905i	−1.28909	−	1.84489i
$883$	−38.0196			−1.27946			−0.639730	−	0.768600i	$-0.720954\pi$
$883$	−38.0196			−1.27946			−0.639730	+	0.768600i	$0.720954\pi$
$884$	0.321330	−	0.0793818i	0.0108075	−	0.00266990i
$885$	15.5252	−	7.40205i	0.521874	−	0.248817i
$886$	0.959872	+	3.58229i	0.0322475	+	0.120349i
$887$	−16.7407	+	28.9958i	−0.562098	+	0.973583i	0.435215	+	0.900327i	$0.356672\pi$
$887$	−16.7407	+	28.9958i	−0.562098	+	0.973583i	−0.997313	+	0.0732564i	$0.976661\pi$
$888$	−2.37534	+	26.9965i	−0.0797112	+	0.905944i
$889$	−13.7383	−	51.2720i	−0.460768	−	1.71961i
$890$	13.7116	−	13.9623i	0.459615	−	0.468019i
$891$	2.15726	−	24.1084i	0.0722711	−	0.807663i
$892$	5.44373	−	5.44373i	0.182270	−	0.182270i
$893$	−0.553188	−	0.958150i	−0.0185117	−	0.0320633i
$894$	−17.4861	−	12.2568i	−0.584822	−	0.409928i
$895$	10.0210	+	9.84110i	0.334966	+	0.328952i
$896$	28.7352	+	49.7709i	0.959977	+	1.66273i
$897$	4.57788	−	11.8320i	0.152851	−	0.395061i
$898$	−38.2903	−	22.1069i	−1.27776	−	0.737718i
$899$	25.2904	−	94.3851i	0.843482	−	3.14792i
$900$	8.32981	−	10.2796i	0.277660	−	0.342654i
$901$	0.843400	+	0.486937i	0.0280977	+	0.0162222i
$902$	4.99446	+	18.6396i	0.166297	+	0.620630i
$903$	−22.5431	+	61.8416i	−0.750189	+	2.05796i
$904$	−6.45991	−	6.45991i	−0.214853	−	0.214853i
$905$	−10.5103	−	37.8500i	−0.349373	−	1.25818i
$906$	29.5674	−	13.7697i	0.982313	−	0.457469i
$907$	5.41061			0.179656			0.0898282	−	0.995957i	$-0.471368\pi$
$907$	5.41061			0.179656			0.0898282	+	0.995957i	$0.471368\pi$
$908$	−6.27066	+	23.4024i	−0.208099	+	0.776637i
$909$	6.61068	+	18.2187i	0.219262	+	0.604277i
$910$	61.3962	+	0.647654i	2.03526	+	0.0214695i
$911$	−26.4633	−	15.2786i	−0.876768	−	0.506202i	−0.00717662	−	0.999974i	$-0.502284\pi$
$911$	−26.4633	−	15.2786i	−0.876768	−	0.506202i	−0.869591	+	0.493772i	$0.835618\pi$
$912$	−6.24853	+	17.1413i	−0.206909	+	0.567606i
$913$	−8.86672	−	5.11921i	−0.293446	−	0.169421i
$914$	2.61790			0.0865924
$915$	−3.38143	−	18.2611i	−0.111786	−	0.603693i
$916$	5.82512	+	1.56084i	0.192467	+	0.0515714i
$917$	−48.9306	+	13.1109i	−1.61583	+	0.432960i
$918$	−0.00136169	+	0.918075i	−4.49426e−5	+	0.0303010i
$919$	1.08227	−	1.87455i	0.0357008	−	0.0618356i	−0.847623	−	0.530599i	$-0.821967\pi$
$919$	1.08227	−	1.87455i	0.0357008	−	0.0618356i	0.883324	+	0.468763i	$0.155300\pi$
$920$	−4.37812	−	7.42694i	−0.144342	−	0.244859i
$921$	4.04874	−	0.711838i	0.133410	−	0.0234558i
$922$	7.04798	+	12.2075i	0.232113	+	0.402031i
$923$	−7.41550	−	4.47745i	−0.244084	−	0.147377i
$924$	−1.61554	+	18.3611i	−0.0531473	+	0.604037i
$925$	39.6169	−	11.3884i	1.30260	−	0.374450i
$926$	13.3875	−	7.72925i	0.439939	−	0.253999i
$927$	16.0844	−	19.1302i	0.528281	−	0.628318i
$928$	32.0474	+	32.0474i	1.05201	+	1.05201i
$929$	−6.52197	+	24.3403i	−0.213979	+	0.798580i	0.772545	+	0.634960i	$0.218984\pi$
$929$	−6.52197	+	24.3403i	−0.213979	+	0.798580i	−0.986524	+	0.163619i	$0.947683\pi$
$930$	65.0797	−	12.0509i	2.13405	−	0.395164i
$931$	7.17595	−	26.7810i	0.235182	−	0.877712i
$932$	10.7119			0.350880
$933$	0.775507	−	8.81389i	0.0253889	−	0.288554i
$934$	−9.41399	−	9.41399i	−0.308035	−	0.308035i
$935$	−0.539167	+	0.317835i	−0.0176327	+	0.0103943i
$936$	19.4312	−	6.62248i	0.635130	−	0.216463i
$937$			49.3869i			1.61340i	0.590961	+	0.806700i	$0.298749\pi$
$937$			49.3869i			1.61340i	−0.590961	+	0.806700i	$0.701251\pi$
$938$	−4.05190	+	4.05190i	−0.132299	+	0.132299i
$939$	14.4643	+	31.0588i	0.472024	+	1.01357i
$940$	−0.524546	−	0.889827i	−0.0171088	−	0.0290230i
$941$	−1.81117	+	6.75936i	−0.0590423	+	0.220349i	−0.989143	−	0.146955i	$-0.953053\pi$
$941$	−1.81117	+	6.75936i	−0.0590423	+	0.220349i	0.930101	+	0.367304i	$0.119719\pi$
$942$	−13.9151	+	11.6645i	−0.453379	+	0.380048i
$943$	−8.29364	−	2.22227i	−0.270078	−	0.0723672i
$944$	−15.6572	+	15.6572i	−0.509599	+	0.509599i
$945$	−13.1085	+	50.4471i	−0.426419	+	1.64105i
$946$	33.4962	−	19.3390i	1.08905	−	0.628766i
$947$	24.5788	+	24.5788i	0.798704	+	0.798704i	0.982891	−	0.184187i	$-0.0589653\pi$
$947$	24.5788	+	24.5788i	0.798704	+	0.798704i	−0.184187	+	0.982891i	$0.558965\pi$
$948$	8.50591	+	18.2645i	0.276259	+	0.593205i
$949$	14.9622	+	0.293403i	0.485694	+	0.00952426i
$950$	17.9294	−	0.324870i	0.581707	−	0.0105402i
$951$	−5.16549	+	14.1703i	−0.167502	+	0.459502i
$952$			0.886080i			0.0287180i
$953$	4.13885	+	2.38956i	0.134070	+	0.0774056i	0.565535	−	0.824724i	$-0.308670\pi$
$953$	4.13885	+	2.38956i	0.134070	+	0.0774056i	−0.431465	+	0.902130i	$0.642003\pi$
$954$	−43.1724	−	20.1836i	−1.39776	−	0.653468i
$955$	16.1851	−	16.4810i	0.523738	−	0.533314i
$956$	−1.25770	−	0.336999i	−0.0406768	−	0.0108993i
$957$	−7.82997	−	44.5347i	−0.253107	−	1.43960i
$958$		−	46.6516i		−	1.50724i
$959$	−14.8868	+	25.7846i	−0.480719	+	0.832630i
$960$	2.64623	−	7.46886i	0.0854066	−	0.241056i
$961$	60.9076	+	35.1650i	1.96476	+	1.13435i
$962$	−48.4783	−	14.0140i	−1.56300	−	0.451829i
$963$	−4.91700	+	5.84810i	−0.158448	+	0.188452i
$964$	−16.9019	−	4.52886i	−0.544374	−	0.145865i
$965$	26.1438	+	44.3496i	0.841597	+	1.42766i
$966$	−21.9434	−	15.3811i	−0.706016	−	0.494878i
$967$	6.63203	−	24.7511i	0.213272	−	0.795941i	−0.773496	−	0.633801i	$-0.781494\pi$
$967$	6.63203	−	24.7511i	0.213272	−	0.795941i	0.986768	−	0.162140i	$-0.0518395\pi$
$968$	5.05540	−	5.05540i	0.162487	−	0.162487i
$969$	−0.291847	+	0.244643i	−0.00937548	+	0.00785907i
$970$	26.1215	+	25.6524i	0.838709	+	0.823650i
$971$	19.4956	+	11.2558i	0.625645	+	0.361216i	0.779063	−	0.626945i	$-0.215695\pi$
$971$	19.4956	+	11.2558i	0.625645	+	0.361216i	−0.153419	+	0.988161i	$0.549028\pi$
$972$	−1.16452	−	13.7005i	−0.0373521	−	0.439445i
$973$	18.0204	+	4.82854i	0.577706	+	0.154796i
$974$	−8.45433	+	14.6433i	−0.270894	+	0.469202i
$975$	−20.0235	−	23.9595i	−0.641266	−	0.767318i
$976$	11.9545	+	20.7058i	0.382655	+	0.662777i
$977$	14.1035	+	52.6351i	0.451212	+	1.68395i	0.698992	+	0.715129i	$0.253632\pi$
$977$	14.1035	+	52.6351i	0.451212	+	1.68395i	−0.247781	+	0.968816i	$0.579701\pi$
$978$	−11.0547	−	23.7376i	−0.353492	−	0.759045i
$979$	12.0068	−	6.93212i	0.383738	−	0.221552i
$980$	6.47280	−	25.0628i	0.206766	−	0.800602i
$981$	−50.2122	−	23.4748i	−1.60315	−	0.749493i
$982$	12.2654	+	45.7751i	0.391405	+	1.46074i
$983$	25.8495	−	6.92636i	0.824472	−	0.220916i	0.178171	−	0.984000i	$-0.442982\pi$
$983$	25.8495	−	6.92636i	0.824472	−	0.220916i	0.646300	+	0.763083i	$0.276315\pi$
$984$	−5.86544	−	12.5947i	−0.186983	−	0.401505i
$985$	−37.0430	+	0.335570i	−1.18029	+	0.0106922i
$986$	0.443898	+	1.65665i	0.0141366	+	0.0527585i
$987$	3.33211	+	2.33563i	0.106062	+	0.0743438i
$988$	−5.75159	−	3.47278i	−0.182982	−	0.110484i
$989$			17.2097i			0.547238i
$990$	24.9462	−	17.7693i	0.792844	−	0.564745i
$991$	−11.8816	−	20.5796i	−0.377433	−	0.653732i	0.613255	−	0.789885i	$-0.289860\pi$
$991$	−11.8816	−	20.5796i	−0.377433	−	0.653732i	−0.990688	+	0.136152i	$0.956526\pi$
$992$	−40.7021	+	23.4994i	−1.29229	+	0.746106i
$993$	−27.5921	−	32.9160i	−0.875608	−	1.04456i
$994$	−12.9378	+	12.9378i	−0.410362	+	0.410362i
$995$	34.2869	+	8.85505i	1.08697	+	0.280724i
$996$	−5.46438	−	1.99193i	−0.173145	−	0.0631168i
$997$	−49.4527	+	28.5515i	−1.56618	+	0.904237i	−0.569576	+	0.821939i	$0.692893\pi$
$997$	−49.4527	+	28.5515i	−1.56618	+	0.904237i	−0.996608	+	0.0822979i	$0.973774\pi$
$998$	−40.6169	+	23.4502i	−1.28570	+	0.742302i
$999$	21.4742	−	37.0674i	0.679414	−	1.17276i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	585.2.cn.a.119.19	yes	320
5.4	even	2	inner	585.2.cn.a.119.62	yes	320
9.5	odd	6		585.2.de.a.509.62	yes	320
13.7	odd	12		585.2.de.a.254.19	yes	320
45.14	odd	6		585.2.de.a.509.19	yes	320
65.59	odd	12		585.2.de.a.254.62	yes	320
117.59	even	12	inner	585.2.cn.a.59.62	yes	320
585.59	even	12	inner	585.2.cn.a.59.19	✓	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.cn.a.59.19	✓	320	585.59	even	12	inner
585.2.cn.a.59.62	yes	320	117.59	even	12	inner
585.2.cn.a.119.19	yes	320	1.1	even	1	trivial
585.2.cn.a.119.62	yes	320	5.4	even	2	inner
585.2.de.a.254.19	yes	320	13.7	odd	12
585.2.de.a.254.62	yes	320	65.59	odd	12
585.2.de.a.509.19	yes	320	45.14	odd	6
585.2.de.a.509.62	yes	320	9.5	odd	6

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:	\( N \)	\(=\)	\( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	585.cn (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.20043 + 1.20043i) q^{2} +(-1.41832 - 0.994165i) q^{3} -0.882060i q^{4} +(2.15454 - 0.598279i) q^{5} +(2.89602 - 0.509170i) q^{6} +(-4.33313 - 1.16106i) q^{7} +(-1.34201 - 1.34201i) q^{8} +(1.02327 + 2.82009i) q^{9} +O(q^{10})\)	\(q+(-1.20043 + 1.20043i) q^{2} +(-1.41832 - 0.994165i) q^{3} -0.882060i q^{4} +(2.15454 - 0.598279i) q^{5} +(2.89602 - 0.509170i) q^{6} +(-4.33313 - 1.16106i) q^{7} +(-1.34201 - 1.34201i) q^{8} +(1.02327 + 2.82009i) q^{9} +(-1.86819 + 3.30457i) q^{10} +(-1.90170 + 1.90170i) q^{11} +(-0.876913 + 1.25104i) q^{12} +(2.49903 + 2.59900i) q^{13} +(6.59538 - 3.80784i) q^{14} +(-3.65062 - 1.29342i) q^{15} +4.98609 q^{16} +(0.0901313 + 0.0520373i) q^{17} +(-4.61369 - 2.15695i) q^{18} +(-0.546779 - 2.04061i) q^{19} +(-0.527718 - 1.90044i) q^{20} +(4.99148 + 5.95460i) q^{21} -4.56572i q^{22} +(1.75934 + 1.01576i) q^{23} +(0.569222 + 3.23758i) q^{24} +(4.28413 - 2.57804i) q^{25} +(-6.11983 - 0.120007i) q^{26} +(1.35231 - 5.01710i) q^{27} +(-1.02412 + 3.82208i) q^{28} -9.70712i q^{29} +(5.93498 - 2.82966i) q^{30} +(9.72328 + 2.60535i) q^{31} +(-3.30143 + 3.30143i) q^{32} +(4.58784 - 0.806621i) q^{33} +(-0.170663 + 0.0457291i) q^{34} +(-10.0306 + 0.0908662i) q^{35} +(2.48749 - 0.902587i) q^{36} +(7.96334 + 2.13377i) q^{37} +(3.10597 + 1.79324i) q^{38} +(-0.960595 - 6.17068i) q^{39} +(-3.69431 - 2.08852i) q^{40} +(-4.08250 + 1.09390i) q^{41} +(-13.1400 - 1.15615i) q^{42} +(4.23570 + 7.33645i) q^{43} +(1.67742 + 1.67742i) q^{44} +(3.89189 + 5.46381i) q^{45} +(-3.33131 + 0.892620i) q^{46} +(0.505861 - 0.135545i) q^{47} +(-7.07188 - 4.95700i) q^{48} +(11.3658 + 6.56202i) q^{49} +(-2.04804 + 8.23754i) q^{50} +(-0.0761015 - 0.163411i) q^{51} +(2.29248 - 2.20430i) q^{52} +9.35746 q^{53} +(4.39932 + 7.64602i) q^{54} +(-2.95956 + 5.23506i) q^{55} +(4.25694 + 7.37324i) q^{56} +(-1.25319 + 3.43783i) q^{57} +(11.6527 + 11.6527i) q^{58} +(-3.14018 + 3.14018i) q^{59} +(-1.14087 + 3.22007i) q^{60} +(2.39757 + 4.15272i) q^{61} +(-14.7996 + 8.54458i) q^{62} +(-1.15968 - 13.4079i) q^{63} +2.04591i q^{64} +(6.93921 + 4.10455i) q^{65} +(-4.53908 + 6.47566i) q^{66} +(-0.726788 + 0.194742i) q^{67} +(0.0459000 - 0.0795012i) q^{68} +(-1.48548 - 3.18974i) q^{69} +(11.9319 - 12.1500i) q^{70} +(-2.32065 + 0.621817i) q^{71} +(2.41134 - 5.15782i) q^{72} +(2.93490 - 2.93490i) q^{73} +(-12.1209 + 6.99799i) q^{74} +(-8.63926 - 0.602643i) q^{75} +(-1.79994 + 0.482292i) q^{76} +(10.4483 - 6.03234i) q^{77} +(8.56059 + 6.25433i) q^{78} +(6.59393 - 11.4210i) q^{79} +(10.7428 - 2.98307i) q^{80} +(-6.90583 + 5.77144i) q^{81} +(3.58760 - 6.21390i) q^{82} +(0.985305 + 3.67721i) q^{83} +(5.25231 - 4.40279i) q^{84} +(0.225325 + 0.0581931i) q^{85} +(-13.8915 - 3.72223i) q^{86} +(-9.65048 + 13.7678i) q^{87} +5.10421 q^{88} +(-4.97945 - 1.33424i) q^{89} +(-11.2308 - 1.88698i) q^{90} +(-7.81104 - 14.1633i) q^{91} +(0.895957 - 1.55184i) q^{92} +(-11.2006 - 13.3618i) q^{93} +(-0.444538 + 0.769962i) q^{94} +(-2.39891 - 4.06945i) q^{95} +(7.96466 - 1.40032i) q^{96} +(2.49617 - 9.31582i) q^{97} +(-21.5210 + 5.76654i) q^{98} +(-7.30894 - 3.41702i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9}+O(q^{10}) \) 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9	\( 320 q - 6 q^{5} - 24 q^{6} - 4 q^{9} - 12 q^{10} - 12 q^{11} - 24 q^{14} + 10 q^{15} - 280 q^{16} - 16 q^{19} + 6 q^{20} + 8 q^{21} + 44 q^{24} - 48 q^{26} - 6 q^{30} - 4 q^{31} - 20 q^{34} + 66 q^{35} + 36 q^{36} + 20 q^{39} - 12 q^{40} + 12 q^{41} + 72 q^{44} + 4 q^{45} - 8 q^{46} - 12 q^{49} + 48 q^{50} + 84 q^{54} - 4 q^{55} - 12 q^{56} - 12 q^{59} - 76 q^{60} + 4 q^{61} - 84 q^{65} - 20 q^{66} - 12 q^{69} - 28 q^{70} - 48 q^{71} + 36 q^{74} + 12 q^{75} - 4 q^{76} - 20 q^{79} - 6 q^{80} - 48 q^{81} - 96 q^{84} - 16 q^{85} - 12 q^{86} - 60 q^{89} + 114 q^{90} - 16 q^{91} + 52 q^{94} - 12 q^{95} + 180 q^{96}+O(q^{100}) \) 320 * q - 6 * q^5 - 24 * q^6 - 4 * q^9 - 12 * q^10 - 12 * q^11 - 24 * q^14 + 10 * q^15 - 280 * q^16 - 16 * q^19 + 6 * q^20 + 8 * q^21 + 44 * q^24 - 48 * q^26 - 6 * q^30 - 4 * q^31 - 20 * q^34 + 66 * q^35 + 36 * q^36 + 20 * q^39 - 12 * q^40 + 12 * q^41 + 72 * q^44 + 4 * q^45 - 8 * q^46 - 12 * q^49 + 48 * q^50 + 84 * q^54 - 4 * q^55 - 12 * q^56 - 12 * q^59 - 76 * q^60 + 4 * q^61 - 84 * q^65 - 20 * q^66 - 12 * q^69 - 28 * q^70 - 48 * q^71 + 36 * q^74 + 12 * q^75 - 4 * q^76 - 20 * q^79 - 6 * q^80 - 48 * q^81 - 96 * q^84 - 16 * q^85 - 12 * q^86 - 60 * q^89 + 114 * q^90 - 16 * q^91 + 52 * q^94 - 12 * q^95 + 180 * q^96

Introduction

L-functions

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