LMFDB - Embedded newform 585.2.cn.a.59.19

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			59.19
Character	$\chi$	$=$	585.59
Dual form			585.2.cn.a.119.19

$q$-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 $\left(\mathbb{Z}/585\mathbb{Z}\right)^\times$.

$n$	$326$	$352$	$496$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{11}{12}\right)$

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	0.141156	−	0.989987i	$-0.454918\pi$
$2$	−1.20043	−	1.20043i	−0.848832	−	0.848832i	−0.989987	+	0.141156i	$0.954918\pi$
$3$	−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	−0.956152	−	0.292871i	$-0.905389\pi$
$7$	−4.33313	+	1.16106i	−1.63777	+	0.438839i	−0.681616	+	0.731710i	$0.738723\pi$
$8$	−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	0.359687	−	0.933073i	$-0.382883\pi$
$11$	−1.90170	−	1.90170i	−0.573386	−	0.573386i	−0.933073	+	0.359687i	$0.882883\pi$
$12$	−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	−0.489030	−	0.872267i	$-0.662649\pi$
$17$	0.0901313	−	0.0520373i	0.0218601	−	0.0126209i	0.510890	+	0.859646i	$0.329316\pi$
$18$	−4.61369	+	2.15695i	−1.08746	+	0.508399i
$19$	−0.546779	+	2.04061i	−0.125440	+	0.468148i	−0.999855	−	0.0170308i	$-0.994579\pi$
$19$	−0.546779	+	2.04061i	−0.125440	+	0.468148i	0.874415	+	0.485178i	$0.161245\pi$
$20$	−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	−0.305233	−	0.952278i	$-0.598734\pi$
$23$	1.75934	−	1.01576i	0.366848	−	0.211800i	0.672080	+	0.740478i	$0.265401\pi$
$24$	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	$0.357374\pi$
$29$			9.70712i			1.80257i	−0.433229	+	0.901284i	$0.642626\pi$
$30$	5.93498	+	2.82966i	1.08357	+	0.516622i
$31$	9.72328	−	2.60535i	1.74635	−	0.467934i	0.762511	−	0.646975i	$-0.223966\pi$
$31$	9.72328	−	2.60535i	1.74635	−	0.467934i	0.983842	+	0.179041i	$0.0572996\pi$
$32$	−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	0.464257	−	0.885700i	$-0.346321\pi$
$37$	7.96334	−	2.13377i	1.30917	−	0.350790i	0.844909	+	0.534911i	$0.179655\pi$
$38$	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	−0.0744726	−	0.997223i	$-0.523727\pi$
$41$	−4.08250	−	1.09390i	−0.637579	−	0.170839i	−0.563107	+	0.826384i	$0.690394\pi$
$42$	−13.1400	+	1.15615i	−2.02754	+	0.178397i
$43$	4.23570	−	7.33645i	0.645938	−	1.11880i	−0.338146	−	0.941094i	$-0.609800\pi$
$43$	4.23570	−	7.33645i	0.645938	−	1.11880i	0.984084	−	0.177704i	$-0.0568670\pi$
$44$	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	0.295524	−	0.955335i	$-0.404506\pi$
$47$	0.505861	+	0.135545i	0.0737874	+	0.0197713i	−0.221736	+	0.975107i	$0.571172\pi$
$48$	−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	0.472509	−	0.881326i	$-0.343348\pi$
$59$	−3.14018	−	3.14018i	−0.408817	−	0.408817i	−0.881326	+	0.472509i	$0.843348\pi$
$60$	−1.14087	−	3.22007i	−0.147286	−	0.415709i
$61$	2.39757	−	4.15272i	0.306978	−	0.531701i	−0.670722	−	0.741709i	$-0.734016\pi$
$61$	2.39757	−	4.15272i	0.306978	−	0.531701i	0.977700	+	0.210008i	$0.0673489\pi$
$62$	−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	0.214150	−	0.976801i	$-0.431302\pi$
$67$	−0.726788	−	0.194742i	−0.0887913	−	0.0237916i	−0.302941	+	0.953009i	$0.597969\pi$
$68$	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	0.118470	−	0.992958i	$-0.462201\pi$
$71$	−2.32065	−	0.621817i	−0.275411	−	0.0737961i	−0.393881	+	0.919162i	$0.628868\pi$
$72$	2.41134	+	5.15782i	0.284180	+	0.607855i
$73$	2.93490	+	2.93490i	0.343504	+	0.343504i	0.857683	−	0.514179i	$-0.171903\pi$
$73$	2.93490	+	2.93490i	0.343504	+	0.343504i	−0.514179	+	0.857683i	$0.671903\pi$
$74$	−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	0.951641	+	0.307214i	$0.0993967\pi$
$79$	6.59393	+	11.4210i	0.741875	+	1.28497i	−0.209765	+	0.977752i	$0.567270\pi$
$80$	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	−0.890532	−	0.454920i	$-0.849668\pi$
$83$	0.985305	−	3.67721i	0.108151	−	0.403626i	0.998684	+	0.0512939i	$0.0163345\pi$
$84$	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	−0.512882	−	0.858459i	$-0.671422\pi$
$89$	−4.97945	+	1.33424i	−0.527821	+	0.141429i	−0.0149392	+	0.999888i	$0.504755\pi$
$90$	−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	0.968948	+	0.247266i	$0.0795320\pi$
$97$	2.49617	+	9.31582i	0.253447	+	0.945878i	−0.715501	+	0.698612i	$0.753801\pi$
$98$	−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	−0.994939	−	0.100485i	$-0.967960\pi$
$103$	−4.16558	+	7.21499i	−0.410446	+	0.710914i	0.584492	+	0.811399i	$0.301294\pi$
$104$	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	−0.797885	−	0.602809i	$-0.794048\pi$
$107$	1.27342	−	2.20562i	0.123106	−	0.213225i	0.920991	+	0.389584i	$0.127381\pi$
$108$	−4.42538	+	1.19281i	−0.425832	+	0.114779i
$109$	−13.0646	−	13.0646i	−1.25137	−	1.25137i	−0.955108	−	0.296258i	$-0.904261\pi$
$109$	−13.0646	−	13.0646i	−1.25137	−	1.25137i	−0.296258	−	0.955108i	$-0.595739\pi$
$110$	−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	−0.474591	−	0.880206i	$-0.657404\pi$
$127$	5.91628	−	10.2473i	0.524985	−	0.909301i	0.999577	−	0.0290948i	$-0.00926247\pi$
$128$	−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	0.862141	−	0.506668i	$-0.169123\pi$
$131$	9.77934	+	5.64610i	0.854425	+	0.493302i	−0.00771666	+	0.999970i	$0.502456\pi$
$132$	−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	0.999671	+	0.0256598i	$0.00816867\pi$
$137$	1.71779	+	6.41087i	0.146760	+	0.547717i	−0.852910	+	0.522057i	$0.825165\pi$
$138$	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	−0.885440	−	0.464754i	$-0.846143\pi$
$149$	−5.13513	+	5.13513i	−0.420686	+	0.420686i	0.464754	+	0.885440i	$0.346143\pi$
$150$	11.0942	+	9.64739i	0.905842	+	0.787706i
$151$	10.7144	+	2.87093i	0.871929	+	0.233633i	0.666922	−	0.745128i	$-0.267612\pi$
$151$	10.7144	+	2.87093i	0.871929	+	0.233633i	0.205007	+	0.978760i	$0.434278\pi$
$152$	−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	0.271184	−	0.962528i	$-0.412585\pi$
$157$	−5.34775	−	3.08753i	−0.426797	−	0.246411i	−0.697981	+	0.716116i	$0.745918\pi$
$158$	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	0.815012	+	0.579444i	$0.196730\pi$
$163$	−2.30486	+	8.60187i	−0.180531	+	0.673751i	−0.995543	+	0.0943068i	$0.969937\pi$
$164$	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	0.811032	−	0.585002i	$-0.198906\pi$
$167$	15.7776	+	4.22759i	1.22090	+	0.327140i	0.409873	+	0.912143i	$0.365573\pi$
$168$	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	0.175740	−	0.984437i	$-0.443768\pi$
$173$	−7.74627	−	4.47231i	−0.588938	−	0.340023i	−0.764677	+	0.644413i	$0.777102\pi$
$174$	−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	−0.724457	−	0.689320i	$-0.757909\pi$
$179$	3.14061	−	5.43969i	0.234740	−	0.406582i	0.959197	+	0.282738i	$0.0912428\pi$
$180$	4.81941	+	3.43288i	0.359217	+	0.255871i
$181$			17.5675i			1.30578i	0.757451	+	0.652892i	$0.226444\pi$
$181$			17.5675i			1.30578i	−0.757451	+	0.652892i	$0.773556\pi$
$182$	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	0.787435	−	0.616398i	$-0.211409\pi$
$191$	8.94636	+	5.16518i	0.647336	+	0.373739i	−0.140099	+	0.990138i	$0.544742\pi$
$192$	2.03397	+	2.90176i	0.146789	+	0.209417i
$193$	5.95889	−	22.2389i	0.428931	−	1.60079i	−0.326256	−	0.945281i	$-0.605787\pi$
$193$	5.95889	−	22.2389i	0.428931	−	1.60079i	0.755187	−	0.655509i	$-0.227546\pi$
$194$	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	−0.778998	−	0.627027i	$-0.784272\pi$
$197$	−16.0023	+	4.28780i	−1.14012	+	0.305493i	−0.361118	+	0.932520i	$0.617605\pi$
$198$	12.8758	+	4.67198i	0.915040	+	0.332023i
$199$	13.7150	−	7.91835i	0.972229	−	0.561317i	0.0723141	−	0.997382i	$-0.476962\pi$
$199$	13.7150	−	7.91835i	0.972229	−	0.561317i	0.899915	+	0.436065i	$0.143628\pi$
$200$	−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	0.839736	−	0.542995i	$-0.182710\pi$
$211$	−0.731807	−	1.26753i	−0.0503796	−	0.0872601i	−0.890115	+	0.455735i	$0.849376\pi$
$212$			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	−0.469598	−	0.882880i	$-0.655601\pi$
$223$	6.17162	−	6.17162i	0.413282	−	0.413282i	0.882880	+	0.469598i	$0.155601\pi$
$224$	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	−0.986910	−	0.161273i	$-0.948440\pi$
$227$	−26.5316	+	7.10911i	−1.76096	+	0.471848i	−0.774052	+	0.633121i	$0.781773\pi$
$228$	3.03237	−	1.10539i	0.200824	−	0.0732062i
$229$	−1.76953	−	6.60399i	−0.116934	−	0.436404i	0.882490	−	0.470331i	$-0.155865\pi$
$229$	−1.76953	−	6.60399i	−0.116934	−	0.436404i	−0.999424	+	0.0339267i	$0.989199\pi$
$230$	−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	$-0.869775\pi$
$233$		−	12.1442i		−	0.795593i	0.917474	−	0.397796i	$-0.130225\pi$
$234$	−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	0.977181	−	0.212408i	$-0.0681306\pi$
$239$	0.382059	+	1.42586i	0.0247133	+	0.0922314i	−0.952468	+	0.304640i	$0.901464\pi$
$240$	−18.2023	+	6.44911i	−1.17496	+	0.416289i
$241$	5.13441	+	19.1619i	0.330737	+	1.23433i	0.908418	+	0.418063i	$0.137291\pi$
$241$	5.13441	+	19.1619i	0.330737	+	1.23433i	−0.577681	+	0.816262i	$0.696042\pi$
$242$	−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	0.799087	−	0.601215i	$-0.205316\pi$
$251$	−1.91896	−	3.32374i	−0.121124	−	0.209793i	−0.920211	+	0.391422i	$0.871983\pi$
$252$	−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	−0.989389	−	0.145291i	$-0.953588\pi$
$257$	−21.7745	+	12.5715i	−1.35826	+	0.784190i	−0.368869	+	0.929481i	$0.620255\pi$
$258$	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	0.551836	−	0.833953i	$-0.313928\pi$
$269$	25.4215	−	14.6771i	1.54998	−	0.894880i	0.998142	−	0.0609273i	$-0.0194058\pi$
$270$	14.0530	−	13.8417i	0.855237	−	0.842377i
$271$	−3.23422	−	12.0703i	−0.196465	−	0.733217i	−0.991883	−	0.127156i	$-0.959415\pi$
$271$	−3.23422	−	12.0703i	−0.196465	−	0.733217i	0.795418	−	0.606061i	$-0.207251\pi$
$272$	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	−0.934803	−	0.355167i	$-0.884424\pi$
$277$	−2.65989	+	4.60707i	−0.159817	+	0.276812i	0.774985	+	0.631979i	$0.217757\pi$
$278$	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	0.863608	+	0.504164i	$0.168199\pi$
$281$	−2.28615	+	8.53202i	−0.136380	+	0.508978i	−0.999988	+	0.00481434i	$0.998468\pi$
$282$	1.39597	+	0.650110i	0.0831286	+	0.0387135i
$283$	12.6233	+	21.8642i	0.750378	+	1.29969i	0.947639	+	0.319342i	$0.103462\pi$
$283$	12.6233	+	21.8642i	0.750378	+	1.29969i	−0.197261	+	0.980351i	$0.563205\pi$
$284$	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	−0.314468	−	0.949268i	$-0.601826\pi$
$293$	10.8660	−	10.8660i	0.634800	−	0.634800i	0.949268	+	0.314468i	$0.101826\pi$
$294$	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	0.657592	−	0.753374i	$-0.271575\pi$
$307$	−1.67824	−	1.67824i	−0.0957823	−	0.0957823i	−0.753374	+	0.657592i	$0.771575\pi$
$308$	−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	−0.784477	−	0.620158i	$-0.787068\pi$
$311$	2.55418	−	4.42397i	0.144834	−	0.250860i	0.929311	+	0.369298i	$0.120402\pi$
$312$	−6.99197	−	9.57022i	−0.395842	−	0.541807i
$313$	−17.1309	+	9.89051i	−0.968294	+	0.559045i	−0.898716	−	0.438532i	$-0.855499\pi$
$313$	−17.1309	+	9.89051i	−0.968294	+	0.559045i	−0.0695783	+	0.997576i	$0.522165\pi$
$314$	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	−0.999891	−	0.0147535i	$-0.995304\pi$
$317$	−2.25375	+	8.41111i	−0.126583	+	0.472415i	0.873308	+	0.487169i	$0.161970\pi$
$318$	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	0.468874	−	0.883265i	$-0.344660\pi$
$331$	23.9528	−	6.41813i	1.31656	−	0.352772i	0.847689	+	0.530493i	$0.177993\pi$
$332$	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	0.118052	−	0.993007i	$-0.462335\pi$
$337$	16.8705	−	29.2206i	0.918996	−	1.59175i	0.800944	−	0.598740i	$-0.204332\pi$
$338$	−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	−0.840766	−	0.541398i	$-0.817895\pi$
$349$	−5.59266	+	5.59266i	−0.299368	+	0.299368i	0.541398	+	0.840766i	$0.317895\pi$
$350$	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	0.513725	−	0.857955i	$-0.328265\pi$
$353$	−6.46749	−	6.46749i	−0.344230	−	0.344230i	−0.857955	+	0.513725i	$0.828265\pi$
$354$	−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	0.682290	−	0.731082i	$-0.260984\pi$
$359$	−0.924479	−	0.924479i	−0.0487921	−	0.0487921i	−0.731082	+	0.682290i	$0.760984\pi$
$360$	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	$-0.953225\pi$
$367$		−	5.61004i		−	0.292841i	0.989222	−	0.146421i	$-0.0467753\pi$
$368$	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	$-0.968079\pi$
$373$		−	3.86705i		−	0.200228i	0.994976	−	0.100114i	$-0.0319208\pi$
$374$	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	−0.810397	−	0.585882i	$-0.800748\pi$
$379$	−23.7368	+	6.36027i	−1.21928	+	0.326705i	−0.408883	+	0.912587i	$0.634082\pi$
$380$	−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	0.982478	−	0.186381i	$-0.0596757\pi$
$383$	15.5799	+	15.5799i	0.796097	+	0.796097i	−0.186381	+	0.982478i	$0.559676\pi$
$384$	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	−0.997039	−	0.0769038i	$-0.975497\pi$
$389$	−11.1459	−	19.3053i	−0.565120	−	0.978816i	0.431919	−	0.901913i	$-0.357837\pi$
$390$	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	0.845612	+	0.533799i	$0.179236\pi$
$397$	−3.06064	+	11.4225i	−0.153609	+	0.573276i	−0.999220	+	0.0394776i	$0.987431\pi$
$398$	−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	0.857977	+	0.513689i	$0.171721\pi$
$401$	−2.84149	+	10.6046i	−0.141897	+	0.529568i	−0.999874	+	0.0158793i	$0.994945\pi$
$402$	−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	0.516372	−	0.856364i	$-0.327282\pi$
$409$	−6.87593	−	6.87593i	−0.339993	−	0.339993i	−0.856364	+	0.516372i	$0.827282\pi$
$410$	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	0.462314	−	0.886716i	$-0.347019\pi$
$419$	29.9139	−	17.2708i	1.46139	−	0.843734i	0.999076	+	0.0429829i	$0.0136861\pi$
$420$	8.68224	+	12.6283i	0.423650	+	0.616200i
$421$	7.08794	−	26.4526i	0.345445	−	1.28922i	−0.546646	−	0.837364i	$-0.684096\pi$
$421$	7.08794	−	26.4526i	0.345445	−	1.28922i	0.892091	−	0.451855i	$-0.149238\pi$
$422$	−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	−0.999565	−	0.0294922i	$-0.990611\pi$
$431$	−3.08631	−	11.5183i	−0.148662	−	0.554816i	0.850903	−	0.525324i	$-0.176056\pi$
$432$	6.74272	+	25.0157i	0.324409	+	1.20357i
$433$	−5.50304	−	9.53155i	−0.264459	−	0.458057i	0.702962	−	0.711227i	$-0.251860\pi$
$433$	−5.50304	−	9.53155i	−0.264459	−	0.458057i	−0.967422	+	0.253170i	$0.918527\pi$
$434$	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	$0.125720\pi$
$439$			16.1237i			0.769543i	−0.923012	+	0.384771i	$0.874280\pi$
$440$	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	0.890806	−	0.454383i	$-0.150140\pi$
$443$	1.09228	+	1.89189i	0.0518960	+	0.0898865i	−0.838910	+	0.544270i	$0.816807\pi$
$444$	−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	−0.602945	−	0.797783i	$-0.706006\pi$
$449$	6.74067	−	25.1565i	0.318112	−	1.18721i	0.921057	−	0.389427i	$-0.127327\pi$
$450$	−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	−0.732150	−	0.681143i	$-0.761483\pi$
$457$	−1.09040	+	1.09040i	−0.0510068	+	0.0510068i	0.681143	+	0.732150i	$0.261483\pi$
$458$	−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	0.997742	−	0.0671650i	$-0.0213954\pi$
$461$	2.14901	+	8.02023i	0.100090	+	0.373539i	−0.897652	+	0.440704i	$0.854729\pi$
$462$	27.1870	+	22.7897i	1.26486	+	1.06027i
$463$	−8.79548	+	2.35674i	−0.408761	+	0.109527i	−0.457339	−	0.889292i	$-0.651198\pi$
$463$	−8.79548	+	2.35674i	−0.408761	+	0.109527i	0.0485787	+	0.998819i	$0.484531\pi$
$464$			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	$-0.941922\pi$
$467$		−	7.84219i		−	0.362893i	0.983401	−	0.181447i	$-0.0580779\pi$
$468$	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	0.106480	−	0.994315i	$-0.466042\pi$
$479$	−19.4312	−	19.4312i	−0.887835	−	0.887835i	−0.994315	+	0.106480i	$0.966042\pi$
$480$	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	0.470118	−	0.882604i	$-0.344211\pi$
$487$	9.62058	+	2.57783i	0.435950	+	0.116813i	−0.0341677	+	0.999416i	$0.510878\pi$
$488$	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	0.987574	+	0.157156i	$0.0502325\pi$
$491$	13.9574	+	24.1749i	0.629888	+	1.09100i	−0.357686	+	0.933842i	$0.616434\pi$
$492$	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	0.393890	−	0.919158i	$-0.371129\pi$
$499$	26.6851	−	7.15024i	1.19459	−	0.320089i	0.800697	+	0.599069i	$0.204462\pi$
$500$	−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	0.928383	−	0.371625i	$-0.121199\pi$
$503$	3.19268	+	5.52988i	0.142354	+	0.246565i	−0.786028	+	0.618190i	$0.787866\pi$
$504$	−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	0.0850637	−	0.996376i	$-0.472891\pi$
$509$	−7.65849	−	2.05209i	−0.339457	−	0.0909571i	−0.424520	+	0.905418i	$0.639557\pi$
$510$	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	$-0.838036\pi$
$521$		−	22.2388i		−	0.974301i	0.873318	−	0.487150i	$-0.161964\pi$
$522$	−20.9378	−	44.7856i	−0.916423	−	1.96021i
$523$	31.3653	+	18.1088i	1.37151	+	0.791842i	0.991118	−	0.132983i	$-0.0424556\pi$
$523$	31.3653	+	18.1088i	1.37151	+	0.791842i	0.380393	+	0.924825i	$0.375789\pi$
$524$	−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	−0.790684	−	0.612224i	$-0.790275\pi$
$541$	−4.15087	+	4.15087i	−0.178460	+	0.178460i	0.612224	+	0.790684i	$0.290275\pi$
$542$	−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	−0.503682	−	0.863889i	$-0.668022\pi$
$547$	−0.172437	+	0.0995565i	−0.00737287	+	0.00425673i	0.496309	+	0.868146i	$0.334688\pi$
$548$	−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	0.858671	+	0.512527i	$0.171290\pi$
$557$	8.76308	+	32.7042i	0.371303	+	1.38572i	−0.487368	+	0.873197i	$0.662043\pi$
$558$	−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	$0.101388\pi$
$563$			14.8611i			0.626321i	−0.949700	+	0.313160i	$0.898612\pi$
$564$	−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	0.171268	−	0.985225i	$-0.445214\pi$
$571$	−14.2496	−	8.22702i	−0.596328	−	0.344290i	−0.767596	+	0.640934i	$0.778547\pi$
$572$	−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	−0.572623	−	0.819819i	$-0.694074\pi$
$577$	5.93785	−	5.93785i	0.247196	−	0.247196i	0.819819	+	0.572623i	$0.194074\pi$
$578$	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	0.840444	−	0.541899i	$-0.182294\pi$
$587$	7.23317	+	7.23317i	0.298545	+	0.298545i	−0.541899	+	0.840444i	$0.682294\pi$
$588$	−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	−0.148559	−	0.988904i	$-0.547463\pi$
$593$	20.4637	−	20.4637i	0.840345	−	0.840345i	0.988904	+	0.148559i	$0.0474635\pi$
$594$	−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	−0.242798	−	0.970077i	$-0.578065\pi$
$599$	−29.4748	−	17.0173i	−1.20431	−	0.695308i	−0.961510	+	0.274769i	$0.911399\pi$
$600$	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	$-0.972421\pi$
$607$		−	4.26387i		−	0.173065i	0.996249	−	0.0865325i	$-0.0275786\pi$
$608$	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	0.938112	−	0.346332i	$-0.112573\pi$
$613$	−1.17561	−	4.38745i	−0.0474826	−	0.177208i	−0.985595	+	0.169124i	$0.945906\pi$
$614$			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	0.421315	−	0.906914i	$-0.361569\pi$
$617$	−12.0620	−	12.0620i	−0.485599	−	0.485599i	−0.906914	+	0.421315i	$0.861569\pi$
$618$	−15.7372	+	18.7738i	−0.633045	+	0.755191i
$619$	−15.4638	−	4.14351i	−0.621542	−	0.166542i	−0.0657135	−	0.997839i	$-0.520932\pi$
$619$	−15.4638	−	4.14351i	−0.621542	−	0.166542i	−0.555829	+	0.831297i	$0.687599\pi$
$620$	−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	0.132875	−	0.991133i	$-0.457579\pi$
$631$	−6.22012	−	1.66668i	−0.247619	−	0.0663493i	−0.380494	+	0.924784i	$0.624246\pi$
$632$	−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	−0.577976	−	0.816054i	$-0.696157\pi$
$641$	10.5762	−	18.3185i	0.417735	−	0.723538i	0.995711	+	0.0925154i	$0.0294907\pi$
$642$	4.81087	−	5.73913i	0.189870	−	0.226505i
$643$	−26.2311	+	26.2311i	−1.03445	+	1.03445i	−0.0350671	+	0.999385i	$0.511164\pi$
$643$	−26.2311	+	26.2311i	−1.03445	+	1.03445i	−0.999385	+	0.0350671i	$0.988836\pi$
$644$	−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	0.628178	−	0.778070i	$-0.283801\pi$
$647$	6.82805	+	3.94218i	0.268438	+	0.154983i	−0.359739	+	0.933053i	$0.617134\pi$
$648$	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	0.950223	+	0.311572i	$0.100856\pi$
$653$	19.0361	+	32.9715i	0.744941	+	1.29027i	−0.205282	+	0.978703i	$0.565811\pi$
$654$	−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	0.745486	−	0.666521i	$-0.232217\pi$
$659$	13.8881	+	8.01832i	0.541005	+	0.312350i	−0.204481	+	0.978871i	$0.565551\pi$
$660$	−3.95401	+	8.29323i	−0.153910	+	0.322813i
$661$	24.5015	+	6.56515i	0.952997	+	0.255355i	0.701634	−	0.712538i	$-0.252454\pi$
$661$	24.5015	+	6.56515i	0.952997	+	0.255355i	0.251364	+	0.967893i	$0.419121\pi$
$662$	−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	0.880060	−	0.474863i	$-0.157502\pi$
$677$	0.748994	+	1.29730i	0.0287862	+	0.0498591i	−0.851273	+	0.524722i	$0.824169\pi$
$678$	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	−0.287448	−	0.957796i	$-0.592807\pi$
$683$	−26.5337	−	7.10968i	−1.01528	−	0.272045i	−0.727836	+	0.685752i	$0.759474\pi$
$684$	−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	0.678091	−	0.734978i	$-0.262808\pi$
$691$	−1.49539	−	1.49539i	−0.0568873	−	0.0568873i	−0.734978	+	0.678091i	$0.762808\pi$
$692$	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	0.923655	+	0.383225i	$0.125187\pi$
$709$	8.39708	+	31.3383i	0.315359	+	1.17694i	−0.608296	+	0.793710i	$0.708147\pi$
$710$	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	0.998920	+	0.0464532i	$0.0147918\pi$
$719$	14.4713	+	25.0651i	0.539690	+	0.934770i	−0.459231	+	0.888317i	$0.651875\pi$
$720$	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	−0.987136	−	0.159885i	$-0.948888\pi$
$727$	−17.0414	−	29.5166i	−0.632032	−	1.09471i	0.355104	−	0.934827i	$-0.384446\pi$
$728$	−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	0.992153	+	0.125027i	$0.0399018\pi$
$733$	5.29125	+	19.7472i	0.195437	+	0.729381i	−0.796716	+	0.604353i	$0.793432\pi$
$734$	−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	−0.946411	−	0.322965i	$-0.895320\pi$
$739$	−7.83670	−	29.2469i	−0.288278	−	1.07587i	0.658133	−	0.752901i	$-0.271346\pi$
$740$	−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	−0.975297	−	0.220899i	$-0.929101\pi$
$743$	−0.551032	+	2.05648i	−0.0202154	+	0.0754449i	0.955081	+	0.296344i	$0.0957675\pi$
$744$	−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	−0.522841	−	0.852430i	$-0.675128\pi$
$751$	−1.26159	+	0.728377i	−0.0460360	+	0.0265789i	0.476805	+	0.879009i	$0.341795\pi$
$752$	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	−0.480111	−	0.877208i	$-0.659404\pi$
$757$	−40.7161	−	23.5074i	−1.47985	−	0.854392i	−0.999740	+	0.0228159i	$0.992737\pi$
$758$	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	0.675649	−	0.737224i	$-0.263864\pi$
$761$	−1.69863	−	1.69863i	−0.0615754	−	0.0615754i	−0.737224	+	0.675649i	$0.763864\pi$
$762$	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	−0.997398	−	0.0720897i	$-0.977033\pi$
$769$	−2.70601	+	10.0990i	−0.0975812	+	0.364178i	0.899817	+	0.436268i	$0.143700\pi$
$770$	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	−0.945337	−	0.326096i	$-0.894267\pi$
$773$	1.01194	−	3.77661i	0.0363970	−	0.135835i	0.981734	+	0.190261i	$0.0609334\pi$
$774$	−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	0.948281	−	0.317431i	$-0.102820\pi$
$787$	17.6976	+	17.6976i	0.630850	+	0.630850i	−0.317431	+	0.948281i	$0.602820\pi$
$788$	−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	$0.174441\pi$
$797$			29.4169i			1.04200i	−0.853556	+	0.521001i	$0.825559\pi$
$798$	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	0.986944	+	0.161064i	$0.0514924\pi$
$809$	46.0747	+	26.6013i	1.61990	+	0.935250i	0.632957	+	0.774187i	$0.281841\pi$
$810$	−6.17075	+	33.6029i	−0.216818	+	1.18069i
$811$	25.7558	+	25.7558i	0.904408	+	0.904408i	0.995814	−	0.0914055i	$-0.0291359\pi$
$811$	25.7558	+	25.7558i	0.904408	+	0.904408i	−0.0914055	+	0.995814i	$0.529136\pi$
$812$	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	−0.598644	−	0.801015i	$-0.704294\pi$
$821$	5.79856	−	5.79856i	0.202371	−	0.202371i	0.801015	+	0.598644i	$0.204294\pi$
$822$	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	−0.211412	−	0.977397i	$-0.567806\pi$
$827$	22.0279	−	22.0279i	0.765985	−	0.765985i	0.977397	+	0.211412i	$0.0678061\pi$
$828$	5.29315	−	0.938722i	0.183950	−	0.0326228i
$829$	−15.2672	−	8.81451i	−0.530251	−	0.306141i	0.210868	−	0.977515i	$-0.432371\pi$
$829$	−15.2672	−	8.81451i	−0.530251	−	0.306141i	−0.741119	+	0.671374i	$0.765704\pi$
$830$	−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	−0.158139	−	0.987417i	$-0.550549\pi$
$839$	5.75305	−	1.54153i	0.198617	−	0.0532194i	0.356756	+	0.934198i	$0.383883\pi$
$840$	−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	0.782408	+	0.622767i	$0.213991\pi$
$853$	−6.03284	+	22.5149i	−0.206561	+	0.770895i	−0.988968	+	0.148128i	$0.952675\pi$
$854$	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	−0.516473	−	0.856303i	$-0.672755\pi$
$857$	−0.969835	+	0.559935i	−0.0331289	+	0.0191270i	0.483344	+	0.875430i	$0.339422\pi$
$858$	−28.1736	−	4.38581i	−0.961831	−	0.149729i
$859$	−17.4139	+	30.1618i	−0.594155	+	1.02911i	0.399511	+	0.916728i	$0.369180\pi$
$859$	−17.4139	+	30.1618i	−0.594155	+	1.02911i	−0.993666	+	0.112378i	$0.964153\pi$
$860$	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	0.266898	−	0.963725i	$-0.414001\pi$
$863$	−20.4706	−	20.4706i	−0.696827	−	0.696827i	−0.963725	+	0.266898i	$0.914001\pi$
$864$	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	−0.950471	−	0.310812i	$-0.899399\pi$
$877$	−18.9430	+	18.9430i	−0.639659	+	0.639659i	0.310812	+	0.950471i	$0.399399\pi$
$878$	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	−0.350709	−	0.936485i	$-0.614059\pi$
$881$	18.8676	−	32.6796i	0.635665	−	1.10100i	0.986374	−	0.164520i	$-0.0526074\pi$
$882$	−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	−0.997313	−	0.0732564i	$-0.976661\pi$
$887$	−16.7407	−	28.9958i	−0.562098	−	0.973583i	0.435215	−	0.900327i	$-0.356672\pi$
$888$	−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	−0.869591	−	0.493772i	$-0.835618\pi$
$911$	−26.4633	+	15.2786i	−0.876768	+	0.506202i	−0.00717662	+	0.999974i	$0.502284\pi$
$912$	−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	0.883324	−	0.468763i	$-0.155300\pi$
$919$	1.08227	+	1.87455i	0.0357008	+	0.0618356i	−0.847623	+	0.530599i	$0.821967\pi$
$920$	−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	−0.986524	−	0.163619i	$-0.947683\pi$
$929$	−6.52197	−	24.3403i	−0.213979	−	0.798580i	0.772545	−	0.634960i	$-0.218984\pi$
$930$	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	$-0.701251\pi$
$937$		−	49.3869i		−	1.61340i	0.590961	−	0.806700i	$-0.298749\pi$
$938$	−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	0.930101	−	0.367304i	$-0.119719\pi$
$941$	−1.81117	−	6.75936i	−0.0590423	−	0.220349i	−0.989143	+	0.146955i	$0.953053\pi$
$942$	−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	−0.184187	−	0.982891i	$-0.558965\pi$
$947$	24.5788	−	24.5788i	0.798704	−	0.798704i	0.982891	+	0.184187i	$0.0589653\pi$
$948$	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	−0.431465	−	0.902130i	$-0.642003\pi$
$953$	4.13885	−	2.38956i	0.134070	−	0.0774056i	0.565535	+	0.824724i	$0.308670\pi$
$954$	−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	0.986768	+	0.162140i	$0.0518395\pi$
$967$	6.63203	+	24.7511i	0.213272	+	0.795941i	−0.773496	+	0.633801i	$0.781494\pi$
$968$	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	−0.153419	−	0.988161i	$-0.549028\pi$
$971$	19.4956	−	11.2558i	0.625645	−	0.361216i	0.779063	+	0.626945i	$0.215695\pi$
$972$	−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	−0.247781	−	0.968816i	$-0.579701\pi$
$977$	14.1035	−	52.6351i	0.451212	−	1.68395i	0.698992	−	0.715129i	$-0.253632\pi$
$978$	−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	0.646300	−	0.763083i	$-0.276315\pi$
$983$	25.8495	+	6.92636i	0.824472	+	0.220916i	0.178171	+	0.984000i	$0.442982\pi$
$984$	−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	−0.990688	−	0.136152i	$-0.956526\pi$
$991$	−11.8816	+	20.5796i	−0.377433	+	0.653732i	0.613255	+	0.789885i	$0.289860\pi$
$992$	−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	−0.996608	−	0.0822979i	$-0.973774\pi$
$997$	−49.4527	−	28.5515i	−1.56618	−	0.904237i	−0.569576	−	0.821939i	$-0.692893\pi$
$998$	−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.59.19	✓	320
5.4	even	2	inner	585.2.cn.a.59.62	yes	320
9.2	odd	6		585.2.de.a.254.62	yes	320
13.2	odd	12		585.2.de.a.509.19	yes	320
45.29	odd	6		585.2.de.a.254.19	yes	320
65.54	odd	12		585.2.de.a.509.62	yes	320
117.2	even	12	inner	585.2.cn.a.119.62	yes	320
585.119	even	12	inner	585.2.cn.a.119.19	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
585.2.cn.a.59.19	✓	320	1.1	even	1	trivial
585.2.cn.a.59.62	yes	320	5.4	even	2	inner
585.2.cn.a.119.19	yes	320	585.119	even	12	inner
585.2.cn.a.119.62	yes	320	117.2	even	12	inner
585.2.de.a.254.19	yes	320	45.29	odd	6
585.2.de.a.254.62	yes	320	9.2	odd	6
585.2.de.a.509.19	yes	320	13.2	odd	12
585.2.de.a.509.62	yes	320	65.54	odd	12

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

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