LMFDB - Embedded newform 585.2.cn.a.59.62

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			59.62
Character	$\chi$	$=$	585.59
Dual form			585.2.cn.a.119.62

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.20043 + 1.20043i) q^{2} +(1.41832 - 0.994165i) q^{3} +0.882060i q^{4} +(-1.56675 + 1.59540i) q^{5} +(2.89602 + 0.509170i) q^{6} +(4.33313 - 1.16106i) q^{7} +(1.34201 - 1.34201i) q^{8} +(1.02327 - 2.82009i) q^{9} +O(q^{10})$	\(q+(1.20043 + 1.20043i) q^{2} +(1.41832 - 0.994165i) q^{3} +0.882060i q^{4} +(-1.56675 + 1.59540i) 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} +(-3.79593 + 0.0343872i) 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} +(-0.636069 + 3.82039i) q^{15} +4.98609 q^{16} +(-0.0901313 + 0.0520373i) q^{17} +(4.61369 - 2.15695i) q^{18} +(-0.546779 + 2.04061i) q^{19} +(-1.40724 - 1.38197i) q^{20} +(4.99148 - 5.95460i) q^{21} -4.56572i q^{22} +(-1.75934 + 1.01576i) q^{23} +(0.569222 - 3.23758i) q^{24} +(-0.0905820 - 4.99918i) q^{25} +(-6.11983 + 0.120007i) q^{26} +(-1.35231 - 5.01710i) q^{27} +(1.02412 + 3.82208i) q^{28} +9.70712i q^{29} +(-5.34967 + 3.82256i) 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} +(-4.93658 + 8.73214i) 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} +(0.0384428 + 4.24363i) 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} +(2.89595 + 6.05091i) 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} +(5.89242 - 6.10990i) q^{50} +(-0.0761015 + 0.163411i) q^{51} +(-2.29248 - 2.20430i) q^{52} -9.35746 q^{53} +(4.39932 - 7.64602i) q^{54} +(6.01347 - 0.0544757i) 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} +(-3.36982 - 0.561051i) q^{60} +(2.39757 - 4.15272i) q^{61} +(14.7996 + 8.54458i) q^{62} +(1.15968 - 13.4079i) q^{63} -2.04591i q^{64} +(-0.231079 - 8.05895i) 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} +(-16.4083 + 4.55630i) 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} +(-5.09848 - 7.00039i) 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} +(-7.81196 + 7.95479i) 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} +(0.0581931 - 0.225325i) q^{85} +(-13.8915 + 3.72223i) q^{86} +(9.65048 + 13.7678i) q^{87} -5.10421 q^{88} +(-4.97945 + 1.33424i) q^{89} +(-3.78730 + 10.7401i) 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	0.989987	−	0.141156i	$-0.0450819\pi$
$2$	1.20043	+	1.20043i	0.848832	+	0.848832i	−0.141156	+	0.989987i	$0.545082\pi$
$3$	1.41832	−	0.994165i	0.818868	−	0.573981i
$3$	1.41832	−	0.994165i	0.818868	−	0.573981i
$4$			0.882060i			0.441030i
$5$	−1.56675	+	1.59540i	−0.700672	+	0.713483i
$5$	−1.56675	+	1.59540i	−0.700672	+	0.713483i
$6$	2.89602	+	0.509170i	1.18229	+	0.207868i
$7$	4.33313	−	1.16106i	1.63777	−	0.438839i	0.681616	−	0.731710i	$-0.261277\pi$
$7$	4.33313	−	1.16106i	1.63777	−	0.438839i	0.956152	+	0.292871i	$0.0946108\pi$
$8$	1.34201	−	1.34201i	0.474471	−	0.474471i
$9$	1.02327	−	2.82009i	0.341091	−	0.940030i
$10$	−3.79593	+	0.0343872i	−1.20038	+	0.0108742i
$11$	−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
$15$	−0.636069	+	3.82039i	−0.164232	+	0.986422i
$16$	4.98609			1.24652
$17$	−0.0901313	+	0.0520373i	−0.0218601	+	0.0126209i	−0.510890	−	0.859646i	$-0.670684\pi$
$17$	−0.0901313	+	0.0520373i	−0.0218601	+	0.0126209i	0.489030	+	0.872267i	$0.337351\pi$
$18$	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	$0.161245\pi$
$20$	−1.40724	−	1.38197i	−0.314667	−	0.309017i
$21$	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	$-0.734599\pi$
$23$	−1.75934	+	1.01576i	−0.366848	+	0.211800i	0.305233	+	0.952278i	$0.401266\pi$
$24$	0.569222	−	3.23758i	0.116192	−	0.660867i
$25$	−0.0905820	−	4.99918i	−0.0181164	−	0.999836i
$26$	−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	$0.642626\pi$
$30$	−5.34967	+	3.82256i	−0.976711	+	0.697900i
$31$	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
$35$	−4.93658	+	8.73214i	−0.834435	+	1.47600i
$36$	2.48749	+	0.902587i	0.414581	+	0.150431i
$37$	−7.96334	+	2.13377i	−1.30917	+	0.350790i	−0.844909	−	0.534911i	$-0.820345\pi$
$37$	−7.96334	+	2.13377i	−1.30917	+	0.350790i	−0.464257	+	0.885700i	$0.653679\pi$
$38$	−3.10597	+	1.79324i	−0.503856	+	0.290901i
$39$	−0.960595	+	6.17068i	−0.153818	+	0.988099i
$40$	0.0384428	+	4.24363i	0.00607834	+	0.670976i
$41$	−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	$0.390200\pi$
$43$	−4.23570	+	7.33645i	−0.645938	+	1.11880i	−0.984084	+	0.177704i	$0.943133\pi$
$44$	1.67742	−	1.67742i	0.252880	−	0.252880i
$45$	2.89595	+	6.05091i	0.431703	+	0.902016i
$46$	−3.33131	−	0.892620i	−0.491174	−	0.131610i
$47$	−0.505861	−	0.135545i	−0.0737874	−	0.0197713i	0.221736	−	0.975107i	$-0.428828\pi$
$47$	−0.505861	−	0.135545i	−0.0737874	−	0.0197713i	−0.295524	+	0.955335i	$0.595494\pi$
$48$	7.07188	−	4.95700i	1.02074	−	0.715481i
$49$	11.3658	−	6.56202i	1.62368	−	0.937432i
$50$	5.89242	−	6.10990i	0.833314	−	0.864070i
$51$	−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	$-0.722175\pi$
$53$	−9.35746			−1.28535			−0.642673	+	0.766141i	$0.722175\pi$
$54$	4.39932	−	7.64602i	0.598672	−	1.04049i
$55$	6.01347	−	0.0544757i	0.810856	−	0.00734550i
$56$	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	$0.843348\pi$
$60$	−3.36982	−	0.561051i	−0.435041	−	0.0724314i
$61$	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
$65$	−0.231079	−	8.05895i	−0.0286618	−	0.999589i
$66$	−4.53908	−	6.47566i	−0.558722	−	0.797099i
$67$	0.726788	+	0.194742i	0.0887913	+	0.0237916i	0.302941	−	0.953009i	$-0.402031\pi$
$67$	0.726788	+	0.194742i	0.0887913	+	0.0237916i	−0.214150	+	0.976801i	$0.568698\pi$
$68$	−0.0459000	−	0.0795012i	−0.00556620	−	0.00964094i
$69$	−1.48548	+	3.18974i	−0.178831	+	0.384000i
$70$	−16.4083	+	4.55630i	−1.96117	+	0.544582i
$71$	−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	0.514179	−	0.857683i	$-0.328097\pi$
$73$	−2.93490	−	2.93490i	−0.343504	−	0.343504i	−0.857683	+	0.514179i	$0.828097\pi$
$74$	−12.1209	−	6.99799i	−1.40902	−	0.813500i
$75$	−5.09848	−	7.00039i	−0.588722	−	0.808335i
$76$	−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	$0.567270\pi$
$80$	−7.81196	+	7.95479i	−0.873404	+	0.889373i
$81$	−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	$-0.983665\pi$
$83$	−0.985305	+	3.67721i	−0.108151	+	0.403626i	0.890532	+	0.454920i	$0.150332\pi$
$84$	5.25231	+	4.40279i	0.573074	+	0.480383i
$85$	0.0581931	−	0.225325i	0.00631193	−	0.0244399i
$86$	−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	$0.504755\pi$
$90$	−3.78730	+	10.7401i	−0.399216	+	1.13210i
$91$	−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	$-0.920468\pi$
$97$	−2.49617	−	9.31582i	−0.253447	−	0.945878i	0.715501	−	0.698612i	$-0.246199\pi$
$98$	21.5210	+	5.76654i	2.17395	+	0.582509i
$99$	−7.30894	+	3.41702i	−0.734576	+	0.343423i
$100$	4.40957	−	0.0798988i	0.440957	−	0.00798988i
$101$	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	$-0.698706\pi$
$103$	4.16558	−	7.21499i	0.410446	−	0.710914i	0.994939	+	0.100485i	$0.0320396\pi$
$104$	0.134161	+	6.84161i	0.0131556	+	0.670875i
$105$	1.67953	+	17.2928i	0.163905	+	1.68760i
$106$	−11.2330	−	11.2330i	−1.09104	−	1.09104i
$107$	−1.27342	+	2.20562i	−0.123106	+	0.213225i	−0.920991	−	0.389584i	$-0.872619\pi$
$107$	−1.27342	+	2.20562i	−0.123106	+	0.213225i	0.797885	+	0.602809i	$0.205952\pi$
$108$	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	$-0.595739\pi$
$110$	7.28414	+	7.15335i	0.694515	+	0.682045i
$111$	−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	$-0.572700\pi$
$113$	−4.81361			−0.452827			−0.226413	+	0.974031i	$0.572700\pi$
$114$	−2.62250	+	5.63123i	−0.245620	+	0.527413i
$115$	1.13591	−	4.39828i	0.105925	−	0.410142i
$116$	−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
$120$	4.27339	+	5.98061i	0.390105	+	0.545953i
$121$		−	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
$125$	8.11759	+	7.68796i	0.726060	+	0.687632i
$126$	17.4873	−	14.7031i	1.55790	−	1.30986i
$127$	−5.91628	+	10.2473i	−0.524985	+	0.909301i	0.474591	+	0.880206i	$0.342596\pi$
$127$	−5.91628	+	10.2473i	−0.524985	+	0.909301i	−0.999577	+	0.0290948i	$0.990738\pi$
$128$	9.05883	−	9.05883i	0.800695	−	0.800695i
$129$	1.28605	+	14.6164i	0.113231	+	1.28690i
$130$	9.39680	−	9.95159i	0.824154	−	0.872812i
$131$	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
$135$	10.1230	+	5.70308i	0.871248	+	0.490843i
$136$	−0.0511224	+	0.190791i	−0.00438371	+	0.0163602i
$137$	−1.71779	−	6.41087i	−0.146760	−	0.547717i	−0.999671	−	0.0256598i	$-0.991831\pi$
$137$	−1.71779	−	6.41087i	−0.146760	−	0.547717i	0.852910	−	0.522057i	$-0.174835\pi$
$138$	−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	$0.556436\pi$
$140$	−7.70227	−	4.35436i	−0.650961	−	0.368011i
$141$	−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
$145$	−15.4867	−	15.2086i	−1.28610	−	1.26301i
$146$		−	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	$0.346143\pi$
$150$	2.28311	−	14.5238i	0.186415	−	1.18587i
$151$	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
$155$	−11.0774	+	19.5944i	−0.889758	+	1.57386i
$156$	−5.44291	−	0.847302i	−0.435781	−	0.0678385i
$157$	5.34775	+	3.08753i	0.426797	+	0.246411i	0.697981	−	0.716116i	$-0.254082\pi$
$157$	5.34775	+	3.08753i	0.426797	+	0.246411i	−0.271184	+	0.962528i	$0.587415\pi$
$158$	−5.79458	+	21.6257i	−0.460992	+	1.72045i
$159$	−13.2719	+	9.30286i	−1.05253	+	0.737765i
$160$	−10.4396	+	0.0945719i	−0.825324	+	0.00747657i
$161$	−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	$-0.803270\pi$
$163$	2.30486	−	8.60187i	0.180531	−	0.673751i	0.995543	−	0.0943068i	$-0.0300635\pi$
$164$	0.964887	−	3.60101i	0.0753450	−	0.281192i
$165$	8.47488	−	6.05565i	0.659768	−	0.471431i
$166$	−5.59702	+	3.23144i	−0.434413	+	0.250808i
$167$	−15.7776	−	4.22759i	−1.22090	−	0.327140i	−0.409873	−	0.912143i	$-0.634427\pi$
$167$	−15.7776	−	4.22759i	−1.22090	−	0.327140i	−0.811032	+	0.585002i	$0.801094\pi$
$168$	−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	$-0.222898\pi$
$173$	7.74627	+	4.47231i	0.588938	+	0.340023i	−0.175740	+	0.984437i	$0.556232\pi$
$174$	−4.94258	+	28.1120i	−0.374696	+	2.13117i
$175$	−6.19684	−	21.5569i	−0.468437	−	1.62955i
$176$	−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	$0.0912428\pi$
$180$	−5.33726	+	2.55440i	−0.397816	+	0.190394i
$181$			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
$185$	9.07237	−	16.0478i	0.667014	−	1.17986i
$186$	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
$190$	2.00537	−	7.76481i	0.145485	−	0.563319i
$191$	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	$0.394213\pi$
$193$	−5.95889	+	22.2389i	−0.428931	+	1.60079i	−0.755187	+	0.655509i	$0.772454\pi$
$194$	8.18651	−	14.1794i	0.587757	−	1.01802i
$195$	−8.33966	−	11.2004i	−0.597216	−	0.802081i
$196$	5.78809	+	10.0253i	0.413435	+	0.716091i
$197$	16.0023	−	4.28780i	1.14012	−	0.305493i	0.361118	−	0.932520i	$-0.382395\pi$
$197$	16.0023	−	4.28780i	1.14012	−	0.305493i	0.778998	+	0.627027i	$0.215728\pi$
$198$	−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	$0.143628\pi$
$200$	−6.83050	−	6.58738i	−0.482989	−	0.465798i
$201$	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
$210$	−18.7426	+	22.7749i	−1.29336	+	1.57162i
$211$	−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
$215$	−5.06826	−	18.2520i	−0.345652	−	1.24478i
$216$	−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
$220$	0.0480508	+	5.30424i	0.00323959	+	0.357612i
$221$	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	$-0.844399\pi$
$223$	−6.17162	+	6.17162i	−0.413282	+	0.413282i	0.469598	+	0.882880i	$0.344399\pi$
$224$	18.1387	+	10.4724i	1.21194	+	0.699715i
$225$	−14.1908	−	4.86007i	−0.946055	−	0.324005i
$226$	−5.77840	−	5.77840i	−0.384374	−	0.384374i
$227$	26.5316	−	7.10911i	1.76096	−	0.471848i	0.774052	−	0.633121i	$-0.218227\pi$
$227$	26.5316	−	7.10911i	1.76096	−	0.471848i	0.986910	+	0.161273i	$0.0515600\pi$
$228$	−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	$0.130225\pi$
$233$			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	0.977181	−	0.212408i	$-0.0681306\pi$
$239$	0.382059	+	1.42586i	0.0247133	+	0.0922314i	−0.952468	+	0.304640i	$0.901464\pi$
$240$	−3.17150	+	19.0488i	−0.204719	+	1.22960i
$241$	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
$245$	−7.33828	+	28.4139i	−0.468825	+	1.81530i
$246$	−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
$255$	−0.141473	−	0.377437i	−0.00885941	−	0.0236360i
$256$	17.6572			1.10357
$257$	21.7745	−	12.5715i	1.35826	−	0.784190i	0.368869	−	0.929481i	$-0.379745\pi$
$257$	21.7745	−	12.5715i	1.35826	−	0.784190i	0.989389	+	0.145291i	$0.0464119\pi$
$258$	−16.0022	+	19.0898i	−0.996251	+	1.18848i
$259$	−32.0287	+	18.4918i	−1.99017	+	1.14902i
$260$	7.10847	−	0.203826i	0.440849	−	0.0126407i
$261$	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	$-0.244371\pi$
$263$	23.3367			1.43900			0.719500	+	0.694492i	$0.244371\pi$
$264$	−7.23940	+	5.07442i	−0.445555	+	0.312309i
$265$	14.6608	−	14.9289i	0.900606	−	0.917073i
$266$	−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	$-0.0194058\pi$
$270$	5.30579	+	18.9981i	0.322900	+	1.15619i
$271$	−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
$275$	−9.33470	+	9.67922i	−0.562904	+	0.583679i
$276$	−2.81354	−	1.31028i	−0.169355	−	0.0788698i
$277$	2.65989	−	4.60707i	0.159817	−	0.276812i	−0.774985	−	0.631979i	$-0.782243\pi$
$277$	2.65989	−	4.60707i	0.159817	−	0.276812i	0.934803	+	0.355167i	$0.115576\pi$
$278$	−4.99228	−	4.99228i	−0.299417	−	0.299417i
$279$	2.60225	−	30.0865i	0.155793	−	1.80123i
$280$	5.09367	+	18.3435i	0.304405	+	1.09624i
$281$	−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	$-0.896538\pi$
$283$	−12.6233	−	21.8642i	−0.750378	−	1.29969i	0.197261	−	0.980351i	$-0.436795\pi$
$284$	0.548480	−	2.04696i	0.0325463	−	0.121464i
$285$	−7.44814	−	3.38688i	−0.441190	−	0.200621i
$286$	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
$290$	−0.333800	−	36.8476i	−0.0196014	−	2.16377i
$291$	−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	$-0.898174\pi$
$293$	−10.8660	+	10.8660i	−0.634800	+	0.634800i	0.314468	+	0.949268i	$0.398174\pi$
$294$	36.2566	−	13.2166i	2.11453	−	0.770810i
$295$	9.92972	−	0.0899528i	0.578130	−	0.00523725i
$296$	−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
$300$	6.17476	−	4.49717i	0.356500	−	0.259644i
$301$	−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
$305$	2.86883	+	10.3314i	0.164269	+	0.591572i
$306$	−0.303595	+	0.434493i	−0.0173554	+	0.0248383i
$307$	1.67824	+	1.67824i	0.0957823	+	0.0957823i	0.753374	−	0.657592i	$-0.228425\pi$
$307$	1.67824	+	1.67824i	0.0957823	+	0.0957823i	−0.657592	+	0.753374i	$0.728425\pi$
$308$	5.32088	−	9.21604i	0.303185	−	0.525133i
$309$	−1.26476	−	14.3744i	−0.0719498	−	0.817733i
$310$	−36.8193	+	10.2241i	−2.09120	+	0.580688i
$311$	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	0.0695783	−	0.997576i	$-0.477835\pi$
$313$	17.1309	−	9.89051i	0.968294	−	0.559045i	0.898716	+	0.438532i	$0.144501\pi$
$314$	2.71324	+	10.1260i	0.153117	+	0.571441i
$315$	19.5740	+	22.8570i	1.10287	+	1.28784i
$316$	−10.0740	+	5.81624i	−0.566708	+	0.327189i
$317$	2.25375	−	8.41111i	0.126583	−	0.472415i	−0.873308	−	0.487169i	$-0.838030\pi$
$317$	2.25375	−	8.41111i	0.126583	−	0.472415i	0.999891	+	0.0147535i	$0.00469635\pi$
$318$	−27.0994	−	4.76454i	−1.51966	−	0.267182i
$319$	18.4601	−	18.4601i	1.03357	−	1.03357i
$320$	3.26404	+	3.20543i	0.182465	+	0.179189i
$321$	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
$325$	13.2193	+	12.2577i	0.733273	+	0.679935i
$326$	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
$330$	17.4429	+	2.90412i	0.960198	+	0.159866i
$331$	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	$0.537665\pi$
$337$	−16.8705	+	29.2206i	−0.918996	+	1.59175i	−0.800944	+	0.598740i	$0.795668\pi$
$338$	14.9818	−	16.2054i	0.814901	−	0.881457i
$339$	−6.82725	+	4.78553i	−0.370805	+	0.259914i
$340$	0.198750	+	0.0513298i	0.0107787	+	0.00278375i
$341$	−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
$345$	−2.76152	−	7.36746i	−0.148675	−	0.396651i
$346$	3.93015	+	14.6675i	0.211286	+	0.788531i
$347$	−31.8498			−1.70979			−0.854894	−	0.518803i	$-0.826378\pi$
$347$	−31.8498			−1.70979			−0.854894	+	0.518803i	$0.826378\pi$
$348$	−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	0.857955	−	0.513725i	$-0.171735\pi$
$353$	6.46749	+	6.46749i	0.344230	+	0.344230i	−0.513725	+	0.857955i	$0.671735\pi$
$354$	−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	$0.760984\pi$
$360$	12.0068	+	4.23397i	0.632811	+	0.223150i
$361$	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
$365$	9.28058	−	0.0840723i	0.485768	−	0.00440055i
$366$	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
$370$	30.1550	−	8.37349i	1.56768	−	0.435317i
$371$	−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
$375$	19.1565	+	2.83377i	0.989235	+	0.146335i
$376$	−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	0.186381	−	0.982478i	$-0.440324\pi$
$383$	−15.5799	−	15.5799i	−0.796097	−	0.796097i	−0.982478	+	0.186381i	$0.940324\pi$
$384$	3.84237	−	21.8543i	0.196080	−	1.11525i
$385$	25.9939	−	7.21804i	1.32477	−	0.367865i
$386$	−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	$-0.357837\pi$
$390$	3.43416	−	23.4565i	0.173896	−	1.18777i
$391$	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
$395$	−28.5521	−	7.37396i	−1.43661	−	0.371024i
$396$	−3.01401	−	6.44692i	−0.151460	−	0.323970i
$397$	3.06064	−	11.4225i	0.153609	−	0.573276i	−0.845612	−	0.533799i	$-0.820764\pi$
$397$	3.06064	−	11.4225i	0.153609	−	0.573276i	0.999220	−	0.0394776i	$-0.0125694\pi$
$398$	25.9693	+	6.95845i	1.30172	+	0.348795i
$399$	9.42175	+	13.4415i	0.471678	+	0.672917i
$400$	−0.451650	−	24.9264i	−0.0225825	−	1.24632i
$401$	−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
$405$	20.0275	−	1.97512i	0.995172	−	0.0981445i
$406$	−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	$0.827282\pi$
$410$	15.5345	+	4.01200i	0.767195	+	0.198138i
$411$	−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	$0.0136861\pi$
$420$	−15.2533	+	1.48145i	−0.744283	+	0.0722871i
$421$	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
$425$	0.268308	+	0.445869i	0.0130149	+	0.0216278i
$426$	−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
$430$	15.8262	−	27.9943i	0.763205	−	1.35001i
$431$	−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	0.967422	−	0.253170i	$-0.0814731\pi$
$433$	5.50304	+	9.53155i	0.264459	+	0.458057i	−0.702962	+	0.711227i	$0.748140\pi$
$434$	74.0495	+	19.8415i	3.55449	+	0.952422i
$435$	−37.0850	−	6.17440i	−1.77809	−	0.296040i
$436$	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	$0.874280\pi$
$440$	7.99702	−	8.14323i	0.381243	−	0.388213i
$441$	−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	$-0.183193\pi$
$443$	−1.09228	−	1.89189i	−0.0518960	−	0.0898865i	−0.890806	+	0.454383i	$0.849860\pi$
$444$	−9.65260	−	8.09137i	−0.458092	−	0.383999i
$445$	5.67292	−	10.0346i	0.268922	−	0.475687i
$446$	−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	$-0.127327\pi$
$450$	−11.2009	−	22.8693i	−0.528016	−	1.07807i
$451$	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
$455$	−10.3582	−	34.6521i	−0.485600	−	1.62452i
$456$	6.29538	+	2.93180i	0.294808	+	0.137294i
$457$	1.09040	−	1.09040i	0.0510068	−	0.0510068i	−0.681143	−	0.732150i	$-0.738517\pi$
$457$	1.09040	−	1.09040i	0.0510068	−	0.0510068i	0.732150	+	0.681143i	$0.238517\pi$
$458$	5.80342	−	10.0518i	0.271176	−	0.469691i
$459$	0.382962	+	0.381827i	0.0178751	+	0.0178222i
$460$	3.87955	+	1.00194i	0.180885	+	0.0467159i
$461$	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	−0.0485787	−	0.998819i	$-0.515469\pi$
$463$	8.79548	−	2.35674i	0.408761	−	0.109527i	0.457339	+	0.889292i	$0.348802\pi$
$464$			48.4006i			2.24694i
$465$	3.76876	+	38.8039i	0.174772	+	1.79949i
$466$	−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
$470$	1.92488	+	0.497125i	0.0887879	+	0.0229307i
$471$	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
$475$	10.2509	+	2.54860i	0.470343	+	0.116938i
$476$	−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	$0.966042\pi$
$480$	−14.7127	+	10.5128i	−0.671540	+	0.479843i
$481$	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
$485$	18.7733	+	10.6132i	0.852451	+	0.481920i
$486$	−17.0608	−	20.2304i	−0.773892	−	0.917672i
$487$	−9.62058	−	2.57783i	−0.435950	−	0.116813i	0.0341677	−	0.999416i	$-0.489122\pi$
$487$	−9.62058	−	2.57783i	−0.435950	−	0.116813i	−0.470118	+	0.882604i	$0.655789\pi$
$488$	−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
$495$	5.99979	−	17.0143i	0.269671	−	0.764735i
$496$	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	$0.204462\pi$
$500$	−6.78124	+	7.16020i	−0.303266	+	0.320214i
$501$	−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	$-0.212134\pi$
$503$	−3.19268	−	5.52988i	−0.142354	−	0.246565i	−0.928383	+	0.371625i	$0.878801\pi$
$504$	−16.4372	−	19.5498i	−0.732171	−	0.870817i
$505$	−10.1217	+	10.3068i	−0.450411	+	0.458646i
$506$	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	$0.639557\pi$
$510$	0.283257	−	0.622915i	0.0125428	−	0.0275831i
$511$	−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
$515$	4.98435	+	17.9498i	0.219637	+	0.790964i
$516$	−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
$520$	−11.1253	−	10.5051i	−0.487876	−	0.460677i
$521$		−	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	−0.380393	−	0.924825i	$-0.624211\pi$
$523$	−31.3653	−	18.1088i	−1.37151	−	0.791842i	−0.991118	+	0.132983i	$0.957544\pi$
$524$	−4.98020	+	8.62596i	−0.217561	+	0.376827i
$525$	−30.2202	−	24.4139i	−1.31892	−	1.06551i
$526$	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
$530$	35.5203	−	0.321777i	1.54290	−	0.0139771i
$531$	−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
$535$	−1.52371	−	5.48726i	−0.0658759	−	0.237235i
$536$	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
$540$	−5.03046	+	8.92908i	−0.216476	+	0.384246i
$541$	−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
$545$	41.3123	−	0.374246i	1.76963	−	0.0160310i
$546$	−29.8325	+	37.0402i	−1.27671	+	1.58517i
$547$	0.172437	−	0.0995565i	0.00737287	−	0.00425673i	−0.496309	−	0.868146i	$-0.665312\pi$
$547$	0.172437	−	0.0995565i	0.00737287	−	0.00425673i	0.503682	+	0.863889i	$0.331978\pi$
$548$	5.65477	−	1.51519i	0.241560	−	0.0647257i
$549$	−9.25767	−	11.0107i	−0.395108	−	0.469927i
$550$	−22.8249	+	0.413572i	−0.973256	+	0.0176348i
$551$	−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
$555$	−3.08661	−	31.7803i	−0.131019	−	1.34900i
$556$		−	3.66826i		−	0.155569i
$557$	−8.76308	−	32.7042i	−0.371303	−	1.38572i	−0.858671	−	0.512527i	$-0.828710\pi$
$557$	−8.76308	−	32.7042i	−0.371303	−	1.38572i	0.487368	−	0.873197i	$-0.337957\pi$
$558$	39.2405	−	32.9929i	1.66118	−	1.39670i
$559$	−8.48230	−	29.3426i	−0.358763	−	1.24106i
$560$	−24.6142	+	43.5393i	−1.04014	+	1.83987i
$561$	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
$565$	7.54173	−	7.67962i	0.317283	−	0.323084i
$566$	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	$0.702963\pi$
$570$	−4.87525	−	13.0067i	−0.204202	−	0.544789i
$571$	−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
$575$	5.23731	+	8.70325i	0.218411	+	0.362950i
$576$	−5.76966	−	2.09353i	−0.240402	−	0.0872302i
$577$	−5.93785	+	5.93785i	−0.247196	+	0.247196i	−0.819819	−	0.572623i	$-0.805926\pi$
$577$	−5.93785	+	5.93785i	−0.247196	+	0.247196i	0.572623	+	0.819819i	$0.305926\pi$
$578$	−27.8591	+	7.46483i	−1.15879	+	0.310496i
$579$	13.6575	+	37.4660i	0.567586	+	1.55704i
$580$	13.4149	−	13.6602i	0.557025	−	0.567209i
$581$			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
$585$	−22.9634	−	7.59483i	−0.949420	−	0.314008i
$586$	−26.0878			−1.07768
$587$	−7.23317	−	7.23317i	−0.298545	−	0.298545i	0.541899	−	0.840444i	$-0.317706\pi$
$587$	−7.23317	−	7.23317i	−0.298545	−	0.298545i	−0.840444	+	0.541899i	$0.817706\pi$
$588$	18.1762	+	8.46474i	0.749572	+	0.349080i
$589$			21.2659i			0.876248i
$590$	12.0279	+	11.8119i	0.495181	+	0.486290i
$591$	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	$-0.952537\pi$
$593$	−20.4637	+	20.4637i	−0.840345	+	0.840345i	0.148559	+	0.988904i	$0.452537\pi$
$594$	−22.9067	+	6.17425i	−0.939872	+	0.253333i
$595$	−0.00945687	−	1.04393i	−0.000387694	−	0.0427968i
$596$	−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	$0.911399\pi$
$600$	−16.2368	−	2.55238i	−0.662864	−	0.104200i
$601$	−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
$605$	6.00992	+	5.90201i	0.244338	+	0.239951i
$606$	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
$610$	−8.95823	+	15.8459i	−0.362708	+	0.641581i
$611$	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	$-0.0540938\pi$
$613$	1.17561	+	4.38745i	0.0474826	+	0.177208i	−0.938112	+	0.346332i	$0.887427\pi$
$614$			4.02922i			0.162606i
$615$	6.77589	−	14.9010i	0.273230	−	0.600865i
$616$	−22.1172	+	5.92628i	−0.891126	+	0.238777i
$617$	12.0620	+	12.0620i	0.485599	+	0.485599i	0.906914	−	0.421315i	$-0.138431\pi$
$617$	12.0620	+	12.0620i	0.485599	+	0.485599i	−0.421315	+	0.906914i	$0.638431\pi$
$618$	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	$0.687599\pi$
$620$	−17.2834	−	9.77093i	−0.694120	−	0.392410i
$621$	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
$625$	−24.9836	+	0.905672i	−0.999344	+	0.0362269i
$626$	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
$630$	−3.94101	+	50.9353i	−0.157014	+	2.02931i
$631$	−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
$635$	−7.07917	−	25.4938i	−0.280928	−	1.01169i
$636$	−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
$640$	0.259497	+	28.6454i	0.0102575	+	1.13231i
$641$	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	$-0.488836\pi$
$643$	26.2311	−	26.2311i	1.03445	−	1.03445i	0.999385	−	0.0350671i	$-0.0111645\pi$
$644$	−5.68407	−	5.68407i	−0.223984	−	0.223984i
$645$	−25.3339	−	20.8485i	−0.997522	−	0.820910i
$646$	0.186630	−	0.323253i	0.00734287	−	0.0127182i
$647$	−6.82805	−	3.94218i	−0.268438	−	0.154983i	0.359739	−	0.933053i	$-0.382866\pi$
$647$	−6.82805	−	3.94218i	−0.268438	−	0.154983i	−0.628178	+	0.778070i	$0.716199\pi$
$648$	−17.0130	+	1.52235i	−0.668334	+	0.0598037i
$649$			11.9434i			0.468819i
$650$	1.15429	+	30.5833i	0.0452748	+	1.19957i
$651$	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	$-0.899144\pi$
$653$	−19.0361	−	32.9715i	−0.744941	−	1.29027i	0.205282	−	0.978703i	$-0.434189\pi$
$654$	−31.1833	−	44.4876i	−1.21936	−	1.73960i
$655$	−24.3296	+	6.75589i	−0.950635	+	0.263974i
$656$	−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	$0.565551\pi$
$660$	5.34144	+	7.47535i	0.207915	+	0.290978i
$661$	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
$665$	−15.1197	−	14.8482i	−0.586315	−	0.575788i
$666$	−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
$670$	−2.76554	−	0.714237i	−0.106842	−	0.0275934i
$671$	−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	$-0.638147\pi$
$673$	−21.8177			−0.841010			−0.420505	+	0.907290i	$0.638147\pi$
$674$	−55.3291	+	14.8254i	−2.13120	+	0.571053i
$675$	−24.9589	+	7.21488i	−0.960668	+	0.277701i
$676$	11.4580	−	0.449544i	0.440691	−	0.0172902i
$677$	−0.748994	−	1.29730i	−0.0287862	−	0.0498591i	0.851273	−	0.524722i	$-0.175831\pi$
$677$	−0.748994	−	1.29730i	−0.0287862	−	0.0498591i	−0.880060	+	0.474863i	$0.842498\pi$
$678$	−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	$-0.240526\pi$
$683$	26.5337	+	7.10968i	1.01528	+	0.272045i	0.287448	+	0.957796i	$0.407193\pi$
$684$	−3.20193	+	4.58247i	−0.122429	+	0.175215i
$685$	12.9192	+	7.30368i	0.493618	+	0.279059i
$686$	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
$690$	5.52910	−	12.1591i	0.210489	−	0.462890i
$691$	−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
$695$	6.51572	−	6.63485i	0.247155	−	0.251674i
$696$	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
$700$	19.0145	−	5.46598i	0.718680	−	0.206595i
$701$	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
$705$	0.839598	−	1.84637i	0.0316211	−	0.0695384i
$706$			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	$0.708147\pi$
$710$	8.83043	+	2.28058i	0.331400	+	0.0855885i
$711$	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
$715$	−14.8863	+	15.7652i	−0.556716	+	0.589584i
$716$	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	$0.651875\pi$
$720$	14.4395	+	30.1704i	0.538127	+	1.12438i
$721$	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
$725$	48.5277	−	0.879291i	1.80227	−	0.0326560i
$726$	1.91806	−	10.9094i	0.0711860	−	0.404886i
$727$	17.0414	+	29.5166i	0.632032	+	1.09471i	0.987136	+	0.159885i	$0.0511123\pi$
$727$	17.0414	+	29.5166i	0.632032	+	1.09471i	−0.355104	+	0.934827i	$0.615554\pi$
$728$	8.52484	+	29.4898i	0.315952	+	1.09296i
$729$	−23.3425	+	13.5693i	−0.864538	+	0.502567i
$730$	11.2416	+	11.0398i	0.416070	+	0.408600i
$731$		−	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	$-0.960098\pi$
$733$	−5.29125	−	19.7472i	−0.195437	−	0.729381i	0.796716	−	0.604353i	$-0.206568\pi$
$734$	−6.73445	+	6.73445i	−0.248573	+	0.248573i
$735$	17.8401	+	47.5956i	0.658042	+	1.75559i
$736$	−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	$-0.271346\pi$
$740$	14.1551	+	8.00237i	0.520352	+	0.294173i
$741$	−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	$-0.904233\pi$
$743$	0.551032	−	2.05648i	0.0202154	−	0.0754449i	0.975297	+	0.220899i	$0.0708992\pi$
$744$	−2.90030	−	32.9629i	−0.106330	−	1.20848i
$745$	−0.147100	−	16.2380i	−0.00538931	−	0.594916i
$746$	−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
$750$	19.5942	+	26.3977i	0.715480	+	0.963908i
$751$	−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	0.999740	−	0.0228159i	$-0.00726315\pi$
$757$	40.7161	+	23.5074i	1.47985	+	0.854392i	0.480111	+	0.877208i	$0.340596\pi$
$758$	−36.1294	−	20.8593i	−1.31228	−	0.757646i
$759$	8.89089	−	3.24100i	0.322719	−	0.117641i
$760$	−8.68060	−	2.24188i	−0.314878	−	0.0813216i
$761$	−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
$765$	−0.575889	−	0.394679i	−0.0208213	−	0.0142696i
$766$		−	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	$0.143700\pi$
$770$	39.8686	+	22.5391i	1.43676	+	0.812252i
$771$	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	$-0.939067\pi$
$773$	−1.01194	+	3.77661i	−0.0363970	+	0.135835i	0.945337	+	0.326096i	$0.105733\pi$
$774$	−3.71781	+	42.9843i	−0.133634	+	1.54504i
$775$	−13.9053	−	48.3724i	−0.499495	−	1.73759i
$776$	−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
$780$	9.87946	−	7.35608i	0.353742	−	0.263390i
$781$	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
$785$	−13.3044	+	3.69440i	−0.474855	+	0.131859i
$786$	25.4463	+	21.3306i	0.907640	+	0.760836i
$787$	−17.6976	−	17.6976i	−0.630850	−	0.630850i	0.317431	−	0.948281i	$-0.397180\pi$
$787$	−17.6976	−	17.6976i	−0.630850	−	0.630850i	−0.948281	+	0.317431i	$0.897180\pi$
$788$	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
$795$	5.95199	−	35.7492i	0.211095	−	1.26789i
$796$	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
$800$	16.2054	−	16.8035i	0.572947	−	0.594093i
$801$	−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
$805$	−0.184596	−	20.3772i	−0.00650614	−	0.718201i
$806$	−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	$0.281841\pi$
$810$	26.4125	+	21.6705i	0.928042	+	0.761425i
$811$	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	$-0.535861\pi$
$823$	−6.45042			−0.224848			−0.112424	+	0.993660i	$0.535861\pi$
$824$	−4.09234	−	15.2728i	−0.142563	−	0.532053i
$825$	−3.61687	+	23.0085i	−0.125923	+	0.801053i
$826$	−8.75336	−	32.6680i	−0.304569	−	1.13667i
$827$	−22.0279	+	22.0279i	−0.765985	+	0.765985i	−0.977397	−	0.211412i	$-0.932194\pi$
$827$	−22.0279	+	22.0279i	−0.765985	+	0.765985i	0.211412	+	0.977397i	$0.432194\pi$
$828$	−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	$0.765704\pi$
$830$	3.61370	−	13.9923i	0.125434	−	0.485681i
$831$	−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	$0.383883\pi$
$840$	25.4610	+	20.9531i	0.878487	+	0.722950i
$841$	−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
$845$	21.5227	+	19.5390i	0.740404	+	0.672162i
$846$	−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
$850$	−0.213149	+	0.857319i	−0.00731095	+	0.0294058i
$851$	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	$-0.786009\pi$
$853$	6.03284	−	22.5149i	0.206561	−	0.770895i	0.988968	−	0.148128i	$-0.0473247\pi$
$854$	31.6258	−	18.2592i	1.08221	−	0.624816i
$855$	−13.9310	+	2.60099i	−0.476429	+	0.0889520i
$856$	1.25103	+	4.66889i	0.0427592	+	0.159579i
$857$	0.969835	−	0.559935i	0.0331289	−	0.0191270i	−0.483344	−	0.875430i	$-0.660578\pi$
$857$	0.969835	−	0.559935i	0.0331289	−	0.0191270i	0.516473	+	0.856303i	$0.327245\pi$
$858$	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	$0.964153\pi$
$860$	16.0994	−	4.47051i	0.548984	−	0.152443i
$861$	−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	$-0.0859985\pi$
$863$	20.4706	+	20.4706i	0.696827	+	0.696827i	−0.266898	+	0.963725i	$0.585999\pi$
$864$	12.0991	−	21.0281i	0.411618	−	0.715392i
$865$	−19.2716	+	5.35137i	−0.655253	+	0.181952i
$866$	−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
$870$	−37.1060	−	51.9299i	−1.25801	−	1.76059i
$871$	−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
$875$	44.1007	+	23.8879i	1.49088	+	0.807558i
$876$	1.09804	−	6.24534i	0.0370993	−	0.211010i
$877$	18.9430	−	18.9430i	0.639659	−	0.639659i	−0.310812	−	0.950471i	$-0.600601\pi$
$877$	18.9430	−	18.9430i	0.639659	−	0.639659i	0.950471	+	0.310812i	$0.100601\pi$
$878$	−19.3554	+	19.3554i	−0.653212	+	0.653212i
$879$	−4.60890	+	26.2141i	−0.155454	+	0.884181i
$880$	29.9837	−	0.271621i	1.01075	−	0.00915634i
$881$	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	$-0.279046\pi$
$883$	38.0196			1.27946			0.639730	+	0.768600i	$0.279046\pi$
$884$	0.321330	+	0.0793818i	0.0108075	+	0.00266990i
$885$	13.9941	−	9.99936i	0.470407	−	0.336125i
$886$	0.959872	−	3.58229i	0.0322475	−	0.120349i
$887$	16.7407	+	28.9958i	0.562098	+	0.973583i	0.997313	+	0.0732564i	$0.0233392\pi$
$887$	16.7407	+	28.9958i	0.562098	+	0.973583i	−0.435215	+	0.900327i	$0.643328\pi$
$888$	2.37534	+	26.9965i	0.0797112	+	0.905944i
$889$	−13.7383	+	51.2720i	−0.460768	+	1.71961i
$890$	18.8558	−	5.23592i	0.632048	−	0.175508i
$891$	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
$895$	3.75792	+	13.5332i	0.125613	+	0.452364i
$896$	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
$900$	4.28687	−	12.5172i	0.142896	−	0.417239i
$901$	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
$905$	−28.0272	−	27.5239i	−0.931655	−	0.914927i
$906$	29.5674	+	13.7697i	0.982313	+	0.457469i
$907$	−5.41061			−0.179656			−0.0898282	−	0.995957i	$-0.528632\pi$
$907$	−5.41061			−0.179656			−0.0898282	+	0.995957i	$0.528632\pi$
$908$	6.27066	+	23.4024i	0.208099	+	0.776637i
$909$	6.61068	−	18.2187i	0.219262	−	0.604277i
$910$	29.1631	−	54.0317i	0.966749	−	1.79113i
$911$	−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
$915$	14.3400	+	11.8011i	0.474066	+	0.390132i
$916$	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
$925$	11.3884	+	39.6169i	0.374450	+	1.30260i
$926$	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	$-0.218984\pi$
$930$	−42.0573	+	51.1055i	−1.37911	+	1.67582i
$931$	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	0.930101	−	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
$945$	50.4858	+	12.9588i	1.64230	+	0.421549i
$946$	33.4962	+	19.3390i	1.08905	+	0.628766i
$947$	−24.5788	+	24.5788i	−0.798704	+	0.798704i	−0.982891	−	0.184187i	$-0.941035\pi$
$947$	−24.5788	+	24.5788i	−0.798704	+	0.798704i	0.184187	+	0.982891i	$0.441035\pi$
$948$	−8.50591	+	18.2645i	−0.276259	+	0.593205i
$949$	14.9622	−	0.293403i	0.485694	−	0.00952426i
$950$	9.24605	+	15.3649i	0.299981	+	0.498503i
$951$	−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	$-0.691330\pi$
$953$	−4.13885	+	2.38956i	−0.134070	+	0.0774056i	0.431465	+	0.902130i	$0.357997\pi$
$954$	−43.1724	+	20.1836i	−1.39776	+	0.653468i
$955$	−22.2572	+	6.18044i	−0.720227	+	0.199994i
$956$	−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
$960$	7.81619	+	1.30134i	0.252266	+	0.0420006i
$961$	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	$-0.948160\pi$
$967$	−6.63203	−	24.7511i	−0.213272	−	0.795941i	0.773496	−	0.633801i	$-0.218506\pi$
$968$	−5.05540	−	5.05540i	−0.162487	−	0.162487i
$969$	−0.291847	−	0.244643i	−0.00937548	−	0.00785907i
$970$	9.79562	+	35.2764i	0.314519	+	1.13266i
$971$	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
$975$	30.9353	+	4.24324i	0.990724	+	0.135892i
$976$	11.9545	−	20.7058i	0.382655	−	0.662777i
$977$	−14.1035	+	52.6351i	−0.451212	+	1.68395i	0.247781	+	0.968816i	$0.420299\pi$
$977$	−14.1035	+	52.6351i	−0.451212	+	1.68395i	−0.698992	+	0.715129i	$0.746368\pi$
$978$	11.0547	−	23.7376i	0.353492	−	0.759045i
$979$	12.0068	+	6.93212i	0.383738	+	0.221552i
$980$	−25.0628	−	6.47280i	−0.800602	−	0.206766i
$981$	−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	$-0.557018\pi$
$983$	−25.8495	−	6.92636i	−0.824472	−	0.220916i	−0.646300	+	0.763083i	$0.723685\pi$
$984$	−5.86544	+	12.5947i	−0.186983	+	0.401505i
$985$	−18.2309	+	32.2479i	−0.580884	+	1.02750i
$986$	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
$990$	27.6268	−	13.2221i	0.878036	−	0.420226i
$991$	−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
$995$	−8.85505	+	34.2869i	−0.280724	+	1.08697i
$996$	−5.46438	+	1.99193i	−0.173145	+	0.0631168i
$997$	49.4527	+	28.5515i	1.56618	+	0.904237i	0.996608	+	0.0822979i	$0.0262259\pi$
$997$	49.4527	+	28.5515i	1.56618	+	0.904237i	0.569576	+	0.821939i	$0.307107\pi$
$998$	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.59.62	yes	320
5.4	even	2	inner	585.2.cn.a.59.19	✓	320
9.2	odd	6		585.2.de.a.254.19	yes	320
13.2	odd	12		585.2.de.a.509.62	yes	320
45.29	odd	6		585.2.de.a.254.62	yes	320
65.54	odd	12		585.2.de.a.509.19	yes	320
117.2	even	12	inner	585.2.cn.a.119.19	yes	320
585.119	even	12	inner	585.2.cn.a.119.62	yes	320

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

\(f(q)\)	\(=\)	\(q+(1.20043 + 1.20043i) q^{2} +(1.41832 - 0.994165i) q^{3} +0.882060i q^{4} +(-1.56675 + 1.59540i) q^{5} +(2.89602 + 0.509170i) q^{6} +(4.33313 - 1.16106i) q^{7} +(1.34201 - 1.34201i) q^{8} +(1.02327 - 2.82009i) q^{9} +O(q^{10})\)	\(q+(1.20043 + 1.20043i) q^{2} +(1.41832 - 0.994165i) q^{3} +0.882060i q^{4} +(-1.56675 + 1.59540i) 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} +(-3.79593 + 0.0343872i) 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} +(-0.636069 + 3.82039i) q^{15} +4.98609 q^{16} +(-0.0901313 + 0.0520373i) q^{17} +(4.61369 - 2.15695i) q^{18} +(-0.546779 + 2.04061i) q^{19} +(-1.40724 - 1.38197i) q^{20} +(4.99148 - 5.95460i) q^{21} -4.56572i q^{22} +(-1.75934 + 1.01576i) q^{23} +(0.569222 - 3.23758i) q^{24} +(-0.0905820 - 4.99918i) q^{25} +(-6.11983 + 0.120007i) q^{26} +(-1.35231 - 5.01710i) q^{27} +(1.02412 + 3.82208i) q^{28} +9.70712i q^{29} +(-5.34967 + 3.82256i) 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} +(-4.93658 + 8.73214i) 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} +(0.0384428 + 4.24363i) 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} +(2.89595 + 6.05091i) 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} +(5.89242 - 6.10990i) q^{50} +(-0.0761015 + 0.163411i) q^{51} +(-2.29248 - 2.20430i) q^{52} -9.35746 q^{53} +(4.39932 - 7.64602i) q^{54} +(6.01347 - 0.0544757i) 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} +(-3.36982 - 0.561051i) q^{60} +(2.39757 - 4.15272i) q^{61} +(14.7996 + 8.54458i) q^{62} +(1.15968 - 13.4079i) q^{63} -2.04591i q^{64} +(-0.231079 - 8.05895i) 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} +(-16.4083 + 4.55630i) 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} +(-5.09848 - 7.00039i) 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} +(-7.81196 + 7.95479i) 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} +(0.0581931 - 0.225325i) q^{85} +(-13.8915 + 3.72223i) q^{86} +(9.65048 + 13.7678i) q^{87} -5.10421 q^{88} +(-4.97945 + 1.33424i) q^{89} +(-3.78730 + 10.7401i) 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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