LMFDB - Embedded newform 105.2.u.a.73.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [105,2,Mod(52,105)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(105, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([0, 3, 2]))

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

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

chi := DirichletCharacter("105.52");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 105 = 3 \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	105.u (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:	$0.838429221223$
Analytic rank:	$0$
Dimension:	$32$
Relative dimension:	$8$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			73.7
Character	$\chi$	$=$	105.73
Dual form			105.2.u.a.82.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.72112 + 0.461174i) q^{2} +(0.258819 + 0.965926i) q^{3} +(1.01754 + 0.587476i) q^{4} +(-1.95031 + 1.09375i) q^{5} +1.78184i q^{6} +(1.68076 - 2.04329i) q^{7} +(-1.03952 - 1.03952i) q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})$	\(q+(1.72112 + 0.461174i) q^{2} +(0.258819 + 0.965926i) q^{3} +(1.01754 + 0.587476i) q^{4} +(-1.95031 + 1.09375i) q^{5} +1.78184i q^{6} +(1.68076 - 2.04329i) q^{7} +(-1.03952 - 1.03952i) q^{8} +(-0.866025 + 0.500000i) q^{9} +(-3.86114 + 0.983040i) q^{10} +(1.46711 - 2.54110i) q^{11} +(-0.304100 + 1.13492i) q^{12} +(-0.187911 + 0.187911i) q^{13} +(3.83511 - 2.74164i) q^{14} +(-1.56126 - 1.60077i) q^{15} +(-2.48470 - 4.30362i) q^{16} +(-3.24271 + 0.868882i) q^{17} +(-1.72112 + 0.461174i) q^{18} +(1.81824 + 3.14928i) q^{19} +(-2.62707 - 0.0328332i) q^{20} +(2.40868 + 1.09464i) q^{21} +(3.69696 - 3.69696i) q^{22} +(-2.43175 + 9.07540i) q^{23} +(0.735051 - 1.27315i) q^{24} +(2.60744 - 4.26629i) q^{25} +(-0.410078 + 0.236759i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(2.91062 - 1.09173i) q^{28} +0.815162i q^{29} +(-1.94888 - 3.47514i) q^{30} +(-3.76330 - 2.17274i) q^{31} +(-1.53077 - 5.71292i) q^{32} +(2.83423 + 0.759430i) q^{33} -5.98182 q^{34} +(-1.04316 + 5.82339i) q^{35} -1.17495 q^{36} +(6.31853 + 1.69304i) q^{37} +(1.67705 + 6.25883i) q^{38} +(-0.230143 - 0.132873i) q^{39} +(3.16436 + 0.890417i) q^{40} -2.45734i q^{41} +(3.64082 + 2.99484i) q^{42} +(-3.59998 - 3.59998i) q^{43} +(2.98567 - 1.72378i) q^{44} +(1.14215 - 1.92237i) q^{45} +(-8.37068 + 14.4984i) q^{46} +(-2.47795 + 9.24785i) q^{47} +(3.51389 - 3.51389i) q^{48} +(-1.35010 - 6.86857i) q^{49} +(6.45523 - 6.14034i) q^{50} +(-1.67855 - 2.90734i) q^{51} +(-0.301600 + 0.0808136i) q^{52} +(4.87944 - 1.30744i) q^{53} +(-0.890920 - 1.54312i) q^{54} +(-0.0819944 + 6.56058i) q^{55} +(-3.87122 + 0.376863i) q^{56} +(-2.57138 + 2.57138i) q^{57} +(-0.375932 + 1.40300i) q^{58} +(5.41228 - 9.37435i) q^{59} +(-0.648221 - 2.54605i) q^{60} +(8.07692 - 4.66321i) q^{61} +(-5.47509 - 5.47509i) q^{62} +(-0.433932 + 2.60992i) q^{63} -0.599827i q^{64} +(0.160958 - 0.572013i) q^{65} +(4.52784 + 2.61415i) q^{66} +(4.10379 + 15.3155i) q^{67} +(-3.81003 - 1.02090i) q^{68} -9.39554 q^{69} +(-4.48100 + 9.54170i) q^{70} +2.68111 q^{71} +(1.42001 + 0.380490i) q^{72} +(0.508083 + 1.89619i) q^{73} +(10.0942 + 5.82788i) q^{74} +(4.79578 + 1.41439i) q^{75} +4.27269i q^{76} +(-2.72637 - 7.26871i) q^{77} +(-0.334828 - 0.334828i) q^{78} +(-4.44293 + 2.56513i) q^{79} +(9.55300 + 5.67578i) q^{80} +(0.500000 - 0.866025i) q^{81} +(1.13326 - 4.22938i) q^{82} +(6.09879 - 6.09879i) q^{83} +(1.80785 + 2.52889i) q^{84} +(5.37397 - 5.24130i) q^{85} +(-4.53580 - 7.85623i) q^{86} +(-0.787386 + 0.210980i) q^{87} +(-4.16661 + 1.11644i) q^{88} +(-4.87057 - 8.43608i) q^{89} +(2.85232 - 2.78191i) q^{90} +(0.0681246 + 0.699791i) q^{91} +(-7.80598 + 7.80598i) q^{92} +(1.12469 - 4.19741i) q^{93} +(-8.52974 + 14.7739i) q^{94} +(-6.99064 - 4.15339i) q^{95} +(5.12207 - 2.95723i) q^{96} +(-5.93610 - 5.93610i) q^{97} +(0.843909 - 12.4443i) q^{98} +2.93421i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8}+O(q^{10}) $ 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8	$ 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8} - 12 q^{10} - 8 q^{11} - 8 q^{15} - 8 q^{21} - 8 q^{22} - 8 q^{23} + 12 q^{25} + 24 q^{26} - 24 q^{28} + 8 q^{30} + 24 q^{31} + 24 q^{32} - 36 q^{33} + 44 q^{35} - 32 q^{36} + 4 q^{37} + 12 q^{38} + 12 q^{40} + 16 q^{42} + 40 q^{43} - 40 q^{46} - 60 q^{47} + 72 q^{50} - 8 q^{51} - 108 q^{52} - 24 q^{53} - 48 q^{56} + 16 q^{57} + 4 q^{58} + 20 q^{60} - 24 q^{61} + 4 q^{63} - 4 q^{65} + 72 q^{66} + 8 q^{67} + 132 q^{68} + 4 q^{70} - 16 q^{71} + 12 q^{72} + 36 q^{73} + 48 q^{75} + 60 q^{77} + 80 q^{78} - 12 q^{80} + 16 q^{81} + 12 q^{82} - 72 q^{85} - 16 q^{86} - 24 q^{87} - 32 q^{88} - 24 q^{91} - 56 q^{92} - 24 q^{93} - 12 q^{95} - 72 q^{98}+O(q^{100}) $ 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8 - 12 * q^10 - 8 * q^11 - 8 * q^15 - 8 * q^21 - 8 * q^22 - 8 * q^23 + 12 * q^25 + 24 * q^26 - 24 * q^28 + 8 * q^30 + 24 * q^31 + 24 * q^32 - 36 * q^33 + 44 * q^35 - 32 * q^36 + 4 * q^37 + 12 * q^38 + 12 * q^40 + 16 * q^42 + 40 * q^43 - 40 * q^46 - 60 * q^47 + 72 * q^50 - 8 * q^51 - 108 * q^52 - 24 * q^53 - 48 * q^56 + 16 * q^57 + 4 * q^58 + 20 * q^60 - 24 * q^61 + 4 * q^63 - 4 * q^65 + 72 * q^66 + 8 * q^67 + 132 * q^68 + 4 * q^70 - 16 * q^71 + 12 * q^72 + 36 * q^73 + 48 * q^75 + 60 * q^77 + 80 * q^78 - 12 * q^80 + 16 * q^81 + 12 * q^82 - 72 * q^85 - 16 * q^86 - 24 * q^87 - 32 * q^88 - 24 * q^91 - 56 * q^92 - 24 * q^93 - 12 * q^95 - 72 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/105\mathbb{Z}\right)^\times$.

$n$	$22$	$31$	$71$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{1}{6}\right)$	$1$

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 $

$2$	1.72112	+	0.461174i	1.21702	+	0.326099i	0.809512	−	0.587103i	$-0.199732\pi$
$2$	1.72112	+	0.461174i	1.21702	+	0.326099i	0.407507	+	0.913202i	$0.366398\pi$
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$3$	0.258819	+	0.965926i	0.149429	+	0.557678i
$4$	1.01754	+	0.587476i	0.508769	+	0.293738i
$5$	−1.95031	+	1.09375i	−0.872206	+	0.489138i
$5$	−1.95031	+	1.09375i	−0.872206	+	0.489138i
$6$			1.78184i			0.727433i
$7$	1.68076	−	2.04329i	0.635267	−	0.772293i
$7$	1.68076	−	2.04329i	0.635267	−	0.772293i
$8$	−1.03952	−	1.03952i	−0.367526	−	0.367526i
$9$	−0.866025	+	0.500000i	−0.288675	+	0.166667i
$10$	−3.86114	+	0.983040i	−1.22100	+	0.310865i
$11$	1.46711	−	2.54110i	0.442349	−	0.766171i	−0.555514	−	0.831507i	$-0.687479\pi$
$11$	1.46711	−	2.54110i	0.442349	−	0.766171i	0.997863	+	0.0653360i	$0.0208119\pi$
$12$	−0.304100	+	1.13492i	−0.0877861	+	0.327622i
$13$	−0.187911	+	0.187911i	−0.0521172	+	0.0521172i	−0.732685	−	0.680568i	$-0.761733\pi$
$13$	−0.187911	+	0.187911i	−0.0521172	+	0.0521172i	0.680568	+	0.732685i	$0.261733\pi$
$14$	3.83511	−	2.74164i	1.02498	−	0.732735i
$15$	−1.56126	−	1.60077i	−0.403115	−	0.413318i
$16$	−2.48470	−	4.30362i	−0.621174	−	1.07590i
$17$	−3.24271	+	0.868882i	−0.786473	+	0.210735i	−0.629637	−	0.776890i	$-0.716796\pi$
$17$	−3.24271	+	0.868882i	−0.786473	+	0.210735i	−0.156837	+	0.987625i	$0.550130\pi$
$18$	−1.72112	+	0.461174i	−0.405673	+	0.108700i
$19$	1.81824	+	3.14928i	0.417132	+	0.722494i	0.995650	−	0.0931757i	$-0.0297018\pi$
$19$	1.81824	+	3.14928i	0.417132	+	0.722494i	−0.578517	+	0.815670i	$0.696369\pi$
$20$	−2.62707	−	0.0328332i	−0.587430	−	0.00734173i
$21$	2.40868	+	1.09464i	0.525618	+	0.238871i
$22$	3.69696	−	3.69696i	0.788195	−	0.788195i
$23$	−2.43175	+	9.07540i	−0.507054	+	1.89235i	−0.0591961	+	0.998246i	$0.518854\pi$
$23$	−2.43175	+	9.07540i	−0.507054	+	1.89235i	−0.447858	+	0.894105i	$0.647813\pi$
$24$	0.735051	−	1.27315i	0.150042	−	0.259880i
$25$	2.60744	−	4.26629i	0.521488	−	0.853259i
$26$	−0.410078	+	0.236759i	−0.0804230	+	0.0464322i
$27$	−0.707107	−	0.707107i	−0.136083	−	0.136083i
$28$	2.91062	−	1.09173i	0.550056	−	0.206317i
$29$			0.815162i			0.151372i	0.997132	+	0.0756859i	$0.0241146\pi$
$29$			0.815162i			0.151372i	−0.997132	+	0.0756859i	$0.975885\pi$
$30$	−1.94888	−	3.47514i	−0.355815	−	0.634472i
$31$	−3.76330	−	2.17274i	−0.675908	−	0.390236i	0.122403	−	0.992480i	$-0.460940\pi$
$31$	−3.76330	−	2.17274i	−0.675908	−	0.390236i	−0.798312	+	0.602245i	$0.794273\pi$
$32$	−1.53077	−	5.71292i	−0.270605	−	1.00991i
$33$	2.83423	+	0.759430i	0.493376	+	0.132200i
$34$	−5.98182			−1.02587
$35$	−1.04316	+	5.82339i	−0.176326	+	0.984332i
$36$	−1.17495			−0.195825
$37$	6.31853	+	1.69304i	1.03876	+	0.278335i	0.737599	−	0.675239i	$-0.235959\pi$
$37$	6.31853	+	1.69304i	1.03876	+	0.278335i	0.301160	+	0.953574i	$0.402626\pi$
$38$	1.67705	+	6.25883i	0.272053	+	1.01532i
$39$	−0.230143	−	0.132873i	−0.0368524	−	0.0212768i
$40$	3.16436	+	0.890417i	0.500329	+	0.140787i
$41$		−	2.45734i		−	0.383772i	−0.981417	−	0.191886i	$-0.938540\pi$
$41$		−	2.45734i		−	0.383772i	0.981417	−	0.191886i	$-0.0614603\pi$
$42$	3.64082	+	2.99484i	0.561791	+	0.462114i
$43$	−3.59998	−	3.59998i	−0.548992	−	0.548992i	0.377157	−	0.926149i	$-0.376902\pi$
$43$	−3.59998	−	3.59998i	−0.548992	−	0.548992i	−0.926149	+	0.377157i	$0.876902\pi$
$44$	2.98567	−	1.72378i	0.450107	−	0.259870i
$45$	1.14215	−	1.92237i	0.170261	−	0.286570i
$46$	−8.37068	+	14.4984i	−1.23419	+	2.13768i
$47$	−2.47795	+	9.24785i	−0.361447	+	1.34894i	0.510728	+	0.859743i	$0.329376\pi$
$47$	−2.47795	+	9.24785i	−0.361447	+	1.34894i	−0.872174	+	0.489195i	$0.837291\pi$
$48$	3.51389	−	3.51389i	0.507186	−	0.507186i
$49$	−1.35010	−	6.86857i	−0.192872	−	0.981224i
$50$	6.45523	−	6.14034i	0.912908	−	0.868376i
$51$	−1.67855	−	2.90734i	−0.235044	−	0.407109i
$52$	−0.301600	+	0.0808136i	−0.0418244	+	0.0112068i
$53$	4.87944	−	1.30744i	0.670243	−	0.179591i	0.0923788	−	0.995724i	$-0.470553\pi$
$53$	4.87944	−	1.30744i	0.670243	−	0.179591i	0.577864	+	0.816133i	$0.303886\pi$
$54$	−0.890920	−	1.54312i	−0.121239	−	0.209992i
$55$	−0.0819944	+	6.56058i	−0.0110561	+	0.884629i
$56$	−3.87122	+	0.376863i	−0.517314	+	0.0503605i
$57$	−2.57138	+	2.57138i	−0.340587	+	0.340587i
$58$	−0.375932	+	1.40300i	−0.0493623	+	0.184222i
$59$	5.41228	−	9.37435i	0.704619	−	1.22044i	−0.262209	−	0.965011i	$-0.584451\pi$
$59$	5.41228	−	9.37435i	0.704619	−	1.22044i	0.966829	−	0.255425i	$-0.0822155\pi$
$60$	−0.648221	−	2.54605i	−0.0836850	−	0.328694i
$61$	8.07692	−	4.66321i	1.03414	−	0.597063i	0.115975	−	0.993252i	$-0.463001\pi$
$61$	8.07692	−	4.66321i	1.03414	−	0.597063i	0.918169	+	0.396189i	$0.129667\pi$
$62$	−5.47509	−	5.47509i	−0.695338	−	0.695338i
$63$	−0.433932	+	2.60992i	−0.0546703	+	0.328820i
$64$		−	0.599827i		−	0.0749784i
$65$	0.160958	−	0.572013i	0.0199644	−	0.0709494i
$66$	4.52784	+	2.61415i	0.557338	+	0.321779i
$67$	4.10379	+	15.3155i	0.501357	+	1.87109i	0.491027	+	0.871144i	$0.336622\pi$
$67$	4.10379	+	15.3155i	0.501357	+	1.87109i	0.0103305	+	0.999947i	$0.496712\pi$
$68$	−3.81003	−	1.02090i	−0.462035	−	0.123802i
$69$	−9.39554			−1.13109
$70$	−4.48100	+	9.54170i	−0.535582	+	1.14045i
$71$	2.68111			0.318189			0.159094	−	0.987263i	$-0.449143\pi$
$71$	2.68111			0.318189			0.159094	+	0.987263i	$0.449143\pi$
$72$	1.42001	+	0.380490i	0.167350	+	0.0448412i
$73$	0.508083	+	1.89619i	0.0594666	+	0.221932i	0.989264	−	0.146139i	$-0.0466848\pi$
$73$	0.508083	+	1.89619i	0.0594666	+	0.221932i	−0.929797	+	0.368072i	$0.880018\pi$
$74$	10.0942	+	5.82788i	1.17343	+	0.677477i
$75$	4.79578	+	1.41439i	0.553769	+	0.163320i
$76$			4.27269i			0.490111i
$77$	−2.72637	−	7.26871i	−0.310699	−	0.828346i
$78$	−0.334828	−	0.334828i	−0.0379118	−	0.0379118i
$79$	−4.44293	+	2.56513i	−0.499868	+	0.288599i	−0.728659	−	0.684876i	$-0.759856\pi$
$79$	−4.44293	+	2.56513i	−0.499868	+	0.288599i	0.228791	+	0.973476i	$0.426523\pi$
$80$	9.55300	+	5.67578i	1.06806	+	0.634571i
$81$	0.500000	−	0.866025i	0.0555556	−	0.0962250i
$82$	1.13326	−	4.22938i	0.125148	−	0.467057i
$83$	6.09879	−	6.09879i	0.669430	−	0.669430i	−0.288154	−	0.957584i	$-0.593042\pi$
$83$	6.09879	−	6.09879i	0.669430	−	0.669430i	0.957584	+	0.288154i	$0.0930416\pi$
$84$	1.80785	+	2.52889i	0.197253	+	0.275924i
$85$	5.37397	−	5.24130i	0.582889	−	0.568499i
$86$	−4.53580	−	7.85623i	−0.489108	−	0.847159i
$87$	−0.787386	+	0.210980i	−0.0844167	+	0.0226194i
$88$	−4.16661	+	1.11644i	−0.444162	+	0.119013i
$89$	−4.87057	−	8.43608i	−0.516280	−	0.894223i	−0.999821	−	0.0189016i	$-0.993983\pi$
$89$	−4.87057	−	8.43608i	−0.516280	−	0.894223i	0.483541	−	0.875321i	$-0.339350\pi$
$90$	2.85232	−	2.78191i	0.300661	−	0.293239i
$91$	0.0681246	+	0.699791i	0.00714140	+	0.0733580i
$92$	−7.80598	+	7.80598i	−0.813829	+	0.813829i
$93$	1.12469	−	4.19741i	0.116625	−	0.435251i
$94$	−8.52974	+	14.7739i	−0.879775	+	1.52382i
$95$	−6.99064	−	4.15339i	−0.717225	−	0.426129i
$96$	5.12207	−	2.95723i	0.522769	−	0.301821i
$97$	−5.93610	−	5.93610i	−0.602720	−	0.602720i	0.338314	−	0.941033i	$-0.390143\pi$
$97$	−5.93610	−	5.93610i	−0.602720	−	0.602720i	−0.941033	+	0.338314i	$0.890143\pi$
$98$	0.843909	−	12.4443i	0.0852477	−	1.25706i
$99$			2.93421i			0.294899i
$100$	5.15952	−	2.80931i	0.515952	−	0.280931i
$101$	−1.51710	−	0.875897i	−0.150957	−	0.0871550i	0.422619	−	0.906307i	$-0.361111\pi$
$101$	−1.51710	−	0.875897i	−0.150957	−	0.0871550i	−0.573576	+	0.819152i	$0.694444\pi$
$102$	−1.54821	−	5.77800i	−0.153296	−	0.572107i
$103$	−14.0661	−	3.76901i	−1.38598	−	0.371371i	−0.512688	−	0.858575i	$-0.671350\pi$
$103$	−14.0661	−	3.76901i	−1.38598	−	0.371371i	−0.873288	+	0.487204i	$0.838017\pi$
$104$	0.390675			0.0383088
$105$	−5.89495	+	0.499589i	−0.575288	+	0.0487549i
$106$	9.00109			0.874263
$107$	−5.49389	−	1.47208i	−0.531115	−	0.142312i	−0.0167117	−	0.999860i	$-0.505320\pi$
$107$	−5.49389	−	1.47208i	−0.531115	−	0.142312i	−0.514403	+	0.857549i	$0.671986\pi$
$108$	−0.304100	−	1.13492i	−0.0292620	−	0.109207i
$109$	−0.642034	−	0.370678i	−0.0614957	−	0.0355045i	0.468937	−	0.883232i	$-0.344637\pi$
$109$	−0.642034	−	0.370678i	−0.0614957	−	0.0355045i	−0.530433	+	0.847727i	$0.677970\pi$
$110$	−3.16669	+	11.2538i	−0.301932	+	1.07300i
$111$			6.54142i			0.620884i
$112$	−12.9697	−	2.15638i	−1.22552	−	0.203759i
$113$	−7.30619	−	7.30619i	−0.687309	−	0.687309i	0.274327	−	0.961636i	$-0.411545\pi$
$113$	−7.30619	−	7.30619i	−0.687309	−	0.687309i	−0.961636	+	0.274327i	$0.911545\pi$
$114$	−5.61151	+	3.23981i	−0.525566	+	0.303436i
$115$	−5.18352	−	20.3596i	−0.483366	−	1.89854i
$116$	−0.478889	+	0.829459i	−0.0444637	+	0.0770134i
$117$	0.0687803	−	0.256691i	0.00635874	−	0.0237311i
$118$	13.6384	−	13.6384i	1.25552	−	1.25552i
$119$	−3.67483	+	8.08620i	−0.336872	+	0.741261i
$120$	−0.0410810	+	3.28699i	−0.00375016	+	0.300060i
$121$	1.19520	+	2.07015i	0.108655	+	0.188196i
$122$	16.0519	−	4.30111i	1.45327	−	0.389404i
$123$	2.37361	−	0.636006i	0.214021	−	0.0573467i
$124$	−2.55287	−	4.42170i	−0.229254	−	0.397080i
$125$	−0.419077	+	11.1725i	−0.0374834	+	0.999297i
$126$	−1.95048	+	4.29189i	−0.173763	+	0.382352i
$127$	−1.87455	+	1.87455i	−0.166339	+	0.166339i	−0.785368	−	0.619029i	$-0.787526\pi$
$127$	−1.87455	+	1.87455i	−0.166339	+	0.166339i	0.619029	+	0.785368i	$0.287526\pi$
$128$	−2.78492	+	10.3935i	−0.246155	+	0.918662i
$129$	2.54557	−	4.40906i	0.224125	−	0.388196i
$130$	0.540827	−	0.910276i	0.0474337	−	0.0798364i
$131$	8.34312	−	4.81690i	0.728941	−	0.420855i	−0.0890934	−	0.996023i	$-0.528397\pi$
$131$	8.34312	−	4.81690i	0.728941	−	0.420855i	0.818035	+	0.575169i	$0.195064\pi$
$132$	2.43779	+	2.43779i	0.212183	+	0.212183i
$133$	9.49092	+	1.57798i	0.822967	+	0.136829i
$134$			28.2525i			2.44065i
$135$	2.15247	+	0.605684i	0.185256	+	0.0521290i
$136$	4.27408	+	2.46764i	0.366500	+	0.211599i
$137$	−3.41243	−	12.7354i	−0.291544	−	1.08806i	−0.943923	−	0.330164i	$-0.892896\pi$
$137$	−3.41243	−	12.7354i	−0.291544	−	1.08806i	0.652380	−	0.757892i	$-0.273771\pi$
$138$	−16.1709	−	4.33298i	−1.37656	−	0.368848i
$139$	15.4480			1.31028			0.655140	−	0.755508i	$-0.272610\pi$
$139$	15.4480			1.31028			0.655140	+	0.755508i	$0.272610\pi$
$140$	−4.48256	+	5.31269i	−0.378845	+	0.449004i
$141$	−9.57408			−0.806283
$142$	4.61452	+	1.23646i	0.387242	+	0.103761i
$143$	0.201816	+	0.753187i	0.0168767	+	0.0629847i
$144$	4.30362	+	2.48470i	0.358635	+	0.207058i
$145$	−0.891581	−	1.58982i	−0.0740418	−	0.132027i
$146$			3.49790i			0.289488i
$147$	6.28509	−	3.08182i	0.518386	−	0.254184i
$148$	5.43472	+	5.43472i	0.446731	+	0.446731i
$149$	−1.48069	+	0.854874i	−0.121302	+	0.0700340i	−0.559424	−	0.828882i	$-0.688977\pi$
$149$	−1.48069	+	0.854874i	−0.121302	+	0.0700340i	0.438121	+	0.898916i	$0.355644\pi$
$150$	7.60185	+	4.64604i	0.620689	+	0.379347i
$151$	1.29058	−	2.23536i	0.105026	−	0.181911i	−0.808723	−	0.588190i	$-0.799841\pi$
$151$	1.29058	−	2.23536i	0.105026	−	0.181911i	0.913749	+	0.406279i	$0.133174\pi$
$152$	1.38364	−	5.16383i	0.112228	−	0.418842i
$153$	2.37383	−	2.37383i	0.191913	−	0.191913i
$154$	−1.34028	−	13.7677i	−0.108003	−	1.10943i
$155$	9.71603	+	0.121431i	0.780411	+	0.00975360i
$156$	−0.156120	−	0.270407i	−0.0124996	−	0.0216499i
$157$	−8.65453	+	2.31897i	−0.690707	+	0.185074i	−0.587064	−	0.809540i	$-0.699716\pi$
$157$	−8.65453	+	2.31897i	−0.690707	+	0.185074i	−0.103642	+	0.994615i	$0.533050\pi$
$158$	−8.82980	+	2.36594i	−0.702461	+	0.188224i
$159$	2.52579	+	4.37479i	0.200308	+	0.346943i
$160$	9.23398	+	9.46771i	0.730010	+	0.748488i
$161$	14.4565	+	20.2223i	1.13933	+	1.59374i
$162$	1.25995	−	1.25995i	0.0989911	−	0.0989911i
$163$	−3.37528	+	12.5967i	−0.264373	+	0.986652i	0.698261	+	0.715844i	$0.253958\pi$
$163$	−3.37528	+	12.5967i	−0.264373	+	0.986652i	−0.962633	+	0.270809i	$0.912709\pi$
$164$	1.44363	−	2.50044i	0.112728	−	0.195251i
$165$	−6.35826	+	1.61880i	−0.494990	+	0.126024i
$166$	13.3094	−	7.68418i	1.03301	−	0.596408i
$167$	13.8731	+	13.8731i	1.07353	+	1.07353i	0.997073	+	0.0764613i	$0.0243622\pi$
$167$	13.8731	+	13.8731i	1.07353	+	1.07353i	0.0764613	+	0.997073i	$0.475638\pi$
$168$	−1.36597	−	3.64178i	−0.105387	−	0.280969i
$169$			12.9294i			0.994568i
$170$	11.6664	−	6.54259i	0.894774	−	0.501794i
$171$	−3.14928	−	1.81824i	−0.240831	−	0.139044i
$172$	−1.54822	−	5.77802i	−0.118050	−	0.440570i
$173$	2.42521	+	0.649834i	0.184385	+	0.0494059i	0.349830	−	0.936813i	$-0.386239\pi$
$173$	2.42521	+	0.649834i	0.184385	+	0.0494059i	−0.165445	+	0.986219i	$0.552906\pi$
$174$	−1.45249			−0.110113
$175$	−4.33482	−	12.4984i	−0.327682	−	0.944788i
$176$	−14.5812			−1.09910
$177$	10.4557	+	2.80160i	0.785901	+	0.210581i
$178$	−4.49237	−	16.7657i	−0.336717	−	1.25665i
$179$	−1.77730	−	1.02612i	−0.132841	−	0.0766961i	0.432107	−	0.901823i	$-0.357770\pi$
$179$	−1.77730	−	1.02612i	−0.132841	−	0.0766961i	−0.564948	+	0.825127i	$0.691104\pi$
$180$	2.29152	−	1.28510i	0.170800	−	0.0957857i
$181$			0.400573i			0.0297743i	0.999889	+	0.0148872i	$0.00473891\pi$
$181$			0.400573i			0.0297743i	−0.999889	+	0.0148872i	$0.995261\pi$
$182$	−0.205475	+	1.23585i	−0.0152308	+	0.0916069i
$183$	6.59478	+	6.59478i	0.487500	+	0.487500i
$184$	11.9619	−	6.90620i	0.881843	−	0.509132i
$185$	−14.1749	+	3.60890i	−1.04216	+	0.265331i
$186$	3.87148	−	6.70559i	0.283870	−	0.491678i
$187$	−2.54948	+	9.51481i	−0.186437	+	0.695791i
$188$	−7.95431	+	7.95431i	−0.580128	+	0.580128i
$189$	−2.63330	+	0.256352i	−0.191545	+	0.0186468i
$190$	−10.1163	−	10.3724i	−0.733916	−	0.752493i
$191$	−2.67712	−	4.63691i	−0.193710	−	0.335515i	0.752767	−	0.658287i	$-0.228719\pi$
$191$	−2.67712	−	4.63691i	−0.193710	−	0.335515i	−0.946477	+	0.322772i	$0.895385\pi$
$192$	0.579388	−	0.155247i	0.0418138	−	0.0112040i
$193$	24.8631	−	6.66206i	1.78969	−	0.479545i	0.797394	−	0.603458i	$-0.206211\pi$
$193$	24.8631	−	6.66206i	1.78969	−	0.479545i	0.992293	+	0.123913i	$0.0395444\pi$
$194$	−7.47919	−	12.9543i	−0.536975	−	0.930068i
$195$	0.594181	+	0.00742610i	0.0425502	+	0.000531794i
$196$	2.66134	−	7.78219i	0.190096	−	0.555871i
$197$	−4.64089	+	4.64089i	−0.330650	+	0.330650i	−0.852833	−	0.522183i	$-0.825118\pi$
$197$	−4.64089	+	4.64089i	−0.330650	+	0.330650i	0.522183	+	0.852833i	$0.325118\pi$
$198$	−1.35318	+	5.05014i	−0.0961665	+	0.358898i
$199$	−7.26057	+	12.5757i	−0.514688	+	0.891466i	0.485167	+	0.874422i	$0.338759\pi$
$199$	−7.26057	+	12.5757i	−0.514688	+	0.891466i	−0.999855	+	0.0170441i	$0.994574\pi$
$200$	−7.14538	+	1.72441i	−0.505254	+	0.121934i
$201$	−13.7315	+	7.92791i	−0.968548	+	0.559191i
$202$	−2.20718	−	2.20718i	−0.155296	−	0.155296i
$203$	1.66562	+	1.37009i	0.116903	+	0.0961615i
$204$		−	3.94444i		−	0.276166i
$205$	2.68770	+	4.79258i	0.187717	+	0.334728i
$206$	−22.4714	−	12.9739i	−1.56566	−	0.903932i
$207$	−2.43175	−	9.07540i	−0.169018	−	0.630784i
$208$	1.27560	+	0.341796i	0.0884470	+	0.0236993i
$209$	10.6702			0.738072
$210$	−10.3763	−	1.85874i	−0.716035	−	0.128265i
$211$	−9.70780			−0.668312			−0.334156	−	0.942518i	$-0.608451\pi$
$211$	−9.70780			−0.668312			−0.334156	+	0.942518i	$0.608451\pi$
$212$	5.73312	+	1.53618i	0.393752	+	0.105506i
$213$	0.693922	+	2.58975i	0.0475467	+	0.177447i
$214$	−8.77679	−	5.06728i	−0.599969	−	0.346392i
$215$	10.9585	+	3.08362i	0.747367	+	0.210301i
$216$			1.47010i			0.100028i
$217$	−10.7647	+	4.03767i	−0.730758	+	0.274095i
$218$	−0.934073	−	0.934073i	−0.0632634	−	0.0632634i
$219$	−1.70008	+	0.981540i	−0.114881	+	0.0663264i
$220$	−3.93762	+	6.62748i	−0.265474	+	0.446825i
$221$	0.446069	−	0.772615i	0.0300059	−	0.0519717i
$222$	−3.01673	+	11.2586i	−0.202470	+	0.755628i
$223$	−14.5593	+	14.5593i	−0.974963	+	0.974963i	−0.999694	−	0.0247308i	$-0.992127\pi$
$223$	−14.5593	+	14.5593i	−0.974963	+	0.974963i	0.0247308	+	0.999694i	$0.492127\pi$
$224$	−14.2460	−	6.47422i	−0.951854	−	0.432577i
$225$	−0.124961	+	4.99844i	−0.00833073	+	0.333229i
$226$	−9.20545	−	15.9443i	−0.612337	−	1.06060i
$227$	−4.38751	+	1.17563i	−0.291210	+	0.0780294i	−0.401466	−	0.915874i	$-0.631499\pi$
$227$	−4.38751	+	1.17563i	−0.291210	+	0.0780294i	0.110257	+	0.993903i	$0.464833\pi$
$228$	−4.12710	+	1.10585i	−0.273324	+	0.0732369i
$229$	−6.20185	−	10.7419i	−0.409830	−	0.709846i	0.585040	−	0.811004i	$-0.301079\pi$
$229$	−6.20185	−	10.7419i	−0.409830	−	0.709846i	−0.994870	+	0.101158i	$0.967745\pi$
$230$	0.467825	−	37.4319i	0.0308475	−	2.46818i
$231$	6.31539	−	4.51475i	0.415522	−	0.297049i
$232$	0.847377	−	0.847377i	0.0556330	−	0.0556330i
$233$	6.41768	−	23.9511i	0.420436	−	1.56909i	−0.353256	−	0.935527i	$-0.614926\pi$
$233$	6.41768	−	23.9511i	0.420436	−	1.56909i	0.773692	−	0.633562i	$-0.218408\pi$
$234$	0.236759	−	0.410078i	0.0154774	−	0.0268077i
$235$	−5.28202	−	20.7465i	−0.344561	−	1.35335i
$236$	11.0144	−	6.35918i	0.716977	−	0.413947i
$237$	−3.62763	−	3.62763i	−0.235640	−	0.235640i
$238$	−10.0540	+	12.2226i	−0.651704	+	0.792275i
$239$		−	22.9830i		−	1.48665i	−0.668931	−	0.743325i	$-0.733248\pi$
$239$		−	22.9830i		−	1.48665i	0.668931	−	0.743325i	$-0.266752\pi$
$240$	−3.00988	+	10.6965i	−0.194287	+	0.690455i
$241$	13.5317	+	7.81253i	0.871654	+	0.503249i	0.867897	−	0.496744i	$-0.165471\pi$
$241$	13.5317	+	7.81253i	0.871654	+	0.503249i	0.00375619	+	0.999993i	$0.498804\pi$
$242$	1.10239	+	4.11418i	0.0708645	+	0.264470i
$243$	0.965926	+	0.258819i	0.0619642	+	0.0166032i
$244$	10.9581			0.701521
$245$	10.1456	+	11.9192i	0.648178	+	0.761489i
$246$	4.37858			0.279168
$247$	−0.933452	−	0.250118i	−0.0593941	−	0.0159146i
$248$	1.65341	+	6.17063i	0.104992	+	0.391835i
$249$	7.46947	+	4.31250i	0.473358	+	0.273293i
$250$	−5.87374	+	19.0360i	−0.371488	+	1.20394i
$251$			9.59480i			0.605618i	0.953051	+	0.302809i	$0.0979245\pi$
$251$			9.59480i			0.605618i	−0.953051	+	0.302809i	$0.902075\pi$
$252$	−1.97481	+	2.40077i	−0.124401	+	0.151235i
$253$	19.4939	+	19.4939i	1.22557	+	1.22557i
$254$	−4.09082	+	2.36184i	−0.256681	+	0.148195i
$255$	6.45359	+	3.83431i	0.404139	+	0.240114i
$256$	−10.1862	+	17.6431i	−0.636639	+	1.10269i
$257$	2.53057	−	9.44423i	0.157853	−	0.589115i	−0.840991	−	0.541049i	$-0.818028\pi$
$257$	2.53057	−	9.44423i	0.157853	−	0.589115i	0.998844	−	0.0480661i	$-0.0153058\pi$
$258$	6.41459	−	6.41459i	0.399355	−	0.399355i
$259$	14.0793	−	10.0650i	0.874845	−	0.625409i
$260$	0.499825	−	0.487486i	0.0309979	−	0.0302326i
$261$	−0.407581	−	0.705951i	−0.0252286	−	0.0436973i
$262$	16.5810	−	4.44286i	1.02438	−	0.274481i
$263$	0.293765	−	0.0787141i	0.0181143	−	0.00485372i	−0.249751	−	0.968310i	$-0.580349\pi$
$263$	0.293765	−	0.0787141i	0.0181143	−	0.00485372i	0.267865	+	0.963457i	$0.413682\pi$
$264$	−2.15680	−	3.73568i	−0.132742	−	0.229915i
$265$	−8.08643	+	7.88680i	−0.496746	+	0.484482i
$266$	15.6073	+	7.09287i	0.956947	+	0.434892i
$267$	6.88803	−	6.88803i	0.421541	−	0.421541i
$268$	−4.82176	+	17.9950i	−0.294536	+	1.09922i
$269$	0.191447	−	0.331597i	0.0116728	−	0.0202178i	−0.860130	−	0.510075i	$-0.829618\pi$
$269$	0.191447	−	0.331597i	0.0116728	−	0.0202178i	0.871803	+	0.489857i	$0.162951\pi$
$270$	3.42535	+	2.03512i	0.208460	+	0.123854i
$271$	−10.1392	+	5.85388i	−0.615913	+	0.355598i	−0.775276	−	0.631622i	$-0.782389\pi$
$271$	−10.1392	+	5.85388i	−0.615913	+	0.355598i	0.159363	+	0.987220i	$0.449056\pi$
$272$	11.7965	+	11.7965i	0.715268	+	0.715268i
$273$	−0.658314	+	0.246923i	−0.0398430	+	0.0149444i
$274$		−	23.4929i		−	1.41926i
$275$	−7.01570	−	12.8849i	−0.423063	−	0.776987i
$276$	−9.56033	−	5.51966i	−0.575464	−	0.332244i
$277$	3.19438	+	11.9216i	0.191932	+	0.716299i	0.993040	+	0.117779i	$0.0375775\pi$
$277$	3.19438	+	11.9216i	0.191932	+	0.716299i	−0.801108	+	0.598520i	$0.795756\pi$
$278$	26.5879	+	7.12420i	1.59463	+	0.427281i
$279$	4.34548			0.260157
$280$	7.13790	−	4.96914i	0.426571	−	0.296963i
$281$	−7.83022			−0.467111			−0.233556	−	0.972343i	$-0.575036\pi$
$281$	−7.83022			−0.467111			−0.233556	+	0.972343i	$0.575036\pi$
$282$	−16.4782	−	4.41532i	−0.981262	−	0.262928i
$283$	0.840650	+	3.13735i	0.0499714	+	0.186496i	0.986400	−	0.164362i	$-0.0525566\pi$
$283$	0.840650	+	3.13735i	0.0499714	+	0.186496i	−0.936429	+	0.350858i	$0.885890\pi$
$284$	2.72813	+	1.57509i	0.161885	+	0.0934642i
$285$	2.20255	−	7.82742i	0.130468	−	0.463656i
$286$			1.38940i			0.0821570i
$287$	−5.02106	−	4.13019i	−0.296384	−	0.243797i
$288$	4.18215	+	4.18215i	0.246436	+	0.246436i
$289$	−4.96220	+	2.86493i	−0.291894	+	0.168525i
$290$	−0.801338	−	3.14746i	−0.0470562	−	0.184825i
$291$	4.19746	−	7.27021i	0.246059	−	0.426187i
$292$	−0.596973	+	2.22793i	−0.0349352	+	0.130380i
$293$	−10.9441	+	10.9441i	−0.639361	+	0.639361i	−0.950398	−	0.311037i	$-0.899324\pi$
$293$	−10.9441	+	10.9441i	−0.639361	+	0.639361i	0.311037	+	0.950398i	$0.399324\pi$
$294$	12.2387	−	2.40567i	0.713775	−	0.140301i
$295$	−0.302485	+	24.2026i	−0.0176113	+	1.40913i
$296$	−4.80828	−	8.32818i	−0.279475	−	0.484066i
$297$	−2.83423	+	0.759430i	−0.164459	+	0.0440666i
$298$	−2.94269	+	0.788492i	−0.170465	+	0.0456761i
$299$	−1.24842	−	2.16232i	−0.0721978	−	0.125050i
$300$	4.04897	+	4.25661i	0.233767	+	0.245755i
$301$	−13.4065	+	1.30512i	−0.772739	+	0.0752260i
$302$	3.25214	−	3.25214i	0.187140	−	0.187140i
$303$	0.453398	−	1.69210i	0.0260470	−	0.0972088i
$304$	9.03553	−	15.6500i	0.518223	−	0.897589i
$305$	−10.6521	+	17.9288i	−0.609940	+	1.02660i
$306$	5.18041	−	2.99091i	0.296144	−	0.170979i
$307$	−17.7315	−	17.7315i	−1.01199	−	1.01199i	−0.999927	−	0.0120630i	$-0.996160\pi$
$307$	−17.7315	−	17.7315i	−1.01199	−	1.01199i	−0.0120630	−	0.999927i	$-0.503840\pi$
$308$	1.49601	−	8.99787i	0.0852429	−	0.512701i
$309$		−	14.5623i		−	0.828422i
$310$	16.6665	+	4.68978i	0.946594	+	0.266362i
$311$	13.8127	+	7.97477i	0.783247	+	0.452208i	0.837580	−	0.546315i	$-0.183970\pi$
$311$	13.8127	+	7.97477i	0.783247	+	0.452208i	−0.0543330	+	0.998523i	$0.517303\pi$
$312$	0.101114	+	0.377363i	0.00572445	+	0.0213640i
$313$	−29.2148	−	7.82807i	−1.65132	−	0.442469i	−0.691335	−	0.722535i	$-0.742977\pi$
$313$	−29.2148	−	7.82807i	−1.65132	−	0.442469i	−0.959981	+	0.280066i	$0.909644\pi$
$314$	−15.9650			−0.900956
$315$	−2.00829	−	5.56478i	−0.113154	−	0.313540i
$316$	−6.02780			−0.339090
$317$	16.6672	+	4.46597i	0.936125	+	0.250834i	0.694464	−	0.719527i	$-0.255641\pi$
$317$	16.6672	+	4.46597i	0.936125	+	0.250834i	0.241660	+	0.970361i	$0.422308\pi$
$318$	2.32965	+	8.69439i	0.130641	+	0.487557i
$319$	2.07141	+	1.19593i	0.115977	+	0.0669592i
$320$	0.656059	+	1.16985i	0.0366748	+	0.0653966i
$321$		−	5.68770i		−	0.317456i
$322$	15.5555	+	41.4721i	0.866873	+	2.31115i
$323$	−8.63238	−	8.63238i	−0.480318	−	0.480318i
$324$	1.01754	−	0.587476i	0.0565299	−	0.0326376i
$325$	0.311718	+	1.29165i	0.0172910	+	0.0716479i
$326$	−11.6186	+	20.1240i	−0.643493	+	1.11456i
$327$	0.191877	−	0.716095i	0.0106108	−	0.0396002i
$328$	−2.55445	+	2.55445i	−0.141046	+	0.141046i
$329$	14.7312	+	20.6066i	0.812159	+	1.13608i
$330$	−11.6899	−	0.146101i	−0.643508	−	0.00804259i
$331$	−0.449328	−	0.778259i	−0.0246973	−	0.0427770i	0.853413	−	0.521236i	$-0.174529\pi$
$331$	−0.449328	−	0.778259i	−0.0246973	−	0.0427770i	−0.878110	+	0.478459i	$0.841196\pi$
$332$	9.78866	−	2.62286i	0.537222	−	0.143948i
$333$	−6.31853	+	1.69304i	−0.346253	+	0.0927782i
$334$	17.4794	+	30.2753i	0.956433	+	1.65659i
$335$	−24.7550	−	25.3816i	−1.35251	−	1.38674i
$336$	−1.27391	−	13.0859i	−0.0694976	−	0.713895i
$337$	21.9343	−	21.9343i	1.19484	−	1.19484i	0.219145	−	0.975692i	$-0.429673\pi$
$337$	21.9343	−	21.9343i	1.19484	−	1.19484i	0.975692	−	0.219145i	$-0.0703269\pi$
$338$	−5.96269	+	22.2531i	−0.324328	+	1.21041i
$339$	5.16626	−	8.94822i	0.280593	−	0.486001i
$340$	8.54736	−	2.17615i	0.463546	−	0.118018i
$341$	−11.0423	+	6.37528i	−0.597975	+	0.345241i
$342$	−4.58178	−	4.58178i	−0.247754	−	0.247754i
$343$	−16.3037	−	8.78574i	−0.880317	−	0.474386i
$344$			7.48450i			0.403537i
$345$	18.3242	−	10.2763i	0.986544	−	0.553260i
$346$	3.87441	+	2.23689i	0.208289	+	0.120256i
$347$	4.13123	+	15.4180i	0.221776	+	0.827680i	0.983670	+	0.179979i	$0.0576029\pi$
$347$	4.13123	+	15.4180i	0.221776	+	0.827680i	−0.761894	+	0.647701i	$0.775730\pi$
$348$	−0.925142	−	0.247891i	−0.0495928	−	0.0132884i
$349$	5.03837			0.269698			0.134849	−	0.990866i	$-0.456945\pi$
$349$	5.03837			0.269698			0.134849	+	0.990866i	$0.456945\pi$
$350$	−1.69684	−	23.5104i	−0.0907001	−	1.25668i
$351$	0.265747			0.0141845
$352$	−16.7629	−	4.49161i	−0.893467	−	0.239404i
$353$	1.62544	+	6.06624i	0.0865137	+	0.322874i	0.995597	−	0.0937419i	$-0.0298828\pi$
$353$	1.62544	+	6.06624i	0.0865137	+	0.322874i	−0.909083	+	0.416615i	$0.863216\pi$
$354$	16.7036	+	9.64382i	0.887786	+	0.512563i
$355$	−5.22900	+	2.93245i	−0.277526	+	0.155638i
$356$		−	11.4454i		−	0.606604i
$357$	−8.76179	−	1.45676i	−0.463723	−	0.0770997i
$358$	−2.58573	−	2.58573i	−0.136660	−	0.136660i
$359$	−26.9712	+	15.5718i	−1.42348	+	0.821849i	−0.996595	−	0.0824548i	$-0.973724\pi$
$359$	−26.9712	+	15.5718i	−1.42348	+	0.821849i	−0.426889	+	0.904304i	$0.640391\pi$
$360$	−3.18562	+	0.811055i	−0.167897	+	0.0427463i
$361$	2.88803	−	5.00221i	0.152001	−	0.263274i
$362$	−0.184734	+	0.689436i	−0.00970939	+	0.0362359i
$363$	−1.69027	+	1.69027i	−0.0887162	+	0.0887162i
$364$	−0.341791	+	0.752086i	−0.0179147	+	0.0394200i
$365$	−3.06487	−	3.14245i	−0.160423	−	0.164483i
$366$	8.30910	+	14.3918i	0.434323	+	0.752270i
$367$	30.3624	−	8.13558i	1.58490	−	0.424674i	0.644465	−	0.764634i	$-0.277080\pi$
$367$	30.3624	−	8.13558i	1.58490	−	0.424674i	0.940440	+	0.339960i	$0.110414\pi$
$368$	45.0992	−	12.0843i	2.35096	−	0.629937i
$369$	1.22867	+	2.12812i	0.0639619	+	0.110785i
$370$	−26.0610	−	0.325712i	−1.35485	−	0.0169330i
$371$	5.52968	−	12.1676i	0.287086	−	0.631712i
$372$	3.61030	−	3.61030i	0.187185	−	0.187185i
$373$	5.66737	−	21.1509i	0.293445	−	1.09515i	−0.648999	−	0.760789i	$-0.724812\pi$
$373$	5.66737	−	21.1509i	0.293445	−	1.09515i	0.942444	−	0.334363i	$-0.108521\pi$
$374$	−8.77596	+	15.2004i	−0.453794	+	0.785995i
$375$	−10.9003	+	2.48685i	−0.562887	+	0.128421i
$376$	12.1892	−	7.03744i	0.628610	−	0.362928i
$377$	−0.153178	−	0.153178i	−0.00788908	−	0.00788908i
$378$	−4.65047	−	0.773198i	−0.239194	−	0.0397690i
$379$			0.993329i			0.0510239i	0.999675	+	0.0255119i	$0.00812158\pi$
$379$			0.993329i			0.0510239i	−0.999675	+	0.0255119i	$0.991878\pi$
$380$	−4.67323	−	8.33307i	−0.239732	−	0.427478i
$381$	−2.29584	−	1.32550i	−0.117619	−	0.0679076i
$382$	−2.46924	−	9.21532i	−0.126337	−	0.471497i
$383$	12.5969	+	3.37533i	0.643672	+	0.172471i	0.565866	−	0.824497i	$-0.308542\pi$
$383$	12.5969	+	3.37533i	0.643672	+	0.172471i	0.0778058	+	0.996969i	$0.475209\pi$
$384$	−10.7601			−0.549100
$385$	13.2674	+	11.1943i	0.676169	+	0.570514i
$386$	45.8649			2.33446
$387$	4.91766	+	1.31768i	0.249979	+	0.0669816i
$388$	−2.55289	−	9.52753i	−0.129604	−	0.483687i
$389$	−12.3488	−	7.12960i	−0.626111	−	0.361485i	0.153134	−	0.988205i	$-0.451064\pi$
$389$	−12.3488	−	7.12960i	−0.626111	−	0.361485i	−0.779244	+	0.626720i	$0.784397\pi$
$390$	1.01923	+	0.286802i	0.0516110	+	0.0145228i
$391$		−	31.5418i		−	1.59514i
$392$	−5.73655	+	8.54347i	−0.289740	+	0.431510i
$393$	6.81213	+	6.81213i	0.343626	+	0.343626i
$394$	−10.1278	+	5.84729i	−0.510232	+	0.294582i
$395$	5.85950	−	9.86223i	0.294823	−	0.496223i
$396$	−1.72378	+	2.98567i	−0.0866232	+	0.150036i
$397$	5.32540	−	19.8747i	0.267274	−	0.997481i	−0.693569	−	0.720390i	$-0.743963\pi$
$397$	5.32540	−	19.8747i	0.267274	−	0.997481i	0.960844	−	0.277091i	$-0.0893704\pi$
$398$	−18.2959	+	18.2959i	−0.917091	+	0.917091i
$399$	0.932216	+	9.57594i	0.0466692	+	0.479397i
$400$	−24.8392	−	0.620980i	−1.24196	−	0.0310490i
$401$	4.95698	+	8.58574i	0.247540	+	0.428751i	0.962843	−	0.270063i	$-0.0870446\pi$
$401$	4.95698	+	8.58574i	0.247540	+	0.428751i	−0.715303	+	0.698815i	$0.753711\pi$
$402$	−27.2898	+	7.31229i	−1.36109	+	0.364704i
$403$	1.11545	−	0.298883i	0.0555644	−	0.0148884i
$404$	−1.02914	−	1.78252i	−0.0512015	−	0.0886836i
$405$	−0.0279443	+	2.23589i	−0.00138856	+	0.111102i
$406$	2.23488	+	3.12624i	0.110915	+	0.155153i
$407$	13.5721	−	13.5721i	0.672746	−	0.672746i
$408$	−1.27735	+	4.76712i	−0.0632380	+	0.236008i
$409$	−18.7178	+	32.4202i	−0.925535	+	1.60307i	−0.134838	+	0.990868i	$0.543051\pi$
$409$	−18.7178	+	32.4202i	−0.925535	+	1.60307i	−0.790698	+	0.612207i	$0.790282\pi$
$410$	2.41566	+	9.48812i	0.119301	+	0.468585i
$411$	11.4182	−	6.59232i	0.563220	−	0.325175i
$412$	−12.0986	−	12.0986i	−0.596057	−	0.596057i
$413$	−10.0578	−	26.8149i	−0.494913	−	1.31948i
$414$		−	16.7414i		−	0.822792i
$415$	−5.22402	+	18.5651i	−0.256437	+	0.911324i
$416$	1.36117	+	0.785873i	0.0667369	+	0.0385306i
$417$	3.99823	+	14.9216i	0.195794	+	0.730713i
$418$	18.3647	+	4.92081i	0.898248	+	0.240685i
$419$	22.2223			1.08563			0.542816	−	0.839851i	$-0.317358\pi$
$419$	22.2223			1.08563			0.542816	+	0.839851i	$0.317358\pi$
$420$	−6.29184	−	2.95479i	−0.307010	−	0.144179i
$421$	−33.9692			−1.65556			−0.827780	−	0.561053i	$-0.810396\pi$
$421$	−33.9692			−1.65556			−0.827780	+	0.561053i	$0.810396\pi$
$422$	−16.7083	−	4.47698i	−0.813349	−	0.217936i
$423$	−2.47795	−	9.24785i	−0.120482	−	0.449646i
$424$	−6.43139	−	3.71316i	−0.312336	−	0.180327i
$425$	−4.74827	+	16.0999i	−0.230325	+	0.780961i
$426$			4.77730i			0.231461i
$427$	4.04704	−	24.3413i	0.195850	−	1.17796i
$428$	−4.72543	−	4.72543i	−0.228413	−	0.228413i
$429$	−0.675289	+	0.389878i	−0.0326033	+	0.0188235i
$430$	17.4389	+	10.3611i	0.840981	+	0.499656i
$431$	−7.90386	+	13.6899i	−0.380716	+	0.659419i	−0.991165	−	0.132637i	$-0.957656\pi$
$431$	−7.90386	+	13.6899i	−0.380716	+	0.659419i	0.610449	+	0.792055i	$0.290989\pi$
$432$	−1.28617	+	4.80006i	−0.0618810	+	0.230943i
$433$	4.33729	−	4.33729i	0.208437	−	0.208437i	−0.595166	−	0.803603i	$-0.702914\pi$
$433$	4.33729	−	4.33729i	0.208437	−	0.208437i	0.803603	+	0.595166i	$0.202914\pi$
$434$	−20.3895	+	1.98492i	−0.978729	+	0.0952791i
$435$	1.30489	−	1.27268i	0.0625648	−	0.0610202i
$436$	−0.435529	−	0.754359i	−0.0208581	−	0.0361272i
$437$	−33.0025	+	8.84298i	−1.57872	+	0.423017i
$438$	−3.37871	+	0.905322i	−0.161441	+	0.0432580i
$439$	5.34596	+	9.25948i	0.255149	+	0.441931i	0.964936	−	0.262485i	$-0.0845422\pi$
$439$	5.34596	+	9.25948i	0.255149	+	0.441931i	−0.709787	+	0.704416i	$0.751209\pi$
$440$	6.90509	−	6.73462i	0.329187	−	0.321060i
$441$	4.60351	+	5.27330i	0.219215	+	0.251110i
$442$	1.12405	−	1.12405i	0.0534657	−	0.0534657i
$443$	5.68315	−	21.2098i	0.270015	−	1.00771i	−0.689094	−	0.724672i	$-0.741991\pi$
$443$	5.68315	−	21.2098i	0.270015	−	1.00771i	0.959109	−	0.283037i	$-0.0913420\pi$
$444$	−3.84293	+	6.65615i	−0.182377	+	0.315887i
$445$	18.7261	+	11.1258i	0.887701	+	0.527415i
$446$	−31.7728	+	18.3440i	−1.50448	+	0.868614i
$447$	−1.20897	−	1.20897i	−0.0571825	−	0.0571825i
$448$	−1.22562	−	1.00816i	−0.0579053	−	0.0476313i
$449$		−	2.98493i		−	0.140868i	−0.997516	−	0.0704338i	$-0.977562\pi$
$449$		−	2.98493i		−	0.140868i	0.997516	−	0.0704338i	$-0.0224384\pi$
$450$	−2.52022	+	8.54531i	−0.118804	+	0.402830i
$451$	−6.24434	−	3.60517i	−0.294035	−	0.169761i
$452$	−3.14212	−	11.7266i	−0.147793	−	0.551571i
$453$	2.49322	+	0.668055i	0.117142	+	0.0313880i
$454$	−8.09363			−0.379853
$455$	−0.898258	−	1.29030i	−0.0421110	−	0.0604902i
$456$	5.34599			0.250349
$457$	−20.4922	−	5.49087i	−0.958585	−	0.256852i	−0.254583	−	0.967051i	$-0.581938\pi$
$457$	−20.4922	−	5.49087i	−0.958585	−	0.256852i	−0.704001	+	0.710199i	$0.748605\pi$
$458$	−5.72027	−	21.3483i	−0.267291	−	0.997542i
$459$	2.90734	+	1.67855i	0.135703	+	0.0783481i
$460$	6.68634	−	23.7619i	0.311752	−	1.10790i
$461$		−	12.3910i		−	0.577105i	−0.957464	−	0.288552i	$-0.906826\pi$
$461$		−	12.3910i		−	0.577105i	0.957464	−	0.288552i	$-0.0931739\pi$
$462$	12.9517	−	4.85795i	0.602566	−	0.226012i
$463$	−3.29804	−	3.29804i	−0.153273	−	0.153273i	0.626305	−	0.779578i	$-0.284566\pi$
$463$	−3.29804	−	3.29804i	−0.153273	−	0.153273i	−0.779578	+	0.626305i	$0.784566\pi$
$464$	3.50815	−	2.02543i	0.162862	−	0.0940283i
$465$	2.39740	+	9.41640i	0.111177	+	0.436675i
$466$	22.0912	−	38.2632i	1.02336	−	1.77251i
$467$	−0.112606	+	0.420251i	−0.00521079	+	0.0194469i	−0.968482	−	0.249082i	$-0.919871\pi$
$467$	−0.112606	+	0.420251i	−0.00521079	+	0.0194469i	0.963271	+	0.268529i	$0.0865376\pi$
$468$	0.220787	−	0.220787i	0.0102059	−	0.0102059i
$469$	38.1916	+	17.3565i	1.76353	+	0.801448i
$470$	0.476715	−	38.1432i	0.0219892	−	1.75941i
$471$	−4.47992	−	7.75944i	−0.206424	−	0.357536i
$472$	−15.3710	+	4.11864i	−0.707507	+	0.189576i
$473$	−14.4295	+	3.86636i	−0.663467	+	0.177776i
$474$	−4.57064	−	7.91658i	−0.209937	−	0.363621i
$475$	18.1767	+	0.454417i	0.834004	+	0.0208501i
$476$	−8.48974	+	6.06914i	−0.389126	+	0.278179i
$477$	−3.57200	+	3.57200i	−0.163551	+	0.163551i
$478$	10.5992	−	39.5567i	0.484795	−	1.80928i
$479$	10.8544	−	18.8003i	0.495948	−	0.859008i	−0.504041	−	0.863680i	$-0.668154\pi$
$479$	10.8544	−	18.8003i	0.495948	−	0.859008i	0.999989	+	0.00467229i	$0.00148724\pi$
$480$	−6.75518	+	11.3698i	−0.308330	+	0.518956i
$481$	−1.50546	+	0.869180i	−0.0686432	+	0.0396312i
$482$	19.6868	+	19.6868i	0.896710	+	0.896710i
$483$	−15.7916	+	19.1979i	−0.718544	+	0.873533i
$484$			2.80861i			0.127664i
$485$	18.0698	+	5.08466i	0.820509	+	0.230883i
$486$	1.54312	+	0.890920i	0.0699973	+	0.0404129i
$487$	0.496688	+	1.85366i	0.0225071	+	0.0839976i	0.976266	−	0.216575i	$-0.0694887\pi$
$487$	0.496688	+	1.85366i	0.0225071	+	0.0839976i	−0.953759	+	0.300573i	$0.902822\pi$
$488$	−13.2436	−	3.54862i	−0.599510	−	0.160638i
$489$	−13.0411			−0.589739
$490$	11.9650	+	25.1933i	0.540524	+	1.13812i
$491$	7.49344			0.338174			0.169087	−	0.985601i	$-0.445918\pi$
$491$	7.49344			0.338174			0.169087	+	0.985601i	$0.445918\pi$
$492$	2.78887	+	0.747276i	0.125732	+	0.0336898i
$493$	−0.708280	−	2.64334i	−0.0318993	−	0.119050i
$494$	−1.49124	−	0.860968i	−0.0670941	−	0.0387368i
$495$	−3.20928	−	5.72263i	−0.144247	−	0.257213i
$496$			21.5944i			0.969617i
$497$	4.50629	−	5.47829i	0.202135	−	0.245735i
$498$	10.8671	+	10.8671i	0.486965	+	0.486965i
$499$	−2.01654	+	1.16425i	−0.0902726	+	0.0521189i	−0.544457	−	0.838789i	$-0.683264\pi$
$499$	−2.01654	+	1.16425i	−0.0902726	+	0.0521189i	0.454184	+	0.890908i	$0.349931\pi$
$500$	−6.99000	+	11.1222i	−0.312602	+	0.497402i
$501$	−9.80977	+	16.9910i	−0.438268	+	0.759103i
$502$	−4.42487	+	16.5139i	−0.197492	+	0.737049i
$503$	−23.1484	+	23.1484i	−1.03213	+	1.03213i	−0.0326680	+	0.999466i	$0.510400\pi$
$503$	−23.1484	+	23.1484i	−1.03213	+	1.03213i	−0.999466	+	0.0326680i	$0.989600\pi$
$504$	3.16415	−	2.26199i	0.140942	−	0.100757i
$505$	3.91683	+	0.0489527i	0.174296	+	0.00217836i
$506$	24.5613	+	42.5415i	1.09188	+	1.89120i
$507$	−12.4888	+	3.34637i	−0.554648	+	0.148617i
$508$	−3.00867	+	0.806172i	−0.133488	+	0.0357681i
$509$	1.08951	+	1.88709i	0.0482917	+	0.0836437i	0.889161	−	0.457595i	$-0.151289\pi$
$509$	1.08951	+	1.88709i	0.0482917	+	0.0836437i	−0.840869	+	0.541238i	$0.817956\pi$
$510$	9.33915	+	9.57555i	0.413545	+	0.424012i
$511$	4.72844	+	2.14888i	0.209174	+	0.0950606i
$512$	−10.4512	+	10.4512i	−0.461882	+	0.461882i
$513$	0.941189	−	3.51257i	0.0415545	−	0.155084i
$514$	8.71086	−	15.0877i	0.384220	−	0.665488i
$515$	31.5557	−	8.03403i	1.39051	−	0.354022i
$516$	5.18043	−	2.99092i	0.228056	−	0.131668i
$517$	19.8643	+	19.8643i	0.873631	+	0.873631i
$518$	28.8740	−	10.8301i	1.26865	−	0.475849i
$519$			2.51076i			0.110210i
$520$	−0.761938	+	0.427299i	−0.0334132	+	0.0187383i
$521$	13.2441	+	7.64651i	0.580236	+	0.335000i	0.761227	−	0.648485i	$-0.224597\pi$
$521$	13.2441	+	7.64651i	0.580236	+	0.335000i	−0.180991	+	0.983485i	$0.557930\pi$
$522$	−0.375932	−	1.40300i	−0.0164541	−	0.0614075i
$523$	2.72898	+	0.731228i	0.119330	+	0.0319743i	0.317990	−	0.948094i	$-0.396992\pi$
$523$	2.72898	+	0.731228i	0.119330	+	0.0319743i	−0.198660	+	0.980068i	$0.563659\pi$
$524$	11.3193			0.494484
$525$	10.9506	−	7.42193i	0.477922	−	0.323920i
$526$	0.541907			0.0236283
$527$	14.0911	+	3.77571i	0.613820	+	0.164473i
$528$	−3.77390	−	14.0844i	−0.164238	−	0.612945i
$529$	−56.5309	−	32.6381i	−2.45786	−	1.41905i
$530$	−17.5549	+	9.84491i	−0.762538	+	0.427636i
$531$			10.8246i			0.469746i
$532$	8.73035	+	7.18135i	0.378509	+	0.311351i
$533$	0.461761	+	0.461761i	0.0200011	+	0.0200011i
$534$	15.0317	−	8.67858i	0.650487	−	0.375559i
$535$	12.3249	−	3.13790i	0.532852	−	0.135663i
$536$	11.6548	−	20.1868i	0.503412	−	0.871935i
$537$	0.531161	−	1.98232i	0.0229213	−	0.0855434i
$538$	0.482429	−	0.482429i	0.0207990	−	0.0207990i
$539$	−19.4345	−	6.64616i	−0.837102	−	0.286271i
$540$	1.83440	+	1.88083i	0.0789401	+	0.0809382i
$541$	13.7644	+	23.8407i	0.591779	+	1.02499i	0.993993	+	0.109445i	$0.0349074\pi$
$541$	13.7644	+	23.8407i	0.591779	+	1.02499i	−0.402214	+	0.915546i	$0.631759\pi$
$542$	−20.1505	+	5.39931i	−0.865538	+	0.231920i
$543$	−0.386923	+	0.103676i	−0.0166045	+	0.00444916i
$544$	9.92772	+	17.1953i	0.425647	+	0.737243i
$545$	1.65759	+	0.0207167i	0.0710035	+	0.000887405i
$546$	−1.24692	+	0.121387i	−0.0533631	+	0.00519489i
$547$	−13.0361	+	13.0361i	−0.557385	+	0.557385i	−0.928562	−	0.371177i	$-0.878954\pi$
$547$	−13.0361	+	13.0361i	−0.557385	+	0.557385i	0.371177	+	0.928562i	$0.378954\pi$
$548$	4.00945	−	14.9635i	0.171275	−	0.639208i
$549$	−4.66321	+	8.07692i	−0.199021	+	0.344715i
$550$	−6.13273	−	25.4119i	−0.261500	−	1.08357i
$551$	−2.56717	+	1.48216i	−0.109365	+	0.0631421i
$552$	9.76685	+	9.76685i	0.415705	+	0.415705i
$553$	−2.22618	+	13.3896i	−0.0946668	+	0.569382i
$554$			21.9917i			0.934338i
$555$	−7.15465	−	12.7578i	−0.303698	−	0.541539i
$556$	15.7189	+	9.07531i	0.666630	+	0.384879i
$557$	−2.95077	−	11.0124i	−0.125028	−	0.466612i	0.874812	−	0.484462i	$-0.160985\pi$
$557$	−2.95077	−	11.0124i	−0.125028	−	0.466612i	−0.999841	+	0.0178499i	$0.994318\pi$
$558$	7.47912	+	2.00402i	0.316616	+	0.0848371i
$559$	1.35295			0.0572238
$560$	27.6536	−	9.97998i	1.16858	−	0.421731i
$561$	−9.85045			−0.415886
$562$	−13.4768	−	3.61109i	−0.568484	−	0.152325i
$563$	6.95804	+	25.9678i	0.293247	+	1.09441i	0.942600	+	0.333924i	$0.108373\pi$
$563$	6.95804	+	25.9678i	0.293247	+	1.09441i	−0.649353	+	0.760487i	$0.724960\pi$
$564$	−9.74200	−	5.62454i	−0.410212	−	0.236836i
$565$	22.2405	+	6.25824i	0.935664	+	0.263286i
$566$			5.78745i			0.243265i
$567$	−0.929166	−	2.47723i	−0.0390213	−	0.104034i
$568$	−2.78706	−	2.78706i	−0.116943	−	0.116943i
$569$	2.25223	−	1.30033i	0.0944184	−	0.0545125i	−0.452047	−	0.891994i	$-0.649306\pi$
$569$	2.25223	−	1.30033i	0.0944184	−	0.0545125i	0.546466	+	0.837481i	$0.315973\pi$
$570$	7.40067	−	12.4562i	0.309980	−	0.521733i
$571$	−6.25437	+	10.8329i	−0.261737	+	0.453342i	−0.966704	−	0.255899i	$-0.917629\pi$
$571$	−6.25437	+	10.8329i	−0.261737	+	0.453342i	0.704967	+	0.709241i	$0.250962\pi$
$572$	−0.237124	+	0.884959i	−0.00991465	+	0.0370020i
$573$	3.78602	−	3.78602i	0.158163	−	0.158163i
$574$	−6.73714	−	9.42416i	−0.281203	−	0.393357i
$575$	32.3777	+	34.0381i	1.35024	+	1.41949i
$576$	0.299914	+	0.519465i	0.0124964	+	0.0216444i
$577$	10.9134	−	2.92422i	0.454329	−	0.121737i	−0.0243953	−	0.999702i	$-0.507766\pi$
$577$	10.9134	−	2.92422i	0.454329	−	0.121737i	0.478724	+	0.877965i	$0.341099\pi$
$578$	−9.86180	+	2.64246i	−0.410197	+	0.109912i
$579$	12.8701	+	22.2917i	0.534863	+	0.926410i
$580$	0.0267644	−	2.14149i	0.00111133	−	0.0889204i
$581$	−2.21103	−	22.7122i	−0.0917291	−	0.942262i
$582$	10.5772	−	10.5772i	0.438438	−	0.438438i
$583$	3.83631	−	14.3173i	0.158884	−	0.592963i
$584$	1.44296	−	2.49929i	0.0597103	−	0.103421i
$585$	0.146612	+	0.575857i	0.00606167	+	0.0238087i
$586$	−23.8833	+	13.7890i	−0.986609	+	0.569619i
$587$	−0.811118	−	0.811118i	−0.0334784	−	0.0334784i	0.690169	−	0.723648i	$-0.257536\pi$
$587$	−0.811118	−	0.811118i	−0.0334784	−	0.0334784i	−0.723648	+	0.690169i	$0.757536\pi$
$588$	8.20582	+	0.556477i	0.338402	+	0.0229487i
$589$		−	15.8022i		−	0.651120i
$590$	−11.6822	+	41.5162i	−0.480949	+	1.70919i
$591$	−5.68391	−	3.28161i	−0.233805	−	0.134987i
$592$	−8.41340	−	31.3992i	−0.345788	−	1.29050i
$593$	11.5358	+	3.09100i	0.473717	+	0.126932i	0.487776	−	0.872969i	$-0.337808\pi$
$593$	11.5358	+	3.09100i	0.473717	+	0.126932i	−0.0140585	+	0.999901i	$0.504475\pi$
$594$	−5.22829			−0.214520
$595$	−1.67717	−	19.7900i	−0.0687574	−	0.811309i
$596$	−2.00887			−0.0822867
$597$	−14.0263	−	3.75835i	−0.574060	−	0.153819i
$598$	−1.15147	−	4.29736i	−0.0470873	−	0.175732i
$599$	−1.51812	−	0.876486i	−0.0620286	−	0.0358122i	0.468665	−	0.883376i	$-0.344735\pi$
$599$	−1.51812	−	0.876486i	−0.0620286	−	0.0358122i	−0.530694	+	0.847564i	$0.678068\pi$
$600$	−3.51501	−	6.45559i	−0.143500	−	0.263548i
$601$		−	18.7443i		−	0.764595i	−0.924039	−	0.382297i	$-0.875133\pi$
$601$		−	18.7443i		−	0.764595i	0.924039	−	0.382297i	$-0.124867\pi$
$602$	−23.6762	−	3.93646i	−0.964969	−	0.160438i
$603$	−11.2118	−	11.2118i	−0.456578	−	0.456578i
$604$	2.62644	−	1.51637i	0.106868	−	0.0617004i
$605$	−4.59524	−	2.73019i	−0.186823	−	0.110998i
$606$	1.56071	−	2.70323i	0.0633995	−	0.109811i
$607$	−4.66799	+	17.4212i	−0.189468	+	0.707104i	0.804162	+	0.594411i	$0.202615\pi$
$607$	−4.66799	+	17.4212i	−0.189468	+	0.707104i	−0.993630	+	0.112694i	$0.964052\pi$
$608$	15.2083	−	15.2083i	0.616778	−	0.616778i
$609$	−0.892313	+	1.96347i	−0.0361583	+	0.0795637i
$610$	−26.6020	+	25.9453i	−1.07708	+	1.05049i
$611$	−1.27214	−	2.20341i	−0.0514652	−	0.0891404i
$612$	3.81003	−	1.02090i	0.154012	−	0.0412673i
$613$	4.20460	−	1.12662i	0.169822	−	0.0455037i	−0.172906	−	0.984938i	$-0.555316\pi$
$613$	4.20460	−	1.12662i	0.169822	−	0.0455037i	0.342728	+	0.939435i	$0.388649\pi$
$614$	−22.3408	−	38.6954i	−0.901602	−	1.56162i
$615$	−3.93364	+	3.83653i	−0.158620	+	0.154704i
$616$	−4.72185	+	10.3901i	−0.190249	+	0.418628i
$617$	−21.5544	+	21.5544i	−0.867748	+	0.867748i	−0.992223	−	0.124475i	$-0.960275\pi$
$617$	−21.5544	+	21.5544i	−0.867748	+	0.867748i	0.124475	+	0.992223i	$0.460275\pi$
$618$	6.71577	−	25.0636i	0.270148	−	1.00821i
$619$	10.6477	−	18.4424i	0.427967	−	0.741261i	−0.568725	−	0.822528i	$-0.692563\pi$
$619$	10.6477	−	18.4424i	0.427967	−	0.741261i	0.996692	+	0.0812668i	$0.0258966\pi$
$620$	9.81510	+	5.83150i	0.394184	+	0.234199i
$621$	8.13678	−	4.69777i	0.326518	−	0.188515i
$622$	20.0956	+	20.0956i	0.805762	+	0.805762i
$623$	−25.4237	−	4.22700i	−1.01858	−	0.169351i
$624$			1.32060i			0.0528663i
$625$	−11.4025	−	22.2482i	−0.456101	−	0.889928i
$626$	−46.6721	−	26.9462i	−1.86539	−	1.07699i
$627$	2.76165	+	10.3066i	0.110290	+	0.411606i
$628$	−10.1687	−	2.72469i	−0.405774	−	0.108727i
$629$	−21.9602			−0.875611
$630$	−0.890188	−	10.5039i	−0.0354659	−	0.418483i
$631$	−14.7032			−0.585327			−0.292664	−	0.956215i	$-0.594542\pi$
$631$	−14.7032			−0.585327			−0.292664	+	0.956215i	$0.594542\pi$
$632$	7.28500	+	1.95201i	0.289782	+	0.0776468i
$633$	−2.51256	−	9.37701i	−0.0998654	−	0.372703i
$634$	26.6268	+	15.3730i	1.05748	+	0.610539i
$635$	1.60567	−	5.70623i	0.0637192	−	0.226445i
$636$			5.93536i			0.235352i
$637$	1.54438	+	1.03698i	0.0611906	+	0.0410867i
$638$	3.01362	+	3.01362i	0.119311	+	0.119311i
$639$	−2.32191	+	1.34055i	−0.0918532	+	0.0530315i
$640$	−5.93635	−	23.3165i	−0.234655	−	0.921666i
$641$	11.0943	−	19.2159i	0.438198	−	0.758981i	−0.559353	−	0.828930i	$-0.688950\pi$
$641$	11.0943	−	19.2159i	0.438198	−	0.758981i	0.997551	+	0.0699487i	$0.0222836\pi$
$642$	2.62302	−	9.78924i	0.103522	−	0.386350i
$643$	9.54667	−	9.54667i	0.376484	−	0.376484i	−0.493348	−	0.869832i	$-0.664227\pi$
$643$	9.54667	−	9.54667i	0.376484	−	0.376484i	0.869832	+	0.493348i	$0.164227\pi$
$644$	2.82995	+	29.0699i	0.111516	+	1.14551i
$645$	−0.142268	+	11.3832i	−0.00560181	+	0.448215i
$646$	−10.8764	−	18.8384i	−0.427925	−	0.741188i
$647$	3.55395	−	0.952279i	0.139720	−	0.0374380i	−0.188281	−	0.982115i	$-0.560292\pi$
$647$	3.55395	−	0.952279i	0.139720	−	0.0374380i	0.328001	+	0.944677i	$0.393625\pi$
$648$	−1.42001	+	0.380490i	−0.0557832	+	0.0149471i
$649$	−15.8808	−	27.5063i	−0.623375	−	1.07972i
$650$	−0.0591712	+	2.36685i	−0.00232089	+	0.0928355i
$651$	−6.68621	−	9.35292i	−0.262053	−	0.366570i
$652$	−10.8348	+	10.8348i	−0.424322	+	0.424322i
$653$	−6.96138	+	25.9802i	−0.272420	+	1.01669i	0.685131	+	0.728420i	$0.259745\pi$
$653$	−6.96138	+	25.9802i	−0.272420	+	1.01669i	−0.957551	+	0.288265i	$0.906922\pi$
$654$	0.660489	−	1.14400i	0.0258272	−	0.0447340i
$655$	−11.0032	+	18.5197i	−0.429931	+	0.723625i
$656$	−10.5754	+	6.10574i	−0.412902	+	0.238389i
$657$	−1.38811	−	1.38811i	−0.0541552	−	0.0541552i
$658$	15.8511	+	42.2602i	0.617939	+	1.64747i
$659$			5.85098i			0.227922i	0.993485	+	0.113961i	$0.0363539\pi$
$659$			5.85098i			0.227922i	−0.993485	+	0.113961i	$0.963646\pi$
$660$	−7.42078	−	2.08813i	−0.288854	−	0.0812804i
$661$	7.57292	+	4.37223i	0.294552	+	0.170060i	0.639993	−	0.768381i	$-0.278937\pi$
$661$	7.57292	+	4.37223i	0.294552	+	0.170060i	−0.345441	+	0.938441i	$0.612271\pi$
$662$	−0.414437	−	1.54670i	−0.0161076	−	0.0601142i
$663$	0.861740	+	0.230903i	0.0334672	+	0.00896751i
$664$	−12.6796			−0.492065
$665$	−20.2362	+	7.30310i	−0.784725	+	0.283202i
$666$	−11.6558			−0.451651
$667$	−7.39792	−	1.98227i	−0.286449	−	0.0767537i
$668$	5.96631	+	22.2666i	0.230843	+	0.861519i
$669$	−17.8314	−	10.2950i	−0.689403	−	0.398027i
$670$	−30.9011	−	55.1012i	−1.19381	−	2.12875i
$671$		−	27.3657i		−	1.05644i
$672$	2.56647	−	15.4363i	0.0990038	−	0.595467i
$673$	20.2896	+	20.2896i	0.782107	+	0.782107i	0.980186	−	0.198079i	$-0.0634701\pi$
$673$	20.2896	+	20.2896i	0.782107	+	0.782107i	−0.198079	+	0.980186i	$0.563470\pi$
$674$	47.8672	−	27.6361i	1.84378	−	1.06450i
$675$	−4.86046	+	1.17299i	−0.187079	+	0.0451483i
$676$	−7.59570	+	13.1561i	−0.292142	+	0.506006i
$677$	12.0194	−	44.8571i	0.461944	−	1.72400i	−0.204884	−	0.978786i	$-0.565682\pi$
$677$	12.0194	−	44.8571i	0.461944	−	1.72400i	0.666828	−	0.745212i	$-0.267652\pi$
$678$	13.0185	−	13.0185i	0.499971	−	0.499971i
$679$	−22.1063	+	2.15205i	−0.848364	+	0.0825881i
$680$	−11.0348	−	0.137913i	−0.423164	−	0.00528872i
$681$	−2.27114	−	3.93374i	−0.0870305	−	0.150741i
$682$	−21.9453	+	5.88023i	−0.840329	+	0.225166i
$683$	−10.5322	+	2.82209i	−0.403003	+	0.107984i	−0.454626	−	0.890682i	$-0.650227\pi$
$683$	−10.5322	+	2.82209i	−0.403003	+	0.107984i	0.0516231	+	0.998667i	$0.483561\pi$
$684$	−2.13634	−	3.70025i	−0.0816851	−	0.141483i
$685$	20.5846	+	21.1056i	0.786497	+	0.806405i
$686$	−24.0090	−	22.6402i	−0.916666	−	0.864407i
$687$	8.77075	−	8.77075i	0.334625	−	0.334625i
$688$	−6.54809	+	24.4378i	−0.249643	+	0.931682i
$689$	−0.671219	+	1.16259i	−0.0255714	+	0.0442910i
$690$	36.2775	−	9.23620i	1.38106	−	0.351616i
$691$	26.6156	−	15.3665i	1.01251	−	0.584571i	0.100582	−	0.994929i	$-0.467930\pi$
$691$	26.6156	−	15.3665i	1.01251	−	0.584571i	0.911924	+	0.410358i	$0.134596\pi$
$692$	2.08599	+	2.08599i	0.0792973	+	0.0792973i
$693$	5.99546	+	4.93170i	0.227749	+	0.187340i
$694$			28.4415i			1.07962i
$695$	−30.1284	+	16.8962i	−1.14283	+	0.640908i
$696$	1.03782	+	0.599186i	0.0393385	+	0.0227121i
$697$	2.13514	+	7.96844i	0.0808741	+	0.301826i
$698$	8.67167	+	2.32357i	0.328228	+	0.0879483i
$699$	24.7960			0.937871
$700$	2.93165	−	15.2642i	0.110806	−	0.576932i
$701$	17.3574			0.655579			0.327790	−	0.944751i	$-0.393696\pi$
$701$	17.3574			0.655579			0.327790	+	0.944751i	$0.393696\pi$
$702$	0.457383	+	0.122555i	0.0172628	+	0.00462556i
$703$	6.15671	+	22.9772i	0.232205	+	0.866600i
$704$	−1.52422	−	0.880010i	−0.0574463	−	0.0331666i
$705$	18.6724	−	10.4716i	0.703245	−	0.394384i
$706$			11.1904i			0.421155i
$707$	−4.33959	+	1.62771i	−0.163207	+	0.0612162i
$708$	8.99323	+	8.99323i	0.337986	+	0.337986i
$709$	−8.56028	+	4.94228i	−0.321488	+	0.185611i	−0.652056	−	0.758171i	$-0.726093\pi$
$709$	−8.56028	+	4.94228i	−0.321488	+	0.185611i	0.330568	+	0.943782i	$0.392760\pi$
$710$	−10.3521	+	2.63564i	−0.388509	+	0.0989137i
$711$	2.56513	−	4.44293i	0.0961997	−	0.166623i
$712$	−3.70641	+	13.8325i	−0.138904	+	0.518396i
$713$	28.8699	−	28.8699i	1.08118	−	1.08118i
$714$	−14.4083	−	6.54797i	−0.539217	−	0.245051i
$715$	−1.21740	−	1.24821i	−0.0455282	−	0.0466806i
$716$	−1.20565	−	2.08824i	−0.0450571	−	0.0780412i
$717$	22.1999	−	5.94845i	0.829071	−	0.222149i
$718$	−53.6021	+	14.3626i	−2.00041	+	0.536009i
$719$	13.8682	+	24.0204i	0.517197	+	0.895811i	0.999801	+	0.0199723i	$0.00635781\pi$
$719$	13.8682	+	24.0204i	0.517197	+	0.895811i	−0.482604	+	0.875839i	$0.660309\pi$
$720$	−11.1110	−	0.138866i	−0.414084	−	0.00517523i
$721$	−31.3429	+	22.4064i	−1.16727	+	0.834460i
$722$	7.27754	−	7.27754i	0.270842	−	0.270842i
$723$	−4.04406	+	15.0927i	−0.150400	+	0.561302i
$724$	−0.235327	+	0.407598i	−0.00874586	+	0.0151483i
$725$	3.47772	+	2.12549i	0.129159	+	0.0789386i
$726$	−3.68868	+	2.12966i	−0.136900	+	0.0790390i
$727$	−4.65452	−	4.65452i	−0.172626	−	0.172626i	0.615506	−	0.788132i	$-0.288952\pi$
$727$	−4.65452	−	4.65452i	−0.172626	−	0.172626i	−0.788132	+	0.615506i	$0.788952\pi$
$728$	0.656630	−	0.798263i	0.0243363	−	0.0295856i
$729$			1.00000i			0.0370370i
$730$	−3.82581	−	6.82199i	−0.141600	−	0.252493i
$731$	14.8017	+	8.54574i	0.547459	+	0.316076i
$732$	2.83617	+	10.5847i	0.104828	+	0.391222i
$733$	10.1362	+	2.71600i	0.374390	+	0.100318i	0.441107	−	0.897454i	$-0.354586\pi$
$733$	10.1362	+	2.71600i	0.374390	+	0.100318i	−0.0667169	+	0.997772i	$0.521252\pi$
$734$	56.0094			2.06735
$735$	−8.88717	+	12.8848i	−0.327808	+	0.475263i
$736$	55.5695			2.04832
$737$	44.9390	+	12.0414i	1.65535	+	0.443550i
$738$	1.13326	+	4.22938i	0.0417159	+	0.155686i
$739$	44.5007	+	25.6925i	1.63699	+	0.945114i	0.981863	+	0.189591i	$0.0607162\pi$
$739$	44.5007	+	25.6925i	1.63699	+	0.945114i	0.655122	+	0.755523i	$0.272617\pi$
$740$	−16.5436	−	4.65520i	−0.608155	−	0.171129i
$741$		−	0.966381i		−	0.0355009i
$742$	15.1287	−	18.3919i	0.555391	−	0.675187i
$743$	−16.6359	−	16.6359i	−0.610313	−	0.610313i	0.332715	−	0.943028i	$-0.392035\pi$
$743$	−16.6359	−	16.6359i	−0.610313	−	0.610313i	−0.943028	+	0.332715i	$0.892035\pi$
$744$	−5.53243	+	3.19415i	−0.202829	+	0.117103i
$745$	1.95278	−	3.28677i	0.0715445	−	0.120418i
$746$	19.5085	−	33.7897i	0.714257	−	1.23713i
$747$	−2.23231	+	8.33111i	−0.0816761	+	0.304819i
$748$	−8.18392	+	8.18392i	−0.299234	+	0.299234i
$749$	−12.2418	+	8.75142i	−0.447306	+	0.319770i
$750$	−19.9076	−	0.746728i	−0.726922	−	0.0272667i
$751$	23.5482	+	40.7867i	0.859286	+	1.48833i	0.872611	+	0.488415i	$0.162425\pi$
$751$	23.5482	+	40.7867i	0.859286	+	1.48833i	−0.0133254	+	0.999911i	$0.504242\pi$
$752$	45.9562	−	12.3139i	1.67585	−	0.449043i
$753$	−9.26787	+	2.48332i	−0.337740	+	0.0904971i
$754$	−0.192997	−	0.334281i	−0.00702853	−	0.0121738i
$755$	−0.0721289	+	5.77122i	−0.00262504	+	0.210036i
$756$	−2.83009	−	1.28616i	−0.102929	−	0.0467770i
$757$	−7.76199	+	7.76199i	−0.282114	+	0.282114i	−0.833952	−	0.551837i	$-0.813927\pi$
$757$	−7.76199	+	7.76199i	−0.282114	+	0.282114i	0.551837	+	0.833952i	$0.313927\pi$
$758$	−0.458097	+	1.70964i	−0.0166388	+	0.0620970i
$759$	−13.7843	+	23.8750i	−0.500337	+	0.866609i
$760$	2.94938	+	11.5844i	0.106985	+	0.420212i
$761$	−16.3521	+	9.44089i	−0.592763	+	0.342232i	−0.766189	−	0.642615i	$-0.777850\pi$
$761$	−16.3521	+	9.44089i	−0.592763	+	0.342232i	0.173426	+	0.984847i	$0.444516\pi$
$762$	−3.34014	−	3.34014i	−0.121001	−	0.121001i
$763$	−1.83651	+	0.688843i	−0.0664861	+	0.0249378i
$764$		−	6.29098i		−	0.227600i
$765$	−2.03334	+	7.22608i	−0.0735157	+	0.261259i
$766$	20.1242	+	11.6187i	0.727118	+	0.419802i
$767$	0.744517	+	2.77857i	0.0268829	+	0.100328i
$768$	−19.6783	−	5.27278i	−0.710079	−	0.190265i
$769$	−6.17963			−0.222843			−0.111422	−	0.993773i	$-0.535540\pi$
$769$	−6.17963			−0.222843			−0.111422	+	0.993773i	$0.535540\pi$
$770$	17.6723	+	25.3854i	0.636866	+	0.914825i
$771$	9.77738			0.352124
$772$	29.2130	+	7.82760i	1.05140	+	0.281722i
$773$	−1.86174	−	6.94812i	−0.0669623	−	0.249907i	0.924329	−	0.381598i	$-0.124626\pi$
$773$	−1.86174	−	6.94812i	−0.0669623	−	0.249907i	−0.991291	+	0.131691i	$0.957959\pi$
$774$	7.85623	+	4.53580i	0.282386	+	0.163036i
$775$	−19.0821	+	10.3900i	−0.685450	+	0.373221i
$776$			12.3414i			0.443030i
$777$	13.3660	+	10.9945i	0.479504	+	0.394427i
$778$	−17.9659	−	17.9659i	−0.644109	−	0.644109i
$779$	7.73884	−	4.46802i	0.277273	−	0.160084i
$780$	0.600240	+	0.356624i	0.0214920	+	0.0127692i
$781$	3.93347	−	6.81297i	0.140751	−	0.243787i
$782$	14.5463	−	54.2874i	0.520173	−	1.94131i
$783$	0.576407	−	0.576407i	0.0205991	−	0.0205991i
$784$	−26.2051	+	22.8766i	−0.935897	+	0.817023i
$785$	14.3427	−	13.9886i	0.511912	−	0.499274i
$786$	8.58294	+	14.8661i	0.306143	+	0.530256i
$787$	21.4777	−	5.75494i	0.765598	−	0.205141i	0.145172	−	0.989406i	$-0.453626\pi$
$787$	21.4777	−	5.75494i	0.765598	−	0.205141i	0.620426	+	0.784265i	$0.286960\pi$
$788$	−7.44870	+	1.99587i	−0.265349	+	0.0711000i
$789$	0.152064	+	0.263383i	0.00541362	+	0.00937667i
$790$	14.6331	−	14.2719i	0.520624	−	0.507771i
$791$	−27.2087	+	2.64876i	−0.967428	+	0.0941790i
$792$	3.05017	−	3.05017i	0.108383	−	0.108383i
$793$	−0.641474	+	2.39401i	−0.0227794	+	0.0850139i
$794$	18.3314	−	31.7508i	0.650556	−	1.12680i
$795$	−9.71098	−	5.76964i	−0.344413	−	0.204628i
$796$	−14.7758	+	8.53082i	−0.523715	+	0.302367i
$797$	−19.6877	−	19.6877i	−0.697374	−	0.697374i	0.266469	−	0.963843i	$-0.414143\pi$
$797$	−19.6877	−	19.6877i	−0.697374	−	0.697374i	−0.963843	+	0.266469i	$0.914143\pi$
$798$	−2.81171	+	16.9113i	−0.0995336	+	0.598654i
$799$		−	32.1412i		−	1.13707i
$800$	−28.3644	−	8.36537i	−1.00283	−	0.295760i
$801$	8.43608	+	4.87057i	0.298074	+	0.172093i
$802$	4.57206	+	17.0632i	0.161445	+	0.602521i
$803$	5.56382	+	1.49082i	0.196343	+	0.0526100i
$804$	−18.6298			−0.657023
$805$	−50.3128	−	23.6281i	−1.77329	−	0.832780i
$806$	2.05766			0.0724781
$807$	0.369848	+	0.0991004i	0.0130193	+	0.00348850i
$808$	0.666541	+	2.48757i	0.0234488	+	0.0875122i
$809$	32.7914	+	18.9321i	1.15288	+	0.665617i	0.949588	−	0.313500i	$-0.101502\pi$
$809$	32.7914	+	18.9321i	1.15288	+	0.665617i	0.203295	+	0.979118i	$0.434835\pi$
$810$	−1.07923	+	3.83536i	−0.0379203	+	0.134761i
$811$			6.84166i			0.240243i	0.992759	+	0.120122i	$0.0383284\pi$
$811$			6.84166i			0.240243i	−0.992759	+	0.120122i	$0.961672\pi$
$812$	0.889934	+	2.37263i	0.0312306	+	0.0832630i
$813$	−8.27863	−	8.27863i	−0.290344	−	0.290344i
$814$	29.6185	−	17.1002i	1.03813	−	0.599363i
$815$	−7.19477	−	28.2593i	−0.252022	−	0.989879i
$816$	−8.34138	+	14.4477i	−0.292007	+	0.505771i
$817$	4.79172	−	17.8830i	0.167641	−	0.625646i
$818$	−47.1670	+	47.1670i	−1.64916	+	1.64916i
$819$	−0.408893	−	0.571975i	−0.0142879	−	0.0199864i
$820$	−0.0806823	+	6.45559i	−0.00281755	+	0.225439i
$821$	−20.7921	−	36.0129i	−0.725648	−	1.25686i	−0.958707	−	0.284397i	$-0.908207\pi$
$821$	−20.7921	−	36.0129i	−0.725648	−	1.25686i	0.233058	−	0.972463i	$-0.425127\pi$
$822$	22.6924	−	6.08041i	0.791488	−	0.212079i
$823$	15.3638	−	4.11673i	0.535550	−	0.143500i	0.0191000	−	0.999818i	$-0.493920\pi$
$823$	15.3638	−	4.11673i	0.535550	−	0.143500i	0.516450	+	0.856317i	$0.327253\pi$
$824$	10.7041	+	18.5400i	0.372893	+	0.645870i
$825$	10.6300	−	10.1115i	0.370090	−	0.352037i
$826$	−4.94442	−	50.7902i	−0.172038	−	1.76722i
$827$	−30.8225	+	30.8225i	−1.07180	+	1.07180i	−0.0745879	+	0.997214i	$0.523764\pi$
$827$	−30.8225	+	30.8225i	−1.07180	+	1.07180i	−0.997214	+	0.0745879i	$0.976236\pi$
$828$	2.85719	−	10.6632i	0.0992941	−	0.370570i
$829$	16.1369	−	27.9499i	0.560458	−	0.970741i	−0.436999	−	0.899462i	$-0.643959\pi$
$829$	16.1369	−	27.9499i	0.560458	−	0.970741i	0.997456	−	0.0712790i	$-0.0227081\pi$
$830$	−17.5529	+	29.5437i	−0.609271	+	1.02548i
$831$	−10.6886	+	6.17107i	−0.370784	+	0.214072i
$832$	0.112714	+	0.112714i	0.00390766	+	0.00390766i
$833$	10.3460	+	21.0997i	0.358467	+	0.731062i
$834$			27.5258i			0.953140i
$835$	−42.2306	−	11.8832i	−1.46145	−	0.411237i
$836$	10.8573	+	6.26848i	0.375509	+	0.216800i
$837$	1.12469	+	4.19741i	0.0388751	+	0.145084i
$838$	38.2474	+	10.2484i	1.32124	+	0.354024i
$839$	40.5766			1.40086			0.700429	−	0.713722i	$-0.252992\pi$
$839$	40.5766			1.40086			0.700429	+	0.713722i	$0.252992\pi$
$840$	6.64724	+	5.60858i	0.229352	+	0.193514i
$841$	28.3355			0.977087
$842$	−58.4653	−	15.6657i	−2.01485	−	0.539877i
$843$	−2.02661	−	7.56341i	−0.0698001	−	0.260498i
$844$	−9.87806	−	5.70310i	−0.340017	−	0.196309i
$845$	−14.1415	−	25.2163i	−0.486481	−	0.867468i
$846$		−	17.0595i		−	0.586517i
$847$	6.23877	+	1.03727i	0.214367	+	0.0356411i
$848$	−17.7507	−	17.7507i	−0.609561	−	0.609561i
$849$	−2.81287	+	1.62401i	−0.0965374	+	0.0557359i
$850$	−15.5972	+	25.5202i	−0.534981	+	0.875336i
$851$	−30.7301	+	53.2261i	−1.05341	+	1.82457i
$852$	−0.815325	+	3.04284i	−0.0279326	+	0.104246i
$853$	8.16242	−	8.16242i	0.279476	−	0.279476i	−0.553424	−	0.832900i	$-0.686679\pi$
$853$	8.16242	−	8.16242i	0.279476	−	0.279476i	0.832900	+	0.553424i	$0.186679\pi$
$854$	18.1910	−	40.0280i	0.622484	−	1.36973i
$855$	8.13077	+	0.101619i	0.278066	+	0.00347529i
$856$	4.18075	+	7.24127i	0.142895	+	0.247501i
$857$	10.2737	−	2.75283i	0.350942	−	0.0940347i	−0.0790414	−	0.996871i	$-0.525186\pi$
$857$	10.2737	−	2.75283i	0.350942	−	0.0940347i	0.429984	+	0.902837i	$0.358519\pi$
$858$	−1.34206	+	0.359603i	−0.0458171	+	0.0122767i
$859$	−1.67553	−	2.90210i	−0.0571683	−	0.0990183i	0.836025	−	0.548691i	$-0.184874\pi$
$859$	−1.67553	−	2.90210i	−0.0571683	−	0.0990183i	−0.893193	+	0.449673i	$0.851540\pi$
$860$	9.33919	+	9.57559i	0.318464	+	0.326525i
$861$	2.68991	−	5.91895i	0.0916719	−	0.201717i
$862$	−19.9169	+	19.9169i	−0.678374	+	0.678374i
$863$	0.853225	−	3.18428i	0.0290441	−	0.108394i	−0.949882	−	0.312608i	$-0.898797\pi$
$863$	0.853225	−	3.18428i	0.0290441	−	0.108394i	0.978926	+	0.204214i	$0.0654639\pi$
$864$	−2.95723	+	5.12207i	−0.100607	+	0.174256i
$865$	−5.44068	+	1.38519i	−0.184989	+	0.0470978i
$866$	9.46526	−	5.46477i	0.321643	−	0.185700i
$867$	−4.05162	−	4.05162i	−0.137600	−	0.137600i
$868$	−13.3256	−	2.21554i	−0.452300	−	0.0752004i
$869$			15.0532i			0.510646i
$870$	2.83281	−	1.58865i	0.0960412	−	0.0538604i
$871$	−3.64911	−	2.10681i	−0.123645	−	0.0713867i
$872$	0.282079	+	1.05273i	0.00955240	+	0.0356501i
$873$	8.10886	+	2.17276i	0.274443	+	0.0735369i
$874$	−60.8795			−2.05928
$875$	22.1243	+	19.6345i	0.747938	+	0.663769i
$876$	−2.30653			−0.0779303
$877$	3.60082	+	0.964837i	0.121591	+	0.0325802i	0.319101	−	0.947721i	$-0.396619\pi$
$877$	3.60082	+	0.964837i	0.121591	+	0.0325802i	−0.197510	+	0.980301i	$0.563286\pi$
$878$	4.93084	+	18.4021i	0.166408	+	0.621042i
$879$	−13.4037	−	7.73864i	−0.452096	−	0.261018i
$880$	28.4380	−	15.9482i	0.958644	−	0.537613i
$881$		−	37.0966i		−	1.24982i	−0.780698	−	0.624909i	$-0.785136\pi$
$881$		−	37.0966i		−	1.24982i	0.780698	−	0.624909i	$-0.214864\pi$
$882$	5.49130	+	11.1990i	0.184902	+	0.377091i
$883$	3.70321	+	3.70321i	0.124623	+	0.124623i	0.766667	−	0.642044i	$-0.221914\pi$
$883$	3.70321	+	3.70321i	0.124623	+	0.124623i	−0.642044	+	0.766667i	$0.721914\pi$
$884$	0.907786	−	0.524110i	0.0305321	−	0.0176277i
$885$	−23.4562	+	5.97191i	−0.788471	+	0.200744i
$886$	19.5628	−	33.8838i	0.657226	−	1.13835i
$887$	−9.02867	+	33.6955i	−0.303153	+	1.13138i	0.631370	+	0.775481i	$0.282493\pi$
$887$	−9.02867	+	33.6955i	−0.303153	+	1.13138i	−0.934523	+	0.355901i	$0.884174\pi$
$888$	6.79993	−	6.79993i	0.228191	−	0.228191i
$889$	0.679590	+	6.98091i	0.0227927	+	0.234132i
$890$	27.0990	+	27.7849i	0.908360	+	0.931353i
$891$	−1.46711	−	2.54110i	−0.0491499	−	0.0851301i
$892$	−23.3679	+	6.26141i	−0.782415	+	0.209648i
$893$	−33.6296	+	9.01102i	−1.12537	+	0.301542i
$894$	−1.52325	−	2.63834i	−0.0509451	−	0.0882394i
$895$	4.58861	+	0.0573486i	0.153380	+	0.00191695i
$896$	16.5561	+	23.1593i	0.553102	+	0.773699i
$897$	1.76553	−	1.76553i	0.0589493	−	0.0589493i
$898$	1.37657	−	5.13744i	0.0459368	−	0.171439i
$899$	1.77114	−	3.06770i	0.0590707	−	0.102313i
$900$	−3.06362	+	5.01269i	−0.102121	+	0.167090i
$901$	−14.6866	+	8.47933i	−0.489282	+	0.282487i
$902$	−9.08468	−	9.08468i	−0.302487	−	0.302487i
$903$	−4.73051	−	12.6119i	−0.157422	−	0.419698i
$904$			15.1899i			0.505207i
$905$	−0.438125	−	0.781242i	−0.0145638	−	0.0259694i
$906$	3.98305	+	2.29961i	0.132328	+	0.0763995i
$907$	1.20383	+	4.49276i	0.0399726	+	0.149180i	0.983028	−	0.183456i	$-0.0587286\pi$
$907$	1.20383	+	4.49276i	0.0399726	+	0.149180i	−0.943055	+	0.332636i	$0.892062\pi$
$908$	−5.15512	−	1.38131i	−0.171079	−	0.0458404i
$909$	1.75179			0.0581034
$910$	−0.950961	−	2.63502i	−0.0315241	−	0.0873501i
$911$	−36.9996			−1.22585			−0.612925	−	0.790141i	$-0.710007\pi$
$911$	−36.9996			−1.22585			−0.612925	+	0.790141i	$0.710007\pi$
$912$	17.4553	+	4.67714i	0.578003	+	0.154875i
$913$	−6.55008	−	24.4452i	−0.216776	−	0.809019i
$914$	−32.7374	−	18.9009i	−1.08286	−	0.625187i
$915$	−20.0749	−	5.64887i	−0.663656	−	0.186746i
$916$		−	14.5738i		−	0.481531i
$917$	4.18042	−	25.1435i	0.138050	−	0.830311i
$918$	4.22979	+	4.22979i	0.139604	+	0.139604i
$919$	21.2647	−	12.2772i	0.701457	−	0.404987i	−0.106433	−	0.994320i	$-0.533943\pi$
$919$	21.2647	−	12.2772i	0.701457	−	0.404987i	0.807890	+	0.589333i	$0.200610\pi$
$920$	−15.7758	+	26.5525i	−0.520113	+	0.875411i
$921$	12.5381	−	21.7166i	0.413143	−	0.715585i
$922$	5.71439	−	21.3264i	0.188193	−	0.702347i
$923$	−0.503810	+	0.503810i	−0.0165831	+	0.0165831i
$924$	9.07847	−	0.883788i	0.298660	−	0.0290745i
$925$	23.6982	−	22.5422i	0.779192	−	0.741182i
$926$	−4.15537	−	7.19732i	−0.136554	−	0.236519i
$927$	14.0661	−	3.76901i	0.461992	−	0.123790i
$928$	4.65696	−	1.24783i	0.152872	−	0.0409620i
$929$	11.8073	+	20.4509i	0.387386	+	0.670972i	0.992097	−	0.125473i	$-0.0400447\pi$
$929$	11.8073	+	20.4509i	0.387386	+	0.670972i	−0.604711	+	0.796445i	$0.706711\pi$
$930$	−0.216371	+	17.3124i	−0.00709509	+	0.567696i
$931$	19.1762	−	16.7405i	0.628476	−	0.548649i
$932$	20.6009	−	20.6009i	0.674806	−	0.674806i
$933$	−4.12804	+	15.4061i	−0.135146	+	0.504372i
$934$	−0.387618	+	0.671374i	−0.0126833	+	0.0219680i
$935$	−5.43449	−	21.3453i	−0.177727	−	0.698067i
$936$	−0.338334	+	0.195337i	−0.0110588	+	0.00638480i
$937$	−17.6902	−	17.6902i	−0.577913	−	0.577913i	0.356415	−	0.934328i	$-0.383999\pi$
$937$	−17.6902	−	17.6902i	−0.577913	−	0.577913i	−0.934328	+	0.356415i	$0.883999\pi$
$938$	57.7282	+	47.4857i	1.88489	+	1.55046i
$939$		−	30.2453i		−	0.987019i
$940$	6.81339	−	24.2134i	0.222228	−	0.789753i
$941$	45.4456	+	26.2380i	1.48148	+	0.855335i	0.999780	−	0.0209982i	$-0.00668442\pi$
$941$	45.4456	+	26.2380i	1.48148	+	0.855335i	0.481705	+	0.876334i	$0.340018\pi$
$942$	−4.13204	−	15.4210i	−0.134629	−	0.502443i
$943$	22.3013	+	5.97562i	0.726231	+	0.194593i
$944$	−53.7915			−1.75076
$945$	4.85538	−	3.38013i	0.157946	−	0.109956i
$946$	−26.6180			−0.865425
$947$	−39.9796	−	10.7125i	−1.29916	−	0.348109i	−0.458029	−	0.888937i	$-0.651444\pi$
$947$	−39.9796	−	10.7125i	−1.29916	−	0.348109i	−0.841133	+	0.540828i	$0.818111\pi$
$948$	−1.56011	−	5.82241i	−0.0506700	−	0.189103i
$949$	−0.451790	−	0.260841i	−0.0146657	−	0.00846726i
$950$	31.0748	+	9.16473i	1.00820	+	0.297343i
$951$			17.2552i			0.559538i
$952$	12.2258	−	4.58570i	0.396241	−	0.148623i
$953$	15.4152	+	15.4152i	0.499347	+	0.499347i	0.911235	−	0.411888i	$-0.135130\pi$
$953$	15.4152	+	15.4152i	0.499347	+	0.499347i	−0.411888	+	0.911235i	$0.635130\pi$
$954$	−7.79517	+	4.50055i	−0.252378	+	0.145711i
$955$	10.2928	+	6.11533i	0.333068	+	0.197887i
$956$	13.5020	−	23.3861i	0.436686	−	0.756362i
$957$	−0.619059	+	2.31036i	−0.0200113	+	0.0746833i
$958$	27.3519	−	27.3519i	0.883700	−	0.883700i
$959$	−31.7576	−	14.4325i	−1.02551	−	0.466049i
$960$	−0.960188	+	0.936483i	−0.0309899	+	0.0302249i
$961$	−6.05840	−	10.4935i	−0.195432	−	0.338498i
$962$	−2.99193	+	0.801686i	−0.0964638	+	0.0258474i
$963$	5.49389	−	1.47208i	0.177038	−	0.0474372i
$964$	9.17936	+	15.8991i	0.295647	+	0.512076i
$965$	−41.2043	+	40.1871i	−1.32641	+	1.29367i
$966$	−36.0329	+	25.7592i	−1.15934	+	0.828789i
$967$	2.82501	−	2.82501i	0.0908461	−	0.0908461i	−0.660223	−	0.751069i	$-0.729538\pi$
$967$	2.82501	−	2.82501i	0.0908461	−	0.0908461i	0.751069	+	0.660223i	$0.229538\pi$
$968$	0.909526	−	3.39440i	0.0292333	−	0.109100i
$969$	6.10401	−	10.5725i	0.196089	−	0.339636i
$970$	28.7555	+	17.0847i	0.923284	+	0.548556i
$971$	−24.7793	+	14.3063i	−0.795204	+	0.459111i	−0.841791	−	0.539803i	$-0.818499\pi$
$971$	−24.7793	+	14.3063i	−0.795204	+	0.459111i	0.0465872	+	0.998914i	$0.485165\pi$
$972$	0.830817	+	0.830817i	0.0266485	+	0.0266485i
$973$	25.9643	−	31.5647i	0.832377	−	1.01192i
$974$			3.41945i			0.109566i
$975$	−1.16696	+	0.635400i	−0.0373727	+	0.0203491i
$976$	−40.1374	−	23.1733i	−1.28477	−	0.741760i
$977$	1.82720	+	6.81922i	0.0584574	+	0.218166i	0.988975	−	0.148080i	$-0.0473094\pi$
$977$	1.82720	+	6.81922i	0.0584574	+	0.218166i	−0.930518	+	0.366246i	$0.880643\pi$
$978$	−22.4454	−	6.01422i	−0.717723	−	0.192313i
$979$	−28.5826			−0.913504
$980$	3.32130	+	18.0885i	0.106095	+	0.577817i
$981$	0.741356			0.0236697
$982$	12.8971	+	3.45578i	0.411564	+	0.110278i
$983$	−6.17752	−	23.0548i	−0.197032	−	0.735334i	−0.991731	−	0.128331i	$-0.959038\pi$
$983$	−6.17752	−	23.0548i	−0.197032	−	0.735334i	0.794699	−	0.607003i	$-0.207629\pi$
$984$	−3.12855	−	1.80627i	−0.0997345	−	0.0575817i
$985$	3.97523	−	14.1271i	0.126661	−	0.450128i
$986$		−	4.87616i		−	0.155288i
$987$	−16.0917	+	19.5627i	−0.512205	+	0.622686i
$988$	−0.802885	−	0.802885i	−0.0255432	−	0.0255432i
$989$	41.4255	−	23.9170i	1.31725	−	0.760517i
$990$	−2.88445	−	11.3294i	−0.0916738	−	0.360072i
$991$	23.3416	−	40.4288i	0.741470	−	1.28426i	−0.210356	−	0.977625i	$-0.567462\pi$
$991$	23.3416	−	40.4288i	0.741470	−	1.28426i	0.951826	−	0.306638i	$-0.0992042\pi$
$992$	−6.65195	+	24.8254i	−0.211200	+	0.788207i
$993$	0.635446	−	0.635446i	0.0201653	−	0.0201653i
$994$	10.2823	−	7.35064i	0.326136	−	0.233148i
$995$	0.405783	−	32.4677i	0.0128642	−	1.02930i
$996$	5.06698	+	8.77627i	0.160553	+	0.278087i
$997$	−52.6121	+	14.0974i	−1.66624	+	0.446468i	−0.964094	−	0.265562i	$-0.914443\pi$
$997$	−52.6121	+	14.0974i	−1.66624	+	0.446468i	−0.702149	+	0.712030i	$0.747776\pi$
$998$	−4.00764	+	1.07384i	−0.126859	+	0.0339919i
$999$	−3.27071	−	5.66503i	−0.103481	−	0.179234i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	105.2.u.a.73.7	yes	32
3.2	odd	2		315.2.bz.d.73.2		32
5.2	odd	4	inner	105.2.u.a.52.2	✓	32
5.3	odd	4		525.2.bc.e.157.7		32
5.4	even	2		525.2.bc.e.493.2		32
7.2	even	3		735.2.v.b.313.2		32
7.3	odd	6		735.2.m.c.538.3		32
7.4	even	3		735.2.m.c.538.4		32
7.5	odd	6	inner	105.2.u.a.103.2	yes	32
7.6	odd	2		735.2.v.b.178.7		32
15.2	even	4		315.2.bz.d.262.7		32
21.5	even	6		315.2.bz.d.208.7		32
35.2	odd	12		735.2.v.b.607.7		32
35.12	even	12	inner	105.2.u.a.82.7	yes	32
35.17	even	12		735.2.m.c.97.4		32
35.19	odd	6		525.2.bc.e.418.7		32
35.27	even	4		735.2.v.b.472.2		32
35.32	odd	12		735.2.m.c.97.3		32
35.33	even	12		525.2.bc.e.82.2		32
105.47	odd	12		315.2.bz.d.82.2		32

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
105.2.u.a.52.2	✓	32	5.2	odd	4	inner
105.2.u.a.73.7	yes	32	1.1	even	1	trivial
105.2.u.a.82.7	yes	32	35.12	even	12	inner
105.2.u.a.103.2	yes	32	7.5	odd	6	inner
315.2.bz.d.73.2		32	3.2	odd	2
315.2.bz.d.82.2		32	105.47	odd	12
315.2.bz.d.208.7		32	21.5	even	6
315.2.bz.d.262.7		32	15.2	even	4
525.2.bc.e.82.2		32	35.33	even	12
525.2.bc.e.157.7		32	5.3	odd	4
525.2.bc.e.418.7		32	35.19	odd	6
525.2.bc.e.493.2		32	5.4	even	2
735.2.m.c.97.3		32	35.32	odd	12
735.2.m.c.97.4		32	35.17	even	12
735.2.m.c.538.3		32	7.3	odd	6
735.2.m.c.538.4		32	7.4	even	3
735.2.v.b.178.7		32	7.6	odd	2
735.2.v.b.313.2		32	7.2	even	3
735.2.v.b.472.2		32	35.27	even	4
735.2.v.b.607.7		32	35.2	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:	\( N \)	\(=\)	\( 105 = 3 \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	105.u (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.72112 + 0.461174i) q^{2} +(0.258819 + 0.965926i) q^{3} +(1.01754 + 0.587476i) q^{4} +(-1.95031 + 1.09375i) q^{5} +1.78184i q^{6} +(1.68076 - 2.04329i) q^{7} +(-1.03952 - 1.03952i) q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\)	\(q+(1.72112 + 0.461174i) q^{2} +(0.258819 + 0.965926i) q^{3} +(1.01754 + 0.587476i) q^{4} +(-1.95031 + 1.09375i) q^{5} +1.78184i q^{6} +(1.68076 - 2.04329i) q^{7} +(-1.03952 - 1.03952i) q^{8} +(-0.866025 + 0.500000i) q^{9} +(-3.86114 + 0.983040i) q^{10} +(1.46711 - 2.54110i) q^{11} +(-0.304100 + 1.13492i) q^{12} +(-0.187911 + 0.187911i) q^{13} +(3.83511 - 2.74164i) q^{14} +(-1.56126 - 1.60077i) q^{15} +(-2.48470 - 4.30362i) q^{16} +(-3.24271 + 0.868882i) q^{17} +(-1.72112 + 0.461174i) q^{18} +(1.81824 + 3.14928i) q^{19} +(-2.62707 - 0.0328332i) q^{20} +(2.40868 + 1.09464i) q^{21} +(3.69696 - 3.69696i) q^{22} +(-2.43175 + 9.07540i) q^{23} +(0.735051 - 1.27315i) q^{24} +(2.60744 - 4.26629i) q^{25} +(-0.410078 + 0.236759i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(2.91062 - 1.09173i) q^{28} +0.815162i q^{29} +(-1.94888 - 3.47514i) q^{30} +(-3.76330 - 2.17274i) q^{31} +(-1.53077 - 5.71292i) q^{32} +(2.83423 + 0.759430i) q^{33} -5.98182 q^{34} +(-1.04316 + 5.82339i) q^{35} -1.17495 q^{36} +(6.31853 + 1.69304i) q^{37} +(1.67705 + 6.25883i) q^{38} +(-0.230143 - 0.132873i) q^{39} +(3.16436 + 0.890417i) q^{40} -2.45734i q^{41} +(3.64082 + 2.99484i) q^{42} +(-3.59998 - 3.59998i) q^{43} +(2.98567 - 1.72378i) q^{44} +(1.14215 - 1.92237i) q^{45} +(-8.37068 + 14.4984i) q^{46} +(-2.47795 + 9.24785i) q^{47} +(3.51389 - 3.51389i) q^{48} +(-1.35010 - 6.86857i) q^{49} +(6.45523 - 6.14034i) q^{50} +(-1.67855 - 2.90734i) q^{51} +(-0.301600 + 0.0808136i) q^{52} +(4.87944 - 1.30744i) q^{53} +(-0.890920 - 1.54312i) q^{54} +(-0.0819944 + 6.56058i) q^{55} +(-3.87122 + 0.376863i) q^{56} +(-2.57138 + 2.57138i) q^{57} +(-0.375932 + 1.40300i) q^{58} +(5.41228 - 9.37435i) q^{59} +(-0.648221 - 2.54605i) q^{60} +(8.07692 - 4.66321i) q^{61} +(-5.47509 - 5.47509i) q^{62} +(-0.433932 + 2.60992i) q^{63} -0.599827i q^{64} +(0.160958 - 0.572013i) q^{65} +(4.52784 + 2.61415i) q^{66} +(4.10379 + 15.3155i) q^{67} +(-3.81003 - 1.02090i) q^{68} -9.39554 q^{69} +(-4.48100 + 9.54170i) q^{70} +2.68111 q^{71} +(1.42001 + 0.380490i) q^{72} +(0.508083 + 1.89619i) q^{73} +(10.0942 + 5.82788i) q^{74} +(4.79578 + 1.41439i) q^{75} +4.27269i q^{76} +(-2.72637 - 7.26871i) q^{77} +(-0.334828 - 0.334828i) q^{78} +(-4.44293 + 2.56513i) q^{79} +(9.55300 + 5.67578i) q^{80} +(0.500000 - 0.866025i) q^{81} +(1.13326 - 4.22938i) q^{82} +(6.09879 - 6.09879i) q^{83} +(1.80785 + 2.52889i) q^{84} +(5.37397 - 5.24130i) q^{85} +(-4.53580 - 7.85623i) q^{86} +(-0.787386 + 0.210980i) q^{87} +(-4.16661 + 1.11644i) q^{88} +(-4.87057 - 8.43608i) q^{89} +(2.85232 - 2.78191i) q^{90} +(0.0681246 + 0.699791i) q^{91} +(-7.80598 + 7.80598i) q^{92} +(1.12469 - 4.19741i) q^{93} +(-8.52974 + 14.7739i) q^{94} +(-6.99064 - 4.15339i) q^{95} +(5.12207 - 2.95723i) q^{96} +(-5.93610 - 5.93610i) q^{97} +(0.843909 - 12.4443i) q^{98} +2.93421i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8}+O(q^{10}) \) 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8	\( 32 q - 12 q^{5} + 8 q^{7} - 24 q^{8} - 12 q^{10} - 8 q^{11} - 8 q^{15} - 8 q^{21} - 8 q^{22} - 8 q^{23} + 12 q^{25} + 24 q^{26} - 24 q^{28} + 8 q^{30} + 24 q^{31} + 24 q^{32} - 36 q^{33} + 44 q^{35} - 32 q^{36} + 4 q^{37} + 12 q^{38} + 12 q^{40} + 16 q^{42} + 40 q^{43} - 40 q^{46} - 60 q^{47} + 72 q^{50} - 8 q^{51} - 108 q^{52} - 24 q^{53} - 48 q^{56} + 16 q^{57} + 4 q^{58} + 20 q^{60} - 24 q^{61} + 4 q^{63} - 4 q^{65} + 72 q^{66} + 8 q^{67} + 132 q^{68} + 4 q^{70} - 16 q^{71} + 12 q^{72} + 36 q^{73} + 48 q^{75} + 60 q^{77} + 80 q^{78} - 12 q^{80} + 16 q^{81} + 12 q^{82} - 72 q^{85} - 16 q^{86} - 24 q^{87} - 32 q^{88} - 24 q^{91} - 56 q^{92} - 24 q^{93} - 12 q^{95} - 72 q^{98}+O(q^{100}) \) 32 * q - 12 * q^5 + 8 * q^7 - 24 * q^8 - 12 * q^10 - 8 * q^11 - 8 * q^15 - 8 * q^21 - 8 * q^22 - 8 * q^23 + 12 * q^25 + 24 * q^26 - 24 * q^28 + 8 * q^30 + 24 * q^31 + 24 * q^32 - 36 * q^33 + 44 * q^35 - 32 * q^36 + 4 * q^37 + 12 * q^38 + 12 * q^40 + 16 * q^42 + 40 * q^43 - 40 * q^46 - 60 * q^47 + 72 * q^50 - 8 * q^51 - 108 * q^52 - 24 * q^53 - 48 * q^56 + 16 * q^57 + 4 * q^58 + 20 * q^60 - 24 * q^61 + 4 * q^63 - 4 * q^65 + 72 * q^66 + 8 * q^67 + 132 * q^68 + 4 * q^70 - 16 * q^71 + 12 * q^72 + 36 * q^73 + 48 * q^75 + 60 * q^77 + 80 * q^78 - 12 * q^80 + 16 * q^81 + 12 * q^82 - 72 * q^85 - 16 * q^86 - 24 * q^87 - 32 * q^88 - 24 * q^91 - 56 * q^92 - 24 * q^93 - 12 * q^95 - 72 * q^98

Introduction

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