LMFDB - Embedded newform 230.2.j.a.29.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(9,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(22))

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

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

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

chi := DirichletCharacter("230.9");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.j (of order $22$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			29.6
Character	$\chi$	$=$	230.29
Dual form			230.2.j.a.119.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.909632 - 0.415415i) q^{2} +(0.880099 - 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.33842 + 1.79127i) q^{5} +(-2.04571 + 2.36087i) q^{6} +(-3.80587 - 0.547202i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-5.68573 - 3.65400i) q^{9} +O(q^{10})$	\(q+(-0.909632 - 0.415415i) q^{2} +(0.880099 - 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.33842 + 1.79127i) q^{5} +(-2.04571 + 2.36087i) q^{6} +(-3.80587 - 0.547202i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-5.68573 - 3.65400i) q^{9} +(1.96159 - 1.07339i) q^{10} +(-1.34792 - 2.95153i) q^{11} +(2.84158 - 1.29771i) q^{12} +(1.88976 - 0.271707i) q^{13} +(3.23463 + 2.07877i) q^{14} +(4.19110 + 5.58819i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-4.55253 - 3.94479i) q^{17} +(3.65400 + 5.68573i) q^{18} +(2.42138 + 2.79442i) q^{19} +(-2.23023 + 0.161521i) q^{20} +(-4.98970 + 10.9259i) q^{21} +3.24475i q^{22} +(4.49587 - 1.66947i) q^{23} -3.12388 q^{24} +(-1.41727 - 4.79493i) q^{25} +(-1.83186 - 0.537883i) q^{26} +(-8.87367 + 7.68907i) q^{27} +(-2.07877 - 3.23463i) q^{28} +(0.494989 - 0.571248i) q^{29} +(-1.49094 - 6.82424i) q^{30} +(9.29383 - 2.72892i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-10.0330 + 1.44253i) q^{33} +(2.50240 + 5.47950i) q^{34} +(6.07404 - 6.08495i) q^{35} +(-0.961854 - 6.68984i) q^{36} +(0.639776 - 0.995511i) q^{37} +(-1.04172 - 3.54777i) q^{38} +(0.848781 - 5.90340i) q^{39} +(2.09578 + 0.779545i) q^{40} +(-3.65770 + 2.35066i) q^{41} +(9.07758 - 7.86577i) q^{42} +(0.624091 - 2.12546i) q^{43} +(1.34792 - 2.95153i) q^{44} +(14.1552 - 5.29408i) q^{45} +(-4.78311 - 0.349047i) q^{46} +3.45884i q^{47} +(2.84158 + 1.29771i) q^{48} +(7.46880 + 2.19304i) q^{49} +(-0.702689 + 4.95038i) q^{50} +(-15.8306 + 10.1737i) q^{51} +(1.44287 + 1.25026i) q^{52} +(-10.6234 - 1.52741i) q^{53} +(11.2659 - 3.30797i) q^{54} +(7.09104 + 1.53590i) q^{55} +(0.547202 + 3.80587i) q^{56} +(10.5069 - 4.79834i) q^{57} +(-0.687563 + 0.313999i) q^{58} +(-1.24189 - 8.63752i) q^{59} +(-1.47869 + 6.82691i) q^{60} +(3.29564 - 0.967689i) q^{61} +(-9.58760 - 1.37849i) q^{62} +(19.6397 + 17.0179i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-2.04260 + 3.74873i) q^{65} +(9.72562 + 2.85570i) q^{66} +(10.2270 + 4.67052i) q^{67} -6.02386i q^{68} +(-1.04717 - 14.9450i) q^{69} +(-8.05292 + 3.01182i) q^{70} +(2.37494 - 5.20039i) q^{71} +(-1.90413 + 6.48487i) q^{72} +(1.37929 - 1.19516i) q^{73} +(-0.995511 + 0.639776i) q^{74} +(-15.6194 + 0.0280389i) q^{75} +(-0.526216 + 3.65991i) q^{76} +(3.51492 + 11.9707i) q^{77} +(-3.22444 + 5.01732i) q^{78} +(-0.926009 - 6.44053i) q^{79} +(-1.58256 - 1.57972i) q^{80} +(6.81417 + 14.9209i) q^{81} +(4.30366 - 0.618773i) q^{82} +(-0.361436 + 0.562406i) q^{83} +(-11.5248 + 3.38399i) q^{84} +(13.1594 - 2.87502i) q^{85} +(-1.45064 + 1.67413i) q^{86} +(-1.27659 - 1.98641i) q^{87} +(-2.45222 + 2.12486i) q^{88} +(-2.31890 - 0.680890i) q^{89} +(-15.0752 - 1.06460i) q^{90} -7.34088 q^{91} +(4.20587 + 2.30448i) q^{92} -30.2585i q^{93} +(1.43685 - 3.14627i) q^{94} +(-8.24637 + 0.597232i) q^{95} +(-2.04571 - 2.36087i) q^{96} +(0.0374373 + 0.0582536i) q^{97} +(-5.88284 - 5.09751i) q^{98} +(-3.12097 + 21.7069i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	$ 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) $ 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$-1$	$e\left(\frac{9}{11}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.909632	−	0.415415i	−0.643207	−	0.293743i
$2$	−0.909632	−	0.415415i	−0.643207	−	0.293743i
$3$	0.880099	−	2.99734i	0.508126	−	1.73052i	−0.160612	−	0.987018i	$-0.551347\pi$
$3$	0.880099	−	2.99734i	0.508126	−	1.73052i	0.668737	−	0.743499i	$-0.266835\pi$
$4$	0.654861	+	0.755750i	0.327430	+	0.377875i
$5$	−1.33842	+	1.79127i	−0.598559	+	0.801079i
$5$	−1.33842	+	1.79127i	−0.598559	+	0.801079i
$6$	−2.04571	+	2.36087i	−0.835157	+	0.963822i
$7$	−3.80587	−	0.547202i	−1.43849	−	0.206823i	−0.621470	−	0.783438i	$-0.713464\pi$
$7$	−3.80587	−	0.547202i	−1.43849	−	0.206823i	−0.817016	+	0.576615i	$0.804373\pi$
$8$	−0.281733	−	0.959493i	−0.0996075	−	0.339232i
$9$	−5.68573	−	3.65400i	−1.89524	−	1.21800i
$10$	1.96159	−	1.07339i	0.620308	−	0.339437i
$11$	−1.34792	−	2.95153i	−0.406412	−	0.889918i	−0.996580	−	0.0826376i	$-0.973666\pi$
$11$	−1.34792	−	2.95153i	−0.406412	−	0.889918i	0.590168	−	0.807281i	$-0.299062\pi$
$12$	2.84158	−	1.29771i	0.820294	−	0.374616i
$13$	1.88976	−	0.271707i	0.524126	−	0.0753580i	0.124827	−	0.992179i	$-0.460162\pi$
$13$	1.88976	−	0.271707i	0.524126	−	0.0753580i	0.399299	+	0.916821i	$0.369253\pi$
$14$	3.23463	+	2.07877i	0.864491	+	0.555575i
$15$	4.19110	+	5.58819i	1.08214	+	1.44286i
$16$	−0.142315	+	0.989821i	−0.0355787	+	0.247455i
$17$	−4.55253	−	3.94479i	−1.10415	−	0.956752i	−0.104863	−	0.994487i	$-0.533440\pi$
$17$	−4.55253	−	3.94479i	−1.10415	−	0.956752i	−0.999288	+	0.0377344i	$0.987986\pi$
$18$	3.65400	+	5.68573i	0.861255	+	1.34014i
$19$	2.42138	+	2.79442i	0.555503	+	0.641084i	0.962156	−	0.272498i	$-0.0878499\pi$
$19$	2.42138	+	2.79442i	0.555503	+	0.641084i	−0.406654	+	0.913582i	$0.633304\pi$
$20$	−2.23023	+	0.161521i	−0.498694	+	0.0361172i
$21$	−4.98970	+	10.9259i	−1.08884	+	2.38423i
$22$			3.24475i			0.691782i
$23$	4.49587	−	1.66947i	0.937454	−	0.348109i
$23$	4.49587	−	1.66947i	0.937454	−	0.348109i
$24$	−3.12388			−0.637660
$25$	−1.41727	−	4.79493i	−0.283455	−	0.958986i
$26$	−1.83186	−	0.537883i	−0.359257	−	0.105488i
$27$	−8.87367	+	7.68907i	−1.70774	+	1.47976i
$28$	−2.07877	−	3.23463i	−0.392851	−	0.611287i
$29$	0.494989	−	0.571248i	0.0919172	−	0.106078i	−0.707928	−	0.706285i	$-0.750370\pi$
$29$	0.494989	−	0.571248i	0.0919172	−	0.106078i	0.799845	+	0.600207i	$0.204915\pi$
$30$	−1.49094	−	6.82424i	−0.272207	−	1.24593i
$31$	9.29383	−	2.72892i	1.66922	−	0.490128i	0.695625	−	0.718405i	$-0.255127\pi$
$31$	9.29383	−	2.72892i	1.66922	−	0.490128i	0.973596	+	0.228277i	$0.0733092\pi$
$32$	0.540641	−	0.841254i	0.0955727	−	0.148714i
$33$	−10.0330	+	1.44253i	−1.74653	+	0.251113i
$34$	2.50240	+	5.47950i	0.429159	+	0.939726i
$35$	6.07404	−	6.08495i	1.02670	−	1.02854i
$36$	−0.961854	−	6.68984i	−0.160309	−	1.11497i
$37$	0.639776	−	0.995511i	0.105179	−	0.163661i	−0.784675	−	0.619908i	$-0.787170\pi$
$37$	0.639776	−	0.995511i	0.105179	−	0.163661i	0.889853	+	0.456246i	$0.150806\pi$
$38$	−1.04172	−	3.54777i	−0.168989	−	0.575525i
$39$	0.848781	−	5.90340i	0.135914	−	0.945300i
$40$	2.09578	+	0.779545i	0.331373	+	0.123257i
$41$	−3.65770	+	2.35066i	−0.571237	+	0.367111i	−0.794145	−	0.607728i	$-0.792081\pi$
$41$	−3.65770	+	2.35066i	−0.571237	+	0.367111i	0.222909	+	0.974839i	$0.428445\pi$
$42$	9.07758	−	7.86577i	1.40070	−	1.21371i
$43$	0.624091	−	2.12546i	0.0951730	−	0.324130i	−0.898121	−	0.439749i	$-0.855067\pi$
$43$	0.624091	−	2.12546i	0.0951730	−	0.324130i	0.993294	+	0.115620i	$0.0368854\pi$
$44$	1.34792	−	2.95153i	0.203206	−	0.444959i
$45$	14.1552	−	5.29408i	2.11013	−	0.789195i
$46$	−4.78311	−	0.349047i	−0.705231	−	0.0514642i
$47$			3.45884i			0.504523i	0.967659	+	0.252262i	$0.0811743\pi$
$47$			3.45884i			0.504523i	−0.967659	+	0.252262i	$0.918826\pi$
$48$	2.84158	+	1.29771i	0.410147	+	0.187308i
$49$	7.46880	+	2.19304i	1.06697	+	0.313291i
$50$	−0.702689	+	4.95038i	−0.0993752	+	0.700089i
$51$	−15.8306	+	10.1737i	−2.21672	+	1.42460i
$52$	1.44287	+	1.25026i	0.200091	+	0.173380i
$53$	−10.6234	−	1.52741i	−1.45923	−	0.209806i	−0.633444	−	0.773788i	$-0.718359\pi$
$53$	−10.6234	−	1.52741i	−1.45923	−	0.209806i	−0.825787	+	0.563983i	$0.809269\pi$
$54$	11.2659	−	3.30797i	1.53310	−	0.450158i
$55$	7.09104	+	1.53590i	0.956156	+	0.207100i
$56$	0.547202	+	3.80587i	0.0731230	+	0.508581i
$57$	10.5069	−	4.79834i	1.39167	−	0.635555i
$58$	−0.687563	+	0.313999i	−0.0902814	+	0.0412301i
$59$	−1.24189	−	8.63752i	−0.161680	−	1.12451i	−0.895467	−	0.445129i	$-0.853158\pi$
$59$	−1.24189	−	8.63752i	−0.161680	−	1.12451i	0.733787	−	0.679380i	$-0.237751\pi$
$60$	−1.47869	+	6.82691i	−0.190898	+	0.881350i
$61$	3.29564	−	0.967689i	0.421964	−	0.123900i	−0.0638551	−	0.997959i	$-0.520340\pi$
$61$	3.29564	−	0.967689i	0.421964	−	0.123900i	0.485819	+	0.874059i	$0.338521\pi$
$62$	−9.58760	−	1.37849i	−1.21763	−	0.175068i
$63$	19.6397	+	17.0179i	2.47437	+	2.14405i
$64$	−0.841254	+	0.540641i	−0.105157	+	0.0675801i
$65$	−2.04260	+	3.74873i	−0.253353	+	0.464973i
$66$	9.72562	+	2.85570i	1.19714	+	0.351512i
$67$	10.2270	+	4.67052i	1.24943	+	0.570595i	0.926666	−	0.375885i	$-0.122661\pi$
$67$	10.2270	+	4.67052i	1.24943	+	0.570595i	0.322763	+	0.946480i	$0.395388\pi$
$68$		−	6.02386i		−	0.730501i
$69$	−1.04717	−	14.9450i	−0.126064	−	1.79916i
$70$	−8.05292	+	3.01182i	−0.962508	+	0.359981i
$71$	2.37494	−	5.20039i	0.281854	−	0.617173i	−0.714763	−	0.699367i	$-0.753465\pi$
$71$	2.37494	−	5.20039i	0.281854	−	0.617173i	0.996616	+	0.0821938i	$0.0261927\pi$
$72$	−1.90413	+	6.48487i	−0.224404	+	0.764249i
$73$	1.37929	−	1.19516i	0.161434	−	0.139883i	−0.570398	−	0.821368i	$-0.693211\pi$
$73$	1.37929	−	1.19516i	0.161434	−	0.139883i	0.731832	+	0.681485i	$0.238666\pi$
$74$	−0.995511	+	0.639776i	−0.115726	+	0.0743725i
$75$	−15.6194	+	0.0280389i	−1.80357	+	0.00323765i
$76$	−0.526216	+	3.65991i	−0.0603611	+	0.419821i
$77$	3.51492	+	11.9707i	0.400562	+	1.36419i
$78$	−3.22444	+	5.01732i	−0.365096	+	0.568100i
$79$	−0.926009	−	6.44053i	−0.104184	−	0.724616i	−0.973221	−	0.229870i	$-0.926170\pi$
$79$	−0.926009	−	6.44053i	−0.104184	−	0.724616i	0.869037	−	0.494747i	$-0.164739\pi$
$80$	−1.58256	−	1.57972i	−0.176935	−	0.176618i
$81$	6.81417	+	14.9209i	0.757130	+	1.65788i
$82$	4.30366	−	0.618773i	0.475260	−	0.0683320i
$83$	−0.361436	+	0.562406i	−0.0396728	+	0.0617321i	−0.860523	−	0.509411i	$-0.829863\pi$
$83$	−0.361436	+	0.562406i	−0.0396728	+	0.0617321i	0.820851	+	0.571143i	$0.193500\pi$
$84$	−11.5248	+	3.38399i	−1.25746	+	0.369224i
$85$	13.1594	−	2.87502i	1.42733	−	0.311839i
$86$	−1.45064	+	1.67413i	−0.156427	+	0.180526i
$87$	−1.27659	−	1.98641i	−0.136864	−	0.212965i
$88$	−2.45222	+	2.12486i	−0.261407	+	0.226511i
$89$	−2.31890	−	0.680890i	−0.245803	−	0.0721742i	0.156510	−	0.987676i	$-0.449976\pi$
$89$	−2.31890	−	0.680890i	−0.245803	−	0.0721742i	−0.402313	+	0.915502i	$0.631794\pi$
$90$	−15.0752	−	1.06460i	−1.58907	−	0.112219i
$91$	−7.34088			−0.769534
$92$	4.20587	+	2.30448i	0.438493	+	0.240259i
$93$		−	30.2585i		−	3.13766i
$94$	1.43685	−	3.14627i	0.148200	−	0.324513i
$95$	−8.24637	+	0.597232i	−0.846060	+	0.0612747i
$96$	−2.04571	−	2.36087i	−0.208789	−	0.240956i
$97$	0.0374373	+	0.0582536i	0.00380118	+	0.00591475i	0.843149	−	0.537680i	$-0.180699\pi$
$97$	0.0374373	+	0.0582536i	0.00380118	+	0.00591475i	−0.839348	+	0.543595i	$0.817063\pi$
$98$	−5.88284	−	5.09751i	−0.594256	−	0.514926i
$99$	−3.12097	+	21.7069i	−0.313670	+	2.18162i
$100$	2.69565	−	4.21111i	0.269565	−	0.421111i
$101$	−4.86892	−	3.12907i	−0.484476	−	0.311354i	0.275504	−	0.961300i	$-0.411155\pi$
$101$	−4.86892	−	3.12907i	−0.484476	−	0.311354i	−0.759980	+	0.649946i	$0.774791\pi$
$102$	18.6263	−	2.67806i	1.84428	−	0.265167i
$103$	−8.10752	+	3.70258i	−0.798858	+	0.364826i	−0.772652	−	0.634830i	$-0.781070\pi$
$103$	−8.10752	+	3.70258i	−0.798858	+	0.364826i	−0.0262064	+	0.999657i	$0.508343\pi$
$104$	−0.793109	−	1.73667i	−0.0777707	−	0.170294i
$105$	−12.8929	−	23.5613i	−1.25822	−	2.29935i
$106$	9.02884	+	5.80248i	0.876959	+	0.563587i
$107$	−1.32004	−	4.49564i	−0.127613	−	0.434610i	0.870755	−	0.491717i	$-0.163631\pi$
$107$	−1.32004	−	4.49564i	−0.127613	−	0.434610i	−0.998368	+	0.0571070i	$0.981812\pi$
$108$	−11.6220	−	1.67100i	−1.11833	−	0.160792i
$109$	−4.54952	+	5.25043i	−0.435765	+	0.502900i	−0.930575	−	0.366102i	$-0.880692\pi$
$109$	−4.54952	+	5.25043i	−0.435765	+	0.502900i	0.494810	+	0.869001i	$0.335238\pi$
$110$	−5.81221	−	4.34283i	−0.554172	−	0.414072i
$111$	−2.42082	−	2.79378i	−0.229774	−	0.265174i
$112$	1.08326	−	3.68926i	0.102359	−	0.348602i
$113$	9.35804	+	4.27367i	0.880330	+	0.402033i	0.803706	−	0.595027i	$-0.202859\pi$
$113$	9.35804	+	4.27367i	0.880330	+	0.402033i	0.0766242	+	0.997060i	$0.475586\pi$
$114$	−11.5507			−1.08182
$115$	−3.02689	+	10.2878i	−0.282259	+	0.959338i
$116$	0.755869			0.0701807
$117$	−11.7375	−	5.36034i	−1.08513	−	0.495563i
$118$	−2.45849	+	8.37286i	−0.226323	+	0.770784i
$119$	15.1678	+	17.5045i	1.39043	+	1.60464i
$120$	4.18106	−	5.59571i	0.381677	−	0.510816i
$121$	0.308846	−	0.356427i	0.0280769	−	0.0324024i
$122$	−3.39982	−	0.488820i	−0.307805	−	0.0442557i
$123$	3.82660	+	13.0322i	0.345033	+	1.17507i
$124$	8.14854	+	5.23675i	0.731761	+	0.470274i
$125$	10.4859	+	3.87891i	0.937887	+	0.346940i
$126$	−10.7954	−	23.6386i	−0.961731	−	2.10590i
$127$	−13.7245	+	6.26776i	−1.21785	+	0.556174i	−0.917531	−	0.397665i	$-0.869821\pi$
$127$	−13.7245	+	6.26776i	−1.21785	+	0.556174i	−0.300320	+	0.953839i	$0.597093\pi$
$128$	0.989821	−	0.142315i	0.0874887	−	0.0125790i
$129$	−5.82147	−	3.74123i	−0.512552	−	0.329397i
$130$	3.41529	−	2.56144i	0.299541	−	0.224653i
$131$	0.876006	−	6.09275i	0.0765370	−	0.532326i	−0.915096	−	0.403236i	$-0.867885\pi$
$131$	0.876006	−	6.09275i	0.0765370	−	0.532326i	0.991633	−	0.129090i	$-0.0412056\pi$
$132$	−7.66043	−	6.63780i	−0.666755	−	0.577747i
$133$	−7.68635	−	11.9602i	−0.666491	−	1.03708i
$134$	−7.36262	−	8.49691i	−0.636033	−	0.734022i
$135$	−1.89651	−	26.1863i	−0.163225	−	2.25376i
$136$	−2.50240	+	5.47950i	−0.214579	+	0.469863i
$137$			10.6768i			0.912181i	0.889933	+	0.456090i	$0.150751\pi$
$137$			10.6768i			0.912181i	−0.889933	+	0.456090i	$0.849249\pi$
$138$	−5.25583	+	14.0294i	−0.447406	+	1.19426i
$139$	−5.71482			−0.484725			−0.242362	−	0.970186i	$-0.577922\pi$
$139$	−5.71482			−0.484725			−0.242362	+	0.970186i	$0.577922\pi$
$140$	8.57635	+	0.605656i	0.724834	+	0.0511872i
$141$	10.3673	+	3.04412i	0.873086	+	0.256361i
$142$	−4.32064	+	3.74386i	−0.362580	+	0.314178i
$143$	−3.34919	−	5.21145i	−0.280074	−	0.435803i
$144$	4.42597	−	5.10784i	0.368831	−	0.425653i
$145$	0.360755	+	1.65123i	0.0299591	+	0.137127i
$146$	−1.75114	+	0.514180i	−0.144925	+	0.0425539i
$147$	13.1466	−	20.4565i	1.08431	−	1.68722i
$148$	1.17132	−	0.168411i	0.0962821	−	0.0138433i
$149$	5.53347	+	12.1166i	0.453320	+	0.992632i	0.988960	+	0.148185i	$0.0473432\pi$
$149$	5.53347	+	12.1166i	0.453320	+	0.992632i	−0.535640	+	0.844447i	$0.679930\pi$
$150$	14.2195	+	6.46302i	1.16102	+	0.527704i
$151$	0.452539	+	3.14748i	0.0368271	+	0.256138i	0.999915	−	0.0130496i	$-0.00415392\pi$
$151$	0.452539	+	3.14748i	0.0368271	+	0.256138i	−0.963088	+	0.269188i	$0.913245\pi$
$152$	1.99905	−	3.11058i	0.162144	−	0.252301i
$153$	11.4702	+	39.0639i	0.927311	+	3.15813i
$154$	1.77553	−	12.3491i	0.143076	−	0.995119i
$155$	−7.55082	+	20.3002i	−0.606497	+	1.63055i
$156$	5.01732	−	3.22444i	0.401707	−	0.258162i
$157$	5.26961	−	4.56614i	0.420560	−	0.364418i	−0.418721	−	0.908115i	$-0.637521\pi$
$157$	5.26961	−	4.56614i	0.420560	−	0.364418i	0.839281	+	0.543697i	$0.182976\pi$
$158$	−1.83317	+	6.24319i	−0.145839	+	0.496682i
$159$	−13.9278	+	30.4976i	−1.10454	+	2.41862i
$160$	0.783306	+	2.09438i	0.0619258	+	0.165575i
$161$	−18.0243	+	3.89365i	−1.42051	+	0.306863i
$162$		−	16.4033i		−	1.28876i
$163$	−1.69515	−	0.774148i	−0.132774	−	0.0606360i	0.347920	−	0.937524i	$-0.386888\pi$
$163$	−1.69515	−	0.774148i	−0.132774	−	0.0606360i	−0.480694	+	0.876888i	$0.659615\pi$
$164$	−4.17179	−	1.22495i	−0.325762	−	0.0956525i
$165$	10.8444	−	19.9025i	0.844238	−	1.54941i
$166$	0.562406	−	0.361436i	0.0436512	−	0.0280529i
$167$	10.4732	+	9.07509i	0.810441	+	0.702251i	0.957989	−	0.286803i	$-0.0925927\pi$
$167$	10.4732	+	9.07509i	0.810441	+	0.702251i	−0.147548	+	0.989055i	$0.547138\pi$
$168$	11.8891	+	1.70939i	0.917264	+	0.131883i
$169$	−8.97603	+	2.63560i	−0.690463	+	0.202738i
$170$	−13.1645	−	2.85139i	−1.00967	−	0.218692i
$171$	−3.55650	−	24.7360i	−0.271973	−	1.89161i
$172$	2.01501	−	0.920223i	0.153643	−	0.0701664i
$173$	1.04312	−	0.476376i	0.0793067	−	0.0362182i	−0.375367	−	0.926876i	$-0.622483\pi$
$173$	1.04312	−	0.476376i	0.0793067	−	0.0362182i	0.454673	+	0.890658i	$0.349756\pi$
$174$	0.336040	+	2.33721i	0.0254752	+	0.177184i
$175$	2.77017	+	19.0244i	0.209405	+	1.43811i
$176$	3.11331	−	0.914151i	0.234675	−	0.0689067i
$177$	−26.9826	−	3.87951i	−2.02814	−	0.291602i
$178$	1.82649	+	1.58267i	0.136901	+	0.118626i
$179$	17.1805	−	11.0413i	1.28413	−	0.825262i	0.292741	−	0.956192i	$-0.405433\pi$
$179$	17.1805	−	11.0413i	1.28413	−	0.825262i	0.991392	+	0.130929i	$0.0417961\pi$
$180$	13.2707	+	7.23087i	0.989137	+	0.538957i
$181$	14.7310	+	4.32542i	1.09495	+	0.321506i	0.778843	−	0.627218i	$-0.215807\pi$
$181$	14.7310	+	4.32542i	1.09495	+	0.321506i	0.316105	+	0.948724i	$0.397625\pi$
$182$	6.67750	+	3.04951i	0.494969	+	0.226045i
$183$		−	10.7298i		−	0.793173i
$184$	−2.86848	−	3.84341i	−0.211467	−	0.283340i
$185$	0.926938	+	2.47842i	0.0681498	+	0.182217i
$186$	−12.5698	+	27.5241i	−0.921666	+	2.01817i
$187$	−5.50672	+	18.7542i	−0.402691	+	1.37144i
$188$	−2.61401	+	2.26506i	−0.190647	+	0.165196i
$189$	37.9795	−	24.4080i	2.76260	−	1.77542i
$190$	7.74927	+	2.88241i	0.562191	+	0.209112i
$191$	−0.419509	+	2.91775i	−0.0303546	+	0.211121i	−0.999354	−	0.0359427i	$-0.988557\pi$
$191$	−0.419509	+	2.91775i	−0.0303546	+	0.211121i	0.968999	+	0.247064i	$0.0794657\pi$
$192$	0.880099	+	2.99734i	0.0635157	+	0.216315i
$193$	1.73962	−	2.70690i	0.125221	−	0.194847i	−0.772983	−	0.634427i	$-0.781236\pi$
$193$	1.73962	−	2.70690i	0.125221	−	0.194847i	0.898204	+	0.439580i	$0.144873\pi$
$194$	−0.00985476	−	0.0685413i	−0.000707530	−	0.00492098i
$195$	9.43854	+	9.42161i	0.675908	+	0.674696i
$196$	3.23364	+	7.08067i	0.230974	+	0.505762i
$197$	14.4094	−	2.07176i	1.02663	−	0.147607i	0.391633	−	0.920122i	$-0.371910\pi$
$197$	14.4094	−	2.07176i	1.02663	−	0.147607i	0.634997	+	0.772514i	$0.281001\pi$
$198$	11.8563	−	18.4487i	0.842590	−	1.31110i
$199$	8.08869	−	2.37505i	0.573392	−	0.168363i	0.0178343	−	0.999841i	$-0.494323\pi$
$199$	8.08869	−	2.37505i	0.573392	−	0.168363i	0.555558	+	0.831478i	$0.312505\pi$
$200$	−4.20141	+	2.71075i	−0.297084	+	0.191679i
$201$	22.9999	−	26.5434i	1.62229	−	1.87222i
$202$	3.12907	+	4.86892i	0.220160	+	0.342576i
$203$	−2.19645	+	1.90324i	−0.154161	+	0.133581i
$204$	−18.0556	−	5.30160i	−1.26414	−	0.371186i
$205$	0.684872	−	9.69808i	0.0478335	−	0.677343i
$206$	8.91297			0.620996
$207$	−31.6625	−	6.93573i	−2.20070	−	0.482067i
$208$			1.90920i			0.132379i
$209$	4.98399	−	10.9134i	0.344750	−	0.754896i
$210$	1.94009	+	26.7881i	0.133879	+	1.84855i
$211$	−17.3168	−	19.9846i	−1.19214	−	1.37580i	−0.909041	−	0.416708i	$-0.863184\pi$
$211$	−17.3168	−	19.9846i	−1.19214	−	1.37580i	−0.283096	−	0.959092i	$-0.591362\pi$
$212$	−5.80248	−	9.02884i	−0.398516	−	0.620103i
$213$	−13.4972	−	11.6954i	−0.924811	−	0.801354i
$214$	−0.666807	+	4.63774i	−0.0455820	+	0.317030i
$215$	2.97197	+	3.96267i	0.202687	+	0.270252i
$216$	9.87761	+	6.34796i	0.672086	+	0.431924i
$217$	−36.8644	+	5.30030i	−2.50252	+	0.359808i
$218$	6.31950	−	2.88602i	0.428010	−	0.195466i
$219$	−2.36840	−	5.18607i	−0.160042	−	0.350442i
$220$	3.48289	+	6.36485i	0.234817	+	0.429118i
$221$	−9.67504	−	6.21777i	−0.650813	−	0.418252i
$222$	1.04148	+	3.54696i	0.0698996	+	0.238056i
$223$	21.2689	+	3.05801i	1.42427	+	0.204779i	0.810978	−	0.585076i	$-0.198935\pi$
$223$	21.2689	+	3.05801i	1.42427	+	0.204779i	0.613293	+	0.789856i	$0.289845\pi$
$224$	−2.51795	+	2.90587i	−0.168237	+	0.194156i
$225$	−9.46242	+	32.4414i	−0.630828	+	2.16276i
$226$	−6.73702	−	7.77494i	−0.448140	−	0.517181i
$227$	7.74379	−	26.3729i	0.513973	−	1.75043i	−0.136235	−	0.990676i	$-0.543500\pi$
$227$	7.74379	−	26.3729i	0.513973	−	1.75043i	0.650209	−	0.759756i	$-0.274681\pi$
$228$	10.5069	+	4.79834i	0.695836	+	0.317778i
$229$	−15.3959			−1.01739			−0.508694	−	0.860947i	$-0.669872\pi$
$229$	−15.3959			−1.01739			−0.508694	+	0.860947i	$0.669872\pi$
$230$	7.02704	−	8.10066i	0.463349	−	0.534142i
$231$	38.9738			2.56429
$232$	−0.687563	−	0.313999i	−0.0451407	−	0.0206151i
$233$	−1.56435	+	5.32769i	−0.102484	+	0.349028i	−0.994731	−	0.102519i	$-0.967310\pi$
$233$	−1.56435	+	5.32769i	−0.102484	+	0.349028i	0.892247	+	0.451548i	$0.149128\pi$
$234$	8.45004	+	9.75187i	0.552397	+	0.637500i
$235$	−6.19570	−	4.62937i	−0.404163	−	0.301987i
$236$	5.71454	−	6.59493i	0.371985	−	0.429293i
$237$	−20.1195	−	2.89274i	−1.30690	−	0.187904i
$238$	−6.52544	−	22.2236i	−0.422981	−	1.44054i
$239$	1.48959	+	0.957300i	0.0963535	+	0.0619226i	0.587930	−	0.808912i	$-0.299943\pi$
$239$	1.48959	+	0.957300i	0.0963535	+	0.0619226i	−0.491577	+	0.870834i	$0.663579\pi$
$240$	−6.12777	+	3.35316i	−0.395546	+	0.216445i
$241$	8.01633	+	17.5533i	0.516377	+	1.13071i	0.970793	+	0.239918i	$0.0771206\pi$
$241$	8.01633	+	17.5533i	0.516377	+	1.13071i	−0.454416	+	0.890789i	$0.650152\pi$
$242$	−0.429001	+	0.195918i	−0.0275772	+	0.0125941i
$243$	15.8542	−	2.27950i	1.01705	−	0.146230i
$244$	2.88952	+	1.85698i	0.184982	+	0.118881i
$245$	−13.9247	+	10.4434i	−0.889616	+	0.667205i
$246$	1.93297	−	13.4441i	0.123242	−	0.857166i
$247$	5.33510	+	4.62289i	0.339464	+	0.294148i
$248$	−5.23675	−	8.14854i	−0.332534	−	0.517433i
$249$	1.36762	+	1.57832i	0.0866696	+	0.100022i
$250$	−7.92695	−	7.88438i	−0.501345	−	0.498652i
$251$	11.8872	−	26.0293i	0.750313	−	1.64296i	−0.0154887	−	0.999880i	$-0.504930\pi$
$251$	11.8872	−	26.0293i	0.750313	−	1.64296i	0.765802	−	0.643077i	$-0.222342\pi$
$252$			25.9870i			1.63703i
$253$	−10.9875	−	11.0194i	−0.690781	−	0.692782i
$254$	15.0879			0.946702
$255$	2.96413	−	41.9734i	0.185621	−	2.62848i
$256$	−0.959493	−	0.281733i	−0.0599683	−	0.0176083i
$257$	11.7088	−	10.1457i	0.730375	−	0.632873i	−0.208146	−	0.978098i	$-0.566743\pi$
$257$	11.7088	−	10.1457i	0.730375	−	0.632873i	0.938520	+	0.345225i	$0.112197\pi$
$258$	3.74123	+	5.82147i	0.232919	+	0.362429i
$259$	−2.97965	+	3.43870i	−0.185147	+	0.213671i
$260$	−4.17072	+	0.911205i	−0.258657	+	0.0565105i
$261$	−4.90171	+	1.43927i	−0.303408	+	0.0890887i
$262$	−3.32786	+	5.17826i	−0.205596	+	0.319914i
$263$	−9.16027	+	1.31705i	−0.564846	+	0.0812126i	−0.418822	−	0.908068i	$-0.637557\pi$
$263$	−9.16027	+	1.31705i	−0.564846	+	0.0812126i	−0.146024	+	0.989281i	$0.546648\pi$
$264$	4.21073	+	9.22022i	0.259153	+	0.567465i
$265$	16.9545	−	16.9850i	1.04151	−	1.04338i
$266$	2.02331	+	14.0724i	0.124057	+	0.862835i
$267$	−4.08172	+	6.35129i	−0.249797	+	0.388692i
$268$	3.16753	+	10.7876i	0.193488	+	0.658958i
$269$	−4.15132	+	28.8730i	−0.253110	+	1.76042i	0.326188	+	0.945305i	$0.394236\pi$
$269$	−4.15132	+	28.8730i	−0.253110	+	1.76042i	−0.579298	+	0.815116i	$0.696673\pi$
$270$	−9.15306	+	24.6077i	−0.557037	+	1.49758i
$271$	23.6738	−	15.2142i	1.43808	−	0.924198i	0.438403	−	0.898779i	$-0.355544\pi$
$271$	23.6738	−	15.2142i	1.43808	−	0.924198i	0.999677	−	0.0254189i	$-0.00809196\pi$
$272$	4.55253	−	3.94479i	0.276038	−	0.239188i
$273$	−6.46071	+	22.0031i	−0.391020	+	1.33169i
$274$	4.43530	−	9.71196i	0.267947	−	0.586721i
$275$	−12.2420	+	10.6463i	−0.738220	+	0.641995i
$276$	10.6089	−	10.5783i	0.638581	−	0.636737i
$277$			19.1742i			1.15207i	0.817426	+	0.576033i	$0.195400\pi$
$277$			19.1742i			1.15207i	−0.817426	+	0.576033i	$0.804600\pi$
$278$	5.19838	+	2.37402i	0.311778	+	0.142384i
$279$	−62.8137	−	18.4438i	−3.76056	−	1.10420i
$280$	−7.54972	−	4.11367i	−0.451182	−	0.245839i
$281$	−16.7050	+	10.7357i	−0.996539	+	0.640437i	−0.933876	−	0.357598i	$-0.883596\pi$
$281$	−16.7050	+	10.7357i	−0.996539	+	0.640437i	−0.0626633	+	0.998035i	$0.519959\pi$
$282$	−8.16587	−	7.07577i	−0.486271	−	0.421356i
$283$	3.77090	+	0.542174i	0.224157	+	0.0322289i	0.253478	−	0.967341i	$-0.418425\pi$
$283$	3.77090	+	0.542174i	0.224157	+	0.0322289i	−0.0293212	+	0.999570i	$0.509335\pi$
$284$	5.48545	−	1.61067i	0.325502	−	0.0955759i
$285$	−5.46752	+	25.2428i	−0.323868	+	1.49526i
$286$	0.881620	+	6.13181i	0.0521313	+	0.362581i
$287$	15.2070	−	6.94482i	0.897642	−	0.409940i
$288$	−6.14787	+	2.80764i	−0.362267	+	0.165442i
$289$	2.74481	+	19.0906i	0.161460	+	1.12298i
$290$	0.357790	−	1.65187i	0.0210102	−	0.0970012i
$291$	0.207554	−	0.0609435i	0.0121671	−	0.00357257i
$292$	1.80649	+	0.259734i	0.105717	+	0.0151998i
$293$	−15.0892	−	13.0748i	−0.881518	−	0.763840i	0.0911996	−	0.995833i	$-0.470930\pi$
$293$	−15.0892	−	13.0748i	−0.881518	−	0.763840i	−0.972717	+	0.231993i	$0.925475\pi$
$294$	−20.4565	+	13.1466i	−1.19304	+	0.766723i
$295$	17.1343	+	9.33606i	0.997595	+	0.543566i
$296$	−1.13543	−	0.333393i	−0.0659956	−	0.0193781i
$297$	34.6555	+	15.8266i	2.01091	+	0.918353i
$298$		−	13.3203i		−	0.771627i
$299$	8.04253	−	4.37647i	0.465111	−	0.253098i
$300$	−10.2497	−	11.7860i	−0.591767	−	0.680464i
$301$	−3.53827	+	7.74773i	−0.203942	+	0.446572i
$302$	0.895865	−	3.05104i	0.0515513	−	0.175567i
$303$	−13.6640	+	11.8399i	−0.784977	+	0.680187i
$304$	−3.11058	+	1.99905i	−0.178404	+	0.114653i
$305$	−2.67756	+	7.19855i	−0.153317	+	0.412188i
$306$	5.79408	−	40.2987i	0.331225	−	2.30372i
$307$	−1.93147	−	6.57798i	−0.110235	−	0.375425i	0.885835	−	0.464001i	$-0.153587\pi$
$307$	−1.93147	−	6.57798i	−0.110235	−	0.375425i	−0.996069	+	0.0885757i	$0.971768\pi$
$308$	−6.74508	+	10.4956i	−0.384337	+	0.598040i
$309$	3.96248	+	27.5597i	0.225418	+	1.56781i
$310$	15.3015	−	15.3290i	0.869065	−	0.870626i
$311$	13.7969	+	30.2110i	0.782351	+	1.71311i	0.697351	+	0.716730i	$0.254362\pi$
$311$	13.7969	+	30.2110i	0.782351	+	1.71311i	0.0850003	+	0.996381i	$0.472911\pi$
$312$	−5.90340	+	0.848781i	−0.334214	+	0.0480527i
$313$	14.3478	−	22.3257i	0.810988	−	1.26192i	−0.150920	−	0.988546i	$-0.548224\pi$
$313$	14.3478	−	22.3257i	0.810988	−	1.26192i	0.961907	−	0.273375i	$-0.0881401\pi$
$314$	−6.69025	+	1.96443i	−0.377552	+	0.110859i
$315$	−56.7697	+	12.4029i	−3.19861	+	0.698823i
$316$	4.26102	−	4.91748i	0.239701	−	0.276630i
$317$	6.35336	+	9.88602i	0.356840	+	0.555254i	0.972543	−	0.232725i	$-0.0747640\pi$
$317$	6.35336	+	9.88602i	0.356840	+	0.555254i	−0.615703	+	0.787979i	$0.711128\pi$
$318$	25.3383	−	21.9558i	1.42090	−	1.23122i
$319$	−2.35326	−	0.690978i	−0.131757	−	0.0386874i
$320$	0.157517	−	2.23051i	0.00880548	−	0.124689i
$321$	−14.6367			−0.816943
$322$	18.0129	+	3.94576i	1.00382	+	0.219889i
$323$		−	22.2735i		−	1.23933i
$324$	−6.81417	+	14.9209i	−0.378565	+	0.828941i
$325$	−3.98113	−	8.67620i	−0.220833	−	0.481269i
$326$	1.22037	+	1.40838i	0.0675899	+	0.0780029i
$327$	11.7333	+	18.2574i	0.648853	+	1.00963i
$328$	3.28593	+	2.84728i	0.181435	+	0.157215i
$329$	1.89268	−	13.1639i	0.104347	−	0.725749i
$330$	−18.1323	+	13.5991i	−0.998148	+	0.748603i
$331$	−18.1513	−	11.6651i	−0.997685	−	0.641173i	−0.0635072	−	0.997981i	$-0.520229\pi$
$331$	−18.1513	−	11.6651i	−0.997685	−	0.641173i	−0.934178	+	0.356808i	$0.883865\pi$
$332$	−0.661729	+	0.0951422i	−0.0363171	+	0.00522161i
$333$	−7.27519	+	3.32247i	−0.398678	+	0.182070i
$334$	−5.75684	−	12.6057i	−0.315000	−	0.689754i
$335$	−22.0542	+	12.0682i	−1.20495	+	0.659356i
$336$	−10.1046	−	6.49383i	−0.551251	−	0.354268i
$337$	3.07503	+	10.4726i	0.167508	+	0.570479i	0.999868	+	0.0162442i	$0.00517092\pi$
$337$	3.07503	+	10.4726i	0.167508	+	0.570479i	−0.832360	+	0.554235i	$0.813011\pi$
$338$	9.25975	+	1.33135i	0.503664	+	0.0724159i
$339$	21.0457	−	24.2880i	1.14304	−	1.31914i
$340$	10.7903	+	8.06245i	0.585189	+	0.437248i
$341$	−20.5818	−	23.7526i	−1.11457	−	1.28628i
$342$	−7.04061	+	23.9781i	−0.380713	+	1.29659i
$343$	−2.74245	−	1.25244i	−0.148079	−	0.0676252i
$344$	−2.21519			−0.119435
$345$	28.1720	+	18.1269i	1.51673	+	0.975918i
$346$	−1.14675			−0.0616495
$347$	−1.98162	−	0.904975i	−0.106379	−	0.0485816i	0.361515	−	0.932366i	$-0.382260\pi$
$347$	−1.98162	−	0.904975i	−0.106379	−	0.0485816i	−0.467894	+	0.883785i	$0.654987\pi$
$348$	0.665240	−	2.26560i	0.0356606	−	0.121449i
$349$	−9.66971	−	11.1594i	−0.517607	−	0.597351i	0.435423	−	0.900226i	$-0.356599\pi$
$349$	−9.66971	−	11.1594i	−0.517607	−	0.597351i	−0.953030	+	0.302875i	$0.902053\pi$
$350$	5.38320	−	18.4560i	0.287744	−	0.986515i
$351$	−14.6800	+	16.9416i	−0.783558	+	0.904274i
$352$	−3.21172	−	0.461776i	−0.171185	−	0.0246127i
$353$	−2.56821	−	8.74651i	−0.136692	−	0.465530i	0.862486	−	0.506082i	$-0.168907\pi$
$353$	−2.56821	−	8.74651i	−0.136692	−	0.465530i	−0.999177	+	0.0405519i	$0.987088\pi$
$354$	22.9326	+	14.7379i	1.21885	+	0.783310i
$355$	6.13663	+	11.2145i	0.325698	+	0.595201i
$356$	−1.00397	−	2.19840i	−0.0532105	−	0.116515i
$357$	65.8162	−	30.0573i	3.48336	−	1.59080i
$358$	−20.2147	+	2.90643i	−1.06838	+	0.153610i
$359$	−12.6962	−	8.15934i	−0.670079	−	0.430634i	0.160875	−	0.986975i	$-0.448568\pi$
$359$	−12.6962	−	8.15934i	−0.670079	−	0.430634i	−0.830954	+	0.556341i	$0.812205\pi$
$360$	−9.06760	−	12.0903i	−0.477905	−	0.637213i
$361$	0.758271	−	5.27389i	0.0399090	−	0.277573i
$362$	−11.6030	−	10.0540i	−0.609838	−	0.528428i
$363$	−0.796519	−	1.23941i	−0.0418064	−	0.0650520i
$364$	−4.80726	−	5.54787i	−0.251969	−	0.290787i
$365$	0.294787	+	4.07031i	0.0154298	+	0.213050i
$366$	−4.45734	+	9.76020i	−0.232989	+	0.510174i
$367$		−	31.1467i		−	1.62585i	−0.582372	−	0.812923i	$-0.697875\pi$
$367$		−	31.1467i		−	1.62585i	0.582372	−	0.812923i	$-0.302125\pi$
$368$	1.01265	+	4.68770i	0.0527880	+	0.244363i
$369$	29.3860			1.52977
$370$	0.186401	−	2.63951i	0.00969051	−	0.137222i
$371$	39.5954	+	11.6263i	2.05569	+	0.603605i
$372$	22.8679	−	19.8151i	1.18564	−	1.02737i
$373$	−4.73181	−	7.36284i	−0.245004	−	0.381234i	0.696871	−	0.717196i	$-0.254575\pi$
$373$	−4.73181	−	7.36284i	−0.245004	−	0.381234i	−0.941875	+	0.335963i	$0.890938\pi$
$374$	12.7998	−	14.7718i	0.661864	−	0.763832i
$375$	20.8550	−	28.0160i	1.07695	−	1.44674i
$376$	3.31873	−	0.974467i	0.171150	−	0.0502543i
$377$	0.780201	−	1.21402i	0.0401824	−	0.0625250i
$378$	−44.6868	+	6.42500i	−2.29844	+	0.330466i
$379$	−6.50874	−	14.2521i	−0.334331	−	0.732084i	0.665567	−	0.746338i	$-0.268190\pi$
$379$	−6.50874	−	14.2521i	−0.334331	−	0.732084i	−0.999898	+	0.0142544i	$0.995463\pi$
$380$	−5.85158	−	5.84109i	−0.300180	−	0.299642i
$381$	6.70772	+	46.6532i	0.343647	+	2.39012i
$382$	1.59368	−	2.47981i	0.0815396	−	0.126878i
$383$	2.30753	+	7.85873i	0.117909	+	0.401563i	0.997205	−	0.0747139i	$-0.0238043\pi$
$383$	2.30753	+	7.85873i	0.117909	+	0.401563i	−0.879296	+	0.476276i	$0.841986\pi$
$384$	0.444575	−	3.09209i	0.0226871	−	0.157792i
$385$	−26.1472	−	9.72567i	−1.33258	−	0.495666i
$386$	−2.70690	+	1.73962i	−0.137778	+	0.0885443i
$387$	−11.3148	+	9.80436i	−0.575165	+	0.498384i
$388$	−0.0195089	+	0.0664412i	−0.000990414	+	0.00337304i
$389$	7.83030	−	17.1460i	0.397012	−	0.869335i	−0.600553	−	0.799585i	$-0.705053\pi$
$389$	7.83030	−	17.1460i	0.397012	−	0.869335i	0.997565	−	0.0697495i	$-0.0222200\pi$
$390$	−4.67172	−	12.4911i	−0.236562	−	0.632512i
$391$	−27.0533	−	10.1349i	−1.36814	−	0.512546i
$392$		−	7.78411i		−	0.393157i
$393$	−17.4911	−	7.98792i	−0.882309	−	0.402937i
$394$	−13.9679	−	4.10135i	−0.703694	−	0.206623i
$395$	12.7761	+	6.96140i	0.642835	+	0.350266i
$396$	−18.4487	+	11.8563i	−0.927084	+	0.595801i
$397$	−18.8841	−	16.3632i	−0.947768	−	0.821246i	0.0362449	−	0.999343i	$-0.488460\pi$
$397$	−18.8841	−	16.3632i	−0.947768	−	0.821246i	−0.984013	+	0.178097i	$0.943006\pi$
$398$	−8.34437	−	1.19974i	−0.418265	−	0.0601375i
$399$	−42.6136	+	12.5125i	−2.13335	+	0.626407i
$400$	4.94782	−	0.720457i	0.247391	−	0.0360229i
$401$	0.739731	+	5.14495i	0.0369404	+	0.256926i	0.999920	−	0.0126480i	$-0.00402610\pi$
$401$	0.739731	+	5.14495i	0.0369404	+	0.256926i	−0.962980	+	0.269574i	$0.913117\pi$
$402$	−31.9480	+	14.5902i	−1.59342	+	0.727691i
$403$	16.8217	−	7.68221i	0.837948	−	0.382678i
$404$	−0.823675	−	5.72879i	−0.0409794	−	0.285018i
$405$	−35.8476	−	7.76448i	−1.78128	−	0.385820i
$406$	2.78860	−	0.818807i	0.138396	−	0.0406367i
$407$	−3.80064	−	0.546450i	−0.188391	−	0.0270865i
$408$	14.2216	+	12.3231i	0.704073	+	0.610082i
$409$	−32.6065	+	20.9549i	−1.61229	+	1.03615i	−0.651583	+	0.758578i	$0.725895\pi$
$409$	−32.6065	+	20.9549i	−1.61229	+	1.03615i	−0.960704	+	0.277576i	$0.910469\pi$
$410$	−4.65171	+	8.53718i	−0.229732	+	0.421621i
$411$	32.0020	+	9.39665i	1.57854	+	0.463502i
$412$	−8.10752	−	3.70258i	−0.399429	−	0.182413i
$413$			33.5529i			1.65103i
$414$	25.9201	+	19.4621i	1.27390	+	0.956508i
$415$	−0.523666	−	1.40016i	−0.0257058	−	0.0687313i
$416$	0.793109	−	1.73667i	0.0388854	−	0.0851471i
$417$	−5.02961	+	17.1293i	−0.246301	+	0.838824i
$418$	−9.06719	+	7.85676i	−0.443491	+	0.384287i
$419$	22.4408	−	14.4218i	1.09630	−	0.704552i	0.138038	−	0.990427i	$-0.455920\pi$
$419$	22.4408	−	14.4218i	1.09630	−	0.704552i	0.958267	+	0.285875i	$0.0922841\pi$
$420$	9.36339	−	25.1732i	0.456887	−	1.22833i
$421$	3.81048	−	26.5025i	0.185712	−	1.29165i	−0.657247	−	0.753675i	$-0.728279\pi$
$421$	3.81048	−	26.5025i	0.185712	−	1.29165i	0.842959	−	0.537978i	$-0.180812\pi$
$422$	7.44998	+	25.3723i	0.362660	+	1.23511i
$423$	12.6386	−	19.6660i	0.614509	−	0.956194i
$424$	1.52741	+	10.6234i	0.0741775	+	0.515916i
$425$	−12.4628	+	27.4199i	−0.604535	+	1.33006i
$426$	7.41903	+	16.2454i	0.359453	+	0.787093i
$427$	−13.0723	+	1.87952i	−0.632614	+	0.0909562i
$428$	2.53314	−	3.94164i	0.122444	−	0.190526i
$429$	−18.5681	+	5.45209i	−0.896477	+	0.263229i
$430$	−1.05725	−	4.83917i	−0.0509850	−	0.233366i
$431$	−22.7684	+	26.2762i	−1.09672	+	1.26568i	−0.135233	+	0.990814i	$0.543178\pi$
$431$	−22.7684	+	26.2762i	−1.09672	+	1.26568i	−0.961483	+	0.274864i	$0.911367\pi$
$432$	−6.34796	−	9.87761i	−0.305416	−	0.475237i
$433$	8.41404	−	7.29081i	0.404353	−	0.350374i	−0.428816	−	0.903392i	$-0.641069\pi$
$433$	8.41404	−	7.29081i	0.404353	−	0.350374i	0.833170	+	0.553018i	$0.186524\pi$
$434$	35.7349	+	10.4927i	1.71533	+	0.503666i
$435$	5.26679	+	0.371937i	0.252523	+	0.0178330i
$436$	−6.94731			−0.332716
$437$	15.5514	+	8.52093i	0.743926	+	0.407612i
$438$			5.70129i			0.272418i
$439$	−3.00750	+	6.58552i	−0.143540	+	0.314310i	−0.967724	−	0.252014i	$-0.918907\pi$
$439$	−3.00750	+	6.58552i	−0.143540	+	0.314310i	0.824183	+	0.566323i	$0.191635\pi$
$440$	−0.524095	−	7.23652i	−0.0249852	−	0.344988i
$441$	−34.4522	−	39.7600i	−1.64058	−	1.89333i
$442$	6.21777	+	9.67504i	0.295749	+	0.460195i
$443$	15.4133	+	13.3557i	0.732306	+	0.634547i	0.939023	−	0.343854i	$-0.111733\pi$
$443$	15.4133	+	13.3557i	0.732306	+	0.634547i	−0.206717	+	0.978401i	$0.566278\pi$
$444$	0.526095	−	3.65907i	0.0249674	−	0.173652i
$445$	4.32331	−	3.24245i	0.204945	−	0.153707i
$446$	−18.0765	−	11.6171i	−0.855949	−	0.550085i
$447$	41.1877	−	5.92189i	1.94811	−	0.280096i
$448$	3.49754	−	1.59728i	0.165243	−	0.0754642i
$449$	−7.05849	−	15.4559i	−0.333111	−	0.729411i	0.666764	−	0.745269i	$-0.267679\pi$
$449$	−7.05849	−	15.4559i	−0.333111	−	0.729411i	−0.999874	+	0.0158586i	$0.994952\pi$
$450$	22.0840	−	25.5789i	1.04105	−	1.20580i
$451$	11.8683	+	7.62730i	0.558857	+	0.359155i
$452$	2.89839	+	9.87099i	0.136329	+	0.464292i
$453$	9.83235	+	1.41368i	0.461964	+	0.0664204i
$454$	−17.9997	+	20.7728i	−0.844768	+	0.974914i
$455$	9.82517	−	13.1495i	0.460611	−	0.616457i
$456$	−7.56411	−	8.72944i	−0.354222	−	0.408794i
$457$	2.99295	−	10.1930i	0.140004	−	0.476810i	−0.859401	−	0.511302i	$-0.829163\pi$
$457$	2.99295	−	10.1930i	0.140004	−	0.476810i	0.999405	+	0.0344921i	$0.0109814\pi$
$458$	14.0046	+	6.39568i	0.654392	+	0.298851i
$459$	70.7294			3.30137
$460$	−9.75716	+	4.44948i	−0.454930	+	0.207458i
$461$	23.8612			1.11133			0.555663	−	0.831407i	$-0.312464\pi$
$461$	23.8612			1.11133			0.555663	+	0.831407i	$0.312464\pi$
$462$	−35.4518	−	16.1903i	−1.64937	−	0.753241i
$463$	−2.87654	+	9.79658i	−0.133684	+	0.455286i	−0.998939	−	0.0460456i	$-0.985338\pi$
$463$	−2.87654	+	9.79658i	−0.133684	+	0.455286i	0.865255	+	0.501331i	$0.167156\pi$
$464$	0.494989	+	0.571248i	0.0229793	+	0.0265195i
$465$	54.2011	+	40.4986i	2.51351	+	1.87808i
$466$	3.63618	−	4.19638i	0.168443	−	0.194393i
$467$	6.77403	+	0.973958i	0.313465	+	0.0450694i	0.297252	−	0.954799i	$-0.403930\pi$
$467$	6.77403	+	0.973958i	0.313465	+	0.0450694i	0.0162129	+	0.999869i	$0.494839\pi$
$468$	−3.63536	−	12.3809i	−0.168044	−	0.572307i
$469$	−36.3670	−	23.3717i	−1.67927	−	1.07920i
$470$	3.71270	+	6.78481i	0.171254	+	0.312960i
$471$	−9.04851	−	19.8135i	−0.416933	−	0.912957i
$472$	−7.93776	+	3.62505i	−0.365365	+	0.166857i
$473$	−7.11457	+	1.02292i	−0.327128	+	0.0470340i
$474$	17.0996	+	10.9893i	0.785411	+	0.504753i
$475$	9.96730	−	15.5708i	0.457331	−	0.714437i
$476$	−3.29627	+	22.9261i	−0.151084	+	1.05081i
$477$	54.8204	+	47.5022i	2.51005	+	2.17497i
$478$	−0.957300	−	1.48959i	−0.0437859	−	0.0681322i
$479$	19.3392	+	22.3186i	0.883629	+	1.01976i	0.999648	+	0.0265151i	$0.00844102\pi$
$479$	19.3392	+	22.3186i	0.883629	+	1.01976i	−0.116020	+	0.993247i	$0.537014\pi$
$480$	6.96696	−	0.504573i	0.317997	−	0.0230305i
$481$	0.938539	−	2.05511i	0.0427937	−	0.0937051i
$482$		−	19.2971i		−	0.878961i
$483$	−4.19253	+	57.4517i	−0.190767	+	2.61414i
$484$	0.471620			0.0214373
$485$	−0.154454	−	0.0109075i	−0.00701342	−	0.000495283i
$486$	−15.3685	−	4.51259i	−0.697127	−	0.204695i
$487$	−3.73659	+	3.23778i	−0.169321	+	0.146718i	−0.735399	−	0.677634i	$-0.763005\pi$
$487$	−3.73659	+	3.23778i	−0.169321	+	0.146718i	0.566078	+	0.824352i	$0.308460\pi$
$488$	−1.85698	−	2.88952i	−0.0840616	−	0.130802i
$489$	−3.81229	+	4.39961i	−0.172398	+	0.198957i
$490$	17.0047	−	3.71513i	0.768194	−	0.167833i
$491$	−30.5115	+	8.95899i	−1.37696	+	0.404313i	−0.884712	−	0.466139i	$-0.845645\pi$
$491$	−30.5115	+	8.95899i	−1.37696	+	0.404313i	−0.492253	+	0.870452i	$0.663827\pi$
$492$	−7.34318	+	11.4262i	−0.331056	+	0.515134i
$493$	−4.50691	+	0.647995i	−0.202981	+	0.0291842i
$494$	−2.93256	−	6.42141i	−0.131942	−	0.288913i
$495$	−34.7056	−	34.6433i	−1.55990	−	1.55710i
$496$	1.37849	+	9.58760i	0.0618960	+	0.430496i
$497$	−11.8844	+	18.4925i	−0.533088	+	0.829501i
$498$	−0.588376	−	2.00382i	−0.0263657	−	0.0897935i
$499$	−3.83858	+	26.6979i	−0.171838	+	1.19516i	0.703159	+	0.711033i	$0.251772\pi$
$499$	−3.83858	+	26.6979i	−0.171838	+	1.19516i	−0.874997	+	0.484128i	$0.839137\pi$
$500$	3.93532	+	10.4649i	0.175993	+	0.468003i
$501$	36.4186	−	23.4048i	1.62706	−	1.04565i
$502$	−21.6259	+	18.7390i	−0.965213	+	0.836362i
$503$	8.77970	−	29.9009i	0.391467	−	1.33322i	−0.494383	−	0.869244i	$-0.664606\pi$
$503$	8.77970	−	29.9009i	0.391467	−	1.33322i	0.885850	−	0.463971i	$-0.153576\pi$
$504$	10.7954	−	23.6386i	0.480866	−	1.05295i
$505$	12.1216	−	4.53354i	0.539406	−	0.201740i
$506$	5.41701	+	14.5880i	0.240816	+	0.648514i
$507$			29.2238i			1.29788i
$508$	−13.7245	−	6.26776i	−0.608925	−	0.278087i
$509$	24.3714	+	7.15608i	1.08024	+	0.317188i	0.772976	−	0.634436i	$-0.218767\pi$
$509$	24.3714	+	7.15608i	1.08024	+	0.317188i	0.307267	+	0.951623i	$0.400586\pi$
$510$	−20.1327	+	36.9490i	−0.891489	+	1.63613i
$511$	−5.90341	+	3.79389i	−0.261151	+	0.167832i
$512$	0.755750	+	0.654861i	0.0333997	+	0.0289410i
$513$	−42.9730	−	6.17859i	−1.89731	−	0.272791i
$514$	−14.8654	+	4.36487i	−0.655684	+	0.192526i
$515$	4.21895	−	19.4783i	0.185909	−	0.858318i
$516$	−0.984818	−	6.84956i	−0.0433542	−	0.301535i
$517$	10.2088	−	4.66222i	0.448984	−	0.205044i
$518$	4.13888	−	1.89016i	0.181852	−	0.0830490i
$519$	−0.509814	−	3.54584i	−0.0223784	−	0.155645i
$520$	4.17234	+	0.903717i	0.182969	+	0.0396306i
$521$	11.6399	−	3.41778i	0.509953	−	0.149736i	−0.0166260	−	0.999862i	$-0.505292\pi$
$521$	11.6399	−	3.41778i	0.509953	−	0.149736i	0.526579	+	0.850126i	$0.323474\pi$
$522$	5.05665	+	0.727036i	0.221323	+	0.0318215i
$523$	24.9015	+	21.5773i	1.08887	+	0.943509i	0.998626	−	0.0524108i	$-0.0166905\pi$
$523$	24.9015	+	21.5773i	1.08887	+	0.943509i	0.0902420	+	0.995920i	$0.471236\pi$
$524$	5.17826	−	3.32786i	0.226213	−	0.145378i
$525$	59.4608	+	8.44025i	2.59508	+	0.368363i
$526$	8.87959	+	2.60728i	0.387169	+	0.113683i
$527$	−53.0755	−	24.2388i	−2.31200	−	1.05586i
$528$		−	10.1362i		−	0.441122i
$529$	17.4257	−	15.0115i	0.757640	−	0.652672i
$530$	−22.4782	+	8.40691i	−0.976389	+	0.365173i
$531$	−24.5004	+	53.6484i	−1.06323	+	2.32814i
$532$	4.00543	−	13.6412i	0.173657	−	0.591422i
$533$	−6.27350	+	5.43602i	−0.271735	+	0.235460i
$534$	6.35129	−	4.08172i	0.274847	−	0.176633i
$535$	9.81966	+	3.65251i	0.424541	+	0.157912i
$536$	1.60005	−	11.1286i	0.0691116	−	0.480682i
$537$	−17.9739	−	61.2133i	−0.775629	−	2.64155i
$538$	15.7705	−	24.5393i	0.679913	−	1.05797i
$539$	−3.59451	−	25.0004i	−0.154827	−	1.07684i
$540$	18.5483	−	18.5817i	0.798193	−	0.799627i
$541$	2.37157	+	5.19301i	0.101962	+	0.223265i	0.953737	−	0.300642i	$-0.0972011\pi$
$541$	2.37157	+	5.19301i	0.101962	+	0.223265i	−0.851775	+	0.523907i	$0.824474\pi$
$542$	−27.8546	+	4.00489i	−1.19646	+	0.172025i
$543$	25.9295	−	40.3471i	1.11274	−	1.73146i
$544$	−5.77985	+	1.69712i	−0.247809	+	0.0727633i
$545$	−3.31575	−	15.1767i	−0.142031	−	0.650097i
$546$	15.0173	−	17.3309i	0.642681	−	0.741694i
$547$	−19.4025	−	30.1909i	−0.829593	−	1.29087i	−0.954352	−	0.298685i	$-0.903452\pi$
$547$	−19.4025	−	30.1909i	−0.829593	−	1.29087i	0.124759	−	0.992187i	$-0.460184\pi$
$548$	−8.06899	+	6.99182i	−0.344690	+	0.298676i
$549$	−22.2741	−	6.54026i	−0.950634	−	0.279131i
$550$	15.5583	−	4.59869i	0.663409	−	0.196089i
$551$	2.79486			0.119065
$552$	−14.0446	+	5.21523i	−0.597777	+	0.221975i
$553$			25.0186i			1.06390i
$554$	7.96526	−	17.4415i	0.338411	−	0.741017i
$555$	8.24447	−	0.597095i	0.349958	−	0.0253453i
$556$	−3.74241	−	4.31897i	−0.158714	−	0.183165i
$557$	−3.87063	−	6.02282i	−0.164004	−	0.255195i	0.749518	−	0.661983i	$-0.230285\pi$
$557$	−3.87063	−	6.02282i	−0.164004	−	0.255195i	−0.913523	+	0.406788i	$0.866649\pi$
$558$	49.4755	+	42.8708i	2.09446	+	1.81486i
$559$	0.601883	−	4.18619i	0.0254569	−	0.177057i
$560$	5.15859	+	6.87819i	0.217990	+	0.290657i
$561$	51.3662	+	33.0110i	2.16868	+	1.39373i
$562$	19.6552	−	2.82599i	0.829104	−	0.119207i
$563$	−20.1320	+	9.19398i	−0.848463	+	0.387480i	−0.791702	−	0.610908i	$-0.790805\pi$
$563$	−20.1320	+	9.19398i	−0.848463	+	0.387480i	−0.0567611	+	0.998388i	$0.518077\pi$
$564$	4.48856	+	9.82857i	0.189002	+	0.413858i
$565$	−20.1803	+	11.0428i	−0.848990	+	0.464573i
$566$	−3.20491	−	2.05967i	−0.134712	−	0.0865743i
$567$	−17.7691	−	60.5160i	−0.746232	−	2.54143i
$568$	−5.65884	−	0.813618i	−0.237440	−	0.0341387i
$569$	−2.95812	+	3.41386i	−0.124011	+	0.143116i	−0.814360	−	0.580360i	$-0.802912\pi$
$569$	−2.95812	+	3.41386i	−0.124011	+	0.143116i	0.690349	+	0.723477i	$0.257457\pi$
$570$	15.4597	−	20.6904i	0.647535	−	0.866625i
$571$	13.2169	+	15.2532i	0.553112	+	0.638325i	0.961605	−	0.274436i	$-0.0884912\pi$
$571$	13.2169	+	15.2532i	0.553112	+	0.638325i	−0.408494	+	0.912761i	$0.633946\pi$
$572$	1.74529	−	5.94392i	0.0729744	−	0.248528i
$573$	8.37629	+	3.82532i	0.349924	+	0.159805i
$574$	−16.7178			−0.697787
$575$	−14.3769	−	19.1913i	−0.599557	−	0.800332i
$576$	6.75864			0.281610
$577$	36.5015	+	16.6697i	1.51958	+	0.693968i	0.988200	−	0.153168i	$-0.0489475\pi$
$577$	36.5015	+	16.6697i	1.51958	+	0.693968i	0.531377	+	0.847135i	$0.321675\pi$
$578$	5.43375	−	18.5057i	0.226014	−	0.769734i
$579$	−6.58247	−	7.59658i	−0.273558	−	0.315703i
$580$	−1.01167	+	1.35396i	−0.0420073	+	0.0562203i
$581$	1.68333	−	1.94267i	0.0698363	−	0.0805954i
$582$	−0.214115	−	0.0307851i	−0.00887535	−	0.00127608i
$583$	9.81122	+	33.4139i	0.406339	+	1.38386i
$584$	−1.53534	−	0.986705i	−0.0635329	−	0.0408301i
$585$	25.3115	−	13.8506i	1.04650	−	0.572653i
$586$	8.29410	+	18.1615i	0.342626	+	0.750246i
$587$	−16.1922	+	7.39472i	−0.668323	+	0.305213i	−0.720530	−	0.693423i	$-0.756102\pi$
$587$	−16.1922	+	7.39472i	−0.668323	+	0.305213i	0.0522074	+	0.998636i	$0.483374\pi$
$588$	24.0691	−	3.46062i	0.992594	−	0.142713i
$589$	30.1296	+	19.3631i	1.24147	+	0.797845i
$590$	−11.7075	−	15.6102i	−0.481991	−	0.642662i
$591$	6.47195	−	45.0134i	0.266220	−	1.85160i
$592$	0.894329	+	0.774940i	0.0367567	+	0.0318499i
$593$	24.3745	+	37.9275i	1.00094	+	1.55750i	0.818683	+	0.574245i	$0.194704\pi$
$593$	24.3745	+	37.9275i	1.00094	+	1.55750i	0.182259	+	0.983251i	$0.441659\pi$
$594$	−24.9491	−	28.7928i	−1.02367	−	1.18138i
$595$	−51.6561	+	3.74112i	−2.11769	+	0.153371i
$596$	−5.53347	+	12.1166i	−0.226660	+	0.496316i
$597$		−	26.3349i		−	1.07781i
$598$	−9.13379	+	0.639989i	−0.373509	+	0.0261711i
$599$	2.85961			0.116841			0.0584203	−	0.998292i	$-0.481394\pi$
$599$	2.85961			0.116841			0.0584203	+	0.998292i	$0.481394\pi$
$600$	4.42739	+	14.9788i	0.180748	+	0.611507i
$601$	−43.2879	−	12.7105i	−1.76575	−	0.518471i	−0.772557	−	0.634945i	$-0.781023\pi$
$601$	−43.2879	−	12.7105i	−1.76575	−	0.518471i	−0.993194	+	0.116473i	$0.962841\pi$
$602$	6.43705	−	5.57773i	0.262354	−	0.227331i
$603$	−41.0820	−	63.9248i	−1.67299	−	2.60322i
$604$	−2.08235	+	2.40317i	−0.0847298	+	0.0977834i
$605$	0.225091	+	1.03027i	0.00915125	+	0.0418866i
$606$	17.3477	−	5.09375i	0.704703	−	0.206919i
$607$	9.62947	−	14.9837i	0.390848	−	0.608172i	−0.588948	−	0.808171i	$-0.700458\pi$
$607$	9.62947	−	14.9837i	0.390848	−	0.608172i	0.979796	+	0.199999i	$0.0640940\pi$
$608$	3.65991	−	0.526216i	0.148429	−	0.0213409i
$609$	3.77156	+	8.25857i	0.152831	+	0.334654i
$610$	5.42598	−	5.43573i	0.219692	−	0.220086i
$611$	0.939790	+	6.53639i	0.0380198	+	0.264434i
$612$	−22.0112	+	34.2500i	−0.889749	+	1.38448i
$613$	1.39243	+	4.74217i	0.0562395	+	0.191534i	0.982822	−	0.184559i	$-0.0590856\pi$
$613$	1.39243	+	4.74217i	0.0562395	+	0.191534i	−0.926582	+	0.376093i	$0.877267\pi$
$614$	−0.975666	+	6.78591i	−0.0393747	+	0.273857i
$615$	−28.4657	−	10.5881i	−1.14785	−	0.426952i
$616$	10.4956	−	6.74508i	0.422878	−	0.271767i
$617$	0.788753	−	0.683459i	0.0317540	−	0.0275150i	−0.638839	−	0.769340i	$-0.720585\pi$
$617$	0.788753	−	0.683459i	0.0317540	−	0.0275150i	0.670593	+	0.741825i	$0.266040\pi$
$618$	7.84430	−	26.7152i	0.315544	−	1.07464i
$619$	9.71640	−	21.2759i	0.390535	−	0.855152i	−0.607608	−	0.794237i	$-0.707871\pi$
$619$	9.71640	−	21.2759i	0.390535	−	0.855152i	0.998143	−	0.0609152i	$-0.0194019\pi$
$620$	−20.2866	+	7.58725i	−0.814729	+	0.304711i
$621$	−27.0582	+	49.3834i	−1.08581	+	1.98169i
$622$		−	33.2124i		−	1.33169i
$623$	8.45286	+	3.86029i	0.338657	+	0.154659i
$624$	5.72252	+	1.68028i	0.229084	+	0.0672651i
$625$	−20.9827	+	13.5914i	−0.839307	+	0.543658i
$626$	−22.3257	+	14.3478i	−0.892313	+	0.573455i
$627$	−28.3248	−	24.5436i	−1.13118	−	0.980177i
$628$	6.90172	+	0.992317i	0.275408	+	0.0395978i
$629$	−6.83969	+	2.00831i	−0.272716	+	0.0800767i
$630$	56.7919	+	12.3009i	2.26264	+	0.490081i
$631$	−0.100025	−	0.695690i	−0.00398194	−	0.0276950i	0.987734	−	0.156148i	$-0.0499078\pi$
$631$	−0.100025	−	0.695690i	−0.00398194	−	0.0276950i	−0.991716	+	0.128453i	$0.958999\pi$
$632$	−5.91876	+	2.70301i	−0.235436	+	0.107520i
$633$	−75.1413	+	34.3159i	−2.98660	+	1.36393i
$634$	−1.67242	−	11.6319i	−0.0664202	−	0.461963i
$635$	7.14186	−	32.9731i	0.283416	−	1.30850i
$636$	−32.1693	+	9.44576i	−1.27560	+	0.374549i
$637$	14.7101	+	2.11500i	0.582836	+	0.0837992i
$638$	1.85355	+	1.60611i	0.0733829	+	0.0635867i
$639$	−32.5055	+	20.8900i	−1.28590	+	0.826396i
$640$	−1.06987	+	1.96351i	−0.0422904	+	0.0776146i
$641$	3.45639	+	1.01489i	0.136519	+	0.0400856i	0.349278	−	0.937019i	$-0.386427\pi$
$641$	3.45639	+	1.01489i	0.136519	+	0.0400856i	−0.212759	+	0.977105i	$0.568245\pi$
$642$	13.3141	+	6.08032i	0.525464	+	0.239971i
$643$			13.8904i			0.547782i	0.961761	+	0.273891i	$0.0883108\pi$
$643$			13.8904i			0.547782i	−0.961761	+	0.273891i	$0.911689\pi$
$644$	−14.7460	−	11.0720i	−0.581074	−	0.436299i
$645$	14.4931	−	5.42047i	0.570665	−	0.213431i
$646$	−9.25276	+	20.2607i	−0.364045	+	0.797147i
$647$	−11.7705	+	40.0868i	−0.462748	+	1.57597i	0.316077	+	0.948733i	$0.397634\pi$
$647$	−11.7705	+	40.0868i	−0.462748	+	1.57597i	−0.778825	+	0.627241i	$0.784184\pi$
$648$	12.3968	−	10.7419i	0.486991	−	0.421980i
$649$	−23.8199	+	15.3081i	−0.935012	+	0.600896i
$650$	0.0171363	+	9.54597i	0.000672140	+	0.374424i
$651$	−16.5575	+	115.160i	−0.648941	+	4.51348i
$652$	−0.525024	−	1.78807i	−0.0205615	−	0.0700261i
$653$	−21.1846	+	32.9639i	−0.829018	+	1.28998i	0.125581	+	0.992083i	$0.459920\pi$
$653$	−21.1846	+	32.9639i	−0.829018	+	1.28998i	−0.954599	+	0.297894i	$0.903716\pi$
$654$	−3.08860	−	21.4817i	−0.120774	−	0.840000i
$655$	9.74128	+	9.72381i	0.380623	+	0.379941i
$656$	−1.80619	−	3.95500i	−0.0705198	−	0.154417i
$657$	−12.2094	+	1.75545i	−0.476334	+	0.0684865i
$658$	−7.19013	+	11.1881i	−0.280300	+	0.436156i
$659$	32.1479	−	9.43948i	1.25231	−	0.367710i	0.412680	−	0.910876i	$-0.364593\pi$
$659$	32.1479	−	9.43948i	1.25231	−	0.367710i	0.839625	+	0.543166i	$0.182775\pi$
$660$	22.1429	−	4.83772i	0.861913	−	0.188308i
$661$	10.5473	−	12.1723i	0.410244	−	0.473446i	−0.512597	−	0.858630i	$-0.671316\pi$
$661$	10.5473	−	12.1723i	0.410244	−	0.473446i	0.922840	+	0.385183i	$0.125862\pi$
$662$	11.6651	+	18.1513i	0.453378	+	0.705470i
$663$	−27.1518	+	23.5271i	−1.05449	+	0.913719i
$664$	0.641453	+	0.188348i	0.0248932	+	0.00730930i
$665$	31.7115	+	2.23944i	1.22972	+	0.0868418i
$666$	7.99795			0.309914
$667$	1.27173	−	3.39463i	0.0492414	−	0.131441i
$668$			13.8580i			0.536184i
$669$	27.8846	−	61.0588i	1.07808	−	2.36067i
$670$	25.0745	−	1.81599i	0.968713	−	0.0701577i
$671$	−7.29841	−	8.42282i	−0.281752	−	0.325159i
$672$	6.49383	+	10.1046i	0.250505	+	0.389793i
$673$	38.4943	+	33.3555i	1.48385	+	1.28576i	0.866615	+	0.498977i	$0.166291\pi$
$673$	38.4943	+	33.3555i	1.48385	+	1.28576i	0.617231	+	0.786782i	$0.288255\pi$
$674$	1.55333	−	10.8036i	0.0598320	−	0.416140i
$675$	49.4450	+	31.6511i	1.90314	+	1.21825i
$676$	−7.86990	−	5.05768i	−0.302688	−	0.194526i
$677$	−24.9938	+	3.59357i	−0.960591	+	0.138112i	−0.604733	−	0.796428i	$-0.706720\pi$
$677$	−24.9938	+	3.59357i	−0.960591	+	0.138112i	−0.355858	+	0.934540i	$0.615811\pi$
$678$	−29.2334	+	13.3504i	−1.12270	+	0.512721i
$679$	−0.110605	−	0.242192i	−0.00424464	−	0.00929446i
$680$	−6.46598	−	11.8163i	−0.247959	−	0.453136i
$681$	−72.2334	−	46.4216i	−2.76799	−	1.77888i
$682$	8.85464	+	30.1561i	0.339062	+	1.15474i
$683$	−17.2638	−	2.48216i	−0.660581	−	0.0949772i	−0.196132	−	0.980577i	$-0.562838\pi$
$683$	−17.2638	−	2.48216i	−0.660581	−	0.0949772i	−0.464448	+	0.885600i	$0.653747\pi$
$684$	16.3652	−	18.8865i	0.625740	−	0.722143i
$685$	−19.1250	−	14.2900i	−0.730729	−	0.545994i
$686$	1.97434	+	2.27851i	0.0753808	+	0.0869940i
$687$	−13.5499	+	46.1467i	−0.516961	+	1.76061i
$688$	2.01501	+	0.920223i	0.0768215	+	0.0350832i
$689$	−20.4907			−0.780632
$690$	−18.0960	−	28.1918i	−0.688901	−	1.07324i
$691$	−43.5576			−1.65701			−0.828505	−	0.559981i	$-0.810808\pi$
$691$	−43.5576			−1.65701			−0.828505	+	0.559981i	$0.810808\pi$
$692$	1.04312	+	0.476376i	0.0396534	+	0.0181091i
$693$	23.7561	−	80.9057i	0.902418	−	3.07335i
$694$	1.42660	+	1.64639i	0.0541531	+	0.0624960i
$695$	7.64882	−	10.2368i	0.290136	−	0.388303i
$696$	−1.54629	+	1.78451i	−0.0586119	+	0.0676417i
$697$	25.9246	+	3.72740i	0.981966	+	0.141185i
$698$	4.16008	+	14.1679i	0.157461	+	0.536264i
$699$	14.5921	+	9.37778i	0.551925	+	0.354700i
$700$	−12.5636	+	14.5519i	−0.474861	+	0.550010i
$701$	−16.9489	−	37.1130i	−0.640153	−	1.40174i	−0.899915	−	0.436066i	$-0.856371\pi$
$701$	−16.9489	−	37.1130i	−0.640153	−	1.40174i	0.259762	−	0.965673i	$-0.416356\pi$
$702$	20.3911	−	9.31232i	0.769614	−	0.351471i
$703$	4.33102	−	0.622707i	0.163348	−	0.0234858i
$704$	2.72965	+	1.75424i	0.102878	+	0.0661155i
$705$	−19.3286	+	14.4963i	−0.727959	+	0.545963i
$706$	−1.29731	+	9.02298i	−0.0488248	+	0.339584i
$707$	16.8183	+	14.5731i	0.632516	+	0.548078i
$708$	−14.7379	−	22.9326i	−0.553884	−	0.861860i
$709$	21.8433	+	25.2085i	0.820342	+	0.946725i	0.999310	−	0.0371296i	$-0.0118214\pi$
$709$	21.8433	+	25.2085i	0.820342	+	0.946725i	−0.178968	+	0.983855i	$0.557276\pi$
$710$	−0.923421	−	12.7503i	−0.0346554	−	0.478509i
$711$	−18.2686	+	40.0027i	−0.685128	+	1.50022i
$712$			2.41680i			0.0905733i
$713$	37.2280	−	27.7847i	1.39420	−	1.04054i
$714$	−72.3548			−2.70781
$715$	13.8177	+	0.975798i	0.516753	+	0.0364928i
$716$	19.5953	+	5.75369i	0.732310	+	0.215026i
$717$	4.18034	−	3.62229i	0.156118	−	0.135277i
$718$	8.15934	+	12.6962i	0.304504	+	0.473817i
$719$	22.7517	−	26.2569i	0.848497	−	0.979218i	−0.151460	−	0.988463i	$-0.548398\pi$
$719$	22.7517	−	26.2569i	0.848497	−	0.979218i	0.999957	+	0.00924569i	$0.00294304\pi$
$720$	3.22570	+	14.7645i	0.120215	+	0.550241i
$721$	32.8823	−	9.65511i	1.22460	−	0.359575i
$722$	−2.88060	+	4.48230i	−0.107205	+	0.166814i
$723$	59.6684	−	8.57902i	2.21909	−	0.319057i
$724$	6.37784	+	13.9655i	0.237030	+	0.519024i
$725$	−3.44063	−	1.56382i	−0.127782	−	0.0580789i
$726$	0.209671	+	1.45829i	0.00778160	+	0.0541222i
$727$	0.398059	−	0.619392i	0.0147632	−	0.0229720i	−0.833794	−	0.552076i	$-0.813836\pi$
$727$	0.398059	−	0.619392i	0.0147632	−	0.0229720i	0.848557	+	0.529104i	$0.177472\pi$
$728$	2.06817	+	7.04353i	0.0766513	+	0.261050i
$729$	0.117585	−	0.817822i	0.00435500	−	0.0302897i
$730$	1.42272	−	3.82494i	0.0526572	−	0.141567i
$731$	−11.2257	+	7.21431i	−0.415197	+	0.266831i
$732$	8.10907	−	7.02655i	0.299720	−	0.259709i
$733$	−1.83337	+	6.24389i	−0.0677171	+	0.230623i	−0.986397	−	0.164379i	$-0.947438\pi$
$733$	−1.83337	+	6.24389i	−0.0677171	+	0.230623i	0.918680	+	0.395002i	$0.129256\pi$
$734$	−12.9388	+	28.3320i	−0.477580	+	1.04575i
$735$	19.0474	+	50.9283i	0.702573	+	1.87852i
$736$	1.02620	−	4.68475i	0.0378263	−	0.172682i
$737$		−	36.4808i		−	1.34379i
$738$	−26.7304	−	12.2074i	−0.983961	−	0.449360i
$739$	9.79824	+	2.87702i	0.360434	+	0.105833i	0.456935	−	0.889500i	$-0.348947\pi$
$739$	9.79824	+	2.87702i	0.360434	+	0.105833i	−0.0965013	+	0.995333i	$0.530765\pi$
$740$	−1.26605	+	2.32355i	−0.0465409	+	0.0854155i
$741$	18.5518	−	11.9225i	0.681518	−	0.437985i
$742$	−31.1875	−	27.0241i	−1.14493	−	0.992087i
$743$	−25.2597	−	3.63180i	−0.926689	−	0.133238i	−0.337585	−	0.941295i	$-0.609610\pi$
$743$	−25.2597	−	3.63180i	−0.926689	−	0.133238i	−0.589104	+	0.808057i	$0.700519\pi$
$744$	−29.0328	+	8.52481i	−1.06440	+	0.312535i
$745$	−29.1102	−	6.30517i	−1.06651	−	0.231004i
$746$	1.24557	+	8.66314i	0.0456036	+	0.317180i
$747$	4.11006	−	1.87700i	0.150379	−	0.0686759i
$748$	−17.7796	+	8.11966i	−0.650086	+	0.296884i
$749$	2.56388	+	17.8322i	0.0936821	+	0.651573i
$750$	−30.6087	+	16.8208i	−1.11767	+	0.614207i
$751$	−30.1737	+	8.85979i	−1.10105	+	0.323298i	−0.781270	−	0.624193i	$-0.785428\pi$
$751$	−30.1737	+	8.85979i	−1.10105	+	0.323298i	−0.319782	+	0.947491i	$0.603610\pi$
$752$	−3.42363	−	0.492244i	−0.124847	−	0.0179503i
$753$	−67.5569	−	58.5384i	−2.46191	−	2.13326i
$754$	−1.21402	+	0.780201i	−0.0442118	+	0.0284132i
$755$	−6.24366	−	3.40202i	−0.227230	−	0.123812i
$756$	43.3176	+	12.7192i	1.57545	+	0.462593i
$757$	−20.3390	−	9.28852i	−0.739234	−	0.337597i	0.00995743	−	0.999950i	$-0.496830\pi$
$757$	−20.3390	−	9.28852i	−0.739234	−	0.337597i	−0.749191	+	0.662354i	$0.769558\pi$
$758$			15.6680i			0.569089i
$759$	−42.6990	+	23.2353i	−1.54987	+	0.843388i
$760$	2.89631	+	7.74408i	0.105060	+	0.280907i
$761$	9.76470	−	21.3817i	0.353970	−	0.775087i	−0.645961	−	0.763370i	$-0.723543\pi$
$761$	9.76470	−	21.3817i	0.353970	−	0.775087i	0.999931	−	0.0117164i	$-0.00372955\pi$
$762$	13.2789	−	45.2237i	0.481043	−	1.63828i
$763$	20.1879	−	17.4930i	0.730853	−	0.633288i
$764$	−2.47981	+	1.59368i	−0.0897163	+	0.0576572i
$765$	−85.3259	−	31.7377i	−3.08496	−	1.14748i
$766$	1.16563	−	8.10714i	0.0421160	−	0.292923i
$767$	−4.69375	−	15.9854i	−0.169481	−	0.577201i
$768$	−1.68890	+	2.62798i	−0.0609429	+	0.0948289i
$769$	−1.10736	−	7.70188i	−0.0399325	−	0.277737i	0.960065	−	0.279776i	$-0.0902601\pi$
$769$	−1.10736	−	7.70188i	−0.0399325	−	0.277737i	−0.999998	+	0.00203880i	$0.999351\pi$
$770$	19.7441	+	19.7087i	0.711529	+	0.710253i
$771$	−20.1053	−	44.0245i	−0.724076	−	1.58550i
$772$	3.18495	−	0.457926i	0.114629	−	0.0164811i
$773$	8.04304	−	12.5152i	0.289288	−	0.450141i	−0.665943	−	0.746003i	$-0.731971\pi$
$773$	8.04304	−	12.5152i	0.289288	−	0.450141i	0.955231	+	0.295862i	$0.0956069\pi$
$774$	14.3652	−	4.21801i	0.516347	−	0.151613i
$775$	−26.2568	−	40.6956i	−0.943174	−	1.46183i
$776$	0.0453466	−	0.0523328i	0.00162785	−	0.00187864i
$777$	7.68458	+	11.9574i	0.275683	+	0.428971i
$778$	−14.2454	+	12.3437i	−0.510722	+	0.442543i
$779$	−15.4254	−	4.52931i	−0.552673	−	0.162279i
$780$	−0.939450	+	13.3030i	−0.0336377	+	0.476324i
$781$	−18.5503			−0.663782
$782$	20.3984	+	20.4574i	0.729444	+	0.731556i
$783$			8.87507i			0.317169i
$784$	−3.23364	+	7.08067i	−0.115487	+	0.252881i
$785$	1.12624	+	15.5507i	0.0401971	+	0.555027i
$786$	12.5922	+	14.5321i	0.449147	+	0.518344i
$787$	18.6927	+	29.0864i	0.666323	+	1.03682i	0.995701	+	0.0926211i	$0.0295245\pi$
$787$	18.6927	+	29.0864i	0.666323	+	1.03682i	−0.329378	+	0.944198i	$0.606839\pi$
$788$	11.0019	+	9.53321i	0.391927	+	0.339607i
$789$	−4.11430	+	28.6156i	−0.146473	+	1.01874i
$790$	−8.72968	−	11.6397i	−0.310588	−	0.414122i
$791$	−33.2770	−	21.3858i	−1.18319	−	0.760391i
$792$	21.7069	−	3.12097i	0.771319	−	0.110899i
$793$	5.96506	−	2.72415i	0.211826	−	0.0967375i
$794$	10.3801	+	22.7293i	0.368376	+	0.806631i
$795$	−35.9881	−	65.7669i	−1.27637	−	2.33251i
$796$	7.09191	+	4.55770i	0.251366	+	0.161543i
$797$	−9.12122	−	31.0640i	−0.323090	−	1.10034i	−0.947635	−	0.319355i	$-0.896534\pi$
$797$	−9.12122	−	31.0640i	−0.323090	−	1.10034i	0.624545	−	0.780989i	$-0.285284\pi$
$798$	43.9605	+	6.32057i	1.55619	+	0.223746i
$799$	13.6444	−	15.7465i	0.482704	−	0.557070i
$800$	−4.79999	−	1.40005i	−0.169705	−	0.0494992i
$801$	10.6967	+	12.3446i	0.377948	+	0.436175i
$802$	1.46440	−	4.98730i	0.0517099	−	0.176108i
$803$	−5.38673	−	2.46004i	−0.190093	−	0.0868128i
$804$	35.1219			1.23865
$805$	17.1494	−	37.4976i	0.604438	−	1.32162i
$806$	−18.4928			−0.651383
$807$	82.8889	+	37.8541i	2.91783	+	1.33253i
$808$	−1.63058	+	5.55326i	−0.0573637	+	0.195363i
$809$	21.1367	+	24.3931i	0.743128	+	0.857616i	0.993883	−	0.110435i	$-0.0352243\pi$
$809$	21.1367	+	24.3931i	0.743128	+	0.857616i	−0.250755	+	0.968051i	$0.580679\pi$
$810$	29.3826	+	21.9544i	1.03240	+	0.771401i
$811$	18.5484	−	21.4060i	0.651322	−	0.751666i	−0.330012	−	0.943977i	$-0.607053\pi$
$811$	18.5484	−	21.4060i	0.651322	−	0.751666i	0.981334	+	0.192311i	$0.0615982\pi$
$812$	−2.87674	−	0.413613i	−0.100954	−	0.0145150i
$813$	−24.7669	−	84.3484i	−0.868614	−	2.95823i
$814$	3.23018	+	2.07591i	0.113218	+	0.0727607i
$815$	3.65552	−	2.00033i	0.128047	−	0.0700684i
$816$	−7.81721	−	17.1173i	−0.273657	−	0.599225i
$817$	7.45059	−	3.40257i	0.260663	−	0.119041i
$818$	38.3649	−	5.51604i	1.34140	−	0.192864i
$819$	41.7383	+	26.8236i	1.45845	+	0.937291i
$820$	7.77782	−	5.83330i	0.271613	−	0.203708i
$821$	1.21178	−	8.42809i	0.0422913	−	0.294142i	−0.957689	−	0.287806i	$-0.907074\pi$
$821$	1.21178	−	8.42809i	0.0422913	−	0.294142i	0.999980	−	0.00633604i	$-0.00201684\pi$
$822$	−25.2066	−	21.8416i	−0.879180	−	0.761814i
$823$	−8.45457	−	13.1556i	−0.294708	−	0.458575i	0.662050	−	0.749460i	$-0.269687\pi$
$823$	−8.45457	−	13.1556i	−0.294708	−	0.458575i	−0.956758	+	0.290885i	$0.906050\pi$
$824$	5.83675	+	6.73597i	0.203333	+	0.234659i
$825$	21.1364	+	46.0632i	0.735874	+	1.60372i
$826$	13.9384	−	30.5208i	0.484978	−	1.06195i
$827$			3.79473i			0.131956i	0.997821	+	0.0659778i	$0.0210167\pi$
$827$			3.79473i			0.131956i	−0.997821	+	0.0659778i	$0.978983\pi$
$828$	−15.4929	−	28.4709i	−0.538415	−	0.989432i
$829$	−22.4881			−0.781044			−0.390522	−	0.920594i	$-0.627705\pi$
$829$	−22.4881			−0.781044			−0.390522	+	0.920594i	$0.627705\pi$
$830$	−0.105306	+	1.49117i	−0.00365521	+	0.0517593i
$831$	57.4717	+	16.8752i	1.99367	+	0.585395i
$832$	−1.44287	+	1.25026i	−0.0500227	+	0.0433449i
$833$	−25.3509	−	39.4467i	−0.878355	−	1.36675i
$834$	11.6908	−	13.4920i	0.404821	−	0.467188i
$835$	−30.2734	+	6.61405i	−1.04766	+	0.228889i
$836$	11.5116	−	3.38012i	0.398138	−	0.116904i
$837$	−61.4875	+	95.6765i	−2.12532	+	3.30706i
$838$	−26.4039	+	3.79631i	−0.912108	+	0.131141i
$839$	14.4137	+	31.5617i	0.497617	+	1.08963i	0.977237	+	0.212153i	$0.0680474\pi$
$839$	14.4137	+	31.5617i	0.497617	+	1.08963i	−0.479620	+	0.877477i	$0.659225\pi$
$840$	−18.9746	+	19.0087i	−0.654685	+	0.655861i
$841$	4.04582	+	28.1393i	0.139511	+	0.970321i
$842$	−14.4757	+	22.5246i	−0.498865	+	0.776249i
$843$	17.4764	+	59.5192i	0.601919	+	2.04995i
$844$	3.76330	−	26.1743i	0.129538	−	0.900957i
$845$	7.29262	−	19.6060i	0.250874	−	0.674467i
$846$	−19.6660	+	12.6386i	−0.676131	+	0.434523i
$847$	−1.37047	+	1.18751i	−0.0470897	+	0.0408035i
$848$	3.02372	−	10.2979i	0.103835	−	0.353630i
$849$	4.94385	−	10.8255i	0.169672	−	0.371531i
$850$	22.7272	−	19.7648i	0.779537	−	0.677926i
$851$	1.21437	−	5.54378i	0.0416282	−	0.190038i
$852$		−	17.8593i		−	0.611850i
$853$	18.0466	+	8.24163i	0.617905	+	0.282188i	0.699673	−	0.714463i	$-0.253329\pi$
$853$	18.0466	+	8.24163i	0.617905	+	0.282188i	−0.0817673	+	0.996651i	$0.526056\pi$
$854$	12.6718	+	3.72077i	0.433620	+	0.127322i
$855$	49.0689	+	26.7365i	1.67812	+	0.914370i
$856$	−3.94164	+	2.53314i	−0.134722	+	0.0865808i
$857$	12.1385	+	10.5181i	0.414644	+	0.359291i	0.837060	−	0.547111i	$-0.184272\pi$
$857$	12.1385	+	10.5181i	0.414644	+	0.359291i	−0.422416	+	0.906402i	$0.638818\pi$
$858$	19.1550	+	2.75408i	0.653942	+	0.0940227i
$859$	46.2661	−	13.5850i	1.57858	−	0.463513i	0.629096	−	0.777327i	$-0.283425\pi$
$859$	46.2661	−	13.5850i	1.57858	−	0.463513i	0.949484	+	0.313814i	$0.101607\pi$
$860$	−1.04856	+	4.84106i	−0.0357555	+	0.165079i
$861$	−7.43230	−	51.6928i	−0.253292	−	1.76169i
$862$	31.6264	−	14.4433i	1.07720	−	0.491940i
$863$	8.69453	−	3.97066i	0.295965	−	0.135163i	−0.261898	−	0.965095i	$-0.584349\pi$
$863$	8.69453	−	3.97066i	0.295965	−	0.135163i	0.557864	+	0.829933i	$0.311621\pi$
$864$	1.67100	+	11.6220i	0.0568484	+	0.395389i
$865$	−0.542811	+	2.50609i	−0.0184561	+	0.0852096i
$866$	−10.6824	+	3.13663i	−0.363003	+	0.106587i
$867$	59.6368	+	8.57447i	2.02537	+	0.291204i
$868$	−28.1468	−	24.3893i	−0.955364	−	0.827827i
$869$	−17.7612	+	11.4144i	−0.602508	+	0.387208i
$870$	−4.63633	−	2.52623i	−0.157186	−	0.0856472i
$871$	20.5957	+	6.04743i	0.697858	+	0.204909i
$872$	6.31950	+	2.88602i	0.214005	+	0.0977329i
$873$		−	0.468010i		−	0.0158397i
$874$	−10.6063	−	14.2112i	−0.358765	−	0.480701i
$875$	−37.7855	−	20.5005i	−1.27738	−	0.693045i
$876$	2.36840	−	5.18607i	0.0800208	−	0.175221i
$877$	−8.71467	+	29.6794i	−0.294274	+	1.00220i	0.671107	+	0.741360i	$0.265819\pi$
$877$	−8.71467	+	29.6794i	−0.294274	+	1.00220i	−0.965381	+	0.260844i	$0.915999\pi$
$878$	5.47144	−	4.74103i	0.184652	−	0.160002i
$879$	−52.4697	+	33.7202i	−1.76976	+	1.13735i
$880$	−2.52943	+	6.80029i	−0.0852669	+	0.229238i
$881$	0.479230	−	3.33312i	0.0161457	−	0.112296i	−0.980155	−	0.198234i	$-0.936480\pi$
$881$	0.479230	−	3.33312i	0.0161457	−	0.112296i	0.996300	+	0.0859379i	$0.0273887\pi$
$882$	14.8219	+	50.4789i	0.499081	+	1.69971i
$883$	9.78488	−	15.2256i	0.329287	−	0.512381i	−0.636652	−	0.771152i	$-0.719681\pi$
$883$	9.78488	−	15.2256i	0.329287	−	0.512381i	0.965939	+	0.258771i	$0.0833174\pi$
$884$	−1.63673	−	11.3837i	−0.0550490	−	0.382875i
$885$	43.0632	−	43.1406i	1.44755	−	1.45016i
$886$	−8.47225	−	18.5516i	−0.284631	−	0.623254i
$887$	37.2908	−	5.36161i	1.25210	−	0.180025i	0.515818	−	0.856698i	$-0.327488\pi$
$887$	37.2908	−	5.36161i	1.25210	−	0.180025i	0.736284	+	0.676673i	$0.236579\pi$
$888$	−1.99859	+	3.10986i	−0.0670681	+	0.104360i
$889$	55.6634	−	16.3442i	1.86689	−	0.548168i
$890$	−5.27959	+	1.15347i	−0.176972	+	0.0386643i
$891$	34.8546	−	40.2244i	1.16767	−	1.34757i
$892$	11.6171	+	18.0765i	0.388969	+	0.605247i
$893$	−9.66545	+	8.37516i	−0.323442	+	0.280264i
$894$	−39.9256	−	11.7232i	−1.33531	−	0.392083i
$895$	−3.21690	+	45.5527i	−0.107529	+	1.52266i
$896$	−3.84501			−0.128453
$897$	−6.03955	−	27.9579i	−0.201655	−	0.933489i
$898$			16.9914i			0.567011i
$899$	3.04146	−	6.65987i	0.101438	−	0.222119i
$900$	−30.7141	+	14.0934i	−1.02380	+	0.469779i
$901$	42.3379	+	48.8605i	1.41048	+	1.62778i
$902$	−7.62730	−	11.8683i	−0.253961	−	0.395171i
$903$	20.1086	+	17.4242i	0.669171	+	0.579840i
$904$	1.46409	−	10.1830i	0.0486951	−	0.338682i
$905$	−27.4643	+	20.5980i	−0.912943	+	0.684700i
$906$	−8.35655	−	5.37043i	−0.277628	−	0.178421i
$907$	0.628372	−	0.0903462i	0.0208647	−	0.00299990i	−0.131875	−	0.991266i	$-0.542100\pi$
$907$	0.628372	−	0.0903462i	0.0208647	−	0.00299990i	0.152739	+	0.988267i	$0.451191\pi$
$908$	25.0024	−	11.4182i	0.829735	−	0.378927i
$909$	16.2498	+	35.5820i	0.538971	+	1.18018i
$910$	−14.3998	+	7.87966i	−0.477348	+	0.261208i
$911$	38.7545	+	24.9060i	1.28399	+	0.825173i	0.991375	−	0.131056i	$-0.0418368\pi$
$911$	38.7545	+	24.9060i	1.28399	+	0.825173i	0.292619	+	0.956229i	$0.405473\pi$
$912$	3.25421	+	11.0828i	0.107758	+	0.366989i
$913$	2.14714	+	0.308712i	0.0710600	+	0.0102169i
$914$	−6.95682	+	8.02860i	−0.230111	+	0.265563i
$915$	19.2200	+	14.3610i	0.635394	+	0.474760i
$916$	−10.0822	−	11.6354i	−0.333124	−	0.384446i
$917$	−6.66793	+	22.7089i	−0.220195	+	0.749914i
$918$	−64.3377	−	29.3821i	−2.12346	−	0.969753i
$919$	−4.06245			−0.134008			−0.0670040	−	0.997753i	$-0.521344\pi$
$919$	−4.06245			−0.134008			−0.0670040	+	0.997753i	$0.521344\pi$
$920$	10.7238	+	0.00588056i	0.353553	+	0.000193876i
$921$	−21.4164			−0.705693
$922$	−21.7049	−	9.91230i	−0.714813	−	0.326444i
$923$	3.07509	−	10.4728i	0.101218	−	0.344717i
$924$	25.5224	+	29.4544i	0.839626	+	0.968980i
$925$	−5.68014	−	1.65677i	−0.186762	−	0.0544743i
$926$	6.68624	−	7.71633i	0.219723	−	0.253574i
$927$	59.6264	+	8.57298i	1.95839	+	0.281574i
$928$	−0.212953	−	0.725251i	−0.00699052	−	0.0238075i
$929$	−1.62131	−	1.04196i	−0.0531936	−	0.0341854i	0.513774	−	0.857926i	$-0.328247\pi$
$929$	−1.62131	−	1.04196i	−0.0531936	−	0.0341854i	−0.566967	+	0.823740i	$0.691883\pi$
$930$	−32.4793	−	59.3547i	−1.06504	−	1.94632i
$931$	11.9565	+	26.1811i	0.391859	+	0.858052i
$932$	−5.05083	+	2.30664i	−0.165445	+	0.0755564i
$933$	102.695	−	14.7654i	3.36210	−	0.483397i
$934$	−5.75728	−	3.69998i	−0.188384	−	0.121067i
$935$	−26.2234	−	34.9649i	−0.857597	−	1.14347i
$936$	−1.83637	+	12.7722i	−0.0600236	+	0.417473i
$937$	−21.8438	−	18.9277i	−0.713605	−	0.618342i	0.220481	−	0.975391i	$-0.429237\pi$
$937$	−21.8438	−	18.9277i	−0.713605	−	0.618342i	−0.934085	+	0.357049i	$0.883783\pi$
$938$	23.3717	+	36.3670i	0.763112	+	1.18743i
$939$	−54.2902	−	62.6542i	−1.77169	−	2.04464i
$940$	−0.558675	−	7.71399i	−0.0182220	−	0.251603i
$941$	−9.76305	+	21.3781i	−0.318266	+	0.696906i	−0.999378	−	0.0352737i	$-0.988770\pi$
$941$	−9.76305	+	21.3781i	−0.318266	+	0.696906i	0.681111	+	0.732180i	$0.261497\pi$
$942$			21.7819i			0.709691i
$943$	−12.5202	+	16.6747i	−0.407713	+	0.543003i
$944$	8.72634			0.284018
$945$	−7.11133	+	100.700i	−0.231332	+	3.27576i
$946$	6.89658	+	2.02502i	0.224227	+	0.0658390i
$947$	−24.1888	+	20.9597i	−0.786031	+	0.681099i	−0.952362	−	0.304970i	$-0.901353\pi$
$947$	−24.1888	+	20.9597i	−0.786031	+	0.681099i	0.166331	+	0.986070i	$0.446808\pi$
$948$	−10.9893	−	17.0996i	−0.356914	−	0.555370i
$949$	2.28180	−	2.63334i	0.0740704	−	0.0854818i
$950$	−15.5349	+	10.0231i	−0.504019	+	0.325193i
$951$	35.2234	−	10.3425i	1.14220	−	0.335379i
$952$	12.5222	−	19.4850i	0.405848	−	0.631511i
$953$	−13.1519	+	1.89095i	−0.426031	+	0.0612540i	−0.351996	−	0.936002i	$-0.614497\pi$
$953$	−13.1519	+	1.89095i	−0.426031	+	0.0612540i	−0.0740353	+	0.997256i	$0.523588\pi$
$954$	−30.1333	−	65.9827i	−0.975601	−	2.13627i
$955$	−4.66499	−	4.65662i	−0.150956	−	0.150685i
$956$	0.251994	+	1.75265i	0.00815006	+	0.0566849i
$957$	−4.14220	+	6.44539i	−0.133898	+	0.208350i
$958$	−8.32005	−	28.3355i	−0.268808	−	0.915478i
$959$	5.84237	−	40.6346i	0.188660	−	1.31216i
$960$	−6.54698	−	2.43521i	−0.211303	−	0.0785959i
$961$	52.8495	−	33.9643i	1.70482	−	1.09562i
$962$	−1.70745	+	1.47951i	−0.0550504	+	0.0477014i
$963$	−8.92167	+	30.3844i	−0.287497	+	0.979124i
$964$	−8.01633	+	17.5533i	−0.258188	+	0.565354i
$965$	2.52044	+	6.73909i	0.0811359	+	0.216939i
$966$	27.6800	−	50.5183i	0.890588	−	1.62540i
$967$			21.5700i			0.693644i	0.937931	+	0.346822i	$0.112739\pi$
$967$			21.5700i			0.693644i	−0.937931	+	0.346822i	$0.887261\pi$
$968$	−0.429001	−	0.195918i	−0.0137886	−	0.00629705i
$969$	−66.7614	−	19.6029i	−2.14469	−	0.629736i
$970$	0.135966	+	0.0740845i	0.00436559	+	0.00237871i
$971$	−14.7530	+	9.48117i	−0.473446	+	0.304265i	−0.755518	−	0.655128i	$-0.772615\pi$
$971$	−14.7530	+	9.48117i	−0.473446	+	0.304265i	0.282072	+	0.959393i	$0.408978\pi$
$972$	12.1050	+	10.4891i	0.388269	+	0.336437i
$973$	21.7499	+	3.12716i	0.697269	+	0.100252i
$974$	4.74395	−	1.39295i	0.152006	−	0.0446329i
$975$	−29.5093	+	4.29688i	−0.945055	+	0.137610i
$976$	0.488820	+	3.39982i	0.0156467	+	0.108825i
$977$	25.4035	−	11.6014i	0.812731	−	0.371162i	0.0347076	−	0.999398i	$-0.488950\pi$
$977$	25.4035	−	11.6014i	0.812731	−	0.371162i	0.778023	+	0.628236i	$0.216223\pi$
$978$	5.29544	−	2.41835i	0.169330	−	0.0773302i
$979$	1.11602	+	7.76207i	0.0356681	+	0.248077i
$980$	−17.0113	−	3.68460i	−0.543407	−	0.117700i
$981$	45.0524	−	13.2286i	1.43841	−	0.422356i
$982$	31.4759	+	4.52556i	1.00444	+	0.144416i
$983$	28.0580	+	24.3124i	0.894912	+	0.775446i	0.975200	−	0.221326i	$-0.0710385\pi$
$983$	28.0580	+	24.3124i	0.894912	+	0.775446i	−0.0802878	+	0.996772i	$0.525584\pi$
$984$	11.4262	−	7.34318i	0.364255	−	0.234092i
$985$	−15.5748	+	28.5840i	−0.496254	+	0.910763i
$986$	4.36881	+	1.28280i	0.139131	+	0.0408527i
$987$	−37.7910	−	17.2586i	−1.20290	−	0.549346i
$988$			7.05935i			0.224588i
$989$	−0.742562	−	10.5977i	−0.0236121	−	0.336987i
$990$	17.1779	+	45.9299i	0.545951	+	1.45975i
$991$	9.00981	−	19.7287i	0.286206	−	0.626704i	−0.710853	−	0.703341i	$-0.751691\pi$
$991$	9.00981	−	19.7287i	0.286206	−	0.626704i	0.997059	+	0.0766367i	$0.0244182\pi$
$992$	2.72892	−	9.29383i	0.0866432	−	0.295079i
$993$	−50.9393	+	44.1392i	−1.61651	+	1.40071i
$994$	18.4925	−	11.8844i	0.586545	−	0.376950i
$995$	−6.57170	+	17.6678i	−0.208337	+	0.560108i
$996$	−0.297213	+	2.06716i	−0.00941756	+	0.0655005i
$997$	−7.38805	−	25.1614i	−0.233982	−	0.796869i	−0.989846	−	0.142141i	$-0.954601\pi$
$997$	−7.38805	−	25.1614i	−0.233982	−	0.796869i	0.755865	−	0.654728i	$-0.227217\pi$
$998$	14.5824	−	22.6906i	0.461598	−	0.718260i
$999$	1.97740	+	13.7531i	0.0625622	+	0.435130i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.j.a.29.6	✓	120
5.4	even	2	inner	230.2.j.a.29.7	yes	120
23.4	even	11	inner	230.2.j.a.119.7	yes	120
115.4	even	22	inner	230.2.j.a.119.6	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.j.a.29.6	✓	120	1.1	even	1	trivial
230.2.j.a.29.7	yes	120	5.4	even	2	inner
230.2.j.a.119.6	yes	120	115.4	even	22	inner
230.2.j.a.119.7	yes	120	23.4	even	11	inner

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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.909632 - 0.415415i) q^{2} +(0.880099 - 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.33842 + 1.79127i) q^{5} +(-2.04571 + 2.36087i) q^{6} +(-3.80587 - 0.547202i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-5.68573 - 3.65400i) q^{9} +O(q^{10})\)	\(q+(-0.909632 - 0.415415i) q^{2} +(0.880099 - 2.99734i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.33842 + 1.79127i) q^{5} +(-2.04571 + 2.36087i) q^{6} +(-3.80587 - 0.547202i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(-5.68573 - 3.65400i) q^{9} +(1.96159 - 1.07339i) q^{10} +(-1.34792 - 2.95153i) q^{11} +(2.84158 - 1.29771i) q^{12} +(1.88976 - 0.271707i) q^{13} +(3.23463 + 2.07877i) q^{14} +(4.19110 + 5.58819i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(-4.55253 - 3.94479i) q^{17} +(3.65400 + 5.68573i) q^{18} +(2.42138 + 2.79442i) q^{19} +(-2.23023 + 0.161521i) q^{20} +(-4.98970 + 10.9259i) q^{21} +3.24475i q^{22} +(4.49587 - 1.66947i) q^{23} -3.12388 q^{24} +(-1.41727 - 4.79493i) q^{25} +(-1.83186 - 0.537883i) q^{26} +(-8.87367 + 7.68907i) q^{27} +(-2.07877 - 3.23463i) q^{28} +(0.494989 - 0.571248i) q^{29} +(-1.49094 - 6.82424i) q^{30} +(9.29383 - 2.72892i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-10.0330 + 1.44253i) q^{33} +(2.50240 + 5.47950i) q^{34} +(6.07404 - 6.08495i) q^{35} +(-0.961854 - 6.68984i) q^{36} +(0.639776 - 0.995511i) q^{37} +(-1.04172 - 3.54777i) q^{38} +(0.848781 - 5.90340i) q^{39} +(2.09578 + 0.779545i) q^{40} +(-3.65770 + 2.35066i) q^{41} +(9.07758 - 7.86577i) q^{42} +(0.624091 - 2.12546i) q^{43} +(1.34792 - 2.95153i) q^{44} +(14.1552 - 5.29408i) q^{45} +(-4.78311 - 0.349047i) q^{46} +3.45884i q^{47} +(2.84158 + 1.29771i) q^{48} +(7.46880 + 2.19304i) q^{49} +(-0.702689 + 4.95038i) q^{50} +(-15.8306 + 10.1737i) q^{51} +(1.44287 + 1.25026i) q^{52} +(-10.6234 - 1.52741i) q^{53} +(11.2659 - 3.30797i) q^{54} +(7.09104 + 1.53590i) q^{55} +(0.547202 + 3.80587i) q^{56} +(10.5069 - 4.79834i) q^{57} +(-0.687563 + 0.313999i) q^{58} +(-1.24189 - 8.63752i) q^{59} +(-1.47869 + 6.82691i) q^{60} +(3.29564 - 0.967689i) q^{61} +(-9.58760 - 1.37849i) q^{62} +(19.6397 + 17.0179i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-2.04260 + 3.74873i) q^{65} +(9.72562 + 2.85570i) q^{66} +(10.2270 + 4.67052i) q^{67} -6.02386i q^{68} +(-1.04717 - 14.9450i) q^{69} +(-8.05292 + 3.01182i) q^{70} +(2.37494 - 5.20039i) q^{71} +(-1.90413 + 6.48487i) q^{72} +(1.37929 - 1.19516i) q^{73} +(-0.995511 + 0.639776i) q^{74} +(-15.6194 + 0.0280389i) q^{75} +(-0.526216 + 3.65991i) q^{76} +(3.51492 + 11.9707i) q^{77} +(-3.22444 + 5.01732i) q^{78} +(-0.926009 - 6.44053i) q^{79} +(-1.58256 - 1.57972i) q^{80} +(6.81417 + 14.9209i) q^{81} +(4.30366 - 0.618773i) q^{82} +(-0.361436 + 0.562406i) q^{83} +(-11.5248 + 3.38399i) q^{84} +(13.1594 - 2.87502i) q^{85} +(-1.45064 + 1.67413i) q^{86} +(-1.27659 - 1.98641i) q^{87} +(-2.45222 + 2.12486i) q^{88} +(-2.31890 - 0.680890i) q^{89} +(-15.0752 - 1.06460i) q^{90} -7.34088 q^{91} +(4.20587 + 2.30448i) q^{92} -30.2585i q^{93} +(1.43685 - 3.14627i) q^{94} +(-8.24637 + 0.597232i) q^{95} +(-2.04571 - 2.36087i) q^{96} +(0.0374373 + 0.0582536i) q^{97} +(-5.88284 - 5.09751i) q^{98} +(-3.12097 + 21.7069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9	\( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) 120 * q + 12 * q^4 - 4 * q^6 + 8 * q^9 + 8 * q^11 - 6 * q^15 - 12 * q^16 - 16 * q^19 - 22 * q^20 + 4 * q^24 - 52 * q^25 - 4 * q^26 - 8 * q^29 - 44 * q^30 + 12 * q^31 + 16 * q^35 - 8 * q^36 - 36 * q^39 - 28 * q^41 - 8 * q^44 + 16 * q^45 - 4 * q^46 - 58 * q^49 + 12 * q^50 - 24 * q^51 - 6 * q^54 - 36 * q^55 + 22 * q^56 - 102 * q^59 - 38 * q^60 + 72 * q^61 + 12 * q^64 - 138 * q^65 + 80 * q^66 - 212 * q^69 - 108 * q^70 + 176 * q^71 - 88 * q^74 - 100 * q^75 + 16 * q^76 - 104 * q^79 - 22 * q^80 - 28 * q^81 - 22 * q^84 + 2 * q^85 + 62 * q^86 + 48 * q^89 + 24 * q^90 - 56 * q^91 + 24 * q^94 + 18 * q^95 - 4 * q^96 + 188 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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