LMFDB - Embedded newform 155.2.q.a.51.5

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [155,2,Mod(41,155)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("155.41"); S:= CuspForms(chi, 2); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(155, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([0, 14])) N = Newforms(chi, 2, names="a")

Level:	$ N $	$=$	$ 155 = 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	155.q (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [40,-2] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(2)] == traces)

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

Self dual:	no
Analytic conductor:	$1.23768123133$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			51.5
Character	$\chi$	$=$	155.51
Dual form			155.2.q.a.76.5

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.646517 + 1.98977i) q^{2} +(1.02325 + 1.13643i) q^{3} +(-1.92319 + 1.39728i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.59970 + 2.77076i) q^{6} +(-0.316994 - 3.01600i) q^{7} +(-0.638431 - 0.463847i) q^{8} +(0.0691433 - 0.657854i) q^{9} +(-1.39994 + 1.55479i) q^{10} +(-5.57748 - 2.48326i) q^{11} +(-3.55581 - 0.755811i) q^{12} +(5.63533 - 1.19783i) q^{13} +(5.79622 - 2.58064i) q^{14} +(-0.472556 + 1.45438i) q^{15} +(-0.958988 + 2.95146i) q^{16} +(-5.25138 + 2.33807i) q^{17} +(1.35368 - 0.287735i) q^{18} +(1.99768 + 0.424620i) q^{19} +(-2.17167 - 0.966890i) q^{20} +(3.10312 - 3.44636i) q^{21} +(1.33518 - 12.7034i) q^{22} +(-4.95413 - 3.59938i) q^{23} +(-0.126143 - 1.20017i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(6.02674 + 10.4386i) q^{26} +(4.52986 - 3.29114i) q^{27} +(4.82382 + 5.35740i) q^{28} +(1.77750 + 5.47059i) q^{29} -3.19940 q^{30} +(2.16791 + 5.12837i) q^{31} -8.07104 q^{32} +(-2.88510 - 8.87943i) q^{33} +(-8.04733 - 8.93747i) q^{34} +(2.45343 - 1.78252i) q^{35} +(0.786229 + 1.36179i) q^{36} +(-1.18290 + 2.04884i) q^{37} +(0.446636 + 4.24946i) q^{38} +(7.12760 + 5.17850i) q^{39} +(0.0824880 - 0.784821i) q^{40} +(0.618888 - 0.687345i) q^{41} +(8.86371 + 3.94638i) q^{42} +(4.17130 + 0.886637i) q^{43} +(14.1963 - 3.01752i) q^{44} +(0.604290 - 0.269047i) q^{45} +(3.95904 - 12.1847i) q^{46} +(0.482864 - 1.48610i) q^{47} +(-4.33543 + 1.93026i) q^{48} +(-2.14873 + 0.456727i) q^{49} +(-2.04645 - 0.434987i) q^{50} +(-8.03053 - 3.57542i) q^{51} +(-9.16409 + 10.1778i) q^{52} +(0.300872 - 2.86260i) q^{53} +(9.47725 + 6.88563i) q^{54} +(-0.638179 - 6.07187i) q^{55} +(-1.19658 + 2.07254i) q^{56} +(1.56157 + 2.70472i) q^{57} +(-9.73605 + 7.07365i) q^{58} +(0.130293 + 0.144705i) q^{59} +(-1.12335 - 3.45733i) q^{60} -9.68296 q^{61} +(-8.80271 + 7.62923i) q^{62} -2.00601 q^{63} +(-3.30009 - 10.1566i) q^{64} +(3.85501 + 4.28142i) q^{65} +(15.8028 - 11.4814i) q^{66} +(-3.22324 - 5.58282i) q^{67} +(6.83246 - 11.8342i) q^{68} +(-0.978847 - 9.31310i) q^{69} +(5.13301 + 3.72935i) q^{70} +(-0.100240 + 0.953724i) q^{71} +(-0.349287 + 0.387923i) q^{72} +(-0.985838 - 0.438923i) q^{73} +(-4.84150 - 1.02909i) q^{74} +(-1.49581 + 0.317943i) q^{75} +(-4.43522 + 1.97469i) q^{76} +(-5.72147 + 17.6089i) q^{77} +(-5.69594 + 17.5303i) q^{78} +(-8.81227 + 3.92348i) q^{79} +(-3.03554 + 0.645223i) q^{80} +(6.43427 + 1.36765i) q^{81} +(1.76778 + 0.787068i) q^{82} +(5.35103 - 5.94292i) q^{83} +(-1.15235 + 10.9639i) q^{84} +(-4.65052 - 3.37880i) q^{85} +(0.932608 + 8.87317i) q^{86} +(-4.39813 + 7.61779i) q^{87} +(2.40899 + 4.17249i) q^{88} +(-8.64669 + 6.28219i) q^{89} +(0.926028 + 1.02846i) q^{90} +(-5.39901 - 16.6164i) q^{91} +14.5570 q^{92} +(-3.60974 + 7.71129i) q^{93} +3.26919 q^{94} +(0.631108 + 1.94235i) q^{95} +(-8.25869 - 9.17220i) q^{96} +(-1.95842 + 1.42288i) q^{97} +(-2.29797 - 3.98021i) q^{98} +(-2.01927 + 3.49747i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q - 2 q^{2} - q^{3} - 10 q^{4} + 20 q^{5} + 4 q^{6} + 4 q^{7} + 13 q^{8} + 2 q^{9} - q^{10} - 28 q^{11} - 13 q^{12} - 6 q^{13} - 6 q^{14} - 2 q^{15} + 8 q^{16} - 10 q^{17} - 27 q^{18} - 13 q^{19} - 5 q^{20}+ \cdots + 53 q^{99}+O(q^{100}) $ 40 * q - 2 * q^2 - q^3 - 10 * q^4 + 20 * q^5 + 4 * q^6 + 4 * q^7 + 13 * q^8 + 2 * q^9 - q^10 - 28 * q^11 - 13 * q^12 - 6 * q^13 - 6 * q^14 - 2 * q^15 + 8 * q^16 - 10 * q^17 - 27 * q^18 - 13 * q^19 - 5 * q^20 - 8 * q^21 + 2 * q^22 - 12 * q^23 - 82 * q^24 - 20 * q^25 + 32 * q^26 - q^27 + 22 * q^28 + 42 * q^29 + 8 * q^30 - 10 * q^31 + 4 * q^32 + 13 * q^33 + 32 * q^34 + 8 * q^35 - 13 * q^36 + 12 * q^37 + 30 * q^38 + 37 * q^39 + 44 * q^40 + 36 * q^41 - 64 * q^42 - 78 * q^43 - 56 * q^44 - 2 * q^45 + 18 * q^46 - 4 * q^47 - 41 * q^48 - 31 * q^49 + q^50 - 2 * q^51 + 49 * q^52 - 11 * q^53 + 22 * q^54 - 17 * q^55 + 9 * q^56 + 38 * q^57 + 11 * q^58 - q^59 - 11 * q^60 - 100 * q^61 - 35 * q^62 + 110 * q^63 + 17 * q^64 + 6 * q^65 - 40 * q^66 + 30 * q^67 - 34 * q^68 + 8 * q^69 + 18 * q^70 - 2 * q^71 + 151 * q^72 - 23 * q^73 - 2 * q^74 - q^75 + 2 * q^76 + 36 * q^77 - 2 * q^78 - 67 * q^79 - 41 * q^80 - 83 * q^81 + 2 * q^82 + 26 * q^84 - 5 * q^85 - 5 * q^86 - 46 * q^87 + 70 * q^88 + 20 * q^89 - 33 * q^90 + 19 * q^91 - 10 * q^92 - 67 * q^93 + 130 * q^94 + 4 * q^95 + 46 * q^96 - 18 * q^97 - 65 * q^98 + 53 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/155\mathbb{Z}\right)^\times$.

$n$	$32$	$96$
$\chi(n)$	$1$	$e\left(\frac{4}{15}\right)$

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 $

$2$	0.646517	+	1.98977i	0.457157	+	1.40698i	0.868585	+	0.495541i	$0.165030\pi$
$2$	0.646517	+	1.98977i	0.457157	+	1.40698i	−0.411428	+	0.911442i	$0.634970\pi$
$3$	1.02325	+	1.13643i	0.590773	+	0.656120i	0.962201	−	0.272342i	$-0.0877981\pi$
$3$	1.02325	+	1.13643i	0.590773	+	0.656120i	−0.371427	+	0.928462i	$0.621131\pi$
$4$	−1.92319	+	1.39728i	−0.961593	+	0.698638i
$5$	0.500000	+	0.866025i	0.223607	+	0.387298i
$5$	0.500000	+	0.866025i	0.223607	+	0.387298i
$6$	−1.59970	+	2.77076i	−0.653075	+	1.13116i
$7$	−0.316994	−	3.01600i	−0.119813	−	1.13994i	−0.874896	−	0.484311i	$-0.839070\pi$
$7$	−0.316994	−	3.01600i	−0.119813	−	1.13994i	0.755083	−	0.655629i	$-0.227596\pi$
$8$	−0.638431	−	0.463847i	−0.225720	−	0.163995i
$9$	0.0691433	−	0.657854i	0.0230478	−	0.219285i
$10$	−1.39994	+	1.55479i	−0.442699	+	0.491667i
$11$	−5.57748	−	2.48326i	−1.68167	−	0.748730i	−0.999852	−	0.0172126i	$-0.994521\pi$
$11$	−5.57748	−	2.48326i	−1.68167	−	0.748730i	−0.681823	−	0.731517i	$-0.738813\pi$
$12$	−3.55581	−	0.755811i	−1.02647	−	0.218184i
$13$	5.63533	−	1.19783i	1.56296	−	0.332217i	0.656438	−	0.754380i	$-0.272062\pi$
$13$	5.63533	−	1.19783i	1.56296	−	0.332217i	0.906520	+	0.422163i	$0.138729\pi$
$14$	5.79622	−	2.58064i	1.54910	−	0.689706i
$15$	−0.472556	+	1.45438i	−0.122013	+	0.375519i
$16$	−0.958988	+	2.95146i	−0.239747	+	0.737866i
$17$	−5.25138	+	2.33807i	−1.27365	+	0.567064i	−0.928447	−	0.371465i	$-0.878856\pi$
$17$	−5.25138	+	2.33807i	−1.27365	+	0.567064i	−0.345200	+	0.938529i	$0.612189\pi$
$18$	1.35368	−	0.287735i	0.319067	−	0.0678197i
$19$	1.99768	+	0.424620i	0.458299	+	0.0974145i	0.431276	−	0.902220i	$-0.358064\pi$
$19$	1.99768	+	0.424620i	0.458299	+	0.0974145i	0.0270238	+	0.999635i	$0.491397\pi$
$20$	−2.17167	−	0.966890i	−0.485600	−	0.216203i
$21$	3.10312	−	3.44636i	0.677156	−	0.752058i
$22$	1.33518	−	12.7034i	0.284662	−	2.70838i
$23$	−4.95413	−	3.59938i	−1.03301	−	0.750523i	−0.0640985	−	0.997944i	$-0.520417\pi$
$23$	−4.95413	−	3.59938i	−1.03301	−	0.750523i	−0.968908	+	0.247420i	$0.920417\pi$
$24$	−0.126143	−	1.20017i	−0.0257487	−	0.244983i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	6.02674	+	10.4386i	1.18194	+	2.04718i
$27$	4.52986	−	3.29114i	0.871772	−	0.633379i
$28$	4.82382	+	5.35740i	0.911617	+	1.01245i
$29$	1.77750	+	5.47059i	0.330074	+	1.01586i	0.969098	+	0.246676i	$0.0793383\pi$
$29$	1.77750	+	5.47059i	0.330074	+	1.01586i	−0.639024	+	0.769186i	$0.720662\pi$
$30$	−3.19940			−0.584128
$31$	2.16791	+	5.12837i	0.389368	+	0.921082i
$31$	2.16791	+	5.12837i	0.389368	+	0.921082i
$32$	−8.07104			−1.42677
$33$	−2.88510	−	8.87943i	−0.502232	−	1.54571i
$34$	−8.04733	−	8.93747i	−1.38011	−	1.53276i
$35$	2.45343	−	1.78252i	0.414706	−	0.301302i
$36$	0.786229	+	1.36179i	0.131038	+	0.226965i
$37$	−1.18290	+	2.04884i	−0.194468	+	0.336828i	−0.946726	−	0.322041i	$-0.895631\pi$
$37$	−1.18290	+	2.04884i	−0.194468	+	0.336828i	0.752258	+	0.658868i	$0.228965\pi$
$38$	0.446636	+	4.24946i	0.0724539	+	0.689353i
$39$	7.12760	+	5.17850i	1.14133	+	0.829224i
$40$	0.0824880	−	0.784821i	0.0130425	−	0.124091i
$41$	0.618888	−	0.687345i	0.0966541	−	0.107345i	−0.692877	−	0.721056i	$-0.743657\pi$
$41$	0.618888	−	0.687345i	0.0966541	−	0.107345i	0.789531	+	0.613711i	$0.210324\pi$
$42$	8.86371	+	3.94638i	1.36770	+	0.608939i
$43$	4.17130	+	0.886637i	0.636117	+	0.135211i	0.514672	−	0.857387i	$-0.327914\pi$
$43$	4.17130	+	0.886637i	0.636117	+	0.135211i	0.121445	+	0.992598i	$0.461247\pi$
$44$	14.1963	−	3.01752i	2.14018	−	0.454909i
$45$	0.604290	−	0.269047i	0.0900823	−	0.0401072i
$46$	3.95904	−	12.1847i	0.583728	−	1.79653i
$47$	0.482864	−	1.48610i	0.0704330	−	0.216770i	−0.909644	−	0.415389i	$-0.863645\pi$
$47$	0.482864	−	1.48610i	0.0704330	−	0.216770i	0.980077	+	0.198619i	$0.0636455\pi$
$48$	−4.33543	+	1.93026i	−0.625765	+	0.278608i
$49$	−2.14873	+	0.456727i	−0.306961	+	0.0652466i
$50$	−2.04645	−	0.434987i	−0.289412	−	0.0615165i
$51$	−8.03053	−	3.57542i	−1.12450	−	0.500659i
$52$	−9.16409	+	10.1778i	−1.27083	+	1.41140i
$53$	0.300872	−	2.86260i	0.0413279	−	0.393209i	−0.954231	−	0.299070i	$-0.903324\pi$
$53$	0.300872	−	2.86260i	0.0413279	−	0.393209i	0.995559	−	0.0941388i	$-0.0300098\pi$
$54$	9.47725	+	6.88563i	1.28969	+	0.937015i
$55$	−0.638179	−	6.07187i	−0.0860521	−	0.818731i
$56$	−1.19658	+	2.07254i	−0.159900	+	0.276955i
$57$	1.56157	+	2.70472i	0.206835	+	0.358249i
$58$	−9.73605	+	7.07365i	−1.27841	+	0.928816i
$59$	0.130293	+	0.144705i	0.0169627	+	0.0188390i	0.751566	−	0.659657i	$-0.229299\pi$
$59$	0.130293	+	0.144705i	0.0169627	+	0.0188390i	−0.734604	+	0.678496i	$0.762632\pi$
$60$	−1.12335	−	3.45733i	−0.145024	−	0.446339i
$61$	−9.68296			−1.23978			−0.619888	−	0.784690i	$-0.712822\pi$
$61$	−9.68296			−1.23978			−0.619888	+	0.784690i	$0.712822\pi$
$62$	−8.80271	+	7.62923i	−1.11795	+	0.968913i
$63$	−2.00601			−0.252733
$64$	−3.30009	−	10.1566i	−0.412511	−	1.26958i
$65$	3.85501	+	4.28142i	0.478155	+	0.531045i
$66$	15.8028	−	11.4814i	1.94519	−	1.41326i
$67$	−3.22324	−	5.58282i	−0.393782	−	0.682050i	0.599163	−	0.800627i	$-0.295500\pi$
$67$	−3.22324	−	5.58282i	−0.393782	−	0.682050i	−0.992945	+	0.118577i	$0.962167\pi$
$68$	6.83246	−	11.8342i	0.828558	−	1.43510i
$69$	−0.978847	−	9.31310i	−0.117839	−	1.12117i
$70$	5.13301	+	3.72935i	0.613512	+	0.445743i
$71$	−0.100240	+	0.953724i	−0.0118964	+	0.113186i	−0.998859	−	0.0477660i	$-0.984790\pi$
$71$	−0.100240	+	0.953724i	−0.0118964	+	0.113186i	0.986962	+	0.160952i	$0.0514565\pi$
$72$	−0.349287	+	0.387923i	−0.0411639	+	0.0457171i
$73$	−0.985838	−	0.438923i	−0.115384	−	0.0513721i	0.348233	−	0.937408i	$-0.386782\pi$
$73$	−0.985838	−	0.438923i	−0.115384	−	0.0513721i	−0.463617	+	0.886036i	$0.653448\pi$
$74$	−4.84150	−	1.02909i	−0.562813	−	0.119630i
$75$	−1.49581	+	0.317943i	−0.172721	+	0.0367129i
$76$	−4.43522	+	1.97469i	−0.508755	+	0.226512i
$77$	−5.72147	+	17.6089i	−0.652022	+	2.00672i
$78$	−5.69594	+	17.5303i	−0.644938	+	1.98492i
$79$	−8.81227	+	3.92348i	−0.991458	+	0.441426i	−0.837373	−	0.546632i	$-0.815910\pi$
$79$	−8.81227	+	3.92348i	−0.991458	+	0.441426i	−0.154085	+	0.988058i	$0.549243\pi$
$80$	−3.03554	+	0.645223i	−0.339383	+	0.0721381i
$81$	6.43427	+	1.36765i	0.714919	+	0.151961i
$82$	1.76778	+	0.787068i	0.195219	+	0.0869171i
$83$	5.35103	−	5.94292i	0.587352	−	0.652320i	−0.374070	−	0.927401i	$-0.622038\pi$
$83$	5.35103	−	5.94292i	0.587352	−	0.652320i	0.961421	+	0.275081i	$0.0887045\pi$
$84$	−1.15235	+	10.9639i	−0.125732	+	1.19626i
$85$	−4.65052	−	3.37880i	−0.504419	−	0.366482i
$86$	0.932608	+	8.87317i	0.100566	+	0.956819i
$87$	−4.39813	+	7.61779i	−0.471529	+	0.816713i
$88$	2.40899	+	4.17249i	0.256799	+	0.444789i
$89$	−8.64669	+	6.28219i	−0.916548	+	0.665911i	−0.942662	−	0.333748i	$-0.891686\pi$
$89$	−8.64669	+	6.28219i	−0.916548	+	0.665911i	0.0261147	+	0.999659i	$0.491686\pi$
$90$	0.926028	+	1.02846i	0.0976119	+	0.108409i
$91$	−5.39901	−	16.6164i	−0.565970	−	1.74188i
$92$	14.5570			1.51768
$93$	−3.60974	+	7.71129i	−0.374312	+	0.799623i
$94$	3.26919			0.337191
$95$	0.631108	+	1.94235i	0.0647504	+	0.199281i
$96$	−8.25869	−	9.17220i	−0.842899	−	0.936134i
$97$	−1.95842	+	1.42288i	−0.198848	+	0.144471i	−0.682754	−	0.730649i	$-0.739218\pi$
$97$	−1.95842	+	1.42288i	−0.198848	+	0.144471i	0.483906	+	0.875120i	$0.339218\pi$
$98$	−2.29797	−	3.98021i	−0.232130	−	0.402062i
$99$	−2.01927	+	3.49747i	−0.202944	+	0.351509i
$100$	−0.248484	−	2.36417i	−0.0248484	−	0.236417i
$101$	0.949838	+	0.690097i	0.0945124	+	0.0686673i	0.634038	−	0.773302i	$-0.281396\pi$
$101$	0.949838	+	0.690097i	0.0945124	+	0.0686673i	−0.539525	+	0.841969i	$0.681396\pi$
$102$	1.92241	−	18.2905i	0.190347	−	1.81103i
$103$	8.05374	−	8.94458i	0.793558	−	0.881336i	−0.201615	−	0.979465i	$-0.564619\pi$
$103$	8.05374	−	8.94458i	0.793558	−	0.881336i	0.995174	+	0.0981289i	$0.0312857\pi$
$104$	−4.15338	−	1.84920i	−0.407272	−	0.181329i
$105$	4.53620	+	0.964198i	0.442688	+	0.0940961i
$106$	5.89046	−	1.25206i	0.572132	−	0.121610i
$107$	−3.33708	+	1.48576i	−0.322607	+	0.143634i	−0.561650	−	0.827375i	$-0.689833\pi$
$107$	−3.33708	+	1.48576i	−0.322607	+	0.143634i	0.239042	+	0.971009i	$0.423167\pi$
$108$	−4.11314	+	12.6589i	−0.395787	+	1.21811i
$109$	−0.901993	+	2.77605i	−0.0863952	+	0.265897i	−0.984916	−	0.173034i	$-0.944643\pi$
$109$	−0.901993	+	2.77605i	−0.0863952	+	0.265897i	0.898521	+	0.438931i	$0.144643\pi$
$110$	11.6691	−	5.19540i	1.11260	−	0.495362i
$111$	−3.53878	+	0.752190i	−0.335886	+	0.0713947i
$112$	9.20560	+	1.95671i	0.869847	+	0.184892i
$113$	15.7857	+	7.02825i	1.48499	+	0.661162i	0.979459	−	0.201643i	$-0.0646282\pi$
$113$	15.7857	+	7.02825i	1.48499	+	0.661162i	0.505536	+	0.862806i	$0.331295\pi$
$114$	−4.37221	+	4.85583i	−0.409495	+	0.454790i
$115$	0.640094	−	6.09009i	0.0596891	−	0.567904i
$116$	−11.0624	−	8.03729i	−1.02712	−	0.746244i
$117$	−0.398350	−	3.79005i	−0.0368275	−	0.350390i
$118$	−0.203694	+	0.352808i	−0.0187516	+	0.0324786i
$119$	8.71626	+	15.0970i	0.799018	+	1.38394i
$120$	0.976303	−	0.709326i	0.0891239	−	0.0647523i
$121$	17.5813	+	19.5260i	1.59830	+	1.77510i
$122$	−6.26020	−	19.2669i	−0.566772	−	1.74434i
$123$	1.41440			0.127532
$124$	−11.3350	−	6.83364i	−1.01792	−	0.613679i
$125$	−1.00000			−0.0894427
$126$	−1.29692	−	3.99150i	−0.115539	−	0.355591i
$127$	−6.64696	−	7.38220i	−0.589822	−	0.655064i	0.372162	−	0.928168i	$-0.378616\pi$
$127$	−6.64696	−	7.38220i	−0.589822	−	0.655064i	−0.961985	+	0.273104i	$0.911950\pi$
$128$	5.01662	−	3.64479i	0.443411	−	0.322157i
$129$	3.26068	+	5.64766i	0.287087	+	0.497248i
$130$	−6.02674	+	10.4386i	−0.528580	+	0.915527i
$131$	−0.622368	−	5.92143i	−0.0543765	−	0.517358i	−0.987479	−	0.157748i	$-0.949577\pi$
$131$	−0.622368	−	5.92143i	−0.0543765	−	0.517358i	0.933103	−	0.359610i	$-0.117090\pi$
$132$	17.9556	+	13.0455i	1.56284	+	1.13547i
$133$	0.647400	−	6.15960i	0.0561367	−	0.534105i
$134$	9.02468	−	10.0229i	0.779613	−	0.865848i
$135$	5.11514	+	2.27741i	0.440241	+	0.196008i
$136$	4.43715	+	0.943146i	0.380483	+	0.0808741i
$137$	21.8539	−	4.64520i	1.86711	−	0.396866i	0.871493	−	0.490408i	$-0.163152\pi$
$137$	21.8539	−	4.64520i	1.86711	−	0.396866i	0.995615	+	0.0935423i	$0.0298190\pi$
$138$	17.8981	−	7.96877i	1.52359	−	0.678346i
$139$	−2.09191	+	6.43825i	−0.177434	+	0.546085i	−0.999736	−	0.0229656i	$-0.992689\pi$
$139$	−2.09191	+	6.43825i	−0.177434	+	0.546085i	0.822302	+	0.569051i	$0.192689\pi$
$140$	−2.22773	+	6.85625i	−0.188278	+	0.579459i
$141$	2.18295	−	0.971911i	0.183837	−	0.0818497i
$142$	−1.96250	+	0.417143i	−0.164690	+	0.0350059i
$143$	−34.4055	−	7.31311i	−2.87713	−	0.611553i
$144$	1.87532	+	0.834948i	0.156277	+	0.0695790i
$145$	−3.84892	+	4.27465i	−0.319635	+	0.354991i
$146$	0.235998	−	2.24537i	0.0195313	−	0.185828i
$147$	−2.71773	−	1.97454i	−0.224154	−	0.162858i
$148$	−0.587863	−	5.59314i	−0.0483221	−	0.459754i
$149$	10.7029	−	18.5379i	0.876812	−	1.51868i	0.0219926	−	0.999758i	$-0.492999\pi$
$149$	10.7029	−	18.5379i	0.876812	−	1.51868i	0.854820	−	0.518925i	$-0.173668\pi$
$150$	−1.59970	−	2.77076i	−0.130615	−	0.226232i
$151$	2.75097	−	1.99870i	0.223871	−	0.162652i	−0.470196	−	0.882562i	$-0.655817\pi$
$151$	2.75097	−	1.99870i	0.223871	−	0.162652i	0.694067	+	0.719910i	$0.255817\pi$
$152$	−1.07842	−	1.19771i	−0.0874716	−	0.0971471i
$153$	1.17501	+	3.61631i	0.0949939	+	0.292361i
$154$	−38.7367			−3.12149
$155$	−3.35734	+	4.44165i	−0.269668	+	0.356762i
$156$	−20.9435			−1.67682
$157$	2.90996	+	8.95594i	0.232240	+	0.714762i	0.997476	+	0.0710113i	$0.0226226\pi$
$157$	2.90996	+	8.95594i	0.232240	+	0.714762i	−0.765235	+	0.643751i	$0.777377\pi$
$158$	−13.5041	−	14.9978i	−1.07433	−	1.19316i
$159$	3.56103	−	2.58724i	0.282408	−	0.205181i
$160$	−4.03552	−	6.98972i	−0.319036	−	0.552586i
$161$	−9.28531	+	16.0826i	−0.731785	+	1.26749i
$162$	1.43856	+	13.6870i	0.113024	+	1.07535i
$163$	9.25245	+	6.72230i	0.724708	+	0.526531i	0.887885	−	0.460066i	$-0.152174\pi$
$163$	9.25245	+	6.72230i	0.724708	+	0.526531i	−0.163177	+	0.986597i	$0.552174\pi$
$164$	−0.229826	+	2.18665i	−0.0179464	+	0.170749i
$165$	6.24726	−	6.93829i	0.486349	−	0.540145i
$166$	15.2846	+	6.80514i	1.18632	+	0.528182i
$167$	−7.54945	−	1.60468i	−0.584194	−	0.124174i	−0.0936719	−	0.995603i	$-0.529860\pi$
$167$	−7.54945	−	1.60468i	−0.584194	−	0.124174i	−0.490522	+	0.871429i	$0.663194\pi$
$168$	−3.57971	+	0.760892i	−0.276181	+	0.0587041i
$169$	18.4460	−	8.21270i	1.41893	−	0.631747i
$170$	3.71641	−	11.4379i	0.285036	−	0.877249i
$171$	0.417464	−	1.28482i	0.0319243	−	0.0982529i
$172$	−9.26106	+	4.12329i	−0.706149	+	0.314398i
$173$	4.55039	−	0.967215i	0.345960	−	0.0735360i	−0.0316548	−	0.999499i	$-0.510078\pi$
$173$	4.55039	−	0.967215i	0.345960	−	0.0735360i	0.377615	+	0.925963i	$0.376744\pi$
$174$	−18.0012	−	3.82626i	−1.36466	−	0.290068i
$175$	2.77043	+	1.23347i	0.209425	+	0.0932419i
$176$	12.6780	−	14.0803i	0.955639	−	1.06134i
$177$	−0.0311255	+	0.296139i	−0.00233953	+	0.0222592i
$178$	−18.0904	−	13.1434i	−1.35593	−	0.985142i
$179$	0.594181	+	5.65325i	0.0444111	+	0.422544i	0.994028	+	0.109129i	$0.0348063\pi$
$179$	0.594181	+	5.65325i	0.0444111	+	0.422544i	−0.949616	+	0.313415i	$0.898527\pi$
$180$	−0.786229	+	1.36179i	−0.0586021	+	0.101502i
$181$	0.568358	+	0.984425i	0.0422457	+	0.0731718i	0.886375	−	0.462968i	$-0.153215\pi$
$181$	0.568358	+	0.984425i	0.0422457	+	0.0731718i	−0.844129	+	0.536140i	$0.819882\pi$
$182$	29.5724	−	21.4856i	2.19205	−	1.59262i
$183$	−9.90809	−	11.0040i	−0.732427	−	0.813442i
$184$	1.49330	+	4.59592i	0.110088	+	0.338816i
$185$	−2.36580			−0.173937
$186$	−17.6775	−	2.19709i	−1.29618	−	0.161098i
$187$	35.0955			2.56644
$188$	1.14786	+	3.53275i	0.0837162	+	0.257652i
$189$	−11.3620	−	12.6188i	−0.826464	−	0.917881i
$190$	−3.45682	+	2.51153i	−0.250784	+	0.182205i
$191$	9.70293	+	16.8060i	0.702079	+	1.21604i	0.967735	+	0.251969i	$0.0810782\pi$
$191$	9.70293	+	16.8060i	0.702079	+	1.21604i	−0.265656	+	0.964068i	$0.585589\pi$
$192$	8.16552	−	14.1431i	0.589295	−	1.02069i
$193$	1.68977	+	16.0771i	0.121632	+	1.15725i	0.869683	+	0.493611i	$0.164323\pi$
$193$	1.68977	+	16.0771i	0.121632	+	1.15725i	−0.748051	+	0.663641i	$0.769010\pi$
$194$	−4.09736	−	2.97691i	−0.294173	−	0.213729i
$195$	−0.920916	+	8.76193i	−0.0659482	+	0.627455i
$196$	3.49423	−	3.88074i	0.249588	−	0.277196i
$197$	−7.06835	−	3.14703i	−0.503599	−	0.224217i	0.139182	−	0.990267i	$-0.455553\pi$
$197$	−7.06835	−	3.14703i	−0.503599	−	0.224217i	−0.642781	+	0.766050i	$0.722219\pi$
$198$	−8.26467	−	1.75671i	−0.587345	−	0.124844i
$199$	−25.9544	+	5.51677i	−1.83986	+	0.391074i	−0.990587	−	0.136884i	$-0.956291\pi$
$199$	−25.9544	+	5.51677i	−1.83986	+	0.391074i	−0.849271	+	0.527958i	$0.822958\pi$
$200$	0.720919	−	0.320974i	0.0509767	−	0.0226963i
$201$	3.04633	−	9.37562i	0.214871	−	0.661306i
$202$	−0.759052	+	2.33612i	−0.0534067	+	0.164369i
$203$	15.9358	−	7.09509i	1.11848	−	0.497977i
$204$	20.4401	−	4.34467i	1.43109	−	0.304188i
$205$	0.904702	+	0.192300i	0.0631872	+	0.0134308i
$206$	23.0046	+	10.2423i	1.60281	+	0.713615i
$207$	−2.71041	+	3.01022i	−0.188387	+	0.209225i
$208$	−1.86887	+	17.7812i	−0.129583	+	1.23290i
$209$	−10.0876	−	7.32906i	−0.697773	−	0.506962i
$210$	1.01419	+	9.64938i	0.0699858	+	0.665871i
$211$	−8.12604	+	14.0747i	−0.559419	+	0.968943i	0.438125	+	0.898914i	$0.355643\pi$
$211$	−8.12604	+	14.0747i	−0.559419	+	0.968943i	−0.997545	+	0.0700292i	$0.977691\pi$
$212$	3.42122	+	5.92572i	0.234970	+	0.406980i
$213$	−1.18642	+	0.861981i	−0.0812918	+	0.0590620i
$214$	−5.11381	−	5.67946i	−0.349573	−	0.388240i
$215$	1.31780	+	4.05577i	0.0898732	+	0.276601i
$216$	−4.41859			−0.300647
$217$	14.7799	−	8.16408i	1.00333	−	0.554214i
$218$	−6.10686			−0.413609
$219$	−0.509951	−	1.56947i	−0.0344593	−	0.106055i
$220$	9.71142	+	10.7856i	0.654744	+	0.727167i
$221$	−26.7927	+	19.4660i	−1.80227	+	1.30943i
$222$	−3.78457	−	6.55507i	−0.254004	−	0.439947i
$223$	2.42908	−	4.20728i	0.162663	−	0.281741i	−0.773160	−	0.634211i	$-0.781325\pi$
$223$	2.42908	−	4.20728i	0.162663	−	0.281741i	0.935823	+	0.352471i	$0.114658\pi$
$224$	2.55847	+	24.3422i	0.170945	+	1.62643i
$225$	0.535147	+	0.388807i	0.0356765	+	0.0259205i
$226$	−3.77891	+	35.9539i	−0.251369	+	2.39162i
$227$	3.26879	−	3.63036i	0.216957	−	0.240955i	−0.624835	−	0.780756i	$-0.714834\pi$
$227$	3.26879	−	3.63036i	0.216957	−	0.240955i	0.841793	+	0.539801i	$0.181501\pi$
$228$	−6.78244	−	3.01974i	−0.449178	−	0.199987i
$229$	−3.34903	−	0.711858i	−0.221310	−	0.0470409i	0.0959219	−	0.995389i	$-0.469420\pi$
$229$	−3.34903	−	0.711858i	−0.221310	−	0.0470409i	−0.317232	+	0.948348i	$0.602753\pi$
$230$	12.5317	−	2.66370i	0.826319	−	0.175639i
$231$	−25.8658	+	11.5162i	−1.70184	+	0.757710i
$232$	1.40270	−	4.31708i	0.0920921	−	0.283430i
$233$	4.60780	−	14.1813i	0.301867	−	0.929050i	−0.678961	−	0.734174i	$-0.737569\pi$
$233$	4.60780	−	14.1813i	0.301867	−	0.929050i	0.980828	−	0.194876i	$-0.0624305\pi$
$234$	7.28380	−	3.24296i	0.476157	−	0.211999i
$235$	1.52844	−	0.324879i	0.0997041	−	0.0211928i
$236$	−0.452771	−	0.0962395i	−0.0294729	−	0.00626466i
$237$	−13.4759	−	5.99987i	−0.875356	−	0.389733i
$238$	−24.4044	+	27.1039i	−1.58190	+	1.75688i
$239$	0.784172	−	7.46090i	0.0507239	−	0.482605i	−0.939442	−	0.342708i	$-0.888656\pi$
$239$	0.784172	−	7.46090i	0.0507239	−	0.482605i	0.990166	−	0.139898i	$-0.0446773\pi$
$240$	−3.83936	−	2.78946i	−0.247830	−	0.180059i
$241$	0.637348	+	6.06396i	0.0410552	+	0.390614i	0.995683	+	0.0928139i	$0.0295862\pi$
$241$	0.637348	+	6.06396i	0.0410552	+	0.390614i	−0.954628	+	0.297800i	$0.903747\pi$
$242$	−27.4858	+	47.6068i	−1.76685	+	3.06028i
$243$	−3.36920	−	5.83563i	−0.216134	−	0.374356i
$244$	18.6221	−	13.5298i	1.19216	−	0.866155i
$245$	−1.46990	−	1.63249i	−0.0939086	−	0.104296i
$246$	0.914433	+	2.81434i	0.0583021	+	0.179436i
$247$	11.7662			0.748666
$248$	0.994719	−	4.27969i	0.0631647	−	0.271761i
$249$	12.2292			0.774992
$250$	−0.646517	−	1.98977i	−0.0408893	−	0.125844i
$251$	3.54377	+	3.93575i	0.223681	+	0.248422i	0.844531	−	0.535507i	$-0.179879\pi$
$251$	3.54377	+	3.93575i	0.223681	+	0.248422i	−0.620851	+	0.783929i	$0.713213\pi$
$252$	3.85792	−	2.80295i	0.243026	−	0.176569i
$253$	18.6934	+	32.3779i	1.17524	+	2.03558i
$254$	10.3915	−	17.9987i	0.652023	−	1.12934i
$255$	−0.918859	−	8.74236i	−0.0575412	−	0.547468i
$256$	−6.78384	−	4.92875i	−0.423990	−	0.308047i
$257$	0.766808	−	7.29569i	0.0478321	−	0.455092i	−0.944225	−	0.329302i	$-0.893187\pi$
$257$	0.766808	−	7.29569i	0.0478321	−	0.455092i	0.992057	−	0.125791i	$-0.0401467\pi$
$258$	−9.12948	+	10.1393i	−0.568377	+	0.631246i
$259$	6.55428	+	2.91815i	0.407263	+	0.181325i
$260$	−13.3962	−	2.84746i	−0.830799	−	0.176592i
$261$	3.72175	−	0.791083i	0.230371	−	0.0489668i
$262$	11.3799	−	5.06668i	0.703056	−	0.313021i
$263$	−5.46518	+	16.8201i	−0.336998	+	1.03717i	0.628732	+	0.777622i	$0.283574\pi$
$263$	−5.46518	+	16.8201i	−0.336998	+	1.03717i	−0.965730	+	0.259550i	$0.916426\pi$
$264$	−2.27676	+	7.00715i	−0.140125	+	0.431261i
$265$	2.62952	−	1.17074i	0.161530	−	0.0719179i
$266$	12.6748	−	2.69411i	0.777141	−	0.165186i
$267$	−15.9870	−	3.39815i	−0.978390	−	0.207963i
$268$	13.9996	+	6.23304i	0.855164	+	0.380744i
$269$	−9.87200	+	10.9640i	−0.601906	+	0.668485i	−0.964690	−	0.263389i	$-0.915160\pi$
$269$	−9.87200	+	10.9640i	−0.601906	+	0.668485i	0.362783	+	0.931873i	$0.381826\pi$
$270$	−1.22450	+	11.6504i	−0.0745208	+	0.709018i
$271$	−9.47183	−	6.88169i	−0.575373	−	0.418033i	0.261680	−	0.965155i	$-0.415723\pi$
$271$	−9.47183	−	6.88169i	−0.575373	−	0.418033i	−0.837053	+	0.547122i	$0.815723\pi$
$272$	−1.86470	−	17.7414i	−0.113064	−	1.07573i
$273$	13.3589	−	23.1384i	0.808520	−	1.40040i
$274$	23.3718	+	40.4812i	1.41194	+	2.44556i
$275$	4.93930	−	3.58862i	0.297851	−	0.216402i
$276$	14.8955	+	16.5431i	0.896603	+	0.995778i
$277$	−3.15910	−	9.72271i	−0.189812	−	0.584181i	0.810186	−	0.586173i	$-0.199366\pi$
$277$	−3.15910	−	9.72271i	−0.189812	−	0.584181i	−0.999998	+	0.00199166i	$0.999366\pi$
$278$	−14.1631			−0.849448
$279$	3.52362	−	1.07158i	0.210953	−	0.0641536i
$280$	−2.39317			−0.143019
$281$	−1.32233	−	4.06971i	−0.0788835	−	0.242779i	0.903836	−	0.427879i	$-0.140739\pi$
$281$	−1.32233	−	4.06971i	−0.0788835	−	0.242779i	−0.982720	+	0.185100i	$0.940739\pi$
$282$	3.34520	+	3.71522i	0.199204	+	0.221238i
$283$	16.6406	−	12.0901i	0.989180	−	0.718682i	0.0294389	−	0.999567i	$-0.490628\pi$
$283$	16.6406	−	12.0901i	0.989180	−	0.718682i	0.959741	+	0.280885i	$0.0906280\pi$
$284$	−1.13984	−	1.97425i	−0.0676368	−	0.117150i
$285$	−1.56157	+	2.70472i	−0.0924996	+	0.160214i
$286$	−7.69228	−	73.1872i	−0.454854	−	4.32765i
$287$	−2.26922	−	1.64868i	−0.133948	−	0.0973186i
$288$	−0.558058	+	5.30957i	−0.0328839	+	0.312869i
$289$	10.7352	−	11.9227i	0.631485	−	0.701335i
$290$	−10.9940	−	4.89484i	−0.645589	−	0.287435i
$291$	−3.62096	−	0.769659i	−0.212264	−	0.0451182i
$292$	2.50925	−	0.533357i	0.146843	−	0.0312123i
$293$	−5.98353	+	2.66404i	−0.349562	+	0.155635i	−0.574004	−	0.818853i	$-0.694611\pi$
$293$	−5.98353	+	2.66404i	−0.349562	+	0.155635i	0.224442	+	0.974487i	$0.427944\pi$
$294$	2.17184	−	6.68424i	0.126664	−	0.389833i
$295$	−0.0601718	+	0.185190i	−0.00350334	+	0.0107822i
$296$	1.70555	−	0.759360i	0.0991331	−	0.0441369i
$297$	−33.4380	+	7.10746i	−1.94027	+	0.412416i
$298$	43.8058	+	9.31121i	2.53760	+	0.539384i
$299$	−32.2296	−	14.3495i	−1.86388	−	0.829854i
$300$	2.43246	−	2.70152i	0.140438	−	0.155972i
$301$	1.35182	−	12.8617i	0.0779175	−	0.741336i
$302$	5.75551	+	4.18162i	0.331192	+	0.240625i
$303$	0.187671	+	1.78557i	0.0107814	+	0.102578i
$304$	−3.16900	+	5.48887i	−0.181755	+	0.314808i
$305$	−4.84148	−	8.38569i	−0.277222	−	0.480163i
$306$	−6.43597	+	4.67601i	−0.367920	+	0.267310i
$307$	−21.0413	−	23.3687i	−1.20089	−	1.33372i	−0.928407	−	0.371564i	$-0.878822\pi$
$307$	−21.0413	−	23.3687i	−1.20089	−	1.33372i	−0.272483	−	0.962161i	$-0.587845\pi$
$308$	−13.6010	−	41.8596i	−0.774989	−	2.38517i
$309$	18.4059			1.04708
$310$	−11.0085	−	3.80875i	−0.625239	−	0.216323i
$311$	1.01917			0.0577920			0.0288960	−	0.999582i	$-0.490801\pi$
$311$	1.01917			0.0577920			0.0288960	+	0.999582i	$0.490801\pi$
$312$	−2.14845	−	6.61223i	−0.121632	−	0.374344i
$313$	−1.18545	−	1.31658i	−0.0670057	−	0.0744173i	0.708710	−	0.705500i	$-0.249278\pi$
$313$	−1.18545	−	1.31658i	−0.0670057	−	0.0744173i	−0.775716	+	0.631083i	$0.782611\pi$
$314$	−15.9390	+	11.5803i	−0.899488	+	0.653516i
$315$	−1.00300	−	1.73725i	−0.0565128	−	0.0978831i
$316$	11.4655	−	19.8588i	0.644982	−	1.11714i
$317$	2.12894	+	20.2556i	0.119573	+	1.13767i	0.875570	+	0.483090i	$0.160486\pi$
$317$	2.12894	+	20.2556i	0.119573	+	1.13767i	−0.755997	+	0.654575i	$0.772848\pi$
$318$	7.45029	+	5.41295i	0.417791	+	0.303543i
$319$	3.67088	−	34.9261i	0.205530	−	1.95549i
$320$	7.14585	−	7.93627i	0.399465	−	0.443651i
$321$	−5.10313	−	2.27206i	−0.284829	−	0.126814i
$322$	−38.0039	−	8.07798i	−2.11787	−	0.450168i
$323$	−11.4834	+	2.44087i	−0.638952	+	0.135813i
$324$	−14.2853	+	6.36021i	−0.793626	+	0.353345i
$325$	−1.78032	+	5.47925i	−0.0987542	+	0.303934i
$326$	−7.39399	+	22.7564i	−0.409515	+	1.26036i
$327$	−4.07776	+	1.81553i	−0.225501	+	0.100399i
$328$	−0.713941	+	0.151753i	−0.0394208	+	0.00837915i
$329$	−4.63515	−	0.985232i	−0.255544	−	0.0543176i
$330$	17.8446	+	7.94493i	0.982313	+	0.437354i
$331$	12.0257	−	13.3559i	0.660991	−	0.734104i	−0.315676	−	0.948867i	$-0.602231\pi$
$331$	12.0257	−	13.3559i	0.660991	−	0.734104i	0.976666	+	0.214763i	$0.0688978\pi$
$332$	−1.98712	+	18.9062i	−0.109057	+	1.03761i
$333$	1.26605	+	0.919840i	0.0693792	+	0.0504069i
$334$	−1.68789	−	16.0592i	−0.0923570	−	0.878718i
$335$	3.22324	−	5.58282i	0.176105	−	0.305022i
$336$	7.19595	+	12.4638i	0.392572	+	0.679954i
$337$	−7.33578	+	5.32976i	−0.399606	+	0.290330i	−0.769380	−	0.638791i	$-0.779435\pi$
$337$	−7.33578	+	5.32976i	−0.399606	+	0.290330i	0.369775	+	0.929121i	$0.379435\pi$
$338$	28.2671	+	31.3938i	1.53753	+	1.70760i
$339$	8.16558	+	25.1311i	0.443494	+	1.36493i
$340$	13.6649			0.741084
$341$	0.643568	−	33.9869i	0.0348511	−	1.84049i
$342$	2.82641			0.152835
$343$	−4.50128	−	13.8535i	−0.243046	−	0.748019i
$344$	−2.25182	−	2.50090i	−0.121410	−	0.134840i
$345$	7.57596	−	5.50426i	0.407876	−	0.296339i
$346$	4.86645	+	8.42893i	0.261622	+	0.453142i
$347$	4.80067	−	8.31501i	0.257714	−	0.446373i	−0.707915	−	0.706297i	$-0.750364\pi$
$347$	4.80067	−	8.31501i	0.257714	−	0.446373i	0.965629	+	0.259924i	$0.0836976\pi$
$348$	−2.18573	−	20.7958i	−0.117167	−	1.11477i
$349$	−7.35418	−	5.34313i	−0.393660	−	0.286011i	0.373293	−	0.927713i	$-0.378228\pi$
$349$	−7.35418	−	5.34313i	−0.393660	−	0.286011i	−0.766954	+	0.641702i	$0.778228\pi$
$350$	−0.663207	+	6.30999i	−0.0354499	+	0.337283i
$351$	21.5850	−	23.9726i	1.15212	−	1.27956i
$352$	45.0161	+	20.0424i	2.39937	+	1.06827i
$353$	1.18790	+	0.252497i	0.0632257	+	0.0134390i	0.239416	−	0.970917i	$-0.423044\pi$
$353$	1.18790	+	0.252497i	0.0632257	+	0.0134390i	−0.176190	+	0.984356i	$0.556377\pi$
$354$	−0.609373	+	0.129526i	−0.0323878	+	0.00688424i
$355$	−0.876069	+	0.390051i	−0.0464969	+	0.0207018i
$356$	7.85124	−	24.1636i	0.416115	−	1.28067i
$357$	−8.23784	+	25.3535i	−0.435993	+	1.34185i
$358$	−10.8645	+	4.83721i	−0.574209	+	0.255654i
$359$	−1.53751	+	0.326807i	−0.0811465	+	0.0172482i	−0.248306	−	0.968682i	$-0.579874\pi$
$359$	−1.53751	+	0.326807i	−0.0811465	+	0.0172482i	0.167160	+	0.985930i	$0.446541\pi$
$360$	−0.510595	−	0.108530i	−0.0269107	−	0.00572005i
$361$	−13.5469	−	6.03149i	−0.712997	−	0.317447i
$362$	−1.59133	+	1.76735i	−0.0836385	+	0.0928900i
$363$	−4.19997	+	39.9600i	−0.220441	+	2.09736i
$364$	33.6011	+	24.4126i	1.76117	+	1.27957i
$365$	−0.112800	−	1.07322i	−0.00590423	−	0.0561750i
$366$	15.4898	−	26.8292i	0.809666	−	1.40238i
$367$	−1.15727	−	2.00445i	−0.0604091	−	0.104632i	0.834239	−	0.551403i	$-0.185907\pi$
$367$	−1.15727	−	2.00445i	−0.0604091	−	0.104632i	−0.894648	+	0.446771i	$0.852574\pi$
$368$	15.3744	−	11.1701i	0.801446	−	0.582284i
$369$	−0.409381	−	0.454664i	−0.0213115	−	0.0236688i
$370$	−1.52953	−	4.70741i	−0.0795165	−	0.244727i
$371$	−8.72898			−0.453186
$372$	−3.83260	−	19.8740i	−0.198711	−	1.03042i
$373$	−30.7941			−1.59446			−0.797230	−	0.603676i	$-0.793702\pi$
$373$	−30.7941			−1.59446			−0.797230	+	0.603676i	$0.793702\pi$
$374$	22.6899	+	69.8322i	1.17326	+	3.61094i
$375$	−1.02325	−	1.13643i	−0.0528404	−	0.0586852i
$376$	−0.997601	+	0.724799i	−0.0514473	+	0.0373787i
$377$	16.5696	+	28.6994i	0.853378	+	1.47809i
$378$	17.7628	−	30.7661i	0.913620	−	1.58244i
$379$	0.209001	+	1.98851i	0.0107357	+	0.102143i	0.998578	−	0.0533190i	$-0.0169800\pi$
$379$	0.209001	+	1.98851i	0.0107357	+	0.102143i	−0.987842	+	0.155462i	$0.950313\pi$
$380$	−3.92774	−	2.85367i	−0.201489	−	0.146390i
$381$	1.58788	−	15.1077i	0.0813495	−	0.773989i
$382$	−27.1670	+	30.1720i	−1.38998	+	1.54373i
$383$	13.8994	+	6.18843i	0.710228	+	0.316214i	0.729863	−	0.683593i	$-0.239584\pi$
$383$	13.8994	+	6.18843i	0.710228	+	0.316214i	−0.0196351	+	0.999807i	$0.506250\pi$
$384$	9.27531	+	1.97153i	0.473329	+	0.100609i
$385$	−18.1105	+	3.84950i	−0.922994	+	0.196188i
$386$	−30.8973	+	13.7563i	−1.57263	+	0.700180i
$387$	0.871695	−	2.68280i	0.0443108	−	0.136375i
$388$	1.77826	−	5.47291i	0.0902774	−	0.277845i
$389$	−20.1871	+	8.98788i	−1.02353	+	0.455704i	−0.848688	−	0.528893i	$-0.822607\pi$
$389$	−20.1871	+	8.98788i	−1.02353	+	0.455704i	−0.174839	+	0.984597i	$0.555941\pi$
$390$	−18.0297	+	3.83232i	−0.912967	+	0.194057i
$391$	34.4316	+	7.31866i	1.74128	+	0.370121i
$392$	1.58367	+	0.705094i	0.0799873	+	0.0356126i
$393$	6.09248	−	6.76639i	0.307325	−	0.341319i
$394$	1.69208	−	16.0990i	0.0852456	−	0.811058i
$395$	−7.80397	−	5.66991i	−0.392660	−	0.285284i
$396$	−1.00351	−	9.54776i	−0.0504283	−	0.479793i
$397$	2.95954	−	5.12607i	0.148535	−	0.257270i	−0.782151	−	0.623089i	$-0.785878\pi$
$397$	2.95954	−	5.12607i	0.148535	−	0.257270i	0.930686	+	0.365818i	$0.119211\pi$
$398$	−27.7571	−	48.0767i	−1.39134	−	2.40987i
$399$	7.66244	−	5.56708i	0.383602	−	0.278703i
$400$	−2.07655	−	2.30624i	−0.103827	−	0.115312i
$401$	6.80958	+	20.9577i	0.340054	+	1.04658i	0.964178	+	0.265254i	$0.0854560\pi$
$401$	6.80958	+	20.9577i	0.340054	+	1.04658i	−0.624124	+	0.781325i	$0.714544\pi$
$402$	20.6249			1.02868
$403$	18.3598	+	26.3033i	0.914566	+	1.31026i
$404$	−2.79097			−0.138856
$405$	2.03272	+	6.25606i	0.101007	+	0.310866i
$406$	24.4204	+	27.1216i	1.21196	+	1.34602i
$407$	11.6854	−	8.48995i	0.579224	−	0.420831i
$408$	3.46849	+	6.00760i	0.171716	+	0.297421i
$409$	15.7750	−	27.3232i	0.780026	−	1.35104i	−0.151900	−	0.988396i	$-0.548539\pi$
$409$	15.7750	−	27.3232i	0.780026	−	1.35104i	0.931926	−	0.362648i	$-0.118127\pi$
$410$	0.202271	+	1.92448i	0.00998945	+	0.0950433i
$411$	27.6410	+	20.0824i	1.36343	+	0.990590i
$412$	−2.99078	+	28.4554i	−0.147345	+	1.40190i
$413$	0.395128	−	0.438835i	0.0194430	−	0.0215936i
$414$	−7.74199	−	3.44696i	−0.380498	−	0.169409i
$415$	7.82223	+	1.66267i	0.383978	+	0.0816171i
$416$	−45.4829	+	9.66770i	−2.22998	+	0.473998i
$417$	−9.45719	+	4.21061i	−0.463121	+	0.206195i
$418$	8.06139	−	24.8104i	0.394295	−	1.21352i
$419$	1.30801	−	4.02565i	0.0639007	−	0.196666i	−0.914009	−	0.405694i	$-0.867030\pi$
$419$	1.30801	−	4.02565i	0.0639007	−	0.196666i	0.977910	+	0.209028i	$0.0670299\pi$
$420$	−10.0712	+	4.48399i	−0.491424	+	0.218796i
$421$	−0.803249	+	0.170736i	−0.0391479	+	0.00832115i	−0.227444	−	0.973791i	$-0.573037\pi$
$421$	−0.803249	+	0.170736i	−0.0391479	+	0.00832115i	0.188296	+	0.982112i	$0.439704\pi$
$422$	−33.2591	−	7.06945i	−1.61903	−	0.344135i
$423$	−0.944253	−	0.420408i	−0.0459111	−	0.0204410i
$424$	−1.51990	+	1.68802i	−0.0738127	+	0.0819774i
$425$	0.600867	−	5.71686i	0.0291463	−	0.277309i
$426$	−2.48219	−	1.80341i	−0.120262	−	0.0873757i
$427$	3.06944	+	29.2038i	0.148541	+	1.41327i
$428$	4.34180	−	7.52022i	0.209869	−	0.363503i
$429$	−26.8945	−	46.5827i	−1.29848	−	2.24903i
$430$	−7.21809	+	5.24425i	−0.348087	+	0.252900i
$431$	24.6170	+	27.3399i	1.18576	+	1.31692i	0.937402	+	0.348249i	$0.113223\pi$
$431$	24.6170	+	27.3399i	1.18576	+	1.31692i	0.248356	+	0.968669i	$0.420110\pi$
$432$	5.36958	+	16.5259i	0.258344	+	0.795101i
$433$	−8.37708			−0.402577			−0.201288	−	0.979532i	$-0.564513\pi$
$433$	−8.37708			−0.402577			−0.201288	+	0.979532i	$0.564513\pi$
$434$	25.8002	+	24.1305i	1.23845	+	1.15830i
$435$	−8.79626			−0.421749
$436$	−2.14421	−	6.59919i	−0.102689	−	0.316044i
$437$	−8.36839	−	9.29404i	−0.400314	−	0.444594i
$438$	2.79320	−	2.02937i	0.133464	−	0.0969673i
$439$	19.1752	+	33.2125i	0.915184	+	1.58515i	0.806632	+	0.591054i	$0.201288\pi$
$439$	19.1752	+	33.2125i	0.915184	+	1.58515i	0.108552	+	0.994091i	$0.465379\pi$
$440$	−2.40899	+	4.17249i	−0.114844	+	0.198916i
$441$	0.151889	+	1.44513i	0.00723283	+	0.0688157i
$442$	−56.0549	−	40.7263i	−2.66626	−	1.93715i
$443$	−1.44602	+	13.7580i	−0.0687027	+	0.653662i	0.904933	+	0.425554i	$0.139921\pi$
$443$	−1.44602	+	13.7580i	−0.0687027	+	0.653662i	−0.973636	+	0.228108i	$0.926746\pi$
$444$	5.75471	−	6.39125i	0.273106	−	0.303315i
$445$	−9.76388	−	4.34716i	−0.462852	−	0.206075i
$446$	9.94199	+	2.11323i	0.470767	+	0.100065i
$447$	32.0188	−	6.80580i	1.51444	−	0.321903i
$448$	−29.5863	+	13.1726i	−1.39782	+	0.622349i
$449$	7.32528	−	22.5449i	0.345701	−	1.06396i	−0.615506	−	0.788132i	$-0.711048\pi$
$449$	7.32528	−	22.5449i	0.345701	−	1.06396i	0.961207	−	0.275827i	$-0.0889517\pi$
$450$	−0.427657	+	1.31619i	−0.0201599	+	0.0620459i
$451$	−5.15869	+	2.29680i	−0.242913	+	0.108152i
$452$	−40.1793	+	8.54037i	−1.88987	+	0.401705i
$453$	5.08632	+	1.08113i	0.238976	+	0.0507959i
$454$	9.33692	+	4.15706i	0.438203	+	0.195101i
$455$	11.6908	−	12.9839i	0.548071	−	0.608694i
$456$	0.257622	−	2.45111i	0.0120643	−	0.114784i
$457$	23.6411	+	17.1763i	1.10588	+	0.803472i	0.982011	−	0.188826i	$-0.0604683\pi$
$457$	23.6411	+	17.1763i	1.10588	+	0.803472i	0.123874	+	0.992298i	$0.460468\pi$
$458$	−0.748767	−	7.12404i	−0.0349876	−	0.332885i
$459$	−16.0931	+	27.8741i	−0.751163	+	1.30105i
$460$	7.27852	+	12.6068i	0.339363	+	0.587794i
$461$	18.9530	−	13.7701i	0.882728	−	0.641340i	−0.0512435	−	0.998686i	$-0.516318\pi$
$461$	18.9530	−	13.7701i	0.882728	−	0.641340i	0.933972	+	0.357346i	$0.116318\pi$
$462$	−39.6373	−	44.0217i	−1.84409	−	2.04807i
$463$	7.42425	+	22.8495i	0.345034	+	1.06191i	0.961566	+	0.274576i	$0.0885373\pi$
$463$	7.42425	+	22.8495i	0.345034	+	1.06191i	−0.616531	+	0.787330i	$0.711463\pi$
$464$	−17.8508			−0.828704
$465$	−8.48304	+	0.729519i	−0.393392	+	0.0338306i
$466$	31.1967			1.44516
$467$	−6.92278	−	21.3061i	−0.320348	−	0.985930i	−0.973497	−	0.228701i	$-0.926552\pi$
$467$	−6.92278	−	21.3061i	−0.320348	−	0.985930i	0.653149	−	0.757230i	$-0.273448\pi$
$468$	6.06184	+	6.73236i	0.280209	+	0.311203i
$469$	−15.8160	+	11.4910i	−0.730317	+	0.530606i
$470$	1.63460	+	2.83120i	0.0753983	+	0.130594i
$471$	−7.20022	+	12.4711i	−0.331769	+	0.574640i
$472$	−0.0160621	−	0.152820i	−0.000739317	−	0.00703413i
$473$	−21.0636	−	15.3036i	−0.968506	−	0.703661i
$474$	3.22597	−	30.6931i	0.148174	−	1.40978i
$475$	−1.36657	+	1.51773i	−0.0627026	+	0.0696383i
$476$	−37.8577	−	16.8553i	−1.73520	−	0.772563i
$477$	−1.86237	−	0.395860i	−0.0852722	−	0.0181252i
$478$	15.3525	−	3.26327i	0.702206	−	0.149259i
$479$	20.2792	−	9.02888i	0.926580	−	0.412540i	0.112737	−	0.993625i	$-0.464038\pi$
$479$	20.2792	−	9.02888i	0.926580	−	0.412540i	0.813843	+	0.581085i	$0.197372\pi$
$480$	3.81402	−	11.7383i	0.174085	−	0.535779i
$481$	−4.21187	+	12.9628i	−0.192045	+	0.591053i
$482$	−11.6539	+	5.18863i	−0.530819	+	0.236336i
$483$	−27.7780	+	5.90440i	−1.26394	+	0.268660i
$484$	−61.0955	−	12.9862i	−2.77707	−	0.590284i
$485$	−2.21146	−	0.984605i	−0.100417	−	0.0447086i
$486$	9.43334	−	10.4768i	0.427905	−	0.475236i
$487$	2.19255	−	20.8608i	0.0993541	−	0.945291i	−0.825354	−	0.564615i	$-0.809025\pi$
$487$	2.19255	−	20.8608i	0.0993541	−	0.945291i	0.924709	−	0.380676i	$-0.124309\pi$
$488$	6.18190	+	4.49142i	0.279842	+	0.203317i
$489$	1.82812	+	17.3934i	0.0826704	+	0.786556i
$490$	2.29797	−	3.98021i	0.103812	−	0.179807i
$491$	−11.3850	−	19.7194i	−0.513798	−	0.889925i	−0.999872	−	0.0160069i	$-0.994905\pi$
$491$	−11.3850	−	19.7194i	−0.513798	−	0.889925i	0.486074	−	0.873918i	$-0.338429\pi$
$492$	−2.72015	+	1.97631i	−0.122634	+	0.0890988i
$493$	−22.1249	−	24.5722i	−0.996457	−	1.10668i
$494$	7.60705	+	23.4121i	0.342257	+	1.05336i
$495$	−4.03853			−0.181519
$496$	−17.2152	+	1.48046i	−0.772985	+	0.0664746i
$497$	2.90821			0.130451
$498$	7.90637	+	24.3333i	0.354293	+	1.09040i
$499$	4.53741	+	5.03931i	0.203123	+	0.225590i	0.836096	−	0.548583i	$-0.184833\pi$
$499$	4.53741	+	5.03931i	0.203123	+	0.225590i	−0.632974	+	0.774173i	$0.718166\pi$
$500$	1.92319	−	1.39728i	0.0860075	−	0.0624881i
$501$	−5.90135	−	10.2214i	−0.263653	−	0.456660i
$502$	−5.54015	+	9.59583i	−0.247269	+	0.428283i
$503$	1.94958	+	18.5490i	0.0869275	+	0.827060i	0.947934	+	0.318466i	$0.103168\pi$
$503$	1.94958	+	18.5490i	0.0869275	+	0.827060i	−0.861007	+	0.508594i	$0.830166\pi$
$504$	1.28070	+	0.930481i	0.0570468	+	0.0414469i
$505$	−0.122723	+	1.16763i	−0.00546111	+	0.0519590i
$506$	−52.3391	+	58.1284i	−2.32676	+	2.58412i
$507$	28.2081	+	12.5591i	1.25277	+	0.557767i
$508$	23.0983	+	4.90970i	1.02482	+	0.217833i
$509$	18.9298	−	4.02366i	0.839051	−	0.178346i	0.231708	−	0.972785i	$-0.425569\pi$
$509$	18.9298	−	4.02366i	0.839051	−	0.178346i	0.607343	+	0.794440i	$0.292235\pi$
$510$	16.8013	−	7.48041i	0.743973	−	0.331238i
$511$	−1.01129	+	3.11242i	−0.0447367	+	0.137685i
$512$	9.25359	−	28.4796i	0.408955	−	1.25863i
$513$	10.4467	−	4.65117i	0.461233	−	0.205354i
$514$	15.0125	−	3.19101i	0.662174	−	0.140749i
$515$	11.7731	+	2.50245i	0.518785	+	0.110271i
$516$	−14.1622	−	6.30543i	−0.623457	−	0.277581i
$517$	−6.38354	+	7.08964i	−0.280748	+	0.311802i
$518$	−1.56901	+	14.9282i	−0.0689386	+	0.655907i
$519$	5.75536	+	4.18152i	0.252632	+	0.183548i
$520$	−0.475232	−	4.52153i	−0.0208403	−	0.198282i
$521$	17.8991	−	31.0021i	0.784172	−	1.35823i	−0.145320	−	0.989385i	$-0.546421\pi$
$521$	17.8991	−	31.0021i	0.784172	−	1.35823i	0.929492	−	0.368842i	$-0.120246\pi$
$522$	3.98025	+	6.89400i	0.174211	+	0.301742i
$523$	13.4111	−	9.74371i	0.586425	−	0.426063i	−0.254610	−	0.967044i	$-0.581947\pi$
$523$	13.4111	−	9.74371i	0.586425	−	0.426063i	0.841035	+	0.540981i	$0.181947\pi$
$524$	9.47081	+	10.5184i	0.413734	+	0.459498i
$525$	1.43308	+	4.41056i	0.0625447	+	0.192493i
$526$	−37.0016			−1.61334
$527$	−23.3750	−	21.8623i	−1.01823	−	0.952337i
$528$	28.9741			1.26094
$529$	4.48041	+	13.7893i	0.194801	+	0.599535i
$530$	4.02954	+	4.47526i	0.175032	+	0.194393i
$531$	0.104204	−	0.0757085i	0.00452206	−	0.00328547i
$532$	7.36160	+	12.7507i	0.319166	+	0.552811i
$533$	2.66432	−	4.61473i	0.115404	−	0.199886i
$534$	−3.57434	−	34.0075i	−0.154677	−	1.47165i
$535$	−2.95525	−	2.14711i	−0.127766	−	0.0928278i
$536$	−0.531758	+	5.05934i	−0.0229685	+	0.218530i
$537$	−5.81655	+	6.45993i	−0.251003	+	0.278767i
$538$	−28.1982	−	12.5547i	−1.21571	−	0.541270i
$539$	13.1187	+	2.78846i	0.565061	+	0.120107i
$540$	−13.0195	+	2.76739i	−0.560271	+	0.119089i
$541$	−18.3608	+	8.17474i	−0.789391	+	0.351460i	−0.761511	−	0.648152i	$-0.775542\pi$
$541$	−18.3608	+	8.17474i	−0.789391	+	0.351460i	−0.0278800	+	0.999611i	$0.508876\pi$
$542$	7.56931	−	23.2959i	0.325130	−	1.00065i
$543$	−0.537162	+	1.65321i	−0.0230518	+	0.0709462i
$544$	42.3841	−	18.8706i	1.81720	−	0.809071i
$545$	−2.85512	+	0.606875i	−0.122300	+	0.0259957i
$546$	54.6770	+	11.6219i	2.33996	+	0.497373i
$547$	9.58694	+	4.26838i	0.409908	+	0.182503i	0.601322	−	0.799007i	$-0.294641\pi$
$547$	9.58694	+	4.26838i	0.409908	+	0.182503i	−0.191414	+	0.981509i	$0.561307\pi$
$548$	−35.5386	+	39.4696i	−1.51813	+	1.68606i
$549$	−0.669512	+	6.36998i	−0.0285741	+	0.271864i
$550$	10.3339	+	7.50800i	0.440638	+	0.320142i
$551$	1.22796	+	11.6832i	0.0523128	+	0.497723i
$552$	−3.69493	+	6.39981i	−0.157267	+	0.272394i
$553$	14.6266	+	25.3341i	0.621988	+	1.07731i
$554$	17.3036	−	12.5718i	0.735159	−	0.534125i
$555$	−2.42080	−	2.68858i	−0.102757	−	0.114124i
$556$	−4.97287	−	15.3049i	−0.210897	−	0.649074i
$557$	30.1350			1.27686			0.638431	−	0.769679i	$-0.279584\pi$
$557$	30.1350			1.27686			0.638431	+	0.769679i	$0.279584\pi$
$558$	4.41028	+	6.31841i	0.186702	+	0.267480i
$559$	24.5687			1.03914
$560$	2.90824	+	8.95064i	0.122896	+	0.378234i
$561$	35.9115	+	39.8837i	1.51618	+	1.68389i
$562$	7.24290	−	5.26227i	0.305523	−	0.221976i
$563$	−20.5872	−	35.6581i	−0.867648	−	1.50281i	−0.864394	−	0.502815i	$-0.832298\pi$
$563$	−20.5872	−	35.6581i	−0.867648	−	1.50281i	−0.00325339	−	0.999995i	$-0.501036\pi$
$564$	−2.84019	+	4.91935i	−0.119593	+	0.207142i
$565$	1.80621	+	17.1850i	0.0759879	+	0.722976i
$566$	34.8150	+	25.2946i	1.46338	+	1.06321i
$567$	2.08519	−	19.8393i	0.0875698	−	0.833171i
$568$	0.506379	−	0.562391i	0.0212472	−	0.0235974i
$569$	−34.8431	−	15.5131i	−1.46070	−	0.650344i	−0.486017	−	0.873949i	$-0.661551\pi$
$569$	−34.8431	−	15.5131i	−1.46070	−	0.650344i	−0.974680	+	0.223605i	$0.928217\pi$
$570$	−6.39138	−	1.35853i	−0.267705	−	0.0569025i
$571$	−12.4274	+	2.64152i	−0.520069	+	0.110544i	−0.460465	−	0.887678i	$-0.652317\pi$
$571$	−12.4274	+	2.64152i	−0.520069	+	0.110544i	−0.0596044	+	0.998222i	$0.518984\pi$
$572$	76.3865	−	34.0095i	3.19388	−	1.42201i
$573$	−9.17035	+	28.2234i	−0.383097	+	1.17905i
$574$	1.81342	−	5.58113i	0.0756906	−	0.232952i
$575$	5.59422	−	2.49071i	0.233295	−	0.103870i
$576$	−6.90976	+	1.46871i	−0.287907	+	0.0611964i
$577$	9.42440	+	2.00322i	0.392343	+	0.0833951i	0.399859	−	0.916577i	$-0.369059\pi$
$577$	9.42440	+	2.00322i	0.392343	+	0.0833951i	−0.00751594	+	0.999972i	$0.502392\pi$
$578$	30.6640	+	13.6525i	1.27545	+	0.567869i
$579$	−16.5415	+	18.3712i	−0.687440	+	0.763479i
$580$	1.42931	−	13.5990i	0.0593488	−	0.564666i
$581$	−19.6201	−	14.2548i	−0.813978	−	0.591390i
$582$	−0.809565	−	7.70249i	−0.0335575	−	0.319279i
$583$	−8.78669	+	15.2190i	−0.363907	+	0.630306i
$584$	0.425796	+	0.737501i	0.0176196	+	0.0305180i
$585$	3.08310	−	2.24000i	0.127471	−	0.0926128i
$586$	−9.16929	−	10.1835i	−0.378780	−	0.420678i
$587$	11.2747	+	34.7001i	0.465359	+	1.43223i	0.858531	+	0.512762i	$0.171378\pi$
$587$	11.2747	+	34.7001i	0.465359	+	1.43223i	−0.393173	+	0.919465i	$0.628622\pi$
$588$	7.98568			0.329324
$589$	2.15318	+	11.1654i	0.0887204	+	0.460061i
$590$	−0.407388			−0.0167719
$591$	−3.65629	−	11.2529i	−0.150400	−	0.462883i
$592$	−4.91270	−	5.45610i	−0.201911	−	0.224244i
$593$	22.7074	−	16.4979i	0.932482	−	0.677488i	−0.0141175	−	0.999900i	$-0.504494\pi$
$593$	22.7074	−	16.4979i	0.932482	−	0.677488i	0.946599	+	0.322413i	$0.104494\pi$
$594$	−35.7605	−	61.9389i	−1.46727	−	2.54138i
$595$	−8.71626	+	15.0970i	−0.357332	+	0.618917i
$596$	5.31898	+	50.6067i	0.217874	+	2.07293i
$597$	−32.8273	−	23.8504i	−1.34353	−	0.976132i
$598$	7.71536	−	73.4068i	0.315505	−	3.00183i
$599$	−9.33989	+	10.3730i	−0.381618	+	0.423829i	−0.903098	−	0.429434i	$-0.858713\pi$
$599$	−9.33989	+	10.3730i	−0.381618	+	0.423829i	0.521481	+	0.853263i	$0.325380\pi$
$600$	1.10245	+	0.490841i	0.0450072	+	0.0200385i
$601$	−28.2285	−	6.00014i	−1.15146	−	0.244751i	−0.407649	−	0.913139i	$-0.633651\pi$
$601$	−28.2285	−	6.00014i	−1.15146	−	0.244751i	−0.743813	+	0.668388i	$0.766985\pi$
$602$	26.4658	−	5.62549i	1.07867	−	0.229278i
$603$	−3.89555	+	1.73441i	−0.158639	+	0.0706307i
$604$	−2.49790	+	7.68774i	−0.101638	+	0.312810i
$605$	−8.11939	+	24.9889i	−0.330100	+	1.01594i
$606$	−3.43155	+	1.52782i	−0.139397	+	0.0620636i
$607$	−15.8258	+	3.36388i	−0.642350	+	0.136536i	−0.517559	−	0.855647i	$-0.673159\pi$
$607$	−15.8258	+	3.36388i	−0.642350	+	0.136536i	−0.124791	+	0.992183i	$0.539826\pi$
$608$	−16.1234	−	3.42712i	−0.653888	−	0.138988i
$609$	24.3694	+	10.8500i	0.987499	+	0.439663i
$610$	13.5555	−	15.0549i	0.548848	−	0.609557i
$611$	0.941005	−	8.95307i	0.0380690	−	0.362202i
$612$	−7.31274	−	5.31302i	−0.295600	−	0.214766i
$613$	−1.05171	−	10.0063i	−0.0424781	−	0.404152i	−0.995015	−	0.0997283i	$-0.968203\pi$
$613$	−1.05171	−	10.0063i	−0.0424781	−	0.404152i	0.952537	−	0.304424i	$-0.0984640\pi$
$614$	32.8950	−	56.9757i	1.32753	−	2.29935i
$615$	0.707200	+	1.22491i	0.0285170	+	0.0493930i
$616$	11.8206	−	8.58816i	0.476265	−	0.346027i
$617$	21.2109	+	23.5571i	0.853921	+	0.948375i	0.999158	−	0.0410218i	$-0.0130613\pi$
$617$	21.2109	+	23.5571i	0.853921	+	0.948375i	−0.145238	+	0.989397i	$0.546395\pi$
$618$	11.8997	+	36.6236i	0.478678	+	1.47322i
$619$	−8.46480			−0.340229			−0.170114	−	0.985424i	$-0.554414\pi$
$619$	−8.46480			−0.340229			−0.170114	+	0.985424i	$0.554414\pi$
$620$	0.250582	−	13.2333i	0.0100636	−	0.531460i
$621$	−34.2876			−1.37591
$622$	0.658913	+	2.02793i	0.0264200	+	0.0813124i
$623$	21.6880	+	24.0870i	0.868912	+	0.965025i
$624$	−22.1194	+	16.0707i	−0.885486	+	0.643343i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	1.85328	−	3.20997i	0.0740719	−	0.128296i
$627$	−1.99313	−	18.9633i	−0.0795979	−	0.757323i
$628$	−18.1103	−	13.1579i	−0.722681	−	0.525058i
$629$	1.42153	−	13.5250i	0.0566801	−	0.539275i
$630$	2.80828	−	3.11891i	0.111885	−	0.124260i
$631$	−42.3260	−	18.8448i	−1.68497	−	0.750198i	−0.999761	−	0.0218541i	$-0.993043\pi$
$631$	−42.3260	−	18.8448i	−1.68497	−	0.750198i	−0.685212	−	0.728344i	$-0.740290\pi$
$632$	7.44592	+	1.58268i	0.296183	+	0.0629556i
$633$	−24.3099	+	5.16724i	−0.966233	+	0.205379i
$634$	−38.9276	+	17.3317i	−1.54601	+	0.688329i
$635$	3.06969	−	9.44753i	0.121817	−	0.374914i
$636$	−3.23343	+	9.95148i	−0.128214	+	0.394602i
$637$	−11.5617	+	5.14761i	−0.458092	+	0.203956i
$638$	71.8684	−	15.2761i	2.84530	−	0.604786i
$639$	0.620481	+	0.131887i	0.0245458	+	0.00521738i
$640$	5.66479	+	2.52213i	0.223920	+	0.0996958i
$641$	18.1485	−	20.1560i	0.716824	−	0.796114i	−0.269134	−	0.963103i	$-0.586738\pi$
$641$	18.1485	−	20.1560i	0.716824	−	0.796114i	0.985959	+	0.166989i	$0.0534043\pi$
$642$	1.22163	−	11.6230i	0.0482138	−	0.458724i
$643$	−2.65807	−	1.93120i	−0.104824	−	0.0761590i	0.534139	−	0.845397i	$-0.320636\pi$
$643$	−2.65807	−	1.93120i	−0.104824	−	0.0761590i	−0.638962	+	0.769238i	$0.720636\pi$
$644$	−4.61450	−	43.9040i	−0.181837	−	1.73006i
$645$	−3.26068	+	5.64766i	−0.128389	+	0.222376i
$646$	−12.2810	−	21.2713i	−0.483188	−	0.836907i
$647$	−40.1839	+	29.1953i	−1.57979	+	1.14779i	−0.662861	+	0.748742i	$0.730658\pi$
$647$	−40.1839	+	29.1953i	−1.57979	+	1.14779i	−0.916932	+	0.399045i	$0.869342\pi$
$648$	−3.47346	−	3.85767i	−0.136450	−	0.151543i
$649$	−0.367368	−	1.13064i	−0.0144204	−	0.0443816i
$650$	−12.0535			−0.472776
$651$	24.4015	+	8.44253i	0.956370	+	0.330889i
$652$	−27.1871			−1.06473
$653$	−3.38743	−	10.4254i	−0.132560	−	0.407978i	0.862642	−	0.505814i	$-0.168808\pi$
$653$	−3.38743	−	10.4254i	−0.132560	−	0.407978i	−0.995203	+	0.0978360i	$0.968808\pi$
$654$	−6.24885	−	6.94005i	−0.244349	−	0.271377i
$655$	4.81693	−	3.49970i	0.188213	−	0.136745i
$656$	1.43517	+	2.48578i	0.0560338	+	0.0970534i
$657$	−0.356912	+	0.618189i	−0.0139244	+	0.0241179i
$658$	−1.03631	−	9.85988i	−0.0403998	−	0.384378i
$659$	−36.2046	−	26.3042i	−1.41033	−	1.02466i	−0.993275	−	0.115783i	$-0.963062\pi$
$659$	−36.2046	−	26.3042i	−1.41033	−	1.02466i	−0.417055	−	0.908881i	$-0.636938\pi$
$660$	−2.31994	+	22.0728i	−0.0903036	+	0.859182i
$661$	14.3179	−	15.9017i	0.556904	−	0.618504i	−0.397290	−	0.917693i	$-0.630049\pi$
$661$	14.3179	−	15.9017i	0.556904	−	0.618504i	0.954194	+	0.299189i	$0.0967161\pi$
$662$	34.3500	+	15.2936i	1.33505	+	0.594402i
$663$	−49.5374	−	10.5295i	−1.92387	−	0.408932i
$664$	−6.17287	+	1.31208i	−0.239554	+	0.0509187i
$665$	5.65807	−	2.51914i	0.219411	−	0.0976879i
$666$	−1.01175	+	3.11385i	−0.0392045	+	0.120659i
$667$	10.8848	−	33.4999i	0.421460	−	1.29712i
$668$	16.7612	−	7.46256i	0.648509	−	0.288735i
$669$	7.26685	−	1.54462i	0.280953	−	0.0597183i
$670$	13.1924	+	2.80414i	0.509668	+	0.108333i
$671$	54.0066	+	24.0453i	2.08490	+	0.928257i
$672$	−25.0454	+	27.8157i	−0.966147	+	1.07301i
$673$	3.99345	−	37.9951i	0.153936	−	1.46460i	−0.595942	−	0.803027i	$-0.703221\pi$
$673$	3.99345	−	37.9951i	0.153936	−	1.46460i	0.749878	−	0.661576i	$-0.230112\pi$
$674$	−15.3477	−	11.1508i	−0.591172	−	0.429512i
$675$	0.585277	+	5.56854i	0.0225273	+	0.214333i
$676$	−23.9997	+	41.5688i	−0.923067	+	1.59880i
$677$	−18.8406	−	32.6330i	−0.724105	−	1.25419i	−0.959341	−	0.282248i	$-0.908920\pi$
$677$	−18.8406	−	32.6330i	−0.724105	−	1.25419i	0.235236	−	0.971938i	$-0.424414\pi$
$678$	−44.7260	+	32.4953i	−1.71769	+	1.24798i
$679$	4.91220	+	5.45555i	0.188513	+	0.209365i
$680$	1.40179	+	4.31426i	0.0537561	+	0.165444i
$681$	7.47045			0.286268
$682$	68.0423	−	20.6925i	2.60547	−	0.792358i
$683$	1.48318			0.0567524			0.0283762	−	0.999597i	$-0.490966\pi$
$683$	1.48318			0.0567524			0.0283762	+	0.999597i	$0.490966\pi$
$684$	0.992392	+	3.05427i	0.0379450	+	0.116783i
$685$	14.9498	+	16.6035i	0.571204	+	0.634386i
$686$	24.6552	−	17.9131i	0.941340	−	0.683924i
$687$	−2.61791	−	4.53436i	−0.0998796	−	0.172997i
$688$	−6.61710	+	11.4612i	−0.252275	+	0.436952i
$689$	−1.73339	−	16.4921i	−0.0660369	−	0.628299i
$690$	15.8502	+	11.5159i	0.603408	+	0.438401i
$691$	−3.43812	+	32.7115i	−0.130792	+	1.24440i	0.710451	+	0.703747i	$0.248491\pi$
$691$	−3.43812	+	32.7115i	−0.130792	+	1.24440i	−0.841243	+	0.540658i	$0.818175\pi$
$692$	−7.39978	+	8.21829i	−0.281297	+	0.312413i
$693$	11.1885	+	4.98143i	0.425015	+	0.189229i
$694$	19.6487	+	4.17646i	0.745855	+	0.158536i
$695$	−6.62164	+	1.40747i	−0.251173	+	0.0533885i
$696$	6.34140	−	2.82337i	0.240370	−	0.107020i
$697$	−1.64296	+	5.05651i	−0.0622316	+	0.191529i
$698$	5.87701	−	18.0876i	0.222448	−	0.684625i
$699$	20.8311	−	9.27460i	0.787904	−	0.350797i
$700$	−7.05155	+	1.49885i	−0.266524	+	0.0566514i
$701$	−3.29647	−	0.700686i	−0.124506	−	0.0264646i	0.145237	−	0.989397i	$-0.453605\pi$
$701$	−3.29647	−	0.700686i	−0.124506	−	0.0264646i	−0.269743	+	0.962932i	$0.586939\pi$
$702$	61.6552	+	27.4507i	2.32703	+	1.03606i
$703$	−3.23304	+	3.59065i	−0.121936	+	0.135424i
$704$	−6.81531	+	64.8434i	−0.256862	+	2.44388i
$705$	1.93317	+	1.40453i	0.0728076	+	0.0528978i
$706$	0.265588	+	2.52690i	0.00999554	+	0.0951012i
$707$	1.78024	−	3.08347i	0.0669528	−	0.115966i
$708$	−0.353928	−	0.613021i	−0.0133014	−	0.0230388i
$709$	11.8802	−	8.63149i	0.446172	−	0.324163i	−0.341911	−	0.939732i	$-0.611074\pi$
$709$	11.8802	−	8.63149i	0.446172	−	0.324163i	0.788082	+	0.615570i	$0.211074\pi$
$710$	−1.34251	−	1.49101i	−0.0503834	−	0.0559565i
$711$	1.97177	+	6.06847i	0.0739470	+	0.227586i
$712$	8.43430			0.316089
$713$	7.71886	−	33.2097i	0.289074	−	1.24371i
$714$	−55.7736			−2.08727
$715$	−10.8694	−	33.4526i	−0.406492	−	1.25105i
$716$	−9.04188	−	10.0420i	−0.337911	−	0.375288i
$717$	9.28122	−	6.74320i	0.346613	−	0.251829i
$718$	−1.64430	−	2.84800i	−0.0613646	−	0.106287i
$719$	−26.6781	+	46.2078i	−0.994924	+	1.72326i	−0.410316	+	0.911943i	$0.634582\pi$
$719$	−26.6781	+	46.2078i	−0.994924	+	1.72326i	−0.584608	+	0.811316i	$0.698752\pi$
$720$	0.214576	+	2.04155i	0.00799677	+	0.0760842i
$721$	−29.5298	−	21.4547i	−1.09975	−	0.799014i
$722$	3.24297	−	30.8548i	0.120691	−	1.14830i
$723$	−6.23912	+	6.92925i	−0.232035	+	0.257701i
$724$	−2.46857	−	1.09908i	−0.0917438	−	0.0408470i
$725$	−5.62642	−	1.19593i	−0.208960	−	0.0444158i
$726$	−82.2269	+	17.4779i	−3.05172	+	0.648664i
$727$	22.9289	−	10.2086i	0.850387	−	0.378617i	0.0651976	−	0.997872i	$-0.479232\pi$
$727$	22.9289	−	10.2086i	0.850387	−	0.378617i	0.785189	+	0.619256i	$0.212566\pi$
$728$	−4.26060	+	13.1128i	−0.157908	+	0.485991i
$729$	9.28242	−	28.5684i	0.343793	−	1.05809i
$730$	2.06254	−	0.918303i	0.0763381	−	0.0339879i
$731$	−23.9781	+	5.09670i	−0.886862	+	0.188508i
$732$	34.4308	+	7.31849i	1.27260	+	0.270499i
$733$	−47.0408	−	20.9439i	−1.73749	−	0.773582i	−0.994554	−	0.104222i	$-0.966765\pi$
$733$	−47.0408	−	20.9439i	−1.73749	−	0.773582i	−0.742938	−	0.669360i	$-0.766568\pi$
$734$	3.24021	−	3.59862i	0.119599	−	0.132828i
$735$	0.351142	−	3.34089i	0.0129521	−	0.123231i
$736$	39.9849	+	29.0508i	1.47386	+	1.07083i
$737$	4.11402	+	39.1422i	0.151542	+	1.44182i
$738$	0.640007	−	1.10852i	0.0235590	−	0.0408053i
$739$	19.2463	+	33.3355i	0.707985	+	1.22627i	0.965603	+	0.260019i	$0.0837288\pi$
$739$	19.2463	+	33.3355i	0.707985	+	1.22627i	−0.257619	+	0.966247i	$0.582938\pi$
$740$	4.54987	−	3.30568i	0.167257	−	0.121519i
$741$	12.0398	+	13.3715i	0.442292	+	0.491215i
$742$	−5.64344	−	17.3687i	−0.207177	−	0.637626i
$743$	−14.9183			−0.547299			−0.273650	−	0.961829i	$-0.588231\pi$
$743$	−14.9183			−0.547299			−0.273650	+	0.961829i	$0.588231\pi$
$744$	5.88143	−	3.24876i	0.215624	−	0.119105i
$745$	21.4057			0.784245
$746$	−19.9089	−	61.2734i	−0.728918	−	2.24338i
$747$	−3.53959	−	3.93111i	−0.129507	−	0.143832i
$748$	−67.4952	+	49.0381i	−2.46787	+	1.79301i
$749$	5.53889	+	9.59364i	0.202387	+	0.350544i
$750$	1.59970	−	2.77076i	0.0584128	−	0.101174i
$751$	−0.461597	−	4.39180i	−0.0168439	−	0.160259i	0.982867	−	0.184318i	$-0.0590077\pi$
$751$	−0.461597	−	4.39180i	−0.0168439	−	0.160259i	−0.999711	+	0.0240591i	$0.992341\pi$
$752$	3.92312	+	2.85031i	0.143061	+	0.103940i
$753$	−0.846563	+	8.05451i	−0.0308505	+	0.293523i
$754$	−46.3928	+	51.5245i	−1.68953	+	1.87641i
$755$	3.10641	+	1.38306i	0.113054	+	0.0503348i
$756$	39.4832	+	8.39241i	1.43599	+	0.305229i
$757$	−25.4464	+	5.40879i	−0.924863	+	0.196586i	−0.645641	−	0.763641i	$-0.723410\pi$
$757$	−25.4464	+	5.40879i	−0.924863	+	0.196586i	−0.279222	+	0.960227i	$0.590077\pi$
$758$	−3.82157	+	1.70147i	−0.138806	+	0.0618002i
$759$	−17.6673	+	54.3744i	−0.641283	+	1.97367i
$760$	0.498036	−	1.53280i	0.0180657	−	0.0556004i
$761$	37.3942	−	16.6490i	1.35554	−	0.603525i	0.405053	−	0.914293i	$-0.367253\pi$
$761$	37.3942	−	16.6490i	1.35554	−	0.603525i	0.950486	+	0.310769i	$0.100586\pi$
$762$	31.0874	−	6.60784i	1.12618	−	0.239377i
$763$	8.65848	+	1.84042i	0.313458	+	0.0666276i
$764$	−42.1431	−	18.7633i	−1.52468	−	0.678833i
$765$	−2.54431	+	2.82574i	−0.0919897	+	0.102165i
$766$	−3.32736	+	31.6577i	−0.120222	+	1.14384i
$767$	0.907576	+	0.659393i	0.0327707	+	0.0238093i
$768$	−1.34037	−	12.7527i	−0.0483663	−	0.460174i
$769$	−13.8277	+	23.9503i	−0.498641	+	0.863671i	−0.999999	−	0.00156868i	$-0.999501\pi$
$769$	−13.8277	+	23.9503i	−0.498641	+	0.863671i	0.501358	+	0.865240i	$0.332834\pi$
$770$	−19.3684	−	33.5470i	−0.697987	−	1.20895i
$771$	9.07570	−	6.59388i	0.326853	−	0.237473i
$772$	−25.7138	−	28.5581i	−0.925461	−	1.02783i
$773$	9.88207	+	30.4139i	0.355433	+	1.09391i	0.955758	+	0.294155i	$0.0950382\pi$
$773$	9.88207	+	30.4139i	0.355433	+	1.09391i	−0.600324	+	0.799757i	$0.704962\pi$
$774$	5.90174			0.212134
$775$	−5.52525	−	0.686719i	−0.198473	−	0.0246677i
$776$	1.91032			0.0685763
$777$	3.39038	+	10.4345i	0.121629	+	0.374336i
$778$	−30.9352	−	34.3570i	−1.10908	−	1.23176i
$779$	1.52820	−	1.11030i	0.0547535	−	0.0397807i
$780$	−10.4717	−	18.1376i	−0.374949	−	0.649430i
$781$	2.92743	−	5.07046i	0.104752	−	0.181435i
$782$	7.69813	+	73.2428i	0.275284	+	2.61916i
$783$	26.0563	+	18.9310i	0.931175	+	0.676538i
$784$	0.712595	−	6.77989i	0.0254498	−	0.242139i
$785$	−6.30109	+	6.99807i	−0.224896	+	0.249772i
$786$	17.4025	+	7.74808i	0.620726	+	0.276365i
$787$	41.0761	+	8.73099i	1.46420	+	0.311226i	0.869985	−	0.493077i	$-0.164128\pi$
$787$	41.0761	+	8.73099i	1.46420	+	0.311226i	0.594219	+	0.804304i	$0.297461\pi$
$788$	17.9910	−	3.82411i	0.640904	−	0.136228i
$789$	−24.7072	+	11.0003i	−0.879599	+	0.391623i
$790$	6.23645	−	19.1938i	0.221883	−	0.682886i
$791$	16.1932	−	49.8376i	0.575765	−	1.77202i
$792$	2.91146	−	1.29626i	0.103454	−	0.0460607i
$793$	−54.5666	+	11.5985i	−1.93772	+	0.411875i
$794$	12.1131	+	2.57472i	0.429879	+	0.0913735i
$795$	4.02113	+	1.79032i	0.142615	+	0.0634961i
$796$	42.2067	−	46.8752i	1.49598	−	1.66145i
$797$	−2.44204	+	23.2345i	−0.0865015	+	0.823007i	0.862144	+	0.506664i	$0.169122\pi$
$797$	−2.44204	+	23.2345i	−0.0865015	+	0.823007i	−0.948645	+	0.316343i	$0.897545\pi$
$798$	16.0311	+	11.6473i	0.567496	+	0.412310i
$799$	0.938903	+	8.93306i	0.0332160	+	0.316029i
$800$	4.03552	−	6.98972i	0.142677	−	0.247124i
$801$	3.53491	+	6.12264i	0.124900	+	0.216333i
$802$	−37.2987	+	27.0991i	−1.31706	+	0.956902i
$803$	4.40854	+	4.89617i	0.155574	+	0.172782i
$804$	7.24169	+	22.2876i	0.255395	+	0.786024i
$805$	−18.5706			−0.654528
$806$	−40.4677	+	53.5373i	−1.42541	+	1.88577i
$807$	−22.5613			−0.794197
$808$	−0.286306	−	0.881159i	−0.0100722	−	0.0309991i
$809$	33.0587	+	36.7154i	1.16228	+	1.29085i	0.949507	+	0.313745i	$0.101584\pi$
$809$	33.0587	+	36.7154i	1.16228	+	1.29085i	0.212776	+	0.977101i	$0.431749\pi$
$810$	−11.1340	+	8.08930i	−0.391208	+	0.284229i
$811$	−15.1368	−	26.2176i	−0.531524	−	0.920626i	−0.999323	−	0.0367913i	$-0.988286\pi$
$811$	−15.1368	−	26.2176i	−0.531524	−	0.920626i	0.467799	−	0.883835i	$-0.345047\pi$
$812$	−20.7338	+	35.9119i	−0.727612	+	1.26026i
$813$	−1.87146	−	17.8058i	−0.0656351	−	0.624477i
$814$	24.4479	+	17.7624i	0.856898	+	0.622573i
$815$	−1.19546	+	11.3740i	−0.0418750	+	0.398414i
$816$	18.2539	−	20.2730i	0.639015	−	0.709698i
$817$	7.95644	+	3.54243i	0.278361	+	0.123934i
$818$	64.5658	+	13.7239i	2.25749	+	0.479844i
$819$	−11.3045	+	2.40285i	−0.395011	+	0.0839622i
$820$	−2.00861	+	0.894290i	−0.0701436	+	0.0312300i
$821$	3.54582	−	10.9129i	0.123750	−	0.380863i	−0.869921	−	0.493190i	$-0.835831\pi$
$821$	3.54582	−	10.9129i	0.123750	−	0.380863i	0.993671	+	0.112328i	$0.0358306\pi$
$822$	−22.0890	+	67.9830i	−0.770442	+	2.37118i
$823$	17.4335	−	7.76188i	0.607692	−	0.270562i	−0.0797341	−	0.996816i	$-0.525407\pi$
$823$	17.4335	−	7.76188i	0.607692	−	0.270562i	0.687426	+	0.726254i	$0.258740\pi$
$824$	−9.29068	+	1.97479i	−0.323656	+	0.0687952i
$825$	9.13237	+	1.94114i	0.317948	+	0.0675820i
$826$	1.12864	+	0.502503i	0.0392704	+	0.0174843i
$827$	−10.5375	+	11.7031i	−0.366425	+	0.406957i	−0.897958	−	0.440081i	$-0.854950\pi$
$827$	−10.5375	+	11.7031i	−0.366425	+	0.406957i	0.531533	+	0.847038i	$0.321616\pi$
$828$	1.00652	−	9.57641i	0.0349790	−	0.332803i
$829$	2.42911	+	1.76485i	0.0843666	+	0.0612959i	0.629169	−	0.777269i	$-0.283395\pi$
$829$	2.42911	+	1.76485i	0.0843666	+	0.0612959i	−0.544802	+	0.838564i	$0.683395\pi$
$830$	1.74887	+	16.6394i	0.0607043	+	0.577563i
$831$	7.81667	−	13.5389i	0.271157	−	0.469658i
$832$	−30.7629	−	53.2830i	−1.06651	−	1.84725i
$833$	10.2159	−	7.42232i	0.353961	−	0.257168i
$834$	−14.4924	−	16.0955i	−0.501831	−	0.557340i
$835$	−2.38503	−	7.34035i	−0.0825372	−	0.254023i
$836$	29.6410			1.02516
$837$	26.6985	+	16.0959i	0.922835	+	0.556356i
$838$	8.85580			0.305918
$839$	−11.8376	−	36.4324i	−0.408680	−	1.25779i	−0.917783	−	0.397082i	$-0.870023\pi$
$839$	−11.8376	−	36.4324i	−0.408680	−	1.25779i	0.509104	−	0.860705i	$-0.329977\pi$
$840$	−2.44881	−	2.71968i	−0.0844919	−	0.0938378i
$841$	−3.30631	+	2.40217i	−0.114011	+	0.0828336i
$842$	−0.859040	−	1.48790i	−0.0296045	−	0.0512764i
$843$	3.27188	−	5.66707i	0.112690	−	0.195184i
$844$	−4.03838	−	38.4226i	−0.139007	−	1.32256i
$845$	16.3354	+	11.8684i	0.561956	+	0.408285i
$846$	0.226043	−	2.15065i	0.00777150	−	0.0739409i
$847$	53.3174	−	59.2149i	1.83201	−	2.03465i
$848$	8.16033	+	3.63322i	0.280227	+	0.124765i
$849$	30.7671	+	6.53974i	1.05592	+	0.224443i
$850$	11.7637	−	2.50046i	0.403493	−	0.0857651i
$851$	13.2348	−	5.89252i	0.453683	−	0.201993i
$852$	1.07727	−	3.31550i	0.0369067	−	0.113587i
$853$	3.44891	−	10.6147i	0.118089	−	0.363439i	−0.874490	−	0.485043i	$-0.838804\pi$
$853$	3.44891	−	10.6147i	0.118089	−	0.363439i	0.992579	+	0.121604i	$0.0388039\pi$
$854$	−56.1245	+	24.9883i	−1.92054	+	0.855080i
$855$	1.32142	−	0.280877i	0.0451917	−	0.00960579i
$856$	2.81966	+	0.599337i	0.0963740	+	0.0204849i
$857$	−35.8317	−	15.9533i	−1.22399	−	0.544955i	−0.310017	−	0.950731i	$-0.600335\pi$
$857$	−35.8317	−	15.9533i	−1.22399	−	0.544955i	−0.913973	+	0.405776i	$0.867001\pi$
$858$	75.3013	−	83.6305i	2.57074	−	2.85510i
$859$	2.95115	−	28.0783i	0.100692	−	0.958020i	−0.821218	−	0.570615i	$-0.806705\pi$
$859$	2.95115	−	28.0783i	0.100692	−	0.958020i	0.921910	−	0.387405i	$-0.126628\pi$
$860$	−8.20140	−	5.95867i	−0.279666	−	0.203189i
$861$	−0.448356	−	4.26583i	−0.0152799	−	0.145379i
$862$	−38.4850	+	66.6580i	−1.31080	+	2.27038i
$863$	13.9747	+	24.2050i	0.475706	+	0.823947i	0.999613	−	0.0278288i	$-0.00885933\pi$
$863$	13.9747	+	24.2050i	0.475706	+	0.823947i	−0.523907	+	0.851776i	$0.675526\pi$
$864$	−36.5607	+	26.5629i	−1.24382	+	0.903688i
$865$	3.11283	+	3.45715i	0.105839	+	0.117547i
$866$	−5.41592	−	16.6685i	−0.184041	−	0.566419i
$867$	24.5342			0.833225
$868$	−17.0171	+	36.3527i	−0.577598	+	1.23389i
$869$	58.8933			1.99782
$870$	−5.68693	−	17.5026i	−0.192805	−	0.593393i
$871$	−24.8513	−	27.6001i	−0.842054	−	0.935195i
$872$	1.86352	−	1.35393i	0.0631068	−	0.0458498i
$873$	0.800634	+	1.38674i	0.0270974	+	0.0469340i
$874$	13.0827	−	22.6600i	0.442530	−	0.766485i
$875$	0.316994	+	3.01600i	0.0107164	+	0.101959i
$876$	3.17371	+	2.30584i	0.107230	+	0.0779070i
$877$	4.38832	−	41.7521i	0.148183	−	1.40987i	−0.627437	−	0.778668i	$-0.715896\pi$
$877$	4.38832	−	41.7521i	0.148183	−	1.40987i	0.775620	−	0.631200i	$-0.217437\pi$
$878$	−53.6882	+	59.6268i	−1.81189	+	2.01231i
$879$	−9.15015	−	4.07391i	−0.308627	−	0.137410i
$880$	18.5329	+	3.93929i	0.624744	+	0.132793i
$881$	51.0170	−	10.8440i	1.71881	−	0.365344i	0.760115	−	0.649789i	$-0.225143\pi$
$881$	51.0170	−	10.8440i	1.71881	−	0.365344i	0.958692	+	0.284445i	$0.0918095\pi$
$882$	−2.77729	+	1.23653i	−0.0935161	+	0.0416360i
$883$	−2.45425	+	7.55342i	−0.0825923	+	0.254193i	−0.983822	−	0.179149i	$-0.942666\pi$
$883$	−2.45425	+	7.55342i	−0.0825923	+	0.254193i	0.901230	+	0.433342i	$0.142666\pi$
$884$	24.3279	−	74.8735i	0.818235	−	2.51827i
$885$	−0.272027	+	0.121114i	−0.00914408	+	0.00407121i
$886$	−28.3102	+	6.01752i	−0.951100	+	0.202163i
$887$	−7.87730	−	1.67437i	−0.264494	−	0.0562199i	0.0737558	−	0.997276i	$-0.476501\pi$
$887$	−7.87730	−	1.67437i	−0.264494	−	0.0562199i	−0.338250	+	0.941056i	$0.609835\pi$
$888$	2.60817	+	1.16123i	0.0875243	+	0.0389684i
$889$	−20.1576	+	22.3873i	−0.676066	+	0.750847i
$890$	2.33735	−	22.2384i	0.0783483	−	0.745434i
$891$	−32.4908	−	23.6060i	−1.08848	−	0.790829i
$892$	1.20717	+	11.4855i	0.0404191	+	0.384562i
$893$	1.59564	−	2.76373i	0.0533960	−	0.0924845i
$894$	34.2427	+	59.3101i	1.14525	+	1.98363i
$895$	−4.59877	+	3.34120i	−0.153720	+	0.111684i
$896$	−12.5829	−	13.9747i	−0.420366	−	0.466863i
$897$	−16.6716	−	51.3099i	−0.556648	−	1.71319i
$898$	49.5952			1.65501
$899$	−24.2017	+	20.9754i	−0.807173	+	0.699569i
$900$	−1.57246			−0.0524153
$901$	5.11296	+	15.7361i	0.170338	+	0.524245i
$902$	−7.90529	−	8.77972i	−0.263218	−	0.292333i
$903$	15.9997	−	11.6245i	0.532437	−	0.386838i
$904$	−6.81805	−	11.8092i	−0.226765	−	0.392769i
$905$	−0.568358	+	0.984425i	−0.0188929	+	0.0327234i
$906$	1.13719	+	10.8196i	0.0377805	+	0.359457i
$907$	17.4168	+	12.6541i	0.578317	+	0.420172i	0.838117	−	0.545491i	$-0.183657\pi$
$907$	17.4168	+	12.6541i	0.578317	+	0.420172i	−0.259800	+	0.965662i	$0.583657\pi$
$908$	−1.21388	+	11.5493i	−0.0402839	+	0.383275i
$909$	0.519659	−	0.577139i	0.0172360	−	0.0191425i
$910$	33.3933	+	14.8677i	1.10698	+	0.492858i
$911$	5.36767	+	1.14093i	0.177839	+	0.0378008i	0.295970	−	0.955197i	$-0.404357\pi$
$911$	5.36767	+	1.14093i	0.177839	+	0.0378008i	−0.118131	+	0.992998i	$0.537690\pi$
$912$	−9.48042	+	2.01513i	−0.313928	+	0.0667275i
$913$	−44.6031	+	19.8586i	−1.47615	+	0.657222i
$914$	−18.8925	+	58.1452i	−0.624909	+	1.92327i
$915$	4.57574	−	14.0827i	0.151269	−	0.465559i
$916$	7.43547	−	3.31048i	0.245675	−	0.109382i
$917$	−17.6618	+	3.75412i	−0.583242	+	0.123972i
$918$	−65.8677	−	14.0006i	−2.17396	−	0.462089i
$919$	−39.3196	−	17.5062i	−1.29703	−	0.577477i	−0.362048	−	0.932160i	$-0.617922\pi$
$919$	−39.3196	−	17.5062i	−1.29703	−	0.577477i	−0.934987	+	0.354683i	$0.884589\pi$
$920$	−3.23353	+	3.59120i	−0.106606	+	0.118398i
$921$	5.02652	−	47.8241i	0.165629	−	1.57586i
$922$	39.6529	+	28.8095i	1.30590	+	0.948791i
$923$	0.577508	+	5.49462i	0.0190089	+	0.180858i
$924$	33.6534	−	58.2895i	1.10712	−	1.91758i
$925$	−1.18290	−	2.04884i	−0.0388935	−	0.0673655i
$926$	−40.6654	+	29.5452i	−1.33635	+	0.970915i
$927$	−5.32737	−	5.91664i	−0.174974	−	0.194328i
$928$	−14.3463	−	44.1533i	−0.470940	−	1.44940i
$929$	1.87481			0.0615104			0.0307552	−	0.999527i	$-0.490209\pi$
$929$	1.87481			0.0615104			0.0307552	+	0.999527i	$0.490209\pi$
$930$	−6.93601	−	16.4077i	−0.227441	−	0.538030i
$931$	−4.48641			−0.147036
$932$	10.9536	+	33.7117i	0.358797	+	1.10426i
$933$	1.04287	+	1.15822i	0.0341420	+	0.0379185i
$934$	37.9187	−	27.5496i	1.24074	−	0.901449i
$935$	17.5478	+	30.3936i	0.573873	+	0.993977i
$936$	−1.50368	+	2.60446i	−0.0491495	+	0.0851294i
$937$	5.69083	+	54.1446i	0.185911	+	1.76883i	0.547803	+	0.836607i	$0.315464\pi$
$937$	5.69083	+	54.1446i	0.185911	+	1.76883i	−0.361892	+	0.932220i	$0.617869\pi$
$938$	−33.0899	−	24.0412i	−1.08042	−	0.784973i
$939$	0.283190	−	2.69437i	0.00924156	−	0.0879276i
$940$	−2.48552	+	2.76045i	−0.0810687	+	0.0900359i
$941$	−22.6214	−	10.0717i	−0.737438	−	0.328328i	0.00341667	−	0.999994i	$-0.498912\pi$
$941$	−22.6214	−	10.0717i	−0.737438	−	0.328328i	−0.740854	+	0.671666i	$0.765579\pi$
$942$	−29.4698	−	6.26401i	−0.960179	−	0.204092i
$943$	−5.54007	+	1.17758i	−0.180409	+	0.0383472i
$944$	−0.552041	+	0.245785i	−0.0179674	+	0.00799961i
$945$	5.24718	−	16.1492i	0.170691	−	0.525333i
$946$	16.8328	−	51.8059i	0.547280	−	1.68435i
$947$	13.1677	−	5.86266i	0.427894	−	0.190511i	−0.181478	−	0.983395i	$-0.558088\pi$
$947$	13.1677	−	5.86266i	0.427894	−	0.190511i	0.609372	+	0.792884i	$0.291421\pi$
$948$	34.3002	−	7.29073i	1.11402	−	0.236792i
$949$	−6.08127	−	1.29261i	−0.197406	−	0.0419600i
$950$	−3.90346	−	1.73793i	−0.126645	−	0.0563859i
$951$	−20.8407	+	23.1459i	−0.675805	+	0.750557i
$952$	1.43797	−	13.6814i	0.0466050	−	0.443417i
$953$	−23.2462	−	16.8894i	−0.753018	−	0.547100i	0.143743	−	0.989615i	$-0.454086\pi$
$953$	−23.2462	−	16.8894i	−0.753018	−	0.547100i	−0.896761	+	0.442515i	$0.854086\pi$
$954$	−0.416384	−	3.96163i	−0.0134809	−	0.128263i
$955$	−9.70293	+	16.8060i	−0.313979	+	0.543828i
$956$	8.91683	+	15.4444i	0.288391	+	0.499507i
$957$	43.4474	−	31.5664i	1.40446	−	1.02040i
$958$	31.0763	+	34.5137i	1.00403	+	1.11509i
$959$	−20.9375	−	64.4390i	−0.676107	−	2.08084i
$960$	16.3310			0.527082
$961$	−21.6003	+	22.2357i	−0.696785	+	0.717280i
$962$	−28.5161			−0.919397
$963$	0.746679	+	2.29804i	0.0240614	+	0.0740533i
$964$	−9.69876	−	10.7716i	−0.312376	−	0.346929i
$965$	−13.0783	+	9.50191i	−0.421004	+	0.305877i
$966$	−29.7074	−	51.4547i	−0.955820	−	1.65553i
$967$	−14.9726	+	25.9332i	−0.481485	+	0.833956i	−0.999774	−	0.0212492i	$-0.993236\pi$
$967$	−14.9726	+	25.9332i	−0.481485	+	0.833956i	0.518289	+	0.855205i	$0.326569\pi$
$968$	−2.16736	−	20.6211i	−0.0696617	−	0.662787i
$969$	−14.5242	−	10.5525i	−0.466586	−	0.338995i
$970$	0.529396	−	5.03687i	0.0169979	−	0.161724i
$971$	0.206211	−	0.229021i	0.00661763	−	0.00734963i	−0.739827	−	0.672797i	$-0.765093\pi$
$971$	0.206211	−	0.229021i	0.00661763	−	0.00734963i	0.746445	+	0.665448i	$0.231759\pi$
$972$	14.6336	+	6.51529i	0.469372	+	0.208978i
$973$	20.0809	+	4.26832i	0.643763	+	0.136836i
$974$	42.9257	−	9.12414i	1.37543	−	0.292356i
$975$	−8.04851	+	3.58343i	−0.257759	+	0.114762i
$976$	9.28584	−	28.5789i	0.297233	−	0.914788i
$977$	−8.44141	+	25.9800i	−0.270065	+	0.831173i	0.720419	+	0.693539i	$0.243950\pi$
$977$	−8.44141	+	25.9800i	−0.270065	+	0.831173i	−0.990483	+	0.137634i	$0.956050\pi$
$978$	−33.4270	+	14.8827i	−1.06888	+	0.475895i
$979$	63.8271	−	13.5669i	2.03992	−	0.433599i
$980$	5.10794	+	1.08573i	0.163167	+	0.0346822i
$981$	1.76387	+	0.785325i	0.0563160	+	0.0250735i
$982$	31.8766	−	35.4025i	1.01722	−	1.12974i
$983$	−1.53616	+	14.6156i	−0.0489960	+	0.466166i	0.942325	+	0.334700i	$0.108635\pi$
$983$	−1.53616	+	14.6156i	−0.0489960	+	0.466166i	−0.991321	+	0.131466i	$0.958032\pi$
$984$	−0.902997	−	0.656066i	−0.0287865	−	0.0209146i
$985$	−0.808766	−	7.69489i	−0.0257694	−	0.245180i
$986$	34.5891	−	59.9100i	1.10154	−	1.90792i
$987$	−3.62327	−	6.27568i	−0.115330	−	0.199757i
$988$	−22.6286	+	16.4406i	−0.719912	+	0.523046i
$989$	−17.4738	−	19.4066i	−0.555634	−	0.617094i
$990$	−2.61098	−	8.03577i	−0.0829824	−	0.255394i
$991$	23.9105			0.759542			0.379771	−	0.925081i	$-0.376003\pi$
$991$	23.9105			0.759542			0.379771	+	0.925081i	$0.376003\pi$
$992$	−17.4973	−	41.3913i	−0.555539	−	1.31417i
$993$	27.4833			0.872157
$994$	1.88020	+	5.78668i	0.0596365	+	0.183542i
$995$	−17.7549	−	19.7188i	−0.562867	−	0.625127i
$996$	−23.5190	+	17.0875i	−0.745227	+	0.541439i
$997$	−11.6392	−	20.1597i	−0.368618	−	0.638465i	0.620732	−	0.784023i	$-0.286836\pi$
$997$	−11.6392	−	20.1597i	−0.368618	−	0.638465i	−0.989350	+	0.145558i	$0.953502\pi$
$998$	−7.09357	+	12.2864i	−0.224543	+	0.388920i
$999$	1.38465	+	13.1741i	0.0438084	+	0.416809i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	155.2.q.a.51.5	✓	40
5.2	odd	4		775.2.ck.c.299.1		80
5.3	odd	4		775.2.ck.c.299.10		80
5.4	even	2		775.2.bl.c.51.1		40
31.13	odd	30		4805.2.a.y.1.17		20
31.14	even	15	inner	155.2.q.a.76.5	yes	40
31.18	even	15		4805.2.a.x.1.17		20
155.14	even	30		775.2.bl.c.76.1		40
155.107	odd	60		775.2.ck.c.324.10		80
155.138	odd	60		775.2.ck.c.324.1		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
155.2.q.a.51.5	✓	40	1.1	even	1	trivial
155.2.q.a.76.5	yes	40	31.14	even	15	inner
775.2.bl.c.51.1		40	5.4	even	2
775.2.bl.c.76.1		40	155.14	even	30
775.2.ck.c.299.1		80	5.2	odd	4
775.2.ck.c.299.10		80	5.3	odd	4
775.2.ck.c.324.1		80	155.138	odd	60
775.2.ck.c.324.10		80	155.107	odd	60
4805.2.a.x.1.17		20	31.18	even	15
4805.2.a.y.1.17		20	31.13	odd	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 155 = 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	155.q (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.646517 + 1.98977i) q^{2} +(1.02325 + 1.13643i) q^{3} +(-1.92319 + 1.39728i) q^{4} +(0.500000 + 0.866025i) q^{5} +(-1.59970 + 2.77076i) q^{6} +(-0.316994 - 3.01600i) q^{7} +(-0.638431 - 0.463847i) q^{8} +(0.0691433 - 0.657854i) q^{9} +(-1.39994 + 1.55479i) q^{10} +(-5.57748 - 2.48326i) q^{11} +(-3.55581 - 0.755811i) q^{12} +(5.63533 - 1.19783i) q^{13} +(5.79622 - 2.58064i) q^{14} +(-0.472556 + 1.45438i) q^{15} +(-0.958988 + 2.95146i) q^{16} +(-5.25138 + 2.33807i) q^{17} +(1.35368 - 0.287735i) q^{18} +(1.99768 + 0.424620i) q^{19} +(-2.17167 - 0.966890i) q^{20} +(3.10312 - 3.44636i) q^{21} +(1.33518 - 12.7034i) q^{22} +(-4.95413 - 3.59938i) q^{23} +(-0.126143 - 1.20017i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(6.02674 + 10.4386i) q^{26} +(4.52986 - 3.29114i) q^{27} +(4.82382 + 5.35740i) q^{28} +(1.77750 + 5.47059i) q^{29} -3.19940 q^{30} +(2.16791 + 5.12837i) q^{31} -8.07104 q^{32} +(-2.88510 - 8.87943i) q^{33} +(-8.04733 - 8.93747i) q^{34} +(2.45343 - 1.78252i) q^{35} +(0.786229 + 1.36179i) q^{36} +(-1.18290 + 2.04884i) q^{37} +(0.446636 + 4.24946i) q^{38} +(7.12760 + 5.17850i) q^{39} +(0.0824880 - 0.784821i) q^{40} +(0.618888 - 0.687345i) q^{41} +(8.86371 + 3.94638i) q^{42} +(4.17130 + 0.886637i) q^{43} +(14.1963 - 3.01752i) q^{44} +(0.604290 - 0.269047i) q^{45} +(3.95904 - 12.1847i) q^{46} +(0.482864 - 1.48610i) q^{47} +(-4.33543 + 1.93026i) q^{48} +(-2.14873 + 0.456727i) q^{49} +(-2.04645 - 0.434987i) q^{50} +(-8.03053 - 3.57542i) q^{51} +(-9.16409 + 10.1778i) q^{52} +(0.300872 - 2.86260i) q^{53} +(9.47725 + 6.88563i) q^{54} +(-0.638179 - 6.07187i) q^{55} +(-1.19658 + 2.07254i) q^{56} +(1.56157 + 2.70472i) q^{57} +(-9.73605 + 7.07365i) q^{58} +(0.130293 + 0.144705i) q^{59} +(-1.12335 - 3.45733i) q^{60} -9.68296 q^{61} +(-8.80271 + 7.62923i) q^{62} -2.00601 q^{63} +(-3.30009 - 10.1566i) q^{64} +(3.85501 + 4.28142i) q^{65} +(15.8028 - 11.4814i) q^{66} +(-3.22324 - 5.58282i) q^{67} +(6.83246 - 11.8342i) q^{68} +(-0.978847 - 9.31310i) q^{69} +(5.13301 + 3.72935i) q^{70} +(-0.100240 + 0.953724i) q^{71} +(-0.349287 + 0.387923i) q^{72} +(-0.985838 - 0.438923i) q^{73} +(-4.84150 - 1.02909i) q^{74} +(-1.49581 + 0.317943i) q^{75} +(-4.43522 + 1.97469i) q^{76} +(-5.72147 + 17.6089i) q^{77} +(-5.69594 + 17.5303i) q^{78} +(-8.81227 + 3.92348i) q^{79} +(-3.03554 + 0.645223i) q^{80} +(6.43427 + 1.36765i) q^{81} +(1.76778 + 0.787068i) q^{82} +(5.35103 - 5.94292i) q^{83} +(-1.15235 + 10.9639i) q^{84} +(-4.65052 - 3.37880i) q^{85} +(0.932608 + 8.87317i) q^{86} +(-4.39813 + 7.61779i) q^{87} +(2.40899 + 4.17249i) q^{88} +(-8.64669 + 6.28219i) q^{89} +(0.926028 + 1.02846i) q^{90} +(-5.39901 - 16.6164i) q^{91} +14.5570 q^{92} +(-3.60974 + 7.71129i) q^{93} +3.26919 q^{94} +(0.631108 + 1.94235i) q^{95} +(-8.25869 - 9.17220i) q^{96} +(-1.95842 + 1.42288i) q^{97} +(-2.29797 - 3.98021i) q^{98} +(-2.01927 + 3.49747i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q - 2 q^{2} - q^{3} - 10 q^{4} + 20 q^{5} + 4 q^{6} + 4 q^{7} + 13 q^{8} + 2 q^{9} - q^{10} - 28 q^{11} - 13 q^{12} - 6 q^{13} - 6 q^{14} - 2 q^{15} + 8 q^{16} - 10 q^{17} - 27 q^{18} - 13 q^{19} - 5 q^{20}+ \cdots + 53 q^{99}+O(q^{100}) \) 40 * q - 2 * q^2 - q^3 - 10 * q^4 + 20 * q^5 + 4 * q^6 + 4 * q^7 + 13 * q^8 + 2 * q^9 - q^10 - 28 * q^11 - 13 * q^12 - 6 * q^13 - 6 * q^14 - 2 * q^15 + 8 * q^16 - 10 * q^17 - 27 * q^18 - 13 * q^19 - 5 * q^20 - 8 * q^21 + 2 * q^22 - 12 * q^23 - 82 * q^24 - 20 * q^25 + 32 * q^26 - q^27 + 22 * q^28 + 42 * q^29 + 8 * q^30 - 10 * q^31 + 4 * q^32 + 13 * q^33 + 32 * q^34 + 8 * q^35 - 13 * q^36 + 12 * q^37 + 30 * q^38 + 37 * q^39 + 44 * q^40 + 36 * q^41 - 64 * q^42 - 78 * q^43 - 56 * q^44 - 2 * q^45 + 18 * q^46 - 4 * q^47 - 41 * q^48 - 31 * q^49 + q^50 - 2 * q^51 + 49 * q^52 - 11 * q^53 + 22 * q^54 - 17 * q^55 + 9 * q^56 + 38 * q^57 + 11 * q^58 - q^59 - 11 * q^60 - 100 * q^61 - 35 * q^62 + 110 * q^63 + 17 * q^64 + 6 * q^65 - 40 * q^66 + 30 * q^67 - 34 * q^68 + 8 * q^69 + 18 * q^70 - 2 * q^71 + 151 * q^72 - 23 * q^73 - 2 * q^74 - q^75 + 2 * q^76 + 36 * q^77 - 2 * q^78 - 67 * q^79 - 41 * q^80 - 83 * q^81 + 2 * q^82 + 26 * q^84 - 5 * q^85 - 5 * q^86 - 46 * q^87 + 70 * q^88 + 20 * q^89 - 33 * q^90 + 19 * q^91 - 10 * q^92 - 67 * q^93 + 130 * q^94 + 4 * q^95 + 46 * q^96 - 18 * q^97 - 65 * q^98 + 53 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more