LMFDB - Embedded newform 260.2.p.d.103.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(103,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(4))

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

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

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

chi := DirichletCharacter("260.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.p (of order $4$, degree $2$, 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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$32$ over $\Q(i)$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label			103.1
Character	$\chi$	$=$	260.103
Dual form			260.2.p.d.207.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41384 - 0.0324895i) q^{2} +(-2.32949 + 2.32949i) q^{3} +(1.99789 + 0.0918700i) q^{4} +(2.23599 + 0.0191440i) q^{5} +(3.36921 - 3.21784i) q^{6} +(1.97121 - 1.97121i) q^{7} +(-2.82171 - 0.194800i) q^{8} -7.85303i q^{9} +O(q^{10})$	\(q+(-1.41384 - 0.0324895i) q^{2} +(-2.32949 + 2.32949i) q^{3} +(1.99789 + 0.0918700i) q^{4} +(2.23599 + 0.0191440i) q^{5} +(3.36921 - 3.21784i) q^{6} +(1.97121 - 1.97121i) q^{7} +(-2.82171 - 0.194800i) q^{8} -7.85303i q^{9} +(-3.16071 - 0.0997126i) q^{10} +2.76564 q^{11} +(-4.86807 + 4.44005i) q^{12} +(3.56433 + 0.543628i) q^{13} +(-2.85102 + 2.72293i) q^{14} +(-5.25330 + 5.16411i) q^{15} +(3.98312 + 0.367092i) q^{16} +(-1.79865 + 1.79865i) q^{17} +(-0.255141 + 11.1029i) q^{18} -2.06756i q^{19} +(4.46549 + 0.243668i) q^{20} +9.18381i q^{21} +(-3.91017 - 0.0898542i) q^{22} +(1.07900 - 1.07900i) q^{23} +(7.02693 - 6.11936i) q^{24} +(4.99927 + 0.0856113i) q^{25} +(-5.02174 - 0.884407i) q^{26} +(11.3051 + 11.3051i) q^{27} +(4.11935 - 3.75716i) q^{28} +7.19247i q^{29} +(7.59511 - 7.13055i) q^{30} -2.08767 q^{31} +(-5.61957 - 0.648419i) q^{32} +(-6.44252 + 6.44252i) q^{33} +(2.60144 - 2.48457i) q^{34} +(4.44533 - 4.36986i) q^{35} +(0.721458 - 15.6895i) q^{36} +(-2.10529 - 2.10529i) q^{37} +(-0.0671739 + 2.92320i) q^{38} +(-9.56945 + 7.03670i) q^{39} +(-6.30558 - 0.489589i) q^{40} -2.07353i q^{41} +(0.298378 - 12.9844i) q^{42} +(1.37442 - 1.37442i) q^{43} +(5.52543 + 0.254079i) q^{44} +(0.150338 - 17.5593i) q^{45} +(-1.56059 + 1.49048i) q^{46} +(-3.03509 + 3.03509i) q^{47} +(-10.1338 + 8.42350i) q^{48} -0.771320i q^{49} +(-7.06538 - 0.283465i) q^{50} -8.37988i q^{51} +(7.07120 + 1.41356i) q^{52} +(-4.80760 - 4.80760i) q^{53} +(-15.6163 - 16.3509i) q^{54} +(6.18392 + 0.0529453i) q^{55} +(-5.94617 + 5.17819i) q^{56} +(4.81635 + 4.81635i) q^{57} +(0.233680 - 10.1690i) q^{58} +9.65260i q^{59} +(-10.9699 + 9.83469i) q^{60} +6.83718 q^{61} +(2.95163 + 0.0678274i) q^{62} +(-15.4800 - 15.4800i) q^{63} +(7.92411 + 1.09934i) q^{64} +(7.95939 + 1.28378i) q^{65} +(9.31801 - 8.89938i) q^{66} +(10.5309 - 10.5309i) q^{67} +(-3.75875 + 3.42827i) q^{68} +5.02705i q^{69} +(-6.42696 + 6.03385i) q^{70} -3.76638 q^{71} +(-1.52977 + 22.1590i) q^{72} +(0.228478 - 0.228478i) q^{73} +(2.90815 + 3.04495i) q^{74} +(-11.8452 + 11.4463i) q^{75} +(0.189946 - 4.13075i) q^{76} +(5.45164 - 5.45164i) q^{77} +(13.7583 - 9.63786i) q^{78} -3.36550 q^{79} +(8.89917 + 0.897065i) q^{80} -29.1110 q^{81} +(-0.0673679 + 2.93164i) q^{82} +(2.38904 + 2.38904i) q^{83} +(-0.843717 + 18.3482i) q^{84} +(-4.05619 + 3.98733i) q^{85} +(-1.98786 + 1.89855i) q^{86} +(-16.7548 - 16.7548i) q^{87} +(-7.80383 - 0.538746i) q^{88} +3.39594 q^{89} +(-0.783047 + 24.8211i) q^{90} +(8.09764 - 5.95444i) q^{91} +(2.25486 - 2.05660i) q^{92} +(4.86321 - 4.86321i) q^{93} +(4.38974 - 4.19252i) q^{94} +(0.0395813 - 4.62303i) q^{95} +(14.6012 - 11.5802i) q^{96} +(5.33246 + 5.33246i) q^{97} +(-0.0250598 + 1.09052i) q^{98} -21.7186i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q+O(q^{10}) $ 64 * q	$ 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) $ 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−1.41384	−	0.0324895i	−0.999736	−	0.0229736i
$2$	−1.41384	−	0.0324895i	−0.999736	−	0.0229736i
$3$	−2.32949	+	2.32949i	−1.34493	+	1.34493i	−0.453856	+	0.891075i	$0.649952\pi$
$3$	−2.32949	+	2.32949i	−1.34493	+	1.34493i	−0.891075	+	0.453856i	$0.850048\pi$
$4$	1.99789	+	0.0918700i	0.998944	+	0.0459350i
$5$	2.23599	+	0.0191440i	0.999963	+	0.00856145i
$5$	2.23599	+	0.0191440i	0.999963	+	0.00856145i
$6$	3.36921	−	3.21784i	1.37547	−	1.31368i
$7$	1.97121	−	1.97121i	0.745047	−	0.745047i	−0.228498	−	0.973544i	$-0.573381\pi$
$7$	1.97121	−	1.97121i	0.745047	−	0.745047i	0.973544	+	0.228498i	$0.0733814\pi$
$8$	−2.82171	−	0.194800i	−0.997625	−	0.0688722i
$9$		−	7.85303i		−	2.61768i
$10$	−3.16071	−	0.0997126i	−0.999503	−	0.0315319i
$11$	2.76564			0.833871			0.416935	−	0.908936i	$-0.363104\pi$
$11$	2.76564			0.833871			0.416935	+	0.908936i	$0.363104\pi$
$12$	−4.86807	+	4.44005i	−1.40529	+	1.28173i
$13$	3.56433	+	0.543628i	0.988568	+	0.150775i
$13$	3.56433	+	0.543628i	0.988568	+	0.150775i
$14$	−2.85102	+	2.72293i	−0.761966	+	0.727734i
$15$	−5.25330	+	5.16411i	−1.35640	+	1.33337i
$16$	3.98312	+	0.367092i	0.995780	+	0.0917730i
$17$	−1.79865	+	1.79865i	−0.436237	+	0.436237i	−0.890744	−	0.454506i	$-0.849816\pi$
$17$	−1.79865	+	1.79865i	−0.436237	+	0.436237i	0.454506	+	0.890744i	$0.349816\pi$
$18$	−0.255141	+	11.1029i	−0.0601374	+	2.61699i
$19$		−	2.06756i		−	0.474330i	−0.971469	−	0.237165i	$-0.923782\pi$
$19$		−	2.06756i		−	0.474330i	0.971469	−	0.237165i	$-0.0762182\pi$
$20$	4.46549	+	0.243668i	0.998515	+	0.0544857i
$21$			9.18381i			2.00407i
$22$	−3.91017	−	0.0898542i	−0.833651	−	0.0191570i
$23$	1.07900	−	1.07900i	0.224988	−	0.224988i	−0.585607	−	0.810595i	$-0.699144\pi$
$23$	1.07900	−	1.07900i	0.224988	−	0.224988i	0.810595	+	0.585607i	$0.199144\pi$
$24$	7.02693	−	6.11936i	1.43437	−	1.24911i
$25$	4.99927	+	0.0856113i	0.999853	+	0.0171223i
$26$	−5.02174	−	0.884407i	−0.984843	−	0.173446i
$27$	11.3051	+	11.3051i	2.17567	+	2.17567i
$28$	4.11935	−	3.75716i	0.778484	−	0.710036i
$29$			7.19247i			1.33561i	0.744337	+	0.667804i	$0.232766\pi$
$29$			7.19247i			1.33561i	−0.744337	+	0.667804i	$0.767234\pi$
$30$	7.59511	−	7.13055i	1.38667	−	1.30185i
$31$	−2.08767			−0.374957			−0.187478	−	0.982269i	$-0.560031\pi$
$31$	−2.08767			−0.374957			−0.187478	+	0.982269i	$0.560031\pi$
$32$	−5.61957	−	0.648419i	−0.993409	−	0.114625i
$33$	−6.44252	+	6.44252i	−1.12150	+	1.12150i
$34$	2.60144	−	2.48457i	0.446144	−	0.426100i
$35$	4.44533	−	4.36986i	0.751398	−	0.738641i
$36$	0.721458	−	15.6895i	0.120243	−	2.61491i
$37$	−2.10529	−	2.10529i	−0.346108	−	0.346108i	0.512549	−	0.858658i	$-0.328701\pi$
$37$	−2.10529	−	2.10529i	−0.346108	−	0.346108i	−0.858658	+	0.512549i	$0.828701\pi$
$38$	−0.0671739	+	2.92320i	−0.0108971	+	0.474205i
$39$	−9.56945	+	7.03670i	−1.53234	+	1.12677i
$40$	−6.30558	−	0.489589i	−0.996999	−	0.0774108i
$41$		−	2.07353i		−	0.323831i	−0.986805	−	0.161915i	$-0.948233\pi$
$41$		−	2.07353i		−	0.323831i	0.986805	−	0.161915i	$-0.0517671\pi$
$42$	0.298378	−	12.9844i	0.0460407	−	2.00354i
$43$	1.37442	−	1.37442i	0.209596	−	0.209596i	−0.594500	−	0.804096i	$-0.702650\pi$
$43$	1.37442	−	1.37442i	0.209596	−	0.209596i	0.804096	+	0.594500i	$0.202650\pi$
$44$	5.52543	+	0.254079i	0.832991	+	0.0383038i
$45$	0.150338	−	17.5593i	0.0224111	−	2.61758i
$46$	−1.56059	+	1.49048i	−0.230097	+	0.219760i
$47$	−3.03509	+	3.03509i	−0.442713	+	0.442713i	−0.892923	−	0.450210i	$-0.851349\pi$
$47$	−3.03509	+	3.03509i	−0.442713	+	0.442713i	0.450210	+	0.892923i	$0.351349\pi$
$48$	−10.1338	+	8.42350i	−1.46268	+	1.21583i
$49$		−	0.771320i		−	0.110189i
$50$	−7.06538	−	0.283465i	−0.999196	−	0.0400879i
$51$		−	8.37988i		−	1.17342i
$52$	7.07120	+	1.41356i	0.980599	+	0.196026i
$53$	−4.80760	−	4.80760i	−0.660375	−	0.660375i	0.295093	−	0.955468i	$-0.404649\pi$
$53$	−4.80760	−	4.80760i	−0.660375	−	0.660375i	−0.955468	+	0.295093i	$0.904649\pi$
$54$	−15.6163	−	16.3509i	−2.12511	−	2.22507i
$55$	6.18392	+	0.0529453i	0.833840	+	0.00713914i
$56$	−5.94617	+	5.17819i	−0.794590	+	0.691964i
$57$	4.81635	+	4.81635i	0.637941	+	0.637941i
$58$	0.233680	−	10.1690i	0.0306837	−	1.33526i
$59$			9.65260i			1.25666i	0.777947	+	0.628330i	$0.216261\pi$
$59$			9.65260i			1.25666i	−0.777947	+	0.628330i	$0.783739\pi$
$60$	−10.9699	+	9.83469i	−1.41621	+	1.26965i
$61$	6.83718			0.875412			0.437706	−	0.899118i	$-0.355791\pi$
$61$	6.83718			0.875412			0.437706	+	0.899118i	$0.355791\pi$
$62$	2.95163	+	0.0678274i	0.374858	+	0.00861409i
$63$	−15.4800	−	15.4800i	−1.95029	−	1.95029i
$64$	7.92411	+	1.09934i	0.990513	+	0.137417i
$65$	7.95939	+	1.28378i	0.987241	+	0.159233i
$66$	9.31801	−	8.89938i	1.14697	−	1.09544i
$67$	10.5309	−	10.5309i	1.28656	−	1.28656i	0.349695	−	0.936864i	$-0.386285\pi$
$67$	10.5309	−	10.5309i	1.28656	−	1.28656i	0.936864	−	0.349695i	$-0.113715\pi$
$68$	−3.75875	+	3.42827i	−0.455815	+	0.415738i
$69$			5.02705i			0.605186i
$70$	−6.42696	+	6.03385i	−0.768169	+	0.721183i
$71$	−3.76638			−0.446987			−0.223493	−	0.974705i	$-0.571746\pi$
$71$	−3.76638			−0.446987			−0.223493	+	0.974705i	$0.571746\pi$
$72$	−1.52977	+	22.1590i	−0.180285	+	2.61146i
$73$	0.228478	−	0.228478i	0.0267413	−	0.0267413i	−0.693610	−	0.720351i	$-0.743981\pi$
$73$	0.228478	−	0.228478i	0.0267413	−	0.0267413i	0.720351	+	0.693610i	$0.243981\pi$
$74$	2.90815	+	3.04495i	0.338066	+	0.353968i
$75$	−11.8452	+	11.4463i	−1.36776	+	1.32171i
$76$	0.189946	−	4.13075i	0.0217884	−	0.473830i
$77$	5.45164	−	5.45164i	0.621273	−	0.621273i
$78$	13.7583	−	9.63786i	1.55782	−	1.09127i
$79$	−3.36550			−0.378648			−0.189324	−	0.981915i	$-0.560630\pi$
$79$	−3.36550			−0.378648			−0.189324	+	0.981915i	$0.560630\pi$
$80$	8.89917	+	0.897065i	0.994958	+	0.100295i
$81$	−29.1110			−3.23456
$82$	−0.0673679	+	2.93164i	−0.00743954	+	0.323745i
$83$	2.38904	+	2.38904i	0.262232	+	0.262232i	0.825960	−	0.563729i	$-0.190634\pi$
$83$	2.38904	+	2.38904i	0.262232	+	0.262232i	−0.563729	+	0.825960i	$0.690634\pi$
$84$	−0.843717	+	18.3482i	−0.0920570	+	2.00196i
$85$	−4.05619	+	3.98733i	−0.439956	+	0.432486i
$86$	−1.98786	+	1.89855i	−0.214356	+	0.204726i
$87$	−16.7548	−	16.7548i	−1.79630	−	1.79630i
$88$	−7.80383	−	0.538746i	−0.831891	−	0.0574305i
$89$	3.39594			0.359969			0.179985	−	0.983669i	$-0.442395\pi$
$89$	3.39594			0.359969			0.179985	+	0.983669i	$0.442395\pi$
$90$	−0.783047	+	24.8211i	−0.0825404	+	2.61638i
$91$	8.09764	−	5.95444i	0.848864	−	0.624195i
$92$	2.25486	−	2.05660i	0.235085	−	0.214415i
$93$	4.86321	−	4.86321i	0.504291	−	0.504291i
$94$	4.38974	−	4.19252i	0.452767	−	0.432426i
$95$	0.0395813	−	4.62303i	0.00406095	−	0.474313i
$96$	14.6012	−	11.5802i	1.49023	−	1.18190i
$97$	5.33246	+	5.33246i	0.541430	+	0.541430i	0.923948	−	0.382518i	$-0.124943\pi$
$97$	5.33246	+	5.33246i	0.541430	+	0.541430i	−0.382518	+	0.923948i	$0.624943\pi$
$98$	−0.0250598	+	1.09052i	−0.00253142	+	0.110160i
$99$		−	21.7186i		−	2.18281i
$100$	9.98011	+	0.630324i	0.998011	+	0.0630324i
$101$	2.70868			0.269524			0.134762	−	0.990878i	$-0.456973\pi$
$101$	2.70868			0.269524			0.134762	+	0.990878i	$0.456973\pi$
$102$	−0.272258	+	11.8478i	−0.0269576	+	1.17311i
$103$	2.34247	−	2.34247i	0.230810	−	0.230810i	−0.582221	−	0.813031i	$-0.697816\pi$
$103$	2.34247	−	2.34247i	0.230810	−	0.230810i	0.813031	+	0.582221i	$0.197816\pi$
$104$	−9.95162	−	2.22829i	−0.975836	−	0.218502i
$105$	−0.175815	+	20.5349i	−0.0171578	+	2.00400i
$106$	6.64098	+	6.95338i	0.645029	+	0.675372i
$107$	4.03232	+	4.03232i	0.389819	+	0.389819i	0.874623	−	0.484804i	$-0.161109\pi$
$107$	4.03232	+	4.03232i	0.389819	+	0.389819i	−0.484804	+	0.874623i	$0.661109\pi$
$108$	21.5477	+	23.6249i	2.07343	+	2.27331i
$109$	−13.2900			−1.27295			−0.636477	−	0.771296i	$-0.719609\pi$
$109$	−13.2900			−1.27295			−0.636477	+	0.771296i	$0.719609\pi$
$110$	−8.74136	−	0.275769i	−0.833456	−	0.0262935i
$111$	9.80852			0.930984
$112$	8.57517	−	7.12794i	0.810278	−	0.673527i
$113$	−8.26021	−	8.26021i	−0.777055	−	0.777055i	0.202274	−	0.979329i	$-0.435167\pi$
$113$	−8.26021	−	8.26021i	−0.777055	−	0.777055i	−0.979329	+	0.202274i	$0.935167\pi$
$114$	−6.65307	−	6.96603i	−0.623117	−	0.652429i
$115$	2.43329	−	2.39198i	0.226906	−	0.223053i
$116$	−0.660772	+	14.3698i	−0.0613511	+	1.33420i
$117$	4.26913	−	27.9908i	0.394681	−	2.58775i
$118$	0.313608	−	13.6472i	0.0288700	−	1.25633i
$119$			7.09103i			0.650034i
$120$	15.8293	−	13.5483i	1.44501	−	1.23678i
$121$	−3.35125			−0.304659
$122$	−9.66669	−	0.222137i	−0.875181	−	0.0201113i
$123$	4.83026	+	4.83026i	0.435530	+	0.435530i
$124$	−4.17094	−	0.191794i	−0.374561	−	0.0172236i
$125$	11.1767	+	0.287132i	0.999670	+	0.0256818i
$126$	21.3833	+	22.3891i	1.90497	+	1.99458i
$127$	11.0132	+	11.0132i	0.977260	+	0.977260i	0.999747	−	0.0224874i	$-0.00715855\pi$
$127$	11.0132	+	11.0132i	0.977260	+	0.977260i	−0.0224874	+	0.999747i	$0.507159\pi$
$128$	−11.1677	−	1.81174i	−0.987095	−	0.160137i
$129$			6.40337i			0.563785i
$130$	−11.2116	−	2.07366i	−0.983322	−	0.181872i
$131$		−	0.116373i		−	0.0101676i	−0.999987	−	0.00508378i	$-0.998382\pi$
$131$		−	0.116373i		−	0.0101676i	0.999987	−	0.00508378i	$-0.00161822\pi$
$132$	−13.4633	+	12.2796i	−1.17183	+	1.06880i
$133$	−4.07559	−	4.07559i	−0.353398	−	0.353398i
$134$	−15.2312	+	14.5469i	−1.31578	+	1.25666i
$135$	25.0616	+	25.4944i	2.15696	+	2.19421i
$136$	5.42565	−	4.72490i	0.465246	−	0.405157i
$137$	−11.3786	−	11.3786i	−0.972143	−	0.972143i	0.0274794	−	0.999622i	$-0.491252\pi$
$137$	−11.3786	−	11.3786i	−0.972143	−	0.972143i	−0.999622	+	0.0274794i	$0.991252\pi$
$138$	0.163326	−	7.10745i	0.0139033	−	0.605026i
$139$	−13.9762			−1.18545			−0.592725	−	0.805405i	$-0.701948\pi$
$139$	−13.9762			−1.18545			−0.592725	+	0.805405i	$0.701948\pi$
$140$	9.28273	−	8.32209i	0.784534	−	0.703345i
$141$		−	14.1404i		−	1.19084i
$142$	5.32506	+	0.122368i	0.446869	+	0.0102689i
$143$	9.85765	+	1.50348i	0.824338	+	0.125727i
$144$	2.88279	−	31.2796i	0.240232	−	2.60663i
$145$	−0.137692	+	16.0823i	−0.0114347	+	1.33556i
$146$	−0.330454	+	0.315608i	−0.0273486	+	0.0261199i
$147$	1.79678	+	1.79678i	0.148196	+	0.148196i
$148$	−4.01273	−	4.39956i	−0.329845	−	0.361641i
$149$	−10.9656			−0.898337			−0.449169	−	0.893447i	$-0.648280\pi$
$149$	−10.9656			−0.898337			−0.449169	+	0.893447i	$0.648280\pi$
$150$	17.1191	−	15.7984i	1.39777	−	1.28993i
$151$	−17.6591			−1.43708			−0.718540	−	0.695486i	$-0.755189\pi$
$151$	−17.6591			−1.43708			−0.718540	+	0.695486i	$0.755189\pi$
$152$	−0.402760	+	5.83405i	−0.0326682	+	0.473204i
$153$	14.1249	+	14.1249i	1.14193	+	1.14193i
$154$	−7.88488	+	7.53063i	−0.635381	+	0.606836i
$155$	−4.66800	−	0.0399663i	−0.374943	−	0.00321017i
$156$	−19.7652	+	13.1794i	−1.58248	+	1.05520i
$157$	−13.6301	+	13.6301i	−1.08780	+	1.08780i	−0.0920491	+	0.995754i	$0.529342\pi$
$157$	−13.6301	+	13.6301i	−1.08780	+	1.08780i	−0.995754	+	0.0920491i	$0.970658\pi$
$158$	4.75828	+	0.109344i	0.378549	+	0.00869890i
$159$	22.3985			1.77632
$160$	−12.5529	−	1.55744i	−0.992391	−	0.123126i
$161$		−	4.25388i		−	0.335253i
$162$	41.1584	+	0.945804i	3.23371	+	0.0743094i
$163$	−4.50085	−	4.50085i	−0.352534	−	0.352534i	0.508518	−	0.861052i	$-0.330194\pi$
$163$	−4.50085	−	4.50085i	−0.352534	−	0.352534i	−0.861052	+	0.508518i	$0.830194\pi$
$164$	0.190495	−	4.14268i	0.0148752	−	0.323489i
$165$	−14.5287	+	14.2820i	−1.13106	+	1.11186i
$166$	−3.30011	−	3.45535i	−0.256138	−	0.268187i
$167$	7.06397	−	7.06397i	0.546626	−	0.546626i	−0.378837	−	0.925463i	$-0.623676\pi$
$167$	7.06397	−	7.06397i	0.546626	−	0.546626i	0.925463	+	0.378837i	$0.123676\pi$
$168$	1.78901	−	25.9141i	0.138025	−	1.99931i
$169$	12.4089	+	3.87534i	0.954534	+	0.298103i
$170$	5.86436	−	5.50566i	0.449776	−	0.422265i
$171$	−16.2366			−1.24164
$172$	2.87220	−	2.61966i	0.219003	−	0.199747i
$173$	2.54024	+	2.54024i	0.193131	+	0.193131i	0.797047	−	0.603917i	$-0.206394\pi$
$173$	2.54024	+	2.54024i	0.193131	+	0.193131i	−0.603917	+	0.797047i	$0.706394\pi$
$174$	23.1442	+	24.2329i	1.75456	+	1.83709i
$175$	10.0234	−	9.68584i	0.757694	−	0.732180i
$176$	11.0159	+	1.01524i	0.830352	+	0.0765268i
$177$	−22.4856	−	22.4856i	−1.69012	−	1.69012i
$178$	−4.80132	−	0.110333i	−0.359874	−	0.00826978i
$179$	−0.176655			−0.0132038			−0.00660192	−	0.999978i	$-0.502101\pi$
$179$	−0.176655			−0.0132038			−0.00660192	+	0.999978i	$0.502101\pi$
$180$	1.91353	−	35.0677i	0.142626	−	2.61379i
$181$	13.6105			1.01166			0.505828	−	0.862634i	$-0.331187\pi$
$181$	13.6105			1.01166			0.505828	+	0.862634i	$0.331187\pi$
$182$	−11.6422	+	8.15553i	−0.862980	+	0.604528i
$183$	−15.9271	+	15.9271i	−1.17737	+	1.17737i
$184$	−3.25482	+	2.83444i	−0.239949	+	0.208958i
$185$	−4.66711	−	4.74771i	−0.343132	−	0.349059i
$186$	−7.03380	+	6.71779i	−0.515743	+	0.492573i
$187$	−4.97442	+	4.97442i	−0.363765	+	0.363765i
$188$	−6.34261	+	5.78494i	−0.462582	+	0.421910i
$189$	44.5694			3.24194
$190$	−0.206162	+	6.53494i	−0.0149565	+	0.474094i
$191$		−	13.9159i		−	1.00692i	−0.864020	−	0.503458i	$-0.832061\pi$
$191$		−	13.9159i		−	1.00692i	0.864020	−	0.503458i	$-0.167939\pi$
$192$	−21.0200	+	15.8982i	−1.51699	+	1.14736i
$193$	−17.4956	+	17.4956i	−1.25936	+	1.25936i	−0.307964	+	0.951398i	$0.599648\pi$
$193$	−17.4956	+	17.4956i	−1.25936	+	1.25936i	−0.951398	+	0.307964i	$0.900352\pi$
$194$	−7.36600	−	7.71250i	−0.528848	−	0.553725i
$195$	−21.5319	+	15.5508i	−1.54193	+	1.11361i
$196$	0.0708612	−	1.54101i	0.00506151	−	0.110072i
$197$	1.46918	+	1.46918i	0.104675	+	0.104675i	0.757505	−	0.652830i	$-0.226418\pi$
$197$	1.46918	+	1.46918i	0.104675	+	0.104675i	−0.652830	+	0.757505i	$0.726418\pi$
$198$	−0.705628	+	30.7067i	−0.0501468	+	2.18223i
$199$	12.6116			0.894010			0.447005	−	0.894531i	$-0.352491\pi$
$199$	12.6116			0.894010			0.447005	+	0.894531i	$0.352491\pi$
$200$	−14.0898	−	1.21543i	−0.996300	−	0.0859437i
$201$			49.0634i			3.46066i
$202$	−3.82964	−	0.0880037i	−0.269453	−	0.00619192i
$203$	14.1778	+	14.1778i	0.995090	+	0.995090i
$204$	0.769859	−	16.7421i	0.0539009	−	1.17218i
$205$	0.0396956	−	4.63638i	0.00277246	−	0.323819i
$206$	−3.38798	+	3.23577i	−0.236052	+	0.225447i
$207$	−8.47345	−	8.47345i	−0.588945	−	0.588945i
$208$	13.9976	+	3.47377i	0.970559	+	0.240863i
$209$		−	5.71811i		−	0.395530i
$210$	0.915742	−	29.0273i	0.0631922	−	2.00308i
$211$		−	1.88981i		−	0.130100i	−0.997882	−	0.0650498i	$-0.979279\pi$
$211$		−	1.88981i		−	0.130100i	0.997882	−	0.0650498i	$-0.0207206\pi$
$212$	−9.16338	−	10.0467i	−0.629344	−	0.690012i
$213$	8.77373	−	8.77373i	0.601166	−	0.601166i
$214$	−5.57005	−	5.83206i	−0.380760	−	0.398671i
$215$	3.09949	−	3.04686i	0.211383	−	0.207794i
$216$	−29.6975	−	34.1019i	−2.02066	−	2.32034i
$217$	−4.11523	+	4.11523i	−0.279360	+	0.279360i
$218$	18.7900	+	0.431787i	1.27262	+	0.0292443i
$219$			1.06447i			0.0719305i
$220$	12.3499	+	0.673896i	0.832632	+	0.0454340i
$221$	−7.38879	+	5.43320i	−0.497024	+	0.365476i
$222$	−13.8677	−	0.318674i	−0.930738	−	0.0213880i
$223$	−16.9564	−	16.9564i	−1.13548	−	1.13548i	−0.989250	−	0.146235i	$-0.953285\pi$
$223$	−16.9564	−	16.9564i	−1.13548	−	1.13548i	−0.146235	−	0.989250i	$-0.546715\pi$
$224$	−12.3555	+	9.79917i	−0.825537	+	0.654735i
$225$	0.672309	−	39.2594i	0.0448206	−	2.61729i
$226$	11.4102	+	11.9470i	0.758998	+	0.794702i
$227$	−11.9034	+	11.9034i	−0.790053	+	0.790053i	−0.981502	−	0.191449i	$-0.938681\pi$
$227$	−11.9034	+	11.9034i	−0.790053	+	0.790053i	0.191449	+	0.981502i	$0.438681\pi$
$228$	9.18006	+	10.0650i	0.607964	+	0.666572i
$229$	11.3479			0.749888			0.374944	−	0.927048i	$-0.377662\pi$
$229$	11.3479			0.749888			0.374944	+	0.927048i	$0.377662\pi$
$230$	−3.51800	+	3.30282i	−0.231970	+	0.217781i
$231$			25.3991i			1.67114i
$232$	1.40109	−	20.2951i	0.0919862	−	1.33244i
$233$	−13.9055	−	13.9055i	−0.910979	−	0.910979i	0.0853703	−	0.996349i	$-0.472793\pi$
$233$	−13.9055	−	13.9055i	−0.910979	−	0.910979i	−0.996349	+	0.0853703i	$0.972793\pi$
$234$	−6.94528	+	39.4359i	−0.454027	+	2.57800i
$235$	−6.84452	+	6.72832i	−0.446487	+	0.438907i
$236$	−0.886784	+	19.2848i	−0.0577247	+	1.25533i
$237$	7.83990	−	7.83990i	0.509256	−	0.509256i
$238$	0.230384	−	10.0256i	0.0149336	−	0.649862i
$239$		−	14.6554i		−	0.947981i	−0.880530	−	0.473991i	$-0.842813\pi$
$239$		−	14.6554i		−	0.947981i	0.880530	−	0.473991i	$-0.157187\pi$
$240$	−22.8202	+	18.6408i	−1.47304	+	1.20326i
$241$		−	21.9420i		−	1.41341i	−0.707511	−	0.706703i	$-0.750182\pi$
$241$		−	21.9420i		−	1.41341i	0.707511	−	0.706703i	$-0.249818\pi$
$242$	4.73814	+	0.108881i	0.304579	+	0.00699911i
$243$	33.8986	−	33.8986i	2.17460	−	2.17460i
$244$	13.6599	+	0.628132i	0.874488	+	0.0402120i
$245$	0.0147661	−	1.72466i	0.000943374	−	0.110185i
$246$	−6.67228	−	6.98615i	−0.425409	−	0.445421i
$247$	1.12398	−	7.36946i	0.0715173	−	0.468908i
$248$	5.89081	+	0.406678i	0.374066	+	0.0258241i
$249$	−11.1305			−0.705367
$250$	−15.7927	−	0.769082i	−0.998816	−	0.0486410i
$251$		−	17.7075i		−	1.11769i	−0.829273	−	0.558843i	$-0.811245\pi$
$251$		−	17.7075i		−	1.11769i	0.829273	−	0.558843i	$-0.188755\pi$
$252$	−29.5051	−	32.3494i	−1.85865	−	2.03782i
$253$	2.98413	−	2.98413i	0.187611	−	0.187611i
$254$	−15.2130	−	15.9287i	−0.954551	−	0.999453i
$255$	0.160424	−	18.7373i	0.0100462	−	1.17337i
$256$	15.7305	+	2.92434i	0.983155	+	0.182771i
$257$	9.61099	−	9.61099i	0.599517	−	0.599517i	−0.340667	−	0.940184i	$-0.610653\pi$
$257$	9.61099	−	9.61099i	0.599517	−	0.599517i	0.940184	+	0.340667i	$0.110653\pi$
$258$	0.208042	−	9.05334i	0.0129522	−	0.563637i
$259$	−8.29995			−0.515734
$260$	15.7840	+	3.29608i	0.978884	+	0.204414i
$261$	56.4827			3.49619
$262$	−0.00378090	+	0.164533i	−0.000233585	+	0.0101649i
$263$	0.442921	−	0.442921i	0.0273117	−	0.0273117i	−0.693319	−	0.720631i	$-0.743852\pi$
$263$	0.442921	−	0.442921i	0.0273117	−	0.0273117i	0.720631	+	0.693319i	$0.243852\pi$
$264$	19.4339	−	16.9239i	1.19608	−	1.04160i
$265$	−10.6577	−	10.8418i	−0.654697	−	0.666004i
$266$	5.62981	+	5.89464i	0.345186	+	0.361424i
$267$	−7.91081	+	7.91081i	−0.484134	+	0.484134i
$268$	22.0071	−	20.0722i	1.34430	−	1.22610i
$269$		−	19.9649i		−	1.21728i	−0.793446	−	0.608641i	$-0.791715\pi$
$269$		−	19.9649i		−	1.21728i	0.793446	−	0.608641i	$-0.208285\pi$
$270$	−34.6048	−	36.8593i	−2.10598	−	2.24319i
$271$	−19.6206			−1.19186			−0.595932	−	0.803035i	$-0.703217\pi$
$271$	−19.6206			−1.19186			−0.595932	+	0.803035i	$0.703217\pi$
$272$	−7.82452	+	6.50398i	−0.474431	+	0.394361i
$273$	−4.99258	+	32.7342i	−0.302165	+	1.98116i
$274$	15.7179	+	16.4573i	0.949553	+	0.994220i
$275$	13.8262	+	0.236770i	0.833749	+	0.0142778i
$276$	−0.461835	+	10.0435i	−0.0277992	+	0.604547i
$277$	−2.71322	+	2.71322i	−0.163022	+	0.163022i	−0.783904	−	0.620882i	$-0.786775\pi$
$277$	−2.71322	+	2.71322i	−0.163022	+	0.163022i	0.620882	+	0.783904i	$0.286775\pi$
$278$	19.7602	+	0.454081i	1.18514	+	0.0272340i
$279$			16.3946i			0.981516i
$280$	−13.3947	+	11.4645i	−0.800485	+	0.685136i
$281$		−	10.7683i		−	0.642383i	−0.947014	−	0.321191i	$-0.895917\pi$
$281$		−	10.7683i		−	0.642383i	0.947014	−	0.321191i	$-0.104083\pi$
$282$	−0.459415	+	19.9923i	−0.0273578	+	1.19052i
$283$	−9.22116	+	9.22116i	−0.548141	+	0.548141i	−0.925903	−	0.377762i	$-0.876694\pi$
$283$	−9.22116	+	9.22116i	−0.548141	+	0.548141i	0.377762	+	0.925903i	$0.376694\pi$
$284$	−7.52480	−	0.346017i	−0.446515	−	0.0205323i
$285$	10.6771	+	10.8615i	0.632456	+	0.643380i
$286$	−13.8883	−	2.44595i	−0.821232	−	0.144632i
$287$	−4.08735	−	4.08735i	−0.241269	−	0.241269i
$288$	−5.09206	+	44.1307i	−0.300052	+	2.60042i
$289$			10.5297i			0.619394i
$290$	0.717180	−	22.7333i	0.0421143	−	1.33494i
$291$	−24.8438			−1.45637
$292$	0.477464	−	0.435483i	0.0279415	−	0.0254847i
$293$	1.67405	−	1.67405i	0.0977990	−	0.0977990i	−0.656514	−	0.754313i	$-0.727970\pi$
$293$	1.67405	−	1.67405i	0.0977990	−	0.0977990i	0.754313	+	0.656514i	$0.227970\pi$
$294$	−2.48199	−	2.59874i	−0.144752	−	0.151562i
$295$	−0.184789	+	21.5831i	−0.0107588	+	1.25661i
$296$	5.53042	+	6.35064i	0.321449	+	0.369124i
$297$	31.2658	+	31.2658i	1.81422	+	1.81422i
$298$	15.5036	+	0.356267i	0.898100	+	0.0206380i
$299$	4.43250	−	3.25935i	0.256338	−	0.188493i
$300$	−24.7169	+	21.7802i	−1.42703	+	1.25748i
$301$		−	5.41852i		−	0.312318i
$302$	24.9672	+	0.573736i	1.43670	+	0.0330148i
$303$	−6.30984	+	6.30984i	−0.362491	+	0.362491i
$304$	0.758984	−	8.23533i	0.0435307	−	0.472329i
$305$	15.2878	+	0.130891i	0.875380	+	0.00749479i
$306$	−19.5114	−	20.4292i	−1.11539	−	1.16786i
$307$	−19.6500	+	19.6500i	−1.12149	+	1.12149i	−0.129968	+	0.991518i	$0.541487\pi$
$307$	−19.6500	+	19.6500i	−1.12149	+	1.12149i	−0.991518	+	0.129968i	$0.958513\pi$
$308$	11.3926	−	10.3909i	0.649155	−	0.592079i
$309$			10.9135i			0.620847i
$310$	6.59851	+	0.208167i	0.374770	+	0.0118231i
$311$			33.7067i			1.91133i	0.294458	+	0.955664i	$0.404861\pi$
$311$			33.7067i			1.91133i	−0.294458	+	0.955664i	$0.595139\pi$
$312$	28.3730	−	17.9914i	1.60630	−	1.01856i
$313$	−14.3198	−	14.3198i	−0.809405	−	0.809405i	0.175139	−	0.984544i	$-0.443963\pi$
$313$	−14.3198	−	14.3198i	−0.809405	−	0.809405i	−0.984544	+	0.175139i	$0.943963\pi$
$314$	19.7137	−	18.8280i	1.11251	−	1.06253i
$315$	−34.3166	−	34.9093i	−1.93352	−	1.96692i
$316$	−6.72390	−	0.309189i	−0.378249	−	0.0173932i
$317$	19.1858	+	19.1858i	1.07758	+	1.07758i	0.996726	+	0.0808584i	$0.0257662\pi$
$317$	19.1858	+	19.1858i	1.07758	+	1.07758i	0.0808584	+	0.996726i	$0.474234\pi$
$318$	−31.6679	−	0.727717i	−1.77585	−	0.0408083i
$319$			19.8918i			1.11372i
$320$	17.6971	+	2.60980i	0.989300	+	0.145892i
$321$	−18.7865			−1.04856
$322$	−0.138206	+	6.01430i	−0.00770194	+	0.335164i
$323$	3.71882	+	3.71882i	0.206921	+	0.206921i
$324$	−58.1606	−	2.67443i	−3.23115	−	0.148579i
$325$	17.7725	+	3.02289i	0.985842	+	0.167680i
$326$	6.21725	+	6.50971i	0.344342	+	0.360540i
$327$	30.9590	−	30.9590i	1.71204	−	1.71204i
$328$	−0.403923	+	5.85090i	−0.0223029	+	0.323062i
$329$			11.9656i			0.659684i
$330$	21.0053	−	19.7205i	1.15630	−	1.08558i
$331$	13.7338			0.754877			0.377439	−	0.926035i	$-0.376805\pi$
$331$	13.7338			0.754877			0.377439	+	0.926035i	$0.376805\pi$
$332$	4.55356	+	4.99253i	0.249909	+	0.274000i
$333$	−16.5330	+	16.5330i	−0.906000	+	0.906000i
$334$	−10.2168	+	9.75782i	−0.559040	+	0.533924i
$335$	23.7486	−	23.3454i	1.29753	−	1.27550i
$336$	−3.37130	+	36.5802i	−0.183920	+	1.99561i
$337$	−7.13548	+	7.13548i	−0.388694	+	0.388694i	−0.874221	−	0.485527i	$-0.838628\pi$
$337$	−7.13548	+	7.13548i	−0.388694	+	0.388694i	0.485527	+	0.874221i	$0.338628\pi$
$338$	−17.4183	−	5.88228i	−0.947433	−	0.319954i
$339$	38.4841			2.09017
$340$	−8.47014	+	7.59360i	−0.459358	+	0.411821i
$341$	−5.77374			−0.312666
$342$	22.9560	+	0.527519i	1.24132	+	0.0285250i
$343$	12.2780	+	12.2780i	0.662951	+	0.662951i
$344$	−4.14594	+	3.61047i	−0.223534	+	0.194663i
$345$	−0.0962377	+	11.2404i	−0.00518127	+	0.605164i
$346$	−3.50896	−	3.67402i	−0.188643	−	0.197517i
$347$	22.6909	+	22.6909i	1.21811	+	1.21811i	0.968293	+	0.249817i	$0.0803705\pi$
$347$	22.6909	+	22.6909i	1.21811	+	1.21811i	0.249817	+	0.968293i	$0.419630\pi$
$348$	−31.9349	−	35.0134i	−1.71189	−	1.87692i
$349$	−17.6400			−0.944247			−0.472124	−	0.881532i	$-0.656512\pi$
$349$	−17.6400			−0.944247			−0.472124	+	0.881532i	$0.656512\pi$
$350$	−14.4861	+	13.3686i	−0.774315	+	0.714580i
$351$	34.1493	+	46.4409i	1.82276	+	2.47883i
$352$	−15.5417	−	1.79329i	−0.828375	−	0.0955828i
$353$	24.4668	−	24.4668i	1.30224	−	1.30224i	0.375359	−	0.926879i	$-0.377519\pi$
$353$	24.4668	−	24.4668i	1.30224	−	1.30224i	0.926879	−	0.375359i	$-0.122481\pi$
$354$	31.0605	+	32.5216i	1.65085	+	1.72850i
$355$	−8.42157	−	0.0721034i	−0.446970	−	0.00382685i
$356$	6.78472	+	0.311985i	0.359589	+	0.0165352i
$357$	−16.5185	−	16.5185i	−0.874251	−	0.874251i
$358$	0.249762	+	0.00573945i	0.0132004	+	0.000303339i
$359$		−	26.5212i		−	1.39973i	−0.714273	−	0.699867i	$-0.753243\pi$
$359$		−	26.5212i		−	1.39973i	0.714273	−	0.699867i	$-0.246757\pi$
$360$	−3.84476	+	49.5179i	−0.202636	+	2.60982i
$361$	14.7252			0.775011
$362$	−19.2430	−	0.442197i	−1.01139	−	0.0232414i
$363$	7.80671	−	7.80671i	0.409746	−	0.409746i
$364$	16.7252	−	11.1524i	0.876640	−	0.584543i
$365$	0.515247	−	0.506499i	0.0269693	−	0.0265114i
$366$	23.0359	−	22.0010i	1.20411	−	1.15001i
$367$	−5.52850	−	5.52850i	−0.288586	−	0.288586i	0.547935	−	0.836521i	$-0.315414\pi$
$367$	−5.52850	−	5.52850i	−0.288586	−	0.288586i	−0.836521	+	0.547935i	$0.815414\pi$
$368$	4.69389	−	3.90170i	0.244686	−	0.203390i
$369$	−16.2835			−0.847684
$370$	6.44429	+	6.86414i	0.335023	+	0.356850i
$371$	−18.9536			−0.984020
$372$	10.1629	−	9.26936i	0.526923	−	0.480594i
$373$	−13.6242	−	13.6242i	−0.705432	−	0.705432i	0.260139	−	0.965571i	$-0.416232\pi$
$373$	−13.6242	−	13.6242i	−0.705432	−	0.705432i	−0.965571	+	0.260139i	$0.916232\pi$
$374$	7.19465	−	6.87142i	0.372026	−	0.355312i
$375$	−26.7048	+	25.3670i	−1.37903	+	1.30995i
$376$	9.15538	−	7.97291i	0.472153	−	0.411172i
$377$	−3.91003	+	25.6364i	−0.201377	+	1.32034i
$378$	−63.0140	−	1.44804i	−3.24109	−	0.0744790i
$379$			26.5880i			1.36574i	0.730542	+	0.682868i	$0.239268\pi$
$379$			26.5880i			1.36574i	−0.730542	+	0.682868i	$0.760732\pi$
$380$	0.503797	−	9.23266i	0.0258442	−	0.473626i
$381$	−51.3101			−2.62869
$382$	−0.452119	+	19.6748i	−0.0231324	+	1.00665i
$383$	8.03967	+	8.03967i	0.410808	+	0.410808i	0.882020	−	0.471212i	$-0.156183\pi$
$383$	8.03967	+	8.03967i	0.410808	+	0.410808i	−0.471212	+	0.882020i	$0.656183\pi$
$384$	30.2355	−	21.7946i	1.54295	−	1.11220i
$385$	12.2942	−	12.0854i	0.626569	−	0.615931i
$386$	25.3044	−	24.1676i	1.28796	−	1.23010i
$387$	−10.7933	−	10.7933i	−0.548656	−	0.548656i
$388$	10.1638	+	11.1436i	0.515988	+	0.565729i
$389$		−	15.3855i		−	0.780076i	−0.920799	−	0.390038i	$-0.872462\pi$
$389$		−	15.3855i		−	0.780076i	0.920799	−	0.390038i	$-0.127538\pi$
$390$	30.9479	−	21.2867i	1.56711	−	1.07790i
$391$			3.88150i			0.196296i
$392$	−0.150253	+	2.17644i	−0.00758893	+	0.109927i
$393$	0.271090	+	0.271090i	0.0136747	+	0.0136747i
$394$	−2.02945	−	2.12492i	−0.102242	−	0.107052i
$395$	−7.52521	−	0.0644291i	−0.378635	−	0.00324178i
$396$	1.99529	−	43.3914i	0.100267	−	2.18050i
$397$	−0.850203	−	0.850203i	−0.0426705	−	0.0426705i	0.685450	−	0.728120i	$-0.259606\pi$
$397$	−0.850203	−	0.850203i	−0.0426705	−	0.0426705i	−0.728120	+	0.685450i	$0.759606\pi$
$398$	−17.8307	−	0.409744i	−0.893774	−	0.0205386i
$399$	18.9881			0.950592
$400$	19.8813	+	2.17619i	0.994063	+	0.108810i
$401$			2.07340i			0.103541i	0.998659	+	0.0517704i	$0.0164864\pi$
$401$			2.07340i			0.103541i	−0.998659	+	0.0517704i	$0.983514\pi$
$402$	1.59405	−	69.3678i	0.0795038	−	3.45975i
$403$	−7.44116	−	1.13492i	−0.370670	−	0.0565342i
$404$	5.41164	+	0.248846i	0.269239	+	0.0123806i
$405$	−65.0919	−	0.557301i	−3.23444	−	0.0276925i
$406$	−19.5846	−	20.5058i	−0.971967	−	1.01769i
$407$	−5.82248	−	5.82248i	−0.288610	−	0.288610i
$408$	−1.63240	+	23.6456i	−0.0808158	+	1.17063i
$409$	−5.67158			−0.280442			−0.140221	−	0.990120i	$-0.544781\pi$
$409$	−5.67158			−0.280442			−0.140221	+	0.990120i	$0.544781\pi$
$410$	−0.206757	+	6.55381i	−0.0102110	+	0.323670i
$411$	53.0128			2.61493
$412$	4.89519	−	4.46479i	0.241169	−	0.219964i
$413$	19.0273	+	19.0273i	0.936271	+	0.936271i
$414$	11.7048	+	12.2554i	0.575260	+	0.602320i
$415$	5.29613	+	5.38760i	0.259977	+	0.264467i
$416$	−19.6775	−	5.36614i	−0.964770	−	0.263097i
$417$	32.5575	−	32.5575i	1.59435	−	1.59435i
$418$	−0.185779	+	8.08450i	−0.00908673	+	0.395426i
$419$	−19.1062			−0.933399			−0.466699	−	0.884416i	$-0.654557\pi$
$419$	−19.1062			−0.933399			−0.466699	+	0.884416i	$0.654557\pi$
$420$	−2.23780	+	41.0102i	−0.109193	+	2.00110i
$421$		−	20.3290i		−	0.990773i	−0.868673	−	0.495387i	$-0.835026\pi$
$421$		−	20.3290i		−	0.990773i	0.868673	−	0.495387i	$-0.164974\pi$
$422$	−0.0613989	+	2.67188i	−0.00298885	+	0.130065i
$423$	23.8347	+	23.8347i	1.15888	+	1.15888i
$424$	12.6291	+	14.5022i	0.613325	+	0.704288i
$425$	−9.14593	+	8.83796i	−0.443643	+	0.428704i
$426$	−12.6897	+	12.1196i	−0.614818	+	0.587197i
$427$	13.4775	−	13.4775i	0.652222	−	0.652222i
$428$	7.68567	+	8.42657i	0.371501	+	0.407314i
$429$	−26.4656	+	19.4609i	−1.27777	+	0.939583i
$430$	−4.48117	+	4.20708i	−0.216101	+	0.202883i
$431$	−34.3570			−1.65492			−0.827460	−	0.561524i	$-0.810215\pi$
$431$	−34.3570			−1.65492			−0.827460	+	0.561524i	$0.810215\pi$
$432$	40.8795	+	49.1795i	1.96682	+	2.36615i
$433$	20.9912	+	20.9912i	1.00877	+	1.00877i	0.999961	+	0.00881105i	$0.00280468\pi$
$433$	20.9912	+	20.9912i	1.00877	+	1.00877i	0.00881105	+	0.999961i	$0.497195\pi$
$434$	5.95199	−	5.68458i	0.285704	−	0.272869i
$435$	−37.1427	−	37.7842i	−1.78086	−	1.81161i
$436$	−26.5520	−	1.22095i	−1.27161	−	0.0584731i
$437$	−2.23090	−	2.23090i	−0.106718	−	0.106718i
$438$	0.0345842	−	1.50500i	0.00165250	−	0.0719115i
$439$	−16.6708			−0.795656			−0.397828	−	0.917460i	$-0.630236\pi$
$439$	−16.6708			−0.795656			−0.397828	+	0.917460i	$0.630236\pi$
$440$	−17.4389	−	1.35402i	−0.831369	−	0.0645506i
$441$	−6.05720			−0.288438
$442$	10.6231	−	7.44161i	0.505289	−	0.353962i
$443$	−21.7096	+	21.7096i	−1.03146	+	1.03146i	−0.0319665	+	0.999489i	$0.510177\pi$
$443$	−21.7096	+	21.7096i	−1.03146	+	1.03146i	−0.999489	+	0.0319665i	$0.989823\pi$
$444$	19.5963	+	0.901108i	0.930001	+	0.0427647i
$445$	7.59328	+	0.0650119i	0.359956	+	0.00308186i
$446$	23.4227	+	24.5246i	1.10910	+	1.16127i
$447$	25.5443	−	25.5443i	1.20820	−	1.20820i
$448$	17.7871	−	13.4530i	0.840361	−	0.635596i
$449$	−31.2426			−1.47443			−0.737215	−	0.675658i	$-0.763860\pi$
$449$	−31.2426			−1.47443			−0.737215	+	0.675658i	$0.763860\pi$
$450$	−2.22606	+	55.4847i	−0.104937	+	2.61557i
$451$		−	5.73462i		−	0.270033i
$452$	−15.7441	−	17.2618i	−0.740541	−	0.811929i
$453$	41.1367	−	41.1367i	1.93277	−	1.93277i
$454$	17.2162	−	16.4427i	0.807995	−	0.771694i
$455$	18.2202	−	13.1590i	0.854177	−	0.616904i
$456$	−12.6521	−	14.5286i	−0.592490	−	0.680363i
$457$	22.4089	+	22.4089i	1.04824	+	1.04824i	0.998776	+	0.0494661i	$0.0157520\pi$
$457$	22.4089	+	22.4089i	1.04824	+	1.04824i	0.0494661	+	0.998776i	$0.484248\pi$
$458$	−16.0441	−	0.368686i	−0.749690	−	0.0172276i
$459$	−40.6678			−1.89821
$460$	5.08120	−	4.55536i	0.236912	−	0.212395i
$461$		−	14.9213i		−	0.694953i	−0.937689	−	0.347477i	$-0.887039\pi$
$461$		−	14.9213i		−	0.694953i	0.937689	−	0.347477i	$-0.112961\pi$
$462$	0.825204	−	35.9103i	0.0383920	−	1.67070i
$463$	−12.5507	−	12.5507i	−0.583282	−	0.583282i	0.352522	−	0.935804i	$-0.385324\pi$
$463$	−12.5507	−	12.5507i	−0.583282	−	0.583282i	−0.935804	+	0.352522i	$0.885324\pi$
$464$	−2.64030	+	28.6485i	−0.122573	+	1.32997i
$465$	10.9672	−	10.7810i	0.508590	−	0.499955i
$466$	19.2084	+	20.1119i	0.889810	+	0.931667i
$467$	14.2920	+	14.2920i	0.661354	+	0.661354i	0.955699	−	0.294346i	$-0.0951017\pi$
$467$	14.2920	+	14.2920i	0.661354	+	0.661354i	−0.294346	+	0.955699i	$0.595102\pi$
$468$	11.1008	−	55.5304i	0.513133	−	2.56689i
$469$		−	41.5173i		−	1.91709i
$470$	9.89566	−	9.29039i	0.456453	−	0.428534i
$471$		−	63.5025i		−	2.92604i
$472$	1.88032	−	27.2368i	0.0865490	−	1.25368i
$473$	3.80113	−	3.80113i	0.174776	−	0.174776i
$474$	−11.3391	+	10.8296i	−0.520821	+	0.497422i
$475$	0.177006	−	10.3363i	0.00812161	−	0.474261i
$476$	−0.651453	+	14.1671i	−0.0298593	+	0.649348i
$477$	−37.7543	+	37.7543i	−1.72865	+	1.72865i
$478$	−0.476148	+	20.7204i	−0.0217785	+	0.947731i
$479$		−	0.392894i		−	0.0179518i	−0.999960	−	0.00897588i	$-0.997143\pi$
$479$		−	0.392894i		−	0.0179518i	0.999960	−	0.00897588i	$-0.00285715\pi$
$480$	32.8698	−	25.6137i	1.50029	−	1.16910i
$481$	−6.35947	−	8.64847i	−0.289967	−	0.394336i
$482$	−0.712883	+	31.0224i	−0.0324709	+	1.41303i
$483$	9.90936	+	9.90936i	0.450891	+	0.450891i
$484$	−6.69543	−	0.307880i	−0.304338	−	0.0139945i
$485$	11.8212	+	12.0254i	0.536775	+	0.546045i
$486$	−49.0285	+	46.8258i	−2.22398	+	2.12406i
$487$	8.76391	−	8.76391i	0.397131	−	0.397131i	−0.480089	−	0.877220i	$-0.659396\pi$
$487$	8.76391	−	8.76391i	0.397131	−	0.397131i	0.877220	+	0.480089i	$0.159396\pi$
$488$	−19.2926	−	1.33188i	−0.873333	−	0.0602915i
$489$	20.9694			0.948267
$490$	−0.0769104	+	2.43792i	−0.00347446	+	0.110134i
$491$			2.47325i			0.111616i	0.998442	+	0.0558081i	$0.0177735\pi$
$491$			2.47325i			0.111616i	−0.998442	+	0.0558081i	$0.982226\pi$
$492$	9.20657	+	10.0941i	0.415064	+	0.455076i
$493$	−12.9367	−	12.9367i	−0.582642	−	0.582642i
$494$	−1.82856	+	10.3827i	−0.0822709	+	0.467141i
$495$	0.415781	−	48.5626i	0.0186880	−	2.18273i
$496$	−8.31544	−	0.766367i	−0.373374	−	0.0344109i
$497$	−7.42431	+	7.42431i	−0.333026	+	0.333026i
$498$	15.7368	+	0.361625i	0.705181	+	0.0162048i
$499$			17.6033i			0.788032i	0.919104	+	0.394016i	$0.128915\pi$
$499$			17.6033i			0.788032i	−0.919104	+	0.394016i	$0.871085\pi$
$500$	22.3033	+	1.60046i	0.997435	+	0.0715746i
$501$			32.9109i			1.47035i
$502$	−0.575308	+	25.0356i	−0.0256772	+	1.11739i
$503$	5.95062	−	5.95062i	0.265325	−	0.265325i	−0.561888	−	0.827213i	$-0.689925\pi$
$503$	5.95062	−	5.95062i	0.265325	−	0.265325i	0.827213	+	0.561888i	$0.189925\pi$
$504$	40.6645	+	46.6955i	1.81134	+	2.07998i
$505$	6.05657	+	0.0518549i	0.269514	+	0.00230751i
$506$	−4.31604	+	4.12213i	−0.191871	+	0.183251i
$507$	−37.9340	+	19.8789i	−1.68471	+	0.882853i
$508$	20.9913	+	23.0148i	0.931338	+	1.02112i
$509$	18.7434			0.830785			0.415392	−	0.909642i	$-0.363644\pi$
$509$	18.7434			0.830785			0.415392	+	0.909642i	$0.363644\pi$
$510$	−0.835580	+	26.4863i	−0.0370001	+	1.17283i
$511$		−	0.900755i		−	0.0398471i
$512$	−22.1454	−	4.64563i	−0.978697	−	0.205310i
$513$	23.3739	−	23.3739i	1.03198	−	1.03198i
$514$	−13.9007	+	13.2762i	−0.613132	+	0.585586i
$515$	5.28257	−	5.19288i	0.232778	−	0.228826i
$516$	−0.588277	+	12.7932i	−0.0258975	+	0.563190i
$517$	−8.39396	+	8.39396i	−0.369166	+	0.369166i
$518$	11.7348	+	0.269661i	0.515597	+	0.0118482i
$519$	−11.8349			−0.519495
$520$	−22.2090	−	5.17295i	−0.973930	−	0.226849i
$521$	−12.6489			−0.554157			−0.277078	−	0.960847i	$-0.589366\pi$
$521$	−12.6489			−0.554157			−0.277078	+	0.960847i	$0.589366\pi$
$522$	−79.8575	−	1.83510i	−3.49527	−	0.0803199i
$523$	14.7541	−	14.7541i	0.645150	−	0.645150i	−0.306667	−	0.951817i	$-0.599214\pi$
$523$	14.7541	−	14.7541i	0.645150	−	0.645150i	0.951817	+	0.306667i	$0.0992138\pi$
$524$	0.0106912	−	0.232500i	0.000467047	−	0.0101568i
$525$	−0.786238	+	45.9123i	−0.0343143	+	2.00378i
$526$	−0.640610	+	0.611829i	−0.0279319	+	0.0266770i
$527$	3.75499	−	3.75499i	0.163570	−	0.163570i
$528$	−28.0263	+	23.2963i	−1.21969	+	1.01384i
$529$			20.6715i			0.898761i
$530$	14.7160	+	15.6748i	0.639224	+	0.680869i
$531$	75.8022			3.28953
$532$	−7.76814	−	8.51699i	−0.336792	−	0.369258i
$533$	1.12723	−	7.39074i	0.0488257	−	0.320129i
$534$	11.4416	−	10.9276i	0.495128	−	0.472884i
$535$	8.93901	+	9.09340i	0.386467	+	0.393142i
$536$	−31.7667	+	27.6638i	−1.37211	+	1.19490i
$537$	0.411517	−	0.411517i	0.0177583	−	0.0177583i
$538$	−0.648650	+	28.2272i	−0.0279653	+	1.21696i
$539$		−	2.13319i		−	0.0918830i
$540$	47.7281	+	53.2375i	2.05389	+	2.29098i
$541$			30.7974i			1.32408i	0.749467	+	0.662042i	$0.230310\pi$
$541$			30.7974i			1.32408i	−0.749467	+	0.662042i	$0.769690\pi$
$542$	27.7403	+	0.637463i	1.19155	+	0.0273814i
$543$	−31.7054	+	31.7054i	−1.36061	+	1.36061i
$544$	11.2739	−	8.94137i	0.483366	−	0.383358i
$545$	−29.7163	−	0.254424i	−1.27291	−	0.0108983i
$546$	8.12223	−	46.1187i	0.347599	−	1.97370i
$547$	−17.8667	−	17.8667i	−0.763927	−	0.763927i	0.213103	−	0.977030i	$-0.431643\pi$
$547$	−17.8667	−	17.8667i	−0.763927	−	0.763927i	−0.977030	+	0.213103i	$0.931643\pi$
$548$	−21.6879	−	23.7786i	−0.926461	−	1.01577i
$549$		−	53.6926i		−	2.29155i
$550$	−19.5403	−	0.783960i	−0.833201	−	0.0334282i
$551$	14.8708			0.633519
$552$	0.979269	−	14.1849i	0.0416805	−	0.603749i
$553$	−6.63410	+	6.63410i	−0.282111	+	0.282111i
$554$	3.92421	−	3.74791i	0.166724	−	0.159234i
$555$	21.9317	+	0.187774i	0.930949	+	0.00797057i
$556$	−27.9230	−	1.28400i	−1.18420	−	0.0544536i
$557$	−10.5065	−	10.5065i	−0.445173	−	0.445173i	0.448573	−	0.893746i	$-0.351932\pi$
$557$	−10.5065	−	10.5065i	−0.445173	−	0.445173i	−0.893746	+	0.448573i	$0.851932\pi$
$558$	0.532651	−	23.1793i	0.0225489	−	0.981257i
$559$	5.64605	−	4.15170i	0.238802	−	0.175598i
$560$	19.3104	−	15.7738i	0.816014	−	0.666565i
$561$		−	23.1757i		−	0.978479i
$562$	−0.349857	+	15.2246i	−0.0147578	+	0.642213i
$563$	13.5627	−	13.5627i	0.571601	−	0.571601i	−0.360974	−	0.932576i	$-0.617556\pi$
$563$	13.5627	−	13.5627i	0.571601	−	0.571601i	0.932576	+	0.360974i	$0.117556\pi$
$564$	1.29908	−	28.2510i	0.0547011	−	1.18958i
$565$	−18.3116	−	18.6278i	−0.770374	−	0.783679i
$566$	13.3368	−	12.7377i	0.560589	−	0.535404i
$567$	−57.3839	+	57.3839i	−2.40990	+	2.40990i
$568$	10.6276	+	0.733690i	0.445925	+	0.0307849i
$569$		−	18.7390i		−	0.785582i	−0.919628	−	0.392791i	$-0.871510\pi$
$569$		−	18.7390i		−	0.785582i	0.919628	−	0.392791i	$-0.128490\pi$
$570$	−14.7428	−	15.7033i	−0.617509	−	0.657740i
$571$			8.09676i			0.338839i	0.985544	+	0.169419i	$0.0541892\pi$
$571$			8.09676i			0.338839i	−0.985544	+	0.169419i	$0.945811\pi$
$572$	19.5564	+	3.90940i	0.817693	+	0.163460i
$573$	32.4168	+	32.4168i	1.35423	+	1.35423i
$574$	5.64607	+	5.91166i	0.235662	+	0.246748i
$575$	5.48660	−	5.30185i	0.228807	−	0.221102i
$576$	8.63314	−	62.2283i	0.359714	−	2.59284i
$577$	19.0166	+	19.0166i	0.791673	+	0.791673i	0.981766	−	0.190093i	$-0.0608789\pi$
$577$	19.0166	+	19.0166i	0.791673	+	0.791673i	−0.190093	+	0.981766i	$0.560879\pi$
$578$	0.342105	−	14.8873i	0.0142297	−	0.619231i
$579$		−	81.5117i		−	3.38751i
$580$	−1.75257	+	32.1179i	−0.0727715	+	1.33362i
$581$	9.41860			0.390750
$582$	35.1252	+	0.807164i	1.45599	+	0.0334580i
$583$	−13.2961	−	13.2961i	−0.550667	−	0.550667i
$584$	−0.689206	+	0.600191i	−0.0285196	+	0.0248361i
$585$	10.0816	−	62.5054i	0.416822	−	2.58428i
$586$	−2.42123	+	2.31245i	−0.100020	+	0.0955264i
$587$	−6.97520	+	6.97520i	−0.287897	+	0.287897i	−0.836248	−	0.548351i	$-0.815256\pi$
$587$	−6.97520	+	6.97520i	−0.287897	+	0.287897i	0.548351	+	0.836248i	$0.315256\pi$
$588$	3.42470	+	3.75484i	0.141232	+	0.154847i
$589$			4.31638i			0.177853i
$590$	0.962486	−	30.5090i	0.0396249	−	1.25604i
$591$	−6.84487			−0.281560
$592$	−7.61280	−	9.15848i	−0.312884	−	0.376411i
$593$	−26.5561	+	26.5561i	−1.09053	+	1.09053i	−0.0950558	+	0.995472i	$0.530303\pi$
$593$	−26.5561	+	26.5561i	−1.09053	+	1.09053i	−0.995472	+	0.0950558i	$0.969697\pi$
$594$	−43.1890	−	45.2206i	−1.77207	−	1.85542i
$595$	−0.135751	+	15.8555i	−0.00556523	+	0.650010i
$596$	−21.9081	−	1.00741i	−0.897389	−	0.0412651i
$597$	−29.3785	+	29.3785i	−1.20238	+	1.20238i
$598$	−6.37274	+	4.46419i	−0.260601	+	0.182554i
$599$	−35.1399			−1.43578			−0.717889	−	0.696157i	$-0.754892\pi$
$599$	−35.1399			−1.43578			−0.717889	+	0.696157i	$0.754892\pi$
$600$	35.6534	−	29.9907i	1.45554	−	1.22437i
$601$	23.8391			0.972417			0.486209	−	0.873843i	$-0.338380\pi$
$601$	23.8391			0.972417			0.486209	+	0.873843i	$0.338380\pi$
$602$	−0.176045	+	7.66092i	−0.00717506	+	0.312236i
$603$	−82.6998	−	82.6998i	−3.36780	−	3.36780i
$604$	−35.2810	−	1.62234i	−1.43556	−	0.0660122i
$605$	−7.49336	−	0.0641563i	−0.304648	−	0.00260833i
$606$	9.12611	−	8.71610i	0.370723	−	0.354067i
$607$	−21.1327	−	21.1327i	−0.857750	−	0.857750i	0.133323	−	0.991073i	$-0.457435\pi$
$607$	−21.1327	−	21.1327i	−0.857750	−	0.857750i	−0.991073	+	0.133323i	$0.957435\pi$
$608$	−1.34064	+	11.6188i	−0.0543703	+	0.471204i
$609$	−66.0543			−2.67665
$610$	−21.6103	−	0.681754i	−0.874976	−	0.0276034i
$611$	−12.4680	+	9.16811i	−0.504403	+	0.370902i
$612$	26.9223	+	29.5176i	1.08827	+	1.19318i
$613$	−13.5802	+	13.5802i	−0.548499	+	0.548499i	−0.926007	−	0.377507i	$-0.876781\pi$
$613$	−13.5802	+	13.5802i	−0.548499	+	0.548499i	0.377507	+	0.926007i	$0.376781\pi$
$614$	28.4204	−	27.1436i	1.14695	−	1.09543i
$615$	10.7079	+	10.8929i	0.431785	+	0.439243i
$616$	−16.4449	+	14.3210i	−0.662586	+	0.577009i
$617$	−27.8314	−	27.8314i	−1.12045	−	1.12045i	−0.991673	−	0.128779i	$-0.958894\pi$
$617$	−27.8314	−	27.8314i	−1.12045	−	1.12045i	−0.128779	−	0.991673i	$-0.541106\pi$
$618$	0.354574	−	15.4300i	0.0142631	−	0.620684i
$619$			18.4469i			0.741443i	0.928744	+	0.370721i	$0.120890\pi$
$619$			18.4469i			0.741443i	−0.928744	+	0.370721i	$0.879110\pi$
$620$	−9.32248	−	0.508698i	−0.374400	−	0.0204298i
$621$	24.3964			0.978996
$622$	1.09511	−	47.6558i	0.0439100	−	1.91082i
$623$	6.69411	−	6.69411i	0.268194	−	0.268194i
$624$	−40.6994	+	24.5151i	−1.62928	+	0.981391i
$625$	24.9853	+	0.855988i	0.999414	+	0.0342395i
$626$	19.7807	+	20.7112i	0.790596	+	0.827786i
$627$	13.3203	+	13.3203i	0.531961	+	0.531961i
$628$	−28.4837	+	25.9793i	−1.13662	+	1.03669i
$629$	7.57339			0.301971
$630$	47.3840	+	50.4711i	1.88783	+	2.01082i
$631$	−2.29587			−0.0913973			−0.0456986	−	0.998955i	$-0.514551\pi$
$631$	−2.29587			−0.0913973			−0.0456986	+	0.998955i	$0.514551\pi$
$632$	9.49647	+	0.655599i	0.377749	+	0.0260783i
$633$	4.40228	+	4.40228i	0.174975	+	0.174975i
$634$	−26.5024	−	27.7490i	−1.05254	−	1.10206i
$635$	24.4144	+	24.8361i	0.968857	+	0.985591i
$636$	44.7497	+	2.05775i	1.77444	+	0.0815951i
$637$	0.419311	−	2.74924i	0.0166137	−	0.108929i
$638$	0.646273	−	28.1238i	0.0255862	−	1.11343i
$639$			29.5775i			1.17007i
$640$	−24.9361	−	4.26482i	−0.985688	−	0.168582i
$641$	38.1507			1.50686			0.753431	−	0.657527i	$-0.228397\pi$
$641$	38.1507			1.50686			0.753431	+	0.657527i	$0.228397\pi$
$642$	26.5611	+	0.610363i	1.04828	+	0.0240891i
$643$	23.1735	+	23.1735i	0.913875	+	0.913875i	0.996575	−	0.0826995i	$-0.0263542\pi$
$643$	23.1735	+	23.1735i	0.913875	+	0.913875i	−0.0826995	+	0.996575i	$0.526354\pi$
$644$	0.390804	−	8.49878i	0.0153998	−	0.334899i
$645$	−0.122586	+	14.3178i	−0.00482682	+	0.563765i
$646$	−5.13699	−	5.37864i	−0.202112	−	0.211620i
$647$	−2.29915	−	2.29915i	−0.0903891	−	0.0903891i	0.660466	−	0.750856i	$-0.270359\pi$
$647$	−2.29915	−	2.29915i	−0.0903891	−	0.0903891i	−0.750856	+	0.660466i	$0.770359\pi$
$648$	82.1430	+	5.67083i	3.22688	+	0.222771i
$649$			26.6956i			1.04789i
$650$	−25.0293	−	4.85130i	−0.981729	−	0.190284i
$651$		−	19.1728i		−	0.751441i
$652$	−8.57870	−	9.40569i	−0.335968	−	0.368355i
$653$	4.75371	+	4.75371i	0.186027	+	0.186027i	0.793976	−	0.607949i	$-0.208008\pi$
$653$	4.75371	+	4.75371i	0.186027	+	0.186027i	−0.607949	+	0.793976i	$0.708008\pi$
$654$	−44.7769	+	42.7652i	−1.75092	+	1.67225i
$655$	0.00222784	−	0.260208i	8.70490e−5	−	0.0101672i
$656$	0.761175	−	8.25911i	0.0297189	−	0.322464i
$657$	−1.79425	−	1.79425i	−0.0700002	−	0.0700002i
$658$	0.388756	−	16.9174i	0.0151553	−	0.659510i
$659$	−35.0519			−1.36543			−0.682715	−	0.730685i	$-0.739201\pi$
$659$	−35.0519			−1.36543			−0.682715	+	0.730685i	$0.739201\pi$
$660$	−30.3389	+	27.1992i	−1.18094	+	1.05873i
$661$		−	6.89099i		−	0.268028i	−0.990979	−	0.134014i	$-0.957213\pi$
$661$		−	6.89099i		−	0.268028i	0.990979	−	0.134014i	$-0.0427868\pi$
$662$	−19.4174	−	0.446204i	−0.754678	−	0.0173422i
$663$	4.55554	−	29.8687i	0.176922	−	1.16000i
$664$	−6.27581	−	7.20658i	−0.243549	−	0.279669i
$665$	−9.03493	−	9.19098i	−0.350360	−	0.356411i
$666$	23.9121	−	22.8378i	0.926575	−	0.884947i
$667$	7.76069	+	7.76069i	0.300495	+	0.300495i
$668$	14.7620	−	13.4641i	0.571159	−	0.520940i
$669$	78.9995			3.05430
$670$	−34.3353	+	32.2351i	−1.32649	+	1.24535i
$671$	18.9092			0.729980
$672$	5.95496	−	51.6091i	0.229718	−	1.99086i
$673$	−10.4035	−	10.4035i	−0.401024	−	0.401024i	0.477570	−	0.878594i	$-0.341518\pi$
$673$	−10.4035	−	10.4035i	−0.401024	−	0.401024i	−0.878594	+	0.477570i	$0.841518\pi$
$674$	10.3203	−	9.85659i	0.397521	−	0.379662i
$675$	55.5493	+	57.4850i	2.13809	+	2.21260i
$676$	24.4356	+	8.88251i	0.939833	+	0.341635i
$677$	−29.5371	+	29.5371i	−1.13520	+	1.13520i	−0.145903	+	0.989299i	$0.546609\pi$
$677$	−29.5371	+	29.5371i	−1.13520	+	1.13520i	−0.989299	+	0.145903i	$0.953391\pi$
$678$	−54.4104	−	1.25033i	−2.08962	−	0.0480187i
$679$	21.0228			0.806781
$680$	12.2221	−	10.4609i	0.468698	−	0.401159i
$681$		−	55.4574i		−	2.12513i
$682$	8.16315	+	0.187586i	0.312583	+	0.00718304i
$683$	6.74455	+	6.74455i	0.258073	+	0.258073i	0.824270	−	0.566197i	$-0.191586\pi$
$683$	6.74455	+	6.74455i	0.258073	+	0.258073i	−0.566197	+	0.824270i	$0.691586\pi$
$684$	−32.4389	−	1.49166i	−1.24033	−	0.0570349i
$685$	−25.2247	−	25.6603i	−0.963784	−	0.980430i
$686$	−16.9603	−	17.7581i	−0.647546	−	0.678006i
$687$	−26.4347	+	26.4347i	−1.00855	+	1.00855i
$688$	5.97900	−	4.96992i	0.227947	−	0.189477i
$689$	−14.5223	−	19.7494i	−0.553257	−	0.752394i
$690$	0.501260	−	15.8890i	0.0190827	−	0.604885i
$691$	10.6205			0.404021			0.202010	−	0.979383i	$-0.435252\pi$
$691$	10.6205			0.404021			0.202010	+	0.979383i	$0.435252\pi$
$692$	4.84174	+	5.30849i	0.184055	+	0.201798i
$693$	−42.8119	−	42.8119i	−1.62629	−	1.62629i
$694$	−31.3441	−	32.8185i	−1.18980	−	1.24577i
$695$	−31.2507	−	0.267561i	−1.18541	−	0.0101492i
$696$	44.0133	+	50.5410i	1.66832	+	1.91575i
$697$	3.72956	+	3.72956i	0.141267	+	0.141267i
$698$	24.9401	+	0.573115i	0.943998	+	0.0216927i
$699$	64.7854			2.45041
$700$	20.9154	−	18.4304i	0.790527	−	0.696603i
$701$	6.12695			0.231412			0.115706	−	0.993284i	$-0.463087\pi$
$701$	6.12695			0.231412			0.115706	+	0.993284i	$0.463087\pi$
$702$	−46.7729	−	66.7695i	−1.76533	−	2.52005i
$703$	−4.35282	+	4.35282i	−0.164170	+	0.164170i
$704$	21.9152	+	3.04037i	0.825960	+	0.114588i
$705$	0.270704	−	31.6178i	0.0101953	−	1.19079i
$706$	−35.3871	+	33.7973i	−1.33181	+	1.27198i
$707$	5.33937	−	5.33937i	0.200808	−	0.200808i
$708$	−42.8580	−	46.9895i	−1.61070	−	1.76597i
$709$	−23.2312			−0.872467			−0.436233	−	0.899834i	$-0.643688\pi$
$709$	−23.2312			−0.872467			−0.436233	+	0.899834i	$0.643688\pi$
$710$	11.9044	+	0.375555i	0.446764	+	0.0140943i
$711$			26.4294i			0.991180i
$712$	−9.58237	−	0.661530i	−0.359115	−	0.0247919i
$713$	−2.25260	+	2.25260i	−0.0843607	+	0.0843607i
$714$	22.8178	+	23.8912i	0.853935	+	0.894105i
$715$	22.0128	+	3.55047i	0.823231	+	0.132780i
$716$	−0.352938	−	0.0162293i	−0.0131899	−	0.000606518i
$717$	34.1397	+	34.1397i	1.27497	+	1.27497i
$718$	−0.861660	+	37.4967i	−0.0321569	+	1.39936i
$719$	49.2456			1.83655			0.918276	−	0.395940i	$-0.129581\pi$
$719$	49.2456			1.83655			0.918276	+	0.395940i	$0.129581\pi$
$720$	7.04468	−	69.8855i	0.262540	−	2.60448i
$721$		−	9.23498i		−	0.343929i
$722$	−20.8191	−	0.478415i	−0.774806	−	0.0178048i
$723$	51.1135	+	51.1135i	1.90093	+	1.90093i
$724$	27.1922	+	1.25039i	1.01059	+	0.0464704i
$725$	−0.615757	+	35.9571i	−0.0228686	+	1.33541i
$726$	−11.2911	+	10.7838i	−0.419051	+	0.400224i
$727$	−25.1121	−	25.1121i	−0.931356	−	0.931356i	0.0664346	−	0.997791i	$-0.478838\pi$
$727$	−25.1121	−	25.1121i	−0.931356	−	0.931356i	−0.997791	+	0.0664346i	$0.978838\pi$
$728$	−24.0091	+	15.2243i	−0.889838	+	0.564249i
$729$			70.5996i			2.61480i
$730$	−0.744934	+	0.699369i	−0.0275712	+	0.0258848i
$731$			4.94419i			0.182867i
$732$	−33.2839	+	30.3574i	−1.23021	+	1.12204i
$733$	−7.99950	+	7.99950i	−0.295468	+	0.295468i	−0.839236	−	0.543768i	$-0.816997\pi$
$733$	−7.99950	+	7.99950i	−0.295468	+	0.295468i	0.543768	+	0.839236i	$0.316997\pi$
$734$	7.63680	+	7.99604i	0.281880	+	0.295139i
$735$	3.98318	+	4.05198i	0.146922	+	0.149459i
$736$	−6.76318	+	5.36389i	−0.249294	+	0.197715i
$737$	29.1247	−	29.1247i	1.07282	−	1.07282i
$738$	23.0222	+	0.529043i	0.847461	+	0.0194743i
$739$			22.0584i			0.811432i	0.913999	+	0.405716i	$0.132978\pi$
$739$			22.0584i			0.811432i	−0.913999	+	0.405716i	$0.867022\pi$
$740$	−8.88819	−	9.91417i	−0.326736	−	0.364452i
$741$	14.5488	+	19.7854i	0.534463	+	0.726834i
$742$	26.7973	+	0.615792i	0.983760	+	0.0226064i
$743$	7.61946	+	7.61946i	0.279531	+	0.279531i	0.832922	−	0.553391i	$-0.186666\pi$
$743$	7.61946	+	7.61946i	0.279531	+	0.279531i	−0.553391	+	0.832922i	$0.686666\pi$
$744$	−14.6699	+	12.7752i	−0.537825	+	0.468362i
$745$	−24.5189	−	0.209925i	−0.898305	−	0.00769107i
$746$	18.8197	+	19.7050i	0.689040	+	0.721453i
$747$	18.7612	−	18.7612i	0.686438	−	0.686438i
$748$	−10.3953	+	9.48134i	−0.380091	+	0.346672i
$749$	15.8971			0.580866
$750$	38.5804	−	34.9973i	1.40876	−	1.27792i
$751$		−	44.8924i		−	1.63815i	−0.573687	−	0.819074i	$-0.694488\pi$
$751$		−	44.8924i		−	1.63815i	0.573687	−	0.819074i	$-0.305512\pi$
$752$	−13.2033	+	10.9750i	−0.481474	+	0.400216i
$753$	41.2494	+	41.2494i	1.50321	+	1.50321i
$754$	6.36107	−	36.1187i	0.231656	−	1.31536i
$755$	−39.4856	−	0.338066i	−1.43703	−	0.0123035i
$756$	89.0446	+	4.09459i	3.23852	+	0.148919i
$757$	23.9690	−	23.9690i	0.871169	−	0.871169i	−0.121431	−	0.992600i	$-0.538748\pi$
$757$	23.9690	−	23.9690i	0.871169	−	0.871169i	0.992600	+	0.121431i	$0.0387483\pi$
$758$	0.863833	−	37.5912i	0.0313758	−	1.36538i
$759$			13.9030i			0.504647i
$760$	−1.01225	+	13.0371i	−0.0367183	+	0.472907i
$761$			38.3827i			1.39137i	0.718347	+	0.695685i	$0.244899\pi$
$761$			38.3827i			1.39137i	−0.718347	+	0.695685i	$0.755101\pi$
$762$	72.5442	+	1.66704i	2.62800	+	0.0603904i
$763$	−26.1974	+	26.1974i	−0.948410	+	0.948410i
$764$	1.27845	−	27.8023i	0.0462527	−	1.00585i
$765$	31.3126	+	31.8534i	1.13211	+	1.15166i
$766$	−11.1056	−	11.6280i	−0.401262	−	0.420137i
$767$	−5.24742	+	34.4051i	−0.189473	+	1.24229i
$768$	−43.4562	+	29.8318i	−1.56809	+	1.07646i
$769$	22.2289			0.801594			0.400797	−	0.916167i	$-0.368733\pi$
$769$	22.2289			0.801594			0.400797	+	0.916167i	$0.368733\pi$
$770$	−17.7746	+	16.6874i	−0.640554	+	0.601374i
$771$			44.7774i			1.61262i
$772$	−36.5616	+	33.3470i	−1.31588	+	1.20018i
$773$	−29.7075	+	29.7075i	−1.06850	+	1.06850i	−0.0710290	+	0.997474i	$0.522628\pi$
$773$	−29.7075	+	29.7075i	−1.06850	+	1.06850i	−0.997474	+	0.0710290i	$0.977372\pi$
$774$	14.9094	+	15.6107i	0.535906	+	0.561116i
$775$	−10.4368	−	0.178728i	−0.374902	−	0.00642011i
$776$	−14.0079	−	16.0854i	−0.502855	−	0.577434i
$777$	19.3346	−	19.3346i	0.693626	−	0.693626i
$778$	−0.499867	+	21.7526i	−0.0179211	+	0.779870i
$779$	−4.28714			−0.153603
$780$	−44.4469	+	29.0906i	−1.59145	+	1.04161i
$781$	−10.4164			−0.372729
$782$	0.126108	−	5.48782i	0.00450962	−	0.196244i
$783$	−81.3115	+	81.3115i	−2.90584	+	2.90584i
$784$	0.283145	−	3.07226i	0.0101123	−	0.109724i
$785$	−30.7377	+	30.2159i	−1.09708	+	1.07845i
$786$	−0.374470	−	0.392085i	−0.0133569	−	0.0139852i
$787$	−29.9253	+	29.9253i	−1.06672	+	1.06672i	−0.0691119	+	0.997609i	$0.522017\pi$
$787$	−29.9253	+	29.9253i	−1.06672	+	1.06672i	−0.997609	+	0.0691119i	$0.977983\pi$
$788$	2.80028	+	3.07023i	0.0997559	+	0.109372i
$789$			2.06356i			0.0734646i
$790$	10.6374	+	0.335583i	0.378460	+	0.0119395i
$791$	−32.5652			−1.15788
$792$	−4.23079	+	61.2837i	−0.150335	+	2.17762i
$793$	24.3700	+	3.71689i	0.865404	+	0.131990i
$794$	1.17443	+	1.22967i	0.0416789	+	0.0436395i
$795$	50.0827	+	0.428797i	1.77625	+	0.0152078i
$796$	25.1965	+	1.15862i	0.893066	+	0.0410663i
$797$	23.3434	−	23.3434i	0.826866	−	0.826866i	−0.160216	−	0.987082i	$-0.551219\pi$
$797$	23.3434	−	23.3434i	0.826866	−	0.826866i	0.987082	+	0.160216i	$0.0512190\pi$
$798$	−26.8461	−	0.616913i	−0.950341	−	0.0218385i
$799$		−	10.9181i		−	0.386256i
$800$	−28.0382	−	3.72272i	−0.991301	−	0.131618i
$801$		−	26.6685i		−	0.942284i
$802$	0.0673638	−	2.93146i	0.00237870	−	0.103513i
$803$	0.631887	−	0.631887i	0.0222988	−	0.0222988i
$804$	−4.50745	+	98.0232i	−0.158966	+	3.45701i
$805$	0.0814362	−	9.51161i	0.00287025	−	0.335240i
$806$	10.4837	+	1.84635i	0.369274	+	0.0650349i
$807$	46.5080	+	46.5080i	1.63716	+	1.63716i
$808$	−7.64311	−	0.527650i	−0.268884	−	0.0185627i
$809$			33.0140i			1.16071i	0.814364	+	0.580355i	$0.197086\pi$
$809$			33.0140i			1.16071i	−0.814364	+	0.580355i	$0.802914\pi$
$810$	92.0114	+	2.90274i	3.23295	+	0.101992i
$811$	6.20729			0.217967			0.108984	−	0.994044i	$-0.465240\pi$
$811$	6.20729			0.217967			0.108984	+	0.994044i	$0.465240\pi$
$812$	27.0232	+	29.6283i	0.948330	+	1.03975i
$813$	45.7059	−	45.7059i	1.60298	−	1.60298i
$814$	8.04289	+	8.42123i	0.281903	+	0.295164i
$815$	−9.97767	−	10.1500i	−0.349503	−	0.355539i
$816$	3.07619	−	33.3781i	0.107688	−	1.16847i
$817$	−2.84168	−	2.84168i	−0.0994179	−	0.0994179i
$818$	8.01871	+	0.184267i	0.280368	+	0.00644274i
$819$	−46.7604	−	63.5911i	−1.63394	−	2.22205i
$820$	0.505251	−	9.25932i	0.0176441	−	0.323350i
$821$			33.2987i			1.16213i	0.813856	+	0.581067i	$0.197364\pi$
$821$			33.2987i			1.16213i	−0.813856	+	0.581067i	$0.802636\pi$
$822$	−74.9517	−	1.72236i	−2.61424	−	0.0600742i
$823$	24.2581	−	24.2581i	0.845585	−	0.845585i	−0.143994	−	0.989579i	$-0.545995\pi$
$823$	24.2581	−	24.2581i	0.845585	−	0.845585i	0.989579	+	0.143994i	$0.0459946\pi$
$824$	−7.06608	+	6.15345i	−0.246159	+	0.214366i
$825$	−32.7594	+	31.6563i	−1.14054	+	1.10213i
$826$	−26.2833	−	27.5197i	−0.914514	−	0.957533i
$827$	34.2425	−	34.2425i	1.19073	−	1.19073i	0.213864	−	0.976863i	$-0.431395\pi$
$827$	34.2425	−	34.2425i	1.19073	−	1.19073i	0.976863	−	0.213864i	$-0.0686050\pi$
$828$	−16.1506	−	17.7075i	−0.561270	−	0.615377i
$829$		−	4.60028i		−	0.159774i	−0.996804	−	0.0798872i	$-0.974544\pi$
$829$		−	4.60028i		−	0.159774i	0.996804	−	0.0798872i	$-0.0254560\pi$
$830$	−7.31285	−	7.78928i	−0.253833	−	0.270370i
$831$		−	12.6408i		−	0.438506i
$832$	27.6465	+	8.22617i	0.958471	+	0.285191i
$833$	1.38734	+	1.38734i	0.0480684	+	0.0480684i
$834$	−47.0889	+	44.9733i	−1.63055	+	1.55730i
$835$	15.9302	−	15.6597i	0.551286	−	0.541926i
$836$	0.525323	−	11.4242i	0.0181687	−	0.395113i
$837$	−23.6013	−	23.6013i	−0.815781	−	0.815781i
$838$	27.0131	+	0.620751i	0.933153	+	0.0214435i
$839$		−	55.0950i		−	1.90209i	−0.309049	−	0.951046i	$-0.600011\pi$
$839$		−	55.0950i		−	1.90209i	0.309049	−	0.951046i	$-0.399989\pi$
$840$	4.49629	−	57.9092i	0.155137	−	1.99806i
$841$	−22.7316			−0.783848
$842$	−0.660478	+	28.7419i	−0.0227616	+	0.990512i
$843$	25.0846	+	25.0846i	0.863960	+	0.863960i
$844$	0.173616	−	3.77562i	0.00597612	−	0.129962i
$845$	27.6720	+	8.90277i	0.951946	+	0.306265i
$846$	−32.9240	−	34.4728i	−1.13195	−	1.18520i
$847$	−6.60602	+	6.60602i	−0.226985	+	0.226985i
$848$	−17.3844	−	20.9141i	−0.596984	−	0.718193i
$849$		−	42.9612i		−	1.47442i
$850$	13.2180	−	12.1983i	0.453374	−	0.418399i
$851$	−4.54324			−0.155740
$852$	18.3350	−	16.7229i	0.628146	−	0.572917i
$853$	−14.2077	+	14.2077i	−0.486464	+	0.486464i	−0.907188	−	0.420724i	$-0.861776\pi$
$853$	−14.2077	+	14.2077i	−0.486464	+	0.486464i	0.420724	+	0.907188i	$0.361776\pi$
$854$	−19.4929	+	18.6172i	−0.667034	+	0.637066i
$855$	−36.3048	−	0.310833i	−1.24160	−	0.0106303i
$856$	−10.5925	−	12.1635i	−0.362046	−	0.415741i
$857$	21.8873	−	21.8873i	0.747654	−	0.747654i	−0.226384	−	0.974038i	$-0.572690\pi$
$857$	21.8873	−	21.8873i	0.747654	−	0.747654i	0.974038	+	0.226384i	$0.0726903\pi$
$858$	38.0504	−	26.6548i	1.29902	−	0.909980i
$859$	12.7489			0.434987			0.217494	−	0.976062i	$-0.430212\pi$
$859$	12.7489			0.434987			0.217494	+	0.976062i	$0.430212\pi$
$860$	6.47234	−	5.80254i	0.220705	−	0.197865i
$861$	19.0429			0.648980
$862$	48.5754	+	1.11624i	1.65448	+	0.0380194i
$863$	10.9472	+	10.9472i	0.372647	+	0.372647i	0.868440	−	0.495794i	$-0.165123\pi$
$863$	10.9472	+	10.9472i	0.372647	+	0.372647i	−0.495794	+	0.868440i	$0.665123\pi$
$864$	−56.1993	−	70.8602i	−1.91194	−	2.41071i
$865$	5.63131	+	5.72857i	0.191470	+	0.194777i
$866$	−28.9962	−	30.3602i	−0.985331	−	1.03168i
$867$	−24.5288	−	24.5288i	−0.833042	−	0.833042i
$868$	−8.59985	+	7.84371i	−0.291898	+	0.266233i
$869$	−9.30775			−0.315744
$870$	51.2862	+	54.6276i	1.73877	+	1.85205i
$871$	43.2607	−	31.8108i	1.46583	−	1.07787i
$872$	37.5006	+	2.58890i	1.26993	+	0.0876711i
$873$	41.8760	−	41.8760i	1.41729	−	1.41729i
$874$	3.08166	+	3.22662i	0.104239	+	0.109142i
$875$	22.5975	−	21.4655i	0.763935	−	0.725667i
$876$	−0.0977931	+	2.12670i	−0.00330412	+	0.0718545i
$877$	12.5512	+	12.5512i	0.423825	+	0.423825i	0.886519	−	0.462693i	$-0.153117\pi$
$877$	12.5512	+	12.5512i	0.423825	+	0.423825i	−0.462693	+	0.886519i	$0.653117\pi$
$878$	23.5699	+	0.541628i	0.795446	+	0.0182791i
$879$			7.79935i			0.263066i
$880$	24.6119	+	2.48096i	0.829666	+	0.0836330i
$881$	−24.6194			−0.829449			−0.414724	−	0.909947i	$-0.636122\pi$
$881$	−24.6194			−0.829449			−0.414724	+	0.909947i	$0.636122\pi$
$882$	8.56392	+	0.196796i	0.288362	+	0.00662645i
$883$	5.17226	−	5.17226i	0.174060	−	0.174060i	−0.614700	−	0.788761i	$-0.710723\pi$
$883$	5.17226	−	5.17226i	0.174060	−	0.174060i	0.788761	+	0.614700i	$0.210723\pi$
$884$	−15.2611	+	10.1761i	−0.513288	+	0.342260i
$885$	−49.8470	−	50.7080i	−1.67559	−	1.70453i
$886$	31.3993	−	29.9886i	1.05488	−	1.00749i
$887$	4.95615	+	4.95615i	0.166411	+	0.166411i	0.785400	−	0.618989i	$-0.212457\pi$
$887$	4.95615	+	4.95615i	0.166411	+	0.166411i	−0.618989	+	0.785400i	$0.712457\pi$
$888$	−27.6768	−	1.91070i	−0.928773	−	0.0641189i
$889$	43.4184			1.45621
$890$	−10.7336	−	0.338619i	−0.359790	−	0.0113505i
$891$	−80.5106			−2.69721
$892$	−32.3192	−	35.4348i	−1.08213	−	1.18644i
$893$	6.27522	+	6.27522i	0.209992	+	0.209992i
$894$	−36.9454	+	35.2856i	−1.23564	+	1.18013i
$895$	−0.394999	−	0.00338189i	−0.0132034	−	0.000113044i
$896$	−25.5852	+	18.4426i	−0.854741	+	0.616122i
$897$	−2.73285	+	17.9181i	−0.0912471	+	0.598267i
$898$	44.1721	+	1.01506i	1.47404	+	0.0338729i
$899$		−	15.0155i		−	0.500795i
$900$	4.94996	−	78.3742i	0.164999	−	2.61247i
$901$	17.2944			0.576160
$902$	−0.186315	+	8.10784i	−0.00620362	+	0.269962i
$903$	12.6224	+	12.6224i	0.420046	+	0.420046i
$904$	21.6988	+	24.9170i	0.721693	+	0.828728i
$905$	30.4328	+	0.260558i	1.01162	+	0.00866125i
$906$	−59.4973	+	56.8243i	−1.97667	+	1.88786i
$907$	19.1464	+	19.1464i	0.635747	+	0.635747i	0.949503	−	0.313757i	$-0.101588\pi$
$907$	19.1464	+	19.1464i	0.635747	+	0.635747i	−0.313757	+	0.949503i	$0.601588\pi$
$908$	−24.8751	+	22.6880i	−0.825510	+	0.752928i
$909$		−	21.2714i		−	0.705526i
$910$	−26.1880	+	18.0128i	−0.868124	+	0.597118i
$911$		−	7.23745i		−	0.239787i	−0.992787	−	0.119894i	$-0.961745\pi$
$911$		−	7.23745i		−	0.239787i	0.992787	−	0.119894i	$-0.0382554\pi$
$912$	17.4161	+	20.9522i	0.576703	+	0.693795i
$913$	6.60723	+	6.60723i	0.218667	+	0.218667i
$914$	−30.9545	−	32.4106i	−1.02388	−	1.07205i
$915$	−35.9178	+	35.3080i	−1.18741	+	1.16725i
$916$	22.6718	+	1.04253i	0.749096	+	0.0344461i
$917$	−0.229395	−	0.229395i	−0.00757530	−	0.00757530i
$918$	57.4978	+	1.32128i	1.89771	+	0.0436087i
$919$	10.7419			0.354342			0.177171	−	0.984180i	$-0.443305\pi$
$919$	10.7419			0.354342			0.177171	+	0.984180i	$0.443305\pi$
$920$	−7.33200	+	6.27547i	−0.241729	+	0.206896i
$921$		−	91.5490i		−	3.01664i
$922$	−0.484785	+	21.0963i	−0.0159656	+	0.694770i
$923$	−13.4246	−	2.04751i	−0.441877	−	0.0673946i
$924$	−2.33341	+	50.7446i	−0.0767637	+	1.66937i
$925$	−10.3447	−	10.7052i	−0.340131	−	0.351984i
$926$	17.3369	+	18.1525i	0.569728	+	0.596528i
$927$	−18.3955	−	18.3955i	−0.604187	−	0.604187i
$928$	4.66373	−	40.4186i	0.153095	−	1.32680i
$929$	8.77452			0.287883			0.143941	−	0.989586i	$-0.454022\pi$
$929$	8.77452			0.287883			0.143941	+	0.989586i	$0.454022\pi$
$930$	−15.8561	+	14.8862i	−0.519942	+	0.488139i
$931$	−1.59475			−0.0522658
$932$	−26.5041	−	29.0591i	−0.868172	−	0.951863i
$933$	−78.5193	−	78.5193i	−2.57061	−	2.57061i
$934$	−19.7422	−	20.6709i	−0.645985	−	0.676373i
$935$	−11.2180	+	11.0275i	−0.366867	+	0.360638i
$936$	−17.4989	+	78.1504i	−0.571968	+	2.55443i
$937$	32.7992	−	32.7992i	1.07150	−	1.07150i	0.0742661	−	0.997238i	$-0.476339\pi$
$937$	32.7992	−	32.7992i	1.07150	−	1.07150i	0.997238	−	0.0742661i	$-0.0236614\pi$
$938$	−1.34888	+	58.6989i	−0.0440424	+	1.91659i
$939$	66.7158			2.17719
$940$	−14.2927	+	12.8136i	−0.466177	+	0.417934i
$941$		−	19.2482i		−	0.627473i	−0.949510	−	0.313736i	$-0.898419\pi$
$941$		−	19.2482i		−	0.627473i	0.949510	−	0.313736i	$-0.101581\pi$
$942$	−2.06317	+	89.7824i	−0.0672216	+	2.92527i
$943$	−2.23734	−	2.23734i	−0.0728579	−	0.0728579i
$944$	−3.54339	+	38.4474i	−0.115328	+	1.25136i
$945$	99.6565	+	0.853235i	3.24182	+	0.0277557i
$946$	−5.49769	+	5.25070i	−0.178745	+	0.170715i
$947$	6.83224	−	6.83224i	0.222018	−	0.222018i	−0.587330	−	0.809348i	$-0.699821\pi$
$947$	6.83224	−	6.83224i	0.222018	−	0.222018i	0.809348	+	0.587330i	$0.199821\pi$
$948$	16.3835	−	14.9430i	0.532111	−	0.485326i
$949$	0.938578	−	0.690164i	0.0304675	−	0.0224037i
$950$	−0.586079	+	14.6081i	−0.0190149	+	0.473949i
$951$	−89.3864			−2.89855
$952$	1.38133	−	20.0088i	0.0447693	−	0.648491i
$953$	15.3847	+	15.3847i	0.498360	+	0.498360i	0.910927	−	0.412567i	$-0.135368\pi$
$953$	15.3847	+	15.3847i	0.498360	+	0.498360i	−0.412567	+	0.910927i	$0.635368\pi$
$954$	54.6051	−	52.1519i	1.76791	−	1.68848i
$955$	0.266405	−	31.1157i	0.00862066	−	1.00688i
$956$	1.34639	−	29.2799i	0.0435455	−	0.946981i
$957$	−46.3376	−	46.3376i	−1.49788	−	1.49788i
$958$	−0.0127649	+	0.555489i	−0.000412416	+	0.0179470i
$959$	−44.8593			−1.44858
$960$	−47.3048	+	35.1458i	−1.52676	+	1.13433i
$961$	−26.6416			−0.859407
$962$	8.71030	+	12.4342i	0.280831	+	0.400894i
$963$	31.6659	−	31.6659i	1.02042	−	1.02042i
$964$	2.01581	−	43.8376i	0.0649247	−	1.41191i
$965$	−39.4549	+	38.7850i	−1.27010	+	1.24853i
$966$	−13.6883	−	14.3322i	−0.440414	−	0.461131i
$967$	8.30264	−	8.30264i	0.266995	−	0.266995i	−0.560893	−	0.827888i	$-0.689542\pi$
$967$	8.30264	−	8.30264i	0.266995	−	0.266995i	0.827888	+	0.560893i	$0.189542\pi$
$968$	9.45627	+	0.652824i	0.303936	+	0.0209826i
$969$	−17.3259			−0.556588
$970$	−16.3226	−	17.3861i	−0.524088	−	0.558233i
$971$			18.4848i			0.593205i	0.955001	+	0.296603i	$0.0958537\pi$
$971$			18.4848i			0.593205i	−0.955001	+	0.296603i	$0.904146\pi$
$972$	70.8399	−	64.6113i	2.27219	−	2.07241i
$973$	−27.5501	+	27.5501i	−0.883215	+	0.883215i
$974$	−12.6755	+	12.1060i	−0.406150	+	0.387902i
$975$	−48.4426	+	34.3591i	−1.55141	+	1.10037i
$976$	27.2333	+	2.50988i	0.871717	+	0.0803392i
$977$	2.64245	+	2.64245i	0.0845395	+	0.0845395i	0.748112	−	0.663572i	$-0.230961\pi$
$977$	2.64245	+	2.64245i	0.0845395	+	0.0845395i	−0.663572	+	0.748112i	$0.730961\pi$
$978$	−29.6473	−	0.681284i	−0.948017	−	0.0217851i
$979$	9.39195			0.300168
$980$	0.187946	−	3.44432i	0.00600370	−	0.110025i
$981$			104.367i			3.33218i
$982$	0.0803547	−	3.49678i	0.00256422	−	0.111587i
$983$	−2.55748	−	2.55748i	−0.0815708	−	0.0815708i	0.665144	−	0.746715i	$-0.268370\pi$
$983$	−2.55748	−	2.55748i	−0.0815708	−	0.0815708i	−0.746715	+	0.665144i	$0.768370\pi$
$984$	−12.6887	−	14.5705i	−0.404500	−	0.464492i
$985$	3.25694	+	3.31319i	0.103775	+	0.105567i
$986$	17.8702	+	18.7108i	0.569103	+	0.595873i
$987$	−27.8737	−	27.8737i	−0.887230	−	0.887230i
$988$	2.92262	−	14.6201i	0.0929811	−	0.465128i
$989$		−	2.96600i		−	0.0943132i
$990$	−2.16562	+	68.6462i	−0.0688280	+	2.18172i
$991$			4.79719i			0.152388i	0.997093	+	0.0761939i	$0.0242768\pi$
$991$			4.79719i			0.152388i	−0.997093	+	0.0761939i	$0.975723\pi$
$992$	11.7318	+	1.35369i	0.372485	+	0.0429796i
$993$	−31.9927	+	31.9927i	−1.01526	+	1.01526i
$994$	10.7380	−	10.2556i	0.340589	−	0.325287i
$995$	28.1993	+	0.241435i	0.893977	+	0.00765402i
$996$	−22.2375	−	1.02256i	−0.704622	−	0.0324010i
$997$	24.0505	−	24.0505i	0.761686	−	0.761686i	−0.214941	−	0.976627i	$-0.568956\pi$
$997$	24.0505	−	24.0505i	0.761686	−	0.761686i	0.976627	+	0.214941i	$0.0689560\pi$
$998$	0.571923	−	24.8883i	0.0181039	−	0.787824i
$999$		−	47.6011i		−	1.50603i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.p.d.103.1	✓	64
4.3	odd	2	inner	260.2.p.d.103.16	yes	64
5.2	odd	4	inner	260.2.p.d.207.17	yes	64
13.12	even	2	inner	260.2.p.d.103.32	yes	64
20.7	even	4	inner	260.2.p.d.207.32	yes	64
52.51	odd	2	inner	260.2.p.d.103.17	yes	64
65.12	odd	4	inner	260.2.p.d.207.16	yes	64
260.207	even	4	inner	260.2.p.d.207.1	yes	64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.p.d.103.1	✓	64	1.1	even	1	trivial
260.2.p.d.103.16	yes	64	4.3	odd	2	inner
260.2.p.d.103.17	yes	64	52.51	odd	2	inner
260.2.p.d.103.32	yes	64	13.12	even	2	inner
260.2.p.d.207.1	yes	64	260.207	even	4	inner
260.2.p.d.207.16	yes	64	65.12	odd	4	inner
260.2.p.d.207.17	yes	64	5.2	odd	4	inner
260.2.p.d.207.32	yes	64	20.7	even	4	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.p (of order \(4\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41384 - 0.0324895i) q^{2} +(-2.32949 + 2.32949i) q^{3} +(1.99789 + 0.0918700i) q^{4} +(2.23599 + 0.0191440i) q^{5} +(3.36921 - 3.21784i) q^{6} +(1.97121 - 1.97121i) q^{7} +(-2.82171 - 0.194800i) q^{8} -7.85303i q^{9} +O(q^{10})\)	\(q+(-1.41384 - 0.0324895i) q^{2} +(-2.32949 + 2.32949i) q^{3} +(1.99789 + 0.0918700i) q^{4} +(2.23599 + 0.0191440i) q^{5} +(3.36921 - 3.21784i) q^{6} +(1.97121 - 1.97121i) q^{7} +(-2.82171 - 0.194800i) q^{8} -7.85303i q^{9} +(-3.16071 - 0.0997126i) q^{10} +2.76564 q^{11} +(-4.86807 + 4.44005i) q^{12} +(3.56433 + 0.543628i) q^{13} +(-2.85102 + 2.72293i) q^{14} +(-5.25330 + 5.16411i) q^{15} +(3.98312 + 0.367092i) q^{16} +(-1.79865 + 1.79865i) q^{17} +(-0.255141 + 11.1029i) q^{18} -2.06756i q^{19} +(4.46549 + 0.243668i) q^{20} +9.18381i q^{21} +(-3.91017 - 0.0898542i) q^{22} +(1.07900 - 1.07900i) q^{23} +(7.02693 - 6.11936i) q^{24} +(4.99927 + 0.0856113i) q^{25} +(-5.02174 - 0.884407i) q^{26} +(11.3051 + 11.3051i) q^{27} +(4.11935 - 3.75716i) q^{28} +7.19247i q^{29} +(7.59511 - 7.13055i) q^{30} -2.08767 q^{31} +(-5.61957 - 0.648419i) q^{32} +(-6.44252 + 6.44252i) q^{33} +(2.60144 - 2.48457i) q^{34} +(4.44533 - 4.36986i) q^{35} +(0.721458 - 15.6895i) q^{36} +(-2.10529 - 2.10529i) q^{37} +(-0.0671739 + 2.92320i) q^{38} +(-9.56945 + 7.03670i) q^{39} +(-6.30558 - 0.489589i) q^{40} -2.07353i q^{41} +(0.298378 - 12.9844i) q^{42} +(1.37442 - 1.37442i) q^{43} +(5.52543 + 0.254079i) q^{44} +(0.150338 - 17.5593i) q^{45} +(-1.56059 + 1.49048i) q^{46} +(-3.03509 + 3.03509i) q^{47} +(-10.1338 + 8.42350i) q^{48} -0.771320i q^{49} +(-7.06538 - 0.283465i) q^{50} -8.37988i q^{51} +(7.07120 + 1.41356i) q^{52} +(-4.80760 - 4.80760i) q^{53} +(-15.6163 - 16.3509i) q^{54} +(6.18392 + 0.0529453i) q^{55} +(-5.94617 + 5.17819i) q^{56} +(4.81635 + 4.81635i) q^{57} +(0.233680 - 10.1690i) q^{58} +9.65260i q^{59} +(-10.9699 + 9.83469i) q^{60} +6.83718 q^{61} +(2.95163 + 0.0678274i) q^{62} +(-15.4800 - 15.4800i) q^{63} +(7.92411 + 1.09934i) q^{64} +(7.95939 + 1.28378i) q^{65} +(9.31801 - 8.89938i) q^{66} +(10.5309 - 10.5309i) q^{67} +(-3.75875 + 3.42827i) q^{68} +5.02705i q^{69} +(-6.42696 + 6.03385i) q^{70} -3.76638 q^{71} +(-1.52977 + 22.1590i) q^{72} +(0.228478 - 0.228478i) q^{73} +(2.90815 + 3.04495i) q^{74} +(-11.8452 + 11.4463i) q^{75} +(0.189946 - 4.13075i) q^{76} +(5.45164 - 5.45164i) q^{77} +(13.7583 - 9.63786i) q^{78} -3.36550 q^{79} +(8.89917 + 0.897065i) q^{80} -29.1110 q^{81} +(-0.0673679 + 2.93164i) q^{82} +(2.38904 + 2.38904i) q^{83} +(-0.843717 + 18.3482i) q^{84} +(-4.05619 + 3.98733i) q^{85} +(-1.98786 + 1.89855i) q^{86} +(-16.7548 - 16.7548i) q^{87} +(-7.80383 - 0.538746i) q^{88} +3.39594 q^{89} +(-0.783047 + 24.8211i) q^{90} +(8.09764 - 5.95444i) q^{91} +(2.25486 - 2.05660i) q^{92} +(4.86321 - 4.86321i) q^{93} +(4.38974 - 4.19252i) q^{94} +(0.0395813 - 4.62303i) q^{95} +(14.6012 - 11.5802i) q^{96} +(5.33246 + 5.33246i) q^{97} +(-0.0250598 + 1.09052i) q^{98} -21.7186i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q+O(q^{10}) \) 64 * q	\( 64 q - 24 q^{12} - 4 q^{16} - 40 q^{17} - 36 q^{22} + 44 q^{26} + 24 q^{30} + 28 q^{36} + 16 q^{38} - 44 q^{40} + 8 q^{42} - 44 q^{48} + 56 q^{52} - 48 q^{53} - 64 q^{56} + 80 q^{61} + 20 q^{62} - 72 q^{65} - 24 q^{66} - 76 q^{68} - 112 q^{77} - 20 q^{78} + 80 q^{81} + 52 q^{82} - 152 q^{88} - 64 q^{90} + 56 q^{92}+O(q^{100}) \) 64 * q - 24 * q^12 - 4 * q^16 - 40 * q^17 - 36 * q^22 + 44 * q^26 + 24 * q^30 + 28 * q^36 + 16 * q^38 - 44 * q^40 + 8 * q^42 - 44 * q^48 + 56 * q^52 - 48 * q^53 - 64 * q^56 + 80 * q^61 + 20 * q^62 - 72 * q^65 - 24 * q^66 - 76 * q^68 - 112 * q^77 - 20 * q^78 + 80 * q^81 + 52 * q^82 - 152 * q^88 - 64 * q^90 + 56 * q^92

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