LMFDB - Embedded newform 920.2.bb.b.11.25

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [920,2,Mod(11,920)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(920, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 11, 0, 9])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("920.11"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 920 = 2^{3} \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	920.bb (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [480,2,0,-4,48] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(5)] == traces)

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

Self dual:	no
Analytic conductor:	$7.34623698596$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$48$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			11.25
Character	$\chi$	$=$	920.11
Dual form			920.2.bb.b.251.25

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.0459046 + 1.41347i) q^{2} +(0.319837 - 2.22451i) q^{3} +(-1.99579 - 0.129770i) q^{4} +(0.959493 - 0.281733i) q^{5} +(3.12960 + 0.554195i) q^{6} +(-0.470129 - 0.542558i) q^{7} +(0.275041 - 2.81502i) q^{8} +(-1.96769 - 0.577767i) q^{9} +(0.354175 + 1.36915i) q^{10} +(0.0968928 - 0.150768i) q^{11} +(-0.927000 + 4.39815i) q^{12} +(-4.77506 - 4.13762i) q^{13} +(0.788470 - 0.639607i) q^{14} +(-0.319837 - 2.22451i) q^{15} +(3.96632 + 0.517984i) q^{16} +(0.839909 - 0.383573i) q^{17} +(0.906981 - 2.75475i) q^{18} +(-0.153192 - 0.0699606i) q^{19} +(-1.95150 + 0.437765i) q^{20} +(-1.35729 + 0.872280i) q^{21} +(0.208658 + 0.143876i) q^{22} +(-4.51547 + 1.61572i) q^{23} +(-6.17409 - 1.51218i) q^{24} +(0.841254 - 0.540641i) q^{25} +(6.06759 - 6.55946i) q^{26} +(0.886208 - 1.94052i) q^{27} +(0.867870 + 1.14384i) q^{28} +(-4.18618 + 1.91177i) q^{29} +(3.15896 - 0.349964i) q^{30} +(5.97499 - 0.859074i) q^{31} +(-0.914227 + 5.58249i) q^{32} +(-0.304396 - 0.263761i) q^{33} +(0.503613 + 1.20479i) q^{34} +(-0.603942 - 0.388130i) q^{35} +(3.85212 + 1.40844i) q^{36} +(-10.1890 - 2.99176i) q^{37} +(0.105919 - 0.213321i) q^{38} +(-10.7314 + 9.29884i) q^{39} +(-0.529184 - 2.77848i) q^{40} +(-3.27821 + 0.962568i) q^{41} +(-1.17063 - 1.95853i) q^{42} +(-0.788426 - 0.113359i) q^{43} +(-0.212942 + 0.288327i) q^{44} -2.05076 q^{45} +(-2.07648 - 6.45664i) q^{46} +0.573162i q^{47} +(2.42084 - 8.65747i) q^{48} +(0.922856 - 6.41861i) q^{49} +(0.725561 + 1.21390i) q^{50} +(-0.584631 - 1.99107i) q^{51} +(8.99306 + 8.87745i) q^{52} +(-2.71012 - 3.12764i) q^{53} +(2.70219 + 1.34171i) q^{54} +(0.0504917 - 0.171959i) q^{55} +(-1.65662 + 1.17420i) q^{56} +(-0.204625 + 0.318403i) q^{57} +(-2.51006 - 6.00480i) q^{58} +(5.33984 - 6.16250i) q^{59} +(0.349652 + 4.48116i) q^{60} +(-1.26232 - 8.77960i) q^{61} +(0.939994 + 8.48490i) q^{62} +(0.611598 + 1.33921i) q^{63} +(-7.84870 - 1.54849i) q^{64} +(-5.74734 - 2.62472i) q^{65} +(0.386791 - 0.418147i) q^{66} +(0.841448 + 1.30932i) q^{67} +(-1.72605 + 0.656536i) q^{68} +(2.14997 + 10.5615i) q^{69} +(0.576333 - 0.835836i) q^{70} +(5.17146 + 8.04695i) q^{71} +(-2.16762 + 5.38019i) q^{72} +(-0.463174 + 1.01421i) q^{73} +(4.69648 - 14.2645i) q^{74} +(-0.933600 - 2.04430i) q^{75} +(0.296660 + 0.159506i) q^{76} +(-0.127353 + 0.0183105i) q^{77} +(-12.6510 - 15.5954i) q^{78} +(3.93088 - 4.53647i) q^{79} +(3.95159 - 0.620439i) q^{80} +(-9.20892 - 5.91821i) q^{81} +(-1.21007 - 4.67783i) q^{82} +(2.87550 - 9.79305i) q^{83} +(2.82206 - 1.56475i) q^{84} +(0.697821 - 0.604666i) q^{85} +(0.196421 - 1.10921i) q^{86} +(2.91386 + 9.92368i) q^{87} +(-0.397766 - 0.314223i) q^{88} +(-7.00700 - 1.00745i) q^{89} +(0.0941395 - 2.89869i) q^{90} +4.53596i q^{91} +(9.22158 - 2.63865i) q^{92} -13.5662i q^{93} +(-0.810147 - 0.0263108i) q^{94} +(-0.166697 - 0.0239674i) q^{95} +(12.1259 + 3.81920i) q^{96} +(-5.05401 - 17.2124i) q^{97} +(9.03013 + 1.59907i) q^{98} +(-0.277764 + 0.240684i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q + 2 q^{2} - 4 q^{4} + 48 q^{5} + 5 q^{6} - q^{8} - 48 q^{9} - 2 q^{10} + 3 q^{12} - 56 q^{16} + 7 q^{18} + 4 q^{20} - 8 q^{21} - 4 q^{23} + 2 q^{24} - 48 q^{25} + 7 q^{26} + 12 q^{27} - 5 q^{30}+ \cdots - 98 q^{98}+O(q^{100}) $ 480 * q + 2 * q^2 - 4 * q^4 + 48 * q^5 + 5 * q^6 - q^8 - 48 * q^9 - 2 * q^10 + 3 * q^12 - 56 * q^16 + 7 * q^18 + 4 * q^20 - 8 * q^21 - 4 * q^23 + 2 * q^24 - 48 * q^25 + 7 * q^26 + 12 * q^27 - 5 * q^30 + 102 * q^32 + q^34 + 54 * q^36 - 8 * q^37 - 45 * q^38 + 45 * q^40 + 10 * q^42 + 23 * q^44 - 480 * q^45 + 32 * q^46 + 154 * q^48 - 48 * q^49 - 9 * q^50 - 7 * q^52 - 32 * q^53 - 27 * q^54 + 43 * q^56 - 40 * q^58 - 12 * q^59 + 8 * q^60 + 8 * q^61 + 158 * q^62 - 73 * q^64 - 88 * q^66 - 10 * q^68 + 20 * q^69 + 3 * q^72 - 11 * q^74 - 110 * q^76 - 300 * q^78 + 144 * q^79 + q^80 - 56 * q^81 - 59 * q^82 - 146 * q^84 + 18 * q^86 - 100 * q^88 - 7 * q^90 + 19 * q^92 - 316 * q^94 + 65 * q^96 - 98 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/920\mathbb{Z}\right)^\times$.

$n$	$231$	$281$	$461$	$737$
$\chi(n)$	$-1$	$e\left(\frac{9}{22}\right)$	$-1$	$1$

Coefficient data

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

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

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

$2$	−0.0459046	+	1.41347i	−0.0324595	+	0.999473i
$2$	−0.0459046	+	1.41347i	−0.0324595	+	0.999473i
$3$	0.319837	−	2.22451i	0.184658	−	1.28432i	−0.660914	−	0.750462i	$-0.729831\pi$
$3$	0.319837	−	2.22451i	0.184658	−	1.28432i	0.845571	−	0.533862i	$-0.179260\pi$
$4$	−1.99579	−	0.129770i	−0.997893	−	0.0648848i
$5$	0.959493	−	0.281733i	0.429098	−	0.125995i
$5$	0.959493	−	0.281733i	0.429098	−	0.125995i
$6$	3.12960	+	0.554195i	1.27765	+	0.226249i
$7$	−0.470129	−	0.542558i	−0.177692	−	0.205068i	0.659916	−	0.751340i	$-0.270592\pi$
$7$	−0.470129	−	0.542558i	−0.177692	−	0.205068i	−0.837608	+	0.546272i	$0.816047\pi$
$8$	0.275041	−	2.81502i	0.0972417	−	0.995261i
$9$	−1.96769	−	0.577767i	−0.655897	−	0.192589i
$10$	0.354175	+	1.36915i	0.112000	+	0.432962i
$11$	0.0968928	−	0.150768i	0.0292143	−	0.0454583i	−0.826339	−	0.563173i	$-0.809581\pi$
$11$	0.0968928	−	0.150768i	0.0292143	−	0.0454583i	0.855554	+	0.517714i	$0.173217\pi$
$12$	−0.927000	+	4.39815i	−0.267602	+	1.26964i
$13$	−4.77506	−	4.13762i	−1.32436	−	1.14757i	−0.977800	−	0.209542i	$-0.932803\pi$
$13$	−4.77506	−	4.13762i	−1.32436	−	1.14757i	−0.346564	−	0.938026i	$-0.612652\pi$
$14$	0.788470	−	0.639607i	0.210727	−	0.170942i
$15$	−0.319837	−	2.22451i	−0.0825815	−	0.574367i
$16$	3.96632	+	0.517984i	0.991580	+	0.129496i
$17$	0.839909	−	0.383573i	0.203708	−	0.0930302i	−0.310949	−	0.950427i	$-0.600647\pi$
$17$	0.839909	−	0.383573i	0.203708	−	0.0930302i	0.514656	+	0.857396i	$0.327919\pi$
$18$	0.906981	−	2.75475i	0.213777	−	0.649300i
$19$	−0.153192	−	0.0699606i	−0.0351447	−	0.0160501i	0.397765	−	0.917487i	$-0.369786\pi$
$19$	−0.153192	−	0.0699606i	−0.0351447	−	0.0160501i	−0.432910	+	0.901437i	$0.642513\pi$
$20$	−1.95150	+	0.437765i	−0.436369	+	0.0978872i
$21$	−1.35729	+	0.872280i	−0.296186	+	0.190347i
$22$	0.208658	+	0.143876i	0.0444861	+	0.0306744i
$23$	−4.51547	+	1.61572i	−0.941540	+	0.336900i
$23$	−4.51547	+	1.61572i	−0.941540	+	0.336900i
$24$	−6.17409	−	1.51218i	−1.26028	−	0.308673i
$25$	0.841254	−	0.540641i	0.168251	−	0.108128i
$26$	6.06759	−	6.55946i	1.18995	−	1.28642i
$27$	0.886208	−	1.94052i	0.170551	−	0.373454i
$28$	0.867870	+	1.14384i	0.164012	+	0.216165i
$29$	−4.18618	+	1.91177i	−0.777355	+	0.355006i	−0.764260	−	0.644908i	$-0.776896\pi$
$29$	−4.18618	+	1.91177i	−0.777355	+	0.355006i	−0.0130947	+	0.999914i	$0.504168\pi$
$30$	3.15896	−	0.349964i	0.576745	−	0.0638944i
$31$	5.97499	−	0.859074i	1.07314	−	0.154294i	0.416980	−	0.908916i	$-0.363089\pi$
$31$	5.97499	−	0.859074i	1.07314	−	0.154294i	0.656160	+	0.754621i	$0.272179\pi$
$32$	−0.914227	+	5.58249i	−0.161614	+	0.986854i
$33$	−0.304396	−	0.263761i	−0.0529886	−	0.0459149i
$34$	0.503613	+	1.20479i	0.0863689	+	0.206620i
$35$	−0.603942	−	0.388130i	−0.102085	−	0.0656059i
$36$	3.85212	+	1.40844i	0.642019	+	0.234741i
$37$	−10.1890	−	2.99176i	−1.67506	−	0.491842i	−0.700066	−	0.714078i	$-0.746846\pi$
$37$	−10.1890	−	2.99176i	−1.67506	−	0.491842i	−0.974993	+	0.222236i	$0.928664\pi$
$38$	0.105919	−	0.213321i	0.0171824	−	0.0346053i
$39$	−10.7314	+	9.29884i	−1.71840	+	1.48901i
$40$	−0.529184	−	2.77848i	−0.0836713	−	0.439317i
$41$	−3.27821	+	0.962568i	−0.511970	+	0.150328i	−0.527506	−	0.849551i	$-0.676873\pi$
$41$	−3.27821	+	0.962568i	−0.511970	+	0.150328i	0.0155360	+	0.999879i	$0.495055\pi$
$42$	−1.17063	−	1.95853i	−0.180633	−	0.302208i
$43$	−0.788426	−	0.113359i	−0.120234	−	0.0172870i	0.0819352	−	0.996638i	$-0.473890\pi$
$43$	−0.788426	−	0.113359i	−0.120234	−	0.0172870i	−0.202169	+	0.979351i	$0.564799\pi$
$44$	−0.212942	+	0.288327i	−0.0321023	+	0.0434670i
$45$	−2.05076			−0.305710
$46$	−2.07648	−	6.45664i	−0.306161	−	0.951980i
$47$			0.573162i			0.0836043i	0.999126	+	0.0418022i	$0.0133099\pi$
$47$			0.573162i			0.0836043i	−0.999126	+	0.0418022i	$0.986690\pi$
$48$	2.42084	−	8.65747i	0.349418	−	1.24960i
$49$	0.922856	−	6.41861i	0.131837	−	0.916944i
$50$	0.725561	+	1.21390i	0.102610	+	0.171672i
$51$	−0.584631	−	1.99107i	−0.0818647	−	0.278806i
$52$	8.99306	+	8.87745i	1.24711	+	1.23108i
$53$	−2.71012	−	3.12764i	−0.372264	−	0.429615i	0.538448	−	0.842659i	$-0.319011\pi$
$53$	−2.71012	−	3.12764i	−0.372264	−	0.429615i	−0.910711	+	0.413044i	$0.864466\pi$
$54$	2.70219	+	1.34171i	0.367721	+	0.182583i
$55$	0.0504917	−	0.171959i	0.00680830	−	0.0231869i
$56$	−1.65662	+	1.17420i	−0.221375	+	0.156909i
$57$	−0.204625	+	0.318403i	−0.0271033	+	0.0421735i
$58$	−2.51006	−	6.00480i	−0.329586	−	0.788468i
$59$	5.33984	−	6.16250i	0.695188	−	0.802290i	−0.292906	−	0.956141i	$-0.594622\pi$
$59$	5.33984	−	6.16250i	0.695188	−	0.802290i	0.988094	+	0.153851i	$0.0491677\pi$
$60$	0.349652	+	4.48116i	0.0451398	+	0.578515i
$61$	−1.26232	−	8.77960i	−0.161623	−	1.12411i	−0.895575	−	0.444911i	$-0.853235\pi$
$61$	−1.26232	−	8.77960i	−0.161623	−	1.12411i	0.733952	−	0.679201i	$-0.237674\pi$
$62$	0.939994	+	8.48490i	0.119379	+	1.07758i
$63$	0.611598	+	1.33921i	0.0770541	+	0.168725i
$64$	−7.84870	−	1.54849i	−0.981088	−	0.193562i
$65$	−5.74734	−	2.62472i	−0.712870	−	0.325557i
$66$	0.386791	−	0.418147i	0.0476106	−	0.0514703i
$67$	0.841448	+	1.30932i	0.102799	+	0.159959i	0.888843	−	0.458213i	$-0.151510\pi$
$67$	0.841448	+	1.30932i	0.102799	+	0.159959i	−0.786043	+	0.618171i	$0.787874\pi$
$68$	−1.72605	+	0.656536i	−0.209315	+	0.0796166i
$69$	2.14997	+	10.5615i	0.258826	+	1.27145i
$70$	0.576333	−	0.835836i	0.0688850	−	0.0999015i
$71$	5.17146	+	8.04695i	0.613739	+	0.954997i	0.999475	+	0.0323877i	$0.0103111\pi$
$71$	5.17146	+	8.04695i	0.613739	+	0.954997i	−0.385736	+	0.922609i	$0.626052\pi$
$72$	−2.16762	+	5.38019i	−0.255457	+	0.634061i
$73$	−0.463174	+	1.01421i	−0.0542104	+	0.118704i	−0.934799	−	0.355178i	$-0.884420\pi$
$73$	−0.463174	+	1.01421i	−0.0542104	+	0.118704i	0.880588	+	0.473882i	$0.157148\pi$
$74$	4.69648	−	14.2645i	0.545954	−	1.65821i
$75$	−0.933600	−	2.04430i	−0.107803	−	0.236055i
$76$	0.296660	+	0.159506i	0.0340293	+	0.0182966i
$77$	−0.127353	+	0.0183105i	−0.0145132	+	0.00208668i
$78$	−12.6510	−	15.5954i	−1.43244	−	1.76583i
$79$	3.93088	−	4.53647i	0.442258	−	0.510393i	−0.490230	−	0.871593i	$-0.663087\pi$
$79$	3.93088	−	4.53647i	0.442258	−	0.510393i	0.932488	+	0.361200i	$0.117633\pi$
$80$	3.95159	−	0.620439i	0.441801	−	0.0693672i
$81$	−9.20892	−	5.91821i	−1.02321	−	0.657579i
$82$	−1.21007	−	4.67783i	−0.133630	−	0.516580i
$83$	2.87550	−	9.79305i	0.315627	−	1.07493i	−0.637020	−	0.770847i	$-0.719833\pi$
$83$	2.87550	−	9.79305i	0.315627	−	1.07493i	0.952647	−	0.304079i	$-0.0983488\pi$
$84$	2.82206	−	1.56475i	0.307912	−	0.170728i
$85$	0.697821	−	0.604666i	0.0756893	−	0.0655852i
$86$	0.196421	−	1.10921i	0.0211806	−	0.119609i
$87$	2.91386	+	9.92368i	0.312398	+	1.06393i
$88$	−0.397766	−	0.314223i	−0.0424020	−	0.0334963i
$89$	−7.00700	−	1.00745i	−0.742741	−	0.106790i	−0.239452	−	0.970908i	$-0.576968\pi$
$89$	−7.00700	−	1.00745i	−0.742741	−	0.106790i	−0.503289	+	0.864118i	$0.667877\pi$
$90$	0.0941395	−	2.89869i	0.00992318	−	0.305549i
$91$			4.53596i			0.475498i
$92$	9.22158	−	2.63865i	0.961416	−	0.275098i
$93$		−	13.5662i		−	1.40675i
$94$	−0.810147	−	0.0263108i	−0.0835603	−	0.00271375i
$95$	−0.166697	−	0.0239674i	−0.0171028	−	0.00245901i
$96$	12.1259	+	3.81920i	1.23760	+	0.389795i
$97$	−5.05401	−	17.2124i	−0.513157	−	1.74765i	−0.652879	−	0.757462i	$-0.726439\pi$
$97$	−5.05401	−	17.2124i	−0.513157	−	1.74765i	0.139722	−	0.990191i	$-0.455379\pi$
$98$	9.03013	+	1.59907i	0.912181	+	0.161531i
$99$	−0.277764	+	0.240684i	−0.0279163	+	0.0241896i
$100$	−1.74912	+	0.969834i	−0.174912	+	0.0969834i
$101$	0.789615	−	2.68918i	0.0785696	−	0.267583i	−0.910834	−	0.412772i	$-0.864561\pi$
$101$	0.789615	−	2.68918i	0.0785696	−	0.267583i	0.989404	+	0.145188i	$0.0463788\pi$
$102$	2.84115	−	0.734958i	0.281316	−	0.0727717i
$103$	4.87921	+	3.13568i	0.480763	+	0.308968i	0.758481	−	0.651695i	$-0.225942\pi$
$103$	4.87921	+	3.13568i	0.480763	+	0.308968i	−0.277718	+	0.960663i	$0.589578\pi$
$104$	−12.9608	+	12.3039i	−1.27091	+	1.20650i
$105$	−1.05656	+	1.21934i	−0.103110	+	0.118995i
$106$	4.54523	−	3.68709i	0.441472	−	0.358122i
$107$	3.87763	−	0.557519i	0.374864	−	0.0538974i	0.0476921	−	0.998862i	$-0.484813\pi$
$107$	3.87763	−	0.557519i	0.374864	−	0.0538974i	0.327172	+	0.944965i	$0.393904\pi$
$108$	−2.02050	+	3.75787i	−0.194423	+	0.361601i
$109$	4.35000	+	9.52516i	0.416654	+	0.912345i	0.995307	+	0.0967711i	$0.0308515\pi$
$109$	4.35000	+	9.52516i	0.416654	+	0.912345i	−0.578653	+	0.815574i	$0.696421\pi$
$110$	0.240741	+	0.0792621i	0.0229537	+	0.00755735i
$111$	−9.91402	+	21.7087i	−0.940997	+	2.06050i
$112$	−1.58365	−	2.39548i	−0.149641	−	0.226351i
$113$	10.1243	+	15.7538i	0.952419	+	1.48199i	0.874496	+	0.485033i	$0.161192\pi$
$113$	10.1243	+	15.7538i	0.952419	+	1.48199i	0.0779226	+	0.996959i	$0.475171\pi$
$114$	−0.440659	−	0.303847i	−0.0412715	−	0.0284579i
$115$	−3.87736	+	2.82242i	−0.361566	+	0.263192i
$116$	8.60281	−	3.27224i	0.798751	−	0.303819i
$117$	7.00528	+	10.9004i	0.647638	+	1.00774i
$118$	8.46538	+	7.83058i	0.779302	+	0.720864i
$119$	−0.602977	−	0.275370i	−0.0552748	−	0.0252431i
$120$	−6.35003	+	0.288516i	−0.579676	+	0.0263378i
$121$	4.55622	+	9.97674i	0.414202	+	0.906976i
$122$	12.4676	−	1.38122i	1.12877	−	0.125050i
$123$	1.09276	+	7.60028i	0.0985305	+	0.685294i
$124$	−12.0363	+	0.939156i	−1.08089	+	0.0843387i
$125$	0.654861	−	0.755750i	0.0585725	−	0.0675963i
$126$	−1.92101	+	0.802998i	−0.171137	+	0.0715368i
$127$	−8.91263	+	13.8683i	−0.790868	+	1.23062i	0.178242	+	0.983987i	$0.442959\pi$
$127$	−8.91263	+	13.8683i	−0.790868	+	1.23062i	−0.969110	+	0.246628i	$0.920677\pi$
$128$	2.54904	−	11.0228i	0.225305	−	0.974288i
$129$	−0.504336	+	1.71761i	−0.0444043	+	0.151227i
$130$	3.97379	−	8.00320i	0.348525	−	0.701927i
$131$	3.65373	+	4.21663i	0.319228	+	0.368408i	0.892571	−	0.450907i	$-0.148899\pi$
$131$	3.65373	+	4.21663i	0.319228	+	0.368408i	−0.573343	+	0.819315i	$0.694354\pi$
$132$	0.573281	+	0.565911i	0.0498977	+	0.0492563i
$133$	0.0340625	+	0.116006i	0.00295360	+	0.0100590i
$134$	−1.88931	+	1.12926i	−0.163211	+	0.0975528i
$135$	0.303601	−	2.11159i	0.0261298	−	0.181737i
$136$	−0.848759	−	2.46986i	−0.0727804	−	0.211789i
$137$		−	0.952047i		−	0.0813389i	−0.999173	−	0.0406694i	$-0.987051\pi$
$137$		−	0.952047i		−	0.0813389i	0.999173	−	0.0406694i	$-0.0129491\pi$
$138$	−15.0270	+	2.55409i	−1.27919	+	0.217419i
$139$	21.5515			1.82797			0.913986	−	0.405747i	$-0.132988\pi$
$139$	21.5515			1.82797			0.913986	+	0.405747i	$0.132988\pi$
$140$	1.15497	+	0.852998i	0.0976129	+	0.0720915i
$141$	1.27501	+	0.183318i	0.107375	+	0.0154382i
$142$	−11.6115	+	6.94030i	−0.974415	+	0.582417i
$143$	−1.08649	+	0.319022i	−0.0908569	+	0.0266780i
$144$	−7.50522	−	3.31084i	−0.625435	−	0.275903i
$145$	−3.47801	+	3.01371i	−0.288833	+	0.250275i
$146$	−1.41229	−	0.701238i	−0.116882	−	0.0580349i
$147$	−13.9831	−	4.10581i	−1.15331	−	0.338642i
$148$	19.9468	+	7.29313i	1.63962	+	0.599491i
$149$	8.49979	+	5.46248i	0.696330	+	0.447504i	0.840331	−	0.542074i	$-0.182361\pi$
$149$	8.49979	+	5.46248i	0.696330	+	0.447504i	−0.144001	+	0.989578i	$0.545997\pi$
$150$	2.93241	−	1.22577i	0.239430	−	0.100084i
$151$	−1.35702	−	1.17586i	−0.110433	−	0.0956905i	0.597894	−	0.801575i	$-0.296004\pi$
$151$	−1.35702	−	1.17586i	−0.110433	−	0.0956905i	−0.708327	+	0.705885i	$0.750550\pi$
$152$	−0.239075	+	0.411998i	−0.0193915	+	0.0334175i
$153$	−1.87430	+	0.269483i	−0.151528	+	0.0217864i
$154$	−0.0200353	−	0.180850i	−0.00161449	−	0.0145733i
$155$	5.49093	−	2.50763i	0.441042	−	0.201417i
$156$	22.6243	−	17.1659i	1.81140	−	1.37437i
$157$	4.52523	−	9.90888i	0.361153	−	0.790815i	−0.638620	−	0.769522i	$-0.720495\pi$
$157$	4.52523	−	9.90888i	0.361153	−	0.790815i	0.999773	−	0.0212928i	$-0.00677821\pi$
$158$	6.23172	+	5.76442i	0.495769	+	0.458592i
$159$	−7.82429	+	5.02837i	−0.620506	+	0.398775i
$160$	0.695575	+	5.61393i	0.0549900	+	0.443820i
$161$	2.99947	+	1.69031i	0.236392	+	0.133215i
$162$	8.78794	−	12.7448i	0.690446	−	1.00133i
$163$	3.56031	−	2.28807i	0.278865	−	0.179216i	−0.393731	−	0.919226i	$-0.628816\pi$
$163$	3.56031	−	2.28807i	0.278865	−	0.179216i	0.672596	+	0.740010i	$0.265179\pi$
$164$	6.66751	−	1.49567i	0.520645	−	0.116792i
$165$	−0.366376	−	0.167318i	−0.0285223	−	0.0130257i
$166$	13.7102	+	4.51397i	1.06412	+	0.350352i
$167$	9.25886	−	4.22838i	0.716472	−	0.327202i	−0.0236072	−	0.999721i	$-0.507515\pi$
$167$	9.25886	−	4.22838i	0.716472	−	0.327202i	0.740079	+	0.672519i	$0.234788\pi$
$168$	2.08218	+	4.06072i	0.160643	+	0.313292i
$169$	3.83127	+	26.6471i	0.294713	+	2.04977i
$170$	0.822642	+	1.01411i	0.0630938	+	0.0777783i
$171$	0.261015	+	0.226170i	0.0199603	+	0.0172957i
$172$	1.55882	+	0.328553i	0.118859	+	0.0250519i
$173$	10.1342	−	15.7692i	0.770491	−	1.19891i	−0.204977	−	0.978767i	$-0.565712\pi$
$173$	10.1342	−	15.7692i	0.770491	−	1.19891i	0.975468	−	0.220141i	$-0.0706517\pi$
$174$	−14.1606	+	3.66310i	−1.07351	+	0.277699i
$175$	−0.688827	−	0.202258i	−0.0520704	−	0.0152893i
$176$	0.462403	−	0.547806i	0.0348550	−	0.0412924i
$177$	−12.0007	−	13.8496i	−0.902028	−	1.04100i
$178$	1.74566	−	9.85793i	0.130843	−	0.738883i
$179$	−1.32914	+	0.390271i	−0.0993446	+	0.0291702i	−0.331027	−	0.943621i	$-0.607395\pi$
$179$	−1.32914	+	0.390271i	−0.0993446	+	0.0291702i	0.231682	+	0.972791i	$0.425577\pi$
$180$	4.09288	+	0.266126i	0.305065	+	0.0198359i
$181$	−1.03522	+	7.20009i	−0.0769470	+	0.535178i	0.914492	+	0.404605i	$0.132591\pi$
$181$	−1.03522	+	7.20009i	−0.0769470	+	0.535178i	−0.991439	+	0.130573i	$0.958318\pi$
$182$	−6.41144	−	0.208222i	−0.475248	−	0.0154344i
$183$	−19.9341			−1.47357
$184$	3.30634	+	13.1555i	0.243746	+	0.969839i
$185$	−10.6191			−0.780735
$186$	19.1754	+	0.622753i	1.40601	+	0.0456624i
$187$	0.0235505	−	0.163797i	0.00172218	−	0.0119780i
$188$	0.0743790	−	1.14391i	0.00542465	−	0.0834281i
$189$	−1.46948	+	0.431478i	−0.106889	+	0.0313854i
$190$	0.0415294	−	0.234521i	0.00301286	−	0.0170139i
$191$	−4.17274	−	4.81559i	−0.301929	−	0.348444i	0.584430	−	0.811444i	$-0.301318\pi$
$191$	−4.17274	−	4.81559i	−0.301929	−	0.348444i	−0.886358	+	0.463000i	$0.846773\pi$
$192$	−5.95495	+	16.9643i	−0.429762	+	1.22429i
$193$	6.97968	+	2.04942i	0.502408	+	0.147520i	0.523110	−	0.852265i	$-0.324772\pi$
$193$	6.97968	+	2.04942i	0.502408	+	0.147520i	−0.0207016	+	0.999786i	$0.506590\pi$
$194$	24.5612	−	6.35356i	1.76339	−	0.456159i
$195$	−7.67695	+	11.9456i	−0.549757	+	0.855439i
$196$	−2.67476	+	12.6904i	−0.191054	+	0.906457i
$197$	12.3784	+	10.7259i	0.881925	+	0.764192i	0.972794	−	0.231671i	$-0.0744191\pi$
$197$	12.3784	+	10.7259i	0.881925	+	0.764192i	−0.0908694	+	0.995863i	$0.528965\pi$
$198$	−0.327448	−	0.403659i	−0.0232707	−	0.0286868i
$199$	−1.82041	−	12.6612i	−0.129045	−	0.897530i	−0.946768	−	0.321918i	$-0.895673\pi$
$199$	−1.82041	−	12.6612i	−0.129045	−	0.897530i	0.817722	−	0.575613i	$-0.195236\pi$
$200$	−1.29054	−	2.51685i	−0.0912547	−	0.177968i
$201$	3.18172	−	1.45304i	0.224421	−	0.102490i
$202$	3.76482	+	1.23954i	0.264892	+	0.0872138i
$203$	3.00529	+	1.37247i	0.210930	+	0.0963286i
$204$	0.908418	+	4.04962i	0.0636020	+	0.283530i
$205$	−2.87423	+	1.84715i	−0.200745	+	0.129011i
$206$	−4.65616	+	6.75267i	−0.324410	+	0.470481i
$207$	9.81856	−	0.570344i	0.682437	−	0.0396416i
$208$	−16.7962	−	18.8845i	−1.16461	−	1.30941i
$209$	−0.0253911	+	0.0163179i	−0.00175634	+	0.00112873i
$210$	−1.67500	−	1.54939i	−0.115586	−	0.106918i
$211$	−3.95432	+	8.65876i	−0.272227	+	0.596094i	−0.995531	−	0.0944360i	$-0.969895\pi$
$211$	−3.95432	+	8.65876i	−0.272227	+	0.596094i	0.723304	+	0.690530i	$0.242622\pi$
$212$	5.00294	+	6.59380i	0.343604	+	0.452864i
$213$	19.5546	−	8.93028i	1.33986	−	0.611892i
$214$	0.610034	+	5.50650i	0.0417011	+	0.376416i
$215$	−0.788426	+	0.113359i	−0.0537702	+	0.00773099i
$216$	−5.21888	−	3.02842i	−0.355100	−	0.206058i
$217$	−3.27512	−	2.83790i	−0.222329	−	0.192650i
$218$	−13.6632	+	5.71133i	−0.925389	+	0.386820i
$219$	2.10798	+	1.35472i	0.142444	+	0.0915434i
$220$	−0.123086	+	0.336641i	−0.00829843	+	0.0226963i
$221$	−5.59769	−	1.64363i	−0.376542	−	0.110563i
$222$	−30.2294	−	15.0097i	−2.02887	−	1.00738i
$223$	−9.07372	+	7.86242i	−0.607621	+	0.526507i	−0.903427	−	0.428741i	$-0.858957\pi$
$223$	−9.07372	+	7.86242i	−0.607621	+	0.526507i	0.295806	+	0.955248i	$0.404412\pi$
$224$	3.45863	−	2.12847i	0.231089	−	0.142214i
$225$	−1.96769	+	0.577767i	−0.131179	+	0.0385178i
$226$	−22.7322	+	13.5873i	−1.51213	+	0.903812i
$227$	9.60266	+	1.38065i	0.637351	+	0.0916372i	0.453413	−	0.891301i	$-0.350206\pi$
$227$	9.60266	+	1.38065i	0.637351	+	0.0916372i	0.183938	+	0.982938i	$0.441115\pi$
$228$	0.449707	−	0.608910i	0.0297826	−	0.0403260i
$229$	−18.3886			−1.21515			−0.607576	−	0.794261i	$-0.707858\pi$
$229$	−18.3886			−1.21515			−0.607576	+	0.794261i	$0.707858\pi$
$230$	−3.81142	−	5.61009i	−0.251317	−	0.369918i
$231$			0.289154i			0.0190250i
$232$	4.23029	+	12.3100i	0.277732	+	0.808192i
$233$	2.73122	−	18.9961i	0.178928	−	1.24447i	−0.680320	−	0.732915i	$-0.738159\pi$
$233$	2.73122	−	18.9961i	0.178928	−	1.24447i	0.859248	−	0.511559i	$-0.170932\pi$
$234$	−15.7290	+	9.40136i	−1.02824	+	0.614586i
$235$	0.161478	+	0.549945i	0.0105337	+	0.0358745i
$236$	−11.4569	+	11.6061i	−0.745780	+	0.755492i
$237$	−8.83422	−	10.1952i	−0.573844	−	0.662251i
$238$	0.416906	−	0.839647i	0.0270240	−	0.0544263i
$239$	−1.41816	+	4.82982i	−0.0917333	+	0.312415i	−0.992559	−	0.121767i	$-0.961144\pi$
$239$	−1.41816	+	4.82982i	−0.0917333	+	0.312415i	0.900826	+	0.434181i	$0.142962\pi$
$240$	−0.116312	−	8.98881i	−0.00750790	−	0.580225i
$241$	−3.56016	+	5.53972i	−0.229330	+	0.356845i	−0.936780	−	0.349919i	$-0.886209\pi$
$241$	−3.56016	+	5.53972i	−0.229330	+	0.356845i	0.707450	+	0.706764i	$0.249846\pi$
$242$	−14.3110	+	5.98210i	−0.919943	+	0.384544i
$243$	−11.9194	+	13.7558i	−0.764633	+	0.882433i
$244$	1.37999	+	17.6860i	0.0883446	+	1.13223i
$245$	−0.922856	−	6.41861i	−0.0589591	−	0.410070i
$246$	−10.7929	+	1.19569i	−0.688132	+	0.0762342i
$247$	0.442033	+	0.967918i	0.0281259	+	0.0615871i
$248$	−0.774946	−	17.0560i	−0.0492091	−	1.08306i
$249$	−20.8651	−	9.52877i	−1.32227	−	0.603861i
$250$	1.03817	+	0.960317i	0.0656594	+	0.0607358i
$251$	7.91623	+	12.3179i	0.499668	+	0.777498i	0.995878	−	0.0907042i	$-0.0289118\pi$
$251$	7.91623	+	12.3179i	0.499668	+	0.777498i	−0.496210	+	0.868202i	$0.665275\pi$
$252$	−1.04683	−	2.75215i	−0.0659440	−	0.173369i
$253$	−0.193918	+	0.837340i	−0.0121915	+	0.0526431i
$254$	−19.1933	−	13.2343i	−1.20430	−	0.830397i
$255$	−1.12190	−	1.74571i	−0.0702560	−	0.109320i
$256$	15.4634	+	4.10898i	0.966462	+	0.256811i
$257$	12.7005	−	27.8103i	0.792237	−	1.73476i	0.122103	−	0.992517i	$-0.461036\pi$
$257$	12.7005	−	27.8103i	0.792237	−	1.73476i	0.670134	−	0.742240i	$-0.266237\pi$
$258$	−2.40464	−	0.791709i	−0.149706	−	0.0492896i
$259$	3.16694	+	6.93463i	0.196784	+	0.430897i
$260$	11.1298	+	5.98421i	0.690244	+	0.371125i
$261$	9.34167	−	1.34313i	0.578235	−	0.0831377i
$262$	−6.12779	+	4.97087i	−0.378576	+	0.307101i
$263$	10.0884	−	11.6427i	0.622080	−	0.717918i	−0.354021	−	0.935238i	$-0.615186\pi$
$263$	10.0884	−	11.6427i	0.622080	−	0.717918i	0.976101	+	0.217319i	$0.0697313\pi$
$264$	−0.826214	+	0.784337i	−0.0508500	+	0.0482726i
$265$	−3.48150	−	2.23742i	−0.213867	−	0.137444i
$266$	−0.165535	+	0.0428211i	−0.0101496	+	0.00262553i
$267$	−4.48220	+	15.2650i	−0.274306	+	0.934200i
$268$	−1.50944	−	2.72231i	−0.0922037	−	0.166292i
$269$	11.7570	−	10.1875i	0.716840	−	0.621145i	−0.218111	−	0.975924i	$-0.569989\pi$
$269$	11.7570	−	10.1875i	0.716840	−	0.621145i	0.934950	+	0.354779i	$0.115444\pi$
$270$	2.97073	+	0.526063i	0.180793	+	0.0320152i
$271$	−6.56192	−	22.3479i	−0.398608	−	1.35754i	−0.877464	−	0.479642i	$-0.840767\pi$
$271$	−6.56192	−	22.3479i	−0.398608	−	1.35754i	0.478856	−	0.877894i	$-0.341052\pi$
$272$	3.53003	−	1.08632i	0.214040	−	0.0658675i
$273$	10.0903	+	1.45077i	0.610694	+	0.0878045i
$274$	1.34569	+	0.0437034i	0.0812960	+	0.00264022i
$275$		−	0.179218i		−	0.0108073i
$276$	−2.92032	−	21.3575i	−0.175782	−	1.28557i
$277$		−	10.5963i		−	0.636672i	−0.947978	−	0.318336i	$-0.896876\pi$
$277$		−	10.5963i		−	0.636672i	0.947978	−	0.318336i	$-0.103124\pi$
$278$	−0.989312	+	30.4623i	−0.0593350	+	1.82701i
$279$	−12.2533	−	1.76176i	−0.733585	−	0.105474i
$280$	−1.25870	+	1.59336i	−0.0752219	+	0.0952214i
$281$	8.09986	+	27.5856i	0.483197	+	1.64562i	0.735168	+	0.677884i	$0.237103\pi$
$281$	8.09986	+	27.5856i	0.483197	+	1.64562i	−0.251971	+	0.967735i	$0.581079\pi$
$282$	−0.317644	+	1.79377i	−0.0189154	+	0.106817i
$283$	−23.2083	+	20.1101i	−1.37959	+	1.19542i	−0.422243	+	0.906482i	$0.638757\pi$
$283$	−23.2083	+	20.1101i	−1.37959	+	1.19542i	−0.957347	+	0.288940i	$0.906697\pi$
$284$	−9.27687	−	16.7311i	−0.550481	−	0.992807i
$285$	−0.106632	+	0.363155i	−0.00631633	+	0.0215114i
$286$	−0.401053	−	1.55036i	−0.0237148	−	0.0916749i
$287$	2.06343	+	1.32609i	0.121800	+	0.0782764i
$288$	5.02429	−	10.4564i	0.296059	−	0.616150i
$289$	−10.5743	+	12.2034i	−0.622019	+	0.717848i
$290$	−4.10013	−	5.05440i	−0.240768	−	0.296804i
$291$	−39.9057	+	5.73757i	−2.33931	+	0.336342i
$292$	1.05601	−	1.96404i	0.0617982	−	0.114937i
$293$	−5.17539	−	11.3325i	−0.302349	−	0.662053i	0.696087	−	0.717958i	$-0.254923\pi$
$293$	−5.17539	−	11.3325i	−0.302349	−	0.662053i	−0.998436	+	0.0559050i	$0.982196\pi$
$294$	6.44533	−	19.5762i	0.375899	−	1.14171i
$295$	3.38736	−	7.41729i	0.197220	−	0.431851i
$296$	−11.2243	+	27.8594i	−0.652396	+	1.61929i
$297$	−0.206702	−	0.321635i	−0.0119941	−	0.0186631i
$298$	−8.11123	+	11.7634i	−0.469871	+	0.681437i
$299$	28.2469	+	10.9681i	1.63356	+	0.634303i
$300$	1.59798	+	4.20113i	0.0922592	+	0.242553i
$301$	0.309159	+	0.481060i	0.0178196	+	0.0277279i
$302$	1.72434	−	1.86413i	0.0992246	−	0.107268i
$303$	−5.72957	−	2.61661i	−0.329155	−	0.150320i
$304$	−0.571372	−	0.356837i	−0.0327704	−	0.0204660i
$305$	−3.68468	−	8.06833i	−0.210984	−	0.461991i
$306$	−0.294867	−	2.66163i	−0.0168564	−	0.152155i
$307$	−0.514393	−	3.57768i	−0.0293580	−	0.204189i	0.969863	−	0.243650i	$-0.0783449\pi$
$307$	−0.514393	−	3.57768i	−0.0293580	−	0.204189i	−0.999221	+	0.0394613i	$0.987436\pi$
$308$	0.256545	−	0.0200174i	0.0146180	−	0.00114060i
$309$	8.53592	−	9.85097i	0.485591	−	0.560402i
$310$	3.29239	+	7.87637i	0.186995	+	0.447348i
$311$	−9.85874	+	15.3405i	−0.559038	+	0.869880i	−0.999612	−	0.0278362i	$-0.991138\pi$
$311$	−9.85874	+	15.3405i	−0.559038	+	0.869880i	0.440575	+	0.897716i	$0.354775\pi$
$312$	23.2249	+	32.7668i	1.31485	+	1.85505i
$313$	−3.52387	+	12.0012i	−0.199181	+	0.678347i	0.797955	+	0.602717i	$0.205915\pi$
$313$	−3.52387	+	12.0012i	−0.199181	+	0.678347i	−0.997136	+	0.0756303i	$0.975903\pi$
$314$	13.7982	+	6.85114i	0.778675	+	0.386632i
$315$	0.964124	+	1.11266i	0.0543222	+	0.0626912i
$316$	−8.43388	+	8.54372i	−0.474443	+	0.480622i
$317$	−0.913861	−	3.11232i	−0.0513275	−	0.174806i	0.929840	−	0.367964i	$-0.119945\pi$
$317$	−0.913861	−	3.11232i	−0.0513275	−	0.174806i	−0.981168	+	0.193158i	$0.938127\pi$
$318$	−6.74826	−	11.2902i	−0.378424	−	0.633124i
$319$	−0.117378	+	0.816380i	−0.00657189	+	0.0457085i
$320$	−7.96704	+	0.725468i	−0.445371	+	0.0405549i
$321$		−	8.80415i		−	0.491400i
$322$	−2.52689	+	4.16207i	−0.140818	+	0.231943i
$323$	−0.155503			−0.00865240
$324$	17.6110	+	13.0065i	0.978390	+	0.722584i
$325$	−6.25400	−	0.899190i	−0.346910	−	0.0498781i
$326$	3.07069	+	5.13742i	0.170070	+	0.284535i
$327$	22.5802	−	6.63013i	1.24869	−	0.366647i
$328$	1.80801	+	9.49297i	0.0998307	+	0.524162i
$329$	0.310974	−	0.269460i	0.0171445	−	0.0148558i
$330$	0.253317	−	0.510180i	0.0139447	−	0.0280845i
$331$	6.00560	+	1.76340i	0.330098	+	0.0969254i	0.442582	−	0.896728i	$-0.354063\pi$
$331$	6.00560	+	1.76340i	0.330098	+	0.0969254i	−0.112484	+	0.993654i	$0.535881\pi$
$332$	−7.00972	+	19.1717i	−0.384708	+	1.05218i
$333$	18.3203	+	11.7737i	1.00394	+	0.645196i
$334$	5.55166	+	13.2812i	0.303773	+	0.726716i
$335$	1.17624	+	1.01922i	0.0642649	+	0.0556858i
$336$	−5.83529	+	2.75668i	−0.318341	+	0.150389i
$337$	6.53734	−	0.939927i	0.356112	−	0.0512011i	0.0380625	−	0.999275i	$-0.487881\pi$
$337$	6.53734	−	0.939927i	0.356112	−	0.0512011i	0.318049	+	0.948074i	$0.396972\pi$
$338$	−37.8407	+	4.19215i	−2.05826	+	0.228023i
$339$	38.2827	−	17.4831i	2.07923	−	0.949553i
$340$	−1.47117	+	1.11623i	−0.0797853	+	0.0605359i
$341$	0.449413	−	0.984077i	0.0243371	−	0.0532907i
$342$	−0.331667	+	0.358554i	−0.0179345	+	0.0193884i
$343$	−8.14392	+	5.23378i	−0.439731	+	0.282598i
$344$	−0.535957	+	2.18826i	−0.0288968	+	0.117983i
$345$	5.03840	+	9.52796i	0.271258	+	0.512968i
$346$	21.8240	+	15.0483i	1.17327	+	0.809001i
$347$	13.4714	−	8.65751i	0.723180	−	0.464760i	−0.126562	−	0.991959i	$-0.540394\pi$
$347$	13.4714	−	8.65751i	0.723180	−	0.464760i	0.849742	+	0.527199i	$0.176758\pi$
$348$	−4.52764	−	20.1837i	−0.242707	−	1.08196i
$349$	14.3479	+	6.55248i	0.768027	+	0.350746i	0.760595	−	0.649226i	$-0.224907\pi$
$349$	14.3479	+	6.55248i	0.768027	+	0.350746i	0.00743161	+	0.999972i	$0.497634\pi$
$350$	0.317505	−	0.964351i	0.0169714	−	0.0515467i
$351$	−12.2608	+	5.59934i	−0.654435	+	0.298871i
$352$	0.753080	+	0.678740i	0.0401393	+	0.0361769i
$353$	−2.40269	−	16.7111i	−0.127882	−	0.889440i	−0.948232	−	0.317578i	$-0.897130\pi$
$353$	−2.40269	−	16.7111i	−0.127882	−	0.889440i	0.820350	−	0.571862i	$-0.193779\pi$
$354$	20.1268	−	16.3269i	1.06973	−	0.867763i
$355$	7.22907	+	6.26402i	0.383679	+	0.332460i
$356$	13.8537	+	2.91996i	0.734247	+	0.154758i
$357$	−0.805419	+	1.25326i	−0.0426273	+	0.0663294i
$358$	−0.490621	−	1.89661i	−0.0259301	−	0.100239i
$359$	19.0696	+	5.59935i	1.00646	+	0.295522i	0.743103	−	0.669177i	$-0.233353\pi$
$359$	19.0696	+	5.59935i	1.00646	+	0.295522i	0.263353	+	0.964699i	$0.415172\pi$
$360$	−0.564044	+	5.77294i	−0.0297277	+	0.304261i
$361$	−12.4238	−	14.3378i	−0.653883	−	0.754621i
$362$	−10.1296	−	1.79376i	−0.532399	−	0.0942781i
$363$	23.6506	−	6.94446i	1.24134	−	0.364489i
$364$	0.588630	−	9.05281i	0.0308526	−	0.474496i
$365$	−0.158676	+	1.10362i	−0.00830549	+	0.0577660i
$366$	0.915067	−	28.1762i	0.0478313	−	1.47279i
$367$	−5.05840			−0.264046			−0.132023	−	0.991247i	$-0.542147\pi$
$367$	−5.05840			−0.264046			−0.132023	+	0.991247i	$0.542147\pi$
$368$	−18.7467	+	4.06950i	−0.977240	+	0.212137i
$369$	7.00664			0.364751
$370$	0.487468	−	15.0098i	0.0253422	−	0.780323i
$371$	−0.422823	+	2.94080i	−0.0219519	+	0.152678i
$372$	−1.76048	+	27.0753i	−0.0912768	+	1.40379i
$373$	−24.3624	+	7.15346i	−1.26144	+	0.370392i	−0.843030	−	0.537867i	$-0.819230\pi$
$373$	−24.3624	+	7.15346i	−1.26144	+	0.370392i	−0.418409	+	0.908259i	$0.637412\pi$
$374$	0.230441	+	0.0408069i	0.0119158	+	0.00211007i
$375$	−1.47173	−	1.69846i	−0.0759997	−	0.0877083i
$376$	1.61346	+	0.157643i	0.0832081	+	0.00812982i
$377$	27.8994	+	8.19201i	1.43689	+	0.421910i
$378$	−0.542425	−	2.09687i	−0.0278993	−	0.107851i
$379$	10.4439	−	16.2510i	0.536467	−	0.834759i	−0.462179	−	0.886787i	$-0.652932\pi$
$379$	10.4439	−	16.2510i	0.536467	−	0.834759i	0.998646	+	0.0520278i	$0.0165685\pi$
$380$	0.329582	+	0.0694661i	0.0169072	+	0.00356354i
$381$	27.9997	+	24.2619i	1.43447	+	1.24297i
$382$	6.99824	−	5.67697i	0.358061	−	0.290459i
$383$	−3.47190	−	24.1476i	−0.177406	−	1.23389i	−0.862737	−	0.505654i	$-0.831251\pi$
$383$	−3.47190	−	24.1476i	−0.177406	−	1.23389i	0.685330	−	0.728232i	$-0.259658\pi$
$384$	−23.7051	−	9.19588i	−1.20970	−	0.469275i
$385$	−0.117035	+	0.0534482i	−0.00596467	+	0.00272397i
$386$	−3.21719	+	9.77147i	−0.163751	+	0.497355i
$387$	1.48589	+	0.678581i	0.0755318	+	0.0344942i
$388$	7.85308	+	35.0081i	0.398680	+	1.77727i
$389$	28.0661	−	18.0370i	1.42301	−	0.914513i	0.423045	−	0.906109i	$-0.360961\pi$
$389$	28.0661	−	18.0370i	1.42301	−	0.914513i	0.999965	−	0.00840403i	$-0.00267512\pi$
$390$	−16.5323	−	11.3995i	−0.837144	−	0.577235i
$391$	−3.17284	+	3.08907i	−0.160457	+	0.156221i
$392$	−17.8147	−	4.36324i	−0.899778	−	0.220377i
$393$	10.5485	−	6.77914i	0.532104	−	0.341962i
$394$	−15.7290	+	17.0041i	−0.792416	+	0.856655i
$395$	2.49358	−	5.46017i	0.125465	−	0.274731i
$396$	0.585591	−	0.444308i	0.0294271	−	0.0223273i
$397$	19.4096	−	8.86407i	0.974140	−	0.444875i	0.136227	−	0.990678i	$-0.456502\pi$
$397$	19.4096	−	8.86407i	0.974140	−	0.444875i	0.837914	+	0.545803i	$0.183775\pi$
$398$	17.9798	−	1.99188i	0.901246	−	0.0998440i
$399$	0.268952	−	0.0386695i	0.0134645	−	0.00193590i
$400$	3.61672	−	1.70860i	0.180836	−	0.0854299i
$401$	−15.7700	−	13.6648i	−0.787517	−	0.682388i	0.165195	−	0.986261i	$-0.447175\pi$
$401$	−15.7700	−	13.6648i	−0.787517	−	0.682388i	−0.952712	+	0.303873i	$0.901720\pi$
$402$	1.90778	+	4.56397i	0.0951513	+	0.227630i
$403$	−32.0855	−	20.6201i	−1.59829	−	1.02716i
$404$	−1.92488	+	5.26456i	−0.0957661	+	0.261922i
$405$	−10.5032	−	3.08403i	−0.521910	−	0.153247i
$406$	−2.07790	+	4.18488i	−0.103124	+	0.207692i
$407$	−1.43830	+	1.24630i	−0.0712940	+	0.0617766i
$408$	−5.76570	+	1.09812i	−0.285445	+	0.0543652i
$409$	−13.5002	+	3.96402i	−0.667543	+	0.196008i	−0.597909	−	0.801564i	$-0.704001\pi$
$409$	−13.5002	+	3.96402i	−0.667543	+	0.196008i	−0.0696345	+	0.997573i	$0.522183\pi$
$410$	−2.47895	−	4.14742i	−0.122427	−	0.204827i
$411$	−2.11784	−	0.304500i	−0.104465	−	0.0150199i
$412$	−9.33095	−	6.89132i	−0.459703	−	0.339511i
$413$	−5.85393			−0.288053
$414$	0.355445	+	13.9044i	0.0174692	+	0.683364i
$415$		−	10.2065i		−	0.501017i
$416$	27.4637	−	22.8740i	1.34652	−	1.12149i
$417$	6.89295	−	47.9415i	0.337549	−	2.34771i
$418$	−0.0218992	−	0.0366386i	−0.00107113	−	0.00179205i
$419$	−7.70508	−	26.2411i	−0.376418	−	1.28196i	−0.902191	−	0.431337i	$-0.858042\pi$
$419$	−7.70508	−	26.2411i	−0.376418	−	1.28196i	0.525773	−	0.850625i	$-0.323776\pi$
$420$	2.26691	−	2.29643i	0.110614	−	0.112054i
$421$	−16.3841	−	18.9083i	−0.798514	−	0.921535i	0.199785	−	0.979840i	$-0.435976\pi$
$421$	−16.3841	−	18.9083i	−0.798514	−	0.921535i	−0.998299	+	0.0583053i	$0.981430\pi$
$422$	−12.0574	−	5.98679i	−0.586943	−	0.291432i
$423$	0.331154	−	1.12781i	0.0161013	−	0.0548359i
$424$	−9.54978	+	6.76882i	−0.463779	+	0.328723i
$425$	0.499201	−	0.776771i	0.0242148	−	0.0376789i
$426$	11.7250	+	28.0497i	0.568079	+	1.35901i
$427$	−4.16999	+	4.81243i	−0.201800	+	0.232890i
$428$	−7.81126	+	0.609490i	−0.377572	+	0.0294608i
$429$	0.362170	+	2.51895i	0.0174857	+	0.121616i
$430$	−0.124036	−	1.11962i	−0.00598156	−	0.0539928i
$431$	12.4547	+	27.2719i	0.599921	+	1.31364i	0.929258	+	0.369431i	$0.120447\pi$
$431$	12.4547	+	27.2719i	0.599921	+	1.31364i	−0.329338	+	0.944212i	$0.606825\pi$
$432$	4.52014	−	7.23770i	0.217476	−	0.348224i
$433$	11.1500	+	5.09205i	0.535837	+	0.244709i	0.664906	−	0.746927i	$-0.268472\pi$
$433$	11.1500	+	5.09205i	0.535837	+	0.244709i	−0.129069	+	0.991636i	$0.541199\pi$
$434$	4.16163	−	4.49900i	0.199765	−	0.215959i
$435$	5.59165	+	8.70077i	0.268099	+	0.417170i
$436$	−7.44558	−	19.5747i	−0.356579	−	0.937457i
$437$	0.804772	+	0.0683897i	0.0384975	+	0.00327152i
$438$	−2.01162	+	2.91738i	−0.0961188	+	0.139398i
$439$	15.0239	+	23.3777i	0.717053	+	1.11576i	0.988193	+	0.153217i	$0.0489633\pi$
$439$	15.0239	+	23.3777i	0.717053	+	1.11576i	−0.271139	+	0.962540i	$0.587400\pi$
$440$	−0.470181	−	0.189431i	−0.0224150	−	0.00903077i
$441$	−5.52435	+	12.0966i	−0.263064	+	0.576031i
$442$	2.58018	−	7.83671i	0.122727	−	0.372754i
$443$	−15.3666	−	33.6481i	−0.730088	−	1.59867i	−0.799203	−	0.601061i	$-0.794745\pi$
$443$	−15.3666	−	33.6481i	−0.730088	−	1.59867i	0.0691150	−	0.997609i	$-0.477982\pi$
$444$	22.6034	−	42.0393i	1.07271	−	1.99510i
$445$	−7.00700	+	1.00745i	−0.332164	+	0.0477579i
$446$	−10.6968	−	13.1863i	−0.506506	−	0.624391i
$447$	14.8699	−	17.1608i	0.703323	−	0.811678i
$448$	2.84976	+	4.98637i	0.134638	+	0.235584i
$449$	11.7216	+	7.53301i	0.553176	+	0.355505i	0.787173	−	0.616733i	$-0.211544\pi$
$449$	11.7216	+	7.53301i	0.553176	+	0.355505i	−0.233996	+	0.972237i	$0.575180\pi$
$450$	−0.726329	−	2.80779i	−0.0342395	−	0.132361i
$451$	−0.172510	+	0.587515i	−0.00812318	+	0.0276650i
$452$	−18.1617	−	32.7550i	−0.854253	−	1.54067i
$453$	−3.04975	+	2.64263i	−0.143290	+	0.124161i
$454$	−2.39232	+	13.5097i	−0.112277	+	0.634040i
$455$	1.27793	+	4.35223i	0.0599102	+	0.204035i
$456$	0.840031	+	0.663598i	0.0393380	+	0.0310758i
$457$	22.8644	+	3.28741i	1.06955	+	0.153778i	0.654532	−	0.756034i	$-0.272866\pi$
$457$	22.8644	+	3.28741i	1.06955	+	0.153778i	0.415020	+	0.909812i	$0.363775\pi$
$458$	0.844122	−	25.9917i	0.0394432	−	1.21451i
$459$		−	1.96979i		−	0.0919419i
$460$	8.10465	−	5.12979i	0.377881	−	0.239178i
$461$		−	13.2188i		−	0.615660i	−0.951441	−	0.307830i	$-0.900397\pi$
$461$		−	13.2188i		−	0.615660i	0.951441	−	0.307830i	$-0.0996027\pi$
$462$	−0.408710	−	0.0132735i	−0.0190149	−	0.000617540i
$463$	26.2501	+	3.77420i	1.21995	+	0.175402i	0.722054	−	0.691836i	$-0.243198\pi$
$463$	26.2501	+	3.77420i	1.21995	+	0.175402i	0.497893	+	0.867238i	$0.334107\pi$
$464$	−17.5940	+	5.41430i	−0.816781	+	0.251352i
$465$	−3.82205	−	13.0167i	−0.177243	−	0.603635i
$466$	26.7250	+	4.73251i	1.23801	+	0.219229i
$467$	−26.4899	+	22.9537i	−1.22581	+	1.06217i	−0.229769	+	0.973245i	$0.573797\pi$
$467$	−26.4899	+	22.9537i	−1.22581	+	1.06217i	−0.996038	+	0.0889231i	$0.971657\pi$
$468$	−12.5665	−	22.6640i	−0.580886	−	1.04764i
$469$	0.314792	−	1.07208i	0.0145357	−	0.0495042i
$470$	−0.784743	+	0.203000i	−0.0361975	+	0.00936368i
$471$	−20.5951	−	13.2357i	−0.948973	−	0.609868i
$472$	−15.8789	−	16.7267i	−0.730886	−	0.769909i
$473$	−0.0934837	+	0.107886i	−0.00429839	+	0.00496060i
$474$	14.8162	−	12.0189i	0.680529	−	0.552045i
$475$	−0.166697	+	0.0239674i	−0.00764859	+	0.00109970i
$476$	1.16768	+	0.627828i	0.0535204	+	0.0287764i
$477$	3.52563	+	7.72006i	0.161428	+	0.353477i
$478$	−6.76169	−	2.22624i	−0.309273	−	0.101826i
$479$	15.6582	−	34.2867i	0.715442	−	1.56660i	−0.104742	−	0.994499i	$-0.533402\pi$
$479$	15.6582	−	34.2867i	0.715442	−	1.56660i	0.820184	−	0.572100i	$-0.193871\pi$
$480$	12.7107	+	0.248225i	0.580163	+	0.0113299i
$481$	36.2743	+	56.4439i	1.65397	+	2.57362i
$482$	−7.66679	−	5.28648i	−0.349213	−	0.240792i
$483$	4.71946	−	6.13175i	0.214743	−	0.279004i
$484$	−7.79857	−	20.5027i	−0.354480	−	0.931940i
$485$	−9.69858	−	15.0913i	−0.440390	−	0.685260i
$486$	−18.8962	−	17.4792i	−0.857149	−	0.792873i
$487$	24.0293	+	10.9738i	1.08887	+	0.497272i	0.877228	−	0.480075i	$-0.159390\pi$
$487$	24.0293	+	10.9738i	1.08887	+	0.497272i	0.211646	+	0.977346i	$0.432118\pi$
$488$	−25.0620	+	1.13870i	−1.13450	+	0.0515464i
$489$	−3.95114	−	8.65178i	−0.178677	−	0.391247i
$490$	9.11486	−	1.00978i	0.411767	−	0.0456174i
$491$	−0.621815	−	4.32482i	−0.0280621	−	0.195176i	0.970968	−	0.239210i	$-0.0768883\pi$
$491$	−0.621815	−	4.32482i	−0.0280621	−	0.195176i	−0.999030	+	0.0440334i	$0.985979\pi$
$492$	−1.19462	−	15.3103i	−0.0538577	−	0.690244i
$493$	−2.78271	+	3.21142i	−0.125327	+	0.144635i
$494$	−1.38841	+	0.580368i	−0.0624676	+	0.0261120i
$495$	−0.198704	+	0.309190i	−0.00893109	+	0.0138970i
$496$	24.1437	−	0.312411i	1.08408	−	0.0140277i
$497$	1.93468	−	6.58892i	0.0867824	−	0.295554i
$498$	14.4264	−	29.0547i	0.646463	−	1.30197i
$499$	−27.6602	−	31.9215i	−1.23824	−	1.42900i	−0.865381	−	0.501115i	$-0.832923\pi$
$499$	−27.6602	−	31.9215i	−1.23824	−	1.42900i	−0.372858	−	0.927889i	$-0.621622\pi$
$500$	−1.40503	+	1.42333i	−0.0628351	+	0.0636534i
$501$	−6.44477	−	21.9489i	−0.287931	−	0.980603i
$502$	−17.7743	+	10.6239i	−0.793308	+	0.474167i
$503$	−2.56665	+	17.8514i	−0.114441	+	0.795955i	0.849069	+	0.528282i	$0.177164\pi$
$503$	−2.56665	+	17.8514i	−0.114441	+	0.795955i	−0.963510	+	0.267673i	$0.913745\pi$
$504$	3.93813	−	1.35332i	0.175418	−	0.0602818i
$505$		−	2.80271i		−	0.124719i
$506$	−1.17465	−	0.312535i	−0.0522197	−	0.0138939i
$507$	60.5022			2.68700
$508$	19.5874	−	26.5216i	0.869050	−	1.17671i
$509$	16.5636	+	2.38149i	0.734171	+	0.105558i	0.499251	−	0.866457i	$-0.333608\pi$
$509$	16.5636	+	2.38149i	0.734171	+	0.105558i	0.234919	+	0.972015i	$0.424517\pi$
$510$	2.51900	−	1.50563i	0.111543	−	0.0666705i
$511$	0.768019	−	0.225511i	0.0339752	−	0.00997600i
$512$	−6.51776	+	21.6684i	−0.288047	+	0.957616i
$513$	−0.271521	+	0.235274i	−0.0119879	+	0.0103876i
$514$	38.7259	+	19.2284i	1.70813	+	0.848129i
$515$	5.56499	+	1.63403i	0.245223	+	0.0720039i
$516$	1.22944	−	3.36253i	0.0541231	−	0.148027i
$517$	0.0864146	+	0.0555353i	0.00380051	+	0.00244244i
$518$	−9.94726	+	4.15804i	−0.437057	+	0.182694i
$519$	−31.8375	−	27.5873i	−1.39751	−	1.21095i
$520$	−8.96941	+	15.4570i	−0.393334	+	0.677834i
$521$	−17.8048	+	2.55994i	−0.780041	+	0.112153i	−0.520822	−	0.853665i	$-0.674374\pi$
$521$	−17.8048	+	2.55994i	−0.780041	+	0.112153i	−0.259220	+	0.965818i	$0.583465\pi$
$522$	1.46965	+	13.2658i	0.0643246	+	0.580629i
$523$	−2.05150	+	0.936891i	−0.0897060	+	0.0409674i	−0.459763	−	0.888042i	$-0.652066\pi$
$523$	−2.05150	+	0.936891i	−0.0897060	+	0.0409674i	0.370057	+	0.929009i	$0.379338\pi$
$524$	−6.74487	−	8.88962i	−0.294651	−	0.388345i
$525$	−0.670238	+	1.46762i	−0.0292516	+	0.0640520i
$526$	15.9934	+	14.7941i	0.697348	+	0.645055i
$527$	4.68893	−	3.01339i	0.204253	−	0.131265i
$528$	−1.07071	−	1.20383i	−0.0465966	−	0.0523901i
$529$	17.7789	−	14.5914i	0.772997	−	0.634410i
$530$	3.32235	−	4.81828i	0.144313	−	0.209293i
$531$	−14.0677	+	9.04073i	−0.610484	+	0.392334i
$532$	−0.0529274	−	0.235944i	−0.00229469	−	0.0102295i
$533$	19.6364	+	8.96763i	0.850546	+	0.388431i
$534$	−21.3708	−	7.03618i	−0.924804	−	0.304485i
$535$	3.56348	−	1.62739i	0.154063	−	0.0703582i
$536$	3.91719	−	2.00858i	0.169197	−	0.0867574i
$537$	0.443055	+	3.08151i	0.0191192	+	0.132977i
$538$	13.8601	+	17.0859i	0.597550	+	0.736624i
$539$	−0.878303	−	0.761054i	−0.0378312	−	0.0327809i
$540$	−0.879943	+	4.17489i	−0.0378667	+	0.179659i
$541$	−10.7066	+	16.6597i	−0.460311	+	0.716258i	−0.991372	−	0.131075i	$-0.958157\pi$
$541$	−10.7066	+	16.6597i	−0.460311	+	0.716258i	0.531061	+	0.847333i	$0.321793\pi$
$542$	31.8892	−	8.24920i	1.36976	−	0.354333i
$543$	15.6856	+	4.60571i	0.673134	+	0.197650i
$544$	1.37343	+	5.03945i	0.0588852	+	0.216065i
$545$	6.85734	+	7.91379i	0.293736	+	0.338990i
$546$	−2.51381	+	14.1957i	−0.107581	+	0.607522i
$547$	−3.36108	+	0.986902i	−0.143709	+	0.0421969i	−0.352796	−	0.935700i	$-0.614769\pi$
$547$	−3.36108	+	0.986902i	−0.143709	+	0.0421969i	0.209087	+	0.977897i	$0.432951\pi$
$548$	−0.123547	+	1.90008i	−0.00527765	+	0.0811675i
$549$	−2.58871	+	18.0049i	−0.110483	+	0.768429i
$550$	0.253320	+	0.00822696i	0.0108016	+	0.000350799i
$551$	0.775040			0.0330178
$552$	30.3222	−	3.14737i	1.29060	−	0.133961i
$553$	−4.30932			−0.183251
$554$	14.9776	+	0.486421i	0.636337	+	0.0206660i
$555$	−3.39639	+	23.6224i	−0.144169	+	1.00272i
$556$	−43.0121	−	2.79672i	−1.82412	−	0.118607i
$557$	−18.6533	+	5.47710i	−0.790365	+	0.232072i	−0.651910	−	0.758297i	$-0.726032\pi$
$557$	−18.6533	+	5.47710i	−0.790365	+	0.232072i	−0.138455	+	0.990369i	$0.544214\pi$
$558$	3.05267	−	17.2388i	0.129230	−	0.729775i
$559$	3.29575	+	3.80350i	0.139395	+	0.160871i
$560$	−2.19438	−	1.85228i	−0.0927296	−	0.0782731i
$561$	−0.356837	−	0.104777i	−0.0150657	−	0.00442367i
$562$	−39.3632	+	10.1826i	−1.66044	+	0.429527i
$563$	−7.49848	+	11.6679i	−0.316023	+	0.491742i	−0.962533	−	0.271164i	$-0.912591\pi$
$563$	−7.49848	+	11.6679i	−0.316023	+	0.491742i	0.646510	+	0.762905i	$0.276228\pi$
$564$	−2.52085	−	0.531322i	−0.106147	−	0.0223727i
$565$	14.1526	+	12.2633i	0.595404	+	0.515921i
$566$	−27.3596	−	33.7274i	−1.15001	−	1.41767i
$567$	1.11841	+	7.77870i	0.0469687	+	0.326675i
$568$	24.0747	−	12.3445i	1.01015	−	0.517965i
$569$	−29.8962	+	13.6531i	−1.25331	+	0.572369i	−0.927768	−	0.373157i	$-0.878275\pi$
$569$	−29.8962	+	13.6531i	−1.25331	+	0.572369i	−0.325546	+	0.945526i	$0.605548\pi$
$570$	−0.508413	−	0.167391i	−0.0212951	−	0.00701125i
$571$	−17.3239	−	7.91156i	−0.724983	−	0.331088i	0.0185136	−	0.999829i	$-0.494107\pi$
$571$	−17.3239	−	7.91156i	−0.724983	−	0.331088i	−0.743496	+	0.668740i	$0.766834\pi$
$572$	2.20980	−	0.495707i	0.0923964	−	0.0207265i
$573$	−12.0470	+	7.74211i	−0.503269	+	0.323431i
$574$	−1.96910	+	2.85572i	−0.0821887	+	0.119195i
$575$	−2.92513	+	3.80047i	−0.121986	+	0.158491i
$576$	14.5492	+	7.58168i	0.606215	+	0.315903i
$577$	−24.7937	+	15.9340i	−1.03218	+	0.663339i	−0.943040	−	0.332680i	$-0.892047\pi$
$577$	−24.7937	+	15.9340i	−1.03218	+	0.663339i	−0.0891362	+	0.996019i	$0.528411\pi$
$578$	−16.7637	−	15.5067i	−0.697279	−	0.644992i
$579$	6.79132	−	14.8709i	0.282238	−	0.618014i
$580$	7.33244	−	5.56338i	0.304463	−	0.231007i
$581$	−6.66515	+	3.04387i	−0.276517	+	0.126281i
$582$	−6.27802	−	56.6688i	−0.260232	−	2.34900i
$583$	−0.734140	+	0.105553i	−0.0304050	+	0.00437158i
$584$	2.72763	+	1.58279i	0.112870	+	0.0654964i
$585$	9.79252	+	8.48527i	0.404871	+	0.350823i
$586$	16.2557	−	6.79503i	0.671518	−	0.280700i
$587$	2.53058	+	1.62631i	0.104448	+	0.0671248i	0.591822	−	0.806069i	$-0.298409\pi$
$587$	2.53058	+	1.62631i	0.104448	+	0.0671248i	−0.487374	+	0.873193i	$0.662045\pi$
$588$	27.3745	+	10.0089i	1.12891	+	0.412760i
$589$	−0.975425	−	0.286411i	−0.0401917	−	0.0118013i
$590$	10.3286	+	5.12842i	0.425222	+	0.211134i
$591$	27.8191	−	24.1054i	1.14433	−	0.991563i
$592$	−38.8631	−	17.1440i	−1.59726	−	0.704614i
$593$	−42.2912	+	12.4178i	−1.73669	+	0.509938i	−0.988195	−	0.153201i	$-0.951042\pi$
$593$	−42.2912	+	12.4178i	−1.73669	+	0.509938i	−0.748496	+	0.663139i	$0.769224\pi$
$594$	0.464109	−	0.277402i	0.0190426	−	0.0113820i
$595$	−0.656132	−	0.0943376i	−0.0268988	−	0.00386746i
$596$	−16.2549	−	12.0050i	−0.665826	−	0.491742i
$597$	−28.7473			−1.17655
$598$	−16.7998	+	39.4226i	−0.686994	+	1.61211i
$599$		−	36.8386i		−	1.50518i	−0.658488	−	0.752592i	$-0.728803\pi$
$599$		−	36.8386i		−	1.50518i	0.658488	−	0.752592i	$-0.271197\pi$
$600$	−6.01152	+	2.06584i	−0.245419	+	0.0843375i
$601$	−1.82131	+	12.6675i	−0.0742929	+	0.516719i	0.918362	+	0.395741i	$0.129512\pi$
$601$	−1.82131	+	12.6675i	−0.0742929	+	0.516719i	−0.992655	+	0.120978i	$0.961397\pi$
$602$	−0.694155	+	0.414903i	−0.0282917	+	0.0169102i
$603$	−0.899230	−	3.06250i	−0.0366195	−	0.124714i
$604$	2.55573	+	2.52287i	0.103991	+	0.102654i
$605$	7.18243	+	8.28897i	0.292007	+	0.336995i
$606$	3.96151	−	7.97846i	0.160925	−	0.324103i
$607$	−2.55304	+	8.69485i	−0.103625	+	0.352913i	−0.994940	−	0.100471i	$-0.967965\pi$
$607$	−2.55304	+	8.69485i	−0.103625	+	0.352913i	0.891315	+	0.453384i	$0.149783\pi$
$608$	0.530607	−	0.791235i	0.0215190	−	0.0320888i
$609$	4.01429	−	6.24635i	0.162667	−	0.253115i
$610$	11.5735	−	4.83781i	0.468596	−	0.195877i
$611$	2.37153	−	2.73689i	0.0959416	−	0.110723i
$612$	3.77567	−	0.294604i	0.152622	−	0.0119087i
$613$	0.231293	+	1.60868i	0.00934186	+	0.0649740i	0.993959	−	0.109751i	$-0.0350054\pi$
$613$	0.231293	+	1.60868i	0.00934186	+	0.0649740i	−0.984617	+	0.174725i	$0.944096\pi$
$614$	5.08055	−	0.562846i	0.205034	−	0.0227146i
$615$	3.18974	+	6.98455i	0.128623	+	0.281644i
$616$	0.0165174	+	0.363537i	0.000665506	+	0.0146473i
$617$	30.0949	+	13.7439i	1.21158	+	0.553309i	0.915679	−	0.401911i	$-0.131654\pi$
$617$	30.0949	+	13.7439i	1.21158	+	0.553309i	0.295898	+	0.955220i	$0.404381\pi$
$618$	13.5322	+	12.5175i	0.544345	+	0.503526i
$619$	−5.30180	−	8.24976i	−0.213097	−	0.331586i	0.718206	−	0.695831i	$-0.244964\pi$
$619$	−5.30180	−	8.24976i	−0.213097	−	0.331586i	−0.931303	+	0.364245i	$0.881327\pi$
$620$	−11.2841	+	4.29213i	−0.453182	+	0.172376i
$621$	−0.866309	+	10.1942i	−0.0347638	+	0.409081i
$622$	−21.2307	−	14.6392i	−0.851275	−	0.586979i
$623$	2.74759	+	4.27534i	0.110080	+	0.171288i
$624$	−47.3809	+	31.3234i	−1.89676	+	1.25394i
$625$	0.415415	−	0.909632i	0.0166166	−	0.0363853i
$626$	−16.8015	−	5.53178i	−0.671524	−	0.221094i
$627$	0.0281783	+	0.0617019i	0.00112533	+	0.00246414i
$628$	−10.3173	+	19.1888i	−0.411704	+	0.765715i
$629$	−9.70538	+	1.39542i	−0.386979	+	0.0556391i
$630$	−1.61696	+	1.31168i	−0.0644214	+	0.0522587i
$631$	24.6394	−	28.4354i	0.980879	−	1.13199i	−0.0103641	−	0.999946i	$-0.503299\pi$
$631$	24.6394	−	28.4354i	0.980879	−	1.13199i	0.991243	−	0.132049i	$-0.0421555\pi$
$632$	−11.6891	−	12.3132i	−0.464968	−	0.489794i
$633$	17.9968	+	11.5658i	0.715309	+	0.459701i
$634$	4.44112	−	1.14884i	0.176380	−	0.0456264i
$635$	−4.64445	+	15.8175i	−0.184309	+	0.627700i
$636$	16.2681	−	9.02018i	0.645073	−	0.357674i
$637$	−30.9644	+	26.8308i	−1.22685	+	1.06308i
$638$	−1.14854	−	0.203385i	−0.0454711	−	0.00805210i
$639$	−5.52658	−	18.8218i	−0.218628	−	0.744579i
$640$	−0.659701	−	11.2945i	−0.0260770	−	0.446453i
$641$	−19.5377	−	2.80909i	−0.771691	−	0.110952i	−0.254789	−	0.966997i	$-0.582006\pi$
$641$	−19.5377	−	2.80909i	−0.771691	−	0.110952i	−0.516902	+	0.856044i	$0.672915\pi$
$642$	12.4444	+	0.404152i	0.491141	+	0.0159506i
$643$		−	8.65607i		−	0.341362i	−0.985326	−	0.170681i	$-0.945403\pi$
$643$		−	8.65607i		−	0.341362i	0.985326	−	0.170681i	$-0.0545968\pi$
$644$	−5.76696	−	3.76274i	−0.227250	−	0.148273i
$645$			1.79012i			0.0704860i
$646$	0.00713829	−	0.219798i	0.000280852	−	0.00864784i
$647$	47.9839	+	6.89904i	1.88644	+	0.271229i	0.986374	−	0.164520i	$-0.0526076\pi$
$647$	47.9839	+	6.89904i	1.88644	+	0.271229i	0.900068	+	0.435750i	$0.143517\pi$
$648$	−19.1927	+	24.2956i	−0.753962	+	0.954420i
$649$	−0.411717	−	1.40218i	−0.0161613	−	0.0550404i
$650$	1.55806	−	8.79856i	0.0611123	−	0.345108i
$651$	−7.36047	+	6.37788i	−0.288479	+	0.249969i
$652$	−7.40254	+	4.10448i	−0.289906	+	0.160744i
$653$	8.27532	−	28.1832i	0.323838	−	1.10289i	−0.623278	−	0.782001i	$-0.714199\pi$
$653$	8.27532	−	28.1832i	0.323838	−	1.10289i	0.947116	−	0.320891i	$-0.103982\pi$
$654$	8.33495	+	32.2207i	0.325922	+	1.25993i
$655$	4.69369	+	3.01645i	0.183398	+	0.117862i
$656$	−13.5010	+	2.11979i	−0.527126	+	0.0827640i
$657$	1.49736	−	1.72804i	0.0584175	−	0.0674174i
$658$	0.366599	+	0.451921i	0.0142915	+	0.0176177i
$659$	−13.7454	+	1.97629i	−0.535444	+	0.0769852i	−0.404732	−	0.914435i	$-0.632635\pi$
$659$	−13.7454	+	1.97629i	−0.535444	+	0.0769852i	−0.130711	+	0.991420i	$0.541726\pi$
$660$	0.709495	+	0.381476i	0.0276171	+	0.0148489i
$661$	13.9877	+	30.6287i	0.544058	+	1.19132i	0.959502	+	0.281702i	$0.0908988\pi$
$661$	13.9877	+	30.6287i	0.544058	+	1.19132i	−0.415444	+	0.909619i	$0.636374\pi$
$662$	−2.76820	+	8.40778i	−0.107589	+	0.326777i
$663$	−5.44663	+	11.9265i	−0.211530	+	0.463185i
$664$	−26.7768	−	10.7881i	−1.03914	−	0.418659i
$665$	0.0653655	+	0.101711i	0.00253477	+	0.00394417i
$666$	−17.4828	+	25.3546i	−0.677443	+	0.982472i
$667$	15.8137	−	15.3962i	0.612309	−	0.596143i
$668$	−19.0274	+	7.23742i	−0.736193	+	0.280024i
$669$	14.5880	+	22.6993i	0.564003	+	0.877606i
$670$	−1.49463	+	1.61579i	−0.0577425	+	0.0624235i
$671$	−1.44599	−	0.660363i	−0.0558219	−	0.0254930i
$672$	−3.62862	−	8.37454i	−0.139977	−	0.323055i
$673$	−6.77535	−	14.8359i	−0.261171	−	0.571884i	0.732935	−	0.680298i	$-0.238150\pi$
$673$	−6.77535	−	14.8359i	−0.261171	−	0.571884i	−0.994106	+	0.108415i	$0.965423\pi$
$674$	1.02846	+	9.28347i	0.0396149	+	0.357586i
$675$	−0.303601	−	2.11159i	−0.0116856	−	0.0812753i
$676$	−4.18842	−	53.6790i	−0.161093	−	2.06458i
$677$	−19.8781	+	22.9405i	−0.763976	+	0.881675i	−0.995844	−	0.0910722i	$-0.970971\pi$
$677$	−19.8781	+	22.9405i	−0.763976	+	0.881675i	0.231869	+	0.972747i	$0.425516\pi$
$678$	22.9545	+	54.9139i	0.881562	+	2.10896i
$679$	−6.96268	+	10.8341i	−0.267203	+	0.415776i
$680$	−1.51022	−	2.13069i	−0.0579142	−	0.0817082i
$681$	6.14257	−	20.9197i	0.235384	−	0.801643i
$682$	1.37033	+	0.680405i	0.0524727	+	0.0260540i
$683$	0.0840754	+	0.0970282i	0.00321706	+	0.00371268i	0.757356	−	0.653002i	$-0.226491\pi$
$683$	0.0840754	+	0.0970282i	0.00321706	+	0.00371268i	−0.754139	+	0.656715i	$0.771945\pi$
$684$	−0.491579	−	0.485259i	−0.0187960	−	0.0185544i
$685$	−0.268223	−	0.913482i	−0.0102483	−	0.0349024i
$686$	−7.02394	−	11.7514i	−0.268175	−	0.448672i
$687$	−5.88135	+	40.9057i	−0.224388	+	1.56065i
$688$	−3.06843	−	0.858009i	−0.116983	−	0.0327113i
$689$			26.1481i			0.996165i
$690$	−13.6988	+	6.68424i	−0.521503	+	0.254465i
$691$	−4.48496			−0.170616			−0.0853079	−	0.996355i	$-0.527187\pi$
$691$	−4.48496			−0.170616			−0.0853079	+	0.996355i	$0.527187\pi$
$692$	−22.2721	+	30.1568i	−0.846659	+	1.14639i
$693$	0.261170	+	0.0375506i	0.00992103	+	0.00142643i
$694$	11.6187	+	19.4388i	0.441041	+	0.737885i
$695$	20.6785	−	6.07175i	0.784379	−	0.230315i
$696$	28.7368	−	5.47315i	1.08927	−	0.207459i
$697$	−2.38418	+	2.06590i	−0.0903072	+	0.0782516i
$698$	−9.92036	+	19.9796i	−0.375491	+	0.756237i
$699$	−41.3835	−	12.1513i	−1.56527	−	0.459604i
$700$	1.34850	+	0.493052i	0.0509687	+	0.0186356i
$701$	−41.7874	−	26.8552i	−1.57829	−	1.01431i	−0.976465	−	0.215677i	$-0.930804\pi$
$701$	−41.7874	−	26.8552i	−1.57829	−	1.01431i	−0.601825	−	0.798628i	$-0.705559\pi$
$702$	−7.35166	−	17.5873i	−0.277470	−	0.663792i
$703$	1.35157	+	1.17114i	0.0509754	+	0.0441705i
$704$	−0.993947	+	1.03330i	−0.0374608	+	0.0389439i
$705$	1.27501	−	0.183318i	0.0480196	−	0.00690417i
$706$	23.7309	−	2.62901i	0.893123	−	0.0989440i
$707$	−1.83026	+	0.835851i	−0.0688339	+	0.0314354i
$708$	22.1536	+	29.1981i	0.832583	+	1.09733i
$709$	−4.54749	+	9.95762i	−0.170785	+	0.373966i	−0.975599	−	0.219561i	$-0.929538\pi$
$709$	−4.54749	+	9.95762i	−0.170785	+	0.373966i	0.804814	+	0.593527i	$0.202265\pi$
$710$	−9.18584	+	9.93051i	−0.344739	+	0.372685i
$711$	−10.3558	+	6.65526i	−0.388372	+	0.249592i
$712$	−4.76322	+	19.4478i	−0.178509	+	0.728836i
$713$	−25.5919	+	13.5330i	−0.958423	+	0.506815i
$714$	−1.73447	−	1.19596i	−0.0649108	−	0.0447579i
$715$	−0.952601	+	0.612199i	−0.0356252	+	0.0228950i
$716$	2.70332	−	0.606415i	0.101028	−	0.0226628i
$717$	10.2904	+	4.69948i	0.384303	+	0.175505i
$718$	−8.78988	+	26.6973i	−0.328035	+	0.996333i
$719$	20.8491	−	9.52149i	0.777542	−	0.355091i	0.0132085	−	0.999913i	$-0.495795\pi$
$719$	20.8491	−	9.52149i	0.777542	−	0.355091i	0.764333	+	0.644821i	$0.223068\pi$
$720$	−8.13398	−	1.06226i	−0.303136	−	0.0395882i
$721$	−0.592572	−	4.12143i	−0.0220685	−	0.153490i
$722$	20.8363	−	16.9024i	0.775448	−	0.629044i
$723$	11.1845	+	9.69144i	0.415957	+	0.360429i
$724$	3.00042	−	14.2355i	0.111510	−	0.529058i
$725$	−2.48806	+	3.87150i	−0.0924043	+	0.143784i
$726$	8.73009	+	33.7482i	0.324004	+	1.25251i
$727$	8.50035	+	2.49593i	0.315260	+	0.0925688i	0.435535	−	0.900172i	$-0.356559\pi$
$727$	8.50035	+	2.49593i	0.315260	+	0.0925688i	−0.120274	+	0.992741i	$0.538377\pi$
$728$	12.7688	+	1.24758i	0.473245	+	0.0462382i
$729$	5.28203	+	6.09579i	0.195631	+	0.225770i
$730$	−1.55264	−	0.274945i	−0.0574659	−	0.0101762i
$731$	−0.705687	+	0.207209i	−0.0261008	+	0.00766388i
$732$	39.7841	+	2.58684i	1.47046	+	0.0956122i
$733$	−1.19865	+	8.33676i	−0.0442730	+	0.307925i	0.955638	+	0.294545i	$0.0951682\pi$
$733$	−1.19865	+	8.33676i	−0.0442730	+	0.307925i	−0.999910	+	0.0133799i	$0.995741\pi$
$734$	0.232204	−	7.14988i	0.00857080	−	0.263907i
$735$	−14.5734			−0.537550
$736$	−4.89155	−	26.6847i	−0.180305	−	0.983611i
$737$	0.278934			0.0102747
$738$	−0.321637	+	9.90366i	−0.0118396	+	0.364559i
$739$	0.554734	−	3.85826i	0.0204062	−	0.141928i	−0.977071	−	0.212913i	$-0.931705\pi$
$739$	0.554734	−	3.85826i	0.0204062	−	0.141928i	0.997477	+	0.0709844i	$0.0226141\pi$
$740$	21.1935	+	1.37804i	0.779089	+	0.0506578i
$741$	2.29453	−	0.673734i	0.0842915	−	0.0247502i
$742$	−4.13731	−	0.732642i	−0.151885	−	0.0268961i
$743$	15.1611	+	17.4968i	0.556207	+	0.641897i	0.962318	−	0.271927i	$-0.0876609\pi$
$743$	15.1611	+	17.4968i	0.556207	+	0.641897i	−0.406111	+	0.913824i	$0.633115\pi$
$744$	−38.1892	−	3.73127i	−1.40008	−	0.136795i
$745$	9.69445	+	2.84655i	0.355177	+	0.104289i
$746$	−8.99284	−	34.7639i	−0.329251	−	1.27280i
$747$	−11.3162	+	17.6083i	−0.414038	+	0.644255i
$748$	−0.0682575	+	0.323848i	−0.00249574	+	0.0118410i
$749$	−2.12547	−	1.84173i	−0.0776631	−	0.0672954i
$750$	2.46828	−	2.00227i	0.0901290	−	0.0731127i
$751$	−3.95497	−	27.5074i	−0.144319	−	1.00376i	−0.925308	−	0.379216i	$-0.876194\pi$
$751$	−3.95497	−	27.5074i	−0.144319	−	1.00376i	0.780990	−	0.624544i	$-0.214715\pi$
$752$	−0.296889	+	2.27334i	−0.0108264	+	0.0829004i
$753$	29.9332	−	13.6700i	1.09083	−	0.498164i
$754$	−12.8599	+	39.0589i	−0.468329	+	1.42244i
$755$	−1.63333	−	0.745917i	−0.0594430	−	0.0271467i
$756$	2.98876	−	0.670444i	0.108700	−	0.0243838i
$757$	−32.5275	+	20.9041i	−1.18223	+	0.759774i	−0.975795	−	0.218686i	$-0.929823\pi$
$757$	−32.5275	+	20.9041i	−1.18223	+	0.759774i	−0.206436	+	0.978460i	$0.566187\pi$
$758$	22.4909	+	15.5081i	0.816906	+	0.563280i
$759$	1.80065	+	0.699186i	0.0653596	+	0.0253788i
$760$	−0.113317	+	0.462664i	−0.00411046	+	0.0167826i
$761$	−26.3198	+	16.9147i	−0.954093	+	0.613158i	−0.922357	−	0.386338i	$-0.873740\pi$
$761$	−26.3198	+	16.9147i	−0.954093	+	0.613158i	−0.0317357	+	0.999496i	$0.510103\pi$
$762$	−35.5787	+	38.4630i	−1.28888	+	1.39337i
$763$	3.12289	−	6.83819i	0.113056	−	0.247559i
$764$	7.70297	+	10.1524i	0.278684	+	0.367300i
$765$	−1.72245	+	0.786618i	−0.0622754	+	0.0284402i
$766$	34.2913	−	3.79894i	1.23899	−	0.137261i
$767$	−50.9961	+	7.33214i	−1.84136	+	0.264748i
$768$	14.0863	−	33.0843i	0.508294	−	1.19383i
$769$	−3.83319	−	3.32148i	−0.138228	−	0.119775i	0.583002	−	0.812470i	$-0.301878\pi$
$769$	−3.83319	−	3.32148i	−0.138228	−	0.119775i	−0.721231	+	0.692695i	$0.756423\pi$
$770$	−0.0701749	−	0.167879i	−0.00252893	−	0.00604995i
$771$	−57.8023	−	37.1473i	−2.08170	−	1.33783i
$772$	−13.6640	−	4.99595i	−0.491778	−	0.179808i
$773$	29.9423	+	8.79186i	1.07695	+	0.316221i	0.771658	−	0.636037i	$-0.219428\pi$
$773$	29.9423	+	8.79186i	1.07695	+	0.316221i	0.305292	+	0.952259i	$0.401246\pi$
$774$	−1.02736	+	2.06910i	−0.0369278	+	0.0743723i
$775$	4.56203	−	3.95302i	0.163873	−	0.141997i
$776$	−49.8433	+	9.49305i	−1.78927	+	0.340781i
$777$	16.4391	−	4.82695i	0.589749	−	0.173166i
$778$	24.2064	+	40.4986i	0.867841	+	1.45194i
$779$	0.569538	+	0.0818872i	0.0204058	+	0.00293391i
$780$	16.8717	−	22.8445i	0.604104	−	0.817966i
$781$	1.71430			0.0613425
$782$	−4.22065	−	4.62651i	−0.150930	−	0.165443i
$783$			9.81761i			0.350853i
$784$	6.98508	−	24.9802i	0.249467	−	0.892151i
$785$	1.55028	−	10.7824i	0.0553317	−	0.384841i
$786$	9.09787	+	15.2212i	0.324510	+	0.542923i
$787$	5.71943	+	19.4786i	0.203876	+	0.694337i	0.996421	+	0.0845245i	$0.0269371\pi$
$787$	5.71943	+	19.4786i	0.203876	+	0.694337i	−0.792546	+	0.609813i	$0.791245\pi$
$788$	−23.3127	−	23.0130i	−0.830482	−	0.819805i
$789$	−22.6727	−	26.1656i	−0.807168	−	0.931521i
$790$	7.60331	+	3.77524i	0.270514	+	0.134317i
$791$	3.78760	−	12.8994i	0.134671	−	0.458649i
$792$	0.601134	+	0.848110i	0.0213604	+	0.0301363i
$793$	−30.2990	+	47.1461i	−1.07595	+	1.67421i
$794$	11.6381	+	27.8418i	0.413021	+	0.988068i
$795$	−6.09070	+	7.02904i	−0.216015	+	0.249294i
$796$	1.99011	+	25.5053i	0.0705374	+	0.904012i
$797$	−0.908337	−	6.31762i	−0.0321750	−	0.223782i	0.967389	−	0.253294i	$-0.0815138\pi$
$797$	−0.908337	−	6.31762i	−0.0321750	−	0.223782i	−0.999564	+	0.0295118i	$0.990605\pi$
$798$	0.0423120	+	0.381931i	0.00149783	+	0.0135202i
$799$	0.219850	+	0.481404i	0.00777773	+	0.0170308i
$800$	2.24903	+	5.19056i	0.0795150	+	0.183514i
$801$	13.2055	+	6.03077i	0.466595	+	0.213087i
$802$	20.0387	−	21.6631i	0.707590	−	0.764952i
$803$	0.108032	+	0.168101i	0.00381237	+	0.00593217i
$804$	−6.53860	+	2.48707i	−0.230599	+	0.0877124i
$805$	3.35419	+	0.776790i	0.118220	+	0.0273783i
$806$	30.6187	−	44.4053i	1.07850	−	1.56411i
$807$	−18.9020	−	29.4121i	−0.665382	−	1.03535i
$808$	−7.35293	−	2.96242i	−0.258675	−	0.104218i
$809$	9.39922	−	20.5814i	0.330459	−	0.723604i	−0.669354	−	0.742944i	$-0.733429\pi$
$809$	9.39922	−	20.5814i	0.330459	−	0.723604i	0.999813	+	0.0193395i	$0.00615634\pi$
$810$	4.84133	−	14.7044i	0.170107	−	0.516661i
$811$	−5.05490	−	11.0687i	−0.177502	−	0.388675i	0.799879	−	0.600161i	$-0.204897\pi$
$811$	−5.05490	−	11.0687i	−0.177502	−	0.388675i	−0.977381	+	0.211487i	$0.932170\pi$
$812$	−5.81981	−	3.12915i	−0.204235	−	0.109812i
$813$	−51.8119	+	7.44942i	−1.81712	+	0.261263i
$814$	−1.69557	−	2.09020i	−0.0594299	−	0.0732616i
$815$	2.77147	−	3.19845i	0.0970804	−	0.112037i
$816$	−1.28749	−	8.20005i	−0.0450712	−	0.287059i
$817$	0.112850	+	0.0725245i	0.00394813	+	0.00253731i
$818$	−4.98330	−	19.2641i	−0.174237	−	0.673554i
$819$	2.62073	−	8.92538i	0.0915756	−	0.311878i
$820$	5.97605	−	3.31354i	0.208693	−	0.115714i
$821$	6.63990	−	5.75351i	0.231734	−	0.200799i	−0.531252	−	0.847214i	$-0.678278\pi$
$821$	6.63990	−	5.75351i	0.231734	−	0.200799i	0.762986	+	0.646415i	$0.223733\pi$
$822$	0.527620	−	2.97953i	0.0184028	−	0.103923i
$823$	−8.07179	−	27.4900i	−0.281365	−	0.958241i	−0.971989	−	0.235027i	$-0.924482\pi$
$823$	−8.07179	−	27.4900i	−0.281365	−	0.958241i	0.690624	−	0.723214i	$-0.257336\pi$
$824$	10.1690	−	12.8727i	0.354254	−	0.448440i
$825$	−0.398674	−	0.0573207i	−0.0138801	−	0.00199565i
$826$	0.268723	−	8.27435i	0.00935006	−	0.287901i
$827$			50.9764i			1.77262i	0.463088	+	0.886312i	$0.346741\pi$
$827$			50.9764i			1.77262i	−0.463088	+	0.886312i	$0.653259\pi$
$828$	−19.6698	−	0.135866i	−0.683571	−	0.00472166i
$829$			7.35340i			0.255394i	0.991813	+	0.127697i	$0.0407585\pi$
$829$			7.35340i			0.255394i	−0.991813	+	0.127697i	$0.959241\pi$
$830$	14.4265	+	0.468525i	0.500753	+	0.0162627i
$831$	−23.5717	−	3.38910i	−0.817693	−	0.117567i
$832$	31.0710	+	39.8691i	1.07719	+	1.38221i
$833$	−1.68689	−	5.74502i	−0.0584473	−	0.199053i
$834$	67.4474	+	11.9437i	2.33551	+	0.413577i
$835$	7.69254	−	6.66562i	0.266211	−	0.230673i
$836$	0.0527927	−	0.0292720i	0.00182587	−	0.00101239i
$837$	3.62803	−	12.3559i	0.125403	−	0.427084i
$838$	37.4447	−	9.68630i	1.29350	−	0.334608i
$839$	−31.3949	−	20.1763i	−1.08387	−	0.696562i	−0.128423	−	0.991719i	$-0.540992\pi$
$839$	−31.3949	−	20.1763i	−1.08387	−	0.696562i	−0.955449	+	0.295157i	$0.904628\pi$
$840$	3.14187	+	3.30962i	0.108405	+	0.114193i
$841$	−5.12168	+	5.91073i	−0.176610	+	0.203818i
$842$	27.4784	−	22.2905i	0.946968	−	0.768181i
$843$	63.9552	−	9.19537i	2.20273	−	0.316705i
$844$	9.01562	−	16.7679i	0.310331	−	0.577174i
$845$	11.1834	+	24.4883i	0.384721	+	0.842422i
$846$	1.57892	+	0.519847i	0.0542843	+	0.0178727i
$847$	3.27095	−	7.16237i	0.112391	−	0.246102i
$848$	−9.12913	−	13.8090i	−0.313496	−	0.474204i
$849$	37.3124	+	58.0592i	1.28056	+	1.99259i
$850$	1.07503	+	0.741262i	0.0368731	+	0.0254251i
$851$	50.8419	−	2.95332i	1.74284	−	0.101239i
$852$	−40.1856	+	15.2853i	−1.37674	+	0.523667i
$853$	0.732709	+	1.14012i	0.0250875	+	0.0390369i	0.853571	−	0.520977i	$-0.174432\pi$
$853$	0.732709	+	1.14012i	0.0250875	+	0.0390369i	−0.828483	+	0.560014i	$0.810796\pi$
$854$	−6.61079	−	6.11506i	−0.226217	−	0.209253i
$855$	0.314161	+	0.143473i	0.0107441	+	0.00490666i
$856$	−0.502921	−	11.0689i	−0.0171895	−	0.378329i
$857$	9.23741	+	20.2271i	0.315544	+	0.690944i	0.999246	−	0.0388163i	$-0.0123587\pi$
$857$	9.23741	+	20.2271i	0.315544	+	0.690944i	−0.683703	+	0.729761i	$0.739631\pi$
$858$	−3.57708	+	0.396285i	−0.122119	+	0.0135289i
$859$	−7.41435	−	51.5680i	−0.252974	−	1.75948i	−0.580147	−	0.814512i	$-0.697005\pi$
$859$	−7.41435	−	51.5680i	−0.252974	−	1.75948i	0.327173	−	0.944964i	$-0.393904\pi$
$860$	1.58824	−	0.123926i	0.0541586	−	0.00422583i
$861$	3.60986	−	4.16600i	0.123024	−	0.141977i
$862$	−39.1197	+	16.3524i	−1.33242	+	0.556964i
$863$	−9.02337	+	14.0406i	−0.307159	+	0.477949i	−0.960177	−	0.279394i	$-0.909866\pi$
$863$	−9.02337	+	14.0406i	−0.307159	+	0.477949i	0.653017	+	0.757343i	$0.273503\pi$
$864$	10.0228	+	6.72133i	0.340981	+	0.228664i
$865$	5.28103	−	17.9856i	0.179561	−	0.611527i
$866$	−7.70930	+	15.5265i	−0.261973	+	0.527611i
$867$	23.7646	+	27.4258i	0.807088	+	0.931430i
$868$	6.16816	+	6.08886i	0.209361	+	0.206669i
$869$	−0.303082	−	1.03220i	−0.0102814	−	0.0350151i
$870$	−12.5550	+	7.50421i	−0.425653	+	0.254417i
$871$	1.39949	−	9.73366i	0.0474199	−	0.329813i
$872$	28.0100	−	9.62553i	0.948538	−	0.325962i
$873$			36.7887i			1.24511i
$874$	−0.133609	+	1.13438i	−0.00451941	+	0.0383710i
$875$	−0.717907			−0.0242697
$876$	−4.03128	−	2.97728i	−0.136204	−	0.100593i
$877$	−35.1933	−	5.06003i	−1.18839	−	0.170865i	−0.480377	−	0.877062i	$-0.659500\pi$
$877$	−35.1933	−	5.06003i	−1.18839	−	0.170865i	−0.708015	+	0.706197i	$0.750409\pi$
$878$	−33.7333	+	20.1627i	−1.13844	+	0.680459i
$879$	−26.8646	+	7.88817i	−0.906122	+	0.266061i
$880$	0.289338	−	0.655890i	0.00975359	−	0.0221100i
$881$	11.4607	−	9.93075i	0.386120	−	0.334575i	−0.440073	−	0.897962i	$-0.645047\pi$
$881$	11.4607	−	9.93075i	0.386120	−	0.334575i	0.826193	+	0.563387i	$0.190502\pi$
$882$	−16.8446	−	8.36379i	−0.567188	−	0.281623i
$883$	−19.4427	−	5.70889i	−0.654299	−	0.192120i	−0.0622992	−	0.998058i	$-0.519843\pi$
$883$	−19.4427	−	5.70889i	−0.654299	−	0.192120i	−0.592000	+	0.805938i	$0.701661\pi$
$884$	10.9585	+	4.00675i	0.368574	+	0.134761i
$885$	−15.4165	−	9.90756i	−0.518219	−	0.333039i
$886$	48.2659	−	20.1756i	1.62153	−	0.677811i
$887$	9.93809	+	8.61141i	0.333689	+	0.289143i	0.805547	−	0.592531i	$-0.201871\pi$
$887$	9.93809	+	8.61141i	0.333689	+	0.289143i	−0.471859	+	0.881674i	$0.656417\pi$
$888$	58.3837	+	33.8790i	1.95923	+	1.13690i
$889$	11.7145	−	1.68429i	0.392891	−	0.0564891i
$890$	−1.10235	−	9.95042i	−0.0369509	−	0.333539i
$891$	−1.78456	+	0.814979i	−0.0597849	+	0.0273028i
$892$	19.1295	−	14.5142i	0.640503	−	0.485972i
$893$	0.0400988	−	0.0878041i	0.00134185	−	0.00293825i
$894$	23.5737	+	21.8059i	0.788421	+	0.729299i
$895$	−1.16535	+	0.748924i	−0.0389533	+	0.0250338i
$896$	−7.17889	+	3.79915i	−0.239830	+	0.126921i
$897$	33.4332	−	59.3275i	1.11630	−	1.98089i
$898$	−11.1858	+	16.2223i	−0.373273	+	0.541345i
$899$	−23.3701	+	15.0190i	−0.779435	+	0.500913i
$900$	4.00207	−	0.897752i	0.133402	−	0.0299251i
$901$	−3.47593	−	1.58741i	−0.115800	−	0.0528842i
$902$	−0.822515	−	0.270807i	−0.0273868	−	0.00901689i
$903$	1.16901	−	0.533867i	0.0389021	−	0.0177660i
$904$	47.1319	−	24.1673i	1.56758	−	0.803793i
$905$	1.03522	+	7.20009i	0.0344117	+	0.239339i
$906$	−3.59527	−	4.43204i	−0.119445	−	0.147245i
$907$	−10.6227	−	9.20466i	−0.352722	−	0.305636i	0.460419	−	0.887702i	$-0.347699\pi$
$907$	−10.6227	−	9.20466i	−0.352722	−	0.305636i	−0.813142	+	0.582066i	$0.802245\pi$
$908$	−18.9857	−	4.00162i	−0.630062	−	0.132798i
$909$	−3.10744	+	4.83527i	−0.103067	+	0.160376i
$910$	−6.21040	+	1.60652i	−0.205873	+	0.0532558i
$911$	41.7918	+	12.2712i	1.38462	+	0.406562i	0.887376	−	0.461047i	$-0.152526\pi$
$911$	41.7918	+	12.2712i	1.38462	+	0.406562i	0.497247	+	0.867609i	$0.334344\pi$
$912$	−0.976536	+	1.15689i	−0.0323363	+	0.0383086i
$913$	−1.19786	−	1.38241i	−0.0396435	−	0.0457511i
$914$	−5.69623	+	32.1672i	−0.188414	+	1.06400i
$915$	−19.1266	+	5.61608i	−0.632306	+	0.185662i
$916$	36.6997	+	2.38628i	1.21259	+	0.0788449i
$917$	0.570041	−	3.96472i	0.0188244	−	0.130927i
$918$	2.78423	+	0.0904225i	0.0918934	+	0.00298439i
$919$	−31.7866			−1.04854			−0.524271	−	0.851551i	$-0.675662\pi$
$919$	−31.7866			−1.04854			−0.524271	+	0.851551i	$0.675662\pi$
$920$	6.87875	+	11.6911i	0.226786	+	0.385446i
$921$	−8.12313			−0.267666
$922$	18.6843	+	0.606803i	0.615335	+	0.0199840i
$923$	8.60113	−	59.8222i	0.283110	−	1.96907i
$924$	0.0375234	−	0.577090i	0.00123443	−	0.0189849i
$925$	−10.1890	+	2.99176i	−0.335012	+	0.0983684i
$926$	−6.53972	+	36.9305i	−0.214908	+	1.21361i
$927$	−7.78910	−	8.98910i	−0.255828	−	0.295241i
$928$	−6.84529	−	25.1171i	−0.224708	−	0.824510i
$929$	20.4343	+	6.00005i	0.670427	+	0.196855i	0.599193	−	0.800605i	$-0.295488\pi$
$929$	20.4343	+	6.00005i	0.670427	+	0.196855i	0.0712338	+	0.997460i	$0.477306\pi$
$930$	18.5741	−	4.80482i	0.609070	−	0.157556i
$931$	−0.590424	+	0.918718i	−0.0193504	+	0.0301098i
$932$	−7.91605	+	37.5577i	−0.259299	+	1.23024i
$933$	30.9720	+	26.8374i	1.01398	+	0.878616i
$934$	−31.2282	−	38.4963i	−1.02182	−	1.25964i
$935$	−0.0235505	−	0.163797i	−0.000770182	−	0.00535673i
$936$	32.6117	−	16.7220i	1.06595	−	0.546574i
$937$	−4.69791	+	2.14547i	−0.153474	+	0.0700893i	−0.490671	−	0.871345i	$-0.663248\pi$
$937$	−4.69791	+	2.14547i	−0.153474	+	0.0700893i	0.337197	+	0.941434i	$0.390521\pi$
$938$	1.50091	+	0.494162i	0.0490063	+	0.0161350i
$939$	25.5697	+	11.6773i	0.834437	+	0.381075i
$940$	−0.250910	−	1.11853i	−0.00818379	−	0.0364823i
$941$	11.7352	−	7.54173i	0.382555	−	0.245853i	−0.335203	−	0.942146i	$-0.608805\pi$
$941$	11.7352	−	7.54173i	0.382555	−	0.245853i	0.717758	+	0.696293i	$0.245168\pi$
$942$	19.6536	−	28.5030i	0.640350	−	0.928677i
$943$	13.2474	−	9.64310i	0.431395	−	0.314022i
$944$	24.3716	−	21.6765i	0.793228	−	0.705510i
$945$	−1.28839	+	0.828001i	−0.0419115	+	0.0269349i
$946$	−0.148202	−	0.137089i	−0.00481847	−	0.00445714i
$947$	11.9554	−	26.1787i	0.388499	−	0.850694i	−0.609809	−	0.792548i	$-0.708754\pi$
$947$	11.9554	−	26.1787i	0.388499	−	0.850694i	0.998308	−	0.0581460i	$-0.0185189\pi$
$948$	16.3082	+	21.4939i	0.529665	+	0.698089i
$949$	6.40809	−	2.92648i	0.208015	−	0.0949974i
$950$	−0.0262250	−	0.236721i	−0.000850853	−	0.00768026i
$951$	−7.21570	+	1.03746i	−0.233985	+	0.0336420i
$952$	−0.941016	+	1.62165i	−0.0304985	+	0.0525581i
$953$	−1.87318	−	1.62312i	−0.0606782	−	0.0525779i	0.623994	−	0.781429i	$-0.285509\pi$
$953$	−1.87318	−	1.62312i	−0.0606782	−	0.0525779i	−0.684672	+	0.728851i	$0.740055\pi$
$954$	−11.0739	+	4.62898i	−0.358531	+	0.149869i
$955$	−5.36042	−	3.44493i	−0.173459	−	0.111475i
$956$	3.45711	−	9.45524i	0.111811	−	0.305804i
$957$	1.77851	+	0.522217i	0.0574910	+	0.0168809i
$958$	47.7444	+	23.7063i	1.54255	+	0.765916i
$959$	−0.516541	+	0.447585i	−0.0166800	+	0.0144533i
$960$	−0.934340	+	17.9548i	−0.0301557	+	0.579490i
$961$	5.21824	−	1.53221i	0.168330	−	0.0494263i
$962$	−81.4469	+	48.6816i	−2.62595	+	1.56956i
$963$	−7.95209	−	1.14334i	−0.256253	−	0.0368436i
$964$	7.82421	−	10.5941i	0.252001	−	0.341213i
$965$	7.27434			0.234169
$966$	8.45039	+	6.95229i	0.271887	+	0.223686i
$967$		−	24.3653i		−	0.783536i	−0.920064	−	0.391768i	$-0.871864\pi$
$967$		−	24.3653i		−	0.783536i	0.920064	−	0.391768i	$-0.128136\pi$
$968$	29.3379	−	10.0819i	0.942955	−	0.324043i
$969$	−0.0497355	+	0.345918i	−0.00159773	+	0.0111125i
$970$	21.7763	−	13.0159i	0.699194	−	0.417915i
$971$	14.1018	+	48.0264i	0.452549	+	1.54124i	0.797913	+	0.602772i	$0.205937\pi$
$971$	14.1018	+	48.0264i	0.452549	+	1.54124i	−0.345364	+	0.938469i	$0.612245\pi$
$972$	25.5737	−	25.9068i	0.820278	−	0.830961i
$973$	−10.1320	−	11.6929i	−0.324816	−	0.374858i
$974$	−16.6142	+	33.4610i	−0.532354	+	1.07216i
$975$	−4.00052	+	13.6245i	−0.128119	+	0.436334i
$976$	−0.459054	−	35.4765i	−0.0146939	−	1.13558i
$977$	10.4839	−	16.3132i	0.335409	−	0.521907i	−0.632052	−	0.774926i	$-0.717787\pi$
$977$	10.4839	−	16.3132i	0.335409	−	0.521907i	0.967461	+	0.253019i	$0.0814235\pi$
$978$	12.4104	−	5.18765i	0.396841	−	0.165883i
$979$	−0.830820	+	0.958818i	−0.0265531	+	0.0306439i
$980$	1.00888	+	12.9299i	0.0322276	+	0.413031i
$981$	−3.05613	−	21.2559i	−0.0975748	−	0.678648i
$982$	6.14153	−	0.680386i	0.195984	−	0.0217120i
$983$	−10.4649	−	22.9148i	−0.333777	−	0.730870i	0.666111	−	0.745853i	$-0.267958\pi$
$983$	−10.4649	−	22.9148i	−0.333777	−	0.730870i	−0.999888	+	0.0149832i	$0.995231\pi$
$984$	21.6955	−	0.985743i	0.691628	−	0.0314243i
$985$	14.8988	+	6.80407i	0.474717	+	0.216796i
$986$	−4.41150	−	4.08069i	−0.140491	−	0.129956i
$987$	−0.499958	−	0.777949i	−0.0159138	−	0.0247624i
$988$	−0.756597	−	1.98912i	−0.0240706	−	0.0632823i
$989$	3.74327	−	0.762006i	0.119029	−	0.0242304i
$990$	−0.427908	−	0.295055i	−0.0135998	−	0.00937747i
$991$	−18.3489	−	28.5514i	−0.582871	−	0.906966i	0.417127	−	0.908848i	$-0.363037\pi$
$991$	−18.3489	−	28.5514i	−0.582871	−	0.906966i	−0.999998	+	0.00188260i	$0.999401\pi$
$992$	−0.666726	+	34.1407i	−0.0211686	+	1.08397i
$993$	5.84353	−	12.7955i	0.185439	−	0.406054i
$994$	9.22442	+	3.03707i	0.292581	+	0.0963301i
$995$	−5.31375	−	11.6355i	−0.168457	−	0.368870i
$996$	40.4057	+	21.7250i	1.28030	+	0.688384i
$997$	−41.8667	+	6.01952i	−1.32593	+	0.190640i	−0.768642	−	0.639679i	$-0.779067\pi$
$997$	−41.8667	+	6.01952i	−1.32593	+	0.190640i	−0.557289	+	0.830319i	$0.688158\pi$
$998$	46.3898	−	37.6314i	1.46844	−	1.19120i
$999$	−14.8351	+	17.1207i	−0.469363	+	0.541674i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	920.2.bb.b.11.25	yes	480
8.3	odd	2		920.2.bb.a.11.7	✓	480
23.21	odd	22		920.2.bb.a.251.7	yes	480
184.67	even	22	inner	920.2.bb.b.251.25	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
920.2.bb.a.11.7	✓	480	8.3	odd	2
920.2.bb.a.251.7	yes	480	23.21	odd	22
920.2.bb.b.11.25	yes	480	1.1	even	1	trivial
920.2.bb.b.251.25	yes	480	184.67	even	22	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 920 = 2^{3} \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	920.bb (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.0459046 + 1.41347i) q^{2} +(0.319837 - 2.22451i) q^{3} +(-1.99579 - 0.129770i) q^{4} +(0.959493 - 0.281733i) q^{5} +(3.12960 + 0.554195i) q^{6} +(-0.470129 - 0.542558i) q^{7} +(0.275041 - 2.81502i) q^{8} +(-1.96769 - 0.577767i) q^{9} +(0.354175 + 1.36915i) q^{10} +(0.0968928 - 0.150768i) q^{11} +(-0.927000 + 4.39815i) q^{12} +(-4.77506 - 4.13762i) q^{13} +(0.788470 - 0.639607i) q^{14} +(-0.319837 - 2.22451i) q^{15} +(3.96632 + 0.517984i) q^{16} +(0.839909 - 0.383573i) q^{17} +(0.906981 - 2.75475i) q^{18} +(-0.153192 - 0.0699606i) q^{19} +(-1.95150 + 0.437765i) q^{20} +(-1.35729 + 0.872280i) q^{21} +(0.208658 + 0.143876i) q^{22} +(-4.51547 + 1.61572i) q^{23} +(-6.17409 - 1.51218i) q^{24} +(0.841254 - 0.540641i) q^{25} +(6.06759 - 6.55946i) q^{26} +(0.886208 - 1.94052i) q^{27} +(0.867870 + 1.14384i) q^{28} +(-4.18618 + 1.91177i) q^{29} +(3.15896 - 0.349964i) q^{30} +(5.97499 - 0.859074i) q^{31} +(-0.914227 + 5.58249i) q^{32} +(-0.304396 - 0.263761i) q^{33} +(0.503613 + 1.20479i) q^{34} +(-0.603942 - 0.388130i) q^{35} +(3.85212 + 1.40844i) q^{36} +(-10.1890 - 2.99176i) q^{37} +(0.105919 - 0.213321i) q^{38} +(-10.7314 + 9.29884i) q^{39} +(-0.529184 - 2.77848i) q^{40} +(-3.27821 + 0.962568i) q^{41} +(-1.17063 - 1.95853i) q^{42} +(-0.788426 - 0.113359i) q^{43} +(-0.212942 + 0.288327i) q^{44} -2.05076 q^{45} +(-2.07648 - 6.45664i) q^{46} +0.573162i q^{47} +(2.42084 - 8.65747i) q^{48} +(0.922856 - 6.41861i) q^{49} +(0.725561 + 1.21390i) q^{50} +(-0.584631 - 1.99107i) q^{51} +(8.99306 + 8.87745i) q^{52} +(-2.71012 - 3.12764i) q^{53} +(2.70219 + 1.34171i) q^{54} +(0.0504917 - 0.171959i) q^{55} +(-1.65662 + 1.17420i) q^{56} +(-0.204625 + 0.318403i) q^{57} +(-2.51006 - 6.00480i) q^{58} +(5.33984 - 6.16250i) q^{59} +(0.349652 + 4.48116i) q^{60} +(-1.26232 - 8.77960i) q^{61} +(0.939994 + 8.48490i) q^{62} +(0.611598 + 1.33921i) q^{63} +(-7.84870 - 1.54849i) q^{64} +(-5.74734 - 2.62472i) q^{65} +(0.386791 - 0.418147i) q^{66} +(0.841448 + 1.30932i) q^{67} +(-1.72605 + 0.656536i) q^{68} +(2.14997 + 10.5615i) q^{69} +(0.576333 - 0.835836i) q^{70} +(5.17146 + 8.04695i) q^{71} +(-2.16762 + 5.38019i) q^{72} +(-0.463174 + 1.01421i) q^{73} +(4.69648 - 14.2645i) q^{74} +(-0.933600 - 2.04430i) q^{75} +(0.296660 + 0.159506i) q^{76} +(-0.127353 + 0.0183105i) q^{77} +(-12.6510 - 15.5954i) q^{78} +(3.93088 - 4.53647i) q^{79} +(3.95159 - 0.620439i) q^{80} +(-9.20892 - 5.91821i) q^{81} +(-1.21007 - 4.67783i) q^{82} +(2.87550 - 9.79305i) q^{83} +(2.82206 - 1.56475i) q^{84} +(0.697821 - 0.604666i) q^{85} +(0.196421 - 1.10921i) q^{86} +(2.91386 + 9.92368i) q^{87} +(-0.397766 - 0.314223i) q^{88} +(-7.00700 - 1.00745i) q^{89} +(0.0941395 - 2.89869i) q^{90} +4.53596i q^{91} +(9.22158 - 2.63865i) q^{92} -13.5662i q^{93} +(-0.810147 - 0.0263108i) q^{94} +(-0.166697 - 0.0239674i) q^{95} +(12.1259 + 3.81920i) q^{96} +(-5.05401 - 17.2124i) q^{97} +(9.03013 + 1.59907i) q^{98} +(-0.277764 + 0.240684i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q + 2 q^{2} - 4 q^{4} + 48 q^{5} + 5 q^{6} - q^{8} - 48 q^{9} - 2 q^{10} + 3 q^{12} - 56 q^{16} + 7 q^{18} + 4 q^{20} - 8 q^{21} - 4 q^{23} + 2 q^{24} - 48 q^{25} + 7 q^{26} + 12 q^{27} - 5 q^{30}+ \cdots - 98 q^{98}+O(q^{100}) \) 480 * q + 2 * q^2 - 4 * q^4 + 48 * q^5 + 5 * q^6 - q^8 - 48 * q^9 - 2 * q^10 + 3 * q^12 - 56 * q^16 + 7 * q^18 + 4 * q^20 - 8 * q^21 - 4 * q^23 + 2 * q^24 - 48 * q^25 + 7 * q^26 + 12 * q^27 - 5 * q^30 + 102 * q^32 + q^34 + 54 * q^36 - 8 * q^37 - 45 * q^38 + 45 * q^40 + 10 * q^42 + 23 * q^44 - 480 * q^45 + 32 * q^46 + 154 * q^48 - 48 * q^49 - 9 * q^50 - 7 * q^52 - 32 * q^53 - 27 * q^54 + 43 * q^56 - 40 * q^58 - 12 * q^59 + 8 * q^60 + 8 * q^61 + 158 * q^62 - 73 * q^64 - 88 * q^66 - 10 * q^68 + 20 * q^69 + 3 * q^72 - 11 * q^74 - 110 * q^76 - 300 * q^78 + 144 * q^79 + q^80 - 56 * q^81 - 59 * q^82 - 146 * q^84 + 18 * q^86 - 100 * q^88 - 7 * q^90 + 19 * q^92 - 316 * q^94 + 65 * q^96 - 98 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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