LMFDB - Embedded newform 507.2.s.a.5.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [507,2,Mod(5,507)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(507, base_ring=CyclotomicField(52))

chi = DirichletCharacter(H, H._module([26, 3]))

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

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

chi := DirichletCharacter("507.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 507 = 3 \cdot 13^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	507.s (of order $52$, degree $24$, 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:	$4.04841538248$
Analytic rank:	$0$
Dimension:	$1392$
Relative dimension:	$58$ over $\Q(\zeta_{52})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{52}]$

Embedding invariants

Embedding label			5.4
Character	$\chi$	$=$	507.5
Dual form			507.2.s.a.203.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.450509 + 2.45835i) q^{2} +(0.339251 - 1.69850i) q^{3} +(-3.97049 - 1.50581i) q^{4} +(-1.53833 - 0.0930519i) q^{5} +(4.02267 + 1.59919i) q^{6} +(0.917465 + 0.554627i) q^{7} +(2.90459 - 4.80477i) q^{8} +(-2.76982 - 1.15244i) q^{9} +(0.921786 - 3.73983i) q^{10} +(0.547234 + 2.98616i) q^{11} +(-3.90461 + 6.23303i) q^{12} +(1.50070 - 3.27840i) q^{13} +(-1.77679 + 2.00558i) q^{14} +(-0.679930 + 2.58129i) q^{15} +(4.14626 + 3.67326i) q^{16} +(4.61590 - 1.13772i) q^{17} +(4.08092 - 6.28999i) q^{18} +(5.73341 - 5.73341i) q^{19} +(5.96780 + 2.68589i) q^{20} +(1.25329 - 1.37016i) q^{21} -7.58755 q^{22} +9.23122 q^{23} +(-7.17553 - 6.56347i) q^{24} +(-2.60574 - 0.316394i) q^{25} +(7.38337 + 5.16619i) q^{26} +(-2.89708 + 4.31357i) q^{27} +(-2.80762 - 3.58366i) q^{28} +(-5.00710 + 3.45615i) q^{29} +(-6.03939 - 2.83440i) q^{30} +(5.16753 + 4.04850i) q^{31} +(-2.05883 + 1.61299i) q^{32} +(5.25765 + 0.0835810i) q^{33} +(0.717400 + 11.8600i) q^{34} +(-1.35976 - 0.938571i) q^{35} +(9.26217 + 8.74655i) q^{36} +(4.84905 - 6.18935i) q^{37} +(11.5118 + 16.6777i) q^{38} +(-5.05925 - 3.66114i) q^{39} +(-4.91531 + 7.12105i) q^{40} +(-0.126378 - 0.405560i) q^{41} +(2.80371 + 3.69828i) q^{42} +(-1.46047 - 0.177334i) q^{43} +(2.32379 - 12.6805i) q^{44} +(4.15366 + 2.03057i) q^{45} +(-4.15875 + 22.6936i) q^{46} +(0.617021 + 0.277699i) q^{47} +(7.64567 - 5.79627i) q^{48} +(-2.71893 - 5.18049i) q^{49} +(1.95172 - 6.26328i) q^{50} +(-0.366463 - 8.22608i) q^{51} +(-10.8951 + 10.7571i) q^{52} +(0.321882 + 1.30592i) q^{53} +(-9.29910 - 9.06534i) q^{54} +(-0.563959 - 4.64462i) q^{55} +(5.32971 - 2.79725i) q^{56} +(-7.79313 - 11.6833i) q^{57} +(-6.24068 - 13.8662i) q^{58} +(0.0886647 - 1.46580i) q^{59} +(6.58658 - 9.22513i) q^{60} +(-5.15359 - 1.27025i) q^{61} +(-12.2806 + 10.8797i) q^{62} +(-1.90204 - 2.59354i) q^{63} +(2.11076 + 4.02171i) q^{64} +(-2.61363 + 4.90362i) q^{65} +(-2.57409 + 12.8875i) q^{66} +(0.687943 + 0.309618i) q^{67} +(-20.0405 - 2.43336i) q^{68} +(3.13171 - 15.6793i) q^{69} +(2.91992 - 2.91992i) q^{70} +(-3.89967 - 12.5145i) q^{71} +(-13.5824 + 9.96098i) q^{72} +(4.33331 - 0.794109i) q^{73} +(13.0310 + 14.7090i) q^{74} +(-1.42140 + 4.31852i) q^{75} +(-31.3978 + 14.1310i) q^{76} +(-1.15414 + 3.04321i) q^{77} +(11.2796 - 10.7880i) q^{78} +(1.85067 + 4.87980i) q^{79} +(-6.03651 - 6.03651i) q^{80} +(6.34377 + 6.38409i) q^{81} +(1.05394 - 0.127972i) q^{82} +(-7.30503 - 2.27634i) q^{83} +(-7.03935 + 3.55299i) q^{84} +(-7.20664 + 1.32067i) q^{85} +(1.09390 - 3.51046i) q^{86} +(4.17161 + 9.67707i) q^{87} +(15.9373 + 6.04422i) q^{88} +(-7.38479 + 7.38479i) q^{89} +(-6.86310 + 9.29635i) q^{90} +(3.19513 - 2.17549i) q^{91} +(-36.6524 - 13.9004i) q^{92} +(8.62948 - 7.40360i) q^{93} +(-0.960653 + 1.39175i) q^{94} +(-9.35338 + 8.28637i) q^{95} +(2.04120 + 4.04413i) q^{96} +(13.1870 - 0.797666i) q^{97} +(13.9604 - 4.35022i) q^{98} +(1.92563 - 8.90177i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1392 q - 22 q^{3} - 52 q^{4} - 22 q^{6} - 56 q^{7} - 22 q^{9} - 52 q^{10} - 26 q^{12} - 44 q^{13} - 34 q^{15} + 48 q^{16} - 34 q^{18} - 56 q^{19} - 22 q^{21} - 96 q^{22} - 194 q^{24} - 52 q^{25} - 34 q^{27}+ \cdots - 58 q^{99}+O(q^{100}) $ 1392 * q - 22 * q^3 - 52 * q^4 - 22 * q^6 - 56 * q^7 - 22 * q^9 - 52 * q^10 - 26 * q^12 - 44 * q^13 - 34 * q^15 + 48 * q^16 - 34 * q^18 - 56 * q^19 - 22 * q^21 - 96 * q^22 - 194 * q^24 - 52 * q^25 - 34 * q^27 - 56 * q^28 + 78 * q^30 - 32 * q^31 - 10 * q^33 - 52 * q^34 - 26 * q^36 - 56 * q^37 + 70 * q^39 - 36 * q^40 - 10 * q^42 - 52 * q^43 - 140 * q^45 - 180 * q^46 - 2 * q^48 - 52 * q^49 - 26 * q^51 - 64 * q^52 - 22 * q^54 + 132 * q^55 - 22 * q^57 - 60 * q^58 - 18 * q^60 - 92 * q^61 + 108 * q^63 - 52 * q^64 - 124 * q^66 - 240 * q^67 - 104 * q^69 - 268 * q^70 - 2 * q^72 - 56 * q^73 + 104 * q^75 - 48 * q^76 - 22 * q^78 - 12 * q^79 + 2 * q^81 + 208 * q^82 - 22 * q^84 - 52 * q^85 - 26 * q^87 - 260 * q^88 - 26 * q^90 - 32 * q^91 - 176 * q^93 - 240 * q^94 + 292 * q^96 - 80 * q^97 - 58 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/507\mathbb{Z}\right)^\times$.

$n$	$170$	$340$
$\chi(n)$	$-1$	$e\left(\frac{3}{52}\right)$

Coefficient data

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

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

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

$2$	−0.450509	+	2.45835i	−0.318558	+	1.73831i	0.301235	+	0.953550i	$0.402601\pi$
$2$	−0.450509	+	2.45835i	−0.318558	+	1.73831i	−0.619793	+	0.784765i	$0.712784\pi$
$3$	0.339251	−	1.69850i	0.195867	−	0.980630i
$3$	0.339251	−	1.69850i	0.195867	−	0.980630i
$4$	−3.97049	−	1.50581i	−1.98524	−	0.752903i
$5$	−1.53833	−	0.0930519i	−0.687962	−	0.0416141i	−0.287301	−	0.957840i	$-0.592758\pi$
$5$	−1.53833	−	0.0930519i	−0.687962	−	0.0416141i	−0.400661	+	0.916226i	$0.631220\pi$
$6$	4.02267	+	1.59919i	1.64225	+	0.652866i
$7$	0.917465	+	0.554627i	0.346769	+	0.209629i	0.679993	−	0.733218i	$-0.261983\pi$
$7$	0.917465	+	0.554627i	0.346769	+	0.209629i	−0.333224	+	0.942848i	$0.608137\pi$
$8$	2.90459	−	4.80477i	1.02693	−	1.69874i
$9$	−2.76982	−	1.15244i	−0.923272	−	0.384146i
$10$	0.921786	−	3.73983i	0.291494	−	1.18264i
$11$	0.547234	+	2.98616i	0.164997	+	0.900361i	0.957053	+	0.289912i	$0.0936261\pi$
$11$	0.547234	+	2.98616i	0.164997	+	0.900361i	−0.792056	+	0.610448i	$0.790989\pi$
$12$	−3.90461	+	6.23303i	−1.12716	+	1.79932i
$13$	1.50070	−	3.27840i	0.416219	−	0.909264i
$13$	1.50070	−	3.27840i	0.416219	−	0.909264i
$14$	−1.77679	+	2.00558i	−0.474868	+	0.536015i
$15$	−0.679930	+	2.58129i	−0.175557	+	0.666486i
$16$	4.14626	+	3.67326i	1.03656	+	0.918316i
$17$	4.61590	−	1.13772i	1.11952	−	0.275937i	0.364217	−	0.931314i	$-0.381336\pi$
$17$	4.61590	−	1.13772i	1.11952	−	0.275937i	0.755302	+	0.655377i	$0.227490\pi$
$18$	4.08092	−	6.28999i	0.961883	−	1.48257i
$19$	5.73341	−	5.73341i	1.31533	−	1.31533i	0.397909	−	0.917425i	$-0.369736\pi$
$19$	5.73341	−	5.73341i	1.31533	−	1.31533i	0.917425	−	0.397909i	$-0.130264\pi$
$20$	5.96780	+	2.68589i	1.33444	+	0.600583i
$21$	1.25329	−	1.37016i	0.273489	−	0.298993i
$22$	−7.58755			−1.61767
$23$	9.23122			1.92484			0.962422	−	0.271559i	$-0.0875394\pi$
$23$	9.23122			1.92484			0.962422	+	0.271559i	$0.0875394\pi$
$24$	−7.17553	−	6.56347i	−1.46470	−	1.33976i
$25$	−2.60574	−	0.316394i	−0.521148	−	0.0632789i
$26$	7.38337	+	5.16619i	1.44800	+	1.01317i
$27$	−2.89708	+	4.31357i	−0.557544	+	0.830147i
$28$	−2.80762	−	3.58366i	−0.530590	−	0.677249i
$29$	−5.00710	+	3.45615i	−0.929794	+	0.641791i	−0.933644	−	0.358202i	$-0.883390\pi$
$29$	−5.00710	+	3.45615i	−0.929794	+	0.641791i	0.00384972	+	0.999993i	$0.498775\pi$
$30$	−6.03939	−	2.83440i	−1.10264	−	0.517488i
$31$	5.16753	+	4.04850i	0.928116	+	0.727132i	0.962216	−	0.272286i	$-0.0877797\pi$
$31$	5.16753	+	4.04850i	0.928116	+	0.727132i	−0.0341004	+	0.999418i	$0.510857\pi$
$32$	−2.05883	+	1.61299i	−0.363953	+	0.285139i
$33$	5.25765	+	0.0835810i	0.915239	+	0.0145496i
$34$	0.717400	+	11.8600i	0.123033	+	2.03398i
$35$	−1.35976	−	0.938571i	−0.229841	−	0.158647i
$36$	9.26217	+	8.74655i	1.54369	+	1.45776i
$37$	4.84905	−	6.18935i	0.797178	−	1.01752i	−0.202094	−	0.979366i	$-0.564775\pi$
$37$	4.84905	−	6.18935i	0.797178	−	1.01752i	0.999272	−	0.0381565i	$-0.0121485\pi$
$38$	11.5118	+	16.6777i	1.86745	+	2.70547i
$39$	−5.05925	−	3.66114i	−0.810129	−	0.586252i
$40$	−4.91531	+	7.12105i	−0.777178	+	1.12594i
$41$	−0.126378	−	0.405560i	−0.0197369	−	0.0633379i	0.944327	−	0.329008i	$-0.106714\pi$
$41$	−0.126378	−	0.405560i	−0.0197369	−	0.0633379i	−0.964064	+	0.265670i	$0.914407\pi$
$42$	2.80371	+	3.69828i	0.432622	+	0.570657i
$43$	−1.46047	−	0.177334i	−0.222720	−	0.0270431i	0.00841577	−	0.999965i	$-0.497321\pi$
$43$	−1.46047	−	0.177334i	−0.222720	−	0.0270431i	−0.231136	+	0.972921i	$0.574244\pi$
$44$	2.32379	−	12.6805i	0.350325	−	1.91166i
$45$	4.15366	+	2.03057i	0.619191	+	0.302699i
$46$	−4.15875	+	22.6936i	−0.613174	+	3.34598i
$47$	0.617021	+	0.277699i	0.0900017	+	0.0405065i	0.454914	−	0.890536i	$-0.349670\pi$
$47$	0.617021	+	0.277699i	0.0900017	+	0.0405065i	−0.364912	+	0.931042i	$0.618901\pi$
$48$	7.64567	−	5.79627i	1.10356	−	0.836619i
$49$	−2.71893	−	5.18049i	−0.388419	−	0.740070i
$50$	1.95172	−	6.26328i	0.276015	−	0.885762i
$51$	−0.366463	−	8.22608i	−0.0513151	−	1.15188i
$52$	−10.8951	+	10.7571i	−1.51088	+	1.49174i
$53$	0.321882	+	1.30592i	0.0442138	+	0.179383i	0.988897	−	0.148601i	$-0.0474770\pi$
$53$	0.321882	+	1.30592i	0.0442138	+	0.179383i	−0.944683	+	0.327984i	$0.893631\pi$
$54$	−9.29910	−	9.06534i	−1.26545	−	1.23364i
$55$	−0.563959	−	4.64462i	−0.0760442	−	0.626281i
$56$	5.32971	−	2.79725i	0.712213	−	0.373798i
$57$	−7.79313	−	11.6833i	−1.03223	−	1.54749i
$58$	−6.24068	−	13.8662i	−0.819441	−	1.82072i
$59$	0.0886647	−	1.46580i	0.0115432	−	0.190831i	−0.987833	−	0.155518i	$-0.950295\pi$
$59$	0.0886647	−	1.46580i	0.0115432	−	0.190831i	0.999376	−	0.0353136i	$-0.0112430\pi$
$60$	6.58658	−	9.22513i	0.850323	−	1.19096i
$61$	−5.15359	−	1.27025i	−0.659850	−	0.162638i	−0.104849	−	0.994488i	$-0.533436\pi$
$61$	−5.15359	−	1.27025i	−0.659850	−	0.162638i	−0.555001	+	0.831850i	$0.687282\pi$
$62$	−12.2806	+	10.8797i	−1.55964	+	1.38172i
$63$	−1.90204	−	2.59354i	−0.239634	−	0.326755i
$64$	2.11076	+	4.02171i	0.263845	+	0.502714i
$65$	−2.61363	+	4.90362i	−0.324181	+	0.608219i
$66$	−2.57409	+	12.8875i	−0.316848	+	1.58634i
$67$	0.687943	+	0.309618i	0.0840457	+	0.0378259i	0.452000	−	0.892018i	$-0.350711\pi$
$67$	0.687943	+	0.309618i	0.0840457	+	0.0378259i	−0.367954	+	0.929844i	$0.619942\pi$
$68$	−20.0405	−	2.43336i	−2.43027	−	0.295088i
$69$	3.13171	−	15.6793i	0.377013	−	1.88756i
$70$	2.91992	−	2.91992i	0.348997	−	0.348997i
$71$	−3.89967	−	12.5145i	−0.462805	−	1.48519i	−0.831437	−	0.555619i	$-0.812481\pi$
$71$	−3.89967	−	12.5145i	−0.462805	−	1.48519i	0.368632	−	0.929575i	$-0.379826\pi$
$72$	−13.5824	+	9.96098i	−1.60070	+	1.17391i
$73$	4.33331	−	0.794109i	0.507176	−	0.0929435i	0.0794265	−	0.996841i	$-0.474691\pi$
$73$	4.33331	−	0.794109i	0.507176	−	0.0929435i	0.427750	+	0.903897i	$0.359306\pi$
$74$	13.0310	+	14.7090i	1.51483	+	1.70989i
$75$	−1.42140	+	4.31852i	−0.164129	+	0.498660i
$76$	−31.3978	+	14.1310i	−3.60158	+	1.62094i
$77$	−1.15414	+	3.04321i	−0.131526	+	0.346805i
$78$	11.2796	−	10.7880i	1.27716	−	1.22150i
$79$	1.85067	+	4.87980i	0.208216	+	0.549021i	0.997920	−	0.0644677i	$-0.0205349\pi$
$79$	1.85067	+	4.87980i	0.208216	+	0.549021i	−0.789704	+	0.613488i	$0.789766\pi$
$80$	−6.03651	−	6.03651i	−0.674903	−	0.674903i
$81$	6.34377	+	6.38409i	0.704863	+	0.709343i
$82$	1.05394	−	0.127972i	0.116389	−	0.0141321i
$83$	−7.30503	−	2.27634i	−0.801831	−	0.249861i	−0.130914	−	0.991394i	$-0.541791\pi$
$83$	−7.30503	−	2.27634i	−0.801831	−	0.249861i	−0.670916	+	0.741533i	$0.734099\pi$
$84$	−7.03935	+	3.55299i	−0.768056	+	0.387663i
$85$	−7.20664	+	1.32067i	−0.781670	+	0.143246i
$86$	1.09390	−	3.51046i	0.117959	−	0.378543i
$87$	4.17161	+	9.67707i	0.447244	+	1.03749i
$88$	15.9373	+	6.04422i	1.69892	+	0.644316i
$89$	−7.38479	+	7.38479i	−0.782786	+	0.782786i	−0.980300	−	0.197514i	$-0.936713\pi$
$89$	−7.38479	+	7.38479i	−0.782786	+	0.782786i	0.197514	+	0.980300i	$0.436713\pi$
$90$	−6.86310	+	9.29635i	−0.723435	+	0.979921i
$91$	3.19513	−	2.17549i	0.334940	−	0.228053i
$92$	−36.6524	−	13.9004i	−3.82128	−	1.44922i
$93$	8.62948	−	7.40360i	0.894835	−	0.767718i
$94$	−0.960653	+	1.39175i	−0.0990838	+	0.143548i
$95$	−9.35338	+	8.28637i	−0.959636	+	0.850164i
$96$	2.04120	+	4.04413i	0.208329	+	0.412752i
$97$	13.1870	−	0.797666i	1.33894	−	0.0809907i	0.624683	−	0.780878i	$-0.285228\pi$
$97$	13.1870	−	0.797666i	1.33894	−	0.0809907i	0.714253	+	0.699888i	$0.246767\pi$
$98$	13.9604	−	4.35022i	1.41021	−	0.439439i
$99$	1.92563	−	8.90177i	0.193533	−	0.894661i
$100$	9.86963	+	5.17998i	0.986963	+	0.517998i
$101$	−0.843242	+	6.94472i	−0.0839057	+	0.691026i	0.888688	+	0.458513i	$0.151618\pi$
$101$	−0.843242	+	6.94472i	−0.0839057	+	0.691026i	−0.972593	+	0.232513i	$0.925305\pi$
$102$	20.3877	+	2.80503i	2.01868	+	0.277739i
$103$	−1.29559	+	2.46854i	−0.127658	+	0.243232i	−0.940893	−	0.338703i	$-0.890012\pi$
$103$	−1.29559	+	2.46854i	−0.127658	+	0.243232i	0.813235	+	0.581935i	$0.197704\pi$
$104$	−11.3931	−	16.7329i	−1.11718	−	1.64080i
$105$	−2.05546	+	1.99114i	−0.200593	+	0.194315i
$106$	−3.35543	+	0.202966i	−0.325908	+	0.0197138i
$107$	−8.60950	−	9.71811i	−0.832311	−	0.939485i	0.166605	−	0.986024i	$-0.446719\pi$
$107$	−8.60950	−	9.71811i	−0.832311	−	0.939485i	−0.998917	+	0.0465384i	$0.985181\pi$
$108$	17.9982	−	12.7645i	1.73188	−	1.22827i
$109$	1.34433	+	1.71591i	0.128764	+	0.164355i	0.847264	−	0.531172i	$-0.178248\pi$
$109$	1.34433	+	1.71591i	0.128764	+	0.164355i	−0.718500	+	0.695527i	$0.755171\pi$
$110$	11.6722	+	0.706036i	1.11290	+	0.0673179i
$111$	−8.86757	−	10.3359i	−0.841673	−	0.981036i
$112$	1.76676	+	5.66972i	0.166943	+	0.535738i
$113$	1.21401	+	2.31310i	0.114204	+	0.217598i	0.935848	−	0.352403i	$-0.114635\pi$
$113$	1.21401	+	2.31310i	0.114204	+	0.217598i	−0.821644	+	0.570001i	$0.806943\pi$
$114$	32.2324	−	13.8948i	3.01884	−	1.30137i
$115$	−14.2007	−	0.858983i	−1.32422	−	0.0801005i
$116$	25.0849	−	6.18287i	2.32907	−	0.574065i
$117$	−7.93482	+	7.35110i	−0.733574	+	0.679610i
$118$	3.56351	+	0.878326i	0.328047	+	0.0808564i
$119$	4.86593	+	1.51629i	0.446059	+	0.138998i
$120$	10.4276	+	10.7645i	0.951905	+	0.982659i
$121$	1.66750	−	0.632400i	0.151591	−	0.0574909i
$122$	5.44445	−	12.0971i	0.492917	−	1.09522i
$123$	−0.731719	+	0.0770658i	−0.0659769	+	0.00694879i
$124$	−14.4213	−	23.8558i	−1.29508	−	2.14232i
$125$	11.5585	+	2.11818i	1.03383	+	0.189456i
$126$	7.23270	−	3.50746i	0.644340	−	0.312469i
$127$	−17.2574	+	6.54486i	−1.53134	+	0.580762i	−0.969200	−	0.246277i	$-0.920793\pi$
$127$	−17.2574	+	6.54486i	−1.53134	+	0.580762i	−0.562144	+	0.827039i	$0.690024\pi$
$128$	−15.8317	+	4.93336i	−1.39934	+	0.436051i
$129$	−0.796669	+	2.42046i	−0.0701428	+	0.213109i
$130$	−10.8773	−	8.63435i	−0.954006	−	0.757282i
$131$	9.34821	−	6.45261i	0.816757	−	0.563767i	−0.0848143	−	0.996397i	$-0.527030\pi$
$131$	9.34821	−	6.45261i	0.816757	−	0.563767i	0.901572	+	0.432630i	$0.142414\pi$
$132$	−20.7496	−	8.24886i	−1.80602	−	0.717971i
$133$	8.44010	−	2.08030i	0.731849	−	0.180385i
$134$	−1.07107	+	1.55172i	−0.0925267	+	0.134048i
$135$	4.85806	−	6.36612i	0.418115	−	0.547909i
$136$	7.94080	−	25.4829i	0.680918	−	2.18514i
$137$	2.94225	+	3.75550i	0.251373	+	0.320854i	0.896349	−	0.443349i	$-0.146210\pi$
$137$	2.94225	+	3.75550i	0.251373	+	0.320854i	−0.644976	+	0.764203i	$0.723133\pi$
$138$	37.1342	+	14.7625i	3.16107	+	1.25666i
$139$	11.0870	+	9.82223i	0.940388	+	0.833111i	0.986152	−	0.165841i	$-0.0530339\pi$
$139$	11.0870	+	9.82223i	0.940388	+	0.833111i	−0.0457646	+	0.998952i	$0.514572\pi$
$140$	3.98558	+	5.77411i	0.336843	+	0.488002i
$141$	0.680997	−	0.953801i	0.0573503	−	0.0803246i
$142$	32.5218	−	3.94886i	2.72917	−	0.331381i
$143$	10.6111	+	2.68728i	0.887341	+	0.224721i
$144$	−7.25116	−	14.9526i	−0.604264	−	1.24605i
$145$	8.02417	−	4.85078i	0.666371	−	0.402835i
$146$			11.0106i			0.911240i
$147$	−9.72148	+	2.86062i	−0.801814	+	0.235940i
$148$	−28.5730	+	17.2730i	−2.34869	+	1.41983i
$149$	1.76057	−	3.91183i	0.144232	−	0.320470i	−0.825596	−	0.564262i	$-0.809161\pi$
$149$	1.76057	−	3.91183i	0.144232	−	0.320470i	0.969827	+	0.243792i	$0.0783916\pi$
$150$	−9.97607	−	5.43982i	−0.814543	−	0.444160i
$151$	21.1021	−	9.49730i	1.71727	−	0.772879i	0.720419	−	0.693539i	$-0.243950\pi$
$151$	21.1021	−	9.49730i	1.71727	−	0.772879i	0.996848	−	0.0793398i	$-0.0252812\pi$
$152$	−10.8945	−	44.2009i	−0.883664	−	3.58517i
$153$	−14.0963	−	2.16827i	−1.13962	−	0.175294i
$154$	−6.96131	−	4.20826i	−0.560958	−	0.339111i
$155$	−7.57265	−	6.70878i	−0.608250	−	0.538862i
$156$	14.5747	+	22.1548i	1.16691	+	1.77380i
$157$	−0.805557	+	0.713661i	−0.0642904	+	0.0569564i	−0.694656	−	0.719342i	$-0.744443\pi$
$157$	−0.805557	+	0.713661i	−0.0642904	+	0.0569564i	0.630366	+	0.776298i	$0.282905\pi$
$158$	−12.8300	+	2.35118i	−1.02070	+	0.187050i
$159$	2.32731	−	0.103679i	0.184568	−	0.00822232i
$160$	3.31725	−	2.28973i	0.262252	−	0.181019i
$161$	8.46932	+	5.11988i	0.667476	+	0.403503i
$162$	−18.5522	+	12.7191i	−1.45760	+	0.999308i
$163$	−10.6491	+	13.5926i	−0.834106	+	1.06466i	0.162847	+	0.986651i	$0.447932\pi$
$163$	−10.6491	+	13.5926i	−0.834106	+	1.06466i	−0.996953	+	0.0780058i	$0.975145\pi$
$164$	−0.108915	+	1.80057i	−0.00850480	+	0.140601i
$165$	−8.08022	−	0.617809i	−0.629044	−	0.0480964i
$166$	8.88701	−	16.9328i	0.689766	−	1.31424i
$167$	0.0149088	+	0.00273214i	0.00115368	+	0.000211420i	0.180832	−	0.983514i	$-0.442121\pi$
$167$	0.0149088	+	0.00273214i	0.00115368	+	0.000211420i	−0.179678	+	0.983725i	$0.557506\pi$
$168$	−2.94302	−	10.0015i	−0.227059	−	0.771632i
$169$	−8.49580	−	9.83978i	−0.653523	−	0.756907i
$170$		−	18.3114i		−	1.40442i
$171$	−22.4879	+	9.27309i	−1.71969	+	0.709131i
$172$	5.53176	+	2.90329i	0.421793	+	0.221374i
$173$	5.70150	−	15.0336i	0.433477	−	1.14299i	−0.523296	−	0.852151i	$-0.675298\pi$
$173$	5.70150	−	15.0336i	0.433477	−	1.14299i	0.956773	−	0.290835i	$-0.0939329\pi$
$174$	−25.6689	+	5.89567i	−1.94596	+	0.446949i
$175$	−2.21520	−	1.73549i	−0.167453	−	0.131191i
$176$	−8.69998	+	14.3915i	−0.655785	+	1.08480i
$177$	−2.45959	−	0.647873i	−0.184874	−	0.0486971i
$178$	−14.8275	−	21.4813i	−1.11137	−	1.61009i
$179$	−23.6710	−	5.83438i	−1.76925	−	0.436082i	−0.785985	−	0.618246i	$-0.787844\pi$
$179$	−23.6710	−	5.83438i	−1.76925	−	0.436082i	−0.983268	+	0.182164i	$0.941690\pi$
$180$	−13.4344	−	14.3169i	−1.00134	−	1.06712i
$181$	6.01070	+	6.78467i	0.446772	+	0.504301i	0.928147	−	0.372214i	$-0.121401\pi$
$181$	6.01070	+	6.78467i	0.446772	+	0.504301i	−0.481376	+	0.876514i	$0.659863\pi$
$182$	3.90867	+	8.83481i	0.289730	+	0.654880i
$183$	−3.90588	+	8.32245i	−0.288731	+	0.615213i
$184$	26.8129	−	44.3539i	1.97667	−	3.26982i
$185$	−8.03537	+	9.07005i	−0.590772	+	0.666844i
$186$	14.3130	+	24.5497i	1.04948	+	1.80007i
$187$	5.92338	+	13.1612i	0.433160	+	0.962442i
$188$	−2.03171	−	2.03171i	−0.148178	−	0.148178i
$189$	−5.05039	+	2.35075i	−0.367362	+	0.170992i
$190$	−16.1570	−	26.7270i	−1.17215	−	1.93898i
$191$		−	1.02068i		−	0.0738541i	−0.999318	−	0.0369270i	$-0.988243\pi$
$191$		−	1.02068i		−	0.0738541i	0.999318	−	0.0369270i	$-0.0117569\pi$
$192$	7.54696	−	2.22075i	0.544655	−	0.160269i
$193$	9.68026	+	16.0131i	0.696800	+	1.15265i	0.981023	+	0.193890i	$0.0621105\pi$
$193$	9.68026	+	16.0131i	0.696800	+	1.15265i	−0.284223	+	0.958758i	$0.591736\pi$
$194$	−3.97992	+	32.7776i	−0.285742	+	2.35329i
$195$	7.44213	+	6.10282i	0.532942	+	0.437032i
$196$	2.99466	+	24.6633i	0.213904	+	1.76166i
$197$	0.283390	−	0.222022i	0.0201907	−	0.0158184i	−0.606573	−	0.795028i	$-0.707456\pi$
$197$	0.283390	−	0.222022i	0.0201907	−	0.0158184i	0.626764	+	0.779210i	$0.284379\pi$
$198$	21.0161	+	8.74419i	1.49355	+	0.621422i
$199$	−2.88969	+	3.26178i	−0.204844	+	0.231222i	−0.841951	−	0.539554i	$-0.818593\pi$
$199$	−2.88969	+	3.26178i	−0.204844	+	0.231222i	0.637106	+	0.770776i	$0.280131\pi$
$200$	−9.08880	+	11.6010i	−0.642676	+	0.820315i
$201$	0.759273	−	1.06343i	0.0535550	−	0.0750089i
$202$	−16.6927	−	5.20164i	−1.17449	−	0.365986i
$203$	−6.51071	+	0.393825i	−0.456962	+	0.0276411i
$204$	−10.9318	+	33.2134i	−0.765382	+	2.32540i
$205$	0.156673	+	0.635646i	0.0109425	+	0.0443954i
$206$	−5.48485	−	4.29711i	−0.382148	−	0.299394i
$207$	−25.5688	−	10.6384i	−1.77715	−	0.739421i
$208$	18.2647	−	8.08062i	1.26643	−	0.560290i
$209$	20.2584	+	13.9833i	1.40130	+	0.967248i
$210$	−3.96890	−	5.95007i	−0.273880	−	0.410594i
$211$	−0.328031	−	0.864947i	−0.0225826	−	0.0595454i	0.923251	−	0.384198i	$-0.125522\pi$
$211$	−0.328031	−	0.864947i	−0.0225826	−	0.0595454i	−0.945833	+	0.324652i	$0.894753\pi$
$212$	0.688444	−	5.66985i	0.0472825	−	0.389407i
$213$	−22.5788	+	2.37804i	−1.54707	+	0.162940i
$214$	27.7692	−	16.7870i	1.89826	−	1.14754i
$215$	2.23019	+	0.408698i	0.152098	+	0.0278729i
$216$	12.3109	+	26.4490i	0.837651	+	1.79962i
$217$	2.49562	+	6.58041i	0.169414	+	0.446707i
$218$	−4.82395	+	2.53180i	−0.326719	+	0.171475i
$219$	0.121287	−	7.62955i	0.00819583	−	0.515557i
$220$	−4.75471	+	19.2906i	−0.320562	+	1.30057i
$221$	3.19719	−	16.8401i	0.215066	−	1.13279i
$222$	29.4041	−	17.1432i	1.97347	−	1.15058i
$223$	0.780663	−	12.9059i	0.0522770	−	0.864242i	−0.873654	−	0.486549i	$-0.838256\pi$
$223$	0.780663	−	12.9059i	0.0522770	−	0.864242i	0.925931	−	0.377694i	$-0.123283\pi$
$224$	−2.78351	+	0.337979i	−0.185981	+	0.0225822i
$225$	6.85280	+	3.87931i	0.456853	+	0.258621i
$226$	−6.23332	+	1.94238i	−0.414634	+	0.129205i
$227$	−9.65722	+	4.34636i	−0.640972	+	0.288478i	−0.704718	−	0.709488i	$-0.748926\pi$
$227$	−9.65722	+	4.34636i	−0.640972	+	0.288478i	0.0637452	+	0.997966i	$0.479695\pi$
$228$	13.3498	+	58.1232i	0.884111	+	3.84930i
$229$	−14.3483	+	11.2412i	−0.948163	+	0.742839i	−0.966413	−	0.256995i	$-0.917268\pi$
$229$	−14.3483	+	11.2412i	−0.948163	+	0.742839i	0.0182494	+	0.999833i	$0.494191\pi$
$230$	8.50921	−	34.5232i	0.561081	−	2.27639i
$231$	4.77735	+	2.99271i	0.314326	+	0.196906i
$232$	2.06247	+	34.0966i	0.135408	+	2.23855i
$233$	6.88483	−	3.61344i	0.451040	−	0.236724i	−0.223877	−	0.974617i	$-0.571872\pi$
$233$	6.88483	−	3.61344i	0.451040	−	0.236724i	0.674917	+	0.737893i	$0.264179\pi$
$234$	−14.4969	−	22.8183i	−0.947689	−	1.49168i
$235$	−0.923342	−	0.484607i	−0.0602322	−	0.0316123i
$236$	−2.55926	+	5.68643i	−0.166593	+	0.370155i
$237$	8.91620	−	1.48788i	0.579169	−	0.0966480i
$238$	−5.91970	+	11.2791i	−0.383717	+	0.731112i
$239$	10.2197	+	10.2197i	0.661057	+	0.661057i	0.955629	−	0.294573i	$-0.0951773\pi$
$239$	10.2197	+	10.2197i	0.661057	+	0.661057i	−0.294573	+	0.955629i	$0.595177\pi$
$240$	−12.3009	+	8.20513i	−0.794021	+	0.529639i
$241$	0.499785	+	8.26243i	0.0321940	+	0.532230i	0.978145	+	0.207922i	$0.0666700\pi$
$241$	0.499785	+	8.26243i	0.0321940	+	0.532230i	−0.945951	+	0.324308i	$0.894868\pi$
$242$	0.803435	+	4.38420i	0.0516467	+	0.281827i
$243$	12.9955	−	8.60910i	0.833663	−	0.552274i
$244$	18.5495	+	12.8038i	1.18751	+	0.819680i
$245$	3.70056	+	8.22231i	0.236420	+	0.525304i
$246$	0.140191	−	1.83354i	0.00893827	−	0.116902i
$247$	−10.1923	−	27.4005i	−0.648519	−	1.74345i
$248$	34.4617	−	13.0696i	2.18832	−	0.829920i
$249$	−6.34461	+	11.6353i	−0.402073	+	0.737360i
$250$	−10.4145	+	27.4607i	−0.658668	+	1.73677i
$251$	0.864630	+	7.12087i	0.0545750	+	0.449465i	0.994224	+	0.107325i	$0.0342286\pi$
$251$	0.864630	+	7.12087i	0.0545750	+	0.449465i	−0.939649	+	0.342140i	$0.888848\pi$
$252$	3.64664	+	13.1617i	0.229717	+	0.829109i
$253$	5.05164	+	27.5659i	0.317594	+	1.73305i
$254$	−8.31494	−	45.3731i	−0.521726	−	2.84696i
$255$	−0.201710	+	12.6885i	−0.0126316	+	0.794587i
$256$	−3.90064	−	32.1247i	−0.243790	−	2.00779i
$257$	−5.08664	+	13.4124i	−0.317296	+	0.836640i	0.677572	+	0.735456i	$0.263032\pi$
$257$	−5.08664	+	13.4124i	−0.317296	+	0.836640i	−0.994868	+	0.101184i	$0.967737\pi$
$258$	−5.59142	−	3.04893i	−0.348107	−	0.189818i
$259$	7.88161	−	2.98910i	0.489739	−	0.185734i
$260$	17.7613	−	15.5341i	1.10151	−	0.963386i
$261$	17.8517	−	3.80253i	1.10499	−	0.235371i
$262$	11.6513	+	25.8881i	0.719820	+	1.59937i
$263$	0.276544	+	0.190884i	0.0170524	+	0.0117704i	0.576560	−	0.817054i	$-0.304395\pi$
$263$	0.276544	+	0.190884i	0.0170524	+	0.0117704i	−0.559508	+	0.828825i	$0.689010\pi$
$264$	15.6729	−	25.0190i	0.964599	−	1.53981i
$265$	−0.373642	−	2.03890i	−0.0229526	−	0.125248i
$266$	1.31176	+	21.6859i	0.0804289	+	1.32965i
$267$	10.0378	+	15.0484i	0.614302	+	0.920946i
$268$	−2.26524	−	2.26524i	−0.138372	−	0.138372i
$269$	0.138471	−	0.263834i	0.00844271	−	0.0160862i	−0.881198	−	0.472747i	$-0.843262\pi$
$269$	0.138471	−	0.263834i	0.00844271	−	0.0160862i	0.889641	+	0.456661i	$0.150955\pi$
$270$	13.4615	+	14.8108i	0.819244	+	0.901356i
$271$	1.40629	−	3.12464i	0.0854258	−	0.189808i	−0.864235	−	0.503088i	$-0.832197\pi$
$271$	1.40629	−	3.12464i	0.0854258	−	0.189808i	0.949661	+	0.313280i	$0.101428\pi$
$272$	23.3178	+	12.2381i	1.41385	+	0.742046i
$273$	−2.61112	−	6.16497i	−0.158032	−	0.373121i
$274$	−10.5578	+	5.54118i	−0.637823	+	0.334755i
$275$	−0.481146	−	7.95430i	−0.0290142	−	0.479662i
$276$	−36.0443	+	57.5385i	−2.16961	+	3.46341i
$277$	3.75068	−	15.2171i	0.225357	−	0.914307i	−0.743907	−	0.668283i	$-0.767030\pi$
$277$	3.75068	−	15.2171i	0.225357	−	0.914307i	0.969264	−	0.246024i	$-0.0791243\pi$
$278$	−29.1413	+	22.8307i	−1.74778	+	1.36930i
$279$	−9.64746	−	17.1689i	−0.577579	−	1.02787i
$280$	−8.45915	+	3.80715i	−0.505531	+	0.227521i
$281$	−15.3603	+	4.78646i	−0.916318	+	0.285536i	−0.719167	−	0.694837i	$-0.755477\pi$
$281$	−15.3603	+	4.78646i	−0.916318	+	0.285536i	−0.197151	+	0.980373i	$0.563169\pi$
$282$	2.03798	+	2.10382i	0.121360	+	0.125281i
$283$	−19.9486	+	2.42220i	−1.18582	+	0.143985i	−0.689586	−	0.724204i	$-0.742208\pi$
$283$	−19.9486	+	2.42220i	−1.18582	+	0.143985i	−0.496235	+	0.868188i	$0.665284\pi$
$284$	−3.36080	+	55.5607i	−0.199427	+	3.29692i
$285$	10.9013	+	18.6979i	0.645735	+	1.10757i
$286$	−11.3866	+	24.8750i	−0.673306	+	1.47089i
$287$	0.108988	−	0.442180i	0.00643333	−	0.0261011i
$288$	7.56144	−	2.09501i	0.445562	−	0.123450i
$289$	4.95934	−	2.60286i	0.291726	−	0.153110i
$290$	8.30995	+	21.9115i	0.487977	+	1.28669i
$291$	3.11887	−	22.6687i	0.182831	−	1.32887i
$292$	−18.4011	−	3.37213i	−1.07685	−	0.197339i
$293$	−22.7507	+	13.7533i	−1.32911	+	0.803475i	−0.990508	−	0.137454i	$-0.956108\pi$
$293$	−22.7507	+	13.7533i	−1.32911	+	0.803475i	−0.338602	+	0.940930i	$0.609954\pi$
$294$	−2.65279	−	25.1875i	−0.154714	−	1.46897i
$295$	−0.272791	+	2.24664i	−0.0158825	+	0.130804i
$296$	−15.6539	−	41.2761i	−0.909867	−	2.39912i
$297$	−14.4664	−	6.29062i	−0.839425	−	0.365019i
$298$	8.82349	+	6.09041i	0.511131	+	0.352808i
$299$	13.8533	−	30.2636i	0.801157	−	1.75019i
$300$	12.1465	−	15.0063i	0.701278	−	0.866387i
$301$	−1.24158	−	0.972715i	−0.0715634	−	0.0560664i
$302$	13.8410	+	56.1550i	0.796458	+	3.23136i
$303$	11.5096	+	3.78826i	0.661207	+	0.217630i
$304$	44.8325	−	2.71187i	2.57132	−	0.155536i
$305$	7.80973	+	2.43361i	0.447184	+	0.139348i
$306$	11.6809	−	33.6769i	0.667752	−	1.92518i
$307$	−9.32020	+	11.8964i	−0.531932	+	0.678961i	−0.976185	−	0.216940i	$-0.930392\pi$
$307$	−9.32020	+	11.8964i	−0.531932	+	0.678961i	0.444253	+	0.895901i	$0.353469\pi$
$308$	9.16496	−	10.3451i	0.522222	−	0.589467i
$309$	3.75328	+	3.03801i	0.213517	+	0.172827i
$310$	19.9041	−	15.5938i	1.13048	−	0.885671i
$311$	−2.61632	−	21.5473i	−0.148358	−	1.22184i	−0.856643	−	0.515909i	$-0.827454\pi$
$311$	−2.61632	−	21.5473i	−0.148358	−	1.22184i	0.708286	−	0.705926i	$-0.249469\pi$
$312$	−32.2860	+	13.6745i	−1.82783	+	0.774163i
$313$	−3.05378	+	25.1501i	−0.172610	+	1.42157i	0.606701	+	0.794930i	$0.292493\pi$
$313$	−3.05378	+	25.1501i	−0.172610	+	1.42157i	−0.779311	+	0.626638i	$0.784431\pi$
$314$	−1.39152	−	2.30185i	−0.0785278	−	0.129901i
$315$	2.68463	+	4.16670i	0.151262	+	0.234767i
$316$		−	22.1619i		−	1.24671i
$317$	5.80979	+	9.61057i	0.326310	+	0.539783i	0.975264	−	0.221045i	$-0.0709468\pi$
$317$	5.80979	+	9.61057i	0.326310	+	0.539783i	−0.648953	+	0.760828i	$0.724793\pi$
$318$	−0.793596	+	5.76806i	−0.0445027	+	0.323457i
$319$	−13.0607	−	13.0607i	−0.731257	−	0.731257i
$320$	−2.87281	−	6.38313i	−0.160595	−	0.356828i
$321$	−19.4270	+	11.3264i	−1.08431	+	0.632176i
$322$	−16.4020	+	18.5140i	−0.914046	+	1.03174i
$323$	19.9418	−	32.9878i	1.10959	−	1.83549i
$324$	−15.5747	−	34.9004i	−0.865258	−	1.93891i
$325$	−4.94770	+	8.06785i	−0.274449	+	0.447524i
$326$	−28.6179	−	32.3029i	−1.58500	−	1.78909i
$327$	3.37055	−	1.70123i	0.186392	−	0.0940780i
$328$	−2.31570	−	0.570769i	−0.127863	−	0.0315154i
$329$	0.412076	+	0.596995i	0.0227185	+	0.0329134i
$330$	5.15900	−	19.5857i	0.283994	−	1.07816i
$331$	11.4779	−	18.9867i	0.630880	−	1.04360i	−0.362856	−	0.931845i	$-0.618198\pi$
$331$	11.4779	−	18.9867i	0.630880	−	1.04360i	0.993736	−	0.111757i	$-0.0356480\pi$
$332$	25.5768	+	20.0381i	1.40371	+	1.09974i
$333$	−20.5638	+	11.5551i	−1.12689	+	0.633218i
$334$	−0.0134331	+	0.0354202i	−0.000735027	+	0.00193811i
$335$	−1.02947	−	0.540310i	−0.0562462	−	0.0295203i
$336$	10.2294	−	1.07738i	0.558059	−	0.0587757i
$337$		−	4.13389i		−	0.225187i	−0.993641	−	0.112594i	$-0.964084\pi$
$337$		−	4.13389i		−	0.225187i	0.993641	−	0.112594i	$-0.0359159\pi$
$338$	28.0171	−	16.4527i	1.52393	−	0.894910i
$339$	4.34065	−	1.27727i	0.235752	−	0.0693718i
$340$	30.6025	+	5.60812i	1.65966	+	0.304143i
$341$	−9.26162	+	17.6465i	−0.501545	+	0.955614i
$342$	−12.6655	−	59.4607i	−0.684871	−	3.21526i
$343$	0.831829	−	13.7518i	0.0449145	−	0.742526i
$344$	−5.09412	+	6.50216i	−0.274657	+	0.350573i
$345$	−6.27658	+	23.8285i	−0.337920	+	1.28288i
$346$	34.3893	+	20.7891i	1.84878	+	1.11763i
$347$	−17.4539	+	12.0476i	−0.936977	+	0.646749i	−0.935529	−	0.353250i	$-0.885076\pi$
$347$	−17.4539	+	12.0476i	−0.936977	+	0.646749i	−0.00144826	+	0.999999i	$0.500461\pi$
$348$	−1.99153	−	44.7043i	−0.106757	−	2.39640i
$349$	21.7514	−	3.98608i	1.16432	−	0.213370i	0.436868	−	0.899526i	$-0.356088\pi$
$349$	21.7514	−	3.98608i	1.16432	−	0.213370i	0.727455	+	0.686155i	$0.240703\pi$
$350$	5.26442	−	4.66387i	0.281395	−	0.249294i
$351$	9.79396	+	15.9712i	0.522763	+	0.852478i
$352$	−5.94330	−	5.26530i	−0.316779	−	0.280642i
$353$	1.17277	+	0.708965i	0.0624204	+	0.0377344i	0.548204	−	0.836345i	$-0.315312\pi$
$353$	1.17277	+	0.708965i	0.0624204	+	0.0377344i	−0.485783	+	0.874079i	$0.661466\pi$
$354$	2.70076	−	5.75465i	0.143544	−	0.305856i
$355$	4.83448	+	19.6143i	0.256588	+	1.04102i
$356$	40.4413	−	18.2011i	2.14338	−	0.964658i
$357$	4.22619	−	7.75039i	0.223674	−	0.410194i
$358$	25.0069	−	55.5631i	1.32166	−	2.93660i
$359$	−10.6596	+	6.44393i	−0.562590	+	0.340098i	−0.769887	−	0.638180i	$-0.779687\pi$
$359$	−10.6596	+	6.44393i	−0.562590	+	0.340098i	0.207296	+	0.978278i	$0.433534\pi$
$360$	21.8211	−	14.0594i	1.15007	−	0.740997i
$361$		−	46.7439i		−	2.46021i
$362$	−19.3870	+	11.7198i	−1.01896	+	0.615981i
$363$	−0.508430	−	3.04680i	−0.0266856	−	0.159915i
$364$	−15.9621	+	3.82650i	−0.836640	+	0.200563i
$365$	−6.73996	+	0.818380i	−0.352786	+	0.0428360i
$366$	−18.6998	−	13.3513i	−0.977457	−	0.697886i
$367$	−13.8087	−	20.0053i	−0.720806	−	1.04427i	−0.996547	−	0.0830355i	$-0.973539\pi$
$367$	−13.8087	−	20.0053i	−0.720806	−	1.04427i	0.275741	−	0.961232i	$-0.411077\pi$
$368$	38.2750	+	33.9087i	1.99522	+	1.76761i
$369$	−0.117340	+	1.26897i	−0.00610849	+	0.0660600i
$370$	−18.6773	−	23.8399i	−0.970989	−	1.23938i
$371$	−0.428986	+	1.37666i	−0.0222718	+	0.0714728i
$372$	−45.4116	+	16.4016i	−2.35448	+	0.850381i
$373$	−15.3940	+	22.3021i	−0.797072	+	1.15476i	0.187925	+	0.982183i	$0.439824\pi$
$373$	−15.3940	+	22.3021i	−0.797072	+	1.15476i	−0.984996	+	0.172574i	$0.944791\pi$
$374$	−35.0233	+	8.63248i	−1.81101	+	0.446375i
$375$	7.51899	−	18.9136i	0.388279	−	0.976695i
$376$	3.12647	−	2.15805i	0.161235	−	0.111293i
$377$	3.81649	+	21.6019i	0.196559	+	1.11255i
$378$	−3.50372	−	13.4747i	−0.180212	−	0.693062i
$379$	−18.7242	+	5.83468i	−0.961795	+	0.299708i	−0.737903	−	0.674906i	$-0.764184\pi$
$379$	−18.7242	+	5.83468i	−0.961795	+	0.299708i	−0.223892	+	0.974614i	$0.571876\pi$
$380$	49.6151	−	18.8165i	2.54520	−	0.965268i
$381$	5.26186	+	31.5320i	0.269573	+	1.61543i
$382$	2.50920	+	0.459827i	0.128382	+	0.0235268i
$383$	18.6098	+	30.7843i	0.950915	+	1.57301i	0.812762	+	0.582595i	$0.197963\pi$
$383$	18.6098	+	30.7843i	0.950915	+	1.57301i	0.138153	+	0.990411i	$0.455883\pi$
$384$	3.00839	+	28.5638i	0.153521	+	1.45764i
$385$	2.05862	−	4.57406i	0.104917	−	0.233116i
$386$	−43.7268	+	16.5834i	−2.22564	+	0.844073i
$387$	3.84088	+	2.17429i	0.195243	+	0.110525i
$388$	−53.5599	−	16.6899i	−2.71909	−	0.847303i
$389$	4.23730	+	1.04440i	0.214840	+	0.0529532i	0.345266	−	0.938505i	$-0.387789\pi$
$389$	4.23730	+	1.04440i	0.214840	+	0.0529532i	−0.130427	+	0.991458i	$0.541635\pi$
$390$	−18.3556	+	15.5460i	−0.929472	+	0.787201i
$391$	42.6104	−	10.5025i	2.15490	−	0.531135i
$392$	−32.7885	−	1.98334i	−1.65607	−	0.100174i
$393$	−7.78837	−	18.0670i	−0.392871	−	0.911360i
$394$	0.418137	+	0.796694i	0.0210655	+	0.0401369i
$395$	−2.39286	−	7.67896i	−0.120398	−	0.386370i
$396$	−21.0500	+	32.4447i	−1.05780	+	1.63041i
$397$	13.5528	+	0.819791i	0.680193	+	0.0411441i	0.396862	−	0.917878i	$-0.370099\pi$
$397$	13.5528	+	0.819791i	0.680193	+	0.0411441i	0.283331	+	0.959022i	$0.408561\pi$
$398$	−6.71677	−	8.57332i	−0.336681	−	0.429742i
$399$	−0.670073	−	15.0413i	−0.0335456	−	0.753005i
$400$	−9.64188	−	10.8834i	−0.482094	−	0.544171i
$401$	−7.95190	+	0.481001i	−0.397099	+	0.0240200i	−0.257721	−	0.966219i	$-0.582972\pi$
$401$	−7.95190	+	0.481001i	−0.397099	+	0.0240200i	−0.139377	+	0.990239i	$0.544510\pi$
$402$	2.27223	+	2.34564i	0.113329	+	0.116990i
$403$	21.0275	−	10.8656i	1.04746	−	0.541256i
$404$	13.8055	−	26.3042i	0.686849	−	1.30868i
$405$	−9.16477	−	10.4111i	−0.455401	−	0.517334i
$406$	1.96497	−	16.1830i	0.0975200	−	0.803149i
$407$	21.1359	+	11.0930i	1.04767	+	0.549859i
$408$	−40.5889	−	22.1326i	−2.00945	−	1.09573i
$409$	−19.7169	+	6.14403i	−0.974937	+	0.303803i	−0.743269	−	0.668992i	$-0.766726\pi$
$409$	−19.7169	+	6.14403i	−0.974937	+	0.303803i	−0.231668	+	0.972795i	$0.574418\pi$
$410$	−1.63322	+	0.0987917i	−0.0806591	+	0.00487897i
$411$	7.37689	−	3.72335i	0.363875	−	0.183660i
$412$	8.86126	−	7.85039i	0.436563	−	0.386761i
$413$	0.894320	−	1.29565i	0.0440066	−	0.0637546i
$414$	37.6719	−	58.0643i	1.85147	−	2.85371i
$415$	11.0257	+	4.18151i	0.541232	+	0.205262i
$416$	2.19834	+	9.17027i	0.107782	+	0.449609i
$417$	20.4444	−	15.4991i	1.00116	−	0.758994i
$418$	−43.5025	+	43.5025i	−2.12778	+	2.12778i
$419$	30.9251	+	11.7283i	1.51079	+	0.572966i	0.964372	−	0.264548i	$-0.0852229\pi$
$419$	30.9251	+	11.7283i	1.51079	+	0.572966i	0.546415	+	0.837514i	$0.315992\pi$
$420$	11.1595	−	4.81064i	0.544526	−	0.234735i
$421$	8.78478	−	28.1913i	0.428144	−	1.37396i	−0.448913	−	0.893575i	$-0.648189\pi$
$421$	8.78478	−	28.1913i	0.428144	−	1.37396i	0.877057	−	0.480386i	$-0.159504\pi$
$422$	2.27412	−	0.416749i	0.110703	−	0.0202870i
$423$	−1.38900	−	1.48025i	−0.0675357	−	0.0719723i
$424$	7.20960	+	2.24660i	0.350129	+	0.109105i
$425$	−12.3878	+	1.50415i	−0.600896	+	0.0729620i
$426$	4.32592	−	56.5779i	0.209591	−	2.74121i
$427$	−4.02373	−	4.02373i	−0.194722	−	0.194722i
$428$	19.5503	+	51.5499i	0.944999	+	2.49176i
$429$	8.16416	−	17.1112i	0.394169	−	0.826138i
$430$	−2.00944	+	5.29846i	−0.0969039	+	0.255515i
$431$	15.7972	−	7.10973i	0.760923	−	0.342464i	0.00747561	−	0.999972i	$-0.497620\pi$
$431$	15.7972	−	7.10973i	0.760923	−	0.342464i	0.753447	+	0.657509i	$0.228390\pi$
$432$	−27.8569	+	7.24343i	−1.34027	+	0.348500i
$433$	−8.87745	−	10.0206i	−0.426623	−	0.481558i	0.495415	−	0.868656i	$-0.335016\pi$
$433$	−8.87745	−	10.0206i	−0.426623	−	0.481558i	−0.922038	+	0.387098i	$0.873477\pi$
$434$	−17.3012	+	3.17057i	−0.830486	+	0.152192i
$435$	−5.51685	−	15.2747i	−0.264513	−	0.732366i
$436$	−2.75382	−	8.83732i	−0.131884	−	0.423231i
$437$	52.9264	−	52.9264i	2.53181	−	2.53181i
$438$	18.7014	+	3.73535i	0.893589	+	0.178482i
$439$	4.30751	+	0.523026i	0.205586	+	0.0249627i	0.222682	−	0.974891i	$-0.428519\pi$
$439$	4.30751	+	0.523026i	0.205586	+	0.0249627i	−0.0170957	+	0.999854i	$0.505442\pi$
$440$	−23.9544	−	10.7810i	−1.14198	−	0.513964i
$441$	1.56074	+	17.4824i	0.0743212	+	0.832496i
$442$	39.9585	+	15.4464i	1.90063	+	0.734711i
$443$	9.79643	+	18.6655i	0.465442	+	0.886826i	0.999153	+	0.0411590i	$0.0131050\pi$
$443$	9.79643	+	18.6655i	0.465442	+	0.886826i	−0.533710	+	0.845667i	$0.679203\pi$
$444$	19.6448	+	54.3912i	0.932300	+	2.58129i
$445$	12.0474	−	10.6731i	0.571102	−	0.505952i
$446$	31.3755	+	7.73336i	1.48567	+	0.366185i
$447$	−6.04697	−	4.31743i	−0.286012	−	0.204207i
$448$	−0.294004	+	4.86046i	−0.0138904	+	0.229635i
$449$	4.22218	+	9.38129i	0.199257	+	0.442731i	0.984252	−	0.176771i	$-0.0565654\pi$
$449$	4.22218	+	9.38129i	0.199257	+	0.442731i	−0.784995	+	0.619502i	$0.787335\pi$
$450$	−12.6239	+	15.0989i	−0.595099	+	0.711769i
$451$	1.14191	−	0.599320i	0.0537704	−	0.0282209i
$452$	−1.33712	−	11.0122i	−0.0628928	−	0.517969i
$453$	−8.97225	−	39.0640i	−0.421553	−	1.83539i
$454$	−6.33421	−	25.6989i	−0.297279	−	1.20611i
$455$	−5.11760	+	3.04931i	−0.239917	+	0.142954i
$456$	−78.7713	+	3.50918i	−3.68880	+	0.164332i
$457$	−9.54045	+	30.6164i	−0.446284	+	1.43217i	0.408294	+	0.912851i	$0.366124\pi$
$457$	−9.54045	+	30.6164i	−0.446284	+	1.43217i	−0.854577	+	0.519324i	$0.826184\pi$
$458$	−21.1707	−	40.3374i	−0.989242	−	1.88484i
$459$	−8.46501	+	23.2071i	−0.395113	+	1.08321i
$460$	55.0901	+	24.7941i	2.56859	+	1.15603i
$461$	−1.29107	+	7.04513i	−0.0601310	+	0.328124i	−0.999907	−	0.0136678i	$-0.995649\pi$
$461$	−1.29107	+	7.04513i	−0.0601310	+	0.328124i	0.939776	+	0.341792i	$0.111034\pi$
$462$	−9.50937	+	10.3961i	−0.442416	+	0.483672i
$463$	−0.135424	+	0.738988i	−0.00629371	+	0.0343437i	−0.986617	−	0.163056i	$-0.947865\pi$
$463$	−0.135424	+	0.738988i	−0.00629371	+	0.0343437i	0.980323	+	0.197399i	$0.0632496\pi$
$464$	−33.4561	−	4.06230i	−1.55316	−	0.188588i
$465$	−13.9639	+	10.5862i	−0.647561	+	0.490923i
$466$	5.78141	+	18.5532i	0.267819	+	0.859460i
$467$	8.47805	−	12.2826i	0.392317	−	0.568370i	−0.576202	−	0.817307i	$-0.695466\pi$
$467$	8.47805	−	12.2826i	0.392317	−	0.568370i	0.968520	+	0.248937i	$0.0800813\pi$
$468$	42.5744	−	17.2391i	1.96800	−	0.796880i
$469$	0.459441	+	0.665616i	0.0212150	+	0.0307353i
$470$	1.60731	−	2.05158i	0.0741395	−	0.0946321i
$471$	0.938868	+	1.61035i	0.0432608	+	0.0742010i
$472$	−6.78531	−	4.68356i	−0.312319	−	0.215578i
$473$	−0.269674	−	4.45825i	−0.0123996	−	0.204991i
$474$	−0.359105	+	22.5894i	−0.0164942	+	1.03757i
$475$	−16.7538	+	13.1258i	−0.768717	+	0.602251i
$476$	−17.0369	−	13.3475i	−0.780884	−	0.611783i
$477$	0.613445	−	3.98812i	0.0280877	−	0.182604i
$478$	−29.7276	+	20.5195i	−1.35971	+	0.938540i
$479$	19.6428	+	25.0722i	0.897502	+	1.14558i	0.988724	+	0.149746i	$0.0478457\pi$
$479$	19.6428	+	25.0722i	0.897502	+	1.14558i	−0.0912223	+	0.995831i	$0.529077\pi$
$480$	−2.76373	−	6.41115i	−0.126147	−	0.292628i
$481$	−13.0142	−	25.1855i	−0.593396	−	1.14836i
$482$	−20.5371	−	2.49366i	−0.935439	−	0.113583i
$483$	11.5694	−	12.6482i	0.526424	−	0.575515i
$484$	−7.57306			−0.344230
$485$	−20.3602			−0.924508
$486$	15.3096	+	35.8260i	0.694456	+	1.62510i
$487$	39.6950	+	17.8653i	1.79875	+	0.809553i	0.967161	+	0.254164i	$0.0818002\pi$
$487$	39.6950	+	17.8653i	1.79875	+	0.809553i	0.831591	+	0.555389i	$0.187431\pi$
$488$	−21.0723	+	21.0723i	−0.953898	+	0.953898i
$489$	19.4744	+	22.6989i	0.880661	+	1.02648i
$490$	−21.8804	+	5.39304i	−0.988458	+	0.243633i
$491$	−24.1273	−	21.3749i	−1.08885	−	0.964635i	−0.0893402	−	0.996001i	$-0.528476\pi$
$491$	−24.1273	−	21.3749i	−1.08885	−	0.964635i	−0.999508	+	0.0313659i	$0.990014\pi$
$492$	3.02133	+	0.795839i	0.136212	+	0.0358792i
$493$	−19.1801	+	21.6499i	−0.863829	+	0.975061i
$494$	71.9517	−	12.7120i	3.23726	−	0.571939i
$495$	−3.79058	+	13.5147i	−0.170374	+	0.607440i
$496$	6.55470	+	35.7678i	0.294315	+	1.60602i
$497$	3.36305	−	13.6444i	0.150854	−	0.612037i
$498$	−25.7454	−	20.8391i	−1.15368	−	0.933821i
$499$	5.48978	−	9.08121i	0.245756	−	0.406531i	−0.708413	−	0.705798i	$-0.750588\pi$
$499$	5.48978	−	9.08121i	0.245756	−	0.406531i	0.954169	+	0.299268i	$0.0967423\pi$
$500$	−42.7035	−	25.8151i	−1.90976	−	1.15449i
$501$	0.00969839	−	0.0243958i	0.000433292	−	0.00108992i
$502$	−17.8951	−	1.08245i	−0.798698	−	0.0483123i
$503$	−16.9774	−	6.43869i	−0.756986	−	0.287087i	−0.0542400	−	0.998528i	$-0.517274\pi$
$503$	−16.9774	−	6.43869i	−0.756986	−	0.287087i	−0.702746	+	0.711441i	$0.748043\pi$
$504$	−17.9860	+	1.60570i	−0.801159	+	0.0715236i
$505$	1.94340	−	10.6048i	0.0864804	−	0.471908i
$506$	−70.0424			−3.11376
$507$	−19.5951	+	11.0920i	−0.870249	+	0.492612i
$508$	78.3754			3.47735
$509$	4.13535	−	22.5659i	0.183296	−	1.00022i	−0.755347	−	0.655325i	$-0.772532\pi$
$509$	4.13535	−	22.5659i	0.183296	−	1.00022i	0.938643	−	0.344890i	$-0.112084\pi$
$510$	−31.1020	−	6.21217i	−1.37722	−	0.275080i
$511$	4.41610	+	1.67481i	0.195357	+	0.0740890i
$512$	47.6263	+	2.88086i	2.10481	+	0.127317i
$513$	8.12131	+	41.3416i	0.358564	+	1.82528i
$514$	−30.6807	−	18.5471i	−1.35327	−	0.818078i
$515$	2.22275	−	3.67687i	0.0979459	−	0.162022i
$516$	6.80791	−	8.41076i	0.299701	−	0.370263i
$517$	−0.491597	+	1.99449i	−0.0216204	+	0.0877175i
$518$	3.79751	+	20.7224i	0.166853	+	0.910488i
$519$	−23.6004	−	14.7842i	−1.03594	−	0.648954i
$520$	15.9693	+	26.8009i	0.700298	+	1.17530i
$521$	−19.8589	+	22.4161i	−0.870036	+	0.982068i	−0.999955	−	0.00945705i	$-0.996990\pi$
$521$	−19.8589	+	22.4161i	−0.870036	+	0.982068i	0.129919	+	0.991525i	$0.458528\pi$
$522$	1.30557	+	45.5989i	0.0571433	+	1.99581i
$523$	−7.31941	−	6.48443i	−0.320056	−	0.283544i	0.487763	−	0.872976i	$-0.337813\pi$
$523$	−7.31941	−	6.48443i	−0.320056	−	0.283544i	−0.807818	+	0.589432i	$0.799352\pi$
$524$	−46.8333	+	11.5434i	−2.04592	+	0.504275i
$525$	−3.69925	+	3.17374i	−0.161448	+	0.138514i
$526$	−0.593846	+	0.593846i	−0.0258929	+	0.0258929i
$527$	28.4588	+	12.8083i	1.23969	+	0.557937i
$528$	21.4925	+	19.6593i	0.935343	+	0.855560i
$529$	62.2155			2.70502
$530$	5.18065			0.225033
$531$	−1.93483	+	3.95782i	−0.0839645	+	0.171755i
$532$	−36.6438	−	4.44937i	−1.58871	−	0.192904i
$533$	−1.51924	−	0.194308i	−0.0658058	−	0.00841640i
$534$	−41.5163	+	17.8969i	−1.79658	+	0.774475i
$535$	12.3400	+	15.7508i	0.533503	+	0.680966i
$536$	3.48584	−	2.40610i	0.150565	−	0.103928i
$537$	−17.9401	+	38.2259i	−0.774173	+	1.64957i
$538$	0.586214	+	0.459269i	0.0252735	+	0.0198005i
$539$	13.9819	−	10.9541i	0.602242	−	0.471827i
$540$	−28.8750	+	17.9613i	−1.24258	+	0.772931i
$541$	−1.02389	−	16.9270i	−0.0440207	−	0.727749i	−0.951499	−	0.307651i	$-0.900457\pi$
$541$	−1.02389	−	16.9270i	−0.0440207	−	0.727749i	0.907479	−	0.420098i	$-0.138004\pi$
$542$	7.04791	+	4.86482i	0.302734	+	0.208962i
$543$	13.5629	−	7.90747i	0.582041	−	0.339342i
$544$	−7.66821	+	9.78775i	−0.328772	+	0.419646i
$545$	−1.90836	−	2.76474i	−0.0817452	−	0.118428i
$546$	16.3320	−	3.64166i	0.698944	−	0.155849i
$547$	−18.0535	+	26.1550i	−0.771911	+	1.11831i	0.217907	+	0.975970i	$0.430077\pi$
$547$	−18.0535	+	26.1550i	−0.771911	+	1.11831i	−0.989818	+	0.142337i	$0.954538\pi$
$548$	−6.02710	−	19.3416i	−0.257465	−	0.826233i
$549$	12.8106	+	9.45755i	0.546744	+	0.403638i
$550$	19.7712	+	2.40066i	0.843047	+	0.102364i
$551$	−8.89221	+	48.5232i	−0.378821	+	2.06716i
$552$	−66.2389	−	60.5889i	−2.81932	−	2.57883i
$553$	−1.00855	+	5.50348i	−0.0428879	+	0.234032i
$554$	35.7192	+	16.0759i	1.51756	+	0.683001i
$555$	12.6795	+	16.7251i	0.538214	+	0.709941i
$556$	−29.2304	−	55.6939i	−1.23965	−	2.36195i
$557$	−5.19681	+	16.6771i	−0.220196	+	0.706633i	0.776840	+	0.629698i	$0.216821\pi$
$557$	−5.19681	+	16.6771i	−0.220196	+	0.706633i	−0.997036	+	0.0769356i	$0.975486\pi$
$558$	46.5533	−	15.9821i	1.97076	−	0.676576i
$559$	−2.77310	+	4.52189i	−0.117290	+	0.191256i
$560$	−2.19028	−	8.88630i	−0.0925561	−	0.375515i
$561$	24.3638	−	5.59591i	1.02864	−	0.236259i
$562$	−4.84684	−	39.9173i	−0.204452	−	1.68381i
$563$	−15.3729	+	8.06831i	−0.647889	+	0.340039i	−0.756450	−	0.654051i	$-0.773068\pi$
$563$	−15.3729	+	8.06831i	−0.647889	+	0.340039i	0.108561	+	0.994090i	$0.465376\pi$
$564$	−4.14013	+	2.76161i	−0.174331	+	0.116285i
$565$	−1.65231	−	3.67127i	−0.0695130	−	0.154452i
$566$	3.03242	−	50.1318i	0.127462	−	2.10720i
$567$	2.27940	+	9.37560i	0.0957258	+	0.393738i
$568$	−71.4561	−	17.6123i	−2.99823	−	0.738998i
$569$	21.3552	−	18.9191i	0.895257	−	0.793128i	−0.0838495	−	0.996478i	$-0.526722\pi$
$569$	21.3552	−	18.9191i	0.895257	−	0.793128i	0.979106	+	0.203350i	$0.0651830\pi$
$570$	−50.8771	+	18.3755i	−2.13101	+	0.769667i
$571$	−5.89401	−	11.2301i	−0.246657	−	0.469965i	0.730379	−	0.683043i	$-0.239344\pi$
$571$	−5.89401	−	11.2301i	−0.246657	−	0.469965i	−0.977035	+	0.213077i	$0.931651\pi$
$572$	−38.0845	−	26.6480i	−1.59239	−	1.11421i
$573$	−1.73363	−	0.346268i	−0.0724235	−	0.0144656i
$574$	1.03793	+	0.467135i	0.0433225	+	0.0194979i
$575$	−24.0542	−	2.92071i	−1.00313	−	0.121802i
$576$	−1.21163	−	13.5719i	−0.0504848	−	0.565496i
$577$	2.42767	−	2.42767i	0.101065	−	0.101065i	−0.654766	−	0.755832i	$-0.727233\pi$
$577$	2.42767	−	2.42767i	0.101065	−	0.101065i	0.755832	+	0.654766i	$0.227233\pi$
$578$	4.16452	+	13.3644i	0.173221	+	0.555886i
$579$	30.4823	−	11.0095i	1.26680	−	0.457538i
$580$	−39.1642	+	7.17711i	−1.62620	+	0.298013i
$581$	−5.43959	−	6.14002i	−0.225672	−	0.254731i
$582$	54.3226	+	17.8797i	2.25174	+	0.741139i
$583$	−3.72355	+	1.67584i	−0.154214	+	0.0694060i
$584$	8.77097	−	23.1272i	0.362945	−	0.957008i
$585$	12.8904	−	10.5701i	0.532953	−	0.437019i
$586$	−23.5610	−	62.1251i	−0.973294	−	2.56637i
$587$	−12.3921	−	12.3921i	−0.511477	−	0.511477i	0.403502	−	0.914979i	$-0.367793\pi$
$587$	−12.3921	−	12.3921i	−0.511477	−	0.511477i	−0.914979	+	0.403502i	$0.867793\pi$
$588$	42.9065	+	3.28061i	1.76944	+	0.135290i
$589$	52.8393	−	6.41585i	2.17720	−	0.264360i
$590$	−5.40012	−	1.68275i	−0.222320	−	0.0692776i
$591$	−0.280964	−	0.556660i	−0.0115573	−	0.0228979i
$592$	42.8405	−	7.85081i	1.76073	−	0.322666i
$593$	−4.62303	+	14.8358i	−0.189845	+	0.609234i	0.809898	+	0.586571i	$0.199522\pi$
$593$	−4.62303	+	14.8358i	−0.189845	+	0.609234i	−0.999743	+	0.0226636i	$0.992785\pi$
$594$	21.9818	−	32.7295i	0.901923	−	1.34291i
$595$	−7.34432	−	2.78533i	−0.301088	−	0.114187i
$596$	−12.8808	+	12.8808i	−0.527617	+	0.527617i
$597$	4.55981	+	6.01470i	0.186621	+	0.246165i
$598$	68.1575	+	47.6903i	2.78717	+	1.95020i
$599$	−25.8042	−	9.78624i	−1.05433	−	0.399855i	−0.234294	−	0.972166i	$-0.575278\pi$
$599$	−25.8042	−	9.78624i	−1.05433	−	0.399855i	−0.820037	+	0.572311i	$0.806047\pi$
$600$	16.6209	+	19.3730i	0.678547	+	0.790900i
$601$	−15.0643	+	21.8245i	−0.614487	+	0.890238i	−0.999466	−	0.0326875i	$-0.989593\pi$
$601$	−15.0643	+	21.8245i	−0.614487	+	0.890238i	0.384979	+	0.922925i	$0.374209\pi$
$602$	2.95062	−	2.61402i	0.120258	−	0.106539i
$603$	−1.54866	−	1.65040i	−0.0630664	−	0.0672094i
$604$	−98.0868	+	5.93316i	−3.99109	+	0.241417i
$605$	−2.62401	+	0.817676i	−0.106681	+	0.0332433i
$606$	−14.4980	+	26.5879i	−0.588941	+	1.08006i
$607$	16.9272	+	8.88409i	0.687054	+	0.360594i	0.771850	−	0.635804i	$-0.219332\pi$
$607$	16.9272	+	8.88409i	0.687054	+	0.360594i	−0.0847959	+	0.996398i	$0.527024\pi$
$608$	−2.55618	+	21.0520i	−0.103667	+	0.853772i
$609$	−1.53985	+	11.1921i	−0.0623980	+	0.453525i
$610$	−9.50101	+	18.1027i	−0.384685	+	0.732956i
$611$	1.83637	−	1.60610i	0.0742916	−	0.0649758i
$612$	52.7043	+	29.8354i	2.13045	+	1.20603i
$613$	−11.4059	+	0.689929i	−0.460679	+	0.0278660i	−0.289089	−	0.957302i	$-0.593352\pi$
$613$	−11.4059	+	0.689929i	−0.460679	+	0.0278660i	−0.171591	+	0.985168i	$0.554891\pi$
$614$	−25.0466	−	28.2717i	−1.01080	−	1.14095i
$615$	1.13280	−	0.0504649i	0.0456788	−	0.00203494i
$616$	11.2696	+	14.3846i	0.454066	+	0.579573i
$617$	−28.5942	−	1.72963i	−1.15116	−	0.0696324i	−0.526251	−	0.850329i	$-0.676403\pi$
$617$	−28.5942	−	1.72963i	−1.15116	−	0.0696324i	−0.624910	+	0.780697i	$0.714864\pi$
$618$	−9.15939	+	7.85823i	−0.368445	+	0.316104i
$619$	−10.3039	−	33.0665i	−0.414150	−	1.32905i	−0.892564	−	0.450920i	$-0.851096\pi$
$619$	−10.3039	−	33.0665i	−0.414150	−	1.32905i	0.478414	−	0.878134i	$-0.341212\pi$
$620$	19.9650	+	38.0401i	0.801813	+	1.52773i
$621$	−26.7436	+	39.8196i	−1.07318	+	1.59790i
$622$	54.1494	+	3.27544i	2.17119	+	0.131333i
$623$	−10.8711	+	2.67948i	−0.435541	+	0.107351i
$624$	−7.52862	−	33.7640i	−0.301386	−	1.35164i
$625$	−4.84073	−	1.19313i	−0.193629	−	0.0477253i
$626$	−60.4520	−	18.8376i	−2.41615	−	0.752902i
$627$	30.6234	−	29.6650i	1.22298	−	1.18471i
$628$	4.27309	−	1.62057i	0.170515	−	0.0646677i
$629$	15.3410	−	34.0862i	0.611684	−	1.35911i
$630$	−11.4527	+	4.72261i	−0.456285	+	0.188153i
$631$	12.9706	+	21.4560i	0.516351	+	0.854148i	0.999774	−	0.0212382i	$-0.00676084\pi$
$631$	12.9706	+	21.4560i	0.516351	+	0.854148i	−0.483424	+	0.875386i	$0.660607\pi$
$632$	28.8218	+	5.28178i	1.14647	+	0.210098i
$633$	−1.58040	+	0.263727i	−0.0628153	+	0.0104822i
$634$	−26.2435	+	9.95284i	−1.04226	+	0.395278i
$635$	27.1566	−	8.46232i	1.07767	−	0.335817i
$636$	−9.39669	−	3.09283i	−0.372603	−	0.122639i
$637$	−21.0640	+	1.13938i	−0.834587	+	0.0451439i
$638$	37.9916	−	26.2237i	1.50410	−	1.03821i
$639$	−3.62079	+	39.1569i	−0.143236	+	1.54902i
$640$	24.8134	−	6.11597i	0.980838	−	0.241755i
$641$	−23.9082	+	34.6370i	−0.944318	+	1.36808i	−0.0145657	+	0.999894i	$0.504637\pi$
$641$	−23.9082	+	34.6370i	−0.944318	+	1.36808i	−0.929752	+	0.368186i	$0.879979\pi$
$642$	−19.0921	−	52.8610i	−0.753505	−	2.08626i
$643$	7.54273	−	24.2055i	0.297456	−	0.954571i	−0.678128	−	0.734944i	$-0.737208\pi$
$643$	7.54273	−	24.2055i	0.297456	−	0.954571i	0.975584	−	0.219627i	$-0.0704840\pi$
$644$	−25.9178	−	33.0816i	−1.02130	−	1.30360i
$645$	1.45077	−	3.64933i	0.0571240	−	0.143692i
$646$	72.1115	+	63.8852i	2.83719	+	2.51353i
$647$	−13.6576	−	19.7864i	−0.536934	−	0.777883i	0.456810	−	0.889564i	$-0.348992\pi$
$647$	−13.6576	−	19.7864i	−0.536934	−	0.777883i	−0.993744	+	0.111681i	$0.964376\pi$
$648$	49.1001	−	11.9372i	1.92883	−	0.468939i
$649$	4.42564	−	0.537370i	0.173721	−	0.0210936i
$650$	−17.6046	−	15.7978i	−0.690509	−	0.619641i
$651$	12.0235	−	2.00640i	0.471237	−	0.0786371i
$652$	62.7502	−	37.9338i	2.45749	−	1.48560i
$653$		−	25.9637i		−	1.01604i	−0.861345	−	0.508020i	$-0.830378\pi$
$653$		−	25.9637i		−	1.01604i	0.861345	−	0.508020i	$-0.169622\pi$
$654$	2.66374	+	9.05241i	0.104161	+	0.353977i
$655$	−14.9811	+	9.05637i	−0.585359	+	0.353862i
$656$	0.965736	−	2.14578i	0.0377057	−	0.0837785i
$657$	−12.9177	−	2.79434i	−0.503966	−	0.109018i
$658$	−1.65327	+	0.744074i	−0.0644510	+	0.0290070i
$659$	0.780384	+	3.16614i	0.0303994	+	0.123335i	0.984181	−	0.177165i	$-0.0566926\pi$
$659$	0.780384	+	3.16614i	0.0303994	+	0.123335i	−0.953782	+	0.300500i	$0.902846\pi$
$660$	31.1521	+	14.6203i	1.21259	+	0.569093i
$661$	9.20428	+	5.56418i	0.358005	+	0.216422i	0.684897	−	0.728640i	$-0.259847\pi$
$661$	9.20428	+	5.56418i	0.358005	+	0.216422i	−0.326892	+	0.945062i	$0.606001\pi$
$662$	41.5050	+	36.7702i	1.61314	+	1.42912i
$663$	−27.5183	−	11.1435i	−1.06872	−	0.432776i
$664$	−32.1554	+	28.4872i	−1.24787	+	1.10552i
$665$	−13.1772	+	2.41482i	−0.510991	+	0.0936427i
$666$	−19.1424	−	55.7587i	−0.741752	−	2.16061i
$667$	−46.2216	+	31.9045i	−1.78971	+	1.23535i
$668$	−0.0550812	−	0.0332977i	−0.00213115	−	0.00128833i
$669$	−21.6558	−	5.70430i	−0.837263	−	0.220541i
$670$	1.79206	−	2.28739i	0.0692332	−	0.0883696i
$671$	0.972937	−	16.0846i	0.0375598	−	0.620938i
$672$	−0.370251	+	4.84245i	−0.0142827	+	0.186802i
$673$	−12.8350	+	24.4550i	−0.494753	+	0.942673i	0.502207	+	0.864748i	$0.332522\pi$
$673$	−12.8350	+	24.4550i	−0.494753	+	0.942673i	−0.996959	+	0.0779248i	$0.975171\pi$
$674$	10.1625	+	1.86236i	0.391447	+	0.0717353i
$675$	8.91384	−	10.3234i	0.343094	−	0.397349i
$676$	18.9156	+	51.8618i	0.727525	+	1.99468i
$677$		−	34.1087i		−	1.31090i	−0.755237	−	0.655452i	$-0.772478\pi$
$677$		−	34.1087i		−	1.31090i	0.755237	−	0.655452i	$-0.227522\pi$
$678$	1.18447	+	11.2463i	0.0454895	+	0.431910i
$679$	12.5410	+	6.58203i	0.481280	+	0.252595i
$680$	−14.5868	+	38.4623i	−0.559379	+	1.47496i
$681$	4.10608	+	17.8773i	0.157345	+	0.685060i
$682$	−39.2089	−	30.7182i	−1.50139	−	1.17626i
$683$	−26.1223	+	43.2116i	−0.999542	+	1.65344i	−0.278657	+	0.960391i	$0.589889\pi$
$683$	−26.1223	+	43.2116i	−0.999542	+	1.65344i	−0.720885	+	0.693054i	$0.756265\pi$
$684$	103.251	−	2.95626i	3.94791	−	0.113035i
$685$	−4.17669	−	6.05099i	−0.159583	−	0.231196i
$686$	33.4319	+	8.24022i	1.27644	+	0.314613i
$687$	14.2255	+	28.1842i	0.542736	+	1.07530i
$688$	−5.40411	−	6.09998i	−0.206030	−	0.232559i
$689$	4.76439	+	0.904545i	0.181509	+	0.0344604i
$690$	−55.7510	−	26.1650i	−2.12240	−	0.996083i
$691$	13.8839	−	22.9668i	0.528168	−	0.873697i	−0.471800	−	0.881706i	$-0.656396\pi$
$691$	13.8839	−	22.9668i	0.528168	−	0.873697i	0.999968	+	0.00800897i	$0.00254936\pi$
$692$	−45.2755	+	51.1054i	−1.72112	+	1.94274i
$693$	6.70385	−	7.09905i	0.254658	−	0.269671i
$694$	−21.7540	−	48.3354i	−0.825771	−	1.83479i
$695$	−16.1415	−	16.1415i	−0.612282	−	0.612282i
$696$	58.6129	+	8.06423i	2.22172	+	0.305674i
$697$	−1.04476	−	1.72824i	−0.0395731	−	0.0654619i
$698$			55.2682i			2.09193i
$699$	−3.80174	−	12.9198i	−0.143795	−	0.488670i
$700$	6.18208	+	10.2264i	0.233661	+	0.386522i
$701$	−0.682104	+	5.61763i	−0.0257627	+	0.212175i	−0.999905	−	0.0137590i	$-0.995620\pi$
$701$	−0.682104	+	5.61763i	−0.0257627	+	0.212175i	0.974143	+	0.225934i	$0.0725433\pi$
$702$	−43.6750	+	16.8818i	−1.64841	+	0.637163i
$703$	−7.68451	−	63.2876i	−0.289827	−	2.38694i
$704$	−10.8544	+	8.50387i	−0.409090	+	0.320502i
$705$	−1.13635	+	1.40389i	−0.0427975	+	0.0528737i
$706$	−2.27123	+	2.56369i	−0.0854788	+	0.0964856i
$707$	−4.62537	+	5.90385i	−0.173955	+	0.222037i
$708$	8.79019	+	6.27603i	0.330356	+	0.235868i
$709$	1.05930	+	0.330091i	0.0397829	+	0.0123968i	0.317330	−	0.948315i	$-0.397214\pi$
$709$	1.05930	+	0.330091i	0.0397829	+	0.0123968i	−0.277547	+	0.960712i	$0.589521\pi$
$710$	−50.3967	+	3.04844i	−1.89135	+	0.114406i
$711$	0.497670	−	15.6489i	0.0186641	−	0.586881i
$712$	14.0325	+	56.9320i	0.525889	+	2.13362i
$713$	47.7026	+	37.3726i	1.78648	+	1.39962i
$714$	17.1492	+	13.8811i	0.641793	+	0.519486i
$715$	−16.0733	−	5.12130i	−0.601106	−	0.191526i
$716$	85.1999	+	58.8093i	3.18407	+	2.19781i
$717$	20.8252	−	13.8911i	0.777731	−	0.518773i
$718$	−11.0392	−	29.1080i	−0.411979	−	1.08630i
$719$	2.46704	−	20.3179i	0.0920052	−	0.757731i	−0.871566	−	0.490279i	$-0.836895\pi$
$719$	2.46704	−	20.3179i	0.0920052	−	0.757731i	0.963571	−	0.267453i	$-0.0861819\pi$
$720$	9.76332	+	23.6767i	0.363858	+	0.882380i
$721$	−2.55777	+	1.54623i	−0.0952565	+	0.0575845i
$722$	114.913	+	21.0585i	4.27661	+	0.783718i
$723$	14.2033	+	1.95416i	0.528227	+	0.0726759i
$724$	−13.6490	−	35.9894i	−0.507260	−	1.33754i
$725$	14.1407	−	7.42161i	0.525173	−	0.275632i
$726$	7.71914	+	0.122711i	0.286484	+	0.00455425i
$727$	−11.4314	+	46.3789i	−0.423966	+	1.72010i	0.238619	+	0.971113i	$0.423305\pi$
$727$	−11.4314	+	46.3789i	−0.423966	+	1.72010i	−0.662586	+	0.748986i	$0.730541\pi$
$728$	−1.17220	−	21.6708i	−0.0434446	−	0.803171i
$729$	−10.2138	−	24.9936i	−0.378289	−	0.925687i
$730$	1.02455	−	16.9379i	0.0379204	−	0.626899i
$731$	−6.94315	+	0.843051i	−0.256802	+	0.0311814i
$732$	28.0402	−	27.1627i	1.03640	−	1.00396i
$733$	8.42742	−	2.62609i	0.311274	−	0.0969969i	−0.137886	−	0.990448i	$-0.544031\pi$
$733$	8.42742	−	2.62609i	0.311274	−	0.0969969i	0.449160	+	0.893451i	$0.351723\pi$
$734$	55.4009	−	24.9339i	2.04488	−	0.920328i
$735$	15.2210	−	3.49598i	0.561436	−	0.128951i
$736$	−19.0055	+	14.8899i	−0.700552	+	0.548847i
$737$	−0.548103	+	2.22374i	−0.0201896	+	0.0819126i
$738$	−3.06671	−	0.860146i	−0.112887	−	0.0316624i
$739$	−1.17800	−	19.4746i	−0.0433333	−	0.716384i	−0.953360	−	0.301835i	$-0.902401\pi$
$739$	−1.17800	−	19.4746i	−0.0433333	−	0.716384i	0.910027	−	0.414549i	$-0.136061\pi$
$740$	45.5621	−	23.9128i	1.67489	−	0.879052i
$741$	−49.9976	+	8.01593i	−1.83671	+	0.294473i
$742$	−3.19106	−	1.67480i	−0.117147	−	0.0614837i
$743$	18.4383	−	40.9683i	0.676436	−	1.50298i	−0.178332	−	0.983970i	$-0.557070\pi$
$743$	18.4383	−	40.9683i	0.676436	−	1.50298i	0.854768	−	0.519010i	$-0.173699\pi$
$744$	−10.5075	−	62.9671i	−0.385225	−	2.30849i
$745$	−3.07234	+	5.85386i	−0.112562	+	0.214469i
$746$	−47.8911	−	47.8911i	−1.75342	−	1.75342i
$747$	17.6102	+	14.7236i	0.644325	+	0.538710i
$748$	−3.70046	−	61.1758i	−0.135302	−	2.23681i
$749$	−2.50898	−	13.6911i	−0.0916763	−	0.500261i
$750$	43.1089	+	27.0050i	1.57411	+	0.986085i
$751$	20.3662	+	14.0578i	0.743172	+	0.512975i	0.878451	−	0.477833i	$-0.158578\pi$
$751$	20.3662	+	14.0578i	0.743172	+	0.512975i	−0.135279	+	0.990808i	$0.543193\pi$
$752$	1.53827	+	3.41789i	0.0560948	+	0.124638i
$753$	12.3881	+	0.947190i	0.451449	+	0.0345175i
$754$	−54.8244	−	0.349595i	−1.99659	−	0.0127315i
$755$	−33.3458	+	12.6464i	−1.21358	+	0.460249i
$756$	23.5923	−	1.72870i	0.858044	−	0.0628724i
$757$	13.6725	−	36.0514i	0.496935	−	1.31031i	−0.418635	−	0.908154i	$-0.637491\pi$
$757$	13.6725	−	36.0514i	0.496935	−	1.31031i	0.915571	−	0.402157i	$-0.131739\pi$
$758$	−5.90828	−	48.6591i	−0.214598	−	1.76738i
$759$	48.5345	+	0.771555i	1.76169	+	0.0280057i
$760$	12.6464	+	69.0093i	0.458734	+	2.50323i
$761$	−6.70993	−	36.6149i	−0.243235	−	1.32729i	−0.847623	−	0.530599i	$-0.821967\pi$
$761$	−6.70993	−	36.6149i	−0.243235	−	1.32729i	0.604388	−	0.796690i	$-0.293418\pi$
$762$	−79.8872	−	1.26997i	−2.89401	−	0.0460062i
$763$	0.281686	+	2.31989i	0.0101977	+	0.0839858i
$764$	−1.53695	+	4.05261i	−0.0556050	+	0.146618i
$765$	21.4831	+	4.64721i	0.776722	+	0.168020i
$766$	−84.0625	+	31.8807i	−3.03730	+	1.15190i
$767$	−4.67243	−	2.49041i	−0.168711	−	0.0899234i
$768$	−55.8871	−	4.27309i	−2.01665	−	0.154192i
$769$	8.31245	+	18.4695i	0.299755	+	0.666027i	0.998796	−	0.0490536i	$-0.0156205\pi$
$769$	8.31245	+	18.4695i	0.299755	+	0.666027i	−0.699042

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:	\( N \)	\(=\)	\( 507 = 3 \cdot 13^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	507.s (of order \(52\), degree \(24\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.450509 + 2.45835i) q^{2} +(0.339251 - 1.69850i) q^{3} +(-3.97049 - 1.50581i) q^{4} +(-1.53833 - 0.0930519i) q^{5} +(4.02267 + 1.59919i) q^{6} +(0.917465 + 0.554627i) q^{7} +(2.90459 - 4.80477i) q^{8} +(-2.76982 - 1.15244i) q^{9} +(0.921786 - 3.73983i) q^{10} +(0.547234 + 2.98616i) q^{11} +(-3.90461 + 6.23303i) q^{12} +(1.50070 - 3.27840i) q^{13} +(-1.77679 + 2.00558i) q^{14} +(-0.679930 + 2.58129i) q^{15} +(4.14626 + 3.67326i) q^{16} +(4.61590 - 1.13772i) q^{17} +(4.08092 - 6.28999i) q^{18} +(5.73341 - 5.73341i) q^{19} +(5.96780 + 2.68589i) q^{20} +(1.25329 - 1.37016i) q^{21} -7.58755 q^{22} +9.23122 q^{23} +(-7.17553 - 6.56347i) q^{24} +(-2.60574 - 0.316394i) q^{25} +(7.38337 + 5.16619i) q^{26} +(-2.89708 + 4.31357i) q^{27} +(-2.80762 - 3.58366i) q^{28} +(-5.00710 + 3.45615i) q^{29} +(-6.03939 - 2.83440i) q^{30} +(5.16753 + 4.04850i) q^{31} +(-2.05883 + 1.61299i) q^{32} +(5.25765 + 0.0835810i) q^{33} +(0.717400 + 11.8600i) q^{34} +(-1.35976 - 0.938571i) q^{35} +(9.26217 + 8.74655i) q^{36} +(4.84905 - 6.18935i) q^{37} +(11.5118 + 16.6777i) q^{38} +(-5.05925 - 3.66114i) q^{39} +(-4.91531 + 7.12105i) q^{40} +(-0.126378 - 0.405560i) q^{41} +(2.80371 + 3.69828i) q^{42} +(-1.46047 - 0.177334i) q^{43} +(2.32379 - 12.6805i) q^{44} +(4.15366 + 2.03057i) q^{45} +(-4.15875 + 22.6936i) q^{46} +(0.617021 + 0.277699i) q^{47} +(7.64567 - 5.79627i) q^{48} +(-2.71893 - 5.18049i) q^{49} +(1.95172 - 6.26328i) q^{50} +(-0.366463 - 8.22608i) q^{51} +(-10.8951 + 10.7571i) q^{52} +(0.321882 + 1.30592i) q^{53} +(-9.29910 - 9.06534i) q^{54} +(-0.563959 - 4.64462i) q^{55} +(5.32971 - 2.79725i) q^{56} +(-7.79313 - 11.6833i) q^{57} +(-6.24068 - 13.8662i) q^{58} +(0.0886647 - 1.46580i) q^{59} +(6.58658 - 9.22513i) q^{60} +(-5.15359 - 1.27025i) q^{61} +(-12.2806 + 10.8797i) q^{62} +(-1.90204 - 2.59354i) q^{63} +(2.11076 + 4.02171i) q^{64} +(-2.61363 + 4.90362i) q^{65} +(-2.57409 + 12.8875i) q^{66} +(0.687943 + 0.309618i) q^{67} +(-20.0405 - 2.43336i) q^{68} +(3.13171 - 15.6793i) q^{69} +(2.91992 - 2.91992i) q^{70} +(-3.89967 - 12.5145i) q^{71} +(-13.5824 + 9.96098i) q^{72} +(4.33331 - 0.794109i) q^{73} +(13.0310 + 14.7090i) q^{74} +(-1.42140 + 4.31852i) q^{75} +(-31.3978 + 14.1310i) q^{76} +(-1.15414 + 3.04321i) q^{77} +(11.2796 - 10.7880i) q^{78} +(1.85067 + 4.87980i) q^{79} +(-6.03651 - 6.03651i) q^{80} +(6.34377 + 6.38409i) q^{81} +(1.05394 - 0.127972i) q^{82} +(-7.30503 - 2.27634i) q^{83} +(-7.03935 + 3.55299i) q^{84} +(-7.20664 + 1.32067i) q^{85} +(1.09390 - 3.51046i) q^{86} +(4.17161 + 9.67707i) q^{87} +(15.9373 + 6.04422i) q^{88} +(-7.38479 + 7.38479i) q^{89} +(-6.86310 + 9.29635i) q^{90} +(3.19513 - 2.17549i) q^{91} +(-36.6524 - 13.9004i) q^{92} +(8.62948 - 7.40360i) q^{93} +(-0.960653 + 1.39175i) q^{94} +(-9.35338 + 8.28637i) q^{95} +(2.04120 + 4.04413i) q^{96} +(13.1870 - 0.797666i) q^{97} +(13.9604 - 4.35022i) q^{98} +(1.92563 - 8.90177i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1392 q - 22 q^{3} - 52 q^{4} - 22 q^{6} - 56 q^{7} - 22 q^{9} - 52 q^{10} - 26 q^{12} - 44 q^{13} - 34 q^{15} + 48 q^{16} - 34 q^{18} - 56 q^{19} - 22 q^{21} - 96 q^{22} - 194 q^{24} - 52 q^{25} - 34 q^{27}+ \cdots - 58 q^{99}+O(q^{100}) \) 1392 * q - 22 * q^3 - 52 * q^4 - 22 * q^6 - 56 * q^7 - 22 * q^9 - 52 * q^10 - 26 * q^12 - 44 * q^13 - 34 * q^15 + 48 * q^16 - 34 * q^18 - 56 * q^19 - 22 * q^21 - 96 * q^22 - 194 * q^24 - 52 * q^25 - 34 * q^27 - 56 * q^28 + 78 * q^30 - 32 * q^31 - 10 * q^33 - 52 * q^34 - 26 * q^36 - 56 * q^37 + 70 * q^39 - 36 * q^40 - 10 * q^42 - 52 * q^43 - 140 * q^45 - 180 * q^46 - 2 * q^48 - 52 * q^49 - 26 * q^51 - 64 * q^52 - 22 * q^54 + 132 * q^55 - 22 * q^57 - 60 * q^58 - 18 * q^60 - 92 * q^61 + 108 * q^63 - 52 * q^64 - 124 * q^66 - 240 * q^67 - 104 * q^69 - 268 * q^70 - 2 * q^72 - 56 * q^73 + 104 * q^75 - 48 * q^76 - 22 * q^78 - 12 * q^79 + 2 * q^81 + 208 * q^82 - 22 * q^84 - 52 * q^85 - 26 * q^87 - 260 * q^88 - 26 * q^90 - 32 * q^91 - 176 * q^93 - 240 * q^94 + 292 * q^96 - 80 * q^97 - 58 * q^99

Introduction

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