LMFDB - Embedded newform 184.2.p.a.101.13

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [184,2,Mod(13,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([0, 11, 14])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.13"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 184 = 2^{3} \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	184.p (of order $22$, degree $10$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$1.46924739719$
Analytic rank:	$0$
Dimension:	$220$
Relative dimension:	$22$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			101.13
Character	$\chi$	$=$	184.101
Dual form			184.2.p.a.133.13

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.0549415 + 1.41315i) q^{2} +(1.56187 - 1.35337i) q^{3} +(-1.99396 + 0.155281i) q^{4} +(1.30771 - 0.188020i) q^{5} +(1.99832 + 2.13279i) q^{6} +(1.93127 - 4.22889i) q^{7} +(-0.328986 - 2.80923i) q^{8} +(0.180888 - 1.25811i) q^{9} +(0.337547 + 1.83765i) q^{10} +(-0.917064 + 3.12323i) q^{11} +(-2.90416 + 2.94109i) q^{12} +(-4.99596 + 2.28158i) q^{13} +(6.08214 + 2.49682i) q^{14} +(1.78801 - 2.06347i) q^{15} +(3.95178 - 0.619248i) q^{16} +(3.05609 + 1.96403i) q^{17} +(1.78783 + 0.186499i) q^{18} +(1.11353 + 1.73268i) q^{19} +(-2.57832 + 0.577967i) q^{20} +(-2.70685 - 9.21868i) q^{21} +(-4.46397 - 1.12435i) q^{22} +(-4.20285 + 2.30999i) q^{23} +(-4.31575 - 3.94241i) q^{24} +(-3.12272 + 0.916913i) q^{25} +(-3.49869 - 6.93467i) q^{26} +(1.93179 + 3.00592i) q^{27} +(-3.19421 + 8.73213i) q^{28} +(-0.0805869 + 0.125396i) q^{29} +(3.01422 + 2.41335i) q^{30} +(5.26595 - 6.07723i) q^{31} +(1.09220 + 5.55041i) q^{32} +(2.79455 + 6.11921i) q^{33} +(-2.60756 + 4.42661i) q^{34} +(1.73042 - 5.89326i) q^{35} +(-0.165325 + 2.53670i) q^{36} +(-6.57274 - 0.945018i) q^{37} +(-2.38735 + 1.66877i) q^{38} +(-4.71523 + 10.3249i) q^{39} +(-0.958408 - 3.61179i) q^{40} +(-0.661733 - 4.60245i) q^{41} +(12.8786 - 4.33166i) q^{42} +(-4.20419 + 3.64295i) q^{43} +(1.34361 - 6.37001i) q^{44} -1.67924i q^{45} +(-3.49526 - 5.81233i) q^{46} +2.17073 q^{47} +(5.33409 - 6.31539i) q^{48} +(-9.56965 - 11.0440i) q^{49} +(-1.46730 - 4.36248i) q^{50} +(7.43128 - 1.06846i) q^{51} +(9.60748 - 5.32516i) q^{52} +(-1.56586 - 0.715106i) q^{53} +(-4.14167 + 2.89505i) q^{54} +(-0.612021 + 4.25670i) q^{55} +(-12.5153 - 4.03413i) q^{56} +(4.08414 + 1.19921i) q^{57} +(-0.181630 - 0.106992i) q^{58} +(10.3139 - 4.71020i) q^{59} +(-3.24481 + 4.39213i) q^{60} +(0.788289 + 0.683056i) q^{61} +(8.87734 + 7.10767i) q^{62} +(-4.97104 - 3.19469i) q^{63} +(-7.78354 + 1.84839i) q^{64} +(-6.10427 + 3.92298i) q^{65} +(-8.49379 + 4.28530i) q^{66} +(-1.96238 - 6.68327i) q^{67} +(-6.39871 - 3.44165i) q^{68} +(-3.43804 + 9.29591i) q^{69} +(8.42311 + 2.12155i) q^{70} +(4.09570 - 1.20261i) q^{71} +(-3.59382 - 0.0942578i) q^{72} +(-5.31849 + 3.41799i) q^{73} +(0.974331 - 9.34016i) q^{74} +(-3.63636 + 5.65829i) q^{75} +(-2.48938 - 3.28199i) q^{76} +(11.4367 + 9.90995i) q^{77} +(-14.8497 - 6.09604i) q^{78} +(3.36807 + 7.37505i) q^{79} +(5.05133 - 1.55281i) q^{80} +(10.7440 + 3.15472i) q^{81} +(6.46758 - 1.18799i) q^{82} +(3.79551 + 0.545712i) q^{83} +(6.82884 + 17.9614i) q^{84} +(4.36575 + 1.99377i) q^{85} +(-5.37901 - 5.74099i) q^{86} +(0.0438403 + 0.304916i) q^{87} +(9.07557 + 1.54874i) q^{88} +(-5.49693 - 6.34379i) q^{89} +(2.37302 - 0.0922603i) q^{90} +25.5337i q^{91} +(8.02163 - 5.25865i) q^{92} -16.6186i q^{93} +(0.119263 + 3.06756i) q^{94} +(1.78195 + 2.05647i) q^{95} +(9.21763 + 7.19087i) q^{96} +(2.47737 + 17.2305i) q^{97} +(15.0810 - 14.1301i) q^{98} +(3.76347 + 1.71872i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) $ 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/184\mathbb{Z}\right)^\times$.

$n$	$47$	$93$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{5}{11}\right)$

Coefficient data

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

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

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

$2$	0.0549415	+	1.41315i	0.0388495	+	0.999245i
$2$	0.0549415	+	1.41315i	0.0388495	+	0.999245i
$3$	1.56187	−	1.35337i	0.901746	−	0.781367i	−0.0746827	−	0.997207i	$-0.523794\pi$
$3$	1.56187	−	1.35337i	0.901746	−	0.781367i	0.976429	+	0.215840i	$0.0692489\pi$
$4$	−1.99396	+	0.155281i	−0.996981	+	0.0776404i
$5$	1.30771	−	0.188020i	0.584824	−	0.0840851i	0.156449	−	0.987686i	$-0.449995\pi$
$5$	1.30771	−	0.188020i	0.584824	−	0.0840851i	0.428375	+	0.903601i	$0.359086\pi$
$6$	1.99832	+	2.13279i	0.815810	+	0.870710i
$7$	1.93127	−	4.22889i	0.729950	−	1.59837i	−0.0694612	−	0.997585i	$-0.522128\pi$
$7$	1.93127	−	4.22889i	0.729950	−	1.59837i	0.799412	−	0.600784i	$-0.205145\pi$
$8$	−0.328986	−	2.80923i	−0.116314	−	0.993212i
$9$	0.180888	−	1.25811i	0.0602961	−	0.419369i
$10$	0.337547	+	1.83765i	0.106742	+	0.581116i
$11$	−0.917064	+	3.12323i	−0.276505	+	0.941690i	0.697769	+	0.716323i	$0.254176\pi$
$11$	−0.917064	+	3.12323i	−0.276505	+	0.941690i	−0.974274	+	0.225367i	$0.927642\pi$
$12$	−2.90416	+	2.94109i	−0.838358	+	0.849021i
$13$	−4.99596	+	2.28158i	−1.38563	+	0.632796i	−0.962003	−	0.273040i	$-0.911971\pi$
$13$	−4.99596	+	2.28158i	−1.38563	+	0.632796i	−0.423628	+	0.905836i	$0.639244\pi$
$14$	6.08214	+	2.49682i	1.62552	+	0.667303i
$15$	1.78801	−	2.06347i	0.461662	−	0.532786i
$16$	3.95178	−	0.619248i	0.987944	−	0.154812i
$17$	3.05609	+	1.96403i	0.741211	+	0.476348i	0.855957	−	0.517047i	$-0.172969\pi$
$17$	3.05609	+	1.96403i	0.741211	+	0.476348i	−0.114746	+	0.993395i	$0.536605\pi$
$18$	1.78783	+	0.186499i	0.421394	+	0.0439583i
$19$	1.11353	+	1.73268i	0.255460	+	0.397504i	0.945168	−	0.326583i	$-0.105897\pi$
$19$	1.11353	+	1.73268i	0.255460	+	0.397504i	−0.689708	+	0.724088i	$0.742261\pi$
$20$	−2.57832	+	0.577967i	−0.576531	+	0.129237i
$21$	−2.70685	−	9.21868i	−0.590683	−	2.01168i
$22$	−4.46397	−	1.12435i	−0.951721	−	0.239712i
$23$	−4.20285	+	2.30999i	−0.876355	+	0.481666i
$23$	−4.20285	+	2.30999i	−0.876355	+	0.481666i
$24$	−4.31575	−	3.94241i	−0.880950	−	0.804741i
$25$	−3.12272	+	0.916913i	−0.624544	+	0.183383i
$26$	−3.49869	−	6.93467i	−0.686150	−	1.36000i
$27$	1.93179	+	3.00592i	0.371773	+	0.578490i
$28$	−3.19421	+	8.73213i	−0.603649	+	1.65022i
$29$	−0.0805869	+	0.125396i	−0.0149646	+	0.0232854i	−0.848655	−	0.528946i	$-0.822587\pi$
$29$	−0.0805869	+	0.125396i	−0.0149646	+	0.0232854i	0.833691	+	0.552232i	$0.186224\pi$
$30$	3.01422	+	2.41335i	0.550319	+	0.440615i
$31$	5.26595	−	6.07723i	0.945793	−	1.09150i	−0.0498967	−	0.998754i	$-0.515889\pi$
$31$	5.26595	−	6.07723i	0.945793	−	1.09150i	0.995690	−	0.0927488i	$-0.0295653\pi$
$32$	1.09220	+	5.55041i	0.193076	+	0.981184i
$33$	2.79455	+	6.11921i	0.486468	+	1.06522i
$34$	−2.60756	+	4.42661i	−0.447192	+	0.759158i
$35$	1.73042	−	5.89326i	0.292494	−	0.996143i
$36$	−0.165325	+	2.53670i	−0.0275542	+	0.422784i
$37$	−6.57274	−	0.945018i	−1.08055	−	0.155360i	−0.421031	−	0.907046i	$-0.638332\pi$
$37$	−6.57274	−	0.945018i	−1.08055	−	0.155360i	−0.659521	+	0.751686i	$0.729241\pi$
$38$	−2.38735	+	1.66877i	−0.387280	+	0.270710i
$39$	−4.71523	+	10.3249i	−0.755040	+	1.65331i
$40$	−0.958408	−	3.61179i	−0.151538	−	0.571075i
$41$	−0.661733	−	4.60245i	−0.103345	−	0.718783i	−0.973944	−	0.226789i	$-0.927177\pi$
$41$	−0.661733	−	4.60245i	−0.103345	−	0.718783i	0.870599	−	0.491994i	$-0.163732\pi$
$42$	12.8786	−	4.33166i	1.98722	−	0.668390i
$43$	−4.20419	+	3.64295i	−0.641133	+	0.555545i	−0.913597	−	0.406621i	$-0.866707\pi$
$43$	−4.20419	+	3.64295i	−0.641133	+	0.555545i	0.272464	+	0.962166i	$0.412161\pi$
$44$	1.34361	−	6.37001i	0.202557	−	0.960315i
$45$		−	1.67924i		−	0.250327i
$46$	−3.49526	−	5.81233i	−0.515348	−	0.856981i
$47$	2.17073			0.316633			0.158317	−	0.987388i	$-0.449393\pi$
$47$	2.17073			0.316633			0.158317	+	0.987388i	$0.449393\pi$
$48$	5.33409	−	6.31539i	0.769909	−	0.911548i
$49$	−9.56965	−	11.0440i	−1.36709	−	1.57771i
$50$	−1.46730	−	4.36248i	−0.207507	−	0.616948i
$51$	7.43128	−	1.06846i	1.04059	−	0.149614i
$52$	9.60748	−	5.32516i	1.33232	−	0.738467i
$53$	−1.56586	−	0.715106i	−0.215088	−	0.0982273i	0.304958	−	0.952366i	$-0.401358\pi$
$53$	−1.56586	−	0.715106i	−0.215088	−	0.0982273i	−0.520045	+	0.854139i	$0.674085\pi$
$54$	−4.14167	+	2.89505i	−0.563610	+	0.393967i
$55$	−0.612021	+	4.25670i	−0.0825249	+	0.573973i
$56$	−12.5153	−	4.03413i	−1.67242	−	0.539083i
$57$	4.08414	+	1.19921i	0.540957	+	0.158839i
$58$	−0.181630	−	0.106992i	−0.0238492	−	0.0140487i
$59$	10.3139	−	4.71020i	1.34275	−	0.613215i	0.391089	−	0.920353i	$-0.372098\pi$
$59$	10.3139	−	4.71020i	1.34275	−	0.613215i	0.951665	+	0.307137i	$0.0993711\pi$
$60$	−3.24481	+	4.39213i	−0.418903	+	0.567022i
$61$	0.788289	+	0.683056i	0.100930	+	0.0874564i	0.703864	−	0.710335i	$-0.251456\pi$
$61$	0.788289	+	0.683056i	0.100930	+	0.0874564i	−0.602934	+	0.797791i	$0.706002\pi$
$62$	8.87734	+	7.10767i	1.12742	+	0.902674i
$63$	−4.97104	−	3.19469i	−0.626292	−	0.402494i
$64$	−7.78354	+	1.84839i	−0.972942	+	0.231049i
$65$	−6.10427	+	3.92298i	−0.757142	+	0.486585i
$66$	−8.49379	+	4.28530i	−1.04551	+	0.527484i
$67$	−1.96238	−	6.68327i	−0.239743	−	0.816491i	−0.988182	−	0.153287i	$-0.951014\pi$
$67$	−1.96238	−	6.68327i	−0.239743	−	0.816491i	0.748438	−	0.663204i	$-0.230804\pi$
$68$	−6.39871	−	3.44165i	−0.775958	−	0.417362i
$69$	−3.43804	+	9.29591i	−0.413892	+	1.11910i
$70$	8.42311	+	2.12155i	1.00675	+	0.253573i
$71$	4.09570	−	1.20261i	0.486071	−	0.142723i	−0.0295097	−	0.999564i	$-0.509395\pi$
$71$	4.09570	−	1.20261i	0.486071	−	0.142723i	0.515580	+	0.856841i	$0.327576\pi$
$72$	−3.59382	−	0.0942578i	−0.423535	−	0.0111084i
$73$	−5.31849	+	3.41799i	−0.622482	+	0.400045i	−0.813519	−	0.581538i	$-0.802451\pi$
$73$	−5.31849	+	3.41799i	−0.622482	+	0.400045i	0.191037	+	0.981583i	$0.438815\pi$
$74$	0.974331	−	9.34016i	0.113264	−	1.08577i
$75$	−3.63636	+	5.65829i	−0.419891	+	0.653363i
$76$	−2.48938	−	3.28199i	−0.285552	−	0.376470i
$77$	11.4367	+	9.90995i	1.30333	+	1.12934i
$78$	−14.8497	−	6.09604i	−1.68139	−	0.690240i
$79$	3.36807	+	7.37505i	0.378938	+	0.829758i	0.998978	+	0.0451884i	$0.0143888\pi$
$79$	3.36807	+	7.37505i	0.378938	+	0.829758i	−0.620041	+	0.784570i	$0.712884\pi$
$80$	5.05133	−	1.55281i	0.564756	−	0.173609i
$81$	10.7440	+	3.15472i	1.19378	+	0.350525i
$82$	6.46758	−	1.18799i	0.714225	−	0.131192i
$83$	3.79551	+	0.545712i	0.416611	+	0.0598996i	0.347433	−	0.937705i	$-0.387053\pi$
$83$	3.79551	+	0.545712i	0.416611	+	0.0598996i	0.0691778	+	0.997604i	$0.477962\pi$
$84$	6.82884	+	17.9614i	0.745088	+	1.95975i
$85$	4.36575	+	1.99377i	0.473532	+	0.216255i
$86$	−5.37901	−	5.74099i	−0.580033	−	0.619066i
$87$	0.0438403	+	0.304916i	0.00470017	+	0.0326904i
$88$	9.07557	+	1.54874i	0.967459	+	0.165097i
$89$	−5.49693	−	6.34379i	−0.582673	−	0.672440i	0.385504	−	0.922706i	$-0.374027\pi$
$89$	−5.49693	−	6.34379i	−0.582673	−	0.672440i	−0.968177	+	0.250266i	$0.919482\pi$
$90$	2.37302	−	0.0922603i	0.250138	−	0.00972508i
$91$			25.5337i			2.67666i
$92$	8.02163	−	5.25865i	0.836313	−	0.548253i
$93$		−	16.6186i		−	1.72327i
$94$	0.119263	+	3.06756i	0.0123011	+	0.316394i
$95$	1.78195	+	2.05647i	0.182824	+	0.210990i
$96$	9.21763	+	7.19087i	0.940771	+	0.733915i
$97$	2.47737	+	17.2305i	0.251538	+	1.74949i	0.588986	+	0.808144i	$0.299527\pi$
$97$	2.47737	+	17.2305i	0.251538	+	1.74949i	−0.337447	+	0.941344i	$0.609563\pi$
$98$	15.0810	−	14.1301i	1.52341	−	1.42735i
$99$	3.76347	+	1.71872i	0.378243	+	0.172738i
$100$	6.08421	−	2.31319i	0.608421	−	0.231319i
$101$	6.37368	+	0.916397i	0.634205	+	0.0911849i	0.451917	−	0.892060i	$-0.350740\pi$
$101$	6.37368	+	0.916397i	0.634205	+	0.0911849i	0.182288	+	0.983245i	$0.441650\pi$
$102$	1.91817	+	10.4428i	0.189927	+	1.03399i
$103$	−11.7000	−	3.43544i	−1.15284	−	0.338504i	−0.351194	−	0.936303i	$-0.614224\pi$
$103$	−11.7000	−	3.43544i	−1.15284	−	0.338504i	−0.801646	+	0.597798i	$0.796042\pi$
$104$	8.05308	+	13.2842i	0.789669	+	1.30262i
$105$	−5.27306	−	11.5464i	−0.514598	−	1.12681i
$106$	0.924518	−	2.25208i	0.0897971	−	0.218741i
$107$	−9.79025	−	8.48330i	−0.946459	−	0.820112i	0.0373552	−	0.999302i	$-0.488107\pi$
$107$	−9.79025	−	8.48330i	−0.946459	−	0.820112i	−0.983814	+	0.179191i	$0.942652\pi$
$108$	−4.31868	−	5.69373i	−0.415565	−	0.547880i
$109$	−0.511817	+	0.796403i	−0.0490232	+	0.0762816i	−0.864900	−	0.501944i	$-0.832618\pi$
$109$	−0.511817	+	0.796403i	−0.0490232	+	0.0762816i	0.815877	+	0.578226i	$0.196255\pi$
$110$	−6.04896	−	0.631005i	−0.576746	−	0.0601640i
$111$	−11.5447	+	7.41934i	−1.09578	+	0.704213i
$112$	5.01321	−	17.9075i	0.473703	−	1.69210i
$113$	5.20573	−	1.52854i	0.489714	−	0.143793i	−0.0275476	−	0.999620i	$-0.508770\pi$
$113$	5.20573	−	1.52854i	0.489714	−	0.143793i	0.517261	+	0.855828i	$0.326952\pi$
$114$	−1.47027	+	5.83737i	−0.137704	+	0.546720i
$115$	−5.06177	+	3.81101i	−0.472013	+	0.355378i
$116$	0.141216	−	0.262548i	0.0131116	−	0.0243770i
$117$	1.96676	+	6.69816i	0.181827	+	0.619245i
$118$	7.22286	+	14.3163i	0.664918	+	1.31792i
$119$	14.2078	−	9.13079i	1.30243	−	0.837019i
$120$	−6.38499	−	4.34407i	−0.582868	−	0.396558i
$121$	0.340219	+	0.218645i	0.0309290	+	0.0198768i
$122$	−0.921949	+	1.15150i	−0.0834693	+	0.104252i
$123$	−7.26235	−	6.29287i	−0.654824	−	0.567409i
$124$	−9.55643	+	12.9355i	−0.858193	+	1.16164i
$125$	−9.92003	+	4.53032i	−0.887274	+	0.405205i
$126$	4.24145	−	7.20033i	0.377859	−	0.641456i
$127$	0.354005	+	0.103945i	0.0314129	+	0.00922366i	0.297401	−	0.954753i	$-0.403880\pi$
$127$	0.354005	+	0.103945i	0.0314129	+	0.00922366i	−0.265988	+	0.963976i	$0.585698\pi$
$128$	−3.03969	−	10.8977i	−0.268673	−	0.963231i
$129$	−1.63614	+	11.3796i	−0.144054	+	1.00192i
$130$	−5.87912	−	8.41069i	−0.515633	−	0.737667i
$131$	−3.04328	−	1.38982i	−0.265893	−	0.121429i	0.278008	−	0.960579i	$-0.410326\pi$
$131$	−3.04328	−	1.38982i	−0.265893	−	0.121429i	−0.543901	+	0.839150i	$0.683053\pi$
$132$	−6.52242	−	11.7675i	−0.567704	−	1.02423i
$133$	9.47783	−	1.36271i	0.821832	−	0.118162i
$134$	9.33662	−	3.14032i	0.806561	−	0.271283i
$135$	3.09139	+	3.56765i	0.266064	+	0.307055i
$136$	4.51200	−	9.23140i	0.386901	−	0.791586i
$137$	12.1856			1.04108			0.520542	−	0.853836i	$-0.325730\pi$
$137$	12.1856			1.04108			0.520542	+	0.853836i	$0.325730\pi$
$138$	−13.3254	−	4.34772i	−1.13433	−	0.370103i
$139$		−	10.9900i		−	0.932160i	−0.884743	−	0.466080i	$-0.845666\pi$
$139$		−	10.9900i		−	0.932160i	0.884743	−	0.466080i	$-0.154334\pi$
$140$	−2.53528	+	12.0196i	−0.214270	+	1.01585i
$141$	3.39040	−	2.93780i	0.285523	−	0.247407i
$142$	1.92448	+	5.72175i	0.161499	+	0.480159i
$143$	−2.54429	−	17.6959i	−0.212764	−	1.47981i
$144$	−0.0642497	−	5.08377i	−0.00535414	−	0.423647i
$145$	−0.0818072	+	0.179133i	−0.00679372	+	0.0148762i
$146$	−5.12232	−	7.32802i	−0.423926	−	0.606471i
$147$	−29.8931	−	4.29798i	−2.46554	−	0.354491i
$148$	13.2525	+	0.863710i	1.08935	+	0.0709965i
$149$	1.30512	−	4.44483i	0.106920	−	0.364135i	−0.888601	−	0.458681i	$-0.848322\pi$
$149$	1.30512	−	4.44483i	0.106920	−	0.364135i	0.995520	+	0.0945465i	$0.0301401\pi$
$150$	−8.19577	−	4.82783i	−0.669182	−	0.394191i
$151$	−7.15579	−	15.6690i	−0.582330	−	1.27512i	−0.939968	−	0.341264i	$-0.889145\pi$
$151$	−7.15579	−	15.6690i	−0.582330	−	1.27512i	0.357638	−	0.933860i	$-0.383582\pi$
$152$	4.50116	−	3.69818i	0.365093	−	0.299962i
$153$	3.02377	−	3.48962i	0.244457	−	0.282119i
$154$	−13.3759	+	16.7062i	−1.07786	+	1.34622i
$155$	5.74368	−	8.93734i	0.461344	−	0.717865i
$156$	7.79873	−	21.3197i	0.624398	−	1.70694i
$157$	2.38160	+	3.70585i	0.190073	+	0.295759i	0.923190	−	0.384343i	$-0.125572\pi$
$157$	2.38160	+	3.70585i	0.190073	+	0.295759i	−0.733118	+	0.680102i	$0.761936\pi$
$158$	−10.2370	+	5.16478i	−0.814410	+	0.410887i
$159$	−3.41348	+	1.00229i	−0.270706	+	0.0794865i
$160$	2.47187	+	7.05296i	0.195419	+	0.557585i
$161$	1.65185	+	22.2346i	0.130184	+	1.75233i
$162$	−3.86779	+	15.3562i	−0.303882	+	1.20649i
$163$	−6.69156	−	22.7894i	−0.524123	−	1.78500i	−0.614298	−	0.789074i	$-0.710561\pi$
$163$	−6.69156	−	22.7894i	−0.524123	−	1.78500i	0.0901744	−	0.995926i	$-0.471258\pi$
$164$	2.03414	+	9.07437i	0.158840	+	0.708589i
$165$	4.80498	+	7.47670i	0.374067	+	0.582060i
$166$	−0.562639	+	5.39359i	−0.0436693	+	0.418624i
$167$	4.10239	+	2.63645i	0.317453	+	0.204014i	0.689657	−	0.724136i	$-0.257761\pi$
$167$	4.10239	+	2.63645i	0.317453	+	0.204014i	−0.372204	+	0.928151i	$0.621398\pi$
$168$	−25.0069	+	10.6370i	−1.92932	+	0.820661i
$169$	11.2408	−	12.9726i	0.864680	−	0.997894i
$170$	−2.57763	+	6.27898i	−0.197695	+	0.481576i
$171$	2.38132	−	1.08751i	0.182104	−	0.0831641i
$172$	7.81732	−	7.91674i	0.596065	−	0.603646i
$173$	−3.43944	+	11.7137i	−0.261496	+	0.890573i	0.719162	+	0.694843i	$0.244526\pi$
$173$	−3.43944	+	11.7137i	−0.261496	+	0.890573i	−0.980658	+	0.195731i	$0.937292\pi$
$174$	−0.428482	+	0.0787052i	−0.0324831	+	0.00596663i
$175$	−2.15328	+	14.9764i	−0.162773	+	1.13211i
$176$	−1.68997	+	12.9102i	−0.127387	+	0.973143i
$177$	9.73433	−	21.3152i	0.731677	−	1.60215i
$178$	8.66269	−	8.11650i	0.649296	−	0.608357i
$179$	21.0854	−	3.03163i	1.57600	−	0.226594i	0.701876	−	0.712299i	$-0.252346\pi$
$179$	21.0854	−	3.03163i	1.57600	−	0.226594i	0.874123	+	0.485705i	$0.161437\pi$
$180$	0.260754	+	3.34835i	0.0194355	+	0.249571i
$181$	11.6255	−	10.0735i	0.864115	−	0.748760i	−0.105234	−	0.994447i	$-0.533559\pi$
$181$	11.6255	−	10.0735i	0.864115	−	0.748760i	0.969349	+	0.245688i	$0.0790137\pi$
$182$	−36.0828	+	1.40286i	−2.67464	+	0.103987i
$183$	2.15563			0.159349
$184$	7.87197	+	11.0468i	0.580329	+	0.814382i
$185$	−8.77290			−0.644997
$186$	23.4845	−	0.913052i	1.72197	−	0.0669482i
$187$	−8.93675	+	7.74374i	−0.653520	+	0.566278i
$188$	−4.32835	+	0.337072i	−0.315678	+	0.0245835i
$189$	16.4425	−	2.36408i	1.19602	−	0.171961i
$190$	−2.80820	+	2.63113i	−0.203728	+	0.190883i
$191$	−7.99315	+	17.5026i	−0.578364	+	1.26644i	0.363859	+	0.931454i	$0.381459\pi$
$191$	−7.99315	+	17.5026i	−0.578364	+	1.26644i	−0.942223	+	0.334986i	$0.891268\pi$
$192$	−9.65532	+	13.4209i	−0.696813	+	0.968573i
$193$	−0.0340978	+	0.237156i	−0.00245442	+	0.0170708i	−0.991012	−	0.133774i	$-0.957290\pi$
$193$	−0.0340978	+	0.237156i	−0.00245442	+	0.0170708i	0.988557	+	0.150845i	$0.0481994\pi$
$194$	−24.2130	+	4.44755i	−1.73840	+	0.319315i
$195$	−4.22485	+	14.3885i	−0.302548	+	1.03038i
$196$	20.7964	+	20.5353i	1.48546	+	1.46681i
$197$	−12.9836	+	5.92940i	−0.925042	+	0.422452i	−0.820226	−	0.572039i	$-0.806153\pi$
$197$	−12.9836	+	5.92940i	−0.925042	+	0.422452i	−0.104816	+	0.994492i	$0.533425\pi$
$198$	−2.22203	+	5.41276i	−0.157913	+	0.384668i
$199$	10.3270	−	11.9180i	0.732064	−	0.844847i	−0.260638	−	0.965436i	$-0.583933\pi$
$199$	10.3270	−	11.9180i	0.732064	−	0.844847i	0.992702	+	0.120590i	$0.0384785\pi$
$200$	3.60315	+	8.47078i	0.254781	+	0.598975i
$201$	−12.1099	−	7.78257i	−0.854167	−	0.548940i
$202$	−0.944823	+	9.05729i	−0.0664775	+	0.637269i
$203$	0.374649	+	0.582966i	0.0262952	+	0.0409162i
$204$	−14.6518	+	3.28440i	−1.02583	+	0.229954i
$205$	−1.73071	−	5.89424i	−0.120878	−	0.411672i
$206$	4.21197	−	16.7226i	0.293462	−	1.16512i
$207$	2.14596	+	5.70548i	0.149155	+	0.396558i
$208$	−18.3301	+	12.1100i	−1.27096	+	0.839679i
$209$	−6.43274	+	1.88882i	−0.444962	+	0.130653i
$210$	16.0270	−	8.08599i	1.10597	−	0.557986i
$211$	−6.22132	−	9.68056i	−0.428293	−	0.666437i	0.558299	−	0.829640i	$-0.311454\pi$
$211$	−6.22132	−	9.68056i	−0.428293	−	0.666437i	−0.986593	+	0.163202i	$0.947818\pi$
$212$	3.23331	+	1.18275i	0.222065	+	0.0812313i
$213$	4.76939	−	7.42131i	0.326793	−	0.508500i
$214$	11.4502	−	14.3011i	0.782723	−	0.977606i
$215$	−4.81290	+	5.55439i	−0.328237	+	0.378806i
$216$	7.80880	−	6.41575i	0.531321	−	0.436536i
$217$	−15.5300	−	34.0059i	−1.05424	−	2.30847i
$218$	−1.15355	−	0.679517i	−0.0781285	−	0.0460227i
$219$	−3.68100	+	12.5363i	−0.248739	+	0.847127i
$220$	0.559363	−	8.58273i	0.0377123	−	0.578648i
$221$	−19.7492	−	2.83951i	−1.32848	−	0.191006i
$222$	−11.1189	−	15.9068i	−0.746252	−	1.06759i
$223$	2.23447	−	4.89280i	0.149631	−	0.327646i	−0.819943	−	0.572445i	$-0.805995\pi$
$223$	2.23447	−	4.89280i	0.149631	−	0.327646i	0.969574	+	0.244799i	$0.0787221\pi$
$224$	25.5814	+	6.10052i	1.70923	+	0.407608i
$225$	0.588710	+	4.09457i	0.0392473	+	0.272971i
$226$	2.44606	+	7.27247i	0.162709	+	0.483758i
$227$	5.60075	−	4.85307i	0.371735	−	0.322110i	−0.448880	−	0.893592i	$-0.648177\pi$
$227$	5.60075	−	4.85307i	0.371735	−	0.322110i	0.820614	+	0.571482i	$0.193631\pi$
$228$	−8.32984	−	1.75699i	−0.551657	−	0.116360i
$229$			9.88644i			0.653314i	0.945143	+	0.326657i	$0.105922\pi$
$229$			9.88644i			0.653314i	−0.945143	+	0.326657i	$0.894078\pi$
$230$	−5.66361	−	6.94364i	−0.373448	−	0.457850i
$231$	31.2744			2.05771
$232$	0.378777	+	0.185134i	0.0248679	+	0.0121546i
$233$	−5.26267	−	6.07344i	−0.344769	−	0.397884i	0.556710	−	0.830707i	$-0.312063\pi$
$233$	−5.26267	−	6.07344i	−0.344769	−	0.397884i	−0.901479	+	0.432822i	$0.857518\pi$
$234$	−9.35742	+	3.14732i	−0.611714	+	0.205747i
$235$	2.83868	−	0.408140i	0.185175	−	0.0266241i
$236$	−19.8341	+	10.9935i	−1.29109	+	0.715616i
$237$	15.2417	+	6.96063i	0.990052	+	0.452141i
$238$	13.6837	+	19.5760i	0.886985	+	1.26893i
$239$	0.292625	−	2.03525i	0.0189284	−	0.131650i	−0.978166	−	0.207825i	$-0.933362\pi$
$239$	0.292625	−	2.03525i	0.0189284	−	0.131650i	0.997094	+	0.0761750i	$0.0242708\pi$
$240$	5.78801	−	9.26160i	0.373614	−	0.597834i
$241$	−8.25098	−	2.42271i	−0.531492	−	0.156060i	0.00496497	−	0.999988i	$-0.498420\pi$
$241$	−8.25098	−	2.42271i	−0.531492	−	0.156060i	−0.536457	+	0.843927i	$0.680238\pi$
$242$	−0.290286	+	0.492791i	−0.0186603	+	0.0316778i
$243$	11.2995	−	5.16030i	0.724862	−	0.331033i
$244$	−1.67788	−	1.23958i	−0.107416	−	0.0793562i
$245$	−14.5908	−	12.6430i	−0.932171	−	0.807731i
$246$	8.49373	−	10.6085i	0.541541	−	0.676374i
$247$	−9.51638	−	6.11581i	−0.605513	−	0.389140i
$248$	−18.8048	−	12.7939i	−1.19410	−	0.812416i
$249$	6.66664	−	4.28439i	0.422481	−	0.271512i
$250$	−6.94703	−	13.7695i	−0.439369	−	0.870862i
$251$	−0.580420	−	1.97673i	−0.0366358	−	0.124770i	0.939145	−	0.343521i	$-0.111620\pi$
$251$	−0.580420	−	1.97673i	−0.0366358	−	0.124770i	−0.975781	+	0.218751i	$0.929802\pi$
$252$	10.4081	+	5.59820i	0.655652	+	0.352653i
$253$	−3.36035	−	15.2449i	−0.211263	−	0.958438i
$254$	−0.127440	+	0.505972i	−0.00799632	+	0.0317475i
$255$	9.51704	−	2.79446i	0.595980	−	0.174996i
$256$	15.2331	−	4.89426i	0.952066	−	0.305891i
$257$	20.1251	−	12.9336i	1.25537	−	0.806777i	0.267726	−	0.963495i	$-0.413728\pi$
$257$	20.1251	−	12.9336i	1.25537	−	0.806777i	0.987643	+	0.156718i	$0.0500913\pi$
$258$	−16.1710	−	1.68690i	−1.00676	−	0.105022i
$259$	−16.6901	+	25.9703i	−1.03707	+	1.61372i
$260$	11.5625	−	8.77015i	0.717078	−	0.543901i
$261$	0.143184	+	0.124070i	0.00886286	+	0.00767971i
$262$	1.79682	−	4.37696i	0.111008	−	0.270410i
$263$	11.1950	+	24.5137i	0.690316	+	1.51158i	0.851330	+	0.524630i	$0.175796\pi$
$263$	11.1950	+	24.5137i	0.690316	+	1.51158i	−0.161014	+	0.986952i	$0.551476\pi$
$264$	16.2709	−	9.86366i	1.00140	−	0.607066i
$265$	−2.18214	−	0.640735i	−0.134048	−	0.0393601i
$266$	2.44643	+	13.3187i	0.150000	+	0.816621i
$267$	−17.1710	−	2.46881i	−1.05085	−	0.151089i
$268$	4.95070	+	13.0215i	0.302412	+	0.795413i
$269$	−1.55248	−	0.708995i	−0.0946565	−	0.0432282i	0.367524	−	0.930014i	$-0.380206\pi$
$269$	−1.55248	−	0.708995i	−0.0946565	−	0.0432282i	−0.462181	+	0.886786i	$0.652933\pi$
$270$	−4.87177	+	4.56460i	−0.296486	+	0.277793i
$271$	2.41340	+	16.7856i	0.146604	+	1.01965i	0.921727	+	0.387840i	$0.126779\pi$
$271$	2.41340	+	16.7856i	0.146604	+	1.01965i	−0.775123	+	0.631810i	$0.782312\pi$
$272$	13.2932	+	5.86893i	0.806019	+	0.355856i
$273$	34.5565	+	39.8803i	2.09145	+	2.41367i
$274$	0.669494	+	17.2200i	0.0404456	+	1.04030i
$275$		−	10.5938i		−	0.638833i
$276$	5.41185	−	19.0696i	0.325755	−	1.14785i
$277$		−	3.87012i		−	0.232533i	−0.993218	−	0.116266i	$-0.962907\pi$
$277$		−	3.87012i		−	0.232533i	0.993218	−	0.116266i	$-0.0370926\pi$
$278$	15.5305	−	0.603808i	0.931456	−	0.0362140i
$279$	−6.69325	−	7.72443i	−0.400715	−	0.462449i
$280$	−17.1248	−	2.92234i	−1.02340	−	0.174643i
$281$	3.83410	+	26.6668i	0.228723	+	1.59081i	0.703497	+	0.710699i	$0.251621\pi$
$281$	3.83410	+	26.6668i	0.228723	+	1.59081i	−0.474773	+	0.880108i	$0.657470\pi$
$282$	4.33781	+	4.62972i	0.258313	+	0.275696i
$283$	−5.15847	−	2.35579i	−0.306639	−	0.140037i	0.256152	−	0.966636i	$-0.417545\pi$
$283$	−5.15847	−	2.35579i	−0.306639	−	0.140037i	−0.562791	+	0.826599i	$0.690272\pi$
$284$	−7.97994	+	3.03394i	−0.473522	+	0.180031i
$285$	5.56633	+	0.800318i	0.329721	+	0.0474067i
$286$	24.8671	−	4.56769i	1.47042	−	0.270093i
$287$	−20.7412	−	6.09018i	−1.22432	−	0.359492i
$288$	7.18057	−	0.370104i	0.423119	−	0.0218086i
$289$	−1.57977	−	3.45922i	−0.0929279	−	0.203484i
$290$	−0.257635	−	0.105764i	−0.0151289	−	0.00621066i
$291$	27.1885	+	23.5589i	1.59382	+	1.38105i
$292$	10.0741	−	7.64120i	0.589544	−	0.447167i
$293$	−12.0938	+	18.8183i	−0.706528	+	1.09938i	0.283563	+	0.958954i	$0.408483\pi$
$293$	−12.0938	+	18.8183i	−0.706528	+	1.09938i	−0.990091	+	0.140426i	$0.955153\pi$
$294$	4.43130	−	42.4795i	0.258439	−	2.47745i
$295$	12.6019	−	8.09878i	0.733713	−	0.471529i
$296$	−0.492433	+	18.7752i	−0.0286221	+	1.09129i
$297$	−11.1598	+	3.27680i	−0.647556	+	0.190139i
$298$	6.35290	+	1.60012i	0.368014	+	0.0926925i
$299$	15.7269	−	21.1297i	0.909508	−	1.22196i
$300$	6.37214	−	11.8471i	0.367896	−	0.683991i
$301$	7.28621	+	24.8146i	0.419970	+	1.43029i
$302$	21.7494	−	10.9730i	1.25154	−	0.631428i
$303$	11.1951	−	7.19464i	0.643141	−	0.413322i
$304$	5.47337	+	6.15762i	0.313919	+	0.353164i
$305$	1.15928	+	0.745024i	0.0663802	+	0.0426599i
$306$	5.09747	+	4.08130i	0.291403	+	0.233313i
$307$	9.52161	+	8.25053i	0.543427	+	0.470882i	0.882786	−	0.469774i	$-0.155665\pi$
$307$	9.52161	+	8.25053i	0.543427	+	0.470882i	−0.339359	+	0.940657i	$0.610210\pi$
$308$	−24.3432	−	17.9842i	−1.38708	−	1.02474i
$309$	−22.9234	+	10.4688i	−1.30407	+	0.595547i
$310$	12.9453	+	7.62563i	0.735246	+	0.433107i
$311$	−27.9339	−	8.20213i	−1.58398	−	0.465100i	−0.632952	−	0.774191i	$-0.718157\pi$
$311$	−27.9339	−	8.20213i	−1.58398	−	0.465100i	−0.951032	+	0.309091i	$0.899975\pi$
$312$	30.5563	+	9.84940i	1.72991	+	0.557613i
$313$	0.965667	−	6.71636i	0.0545827	−	0.379631i	−0.944159	−	0.329489i	$-0.893124\pi$
$313$	0.965667	−	6.71636i	0.0545827	−	0.379631i	0.998742	−	0.0501420i	$-0.0159674\pi$
$314$	−5.10605	+	3.56916i	−0.288151	+	0.201419i
$315$	−7.10133	−	3.24307i	−0.400115	−	0.182726i
$316$	−7.86102	−	14.1826i	−0.442217	−	0.797833i
$317$	3.80052	−	0.546432i	0.213458	−	0.0306907i	−0.0347559	−	0.999396i	$-0.511065\pi$
$317$	3.80052	−	0.546432i	0.213458	−	0.0306907i	0.248214	+	0.968705i	$0.420156\pi$
$318$	−1.60392	−	4.76867i	−0.0899433	−	0.267414i
$319$	−0.317737	−	0.366688i	−0.0177898	−	0.0205306i
$320$	−9.83105	+	3.88062i	−0.549573	+	0.216933i
$321$	−26.7721			−1.49427
$322$	−31.3299	+	3.55591i	−1.74595	+	0.198163i
$323$			7.48223i			0.416323i
$324$	−21.9130	−	4.62206i	−1.21739	−	0.256781i
$325$	13.5090	−	11.7056i	0.749343	−	0.649309i
$326$	31.8370	−	10.7082i	1.76329	−	0.593074i
$327$	0.278435	+	1.93656i	0.0153975	+	0.107092i
$328$	−12.7116	+	3.37310i	−0.701883	+	0.186248i
$329$	4.19226	−	9.17976i	0.231127	−	0.506097i
$330$	−10.3017	+	7.20092i	−0.567089	+	0.396398i
$331$	32.6993	+	4.70145i	1.79732	+	0.258415i	0.958315	−	0.285714i	$-0.0922307\pi$
$331$	32.6993	+	4.70145i	1.79732	+	0.258415i	0.839002	+	0.544129i	$0.183140\pi$
$332$	−7.65284	−	0.498759i	−0.420004	−	0.0273730i
$333$	−2.37786	+	8.09826i	−0.130306	+	0.443782i
$334$	−3.50029	+	5.94213i	−0.191528	+	0.325139i
$335$	−3.82281	−	8.37079i	−0.208863	−	0.457345i
$336$	−16.4055	−	34.7540i	−0.894994	−	1.89598i
$337$	−15.6826	+	18.0987i	−0.854286	+	0.985899i	−0.999994	−	0.00342903i	$-0.998909\pi$
$337$	−15.6826	+	18.0987i	−0.854286	+	0.985899i	0.145708	+	0.989328i	$0.453454\pi$
$338$	18.9498	+	15.1722i	1.03073	+	0.825259i
$339$	6.06199	−	9.43264i	0.329242	−	0.512311i
$340$	−9.01474	−	3.29759i	−0.488893	−	0.178837i
$341$	14.1514	+	22.0200i	0.766341	+	1.19245i
$342$	1.66765	+	3.30540i	0.0901760	+	0.178736i
$343$	−33.9604	+	9.97168i	−1.83369	+	0.538420i
$344$	11.6170	+	10.6121i	0.626347	+	0.572164i
$345$	−2.74814	+	12.8027i	−0.147955	+	0.689277i
$346$	−16.7421	−	4.21687i	−0.900060	−	0.226700i
$347$	4.06310	+	13.8376i	0.218118	+	0.742843i	0.993747	+	0.111654i	$0.0356147\pi$
$347$	4.06310	+	13.8376i	0.218118	+	0.742843i	−0.775629	+	0.631189i	$0.782567\pi$
$348$	−0.134763	−	0.601183i	−0.00722407	−	0.0322268i
$349$	−20.1194	−	31.3063i	−1.07696	−	1.67579i	−0.613582	−	0.789631i	$-0.710272\pi$
$349$	−20.1194	−	31.3063i	−1.07696	−	1.67579i	−0.463382	−	0.886158i	$-0.653364\pi$
$350$	−21.2822	−	2.22008i	−1.13758	−	0.118668i
$351$	−16.5094	−	10.6099i	−0.881207	−	0.566317i
$352$	−18.3368	−	1.67887i	−0.977357	−	0.0894843i
$353$	−9.04476	+	10.4382i	−0.481404	+	0.555570i	−0.943548	−	0.331235i	$-0.892535\pi$
$353$	−9.04476	+	10.4382i	−0.481404	+	0.555570i	0.462144	+	0.886805i	$0.347080\pi$
$354$	30.6563	+	12.5849i	1.62937	+	0.668882i
$355$	5.12987	−	2.34273i	0.272265	−	0.124339i
$356$	11.9457	+	11.7957i	0.633123	+	0.625172i
$357$	9.83340	−	33.4895i	0.520439	−	1.77245i
$358$	5.44260	+	29.6302i	0.287650	+	1.56601i
$359$	−1.35324	+	9.41201i	−0.0714214	+	0.496747i	0.922442	+	0.386135i	$0.126190\pi$
$359$	−1.35324	+	9.41201i	−0.0714214	+	0.496747i	−0.993864	+	0.110612i	$0.964719\pi$
$360$	−4.71738	+	0.552448i	−0.248628	+	0.0291165i
$361$	6.13064	−	13.4242i	0.322665	−	0.706539i
$362$	14.8741	+	15.8750i	0.781765	+	0.834374i
$363$	0.827285	−	0.118946i	0.0434212	−	0.00624303i
$364$	−3.96489	−	50.9132i	−0.207817	−	2.66858i
$365$	−6.31238	+	5.46971i	−0.330405	+	0.286298i
$366$	0.118434	+	3.04622i	0.00619063	+	0.159229i
$367$	15.5644			0.812455			0.406228	−	0.913772i	$-0.366844\pi$
$367$	15.5644			0.812455			0.406228	+	0.913772i	$0.366844\pi$
$368$	−15.1783	+	11.7312i	−0.791222	+	0.611529i
$369$	−5.91007			−0.307666
$370$	−0.481997	−	12.3974i	−0.0250578	−	0.644510i
$371$	−6.04820	+	5.24079i	−0.314007	+	0.272088i
$372$	2.58055	+	33.1369i	0.133795	+	1.71807i
$373$	−14.9484	+	2.14926i	−0.774001	+	0.111285i	−0.517987	−	0.855388i	$-0.673318\pi$
$373$	−14.9484	+	2.14926i	−0.774001	+	0.111285i	−0.256014	+	0.966673i	$0.582409\pi$
$374$	−11.4340	−	12.2035i	−0.591240	−	0.631027i
$375$	−9.36260	+	20.5012i	−0.483482	+	1.05868i
$376$	−0.714139	−	6.09808i	−0.0368289	−	0.314484i
$377$	0.116509	−	0.810338i	0.00600052	−	0.0417345i
$378$	4.24416	+	23.1058i	0.218296	+	1.18843i
$379$	2.43021	−	8.27655i	0.124832	−	0.425138i	−0.873234	−	0.487301i	$-0.837982\pi$
$379$	2.43021	−	8.27655i	0.124832	−	0.425138i	0.998066	+	0.0621628i	$0.0197998\pi$
$380$	−3.87246	−	3.82383i	−0.198653	−	0.196158i
$381$	0.693587	−	0.316751i	0.0355335	−	0.0162276i
$382$	−25.1728	−	10.3339i	−1.28795	−	0.528727i
$383$	16.7291	−	19.3064i	0.854815	−	0.986509i	−0.145181	−	0.989405i	$-0.546377\pi$
$383$	16.7291	−	19.3064i	0.854815	−	0.986509i	0.999996	+	0.00289649i	$0.000921982\pi$
$384$	−19.4962	−	12.9070i	−0.994913	−	0.658658i
$385$	16.8191	+	10.8090i	0.857181	+	0.550877i
$386$	−0.337009	−	0.0351555i	−0.0171533	−	0.00178937i
$387$	3.82273	+	5.94828i	0.194320	+	0.302368i
$388$	−7.61533	−	33.9722i	−0.386610	−	1.72468i
$389$	0.0160683	+	0.0547237i	0.000814697	+	0.00277460i	0.959899	−	0.280345i	$-0.0904489\pi$
$389$	0.0160683	+	0.0547237i	0.000814697	+	0.00277460i	−0.959085	+	0.283120i	$0.908631\pi$
$390$	−20.5652	−	5.17980i	−1.04136	−	0.262289i
$391$	−17.3812	−	1.19499i	−0.879004	−	0.0604333i
$392$	−27.8768	+	30.5167i	−1.40799	+	1.54132i
$393$	−6.63415	+	1.94796i	−0.334649	+	0.0982617i
$394$	−9.09245	−	18.0219i	−0.458071	−	0.907932i
$395$	5.79111	+	9.01114i	0.291382	+	0.453400i
$396$	−7.77110	−	2.84267i	−0.390513	−	0.142849i
$397$	−0.621609	+	0.967242i	−0.0311976	+	0.0485445i	−0.856502	−	0.516144i	$-0.827367\pi$
$397$	−0.621609	+	0.967242i	−0.0311976	+	0.0485445i	0.825304	+	0.564688i	$0.191003\pi$
$398$	17.4093	+	13.9388i	0.872649	+	0.698689i
$399$	12.9589	−	14.9554i	0.648756	−	0.748704i
$400$	−11.7725	+	5.55717i	−0.588624	+	0.277859i
$401$	14.9916	+	32.8270i	0.748645	+	1.63930i	0.768785	+	0.639507i	$0.220862\pi$
$401$	14.9916	+	32.8270i	0.748645	+	1.63930i	−0.0201400	+	0.999797i	$0.506411\pi$
$402$	10.3326	−	17.5407i	0.515342	−	0.874848i
$403$	−12.4428	+	42.3763i	−0.619820	+	2.11091i
$404$	−12.8512	−	0.837552i	−0.639370	−	0.0416697i
$405$	14.6432	+	2.10537i	0.727624	+	0.104617i
$406$	−0.803232	+	0.561463i	−0.0398637	+	0.0278649i
$407$	8.97913	−	19.6616i	0.445079	−	0.974587i
$408$	−5.44632	−	20.5246i	−0.269633	−	1.01612i
$409$	1.60020	+	11.1297i	0.0791250	+	0.550327i	0.990368	+	0.138458i	$0.0442146\pi$
$409$	1.60020	+	11.1297i	0.0791250	+	0.550327i	−0.911243	+	0.411869i	$0.864876\pi$
$410$	8.23434	−	2.76958i	0.406665	−	0.136780i
$411$	19.0323	−	16.4916i	0.938793	−	0.813469i
$412$	23.8629	+	5.03336i	1.17564	+	0.247976i
$413$		−	52.7129i		−	2.59383i
$414$	−7.94477	+	3.34603i	−0.390464	+	0.164448i
$415$	5.06602			0.248681
$416$	−18.1203	−	25.2377i	−0.888422	−	1.23738i
$417$	−14.8735	−	17.1650i	−0.728359	−	0.840572i
$418$	−3.02261	−	8.98662i	−0.147840	−	0.439550i
$419$	−14.4310	+	2.07486i	−0.704998	+	0.101363i	−0.485484	−	0.874246i	$-0.661357\pi$
$419$	−14.4310	+	2.07486i	−0.704998	+	0.101363i	−0.219515	+	0.975609i	$0.570447\pi$
$420$	12.3072	+	22.2043i	0.600531	+	1.08346i
$421$	26.0719	+	11.9066i	1.27067	+	0.580294i	0.932629	−	0.360838i	$-0.117509\pi$
$421$	26.0719	+	11.9066i	1.27067	+	0.580294i	0.338039	+	0.941132i	$0.390237\pi$
$422$	13.3382	−	9.32350i	0.649295	−	0.453861i
$423$	0.392659	−	2.73101i	0.0190918	−	0.132786i
$424$	−1.49375	+	4.63413i	−0.0725429	+	0.225053i
$425$	−11.3442	−	3.33095i	−0.550273	−	0.161575i
$426$	10.7494	+	6.33210i	0.520812	+	0.306791i
$427$	4.41096	−	2.01442i	0.213462	−	0.0974846i
$428$	20.8387	+	15.3951i	1.00728	+	0.744153i
$429$	−27.9229	−	24.1953i	−1.34813	−	1.16816i
$430$	−8.11359	−	6.49617i	−0.391272	−	0.313273i
$431$	3.90268	+	2.50810i	0.187986	+	0.120811i	0.631248	−	0.775581i	$-0.282543\pi$
$431$	3.90268	+	2.50810i	0.187986	+	0.120811i	−0.443263	+	0.896392i	$0.646179\pi$
$432$	9.49541	+	10.6825i	0.456848	+	0.513961i
$433$	−22.3385	+	14.3561i	−1.07352	+	0.689909i	−0.953051	−	0.302808i	$-0.902076\pi$
$433$	−22.3385	+	14.3561i	−1.07352	+	0.689909i	−0.120468	+	0.992717i	$0.538439\pi$
$434$	47.2020	−	23.8144i	2.26577	−	1.14313i
$435$	0.114660	+	0.390498i	0.00549755	+	0.0187229i
$436$	0.896878	−	1.66747i	0.0429527	−	0.0798575i
$437$	−8.68246	−	4.70997i	−0.415338	−	0.225308i
$438$	−17.9179	−	4.51302i	−0.856151	−	0.215641i
$439$	4.16419	−	1.22272i	0.198746	−	0.0583570i	−0.180845	−	0.983512i	$-0.557883\pi$
$439$	4.16419	−	1.22272i	0.198746	−	0.0583570i	0.379590	+	0.925155i	$0.376065\pi$
$440$	12.1594	+	0.318914i	0.579676	+	0.0152036i
$441$	−15.6255	+	10.0419i	−0.744072	+	0.478186i
$442$	2.92759	−	28.0645i	0.139251	−	1.33489i
$443$	7.36742	−	11.4639i	0.350037	−	0.544668i	−0.620935	−	0.783862i	$-0.713247\pi$
$443$	7.36742	−	11.4639i	0.350037	−	0.544668i	0.970972	+	0.239194i	$0.0768833\pi$
$444$	21.8677	−	16.5866i	1.03779	−	0.787164i
$445$	−8.38113	−	7.26229i	−0.397304	−	0.344266i
$446$	7.03700	+	2.88881i	0.333212	+	0.136789i
$447$	−3.97707	−	8.70856i	−0.188109	−	0.411901i
$448$	−7.21545	+	36.4854i	−0.340898	+	1.72377i
$449$	28.3201	+	8.31554i	1.33651	+	0.392435i	0.870423	−	0.492304i	$-0.163845\pi$
$449$	28.3201	+	8.31554i	1.33651	+	0.392435i	0.466087	+	0.884739i	$0.345663\pi$
$450$	−5.75388	+	1.05690i	−0.271240	+	0.0498225i
$451$	14.9814	+	2.15400i	0.705446	+	0.101428i
$452$	−10.1427	+	3.85620i	−0.477071	+	0.181380i
$453$	−32.3823	−	14.7885i	−1.52145	−	0.694825i
$454$	7.16582	+	7.64804i	0.336308	+	0.358940i
$455$	4.80084	+	33.3906i	0.225067	+	1.56537i
$456$	2.02524	−	11.8678i	0.0948404	−	0.555761i
$457$	6.07553	+	7.01153i	0.284201	+	0.327986i	0.879843	−	0.475265i	$-0.157648\pi$
$457$	6.07553	+	7.01153i	0.284201	+	0.327986i	−0.595642	+	0.803250i	$0.703102\pi$
$458$	−13.9710	+	0.543176i	−0.652821	+	0.0253810i
$459$			12.9805i			0.605877i
$460$	9.50121	−	8.38501i	0.442996	−	0.390953i
$461$			40.6482i			1.89318i	0.322446	+	0.946588i	$0.395495\pi$
$461$			40.6482i			1.89318i	−0.322446	+	0.946588i	$0.604505\pi$
$462$	1.71827	+	44.1953i	0.0799409	+	2.05615i
$463$	3.09248	+	3.56891i	0.143720	+	0.165861i	0.823046	−	0.567975i	$-0.192273\pi$
$463$	3.09248	+	3.56891i	0.143720	+	0.165861i	−0.679326	+	0.733837i	$0.737728\pi$
$464$	−0.240810	+	0.545439i	−0.0111793	+	0.0253214i
$465$	−3.12463	−	21.7323i	−0.144901	−	1.00781i
$466$	8.29352	−	7.77060i	0.384190	−	0.359966i
$467$	−33.1508	−	15.1394i	−1.53403	−	0.700570i	−0.543701	−	0.839279i	$-0.682978\pi$
$467$	−33.1508	−	15.1394i	−1.53403	−	0.700570i	−0.990333	+	0.138709i	$0.955705\pi$
$468$	−4.96174	−	13.0505i	−0.229356	−	0.603259i
$469$	−32.0527	−	4.60848i	−1.48005	−	0.212800i
$470$	0.732723	+	3.98904i	0.0337980	+	0.184001i
$471$	8.73513	+	2.56486i	0.402493	+	0.118183i
$472$	−16.6251	−	27.4245i	−0.765234	−	1.26232i
$473$	−7.52227	−	16.4715i	−0.345874	−	0.757359i
$474$	−8.99899	+	21.9211i	−0.413337	+	1.00687i
$475$	−5.06595	−	4.38967i	−0.232442	−	0.201412i
$476$	−26.9120	+	20.4127i	−1.23351	+	0.935613i
$477$	−1.18292	+	1.84067i	−0.0541624	+	0.0842783i
$478$	2.89219	+	0.301702i	0.132286	+	0.0137995i
$479$	−16.2540	+	10.4458i	−0.742664	+	0.477281i	−0.856454	−	0.516224i	$-0.827337\pi$
$479$	−16.2540	+	10.4458i	−0.742664	+	0.477281i	0.113790	+	0.993505i	$0.463701\pi$
$480$	13.4060	+	7.67045i	0.611897	+	0.350107i
$481$	34.9933	−	10.2750i	1.59556	−	0.468498i
$482$	2.97032	−	11.7929i	0.135294	−	0.537154i
$483$	32.6715	+	32.4920i	1.48661	+	1.47844i
$484$	−0.712335	−	0.383141i	−0.0323789	−	0.0174155i
$485$	6.47934	+	22.0666i	0.294212	+	1.00199i
$486$	7.91307	+	15.6843i	0.358944	+	0.711454i
$487$	−5.12181	+	3.29159i	−0.232091	+	0.149156i	−0.651518	−	0.758633i	$-0.725868\pi$
$487$	−5.12181	+	3.29159i	−0.232091	+	0.149156i	0.419427	+	0.907789i	$0.362231\pi$
$488$	1.65953	−	2.43920i	0.0751232	−	0.110417i
$489$	−41.2937	−	26.5379i	−1.86737	−	1.20008i
$490$	17.0648	−	21.3135i	0.770907	−	0.962848i
$491$	−18.0637	−	15.6523i	−0.815202	−	0.706376i	0.143852	−	0.989599i	$-0.454051\pi$
$491$	−18.0637	−	15.6523i	−0.815202	−	0.706376i	−0.959054	+	0.283223i	$0.908596\pi$
$492$	15.4580	+	11.4200i	0.696902	+	0.514855i
$493$	−0.492562	+	0.224946i	−0.0221839	+	0.0101310i
$494$	8.11968	−	13.7840i	0.365322	−	0.620174i
$495$	5.24467	+	1.53997i	0.235730	+	0.0692167i
$496$	17.0465	−	27.2768i	0.765412	−	1.22476i
$497$	2.82421	−	19.6428i	0.126683	−	0.881101i
$498$	6.42074	+	9.18554i	0.287720	+	0.411614i
$499$	−13.1259	−	5.99439i	−0.587595	−	0.268346i	0.0993528	−	0.995052i	$-0.468323\pi$
$499$	−13.1259	−	5.99439i	−0.587595	−	0.268346i	−0.686948	+	0.726706i	$0.741050\pi$
$500$	19.0767	−	10.5737i	0.853136	−	0.472870i
$501$	9.97549	−	1.43426i	0.445672	−	0.0640780i
$502$	2.76152	−	0.928822i	0.123252	−	0.0414554i
$503$	2.25594	+	2.60350i	0.100588	+	0.116084i	0.803811	−	0.594884i	$-0.202802\pi$
$503$	2.25594	+	2.60350i	0.100588	+	0.116084i	−0.703224	+	0.710969i	$0.748257\pi$
$504$	−7.33923	+	15.0158i	−0.326915	+	0.668857i
$505$	8.50721			0.378566
$506$	21.3586	−	5.58624i	0.949506	−	0.248339i
$507$		−	35.4745i		−	1.57548i
$508$	−0.722014	−	0.152293i	−0.0320342	−	0.00675691i
$509$	−19.8545	+	17.2040i	−0.880036	+	0.762555i	−0.972437	−	0.233167i	$-0.925091\pi$
$509$	−19.8545	+	17.2040i	−0.880036	+	0.762555i	0.0924012	+	0.995722i	$0.470546\pi$
$510$	4.47185	+	13.2954i	0.198017	+	0.588732i
$511$	4.18285	+	29.0923i	0.185038	+	1.28697i
$512$	7.75323	+	21.2576i	0.342648	+	0.939464i
$513$	−3.05721	+	6.69435i	−0.134979	+	0.295563i
$514$	19.3828	+	27.7291i	0.854939	+	1.22308i
$515$	−15.9462	−	2.29271i	−0.702672	−	0.101029i
$516$	1.49537	−	22.9446i	0.0658301	−	1.01008i
$517$	−1.99070	+	6.77969i	−0.0875507	+	0.298170i
$518$	−37.6168	−	22.1587i	−1.65279	−	0.973597i
$519$	10.4809	+	22.9501i	0.460062	+	1.00740i
$520$	13.0288	+	15.8577i	0.571349	+	0.695406i
$521$	11.2878	−	13.0268i	0.494528	−	0.570716i	−0.452542	−	0.891743i	$-0.649483\pi$
$521$	11.2878	−	13.0268i	0.494528	−	0.570716i	0.947070	+	0.321027i	$0.104028\pi$
$522$	−0.167462	+	0.209156i	−0.00732960	+	0.00915452i
$523$	11.1856	−	17.4052i	0.489114	−	0.761076i	−0.505709	−	0.862704i	$-0.668769\pi$
$523$	11.1856	−	17.4052i	0.489114	−	0.761076i	0.994822	+	0.101629i	$0.0324053\pi$
$524$	6.28401	+	2.29869i	0.274518	+	0.100419i
$525$	16.9055	+	26.3054i	0.737815	+	1.14806i
$526$	−34.0264	+	17.1671i	−1.48362	+	0.748519i
$527$	28.0291	−	8.23009i	1.22097	−	0.358508i
$528$	14.8327	+	22.4512i	0.645512	+	0.977064i
$529$	12.3279	−	19.4171i	0.535996	−	0.844221i
$530$	0.785562	−	3.11889i	0.0341226	−	0.135476i
$531$	−4.06026	−	13.8280i	−0.176200	−	0.600084i
$532$	−18.6868	+	4.18891i	−0.810177	+	0.181612i
$533$	13.8069	+	21.4839i	0.598041	+	0.930570i
$534$	2.54539	−	24.4007i	0.110150	−	1.05592i
$535$	−14.3978	−	9.25291i	−0.622472	−	0.400038i
$536$	−18.1292	+	7.71149i	−0.783064	+	0.333086i
$537$	28.8298	−	33.2713i	1.24410	−	1.43576i
$538$	0.916617	−	2.23284i	0.0395182	−	0.0962644i
$539$	43.2689	−	19.7602i	1.86372	−	0.851133i
$540$	−6.71810	−	6.63374i	−0.289101	−	0.285471i
$541$	9.69721	−	33.0257i	0.416916	−	1.41988i	−0.436995	−	0.899464i	$-0.643957\pi$
$541$	9.69721	−	33.0257i	0.416916	−	1.41988i	0.853910	−	0.520420i	$-0.174225\pi$
$542$	−23.5878	+	4.33271i	−1.01318	+	0.186106i
$543$	4.52429	−	31.4671i	0.194156	−	1.35038i
$544$	−7.56331	+	19.1077i	−0.324274	+	0.819236i
$545$	−0.519567	+	1.13769i	−0.0222558	+	0.0487335i
$546$	−54.4581	+	51.0244i	−2.33059	+	2.18364i
$547$	−18.3778	+	2.64233i	−0.785778	+	0.112978i	−0.523513	−	0.852018i	$-0.675379\pi$
$547$	−18.3778	+	2.64233i	−0.785778	+	0.112978i	−0.262265	+	0.964996i	$0.584470\pi$
$548$	−24.2976	+	1.89219i	−1.03794	+	0.0808302i
$549$	1.00195	−	0.868194i	0.0427622	−	0.0370536i
$550$	14.9706	−	0.582042i	0.638350	−	0.0248183i
$551$	−0.307006			−0.0130789
$552$	27.2454	+	6.60003i	1.15964	+	0.280916i
$553$	37.6929			1.60287
$554$	5.46904	−	0.212630i	0.232357	−	0.00903378i
$555$	−13.7021	+	11.8730i	−0.581623	+	0.503979i
$556$	1.70654	+	21.9137i	0.0723733	+	0.929346i
$557$	5.93872	−	0.853859i	0.251632	−	0.0361792i	−0.0153447	−	0.999882i	$-0.504885\pi$
$557$	5.93872	−	0.853859i	0.251632	−	0.0361792i	0.266976	+	0.963703i	$0.413975\pi$
$558$	10.5480	−	9.88293i	0.446533	−	0.418378i
$559$	12.6923	−	27.7922i	0.536827	−	1.17549i
$560$	3.18883	−	24.3604i	0.134753	−	1.02941i
$561$	−3.47792	+	24.1894i	−0.146838	+	1.02128i
$562$	−37.4734	+	6.88326i	−1.58072	+	0.290353i
$563$	−6.62086	+	22.5486i	−0.279036	+	0.950310i	0.694061	+	0.719916i	$0.255820\pi$
$563$	−6.62086	+	22.5486i	−0.279036	+	0.950310i	−0.973097	+	0.230394i	$0.925999\pi$
$564$	−6.30414	+	6.38432i	−0.265452	+	0.268828i
$565$	6.52017	−	2.97766i	0.274306	−	0.125271i
$566$	3.04566	−	7.41910i	0.128019	−	0.311848i
$567$	34.0905	−	39.3425i	1.43167	−	1.65223i
$568$	−4.72583	−	11.1101i	−0.198291	−	0.466171i
$569$	−10.6530	−	6.84627i	−0.446597	−	0.287011i	0.297949	−	0.954582i	$-0.403698\pi$
$569$	−10.6530	−	6.84627i	−0.446597	−	0.287011i	−0.744546	+	0.667571i	$0.767334\pi$
$570$	−0.825143	+	7.91001i	−0.0345614	+	0.331314i
$571$	6.38252	+	9.93140i	0.267100	+	0.415616i	0.948733	−	0.316078i	$-0.102366\pi$
$571$	6.38252	+	9.93140i	0.267100	+	0.415616i	−0.681633	+	0.731694i	$0.738730\pi$
$572$	7.82104	+	34.8899i	0.327014	+	1.45882i
$573$	11.2031	+	38.1544i	0.468018	+	1.59392i
$574$	7.46675	−	29.6450i	0.311656	−	1.23736i
$575$	11.0063	−	11.0671i	0.458993	−	0.461530i
$576$	0.917523	+	10.1269i	0.0382301	+	0.421953i
$577$	−9.21953	+	2.70710i	−0.383814	+	0.112698i	−0.467947	−	0.883757i	$-0.655006\pi$
$577$	−9.21953	+	2.70710i	−0.383814	+	0.112698i	0.0841328	+	0.996455i	$0.473188\pi$
$578$	4.80159	−	2.42251i	0.199720	−	0.100763i
$579$	0.267702	+	0.416553i	0.0111253	+	0.0173114i
$580$	0.135305	−	0.369887i	0.00561822	−	0.0153587i
$581$	9.63789	−	14.9969i	0.399847	−	0.622174i
$582$	−31.7985	+	39.7156i	−1.31809	+	1.64627i
$583$	3.66944	−	4.23475i	0.151973	−	0.175386i
$584$	11.3516	+	13.8164i	0.469733	+	0.571726i
$585$	3.83133	+	8.38944i	0.158406	+	0.346861i
$586$	−27.2575	−	16.0564i	−1.12600	−	0.663284i
$587$	−7.35050	+	25.0335i	−0.303388	+	1.03324i	0.656841	+	0.754029i	$0.271892\pi$
$587$	−7.35050	+	25.0335i	−0.303388	+	1.03324i	−0.960229	+	0.279215i	$0.909926\pi$
$588$	60.2731	+	3.92819i	2.48562	+	0.161996i
$589$	16.3937	+	2.35706i	0.675490	+	0.0971208i
$590$	12.1371	+	17.3634i	0.499677	+	0.714841i
$591$	−12.2540	+	26.8325i	−0.504062	+	1.10374i
$592$	−26.5592	+	0.335661i	−1.09158	+	0.0137956i
$593$	−1.45857	−	10.1446i	−0.0598962	−	0.416587i	−0.997605	−	0.0691654i	$-0.977966\pi$
$593$	−1.45857	−	10.1446i	−0.0598962	−	0.416587i	0.937709	−	0.347422i	$-0.112943\pi$
$594$	−5.24374	−	15.5904i	−0.215153	−	0.639680i
$595$	16.8629	−	14.6118i	0.691310	−	0.599023i
$596$	−1.91216	+	9.06549i	−0.0783253	+	0.371337i
$597$		−	32.5907i		−	1.33385i
$598$	30.7235	+	21.0634i	1.25638	+	0.861348i
$599$	−16.7339			−0.683730			−0.341865	−	0.939749i	$-0.611059\pi$
$599$	−16.7339			−0.683730			−0.341865	+	0.939749i	$0.611059\pi$
$600$	17.0917	+	8.35387i	0.697767	+	0.341045i
$601$	6.25738	+	7.22140i	0.255244	+	0.294567i	0.868881	−	0.495021i	$-0.164840\pi$
$601$	6.25738	+	7.22140i	0.255244	+	0.294567i	−0.613637	+	0.789588i	$0.710294\pi$
$602$	−34.6663	+	11.6598i	−1.41289	+	0.475219i
$603$	−8.76323	+	1.25996i	−0.356866	+	0.0513096i
$604$	16.7015	+	30.1322i	0.679573	+	1.22606i
$605$	0.486016	+	0.221956i	0.0197594	+	0.00902380i
$606$	10.7822	+	15.4250i	0.437995	+	0.626598i
$607$	−2.94818	+	20.5050i	−0.119663	+	0.832274i	0.838265	+	0.545263i	$0.183570\pi$
$607$	−2.94818	+	20.5050i	−0.119663	+	0.832274i	−0.957928	+	0.287010i	$0.907339\pi$
$608$	−8.40090	+	8.07297i	−0.340701	+	0.327402i
$609$	1.37412	+	0.403478i	0.0556822	+	0.0163498i
$610$	−0.989135	+	1.67916i	−0.0400489	+	0.0679874i
$611$	−10.8449	+	4.95269i	−0.438737	+	0.200364i
$612$	−5.48742	+	7.42770i	−0.221816	+	0.300247i
$613$	−25.3969	−	22.0066i	−1.02577	−	0.888837i	−0.0319138	−	0.999491i	$-0.510160\pi$
$613$	−25.3969	−	22.0066i	−1.02577	−	0.888837i	−0.993859	+	0.110653i	$0.964706\pi$
$614$	−11.1361	+	13.9087i	−0.449415	+	0.561311i
$615$	−10.6802	−	6.86376i	−0.430668	−	0.276773i
$616$	24.0768	−	35.3885i	0.970083	−	1.42584i
$617$	−0.327411	+	0.210414i	−0.0131811	+	0.00847095i	−0.547215	−	0.836992i	$-0.684312\pi$
$617$	−0.327411	+	0.210414i	−0.0131811	+	0.00847095i	0.534034	+	0.845463i	$0.320676\pi$
$618$	−16.0533	−	31.8189i	−0.645759	−	1.27994i
$619$	6.75022	+	22.9892i	0.271314	+	0.924012i	0.976595	+	0.215084i	$0.0690026\pi$
$619$	6.75022	+	22.9892i	0.271314	+	0.924012i	−0.705281	+	0.708928i	$0.749179\pi$
$620$	−10.0649	+	18.7126i	−0.404216	+	0.751517i
$621$	−15.0627	−	8.17104i	−0.604444	−	0.327892i
$622$	10.0561	−	39.9253i	0.403212	−	1.60086i
$623$	−37.4432	+	10.9943i	−1.50013	+	0.440478i
$624$	−12.2398	+	43.7216i	−0.489986	+	1.75026i
$625$	1.56881	−	1.00821i	0.0627524	−	0.0403285i
$626$	9.54425	+	0.995621i	0.381465	+	0.0397930i
$627$	−7.49083	+	11.6560i	−0.299155	+	0.465494i
$628$	−5.32427	−	7.01950i	−0.212462	−	0.280109i
$629$	−18.2309	−	15.7971i	−0.726912	−	0.629873i
$630$	4.19277	−	10.2134i	0.167044	−	0.406912i
$631$	−3.94336	−	8.63475i	−0.156983	−	0.343744i	0.814756	−	0.579804i	$-0.196871\pi$
$631$	−3.94336	−	8.63475i	−0.156983	−	0.343744i	−0.971738	+	0.236060i	$0.924144\pi$
$632$	19.6102	−	11.8880i	0.780050	−	0.472878i
$633$	−22.8183	−	6.70004i	−0.906944	−	0.266303i
$634$	0.980994	+	5.34066i	0.0389603	+	0.212105i
$635$	0.482479	+	0.0693701i	0.0191466	+	0.00275287i
$636$	6.65071	−	2.52857i	0.263718	−	0.100264i
$637$	73.0073	+	33.3413i	2.89265	+	1.32103i
$638$	0.500726	−	0.469155i	0.0198239	−	0.0185740i
$639$	−0.772142	−	5.37037i	−0.0305455	−	0.212448i
$640$	−6.02401	−	13.6795i	−0.238120	−	0.540730i
$641$	−27.2887	−	31.4928i	−1.07784	−	1.24389i	−0.968269	−	0.249912i	$-0.919598\pi$
$641$	−27.2887	−	31.4928i	−1.07784	−	1.24389i	−0.109569	−	0.993979i	$-0.534947\pi$
$642$	−1.47090	−	37.8329i	−0.0580518	−	1.49315i
$643$		−	30.8155i		−	1.21524i	−0.794226	−	0.607622i	$-0.792123\pi$
$643$		−	30.8155i		−	1.21524i	0.794226	−	0.607622i	$-0.207877\pi$
$644$	−6.74633	−	44.0784i	−0.265843	−	1.73693i
$645$			15.1889i			0.598061i
$646$	−10.5735	+	0.411085i	−0.416008	+	0.0161739i
$647$	−5.78546	−	6.67678i	−0.227450	−	0.262491i	0.630541	−	0.776156i	$-0.282833\pi$
$647$	−5.78546	−	6.67678i	−0.227450	−	0.262491i	−0.857991	+	0.513665i	$0.828288\pi$
$648$	5.32772	−	31.2202i	0.209292	−	1.22645i
$649$	5.25254	+	36.5322i	0.206180	+	1.43402i
$650$	17.2839	+	18.4470i	0.677931	+	0.723552i
$651$	−70.2782	−	32.0950i	−2.75442	−	1.25790i
$652$	16.8815	+	44.4021i	0.661129	+	1.73892i
$653$	21.6363	+	3.11084i	0.846695	+	0.121736i	0.551989	−	0.833851i	$-0.313869\pi$
$653$	21.6363	+	3.11084i	0.846695	+	0.121736i	0.294706	+	0.955588i	$0.404778\pi$
$654$	−2.72134	+	0.499866i	−0.106413	+	0.0195463i
$655$	−4.24104	−	1.24528i	−0.165711	−	0.0486571i
$656$	−5.46508	−	17.7781i	−0.213376	−	0.694118i
$657$	3.33814	+	7.30950i	0.130233	+	0.285171i
$658$	13.2027	+	5.41992i	0.514694	+	0.211291i
$659$	25.9938	+	22.5237i	1.01257	+	0.877400i	0.992481	−	0.122398i	$-0.0390583\pi$
$659$	25.9938	+	22.5237i	1.01257	+	0.877400i	0.0200929	+	0.999798i	$0.493604\pi$
$660$	−10.7419	−	14.1621i	−0.418130	−	0.551261i
$661$	−10.4877	+	16.3191i	−0.407923	+	0.634740i	−0.983053	−	0.183322i	$-0.941315\pi$
$661$	−10.4877	+	16.3191i	−0.407923	+	0.634740i	0.575130	+	0.818062i	$0.304951\pi$
$662$	−4.84729	+	46.4672i	−0.188395	+	1.80600i
$663$	−34.6886	+	22.2930i	−1.34719	+	0.865789i
$664$	0.284361	−	10.8420i	0.0110354	−	0.420750i
$665$	12.1380	−	3.56404i	0.470692	−	0.138208i
$666$	−11.5747	−	2.91534i	−0.448509	−	0.112967i
$667$	0.0490322	−	0.713174i	0.00189853	−	0.0276142i
$668$	−8.58941	−	4.61996i	−0.332334	−	0.178751i
$669$	−3.13181	−	10.6660i	−0.121083	−	0.412370i
$670$	11.6191	−	5.86209i	0.448886	−	0.226472i
$671$	−2.85625	+	1.83560i	−0.110264	+	0.0708627i
$672$	48.2111	−	25.0928i	1.85978	−	0.967977i
$673$	−7.38986	−	4.74918i	−0.284858	−	0.183067i	0.390407	−	0.920642i	$-0.372334\pi$
$673$	−7.38986	−	4.74918i	−0.284858	−	0.183067i	−0.675265	+	0.737575i	$0.735971\pi$
$674$	−26.4377	−	21.1674i	−1.01834	−	0.815339i
$675$	−8.78861	−	7.61537i	−0.338274	−	0.293116i
$676$	−20.3994	+	27.6124i	−0.784593	+	1.06202i
$677$	34.3339	−	15.6798i	1.31956	−	0.602623i	0.373806	−	0.927507i	$-0.378052\pi$
$677$	34.3339	−	15.6798i	1.31956	−	0.602623i	0.945754	+	0.324884i	$0.105325\pi$
$678$	13.6628	+	8.04823i	0.524715	+	0.309091i
$679$	77.6501	+	22.8001i	2.97994	+	0.874988i
$680$	4.16469	−	12.9203i	0.159709	−	0.495472i
$681$	2.17964	−	15.1597i	0.0835241	−	0.580923i
$682$	−30.3400	+	21.2078i	−1.16178	+	0.812088i
$683$	0.384910	+	0.175782i	0.0147282	+	0.00672613i	0.422765	−	0.906239i	$-0.361059\pi$
$683$	0.384910	+	0.175782i	0.0147282	+	0.00672613i	−0.408037	+	0.912965i	$0.633787\pi$
$684$	−4.57939	+	2.53823i	−0.175097	+	0.0970517i
$685$	15.9352	−	2.29113i	0.608851	−	0.0875396i
$686$	−15.9573	−	47.4432i	−0.609251	−	1.81139i
$687$	13.3800	+	15.4413i	0.510479	+	0.589124i
$688$	−14.3581	+	16.9996i	−0.547398	+	0.648102i
$689$	9.45456			0.360190
$690$	−18.2431	−	3.18012i	−0.694504	−	0.121065i
$691$		−	12.7118i		−	0.483581i	−0.970328	−	0.241791i	$-0.922265\pi$
$691$		−	12.7118i		−	0.483581i	0.970328	−	0.241791i	$-0.0777347\pi$
$692$	5.03921	−	23.8907i	0.191562	−	0.908188i
$693$	14.5365	−	12.5960i	0.552197	−	0.478482i
$694$	−19.3314	+	6.50201i	−0.733808	+	0.246813i
$695$	−2.06634	−	14.3717i	−0.0783807	−	0.545150i
$696$	0.842155	−	0.223470i	0.0319218	−	0.00847062i
$697$	7.01705	−	15.3652i	0.265790	−	0.581998i
$698$	43.1350	−	30.1516i	1.63268	−	1.14126i
$699$	−16.4392	−	2.36360i	−0.621788	−	0.0893996i
$700$	1.96802	−	30.1968i	0.0743841	−	1.14133i
$701$	−2.44522	+	8.32764i	−0.0923545	+	0.314531i	−0.992694	−	0.120657i	$-0.961500\pi$
$701$	−2.44522	+	8.32764i	−0.0923545	+	0.314531i	0.900340	+	0.435188i	$0.143318\pi$
$702$	14.0864	−	23.9131i	0.531655	−	0.902543i
$703$	−5.68151	−	12.4408i	−0.214282	−	0.469212i
$704$	1.36504	−	26.0049i	0.0514469	−	0.980096i
$705$	3.88128	−	4.47924i	0.146178	−	0.168698i
$706$	−15.2476	−	12.2081i	−0.573853	−	0.459457i
$707$	16.1846	−	25.1838i	0.608685	−	0.947133i
$708$	−16.1001	+	44.0133i	−0.605077	+	1.65412i
$709$	−12.5474	−	19.5241i	−0.471227	−	0.733244i	0.521550	−	0.853221i	$-0.325354\pi$
$709$	−12.5474	−	19.5241i	−0.471227	−	0.733244i	−0.992777	+	0.119977i	$0.961718\pi$
$710$	3.59246	+	7.12054i	0.134823	+	0.267229i
$711$	9.88784	−	2.90333i	0.370823	−	0.108883i
$712$	−16.0127	+	17.5291i	−0.600103	+	0.656932i
$713$	−8.09367	+	37.7060i	−0.303110	+	1.41210i
$714$	47.8658	+	12.0561i	1.79133	+	0.451187i
$715$	−6.65436	−	22.6627i	−0.248859	−	0.847536i
$716$	−41.5728	+	9.31911i	−1.55365	+	0.348272i
$717$	−2.29740	−	3.57483i	−0.0857981	−	0.133504i
$718$	−13.3749	−	1.39522i	−0.499147	−	0.0520691i
$719$	15.8128	+	10.1623i	0.589718	+	0.378988i	0.801203	−	0.598393i	$-0.204194\pi$
$719$	15.8128	+	10.1623i	0.589718	+	0.378988i	−0.211485	+	0.977381i	$0.567830\pi$
$720$	−1.03987	−	6.63600i	−0.0387536	−	0.247309i
$721$	−37.1240	+	42.8434i	−1.38257	+	1.59557i
$722$	19.3072	+	7.92595i	0.718541	+	0.294973i
$723$	−16.1658	+	7.38266i	−0.601212	+	0.274564i
$724$	−21.6165	+	21.8915i	−0.803373	+	0.813590i
$725$	0.136673	−	0.465467i	0.00507592	−	0.0172870i
$726$	0.213540	+	1.16254i	0.00792521	+	0.0431459i
$727$	0.884465	−	6.15159i	0.0328030	−	0.228150i	−0.966825	−	0.255441i	$-0.917779\pi$
$727$	0.884465	−	6.15159i	0.0328030	−	0.228150i	0.999628	+	0.0272916i	$0.00868827\pi$
$728$	71.7300	−	8.40022i	2.65849	−	0.311333i
$729$	−3.29039	+	7.20496i	−0.121866	+	0.266850i
$730$	−8.07631	−	8.61980i	−0.298918	−	0.319033i
$731$	−20.0033	+	2.87604i	−0.739847	+	0.106374i
$732$	−4.29825	+	0.334728i	−0.158868	+	0.0123719i
$733$	−25.4249	+	22.0308i	−0.939092	+	0.813728i	−0.982678	−	0.185322i	$-0.940667\pi$
$733$	−25.4249	+	22.0308i	−0.939092	+	0.813728i	0.0435862	+	0.999050i	$0.486122\pi$
$734$	0.855132	+	21.9948i	0.0315635	+	0.811842i
$735$	−39.8995			−1.47172
$736$	−17.4118	−	20.8046i	−0.641806	−	0.766867i
$737$	22.6730			0.835172
$738$	−0.324708	−	8.35180i	−0.0119527	−	0.307434i
$739$	−27.6796	+	23.9845i	−1.01821	+	0.882285i	−0.993085	−	0.117399i	$-0.962544\pi$
$739$	−27.6796	+	23.9845i	−1.01821	+	0.882285i	−0.0251263	+	0.999684i	$0.507999\pi$
$740$	17.4928	−	1.36226i	0.643050	−	0.0500778i
$741$	−23.1403	+	3.32707i	−0.850080	+	0.122223i
$742$	−7.73830	−	8.25905i	−0.284082	−	0.303199i
$743$	9.03031	−	19.7736i	0.331290	−	0.725424i	−0.668544	−	0.743673i	$-0.733082\pi$
$743$	9.03031	−	19.7736i	0.331290	−	0.725424i	0.999833	+	0.0182494i	$0.00580927\pi$
$744$	−46.6855	+	5.46729i	−1.71157	+	0.200441i
$745$	0.870998	−	6.05793i	0.0319109	−	0.221945i
$746$	−3.85851	−	21.0063i	−0.141270	−	0.769094i
$747$	1.37313	−	4.67644i	0.0502400	−	0.171102i
$748$	16.6171	−	16.8284i	0.607581	−	0.615309i
$749$	−54.7825	+	25.0183i	−2.00171	+	0.914150i
$750$	−29.4856	−	12.1043i	−1.07666	−	0.441988i
$751$	−21.7012	+	25.0445i	−0.791887	+	0.913886i	−0.997907	−	0.0646614i	$-0.979403\pi$
$751$	−21.7012	+	25.0445i	−0.791887	+	0.913886i	0.206020	+	0.978548i	$0.433949\pi$
$752$	8.57823	−	1.34422i	0.312816	−	0.0490187i
$753$	−3.58178	−	2.30187i	−0.130527	−	0.0838848i
$754$	1.15153	+	0.120123i	0.0419361	+	0.00437462i
$755$	−12.3038	−	19.1450i	−0.447780	−	0.696759i
$756$	−32.4187	+	7.26709i	−1.17906	+	0.264301i
$757$	0.442918	+	1.50844i	0.0160981	+	0.0548252i	0.967150	−	0.254205i	$-0.0818138\pi$
$757$	0.442918	+	1.50844i	0.0160981	+	0.0548252i	−0.951052	+	0.309030i	$0.899996\pi$
$758$	11.8295	+	2.97952i	0.429667	+	0.108221i
$759$	−25.8804	−	19.2627i	−0.939398	−	0.699193i
$760$	5.19087	−	5.68244i	0.188293	−	0.206124i
$761$	30.3793	−	8.92016i	1.10125	−	0.323356i	0.319900	−	0.947451i	$-0.396351\pi$
$761$	30.3793	−	8.92016i	1.10125	−	0.323356i	0.781348	+	0.624096i	$0.214533\pi$
$762$	0.485721	+	0.962737i	0.0175958	+	0.0348763i
$763$	2.37944	+	3.70248i	0.0861416	+	0.134039i
$764$	13.2202	−	36.1406i	0.478291	−	1.30752i
$765$	3.29809	−	5.13193i	0.119243	−	0.185545i
$766$	28.2018	+	22.5799i	1.01897	+	0.815844i
$767$	−40.7811	+	47.0639i	−1.47252	+	1.69938i
$768$	17.1683	−	28.2601i	0.619509	−	1.01975i
$769$	1.12104	+	2.45473i	0.0404257	+	0.0885199i	0.928767	−	0.370663i	$-0.120870\pi$
$769$	1.12104	+	2.45473i	0.0404257	+	0.0885199i	−0.888342	+	0.459183i	$0.848142\pi$
$770$	−14.3506	+	24.3617i	−0.517160	+	0.877936i
$771$	13.9289	−	47.4373i	0.501635	−	1.70841i
$772$	0.0311641	−	0.478174i	0.00112162	−	0.0172099i
$773$	53.4426	+	7.68389i	1.92220	+	0.276370i	0.995134	−	0.0985331i	$-0.0314150\pi$
$773$	53.4426	+	7.68389i	1.92220	+	0.276370i	0.927064	+	0.374903i	$0.122324\pi$
$774$	−8.19577	+	5.72888i	−0.294591	+	0.205920i
$775$	−10.8718	+	23.8059i	−0.390526	+	0.855133i
$776$	47.5893	−	12.6281i	1.70836	−	0.453321i
$777$	9.07961	+	63.1501i	0.325729	+	2.26550i
$778$	−0.0764498	+	0.0257135i	−0.00274086	+	0.000921874i
$779$	7.23773	−	6.27153i	0.259318	−	0.224701i
$780$	6.18993	−	29.3462i	0.221635	−	1.05076i
$781$			13.8947i			0.497191i
$782$	0.733748	−	24.6278i	0.0262388	−	0.880689i
$783$	−0.532607			−0.0190338
$784$	−44.6561	−	37.7173i	−1.59486	−	1.34705i
$785$	3.81121	+	4.39837i	0.136028	+	0.156985i
$786$	−3.11725	−	9.26800i	−0.111188	−	0.330579i
$787$	−20.7182	+	2.97883i	−0.738524	+	0.106184i	−0.501303	−	0.865272i	$-0.667146\pi$
$787$	−20.7182	+	2.97883i	−0.738524	+	0.106184i	−0.237221	+	0.971456i	$0.576237\pi$
$788$	24.9681	−	13.8391i	0.889450	−	0.492998i
$789$	50.6613	+	23.1363i	1.80359	+	0.823672i
$790$	−12.4159	+	8.67877i	−0.441737	+	0.308777i
$791$	3.58963	−	24.9664i	0.127633	−	0.887704i
$792$	3.59015	−	11.1379i	0.127570	−	0.395767i
$793$	−5.49671	−	1.61398i	−0.195194	−	0.0573141i
$794$	−1.40101	−	0.825282i	−0.0497198	−	0.0292882i
$795$	−4.27538	+	1.95250i	−0.151632	+	0.0692480i
$796$	−18.7411	+	25.3677i	−0.664260	+	0.899134i
$797$	−12.1025	−	10.4869i	−0.428692	−	0.371464i	0.413624	−	0.910448i	$-0.364263\pi$
$797$	−12.1025	−	10.4869i	−0.428692	−	0.371464i	−0.842316	+	0.538984i	$0.818808\pi$
$798$	21.8461	+	17.4911i	0.773343	+	0.619179i
$799$	6.63395	+	4.26338i	0.234692	+	0.150828i
$800$	−8.49989	−	16.3309i	−0.300517	−	0.577385i
$801$	−8.97549	+	5.76820i	−0.317133	+	0.203809i
$802$	−45.5657	+	22.9889i	−1.60898	+	0.811766i
$803$	−5.79777	−	19.7454i	−0.204599	−	0.696800i
$804$	25.3552	+	13.6377i	0.894209	+	0.480965i
$805$	6.34068	+	28.7657i	0.223480	+	1.01386i
$806$	−60.5675	−	15.2553i	−2.13340	−	0.537344i
$807$	−3.38431	+	0.993722i	−0.119133	+	0.0349807i
$808$	0.477519	−	18.2066i	0.0167991	−	0.640506i
$809$	−47.3775	+	30.4477i	−1.66571	+	1.07048i	−0.756638	+	0.653834i	$0.773160\pi$
$809$	−47.3775	+	30.4477i	−1.66571	+	1.07048i	−0.909067	+	0.416650i	$0.863204\pi$
$810$	−2.17067	+	20.8086i	−0.0762697	+	0.731139i
$811$	−14.6119	+	22.7366i	−0.513094	+	0.798390i	−0.997054	−	0.0767001i	$-0.975562\pi$
$811$	−14.6119	+	22.7366i	−0.513094	+	0.798390i	0.483960	+	0.875090i	$0.339198\pi$
$812$	−0.837560	−	1.10424i	−0.0293926	−	0.0387511i
$813$	26.4865	+	22.9506i	0.928920	+	0.804914i
$814$	28.2780	+	11.6086i	0.991142	+	0.406881i
$815$	−13.0355	−	28.5437i	−0.456612	−	0.999841i
$816$	28.7051	−	8.82410i	1.00488	−	0.308905i
$817$	−10.9936	−	3.22800i	−0.384616	−	0.112933i
$818$	−15.6399	+	2.87280i	−0.546837	+	0.100445i
$819$	32.1241	+	4.61875i	1.12251	+	0.161392i
$820$	4.36623	+	11.4842i	0.152475	+	0.401044i
$821$	−7.42725	−	3.39191i	−0.259213	−	0.118378i	0.281570	−	0.959541i	$-0.409145\pi$
$821$	−7.42725	−	3.39191i	−0.259213	−	0.118378i	−0.540783	+	0.841162i	$0.681872\pi$
$822$	24.3507	+	25.9893i	0.849327	+	0.906482i
$823$	−2.42519	−	16.8675i	−0.0845367	−	0.587966i	−0.987425	−	0.158090i	$-0.949466\pi$
$823$	−2.42519	−	16.8675i	−0.0845367	−	0.587966i	0.902888	−	0.429876i	$-0.141443\pi$
$824$	−5.80180	+	33.9983i	−0.202115	+	1.18439i
$825$	−14.3374	−	16.5462i	−0.499163	−	0.576065i
$826$	74.4911	−	2.89613i	2.59188	−	0.100769i
$827$			45.1316i			1.56938i	0.619889	+	0.784690i	$0.287178\pi$
$827$			45.1316i			1.56938i	−0.619889	+	0.784690i	$0.712822\pi$
$828$	−5.16492	−	11.0433i	−0.179493	−	0.383781i
$829$		−	14.7254i		−	0.511435i	−0.966752	−	0.255717i	$-0.917688\pi$
$829$		−	14.7254i		−	0.511435i	0.966752	−	0.255717i	$-0.0823117\pi$
$830$	0.278335	+	7.15902i	0.00966114	+	0.248493i
$831$	−5.23769	−	6.04462i	−0.181693	−	0.209685i
$832$	34.6690	−	26.9933i	1.20193	−	0.935823i
$833$	−7.55504	−	52.5465i	−0.261767	−	1.82063i
$834$	23.4394	−	21.9615i	0.811641	−	0.760465i
$835$	5.86043	+	2.67637i	0.202809	+	0.0926196i
$836$	12.5333	−	4.76512i	0.433475	−	0.164805i
$837$	28.4404	+	4.08911i	0.983044	+	0.141340i
$838$	−3.72494	−	20.2791i	−0.128676	−	0.700528i
$839$	−33.3829	−	9.80209i	−1.15250	−	0.338406i	−0.350989	−	0.936380i	$-0.614154\pi$
$839$	−33.3829	−	9.80209i	−1.15250	−	0.338406i	−0.801516	+	0.597974i	$0.795973\pi$
$840$	−30.7017	+	18.6118i	−1.05931	+	0.642170i
$841$	12.0378	+	26.3591i	0.415097	+	0.908935i
$842$	−15.3934	+	37.4976i	−0.530491	+	1.29225i
$843$	42.0783	+	36.4611i	1.44926	+	1.25579i
$844$	13.9083	+	18.3366i	0.478743	+	0.631173i
$845$	12.2606	−	19.0779i	0.421778	−	0.656299i
$846$	3.88088	+	0.404840i	0.133428	+	0.0139187i
$847$	1.58168	−	1.01648i	0.0543471	−	0.0349268i
$848$	−6.63077	−	1.85628i	−0.227701	−	0.0637449i
$849$	−11.2451	+	3.30186i	−0.385931	+	0.113320i
$850$	4.08385	−	16.2140i	0.140075	−	0.556134i
$851$	29.8072	−	11.2112i	1.02178	−	0.384315i
$852$	−8.35759	+	15.5384i	−0.286326	+	0.532337i
$853$	10.6935	+	36.4189i	0.366140	+	1.24696i	0.912385	+	0.409333i	$0.134239\pi$
$853$	10.6935	+	36.4189i	0.366140	+	1.24696i	−0.546245	+	0.837626i	$0.683943\pi$
$854$	3.08901	+	6.12266i	0.105704	+	0.209513i
$855$	2.90960	−	1.86988i	0.0995061	−	0.0639487i
$856$	−20.6107	+	30.2939i	−0.704459	+	1.03543i
$857$	−11.0369	−	7.09297i	−0.377012	−	0.242291i	0.338387	−	0.941007i	$-0.390119\pi$
$857$	−11.0369	−	7.09297i	−0.377012	−	0.242291i	−0.715399	+	0.698716i	$0.753755\pi$
$858$	32.6574	−	40.7885i	1.11491	−	1.39250i
$859$	−26.2081	−	22.7094i	−0.894207	−	0.774835i	0.0808644	−	0.996725i	$-0.474232\pi$
$859$	−26.2081	−	22.7094i	−0.894207	−	0.774835i	−0.975072	+	0.221890i	$0.928777\pi$
$860$	8.73426	−	11.8226i	0.297836	−	0.403147i
$861$	−40.6374	+	18.5585i	−1.38492	+	0.632471i
$862$	−3.32989	+	5.65286i	−0.113417	+	0.192537i
$863$	−1.51809	−	0.445751i	−0.0516763	−	0.0151735i	0.255792	−	0.966732i	$-0.417664\pi$
$863$	−1.51809	−	0.445751i	−0.0516763	−	0.0151735i	−0.307469	+	0.951558i	$0.599482\pi$
$864$	−14.5742	+	14.0053i	−0.495825	+	0.476471i
$865$	−2.29538	+	15.9647i	−0.0780453	+	0.542817i
$866$	−21.5145	−	30.7788i	−0.731094	−	1.04591i
$867$	−7.14901	−	3.26484i	−0.242793	−	0.110880i
$868$	36.2466	+	65.3949i	1.23029	+	2.21965i
$869$	−26.1227	+	3.75588i	−0.886153	+	0.127410i
$870$	−0.545530	+	0.183486i	−0.0184952	+	0.00622077i
$871$	25.0524	+	28.9120i	0.848868	+	0.979646i
$872$	2.40566	+	1.17581i	0.0814659	+	0.0398178i
$873$	22.1259			0.748847
$874$	6.17884	−	12.5284i	0.209002	−	0.423778i
$875$			50.6999i			1.71397i
$876$	5.39312	−	25.5686i	0.182217	−	0.863882i
$877$	32.3282	−	28.0125i	1.09165	−	0.945916i	0.0928841	−	0.995677i	$-0.470391\pi$
$877$	32.3282	−	28.0125i	1.09165	−	0.945916i	0.998761	+	0.0497609i	$0.0158459\pi$
$878$	1.95666	+	5.81742i	0.0660341	+	0.196329i
$879$	6.57918	+	45.7592i	0.221910	+	1.54342i
$880$	0.217384	+	17.2005i	0.00732800	+	0.579829i
$881$	−4.90329	+	10.7367i	−0.165196	+	0.361729i	−0.974068	−	0.226256i	$-0.927351\pi$
$881$	−4.90329	+	10.7367i	−0.165196	+	0.361729i	0.808872	+	0.587985i	$0.200079\pi$
$882$	−15.0492	−	21.5294i	−0.506732	−	0.724933i
$883$	35.2810	+	5.07264i	1.18730	+	0.170708i	0.707528	−	0.706685i	$-0.249810\pi$
$883$	35.2810	+	5.07264i	1.18730	+	0.170708i	0.479772	+	0.877393i	$0.340719\pi$
$884$	39.8201	+	2.59520i	1.33930	+	0.0872860i
$885$	8.72197	−	29.7043i	0.293186	−	0.998499i
$886$	16.6050	+	9.78140i	0.557855	+	0.328612i
$887$	1.46551	+	3.20901i	0.0492069	+	0.107748i	0.932639	−	0.360812i	$-0.117500\pi$
$887$	1.46551	+	3.20901i	0.0492069	+	0.107748i	−0.883432	+	0.468560i	$0.844773\pi$
$888$	24.6407	+	29.9909i	0.826887	+	1.00643i
$889$	1.12325	−	1.29630i	0.0376727	−	0.0434766i
$890$	9.80220	−	12.2428i	0.328571	−	0.410378i
$891$	−19.7059	+	30.6629i	−0.660171	+	1.02725i
$892$	−3.69568	+	10.1030i	−0.123741	+	0.338274i
$893$	2.41716	+	3.76118i	0.0808873	+	0.125863i
$894$	12.0880	−	6.09863i	0.404282	−	0.203969i
$895$	27.0036	−	7.92896i	0.902629	−	0.265036i
$896$	−51.9557	−	8.19192i	−1.73572	−	0.273673i
$897$	−4.03302	−	54.2861i	−0.134659	−	1.81256i
$898$	−10.1951	+	40.4774i	−0.340216	+	1.35075i
$899$	0.337692	+	1.15007i	0.0112627	+	0.0383571i
$900$	−1.80967	−	8.07300i	−0.0603225	−	0.269100i
$901$	−3.38093	−	5.26083i	−0.112635	−	0.175264i
$902$	−2.22081	+	21.2892i	−0.0739450	+	0.708854i
$903$	44.9633	+	28.8962i	1.49629	+	0.961605i
$904$	−6.00663	−	14.1212i	−0.199777	−	0.469664i
$905$	13.3087	−	15.3591i	0.442396	−	0.510552i
$906$	19.1192	−	46.5734i	0.635192	−	1.54730i
$907$	38.3392	−	17.5089i	1.27303	−	0.581374i	0.339748	−	0.940516i	$-0.389658\pi$
$907$	38.3392	−	17.5089i	1.27303	−	0.581374i	0.933283	+	0.359143i	$0.116931\pi$
$908$	−10.4141	+	10.5465i	−0.345604	+	0.349999i
$909$	2.30585	−	7.85300i	0.0764802	−	0.260468i
$910$	−46.9220	+	8.61882i	−1.55545	+	0.285711i
$911$	0.654460	−	4.55187i	0.0216832	−	0.150810i	−0.976103	−	0.217306i	$-0.930273\pi$
$911$	0.654460	−	4.55187i	0.0216832	−	0.150810i	0.997787	+	0.0664962i	$0.0211820\pi$
$912$	16.8822	+	2.20992i	0.559026	+	0.0731777i
$913$	−5.18511	+	11.3538i	−0.171602	+	0.375756i
$914$	−9.57452	+	8.97083i	−0.316697	+	0.296729i
$915$	2.81894	−	0.405302i	0.0931911	−	0.0133989i
$916$	−1.53517	−	19.7132i	−0.0507236	−	0.651342i
$917$	−11.7548	+	10.1856i	−0.388177	+	0.336357i
$918$	−18.3433	+	0.713167i	−0.605419	+	0.0235380i
$919$	12.9923			0.428576			0.214288	−	0.976771i	$-0.431257\pi$
$919$	12.9923			0.428576			0.214288	+	0.976771i	$0.431257\pi$
$920$	12.3712	+	12.9659i	0.407868	+	0.427474i
$921$	26.0375			0.857966
$922$	−57.4419	+	2.23327i	−1.89175	+	0.0735490i
$923$	−17.7181	+	15.3528i	−0.583199	+	0.505345i
$924$	−62.3601	+	4.85632i	−2.05150	+	0.159761i
$925$	21.3913	−	3.07561i	0.703342	−	0.101125i
$926$	−4.87349	+	4.56621i	−0.160153	+	0.150055i
$927$	−6.43855	+	14.0985i	−0.211470	+	0.463054i
$928$	−0.784016	−	0.310333i	−0.0257366	−	0.0101872i
$929$	7.60157	−	52.8701i	0.249399	−	1.73461i	−0.352299	−	0.935888i	$-0.614600\pi$
$929$	7.60157	−	52.8701i	0.249399	−	1.73461i	0.601698	−	0.798724i	$-0.294491\pi$
$930$	30.5392	−	5.60956i	1.00142	−	0.183945i
$931$	8.47961	−	28.8789i	0.277908	−	0.946468i
$932$	11.4367	+	11.2930i	0.374620	+	0.369915i
$933$	−54.7296	+	24.9942i	−1.79177	+	0.818272i
$934$	19.5729	−	47.6787i	0.640445	−	1.56009i
$935$	−10.2307	+	11.8068i	−0.334579	+	0.386125i
$936$	18.1696	−	7.72867i	0.593893	−	0.252619i
$937$	24.1611	+	15.5274i	0.789309	+	0.507258i	0.872111	−	0.489308i	$-0.162751\pi$
$937$	24.1611	+	15.5274i	0.789309	+	0.507258i	−0.0828019	+	0.996566i	$0.526387\pi$
$938$	4.75143	−	45.5483i	0.155140	−	1.48720i
$939$	−7.58146	−	11.7970i	−0.247412	−	0.384980i
$940$	−5.59684	+	1.25461i	−0.182549	+	0.0409208i
$941$	−12.9281	−	44.0289i	−0.421442	−	1.43530i	−0.847592	−	0.530648i	$-0.821948\pi$
$941$	−12.9281	−	44.0289i	−0.421442	−	1.43530i	0.426150	−	0.904653i	$-0.359870\pi$
$942$	−3.14461	+	12.4849i	−0.102457	+	0.406781i
$943$	13.4128	+	17.8148i	0.436780	+	0.580131i
$944$	37.8414	−	25.0005i	1.23163	−	0.813697i
$945$	21.0575	−	6.18304i	0.685000	−	0.201134i
$946$	22.8633	−	11.5350i	0.743351	−	0.375036i
$947$	3.34638	+	5.20708i	0.108743	+	0.169207i	0.891360	−	0.453296i	$-0.149752\pi$
$947$	3.34638	+	5.20708i	0.108743	+	0.169207i	−0.782617	+	0.622503i	$0.786116\pi$
$948$	−31.4721	−	11.5125i	−1.02217	−	0.373909i
$949$	18.7726	−	29.2107i	0.609383	−	0.948219i
$950$	5.92491	−	7.40010i	0.192229	−	0.240091i
$951$	5.19639	−	5.99695i	0.168505	−	0.194465i
$952$	−30.3247	−	36.9090i	−0.982828	−	1.19623i
$953$	0.189560	+	0.415079i	0.00614046	+	0.0134457i	0.912677	−	0.408681i	$-0.134011\pi$
$953$	0.189560	+	0.415079i	0.00614046	+	0.0134457i	−0.906537	+	0.422127i	$0.861284\pi$
$954$	−2.66612	−	1.57052i	−0.0863189	−	0.0508473i
$955$	−7.16187	+	24.3911i	−0.231753	+	0.789277i
$956$	−0.267448	+	4.10366i	−0.00864989	+	0.132722i
$957$	−0.992526	−	0.142704i	−0.0320838	−	0.00461296i
$958$	−15.6545	−	22.3954i	−0.505773	−	0.723561i
$959$	23.5336	−	51.5314i	0.759940	−	1.66404i
$960$	−10.1029	+	19.3661i	−0.326070	+	0.625037i
$961$	−4.79074	−	33.3204i	−0.154540	−	1.07485i
$962$	16.4426	+	48.8861i	0.530131	+	1.57615i
$963$	−12.4438	+	10.7826i	−0.400997	+	0.347466i
$964$	16.8283	+	3.54957i	0.542005	+	0.114324i
$965$			0.316541i			0.0101898i
$966$	−44.1209	+	47.9548i	−1.41957	+	1.54292i
$967$	1.19554			0.0384460			0.0192230	−	0.999815i	$-0.493881\pi$
$967$	1.19554			0.0384460			0.0192230	+	0.999815i	$0.493881\pi$
$968$	0.502298	−	1.02768i	0.0161445	−	0.0330310i
$969$	10.1262	+	11.6863i	0.325301	+	0.375417i
$970$	−30.8273	+	10.3686i	−0.989806	+	0.332916i
$971$	40.0490	−	5.75818i	1.28523	−	0.184789i	0.534373	−	0.845249i	$-0.320548\pi$
$971$	40.0490	−	5.75818i	1.28523	−	0.184789i	0.750861	+	0.660460i	$0.229639\pi$
$972$	−21.7294	+	12.0440i	−0.696972	+	0.386313i
$973$	−46.4755	−	21.2246i	−1.48994	−	0.680431i
$974$	−4.93289	−	7.05702i	−0.158060	−	0.226122i
$975$	5.25728	−	36.5652i	0.168368	−	1.17102i
$976$	3.53812	+	2.21114i	0.113253	+	0.0707768i
$977$	−16.9005	−	4.96244i	−0.540695	−	0.158762i	−2.93991e−5	−	1.00000i	$-0.500009\pi$
$977$	−16.9005	−	4.96244i	−0.540695	−	0.158762i	−0.540666	+	0.841238i	$0.681828\pi$
$978$	35.2331	−	59.8121i	1.12663	−	1.91258i
$979$	24.8542	−	11.3505i	0.794342	−	0.362764i
$980$	31.0567	+	22.9440i	0.992070	+	0.732919i
$981$	0.909378	+	0.787980i	0.0290342	+	0.0251583i
$982$	21.1265	−	26.3866i	0.674173	−	0.842029i
$983$	11.2551	+	7.23324i	0.358983	+	0.230705i	0.707683	−	0.706530i	$-0.249740\pi$
$983$	11.2551	+	7.23324i	0.358983	+	0.230705i	−0.348700	+	0.937234i	$0.613377\pi$
$984$	−15.2889	+	22.4719i	−0.487392	+	0.716377i
$985$	−15.8639	+	10.1951i	−0.505465	+	0.324843i
$986$	−0.344943	−	0.683703i	−0.0109852	−	0.0217736i
$987$	−5.87584	−	20.0113i	−0.187030	−	0.636966i
$988$	19.9250	+	10.7170i	0.633898	+	0.340953i
$989$	9.25441	−	25.0224i	0.294273	−	0.795666i
$990$	−1.88806	+	7.49609i	−0.0600064	+	0.238241i
$991$	−21.3180	+	6.25952i	−0.677188	+	0.198840i	−0.602201	−	0.798344i	$-0.705710\pi$
$991$	−21.3180	+	6.25952i	−0.677188	+	0.198840i	−0.0749864	+	0.997185i	$0.523891\pi$
$992$	39.4826	+	22.5906i	1.25358	+	0.717253i
$993$	57.4349	−	36.9111i	1.82264	−	1.17134i
$994$	27.9133	+	2.91182i	0.885357	+	0.0923572i
$995$	11.2639	−	17.5270i	0.357090	−	0.555643i
$996$	−12.6277	+	9.57811i	−0.400125	+	0.303494i
$997$	−16.5153	−	14.3106i	−0.523046	−	0.453222i	0.352879	−	0.935669i	$-0.385203\pi$
$997$	−16.5153	−	14.3106i	−0.523046	−	0.453222i	−0.875925	+	0.482447i	$0.839748\pi$
$998$	7.74979	−	18.8781i	0.245315	−	0.597577i
$999$	−9.85651	−	21.5827i	−0.311846	−	0.682848i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	184.2.p.a.101.13	yes	220
4.3	odd	2		736.2.x.a.561.5		220
8.3	odd	2		736.2.x.a.561.18		220
8.5	even	2	inner	184.2.p.a.101.9	✓	220
23.18	even	11	inner	184.2.p.a.133.9	yes	220
92.87	odd	22		736.2.x.a.593.18		220
184.133	even	22	inner	184.2.p.a.133.13	yes	220
184.179	odd	22		736.2.x.a.593.5		220

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
184.2.p.a.101.9	✓	220	8.5	even	2	inner
184.2.p.a.101.13	yes	220	1.1	even	1	trivial
184.2.p.a.133.9	yes	220	23.18	even	11	inner
184.2.p.a.133.13	yes	220	184.133	even	22	inner
736.2.x.a.561.5		220	4.3	odd	2
736.2.x.a.561.18		220	8.3	odd	2
736.2.x.a.593.5		220	184.179	odd	22
736.2.x.a.593.18		220	92.87	odd	22

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:	\( N \)	\(=\)	\( 184 = 2^{3} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	184.p (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(0.0549415 + 1.41315i) q^{2} +(1.56187 - 1.35337i) q^{3} +(-1.99396 + 0.155281i) q^{4} +(1.30771 - 0.188020i) q^{5} +(1.99832 + 2.13279i) q^{6} +(1.93127 - 4.22889i) q^{7} +(-0.328986 - 2.80923i) q^{8} +(0.180888 - 1.25811i) q^{9} +(0.337547 + 1.83765i) q^{10} +(-0.917064 + 3.12323i) q^{11} +(-2.90416 + 2.94109i) q^{12} +(-4.99596 + 2.28158i) q^{13} +(6.08214 + 2.49682i) q^{14} +(1.78801 - 2.06347i) q^{15} +(3.95178 - 0.619248i) q^{16} +(3.05609 + 1.96403i) q^{17} +(1.78783 + 0.186499i) q^{18} +(1.11353 + 1.73268i) q^{19} +(-2.57832 + 0.577967i) q^{20} +(-2.70685 - 9.21868i) q^{21} +(-4.46397 - 1.12435i) q^{22} +(-4.20285 + 2.30999i) q^{23} +(-4.31575 - 3.94241i) q^{24} +(-3.12272 + 0.916913i) q^{25} +(-3.49869 - 6.93467i) q^{26} +(1.93179 + 3.00592i) q^{27} +(-3.19421 + 8.73213i) q^{28} +(-0.0805869 + 0.125396i) q^{29} +(3.01422 + 2.41335i) q^{30} +(5.26595 - 6.07723i) q^{31} +(1.09220 + 5.55041i) q^{32} +(2.79455 + 6.11921i) q^{33} +(-2.60756 + 4.42661i) q^{34} +(1.73042 - 5.89326i) q^{35} +(-0.165325 + 2.53670i) q^{36} +(-6.57274 - 0.945018i) q^{37} +(-2.38735 + 1.66877i) q^{38} +(-4.71523 + 10.3249i) q^{39} +(-0.958408 - 3.61179i) q^{40} +(-0.661733 - 4.60245i) q^{41} +(12.8786 - 4.33166i) q^{42} +(-4.20419 + 3.64295i) q^{43} +(1.34361 - 6.37001i) q^{44} -1.67924i q^{45} +(-3.49526 - 5.81233i) q^{46} +2.17073 q^{47} +(5.33409 - 6.31539i) q^{48} +(-9.56965 - 11.0440i) q^{49} +(-1.46730 - 4.36248i) q^{50} +(7.43128 - 1.06846i) q^{51} +(9.60748 - 5.32516i) q^{52} +(-1.56586 - 0.715106i) q^{53} +(-4.14167 + 2.89505i) q^{54} +(-0.612021 + 4.25670i) q^{55} +(-12.5153 - 4.03413i) q^{56} +(4.08414 + 1.19921i) q^{57} +(-0.181630 - 0.106992i) q^{58} +(10.3139 - 4.71020i) q^{59} +(-3.24481 + 4.39213i) q^{60} +(0.788289 + 0.683056i) q^{61} +(8.87734 + 7.10767i) q^{62} +(-4.97104 - 3.19469i) q^{63} +(-7.78354 + 1.84839i) q^{64} +(-6.10427 + 3.92298i) q^{65} +(-8.49379 + 4.28530i) q^{66} +(-1.96238 - 6.68327i) q^{67} +(-6.39871 - 3.44165i) q^{68} +(-3.43804 + 9.29591i) q^{69} +(8.42311 + 2.12155i) q^{70} +(4.09570 - 1.20261i) q^{71} +(-3.59382 - 0.0942578i) q^{72} +(-5.31849 + 3.41799i) q^{73} +(0.974331 - 9.34016i) q^{74} +(-3.63636 + 5.65829i) q^{75} +(-2.48938 - 3.28199i) q^{76} +(11.4367 + 9.90995i) q^{77} +(-14.8497 - 6.09604i) q^{78} +(3.36807 + 7.37505i) q^{79} +(5.05133 - 1.55281i) q^{80} +(10.7440 + 3.15472i) q^{81} +(6.46758 - 1.18799i) q^{82} +(3.79551 + 0.545712i) q^{83} +(6.82884 + 17.9614i) q^{84} +(4.36575 + 1.99377i) q^{85} +(-5.37901 - 5.74099i) q^{86} +(0.0438403 + 0.304916i) q^{87} +(9.07557 + 1.54874i) q^{88} +(-5.49693 - 6.34379i) q^{89} +(2.37302 - 0.0922603i) q^{90} +25.5337i q^{91} +(8.02163 - 5.25865i) q^{92} -16.6186i q^{93} +(0.119263 + 3.06756i) q^{94} +(1.78195 + 2.05647i) q^{95} +(9.21763 + 7.19087i) q^{96} +(2.47737 + 17.2305i) q^{97} +(15.0810 - 14.1301i) q^{98} +(3.76347 + 1.71872i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 220 q - 11 q^{2} - 11 q^{4} - 14 q^{6} - 22 q^{7} - 14 q^{8} - 9 q^{10} - 12 q^{12} - 3 q^{14} - 22 q^{15} + 5 q^{16} - 18 q^{17} - 4 q^{18} - 27 q^{20} - 42 q^{22} - 16 q^{23} - 22 q^{24} - 4 q^{25} - 16 q^{26}+ \cdots + 109 q^{98}+O(q^{100}) \) 220 * q - 11 * q^2 - 11 * q^4 - 14 * q^6 - 22 * q^7 - 14 * q^8 - 9 * q^10 - 12 * q^12 - 3 * q^14 - 22 * q^15 + 5 * q^16 - 18 * q^17 - 4 * q^18 - 27 * q^20 - 42 * q^22 - 16 * q^23 - 22 * q^24 - 4 * q^25 - 16 * q^26 - 17 * q^28 - 37 * q^30 - 34 * q^31 - 11 * q^32 - 30 * q^33 - 23 * q^34 + 37 * q^36 - 78 * q^38 - 18 * q^39 + 99 * q^40 - 18 * q^41 - 77 * q^42 + 48 * q^44 - 99 * q^46 - 40 * q^47 + 116 * q^48 - 28 * q^49 - 60 * q^50 + 98 * q^52 - 114 * q^54 - 38 * q^55 + 66 * q^56 - 30 * q^57 - 51 * q^58 - 45 * q^60 + 18 * q^62 + 18 * q^63 - 14 * q^64 - 38 * q^65 - 12 * q^66 + 10 * q^68 - 38 * q^70 - 26 * q^71 + 55 * q^72 - 18 * q^73 + 10 * q^74 + 72 * q^76 + 42 * q^78 - 22 * q^79 + 66 * q^80 - 52 * q^81 + 64 * q^82 + 125 * q^84 + 121 * q^86 - 42 * q^87 + 17 * q^88 - 2 * q^89 + 204 * q^90 + 88 * q^92 + 105 * q^94 - 78 * q^95 + 157 * q^96 - 18 * q^97 + 109 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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