LMFDB - Embedded newform 260.2.bg.c.23.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(23,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 10]))

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

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

chi := DirichletCharacter("260.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bg (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

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

Self dual:	no
Analytic conductor:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			23.8
Character	$\chi$	$=$	260.23
Dual form			260.2.bg.c.147.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.23451 + 0.689918i) q^{2} +(-2.57063 - 0.688800i) q^{3} +(1.04803 - 1.70342i) q^{4} +(-1.36165 + 1.77367i) q^{5} +(3.64869 - 0.923198i) q^{6} +(0.948066 + 3.53823i) q^{7} +(-0.118577 + 2.82594i) q^{8} +(3.53564 + 2.04130i) q^{9} +O(q^{10})$	\(q+(-1.23451 + 0.689918i) q^{2} +(-2.57063 - 0.688800i) q^{3} +(1.04803 - 1.70342i) q^{4} +(-1.36165 + 1.77367i) q^{5} +(3.64869 - 0.923198i) q^{6} +(0.948066 + 3.53823i) q^{7} +(-0.118577 + 2.82594i) q^{8} +(3.53564 + 2.04130i) q^{9} +(0.457283 - 3.12904i) q^{10} +(-2.08202 - 3.60616i) q^{11} +(-3.86741 + 3.65699i) q^{12} +(0.735753 - 3.52968i) q^{13} +(-3.61148 - 3.71389i) q^{14} +(4.72201 - 3.62156i) q^{15} +(-1.80328 - 3.57046i) q^{16} +(-0.718738 - 2.68237i) q^{17} +(-5.77312 - 0.0807049i) q^{18} +(-1.41368 - 0.816190i) q^{19} +(1.59426 + 4.17832i) q^{20} -9.74852i q^{21} +(5.05822 + 3.01541i) q^{22} +(-5.91356 - 1.58453i) q^{23} +(2.25132 - 7.18279i) q^{24} +(-1.29181 - 4.83024i) q^{25} +(1.52690 + 4.86504i) q^{26} +(-2.03729 - 2.03729i) q^{27} +(7.02069 + 2.09320i) q^{28} +(3.41585 - 1.97214i) q^{29} +(-3.33079 + 7.72864i) q^{30} +7.48883 q^{31} +(4.68949 + 3.16365i) q^{32} +(2.86818 + 10.7042i) q^{33} +(2.73790 + 2.81554i) q^{34} +(-7.56659 - 3.13628i) q^{35} +(7.18264 - 3.88335i) q^{36} +(0.698203 - 2.60573i) q^{37} +(2.30831 + 0.0322688i) q^{38} +(-4.32260 + 8.56674i) q^{39} +(-4.85083 - 4.05826i) q^{40} +(-5.61226 + 3.24024i) q^{41} +(6.72568 + 12.0346i) q^{42} +(-1.66481 - 6.21314i) q^{43} +(-8.32481 - 0.232798i) q^{44} +(-8.43491 + 3.49152i) q^{45} +(8.39354 - 2.12375i) q^{46} +(6.17535 - 6.17535i) q^{47} +(2.17625 + 10.4204i) q^{48} +(-5.55806 + 3.20895i) q^{49} +(4.92723 + 5.07173i) q^{50} +7.39045i q^{51} +(-5.24145 - 4.95250i) q^{52} +(-6.68851 - 6.68851i) q^{53} +(3.92062 + 1.10949i) q^{54} +(9.23111 + 1.21752i) q^{55} +(-10.1112 + 2.25962i) q^{56} +(3.07187 + 3.07187i) q^{57} +(-2.85628 + 4.79129i) q^{58} +(1.51080 + 0.872263i) q^{59} +(-1.22024 - 11.8391i) q^{60} +(-0.409660 + 0.709552i) q^{61} +(-9.24503 + 5.16668i) q^{62} +(-3.87058 + 14.4452i) q^{63} +(-7.97188 - 0.670182i) q^{64} +(5.25866 + 6.11118i) q^{65} +(-10.9258 - 11.2356i) q^{66} +(-5.91166 - 1.58403i) q^{67} +(-5.32246 - 1.58688i) q^{68} +(14.1102 + 8.14652i) q^{69} +(11.5048 - 1.34856i) q^{70} +(-0.654871 + 1.13427i) q^{71} +(-6.18785 + 9.74946i) q^{72} +(1.33457 - 1.33457i) q^{73} +(0.935801 + 3.69850i) q^{74} +(-0.00628282 + 13.3066i) q^{75} +(-2.87189 + 1.55271i) q^{76} +(10.7855 - 10.7855i) q^{77} +(-0.574067 - 13.5580i) q^{78} -1.08018 q^{79} +(8.78826 + 1.66329i) q^{80} +(-2.29007 - 3.96651i) q^{81} +(4.69289 - 7.87211i) q^{82} +(2.66219 + 2.66219i) q^{83} +(-16.6058 - 10.2167i) q^{84} +(5.73631 + 2.37764i) q^{85} +(6.34178 + 6.52160i) q^{86} +(-10.1393 + 2.71682i) q^{87} +(10.4377 - 5.45605i) q^{88} +(-4.69340 - 8.12921i) q^{89} +(8.00411 - 10.1297i) q^{90} +(13.1864 - 0.743111i) q^{91} +(-8.89669 + 8.41265i) q^{92} +(-19.2510 - 5.15830i) q^{93} +(-3.36304 + 11.8840i) q^{94} +(3.37260 - 1.39604i) q^{95} +(-9.87586 - 11.3627i) q^{96} +(-1.75239 + 0.469552i) q^{97} +(4.64756 - 7.79608i) q^{98} -17.0001i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) $ 144 * q - 6 * q^2 - 12 * q^6	$ 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

Coefficient data

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

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

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

$2$	−1.23451	+	0.689918i	−0.872930	+	0.487846i
$2$	−1.23451	+	0.689918i	−0.872930	+	0.487846i
$3$	−2.57063	−	0.688800i	−1.48416	−	0.397679i	−0.576397	−	0.817170i	$-0.695542\pi$
$3$	−2.57063	−	0.688800i	−1.48416	−	0.397679i	−0.907759	+	0.419491i	$0.862209\pi$
$4$	1.04803	−	1.70342i	0.524013	−	0.851710i
$5$	−1.36165	+	1.77367i	−0.608949	+	0.793210i
$5$	−1.36165	+	1.77367i	−0.608949	+	0.793210i
$6$	3.64869	−	0.923198i	1.48957	−	0.376894i
$7$	0.948066	+	3.53823i	0.358335	+	1.33732i	0.876235	+	0.481884i	$0.160047\pi$
$7$	0.948066	+	3.53823i	0.358335	+	1.33732i	−0.517900	+	0.855441i	$0.673286\pi$
$8$	−0.118577	+	2.82594i	−0.0419233	+	0.999121i
$9$	3.53564	+	2.04130i	1.17855	+	0.680435i
$10$	0.457283	−	3.12904i	0.144606	−	0.989489i
$11$	−2.08202	−	3.60616i	−0.627751	−	1.08730i	−0.988002	−	0.154442i	$-0.950642\pi$
$11$	−2.08202	−	3.60616i	−0.627751	−	1.08730i	0.360250	−	0.932856i	$-0.382691\pi$
$12$	−3.86741	+	3.65699i	−1.11642	+	1.05568i
$13$	0.735753	−	3.52968i	0.204061	−	0.978958i
$13$	0.735753	−	3.52968i	0.204061	−	0.978958i
$14$	−3.61148	−	3.71389i	−0.965210	−	0.992578i
$15$	4.72201	−	3.62156i	1.21922	−	0.935081i
$16$	−1.80328	−	3.57046i	−0.450821	−	0.892614i
$17$	−0.718738	−	2.68237i	−0.174320	−	0.650570i	−0.996667	−	0.0815832i	$-0.974002\pi$
$17$	−0.718738	−	2.68237i	−0.174320	−	0.650570i	0.822347	−	0.568986i	$-0.192664\pi$
$18$	−5.77312	−	0.0807049i	−1.36074	−	0.0190223i
$19$	−1.41368	−	0.816190i	−0.324321	−	0.187247i	0.328996	−	0.944331i	$-0.393290\pi$
$19$	−1.41368	−	0.816190i	−0.324321	−	0.187247i	−0.653317	+	0.757084i	$0.726623\pi$
$20$	1.59426	+	4.17832i	0.356488	+	0.934300i
$21$		−	9.74852i		−	2.12730i
$22$	5.05822	+	3.01541i	1.07842	+	0.642888i
$23$	−5.91356	−	1.58453i	−1.23306	−	0.330398i	−0.417291	−	0.908773i	$-0.637021\pi$
$23$	−5.91356	−	1.58453i	−1.23306	−	0.330398i	−0.815771	+	0.578375i	$0.803687\pi$
$24$	2.25132	−	7.18279i	0.459550	−	1.46618i
$25$	−1.29181	−	4.83024i	−0.258363	−	0.966048i
$26$	1.52690	+	4.86504i	0.299450	+	0.954112i
$27$	−2.03729	−	2.03729i	−0.392077	−	0.392077i
$28$	7.02069	+	2.09320i	1.32679	+	0.395578i
$29$	3.41585	−	1.97214i	0.634308	−	0.366218i	−0.148110	−	0.988971i	$-0.547319\pi$
$29$	3.41585	−	1.97214i	0.634308	−	0.366218i	0.782419	+	0.622753i	$0.213986\pi$
$30$	−3.33079	+	7.72864i	−0.608116	+	1.41105i
$31$	7.48883			1.34503			0.672517	−	0.740082i	$-0.265213\pi$
$31$	7.48883			1.34503			0.672517	+	0.740082i	$0.265213\pi$
$32$	4.68949	+	3.16365i	0.828993	+	0.559259i
$33$	2.86818	+	10.7042i	0.499287	+	1.86336i
$34$	2.73790	+	2.81554i	0.469546	+	0.482861i
$35$	−7.56659	−	3.13628i	−1.27899	−	0.530127i
$36$	7.18264	−	3.88335i	1.19711	−	0.647224i
$37$	0.698203	−	2.60573i	0.114784	−	0.428379i	−0.884487	−	0.466565i	$-0.845491\pi$
$37$	0.698203	−	2.60573i	0.114784	−	0.428379i	0.999271	+	0.0381861i	$0.0121580\pi$
$38$	2.30831	+	0.0322688i	0.374457	+	0.00523470i
$39$	−4.32260	+	8.56674i	−0.692169	+	1.37178i
$40$	−4.85083	−	4.05826i	−0.766983	−	0.641667i
$41$	−5.61226	+	3.24024i	−0.876488	+	0.506041i	−0.869499	−	0.493935i	$-0.835558\pi$
$41$	−5.61226	+	3.24024i	−0.876488	+	0.506041i	−0.00698908	+	0.999976i	$0.502225\pi$
$42$	6.72568	+	12.0346i	1.03780	+	1.85699i
$43$	−1.66481	−	6.21314i	−0.253881	−	0.947495i	−0.968710	−	0.248196i	$-0.920162\pi$
$43$	−1.66481	−	6.21314i	−0.253881	−	0.947495i	0.714829	−	0.699299i	$-0.246504\pi$
$44$	−8.32481	−	0.232798i	−1.25501	−	0.0350956i
$45$	−8.43491	+	3.49152i	−1.25740	+	0.520485i
$46$	8.39354	−	2.12375i	1.23756	−	0.313130i
$47$	6.17535	−	6.17535i	0.900767	−	0.900767i	−0.0947355	−	0.995502i	$-0.530201\pi$
$47$	6.17535	−	6.17535i	0.900767	−	0.900767i	0.995502	+	0.0947355i	$0.0302005\pi$
$48$	2.17625	+	10.4204i	0.314115	+	1.50406i
$49$	−5.55806	+	3.20895i	−0.794008	+	0.458421i
$50$	4.92723	+	5.07173i	0.696815	+	0.717251i
$51$			7.39045i			1.03487i
$52$	−5.24145	−	4.95250i	−0.726858	−	0.686788i
$53$	−6.68851	−	6.68851i	−0.918737	−	0.918737i	0.0782004	−	0.996938i	$-0.475083\pi$
$53$	−6.68851	−	6.68851i	−0.918737	−	0.918737i	−0.996938	+	0.0782004i	$0.975083\pi$
$54$	3.92062	+	1.10949i	0.533528	+	0.150982i
$55$	9.23111	+	1.21752i	1.24472	+	0.164170i
$56$	−10.1112	+	2.25962i	−1.35117	+	0.301955i
$57$	3.07187	+	3.07187i	0.406879	+	0.406879i
$58$	−2.85628	+	4.79129i	−0.375049	+	0.629127i
$59$	1.51080	+	0.872263i	0.196690	+	0.113559i	0.595111	−	0.803644i	$-0.297108\pi$
$59$	1.51080	+	0.872263i	0.196690	+	0.113559i	−0.398421	+	0.917203i	$0.630442\pi$
$60$	−1.22024	−	11.8391i	−0.157533	−	1.52842i
$61$	−0.409660	+	0.709552i	−0.0524516	+	0.0908489i	−0.891059	−	0.453887i	$-0.850037\pi$
$61$	−0.409660	+	0.709552i	−0.0524516	+	0.0908489i	0.838607	+	0.544736i	$0.183370\pi$
$62$	−9.24503	+	5.16668i	−1.17412	+	0.656169i
$63$	−3.87058	+	14.4452i	−0.487647	+	1.81992i
$64$	−7.97188	−	0.670182i	−0.996485	−	0.0837728i
$65$	5.25866	+	6.11118i	0.652256	+	0.757998i
$66$	−10.9258	−	11.2356i	−1.34488	−	1.38301i
$67$	−5.91166	−	1.58403i	−0.722224	−	0.193519i	−0.121060	−	0.992645i	$-0.538629\pi$
$67$	−5.91166	−	1.58403i	−0.722224	−	0.193519i	−0.601164	+	0.799126i	$0.705296\pi$
$68$	−5.32246	−	1.58688i	−0.645443	−	0.192437i
$69$	14.1102	+	8.14652i	1.69867	+	0.980725i
$70$	11.5048	−	1.34856i	1.37509	−	0.161184i
$71$	−0.654871	+	1.13427i	−0.0777188	+	0.134613i	−0.902265	−	0.431181i	$-0.858097\pi$
$71$	−0.654871	+	1.13427i	−0.0777188	+	0.134613i	0.824547	+	0.565794i	$0.191430\pi$
$72$	−6.18785	+	9.74946i	−0.729245	+	1.14899i
$73$	1.33457	−	1.33457i	0.156199	−	0.156199i	−0.624681	−	0.780880i	$-0.714771\pi$
$73$	1.33457	−	1.33457i	0.156199	−	0.156199i	0.780880	+	0.624681i	$0.214771\pi$
$74$	0.935801	+	3.69850i	0.108785	+	0.429942i
$75$	−0.00628282	+	13.3066i	−0.000725478	+	1.53651i
$76$	−2.87189	+	1.55271i	−0.329429	+	0.178108i
$77$	10.7855	−	10.7855i	1.22912	−	1.22912i
$78$	−0.574067	−	13.5580i	−0.0650003	−	1.53514i
$79$	−1.08018			−0.121530			−0.0607651	−	0.998152i	$-0.519354\pi$
$79$	−1.08018			−0.121530			−0.0607651	+	0.998152i	$0.519354\pi$
$80$	8.78826	+	1.66329i	0.982557	+	0.185961i
$81$	−2.29007	−	3.96651i	−0.254452	−	0.440724i
$82$	4.69289	−	7.87211i	0.518243	−	0.869329i
$83$	2.66219	+	2.66219i	0.292214	+	0.292214i	0.837954	−	0.545741i	$-0.183752\pi$
$83$	2.66219	+	2.66219i	0.292214	+	0.292214i	−0.545741	+	0.837954i	$0.683752\pi$
$84$	−16.6058	−	10.2167i	−1.81184	−	1.11473i
$85$	5.73631	+	2.37764i	0.622190	+	0.257892i
$86$	6.34178	+	6.52160i	0.683851	+	0.703242i
$87$	−10.1393	+	2.71682i	−1.08705	+	0.291274i
$88$	10.4377	−	5.45605i	1.11266	−	0.581617i
$89$	−4.69340	−	8.12921i	−0.497499	−	0.861694i	0.502496	−	0.864579i	$-0.332415\pi$
$89$	−4.69340	−	8.12921i	−0.497499	−	0.861694i	−0.999996	+	0.00288511i	$0.999082\pi$
$90$	8.00411	−	10.1297i	0.843707	−	1.06777i
$91$	13.1864	−	0.743111i	1.38231	−	0.0778992i
$92$	−8.89669	+	8.41265i	−0.927544	+	0.877079i
$93$	−19.2510	−	5.15830i	−1.99624	−	0.534891i
$94$	−3.36304	+	11.8840i	−0.346871	+	1.22574i
$95$	3.37260	−	1.39604i	0.346021	−	0.143231i
$96$	−9.87586	−	11.3627i	−1.00795	−	1.15970i
$97$	−1.75239	+	0.469552i	−0.177928	+	0.0476758i	−0.346683	−	0.937982i	$-0.612692\pi$
$97$	−1.75239	+	0.469552i	−0.177928	+	0.0476758i	0.168755	+	0.985658i	$0.446025\pi$
$98$	4.64756	−	7.79608i	0.469475	−	0.787523i
$99$		−	17.0001i		−	1.70858i
$100$	−9.58178	−	2.86171i	−0.958178	−	0.286171i
$101$	9.34206	+	16.1809i	0.929569	+	1.61006i	0.784043	+	0.620707i	$0.213154\pi$
$101$	9.34206	+	16.1809i	0.929569	+	1.61006i	0.145527	+	0.989354i	$0.453512\pi$
$102$	−5.09881	−	9.12358i	−0.504857	−	0.903369i
$103$	−2.83468	+	2.83468i	−0.279309	+	0.279309i	−0.832833	−	0.553524i	$-0.813283\pi$
$103$	−2.83468	+	2.83468i	−0.279309	+	0.279309i	0.553524	+	0.832833i	$0.313283\pi$
$104$	9.88743	+	2.49773i	0.969543	+	0.244923i
$105$	17.2907	+	13.2741i	1.68740	+	1.29542i
$106$	12.8715	+	3.64250i	1.25020	+	0.353791i
$107$	−2.01689	+	7.52714i	−0.194980	+	0.727676i	0.797292	+	0.603594i	$0.206265\pi$
$107$	−2.01689	+	7.52714i	−0.194980	+	0.727676i	−0.992272	+	0.124082i	$0.960401\pi$
$108$	−5.60550	+	1.33523i	−0.539389	+	0.128483i
$109$	−19.4092			−1.85906			−0.929531	−	0.368745i	$-0.879787\pi$
$109$	−19.4092			−1.85906			−0.929531	+	0.368745i	$0.879787\pi$
$110$	−12.2359	+	4.86568i	−1.16665	+	0.463924i
$111$	−3.58965	+	6.21745i	−0.340714	+	0.590135i
$112$	10.9235	−	9.76546i	1.03217	−	0.922749i
$113$	−6.61097	+	1.77140i	−0.621908	+	0.166640i	−0.555995	−	0.831186i	$-0.687663\pi$
$113$	−6.61097	+	1.77140i	−0.621908	+	0.166640i	−0.0659128	+	0.997825i	$0.520996\pi$
$114$	−5.91159	−	1.67291i	−0.553671	−	0.156683i
$115$	10.8626	−	8.33113i	1.01295	−	0.776882i
$116$	0.220512	−	7.88549i	0.0204741	−	0.732150i
$117$	9.80652	−	10.9778i	0.906613	−	1.01490i
$118$	−2.46689	−	0.0344857i	−0.227096	−	0.00317467i
$119$	8.80942	−	5.08612i	0.807558	−	0.466244i
$120$	9.67438	+	13.7736i	0.883146	+	1.25735i
$121$	−3.16958	+	5.48988i	−0.288144	+	0.499080i
$122$	0.0161963	−	1.15858i	0.00146634	−	0.104893i
$123$	16.6589	−	4.46375i	1.50209	−	0.402483i
$124$	7.84849	−	12.7566i	0.704815	−	1.14558i
$125$	10.3263	+	4.28585i	0.923608	+	0.383338i
$126$	−5.18774	−	20.5031i	−0.462161	−	1.82656i
$127$	4.24780	−	15.8530i	0.376931	−	1.40673i	−0.473571	−	0.880756i	$-0.657035\pi$
$127$	4.24780	−	15.8530i	0.376931	−	1.40673i	0.850502	−	0.525971i	$-0.176298\pi$
$128$	10.3037	−	4.67260i	0.910730	−	0.413003i
$129$			17.1184i			1.50719i
$130$	−10.7081	−	3.91626i	−0.939160	−	0.343479i
$131$		−	9.98404i		−	0.872310i	−0.899872	−	0.436155i	$-0.856340\pi$
$131$		−	9.98404i		−	0.872310i	0.899872	−	0.436155i	$-0.143660\pi$
$132$	21.2397	+	6.33256i	1.84868	+	0.551179i
$133$	1.54760	−	5.77574i	0.134194	−	0.500820i
$134$	8.39085	−	2.12307i	0.724859	−	0.183405i
$135$	6.38756	−	0.839404i	0.549754	−	0.0722444i
$136$	7.66544	−	1.71304i	0.657306	−	0.146892i
$137$	−1.31775	+	0.353089i	−0.112583	+	0.0301664i	−0.314671	−	0.949201i	$-0.601894\pi$
$137$	−1.31775	+	0.353089i	−0.112583	+	0.0301664i	0.202088	+	0.979367i	$0.435227\pi$
$138$	−23.0396	−	0.322080i	−1.96126	−	0.0274173i
$139$	−0.416311	+	0.721071i	−0.0353110	+	0.0611605i	−0.883141	−	0.469108i	$-0.844576\pi$
$139$	−0.416311	+	0.721071i	−0.0353110	+	0.0611605i	0.847830	+	0.530268i	$0.177909\pi$
$140$	−13.2724	+	9.60218i	−1.12172	+	0.811532i
$141$	−20.1281	+	11.6210i	−1.69510	+	0.978664i
$142$	0.0258909	−	1.85207i	0.00217272	−	0.155422i
$143$	−14.2604	+	4.69562i	−1.19252	+	0.392667i
$144$	0.912625	−	16.3049i	0.0760521	−	1.35874i
$145$	−1.15327	+	8.74397i	−0.0957735	+	0.726147i
$146$	−0.726794	+	2.56828i	−0.0601499	+	0.212552i
$147$	16.4981	−	4.42064i	1.36074	−	0.364608i
$148$	−3.70692	−	3.92020i	−0.304707	−	0.322239i
$149$	2.09938	−	3.63623i	0.171988	−	0.297891i	−0.767127	−	0.641495i	$-0.778314\pi$
$149$	2.09938	−	3.63623i	0.171988	−	0.297891i	0.939115	+	0.343604i	$0.111648\pi$
$150$	−9.17270	−	16.4314i	−0.748948	−	1.34162i
$151$	−5.20864			−0.423873			−0.211937	−	0.977283i	$-0.567977\pi$
$151$	−5.20864			−0.423873			−0.211937	+	0.977283i	$0.567977\pi$
$152$	2.47414	−	3.89820i	0.200679	−	0.316186i
$153$	2.93433	−	10.9511i	0.237226	−	0.885340i
$154$	−5.87370	+	20.7560i	−0.473316	+	1.67256i
$155$	−10.1972	+	13.2827i	−0.819056	+	1.06689i
$156$	10.0626	+	16.3414i	0.805651	+	1.30836i
$157$	−11.6438	+	11.6438i	−0.929276	+	0.929276i	−0.997659	−	0.0683831i	$-0.978216\pi$
$157$	−11.6438	+	11.6438i	−0.929276	+	0.929276i	0.0683831	+	0.997659i	$0.478216\pi$
$158$	1.33350	−	0.745239i	0.106087	−	0.0592880i
$159$	12.5867	+	21.8008i	0.998188	+	1.72891i
$160$	−11.9967	+	4.00984i	−0.948424	+	0.317005i
$161$		−	22.4258i		−	1.76740i
$162$	5.56368	+	3.31674i	0.437124	+	0.260588i
$163$	−3.09288	+	0.828735i	−0.242253	+	0.0649115i	−0.377903	−	0.925845i	$-0.623355\pi$
$163$	−3.09288	+	0.828735i	−0.242253	+	0.0649115i	0.135649	+	0.990757i	$0.456688\pi$
$164$	−0.362303	+	12.9559i	−0.0282911	+	1.01169i
$165$	−22.8912	−	9.48818i	−1.78208	−	0.738654i
$166$	−5.12320	−	1.44981i	−0.397637	−	0.112527i
$167$	−13.8930	−	3.72262i	−1.07507	−	0.288065i	−0.322497	−	0.946570i	$-0.604522\pi$
$167$	−13.8930	−	3.72262i	−1.07507	−	0.288065i	−0.752576	+	0.658506i	$0.771189\pi$
$168$	27.5487	+	1.15595i	2.12543	+	0.0891834i
$169$	−11.9173	−	5.19395i	−0.916718	−	0.399534i
$170$	−8.72190	+	1.02236i	−0.668939	+	0.0784114i
$171$	−3.33219	−	5.77151i	−0.254819	−	0.441359i
$172$	−12.3283	−	3.67567i	−0.940028	−	0.280267i
$173$	14.3317	−	3.84018i	1.08962	−	0.291963i	0.331090	−	0.943599i	$-0.392584\pi$
$173$	14.3317	−	3.84018i	1.08962	−	0.291963i	0.758532	+	0.651636i	$0.225917\pi$
$174$	10.6427	−	10.3492i	0.806821	−	0.784574i
$175$	15.8658	−	9.15012i	1.19934	−	0.691684i
$176$	−9.12117	+	13.9367i	−0.687534	+	1.05052i
$177$	−3.28291	−	3.28291i	−0.246759	−	0.246759i
$178$	11.4025	+	6.79752i	0.854656	+	0.509496i
$179$	−7.59713	−	13.1586i	−0.567836	−	0.983521i	−0.996780	−	0.0801898i	$-0.974447\pi$
$179$	−7.59713	−	13.1586i	−0.567836	−	0.983521i	0.428943	−	0.903331i	$-0.358886\pi$
$180$	−2.89248	+	18.0274i	−0.215592	+	1.34368i
$181$	−17.0198			−1.26507			−0.632535	−	0.774532i	$-0.717985\pi$
$181$	−17.0198			−1.26507			−0.632535	+	0.774532i	$0.717985\pi$
$182$	−15.7660	+	10.0149i	−1.16865	+	0.742353i
$183$	1.54183	−	1.54183i	0.113975	−	0.113975i
$184$	5.17901	−	16.5235i	0.381802	−	1.21813i
$185$	3.67100	+	4.78647i	0.269897	+	0.351909i
$186$	27.3244	−	6.91367i	2.00352	−	0.506935i
$187$	−8.17662	+	8.17662i	−0.597933	+	0.597933i
$188$	−4.04729	−	16.9911i	−0.295179	−	1.23921i
$189$	5.27692	−	9.13989i	0.383839	−	0.664829i
$190$	−3.20035	+	4.05024i	−0.232177	+	0.293835i
$191$	4.77562	+	2.75721i	0.345552	+	0.199505i	0.662724	−	0.748863i	$-0.269400\pi$
$191$	4.77562	+	2.75721i	0.345552	+	0.199505i	−0.317172	+	0.948368i	$0.602733\pi$
$192$	20.0312	+	7.21382i	1.44563	+	0.520613i
$193$	21.9262	+	5.87512i	1.57828	+	0.422900i	0.938394	−	0.345566i	$-0.112313\pi$
$193$	21.9262	+	5.87512i	1.57828	+	0.422900i	0.639890	+	0.768466i	$0.278980\pi$
$194$	1.83939	−	1.78867i	0.132061	−	0.128419i
$195$	−9.30871	−	19.3318i	−0.666611	−	1.38438i
$196$	−0.358804	+	12.8308i	−0.0256288	+	0.916484i
$197$	0.843396	−	3.14759i	0.0600894	−	0.224257i	−0.929351	−	0.369198i	$-0.879633\pi$
$197$	0.843396	−	3.14759i	0.0600894	−	0.224257i	0.989440	+	0.144941i	$0.0462992\pi$
$198$	11.7287	+	20.9868i	0.833521	+	1.49147i
$199$	5.29390	−	9.16930i	0.375274	−	0.649994i	−0.615094	−	0.788454i	$-0.710882\pi$
$199$	5.29390	−	9.16930i	0.375274	−	0.649994i	0.990368	+	0.138460i	$0.0442152\pi$
$200$	13.8031	−	3.07784i	0.976030	−	0.217636i
$201$	14.1056	+	8.14390i	0.994936	+	0.574426i
$202$	−22.6964	−	13.5302i	−1.59691	−	0.951984i
$203$	10.2164	+	10.2164i	0.717047	+	0.717047i
$204$	12.5891	+	7.74539i	0.881410	+	0.542286i
$205$	1.89482	−	14.3664i	0.132340	−	1.00339i
$206$	1.54374	−	5.45514i	0.107558	−	0.380078i
$207$	−17.6737	−	17.6737i	−1.22841	−	1.22841i
$208$	−13.9294	+	3.73805i	−0.965827	+	0.259187i
$209$			6.79729i			0.470178i
$210$	−30.5035	−	4.45783i	−2.10494	−	0.307620i
$211$	−18.8309	+	10.8720i	−1.29637	+	0.748460i	−0.979775	−	0.200100i	$-0.935873\pi$
$211$	−18.8309	+	10.8720i	−1.29637	+	0.748460i	−0.316596	+	0.948561i	$0.602540\pi$
$212$	−18.4031	+	4.38361i	−1.26393	+	0.301068i
$213$	2.46472	−	2.46472i	0.168880	−	0.168880i
$214$	−2.70324	−	10.6838i	−0.184790	−	0.730330i
$215$	13.2869	+	5.50731i	0.906162	+	0.375595i
$216$	5.99884	−	5.51569i	0.408169	−	0.375295i
$217$	7.09990	+	26.4972i	0.481973	+	1.79875i
$218$	23.9608	−	13.3907i	1.62283	−	0.906935i
$219$	−4.34994	+	2.51144i	−0.293942	+	0.169707i
$220$	11.7484	−	14.4485i	0.792076	−	0.974116i
$221$	−9.99672	+	0.563360i	−0.672452	+	0.0378957i
$222$	0.141920	−	10.1521i	0.00952505	−	0.681362i
$223$	0.979610	−	3.65595i	0.0655995	−	0.244821i	−0.925338	−	0.379143i	$-0.876219\pi$
$223$	0.979610	−	3.65595i	0.0655995	−	0.244821i	0.990938	+	0.134322i	$0.0428856\pi$
$224$	−6.74775	+	19.5918i	−0.450853	+	1.30904i
$225$	5.29259	−	19.7150i	0.352840	−	1.31433i
$226$	6.93918	−	6.74784i	0.461587	−	0.448860i
$227$	−1.89718	−	7.08038i	−0.125920	−	0.469942i	0.873950	−	0.486015i	$-0.161550\pi$
$227$	−1.89718	−	7.08038i	−0.125920	−	0.469942i	−0.999871	+	0.0160737i	$0.994883\pi$
$228$	8.45209	−	2.01329i	0.559753	−	0.133333i
$229$	4.43974			0.293386			0.146693	−	0.989182i	$-0.453137\pi$
$229$	4.43974			0.293386			0.146693	+	0.989182i	$0.453137\pi$
$230$	−7.66224	+	17.7792i	−0.505233	+	1.17233i
$231$	−35.1547	+	20.2966i	−2.31301	+	1.33542i
$232$	5.16812	+	9.88685i	0.339304	+	0.649104i
$233$	11.9145	+	11.9145i	0.780546	+	0.780546i	0.979923	−	0.199377i	$-0.0638917\pi$
$233$	11.9145	+	11.9145i	0.780546	+	0.780546i	−0.199377	+	0.979923i	$0.563892\pi$
$234$	−4.53245	+	20.3179i	−0.296295	+	1.32822i
$235$	2.54437	+	19.3617i	0.165976	+	1.26302i
$236$	3.06919	−	1.65938i	0.199787	−	0.108016i
$237$	2.77676	+	0.744031i	0.180370	+	0.0483300i
$238$	−7.36630	+	12.3566i	−0.477486	+	0.800962i
$239$		−	13.0193i		−	0.842149i	−0.907026	−	0.421074i	$-0.861653\pi$
$239$		−	13.0193i		−	0.842149i	0.907026	−	0.421074i	$-0.138347\pi$
$240$	−21.4457	−	10.3290i	−1.38432	−	0.666737i
$241$	5.07973	+	2.93278i	0.327214	+	0.188917i	0.654604	−	0.755972i	$-0.272836\pi$
$241$	5.07973	+	2.93278i	0.327214	+	0.188917i	−0.327389	+	0.944890i	$0.606169\pi$
$242$	0.125312	−	8.96406i	0.00805539	−	0.576231i
$243$	5.39189	+	20.1228i	0.345890	+	1.29088i
$244$	0.779332	+	1.44145i	0.0498916	+	0.0922796i
$245$	1.87652	−	14.2276i	0.119886	−	0.908970i
$246$	−17.4860	+	17.0039i	−1.11487	+	1.08413i
$247$	−3.92101	+	4.38934i	−0.249488	+	0.279287i
$248$	−0.888002	+	21.1630i	−0.0563882	+	1.34385i
$249$	−5.00981	−	8.67724i	−0.317484	−	0.549898i
$250$	−15.7047	+	1.83335i	−0.993255	+	0.115952i
$251$	8.25358	+	4.76520i	0.520961	+	0.300777i	0.737328	−	0.675535i	$-0.236087\pi$
$251$	8.25358	+	4.76520i	0.520961	+	0.300777i	−0.216367	+	0.976312i	$0.569421\pi$
$252$	20.5498	+	21.7322i	1.29451	+	1.36900i
$253$	6.59805	+	24.6243i	0.414816	+	1.54811i
$254$	5.69333	+	22.5013i	0.357231	+	1.41186i
$255$	−13.1082	−	10.0632i	−0.820869	−	0.630183i
$256$	−9.49634	+	12.8771i	−0.593521	+	0.804818i
$257$	0.835336	+	0.223828i	0.0521068	+	0.0139620i	0.284778	−	0.958593i	$-0.408080\pi$
$257$	0.835336	+	0.223828i	0.0521068	+	0.0139620i	−0.232671	+	0.972555i	$0.574747\pi$
$258$	−11.8103	−	21.1329i	−0.735278	−	1.31567i
$259$	9.88161			0.614013
$260$	15.9211	−	2.55303i	0.987386	−	0.158332i
$261$	16.1030			0.996750
$262$	6.88817	+	12.3254i	0.425553	+	0.761465i
$263$	−3.63781	−	0.974749i	−0.224317	−	0.0601056i	0.144910	−	0.989445i	$-0.453711\pi$
$263$	−3.63781	−	0.974749i	−0.224317	−	0.0601056i	−0.369227	+	0.929339i	$0.620377\pi$
$264$	−30.5896	+	6.83604i	−1.88266	+	0.420729i
$265$	20.9706	−	2.75580i	1.28822	−	0.169287i
$266$	2.07425	+	8.19792i	0.127181	+	0.502647i
$267$	6.46562	+	24.1300i	0.395690	+	1.47673i
$268$	−8.89384	+	8.40995i	−0.543277	+	0.513719i
$269$	−12.0818	−	6.97545i	−0.736642	−	0.425301i	0.0842050	−	0.996448i	$-0.473165\pi$
$269$	−12.0818	−	6.97545i	−0.736642	−	0.425301i	−0.820847	+	0.571148i	$0.806498\pi$
$270$	−7.30638	+	5.44315i	−0.444652	+	0.331259i
$271$	4.03965	+	6.99688i	0.245391	+	0.425030i	0.962242	−	0.272197i	$-0.0877502\pi$
$271$	4.03965	+	6.99688i	0.245391	+	0.425030i	−0.716850	+	0.697227i	$0.754417\pi$
$272$	−8.28119	+	7.40329i	−0.502121	+	0.448891i
$273$	−34.4092	−	7.17250i	−2.08254	−	0.434099i
$274$	1.38317	−	1.34503i	0.0835602	−	0.0812562i
$275$	−14.7290	+	14.7151i	−0.888194	+	0.887355i
$276$	28.6648	−	15.4978i	1.72542	−	0.932859i
$277$	−7.31212	−	27.2892i	−0.439343	−	1.63965i	−0.730455	−	0.682961i	$-0.760692\pi$
$277$	−7.31212	−	27.2892i	−0.439343	−	1.63965i	0.291112	−	0.956689i	$-0.405975\pi$
$278$	0.0164592	−	1.17739i	0.000987159	−	0.0706151i
$279$	26.4778	+	15.2870i	1.58519	+	0.915207i
$280$	9.76015	−	21.0108i	0.583281	−	1.25564i
$281$			3.31183i			0.197567i	0.995109	+	0.0987837i	$0.0314952\pi$
$281$			3.31183i			0.197567i	−0.995109	+	0.0987837i	$0.968505\pi$
$282$	16.8308	−	28.2330i	1.00226	−	1.68125i
$283$	10.0752	+	2.69964i	0.598909	+	0.160477i	0.545522	−	0.838097i	$-0.316332\pi$
$283$	10.0752	+	2.69964i	0.598909	+	0.160477i	0.0533872	+	0.998574i	$0.482998\pi$
$284$	1.24582	+	2.30426i	0.0739256	+	0.136733i
$285$	−9.63130	+	1.26567i	−0.570509	+	0.0749719i
$286$	14.3651	−	15.6353i	0.849424	−	0.924536i
$287$	−16.7855	−	16.7855i	−0.990817	−	0.990817i
$288$	10.1224	+	20.7582i	0.596469	+	1.22319i
$289$	8.04392	−	4.64416i	0.473172	−	0.273186i
$290$	−4.60891	−	11.5902i	−0.270644	−	0.680598i
$291$	4.82819			0.283033
$292$	−0.874669	−	3.67199i	−0.0511861	−	0.214887i
$293$	−7.66694	−	28.6134i	−0.447907	−	1.67161i	−0.708144	−	0.706068i	$-0.750467\pi$
$293$	−7.66694	−	28.6134i	−0.447907	−	1.67161i	0.260236	−	0.965545i	$-0.416199\pi$
$294$	−17.3171	+	16.8396i	−1.00996	+	0.982107i
$295$	−3.60429	+	1.49195i	−0.209850	+	0.0868647i
$296$	7.28084	+	2.28206i	0.423190	+	0.132642i
$297$	−3.10512	+	11.5885i	−0.180177	+	0.672431i
$298$	−0.0830009	+	5.93736i	−0.00480811	+	0.343942i
$299$	−9.94382	+	19.7072i	−0.575066	+	1.13970i
$300$	22.6601	+	13.9563i	1.30828	+	0.805770i
$301$	20.4052	−	11.7809i	1.17613	−	0.679041i
$302$	6.43012	−	3.59354i	0.370012	−	0.206785i
$303$	−12.8696	−	48.0300i	−0.739340	−	2.75925i
$304$	−0.364902	+	6.51932i	−0.0209286	+	0.373909i
$305$	−0.700698	−	1.69277i	−0.0401219	−	0.0969274i
$306$	3.93288	+	15.5436i	0.224828	+	0.888570i
$307$	−14.5934	+	14.5934i	−0.832891	+	0.832891i	−0.987911	−	0.155020i	$-0.950456\pi$
$307$	−14.5934	+	14.5934i	−0.832891	+	0.832891i	0.155020	+	0.987911i	$0.450456\pi$
$308$	−7.06877	−	29.6758i	−0.402781	−	1.69094i
$309$	9.23946	−	5.33440i	0.525614	−	0.303464i
$310$	3.42451	−	23.4328i	0.194499	−	1.33090i
$311$		−	14.4151i		−	0.817408i	−0.912667	−	0.408704i	$-0.865981\pi$
$311$		−	14.4151i		−	0.817408i	0.912667	−	0.408704i	$-0.134019\pi$
$312$	−23.6965	−	13.2312i	−1.34155	−	0.749070i
$313$	5.45208	+	5.45208i	0.308170	+	0.308170i	0.844199	−	0.536029i	$-0.180076\pi$
$313$	5.45208	+	5.45208i	0.308170	+	0.308170i	−0.536029	+	0.844199i	$0.680076\pi$
$314$	6.34111	−	22.4076i	0.357849	−	1.26454i
$315$	−20.3507	−	26.5345i	−1.14663	−	1.49505i
$316$	−1.13206	+	1.84001i	−0.0636834	+	0.103509i
$317$	22.5636	+	22.5636i	1.26730	+	1.26730i	0.947478	+	0.319822i	$0.103623\pi$
$317$	22.5636	+	22.5636i	1.26730	+	1.26730i	0.319822	+	0.947478i	$0.396377\pi$
$318$	−30.5791	−	18.2295i	−1.71479	−	1.02226i
$319$	−14.2237	−	8.21207i	−0.796376	−	0.459788i
$320$	12.0436	−	13.2269i	0.673258	−	0.739408i
$321$	10.3694	−	17.9603i	0.578762	−	1.00245i
$322$	15.4719	+	27.6848i	0.862218	+	1.54281i
$323$	−1.17325	+	4.37864i	−0.0652816	+	0.243634i
$324$	−9.15669	−	0.256061i	−0.508705	−	0.0142256i
$325$	−17.9997	+	1.00584i	−0.998442	+	0.0557938i
$326$	3.24643	−	3.15691i	0.179803	−	0.174845i
$327$	49.8939	+	13.3690i	2.75914	+	0.739309i
$328$	−8.49124	−	16.2441i	−0.468850	−	0.896932i
$329$	27.7044	+	15.9952i	1.52739	+	0.881842i
$330$	34.8055	−	4.07981i	1.91598	−	0.224586i
$331$	−2.69958	+	4.67581i	−0.148382	+	0.257006i	−0.930630	−	0.365962i	$-0.880740\pi$
$331$	−2.69958	+	4.67581i	−0.148382	+	0.257006i	0.782247	+	0.622968i	$0.214073\pi$
$332$	7.32488	−	1.74479i	0.402005	−	0.0957576i
$333$	7.78768	−	7.78768i	0.426762	−	0.426762i
$334$	19.7193	−	4.98943i	1.07899	−	0.273009i
$335$	10.8592	−	8.32845i	0.593299	−	0.455032i
$336$	−34.8067	+	17.5793i	−1.89886	+	0.959032i
$337$	10.4011	−	10.4011i	0.566582	−	0.566582i	−0.364587	−	0.931169i	$-0.618790\pi$
$337$	10.4011	−	10.4011i	0.566582	−	0.566582i	0.931169	+	0.364587i	$0.118790\pi$
$338$	18.2955	−	1.81001i	0.995142	−	0.0984516i
$339$	18.2145			0.989278
$340$	10.0619	−	7.27951i	0.545684	−	0.394787i
$341$	−15.5919	−	27.0059i	−0.844347	−	1.46245i
$342$	8.09549	+	4.82605i	0.437754	+	0.260963i
$343$	1.50775	+	1.50775i	0.0814110	+	0.0814110i
$344$	17.7554	−	3.96791i	0.957305	−	0.213935i
$345$	−33.6624	+	13.9341i	−1.81232	+	0.750187i
$346$	−15.0433	+	14.6285i	−0.808731	+	0.786431i
$347$	9.06049	−	2.42775i	0.486393	−	0.130329i	−0.00728506	−	0.999973i	$-0.502319\pi$
$347$	9.06049	−	2.42775i	0.486393	−	0.130329i	0.493678	+	0.869645i	$0.335652\pi$
$348$	−5.99838	+	20.1188i	−0.321547	+	1.07848i
$349$	1.99480	+	3.45509i	0.106779	+	0.184947i	0.914464	−	0.404668i	$-0.132613\pi$
$349$	1.99480	+	3.45509i	0.106779	+	0.184947i	−0.807685	+	0.589615i	$0.799280\pi$
$350$	−13.2736	+	22.2420i	−0.709504	+	1.18888i
$351$	−8.68993	+	5.69205i	−0.463834	+	0.303819i
$352$	1.64500	−	23.4978i	0.0876789	−	1.25244i
$353$	−13.3598	−	3.57974i	−0.711068	−	0.190530i	−0.114885	−	0.993379i	$-0.536650\pi$
$353$	−13.3598	−	3.57974i	−0.711068	−	0.190530i	−0.596183	+	0.802849i	$0.703317\pi$
$354$	6.31772	+	1.78784i	0.335783	+	0.0950228i
$355$	−1.12011	−	2.70600i	−0.0594495	−	0.143620i
$356$	−18.7663	−	0.524786i	−0.994610	−	0.0278136i
$357$	−26.1491	+	7.00663i	−1.38396	+	0.370830i
$358$	18.4571	+	11.0030i	0.975488	+	0.581528i
$359$		−	10.1610i		−	0.536278i	−0.963380	−	0.268139i	$-0.913591\pi$
$359$		−	10.1610i		−	0.536278i	0.963380	−	0.268139i	$-0.0864086\pi$
$360$	−8.86665	−	24.2506i	−0.467313	−	1.27812i
$361$	−8.16767	−	14.1468i	−0.429877	−	0.744569i
$362$	21.0111	−	11.7422i	1.10432	−	0.617159i
$363$	11.9293	−	11.9293i	0.626124	−	0.626124i
$364$	12.5538	−	23.2407i	0.657999	−	1.21815i
$365$	0.549869	+	4.18430i	0.0287814	+	0.219016i
$366$	−0.839665	+	2.96713i	−0.0438900	+	0.155095i
$367$	2.20168	−	8.21678i	0.114927	−	0.428912i	−0.884355	−	0.466816i	$-0.845401\pi$
$367$	2.20168	−	8.21678i	0.114927	−	0.428912i	0.999281	+	0.0379031i	$0.0120678\pi$
$368$	5.00631	+	23.9715i	0.260972	+	1.24960i
$369$	−26.4573			−1.37731
$370$	−7.83415	−	3.37626i	−0.407278	−	0.175523i
$371$	17.3243	−	30.0066i	0.899434	−	1.55787i
$372$	−28.9623	+	27.3866i	−1.50163	+	1.41993i
$373$	6.66228	−	1.78515i	0.344960	−	0.0924317i	−0.0821795	−	0.996618i	$-0.526188\pi$
$373$	6.66228	−	1.78515i	0.344960	−	0.0924317i	0.427139	+	0.904186i	$0.359521\pi$
$374$	4.45291	−	15.7353i	0.230255	−	0.813653i
$375$	−23.5929	−	18.1301i	−1.21833	−	0.936232i
$376$	16.7189	+	18.1834i	0.862212	+	0.937738i
$377$	−4.44782	−	13.5079i	−0.229074	−	0.695692i
$378$	−0.208628	+	14.9239i	−0.0107307	+	0.767603i
$379$	−22.6853	+	13.0974i	−1.16526	+	0.672766i	−0.952560	−	0.304350i	$-0.901561\pi$
$379$	−22.6853	+	13.0974i	−1.16526	+	0.672766i	−0.212705	+	0.977116i	$0.568227\pi$
$380$	1.15652	−	7.20804i	0.0593283	−	0.369764i
$381$	−21.8391	+	37.8264i	−1.11885	+	1.93791i
$382$	−7.79780	−	0.109009i	−0.398970	−	0.00557737i
$383$	−30.9599	+	8.29567i	−1.58198	+	0.423889i	−0.939537	−	0.342448i	$-0.888744\pi$
$383$	−30.9599	+	8.29567i	−1.58198	+	0.423889i	−0.642439	+	0.766337i	$0.722077\pi$
$384$	−29.7056	+	4.91434i	−1.51591	+	0.250784i
$385$	4.44385	+	33.8161i	0.226480	+	1.72343i
$386$	−31.1215	+	7.87442i	−1.58404	+	0.400797i
$387$	6.79675	−	25.3658i	0.345498	−	1.28942i
$388$	−1.03671	+	3.47716i	−0.0526309	+	0.176526i
$389$		−	23.1790i		−	1.17522i	−0.809143	−	0.587612i	$-0.800068\pi$
$389$		−	23.1790i		−	1.17522i	0.809143	−	0.587612i	$-0.199932\pi$
$390$	24.8290	+	17.4430i	1.25727	+	0.883261i
$391$			17.0012i			0.859788i
$392$	−8.40923	−	16.0872i	−0.424730	−	0.812529i
$393$	−6.87701	+	25.6653i	−0.346899	+	1.29464i
$394$	1.13040	+	4.46761i	0.0569489	+	0.225075i
$395$	1.47083	−	1.91589i	0.0740057	−	0.0963990i
$396$	−28.9583	−	17.8166i	−1.45521	−	0.895316i
$397$	−8.08112	+	2.16533i	−0.405580	+	0.108675i	−0.455841	−	0.890061i	$-0.650661\pi$
$397$	−8.08112	+	2.16533i	−0.405580	+	0.108675i	0.0502609	+	0.998736i	$0.483995\pi$
$398$	−0.209299	+	14.9719i	−0.0104912	+	0.750475i
$399$	−7.95665	+	13.7813i	−0.398331	+	0.689929i
$400$	−14.9167	+	13.3227i	−0.745833	+	0.666133i
$401$	24.6740	−	14.2455i	1.23216	−	0.711387i	0.264679	−	0.964337i	$-0.414734\pi$
$401$	24.6740	−	14.2455i	1.23216	−	0.711387i	0.967479	+	0.252950i	$0.0814007\pi$
$402$	−23.0322	−	0.321977i	−1.14874	−	0.0160587i
$403$	5.50992	−	26.4332i	0.274469	−	1.31673i
$404$	37.3536	+	1.04457i	1.85841	+	0.0519692i
$405$	10.1536	+	1.33918i	0.504534	+	0.0665444i
$406$	−19.6606	−	5.56373i	−0.975740	−	0.276123i
$407$	−10.8503	+	2.90734i	−0.537831	+	0.144111i
$408$	−20.8850	−	0.876337i	−1.03396	−	0.0433851i
$409$	−14.7247	+	25.5039i	−0.728088	+	1.26108i	0.229603	+	0.973284i	$0.426257\pi$
$409$	−14.7247	+	25.5039i	−0.728088	+	1.26108i	−0.957690	+	0.287800i	$0.907076\pi$
$410$	7.57245	+	19.0427i	0.373977	+	0.940452i
$411$	3.63065			0.179087
$412$	1.85784	+	7.79948i	0.0915290	+	0.384253i
$413$	−1.65392	+	6.17253i	−0.0813843	+	0.303730i
$414$	34.0118	+	9.62495i	1.67159	+	0.473041i
$415$	−8.34683	+	1.09688i	−0.409730	+	0.0538435i
$416$	14.6170	−	14.2248i	0.716656	−	0.697427i
$417$	1.56686	−	1.56686i	0.0767293	−	0.0767293i
$418$	−4.68957	−	8.39131i	−0.229374	−	0.410432i
$419$	−10.2770	−	17.8003i	−0.502064	−	0.869600i	−0.999997	−	0.00238495i	$-0.999241\pi$
$419$	−10.2770	−	17.8003i	−0.502064	−	0.869600i	0.497933	−	0.867215i	$-0.334092\pi$
$420$	40.7324	−	15.5417i	1.98754	−	0.758357i
$421$			27.0165i			1.31671i	0.752710	+	0.658353i	$0.228746\pi$
$421$			27.0165i			1.31671i	−0.752710	+	0.658353i	$0.771254\pi$
$422$	15.7461	−	26.4134i	0.766508	−	1.28578i
$423$	34.4396	−	9.22806i	1.67451	−	0.448684i
$424$	19.6944	−	18.1082i	0.956446	−	0.879413i
$425$	−12.0280	+	6.93680i	−0.583444	+	0.336484i
$426$	−1.34226	+	4.74317i	−0.0650329	+	0.229807i
$427$	−2.89894	−	0.776770i	−0.140290	−	0.0375905i
$428$	10.7081	+	11.3243i	0.517597	+	0.547378i
$429$	39.8927	−	2.24813i	1.92604	−	0.108541i
$430$	−20.2025	+	2.36808i	−0.974249	+	0.114199i
$431$	−1.82280	−	3.15718i	−0.0878011	−	0.152076i	0.818780	−	0.574107i	$-0.194651\pi$
$431$	−1.82280	−	3.15718i	−0.0878011	−	0.152076i	−0.906581	+	0.422031i	$0.861317\pi$
$432$	−3.60025	+	10.9479i	−0.173217	+	0.526730i
$433$	−10.9205	+	2.92614i	−0.524806	+	0.140621i	−0.511489	−	0.859290i	$-0.670906\pi$
$433$	−10.9205	+	2.92614i	−0.524806	+	0.140621i	−0.0133171	+	0.999911i	$0.504239\pi$
$434$	−27.0458	−	27.8127i	−1.29824	−	1.33505i
$435$	8.98747	−	21.6832i	0.430916	−	1.03963i
$436$	−20.3413	+	33.0620i	−0.974172	+	1.58338i
$437$	7.06662	+	7.06662i	0.338042	+	0.338042i
$438$	3.63735	−	6.10149i	0.173799	−	0.291541i
$439$	9.45210	+	16.3715i	0.451124	+	0.781370i	0.998456	−	0.0555458i	$-0.0176899\pi$
$439$	9.45210	+	16.3715i	0.451124	+	0.781370i	−0.547332	+	0.836916i	$0.684357\pi$
$440$	−4.53523	+	25.9422i	−0.216208	+	1.23675i
$441$	−26.2017			−1.24770
$442$	11.9524	−	7.59239i	0.568516	−	0.361133i
$443$	23.6037	−	23.6037i	1.12145	−	1.12145i	0.129922	−	0.991524i	$-0.458527\pi$
$443$	23.6037	−	23.6037i	1.12145	−	1.12145i	0.991524	−	0.129922i	$-0.0414728\pi$
$444$	6.82889	+	12.6307i	0.324085	+	0.599428i
$445$	20.8093	+	2.74459i	0.986456	+	0.130106i
$446$	1.31297	+	5.18916i	0.0621710	+	0.245714i
$447$	−7.90137	+	7.90137i	−0.373722	+	0.373722i
$448$	−5.18661	−	28.8417i	−0.245044	−	1.36264i
$449$	−7.27375	+	12.5985i	−0.343269	+	0.594560i	−0.985038	−	0.172338i	$-0.944868\pi$
$449$	−7.27375	+	12.5985i	−0.343269	+	0.594560i	0.641768	+	0.766899i	$0.278201\pi$
$450$	7.06797	+	27.9898i	0.333187	+	1.31945i
$451$	23.3696	+	13.4925i	1.10043	+	0.635335i
$452$	−3.91102	+	13.1177i	−0.183959	+	0.617007i
$453$	13.3895	+	3.58771i	0.629095	+	0.168565i
$454$	7.22697	+	7.43190i	0.339179	+	0.348796i
$455$	−16.6372	+	24.4001i	−0.779964	+	1.14390i
$456$	−9.04518	+	8.31667i	−0.423579	+	0.389464i
$457$	8.51518	−	31.7791i	0.398323	−	1.48656i	−0.417722	−	0.908575i	$-0.637171\pi$
$457$	8.51518	−	31.7791i	0.398323	−	1.48656i	0.816045	−	0.577988i	$-0.196162\pi$
$458$	−5.48090	+	3.06306i	−0.256106	+	0.143127i
$459$	−4.00048	+	6.92904i	−0.186727	+	0.323420i
$460$	−2.80708	−	27.2349i	−0.130881	−	1.26983i
$461$	26.8011	+	15.4736i	1.24825	+	0.720679i	0.970761	−	0.240049i	$-0.0771635\pi$
$461$	26.8011	+	15.4736i	1.24825	+	0.720679i	0.277492	+	0.960728i	$0.410497\pi$
$462$	29.3958	−	49.3102i	1.36762	−	2.29412i
$463$	−15.9638	−	15.9638i	−0.741899	−	0.741899i	0.231044	−	0.972943i	$-0.425786\pi$
$463$	−15.9638	−	15.9638i	−0.741899	−	0.741899i	−0.972943	+	0.231044i	$0.925786\pi$
$464$	−13.2012	−	8.63983i	−0.612851	−	0.401094i
$465$	35.3623	−	27.1212i	1.63989	−	1.25772i
$466$	−22.9286	−	6.48854i	−1.06215	−	0.300576i
$467$	24.8808	+	24.8808i	1.15135	+	1.15135i	0.986283	+	0.165066i	$0.0527836\pi$
$467$	24.8808	+	24.8808i	1.15135	+	1.15135i	0.165066	+	0.986283i	$0.447216\pi$
$468$	−8.42234	−	28.2096i	−0.389323	−	1.30399i
$469$		−	22.4186i		−	1.03519i
$470$	−16.4990	−	22.1468i	−0.761044	−	1.02156i
$471$	37.9522	−	21.9117i	1.74874	−	1.00964i
$472$	−2.64411	+	4.16601i	−0.121705	+	0.191756i
$473$	−18.9394	+	18.9394i	−0.870835	+	0.870835i
$474$	−3.94126	+	0.997225i	−0.181028	+	0.0458040i
$475$	−2.11618	+	7.88279i	−0.0970969	+	0.361687i
$476$	0.568697	−	20.3365i	0.0260662	−	0.932123i
$477$	−9.99489	−	37.3015i	−0.457635	−	1.70792i
$478$	8.98226	+	16.0725i	0.410839	+	0.735137i
$479$	29.6729	−	17.1316i	1.35579	−	0.782765i	0.366735	−	0.930325i	$-0.380475\pi$
$479$	29.6729	−	17.1316i	1.35579	−	0.782765i	0.989053	+	0.147561i	$0.0471421\pi$
$480$	33.6012	−	2.04449i	1.53368	−	0.0933180i
$481$	−8.68369	−	4.38161i	−0.395942	−	0.199784i
$482$	−8.29436	−	0.115950i	−0.377798	−	0.00528139i
$483$	−15.4469	+	57.6485i	−0.702857	+	2.62310i
$484$	6.02977	+	11.1527i	0.274080	+	0.506939i
$485$	1.55332	−	3.74753i	0.0705324	−	0.170167i
$486$	−20.5394	−	21.1218i	−0.931688	−	0.958106i
$487$	4.18745	+	15.6278i	0.189751	+	0.708162i	0.993563	+	0.113278i	$0.0361352\pi$
$487$	4.18745	+	15.6278i	0.189751	+	0.708162i	−0.803812	+	0.594884i	$0.797198\pi$
$488$	−1.95658	−	1.24181i	−0.0885701	−	0.0562142i
$489$	8.52150			0.385355
$490$	7.49932	+	18.8588i	0.338785	+	0.851953i
$491$	−11.2963	+	6.52191i	−0.509794	+	0.294330i	−0.732749	−	0.680499i	$-0.761763\pi$
$491$	−11.2963	+	6.52191i	−0.509794	+	0.294330i	0.222955	+	0.974829i	$0.428430\pi$
$492$	9.85536	−	33.0553i	0.444314	−	1.49025i
$493$	−7.74512	−	7.74512i	−0.348823	−	0.348823i
$494$	1.81224	−	8.12386i	0.0815367	−	0.365510i
$495$	30.1526	+	23.1482i	1.35526	+	1.04043i
$496$	−13.5045	−	26.7385i	−0.606369	−	1.20060i
$497$	−4.63416	−	1.24172i	−0.207871	−	0.0556988i
$498$	12.1712	+	7.25578i	0.545406	+	0.325139i
$499$			40.7935i			1.82617i	0.407770	+	0.913085i	$0.366306\pi$
$499$			40.7935i			1.82617i	−0.407770	+	0.913085i	$0.633694\pi$
$500$	18.1228	−	13.0983i	0.810475	−	0.585773i
$501$	33.1497	+	19.1390i	1.48102	+	0.855067i
$502$	−13.4767	−	0.188397i	−0.601495	−	0.00840856i
$503$	6.82678	+	25.4779i	0.304391	+	1.13600i	0.933468	+	0.358660i	$0.116766\pi$
$503$	6.82678	+	25.4779i	0.304391	+	1.13600i	−0.629077	+	0.777343i	$0.716567\pi$
$504$	−40.3623	−	12.6509i	−1.79788	−	0.563516i
$505$	−41.4202	−	5.46303i	−1.84318	−	0.243101i
$506$	−25.1341	−	25.8468i	−1.11735	−	1.14903i
$507$	27.0575	+	21.5604i	1.20167	+	0.957531i
$508$	−22.5525	−	23.8502i	−1.00061	−	1.05818i
$509$	17.1905	+	29.7748i	0.761955	+	1.31974i	0.941841	+	0.336058i	$0.109094\pi$
$509$	17.1905	+	29.7748i	0.761955	+	1.31974i	−0.179886	+	0.983687i	$0.557573\pi$
$510$	23.1250	+	3.37953i	1.02399	+	0.149648i
$511$	5.98727	+	3.45675i	0.264861	+	0.152918i
$512$	2.83918	−	22.4486i	0.125475	−	0.992097i
$513$	1.21727	+	4.54290i	0.0537436	+	0.200574i
$514$	−1.18565	+	0.299996i	−0.0522969	+	0.0132323i
$515$	−1.16795	−	8.88764i	−0.0514658	−	0.391636i
$516$	29.1599	+	17.9406i	1.28369	+	0.789789i
$517$	−35.1265	−	9.41210i	−1.54486	−	0.413944i
$518$	−12.1989	+	6.81750i	−0.535990	+	0.299544i
$519$	−39.4868			−1.73328
$520$	−17.8934	+	14.1360i	−0.784677	+	0.619905i
$521$	−8.71649			−0.381876			−0.190938	−	0.981602i	$-0.561153\pi$
$521$	−8.71649			−0.381876			−0.190938	+	0.981602i	$0.561153\pi$
$522$	−19.8793	+	11.1097i	−0.870093	+	0.486260i
$523$	−32.8881	−	8.81235i	−1.43810	−	0.385337i	−0.546230	−	0.837635i	$-0.683938\pi$
$523$	−32.8881	−	8.81235i	−1.43810	−	0.385337i	−0.891867	+	0.452298i	$0.850604\pi$
$524$	−17.0070	−	10.4635i	−0.742955	−	0.457102i
$525$	−47.0877	+	12.5933i	−2.05508	+	0.549616i
$526$	5.16341	−	1.30646i	0.225135	−	0.0569642i
$527$	−5.38251	−	20.0878i	−0.234466	−	0.875038i
$528$	33.0468	−	29.5434i	1.43818	−	1.28571i
$529$	12.5409	+	7.24047i	0.545255	+	0.314803i
$530$	−23.9871	+	17.8701i	−1.04194	+	0.776226i
$531$	3.56111	+	6.16802i	0.154539	+	0.267669i
$532$	−8.21658	−	8.68934i	−0.356234	−	0.376731i
$533$	7.30779	+	22.1935i	0.316535	+	0.961308i
$534$	−24.6296	−	25.3280i	−1.06583	−	1.09605i
$535$	−10.6044	−	13.8266i	−0.458467	−	0.597778i
$536$	5.17735	−	16.5182i	0.223627	−	0.713477i
$537$	10.4658	+	39.0589i	0.451633	+	1.68552i
$538$	19.7276	+	0.275781i	0.850518	+	0.0118898i
$539$	23.1439	+	13.3622i	0.996880	+	0.575549i
$540$	5.26447	−	11.7604i	0.226547	−	0.506088i
$541$		−	16.3634i		−	0.703519i	−0.936090	−	0.351760i	$-0.885583\pi$
$541$		−	16.3634i		−	0.703519i	0.936090	−	0.351760i	$-0.114417\pi$
$542$	−9.81426	−	5.85068i	−0.421558	−	0.251308i
$543$	43.7516	+	11.7232i	1.87756	+	0.503091i
$544$	5.11554	−	14.8528i	0.219327	−	0.636808i
$545$	26.4285	−	34.4255i	1.13207	−	1.47463i
$546$	47.4269	−	14.8850i	2.02968	−	0.637020i
$547$	15.8846	+	15.8846i	0.679177	+	0.679177i	0.959814	−	0.280637i	$-0.0905458\pi$
$547$	15.8846	+	15.8846i	0.679177	+	0.679177i	−0.280637	+	0.959814i	$0.590546\pi$
$548$	−0.779573	+	2.61472i	−0.0333017	+	0.111695i
$549$	−2.89682	+	1.67248i	−0.123633	+	0.0713798i
$550$	8.03089	−	28.3278i	0.342438	−	1.20790i
$551$	−6.43858			−0.274293
$552$	−24.6947	+	38.9085i	−1.05108	+	1.65606i
$553$	−1.02409	−	3.82194i	−0.0435486	−	0.162525i
$554$	27.8542	+	28.6440i	1.18341	+	1.21697i
$555$	−6.13987	−	14.8329i	−0.260623	−	0.629620i
$556$	0.791983	+	1.46485i	0.0335876	+	0.0621236i
$557$	−9.85356	+	36.7740i	−0.417509	+	1.55816i	0.362248	+	0.932082i	$0.382009\pi$
$557$	−9.85356	+	36.7740i	−0.417509	+	1.55816i	−0.779757	+	0.626082i	$0.784657\pi$
$558$	−43.2339	−	0.604385i	−1.83024	−	0.0255856i
$559$	−23.1553	+	1.30490i	−0.979365	+	0.0551916i
$560$	2.44676	+	32.6718i	0.103394	+	1.38063i
$561$	26.6511	−	15.3870i	1.12521	−	0.649642i
$562$	−2.28489	−	4.08849i	−0.0963824	−	0.172462i
$563$	0.295646	+	1.10337i	0.0124600	+	0.0465013i	0.971876	−	0.235493i	$-0.0756706\pi$
$563$	0.295646	+	1.10337i	0.0124600	+	0.0465013i	−0.959416	+	0.281995i	$0.909004\pi$
$564$	−1.29938	+	46.4658i	−0.0547139	+	1.95656i
$565$	5.85994	−	14.1377i	0.246530	−	0.594778i
$566$	−14.3005	+	3.61833i	−0.601093	+	0.152090i
$567$	11.8633	−	11.8633i	0.498212	−	0.498212i
$568$	−3.12772	−	1.98512i	−0.131236	−	0.0832939i
$569$	8.16523	−	4.71420i	0.342304	−	0.197629i	−0.318986	−	0.947759i	$-0.603342\pi$
$569$	8.16523	−	4.71420i	0.342304	−	0.197629i	0.661290	+	0.750130i	$0.270009\pi$
$570$	11.0167	−	8.20729i	0.461440	−	0.343766i
$571$		−	21.7870i		−	0.911756i	−0.890042	−	0.455878i	$-0.849325\pi$
$571$		−	21.7870i		−	0.911756i	0.890042	−	0.455878i	$-0.150675\pi$
$572$	−6.94670	+	29.2127i	−0.290456	+	1.22144i
$573$	−10.3772	−	10.3772i	−0.433515	−	0.433515i
$574$	32.3025	+	9.14124i	1.34828	+	0.381548i
$575$	−0.0144532	+	30.6108i	−0.000602739	+	1.27656i
$576$	−26.8177	−	18.6426i	−1.11740	−	0.776773i
$577$	−4.61945	−	4.61945i	−0.192310	−	0.192310i	0.604383	−	0.796694i	$-0.293420\pi$
$577$	−4.61945	−	4.61945i	−0.192310	−	0.192310i	−0.796694	+	0.604383i	$0.793420\pi$
$578$	−6.72620	+	11.2829i	−0.279773	+	0.469307i
$579$	−52.3176	−	30.2056i	−2.17424	−	1.25530i
$580$	13.6860	+	11.1284i	0.568281	+	0.462082i
$581$	−6.89551	+	11.9434i	−0.286074	+	0.495495i
$582$	−5.96044	+	3.33105i	−0.247068	+	0.138077i
$583$	−10.1942	+	38.0454i	−0.422202	+	1.57568i
$584$	3.61316	+	3.92966i	0.149514	+	0.162610i
$585$	6.11796	+	32.3415i	0.252947	+	1.33716i
$586$	29.2058	+	30.0340i	1.20648	+	1.24069i
$587$	12.6972	+	3.40220i	0.524069	+	0.140424i	0.511148	−	0.859493i	$-0.329220\pi$
$587$	12.6972	+	3.40220i	0.524069	+	0.140424i	0.0129207	+	0.999917i	$0.495887\pi$
$588$	9.76018	−	32.7361i	0.402503	−	1.35001i
$589$	−10.5868	−	6.11231i	−0.436223	−	0.251853i
$590$	3.42021	−	4.32849i	0.140808	−	0.178201i
$591$	−4.33612	+	7.51039i	−0.178364	+	0.308936i
$592$	−10.5627	+	2.20596i	−0.434124	+	0.0906645i
$593$	10.3426	−	10.3426i	0.424719	−	0.424719i	−0.462106	−	0.886825i	$-0.652906\pi$
$593$	10.3426	−	10.3426i	0.424719	−	0.424719i	0.886825	+	0.462106i	$0.152906\pi$
$594$	−4.16179	−	16.4483i	−0.170760	−	0.674884i
$595$	−2.97425	+	22.5505i	−0.121932	+	0.924481i
$596$	−3.99383	−	7.38699i	−0.163593	−	0.302583i
$597$	−19.9245	+	19.9245i	−0.815455	+	0.815455i
$598$	−1.32060	−	31.1891i	−0.0540033	−	1.27542i
$599$	−28.5103			−1.16490			−0.582449	−	0.812867i	$-0.697905\pi$
$599$	−28.5103			−1.16490			−0.582449	+	0.812867i	$0.697905\pi$
$600$	−37.6029	−	1.59561i	−1.53513	−	0.0651404i
$601$	1.35338	+	2.34412i	0.0552055	+	0.0956187i	0.892307	−	0.451428i	$-0.149085\pi$
$601$	1.35338	+	2.34412i	0.0552055	+	0.0956187i	−0.837102	+	0.547047i	$0.815752\pi$
$602$	−17.0625	+	28.6216i	−0.695415	+	1.16653i
$603$	−17.6680	−	17.6680i	−0.719498	−	0.719498i
$604$	−5.45879	+	8.87251i	−0.222115	+	0.361017i
$605$	−5.42137	−	13.0971i	−0.220410	−	0.532473i
$606$	49.0244	+	50.4145i	1.99148	+	2.04795i
$607$	1.04462	−	0.279904i	0.0423997	−	0.0113610i	−0.237557	−	0.971374i	$-0.576347\pi$
$607$	1.04462	−	0.279904i	0.0423997	−	0.0113610i	0.279957	+	0.960013i	$0.409680\pi$
$608$	−4.04732	−	8.29991i	−0.164141	−	0.336606i
$609$	−19.2255	−	33.2995i	−0.779056	−	1.34936i
$610$	2.03289	+	1.60631i	0.0823092	+	0.0650376i
$611$	−17.2535	−	26.3406i	−0.698002	−	1.06562i
$612$	−15.5790	−	16.4754i	−0.629744	−	0.665978i
$613$	9.29132	+	2.48960i	0.375273	+	0.100554i	0.441525	−	0.897249i	$-0.354438\pi$
$613$	9.29132	+	2.48960i	0.375273	+	0.100554i	−0.0662523	+	0.997803i	$0.521104\pi$
$614$	7.94745	−	28.0840i	0.320733	−	1.13338i
$615$	−14.7664	+	35.6256i	−0.595440	+	1.43656i
$616$	29.2003	+	31.7582i	1.17652	+	1.27957i
$617$	−8.78721	+	2.35453i	−0.353760	+	0.0947897i	−0.431323	−	0.902198i	$-0.641953\pi$
$617$	−8.78721	+	2.35453i	−0.353760	+	0.0947897i	0.0775627	+	0.996987i	$0.475286\pi$
$618$	−7.72590	+	12.9598i	−0.310781	+	0.521321i
$619$			25.7688i			1.03574i	0.855460	+	0.517868i	$0.173274\pi$
$619$			25.7688i			1.03574i	−0.855460	+	0.517868i	$0.826726\pi$
$620$	11.9392	+	31.2907i	0.479488	+	1.25666i
$621$	8.81949	+	15.2758i	0.353914	+	0.612997i
$622$	9.94527	+	17.7956i	0.398769	+	0.713540i
$623$	24.3133	−	24.3133i	0.974094	−	0.974094i
$624$	38.3821	−	0.0146180i	1.53651	−	0.000585186i
$625$	−21.6624	+	12.4795i	−0.866497	+	0.499182i
$626$	−10.4921	−	2.96916i	−0.419350	−	0.118671i
$627$	4.68197	−	17.4733i	0.186980	−	0.697818i
$628$	7.63128	+	32.0373i	0.304521	+	1.27843i
$629$	−7.49135			−0.298699
$630$	43.4297	+	18.7167i	1.73028	+	0.745693i
$631$	10.8413	−	18.7776i	0.431584	−	0.747525i	−0.565426	−	0.824799i	$-0.691288\pi$
$631$	10.8413	−	18.7776i	0.431584	−	0.747525i	0.997010	+	0.0772740i	$0.0246216\pi$
$632$	0.128085	−	3.05254i	0.00509495	−	0.121423i
$633$	55.8960	−	14.9773i	2.22166	−	0.595293i
$634$	−43.4221	−	12.2880i	−1.72451	−	0.488017i
$635$	22.3340	+	29.1205i	0.886298	+	1.15561i
$636$	50.3270	+	1.40736i	1.99560	+	0.0558055i
$637$	7.23721	+	21.9792i	0.286749	+	0.870847i
$638$	23.2250	+	0.324672i	0.919486	+	0.0128539i
$639$	−4.63078	+	2.67358i	−0.183191	+	0.105765i
$640$	−5.74243	+	24.6379i	−0.226990	+	0.973897i
$641$	12.9402	−	22.4131i	0.511109	−	0.885266i	−0.488809	−	0.872391i	$-0.662568\pi$
$641$	12.9402	−	22.4131i	0.511109	−	0.885266i	0.999917	−	0.0128749i	$-0.00409832\pi$
$642$	−0.409963	+	29.3262i	−0.0161800	+	1.15741i
$643$	16.0824	−	4.30928i	0.634229	−	0.169941i	0.0726411	−	0.997358i	$-0.476857\pi$
$643$	16.0824	−	4.30928i	0.634229	−	0.169941i	0.561588	+	0.827417i	$0.310191\pi$
$644$	−38.2005	−	23.5028i	−1.50531	−	0.926140i
$645$	−30.3625	−	23.3093i	−1.19552	−	0.917804i
$646$	−1.57251	−	6.21493i	−0.0618697	−	0.244523i
$647$	6.78068	−	25.3058i	0.266576	−	0.994875i	−0.694703	−	0.719297i	$-0.744464\pi$
$647$	6.78068	−	25.3058i	0.266576	−	0.994875i	0.961279	−	0.275578i	$-0.0888693\pi$
$648$	11.4807	−	6.00126i	0.451004	−	0.235752i
$649$		−	7.26426i		−	0.285147i
$650$	21.5268	−	13.6600i	0.844351	−	0.535790i
$651$		−	73.0050i		−	2.86129i
$652$	−1.82973	+	6.13701i	−0.0716579	+	0.240344i
$653$	−5.65664	+	21.1109i	−0.221361	+	0.826132i	0.762468	+	0.647026i	$0.223987\pi$
$653$	−5.65664	+	21.1109i	−0.221361	+	0.826132i	−0.983830	+	0.179107i	$0.942679\pi$
$654$	−70.8180	+	17.9185i	−2.76920	+	0.700669i
$655$	17.7084	+	13.5948i	0.691925	+	0.531192i
$656$	21.6896	+	14.1953i	0.846838	+	0.554232i
$657$	7.44282	−	1.99430i	0.290372	−	0.0778049i
$658$	−45.2367	−	0.632384i	−1.76351	−	0.0246529i
$659$	20.9272	−	36.2470i	0.815209	−	1.41198i	−0.0939679	−	0.995575i	$-0.529955\pi$
$659$	20.9272	−	36.2470i	0.815209	−	1.41198i	0.909177	−	0.416409i	$-0.136712\pi$
$660$	−40.1529	+	29.0495i	−1.56295	+	1.13075i
$661$	26.6937	−	15.4116i	1.03826	−	0.599442i	0.118923	−	0.992904i	$-0.462056\pi$
$661$	26.6937	−	15.4116i	1.03826	−	0.599442i	0.919341	+	0.393462i	$0.128723\pi$
$662$	0.106730	−	7.63482i	0.00414820	−	0.296736i
$663$	26.0860	+	5.43754i	1.01309	+	0.211177i
$664$	−7.83887	+	7.20752i	−0.304207	+	0.279706i
$665$	8.13696	+	10.6095i	0.315538	+	0.411418i
$666$	−4.24110	+	14.9868i	−0.164339	+	0.580728i
$667$	−23.3248	+	6.24986i	−0.903139	+	0.241995i
$668$	−20.9014	+	19.7642i	−0.808700	+	0.764701i
$669$	−5.03644	+	8.72337i	−0.194720	+	0.337265i
$670$	−7.65978	+	17.7735i	−0.295923	+	0.686649i
$671$	3.41168			0.131706
$672$	30.8409	−	45.7156i	1.18971	−	1.76352i
$673$	−6.47035	+	24.1477i	−0.249414	+	0.930825i	0.721700	+	0.692206i	$0.243361\pi$
$673$	−6.47035	+	24.1477i	−0.249414	+	0.930825i	−0.971113	+	0.238618i	$0.923305\pi$
$674$	−5.66433	+	20.0161i	−0.218182	+	0.770991i
$675$	−7.20880	+	12.4724i	−0.277467	+	0.480063i
$676$	−21.3372	+	14.8568i	−0.820660	+	0.571417i
$677$	2.25719	−	2.25719i	0.0867510	−	0.0867510i	−0.662400	−	0.749151i	$-0.730462\pi$
$677$	2.25719	−	2.25719i	0.0867510	−	0.0867510i	0.749151	+	0.662400i	$0.230462\pi$
$678$	−22.4860	+	12.5665i	−0.863570	+	0.482615i
$679$	−3.32277	−	5.75520i	−0.127516	−	0.220864i
$680$	−7.39927	+	15.9285i	−0.283749	+	0.610831i
$681$			19.5079i			0.747543i
$682$	37.8802	+	22.5819i	1.45051	+	0.864706i
$683$	−11.2613	+	3.01745i	−0.430900	+	0.115459i	−0.467749	−	0.883861i	$-0.654935\pi$
$683$	−11.2613	+	3.01745i	−0.430900	+	0.115459i	0.0368483	+	0.999321i	$0.488268\pi$
$684$	−13.3235	−	0.372584i	−0.509438	−	0.0142461i
$685$	1.16805	−	2.81803i	0.0446288	−	0.107671i
$686$	−2.90156	−	0.821108i	−0.110782	−	0.0313501i
$687$	−11.4129	−	3.05809i	−0.435431	−	0.116673i
$688$	−19.1816	+	17.1482i	−0.731293	+	0.653768i
$689$	−28.5294	+	18.6872i	−1.08688	+	0.711927i
$690$	31.9431	−	40.4261i	1.21605	−	1.53899i
$691$	−8.57212	−	14.8474i	−0.326099	−	0.564820i	0.655635	−	0.755078i	$-0.272401\pi$
$691$	−8.57212	−	14.8474i	−0.326099	−	0.564820i	−0.981734	+	0.190258i	$0.939068\pi$
$692$	8.47860	−	28.4376i	0.322308	−	1.08103i
$693$	60.1503	−	16.1172i	2.28492	−	0.612243i
$694$	−9.51031	+	9.24808i	−0.361006	+	0.351052i
$695$	−0.712073	−	1.72025i	−0.0270105	−	0.0652526i
$696$	−6.47529	−	28.9753i	−0.245445	−	1.09831i
$697$	12.7253	+	12.7253i	0.482004	+	0.482004i
$698$	−4.84632	−	2.88909i	−0.183436	−	0.109354i
$699$	−22.4212	−	38.8346i	−0.848047	−	1.46886i
$700$	1.04123	−	36.6156i	0.0393549	−	1.38394i
$701$	−31.1983			−1.17834			−0.589171	−	0.808008i	$-0.700546\pi$
$701$	−31.1983			−1.17834			−0.589171	+	0.808008i	$0.700546\pi$
$702$	6.80075	−	13.0222i	0.256678	−	0.491492i
$703$	−3.11381	+	3.11381i	−0.117439	+	0.117439i
$704$	14.1808	+	30.1432i	0.534459	+	1.13606i
$705$	6.79569	−	51.5244i	0.255941	−	1.94052i
$706$	18.9625	−	4.79792i	0.713662	−	0.180572i
$707$	−48.3949	+	48.3949i	−1.82008	+	1.82008i
$708$	−9.03275	+	2.15160i	−0.339471	+	0.0808621i
$709$	−1.84987	+	3.20408i	−0.0694735	+	0.120332i	−0.898670	−	0.438626i	$-0.855465\pi$
$709$	−1.84987	+	3.20408i	−0.0694735	+	0.120332i	0.829196	+	0.558958i	$0.188799\pi$
$710$	3.24971	+	2.56780i	0.121960	+	0.0963677i
$711$	−3.81915	−	2.20499i	−0.143229	−	0.0826934i
$712$	23.5292	−	12.2993i	0.881793	−	0.460937i
$713$	−44.2856	−	11.8663i	−1.65851	−	0.444396i
$714$	27.4473	−	26.6905i	1.02719	−	0.998867i
$715$	11.0893	−	31.6871i	0.414715	−	1.18503i
$716$	−30.3766	−	0.849462i	−1.13523	−	0.0317459i
$717$	−8.96769	+	33.4679i	−0.334905	+	1.24988i
$718$	7.01027	+	12.5439i	0.261621	+	0.468133i
$719$	13.2406	−	22.9335i	0.493793	−	0.855274i	−0.506182	−	0.862427i	$-0.668943\pi$
$719$	13.2406	−	22.9335i	0.493793	−	0.855274i	0.999974	+	0.00715260i	$0.00227676\pi$
$720$	27.6769	+	23.8203i	1.03146	+	0.887730i
$721$	−12.7172	−	7.34229i	−0.473614	−	0.273441i
$722$	19.8432	+	11.8294i	0.738488	+	0.440243i
$723$	−11.0380	−	11.0380i	−0.410509	−	0.410509i
$724$	−17.8372	+	28.9918i	−0.662913	+	1.07747i
$725$	−13.9386	−	13.9517i	−0.517666	−	0.518155i
$726$	−6.49657	+	22.9570i	−0.241110	+	0.852014i
$727$	33.6307	+	33.6307i	1.24729	+	1.24729i	0.956911	+	0.290383i	$0.0937826\pi$
$727$	33.6307	+	33.6307i	1.24729	+	1.24729i	0.290383	+	0.956911i	$0.406217\pi$
$728$	0.536388	+	37.3520i	0.0198799	+	1.38436i
$729$		−	41.7020i		−	1.54452i
$730$	−3.56564	−	4.78619i	−0.131970	−	0.177145i
$731$	−15.4694	+	8.93124i	−0.572155	+	0.330334i
$732$	−1.01050	−	4.24225i	−0.0373493	−	0.156798i
$733$	33.4085	−	33.4085i	1.23397	−	1.23397i	0.271545	−	0.962426i	$-0.412465\pi$
$733$	33.4085	−	33.4085i	1.23397	−	1.23397i	0.962426	−	0.271545i	$-0.0875347\pi$
$734$	2.95091	+	11.6627i	0.108920	+	0.430477i
$735$	−14.6238	+	35.2815i	−0.539408	+	1.30138i
$736$	−22.7187	−	26.1391i	−0.837422	−	0.963499i
$737$	6.59593	+	24.6164i	0.242964	+	0.906755i
$738$	32.6617	−	18.2533i	1.20230	−	0.671915i
$739$	16.3398	−	9.43376i	0.601068	−	0.347027i	−0.168394	−	0.985720i	$-0.553858\pi$
$739$	16.3398	−	9.43376i	0.601068	−	0.347027i	0.769461	+	0.638693i	$0.220525\pi$
$740$	12.0007	−	1.23690i	0.441154	−	0.0454694i
$741$	13.1029	−	8.58260i	0.481346	−	0.315290i
$742$	−0.684933	+	48.9958i	−0.0251447	+	1.79869i
$743$	−11.7346	+	43.7941i	−0.430501	+	1.60665i	0.321109	+	0.947042i	$0.395944\pi$
$743$	−11.7346	+	43.7941i	−0.430501	+	1.60665i	−0.751610	+	0.659608i	$0.770722\pi$
$744$	16.8598	−	53.7906i	0.618110	−	1.97206i
$745$	3.59085	+	8.67488i	0.131559	+	0.317823i
$746$	−6.99304	+	6.80021i	−0.256033	+	0.248974i
$747$	3.97822	+	14.8469i	0.145555	+	0.543220i
$748$	5.35891	+	22.4975i	0.195941	+	0.822591i
$749$	−28.5449			−1.04301
$750$	41.6340	+	6.10453i	1.52026	+	0.222906i
$751$	−3.63539	+	2.09889i	−0.132657	+	0.0765897i	−0.564860	−	0.825187i	$-0.691070\pi$
$751$	−3.63539	+	2.09889i	−0.132657	+	0.0765897i	0.432203	+	0.901776i	$0.357736\pi$
$752$	−33.1847	−	10.9129i	−1.21012	−	0.397953i
$753$	−17.9347	−	17.9347i	−0.653575	−	0.653575i
$754$	14.8102	+	13.6070i	0.539356	+	0.495537i
$755$	7.09235	−	9.23842i	0.258117	−	0.336221i
$756$	−10.0387	−	18.5676i	−0.365105	−	0.675299i
$757$	4.58497	+	1.22854i	0.166643	+	0.0446520i	0.341176	−	0.939999i	$-0.389175\pi$
$757$	4.58497	+	1.22854i	0.166643	+	0.0446520i	−0.174533	+	0.984651i	$0.555841\pi$
$758$	18.9691	−	31.8198i	0.688988	−	1.15575i
$759$		−	67.8447i		−	2.46261i
$760$	3.54522	+	9.69629i	0.128599	+	0.351721i
$761$	−11.1307	−	6.42630i	−0.403487	−	0.232953i	0.284501	−	0.958676i	$-0.408172\pi$
$761$	−11.1307	−	6.42630i	−0.403487	−	0.232953i	−0.687987	+	0.725723i	$0.741506\pi$
$762$	0.863429	−	61.7642i	0.0312787	−	2.23748i
$763$	−18.4012	−	68.6741i	−0.666167	−	2.48617i
$764$	9.70166	−	5.24527i	0.350994	−	0.189767i
$765$	15.4280	+	20.1160i	0.557802	+	0.727297i
$766$	32.4969	−	31.6009i	1.17416	−	1.14179i
$767$	4.19039	−	4.69089i	0.151306	−	0.169378i
$768$	33.2814	−	26.5612i	1.20094	−	0.958446i
$769$	−24.1968	−	41.9102i	−0.872561	−	1.51132i	−0.859339	−	0.511407i	$-0.829125\pi$
$769$	−24.1968	−	41.9102i	−0.872561	−	1.51132i	−0.0132219	−	0.999913i	$-0.504209\pi$
$770$	−28.8163	−	38.6804i	−1.03847	−	1.39394i
$771$	−1.99317	−	1.15076i	−0.0717823	−	0.0414435i
$772$	32.9871	−	31.1923i	1.18723	−	1.12264i
$773$	6.53632	+	24.3939i	0.235095	+	0.877386i	0.978106	+	0.208107i	$0.0667303\pi$
$773$	6.53632	+	24.3939i	0.235095	+	0.877386i	−0.743011	+	0.669279i	$0.766603\pi$
$774$	9.10969	+	36.0035i	0.327441	+	1.29412i
$775$	−9.67418	−	36.1728i	−0.347507	−	1.29937i
$776$	−1.11913	−	5.00783i	−0.0401745	−	0.179771i
$777$	−25.4020	−	6.80645i	−0.911292	−	0.244180i
$778$	15.9916	+	28.6147i	0.573328	+	1.02589i
$779$	10.5786			0.379018
$780$	−42.6859	−	4.40354i	−1.52840	−	0.157672i
$781$	5.45380			0.195152
$782$	−11.7294	−	20.9881i	−0.419444	−	0.750535i
$783$	−10.9769	−	2.94126i	−0.392283	−	0.105112i
$784$	21.4802	+	14.0582i	0.767149	+	0.502078i
$785$	−4.79748	−	36.5070i	−0.171229	−	1.30299i
$786$	−9.21725	−	36.4287i	−0.328768	−	1.29937i
$787$	−2.14020	−	7.98735i	−0.0762900	−	0.284718i	0.917233	−	0.398352i	$-0.130418\pi$
$787$	−2.14020	−	7.98735i	−0.0762900	−	0.284718i	−0.993523	+	0.113634i	$0.963751\pi$
$788$	−4.47778	−	4.73542i	−0.159514	−	0.168692i
$789$	8.68008	+	5.01145i	0.309019	+	0.178412i
$790$	−0.493950	+	3.37994i	−0.0175739	+	0.120253i
$791$	−12.5353	−	21.7117i	−0.445703	−	0.771980i
$792$	48.0413	+	2.01582i	1.70707	+	0.0716291i
$793$	2.20309	+	1.96803i	0.0782339	+	0.0698867i
$794$	8.48232	−	8.24843i	0.301026	−	0.292726i
$795$	−55.8060	−	7.36040i	−1.97923	−	0.261047i
$796$	−10.0710	−	18.6274i	−0.356958	−	0.660230i
$797$	−11.3853	−	42.4903i	−0.403286	−	1.50508i	−0.807195	−	0.590285i	$-0.799015\pi$
$797$	−11.3853	−	42.4903i	−0.403286	−	1.50508i	0.403908	−	0.914799i	$-0.367651\pi$
$798$	0.314574	−	22.5026i	0.0111358	−	0.796584i
$799$	−21.0030	−	12.1261i	−0.743033	−	0.428990i
$800$	9.22321	−	26.7382i	0.326090	−	0.945339i
$801$		−	38.3226i		−	1.35406i
$802$	−20.6320	+	34.6092i	−0.728541	+	1.22209i
$803$	−7.59126	−	2.03407i	−0.267890	−	0.0717808i
$804$	28.6556	−	15.4928i	1.01060	−	0.546390i
$805$	39.7759	+	30.5361i	1.40192	+	1.07626i
$806$	11.4347	+	36.4334i	0.402770	+	1.28331i
$807$	26.2533	+	26.2533i	0.924160	+	0.924160i
$808$	−46.8341	+	24.4814i	−1.64762	+	0.861253i
$809$	0.285909	−	0.165070i	0.0100520	−	0.00580354i	−0.494966	−	0.868913i	$-0.664819\pi$
$809$	0.285909	−	0.165070i	0.0100520	−	0.00580354i	0.505018	+	0.863109i	$0.331486\pi$
$810$	−13.4586	+	5.35189i	−0.472887	+	0.188046i
$811$	39.0217			1.37024			0.685118	−	0.728432i	$-0.259750\pi$
$811$	39.0217			1.37024			0.685118	+	0.728432i	$0.259750\pi$
$812$	28.1097	−	6.69574i	0.986459	−	0.234974i
$813$	−5.56502	−	20.7689i	−0.195174	−	0.728398i
$814$	11.3890	−	11.0750i	0.399185	−	0.388178i
$815$	2.74152	−	6.61420i	0.0960313	−	0.231685i
$816$	26.3873	−	13.3271i	0.923740	−	0.466541i
$817$	−2.71760	+	10.1422i	−0.0950767	+	0.354831i
$818$	0.582153	−	41.6436i	0.0203545	−	1.45603i
$819$	48.1392	+	24.2900i	1.68212	+	0.848762i
$820$	−22.4862	−	18.2840i	−0.785251	−	0.638505i
$821$	−30.7680	+	17.7639i	−1.07381	+	0.619964i	−0.929220	−	0.369528i	$-0.879519\pi$
$821$	−30.7680	+	17.7639i	−1.07381	+	0.619964i	−0.144589	+	0.989492i	$0.546186\pi$
$822$	−4.48207	+	2.50485i	−0.156330	+	0.0873668i
$823$	−12.9583	−	48.3609i	−0.451697	−	1.68576i	−0.697622	−	0.716466i	$-0.745758\pi$
$823$	−12.9583	−	48.3609i	−0.451697	−	1.68576i	0.245925	−	0.969289i	$-0.420908\pi$
$824$	−7.67451	−	8.34677i	−0.267354	−	0.290773i
$825$	47.9987	−	27.6819i	1.67110	−	0.963759i
$826$	−2.21676	−	8.76112i	−0.0771308	−	0.304838i
$827$	−26.8391	+	26.8391i	−0.933287	+	0.933287i	−0.997910	−	0.0646228i	$-0.979416\pi$
$827$	−26.8391	+	26.8391i	−0.933287	+	0.933287i	0.0646228	+	0.997910i	$0.479416\pi$
$828$	−48.6283	+	11.5833i	−1.68995	+	0.402546i
$829$	13.0896	−	7.55728i	0.454620	−	0.262475i	−0.255159	−	0.966899i	$-0.582128\pi$
$829$	13.0896	−	7.55728i	0.454620	−	0.262475i	0.709780	+	0.704424i	$0.248795\pi$
$830$	9.54748	−	7.11273i	0.331398	−	0.246887i
$831$			75.1872i			2.60821i
$832$	−8.23086	+	27.6451i	−0.285354	+	0.958422i
$833$	12.6024	+	12.6024i	0.436646	+	0.436646i
$834$	−0.853296	+	3.01530i	−0.0295472	+	0.104411i
$835$	25.5201	−	19.5727i	0.883160	−	0.677341i
$836$	11.5786	+	7.12373i	0.400455	+	0.246379i
$837$	−15.2569	−	15.2569i	−0.527356	−	0.527356i
$838$	24.9678	+	14.8843i	0.862498	+	0.514170i
$839$	42.9382	+	24.7904i	1.48239	+	0.855859i	0.999800	−	0.0199874i	$-0.00636262\pi$
$839$	42.9382	+	24.7904i	1.48239	+	0.855859i	0.482590	+	0.875846i	$0.339696\pi$
$840$	−39.5620	+	47.2884i	−1.36502	+	1.63160i
$841$	−6.72130	+	11.6416i	−0.231769	+	0.401435i
$842$	−18.6392	−	33.3522i	−0.642349	−	1.14939i
$843$	2.28119	−	8.51351i	0.0785683	−	0.293221i
$844$	−1.21564	+	43.4711i	−0.0418440	+	1.49634i
$845$	25.4396	−	14.0651i	0.875149	−	0.483854i
$846$	−36.1494	+	35.1526i	−1.24284	+	1.20857i
$847$	−22.4294	−	6.00994i	−0.770684	−	0.206504i
$848$	−11.8198	+	35.9423i	−0.405892	+	1.23426i
$849$	−24.0402	−	13.8796i	−0.825056	−	0.476346i
$850$	10.0629	−	16.8619i	0.345153	−	0.578358i
$851$	−8.25773	+	14.3028i	−0.283071	+	0.490294i
$852$	−1.61536	−	6.78154i	−0.0553414	−	0.232332i
$853$	3.57148	−	3.57148i	0.122285	−	0.122285i	−0.643316	−	0.765601i	$-0.722442\pi$
$853$	3.57148	−	3.57148i	0.122285	−	0.122285i	0.765601	+	0.643316i	$0.222442\pi$
$854$	4.11468	−	1.04110i	0.140801	−	0.0356259i
$855$	14.7740	+	1.94859i	0.505261	+	0.0666403i
$856$	−21.0321	−	6.59216i	−0.718862	−	0.225315i
$857$	−3.82183	+	3.82183i	−0.130551	+	0.130551i	−0.769363	−	0.638812i	$-0.779426\pi$
$857$	−3.82183	+	3.82183i	−0.130551	+	0.130551i	0.638812	+	0.769363i	$0.279426\pi$
$858$	−47.6969	+	30.2981i	−1.62835	+	1.03436i
$859$	−12.1854			−0.415759			−0.207880	−	0.978154i	$-0.566656\pi$
$859$	−12.1854			−0.415759			−0.207880	+	0.978154i	$0.566656\pi$
$860$	23.3063	−	16.8615i	0.794739	−	0.574971i
$861$	31.5876	+	54.7112i	1.07650	+	1.86455i
$862$	4.42845	+	2.63998i	0.150834	+	0.0899182i
$863$	0.435294	+	0.435294i	0.0148176	+	0.0148176i	0.714477	−	0.699659i	$-0.246665\pi$
$863$	0.435294	+	0.435294i	0.0148176	+	0.0148176i	−0.699659	+	0.714477i	$0.746665\pi$
$864$	−3.10860	−	15.9991i	−0.105757	−	0.544301i
$865$	−12.7036	+	30.6488i	−0.431936	+	1.04209i
$866$	11.4627	−	11.1466i	0.389517	−	0.378777i
$867$	−23.8769	+	6.39779i	−0.810901	+	0.217280i
$868$	52.5767	+	15.6756i	1.78457	+	0.532065i
$869$	2.24896	+	3.89532i	0.0762908	+	0.132140i
$870$	3.86451	+	32.9687i	0.131019	+	1.11774i
$871$	−9.94063	+	19.7008i	−0.336825	+	0.667538i
$872$	2.30148	−	54.8492i	0.0779379	−	1.85743i
$873$	−7.15433	−	1.91700i	−0.242137	−	0.0648805i
$874$	−13.5992	−	3.84842i	−0.460000	−	0.130175i
$875$	−5.37434	+	40.5999i	−0.181686	+	1.37253i
$876$	−0.280813	+	10.0418i	−0.00948779	+	0.339282i
$877$	27.3271	−	7.32227i	0.922770	−	0.247255i	0.234001	−	0.972236i	$-0.424818\pi$
$877$	27.3271	−	7.32227i	0.922770	−	0.247255i	0.688769	+	0.724981i	$0.258151\pi$
$878$	−22.9637	−	13.6896i	−0.774988	−	0.462002i
$879$			78.8356i			2.65906i
$880$	−12.2992	−	35.1548i	−0.414607	−	1.18507i
$881$	6.08212	+	10.5345i	0.204912	+	0.354918i	0.950105	−	0.311931i	$-0.100976\pi$
$881$	6.08212	+	10.5345i	0.204912	+	0.354918i	−0.745193	+	0.666849i	$0.767643\pi$
$882$	32.3463	−	18.0771i	1.08916	−	0.608686i
$883$	−6.52301	+	6.52301i	−0.219517	+	0.219517i	−0.808295	−	0.588778i	$-0.799609\pi$
$883$	−6.52301	+	6.52301i	−0.219517	+	0.219517i	0.588778	+	0.808295i	$0.299609\pi$
$884$	−9.51719	+	17.6190i	−0.320098	+	0.592592i
$885$	10.2930	−	1.35262i	0.345995	−	0.0454680i
$886$	−12.8544	+	45.4236i	−0.431851	+	1.52604i
$887$	3.55547	−	13.2692i	0.119381	−	0.445536i	−0.880196	−	0.474610i	$-0.842589\pi$
$887$	3.55547	−	13.2692i	0.119381	−	0.445536i	0.999577	+	0.0290741i	$0.00925587\pi$
$888$	−17.1445	−	10.8814i	−0.575332	−	0.365155i
$889$	60.1188			2.01632
$890$	−27.5828	+	10.9685i	−0.924578	+	0.367665i
$891$	−9.53591	+	16.5167i	−0.319465	+	0.553330i
$892$	−5.20097	−	5.50022i	−0.174141	−	0.184161i
$893$	−13.7702	+	3.68973i	−0.460804	+	0.123472i
$894$	4.30301	−	15.2056i	0.143914	−	0.508552i
$895$	33.6837	+	4.44263i	1.12592	+	0.148501i
$896$	26.3013	+	32.0270i	0.878666	+	1.06995i
$897$	39.1362	−	43.8107i	1.30672	−	1.46280i
$898$	0.287574	−	20.5713i	0.00959648	−	0.686472i
$899$	25.5807	−	14.7690i	0.853165	−	0.492575i
$900$	−28.0361	−	29.6773i	−0.934538	−	0.989244i
$901$	−13.1337	+	22.7483i	−0.437549	+	0.757856i
$902$	−38.1587	−	0.533437i	−1.27055	−	0.0177615i
$903$	−60.5689	+	16.2294i	−2.01561	+	0.540080i
$904$	−4.22197	−	18.8923i	−0.140421	−	0.628347i
$905$	23.1750	−	30.1875i	0.770362	−	1.00347i
$906$	−19.0047	+	4.80861i	−0.631389	+	0.159755i
$907$	13.0827	−	48.8252i	0.434403	−	1.62121i	−0.308089	−	0.951357i	$-0.599690\pi$
$907$	13.0827	−	48.8252i	0.434403	−	1.62121i	0.742492	−	0.669855i	$-0.233644\pi$
$908$	−14.0492	−	4.18872i	−0.466238	−	0.139008i
$909$			76.2799i			2.53004i
$910$	3.70468	−	41.6005i	0.122809	−	1.37904i
$911$		−	16.5153i		−	0.547177i	−0.961847	−	0.273589i	$-0.911789\pi$
$911$		−	16.5153i		−	0.547177i	0.961847	−	0.273589i	$-0.0882107\pi$
$912$	5.42853	−	16.5074i	0.179757	−	0.546616i
$913$	4.05756	−	15.1430i	0.134286	−	0.501161i
$914$	11.4129	+	45.1064i	0.377505	+	1.49199i
$915$	0.635263	+	4.83412i	0.0210012	+	0.159811i
$916$	4.65296	−	7.56274i	0.153738	−	0.249880i
$917$	35.3258	−	9.46553i	1.16656	−	0.312579i
$918$	0.158163	−	11.3140i	0.00522015	−	0.373417i
$919$	8.83777	−	15.3075i	0.291531	−	0.504947i	−0.682641	−	0.730754i	$-0.739169\pi$
$919$	8.83777	−	15.3075i	0.291531	−	0.504947i	0.974172	+	0.225807i	$0.0725020\pi$
$920$	22.2552	+	31.6851i	0.733733	+	1.04463i
$921$	47.5663	−	27.4624i	1.56736	−	0.904918i
$922$	−43.7618	−	0.611765i	−1.44122	−	0.0201474i
$923$	3.52179	+	3.14603i	0.115921	+	0.103553i
$924$	−2.26943	+	81.1546i	−0.0746589	+	2.66979i
$925$	−13.4882	−	0.00636859i	−0.443491	−	0.000209398i
$926$	30.7211	+	8.69372i	1.00956	+	0.285694i
$927$	−15.8089	+	4.23597i	−0.519231	+	0.139128i
$928$	22.2578	+	1.55819i	0.730648	+	0.0511502i
$929$	7.93776	−	13.7486i	0.260429	−	0.451077i	−0.705927	−	0.708285i	$-0.749469\pi$
$929$	7.93776	−	13.7486i	0.260429	−	0.451077i	0.966356	+	0.257208i	$0.0828026\pi$
$930$	−24.9437	+	57.8785i	−0.817936	+	1.89791i
$931$	10.4764			0.343352
$932$	32.7822	−	7.80872i	1.07382	−	0.255783i
$933$	−9.92914	+	37.0561i	−0.325066	+	1.21316i
$934$	−47.8814	−	13.5499i	−1.56673	−	0.443366i
$935$	−3.36893	−	25.6363i	−0.110176	−	0.838397i
$936$	29.8598	+	29.0143i	0.975998	+	0.948364i
$937$	−28.3379	+	28.3379i	−0.925757	+	0.925757i	−0.997428	−	0.0716709i	$-0.977167\pi$
$937$	−28.3379	+	28.3379i	−0.925757	+	0.925757i	0.0716709	+	0.997428i	$0.477167\pi$
$938$	15.4670	+	27.6759i	0.505015	+	0.903651i
$939$	−10.2599	−	17.7707i	−0.334820	−	0.579925i
$940$	35.6477	+	15.9574i	1.16270	+	0.520474i
$941$			7.20876i			0.234999i	0.993073	+	0.117499i	$0.0374879\pi$
$941$			7.20876i			0.234999i	−0.993073	+	0.117499i	$0.962512\pi$
$942$	−31.7350	+	53.2341i	−1.03398	+	1.73446i
$943$	38.3227	−	10.2685i	1.24796	−	0.334390i
$944$	0.389971	−	6.96720i	0.0126925	−	0.226763i
$945$	9.02583	+	21.8048i	0.293610	+	0.709312i
$946$	10.3142	−	36.4475i	0.335345	−	1.18501i
$947$	13.9846	+	3.74717i	0.454440	+	0.121767i	0.478776	−	0.877937i	$-0.341081\pi$
$947$	13.9846	+	3.74717i	0.454440	+	0.121767i	−0.0243364	+	0.999704i	$0.507747\pi$
$948$	4.17751	−	3.95023i	0.135679	−	0.128297i
$949$	−3.72869	−	5.69252i	−0.121038	−	0.184787i
$950$	−2.82604	−	11.1914i	−0.0916889	−	0.363096i
$951$	−42.4610	−	73.5447i	−1.37689	−	2.38485i
$952$	13.3285	+	25.4980i	0.431979	+	0.826395i
$953$	−49.1630	+	13.1732i	−1.59255	+	0.426721i	−0.942781	−	0.333413i	$-0.891799\pi$
$953$	−49.1630	+	13.1732i	−1.59255	+	0.426721i	−0.649765	+	0.760135i	$0.725133\pi$
$954$	38.0737	+	39.1533i	1.23268	+	1.26764i
$955$	−11.3931	+	4.71603i	−0.368672	+	0.152607i
$956$	−22.1774	−	13.6446i	−0.717267	−	0.441297i
$957$	30.9075	+	30.9075i	0.999099	+	0.999099i
$958$	−24.8120	+	41.6210i	−0.801640	+	1.34471i
$959$	−2.49862	−	4.32774i	−0.0806847	−	0.139750i
$960$	−40.0704	+	25.7060i	−1.29327	+	0.829657i
$961$	25.0825			0.809114
$962$	13.7430	−	0.581904i	0.443094	−	0.0187613i
$963$	−22.4962	+	22.4962i	−0.724930	+	0.724930i
$964$	10.3195	−	5.57929i	0.332367	−	0.179697i
$965$	−40.2764	+	30.8901i	−1.29654	+	0.994386i
$966$	−20.7034	−	81.8246i	−0.666122	−	2.63266i
$967$	−6.25654	+	6.25654i	−0.201197	+	0.201197i	−0.800513	−	0.599316i	$-0.795439\pi$
$967$	−6.25654	+	6.25654i	−0.201197	+	0.201197i	0.599316	+	0.800513i	$0.295439\pi$
$968$	−15.1382	−	9.60802i	−0.486561	−	0.308814i
$969$	6.03202	−	10.4478i	0.193776	−	0.335630i
$970$	0.667908	+	5.69802i	0.0214452	+	0.182953i
$971$	7.44507	+	4.29841i	0.238924	+	0.137943i	0.614682	−	0.788775i	$-0.289284\pi$
$971$	7.44507	+	4.29841i	0.238924	+	0.137943i	−0.375758	+	0.926718i	$0.622618\pi$
$972$	39.9285	+	11.9046i	1.28071	+	0.381840i
$973$	−2.94600	−	0.789380i	−0.0944446	−	0.0253063i
$974$	−15.9513	−	16.4036i	−0.511114	−	0.525606i
$975$	46.9634	+	9.81253i	1.50403	+	0.314252i
$976$	3.27216	+	0.183151i	0.104739	+	0.00586251i
$977$	−9.36304	+	34.9433i	−0.299550	+	1.11794i	0.637986	+	0.770048i	$0.279768\pi$
$977$	−9.36304	+	34.9433i	−0.299550	+	1.11794i	−0.937536	+	0.347888i	$0.886899\pi$
$978$	−10.5199	+	5.87914i	−0.336388	+	0.187994i
$979$	−19.5435	+	33.8503i	−0.624612	+	1.08186i
$980$	−22.2690	−	18.1074i	−0.711357	−	0.578421i
$981$	−68.6239	−	39.6200i	−2.19099	−	1.26497i
$982$	9.44578	−	15.8449i	0.301427	−	0.505630i
$983$	23.0351	+	23.0351i	0.734707	+	0.734707i	0.971548	−	0.236841i	$-0.0761121\pi$
$983$	23.0351	+	23.0351i	0.734707	+	0.734707i	−0.236841	+	0.971548i	$0.576112\pi$
$984$	10.6389	+	47.6065i	0.339157	+	1.51764i
$985$	4.43439	+	5.78183i	0.141291	+	0.184224i
$986$	14.9049	+	4.21792i	0.474669	+	0.134326i
$987$	−60.2005	−	60.2005i	−1.91620	−	1.91620i
$988$	3.36757	+	11.2793i	0.107137	+	0.358842i
$989$			39.3797i			1.25220i
$990$	−53.1940	−	7.77386i	−1.69062	−	0.247069i
$991$	5.26739	−	3.04113i	0.167324	−	0.0966046i	−0.413999	−	0.910277i	$-0.635868\pi$
$991$	5.26739	−	3.04113i	0.167324	−	0.0966046i	0.581323	+	0.813673i	$0.302535\pi$
$992$	35.1188	+	23.6920i	1.11502	+	0.752222i
$993$	10.1603	−	10.1603i	0.322428	−	0.322428i
$994$	6.57760	−	1.66428i	0.208629	−	0.0527877i
$995$	9.05487	+	21.8750i	0.287059	+	0.693484i
$996$	−20.0314	−	0.560164i	−0.634719	−	0.0177495i
$997$	−13.8378	−	51.6433i	−0.438247	−	1.63556i	−0.733175	−	0.680040i	$-0.761962\pi$
$997$	−13.8378	−	51.6433i	−0.438247	−	1.63556i	0.294928	−	0.955519i	$-0.404704\pi$
$998$	−28.1442	−	50.3600i	−0.890889	−	1.59412i
$999$	−6.73107	+	3.88618i	−0.212962	+	0.122953i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bg.c.23.8	✓	144
4.3	odd	2	inner	260.2.bg.c.23.23	yes	144
5.2	odd	4	inner	260.2.bg.c.127.13	yes	144
13.4	even	6	inner	260.2.bg.c.43.7	yes	144
20.7	even	4	inner	260.2.bg.c.127.7	yes	144
52.43	odd	6	inner	260.2.bg.c.43.13	yes	144
65.17	odd	12	inner	260.2.bg.c.147.23	yes	144
260.147	even	12	inner	260.2.bg.c.147.8	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bg.c.23.8	✓	144	1.1	even	1	trivial
260.2.bg.c.23.23	yes	144	4.3	odd	2	inner
260.2.bg.c.43.7	yes	144	13.4	even	6	inner
260.2.bg.c.43.13	yes	144	52.43	odd	6	inner
260.2.bg.c.127.7	yes	144	20.7	even	4	inner
260.2.bg.c.127.13	yes	144	5.2	odd	4	inner
260.2.bg.c.147.8	yes	144	260.147	even	12	inner
260.2.bg.c.147.23	yes	144	65.17	odd	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.23451 + 0.689918i) q^{2} +(-2.57063 - 0.688800i) q^{3} +(1.04803 - 1.70342i) q^{4} +(-1.36165 + 1.77367i) q^{5} +(3.64869 - 0.923198i) q^{6} +(0.948066 + 3.53823i) q^{7} +(-0.118577 + 2.82594i) q^{8} +(3.53564 + 2.04130i) q^{9} +O(q^{10})\)	\(q+(-1.23451 + 0.689918i) q^{2} +(-2.57063 - 0.688800i) q^{3} +(1.04803 - 1.70342i) q^{4} +(-1.36165 + 1.77367i) q^{5} +(3.64869 - 0.923198i) q^{6} +(0.948066 + 3.53823i) q^{7} +(-0.118577 + 2.82594i) q^{8} +(3.53564 + 2.04130i) q^{9} +(0.457283 - 3.12904i) q^{10} +(-2.08202 - 3.60616i) q^{11} +(-3.86741 + 3.65699i) q^{12} +(0.735753 - 3.52968i) q^{13} +(-3.61148 - 3.71389i) q^{14} +(4.72201 - 3.62156i) q^{15} +(-1.80328 - 3.57046i) q^{16} +(-0.718738 - 2.68237i) q^{17} +(-5.77312 - 0.0807049i) q^{18} +(-1.41368 - 0.816190i) q^{19} +(1.59426 + 4.17832i) q^{20} -9.74852i q^{21} +(5.05822 + 3.01541i) q^{22} +(-5.91356 - 1.58453i) q^{23} +(2.25132 - 7.18279i) q^{24} +(-1.29181 - 4.83024i) q^{25} +(1.52690 + 4.86504i) q^{26} +(-2.03729 - 2.03729i) q^{27} +(7.02069 + 2.09320i) q^{28} +(3.41585 - 1.97214i) q^{29} +(-3.33079 + 7.72864i) q^{30} +7.48883 q^{31} +(4.68949 + 3.16365i) q^{32} +(2.86818 + 10.7042i) q^{33} +(2.73790 + 2.81554i) q^{34} +(-7.56659 - 3.13628i) q^{35} +(7.18264 - 3.88335i) q^{36} +(0.698203 - 2.60573i) q^{37} +(2.30831 + 0.0322688i) q^{38} +(-4.32260 + 8.56674i) q^{39} +(-4.85083 - 4.05826i) q^{40} +(-5.61226 + 3.24024i) q^{41} +(6.72568 + 12.0346i) q^{42} +(-1.66481 - 6.21314i) q^{43} +(-8.32481 - 0.232798i) q^{44} +(-8.43491 + 3.49152i) q^{45} +(8.39354 - 2.12375i) q^{46} +(6.17535 - 6.17535i) q^{47} +(2.17625 + 10.4204i) q^{48} +(-5.55806 + 3.20895i) q^{49} +(4.92723 + 5.07173i) q^{50} +7.39045i q^{51} +(-5.24145 - 4.95250i) q^{52} +(-6.68851 - 6.68851i) q^{53} +(3.92062 + 1.10949i) q^{54} +(9.23111 + 1.21752i) q^{55} +(-10.1112 + 2.25962i) q^{56} +(3.07187 + 3.07187i) q^{57} +(-2.85628 + 4.79129i) q^{58} +(1.51080 + 0.872263i) q^{59} +(-1.22024 - 11.8391i) q^{60} +(-0.409660 + 0.709552i) q^{61} +(-9.24503 + 5.16668i) q^{62} +(-3.87058 + 14.4452i) q^{63} +(-7.97188 - 0.670182i) q^{64} +(5.25866 + 6.11118i) q^{65} +(-10.9258 - 11.2356i) q^{66} +(-5.91166 - 1.58403i) q^{67} +(-5.32246 - 1.58688i) q^{68} +(14.1102 + 8.14652i) q^{69} +(11.5048 - 1.34856i) q^{70} +(-0.654871 + 1.13427i) q^{71} +(-6.18785 + 9.74946i) q^{72} +(1.33457 - 1.33457i) q^{73} +(0.935801 + 3.69850i) q^{74} +(-0.00628282 + 13.3066i) q^{75} +(-2.87189 + 1.55271i) q^{76} +(10.7855 - 10.7855i) q^{77} +(-0.574067 - 13.5580i) q^{78} -1.08018 q^{79} +(8.78826 + 1.66329i) q^{80} +(-2.29007 - 3.96651i) q^{81} +(4.69289 - 7.87211i) q^{82} +(2.66219 + 2.66219i) q^{83} +(-16.6058 - 10.2167i) q^{84} +(5.73631 + 2.37764i) q^{85} +(6.34178 + 6.52160i) q^{86} +(-10.1393 + 2.71682i) q^{87} +(10.4377 - 5.45605i) q^{88} +(-4.69340 - 8.12921i) q^{89} +(8.00411 - 10.1297i) q^{90} +(13.1864 - 0.743111i) q^{91} +(-8.89669 + 8.41265i) q^{92} +(-19.2510 - 5.15830i) q^{93} +(-3.36304 + 11.8840i) q^{94} +(3.37260 - 1.39604i) q^{95} +(-9.87586 - 11.3627i) q^{96} +(-1.75239 + 0.469552i) q^{97} +(4.64756 - 7.79608i) q^{98} -17.0001i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) \) 144 * q - 6 * q^2 - 12 * q^6	\( 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Introduction

L-functions

Modular forms

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