LMFDB - Embedded newform 465.2.bk.a.457.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [465,2,Mod(58,465)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(465, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 15, 2]))

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

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

chi := DirichletCharacter("465.58");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 465 = 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	465.bk (of order $20$, degree $8$, 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:	$3.71304369399$
Analytic rank:	$0$
Dimension:	$256$
Relative dimension:	$32$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			457.11
Character	$\chi$	$=$	465.457
Dual form			465.2.bk.a.58.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.857660 + 0.437000i) q^{2} +(0.453990 - 0.891007i) q^{3} +(-0.630958 + 0.868439i) q^{4} +(-2.13368 - 0.668885i) q^{5} +0.962575i q^{6} +(0.367045 + 2.31743i) q^{7} +(0.462800 - 2.92200i) q^{8} +(-0.587785 - 0.809017i) q^{9} +O(q^{10})$	\(q+(-0.857660 + 0.437000i) q^{2} +(0.453990 - 0.891007i) q^{3} +(-0.630958 + 0.868439i) q^{4} +(-2.13368 - 0.668885i) q^{5} +0.962575i q^{6} +(0.367045 + 2.31743i) q^{7} +(0.462800 - 2.92200i) q^{8} +(-0.587785 - 0.809017i) q^{9} +(2.12228 - 0.358742i) q^{10} +(1.83599 - 2.52702i) q^{11} +(0.487336 + 0.956451i) q^{12} +(0.660070 - 1.29546i) q^{13} +(-1.32752 - 1.82717i) q^{14} +(-1.56465 + 1.59746i) q^{15} +(0.216560 + 0.666505i) q^{16} +(-0.0147032 + 0.0928326i) q^{17} +(0.857660 + 0.437000i) q^{18} +(2.22921 + 0.724315i) q^{19} +(1.92715 - 1.43093i) q^{20} +(2.23148 + 0.725053i) q^{21} +(-0.470347 + 2.96965i) q^{22} +(8.99212 + 1.42421i) q^{23} +(-2.39342 - 1.73892i) q^{24} +(4.10519 + 2.85437i) q^{25} +1.39952i q^{26} +(-0.987688 + 0.156434i) q^{27} +(-2.24414 - 1.14345i) q^{28} +(2.10414 - 6.47589i) q^{29} +(0.643852 - 2.05383i) q^{30} +(0.479054 - 5.54712i) q^{31} +(3.70685 + 3.70685i) q^{32} +(-1.41807 - 2.78312i) q^{33} +(-0.0279574 - 0.0860441i) q^{34} +(0.766939 - 5.19017i) q^{35} +1.07345 q^{36} +(-0.681104 + 0.681104i) q^{37} +(-2.22843 + 0.352949i) q^{38} +(-0.854599 - 1.17625i) q^{39} +(-2.94195 + 5.92506i) q^{40} +(0.503168 - 1.54859i) q^{41} +(-2.23070 + 0.353309i) q^{42} +(-0.167700 + 0.0854472i) q^{43} +(1.03613 + 3.18889i) q^{44} +(0.713006 + 2.11934i) q^{45} +(-8.33457 + 2.70807i) q^{46} +(2.33112 - 4.57508i) q^{47} +(0.692176 + 0.109630i) q^{48} +(1.42162 - 0.461913i) q^{49} +(-4.76822 - 0.654119i) q^{50} +(0.0760393 + 0.0552458i) q^{51} +(0.708553 + 1.39061i) q^{52} +(-11.5752 - 1.83333i) q^{53} +(0.778739 - 0.565787i) q^{54} +(-5.60770 + 4.16379i) q^{55} +6.94141 q^{56} +(1.65741 - 1.65741i) q^{57} +(1.02532 + 6.47362i) q^{58} +(12.6842 - 4.12135i) q^{59} +(-0.400064 - 2.36673i) q^{60} -6.69194i q^{61} +(2.01322 + 4.96689i) q^{62} +(1.65910 - 1.65910i) q^{63} +(-6.13212 - 1.99245i) q^{64} +(-2.27489 + 2.32259i) q^{65} +(2.43245 + 1.76728i) q^{66} +(5.29128 + 5.29128i) q^{67} +(-0.0713424 - 0.0713424i) q^{68} +(5.35132 - 7.36546i) q^{69} +(1.61033 + 4.78656i) q^{70} +(-8.89901 + 6.46551i) q^{71} +(-2.63598 + 1.34310i) q^{72} +(1.52088 + 9.60249i) q^{73} +(0.286514 - 0.881798i) q^{74} +(4.40698 - 2.36189i) q^{75} +(-2.03556 + 1.47892i) q^{76} +(6.53010 + 3.32725i) q^{77} +(1.24698 + 0.635367i) q^{78} +(0.943487 - 0.685483i) q^{79} +(-0.0162558 - 1.56696i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(0.245187 + 1.54805i) q^{82} +(-7.62820 + 3.88676i) q^{83} +(-2.03764 + 1.48043i) q^{84} +(0.0934664 - 0.188240i) q^{85} +(0.106489 - 0.146569i) q^{86} +(-4.81480 - 4.81480i) q^{87} +(-6.53427 - 6.53427i) q^{88} +(-6.07012 - 4.41020i) q^{89} +(-1.53767 - 1.50609i) q^{90} +(3.24442 + 1.05418i) q^{91} +(-6.91050 + 6.91050i) q^{92} +(-4.72503 - 2.94518i) q^{93} +4.94257i q^{94} +(-4.27194 - 3.03654i) q^{95} +(4.98570 - 1.61995i) q^{96} +(0.677140 + 4.27529i) q^{97} +(-1.01741 + 1.01741i) q^{98} -3.12357 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 256 q + 12 q^{7} + 12 q^{8}+O(q^{10}) $ 256 * q + 12 * q^7 + 12 * q^8	$ 256 q + 12 q^{7} + 12 q^{8} + 8 q^{10} + 64 q^{16} + 60 q^{20} - 40 q^{21} - 120 q^{22} + 16 q^{25} + 12 q^{28} - 16 q^{31} - 56 q^{32} - 24 q^{33} - 264 q^{36} - 36 q^{38} - 16 q^{40} + 24 q^{41} - 20 q^{42} - 20 q^{46} - 96 q^{47} - 84 q^{50} - 16 q^{51} + 180 q^{52} - 40 q^{53} - 80 q^{55} + 32 q^{56} + 64 q^{62} + 8 q^{63} - 120 q^{65} + 24 q^{66} + 128 q^{67} - 176 q^{70} - 120 q^{71} + 12 q^{72} - 40 q^{73} + 60 q^{76} + 40 q^{77} - 48 q^{80} + 64 q^{81} + 44 q^{82} + 120 q^{85} + 16 q^{87} + 12 q^{90} + 40 q^{91} + 88 q^{93} - 120 q^{95} - 40 q^{96} - 152 q^{97} - 8 q^{98}+O(q^{100}) $ 256 * q + 12 * q^7 + 12 * q^8 + 8 * q^10 + 64 * q^16 + 60 * q^20 - 40 * q^21 - 120 * q^22 + 16 * q^25 + 12 * q^28 - 16 * q^31 - 56 * q^32 - 24 * q^33 - 264 * q^36 - 36 * q^38 - 16 * q^40 + 24 * q^41 - 20 * q^42 - 20 * q^46 - 96 * q^47 - 84 * q^50 - 16 * q^51 + 180 * q^52 - 40 * q^53 - 80 * q^55 + 32 * q^56 + 64 * q^62 + 8 * q^63 - 120 * q^65 + 24 * q^66 + 128 * q^67 - 176 * q^70 - 120 * q^71 + 12 * q^72 - 40 * q^73 + 60 * q^76 + 40 * q^77 - 48 * q^80 + 64 * q^81 + 44 * q^82 + 120 * q^85 + 16 * q^87 + 12 * q^90 + 40 * q^91 + 88 * q^93 - 120 * q^95 - 40 * q^96 - 152 * q^97 - 8 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/465\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$406$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{9}{10}\right)$

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 $

$2$	−0.857660	+	0.437000i	−0.606457	+	0.309005i	−0.730120	−	0.683319i	$-0.760536\pi$
$2$	−0.857660	+	0.437000i	−0.606457	+	0.309005i	0.123663	+	0.992324i	$0.460536\pi$
$3$	0.453990	−	0.891007i	0.262112	−	0.514423i
$3$	0.453990	−	0.891007i	0.262112	−	0.514423i
$4$	−0.630958	+	0.868439i	−0.315479	+	0.434220i
$5$	−2.13368	−	0.668885i	−0.954211	−	0.299135i
$5$	−2.13368	−	0.668885i	−0.954211	−	0.299135i
$6$			0.962575i			0.392969i
$7$	0.367045	+	2.31743i	0.138730	+	0.875907i	0.954647	+	0.297739i	$0.0962324\pi$
$7$	0.367045	+	2.31743i	0.138730	+	0.875907i	−0.815917	+	0.578169i	$0.803768\pi$
$8$	0.462800	−	2.92200i	0.163624	−	1.03308i
$9$	−0.587785	−	0.809017i	−0.195928	−	0.269672i
$10$	2.12228	−	0.358742i	0.671122	−	0.113444i
$11$	1.83599	−	2.52702i	0.553572	−	0.761926i	−0.436920	−	0.899501i	$-0.643931\pi$
$11$	1.83599	−	2.52702i	0.553572	−	0.761926i	0.990491	+	0.137574i	$0.0439306\pi$
$12$	0.487336	+	0.956451i	0.140682	+	0.276104i
$13$	0.660070	−	1.29546i	0.183071	−	0.359296i	−0.781173	−	0.624315i	$-0.785378\pi$
$13$	0.660070	−	1.29546i	0.183071	−	0.359296i	0.964243	+	0.265019i	$0.0853782\pi$
$14$	−1.32752	−	1.82717i	−0.354794	−	0.488332i
$15$	−1.56465	+	1.59746i	−0.403991	+	0.412461i
$16$	0.216560	+	0.666505i	0.0541401	+	0.166626i
$17$	−0.0147032	+	0.0928326i	−0.00356606	+	0.0225152i	−0.989407	−	0.145167i	$-0.953628\pi$
$17$	−0.0147032	+	0.0928326i	−0.00356606	+	0.0225152i	0.985841	+	0.167682i	$0.0536282\pi$
$18$	0.857660	+	0.437000i	0.202152	+	0.103002i
$19$	2.22921	+	0.724315i	0.511417	+	0.166169i	0.553346	−	0.832951i	$-0.313351\pi$
$19$	2.22921	+	0.724315i	0.511417	+	0.166169i	−0.0419299	+	0.999121i	$0.513351\pi$
$20$	1.92715	−	1.43093i	0.430924	−	0.319966i
$21$	2.23148	+	0.725053i	0.486950	+	0.158219i
$22$	−0.470347	+	2.96965i	−0.100278	+	0.633132i
$23$	8.99212	+	1.42421i	1.87499	+	0.296969i	0.986729	−	0.162375i	$-0.0519155\pi$
$23$	8.99212	+	1.42421i	1.87499	+	0.296969i	0.888258	+	0.459344i	$0.151915\pi$
$24$	−2.39342	−	1.73892i	−0.488554	−	0.354955i
$25$	4.10519	+	2.85437i	0.821037	+	0.570875i
$26$			1.39952i			0.274468i
$27$	−0.987688	+	0.156434i	−0.190081	+	0.0301058i
$28$	−2.24414	−	1.14345i	−0.424103	−	0.216091i
$29$	2.10414	−	6.47589i	0.390730	−	1.20254i	−0.541508	−	0.840695i	$-0.682146\pi$
$29$	2.10414	−	6.47589i	0.390730	−	1.20254i	0.932238	−	0.361846i	$-0.117854\pi$
$30$	0.643852	−	2.05383i	0.117551	−	0.374976i
$31$	0.479054	−	5.54712i	0.0860406	−	0.996292i
$31$	0.479054	−	5.54712i	0.0860406	−	0.996292i
$32$	3.70685	+	3.70685i	0.655284	+	0.655284i
$33$	−1.41807	−	2.78312i	−0.246855	−	0.484480i
$34$	−0.0279574	−	0.0860441i	−0.00479466	−	0.0147564i
$35$	0.766939	−	5.19017i	0.129636	−	0.877299i
$36$	1.07345			0.178908
$37$	−0.681104	+	0.681104i	−0.111973	+	0.111973i	−0.760873	−	0.648900i	$-0.775229\pi$
$37$	−0.681104	+	0.681104i	−0.111973	+	0.111973i	0.648900	+	0.760873i	$0.275229\pi$
$38$	−2.22843	+	0.352949i	−0.361500	+	0.0572559i
$39$	−0.854599	−	1.17625i	−0.136845	−	0.188351i
$40$	−2.94195	+	5.92506i	−0.465163	+	0.936834i
$41$	0.503168	−	1.54859i	0.0785816	−	0.241849i	−0.904047	−	0.427434i	$-0.859418\pi$
$41$	0.503168	−	1.54859i	0.0785816	−	0.241849i	0.982628	+	0.185584i	$0.0594178\pi$
$42$	−2.23070	+	0.353309i	−0.344205	+	0.0545167i
$43$	−0.167700	+	0.0854472i	−0.0255739	+	0.0130306i	−0.466731	−	0.884399i	$-0.654568\pi$
$43$	−0.167700	+	0.0854472i	−0.0255739	+	0.0130306i	0.441157	+	0.897430i	$0.354568\pi$
$44$	1.03613	+	3.18889i	0.156203	+	0.480744i
$45$	0.713006	+	2.11934i	0.106289	+	0.315933i
$46$	−8.33457	+	2.70807i	−1.22887	+	0.399282i
$47$	2.33112	−	4.57508i	0.340029	−	0.667345i	−0.656155	−	0.754627i	$-0.727818\pi$
$47$	2.33112	−	4.57508i	0.340029	−	0.667345i	0.996184	+	0.0872819i	$0.0278181\pi$
$48$	0.692176	+	0.109630i	0.0999071	+	0.0158237i
$49$	1.42162	−	0.461913i	0.203089	−	0.0659876i
$50$	−4.76822	−	0.654119i	−0.674327	−	0.0925064i
$51$	0.0760393	+	0.0552458i	0.0106476	+	0.00773596i
$52$	0.708553	+	1.39061i	0.0982586	+	0.192843i
$53$	−11.5752	−	1.83333i	−1.58998	−	0.251827i	−0.702158	−	0.712022i	$-0.747780\pi$
$53$	−11.5752	−	1.83333i	−1.58998	−	0.251827i	−0.887818	+	0.460194i	$0.847780\pi$
$54$	0.778739	−	0.565787i	0.105973	−	0.0769939i
$55$	−5.60770	+	4.16379i	−0.756143	+	0.561446i
$56$	6.94141			0.927585
$57$	1.65741	−	1.65741i	0.219529	−	0.219529i
$58$	1.02532	+	6.47362i	0.134631	+	0.850028i
$59$	12.6842	−	4.12135i	1.65134	−	0.536553i	0.672311	−	0.740268i	$-0.265302\pi$
$59$	12.6842	−	4.12135i	1.65134	−	0.536553i	0.979030	+	0.203715i	$0.0653016\pi$
$60$	−0.400064	−	2.36673i	−0.0516480	−	0.305544i
$61$		−	6.69194i		−	0.856815i	−0.903586	−	0.428407i	$-0.859075\pi$
$61$		−	6.69194i		−	0.856815i	0.903586	−	0.428407i	$-0.140925\pi$
$62$	2.01322	+	4.96689i	0.255680	+	0.630795i
$63$	1.65910	−	1.65910i	0.209027	−	0.209027i
$64$	−6.13212	−	1.99245i	−0.766514	−	0.249056i
$65$	−2.27489	+	2.32259i	−0.282166	+	0.288082i
$66$	2.43245	+	1.76728i	0.299414	+	0.217537i
$67$	5.29128	+	5.29128i	0.646432	+	0.646432i	0.952129	−	0.305697i	$-0.0988893\pi$
$67$	5.29128	+	5.29128i	0.646432	+	0.646432i	−0.305697	+	0.952129i	$0.598889\pi$
$68$	−0.0713424	−	0.0713424i	−0.00865153	−	0.00865153i
$69$	5.35132	−	7.36546i	0.644223	−	0.886697i
$70$	1.61033	+	4.78656i	0.192471	+	0.572103i
$71$	−8.89901	+	6.46551i	−1.05612	+	0.767315i	−0.973366	−	0.229256i	$-0.926371\pi$
$71$	−8.89901	+	6.46551i	−1.05612	+	0.767315i	−0.0827516	+	0.996570i	$0.526371\pi$
$72$	−2.63598	+	1.34310i	−0.310653	+	0.158285i
$73$	1.52088	+	9.60249i	0.178006	+	1.12389i	0.901252	+	0.433295i	$0.142649\pi$
$73$	1.52088	+	9.60249i	0.178006	+	1.12389i	−0.723246	+	0.690591i	$0.757351\pi$
$74$	0.286514	−	0.881798i	0.0333065	−	0.102507i
$75$	4.40698	−	2.36189i	0.508874	−	0.272727i
$76$	−2.03556	+	1.47892i	−0.233495	+	0.169644i
$77$	6.53010	+	3.32725i	0.744174	+	0.379175i
$78$	1.24698	+	0.635367i	0.141192	+	0.0719411i
$79$	0.943487	−	0.685483i	0.106151	−	0.0771229i	−0.533444	−	0.845836i	$-0.679102\pi$
$79$	0.943487	−	0.685483i	0.106151	−	0.0771229i	0.639594	+	0.768713i	$0.279102\pi$
$80$	−0.0162558	−	1.56696i	−0.00181745	−	0.175192i
$81$	−0.309017	+	0.951057i	−0.0343352	+	0.105673i
$82$	0.245187	+	1.54805i	0.0270764	+	0.170953i
$83$	−7.62820	+	3.88676i	−0.837304	+	0.426628i	−0.819407	−	0.573212i	$-0.805697\pi$
$83$	−7.62820	+	3.88676i	−0.837304	+	0.426628i	−0.0178971	+	0.999840i	$0.505697\pi$
$84$	−2.03764	+	1.48043i	−0.222324	+	0.161528i
$85$	0.0934664	−	0.188240i	0.0101379	−	0.0204175i
$86$	0.106489	−	0.146569i	0.0114830	−	0.0158050i
$87$	−4.81480	−	4.81480i	−0.516200	−	0.516200i
$88$	−6.53427	−	6.53427i	−0.696556	−	0.696556i
$89$	−6.07012	−	4.41020i	−0.643432	−	0.467481i	0.217596	−	0.976039i	$-0.430179\pi$
$89$	−6.07012	−	4.41020i	−0.643432	−	0.467481i	−0.861027	+	0.508558i	$0.830179\pi$
$90$	−1.53767	−	1.50609i	−0.162085	−	0.158756i
$91$	3.24442	+	1.05418i	0.340108	+	0.110508i
$92$	−6.91050	+	6.91050i	−0.720469	+	0.720469i
$93$	−4.72503	−	2.94518i	−0.489963	−	0.305401i
$94$			4.94257i			0.509787i
$95$	−4.27194	−	3.03654i	−0.438292	−	0.311543i
$96$	4.98570	−	1.61995i	0.508851	−	0.165336i
$97$	0.677140	+	4.27529i	0.0687531	+	0.434090i	0.997922	+	0.0644345i	$0.0205244\pi$
$97$	0.677140	+	4.27529i	0.0687531	+	0.434090i	−0.929169	+	0.369656i	$0.879476\pi$
$98$	−1.01741	+	1.01741i	−0.102774	+	0.102774i
$99$	−3.12357			−0.313931
$100$	−5.06905	+	1.76411i	−0.506905	+	0.176411i
$101$	2.67183	−	1.94120i	0.265857	−	0.193156i	−0.446868	−	0.894600i	$-0.647461\pi$
$101$	2.67183	−	1.94120i	0.265857	−	0.193156i	0.712725	+	0.701443i	$0.247461\pi$
$102$	−0.0893583	−	0.0141530i	−0.00884779	−	0.00140135i
$103$	2.03556	+	3.99502i	0.200570	+	0.393641i	0.969281	−	0.245955i	$-0.0791016\pi$
$103$	2.03556	+	3.99502i	0.200570	+	0.393641i	−0.768711	+	0.639596i	$0.779102\pi$
$104$	−3.47986	−	2.52827i	−0.341228	−	0.247917i
$105$	−4.27629	−	3.03964i	−0.417324	−	0.296638i
$106$	10.7288	−	3.48598i	1.04207	−	0.338589i
$107$	−1.88085	−	0.297897i	−0.181828	−	0.0287988i	0.0648562	−	0.997895i	$-0.479341\pi$
$107$	−1.88085	−	0.297897i	−0.181828	−	0.0287988i	−0.246685	+	0.969096i	$0.579341\pi$
$108$	0.487336	−	0.956451i	0.0468939	−	0.0920345i
$109$	12.4732	−	4.05278i	1.19471	−	0.388185i	0.356899	−	0.934143i	$-0.383834\pi$
$109$	12.4732	−	4.05278i	1.19471	−	0.388185i	0.837813	+	0.545957i	$0.183834\pi$
$110$	2.98993	−	6.02169i	0.285078	−	0.574145i
$111$	0.297653	+	0.916083i	0.0282520	+	0.0869507i
$112$	−1.46509	+	0.746502i	−0.138438	+	0.0705378i
$113$	−10.0902	+	1.59813i	−0.949208	+	0.150340i	−0.611794	−	0.791017i	$-0.709552\pi$
$113$	−10.0902	+	1.59813i	−0.949208	+	0.150340i	−0.337413	+	0.941357i	$0.609552\pi$
$114$	−0.697207	+	2.14578i	−0.0652995	+	0.200971i
$115$	−18.2337	−	9.05351i	−1.70030	−	0.844245i
$116$	4.29629	+	5.91333i	0.398900	+	0.549039i
$117$	−1.43603	+	0.227445i	−0.132761	+	0.0210273i
$118$	−9.07770	+	9.07770i	−0.835670	+	0.835670i
$119$	−0.220530			−0.0202160
$120$	3.94365	+	5.31122i	0.360004	+	0.484846i
$121$	0.384199	+	1.18244i	0.0349272	+	0.107495i
$122$	2.92437	+	5.73941i	0.264760	+	0.519621i
$123$	−1.15137	−	1.15137i	−0.103816	−	0.103816i
$124$	4.51507	+	3.91603i	0.405465	+	0.351670i
$125$	−6.84990	−	8.83622i	−0.612674	−	0.790336i
$126$	−0.697917	+	2.14797i	−0.0621754	+	0.191356i
$127$	−14.2195	−	7.24519i	−1.26177	−	0.642906i	−0.310301	−	0.950638i	$-0.600430\pi$
$127$	−14.2195	−	7.24519i	−1.26177	−	0.642906i	−0.951473	+	0.307732i	$0.900430\pi$
$128$	−4.22549	+	0.669253i	−0.373484	+	0.0591541i
$129$			0.188214i			0.0165713i
$130$	0.936116	−	2.98612i	0.0821028	−	0.261900i
$131$	−10.8746	−	7.90088i	−0.950121	−	0.690303i	0.000714752	−	1.00000i	$-0.499772\pi$
$131$	−10.8746	−	7.90088i	−0.950121	−	0.690303i	−0.950835	+	0.309697i	$0.899772\pi$
$132$	3.31172	+	0.524525i	0.288248	+	0.0456540i
$133$	−0.860330	+	5.43191i	−0.0746001	+	0.471006i
$134$	−6.85040	−	2.22583i	−0.591785	−	0.192283i
$135$	2.21205	+	0.326869i	0.190383	+	0.0281324i
$136$	0.264452	+	0.0859258i	0.0226766	+	0.00736808i
$137$	8.58057	+	4.37202i	0.733087	+	0.373527i	0.780339	−	0.625356i	$-0.215046\pi$
$137$	8.58057	+	4.37202i	0.733087	+	0.373527i	−0.0472519	+	0.998883i	$0.515046\pi$
$138$	−1.37091	+	8.65559i	−0.116700	+	0.736813i
$139$	2.20725	+	6.79323i	0.187217	+	0.576194i	0.999980	−	0.00640067i	$-0.00203741\pi$
$139$	2.20725	+	6.79323i	0.187217	+	0.576194i	−0.812763	+	0.582595i	$0.802037\pi$
$140$	4.02344	+	3.94082i	0.340043	+	0.333060i
$141$	−3.01812	−	4.15409i	−0.254172	−	0.349837i
$142$	4.80690	−	9.43407i	0.403386	−	0.791690i
$143$	−2.06178	−	4.04647i	−0.172415	−	0.338383i
$144$	0.411923	−	0.566963i	0.0343269	−	0.0472469i
$145$	−8.82119	+	12.4100i	−0.732560	+	1.03060i
$146$	−5.50069	−	7.57104i	−0.455240	−	0.626584i
$147$	0.233835	−	1.47638i	0.0192864	−	0.121770i
$148$	−0.161749	−	1.02125i	−0.0132957	−	0.0839459i
$149$		−	11.4202i		−	0.935578i	−0.883840	−	0.467789i	$-0.845051\pi$
$149$		−	11.4202i		−	0.935578i	0.883840	−	0.467789i	$-0.154949\pi$
$150$	−2.74755	+	3.95155i	−0.224336	+	0.322642i
$151$	2.08622	−	2.87144i	0.169774	−	0.233675i	−0.715649	−	0.698461i	$-0.753869\pi$
$151$	2.08622	−	2.87144i	0.169774	−	0.233675i	0.885423	+	0.464786i	$0.153869\pi$
$152$	3.14813	−	6.17855i	0.255347	−	0.501147i
$153$	0.0837455	−	0.0426705i	0.00677042	−	0.00344970i
$154$	−7.05461			−0.568477
$155$	−4.73253	+	11.5153i	−0.380126	+	0.924935i
$156$	1.56072			0.124958
$157$	−4.60821	+	2.34800i	−0.367776	+	0.187391i	−0.628105	−	0.778129i	$-0.716169\pi$
$157$	−4.60821	+	2.34800i	−0.367776	+	0.187391i	0.260329	+	0.965520i	$0.416169\pi$
$158$	−0.509635	+	1.00022i	−0.0405444	+	0.0795728i
$159$	−6.88854	+	9.48126i	−0.546297	+	0.751913i
$160$	−5.42977	−	10.3887i	−0.429261	−	0.821297i
$161$			21.3614i			1.68351i
$162$	−0.150580	−	0.950724i	−0.0118307	−	0.0746959i
$163$	1.70556	−	10.7685i	0.133590	−	0.843453i	−0.826331	−	0.563184i	$-0.809576\pi$
$163$	1.70556	−	10.7685i	0.133590	−	0.843453i	0.959921	−	0.280269i	$-0.0904238\pi$
$164$	1.02738	+	1.41407i	0.0802248	+	0.110420i
$165$	1.16412	+	6.88682i	0.0906268	+	0.536139i
$166$	4.84389	−	6.66705i	0.375959	−	0.517463i
$167$	7.79279	+	15.2942i	0.603024	+	1.18350i	0.967638	+	0.252343i	$0.0812010\pi$
$167$	7.79279	+	15.2942i	0.603024	+	1.18350i	−0.364614	+	0.931159i	$0.618799\pi$
$168$	3.15134	−	6.18484i	0.243131	−	0.477171i
$169$	6.39868	+	8.80703i	0.492206	+	0.677464i
$170$	0.00209858	+	0.202291i	0.000160954	+	0.0155150i
$171$	−0.724315	−	2.22921i	−0.0553898	−	0.170472i
$172$	0.0316057	−	0.199551i	0.00240991	−	0.0152156i
$173$	0.0774817	+	0.0394789i	0.00589083	+	0.00300153i	0.456933	−	0.889501i	$-0.348948\pi$
$173$	0.0774817	+	0.0394789i	0.00589083	+	0.00300153i	−0.451043	+	0.892502i	$0.648948\pi$
$174$	6.23352	+	2.02539i	0.472562	+	0.153545i
$175$	−5.10803	+	10.5612i	−0.386131	+	0.798350i
$176$	2.08188	+	0.676442i	0.156927	+	0.0509888i
$177$	2.08636	−	13.1728i	0.156820	−	0.990125i
$178$	7.13336	+	1.12981i	0.534668	+	0.0846831i
$179$	−7.09399	−	5.15409i	−0.530230	−	0.385234i	0.290214	−	0.956962i	$-0.406274\pi$
$179$	−7.09399	−	5.15409i	−0.530230	−	0.385234i	−0.820444	+	0.571727i	$0.806274\pi$
$180$	−2.29040	−	0.718015i	−0.170716	−	0.0535177i
$181$			2.12937i			0.158275i	0.996864	+	0.0791374i	$0.0252166\pi$
$181$			2.12937i			0.158275i	−0.996864	+	0.0791374i	$0.974783\pi$
$182$	−3.24328	+	0.513686i	−0.240408	+	0.0380769i
$183$	−5.96256	−	3.03808i	−0.440765	−	0.224581i
$184$	8.32310	−	25.6159i	0.613587	−	1.88843i
$185$	1.90884	−	0.997678i	0.140341	−	0.0733507i
$186$	5.33951	+	0.461125i	0.391512	+	0.0338113i
$187$	0.207595	+	0.207595i	0.0151809	+	0.0151809i
$188$	2.50234	+	4.91112i	0.182502	+	0.358181i
$189$	−0.725053	−	2.23148i	−0.0527398	−	0.162317i
$190$	4.99085	+	0.737485i	0.362074	+	0.0535028i
$191$	14.9874			1.08445			0.542226	−	0.840233i	$-0.317582\pi$
$191$	14.9874			1.08445			0.542226	+	0.840233i	$0.317582\pi$
$192$	−4.55920	+	4.55920i	−0.329032	+	0.329032i
$193$	25.0687	−	3.97049i	1.80449	−	0.285802i	0.838595	−	0.544755i	$-0.183377\pi$
$193$	25.0687	−	3.97049i	1.80449	−	0.285802i	0.965890	+	0.258953i	$0.0833773\pi$
$194$	−2.44906	−	3.37084i	−0.175832	−	0.242012i
$195$	1.03666	+	3.08138i	0.0742369	+	0.220662i
$196$	−0.495840	+	1.52604i	−0.0354172	+	0.109003i
$197$	−9.98864	+	1.58204i	−0.711661	+	0.112716i	−0.501760	−	0.865007i	$-0.667314\pi$
$197$	−9.98864	+	1.58204i	−0.711661	+	0.112716i	−0.209901	+	0.977723i	$0.567314\pi$
$198$	2.67896	−	1.36500i	0.190386	−	0.0970063i
$199$	−8.18235	−	25.1827i	−0.580031	−	1.78515i	−0.618370	−	0.785887i	$-0.712206\pi$
$199$	−8.18235	−	25.1827i	−0.580031	−	1.78515i	0.0383384	−	0.999265i	$-0.487794\pi$
$200$	10.2404	−	10.6744i	0.724103	−	0.754791i
$201$	7.11675	−	2.31237i	0.501977	−	0.163102i
$202$	−1.44322	+	2.83248i	−0.101545	+	0.199292i
$203$	15.7797	+	2.49927i	1.10752	+	0.175414i
$204$	−0.0959553	+	0.0311778i	−0.00671821	+	0.00218288i
$205$	−2.10943	+	2.96764i	−0.147329	+	0.207269i
$206$	−3.49164	−	2.53683i	−0.243274	−	0.176749i
$207$	−4.13323	−	8.11191i	−0.287279	−	0.563817i
$208$	1.00638	+	0.159394i	0.0697796	+	0.0110520i
$209$	5.92317	−	4.30344i	0.409714	−	0.297675i
$210$	4.99593	+	0.738236i	0.344752	+	0.0509431i
$211$	19.6668			1.35392			0.676958	−	0.736022i	$-0.263298\pi$
$211$	19.6668			1.35392			0.676958	+	0.736022i	$0.263298\pi$
$212$	8.89560	−	8.89560i	0.610953	−	0.610953i
$213$	1.72074	+	10.8644i	0.117903	+	0.744413i
$214$	1.74331	−	0.566435i	0.119170	−	0.0387207i
$215$	0.414972	−	0.0701453i	0.0283008	−	0.00478387i
$216$			2.95843i			0.201295i
$217$	13.0309	−	0.925869i	0.884596	−	0.0628521i
$218$	−8.92667	+	8.92667i	−0.604590	+	0.604590i
$219$	9.24634	+	3.00432i	0.624810	+	0.203013i
$220$	−0.0777758	−	7.49713i	−0.00524364	−	0.505456i
$221$	0.110556	+	0.0803235i	0.00743679	+	0.00540315i
$222$	−0.655613	−	0.655613i	−0.0440019	−	0.0440019i
$223$	−7.16985	−	7.16985i	−0.480129	−	0.480129i	0.425044	−	0.905173i	$-0.360259\pi$
$223$	−7.16985	−	7.16985i	−0.480129	−	0.480129i	−0.905173	+	0.425044i	$0.860259\pi$
$224$	−7.22979	+	9.95095i	−0.483061	+	0.664876i
$225$	−0.103730	−	4.99892i	−0.00691531	−	0.333262i
$226$	7.95559	−	5.78008i	0.529198	−	0.384485i
$227$	22.3858	−	11.4062i	1.48580	−	0.757053i	0.492250	−	0.870454i	$-0.336174\pi$
$227$	22.3858	−	11.4062i	1.48580	−	0.757053i	0.993549	+	0.113401i	$0.0361744\pi$
$228$	0.393604	+	2.48512i	0.0260671	+	0.164581i
$229$	3.83379	−	11.7992i	0.253344	−	0.779713i	−0.740807	−	0.671717i	$-0.765557\pi$
$229$	3.83379	−	11.7992i	0.253344	−	0.779713i	0.994151	−	0.107995i	$-0.0344431\pi$
$230$	19.5947	−	0.203277i	1.29204	−	0.0134037i
$231$	5.92921	−	4.30782i	0.390113	−	0.283434i
$232$	−17.9488	−	9.14535i	−1.17839	−	0.600421i
$233$	21.2924	+	10.8490i	1.39491	+	0.710743i	0.979977	−	0.199109i	$-0.0638047\pi$
$233$	21.2924	+	10.8490i	1.39491	+	0.710743i	0.414934	+	0.909852i	$0.363805\pi$
$234$	1.13223	−	0.822615i	0.0740163	−	0.0537760i
$235$	−8.03408	+	8.20252i	−0.524085	+	0.535073i
$236$	−4.42406	+	13.6159i	−0.287982	+	0.886316i
$237$	−0.182436	−	1.15186i	−0.0118505	−	0.0748211i
$238$	0.189140	−	0.0963716i	0.0122601	−	0.00624684i
$239$	−23.2516	+	16.8933i	−1.50402	+	1.09273i	−0.535275	+	0.844678i	$0.679792\pi$
$239$	−23.2516	+	16.8933i	−1.50402	+	1.09273i	−0.968745	+	0.248057i	$0.920208\pi$
$240$	−1.40355	−	0.696902i	−0.0905990	−	0.0449848i
$241$	−9.69152	+	13.3392i	−0.624286	+	0.859256i	−0.997656	−	0.0684266i	$-0.978202\pi$
$241$	−9.69152	+	13.3392i	−0.624286	+	0.859256i	0.373370	+	0.927682i	$0.378202\pi$
$242$	−0.846240	−	0.846240i	−0.0543984	−	0.0543984i
$243$	0.707107	+	0.707107i	0.0453609	+	0.0453609i
$244$	5.81154	+	4.22233i	0.372046	+	0.270307i
$245$	−3.34225	+	0.0346728i	−0.213529	+	0.00221516i
$246$	1.49063	+	0.484336i	0.0950393	+	0.0308802i
$247$	2.40976	−	2.40976i	0.153329	−	0.153329i
$248$	−15.9870	−	3.96700i	−1.01517	−	0.251905i
$249$			8.56133i			0.542553i
$250$	9.73632	+	4.58507i	0.615779	+	0.289985i
$251$	−12.3971	+	4.02807i	−0.782500	+	0.254250i	−0.672907	−	0.739727i	$-0.734955\pi$
$251$	−12.3971	+	4.02807i	−0.782500	+	0.254250i	−0.109593	+	0.993977i	$0.534955\pi$
$252$	0.394005	+	2.48765i	0.0248200	+	0.156707i
$253$	20.1085	−	20.1085i	1.26421	−	1.26421i
$254$	15.3616			0.963874
$255$	−0.125291	−	0.168738i	−0.00784600	−	0.0105668i
$256$	13.7642	−	10.0002i	0.860260	−	0.625015i
$257$	18.4633	+	2.92430i	1.15171	+	0.182413i	0.702950	−	0.711239i	$-0.251866\pi$
$257$	18.4633	+	2.92430i	1.15171	+	0.182413i	0.448760	+	0.893652i	$0.351866\pi$
$258$	−0.0822493	−	0.161423i	−0.00512062	−	0.0100498i
$259$	−1.82841	−	1.32842i	−0.113612	−	0.0825438i
$260$	−0.581665	−	3.44106i	−0.0360733	−	0.213406i
$261$	−6.47589	+	2.10414i	−0.400847	+	0.130243i
$262$	12.7794	+	2.02406i	0.789515	+	0.125047i
$263$	−3.51211	+	6.89291i	−0.216566	+	0.425035i	−0.973574	−	0.228370i	$-0.926660\pi$
$263$	−3.51211	+	6.89291i	−0.216566	+	0.425035i	0.757008	+	0.653405i	$0.226660\pi$
$264$	−8.78858	+	2.85558i	−0.540899	+	0.175749i
$265$	23.4715	+	11.6542i	1.44184	+	0.715913i
$266$	−1.63587	−	5.03470i	−0.100302	−	0.308697i
$267$	−6.68530	+	3.40633i	−0.409134	+	0.208464i
$268$	−7.93373	+	1.25658i	−0.484630	+	0.0767578i
$269$	−1.59283	+	4.90223i	−0.0971167	+	0.298894i	−0.987800	−	0.155731i	$-0.950227\pi$
$269$	−1.59283	+	4.90223i	−0.0971167	+	0.298894i	0.890683	+	0.454625i	$0.150227\pi$
$270$	−2.04003	+	0.686322i	−0.124152	+	0.0417682i
$271$	3.03733	+	4.18053i	0.184505	+	0.253949i	0.891243	−	0.453526i	$-0.149834\pi$
$271$	3.03733	+	4.18053i	0.184505	+	0.253949i	−0.706738	+	0.707475i	$0.749834\pi$
$272$	−0.0650575	+	0.0103041i	−0.00394469	+	0.000624778i
$273$	2.41221	−	2.41221i	0.145994	−	0.145994i
$274$	−9.26978			−0.560008
$275$	14.7501	−	5.13330i	0.889467	−	0.309549i
$276$	3.02000	+	9.29460i	0.181783	+	0.559469i
$277$	6.84763	+	13.4392i	0.411434	+	0.807486i	1.00000		0.000964293i	$-0.000306944\pi$
$277$	6.84763	+	13.4392i	0.411434	+	0.807486i	−0.588565	+	0.808450i	$0.700307\pi$
$278$	−4.86171	−	4.86171i	−0.291586	−	0.291586i
$279$	−4.76929	+	2.87295i	−0.285530	+	0.171999i
$280$	−14.8108	−	4.64301i	−0.885112	−	0.277473i
$281$	−6.47696	+	19.9340i	−0.386383	+	1.18916i	0.549089	+	0.835764i	$0.314975\pi$
$281$	−6.47696	+	19.9340i	−0.386383	+	1.18916i	−0.935472	+	0.353400i	$0.885025\pi$
$282$	4.40386	+	2.24388i	0.262246	+	0.133621i
$283$	−10.3705	+	1.64253i	−0.616464	+	0.0976382i	−0.456854	−	0.889542i	$-0.651024\pi$
$283$	−10.3705	+	1.64253i	−0.616464	+	0.0976382i	−0.159610	+	0.987180i	$0.551024\pi$
$284$		−	11.8077i		−	0.700659i
$285$	−4.64500	+	2.42777i	−0.275146	+	0.143809i
$286$	3.53661	+	2.56950i	0.209124	+	0.151938i
$287$	3.77344	+	0.597654i	0.222739	+	0.0352784i
$288$	0.820072	−	5.17773i	0.0483232	−	0.305101i
$289$	16.1596	+	5.25056i	0.950562	+	0.308856i
$290$	2.14240	−	14.4985i	0.125806	−	0.851379i
$291$	4.11673	+	1.33761i	0.241327	+	0.0784119i
$292$	−9.29879	−	4.73797i	−0.544171	−	0.277269i
$293$	0.479961	−	3.03035i	0.0280396	−	0.177035i	−0.969694	−	0.244322i	$-0.921434\pi$
$293$	0.479961	−	3.03035i	0.0280396	−	0.177035i	0.997734	+	0.0672874i	$0.0214345\pi$
$294$	0.444626	+	1.36842i	0.0259311	+	0.0798077i
$295$	−29.8207	+	0.309363i	−1.73623	+	0.0180118i
$296$	1.67497	+	2.30540i	0.0973558	+	0.133999i
$297$	−1.41807	+	2.78312i	−0.0822849	+	0.161493i
$298$	4.99062	+	9.79464i	0.289099	+	0.567388i
$299$	7.78045	−	10.7089i	0.449955	−	0.619310i
$300$	−0.729465	+	5.31745i	−0.0421157	+	0.307003i
$301$	−0.259572	−	0.357270i	−0.0149615	−	0.0205927i
$302$	−0.534452	+	3.37440i	−0.0307543	+	0.194175i
$303$	−0.516635	−	3.26190i	−0.0296799	−	0.187391i
$304$			1.64264i			0.0942118i
$305$	−4.47614	+	14.2785i	−0.256303	+	0.817582i
$306$	−0.0531782	+	0.0731935i	−0.00304000	+	0.00418420i
$307$	8.51008	−	16.7020i	0.485696	−	0.953232i	−0.509967	−	0.860194i	$-0.670342\pi$
$307$	8.51008	−	16.7020i	0.485696	−	0.953232i	0.995663	−	0.0930378i	$-0.0296577\pi$
$308$	−7.00974	+	3.57164i	−0.399417	+	0.203513i
$309$	4.48371			0.255070
$310$	−0.973297	−	11.9444i	−0.0552796	−	0.678394i
$311$	−30.1795			−1.71133			−0.855663	−	0.517534i	$-0.826850\pi$
$311$	−30.1795			−1.71133			−0.855663	+	0.517534i	$0.826850\pi$
$312$	−3.83252	+	1.95277i	−0.216974	+	0.110554i
$313$	13.5900	−	26.6718i	0.768150	−	1.50758i	−0.0909978	−	0.995851i	$-0.529006\pi$
$313$	13.5900	−	26.6718i	0.768150	−	1.50758i	0.859148	−	0.511728i	$-0.170994\pi$
$314$	2.92621	−	4.02758i	0.165135	−	0.227289i
$315$	−4.64973	+	2.43024i	−0.261983	+	0.136929i
$316$			1.25187i			0.0704233i
$317$	4.19855	+	26.5086i	0.235814	+	1.48887i	0.767017	+	0.641627i	$0.221740\pi$
$317$	4.19855	+	26.5086i	0.235814	+	1.48887i	−0.531203	+	0.847245i	$0.678260\pi$
$318$	1.76472	−	11.1420i	0.0989605	−	0.624812i
$319$	−12.5015	−	17.2069i	−0.699951	−	0.963400i
$320$	11.7513	+	8.35292i	0.656915	+	0.466943i
$321$	−1.11931	+	1.54060i	−0.0624741	+	0.0859882i
$322$	−9.33492	−	18.3208i	−0.520215	−	1.02098i
$323$	−0.100017	+	0.196294i	−0.00556508	+	0.0109221i
$324$	−0.630958	−	0.868439i	−0.0350532	−	0.0482466i
$325$	6.40744	−	3.43402i	0.355421	−	0.190485i
$326$	3.24304	+	9.98104i	0.179615	+	0.552799i
$327$	2.05165	−	12.9536i	0.113456	−	0.716335i
$328$	−4.29212	−	2.18694i	−0.236993	−	0.120754i
$329$	11.4581	+	3.72296i	0.631704	+	0.205253i
$330$	−4.00796	−	5.39783i	−0.220631	−	0.297141i
$331$	−14.6390	−	4.75649i	−0.804631	−	0.261441i	−0.122309	−	0.992492i	$-0.539030\pi$
$331$	−14.6390	−	4.75649i	−0.804631	−	0.261441i	−0.682322	+	0.731051i	$0.739030\pi$
$332$	1.43766	−	9.07702i	0.0789018	−	0.498166i
$333$	0.951367	+	0.150682i	0.0521346	+	0.00825731i
$334$	−13.3671	−	9.71179i	−0.731417	−	0.531405i
$335$	−7.75064	−	14.8292i	−0.423463	−	0.810203i
$336$			1.64431i			0.0897046i
$337$	−34.4422	+	5.45511i	−1.87619	+	0.297159i	−0.987041	−	0.160467i	$-0.948700\pi$
$337$	−34.4422	+	5.45511i	−1.87619	+	0.297159i	−0.889145	+	0.457626i	$0.848700\pi$
$338$	−9.33656	−	4.75722i	−0.507842	−	0.258759i
$339$	−3.15691	+	9.71598i	−0.171460	+	0.527700i
$340$	0.104502	+	0.199942i	0.00566741	+	0.0108434i
$341$	−13.1382	−	11.3950i	−0.711471	−	0.617075i
$342$	1.59538	+	1.59538i	0.0862684	+	0.0862684i
$343$	9.04870	+	17.7591i	0.488584	+	0.958900i
$344$	0.172066	+	0.529563i	0.00927716	+	0.0285521i
$345$	−16.3447	+	12.1361i	−0.879967	+	0.653387i
$346$	−0.0837053			−0.00450002
$347$	7.92798	−	7.92798i	0.425596	−	0.425596i	−0.461529	−	0.887125i	$-0.652699\pi$
$347$	7.92798	−	7.92798i	0.425596	−	0.425596i	0.887125	+	0.461529i	$0.152699\pi$
$348$	7.21929	−	1.14342i	0.386995	−	0.0612939i
$349$	3.10856	+	4.27856i	0.166397	+	0.229026i	0.884070	−	0.467354i	$-0.154793\pi$
$349$	3.10856	+	4.27856i	0.166397	+	0.229026i	−0.717673	+	0.696380i	$0.754793\pi$
$350$	−0.234274	−	11.2901i	−0.0125225	−	0.603482i
$351$	−0.449289	+	1.38277i	−0.0239813	+	0.0738068i
$352$	16.1730	−	2.56156i	0.862025	−	0.136531i
$353$	−3.47762	+	1.77194i	−0.185095	+	0.0943108i	−0.544083	−	0.839032i	$-0.683122\pi$
$353$	−3.47762	+	1.77194i	−0.185095	+	0.0943108i	0.358987	+	0.933342i	$0.383122\pi$
$354$	3.96710	+	12.2095i	0.210849	+	0.648927i
$355$	23.3123	−	7.84291i	1.23729	−	0.416259i
$356$	7.65999	−	2.48888i	0.405979	−	0.131910i
$357$	−0.100119	+	0.196494i	−0.00529884	+	0.0103996i
$358$	8.33657	+	1.32038i	0.440601	+	0.0697844i
$359$	−11.0299	+	3.58384i	−0.582138	+	0.189148i	−0.585258	−	0.810847i	$-0.699007\pi$
$359$	−11.0299	+	3.58384i	−0.582138	+	0.189148i	0.00312039	+	0.999995i	$0.499007\pi$
$360$	6.52271	−	1.10257i	0.343777	−	0.0581108i
$361$	−10.9266	−	7.93861i	−0.575082	−	0.417822i
$362$	−0.930534	−	1.82628i	−0.0489078	−	0.0959870i
$363$	1.22799	+	0.194494i	0.0644527	+	0.0102083i
$364$	−2.96258	+	2.15244i	−0.155281	+	0.112819i
$365$	3.17788	−	21.5059i	0.166338	−	1.12567i
$366$	6.44149			0.336702
$367$	−15.1562	+	15.1562i	−0.791147	+	0.791147i	−0.981681	−	0.190534i	$-0.938978\pi$
$367$	−15.1562	+	15.1562i	−0.791147	+	0.791147i	0.190534	+	0.981681i	$0.438978\pi$
$368$	0.998095	+	6.30172i	0.0520293	+	0.328500i
$369$	−1.54859	+	0.503168i	−0.0806164	+	0.0261939i
$370$	−1.20115	+	1.68983i	−0.0624448	+	0.0878501i
$371$		−	27.4977i		−	1.42761i
$372$	5.53901	−	2.24512i	0.287184	−	0.116404i
$373$	1.29450	−	1.29450i	0.0670265	−	0.0670265i	−0.672799	−	0.739825i	$-0.734908\pi$
$373$	1.29450	−	1.29450i	0.0670265	−	0.0670265i	0.739825	+	0.672799i	$0.234908\pi$
$374$	−0.268765	−	0.0873271i	−0.0138975	−	0.00451558i
$375$	−10.9829	+	2.09175i	−0.567156	+	0.108017i
$376$	−12.2896	−	8.92889i	−0.633786	−	0.460472i
$377$	−7.00038	−	7.00038i	−0.360538	−	0.360538i
$378$	1.59701	+	1.59701i	0.0821412	+	0.0821412i
$379$	−22.0027	+	30.2841i	−1.13020	+	1.55559i	−0.342512	+	0.939513i	$0.611278\pi$
$379$	−22.0027	+	30.2841i	−1.13020	+	1.55559i	−0.787688	+	0.616074i	$0.788722\pi$
$380$	5.33247	−	1.79399i	0.273550	−	0.0920299i
$381$	−12.9110	+	9.38040i	−0.661451	+	0.480573i
$382$	−12.8541	+	6.54950i	−0.657674	+	0.335102i
$383$	−5.28483	−	33.3671i	−0.270042	−	1.70498i	−0.633809	−	0.773490i	$-0.718509\pi$
$383$	−5.28483	−	33.3671i	−0.270042	−	1.70498i	0.363766	−	0.931490i	$-0.381491\pi$
$384$	−1.32203	+	4.06878i	−0.0674644	+	0.207634i
$385$	−11.7076	−	11.4672i	−0.596674	−	0.584422i
$386$	−19.7653	+	14.3604i	−1.00603	+	0.730923i
$387$	0.167700	+	0.0854472i	0.00852465	+	0.00434353i
$388$	−4.14008	−	2.10948i	−0.210181	−	0.107092i
$389$	−5.23184	+	3.80115i	−0.265265	+	0.192726i	−0.712465	−	0.701708i	$-0.752421\pi$
$389$	−5.23184	+	3.80115i	−0.265265	+	0.192726i	0.447200	+	0.894434i	$0.352421\pi$
$390$	−2.23566	−	2.18976i	−0.113207	−	0.110883i
$391$	−0.264427	+	0.813822i	−0.0133726	+	0.0411567i
$392$	−0.691784	−	4.36775i	−0.0349404	−	0.220605i
$393$	−11.9767	+	6.10244i	−0.604145	+	0.307827i
$394$	7.87550	−	5.72189i	0.396762	−	0.288265i
$395$	−2.47161	+	0.831518i	−0.124360	+	0.0418382i
$396$	1.97084	−	2.71263i	0.0990386	−	0.136315i
$397$	−6.79785	−	6.79785i	−0.341174	−	0.341174i	0.515635	−	0.856809i	$-0.327556\pi$
$397$	−6.79785	−	6.79785i	−0.341174	−	0.341174i	−0.856809	+	0.515635i	$0.827556\pi$
$398$	18.0225	+	18.0225i	0.903386	+	0.903386i
$399$	4.44928	+	3.23259i	0.222743	+	0.161832i
$400$	−1.01343	+	3.35427i	−0.0506717	+	0.167713i
$401$	0.212516	+	0.0690507i	0.0106125	+	0.00344823i	0.314318	−	0.949318i	$-0.398224\pi$
$401$	0.212516	+	0.0690507i	0.0106125	+	0.00344823i	−0.303706	+	0.952766i	$0.598224\pi$
$402$	−5.09325	+	5.09325i	−0.254028	+	0.254028i
$403$	−6.86986	−	4.28208i	−0.342212	−	0.213306i
$404$			3.54514i			0.176377i
$405$	1.29549	−	1.82255i	0.0643735	−	0.0905634i
$406$	−14.6258	+	4.75222i	−0.725868	+	0.235849i
$407$	0.470666	+	2.97167i	0.0233300	+	0.147300i
$408$	0.196619	−	0.196619i	0.00973411	−	0.00973411i
$409$	10.6058			0.524423			0.262212	−	0.965010i	$-0.415548\pi$
$409$	10.6058			0.524423			0.262212	+	0.965010i	$0.415548\pi$
$410$	0.512316	−	3.46704i	0.0253015	−	0.171225i
$411$	7.79099	−	5.66049i	0.384301	−	0.279211i
$412$	−4.75379	−	0.752926i	−0.234202	−	0.0370940i
$413$	14.2066	+	27.8821i	0.699062	+	1.37199i
$414$	7.08981	+	5.15105i	0.348445	+	0.253160i
$415$	18.8760	−	3.19072i	0.926584	−	0.156626i
$416$	7.24886	−	2.35530i	0.355404	−	0.115478i
$417$	7.05489	+	1.11738i	0.345479	+	0.0547185i
$418$	−3.19947	+	6.27931i	−0.156491	+	0.307131i
$419$	1.83723	−	0.596953i	0.0897547	−	0.0291631i	−0.263795	−	0.964579i	$-0.584974\pi$
$419$	1.83723	−	0.596953i	0.0897547	−	0.0291631i	0.353550	+	0.935416i	$0.384974\pi$
$420$	5.33790	−	1.79582i	0.260463	−	0.0876270i
$421$	4.11006	+	12.6495i	0.200312	+	0.616497i	0.999873	+	0.0159125i	$0.00506530\pi$
$421$	4.11006	+	12.6495i	0.200312	+	0.616497i	−0.799561	+	0.600584i	$0.794935\pi$
$422$	−16.8674	+	8.59437i	−0.821092	+	0.418367i
$423$	−5.07152	+	0.803250i	−0.246586	+	0.0390553i
$424$	−10.7140	+	32.9743i	−0.520318	+	1.60137i
$425$	−0.325339	+	0.339126i	−0.0157812	+	0.0164501i
$426$	−6.22353	−	8.56596i	−0.301531	−	0.415022i
$427$	15.5081	−	2.45624i	0.750490	−	0.118866i
$428$	1.44544	−	1.44544i	0.0698680	−	0.0698680i
$429$	−4.54146			−0.219264
$430$	−0.325251	+	0.241503i	−0.0156850	+	0.0116463i
$431$	−10.0867	−	31.0436i	−0.485858	−	1.49532i	−0.830735	−	0.556669i	$-0.812079\pi$
$431$	−10.0867	−	31.0436i	−0.485858	−	1.49532i	0.344877	−	0.938648i	$-0.387921\pi$
$432$	−0.318159	−	0.624421i	−0.0153074	−	0.0300425i
$433$	−4.48470	−	4.48470i	−0.215521	−	0.215521i	0.591087	−	0.806608i	$-0.298699\pi$
$433$	−4.48470	−	4.48470i	−0.215521	−	0.215521i	−0.806608	+	0.591087i	$0.798699\pi$
$434$	−10.7715	+	6.48858i	−0.517048	+	0.311462i
$435$	7.05269	+	13.4938i	0.338151	+	0.646977i
$436$	−4.35045	+	13.3893i	−0.208349	+	0.641232i
$437$	19.0138	+	9.68801i	0.909552	+	0.463440i
$438$	−9.24311	+	1.46396i	−0.441653	+	0.0699509i
$439$			12.2813i			0.586153i	0.956089	+	0.293076i	$0.0946790\pi$
$439$			12.2813i			0.586153i	−0.956089	+	0.293076i	$0.905321\pi$
$440$	9.57137	+	18.3127i	0.456297	+	0.873025i
$441$	−1.20930	−	0.878610i	−0.0575859	−	0.0418386i
$442$	−0.129921	−	0.0205774i	−0.00617970	−	0.000978768i
$443$	−6.05432	+	38.2255i	−0.287649	+	1.81615i	0.244674	+	0.969605i	$0.421319\pi$
$443$	−6.05432	+	38.2255i	−0.287649	+	1.81615i	−0.532324	+	0.846541i	$0.678681\pi$
$444$	−0.983369	−	0.319516i	−0.0466686	−	0.0151636i
$445$	10.0018	+	13.4702i	0.474130	+	0.638548i
$446$	9.28252	+	3.01607i	0.439540	+	0.142815i
$447$	−10.1755	−	5.18466i	−0.481283	−	0.245226i
$448$	2.36659	−	14.9421i	0.111811	−	0.705947i
$449$	6.52061	+	20.0684i	0.307727	+	0.947086i	0.978646	+	0.205555i	$0.0658999\pi$
$449$	6.52061	+	20.0684i	0.307727	+	0.947086i	−0.670919	+	0.741531i	$0.734100\pi$
$450$	2.27349	+	4.24205i	0.107173	+	0.199972i
$451$	−2.98951	−	4.11471i	−0.140771	−	0.193754i
$452$	4.97862	−	9.77110i	0.234175	−	0.459594i
$453$	−1.61135	−	3.16245i	−0.0757077	−	0.148585i
$454$	−14.2150	+	19.5652i	−0.667141	+	0.918240i
$455$	−6.21743	−	4.41942i	−0.291478	−	0.207186i
$456$	−4.07591	−	5.61001i	−0.190872	−	0.262713i
$457$	−1.17816	+	7.43860i	−0.0551120	+	0.347963i	0.944688	+	0.327970i	$0.106364\pi$
$457$	−1.17816	+	7.43860i	−0.0551120	+	0.347963i	−0.999800	+	0.0199933i	$0.993636\pi$
$458$	1.86815	+	11.7951i	0.0872931	+	0.551147i
$459$		−	0.0939898i		−	0.00438707i
$460$	19.3671	−	10.1225i	0.902997	−	0.471962i
$461$	4.13847	−	5.69612i	0.192748	−	0.265295i	−0.701694	−	0.712478i	$-0.747573\pi$
$461$	4.13847	−	5.69612i	0.192748	−	0.265295i	0.894442	+	0.447183i	$0.147573\pi$
$462$	−3.20273	+	6.28571i	−0.149004	+	0.292438i
$463$	11.0032	−	5.60642i	0.511363	−	0.260552i	−0.179216	−	0.983810i	$-0.557356\pi$
$463$	11.0032	−	5.60642i	0.511363	−	0.260552i	0.690578	+	0.723257i	$0.257356\pi$
$464$	4.77188			0.221529
$465$	8.11172	+	9.44457i	0.376172	+	0.437982i
$466$	−23.0027			−1.06558
$467$	−12.3761	+	6.30595i	−0.572699	+	0.291805i	−0.716256	−	0.697837i	$-0.754146\pi$
$467$	−12.3761	+	6.30595i	−0.572699	+	0.291805i	0.143557	+	0.989642i	$0.454146\pi$
$468$	0.708553	−	1.39061i	0.0327529	−	0.0642811i
$469$	−10.3200	+	14.2043i	−0.476535	+	0.655894i
$470$	3.30601	−	10.5459i	0.152495	−	0.486444i
$471$			5.17192i			0.238309i
$472$	−6.17234	−	38.9706i	−0.284105	−	1.79377i
$473$	−0.0919677	+	0.580661i	−0.00422868	+	0.0266988i
$474$	0.659829	+	0.908176i	0.0303069	+	0.0417139i
$475$	7.08386	+	9.33646i	0.325030	+	0.428386i
$476$	0.139145	−	0.191517i	0.00637771	−	0.00877817i
$477$	5.32054	+	10.4421i	0.243611	+	0.478113i
$478$	12.5596	−	24.6496i	0.574463	−	1.12745i
$479$	−11.5351	−	15.8766i	−0.527050	−	0.725422i	0.459627	−	0.888112i	$-0.347983\pi$
$479$	−11.5351	−	15.8766i	−0.527050	−	0.725422i	−0.986677	+	0.162690i	$0.947983\pi$
$480$	−11.7214	+	0.121599i	−0.535009	+	0.00555022i
$481$	0.432767	+	1.33192i	0.0197325	+	0.0607303i
$482$	2.48279	−	15.6757i	0.113088	−	0.714010i
$483$	19.0331	+	9.69787i	0.866038	+	0.441268i
$484$	−1.26929	−	0.412419i	−0.0576952	−	0.0187463i
$485$	1.41488	−	9.57504i	0.0642464	−	0.434780i
$486$	−0.915463	−	0.297452i	−0.0415262	−	0.0134927i
$487$	−3.73851	+	23.6040i	−0.169408	+	1.06960i	0.745668	+	0.666318i	$0.232130\pi$
$487$	−3.73851	+	23.6040i	−0.169408	+	1.06960i	−0.915076	+	0.403282i	$0.867870\pi$
$488$	−19.5538	−	3.09703i	−0.885161	−	0.140196i
$489$	−8.82049	−	6.40846i	−0.398876	−	0.289801i
$490$	2.85137	−	1.49030i	0.128812	−	0.0673249i
$491$		−	18.8457i		−	0.850496i	−0.905077	−	0.425248i	$-0.860187\pi$
$491$		−	18.8457i		−	0.850496i	0.905077	−	0.425248i	$-0.139813\pi$
$492$	1.72636	−	0.273429i	0.0778304	−	0.0123271i
$493$	0.570236	+	0.290550i	0.0256821	+	0.0130857i
$494$	−1.01369	+	3.11982i	−0.0456081	+	0.140367i
$495$	6.66471	+	2.08931i	0.299556	+	0.0939076i
$496$	3.80092	−	0.881995i	0.170667	−	0.0396027i
$497$	−18.2497	−	18.2497i	−0.818612	−	0.818612i
$498$	−3.74130	−	7.34272i	−0.167652	−	0.329035i
$499$	10.7823	+	33.1846i	0.482684	+	1.48555i	0.835307	+	0.549783i	$0.185290\pi$
$499$	10.7823	+	33.1846i	0.482684	+	1.48555i	−0.352623	+	0.935765i	$0.614710\pi$
$500$	11.9957	−	0.373441i	0.536465	−	0.0167008i
$501$	17.1651			0.766880
$502$	8.87226	−	8.87226i	0.395988	−	0.395988i
$503$	11.7999	−	1.86891i	0.526130	−	0.0833308i	0.112281	−	0.993676i	$-0.464184\pi$
$503$	11.7999	−	1.86891i	0.526130	−	0.0833308i	0.413849	+	0.910346i	$0.364184\pi$
$504$	−4.08006	−	5.61572i	−0.181740	−	0.250144i
$505$	−6.99927	+	2.35475i	−0.311463	+	0.104785i
$506$	−8.45884	+	26.0336i	−0.376041	+	1.15734i
$507$	10.7521	−	1.70296i	0.477516	−	0.0756311i
$508$	15.2639	−	7.77735i	0.677226	−	0.345064i
$509$	10.7531	+	33.0947i	0.476624	+	1.46690i	0.843755	+	0.536728i	$0.180340\pi$
$509$	10.7531	+	33.0947i	0.476624	+	1.46690i	−0.367131	+	0.930169i	$0.619660\pi$
$510$	0.181195	+	0.0899684i	0.00802347	+	0.00398387i
$511$	−21.6949	+	7.04910i	−0.959725	+	0.311834i
$512$	−3.55037	+	6.96800i	−0.156906	+	0.307945i
$513$	−2.31508	−	0.366672i	−0.102213	−	0.0161890i
$514$	−17.1132	+	5.56041i	−0.754830	+	0.245259i
$515$	−1.67103	−	9.88565i	−0.0736345	−	0.435614i
$516$	−0.163452	−	0.118755i	−0.00719558	−	0.00522789i
$517$	−7.28143	−	14.2906i	−0.320237	−	0.628500i
$518$	2.14867	+	0.340316i	0.0944072	+	0.0149526i
$519$	0.0703519	−	0.0511137i	0.00308811	−	0.00224364i
$520$	5.73379	+	7.72214i	0.251443	+	0.338638i
$521$	−31.4028			−1.37578			−0.687892	−	0.725813i	$-0.741464\pi$
$521$	−31.4028			−1.37578			−0.687892	+	0.725813i	$0.741464\pi$
$522$	4.63460	−	4.63460i	0.202851	−	0.202851i
$523$	−6.55739	−	41.4017i	−0.286735	−	1.81037i	−0.538547	−	0.842596i	$-0.681026\pi$
$523$	−6.55739	−	41.4017i	−0.286735	−	1.81037i	0.251812	−	0.967776i	$-0.418974\pi$
$524$	13.7229	−	4.45883i	0.599486	−	0.194785i
$525$	7.09108	+	9.34597i	0.309480	+	0.407891i
$526$		−	7.44657i		−	0.324686i
$527$	0.507910	+	0.126032i	0.0221249	+	0.00549006i
$528$	1.54787	−	1.54787i	0.0673622	−	0.0673622i
$529$	56.9556	+	18.5060i	2.47633	+	0.804609i
$530$	−25.2235	+	0.261670i	−1.09564	+	0.0113662i
$531$	−10.7898	−	7.83926i	−0.468238	−	0.340195i
$532$	−4.17445	−	4.17445i	−0.180985	−	0.180985i
$533$	−1.67401	−	1.67401i	−0.0725095	−	0.0725095i
$534$	4.24515	−	5.84295i	0.183706	−	0.252849i
$535$	3.81387	+	1.89369i	0.164888	+	0.0818713i
$536$	17.9099	−	13.0123i	0.773591	−	0.562047i
$537$	−7.81293	+	3.98089i	−0.337153	+	0.171788i
$538$	−0.776166	−	4.90052i	−0.0334629	−	0.211276i
$539$	1.44282	−	4.44054i	0.0621466	−	0.191268i
$540$	−1.67958	+	1.71479i	−0.0722774	+	0.0737928i
$541$	24.0592	−	17.4800i	1.03438	−	0.751524i	0.0652031	−	0.997872i	$-0.479230\pi$
$541$	24.0592	−	17.4800i	1.03438	−	0.751524i	0.969182	+	0.246348i	$0.0792305\pi$
$542$	−4.43189	−	2.25816i	−0.190366	−	0.0969963i
$543$	1.89728	+	0.966714i	0.0814202	+	0.0414857i
$544$	−0.398619	+	0.289614i	−0.0170906	+	0.0124171i
$545$	−29.3246	+	0.304215i	−1.25613	+	0.0130312i
$546$	−1.01472	+	3.12300i	−0.0434261	+	0.133652i
$547$	−1.03613	−	6.54190i	−0.0443019	−	0.279711i	0.955586	−	0.294714i	$-0.0952243\pi$
$547$	−1.03613	−	6.54190i	−0.0443019	−	0.279711i	−0.999887	+	0.0150026i	$0.995224\pi$
$548$	−9.21081	+	4.69314i	−0.393466	+	0.200481i
$549$	−5.41389	+	3.93342i	−0.231059	+	0.167874i
$550$	−10.4074	+	10.8484i	−0.443772	+	0.462579i
$551$	9.38116	−	12.9121i	0.399651	−	0.550072i
$552$	−19.0453	−	19.0453i	−0.810622	−	0.810622i
$553$	1.93486	+	1.93486i	0.0822788	+	0.0822788i
$554$	−11.7459	−	8.53389i	−0.499035	−	0.362570i
$555$	−0.0223429	−	2.15372i	−0.000948403	−	0.0914205i
$556$	−7.29219	−	2.36938i	−0.309258	−	0.100484i
$557$	−23.8869	+	23.8869i	−1.01212	+	1.01212i	−0.0121942	+	0.999926i	$0.503882\pi$
$557$	−23.8869	+	23.8869i	−1.01212	+	1.01212i	−0.999926	+	0.0121942i	$0.996118\pi$
$558$	2.83495	−	4.54820i	0.120013	−	0.192540i
$559$			0.273649i			0.0115741i
$560$	3.62536	−	0.612818i	0.153200	−	0.0258963i
$561$	0.279215	−	0.0907224i	0.0117885	−	0.00383030i
$562$	−3.15613	−	19.9270i	−0.133133	−	0.840572i
$563$	24.1676	−	24.1676i	1.01854	−	1.01854i	0.0187179	−	0.999825i	$-0.494042\pi$
$563$	24.1676	−	24.1676i	1.01854	−	1.01854i	0.999825	−	0.0187179i	$-0.00595844\pi$
$564$	5.51188			0.232092
$565$	22.5983	+	3.33929i	0.950716	+	0.140485i
$566$	8.17660	−	5.94065i	0.343688	−	0.249704i
$567$	−2.31743	−	0.367045i	−0.0973230	−	0.0154145i
$568$	14.7738	+	28.9952i	0.619894	+	1.21661i
$569$	−17.6622	−	12.8323i	−0.740438	−	0.537960i	0.152410	−	0.988317i	$-0.451296\pi$
$569$	−17.6622	−	12.8323i	−0.740438	−	0.537960i	−0.892848	+	0.450358i	$0.851296\pi$
$570$	2.92290	−	4.11207i	0.122427	−	0.172235i
$571$	11.5032	−	3.73762i	0.481395	−	0.156415i	−0.0582594	−	0.998301i	$-0.518555\pi$
$571$	11.5032	−	3.73762i	0.481395	−	0.156415i	0.539654	+	0.841887i	$0.318555\pi$
$572$	4.81501	+	0.762622i	0.201326	+	0.0318868i
$573$	6.80415	−	13.3539i	0.284247	−	0.557867i
$574$	−3.49750	+	1.13641i	−0.145983	+	0.0474328i
$575$	32.8491	+	31.5135i	1.36990	+	1.31421i
$576$	1.99245	+	6.13212i	0.0830186	+	0.255505i
$577$	−12.5739	+	6.40670i	−0.523457	+	0.266715i	−0.695691	−	0.718342i	$-0.744902\pi$
$577$	−12.5739	+	6.40670i	−0.523457	+	0.266715i	0.172234	+	0.985056i	$0.444902\pi$
$578$	−16.1539	+	2.55853i	−0.671914	+	0.106421i
$579$	7.84322	−	24.1390i	0.325953	−	1.00318i
$580$	−5.21157	−	15.4909i	−0.216398	−	0.643224i
$581$	−11.8072	−	16.2512i	−0.489846	−	0.674215i
$582$	−4.11529	+	0.651798i	−0.170584	+	0.0270179i
$583$	−25.8848	+	25.8848i	−1.07204	+	1.07204i
$584$	28.7623			1.19019
$585$	3.21616	+	0.475245i	0.132972	+	0.0196489i
$586$	0.912620	+	2.80876i	0.0377000	+	0.116029i
$587$	13.0816	+	25.6740i	0.539934	+	1.05968i	0.986320	+	0.164839i	$0.0527106\pi$
$587$	13.0816	+	25.6740i	0.539934	+	1.05968i	−0.446387	+	0.894840i	$0.647289\pi$
$588$	1.13460	+	1.13460i	0.0467903	+	0.0467903i
$589$	5.08577	−	12.0187i	0.209556	−	0.495223i
$590$	25.4409	−	13.2970i	1.04738	−	0.547428i
$591$	−3.12513	+	9.61818i	−0.128551	+	0.395639i
$592$	−0.601459	−	0.306459i	−0.0247198	−	0.0125954i
$593$	−32.2406	+	5.10641i	−1.32396	+	0.209695i	−0.778079	−	0.628166i	$-0.783806\pi$
$593$	−32.2406	+	5.10641i	−1.32396	+	0.209695i	−0.545883	+	0.837861i	$0.683806\pi$
$594$		−	3.00667i		−	0.123365i
$595$	0.470541	+	0.147509i	0.0192903	+	0.00604729i
$596$	9.91774	+	7.20566i	0.406246	+	0.295155i
$597$	−26.1526	−	4.14217i	−1.07036	−	0.169528i
$598$	−1.99321	+	12.5846i	−0.0815084	+	0.514623i
$599$	18.2117	+	5.91735i	0.744111	+	0.241776i	0.656445	−	0.754374i	$-0.272059\pi$
$599$	18.2117	+	5.91735i	0.744111	+	0.241776i	0.0876654	+	0.996150i	$0.472059\pi$
$600$	−4.86189	−	13.9703i	−0.198486	−	0.570335i
$601$	24.1873	+	7.85894i	0.986622	+	0.320573i	0.757507	−	0.652827i	$-0.226417\pi$
$601$	24.1873	+	7.85894i	0.986622	+	0.320573i	0.229114	+	0.973400i	$0.426417\pi$
$602$	0.378751	+	0.192983i	0.0154367	+	0.00786541i
$603$	1.17060	−	7.39087i	0.0476705	−	0.300979i
$604$	1.17735	+	3.62352i	0.0479058	+	0.147439i
$605$	−0.0288393	−	2.77994i	−0.00117249	−	0.113021i
$606$	1.86855	+	2.57184i	0.0759046	+	0.104474i
$607$	−9.01202	+	17.6871i	−0.365787	+	0.717896i	−0.998398	−	0.0565724i	$-0.981983\pi$
$607$	−9.01202	+	17.6871i	−0.365787	+	0.717896i	0.632612	+	0.774469i	$0.281983\pi$
$608$	5.57843	+	10.9483i	0.226235	+	0.444011i
$609$	9.39072	−	12.9252i	0.380531	−	0.523756i
$610$	−2.40068	−	14.2021i	−0.0972005	−	0.575027i
$611$	−4.38814	−	6.03976i	−0.177525	−	0.244342i
$612$	−0.0157832	+	0.0996512i	−0.000637998	+	0.00402816i
$613$	4.69141	+	29.6204i	0.189484	+	1.19636i	0.880688	+	0.473697i	$0.157081\pi$
$613$	4.69141	+	29.6204i	0.189484	+	1.19636i	−0.691204	+	0.722660i	$0.742919\pi$
$614$			18.0435i			0.728177i
$615$	1.68652	+	3.22679i	0.0680072	+	0.130117i
$616$	12.7444	−	17.5411i	0.513485	−	0.706751i
$617$	−11.0962	+	21.7776i	−0.446717	+	0.876731i	0.552353	+	0.833610i	$0.313730\pi$
$617$	−11.0962	+	21.7776i	−0.446717	+	0.876731i	−0.999070	+	0.0431209i	$0.986270\pi$
$618$	−3.84550	+	1.95938i	−0.154689	+	0.0788179i
$619$	−32.3178			−1.29896			−0.649480	−	0.760379i	$-0.725013\pi$
$619$	−32.3178			−1.29896			−0.649480	+	0.760379i	$0.725013\pi$
$620$	−7.01435	−	11.3756i	−0.281703	−	0.456856i
$621$	−9.10421			−0.365339
$622$	25.8838	−	13.1885i	1.03785	−	0.528809i
$623$	7.99234	−	15.6858i	0.320206	−	0.628440i
$624$	0.598907	−	0.824324i	0.0239754	−	0.0329994i
$625$	8.70509	+	23.4355i	0.348204	+	0.937419i
$626$			28.8141i			1.15164i
$627$	−1.14533	−	7.23131i	−0.0457399	−	0.288791i
$628$	0.868493	−	5.48345i	0.0346566	−	0.218813i
$629$	−0.0532142	−	0.0732431i	−0.00212179	−	0.00292039i
$630$	2.92588	−	4.11625i	0.116570	−	0.163995i
$631$	14.1163	−	19.4294i	0.561961	−	0.773473i	−0.429613	−	0.903013i	$-0.641350\pi$
$631$	14.1163	−	19.4294i	0.561961	−	0.773473i	0.991574	+	0.129540i	$0.0413501\pi$
$632$	−1.56634	−	3.07411i	−0.0623056	−	0.122282i
$633$	8.92852	−	17.5232i	0.354877	−	0.696485i
$634$	−15.1852	−	20.9006i	−0.603081	−	0.830069i
$635$	25.4936	+	24.9701i	1.01168	+	0.990909i
$636$	−3.88752	−	11.9646i	−0.154150	−	0.474426i
$637$	0.339980	−	2.14655i	0.0134705	−	0.0850494i
$638$	18.2415	+	9.29449i	0.722187	+	0.367972i
$639$	10.4614	+	3.39912i	0.413847	+	0.134467i
$640$	9.46351	+	1.39840i	0.374078	+	0.0552766i
$641$	13.7527	+	4.46854i	0.543201	+	0.176497i	0.567749	−	0.823202i	$-0.307815\pi$
$641$	13.7527	+	4.46854i	0.543201	+	0.176497i	−0.0245478	+	0.999699i	$0.507815\pi$
$642$	0.286748	−	1.81046i	0.0113170	−	0.0714530i
$643$	−15.5825	−	2.46803i	−0.614515	−	0.0973296i	−0.158585	−	0.987345i	$-0.550693\pi$
$643$	−15.5825	−	2.46803i	−0.614515	−	0.0973296i	−0.455930	+	0.890016i	$0.650693\pi$
$644$	−18.5511	−	13.4781i	−0.731015	−	0.531113i
$645$	0.125893	−	0.401588i	0.00495704	−	0.0158125i
$646$		−	0.212061i		−	0.00834342i
$647$	−35.4653	+	5.61715i	−1.39429	+	0.220833i	−0.807958	−	0.589241i	$-0.799427\pi$
$647$	−35.4653	+	5.61715i	−1.39429	+	0.220833i	−0.586328	+	0.810074i	$0.699427\pi$
$648$	2.63598	+	1.34310i	0.103551	+	0.0527618i
$649$	12.8733	−	39.6200i	0.505322	−	1.55522i
$650$	−3.99474	+	5.74527i	−0.156687	+	0.225348i
$651$	5.09095	−	12.0310i	0.199530	−	0.471530i
$652$	8.27565	+	8.27565i	0.324099	+	0.324099i
$653$	−2.22052	−	4.35802i	−0.0868958	−	0.170543i	0.843469	−	0.537178i	$-0.180510\pi$
$653$	−2.22052	−	4.35802i	−0.0868958	−	0.170543i	−0.930365	+	0.366635i	$0.880510\pi$
$654$	3.90110	+	12.0063i	0.152545	+	0.469485i
$655$	17.9182	+	24.1318i	0.700122	+	0.942909i
$656$	1.14111			0.0445528
$657$	6.87462	−	6.87462i	0.268204	−	0.268204i
$658$	−11.4541	+	1.81415i	−0.446526	+	0.0707228i
$659$	−7.05504	−	9.71043i	−0.274825	−	0.378265i	0.649186	−	0.760630i	$-0.275110\pi$
$659$	−7.05504	−	9.71043i	−0.274825	−	0.378265i	−0.924011	+	0.382365i	$0.875110\pi$
$660$	−6.71530	−	3.33433i	−0.261393	−	0.129789i
$661$	−11.8382	+	36.4343i	−0.460453	+	1.41713i	0.404159	+	0.914689i	$0.367564\pi$
$661$	−11.8382	+	36.4343i	−0.460453	+	1.41713i	−0.864612	+	0.502440i	$0.832436\pi$
$662$	14.6339	−	2.31778i	0.568761	−	0.0900829i
$663$	0.121760	−	0.0620399i	0.00472877	−	0.00240943i
$664$	7.82680	+	24.0884i	0.303739	+	0.934812i
$665$	5.46899	−	11.0145i	0.212078	−	0.427124i
$666$	−0.881798	+	0.286514i	−0.0341690	+	0.0111022i
$667$	28.1438	−	55.2352i	1.08973	−	2.13872i
$668$	−18.1990	−	2.88244i	−0.704141	−	0.111525i
$669$	−9.64343	+	3.13334i	−0.372836	+	0.121142i
$670$	13.1277	+	9.33135i	0.507169	+	0.360501i
$671$	−16.9107	−	12.2863i	−0.652829	−	0.474308i
$672$	5.58411	+	10.9594i	0.215412	+	0.422769i
$673$	−36.4813	−	5.77807i	−1.40625	−	0.222728i	−0.593262	−	0.805009i	$-0.702160\pi$
$673$	−36.4813	−	5.77807i	−1.40625	−	0.222728i	−0.812988	+	0.582281i	$0.802160\pi$
$674$	27.1558	−	19.7299i	1.04600	−	0.759966i
$675$	−4.50117	−	2.17704i	−0.173250	−	0.0837943i
$676$	−11.6857			−0.449449
$677$	−3.21327	+	3.21327i	−0.123496	+	0.123496i	−0.766153	−	0.642658i	$-0.777832\pi$
$677$	−3.21327	+	3.21327i	−0.123496	+	0.123496i	0.642658	+	0.766153i	$0.277832\pi$
$678$	−1.53832	−	9.71258i	−0.0590789	−	0.373010i
$679$	−9.65916	+	3.13845i	−0.370685	+	0.120443i
$680$	−0.506782	−	0.360226i	−0.0194342	−	0.0138141i
$681$		−	25.1242i		−	0.962762i
$682$	16.2477	+	4.03169i	0.622157	+	0.154382i
$683$	6.26862	−	6.26862i	0.239862	−	0.239862i	−0.576931	−	0.816793i	$-0.695750\pi$
$683$	6.26862	−	6.26862i	0.239862	−	0.239862i	0.816793	+	0.576931i	$0.195750\pi$
$684$	2.39295	+	0.777516i	0.0914967	+	0.0297291i
$685$	−15.3838	−	15.0679i	−0.587785	−	0.575715i
$686$	−15.5214	−	11.2770i	−0.592611	−	0.430557i
$687$	−8.77265	−	8.77265i	−0.334698	−	0.334698i
$688$	−0.0932681	−	0.0932681i	−0.00355581	−	0.00355581i
$689$	−10.0155	+	13.7851i	−0.381558	+	0.525170i
$690$	8.71468	−	17.5513i	0.331762	−	0.668166i
$691$	8.04990	−	5.84859i	0.306233	−	0.222491i	−0.424046	−	0.905641i	$-0.639390\pi$
$691$	8.04990	−	5.84859i	0.306233	−	0.222491i	0.730278	+	0.683150i	$0.239390\pi$
$692$	−0.0831728	+	0.0423787i	−0.00316175	+	0.00161099i
$693$	−1.14649	−	7.23867i	−0.0435517	−	0.274974i
$694$	−3.33499	+	10.2640i	−0.126594	+	0.389618i
$695$	−0.165684	−	15.9710i	−0.00628476	−	0.605814i
$696$	−16.2971	+	11.8406i	−0.617741	+	0.448815i
$697$	0.136361	+	0.0694797i	0.00516506	+	0.00263173i
$698$	−4.53581	−	2.31111i	−0.171683	−	0.0874769i
$699$	19.3331	−	14.0463i	0.731245	−	0.531280i
$700$	−5.94879	−	11.0997i	−0.224843	−	0.419528i
$701$	−4.46650	+	13.7465i	−0.168697	+	0.519197i	−0.999290	−	0.0376839i	$-0.988002\pi$
$701$	−4.46650	+	13.7465i	−0.168697	+	0.519197i	0.830592	+	0.556881i	$0.188002\pi$
$702$	−0.218933	−	1.38229i	−0.00826308	−	0.0521710i
$703$	−2.01166	+	1.02499i	−0.0758712	+	0.0386583i
$704$	−16.2935	+	11.8379i	−0.614083	+	0.446157i
$705$	3.66110	+	10.8823i	0.137885	+	0.409850i
$706$	2.20828	−	3.03944i	0.0831099	−	0.114391i
$707$	5.47928	+	5.47928i	0.206069	+	0.206069i
$708$	10.1233	+	10.1233i	0.380458	+	0.380458i
$709$	5.47910	+	3.98080i	0.205772	+	0.149502i	0.685899	−	0.727697i	$-0.259409\pi$
$709$	5.47910	+	3.98080i	0.205772	+	0.149502i	−0.480127	+	0.877199i	$0.659409\pi$
$710$	−16.5667	+	16.9140i	−0.621737	+	0.634772i
$711$	−1.10914	−	0.360380i	−0.0415958	−	0.0135153i
$712$	−15.6959	+	15.6959i	−0.588228	+	0.588228i
$713$	12.2080	−	49.1981i	0.457193	−	1.84248i
$714$		−	0.212277i		−	0.00794426i
$715$	1.69255	+	10.0130i	0.0632979	+	0.374463i
$716$	8.95202	−	2.90869i	0.334553	−	0.108703i
$717$	4.49601	+	28.3867i	0.167907	+	1.06012i
$718$	7.89380	−	7.89380i	0.294594	−	0.294594i
$719$	0.214176			0.00798742			0.00399371	−	0.999992i	$-0.498729\pi$
$719$	0.214176			0.00798742			0.00399371	+	0.999992i	$0.498729\pi$
$720$	−1.25814	+	0.934188i	−0.0468883	+	0.0348151i
$721$	−8.51105	+	6.18364i	−0.316968	+	0.230291i
$722$	12.8405	+	2.03373i	0.477872	+	0.0756875i
$723$	7.48549	+	14.6911i	0.278388	+	0.546368i
$724$	−1.84923	−	1.34354i	−0.0687261	−	0.0499324i
$725$	27.1225	−	20.5787i	1.00730	−	0.764274i
$726$	−1.13819	+	0.369821i	−0.0422422	+	0.0137253i
$727$	−30.0525	−	4.75985i	−1.11459	−	0.176533i	−0.428139	−	0.903713i	$-0.640831\pi$
$727$	−30.0525	−	4.75985i	−1.11459	−	0.176533i	−0.686447	+	0.727180i	$0.740831\pi$
$728$	4.58182	−	8.99233i	0.169814	−	0.333278i
$729$	0.951057	−	0.309017i	0.0352243	−	0.0114451i
$730$	6.67255	+	19.8335i	0.246962	+	0.734071i
$731$	−0.00546656	−	0.0168243i	−0.000202188	−	0.000622271i
$732$	6.40051	−	3.26122i	0.236570	−	0.120538i
$733$	−45.5180	+	7.20934i	−1.68124	+	0.266283i	−0.922751	−	0.385397i	$-0.874064\pi$
$733$	−45.5180	+	7.20934i	−1.68124	+	0.266283i	−0.758494	+	0.651680i	$0.774064\pi$
$734$	6.37561	−	19.6221i	0.235328	−	0.724265i
$735$	−1.48646	+	2.99371i	−0.0548288	+	0.110425i
$736$	28.0531	+	38.6118i	1.03405	+	1.42325i
$737$	23.0859	−	3.65645i	0.850380	−	0.134687i
$738$	1.10828	−	1.10828i	0.0407964	−	0.0407964i
$739$	−18.3144			−0.673706			−0.336853	−	0.941557i	$-0.609362\pi$
$739$	−18.3144			−0.673706			−0.336853	+	0.941557i	$0.609362\pi$
$740$	−0.337975	+	2.28720i	−0.0124242	+	0.0840793i
$741$	−1.05310	−	3.24112i	−0.0386867	−	0.119065i
$742$	12.0165	+	23.5837i	0.441139	+	0.865783i
$743$	5.22560	+	5.22560i	0.191709	+	0.191709i	0.796434	−	0.604725i	$-0.206717\pi$
$743$	5.22560	+	5.22560i	0.191709	+	0.191709i	−0.604725	+	0.796434i	$0.706717\pi$
$744$	−10.7926	+	12.4435i	−0.395674	+	0.456202i
$745$	−7.63879	+	24.3670i	−0.279864	+	0.892739i
$746$	−0.544544	+	1.67593i	−0.0199372	+	0.0613603i
$747$	7.62820	+	3.88676i	0.279101	+	0.142209i
$748$	−0.311268	+	0.0493000i	−0.0113811	+	0.00180258i
$749$		−	4.46808i		−	0.163260i
$750$	8.50552	−	6.59354i	0.310578	−	0.240762i
$751$	−15.7656	−	11.4544i	−0.575296	−	0.417977i	0.261730	−	0.965141i	$-0.415707\pi$
$751$	−15.7656	−	11.4544i	−0.575296	−	0.417977i	−0.837025	+	0.547165i	$0.815707\pi$
$752$	3.55414	+	0.562921i	0.129606	+	0.0205276i
$753$	−2.03914	+	12.8746i	−0.0743104	+	0.469178i
$754$	9.06311	+	2.94478i	0.330059	+	0.107243i
$755$	−6.37200	+	4.73129i	−0.231901	+	0.172189i
$756$	2.39539	+	0.778308i	0.0871193	+	0.0283068i
$757$	7.28416	+	3.71147i	0.264747	+	0.134895i	0.581326	−	0.813671i	$-0.302534\pi$
$757$	7.28416	+	3.71147i	0.264747	+	0.134895i	−0.316579	+	0.948566i	$0.602534\pi$
$758$	5.63668	−	35.5886i	0.204733	−	1.29264i
$759$	−8.78772	−	27.0458i	−0.318974	−	0.981701i
$760$	−10.8498	+	11.0773i	−0.393565	+	0.401817i
$761$	22.7753	+	31.3475i	0.825603	+	1.13634i	0.988726	+	0.149739i	$0.0478433\pi$
$761$	22.7753	+	31.3475i	0.825603	+	1.13634i	−0.163123	+	0.986606i	$0.552157\pi$
$762$	6.97403	−	13.6873i	0.252643	−	0.495839i
$763$	13.9703	+	27.4182i	0.505757	+	0.992604i
$764$	−9.45644	+	13.0157i	−0.342122	+	0.470891i
$765$	−0.207228	+	0.0350290i	−0.00749234	+	0.00126648i
$766$	19.1140	+	26.3082i	0.690617	+	0.950553i
$767$	3.03342	−	19.1523i	0.109530	−	0.691548i
$768$	−2.66149	−	16.8040i	−0.0960381	−	0.606361i
$769$			10.6123i			0.382690i	0.981523	+	0.191345i	$0.0612849\pi$
$769$			10.6123i			0.382690i	−0.981523	+	0.191345i	$0.938715\pi$
$770$	15.0523	+	4.71873i	0.542447	+	0.170051i
$771$	10.9877	−	15.1233i	0.395714	−	0.544654i
$772$	−12.3692	+	24.2759i	−0.445176	+	0.873708i
$773$	11.1105	−	5.66110i	0.399618	−	0.203616i	−0.242619	−	0.970122i	$-0.578006\pi$
$773$	11.1105	−	5.66110i	0.399618	−	0.203616i	0.642237	+	0.766506i	$0.278006\pi$
$774$	−0.181170			−0.00651201
$775$	17.8002	−	21.4045i	0.639400	−	0.768874i
$776$	12.8058			0.459701
$777$	−2.01371	+	1.02604i	−0.0722414	+	0.0368088i
$778$	2.82604	−	5.54641i	0.101318	−	0.198848i
$779$	2.24334	−	3.08769i	0.0803758	−	0.110628i
$780$	−3.33008	−	1.04394i	−0.119236	−	0.0373792i
$781$			34.3586i			1.22945i
$782$	−0.128852	−	0.813537i	−0.00460772	−	0.0290920i
$783$	−1.06519	+	6.72532i	−0.0380666	+	0.240343i
$784$	0.615734	+	0.847485i	0.0219905	+	0.0302673i
$785$	11.4030	−	1.92752i	0.406991	−	0.0687962i
$786$	7.60519	−	10.4676i	0.271268	−	0.373368i
$787$	7.61666	+	14.9485i	0.271505	+	0.532858i	0.985992	−	0.166790i	$-0.0533403\pi$
$787$	7.61666	+	14.9485i	0.271505	+	0.532858i	−0.714488	+	0.699648i	$0.753340\pi$
$788$	4.92850	−	9.67273i	0.175571	−	0.344577i
$789$	4.54716	+	6.25863i	0.161883	+	0.222813i
$790$	1.75643	−	1.79325i	0.0624909	−	0.0638011i
$791$	−7.40713	−	22.7968i	−0.263367	−	0.810561i
$792$	−1.44559	+	9.12708i	−0.0513667	+	0.324317i
$793$	−8.66914	−	4.41715i	−0.307850	−	0.156858i
$794$	8.80090	+	2.85959i	0.312332	+	0.101483i
$795$	21.0398	−	15.6223i	0.746206	−	0.554067i
$796$	27.0323	+	8.78334i	0.958136	+	0.311317i
$797$	4.90556	−	30.9725i	0.173764	−	1.09710i	−0.734470	−	0.678641i	$-0.762569\pi$
$797$	4.90556	−	30.9725i	0.173764	−	1.09710i	0.908234	−	0.418462i	$-0.137431\pi$
$798$	−5.22862	−	0.828132i	−0.185091	−	0.0293155i
$799$	0.390442	+	0.283673i	0.0138128	+	0.0100356i
$800$	4.63656	+	25.7980i	0.163927	+	0.912098i
$801$			7.50308i			0.265108i
$802$	−0.212442	+	0.0336475i	−0.00750158	+	0.00118813i
$803$	27.0580	+	13.7868i	0.954857	+	0.486524i
$804$	−2.48222	+	7.63948i	−0.0875410	+	0.269424i
$805$	14.2883	−	45.5784i	0.503597	−	1.60643i
$806$	7.76328	+	0.670443i	0.273450	+	0.0236154i
$807$	3.64479	+	3.64479i	0.128303	+	0.128303i
$808$	−4.43566	−	8.70548i	−0.156046	−	0.306258i
$809$	−3.37755	−	10.3950i	−0.118748	−	0.365470i	0.873962	−	0.485994i	$-0.161542\pi$
$809$	−3.37755	−	10.3950i	−0.118748	−	0.365470i	−0.992710	+	0.120524i	$0.961542\pi$
$810$	−0.314636	+	2.12926i	−0.0110552	+	0.0748146i
$811$	−19.0070			−0.667425			−0.333712	−	0.942675i	$-0.608301\pi$
$811$	−19.0070			−0.667425			−0.333712	+	0.942675i	$0.608301\pi$
$812$	−12.1268	+	12.1268i	−0.425568	+	0.425568i
$813$	5.10380	−	0.808362i	0.178998	−	0.0283505i
$814$	−1.70229	−	2.34300i	−0.0596652	−	0.0821221i
$815$	−10.8420	+	21.8357i	−0.379779	+	0.764871i
$816$	−0.0203545	+	0.0626446i	−0.000712549	+	0.00219300i
$817$	−0.435729	+	0.0690127i	−0.0152442	+	0.00241445i
$818$	−9.09618	+	4.63473i	−0.318040	+	0.162050i
$819$	−1.05418	−	3.24442i	−0.0368359	−	0.113369i
$820$	−1.24625	−	3.70436i	−0.0435210	−	0.129362i
$821$	14.7866	−	4.80446i	0.516056	−	0.167677i	−0.0393988	−	0.999224i	$-0.512544\pi$
$821$	14.7866	−	4.80446i	0.516056	−	0.167677i	0.555455	+	0.831547i	$0.312544\pi$
$822$	−4.20839	+	8.25944i	−0.146785	+	0.288081i
$823$	8.41383	+	1.33262i	0.293288	+	0.0464522i	0.301344	−	0.953515i	$-0.402565\pi$
$823$	8.41383	+	1.33262i	0.293288	+	0.0464522i	−0.00805679	+	0.999968i	$0.502565\pi$
$824$	12.6155	−	4.09903i	0.439482	−	0.142796i
$825$	2.12263	−	15.4729i	0.0739004	−	0.538699i
$826$	−24.3689	−	17.7050i	−0.847902	−	0.616037i
$827$	−4.32910	−	8.49633i	−0.150537	−	0.295446i	0.803407	−	0.595431i	$-0.203019\pi$
$827$	−4.32910	−	8.49633i	−0.150537	−	0.295446i	−0.953944	+	0.299984i	$0.903019\pi$
$828$	9.65260	+	1.52882i	0.335451	+	0.0531302i
$829$	40.3922	−	29.3467i	1.40288	−	1.01925i	0.408570	−	0.912727i	$-0.366027\pi$
$829$	40.3922	−	29.3467i	1.40288	−	1.01925i	0.994310	−	0.106525i	$-0.0339726\pi$
$830$	−14.7948	+	10.9853i	−0.513535	+	0.381307i
$831$	15.0832			0.523231
$832$	−6.62876	+	6.62876i	−0.229811	+	0.229811i
$833$	0.0219781	+	0.138764i	0.000761497	+	0.00480790i
$834$	−6.53899	+	2.12465i	−0.226427	+	0.0735705i
$835$	−6.39725	−	37.8454i	−0.221386	−	1.30970i
$836$			7.85921i			0.271816i
$837$	0.394605	+	5.55376i	0.0136395	+	0.191966i
$838$	−1.31485	+	1.31485i	−0.0454209	+	0.0454209i
$839$	−18.0524	−	5.86558i	−0.623238	−	0.202502i	−0.0196606	−	0.999807i	$-0.506259\pi$
$839$	−18.0524	−	5.86558i	−0.623238	−	0.202502i	−0.603577	+	0.797304i	$0.706259\pi$
$840$	−10.8609	+	11.0886i	−0.374736	+	0.382593i
$841$	−14.0482	−	10.2066i	−0.484420	−	0.351952i
$842$	−9.05284	−	9.05284i	−0.311982	−	0.311982i
$843$	14.8209	+	14.8209i	0.510458	+	0.510458i
$844$	−12.4089	+	17.0794i	−0.427132	+	0.587897i
$845$	−7.76185	−	23.0714i	−0.267016	−	0.793679i
$846$	3.99862	−	2.90517i	0.137475	−	0.0998817i
$847$	−2.59922	+	1.32437i	−0.0893101	+	0.0455058i
$848$	−1.28481	−	8.11195i	−0.0441204	−	0.278566i
$849$	−3.24461	+	9.98589i	−0.111355	+	0.342715i
$850$	0.130832	−	0.433028i	0.00448749	−	0.0148527i
$851$	−7.09461	+	5.15453i	−0.243200	+	0.176695i
$852$	−10.5207	−	5.36059i	−0.360435	−	0.183651i
$853$	4.81002	+	2.45083i	0.164692	+	0.0839148i	0.534394	−	0.845236i	$-0.320540\pi$
$853$	4.81002	+	2.45083i	0.164692	+	0.0839148i	−0.369701	+	0.929151i	$0.620540\pi$
$854$	−12.2273	+	8.88366i	−0.418410	+	0.303993i
$855$	0.0543696	+	5.24091i	0.00185940	+	0.179235i
$856$	−1.74091	+	5.35797i	−0.0595031	+	0.183132i
$857$	0.664733	+	4.19696i	0.0227069	+	0.143365i	0.996437	−	0.0843392i	$-0.0268779\pi$
$857$	0.664733	+	4.19696i	0.0227069	+	0.143365i	−0.973730	+	0.227705i	$0.926878\pi$
$858$	3.89503	−	1.98461i	0.132974	−	0.0677536i
$859$	19.7996	−	14.3853i	0.675554	−	0.490819i	−0.196326	−	0.980539i	$-0.562901\pi$
$859$	19.7996	−	14.3853i	0.675554	−	0.490819i	0.871880	+	0.489720i	$0.162901\pi$
$860$	−0.200913	+	0.404637i	−0.00685107	+	0.0137980i
$861$	2.24562	−	3.09083i	0.0765305	−	0.105335i
$862$	22.2170	+	22.2170i	0.756713	+	0.756713i
$863$	11.4737	+	11.4737i	0.390569	+	0.390569i	0.874890	−	0.484321i	$-0.160933\pi$
$863$	11.4737	+	11.4737i	0.390569	+	0.390569i	−0.484321	+	0.874890i	$0.660933\pi$
$864$	−4.24109	−	3.08133i	−0.144285	−	0.104829i
$865$	−0.138914	−	0.136062i	−0.00472323	−	0.00462624i
$866$	5.80616	+	1.88654i	0.197302	+	0.0641071i
$867$	12.0146	−	12.0146i	0.408036	−	0.408036i
$868$	−7.41790	+	11.9007i	−0.251780	+	0.403937i
$869$		−	3.64275i		−	0.123572i
$870$	−11.9456	−	8.49106i	−0.404993	−	0.287874i
$871$	10.3473	−	3.36203i	0.350603	−	0.113918i
$872$	−6.06964	−	38.3222i	−0.205544	−	1.29775i
$873$	3.06077	−	3.06077i	0.103591	−	0.103591i
$874$	−20.5410			−0.694810
$875$	17.9631	−	19.1175i	0.607265	−	0.646289i
$876$	−8.44313	+	6.13429i	−0.285267	+	0.207258i
$877$	−24.9576	−	3.95289i	−0.842757	−	0.133480i	−0.279895	−	0.960031i	$-0.590300\pi$
$877$	−24.9576	−	3.95289i	−0.842757	−	0.133480i	−0.562862	+	0.826551i	$0.690300\pi$
$878$	−5.36691	−	10.5332i	−0.181124	−	0.355477i
$879$	−2.48217	−	1.80340i	−0.0837214	−	0.0608271i
$880$	−3.98960	−	2.83585i	−0.134489	−	0.0955964i
$881$	−38.5203	+	12.5160i	−1.29778	+	0.421675i	−0.874809	−	0.484468i	$-0.839013\pi$
$881$	−38.5203	+	12.5160i	−1.29778	+	0.421675i	−0.422972	+	0.906143i	$0.639013\pi$
$882$	1.42112	+	0.225084i	0.0478517	+	0.00757897i
$883$	−23.8859	+	46.8787i	−0.803824	+	1.57759i	0.0124447	+	0.999923i	$0.496039\pi$
$883$	−23.8859	+	46.8787i	−0.803824	+	1.57759i	−0.816269	+	0.577672i	$0.803961\pi$
$884$	−0.139512	+	0.0453303i	−0.00469230	+	0.00152462i
$885$	−13.2627	+	26.7109i	−0.445820	+	0.897877i
$886$	−11.5120	−	35.4302i	−0.386752	−	1.19030i
$887$	−1.44480	+	0.736163i	−0.0485117	+	0.0247179i	−0.478078	−	0.878317i	$-0.658666\pi$
$887$	−1.44480	+	0.736163i	−0.0485117	+	0.0247179i	0.429566	+	0.903035i	$0.358666\pi$
$888$	2.81455	−	0.445781i	0.0944501	−	0.0149594i
$889$	11.5710	−	35.6120i	0.388080	−	1.19439i
$890$	−14.4646	−	7.18206i	−0.484854	−	0.240743i
$891$	1.83599	+	2.52702i	0.0615080	+	0.0846585i
$892$	10.7505	−	1.70270i	0.359952	−	0.0570108i
$893$	8.51037	−	8.51037i	0.284789	−	0.284789i
$894$	10.9928			0.367654
$895$	11.6888	+	15.7422i	0.390714	+	0.526205i
$896$	−3.10190	−	9.54666i	−0.103627	−	0.318931i
$897$	−6.00942	−	11.7942i	−0.200649	−	0.393795i
$898$	−14.3624	−	14.3624i	−0.479278	−	0.479278i
$899$	−34.9145	−	14.7742i	−1.16446	−	0.492748i
$900$	4.40671	+	3.06403i	0.146890	+	0.102134i
$901$	0.340386	−	1.04760i	0.0113399	−	0.0349006i
$902$	4.36212	+	2.22261i	0.145243	+	0.0740048i
$903$	−0.436173	+	0.0690829i	−0.0145149	+	0.00229894i
$904$			30.2232i			1.00521i
$905$	1.42430	−	4.54340i	0.0473455	−	0.151028i
$906$	2.76398	+	2.00815i	0.0918269	+	0.0667162i
$907$	33.7785	+	5.34999i	1.12160	+	0.177644i	0.689571	−	0.724218i	$-0.257799\pi$
$907$	33.7785	+	5.34999i	1.12160	+	0.177644i	0.432026	+	0.901861i	$0.357799\pi$
$908$	−4.21897	+	26.6375i	−0.140012	+	0.883998i
$909$	−3.14092	−	1.02055i	−0.104178	−	0.0338494i
$910$	7.26373	+	1.07334i	0.240790	+	0.0355810i
$911$	−33.6648	−	10.9383i	−1.11536	−	0.362403i	−0.307367	−	0.951591i	$-0.599448\pi$
$911$	−33.6648	−	10.9383i	−1.11536	−	0.362403i	−0.807996	+	0.589188i	$0.799448\pi$
$912$	1.46360	+	0.745742i	0.0484647	+	0.0246940i
$913$	−4.18336	+	26.4127i	−0.138449	+	0.874133i
$914$	−2.24021	−	6.89465i	−0.0740995	−	0.228055i
$915$	10.6901	+	10.4705i	0.353403	+	0.346146i
$916$	7.82792	+	10.7742i	0.258642	+	0.355990i
$917$	14.3183	−	28.1012i	0.472831	−	0.927984i
$918$	0.0410735	+	0.0806113i	0.00135563	+	0.00266057i
$919$	−15.4424	+	21.2547i	−0.509399	+	0.701128i	−0.983818	−	0.179171i	$-0.942658\pi$
$919$	−15.4424	+	21.2547i	−0.509399	+	0.701128i	0.474419	+	0.880299i	$0.342658\pi$
$920$	−34.8929	+	49.0889i	−1.15039	+	1.61841i
$921$	−11.0181	−	15.1651i	−0.363058	−	0.499706i
$922$	−1.06020	+	6.69385i	−0.0349159	+	0.220450i
$923$	2.50184	+	15.7960i	0.0823491	+	0.519932i
$924$			7.86721i			0.258812i
$925$	−4.74018	+	0.851932i	−0.155856	+	0.0280113i
$926$	−6.98702	+	9.61680i	−0.229608	+	0.316028i
$927$	2.03556	−	3.99502i	0.0668567	−	0.131214i
$928$	31.8049	−	16.2054i	1.04405	−	0.531968i
$929$	47.6478			1.56327			0.781637	−	0.623733i	$-0.214385\pi$
$929$	47.6478			1.56327			0.781637	+	0.623733i	$0.214385\pi$
$930$	−11.0844	−	4.55542i	−0.363471	−	0.149378i
$931$	3.50367			0.114828
$932$	−22.8563	+	11.6459i	−0.748684	+	0.381473i
$933$	−13.7012	+	26.8902i	−0.448558	+	0.880345i
$934$	7.85881	−	10.8167i	0.257148	−	0.353934i
$935$	−0.304084	−	0.581799i	−0.00994462	−	0.0190269i
$936$			4.30134i			0.140594i
$937$	−3.52561	−	22.2598i	−0.115177	−	0.727197i	−0.975915	−	0.218150i	$-0.929998\pi$
$937$	−3.52561	−	22.2598i	−0.115177	−	0.727197i	0.860739	−	0.509047i	$-0.170002\pi$
$938$	2.64381	−	16.6923i	0.0863233	−	0.545024i
$939$	−17.5950	−	24.2175i	−0.574192	−	0.790308i
$940$	−2.05422	−	12.1526i	−0.0670013	−	0.396373i
$941$	2.84224	−	3.91201i	0.0926543	−	0.127528i	−0.760173	−	0.649721i	$-0.774886\pi$
$941$	2.84224	−	3.91201i	0.0926543	−	0.127528i	0.852827	+	0.522193i	$0.174886\pi$
$942$	−2.26013	−	4.43575i	−0.0736389	−	0.144525i
$943$	6.73007	−	13.2085i	0.219161	−	0.430128i
$944$	5.49379	+	7.56156i	0.178808	+	0.246108i
$945$	0.0544250	+	5.24625i	0.00177045	+	0.170660i
$946$	−0.174872	−	0.538200i	−0.00568557	−	0.0174984i
$947$	−9.08308	+	57.3483i	−0.295160	+	1.86357i	0.179996	+	0.983667i	$0.442392\pi$
$947$	−9.08308	+	57.3483i	−0.295160	+	1.86357i	−0.475156	+	0.879901i	$0.657608\pi$
$948$	1.11543	+	0.568338i	0.0362274	+	0.0184588i
$949$	13.4435	+	4.36807i	0.436396	+	0.141794i
$950$	−10.1556	−	4.91186i	−0.329490	−	0.159362i
$951$	25.5254	+	8.29372i	0.827719	+	0.268942i
$952$	−0.102061	+	0.644389i	−0.00330782	+	0.0208848i
$953$	2.71702	+	0.430334i	0.0880131	+	0.0139399i	0.200286	−	0.979738i	$-0.435813\pi$
$953$	2.71702	+	0.430334i	0.0880131	+	0.0139399i	−0.112273	+	0.993677i	$0.535813\pi$
$954$	−9.12642	−	6.63073i	−0.295479	−	0.214678i
$955$	−31.9784	−	10.0249i	−1.03480	−	0.324397i
$956$		−	30.8515i		−	0.997810i
$957$	−21.0070	+	3.32718i	−0.679060	+	0.107553i
$958$	16.8312	+	8.57595i	0.543793	+	0.277076i
$959$	−6.98240	+	21.4896i	−0.225474	+	0.693936i
$960$	12.7775	−	6.67830i	0.412391	−	0.215541i
$961$	−30.5410	−	5.31473i	−0.985194	−	0.171443i
$962$	−0.953216	−	0.953216i	−0.0307329	−	0.0307329i
$963$	0.864531	+	1.69674i	0.0278591	+	0.0546766i
$964$	−5.46937	−	16.8330i	−0.176157	−	0.542154i
$965$	−56.1444	−	8.29633i	−1.80735	−	0.267068i
$966$	−20.5619			−0.661570
$967$	−5.06381	+	5.06381i	−0.162841	+	0.162841i	−0.783824	−	0.620983i	$-0.786734\pi$
$967$	−5.06381	+	5.06381i	−0.162841	+	0.162841i	0.620983	+	0.783824i	$0.286734\pi$
$968$	3.63291	−	0.575397i	0.116766	−	0.0184939i
$969$	0.129492	+	0.178231i	0.00415990	+	0.00572561i
$970$	2.97080	+	8.83043i	0.0953867	+	0.283528i
$971$	−2.72891	+	8.39873i	−0.0875750	+	0.269528i	−0.985248	−	0.171135i	$-0.945257\pi$
$971$	−2.72891	+	8.39873i	−0.0875750	+	0.269528i	0.897673	+	0.440663i	$0.145257\pi$
$972$	−1.06023	+	0.167925i	−0.0340070	+	0.00538618i
$973$	−14.9327	+	7.60859i	−0.478720	+	0.243920i
$974$	−7.10857	−	21.8779i	−0.227773	−	0.701014i
$975$	−0.150816	−	7.26809i	−0.00482996	−	0.232765i
$976$	4.46021	−	1.44921i	0.142768	−	0.0463880i
$977$	11.1403	−	21.8641i	0.356410	−	0.699493i	−0.641289	−	0.767300i	$-0.721600\pi$
$977$	11.1403	−	21.8641i	0.356410	−	0.699493i	0.997699	+	0.0678063i	$0.0216000\pi$
$978$	10.3655	+	1.64173i	0.331451	+	0.0524967i
$979$	−22.2894	+	7.24225i	−0.712371	+	0.231463i
$980$	2.07871	−	2.92442i	0.0664020	−	0.0934172i
$981$	−10.6103	−	7.70884i	−0.338761	−	0.246124i
$982$	8.23558	+	16.1632i	0.262808	+	0.515790i
$983$	9.90938	+	1.56949i	0.316060	+	0.0500590i	0.312449	−	0.949934i	$-0.398851\pi$
$983$	9.90938	+	1.56949i	0.316060	+	0.0500590i	0.00361102	+	0.999993i	$0.498851\pi$
$984$	−3.89716	+	2.83145i	−0.124237	+	0.0902635i
$985$	22.3708	+	3.30567i	0.712792	+	0.105328i
$986$	−0.616039			−0.0196187
$987$	8.51904	−	8.51904i	0.271164	−	0.271164i
$988$	0.572273	+	3.61319i	0.0182064	+	0.114951i
$989$	−1.62967	+	0.529512i	−0.0518205	+	0.0168375i
$990$	−6.62908	+	1.12056i	−0.210686	+	0.0356136i
$991$			42.3772i			1.34616i	0.739572	+	0.673078i	$0.235028\pi$
$991$			42.3772i			1.34616i	−0.739572	+	0.673078i	$0.764972\pi$
$992$	22.3381	−	18.7865i	0.709235	−	0.596473i
$993$	−10.8840	+	10.8840i	−0.345394	+	0.345394i
$994$	23.6272	+	7.67694i	0.749409	+	0.243498i
$995$	0.614195	+	59.2048i	0.0194713	+	1.87692i
$996$	−7.43500	−	5.40184i	−0.235587	−	0.171164i
$997$	0.870184	+	0.870184i	0.0275590	+	0.0275590i	0.720752	−	0.693193i	$-0.243797\pi$
$997$	0.870184	+	0.870184i	0.0275590	+	0.0275590i	−0.693193	+	0.720752i	$0.743797\pi$
$998$	−23.7493	−	23.7493i	−0.751770	−	0.751770i
$999$	0.566170	−	0.779267i	0.0179128	−	0.0246549i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	465.2.bk.a.457.11	yes	256
5.3	odd	4	inner	465.2.bk.a.178.22	yes	256
31.27	odd	10	inner	465.2.bk.a.337.22	yes	256
155.58	even	20	inner	465.2.bk.a.58.11	✓	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
465.2.bk.a.58.11	✓	256	155.58	even	20	inner
465.2.bk.a.178.22	yes	256	5.3	odd	4	inner
465.2.bk.a.337.22	yes	256	31.27	odd	10	inner
465.2.bk.a.457.11	yes	256	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 465 = 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	465.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.857660 + 0.437000i) q^{2} +(0.453990 - 0.891007i) q^{3} +(-0.630958 + 0.868439i) q^{4} +(-2.13368 - 0.668885i) q^{5} +0.962575i q^{6} +(0.367045 + 2.31743i) q^{7} +(0.462800 - 2.92200i) q^{8} +(-0.587785 - 0.809017i) q^{9} +O(q^{10})\)	\(q+(-0.857660 + 0.437000i) q^{2} +(0.453990 - 0.891007i) q^{3} +(-0.630958 + 0.868439i) q^{4} +(-2.13368 - 0.668885i) q^{5} +0.962575i q^{6} +(0.367045 + 2.31743i) q^{7} +(0.462800 - 2.92200i) q^{8} +(-0.587785 - 0.809017i) q^{9} +(2.12228 - 0.358742i) q^{10} +(1.83599 - 2.52702i) q^{11} +(0.487336 + 0.956451i) q^{12} +(0.660070 - 1.29546i) q^{13} +(-1.32752 - 1.82717i) q^{14} +(-1.56465 + 1.59746i) q^{15} +(0.216560 + 0.666505i) q^{16} +(-0.0147032 + 0.0928326i) q^{17} +(0.857660 + 0.437000i) q^{18} +(2.22921 + 0.724315i) q^{19} +(1.92715 - 1.43093i) q^{20} +(2.23148 + 0.725053i) q^{21} +(-0.470347 + 2.96965i) q^{22} +(8.99212 + 1.42421i) q^{23} +(-2.39342 - 1.73892i) q^{24} +(4.10519 + 2.85437i) q^{25} +1.39952i q^{26} +(-0.987688 + 0.156434i) q^{27} +(-2.24414 - 1.14345i) q^{28} +(2.10414 - 6.47589i) q^{29} +(0.643852 - 2.05383i) q^{30} +(0.479054 - 5.54712i) q^{31} +(3.70685 + 3.70685i) q^{32} +(-1.41807 - 2.78312i) q^{33} +(-0.0279574 - 0.0860441i) q^{34} +(0.766939 - 5.19017i) q^{35} +1.07345 q^{36} +(-0.681104 + 0.681104i) q^{37} +(-2.22843 + 0.352949i) q^{38} +(-0.854599 - 1.17625i) q^{39} +(-2.94195 + 5.92506i) q^{40} +(0.503168 - 1.54859i) q^{41} +(-2.23070 + 0.353309i) q^{42} +(-0.167700 + 0.0854472i) q^{43} +(1.03613 + 3.18889i) q^{44} +(0.713006 + 2.11934i) q^{45} +(-8.33457 + 2.70807i) q^{46} +(2.33112 - 4.57508i) q^{47} +(0.692176 + 0.109630i) q^{48} +(1.42162 - 0.461913i) q^{49} +(-4.76822 - 0.654119i) q^{50} +(0.0760393 + 0.0552458i) q^{51} +(0.708553 + 1.39061i) q^{52} +(-11.5752 - 1.83333i) q^{53} +(0.778739 - 0.565787i) q^{54} +(-5.60770 + 4.16379i) q^{55} +6.94141 q^{56} +(1.65741 - 1.65741i) q^{57} +(1.02532 + 6.47362i) q^{58} +(12.6842 - 4.12135i) q^{59} +(-0.400064 - 2.36673i) q^{60} -6.69194i q^{61} +(2.01322 + 4.96689i) q^{62} +(1.65910 - 1.65910i) q^{63} +(-6.13212 - 1.99245i) q^{64} +(-2.27489 + 2.32259i) q^{65} +(2.43245 + 1.76728i) q^{66} +(5.29128 + 5.29128i) q^{67} +(-0.0713424 - 0.0713424i) q^{68} +(5.35132 - 7.36546i) q^{69} +(1.61033 + 4.78656i) q^{70} +(-8.89901 + 6.46551i) q^{71} +(-2.63598 + 1.34310i) q^{72} +(1.52088 + 9.60249i) q^{73} +(0.286514 - 0.881798i) q^{74} +(4.40698 - 2.36189i) q^{75} +(-2.03556 + 1.47892i) q^{76} +(6.53010 + 3.32725i) q^{77} +(1.24698 + 0.635367i) q^{78} +(0.943487 - 0.685483i) q^{79} +(-0.0162558 - 1.56696i) q^{80} +(-0.309017 + 0.951057i) q^{81} +(0.245187 + 1.54805i) q^{82} +(-7.62820 + 3.88676i) q^{83} +(-2.03764 + 1.48043i) q^{84} +(0.0934664 - 0.188240i) q^{85} +(0.106489 - 0.146569i) q^{86} +(-4.81480 - 4.81480i) q^{87} +(-6.53427 - 6.53427i) q^{88} +(-6.07012 - 4.41020i) q^{89} +(-1.53767 - 1.50609i) q^{90} +(3.24442 + 1.05418i) q^{91} +(-6.91050 + 6.91050i) q^{92} +(-4.72503 - 2.94518i) q^{93} +4.94257i q^{94} +(-4.27194 - 3.03654i) q^{95} +(4.98570 - 1.61995i) q^{96} +(0.677140 + 4.27529i) q^{97} +(-1.01741 + 1.01741i) q^{98} -3.12357 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 256 q + 12 q^{7} + 12 q^{8}+O(q^{10}) \) 256 * q + 12 * q^7 + 12 * q^8	\( 256 q + 12 q^{7} + 12 q^{8} + 8 q^{10} + 64 q^{16} + 60 q^{20} - 40 q^{21} - 120 q^{22} + 16 q^{25} + 12 q^{28} - 16 q^{31} - 56 q^{32} - 24 q^{33} - 264 q^{36} - 36 q^{38} - 16 q^{40} + 24 q^{41} - 20 q^{42} - 20 q^{46} - 96 q^{47} - 84 q^{50} - 16 q^{51} + 180 q^{52} - 40 q^{53} - 80 q^{55} + 32 q^{56} + 64 q^{62} + 8 q^{63} - 120 q^{65} + 24 q^{66} + 128 q^{67} - 176 q^{70} - 120 q^{71} + 12 q^{72} - 40 q^{73} + 60 q^{76} + 40 q^{77} - 48 q^{80} + 64 q^{81} + 44 q^{82} + 120 q^{85} + 16 q^{87} + 12 q^{90} + 40 q^{91} + 88 q^{93} - 120 q^{95} - 40 q^{96} - 152 q^{97} - 8 q^{98}+O(q^{100}) \) 256 * q + 12 * q^7 + 12 * q^8 + 8 * q^10 + 64 * q^16 + 60 * q^20 - 40 * q^21 - 120 * q^22 + 16 * q^25 + 12 * q^28 - 16 * q^31 - 56 * q^32 - 24 * q^33 - 264 * q^36 - 36 * q^38 - 16 * q^40 + 24 * q^41 - 20 * q^42 - 20 * q^46 - 96 * q^47 - 84 * q^50 - 16 * q^51 + 180 * q^52 - 40 * q^53 - 80 * q^55 + 32 * q^56 + 64 * q^62 + 8 * q^63 - 120 * q^65 + 24 * q^66 + 128 * q^67 - 176 * q^70 - 120 * q^71 + 12 * q^72 - 40 * q^73 + 60 * q^76 + 40 * q^77 - 48 * q^80 + 64 * q^81 + 44 * q^82 + 120 * q^85 + 16 * q^87 + 12 * q^90 + 40 * q^91 + 88 * q^93 - 120 * q^95 - 40 * q^96 - 152 * q^97 - 8 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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