LMFDB - Embedded newform 465.2.bk.a.58.11

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			58.11
Character	$\chi$	$=$	465.58
Dual form			465.2.bk.a.457.11

$q$-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 $\left(\mathbb{Z}/465\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$406$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$1$	$e\left(\frac{1}{10}\right)$

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	0.123663	−	0.992324i	$-0.460536\pi$
$2$	−0.857660	−	0.437000i	−0.606457	−	0.309005i	−0.730120	+	0.683319i	$0.760536\pi$
$3$	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	−0.815917	−	0.578169i	$-0.803768\pi$
$7$	0.367045	−	2.31743i	0.138730	−	0.875907i	0.954647	−	0.297739i	$-0.0962324\pi$
$8$	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	0.990491	−	0.137574i	$-0.0439306\pi$
$11$	1.83599	+	2.52702i	0.553572	+	0.761926i	−0.436920	+	0.899501i	$0.643931\pi$
$12$	0.487336	−	0.956451i	0.140682	−	0.276104i
$13$	0.660070	+	1.29546i	0.183071	+	0.359296i	0.964243	−	0.265019i	$-0.0853782\pi$
$13$	0.660070	+	1.29546i	0.183071	+	0.359296i	−0.781173	+	0.624315i	$0.785378\pi$
$14$	−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	0.985841	−	0.167682i	$-0.0536282\pi$
$17$	−0.0147032	−	0.0928326i	−0.00356606	−	0.0225152i	−0.989407	+	0.145167i	$0.953628\pi$
$18$	0.857660	−	0.437000i	0.202152	−	0.103002i
$19$	2.22921	−	0.724315i	0.511417	−	0.166169i	−0.0419299	−	0.999121i	$-0.513351\pi$
$19$	2.22921	−	0.724315i	0.511417	−	0.166169i	0.553346	+	0.832951i	$0.313351\pi$
$20$	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	0.888258	−	0.459344i	$-0.151915\pi$
$23$	8.99212	−	1.42421i	1.87499	−	0.296969i	0.986729	+	0.162375i	$0.0519155\pi$
$24$	−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	0.932238	+	0.361846i	$0.117854\pi$
$29$	2.10414	+	6.47589i	0.390730	+	1.20254i	−0.541508	+	0.840695i	$0.682146\pi$
$30$	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	0.648900	−	0.760873i	$-0.275229\pi$
$37$	−0.681104	−	0.681104i	−0.111973	−	0.111973i	−0.760873	+	0.648900i	$0.775229\pi$
$38$	−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	0.982628	−	0.185584i	$-0.0594178\pi$
$41$	0.503168	+	1.54859i	0.0785816	+	0.241849i	−0.904047	+	0.427434i	$0.859418\pi$
$42$	−2.23070	−	0.353309i	−0.344205	−	0.0545167i
$43$	−0.167700	−	0.0854472i	−0.0255739	−	0.0130306i	0.441157	−	0.897430i	$-0.354568\pi$
$43$	−0.167700	−	0.0854472i	−0.0255739	−	0.0130306i	−0.466731	+	0.884399i	$0.654568\pi$
$44$	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	0.996184	−	0.0872819i	$-0.0278181\pi$
$47$	2.33112	+	4.57508i	0.340029	+	0.667345i	−0.656155	+	0.754627i	$0.727818\pi$
$48$	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	−0.887818	−	0.460194i	$-0.847780\pi$
$53$	−11.5752	+	1.83333i	−1.58998	+	0.251827i	−0.702158	+	0.712022i	$0.747780\pi$
$54$	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	0.979030	−	0.203715i	$-0.0653016\pi$
$59$	12.6842	+	4.12135i	1.65134	+	0.536553i	0.672311	+	0.740268i	$0.265302\pi$
$60$	−0.400064	+	2.36673i	−0.0516480	+	0.305544i
$61$			6.69194i			0.856815i	0.903586	+	0.428407i	$0.140925\pi$
$61$			6.69194i			0.856815i	−0.903586	+	0.428407i	$0.859075\pi$
$62$	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	−0.305697	−	0.952129i	$-0.598889\pi$
$67$	5.29128	−	5.29128i	0.646432	−	0.646432i	0.952129	+	0.305697i	$0.0988893\pi$
$68$	−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	−0.0827516	−	0.996570i	$-0.526371\pi$
$71$	−8.89901	−	6.46551i	−1.05612	−	0.767315i	−0.973366	+	0.229256i	$0.926371\pi$
$72$	−2.63598	−	1.34310i	−0.310653	−	0.158285i
$73$	1.52088	−	9.60249i	0.178006	−	1.12389i	−0.723246	−	0.690591i	$-0.757351\pi$
$73$	1.52088	−	9.60249i	0.178006	−	1.12389i	0.901252	−	0.433295i	$-0.142649\pi$
$74$	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	0.639594	−	0.768713i	$-0.279102\pi$
$79$	0.943487	+	0.685483i	0.106151	+	0.0771229i	−0.533444	+	0.845836i	$0.679102\pi$
$80$	−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	−0.0178971	−	0.999840i	$-0.505697\pi$
$83$	−7.62820	−	3.88676i	−0.837304	−	0.426628i	−0.819407	+	0.573212i	$0.805697\pi$
$84$	−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	−0.861027	−	0.508558i	$-0.830179\pi$
$89$	−6.07012	+	4.41020i	−0.643432	+	0.467481i	0.217596	+	0.976039i	$0.430179\pi$
$90$	−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	−0.929169	−	0.369656i	$-0.879476\pi$
$97$	0.677140	−	4.27529i	0.0687531	−	0.434090i	0.997922	−	0.0644345i	$-0.0205244\pi$
$98$	−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	0.712725	−	0.701443i	$-0.247461\pi$
$101$	2.67183	+	1.94120i	0.265857	+	0.193156i	−0.446868	+	0.894600i	$0.647461\pi$
$102$	−0.0893583	+	0.0141530i	−0.00884779	+	0.00140135i
$103$	2.03556	−	3.99502i	0.200570	−	0.393641i	−0.768711	−	0.639596i	$-0.779102\pi$
$103$	2.03556	−	3.99502i	0.200570	−	0.393641i	0.969281	+	0.245955i	$0.0791016\pi$
$104$	−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	−0.246685	−	0.969096i	$-0.579341\pi$
$107$	−1.88085	+	0.297897i	−0.181828	+	0.0287988i	0.0648562	+	0.997895i	$0.479341\pi$
$108$	0.487336	+	0.956451i	0.0468939	+	0.0920345i
$109$	12.4732	+	4.05278i	1.19471	+	0.388185i	0.837813	−	0.545957i	$-0.183834\pi$
$109$	12.4732	+	4.05278i	1.19471	+	0.388185i	0.356899	+	0.934143i	$0.383834\pi$
$110$	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	−0.337413	−	0.941357i	$-0.609552\pi$
$113$	−10.0902	−	1.59813i	−0.949208	−	0.150340i	−0.611794	+	0.791017i	$0.709552\pi$
$114$	−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	−0.951473	−	0.307732i	$-0.900430\pi$
$127$	−14.2195	+	7.24519i	−1.26177	+	0.642906i	−0.310301	+	0.950638i	$0.600430\pi$
$128$	−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	−0.950835	−	0.309697i	$-0.899772\pi$
$131$	−10.8746	+	7.90088i	−0.950121	+	0.690303i	0.000714752		1.00000i	$0.499772\pi$
$132$	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	−0.0472519	−	0.998883i	$-0.515046\pi$
$137$	8.58057	−	4.37202i	0.733087	−	0.373527i	0.780339	+	0.625356i	$0.215046\pi$
$138$	−1.37091	−	8.65559i	−0.116700	−	0.736813i
$139$	2.20725	−	6.79323i	0.187217	−	0.576194i	−0.812763	−	0.582595i	$-0.802037\pi$
$139$	2.20725	−	6.79323i	0.187217	−	0.576194i	0.999980	+	0.00640067i	$0.00203741\pi$
$140$	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	$0.154949\pi$
$149$			11.4202i			0.935578i	−0.883840	+	0.467789i	$0.845051\pi$
$150$	−2.74755	−	3.95155i	−0.224336	−	0.322642i
$151$	2.08622	+	2.87144i	0.169774	+	0.233675i	0.885423	−	0.464786i	$-0.153869\pi$
$151$	2.08622	+	2.87144i	0.169774	+	0.233675i	−0.715649	+	0.698461i	$0.753869\pi$
$152$	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	0.260329	−	0.965520i	$-0.416169\pi$
$157$	−4.60821	−	2.34800i	−0.367776	−	0.187391i	−0.628105	+	0.778129i	$0.716169\pi$
$158$	−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	0.959921	+	0.280269i	$0.0904238\pi$
$163$	1.70556	+	10.7685i	0.133590	+	0.843453i	−0.826331	+	0.563184i	$0.809576\pi$
$164$	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	−0.364614	−	0.931159i	$-0.618799\pi$
$167$	7.79279	−	15.2942i	0.603024	−	1.18350i	0.967638	−	0.252343i	$-0.0812010\pi$
$168$	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	−0.451043	−	0.892502i	$-0.648948\pi$
$173$	0.0774817	−	0.0394789i	0.00589083	−	0.00300153i	0.456933	+	0.889501i	$0.348948\pi$
$174$	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	−0.820444	−	0.571727i	$-0.806274\pi$
$179$	−7.09399	+	5.15409i	−0.530230	+	0.385234i	0.290214	+	0.956962i	$0.406274\pi$
$180$	−2.29040	+	0.718015i	−0.170716	+	0.0535177i
$181$		−	2.12937i		−	0.158275i	−0.996864	−	0.0791374i	$-0.974783\pi$
$181$		−	2.12937i		−	0.158275i	0.996864	−	0.0791374i	$-0.0252166\pi$
$182$	−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	0.965890	−	0.258953i	$-0.0833773\pi$
$193$	25.0687	+	3.97049i	1.80449	+	0.285802i	0.838595	+	0.544755i	$0.183377\pi$
$194$	−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	−0.209901	−	0.977723i	$-0.567314\pi$
$197$	−9.98864	−	1.58204i	−0.711661	−	0.112716i	−0.501760	+	0.865007i	$0.667314\pi$
$198$	2.67896	+	1.36500i	0.190386	+	0.0970063i
$199$	−8.18235	+	25.1827i	−0.580031	+	1.78515i	0.0383384	+	0.999265i	$0.487794\pi$
$199$	−8.18235	+	25.1827i	−0.580031	+	1.78515i	−0.618370	+	0.785887i	$0.712206\pi$
$200$	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	−0.905173	−	0.425044i	$-0.860259\pi$
$223$	−7.16985	+	7.16985i	−0.480129	+	0.480129i	0.425044	+	0.905173i	$0.360259\pi$
$224$	−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	0.993549	−	0.113401i	$-0.0361744\pi$
$227$	22.3858	+	11.4062i	1.48580	+	0.757053i	0.492250	+	0.870454i	$0.336174\pi$
$228$	0.393604	−	2.48512i	0.0260671	−	0.164581i
$229$	3.83379	+	11.7992i	0.253344	+	0.779713i	0.994151	+	0.107995i	$0.0344431\pi$
$229$	3.83379	+	11.7992i	0.253344	+	0.779713i	−0.740807	+	0.671717i	$0.765557\pi$
$230$	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	0.414934	−	0.909852i	$-0.363805\pi$
$233$	21.2924	−	10.8490i	1.39491	−	0.710743i	0.979977	+	0.199109i	$0.0638047\pi$
$234$	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	−0.968745	−	0.248057i	$-0.920208\pi$
$239$	−23.2516	−	16.8933i	−1.50402	−	1.09273i	−0.535275	−	0.844678i	$-0.679792\pi$
$240$	−1.40355	+	0.696902i	−0.0905990	+	0.0449848i
$241$	−9.69152	−	13.3392i	−0.624286	−	0.859256i	0.373370	−	0.927682i	$-0.378202\pi$
$241$	−9.69152	−	13.3392i	−0.624286	−	0.859256i	−0.997656	+	0.0684266i	$0.978202\pi$
$242$	−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	−0.109593	−	0.993977i	$-0.534955\pi$
$251$	−12.3971	−	4.02807i	−0.782500	−	0.254250i	−0.672907	+	0.739727i	$0.734955\pi$
$252$	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	0.448760	−	0.893652i	$-0.351866\pi$
$257$	18.4633	−	2.92430i	1.15171	−	0.182413i	0.702950	+	0.711239i	$0.251866\pi$
$258$	−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	0.757008	−	0.653405i	$-0.226660\pi$
$263$	−3.51211	−	6.89291i	−0.216566	−	0.425035i	−0.973574	+	0.228370i	$0.926660\pi$
$264$	−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	0.890683	−	0.454625i	$-0.150227\pi$
$269$	−1.59283	−	4.90223i	−0.0971167	−	0.298894i	−0.987800	+	0.155731i	$0.950227\pi$
$270$	−2.04003	−	0.686322i	−0.124152	−	0.0417682i
$271$	3.03733	−	4.18053i	0.184505	−	0.253949i	−0.706738	−	0.707475i	$-0.749834\pi$
$271$	3.03733	−	4.18053i	0.184505	−	0.253949i	0.891243	+	0.453526i	$0.149834\pi$
$272$	−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	−0.588565	−	0.808450i	$-0.700307\pi$
$277$	6.84763	−	13.4392i	0.411434	−	0.807486i	1.00000		0.000964293i	$0.000306944\pi$
$278$	−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	−0.935472	−	0.353400i	$-0.885025\pi$
$281$	−6.47696	−	19.9340i	−0.386383	−	1.18916i	0.549089	−	0.835764i	$-0.314975\pi$
$282$	4.40386	−	2.24388i	0.262246	−	0.133621i
$283$	−10.3705	−	1.64253i	−0.616464	−	0.0976382i	−0.159610	−	0.987180i	$-0.551024\pi$
$283$	−10.3705	−	1.64253i	−0.616464	−	0.0976382i	−0.456854	+	0.889542i	$0.651024\pi$
$284$			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	0.997734	−	0.0672874i	$-0.0214345\pi$
$293$	0.479961	+	3.03035i	0.0280396	+	0.177035i	−0.969694	+	0.244322i	$0.921434\pi$
$294$	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	0.995663	+	0.0930378i	$0.0296577\pi$
$307$	8.51008	+	16.7020i	0.485696	+	0.953232i	−0.509967	+	0.860194i	$0.670342\pi$
$308$	−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	0.859148	+	0.511728i	$0.170994\pi$
$313$	13.5900	+	26.6718i	0.768150	+	1.50758i	−0.0909978	+	0.995851i	$0.529006\pi$
$314$	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	−0.531203	−	0.847245i	$-0.678260\pi$
$317$	4.19855	−	26.5086i	0.235814	−	1.48887i	0.767017	−	0.641627i	$-0.221740\pi$
$318$	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	−0.682322	−	0.731051i	$-0.739030\pi$
$331$	−14.6390	+	4.75649i	−0.804631	+	0.261441i	−0.122309	+	0.992492i	$0.539030\pi$
$332$	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	−0.889145	−	0.457626i	$-0.848700\pi$
$337$	−34.4422	−	5.45511i	−1.87619	−	0.297159i	−0.987041	+	0.160467i	$0.948700\pi$
$338$	−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	0.887125	−	0.461529i	$-0.152699\pi$
$347$	7.92798	+	7.92798i	0.425596	+	0.425596i	−0.461529	+	0.887125i	$0.652699\pi$
$348$	7.21929	+	1.14342i	0.386995	+	0.0612939i
$349$	3.10856	−	4.27856i	0.166397	−	0.229026i	−0.717673	−	0.696380i	$-0.754793\pi$
$349$	3.10856	−	4.27856i	0.166397	−	0.229026i	0.884070	+	0.467354i	$0.154793\pi$
$350$	−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	0.358987	−	0.933342i	$-0.383122\pi$
$353$	−3.47762	−	1.77194i	−0.185095	−	0.0943108i	−0.544083	+	0.839032i	$0.683122\pi$
$354$	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	0.00312039	−	0.999995i	$-0.499007\pi$
$359$	−11.0299	−	3.58384i	−0.582138	−	0.189148i	−0.585258	+	0.810847i	$0.699007\pi$
$360$	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	0.190534	−	0.981681i	$-0.438978\pi$
$367$	−15.1562	−	15.1562i	−0.791147	−	0.791147i	−0.981681	+	0.190534i	$0.938978\pi$
$368$	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	0.739825	−	0.672799i	$-0.234908\pi$
$373$	1.29450	+	1.29450i	0.0670265	+	0.0670265i	−0.672799	+	0.739825i	$0.734908\pi$
$374$	−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	−0.787688	−	0.616074i	$-0.788722\pi$
$379$	−22.0027	−	30.2841i	−1.13020	−	1.55559i	−0.342512	−	0.939513i	$-0.611278\pi$
$380$	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	0.363766	+	0.931490i	$0.381491\pi$
$383$	−5.28483	+	33.3671i	−0.270042	+	1.70498i	−0.633809	+	0.773490i	$0.718509\pi$
$384$	−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	0.447200	−	0.894434i	$-0.352421\pi$
$389$	−5.23184	−	3.80115i	−0.265265	−	0.192726i	−0.712465	+	0.701708i	$0.752421\pi$
$390$	−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	−0.856809	−	0.515635i	$-0.827556\pi$
$397$	−6.79785	+	6.79785i	−0.341174	+	0.341174i	0.515635	+	0.856809i	$0.327556\pi$
$398$	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	−0.303706	−	0.952766i	$-0.598224\pi$
$401$	0.212516	−	0.0690507i	0.0106125	−	0.00344823i	0.314318	+	0.949318i	$0.398224\pi$
$402$	−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	0.353550	−	0.935416i	$-0.384974\pi$
$419$	1.83723	+	0.596953i	0.0897547	+	0.0291631i	−0.263795	+	0.964579i	$0.584974\pi$
$420$	5.33790	+	1.79582i	0.260463	+	0.0876270i
$421$	4.11006	−	12.6495i	0.200312	−	0.616497i	−0.799561	−	0.600584i	$-0.794935\pi$
$421$	4.11006	−	12.6495i	0.200312	−	0.616497i	0.999873	−	0.0159125i	$-0.00506530\pi$
$422$	−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	0.344877	+	0.938648i	$0.387921\pi$
$431$	−10.0867	+	31.0436i	−0.485858	+	1.49532i	−0.830735	+	0.556669i	$0.812079\pi$
$432$	−0.318159	+	0.624421i	−0.0153074	+	0.0300425i
$433$	−4.48470	+	4.48470i	−0.215521	+	0.215521i	−0.806608	−	0.591087i	$-0.798699\pi$
$433$	−4.48470	+	4.48470i	−0.215521	+	0.215521i	0.591087	+	0.806608i	$0.298699\pi$
$434$	−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	$-0.905321\pi$
$439$		−	12.2813i		−	0.586153i	0.956089	−	0.293076i	$-0.0946790\pi$
$440$	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	−0.532324	−	0.846541i	$-0.678681\pi$
$443$	−6.05432	−	38.2255i	−0.287649	−	1.81615i	0.244674	−	0.969605i	$-0.421319\pi$
$444$	−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	−0.670919	−	0.741531i	$-0.734100\pi$
$449$	6.52061	−	20.0684i	0.307727	−	0.947086i	0.978646	−	0.205555i	$-0.0658999\pi$
$450$	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	−0.999800	−	0.0199933i	$-0.993636\pi$
$457$	−1.17816	−	7.43860i	−0.0551120	−	0.347963i	0.944688	−	0.327970i	$-0.106364\pi$
$458$	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	0.894442	−	0.447183i	$-0.147573\pi$
$461$	4.13847	+	5.69612i	0.192748	+	0.265295i	−0.701694	+	0.712478i	$0.747573\pi$
$462$	−3.20273	−	6.28571i	−0.149004	−	0.292438i
$463$	11.0032	+	5.60642i	0.511363	+	0.260552i	0.690578	−	0.723257i	$-0.257356\pi$
$463$	11.0032	+	5.60642i	0.511363	+	0.260552i	−0.179216	+	0.983810i	$0.557356\pi$
$464$	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	0.143557	−	0.989642i	$-0.454146\pi$
$467$	−12.3761	−	6.30595i	−0.572699	−	0.291805i	−0.716256	+	0.697837i	$0.754146\pi$
$468$	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	−0.986677	−	0.162690i	$-0.947983\pi$
$479$	−11.5351	+	15.8766i	−0.527050	+	0.725422i	0.459627	+	0.888112i	$0.347983\pi$
$480$	−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	−0.915076	−	0.403282i	$-0.867870\pi$
$487$	−3.73851	−	23.6040i	−0.169408	−	1.06960i	0.745668	−	0.666318i	$-0.232130\pi$
$488$	−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	$0.139813\pi$
$491$			18.8457i			0.850496i	−0.905077	+	0.425248i	$0.860187\pi$
$492$	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	−0.352623	−	0.935765i	$-0.614710\pi$
$499$	10.7823	−	33.1846i	0.482684	−	1.48555i	0.835307	−	0.549783i	$-0.185290\pi$
$500$	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	0.413849	−	0.910346i	$-0.364184\pi$
$503$	11.7999	+	1.86891i	0.526130	+	0.0833308i	0.112281	+	0.993676i	$0.464184\pi$
$504$	−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	−0.367131	−	0.930169i	$-0.619660\pi$
$509$	10.7531	−	33.0947i	0.476624	−	1.46690i	0.843755	−	0.536728i	$-0.180340\pi$
$510$	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	0.251812	+	0.967776i	$0.418974\pi$
$523$	−6.55739	+	41.4017i	−0.286735	+	1.81037i	−0.538547	+	0.842596i	$0.681026\pi$
$524$	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	0.969182	−	0.246348i	$-0.0792305\pi$
$541$	24.0592	+	17.4800i	1.03438	+	0.751524i	0.0652031	+	0.997872i	$0.479230\pi$
$542$	−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	−0.999887	−	0.0150026i	$-0.995224\pi$
$547$	−1.03613	+	6.54190i	−0.0443019	+	0.279711i	0.955586	+	0.294714i	$0.0952243\pi$
$548$	−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	−0.999926	−	0.0121942i	$-0.996118\pi$
$557$	−23.8869	−	23.8869i	−1.01212	−	1.01212i	−0.0121942	−	0.999926i	$-0.503882\pi$
$558$	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	0.999825	+	0.0187179i	$0.00595844\pi$
$563$	24.1676	+	24.1676i	1.01854	+	1.01854i	0.0187179	+	0.999825i	$0.494042\pi$
$564$	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	−0.892848	−	0.450358i	$-0.851296\pi$
$569$	−17.6622	+	12.8323i	−0.740438	+	0.537960i	0.152410	+	0.988317i	$0.451296\pi$
$570$	2.92290	+	4.11207i	0.122427	+	0.172235i
$571$	11.5032	+	3.73762i	0.481395	+	0.156415i	0.539654	−	0.841887i	$-0.318555\pi$
$571$	11.5032	+	3.73762i	0.481395	+	0.156415i	−0.0582594	+	0.998301i	$0.518555\pi$
$572$	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	0.172234	−	0.985056i	$-0.444902\pi$
$577$	−12.5739	−	6.40670i	−0.523457	−	0.266715i	−0.695691	+	0.718342i	$0.744902\pi$
$578$	−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	−0.446387	−	0.894840i	$-0.647289\pi$
$587$	13.0816	−	25.6740i	0.539934	−	1.05968i	0.986320	−	0.164839i	$-0.0527106\pi$
$588$	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	−0.545883	−	0.837861i	$-0.683806\pi$
$593$	−32.2406	−	5.10641i	−1.32396	−	0.209695i	−0.778079	+	0.628166i	$0.783806\pi$
$594$			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	0.0876654	−	0.996150i	$-0.472059\pi$
$599$	18.2117	−	5.91735i	0.744111	−	0.241776i	0.656445	+	0.754374i	$0.272059\pi$
$600$	−4.86189	+	13.9703i	−0.198486	+	0.570335i
$601$	24.1873	−	7.85894i	0.986622	−	0.320573i	0.229114	−	0.973400i	$-0.426417\pi$
$601$	24.1873	−	7.85894i	0.986622	−	0.320573i	0.757507	+	0.652827i	$0.226417\pi$
$602$	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	0.632612	−	0.774469i	$-0.281983\pi$
$607$	−9.01202	−	17.6871i	−0.365787	−	0.717896i	−0.998398	+	0.0565724i	$0.981983\pi$
$608$	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	−0.691204	−	0.722660i	$-0.742919\pi$
$613$	4.69141	−	29.6204i	0.189484	−	1.19636i	0.880688	−	0.473697i	$-0.157081\pi$
$614$		−	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	−0.999070	−	0.0431209i	$-0.986270\pi$
$617$	−11.0962	−	21.7776i	−0.446717	−	0.876731i	0.552353	−	0.833610i	$-0.313730\pi$
$618$	−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	0.991574	−	0.129540i	$-0.0413501\pi$
$631$	14.1163	+	19.4294i	0.561961	+	0.773473i	−0.429613	+	0.903013i	$0.641350\pi$
$632$	−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	−0.0245478	−	0.999699i	$-0.507815\pi$
$641$	13.7527	−	4.46854i	0.543201	−	0.176497i	0.567749	+	0.823202i	$0.307815\pi$
$642$	0.286748	+	1.81046i	0.0113170	+	0.0714530i
$643$	−15.5825	+	2.46803i	−0.614515	+	0.0973296i	−0.455930	−	0.890016i	$-0.650693\pi$
$643$	−15.5825	+	2.46803i	−0.614515	+	0.0973296i	−0.158585	+	0.987345i	$0.550693\pi$
$644$	−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	−0.586328	−	0.810074i	$-0.699427\pi$
$647$	−35.4653	−	5.61715i	−1.39429	−	0.220833i	−0.807958	+	0.589241i	$0.799427\pi$
$648$	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	−0.930365	−	0.366635i	$-0.880510\pi$
$653$	−2.22052	+	4.35802i	−0.0868958	+	0.170543i	0.843469	+	0.537178i	$0.180510\pi$
$654$	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	−0.924011	−	0.382365i	$-0.875110\pi$
$659$	−7.05504	+	9.71043i	−0.274825	+	0.378265i	0.649186	+	0.760630i	$0.275110\pi$
$660$	−6.71530	+	3.33433i	−0.261393	+	0.129789i
$661$	−11.8382	−	36.4343i	−0.460453	−	1.41713i	−0.864612	−	0.502440i	$-0.832436\pi$
$661$	−11.8382	−	36.4343i	−0.460453	−	1.41713i	0.404159	−	0.914689i	$-0.367564\pi$
$662$	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	−0.812988	−	0.582281i	$-0.802160\pi$
$673$	−36.4813	+	5.77807i	−1.40625	+	0.222728i	−0.593262	+	0.805009i	$0.702160\pi$
$674$	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	0.642658	−	0.766153i	$-0.277832\pi$
$677$	−3.21327	−	3.21327i	−0.123496	−	0.123496i	−0.766153	+	0.642658i	$0.777832\pi$
$678$	−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	0.816793	−	0.576931i	$-0.195750\pi$
$683$	6.26862	+	6.26862i	0.239862	+	0.239862i	−0.576931	+	0.816793i	$0.695750\pi$
$684$	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	0.730278	−	0.683150i	$-0.239390\pi$
$691$	8.04990	+	5.84859i	0.306233	+	0.222491i	−0.424046	+	0.905641i	$0.639390\pi$
$692$	−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	0.830592	−	0.556881i	$-0.188002\pi$
$701$	−4.46650	−	13.7465i	−0.168697	−	0.519197i	−0.999290	+	0.0376839i	$0.988002\pi$
$702$	−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	−0.480127	−	0.877199i	$-0.659409\pi$
$709$	5.47910	−	3.98080i	0.205772	−	0.149502i	0.685899	+	0.727697i	$0.259409\pi$
$710$	−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	−0.686447	−	0.727180i	$-0.740831\pi$
$727$	−30.0525	+	4.75985i	−1.11459	+	0.176533i	−0.428139	+	0.903713i	$0.640831\pi$
$728$	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	−0.758494	−	0.651680i	$-0.774064\pi$
$733$	−45.5180	−	7.20934i	−1.68124	−	0.266283i	−0.922751	+	0.385397i	$0.874064\pi$
$734$	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	−0.604725	−	0.796434i	$-0.706717\pi$
$743$	5.22560	−	5.22560i	0.191709	−	0.191709i	0.796434	+	0.604725i	$0.206717\pi$
$744$	−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	−0.837025	−	0.547165i	$-0.815707\pi$
$751$	−15.7656	+	11.4544i	−0.575296	+	0.417977i	0.261730	+	0.965141i	$0.415707\pi$
$752$	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	−0.316579	−	0.948566i	$-0.602534\pi$
$757$	7.28416	−	3.71147i	0.264747	−	0.134895i	0.581326	+	0.813671i	$0.302534\pi$
$758$	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	−0.163123	−	0.986606i	$-0.552157\pi$
$761$	22.7753	−	31.3475i	0.825603	−	1.13634i	0.988726	−	0.149739i	$-0.0478433\pi$
$762$	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	$-0.938715\pi$
$769$		−	10.6123i		−	0.382690i	0.981523	−	0.191345i	$-0.0612849\pi$
$770$	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	0.642237	−	0.766506i	$-0.278006\pi$
$773$	11.1105	+	5.66110i	0.399618	+	0.203616i	−0.242619	+	0.970122i	$0.578006\pi$
$774$	−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	−0.714488	−	0.699648i	$-0.753340\pi$
$787$	7.61666	−	14.9485i	0.271505	−	0.532858i	0.985992	+	0.166790i	$0.0533403\pi$
$788$	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	0.908234	+	0.418462i	$0.137431\pi$
$797$	4.90556	+	30.9725i	0.173764	+	1.09710i	−0.734470	+	0.678641i	$0.762569\pi$
$798$	−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	−0.992710	−	0.120524i	$-0.961542\pi$
$809$	−3.37755	+	10.3950i	−0.118748	+	0.365470i	0.873962	+	0.485994i	$0.161542\pi$
$810$	−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	0.555455	−	0.831547i	$-0.312544\pi$
$821$	14.7866	+	4.80446i	0.516056	+	0.167677i	−0.0393988	+	0.999224i	$0.512544\pi$
$822$	−4.20839	−	8.25944i	−0.146785	−	0.288081i
$823$	8.41383	−	1.33262i	0.293288	−	0.0464522i	−0.00805679	−	0.999968i	$-0.502565\pi$
$823$	8.41383	−	1.33262i	0.293288	−	0.0464522i	0.301344	+	0.953515i	$0.402565\pi$
$824$	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	−0.953944	−	0.299984i	$-0.903019\pi$
$827$	−4.32910	+	8.49633i	−0.150537	+	0.295446i	0.803407	+	0.595431i	$0.203019\pi$
$828$	9.65260	−	1.52882i	0.335451	−	0.0531302i
$829$	40.3922	+	29.3467i	1.40288	+	1.01925i	0.994310	+	0.106525i	$0.0339726\pi$
$829$	40.3922	+	29.3467i	1.40288	+	1.01925i	0.408570	+	0.912727i	$0.366027\pi$
$830$	−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	−0.603577	−	0.797304i	$-0.706259\pi$
$839$	−18.0524	+	5.86558i	−0.623238	+	0.202502i	−0.0196606	+	0.999807i	$0.506259\pi$
$840$	−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	−0.369701	−	0.929151i	$-0.620540\pi$
$853$	4.81002	−	2.45083i	0.164692	−	0.0839148i	0.534394	+	0.845236i	$0.320540\pi$
$854$	−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	−0.973730	−	0.227705i	$-0.926878\pi$
$857$	0.664733	−	4.19696i	0.0227069	−	0.143365i	0.996437	+	0.0843392i	$0.0268779\pi$
$858$	3.89503	+	1.98461i	0.132974	+	0.0677536i
$859$	19.7996	+	14.3853i	0.675554	+	0.490819i	0.871880	−	0.489720i	$-0.162901\pi$
$859$	19.7996	+	14.3853i	0.675554	+	0.490819i	−0.196326	+	0.980539i	$0.562901\pi$
$860$	−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	−0.484321	−	0.874890i	$-0.660933\pi$
$863$	11.4737	−	11.4737i	0.390569	−	0.390569i	0.874890	+	0.484321i	$0.160933\pi$
$864$	−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	−0.562862	−	0.826551i	$-0.690300\pi$
$877$	−24.9576	+	3.95289i	−0.842757	+	0.133480i	−0.279895	+	0.960031i	$0.590300\pi$
$878$	−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	−0.422972	−	0.906143i	$-0.639013\pi$
$881$	−38.5203	−	12.5160i	−1.29778	−	0.421675i	−0.874809	+	0.484468i	$0.839013\pi$
$882$	1.42112	−	0.225084i	0.0478517	−	0.00757897i
$883$	−23.8859	−	46.8787i	−0.803824	−	1.57759i	−0.816269	−	0.577672i	$-0.803961\pi$
$883$	−23.8859	−	46.8787i	−0.803824	−	1.57759i	0.0124447	−	0.999923i	$-0.496039\pi$
$884$	−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	0.429566	−	0.903035i	$-0.358666\pi$
$887$	−1.44480	−	0.736163i	−0.0485117	−	0.0247179i	−0.478078	+	0.878317i	$0.658666\pi$
$888$	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	0.432026	−	0.901861i	$-0.357799\pi$
$907$	33.7785	−	5.34999i	1.12160	−	0.177644i	0.689571	+	0.724218i	$0.257799\pi$
$908$	−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	−0.807996	−	0.589188i	$-0.799448\pi$
$911$	−33.6648	+	10.9383i	−1.11536	+	0.362403i	−0.307367	+	0.951591i	$0.599448\pi$
$912$	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	0.474419	−	0.880299i	$-0.342658\pi$
$919$	−15.4424	−	21.2547i	−0.509399	−	0.701128i	−0.983818	+	0.179171i	$0.942658\pi$
$920$	−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	0.860739	+	0.509047i	$0.170002\pi$
$937$	−3.52561	+	22.2598i	−0.115177	+	0.727197i	−0.975915	+	0.218150i	$0.929998\pi$
$938$	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	0.852827	−	0.522193i	$-0.174886\pi$
$941$	2.84224	+	3.91201i	0.0926543	+	0.127528i	−0.760173	+	0.649721i	$0.774886\pi$
$942$	−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	−0.475156	−	0.879901i	$-0.657608\pi$
$947$	−9.08308	−	57.3483i	−0.295160	−	1.86357i	0.179996	−	0.983667i	$-0.442392\pi$
$948$	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	−0.112273	−	0.993677i	$-0.535813\pi$
$953$	2.71702	−	0.430334i	0.0880131	−	0.0139399i	0.200286	+	0.979738i	$0.435813\pi$
$954$	−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	0.620983	−	0.783824i	$-0.286734\pi$
$967$	−5.06381	−	5.06381i	−0.162841	−	0.162841i	−0.783824	+	0.620983i	$0.786734\pi$
$968$	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	0.897673	−	0.440663i	$-0.145257\pi$
$971$	−2.72891	−	8.39873i	−0.0875750	−	0.269528i	−0.985248	+	0.171135i	$0.945257\pi$
$972$	−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	0.997699	−	0.0678063i	$-0.0216000\pi$
$977$	11.1403	+	21.8641i	0.356410	+	0.699493i	−0.641289	+	0.767300i	$0.721600\pi$
$978$	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	0.00361102	−	0.999993i	$-0.498851\pi$
$983$	9.90938	−	1.56949i	0.316060	−	0.0500590i	0.312449	+	0.949934i	$0.398851\pi$
$984$	−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	$-0.764972\pi$
$991$		−	42.3772i		−	1.34616i	0.739572	−	0.673078i	$-0.235028\pi$
$992$	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	−0.693193	−	0.720752i	$-0.743797\pi$
$997$	0.870184	−	0.870184i	0.0275590	−	0.0275590i	0.720752	+	0.693193i	$0.243797\pi$
$998$	−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.58.11	✓	256
5.2	odd	4	inner	465.2.bk.a.337.22	yes	256
31.23	odd	10	inner	465.2.bk.a.178.22	yes	256
155.147	even	20	inner	465.2.bk.a.457.11	yes	256

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
465.2.bk.a.58.11	✓	256	1.1	even	1	trivial
465.2.bk.a.178.22	yes	256	31.23	odd	10	inner
465.2.bk.a.337.22	yes	256	5.2	odd	4	inner
465.2.bk.a.457.11	yes	256	155.147	even	20	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:	\( N \)	\(=\)	\( 465 = 3 \cdot 5 \cdot 31 \)
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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