LMFDB - Embedded newform 966.2.t.a.41.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [966,2,Mod(41,966)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(966, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 11, 12]))

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

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

chi := DirichletCharacter("966.41");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 966 = 2 \cdot 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	966.t (of order $22$, degree $10$, 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:	$7.71354883526$
Analytic rank:	$0$
Dimension:	$640$
Relative dimension:	$64$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			41.10
Character	$\chi$	$=$	966.41
Dual form			966.2.t.a.377.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.281733 + 0.959493i) q^{2} +(-0.927012 + 1.46310i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.216850 + 1.50823i) q^{5} +(-1.14266 - 1.30166i) q^{6} +(-0.318183 - 2.62655i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-1.28130 - 2.71261i) q^{9} +O(q^{10})$	\(q+(-0.281733 + 0.959493i) q^{2} +(-0.927012 + 1.46310i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.216850 + 1.50823i) q^{5} +(-1.14266 - 1.30166i) q^{6} +(-0.318183 - 2.62655i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-1.28130 - 2.71261i) q^{9} +(-1.38604 - 0.632983i) q^{10} +(0.121183 + 0.412712i) q^{11} +(1.57086 - 0.729654i) q^{12} +(-1.55023 - 0.707964i) q^{13} +(2.60980 + 0.434690i) q^{14} +(-2.00566 - 1.71542i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.56944 - 1.65128i) q^{17} +(2.96372 - 0.465166i) q^{18} +(-0.501678 + 0.780626i) q^{19} +(0.997835 - 1.15156i) q^{20} +(4.13785 + 1.96931i) q^{21} -0.430136 q^{22} +(0.913579 - 4.70801i) q^{23} +(0.257535 + 1.71280i) q^{24} +(2.56974 + 0.754544i) q^{25} +(1.11604 - 1.28797i) q^{26} +(5.15659 + 0.639961i) q^{27} +(-1.15235 + 2.38162i) q^{28} +(-4.42233 - 6.88129i) q^{29} +(2.21099 - 1.44113i) q^{30} +(7.73868 - 6.70560i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-0.716176 - 0.205286i) q^{33} +(0.860494 + 2.93057i) q^{34} +(4.03043 + 0.0896760i) q^{35} +(-0.388652 + 2.97472i) q^{36} +(-0.367541 - 2.55630i) q^{37} +(-0.607666 - 0.701284i) q^{38} +(2.47290 - 1.61184i) q^{39} +(0.823794 + 1.28185i) q^{40} +(-1.33404 + 9.27846i) q^{41} +(-3.05531 + 3.41542i) q^{42} +(-2.03785 + 2.35180i) q^{43} +(0.121183 - 0.412712i) q^{44} +(4.36909 - 1.34426i) q^{45} +(4.25992 + 2.20297i) q^{46} +7.83524 q^{47} +(-1.71597 - 0.235447i) q^{48} +(-6.79752 + 1.67145i) q^{49} +(-1.44796 + 2.25307i) q^{50} +(0.0340786 + 5.29008i) q^{51} +(0.921378 + 1.43369i) q^{52} +(-1.98194 + 0.905123i) q^{53} +(-2.06682 + 4.76742i) q^{54} +(-0.648742 + 0.0932751i) q^{55} +(-1.96049 - 1.77665i) q^{56} +(-0.677070 - 1.45765i) q^{57} +(7.84846 - 2.30452i) q^{58} +(-0.649687 + 1.42262i) q^{59} +(0.759843 + 2.52744i) q^{60} +(-0.742445 + 0.643332i) q^{61} +(4.25374 + 9.31439i) q^{62} +(-6.71713 + 4.22850i) q^{63} +(0.142315 - 0.989821i) q^{64} +(1.40394 - 2.18457i) q^{65} +(0.398741 - 0.629330i) q^{66} +(8.25857 + 2.42493i) q^{67} -3.05429 q^{68} +(6.04137 + 5.70103i) q^{69} +(-1.22155 + 3.84191i) q^{70} +(-0.0809130 + 0.275564i) q^{71} +(-2.74473 - 1.21098i) q^{72} +(2.63196 - 4.09541i) q^{73} +(2.55630 + 0.367541i) q^{74} +(-3.48615 + 3.06031i) q^{75} +(0.844077 - 0.385477i) q^{76} +(1.04545 - 0.449612i) q^{77} +(0.849851 + 2.82683i) q^{78} +(4.21328 - 9.22580i) q^{79} +(-1.46201 + 0.429286i) q^{80} +(-5.71655 + 6.95134i) q^{81} +(-8.52678 - 3.89405i) q^{82} +(1.25459 + 8.72590i) q^{83} +(-2.41629 - 3.89378i) q^{84} +(1.93332 + 4.23337i) q^{85} +(-1.68241 - 2.61788i) q^{86} +(14.1675 - 0.0912670i) q^{87} +(0.361853 + 0.232549i) q^{88} +(2.29080 - 2.64373i) q^{89} +(0.0588928 + 4.57083i) q^{90} +(-1.36625 + 4.29700i) q^{91} +(-3.31389 + 3.46671i) q^{92} +(2.63710 + 17.5386i) q^{93} +(-2.20744 + 7.51786i) q^{94} +(-1.06857 - 0.925923i) q^{95} +(0.709356 - 1.58013i) q^{96} +(-8.37359 - 1.20394i) q^{97} +(0.311342 - 6.99307i) q^{98} +(0.964257 - 0.857531i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) $ 640 * q + 64 * q^4 + 8 * q^9	$ 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) $ 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/966\mathbb{Z}\right)^\times$.

$n$	$323$	$829$	$925$
$\chi(n)$	$-1$	$-1$	$e\left(\frac{6}{11}\right)$

Coefficient data

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

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

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

$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$2$	−0.281733	+	0.959493i	−0.199215	+	0.678464i
$3$	−0.927012	+	1.46310i	−0.535210	+	0.844719i
$3$	−0.927012	+	1.46310i	−0.535210	+	0.844719i
$4$	−0.841254	−	0.540641i	−0.420627	−	0.270320i
$5$	−0.216850	+	1.50823i	−0.0969784	+	0.674500i	0.882107	+	0.471049i	$0.156125\pi$
$5$	−0.216850	+	1.50823i	−0.0969784	+	0.674500i	−0.979085	+	0.203450i	$0.934784\pi$
$6$	−1.14266	−	1.30166i	−0.466489	−	0.531402i
$7$	−0.318183	−	2.62655i	−0.120262	−	0.992742i
$7$	−0.318183	−	2.62655i	−0.120262	−	0.992742i
$8$	0.755750	−	0.654861i	0.267198	−	0.231528i
$9$	−1.28130	−	2.71261i	−0.427100	−	0.904205i
$10$	−1.38604	−	0.632983i	−0.438304	−	0.200167i
$11$	0.121183	+	0.412712i	0.0365381	+	0.124437i	0.975743	−	0.218921i	$-0.0702537\pi$
$11$	0.121183	+	0.412712i	0.0365381	+	0.124437i	−0.939204	+	0.343358i	$0.888435\pi$
$12$	1.57086	−	0.729654i	0.453469	−	0.210633i
$13$	−1.55023	−	0.707964i	−0.429955	−	0.196354i	0.188669	−	0.982041i	$-0.439583\pi$
$13$	−1.55023	−	0.707964i	−0.429955	−	0.196354i	−0.618625	+	0.785687i	$0.712310\pi$
$14$	2.60980	+	0.434690i	0.697498	+	0.116176i
$15$	−2.00566	−	1.71542i	−0.517859	−	0.442919i
$16$	0.415415	+	0.909632i	0.103854	+	0.227408i
$17$	2.56944	−	1.65128i	0.623180	−	0.400493i	−0.190599	−	0.981668i	$-0.561043\pi$
$17$	2.56944	−	1.65128i	0.623180	−	0.400493i	0.813779	+	0.581175i	$0.197407\pi$
$18$	2.96372	−	0.465166i	0.698555	−	0.109641i
$19$	−0.501678	+	0.780626i	−0.115093	+	0.179088i	−0.894021	−	0.448025i	$-0.852127\pi$
$19$	−0.501678	+	0.780626i	−0.115093	+	0.179088i	0.778928	+	0.627113i	$0.215764\pi$
$20$	0.997835	−	1.15156i	0.223123	−	0.257497i
$21$	4.13785	+	1.96931i	0.902953	+	0.429739i
$22$	−0.430136			−0.0917052
$23$	0.913579	−	4.70801i	0.190494	−	0.981688i
$23$	0.913579	−	4.70801i	0.190494	−	0.981688i
$24$	0.257535	+	1.71280i	0.0525692	+	0.349623i
$25$	2.56974	+	0.754544i	0.513948	+	0.150909i
$26$	1.11604	−	1.28797i	0.218873	−	0.252592i
$27$	5.15659	+	0.639961i	0.992387	+	0.123160i
$28$	−1.15235	+	2.38162i	−0.217773	+	0.450083i
$29$	−4.42233	−	6.88129i	−0.821207	−	1.27782i	−0.957869	−	0.287205i	$-0.907274\pi$
$29$	−4.42233	−	6.88129i	−0.821207	−	1.27782i	0.136662	−	0.990618i	$-0.456363\pi$
$30$	2.21099	−	1.44113i	0.403670	−	0.263112i
$31$	7.73868	−	6.70560i	1.38991	−	1.20436i	0.437620	−	0.899160i	$-0.355822\pi$
$31$	7.73868	−	6.70560i	1.38991	−	1.20436i	0.952288	−	0.305201i	$-0.0987238\pi$
$32$	−0.989821	+	0.142315i	−0.174977	+	0.0251579i
$33$	−0.716176	−	0.205286i	−0.124670	−	0.0357358i
$34$	0.860494	+	2.93057i	0.147574	+	0.502589i
$35$	4.03043	+	0.0896760i	0.681267	+	0.0151580i
$36$	−0.388652	+	2.97472i	−0.0647754	+	0.495786i
$37$	−0.367541	−	2.55630i	−0.0604233	−	0.420253i	−0.997472	−	0.0710556i	$-0.977363\pi$
$37$	−0.367541	−	2.55630i	−0.0604233	−	0.420253i	0.937049	−	0.349198i	$-0.113546\pi$
$38$	−0.607666	−	0.701284i	−0.0985765	−	0.113763i
$39$	2.47290	−	1.61184i	0.395980	−	0.258101i
$40$	0.823794	+	1.28185i	0.130253	+	0.202678i
$41$	−1.33404	+	9.27846i	−0.208342	+	1.44905i	0.570224	+	0.821489i	$0.306857\pi$
$41$	−1.33404	+	9.27846i	−0.208342	+	1.44905i	−0.778566	+	0.627563i	$0.784053\pi$
$42$	−3.05531	+	3.41542i	−0.471444	+	0.527011i
$43$	−2.03785	+	2.35180i	−0.310768	+	0.358646i	−0.889551	−	0.456836i	$-0.848983\pi$
$43$	−2.03785	+	2.35180i	−0.310768	+	0.358646i	0.578782	+	0.815482i	$0.303528\pi$
$44$	0.121183	−	0.412712i	0.0182691	−	0.0622187i
$45$	4.36909	−	1.34426i	0.651305	−	0.200390i
$46$	4.25992	+	2.20297i	0.628091	+	0.324811i
$47$	7.83524			1.14289			0.571444	−	0.820641i	$-0.306384\pi$
$47$	7.83524			1.14289			0.571444	+	0.820641i	$0.306384\pi$
$48$	−1.71597	−	0.235447i	−0.247679	−	0.0339839i
$49$	−6.79752	+	1.67145i	−0.971074	+	0.238778i
$50$	−1.44796	+	2.25307i	−0.204772	+	0.318632i
$51$	0.0340786	+	5.29008i	0.00477196	+	0.740760i
$52$	0.921378	+	1.43369i	0.127772	+	0.198817i
$53$	−1.98194	+	0.905123i	−0.272241	+	0.124328i	−0.546858	−	0.837225i	$-0.684176\pi$
$53$	−1.98194	+	0.905123i	−0.272241	+	0.124328i	0.274617	+	0.961554i	$0.411449\pi$
$54$	−2.06682	+	4.76742i	−0.281258	+	0.648763i
$55$	−0.648742	+	0.0932751i	−0.0874764	+	0.0125772i
$56$	−1.96049	−	1.77665i	−0.261982	−	0.237415i
$57$	−0.677070	−	1.45765i	−0.0896800	−	0.193071i
$58$	7.84846	−	2.30452i	1.03055	−	0.302598i
$59$	−0.649687	+	1.42262i	−0.0845820	+	0.185209i	−0.947197	−	0.320652i	$-0.896098\pi$
$59$	−0.649687	+	1.42262i	−0.0845820	+	0.185209i	0.862615	+	0.505861i	$0.168825\pi$
$60$	0.759843	+	2.52744i	0.0980953	+	0.326291i
$61$	−0.742445	+	0.643332i	−0.0950604	+	0.0823703i	−0.701095	−	0.713068i	$-0.747305\pi$
$61$	−0.742445	+	0.643332i	−0.0950604	+	0.0823703i	0.606034	+	0.795439i	$0.292759\pi$
$62$	4.25374	+	9.31439i	0.540226	+	1.18293i
$63$	−6.71713	+	4.22850i	−0.846278	+	0.532741i
$64$	0.142315	−	0.989821i	0.0177894	−	0.123728i
$65$	1.40394	−	2.18457i	0.174137	−	0.270962i
$66$	0.398741	−	0.629330i	0.0490816	−	0.0774651i
$67$	8.25857	+	2.42493i	1.00894	+	0.296253i	0.744122	−	0.668044i	$-0.232868\pi$
$67$	8.25857	+	2.42493i	1.00894	+	0.296253i	0.264823	+	0.964297i	$0.414686\pi$
$68$	−3.05429			−0.370388
$69$	6.04137	+	5.70103i	0.727296	+	0.686324i
$70$	−1.22155	+	3.84191i	−0.146003	+	0.459195i
$71$	−0.0809130	+	0.275564i	−0.00960261	+	0.0327035i	−0.964155	−	0.265340i	$-0.914516\pi$
$71$	−0.0809130	+	0.275564i	−0.00960261	+	0.0327035i	0.954552	+	0.298043i	$0.0963340\pi$
$72$	−2.74473	−	1.21098i	−0.323469	−	0.142716i
$73$	2.63196	−	4.09541i	0.308048	−	0.479332i	−0.652368	−	0.757902i	$-0.726224\pi$
$73$	2.63196	−	4.09541i	0.308048	−	0.479332i	0.960416	+	0.278571i	$0.0898606\pi$
$74$	2.55630	+	0.367541i	0.297164	+	0.0427257i
$75$	−3.48615	+	3.06031i	−0.402546	+	0.353374i
$76$	0.844077	−	0.385477i	0.0968222	−	0.0442172i
$77$	1.04545	−	0.449612i	0.119140	−	0.0512380i
$78$	0.849851	+	2.82683i	0.0962267	+	0.320076i
$79$	4.21328	−	9.22580i	0.474031	−	1.03798i	−0.510031	−	0.860156i	$-0.670366\pi$
$79$	4.21328	−	9.22580i	0.474031	−	1.03798i	0.984062	−	0.177827i	$-0.0569068\pi$
$80$	−1.46201	+	0.429286i	−0.163458	+	0.0479957i
$81$	−5.71655	+	6.95134i	−0.635172	+	0.772371i
$82$	−8.52678	−	3.89405i	−0.941625	−	0.430026i
$83$	1.25459	+	8.72590i	0.137710	+	0.957791i	0.935114	+	0.354346i	$0.115297\pi$
$83$	1.25459	+	8.72590i	0.137710	+	0.957791i	−0.797405	+	0.603445i	$0.793794\pi$
$84$	−2.41629	−	3.89378i	−0.263639	−	0.424846i
$85$	1.93332	+	4.23337i	0.209698	+	0.459174i
$86$	−1.68241	−	2.61788i	−0.181419	−	0.282293i
$87$	14.1675	−	0.0912670i	1.51892	−	0.00978484i
$88$	0.361853	+	0.232549i	0.0385737	+	0.0247898i
$89$	2.29080	−	2.64373i	0.242824	−	0.280234i	−0.621235	−	0.783624i	$-0.713369\pi$
$89$	2.29080	−	2.64373i	0.242824	−	0.280234i	0.864059	+	0.503390i	$0.167914\pi$
$90$	0.0588928	+	4.57083i	0.00620785	+	0.481808i
$91$	−1.36625	+	4.29700i	−0.143222	+	0.450448i
$92$	−3.31389	+	3.46671i	−0.345497	+	0.361430i
$93$	2.63710	+	17.5386i	0.273454	+	1.81867i
$94$	−2.20744	+	7.51786i	−0.227680	+	0.775408i
$95$	−1.06857	−	0.925923i	−0.109633	−	0.0949977i
$96$	0.709356	−	1.58013i	0.0723983	−	0.161271i
$97$	−8.37359	−	1.20394i	−0.850209	−	0.122242i	−0.296583	−	0.955007i	$-0.595847\pi$
$97$	−8.37359	−	1.20394i	−0.850209	−	0.122242i	−0.553626	+	0.832765i	$0.686756\pi$
$98$	0.311342	−	6.99307i	0.0314503	−	0.706407i
$99$	0.964257	−	0.857531i	0.0969114	−	0.0861851i
$100$	−1.75387	−	2.02407i	−0.175387	−	0.202407i
$101$	−1.54431	−	10.7409i	−0.153665	−	1.06876i	−0.910009	−	0.414589i	$-0.863925\pi$
$101$	−1.54431	−	10.7409i	−0.153665	−	1.06876i	0.756344	−	0.654174i	$-0.226984\pi$
$102$	−5.08540	−	1.45769i	−0.503530	−	0.144333i
$103$	0.00324931	+	0.0110661i	0.000320164	+	0.00109038i	0.959653	−	0.281187i	$-0.0907282\pi$
$103$	0.00324931	+	0.0110661i	0.000320164	+	0.00109038i	−0.959333	+	0.282278i	$0.908910\pi$
$104$	−1.63520	+	0.480138i	−0.160345	+	0.0470814i
$105$	−3.86746	+	5.81378i	−0.377425	+	0.567366i
$106$	−0.310081	−	2.15666i	−0.0301178	−	0.209474i
$107$	−1.48422	+	1.28609i	−0.143485	+	0.124331i	−0.723646	−	0.690171i	$-0.757535\pi$
$107$	−1.48422	+	1.28609i	−0.143485	+	0.124331i	0.580161	+	0.814502i	$0.302990\pi$
$108$	−3.99201	−	3.32623i	−0.384132	−	0.320067i
$109$	15.7001	−	10.0899i	1.50380	−	0.966434i	0.509426	−	0.860514i	$-0.329858\pi$
$109$	15.7001	−	10.0899i	1.50380	−	0.966434i	0.994375	−	0.105920i	$-0.0337786\pi$
$110$	0.0932751	−	0.648742i	0.00889343	−	0.0618552i
$111$	4.08083	+	1.83197i	0.387335	+	0.173883i
$112$	2.25702	−	1.38054i	0.213268	−	0.130449i
$113$	4.15139	−	14.1383i	0.390530	−	1.33002i	−0.496390	−	0.868100i	$-0.665341\pi$
$113$	4.15139	−	14.1383i	0.390530	−	1.33002i	0.886920	−	0.461924i	$-0.152841\pi$
$114$	1.58936	−	0.238975i	0.148857	−	0.0223821i
$115$	6.90264	+	2.39882i	0.643675	+	0.223691i
$116$			8.17980i			0.759475i
$117$	0.0658691	+	5.11228i	0.00608960	+	0.472630i
$118$	−1.18195	−	1.02417i	−0.108808	−	0.0942822i
$119$	−5.15471	−	6.22334i	−0.472531	−	0.570493i
$120$	−2.63913	+	0.0170012i	−0.240919	+	0.00155199i
$121$	9.09814	−	5.84702i	0.827104	−	0.531547i
$122$	−0.408102	−	0.893619i	−0.0369478	−	0.0809044i
$123$	−12.3386	−	10.5531i	−1.11253	−	0.951538i
$124$	−10.1355	+	1.45727i	−0.910196	+	0.130866i
$125$	−4.86019	+	10.6423i	−0.434708	+	0.951879i
$126$	−2.16479	−	7.63634i	−0.192854	−	0.680299i
$127$	0.710193	−	0.208532i	0.0630195	−	0.0185042i	−0.250071	−	0.968228i	$-0.580454\pi$
$127$	0.710193	−	0.208532i	0.0630195	−	0.0185042i	0.313090	+	0.949723i	$0.398636\pi$
$128$	0.909632	+	0.415415i	0.0804009	+	0.0367178i
$129$	−1.55180	−	5.16171i	−0.136628	−	0.454463i
$130$	1.70054	+	1.96253i	0.149148	+	0.172125i
$131$	−3.84858	−	8.42722i	−0.336252	−	0.736290i	0.663679	−	0.748018i	$-0.268994\pi$
$131$	−3.84858	−	8.42722i	−0.336252	−	0.736290i	−0.999931	+	0.0117277i	$0.996267\pi$
$132$	0.491499	+	0.559892i	0.0427795	+	0.0487323i
$133$	2.20998	+	1.06930i	0.191629	+	0.0927200i
$134$	−4.65342	+	7.24086i	−0.401994	+	0.625515i
$135$	−2.08341	+	7.63854i	−0.179312	+	0.657421i
$136$	0.860494	−	2.93057i	0.0737868	−	0.251295i
$137$		−	16.8560i		−	1.44011i	−0.693917	−	0.720055i	$-0.744117\pi$
$137$		−	16.8560i		−	1.44011i	0.693917	−	0.720055i	$-0.255883\pi$
$138$	−7.17215	+	4.19049i	−0.610534	+	0.356718i
$139$		−	6.81251i		−	0.577829i	−0.957355	−	0.288915i	$-0.906706\pi$
$139$		−	6.81251i		−	0.577829i	0.957355	−	0.288915i	$-0.0932944\pi$
$140$	−3.34213	−	2.25446i	−0.282462	−	0.190536i
$141$	−7.26336	+	11.4637i	−0.611685	+	0.965419i
$142$	−0.241606	−	0.155271i	−0.0202752	−	0.0130301i
$143$	0.104324	−	0.725590i	0.00872402	−	0.0606769i
$144$	1.93521	−	2.29237i	0.161267	−	0.191031i
$145$	11.3375	−	5.17768i	0.941530	−	0.429983i
$146$	3.18801	+	3.67916i	0.263842	+	0.304489i
$147$	3.85589	−	11.4949i	0.318029	−	0.948081i
$148$	−1.07285	+	2.34921i	−0.0881874	+	0.193104i
$149$	2.44655	+	8.33220i	0.200430	+	0.682600i	0.996954	+	0.0779938i	$0.0248514\pi$
$149$	2.44655	+	8.33220i	0.200430	+	0.682600i	−0.796524	+	0.604606i	$0.793330\pi$
$150$	−1.95418	−	4.20712i	−0.159558	−	0.343510i
$151$	3.59185	−	7.86504i	0.292300	−	0.640048i	−0.705328	−	0.708881i	$-0.749200\pi$
$151$	3.59185	−	7.86504i	0.292300	−	0.640048i	0.997628	+	0.0688329i	$0.0219275\pi$
$152$	0.132058	+	0.918487i	0.0107114	+	0.0744991i
$153$	−7.77149	−	4.85411i	−0.628288	−	0.392431i
$154$	0.136862	+	1.12977i	0.0110286	+	0.0910397i
$155$	8.43544	+	13.1258i	0.677550	+	1.05429i
$156$	−2.95176	+	0.0190152i	−0.236330	+	0.00152243i
$157$	−9.23376	+	14.3680i	−0.736934	+	1.14669i	0.247148	+	0.968978i	$0.420507\pi$
$157$	−9.23376	+	14.3680i	−0.736934	+	1.14669i	−0.984082	+	0.177714i	$0.943130\pi$
$158$	7.66507	+	6.64182i	0.609800	+	0.528395i
$159$	0.513002	−	3.73883i	0.0406837	−	0.296509i
$160$		−	1.52374i		−	0.120462i
$161$	−12.6565	−	0.901552i	−0.997473	−	0.0710522i
$162$	−5.05922	−	7.44340i	−0.397490	−	0.584809i
$163$	6.08420	+	1.78648i	0.476551	+	0.139928i	0.511183	−	0.859472i	$-0.329208\pi$
$163$	6.08420	+	1.78648i	0.476551	+	0.139928i	−0.0346315	+	0.999400i	$0.511026\pi$
$164$	6.13858	−	7.08430i	0.479343	−	0.553191i
$165$	0.464921	−	1.03564i	0.0361941	−	0.0806244i
$166$	−8.72590	−	1.25459i	−0.677261	−	0.0973754i
$167$	−9.06520	+	5.82585i	−0.701486	+	0.450818i	−0.842153	−	0.539239i	$-0.818712\pi$
$167$	−9.06520	+	5.82585i	−0.701486	+	0.450818i	0.140666	+	0.990057i	$0.455076\pi$
$168$	4.41680	−	1.22141i	0.340764	−	0.0942340i
$169$	−6.61120	−	7.62974i	−0.508554	−	0.586903i
$170$	−4.60657	+	0.662325i	−0.353308	+	0.0507980i
$171$	2.76034	+	0.360643i	0.211088	+	0.0275790i
$172$	2.98582	−	0.876717i	0.227667	−	0.0668490i
$173$	−21.6015	+	6.34277i	−1.64233	+	0.482232i	−0.966892	−	0.255184i	$-0.917864\pi$
$173$	−21.6015	+	6.34277i	−1.64233	+	0.482232i	−0.675439	+	0.737416i	$0.736046\pi$
$174$	−3.90389	+	13.6194i	−0.295953	+	1.03248i
$175$	1.16420	−	6.98963i	0.0880052	−	0.528366i
$176$	−0.325075	+	0.281679i	−0.0245034	+	0.0212324i
$177$	−1.47916	−	2.26934i	−0.111180	−	0.170574i
$178$	1.89124	+	2.94283i	0.141755	+	0.220574i
$179$	10.0992	+	1.45205i	0.754850	+	0.108531i	0.508988	−	0.860774i	$-0.330020\pi$
$179$	10.0992	+	1.45205i	0.754850	+	0.108531i	0.245862	+	0.969305i	$0.420929\pi$
$180$	−4.40227	−	1.23124i	−0.328126	−	0.0917715i
$181$	−8.81444	−	7.63775i	−0.655172	−	0.567710i	0.262557	−	0.964916i	$-0.415434\pi$
$181$	−8.81444	−	7.63775i	−0.655172	−	0.567710i	−0.917729	+	0.397207i	$0.869980\pi$
$182$	−3.73803	−	2.52151i	−0.277081	−	0.186907i
$183$	−0.253002	−	1.68265i	−0.0187024	−	0.124385i
$184$	−2.39265	−	4.15634i	−0.176389	−	0.306410i
$185$	3.93519			0.289321
$186$	−17.5711	−	2.41092i	−1.28838	−	0.176777i
$187$	0.992874	+	0.860331i	0.0726062	+	0.0629136i
$188$	−6.59142	−	4.23605i	−0.480729	−	0.308946i
$189$	0.0401488	−	13.7477i	0.00292040	−	0.999996i
$190$	1.18947	−	0.764425i	0.0862931	−	0.0554572i
$191$	22.3632	−	10.2129i	1.61814	−	0.738982i	0.619215	−	0.785222i	$-0.287451\pi$
$191$	22.3632	−	10.2129i	1.61814	−	0.738982i	0.998930	+	0.0462398i	$0.0147238\pi$
$192$	1.31628	+	1.12580i	0.0949941	+	0.0812473i
$193$	2.76167	+	19.2078i	0.198789	+	1.38261i	0.807804	+	0.589451i	$0.200656\pi$
$193$	2.76167	+	19.2078i	0.198789	+	1.38261i	−0.609015	+	0.793159i	$0.708435\pi$
$194$	3.51428	−	7.69521i	0.252311	−	0.552484i
$195$	1.89477	+	4.07922i	0.135687	+	0.292119i
$196$	6.62209	+	2.26891i	0.473006	+	0.162065i
$197$	−10.4329	−	4.76454i	−0.743312	−	0.339459i	0.00750301	−	0.999972i	$-0.497612\pi$
$197$	−10.4329	−	4.76454i	−0.743312	−	0.339459i	−0.750815	+	0.660513i	$0.770339\pi$
$198$	0.551132	+	1.16679i	0.0391673	+	0.0829203i
$199$	15.8357	−	13.7217i	1.12256	−	0.972706i	0.122757	−	0.992437i	$-0.460827\pi$
$199$	15.8357	−	13.7217i	1.12256	−	0.972706i	0.999805	+	0.0197312i	$0.00628105\pi$
$200$	2.43620	−	1.11258i	0.172265	−	0.0786710i
$201$	−11.2037	+	9.83514i	−0.790248	+	0.693717i
$202$	10.7409	+	1.54431i	0.755729	+	0.108657i
$203$	−16.6669	+	13.8050i	−1.16979	+	0.968920i
$204$	2.83137	−	4.46873i	0.198235	−	0.312873i
$205$	−13.7047	−	4.02407i	−0.957181	−	0.281054i
$206$	−0.0115333			−0.000803564
$207$	−13.9416	+	3.55418i	−0.969007	+	0.247033i
$208$		−	1.70423i		−	0.118167i
$209$	−0.382969	−	0.112450i	−0.0264905	−	0.00777831i
$210$	−4.48869	−	5.34873i	−0.309749	−	0.369097i
$211$	−0.297851	−	0.191417i	−0.0205049	−	0.0131777i	0.530348	−	0.847780i	$-0.322061\pi$
$211$	−0.297851	−	0.191417i	−0.0205049	−	0.0131777i	−0.550853	+	0.834602i	$0.685698\pi$
$212$	2.15666	+	0.310081i	0.148120	+	0.0212965i
$213$	−0.328170	−	0.373835i	−0.0224858	−	0.0256148i
$214$	−0.815837	−	1.78643i	−0.0557694	−	0.122118i
$215$	−3.10514	−	3.58352i	−0.211769	−	0.244394i
$216$	4.31618	−	2.89320i	0.293679	−	0.196857i
$217$	−20.0749	−	18.1924i	−1.36277	−	1.23498i
$218$	5.25792	+	17.9068i	0.356111	+	1.21280i
$219$	3.55212	+	7.64731i	0.240030	+	0.516757i
$220$	0.596185	+	0.272269i	0.0401948	+	0.0183563i
$221$	−5.15225	+	0.740782i	−0.346578	+	0.0498304i
$222$	−2.90747	+	3.39940i	−0.195137	+	0.228153i
$223$	18.4921	−	8.44505i	1.23832	−	0.565522i	0.314832	−	0.949147i	$-0.398052\pi$
$223$	18.4921	−	8.44505i	1.23832	−	0.565522i	0.923489	+	0.383625i	$0.125325\pi$
$224$	0.688741	+	2.55453i	0.0460184	+	0.170682i
$225$	−1.24582	−	7.93751i	−0.0830547	−	0.529167i
$226$	12.3961	+	7.96646i	0.824574	+	0.529921i
$227$	9.63829	−	11.1232i	0.639716	−	0.738271i	−0.339609	−	0.940567i	$-0.610295\pi$
$227$	9.63829	−	11.1232i	0.639716	−	0.738271i	0.979325	+	0.202295i	$0.0648401\pi$
$228$	−0.218479	+	1.59231i	−0.0144691	+	0.105453i
$229$			4.22436i			0.279154i	0.990211	+	0.139577i	$0.0445742\pi$
$229$			4.22436i			0.279154i	−0.990211	+	0.139577i	$0.955426\pi$
$230$	−4.24635	+	5.94721i	−0.279996	+	0.392147i
$231$	−0.311320	+	1.94639i	−0.0204833	+	0.128063i
$232$	−7.84846	−	2.30452i	−0.515277	−	0.151299i
$233$	−9.60056	−	8.31893i	−0.628954	−	0.544991i	0.280997	−	0.959709i	$-0.409335\pi$
$233$	−9.60056	−	8.31893i	−0.628954	−	0.544991i	−0.909950	+	0.414717i	$0.863880\pi$
$234$	−4.92375	−	1.37709i	−0.321876	−	0.0900234i
$235$	−1.69907	+	11.8173i	−0.110835	+	0.770877i
$236$	1.31568	−	0.845533i	0.0856432	−	0.0550395i
$237$	9.59247	+	14.7169i	0.623098	+	0.955962i
$238$	7.42350	−	3.19259i	0.481194	−	0.206945i
$239$	−6.48528	+	0.932443i	−0.419498	+	0.0603147i	−0.348832	−	0.937185i	$-0.613422\pi$
$239$	−6.48528	+	0.932443i	−0.419498	+	0.0603147i	−0.0706662	+	0.997500i	$0.522513\pi$
$240$	0.727218	−	2.53702i	0.0469417	−	0.163764i
$241$	−2.11706	−	7.21006i	−0.136372	−	0.464441i	0.862781	−	0.505577i	$-0.168720\pi$
$241$	−2.11706	−	7.21006i	−0.136372	−	0.464441i	−0.999154	+	0.0411364i	$0.986902\pi$
$242$	3.04693	+	10.3769i	0.195864	+	0.667052i
$243$	−4.87117	−	14.8078i	−0.312486	−	0.949922i
$244$	0.972397	−	0.139810i	0.0622513	−	0.00895039i
$245$	−1.04688	−	10.6147i	−0.0668824	−	0.678146i
$246$	13.6018	−	8.86566i	0.867218	−	0.565254i
$247$	1.33037	−	0.854976i	0.0846493	−	0.0544008i
$248$	1.45727	−	10.1355i	0.0925365	−	0.643606i
$249$	−13.9298	−	6.25341i	−0.882768	−	0.396294i
$250$	−8.84196	−	7.66161i	−0.559215	−	0.484562i
$251$	0.494181	+	0.145105i	0.0311924	+	0.00915893i	0.297292	−	0.954787i	$-0.403917\pi$
$251$	0.494181	+	0.145105i	0.0311924	+	0.00915893i	−0.266099	+	0.963946i	$0.585735\pi$
$252$	7.93691	+	0.0743098i	0.499978	+	0.00468108i
$253$	2.05376	−	0.193487i	0.129119	−	0.0121644i
$254$			0.740176i			0.0464427i
$255$	−7.98604	−	1.09576i	−0.500105	−	0.0686190i
$256$	−0.654861	+	0.755750i	−0.0409288	+	0.0472343i
$257$	10.5282	+	6.76603i	0.656728	+	0.422053i	0.826119	−	0.563495i	$-0.190544\pi$
$257$	10.5282	+	6.76603i	0.656728	+	0.422053i	−0.169391	+	0.985549i	$0.554180\pi$
$258$	5.38982	−	0.0347211i	0.335555	−	0.00216164i
$259$	−6.59731	+	1.77874i	−0.409937	+	0.110525i
$260$	−2.36213	+	1.07875i	−0.146493	+	0.0669013i
$261$	−12.9999	+	20.8131i	−0.804676	+	1.28830i
$262$	9.17013	−	1.31847i	0.566533	−	0.0814551i
$263$	−26.3232	−	12.0214i	−1.62316	−	0.741272i	−0.623967	−	0.781451i	$-0.714480\pi$
$263$	−26.3232	−	12.0214i	−1.62316	−	0.741272i	−0.999192	+	0.0401791i	$0.987207\pi$
$264$	−0.675683	+	0.313850i	−0.0415854	+	0.0193162i
$265$	−0.935346	−	3.18550i	−0.0574578	−	0.195683i
$266$	−1.64861	+	1.81920i	−0.101083	+	0.111542i
$267$	1.74442	+	5.80242i	0.106757	+	0.355103i
$268$	−5.63653	−	6.50490i	−0.344306	−	0.397350i
$269$	−8.58938	−	18.8081i	−0.523704	−	1.14675i	−0.968018	−	0.250881i	$-0.919280\pi$
$269$	−8.58938	−	18.8081i	−0.523704	−	1.14675i	0.444314	−	0.895871i	$-0.353447\pi$
$270$	−6.74216	−	4.15105i	−0.410315	−	0.252625i
$271$	24.1387	+	3.47062i	1.46632	+	0.210825i	0.828772	−	0.559586i	$-0.189040\pi$
$271$	24.1387	+	3.47062i	1.46632	+	0.210825i	0.637548	+	0.770411i	$0.279949\pi$
$272$	2.56944	+	1.65128i	0.155795	+	0.100123i
$273$	−5.02040	−	5.98232i	−0.303849	−	0.362067i
$274$	16.1733	+	4.74890i	0.977062	+	0.286891i
$275$			1.15200i			0.0694683i
$276$	−2.00012	−	8.06223i	−0.120393	−	0.485289i
$277$	0.546383			0.0328290			0.0164145	−	0.999865i	$-0.494775\pi$
$277$	0.546383			0.0328290			0.0164145	+	0.999865i	$0.494775\pi$
$278$	6.53655	+	1.91930i	0.392036	+	0.115112i
$279$	−28.1053	−	12.4002i	−1.68262	−	0.742378i
$280$	3.10472	−	2.57160i	0.185543	−	0.153682i
$281$	11.2717	+	1.62063i	0.672415	+	0.0966787i	0.470061	−	0.882634i	$-0.344232\pi$
$281$	11.2717	+	1.62063i	0.672415	+	0.0966787i	0.202354	+	0.979313i	$0.435141\pi$
$282$	−8.95302	−	10.1988i	−0.533145	−	0.607332i
$283$	18.1199	−	8.27506i	1.07711	−	0.491901i	0.203776	−	0.979017i	$-0.434678\pi$
$283$	18.1199	−	8.27506i	1.07711	−	0.491901i	0.873337	+	0.487116i	$0.161951\pi$
$284$	0.217050	−	0.188075i	0.0128795	−	0.0111602i
$285$	2.34529	−	0.705082i	0.138923	−	0.0417655i
$286$	0.666807	+	0.304521i	0.0394291	+	0.0180067i
$287$	24.7948	+	0.551678i	1.46359	+	0.0325645i
$288$	1.65430	+	2.50266i	0.0974807	+	0.147470i
$289$	−3.18677	+	6.97805i	−0.187457	+	0.410473i
$290$	1.77379	+	12.3370i	0.104161	+	0.724453i
$291$	9.52389	−	11.1353i	0.558301	−	0.652763i
$292$	−4.42829	+	2.02233i	−0.259146	+	0.118348i
$293$	−9.36864	+	6.02086i	−0.547322	+	0.351742i	−0.784896	−	0.619627i	$-0.787284\pi$
$293$	−9.36864	+	6.02086i	−0.547322	+	0.351742i	0.237575	+	0.971369i	$0.423648\pi$
$294$	9.94292	+	6.93818i	0.579883	+	0.404643i
$295$	−2.00474	−	1.28837i	−0.116721	−	0.0750118i
$296$	−1.95179	−	1.69124i	−0.113446	−	0.0983011i
$297$	0.360773	+	2.20574i	0.0209342	+	0.127990i
$298$	−8.68396			−0.503048
$299$	−4.74936	+	6.65170i	−0.274662	+	0.384678i
$300$	4.58726	−	0.689738i	0.264846	−	0.0398221i
$301$	6.82552	+	4.60420i	0.393417	+	0.265382i
$302$	6.53451	+	5.66219i	0.376019	+	0.325822i
$303$	17.1466	+	7.69749i	0.985047	+	0.442209i
$304$	−0.918487	−	0.132058i	−0.0526788	−	0.00757407i
$305$	−0.809292	−	1.25928i	−0.0463399	−	0.0721063i
$306$	6.84697	−	6.08913i	0.391415	−	0.348092i
$307$	−13.2466	+	11.4782i	−0.756021	+	0.655096i	−0.945069	−	0.326872i	$-0.894005\pi$
$307$	−13.2466	+	11.4782i	−0.756021	+	0.655096i	0.189048	+	0.981968i	$0.439460\pi$
$308$	−1.12257	−	0.186976i	−0.0639642	−	0.0106539i
$309$	−0.0192030	−	0.00550438i	−0.00109242	−	0.000313133i
$310$	−14.9706	+	4.39578i	−0.850275	+	0.249663i
$311$	−9.66305	+	2.83733i	−0.547941	+	0.160890i	−0.543974	−	0.839102i	$-0.683081\pi$
$311$	−9.66305	+	2.83733i	−0.547941	+	0.160890i	−0.00396733	+	0.999992i	$0.501263\pi$
$312$	0.813361	−	2.83755i	0.0460475	−	0.160645i
$313$	−27.5231	+	3.95722i	−1.55570	+	0.223675i	−0.865859	−	0.500289i	$-0.833227\pi$
$313$	−27.5231	+	3.95722i	−1.55570	+	0.223675i	−0.689838	+	0.723964i	$0.742318\pi$
$314$	−11.1846	−	12.9077i	−0.631181	−	0.728421i
$315$	−4.92093	−	11.0479i	−0.277263	−	0.622479i
$316$	−8.53228	+	5.48336i	−0.479978	+	0.308463i
$317$	5.02176	+	0.722020i	0.282050	+	0.0405527i	0.281888	−	0.959447i	$-0.409039\pi$
$317$	5.02176	+	0.722020i	0.282050	+	0.0405527i	0.000162081		1.00000i	$0.499948\pi$
$318$	3.44285	+	1.54557i	0.193066	+	0.0866714i
$319$	2.30408	−	2.65905i	0.129004	−	0.148878i
$320$	1.46201	+	0.429286i	0.0817291	+	0.0239978i
$321$	−0.505776	−	3.36378i	−0.0282297	−	0.187748i
$322$	4.43078	−	11.8898i	0.246918	−	0.662595i
$323$			2.83418i			0.157698i
$324$	8.56724	−	2.75724i	0.475958	−	0.153180i
$325$	−3.44949	−	2.98900i	−0.191343	−	0.165800i
$326$	−3.42823	+	5.33444i	−0.189872	+	0.295447i
$327$	0.208232	+	32.3242i	0.0115153	+	1.78753i
$328$	5.06790	+	7.88580i	0.279828	+	0.435421i
$329$	−2.49304	−	20.5796i	−0.137446	−	1.13459i
$330$	0.862705	+	0.737862i	0.0474904	+	0.0406180i
$331$	−3.76977	−	26.2193i	−0.207205	−	1.44114i	−0.782221	−	0.623001i	$-0.785913\pi$
$331$	−3.76977	−	26.2193i	−0.207205	−	1.44114i	0.575016	−	0.818142i	$-0.304996\pi$
$332$	3.66214	−	8.01898i	0.200986	−	0.440098i
$333$	−6.46333	+	4.27238i	−0.354188	+	0.234125i
$334$	−3.03590	−	10.3393i	−0.166117	−	0.565743i
$335$	−5.44823	+	11.9300i	−0.297668	+	0.651803i
$336$	−0.0724208	+	4.58200i	−0.00395088	+	0.249969i
$337$	7.39582	+	8.53523i	0.402876	+	0.464943i	0.920545	−	0.390638i	$-0.127745\pi$
$337$	7.39582	+	8.53523i	0.402876	+	0.464943i	−0.517669	+	0.855581i	$0.673200\pi$
$338$	9.18327	−	4.19386i	0.499504	−	0.228116i
$339$	16.8374	+	19.1803i	0.914480	+	1.04173i
$340$	0.662325	−	4.60657i	0.0359196	−	0.249826i
$341$	3.70528	+	2.38124i	0.200652	+	0.128951i
$342$	−1.12371	+	2.54692i	−0.0607633	+	0.137722i
$343$	6.55299	+	17.3222i	0.353828	+	0.935310i
$344$			3.11188i			0.167781i
$345$	−9.90853	+	7.87549i	−0.533457	+	0.424002i
$346$		−	22.5134i		−	1.21033i
$347$	−5.65677	+	19.2652i	−0.303671	+	1.03421i	0.656391	+	0.754421i	$0.272082\pi$
$347$	−5.65677	+	19.2652i	−0.303671	+	1.03421i	−0.960062	+	0.279788i	$0.909736\pi$
$348$	−11.9678	−	7.58277i	−0.641543	−	0.406479i
$349$	−3.12351	+	4.86028i	−0.167198	+	0.260165i	−0.914734	−	0.404056i	$-0.867600\pi$
$349$	−3.12351	+	4.86028i	−0.167198	+	0.260165i	0.747536	+	0.664221i	$0.231237\pi$
$350$	6.37851	+	3.08625i	0.340946	+	0.164967i
$351$	−7.54081	−	4.64277i	−0.402499	−	0.247813i
$352$	−0.178685	−	0.391265i	−0.00952393	−	0.0208545i
$353$	−19.6367	−	22.6620i	−1.04516	−	1.20618i	−0.978037	−	0.208431i	$-0.933164\pi$
$353$	−19.6367	−	22.6620i	−1.04516	−	1.20618i	−0.0671205	−	0.997745i	$-0.521381\pi$
$354$	2.59414	−	0.779894i	0.137877	−	0.0414509i
$355$	−0.398068	−	0.181791i	−0.0211272	−	0.00964849i
$356$	−3.35645	+	0.985543i	−0.177891	+	0.0522337i
$357$	13.8838	−	1.77272i	0.734810	−	0.0938225i
$358$	−4.23850	+	9.28102i	−0.224012	+	0.490517i
$359$	−3.90466	+	0.561406i	−0.206080	+	0.0296299i	−0.244582	−	0.969629i	$-0.578651\pi$
$359$	−3.90466	+	0.561406i	−0.206080	+	0.0296299i	0.0385016	+	0.999259i	$0.487742\pi$
$360$	2.42163	−	3.87707i	0.127631	−	0.204339i
$361$	7.53519	+	16.4998i	0.396589	+	0.868409i
$362$	9.81169	−	6.30559i	0.515691	−	0.331414i
$363$	0.120669	+	18.7317i	0.00633349	+	0.983160i
$364$	3.47250	−	2.87622i	0.182008	−	0.150755i
$365$	5.60607	+	4.85769i	0.293435	+	0.254263i
$366$	1.68577	+	0.231303i	0.0881164	+	0.0120904i
$367$			30.6314i			1.59895i	0.600702	+	0.799473i	$0.294888\pi$
$367$			30.6314i			1.59895i	−0.600702	+	0.799473i	$0.705112\pi$
$368$	4.66207	−	1.12476i	0.243027	−	0.0586321i
$369$	26.8782	−	8.26975i	1.39922	−	0.430506i
$370$	−1.10867	+	3.77578i	−0.0576370	+	0.196294i
$371$	3.00797	+	4.91767i	0.156166	+	0.255313i
$372$	7.26362	−	16.1801i	0.376601	−	0.838901i
$373$	−3.45987	+	24.0639i	−0.179145	+	1.24598i	0.679601	+	0.733582i	$0.262153\pi$
$373$	−3.45987	+	24.0639i	−0.179145	+	1.24598i	−0.858746	+	0.512401i	$0.828756\pi$
$374$	−1.10521	+	0.710273i	−0.0571489	+	0.0367273i
$375$	−11.0653	−	16.9765i	−0.571409	−	0.876662i
$376$	5.92148	−	5.13099i	0.305377	−	0.264611i
$377$	1.98391	+	13.7984i	0.102177	+	0.710654i
$378$	13.1795	+	3.91169i	0.677879	+	0.201196i
$379$	1.79039	−	0.525706i	0.0919662	−	0.0270037i	−0.235426	−	0.971892i	$-0.575648\pi$
$379$	1.79039	−	0.525706i	0.0919662	−	0.0270037i	0.327392	+	0.944889i	$0.393830\pi$
$380$	0.398348	+	1.35665i	0.0204348	+	0.0695947i
$381$	−0.353256	+	1.23239i	−0.0180978	+	0.0631374i
$382$	3.49880	+	24.3347i	0.179014	+	1.24507i
$383$	3.04125	+	3.50979i	0.155400	+	0.179342i	0.828111	−	0.560564i	$-0.189416\pi$
$383$	3.04125	+	3.50979i	0.155400	+	0.179342i	−0.672711	+	0.739906i	$0.734870\pi$
$384$	−1.45103	+	0.945784i	−0.0740476	+	0.0482644i
$385$	0.451410	+	1.67427i	0.0230060	+	0.0853290i
$386$	−19.2078	−	2.76167i	−0.977653	−	0.140565i
$387$	8.99061	+	2.51453i	0.457018	+	0.127821i
$388$	6.39341	+	5.53992i	0.324576	+	0.281247i
$389$	10.4854	−	35.7099i	0.531630	−	1.81057i	−0.0521311	−	0.998640i	$-0.516601\pi$
$389$	10.4854	−	35.7099i	0.531630	−	1.81057i	0.583761	−	0.811925i	$-0.301580\pi$
$390$	−4.44780	+	0.668769i	−0.225223	+	0.0338644i
$391$	−5.42685	−	13.6055i	−0.274447	−	0.688060i
$392$	−4.04266	+	5.71462i	−0.204185	+	0.288632i
$393$	15.8975	+	2.18129i	0.801924	+	0.110031i
$394$	7.51082	−	8.66795i	0.378390	−	0.436685i
$395$	13.0009	+	8.35520i	0.654149	+	0.420396i
$396$	−1.27480	+	0.200084i	−0.0640611	+	0.0100546i
$397$	10.6360	+	16.5499i	0.533806	+	0.830618i	0.998494	−	0.0548564i	$-0.0174701\pi$
$397$	10.6360	+	16.5499i	0.533806	+	0.830618i	−0.464689	+	0.885474i	$0.653834\pi$
$398$	8.70445	+	19.0601i	0.436314	+	0.955395i
$399$	−3.61316	+	2.24216i	−0.180884	+	0.112248i
$400$	0.381151	+	2.65097i	0.0190576	+	0.132548i
$401$	9.64495	+	4.40470i	0.481646	+	0.219960i	0.641415	−	0.767194i	$-0.278348\pi$
$401$	9.64495	+	4.40470i	0.481646	+	0.219960i	−0.159769	+	0.987154i	$0.551075\pi$
$402$	−6.28030	−	13.5208i	−0.313233	−	0.674354i
$403$	−16.7440	+	4.91649i	−0.834079	+	0.244908i
$404$	−4.50783	+	9.87077i	−0.224273	+	0.491089i
$405$	−9.24456	−	10.1292i	−0.459366	−	0.503326i
$406$	−8.55017	−	19.8811i	−0.424338	−	0.986683i
$407$	1.01048	−	0.461469i	0.0500875	−	0.0228742i
$408$	3.49002	+	3.97566i	0.172782	+	0.196825i
$409$	−17.6009	−	2.53062i	−0.870306	−	0.125131i	−0.307329	−	0.951603i	$-0.599435\pi$
$409$	−17.6009	−	2.53062i	−0.870306	−	0.125131i	−0.562977	+	0.826472i	$0.690344\pi$
$410$	7.72214	−	12.0159i	0.381369	−	0.593422i
$411$	24.6620	+	15.6258i	1.21649	+	0.770762i
$412$	0.00324931	−	0.0110661i	0.000160082	−	0.000545189i
$413$	3.94329	+	1.25378i	0.194037	+	0.0616946i
$414$	0.517584	−	14.3782i	0.0254378	−	0.706649i
$415$	−13.4327			−0.659385
$416$	1.63520	+	0.480138i	0.0801723	+	0.0235407i
$417$	9.96735	+	6.31527i	0.488103	+	0.309260i
$418$	0.215790	−	0.335775i	0.0105546	−	0.0164233i
$419$	−0.916393	+	6.37366i	−0.0447687	+	0.311373i	0.955117	+	0.296230i	$0.0957295\pi$
$419$	−0.916393	+	6.37366i	−0.0447687	+	0.311373i	−0.999885	+	0.0151433i	$0.995180\pi$
$420$	6.39668	−	2.79995i	0.312126	−	0.136624i
$421$	−7.00289	−	15.3342i	−0.341300	−	0.747342i	0.658687	−	0.752417i	$-0.271112\pi$
$421$	−7.00289	−	15.3342i	−0.341300	−	0.747342i	−0.999987	+	0.00507443i	$0.998385\pi$
$422$	0.267578	−	0.231858i	0.0130255	−	0.0112867i
$423$	−10.0393	−	21.2540i	−0.488127	−	1.03340i
$424$	−0.905123	+	1.98194i	−0.0439567	+	0.0962516i
$425$	7.84874	−	2.30460i	0.380720	−	0.111789i
$426$	0.451148	−	0.209555i	0.0218582	−	0.0101530i
$427$	1.92598	+	1.74537i	0.0932046	+	0.0844644i
$428$	1.94392	−	0.279493i	0.0939628	−	0.0135098i
$429$	0.964898	+	0.825267i	0.0465857	+	0.0398443i
$430$	4.31318	−	1.96976i	0.208000	−	0.0949905i
$431$	5.15793	+	8.02590i	0.248449	+	0.386594i	0.942970	−	0.332879i	$-0.108020\pi$
$431$	5.15793	+	8.02590i	0.248449	+	0.386594i	−0.694521	+	0.719473i	$0.744384\pi$
$432$	1.56000	+	4.95645i	0.0750554	+	0.238467i
$433$	−21.5001	+	33.4548i	−1.03323	+	1.60773i	−0.268613	+	0.963248i	$0.586565\pi$
$433$	−21.5001	+	33.4548i	−1.03323	+	1.60773i	−0.764616	+	0.644487i	$0.777071\pi$
$434$	23.1112	−	14.1363i	1.10938	−	0.678566i
$435$	−2.93458	+	21.3877i	−0.140703	+	1.02546i
$436$	−18.6628			−0.893786
$437$	3.21687	+	3.07507i	0.153884	+	0.147100i
$438$	−8.33829	+	1.25374i	−0.398419	+	0.0599061i
$439$	−6.15516	+	20.9626i	−0.293770	+	1.00049i	0.671884	+	0.740657i	$0.265485\pi$
$439$	−6.15516	+	20.9626i	−0.293770	+	1.00049i	−0.965654	+	0.259832i	$0.916333\pi$
$440$	−0.429205	+	0.495328i	−0.0204615	+	0.0236139i
$441$	13.2436	+	16.2974i	0.630650	+	0.776068i
$442$	0.740782	−	5.15225i	0.0352354	−	0.245068i
$443$	−9.29031	−	14.4560i	−0.441396	−	0.686826i	0.547270	−	0.836956i	$-0.315667\pi$
$443$	−9.29031	−	14.4560i	−0.441396	−	0.686826i	−0.988666	+	0.150130i	$0.952031\pi$
$444$	−2.44257	−	3.74742i	−0.115919	−	0.177845i
$445$	3.49058	+	4.02834i	0.165469	+	0.190962i
$446$	2.89314	+	20.1223i	0.136994	+	0.952817i
$447$	−14.4588	−	4.14450i	−0.683877	−	0.196028i
$448$	−2.64510	−	0.0588527i	−0.124969	−	0.00278053i
$449$	5.14485	+	17.5218i	0.242801	+	0.826903i	0.987244	+	0.159217i	$0.0508969\pi$
$449$	5.14485	+	17.5218i	0.242801	+	0.826903i	−0.744443	+	0.667686i	$0.767285\pi$
$450$	7.96697	+	1.04090i	0.375567	+	0.0490684i
$451$	−3.99100	+	0.573819i	−0.187929	+	0.0270201i
$452$	−11.1361	+	9.64952i	−0.523800	+	0.453875i
$453$	8.17763	+	12.5462i	0.384219	+	0.589472i
$454$	7.95719	+	12.3816i	0.373450	+	0.581099i
$455$	−6.18459	−	2.99242i	−0.289938	−	0.140287i
$456$	−1.46625	−	0.658234i	−0.0686636	−	0.0308246i
$457$	−12.0847	+	13.9465i	−0.565298	+	0.652389i	−0.964378	−	0.264527i	$-0.914784\pi$
$457$	−12.0847	+	13.9465i	−0.565298	+	0.652389i	0.399080	+	0.916916i	$0.369330\pi$
$458$	−4.05325	−	1.19014i	−0.189396	−	0.0556116i
$459$	14.3063	−	6.87062i	0.667760	−	0.320693i
$460$	−4.50997	−	5.74986i	−0.210279	−	0.268089i
$461$	29.4723			1.37266			0.686331	−	0.727289i	$-0.259220\pi$
$461$	29.4723			1.37266			0.686331	+	0.727289i	$0.259220\pi$
$462$	−1.77984	−	0.847070i	−0.0828056	−	0.0394093i
$463$	4.90129	−	5.65640i	0.227782	−	0.262875i	−0.630341	−	0.776318i	$-0.717085\pi$
$463$	4.90129	−	5.65640i	0.227782	−	0.262875i	0.858123	+	0.513443i	$0.171630\pi$
$464$	4.42233	−	6.88129i	0.205302	−	0.319456i
$465$	−27.0240	+	0.174088i	−1.25321	+	0.00807315i
$466$	10.6867	−	6.86796i	0.495054	−	0.318152i
$467$	12.4582	+	27.2796i	0.576495	+	1.26235i	0.943267	+	0.332037i	$0.107736\pi$
$467$	12.4582	+	27.2796i	0.576495	+	1.26235i	−0.366772	+	0.930311i	$0.619537\pi$
$468$	2.70849	−	4.33633i	0.125200	−	0.200447i
$469$	3.74148	−	22.4631i	0.172765	−	1.03725i
$470$	−10.8600	−	4.95958i	−0.500932	−	0.228768i
$471$	−12.4620	−	26.8292i	−0.574217	−	1.23622i
$472$	0.440615	+	1.50060i	0.0202809	+	0.0690705i
$473$	−1.21757	−	0.556045i	−0.0559839	−	0.0255670i
$474$	−16.8232	+	5.05769i	−0.772716	+	0.232307i
$475$	−1.87820	+	1.62747i	−0.0861776	+	0.0746734i
$476$	0.971824	+	8.02225i	0.0445435	+	0.367699i
$477$	4.99471	+	4.21651i	0.228692	+	0.193061i
$478$	0.932443	−	6.48528i	0.0426489	−	0.296630i
$479$	−2.15764	−	1.38663i	−0.0985851	−	0.0633568i	0.490419	−	0.871487i	$-0.336844\pi$
$479$	−2.15764	−	1.38663i	−0.0985851	−	0.0633568i	−0.589004	+	0.808130i	$0.700480\pi$
$480$	2.22937	+	1.41252i	0.101756	+	0.0644725i
$481$	−1.24000	+	4.22305i	−0.0565391	+	0.192554i
$482$	7.51444			0.342274
$483$	13.0518	−	17.6819i	0.593877	−	0.804556i
$484$	−10.8150			−0.491590
$485$	3.63163	−	12.3682i	0.164904	−	0.561611i
$486$	15.5804	−	0.502009i	0.706740	−	0.0227716i
$487$	−1.88959	−	1.21437i	−0.0856257	−	0.0550283i	0.497127	−	0.867678i	$-0.334388\pi$
$487$	−1.88959	−	1.21437i	−0.0856257	−	0.0550283i	−0.582753	+	0.812649i	$0.698025\pi$
$488$	−0.139810	+	0.972397i	−0.00632888	+	0.0440183i
$489$	−8.25392	+	7.24568i	−0.373255	+	0.327661i
$490$	10.4796	+	1.98602i	0.473421	+	0.0897195i
$491$	−10.1471	+	8.79252i	−0.457932	+	0.396801i	−0.853049	−	0.521830i	$-0.825250\pi$
$491$	−10.1471	+	8.79252i	−0.457932	+	0.396801i	0.395117	+	0.918631i	$0.370704\pi$
$492$	4.67448	+	15.5486i	0.210742	+	0.700983i
$493$	−22.7258	−	10.3785i	−1.02352	−	0.467426i
$494$	0.445535	+	1.51735i	0.0200456	+	0.0682690i
$495$	1.08425	+	1.64027i	0.0487335	+	0.0737248i
$496$	9.31439	+	4.25374i	0.418229	+	0.190999i
$497$	0.749529	+	0.124842i	0.0336210	+	0.00559994i
$498$	9.92460	−	11.6038i	0.444732	−	0.519979i
$499$	−5.27134	−	11.5426i	−0.235978	−	0.516719i	0.754181	−	0.656666i	$-0.228034\pi$
$499$	−5.27134	−	11.5426i	−0.235978	−	0.516719i	−0.990159	+	0.139947i	$0.955307\pi$
$500$	9.84233	−	6.32528i	0.440162	−	0.282875i
$501$	−0.120232	−	18.6639i	−0.00537158	−	0.833841i
$502$	−0.278454	+	0.433283i	−0.0124280	+	0.0193384i
$503$	5.13913	−	5.93087i	0.229143	−	0.264445i	−0.629522	−	0.776983i	$-0.716749\pi$
$503$	5.13913	−	5.93087i	0.229143	−	0.264445i	0.858664	+	0.512538i	$0.171295\pi$
$504$	−2.30738	+	7.59447i	−0.102779	+	0.338285i
$505$	16.5347			0.735782
$506$	−0.392963	+	2.02508i	−0.0174693	+	0.0900260i
$507$	17.2917	−	2.59997i	0.767951	−	0.115469i
$508$	−0.710193	−	0.208532i	−0.0315097	−	0.00925209i
$509$	6.40937	−	7.39681i	0.284090	−	0.327858i	−0.595711	−	0.803199i	$-0.703130\pi$
$509$	6.40937	−	7.39681i	0.284090	−	0.327858i	0.879802	+	0.475341i	$0.157675\pi$
$510$	3.30130	−	7.35384i	0.146184	−	0.325633i
$511$	−11.5942	−	5.60989i	−0.512899	−	0.248167i
$512$	−0.540641	−	0.841254i	−0.0238932	−	0.0371785i
$513$	−3.08652	+	3.70432i	−0.136273	+	0.163550i
$514$	−9.45808	+	8.19547i	−0.417178	+	0.361487i
$515$	−0.0173949	+	0.00250100i	−0.000766509	+	0.000110207i
$516$	−1.48517	+	5.18127i	−0.0653810	+	0.228093i
$517$	0.949500	+	3.23370i	0.0417590	+	0.142218i
$518$	0.151992	−	6.83120i	0.00667816	−	0.300146i
$519$	10.7448	−	37.4849i	0.471642	−	1.64540i
$520$	−0.369564	−	2.57037i	−0.0162064	−	0.112718i
$521$	4.94399	+	5.70567i	0.216600	+	0.249970i	0.853643	−	0.520858i	$-0.174388\pi$
$521$	4.94399	+	5.70567i	0.216600	+	0.249970i	−0.637043	+	0.770828i	$0.719843\pi$
$522$	−16.3075	−	18.3371i	−0.713759	−	0.802592i
$523$	5.50167	+	8.56076i	0.240571	+	0.374336i	0.940454	−	0.339922i	$-0.110401\pi$
$523$	5.50167	+	8.56076i	0.240571	+	0.374336i	−0.699883	+	0.714258i	$0.746764\pi$
$524$	−1.31847	+	9.17013i	−0.0575975	+	0.400599i
$525$	9.14727	+	8.18280i	0.399220	+	0.357127i
$526$	18.9506	−	21.8701i	0.826284	−	0.953583i
$527$	8.81123	−	30.0083i	0.383823	−	1.30718i
$528$	−0.110775	−	0.736735i	−0.00482087	−	0.0320623i
$529$	−21.3307	−	8.60228i	−0.927424	−	0.374012i
$530$	3.31998			0.144211
$531$	4.69145	−	0.0604470i	0.203592	−	0.00262317i
$532$	−1.28104	−	2.09436i	−0.0555403	−	0.0908019i
$533$	8.63688	−	13.4393i	0.374105	−	0.582119i
$534$	−6.05885	+	0.0390310i	−0.262192	+	0.00168903i
$535$	−1.61786	−	2.51743i	−0.0699460	−	0.108838i
$536$	7.82941	−	3.57557i	0.338179	−	0.154441i
$537$	−11.4866	+	13.4300i	−0.495681	+	0.579549i
$538$	20.4662	−	2.94259i	0.882360	−	0.126864i
$539$	−1.51357	−	2.60287i	−0.0651941	−	0.112113i
$540$	5.88239	−	5.29957i	0.253138	−	0.228057i
$541$	−31.7204	+	9.31395i	−1.36377	+	0.400438i	−0.880089	−	0.474808i	$-0.842517\pi$
$541$	−31.7204	+	9.31395i	−1.36377	+	0.400438i	−0.483677	+	0.875246i	$0.660699\pi$
$542$	−10.1307	+	22.1831i	−0.435150	+	0.952846i
$543$	19.3459	−	5.81608i	0.830210	−	0.249592i
$544$	−2.30828	+	2.00014i	−0.0989668	+	0.0857552i
$545$	11.8132	+	25.8674i	0.506023	+	1.10804i
$546$	7.15441	−	3.13163i	0.306180	−	0.134021i
$547$	−0.730562	+	5.08117i	−0.0312366	+	0.217255i	−0.999461	−	0.0328277i	$-0.989549\pi$
$547$	−0.730562	+	5.08117i	−0.0312366	+	0.217255i	0.968224	+	0.250083i	$0.0804578\pi$
$548$	−9.11307	+	14.1802i	−0.389291	+	0.605749i
$549$	2.69641	+	1.18967i	0.115080	+	0.0507737i
$550$	−1.10534	−	0.324556i	−0.0471317	−	0.0138391i
$551$	7.59030			0.323358
$552$	8.29915	+	0.352296i	0.353235	+	0.0149947i
$553$	−25.5726	−	8.13090i	−1.08746	−	0.345761i
$554$	−0.153934	+	0.524251i	−0.00654002	+	0.0222733i
$555$	−3.64796	+	5.75755i	−0.154847	+	0.244395i
$556$	−3.68312	+	5.73104i	−0.156199	+	0.243050i
$557$	18.6412	+	2.68020i	0.789854	+	0.113564i	0.525424	−	0.850841i	$-0.323907\pi$
$557$	18.6412	+	2.68020i	0.789854	+	0.113564i	0.264431	+	0.964405i	$0.414816\pi$
$558$	19.8160	−	23.4733i	0.838880	−	0.993703i
$559$	4.82411	−	2.20310i	0.204038	−	0.0931810i
$560$	1.59273	+	3.70346i	0.0673051	+	0.156500i
$561$	−2.17915	+	0.655134i	−0.0920039	+	0.0276598i
$562$	−4.73059	+	10.3586i	−0.199548	+	0.436949i
$563$	23.2571	−	6.82890i	0.980169	−	0.287804i	0.247875	−	0.968792i	$-0.420268\pi$
$563$	23.2571	−	6.82890i	0.980169	−	0.287804i	0.732294	+	0.680988i	$0.238450\pi$
$564$	12.3081	−	5.71702i	0.518264	−	0.240730i
$565$	20.4236	+	9.32715i	0.859227	+	0.392396i
$566$	2.83491	+	19.7172i	0.119160	+	0.828777i
$567$	20.0769	+	12.8030i	0.843152	+	0.537675i
$568$	0.119306	+	0.261245i	0.00500598	+	0.0109616i
$569$	11.3520	+	17.6640i	0.475900	+	0.740514i	0.993342	−	0.115204i	$-0.0367522\pi$
$569$	11.3520	+	17.6640i	0.475900	+	0.740514i	−0.517442	+	0.855718i	$0.673116\pi$
$570$	0.0157760	+	2.44894i	0.000660784	+	0.102575i
$571$	29.1741	+	18.7490i	1.22090	+	0.784623i	0.982449	−	0.186532i	$-0.0597248\pi$
$571$	29.1741	+	18.7490i	1.22090	+	0.784623i	0.238449	+	0.971155i	$0.423361\pi$
$572$	−0.480047	+	0.554003i	−0.0200718	+	0.0231640i
$573$	−5.78845	+	42.1870i	−0.241816	+	1.76239i
$574$	−7.51483	+	23.6350i	−0.313663	+	0.986506i
$575$	5.90006	−	11.4090i	0.246050	−	0.475789i
$576$	−2.86735	+	0.882212i	−0.119473	+	0.0367588i
$577$	−7.66772	+	26.1138i	−0.319211	+	1.08713i	0.631066	+	0.775729i	$0.282618\pi$
$577$	−7.66772	+	26.1138i	−0.319211	+	1.08713i	−0.950277	+	0.311405i	$0.899201\pi$
$578$	−5.79757	−	5.02362i	−0.241147	−	0.208955i
$579$	−30.6630	−	13.7653i	−1.27431	−	0.572066i
$580$	−12.3370	−	1.77379i	−0.512266	−	0.0736527i
$581$	22.5198	−	6.07168i	0.934279	−	0.251896i
$582$	8.00105	+	12.2753i	0.331654	+	0.508827i
$583$	−0.613733	−	0.708286i	−0.0254182	−	0.0293342i
$584$	−0.692821	−	4.81867i	−0.0286691	−	0.199398i
$585$	−7.72476	−	1.00925i	−0.319379	−	0.0417275i
$586$	−3.13752	−	10.6854i	−0.129610	−	0.441410i
$587$	−14.0106	+	4.11388i	−0.578278	+	0.169798i	−0.557775	−	0.829992i	$-0.688345\pi$
$587$	−14.0106	+	4.11388i	−0.578278	+	0.169798i	−0.0205029	+	0.999790i	$0.506527\pi$
$588$	−9.45838	+	7.58545i	−0.390057	+	0.312819i
$589$	1.35224	+	9.40506i	0.0557182	+	0.387529i
$590$	1.80098	−	1.56056i	0.0741453	−	0.0642473i
$591$	16.6424	−	10.8475i	0.684576	−	0.446207i
$592$	2.17261	−	1.39625i	0.0892938	−	0.0573856i
$593$	1.66458	−	11.5774i	0.0683561	−	0.475427i	−0.926675	−	0.375863i	$-0.877346\pi$
$593$	1.66458	−	11.5774i	0.0683561	−	0.475427i	0.995031	−	0.0995637i	$-0.0317447\pi$
$594$	−2.21803	−	0.275270i	−0.0910071	−	0.0112945i
$595$	10.5040	−	6.42494i	0.430623	−	0.263397i
$596$	2.44655	−	8.33220i	0.100215	−	0.341300i
$597$	5.39630	+	35.8893i	0.220856	+	1.46885i
$598$	−5.04421	−	6.43097i	−0.206273	−	0.262982i
$599$		−	11.2224i		−	0.458535i	−0.973363	−	0.229268i	$-0.926367\pi$
$599$		−	11.2224i		−	0.458535i	0.973363	−	0.229268i	$-0.0736331\pi$
$600$	−0.630582	+	4.59577i	−0.0257434	+	0.187621i
$601$	−28.3260	−	24.5447i	−1.15544	−	1.00120i	−0.999911	−	0.0133667i	$-0.995745\pi$
$601$	−28.3260	−	24.5447i	−1.15544	−	1.00120i	−0.155533	−	0.987831i	$-0.549709\pi$
$602$	−6.34067	+	5.25189i	−0.258426	+	0.214051i
$603$	−4.00379	−	25.5094i	−0.163047	−	1.03882i
$604$	−7.27382	+	4.67460i	−0.295967	+	0.190207i
$605$	6.84570	+	14.9900i	0.278317	+	0.609430i
$606$	−12.2164	+	14.2834i	−0.496259	+	0.580224i
$607$	21.0010	−	3.01949i	0.852404	−	0.122557i	0.297756	−	0.954642i	$-0.403762\pi$
$607$	21.0010	−	3.01949i	0.852404	−	0.122557i	0.554648	+	0.832085i	$0.312853\pi$
$608$	0.385477	−	0.844077i	0.0156332	−	0.0342318i
$609$	−4.74758	−	37.1827i	−0.192382	−	1.50672i
$610$	1.43628	−	0.421729i	0.0581532	−	0.0170753i
$611$	−12.1464	−	5.54707i	−0.491390	−	0.224410i
$612$	3.91347	+	8.28512i	0.158192	+	0.334906i
$613$	16.9995	+	19.6185i	0.686603	+	0.792382i	0.986878	−	0.161471i	$-0.0516237\pi$
$613$	16.9995	+	19.6185i	0.686603	+	0.792382i	−0.300274	+	0.953853i	$0.597078\pi$
$614$	−7.28127	−	15.9438i	−0.293848	−	0.643438i
$615$	18.5921	−	16.3210i	0.749704	−	0.658126i
$616$	0.495666	−	1.02442i	0.0199709	−	0.0412750i
$617$	22.7107	−	35.3385i	0.914298	−	1.42268i	0.00803203	−	0.999968i	$-0.497443\pi$
$617$	22.7107	−	35.3385i	0.914298	−	1.42268i	0.906266	−	0.422708i	$-0.138920\pi$
$618$	0.0106915	−	0.0168743i	0.000430076	−	0.000678786i
$619$	−0.568214	+	1.93516i	−0.0228385	+	0.0777806i	−0.970124	−	0.242611i	$-0.921996\pi$
$619$	−0.568214	+	1.93516i	−0.0228385	+	0.0777806i	0.947285	+	0.320391i	$0.103814\pi$
$620$		−	15.6027i		−	0.626618i
$621$	7.72390	−	23.6926i	0.309949	−	0.950753i
$622$		−	10.0710i		−	0.403810i
$623$	−7.67277	−	5.17571i	−0.307403	−	0.207361i
$624$	2.49346	+	1.57984i	0.0998182	+	0.0632444i
$625$	−3.73177	−	2.39826i	−0.149271	−	0.0959306i
$626$	3.95722	−	27.5231i	0.158162	−	1.10004i
$627$	0.519541	−	0.456078i	0.0207485	−	0.0182140i
$628$	15.5359	−	7.09499i	0.619948	−	0.283121i
$629$	−5.16553	−	5.96134i	−0.205963	−	0.237694i
$630$	11.9868	−	1.60904i	0.477564	−	0.0641059i
$631$	−13.6459	+	29.8803i	−0.543235	+	1.18952i	0.416636	+	0.909074i	$0.363209\pi$
$631$	−13.6459	+	29.8803i	−0.543235	+	1.18952i	−0.959870	+	0.280444i	$0.909518\pi$
$632$	−2.85743	−	9.73150i	−0.113662	−	0.387098i
$633$	0.556174	−	0.258339i	0.0221059	−	0.0102680i
$634$	−2.10757	+	4.61493i	−0.0837022	+	0.183282i
$635$	0.160507	+	1.11635i	0.00636954	+	0.0443011i
$636$	−2.45293	+	2.86796i	−0.0972650	+	0.113722i
$637$	11.7210	+	2.22128i	0.464403	+	0.0880104i
$638$	1.90220	+	2.95989i	0.0753090	+	0.117183i
$639$	0.851174	−	0.133595i	0.0336719	−	0.00528493i
$640$	−0.823794	+	1.28185i	−0.0325633	+	0.0506695i
$641$	17.0084	+	14.7379i	0.671793	+	0.582112i	0.922522	−	0.385946i	$-0.126125\pi$
$641$	17.0084	+	14.7379i	0.671793	+	0.582112i	−0.250729	+	0.968057i	$0.580670\pi$
$642$	3.37001	+	0.462397i	0.133004	+	0.0182493i
$643$		−	29.2165i		−	1.15218i	−0.817385	−	0.576092i	$-0.804577\pi$
$643$		−	29.2165i		−	1.15218i	0.817385	−	0.576092i	$-0.195423\pi$
$644$	10.1599	+	7.60106i	0.400357	+	0.299524i
$645$	8.12154	−	1.22115i	0.319785	−	0.0480827i
$646$	−2.71937	−	0.798480i	−0.106992	−	0.0314158i
$647$	−2.44188	+	2.81808i	−0.0960001	+	0.110790i	−0.801717	−	0.597704i	$-0.796080\pi$
$647$	−2.44188	+	2.81808i	−0.0960001	+	0.110790i	0.705717	+	0.708494i	$0.250625\pi$
$648$	0.231882	+	8.99701i	0.00910920	+	0.353436i
$649$	−0.665862	−	0.0957365i	−0.0261374	−	0.00375799i
$650$	3.83975	−	2.46766i	0.150608	−	0.0967896i
$651$	45.2269	−	12.5069i	1.77258	−	0.490186i
$652$	−4.15251	−	4.79225i	−0.162625	−	0.187679i
$653$	−27.6615	+	3.97713i	−1.08248	+	0.155637i	−0.660394	−	0.750919i	$-0.729611\pi$
$653$	−27.6615	+	3.97713i	−1.08248	+	0.155637i	−0.422085	+	0.906556i	$0.638702\pi$
$654$	−31.0735	−	8.90699i	−1.21507	−	0.348291i
$655$	13.5447	−	3.97709i	0.529236	−	0.155398i
$656$	−8.99417	+	2.64093i	−0.351163	+	0.103111i
$657$	−14.4816	−	1.89205i	−0.564981	−	0.0738158i
$658$	20.4484	+	3.40590i	0.797162	+	0.132776i
$659$	−17.8694	+	15.4839i	−0.696093	+	0.603168i	−0.929329	−	0.369252i	$-0.879614\pi$
$659$	−17.8694	+	15.4839i	−0.696093	+	0.603168i	0.233236	+	0.972420i	$0.425068\pi$
$660$	−0.951026	+	0.619880i	−0.0370186	+	0.0241288i
$661$	14.8765	+	23.1483i	0.578630	+	0.900365i	0.999979	−	0.00653333i	$-0.00207964\pi$
$661$	14.8765	+	23.1483i	0.578630	+	0.900365i	−0.421349	+	0.906899i	$0.638443\pi$
$662$	26.2193	+	3.76977i	1.01904	+	0.146516i
$663$	3.69236	−	8.22495i	0.143399	−	0.319431i
$664$	6.66241	+	5.77301i	0.258551	+	0.224036i
$665$	−2.09198	+	3.10127i	−0.0811236	+	0.120262i
$666$	−2.27839	−	7.40519i	−0.0882859	−	0.286945i
$667$	−36.4373	+	14.5338i	−1.41086	+	0.562751i
$668$	10.7758			0.416929
$669$	−4.78645	+	34.8843i	−0.185055	+	1.34871i
$670$	−9.91176	−	8.58859i	−0.382925	−	0.331806i
$671$	−0.355483	−	0.228455i	−0.0137233	−	0.00881941i
$672$	−4.37600	−	1.36039i	−0.168808	−	0.0524781i
$673$	8.62068	−	5.54018i	0.332303	−	0.213558i	−0.363840	−	0.931462i	$-0.618534\pi$
$673$	8.62068	−	5.54018i	0.332303	−	0.213558i	0.696143	+	0.717903i	$0.254898\pi$
$674$	−10.2731	+	4.69158i	−0.395706	+	0.180713i
$675$	12.7682	+	5.53541i	0.491449	+	0.213058i
$676$	1.43675	+	9.99283i	0.0552597	+	0.384340i
$677$	−14.2256	+	31.1497i	−0.546734	+	1.19718i	0.411557	+	0.911384i	$0.364985\pi$
$677$	−14.2256	+	31.1497i	−0.546734	+	1.19718i	−0.958291	+	0.285796i	$0.907742\pi$
$678$	−23.1470	+	10.7516i	−0.888955	+	0.412913i
$679$	−0.497876	+	22.3767i	−0.0191067	+	0.858739i
$680$	4.23337	+	1.93332i	0.162342	+	0.0741393i
$681$	7.33947	+	24.4131i	0.281249	+	0.935511i
$682$	−3.32868	+	2.88432i	−0.127462	+	0.110446i
$683$	−6.92847	+	3.16413i	−0.265111	+	0.121072i	−0.543536	−	0.839386i	$-0.682915\pi$
$683$	−6.92847	+	3.16413i	−0.265111	+	0.121072i	0.278425	+	0.960458i	$0.410188\pi$
$684$	−2.12716	−	1.79574i	−0.0813342	−	0.0686619i
$685$	25.4227	+	3.65524i	0.971353	+	0.139660i
$686$	−18.4667	+	1.40732i	−0.705062	+	0.0537317i
$687$	−6.18065	−	3.91603i	−0.235806	−	0.149406i
$688$	−2.98582	−	0.876717i	−0.113833	−	0.0334245i
$689$	3.71325			0.141464
$690$	−4.76492	−	11.7259i	−0.181398	−	0.446399i
$691$		−	50.8203i		−	1.93330i	−0.256108	−	0.966648i	$-0.582440\pi$
$691$		−	50.8203i		−	1.93330i	0.256108	−	0.966648i	$-0.417560\pi$
$692$	21.6015	+	6.34277i	0.821165	+	0.241116i
$693$	−2.55916	−	2.25982i	−0.0972143	−	0.0858433i
$694$	−16.8911	−	10.8553i	−0.641178	−	0.412060i
$695$	10.2748	+	1.47729i	0.389746	+	0.0560370i
$696$	10.6473	−	9.34674i	0.403587	−	0.354287i
$697$	11.8936	+	26.0433i	0.450501	+	0.986460i
$698$	−3.78341	−	4.36629i	−0.143204	−	0.165266i
$699$	21.0712	−	6.33479i	0.796987	−	0.239604i
$700$	−4.75827	+	5.25064i	−0.179846	+	0.198455i
$701$	3.33405	+	11.3547i	0.125925	+	0.428862i	0.998188	−	0.0601757i	$-0.0191661\pi$
$701$	3.33405	+	11.3547i	0.125925	+	0.428862i	−0.872262	+	0.489038i	$0.837348\pi$
$702$	6.57919	−	5.92734i	0.248316	−	0.223713i
$703$	2.17990	+	0.995528i	0.0822166	+	0.0375471i
$704$	0.425758	−	0.0612147i	0.0160463	−	0.00230712i
$705$	−15.7148	−	13.4407i	−0.591854	−	0.506206i
$706$	27.2763	−	12.4567i	1.02656	−	0.468813i
$707$	−27.7202	+	7.47379i	−1.04253	+	0.281081i
$708$	0.0174499	+	2.70878i	0.000655807	+	0.101802i
$709$	−33.9279	−	21.8041i	−1.27419	−	0.818872i	−0.284030	−	0.958815i	$-0.591672\pi$
$709$	−33.9279	−	21.8041i	−1.27419	−	0.818872i	−0.990159	+	0.139943i	$0.955308\pi$
$710$	0.286576	−	0.330727i	0.0107550	−	0.0124120i
$711$	−30.4245	+	0.392004i	−1.14101	+	0.0147013i
$712$		−	3.49815i		−	0.131099i
$713$	−24.5002	−	42.5599i	−0.917538	−	1.59388i
$714$	−2.21061	+	13.8209i	−0.0827300	+	0.517233i
$715$	1.07173	+	0.314689i	0.0400805	+	0.0117687i
$716$	−7.71095	−	6.68158i	−0.288172	−	0.249702i
$717$	4.64768	−	10.3530i	0.173571	−	0.386639i
$718$	0.561406	−	3.90466i	0.0209515	−	0.145721i
$719$	−37.5816	+	24.1523i	−1.40156	+	0.900727i	−0.999887	−	0.0150563i	$-0.995207\pi$
$719$	−37.5816	+	24.1523i	−1.40156	+	0.900727i	−0.401672	+	0.915784i	$0.631571\pi$
$720$	3.03777	+	3.41584i	0.113211	+	0.127301i
$721$	0.0280319	−	0.0120555i	0.00104396	−	0.000448971i
$722$	−17.9543	+	2.58144i	−0.668190	+	0.0960713i
$723$	12.5115	+	3.58634i	0.465309	+	0.133377i
$724$	3.28590	+	11.1907i	0.122119	+	0.415900i
$725$	−6.17202	−	21.0200i	−0.229223	−	0.780662i
$726$	−18.0069	−	5.16155i	−0.668300	−	0.191563i
$727$	−36.0323	+	5.18067i	−1.33637	+	0.192140i	−0.773178	−	0.634189i	$-0.781334\pi$
$727$	−36.0323	+	5.18067i	−1.33637	+	0.192140i	−0.563187	+	0.826329i	$0.690425\pi$
$728$	1.78140	+	4.14216i	0.0660230	+	0.153519i
$729$	26.1809	+	6.60003i	0.969663	+	0.244446i
$730$	−6.24033	+	4.01042i	−0.230965	+	0.148432i
$731$	−1.35264	+	9.40784i	−0.0500293	+	0.347962i
$732$	−0.696868	+	1.55231i	−0.0257570	+	0.0573752i
$733$	35.8485	+	31.0629i	1.32410	+	1.14733i	0.977877	+	0.209181i	$0.0670797\pi$
$733$	35.8485	+	31.0629i	1.32410	+	1.14733i	0.346218	+	0.938154i	$0.387466\pi$
$734$	−29.3906	−	8.62986i	−1.08483	−	0.318534i
$735$	16.5007	+	8.30823i	0.608638	+	0.306454i
$736$	−0.234260	+	4.79011i	−0.00863495	+	0.176566i
$737$			3.70227i			0.136375i
$738$	0.362303	+	28.1193i	0.0133365	+	1.03509i
$739$	−20.3048	+	23.4329i	−0.746922	+	0.861995i	−0.994266	−	0.106933i	$-0.965897\pi$
$739$	−20.3048	+	23.4329i	−0.746922	+	0.861995i	0.247344	+	0.968928i	$0.420442\pi$
$740$	−3.31049	−	2.12752i	−0.121696	−	0.0782093i
$741$	0.0176448	+	2.73903i	0.000648197	+	0.100621i
$742$	−5.56592	+	1.50066i	−0.204331	+	0.0550908i
$743$	−28.4774	+	13.0052i	−1.04473	+	0.477114i	−0.862456	−	0.506133i	$-0.831075\pi$
$743$	−28.4774	+	13.0052i	−1.04473	+	0.477114i	−0.182279	+	0.983247i	$0.558347\pi$
$744$	13.4783	+	11.5279i	0.494139	+	0.422632i
$745$	−13.0974	+	1.88312i	−0.479851	+	0.0689922i
$746$	−22.1144	−	10.0993i	−0.809666	−	0.369762i
$747$	22.0625	−	14.5837i	0.807224	−	0.533590i
$748$	−0.370129	−	1.26054i	−0.0135333	−	0.0460901i
$749$	3.85022	+	3.48917i	0.140684	+	0.127492i
$750$	19.4063	−	5.83424i	0.708617	−	0.213036i
$751$	12.6757	+	14.6285i	0.462543	+	0.533803i	0.938322	−	0.345761i	$-0.112379\pi$
$751$	12.6757	+	14.6285i	0.462543	+	0.533803i	−0.475779	+	0.879565i	$0.657834\pi$
$752$	3.25488	+	7.12719i	0.118693	+	0.259902i
$753$	−0.670414	+	0.588521i	−0.0244312	+	0.0214469i
$754$	−13.7984	−	1.98391i	−0.502508	−	0.0722497i
$755$	11.0834	+	7.12286i	0.403365	+	0.259227i
$756$	−7.46633	+	11.5436i	−0.271548	+	0.419836i
$757$	0.760240	+	0.223227i	0.0276314	+	0.00811331i	0.295519	−	0.955337i	$-0.404507\pi$
$757$	0.760240	+	0.223227i	0.0276314	+	0.00811331i	−0.267888	+	0.963450i	$0.586326\pi$
$758$			1.86598i			0.0677753i
$759$	−1.62077	+	3.18422i	−0.0588303	+	0.115580i
$760$	−1.41392			−0.0512884
$761$	−27.3967	−	8.04441i	−0.993131	−	0.291609i	−0.255496	−	0.966810i	$-0.582239\pi$
$761$	−27.3967	−	8.04441i	−0.993131	−	0.291609i	−0.737634	+	0.675200i	$0.764057\pi$
$762$	−1.08295	−	0.686151i	−0.0392311	−	0.0248566i
$763$	−31.4970	−	38.0268i	−1.14027	−	1.37666i
$764$	−24.3347	−	3.49880i	−0.880397	−	0.126582i
$765$	9.00635	−	10.6686i	0.325625	−	0.385723i
$766$	−4.22443	+	1.92923i	−0.152635	+	0.0697061i
$767$	2.01432	−	1.74542i	0.0727330	−	0.0630235i
$768$	−0.498671	−	1.65871i	−0.0179942	−	0.0598536i
$769$	−3.85870	−	1.76221i	−0.139148	−	0.0635469i	0.344624	−	0.938741i	$-0.388006\pi$
$769$	−3.85870	−	1.76221i	−0.139148	−	0.0635469i	−0.483772	+	0.875194i	$0.660734\pi$
$770$	−1.73363	−	0.0385729i	−0.0624758	−	0.00139007i
$771$	−19.6591	+	9.13150i	−0.708004	+	0.328863i
$772$	8.06127	−	17.6517i	0.290132	−	0.635299i
$773$	−1.98595	−	13.8126i	−0.0714298	−	0.496805i	−0.993860	−	0.110642i	$-0.964709\pi$
$773$	−1.98595	−	13.8126i	−0.0714298	−	0.496805i	0.922430	−	0.386163i	$-0.126200\pi$
$774$	−4.94562	+	7.91800i	−0.177767	+	0.284607i
$775$	24.9461	−	11.3925i	0.896089	−	0.409230i
$776$	−7.11675	+	4.57366i	−0.255476	+	0.164185i
$777$	3.51332	−	11.3014i	0.126040	−	0.405435i
$778$	31.3094	+	20.1213i	1.12249	+	0.721384i
$779$	−6.57375	−	5.69619i	−0.235529	−	0.204087i
$780$	0.611410	−	4.45604i	0.0218920	−	0.159552i
$781$	−0.123534			−0.00442040
$782$	14.5833	−	1.37391i	0.521498	−	0.0491308i
$783$	−18.4004	−	38.3141i	−0.657578	−	1.36923i
$784$	−4.34419	−	5.48890i	−0.155150	−	0.196032i
$785$	−19.6679	−	17.0423i	−0.701977	−	0.608266i
$786$	−6.57178	+	14.6390i	−0.234407	+	0.522156i
$787$	−23.5321	−	3.38341i	−0.838830	−	0.120606i	−0.290508	−	0.956873i	$-0.593824\pi$
$787$	−23.5321	−	3.38341i	−0.838830	−	0.120606i	−0.548322	+	0.836267i	$0.684733\pi$
$788$	6.20079	+	9.64862i	0.220894	+	0.343718i
$789$	41.9904	−	27.3694i	1.49490	−	0.974377i
$790$	−11.6795	+	10.1204i	−0.415540	+	0.360067i
$791$	−38.4560	−	6.40526i	−1.36734	−	0.227745i
$792$	0.167173	−	1.27953i	0.00594024	−	0.0454662i
$793$	1.60641	−	0.471686i	0.0570454	−	0.0167500i
$794$	−18.8761	+	5.54251i	−0.669886	+	0.196696i
$795$	5.52776	+	1.58449i	0.196050	+	0.0561961i
$796$	−20.7403	+	2.98201i	−0.735122	+	0.105695i
$797$	−2.32823	−	2.68693i	−0.0824703	−	0.0951758i	0.713015	−	0.701149i	$-0.247329\pi$
$797$	−2.32823	−	2.68693i	−0.0824703	−	0.0951758i	−0.795485	+	0.605973i	$0.792784\pi$
$798$	−1.13339	−	4.09849i	−0.0401215	−	0.145085i
$799$	20.1322	−	12.9382i	0.712224	−	0.457719i
$800$	−2.65097	−	0.381151i	−0.0937258	−	0.0134757i
$801$	−10.1066	−	2.82665i	−0.357099	−	0.0998749i
$802$	−6.94358	+	8.01332i	−0.245186	+	0.282960i
$803$	2.00918	+	0.589947i	0.0709023	+	0.0208188i
$804$	14.7424	−	2.21666i	0.519925	−	0.0781757i
$805$	4.10431	−	18.8934i	0.144658	−	0.665904i
$806$		−	17.4509i		−	0.614682i
$807$	35.4806	+	4.86826i	1.24897	+	0.171371i
$808$	−8.20093	−	7.10615i	−0.288508	−	0.249993i
$809$	−27.1372	+	42.2263i	−0.954093	+	1.48460i	−0.0811925	+	0.996698i	$0.525873\pi$
$809$	−27.1372	+	42.2263i	−0.954093	+	1.48460i	−0.872900	+	0.487899i	$0.837764\pi$
$810$	12.3234	−	6.01635i	0.433001	−	0.211393i
$811$	2.36048	+	3.67298i	0.0828878	+	0.128976i	0.880222	−	0.474562i	$-0.157394\pi$
$811$	2.36048	+	3.67298i	0.0828878	+	0.128976i	−0.797334	+	0.603538i	$0.793757\pi$
$812$	21.4846	−	2.60267i	0.753963	−	0.0913359i
$813$	−27.4547	+	32.0999i	−0.962878	+	1.12579i
$814$	0.158092	+	1.09956i	0.00554114	+	0.0385394i
$815$	−4.01378	+	8.78895i	−0.140597	+	0.307864i
$816$	−4.79787	+	2.22858i	−0.167959	+	0.0780159i
$817$	−0.813533	−	2.77064i	−0.0284619	−	0.0969324i
$818$	7.38684	−	16.1749i	0.258275	−	0.565543i
$819$	13.4067	−	1.79965i	0.468467	−	0.0628847i
$820$	9.35358	+	10.7946i	0.326641	+	0.376964i
$821$	32.2210	−	14.7148i	1.12452	−	0.513551i	0.235708	−	0.971824i	$-0.424259\pi$
$821$	32.2210	−	14.7148i	1.12452	−	0.513551i	0.888811	+	0.458273i	$0.151532\pi$
$822$	−21.9409	+	19.2607i	−0.765276	+	0.671796i
$823$	−4.34466	+	30.2178i	−0.151445	+	1.05333i	0.762354	+	0.647160i	$0.224043\pi$
$823$	−4.34466	+	30.2178i	−0.151445	+	1.05333i	−0.913800	+	0.406165i	$0.866866\pi$
$824$	0.00970244	+	0.00623538i	0.000338001	+	0.000217220i
$825$	−1.68549	−	1.06792i	−0.0586812	−	0.0371801i
$826$	−2.31395	+	3.43033i	−0.0805126	+	0.119356i
$827$			29.7360i			1.03402i	0.855979	+	0.517011i	$0.172956\pi$
$827$			29.7360i			1.03402i	−0.855979	+	0.517011i	$0.827044\pi$
$828$	13.6499	+	4.54742i	0.474368	+	0.158034i
$829$		−	54.4376i		−	1.89070i	−0.326062	−	0.945348i	$-0.605722\pi$
$829$		−	54.4376i		−	1.89070i	0.326062	−	0.945348i	$-0.394278\pi$
$830$	3.78443	−	12.8886i	0.131359	−	0.447369i
$831$	−0.506503	+	0.799411i	−0.0175704	+	0.0277313i
$832$	−0.921378	+	1.43369i	−0.0319430	+	0.0497043i
$833$	−14.7058	+	15.5193i	−0.509525	+	0.537710i
$834$	−8.86758	+	7.78438i	−0.307059	+	0.269551i
$835$	−6.82091	−	14.9357i	−0.236047	−	0.516872i
$836$	0.261379	+	0.301647i	0.00903998	+	0.0104327i
$837$	44.1965	−	29.6256i	1.52766	−	1.02401i
$838$	−5.85730	−	2.67494i	−0.202337	−	0.0924042i
$839$	29.1570	−	8.56126i	1.00661	−	0.295568i	0.263445	−	0.964674i	$-0.415141\pi$
$839$	29.1570	−	8.56126i	1.00661	−	0.295568i	0.743166	+	0.669107i	$0.233323\pi$
$840$	0.884382	+	6.92641i	0.0305141	+	0.238984i
$841$	−15.7480	+	34.4834i	−0.543035	+	1.18908i
$842$	16.6860	−	2.39908i	0.575037	−	0.0826778i
$843$	−12.8202	+	14.9893i	−0.441550	+	0.516258i
$844$	0.147080	+	0.322061i	0.00506272	+	0.0110858i
$845$	12.9410	−	8.31669i	0.445185	−	0.286103i
$846$	23.2214	−	3.64469i	0.798370	−	0.125307i
$847$	−18.2524	−	22.0363i	−0.627159	−	0.757176i
$848$	−1.64666	−	1.42684i	−0.0565464	−	0.0489978i
$849$	−4.69011	+	34.1822i	−0.160964	+	1.17313i
$850$			8.18009i			0.280575i
$851$	−12.3709	−	0.604998i	−0.424068	−	0.0207391i
$852$	0.0739637	+	0.491912i	0.00253395	+	0.0168526i
$853$	−5.21584	+	17.7635i	−0.178587	+	0.608211i	0.820732	+	0.571313i	$0.193566\pi$
$853$	−5.21584	+	17.7635i	−0.178587	+	0.608211i	−0.999319	+	0.0368980i	$0.988252\pi$
$854$	−2.21728	+	1.35623i	−0.0758738	+	0.0464094i
$855$	−1.14251	+	4.08501i	−0.0390731	+	0.139704i
$856$	−0.279493	+	1.94392i	−0.00955288	+	0.0664417i
$857$	29.8814	−	19.2036i	1.02073	−	0.655982i	0.0805804	−	0.996748i	$-0.474323\pi$
$857$	29.8814	−	19.2036i	1.02073	−	0.655982i	0.940148	+	0.340766i	$0.110686\pi$
$858$	−1.06368	+	0.693309i	−0.0363135	+	0.0236692i
$859$	11.9005	−	10.3119i	0.406041	−	0.351837i	−0.427769	−	0.903888i	$-0.640700\pi$
$859$	11.9005	−	10.3119i	0.406041	−	0.351837i	0.833810	+	0.552051i	$0.186155\pi$
$860$	0.674811	+	4.69342i	0.0230109	+	0.160044i
$861$	−23.7922	+	35.7658i	−0.810837	+	1.21889i
$862$	−9.15395	+	2.68784i	−0.311785	+	0.0915483i
$863$	−9.55566	−	32.5436i	−0.325279	−	1.10780i	−0.946108	−	0.323851i	$-0.895022\pi$
$863$	−9.55566	−	32.5436i	−0.325279	−	1.10780i	0.620829	−	0.783946i	$-0.286796\pi$
$864$	−5.19518	+	0.100413i	−0.176744	+	0.00341611i
$865$	−4.88205	−	33.9554i	−0.165995	−	1.15452i
$866$	−26.0424	−	30.0545i	−0.884956	−	1.02129i
$867$	−7.25538	−	11.1313i	−0.246406	−	0.378038i
$868$	7.05253	+	26.1577i	0.239378	+	0.887852i
$869$	4.31818	+	0.620860i	0.146484	+	0.0210612i
$870$	−19.6945	−	8.84131i	−0.667707	−	0.299749i
$871$	−11.0859	−	9.60597i	−0.375631	−	0.325486i
$872$	5.25792	−	17.9068i	0.178056	−	0.606401i
$873$	7.46325	+	24.2569i	0.252593	+	0.820972i
$874$	−3.85681	+	2.22022i	−0.130458	+	0.0751001i
$875$	29.4990	+	9.37932i	0.997249	+	0.317079i
$876$	1.14621	−	8.35375i	0.0387269	−	0.282247i
$877$	28.7076	−	33.1303i	0.969387	−	1.11873i	−0.0235064	−	0.999724i	$-0.507483\pi$
$877$	28.7076	−	33.1303i	0.969387	−	1.11873i	0.992893	−	0.119008i	$-0.0379715\pi$
$878$	−18.3793	−	11.8117i	−0.620272	−	0.398625i
$879$	−0.124257	−	19.2886i	−0.00419108	−	0.650589i
$880$	−0.354343	−	0.551369i	−0.0119449	−	0.0185866i
$881$	−5.64136	−	12.3529i	−0.190062	−	0.416179i	0.790480	−	0.612488i	$-0.209831\pi$
$881$	−5.64136	−	12.3529i	−0.190062	−	0.416179i	−0.980542	+	0.196310i	$0.937104\pi$
$882$	−19.3684	+	8.11567i	−0.652169	+	0.273269i
$883$	−3.78380	−	26.3169i	−0.127335	−	0.885634i	−0.948913	−	0.315538i	$-0.897815\pi$
$883$	−3.78380	−	26.3169i	−0.127335	−	0.885634i	0.821578	−	0.570096i	$-0.193094\pi$
$884$	4.73484	+	2.16233i	0.159250	+	0.0727271i
$885$	3.74343	−	1.73880i	0.125834	−	0.0584490i
$886$	16.4878	−	4.84126i	0.553919	−	0.162645i
$887$	4.33212	−	9.48603i	0.145459	−	0.318510i	−0.822853	−	0.568254i	$-0.807619\pi$
$887$	4.33212	−	9.48603i	0.145459	−	0.318510i	0.968312	+	0.249744i	$0.0803465\pi$
$888$	4.28377	−	1.28786i	0.143754	−	0.0432178i
$889$	−0.773690	−	1.79901i	−0.0259487	−	0.0603367i
$890$	−4.84857	+	2.21427i	−0.162525	+	0.0742225i
$891$	−3.56165	−	1.51690i	−0.119320	−	0.0508181i
$892$	−20.1223	−	2.89314i	−0.673743	−	0.0968696i
$893$	−3.93077	+	6.11639i	−0.131538	+	0.204677i
$894$	8.05013	−	12.7055i	0.269237	−	0.424934i
$895$	−4.38003	+	14.9170i	−0.146408	+	0.498621i
$896$	0.801679	−	2.52137i	0.0267822	−	0.0842331i
$897$	−5.32936	−	13.1150i	−0.177942	−	0.437896i
$898$	−18.2615			−0.609393
$899$	−80.3662	−	23.5976i	−2.68036	−	0.787025i
$900$	−3.24329	+	7.35100i	−0.108110	+	0.245033i
$901$	−3.59787	+	5.59839i	−0.119862	+	0.186509i
$902$	0.573819	−	3.99100i	0.0191061	−	0.132886i
$903$	−13.0637	+	5.71825i	−0.434733	+	0.190291i
$904$	−6.12123	−	13.4036i	−0.203589	−	0.445798i
$905$	13.4309	−	11.6379i	0.446458	−	0.386858i
$906$	−14.3419	+	4.31171i	−0.476478	+	0.143247i
$907$	17.8323	−	39.0474i	0.592113	−	1.29655i	−0.342044	−	0.939684i	$-0.611119\pi$
$907$	17.8323	−	39.0474i	0.592113	−	1.29655i	0.934157	−	0.356863i	$-0.116154\pi$
$908$	−14.1219	+	4.14656i	−0.468651	+	0.137608i
$909$	−27.1573	+	17.9515i	−0.900750	+	0.595413i
$910$	4.61360	−	5.09101i	0.152939	−	0.168765i
$911$	20.8476	−	2.99744i	0.690713	−	0.0993095i	0.211985	−	0.977273i	$-0.432007\pi$
$911$	20.8476	−	2.99744i	0.690713	−	0.0993095i	0.478728	+	0.877963i	$0.341098\pi$
$912$	1.04466	−	1.22141i	0.0345922	−	0.0404451i
$913$	−3.44925	+	1.57522i	−0.114153	+	0.0521321i
$914$	−9.97690	−	15.5244i	−0.330007	−	0.513500i
$915$	2.59267	−	0.0167020i	0.0857112	−	0.000552150i
$916$	2.28386	−	3.55376i	0.0754609	−	0.117420i
$917$	−20.9100	+	12.7899i	−0.690508	+	0.422359i
$918$	2.56177	+	15.6625i	0.0845509	+	0.516938i
$919$	18.7186			0.617470			0.308735	−	0.951148i	$-0.400094\pi$
$919$	18.7186			0.617470			0.308735	+	0.951148i	$0.400094\pi$
$920$	6.78756	−	2.70736i	0.223779	−	0.0892591i
$921$	−4.51400	−	30.0214i	−0.148742	−	0.989239i
$922$	−8.30331	+	28.2785i	−0.273455	+	0.931302i
$923$	0.320523	−	0.369904i	0.0105502	−	0.0121755i
$924$	1.31420	−	1.46909i	0.0432339	−	0.0483297i
$925$	0.984357	−	6.84636i	0.0323655	−	0.225107i
$926$	4.04642	+	6.29635i	0.132974	+	0.206911i
$927$	0.0258548	−	0.0229931i	0.000849183	−	0.000755194i
$928$	5.35663	+	6.18188i	0.175840	+	0.202930i
$929$	−4.94951	−	34.4246i	−0.162388	−	1.12943i	−0.894115	−	0.447837i	$-0.852195\pi$
$929$	−4.94951	−	34.4246i	−0.162388	−	1.12943i	0.731727	−	0.681598i	$-0.238715\pi$
$930$	7.44652	−	25.9784i	0.244181	−	0.851866i
$931$	2.10539	−	6.14485i	0.0690014	−	0.201389i
$932$	3.57895	+	12.1888i	0.117232	+	0.399257i
$933$	4.80648	−	16.7682i	0.157357	−	0.548966i
$934$	−29.6844	+	4.26797i	−0.971304	+	0.139652i
$935$	−1.51288	+	1.31092i	−0.0494764	+	0.0428716i
$936$	3.39761	+	3.82047i	0.111054	+	0.124876i
$937$	10.5592	+	16.4305i	0.344954	+	0.536760i	0.969773	−	0.244011i	$-0.0784632\pi$
$937$	10.5592	+	16.4305i	0.344954	+	0.536760i	−0.624818	+	0.780770i	$0.714827\pi$
$938$	20.4991	+	9.91851i	0.669319	+	0.323851i
$939$	19.7244	−	43.9373i	0.643682	−	1.43384i
$940$	7.81828	−	9.02278i	0.255004	−	0.294291i
$941$	13.0041	+	3.81835i	0.423922	+	0.124475i	0.486733	−	0.873551i	$-0.338188\pi$
$941$	13.0041	+	3.81835i	0.423922	+	0.124475i	−0.0628112	+	0.998025i	$0.520007\pi$
$942$	29.2534	−	4.39852i	0.953126	−	0.143312i
$943$	42.4644	+	14.7573i	1.38283	+	0.480563i
$944$	−1.56395			−0.0509021
$945$	20.7259	+	3.04174i	0.674214	+	0.0989478i
$946$	0.876550	−	1.01159i	0.0284991	−	0.0328897i
$947$	9.60023	−	14.9382i	0.311966	−	0.485428i	−0.649497	−	0.760364i	$-0.725020\pi$
$947$	9.60023	−	14.9382i	0.311966	−	0.485428i	0.961462	+	0.274936i	$0.0886568\pi$
$948$	−0.113164	−	17.5667i	−0.00367540	−	0.570539i
$949$	−6.97954	+	4.48548i	−0.226565	+	0.145605i
$950$	−1.03239	−	2.26063i	−0.0334953	−	0.0733445i
$951$	−5.71161	+	6.67800i	−0.185212	+	0.216549i
$952$	−7.97109	−	1.32767i	−0.258345	−	0.0430301i
$953$	23.1200	+	10.5586i	0.748931	+	0.342025i	0.753047	−	0.657966i	$-0.228583\pi$
$953$	23.1200	+	10.5586i	0.748931	+	0.342025i	−0.00411656	+	0.999992i	$0.501310\pi$
$954$	−5.45289	+	3.60446i	−0.176544	+	0.116699i
$955$	10.5540	+	35.9435i	0.341518	+	1.16310i
$956$	5.95988	+	2.72179i	0.192756	+	0.0880289i
$957$	1.75453	+	5.83606i	0.0567161	+	0.188653i
$958$	1.93834	−	1.67958i	0.0626249	−	0.0542648i
$959$	−44.2732	+	5.36331i	−1.42966	+	0.173190i
$960$	−1.98339	+	1.74111i	−0.0640137	+	0.0561942i
$961$	10.5103	−	73.1005i	0.339041	−	2.35808i
$962$	−3.70264	−	2.37954i	−0.119378	−	0.0767195i
$963$	5.39039	+	2.37826i	0.173703	+	0.0766384i
$964$	−2.11706	+	7.21006i	−0.0681860	+	0.232220i
$965$	−29.5686			−0.951848
$966$	13.2886	+	17.5047i	0.427553	+	0.563204i
$967$	−40.9878			−1.31808			−0.659039	−	0.752109i	$-0.729037\pi$
$967$	−40.9878			−1.31808			−0.659039	+	0.752109i	$0.729037\pi$
$968$	3.04693	−	10.3769i	0.0979321	−	0.333526i
$969$	−4.14667	−	2.62732i	−0.133210	−	0.0844015i
$970$	10.8441	+	6.96905i	0.348181	+	0.223763i
$971$	4.17929	−	29.0676i	0.134120	−	0.932824i	−0.805984	−	0.591937i	$-0.798363\pi$
$971$	4.17929	−	29.0676i	0.134120	−	0.932824i	0.940104	−	0.340887i	$-0.110727\pi$
$972$	−3.90782	+	15.0907i	−0.125344	+	0.484034i
$973$	−17.8934	+	2.16762i	−0.573635	+	0.0694908i
$974$	1.69754	−	1.47092i	0.0543926	−	0.0471315i
$975$	7.57090	−	2.27609i	0.242463	−	0.0728933i
$976$	−0.893619	−	0.408102i	−0.0286040	−	0.0130630i
$977$	6.98421	+	23.7860i	0.223445	+	0.760982i	0.992548	+	0.121858i	$0.0388851\pi$
$977$	6.98421	+	23.7860i	0.223445	+	0.760982i	−0.769103	+	0.639125i	$0.779297\pi$
$978$	−4.62678	−	9.96092i	−0.147948	−	0.318515i
$979$	1.36870	+	0.625066i	0.0437440	+	0.0199772i
$980$	−4.85803	+	9.49560i	−0.155184	+	0.303326i
$981$	−47.4865	−	29.6603i	−1.51613	−	0.946980i
$982$	−5.57759	−	12.2132i	−0.177988	−	0.389739i
$983$	−7.52741	+	4.83757i	−0.240087	+	0.154295i	−0.655152	−	0.755497i	$-0.727395\pi$
$983$	−7.52741	+	4.83757i	−0.240087	+	0.154295i	0.415065	+	0.909792i	$0.363759\pi$
$984$	−16.2357	+	0.104590i	−0.517575	+	0.00333421i
$985$	9.44838	−	14.7020i	0.301050	−	0.468443i
$986$	16.3607	−	18.8813i	0.521032	−	0.601303i
$987$	32.4211	+	15.4300i	1.03197	+	0.491143i
$988$	−1.58141			−0.0503114
$989$	9.21056	+	11.7428i	0.292879	+	0.373398i
$990$	−1.87930	+	0.578214i	−0.0597281	+	0.0183768i
$991$	39.3981	+	11.5683i	1.25152	+	0.367480i	0.839333	−	0.543618i	$-0.182946\pi$
$991$	39.3981	+	11.5683i	1.25152	+	0.367480i	0.412190	+	0.911098i	$0.364764\pi$
$992$	−6.70560	+	7.73868i	−0.212903	+	0.245703i
$993$	41.8560	+	18.7901i	1.32826	+	0.596285i
$994$	−0.330952	+	0.683996i	−0.0104972	+	0.0216950i
$995$	17.2615	+	26.8594i	0.547225	+	0.851499i
$996$	8.33768	+	12.7917i	0.264190	+	0.405322i
$997$	35.1547	−	30.4617i	1.11336	−	0.964731i	0.113773	−	0.993507i	$-0.463706\pi$
$997$	35.1547	−	30.4617i	1.11336	−	0.964731i	0.999586	+	0.0287757i	$0.00916086\pi$
$998$	12.5602	−	1.80588i	0.397585	−	0.0571641i
$999$	−0.259325	−	13.4170i	−0.00820468	−	0.424496i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	966.2.t.a.41.10	✓	640
3.2	odd	2	inner	966.2.t.a.41.56	yes	640
7.6	odd	2	inner	966.2.t.a.41.23	yes	640
21.20	even	2	inner	966.2.t.a.41.41	yes	640
23.9	even	11	inner	966.2.t.a.377.41	yes	640
69.32	odd	22	inner	966.2.t.a.377.23	yes	640
161.55	odd	22	inner	966.2.t.a.377.56	yes	640
483.377	even	22	inner	966.2.t.a.377.10	yes	640

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
966.2.t.a.41.10	✓	640	1.1	even	1	trivial
966.2.t.a.41.23	yes	640	7.6	odd	2	inner
966.2.t.a.41.41	yes	640	21.20	even	2	inner
966.2.t.a.41.56	yes	640	3.2	odd	2	inner
966.2.t.a.377.10	yes	640	483.377	even	22	inner
966.2.t.a.377.23	yes	640	69.32	odd	22	inner
966.2.t.a.377.41	yes	640	23.9	even	11	inner
966.2.t.a.377.56	yes	640	161.55	odd	22	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:	\( N \)	\(=\)	\( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	966.t (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-0.927012 + 1.46310i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.216850 + 1.50823i) q^{5} +(-1.14266 - 1.30166i) q^{6} +(-0.318183 - 2.62655i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-1.28130 - 2.71261i) q^{9} +O(q^{10})\)	\(q+(-0.281733 + 0.959493i) q^{2} +(-0.927012 + 1.46310i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(-0.216850 + 1.50823i) q^{5} +(-1.14266 - 1.30166i) q^{6} +(-0.318183 - 2.62655i) q^{7} +(0.755750 - 0.654861i) q^{8} +(-1.28130 - 2.71261i) q^{9} +(-1.38604 - 0.632983i) q^{10} +(0.121183 + 0.412712i) q^{11} +(1.57086 - 0.729654i) q^{12} +(-1.55023 - 0.707964i) q^{13} +(2.60980 + 0.434690i) q^{14} +(-2.00566 - 1.71542i) q^{15} +(0.415415 + 0.909632i) q^{16} +(2.56944 - 1.65128i) q^{17} +(2.96372 - 0.465166i) q^{18} +(-0.501678 + 0.780626i) q^{19} +(0.997835 - 1.15156i) q^{20} +(4.13785 + 1.96931i) q^{21} -0.430136 q^{22} +(0.913579 - 4.70801i) q^{23} +(0.257535 + 1.71280i) q^{24} +(2.56974 + 0.754544i) q^{25} +(1.11604 - 1.28797i) q^{26} +(5.15659 + 0.639961i) q^{27} +(-1.15235 + 2.38162i) q^{28} +(-4.42233 - 6.88129i) q^{29} +(2.21099 - 1.44113i) q^{30} +(7.73868 - 6.70560i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(-0.716176 - 0.205286i) q^{33} +(0.860494 + 2.93057i) q^{34} +(4.03043 + 0.0896760i) q^{35} +(-0.388652 + 2.97472i) q^{36} +(-0.367541 - 2.55630i) q^{37} +(-0.607666 - 0.701284i) q^{38} +(2.47290 - 1.61184i) q^{39} +(0.823794 + 1.28185i) q^{40} +(-1.33404 + 9.27846i) q^{41} +(-3.05531 + 3.41542i) q^{42} +(-2.03785 + 2.35180i) q^{43} +(0.121183 - 0.412712i) q^{44} +(4.36909 - 1.34426i) q^{45} +(4.25992 + 2.20297i) q^{46} +7.83524 q^{47} +(-1.71597 - 0.235447i) q^{48} +(-6.79752 + 1.67145i) q^{49} +(-1.44796 + 2.25307i) q^{50} +(0.0340786 + 5.29008i) q^{51} +(0.921378 + 1.43369i) q^{52} +(-1.98194 + 0.905123i) q^{53} +(-2.06682 + 4.76742i) q^{54} +(-0.648742 + 0.0932751i) q^{55} +(-1.96049 - 1.77665i) q^{56} +(-0.677070 - 1.45765i) q^{57} +(7.84846 - 2.30452i) q^{58} +(-0.649687 + 1.42262i) q^{59} +(0.759843 + 2.52744i) q^{60} +(-0.742445 + 0.643332i) q^{61} +(4.25374 + 9.31439i) q^{62} +(-6.71713 + 4.22850i) q^{63} +(0.142315 - 0.989821i) q^{64} +(1.40394 - 2.18457i) q^{65} +(0.398741 - 0.629330i) q^{66} +(8.25857 + 2.42493i) q^{67} -3.05429 q^{68} +(6.04137 + 5.70103i) q^{69} +(-1.22155 + 3.84191i) q^{70} +(-0.0809130 + 0.275564i) q^{71} +(-2.74473 - 1.21098i) q^{72} +(2.63196 - 4.09541i) q^{73} +(2.55630 + 0.367541i) q^{74} +(-3.48615 + 3.06031i) q^{75} +(0.844077 - 0.385477i) q^{76} +(1.04545 - 0.449612i) q^{77} +(0.849851 + 2.82683i) q^{78} +(4.21328 - 9.22580i) q^{79} +(-1.46201 + 0.429286i) q^{80} +(-5.71655 + 6.95134i) q^{81} +(-8.52678 - 3.89405i) q^{82} +(1.25459 + 8.72590i) q^{83} +(-2.41629 - 3.89378i) q^{84} +(1.93332 + 4.23337i) q^{85} +(-1.68241 - 2.61788i) q^{86} +(14.1675 - 0.0912670i) q^{87} +(0.361853 + 0.232549i) q^{88} +(2.29080 - 2.64373i) q^{89} +(0.0588928 + 4.57083i) q^{90} +(-1.36625 + 4.29700i) q^{91} +(-3.31389 + 3.46671i) q^{92} +(2.63710 + 17.5386i) q^{93} +(-2.20744 + 7.51786i) q^{94} +(-1.06857 - 0.925923i) q^{95} +(0.709356 - 1.58013i) q^{96} +(-8.37359 - 1.20394i) q^{97} +(0.311342 - 6.99307i) q^{98} +(0.964257 - 0.857531i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 640 q + 64 q^{4} + 8 q^{9}+O(q^{10}) \) 640 * q + 64 * q^4 + 8 * q^9	\( 640 q + 64 q^{4} + 8 q^{9} + 8 q^{15} - 64 q^{16} + 20 q^{18} + 54 q^{21} - 8 q^{22} - 56 q^{25} - 44 q^{30} - 8 q^{36} + 20 q^{37} - 16 q^{39} - 4 q^{42} - 28 q^{43} + 24 q^{46} - 68 q^{49} - 40 q^{51} + 32 q^{57} - 80 q^{58} - 8 q^{60} + 86 q^{63} + 64 q^{64} + 24 q^{67} + 72 q^{70} - 64 q^{72} - 8 q^{78} - 144 q^{79} + 20 q^{81} + 34 q^{84} + 32 q^{85} + 8 q^{88} - 40 q^{91} + 16 q^{93} + 68 q^{99}+O(q^{100}) \) 640 * q + 64 * q^4 + 8 * q^9 + 8 * q^15 - 64 * q^16 + 20 * q^18 + 54 * q^21 - 8 * q^22 - 56 * q^25 - 44 * q^30 - 8 * q^36 + 20 * q^37 - 16 * q^39 - 4 * q^42 - 28 * q^43 + 24 * q^46 - 68 * q^49 - 40 * q^51 + 32 * q^57 - 80 * q^58 - 8 * q^60 + 86 * q^63 + 64 * q^64 + 24 * q^67 + 72 * q^70 - 64 * q^72 - 8 * q^78 - 144 * q^79 + 20 * q^81 + 34 * q^84 + 32 * q^85 + 8 * q^88 - 40 * q^91 + 16 * q^93 + 68 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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