LMFDB - Embedded newform 663.2.cg.a.94.20

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [663,2,Mod(94,663)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(663, base_ring=CyclotomicField(24))

chi = DirichletCharacter(H, H._module([0, 8, 3]))

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

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

chi := DirichletCharacter("663.94");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 663 = 3 \cdot 13 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	663.cg (of order $24$, 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:	$5.29408165401$
Analytic rank:	$0$
Dimension:	$320$
Relative dimension:	$40$ over $\Q(\zeta_{24})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{24}]$

Embedding invariants

Embedding label			94.20
Character	$\chi$	$=$	663.94
Dual form			663.2.cg.a.529.20

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.205057 - 0.0549449i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(-1.69302 - 0.977466i) q^{4} +(1.43968 - 3.47570i) q^{5} +(-0.0277095 + 0.210475i) q^{6} +(-1.39625 - 0.183819i) q^{7} +(0.593684 + 0.593684i) q^{8} +(-0.965926 + 0.258819i) q^{9} +O(q^{10})$	\(q+(-0.205057 - 0.0549449i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(-1.69302 - 0.977466i) q^{4} +(1.43968 - 3.47570i) q^{5} +(-0.0277095 + 0.210475i) q^{6} +(-1.39625 - 0.183819i) q^{7} +(0.593684 + 0.593684i) q^{8} +(-0.965926 + 0.258819i) q^{9} +(-0.486190 + 0.633615i) q^{10} +(-2.74236 - 2.10429i) q^{11} +(-0.748120 + 1.80612i) q^{12} +(-2.06858 - 2.95313i) q^{13} +(0.276211 + 0.114410i) q^{14} +(-3.63388 - 0.973696i) q^{15} +(1.86581 + 3.23168i) q^{16} +(3.07978 - 2.74134i) q^{17} +0.212291 q^{18} +(2.01635 + 7.52514i) q^{19} +(-5.83479 + 4.47719i) q^{20} +1.40830i q^{21} +(0.446721 + 0.582178i) q^{22} +(1.63152 + 1.25191i) q^{23} +(0.511114 - 0.666097i) q^{24} +(-6.47228 - 6.47228i) q^{25} +(0.261917 + 0.719219i) q^{26} +(0.382683 + 0.923880i) q^{27} +(2.18420 + 1.67599i) q^{28} +(1.01160 - 0.133180i) q^{29} +(0.691654 + 0.399327i) q^{30} +(1.52538 + 0.631832i) q^{31} +(-0.639641 - 2.38717i) q^{32} +(-1.72833 + 2.99356i) q^{33} +(-0.782155 + 0.392913i) q^{34} +(-2.64905 + 4.58830i) q^{35} +(1.88832 + 0.505974i) q^{36} +(-0.515479 - 3.91545i) q^{37} -1.65387i q^{38} +(-2.65786 + 2.43634i) q^{39} +(2.91819 - 1.20875i) q^{40} +(-4.75756 + 6.20017i) q^{41} +(0.0773787 - 0.288781i) q^{42} +(-1.52046 + 0.407406i) q^{43} +(2.58600 + 6.24316i) q^{44} +(-0.491049 + 3.72989i) q^{45} +(-0.265769 - 0.346357i) q^{46} +2.47022i q^{47} +(2.96050 - 2.27167i) q^{48} +(-4.84576 - 1.29842i) q^{49} +(0.971569 + 1.68281i) q^{50} +(-3.11988 - 2.69562i) q^{51} +(0.615561 + 7.02168i) q^{52} +(0.570999 - 0.570999i) q^{53} +(-0.0277095 - 0.210475i) q^{54} +(-11.2620 + 6.50212i) q^{55} +(-0.719799 - 0.938061i) q^{56} +(7.19757 - 2.98133i) q^{57} +(-0.214753 - 0.0282728i) q^{58} +(5.82190 - 1.55997i) q^{59} +(5.20049 + 5.20049i) q^{60} +(-13.1294 - 1.72852i) q^{61} +(-0.278074 - 0.213374i) q^{62} +(1.39625 - 0.183819i) q^{63} -6.93860i q^{64} +(-13.2423 + 2.93819i) q^{65} +(0.518888 - 0.518888i) q^{66} +(-5.45789 - 9.45334i) q^{67} +(-7.89370 + 1.63076i) q^{68} +(1.02824 - 1.78097i) q^{69} +(0.795311 - 0.795311i) q^{70} +(6.01840 - 4.61808i) q^{71} +(-0.727112 - 0.419798i) q^{72} +(6.50078 - 15.6943i) q^{73} +(-0.109431 + 0.831214i) q^{74} +(-5.57211 + 7.26171i) q^{75} +(3.94184 - 14.7111i) q^{76} +(3.44220 + 3.44220i) q^{77} +(0.678879 - 0.353554i) q^{78} +(8.10291 - 3.35633i) q^{79} +(13.9185 - 1.83241i) q^{80} +(0.866025 - 0.500000i) q^{81} +(1.31624 - 1.00999i) q^{82} +(-7.21261 + 7.21261i) q^{83} +(1.37656 - 2.38427i) q^{84} +(-5.09416 - 14.6511i) q^{85} +0.334166 q^{86} +(-0.264080 - 0.985562i) q^{87} +(-0.378814 - 2.87738i) q^{88} +(-8.59599 + 4.96290i) q^{89} +(0.305632 - 0.737860i) q^{90} +(2.34540 + 4.50355i) q^{91} +(-1.53850 - 3.71427i) q^{92} +(0.427325 - 1.59480i) q^{93} +(0.135726 - 0.506536i) q^{94} +(29.0580 + 3.82556i) q^{95} +(-2.28326 + 0.945757i) q^{96} +(0.794265 + 1.03511i) q^{97} +(0.922318 + 0.532500i) q^{98} +(3.19354 + 1.32281i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 320 q+O(q^{10}) $ 320 * q	$ 320 q + 96 q^{14} + 112 q^{16} + 16 q^{17} + 16 q^{20} - 40 q^{22} + 8 q^{23} + 48 q^{25} - 16 q^{26} + 24 q^{28} + 8 q^{29} - 32 q^{31} + 120 q^{32} - 8 q^{33} - 64 q^{34} - 16 q^{39} - 8 q^{41} + 24 q^{42} - 16 q^{43} - 8 q^{45} + 16 q^{46} - 32 q^{52} + 16 q^{53} + 40 q^{56} - 64 q^{58} + 32 q^{59} - 48 q^{61} - 40 q^{62} - 120 q^{65} + 32 q^{66} - 32 q^{67} + 32 q^{68} + 72 q^{69} + 64 q^{70} + 128 q^{71} - 112 q^{73} - 32 q^{74} - 32 q^{76} + 32 q^{77} - 8 q^{78} - 96 q^{79} - 64 q^{80} + 40 q^{82} - 40 q^{85} - 256 q^{86} + 24 q^{87} - 64 q^{88} - 32 q^{91} + 32 q^{94} - 32 q^{95} - 192 q^{96} - 24 q^{97}+O(q^{100}) $ 320 * q + 96 * q^14 + 112 * q^16 + 16 * q^17 + 16 * q^20 - 40 * q^22 + 8 * q^23 + 48 * q^25 - 16 * q^26 + 24 * q^28 + 8 * q^29 - 32 * q^31 + 120 * q^32 - 8 * q^33 - 64 * q^34 - 16 * q^39 - 8 * q^41 + 24 * q^42 - 16 * q^43 - 8 * q^45 + 16 * q^46 - 32 * q^52 + 16 * q^53 + 40 * q^56 - 64 * q^58 + 32 * q^59 - 48 * q^61 - 40 * q^62 - 120 * q^65 + 32 * q^66 - 32 * q^67 + 32 * q^68 + 72 * q^69 + 64 * q^70 + 128 * q^71 - 112 * q^73 - 32 * q^74 - 32 * q^76 + 32 * q^77 - 8 * q^78 - 96 * q^79 - 64 * q^80 + 40 * q^82 - 40 * q^85 - 256 * q^86 + 24 * q^87 - 64 * q^88 - 32 * q^91 + 32 * q^94 - 32 * q^95 - 192 * q^96 - 24 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/663\mathbb{Z}\right)^\times$.

$n$	$443$	$547$	$613$
$\chi(n)$	$1$	$e\left(\frac{1}{8}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.205057	−	0.0549449i	−0.144997	−	0.0388519i	0.185590	−	0.982627i	$-0.440580\pi$
$2$	−0.205057	−	0.0549449i	−0.144997	−	0.0388519i	−0.330588	+	0.943775i	$0.607247\pi$
$3$	−0.130526	−	0.991445i	−0.0753593	−	0.572411i
$3$	−0.130526	−	0.991445i	−0.0753593	−	0.572411i
$4$	−1.69302	−	0.977466i	−0.846511	−	0.488733i
$5$	1.43968	−	3.47570i	0.643846	−	1.55438i	−0.177605	−	0.984102i	$-0.556835\pi$
$5$	1.43968	−	3.47570i	0.643846	−	1.55438i	0.821451	−	0.570279i	$-0.193165\pi$
$6$	−0.0277095	+	0.210475i	−0.0113124	+	0.0859260i
$7$	−1.39625	−	0.183819i	−0.527732	−	0.0694772i	−0.138047	−	0.990426i	$-0.544083\pi$
$7$	−1.39625	−	0.183819i	−0.527732	−	0.0694772i	−0.389684	+	0.920948i	$0.627416\pi$
$8$	0.593684	+	0.593684i	0.209899	+	0.209899i
$9$	−0.965926	+	0.258819i	−0.321975	+	0.0862730i
$10$	−0.486190	+	0.633615i	−0.153747	+	0.200367i
$11$	−2.74236	−	2.10429i	−0.826852	−	0.634466i	0.106145	−	0.994351i	$-0.466149\pi$
$11$	−2.74236	−	2.10429i	−0.826852	−	0.634466i	−0.932997	+	0.359885i	$0.882816\pi$
$12$	−0.748120	+	1.80612i	−0.215964	+	0.521383i
$13$	−2.06858	−	2.95313i	−0.573720	−	0.819051i
$13$	−2.06858	−	2.95313i	−0.573720	−	0.819051i
$14$	0.276211	+	0.114410i	0.0738204	+	0.0305774i
$15$	−3.63388	−	0.973696i	−0.938264	−	0.251407i
$16$	1.86581	+	3.23168i	0.466453	+	0.807921i
$17$	3.07978	−	2.74134i	0.746957	−	0.664872i
$17$	3.07978	−	2.74134i	0.746957	−	0.664872i
$18$	0.212291			0.0500375
$19$	2.01635	+	7.52514i	0.462583	+	1.72638i	0.664780	+	0.747040i	$0.268525\pi$
$19$	2.01635	+	7.52514i	0.462583	+	1.72638i	−0.202196	+	0.979345i	$0.564808\pi$
$20$	−5.83479	+	4.47719i	−1.30470	+	1.00113i
$21$			1.40830i			0.307315i
$22$	0.446721	+	0.582178i	0.0952412	+	0.124121i
$23$	1.63152	+	1.25191i	0.340196	+	0.261041i	0.764703	−	0.644383i	$-0.222886\pi$
$23$	1.63152	+	1.25191i	0.340196	+	0.261041i	−0.424507	+	0.905425i	$0.639553\pi$
$24$	0.511114	−	0.666097i	0.104331	−	0.135966i
$25$	−6.47228	−	6.47228i	−1.29446	−	1.29446i
$26$	0.261917	+	0.719219i	0.0513662	+	0.141050i
$27$	0.382683	+	0.923880i	0.0736475	+	0.177801i
$28$	2.18420	+	1.67599i	0.412775	+	0.316733i
$29$	1.01160	−	0.133180i	0.187849	−	0.0247308i	−0.0360145	−	0.999351i	$-0.511466\pi$
$29$	1.01160	−	0.133180i	0.187849	−	0.0247308i	0.223864	+	0.974620i	$0.428133\pi$
$30$	0.691654	+	0.399327i	0.126278	+	0.0729068i
$31$	1.52538	+	0.631832i	0.273966	+	0.113480i	0.515437	−	0.856928i	$-0.327630\pi$
$31$	1.52538	+	0.631832i	0.273966	+	0.113480i	−0.241471	+	0.970408i	$0.577630\pi$
$32$	−0.639641	−	2.38717i	−0.113074	−	0.421997i
$33$	−1.72833	+	2.99356i	−0.300864	+	0.521112i
$34$	−0.782155	+	0.392913i	−0.134138	+	0.0673840i
$35$	−2.64905	+	4.58830i	−0.447772	+	0.775564i
$36$	1.88832	+	0.505974i	0.314720	+	0.0843290i
$37$	−0.515479	−	3.91545i	−0.0847441	−	0.643696i	−0.980123	−	0.198391i	$-0.936429\pi$
$37$	−0.515479	−	3.91545i	−0.0847441	−	0.643696i	0.895379	−	0.445305i	$-0.146905\pi$
$38$		−	1.65387i		−	0.268294i
$39$	−2.65786	+	2.43634i	−0.425599	+	0.390127i
$40$	2.91819	−	1.20875i	0.461406	−	0.191121i
$41$	−4.75756	+	6.20017i	−0.743005	+	0.968303i	0.256993	+	0.966413i	$0.417268\pi$
$41$	−4.75756	+	6.20017i	−0.743005	+	0.968303i	−0.999998	+	0.00189005i	$0.999398\pi$
$42$	0.0773787	−	0.288781i	0.0119398	−	0.0445599i
$43$	−1.52046	+	0.407406i	−0.231868	+	0.0621288i	−0.372882	−	0.927879i	$-0.621630\pi$
$43$	−1.52046	+	0.407406i	−0.231868	+	0.0621288i	0.141014	+	0.990008i	$0.454964\pi$
$44$	2.58600	+	6.24316i	0.389855	+	0.941192i
$45$	−0.491049	+	3.72989i	−0.0732013	+	0.556019i
$46$	−0.265769	−	0.346357i	−0.0391855	−	0.0510676i
$47$			2.47022i			0.360318i	0.983637	+	0.180159i	$0.0576613\pi$
$47$			2.47022i			0.360318i	−0.983637	+	0.180159i	$0.942339\pi$
$48$	2.96050	−	2.27167i	0.427311	−	0.327887i
$49$	−4.84576	−	1.29842i	−0.692252	−	0.185488i
$50$	0.971569	+	1.68281i	0.137401	+	0.237985i
$51$	−3.11988	−	2.69562i	−0.436870	−	0.377462i
$52$	0.615561	+	7.02168i	0.0853630	+	0.973732i
$53$	0.570999	−	0.570999i	0.0784327	−	0.0784327i	−0.666802	−	0.745235i	$-0.732337\pi$
$53$	0.570999	−	0.570999i	0.0784327	−	0.0784327i	0.745235	+	0.666802i	$0.232337\pi$
$54$	−0.0277095	−	0.210475i	−0.00377079	−	0.0286420i
$55$	−11.2620	+	6.50212i	−1.51857	+	0.876745i
$56$	−0.719799	−	0.938061i	−0.0961872	−	0.125354i
$57$	7.19757	−	2.98133i	0.953341	−	0.394887i
$58$	−0.214753	−	0.0282728i	−0.0281985	−	0.00371240i
$59$	5.82190	−	1.55997i	0.757947	−	0.203091i	0.140907	−	0.990023i	$-0.454998\pi$
$59$	5.82190	−	1.55997i	0.757947	−	0.203091i	0.617040	+	0.786931i	$0.288331\pi$
$60$	5.20049	+	5.20049i	0.671380	+	0.671380i
$61$	−13.1294	−	1.72852i	−1.68105	−	0.221314i	−0.771299	−	0.636473i	$-0.780393\pi$
$61$	−13.1294	−	1.72852i	−1.68105	−	0.221314i	−0.909749	+	0.415159i	$0.863726\pi$
$62$	−0.278074	−	0.213374i	−0.0353154	−	0.0270985i
$63$	1.39625	−	0.183819i	0.175911	−	0.0231591i
$64$		−	6.93860i		−	0.867325i
$65$	−13.2423	+	2.93819i	−1.64250	+	0.364437i
$66$	0.518888	−	0.518888i	0.0638708	−	0.0638708i
$67$	−5.45789	−	9.45334i	−0.666787	−	1.15491i	−0.978797	−	0.204831i	$-0.934336\pi$
$67$	−5.45789	−	9.45334i	−0.666787	−	1.15491i	0.312010	−	0.950079i	$-0.398998\pi$
$68$	−7.89370	+	1.63076i	−0.957252	+	0.197758i
$69$	1.02824	−	1.78097i	0.123786	−	0.214404i
$70$	0.795311	−	0.795311i	0.0950579	−	0.0950579i
$71$	6.01840	−	4.61808i	0.714253	−	0.548065i	−0.186470	−	0.982461i	$-0.559705\pi$
$71$	6.01840	−	4.61808i	0.714253	−	0.548065i	0.900722	+	0.434395i	$0.143038\pi$
$72$	−0.727112	−	0.419798i	−0.0856909	−	0.0494737i
$73$	6.50078	−	15.6943i	0.760859	−	1.83688i	0.280300	−	0.959913i	$-0.409566\pi$
$73$	6.50078	−	15.6943i	0.760859	−	1.83688i	0.480559	−	0.876962i	$-0.340434\pi$
$74$	−0.109431	+	0.831214i	−0.0127211	+	0.0966267i
$75$	−5.57211	+	7.26171i	−0.643411	+	0.838510i
$76$	3.94184	−	14.7111i	0.452160	−	1.68748i
$77$	3.44220	+	3.44220i	0.392275	+	0.392275i
$78$	0.678879	−	0.353554i	0.0768679	−	0.0400321i
$79$	8.10291	−	3.35633i	0.911649	−	0.377617i	0.122961	−	0.992411i	$-0.460761\pi$
$79$	8.10291	−	3.35633i	0.911649	−	0.377617i	0.788687	+	0.614794i	$0.210761\pi$
$80$	13.9185	−	1.83241i	1.55614	−	0.204870i
$81$	0.866025	−	0.500000i	0.0962250	−	0.0555556i
$82$	1.31624	−	1.00999i	0.145354	−	0.111534i
$83$	−7.21261	+	7.21261i	−0.791687	+	0.791687i	−0.981768	−	0.190081i	$-0.939125\pi$
$83$	−7.21261	+	7.21261i	−0.791687	+	0.791687i	0.190081	+	0.981768i	$0.439125\pi$
$84$	1.37656	−	2.38427i	0.150195	−	0.260146i
$85$	−5.09416	−	14.6511i	−0.552539	−	1.58913i
$86$	0.334166			0.0360341
$87$	−0.264080	−	0.985562i	−0.0283124	−	0.105663i
$88$	−0.378814	−	2.87738i	−0.0403817	−	0.306729i
$89$	−8.59599	+	4.96290i	−0.911173	+	0.526066i	−0.880809	−	0.473473i	$-0.843000\pi$
$89$	−8.59599	+	4.96290i	−0.911173	+	0.526066i	−0.0303650	+	0.999539i	$0.509667\pi$
$90$	0.305632	−	0.737860i	0.0322164	−	0.0777773i
$91$	2.34540	+	4.50355i	0.245865	+	0.472100i
$92$	−1.53850	−	3.71427i	−0.160400	−	0.387239i
$93$	0.427325	−	1.59480i	0.0443115	−	0.165373i
$94$	0.135726	−	0.506536i	0.0139991	−	0.0522452i
$95$	29.0580	+	3.82556i	2.98129	+	0.392494i
$96$	−2.28326	+	0.945757i	−0.233034	+	0.0965260i
$97$	0.794265	+	1.03511i	0.0806454	+	0.105099i	0.831934	−	0.554875i	$-0.187234\pi$
$97$	0.794265	+	1.03511i	0.0806454	+	0.105099i	−0.751288	+	0.659974i	$0.770567\pi$
$98$	0.922318	+	0.532500i	0.0931682	+	0.0537907i
$99$	3.19354	+	1.32281i	0.320963	+	0.132947i
$100$	4.63127	+	17.2841i	0.463127	+	1.72841i
$101$	−4.65316	−	8.05951i	−0.463007	−	0.801951i	0.536102	−	0.844153i	$-0.319896\pi$
$101$	−4.65316	−	8.05951i	−0.463007	−	0.801951i	−0.999109	+	0.0422019i	$0.986563\pi$
$102$	0.491643	+	0.724178i	0.0486799	+	0.0717043i
$103$	−0.903345			−0.0890092			−0.0445046	−	0.999009i	$-0.514171\pi$
$103$	−0.903345			−0.0890092			−0.0445046	+	0.999009i	$0.514171\pi$
$104$	0.525145	−	2.98131i	0.0514947	−	0.292341i
$105$	4.89481	+	2.02750i	0.477685	+	0.197864i
$106$	−0.148461	+	0.0857140i	−0.0144198	+	0.00832528i
$107$	1.98610	−	0.261475i	0.192003	−	0.0252777i	−0.0339112	−	0.999425i	$-0.510796\pi$
$107$	1.98610	−	0.261475i	0.192003	−	0.0252777i	0.225915	+	0.974147i	$0.427463\pi$
$108$	0.255170	−	1.93821i	0.0245537	−	0.186504i
$109$	2.55837	+	6.17645i	0.245047	+	0.591597i	0.997770	−	0.0667407i	$-0.0212600\pi$
$109$	2.55837	+	6.17645i	0.245047	+	0.591597i	−0.752723	+	0.658337i	$0.771260\pi$
$110$	2.66661	−	0.714517i	0.254252	−	0.0681265i
$111$	−3.81467	+	1.02214i	−0.362072	+	0.0970170i
$112$	−2.01109	−	4.85520i	−0.190030	−	0.458773i
$113$	−2.26807	+	17.2277i	−0.213362	+	1.62065i	0.464578	+	0.885532i	$0.346206\pi$
$113$	−2.26807	+	17.2277i	−0.213362	+	1.62065i	−0.677941	+	0.735117i	$0.737127\pi$
$114$	−1.63972	+	0.215874i	−0.153574	+	0.0202184i
$115$	6.70014	−	3.86833i	0.624791	−	0.360723i
$116$	−1.84284	−	0.763328i	−0.171103	−	0.0708733i
$117$	2.76242	+	2.31712i	0.255386	+	0.214218i
$118$	−1.27954			−0.117791
$119$	−4.80405	+	3.26146i	−0.440387	+	0.298978i
$120$	−1.57931	−	2.73545i	−0.144171	−	0.249711i
$121$	0.245502	+	0.916228i	0.0223184	+	0.0832934i
$122$	2.59731	+	1.07584i	0.235149	+	0.0974019i
$123$	6.76811	+	3.90757i	0.610260	+	0.352334i
$124$	−1.96490	−	2.56071i	−0.176453	−	0.229959i
$125$	−14.4352	+	5.97927i	−1.29113	+	0.534802i
$126$	−0.296411	−	0.0390232i	−0.0264064	−	0.00347646i
$127$	1.99264	−	7.43662i	0.176818	−	0.659894i	−0.819417	−	0.573198i	$-0.805703\pi$
$127$	1.99264	−	7.43662i	0.176818	−	0.659894i	0.996235	−	0.0866957i	$-0.0276308\pi$
$128$	−1.66052	+	6.19716i	−0.146771	+	0.547756i
$129$	0.602380	+	1.45427i	0.0530366	+	0.128042i
$130$	2.87687	+	0.125100i	0.252318	+	0.0109720i
$131$	6.58202	−	15.8904i	0.575074	−	1.38835i	−0.322113	−	0.946701i	$-0.604393\pi$
$131$	6.58202	−	15.8904i	0.575074	−	1.38835i	0.897187	−	0.441650i	$-0.145607\pi$
$132$	5.85221	−	3.37878i	0.509370	−	0.294085i
$133$	−1.43206	−	10.8776i	−0.124176	−	0.943207i
$134$	0.599767	+	2.23836i	0.0518120	+	0.193365i
$135$	3.76207			0.323788
$136$	3.45591	+	0.200930i	0.296342	+	0.0172296i
$137$	5.64344	−	9.77473i	0.482152	−	0.835111i	−0.517638	−	0.855600i	$-0.673189\pi$
$137$	5.64344	−	9.77473i	0.482152	−	0.835111i	0.999790	+	0.0204882i	$0.00652205\pi$
$138$	−0.308704	+	0.308704i	−0.0262786	+	0.0262786i
$139$	17.5820	−	13.4911i	1.49129	−	1.14430i	0.537718	−	0.843125i	$-0.319287\pi$
$139$	17.5820	−	13.4911i	1.49129	−	1.14430i	0.953568	−	0.301179i	$-0.0973801\pi$
$140$	8.96981	−	5.17872i	0.758087	−	0.437682i
$141$	2.44909	−	0.322428i	0.206250	−	0.0271534i
$142$	−1.48786	+	0.616290i	−0.124858	+	0.0517179i
$143$	−0.541448	+	12.4514i	−0.0452782	+	1.04124i
$144$	−2.63866	−	2.63866i	−0.219888	−	0.219888i
$145$	0.993490	−	3.70775i	0.0825048	−	0.307912i
$146$	−2.19535	+	2.86104i	−0.181689	+	0.236781i
$147$	−0.654811	+	4.97379i	−0.0540079	+	0.410231i
$148$	−2.95450	+	7.13280i	−0.242859	+	0.586313i
$149$	12.4614	+	7.19461i	1.02088	+	0.589405i	0.914359	−	0.404905i	$-0.132695\pi$
$149$	12.4614	+	7.19461i	1.02088	+	0.589405i	0.106521	+	0.994310i	$0.466029\pi$
$150$	1.54160	−	1.18291i	0.125871	−	0.0965840i
$151$	−12.6055	+	12.6055i	−1.02582	+	1.02582i	−0.0261610	+	0.999658i	$0.508328\pi$
$151$	−12.6055	+	12.6055i	−1.02582	+	1.02582i	−0.999658	+	0.0261610i	$0.991672\pi$
$152$	−3.27048	+	5.66463i	−0.265271	+	0.459462i
$153$	−2.26533	+	3.44504i	−0.183141	+	0.278515i
$154$	−0.516717	−	0.894980i	−0.0416382	−	0.0721195i
$155$	4.39212	−	4.39212i	0.352784	−	0.352784i
$156$	6.88126	−	1.52681i	0.550942	−	0.122242i
$157$			0.696766i			0.0556080i	0.999613	+	0.0278040i	$0.00885142\pi$
$157$			0.696766i			0.0556080i	−0.999613	+	0.0278040i	$0.991149\pi$
$158$	−1.84597	+	0.243027i	−0.146858	+	0.0193342i
$159$	−0.640644	−	0.491583i	−0.0508064	−	0.0389851i
$160$	−9.21798	−	1.21357i	−0.728745	−	0.0959411i
$161$	−2.04788	−	2.04788i	−0.161396	−	0.161396i
$162$	−0.205057	+	0.0549449i	−0.0161108	+	0.00431688i
$163$	−6.61634	−	0.871057i	−0.518231	−	0.0682265i	−0.133126	−	0.991099i	$-0.542502\pi$
$163$	−6.61634	−	0.871057i	−0.518231	−	0.0682265i	−0.385105	+	0.922873i	$0.625835\pi$
$164$	14.1151	−	5.84666i	1.10220	−	0.456548i
$165$	7.91647	+	10.3170i	0.616297	+	0.803173i
$166$	1.87530	−	1.08270i	0.145551	−	0.0840340i
$167$	0.649447	+	4.93304i	0.0502557	+	0.381730i	0.998027	+	0.0627805i	$0.0199968\pi$
$167$	0.649447	+	4.93304i	0.0502557	+	0.381730i	−0.947772	+	0.318950i	$0.896670\pi$
$168$	−0.836083	+	0.836083i	−0.0645052	+	0.0645052i
$169$	−4.44197	+	12.2176i	−0.341690	+	0.939813i
$170$	0.239593	+	3.28421i	0.0183759	+	0.251887i
$171$	−3.89530	−	6.74685i	−0.297881	−	0.515945i
$172$	2.97240	+	0.796451i	0.226643	+	0.0607288i
$173$	13.3219	−	10.2223i	1.01285	−	0.777184i	0.0378218	−	0.999284i	$-0.487958\pi$
$173$	13.3219	−	10.2223i	1.01285	−	0.777184i	0.975024	+	0.222101i	$0.0712914\pi$
$174$			0.216606i			0.0164209i
$175$	7.84717	+	10.2266i	0.593190	+	0.773061i
$176$	1.68366	−	12.7886i	0.126910	−	0.963980i
$177$	−2.30654	−	5.56848i	−0.173370	−	0.418553i
$178$	2.03536	−	0.545372i	0.152556	−	0.0408774i
$179$	0.519880	−	1.94022i	0.0388577	−	0.145019i	−0.943772	−	0.330598i	$-0.892750\pi$
$179$	0.519880	−	1.94022i	0.0388577	−	0.145019i	0.982629	+	0.185579i	$0.0594162\pi$
$180$	4.47719	−	5.83479i	0.333710	−	0.434900i
$181$	3.08967	−	1.27978i	0.229654	−	0.0951256i	−0.264889	−	0.964279i	$-0.585335\pi$
$181$	3.08967	−	1.27978i	0.229654	−	0.0951256i	0.494543	+	0.869153i	$0.335335\pi$
$182$	−0.233495	−	1.05235i	−0.0173078	−	0.0780056i
$183$			13.2427i			0.978928i
$184$	0.225369	+	1.71185i	0.0166144	+	0.126199i
$185$	−14.3511	−	3.84535i	−1.05511	−	0.282716i
$186$	−0.175252	+	0.303546i	−0.0128501	+	0.0222571i
$187$	−14.2144	+	1.03699i	−1.03946	+	0.0758319i
$188$	2.41456	−	4.18213i	0.176100	−	0.305013i
$189$	−0.364494	−	1.36031i	−0.0265130	−	0.0989479i
$190$	−5.74837	−	2.38105i	−0.417030	−	0.172740i
$191$	−9.54560	−	5.51116i	−0.690696	−	0.398773i	0.113177	−	0.993575i	$-0.463897\pi$
$191$	−9.54560	−	5.51116i	−0.690696	−	0.398773i	−0.803873	+	0.594802i	$0.797231\pi$
$192$	−6.87924	+	0.905669i	−0.496466	+	0.0653610i
$193$	−17.2063	−	13.2029i	−1.23854	−	0.950363i	−0.238752	−	0.971081i	$-0.576738\pi$
$193$	−17.2063	−	13.2029i	−1.23854	−	0.950363i	−0.999785	+	0.0207179i	$0.993405\pi$
$194$	−0.105996	−	0.255897i	−0.00761007	−	0.0183723i
$195$	4.64152	+	12.7455i	0.332386	+	0.912724i
$196$	6.93482	+	6.93482i	0.495344	+	0.495344i
$197$	10.7399	−	13.9965i	0.765185	−	0.997209i	−0.234500	−	0.972116i	$-0.575345\pi$
$197$	10.7399	−	13.9965i	0.765185	−	0.997209i	0.999685	−	0.0250925i	$-0.00798803\pi$
$198$	−0.582178	−	0.446721i	−0.0413736	−	0.0317471i
$199$	−14.3359	−	18.6829i	−1.01625	−	1.32440i	−0.945046	−	0.326937i	$-0.893984\pi$
$199$	−14.3359	−	18.6829i	−1.01625	−	1.32440i	−0.0712007	−	0.997462i	$-0.522683\pi$
$200$		−	7.68498i		−	0.543410i
$201$	−8.66007	+	6.64511i	−0.610834	+	0.468710i
$202$	0.511335	+	1.90833i	0.0359774	+	0.134270i
$203$	−1.43692			−0.100852
$204$	2.64714	+	7.61332i	0.185337	+	0.533039i
$205$	14.7006	+	25.4621i	1.02673	+	1.77835i
$206$	0.185237	+	0.0496342i	0.0129061	+	0.00345818i
$207$	−1.89995	−	0.786984i	−0.132055	−	0.0546992i
$208$	5.68400	−	12.1950i	0.394115	−	0.845570i
$209$	10.3055	−	24.8796i	0.712844	−	1.72096i
$210$	−0.892316	−	0.684698i	−0.0615757	−	0.0472487i
$211$	−4.35510	+	5.67567i	−0.299817	+	0.390729i	−0.918831	−	0.394650i	$-0.870866\pi$
$211$	−4.35510	+	5.67567i	−0.299817	+	0.390729i	0.619014	+	0.785380i	$0.287532\pi$
$212$	−1.52484	+	0.408581i	−0.104727	+	0.0280615i
$213$	−5.36413	−	5.36413i	−0.367544	−	0.367544i
$214$	−0.421631	−	0.0555087i	−0.0288221	−	0.00379450i
$215$	−0.772958	+	5.87120i	−0.0527153	+	0.400412i
$216$	−0.321300	+	0.775686i	−0.0218617	+	0.0527787i
$217$	−2.01366	−	1.16259i	−0.136696	−	0.0789216i
$218$	−0.185248	−	1.40710i	−0.0125466	−	0.0953006i
$219$	−16.4085	−	4.39665i	−1.10879	−	0.297098i
$220$	25.4224			1.71398
$221$	−14.4663	−	3.42433i	−0.973109	−	0.230346i
$222$	0.838387			0.0562688
$223$	5.88116	+	1.57585i	0.393832	+	0.105527i	0.450300	−	0.892878i	$-0.351317\pi$
$223$	5.88116	+	1.57585i	0.393832	+	0.105527i	−0.0564680	+	0.998404i	$0.517984\pi$
$224$	0.454288	+	3.45066i	0.0303534	+	0.230557i
$225$	7.92689	+	4.57659i	0.528459	+	0.305106i
$226$	1.41166	−	3.40805i	0.0939023	−	0.226700i
$227$	−1.84506	+	14.0146i	−0.122461	+	0.930184i	0.814356	+	0.580365i	$0.197090\pi$
$227$	−1.84506	+	14.0146i	−0.122461	+	0.930184i	−0.936817	+	0.349819i	$0.886243\pi$
$228$	−15.0998	−	1.98793i	−1.00001	−	0.131654i
$229$	12.3741	+	12.3741i	0.817703	+	0.817703i	0.985775	−	0.168071i	$-0.0537539\pi$
$229$	12.3741	+	12.3741i	0.817703	+	0.817703i	−0.168071	+	0.985775i	$0.553754\pi$
$230$	−1.58646	+	0.425090i	−0.104608	+	0.0280296i
$231$	2.96346	−	3.86205i	0.194981	−	0.254104i
$232$	0.679637	+	0.521504i	0.0446204	+	0.0342384i
$233$	−2.20428	+	5.32159i	−0.144407	+	0.348629i	−0.979489	−	0.201496i	$-0.935420\pi$
$233$	−2.20428	+	5.32159i	−0.144407	+	0.348629i	0.835083	+	0.550125i	$0.185420\pi$
$234$	−0.439140	−	0.626923i	−0.0287075	−	0.0409832i
$235$	8.58574	+	3.55633i	0.560072	+	0.231989i
$236$	−11.3814	−	3.04965i	−0.740868	−	0.198515i
$237$	−4.38526	−	7.59550i	−0.284853	−	0.493381i
$238$	1.16431	−	0.404828i	0.0754708	−	0.0262411i
$239$	17.4923			1.13149			0.565743	−	0.824582i	$-0.308589\pi$
$239$	17.4923			1.13149			0.565743	+	0.824582i	$0.308589\pi$
$240$	−3.63347	−	13.5603i	−0.234539	−	0.875313i
$241$	−9.03935	+	6.93613i	−0.582275	+	0.446796i	−0.857427	−	0.514605i	$-0.827939\pi$
$241$	−9.03935	+	6.93613i	−0.582275	+	0.446796i	0.275152	+	0.961401i	$0.411272\pi$
$242$		−	0.201368i		−	0.0129444i
$243$	−0.608761	−	0.793353i	−0.0390521	−	0.0508936i
$244$	20.5388	+	15.7600i	1.31486	+	1.00893i
$245$	−11.4893	+	14.9731i	−0.734023	+	0.956598i
$246$	−1.17315	−	1.17315i	−0.0747972	−	0.0747972i
$247$	18.0517	−	21.5209i	1.14860	−	1.36934i
$248$	0.530484	+	1.28070i	0.0336858	+	0.0813246i
$249$	8.09234	+	6.20947i	0.512832	+	0.393509i
$250$	3.28858	−	0.432950i	0.207988	−	0.0273821i
$251$	−19.1938	−	11.0815i	−1.21150	−	0.699460i	−0.248414	−	0.968654i	$-0.579909\pi$
$251$	−19.1938	−	11.0815i	−1.21150	−	0.699460i	−0.963086	+	0.269194i	$0.913243\pi$
$252$	−2.54355	−	1.05357i	−0.160229	−	0.0663689i
$253$	−1.83984	−	6.86637i	−0.115670	−	0.431685i
$254$	−0.817210	+	1.41545i	−0.0512763	+	0.0888132i
$255$	−13.8608	+	6.96293i	−0.867997	+	0.436035i
$256$	−6.25760	+	10.8385i	−0.391100	+	0.677405i
$257$	−8.18011	−	2.19185i	−0.510261	−	0.136724i	−0.00550303	−	0.999985i	$-0.501752\pi$
$257$	−8.18011	−	2.19185i	−0.510261	−	0.136724i	−0.504758	+	0.863261i	$0.668418\pi$
$258$	−0.0436174	−	0.331307i	−0.00271550	−	0.0206263i
$259$			5.56169i			0.345586i
$260$	25.2915	+	7.96948i	1.56851	+	0.494246i
$261$	−0.942661	+	0.390463i	−0.0583492	+	0.0241690i
$262$	−2.22279	+	2.89680i	−0.137324	+	0.178965i
$263$	3.64057	−	13.5868i	0.224487	−	0.837798i	−0.758122	−	0.652113i	$-0.773883\pi$
$263$	3.64057	−	13.5868i	0.224487	−	0.837798i	0.982609	−	0.185685i	$-0.0594505\pi$
$264$	−2.80331	+	0.751146i	−0.172532	+	0.0462298i
$265$	−1.16256	−	2.80668i	−0.0714157	−	0.172413i
$266$	−0.304014	+	2.30921i	−0.0186403	+	0.141587i
$267$	6.04244	+	7.87467i	0.369792	+	0.481922i
$268$			21.3396i			1.30352i
$269$	18.2070	−	13.9707i	1.11010	−	0.851809i	0.120083	−	0.992764i	$-0.461684\pi$
$269$	18.2070	−	13.9707i	1.11010	−	0.851809i	0.990016	+	0.140955i	$0.0450172\pi$
$270$	−0.771440	−	0.206707i	−0.0469484	−	0.0125798i
$271$	−6.92405	−	11.9928i	−0.420606	−	0.728511i	0.575393	−	0.817877i	$-0.304849\pi$
$271$	−6.92405	−	11.9928i	−0.420606	−	0.728511i	−0.995999	+	0.0893664i	$0.971516\pi$
$272$	14.6054	+	4.83806i	0.885585	+	0.293351i
$273$	4.15888	−	2.91317i	0.251707	−	0.176313i
$274$	−1.69430	+	1.69430i	−0.102356	+	0.102356i
$275$	4.12979	+	31.3688i	0.249035	+	1.89161i
$276$	−3.48168	+	2.01015i	−0.209572	+	0.120997i
$277$	9.14790	+	11.9218i	0.549644	+	0.716310i	0.982731	−	0.185042i	$-0.0592423\pi$
$277$	9.14790	+	11.9218i	0.549644	+	0.716310i	−0.433087	+	0.901352i	$0.642576\pi$
$278$	−4.34659	+	1.80042i	−0.260691	+	0.107982i
$279$	−1.63693	−	0.215506i	−0.0980006	−	0.0129020i
$280$	−4.29670	+	1.15130i	−0.256777	+	0.0688032i
$281$	−20.7252	−	20.7252i	−1.23636	−	1.23636i	−0.961476	−	0.274887i	$-0.911359\pi$
$281$	−20.7252	−	20.7252i	−1.23636	−	1.23636i	−0.274887	−	0.961476i	$-0.588641\pi$
$282$	−0.519919	−	0.0684486i	−0.0309607	−	0.00407605i
$283$	5.77462	+	4.43102i	0.343266	+	0.263397i	0.765978	−	0.642867i	$-0.222255\pi$
$283$	5.77462	+	4.43102i	0.343266	+	0.263397i	−0.422712	+	0.906264i	$0.638922\pi$
$284$	−14.7033	+	1.93573i	−0.872480	+	0.114864i
$285$		−	29.3088i		−	1.73610i
$286$	0.795171	−	2.52351i	0.0470194	−	0.149218i
$287$	7.78243	−	7.78243i	0.459383	−	0.459383i
$288$	1.23569	+	2.14028i	0.0728138	+	0.126117i
$289$	1.97014	−	16.8855i	0.115890	−	0.993262i
$290$	−0.407445	+	0.705715i	−0.0239260	+	0.0414410i
$291$	0.922578	−	0.922578i	0.0540825	−	0.0540825i
$292$	−26.3466	+	20.2164i	−1.54182	+	1.18308i
$293$	9.58754	+	5.53537i	0.560110	+	0.323380i	0.753190	−	0.657803i	$-0.228514\pi$
$293$	9.58754	+	5.53537i	0.560110	+	0.323380i	−0.193080	+	0.981183i	$0.561848\pi$
$294$	0.407558	−	0.983933i	0.0237693	−	0.0573841i
$295$	2.95969	−	22.4811i	0.172320	−	1.30890i
$296$	2.01851	−	2.63057i	0.117323	−	0.152899i
$297$	0.894651	−	3.33888i	0.0519129	−	0.193742i
$298$	−2.16000	−	2.16000i	−0.125125	−	0.125125i
$299$	0.322126	−	7.40777i	0.0186290	−	0.428402i
$300$	16.5318	−	6.84768i	0.954462	−	0.395351i
$301$	2.19783	−	0.289349i	0.126681	−	0.0166778i
$302$	3.27745	−	1.89224i	0.188596	−	0.108886i
$303$	−7.38320	+	5.66533i	−0.424154	+	0.325465i
$304$	−20.5567	+	20.5567i	−1.17901	+	1.17901i
$305$	−24.9100	+	43.1454i	−1.42634	+	2.47050i
$306$	0.653810	−	0.581961i	0.0373758	−	0.0332685i
$307$	−2.15212			−0.122828			−0.0614141	−	0.998112i	$-0.519561\pi$
$307$	−2.15212			−0.122828			−0.0614141	+	0.998112i	$0.519561\pi$
$308$	−2.46308	−	9.19236i	−0.140347	−	0.523783i
$309$	0.117910	+	0.895616i	0.00670767	+	0.0509498i
$310$	−1.14196	+	0.659311i	−0.0648590	+	0.0374464i
$311$	−6.33273	+	15.2886i	−0.359096	+	0.866934i	0.636332	+	0.771416i	$0.280451\pi$
$311$	−6.33273	+	15.2886i	−0.359096	+	0.866934i	−0.995428	+	0.0955188i	$0.969549\pi$
$312$	−3.02435	−	0.131513i	−0.171220	−	0.00744548i
$313$	−10.3964	−	25.0991i	−0.587639	−	1.41869i	−0.885754	−	0.464155i	$-0.846358\pi$
$313$	−10.3964	−	25.0991i	−0.587639	−	1.41869i	0.298115	−	0.954530i	$-0.403642\pi$
$314$	0.0382837	−	0.142877i	0.00216048	−	0.00806301i
$315$	1.37125	−	5.11758i	0.0772613	−	0.288343i
$316$	−16.9991	−	2.23797i	−0.956274	−	0.125896i
$317$	−4.97330	+	2.06001i	−0.279329	+	0.115702i	−0.517950	−	0.855411i	$-0.673305\pi$
$317$	−4.97330	+	2.06001i	−0.279329	+	0.115702i	0.238621	+	0.971113i	$0.423305\pi$
$318$	0.104359	+	0.136003i	0.00585215	+	0.00762666i
$319$	−3.05442	−	1.76347i	−0.171014	−	0.0987353i
$320$	−24.1165	−	9.98938i	−1.34815	−	0.558423i
$321$	−0.518476	−	1.93498i	−0.0289385	−	0.108000i
$322$	0.307412	+	0.532454i	0.0171314	+	0.0296725i
$323$	26.8389	+	17.6483i	1.49335	+	0.981977i
$324$	−1.95493			−0.108607
$325$	−5.72507	+	32.5019i	−0.317570	+	1.80288i
$326$	1.30887	+	0.542151i	0.0724915	+	0.0300270i
$327$	5.78968	−	3.34267i	0.320170	−	0.184850i
$328$	−6.50543	+	0.856456i	−0.359202	+	0.0472899i
$329$	0.454074	−	3.44904i	0.0250339	−	0.190151i
$330$	−1.05647	−	2.55054i	−0.0581566	−	0.140402i
$331$	13.1642	−	3.52732i	0.723567	−	0.193879i	0.121804	−	0.992554i	$-0.461132\pi$
$331$	13.1642	−	3.52732i	0.723567	−	0.193879i	0.601763	+	0.798675i	$0.294465\pi$
$332$	19.2612	−	5.16102i	1.05710	−	0.283248i
$333$	1.51131	+	3.64862i	0.0828191	+	0.199943i
$334$	0.137872	−	1.04724i	0.00754401	−	0.0573024i
$335$	−40.7146	+	5.36018i	−2.22448	+	0.292858i
$336$	−4.55116	+	2.62762i	−0.248286	+	0.143348i
$337$	24.2017	+	10.0247i	1.31835	+	0.546078i	0.927309	−	0.374296i	$-0.122116\pi$
$337$	24.2017	+	10.0247i	1.31835	+	0.546078i	0.391039	+	0.920374i	$0.372116\pi$
$338$	1.58215	−	2.26124i	0.0860577	−	0.122995i
$339$	17.3764			0.943756
$340$	−5.69640	+	29.7839i	−0.308931	+	1.61526i
$341$	−2.85358	−	4.94254i	−0.154530	−	0.267654i
$342$	0.428054	+	1.59752i	0.0231465	+	0.0863839i
$343$	15.6349	+	6.47618i	0.844204	+	0.349681i
$344$	−1.14454	−	0.660802i	−0.0617096	−	0.0356281i
$345$	−4.70978	−	6.13790i	−0.253566	−	0.330453i
$346$	−3.29341	+	1.36418i	−0.177055	+	0.0733386i
$347$	11.3750	+	1.49755i	0.610644	+	0.0803929i	0.429505	−	0.903065i	$-0.358688\pi$
$347$	11.3750	+	1.49755i	0.610644	+	0.0803929i	0.181140	+	0.983457i	$0.442021\pi$
$348$	−0.516259	+	1.92671i	−0.0276744	+	0.103282i
$349$	3.06765	−	11.4486i	0.164208	−	0.612832i	−0.833932	−	0.551867i	$-0.813916\pi$
$349$	3.06765	−	11.4486i	0.164208	−	0.612832i	0.998140	−	0.0609648i	$-0.0194177\pi$
$350$	−1.04722	−	2.52821i	−0.0559762	−	0.135138i
$351$	1.93673	−	3.04123i	0.103375	−	0.162329i
$352$	−3.26917	+	7.89247i	−0.174247	+	0.420670i
$353$	7.91515	−	4.56981i	0.421281	−	0.243227i	−0.274344	−	0.961632i	$-0.588461\pi$
$353$	7.91515	−	4.56981i	0.421281	−	0.243227i	0.695625	+	0.718405i	$0.255127\pi$
$354$	0.167013	+	1.26859i	0.00887664	+	0.0674248i
$355$	−7.38648	−	27.5667i	−0.392034	−	1.46309i
$356$	19.4043			1.02842
$357$	3.86061	+	4.33724i	0.204325	+	0.229551i
$358$	−0.213210	+	0.369291i	−0.0112685	+	0.0195177i
$359$	−19.1323	+	19.1323i	−1.00976	+	1.00976i	−0.00981175	+	0.999952i	$0.503123\pi$
$359$	−19.1323	+	19.1323i	−1.00976	+	1.00976i	−0.999952	+	0.00981175i	$0.996877\pi$
$360$	−2.50590	+	1.92285i	−0.132073	+	0.101343i
$361$	−36.1075	+	20.8467i	−1.90039	+	1.09719i
$362$	−0.703878	+	0.0926672i	−0.0369950	+	0.00487048i
$363$	0.876345	−	0.362994i	0.0459962	−	0.0190522i
$364$	0.431246	−	9.91715i	0.0226034	−	0.519800i
$365$	−45.1895	−	45.1895i	−2.36533	−	2.36533i
$366$	0.727619	−	2.71551i	0.0380333	−	0.141942i
$367$	−12.0469	+	15.6998i	−0.628843	+	0.819525i	−0.993763	−	0.111515i	$-0.964430\pi$
$367$	−12.0469	+	15.6998i	−0.628843	+	0.819525i	0.364920	+	0.931039i	$0.381097\pi$
$368$	−1.00166	+	7.60839i	−0.0522153	+	0.396615i
$369$	2.99072	−	7.22025i	0.155691	−	0.375871i
$370$	2.73151	+	1.57704i	0.142004	+	0.0819862i
$371$	−0.902216	+	0.692295i	−0.0468407	+	0.0359421i
$372$	−2.28233	+	2.28233i	−0.118333	+	0.118333i
$373$	0.146524	−	0.253786i	0.00758670	−	0.0131406i	−0.862207	−	0.506556i	$-0.830918\pi$
$373$	0.146524	−	0.253786i	0.00758670	−	0.0131406i	0.869794	+	0.493415i	$0.164252\pi$
$374$	2.97175	+	0.568369i	0.153666	+	0.0293897i
$375$	7.81229	+	13.5313i	0.403425	+	0.698753i
$376$	−1.46653	+	1.46653i	−0.0756305	+	0.0756305i
$377$	−2.48587	−	2.71189i	−0.128029	−	0.139670i
$378$			0.298968i			0.0153773i
$379$	−7.88359	+	1.03789i	−0.404953	+	0.0533131i	−0.330252	−	0.943893i	$-0.607134\pi$
$379$	−7.88359	+	1.03789i	−0.404953	+	0.0533131i	−0.0747012	+	0.997206i	$0.523800\pi$
$380$	−45.4565	−	34.8800i	−2.33187	−	1.78931i
$381$	−7.63309	−	1.00492i	−0.391055	−	0.0514834i
$382$	1.65459	+	1.65459i	0.0846560	+	0.0846560i
$383$	−32.2335	+	8.63694i	−1.64706	+	0.441327i	−0.958786	−	0.284129i	$-0.908296\pi$
$383$	−32.2335	+	8.63694i	−1.64706	+	0.441327i	−0.688269	+	0.725456i	$0.741629\pi$
$384$	6.36088	+	0.837426i	0.324602	+	0.0427347i
$385$	16.9197	−	7.00839i	0.862310	−	0.357180i
$386$	2.80285	+	3.65274i	0.142661	+	0.185920i
$387$	1.36321	−	0.787048i	0.0692957	−	0.0400079i
$388$	−0.332926	−	2.52882i	−0.0169018	−	0.128382i
$389$	4.06582	−	4.06582i	0.206145	−	0.206145i	−0.596481	−	0.802627i	$-0.703435\pi$
$389$	4.06582	−	4.06582i	0.206145	−	0.206145i	0.802627	+	0.596481i	$0.203435\pi$
$390$	−0.251477	−	2.86859i	−0.0127340	−	0.145256i
$391$	8.45664	−	0.616938i	0.427671	−	0.0311999i
$392$	−2.10600	−	3.64770i	−0.106369	−	0.184237i
$393$	−16.6136	−	4.45160i	−0.838045	−	0.224553i
$394$	−2.97133	+	2.27998i	−0.149693	+	0.114864i
$395$		−	32.9953i		−	1.66018i
$396$	−4.11374	−	5.36113i	−0.206723	−	0.269407i
$397$	−0.853422	+	6.48238i	−0.0428320	+	0.325341i	0.956593	+	0.291428i	$0.0941304\pi$
$397$	−0.853422	+	6.48238i	−0.0428320	+	0.325341i	−0.999425	+	0.0339134i	$0.989203\pi$
$398$	1.91315	+	4.61876i	0.0958977	+	0.231518i
$399$	−10.5976	+	2.83962i	−0.530544	+	0.142159i
$400$	8.84029	−	32.9924i	0.442015	−	1.64962i
$401$	−20.9217	+	27.2657i	−1.04478	+	1.36158i	−0.115043	+	0.993361i	$0.536700\pi$
$401$	−20.9217	+	27.2657i	−1.04478	+	1.36158i	−0.929737	+	0.368223i	$0.879966\pi$
$402$	2.14093	−	0.886800i	0.106780	−	0.0442296i
$403$	−1.28948	−	5.81163i	−0.0642336	−	0.289498i
$404$			18.1932i			0.905147i
$405$	−0.491049	−	3.72989i	−0.0244004	−	0.185340i
$406$	0.294652	+	0.0789517i	0.0146233	+	0.00391831i
$407$	−6.82559	+	11.8223i	−0.338332	+	0.586008i
$408$	−0.251875	−	3.45257i	−0.0124697	−	0.170928i
$409$	−10.4204	+	18.0486i	−0.515255	+	0.892448i	0.484588	+	0.874742i	$0.338969\pi$
$409$	−10.4204	+	18.0486i	−0.515255	+	0.892448i	−0.999843	+	0.0177054i	$0.994364\pi$
$410$	−1.61544	−	6.02891i	−0.0797810	−	0.297747i
$411$	−10.4277	−	4.31930i	−0.514362	−	0.213056i
$412$	1.52938	+	0.882989i	0.0753472	+	0.0435017i
$413$	−8.41557	+	1.10793i	−0.414103	+	0.0545177i
$414$	0.346357	+	0.265769i	0.0170225	+	0.0130618i
$415$	14.6850	+	35.4528i	0.720859	+	1.74031i
$416$	−5.72649	+	6.82700i	−0.280764	+	0.334721i
$417$	−15.6706	−	15.6706i	−0.767394	−	0.767394i
$418$	−3.48022	+	4.53551i	−0.170223	+	0.221839i
$419$	12.0221	+	9.22485i	0.587316	+	0.450663i	0.859181	−	0.511672i	$-0.170974\pi$
$419$	12.0221	+	9.22485i	0.587316	+	0.450663i	−0.271865	+	0.962335i	$0.587640\pi$
$420$	−6.30521	−	8.21711i	−0.307663	−	0.400954i
$421$		−	7.64123i		−	0.372411i	−0.982511	−	0.186205i	$-0.940381\pi$
$421$		−	7.64123i		−	0.372411i	0.982511	−	0.186205i	$-0.0596190\pi$
$422$	1.20489	−	0.924548i	0.0586533	−	0.0450063i
$423$	−0.639340	−	2.38605i	−0.0310858	−	0.116014i
$424$	0.677986			0.0329259
$425$	−37.6759	−	2.19052i	−1.82755	−	0.106256i
$426$	0.805222	+	1.39469i	0.0390131	+	0.0675727i
$427$	18.0142	+	4.82688i	0.871766	+	0.233589i
$428$	−3.61809	−	1.49866i	−0.174887	−	0.0724405i
$429$	12.4156	−	1.08842i	0.599430	−	0.0525495i
$430$	0.481093	−	1.16146i	0.0232004	−	0.0560107i
$431$	14.0813	+	10.8050i	0.678274	+	0.520458i	0.889474	−	0.456985i	$-0.151071\pi$
$431$	14.0813	+	10.8050i	0.678274	+	0.520458i	−0.211201	+	0.977443i	$0.567737\pi$
$432$	−2.27167	+	2.96050i	−0.109296	+	0.142437i
$433$	2.34292	−	0.627783i	0.112593	−	0.0301693i	−0.202082	−	0.979369i	$-0.564771\pi$
$433$	2.34292	−	0.627783i	0.112593	−	0.0301693i	0.314676	+	0.949199i	$0.398104\pi$
$434$	0.349038	+	0.349038i	0.0167543	+	0.0167543i
$435$	−3.80571	−	0.501031i	−0.182470	−	0.0240226i
$436$	1.70590	−	12.9576i	0.0816977	−	0.620556i
$437$	−6.13107	+	14.8017i	−0.293289	+	0.708062i
$438$	3.12311	+	1.80313i	0.149228	+	0.0861569i
$439$	−2.84755	−	21.6293i	−0.135906	−	1.03231i	−0.914444	−	0.404713i	$-0.867371\pi$
$439$	−2.84755	−	21.6293i	−0.135906	−	1.03231i	0.778537	−	0.627598i	$-0.215962\pi$
$440$	−10.5463	−	2.82587i	−0.502774	−	0.134718i
$441$	5.01670			0.238891
$442$	2.77827	+	1.49703i	0.132149	+	0.0712067i
$443$	25.8575			1.22853			0.614263	−	0.789102i	$-0.289454\pi$
$443$	25.8575			1.22853			0.614263	+	0.789102i	$0.289454\pi$
$444$	7.45742	+	1.99821i	0.353913	+	0.0948308i
$445$	4.87405	+	37.0221i	0.231052	+	1.75502i
$446$	−1.11939	−	0.646280i	−0.0530046	−	0.0306022i
$447$	5.50651	−	13.2939i	0.260449	−	0.628780i
$448$	−1.27545	+	9.68800i	−0.0602593	+	0.457715i
$449$	9.74838	+	1.28340i	0.460054	+	0.0605673i	0.356992	−	0.934108i	$-0.383802\pi$
$449$	9.74838	+	1.28340i	0.460054	+	0.0605673i	0.103063	+	0.994675i	$0.467136\pi$
$450$	−1.37401	−	1.37401i	−0.0647713	−	0.0647713i
$451$	26.0938	−	6.99182i	1.22871	−	0.329232i
$452$	20.6794	−	26.9500i	0.972678	−	1.26762i
$453$	14.1430	+	10.8523i	0.664495	+	0.509885i
$454$	1.14838	−	2.77243i	0.0538960	−	0.130116i
$455$	19.0296	−	1.66825i	0.892122	−	0.0782086i
$456$	6.04305	+	2.50311i	0.282992	+	0.117219i
$457$	37.9025	+	10.1559i	1.77300	+	0.475075i	0.989279	−	0.146035i	$-0.0466513\pi$
$457$	37.9025	+	10.1559i	1.77300	+	0.475075i	0.783723	+	0.621110i	$0.213318\pi$
$458$	−1.85750	−	3.21729i	−0.0867955	−	0.150334i
$459$	3.71125	+	1.79628i	0.173226	+	0.0838434i
$460$	−15.1246			−0.705190
$461$	−4.16152	−	15.5310i	−0.193821	−	0.723351i	−0.992569	−	0.121684i	$-0.961170\pi$
$461$	−4.16152	−	15.5310i	−0.193821	−	0.723351i	0.798748	−	0.601666i	$-0.205496\pi$
$462$	−0.819878	+	0.629115i	−0.0381442	+	0.0292691i
$463$		−	10.9404i		−	0.508442i	−0.967146	−	0.254221i	$-0.918181\pi$
$463$		−	10.9404i		−	0.508442i	0.967146	−	0.254221i	$-0.0818190\pi$
$464$	2.31785	+	3.02068i	0.107603	+	0.140232i
$465$	−4.92783	−	3.78126i	−0.228523	−	0.175352i
$466$	0.744397	−	0.970118i	0.0344835	−	0.0449398i
$467$	−5.86926	−	5.86926i	−0.271597	−	0.271597i	0.558146	−	0.829743i	$-0.311513\pi$
$467$	−5.86926	−	5.86926i	−0.271597	−	0.271597i	−0.829743	+	0.558146i	$0.811513\pi$
$468$	−2.41193	−	6.62310i	−0.111492	−	0.306153i
$469$	5.88285	+	14.2025i	0.271645	+	0.655809i
$470$	−1.56517	−	1.20099i	−0.0721958	−	0.0553978i
$471$	0.690805	−	0.0909462i	0.0318306	−	0.00419058i
$472$	4.38251	+	2.53024i	0.201721	+	0.116464i
$473$	5.02694	+	2.08223i	0.231139	+	0.0957409i
$474$	0.481896	+	1.79846i	0.0221342	+	0.0826060i
$475$	35.6544	−	61.7552i	1.63593	−	2.83352i
$476$	11.3213	−	0.825925i	0.518912	−	0.0378562i
$477$	−0.403757	+	0.699328i	−0.0184868	+	0.0320200i
$478$	−3.58693	−	0.961116i	−0.164063	−	0.0439604i
$479$	3.52761	+	26.7949i	0.161181	+	1.22429i	0.860489	+	0.509469i	$0.170158\pi$
$479$	3.52761	+	26.7949i	0.161181	+	1.22429i	−0.699308	+	0.714820i	$0.746508\pi$
$480$			9.29752i			0.424372i
$481$	−10.4965	+	9.62169i	−0.478600	+	0.438711i
$482$	2.23469	−	0.925639i	0.101787	−	0.0421617i
$483$	−1.76306	+	2.29766i	−0.0802220	+	0.104547i
$484$	0.479941	−	1.79116i	0.0218155	−	0.0814165i
$485$	4.74121	−	1.27040i	0.215287	−	0.0576860i
$486$	0.0812402	+	0.196131i	0.00368513	+	0.00889669i
$487$	−1.26485	+	9.60752i	−0.0573160	+	0.435358i	0.938595	+	0.345020i	$0.112128\pi$
$487$	−1.26485	+	9.60752i	−0.0573160	+	0.435358i	−0.995911	+	0.0903379i	$0.971205\pi$
$488$	−6.76853	−	8.82091i	−0.306397	−	0.399304i
$489$			6.67343i			0.301783i
$490$	3.17866	−	2.43907i	0.143597	−	0.110186i
$491$	37.6491	+	10.0881i	1.69908	+	0.455267i	0.972708	−	0.232033i	$-0.0745377\pi$
$491$	37.6491	+	10.0881i	1.69908	+	0.455267i	0.726373	+	0.687300i	$0.241204\pi$
$492$	−7.63903	−	13.2312i	−0.344394	−	0.596508i
$493$	2.75042	−	3.18330i	0.123873	−	0.143369i
$494$	−4.88410	+	3.42116i	−0.219746	+	0.153925i
$495$	9.19538	−	9.19538i	0.413302	−	0.413302i
$496$	0.804189	+	6.10842i	0.0361091	+	0.274276i
$497$	−9.25206	+	5.34168i	−0.415012	+	0.239607i
$498$	−1.31822	−	1.71793i	−0.0590706	−	0.0769823i
$499$	−36.5830	+	15.1532i	−1.63768	+	0.678349i	−0.996061	−	0.0886752i	$-0.971737\pi$
$499$	−36.5830	+	15.1532i	−1.63768	+	0.678349i	−0.641618	+	0.767024i	$0.721737\pi$
$500$	30.2837	+	3.98692i	1.35433	+	0.178301i
$501$	4.80607	−	1.28778i	0.214719	−	0.0575339i
$502$	3.32695	+	3.32695i	0.148489	+	0.148489i
$503$	28.8534	+	3.79862i	1.28651	+	0.169372i	0.742579	−	0.669759i	$-0.233603\pi$
$503$	28.8534	+	3.79862i	1.28651	+	0.169372i	0.543930	+	0.839131i	$0.316936\pi$
$504$	0.938061	+	0.719799i	0.0417845	+	0.0320624i
$505$	−34.7115	+	4.56986i	−1.54464	+	0.203356i
$506$			1.50909i			0.0670872i
$507$	12.6928	+	2.80925i	0.563709	+	0.124763i
$508$	−10.6426	+	10.6426i	−0.472190	+	0.472190i
$509$	4.37170	+	7.57201i	0.193772	+	0.335624i	0.946497	−	0.322711i	$-0.104594\pi$
$509$	4.37170	+	7.57201i	0.193772	+	0.335624i	−0.752725	+	0.658335i	$0.771261\pi$
$510$	3.22484	−	0.666218i	0.142798	−	0.0295006i
$511$	−11.9616	+	20.7181i	−0.529150	+	0.916515i
$512$	10.9520	−	10.9520i	0.484012	−	0.484012i
$513$	−6.18069	+	4.74261i	−0.272884	+	0.209391i
$514$	1.55696	+	0.898911i	0.0686746	+	0.0396493i
$515$	−1.30053	+	3.13976i	−0.0573082	+	0.138354i
$516$	0.401662	−	3.05092i	0.0176822	−	0.134309i
$517$	5.19805	−	6.77423i	0.228610	−	0.297930i
$518$	0.305587	−	1.14046i	0.0134267	−	0.0501091i
$519$	−11.8737	−	11.8737i	−0.521196	−	0.521196i
$520$	−9.60610	−	6.11739i	−0.421255	−	0.268265i
$521$	23.7101	−	9.82104i	1.03876	−	0.430268i	0.202892	−	0.979201i	$-0.434966\pi$
$521$	23.7101	−	9.82104i	1.03876	−	0.430268i	0.835866	+	0.548933i	$0.184966\pi$
$522$	0.214753	−	0.0282728i	0.00939950	−	0.00123747i
$523$	26.2787	−	15.1720i	1.14909	−	0.663427i	0.200424	−	0.979709i	$-0.435768\pi$
$523$	26.2787	−	15.1720i	1.14909	−	0.663427i	0.948665	+	0.316283i	$0.102435\pi$
$524$	−26.6758	+	20.4691i	−1.16534	+	0.894197i
$525$	9.11488	−	9.11488i	0.397806	−	0.397806i
$526$	−1.49305	+	2.58604i	−0.0651002	+	0.112757i
$527$	6.42990	−	2.23567i	0.280091	−	0.0973873i
$528$	−12.8990			−0.561357
$529$	−4.85826	−	18.1313i	−0.211229	−	0.788316i
$530$	0.0841795	+	0.639407i	0.00365652	+	0.0277741i
$531$	−5.21978	+	3.01364i	−0.226519	+	0.130781i
$532$	−8.20797	+	19.8158i	−0.355861	+	0.859123i
$533$	28.1513	+	1.22415i	1.21937	+	0.0530240i
$534$	−0.806374	−	1.94676i	−0.0348952	−	0.0842445i
$535$	1.95054	−	7.27952i	0.0843293	−	0.314721i
$536$	2.37204	−	8.85256i	0.102456	−	0.382373i
$537$	−1.99148	−	0.262183i	−0.0859386	−	0.0113140i
$538$	−4.50109	+	1.86441i	−0.194056	+	0.0803806i
$539$	10.5566	+	13.7576i	0.454704	+	0.592582i
$540$	−6.36927	−	3.67730i	−0.274090	−	0.158246i
$541$	−12.5948	−	5.21693i	−0.541492	−	0.224293i	0.0951361	−	0.995464i	$-0.469671\pi$
$541$	−12.5948	−	5.21693i	−0.541492	−	0.224293i	−0.636628	+	0.771171i	$0.719671\pi$
$542$	0.760883	+	2.83965i	0.0326827	+	0.121974i
$543$	−1.67212	−	2.89619i	−0.0717575	−	0.124288i
$544$	−8.51400	−	5.59850i	−0.365035	−	0.240034i
$545$	25.1507			1.07734
$546$	−1.01287	+	0.368857i	−0.0433469	+	0.0157856i
$547$	29.8876	+	12.3799i	1.27790	+	0.529324i	0.915357	−	0.402642i	$-0.131908\pi$
$547$	29.8876	+	12.3799i	1.27790	+	0.529324i	0.362544	+	0.931967i	$0.381908\pi$
$548$	−19.1089	+	11.0325i	−0.816293	+	0.471287i
$549$	13.1294	−	1.72852i	0.560349	−	0.0737714i
$550$	0.876716	−	6.65932i	0.0373833	−	0.283954i
$551$	3.04194	+	7.34389i	0.129591	+	0.312860i
$552$	1.66779	−	0.446882i	0.0709857	−	0.0190206i
$553$	−11.9306	+	3.19680i	−0.507342	+	0.135942i
$554$	−1.22080	−	2.94728i	−0.0518669	−	0.125218i
$555$	−1.93927	+	14.7302i	−0.0823173	+	0.625262i
$556$	−42.9538	+	5.65498i	−1.82165	+	0.239825i
$557$	36.6553	−	21.1629i	1.55313	−	0.896702i	0.555250	−	0.831684i	$-0.312623\pi$
$557$	36.6553	−	21.1629i	1.55313	−	0.896702i	0.997884	−	0.0650185i	$-0.0207107\pi$
$558$	0.323824	+	0.134132i	0.0137086	+	0.00567827i
$559$	4.34831	+	3.64736i	0.183914	+	0.154267i
$560$	−19.7706			−0.835459
$561$	2.88347	+	13.9575i	0.121740	+	0.589285i
$562$	3.11111	+	5.38861i	0.131234	+	0.227305i
$563$	−4.90910	−	18.3210i	−0.206894	−	0.772139i	−0.988864	−	0.148823i	$-0.952452\pi$
$563$	−4.90910	−	18.3210i	−0.206894	−	0.772139i	0.781970	−	0.623316i	$-0.214215\pi$
$564$	−4.46152	−	1.84802i	−0.187864	−	0.0778157i
$565$	56.6131	+	32.6856i	2.38173	+	1.37509i
$566$	−0.940666	−	1.22590i	−0.0395392	−	0.0515284i
$567$	−1.30110	+	0.538931i	−0.0546409	+	0.0226330i
$568$	6.31471	+	0.831347i	0.264959	+	0.0348826i
$569$	0.760917	−	2.83978i	0.0318993	−	0.119050i	−0.948140	−	0.317852i	$-0.897038\pi$
$569$	0.760917	−	2.83978i	0.0318993	−	0.119050i	0.980040	+	0.198802i	$0.0637051\pi$
$570$	−1.61037	+	6.00998i	−0.0674509	+	0.251730i
$571$	−4.96491	−	11.9863i	−0.207775	−	0.501613i	0.785297	−	0.619119i	$-0.212510\pi$
$571$	−4.96491	−	11.9863i	−0.207775	−	0.501613i	−0.993072	+	0.117506i	$0.962510\pi$
$572$	13.0875	−	20.5513i	0.547217	−	0.859292i
$573$	−4.21806	+	10.1833i	−0.176212	+	0.425413i
$574$	−2.02345	+	1.16824i	−0.0844572	+	0.0487614i
$575$	−2.45695	−	18.6624i	−0.102462	−	0.778275i
$576$	1.79584	+	6.70217i	0.0748268	+	0.279257i
$577$	11.1342			0.463525			0.231762	−	0.972772i	$-0.425551\pi$
$577$	11.1342			0.463525			0.231762	+	0.972772i	$0.425551\pi$
$578$	−1.33176	+	3.35424i	−0.0553940	+	0.139518i
$579$	−10.8440	+	18.7824i	−0.450663	+	0.780571i
$580$	−5.30620	+	5.30620i	−0.220328	+	0.220328i
$581$	11.3964	−	8.74477i	0.472803	−	0.362794i
$582$	−0.239872	+	0.138490i	−0.00994303	+	0.00574061i
$583$	−2.76743	+	0.364339i	−0.114615	+	0.0150894i
$584$	13.1768	−	5.45803i	0.545262	−	0.225855i
$585$	12.0306	−	6.26543i	0.497405	−	0.259044i
$586$	−1.66185	−	1.66185i	−0.0686506	−	0.0686506i
$587$	10.7414	−	40.0876i	0.443347	−	1.65459i	−0.276917	−	0.960894i	$-0.589313\pi$
$587$	10.7414	−	40.0876i	0.443347	−	1.65459i	0.720264	−	0.693700i	$-0.244021\pi$
$588$	5.97032	−	7.78067i	0.246212	−	0.320869i
$589$	−1.67892	+	12.7527i	−0.0691787	+	0.525465i
$590$	−1.84213	+	4.44729i	−0.0758392	+	0.183092i
$591$	−15.2786	−	8.82109i	−0.628477	−	0.362851i
$592$	11.6917	−	8.97136i	0.480526	−	0.368721i
$593$	−17.0819	+	17.0819i	−0.701469	+	0.701469i	−0.964726	−	0.263256i	$-0.915203\pi$
$593$	−17.0819	+	17.0819i	−0.701469	+	0.701469i	0.263256	+	0.964726i	$0.415203\pi$
$594$	−0.366910	+	0.635506i	−0.0150545	+	0.0260751i
$595$	4.41956	+	21.3929i	0.181184	+	0.877024i
$596$	−14.0650	−	24.3612i	−0.576124	−	0.997876i
$597$	−16.6519	+	16.6519i	−0.681517	+	0.681517i
$598$	−0.473074	+	1.50132i	−0.0193454	+	0.0613935i
$599$		−	3.31686i		−	0.135523i	−0.997702	−	0.0677617i	$-0.978414\pi$
$599$		−	3.31686i		−	0.135523i	0.997702	−	0.0677617i	$-0.0215858\pi$
$600$	−7.61923	+	1.00309i	−0.311054	+	0.0409510i
$601$	−21.8949	−	16.8005i	−0.893112	−	0.685309i	0.0566127	−	0.998396i	$-0.481970\pi$
$601$	−21.8949	−	16.8005i	−0.893112	−	0.685309i	−0.949724	+	0.313088i	$0.898637\pi$
$602$	−0.466579	−	0.0614262i	−0.0190163	−	0.00250355i
$603$	7.71862	+	7.71862i	0.314327	+	0.314327i
$604$	33.6628	−	9.01991i	1.36972	−	0.367015i
$605$	3.53798	+	0.465784i	0.143839	+	0.0189368i
$606$	1.82526	−	0.756047i	0.0741461	−	0.0307123i
$607$	9.23107	+	12.0302i	0.374677	+	0.488289i	0.942192	−	0.335074i	$-0.108761\pi$
$607$	9.23107	+	12.0302i	0.374677	+	0.488289i	−0.567514	+	0.823364i	$0.692095\pi$
$608$	16.6741	−	9.62677i	0.676222	−	0.390417i
$609$	0.187556	+	1.42463i	0.00760016	+	0.0577289i
$610$	7.47859	−	7.47859i	0.302799	−	0.302799i
$611$	7.29488	−	5.10984i	0.295119	−	0.206722i
$612$	7.20266	−	3.61823i	0.291150	−	0.146258i
$613$	−13.4681	−	23.3275i	−0.543973	−	0.942189i	−0.998671	−	0.0515432i	$-0.983586\pi$
$613$	−13.4681	−	23.3275i	−0.543973	−	0.942189i	0.454698	−	0.890646i	$-0.349747\pi$
$614$	0.441309	+	0.118248i	0.0178098	+	0.00477211i
$615$	23.3255	−	17.8983i	0.940574	−	0.721728i
$616$			4.08716i			0.164676i
$617$	16.1530	+	21.0510i	0.650296	+	0.847482i	0.995859	−	0.0909135i	$-0.0289787\pi$
$617$	16.1530	+	21.0510i	0.650296	+	0.847482i	−0.345563	+	0.938396i	$0.612312\pi$
$618$	0.0250313	−	0.190131i	0.00100690	−	0.00764820i
$619$	3.03154	+	7.31878i	0.121848	+	0.294167i	0.973020	−	0.230719i	$-0.0741079\pi$
$619$	3.03154	+	7.31878i	0.121848	+	0.294167i	−0.851172	+	0.524886i	$0.824108\pi$
$620$	−11.7291	+	3.14280i	−0.471052	+	0.126218i
$621$	−0.532258	+	1.98641i	−0.0213588	+	0.0797121i
$622$	2.13860	−	2.78708i	0.0857501	−	0.111752i
$623$	12.9144	−	5.34932i	0.517405	−	0.214316i
$624$	−12.8326	−	4.04361i	−0.513714	−	0.161874i
$625$			13.0149i			0.520595i
$626$	0.752787	+	5.71798i	0.0300874	+	0.228537i
$627$	−26.0119	−	6.96987i	−1.03881	−	0.278350i
$628$	0.681065	−	1.17964i	0.0271775	−	0.0470727i
$629$	−12.3211	−	10.6456i	−0.491276	−	0.424469i
$630$	−0.562370	+	0.974054i	−0.0224054	+	0.0388072i
$631$	3.34222	+	12.4733i	0.133052	+	0.496555i	0.999998	−	0.00184554i	$-0.000587453\pi$
$631$	3.34222	+	12.4733i	0.133052	+	0.496555i	−0.866947	+	0.498401i	$0.833921\pi$
$632$	6.80317	+	2.81797i	0.270616	+	0.112093i
$633$	6.19557	+	3.57701i	0.246252	+	0.142174i
$634$	1.13300	−	0.149162i	0.0449972	−	0.00592399i
$635$	−22.9787	−	17.6322i	−0.911883	−	0.699712i
$636$	0.604118	+	1.45847i	0.0239548	+	0.0578321i
$637$	6.18944	+	16.9961i	0.245235	+	0.673408i
$638$	0.529437	+	0.529437i	0.0209606	+	0.0209606i
$639$	−4.61808	+	6.01840i	−0.182688	+	0.238084i
$640$	19.1488	+	14.6934i	0.756924	+	0.580808i
$641$	−9.26983	−	12.0807i	−0.366136	−	0.477158i	0.573562	−	0.819162i	$-0.305561\pi$
$641$	−9.26983	−	12.0807i	−0.366136	−	0.477158i	−0.939699	+	0.342004i	$0.888894\pi$
$642$			0.425269i			0.0167840i
$643$	−22.2990	+	17.1107i	−0.879388	+	0.674779i	−0.946408	−	0.322973i	$-0.895318\pi$
$643$	−22.2990	+	17.1107i	−0.879388	+	0.674779i	0.0670196	+	0.997752i	$0.478651\pi$
$644$	1.46537	+	5.46884i	0.0577437	+	0.215503i
$645$	5.92186			0.233173
$646$	−4.53382	−	5.09357i	−0.178381	−	0.200404i
$647$	5.73367	+	9.93101i	0.225414	+	0.390428i	0.956444	−	0.291917i	$-0.0942932\pi$
$647$	5.73367	+	9.93101i	0.225414	+	0.390428i	−0.731030	+	0.682346i	$0.760960\pi$
$648$	0.810988	+	0.217304i	0.0318586	+	0.00853649i
$649$	−19.2484	−	7.97294i	−0.755565	−	0.312965i
$650$	2.95978	−	6.35019i	0.116092	−	0.249075i
$651$	−0.889806	+	2.14818i	−0.0348743	+	0.0841939i
$652$	10.3502	+	7.94196i	0.405344	+	0.311031i
$653$	21.1457	−	27.5576i	0.827496	−	1.07841i	−0.168202	−	0.985753i	$-0.553796\pi$
$653$	21.1457	−	27.5576i	0.827496	−	1.07841i	0.995698	−	0.0926612i	$-0.0295373\pi$
$654$	−1.37088	+	0.367326i	−0.0536056	+	0.0143636i
$655$	−45.7543	−	45.7543i	−1.78777	−	1.78777i
$656$	−28.9137	−	3.80656i	−1.12889	−	0.148621i
$657$	−2.21729	+	16.8420i	−0.0865049	+	0.657070i
$658$	−0.282618	+	0.682301i	−0.0110176	+	0.0265989i
$659$	16.9031	+	9.75901i	0.658451	+	0.380157i	0.791687	−	0.610928i	$-0.209203\pi$
$659$	16.9031	+	9.75901i	0.658451	+	0.380157i	−0.133235	+	0.991084i	$0.542537\pi$
$660$	−3.31829	−	25.2049i	−0.129164	−	0.981100i
$661$	−33.9820	−	9.10545i	−1.32175	−	0.354161i	−0.472115	−	0.881537i	$-0.656509\pi$
$661$	−33.9820	−	9.10545i	−1.32175	−	0.354161i	−0.849632	+	0.527376i	$0.823176\pi$
$662$	−2.89321			−0.112448
$663$	−1.50681	+	14.7895i	−0.0585195	+	0.574377i
$664$	−8.56403			−0.332349
$665$	−39.8690	−	10.6829i	−1.54605	−	0.414264i
$666$	−0.109431	−	0.831214i	−0.00424038	−	0.0322089i
$667$	1.81717	+	1.04915i	0.0703613	+	0.0406231i
$668$	3.72235	−	8.98656i	0.144022	−	0.347700i
$669$	0.794725	−	6.03654i	0.0307258	−	0.233386i
$670$	8.64335	+	1.13792i	0.333922	+	0.0439616i
$671$	32.3682	+	32.3682i	1.24956	+	1.24956i
$672$	3.36184	−	0.900803i	0.129686	−	0.0347492i
$673$	21.4966	−	28.0149i	0.828634	−	1.07990i	−0.166945	−	0.985966i	$-0.553390\pi$
$673$	21.4966	−	28.0149i	0.828634	−	1.07990i	0.995579	−	0.0939301i	$-0.0299430\pi$
$674$	−4.41192	−	3.38539i	−0.169941	−	0.130400i
$675$	3.50277	−	8.45644i	0.134822	−	0.325489i
$676$	19.4626	−	16.3427i	0.748562	−	0.628566i
$677$	7.11546	+	2.94732i	0.273469	+	0.113275i	0.515204	−	0.857068i	$-0.327716\pi$
$677$	7.11546	+	2.94732i	0.273469	+	0.113275i	−0.241734	+	0.970342i	$0.577716\pi$
$678$	−3.56316	−	0.954745i	−0.136842	−	0.0366667i
$679$	−0.918717	−	1.59127i	−0.0352571	−	0.0610672i
$680$	5.67378	−	11.7224i	0.217580	−	0.449535i
$681$	14.1356			0.541676
$682$	0.313579	+	1.17029i	0.0120076	+	0.0448129i
$683$	−33.8397	+	25.9661i	−1.29484	+	0.993566i	−0.295572	+	0.955320i	$0.595510\pi$
$683$	−33.8397	+	25.9661i	−1.29484	+	0.993566i	−0.999268	+	0.0382457i	$0.987823\pi$
$684$			15.2301i			0.582337i
$685$	−25.8493	−	33.6874i	−0.987650	−	1.28713i
$686$	−2.85021	−	2.18704i	−0.108822	−	0.0835018i
$687$	10.6531	−	13.8834i	0.406441	−	0.529684i
$688$	−4.15350	−	4.15350i	−0.158351	−	0.158351i
$689$	−2.86739	−	0.505078i	−0.109239	−	0.0192420i
$690$	0.628528	+	1.51740i	0.0239276	+	0.0577664i
$691$	2.12320	+	1.62919i	0.0807705	+	0.0619774i	0.648357	−	0.761336i	$-0.275456\pi$
$691$	2.12320	+	1.62919i	0.0807705	+	0.0619774i	−0.567587	+	0.823313i	$0.692123\pi$
$692$	−32.5462	+	4.28479i	−1.23722	+	0.162883i
$693$	−4.21582	−	2.43400i	−0.160146	−	0.0924602i
$694$	−2.25025	−	0.932085i	−0.0854184	−	0.0353815i
$695$	−21.5787	−	80.5327i	−0.818526	−	3.05478i
$696$	0.428332	−	0.741893i	0.0162359	−	0.0281214i
$697$	2.34451	+	32.1372i	0.0888046	+	1.21728i
$698$	−1.25809	+	2.17908i	−0.0476194	+	0.0824792i
$699$	5.56378	+	1.49081i	0.210442	+	0.0563876i
$700$	−3.28924	−	24.9842i	−0.124322	−	0.944316i
$701$		−	39.2595i		−	1.48281i	−0.671056	−	0.741406i	$-0.734159\pi$
$701$		−	39.2595i		−	1.48281i	0.671056	−	0.741406i	$-0.265841\pi$
$702$	−0.564240	+	0.517213i	−0.0212959	+	0.0195210i
$703$	28.4249	−	11.7740i	1.07207	−	0.444064i
$704$	−14.6008	+	19.0281i	−0.550288	+	0.717150i
$705$	2.40524	−	8.97648i	0.0905866	−	0.338074i
$706$	−1.87415	+	0.502176i	−0.0705344	+	0.0188996i
$707$	5.01547	+	12.1084i	0.188626	+	0.455383i
$708$	−1.53798	+	11.6821i	−0.0578008	+	0.439041i
$709$	−2.50184	−	3.26046i	−0.0939585	−	0.122449i	0.744008	−	0.668171i	$-0.232922\pi$
$709$	−2.50184	−	3.26046i	−0.0939585	−	0.122449i	−0.837967	+	0.545721i	$0.816256\pi$
$710$			6.05861i			0.227376i
$711$	−6.95813	+	5.33916i	−0.260950	+	0.200234i
$712$	−8.04970	−	2.15691i	−0.301675	−	0.0808337i
$713$	1.69769	+	2.94048i	0.0635790	+	0.110122i
$714$	−0.553337	−	1.10150i	−0.0207081	−	0.0412228i
$715$	42.4979	+	19.8080i	1.58933	+	0.740778i
$716$	−2.77667	+	2.77667i	−0.103769	+	0.103769i
$717$	−2.28321	−	17.3427i	−0.0852680	−	0.647675i
$718$	4.97444	−	2.87199i	0.185644	−	0.107182i
$719$	13.1141	+	17.0907i	0.489075	+	0.637374i	0.971069	−	0.238800i	$-0.0767540\pi$
$719$	13.1141	+	17.0907i	0.489075	+	0.637374i	−0.481994	+	0.876174i	$0.660087\pi$
$720$	−12.9700	+	5.37236i	−0.483364	+	0.200216i
$721$	1.26129	+	0.166052i	0.0469730	+	0.00618411i
$722$	8.54953	−	2.29084i	0.318180	−	0.0852562i
$723$	8.05667	+	8.05667i	0.299631	+	0.299631i
$724$	−6.48183	−	0.853349i	−0.240895	−	0.0317145i
$725$	−7.40933	−	5.68538i	−0.275176	−	0.211150i
$726$	−0.199646	+	0.0262838i	−0.00740954	+	0.000975485i
$727$		−	24.7524i		−	0.918017i	−0.888432	−	0.459008i	$-0.848205\pi$
$727$		−	24.7524i		−	0.918017i	0.888432	−	0.459008i	$-0.151795\pi$
$728$	−1.28125	+	4.06611i	−0.0474865	+	0.150700i
$729$	−0.707107	+	0.707107i	−0.0261891	+	0.0261891i
$730$	6.78351	+	11.7494i	0.251069	+	0.434864i
$731$	−3.56585	+	5.42281i	−0.131888	+	0.200570i
$732$	12.9443	−	22.4202i	0.478435	−	0.828673i
$733$	19.1764	−	19.1764i	0.708296	−	0.708296i	−0.257881	−	0.966177i	$-0.583024\pi$
$733$	19.1764	−	19.1764i	0.708296	−	0.708296i	0.966177	+	0.257881i	$0.0830241\pi$
$734$	3.33293	−	2.55745i	0.123021	−	0.0943971i
$735$	16.3447	+	9.43660i	0.602882	+	0.348074i
$736$	1.94494	−	4.69550i	0.0716914	−	0.173078i
$737$	−4.92504	+	37.4094i	−0.181416	+	1.37799i
$738$	−1.00999	+	1.31624i	−0.0371781	+	0.0484514i
$739$	0.499618	−	1.86460i	0.0183787	−	0.0685904i	−0.956127	−	0.292951i	$-0.905363\pi$
$739$	0.499618	−	1.86460i	0.0183787	−	0.0685904i	0.974506	+	0.224361i	$0.0720294\pi$
$740$	20.5379	+	20.5379i	0.754990	+	0.754990i
$741$	−23.6930	−	15.0883i	−0.870384	−	0.554281i
$742$	0.223044	−	0.0923879i	0.00818820	−	0.00339166i
$743$	24.5252	−	3.22880i	0.899743	−	0.118453i	0.333556	−	0.942730i	$-0.391751\pi$
$743$	24.5252	−	3.22880i	0.899743	−	0.118453i	0.566187	+	0.824277i	$0.308418\pi$
$744$	1.20050	−	0.693111i	0.0440126	−	0.0254107i
$745$	42.9468	−	32.9542i	1.57345	−	1.20735i
$746$	−0.0439900	+	0.0439900i	−0.00161059	+	0.00161059i
$747$	5.10009	−	8.83361i	0.186602	−	0.323205i
$748$	25.0789	+	12.1385i	0.916977	+	0.443827i
$749$	−2.82115			−0.103082
$750$	−0.858492	−	3.20393i	−0.0313477	−	0.116991i
$751$	1.29725	+	9.85358i	0.0473372	+	0.359562i	0.998677	+	0.0514187i	$0.0163743\pi$
$751$	1.29725	+	9.85358i	0.0473372	+	0.359562i	−0.951340	+	0.308143i	$0.900292\pi$
$752$	−7.98296	+	4.60897i	−0.291109	+	0.168072i
$753$	−8.48144	+	20.4760i	−0.309081	+	0.746187i
$754$	0.360741	+	0.692679i	0.0131374	+	0.0252259i
$755$	25.6650	+	61.9607i	0.934044	+	2.25498i
$756$	−0.712560	+	2.65931i	−0.0259156	+	0.0967182i
$757$	−10.6911	+	39.8998i	−0.388575	+	1.45018i	0.443878	+	0.896087i	$0.353602\pi$
$757$	−10.6911	+	39.8998i	−0.388575	+	1.45018i	−0.832454	+	0.554095i	$0.813064\pi$
$758$	1.67362	+	0.220336i	0.0607884	+	0.00800295i
$759$	−6.56748	+	2.72034i	−0.238385	+	0.0987421i
$760$	14.9801	+	19.5225i	0.543386	+	0.708155i
$761$	6.38406	+	3.68584i	0.231422	+	0.133612i	0.611228	−	0.791455i	$-0.290676\pi$
$761$	6.38406	+	3.68584i	0.231422	+	0.133612i	−0.379806	+	0.925066i	$0.624009\pi$
$762$	1.51001	+	0.625465i	0.0547018	+	0.0226582i
$763$	−2.43676	−	9.09413i	−0.0882168	−	0.329230i
$764$	10.7739	+	18.6610i	0.389787	+	0.675132i
$765$	8.71255	+	12.8334i	0.315003	+	0.463992i
$766$	7.08427			0.255965
$767$	−16.6499	−	13.9659i	−0.601192	−	0.504280i
$768$	11.5625	+	4.78936i	0.417227	+	0.172821i
$769$	8.19135	−	4.72928i	0.295388	−	0.170542i	−0.344981	−	0.938610i	$-0.612115\pi$
$769$	8.19135	−	4.72928i	0.295388	−	0.170542i	0.640369	+	0.768067i	$0.278781\pi$
$770$	−3.85459	+	0.507467i	−0.138910	+	0.0182878i
$771$	−1.10538	+	8.39622i	−0.0398094	+	0.302383i
$772$	16.2253	+	39.1713i	0.583961	+	1.40981i
$773$	26.1371	−	7.00341i	0.940085	−	0.251895i	0.243935	−	0.969792i	$-0.421562\pi$
$773$	26.1371	−	7.00341i	0.940085	−	0.251895i	0.696150	+	0.717896i	$0.254895\pi$
$774$	−0.322780	+	0.0864886i	−0.0116021	+	0.00310877i
$775$	−5.78328	−	13.9621i	−0.207741	−	0.501532i
$776$	−0.142984	+	1.08607i	−0.00513281	+	0.0389876i
$777$	5.51411	−	0.725946i	0.197817	−	0.0260432i
$778$	−1.05712	+	0.610330i	−0.0378997	+	0.0218814i
$779$	−56.2500	−	23.2995i	−2.01537	−	0.834792i
$780$	4.60010	−	26.1153i	0.164710	−	0.935079i
$781$	−26.2224			−0.938310
$782$	−1.76799	−	0.338142i	−0.0632233	−	0.0120919i
$783$	0.510164	+	0.883630i	0.0182318	+	0.0315784i
$784$	−4.84521	−	18.0826i	−0.173043	−	0.645807i
$785$	2.42175	+	1.00312i	0.0864359	+	0.0358029i
$786$	3.16215	+	1.82567i	0.112790	+	0.0651193i
$787$	15.3740	+	20.0357i	0.548023	+	0.714197i	0.982453	−	0.186508i	$-0.0597171\pi$
$787$	15.3740	+	20.0357i	0.548023	+	0.714197i	−0.434431	+	0.900705i	$0.643050\pi$
$788$	−31.8639	+	13.1985i	−1.13511	+	0.470176i
$789$	−13.9458	−	1.83599i	−0.496482	−	0.0653631i
$790$	−1.81293	+	6.76594i	−0.0645011	+	0.240721i
$791$	6.33358	−	23.6373i	0.225196	−	0.840444i
$792$	1.11063	+	2.68129i	0.0394644	+	0.0952754i
$793$	22.0547	+	42.3484i	0.783184	+	1.50384i
$794$	0.531174	−	1.28237i	0.0188507	−	0.0455096i
$795$	−2.63092	+	1.51896i	−0.0933092	+	0.0538721i
$796$	6.00908	+	45.6435i	0.212986	+	1.61779i
$797$	4.56853	+	17.0500i	0.161826	+	0.603942i	0.998424	+	0.0561246i	$0.0178744\pi$
$797$	4.56853	+	17.0500i	0.161826	+	0.603942i	−0.836598	+	0.547817i	$0.815459\pi$
$798$	2.32914			0.0824507
$799$	6.77170	+	7.60774i	0.239566	+	0.269142i
$800$	−11.3105	+	19.5904i	−0.399887	+	0.692625i
$801$	7.01860	−	7.01860i	0.247990	−	0.247990i
$802$	5.78826	−	4.44149i	0.204391	−	0.156834i
$803$	−50.8527	+	29.3598i	−1.79455	+	1.03609i
$804$	21.1570	−	2.78538i	0.746152	−	0.0982327i
$805$	−10.0661	+	4.16952i	−0.354784	+	0.146956i
$806$	−0.0549026	+	1.26257i	−0.00193386	+	0.0444721i
$807$	−16.2277	−	16.2277i	−0.571241	−	0.571241i
$808$	2.02230	−	7.54731i	0.0711441	−	0.265513i
$809$	26.0326	−	33.9264i	0.915258	−	1.19279i	−0.0655572	−	0.997849i	$-0.520882\pi$
$809$	26.0326	−	33.9264i	0.915258	−	1.19279i	0.980815	−	0.194939i	$-0.0624508\pi$
$810$	−0.104245	+	0.791821i	−0.00366280	+	0.0278218i
$811$	5.99782	−	14.4800i	0.210612	−	0.508462i	−0.782906	−	0.622141i	$-0.786263\pi$
$811$	5.99782	−	14.4800i	0.210612	−	0.508462i	0.993518	+	0.113678i	$0.0362633\pi$
$812$	2.43274	+	1.40454i	0.0853725	+	0.0492898i
$813$	−10.9864	+	8.43018i	−0.385311	+	0.295659i
$814$	2.04921	−	2.04921i	0.0718248	−	0.0718248i
$815$	−12.5530	+	21.7424i	−0.439711	+	0.761602i
$816$	2.89028	−	15.1120i	0.101180	−	0.529025i
$817$	−6.13157	−	10.6202i	−0.214516	−	0.371553i
$818$	3.12846	−	3.12846i	0.109384	−	0.109384i
$819$	−3.43109	−	3.74306i	−0.119892	−	0.130793i
$820$		−	57.4772i		−	2.00719i
$821$	54.6258	−	7.19163i	1.90646	−	0.250990i	0.917337	−	0.398112i	$-0.130334\pi$
$821$	54.6258	−	7.19163i	1.90646	−	0.250990i	0.989118	+	0.147122i	$0.0470011\pi$
$822$	1.90096	+	1.45865i	0.0663035	+	0.0508764i
$823$	−23.2627	−	3.06259i	−0.810886	−	0.106755i	−0.286330	−	0.958131i	$-0.592435\pi$
$823$	−23.2627	−	3.06259i	−0.810886	−	0.106755i	−0.524556	+	0.851376i	$0.675769\pi$
$824$	−0.536301	−	0.536301i	−0.0186829	−	0.0186829i
$825$	30.5614	−	8.18891i	1.06401	−	0.285101i
$826$	1.78655	+	0.235204i	0.0621620	+	0.00818378i
$827$	−5.79817	+	2.40168i	−0.201622	+	0.0835146i	−0.481209	−	0.876606i	$-0.659802\pi$
$827$	−5.79817	+	2.40168i	−0.201622	+	0.0835146i	0.279587	+	0.960120i	$0.409802\pi$
$828$	2.44740	+	3.18951i	0.0850530	+	0.110843i
$829$	36.9237	−	21.3179i	1.28241	−	0.740401i	0.305124	−	0.952313i	$-0.401302\pi$
$829$	36.9237	−	21.3179i	1.28241	−	0.740401i	0.977289	+	0.211912i	$0.0679689\pi$
$830$	−1.06332	−	8.07672i	−0.0369084	−	0.280347i
$831$	10.6257	−	10.6257i	0.368603	−	0.368603i
$832$	−20.4906	+	14.3530i	−0.710384	+	0.497602i
$833$	−18.4833	+	9.28503i	−0.640409	+	0.321707i
$834$	2.35236	+	4.07440i	0.0814554	+	0.141085i
$835$	18.0808	+	4.84473i	0.625711	+	0.167659i
$836$	−41.7664	+	32.0485i	−1.44452	+	1.10842i
$837$			1.65106i			0.0570689i
$838$	−1.95835	−	2.55217i	−0.0676501	−	0.0881634i
$839$	2.70167	−	20.5212i	0.0932721	−	0.708472i	−0.879366	−	0.476146i	$-0.842033\pi$
$839$	2.70167	−	20.5212i	0.0932721	−	0.708472i	0.972638	−	0.232325i	$-0.0746334\pi$
$840$	1.70228	+	4.10967i	0.0587342	+	0.141797i
$841$	−27.0063	+	7.23630i	−0.931250	+	0.249528i
$842$	−0.419847	+	1.56689i	−0.0144689	+	0.0539986i
$843$	−17.8427	+	23.2531i	−0.614537	+	0.800880i
$844$	12.9210	−	5.35207i	0.444761	−	0.184226i
$845$	36.0696	+	33.0284i	1.24083	+	1.13621i
$846$			0.524405i			0.0180294i
$847$	−0.174362	−	1.32441i	−0.00599114	−	0.0455072i
$848$	2.91066	+	0.779910i	0.0999526	+	0.0267822i
$849$	3.63938	−	6.30359i	0.124903	−	0.216338i
$850$	7.60537	+	2.51928i	0.260862	+	0.0864107i
$851$	4.06078	−	7.03347i	0.139202	−	0.241104i
$852$	3.83833	+	14.3248i	0.131499	+	0.490761i
$853$	35.4768	+	14.6950i	1.21470	+	0.503146i	0.895721	−	0.444616i	$-0.146660\pi$
$853$	35.4768	+	14.6950i	1.21470	+	0.503146i	0.318980	+	0.947762i	$0.396660\pi$
$854$	−3.42872	−	1.97957i	−0.117328	−	0.0677396i
$855$	−29.0580	+	3.82556i	−0.993764	+	0.130831i
$856$	1.33435	+	1.02388i	0.0456071	+	0.0349956i
$857$	−12.5774	−	30.3645i	−0.429636	−	1.03723i	−0.979403	−	0.201915i	$-0.935284\pi$
$857$	−12.5774	−	30.3645i	−0.429636	−	1.03723i	0.549767	−	0.835318i	$-0.314716\pi$
$858$	−2.60571	−	0.458984i	−0.0889574	−	0.0156695i
$859$	−9.49306	−	9.49306i	−0.323899	−	0.323899i	0.526362	−	0.850261i	$-0.323556\pi$
$859$	−9.49306	−	9.49306i	−0.323899	−	0.323899i	−0.850261	+	0.526362i	$0.823556\pi$
$860$	7.04753	−	9.18452i	0.240319	−	0.313190i
$861$	−8.73166	−	6.70004i	−0.297574	−	0.228337i
$862$	−2.29380	−	2.98934i	−0.0781271	−	0.101817i
$863$			22.9741i			0.782049i	0.920380	+	0.391024i	$0.127879\pi$
$863$			22.9741i			0.782049i	−0.920380	+	0.391024i	$0.872121\pi$
$864$	1.96068	−	1.50448i	0.0667037	−	0.0511835i
$865$	−16.3502	−	61.0198i	−0.555923	−	2.07473i
$866$	−0.514926			−0.0174979
$867$	−16.9982	+	0.250713i	−0.577287	+	0.00851464i
$868$	2.27278	+	3.93657i	0.0771432	+	0.133616i
$869$	−29.2838	−	7.84656i	−0.993384	−	0.266176i
$870$	0.752859	+	0.311845i	0.0255243	+	0.0105725i
$871$	−16.6269	+	35.6728i	−0.563381	+	1.20873i
$872$	−2.14800	+	5.18573i	−0.0727404	+	0.175611i
$873$	−1.03511	−	0.794265i	−0.0350330	−	0.0268818i
$874$	2.07050	−	2.69833i	0.0700357	−	0.0912723i
$875$	21.2543	−	5.69506i	0.718525	−	0.192528i
$876$	23.4824	+	23.4824i	0.793397	+	0.793397i
$877$	−48.2357	−	6.35035i	−1.62880	−	0.214436i	−0.739961	−	0.672649i	$-0.765156\pi$
$877$	−48.2357	−	6.35035i	−1.62880	−	0.214436i	−0.888842	+	0.458213i	$0.848490\pi$
$878$	−0.604510	+	4.59171i	−0.0204012	+	0.154963i
$879$	4.23659	−	10.2280i	0.142897	−	0.344983i
$880$	−42.0256	−	24.2635i	−1.41668	−	0.817921i
$881$	−2.51284	−	19.0869i	−0.0846596	−	0.643054i	−0.980191	−	0.198055i	$-0.936538\pi$
$881$	−2.51284	−	19.0869i	−0.0846596	−	0.643054i	0.895531	−	0.444999i	$-0.146796\pi$
$882$	−1.02871	−	0.275643i	−0.0346385	−	0.00928137i
$883$	1.69266			0.0569626			0.0284813	−	0.999594i	$-0.490933\pi$
$883$	1.69266			0.0569626			0.0284813	+	0.999594i	$0.490933\pi$
$884$	21.1446	+	19.9378i	0.711169	+	0.670581i
$885$	−22.6751			−0.762214
$886$	−5.30226	−	1.42074i	−0.178133	−	0.0477306i
$887$	2.50767	+	19.0477i	0.0841994	+	0.639558i	0.980558	+	0.196228i	$0.0628694\pi$
$887$	2.50767	+	19.0477i	0.0841994	+	0.639558i	−0.896359	+	0.443329i	$0.853797\pi$
$888$	−2.87153	−	1.65788i	−0.0963624	−	0.0556349i
$889$	−4.14921	+	10.0171i	−0.139160	+	0.335962i
$890$	1.03472	−	7.85946i	0.0346838	−	0.263450i
$891$	−3.42710	−	0.451186i	−0.114812	−	0.0151153i
$892$	−8.41659	−	8.41659i	−0.281808	−	0.281808i
$893$	−18.5887	+	4.98084i	−0.622048	+	0.166677i
$894$	−1.85958	+	2.42346i	−0.0621938	+	0.0810525i
$895$	−5.99516	−	4.60025i	−0.200396	−	0.153769i
$896$	3.45766	−	8.34752i	0.115512	−	0.278871i
$897$	−7.38644	+	0.647538i	−0.246626	+	0.0216207i
$898$	−1.92846	−	0.798794i	−0.0643535	−	0.0266561i
$899$	1.62722	+	0.436012i	0.0542708	+	0.0145418i
$900$	−8.94693	−	15.4965i	−0.298231	−	0.516551i
$901$	0.193252	−	3.32385i	0.00643817	−	0.110734i
$902$	−5.73490			−0.190951
$903$	−0.573748	−	2.14126i	−0.0190931	−	0.0712565i
$904$	−11.5744	+	8.88131i	−0.384957	+	0.295388i
$905$		−	12.5813i		−	0.418215i
$906$	−2.30384	−	3.00243i	−0.0765400	−	0.0997489i
$907$	35.8497	+	27.5084i	1.19037	+	0.913403i	0.997695	−	0.0678601i	$-0.0216171\pi$
$907$	35.8497	+	27.5084i	1.19037	+	0.913403i	0.192675	+	0.981263i	$0.438284\pi$
$908$	16.8226	−	21.9236i	0.558276	−	0.727560i
$909$	6.58056	+	6.58056i	0.218263	+	0.218263i
$910$	−3.99382	−	0.703495i	−0.132394	−	0.0233206i
$911$	13.9028	+	33.5642i	0.460619	+	1.11203i	0.968144	+	0.250395i	$0.0805606\pi$
$911$	13.9028	+	33.5642i	0.460619	+	1.11203i	−0.507525	+	0.861637i	$0.669439\pi$
$912$	23.0640	+	17.6977i	0.763727	+	0.586028i
$913$	34.9570	−	4.60217i	1.15691	−	0.152310i
$914$	−7.21416	−	4.16510i	−0.238623	−	0.137769i
$915$	46.0277	+	19.0653i	1.52163	+	0.630279i
$916$	−8.85435	−	33.0449i	−0.292556	−	1.09183i
$917$	−12.1111	+	20.9770i	−0.399944	+	0.692723i
$918$	−0.662322	−	0.572256i	−0.0218599	−	0.0188872i
$919$	−1.21451	+	2.10358i	−0.0400628	+	0.0693908i	−0.885362	−	0.464903i	$-0.846089\pi$
$919$	−1.21451	+	2.10358i	−0.0400628	+	0.0693908i	0.845299	+	0.534294i	$0.179422\pi$
$920$	6.27433	+	1.68120i	0.206859	+	0.0554276i
$921$	0.280909	+	2.13371i	0.00925625	+	0.0703082i
$922$			3.41340i			0.112414i
$923$	−26.0873	−	8.22026i	−0.858675	−	0.270573i
$924$	−8.79222	+	3.64186i	−0.289243	+	0.119808i
$925$	−22.0056	+	28.6782i	−0.723538	+	0.942933i
$926$	−0.601117	+	2.24340i	−0.0197539	+	0.0737227i
$927$	0.872564	−	0.233803i	0.0286588	−	0.00767909i
$928$	−0.964983	−	2.32968i	−0.0316771	−	0.0764753i
$929$	0.904291	−	6.86878i	0.0296688	−	0.225357i	−0.970187	−	0.242359i	$-0.922079\pi$
$929$	0.904291	−	6.86878i	0.0296688	−	0.225357i	0.999855	+	0.0170019i	$0.00541213\pi$
$930$	0.802727	+	1.04613i	0.0263224	+	0.0343041i
$931$		−	39.0831i		−	1.28090i
$932$	8.93356	−	6.85496i	0.292629	−	0.224542i
$933$	15.9843	+	4.28299i	0.523304	+	0.140219i
$934$	0.881048	+	1.52602i	0.0288288	+	0.0499329i
$935$	−16.8600	+	50.8980i	−0.551381	+	1.66454i
$936$	0.264369	+	3.01564i	0.00864116	+	0.0985693i
$937$	8.00903	−	8.00903i	0.261644	−	0.261644i	−0.564078	−	0.825722i	$-0.690768\pi$
$937$	8.00903	−	8.00903i	0.261644	−	0.261644i	0.825722	+	0.564078i	$0.190768\pi$
$938$	−0.425969	−	3.23555i	−0.0139084	−	0.105645i
$939$	−23.5274	+	13.5835i	−0.767787	+	0.443282i
$940$	−11.0597	−	14.4132i	−0.360726	−	0.470107i
$941$	6.26719	−	2.59596i	0.204305	−	0.0846257i	−0.278185	−	0.960528i	$-0.589733\pi$
$941$	6.26719	−	2.59596i	0.204305	−	0.0846257i	0.482489	+	0.875902i	$0.339733\pi$
$942$	−0.146652	−	0.0193070i	−0.00477817	−	0.000629058i
$943$	−15.5241	+	4.15967i	−0.505534	+	0.135458i
$944$	15.9039	+	15.9039i	0.517629	+	0.517629i
$945$	−5.25278	−	0.691542i	−0.170873	−	0.0224959i
$946$	−0.916403	−	0.703181i	−0.0297948	−	0.0228624i
$947$	−7.42626	+	0.977685i	−0.241321	+	0.0317705i	−0.250216	−	0.968190i	$-0.580502\pi$
$947$	−7.42626	+	0.977685i	−0.241321	+	0.0317705i	0.00889548	+	0.999960i	$0.497168\pi$
$948$			17.1458i			0.556869i
$949$	−59.7946	+	13.2672i	−1.94101	+	0.430671i
$950$	−10.7043	+	10.7043i	−0.347294	+	0.347294i
$951$	2.69153	+	4.66187i	0.0872789	+	0.151172i
$952$	−4.78837	−	0.915811i	−0.155192	−	0.0296816i
$953$	22.6950	−	39.3089i	0.735163	−	1.27334i	−0.219489	−	0.975615i	$-0.570439\pi$
$953$	22.6950	−	39.3089i	0.735163	−	1.27334i	0.954652	−	0.297725i	$-0.0962278\pi$
$954$	0.121218	−	0.121218i	0.00392457	−	0.00392457i
$955$	−32.8978	+	25.2434i	−1.06455	+	0.816856i
$956$	−29.6149	−	17.0982i	−0.957815	−	0.552995i
$957$	−1.34970	+	3.25846i	−0.0436296	+	0.105331i
$958$	0.748880	−	5.68831i	0.0241952	−	0.183781i
$959$	−9.67642	+	12.6106i	−0.312468	+	0.407216i
$960$	−6.75609	+	25.2141i	−0.218052	+	0.813780i
$961$	−19.9927	−	19.9927i	−0.644927	−	0.644927i
$962$	2.68105	−	1.39627i	0.0864406	−	0.0450174i
$963$	−1.85075	+	0.766605i	−0.0596395	+	0.0247035i
$964$	22.0836	−	2.90737i	0.711266	−	0.0936400i
$965$	−70.6608	+	40.7960i	−2.27465	+	1.31327i
$966$	0.487773	−	0.374281i	0.0156938	−	0.0120423i
$967$	−39.0113	+	39.0113i	−1.25452	+	1.25452i	−0.300846	+	0.953673i	$0.597269\pi$
$967$	−39.0113	+	39.0113i	−1.25452	+	1.25452i	−0.953673	+	0.300846i	$0.902731\pi$
$968$	−0.398199	+	0.689701i	−0.0127986	+	0.0221678i
$969$	13.9941	−	28.9128i	0.449556	−	0.928814i
$970$	−1.04202			−0.0334573
$971$	11.4279	+	42.6495i	0.366739	+	1.36869i	0.865048	+	0.501689i	$0.167288\pi$
$971$	11.4279	+	42.6495i	0.366739	+	1.36869i	−0.498309	+	0.867000i	$0.666045\pi$
$972$	0.255170	+	1.93821i	0.00818458	+	0.0621680i
$973$	−27.0287	+	15.6051i	−0.866502	+	0.500275i
$974$	0.787252	−	1.90059i	0.0252252	−	0.0608990i
$975$	32.9711	+	1.43374i	1.05592	+	0.0459165i
$976$	−18.9110	−	45.6552i	−0.605326	−	1.46139i
$977$	4.58597	−	17.1151i	0.146718	−	0.547560i	−0.852955	−	0.521985i	$-0.825192\pi$
$977$	4.58597	−	17.1151i	0.146718	−	0.547560i	0.999673	−	0.0255748i	$-0.00814161\pi$
$978$	0.366671	−	1.36843i	0.0117248	−	0.0437577i
$979$	34.0167	+	4.47838i	1.08718	+	0.143130i
$980$	34.0873	−	14.1194i	1.08888	−	0.451029i
$981$	−4.06978	−	5.30384i	−0.129938	−	0.169339i
$982$	−7.16594	−	4.13726i	−0.228674	−	0.132025i
$983$	42.3375	+	17.5368i	1.35036	+	0.559336i	0.936391	−	0.350957i	$-0.114144\pi$
$983$	42.3375	+	17.5368i	1.35036	+	0.559336i	0.413964	+	0.910293i	$0.364144\pi$
$984$	1.69826	+	6.33798i	0.0541385	+	0.202047i
$985$	−33.1856	−	57.4791i	−1.05738	−	1.83144i
$986$	−0.738899	+	0.501637i	−0.0235313	+	0.0159754i
$987$	−3.47880			−0.110731
$988$	−51.5979	+	18.7904i	−1.64155	+	0.597801i
$989$	−2.99070	−	1.23879i	−0.0950986	−	0.0393911i
$990$	−2.39082	+	1.38034i	−0.0759852	+	0.0438701i
$991$	25.3453	−	3.33677i	0.805119	−	0.105996i	0.283277	−	0.959038i	$-0.408578\pi$
$991$	25.3453	−	3.33677i	0.805119	−	0.105996i	0.521842	+	0.853042i	$0.325245\pi$
$992$	0.532598	−	4.04549i	0.0169100	−	0.128444i
$993$	−5.21541	−	12.5911i	−0.165506	−	0.399567i
$994$	2.19070	−	0.586997i	0.0694848	−	0.0186184i
$995$	−85.5755	+	22.9299i	−2.71293	+	0.726926i
$996$	−7.63096	−	18.4228i	−0.241796	−	0.583748i
$997$	1.26287	−	9.59245i	0.0399955	−	0.303796i	−0.959742	−	0.280883i	$-0.909373\pi$
$997$	1.26287	−	9.59245i	0.0399955	−	0.303796i	0.999737	−	0.0229128i	$-0.00729402\pi$
$998$	8.33420	−	1.09722i	0.263814	−	0.0347318i
$999$	3.42014	−	1.97462i	0.108208	−	0.0624741i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	663.2.cg.a.94.20	✓	320
13.9	even	3	inner	663.2.cg.a.451.21	yes	320
17.2	even	8	inner	663.2.cg.a.172.21	yes	320
221.87	even	24	inner	663.2.cg.a.529.20	yes	320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
663.2.cg.a.94.20	✓	320	1.1	even	1	trivial
663.2.cg.a.172.21	yes	320	17.2	even	8	inner
663.2.cg.a.451.21	yes	320	13.9	even	3	inner
663.2.cg.a.529.20	yes	320	221.87	even	24	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:	\( N \)	\(=\)	\( 663 = 3 \cdot 13 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	663.cg (of order \(24\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.205057 - 0.0549449i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(-1.69302 - 0.977466i) q^{4} +(1.43968 - 3.47570i) q^{5} +(-0.0277095 + 0.210475i) q^{6} +(-1.39625 - 0.183819i) q^{7} +(0.593684 + 0.593684i) q^{8} +(-0.965926 + 0.258819i) q^{9} +O(q^{10})\)	\(q+(-0.205057 - 0.0549449i) q^{2} +(-0.130526 - 0.991445i) q^{3} +(-1.69302 - 0.977466i) q^{4} +(1.43968 - 3.47570i) q^{5} +(-0.0277095 + 0.210475i) q^{6} +(-1.39625 - 0.183819i) q^{7} +(0.593684 + 0.593684i) q^{8} +(-0.965926 + 0.258819i) q^{9} +(-0.486190 + 0.633615i) q^{10} +(-2.74236 - 2.10429i) q^{11} +(-0.748120 + 1.80612i) q^{12} +(-2.06858 - 2.95313i) q^{13} +(0.276211 + 0.114410i) q^{14} +(-3.63388 - 0.973696i) q^{15} +(1.86581 + 3.23168i) q^{16} +(3.07978 - 2.74134i) q^{17} +0.212291 q^{18} +(2.01635 + 7.52514i) q^{19} +(-5.83479 + 4.47719i) q^{20} +1.40830i q^{21} +(0.446721 + 0.582178i) q^{22} +(1.63152 + 1.25191i) q^{23} +(0.511114 - 0.666097i) q^{24} +(-6.47228 - 6.47228i) q^{25} +(0.261917 + 0.719219i) q^{26} +(0.382683 + 0.923880i) q^{27} +(2.18420 + 1.67599i) q^{28} +(1.01160 - 0.133180i) q^{29} +(0.691654 + 0.399327i) q^{30} +(1.52538 + 0.631832i) q^{31} +(-0.639641 - 2.38717i) q^{32} +(-1.72833 + 2.99356i) q^{33} +(-0.782155 + 0.392913i) q^{34} +(-2.64905 + 4.58830i) q^{35} +(1.88832 + 0.505974i) q^{36} +(-0.515479 - 3.91545i) q^{37} -1.65387i q^{38} +(-2.65786 + 2.43634i) q^{39} +(2.91819 - 1.20875i) q^{40} +(-4.75756 + 6.20017i) q^{41} +(0.0773787 - 0.288781i) q^{42} +(-1.52046 + 0.407406i) q^{43} +(2.58600 + 6.24316i) q^{44} +(-0.491049 + 3.72989i) q^{45} +(-0.265769 - 0.346357i) q^{46} +2.47022i q^{47} +(2.96050 - 2.27167i) q^{48} +(-4.84576 - 1.29842i) q^{49} +(0.971569 + 1.68281i) q^{50} +(-3.11988 - 2.69562i) q^{51} +(0.615561 + 7.02168i) q^{52} +(0.570999 - 0.570999i) q^{53} +(-0.0277095 - 0.210475i) q^{54} +(-11.2620 + 6.50212i) q^{55} +(-0.719799 - 0.938061i) q^{56} +(7.19757 - 2.98133i) q^{57} +(-0.214753 - 0.0282728i) q^{58} +(5.82190 - 1.55997i) q^{59} +(5.20049 + 5.20049i) q^{60} +(-13.1294 - 1.72852i) q^{61} +(-0.278074 - 0.213374i) q^{62} +(1.39625 - 0.183819i) q^{63} -6.93860i q^{64} +(-13.2423 + 2.93819i) q^{65} +(0.518888 - 0.518888i) q^{66} +(-5.45789 - 9.45334i) q^{67} +(-7.89370 + 1.63076i) q^{68} +(1.02824 - 1.78097i) q^{69} +(0.795311 - 0.795311i) q^{70} +(6.01840 - 4.61808i) q^{71} +(-0.727112 - 0.419798i) q^{72} +(6.50078 - 15.6943i) q^{73} +(-0.109431 + 0.831214i) q^{74} +(-5.57211 + 7.26171i) q^{75} +(3.94184 - 14.7111i) q^{76} +(3.44220 + 3.44220i) q^{77} +(0.678879 - 0.353554i) q^{78} +(8.10291 - 3.35633i) q^{79} +(13.9185 - 1.83241i) q^{80} +(0.866025 - 0.500000i) q^{81} +(1.31624 - 1.00999i) q^{82} +(-7.21261 + 7.21261i) q^{83} +(1.37656 - 2.38427i) q^{84} +(-5.09416 - 14.6511i) q^{85} +0.334166 q^{86} +(-0.264080 - 0.985562i) q^{87} +(-0.378814 - 2.87738i) q^{88} +(-8.59599 + 4.96290i) q^{89} +(0.305632 - 0.737860i) q^{90} +(2.34540 + 4.50355i) q^{91} +(-1.53850 - 3.71427i) q^{92} +(0.427325 - 1.59480i) q^{93} +(0.135726 - 0.506536i) q^{94} +(29.0580 + 3.82556i) q^{95} +(-2.28326 + 0.945757i) q^{96} +(0.794265 + 1.03511i) q^{97} +(0.922318 + 0.532500i) q^{98} +(3.19354 + 1.32281i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 320 q+O(q^{10}) \) 320 * q	\( 320 q + 96 q^{14} + 112 q^{16} + 16 q^{17} + 16 q^{20} - 40 q^{22} + 8 q^{23} + 48 q^{25} - 16 q^{26} + 24 q^{28} + 8 q^{29} - 32 q^{31} + 120 q^{32} - 8 q^{33} - 64 q^{34} - 16 q^{39} - 8 q^{41} + 24 q^{42} - 16 q^{43} - 8 q^{45} + 16 q^{46} - 32 q^{52} + 16 q^{53} + 40 q^{56} - 64 q^{58} + 32 q^{59} - 48 q^{61} - 40 q^{62} - 120 q^{65} + 32 q^{66} - 32 q^{67} + 32 q^{68} + 72 q^{69} + 64 q^{70} + 128 q^{71} - 112 q^{73} - 32 q^{74} - 32 q^{76} + 32 q^{77} - 8 q^{78} - 96 q^{79} - 64 q^{80} + 40 q^{82} - 40 q^{85} - 256 q^{86} + 24 q^{87} - 64 q^{88} - 32 q^{91} + 32 q^{94} - 32 q^{95} - 192 q^{96} - 24 q^{97}+O(q^{100}) \) 320 * q + 96 * q^14 + 112 * q^16 + 16 * q^17 + 16 * q^20 - 40 * q^22 + 8 * q^23 + 48 * q^25 - 16 * q^26 + 24 * q^28 + 8 * q^29 - 32 * q^31 + 120 * q^32 - 8 * q^33 - 64 * q^34 - 16 * q^39 - 8 * q^41 + 24 * q^42 - 16 * q^43 - 8 * q^45 + 16 * q^46 - 32 * q^52 + 16 * q^53 + 40 * q^56 - 64 * q^58 + 32 * q^59 - 48 * q^61 - 40 * q^62 - 120 * q^65 + 32 * q^66 - 32 * q^67 + 32 * q^68 + 72 * q^69 + 64 * q^70 + 128 * q^71 - 112 * q^73 - 32 * q^74 - 32 * q^76 + 32 * q^77 - 8 * q^78 - 96 * q^79 - 64 * q^80 + 40 * q^82 - 40 * q^85 - 256 * q^86 + 24 * q^87 - 64 * q^88 - 32 * q^91 + 32 * q^94 - 32 * q^95 - 192 * q^96 - 24 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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