LMFDB - Embedded newform 804.2.w.a.59.16

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [804,2,Mod(59,804)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(804, 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("804.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 804 = 2^{2} \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	804.w (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:	$6.41997232251$
Analytic rank:	$0$
Dimension:	$1320$
Relative dimension:	$132$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			59.16
Character	$\chi$	$=$	804.59
Dual form			804.2.w.a.695.16

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32091 - 0.505179i) q^{2} +(1.72195 + 0.186745i) q^{3} +(1.48959 + 1.33459i) q^{4} +(1.50339 - 2.33932i) q^{5} +(-2.18020 - 1.11657i) q^{6} +(-0.181474 - 0.0260921i) q^{7} +(-1.29340 - 2.51537i) q^{8} +(2.93025 + 0.643134i) q^{9} +O(q^{10})$	\(q+(-1.32091 - 0.505179i) q^{2} +(1.72195 + 0.186745i) q^{3} +(1.48959 + 1.33459i) q^{4} +(1.50339 - 2.33932i) q^{5} +(-2.18020 - 1.11657i) q^{6} +(-0.181474 - 0.0260921i) q^{7} +(-1.29340 - 2.51537i) q^{8} +(2.93025 + 0.643134i) q^{9} +(-3.16762 + 2.33055i) q^{10} +(-0.488364 - 0.313852i) q^{11} +(2.31578 + 2.57627i) q^{12} +(2.75532 + 6.03330i) q^{13} +(0.226530 + 0.126142i) q^{14} +(3.02563 - 3.74746i) q^{15} +(0.437749 + 3.97597i) q^{16} +(0.578765 + 1.97109i) q^{17} +(-3.54569 - 2.32982i) q^{18} +(5.26186 - 0.756541i) q^{19} +(5.36147 - 1.47822i) q^{20} +(-0.307618 - 0.0788189i) q^{21} +(0.486532 + 0.661281i) q^{22} +(-2.34570 - 2.70708i) q^{23} +(-1.75744 - 4.57290i) q^{24} +(-1.13518 - 2.48569i) q^{25} +(-0.591620 - 9.36136i) q^{26} +(4.92566 + 1.65466i) q^{27} +(-0.235500 - 0.281060i) q^{28} -2.42852i q^{29} +(-5.88971 + 3.42156i) q^{30} +(-4.84503 - 2.21265i) q^{31} +(1.43035 - 5.47303i) q^{32} +(-0.782330 - 0.631639i) q^{33} +(0.231260 - 2.89601i) q^{34} +(-0.333865 + 0.385301i) q^{35} +(3.50655 + 4.86868i) q^{36} +4.04414 q^{37} +(-7.33261 - 1.65886i) q^{38} +(3.61784 + 10.9036i) q^{39} +(-7.82877 - 0.755909i) q^{40} +(-0.226050 - 0.769854i) q^{41} +(0.366517 + 0.259515i) q^{42} +(-1.82019 - 6.19899i) q^{43} +(-0.308598 - 1.11928i) q^{44} +(5.90982 - 5.88793i) q^{45} +(1.73089 + 4.76080i) q^{46} +(2.11242 + 2.43786i) q^{47} +(0.0112892 + 6.92819i) q^{48} +(-6.68420 - 1.96266i) q^{49} +(0.243744 + 3.85683i) q^{50} +(0.628514 + 3.50221i) q^{51} +(-3.94769 + 12.6644i) q^{52} +(-2.11040 + 7.18736i) q^{53} +(-5.67044 - 4.67399i) q^{54} +(-1.46841 + 0.670598i) q^{55} +(0.169088 + 0.490224i) q^{56} +(9.20196 - 0.320101i) q^{57} +(-1.22684 + 3.20785i) q^{58} +(1.77460 - 3.88583i) q^{59} +(9.50826 - 1.54420i) q^{60} +(5.73180 - 3.68361i) q^{61} +(5.28204 + 5.37031i) q^{62} +(-0.514985 - 0.193169i) q^{63} +(-4.65422 + 6.50678i) q^{64} +(18.2562 + 2.62484i) q^{65} +(0.714294 + 1.22955i) q^{66} +(-6.06994 - 5.49143i) q^{67} +(-1.76847 + 3.70853i) q^{68} +(-3.53365 - 5.09952i) q^{69} +(0.635651 - 0.340285i) q^{70} +(-13.2123 - 3.87948i) q^{71} +(-2.17227 - 8.20251i) q^{72} +(2.62085 - 1.68432i) q^{73} +(-5.34193 - 2.04301i) q^{74} +(-1.49053 - 4.49223i) q^{75} +(8.84767 + 5.89548i) q^{76} +(0.0804365 + 0.0696986i) q^{77} +(0.729448 - 16.2303i) q^{78} +(-8.98129 + 4.10162i) q^{79} +(9.95921 + 4.95341i) q^{80} +(8.17276 + 3.76909i) q^{81} +(-0.0903236 + 1.13110i) q^{82} +(5.72412 + 3.67867i) q^{83} +(-0.353034 - 0.527951i) q^{84} +(5.48114 + 1.60941i) q^{85} +(-0.727300 + 9.10780i) q^{86} +(0.453516 - 4.18181i) q^{87} +(-0.157806 + 1.63436i) q^{88} +(2.15126 + 1.86408i) q^{89} +(-10.7808 + 4.79189i) q^{90} +(-0.342598 - 1.16678i) q^{91} +(0.118711 - 7.16298i) q^{92} +(-7.92971 - 4.71487i) q^{93} +(-1.55875 - 4.28734i) q^{94} +(6.14084 - 13.4466i) q^{95} +(3.48506 - 9.15720i) q^{96} +17.4912 q^{97} +(7.83771 + 5.96920i) q^{98} +(-1.22918 - 1.23375i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	$ 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) $ 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/804\mathbb{Z}\right)^\times$.

$n$	$269$	$337$	$403$
$\chi(n)$	$-1$	$e\left(\frac{6}{11}\right)$	$-1$

Coefficient data

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

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

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

$2$	−1.32091	−	0.505179i	−0.934022	−	0.357215i
$2$	−1.32091	−	0.505179i	−0.934022	−	0.357215i
$3$	1.72195	+	0.186745i	0.994171	+	0.107817i
$3$	1.72195	+	0.186745i	0.994171	+	0.107817i
$4$	1.48959	+	1.33459i	0.744794	+	0.667294i
$5$	1.50339	−	2.33932i	0.672338	−	1.04618i	−0.322683	−	0.946507i	$-0.604585\pi$
$5$	1.50339	−	2.33932i	0.672338	−	1.04618i	0.995020	−	0.0996708i	$-0.0317790\pi$
$6$	−2.18020	−	1.11657i	−0.890063	−	0.455837i
$7$	−0.181474	−	0.0260921i	−0.0685909	−	0.00986188i	0.107934	−	0.994158i	$-0.465577\pi$
$7$	−0.181474	−	0.0260921i	−0.0685909	−	0.00986188i	−0.176525	+	0.984296i	$0.556486\pi$
$8$	−1.29340	−	2.51537i	−0.457287	−	0.889319i
$9$	2.93025	+	0.643134i	0.976751	+	0.214378i
$10$	−3.16762	+	2.33055i	−1.00169	+	0.736984i
$11$	−0.488364	−	0.313852i	−0.147247	−	0.0946301i	0.464943	−	0.885341i	$-0.346075\pi$
$11$	−0.488364	−	0.313852i	−0.147247	−	0.0946301i	−0.612190	+	0.790711i	$0.709711\pi$
$12$	2.31578	+	2.57627i	0.668507	+	0.743706i
$13$	2.75532	+	6.03330i	0.764188	+	1.67334i	0.739047	+	0.673654i	$0.235276\pi$
$13$	2.75532	+	6.03330i	0.764188	+	1.67334i	0.0251406	+	0.999684i	$0.491997\pi$
$14$	0.226530	+	0.126142i	0.0605426	+	0.0337129i
$15$	3.02563	−	3.74746i	0.781215	−	0.967590i
$16$	0.437749	+	3.97597i	0.109437	+	0.993994i
$17$	0.578765	+	1.97109i	0.140371	+	0.478060i	0.999428	−	0.0338201i	$-0.0107673\pi$
$17$	0.578765	+	1.97109i	0.140371	+	0.478060i	−0.859057	+	0.511880i	$0.828949\pi$
$18$	−3.54569	−	2.32982i	−0.835728	−	0.549144i
$19$	5.26186	−	0.756541i	1.20715	−	0.173562i	0.490782	−	0.871282i	$-0.336711\pi$
$19$	5.26186	−	0.756541i	1.20715	−	0.173562i	0.716371	+	0.697720i	$0.245802\pi$
$20$	5.36147	−	1.47822i	1.19886	−	0.330540i
$21$	−0.307618	−	0.0788189i	−0.0671278	−	0.0171997i
$22$	0.486532	+	0.661281i	0.103729	+	0.140986i
$23$	−2.34570	−	2.70708i	−0.489112	−	0.564465i	0.456516	−	0.889715i	$-0.349097\pi$
$23$	−2.34570	−	2.70708i	−0.489112	−	0.564465i	−0.945628	+	0.325250i	$0.894552\pi$
$24$	−1.75744	−	4.57290i	−0.358737	−	0.933439i
$25$	−1.13518	−	2.48569i	−0.227035	−	0.497138i
$26$	−0.591620	−	9.36136i	−0.116026	−	1.83591i
$27$	4.92566	+	1.65466i	0.947943	+	0.318439i
$28$	−0.235500	−	0.281060i	−0.0445053	−	0.0531154i
$29$		−	2.42852i		−	0.450966i	−0.974247	−	0.225483i	$-0.927604\pi$
$29$		−	2.42852i		−	0.450966i	0.974247	−	0.225483i	$-0.0723959\pi$
$30$	−5.88971	+	3.42156i	−1.07531	+	0.624688i
$31$	−4.84503	−	2.21265i	−0.870192	−	0.397404i	−0.0702849	−	0.997527i	$-0.522391\pi$
$31$	−4.84503	−	2.21265i	−0.870192	−	0.397404i	−0.799907	+	0.600123i	$0.795118\pi$
$32$	1.43035	−	5.47303i	0.252853	−	0.967505i
$33$	−0.782330	−	0.631639i	−0.136186	−	0.109954i
$34$	0.231260	−	2.89601i	0.0396607	−	0.496661i
$35$	−0.333865	+	0.385301i	−0.0564335	+	0.0651278i
$36$	3.50655	+	4.86868i	0.584425	+	0.811447i
$37$	4.04414			0.664853			0.332426	−	0.943129i	$-0.392133\pi$
$37$	4.04414			0.664853			0.332426	+	0.943129i	$0.392133\pi$
$38$	−7.33261	−	1.65886i	−1.18951	−	0.269102i
$39$	3.61784	+	10.9036i	0.579318	+	1.74598i
$40$	−7.82877	−	0.755909i	−1.23784	−	0.119520i
$41$	−0.226050	−	0.769854i	−0.0353030	−	0.120231i	0.939956	−	0.341295i	$-0.110865\pi$
$41$	−0.226050	−	0.769854i	−0.0353030	−	0.120231i	−0.975259	+	0.221064i	$0.929047\pi$
$42$	0.366517	+	0.259515i	0.0565548	+	0.0400440i
$43$	−1.82019	−	6.19899i	−0.277576	−	0.945336i	−0.973780	−	0.227492i	$-0.926947\pi$
$43$	−1.82019	−	6.19899i	−0.277576	−	0.945336i	0.696204	−	0.717844i	$-0.254871\pi$
$44$	−0.308598	−	1.11928i	−0.0465228	−	0.168737i
$45$	5.90982	−	5.88793i	0.880984	−	0.877721i
$46$	1.73089	+	4.76080i	0.255206	+	0.701941i
$47$	2.11242	+	2.43786i	0.308128	+	0.355599i	0.888601	−	0.458681i	$-0.151678\pi$
$47$	2.11242	+	2.43786i	0.308128	+	0.355599i	−0.580473	+	0.814279i	$0.697132\pi$
$48$	0.0112892	+	6.92819i	0.00162946	+	0.999999i
$49$	−6.68420	−	1.96266i	−0.954886	−	0.280380i
$50$	0.243744	+	3.85683i	0.0344706	+	0.545438i
$51$	0.628514	+	3.50221i	0.0880096	+	0.490408i
$52$	−3.94769	+	12.6644i	−0.547446	+	1.75623i
$53$	−2.11040	+	7.18736i	−0.289885	+	0.987259i	0.677831	+	0.735218i	$0.262920\pi$
$53$	−2.11040	+	7.18736i	−0.289885	+	0.987259i	−0.967716	+	0.252041i	$0.918898\pi$
$54$	−5.67044	−	4.67399i	−0.771649	−	0.636049i
$55$	−1.46841	+	0.670598i	−0.198000	+	0.0904235i
$56$	0.169088	+	0.490224i	0.0225953	+	0.0655089i
$57$	9.20196	−	0.320101i	1.21883	−	0.0423985i
$58$	−1.22684	+	3.20785i	−0.161092	+	0.421212i
$59$	1.77460	−	3.88583i	0.231033	−	0.505892i	−0.758239	−	0.651977i	$-0.773940\pi$
$59$	1.77460	−	3.88583i	0.231033	−	0.505892i	0.989272	+	0.146085i	$0.0466672\pi$
$60$	9.50826	−	1.54420i	1.22751	−	0.199355i
$61$	5.73180	−	3.68361i	0.733882	−	0.471637i	−0.119559	−	0.992827i	$-0.538148\pi$
$61$	5.73180	−	3.68361i	0.733882	−	0.471637i	0.853441	+	0.521190i	$0.174512\pi$
$62$	5.28204	+	5.37031i	0.670820	+	0.682030i
$63$	−0.514985	−	0.193169i	−0.0648821	−	0.0243370i
$64$	−4.65422	+	6.50678i	−0.581778	+	0.813348i
$65$	18.2562	+	2.62484i	2.26440	+	0.325572i
$66$	0.714294	+	1.22955i	0.0879235	+	0.151347i
$67$	−6.06994	−	5.49143i	−0.741561	−	0.670885i
$67$	−6.06994	−	5.49143i	−0.741561	−	0.670885i
$68$	−1.76847	+	3.70853i	−0.214459	+	0.449725i
$69$	−3.53365	−	5.09952i	−0.425402	−	0.613910i
$70$	0.635651	−	0.340285i	0.0759748	−	0.0406719i
$71$	−13.2123	−	3.87948i	−1.56801	−	0.460409i	−0.621588	−	0.783344i	$-0.713512\pi$
$71$	−13.2123	−	3.87948i	−1.56801	−	0.460409i	−0.946421	+	0.322935i	$0.895331\pi$
$72$	−2.17227	−	8.20251i	−0.256005	−	0.966676i
$73$	2.62085	−	1.68432i	0.306747	−	0.197134i	−0.378206	−	0.925721i	$-0.623459\pi$
$73$	2.62085	−	1.68432i	0.306747	−	0.197134i	0.684953	+	0.728587i	$0.259823\pi$
$74$	−5.34193	−	2.04301i	−0.620987	−	0.237496i
$75$	−1.49053	−	4.49223i	−0.172112	−	0.518718i
$76$	8.84767	+	5.89548i	1.01490	+	0.676258i
$77$	0.0804365	+	0.0696986i	0.00916659	+	0.00794290i
$78$	0.729448	−	16.2303i	0.0825937	−	1.83772i
$79$	−8.98129	+	4.10162i	−1.01047	+	0.461468i	−0.850681	−	0.525682i	$-0.823810\pi$
$79$	−8.98129	+	4.10162i	−1.01047	+	0.461468i	−0.159793	+	0.987150i	$0.551083\pi$
$80$	9.95921	+	4.95341i	1.11347	+	0.553809i
$81$	8.17276	+	3.76909i	0.908084	+	0.418788i
$82$	−0.0903236	+	1.13110i	−0.00997458	+	0.124909i
$83$	5.72412	+	3.67867i	0.628304	+	0.403786i	0.815681	−	0.578502i	$-0.196362\pi$
$83$	5.72412	+	3.67867i	0.628304	+	0.403786i	−0.187377	+	0.982288i	$0.559999\pi$
$84$	−0.353034	−	0.527951i	−0.0385191	−	0.0576042i
$85$	5.48114	+	1.60941i	0.594513	+	0.174565i
$86$	−0.727300	+	9.10780i	−0.0784268	+	0.982119i
$87$	0.453516	−	4.18181i	0.0486220	−	0.448337i
$88$	−0.157806	+	1.63436i	−0.0168221	+	0.174223i
$89$	2.15126	+	1.86408i	0.228033	+	0.197592i	0.761382	−	0.648303i	$-0.224521\pi$
$89$	2.15126	+	1.86408i	0.228033	+	0.197592i	−0.533349	+	0.845896i	$0.679067\pi$
$90$	−10.7808	+	4.79189i	−1.13639	+	0.505110i
$91$	−0.342598	−	1.16678i	−0.0359141	−	0.122312i
$92$	0.118711	−	7.16298i	0.0123765	−	0.746792i
$93$	−7.92971	−	4.71487i	−0.822273	−	0.488909i
$94$	−1.55875	−	4.28734i	−0.160773	−	0.442205i
$95$	6.14084	−	13.4466i	0.630037	−	1.37959i
$96$	3.48506	−	9.15720i	0.355693	−	0.934603i
$97$	17.4912			1.77596			0.887981	−	0.459881i	$-0.152108\pi$
$97$	17.4912			1.77596			0.887981	+	0.459881i	$0.152108\pi$
$98$	7.83771	+	5.96920i	0.791728	+	0.602981i
$99$	−1.22918	−	1.23375i	−0.123537	−	0.123997i
$100$	1.62643	−	5.21765i	0.162643	−	0.521765i
$101$	−8.62076	+	1.23948i	−0.857797	+	0.123333i	−0.557159	−	0.830406i	$-0.688109\pi$
$101$	−8.62076	+	1.23948i	−0.857797	+	0.123333i	−0.300638	+	0.953738i	$0.597200\pi$
$102$	0.939035	−	4.94361i	0.0929783	−	0.489490i
$103$	−14.6079	−	6.67120i	−1.43936	−	0.657333i	−0.465617	−	0.884986i	$-0.654168\pi$
$103$	−14.6079	−	6.67120i	−1.43936	−	0.657333i	−0.973742	+	0.227653i	$0.926895\pi$
$104$	11.6123	−	14.7341i	1.13868	−	1.44480i
$105$	−0.646854	+	0.601123i	−0.0631265	+	0.0586636i
$106$	6.41854	−	8.42770i	0.623424	−	0.818570i
$107$	−4.02652	+	2.58769i	−0.389258	+	0.250161i	−0.720602	−	0.693349i	$-0.756134\pi$
$107$	−4.02652	+	2.58769i	−0.389258	+	0.250161i	0.331344	+	0.943510i	$0.392498\pi$
$108$	5.12892	+	9.03848i	0.493530	+	0.869729i
$109$	0.551439	+	1.20748i	0.0528183	+	0.115656i	0.934201	−	0.356747i	$-0.116114\pi$
$109$	0.551439	+	1.20748i	0.0528183	+	0.115656i	−0.881383	+	0.472403i	$0.843387\pi$
$110$	2.27840	−	0.143990i	0.217237	−	0.0137290i
$111$	6.96383	+	0.755224i	0.660977	+	0.0716827i
$112$	0.0243012	−	0.732960i	0.00229625	−	0.0692582i
$113$	−2.75718	−	4.29025i	−0.259374	−	0.403593i	0.687005	−	0.726653i	$-0.258925\pi$
$113$	−2.75718	−	4.29025i	−0.259374	−	0.403593i	−0.946379	+	0.323059i	$0.895289\pi$
$114$	−12.3166	−	4.22581i	−1.15356	−	0.395783i
$115$	−9.85925	+	1.41755i	−0.919379	+	0.132187i
$116$	3.24108	−	3.61750i	0.300927	−	0.335877i
$117$	4.19355	+	19.4511i	0.387694	+	1.79826i
$118$	−4.30712	+	4.23633i	−0.396503	+	0.389986i
$119$	−0.0536011	−	0.372804i	−0.00491361	−	0.0341749i
$120$	−13.3396	−	2.76363i	−1.21774	−	0.252284i
$121$	−4.42957	−	9.69940i	−0.402688	−	0.881764i
$122$	−9.43206	+	1.97011i	−0.853938	+	0.178366i
$123$	−0.245480	−	1.36787i	−0.0221342	−	0.123336i
$124$	−4.26412	−	9.76205i	−0.382929	−	0.876658i
$125$	6.24083	+	0.897296i	0.558197	+	0.0802566i
$126$	0.582663	+	0.515318i	0.0519077	+	0.0459081i
$127$	14.2201	+	2.04453i	1.26183	+	0.181423i	0.740571	−	0.671978i	$-0.234555\pi$
$127$	14.2201	+	2.04453i	1.26183	+	0.181423i	0.521255	+	0.853401i	$0.325464\pi$
$128$	9.43488	−	6.24364i	0.833934	−	0.551865i
$129$	−1.97665	−	11.0143i	−0.174034	−	0.969753i
$130$	−22.7887	−	12.6898i	−1.99870	−	1.11297i
$131$	10.4732	+	12.0867i	0.915050	+	1.05602i	0.998229	+	0.0594895i	$0.0189473\pi$
$131$	10.4732	+	12.0867i	0.915050	+	1.05602i	−0.0831788	+	0.996535i	$0.526507\pi$
$132$	−0.322372	−	1.98497i	−0.0280588	−	0.172770i
$133$	−0.974632			−0.0845114
$134$	5.24367	+	10.3201i	0.452984	+	0.891519i
$135$	11.2760	−	9.03511i	0.970482	−	0.777619i
$136$	4.20946	−	4.00523i	0.360958	−	0.343445i
$137$	−6.13107	+	5.31261i	−0.523813	+	0.453886i	−0.876186	−	0.481973i	$-0.839920\pi$
$137$	−6.13107	+	5.31261i	−0.523813	+	0.453886i	0.352373	+	0.935860i	$0.385375\pi$
$138$	2.09145	+	8.52111i	0.178036	+	0.725365i
$139$	1.83374	−	2.85336i	0.155536	−	0.242019i	−0.754737	−	0.656028i	$-0.772235\pi$
$139$	1.83374	−	2.85336i	0.155536	−	0.242019i	0.910273	+	0.414009i	$0.135872\pi$
$140$	−1.01154	+	0.128368i	−0.0854908	+	0.0108490i
$141$	3.18223	+	4.59237i	0.267992	+	0.386748i
$142$	15.4924	+	11.7990i	1.30009	+	0.990149i
$143$	0.547970	−	3.81121i	0.0458235	−	0.318710i
$144$	−1.27437	+	11.9321i	−0.106197	+	0.994345i
$145$	−5.68111	−	3.65103i	−0.471790	−	0.303201i
$146$	−4.31278	+	0.900829i	−0.356928	+	0.0745531i
$147$	−11.1434	−	4.62785i	−0.919089	−	0.381699i
$148$	6.02411	+	5.39726i	0.495179	+	0.443652i
$149$	−9.75185	+	1.40210i	−0.798902	+	0.114865i	−0.529663	−	0.848208i	$-0.677681\pi$
$149$	−9.75185	+	1.40210i	−0.798902	+	0.114865i	−0.269240	+	0.963073i	$0.586772\pi$
$150$	−0.300529	+	6.68680i	−0.0245381	+	0.545975i
$151$	5.67995	+	19.3441i	0.462227	+	1.57420i	0.779838	+	0.625981i	$0.215301\pi$
$151$	5.67995	+	19.3441i	0.462227	+	1.57420i	−0.317611	+	0.948221i	$0.602881\pi$
$152$	−8.70868	−	12.2570i	−0.706367	−	0.994176i
$153$	0.428251	+	6.14802i	0.0346221	+	0.497038i
$154$	−0.0710389	−	0.132700i	−0.00572447	−	0.0106933i
$155$	−12.4601	+	8.00761i	−1.00082	+	0.643187i
$156$	−9.16274	+	21.0702i	−0.733607	+	1.68697i
$157$	−14.1496	−	16.3295i	−1.12926	−	1.30323i	−0.947451	−	0.319900i	$-0.896351\pi$
$157$	−14.1496	−	16.3295i	−1.12926	−	1.30323i	−0.181807	−	0.983334i	$-0.558195\pi$
$158$	13.9355	−	0.880697i	1.10865	−	0.0700645i
$159$	−4.97621	+	11.9822i	−0.394639	+	0.950250i
$160$	−10.6528	−	11.5742i	−0.842179	−	0.915019i
$161$	0.355051	+	0.552470i	0.0279819	+	0.0435407i
$162$	−8.89139	−	9.10732i	−0.698573	−	0.715539i
$163$			12.4423i			0.974555i	0.873247	+	0.487277i	$0.162010\pi$
$163$			12.4423i			0.974555i	−0.873247	+	0.487277i	$0.837990\pi$
$164$	0.690717	−	1.44845i	0.0539360	−	0.113105i
$165$	−2.65376	+	0.880522i	−0.206595	+	0.0685485i
$166$	−5.70264	−	7.75088i	−0.442611	−	0.601585i
$167$	−1.39778	−	9.72180i	−0.108164	−	0.752296i	−0.969647	−	0.244510i	$-0.921373\pi$
$167$	−1.39778	−	9.72180i	−0.108164	−	0.752296i	0.861483	−	0.507786i	$-0.169536\pi$
$168$	0.199615	+	0.875720i	0.0154006	+	0.0675632i
$169$	−20.2958	+	23.4226i	−1.56122	+	1.80174i
$170$	−6.42703	−	4.89483i	−0.492931	−	0.375416i
$171$	15.9051	+	1.16722i	1.21630	+	0.0892597i
$172$	5.56176	−	11.6631i	0.424080	−	0.889306i
$173$	8.05050	+	3.67654i	0.612068	+	0.279522i	0.697233	−	0.716845i	$-0.254414\pi$
$173$	8.05050	+	3.67654i	0.612068	+	0.279522i	−0.0851648	+	0.996367i	$0.527142\pi$
$174$	−2.71161	+	5.29467i	−0.205567	+	0.401388i
$175$	0.141149	+	0.480708i	0.0106698	+	0.0363381i
$176$	1.03409	−	2.07911i	0.0779474	−	0.156719i
$177$	3.78144	−	6.35982i	0.284230	−	0.478034i
$178$	−1.89992	−	3.54905i	−0.142405	−	0.266012i
$179$	−8.88152	+	10.2498i	−0.663836	+	0.766107i	−0.983399	−	0.181458i	$-0.941918\pi$
$179$	−8.88152	+	10.2498i	−0.663836	+	0.766107i	0.319563	+	0.947565i	$0.396464\pi$
$180$	16.6612	−	0.883419i	1.24185	−	0.0658462i
$181$	2.59397	+	2.99360i	0.192808	+	0.222513i	0.843920	−	0.536470i	$-0.180242\pi$
$181$	2.59397	+	2.99360i	0.192808	+	0.222513i	−0.651111	+	0.758982i	$0.725697\pi$
$182$	−0.136894	+	1.71428i	−0.0101472	+	0.127071i
$183$	10.5578	−	5.27261i	0.780455	−	0.389763i
$184$	−3.77539	+	9.40165i	−0.278326	+	0.693099i
$185$	6.07993	−	9.46056i	0.447006	−	0.695554i
$186$	8.09256	+	10.2338i	0.593375	+	0.750380i
$187$	0.335984	−	1.14426i	0.0245696	−	0.0836764i
$188$	−0.106905	+	6.45062i	−0.00779688	+	0.470460i
$189$	−0.850708	−	0.428799i	−0.0618799	−	0.0311905i
$190$	−14.9044	+	14.6594i	−1.08128	+	1.06351i
$191$	−11.4542	+	13.2189i	−0.828799	+	0.956485i	−0.999585	−	0.0288235i	$-0.990824\pi$
$191$	−11.4542	+	13.2189i	−0.828799	+	0.956485i	0.170786	+	0.985308i	$0.445369\pi$
$192$	−9.22947	+	10.3352i	−0.666080	+	0.745881i
$193$	−1.56558	+	3.42815i	−0.112693	+	0.246764i	−0.957572	−	0.288194i	$-0.906945\pi$
$193$	−1.56558	+	3.42815i	−0.112693	+	0.246764i	0.844879	+	0.534958i	$0.179672\pi$
$194$	−23.1042	−	8.83618i	−1.65879	−	0.634401i
$195$	30.9461	+	7.92912i	2.21610	+	0.567816i
$196$	−7.33737	−	11.8442i	−0.524098	−	0.846015i
$197$	−6.29384	+	21.4349i	−0.448418	+	1.52717i	0.356794	+	0.934183i	$0.383870\pi$
$197$	−6.29384	+	21.4349i	−0.448418	+	1.52717i	−0.805212	+	0.592987i	$0.797948\pi$
$198$	1.00037	+	2.25062i	0.0710931	+	0.159945i
$199$	−15.2481	−	2.19235i	−1.08091	−	0.155411i	−0.421227	−	0.906955i	$-0.638400\pi$
$199$	−15.2481	−	2.19235i	−1.08091	−	0.155411i	−0.659683	+	0.751544i	$0.729310\pi$
$200$	−4.78420	+	6.07039i	−0.338294	+	0.429241i
$201$	−9.42666	−	10.5895i	−0.664905	−	0.746928i
$202$	12.0134	+	2.71779i	0.845258	+	0.191223i
$203$	−0.0633653	+	0.440715i	−0.00444737	+	0.0309321i
$204$	−3.73778	+	6.05566i	−0.261697	+	0.423981i
$205$	−2.14078	−	0.628590i	−0.149519	−	0.0439026i
$206$	15.9255	+	16.1916i	1.10958	+	1.12813i
$207$	−5.13247	−	9.44103i	−0.356732	−	0.656197i
$208$	−22.7821	+	13.5961i	−1.57966	+	0.942723i
$209$	−2.80714	−	1.28198i	−0.194174	−	0.0886764i
$210$	1.15811	−	0.467251i	0.0799171	−	0.0322434i
$211$	−1.81560	−	1.57323i	−0.124991	−	0.108305i	0.590122	−	0.807314i	$-0.299080\pi$
$211$	−1.81560	−	1.57323i	−0.124991	−	0.108305i	−0.715113	+	0.699008i	$0.753625\pi$
$212$	−12.7358	+	7.88969i	−0.874697	+	0.541866i
$213$	−22.0265	−	9.14761i	−1.50923	−	0.626784i
$214$	6.62590	−	1.38398i	0.452937	−	0.0946069i
$215$	−17.2379	−	5.06150i	−1.17561	−	0.345192i
$216$	−2.20877	−	14.5300i	−0.150288	−	0.988642i
$217$	0.821516	+	0.527956i	0.0557681	+	0.0358400i
$218$	−0.118405	−	1.87355i	−0.00801937	−	0.126893i
$219$	4.82752	−	2.41089i	0.326214	−	0.162913i
$220$	−3.08229	−	0.960801i	−0.207808	−	0.0647772i
$221$	−10.2975	+	8.92285i	−0.692686	+	0.600216i
$222$	−8.81704	−	4.51556i	−0.591761	−	0.303064i
$223$	−3.97120	−	3.44107i	−0.265931	−	0.230431i	0.511680	−	0.859176i	$-0.329023\pi$
$223$	−3.97120	−	3.44107i	−0.265931	−	0.230431i	−0.777611	+	0.628745i	$0.783569\pi$
$224$	−0.402375	+	0.955895i	−0.0268848	+	0.0638684i
$225$	−1.72772	−	8.01377i	−0.115181	−	0.534251i
$226$	1.47463	+	7.05989i	0.0980909	+	0.469617i
$227$	13.2687	−	3.89606i	0.880678	−	0.258590i	0.190027	−	0.981779i	$-0.439142\pi$
$227$	13.2687	−	3.89606i	0.880678	−	0.258590i	0.690651	+	0.723188i	$0.257324\pi$
$228$	14.1343	+	11.8040i	0.936069	+	0.781739i
$229$	−4.03546	+	8.83642i	−0.266671	+	0.583927i	−0.994838	−	0.101472i	$-0.967645\pi$
$229$	−4.03546	+	8.83642i	−0.266671	+	0.583927i	0.728168	+	0.685399i	$0.240372\pi$
$230$	13.7393	+	3.10824i	0.905940	+	0.204951i
$231$	0.125492	+	0.135039i	0.00825678	+	0.00888492i
$232$	−6.10865	+	3.14106i	−0.401052	+	0.206221i
$233$	8.21932	+	7.12208i	0.538466	+	0.466583i	0.881130	−	0.472875i	$-0.156784\pi$
$233$	8.21932	+	7.12208i	0.538466	+	0.466583i	−0.342664	+	0.939458i	$0.611329\pi$
$234$	4.28701	−	27.8116i	0.280251	−	1.81810i
$235$	8.87875	−	1.27657i	0.579186	−	0.0832743i
$236$	7.82941	−	3.41993i	0.509651	−	0.222619i
$237$	−16.2313	+	5.38558i	−1.05434	+	0.349831i
$238$	−0.117531	+	0.519518i	−0.00761838	+	0.0336753i
$239$	−19.1409			−1.23812			−0.619062	−	0.785342i	$-0.712487\pi$
$239$	−19.1409			−1.23812			−0.619062	+	0.785342i	$0.712487\pi$
$240$	16.2243	+	10.3894i	1.04727	+	0.670632i
$241$	2.62188	−	1.68498i	0.168890	−	0.108539i	−0.453465	−	0.891274i	$-0.649812\pi$
$241$	2.62188	−	1.68498i	0.168890	−	0.108539i	0.622355	+	0.782735i	$0.286176\pi$
$242$	0.951114	+	15.0497i	0.0611399	+	0.967433i
$243$	13.3693	+	8.01642i	0.857638	+	0.514254i
$244$	13.4541	+	2.16254i	0.861312	+	0.138442i
$245$	−14.6403	+	12.6859i	−0.935333	+	0.810470i
$246$	−0.366761	+	1.93084i	−0.0233838	+	0.123106i
$247$	19.0625	+	29.6619i	1.21292	+	1.88734i
$248$	0.700924	+	15.0489i	0.0445087	+	0.955606i
$249$	9.16970	+	7.40345i	0.581106	+	0.469175i
$250$	−7.79026	−	4.33798i	−0.492700	−	0.274358i
$251$	−28.7297	+	8.43579i	−1.81340	+	0.532463i	−0.998864	−	0.0476492i	$-0.984827\pi$
$251$	−28.7297	+	8.43579i	−1.81340	+	0.532463i	−0.814537	+	0.580112i	$0.803009\pi$
$252$	−0.509316	−	0.975035i	−0.0320839	−	0.0614215i
$253$	0.295931	+	2.05824i	0.0186050	+	0.129401i
$254$	−17.7505	−	9.88431i	−1.11377	−	0.620197i
$255$	9.13772	+	3.79490i	0.572226	+	0.237646i
$256$	−15.6168	+	3.48096i	−0.976047	+	0.217560i
$257$	9.51974	−	14.8130i	0.593825	−	0.924010i	−0.406123	−	0.913818i	$-0.633120\pi$
$257$	9.51974	−	14.8130i	0.593825	−	0.924010i	0.999948	−	0.0101913i	$-0.00324404\pi$
$258$	−2.95322	+	15.5474i	−0.183859	+	0.967939i
$259$	−0.733908	−	0.105520i	−0.0456029	−	0.00655670i
$260$	23.6911	+	28.2744i	1.46926	+	1.75351i
$261$	1.56187	−	7.11619i	0.0966771	−	0.440481i
$262$	−7.72819	−	21.2563i	−0.477449	−	1.31322i
$263$	−15.9475	−	10.2488i	−0.983365	−	0.631970i	−0.0529961	−	0.998595i	$-0.516877\pi$
$263$	−15.9475	−	10.2488i	−0.983365	−	0.631970i	−0.930369	+	0.366624i	$0.880513\pi$
$264$	−0.576942	+	2.78482i	−0.0355084	+	0.171394i
$265$	13.6408	+	15.7423i	0.837948	+	0.967043i
$266$	1.28740	+	0.492364i	0.0789355	+	0.0301888i
$267$	3.35627	+	3.61160i	0.205400	+	0.221026i
$268$	−1.71291	−	16.2808i	−0.104633	−	0.994511i
$269$		−	3.50754i		−	0.213859i	−0.994267	−	0.106929i	$-0.965898\pi$
$269$		−	3.50754i		−	0.213859i	0.994267	−	0.106929i	$-0.0341019\pi$
$270$	−19.4589	+	6.23816i	−1.18423	+	0.379642i
$271$	15.1339	−	13.1136i	0.919321	−	0.796596i	−0.0601487	−	0.998189i	$-0.519157\pi$
$271$	15.1339	−	13.1136i	0.919321	−	0.796596i	0.979469	+	0.201594i	$0.0646120\pi$
$272$	−7.58366	+	3.16400i	−0.459827	+	0.191846i
$273$	−0.372047	−	2.07313i	−0.0225173	−	0.125471i
$274$	10.7824	−	3.92017i	0.651388	−	0.236826i
$275$	−0.225760	+	1.57020i	−0.0136139	+	0.0946865i
$276$	1.54207	−	12.3121i	0.0928216	−	0.741104i
$277$	1.57512	−	10.9552i	0.0946399	−	0.658235i	−0.886183	−	0.463335i	$-0.846653\pi$
$277$	1.57512	−	10.9552i	0.0946399	−	0.658235i	0.980823	−	0.194900i	$-0.0624382\pi$
$278$	−3.86366	+	2.84265i	−0.231727	+	0.170491i
$279$	−12.7741	−	9.59962i	−0.764766	−	0.574714i
$280$	1.40100	+	0.341447i	0.0837257	+	0.0204054i
$281$	−16.6436	+	7.60089i	−0.992876	+	0.453431i	−0.844532	−	0.535505i	$-0.820121\pi$
$281$	−16.6436	+	7.60089i	−0.992876	+	0.453431i	−0.148343	+	0.988936i	$0.547394\pi$
$282$	−1.88346	−	7.67369i	−0.112158	−	0.456962i
$283$	11.1297	−	1.60020i	0.661589	−	0.0951222i	0.196662	−	0.980471i	$-0.436990\pi$
$283$	11.1297	−	1.60020i	0.661589	−	0.0951222i	0.464927	+	0.885349i	$0.346081\pi$
$284$	−14.5034	−	23.4118i	−0.860616	−	1.38923i
$285$	13.0853	−	22.0076i	0.775108	−	1.30362i
$286$	−2.64916	+	4.75743i	−0.156648	+	0.281313i
$287$	0.0209351	+	0.145607i	0.00123576	+	0.00859491i
$288$	7.71119	−	15.1175i	0.454386	−	0.890805i
$289$	10.7511	−	6.90930i	0.632416	−	0.406429i
$290$	5.65979	+	7.69264i	0.332354	+	0.451727i
$291$	30.1190	+	3.26640i	1.76561	+	0.191480i
$292$	6.15186	+	0.988814i	0.360010	+	0.0578659i
$293$	−17.7891	+	8.12401i	−1.03925	+	0.474610i	−0.860589	−	0.509301i	$-0.829904\pi$
$293$	−17.7891	+	8.12401i	−1.03925	+	0.474610i	−0.178662	+	0.983911i	$0.557177\pi$
$294$	12.3815	+	11.7424i	0.722101	+	0.684828i
$295$	−6.42230	−	9.99330i	−0.373921	−	0.581832i
$296$	−5.23070	−	10.1725i	−0.304028	−	0.591266i
$297$	−1.88620	−	2.35401i	−0.109448	−	0.136593i
$298$	13.5896	+	3.07438i	0.787224	+	0.178094i
$299$	9.86949	−	21.6112i	0.570768	−	1.24981i
$300$	3.77500	−	8.68082i	0.217950	−	0.501187i
$301$	0.168573	+	1.17245i	0.00971638	+	0.0675789i
$302$	2.26956	−	28.4212i	0.130599	−	1.63545i
$303$	−15.0760	+	0.524438i	−0.866094	+	0.0301282i
$304$	5.31136	+	20.5898i	0.304627	+	1.18091i
$305$		−	18.9465i		−	1.08487i
$306$	2.54017	−	8.33730i	0.145212	−	0.476612i
$307$	23.2032	+	10.5965i	1.32428	+	0.604776i	0.946973	−	0.321314i	$-0.104124\pi$
$307$	23.2032	+	10.5965i	1.32428	+	0.604776i	0.377303	+	0.926090i	$0.376852\pi$
$308$	0.0267984	+	0.211172i	0.00152698	+	0.0120326i
$309$	−23.9083	−	14.2155i	−1.36010	−	0.808690i
$310$	20.5039	−	4.28273i	1.16454	−	0.243243i
$311$	20.3073	−	5.96277i	1.15152	−	0.338118i	0.350390	−	0.936604i	$-0.386049\pi$
$311$	20.3073	−	5.96277i	1.15152	−	0.338118i	0.801133	+	0.598486i	$0.204231\pi$
$312$	22.7474	−	23.2030i	1.28782	−	1.31361i
$313$	−10.9450	+	12.6312i	−0.618646	+	0.713956i	−0.975449	−	0.220224i	$-0.929321\pi$
$313$	−10.9450	+	12.6312i	−0.618646	+	0.713956i	0.356803	+	0.934180i	$0.383867\pi$
$314$	10.4410	+	28.7178i	0.589217	+	1.62064i
$315$	−1.22611	+	0.914310i	−0.0690835	+	0.0515155i
$316$	−18.8524	−	5.87660i	−1.06053	−	0.330585i
$317$	9.79622	−	33.3629i	0.550211	−	1.87385i	0.0682177	−	0.997670i	$-0.478269\pi$
$317$	9.79622	−	33.3629i	0.550211	−	1.87385i	0.481993	−	0.876175i	$-0.339913\pi$
$318$	12.6263	−	13.3135i	0.708046	−	0.746583i
$319$	−0.762198	+	1.18600i	−0.0426749	+	0.0664035i
$320$	8.22435	+	20.6700i	0.459755	+	1.15549i
$321$	−7.41672	+	3.70394i	−0.413961	+	0.206734i
$322$	−0.189893	−	0.909126i	−0.0105823	−	0.0506636i
$323$	4.53659	+	9.93375i	0.252423	+	0.552728i
$324$	7.14387	+	16.5217i	0.396882	+	0.917870i
$325$	11.8691	−	13.6977i	0.658382	−	0.759813i
$326$	6.28558	−	16.4351i	0.348126	−	0.910255i
$327$	0.724061	+	2.18221i	0.0400407	+	0.120676i
$328$	−1.64410	+	1.56433i	−0.0907802	+	0.0863757i
$329$	−0.319741	−	0.497527i	−0.0176279	−	0.0274296i
$330$	3.95019	+	0.177535i	0.217451	+	0.00977300i
$331$	6.62429	−	22.5603i	0.364104	−	1.24002i	−0.550213	−	0.835025i	$-0.685453\pi$
$331$	6.62429	−	22.5603i	0.364104	−	1.24002i	0.914317	−	0.405000i	$-0.132728\pi$
$332$	3.61708	+	13.1190i	0.198513	+	0.720001i
$333$	11.8504	+	2.60092i	0.649395	+	0.142530i
$334$	−3.06491	+	13.5477i	−0.167704	+	0.741299i
$335$	−21.9718	+	5.94378i	−1.20044	+	0.324743i
$336$	0.178722	−	1.25759i	0.00975010	−	0.0686069i
$337$	−2.11159	+	14.6864i	−0.115025	+	0.800019i	0.847882	+	0.530186i	$0.177878\pi$
$337$	−2.11159	+	14.6864i	−0.115025	+	0.800019i	−0.962907	+	0.269834i	$0.913031\pi$
$338$	38.6415	−	20.6861i	2.10182	−	1.12517i
$339$	−3.94655	−	7.90251i	−0.214347	−	0.429205i
$340$	6.01674	+	9.71241i	0.326304	+	0.526730i
$341$	1.67169	+	2.60120i	0.0905271	+	0.140863i
$342$	−20.4195	−	9.57672i	−1.10416	−	0.517850i
$343$	2.32921	+	1.06371i	0.125765	+	0.0574352i
$344$	−13.2385	+	12.5962i	−0.713774	+	0.679143i
$345$	−17.2419	+	0.599780i	−0.928272	+	0.0322911i
$346$	−8.77664	−	8.92330i	−0.471835	−	0.479720i
$347$	−8.53401	−	18.6869i	−0.458130	−	1.00316i	−0.987910	−	0.155029i	$-0.950453\pi$
$347$	−8.53401	−	18.6869i	−0.458130	−	1.00316i	0.529780	−	0.848135i	$-0.322274\pi$
$348$	6.25654	−	5.62392i	0.335386	−	0.301474i
$349$	−31.1055	−	9.13340i	−1.66504	−	0.488899i	−0.692457	−	0.721460i	$-0.743472\pi$
$349$	−31.1055	−	9.13340i	−1.66504	−	0.488899i	−0.972582	+	0.232560i	$0.925290\pi$
$350$	0.0563994	−	0.706276i	0.00301467	−	0.0377520i
$351$	3.58870	+	34.2771i	0.191551	+	1.82958i
$352$	−2.41626	+	2.22391i	−0.128787	+	0.118535i
$353$	3.21325	−	10.9433i	0.171024	−	0.582454i	−0.828716	−	0.559669i	$-0.810928\pi$
$353$	3.21325	−	10.9433i	0.171024	−	0.582454i	0.999740	−	0.0227854i	$-0.00725344\pi$
$354$	−8.20778	+	6.49043i	−0.436238	+	0.344963i
$355$	−28.9386	+	25.0754i	−1.53590	+	1.33087i
$356$	0.716718	+	5.64776i	0.0379860	+	0.299331i
$357$	−0.0226793	−	0.651961i	−0.00120031	−	0.0345055i
$358$	16.9096	−	9.05230i	0.893703	−	0.478429i
$359$	−17.6802	+	5.19137i	−0.933124	+	0.273990i	−0.712744	−	0.701424i	$-0.752548\pi$
$359$	−17.6802	+	5.19137i	−0.933124	+	0.273990i	−0.220380	+	0.975414i	$0.570730\pi$
$360$	−22.4541	−	7.24995i	−1.18344	−	0.382106i
$361$	8.88441	−	2.60870i	0.467601	−	0.137300i
$362$	−1.91409	−	5.26469i	−0.100602	−	0.276706i
$363$	−5.81620	−	17.5291i	−0.305271	−	0.920041i
$364$	1.04684	−	2.19525i	0.0548695	−	0.115063i
$365$		−	8.66321i		−	0.453453i
$366$	−16.6095	+	1.63105i	−0.868191	+	0.0852566i
$367$	3.63725	+	3.15170i	0.189863	+	0.164517i	0.744605	−	0.667505i	$-0.232638\pi$
$367$	3.63725	+	3.15170i	0.189863	+	0.164517i	−0.554742	+	0.832022i	$0.687183\pi$
$368$	9.73646	−	10.5115i	0.507548	−	0.547948i
$369$	−0.167263	−	2.40125i	−0.00870737	−	0.125004i
$370$	−12.8103	+	9.42506i	−0.665976	+	0.489986i
$371$	0.570517	−	1.24926i	0.0296197	−	0.0648582i
$372$	−5.51960	−	17.6061i	−0.286178	−	0.912834i
$373$	−4.50239			−0.233125			−0.116562	−	0.993183i	$-0.537187\pi$
$373$	−4.50239			−0.233125			−0.116562	+	0.993183i	$0.537187\pi$
$374$	−1.02186	+	1.34172i	−0.0528390	+	0.0693789i
$375$	10.5789	+	2.71055i	0.546290	+	0.139972i
$376$	3.39993	−	8.46666i	0.175338	−	0.436635i
$377$	14.6520	−	6.69136i	0.754618	−	0.344622i
$378$	0.907085	+	0.996163i	0.0466554	+	0.0512371i
$379$	−23.9822	+	20.7807i	−1.23188	+	1.06743i	−0.236482	+	0.971636i	$0.575994\pi$
$379$	−23.9822	+	20.7807i	−1.23188	+	1.06743i	−0.995401	+	0.0957969i	$0.969460\pi$
$380$	27.0930	−	11.8344i	1.38984	−	0.607090i
$381$	24.1045	+	6.17612i	1.23491	+	0.316412i
$382$	21.8079	−	11.6745i	1.11579	−	0.597318i
$383$	−3.35549	−	23.3380i	−0.171458	−	1.19251i	−0.875807	−	0.482661i	$-0.839670\pi$
$383$	−3.35549	−	23.3380i	−0.171458	−	1.19251i	0.704349	−	0.709854i	$-0.251239\pi$
$384$	17.4124	−	8.98934i	0.888573	−	0.458735i
$385$	0.283975	−	0.0833827i	0.0144727	−	0.00424958i
$386$	3.79982	−	3.73737i	0.193406	−	0.190227i
$387$	−1.34683	−	19.3352i	−0.0684631	−	0.982864i
$388$	26.0547	+	23.3435i	1.32273	+	1.18509i
$389$	−23.5636	+	10.7611i	−1.19472	+	0.545612i	−0.910645	−	0.413190i	$-0.864415\pi$
$389$	−23.5636	+	10.7611i	−1.19472	+	0.545612i	−0.284078	+	0.958801i	$0.591687\pi$
$390$	−36.8713	−	26.1070i	−1.86705	−	1.32198i
$391$	3.97830	−	6.19035i	0.201191	−	0.313059i
$392$	3.70854	+	19.3518i	0.187309	+	0.977412i
$393$	15.7773	+	22.7687i	0.795858	+	1.14853i
$394$	19.1420	−	25.1339i	0.964361	−	1.26623i
$395$	−3.90739	+	27.1765i	−0.196602	+	1.36740i
$396$	−0.184425	−	3.47823i	−0.00926770	−	0.174788i
$397$	−19.9015	−	12.7899i	−0.998825	−	0.641906i	−0.0643477	−	0.997928i	$-0.520497\pi$
$397$	−19.9015	−	12.7899i	−0.998825	−	0.641906i	−0.934478	+	0.356021i	$0.884133\pi$
$398$	19.0338	+	10.5989i	0.954079	+	0.531275i
$399$	−1.67827	−	0.182008i	−0.0840187	−	0.00911180i
$400$	9.38611	−	5.60154i	0.469306	−	0.280077i
$401$			18.5936i			0.928518i	0.885699	+	0.464259i	$0.153679\pi$
$401$			18.5936i			0.928518i	−0.885699	+	0.464259i	$0.846321\pi$
$402$	7.10213	+	18.7499i	0.354222	+	0.935161i
$403$		−	35.3281i		−	1.75982i
$404$	−14.4956	−	9.65885i	−0.721182	−	0.480546i
$405$	21.1040	−	13.4523i	1.04867	−	0.668451i
$406$	0.306340	−	0.550133i	0.0152034	−	0.0273026i
$407$	−1.97501	−	1.26926i	−0.0978977	−	0.0629151i
$408$	7.99645	−	6.11072i	0.395884	−	0.302526i
$409$	1.48992	−	10.3626i	0.0736719	−	0.512399i	−0.919254	−	0.393665i	$-0.871207\pi$
$409$	1.48992	−	10.3626i	0.0736719	−	0.512399i	0.992926	−	0.118735i	$-0.0378838\pi$
$410$	2.51022	+	1.91179i	0.123971	+	0.0944163i
$411$	−11.5495	+	8.00311i	−0.569696	+	0.394764i
$412$	−12.8565	−	29.4329i	−0.633392	−	1.45005i
$413$	−0.423434	+	0.658876i	−0.0208358	+	0.0324212i
$414$	2.01011	+	15.0635i	0.0987916	+	0.740332i
$415$	17.2112	−	7.86009i	0.844865	−	0.385837i
$416$	36.9616	−	6.45019i	1.81219	−	0.316247i
$417$	3.69047	−	4.57091i	0.180723	−	0.223838i
$418$	3.06035	+	3.11148i	0.149686	+	0.152188i
$419$	18.5946	−	5.45985i	0.908403	−	0.266731i	0.206035	−	0.978545i	$-0.433944\pi$
$419$	18.5946	−	5.45985i	0.908403	−	0.266731i	0.702369	+	0.711813i	$0.252126\pi$
$420$	−1.76580	+	0.0321426i	−0.0861621	+	0.00156840i
$421$	1.63938	+	11.4021i	0.0798986	+	0.555707i	0.989972	+	0.141261i	$0.0451156\pi$
$421$	1.63938	+	11.4021i	0.0798986	+	0.555707i	−0.910074	+	0.414446i	$0.863975\pi$
$422$	1.60348	+	2.99529i	0.0780561	+	0.145808i
$423$	4.62205	+	8.50212i	0.224732	+	0.413387i
$424$	20.8085	−	3.98770i	1.01055	−	0.193660i
$425$	4.24252	−	3.67617i	0.205793	−	0.178320i
$426$	24.4737	+	23.2105i	1.18576	+	1.12455i
$427$	−1.13629	+	0.518926i	−0.0549889	+	0.0251126i
$428$	−9.45135	−	1.51915i	−0.456848	−	0.0734311i
$429$	1.65530	−	6.46040i	0.0799188	−	0.311911i
$430$	20.2127	+	15.3940i	0.974742	+	0.742364i
$431$	38.8720			1.87240			0.936200	−	0.351468i	$-0.114317\pi$
$431$	38.8720			1.87240			0.936200	+	0.351468i	$0.114317\pi$
$432$	−4.42268	+	20.3086i	−0.212786	+	0.977099i
$433$	−6.25803	+	13.7032i	−0.300742	+	0.658533i	−0.998318	−	0.0579780i	$-0.981535\pi$
$433$	−6.25803	+	13.7032i	−0.300742	+	0.658533i	0.697576	+	0.716511i	$0.254262\pi$
$434$	−0.818434	−	1.11239i	−0.0392861	−	0.0533966i
$435$	−9.10079	−	7.34782i	−0.436350	−	0.352301i
$436$	−0.790075	+	2.53460i	−0.0378377	+	0.121385i
$437$	−14.3907	−	12.4697i	−0.688403	−	0.596504i
$438$	−7.59463	+	0.745794i	−0.362886	+	0.0356354i
$439$		−	18.3189i		−	0.874314i	−0.899385	−	0.437157i	$-0.855985\pi$
$439$		−	18.3189i		−	0.874314i	0.899385	−	0.437157i	$-0.144015\pi$
$440$	3.58605	+	2.82624i	0.170958	+	0.134736i
$441$	−18.3241	−	10.0499i	−0.872578	−	0.478567i
$442$	18.1097	−	6.58416i	0.861390	−	0.313177i
$443$	25.8633	−	7.59414i	1.22880	−	0.360809i	0.398004	−	0.917384i	$-0.369703\pi$
$443$	25.8633	−	7.59414i	1.22880	−	0.360809i	0.830797	+	0.556575i	$0.187885\pi$
$444$	9.36532	+	10.4188i	0.444459	+	0.494455i
$445$	7.59488	−	2.23006i	0.360032	−	0.105715i
$446$	3.50723	+	6.55149i	0.166072	+	0.310222i
$447$	−17.0541	+	0.593247i	−0.806630	+	0.0280596i
$448$	1.01440	−	1.05938i	0.0479258	−	0.0500508i
$449$	18.4075	−	15.9502i	0.868703	−	0.752735i	−0.101550	−	0.994830i	$-0.532380\pi$
$449$	18.4075	−	15.9502i	0.868703	−	0.752735i	0.970252	+	0.242095i	$0.0778347\pi$
$450$	−1.76623	+	11.4582i	−0.0832607	+	0.540147i
$451$	−0.131226	+	0.446915i	−0.00617920	+	0.0210444i
$452$	1.61866	−	10.0704i	0.0761353	−	0.473672i
$453$	6.16818	+	34.3704i	0.289806	+	1.61486i
$454$	−19.4950	−	1.55676i	−0.914945	−	0.0730626i
$455$	−3.24454	−	0.952684i	−0.152107	−	0.0446625i
$456$	−12.7070	−	22.7324i	−0.595060	−	1.06454i
$457$	15.0086	+	32.8642i	0.702071	+	1.53732i	0.837442	+	0.546526i	$0.184050\pi$
$457$	15.0086	+	32.8642i	0.702071	+	1.53732i	−0.135372	+	0.990795i	$0.543223\pi$
$458$	9.79444	−	9.63346i	0.457664	−	0.450142i
$459$	−0.410685	+	10.6666i	−0.0191691	+	0.497874i
$460$	−16.5781	−	11.0465i	−0.772956	−	0.515044i
$461$	11.5741	+	5.28573i	0.539061	+	0.246181i	0.666290	−	0.745692i	$-0.267881\pi$
$461$	11.5741	+	5.28573i	0.539061	+	0.246181i	−0.127229	+	0.991873i	$0.540608\pi$
$462$	−0.0975445	−	0.241770i	−0.00453818	−	0.0112482i
$463$	16.6901	+	25.9703i	0.775654	+	1.20694i	0.973942	+	0.226798i	$0.0728257\pi$
$463$	16.6901	+	25.9703i	0.775654	+	1.20694i	−0.198287	+	0.980144i	$0.563538\pi$
$464$	9.65575	−	1.06308i	0.448257	−	0.0493525i
$465$	−22.9511	+	11.4619i	−1.06433	+	0.531532i
$466$	−7.25903	−	13.5598i	−0.336268	−	0.628147i
$467$	−0.891183	+	6.19832i	−0.0412390	+	0.286824i	0.958758	+	0.284225i	$0.0917363\pi$
$467$	−0.891183	+	6.19832i	−0.0412390	+	0.286824i	−0.999997	+	0.00259876i	$0.999173\pi$
$468$	−19.7126	+	34.5709i	−0.911215	+	1.59804i
$469$	0.958256	+	1.15493i	0.0442482	+	0.0533298i
$470$	−12.3729	−	2.79912i	−0.570719	−	0.129114i
$471$	−21.3155	−	30.7610i	−0.982165	−	1.41739i
$472$	−12.0696	+	0.562158i	−0.555548	+	0.0258754i
$473$	−1.05665	+	3.59863i	−0.0485850	+	0.165465i
$474$	24.1608	+	1.08587i	1.10974	+	0.0498756i
$475$	−7.85366	−	12.2205i	−0.360351	−	0.560716i
$476$	0.417696	−	0.626860i	0.0191451	−	0.0287321i
$477$	−10.8064	+	19.7035i	−0.494792	+	0.902161i
$478$	25.2834	+	9.66959i	1.15643	+	0.442277i
$479$	10.7976	−	12.4611i	0.493353	−	0.569360i	−0.453405	−	0.891305i	$-0.649791\pi$
$479$	10.7976	−	12.4611i	0.493353	−	0.569360i	0.946759	+	0.321944i	$0.104336\pi$
$480$	−16.1822	−	21.9196i	−0.738615	−	1.00049i
$481$	11.1429	+	24.3995i	0.508072	+	1.11252i
$482$	−4.31448	+	0.901184i	−0.196519	+	0.0410478i
$483$	0.508210	+	1.01763i	0.0231244	+	0.0463039i
$484$	6.34647	−	20.3598i	0.288476	−	0.925444i
$485$	26.2961	−	40.9176i	1.19405	−	1.85797i
$486$	−13.6098	−	17.3428i	−0.617354	−	0.786686i
$487$	−2.09084	+	7.12074i	−0.0947449	+	0.322671i	−0.993204	−	0.116386i	$-0.962869\pi$
$487$	−2.09084	+	7.12074i	−0.0947449	+	0.322671i	0.898459	+	0.439057i	$0.144687\pi$
$488$	−16.6792	−	9.65325i	−0.755031	−	0.436982i
$489$	−2.32354	+	21.4250i	−0.105074	+	0.968874i
$490$	25.7471	−	9.36089i	1.16313	−	0.422882i
$491$	−14.5902	+	16.8380i	−0.658447	+	0.759888i	−0.982523	−	0.186143i	$-0.940401\pi$
$491$	−14.5902	+	16.8380i	−0.658447	+	0.759888i	0.324076	+	0.946031i	$0.394947\pi$
$492$	1.45987	−	2.36517i	0.0658162	−	0.106630i
$493$	4.78684	−	1.40554i	0.215589	−	0.0633025i
$494$	−10.1953	−	48.8106i	−0.458707	−	2.19609i
$495$	−4.73408	+	1.02064i	−0.212781	+	0.0458744i
$496$	6.67653	−	20.2323i	0.299785	−	0.908456i
$497$	2.29647	+	1.04876i	0.103011	+	0.0470434i
$498$	−8.37225	−	14.4116i	−0.375169	−	0.645800i
$499$		−	41.9560i		−	1.87821i	−0.343634	−	0.939104i	$-0.611658\pi$
$499$		−	41.9560i		−	1.87821i	0.343634	−	0.939104i	$-0.388342\pi$
$500$	8.09875	+	9.66555i	0.362187	+	0.432256i
$501$	−0.591419	−	17.0015i	−0.0264227	−	0.759572i
$502$	42.2108	+	3.37073i	1.88396	+	0.150443i
$503$	4.51424	+	31.3973i	0.201280	+	1.39993i	0.800492	+	0.599344i	$0.204572\pi$
$503$	4.51424	+	31.3973i	0.201280	+	1.39993i	−0.599211	+	0.800591i	$0.704519\pi$
$504$	0.180191	+	1.54523i	0.00802635	+	0.0688298i
$505$	−10.0608	+	22.0302i	−0.447702	+	0.980330i
$506$	0.648884	−	2.86825i	0.0288464	−	0.127509i
$507$	−39.3225	+	36.5425i	−1.74637	+	1.62291i
$508$	18.4534	+	22.0234i	0.818738	+	0.977132i
$509$	15.1787	+	23.6186i	0.672786	+	1.04687i	0.994968	+	0.100197i	$0.0319474\pi$
$509$	15.1787	+	23.6186i	0.672786	+	1.04687i	−0.322182	+	0.946678i	$0.604416\pi$
$510$	−10.1530	−	9.62889i	−0.449581	−	0.426374i
$511$	−0.519565	+	0.237277i	−0.0229842	+	0.0104965i
$512$	22.3868	+	3.29123i	0.989365	+	0.145453i
$513$	27.1699	+	4.98011i	1.19958	+	0.219877i
$514$	−20.0579	+	14.7574i	−0.884716	+	0.650922i
$515$	−37.5675	+	24.1432i	−1.65542	+	1.06388i
$516$	11.7551	−	19.0448i	0.517491	−	0.838399i
$517$	−0.266501	−	1.85355i	−0.0117207	−	0.0815191i
$518$	0.916118	+	0.510137i	0.0402519	+	0.0224141i
$519$	13.1760	+	7.83422i	0.578363	+	0.343884i
$520$	−17.0101	−	49.3161i	−0.745943	−	2.16266i
$521$	−24.3780	+	3.50503i	−1.06802	+	0.153558i	−0.653837	−	0.756635i	$-0.726842\pi$
$521$	−24.3780	+	3.50503i	−1.06802	+	0.153558i	−0.414184	+	0.910193i	$0.635933\pi$
$522$	−5.65803	+	8.61080i	−0.247645	+	0.376884i
$523$	7.48353	−	3.41761i	0.327232	−	0.149442i	−0.245024	−	0.969517i	$-0.578796\pi$
$523$	7.48353	−	3.41761i	0.327232	−	0.149442i	0.572256	+	0.820075i	$0.306068\pi$
$524$	−0.530030	+	31.9817i	−0.0231545	+	1.39713i
$525$	0.153282	+	0.854116i	0.00668976	+	0.0372767i
$526$	15.8877	+	21.5941i	0.692735	+	0.941547i
$527$	1.55720	−	10.8306i	0.0678329	−	0.471788i
$528$	2.16892	−	3.38702i	0.0943900	−	0.147401i
$529$	1.44726	−	10.0659i	0.0629243	−	0.437648i
$530$	−10.0655	−	27.6852i	−0.437219	−	1.20257i
$531$	7.69913	−	10.2452i	0.334114	−	0.444602i
$532$	−1.45180	−	1.30073i	−0.0629436	−	0.0563939i
$533$	4.02193	−	3.48502i	0.174209	−	0.150953i
$534$	−2.60881	−	6.46610i	−0.112894	−	0.279816i
$535$			13.3096i			0.575426i
$536$	−5.96214	+	22.3708i	−0.257525	+	0.966272i
$537$	−17.2077	+	15.9911i	−0.742566	+	0.690068i
$538$	−1.77194	+	4.63314i	−0.0763936	+	0.199749i
$539$	2.64834	+	3.05634i	0.114072	+	0.131646i
$540$	28.8547	+	1.59019i	1.24171	+	0.0684308i
$541$	3.34299	+	2.14841i	0.143726	+	0.0923674i	0.610528	−	0.791995i	$-0.290957\pi$
$541$	3.34299	+	2.14841i	0.143726	+	0.0923674i	−0.466801	+	0.884362i	$0.654594\pi$
$542$	−26.6152	+	9.67653i	−1.14322	+	0.415643i
$543$	3.90766	+	5.63926i	0.167694	+	0.242004i
$544$	11.6157	−	0.348243i	0.498019	−	0.0149308i
$545$	3.65372	+	0.525326i	0.156508	+	0.0225025i
$546$	−0.555859	+	2.92636i	−0.0237886	+	0.125236i
$547$	−15.3536	+	23.8907i	−0.656473	+	1.02149i	0.340229	+	0.940343i	$0.389495\pi$
$547$	−15.3536	+	23.8907i	−0.656473	+	1.02149i	−0.996702	+	0.0811489i	$0.974141\pi$
$548$	−16.2229	−	0.268861i	−0.693009	−	0.0114852i
$549$	19.1647	−	7.10758i	0.817929	−	0.303344i
$550$	1.09144	−	1.96004i	0.0465391	−	0.0835762i
$551$	−1.83728	−	12.7785i	−0.0782707	−	0.544384i
$552$	−8.25676	+	15.4842i	−0.351431	+	0.659050i
$553$	1.73690	−	0.509998i	0.0738603	−	0.0216873i
$554$	−7.61493	+	13.6751i	−0.323527	+	0.580999i
$555$	12.2361	−	15.1553i	0.519393	−	0.643305i
$556$	6.53958	−	1.80304i	0.277340	−	0.0764659i
$557$	−20.2442	−	31.5006i	−0.857775	−	1.33472i	−0.941074	−	0.338199i	$-0.890182\pi$
$557$	−20.2442	−	31.5006i	−0.857775	−	1.33472i	0.0832994	−	0.996525i	$-0.473454\pi$
$558$	12.0239	+	19.1334i	0.509012	+	0.809982i
$559$	32.3852	−	28.0619i	1.36975	−	1.18689i
$560$	−1.67810	−	1.15877i	−0.0709125	−	0.0489672i
$561$	0.792234	−	1.90761i	0.0334481	−	0.0805396i
$562$	25.8245	−	1.63206i	1.08934	−	0.0688442i
$563$	9.21311	−	5.92091i	0.388286	−	0.249536i	−0.331904	−	0.943313i	$-0.607691\pi$
$563$	9.21311	−	5.92091i	0.388286	−	0.249536i	0.720190	+	0.693777i	$0.244055\pi$
$564$	−1.38871	+	11.0877i	−0.0584752	+	0.466877i
$565$	−14.1814			−0.596617
$566$	−15.5096	−	3.50875i	−0.651918	−	0.147484i
$567$	−1.38480	−	0.897238i	−0.0581563	−	0.0376804i
$568$	7.33046	+	38.2516i	0.307579	+	1.60500i
$569$	20.0842	−	2.88768i	0.841975	−	0.121058i	0.292186	−	0.956361i	$-0.405617\pi$
$569$	20.0842	−	2.88768i	0.841975	−	0.121058i	0.549789	+	0.835304i	$0.314708\pi$
$570$	−28.4023	+	22.4596i	−1.18964	+	0.940727i
$571$	−13.2075	−	11.4444i	−0.552718	−	0.478933i	0.333148	−	0.942875i	$-0.391889\pi$
$571$	−13.2075	−	11.4444i	−0.552718	−	0.478933i	−0.885866	+	0.463942i	$0.846435\pi$
$572$	5.90265	−	4.94582i	0.246802	−	0.206795i
$573$	−22.1922	+	20.6233i	−0.927093	+	0.861550i
$574$	0.0459042	−	0.202909i	0.00191601	−	0.00846927i
$575$	−4.06618	+	8.90369i	−0.169571	+	0.371310i
$576$	−17.8228	+	16.0732i	−0.742616	+	0.669718i
$577$	−28.3545	+	8.32562i	−1.18041	+	0.346600i	−0.812333	−	0.583195i	$-0.801803\pi$
$577$	−28.3545	+	8.32562i	−1.18041	+	0.346600i	−0.368079	+	0.929795i	$0.619984\pi$
$578$	−17.6916	+	3.69532i	−0.735873	+	0.153705i
$579$	−3.33606	+	5.61075i	−0.138642	+	0.233175i
$580$	−3.58990	−	13.0205i	−0.149062	−	0.540645i
$581$	−0.942798	−	0.816939i	−0.0391138	−	0.0338923i
$582$	−38.1343	−	19.5301i	−1.58072	−	0.809549i
$583$	3.28641	−	2.84769i	0.136109	−	0.117939i
$584$	−7.62650	−	4.41392i	−0.315587	−	0.182649i
$585$	51.8071	+	19.4326i	2.14196	+	0.803440i
$586$	27.6018	−	1.74438i	1.14022	−	0.0720597i
$587$	−1.51144	−	0.971342i	−0.0623837	−	0.0400916i	0.509077	−	0.860721i	$-0.329987\pi$
$587$	−1.51144	−	0.971342i	−0.0623837	−	0.0400916i	−0.571461	+	0.820629i	$0.693623\pi$
$588$	−10.4228	−	21.7654i	−0.429827	−	0.897590i
$589$	−27.1678	−	7.97718i	−1.11943	−	0.328694i
$590$	3.43486	+	16.4446i	0.141411	+	0.677014i
$591$	−14.8406	+	35.7345i	−0.610459	+	1.46992i
$592$	1.77032	+	16.0794i	0.0727597	+	0.660859i
$593$	35.5484	+	30.8029i	1.45980	+	1.26492i	0.899707	+	0.436494i	$0.143780\pi$
$593$	35.5484	+	30.8029i	1.45980	+	1.26492i	0.560093	+	0.828430i	$0.310766\pi$
$594$	1.30229	+	4.06229i	0.0534338	+	0.166678i
$595$	−0.952694	−	0.435081i	−0.0390566	−	0.0178366i
$596$	−16.3975	−	10.9261i	−0.671667	−	0.447552i
$597$	−25.8471	−	6.62264i	−1.05785	−	0.271046i
$598$	−23.9542	+	23.5605i	−0.979560	+	0.963460i
$599$	−22.8070	−	6.69675i	−0.931871	−	0.273622i	−0.219651	−	0.975579i	$-0.570492\pi$
$599$	−22.8070	−	6.69675i	−0.931871	−	0.273622i	−0.712220	+	0.701957i	$0.752310\pi$
$600$	−9.37179	+	9.55950i	−0.382602	+	0.390265i
$601$	4.32708	−	30.0955i	0.176505	−	1.22762i	−0.688268	−	0.725457i	$-0.741629\pi$
$601$	4.32708	−	30.0955i	0.176505	−	1.22762i	0.864773	−	0.502163i	$-0.167462\pi$
$602$	0.369628	−	1.63386i	0.0150649	−	0.0665910i
$603$	−14.2547	−	19.9951i	−0.580497	−	0.814262i
$604$	−17.3556	+	36.3952i	−0.706191	+	1.48090i
$605$	−29.3494	−	4.21981i	−1.19322	−	0.171560i
$606$	20.1789	+	6.92335i	0.819713	+	0.281242i
$607$	−3.46719	+	11.8082i	−0.140729	+	0.479279i	−0.999450	−	0.0331647i	$-0.989441\pi$
$607$	−3.46719	+	11.8082i	−0.140729	+	0.479279i	0.858721	+	0.512444i	$0.171260\pi$
$608$	3.38574	−	29.8804i	0.137310	−	1.21181i
$609$	−0.191414	+	0.747058i	−0.00775647	+	0.0302723i
$610$	−9.57135	+	25.0265i	−0.387533	+	1.01329i
$611$	−8.88798	+	19.4620i	−0.359569	+	0.787347i
$612$	−7.56716	+	9.72956i	−0.305884	+	0.393294i
$613$	30.3193	−	34.9903i	1.22458	−	1.41324i	0.344258	−	0.938875i	$-0.388130\pi$
$613$	30.3193	−	34.9903i	1.22458	−	1.41324i	0.880326	−	0.474370i	$-0.157324\pi$
$614$	−25.2961	−	25.7188i	−1.02087	−	1.03793i
$615$	−3.56894	−	1.48218i	−0.143914	−	0.0597674i
$616$	0.0712815	−	0.292476i	0.00287201	−	0.0117842i
$617$	1.22285	−	4.16464i	0.0492301	−	0.167662i	−0.931209	−	0.364486i	$-0.881245\pi$
$617$	1.22285	−	4.16464i	0.0492301	−	0.167662i	0.980439	+	0.196824i	$0.0630628\pi$
$618$	24.3993	+	30.8553i	0.981484	+	1.24118i
$619$	−4.28682	+	6.67043i	−0.172302	+	0.268107i	−0.916655	−	0.399679i	$-0.869122\pi$
$619$	−4.28682	+	6.67043i	−0.172302	+	0.268107i	0.744353	+	0.667786i	$0.232758\pi$
$620$	−29.2473	−	4.70103i	−1.17460	−	0.188798i
$621$	−7.07482	−	17.2155i	−0.283903	−	0.690833i
$622$	−29.8364	−	2.38257i	−1.19633	−	0.0955324i
$623$	−0.341762	−	0.394414i	−0.0136924	−	0.0158019i
$624$	−41.7688	+	19.1575i	−1.67209	+	0.766913i
$625$	20.4290	−	23.5763i	0.817158	−	0.943051i
$626$	20.8383	−	11.1554i	0.832865	−	0.445861i
$627$	−4.59437	−	2.73173i	−0.183481	−	0.109095i
$628$	0.716082	−	43.2081i	0.0285748	−	1.72419i
$629$	2.34061	+	7.97137i	0.0933261	+	0.317840i
$630$	2.08147	−	0.588313i	0.0829276	−	0.0234389i
$631$	−25.4079	−	11.6034i	−1.01147	−	0.461924i	−0.160445	−	0.987045i	$-0.551293\pi$
$631$	−25.4079	−	11.6034i	−1.01147	−	0.461924i	−0.851028	+	0.525121i	$0.824020\pi$
$632$	21.9335	+	17.2863i	0.872469	+	0.687611i
$633$	−2.83259	−	3.04808i	−0.112585	−	0.121150i
$634$	−29.7941	+	39.1204i	−1.18328	+	1.55367i
$635$	26.1612	−	30.1916i	1.03817	−	1.19812i
$636$	−23.4038	+	11.2073i	−0.928021	+	0.444400i
$637$	−6.57578	−	45.7356i	−0.260542	−	1.81211i
$638$	1.60594	−	1.18155i	0.0635796	−	0.0467782i
$639$	−36.2203	−	19.8651i	−1.43285	−	0.785852i
$640$	−0.421562	−	31.4579i	−0.0166637	−	1.24348i
$641$			21.9389i			0.866536i	0.901265	+	0.433268i	$0.142640\pi$
$641$			21.9389i			0.866536i	−0.901265	+	0.433268i	$0.857360\pi$
$642$	11.6679	−	1.14579i	0.460497	−	0.0452209i
$643$	17.7452	+	27.6121i	0.699803	+	1.08891i	0.991208	+	0.132315i	$0.0422411\pi$
$643$	17.7452	+	27.6121i	0.699803	+	1.08891i	−0.291405	+	0.956600i	$0.594123\pi$
$644$	−0.208440	+	1.29680i	−0.00821369	+	0.0511011i
$645$	−28.7377	−	11.9348i	−1.13154	−	0.469931i
$646$	−0.974093	−	15.4133i	−0.0383252	−	0.606430i
$647$	28.5945	+	32.9998i	1.12417	+	1.29736i	0.949863	+	0.312665i	$0.101222\pi$
$647$	28.5945	+	32.9998i	1.12417	+	1.29736i	0.174303	+	0.984692i	$0.444233\pi$
$648$	−1.08999	−	25.4325i	−0.0428189	−	0.999083i
$649$	−2.08623	+	1.34074i	−0.0818916	+	0.0526285i
$650$	−22.5978	+	12.0974i	−0.886360	+	0.474498i
$651$	1.31602	+	1.06253i	0.0515789	+	0.0416439i
$652$	−16.6053	+	18.5339i	−0.650314	+	0.725843i
$653$	−2.37595	−	8.09173i	−0.0929780	−	0.316654i	0.899851	−	0.436197i	$-0.143675\pi$
$653$	−2.37595	−	8.09173i	−0.0929780	−	0.316654i	−0.992829	+	0.119544i	$0.961857\pi$
$654$	0.145989	−	3.24827i	0.00570862	−	0.127018i
$655$	44.0202	−	6.32915i	1.72001	−	0.247300i
$656$	2.96197	−	1.23577i	0.115645	−	0.0482487i
$657$	8.76299	−	3.24992i	0.341877	−	0.126791i
$658$	0.171008	+	0.818714i	0.00666660	+	0.0319168i
$659$	−33.2232	−	21.3513i	−1.29419	−	0.831728i	−0.301626	−	0.953426i	$-0.597529\pi$
$659$	−33.2232	−	21.3513i	−1.29419	−	0.831728i	−0.992567	+	0.121699i	$0.961166\pi$
$660$	−5.12814	−	2.23006i	−0.199613	−	0.0868049i
$661$	−0.544759	+	3.78888i	−0.0211887	+	0.147370i	−0.997669	−	0.0682347i	$-0.978263\pi$
$661$	−0.544759	+	3.78888i	−0.0211887	+	0.147370i	0.976481	+	0.215605i	$0.0691724\pi$
$662$	−20.1470	+	26.4536i	−0.783037	+	1.02815i
$663$	−19.3982	+	13.4417i	−0.753362	+	0.522033i
$664$	1.84964	−	19.1563i	0.0717801	−	0.743409i
$665$	−1.46526	+	2.27998i	−0.0568202	+	0.0884139i
$666$	−14.3393	−	9.42212i	−0.555636	−	0.365100i
$667$	−6.57421	+	5.69658i	−0.254554	+	0.220573i
$668$	10.8925	−	16.3470i	0.421443	−	0.632483i
$669$	−6.19562	−	6.66696i	−0.239537	−	0.257760i
$670$	32.0253	+	3.24849i	1.23725	+	0.125500i
$671$	−3.95531			−0.152693
$672$	−0.871381	+	1.57087i	−0.0336142	+	0.0605975i
$673$	−1.56760	−	1.80911i	−0.0604266	−	0.0697360i	0.724732	−	0.689031i	$-0.241964\pi$
$673$	−1.56760	−	1.80911i	−0.0604266	−	0.0697360i	−0.785158	+	0.619295i	$0.787418\pi$
$674$	10.2085	−	18.3326i	0.393215	−	0.706147i
$675$	−1.47852	−	14.1220i	−0.0569084	−	0.543555i
$676$	−61.4919	+	7.80351i	−2.36507	+	0.300135i
$677$	−18.5023	−	2.66023i	−0.711102	−	0.102241i	−0.222734	−	0.974879i	$-0.571498\pi$
$677$	−18.5023	−	2.66023i	−0.711102	−	0.102241i	−0.488367	+	0.872638i	$0.662407\pi$
$678$	1.22084	+	12.4322i	0.0468862	+	0.477455i
$679$	−3.17420	−	0.456382i	−0.121815	−	0.0175143i
$680$	−3.04105	−	15.8687i	−0.116619	−	0.608538i
$681$	23.5757	−	4.23095i	0.903425	−	0.162130i
$682$	−0.894075	−	4.28045i	−0.0342359	−	0.163907i
$683$	−3.47877	−	7.61744i	−0.133111	−	0.291473i	0.831326	−	0.555785i	$-0.187582\pi$
$683$	−3.47877	−	7.61744i	−0.133111	−	0.291473i	−0.964437	+	0.264312i	$0.914855\pi$
$684$	22.1343	+	22.9655i	0.846327	+	0.878107i
$685$	3.21050	+	22.3295i	0.122667	+	0.853167i
$686$	−2.53930	−	2.58173i	−0.0969510	−	0.0985711i
$687$	−8.59904	+	14.4623i	−0.328074	+	0.551772i
$688$	23.8502	−	9.95062i	0.909281	−	0.379364i
$689$	−49.1783	+	7.07078i	−1.87355	+	0.269375i
$690$	23.0779	+	7.91798i	0.878562	+	0.301432i
$691$	−6.07004	−	9.44516i	−0.230915	−	0.359311i	0.706389	−	0.707824i	$-0.250323\pi$
$691$	−6.07004	−	9.44516i	−0.230915	−	0.359311i	−0.937304	+	0.348513i	$0.886687\pi$
$692$	7.08526	+	16.2206i	0.269341	+	0.616616i
$693$	0.190874	+	0.255966i	0.00725070	+	0.00972335i
$694$	1.83242	+	28.9948i	0.0695576	+	1.10063i
$695$	−3.91810	−	8.57943i	−0.148622	−	0.325436i
$696$	−11.1054	+	4.26800i	−0.420949	+	0.161778i
$697$	1.38662	−	0.891129i	0.0525221	−	0.0337539i
$698$	36.4734	+	27.7782i	1.38054	+	1.05142i
$699$	12.8233	+	13.7988i	0.485021	+	0.521919i
$700$	−0.431294	+	0.904433i	−0.0163014	+	0.0341844i
$701$	−15.5696	−	7.11041i	−0.588057	−	0.268557i	0.0990861	−	0.995079i	$-0.468408\pi$
$701$	−15.5696	−	7.11041i	−0.588057	−	0.268557i	−0.687143	+	0.726522i	$0.741135\pi$
$702$	12.5757	−	47.0898i	0.474640	−	1.77729i
$703$	21.2797	−	3.05956i	0.802579	−	0.115393i
$704$	4.31512	−	1.71694i	0.162632	−	0.0647096i
$705$	15.5272	−	0.540133i	0.584788	−	0.0203426i
$706$	−9.77273	+	12.8318i	−0.367802	+	0.482933i
$707$	1.59679			0.0600534
$708$	14.1205	−	4.42686i	0.530682	−	0.166372i
$709$	13.4407	−	29.4311i	0.504777	−	1.10531i	−0.470110	−	0.882608i	$-0.655786\pi$
$709$	13.4407	−	29.4311i	0.504777	−	1.10531i	0.974887	−	0.222700i	$-0.0714871\pi$
$710$	50.8928	−	18.5032i	1.90997	−	0.694411i
$711$	−28.9553	+	6.24260i	−1.08591	+	0.234116i
$712$	1.90641	−	7.82224i	0.0714458	−	0.293151i
$713$	5.37515	+	18.3061i	0.201301	+	0.685568i
$714$	−0.299400	+	0.872637i	−0.0112048	+	0.0326576i
$715$	−8.09185	−	7.01163i	−0.302618	−	0.262220i
$716$	−26.9091	+	3.41485i	−1.00564	+	0.127619i
$717$	−32.9598	−	3.57448i	−1.23091	−	0.133491i
$718$	25.9764	+	2.07434i	0.969431	+	0.0774136i
$719$	39.7692	+	11.6773i	1.48314	+	0.435490i	0.920345	−	0.391107i	$-0.127908\pi$
$719$	39.7692	+	11.6773i	1.48314	+	0.435490i	0.562796	+	0.826596i	$0.309726\pi$
$720$	25.9973	+	20.9199i	0.968861	+	0.779637i
$721$	2.47690	+	1.59180i	0.0922444	+	0.0592819i
$722$	−13.0533	−	1.04237i	−0.485795	−	0.0387930i
$723$	4.82943	−	2.41184i	0.179608	−	0.0896972i
$724$	−0.131276	+	7.92112i	−0.00487883	+	0.294386i
$725$	−6.03656	+	2.75680i	−0.224192	+	0.102385i
$726$	−1.17269	+	26.0926i	−0.0435227	+	0.968386i
$727$	9.63859	+	8.35188i	0.357475	+	0.309754i	0.815020	−	0.579432i	$-0.196726\pi$
$727$	9.63859	+	8.35188i	0.357475	+	0.309754i	−0.457545	+	0.889186i	$0.651271\pi$
$728$	−2.49178	+	2.37088i	−0.0923515	+	0.0878708i
$729$	21.5242	+	16.3006i	0.797193	+	0.603724i
$730$	−4.37647	+	11.4433i	−0.161980	+	0.423535i
$731$	11.1653	−	7.17551i	0.412964	−	0.265396i
$732$	22.7635	+	6.23629i	0.841365	+	0.230500i
$733$	2.47571	+	0.726934i	0.0914425	+	0.0268499i	0.327134	−	0.944978i	$-0.393917\pi$
$733$	2.47571	+	0.726934i	0.0914425	+	0.0268499i	−0.235691	+	0.971828i	$0.575735\pi$
$734$	−3.21230	−	6.00056i	−0.118568	−	0.221485i
$735$	−27.5789	+	19.1105i	−1.01726	+	0.704901i
$736$	−18.1711	+	8.96601i	−0.669796	+	0.330491i
$737$	1.24084	+	4.58688i	0.0457069	+	0.168960i
$738$	−0.992120	+	3.25632i	−0.0365204	+	0.119867i
$739$	3.42050	+	0.491793i	0.125825	+	0.0180909i	0.204940	−	0.978775i	$-0.434300\pi$
$739$	3.42050	+	0.491793i	0.125825	+	0.0180909i	−0.0791146	+	0.996866i	$0.525209\pi$
$740$	21.6826	−	5.97814i	0.797066	−	0.219761i
$741$	27.2856	+	54.6362i	1.00236	+	2.00711i
$742$	−1.38470	+	1.36194i	−0.0508338	+	0.0499984i
$743$	22.7415	−	14.6151i	0.834303	−	0.536174i	−0.0523393	−	0.998629i	$-0.516668\pi$
$743$	22.7415	−	14.6151i	0.834303	−	0.536174i	0.886643	+	0.462455i	$0.153031\pi$
$744$	−1.60335	+	26.0444i	−0.0587818	+	0.954834i
$745$	−11.3809	+	24.9207i	−0.416963	+	0.913022i
$746$	5.94723	+	2.27451i	0.217744	+	0.0832757i
$747$	14.4072	+	14.4608i	0.527133	+	0.529093i
$748$	2.02759	−	1.25607i	0.0741360	−	0.0459265i
$749$	0.798228	−	0.364539i	0.0291666	−	0.0133200i
$750$	−12.6044	−	8.92460i	−0.460247	−	0.325880i
$751$	−2.07641	+	7.07160i	−0.0757693	+	0.258046i	−0.988663	−	0.150151i	$-0.952024\pi$
$751$	−2.07641	+	7.07160i	−0.0757693	+	0.258046i	0.912894	+	0.408197i	$0.133842\pi$
$752$	−8.76817	+	9.46610i	−0.319742	+	0.345193i
$753$	−51.0465	+	9.16092i	−1.86024	+	0.333842i
$754$	−22.7343	+	1.43676i	−0.827934	+	0.0523238i
$755$	53.7914	+	15.7946i	1.95767	+	0.574823i
$756$	−0.694935	−	1.77408i	−0.0252745	−	0.0645226i
$757$	−23.1041	−	26.6635i	−0.839732	−	0.969103i	0.160106	−	0.987100i	$-0.448816\pi$
$757$	−23.1041	−	26.6635i	−0.839732	−	0.969103i	−0.999838	+	0.0179972i	$0.994271\pi$
$758$	42.1762	−	15.3341i	1.53191	−	0.556958i
$759$	0.125212	+	3.59946i	0.00454490	+	0.130652i
$760$	−41.7657	+	1.94530i	−1.51500	+	0.0705634i
$761$	6.88556	+	23.4501i	0.249601	+	0.850064i	0.985018	+	0.172449i	$0.0551680\pi$
$761$	6.88556	+	23.4501i	0.249601	+	0.850064i	−0.735417	+	0.677615i	$0.763014\pi$
$762$	−28.7197	−	20.3352i	−1.04041	−	0.736665i
$763$	−0.0685663	−	0.233516i	−0.00248227	−	0.00845383i
$764$	−34.7038	+	4.40402i	−1.25554	+	0.159332i
$765$	15.0260	+	8.24107i	0.543268	+	0.297957i
$766$	−7.35756	+	32.5224i	−0.265839	+	1.17508i
$767$	28.3340			1.02308
$768$	−27.5414	+	3.07770i	−0.993814	+	0.111057i
$769$	22.5969	−	26.0783i	0.814866	−	0.940406i	−0.184231	−	0.982883i	$-0.558979\pi$
$769$	22.5969	−	26.0783i	0.814866	−	0.940406i	0.999097	+	0.0424770i	$0.0135249\pi$
$770$	−0.417228	−	0.0333176i	−0.0150359	−	0.00120068i
$771$	19.1588	−	23.7295i	0.689988	−	0.854599i
$772$	−6.90725	+	3.01713i	−0.248597	+	0.108589i
$773$	17.2535	+	7.87942i	0.620566	+	0.283403i	0.700783	−	0.713374i	$-0.252834\pi$
$773$	17.2535	+	7.87942i	0.620566	+	0.283403i	−0.0802171	+	0.996777i	$0.525561\pi$
$774$	−7.98871	+	26.2204i	−0.287148	+	0.942473i
$775$			14.5550i			0.522830i
$776$	−22.6231	−	43.9969i	−0.812123	−	1.57940i
$777$	−1.24405	−	0.318755i	−0.0446301	−	0.0114353i
$778$	36.5616	−	2.31063i	1.31080	−	0.0828399i
$779$	−1.77187	−	3.87985i	−0.0634837	−	0.139010i
$780$	35.5149	+	53.1115i	1.27164	+	1.90170i
$781$	5.23482	+	6.04130i	0.187317	+	0.216175i
$782$	−8.38219	+	6.16712i	−0.299747	+	0.220536i
$783$	4.01838	−	11.9621i	0.143605	−	0.427490i
$784$	4.87748	−	27.4354i	0.174196	−	0.979834i
$785$	−59.4723	+	8.55083i	−2.12266	+	0.305192i
$786$	−9.33806	−	38.0456i	−0.333078	−	1.35704i
$787$	5.72311	+	19.4911i	0.204007	+	0.694784i	0.996400	+	0.0847731i	$0.0270166\pi$
$787$	5.72311	+	19.4911i	0.204007	+	0.694784i	−0.792393	+	0.610010i	$0.791165\pi$
$788$	−37.9819	+	23.5294i	−1.35305	+	0.838201i
$789$	−25.5469	−	20.6262i	−0.909495	−	0.734310i
$790$	18.8903	−	33.9237i	0.672086	−	1.20695i
$791$	0.388416	+	0.850512i	0.0138105	+	0.0302407i
$792$	−1.51352	+	4.68758i	−0.0537806	+	0.166566i
$793$	38.0173	+	24.4322i	1.35003	+	0.867613i
$794$	19.8268	+	26.9480i	0.703626	+	0.956350i
$795$	20.5490	+	29.6549i	0.728799	+	1.05175i
$796$	−19.7875	−	23.6157i	−0.701351	−	0.837035i
$797$	17.1417	+	2.46460i	0.607188	+	0.0873005i	0.439050	−	0.898463i	$-0.355315\pi$
$797$	17.1417	+	2.46460i	0.607188	+	0.0873005i	0.168139	+	0.985763i	$0.446224\pi$
$798$	2.12489	+	1.08824i	0.0752205	+	0.0385234i
$799$	−3.58266	+	5.57472i	−0.126745	+	0.197220i
$800$	−15.2280	+	2.65745i	−0.538390	+	0.0939549i
$801$	5.10489	+	6.84577i	0.180372	+	0.241884i
$802$	9.39308	−	24.5604i	0.331681	−	0.867257i
$803$	−1.80856			−0.0638225
$804$	0.0908186	−	28.3547i	0.00320292	−	0.999995i
$805$	1.82619			0.0643647
$806$	−17.8470	+	46.6651i	−0.628633	+	1.64371i
$807$	0.655017	−	6.03983i	0.0230577	−	0.212612i
$808$	14.2679	+	20.0813i	0.501941	+	0.706457i
$809$	22.9602	−	35.7268i	0.807238	−	1.25609i	−0.156085	−	0.987744i	$-0.549888\pi$
$809$	22.9602	−	35.7268i	0.807238	−	1.25609i	0.963323	−	0.268343i	$-0.0864761\pi$
$810$	−34.6722	+	7.10796i	−1.21826	+	0.249748i
$811$	24.0785	+	3.46196i	0.845509	+	0.121566i	0.551436	−	0.834217i	$-0.314080\pi$
$811$	24.0785	+	3.46196i	0.845509	+	0.121566i	0.294073	+	0.955783i	$0.404989\pi$
$812$	−0.682561	+	0.571918i	−0.0239532	+	0.0200704i
$813$	28.5088	−	19.7549i	0.999849	−	0.692833i
$814$	1.96760	+	2.67431i	0.0689644	+	0.0937346i
$815$	29.1065	+	18.7056i	1.01956	+	0.655230i
$816$	−13.6496	+	4.03205i	−0.477831	+	0.141150i
$817$	−14.2673	−	31.2411i	−0.499151	−	1.09299i
$818$	−7.20303	+	12.9354i	−0.251848	+	0.452275i
$819$	−0.253502	−	3.63931i	−0.00885808	−	0.127168i
$820$	−2.34997	−	3.79340i	−0.0820646	−	0.132471i
$821$	0.560253	+	1.90805i	0.0195530	+	0.0665913i	0.968692	−	0.248267i	$-0.0798611\pi$
$821$	0.560253	+	1.90805i	0.0195530	+	0.0665913i	−0.949139	+	0.314859i	$0.898043\pi$
$822$	19.2989	−	4.73679i	0.673125	−	0.165214i
$823$	11.5470	−	1.66020i	0.402502	−	0.0578711i	0.0619090	−	0.998082i	$-0.480281\pi$
$823$	11.5470	−	1.66020i	0.402502	−	0.0578711i	0.340593	+	0.940211i	$0.389372\pi$
$824$	2.11331	+	45.3729i	0.0736205	+	1.58064i
$825$	−0.681976	+	2.66165i	−0.0237434	+	0.0926668i
$826$	0.892167	−	0.656404i	0.0310425	−	0.0228392i
$827$	17.0898	+	19.7227i	0.594270	+	0.685824i	0.970610	−	0.240658i	$-0.0773631\pi$
$827$	17.0898	+	19.7227i	0.594270	+	0.685824i	−0.376340	+	0.926482i	$0.622818\pi$
$828$	4.95461	−	20.9130i	0.172184	−	0.726776i
$829$	−7.96066	−	17.4314i	−0.276485	−	0.605418i	0.719544	−	0.694447i	$-0.244351\pi$
$829$	−7.96066	−	17.4314i	−0.276485	−	0.605418i	−0.996029	+	0.0890289i	$0.971624\pi$
$830$	−26.7051	+	1.68771i	−0.926949	+	0.0585814i
$831$	4.75812	−	18.5702i	0.165057	−	0.644194i
$832$	−52.0813	−	10.1521i	−1.80559	−	0.351960i
$833$		−	14.3111i		−	0.495850i
$834$	−7.18389	+	4.17339i	−0.248758	+	0.144513i
$835$	−24.8439	−	11.3458i	−0.859758	−	0.392638i
$836$	−2.47057	−	5.65600i	−0.0854466	−	0.195617i
$837$	−20.2038	−	18.9156i	−0.698344	−	0.653819i
$838$	−27.3199	−	2.18162i	−0.943749	−	0.0753627i
$839$	5.19673	−	5.99735i	0.179411	−	0.207051i	−0.658920	−	0.752213i	$-0.728986\pi$
$839$	5.19673	−	5.99735i	0.179411	−	0.207051i	0.838331	+	0.545162i	$0.183532\pi$
$840$	2.34869	+	0.849587i	0.0810376	+	0.0293135i
$841$	23.1023			0.796630
$842$	3.59465	−	15.8894i	0.123880	−	0.547583i
$843$	−30.0790	+	9.98026i	−1.03598	+	0.343739i
$844$	−0.604888	−	4.76654i	−0.0208211	−	0.164071i
$845$	24.2805	+	82.6918i	0.835275	+	2.84469i
$846$	−1.81021	−	13.5655i	−0.0622362	−	0.466390i
$847$	0.550776	+	1.87577i	0.0189249	+	0.0644523i
$848$	−29.5006	−	5.24463i	−1.01305	−	0.180101i
$849$	19.4636	−	0.677065i	0.667988	−	0.0232368i
$850$	−7.46110	+	2.71264i	−0.255914	+	0.0930428i
$851$	−9.48633	−	10.9478i	−0.325187	−	0.375286i
$852$	−20.6021	−	43.0225i	−0.705816	−	1.47392i
$853$	0.948803	+	0.278594i	0.0324864	+	0.00953887i	0.297935	−	0.954586i	$-0.403702\pi$
$853$	0.948803	+	0.278594i	0.0324864	+	0.00953887i	−0.265449	+	0.964125i	$0.585520\pi$
$854$	1.76308	−	0.111423i	0.0603314	−	0.00381283i
$855$	26.6422	−	35.4525i	0.911143	−	1.21245i
$856$	11.7169	+	6.78128i	0.400476	+	0.231779i
$857$	7.90936	−	26.9368i	0.270179	−	0.920144i	−0.706909	−	0.707305i	$-0.749911\pi$
$857$	7.90936	−	26.9368i	0.270179	−	0.920144i	0.977087	−	0.212839i	$-0.0682710\pi$
$858$	−5.45016	+	7.69736i	−0.186065	+	0.262784i
$859$	−24.0469	+	10.9818i	−0.820469	+	0.374696i	−0.781005	−	0.624525i	$-0.785293\pi$
$859$	−24.0469	+	10.9818i	−0.820469	+	0.374696i	−0.0394646	+	0.999221i	$0.512565\pi$
$860$	−18.9224	−	30.5450i	−0.645247	−	1.04158i
$861$	0.00885790	+	0.254638i	0.000301876	+	0.00867804i
$862$	−51.3463	−	19.6373i	−1.74886	−	0.668850i
$863$	20.3820	−	44.6305i	0.693813	−	1.51924i	−0.153503	−	0.988148i	$-0.549055\pi$
$863$	20.3820	−	44.6305i	0.693813	−	1.51924i	0.847315	−	0.531090i	$-0.178217\pi$
$864$	16.1014	−	24.5915i	0.547782	−	0.836621i
$865$	20.7037	−	13.3054i	0.703946	−	0.452399i
$866$	15.1888	−	14.9392i	0.516138	−	0.507655i
$867$	19.8031	−	9.88978i	0.672550	−	0.335874i
$868$	0.519117	+	1.88282i	0.0176200	+	0.0639072i
$869$	5.67344	+	0.815718i	0.192458	+	0.0276713i
$870$	8.30934	+	14.3033i	0.281713	+	0.484928i
$871$	16.4069	−	51.7524i	0.555926	−	1.75356i
$872$	2.32404	−	2.94884i	0.0787019	−	0.0998602i
$873$	51.2536	+	11.2492i	1.73467	+	0.380727i
$874$	12.7094	+	23.7411i	0.429903	+	0.803056i
$875$	−1.10914	−	0.325673i	−0.0374958	−	0.0110098i
$876$	10.4086	+	2.85152i	0.351673	+	0.0963440i
$877$	−3.04661	+	1.95793i	−0.102877	+	0.0661147i	−0.591068	−	0.806622i	$-0.701293\pi$
$877$	−3.04661	+	1.95793i	−0.102877	+	0.0661147i	0.488191	+	0.872737i	$0.337657\pi$
$878$	−9.25433	+	24.1976i	−0.312319	+	0.816629i
$879$	−32.1491	+	10.6671i	−1.08436	+	0.359794i
$880$	−3.30908	−	5.54479i	−0.111549	−	0.186915i
$881$	−10.4739	−	9.07569i	−0.352875	−	0.305768i	0.460327	−	0.887749i	$-0.347732\pi$
$881$	−10.4739	−	9.07569i	−0.352875	−	0.305768i	−0.813202	+	0.581982i	$0.802278\pi$
$882$	19.1275	+	22.5320i	0.644055	+	0.758691i
$883$	5.08625	−	2.32281i	0.171166	−	0.0781689i	−0.327989	−	0.944681i	$-0.606371\pi$
$883$	5.08625	−	2.32281i	0.171166	−	0.0781689i	0.499155	+	0.866513i	$0.333644\pi$
$884$	−27.2474	−	0.451568i	−0.916429	−	0.0151879i
$885$	−9.19271	−	18.4073i	−0.309009	−	0.618756i
$886$	−37.9994	−	3.03443i	−1.27661	−	0.101944i
$887$	2.97072	+	1.90917i	0.0997470	+	0.0641035i	0.589563	−	0.807722i	$-0.299300\pi$
$887$	2.97072	+	1.90917i	0.0997470	+	0.0641035i	−0.489816	+	0.871826i	$0.662936\pi$
$888$	−7.10735	−	18.4934i	−0.238507	−	0.620599i
$889$	−2.52723	−	0.742062i	−0.0847606	−	0.0248880i
$890$	−11.1587	−	0.891074i	−0.374041	−	0.0298689i
$891$	−2.80834	−	4.40573i	−0.0940830	−	0.147597i
$892$	−1.32305	−	10.4257i	−0.0442990	−	0.349078i
$893$	12.9596	+	11.2296i	0.433676	+	0.375783i
$894$	22.8265	+	7.83173i	0.763433	+	0.261932i
$895$	10.6252	+	36.1863i	0.355163	+	1.20957i
$896$	−1.87510	+	0.886885i	−0.0626427	+	0.0296287i
$897$	21.0306	−	35.3704i	0.702191	−	1.18098i
$898$	−32.3722	+	11.7696i	−1.08028	+	0.392757i
$899$	−5.37347	+	11.7663i	−0.179215	+	0.392427i
$900$	8.12148	−	14.2430i	0.270716	−	0.474767i
$901$	−15.3884			−0.512661
$902$	0.399110	−	0.524041i	0.0132889	−	0.0174486i
$903$	0.0713252	+	2.05039i	0.00237355	+	0.0682326i
$904$	−7.22546	+	12.4844i	−0.240315	+	0.415224i
$905$	10.9028	−	1.56758i	0.362420	−	0.0521082i
$906$	9.21560	−	48.5161i	0.306168	−	1.61184i
$907$	−3.91261	−	1.78683i	−0.129916	−	0.0593307i	0.349396	−	0.936975i	$-0.386387\pi$
$907$	−3.91261	−	1.78683i	−0.129916	−	0.0593307i	−0.479312	+	0.877644i	$0.659114\pi$
$908$	24.9646	+	11.9048i	0.828480	+	0.395074i
$909$	−26.0581	−	1.91232i	−0.864294	−	0.0634276i
$910$	3.80446	+	2.89748i	0.126117	+	0.0960506i
$911$	32.6529	−	20.9848i	1.08184	−	0.695256i	0.126858	−	0.991921i	$-0.459511\pi$
$911$	32.6529	−	20.9848i	1.08184	−	0.695256i	0.954982	+	0.296664i	$0.0958743\pi$
$912$	5.30086	+	36.4466i	0.175529	+	1.20687i
$913$	−1.64089	−	3.59306i	−0.0543057	−	0.118913i
$914$	−3.22263	−	50.9925i	−0.106595	−	1.68668i
$915$	3.53816	−	32.6249i	0.116968	−	1.07855i
$916$	−17.8042	+	7.77696i	−0.588266	+	0.256958i
$917$	−1.58526	−	2.46670i	−0.0523497	−	0.0814578i
$918$	5.93101	−	13.8821i	0.195752	−	0.458177i
$919$	−23.7034	+	3.40803i	−0.781903	+	0.112421i	−0.521695	−	0.853132i	$-0.674700\pi$
$919$	−23.7034	+	3.40803i	−0.781903	+	0.112421i	−0.260208	+	0.965553i	$0.583791\pi$
$920$	16.3176	+	22.9662i	0.537976	+	0.757175i
$921$	37.9760	+	22.5798i	1.25135	+	0.744031i
$922$	−12.6181	−	12.8290i	−0.415555	−	0.422499i
$923$	−12.9980	−	90.4029i	−0.427834	−	2.97565i
$924$	0.00671017	+	0.368633i	0.000220748	+	0.0121271i
$925$	−4.59081	−	10.0525i	−0.150945	−	0.330523i
$926$	−8.92641	−	42.7358i	−0.293340	−	1.40439i
$927$	−38.5144	−	28.9431i	−1.26498	−	0.950618i
$928$	−13.2914	−	3.47365i	−0.436311	−	0.114028i
$929$	19.1633	+	2.75527i	0.628728	+	0.0903974i	0.449311	−	0.893376i	$-0.351670\pi$
$929$	19.1633	+	2.75527i	0.628728	+	0.0903974i	0.179417	+	0.983773i	$0.442579\pi$
$930$	36.1065	−	3.54567i	1.18398	−	0.116267i
$931$	−36.6561	−	5.27036i	−1.20136	−	0.172729i
$932$	2.73836	+	21.5784i	0.0896980	+	0.706823i
$933$	36.0818	−	6.47532i	1.18127	−	0.211993i
$934$	4.30843	−	7.73719i	0.140976	−	0.253169i
$935$	−2.17167	−	2.50624i	−0.0710213	−	0.0819629i
$936$	43.5030	−	35.7065i	1.42194	−	1.16710i
$937$	17.7635			0.580308			0.290154	−	0.956980i	$-0.406293\pi$
$937$	17.7635			0.580308			0.290154	+	0.956980i	$0.406293\pi$
$938$	−0.682319	−	2.00965i	−0.0222785	−	0.0656174i
$939$	−21.2056	+	19.7064i	−0.692017	+	0.643093i
$940$	14.9294	+	9.94791i	0.486943	+	0.324465i
$941$	23.3016	−	20.1910i	0.759611	−	0.658207i	−0.186351	−	0.982483i	$-0.559666\pi$
$941$	23.3016	−	20.1910i	0.759611	−	0.658207i	0.945962	+	0.324276i	$0.105121\pi$
$942$	12.6159	+	51.4005i	0.411050	+	1.67472i
$943$	−1.55381	+	2.41778i	−0.0505991	+	0.0787337i
$944$	16.2268	+	5.35474i	0.528137	+	0.174282i
$945$	−2.28205	+	1.34543i	−0.0742350	+	0.0437668i
$946$	3.21369	−	4.21966i	0.104486	−	0.137193i
$947$	−5.52101	+	38.3995i	−0.179409	+	1.24782i	0.678726	+	0.734391i	$0.262532\pi$
$947$	−5.52101	+	38.3995i	−0.179409	+	1.24782i	−0.858135	+	0.513424i	$0.828377\pi$
$948$	−31.3655	−	13.6398i	−1.01871	−	0.443001i
$949$	17.3833	+	11.1715i	0.564285	+	0.362644i
$950$	4.20040	+	20.1097i	0.136279	+	0.652444i
$951$	23.0990	−	55.6199i	0.749037	−	1.80360i
$952$	−0.868414	+	0.617013i	−0.0281455	+	0.0199975i
$953$	53.2426	−	7.65512i	1.72470	−	0.247974i	0.792485	−	0.609891i	$-0.208787\pi$
$953$	53.2426	−	7.65512i	1.72470	−	0.247974i	0.932210	+	0.361917i	$0.117878\pi$
$954$	24.2281	−	20.5673i	0.784413	−	0.665891i
$955$	13.7031	+	46.6683i	0.443421	+	1.51015i
$956$	−28.5121	−	25.5453i	−0.922148	−	0.826193i
$957$	−1.53395	+	1.89991i	−0.0495856	+	0.0614153i
$958$	−20.5576	+	11.0052i	−0.664187	+	0.355562i
$959$	1.25125	−	0.804130i	0.0404050	−	0.0259667i
$960$	10.3019	+	37.1286i	0.332494	+	1.19832i
$961$	−1.72222	−	1.98755i	−0.0555556	−	0.0641146i
$962$	−2.39259	−	37.8587i	−0.0771404	−	1.22061i
$963$	−13.4629	+	4.99298i	−0.433837	+	0.160897i
$964$	6.15428	+	0.989204i	0.198216	+	0.0318601i
$965$	5.66587	+	8.81627i	0.182391	+	0.283806i
$966$	−0.157212	−	1.60093i	−0.00505822	−	0.0515092i
$967$		−	9.77852i		−	0.314456i	−0.987562	−	0.157228i	$-0.949744\pi$
$967$		−	9.77852i		−	0.314456i	0.987562	−	0.157228i	$-0.0502558\pi$
$968$	−18.6684	+	23.6873i	−0.600026	+	0.761337i
$969$	5.95672	+	17.9526i	0.191357	+	0.576722i
$970$	−55.4054	+	40.7640i	−1.77896	+	1.30885i
$971$	−3.27848	−	22.8023i	−0.105211	−	0.731761i	−0.972322	−	0.233645i	$-0.924934\pi$
$971$	−3.27848	−	22.8023i	−0.105211	−	0.731761i	0.867110	−	0.498116i	$-0.165975\pi$
$972$	9.21607	+	29.7836i	0.295606	+	0.955310i
$973$	−0.407227	+	0.469965i	−0.0130551	+	0.0150664i
$974$	6.35905	−	8.34958i	0.203757	−	0.267538i
$975$	22.9961	−	21.3704i	0.736465	−	0.684399i
$976$	17.1550	+	21.1770i	0.549119	+	0.677860i
$977$	38.2238	+	17.4562i	1.22289	+	0.558475i	0.919009	−	0.394236i	$-0.128991\pi$
$977$	38.2238	+	17.4562i	1.22289	+	0.558475i	0.303879	+	0.952710i	$0.401718\pi$
$978$	13.8927	−	27.1267i	0.444238	−	0.867415i
$979$	−0.465553	−	1.58553i	−0.0148791	−	0.0506737i
$980$	−38.7384	−	0.642007i	−1.23745	−	0.0205082i
$981$	0.839282	+	3.89288i	0.0267962	+	0.124290i
$982$	27.7785	−	14.8708i	0.886448	−	0.474545i
$983$	−8.84581	+	10.2086i	−0.282138	+	0.325604i	−0.879075	−	0.476684i	$-0.841839\pi$
$983$	−8.84581	+	10.2086i	−0.282138	+	0.325604i	0.596937	+	0.802288i	$0.296384\pi$
$984$	−3.12319	+	2.38668i	−0.0995638	+	0.0760845i
$985$	40.6810	+	46.9483i	1.29620	+	1.49590i
$986$	−7.03303	−	0.561620i	−0.223977	−	0.0178856i
$987$	−0.457669	−	0.916429i	−0.0145678	−	0.0291703i
$988$	−11.1911	+	69.6246i	−0.356035	+	2.21505i
$989$	−12.5115	+	19.4683i	−0.397844	+	0.619057i
$990$	6.76889	+	1.04339i	0.215129	+	0.0331610i
$991$	−16.5238	+	56.2749i	−0.524896	+	1.78763i	0.0864380	+	0.996257i	$0.472452\pi$
$991$	−16.5238	+	56.2749i	−0.524896	+	1.78763i	−0.611334	+	0.791373i	$0.709367\pi$
$992$	−19.0400	+	23.3521i	−0.604521	+	0.741430i
$993$	15.6198	−	37.6107i	0.495678	−	1.19354i
$994$	−2.50361	−	2.54544i	−0.0794096	−	0.0807366i
$995$	−28.0525	+	32.3743i	−0.889325	+	1.02634i
$996$	3.77852	+	23.2659i	0.119727	+	0.737207i
$997$	−8.78022	+	19.2260i	−0.278072	+	0.608894i	−0.996207	−	0.0870102i	$-0.972269\pi$
$997$	−8.78022	+	19.2260i	−0.278072	+	0.608894i	0.718135	+	0.695904i	$0.244996\pi$
$998$	−21.1953	+	55.4199i	−0.670925	+	1.75429i
$999$	19.9201	+	6.69167i	0.630243	+	0.211715i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	804.2.w.a.59.16	yes	1320
3.2	odd	2	inner	804.2.w.a.59.117	yes	1320
4.3	odd	2	inner	804.2.w.a.59.4	✓	1320
12.11	even	2	inner	804.2.w.a.59.129	yes	1320
67.25	even	11	inner	804.2.w.a.695.129	yes	1320
201.92	odd	22	inner	804.2.w.a.695.4	yes	1320
268.159	odd	22	inner	804.2.w.a.695.117	yes	1320
804.695	even	22	inner	804.2.w.a.695.16	yes	1320

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
804.2.w.a.59.4	✓	1320	4.3	odd	2	inner
804.2.w.a.59.16	yes	1320	1.1	even	1	trivial
804.2.w.a.59.117	yes	1320	3.2	odd	2	inner
804.2.w.a.59.129	yes	1320	12.11	even	2	inner
804.2.w.a.695.4	yes	1320	201.92	odd	22	inner
804.2.w.a.695.16	yes	1320	804.695	even	22	inner
804.2.w.a.695.117	yes	1320	268.159	odd	22	inner
804.2.w.a.695.129	yes	1320	67.25	even	11	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:	\( N \)	\(=\)	\( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	804.w (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.32091 - 0.505179i) q^{2} +(1.72195 + 0.186745i) q^{3} +(1.48959 + 1.33459i) q^{4} +(1.50339 - 2.33932i) q^{5} +(-2.18020 - 1.11657i) q^{6} +(-0.181474 - 0.0260921i) q^{7} +(-1.29340 - 2.51537i) q^{8} +(2.93025 + 0.643134i) q^{9} +O(q^{10})\)	\(q+(-1.32091 - 0.505179i) q^{2} +(1.72195 + 0.186745i) q^{3} +(1.48959 + 1.33459i) q^{4} +(1.50339 - 2.33932i) q^{5} +(-2.18020 - 1.11657i) q^{6} +(-0.181474 - 0.0260921i) q^{7} +(-1.29340 - 2.51537i) q^{8} +(2.93025 + 0.643134i) q^{9} +(-3.16762 + 2.33055i) q^{10} +(-0.488364 - 0.313852i) q^{11} +(2.31578 + 2.57627i) q^{12} +(2.75532 + 6.03330i) q^{13} +(0.226530 + 0.126142i) q^{14} +(3.02563 - 3.74746i) q^{15} +(0.437749 + 3.97597i) q^{16} +(0.578765 + 1.97109i) q^{17} +(-3.54569 - 2.32982i) q^{18} +(5.26186 - 0.756541i) q^{19} +(5.36147 - 1.47822i) q^{20} +(-0.307618 - 0.0788189i) q^{21} +(0.486532 + 0.661281i) q^{22} +(-2.34570 - 2.70708i) q^{23} +(-1.75744 - 4.57290i) q^{24} +(-1.13518 - 2.48569i) q^{25} +(-0.591620 - 9.36136i) q^{26} +(4.92566 + 1.65466i) q^{27} +(-0.235500 - 0.281060i) q^{28} -2.42852i q^{29} +(-5.88971 + 3.42156i) q^{30} +(-4.84503 - 2.21265i) q^{31} +(1.43035 - 5.47303i) q^{32} +(-0.782330 - 0.631639i) q^{33} +(0.231260 - 2.89601i) q^{34} +(-0.333865 + 0.385301i) q^{35} +(3.50655 + 4.86868i) q^{36} +4.04414 q^{37} +(-7.33261 - 1.65886i) q^{38} +(3.61784 + 10.9036i) q^{39} +(-7.82877 - 0.755909i) q^{40} +(-0.226050 - 0.769854i) q^{41} +(0.366517 + 0.259515i) q^{42} +(-1.82019 - 6.19899i) q^{43} +(-0.308598 - 1.11928i) q^{44} +(5.90982 - 5.88793i) q^{45} +(1.73089 + 4.76080i) q^{46} +(2.11242 + 2.43786i) q^{47} +(0.0112892 + 6.92819i) q^{48} +(-6.68420 - 1.96266i) q^{49} +(0.243744 + 3.85683i) q^{50} +(0.628514 + 3.50221i) q^{51} +(-3.94769 + 12.6644i) q^{52} +(-2.11040 + 7.18736i) q^{53} +(-5.67044 - 4.67399i) q^{54} +(-1.46841 + 0.670598i) q^{55} +(0.169088 + 0.490224i) q^{56} +(9.20196 - 0.320101i) q^{57} +(-1.22684 + 3.20785i) q^{58} +(1.77460 - 3.88583i) q^{59} +(9.50826 - 1.54420i) q^{60} +(5.73180 - 3.68361i) q^{61} +(5.28204 + 5.37031i) q^{62} +(-0.514985 - 0.193169i) q^{63} +(-4.65422 + 6.50678i) q^{64} +(18.2562 + 2.62484i) q^{65} +(0.714294 + 1.22955i) q^{66} +(-6.06994 - 5.49143i) q^{67} +(-1.76847 + 3.70853i) q^{68} +(-3.53365 - 5.09952i) q^{69} +(0.635651 - 0.340285i) q^{70} +(-13.2123 - 3.87948i) q^{71} +(-2.17227 - 8.20251i) q^{72} +(2.62085 - 1.68432i) q^{73} +(-5.34193 - 2.04301i) q^{74} +(-1.49053 - 4.49223i) q^{75} +(8.84767 + 5.89548i) q^{76} +(0.0804365 + 0.0696986i) q^{77} +(0.729448 - 16.2303i) q^{78} +(-8.98129 + 4.10162i) q^{79} +(9.95921 + 4.95341i) q^{80} +(8.17276 + 3.76909i) q^{81} +(-0.0903236 + 1.13110i) q^{82} +(5.72412 + 3.67867i) q^{83} +(-0.353034 - 0.527951i) q^{84} +(5.48114 + 1.60941i) q^{85} +(-0.727300 + 9.10780i) q^{86} +(0.453516 - 4.18181i) q^{87} +(-0.157806 + 1.63436i) q^{88} +(2.15126 + 1.86408i) q^{89} +(-10.7808 + 4.79189i) q^{90} +(-0.342598 - 1.16678i) q^{91} +(0.118711 - 7.16298i) q^{92} +(-7.92971 - 4.71487i) q^{93} +(-1.55875 - 4.28734i) q^{94} +(6.14084 - 13.4466i) q^{95} +(3.48506 - 9.15720i) q^{96} +17.4912 q^{97} +(7.83771 + 5.96920i) q^{98} +(-1.22918 - 1.23375i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9}+O(q^{10}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9	\( 1320 q - 18 q^{4} - 5 q^{6} - 22 q^{9} - 26 q^{10} - 15 q^{12} - 44 q^{13} - 34 q^{16} - 13 q^{18} - 66 q^{21} + 74 q^{22} + 13 q^{24} + 80 q^{25} - 110 q^{28} - 36 q^{30} - 22 q^{33} - 54 q^{34} - 37 q^{36} - 72 q^{37} - 22 q^{40} + q^{42} - 154 q^{45} - 82 q^{46} + 11 q^{48} + 96 q^{49} - 14 q^{52} - 138 q^{54} - 6 q^{57} + 74 q^{58} + 3 q^{60} - 28 q^{61} - 6 q^{64} - 4 q^{66} - 38 q^{69} - 18 q^{70} - 145 q^{72} + 96 q^{73} + 14 q^{76} - 51 q^{78} - 38 q^{81} - 74 q^{82} - 41 q^{84} - 76 q^{85} + 6 q^{88} - 5 q^{90} + 78 q^{93} - 22 q^{94} + 184 q^{96} - 128 q^{97}+O(q^{100}) \) 1320 * q - 18 * q^4 - 5 * q^6 - 22 * q^9 - 26 * q^10 - 15 * q^12 - 44 * q^13 - 34 * q^16 - 13 * q^18 - 66 * q^21 + 74 * q^22 + 13 * q^24 + 80 * q^25 - 110 * q^28 - 36 * q^30 - 22 * q^33 - 54 * q^34 - 37 * q^36 - 72 * q^37 - 22 * q^40 + q^42 - 154 * q^45 - 82 * q^46 + 11 * q^48 + 96 * q^49 - 14 * q^52 - 138 * q^54 - 6 * q^57 + 74 * q^58 + 3 * q^60 - 28 * q^61 - 6 * q^64 - 4 * q^66 - 38 * q^69 - 18 * q^70 - 145 * q^72 + 96 * q^73 + 14 * q^76 - 51 * q^78 - 38 * q^81 - 74 * q^82 - 41 * q^84 - 76 * q^85 + 6 * q^88 - 5 * q^90 + 78 * q^93 - 22 * q^94 + 184 * q^96 - 128 * q^97

Introduction

L-functions

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