LMFDB - Embedded newform 700.2.bj.a.323.34

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [700,2,Mod(127,700)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(700, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 1, 0]))

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

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

chi := DirichletCharacter("700.127");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 700 = 2^{2} \cdot 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	700.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$5.58952814149$
Analytic rank:	$0$
Dimension:	$720$
Relative dimension:	$90$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			323.34
Character	$\chi$	$=$	700.323
Dual form			700.2.bj.a.687.34

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.456077 + 1.33865i) q^{2} +(0.146558 + 0.287635i) q^{3} +(-1.58399 - 1.22106i) q^{4} +(0.0469500 + 2.23558i) q^{5} +(-0.451886 + 0.0650059i) q^{6} +(0.707107 + 0.707107i) q^{7} +(2.35699 - 1.56351i) q^{8} +(1.70210 - 2.34274i) q^{9} +O(q^{10})$	\(q+(-0.456077 + 1.33865i) q^{2} +(0.146558 + 0.287635i) q^{3} +(-1.58399 - 1.22106i) q^{4} +(0.0469500 + 2.23558i) q^{5} +(-0.451886 + 0.0650059i) q^{6} +(0.707107 + 0.707107i) q^{7} +(2.35699 - 1.56351i) q^{8} +(1.70210 - 2.34274i) q^{9} +(-3.01407 - 0.956745i) q^{10} +(3.70854 + 5.10437i) q^{11} +(0.119074 - 0.634566i) q^{12} +(-0.622432 - 3.92988i) q^{13} +(-1.26907 + 0.624076i) q^{14} +(-0.636150 + 0.341145i) q^{15} +(1.01803 + 3.86828i) q^{16} +(4.82861 + 2.46030i) q^{17} +(2.35983 + 3.34699i) q^{18} +(-0.873378 - 2.68798i) q^{19} +(2.65540 - 3.59845i) q^{20} +(-0.0997571 + 0.307021i) q^{21} +(-8.52436 + 2.63647i) q^{22} +(-0.931263 + 5.87977i) q^{23} +(0.795158 + 0.448810i) q^{24} +(-4.99559 + 0.209921i) q^{25} +(5.54463 + 0.959107i) q^{26} +(1.87985 + 0.297739i) q^{27} +(-0.256630 - 1.98347i) q^{28} +(-0.602306 - 0.195701i) q^{29} +(-0.166542 - 1.00717i) q^{30} +(0.775335 - 0.251921i) q^{31} +(-5.64259 - 0.401442i) q^{32} +(-0.924682 + 1.81479i) q^{33} +(-5.49570 + 5.34175i) q^{34} +(-1.54759 + 1.61399i) q^{35} +(-5.55673 + 1.63251i) q^{36} +(-0.0897023 + 0.0142075i) q^{37} +(3.99660 + 0.0567757i) q^{38} +(1.03915 - 0.754987i) q^{39} +(3.60601 + 5.19583i) q^{40} +(-1.44271 - 1.04819i) q^{41} +(-0.365498 - 0.273565i) q^{42} +(-1.93355 + 1.93355i) q^{43} +(0.358450 - 12.6136i) q^{44} +(5.31729 + 3.69518i) q^{45} +(-7.44624 - 3.92827i) q^{46} +(-6.95512 + 3.54381i) q^{47} +(-0.963455 + 0.859749i) q^{48} +1.00000i q^{49} +(1.99736 - 6.78311i) q^{50} +1.74945i q^{51} +(-3.81269 + 6.98491i) q^{52} +(-6.51126 + 3.31766i) q^{53} +(-1.25593 + 2.38068i) q^{54} +(-11.2371 + 8.53037i) q^{55} +(2.77222 + 0.561076i) q^{56} +(0.645159 - 0.645159i) q^{57} +(0.536674 - 0.717024i) q^{58} +(10.7504 + 7.81060i) q^{59} +(1.42421 + 0.236407i) q^{60} +(7.45078 - 5.41331i) q^{61} +(-0.0163767 + 1.15280i) q^{62} +(2.86013 - 0.453001i) q^{63} +(3.11085 - 7.37039i) q^{64} +(8.75632 - 1.57600i) q^{65} +(-2.00765 - 2.06551i) q^{66} +(-6.67744 + 13.1052i) q^{67} +(-4.64428 - 9.79309i) q^{68} +(-1.82771 + 0.593860i) q^{69} +(-1.45475 - 2.80779i) q^{70} +(-10.7065 - 3.47874i) q^{71} +(0.348934 - 8.18309i) q^{72} +(10.0735 + 1.59548i) q^{73} +(0.0218923 - 0.126560i) q^{74} +(-0.792523 - 1.40614i) q^{75} +(-1.89876 + 5.32417i) q^{76} +(-0.986999 + 6.23167i) q^{77} +(0.536734 + 1.73540i) q^{78} +(5.38196 - 16.5640i) q^{79} +(-8.60004 + 2.45750i) q^{80} +(-2.49468 - 7.67782i) q^{81} +(2.06116 - 1.45324i) q^{82} +(4.50298 + 2.29438i) q^{83} +(0.532904 - 0.364508i) q^{84} +(-5.27348 + 10.9102i) q^{85} +(-1.70651 - 3.47020i) q^{86} +(-0.0319819 - 0.201926i) q^{87} +(16.7218 + 6.23261i) q^{88} +(-8.10497 - 11.1555i) q^{89} +(-7.37166 + 5.43272i) q^{90} +(2.33872 - 3.21897i) q^{91} +(8.65465 - 8.17635i) q^{92} +(0.186093 + 0.186093i) q^{93} +(-1.57186 - 10.9267i) q^{94} +(5.96818 - 2.07870i) q^{95} +(-0.711496 - 1.68184i) q^{96} +(-0.216176 - 0.424269i) q^{97} +(-1.33865 - 0.456077i) q^{98} +18.2705 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 720 q+O(q^{10}) $ 720 * q	$ 720 q + 16 q^{10} + 16 q^{12} + 4 q^{13} + 20 q^{17} - 28 q^{18} - 20 q^{20} - 4 q^{22} + 20 q^{25} + 4 q^{30} - 20 q^{37} - 64 q^{40} - 80 q^{42} - 140 q^{44} - 20 q^{45} - 236 q^{48} - 40 q^{50} - 16 q^{52} + 44 q^{53} - 260 q^{54} + 16 q^{57} - 136 q^{58} - 140 q^{60} - 140 q^{62} - 4 q^{65} - 80 q^{68} - 80 q^{72} - 52 q^{73} + 76 q^{78} + 20 q^{80} + 180 q^{81} + 24 q^{82} - 80 q^{85} + 160 q^{88} - 260 q^{89} + 16 q^{90} + 256 q^{92} - 112 q^{93} + 320 q^{94} - 40 q^{96} - 20 q^{97}+O(q^{100}) $ 720 * q + 16 * q^10 + 16 * q^12 + 4 * q^13 + 20 * q^17 - 28 * q^18 - 20 * q^20 - 4 * q^22 + 20 * q^25 + 4 * q^30 - 20 * q^37 - 64 * q^40 - 80 * q^42 - 140 * q^44 - 20 * q^45 - 236 * q^48 - 40 * q^50 - 16 * q^52 + 44 * q^53 - 260 * q^54 + 16 * q^57 - 136 * q^58 - 140 * q^60 - 140 * q^62 - 4 * q^65 - 80 * q^68 - 80 * q^72 - 52 * q^73 + 76 * q^78 + 20 * q^80 + 180 * q^81 + 24 * q^82 - 80 * q^85 + 160 * q^88 - 260 * q^89 + 16 * q^90 + 256 * q^92 - 112 * q^93 + 320 * q^94 - 40 * q^96 - 20 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/700\mathbb{Z}\right)^\times$.

$n$	$101$	$351$	$477$
$\chi(n)$	$1$	$-1$	$e\left(\frac{11}{20}\right)$

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 $

$2$	−0.456077	+	1.33865i	−0.322495	+	0.946571i
$2$	−0.456077	+	1.33865i	−0.322495	+	0.946571i
$3$	0.146558	+	0.287635i	0.0846151	+	0.166066i	0.929437	−	0.368982i	$-0.120293\pi$
$3$	0.146558	+	0.287635i	0.0846151	+	0.166066i	−0.844822	+	0.535048i	$0.820293\pi$
$4$	−1.58399	−	1.22106i	−0.791994	−	0.610529i
$5$	0.0469500	+	2.23558i	0.0209967	+	0.999780i
$5$	0.0469500	+	2.23558i	0.0209967	+	0.999780i
$6$	−0.451886	+	0.0650059i	−0.184482	+	0.0265386i
$7$	0.707107	+	0.707107i	0.267261	+	0.267261i
$7$	0.707107	+	0.707107i	0.267261	+	0.267261i
$8$	2.35699	−	1.56351i	0.833323	−	0.552786i
$9$	1.70210	−	2.34274i	0.567367	−	0.780914i
$10$	−3.01407	−	0.956745i	−0.953134	−	0.302549i
$11$	3.70854	+	5.10437i	1.11817	+	1.53902i	0.808802	+	0.588081i	$0.200116\pi$
$11$	3.70854	+	5.10437i	1.11817	+	1.53902i	0.309364	+	0.950944i	$0.399884\pi$
$12$	0.119074	−	0.634566i	0.0343738	−	0.183184i
$13$	−0.622432	−	3.92988i	−0.172632	−	1.08995i	−0.910045	−	0.414511i	$-0.863953\pi$
$13$	−0.622432	−	3.92988i	−0.172632	−	1.08995i	0.737413	−	0.675442i	$-0.236047\pi$
$14$	−1.26907	+	0.624076i	−0.339172	+	0.166791i
$15$	−0.636150	+	0.341145i	−0.164253	+	0.0880833i
$16$	1.01803	+	3.86828i	0.254508	+	0.967071i
$17$	4.82861	+	2.46030i	1.17111	+	0.596710i	0.927741	−	0.373224i	$-0.121748\pi$
$17$	4.82861	+	2.46030i	1.17111	+	0.596710i	0.243368	+	0.969934i	$0.421748\pi$
$18$	2.35983	+	3.34699i	0.556217	+	0.788894i
$19$	−0.873378	−	2.68798i	−0.200367	−	0.616665i	−0.999872	−	0.0160060i	$-0.994905\pi$
$19$	−0.873378	−	2.68798i	−0.200367	−	0.616665i	0.799505	−	0.600659i	$-0.205095\pi$
$20$	2.65540	−	3.59845i	0.593765	−	0.804638i
$21$	−0.0997571	+	0.307021i	−0.0217688	+	0.0669974i
$22$	−8.52436	+	2.63647i	−1.81740	+	0.562096i
$23$	−0.931263	+	5.87977i	−0.194182	+	1.22602i	0.677344	+	0.735666i	$0.263131\pi$
$23$	−0.931263	+	5.87977i	−0.194182	+	1.22602i	−0.871526	+	0.490350i	$0.836869\pi$
$24$	0.795158	+	0.448810i	0.162311	+	0.0916131i
$25$	−4.99559	+	0.209921i	−0.999118	+	0.0419841i
$26$	5.54463	+	0.959107i	1.08739	+	0.188096i
$27$	1.87985	+	0.297739i	0.361777	+	0.0572999i
$28$	−0.256630	−	1.98347i	−0.0484984	−	0.374840i
$29$	−0.602306	−	0.195701i	−0.111845	−	0.0363408i	0.252560	−	0.967581i	$-0.418728\pi$
$29$	−0.602306	−	0.195701i	−0.111845	−	0.0363408i	−0.364405	+	0.931241i	$0.618728\pi$
$30$	−0.166542	−	1.00717i	−0.0304062	−	0.183884i
$31$	0.775335	−	0.251921i	0.139254	−	0.0452464i	−0.238561	−	0.971128i	$-0.576676\pi$
$31$	0.775335	−	0.251921i	0.139254	−	0.0452464i	0.377815	+	0.925881i	$0.376676\pi$
$32$	−5.64259	−	0.401442i	−0.997479	−	0.0709655i
$33$	−0.924682	+	1.81479i	−0.160967	+	0.315915i
$34$	−5.49570	+	5.34175i	−0.942505	+	0.916102i
$35$	−1.54759	+	1.61399i	−0.261591	+	0.272814i
$36$	−5.55673	+	1.63251i	−0.926122	+	0.272085i
$37$	−0.0897023	+	0.0142075i	−0.0147470	+	0.00233569i	−0.163804	−	0.986493i	$-0.552376\pi$
$37$	−0.0897023	+	0.0142075i	−0.0147470	+	0.00233569i	0.149057	+	0.988829i	$0.452376\pi$
$38$	3.99660	+	0.0567757i	0.648335	+	0.00921024i
$39$	1.03915	−	0.754987i	0.166397	−	0.120895i
$40$	3.60601	+	5.19583i	0.570161	+	0.821533i
$41$	−1.44271	−	1.04819i	−0.225314	−	0.163700i	0.469401	−	0.882985i	$-0.344470\pi$
$41$	−1.44271	−	1.04819i	−0.225314	−	0.163700i	−0.694715	+	0.719285i	$0.744470\pi$
$42$	−0.365498	−	0.273565i	−0.0563975	−	0.0422121i
$43$	−1.93355	+	1.93355i	−0.294864	+	0.294864i	−0.838998	−	0.544134i	$-0.816858\pi$
$43$	−1.93355	+	1.93355i	−0.294864	+	0.294864i	0.544134	+	0.838998i	$0.316858\pi$
$44$	0.358450	−	12.6136i	0.0540383	−	1.90157i
$45$	5.31729	+	3.69518i	0.792654	+	0.550845i
$46$	−7.44624	−	3.92827i	−1.09789	−	0.579191i
$47$	−6.95512	+	3.54381i	−1.01451	+	0.516918i	−0.880492	−	0.474061i	$-0.842788\pi$
$47$	−6.95512	+	3.54381i	−1.01451	+	0.516918i	−0.134017	+	0.990979i	$0.542788\pi$
$48$	−0.963455	+	0.859749i	−0.139063	+	0.124094i
$49$			1.00000i			0.142857i
$50$	1.99736	−	6.78311i	0.282470	−	0.959276i
$51$			1.74945i			0.244973i
$52$	−3.81269	+	6.98491i	−0.528725	+	0.968632i
$53$	−6.51126	+	3.31766i	−0.894391	+	0.455715i	−0.839864	−	0.542797i	$-0.817365\pi$
$53$	−6.51126	+	3.31766i	−0.894391	+	0.455715i	−0.0545273	+	0.998512i	$0.517365\pi$
$54$	−1.25593	+	2.38068i	−0.170910	+	0.323969i
$55$	−11.2371	+	8.53037i	−1.51521	+	1.15023i
$56$	2.77222	+	0.561076i	0.370453	+	0.0749769i
$57$	0.645159	−	0.645159i	0.0854533	−	0.0854533i
$58$	0.536674	−	0.717024i	0.0704687	−	0.0941498i
$59$	10.7504	+	7.81060i	1.39958	+	1.01685i	0.994736	+	0.102467i	$0.0326737\pi$
$59$	10.7504	+	7.81060i	1.39958	+	1.01685i	0.404843	+	0.914386i	$0.367326\pi$
$60$	1.42421	+	0.236407i	0.183865	+	0.0305200i
$61$	7.45078	−	5.41331i	0.953974	−	0.693103i	0.00223071	−	0.999998i	$-0.499290\pi$
$61$	7.45078	−	5.41331i	0.953974	−	0.693103i	0.951743	+	0.306895i	$0.0992899\pi$
$62$	−0.0163767	+	1.15280i	−0.00207984	+	0.146406i
$63$	2.86013	−	0.453001i	0.360343	−	0.0570727i
$64$	3.11085	−	7.37039i	0.388856	−	0.921299i
$65$	8.75632	−	1.57600i	1.08609	−	0.195479i
$66$	−2.00765	−	2.06551i	−0.247125	−	0.254247i
$67$	−6.67744	+	13.1052i	−0.815780	+	1.60106i	−0.0166788	+	0.999861i	$0.505309\pi$
$67$	−6.67744	+	13.1052i	−0.815780	+	1.60106i	−0.799101	+	0.601197i	$0.794691\pi$
$68$	−4.64428	−	9.79309i	−0.563202	−	1.18759i
$69$	−1.82771	+	0.593860i	−0.220031	+	0.0714923i
$70$	−1.45475	−	2.80779i	−0.173876	−	0.335595i
$71$	−10.7065	−	3.47874i	−1.27062	−	0.412850i	−0.405354	−	0.914160i	$-0.632852\pi$
$71$	−10.7065	−	3.47874i	−1.27062	−	0.412850i	−0.865268	+	0.501310i	$0.832852\pi$
$72$	0.348934	−	8.18309i	0.0411223	−	0.964386i
$73$	10.0735	+	1.59548i	1.17901	+	0.186737i	0.715021	−	0.699103i	$-0.246417\pi$
$73$	10.0735	+	1.59548i	1.17901	+	0.186737i	0.463991	+	0.885840i	$0.346417\pi$
$74$	0.0218923	−	0.126560i	0.00254493	−	0.0147123i
$75$	−0.792523	−	1.40614i	−0.0915126	−	0.162368i
$76$	−1.89876	+	5.32417i	−0.217803	+	0.610725i
$77$	−0.986999	+	6.23167i	−0.112479	+	0.710164i
$78$	0.536734	+	1.73540i	0.0607731	+	0.196495i
$79$	5.38196	−	16.5640i	0.605518	−	1.86359i	0.112324	−	0.993672i	$-0.464170\pi$
$79$	5.38196	−	16.5640i	0.605518	−	1.86359i	0.493193	−	0.869920i	$-0.335830\pi$
$80$	−8.60004	+	2.45750i	−0.961514	+	0.274757i
$81$	−2.49468	−	7.67782i	−0.277186	−	0.853091i
$82$	2.06116	−	1.45324i	0.227617	−	0.160483i
$83$	4.50298	+	2.29438i	0.494266	+	0.251841i	0.683311	−	0.730127i	$-0.260539\pi$
$83$	4.50298	+	2.29438i	0.494266	+	0.251841i	−0.189045	+	0.981968i	$0.560539\pi$
$84$	0.532904	−	0.364508i	0.0581446	−	0.0397711i
$85$	−5.27348	+	10.9102i	−0.571989	+	1.18338i
$86$	−1.70651	−	3.47020i	−0.184017	−	0.374202i
$87$	−0.0319819	−	0.201926i	−0.00342882	−	0.0216487i
$88$	16.7218	+	6.23261i	1.78255	+	0.664399i
$89$	−8.10497	−	11.1555i	−0.859125	−	1.18248i	−0.981777	−	0.190034i	$-0.939140\pi$
$89$	−8.10497	−	11.1555i	−0.859125	−	1.18248i	0.122652	−	0.992450i	$-0.460860\pi$
$90$	−7.37166	+	5.43272i	−0.777041	+	0.572659i
$91$	2.33872	−	3.21897i	0.245164	−	0.337440i
$92$	8.65465	−	8.17635i	0.902309	−	0.852443i
$93$	0.186093	+	0.186093i	0.0192969	+	0.0192969i
$94$	−1.57186	−	10.9267i	−0.162125	−	1.12701i
$95$	5.96818	−	2.07870i	0.612322	−	0.213270i
$96$	−0.711496	−	1.68184i	−0.0726167	−	0.171652i
$97$	−0.216176	−	0.424269i	−0.0219493	−	0.0430780i	0.879771	−	0.475397i	$-0.157696\pi$
$97$	−0.216176	−	0.424269i	−0.0219493	−	0.0430780i	−0.901721	+	0.432319i	$0.857696\pi$
$98$	−1.33865	−	0.456077i	−0.135224	−	0.0460707i
$99$	18.2705			1.83626
$100$	8.16928	+	5.76740i	0.816928	+	0.576740i
$101$	0.865557			0.0861261			0.0430631	−	0.999072i	$-0.486288\pi$
$101$	0.865557			0.0861261			0.0430631	+	0.999072i	$0.486288\pi$
$102$	−2.34191	−	0.797886i	−0.231884	−	0.0790025i
$103$	−0.114733	−	0.225177i	−0.0113050	−	0.0221874i	0.885285	−	0.465049i	$-0.153963\pi$
$103$	−0.114733	−	0.225177i	−0.0113050	−	0.0221874i	−0.896590	+	0.442862i	$0.853963\pi$
$104$	−7.61149	−	8.28953i	−0.746368	−	0.812855i
$105$	−0.691052	−	0.208600i	−0.0674398	−	0.0203573i
$106$	−1.47155	−	10.2294i	−0.142930	−	0.993571i
$107$	5.83313	+	5.83313i	0.563910	+	0.563910i	0.930416	−	0.366506i	$-0.119446\pi$
$107$	5.83313	+	5.83313i	0.563910	+	0.563910i	−0.366506	+	0.930416i	$0.619446\pi$
$108$	−2.61410	−	2.76702i	−0.251542	−	0.266257i
$109$	−2.86171	+	3.93881i	−0.274103	+	0.377270i	−0.923769	−	0.382949i	$-0.874908\pi$
$109$	−2.86171	+	3.93881i	−0.274103	+	0.377270i	0.649667	+	0.760219i	$0.274908\pi$
$110$	−6.29424	−	18.9331i	−0.600132	−	1.80520i
$111$	−0.0172331	−	0.0237194i	−0.00163570	−	0.00225134i
$112$	−2.01543	+	3.45515i	−0.190440	+	0.326481i
$113$	−2.20801	−	13.9408i	−0.207712	−	1.31144i	−0.842475	−	0.538735i	$-0.818902\pi$
$113$	−2.20801	−	13.9408i	−0.207712	−	1.31144i	0.634763	−	0.772707i	$-0.281098\pi$
$114$	0.569402	+	1.15789i	0.0533294	+	0.108446i
$115$	−13.1884	−	1.80585i	−1.22982	−	0.168397i
$116$	0.715082	+	1.04544i	0.0663937	+	0.0970665i
$117$	−10.2661	−	5.23086i	−0.949104	−	0.483593i
$118$	−15.3587	+	10.8288i	−1.41388	+	0.996871i
$119$	1.67465	+	5.15403i	0.153515	+	0.472470i
$120$	−0.966017	+	1.79871i	−0.0881849	+	0.164199i
$121$	−8.90210	+	27.3979i	−0.809282	+	2.49071i
$122$	3.84841	+	12.4429i	0.348419	+	1.12653i
$123$	0.0900568	−	0.568596i	0.00812015	−	0.0512686i
$124$	−1.53573	−	0.547688i	−0.137913	−	0.0491839i
$125$	−0.703836	−	11.1582i	−0.0629530	−	0.998016i
$126$	−0.698031	+	4.03533i	−0.0621855	+	0.359496i
$127$	1.11933	+	0.177285i	0.0993248	+	0.0157315i	0.205899	−	0.978573i	$-0.433988\pi$
$127$	1.11933	+	0.177285i	0.0993248	+	0.0157315i	−0.106574	+	0.994305i	$0.533988\pi$
$128$	8.44761	+	7.52581i	0.746670	+	0.665194i
$129$	−0.839534	−	0.272781i	−0.0739169	−	0.0240171i
$130$	−1.88384	+	12.4405i	−0.165223	+	1.09110i
$131$	10.3607	−	3.36639i	0.905217	−	0.294123i	0.180828	−	0.983515i	$-0.442122\pi$
$131$	10.3607	−	3.36639i	0.905217	−	0.294123i	0.724389	+	0.689392i	$0.242122\pi$
$132$	3.68065	−	1.74552i	0.320360	−	0.151928i
$133$	1.28312	−	2.51826i	0.111260	−	0.218361i
$134$	−14.4979	−	14.9158i	−1.25243	−	1.28853i
$135$	−0.577359	+	4.21653i	−0.0496911	+	0.362901i
$136$	15.2277	−	1.75068i	1.30577	−	0.150120i
$137$	−3.72997	+	0.590770i	−0.318673	+	0.0504729i	−0.313722	−	0.949515i	$-0.601576\pi$
$137$	−3.72997	+	0.590770i	−0.318673	+	0.0504729i	−0.00495116	+	0.999988i	$0.501576\pi$
$138$	0.0386051	−	2.71752i	0.00328628	−	0.231331i
$139$	2.36420	−	1.71769i	0.200529	−	0.145693i	−0.482989	−	0.875626i	$-0.660449\pi$
$139$	2.36420	−	1.71769i	0.200529	−	0.145693i	0.683518	+	0.729933i	$0.260449\pi$
$140$	4.42214	−	0.666839i	0.373739	−	0.0563581i
$141$	−2.03865	−	1.48117i	−0.171685	−	0.124737i
$142$	9.53979	−	12.7457i	0.800561	−	1.06959i
$143$	17.7512	−	17.7512i	1.48443	−	1.48443i
$144$	10.7952	+	4.19922i	0.899598	+	0.349935i
$145$	0.409226	−	1.35569i	0.0339844	−	0.112584i
$146$	−6.73008	+	12.7572i	−0.556986	+	1.05580i
$147$	−0.287635	+	0.146558i	−0.0237238	+	0.0120879i
$148$	0.159435	+	0.0870273i	0.0131055	+	0.00715360i
$149$			9.57631i			0.784522i	0.919854	+	0.392261i	$0.128307\pi$
$149$			9.57631i			0.784522i	−0.919854	+	0.392261i	$0.871693\pi$
$150$	2.24379	−	0.419603i	0.183205	−	0.0342605i
$151$		−	6.79551i		−	0.553011i	−0.961012	−	0.276505i	$-0.910824\pi$
$151$		−	6.79551i		−	0.553011i	0.961012	−	0.276505i	$-0.0891764\pi$
$152$	−6.26124	−	4.97002i	−0.507854	−	0.403122i
$153$	13.9826	−	7.12450i	1.13043	−	0.575982i
$154$	−7.89189	−	4.16337i	−0.635947	−	0.335494i
$155$	0.599591	+	1.72149i	0.0481603	+	0.138273i
$156$	−2.56789	−	0.0729735i	−0.205595	−	0.00584256i
$157$	15.1375	−	15.1375i	1.20810	−	1.20810i	0.236462	−	0.971641i	$-0.424012\pi$
$157$	15.1375	−	15.1375i	1.20810	−	1.20810i	0.971641	−	0.236462i	$-0.0759878\pi$
$158$	19.7188	+	14.7590i	1.56875	+	1.17416i
$159$	−1.90855	−	1.38664i	−0.151358	−	0.109968i
$160$	0.632533	−	12.6333i	0.0500061	−	0.998749i
$161$	−4.81613	+	3.49912i	−0.379564	+	0.275769i
$162$	11.4157	+	0.162172i	0.896903	+	0.0127414i
$163$	−5.70710	+	0.903916i	−0.447015	+	0.0708002i	−0.375884	−	0.926667i	$-0.622661\pi$
$163$	−5.70710	+	0.903916i	−0.447015	+	0.0708002i	−0.0711310	+	0.997467i	$0.522661\pi$
$164$	1.00534	+	3.42196i	0.0785035	+	0.267210i
$165$	−4.10052	−	1.98199i	−0.319225	−	0.154298i
$166$	−5.12508	+	4.98151i	−0.397784	+	0.386640i
$167$	2.40964	−	4.72918i	0.186463	−	0.365955i	−0.778784	−	0.627292i	$-0.784163\pi$
$167$	2.40964	−	4.72918i	0.186463	−	0.365955i	0.965248	+	0.261337i	$0.0841633\pi$
$168$	0.244904	+	0.879618i	0.0188948	+	0.0678640i
$169$	−2.69280	+	0.874945i	−0.207139	+	0.0673035i
$170$	−12.1999	−	12.0353i	−0.935690	−	0.923063i
$171$	−7.78382	−	2.52912i	−0.595244	−	0.193406i
$172$	5.42370	−	0.701742i	0.413553	−	0.0535073i
$173$	18.7831	+	2.97495i	1.42805	+	0.226181i	0.822111	−	0.569328i	$-0.192796\pi$
$173$	18.7831	+	2.97495i	1.42805	+	0.226181i	0.605942	+	0.795509i	$0.292796\pi$
$174$	0.284895	+	0.0492811i	0.0215978	+	0.00373599i
$175$	−3.68085	−	3.38398i	−0.278246	−	0.255805i
$176$	−15.9697	+	19.5421i	−1.20376	+	1.47304i
$177$	−0.671058	+	4.23689i	−0.0504398	+	0.318464i
$178$	18.6299	−	5.76196i	1.39637	−	0.431878i
$179$	5.36990	−	16.5268i	0.401365	−	1.23527i	−0.522527	−	0.852623i	$-0.675011\pi$
$179$	5.36990	−	16.5268i	0.401365	−	1.23527i	0.923892	−	0.382652i	$-0.124989\pi$
$180$	−3.91048	−	12.3458i	−0.291470	−	0.920205i
$181$	1.53627	+	4.72815i	0.114190	+	0.351441i	0.991777	−	0.127976i	$-0.0408482\pi$
$181$	1.53627	+	4.72815i	0.114190	+	0.351441i	−0.877587	+	0.479417i	$0.840848\pi$
$182$	3.24245	+	4.59883i	0.240346	+	0.340888i
$183$	2.64903	+	1.34975i	0.195822	+	0.0997761i
$184$	6.99811	+	15.3146i	0.515908	+	1.12901i
$185$	−0.0359733	−	0.199869i	−0.00264481	−	0.0146947i
$186$	−0.333986	+	0.164241i	−0.0244891	+	0.0120427i
$187$	5.34881	+	33.7711i	0.391144	+	2.46959i
$188$	15.3440	+	2.87926i	1.11908	+	0.209991i
$189$	1.11872	+	1.53979i	0.0813750	+	0.112003i
$190$	0.0607142	+	8.93737i	0.00440467	+	0.648385i
$191$	9.86087	−	13.5723i	0.713508	−	0.982059i	−0.286207	−	0.958168i	$-0.592394\pi$
$191$	9.86087	−	13.5723i	0.713508	−	0.982059i	0.999715	−	0.0238914i	$-0.00760559\pi$
$192$	2.57590	−	0.185396i	0.185900	−	0.0133798i
$193$	−3.66616	−	3.66616i	−0.263896	−	0.263896i	0.562739	−	0.826635i	$-0.309748\pi$
$193$	−3.66616	−	3.66616i	−0.263896	−	0.263896i	−0.826635	+	0.562739i	$0.809748\pi$
$194$	0.666542	−	0.0958853i	0.0478550	−	0.00688416i
$195$	1.73662	+	2.28765i	0.124362	+	0.163822i
$196$	1.22106	−	1.58399i	0.0872185	−	0.113142i
$197$	0.485962	+	0.953755i	0.0346234	+	0.0679522i	0.907670	−	0.419684i	$-0.137859\pi$
$197$	0.485962	+	0.953755i	0.0346234	+	0.0679522i	−0.873047	+	0.487636i	$0.837859\pi$
$198$	−8.33276	+	24.4579i	−0.592184	+	1.73815i
$199$	−9.77497			−0.692929			−0.346465	−	0.938063i	$-0.612618\pi$
$199$	−9.77497			−0.692929			−0.346465	+	0.938063i	$0.612618\pi$
$200$	−11.4464	+	8.30546i	−0.809380	+	0.587285i
$201$	−4.74816			−0.334909
$202$	−0.394761	+	1.15868i	−0.0277753	+	0.0815245i
$203$	−0.287513	−	0.564276i	−0.0201794	−	0.0396044i
$204$	2.13619	−	2.77111i	0.149563	−	0.194017i
$205$	2.27558	−	3.27451i	0.158933	−	0.228701i
$206$	0.353761	−	0.0508903i	0.0246477	−	0.00354569i
$207$	12.1897	+	12.1897i	0.847240	+	0.847240i
$208$	14.5682	−	6.40849i	1.01013	−	0.444349i
$209$	10.4815	−	14.4265i	0.725019	−	0.997903i
$210$	0.594416	−	0.829941i	0.0410186	−	0.0572714i
$211$	5.88997	+	8.10685i	0.405482	+	0.558099i	0.962109	−	0.272664i	$-0.0879047\pi$
$211$	5.88997	+	8.10685i	0.405482	+	0.558099i	−0.556627	+	0.830763i	$0.687905\pi$
$212$	14.3648	+	2.69551i	0.986579	+	0.185128i
$213$	−0.568504	−	3.58939i	−0.0389532	−	0.245941i
$214$	−10.4689	+	5.14818i	−0.715639	+	0.351923i
$215$	−4.41338	−	4.23182i	−0.300990	−	0.288608i
$216$	4.89632	−	2.23740i	0.333152	−	0.152236i
$217$	0.726380	+	0.370109i	0.0493099	+	0.0251246i
$218$	−3.96754	−	5.62725i	−0.268716	−	0.381125i
$219$	1.01743	+	3.13132i	0.0687514	+	0.211595i
$220$	28.2155	+	0.209133i	1.90229	+	0.0140997i
$221$	6.66320	−	20.5072i	0.448215	−	1.37946i
$222$	0.0396116	−	0.0122513i	0.00265856	−	0.000822255i
$223$	0.859560	−	5.42705i	0.0575604	−	0.363422i	−0.942049	−	0.335475i	$-0.891103\pi$
$223$	0.859560	−	5.42705i	0.0575604	−	0.363422i	0.999609	−	0.0279468i	$-0.00889689\pi$
$224$	−3.70605	−	4.27378i	−0.247621	−	0.285554i
$225$	−8.01121	+	12.0607i	−0.534081	+	0.804045i
$226$	19.6689	+	3.40233i	1.30836	+	0.226319i
$227$	10.5526	+	1.67136i	0.700398	+	0.110932i	0.496470	−	0.868054i	$-0.334629\pi$
$227$	10.5526	+	1.67136i	0.700398	+	0.110932i	0.203928	+	0.978986i	$0.434629\pi$
$228$	−1.80970	+	0.234147i	−0.119850	+	0.0155067i
$229$	11.0376	+	3.58634i	0.729386	+	0.236992i	0.650088	−	0.759859i	$-0.274732\pi$
$229$	11.0376	+	3.58634i	0.729386	+	0.236992i	0.0792980	+	0.996851i	$0.474732\pi$
$230$	8.43233	−	16.8311i	0.556011	−	1.10981i
$231$	−1.93710	+	0.629402i	−0.127452	+	0.0414116i
$232$	−1.72561	+	0.480447i	−0.113292	+	0.0315429i
$233$	−4.80534	+	9.43102i	−0.314809	+	0.617847i	−0.993143	−	0.116907i	$-0.962702\pi$
$233$	−4.80534	+	9.43102i	−0.314809	+	0.617847i	0.678334	+	0.734753i	$0.262702\pi$
$234$	11.6845	−	11.3571i	0.763837	−	0.742438i
$235$	−8.24900	−	15.3823i	−0.538105	−	1.00343i
$236$	−7.49125	−	25.4987i	−0.487639	−	1.65983i
$237$	5.55315	−	0.879533i	0.360716	−	0.0571318i
$238$	−7.66323	−	0.108864i	−0.496734	−	0.00705660i
$239$	−15.0466	+	10.9320i	−0.973283	+	0.707131i	−0.956197	−	0.292723i	$-0.905439\pi$
$239$	−15.0466	+	10.9320i	−0.973283	+	0.707131i	−0.0170855	+	0.999854i	$0.505439\pi$
$240$	−1.96727	−	2.11351i	−0.126987	−	0.136427i
$241$	−0.621336	−	0.451427i	−0.0400238	−	0.0290790i	0.567593	−	0.823309i	$-0.307875\pi$
$241$	−0.621336	−	0.451427i	−0.0400238	−	0.0290790i	−0.607617	+	0.794230i	$0.707875\pi$
$242$	−32.6162	−	24.4124i	−2.09665	−	1.56929i
$243$	5.88027	−	5.88027i	0.377220	−	0.377220i
$244$	−18.4119	−	0.523224i	−1.17870	−	0.0334960i
$245$	−2.23558	+	0.0469500i	−0.142826	+	0.00299953i
$246$	0.720080	+	0.379878i	0.0459107	+	0.0242202i
$247$	−10.0198	+	5.10536i	−0.637546	+	0.324846i
$248$	1.43358	−	1.80602i	0.0910322	−	0.114683i
$249$			1.63147i			0.103390i
$250$	15.2579	+	4.14679i	0.964996	+	0.262266i
$251$		−	23.0770i		−	1.45661i	−0.685254	−	0.728304i	$-0.740309\pi$
$251$		−	23.0770i		−	1.45661i	0.685254	−	0.728304i	$-0.259691\pi$
$252$	−5.08356	−	2.77484i	−0.320234	−	0.174799i
$253$	−33.4661	+	17.0518i	−2.10400	+	1.07204i
$254$	−0.747826	+	1.41754i	−0.0469228	+	0.0889447i
$255$	−3.91104	+	0.0821369i	−0.244919	+	0.00514361i
$256$	−13.9272	+	7.87608i	−0.870451	+	0.492255i
$257$	−11.4492	+	11.4492i	−0.714179	+	0.714179i	−0.967407	−	0.253228i	$-0.918508\pi$
$257$	−11.4492	+	11.4492i	−0.714179	+	0.714179i	0.253228	+	0.967407i	$0.418508\pi$
$258$	0.748052	−	0.999437i	0.0465717	−	0.0622222i
$259$	−0.0734753	−	0.0533829i	−0.00456553	−	0.00331705i
$260$	−15.7943	−	8.19561i	−0.979520	−	0.508270i
$261$	−1.48366	+	1.07794i	−0.0918363	+	0.0667230i
$262$	−0.218839	+	15.4047i	−0.0135199	+	0.951705i
$263$	−21.3508	+	3.38163i	−1.31654	+	0.208520i	−0.774898	−	0.632086i	$-0.782199\pi$
$263$	−21.3508	+	3.38163i	−1.31654	+	0.208520i	−0.541646	+	0.840606i	$0.682199\pi$
$264$	0.657980	+	5.72321i	0.0404959	+	0.352239i
$265$	−7.72257	−	14.4007i	−0.474394	−	0.884625i
$266$	2.78588	+	2.86617i	0.170813	+	0.175736i
$267$	2.02088	−	3.96621i	0.123676	−	0.242728i
$268$	26.5792	−	12.6050i	1.62358	−	0.769970i
$269$	−8.57015	+	2.78461i	−0.522531	+	0.169781i	−0.558394	−	0.829576i	$-0.688582\pi$
$269$	−8.57015	+	2.78461i	−0.522531	+	0.169781i	0.0358626	+	0.999357i	$0.488582\pi$
$270$	−5.38115	−	2.69594i	−0.327486	−	0.164070i
$271$	−15.0508	−	4.89030i	−0.914272	−	0.297065i	−0.186157	−	0.982520i	$-0.559603\pi$
$271$	−15.0508	−	4.89030i	−0.914272	−	0.297065i	−0.728115	+	0.685455i	$0.759603\pi$
$272$	−4.60145	+	21.1831i	−0.279004	+	1.28441i
$273$	1.26865	+	0.200934i	0.0767820	+	0.0121611i
$274$	0.910319	−	5.26258i	0.0549944	−	0.317924i
$275$	−19.5979	−	24.7208i	−1.18180	−	1.49072i
$276$	3.62021	+	1.29108i	0.217911	+	0.0777137i
$277$	3.72177	−	23.4983i	0.223620	−	1.41188i	−0.578971	−	0.815348i	$-0.696545\pi$
$277$	3.72177	−	23.4983i	0.223620	−	1.41188i	0.802590	−	0.596530i	$-0.203455\pi$
$278$	1.22114	+	3.94825i	0.0732390	+	0.236800i
$279$	0.729511	−	2.24520i	0.0436747	−	0.134417i
$280$	−1.12417	+	6.22384i	−0.0671821	+	0.371946i
$281$	−2.99044	−	9.20364i	−0.178395	−	0.549043i	0.821377	−	0.570385i	$-0.193206\pi$
$281$	−2.99044	−	9.20364i	−0.178395	−	0.549043i	−0.999772	+	0.0213420i	$0.993206\pi$
$282$	2.91255	−	2.05352i	0.173440	−	0.122285i
$283$	−21.1950	−	10.7994i	−1.25991	−	0.641956i	−0.308893	−	0.951097i	$-0.599958\pi$
$283$	−21.1950	−	10.7994i	−1.25991	−	0.641956i	−0.951016	+	0.309141i	$0.899958\pi$
$284$	12.7111	+	18.5835i	0.754268	+	1.10273i
$285$	1.47259	+	1.41201i	0.0872287	+	0.0836403i
$286$	15.6668	+	31.8587i	0.926399	+	1.88384i
$287$	−0.278968	−	1.76134i	−0.0164670	−	0.103968i
$288$	−10.5447	+	12.5358i	−0.621354	+	0.738681i
$289$	7.27003	+	10.0063i	0.427649	+	0.588608i
$290$	1.62816	+	1.16611i	0.0956087	+	0.0684763i
$291$	0.0903527	−	0.124360i	0.00529657	−	0.00729010i
$292$	−14.0081	−	14.8275i	−0.819762	−	0.867716i
$293$	−11.4630	−	11.4630i	−0.669675	−	0.669675i	0.287966	−	0.957641i	$-0.407021\pi$
$293$	−11.4630	−	11.4630i	−0.669675	−	0.669675i	−0.957641	+	0.287966i	$0.907021\pi$
$294$	−0.0650059	−	0.451886i	−0.00379122	−	0.0263545i
$295$	−16.9565	+	24.4000i	−0.987243	+	1.42062i
$296$	−0.189214	+	0.173738i	−0.0109979	+	0.0100983i
$297$	5.45173	+	10.6996i	0.316341	+	0.620855i
$298$	−12.8194	−	4.36753i	−0.742605	−	0.253004i
$299$	23.6864			1.36982
$300$	−0.461638	+	3.19503i	−0.0266527	+	0.184465i
$301$	−2.73445			−0.157611
$302$	9.09683	+	3.09928i	0.523464	+	0.178343i
$303$	0.126854	+	0.248965i	0.00728757	+	0.0143027i
$304$	9.50874	−	6.11492i	0.545364	−	0.350715i
$305$	12.4517	+	16.4026i	0.712980	+	0.939211i
$306$	3.16009	+	21.9672i	0.180650	+	1.25578i
$307$	−1.21181	−	1.21181i	−0.0691618	−	0.0691618i	0.671680	−	0.740842i	$-0.265573\pi$
$307$	−1.21181	−	1.21181i	−0.0691618	−	0.0691618i	−0.740842	+	0.671680i	$0.765573\pi$
$308$	9.17262	−	8.66570i	0.522659	−	0.493774i
$309$	0.0479539	−	0.0660028i	0.00272800	−	0.00375477i
$310$	−2.57794	+	0.0175127i	−0.146417	+	0.000994654i
$311$	−9.54452	−	13.1369i	−0.541220	−	0.744925i	0.447568	−	0.894250i	$-0.352290\pi$
$311$	−9.54452	−	13.1369i	−0.541220	−	0.744925i	−0.988788	+	0.149324i	$0.952290\pi$
$312$	1.26884	−	3.40423i	0.0718339	−	0.192726i
$313$	5.28687	+	33.3800i	0.298832	+	1.88675i	0.441946	+	0.897042i	$0.354288\pi$
$313$	5.28687	+	33.3800i	0.298832	+	1.88675i	−0.143114	+	0.989706i	$0.545712\pi$
$314$	13.3600	+	27.1677i	0.753948	+	1.53316i
$315$	1.14700	+	6.37278i	0.0646262	+	0.359065i
$316$	−28.7505	+	19.6654i	−1.61734	+	1.10627i
$317$	3.36996	+	1.71708i	0.189276	+	0.0964408i	0.546060	−	0.837746i	$-0.316127\pi$
$317$	3.36996	+	1.71708i	0.189276	+	0.0964408i	−0.356785	+	0.934187i	$0.616127\pi$
$318$	2.72668	−	1.92247i	0.152905	−	0.107807i
$319$	−1.23474	−	3.80015i	−0.0691324	−	0.212768i
$320$	16.6231	+	6.60849i	0.929260	+	0.369426i
$321$	−0.822926	+	2.53270i	−0.0459312	+	0.141362i
$322$	−2.48759	−	8.04299i	−0.138628	−	0.448218i
$323$	2.39604	−	15.1280i	0.133319	−	0.841743i
$324$	−5.42353	+	15.2077i	−0.301307	+	0.844873i
$325$	3.93438	+	19.5014i	0.218240	+	1.08174i
$326$	1.39285	−	8.05209i	0.0771427	−	0.445964i
$327$	−1.55235	−	0.245868i	−0.0858450	−	0.0135965i
$328$	−5.03933	−	0.214882i	−0.278251	−	0.0118649i
$329$	−7.42387	−	2.41216i	−0.409291	−	0.132987i
$330$	4.52335	−	4.58523i	0.249002	−	0.252409i
$331$	−0.915296	+	0.297398i	−0.0503092	+	0.0163465i	−0.334063	−	0.942551i	$-0.608420\pi$
$331$	−0.915296	+	0.297398i	−0.0503092	+	0.0163465i	0.283754	+	0.958897i	$0.408420\pi$
$332$	−4.33108	−	9.13267i	−0.237699	−	0.501220i
$333$	−0.119398	+	0.234332i	−0.00654297	+	0.0128413i
$334$	5.23175	+	5.38254i	0.286269	+	0.294520i
$335$	−29.6112	−	14.3126i	−1.61783	−	0.781983i
$336$	−1.28920	−	0.0733315i	−0.0703316	−	0.00400056i
$337$	18.4365	−	2.92006i	1.00430	−	0.159066i	0.367443	−	0.930046i	$-0.380233\pi$
$337$	18.4365	−	2.92006i	1.00430	−	0.159066i	0.636859	+	0.770980i	$0.280233\pi$
$338$	0.0568776	−	4.00377i	0.00309373	−	0.217777i
$339$	3.68627	−	2.67823i	0.200211	−	0.145462i
$340$	21.6751	−	10.8424i	1.17550	−	0.588014i
$341$	4.16126	+	3.02333i	0.225345	+	0.163723i
$342$	6.93563	−	9.26637i	0.375036	−	0.501068i
$343$	−0.707107	+	0.707107i	−0.0381802	+	0.0381802i
$344$	−1.53424	+	7.58050i	−0.0827204	+	0.408713i
$345$	−1.41343	−	4.05811i	−0.0760965	−	0.218481i
$346$	−12.5490	+	23.7873i	−0.674637	+	1.27881i
$347$	−22.0588	+	11.2395i	−1.18418	+	0.603369i	−0.931344	−	0.364141i	$-0.881363\pi$
$347$	−22.0588	+	11.2395i	−1.18418	+	0.603369i	−0.252834	+	0.967510i	$0.581363\pi$
$348$	−0.195904	+	0.358900i	−0.0105016	+	0.0192391i
$349$		−	31.8904i		−	1.70705i	−0.521050	−	0.853526i	$-0.674460\pi$
$349$		−	31.8904i		−	1.70705i	0.521050	−	0.853526i	$-0.325540\pi$
$350$	6.20873	−	3.38403i	0.331871	−	0.180884i
$351$		−	7.57291i		−	0.404212i
$352$	−18.8767	−	30.2906i	−1.00613	−	1.61450i
$353$	4.85778	−	2.47516i	0.258554	−	0.131740i	−0.319910	−	0.947448i	$-0.603653\pi$
$353$	4.85778	−	2.47516i	0.258554	−	0.131740i	0.578463	+	0.815708i	$0.303653\pi$
$354$	−5.36568	−	2.83066i	−0.285182	−	0.150448i
$355$	7.27431	−	24.0984i	0.386080	−	1.27901i
$356$	−0.783388	+	27.5669i	−0.0415195	+	1.46104i
$357$	−1.23705	+	1.23705i	−0.0654717	+	0.0654717i
$358$	19.6746	+	14.7260i	1.03984	+	0.778291i
$359$	18.8927	+	13.7263i	0.997119	+	0.724449i	0.961468	−	0.274915i	$-0.0886498\pi$
$359$	18.8927	+	13.7263i	0.997119	+	0.724449i	0.0356501	+	0.999364i	$0.488650\pi$
$360$	18.3103	+	0.395873i	0.965037	+	0.0208644i
$361$	8.90887	−	6.47267i	0.468888	−	0.340667i
$362$	−7.03001	−	0.0998684i	−0.369489	−	0.00524896i
$363$	−9.18527	+	1.45480i	−0.482102	+	0.0763574i
$364$	−7.63505	+	2.24310i	−0.400186	+	0.117570i
$365$	−3.09387	+	22.5949i	−0.161941	+	1.18267i
$366$	−3.01500	+	2.93054i	−0.157597	+	0.153182i
$367$	4.03323	−	7.91565i	0.210533	−	0.413194i	−0.761458	−	0.648215i	$-0.775516\pi$
$367$	4.03323	−	7.91565i	0.210533	−	0.413194i	0.971990	+	0.235021i	$0.0755159\pi$
$368$	−23.6927	+	2.38340i	−1.23506	+	0.124244i
$369$	−4.91129	+	1.59577i	−0.255671	+	0.0830727i
$370$	0.283962	+	0.0429999i	0.0147625	+	0.00223546i
$371$	−6.95010	−	2.25822i	−0.360831	−	0.117241i
$372$	−0.0675385	−	0.521999i	−0.00350171	−	0.0270644i
$373$	−26.5771	−	4.20940i	−1.37611	−	0.217955i	−0.575825	−	0.817573i	$-0.695319\pi$
$373$	−26.5771	−	4.20940i	−1.37611	−	0.217955i	−0.800286	+	0.599618i	$0.795319\pi$
$374$	−47.6473	−	8.24201i	−2.46378	−	0.426184i
$375$	3.10633	−	1.83776i	0.160410	−	0.0949016i
$376$	−10.8524	+	19.2272i	−0.559669	+	0.991566i
$377$	−0.394187	+	2.48880i	−0.0203017	+	0.128180i
$378$	−2.57147	+	0.795319i	−0.132262	+	0.0409068i
$379$	6.96377	−	21.4323i	0.357705	−	1.10090i	−0.596720	−	0.802450i	$-0.703530\pi$
$379$	6.96377	−	21.4323i	0.357705	−	1.10090i	0.954425	−	0.298452i	$-0.0964704\pi$
$380$	−11.9917	−	3.99485i	−0.615163	−	0.204932i
$381$	0.113053	+	0.347943i	0.00579190	+	0.0178256i
$382$	13.6713	+	19.3903i	0.699486	+	0.992095i
$383$	−32.0911	−	16.3512i	−1.63978	−	0.835510i	−0.997621	−	0.0689388i	$-0.978039\pi$
$383$	−32.0911	−	16.3512i	−1.63978	−	0.835510i	−0.642159	−	0.766571i	$-0.721961\pi$
$384$	−0.926629	+	3.53280i	−0.0472868	+	0.180282i
$385$	−13.9777	−	1.91393i	−0.712369	−	0.0975431i
$386$	6.57978	−	3.23567i	0.334902	−	0.164691i
$387$	1.23871	+	7.82091i	0.0629672	+	0.397559i
$388$	−0.175637	+	0.936001i	−0.00891664	+	0.0475182i
$389$	9.75169	+	13.4221i	0.494430	+	0.680525i	0.981197	−	0.193007i	$-0.0618239\pi$
$389$	9.75169	+	13.4221i	0.494430	+	0.680525i	−0.486767	+	0.873532i	$0.661824\pi$
$390$	−3.85441	+	1.28139i	−0.195176	+	0.0648855i
$391$	−18.9627	+	26.0999i	−0.958984	+	1.31993i
$392$	1.56351	+	2.35699i	0.0789694	+	0.119046i
$393$	2.48673	+	2.48673i	0.125439	+	0.125439i
$394$	−1.49838	+	0.215550i	−0.0754875	+	0.0108592i
$395$	37.2827	+	11.2541i	1.87589	+	0.566255i
$396$	−28.9403	−	22.3094i	−1.45430	−	1.12109i
$397$	4.97417	+	9.76236i	0.249646	+	0.489959i	0.981490	−	0.191514i	$-0.0613398\pi$
$397$	4.97417	+	9.76236i	0.249646	+	0.489959i	−0.731843	+	0.681473i	$0.761340\pi$
$398$	4.45814	−	13.0853i	0.223466	−	0.655907i
$399$	0.912392			0.0456767
$400$	−5.89771	−	19.1107i	−0.294885	−	0.955533i
$401$	−0.428427			−0.0213946			−0.0106973	−	0.999943i	$-0.503405\pi$
$401$	−0.428427			−0.0213946			−0.0106973	+	0.999943i	$0.503405\pi$
$402$	2.16553	−	6.35614i	0.108007	−	0.317015i
$403$	−1.47261	−	2.89017i	−0.0733561	−	0.143970i
$404$	−1.37103	−	1.05690i	−0.0682113	−	0.0525825i
$405$	17.0472	−	5.93751i	0.847083	−	0.295037i
$406$	0.886498	−	0.127527i	0.0439962	−	0.00632906i
$407$	−0.405185	−	0.405185i	−0.0200843	−	0.0200843i
$408$	2.73530	+	4.12345i	0.135417	+	0.204141i
$409$	13.4151	−	18.4643i	0.663333	−	0.912999i	−0.336253	−	0.941772i	$-0.609160\pi$
$409$	13.4151	−	18.4643i	0.663333	−	0.912999i	0.999586	+	0.0287724i	$0.00915979\pi$
$410$	3.34559	+	4.53964i	0.165227	+	0.224197i
$411$	−0.716582	−	0.986291i	−0.0353464	−	0.0486502i
$412$	−0.0932180	+	0.496774i	−0.00459252	+	0.0244743i
$413$	2.07873	+	13.1246i	0.102288	+	0.645819i
$414$	−21.8772	+	10.7583i	−1.07520	+	0.528742i
$415$	−4.91785	+	10.1745i	−0.241408	+	0.499445i
$416$	1.93451	+	22.4246i	0.0948473	+	1.09946i
$417$	0.840562	+	0.428288i	0.0411625	+	0.0209733i
$418$	14.5318	+	20.6107i	0.710771	+	1.00810i
$419$	6.78696	+	20.8881i	0.331565	+	1.02045i	0.968390	+	0.249443i	$0.0802474\pi$
$419$	6.78696	+	20.8881i	0.331565	+	1.02045i	−0.636825	+	0.771008i	$0.719753\pi$
$420$	0.839905	+	1.17423i	0.0409832	+	0.0572968i
$421$	−6.04525	+	18.6054i	−0.294628	+	0.906770i	0.688719	+	0.725029i	$0.258173\pi$
$421$	−6.04525	+	18.6054i	−0.294628	+	0.906770i	−0.983346	+	0.181742i	$0.941827\pi$
$422$	−13.5385	+	4.18728i	−0.659046	+	0.203834i
$423$	−3.53609	+	22.3260i	−0.171930	+	1.08553i
$424$	−10.1598	+	18.0001i	−0.493404	+	0.874165i
$425$	−24.6382	−	11.2770i	−1.19513	−	0.547016i
$426$	5.06423	+	0.876009i	0.245363	+	0.0424428i
$427$	9.09628	+	1.44071i	0.440200	+	0.0697208i
$428$	−2.11701	−	16.3622i	−0.102330	−	0.790897i
$429$	7.70746	+	2.50431i	0.372120	+	0.120909i
$430$	7.67778	−	3.97795i	0.370255	−	0.191834i
$431$	−3.27440	+	1.06392i	−0.157722	+	0.0512471i	−0.386814	−	0.922158i	$-0.626424\pi$
$431$	−3.27440	+	1.06392i	−0.157722	+	0.0512471i	0.229092	+	0.973405i	$0.426424\pi$
$432$	0.762010	+	7.57490i	0.0366622	+	0.364448i
$433$	10.9091	−	21.4104i	0.524260	−	1.02892i	−0.465348	−	0.885128i	$-0.654071\pi$
$433$	10.9091	−	21.4104i	0.524260	−	1.02892i	0.989608	−	0.143790i	$-0.0459291\pi$
$434$	−0.826733	+	0.803573i	−0.0396844	+	0.0385727i
$435$	0.449919	−	0.0809784i	0.0215720	−	0.00388262i
$436$	9.34244	−	2.74471i	0.447422	−	0.131448i
$437$	16.6180	−	2.63204i	0.794949	−	0.125908i
$438$	−4.65578	−	0.0661400i	−0.222462	−	0.00316029i
$439$	1.38263	−	1.00454i	0.0659892	−	0.0479439i	−0.554302	−	0.832316i	$-0.687015\pi$
$439$	1.38263	−	1.00454i	0.0659892	−	0.0479439i	0.620291	+	0.784372i	$0.287015\pi$
$440$	−13.1484	+	37.6754i	−0.626825	+	1.79610i
$441$	2.34274	+	1.70210i	0.111559	+	0.0810524i
$442$	24.4131	+	18.2726i	1.16121	+	0.869138i
$443$	12.6790	−	12.6790i	0.602398	−	0.602398i	−0.338550	−	0.940948i	$-0.609937\pi$
$443$	12.6790	−	12.6790i	0.602398	−	0.602398i	0.940948	+	0.338550i	$0.109937\pi$
$444$	−0.00166567	+	0.0586138i	−7.90493e−5	+	0.00278169i
$445$	24.5585	−	18.6430i	1.16418	−	0.883764i
$446$	6.87291	+	3.62581i	0.325442	+	0.171687i
$447$	−2.75449	+	1.40348i	−0.130283	+	0.0663823i
$448$	7.41135	−	3.01195i	0.350154	−	0.142301i
$449$		−	19.1168i		−	0.902175i	−0.892480	−	0.451088i	$-0.851036\pi$
$449$		−	19.1168i		−	0.902175i	0.892480	−	0.451088i	$-0.148964\pi$
$450$	−12.4913	−	16.2248i	−0.588848	−	0.764846i
$451$		−	11.2514i		−	0.529808i
$452$	−13.5251	+	24.7782i	−0.636167	+	1.16547i
$453$	1.95463	−	0.995934i	0.0918365	−	0.0467930i
$454$	−7.05015	+	13.3640i	−0.330880	+	0.627201i
$455$	7.30605	+	5.07725i	0.342513	+	0.238025i
$456$	0.511921	−	2.52935i	0.0239729	−	0.118448i
$457$	−3.31950	+	3.31950i	−0.155280	+	0.155280i	−0.780471	−	0.625192i	$-0.785021\pi$
$457$	−3.31950	+	3.31950i	−0.155280	+	0.155280i	0.625192	+	0.780471i	$0.285021\pi$
$458$	−9.83486	+	13.1399i	−0.459553	+	0.613987i
$459$	8.34453	+	6.06266i	0.389489	+	0.282981i
$460$	18.6852	+	18.9642i	0.871201	+	0.884212i
$461$	−26.5851	+	19.3152i	−1.23819	+	0.899599i	−0.997477	−	0.0709965i	$-0.977382\pi$
$461$	−26.5851	+	19.3152i	−1.23819	+	0.899599i	−0.240716	+	0.970596i	$0.577382\pi$
$462$	0.0409156	−	2.88016i	0.00190357	−	0.133997i
$463$	−7.95451	+	1.25987i	−0.369678	+	0.0585512i	−0.338509	−	0.940963i	$-0.609923\pi$
$463$	−7.95451	+	1.25987i	−0.369678	+	0.0585512i	−0.0311681	+	0.999514i	$0.509923\pi$
$464$	0.143860	−	2.52912i	0.00667852	−	0.117411i
$465$	−0.407287	+	0.424761i	−0.0188875	+	0.0196978i
$466$	−10.4333	−	10.7340i	−0.483312	−	0.497241i
$467$	10.2207	−	20.0593i	0.472959	−	0.928235i	−0.524104	−	0.851654i	$-0.675600\pi$
$467$	10.2207	−	20.0593i	0.472959	−	0.928235i	0.997063	−	0.0765804i	$-0.0244002\pi$
$468$	9.87424	+	20.8212i	0.456437	+	0.962458i
$469$	−13.9885	+	4.54513i	−0.645927	+	0.209874i
$470$	24.3538	−	4.02703i	1.12336	−	0.185753i
$471$	6.57259	+	2.13556i	0.302849	+	0.0984016i
$472$	37.5506	+	1.60119i	1.72840	+	0.0737008i
$473$	−17.0402	−	2.69890i	−0.783509	−	0.124096i
$474$	−1.35527	+	7.83488i	−0.0622498	+	0.359868i
$475$	4.92730	+	13.2447i	0.226080	+	0.607709i
$476$	3.64076	−	10.2088i	0.166874	−	0.467918i
$477$	−3.31042	+	20.9012i	−0.151574	+	0.957000i
$478$	−7.77174	−	25.1280i	−0.355471	−	1.14933i
$479$	−6.65073	+	20.4688i	−0.303880	+	0.935245i	0.676213	+	0.736706i	$0.263620\pi$
$479$	−6.65073	+	20.4688i	−0.303880	+	0.935245i	−0.980093	+	0.198539i	$0.936380\pi$
$480$	3.72648	−	1.66957i	0.170090	−	0.0762049i
$481$	0.111667	+	0.343676i	0.00509158	+	0.0156703i
$482$	0.887682	−	0.625869i	0.0404328	−	0.0285075i
$483$	−1.71231	−	0.872466i	−0.0779128	−	0.0396986i
$484$	47.5552	−	32.5279i	2.16160	−	1.47854i
$485$	0.938336	−	0.503197i	0.0426077	−	0.0228490i
$486$	5.18979	+	10.5535i	0.235414	+	0.478717i
$487$	1.11009	+	7.00883i	0.0503030	+	0.317601i	0.999990	+	0.00440097i	$0.00140088\pi$
$487$	1.11009	+	7.00883i	0.0503030	+	0.317601i	−0.949687	+	0.313200i	$0.898599\pi$
$488$	9.09766	−	24.4085i	0.411832	−	1.10492i
$489$	−1.09642	−	1.50909i	−0.0495817	−	0.0682434i
$490$	0.956745	−	3.01407i	0.0432213	−	0.136162i
$491$	5.27535	−	7.26089i	0.238073	−	0.327679i	−0.673217	−	0.739445i	$-0.735088\pi$
$491$	5.27535	−	7.26089i	0.238073	−	0.327679i	0.911290	+	0.411766i	$0.135088\pi$
$492$	−0.836938	+	0.790685i	−0.0377321	+	0.0356468i
$493$	−2.42681	−	2.42681i	−0.109298	−	0.109298i
$494$	−2.26449	−	15.7415i	−0.101884	−	0.708244i
$495$	0.857801	+	40.8451i	0.0385553	+	1.83585i
$496$	1.76382	+	2.74275i	0.0791978	+	0.123153i
$497$	−5.11077	−	10.0304i	−0.229249	−	0.449927i
$498$	−2.18398	−	0.744078i	−0.0978665	−	0.0333429i
$499$	11.7184			0.524586			0.262293	−	0.964988i	$-0.415521\pi$
$499$	11.7184			0.524586			0.262293	+	0.964988i	$0.415521\pi$
$500$	−12.5099	+	18.5338i	−0.559460	+	0.828857i
$501$	1.71343			0.0765504
$502$	30.8921	+	10.5249i	1.37878	+	0.469749i
$503$	−16.6244	−	32.6271i	−0.741243	−	1.45477i	−0.885211	−	0.465190i	$-0.845986\pi$
$503$	−16.6244	−	32.6271i	−0.741243	−	1.45477i	0.143968	−	0.989582i	$-0.454014\pi$
$504$	6.03305	−	5.53958i	0.268733	−	0.246753i
$505$	0.0406379	+	1.93502i	0.00180836	+	0.0861071i
$506$	−7.56338	−	52.5765i	−0.336233	−	2.33731i
$507$	−0.646316	−	0.646316i	−0.0287039	−	0.0287039i
$508$	−1.55654	−	1.64759i	−0.0690601	−	0.0730999i
$509$	−22.8929	+	31.5094i	−1.01471	+	1.39663i	−0.0988638	+	0.995101i	$0.531521\pi$
$509$	−22.8929	+	31.5094i	−1.01471	+	1.39663i	−0.915847	+	0.401528i	$0.868479\pi$
$510$	1.67378	−	5.27298i	0.0741163	−	0.233492i
$511$	5.99485	+	8.25121i	0.265197	+	0.365012i
$512$	−4.19145	−	22.2358i	−0.185238	−	0.982694i
$513$	−0.841503	−	5.31304i	−0.0371533	−	0.234576i
$514$	−10.1048	−	20.5482i	−0.445702	−	0.906341i
$515$	0.498013	−	0.267067i	0.0219451	−	0.0117684i
$516$	0.996730	+	1.45720i	0.0438786	+	0.0641498i
$517$	−43.8822	−	22.3591i	−1.92994	−	0.983353i
$518$	0.104972	−	0.0740113i	0.00461219	−	0.00325187i
$519$	1.89710	+	5.83869i	0.0832736	+	0.256290i
$520$	18.1745	−	17.4053i	0.797004	−	0.763271i
$521$	11.4551	−	35.2551i	0.501856	−	1.54455i	−0.304137	−	0.952628i	$-0.598368\pi$
$521$	11.4551	−	35.2551i	0.501856	−	1.54455i	0.805993	−	0.591925i	$-0.201632\pi$
$522$	−0.766329	−	2.47773i	−0.0335413	−	0.108447i
$523$	3.78726	−	23.9118i	0.165605	−	1.04559i	−0.755179	−	0.655519i	$-0.772450\pi$
$523$	3.78726	−	23.9118i	0.165605	−	1.04559i	0.920784	−	0.390072i	$-0.127550\pi$
$524$	−20.5217	−	7.31868i	−0.896497	−	0.319718i
$525$	0.433896	−	1.55469i	0.0189368	−	0.0678523i
$526$	5.21076	−	30.1236i	0.227200	−	1.31345i
$527$	4.36359	+	0.691124i	0.190081	+	0.0301059i
$528$	−7.96148	−	1.72942i	−0.346479	−	0.0752632i
$529$	−11.8301	−	3.84383i	−0.514352	−	0.167123i
$530$	22.7996	−	3.77004i	0.990350	−	0.163760i
$531$	36.5964	−	11.8909i	1.58815	−	0.516021i
$532$	−5.10739	+	2.42213i	−0.221433	+	0.105013i
$533$	−3.22128	+	6.32212i	−0.139529	+	0.273841i
$534$	4.38770	+	4.51416i	0.189874	+	0.195347i
$535$	−12.7665	+	13.3143i	−0.551945	+	0.575626i
$536$	4.75150	+	41.3292i	0.205233	+	1.78515i
$537$	5.54071	−	0.877562i	0.239099	−	0.0378696i
$538$	0.181019	−	12.7425i	0.00780430	−	0.549366i
$539$	−5.10437	+	3.70854i	−0.219861	+	0.159738i
$540$	6.06315	−	5.97393i	0.260917	−	0.257077i
$541$	22.1198	+	16.0710i	0.951005	+	0.690945i	0.951044	−	0.309055i	$-0.100013\pi$
$541$	22.1198	+	16.0710i	0.951005	+	0.690945i	−3.96455e−5		1.00000i	$0.500013\pi$
$542$	13.4108	−	17.9175i	0.576041	−	0.769621i
$543$	−1.13483	+	1.13483i	−0.0487003	+	0.0487003i
$544$	−26.2582	−	15.8209i	−1.12581	−	0.678314i
$545$	−8.93987	−	6.21265i	−0.382942	−	0.266121i
$546$	−0.847582	+	1.60664i	−0.0362732	+	0.0687578i
$547$	−9.24394	+	4.71002i	−0.395242	+	0.201386i	−0.640304	−	0.768121i	$-0.721192\pi$
$547$	−9.24394	+	4.71002i	−0.395242	+	0.201386i	0.245062	+	0.969507i	$0.421192\pi$
$548$	6.62960	+	3.61874i	0.283202	+	0.154585i
$549$		−	26.6692i		−	1.13821i
$550$	42.0308	−	14.9601i	1.79220	−	0.637903i
$551$			1.78991i			0.0762526i
$552$	−3.37940	+	4.25738i	−0.143837	+	0.181206i
$553$	15.5181	−	7.90687i	0.659897	−	0.336234i
$554$	29.7587	+	15.6992i	1.26433	+	0.666996i
$555$	0.0522173	−	0.0396396i	0.00221650	−	0.00168261i
$556$	−5.84227	−	0.166024i	−0.247768	−	0.00704099i
$557$	1.34581	−	1.34581i	0.0570240	−	0.0570240i	−0.678020	−	0.735044i	$-0.737162\pi$
$557$	1.34581	−	1.34581i	0.0570240	−	0.0570240i	0.735044	+	0.678020i	$0.237162\pi$
$558$	2.67284	+	2.00055i	0.113150	+	0.0846900i
$559$	8.80213	+	6.39512i	0.372290	+	0.270485i
$560$	−7.81886	−	4.34343i	−0.330407	−	0.183543i
$561$	−8.92985	+	6.48792i	−0.377019	+	0.273920i
$562$	13.6844	+	0.194400i	0.577240	+	0.00820027i
$563$	−7.15628	+	1.13344i	−0.301601	+	0.0477689i	−0.305401	−	0.952224i	$-0.598790\pi$
$563$	−7.15628	+	1.13344i	−0.301601	+	0.0477689i	0.00379980	+	0.999993i	$0.498790\pi$
$564$	1.42061	+	4.83546i	0.0598183	+	0.203610i
$565$	31.0621	−	5.59069i	1.30679	−	0.235202i
$566$	24.1231	−	23.4474i	1.01397	−	0.985566i
$567$	3.66504	−	7.19304i	0.153917	−	0.302079i
$568$	−30.6741	+	8.54032i	−1.28706	+	0.358344i
$569$	16.3267	−	5.30486i	0.684450	−	0.222391i	0.0539074	−	0.998546i	$-0.482832\pi$
$569$	16.3267	−	5.30486i	0.684450	−	0.222391i	0.630543	+	0.776155i	$0.282832\pi$
$570$	−2.56181	+	1.32730i	−0.107302	+	0.0555946i
$571$	−3.59990	−	1.16968i	−0.150651	−	0.0489495i	0.232721	−	0.972544i	$-0.425237\pi$
$571$	−3.59990	−	1.16968i	−0.150651	−	0.0489495i	−0.383372	+	0.923594i	$0.625237\pi$
$572$	−49.7930	+	6.44244i	−2.08195	+	0.269372i
$573$	5.34907	+	0.847209i	0.223461	+	0.0353927i
$574$	2.48505	+	0.429863i	0.103724	+	0.0179421i
$575$	3.41793	−	29.5684i	0.142537	−	1.23309i
$576$	−11.9719	−	19.8331i	−0.498831	−	0.826377i
$577$	−2.76733	+	17.4722i	−0.115205	+	0.727378i	0.860688	+	0.509132i	$0.170033\pi$
$577$	−2.76733	+	17.4722i	−0.115205	+	0.727378i	−0.975894	+	0.218246i	$0.929967\pi$
$578$	−16.7107	+	5.16839i	−0.695074	+	0.214977i
$579$	0.517215	−	1.59182i	0.0214947	−	0.0661539i
$580$	−2.30358	+	1.64770i	−0.0956510	+	0.0684172i
$581$	1.56171	+	4.80646i	0.0647907	+	0.199405i
$582$	0.125267	+	0.177669i	0.00519248	+	0.00736460i
$583$	−41.0818	−	20.9322i	−1.70143	−	0.866924i
$584$	26.2377	−	11.9895i	1.08572	−	0.496129i
$585$	11.2120	−	23.1963i	0.463558	−	0.959049i
$586$	20.5730	−	10.1170i	0.849861	−	0.417928i
$587$	3.34778	+	21.1370i	0.138178	+	0.872419i	0.955232	+	0.295858i	$0.0956056\pi$
$587$	3.34778	+	21.1370i	0.138178	+	0.872419i	−0.817054	+	0.576561i	$0.804394\pi$
$588$	0.634566	+	0.119074i	0.0261691	+	0.00491054i
$589$	−1.35432	−	1.86406i	−0.0558038	−	0.0768073i
$590$	−24.9297	−	33.8271i	−1.02634	−	1.39264i
$591$	−0.203112	+	0.279560i	−0.00835492	+	0.0114996i
$592$	−0.146278	−	0.332530i	−0.00601200	−	0.0136669i
$593$	1.00531	+	1.00531i	0.0412831	+	0.0412831i	0.727447	−	0.686164i	$-0.240707\pi$
$593$	1.00531	+	1.00531i	0.0412831	+	0.0412831i	−0.686164	+	0.727447i	$0.740707\pi$
$594$	−16.8095	+	2.41813i	−0.689702	+	0.0992169i
$595$	−11.4436	+	3.98578i	−0.469142	+	0.163401i
$596$	11.6932	−	15.1687i	0.478973	−	0.621336i
$597$	−1.43260	−	2.81163i	−0.0586323	−	0.115072i
$598$	−10.8028	+	31.7079i	−0.441761	+	1.29663i
$599$	21.5269			0.879567			0.439783	−	0.898104i	$-0.355055\pi$
$599$	21.5269			0.879567			0.439783	+	0.898104i	$0.355055\pi$
$600$	−4.06650	−	2.07515i	−0.166014	−	0.0847178i
$601$	38.0104			1.55048			0.775238	−	0.631670i	$-0.217630\pi$
$601$	38.0104			1.55048			0.775238	+	0.631670i	$0.217630\pi$
$602$	1.24712	−	3.66049i	0.0508289	−	0.149190i
$603$	19.3365	+	37.9499i	0.787441	+	1.54544i
$604$	−8.29771	+	10.7640i	−0.337629	+	0.437981i
$605$	−61.6679	−	18.6150i	−2.50716	−	0.756807i
$606$	−0.391133	+	0.0562663i	−0.0158887	+	0.00228566i
$607$	2.43038	+	2.43038i	0.0986461	+	0.0986461i	0.754708	−	0.656061i	$-0.227779\pi$
$607$	2.43038	+	2.43038i	0.0986461	+	0.0986461i	−0.656061	+	0.754708i	$0.727779\pi$
$608$	3.84905	+	15.5178i	0.156100	+	0.629329i
$609$	0.120169	−	0.165398i	0.00486948	−	0.00670226i
$610$	−27.6363	+	9.18761i	−1.11896	+	0.371996i
$611$	18.2558	+	25.1270i	0.738552	+	1.01653i
$612$	−30.8477	−	5.78847i	−1.24694	−	0.233985i
$613$	4.20972	+	26.5791i	0.170029	+	1.07352i	0.914120	+	0.405443i	$0.132883\pi$
$613$	4.20972	+	26.5791i	0.170029	+	1.07352i	−0.744092	+	0.668078i	$0.767117\pi$
$614$	2.17488	−	1.06952i	0.0877709	−	0.0431622i
$615$	1.27537	+	0.174633i	0.0514278	+	0.00704189i
$616$	7.41694	+	16.2312i	0.298837	+	0.653973i
$617$	27.2603	+	13.8898i	1.09746	+	0.559183i	0.906411	−	0.422397i	$-0.138811\pi$
$617$	27.2603	+	13.8898i	1.09746	+	0.559183i	0.191049	+	0.981581i	$0.438811\pi$
$618$	0.0664843	+	0.0942960i	0.00267439	+	0.00379314i
$619$	−6.10206	−	18.7802i	−0.245263	−	0.754841i	−0.995593	−	0.0937778i	$-0.970106\pi$
$619$	−6.10206	−	18.7802i	−0.245263	−	0.754841i	0.750331	−	0.661063i	$-0.229894\pi$
$620$	1.15230	−	3.45896i	0.0462773	−	0.138915i
$621$	−3.50127	+	10.7758i	−0.140501	+	0.432418i
$622$	21.9388	−	6.78536i	0.879665	−	0.272068i
$623$	2.15707	−	13.6192i	0.0864214	−	0.545643i
$624$	3.97839	+	3.25113i	0.159263	+	0.130149i
$625$	24.9119	−	2.09735i	0.996475	−	0.0838942i
$626$	−47.0955	−	8.14655i	−1.88231	−	0.325602i
$627$	5.68572	+	0.900530i	0.227066	+	0.0359637i
$628$	−42.4613	+	5.49383i	−1.69439	+	0.219228i
$629$	−0.468092	−	0.152092i	−0.0186640	−	0.00606431i
$630$	−9.05406	−	1.37104i	−0.360722	−	0.0546236i
$631$	32.1629	−	10.4504i	1.28039	−	0.416022i	0.411669	−	0.911333i	$-0.364946\pi$
$631$	32.1629	−	10.4504i	1.28039	−	0.416022i	0.868716	+	0.495311i	$0.164946\pi$
$632$	−13.2127	−	47.4559i	−0.525575	−	1.88770i
$633$	−1.46860	+	2.88229i	−0.0583715	+	0.114561i
$634$	−3.83553	+	3.72809i	−0.152329	+	0.148061i
$635$	−0.343781	+	2.51068i	−0.0136425	+	0.0996332i
$636$	1.32995	+	4.52688i	0.0527359	+	0.179502i
$637$	3.92988	−	0.622432i	0.155708	−	0.0246617i
$638$	5.65023	+	0.0802671i	0.223695	+	0.00317781i
$639$	−26.3732	+	19.1613i	−1.04331	+	0.758008i
$640$	−16.4279	+	19.2386i	−0.649370	+	0.760473i
$641$	−10.1582	−	7.38037i	−0.401225	−	0.291507i	0.368815	−	0.929503i	$-0.379764\pi$
$641$	−10.1582	−	7.38037i	−0.401225	−	0.291507i	−0.770040	+	0.637996i	$0.779764\pi$
$642$	−3.01510	−	2.25672i	−0.118996	−	0.0890657i
$643$	4.20948	−	4.20948i	0.166006	−	0.166006i	−0.619216	−	0.785221i	$-0.712549\pi$
$643$	4.20948	−	4.20948i	0.166006	−	0.166006i	0.785221	+	0.619216i	$0.212549\pi$
$644$	11.9013	+	0.338208i	0.468977	+	0.0133273i
$645$	0.570407	−	1.88965i	0.0224597	−	0.0744049i
$646$	19.1583	+	10.1070i	0.753775	+	0.397654i
$647$	8.83899	−	4.50369i	0.347496	−	0.177058i	−0.271527	−	0.962431i	$-0.587529\pi$
$647$	8.83899	−	4.50369i	0.347496	−	0.177058i	0.619023	+	0.785373i	$0.287529\pi$
$648$	−17.8843	−	14.1961i	−0.702562	−	0.557677i
$649$			83.8398i			3.29100i
$650$	−27.9000	−	3.62738i	−1.09433	−	0.142277i
$651$			0.263175i			0.0103146i
$652$	10.1437	+	5.53692i	0.397259	+	0.216842i
$653$	25.4363	−	12.9604i	0.995399	−	0.507181i	0.121137	−	0.992636i	$-0.461346\pi$
$653$	25.4363	−	12.9604i	0.995399	−	0.507181i	0.874262	+	0.485455i	$0.161346\pi$
$654$	1.03712	−	1.96592i	0.0405547	−	0.0768736i
$655$	8.01225	+	23.0040i	0.313065	+	0.898842i
$656$	2.58598	−	6.64792i	0.100965	−	0.259558i
$657$	20.8839	−	20.8839i	0.814758	−	0.814758i
$658$	6.61490	−	8.83785i	0.257876	−	0.344535i
$659$	−5.93253	−	4.31024i	−0.231099	−	0.167903i	0.466210	−	0.884674i	$-0.345619\pi$
$659$	−5.93253	−	4.31024i	−0.231099	−	0.167903i	−0.697308	+	0.716771i	$0.745619\pi$
$660$	4.07504	+	8.14642i	0.158621	+	0.317099i
$661$	20.7937	−	15.1075i	0.808781	−	0.587614i	−0.104696	−	0.994504i	$-0.533387\pi$
$661$	20.7937	−	15.1075i	0.808781	−	0.587614i	0.913477	+	0.406890i	$0.133387\pi$
$662$	0.0193330	−	1.36090i	0.000751396	−	0.0528929i
$663$	6.87515	−	1.08892i	0.267009	−	0.0422900i
$664$	14.2008	−	1.63262i	0.551097	−	0.0633580i
$665$	5.69000	+	2.75027i	0.220649	+	0.106651i
$666$	−0.259234	−	0.266706i	−0.0100451	−	0.0103346i
$667$	1.71158	−	3.35917i	0.0662727	−	0.130067i
$668$	−9.59144	+	4.54865i	−0.371104	+	0.175993i
$669$	1.68699	−	0.548135i	0.0652227	−	0.0211921i
$670$	32.6647	−	33.1115i	1.26195	−	1.27921i
$671$	55.2630	+	17.9560i	2.13340	+	0.693185i
$672$	0.686140	−	1.69235i	0.0264684	−	0.0652837i
$673$	−29.4217	−	4.65994i	−1.13412	−	0.179627i	−0.438978	−	0.898498i	$-0.644660\pi$
$673$	−29.4217	−	4.65994i	−1.13412	−	0.179627i	−0.695144	+	0.718870i	$0.744660\pi$
$674$	−4.49953	+	26.0119i	−0.173315	+	1.00194i
$675$	−9.45347	−	1.09276i	−0.363864	−	0.0420605i
$676$	5.33373	+	1.90217i	0.205143	+	0.0731604i
$677$	5.59795	−	35.3441i	0.215147	−	1.35838i	−0.609523	−	0.792768i	$-0.708639\pi$
$677$	5.59795	−	35.3441i	0.215147	−	1.35838i	0.824670	−	0.565614i	$-0.191361\pi$
$678$	1.90400	+	6.15612i	0.0731228	+	0.236425i
$679$	0.147144	−	0.452863i	0.00564687	−	0.0173793i
$680$	4.62873	+	33.9605i	0.177504	+	1.30233i
$681$	1.06582	+	3.28024i	0.0408421	+	0.125699i
$682$	−5.94505	+	4.19161i	−0.227648	+	0.160505i
$683$	37.4597	+	19.0867i	1.43336	+	0.730331i	0.986421	−	0.164236i	$-0.0525157\pi$
$683$	37.4597	+	19.0867i	1.43336	+	0.730331i	0.446934	+	0.894567i	$0.352516\pi$
$684$	9.24127	+	13.5106i	0.353349	+	0.516590i
$685$	−1.49583	−	8.31090i	−0.0571528	−	0.317543i
$686$	−0.624076	−	1.26907i	−0.0238273	−	0.0484532i
$687$	0.586088	+	3.70041i	0.0223606	+	0.141180i
$688$	−9.44794	−	5.51110i	−0.360199	−	0.210109i
$689$	17.0908	+	23.5235i	0.651108	+	0.896173i
$690$	6.07703	−	0.0412831i	0.231349	−	0.00157162i
$691$	−1.77213	+	2.43913i	−0.0674149	+	0.0927887i	−0.841393	−	0.540424i	$-0.818264\pi$
$691$	−1.77213	+	2.43913i	−0.0674149	+	0.0927887i	0.773978	+	0.633212i	$0.218264\pi$
$692$	−26.1196	−	27.6475i	−0.992918	−	1.05100i
$693$	12.9192	+	12.9192i	0.490760	+	0.490760i
$694$	−4.98531	−	34.6552i	−0.189240	−	1.31549i
$695$	3.95103	+	5.20471i	0.149871	+	0.197426i
$696$	−0.391095	−	0.425934i	−0.0148244	−	0.0161450i
$697$	−4.38743	−	8.61081i	−0.166186	−	0.326158i
$698$	42.6902	+	14.5445i	1.61585	+	0.550516i
$699$	−3.41696			−0.129241
$700$	1.69839	+	9.85472i	0.0641930	+	0.372473i
$701$	−6.78635			−0.256317			−0.128159	−	0.991754i	$-0.540907\pi$
$701$	−6.78635			−0.256317			−0.128159	+	0.991754i	$0.540907\pi$
$702$	10.1375	+	3.45383i	0.382615	+	0.130356i
$703$	0.116533	+	0.228710i	0.00439514	+	0.00862595i
$704$	49.1579	−	11.4545i	1.85271	−	0.431706i
$705$	3.21555	−	4.62710i	0.121104	−	0.174267i
$706$	1.09786	+	7.63175i	0.0413187	+	0.287225i
$707$	0.612041	+	0.612041i	0.0230182	+	0.0230182i
$708$	6.23644	−	5.89178i	0.234380	−	0.221427i
$709$	9.61047	−	13.2277i	0.360929	−	0.496776i	−0.589478	−	0.807784i	$-0.700667\pi$
$709$	9.61047	−	13.2277i	0.360929	−	0.496776i	0.950407	+	0.311008i	$0.100667\pi$
$710$	28.9418	+	20.7285i	1.08617	+	0.777927i
$711$	−29.6444	−	40.8021i	−1.11175	−	1.53020i
$712$	−36.5452	−	13.6213i	−1.36959	−	0.510480i
$713$	0.759199	+	4.79339i	0.0284322	+	0.179514i
$714$	−1.09179	−	2.22017i	−0.0408593	−	0.0830879i
$715$	40.5176	+	38.8508i	1.51527	+	1.45294i
$716$	−28.6861	+	19.6214i	−1.07205	+	0.733285i
$717$	−5.34962	−	2.72577i	−0.199785	−	0.101796i
$718$	−26.9914	+	19.0305i	−1.00731	+	0.710212i
$719$	5.07864	+	15.6304i	0.189401	+	0.582917i	0.999996	−	0.00268986i	$-0.000856211\pi$
$719$	5.07864	+	15.6304i	0.189401	+	0.582917i	−0.810595	+	0.585607i	$0.800856\pi$
$720$	−8.88084	+	24.3306i	−0.330969	+	0.906747i
$721$	0.0780954	−	0.240353i	0.00290843	−	0.00895121i
$722$	4.60154	+	14.8779i	0.171251	+	0.553699i
$723$	0.0387849	−	0.244879i	0.00144243	−	0.00910713i
$724$	3.33992	−	9.36521i	0.124127	−	0.348055i
$725$	3.04995	+	0.851206i	0.113272	+	0.0316130i
$726$	2.24171	−	12.9594i	0.0831977	−	0.480968i
$727$	−29.4995	−	4.67226i	−1.09408	−	0.173285i	−0.416789	−	0.909003i	$-0.636845\pi$
$727$	−29.4995	−	4.67226i	−1.09408	−	0.173285i	−0.677287	+	0.735718i	$0.736845\pi$
$728$	0.479443	−	11.2437i	0.0177693	−	0.416720i
$729$	−20.4803	−	6.65445i	−0.758529	−	0.246461i
$730$	−28.8358	−	14.4467i	−1.06726	−	0.534695i
$731$	−14.0935	+	4.57925i	−0.521266	+	0.169370i
$732$	−2.54791	−	5.37260i	−0.0941733	−	0.198577i
$733$	−2.23467	+	4.38579i	−0.0825395	+	0.161993i	−0.928587	−	0.371114i	$-0.878976\pi$
$733$	−2.23467	+	4.38579i	−0.0825395	+	0.161993i	0.846048	+	0.533107i	$0.178976\pi$
$734$	8.75685	+	9.00924i	0.323221	+	0.332537i
$735$	−0.341145	−	0.636150i	−0.0125833	−	0.0234647i
$736$	7.61512	−	32.8033i	0.280697	−	1.20914i
$737$	−91.6574	+	14.5171i	−3.37624	+	0.534745i
$738$	0.103737	−	7.30231i	0.00381860	−	0.268802i
$739$	−26.3382	+	19.1359i	−0.968868	+	0.703924i	−0.955193	−	0.295983i	$-0.904353\pi$
$739$	−26.3382	+	19.1359i	−0.968868	+	0.703924i	−0.0136747	+	0.999906i	$0.504353\pi$
$740$	−0.187071	+	0.360516i	−0.00687685	+	0.0132528i
$741$	−2.93696	−	2.13383i	−0.107892	−	0.0783882i
$742$	6.19276	−	8.27385i	0.227343	−	0.303743i
$743$	−7.14556	+	7.14556i	−0.262145	+	0.262145i	−0.825925	−	0.563780i	$-0.809347\pi$
$743$	−7.14556	+	7.14556i	−0.262145	+	0.262145i	0.563780	+	0.825925i	$0.309347\pi$
$744$	0.729578	+	0.147661i	0.0267476	+	0.00541351i
$745$	−21.4085	+	0.449608i	−0.784349	+	0.0164724i
$746$	17.7561	−	33.6578i	0.650099	−	1.23230i
$747$	13.0397	−	6.64404i	0.477096	−	0.243093i
$748$	32.7640	−	60.0242i	1.19797	−	2.19470i
$749$			8.24929i			0.301423i
$750$	1.04340	+	4.99646i	0.0380996	+	0.182445i
$751$		−	1.69077i		−	0.0616971i	−0.999524	−	0.0308485i	$-0.990179\pi$
$751$		−	1.69077i		−	0.0616971i	0.999524	−	0.0308485i	$-0.00982095\pi$
$752$	−20.7890	−	23.2967i	−0.758097	−	0.849542i
$753$	6.63777	−	3.38211i	0.241894	−	0.123251i
$754$	−3.15186	−	1.66276i	−0.114784	−	0.0605543i
$755$	15.1919	−	0.319049i	0.552889	−	0.0116114i
$756$	0.108130	−	3.80503i	0.00393266	−	0.138388i
$757$	−18.2573	+	18.2573i	−0.663573	+	0.663573i	−0.956220	−	0.292648i	$-0.905464\pi$
$757$	−18.2573	+	18.2573i	−0.663573	+	0.663573i	0.292648	+	0.956220i	$0.405464\pi$
$758$	25.5144	+	19.0968i	0.926724	+	0.693628i
$759$	−9.80942	−	7.12696i	−0.356060	−	0.258692i
$760$	10.8169	−	14.2308i	0.392370	−	0.516206i
$761$	30.9115	−	22.4585i	1.12054	−	0.814121i	0.136250	−	0.990674i	$-0.456495\pi$
$761$	30.9115	−	22.4585i	1.12054	−	0.814121i	0.984291	+	0.176554i	$0.0564950\pi$
$762$	−0.517336	−	0.00734927i	−0.0187411	−	0.000266236i
$763$	−4.80870	+	0.761623i	−0.174087	+	0.0275726i
$764$	−32.1921	+	9.45770i	−1.16467	+	0.342167i
$765$	16.5838	+	30.9247i	0.599590	+	1.11808i
$766$	36.5247	−	35.5015i	1.31969	−	1.28272i
$767$	24.0034	−	47.1092i	0.866711	−	1.70102i
$768$	−4.30658	−	2.85166i	−0.155400	−	0.102901i
$769$	−14.3627	+	4.66672i	−0.517932	+	0.168286i	−0.556306	−	0.830977i	$-0.687782\pi$
$769$	−14.3627	+	4.66672i	−0.517932	+	0.168286i	0.0383748	+	0.999263i	$0.487782\pi$
$770$	8.93700	−	17.8384i	0.322067	−	0.642851i
$771$	−4.97115	−	1.61522i	−0.179032	−	0.0581709i
$772$	1.33056	+	10.2838i	0.0478878	+	0.370121i
$773$	1.72757	+	0.273621i	0.0621365	+	0.00984146i	0.187425	−	0.982279i	$-0.439986\pi$
$773$	1.72757	+	0.273621i	0.0621365	+	0.00984146i	−0.125289	+	0.992120i	$0.539986\pi$
$774$	−11.0344	−	1.90873i	−0.396624	−	0.0686080i
$775$	−3.82037	+	1.42126i	−0.137232	+	0.0510530i
$776$	−1.17288	−	0.662006i	−0.0421038	−	0.0237646i
$777$	0.00458646	−	0.0289578i	0.000164538	−	0.00103885i
$778$	−22.4150	+	6.93265i	−0.803617	+	0.248548i
$779$	−1.55749	+	4.79345i	−0.0558028	+	0.171743i
$780$	0.0425754	−	5.74413i	0.00152444	−	0.205673i
$781$	−21.9485	−	67.5507i	−0.785381	−	2.41715i
$782$	−26.2903	−	37.2880i	−0.940138	−	1.33342i
$783$	−1.07398	−	0.547218i	−0.0383808	−	0.0195560i
$784$	−3.86828	+	1.01803i	−0.138153	+	0.0363583i
$785$	34.5517	+	33.1303i	1.23320	+	1.18247i
$786$	−4.46301	+	2.19473i	−0.159190	+	0.0782834i
$787$	3.71774	+	23.4729i	0.132523	+	0.836718i	0.960971	+	0.276651i	$0.0892245\pi$
$787$	3.71774	+	23.4729i	0.132523	+	0.836718i	−0.828447	+	0.560067i	$0.810775\pi$
$788$	0.394832	−	2.10412i	0.0140653	−	0.0749563i
$789$	−4.10179	−	5.64563i	−0.146028	−	0.200990i
$790$	−32.0691	+	44.7758i	−1.14097	+	1.59305i
$791$	8.29635	−	11.4189i	0.294984	−	0.406011i
$792$	43.0635	−	28.5662i	1.53019	−	1.01506i
$793$	−25.9112	−	25.9112i	−0.920135	−	0.920135i
$794$	−15.3370	+	2.20630i	−0.544290	+	0.0782988i
$795$	3.01034	−	4.33181i	0.106766	−	0.153634i
$796$	15.4834	+	11.9358i	0.548796	+	0.423054i
$797$	7.83675	+	15.3805i	0.277592	+	0.544805i	0.987141	−	0.159851i	$-0.0511014\pi$
$797$	7.83675	+	15.3805i	0.277592	+	0.544805i	−0.709549	+	0.704656i	$0.751101\pi$
$798$	−0.416121	+	1.22138i	−0.0147305	+	0.0432363i
$799$	−42.3024			−1.49655
$800$	28.2724	+	0.820942i	0.999579	+	0.0290247i
$801$	−39.9300			−1.41086
$802$	0.195396	−	0.573516i	0.00689967	−	0.0202515i
$803$	29.2140	+	57.3357i	1.03094	+	2.02333i
$804$	7.52102	+	5.79778i	0.265246	+	0.204472i
$805$	−8.04866	−	10.6025i	−0.283678	−	0.373690i
$806$	4.54056	−	0.653181i	0.159934	−	0.0230073i
$807$	−2.05697	−	2.05697i	−0.0724089	−	0.0724089i
$808$	2.04011	−	1.35331i	0.0717709	−	0.0476093i
$809$	0.183152	−	0.252087i	0.00643929	−	0.00886292i	−0.805785	−	0.592208i	$-0.798256\pi$
$809$	0.183152	−	0.252087i	0.00643929	−	0.00886292i	0.812225	+	0.583345i	$0.198256\pi$
$810$	0.173421	+	25.5283i	0.00609340	+	0.896973i
$811$	−28.6640	−	39.4527i	−1.00653	−	1.38537i	−0.921231	−	0.389015i	$-0.872815\pi$
$811$	−28.6640	−	39.4527i	−1.00653	−	1.38537i	−0.0852993	−	0.996355i	$-0.527185\pi$
$812$	−0.233597	+	1.24488i	−0.00819764	+	0.0436866i
$813$	−0.799185	−	5.04586i	−0.0280287	−	0.176966i
$814$	0.727197	−	0.357606i	0.0254883	−	0.0125341i
$815$	−2.28872	−	12.7162i	−0.0801704	−	0.445430i
$816$	−6.76738	+	1.78100i	−0.236906	+	0.0623475i
$817$	6.88607	+	3.50863i	0.240913	+	0.122751i
$818$	18.5990	+	26.3793i	0.650297	+	0.922330i
$819$	−3.56048	−	10.9580i	−0.124413	−	0.382904i
$820$	−7.60285	+	2.40816i	−0.265503	+	0.0840967i
$821$	−5.43743	+	16.7347i	−0.189768	+	0.584045i	−0.999998	−	0.00206693i	$-0.999342\pi$
$821$	−5.43743	+	16.7347i	−0.189768	+	0.584045i	0.810230	+	0.586112i	$0.199342\pi$
$822$	1.64712	−	0.509431i	0.0574499	−	0.0177684i
$823$	−3.23870	+	20.4483i	−0.112894	+	0.712784i	0.864701	+	0.502287i	$0.167508\pi$
$823$	−3.23870	+	20.4483i	−0.112894	+	0.712784i	−0.977595	+	0.210496i	$0.932492\pi$
$824$	−0.622494	−	0.351354i	−0.0216856	−	0.0122400i
$825$	4.23837	−	9.26006i	0.147561	−	0.322394i
$826$	−18.5173	−	3.20312i	−0.644301	−	0.111451i
$827$	19.9932	+	3.16662i	0.695233	+	0.110114i	0.494042	−	0.869438i	$-0.335519\pi$
$827$	19.9932	+	3.16662i	0.695233	+	0.110114i	0.201191	+	0.979552i	$0.435519\pi$
$828$	−4.42398	−	34.1926i	−0.153744	−	1.18827i
$829$	−25.9728	−	8.43909i	−0.902074	−	0.293102i	−0.178981	−	0.983853i	$-0.557280\pi$
$829$	−25.9728	−	8.43909i	−0.902074	−	0.293102i	−0.723093	+	0.690751i	$0.757280\pi$
$830$	−11.3772	−	11.2236i	−0.394907	−	0.389578i
$831$	7.30441	−	2.37335i	0.253387	−	0.0823305i
$832$	−30.9010	−	7.63770i	−1.07130	−	0.264789i
$833$	−2.46030	+	4.82861i	−0.0852443	+	0.167301i
$834$	−0.956690	+	0.929889i	−0.0331275	+	0.0321994i
$835$	10.6856	+	5.16489i	0.369789	+	0.178738i
$836$	−34.2182	+	10.0529i	−1.18346	+	0.347688i
$837$	1.53252	−	0.242727i	0.0529716	−	0.00838988i
$838$	−31.0573	−	0.441200i	−1.07286	−	0.0152410i
$839$	−33.7226	+	24.5009i	−1.16423	+	0.845865i	−0.990307	−	0.138894i	$-0.955645\pi$
$839$	−33.7226	+	24.5009i	−1.16423	+	0.845865i	−0.173926	+	0.984759i	$0.555645\pi$
$840$	−1.95495	+	0.588800i	−0.0674523	+	0.0203155i
$841$	−23.1370	−	16.8100i	−0.797828	−	0.579656i
$842$	−22.1490	−	16.5780i	−0.763307	−	0.571315i
$843$	2.20902	−	2.20902i	0.0760828	−	0.0760828i
$844$	0.569297	−	20.0331i	0.0195960	−	0.689569i
$845$	−2.08243	−	5.97889i	−0.0716379	−	0.205680i
$846$	−28.2740	−	14.9160i	−0.972080	−	0.512821i
$847$	−25.6680	+	13.0785i	−0.881961	+	0.449382i
$848$	−19.4623	−	21.8099i	−0.668338	−	0.748956i
$849$		−	7.67915i		−	0.263548i
$850$	26.3329	−	27.8388i	0.903213	−	0.954865i
$851$		−	0.540660i		−	0.0185336i
$852$	−3.48235	+	6.37973i	−0.119303	+	0.218566i
$853$	36.9656	−	18.8349i	1.26568	−	0.644896i	0.313255	−	0.949669i	$-0.398581\pi$
$853$	36.9656	−	18.8349i	1.26568	−	0.644896i	0.952425	+	0.304773i	$0.0985806\pi$
$854$	−6.07722	+	11.5197i	−0.207958	+	0.394196i
$855$	5.28858	−	17.5201i	0.180866	−	0.599173i
$856$	22.8688	+	4.62848i	0.781641	+	0.158198i
$857$	13.9586	−	13.9586i	0.476815	−	0.476815i	−0.427296	−	0.904112i	$-0.640534\pi$
$857$	13.9586	−	13.9586i	0.476815	−	0.476815i	0.904112	+	0.427296i	$0.140534\pi$
$858$	−6.86760	+	9.17547i	−0.234456	+	0.313245i
$859$	37.0508	+	26.9190i	1.26416	+	0.918463i	0.998954	−	0.0457301i	$-0.0145614\pi$
$859$	37.0508	+	26.9190i	1.26416	+	0.918463i	0.265202	+	0.964193i	$0.414561\pi$
$860$	1.82344	+	12.0921i	0.0621788	+	0.412339i
$861$	0.465738	−	0.338378i	0.0158723	−	0.0115319i
$862$	0.0691621	−	4.86851i	0.00235567	−	0.165822i
$863$	22.6053	−	3.58032i	0.769493	−	0.121876i	0.240669	−	0.970607i	$-0.422633\pi$
$863$	22.6053	−	3.58032i	0.769493	−	0.121876i	0.528824	+	0.848732i	$0.322633\pi$
$864$	−10.4877	−	2.43467i	−0.356799	−	0.0828292i
$865$	−5.76886	+	42.1307i	−0.196147	+	1.43249i
$866$	23.6857	+	24.3684i	0.804873	+	0.828071i
$867$	−1.81270	+	3.55762i	−0.0615625	+	0.120823i
$868$	−0.698652	−	1.47320i	−0.0237138	−	0.0500037i
$869$	104.508	−	33.9566i	3.54518	−	1.15190i
$870$	−0.0967957	+	0.639218i	−0.00328168	+	0.0216715i
$871$	55.6582	+	18.0845i	1.88591	+	0.612768i
$872$	−0.586658	+	13.7581i	−0.0198667	+	0.465908i
$873$	−1.36191	−	0.215705i	−0.0460935	−	0.00730050i
$874$	−4.05572	+	23.4462i	−0.137187	+	0.793080i
$875$	7.39233	−	8.38770i	0.249906	−	0.283556i
$876$	2.21193	−	6.20231i	0.0747343	−	0.209557i
$877$	−2.20596	+	13.9279i	−0.0744898	+	0.470310i	0.922041	+	0.387091i	$0.126520\pi$
$877$	−2.20596	+	13.9279i	−0.0744898	+	0.470310i	−0.996531	+	0.0832191i	$0.973480\pi$
$878$	0.714143	+	2.30900i	0.0241012	+	0.0779251i
$879$	1.61717	−	4.97715i	0.0545459	−	0.167875i
$880$	−44.4376	−	34.7840i	−1.49799	−	1.17257i
$881$	13.0447	+	40.1474i	0.439486	+	1.35260i	0.888419	+	0.459033i	$0.151804\pi$
$881$	13.0447	+	40.1474i	0.439486	+	1.35260i	−0.448933	+	0.893565i	$0.648196\pi$
$882$	−3.34699	+	2.35983i	−0.112699	+	0.0794596i
$883$	−40.9907	−	20.8858i	−1.37945	−	0.702863i	−0.402316	−	0.915501i	$-0.631795\pi$
$883$	−40.9907	−	20.8858i	−1.37945	−	0.702863i	−0.977131	+	0.212638i	$0.931795\pi$
$884$	−35.5949	+	24.3470i	−1.19719	+	0.818879i
$885$	−9.50339	−	1.30128i	−0.319453	−	0.0437420i
$886$	11.1902	+	22.7554i	0.375942	+	0.764483i
$887$	−2.69008	−	16.9845i	−0.0903241	−	0.570284i	−0.990795	−	0.135368i	$-0.956778\pi$
$887$	−2.69008	−	16.9845i	−0.0903241	−	0.570284i	0.900471	−	0.434916i	$-0.143222\pi$
$888$	−0.0777039	−	0.0289622i	−0.00260757	−	0.000971907i
$889$	0.666129	+	0.916848i	0.0223412	+	0.0307501i
$890$	13.7560	+	41.3780i	0.461101	+	1.38699i
$891$	29.9388	−	41.2072i	1.00299	−	1.38049i
$892$	−7.98827	+	7.54680i	−0.267467	+	0.252686i
$893$	15.6001	+	15.6001i	0.522039	+	0.522039i
$894$	−0.622517	−	4.32740i	−0.0208201	−	0.144730i
$895$	37.1991	+	11.2289i	1.24343	+	0.375340i
$896$	0.651810	+	11.2949i	0.0217754	+	0.377337i
$897$	3.47143	+	6.81306i	0.115908	+	0.227481i
$898$	25.5907	+	8.71871i	0.853973	+	0.290947i
$899$	−0.516290			−0.0172192
$900$	27.4165	−	9.32181i	0.913882	−	0.310727i
$901$	−39.6028			−1.31936
$902$	15.0617	+	5.13150i	0.501501	+	0.170860i
$903$	−0.400755	−	0.786526i	−0.0133363	−	0.0261739i
$904$	−27.0009	−	29.4062i	−0.898037	−	0.978035i
$905$	−10.4980	+	3.65643i	−0.348966	+	0.121544i
$906$	0.441748	+	3.07079i	0.0146761	+	0.102020i
$907$	−35.7256	−	35.7256i	−1.18625	−	1.18625i	−0.978096	−	0.208152i	$-0.933255\pi$
$907$	−35.7256	−	35.7256i	−1.18625	−	1.18625i	−0.208152	−	0.978096i	$-0.566745\pi$
$908$	−14.6743	−	15.5327i	−0.486984	−	0.515471i
$909$	1.47326	−	2.02778i	0.0488651	−	0.0672571i
$910$	−10.1288	+	7.46466i	−0.335767	+	0.247451i
$911$	23.0304	+	31.6986i	0.763031	+	1.05022i	0.996956	+	0.0779671i	$0.0248429\pi$
$911$	23.0304	+	31.6986i	0.763031	+	1.05022i	−0.233925	+	0.972255i	$0.575157\pi$
$912$	3.15245	+	1.83886i	0.104388	+	0.0608908i
$913$	4.98810	+	31.4936i	0.165082	+	1.04229i
$914$	−2.92971	−	5.95761i	−0.0969063	−	0.197060i
$915$	−2.89309	+	5.98547i	−0.0956425	+	0.197874i
$916$	−13.1043	−	19.1583i	−0.432979	−	0.633007i
$917$	9.70650	+	4.94571i	0.320537	+	0.163322i
$918$	−11.9215	+	8.40540i	−0.393470	+	0.277420i
$919$	−4.10147	−	12.6230i	−0.135295	−	0.416396i	0.860341	−	0.509719i	$-0.170251\pi$
$919$	−4.10147	−	12.6230i	−0.135295	−	0.416396i	−0.995636	+	0.0933239i	$0.970251\pi$
$920$	−33.9084	+	16.3638i	−1.11793	+	0.539499i
$921$	0.170960	−	0.526161i	0.00563332	−	0.0173376i
$922$	−13.7315	−	44.3975i	−0.452224	−	1.46215i
$923$	−7.00698	+	44.2404i	−0.230638	+	1.45619i
$924$	3.83688	+	1.36835i	0.126224	+	0.0450153i
$925$	0.445134	−	0.0898050i	0.0146359	−	0.00295277i
$926$	1.94134	−	11.2229i	0.0637964	−	0.368809i
$927$	−0.722819	−	0.114483i	−0.0237405	−	0.00376013i
$928$	3.32000	+	1.34605i	0.108984	+	0.0441863i
$929$	−13.9631	−	4.53687i	−0.458113	−	0.148850i	0.0708640	−	0.997486i	$-0.477424\pi$
$929$	−13.9631	−	4.53687i	−0.458113	−	0.148850i	−0.528977	+	0.848636i	$0.677424\pi$
$930$	−0.382854	−	0.738940i	−0.0125543	−	0.0242308i
$931$	2.68798	−	0.873378i	0.0880950	−	0.0286238i
$932$	19.1274	−	9.07101i	0.626540	−	0.297131i
$933$	2.37982	−	4.67065i	0.0779117	−	0.152910i
$934$	22.1910	+	22.8306i	0.726113	+	0.747041i
$935$	−75.2467	+	13.5432i	−2.46083	+	0.442911i
$936$	−32.3757	+	3.72214i	−1.05823	+	0.121662i
$937$	27.2855	−	4.32159i	0.891377	−	0.141180i	0.306086	−	0.952004i	$-0.400980\pi$
$937$	27.2855	−	4.32159i	0.891377	−	0.141180i	0.585291	+	0.810823i	$0.300980\pi$
$938$	0.295465	−	20.7986i	0.00964728	−	0.679099i
$939$	−8.82644	+	6.41278i	−0.288040	+	0.209273i
$940$	−5.71639	+	34.4379i	−0.186448	+	1.12324i
$941$	−3.93537	−	2.85922i	−0.128290	−	0.0932078i	0.521790	−	0.853074i	$-0.325264\pi$
$941$	−3.93537	−	2.85922i	−0.128290	−	0.0932078i	−0.650080	+	0.759866i	$0.725264\pi$
$942$	−5.85639	+	7.82444i	−0.190811	+	0.254934i
$943$	7.50667	−	7.50667i	0.244451	−	0.244451i
$944$	−19.2694	+	49.5369i	−0.627165	+	1.61229i
$945$	−3.38979	+	2.57328i	−0.110270	+	0.0837088i
$946$	11.3845	−	21.5800i	0.370143	−	0.701627i
$947$	4.66413	−	2.37649i	0.151564	−	0.0772256i	−0.376564	−	0.926391i	$-0.622894\pi$
$947$	4.66413	−	2.37649i	0.151564	−	0.0772256i	0.528127	+	0.849165i	$0.322894\pi$
$948$	−9.87008	−	5.38755i	−0.320565	−	0.174980i
$949$		−	40.5807i		−	1.31730i
$950$	−19.9773	+	0.555341i	−0.648150	+	0.0180176i
$951$			1.22097i			0.0395927i
$952$	12.0055	+	9.52970i	0.389102	+	0.308859i
$953$	−7.13024	+	3.63304i	−0.230971	+	0.117686i	−0.565646	−	0.824648i	$-0.691373\pi$
$953$	−7.13024	+	3.63304i	−0.230971	+	0.117686i	0.334675	+	0.942333i	$0.391373\pi$
$954$	−26.4696	−	13.9641i	−0.856986	−	0.452103i
$955$	30.8049	+	21.4075i	0.996824	+	0.692731i
$956$	37.1822	+	1.05663i	1.20256	+	0.0341740i
$957$	0.912098	−	0.912098i	0.0294839	−	0.0294839i
$958$	−24.3674	−	18.2384i	−0.787276	−	0.589256i
$959$	−3.05523	−	2.21975i	−0.0986584	−	0.0716796i
$960$	0.535406	+	5.74992i	0.0172801	+	0.185578i
$961$	−24.5418	+	17.8307i	−0.791672	+	0.575184i
$962$	−0.510992	−	0.00725916i	−0.0164751	−	0.000234045i
$963$	23.5941	−	3.73694i	0.760309	−	0.120421i
$964$	0.432970	+	1.47374i	0.0139450	+	0.0474661i
$965$	8.02386	−	8.36811i	0.258297	−	0.269379i
$966$	1.94888	−	1.89428i	0.0627040	−	0.0609474i
$967$	21.6709	−	42.5316i	0.696890	−	1.36772i	−0.222717	−	0.974883i	$-0.571492\pi$
$967$	21.6709	−	42.5316i	0.696890	−	1.36772i	0.919607	−	0.392840i	$-0.128508\pi$
$968$	21.8547	+	78.4952i	0.702438	+	2.52293i
$969$	4.70250	−	1.52793i	0.151066	−	0.0490843i
$970$	0.245653	+	1.48560i	0.00788744	+	0.0476999i
$971$	−3.91500	−	1.27206i	−0.125638	−	0.0408224i	0.245523	−	0.969391i	$-0.421040\pi$
$971$	−3.91500	−	1.27206i	−0.125638	−	0.0408224i	−0.371161	+	0.928568i	$0.621040\pi$
$972$	−16.4944	+	2.13412i	−0.529059	+	0.0684520i
$973$	2.88634	+	0.457151i	0.0925317	+	0.0146556i
$974$	−9.88869	−	1.71054i	−0.316854	−	0.0548093i
$975$	−5.03269	+	3.98975i	−0.161175	+	0.127774i
$976$	28.5253	+	23.3108i	0.913074	+	0.746160i
$977$	1.85601	−	11.7184i	0.0593790	−	0.374904i	−0.940048	−	0.341043i	$-0.889220\pi$
$977$	1.85601	−	11.7184i	0.0593790	−	0.374904i	0.999427	−	0.0338609i	$-0.0107803\pi$
$978$	2.52020	−	0.779463i	0.0805871	−	0.0249245i
$979$	26.8843	−	82.7415i	0.859227	−	2.64443i
$980$	3.59845	+	2.65540i	0.114948	+	0.0848236i
$981$	4.35669	+	13.4085i	0.139098	+	0.428101i
$982$	7.31385	+	10.3734i	0.233394	+	0.331028i
$983$	−39.7634	−	20.2604i	−1.26825	−	0.646208i	−0.315205	−	0.949024i	$-0.602073\pi$
$983$	−39.7634	−	20.2604i	−1.26825	−	0.646208i	−0.953049	+	0.302816i	$0.902073\pi$
$984$	−0.676745	−	1.48098i	−0.0215738	−	0.0472120i
$985$	−2.10937	+	1.13118i	−0.0672103	+	0.0360425i
$986$	4.35548	−	2.14185i	0.138707	−	0.0682104i
$987$	−0.394201	−	2.48889i	−0.0125476	−	0.0792222i
$988$	22.1052	+	4.14797i	0.703261	+	0.131965i
$989$	−9.56818	−	13.1695i	−0.304250	−	0.418765i
$990$	−55.0687	−	17.4802i	−1.75020	−	0.555558i
$991$	−11.8005	+	16.2420i	−0.374855	+	0.515944i	−0.954212	−	0.299130i	$-0.903304\pi$
$991$	−11.8005	+	16.2420i	−0.374855	+	0.515944i	0.579357	+	0.815074i	$0.303304\pi$
$992$	−4.47603	+	1.11024i	−0.142114	+	0.0352501i
$993$	−0.219686	−	0.219686i	−0.00697152	−	0.00697152i
$994$	15.7582	−	2.26689i	0.499820	−	0.0719014i
$995$	−0.458935	−	21.8527i	−0.0145492	−	0.692776i
$996$	1.99213	−	2.58424i	0.0631229	−	0.0818846i
$997$	22.6461	+	44.4455i	0.717210	+	1.40760i	0.905007	+	0.425396i	$0.139865\pi$
$997$	22.6461	+	44.4455i	0.717210	+	1.40760i	−0.187797	+	0.982208i	$0.560135\pi$
$998$	−5.34448	+	15.6868i	−0.169177	+	0.496558i
$999$	−0.172857			−0.00546896

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	700.2.bj.a.323.34	✓	720
4.3	odd	2	inner	700.2.bj.a.323.46	yes	720
25.12	odd	20	inner	700.2.bj.a.687.46	yes	720
100.87	even	20	inner	700.2.bj.a.687.34	yes	720

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
700.2.bj.a.323.34	✓	720	1.1	even	1	trivial
700.2.bj.a.323.46	yes	720	4.3	odd	2	inner
700.2.bj.a.687.34	yes	720	100.87	even	20	inner
700.2.bj.a.687.46	yes	720	25.12	odd	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 700 = 2^{2} \cdot 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	700.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.456077 + 1.33865i) q^{2} +(0.146558 + 0.287635i) q^{3} +(-1.58399 - 1.22106i) q^{4} +(0.0469500 + 2.23558i) q^{5} +(-0.451886 + 0.0650059i) q^{6} +(0.707107 + 0.707107i) q^{7} +(2.35699 - 1.56351i) q^{8} +(1.70210 - 2.34274i) q^{9} +O(q^{10})\)	\(q+(-0.456077 + 1.33865i) q^{2} +(0.146558 + 0.287635i) q^{3} +(-1.58399 - 1.22106i) q^{4} +(0.0469500 + 2.23558i) q^{5} +(-0.451886 + 0.0650059i) q^{6} +(0.707107 + 0.707107i) q^{7} +(2.35699 - 1.56351i) q^{8} +(1.70210 - 2.34274i) q^{9} +(-3.01407 - 0.956745i) q^{10} +(3.70854 + 5.10437i) q^{11} +(0.119074 - 0.634566i) q^{12} +(-0.622432 - 3.92988i) q^{13} +(-1.26907 + 0.624076i) q^{14} +(-0.636150 + 0.341145i) q^{15} +(1.01803 + 3.86828i) q^{16} +(4.82861 + 2.46030i) q^{17} +(2.35983 + 3.34699i) q^{18} +(-0.873378 - 2.68798i) q^{19} +(2.65540 - 3.59845i) q^{20} +(-0.0997571 + 0.307021i) q^{21} +(-8.52436 + 2.63647i) q^{22} +(-0.931263 + 5.87977i) q^{23} +(0.795158 + 0.448810i) q^{24} +(-4.99559 + 0.209921i) q^{25} +(5.54463 + 0.959107i) q^{26} +(1.87985 + 0.297739i) q^{27} +(-0.256630 - 1.98347i) q^{28} +(-0.602306 - 0.195701i) q^{29} +(-0.166542 - 1.00717i) q^{30} +(0.775335 - 0.251921i) q^{31} +(-5.64259 - 0.401442i) q^{32} +(-0.924682 + 1.81479i) q^{33} +(-5.49570 + 5.34175i) q^{34} +(-1.54759 + 1.61399i) q^{35} +(-5.55673 + 1.63251i) q^{36} +(-0.0897023 + 0.0142075i) q^{37} +(3.99660 + 0.0567757i) q^{38} +(1.03915 - 0.754987i) q^{39} +(3.60601 + 5.19583i) q^{40} +(-1.44271 - 1.04819i) q^{41} +(-0.365498 - 0.273565i) q^{42} +(-1.93355 + 1.93355i) q^{43} +(0.358450 - 12.6136i) q^{44} +(5.31729 + 3.69518i) q^{45} +(-7.44624 - 3.92827i) q^{46} +(-6.95512 + 3.54381i) q^{47} +(-0.963455 + 0.859749i) q^{48} +1.00000i q^{49} +(1.99736 - 6.78311i) q^{50} +1.74945i q^{51} +(-3.81269 + 6.98491i) q^{52} +(-6.51126 + 3.31766i) q^{53} +(-1.25593 + 2.38068i) q^{54} +(-11.2371 + 8.53037i) q^{55} +(2.77222 + 0.561076i) q^{56} +(0.645159 - 0.645159i) q^{57} +(0.536674 - 0.717024i) q^{58} +(10.7504 + 7.81060i) q^{59} +(1.42421 + 0.236407i) q^{60} +(7.45078 - 5.41331i) q^{61} +(-0.0163767 + 1.15280i) q^{62} +(2.86013 - 0.453001i) q^{63} +(3.11085 - 7.37039i) q^{64} +(8.75632 - 1.57600i) q^{65} +(-2.00765 - 2.06551i) q^{66} +(-6.67744 + 13.1052i) q^{67} +(-4.64428 - 9.79309i) q^{68} +(-1.82771 + 0.593860i) q^{69} +(-1.45475 - 2.80779i) q^{70} +(-10.7065 - 3.47874i) q^{71} +(0.348934 - 8.18309i) q^{72} +(10.0735 + 1.59548i) q^{73} +(0.0218923 - 0.126560i) q^{74} +(-0.792523 - 1.40614i) q^{75} +(-1.89876 + 5.32417i) q^{76} +(-0.986999 + 6.23167i) q^{77} +(0.536734 + 1.73540i) q^{78} +(5.38196 - 16.5640i) q^{79} +(-8.60004 + 2.45750i) q^{80} +(-2.49468 - 7.67782i) q^{81} +(2.06116 - 1.45324i) q^{82} +(4.50298 + 2.29438i) q^{83} +(0.532904 - 0.364508i) q^{84} +(-5.27348 + 10.9102i) q^{85} +(-1.70651 - 3.47020i) q^{86} +(-0.0319819 - 0.201926i) q^{87} +(16.7218 + 6.23261i) q^{88} +(-8.10497 - 11.1555i) q^{89} +(-7.37166 + 5.43272i) q^{90} +(2.33872 - 3.21897i) q^{91} +(8.65465 - 8.17635i) q^{92} +(0.186093 + 0.186093i) q^{93} +(-1.57186 - 10.9267i) q^{94} +(5.96818 - 2.07870i) q^{95} +(-0.711496 - 1.68184i) q^{96} +(-0.216176 - 0.424269i) q^{97} +(-1.33865 - 0.456077i) q^{98} +18.2705 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 720 q+O(q^{10}) \) 720 * q	\( 720 q + 16 q^{10} + 16 q^{12} + 4 q^{13} + 20 q^{17} - 28 q^{18} - 20 q^{20} - 4 q^{22} + 20 q^{25} + 4 q^{30} - 20 q^{37} - 64 q^{40} - 80 q^{42} - 140 q^{44} - 20 q^{45} - 236 q^{48} - 40 q^{50} - 16 q^{52} + 44 q^{53} - 260 q^{54} + 16 q^{57} - 136 q^{58} - 140 q^{60} - 140 q^{62} - 4 q^{65} - 80 q^{68} - 80 q^{72} - 52 q^{73} + 76 q^{78} + 20 q^{80} + 180 q^{81} + 24 q^{82} - 80 q^{85} + 160 q^{88} - 260 q^{89} + 16 q^{90} + 256 q^{92} - 112 q^{93} + 320 q^{94} - 40 q^{96} - 20 q^{97}+O(q^{100}) \) 720 * q + 16 * q^10 + 16 * q^12 + 4 * q^13 + 20 * q^17 - 28 * q^18 - 20 * q^20 - 4 * q^22 + 20 * q^25 + 4 * q^30 - 20 * q^37 - 64 * q^40 - 80 * q^42 - 140 * q^44 - 20 * q^45 - 236 * q^48 - 40 * q^50 - 16 * q^52 + 44 * q^53 - 260 * q^54 + 16 * q^57 - 136 * q^58 - 140 * q^60 - 140 * q^62 - 4 * q^65 - 80 * q^68 - 80 * q^72 - 52 * q^73 + 76 * q^78 + 20 * q^80 + 180 * q^81 + 24 * q^82 - 80 * q^85 + 160 * q^88 - 260 * q^89 + 16 * q^90 + 256 * q^92 - 112 * q^93 + 320 * q^94 - 40 * q^96 - 20 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more