LMFDB - Embedded newform 570.2.bi.a.233.25

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(17,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([18, 9, 20]))

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

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

chi := DirichletCharacter("570.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.bi (of order $36$, degree $12$, 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:	$4.55147291521$
Analytic rank:	$0$
Dimension:	$480$
Relative dimension:	$40$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			233.25
Character	$\chi$	$=$	570.233
Dual form			570.2.bi.a.137.25

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.906308 + 0.422618i) q^{2} +(-1.16115 + 1.28520i) q^{3} +(0.642788 + 0.766044i) q^{4} +(0.318772 - 2.21323i) q^{5} +(-1.59551 + 0.674060i) q^{6} +(-2.88072 - 0.771887i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.303459 - 2.98461i) q^{9} +O(q^{10})$	\(q+(0.906308 + 0.422618i) q^{2} +(-1.16115 + 1.28520i) q^{3} +(0.642788 + 0.766044i) q^{4} +(0.318772 - 2.21323i) q^{5} +(-1.59551 + 0.674060i) q^{6} +(-2.88072 - 0.771887i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.303459 - 2.98461i) q^{9} +(1.22426 - 1.87115i) q^{10} +(-4.54257 - 2.62265i) q^{11} +(-1.73089 - 0.0633846i) q^{12} +(-3.61286 + 5.15970i) q^{13} +(-2.28461 - 1.91701i) q^{14} +(2.47429 + 2.97958i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-1.82468 - 0.850862i) q^{17} +(0.986324 - 2.83323i) q^{18} +(-3.51804 - 2.57359i) q^{19} +(1.90033 - 1.17844i) q^{20} +(4.33698 - 2.80601i) q^{21} +(-3.00859 - 4.29671i) q^{22} +(-0.294768 + 3.36921i) q^{23} +(-1.54193 - 0.788952i) q^{24} +(-4.79677 - 1.41103i) q^{25} +(-5.45495 + 3.14942i) q^{26} +(4.18817 + 3.07558i) q^{27} +(-1.26039 - 2.70292i) q^{28} +(4.14994 + 1.51045i) q^{29} +(0.983247 + 3.74609i) q^{30} +(-1.72653 - 2.99044i) q^{31} +(-0.573576 + 0.819152i) q^{32} +(8.64524 - 2.79280i) q^{33} +(-1.29413 - 1.54229i) q^{34} +(-2.62665 + 6.12964i) q^{35} +(2.09129 - 2.15094i) q^{36} +(3.88883 - 3.88883i) q^{37} +(-2.10078 - 3.81926i) q^{38} +(-2.43615 - 10.6344i) q^{39} +(2.22032 - 0.264916i) q^{40} +(8.88378 + 1.56645i) q^{41} +(5.11651 - 0.710228i) q^{42} +(-0.503043 - 5.74981i) q^{43} +(-0.910838 - 5.16562i) q^{44} +(-6.70237 - 0.279786i) q^{45} +(-1.69104 + 2.92897i) q^{46} +(3.97239 + 8.51881i) q^{47} +(-1.06404 - 1.36668i) q^{48} +(1.64056 + 0.947179i) q^{49} +(-3.75102 - 3.30603i) q^{50} +(3.21225 - 1.35709i) q^{51} +(-6.27487 + 0.548980i) q^{52} +(0.925908 - 10.5832i) q^{53} +(2.49598 + 4.55742i) q^{54} +(-7.25258 + 9.21772i) q^{55} -2.98234i q^{56} +(7.39255 - 1.53304i) q^{57} +(3.12278 + 3.12278i) q^{58} +(-4.19415 + 1.52654i) q^{59} +(-0.692044 + 3.81065i) q^{60} +(-8.74677 + 7.33941i) q^{61} +(-0.300954 - 3.43992i) q^{62} +(-1.42960 + 8.83207i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(10.2679 + 9.64087i) q^{65} +(9.01553 + 1.12250i) q^{66} +(-8.67420 + 4.04485i) q^{67} +(-0.521083 - 1.94471i) q^{68} +(-3.98783 - 4.29100i) q^{69} +(-4.97105 + 4.44527i) q^{70} +(-1.24794 + 1.48724i) q^{71} +(2.80437 - 1.06559i) q^{72} +(10.8787 - 7.61738i) q^{73} +(5.16797 - 1.88099i) q^{74} +(7.38322 - 4.52637i) q^{75} +(-0.289865 - 4.34925i) q^{76} +(11.0615 + 11.0615i) q^{77} +(2.28640 - 10.6676i) q^{78} +(-6.95672 - 1.22666i) q^{79} +(2.12425 + 0.698252i) q^{80} +(-8.81583 + 1.81142i) q^{81} +(7.38943 + 5.17413i) q^{82} +(-3.36984 - 0.902946i) q^{83} +(4.93729 + 1.51864i) q^{84} +(-2.46481 + 3.76720i) q^{85} +(1.97406 - 5.42369i) q^{86} +(-6.75993 + 3.57962i) q^{87} +(1.35759 - 5.06658i) q^{88} +(-1.58210 - 8.97253i) q^{89} +(-5.95616 - 3.08611i) q^{90} +(14.3904 - 12.0749i) q^{91} +(-2.77044 + 1.93988i) q^{92} +(5.84806 + 1.25342i) q^{93} +9.39947i q^{94} +(-6.81741 + 6.96584i) q^{95} +(-0.386763 - 1.68832i) q^{96} +(-5.58514 + 11.9774i) q^{97} +(1.08656 + 1.55177i) q^{98} +(-6.44912 + 14.3537i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 480 q+O(q^{10}) $ 480 * q	$ 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) $ 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{8}{9}\right)$	$e\left(\frac{3}{4}\right)$

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 $

$2$	0.906308	+	0.422618i	0.640856	+	0.298836i
$2$	0.906308	+	0.422618i	0.640856	+	0.298836i
$3$	−1.16115	+	1.28520i	−0.670391	+	0.742008i
$3$	−1.16115	+	1.28520i	−0.670391	+	0.742008i
$4$	0.642788	+	0.766044i	0.321394	+	0.383022i
$5$	0.318772	−	2.21323i	0.142559	−	0.989786i
$5$	0.318772	−	2.21323i	0.142559	−	0.989786i
$6$	−1.59551	+	0.674060i	−0.651363	+	0.275184i
$7$	−2.88072	−	0.771887i	−1.08881	−	0.291746i	−0.330610	−	0.943768i	$-0.607254\pi$
$7$	−2.88072	−	0.771887i	−1.08881	−	0.291746i	−0.758200	+	0.652022i	$0.773921\pi$
$8$	0.258819	+	0.965926i	0.0915064	+	0.341506i
$9$	−0.303459	−	2.98461i	−0.101153	−	0.994871i
$10$	1.22426	−	1.87115i	0.387144	−	0.591709i
$11$	−4.54257	−	2.62265i	−1.36964	−	0.790760i	−0.378755	−	0.925497i	$-0.623648\pi$
$11$	−4.54257	−	2.62265i	−1.36964	−	0.790760i	−0.990881	+	0.134737i	$0.956981\pi$
$12$	−1.73089	−	0.0633846i	−0.499665	−	0.0182976i
$13$	−3.61286	+	5.15970i	−1.00203	+	1.43104i	−0.102219	+	0.994762i	$0.532594\pi$
$13$	−3.61286	+	5.15970i	−1.00203	+	1.43104i	−0.899810	+	0.436283i	$0.856295\pi$
$14$	−2.28461	−	1.91701i	−0.610587	−	0.512343i
$15$	2.47429	+	2.97958i	0.638860	+	0.769323i
$16$	−0.173648	+	0.984808i	−0.0434120	+	0.246202i
$17$	−1.82468	−	0.850862i	−0.442550	−	0.206364i	0.188554	−	0.982063i	$-0.439620\pi$
$17$	−1.82468	−	0.850862i	−0.442550	−	0.206364i	−0.631104	+	0.775698i	$0.717398\pi$
$18$	0.986324	−	2.83323i	0.232479	−	0.667798i
$19$	−3.51804	−	2.57359i	−0.807094	−	0.590423i
$19$	−3.51804	−	2.57359i	−0.807094	−	0.590423i
$20$	1.90033	−	1.17844i	0.424928	−	0.263508i
$21$	4.33698	−	2.80601i	0.946406	−	0.612323i
$22$	−3.00859	−	4.29671i	−0.641433	−	0.916061i
$23$	−0.294768	+	3.36921i	−0.0614634	+	0.702530i	0.901479	+	0.432823i	$0.142482\pi$
$23$	−0.294768	+	3.36921i	−0.0614634	+	0.702530i	−0.962942	+	0.269707i	$0.913073\pi$
$24$	−1.54193	−	0.788952i	−0.314746	−	0.161044i
$25$	−4.79677	−	1.41103i	−0.959354	−	0.282206i
$26$	−5.45495	+	3.14942i	−1.06980	+	0.617652i
$27$	4.18817	+	3.07558i	0.806015	+	0.591896i
$28$	−1.26039	−	2.70292i	−0.238192	−	0.510804i
$29$	4.14994	+	1.51045i	0.770624	+	0.280484i	0.697257	−	0.716821i	$-0.254403\pi$
$29$	4.14994	+	1.51045i	0.770624	+	0.280484i	0.0733667	+	0.997305i	$0.476626\pi$
$30$	0.983247	+	3.74609i	0.179516	+	0.683940i
$31$	−1.72653	−	2.99044i	−0.310094	−	0.537099i	0.668288	−	0.743902i	$-0.267027\pi$
$31$	−1.72653	−	2.99044i	−0.310094	−	0.537099i	−0.978382	+	0.206804i	$0.933694\pi$
$32$	−0.573576	+	0.819152i	−0.101395	+	0.144807i
$33$	8.64524	−	2.79280i	1.50494	−	0.486164i
$34$	−1.29413	−	1.54229i	−0.221942	−	0.264500i
$35$	−2.62665	+	6.12964i	−0.443986	+	1.03610i
$36$	2.09129	−	2.15094i	0.348548	−	0.358489i
$37$	3.88883	−	3.88883i	0.639320	−	0.639320i	−0.311068	−	0.950388i	$-0.600687\pi$
$37$	3.88883	−	3.88883i	0.639320	−	0.639320i	0.950388	+	0.311068i	$0.100687\pi$
$38$	−2.10078	−	3.81926i	−0.340791	−	0.619565i
$39$	−2.43615	−	10.6344i	−0.390097	−	1.70287i
$40$	2.22032	−	0.264916i	0.351063	−	0.0418869i
$41$	8.88378	+	1.56645i	1.38741	+	0.244638i	0.816961	−	0.576692i	$-0.195657\pi$
$41$	8.88378	+	1.56645i	1.38741	+	0.244638i	0.570452	+	0.821331i	$0.306768\pi$
$42$	5.11651	−	0.710228i	0.789494	−	0.109591i
$43$	−0.503043	−	5.74981i	−0.0767134	−	0.876838i	−0.932892	−	0.360157i	$-0.882723\pi$
$43$	−0.503043	−	5.74981i	−0.0767134	−	0.876838i	0.856178	−	0.516681i	$-0.172833\pi$
$44$	−0.910838	−	5.16562i	−0.137314	−	0.778747i
$45$	−6.70237	−	0.279786i	−0.999130	−	0.0417080i
$46$	−1.69104	+	2.92897i	−0.249331	+	0.431853i
$47$	3.97239	+	8.51881i	0.579432	+	1.24260i	0.949551	+	0.313612i	$0.101539\pi$
$47$	3.97239	+	8.51881i	0.579432	+	1.24260i	−0.370119	+	0.928984i	$0.620683\pi$
$48$	−1.06404	−	1.36668i	−0.153581	−	0.197264i
$49$	1.64056	+	0.947179i	0.234366	+	0.135311i
$50$	−3.75102	−	3.30603i	−0.530475	−	0.467543i
$51$	3.21225	−	1.35709i	0.449805	−	0.190031i
$52$	−6.27487	+	0.548980i	−0.870168	+	0.0761298i
$53$	0.925908	−	10.5832i	0.127183	−	1.45371i	−0.617646	−	0.786456i	$-0.711914\pi$
$53$	0.925908	−	10.5832i	0.127183	−	1.45371i	0.744830	−	0.667255i	$-0.232531\pi$
$54$	2.49598	+	4.55742i	0.339660	+	0.620186i
$55$	−7.25258	+	9.21772i	−0.977938	+	1.24292i
$56$		−	2.98234i		−	0.398532i
$57$	7.39255	−	1.53304i	0.979167	−	0.203056i
$58$	3.12278	+	3.12278i	0.410041	+	0.410041i
$59$	−4.19415	+	1.52654i	−0.546031	+	0.198739i	−0.600282	−	0.799788i	$-0.704945\pi$
$59$	−4.19415	+	1.52654i	−0.546031	+	0.198739i	0.0542510	+	0.998527i	$0.482723\pi$
$60$	−0.692044	+	3.81065i	−0.0893425	+	0.491953i
$61$	−8.74677	+	7.33941i	−1.11991	+	0.939715i	−0.998600	−	0.0529000i	$-0.983154\pi$
$61$	−8.74677	+	7.33941i	−1.11991	+	0.939715i	−0.121309	+	0.992615i	$0.538709\pi$
$62$	−0.300954	−	3.43992i	−0.0382212	−	0.436870i
$63$	−1.42960	+	8.83207i	−0.180113	+	1.11274i
$64$	−0.866025	+	0.500000i	−0.108253	+	0.0625000i
$65$	10.2679	+	9.64087i	1.27358	+	1.19580i
$66$	9.01553	+	1.12250i	1.10974	+	0.138170i
$67$	−8.67420	+	4.04485i	−1.05972	+	0.494157i	−0.872729	−	0.488204i	$-0.837652\pi$
$67$	−8.67420	+	4.04485i	−1.05972	+	0.494157i	−0.186993	+	0.982361i	$0.559874\pi$
$68$	−0.521083	−	1.94471i	−0.0631906	−	0.235831i
$69$	−3.98783	−	4.29100i	−0.480079	−	0.516576i
$70$	−4.97105	+	4.44527i	−0.594155	+	0.531311i
$71$	−1.24794	+	1.48724i	−0.148104	+	0.176503i	−0.834996	−	0.550256i	$-0.814530\pi$
$71$	−1.24794	+	1.48724i	−0.148104	+	0.176503i	0.686892	+	0.726759i	$0.258974\pi$
$72$	2.80437	−	1.06559i	0.330499	−	0.125581i
$73$	10.8787	−	7.61738i	1.27326	−	0.891547i	0.275692	−	0.961246i	$-0.411093\pi$
$73$	10.8787	−	7.61738i	1.27326	−	0.891547i	0.997568	+	0.0696993i	$0.0222040\pi$
$74$	5.16797	−	1.88099i	0.600764	−	0.218660i
$75$	7.38322	−	4.52637i	0.852541	−	0.522660i
$76$	−0.289865	−	4.34925i	−0.0332498	−	0.498893i
$77$	11.0615	+	11.0615i	1.26057	+	1.26057i
$78$	2.28640	−	10.6676i	0.258884	−	1.20787i
$79$	−6.95672	−	1.22666i	−0.782692	−	0.138010i	−0.231997	−	0.972716i	$-0.574526\pi$
$79$	−6.95672	−	1.22666i	−0.782692	−	0.138010i	−0.550695	+	0.834707i	$0.685637\pi$
$80$	2.12425	+	0.698252i	0.237499	+	0.0780670i
$81$	−8.81583	+	1.81142i	−0.979536	+	0.201268i
$82$	7.38943	+	5.17413i	0.816026	+	0.571388i
$83$	−3.36984	−	0.902946i	−0.369888	−	0.0991112i	0.0690866	−	0.997611i	$-0.477992\pi$
$83$	−3.36984	−	0.902946i	−0.369888	−	0.0991112i	−0.438975	+	0.898499i	$0.644658\pi$
$84$	4.93729	+	1.51864i	0.538702	+	0.165698i
$85$	−2.46481	+	3.76720i	−0.267346	+	0.408611i
$86$	1.97406	−	5.42369i	0.212869	−	0.584852i
$87$	−6.75993	+	3.57962i	−0.724741	+	0.383776i
$88$	1.35759	−	5.06658i	0.144719	−	0.540099i
$89$	−1.58210	−	8.97253i	−0.167702	−	0.951087i	−0.946234	−	0.323482i	$-0.895147\pi$
$89$	−1.58210	−	8.97253i	−0.167702	−	0.951087i	0.778532	−	0.627605i	$-0.215965\pi$
$90$	−5.95616	−	3.08611i	−0.627835	−	0.325305i
$91$	14.3904	−	12.0749i	1.50852	−	1.26580i
$92$	−2.77044	+	1.93988i	−0.288838	+	0.202247i
$93$	5.84806	+	1.25342i	0.606416	+	0.129973i
$94$			9.39947i			0.969481i
$95$	−6.81741	+	6.96584i	−0.699451	+	0.714680i
$96$	−0.386763	−	1.68832i	−0.0394738	−	0.172313i
$97$	−5.58514	+	11.9774i	−0.567085	+	1.21612i	0.388513	+	0.921443i	$0.372989\pi$
$97$	−5.58514	+	11.9774i	−0.567085	+	1.21612i	−0.955598	+	0.294674i	$0.904789\pi$
$98$	1.08656	+	1.55177i	0.109759	+	0.156752i
$99$	−6.44912	+	14.3537i	−0.648161	+	1.44260i
$100$	−2.00239	−	4.58153i	−0.200239	−	0.458153i
$101$	2.30532	−	0.406489i	0.229387	−	0.0404472i	−0.0577728	−	0.998330i	$-0.518400\pi$
$101$	2.30532	−	0.406489i	0.229387	−	0.0404472i	0.287160	+	0.957883i	$0.407289\pi$
$102$	3.48482	+	0.127613i	0.345049	+	0.0126356i
$103$	2.25738	−	0.604862i	0.222426	−	0.0595989i	−0.145885	−	0.989302i	$-0.546603\pi$
$103$	2.25738	−	0.604862i	0.222426	−	0.0595989i	0.368311	+	0.929703i	$0.379936\pi$
$104$	−5.91897	−	2.15433i	−0.580403	−	0.211249i
$105$	−4.82785	−	10.4932i	−0.471150	−	1.02403i
$106$	5.31180	−	9.20031i	0.515928	−	0.893613i
$107$	−2.72847	+	10.1828i	−0.263771	+	0.984407i	0.699227	+	0.714900i	$0.253528\pi$
$107$	−2.72847	+	10.1828i	−0.263771	+	0.984407i	−0.962998	+	0.269508i	$0.913139\pi$
$108$	0.336076	+	5.18527i	0.0323389	+	0.498953i
$109$	3.14952	−	3.75346i	0.301670	−	0.359516i	−0.593820	−	0.804598i	$-0.702381\pi$
$109$	3.14952	−	3.75346i	0.301670	−	0.359516i	0.895490	+	0.445082i	$0.146825\pi$
$110$	−10.4686	+	5.28902i	−0.998146	+	0.504289i
$111$	0.482393	+	9.51343i	0.0457867	+	0.902975i
$112$	1.26039	−	2.70292i	0.119096	−	0.255402i
$113$	−6.59570	+	6.59570i	−0.620472	+	0.620472i	−0.945652	−	0.325180i	$-0.894575\pi$
$113$	−6.59570	+	6.59570i	−0.620472	+	0.620472i	0.325180	+	0.945652i	$0.394575\pi$
$114$	7.34782	+	1.73482i	0.688186	+	0.162481i
$115$	7.36288	+	1.72640i	0.686592	+	0.160988i
$116$	1.51045	+	4.14994i	0.140242	+	0.385312i
$117$	16.4961	+	9.21724i	1.52506	+	0.852134i
$118$	−4.44633	−	0.389004i	−0.409318	−	0.0358107i
$119$	4.59962	+	3.85954i	0.421647	+	0.353804i
$120$	−2.23766	+	3.16115i	−0.204269	+	0.288573i
$121$	8.25664	+	14.3009i	0.750603	+	1.30008i
$122$	−11.0290	+	2.95522i	−0.998521	+	0.267553i
$123$	−12.3286	+	9.59852i	−1.11163	+	0.865469i
$124$	1.18102	−	3.24482i	0.106058	−	0.291393i
$125$	−4.65201	+	10.1666i	−0.416088	+	0.909324i
$126$	−5.02825	+	7.40040i	−0.447952	+	0.659280i
$127$	−8.24692	−	5.77456i	−0.731796	−	0.512409i	0.147277	−	0.989095i	$-0.452949\pi$
$127$	−8.24692	−	5.77456i	−0.731796	−	0.512409i	−0.879074	+	0.476686i	$0.841838\pi$
$128$	−0.996195	+	0.0871557i	−0.0880520	+	0.00770355i
$129$	7.97375	+	6.02989i	0.702049	+	0.530902i
$130$	5.23150	+	13.0770i	0.458833	+	1.14693i
$131$	−6.58150	−	18.0825i	−0.575028	−	1.57988i	−0.796454	−	0.604699i	$-0.793293\pi$
$131$	−6.58150	−	18.0825i	−0.575028	−	1.57988i	0.221426	−	0.975177i	$-0.428929\pi$
$132$	7.69646	+	4.82746i	0.669891	+	0.420176i
$133$	8.14797	+	10.1293i	0.706518	+	0.878325i
$134$	−9.57092			−0.826802
$135$	8.14204	−	8.28898i	0.700755	−	0.713402i
$136$	0.349608	−	1.98272i	0.0299786	−	0.170017i
$137$	−3.36841	−	0.294698i	−0.287783	−	0.0251777i	−0.0576496	−	0.998337i	$-0.518361\pi$
$137$	−3.36841	−	0.294698i	−0.287783	−	0.0251777i	−0.230133	+	0.973159i	$0.573916\pi$
$138$	−1.80075	−	5.57430i	−0.153290	−	0.474516i
$139$	5.82449	−	1.02701i	0.494027	−	0.0871102i	0.0789163	−	0.996881i	$-0.474854\pi$
$139$	5.82449	−	1.02701i	0.494027	−	0.0871102i	0.415111	+	0.909771i	$0.363743\pi$
$140$	−6.38396	+	1.92792i	−0.539543	+	0.162939i
$141$	−15.5609	−	4.78633i	−1.31046	−	0.403081i
$142$	−1.75955	+	0.820494i	−0.147659	+	0.0688543i
$143$	29.9438	−	13.9630i	2.50403	−	1.16765i
$144$	2.99196	+	0.219424i	0.249330	+	0.0182853i
$145$	4.66586	−	8.70327i	0.387479	−	0.722768i
$146$	13.0787	−	2.30613i	1.08240	−	0.190857i
$147$	−3.12225	+	1.00863i	−0.257519	+	0.0831902i
$148$	5.47871	+	0.479325i	0.450347	+	0.0394003i
$149$	1.52277	−	8.63608i	0.124750	−	0.707495i	−0.856705	−	0.515806i	$-0.827492\pi$
$149$	1.52277	−	8.63608i	0.124750	−	0.707495i	0.981456	−	0.191689i	$-0.0613964\pi$
$150$	8.60440	−	0.982002i	0.702546	−	0.0801801i
$151$	3.43774			0.279759			0.139880	−	0.990169i	$-0.455328\pi$
$151$	3.43774			0.279759			0.139880	+	0.990169i	$0.455328\pi$
$152$	1.57537	−	4.06426i	0.127779	−	0.329655i
$153$	−1.98578	+	5.70416i	−0.160541	+	0.461154i
$154$	5.35032	+	14.6999i	0.431141	+	1.18455i
$155$	−7.16889	+	2.86794i	−0.575819	+	0.230359i
$156$	6.58052	−	8.70188i	0.526863	−	0.696708i
$157$	−15.1548	+	1.32588i	−1.20949	+	0.105816i	−0.674003	−	0.738729i	$-0.735427\pi$
$157$	−15.1548	+	1.32588i	−1.20949	+	0.105816i	−0.535485	+	0.844545i	$0.679871\pi$
$158$	−5.78652	−	4.05176i	−0.460351	−	0.322341i
$159$	12.5263	+	13.4786i	0.993403	+	1.06892i
$160$	1.63013	+	1.53058i	0.128873	+	0.121003i
$161$	3.44980	−	9.47824i	0.271882	−	0.746990i
$162$	−8.75539	−	2.08403i	−0.687888	−	0.163737i
$163$	−4.82847	+	1.29378i	−0.378195	+	0.101337i	−0.442908	−	0.896567i	$-0.646053\pi$
$163$	−4.82847	+	1.29378i	−0.378195	+	0.101337i	0.0647136	+	0.997904i	$0.479387\pi$
$164$	4.51041	+	7.81227i	0.352204	+	0.610036i
$165$	−3.42525	−	20.0242i	−0.266655	−	1.55888i
$166$	−2.67251	−	2.24250i	−0.207427	−	0.174052i
$167$	14.5258	+	1.27084i	1.12404	+	0.0983405i	0.633980	−	0.773350i	$-0.281420\pi$
$167$	14.5258	+	1.27084i	1.12404	+	0.0983405i	0.490057	+	0.871690i	$0.336976\pi$
$168$	3.83289	+	3.46295i	0.295714	+	0.267172i
$169$	−9.12350	−	25.0666i	−0.701808	−	1.92820i
$170$	−3.82597	+	2.37257i	−0.293438	+	0.181968i
$171$	−6.61360	+	11.2810i	−0.505755	+	0.862677i
$172$	4.08126	−	4.08126i	0.311193	−	0.311193i
$173$	0.538881	−	1.15563i	0.0409704	−	0.0878613i	−0.884757	−	0.466052i	$-0.845676\pi$
$173$	0.538881	−	1.15563i	0.0409704	−	0.0878613i	0.925728	+	0.378191i	$0.123454\pi$
$174$	−7.63939	+	0.387367i	−0.579141	+	0.0293662i
$175$	12.7290	+	7.76734i	0.962222	+	0.587156i
$176$	3.37162	−	4.01814i	0.254145	−	0.302879i
$177$	2.90813	−	7.16285i	0.218588	−	0.538393i
$178$	2.35809	−	8.80050i	0.176746	−	0.659625i
$179$	−2.67508	+	4.63337i	−0.199945	+	0.346314i	−0.948510	−	0.316747i	$-0.897410\pi$
$179$	−2.67508	+	4.63337i	−0.199945	+	0.346314i	0.748566	+	0.663061i	$0.230743\pi$
$180$	−4.09387	−	5.31415i	−0.305139	−	0.396094i
$181$	−15.1461	−	5.51273i	−1.12580	−	0.409758i	−0.289034	−	0.957319i	$-0.593334\pi$
$181$	−15.1461	−	5.51273i	−1.12580	−	0.409758i	−0.836766	+	0.547561i	$0.815556\pi$
$182$	18.1452	−	4.86199i	1.34501	−	0.360395i
$183$	0.723731	−	19.7635i	0.0534998	−	1.46096i
$184$	−3.33070	+	0.587293i	−0.245543	+	0.0432958i
$185$	−7.36723	−	9.84653i	−0.541649	−	0.723931i
$186$	4.77043	+	3.60748i	0.349785	+	0.264513i
$187$	6.05722	+	8.65061i	0.442948	+	0.632595i
$188$	−3.97239	+	8.51881i	−0.289716	+	0.621298i
$189$	−9.69096	−	12.0927i	−0.704914	−	0.879613i
$190$	−9.12256	+	3.43204i	−0.661820	+	0.248986i
$191$		−	21.6744i		−	1.56830i	−0.620569	−	0.784152i	$-0.713098\pi$
$191$		−	21.6744i		−	1.56830i	0.620569	−	0.784152i	$-0.286902\pi$
$192$	0.362988	−	1.69359i	0.0261964	−	0.122224i
$193$	−4.61139	+	3.22893i	−0.331935	+	0.232423i	−0.727648	−	0.685951i	$-0.759386\pi$
$193$	−4.61139	+	3.22893i	−0.331935	+	0.232423i	0.395713	+	0.918374i	$0.370498\pi$
$194$	−10.1237	+	8.49480i	−0.726840	+	0.609891i
$195$	−24.3130	+	2.00181i	−1.74109	+	0.143353i
$196$	0.328952	+	1.86558i	0.0234966	+	0.133256i
$197$	3.66471	−	13.6769i	0.261100	−	0.974438i	−0.703494	−	0.710701i	$-0.748378\pi$
$197$	3.66471	−	13.6769i	0.261100	−	0.974438i	0.964594	−	0.263738i	$-0.0849553\pi$
$198$	−11.9110	+	10.2833i	−0.846479	+	0.730805i
$199$	1.09449	−	3.00709i	0.0775864	−	0.213167i	−0.894835	−	0.446396i	$-0.852707\pi$
$199$	1.09449	−	3.00709i	0.0775864	−	0.213167i	0.972422	+	0.233230i	$0.0749294\pi$
$200$	0.121455	−	4.99852i	0.00858816	−	0.353449i
$201$	4.87363	−	15.8447i	0.343760	−	1.11760i
$202$	2.26112	+	0.605864i	0.159092	+	0.0426284i
$203$	−10.7889	−	7.55448i	−0.757233	−	0.530220i
$204$	3.10439	+	1.58841i	0.217351	+	0.111211i
$205$	6.29881	−	19.1625i	0.439928	−	1.33837i
$206$	2.30150	+	0.405817i	0.160353	+	0.0282746i
$207$	10.1453	−	0.142650i	0.705144	−	0.00991487i
$208$	−4.45395	−	4.45395i	−0.308826	−	0.308826i
$209$	9.23130	+	20.9173i	0.638542	+	1.44688i
$210$	0.0591012	−	11.5504i	0.00407837	−	0.797054i
$211$	−6.54194	+	2.38107i	−0.450366	+	0.163920i	−0.557238	−	0.830353i	$-0.688139\pi$
$211$	−6.54194	+	2.38107i	−0.450366	+	0.163920i	0.106872	+	0.994273i	$0.465916\pi$
$212$	8.70234	−	6.09345i	0.597679	−	0.418500i
$213$	−0.462346	−	3.33076i	−0.0316794	−	0.228220i
$214$	−6.77626	+	8.07564i	−0.463216	+	0.552039i
$215$	−12.8860	−	0.719527i	−0.878819	−	0.0490713i
$216$	−1.88680	+	4.84148i	−0.128381	+	0.329421i
$217$	2.66537	+	9.94730i	0.180937	+	0.675267i
$218$	4.44072	−	2.07074i	0.300763	−	0.140248i
$219$	−2.84203	+	22.8262i	−0.192047	+	1.54245i
$220$	−11.7231	+	0.369240i	−0.790368	+	0.0248942i
$221$	10.9825	−	6.34076i	0.738764	−	0.426526i
$222$	−3.58335	+	8.82597i	−0.240499	+	0.592360i
$223$	0.988260	+	11.2959i	0.0661788	+	0.756427i	0.954696	+	0.297583i	$0.0961807\pi$
$223$	0.988260	+	11.2959i	0.0661788	+	0.756427i	−0.888517	+	0.458844i	$0.848264\pi$
$224$	2.28461	−	1.91701i	0.152647	−	0.128086i
$225$	−2.75575	+	14.7447i	−0.183717	+	0.982979i
$226$	−8.76520	+	3.19027i	−0.583053	+	0.212214i
$227$	6.24355	+	6.24355i	0.414399	+	0.414399i	0.883268	−	0.468869i	$-0.155338\pi$
$227$	6.24355	+	6.24355i	0.414399	+	0.414399i	−0.468869	+	0.883268i	$0.655338\pi$
$228$	5.92622	+	4.67760i	0.392473	+	0.309782i
$229$			9.89106i			0.653620i	0.945090	+	0.326810i	$0.105974\pi$
$229$			9.89106i			0.653620i	−0.945090	+	0.326810i	$0.894026\pi$
$230$	5.94343	+	4.67634i	0.391898	+	0.308349i
$231$	−27.0602	+	1.37213i	−1.78043	+	0.0902796i
$232$	−0.384903	+	4.39947i	−0.0252701	+	0.288839i
$233$	−13.5367	+	1.18431i	−0.886817	+	0.0775865i	−0.521455	−	0.853279i	$-0.674611\pi$
$233$	−13.5367	+	1.18431i	−0.886817	+	0.0775865i	−0.365363	+	0.930865i	$0.619055\pi$
$234$	11.0551	+	15.3252i	0.722698	+	1.00184i
$235$	20.1204	−	6.07625i	1.31251	−	0.396371i
$236$	−3.86535	−	2.23166i	−0.251613	−	0.145269i
$237$	9.65429	−	7.51641i	0.627113	−	0.488243i
$238$	2.53756	+	5.44182i	0.164486	+	0.352741i
$239$	7.13591	−	12.3598i	0.461583	−	0.799486i	−0.537457	−	0.843291i	$-0.680615\pi$
$239$	7.13591	−	12.3598i	0.461583	−	0.799486i	0.999040	+	0.0438055i	$0.0139482\pi$
$240$	−3.36397	+	1.91930i	−0.217143	+	0.123891i
$241$	2.30887	+	13.0942i	0.148727	+	0.843475i	0.964298	+	0.264818i	$0.0853118\pi$
$241$	2.30887	+	13.0942i	0.148727	+	0.843475i	−0.815571	+	0.578657i	$0.803577\pi$
$242$	1.43923	+	16.4504i	0.0925170	+	1.05747i
$243$	7.90848	−	13.4334i	0.507329	−	0.861752i
$244$	−11.2446	−	1.98273i	−0.719863	−	0.126931i
$245$	2.61929	−	3.32901i	0.167340	−	0.212682i
$246$	−15.2300	+	3.48892i	−0.971031	+	0.222445i
$247$	25.9892	−	8.85400i	1.65365	−	0.563367i
$248$	2.44168	−	2.44168i	0.155047	−	0.155047i
$249$	5.07335	−	3.28245i	0.321511	−	0.208017i
$250$	−8.51272	+	7.24800i	−0.538392	+	0.458404i
$251$	12.7462	+	15.1904i	0.804534	+	0.958807i	0.999759	−	0.0219517i	$-0.00698801\pi$
$251$	12.7462	+	15.1904i	0.804534	+	0.958807i	−0.195225	+	0.980759i	$0.562544\pi$
$252$	−7.68469	+	4.58201i	−0.484090	+	0.288639i
$253$	10.1753	−	14.5318i	0.639715	−	0.913608i
$254$	−5.03382	−	8.71883i	−0.315850	−	0.547068i
$255$	−1.97958	−	7.54206i	−0.123966	−	0.472302i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	−1.54234	−	3.30755i	−0.0962083	−	0.206319i	0.852313	−	0.523031i	$-0.175199\pi$
$257$	−1.54234	−	3.30755i	−0.0962083	−	0.206319i	−0.948522	+	0.316712i	$0.897421\pi$
$258$	4.67833	+	8.83478i	0.291260	+	0.550030i
$259$	−14.2044	+	8.20090i	−0.882617	+	0.509579i
$260$	−0.785232	+	14.0627i	−0.0486980	+	0.872133i
$261$	3.24878	−	12.8443i	0.201095	−	0.795043i
$262$	1.67714	−	19.1698i	0.103614	−	1.18431i
$263$	−5.12716	−	7.32234i	−0.316154	−	0.451515i	0.629351	−	0.777121i	$-0.283321\pi$
$263$	−5.12716	−	7.32234i	−0.316154	−	0.451515i	−0.945506	+	0.325606i	$0.894432\pi$
$264$	4.93519	+	7.62783i	0.303740	+	0.469460i
$265$	−23.1278	−	5.42286i	−1.42073	−	0.333124i
$266$	3.10372	+	12.6238i	0.190302	+	0.774013i
$267$	13.3685	+	8.38515i	0.818140	+	0.513163i
$268$	−8.67420	−	4.04485i	−0.529861	−	0.247078i
$269$	−1.30023	+	7.37396i	−0.0792763	+	0.449598i	0.919169	+	0.393863i	$0.128861\pi$
$269$	−1.30023	+	7.37396i	−0.0792763	+	0.449598i	−0.998446	+	0.0557354i	$0.982250\pi$
$270$	10.8823	−	4.07140i	0.662274	−	0.247777i
$271$	−2.96649	−	2.48918i	−0.180202	−	0.151207i	0.548225	−	0.836331i	$-0.315304\pi$
$271$	−2.96649	−	2.48918i	−0.180202	−	0.151207i	−0.728427	+	0.685124i	$0.759748\pi$
$272$	1.15479	−	1.64921i	0.0700193	−	0.0999979i
$273$	−1.19070	+	32.5153i	−0.0720643	+	1.96791i
$274$	−2.92827	−	1.69064i	−0.176903	−	0.102135i
$275$	18.0890	+	18.9900i	1.09081	+	1.14514i
$276$	0.723768	−	5.81306i	0.0435657	−	0.349905i
$277$	−4.86254	−	18.1472i	−0.292162	−	1.09036i	−0.943446	−	0.331528i	$-0.892436\pi$
$277$	−4.86254	−	18.1472i	−0.292162	−	1.09036i	0.651284	−	0.758834i	$-0.274231\pi$
$278$	5.71282	+	1.53074i	0.342632	+	0.0918079i
$279$	−8.40137	+	6.06050i	−0.502977	+	0.362833i
$280$	−6.60061	−	0.950686i	−0.394462	−	0.0568144i
$281$	10.8277	+	12.9040i	0.645928	+	0.769787i	0.985294	−	0.170867i	$-0.0546569\pi$
$281$	10.8277	+	12.9040i	0.645928	+	0.769787i	−0.339366	+	0.940655i	$0.610212\pi$
$282$	−12.0802	−	10.9142i	−0.719363	−	0.649931i
$283$	−20.8301	−	9.71324i	−1.23822	−	0.577392i	−0.310468	−	0.950584i	$-0.600486\pi$
$283$	−20.8301	−	9.71324i	−1.23822	−	0.577392i	−0.927754	+	0.373191i	$0.878263\pi$
$284$	−1.94145			−0.115204
$285$	−1.03644	−	16.8501i	−0.0613933	−	0.998114i
$286$	33.0393			1.95366
$287$	−24.3826	−	11.3698i	−1.43926	−	0.671137i
$288$	2.61891	+	1.46332i	0.154321	+	0.0862272i
$289$	−8.32190	−	9.91765i	−0.489523	−	0.583391i
$290$	7.90687	−	5.91597i	0.464307	−	0.347398i
$291$	−8.90808	−	21.0855i	−0.522201	−	1.23606i
$292$	12.8280	+	3.43724i	0.750700	+	0.201150i
$293$	−6.05403	−	22.5939i	−0.353680	−	1.31995i	−0.882138	−	0.470992i	$-0.843896\pi$
$293$	−6.05403	−	22.5939i	−0.353680	−	1.31995i	0.528458	−	0.848960i	$-0.322771\pi$
$294$	−3.25599	−	0.405394i	−0.189893	−	0.0236430i
$295$	2.04162	+	9.76923i	0.118868	+	0.568786i
$296$	4.76283	+	2.74982i	0.276834	+	0.159830i
$297$	−10.9589	−	24.9552i	−0.635900	−	1.44805i
$298$	5.02987	−	7.18339i	0.291372	−	0.416123i
$299$	−16.3192	−	13.6934i	−0.943763	−	0.791912i
$300$	8.21325	+	2.74638i	0.474192	+	0.158562i
$301$	−2.98908	+	16.9519i	−0.172287	+	0.977091i
$302$	3.11565	+	1.45285i	0.179285	+	0.0836022i
$303$	−2.15440	+	3.43478i	−0.123767	+	0.197323i
$304$	3.14540	−	3.01769i	0.180401	−	0.173077i
$305$	13.4556	+	21.6982i	0.770464	+	1.24243i
$306$	−4.21041	+	4.33050i	−0.240693	+	0.247558i
$307$	−1.79793	−	2.56772i	−0.102614	−	0.146547i	0.764562	−	0.644551i	$-0.222956\pi$
$307$	−1.79793	−	2.56772i	−0.102614	−	0.146547i	−0.867175	+	0.498003i	$0.834067\pi$
$308$	−1.36340	+	15.5838i	−0.0776871	+	0.887968i
$309$	−1.84379	+	3.60351i	−0.104889	+	0.204996i
$310$	−7.70927	−	0.430469i	−0.437857	−	0.0244490i
$311$	−4.79978	+	2.77115i	−0.272171	+	0.157138i	−0.629874	−	0.776698i	$-0.716893\pi$
$311$	−4.79978	+	2.77115i	−0.272171	+	0.157138i	0.357703	+	0.933835i	$0.383560\pi$
$312$	9.64155	−	5.10554i	0.545845	−	0.289044i
$313$	14.2212	+	30.4975i	0.803832	+	1.72382i	0.682099	+	0.731260i	$0.261067\pi$
$313$	14.2212	+	30.4975i	0.803832	+	1.72382i	0.121733	+	0.992563i	$0.461155\pi$
$314$	−14.2953	−	5.20306i	−0.806730	−	0.293626i
$315$	19.0917	+	5.97945i	1.07569	+	0.336904i
$316$	−3.53202	−	6.11763i	−0.198691	−	0.344144i
$317$	1.35401	−	1.93373i	0.0760490	−	0.108609i	−0.779326	−	0.626619i	$-0.784438\pi$
$317$	1.35401	−	1.93373i	0.0760490	−	0.108609i	0.855375	+	0.518010i	$0.173327\pi$
$318$	5.65640	+	17.5096i	0.317195	+	0.981892i
$319$	−14.8900	−	17.7452i	−0.833679	−	0.993540i
$320$	0.830550	+	2.07610i	0.0464292	+	0.116057i
$321$	−9.91872	−	15.3304i	−0.553609	−	0.855658i
$322$	7.13225	−	7.13225i	0.397465	−	0.397465i
$323$	4.22952	+	7.68935i	0.235337	+	0.427847i
$324$	−7.05433	−	5.58896i	−0.391907	−	0.310498i
$325$	24.6106	−	19.6521i	1.36515	−	1.09010i
$326$	−4.92285	−	0.868032i	−0.272652	−	0.0480758i
$327$	1.16686	+	8.40609i	0.0645274	+	0.464858i
$328$	0.786217	+	8.98650i	0.0434116	+	0.496197i
$329$	−4.86778	−	27.6065i	−0.268369	−	1.52200i
$330$	5.35824	−	19.5956i	0.294962	−	1.07870i
$331$	−4.03310	+	6.98554i	−0.221679	+	0.383960i	−0.955318	−	0.295580i	$-0.904487\pi$
$331$	−4.03310	+	6.98554i	−0.221679	+	0.383960i	0.733639	+	0.679540i	$0.237820\pi$
$332$	−1.47439	−	3.16185i	−0.0809179	−	0.173529i
$333$	−12.7868	−	10.4266i	−0.700710	−	0.571372i
$334$	12.6277	+	7.29062i	0.690958	+	0.398925i
$335$	6.18708	+	20.4874i	0.338037	+	1.11935i
$336$	2.01028	+	4.75835i	0.109670	+	0.259589i
$337$	−13.9443	+	1.21997i	−0.759594	+	0.0664558i	−0.460370	−	0.887727i	$-0.652283\pi$
$337$	−13.9443	+	1.21997i	−0.759594	+	0.0664558i	−0.299224	+	0.954183i	$0.596728\pi$
$338$	2.32491	−	26.5738i	0.126458	−	1.44543i
$339$	−0.818170	−	16.1354i	−0.0444369	−	0.876354i
$340$	−4.47020	+	0.533359i	−0.242430	+	0.0289254i
$341$			18.1124i			0.980840i
$342$	−10.7615	+	7.42900i	−0.581915	+	0.401714i
$343$	10.7669	+	10.7669i	0.581361	+	0.581361i
$344$	5.42369	−	1.97406i	0.292426	−	0.106434i
$345$	−10.7682	+	7.45814i	−0.579739	+	0.401533i
$346$	0.976785	−	0.819620i	0.0525123	−	0.0440630i
$347$	−0.0818066	−	0.935054i	−0.00439161	−	0.0501963i	0.993683	−	0.112226i	$-0.0357981\pi$
$347$	−0.0818066	−	0.935054i	−0.00439161	−	0.0501963i	−0.998074	+	0.0620299i	$0.980243\pi$
$348$	−7.08735	−	2.87747i	−0.379922	−	0.154249i
$349$	7.28582	−	4.20647i	0.390001	−	0.225167i	−0.292160	−	0.956370i	$-0.594374\pi$
$349$	7.28582	−	4.20647i	0.390001	−	0.225167i	0.682161	+	0.731202i	$0.261041\pi$
$350$	8.25377	+	12.4191i	0.441182	+	0.663829i
$351$	−31.0004	+	10.4981i	−1.65468	+	0.560347i
$352$	4.75386	−	2.21676i	0.253382	−	0.118154i
$353$	3.20242	+	11.9516i	0.170447	+	0.636119i	0.997282	+	0.0736740i	$0.0234724\pi$
$353$	3.20242	+	11.9516i	0.170447	+	0.636119i	−0.826835	+	0.562445i	$0.809861\pi$
$354$	5.66281	−	5.26272i	0.300975	−	0.279710i
$355$	2.89379	+	3.23607i	0.153587	+	0.171753i
$356$	5.85641	−	6.97939i	0.310389	−	0.369907i
$357$	−10.3011	+	1.42991i	−0.545193	+	0.0756788i
$358$	−4.38259	+	3.06872i	−0.231627	+	0.162187i
$359$	20.5893	−	7.49391i	1.08666	−	0.395513i	0.264280	−	0.964446i	$-0.414866\pi$
$359$	20.5893	−	7.49391i	1.08666	−	0.395513i	0.822384	+	0.568933i	$0.192644\pi$
$360$	−1.46445	−	6.54640i	−0.0771832	−	0.345026i
$361$	5.75322	+	18.1080i	0.302801	+	0.953054i
$362$	−11.3972	−	11.3972i	−0.599026	−	0.599026i
$363$	−27.9667	−	5.99411i	−1.46787	−	0.314609i
$364$	18.4999	+	3.26203i	0.969658	+	0.170977i
$365$	−13.3912	−	26.5054i	−0.700926	−	1.38735i
$366$	9.00833	−	17.6059i	0.470873	−	0.920276i
$367$	2.82549	+	1.97843i	0.147489	+	0.103273i	0.644992	−	0.764189i	$-0.276861\pi$
$367$	2.82549	+	1.97843i	0.147489	+	0.103273i	−0.497503	+	0.867462i	$0.665750\pi$
$368$	−3.26684	−	0.875348i	−0.170296	−	0.0456307i
$369$	1.97938	−	26.9900i	0.103043	−	1.40504i
$370$	−2.51565	−	12.0375i	−0.130783	−	0.625800i
$371$	−10.8363	+	29.7725i	−0.562592	+	1.54571i
$372$	2.79889	+	5.28556i	0.145116	+	0.274043i
$373$	8.27400	−	30.8790i	0.428411	−	1.59885i	−0.327947	−	0.944696i	$-0.606357\pi$
$373$	8.27400	−	30.8790i	0.428411	−	1.59885i	0.756359	−	0.654157i	$-0.226977\pi$
$374$	1.83380	+	10.4000i	0.0948236	+	0.537771i
$375$	−7.66434	−	17.7836i	−0.395785	−	0.918343i
$376$	−7.20041	+	6.04186i	−0.371333	+	0.311585i
$377$	−22.7867	+	15.9554i	−1.17357	+	0.821744i
$378$	−3.67241	−	15.0553i	−0.188888	−	0.774359i
$379$			11.3542i			0.583228i	0.956536	+	0.291614i	$0.0941922\pi$
$379$			11.3542i			0.583228i	−0.956536	+	0.291614i	$0.905808\pi$
$380$	−9.71829	−	0.744880i	−0.498538	−	0.0382115i
$381$	16.9974	−	3.89378i	0.870801	−	0.199485i
$382$	9.15999	−	19.6437i	0.468666	−	1.00506i
$383$	0.368435	+	0.526180i	0.0188262	+	0.0268865i	0.828455	−	0.560056i	$-0.189220\pi$
$383$	0.368435	+	0.526180i	0.0188262	+	0.0268865i	−0.809629	+	0.586942i	$0.800331\pi$
$384$	1.04472	−	1.38151i	0.0533131	−	0.0704997i
$385$	28.0077	−	20.9555i	1.42740	−	1.06799i
$386$	−5.54394	+	0.977546i	−0.282179	+	0.0497558i
$387$	−17.0083	+	3.24622i	−0.864581	+	0.165015i
$388$	−12.7653	+	3.42044i	−0.648058	+	0.173647i
$389$	−4.84457	−	1.76328i	−0.245629	−	0.0894018i	0.216272	−	0.976333i	$-0.430610\pi$
$389$	−4.84457	−	1.76328i	−0.245629	−	0.0894018i	−0.461901	+	0.886931i	$0.652833\pi$
$390$	−22.8811	−	8.46087i	−1.15863	−	0.428433i
$391$	3.40459	−	5.89693i	0.172178	−	0.298221i
$392$	−0.490296	+	1.82981i	−0.0247637	+	0.0924194i
$393$	30.8817	+	12.5380i	1.55778	+	0.632459i
$394$	9.10146	−	10.8467i	0.458525	−	0.546449i
$395$	−4.93248	+	15.0058i	−0.248180	+	0.755023i
$396$	−15.1410	+	4.28605i	−0.760863	+	0.215382i
$397$	−15.3779	+	32.9781i	−0.771797	+	1.65512i	−0.0163919	+	0.999866i	$0.505218\pi$
$397$	−15.3779	+	32.9781i	−0.771797	+	1.65512i	−0.755405	+	0.655258i	$0.772560\pi$
$398$	2.26280	−	2.26280i	0.113424	−	0.113424i
$399$	−22.4792	−	1.28994i	−1.12537	−	0.0645780i
$400$	2.22254	−	4.47887i	0.111127	−	0.223944i
$401$	−6.98171	−	19.1821i	−0.348650	−	0.957908i	−0.982796	−	0.184695i	$-0.940870\pi$
$401$	−6.98171	−	19.1821i	−0.348650	−	0.957908i	0.634146	−	0.773213i	$-0.281352\pi$
$402$	11.1133	−	12.3005i	0.554280	−	0.613494i
$403$	21.6675	+	1.89566i	1.07933	+	0.0944296i
$404$	1.79322	+	1.50469i	0.0892159	+	0.0748610i
$405$	1.19884	+	20.0889i	0.0595710	+	0.998224i
$406$	−6.58541	−	11.4063i	−0.326829	−	0.566084i
$407$	−27.8644	+	7.46623i	−1.38119	+	0.370087i
$408$	2.14224	+	2.75156i	0.106057	+	0.136222i
$409$	2.33415	−	6.41301i	0.115416	−	0.317103i	−0.868512	−	0.495668i	$-0.834923\pi$
$409$	2.33415	−	6.41301i	0.115416	−	0.317103i	0.983928	+	0.178565i	$0.0571455\pi$
$410$	13.8071	−	14.7051i	0.681883	−	0.726235i
$411$	4.28998	−	3.98688i	0.211609	−	0.196658i
$412$	1.91437	+	1.34045i	0.0943140	+	0.0660394i
$413$	13.2605	−	1.16014i	0.652506	−	0.0570869i
$414$	9.25501	+	4.15828i	0.454859	+	0.204368i
$415$	−3.07264	+	7.17040i	−0.150830	+	0.351981i
$416$	−2.15433	−	5.91897i	−0.105625	−	0.290201i
$417$	−5.44319	+	8.67813i	−0.266554	+	0.424970i
$418$	−0.473652	+	22.8589i	−0.0231671	+	1.11806i
$419$	6.76793			0.330635			0.165318	−	0.986240i	$-0.447135\pi$
$419$	6.76793			0.330635			0.165318	+	0.986240i	$0.447135\pi$
$420$	4.93498	−	10.4432i	0.240802	−	0.509578i
$421$	0.526979	−	2.98865i	0.0256834	−	0.145658i	−0.969269	−	0.246002i	$-0.920883\pi$
$421$	0.526979	−	2.98865i	0.0256834	−	0.145658i	0.994953	+	0.100344i	$0.0319943\pi$
$422$	−6.93529	−	0.606759i	−0.337605	−	0.0295366i
$423$	24.2199	−	14.4411i	1.17761	−	0.702153i
$424$	10.4622	−	1.84477i	0.508090	−	0.0895899i
$425$	7.55198	+	6.65607i	0.366325	+	0.322867i
$426$	0.988612	−	3.21409i	0.0478984	−	0.155723i
$427$	30.8622	−	14.3913i	1.49353	−	0.696442i
$428$	−9.55429	+	4.45524i	−0.461824	+	0.215352i
$429$	−16.8240	+	54.6969i	−0.812272	+	2.64079i
$430$	−11.3746	−	6.09798i	−0.548532	−	0.294071i
$431$	39.1867	−	6.90968i	1.88756	−	0.332828i	0.894179	−	0.447709i	$-0.147760\pi$
$431$	39.1867	−	6.90968i	1.88756	−	0.332828i	0.993379	+	0.114881i	$0.0366488\pi$
$432$	−3.75612	+	3.59048i	−0.180717	+	0.172747i
$433$	12.8114	+	1.12085i	0.615674	+	0.0538645i	0.390727	−	0.920506i	$-0.372224\pi$
$433$	12.8114	+	1.12085i	0.615674	+	0.0538645i	0.224947	+	0.974371i	$0.427779\pi$
$434$	−1.78826	+	10.1418i	−0.0858394	+	0.486820i
$435$	5.76765	+	16.1024i	0.276537	+	0.772049i
$436$	4.89979			0.234657
$437$	9.70800	−	11.0944i	0.464397	−	0.530718i
$438$	−12.2225	+	19.4865i	−0.584016	+	0.931101i
$439$	0.696102	+	1.91253i	0.0332232	+	0.0912799i	0.955195	−	0.295977i	$-0.0956450\pi$
$439$	0.696102	+	1.91253i	0.0332232	+	0.0912799i	−0.921972	+	0.387256i	$0.873423\pi$
$440$	−10.7807	−	4.61973i	−0.513952	−	0.220237i
$441$	2.32912	−	5.18387i	0.110910	−	0.246851i
$442$	12.6333	−	1.10527i	0.600903	−	0.0525722i
$443$	−29.8684	−	20.9141i	−1.41909	−	0.993659i	−0.996165	−	0.0874952i	$-0.972114\pi$
$443$	−29.8684	−	20.9141i	−1.41909	−	0.993659i	−0.422927	−	0.906164i	$-0.638997\pi$
$444$	−6.97764	+	6.48465i	−0.331144	+	0.307748i
$445$	−20.3626	+	0.641360i	−0.965280	+	0.0304034i
$446$	−3.87817	+	10.6552i	−0.183637	+	0.504538i
$447$	9.33089	+	11.9848i	0.441336	+	0.566864i
$448$	2.88072	−	0.771887i	0.136101	−	0.0364682i
$449$	−14.9035	−	25.8136i	−0.703338	−	1.21822i	−0.967288	−	0.253681i	$-0.918359\pi$
$449$	−14.9035	−	25.8136i	−0.703338	−	1.21822i	0.263950	−	0.964536i	$-0.414975\pi$
$450$	−8.72894	+	12.1986i	−0.411486	+	0.575047i
$451$	−36.2470	−	30.4148i	−1.70680	−	1.43218i
$452$	−9.29224	−	0.812966i	−0.437070	−	0.0382387i
$453$	−3.99173	+	4.41817i	−0.187548	+	0.207584i
$454$	3.01994	+	8.29722i	0.141733	+	0.389408i
$455$	−22.1374	−	35.6983i	−1.03782	−	1.67356i
$456$	3.39414	+	6.74387i	0.158945	+	0.315811i
$457$	−7.39630	+	7.39630i	−0.345984	+	0.345984i	−0.858611	−	0.512627i	$-0.828672\pi$
$457$	−7.39630	+	7.39630i	−0.345984	+	0.345984i	0.512627	+	0.858611i	$0.328672\pi$
$458$	−4.18014	+	8.96434i	−0.195325	+	0.418876i
$459$	−5.02518	−	9.17551i	−0.234555	−	0.428276i
$460$	3.41027	+	6.75000i	0.159005	+	0.314720i
$461$	−13.7098	+	16.3386i	−0.638527	+	0.760967i	−0.984137	−	0.177412i	$-0.943228\pi$
$461$	−13.7098	+	16.3386i	−0.638527	+	0.760967i	0.345610	+	0.938378i	$0.387672\pi$
$462$	−25.1048	−	10.1926i	−1.16798	−	0.474201i
$463$	2.27632	−	8.49534i	0.105789	−	0.394812i	−0.892644	−	0.450762i	$-0.851152\pi$
$463$	2.27632	−	8.49534i	0.105789	−	0.394812i	0.998434	+	0.0559505i	$0.0178189\pi$
$464$	−2.20814	+	3.82460i	−0.102510	+	0.177553i
$465$	4.63830	−	12.5435i	0.215096	−	0.581693i
$466$	−12.7689	−	4.64750i	−0.591508	−	0.215291i
$467$	−11.3002	+	3.02788i	−0.522910	+	0.140113i	−0.510612	−	0.859811i	$-0.670581\pi$
$467$	−11.3002	+	3.02788i	−0.522910	+	0.140113i	−0.0122978	+	0.999924i	$0.503915\pi$
$468$	3.54266	+	18.5615i	0.163759	+	0.858004i
$469$	28.1101	−	4.95657i	1.29800	−	0.228873i
$470$	20.8032	+	2.99629i	0.959579	+	0.138208i
$471$	15.8930	−	21.0165i	0.732312	−	0.968388i
$472$	−2.56005	−	3.65614i	−0.117836	−	0.168287i
$473$	−12.7947	+	27.4382i	−0.588299	+	1.26161i
$474$	11.9263	−	2.73210i	0.547794	−	0.125490i
$475$	13.2438	+	17.3090i	0.607668	+	0.794191i
$476$			6.00438i			0.275210i
$477$	−31.8677	+	0.448084i	−1.45912	+	0.0205164i
$478$	11.6908	−	8.18597i	0.534724	−	0.374418i
$479$	12.2537	−	10.2821i	0.559887	−	0.469801i	−0.318386	−	0.947961i	$-0.603141\pi$
$479$	12.2537	−	10.2821i	0.559887	−	0.469801i	0.878272	+	0.478161i	$0.158696\pi$
$480$	−3.85992	+	0.317807i	−0.176181	+	0.0145058i
$481$	6.01540	+	34.1150i	0.274279	+	1.55551i
$482$	−3.44132	+	12.8432i	−0.156748	+	0.584991i
$483$	8.17566	+	15.4393i	0.372006	+	0.702514i
$484$	−5.64787	+	15.5174i	−0.256721	+	0.705336i
$485$	24.7283	+	16.1792i	1.12285	+	0.734662i
$486$	12.8447	−	8.83252i	0.582648	−	0.400651i
$487$	−10.4626	−	2.80344i	−0.474105	−	0.127036i	0.0138515	−	0.999904i	$-0.495591\pi$
$487$	−10.4626	−	2.80344i	−0.474105	−	0.127036i	−0.487956	+	0.872868i	$0.662257\pi$
$488$	−9.35315	−	6.54915i	−0.423397	−	0.296466i
$489$	3.94381	−	7.70781i	0.178345	−	0.348559i
$490$	3.78078	−	1.91015i	0.170798	−	0.0862916i
$491$	24.0307	+	4.23726i	1.08449	+	0.191225i	0.687200	−	0.726468i	$-0.258840\pi$
$491$	24.0307	+	4.23726i	1.08449	+	0.191225i	0.397290	+	0.917693i	$0.369951\pi$
$492$	−15.2776	−	3.27445i	−0.688766	−	0.147624i
$493$	−6.28712	−	6.28712i	−0.283158	−	0.283158i
$494$	27.2961	+	2.95906i	1.22811	+	0.133134i
$495$	29.7122	+	18.8489i	1.33546	+	0.847197i
$496$	3.24482	−	1.18102i	0.145697	−	0.0530292i
$497$	4.74295	−	3.32105i	0.212751	−	0.148970i
$498$	5.98524	−	0.830818i	0.268205	−	0.0372298i
$499$	−13.6561	+	16.2747i	−0.611332	+	0.728558i	−0.979554	−	0.201180i	$-0.935522\pi$
$499$	−13.6561	+	16.2747i	−0.611332	+	0.728558i	0.368222	+	0.929738i	$0.379967\pi$
$500$	−10.7783	+	2.97129i	−0.482020	+	0.132880i
$501$	−18.4999	+	17.1928i	−0.826513	+	0.768118i
$502$	5.13228	+	19.1539i	0.229065	+	0.854882i
$503$	29.9654	−	13.9731i	1.33609	−	0.623029i	0.382450	−	0.923976i	$-0.375080\pi$
$503$	29.9654	−	13.9731i	1.33609	−	0.623029i	0.953641	+	0.300947i	$0.0973027\pi$
$504$	−8.90113	+	0.905018i	−0.396488	+	0.0403127i
$505$	−0.164785	−	5.23177i	−0.00733283	−	0.232811i
$506$	15.3634	−	8.87004i	0.682985	−	0.394321i
$507$	42.8093	+	17.3806i	1.90123	+	0.771901i
$508$	−0.877452	−	10.0293i	−0.0389306	−	0.444979i
$509$	−24.7885	+	20.8000i	−1.09873	+	0.921945i	−0.997339	−	0.0729014i	$-0.976774\pi$
$509$	−24.7885	+	20.8000i	−1.09873	+	0.921945i	−0.101392	+	0.994847i	$0.532330\pi$
$510$	1.39330	−	7.67203i	0.0616963	−	0.339723i
$511$	−37.2184	+	13.5464i	−1.64644	+	0.599256i
$512$	−0.707107	−	0.707107i	−0.0312500	−	0.0312500i
$513$	−6.81887	−	21.5987i	−0.301061	−	0.953605i
$514$		−	3.64948i		−	0.160972i
$515$	−0.619111	−	5.18891i	−0.0272813	−	0.228651i
$516$	0.506263	+	9.98418i	0.0222870	+	0.439529i
$517$	4.29705	−	49.1155i	0.188984	−	2.16010i
$518$	−16.3394	+	1.42951i	−0.717911	+	0.0628091i
$519$	0.859495	+	2.03443i	0.0377276	+	0.0893017i
$520$	−6.65482	+	12.4133i	−0.291833	+	0.544359i
$521$	28.8289	+	16.6444i	1.26302	+	0.729204i	0.973657	−	0.228016i	$-0.0732239\pi$
$521$	28.8289	+	16.6444i	1.26302	+	0.729204i	0.289361	+	0.957220i	$0.406557\pi$
$522$	8.37264	−	10.2679i	0.366461	−	0.449414i
$523$	−13.5974	−	29.1596i	−0.594571	−	1.27506i	−0.941450	−	0.337152i	$-0.890536\pi$
$523$	−13.5974	−	29.1596i	−0.594571	−	1.27506i	0.346880	−	0.937910i	$-0.387241\pi$
$524$	9.62151	−	16.6649i	0.420317	−	0.728011i
$525$	−24.7628	+	7.34020i	−1.08074	+	0.320353i
$526$	−1.55223	−	8.80313i	−0.0676804	−	0.383835i
$527$	0.605914	+	6.92563i	0.0263940	+	0.301685i
$528$	1.24914	+	8.99886i	0.0543619	+	0.391625i
$529$	11.3859	+	2.00763i	0.495037	+	0.0872884i
$530$	−18.6691	−	14.6890i	−0.810936	−	0.638051i
$531$	5.82890	+	12.0547i	0.252953	+	0.523128i
$532$	−2.52211	+	12.7527i	−0.109347	+	0.552900i
$533$	−40.1783	+	40.1783i	−1.74032	+	1.74032i
$534$	8.57228	+	13.2493i	0.370959	+	0.573354i
$535$	21.6671	+	9.28471i	0.936750	+	0.401413i
$536$	−6.15207	−	7.33175i	−0.265729	−	0.316684i
$537$	−2.84862	−	8.81803i	−0.122927	−	0.380526i
$538$	−4.29478	+	6.13358i	−0.185161	+	0.264437i
$539$	−4.96825	−	8.60526i	−0.213998	−	0.370655i
$540$	11.5833	+	0.909105i	0.498467	+	0.0391217i
$541$	15.5421	+	5.65685i	0.668206	+	0.243207i	0.653775	−	0.756689i	$-0.273184\pi$
$541$	15.5421	+	5.65685i	0.668206	+	0.243207i	0.0144307	+	0.999896i	$0.495406\pi$
$542$	−1.63658	−	3.50966i	−0.0702972	−	0.150753i
$543$	24.6718	−	13.0646i	1.05877	−	0.560655i
$544$	1.74358	−	1.00666i	0.0747553	−	0.0431600i
$545$	−7.30328	−	8.16712i	−0.312838	−	0.349841i
$546$	−14.8207	+	28.9656i	−0.634267	+	1.23961i
$547$	−1.17972	+	13.4843i	−0.0504411	+	0.576545i	0.928353	+	0.371699i	$0.121225\pi$
$547$	−1.17972	+	13.4843i	−0.0504411	+	0.576545i	−0.978794	+	0.204846i	$0.934331\pi$
$548$	−1.93942	−	2.76978i	−0.0828480	−	0.118319i
$549$	24.5596	+	23.8785i	1.04818	+	1.01911i
$550$	8.36871	+	24.8555i	0.356843	+	1.05984i
$551$	−10.7124	−	15.9941i	−0.456362	−	0.681371i
$552$	3.11266	−	4.96254i	0.132484	−	0.211220i
$553$	19.0935	+	8.90345i	0.811939	+	0.378613i
$554$	3.26240	−	18.5020i	0.138606	−	0.786074i
$555$	21.2092	+	1.96497i	0.900280	+	0.0834082i
$556$	4.53065	+	3.80167i	0.192142	+	0.161227i
$557$	−6.97833	+	9.96609i	−0.295682	+	0.422277i	−0.939314	−	0.343057i	$-0.888537\pi$
$557$	−6.97833	+	9.96609i	−0.295682	+	0.422277i	0.643633	+	0.765334i	$0.277426\pi$
$558$	−10.1755	+	1.94211i	−0.430763	+	0.0822159i
$559$	31.4848	+	18.1777i	1.33166	+	0.768836i
$560$	−5.58040	−	3.65115i	−0.235815	−	0.154289i
$561$	−18.1511	−	2.25994i	−0.766339	−	0.0954147i
$562$	4.35980	+	16.2710i	0.183907	+	0.686350i
$563$	30.1046	+	8.06651i	1.26876	+	0.339963i	0.829555	−	0.558425i	$-0.188594\pi$
$563$	30.1046	+	8.06651i	1.26876	+	0.339963i	0.439203	+	0.898388i	$0.355261\pi$
$564$	−6.33581	−	14.9969i	−0.266786	−	0.631484i
$565$	12.4953	+	16.7003i	0.525681	+	0.702588i
$566$	−14.7735	−	17.6064i	−0.620977	−	0.740051i
$567$	26.7941	+	1.58664i	1.12525	+	0.0666325i
$568$	−1.75955	−	0.820494i	−0.0738293	−	0.0344272i
$569$	−0.279833			−0.0117312			−0.00586561	−	0.999983i	$-0.501867\pi$
$569$	−0.279833			−0.0117312			−0.00586561	+	0.999983i	$0.501867\pi$
$570$	6.18183	−	15.7094i	0.258928	−	0.657994i
$571$	20.1066			0.841434			0.420717	−	0.907192i	$-0.361779\pi$
$571$	20.1066			0.841434			0.420717	+	0.907192i	$0.361779\pi$
$572$	29.9438	+	13.9630i	1.25201	+	0.583824i
$573$	27.8558	+	25.1672i	1.16369	+	1.05138i
$574$	−17.2930	−	20.6090i	−0.721797	−	0.860205i
$575$	6.16800	−	15.7454i	0.257223	−	0.656629i
$576$	1.75511	+	2.43302i	0.0731296	+	0.101376i
$577$	10.1356	+	2.71584i	0.421952	+	0.113062i	0.463546	−	0.886073i	$-0.346577\pi$
$577$	10.1356	+	2.71584i	0.421952	+	0.113062i	−0.0415937	+	0.999135i	$0.513244\pi$
$578$	−3.35082	−	12.5054i	−0.139376	−	0.520157i
$579$	1.20471	−	9.67581i	0.0500660	−	0.402113i
$580$	9.66625	−	2.02010i	0.401369	−	0.0838800i
$581$	9.01060	+	5.20227i	0.373822	+	0.215827i
$582$	0.837664	−	22.8747i	0.0347223	−	0.948187i
$583$	−31.9620	+	45.6465i	−1.32373	+	1.89048i
$584$	10.1734	+	8.53654i	0.420980	+	0.353244i
$585$	25.6584	−	33.5714i	1.06084	−	1.38801i
$586$	4.06180	−	23.0356i	0.167791	−	0.951592i
$587$	−22.0572	−	10.2854i	−0.910398	−	0.424526i	−0.0897533	−	0.995964i	$-0.528608\pi$
$587$	−22.0572	−	10.2854i	−0.910398	−	0.424526i	−0.820645	+	0.571438i	$0.806386\pi$
$588$	−2.77960	−	1.74345i	−0.114629	−	0.0718987i
$589$	−1.62217	+	14.9639i	−0.0668404	+	0.616576i
$590$	−2.27832	+	9.71675i	−0.0937969	+	0.400032i
$591$	13.3222	+	20.5908i	0.548003	+	0.846993i
$592$	3.15446	+	4.50504i	0.129648	+	0.185156i
$593$	0.106430	−	1.21650i	0.00437057	−	0.0499558i	−0.993696	−	0.112106i	$-0.964240\pi$
$593$	0.106430	−	1.21650i	0.00437057	−	0.0499558i	0.998067	+	0.0621504i	$0.0197959\pi$
$594$	0.614379	−	27.2485i	0.0252083	−	1.11802i
$595$	10.0083	−	8.94971i	0.410300	−	0.366902i
$596$	7.59444	−	4.38465i	0.311080	−	0.179602i
$597$	2.59383	+	4.89832i	0.106158	+	0.200475i
$598$	−9.00312	−	19.3073i	−0.368165	−	0.789532i
$599$	−10.6955	−	3.89283i	−0.437004	−	0.159057i	0.114143	−	0.993464i	$-0.463588\pi$
$599$	−10.6955	−	3.89283i	−0.437004	−	0.159057i	−0.551148	+	0.834408i	$0.685810\pi$
$600$	6.28306	+	5.96013i	0.256505	+	0.243321i
$601$	−4.34754	−	7.53016i	−0.177340	−	0.307162i	0.763629	−	0.645656i	$-0.223416\pi$
$601$	−4.34754	−	7.53016i	−0.177340	−	0.307162i	−0.940969	+	0.338494i	$0.890082\pi$
$602$	−9.87320	+	14.1004i	−0.402402	+	0.574689i
$603$	14.7046	+	24.6617i	0.598816	+	1.00430i
$604$	2.20973	+	2.63346i	0.0899128	+	0.107154i
$605$	34.2832	−	13.7151i	1.39381	−	0.557598i
$606$	−3.40415	+	2.20248i	−0.138284	+	0.0894695i
$607$	−2.28976	+	2.28976i	−0.0929387	+	0.0929387i	−0.752048	−	0.659109i	$-0.770934\pi$
$607$	−2.28976	+	2.28976i	−0.0929387	+	0.0929387i	0.659109	+	0.752048i	$0.270934\pi$
$608$	4.12603	−	1.40566i	0.167333	−	0.0570069i
$609$	22.2365	−	5.09398i	0.901070	−	0.206419i
$610$	3.02484	+	25.3518i	0.122472	+	1.02646i
$611$	−58.3063	−	10.2810i	−2.35882	−	0.415923i
$612$	−5.64608	+	2.14537i	−0.228229	+	0.0867215i
$613$	1.09094	+	12.4695i	0.0440626	+	0.503637i	0.985873	+	0.167493i	$0.0535673\pi$
$613$	1.09094	+	12.4695i	0.0440626	+	0.503637i	−0.941811	+	0.336144i	$0.890877\pi$
$614$	−0.544318	−	3.08698i	−0.0219669	−	0.124580i
$615$	17.3137	+	30.3458i	0.698156	+	1.22366i
$616$	−7.82165	+	13.5475i	−0.315143	+	0.545844i
$617$	1.82508	+	3.91390i	0.0734750	+	0.157568i	0.939615	−	0.342235i	$-0.111184\pi$
$617$	1.82508	+	3.91390i	0.0734750	+	0.157568i	−0.866140	+	0.499802i	$0.833406\pi$
$618$	−3.19395	+	2.48667i	−0.128479	+	0.100029i
$619$	−0.855340	−	0.493831i	−0.0343790	−	0.0198487i	0.482712	−	0.875779i	$-0.339652\pi$
$619$	−0.855340	−	0.493831i	−0.0343790	−	0.0198487i	−0.517091	+	0.855930i	$0.672985\pi$
$620$	−6.80505	−	3.64822i	−0.273297	−	0.146516i
$621$	−11.5968	+	13.2043i	−0.465365	+	0.529869i
$622$	−5.52122	+	0.483044i	−0.221381	+	0.0193683i
$623$	−2.36819	+	27.0686i	−0.0948796	+	1.08448i
$624$	10.8959	−	0.552494i	0.436185	−	0.0221175i
$625$	21.0180	+	13.5368i	0.840720	+	0.541471i
$626$			33.6503i			1.34494i
$627$	−37.6018	−	12.4242i	−1.50167	−	0.496173i
$628$	−10.7570	−	10.7570i	−0.429252	−	0.429252i
$629$	−10.4047	+	3.78701i	−0.414864	+	0.150998i
$630$	14.7759	+	13.4877i	0.588687	+	0.537363i
$631$	26.9539	−	22.6170i	1.07302	−	0.900370i	0.0776966	−	0.996977i	$-0.475243\pi$
$631$	26.9539	−	22.6170i	1.07302	−	0.900370i	0.995323	+	0.0966070i	$0.0307990\pi$
$632$	−0.615671	−	7.03715i	−0.0244901	−	0.279923i
$633$	4.53603	−	11.1725i	0.180291	−	0.444065i
$634$	2.04438	−	1.18033i	0.0811928	−	0.0468767i
$635$	−15.4093	+	16.4116i	−0.611500	+	0.651273i
$636$	−2.27346	+	18.2596i	−0.0901484	+	0.724041i
$637$	−10.8143	+	5.04279i	−0.428478	+	0.199803i
$638$	−5.99547	−	22.3754i	−0.237363	−	0.885850i
$639$	4.81753	+	3.27331i	0.190579	+	0.129490i
$640$	−0.124663	+	2.23259i	−0.00492774	+	0.0882509i
$641$	−11.4765	+	13.6772i	−0.453296	+	0.540217i	−0.943492	−	0.331395i	$-0.892481\pi$
$641$	−11.4765	+	13.6772i	−0.453296	+	0.540217i	0.490196	+	0.871612i	$0.336925\pi$
$642$	−2.51052	−	18.0859i	−0.0990822	−	0.713792i
$643$	−36.2511	+	25.3833i	−1.42960	+	1.00102i	−0.434658	+	0.900596i	$0.643131\pi$
$643$	−36.2511	+	25.3833i	−1.42960	+	1.00102i	−0.994945	+	0.100423i	$0.967981\pi$
$644$	9.47824	−	3.44980i	0.373495	−	0.135941i
$645$	15.8873	−	15.7256i	0.625563	−	0.619194i
$646$	0.583589	+	8.75640i	0.0229610	+	0.344516i
$647$	4.75082	+	4.75082i	0.186774	+	0.186774i	0.794300	−	0.607526i	$-0.207838\pi$
$647$	4.75082	+	4.75082i	0.186774	+	0.186774i	−0.607526	+	0.794300i	$0.707838\pi$
$648$	−4.03140	−	8.04660i	−0.158368	−	0.316100i
$649$	23.0558	+	4.06536i	0.905020	+	0.159579i
$650$	30.6101	−	7.40993i	1.20063	−	0.290641i
$651$	−15.8791	−	8.12479i	−0.622352	−	0.318436i
$652$	−4.09478	−	2.86719i	−0.160364	−	0.112288i
$653$	−11.3482	−	3.04073i	−0.444088	−	0.118993i	0.0298435	−	0.999555i	$-0.490499\pi$
$653$	−11.3482	−	3.04073i	−0.444088	−	0.118993i	−0.473932	+	0.880561i	$0.657166\pi$
$654$	−2.49503	+	8.11164i	−0.0975635	+	0.317190i
$655$	−42.1188	+	8.80217i	−1.64572	+	0.343929i
$656$	−3.08530	+	8.47681i	−0.120461	+	0.330964i
$657$	−26.0362	−	30.1573i	−1.01577	−	1.17655i
$658$	7.25533	−	27.0772i	0.282842	−	1.05558i
$659$	1.57079	+	8.90841i	0.0611894	+	0.347023i	0.999997	+	0.00257956i	$0.000821101\pi$
$659$	1.57079	+	8.90841i	0.0611894	+	0.347023i	−0.938807	+	0.344443i	$0.888068\pi$
$660$	13.1377	−	15.4952i	0.511384	−	0.603149i
$661$	11.1294	−	9.33871i	0.432885	−	0.363234i	−0.400154	−	0.916448i	$-0.631043\pi$
$661$	11.1294	−	9.33871i	0.432885	−	0.363234i	0.833039	+	0.553214i	$0.186599\pi$
$662$	−6.60745	+	4.62658i	−0.256806	+	0.179817i
$663$	−4.60324	+	21.4773i	−0.178775	+	0.834108i
$664$		−	3.48872i		−	0.135388i
$665$	25.0159	−	14.8044i	0.970074	−	0.574089i
$666$	−7.18229	−	14.8536i	−0.278308	−	0.575565i
$667$	−6.31231	+	13.5368i	−0.244414	+	0.524147i
$668$	8.36346	+	11.9443i	0.323592	+	0.462137i
$669$	−15.6649	−	11.8461i	−0.605641	−	0.457996i
$670$	−3.05094	+	21.1827i	−0.117868	+	0.818357i
$671$	58.9815	−	10.4000i	2.27696	−	0.401489i
$672$	−0.189035	+	5.16211i	−0.00729217	+	0.199133i
$673$	18.5995	−	4.98372i	0.716958	−	0.192108i	0.118144	−	0.992996i	$-0.462306\pi$
$673$	18.5995	−	4.98372i	0.716958	−	0.192108i	0.598814	+	0.800888i	$0.295639\pi$
$674$	−13.1534	−	4.78745i	−0.506650	−	0.184405i
$675$	−15.7500	−	20.6625i	−0.606217	−	0.795299i
$676$	13.3377	−	23.1015i	0.512987	−	0.888520i
$677$	0.763774	−	2.85044i	0.0293542	−	0.109551i	−0.949694	−	0.313178i	$-0.898606\pi$
$677$	0.763774	−	2.85044i	0.0293542	−	0.109551i	0.979049	+	0.203627i	$0.0652729\pi$
$678$	6.07759	−	14.9694i	0.233409	−	0.574896i
$679$	25.3344	−	30.1924i	0.972245	−	1.15868i
$680$	−4.27678	−	1.40580i	−0.164007	−	0.0539099i
$681$	−15.2739	+	0.774487i	−0.585297	+	0.0296784i
$682$	−7.65462	+	16.4154i	−0.293111	+	0.628578i
$683$	−15.4021	+	15.4021i	−0.589346	+	0.589346i	−0.937454	−	0.348109i	$-0.886824\pi$
$683$	−15.4021	+	15.4021i	−0.589346	+	0.589346i	0.348109	+	0.937454i	$0.386824\pi$
$684$	−12.8929	+	2.18495i	−0.492971	+	0.0835438i
$685$	−1.72599	+	7.36113i	−0.0659466	+	0.281254i
$686$	5.20786	+	14.3085i	0.198837	+	0.546300i
$687$	−12.7120	−	11.4850i	−0.484991	−	0.438180i
$688$	5.74981	+	0.503043i	0.219210	+	0.0191783i
$689$	51.2609	+	43.0130i	1.95288	+	1.63866i
$690$	−12.9112	+	2.20854i	−0.491522	+	0.0840777i
$691$	4.93248	+	8.54330i	0.187640	+	0.325002i	0.944463	−	0.328618i	$-0.106583\pi$
$691$	4.93248	+	8.54330i	0.187640	+	0.325002i	−0.756823	+	0.653620i	$0.773249\pi$
$692$	1.23165	−	0.330021i	0.0468204	−	0.0125455i
$693$	29.6575	−	36.3710i	1.12660	−	1.38162i
$694$	0.321029	−	0.882019i	0.0121861	−	0.0334810i
$695$	−0.416337	−	13.2183i	−0.0157925	−	0.501399i
$696$	−5.20725	−	5.60312i	−0.197380	−	0.212386i
$697$	−14.8772	−	10.4171i	−0.563515	−	0.394577i
$698$	8.38092	−	0.733236i	0.317223	−	0.0277534i
$699$	14.1961	−	18.7724i	0.536944	−	0.710039i
$700$	2.23191	+	14.7437i	0.0843582	+	0.557261i
$701$	−1.46716	−	4.03098i	−0.0554138	−	0.152248i	0.908897	−	0.417020i	$-0.136926\pi$
$701$	−1.46716	−	4.03098i	−0.0554138	−	0.152248i	−0.964311	+	0.264772i	$0.914703\pi$
$702$	−32.5326	−	3.58683i	−1.22786	−	0.135376i
$703$	−23.6893	+	3.67279i	−0.893461	+	0.138522i
$704$	5.24531			0.197690
$705$	−15.5536	+	32.9141i	−0.585783	+	1.23962i
$706$	−2.14858	+	12.1852i	−0.0808630	+	0.458597i
$707$	−6.95473	−	0.608460i	−0.261560	−	0.0228835i
$708$	7.35637	−	2.37644i	0.276469	−	0.0893120i
$709$	−38.5505	+	6.79749i	−1.44779	+	0.255285i	−0.841630	−	0.540054i	$-0.818404\pi$
$709$	−38.5505	+	6.79749i	−1.44779	+	0.255285i	−0.606164	+	0.795340i	$0.707293\pi$
$710$	1.25504	+	4.15585i	0.0471010	+	0.155966i
$711$	−1.55002	+	21.1353i	−0.0581302	+	0.792637i
$712$	8.25732	−	3.85045i	0.309456	−	0.144302i
$713$	10.5844	−	4.93557i	0.396387	−	0.184838i
$714$	−9.94030	−	3.05751i	−0.372006	−	0.114424i
$715$	−21.3582	−	70.7236i	−0.798750	−	2.64491i
$716$	−5.26887	+	0.929044i	−0.196907	+	0.0347200i
$717$	7.59885	+	23.5226i	0.283784	+	0.878467i
$718$	21.8273	+	1.90964i	0.814589	+	0.0712673i
$719$	−4.72401	+	26.7912i	−0.176176	+	0.999144i	0.760602	+	0.649219i	$0.224904\pi$
$719$	−4.72401	+	26.7912i	−0.176176	+	0.999144i	−0.936778	+	0.349925i	$0.886207\pi$
$720$	1.43939	−	6.55196i	0.0536429	−	0.244177i
$721$	−6.96976			−0.259567
$722$	−2.43859	+	18.8429i	−0.0907550	+	0.701259i
$723$	−19.5096	−	12.2370i	−0.725571	−	0.455100i
$724$	−5.51273	−	15.1461i	−0.204879	−	0.562900i
$725$	−17.7750	−	13.1010i	−0.660147	−	0.486558i
$726$	−22.8132	−	17.2517i	−0.846677	−	0.640272i
$727$	2.74226	−	0.239917i	0.101705	−	0.00889802i	−0.0361897	−	0.999345i	$-0.511522\pi$
$727$	2.74226	−	0.239917i	0.101705	−	0.00889802i	0.137895	+	0.990447i	$0.455967\pi$
$728$	15.3880	+	10.7748i	0.570317	+	0.399340i
$729$	8.08162	+	25.7621i	0.299319	+	0.954153i
$730$	−0.934872	−	29.6814i	−0.0346012	−	1.09856i
$731$	−3.97440	+	10.9196i	−0.146999	+	0.403876i
$732$	15.6049	−	12.1493i	0.576774	−	0.449051i
$733$	−36.5385	+	9.79046i	−1.34958	+	0.361619i	−0.859980	−	0.510328i	$-0.829524\pi$
$733$	−36.5385	+	9.79046i	−1.34958	+	0.361619i	−0.489600	+	0.871947i	$0.662857\pi$
$734$	1.72464	+	2.98717i	0.0636578	+	0.110259i
$735$	1.23704	+	7.23178i	0.0456288	+	0.266748i
$736$	−2.59083	−	2.17396i	−0.0954992	−	0.0801333i
$737$	50.0114	+	4.37543i	1.84219	+	0.161171i
$738$	13.2004	−	23.6247i	0.485913	−	0.869638i
$739$	−15.7765	−	43.3456i	−0.580349	−	1.59450i	−0.787586	−	0.616205i	$-0.788669\pi$
$739$	−15.7765	−	43.3456i	−0.580349	−	1.59450i	0.207237	−	0.978291i	$-0.433553\pi$
$740$	2.80731	−	11.9728i	0.103199	−	0.440131i
$741$	−18.7982	+	43.6820i	−0.690570	+	1.60470i
$742$	−22.4034	+	22.4034i	−0.822455	+	0.822455i
$743$	−1.43880	+	3.08551i	−0.0527843	+	0.113196i	−0.930931	−	0.365195i	$-0.881002\pi$
$743$	−1.43880	+	3.08551i	−0.0527843	+	0.113196i	0.878147	+	0.478392i	$0.158780\pi$
$744$	0.302880	+	5.97320i	0.0111041	+	0.218988i
$745$	−18.6282	−	6.12318i	−0.682485	−	0.224336i
$746$	20.5488	−	24.4891i	0.752346	−	0.896611i
$747$	−1.67234	+	10.3317i	−0.0611876	+	0.378016i
$748$	−2.73324	+	10.2006i	−0.0999373	+	0.372971i
$749$	15.7199	−	27.2277i	0.574393	−	0.994878i
$750$	0.569443	−	19.3565i	0.0207931	−	0.706801i
$751$	31.9133	+	11.6155i	1.16453	+	0.423856i	0.850715	−	0.525627i	$-0.176169\pi$
$751$	31.9133	+	11.6155i	1.16453	+	0.423856i	0.313819	+	0.949483i	$0.398391\pi$
$752$	−9.07919	+	2.43276i	−0.331084	+	0.0887137i
$753$	−34.3229	−	1.25689i	−1.25080	−	0.0458037i
$754$	−27.3948	+	4.83044i	−0.997658	+	0.175914i
$755$	1.09585	−	7.60850i	0.0398822	−	0.276902i
$756$	3.03430	−	15.1967i	0.110357	−	0.552700i
$757$	−23.2632	−	33.2232i	−0.845514	−	1.20752i	−0.976367	−	0.216117i	$-0.930661\pi$
$757$	−23.2632	−	33.2232i	−0.845514	−	1.20752i	0.130853	−	0.991402i	$-0.458228\pi$
$758$	−4.79851	+	10.2904i	−0.174290	+	0.373765i
$759$	6.86120	+	29.9509i	0.249046	+	1.08715i
$760$	−8.49296	−	4.78222i	−0.308072	−	0.173469i
$761$			4.27771i			0.155067i	0.996990	+	0.0775334i	$0.0247044\pi$
$761$			4.27771i			0.155067i	−0.996990	+	0.0775334i	$0.975296\pi$
$762$	17.0504	+	3.65443i	0.617672	+	0.132386i
$763$	−11.9701	+	8.38158i	−0.433348	+	0.303434i
$764$	16.6035	−	13.9320i	0.600695	−	0.504043i
$765$	11.9916	+	6.21331i	0.433558	+	0.224643i
$766$	0.111542	+	0.632588i	0.00403019	+	0.0228563i
$767$	7.27636	−	27.1558i	0.262734	−	0.980538i
$768$	1.53069	−	0.810553i	0.0552339	−	0.0292483i
$769$	−13.3480	+	36.6734i	−0.481342	+	1.32248i	0.427001	+	0.904251i	$0.359570\pi$
$769$	−13.3480	+	36.6734i	−0.481342	+	1.32248i	−0.908343	+	0.418226i	$0.862652\pi$
$770$	34.2398	−	7.15558i	1.23392	−	0.257869i
$771$	6.04174	+	1.85836i	0.217588	+	0.0669272i
$772$	−5.43764	−	1.45701i	−0.195705	−	0.0524390i
$773$	−30.7358	−	21.5214i	−1.10549	−	0.774072i	−0.129433	−	0.991588i	$-0.541316\pi$
$773$	−30.7358	−	21.5214i	−1.10549	−	0.774072i	−0.976057	+	0.217516i	$0.930205\pi$
$774$	−16.7867	−	4.24595i	−0.603385	−	0.152617i
$775$	4.06217	+	16.7806i	0.145917	+	0.602778i
$776$	−13.0148	−	2.29486i	−0.467204	−	0.0823806i
$777$	5.95365	−	27.7779i	0.213586	−	0.996526i
$778$	−3.64548	−	3.64548i	−0.130697	−	0.130697i
$779$	−27.2221	−	28.3741i	−0.975333	−	1.01661i
$780$	−17.1616	−	17.3381i	−0.614483	−	0.620804i
$781$	9.56938	−	3.48297i	0.342420	−	0.124631i
$782$	5.57776	−	3.90559i	0.199460	−	0.139664i
$783$	12.7351	+	19.0895i	0.455117	+	0.682203i
$784$	−1.21767	+	1.45116i	−0.0434882	+	0.0518272i
$785$	−1.89646	+	33.9638i	−0.0676877	+	1.21222i
$786$	22.6895	+	24.4145i	0.809309	+	0.870835i
$787$	−4.67604	−	17.4512i	−0.166683	−	0.622069i	−0.997820	−	0.0660007i	$-0.978976\pi$
$787$	−4.67604	−	17.4512i	−0.166683	−	0.622069i	0.831137	−	0.556068i	$-0.187691\pi$
$788$	12.8327	−	5.98401i	0.457147	−	0.213171i
$789$	15.3641	+	1.91294i	0.546975	+	0.0681023i
$790$	−10.8121	+	11.5153i	−0.384676	+	0.409696i
$791$	24.0915	−	13.9092i	0.856596	−	0.494556i
$792$	−15.5338	−	2.51437i	−0.551968	−	0.0893442i
$793$	−6.26830	−	71.6470i	−0.222594	−	2.54426i
$794$	−27.8743	+	23.3893i	−0.989222	+	0.830056i
$795$	33.8243	−	23.4271i	1.19963	−	0.830872i
$796$	3.00709	−	1.09449i	0.106583	−	0.0387932i
$797$	−27.1903	−	27.1903i	−0.963129	−	0.963129i	0.0362152	−	0.999344i	$-0.488470\pi$
$797$	−27.1903	−	27.1903i	−0.963129	−	0.963129i	−0.999344	+	0.0362152i	$0.988470\pi$
$798$	−19.8279	−	10.6692i	−0.701901	−	0.377686i
$799$		−	18.9241i		−	0.669485i
$800$	3.90716	−	3.11995i	0.138139	−	0.110307i
$801$	−26.2994	+	7.44475i	−0.929245	+	0.263047i
$802$	1.77912	−	20.3355i	0.0628231	−	0.718071i
$803$	−69.3952	+	6.07129i	−2.44890	+	0.214251i
$804$	15.2705	−	6.45138i	0.538548	−	0.227523i
$805$	−19.8778	−	10.6566i	−0.700601	−	0.375595i
$806$	18.8363	+	10.8751i	0.663480	+	0.383060i
$807$	−7.96722	−	10.2333i	−0.280460	−	0.360230i
$808$	0.989298	+	2.12156i	0.0348034	+	0.0746361i
$809$	2.91279	−	5.04511i	0.102408	−	0.177377i	−0.810268	−	0.586060i	$-0.800678\pi$
$809$	2.91279	−	5.04511i	0.102408	−	0.177377i	0.912676	+	0.408683i	$0.134012\pi$
$810$	−7.40340	+	18.7134i	−0.260129	+	0.657520i
$811$	7.23770	+	41.0471i	0.254150	+	1.44136i	0.798245	+	0.602333i	$0.205762\pi$
$811$	7.23770	+	41.0471i	0.254150	+	1.44136i	−0.544095	+	0.839024i	$0.683127\pi$
$812$	−1.14791	−	13.1207i	−0.0402839	−	0.460447i
$813$	6.64363	−	0.922209i	0.233002	−	0.0323433i
$814$	−28.4091	−	5.00928i	−0.995737	−	0.175575i
$815$	1.32426	+	11.0989i	0.0463869	+	0.388778i
$816$	0.778674	+	3.39911i	0.0272590	+	0.118993i
$817$	−13.0280	+	21.5227i	−0.455791	+	0.752984i
$818$	4.82571	−	4.82571i	0.168727	−	0.168727i
$819$	−40.4059	−	39.2854i	−1.41190	−	1.37274i
$820$	18.7281	−	7.49225i	0.654015	−	0.261641i
$821$	20.9710	+	24.9923i	0.731893	+	0.872236i	0.995728	−	0.0923320i	$-0.0294321\pi$
$821$	20.9710	+	24.9923i	0.731893	+	0.872236i	−0.263836	+	0.964568i	$0.584988\pi$
$822$	5.57297	−	1.80032i	0.194380	−	0.0627933i
$823$	−13.0245	+	18.6010i	−0.454006	+	0.648388i	−0.979272	−	0.202550i	$-0.935077\pi$
$823$	−13.0245	+	18.6010i	−0.454006	+	0.648388i	0.525265	+	0.850938i	$0.323966\pi$
$824$	1.16850	+	2.02391i	0.0407068	+	0.0705062i
$825$	−45.4099	+	1.19773i	−1.58097	+	0.0416995i
$826$	12.5084	+	4.55268i	0.435222	+	0.158408i
$827$	−20.6763	−	44.3405i	−0.718986	−	1.54187i	−0.835993	−	0.548740i	$-0.815108\pi$
$827$	−20.6763	−	44.3405i	−0.718986	−	1.54187i	0.117006	−	0.993131i	$-0.462670\pi$
$828$	6.63052	+	7.68002i	0.230426	+	0.266899i
$829$	15.6982	−	9.06336i	0.545221	−	0.314784i	−0.201971	−	0.979391i	$-0.564735\pi$
$829$	15.6982	−	9.06336i	0.545221	−	0.314784i	0.747192	+	0.664608i	$0.231401\pi$
$830$	−5.81509	+	5.20003i	−0.201845	+	0.180496i
$831$	28.9689	+	14.8224i	1.00492	+	0.514182i
$832$	0.548980	−	6.27487i	0.0190324	−	0.217542i
$833$	−2.18758	−	3.12419i	−0.0757953	−	0.108247i
$834$	−8.60075	+	5.56466i	−0.297819	+	0.192689i
$835$	7.44306	−	31.7437i	0.257578	−	1.09854i
$836$	−10.0898	+	20.5170i	−0.348965	+	0.709595i
$837$	1.96632	−	17.8346i	0.0679660	−	0.616453i
$838$	6.13383	+	2.86025i	0.211890	+	0.0988058i
$839$	−2.45322	+	13.9129i	−0.0846945	+	0.480326i	0.912728	+	0.408569i	$0.133972\pi$
$839$	−2.45322	+	13.9129i	−0.0846945	+	0.480326i	−0.997422	+	0.0717577i	$0.977139\pi$
$840$	8.88611	−	7.37918i	0.306600	−	0.254606i
$841$	−7.27478	−	6.10426i	−0.250854	−	0.210492i
$842$	1.74066	−	2.48592i	0.0599872	−	0.0856706i
$843$	−29.1568	−	1.06771i	−1.00421	−	0.0367739i
$844$	−6.02908	−	3.48089i	−0.207530	−	0.119817i
$845$	−58.3865	+	12.2019i	−2.00856	+	0.419757i
$846$	28.0538	−	2.85235i	0.964509	−	0.0980660i
$847$	−12.7464	−	47.5701i	−0.437971	−	1.63453i
$848$	10.2616	+	2.74959i	0.352385	+	0.0944213i
$849$	36.6703	−	15.4923i	1.25852	−	0.531693i
$850$	4.03144	+	9.22405i	0.138277	+	0.316382i
$851$	11.9560	+	14.2486i	0.409847	+	0.488436i
$852$	2.25432	−	2.49515i	0.0772317	−	0.0854824i
$853$	−32.7579	−	15.2753i	−1.12161	−	0.523015i	−0.228810	−	0.973471i	$-0.573484\pi$
$853$	−32.7579	−	15.2753i	−1.12161	−	0.523015i	−0.892799	+	0.450456i	$0.851261\pi$
$854$	34.0526			1.16526
$855$	22.8591	+	18.2335i	0.781766	+	0.623572i
$856$	−10.5420			−0.360318
$857$	−23.7649	−	11.0818i	−0.811794	−	0.378546i	−0.0280319	−	0.999607i	$-0.508924\pi$
$857$	−23.7649	−	11.0818i	−0.811794	−	0.378546i	−0.783762	+	0.621061i	$0.786702\pi$
$858$	−38.3637	+	42.4620i	−1.30971	+	1.44963i
$859$	−8.03284	−	9.57317i	−0.274077	−	0.326632i	0.611394	−	0.791326i	$-0.290609\pi$
$859$	−8.03284	−	9.57317i	−0.274077	−	0.326632i	−0.885472	+	0.464694i	$0.846164\pi$
$860$	−7.73178	−	10.3338i	−0.263651	−	0.352378i
$861$	42.9242	−	18.1344i	1.46285	−	0.618017i
$862$	38.4354	+	10.2987i	1.30911	+	0.350776i
$863$	−8.91401	−	33.2675i	−0.303436	−	1.13244i	−0.934283	−	0.356532i	$-0.883959\pi$
$863$	−8.91401	−	33.2675i	−0.303436	−	1.13244i	0.630846	−	0.775908i	$-0.282708\pi$
$864$	−4.92161	+	1.66667i	−0.167436	+	0.0567013i
$865$	−2.38590	−	1.56105i	−0.0811232	−	0.0530773i
$866$	11.1373	+	6.43015i	0.378462	+	0.218505i
$867$	22.4091	+	0.820614i	0.761053	+	0.0278695i
$868$	−5.90681	+	8.43580i	−0.200490	+	0.286330i
$869$	28.3843	+	23.8172i	0.962871	+	0.807944i
$870$	−1.57789	+	17.0312i	−0.0534955	+	0.577412i
$871$	10.4685	−	59.3698i	0.354712	−	2.01167i
$872$	4.44072	+	2.07074i	0.150382	+	0.0701241i
$873$	37.4427	+	13.0348i	1.26724	+	0.441162i
$874$	13.4871	−	5.95218i	0.456209	−	0.201336i
$875$	21.2486	−	25.6962i	0.718332	−	0.868689i
$876$	−19.3127	+	12.4953i	−0.652517	+	0.422177i
$877$	17.9698	+	25.6636i	0.606798	+	0.866597i	0.998570	−	0.0534653i	$-0.0170267\pi$
$877$	17.9698	+	25.6636i	0.606798	+	0.866597i	−0.391772	+	0.920062i	$0.628138\pi$
$878$	−0.177385	+	2.02752i	−0.00598646	+	0.0684256i
$879$	36.0673	+	18.4543i	1.21652	+	0.622450i
$880$	−7.81829	−	8.74304i	−0.263554	−	0.294728i
$881$	13.2747	−	7.66418i	0.447237	−	0.258213i	−0.259425	−	0.965763i	$-0.583533\pi$
$881$	13.2747	−	7.66418i	0.447237	−	0.258213i	0.706663	+	0.707550i	$0.250200\pi$
$882$	4.30170	−	3.71386i	0.144846	−	0.125052i
$883$	4.44358	+	9.52928i	0.149538	+	0.320686i	0.966780	−	0.255609i	$-0.0822759\pi$
$883$	4.44358	+	9.52928i	0.149538	+	0.320686i	−0.817242	+	0.576295i	$0.804498\pi$
$884$	11.9167	+	4.33734i	0.400803	+	0.145880i
$885$	−14.9260	−	8.71966i	−0.501732	−	0.293108i
$886$	−18.2313	−	31.5776i	−0.612493	−	1.06087i
$887$	27.7582	−	39.6428i	0.932028	−	1.33107i	−0.0115539	−	0.999933i	$-0.503678\pi$
$887$	27.7582	−	39.6428i	0.932028	−	1.33107i	0.943582	−	0.331140i	$-0.107433\pi$
$888$	−9.06442	+	2.92821i	−0.304182	+	0.0982644i
$889$	19.2998	+	23.0006i	0.647294	+	0.771415i
$890$	−18.7258	−	8.02434i	−0.627691	−	0.268976i
$891$	44.7972	+	14.8924i	1.50076	+	0.498914i
$892$	−8.01789	+	8.01789i	−0.268459	+	0.268459i
$893$	7.94895	−	40.1928i	0.266001	−	1.34500i
$894$	3.39164	+	14.8054i	0.113433	+	0.495165i
$895$	9.40197	+	7.39754i	0.314273	+	0.247273i
$896$	2.93703	+	0.517878i	0.0981194	+	0.0173011i
$897$	36.5478	−	5.07324i	1.22030	−	0.169390i
$898$	−2.59785	−	29.6935i	−0.0866912	−	0.990885i
$899$	−2.64807	−	15.0180i	−0.0883182	−	0.500878i
$900$	−13.0665	+	7.36667i	−0.435548	+	0.245556i
$901$	−10.6943	+	18.5231i	−0.356279	+	0.617093i
$902$	−19.9970	−	42.8838i	−0.665829	−	1.42787i
$903$	−18.3157	−	23.5252i	−0.609510	−	0.782871i
$904$	−8.07806	−	4.66387i	−0.268672	−	0.155118i
$905$	−17.0291	+	31.7645i	−0.566065	+	1.05589i
$906$	−5.48493	+	2.31724i	−0.182225	+	0.0769852i
$907$	13.1855	−	1.15359i	0.437819	−	0.0383042i	0.133884	−	0.990997i	$-0.457255\pi$
$907$	13.1855	−	1.15359i	0.437819	−	0.0383042i	0.303935	+	0.952693i	$0.401699\pi$
$908$	−0.769561	+	8.79612i	−0.0255388	+	0.291909i
$909$	−1.91278	−	6.75712i	−0.0634430	−	0.224120i
$910$	−4.97652	−	41.7093i	−0.164970	−	1.38265i
$911$		−	31.0208i		−	1.02777i	−0.857860	−	0.513883i	$-0.828207\pi$
$911$		−	31.0208i		−	1.02777i	0.857860	−	0.513883i	$-0.171793\pi$
$912$	0.226049	+	7.54645i	0.00748523	+	0.249888i
$913$	12.9396	+	12.9396i	0.428239	+	0.428239i
$914$	−9.82914	+	3.57751i	−0.325119	+	0.118334i
$915$	−43.5104	−	7.90182i	−1.43841	−	0.261226i
$916$	−7.57699	+	6.35785i	−0.250351	+	0.210069i
$917$	5.00180	+	57.1708i	0.165174	+	1.88795i
$918$	−0.676625	−	10.4396i	−0.0223320	−	0.344557i
$919$	−13.0833	+	7.55367i	−0.431580	+	0.249173i	−0.700019	−	0.714124i	$-0.746825\pi$
$919$	−13.0833	+	7.55367i	−0.431580	+	0.249173i	0.268440	+	0.963296i	$0.413492\pi$
$920$	0.238080	+	7.55882i	0.00784926	+	0.249207i
$921$	5.38769	+	0.670806i	0.177530	+	0.0221038i
$922$	−19.3303	+	9.01385i	−0.636608	+	0.296855i
$923$	−3.16507	−	11.8122i	−0.104180	−	0.388804i
$924$	−18.4451	−	19.8473i	−0.606799	−	0.652930i
$925$	−24.1411	+	13.1666i	−0.793754	+	0.432914i
$926$	5.65333	−	6.73738i	0.185780	−	0.221404i
$927$	−2.49030	−	6.55384i	−0.0817922	−	0.215257i
$928$	−3.61760	+	2.53307i	−0.118753	+	0.0831521i
$929$	−3.25796	+	1.18580i	−0.106890	+	0.0389049i	−0.394912	−	0.918719i	$-0.629225\pi$
$929$	−3.25796	+	1.18580i	−0.106890	+	0.0389049i	0.288021	+	0.957624i	$0.407003\pi$
$930$	9.50486	−	9.40809i	0.311677	−	0.308503i
$931$	−3.33391	−	7.55436i	−0.109265	−	0.247584i
$932$	−9.60844	−	9.60844i	−0.314735	−	0.314735i
$933$	2.01179	−	9.38639i	0.0658630	−	0.307296i
$934$	−11.5211	−	2.03148i	−0.376981	−	0.0664720i
$935$	21.0767	−	10.6485i	0.689280	−	0.348242i
$936$	−4.63367	+	18.3196i	−0.151456	+	0.598794i
$937$	−16.3844	−	11.4725i	−0.535255	−	0.374790i	0.274473	−	0.961595i	$-0.411497\pi$
$937$	−16.3844	−	11.4725i	−0.535255	−	0.374790i	−0.809728	+	0.586805i	$0.800386\pi$
$938$	27.5712	+	7.38767i	0.900230	+	0.241216i
$939$	−55.7083	−	17.1352i	−1.81797	−	0.559185i
$940$	17.5878	+	11.5074i	0.573651	+	0.375329i
$941$	4.27932	−	11.7573i	0.139502	−	0.383278i	−0.850193	−	0.526471i	$-0.823515\pi$
$941$	4.27932	−	11.7573i	0.139502	−	0.383278i	0.989695	+	0.143193i	$0.0457370\pi$
$942$	23.2859	−	12.3307i	0.758697	−	0.401756i
$943$	−7.89636	+	29.4696i	−0.257141	+	0.959663i
$944$	−0.775047	−	4.39551i	−0.0252256	−	0.143062i
$945$	−29.8531	+	17.5935i	−0.971121	+	0.572317i
$946$	−23.1918	+	19.4602i	−0.754031	+	0.632707i
$947$	0.887380	−	0.621350i	0.0288360	−	0.0201912i	−0.559070	−	0.829121i	$-0.688842\pi$
$947$	0.887380	−	0.621350i	0.0288360	−	0.0201912i	0.587906	+	0.808930i	$0.299953\pi$
$948$	11.9636	+	2.56416i	0.388558	+	0.0832800i
$949$			83.6516i			2.71545i
$950$	4.68787	+	21.2844i	0.152095	+	0.690556i
$951$	0.913011	+	3.98553i	0.0296064	+	0.129240i
$952$	−2.53756	+	5.44182i	−0.0822428	+	0.176370i
$953$	27.5988	+	39.4152i	0.894014	+	1.27678i	0.960296	+	0.278984i	$0.0899975\pi$
$953$	27.5988	+	39.4152i	0.894014	+	1.27678i	−0.0662816	+	0.997801i	$0.521114\pi$
$954$	−29.0713	−	13.0617i	−0.941217	−	0.422890i
$955$	−47.9704	−	6.90918i	−1.55228	−	0.223576i
$956$	14.0550	−	2.47827i	0.454571	−	0.0801531i
$957$	40.0956	+	1.46829i	1.29611	+	0.0474630i
$958$	15.4510	−	4.14009i	0.499200	−	0.133760i
$959$	9.47598	+	3.44897i	0.305995	+	0.111373i
$960$	−3.63259	−	1.34324i	−0.117241	−	0.0433530i
$961$	9.53819	−	16.5206i	0.307683	−	0.532923i
$962$	−8.96584	+	33.4610i	−0.289070	+	1.07882i
$963$	31.2197	+	5.05337i	1.00604	+	0.162842i
$964$	−8.54666	+	10.1855i	−0.275269	+	0.328053i
$965$	5.67638	+	11.2353i	0.182729	+	0.361679i
$966$	0.884726	+	17.4480i	0.0284656	+	0.561379i
$967$	−19.5344	+	41.8917i	−0.628185	+	1.34715i	0.292285	+	0.956331i	$0.405585\pi$
$967$	−19.5344	+	41.8917i	−0.628185	+	1.34715i	−0.920469	+	0.390815i	$0.872193\pi$
$968$	−11.6766	+	11.6766i	−0.375302	+	0.375302i
$969$	−14.7934	−	3.49273i	−0.475234	−	0.112203i
$970$	15.5738	+	25.1140i	0.500044	+	0.806362i
$971$	−2.42617	−	6.66586i	−0.0778596	−	0.213918i	0.894656	−	0.446756i	$-0.147421\pi$
$971$	−2.42617	−	6.66586i	−0.0778596	−	0.213918i	−0.972515	+	0.232839i	$0.925199\pi$
$972$	15.3740	−	2.57657i	0.493123	−	0.0826437i
$973$	−17.5715	−	1.53730i	−0.563315	−	0.0492837i
$974$	−8.29753	−	6.96246i	−0.265870	−	0.223092i
$975$	−3.31983	+	54.4484i	−0.106320	+	1.74374i
$976$	−5.70905	−	9.88836i	−0.182742	−	0.316519i
$977$	−52.9901	+	14.1987i	−1.69530	+	0.454255i	−0.971750	−	0.236013i	$-0.924159\pi$
$977$	−52.9901	+	14.1987i	−1.69530	+	0.454255i	−0.723554	+	0.690268i	$0.757493\pi$
$978$	6.83177	−	5.31892i	0.218456	−	0.170080i
$979$	−16.3451	+	44.9077i	−0.522390	+	1.43526i
$980$	4.23382	−	0.133352i	0.135244	−	0.00425978i
$981$	−12.1584	−	8.26109i	−0.388187	−	0.263756i
$982$	19.9885	+	13.9961i	0.637858	+	0.446633i
$983$	2.76450	−	0.241863i	0.0881739	−	0.00771422i	−0.0429834	−	0.999076i	$-0.513686\pi$
$983$	2.76450	−	0.241863i	0.0881739	−	0.00771422i	0.131157	+	0.991362i	$0.458131\pi$
$984$	−12.4623	−	9.42424i	−0.397285	−	0.300434i
$985$	−29.1019	−	12.4707i	−0.927264	−	0.397348i
$986$	−3.04101	−	8.35512i	−0.0968456	−	0.266081i
$987$	41.1321	+	25.7993i	1.30925	+	0.821201i
$988$	23.4881	+	14.2176i	0.747256	+	0.452323i
$989$	19.5206			0.620720
$990$	18.9625	+	29.6399i	0.602668	+	0.942017i
$991$	6.78407	−	38.4744i	0.215503	−	1.22218i	−0.664529	−	0.747263i	$-0.731368\pi$
$991$	6.78407	−	38.4744i	0.215503	−	1.22218i	0.880032	−	0.474915i	$-0.157521\pi$
$992$	3.43992	+	0.300954i	0.109218	+	0.00955530i
$993$	−4.29475	−	13.2946i	−0.136290	−	0.421891i
$994$	5.70211	−	1.00544i	0.180860	−	0.0318905i
$995$	−6.30648	−	3.38093i	−0.199929	−	0.107183i
$996$	5.77559	+	1.77650i	0.183007	+	0.0562905i
$997$	−7.52067	+	3.50695i	−0.238182	+	0.111066i	−0.538045	−	0.842916i	$-0.680837\pi$
$997$	−7.52067	+	3.50695i	−0.238182	+	0.111066i	0.299863	+	0.953982i	$0.403059\pi$
$998$	−19.2547	+	8.97860i	−0.609496	+	0.284213i
$999$	28.2475	−	4.32669i	0.893712	−	0.136891i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.bi.a.233.25	yes	480
3.2	odd	2	inner	570.2.bi.a.233.3	yes	480
5.2	odd	4	inner	570.2.bi.a.347.15	yes	480
15.2	even	4	inner	570.2.bi.a.347.33	yes	480
19.4	even	9	inner	570.2.bi.a.23.33	yes	480
57.23	odd	18	inner	570.2.bi.a.23.15	✓	480
95.42	odd	36	inner	570.2.bi.a.137.3	yes	480
285.137	even	36	inner	570.2.bi.a.137.25	yes	480

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.bi.a.23.15	✓	480	57.23	odd	18	inner
570.2.bi.a.23.33	yes	480	19.4	even	9	inner
570.2.bi.a.137.3	yes	480	95.42	odd	36	inner
570.2.bi.a.137.25	yes	480	285.137	even	36	inner
570.2.bi.a.233.3	yes	480	3.2	odd	2	inner
570.2.bi.a.233.25	yes	480	1.1	even	1	trivial
570.2.bi.a.347.15	yes	480	5.2	odd	4	inner
570.2.bi.a.347.33	yes	480	15.2	even	4	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:	\( N \)	\(=\)	\( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	570.bi (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.906308 + 0.422618i) q^{2} +(-1.16115 + 1.28520i) q^{3} +(0.642788 + 0.766044i) q^{4} +(0.318772 - 2.21323i) q^{5} +(-1.59551 + 0.674060i) q^{6} +(-2.88072 - 0.771887i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.303459 - 2.98461i) q^{9} +O(q^{10})\)	\(q+(0.906308 + 0.422618i) q^{2} +(-1.16115 + 1.28520i) q^{3} +(0.642788 + 0.766044i) q^{4} +(0.318772 - 2.21323i) q^{5} +(-1.59551 + 0.674060i) q^{6} +(-2.88072 - 0.771887i) q^{7} +(0.258819 + 0.965926i) q^{8} +(-0.303459 - 2.98461i) q^{9} +(1.22426 - 1.87115i) q^{10} +(-4.54257 - 2.62265i) q^{11} +(-1.73089 - 0.0633846i) q^{12} +(-3.61286 + 5.15970i) q^{13} +(-2.28461 - 1.91701i) q^{14} +(2.47429 + 2.97958i) q^{15} +(-0.173648 + 0.984808i) q^{16} +(-1.82468 - 0.850862i) q^{17} +(0.986324 - 2.83323i) q^{18} +(-3.51804 - 2.57359i) q^{19} +(1.90033 - 1.17844i) q^{20} +(4.33698 - 2.80601i) q^{21} +(-3.00859 - 4.29671i) q^{22} +(-0.294768 + 3.36921i) q^{23} +(-1.54193 - 0.788952i) q^{24} +(-4.79677 - 1.41103i) q^{25} +(-5.45495 + 3.14942i) q^{26} +(4.18817 + 3.07558i) q^{27} +(-1.26039 - 2.70292i) q^{28} +(4.14994 + 1.51045i) q^{29} +(0.983247 + 3.74609i) q^{30} +(-1.72653 - 2.99044i) q^{31} +(-0.573576 + 0.819152i) q^{32} +(8.64524 - 2.79280i) q^{33} +(-1.29413 - 1.54229i) q^{34} +(-2.62665 + 6.12964i) q^{35} +(2.09129 - 2.15094i) q^{36} +(3.88883 - 3.88883i) q^{37} +(-2.10078 - 3.81926i) q^{38} +(-2.43615 - 10.6344i) q^{39} +(2.22032 - 0.264916i) q^{40} +(8.88378 + 1.56645i) q^{41} +(5.11651 - 0.710228i) q^{42} +(-0.503043 - 5.74981i) q^{43} +(-0.910838 - 5.16562i) q^{44} +(-6.70237 - 0.279786i) q^{45} +(-1.69104 + 2.92897i) q^{46} +(3.97239 + 8.51881i) q^{47} +(-1.06404 - 1.36668i) q^{48} +(1.64056 + 0.947179i) q^{49} +(-3.75102 - 3.30603i) q^{50} +(3.21225 - 1.35709i) q^{51} +(-6.27487 + 0.548980i) q^{52} +(0.925908 - 10.5832i) q^{53} +(2.49598 + 4.55742i) q^{54} +(-7.25258 + 9.21772i) q^{55} -2.98234i q^{56} +(7.39255 - 1.53304i) q^{57} +(3.12278 + 3.12278i) q^{58} +(-4.19415 + 1.52654i) q^{59} +(-0.692044 + 3.81065i) q^{60} +(-8.74677 + 7.33941i) q^{61} +(-0.300954 - 3.43992i) q^{62} +(-1.42960 + 8.83207i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(10.2679 + 9.64087i) q^{65} +(9.01553 + 1.12250i) q^{66} +(-8.67420 + 4.04485i) q^{67} +(-0.521083 - 1.94471i) q^{68} +(-3.98783 - 4.29100i) q^{69} +(-4.97105 + 4.44527i) q^{70} +(-1.24794 + 1.48724i) q^{71} +(2.80437 - 1.06559i) q^{72} +(10.8787 - 7.61738i) q^{73} +(5.16797 - 1.88099i) q^{74} +(7.38322 - 4.52637i) q^{75} +(-0.289865 - 4.34925i) q^{76} +(11.0615 + 11.0615i) q^{77} +(2.28640 - 10.6676i) q^{78} +(-6.95672 - 1.22666i) q^{79} +(2.12425 + 0.698252i) q^{80} +(-8.81583 + 1.81142i) q^{81} +(7.38943 + 5.17413i) q^{82} +(-3.36984 - 0.902946i) q^{83} +(4.93729 + 1.51864i) q^{84} +(-2.46481 + 3.76720i) q^{85} +(1.97406 - 5.42369i) q^{86} +(-6.75993 + 3.57962i) q^{87} +(1.35759 - 5.06658i) q^{88} +(-1.58210 - 8.97253i) q^{89} +(-5.95616 - 3.08611i) q^{90} +(14.3904 - 12.0749i) q^{91} +(-2.77044 + 1.93988i) q^{92} +(5.84806 + 1.25342i) q^{93} +9.39947i q^{94} +(-6.81741 + 6.96584i) q^{95} +(-0.386763 - 1.68832i) q^{96} +(-5.58514 + 11.9774i) q^{97} +(1.08656 + 1.55177i) q^{98} +(-6.44912 + 14.3537i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 480 q+O(q^{10}) \) 480 * q	\( 480 q - 36 q^{15} - 48 q^{18} + 24 q^{22} - 24 q^{25} + 72 q^{33} + 24 q^{43} - 36 q^{45} + 24 q^{51} - 120 q^{55} + 108 q^{57} - 48 q^{60} - 48 q^{61} - 36 q^{63} - 24 q^{66} + 48 q^{67} - 48 q^{70} - 48 q^{78} - 144 q^{81} - 48 q^{85} - 96 q^{87} - 168 q^{90} - 144 q^{91} - 228 q^{93} + 48 q^{97}+O(q^{100}) \) 480 * q - 36 * q^15 - 48 * q^18 + 24 * q^22 - 24 * q^25 + 72 * q^33 + 24 * q^43 - 36 * q^45 + 24 * q^51 - 120 * q^55 + 108 * q^57 - 48 * q^60 - 48 * q^61 - 36 * q^63 - 24 * q^66 + 48 * q^67 - 48 * q^70 - 48 * q^78 - 144 * q^81 - 48 * q^85 - 96 * q^87 - 168 * q^90 - 144 * q^91 - 228 * q^93 + 48 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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