LMFDB - Embedded newform 570.2.v.a.467.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [570,2,Mod(83,570)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(570, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 9, 4]))

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

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

chi := DirichletCharacter("570.83");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 570 = 2 \cdot 3 \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	570.v (of order $12$, degree $4$, 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:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{12})$
Coefficient field:	$\Q(\zeta_{24})$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - x^{4} + 1 $ x^8 - x^4 + 1
Coefficient ring:	$\Z[a_1, a_2]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			467.2
Root			$-0.965926 + 0.258819i$ of defining polynomial
Character	$\chi$	$=$	570.467
Dual form			570.2.v.a.83.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.258819 + 0.965926i) q^{2} +(-1.57313 + 0.724745i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(1.67303 - 1.48356i) q^{5} +(-1.10721 - 1.33195i) q^{6} +(-2.12132 - 2.12132i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(1.94949 - 2.28024i) q^{9} +O(q^{10})$	\(q+(0.258819 + 0.965926i) q^{2} +(-1.57313 + 0.724745i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(1.67303 - 1.48356i) q^{5} +(-1.10721 - 1.33195i) q^{6} +(-2.12132 - 2.12132i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(1.94949 - 2.28024i) q^{9} +(1.86603 + 1.23205i) q^{10} +5.82843i q^{11} +(1.00000 - 1.41421i) q^{12} +(2.73205 + 0.732051i) q^{13} +(1.50000 - 2.59808i) q^{14} +(-1.55670 + 3.54636i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.61571 + 6.02993i) q^{17} +(2.70711 + 1.29289i) q^{18} +(4.33013 + 0.500000i) q^{19} +(-0.707107 + 2.12132i) q^{20} +(4.87453 + 1.79970i) q^{21} +(-5.62983 + 1.50851i) q^{22} +(0.776457 - 2.89778i) q^{23} +(1.62484 + 0.599900i) q^{24} +(0.598076 - 4.96410i) q^{25} +2.82843i q^{26} +(-1.41421 + 5.00000i) q^{27} +(2.89778 + 0.776457i) q^{28} +(4.41421 + 7.64564i) q^{29} +(-3.82843 - 0.585786i) q^{30} -2.24264 q^{31} +(0.965926 + 0.258819i) q^{32} +(-4.22412 - 9.16889i) q^{33} +(-5.40629 + 3.12132i) q^{34} +(-6.69615 - 0.401924i) q^{35} +(-0.548188 + 2.94949i) q^{36} +(2.12132 + 2.12132i) q^{37} +(0.637756 + 4.31199i) q^{38} +(-4.82843 + 0.828427i) q^{39} +(-2.23205 - 0.133975i) q^{40} +(2.59808 + 1.50000i) q^{41} +(-0.476756 + 5.17423i) q^{42} +(1.09808 + 4.09808i) q^{43} +(-2.91421 - 5.04757i) q^{44} +(-0.121320 - 6.70711i) q^{45} +3.00000 q^{46} +(-10.1280 - 2.71379i) q^{47} +(-0.158919 + 1.72474i) q^{48} +2.00000i q^{49} +(4.94975 - 0.707107i) q^{50} +(-6.91189 - 8.31489i) q^{51} +(-2.73205 + 0.732051i) q^{52} +(1.93733 - 7.23023i) q^{53} +(-5.19565 - 0.0719302i) q^{54} +(8.64684 + 9.75115i) q^{55} +3.00000i q^{56} +(-7.17423 + 2.35167i) q^{57} +(-6.24264 + 6.24264i) q^{58} +(2.82843 - 4.89898i) q^{59} +(-0.425044 - 3.84959i) q^{60} +(3.12132 + 5.40629i) q^{61} +(-0.580438 - 2.16622i) q^{62} +(-8.97261 + 0.701625i) q^{63} +1.00000i q^{64} +(5.65685 - 2.82843i) q^{65} +(7.76318 - 6.45327i) q^{66} +(-1.46410 + 5.46410i) q^{67} +(-4.41421 - 4.41421i) q^{68} +(0.878680 + 5.12132i) q^{69} +(-1.34486 - 6.57201i) q^{70} +(11.6170 + 6.70711i) q^{71} +(-2.99087 + 0.233875i) q^{72} +(-2.00775 - 7.49303i) q^{73} +(-1.50000 + 2.59808i) q^{74} +(2.65685 + 8.24264i) q^{75} +(-4.00000 + 1.73205i) q^{76} +(12.3640 - 12.3640i) q^{77} +(-2.04989 - 4.44949i) q^{78} +(9.08052 + 5.24264i) q^{79} +(-0.448288 - 2.19067i) q^{80} +(-1.39898 - 8.89060i) q^{81} +(-0.776457 + 2.89778i) q^{82} +(-3.00000 - 3.00000i) q^{83} +(-5.12132 + 0.878680i) q^{84} +(11.6489 + 7.69125i) q^{85} +(-3.67423 + 2.12132i) q^{86} +(-12.4853 - 8.82843i) q^{87} +(4.12132 - 4.12132i) q^{88} +(3.08579 + 5.34474i) q^{89} +(6.44717 - 1.85311i) q^{90} +(-4.24264 - 7.34847i) q^{91} +(0.776457 + 2.89778i) q^{92} +(3.52797 - 1.62534i) q^{93} -10.4853i q^{94} +(7.98623 - 5.58750i) q^{95} +(-1.70711 + 0.292893i) q^{96} +(-2.40060 + 0.643238i) q^{97} +(-1.93185 + 0.517638i) q^{98} +(13.2902 + 11.3625i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q - 4 q^{6} - 4 q^{9}+O(q^{10}) $ 8 * q - 4 * q^6 - 4 * q^9	$ 8 q - 4 q^{6} - 4 q^{9} + 8 q^{10} + 8 q^{12} + 8 q^{13} + 12 q^{14} + 12 q^{15} + 4 q^{16} - 12 q^{17} + 16 q^{18} + 12 q^{21} - 8 q^{22} + 4 q^{24} - 16 q^{25} + 24 q^{29} - 8 q^{30} + 16 q^{31} + 12 q^{33} - 12 q^{35} - 16 q^{39} - 4 q^{40} - 12 q^{43} - 12 q^{44} + 16 q^{45} + 24 q^{46} - 24 q^{47} - 20 q^{51} - 8 q^{52} - 24 q^{53} + 4 q^{54} - 8 q^{55} - 28 q^{57} - 16 q^{58} + 4 q^{60} + 8 q^{61} + 12 q^{62} - 24 q^{63} - 4 q^{66} + 16 q^{67} - 24 q^{68} + 24 q^{69} - 8 q^{72} - 12 q^{73} - 12 q^{74} - 24 q^{75} - 32 q^{76} + 48 q^{77} + 28 q^{81} - 24 q^{83} - 24 q^{84} + 16 q^{85} - 32 q^{87} + 16 q^{88} + 36 q^{89} + 8 q^{90} + 24 q^{93} - 8 q^{96} - 24 q^{97} + 32 q^{99}+O(q^{100}) $ 8 * q - 4 * q^6 - 4 * q^9 + 8 * q^10 + 8 * q^12 + 8 * q^13 + 12 * q^14 + 12 * q^15 + 4 * q^16 - 12 * q^17 + 16 * q^18 + 12 * q^21 - 8 * q^22 + 4 * q^24 - 16 * q^25 + 24 * q^29 - 8 * q^30 + 16 * q^31 + 12 * q^33 - 12 * q^35 - 16 * q^39 - 4 * q^40 - 12 * q^43 - 12 * q^44 + 16 * q^45 + 24 * q^46 - 24 * q^47 - 20 * q^51 - 8 * q^52 - 24 * q^53 + 4 * q^54 - 8 * q^55 - 28 * q^57 - 16 * q^58 + 4 * q^60 + 8 * q^61 + 12 * q^62 - 24 * q^63 - 4 * q^66 + 16 * q^67 - 24 * q^68 + 24 * q^69 - 8 * q^72 - 12 * q^73 - 12 * q^74 - 24 * q^75 - 32 * q^76 + 48 * q^77 + 28 * q^81 - 24 * q^83 - 24 * q^84 + 16 * q^85 - 32 * q^87 + 16 * q^88 + 36 * q^89 + 8 * q^90 + 24 * q^93 - 8 * q^96 - 24 * q^97 + 32 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$191$	$211$	$457$
$\chi(n)$	$-1$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.258819	+	0.965926i	0.183013	+	0.683013i
$2$	0.258819	+	0.965926i	0.183013	+	0.683013i
$3$	−1.57313	+	0.724745i	−0.908248	+	0.418432i
$3$	−1.57313	+	0.724745i	−0.908248	+	0.418432i
$4$	−0.866025	+	0.500000i	−0.433013	+	0.250000i
$5$	1.67303	−	1.48356i	0.748203	−	0.663470i
$5$	1.67303	−	1.48356i	0.748203	−	0.663470i
$6$	−1.10721	−	1.33195i	−0.452015	−	0.543767i
$7$	−2.12132	−	2.12132i	−0.801784	−	0.801784i	0.181591	−	0.983374i	$-0.441875\pi$
$7$	−2.12132	−	2.12132i	−0.801784	−	0.801784i	−0.983374	+	0.181591i	$0.941875\pi$
$8$	−0.707107	−	0.707107i	−0.250000	−	0.250000i
$9$	1.94949	−	2.28024i	0.649830	−	0.760080i
$10$	1.86603	+	1.23205i	0.590089	+	0.389609i
$11$			5.82843i			1.75734i	0.477432	+	0.878668i	$0.341568\pi$
$11$			5.82843i			1.75734i	−0.477432	+	0.878668i	$0.658432\pi$
$12$	1.00000	−	1.41421i	0.288675	−	0.408248i
$13$	2.73205	+	0.732051i	0.757735	+	0.203034i	0.616946	−	0.787005i	$-0.288370\pi$
$13$	2.73205	+	0.732051i	0.757735	+	0.203034i	0.140788	+	0.990040i	$0.455036\pi$
$14$	1.50000	−	2.59808i	0.400892	−	0.694365i
$15$	−1.55670	+	3.54636i	−0.401937	+	0.915667i
$16$	0.500000	−	0.866025i	0.125000	−	0.216506i
$17$	1.61571	+	6.02993i	0.391868	+	1.46247i	0.827049	+	0.562129i	$0.190018\pi$
$17$	1.61571	+	6.02993i	0.391868	+	1.46247i	−0.435181	+	0.900343i	$0.643316\pi$
$18$	2.70711	+	1.29289i	0.638071	+	0.304738i
$19$	4.33013	+	0.500000i	0.993399	+	0.114708i
$19$	4.33013	+	0.500000i	0.993399	+	0.114708i
$20$	−0.707107	+	2.12132i	−0.158114	+	0.474342i
$21$	4.87453	+	1.79970i	1.06371	+	0.392727i
$22$	−5.62983	+	1.50851i	−1.20028	+	0.321615i
$23$	0.776457	−	2.89778i	0.161903	−	0.604228i	−0.836512	−	0.547948i	$-0.815409\pi$
$23$	0.776457	−	2.89778i	0.161903	−	0.604228i	0.998415	−	0.0562805i	$-0.0179241\pi$
$24$	1.62484	+	0.599900i	0.331670	+	0.122454i
$25$	0.598076	−	4.96410i	0.119615	−	0.992820i
$26$			2.82843i			0.554700i
$27$	−1.41421	+	5.00000i	−0.272166	+	0.962250i
$28$	2.89778	+	0.776457i	0.547628	+	0.146737i
$29$	4.41421	+	7.64564i	0.819699	+	1.41976i	0.905904	+	0.423483i	$0.139193\pi$
$29$	4.41421	+	7.64564i	0.819699	+	1.41976i	−0.0862053	+	0.996277i	$0.527474\pi$
$30$	−3.82843	−	0.585786i	−0.698972	−	0.106949i
$31$	−2.24264			−0.402790			−0.201395	−	0.979510i	$-0.564548\pi$
$31$	−2.24264			−0.402790			−0.201395	+	0.979510i	$0.564548\pi$
$32$	0.965926	+	0.258819i	0.170753	+	0.0457532i
$33$	−4.22412	−	9.16889i	−0.735325	−	1.59610i
$34$	−5.40629	+	3.12132i	−0.927170	+	0.535302i
$35$	−6.69615	−	0.401924i	−1.13186	−	0.0679375i
$36$	−0.548188	+	2.94949i	−0.0913647	+	0.491582i
$37$	2.12132	+	2.12132i	0.348743	+	0.348743i	0.859641	−	0.510898i	$-0.170687\pi$
$37$	2.12132	+	2.12132i	0.348743	+	0.348743i	−0.510898	+	0.859641i	$0.670687\pi$
$38$	0.637756	+	4.31199i	0.103458	+	0.699497i
$39$	−4.82843	+	0.828427i	−0.773167	+	0.132655i
$40$	−2.23205	−	0.133975i	−0.352918	−	0.0211832i
$41$	2.59808	+	1.50000i	0.405751	+	0.234261i	0.688963	−	0.724797i	$-0.258066\pi$
$41$	2.59808	+	1.50000i	0.405751	+	0.234261i	−0.283211	+	0.959058i	$0.591400\pi$
$42$	−0.476756	+	5.17423i	−0.0735650	+	0.798402i
$43$	1.09808	+	4.09808i	0.167455	+	0.624951i	0.997714	+	0.0675734i	$0.0215257\pi$
$43$	1.09808	+	4.09808i	0.167455	+	0.624951i	−0.830259	+	0.557377i	$0.811808\pi$
$44$	−2.91421	−	5.04757i	−0.439334	−	0.760949i
$45$	−0.121320	−	6.70711i	−0.0180854	−	0.999836i
$46$	3.00000			0.442326
$47$	−10.1280	−	2.71379i	−1.47732	−	0.395847i	−0.571887	−	0.820333i	$-0.693788\pi$
$47$	−10.1280	−	2.71379i	−1.47732	−	0.395847i	−0.905435	+	0.424486i	$0.860455\pi$
$48$	−0.158919	+	1.72474i	−0.0229379	+	0.248945i
$49$			2.00000i			0.285714i
$50$	4.94975	−	0.707107i	0.700000	−	0.100000i
$51$	−6.91189	−	8.31489i	−0.967858	−	1.16432i
$52$	−2.73205	+	0.732051i	−0.378867	+	0.101517i
$53$	1.93733	−	7.23023i	0.266113	−	0.993148i	−0.695452	−	0.718572i	$-0.744796\pi$
$53$	1.93733	−	7.23023i	0.266113	−	0.993148i	0.961565	−	0.274576i	$-0.0885374\pi$
$54$	−5.19565	−	0.0719302i	−0.707039	−	0.00978846i
$55$	8.64684	+	9.75115i	1.16594	+	1.31484i
$56$			3.00000i			0.400892i
$57$	−7.17423	+	2.35167i	−0.950251	+	0.311486i
$58$	−6.24264	+	6.24264i	−0.819699	+	0.819699i
$59$	2.82843	−	4.89898i	0.368230	−	0.637793i	−0.621059	−	0.783764i	$-0.713297\pi$
$59$	2.82843	−	4.89898i	0.368230	−	0.637793i	0.989289	+	0.145971i	$0.0466306\pi$
$60$	−0.425044	−	3.84959i	−0.0548729	−	0.496980i
$61$	3.12132	+	5.40629i	0.399644	+	0.692204i	0.993682	−	0.112233i	$-0.0358004\pi$
$61$	3.12132	+	5.40629i	0.399644	+	0.692204i	−0.594038	+	0.804437i	$0.702467\pi$
$62$	−0.580438	−	2.16622i	−0.0737157	−	0.275111i
$63$	−8.97261	+	0.701625i	−1.13044	+	0.0883964i
$64$			1.00000i			0.125000i
$65$	5.65685	−	2.82843i	0.701646	−	0.350823i
$66$	7.76318	−	6.45327i	0.955581	−	0.794343i
$67$	−1.46410	+	5.46410i	−0.178868	+	0.667546i	0.816992	+	0.576649i	$0.195640\pi$
$67$	−1.46410	+	5.46410i	−0.178868	+	0.667546i	−0.995860	+	0.0908970i	$0.971027\pi$
$68$	−4.41421	−	4.41421i	−0.535302	−	0.535302i
$69$	0.878680	+	5.12132i	0.105781	+	0.616535i
$70$	−1.34486	−	6.57201i	−0.160742	−	0.785506i
$71$	11.6170	+	6.70711i	1.37869	+	0.795987i	0.992002	−	0.126223i	$-0.0402856\pi$
$71$	11.6170	+	6.70711i	1.37869	+	0.795987i	0.386688	+	0.922210i	$0.373619\pi$
$72$	−2.99087	+	0.233875i	−0.352477	+	0.0275624i
$73$	−2.00775	−	7.49303i	−0.234990	−	0.876993i	−0.978154	−	0.207884i	$-0.933342\pi$
$73$	−2.00775	−	7.49303i	−0.234990	−	0.876993i	0.743164	−	0.669109i	$-0.233324\pi$
$74$	−1.50000	+	2.59808i	−0.174371	+	0.302020i
$75$	2.65685	+	8.24264i	0.306787	+	0.951778i
$76$	−4.00000	+	1.73205i	−0.458831	+	0.198680i
$77$	12.3640	−	12.3640i	1.40900	−	1.40900i
$78$	−2.04989	−	4.44949i	−0.232104	−	0.503806i
$79$	9.08052	+	5.24264i	1.02164	+	0.589843i	0.914578	−	0.404409i	$-0.132523\pi$
$79$	9.08052	+	5.24264i	1.02164	+	0.589843i	0.107060	+	0.994253i	$0.465856\pi$
$80$	−0.448288	−	2.19067i	−0.0501201	−	0.244924i
$81$	−1.39898	−	8.89060i	−0.155442	−	0.987845i
$82$	−0.776457	+	2.89778i	−0.0857453	+	0.320006i
$83$	−3.00000	−	3.00000i	−0.329293	−	0.329293i	0.523025	−	0.852318i	$-0.324804\pi$
$83$	−3.00000	−	3.00000i	−0.329293	−	0.329293i	−0.852318	+	0.523025i	$0.824804\pi$
$84$	−5.12132	+	0.878680i	−0.558782	+	0.0958718i
$85$	11.6489	+	7.69125i	1.26350	+	0.834233i
$86$	−3.67423	+	2.12132i	−0.396203	+	0.228748i
$87$	−12.4853	−	8.82843i	−1.33856	−	0.946507i
$88$	4.12132	−	4.12132i	0.439334	−	0.439334i
$89$	3.08579	+	5.34474i	0.327093	+	0.566541i	0.981934	−	0.189226i	$-0.0605977\pi$
$89$	3.08579	+	5.34474i	0.327093	+	0.566541i	−0.654841	+	0.755767i	$0.727264\pi$
$90$	6.44717	−	1.85311i	0.679591	−	0.195335i
$91$	−4.24264	−	7.34847i	−0.444750	−	0.770329i
$92$	0.776457	+	2.89778i	0.0809513	+	0.302114i
$93$	3.52797	−	1.62534i	0.365833	−	0.168540i
$94$		−	10.4853i		−	1.08147i
$95$	7.98623	−	5.58750i	0.819369	−	0.573266i
$96$	−1.70711	+	0.292893i	−0.174231	+	0.0298933i
$97$	−2.40060	+	0.643238i	−0.243744	+	0.0653109i	−0.378623	−	0.925551i	$-0.623602\pi$
$97$	−2.40060	+	0.643238i	−0.243744	+	0.0653109i	0.134879	+	0.990862i	$0.456935\pi$
$98$	−1.93185	+	0.517638i	−0.195146	+	0.0522893i
$99$	13.2902	+	11.3625i	1.33572	+	1.14197i
$100$	1.96410	+	4.59808i	0.196410	+	0.459808i
$101$	−4.60181	+	2.65685i	−0.457897	+	0.264367i	−0.711160	−	0.703031i	$-0.751830\pi$
$101$	−4.60181	+	2.65685i	−0.457897	+	0.264367i	0.253263	+	0.967398i	$0.418496\pi$
$102$	6.24264	−	8.82843i	0.618114	−	0.874145i
$103$	2.12132	−	2.12132i	0.209020	−	0.209020i	−0.594831	−	0.803851i	$-0.702781\pi$
$103$	2.12132	−	2.12132i	0.209020	−	0.209020i	0.803851	+	0.594831i	$0.202781\pi$
$104$	−1.41421	−	2.44949i	−0.138675	−	0.240192i
$105$	10.8252	−	4.22072i	1.05643	−	0.411900i
$106$	7.48528			0.727035
$107$	6.00000	−	6.00000i	0.580042	−	0.580042i	−0.354873	−	0.934915i	$-0.615476\pi$
$107$	6.00000	−	6.00000i	0.580042	−	0.580042i	0.934915	+	0.354873i	$0.115476\pi$
$108$	−1.27526	−	5.03723i	−0.122711	−	0.484708i
$109$	−5.40629	−	3.12132i	−0.517828	−	0.298968i	0.218217	−	0.975900i	$-0.429976\pi$
$109$	−5.40629	−	3.12132i	−0.517828	−	0.298968i	−0.736046	+	0.676932i	$0.763309\pi$
$110$	−7.18092	+	10.8760i	−0.684674	+	1.03699i
$111$	−4.87453	−	1.79970i	−0.462670	−	0.170820i
$112$	−2.89778	+	0.776457i	−0.273814	+	0.0733683i
$113$	−14.1421	−	14.1421i	−1.33038	−	1.33038i	−0.905028	−	0.425352i	$-0.860150\pi$
$113$	−14.1421	−	14.1421i	−1.33038	−	1.33038i	−0.425352	−	0.905028i	$-0.639850\pi$
$114$	−4.12837	−	6.32112i	−0.386657	−	0.592027i
$115$	−3.00000	−	6.00000i	−0.279751	−	0.559503i
$116$	−7.64564	−	4.41421i	−0.709880	−	0.409849i
$117$	6.99536	−	4.80260i	0.646721	−	0.444001i
$118$	5.46410	+	1.46410i	0.503011	+	0.134781i
$119$	9.36396	−	16.2189i	0.858393	−	1.48678i
$120$	3.60841	−	1.40691i	0.329401	−	0.128433i
$121$	−22.9706			−2.08823
$122$	−4.41421	+	4.41421i	−0.399644	+	0.399644i
$123$	−5.17423	−	0.476756i	−0.466545	−	0.0429876i
$124$	1.94218	−	1.12132i	0.174413	−	0.100698i
$125$	−6.36396	−	9.19239i	−0.569210	−	0.822192i
$126$	−3.00000	−	8.48528i	−0.267261	−	0.755929i
$127$	−2.24056	+	8.36188i	−0.198817	+	0.741997i	0.792428	+	0.609965i	$0.208817\pi$
$127$	−2.24056	+	8.36188i	−0.198817	+	0.741997i	−0.991246	+	0.132031i	$0.957850\pi$
$128$	−0.965926	+	0.258819i	−0.0853766	+	0.0228766i
$129$	−4.69748	−	5.65099i	−0.413590	−	0.497542i
$130$	4.19615	+	4.73205i	0.368027	+	0.415028i
$131$	−12.9904	−	7.50000i	−1.13497	−	0.655278i	−0.189794	−	0.981824i	$-0.560782\pi$
$131$	−12.9904	−	7.50000i	−1.13497	−	0.655278i	−0.945181	+	0.326546i	$0.894115\pi$
$132$	8.24264	+	5.82843i	0.717430	+	0.507299i
$133$	−8.12493	−	10.2462i	−0.704520	−	0.888462i
$134$	−5.65685			−0.488678
$135$	5.05179	+	10.4632i	0.434789	+	0.900532i
$136$	3.12132	−	5.40629i	0.267651	−	0.463585i
$137$	3.39496	+	0.909676i	0.290051	+	0.0777189i	0.400911	−	0.916117i	$-0.368694\pi$
$137$	3.39496	+	0.909676i	0.290051	+	0.0777189i	−0.110860	+	0.993836i	$0.535360\pi$
$138$	−4.71940	+	2.17423i	−0.401742	+	0.185083i
$139$	12.1244	−	7.00000i	1.02837	−	0.593732i	0.111856	−	0.993724i	$-0.464321\pi$
$139$	12.1244	−	7.00000i	1.02837	−	0.593732i	0.916519	+	0.399992i	$0.130987\pi$
$140$	6.00000	−	3.00000i	0.507093	−	0.253546i
$141$	17.8995	−	3.07107i	1.50741	−	0.258631i
$142$	−3.47185	+	12.9571i	−0.291352	+	1.08734i
$143$	−4.26670	+	15.9236i	−0.356800	+	1.33159i
$144$	−1.00000	−	2.82843i	−0.0833333	−	0.235702i
$145$	18.7279	+	6.24264i	1.55527	+	0.518423i
$146$	6.71807	−	3.87868i	0.555991	−	0.321002i
$147$	−1.44949	−	3.14626i	−0.119552	−	0.259500i
$148$	−2.89778	−	0.776457i	−0.238196	−	0.0638244i
$149$	−5.65685	+	9.79796i	−0.463428	+	0.802680i	−0.999129	−	0.0417274i	$-0.986714\pi$
$149$	−5.65685	+	9.79796i	−0.463428	+	0.802680i	0.535701	+	0.844407i	$0.320047\pi$
$150$	−7.27414	+	4.69968i	−0.593931	+	0.383727i
$151$	14.7279			1.19854			0.599271	−	0.800546i	$-0.295457\pi$
$151$	14.7279			1.19854			0.599271	+	0.800546i	$0.295457\pi$
$152$	−2.70831	−	3.41542i	−0.219673	−	0.277027i
$153$	16.8995	+	8.07107i	1.36624	+	0.652507i
$154$	15.1427	+	8.74264i	1.22023	+	0.704502i
$155$	−3.75201	+	3.32710i	−0.301369	+	0.267239i
$156$	3.76733	−	3.13165i	0.301628	−	0.250733i
$157$	5.96128	−	1.59732i	0.475762	−	0.127480i	−0.0129665	−	0.999916i	$-0.504127\pi$
$157$	5.96128	−	1.59732i	0.475762	−	0.127480i	0.488729	+	0.872436i	$0.337461\pi$
$158$	−2.71379	+	10.1280i	−0.215898	+	0.805741i
$159$	2.19239	+	12.7782i	0.173868	+	1.01338i
$160$	2.00000	−	1.00000i	0.158114	−	0.0790569i
$161$	−7.79423	+	4.50000i	−0.614271	+	0.354650i
$162$	8.22558	−	3.65237i	0.646263	−	0.286957i
$163$	−5.75736	+	5.75736i	−0.450951	+	0.450951i	−0.895670	−	0.444719i	$-0.853304\pi$
$163$	−5.75736	+	5.75736i	−0.450951	+	0.450951i	0.444719	+	0.895670i	$0.353304\pi$
$164$	−3.00000			−0.234261
$165$	−20.6697	−	9.07309i	−1.60914	−	0.706339i
$166$	2.12132	−	3.67423i	0.164646	−	0.285176i
$167$	6.29273	+	1.68613i	0.486946	+	0.130477i	0.493935	−	0.869499i	$-0.335558\pi$
$167$	6.29273	+	1.68613i	0.486946	+	0.130477i	−0.00698883	+	0.999976i	$0.502225\pi$
$168$	−2.17423	−	4.71940i	−0.167746	−	0.364109i
$169$	−4.33013	−	2.50000i	−0.333087	−	0.192308i
$170$	−4.41421	+	13.2426i	−0.338555	+	1.01566i
$171$	9.58166	−	8.89898i	0.732728	−	0.680522i
$172$	−3.00000	−	3.00000i	−0.228748	−	0.228748i
$173$	13.4945	−	3.61585i	1.02597	−	0.274908i	0.293682	−	0.955903i	$-0.405119\pi$
$173$	13.4945	−	3.61585i	1.02597	−	0.274908i	0.732288	+	0.680995i	$0.238453\pi$
$174$	5.29618	−	14.3448i	0.401502	−	1.08748i
$175$	−11.7992	+	9.26174i	−0.891933	+	0.700122i
$176$	5.04757	+	2.91421i	0.380475	+	0.219667i
$177$	−0.898979	+	9.75663i	−0.0675714	+	0.733353i
$178$	−4.36396	+	4.36396i	−0.327093	+	0.327093i
$179$	−20.6569			−1.54397			−0.771983	−	0.635643i	$-0.780735\pi$
$179$	−20.6569			−1.54397			−0.771983	+	0.635643i	$0.780735\pi$
$180$	3.45862	+	5.74786i	0.257790	+	0.428421i
$181$	1.24264	+	2.15232i	0.0923648	+	0.159980i	0.908506	−	0.417872i	$-0.137224\pi$
$181$	1.24264	+	2.15232i	0.0923648	+	0.159980i	−0.816141	+	0.577853i	$0.803891\pi$
$182$	6.00000	−	6.00000i	0.444750	−	0.444750i
$183$	−8.82843	−	6.24264i	−0.652616	−	0.461469i
$184$	−2.59808	+	1.50000i	−0.191533	+	0.110581i
$185$	6.69615	+	0.401924i	0.492311	+	0.0295500i
$186$	2.48307	+	2.98709i	0.182067	+	0.219024i
$187$	−35.1450	+	9.41707i	−2.57006	+	0.688645i
$188$	10.1280	−	2.71379i	0.738661	−	0.197924i
$189$	13.6066	−	7.60660i	0.989735	−	0.553299i
$190$	7.46410	+	6.26795i	0.541503	+	0.454725i
$191$		−	13.4142i		−	0.970618i	−0.874343	−	0.485309i	$-0.838707\pi$
$191$		−	13.4142i		−	0.970618i	0.874343	−	0.485309i	$-0.161293\pi$
$192$	−0.724745	−	1.57313i	−0.0523040	−	0.113531i
$193$	3.10583	+	11.5911i	0.223562	+	0.834346i	0.982975	+	0.183737i	$0.0588196\pi$
$193$	3.10583	+	11.5911i	0.223562	+	0.834346i	−0.759413	+	0.650609i	$0.774514\pi$
$194$	−1.24264	−	2.15232i	−0.0892164	−	0.154527i
$195$	−6.84909	+	8.54927i	−0.490474	+	0.612226i
$196$	−1.00000	−	1.73205i	−0.0714286	−	0.123718i
$197$	−18.0208	+	18.0208i	−1.28393	+	1.28393i	−0.345518	+	0.938412i	$0.612297\pi$
$197$	−18.0208	+	18.0208i	−1.28393	+	1.28393i	−0.938412	+	0.345518i	$0.887703\pi$
$198$	−7.53553	+	15.7782i	−0.535527	+	1.12131i
$199$	−4.98602	+	2.87868i	−0.353450	+	0.204064i	−0.666204	−	0.745770i	$-0.732082\pi$
$199$	−4.98602	+	2.87868i	−0.353450	+	0.204064i	0.312754	+	0.949834i	$0.398748\pi$
$200$	−3.93305	+	3.08725i	−0.278109	+	0.218301i
$201$	−1.65685	−	9.65685i	−0.116865	−	0.681142i
$202$	−3.75736	−	3.75736i	−0.264367	−	0.264367i
$203$	6.85490	−	25.5828i	0.481119	−	1.79556i
$204$	10.1433	+	3.74496i	0.710174	+	0.262200i
$205$	6.57201	−	1.34486i	0.459009	−	0.0939293i
$206$	2.59808	+	1.50000i	0.181017	+	0.104510i
$207$	−5.09393	−	7.41970i	−0.354053	−	0.515704i
$208$	2.00000	−	2.00000i	0.138675	−	0.138675i
$209$	−2.91421	+	25.2378i	−0.201580	+	1.74574i
$210$	6.87868	+	9.36396i	0.474674	+	0.646175i
$211$	6.74264	−	11.6786i	0.464183	−	0.803988i	−0.534982	−	0.844864i	$-0.679682\pi$
$211$	6.74264	−	11.6786i	0.464183	−	0.803988i	0.999164	+	0.0408759i	$0.0130148\pi$
$212$	1.93733	+	7.23023i	0.133057	+	0.496574i
$213$	−23.1361	−	2.13177i	−1.58526	−	0.146066i
$214$	7.34847	+	4.24264i	0.502331	+	0.290021i
$215$	7.91688	+	5.22715i	0.539926	+	0.356489i
$216$	4.53553	−	2.53553i	0.308604	−	0.172521i
$217$	4.75736	+	4.75736i	0.322951	+	0.322951i
$218$	1.61571	−	6.02993i	0.109430	−	0.408398i
$219$	8.58900	+	10.3324i	0.580391	+	0.698201i
$220$	−12.3640	−	4.12132i	−0.833578	−	0.277859i
$221$			17.6569i			1.18773i
$222$	0.476756	−	5.17423i	0.0319978	−	0.347272i
$223$	0.133219	+	0.497180i	0.00892100	+	0.0332936i	0.970243	−	0.242134i	$-0.0778473\pi$
$223$	0.133219	+	0.497180i	0.00892100	+	0.0332936i	−0.961322	+	0.275427i	$0.911181\pi$
$224$	−1.50000	−	2.59808i	−0.100223	−	0.173591i
$225$	−10.1534	−	11.0412i	−0.676893	−	0.736081i
$226$	10.0000	−	17.3205i	0.665190	−	1.15214i
$227$	7.75736	−	7.75736i	0.514874	−	0.514874i	−0.401142	−	0.916016i	$-0.631387\pi$
$227$	7.75736	−	7.75736i	0.514874	−	0.514874i	0.916016	+	0.401142i	$0.131387\pi$
$228$	5.03723	−	5.62372i	0.333599	−	0.372440i
$229$		−	24.2426i		−	1.60200i	−0.598665	−	0.800999i	$-0.704302\pi$
$229$		−	24.2426i		−	1.60200i	0.598665	−	0.800999i	$-0.295698\pi$
$230$	5.01910	−	4.45069i	0.330950	−	0.293470i
$231$	−10.4894	+	28.4109i	−0.690154	+	1.86930i
$232$	2.28497	−	8.52761i	0.150015	−	0.559865i
$233$	−6.26430	+	1.67851i	−0.410388	+	0.109963i	−0.458106	−	0.888898i	$-0.651472\pi$
$233$	−6.26430	+	1.67851i	−0.410388	+	0.109963i	0.0477177	+	0.998861i	$0.484805\pi$
$234$	6.44949	+	5.51399i	0.421616	+	0.360461i
$235$	−20.9706	+	10.4853i	−1.36797	+	0.683984i
$236$			5.65685i			0.368230i
$237$	−18.0844	−	1.66631i	−1.17471	−	0.108238i
$238$	18.0898	+	4.84714i	1.17259	+	0.314194i
$239$	−23.3137			−1.50804			−0.754019	−	0.656852i	$-0.771887\pi$
$239$	−23.3137			−1.50804			−0.754019	+	0.656852i	$0.771887\pi$
$240$	2.29289	+	3.12132i	0.148006	+	0.201480i
$241$	−8.24264	−	14.2767i	−0.530955	−	0.919641i	−0.999347	−	0.0361207i	$-0.988500\pi$
$241$	−8.24264	−	14.2767i	−0.530955	−	0.919641i	0.468392	−	0.883521i	$-0.344833\pi$
$242$	−5.94522	−	22.1879i	−0.382173	−	1.42629i
$243$	8.64420	+	12.9722i	0.554526	+	0.832167i
$244$	−5.40629	−	3.12132i	−0.346102	−	0.199822i
$245$	2.96713	+	3.34607i	0.189563	+	0.213772i
$246$	−0.878680	−	5.12132i	−0.0560226	−	0.326523i
$247$	11.4641	+	4.53590i	0.729443	+	0.288612i
$248$	1.58579	+	1.58579i	0.100698	+	0.100698i
$249$	6.89363	+	2.54516i	0.436866	+	0.161293i
$250$	7.23205	−	8.52628i	0.457395	−	0.539249i
$251$	−4.60181	+	2.65685i	−0.290463	+	0.167699i	−0.638151	−	0.769911i	$-0.720300\pi$
$251$	−4.60181	+	2.65685i	−0.290463	+	0.167699i	0.347687	+	0.937611i	$0.386967\pi$
$252$	7.41970	−	5.09393i	0.467397	−	0.320887i
$253$	16.8895	+	4.52552i	1.06183	+	0.284517i
$254$	−8.65685			−0.543179
$255$	−23.8995	−	3.65685i	−1.49664	−	0.229001i
$256$	−0.500000	−	0.866025i	−0.0312500	−	0.0541266i
$257$	−0.234373	−	0.0628000i	−0.0146198	−	0.00391736i	0.251502	−	0.967857i	$-0.419076\pi$
$257$	−0.234373	−	0.0628000i	−0.0146198	−	0.00391736i	−0.266122	+	0.963939i	$0.585742\pi$
$258$	4.24264	−	6.00000i	0.264135	−	0.373544i
$259$		−	9.00000i		−	0.559233i
$260$	−3.48477	+	5.27792i	−0.216116	+	0.327323i
$261$	26.0394	+	4.83964i	1.61180	+	0.299566i
$262$	3.88229	−	14.4889i	0.239848	−	0.895126i
$263$	14.9576	−	4.00789i	0.922327	−	0.247137i	0.233747	−	0.972297i	$-0.424901\pi$
$263$	14.9576	−	4.00789i	0.922327	−	0.247137i	0.688580	+	0.725161i	$0.258234\pi$
$264$	−3.49648	+	9.47029i	−0.215193	+	0.582856i
$265$	−7.48528	−	14.9706i	−0.459817	−	0.919634i
$266$	7.79423	−	10.5000i	0.477895	−	0.643796i
$267$	−8.72792	−	6.17157i	−0.534140	−	0.377694i
$268$	−1.46410	−	5.46410i	−0.0894342	−	0.333773i
$269$	12.5355	−	21.7122i	0.764305	−	1.32382i	−0.176308	−	0.984335i	$-0.556416\pi$
$269$	12.5355	−	21.7122i	0.764305	−	1.32382i	0.940613	−	0.339480i	$-0.110251\pi$
$270$	−8.79921	+	7.58774i	−0.535503	+	0.461775i
$271$	1.00000	−	1.73205i	0.0607457	−	0.105215i	−0.834053	−	0.551684i	$-0.813985\pi$
$271$	1.00000	−	1.73205i	0.0607457	−	0.105215i	0.894799	+	0.446469i	$0.147319\pi$
$272$	6.02993	+	1.61571i	0.365618	+	0.0979671i
$273$	12.0000	+	8.48528i	0.726273	+	0.513553i
$274$			3.51472i			0.212332i
$275$	28.9329	+	3.48584i	1.74472	+	0.210204i
$276$	−3.32162	−	3.99585i	−0.199938	−	0.240522i
$277$	3.51472	+	3.51472i	0.211179	+	0.211179i	0.804768	−	0.593589i	$-0.202290\pi$
$277$	3.51472	+	3.51472i	0.211179	+	0.211179i	−0.593589	+	0.804768i	$0.702290\pi$
$278$	9.89949	+	9.89949i	0.593732	+	0.593732i
$279$	−4.37201	+	5.11376i	−0.261745	+	0.306153i
$280$	4.45069	+	5.01910i	0.265980	+	0.299948i
$281$	−10.2437	+	5.91421i	−0.611089	+	0.352812i	−0.773392	−	0.633929i	$-0.781441\pi$
$281$	−10.2437	+	5.91421i	−0.611089	+	0.352812i	0.162303	+	0.986741i	$0.448108\pi$
$282$	7.59915	+	16.4947i	0.452523	+	0.982247i
$283$	0.0888127	+	0.331453i	0.00527936	+	0.0197029i	0.968515	−	0.248954i	$-0.0800869\pi$
$283$	0.0888127	+	0.331453i	0.00527936	+	0.0197029i	−0.963236	+	0.268657i	$0.913420\pi$
$284$	−13.4142			−0.795987
$285$	−8.51387	+	14.5779i	−0.504318	+	0.863518i
$286$	−16.4853			−0.974795
$287$	−2.32937	−	8.69333i	−0.137498	−	0.513151i
$288$	2.47323	−	1.69798i	0.145737	−	0.100054i
$289$	−19.0271	+	10.9853i	−1.11924	+	0.646193i
$290$	−1.18278	+	19.7055i	−0.0694555	+	1.15715i
$291$	3.31027	−	2.75172i	0.194052	−	0.161309i
$292$	5.48528	+	5.48528i	0.321002	+	0.321002i
$293$	5.63604	+	5.63604i	0.329261	+	0.329261i	0.852305	−	0.523044i	$-0.175204\pi$
$293$	5.63604	+	5.63604i	0.329261	+	0.329261i	−0.523044	+	0.852305i	$0.675204\pi$
$294$	2.66390	−	2.21441i	0.155362	−	0.129147i
$295$	−2.53590	−	12.3923i	−0.147646	−	0.721508i
$296$		−	3.00000i		−	0.174371i
$297$	−29.1421	−	8.24264i	−1.69100	−	0.478287i
$298$	−10.9282	−	2.92820i	−0.633054	−	0.169626i
$299$	4.24264	−	7.34847i	0.245358	−	0.424973i
$300$	−6.42222	−	5.80991i	−0.370787	−	0.335435i
$301$	6.36396	−	11.0227i	0.366813	−	0.635338i
$302$	3.81187	+	14.2261i	0.219348	+	0.818619i
$303$	5.31371	−	7.51472i	0.305265	−	0.431709i
$304$	2.59808	−	3.50000i	0.149010	−	0.200739i
$305$	13.2426	+	4.41421i	0.758271	+	0.252757i
$306$	−3.42214	+	18.4126i	−0.195631	+	1.05258i
$307$	7.86470	−	2.10734i	0.448862	−	0.120272i	−0.0273048	−	0.999627i	$-0.508692\pi$
$307$	7.86470	−	2.10734i	0.448862	−	0.120272i	0.476167	+	0.879355i	$0.342026\pi$
$308$	−4.52552	+	16.8895i	−0.257866	+	0.962368i
$309$	−1.79970	+	4.87453i	−0.102381	+	0.277303i
$310$	−4.18482	−	2.76305i	−0.237682	−	0.156931i
$311$			8.48528i			0.481156i	0.970630	+	0.240578i	$0.0773370\pi$
$311$			8.48528i			0.481156i	−0.970630	+	0.240578i	$0.922663\pi$
$312$	4.00000	+	2.82843i	0.226455	+	0.160128i
$313$	−9.23072	−	2.47337i	−0.521751	−	0.139803i	−0.0116748	−	0.999932i	$-0.503716\pi$
$313$	−9.23072	−	2.47337i	−0.521751	−	0.139803i	−0.510077	+	0.860129i	$0.670383\pi$
$314$	3.08579	+	5.34474i	0.174141	+	0.301621i
$315$	−13.9706	+	14.4853i	−0.787152	+	0.816153i
$316$	−10.4853			−0.589843
$317$	−21.6907	−	5.81200i	−1.21827	−	0.326434i	−0.408268	−	0.912862i	$-0.633867\pi$
$317$	−21.6907	−	5.81200i	−1.21827	−	0.326434i	−0.810002	+	0.586428i	$0.800534\pi$
$318$	−11.7753	+	5.42492i	−0.660328	+	0.304214i
$319$	−44.5621	+	25.7279i	−2.49500	+	1.44049i
$320$	1.48356	+	1.67303i	0.0829337	+	0.0935254i
$321$	−5.09032	+	13.7873i	−0.284114	+	0.769530i
$322$	−6.36396	−	6.36396i	−0.354650	−	0.354650i
$323$	3.98128	+	26.9182i	0.221525	+	1.49777i
$324$	5.65685	+	7.00000i	0.314270	+	0.388889i
$325$	5.26795	−	13.1244i	0.292213	−	0.728008i
$326$	−7.05130	−	4.07107i	−0.390535	−	0.225476i
$327$	10.7670	+	0.992072i	0.595414	+	0.0548617i
$328$	−0.776457	−	2.89778i	−0.0428727	−	0.160003i
$329$	15.7279	+	27.2416i	0.867108	+	1.50188i
$330$	3.41421	−	22.3137i	0.187946	−	1.22833i
$331$	−29.4853			−1.62066			−0.810329	−	0.585975i	$-0.800712\pi$
$331$	−29.4853			−1.62066			−0.810329	+	0.585975i	$0.800712\pi$
$332$	4.09808	+	1.09808i	0.224911	+	0.0602648i
$333$	8.97261	−	0.701625i	0.491696	−	0.0384488i
$334$			6.51472i			0.356470i
$335$	5.65685	+	11.3137i	0.309067	+	0.618134i
$336$	3.99585	−	3.32162i	0.217992	−	0.181209i
$337$	−13.9917	+	3.74907i	−0.762177	+	0.204225i	−0.618913	−	0.785460i	$-0.712427\pi$
$337$	−13.9917	+	3.74907i	−0.762177	+	0.204225i	−0.143264	+	0.989684i	$0.545760\pi$
$338$	1.29410	−	4.82963i	0.0703895	−	0.262697i
$339$	32.4969	+	11.9980i	1.76499	+	0.651642i
$340$	−13.9339	−	0.836355i	−0.755671	−	0.0453577i
$341$		−	13.0711i		−	0.707838i
$342$	11.0757	+	6.95195i	0.598904	+	0.375918i
$343$	−10.6066	+	10.6066i	−0.572703	+	0.572703i
$344$	2.12132	−	3.67423i	0.114374	−	0.198101i
$345$	9.06787	+	7.26456i	0.488197	+	0.391111i
$346$	6.98528	+	12.0989i	0.375531	+	0.650439i
$347$	5.94522	+	22.1879i	0.319156	+	1.19111i	0.920057	+	0.391784i	$0.128142\pi$
$347$	5.94522	+	22.1879i	0.319156	+	1.19111i	−0.600901	+	0.799323i	$0.705192\pi$
$348$	15.2268	+	1.40300i	0.816241	+	0.0752088i
$349$		−	13.7574i		−	0.736415i	−0.929744	−	0.368207i	$-0.879972\pi$
$349$		−	13.7574i		−	0.736415i	0.929744	−	0.368207i	$-0.120028\pi$
$350$	−12.0000	−	9.00000i	−0.641427	−	0.481070i
$351$	−7.52396	+	12.6250i	−0.401599	+	0.673871i
$352$	−1.50851	+	5.62983i	−0.0804037	+	0.300071i
$353$	−20.4853	−	20.4853i	−1.09032	−	1.09032i	−0.995494	−	0.0948278i	$-0.969770\pi$
$353$	−20.4853	−	20.4853i	−1.09032	−	1.09032i	−0.0948278	−	0.995494i	$-0.530230\pi$
$354$	−9.65685	+	1.65685i	−0.513256	+	0.0880608i
$355$	29.3861	−	6.01343i	1.55965	−	0.319160i
$356$	−5.34474	−	3.08579i	−0.283271	−	0.163546i
$357$	−2.97622	+	32.3009i	−0.157518	+	1.70954i
$358$	−5.34639	−	19.9530i	−0.282565	−	1.05455i
$359$	16.6066	−	28.7635i	0.876463	−	1.51808i	0.0212668	−	0.999774i	$-0.493230\pi$
$359$	16.6066	−	28.7635i	0.876463	−	1.51808i	0.855196	−	0.518304i	$-0.173437\pi$
$360$	−4.65685	+	4.82843i	−0.245438	+	0.254480i
$361$	18.5000	+	4.33013i	0.973684	+	0.227901i
$362$	−1.75736	+	1.75736i	−0.0923648	+	0.0923648i
$363$	36.1357	−	16.6478i	1.89663	−	0.873783i
$364$	7.34847	+	4.24264i	0.385164	+	0.222375i
$365$	−14.4754	−	9.55746i	−0.757679	−	0.500260i
$366$	3.74496	−	10.1433i	0.195752	−	0.530200i
$367$	−1.55291	+	5.79555i	−0.0810615	+	0.302526i	−0.994539	−	0.104363i	$-0.966720\pi$
$367$	−1.55291	+	5.79555i	−0.0810615	+	0.302526i	0.913478	+	0.406889i	$0.133386\pi$
$368$	−2.12132	−	2.12132i	−0.110581	−	0.110581i
$369$	8.48528	−	3.00000i	0.441726	−	0.156174i
$370$	1.34486	+	6.57201i	0.0699161	+	0.341663i
$371$	−19.4473	+	11.2279i	−1.00966	+	0.582925i
$372$	−2.24264	+	3.17157i	−0.116276	+	0.164438i
$373$	−0.363961	+	0.363961i	−0.0188452	+	0.0188452i	−0.716467	−	0.697621i	$-0.754242\pi$
$373$	−0.363961	+	0.363961i	−0.0188452	+	0.0188452i	0.697621	+	0.716467i	$0.254242\pi$
$374$	−18.1924	−	31.5101i	−0.940706	−	1.62935i
$375$	16.6735	+	9.84859i	0.861015	+	0.508579i
$376$	5.24264	+	9.08052i	0.270369	+	0.468292i
$377$	6.46286	+	24.1197i	0.332854	+	1.24223i
$378$	10.8691	+	11.1742i	0.559044	+	0.574741i
$379$			5.51472i			0.283272i	0.989919	+	0.141636i	$0.0452363\pi$
$379$			5.51472i			0.283272i	−0.989919	+	0.141636i	$0.954764\pi$
$380$	−4.12252	+	8.83203i	−0.211481	+	0.453074i
$381$	−2.53553	−	14.7782i	−0.129899	−	0.757109i
$382$	12.9571	−	3.47185i	0.662945	−	0.177636i
$383$	13.0542	−	3.49787i	0.667039	−	0.178733i	0.0906185	−	0.995886i	$-0.471116\pi$
$383$	13.0542	−	3.49787i	0.667039	−	0.178733i	0.576421	+	0.817153i	$0.304449\pi$
$384$	1.33195	−	1.10721i	0.0679709	−	0.0565019i
$385$	2.34258	−	39.0280i	0.119389	−	1.98905i
$386$	−10.3923	+	6.00000i	−0.528954	+	0.305392i
$387$	11.4853	+	5.48528i	0.583830	+	0.278833i
$388$	1.75736	−	1.75736i	0.0892164	−	0.0892164i
$389$	−9.53553	−	16.5160i	−0.483471	−	0.837396i	0.516349	−	0.856378i	$-0.327291\pi$
$389$	−9.53553	−	16.5160i	−0.483471	−	0.837396i	−0.999820	+	0.0189823i	$0.993957\pi$
$390$	−10.0306	−	4.40300i	−0.507921	−	0.222955i
$391$	18.7279			0.947112
$392$	1.41421	−	1.41421i	0.0714286	−	0.0714286i
$393$	25.8712	+	2.38378i	1.30503	+	0.120246i
$394$	−22.0709	−	12.7426i	−1.11192	−	0.641965i
$395$	22.9698	−	4.70042i	1.15574	−	0.236504i
$396$	−17.1909	−	3.19507i	−0.863875	−	0.160559i
$397$	25.0856	−	6.72168i	1.25901	−	0.337351i	0.433201	−	0.901298i	$-0.357384\pi$
$397$	25.0856	−	6.72168i	1.25901	−	0.337351i	0.825811	+	0.563946i	$0.190718\pi$
$398$	−4.07107	−	4.07107i	−0.204064	−	0.204064i
$399$	20.2075	+	10.2302i	1.01164	+	0.512151i
$400$	−4.00000	−	3.00000i	−0.200000	−	0.150000i
$401$	−9.20361	−	5.31371i	−0.459607	−	0.265354i	0.252272	−	0.967656i	$-0.418822\pi$
$401$	−9.20361	−	5.31371i	−0.459607	−	0.265354i	−0.711879	+	0.702302i	$0.752155\pi$
$402$	8.89898	−	4.09978i	0.443841	−	0.204478i
$403$	−6.12701	−	1.64173i	−0.305208	−	0.0817802i
$404$	2.65685	−	4.60181i	0.132183	−	0.228948i
$405$	−15.5303	−	12.7988i	−0.771708	−	0.635977i
$406$	26.4853			1.31444
$407$	−12.3640	+	12.3640i	−0.612859	+	0.612859i
$408$	−0.992072	+	10.7670i	−0.0491149	+	0.533044i
$409$	−22.9114	+	13.2279i	−1.13290	+	0.654079i	−0.944662	−	0.328045i	$-0.893610\pi$
$409$	−22.9114	+	13.2279i	−1.13290	+	0.654079i	−0.188235	+	0.982124i	$0.560277\pi$
$410$	3.00000	+	6.00000i	0.148159	+	0.296319i
$411$	−6.00000	+	1.02944i	−0.295958	+	0.0507784i
$412$	−0.776457	+	2.89778i	−0.0382533	+	0.142763i
$413$	−16.3923	+	4.39230i	−0.806613	+	0.216131i
$414$	5.84847	−	6.84072i	0.287437	−	0.336203i
$415$	−9.46979	−	0.568406i	−0.464854	−	0.0279020i
$416$	2.44949	+	1.41421i	0.120096	+	0.0693375i
$417$	−14.0000	+	19.7990i	−0.685583	+	0.969561i
$418$	−25.1321	+	3.71712i	−1.22925	+	0.181810i
$419$	24.1716			1.18086			0.590429	−	0.807089i	$-0.298958\pi$
$419$	24.1716			1.18086			0.590429	+	0.807089i	$0.298958\pi$
$420$	−7.26456	+	9.06787i	−0.354474	+	0.442467i
$421$	−6.48528	+	11.2328i	−0.316073	+	0.547455i	−0.979665	−	0.200640i	$-0.935698\pi$
$421$	−6.48528	+	11.2328i	−0.316073	+	0.547455i	0.663592	+	0.748095i	$0.269031\pi$
$422$	13.0258	+	3.49025i	0.634085	+	0.169903i
$423$	−25.9325	+	17.8038i	−1.26088	+	0.865649i
$424$	−6.48244	+	3.74264i	−0.314815	+	0.181759i
$425$	30.8995	−	4.41421i	1.49885	−	0.214121i
$426$	−3.92893	−	22.8995i	−0.190357	−	1.10948i
$427$	4.84714	−	18.0898i	0.234570	−	0.875426i
$428$	−2.19615	+	8.19615i	−0.106155	+	0.396176i
$429$	−4.82843	−	28.1421i	−0.233119	−	1.35872i
$430$	−3.00000	+	9.00000i	−0.144673	+	0.434019i
$431$	9.79796	−	5.65685i	0.471951	−	0.272481i	−0.245105	−	0.969497i	$-0.578822\pi$
$431$	9.79796	−	5.65685i	0.471951	−	0.272481i	0.717056	+	0.697015i	$0.245489\pi$
$432$	3.62302	+	3.72474i	0.174313	+	0.179207i
$433$	25.5828	+	6.85490i	1.22943	+	0.329425i	0.814358	−	0.580363i	$-0.197089\pi$
$433$	25.5828	+	6.85490i	1.22943	+	0.329425i	0.415074	+	0.909788i	$0.363756\pi$
$434$	−3.36396	+	5.82655i	−0.161475	+	0.279683i
$435$	−33.9858	+	3.75247i	−1.62950	+	0.179917i
$436$	6.24264			0.298968
$437$	4.81105	−	12.1595i	0.230144	−	0.581669i
$438$	−7.75736	+	10.9706i	−0.370661	+	0.524194i
$439$	18.5813	+	10.7279i	0.886837	+	0.512016i	0.872907	−	0.487887i	$-0.162232\pi$
$439$	18.5813	+	10.7279i	0.886837	+	0.512016i	0.0139307	+	0.999903i	$0.495566\pi$
$440$	0.780861	−	13.0093i	0.0372261	−	0.620196i
$441$	4.56048	+	3.89898i	0.217166	+	0.185666i
$442$	−17.0552	+	4.56993i	−0.811234	+	0.217369i
$443$	6.66650	−	24.8797i	0.316735	−	1.18207i	−0.605629	−	0.795747i	$-0.707078\pi$
$443$	6.66650	−	24.8797i	0.316735	−	1.18207i	0.922364	−	0.386323i	$-0.126255\pi$
$444$	5.12132	−	0.878680i	0.243047	−	0.0417003i
$445$	13.0919	+	4.36396i	0.620615	+	0.206872i
$446$	−0.445759	+	0.257359i	−0.0211073	+	0.0121863i
$447$	1.79796	−	19.5133i	0.0850405	−	0.922946i
$448$	2.12132	−	2.12132i	0.100223	−	0.100223i
$449$	12.1716			0.574412			0.287206	−	0.957869i	$-0.407274\pi$
$449$	12.1716			0.574412			0.287206	+	0.957869i	$0.407274\pi$
$450$	8.03711	−	12.6651i	0.378873	−	0.597039i
$451$	−8.74264	+	15.1427i	−0.411675	+	0.713042i
$452$	19.3185	+	5.17638i	0.908667	+	0.243476i
$453$	−23.1690	+	10.6740i	−1.08857	+	0.501508i
$454$	9.50079	+	5.48528i	0.445894	+	0.257437i
$455$	−18.0000	−	6.00000i	−0.843853	−	0.281284i
$456$	6.73583	+	3.41007i	0.315434	+	0.159691i
$457$	8.97056	+	8.97056i	0.419625	+	0.419625i	0.885075	−	0.465449i	$-0.154107\pi$
$457$	8.97056	+	8.97056i	0.419625	+	0.419625i	−0.465449	+	0.885075i	$0.654107\pi$
$458$	23.4166	−	6.27446i	1.09419	−	0.293186i
$459$	−32.4346	−	0.449034i	−1.51392	−	0.0209591i
$460$	5.59808	+	3.69615i	0.261012	+	0.172334i
$461$	32.1405	+	18.5563i	1.49693	+	0.864255i	0.999994	−	0.00352933i	$-0.00112342\pi$
$461$	32.1405	+	18.5563i	1.49693	+	0.864255i	0.496940	+	0.867785i	$0.334457\pi$
$462$	−30.1576	−	2.77874i	−1.40306	−	0.129279i
$463$	17.3345	−	17.3345i	0.805604	−	0.805604i	−0.178361	−	0.983965i	$-0.557080\pi$
$463$	17.3345	−	17.3345i	0.805604	−	0.805604i	0.983965	+	0.178361i	$0.0570796\pi$
$464$	8.82843			0.409849
$465$	3.49111	−	7.95322i	0.161896	−	0.368822i
$466$	−3.24264	−	5.61642i	−0.150212	−	0.260176i
$467$	−10.2426	+	10.2426i	−0.473973	+	0.473973i	−0.903198	−	0.429225i	$-0.858787\pi$
$467$	−10.2426	+	10.2426i	−0.473973	+	0.473973i	0.429225	+	0.903198i	$0.358787\pi$
$468$	−3.65685	+	7.65685i	−0.169038	+	0.353938i
$469$	14.6969	−	8.48528i	0.678642	−	0.391814i
$470$	−15.5556	−	17.5422i	−0.717526	−	0.809162i
$471$	−8.22023	+	6.83320i	−0.378768	+	0.314857i
$472$	−5.46410	+	1.46410i	−0.251506	+	0.0673907i
$473$	−23.8853	+	6.40006i	−1.09825	+	0.294275i
$474$	−3.07107	−	17.8995i	−0.141059	−	0.822151i
$475$	5.07180	−	21.1962i	0.232710	−	0.972546i
$476$			18.7279i			0.858393i
$477$	−12.7098	−	18.5128i	−0.581943	−	0.847645i
$478$	−6.03403	−	22.5193i	−0.275990	−	1.03001i
$479$	−3.19239	−	5.52938i	−0.145864	−	0.252644i	0.783831	−	0.620974i	$-0.213263\pi$
$479$	−3.19239	−	5.52938i	−0.145864	−	0.252644i	−0.929695	+	0.368330i	$0.879930\pi$
$480$	−2.42152	+	3.02262i	−0.110527	+	0.137963i
$481$	4.24264	+	7.34847i	0.193448	+	0.335061i
$482$	11.6569	−	11.6569i	0.530955	−	0.530955i
$483$	9.00000	−	12.7279i	0.409514	−	0.579141i
$484$	19.8931	−	11.4853i	0.904231	−	0.522058i
$485$	−3.06199	+	4.63760i	−0.139038	+	0.210582i
$486$	−10.2929	+	11.7071i	−0.466895	+	0.531045i
$487$	3.39340	+	3.39340i	0.153770	+	0.153770i	0.779799	−	0.626030i	$-0.215321\pi$
$487$	3.39340	+	3.39340i	0.153770	+	0.153770i	−0.626030	+	0.779799i	$0.715321\pi$
$488$	1.61571	−	6.02993i	0.0731399	−	0.272962i
$489$	4.88447	−	13.2297i	0.220883	−	0.598268i
$490$	−2.46410	+	3.73205i	−0.111317	+	0.168597i
$491$	−30.4340	−	17.5711i	−1.37347	−	0.792971i	−0.382104	−	0.924119i	$-0.624800\pi$
$491$	−30.4340	−	17.5711i	−1.37347	−	0.792971i	−0.991363	+	0.131148i	$0.958134\pi$
$492$	4.71940	−	2.17423i	0.212767	−	0.0980221i
$493$	−38.9706	+	38.9706i	−1.75515	+	1.75515i
$494$	−1.41421	+	12.2474i	−0.0636285	+	0.551039i
$495$	39.0919	−	0.707107i	1.75705	−	0.0317821i
$496$	−1.12132	+	1.94218i	−0.0503488	+	0.0872066i
$497$	−10.4156	−	38.8714i	−0.467202	−	1.74362i
$498$	−0.674235	+	7.31747i	−0.0302132	+	0.327904i
$499$	−3.48960	−	2.01472i	−0.156216	−	0.0901912i	0.419854	−	0.907591i	$-0.362081\pi$
$499$	−3.48960	−	2.01472i	−0.156216	−	0.0901912i	−0.576070	+	0.817400i	$0.695414\pi$
$500$	10.1075	+	4.77886i	0.452023	+	0.213717i
$501$	−11.1213	+	1.90812i	−0.496864	+	0.0852484i
$502$	−3.75736	−	3.75736i	−0.167699	−	0.167699i
$503$	4.13349	−	15.4264i	0.184303	−	0.687828i	−0.810476	−	0.585772i	$-0.800791\pi$
$503$	4.13349	−	15.4264i	0.184303	−	0.687828i	0.994779	−	0.102056i	$-0.0325421\pi$
$504$	6.84072	+	5.84847i	0.304710	+	0.260512i
$505$	−3.75736	+	11.2721i	−0.167200	+	0.501601i
$506$			17.4853i			0.777316i
$507$	8.62372	+	0.794593i	0.382993	+	0.0352891i
$508$	−2.24056	−	8.36188i	−0.0994087	−	0.370998i
$509$	6.36396	+	11.0227i	0.282078	+	0.488573i	0.971896	−	0.235409i	$-0.0756431\pi$
$509$	6.36396	+	11.0227i	0.282078	+	0.488573i	−0.689819	+	0.723982i	$0.742310\pi$
$510$	−2.65339	−	24.0316i	−0.117494	−	1.06414i
$511$	−11.6360	+	20.1542i	−0.514748	+	0.891570i
$512$	0.707107	−	0.707107i	0.0312500	−	0.0312500i
$513$	−8.62372	+	20.9435i	−0.380747	+	0.924679i
$514$		−	0.242641i		−	0.0107024i
$515$	0.401924	−	6.69615i	0.0177109	−	0.295068i
$516$	6.89363	+	2.54516i	0.303475	+	0.112045i
$517$	15.8171	−	59.0303i	0.695637	−	2.59615i
$518$	8.69333	−	2.32937i	0.381963	−	0.102347i
$519$	−18.6081	+	15.4683i	−0.816805	+	0.678983i
$520$	−6.00000	−	2.00000i	−0.263117	−	0.0877058i
$521$		−	12.6863i		−	0.555797i	−0.960611	−	0.277898i	$-0.910362\pi$
$521$		−	12.6863i		−	0.555797i	0.960611	−	0.277898i	$-0.0896378\pi$
$522$	2.06475	+	26.4047i	0.0903716	+	1.15570i
$523$	−11.9226	−	3.19464i	−0.521337	−	0.139692i	−0.0114522	−	0.999934i	$-0.503645\pi$
$523$	−11.9226	−	3.19464i	−0.521337	−	0.139692i	−0.509885	+	0.860243i	$0.670312\pi$
$524$	15.0000			0.655278
$525$	11.8492	−	23.1213i	0.517143	−	1.00910i
$526$	7.74264	+	13.4106i	0.337595	+	0.584732i
$527$	−3.62347	−	13.5230i	−0.157841	−	0.589069i
$528$	−10.0525	−	0.926246i	−0.437481	−	0.0403097i
$529$	12.1244	+	7.00000i	0.527146	+	0.304348i
$530$	12.5231	−	11.1049i	0.543970	−	0.482366i
$531$	−5.65685	−	16.0000i	−0.245487	−	0.694341i
$532$	12.1595	+	4.81105i	0.527182	+	0.208585i
$533$	6.00000	+	6.00000i	0.259889	+	0.259889i
$534$	3.70233	−	10.0278i	0.160215	−	0.433947i
$535$	1.13681	−	18.9396i	0.0491487	−	0.818829i
$536$	4.89898	−	2.82843i	0.211604	−	0.122169i
$537$	32.4960	−	14.9709i	1.40230	−	0.646044i
$538$	24.2168	+	6.48887i	1.04406	+	0.279755i
$539$	−11.6569			−0.502096
$540$	−9.60660	−	6.53553i	−0.413402	−	0.281245i
$541$	−13.3640	−	23.1471i	−0.574562	−	0.995170i	−0.996089	−	0.0883542i	$-0.971839\pi$
$541$	−13.3640	−	23.1471i	−0.574562	−	0.995170i	0.421528	−	0.906816i	$-0.361494\pi$
$542$	1.93185	+	0.517638i	0.0829801	+	0.0222345i
$543$	−3.51472	−	2.48528i	−0.150831	−	0.106654i
$544$			6.24264i			0.267651i
$545$	−13.6756	+	2.79850i	−0.585797	+	0.119875i
$546$	−5.09032	+	13.7873i	−0.217846	+	0.590040i
$547$	8.14137	−	30.3840i	0.348100	−	1.29913i	−0.540849	−	0.841120i	$-0.681897\pi$
$547$	8.14137	−	30.3840i	0.348100	−	1.29913i	0.888949	−	0.458007i	$-0.151436\pi$
$548$	−3.39496	+	0.909676i	−0.145025	+	0.0388594i
$549$	18.4126	+	3.42214i	0.785831	+	0.146053i
$550$	4.12132	+	28.8492i	0.175734	+	1.23014i
$551$	15.2913	+	35.3137i	0.651431	+	1.50441i
$552$	3.00000	−	4.24264i	0.127688	−	0.180579i
$553$	−8.14137	−	30.3840i	−0.346206	−	1.29206i
$554$	−2.48528	+	4.30463i	−0.105589	+	0.182886i
$555$	−10.8252	+	4.22072i	−0.459505	+	0.179160i
$556$	−7.00000	+	12.1244i	−0.296866	+	0.514187i
$557$	19.2901	+	5.16876i	0.817347	+	0.219007i	0.643186	−	0.765710i	$-0.277612\pi$
$557$	19.2901	+	5.16876i	0.817347	+	0.219007i	0.174161	+	0.984717i	$0.444279\pi$
$558$	−6.07107	−	2.89949i	−0.257009	−	0.122745i
$559$			12.0000i			0.507546i
$560$	−3.69615	+	5.59808i	−0.156191	+	0.236562i
$561$	48.4627	−	40.2855i	2.04610	−	1.70085i
$562$	−8.36396	−	8.36396i	−0.352812	−	0.352812i
$563$	−32.8284	−	32.8284i	−1.38355	−	1.38355i	−0.838218	−	0.545335i	$-0.816402\pi$
$563$	−32.8284	−	32.8284i	−1.38355	−	1.38355i	−0.545335	−	0.838218i	$-0.683598\pi$
$564$	−13.9659	+	11.6094i	−0.588070	+	0.488843i
$565$	−44.6410	−	2.67949i	−1.87806	−	0.112727i
$566$	−0.297173	+	0.171573i	−0.0124911	+	0.00721175i
$567$	−15.8921	+	21.8275i	−0.667407	+	0.916669i
$568$	−3.47185	−	12.9571i	−0.145676	−	0.543669i
$569$	−28.7990			−1.20732			−0.603658	−	0.797243i	$-0.706291\pi$
$569$	−28.7990			−1.20732			−0.603658	+	0.797243i	$0.706291\pi$
$570$	−16.2847	−	4.45074i	−0.682090	−	0.186421i
$571$	6.48528			0.271401			0.135700	−	0.990750i	$-0.456672\pi$
$571$	6.48528			0.271401			0.135700	+	0.990750i	$0.456672\pi$
$572$	−4.26670	−	15.9236i	−0.178400	−	0.665797i
$573$	9.72188	+	21.1023i	0.406137	+	0.881563i
$574$	7.79423	−	4.50000i	0.325325	−	0.187826i
$575$	−13.9205	−	5.58750i	−0.580524	−	0.233015i
$576$	2.28024	+	1.94949i	0.0950100	+	0.0812287i
$577$	14.4853	+	14.4853i	0.603030	+	0.603030i	0.941115	−	0.338085i	$-0.109779\pi$
$577$	14.4853	+	14.4853i	0.603030	+	0.603030i	−0.338085	+	0.941115i	$0.609779\pi$
$578$	−15.5355	−	15.5355i	−0.646193	−	0.646193i
$579$	−13.2865	−	15.9834i	−0.552167	−	0.664248i
$580$	−19.3402	+	3.95768i	−0.803057	+	0.164334i
$581$			12.7279i			0.528043i
$582$	3.51472	+	2.48528i	0.145690	+	0.103018i
$583$	42.1408	+	11.2916i	1.74530	+	0.467651i
$584$	−3.87868	+	6.71807i	−0.160501	+	0.277996i
$585$	4.57849	−	18.4130i	0.189297	−	0.761283i
$586$	−3.98528	+	6.90271i	−0.164630	+	0.285148i
$587$	−1.81935	−	6.78991i	−0.0750927	−	0.280250i	0.918162	−	0.396206i	$-0.129673\pi$
$587$	−1.81935	−	6.78991i	−0.0750927	−	0.280250i	−0.993254	+	0.115956i	$0.963007\pi$
$588$	2.82843	+	2.00000i	0.116642	+	0.0824786i
$589$	−9.71092	−	1.12132i	−0.400131	−	0.0462032i
$590$	11.3137	−	5.65685i	0.465778	−	0.232889i
$591$	15.2886	−	41.4096i	0.628890	−	1.70336i
$592$	2.89778	−	0.776457i	0.119098	−	0.0319122i
$593$	−5.56842	+	20.7816i	−0.228668	+	0.853399i	0.752234	+	0.658896i	$0.228976\pi$
$593$	−5.56842	+	20.7816i	−0.228668	+	0.853399i	−0.980902	+	0.194503i	$0.937691\pi$
$594$	0.419240	−	30.2825i	0.0172016	−	1.24251i
$595$	−8.39550	−	41.0267i	−0.344182	−	1.68193i
$596$		−	11.3137i		−	0.463428i
$597$	5.75736	−	8.14214i	0.235633	−	0.333235i
$598$	8.19615	+	2.19615i	0.335166	+	0.0898074i
$599$	17.8492	+	30.9158i	0.729300	+	1.26319i	0.957179	+	0.289496i	$0.0934876\pi$
$599$	17.8492	+	30.9158i	0.729300	+	1.26319i	−0.227879	+	0.973689i	$0.573179\pi$
$600$	3.94975	−	7.70711i	0.161248	−	0.314641i
$601$	23.0000			0.938190			0.469095	−	0.883148i	$-0.344580\pi$
$601$	23.0000			0.938190			0.469095	+	0.883148i	$0.344580\pi$
$602$	12.2942	+	3.29423i	0.501075	+	0.134263i
$603$	9.60521	+	13.9907i	0.391154	+	0.569746i
$604$	−12.7548	+	7.36396i	−0.518984	+	0.299635i
$605$	−38.4305	+	34.0783i	−1.56242	+	1.38548i
$606$	8.63395	+	3.18770i	0.350730	+	0.129491i
$607$	8.36396	+	8.36396i	0.339483	+	0.339483i	0.856173	−	0.516690i	$-0.172836\pi$
$607$	8.36396	+	8.36396i	0.339483	+	0.339483i	−0.516690	+	0.856173i	$0.672836\pi$
$608$	4.05317	+	1.60368i	0.164378	+	0.0650379i
$609$	7.75736	+	45.2132i	0.314344	+	1.83213i
$610$	−0.836355	+	13.9339i	−0.0338630	+	0.564167i
$611$	−25.6836	−	14.8284i	−1.03905	−	0.599894i
$612$	−18.6709	+	1.46000i	−0.754727	+	0.0590169i
$613$	7.45373	+	27.8177i	0.301053	+	1.12355i	0.936290	+	0.351228i	$0.114236\pi$
$613$	7.45373	+	27.8177i	0.301053	+	1.12355i	−0.635237	+	0.772318i	$0.719097\pi$
$614$	4.07107	+	7.05130i	0.164295	+	0.284567i
$615$	−9.36396	+	6.87868i	−0.377591	+	0.277375i
$616$	−17.4853			−0.704502
$617$	42.6782	+	11.4356i	1.71816	+	0.460380i	0.977402	−	0.211390i	$-0.0677991\pi$
$617$	42.6782	+	11.4356i	1.71816	+	0.460380i	0.740760	+	0.671770i	$0.234466\pi$
$618$	−5.17423	−	0.476756i	−0.208138	−	0.0191779i
$619$		−	42.9411i		−	1.72595i	−0.505247	−	0.862975i	$-0.668599\pi$
$619$		−	42.9411i		−	1.72595i	0.505247	−	0.862975i	$-0.331401\pi$
$620$	1.58579	−	4.75736i	0.0636867	−	0.191060i
$621$	13.3908	+	7.98036i	0.537355	+	0.320241i
$622$	−8.19615	+	2.19615i	−0.328636	+	0.0880577i
$623$	4.79196	−	17.8838i	0.191986	−	0.716501i
$624$	−1.69677	+	4.59575i	−0.0679253	+	0.183977i
$625$	−24.2846	−	5.93782i	−0.971384	−	0.237513i
$626$		−	9.55635i		−	0.381949i
$627$	−13.7065	−	41.8145i	−0.547387	−	1.66991i
$628$	−4.36396	+	4.36396i	−0.174141	+	0.174141i
$629$	−9.36396	+	16.2189i	−0.373366	+	0.646688i
$630$	−17.6076	−	9.74546i	−0.701502	−	0.388268i
$631$	−4.12132	−	7.13834i	−0.164067	−	0.284173i	0.772256	−	0.635311i	$-0.219128\pi$
$631$	−4.12132	−	7.13834i	−0.164067	−	0.284173i	−0.936324	+	0.351138i	$0.885795\pi$
$632$	−2.71379	−	10.1280i	−0.107949	−	0.402870i
$633$	−2.14306	+	23.2587i	−0.0851791	+	0.924449i
$634$		−	22.4558i		−	0.891836i
$635$	8.65685	+	17.3137i	0.343537	+	0.687074i
$636$	−8.28775	−	9.97003i	−0.328631	−	0.395337i
$637$	−1.46410	+	5.46410i	−0.0580098	+	0.216496i
$638$	−36.3848	−	36.3848i	−1.44049	−	1.44049i
$639$	37.9411	−	13.4142i	1.50093	−	0.530658i
$640$	−1.23205	+	1.86603i	−0.0487011	+	0.0737611i
$641$	5.49333	+	3.17157i	0.216973	+	0.125270i	0.604548	−	0.796569i	$-0.293354\pi$
$641$	5.49333	+	3.17157i	0.216973	+	0.125270i	−0.387575	+	0.921838i	$0.626687\pi$
$642$	−14.6349	−	1.34847i	−0.577595	−	0.0532198i
$643$	5.02477	+	18.7527i	0.198158	+	0.739534i	0.991427	+	0.130663i	$0.0417106\pi$
$643$	5.02477	+	18.7527i	0.198158	+	0.739534i	−0.793269	+	0.608871i	$0.791623\pi$
$644$	4.50000	−	7.79423i	0.177325	−	0.307136i
$645$	−16.2426	−	2.48528i	−0.639553	−	0.0978579i
$646$	−24.9706	+	10.8126i	−0.982454	+	0.425415i
$647$	−11.2929	+	11.2929i	−0.443969	+	0.443969i	−0.893344	−	0.449374i	$-0.851647\pi$
$647$	−11.2929	+	11.2929i	−0.443969	+	0.443969i	0.449374	+	0.893344i	$0.351647\pi$
$648$	−5.29738	+	7.27583i	−0.208101	+	0.285822i
$649$	28.5533	+	16.4853i	1.12082	+	0.647104i
$650$	14.0406	+	1.69161i	0.550718	+	0.0663506i
$651$	−10.9318	−	4.03608i	−0.428452	−	0.158187i
$652$	2.10734	−	7.86470i	0.0825298	−	0.308005i
$653$	14.8492	+	14.8492i	0.581096	+	0.581096i	0.935204	−	0.354109i	$-0.115216\pi$
$653$	14.8492	+	14.8492i	0.581096	+	0.581096i	−0.354109	+	0.935204i	$0.615216\pi$
$654$	1.82843	+	10.6569i	0.0714972	+	0.416716i
$655$	−32.8601	+	6.72432i	−1.28395	+	0.262741i
$656$	2.59808	−	1.50000i	0.101438	−	0.0585652i
$657$	−21.0000	−	10.0294i	−0.819288	−	0.391286i
$658$	−22.2426	+	22.2426i	−0.867108	+	0.867108i
$659$	−22.7132	−	39.3404i	−0.884781	−	1.53249i	−0.845965	−	0.533239i	$-0.820975\pi$
$659$	−22.7132	−	39.3404i	−0.884781	−	1.53249i	−0.0388161	−	0.999246i	$-0.512359\pi$
$660$	22.4371	−	2.47734i	0.873361	−	0.0964302i
$661$	−7.12132	−	12.3345i	−0.276987	−	0.479756i	0.693647	−	0.720315i	$-0.256003\pi$
$661$	−7.12132	−	12.3345i	−0.276987	−	0.479756i	−0.970635	+	0.240559i	$0.922669\pi$
$662$	−7.63135	−	28.4806i	−0.296601	−	1.10693i
$663$	−12.7967	−	27.7766i	−0.496983	−	1.07875i
$664$			4.24264i			0.164646i
$665$	−28.7942	−	5.08846i	−1.11659	−	0.197322i
$666$	3.00000	+	8.48528i	0.116248	+	0.328798i
$667$	25.5828	−	6.85490i	0.990571	−	0.265423i
$668$	−6.29273	+	1.68613i	−0.243473	+	0.0652385i
$669$	−0.569900	−	0.685580i	−0.0220336	−	0.0265061i
$670$	−9.46410	+	8.39230i	−0.365630	+	0.324223i
$671$	−31.5101	+	18.1924i	−1.21644	+	0.702309i
$672$	4.24264	+	3.00000i	0.163663	+	0.115728i
$673$	4.97056	−	4.97056i	0.191601	−	0.191601i	−0.604787	−	0.796388i	$-0.706742\pi$
$673$	4.97056	−	4.97056i	0.191601	−	0.191601i	0.796388	+	0.604787i	$0.206742\pi$
$674$	−7.24264	−	12.5446i	−0.278976	−	0.483201i
$675$	23.9747	+	10.0107i	0.922787	+	0.385311i
$676$	5.00000			0.192308
$677$	13.3934	−	13.3934i	0.514750	−	0.514750i	−0.401228	−	0.915978i	$-0.631417\pi$
$677$	13.3934	−	13.3934i	0.514750	−	0.514750i	0.915978	+	0.401228i	$0.131417\pi$
$678$	−3.17837	+	34.4949i	−0.122065	+	1.32477i
$679$	6.45695	+	3.72792i	0.247795	+	0.143065i
$680$	−2.79850	−	13.6756i	−0.107318	−	0.524434i
$681$	−6.58125	+	17.8255i	−0.252194	+	0.683073i
$682$	12.6257	−	3.38304i	0.483462	−	0.129543i
$683$	18.8995	+	18.8995i	0.723169	+	0.723169i	0.969249	−	0.246080i	$-0.0791427\pi$
$683$	18.8995	+	18.8995i	0.723169	+	0.723169i	−0.246080	+	0.969249i	$0.579143\pi$
$684$	−3.84847	+	12.4976i	−0.147150	+	0.477857i
$685$	7.02944	−	3.51472i	0.268581	−	0.134290i
$686$	−12.9904	−	7.50000i	−0.495975	−	0.286351i
$687$	17.5697	+	38.1369i	0.670327	+	1.45501i
$688$	4.09808	+	1.09808i	0.156238	+	0.0418638i
$689$	10.5858	−	18.3351i	0.403286	−	0.698512i
$690$	−4.67009	+	10.6391i	−0.177787	+	0.405023i
$691$	5.97056			0.227131			0.113565	−	0.993531i	$-0.463773\pi$
$691$	5.97056			0.227131			0.113565	+	0.993531i	$0.463773\pi$
$692$	−9.87868	+	9.87868i	−0.375531	+	0.375531i
$693$	−4.08937	−	52.2962i	−0.155342	−	1.98657i
$694$	−19.8931	+	11.4853i	−0.755131	+	0.435975i
$695$	9.89949	−	29.6985i	0.375509	−	1.12653i
$696$	2.58579	+	15.0711i	0.0980140	+	0.571267i
$697$	−4.84714	+	18.0898i	−0.183599	+	0.685199i
$698$	13.2886	−	3.56067i	0.502980	−	0.134773i
$699$	8.63808	−	7.18054i	0.326722	−	0.271593i
$700$	5.58750	−	13.9205i	0.211188	−	0.526145i
$701$	7.97887	+	4.60660i	0.301358	+	0.173989i	0.643053	−	0.765822i	$-0.277668\pi$
$701$	7.97887	+	4.60660i	0.301358	+	0.173989i	−0.341695	+	0.939811i	$0.611001\pi$
$702$	−14.1421	−	4.00000i	−0.533761	−	0.150970i
$703$	8.12493	+	10.2462i	0.306437	+	0.386445i
$704$	−5.82843			−0.219667
$705$	25.3903	−	31.6930i	0.956255	−	1.19363i
$706$	14.4853	−	25.0892i	0.545161	−	0.944246i
$707$	15.3979	+	4.12587i	0.579099	+	0.155169i
$708$	−4.09978	−	8.89898i	−0.154079	−	0.334444i
$709$	−13.5953	+	7.84924i	−0.510582	+	0.294784i	−0.733073	−	0.680150i	$-0.761915\pi$
$709$	−13.5953	+	7.84924i	−0.510582	+	0.294784i	0.222491	+	0.974935i	$0.428581\pi$
$710$	13.4142	+	26.8284i	0.503426	+	1.00685i
$711$	29.6569	−	10.4853i	1.11222	−	0.393229i
$712$	1.59732	−	5.96128i	0.0598621	−	0.223408i
$713$	−1.74131	+	6.49867i	−0.0652127	+	0.243377i
$714$	−31.9706	+	5.48528i	−1.19647	+	0.205281i
$715$	16.4853	+	32.9706i	0.616515	+	1.23303i
$716$	17.8894	−	10.3284i	0.668557	−	0.385991i
$717$	36.6755	−	16.8965i	1.36967	−	0.631011i
$718$	32.0815	+	8.59621i	1.19727	+	0.320808i
$719$	2.29289	−	3.97141i	0.0855105	−	0.148109i	−0.820098	−	0.572223i	$-0.806081\pi$
$719$	2.29289	−	3.97141i	0.0855105	−	0.148109i	0.905609	+	0.424114i	$0.139415\pi$
$720$	−5.86919	−	3.24849i	−0.218732	−	0.121064i
$721$	−9.00000			−0.335178
$722$	0.605571	+	18.9903i	0.0225370	+	0.706748i
$723$	23.3137	+	16.4853i	0.867046	+	0.613094i
$724$	−2.15232	−	1.24264i	−0.0799902	−	0.0461824i
$725$	40.5938	−	17.3399i	1.50762	−	0.643989i
$726$	25.4332	+	30.5957i	0.943913	+	1.13551i
$727$	−20.1187	+	5.39079i	−0.746162	+	0.199933i	−0.611815	−	0.791001i	$-0.709560\pi$
$727$	−20.1187	+	5.39079i	−0.746162	+	0.199933i	−0.134347	+	0.990934i	$0.542894\pi$
$728$	−2.19615	+	8.19615i	−0.0813948	+	0.303770i
$729$	−23.0000	−	14.1421i	−0.851852	−	0.523783i
$730$	5.48528	−	16.4558i	0.203019	−	0.609058i
$731$	−22.9369	+	13.2426i	−0.848353	+	0.489797i
$732$	10.7670	+	0.992072i	0.397958	+	0.0366680i
$733$	−3.87868	+	3.87868i	−0.143262	+	0.143262i	−0.775100	−	0.631838i	$-0.782301\pi$
$733$	−3.87868	+	3.87868i	−0.143262	+	0.143262i	0.631838	+	0.775100i	$0.282301\pi$
$734$	−6.00000			−0.221464
$735$	−7.09273	−	3.11339i	−0.261619	−	0.114839i
$736$	1.50000	−	2.59808i	0.0552907	−	0.0957664i
$737$	−31.8471	−	8.53341i	−1.17310	−	0.314332i
$738$	5.09393	+	7.41970i	0.187510	+	0.273123i
$739$	0.0254934	+	0.0147186i	0.000937790	+	0.000541433i	0.500469	−	0.865755i	$-0.333161\pi$
$739$	0.0254934	+	0.0147186i	0.000937790	+	0.000541433i	−0.499531	+	0.866296i	$0.666494\pi$
$740$	−6.00000	+	3.00000i	−0.220564	+	0.110282i
$741$	−21.3219	+	1.17298i	−0.783280	+	0.0430905i
$742$	−15.8787	−	15.8787i	−0.582925	−	0.582925i
$743$	7.69897	−	2.06293i	0.282448	−	0.0756817i	−0.114814	−	0.993387i	$-0.536627\pi$
$743$	7.69897	−	2.06293i	0.282448	−	0.0756817i	0.397262	+	0.917705i	$0.369960\pi$
$744$	−3.64394	−	1.34536i	−0.133593	−	0.0493233i
$745$	5.07180	+	24.7846i	0.185816	+	0.908038i
$746$	−0.445759	−	0.257359i	−0.0163204	−	0.00942259i
$747$	−12.6892	+	0.992248i	−0.464273	+	0.0363044i
$748$	25.7279	−	25.7279i	0.940706	−	0.940706i
$749$	−25.4558			−0.930136
$750$	−5.19759	+	18.6544i	−0.189789	+	0.681161i
$751$	0.393398	+	0.681386i	0.0143553	+	0.0248641i	0.873114	−	0.487516i	$-0.162097\pi$
$751$	0.393398	+	0.681386i	0.0143553	+	0.0248641i	−0.858759	+	0.512381i	$0.828764\pi$
$752$	−7.41421	+	7.41421i	−0.270369	+	0.270369i
$753$	5.31371	−	7.51472i	0.193642	−	0.273852i
$754$	−21.6251	+	12.4853i	−0.787541	+	0.454687i
$755$	24.6403	−	21.8498i	0.896752	−	0.795196i
$756$	−7.98036	+	13.3908i	−0.290243	+	0.487019i
$757$	26.8233	−	7.18729i	0.974910	−	0.261226i	0.264011	−	0.964520i	$-0.414955\pi$
$757$	26.8233	−	7.18729i	0.974910	−	0.261226i	0.710900	+	0.703293i	$0.248288\pi$
$758$	−5.32681	+	1.42731i	−0.193478	+	0.0518424i
$759$	−29.8492	+	5.12132i	−1.08346	+	0.185892i
$760$	−9.59808	−	1.69615i	−0.348159	−	0.0615259i
$761$			23.4853i			0.851341i	0.904878	+	0.425670i	$0.139962\pi$
$761$			23.4853i			0.851341i	−0.904878	+	0.425670i	$0.860038\pi$
$762$	13.6184	−	6.27401i	0.493342	−	0.227283i
$763$	4.84714	+	18.0898i	0.175478	+	0.654894i
$764$	6.70711	+	11.6170i	0.242655	+	0.420290i
$765$	40.2474	−	11.5683i	1.45515	−	0.418254i
$766$	6.75736	+	11.7041i	0.244153	+	0.422886i
$767$	11.3137	−	11.3137i	0.408514	−	0.408514i
$768$	1.41421	+	1.00000i	0.0510310	+	0.0360844i
$769$	4.35562	−	2.51472i	0.157068	−	0.0906831i	−0.419406	−	0.907799i	$-0.637762\pi$
$769$	4.35562	−	2.51472i	0.157068	−	0.0906831i	0.576474	+	0.817116i	$0.304428\pi$
$770$	38.3045	−	7.83844i	1.38040	−	0.282478i
$771$	0.414214	−	0.0710678i	0.0149175	−	0.00255944i
$772$	−8.48528	−	8.48528i	−0.305392	−	0.305392i
$773$	−10.9884	+	41.0092i	−0.395225	+	1.47500i	0.426173	+	0.904642i	$0.359862\pi$
$773$	−10.9884	+	41.0092i	−0.395225	+	1.47500i	−0.821397	+	0.570356i	$0.806805\pi$
$774$	−2.32577	+	12.5136i	−0.0835979	+	0.449793i
$775$	−1.34127	+	11.1327i	−0.0481798	+	0.399898i
$776$	2.15232	+	1.24264i	0.0772637	+	0.0446082i
$777$	6.52270	+	14.1582i	0.234001	+	0.507922i
$778$	13.4853	−	13.4853i	0.483471	−	0.483471i
$779$	10.5000	+	7.79423i	0.376202	+	0.279257i
$780$	1.65685	−	10.8284i	0.0593249	−	0.387720i
$781$	−39.0919	+	67.7091i	−1.39882	+	2.42282i
$782$	4.84714	+	18.0898i	0.173333	+	0.646889i
$783$	−44.4709	+	11.2585i	−1.58926	+	0.402346i
$784$	1.73205	+	1.00000i	0.0618590	+	0.0357143i
$785$	7.60369	−	11.5163i	0.271387	−	0.411035i
$786$	4.39340	+	25.6066i	0.156707	+	0.913357i
$787$	−22.7279	−	22.7279i	−0.810163	−	0.810163i	0.174495	−	0.984658i	$-0.444171\pi$
$787$	−22.7279	−	22.7279i	−0.810163	−	0.810163i	−0.984658	+	0.174495i	$0.944171\pi$
$788$	6.59608	−	24.6169i	0.234975	−	0.876940i
$789$	−20.6256	+	17.1454i	−0.734292	+	0.610392i
$790$	10.4853	+	20.9706i	0.373050	+	0.746099i
$791$			60.0000i			2.13335i
$792$	−1.36312	−	17.4321i	−0.0484365	−	0.619422i
$793$	4.56993	+	17.0552i	0.162283	+	0.605648i
$794$	12.9853	+	22.4912i	0.460830	+	0.798182i
$795$	22.6252	+	18.1258i	0.802432	+	0.642854i
$796$	2.87868	−	4.98602i	0.102032	−	0.176725i
$797$	13.7782	−	13.7782i	0.488048	−	0.488048i	−0.419642	−	0.907690i	$-0.637844\pi$
$797$	13.7782	−	13.7782i	0.488048	−	0.488048i	0.907690	+	0.419642i	$0.137844\pi$
$798$	−4.65153	+	22.1667i	−0.164662	+	0.784693i
$799$		−	65.4558i		−	2.31566i
$800$	1.86250	−	4.64016i	0.0658494	−	0.164054i
$801$	18.2030	+	3.38318i	0.643171	+	0.119539i
$802$	2.75058	−	10.2653i	0.0971263	−	0.362480i
$803$	43.6726	−	11.7020i	1.54117	−	0.412956i
$804$	6.26330	+	7.53465i	0.220890	+	0.265727i
$805$	−6.36396	+	19.0919i	−0.224300	+	0.672900i
$806$		−	6.34315i		−	0.223428i
$807$	−3.98426	+	43.2412i	−0.140253	+	1.52216i
$808$	5.13265	+	1.37529i	0.180566	+	0.0483825i
$809$	−47.3137			−1.66346			−0.831731	−	0.555179i	$-0.812650\pi$
$809$	−47.3137			−1.66346			−0.831731	+	0.555179i	$0.812650\pi$
$810$	8.34315	−	18.3137i	0.293148	−	0.643478i
$811$	15.2279	+	26.3755i	0.534725	+	0.926170i	0.999177	+	0.0405720i	$0.0129180\pi$
$811$	15.2279	+	26.3755i	0.534725	+	0.926170i	−0.464452	+	0.885598i	$0.653749\pi$
$812$	6.85490	+	25.5828i	0.240560	+	0.897781i
$813$	−0.317837	+	3.44949i	−0.0111470	+	0.120979i
$814$	−15.1427	−	8.74264i	−0.530751	−	0.306429i
$815$	−1.09084	+	18.1737i	−0.0382104	+	0.636596i
$816$	−10.6569	+	1.82843i	−0.373065	+	0.0640078i
$817$	2.70577	+	18.2942i	0.0946630	+	0.640034i
$818$	−18.7071	−	18.7071i	−0.654079	−	0.654079i
$819$	−25.0273	−	4.65153i	−0.874523	−	0.162538i
$820$	−5.01910	+	4.45069i	−0.175274	+	0.155425i
$821$	25.3864	−	14.6569i	0.885992	−	0.511528i	0.0133626	−	0.999911i	$-0.495746\pi$
$821$	25.3864	−	14.6569i	0.885992	−	0.511528i	0.872629	+	0.488383i	$0.162413\pi$
$822$	−2.54727	−	5.52912i	−0.0888464	−	0.192850i
$823$	−48.9308	−	13.1110i	−1.70562	−	0.457019i	−0.731275	−	0.682083i	$-0.761074\pi$
$823$	−48.9308	−	13.1110i	−1.70562	−	0.457019i	−0.974344	+	0.225063i	$0.927741\pi$
$824$	−3.00000			−0.104510
$825$	−48.0416	+	15.4853i	−1.67259	+	0.539128i
$826$	−8.48528	−	14.6969i	−0.295241	−	0.511372i
$827$	26.0516	+	6.98050i	0.905902	+	0.242736i	0.681549	−	0.731772i	$-0.261307\pi$
$827$	26.0516	+	6.98050i	0.905902	+	0.242736i	0.224353	+	0.974508i	$0.427973\pi$
$828$	8.12132	+	3.87868i	0.282235	+	0.134793i
$829$		−	4.97056i		−	0.172635i	−0.996268	−	0.0863174i	$-0.972490\pi$
$829$		−	4.97056i		−	0.172635i	0.996268	−	0.0863174i	$-0.0275099\pi$
$830$	−1.90192	−	9.29423i	−0.0660167	−	0.322607i
$831$	−8.07639	−	2.98184i	−0.280167	−	0.103439i
$832$	−0.732051	+	2.73205i	−0.0253793	+	0.0947168i
$833$	−12.0599	+	3.23143i	−0.417849	+	0.111962i
$834$	−22.7478	−	8.39861i	−0.787693	−	0.290820i
$835$	13.0294	−	6.51472i	0.450902	−	0.225451i
$836$	−10.0951	−	23.3137i	−0.349147	−	0.806321i
$837$	3.17157	−	11.2132i	0.109626	−	0.387585i
$838$	6.25606	+	23.3479i	0.216112	+	0.806541i
$839$	−9.87868	+	17.1104i	−0.341050	+	0.590716i	−0.984628	−	0.174665i	$-0.944116\pi$
$839$	−9.87868	+	17.1104i	−0.341050	+	0.590716i	0.643578	+	0.765380i	$0.277449\pi$
$840$	−10.6391	−	4.67009i	−0.367084	−	0.161133i
$841$	−24.4706	+	42.3843i	−0.843813	+	1.46153i
$842$	−12.5286	−	3.35703i	−0.431764	−	0.115691i
$843$	11.8284	−	16.7279i	0.407393	−	0.576140i
$844$			13.4853i			0.464183i
$845$	−10.9534	+	2.24144i	−0.376807	+	0.0771078i
$846$	−23.9089	−	20.4409i	−0.822007	−	0.702774i
$847$	48.7279	+	48.7279i	1.67431	+	1.67431i
$848$	−5.29289	−	5.29289i	−0.181759	−	0.181759i
$849$	−0.379933	−	0.457053i	−0.0130393	−	0.0156860i
$850$	12.2612	+	28.7041i	0.420555	+	0.984544i
$851$	7.79423	−	4.50000i	0.267183	−	0.154258i
$852$	21.1023	−	9.72188i	0.722954	−	0.333066i
$853$	−6.94371	−	25.9143i	−0.237748	−	0.887288i	−0.976891	−	0.213739i	$-0.931436\pi$
$853$	−6.94371	−	25.9143i	−0.237748	−	0.887288i	0.739143	−	0.673549i	$-0.235231\pi$
$854$	18.7279			0.640856
$855$	2.82822	−	29.1033i	0.0967231	−	0.995311i
$856$	−8.48528			−0.290021
$857$	−2.19615	−	8.19615i	−0.0750191	−	0.279975i	0.918219	−	0.396074i	$-0.129628\pi$
$857$	−2.19615	−	8.19615i	−0.0750191	−	0.279975i	−0.993238	+	0.116099i	$0.962961\pi$
$858$	25.9335	−	11.9476i	0.885356	−	0.407885i
$859$	31.5717	−	18.2279i	1.07721	−	0.621929i	0.147069	−	0.989126i	$-0.453016\pi$
$859$	31.5717	−	18.2279i	1.07721	−	0.621929i	0.930143	+	0.367198i	$0.119683\pi$
$860$	−9.46979	−	0.568406i	−0.322917	−	0.0193825i
$861$	9.96486	+	11.9876i	0.339601	+	0.408535i
$862$	8.00000	+	8.00000i	0.272481	+	0.272481i
$863$	−27.2340	−	27.2340i	−0.927057	−	0.927057i	0.0704580	−	0.997515i	$-0.477554\pi$
$863$	−27.2340	−	27.2340i	−0.927057	−	0.927057i	−0.997515	+	0.0704580i	$0.977554\pi$
$864$	−2.66012	+	4.46360i	−0.0904991	+	0.151855i
$865$	17.2124	−	26.0694i	0.585241	−	0.886387i
$866$			26.4853i			0.900006i
$867$	21.9706	−	31.0711i	0.746159	−	1.05523i
$868$	−6.49867	−	1.74131i	−0.220579	−	0.0591041i
$869$	−30.5563	+	52.9251i	−1.03655	+	1.79536i
$870$	−12.4208	−	31.8566i	−0.421104	−	1.08004i
$871$	−8.00000	+	13.8564i	−0.271070	+	0.469506i
$872$	1.61571	+	6.02993i	0.0547150	+	0.204199i
$873$	−3.21320	+	6.72792i	−0.108750	+	0.227706i
$874$	12.9904	+	1.50000i	0.439406	+	0.0507383i
$875$	−6.00000	+	33.0000i	−0.202837	+	1.11560i
$876$	−12.6045	−	4.65364i	−0.425867	−	0.157232i
$877$	−21.6907	+	5.81200i	−0.732442	+	0.196257i	−0.605717	−	0.795681i	$-0.707113\pi$
$877$	−21.6907	+	5.81200i	−0.732442	+	0.196257i	−0.126726	+	0.991938i	$0.540447\pi$
$878$	−5.55318	+	20.7248i	−0.187411	+	0.699427i
$879$	−12.9509	−	4.78154i	−0.436824	−	0.161277i
$880$	12.7682	−	2.61281i	0.430415	−	0.0880779i
$881$			7.28427i			0.245413i	0.992443	+	0.122707i	$0.0391574\pi$
$881$			7.28427i			0.245413i	−0.992443	+	0.122707i	$0.960843\pi$
$882$	−2.58579	+	5.41421i	−0.0870680	+	0.182306i
$883$	19.7873	+	5.30198i	0.665894	+	0.178426i	0.575905	−	0.817517i	$-0.304650\pi$
$883$	19.7873	+	5.30198i	0.665894	+	0.178426i	0.0899897	+	0.995943i	$0.471317\pi$
$884$	−8.82843	−	15.2913i	−0.296932	−	0.514302i
$885$	12.9706	+	17.6569i	0.436001	+	0.593529i
$886$	25.7574			0.865335
$887$	−30.3840	−	8.14137i	−1.02020	−	0.273361i	−0.290312	−	0.956932i	$-0.593759\pi$
$887$	−30.3840	−	8.14137i	−1.02020	−	0.273361i	−0.729883	+	0.683572i	$0.760426\pi$
$888$	2.17423	+	4.71940i	0.0729625	+	0.158373i
$889$	22.4912	−	12.9853i	0.754330	−	0.435512i
$890$	−0.826834	+	13.7753i	−0.0277155	+	0.461748i
$891$	51.8182	−	8.15385i	1.73598	−	0.273164i
$892$	−0.363961	−	0.363961i	−0.0121863	−	0.0121863i
$893$	−42.4986	−	16.8151i	−1.42216	−	0.562695i
$894$	19.3137	−	3.31371i	0.645947	−	0.110827i
$895$	−34.5596	+	30.6458i	−1.15520	+	1.02437i
$896$	2.59808	+	1.50000i	0.0867956	+	0.0501115i
$897$	−1.34847	+	14.6349i	−0.0450241	+	0.488647i
$898$	3.15023	+	11.7568i	0.105125	+	0.392331i
$899$	−9.89949	−	17.1464i	−0.330167	−	0.571865i
$900$	14.3137	+	4.48528i	0.477124	+	0.149509i
$901$	46.7279			1.55673
$902$	−16.8895	−	4.52552i	−0.562358	−	0.150683i
$903$	−2.02270	+	21.9524i	−0.0673114	+	0.730531i
$904$			20.0000i			0.665190i
$905$	5.27208	+	1.75736i	0.175250	+	0.0584166i
$906$	−16.3068	−	19.6169i	−0.541759	−	0.651727i
$907$	38.8714	−	10.4156i	1.29070	−	0.345843i	0.452776	−	0.891624i	$-0.350434\pi$
$907$	38.8714	−	10.4156i	1.29070	−	0.345843i	0.837928	+	0.545781i	$0.183767\pi$
$908$	−2.83939	+	10.5967i	−0.0942285	+	0.351665i
$909$	−2.91291	+	15.6727i	−0.0966152	+	0.519832i
$910$	1.13681	−	18.9396i	0.0376850	−	0.627841i
$911$		−	6.68629i		−	0.221527i	−0.993847	−	0.110763i	$-0.964670\pi$
$911$		−	6.68629i		−	0.221527i	0.993847	−	0.110763i	$-0.0353296\pi$
$912$	−1.55051	+	7.38891i	−0.0513425	+	0.244671i
$913$	17.4853	−	17.4853i	0.578678	−	0.578678i
$914$	−6.34315	+	10.9867i	−0.209813	+	0.363406i
$915$	−24.0316	+	2.65339i	−0.794460	+	0.0877185i
$916$	12.1213	+	20.9947i	0.400500	+	0.693686i
$917$	11.6469	+	43.4667i	0.384613	+	1.43540i
$918$	−7.96096	−	31.4456i	−0.262751	−	1.03786i
$919$			48.7279i			1.60739i	0.595044	+	0.803693i	$0.297135\pi$
$919$			48.7279i			1.60739i	−0.595044	+	0.803693i	$0.702865\pi$
$920$	−2.12132	+	6.36396i	−0.0699379	+	0.209814i
$921$	−10.8449	+	9.01502i	−0.357353	+	0.297055i
$922$	−9.60547	+	35.8481i	−0.316339	+	1.18059i
$923$	26.8284	+	26.8284i	0.883068	+	0.883068i
$924$	−5.12132	−	29.8492i	−0.168479	−	0.981968i
$925$	11.7992	−	9.26174i	0.387954	−	0.304524i
$926$	21.2304	+	12.2574i	0.697673	+	0.402802i
$927$	−0.701625	−	8.97261i	−0.0230444	−	0.294699i
$928$	2.28497	+	8.52761i	0.0750077	+	0.279932i
$929$	15.2990	−	26.4986i	0.501944	−	0.869392i	−0.498054	−	0.867146i	$-0.665952\pi$
$929$	15.2990	−	26.4986i	0.501944	−	0.869392i	0.999997	−	0.00224570i	$-0.000714830\pi$
$930$	8.58579	+	1.31371i	0.281539	+	0.0430782i
$931$	−1.00000	+	8.66025i	−0.0327737	+	0.283828i
$932$	4.58579	−	4.58579i	0.150212	−	0.150212i
$933$	−6.14966	−	13.3485i	−0.201331	−	0.437009i
$934$	−12.5446	−	7.24264i	−0.410473	−	0.236986i
$935$	−44.8279	+	67.8949i	−1.46603	+	2.22040i
$936$	−8.34242	−	1.55051i	−0.272680	−	0.0506800i
$937$	10.9700	−	40.9406i	0.358374	−	1.33747i	−0.517811	−	0.855495i	$-0.673253\pi$
$937$	10.9700	−	40.9406i	0.358374	−	1.33747i	0.876185	−	0.481975i	$-0.160080\pi$
$938$	12.0000	+	12.0000i	0.391814	+	0.391814i
$939$	16.3137	−	2.79899i	0.532378	−	0.0913416i
$940$	12.9184	−	19.5658i	0.421352	−	0.638166i
$941$	−11.9503	+	6.89949i	−0.389568	+	0.224917i	−0.681973	−	0.731377i	$-0.738878\pi$
$941$	−11.9503	+	6.89949i	−0.389568	+	0.224917i	0.292405	+	0.956295i	$0.405544\pi$
$942$	−8.72792	−	6.17157i	−0.284371	−	0.201081i
$943$	6.36396	−	6.36396i	0.207239	−	0.207239i
$944$	−2.82843	−	4.89898i	−0.0920575	−	0.159448i
$945$	11.4794	−	32.9124i	0.373425	−	1.07064i
$946$	−12.3640	−	21.4150i	−0.401987	−	0.696262i
$947$	3.30947	+	12.3511i	0.107543	+	0.401357i	0.998621	−	0.0524933i	$-0.0167168\pi$
$947$	3.30947	+	12.3511i	0.107543	+	0.401357i	−0.891078	+	0.453850i	$0.850050\pi$
$948$	16.4947	−	7.59915i	0.535724	−	0.246809i
$949$		−	21.9411i		−	0.712239i
$950$	21.7866	−	0.586988i	0.706850	−	0.0190444i
$951$	38.3345	−	6.57716i	1.24308	−	0.213279i
$952$	−18.0898	+	4.84714i	−0.586293	+	0.157097i
$953$	−27.9834	+	7.49813i	−0.906472	+	0.242888i	−0.681794	−	0.731545i	$-0.738800\pi$
$953$	−27.9834	+	7.49813i	−0.906472	+	0.242888i	−0.224678	+	0.974433i	$0.572133\pi$
$954$	14.5925	−	17.0682i	0.472449	−	0.552604i
$955$	−19.9008	−	22.4424i	−0.643976	−	0.726220i
$956$	20.1903	−	11.6569i	0.653000	−	0.377010i
$957$	51.4558	−	72.7696i	1.66333	−	2.35231i
$958$	4.51472	−	4.51472i	0.145864	−	0.145864i
$959$	−5.27208	−	9.13151i	−0.170244	−	0.294872i
$960$	−3.54636	−	1.55670i	−0.114458	−	0.0502422i
$961$	−25.9706			−0.837760
$962$	−6.00000	+	6.00000i	−0.193448	+	0.193448i
$963$	−1.98450	−	25.3784i	−0.0639495	−	0.817807i
$964$	14.2767	+	8.24264i	0.459821	+	0.265478i
$965$	22.3923	+	14.7846i	0.720834	+	0.475933i
$966$	14.6236	+	5.39910i	0.470507	+	0.173713i
$967$	7.20179	−	1.92971i	0.231594	−	0.0620554i	−0.141155	−	0.989987i	$-0.545082\pi$
$967$	7.20179	−	1.92971i	0.231594	−	0.0620554i	0.372749	+	0.927932i	$0.378415\pi$
$968$	16.2426	+	16.2426i	0.522058	+	0.522058i
$969$	−25.7719	−	39.4605i	−0.827913	−	1.26765i
$970$	−5.27208	−	1.75736i	−0.169276	−	0.0564254i
$971$	27.2416	+	15.7279i	0.874223	+	0.504733i	0.868749	−	0.495252i	$-0.164924\pi$
$971$	27.2416	+	15.7279i	0.874223	+	0.504733i	0.00547389	+	0.999985i	$0.498258\pi$
$972$	−13.9722	−	6.91215i	−0.448158	−	0.221707i
$973$	−40.5689	−	10.8704i	−1.30058	−	0.348489i
$974$	−2.39949	+	4.15605i	−0.0768848	+	0.133168i
$975$	1.22463	+	24.4643i	0.0392195	+	0.783484i
$976$	6.24264			0.199822
$977$	−16.2426	+	16.2426i	−0.519648	+	0.519648i	−0.917465	−	0.397817i	$-0.869768\pi$
$977$	−16.2426	+	16.2426i	−0.519648	+	0.519648i	0.397817	+	0.917465i	$0.369768\pi$
$978$	14.0431	+	1.29394i	0.449049	+	0.0413755i
$979$	−31.1514	+	17.9853i	−0.995604	+	0.574812i
$980$	−4.24264	−	1.41421i	−0.135526	−	0.0451754i
$981$	−17.6569	+	6.24264i	−0.563740	+	0.199312i
$982$	9.09545	−	33.9447i	0.290248	−	1.08322i
$983$	33.2818	−	8.91783i	1.06152	−	0.284435i	0.314518	−	0.949252i	$-0.398157\pi$
$983$	33.2818	−	8.91783i	1.06152	−	0.284435i	0.747006	+	0.664817i	$0.231490\pi$
$984$	3.32162	+	3.99585i	0.105889	+	0.127383i
$985$	−3.41438	+	56.8844i	−0.108791	+	1.81249i
$986$	−47.7290	−	27.5563i	−1.52000	−	0.877573i
$987$	−44.4853	−	31.4558i	−1.41598	−	1.00125i
$988$	−12.1962	+	1.80385i	−0.388011	+	0.0573880i
$989$	12.7279			0.404724
$990$	10.8007	+	37.5768i	0.343270	+	1.19427i
$991$	−3.00000	+	5.19615i	−0.0952981	+	0.165061i	−0.909733	−	0.415194i	$-0.863714\pi$
$991$	−3.00000	+	5.19615i	−0.0952981	+	0.165061i	0.814435	+	0.580255i	$0.197047\pi$
$992$	−2.16622	−	0.580438i	−0.0687777	−	0.0184289i
$993$	46.3842	−	21.3693i	1.47196	−	0.678134i
$994$	34.8511	−	20.1213i	1.10541	−	0.638210i
$995$	−4.07107	+	12.2132i	−0.129062	+	0.387185i
$996$	−7.24264	+	1.24264i	−0.229492	+	0.0393746i
$997$	9.91632	−	37.0082i	0.314053	−	1.17206i	−0.610815	−	0.791773i	$-0.709158\pi$
$997$	9.91632	−	37.0082i	0.314053	−	1.17206i	0.924868	−	0.380288i	$-0.124175\pi$
$998$	1.04290	−	3.89214i	0.0330123	−	0.123203i
$999$	−13.6066	+	7.60660i	−0.430494	+	0.240662i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	570.2.v.a.467.2	yes	8
3.2	odd	2		570.2.v.b.467.1	yes	8
5.3	odd	4		570.2.v.b.353.2	yes	8
15.8	even	4	inner	570.2.v.a.353.1	yes	8
19.7	even	3	inner	570.2.v.a.197.1	yes	8
57.26	odd	6		570.2.v.b.197.2	yes	8
95.83	odd	12		570.2.v.b.83.1	yes	8
285.83	even	12	inner	570.2.v.a.83.2	✓	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.v.a.83.2	✓	8	285.83	even	12	inner
570.2.v.a.197.1	yes	8	19.7	even	3	inner
570.2.v.a.353.1	yes	8	15.8	even	4	inner
570.2.v.a.467.2	yes	8	1.1	even	1	trivial
570.2.v.b.83.1	yes	8	95.83	odd	12
570.2.v.b.197.2	yes	8	57.26	odd	6
570.2.v.b.353.2	yes	8	5.3	odd	4
570.2.v.b.467.1	yes	8	3.2	odd	2

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.v (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.258819 + 0.965926i) q^{2} +(-1.57313 + 0.724745i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(1.67303 - 1.48356i) q^{5} +(-1.10721 - 1.33195i) q^{6} +(-2.12132 - 2.12132i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(1.94949 - 2.28024i) q^{9} +O(q^{10})\)	\(q+(0.258819 + 0.965926i) q^{2} +(-1.57313 + 0.724745i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(1.67303 - 1.48356i) q^{5} +(-1.10721 - 1.33195i) q^{6} +(-2.12132 - 2.12132i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(1.94949 - 2.28024i) q^{9} +(1.86603 + 1.23205i) q^{10} +5.82843i q^{11} +(1.00000 - 1.41421i) q^{12} +(2.73205 + 0.732051i) q^{13} +(1.50000 - 2.59808i) q^{14} +(-1.55670 + 3.54636i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.61571 + 6.02993i) q^{17} +(2.70711 + 1.29289i) q^{18} +(4.33013 + 0.500000i) q^{19} +(-0.707107 + 2.12132i) q^{20} +(4.87453 + 1.79970i) q^{21} +(-5.62983 + 1.50851i) q^{22} +(0.776457 - 2.89778i) q^{23} +(1.62484 + 0.599900i) q^{24} +(0.598076 - 4.96410i) q^{25} +2.82843i q^{26} +(-1.41421 + 5.00000i) q^{27} +(2.89778 + 0.776457i) q^{28} +(4.41421 + 7.64564i) q^{29} +(-3.82843 - 0.585786i) q^{30} -2.24264 q^{31} +(0.965926 + 0.258819i) q^{32} +(-4.22412 - 9.16889i) q^{33} +(-5.40629 + 3.12132i) q^{34} +(-6.69615 - 0.401924i) q^{35} +(-0.548188 + 2.94949i) q^{36} +(2.12132 + 2.12132i) q^{37} +(0.637756 + 4.31199i) q^{38} +(-4.82843 + 0.828427i) q^{39} +(-2.23205 - 0.133975i) q^{40} +(2.59808 + 1.50000i) q^{41} +(-0.476756 + 5.17423i) q^{42} +(1.09808 + 4.09808i) q^{43} +(-2.91421 - 5.04757i) q^{44} +(-0.121320 - 6.70711i) q^{45} +3.00000 q^{46} +(-10.1280 - 2.71379i) q^{47} +(-0.158919 + 1.72474i) q^{48} +2.00000i q^{49} +(4.94975 - 0.707107i) q^{50} +(-6.91189 - 8.31489i) q^{51} +(-2.73205 + 0.732051i) q^{52} +(1.93733 - 7.23023i) q^{53} +(-5.19565 - 0.0719302i) q^{54} +(8.64684 + 9.75115i) q^{55} +3.00000i q^{56} +(-7.17423 + 2.35167i) q^{57} +(-6.24264 + 6.24264i) q^{58} +(2.82843 - 4.89898i) q^{59} +(-0.425044 - 3.84959i) q^{60} +(3.12132 + 5.40629i) q^{61} +(-0.580438 - 2.16622i) q^{62} +(-8.97261 + 0.701625i) q^{63} +1.00000i q^{64} +(5.65685 - 2.82843i) q^{65} +(7.76318 - 6.45327i) q^{66} +(-1.46410 + 5.46410i) q^{67} +(-4.41421 - 4.41421i) q^{68} +(0.878680 + 5.12132i) q^{69} +(-1.34486 - 6.57201i) q^{70} +(11.6170 + 6.70711i) q^{71} +(-2.99087 + 0.233875i) q^{72} +(-2.00775 - 7.49303i) q^{73} +(-1.50000 + 2.59808i) q^{74} +(2.65685 + 8.24264i) q^{75} +(-4.00000 + 1.73205i) q^{76} +(12.3640 - 12.3640i) q^{77} +(-2.04989 - 4.44949i) q^{78} +(9.08052 + 5.24264i) q^{79} +(-0.448288 - 2.19067i) q^{80} +(-1.39898 - 8.89060i) q^{81} +(-0.776457 + 2.89778i) q^{82} +(-3.00000 - 3.00000i) q^{83} +(-5.12132 + 0.878680i) q^{84} +(11.6489 + 7.69125i) q^{85} +(-3.67423 + 2.12132i) q^{86} +(-12.4853 - 8.82843i) q^{87} +(4.12132 - 4.12132i) q^{88} +(3.08579 + 5.34474i) q^{89} +(6.44717 - 1.85311i) q^{90} +(-4.24264 - 7.34847i) q^{91} +(0.776457 + 2.89778i) q^{92} +(3.52797 - 1.62534i) q^{93} -10.4853i q^{94} +(7.98623 - 5.58750i) q^{95} +(-1.70711 + 0.292893i) q^{96} +(-2.40060 + 0.643238i) q^{97} +(-1.93185 + 0.517638i) q^{98} +(13.2902 + 11.3625i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q - 4 q^{6} - 4 q^{9}+O(q^{10}) \) 8 * q - 4 * q^6 - 4 * q^9	\( 8 q - 4 q^{6} - 4 q^{9} + 8 q^{10} + 8 q^{12} + 8 q^{13} + 12 q^{14} + 12 q^{15} + 4 q^{16} - 12 q^{17} + 16 q^{18} + 12 q^{21} - 8 q^{22} + 4 q^{24} - 16 q^{25} + 24 q^{29} - 8 q^{30} + 16 q^{31} + 12 q^{33} - 12 q^{35} - 16 q^{39} - 4 q^{40} - 12 q^{43} - 12 q^{44} + 16 q^{45} + 24 q^{46} - 24 q^{47} - 20 q^{51} - 8 q^{52} - 24 q^{53} + 4 q^{54} - 8 q^{55} - 28 q^{57} - 16 q^{58} + 4 q^{60} + 8 q^{61} + 12 q^{62} - 24 q^{63} - 4 q^{66} + 16 q^{67} - 24 q^{68} + 24 q^{69} - 8 q^{72} - 12 q^{73} - 12 q^{74} - 24 q^{75} - 32 q^{76} + 48 q^{77} + 28 q^{81} - 24 q^{83} - 24 q^{84} + 16 q^{85} - 32 q^{87} + 16 q^{88} + 36 q^{89} + 8 q^{90} + 24 q^{93} - 8 q^{96} - 24 q^{97} + 32 q^{99}+O(q^{100}) \) 8 * q - 4 * q^6 - 4 * q^9 + 8 * q^10 + 8 * q^12 + 8 * q^13 + 12 * q^14 + 12 * q^15 + 4 * q^16 - 12 * q^17 + 16 * q^18 + 12 * q^21 - 8 * q^22 + 4 * q^24 - 16 * q^25 + 24 * q^29 - 8 * q^30 + 16 * q^31 + 12 * q^33 - 12 * q^35 - 16 * q^39 - 4 * q^40 - 12 * q^43 - 12 * q^44 + 16 * q^45 + 24 * q^46 - 24 * q^47 - 20 * q^51 - 8 * q^52 - 24 * q^53 + 4 * q^54 - 8 * q^55 - 28 * q^57 - 16 * q^58 + 4 * q^60 + 8 * q^61 + 12 * q^62 - 24 * q^63 - 4 * q^66 + 16 * q^67 - 24 * q^68 + 24 * q^69 - 8 * q^72 - 12 * q^73 - 12 * q^74 - 24 * q^75 - 32 * q^76 + 48 * q^77 + 28 * q^81 - 24 * q^83 - 24 * q^84 + 16 * q^85 - 32 * q^87 + 16 * q^88 + 36 * q^89 + 8 * q^90 + 24 * q^93 - 8 * q^96 - 24 * q^97 + 32 * q^99

Introduction

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