LMFDB - Embedded newform 570.2.v.b.197.2

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			197.2
Root			$-0.258819 + 0.965926i$ of defining polynomial
Character	$\chi$	$=$	570.197
Dual form			570.2.v.b.353.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.965926 + 0.258819i) q^{2} +(-0.724745 + 1.57313i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.448288 - 2.19067i) q^{5} +(-1.10721 + 1.33195i) q^{6} +(-2.12132 - 2.12132i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.94949 - 2.28024i) q^{9} +O(q^{10})$	\(q+(0.965926 + 0.258819i) q^{2} +(-0.724745 + 1.57313i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.448288 - 2.19067i) 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} +(0.133975 - 2.23205i) q^{10} -5.82843i q^{11} +(-1.41421 + 1.00000i) q^{12} +(-0.732051 - 2.73205i) q^{13} +(-1.50000 - 2.59808i) q^{14} +(3.77111 + 0.882461i) q^{15} +(0.500000 + 0.866025i) q^{16} +(6.02993 + 1.61571i) q^{17} +(-1.29289 - 2.70711i) q^{18} +(-4.33013 + 0.500000i) q^{19} +(0.707107 - 2.12132i) q^{20} +(4.87453 - 1.79970i) q^{21} +(1.50851 - 5.62983i) q^{22} +(2.89778 - 0.776457i) q^{23} +(-1.62484 + 0.599900i) q^{24} +(-4.59808 + 1.96410i) q^{25} -2.82843i q^{26} +(5.00000 - 1.41421i) q^{27} +(-0.776457 - 2.89778i) q^{28} +(-4.41421 + 7.64564i) q^{29} +(3.41421 + 1.82843i) q^{30} -2.24264 q^{31} +(0.258819 + 0.965926i) q^{32} +(9.16889 + 4.22412i) q^{33} +(5.40629 + 3.12132i) q^{34} +(-3.69615 + 5.59808i) q^{35} +(-0.548188 - 2.94949i) q^{36} +(2.12132 + 2.12132i) q^{37} +(-4.31199 - 0.637756i) q^{38} +(4.82843 + 0.828427i) q^{39} +(1.23205 - 1.86603i) q^{40} +(2.59808 - 1.50000i) q^{41} +(5.17423 - 0.476756i) q^{42} +(-4.09808 - 1.09808i) q^{43} +(2.91421 - 5.04757i) q^{44} +(-4.12132 + 5.29289i) q^{45} +3.00000 q^{46} +(-2.71379 - 10.1280i) q^{47} +(-1.72474 + 0.158919i) q^{48} +2.00000i q^{49} +(-4.94975 + 0.707107i) q^{50} +(-6.91189 + 8.31489i) q^{51} +(0.732051 - 2.73205i) q^{52} +(7.23023 - 1.93733i) q^{53} +(5.19565 - 0.0719302i) q^{54} +(-12.7682 + 2.61281i) q^{55} -3.00000i q^{56} +(2.35167 - 7.17423i) q^{57} +(-6.24264 + 6.24264i) q^{58} +(-2.82843 - 4.89898i) q^{59} +(2.82465 + 2.64979i) q^{60} +(3.12132 - 5.40629i) q^{61} +(-2.16622 - 0.580438i) q^{62} +(-0.701625 + 8.97261i) q^{63} +1.00000i q^{64} +(-5.65685 + 2.82843i) q^{65} +(7.76318 + 6.45327i) q^{66} +(5.46410 - 1.46410i) q^{67} +(4.41421 + 4.41421i) q^{68} +(-0.878680 + 5.12132i) q^{69} +(-5.01910 + 4.45069i) q^{70} +(11.6170 - 6.70711i) q^{71} +(0.233875 - 2.99087i) q^{72} +(7.49303 + 2.00775i) q^{73} +(1.50000 + 2.59808i) q^{74} +(0.242641 - 8.65685i) q^{75} +(-4.00000 - 1.73205i) q^{76} +(-12.3640 + 12.3640i) q^{77} +(4.44949 + 2.04989i) q^{78} +(-9.08052 + 5.24264i) q^{79} +(1.67303 - 1.48356i) q^{80} +(-1.39898 + 8.89060i) q^{81} +(2.89778 - 0.776457i) q^{82} +(3.00000 + 3.00000i) q^{83} +(5.12132 + 0.878680i) q^{84} +(0.836355 - 13.9339i) q^{85} +(-3.67423 - 2.12132i) q^{86} +(-8.82843 - 12.4853i) q^{87} +(4.12132 - 4.12132i) q^{88} +(-3.08579 + 5.34474i) q^{89} +(-5.35079 + 4.04587i) q^{90} +(-4.24264 + 7.34847i) q^{91} +(2.89778 + 0.776457i) q^{92} +(1.62534 - 3.52797i) q^{93} -10.4853i q^{94} +(3.03648 + 9.26174i) q^{95} +(-1.70711 - 0.292893i) q^{96} +(0.643238 - 2.40060i) q^{97} +(-0.517638 + 1.93185i) q^{98} +(-13.2902 + 11.3625i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 4 q^{3} - 4 q^{6} + 4 q^{9}+O(q^{10}) $ 8 * q + 4 * q^3 - 4 * q^6 + 4 * q^9	$ 8 q + 4 q^{3} - 4 q^{6} + 4 q^{9} + 8 q^{10} + 8 q^{13} - 12 q^{14} - 4 q^{15} + 4 q^{16} + 12 q^{17} - 16 q^{18} + 12 q^{21} - 8 q^{22} - 4 q^{24} - 16 q^{25} + 40 q^{27} - 24 q^{29} + 16 q^{30} + 16 q^{31} + 16 q^{33} + 12 q^{35} + 16 q^{39} - 4 q^{40} + 12 q^{42} - 12 q^{43} + 12 q^{44} - 16 q^{45} + 24 q^{46} + 24 q^{47} - 4 q^{48} - 20 q^{51} - 8 q^{52} + 24 q^{53} - 4 q^{54} - 8 q^{55} - 16 q^{58} + 12 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} - 32 q^{75} - 32 q^{76} - 48 q^{77} + 16 q^{78} + 28 q^{81} + 24 q^{83} + 24 q^{84} + 16 q^{85} - 48 q^{87} + 16 q^{88} - 36 q^{89} - 8 q^{90} + 8 q^{93} - 8 q^{96} - 24 q^{97} - 32 q^{99}+O(q^{100}) $ 8 * q + 4 * q^3 - 4 * q^6 + 4 * q^9 + 8 * q^10 + 8 * q^13 - 12 * q^14 - 4 * q^15 + 4 * q^16 + 12 * q^17 - 16 * q^18 + 12 * q^21 - 8 * q^22 - 4 * q^24 - 16 * q^25 + 40 * q^27 - 24 * q^29 + 16 * q^30 + 16 * q^31 + 16 * q^33 + 12 * q^35 + 16 * q^39 - 4 * q^40 + 12 * q^42 - 12 * q^43 + 12 * q^44 - 16 * q^45 + 24 * q^46 + 24 * q^47 - 4 * q^48 - 20 * q^51 - 8 * q^52 + 24 * q^53 - 4 * q^54 - 8 * q^55 - 16 * q^58 + 12 * 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 - 32 * q^75 - 32 * q^76 - 48 * q^77 + 16 * q^78 + 28 * q^81 + 24 * q^83 + 24 * q^84 + 16 * q^85 - 48 * q^87 + 16 * q^88 - 36 * q^89 - 8 * q^90 + 8 * 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 $\left(\mathbb{Z}/570\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.965926	+	0.258819i	0.683013	+	0.183013i
$2$	0.965926	+	0.258819i	0.683013	+	0.183013i
$3$	−0.724745	+	1.57313i	−0.418432	+	0.908248i
$3$	−0.724745	+	1.57313i	−0.418432	+	0.908248i
$4$	0.866025	+	0.500000i	0.433013	+	0.250000i
$5$	−0.448288	−	2.19067i	−0.200480	−	0.979698i
$5$	−0.448288	−	2.19067i	−0.200480	−	0.979698i
$6$	−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
$10$	0.133975	−	2.23205i	0.0423665	−	0.705836i
$11$		−	5.82843i		−	1.75734i	−0.477432	−	0.878668i	$-0.658432\pi$
$11$		−	5.82843i		−	1.75734i	0.477432	−	0.878668i	$-0.341568\pi$
$12$	−1.41421	+	1.00000i	−0.408248	+	0.288675i
$13$	−0.732051	−	2.73205i	−0.203034	−	0.757735i	−0.990040	−	0.140788i	$-0.955036\pi$
$13$	−0.732051	−	2.73205i	−0.203034	−	0.757735i	0.787005	−	0.616946i	$-0.211630\pi$
$14$	−1.50000	−	2.59808i	−0.400892	−	0.694365i
$15$	3.77111	+	0.882461i	0.973696	+	0.227851i
$16$	0.500000	+	0.866025i	0.125000	+	0.216506i
$17$	6.02993	+	1.61571i	1.46247	+	0.391868i	0.900343	−	0.435181i	$-0.143316\pi$
$17$	6.02993	+	1.61571i	1.46247	+	0.391868i	0.562129	+	0.827049i	$0.309982\pi$
$18$	−1.29289	−	2.70711i	−0.304738	−	0.638071i
$19$	−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
$22$	1.50851	−	5.62983i	0.321615	−	1.20028i
$23$	2.89778	−	0.776457i	0.604228	−	0.161903i	0.0562805	−	0.998415i	$-0.482076\pi$
$23$	2.89778	−	0.776457i	0.604228	−	0.161903i	0.547948	+	0.836512i	$0.315409\pi$
$24$	−1.62484	+	0.599900i	−0.331670	+	0.122454i
$25$	−4.59808	+	1.96410i	−0.919615	+	0.392820i
$26$		−	2.82843i		−	0.554700i
$27$	5.00000	−	1.41421i	0.962250	−	0.272166i
$28$	−0.776457	−	2.89778i	−0.146737	−	0.547628i
$29$	−4.41421	+	7.64564i	−0.819699	+	1.41976i	0.0862053	+	0.996277i	$0.472526\pi$
$29$	−4.41421	+	7.64564i	−0.819699	+	1.41976i	−0.905904	+	0.423483i	$0.860807\pi$
$30$	3.41421	+	1.82843i	0.623347	+	0.333824i
$31$	−2.24264			−0.402790			−0.201395	−	0.979510i	$-0.564548\pi$
$31$	−2.24264			−0.402790			−0.201395	+	0.979510i	$0.564548\pi$
$32$	0.258819	+	0.965926i	0.0457532	+	0.170753i
$33$	9.16889	+	4.22412i	1.59610	+	0.735325i
$34$	5.40629	+	3.12132i	0.927170	+	0.535302i
$35$	−3.69615	+	5.59808i	−0.624764	+	0.946248i
$36$	−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	$0.670687\pi$
$38$	−4.31199	−	0.637756i	−0.699497	−	0.103458i
$39$	4.82843	+	0.828427i	0.773167	+	0.132655i
$40$	1.23205	−	1.86603i	0.194804	−	0.295045i
$41$	2.59808	−	1.50000i	0.405751	−	0.234261i	−0.283211	−	0.959058i	$-0.591400\pi$
$41$	2.59808	−	1.50000i	0.405751	−	0.234261i	0.688963	+	0.724797i	$0.258066\pi$
$42$	5.17423	−	0.476756i	0.798402	−	0.0735650i
$43$	−4.09808	−	1.09808i	−0.624951	−	0.167455i	−0.0675734	−	0.997714i	$-0.521526\pi$
$43$	−4.09808	−	1.09808i	−0.624951	−	0.167455i	−0.557377	+	0.830259i	$0.688192\pi$
$44$	2.91421	−	5.04757i	0.439334	−	0.760949i
$45$	−4.12132	+	5.29289i	−0.614370	+	0.789018i
$46$	3.00000			0.442326
$47$	−2.71379	−	10.1280i	−0.395847	−	1.47732i	−0.820333	−	0.571887i	$-0.806212\pi$
$47$	−2.71379	−	10.1280i	−0.395847	−	1.47732i	0.424486	−	0.905435i	$-0.360455\pi$
$48$	−1.72474	+	0.158919i	−0.248945	+	0.0229379i
$49$			2.00000i			0.285714i
$50$	−4.94975	+	0.707107i	−0.700000	+	0.100000i
$51$	−6.91189	+	8.31489i	−0.967858	+	1.16432i
$52$	0.732051	−	2.73205i	0.101517	−	0.378867i
$53$	7.23023	−	1.93733i	0.993148	−	0.266113i	0.274576	−	0.961565i	$-0.411463\pi$
$53$	7.23023	−	1.93733i	0.993148	−	0.266113i	0.718572	+	0.695452i	$0.244796\pi$
$54$	5.19565	−	0.0719302i	0.707039	−	0.00978846i
$55$	−12.7682	+	2.61281i	−1.72166	+	0.352312i
$56$		−	3.00000i		−	0.400892i
$57$	2.35167	−	7.17423i	0.311486	−	0.950251i
$58$	−6.24264	+	6.24264i	−0.819699	+	0.819699i
$59$	−2.82843	−	4.89898i	−0.368230	−	0.637793i	0.621059	−	0.783764i	$-0.286703\pi$
$59$	−2.82843	−	4.89898i	−0.368230	−	0.637793i	−0.989289	+	0.145971i	$0.953369\pi$
$60$	2.82465	+	2.64979i	0.364660	+	0.342086i
$61$	3.12132	−	5.40629i	0.399644	−	0.692204i	−0.594038	−	0.804437i	$-0.702467\pi$
$61$	3.12132	−	5.40629i	0.399644	−	0.692204i	0.993682	+	0.112233i	$0.0358004\pi$
$62$	−2.16622	−	0.580438i	−0.275111	−	0.0737157i
$63$	−0.701625	+	8.97261i	−0.0883964	+	1.13044i
$64$			1.00000i			0.125000i
$65$	−5.65685	+	2.82843i	−0.701646	+	0.350823i
$66$	7.76318	+	6.45327i	0.955581	+	0.794343i
$67$	5.46410	−	1.46410i	0.667546	−	0.178868i	0.0908970	−	0.995860i	$-0.471027\pi$
$67$	5.46410	−	1.46410i	0.667546	−	0.178868i	0.576649	+	0.816992i	$0.304360\pi$
$68$	4.41421	+	4.41421i	0.535302	+	0.535302i
$69$	−0.878680	+	5.12132i	−0.105781	+	0.616535i
$70$	−5.01910	+	4.45069i	−0.599897	+	0.531959i
$71$	11.6170	−	6.70711i	1.37869	−	0.795987i	0.386688	−	0.922210i	$-0.373619\pi$
$71$	11.6170	−	6.70711i	1.37869	−	0.795987i	0.992002	+	0.126223i	$0.0402856\pi$
$72$	0.233875	−	2.99087i	0.0275624	−	0.352477i
$73$	7.49303	+	2.00775i	0.876993	+	0.234990i	0.669109	−	0.743164i	$-0.266676\pi$
$73$	7.49303	+	2.00775i	0.876993	+	0.234990i	0.207884	+	0.978154i	$0.433342\pi$
$74$	1.50000	+	2.59808i	0.174371	+	0.302020i
$75$	0.242641	−	8.65685i	0.0280177	−	0.999607i
$76$	−4.00000	−	1.73205i	−0.458831	−	0.198680i
$77$	−12.3640	+	12.3640i	−1.40900	+	1.40900i
$78$	4.44949	+	2.04989i	0.503806	+	0.232104i
$79$	−9.08052	+	5.24264i	−1.02164	+	0.589843i	−0.914578	−	0.404409i	$-0.867477\pi$
$79$	−9.08052	+	5.24264i	−1.02164	+	0.589843i	−0.107060	+	0.994253i	$0.534144\pi$
$80$	1.67303	−	1.48356i	0.187051	−	0.165867i
$81$	−1.39898	+	8.89060i	−0.155442	+	0.987845i
$82$	2.89778	−	0.776457i	0.320006	−	0.0857453i
$83$	3.00000	+	3.00000i	0.329293	+	0.329293i	0.852318	−	0.523025i	$-0.175196\pi$
$83$	3.00000	+	3.00000i	0.329293	+	0.329293i	−0.523025	+	0.852318i	$0.675196\pi$
$84$	5.12132	+	0.878680i	0.558782	+	0.0958718i
$85$	0.836355	−	13.9339i	0.0907155	−	1.51134i
$86$	−3.67423	−	2.12132i	−0.396203	−	0.228748i
$87$	−8.82843	−	12.4853i	−0.946507	−	1.33856i
$88$	4.12132	−	4.12132i	0.439334	−	0.439334i
$89$	−3.08579	+	5.34474i	−0.327093	+	0.566541i	−0.981934	−	0.189226i	$-0.939402\pi$
$89$	−3.08579	+	5.34474i	−0.327093	+	0.566541i	0.654841	+	0.755767i	$0.272736\pi$
$90$	−5.35079	+	4.04587i	−0.564023	+	0.426472i
$91$	−4.24264	+	7.34847i	−0.444750	+	0.770329i
$92$	2.89778	+	0.776457i	0.302114	+	0.0809513i
$93$	1.62534	−	3.52797i	0.168540	−	0.365833i
$94$		−	10.4853i		−	1.08147i
$95$	3.03648	+	9.26174i	0.311536	+	0.950234i
$96$	−1.70711	−	0.292893i	−0.174231	−	0.0298933i
$97$	0.643238	−	2.40060i	0.0653109	−	0.243744i	−0.925551	−	0.378623i	$-0.876398\pi$
$97$	0.643238	−	2.40060i	0.0653109	−	0.243744i	0.990862	+	0.134879i	$0.0430645\pi$
$98$	−0.517638	+	1.93185i	−0.0522893	+	0.195146i
$99$	−13.2902	+	11.3625i	−1.33572	+	1.14197i
$100$	−4.96410	−	0.598076i	−0.496410	−	0.0598076i
$101$	−4.60181	−	2.65685i	−0.457897	−	0.264367i	0.253263	−	0.967398i	$-0.418496\pi$
$101$	−4.60181	−	2.65685i	−0.457897	−	0.264367i	−0.711160	+	0.703031i	$0.751830\pi$
$102$	−8.82843	+	6.24264i	−0.874145	+	0.618114i
$103$	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
$105$	−6.12775	−	9.87171i	−0.598007	−	0.963381i
$106$	7.48528			0.727035
$107$	−6.00000	+	6.00000i	−0.580042	+	0.580042i	−0.934915	−	0.354873i	$-0.884524\pi$
$107$	−6.00000	+	6.00000i	−0.580042	+	0.580042i	0.354873	+	0.934915i	$0.384524\pi$
$108$	5.03723	+	1.27526i	0.484708	+	0.122711i
$109$	5.40629	−	3.12132i	0.517828	−	0.298968i	−0.218217	−	0.975900i	$-0.570024\pi$
$109$	5.40629	−	3.12132i	0.517828	−	0.298968i	0.736046	+	0.676932i	$0.236691\pi$
$110$	−13.0093	−	0.780861i	−1.24039	−	0.0744522i
$111$	−4.87453	+	1.79970i	−0.462670	+	0.170820i
$112$	0.776457	−	2.89778i	0.0733683	−	0.273814i
$113$	14.1421	+	14.1421i	1.33038	+	1.33038i	0.905028	+	0.425352i	$0.139850\pi$
$113$	14.1421	+	14.1421i	1.33038	+	1.33038i	0.425352	+	0.905028i	$0.360150\pi$
$114$	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
$117$	−4.80260	+	6.99536i	−0.444001	+	0.646721i
$118$	−1.46410	−	5.46410i	−0.134781	−	0.503011i
$119$	−9.36396	−	16.2189i	−0.858393	−	1.48678i
$120$	2.04258	+	3.29057i	0.186461	+	0.300387i
$121$	−22.9706			−2.08823
$122$	4.41421	−	4.41421i	0.399644	−	0.399644i
$123$	0.476756	+	5.17423i	0.0429876	+	0.466545i
$124$	−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
$127$	8.36188	−	2.24056i	0.741997	−	0.198817i	0.132031	−	0.991246i	$-0.457850\pi$
$127$	8.36188	−	2.24056i	0.741997	−	0.198817i	0.609965	+	0.792428i	$0.291183\pi$
$128$	−0.258819	+	0.965926i	−0.0228766	+	0.0853766i
$129$	4.69748	−	5.65099i	0.413590	−	0.497542i
$130$	−6.19615	+	1.26795i	−0.543439	+	0.111207i
$131$	−12.9904	+	7.50000i	−1.13497	+	0.655278i	−0.945181	−	0.326546i	$-0.894115\pi$
$131$	−12.9904	+	7.50000i	−1.13497	+	0.655278i	−0.189794	+	0.981824i	$0.560782\pi$
$132$	5.82843	+	8.24264i	0.507299	+	0.717430i
$133$	10.2462	+	8.12493i	0.888462	+	0.704520i
$134$	5.65685			0.488678
$135$	−5.33951	−	10.3194i	−0.459552	−	0.888151i
$136$	3.12132	+	5.40629i	0.267651	+	0.463585i
$137$	0.909676	+	3.39496i	0.0777189	+	0.290051i	0.993836	−	0.110860i	$-0.0353605\pi$
$137$	0.909676	+	3.39496i	0.0777189	+	0.290051i	−0.916117	+	0.400911i	$0.868694\pi$
$138$	−2.17423	+	4.71940i	−0.185083	+	0.401742i
$139$	−12.1244	−	7.00000i	−1.02837	−	0.593732i	−0.111856	−	0.993724i	$-0.535679\pi$
$139$	−12.1244	−	7.00000i	−1.02837	−	0.593732i	−0.916519	+	0.399992i	$0.869013\pi$
$140$	−6.00000	+	3.00000i	−0.507093	+	0.253546i
$141$	17.8995	+	3.07107i	1.50741	+	0.258631i
$142$	12.9571	−	3.47185i	1.08734	−	0.291352i
$143$	−15.9236	+	4.26670i	−1.33159	+	0.356800i
$144$	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
$147$	−3.14626	−	1.44949i	−0.259500	−	0.119552i
$148$	0.776457	+	2.89778i	0.0638244	+	0.238196i
$149$	5.65685	+	9.79796i	0.463428	+	0.802680i	0.999129	−	0.0417274i	$-0.0132861\pi$
$149$	5.65685	+	9.79796i	0.463428	+	0.802680i	−0.535701	+	0.844407i	$0.679953\pi$
$150$	2.47493	−	8.29908i	0.202077	−	0.677617i
$151$	14.7279			1.19854			0.599271	−	0.800546i	$-0.295457\pi$
$151$	14.7279			1.19854			0.599271	+	0.800546i	$0.295457\pi$
$152$	−3.41542	−	2.70831i	−0.277027	−	0.219673i
$153$	−8.07107	−	16.8995i	−0.652507	−	1.36624i
$154$	−15.1427	+	8.74264i	−1.22023	+	0.704502i
$155$	1.00535	+	4.91289i	0.0807515	+	0.394613i
$156$	3.76733	+	3.13165i	0.301628	+	0.250733i
$157$	−1.59732	+	5.96128i	−0.127480	+	0.475762i	−0.999916	−	0.0129665i	$-0.995873\pi$
$157$	−1.59732	+	5.96128i	−0.127480	+	0.475762i	0.872436	+	0.488729i	$0.162539\pi$
$158$	−10.1280	+	2.71379i	−0.805741	+	0.215898i
$159$	−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
$162$	−3.65237	+	8.22558i	−0.286957	+	0.646263i
$163$	−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
$165$	5.14336	−	21.9796i	0.400410	−	1.71111i
$166$	2.12132	+	3.67423i	0.164646	+	0.285176i
$167$	1.68613	+	6.29273i	0.130477	+	0.486946i	0.999976	−	0.00698883i	$-0.00222463\pi$
$167$	1.68613	+	6.29273i	0.130477	+	0.486946i	−0.869499	+	0.493935i	$0.835558\pi$
$168$	4.71940	+	2.17423i	0.364109	+	0.167746i
$169$	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
$173$	3.61585	−	13.4945i	0.274908	−	1.02597i	−0.680995	−	0.732288i	$-0.738453\pi$
$173$	3.61585	−	13.4945i	0.274908	−	1.02597i	0.955903	−	0.293682i	$-0.0948807\pi$
$174$	−5.29618	−	14.3448i	−0.401502	−	1.08748i
$175$	13.9205	+	5.58750i	1.05229	+	0.422376i
$176$	5.04757	−	2.91421i	0.380475	−	0.219667i
$177$	9.75663	−	0.898979i	0.733353	−	0.0675714i
$178$	−4.36396	+	4.36396i	−0.327093	+	0.327093i
$179$	20.6569			1.54397			0.771983	−	0.635643i	$-0.219265\pi$
$179$	20.6569			1.54397			0.771983	+	0.635643i	$0.219265\pi$
$180$	−6.21561	+	2.52312i	−0.463285	+	0.188062i
$181$	1.24264	−	2.15232i	0.0923648	−	0.159980i	−0.816141	−	0.577853i	$-0.803891\pi$
$181$	1.24264	−	2.15232i	0.0923648	−	0.159980i	0.908506	+	0.417872i	$0.137224\pi$
$182$	−6.00000	+	6.00000i	−0.444750	+	0.444750i
$183$	6.24264	+	8.82843i	0.461469	+	0.652616i
$184$	2.59808	+	1.50000i	0.191533	+	0.110581i
$185$	3.69615	−	5.59808i	0.271747	−	0.411579i
$186$	2.48307	−	2.98709i	0.182067	−	0.219024i
$187$	9.41707	−	35.1450i	0.688645	−	2.57006i
$188$	2.71379	−	10.1280i	0.197924	−	0.738661i
$189$	−13.6066	−	7.60660i	−0.989735	−	0.553299i
$190$	0.535898	+	9.73205i	0.0388782	+	0.706037i
$191$			13.4142i			0.970618i	0.874343	+	0.485309i	$0.161293\pi$
$191$			13.4142i			0.970618i	−0.874343	+	0.485309i	$0.838707\pi$
$192$	−1.57313	−	0.724745i	−0.113531	−	0.0523040i
$193$	−11.5911	−	3.10583i	−0.834346	−	0.223562i	−0.183737	−	0.982975i	$-0.558820\pi$
$193$	−11.5911	−	3.10583i	−0.834346	−	0.223562i	−0.650609	+	0.759413i	$0.725486\pi$
$194$	1.24264	−	2.15232i	0.0892164	−	0.154527i
$195$	−0.349714	−	10.9489i	−0.0250435	−	0.784065i
$196$	−1.00000	+	1.73205i	−0.0714286	+	0.123718i
$197$	18.0208	−	18.0208i	1.28393	−	1.28393i	0.345518	−	0.938412i	$-0.387703\pi$
$197$	18.0208	−	18.0208i	1.28393	−	1.28393i	0.938412	−	0.345518i	$-0.112297\pi$
$198$	−15.7782	+	7.53553i	−1.12131	+	0.535527i
$199$	4.98602	+	2.87868i	0.353450	+	0.204064i	0.666204	−	0.745770i	$-0.267918\pi$
$199$	4.98602	+	2.87868i	0.353450	+	0.204064i	−0.312754	+	0.949834i	$0.601252\pi$
$200$	−4.64016	−	1.86250i	−0.328109	−	0.131699i
$201$	−1.65685	+	9.65685i	−0.116865	+	0.681142i
$202$	−3.75736	−	3.75736i	−0.264367	−	0.264367i
$203$	25.5828	−	6.85490i	1.79556	−	0.481119i
$204$	−10.1433	+	3.74496i	−0.710174	+	0.262200i
$205$	−4.45069	−	5.01910i	−0.310850	−	0.350549i
$206$	2.59808	−	1.50000i	0.181017	−	0.104510i
$207$	−7.41970	−	5.09393i	−0.515704	−	0.354053i
$208$	2.00000	−	2.00000i	0.138675	−	0.138675i
$209$	2.91421	+	25.2378i	0.201580	+	1.74574i
$210$	−3.36396	−	11.1213i	−0.232135	−	0.767444i
$211$	6.74264	+	11.6786i	0.464183	+	0.803988i	0.999164	−	0.0408759i	$-0.0130148\pi$
$211$	6.74264	+	11.6786i	0.464183	+	0.803988i	−0.534982	+	0.844864i	$0.679682\pi$
$212$	7.23023	+	1.93733i	0.496574	+	0.133057i
$213$	2.13177	+	23.1361i	0.146066	+	1.58526i
$214$	−7.34847	+	4.24264i	−0.502331	+	0.290021i
$215$	−0.568406	+	9.46979i	−0.0387650	+	0.645834i
$216$	4.53553	+	2.53553i	0.308604	+	0.172521i
$217$	4.75736	+	4.75736i	0.322951	+	0.322951i
$218$	6.02993	−	1.61571i	0.408398	−	0.109430i
$219$	−8.58900	+	10.3324i	−0.580391	+	0.698201i
$220$	−12.3640	−	4.12132i	−0.833578	−	0.277859i
$221$		−	17.6569i		−	1.18773i
$222$	−5.17423	+	0.476756i	−0.347272	+	0.0319978i
$223$	−0.497180	−	0.133219i	−0.0332936	−	0.00892100i	0.242134	−	0.970243i	$-0.422153\pi$
$223$	−0.497180	−	0.133219i	−0.0332936	−	0.00892100i	−0.275427	+	0.961322i	$0.588819\pi$
$224$	1.50000	−	2.59808i	0.100223	−	0.173591i
$225$	13.4425	+	6.65572i	0.896168	+	0.443714i
$226$	10.0000	+	17.3205i	0.665190	+	1.15214i
$227$	−7.75736	+	7.75736i	−0.514874	+	0.514874i	−0.916016	−	0.401142i	$-0.868613\pi$
$227$	−7.75736	+	7.75736i	−0.514874	+	0.514874i	0.401142	+	0.916016i	$0.368613\pi$
$228$	5.62372	−	5.03723i	0.372440	−	0.333599i
$229$		−	24.2426i		−	1.60200i	−0.598665	−	0.800999i	$-0.704302\pi$
$229$		−	24.2426i		−	1.60200i	0.598665	−	0.800999i	$-0.295698\pi$
$230$	−1.34486	−	6.57201i	−0.0886777	−	0.433346i
$231$	−10.4894	−	28.4109i	−0.690154	−	1.86930i
$232$	−8.52761	+	2.28497i	−0.559865	+	0.150015i
$233$	−1.67851	+	6.26430i	−0.109963	+	0.410388i	−0.998861	−	0.0477177i	$-0.984805\pi$
$233$	−1.67851	+	6.26430i	−0.109963	+	0.410388i	0.888898	+	0.458106i	$0.151472\pi$
$234$	−6.44949	+	5.51399i	−0.421616	+	0.360461i
$235$	−20.9706	+	10.4853i	−1.36797	+	0.683984i
$236$		−	5.65685i		−	0.368230i
$237$	−1.66631	−	18.0844i	−0.108238	−	1.17471i
$238$	−4.84714	−	18.0898i	−0.314194	−	1.17259i
$239$	23.3137			1.50804			0.754019	−	0.656852i	$-0.228113\pi$
$239$	23.3137			1.50804			0.754019	+	0.656852i	$0.228113\pi$
$240$	1.12132	+	3.70711i	0.0723809	+	0.239293i
$241$	−8.24264	+	14.2767i	−0.530955	+	0.919641i	0.468392	+	0.883521i	$0.344833\pi$
$241$	−8.24264	+	14.2767i	−0.530955	+	0.919641i	−0.999347	+	0.0361207i	$0.988500\pi$
$242$	−22.1879	−	5.94522i	−1.42629	−	0.382173i
$243$	−12.9722	−	8.64420i	−0.832167	−	0.554526i
$244$	5.40629	−	3.12132i	0.346102	−	0.199822i
$245$	4.38134	−	0.896575i	0.279914	−	0.0572801i
$246$	−0.878680	+	5.12132i	−0.0560226	+	0.326523i
$247$	4.53590	+	11.4641i	0.288612	+	0.729443i
$248$	−1.58579	−	1.58579i	−0.100698	−	0.100698i
$249$	−6.89363	+	2.54516i	−0.436866	+	0.161293i
$250$	3.76795	+	10.5263i	0.238306	+	0.665740i
$251$	−4.60181	−	2.65685i	−0.290463	−	0.167699i	0.347687	−	0.937611i	$-0.386967\pi$
$251$	−4.60181	−	2.65685i	−0.290463	−	0.167699i	−0.638151	+	0.769911i	$0.720300\pi$
$252$	−5.09393	+	7.41970i	−0.320887	+	0.467397i
$253$	−4.52552	−	16.8895i	−0.284517	−	1.06183i
$254$	8.65685			0.543179
$255$	21.3137	+	11.4142i	1.33472	+	0.714786i
$256$	−0.500000	+	0.866025i	−0.0312500	+	0.0541266i
$257$	−0.0628000	−	0.234373i	−0.00391736	−	0.0146198i	0.963939	−	0.266122i	$-0.0857422\pi$
$257$	−0.0628000	−	0.234373i	−0.00391736	−	0.0146198i	−0.967857	+	0.251502i	$0.919076\pi$
$258$	6.00000	−	4.24264i	0.373544	−	0.264135i
$259$		−	9.00000i		−	0.559233i
$260$	−6.31319	−	0.378937i	−0.391528	−	0.0235007i
$261$	26.0394	−	4.83964i	1.61180	−	0.299566i
$262$	−14.4889	+	3.88229i	−0.895126	+	0.239848i
$263$	4.00789	−	14.9576i	0.247137	−	0.922327i	−0.725161	−	0.688580i	$-0.758234\pi$
$263$	4.00789	−	14.9576i	0.247137	−	0.922327i	0.972297	−	0.233747i	$-0.0750989\pi$
$264$	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
$267$	−6.17157	−	8.72792i	−0.377694	−	0.534140i
$268$	5.46410	+	1.46410i	0.333773	+	0.0894342i
$269$	−12.5355	−	21.7122i	−0.764305	−	1.32382i	−0.940613	−	0.339480i	$-0.889749\pi$
$269$	−12.5355	−	21.7122i	−0.764305	−	1.32382i	0.176308	−	0.984335i	$-0.443584\pi$
$270$	−2.48672	−	11.3497i	−0.151337	−	0.690722i
$271$	1.00000	+	1.73205i	0.0607457	+	0.105215i	0.894799	−	0.446469i	$-0.147319\pi$
$271$	1.00000	+	1.73205i	0.0607457	+	0.105215i	−0.834053	+	0.551684i	$0.813985\pi$
$272$	1.61571	+	6.02993i	0.0979671	+	0.365618i
$273$	−8.48528	−	12.0000i	−0.513553	−	0.726273i
$274$			3.51472i			0.212332i
$275$	11.4476	+	26.7996i	0.690318	+	1.61607i
$276$	−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
$280$	−6.57201	+	1.34486i	−0.392753	+	0.0803709i
$281$	−10.2437	−	5.91421i	−0.611089	−	0.352812i	0.162303	−	0.986741i	$-0.448108\pi$
$281$	−10.2437	−	5.91421i	−0.611089	−	0.352812i	−0.773392	+	0.633929i	$0.781441\pi$
$282$	16.4947	+	7.59915i	0.982247	+	0.452523i
$283$	−0.331453	−	0.0888127i	−0.0197029	−	0.00527936i	0.248954	−	0.968515i	$-0.419913\pi$
$283$	−0.331453	−	0.0888127i	−0.0197029	−	0.00527936i	−0.268657	+	0.963236i	$0.586580\pi$
$284$	13.4142			0.795987
$285$	−16.7706	−	1.93562i	−0.993405	−	0.114656i
$286$	−16.4853			−0.974795
$287$	−8.69333	−	2.32937i	−0.513151	−	0.137498i
$288$	1.69798	−	2.47323i	0.100054	−	0.145737i
$289$	19.0271	+	10.9853i	1.11924	+	0.646193i
$290$	16.4741	+	10.8771i	0.967391	+	0.638724i
$291$	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	0.523044	−	0.852305i	$-0.324796\pi$
$293$	−5.63604	−	5.63604i	−0.329261	−	0.329261i	−0.852305	+	0.523044i	$0.824796\pi$
$294$	−2.66390	−	2.21441i	−0.155362	−	0.129147i
$295$	−9.46410	+	8.39230i	−0.551021	+	0.488619i
$296$			3.00000i			0.174371i
$297$	−8.24264	−	29.1421i	−0.478287	−	1.69100i
$298$	2.92820	+	10.9282i	0.169626	+	0.633054i
$299$	−4.24264	−	7.34847i	−0.245358	−	0.424973i
$300$	4.53856	−	7.37574i	0.262034	−	0.425838i
$301$	6.36396	+	11.0227i	0.366813	+	0.635338i
$302$	14.2261	+	3.81187i	0.818619	+	0.219348i
$303$	7.51472	−	5.31371i	0.431709	−	0.305265i
$304$	−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
$307$	−2.10734	+	7.86470i	−0.120272	+	0.448862i	−0.999627	−	0.0273048i	$-0.991308\pi$
$307$	−2.10734	+	7.86470i	−0.120272	+	0.448862i	0.879355	+	0.476167i	$0.157974\pi$
$308$	−16.8895	+	4.52552i	−0.962368	+	0.257866i
$309$	1.79970	+	4.87453i	0.102381	+	0.277303i
$310$	−0.300457	+	5.00569i	−0.0170648	+	0.284304i
$311$		−	8.48528i		−	0.481156i	−0.970630	−	0.240578i	$-0.922663\pi$
$311$		−	8.48528i		−	0.481156i	0.970630	−	0.240578i	$-0.0773370\pi$
$312$	2.82843	+	4.00000i	0.160128	+	0.226455i
$313$	2.47337	+	9.23072i	0.139803	+	0.521751i	0.999932	+	0.0116748i	$0.00371629\pi$
$313$	2.47337	+	9.23072i	0.139803	+	0.521751i	−0.860129	+	0.510077i	$0.829617\pi$
$314$	−3.08579	+	5.34474i	−0.174141	+	0.301621i
$315$	19.9706	−	2.48528i	1.12521	−	0.140030i
$316$	−10.4853			−0.589843
$317$	−5.81200	−	21.6907i	−0.326434	−	1.21827i	−0.912862	−	0.408268i	$-0.866133\pi$
$317$	−5.81200	−	21.6907i	−0.326434	−	1.21827i	0.586428	−	0.810002i	$-0.300534\pi$
$318$	−5.42492	+	11.7753i	−0.304214	+	0.660328i
$319$	44.5621	+	25.7279i	2.49500	+	1.44049i
$320$	2.19067	−	0.448288i	0.122462	−	0.0250600i
$321$	−5.09032	−	13.7873i	−0.284114	−	0.769530i
$322$	−6.36396	−	6.36396i	−0.354650	−	0.354650i
$323$	−26.9182	−	3.98128i	−1.49777	−	0.221525i
$324$	−5.65685	+	7.00000i	−0.314270	+	0.388889i
$325$	8.73205	+	11.1244i	0.484367	+	0.617068i
$326$	−7.05130	+	4.07107i	−0.390535	+	0.225476i
$327$	0.992072	+	10.7670i	0.0548617	+	0.595414i
$328$	2.89778	+	0.776457i	0.160003	+	0.0428727i
$329$	−15.7279	+	27.2416i	−0.867108	+	1.50188i
$330$	10.6569	−	19.8995i	0.586641	−	1.09543i
$331$	−29.4853			−1.62066			−0.810329	−	0.585975i	$-0.800712\pi$
$331$	−29.4853			−1.62066			−0.810329	+	0.585975i	$0.800712\pi$
$332$	1.09808	+	4.09808i	0.0602648	+	0.224911i
$333$	0.701625	−	8.97261i	0.0384488	−	0.491696i
$334$			6.51472i			0.356470i
$335$	−5.65685	−	11.3137i	−0.309067	−	0.618134i
$336$	3.99585	+	3.32162i	0.217992	+	0.181209i
$337$	3.74907	−	13.9917i	0.204225	−	0.762177i	−0.785460	−	0.618913i	$-0.787573\pi$
$337$	3.74907	−	13.9917i	0.204225	−	0.762177i	0.989684	−	0.143264i	$-0.0457599\pi$
$338$	4.82963	−	1.29410i	0.262697	−	0.0703895i
$339$	−32.4969	+	11.9980i	−1.76499	+	0.651642i
$340$	7.69125	−	11.6489i	0.417117	−	0.631752i
$341$			13.0711i			0.707838i
$342$	6.95195	+	11.0757i	0.375918	+	0.598904i
$343$	−10.6066	+	10.6066i	−0.572703	+	0.572703i
$344$	−2.12132	−	3.67423i	−0.114374	−	0.198101i
$345$	11.6130	−	0.370927i	0.625224	−	0.0199701i
$346$	6.98528	−	12.0989i	0.375531	−	0.650439i
$347$	22.1879	+	5.94522i	1.19111	+	0.319156i	0.799323	−	0.600901i	$-0.205192\pi$
$347$	22.1879	+	5.94522i	1.19111	+	0.319156i	0.391784	+	0.920057i	$0.371858\pi$
$348$	−1.40300	−	15.2268i	−0.0752088	−	0.816241i
$349$		−	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
$352$	5.62983	−	1.50851i	0.300071	−	0.0804037i
$353$	20.4853	+	20.4853i	1.09032	+	1.09032i	0.995494	+	0.0948278i	$0.0302301\pi$
$353$	20.4853	+	20.4853i	1.09032	+	1.09032i	0.0948278	+	0.995494i	$0.469770\pi$
$354$	9.65685	+	1.65685i	0.513256	+	0.0880608i
$355$	−19.9008	−	22.4424i	−1.05623	−	1.19112i
$356$	−5.34474	+	3.08579i	−0.283271	+	0.163546i
$357$	32.3009	−	2.97622i	1.70954	−	0.157518i
$358$	19.9530	+	5.34639i	1.05455	+	0.282565i
$359$	−16.6066	−	28.7635i	−0.876463	−	1.51808i	−0.855196	−	0.518304i	$-0.826563\pi$
$359$	−16.6066	−	28.7635i	−0.876463	−	1.51808i	−0.0212668	−	0.999774i	$-0.506770\pi$
$360$	−6.65685	+	0.828427i	−0.350847	+	0.0436619i
$361$	18.5000	−	4.33013i	0.973684	−	0.227901i
$362$	1.75736	−	1.75736i	0.0923648	−	0.0923648i
$363$	16.6478	−	36.1357i	0.873783	−	1.89663i
$364$	−7.34847	+	4.24264i	−0.385164	+	0.222375i
$365$	1.03929	−	17.3148i	0.0543989	−	0.906299i
$366$	3.74496	+	10.1433i	0.195752	+	0.530200i
$367$	5.79555	−	1.55291i	0.302526	−	0.0810615i	−0.104363	−	0.994539i	$-0.533280\pi$
$367$	5.79555	−	1.55291i	0.302526	−	0.0810615i	0.406889	+	0.913478i	$0.366614\pi$
$368$	2.12132	+	2.12132i	0.110581	+	0.110581i
$369$	−8.48528	−	3.00000i	−0.441726	−	0.156174i
$370$	5.01910	−	4.45069i	0.260930	−	0.231380i
$371$	−19.4473	−	11.2279i	−1.00966	−	0.582925i
$372$	3.17157	−	2.24264i	0.164438	−	0.116276i
$373$	−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
$375$	−19.0731	+	3.34922i	−0.984930	+	0.172953i
$376$	5.24264	−	9.08052i	0.270369	−	0.468292i
$377$	24.1197	+	6.46286i	1.24223	+	0.332854i
$378$	−11.1742	−	10.8691i	−0.574741	−	0.559044i
$379$			5.51472i			0.283272i	0.989919	+	0.141636i	$0.0452363\pi$
$379$			5.51472i			0.283272i	−0.989919	+	0.141636i	$0.954764\pi$
$380$	−2.00120	+	9.53914i	−0.102659	+	0.489348i
$381$	−2.53553	+	14.7782i	−0.129899	+	0.757109i
$382$	−3.47185	+	12.9571i	−0.177636	+	0.662945i
$383$	3.49787	−	13.0542i	0.178733	−	0.667039i	−0.817153	−	0.576421i	$-0.804449\pi$
$383$	3.49787	−	13.0542i	0.178733	−	0.667039i	0.995886	−	0.0906185i	$-0.0288844\pi$
$384$	−1.33195	−	1.10721i	−0.0679709	−	0.0565019i
$385$	32.6280	+	21.5428i	1.66288	+	1.09792i
$386$	−10.3923	−	6.00000i	−0.528954	−	0.305392i
$387$	5.48528	+	11.4853i	0.278833	+	0.583830i
$388$	1.75736	−	1.75736i	0.0892164	−	0.0892164i
$389$	9.53553	−	16.5160i	0.483471	−	0.837396i	−0.516349	−	0.856378i	$-0.672709\pi$
$389$	9.53553	−	16.5160i	0.483471	−	0.837396i	0.999820	+	0.0189823i	$0.00604261\pi$
$390$	2.49598	−	10.6663i	0.126389	−	0.540109i
$391$	18.7279			0.947112
$392$	−1.41421	+	1.41421i	−0.0714286	+	0.0714286i
$393$	−2.38378	−	25.8712i	−0.120246	−	1.30503i
$394$	22.0709	−	12.7426i	1.11192	−	0.641965i
$395$	15.5556	+	17.5422i	0.782686	+	0.882645i
$396$	−17.1909	+	3.19507i	−0.863875	+	0.160559i
$397$	−6.72168	+	25.0856i	−0.337351	+	1.25901i	0.563946	+	0.825811i	$0.309282\pi$
$397$	−6.72168	+	25.0856i	−0.337351	+	1.25901i	−0.901298	+	0.433201i	$0.857384\pi$
$398$	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	−0.711879	−	0.702302i	$-0.752155\pi$
$401$	−9.20361	+	5.31371i	−0.459607	+	0.265354i	0.252272	+	0.967656i	$0.418822\pi$
$402$	−4.09978	+	8.89898i	−0.204478	+	0.443841i
$403$	1.64173	+	6.12701i	0.0817802	+	0.305208i
$404$	−2.65685	−	4.60181i	−0.132183	−	0.228948i
$405$	20.1035	−	0.920846i	0.998953	−	0.0457572i
$406$	26.4853			1.31444
$407$	12.3640	−	12.3640i	0.612859	−	0.612859i
$408$	−10.7670	+	0.992072i	−0.533044	+	0.0491149i
$409$	22.9114	+	13.2279i	1.13290	+	0.654079i	0.944662	−	0.328045i	$-0.106390\pi$
$409$	22.9114	+	13.2279i	1.13290	+	0.654079i	0.188235	+	0.982124i	$0.439723\pi$
$410$	−3.00000	−	6.00000i	−0.148159	−	0.296319i
$411$	−6.00000	−	1.02944i	−0.295958	−	0.0507784i
$412$	2.89778	−	0.776457i	0.142763	−	0.0382533i
$413$	−4.39230	+	16.3923i	−0.216131	+	0.806613i
$414$	−5.84847	−	6.84072i	−0.287437	−	0.336203i
$415$	5.22715	−	7.91688i	0.256591	−	0.388624i
$416$	2.44949	−	1.41421i	0.120096	−	0.0693375i
$417$	19.7990	−	14.0000i	0.969561	−	0.685583i
$418$	−3.71712	+	25.1321i	−0.181810	+	1.22925i
$419$	−24.1716			−1.18086			−0.590429	−	0.807089i	$-0.701042\pi$
$419$	−24.1716			−1.18086			−0.590429	+	0.807089i	$0.701042\pi$
$420$	−0.370927	−	11.6130i	−0.0180994	−	0.566658i
$421$	−6.48528	−	11.2328i	−0.316073	−	0.547455i	0.663592	−	0.748095i	$-0.269031\pi$
$421$	−6.48528	−	11.2328i	−0.316073	−	0.547455i	−0.979665	+	0.200640i	$0.935698\pi$
$422$	3.49025	+	13.0258i	0.169903	+	0.634085i
$423$	−17.8038	+	25.9325i	−0.865649	+	1.26088i
$424$	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
$427$	−18.0898	+	4.84714i	−0.875426	+	0.234570i
$428$	−8.19615	+	2.19615i	−0.396176	+	0.106155i
$429$	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	0.717056	−	0.697015i	$-0.245489\pi$
$431$	9.79796	+	5.65685i	0.471951	+	0.272481i	−0.245105	+	0.969497i	$0.578822\pi$
$432$	3.72474	+	3.62302i	0.179207	+	0.174313i
$433$	−6.85490	−	25.5828i	−0.329425	−	1.22943i	−0.909788	−	0.415074i	$-0.863756\pi$
$433$	−6.85490	−	25.5828i	−0.329425	−	1.22943i	0.580363	−	0.814358i	$-0.302911\pi$
$434$	3.36396	+	5.82655i	0.161475	+	0.279683i
$435$	−23.3935	+	24.9372i	−1.12163	+	1.19565i
$436$	6.24264			0.298968
$437$	−12.1595	+	4.81105i	−0.581669	+	0.230144i
$438$	−10.9706	+	7.75736i	−0.524194	+	0.370661i
$439$	−18.5813	+	10.7279i	−0.886837	+	0.512016i	−0.872907	−	0.487887i	$-0.837768\pi$
$439$	−18.5813	+	10.7279i	−0.886837	+	0.512016i	−0.0139307	+	0.999903i	$0.504434\pi$
$440$	−10.8760	−	7.18092i	−0.518493	−	0.342337i
$441$	4.56048	−	3.89898i	0.217166	−	0.185666i
$442$	4.56993	−	17.0552i	0.217369	−	0.811234i
$443$	24.8797	−	6.66650i	1.18207	−	0.316735i	0.386323	−	0.922364i	$-0.373745\pi$
$443$	24.8797	−	6.66650i	1.18207	−	0.316735i	0.795747	+	0.605629i	$0.207078\pi$
$444$	−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
$447$	−19.5133	+	1.79796i	−0.922946	+	0.0850405i
$448$	2.12132	−	2.12132i	0.100223	−	0.100223i
$449$	−12.1716			−0.574412			−0.287206	−	0.957869i	$-0.592726\pi$
$449$	−12.1716			−0.574412			−0.287206	+	0.957869i	$0.592726\pi$
$450$	11.2619	+	9.90811i	0.530889	+	0.467073i
$451$	−8.74264	−	15.1427i	−0.411675	−	0.713042i
$452$	5.17638	+	19.3185i	0.243476	+	0.908667i
$453$	−10.6740	+	23.1690i	−0.501508	+	1.08857i
$454$	−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	$0.654107\pi$
$458$	6.27446	−	23.4166i	0.293186	−	1.09419i
$459$	32.4346	−	0.449034i	1.51392	−	0.0209591i
$460$	0.401924	−	6.69615i	0.0187398	−	0.312210i
$461$	32.1405	−	18.5563i	1.49693	−	0.864255i	0.496940	−	0.867785i	$-0.334457\pi$
$461$	32.1405	−	18.5563i	1.49693	−	0.864255i	0.999994	+	0.00352933i	$0.00112342\pi$
$462$	−2.77874	−	30.1576i	−0.129279	−	1.40306i
$463$	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
$465$	−8.45724	−	1.97904i	−0.392195	−	0.0917760i
$466$	−3.24264	+	5.61642i	−0.150212	+	0.260176i
$467$	10.2426	−	10.2426i	0.473973	−	0.473973i	−0.429225	−	0.903198i	$-0.641213\pi$
$467$	10.2426	−	10.2426i	0.473973	−	0.473973i	0.903198	+	0.429225i	$0.141213\pi$
$468$	−7.65685	+	3.65685i	−0.353938	+	0.169038i
$469$	−14.6969	−	8.48528i	−0.678642	−	0.391814i
$470$	−22.9698	+	4.70042i	−1.05952	+	0.216814i
$471$	−8.22023	−	6.83320i	−0.378768	−	0.314857i
$472$	1.46410	−	5.46410i	0.0673907	−	0.251506i
$473$	−6.40006	+	23.8853i	−0.294275	+	1.09825i
$474$	3.07107	−	17.8995i	0.141059	−	0.822151i
$475$	18.9282	−	10.8038i	0.868486	−	0.495715i
$476$		−	18.7279i		−	0.858393i
$477$	−18.5128	−	12.7098i	−0.847645	−	0.581943i
$478$	22.5193	+	6.03403i	1.03001	+	0.275990i
$479$	3.19239	−	5.52938i	0.145864	−	0.252644i	−0.783831	−	0.620974i	$-0.786737\pi$
$479$	3.19239	−	5.52938i	0.145864	−	0.252644i	0.929695	+	0.368330i	$0.120070\pi$
$480$	0.123642	+	3.87101i	0.00564348	+	0.176687i
$481$	4.24264	−	7.34847i	0.193448	−	0.335061i
$482$	−11.6569	+	11.6569i	−0.530955	+	0.530955i
$483$	12.7279	−	9.00000i	0.579141	−	0.409514i
$484$	−19.8931	−	11.4853i	−0.904231	−	0.522058i
$485$	−5.54727	−	0.332965i	−0.251889	−	0.0151191i
$486$	−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	$0.715321\pi$
$488$	6.02993	−	1.61571i	0.272962	−	0.0731399i
$489$	−4.88447	−	13.2297i	−0.220883	−	0.598268i
$490$	4.46410	+	0.267949i	0.201668	+	0.0121047i
$491$	−30.4340	+	17.5711i	−1.37347	+	0.792971i	−0.991363	−	0.131148i	$-0.958134\pi$
$491$	−30.4340	+	17.5711i	−1.37347	+	0.792971i	−0.382104	+	0.924119i	$0.624800\pi$
$492$	−2.17423	+	4.71940i	−0.0980221	+	0.212767i
$493$	−38.9706	+	38.9706i	−1.75515	+	1.75515i
$494$	1.41421	+	12.2474i	0.0636285	+	0.551039i
$495$	30.8492	+	24.0208i	1.38657	+	1.07966i
$496$	−1.12132	−	1.94218i	−0.0503488	−	0.0872066i
$497$	−38.8714	−	10.4156i	−1.74362	−	0.467202i
$498$	−7.31747	+	0.674235i	−0.327904	+	0.0302132i
$499$	3.48960	−	2.01472i	0.156216	−	0.0901912i	−0.419854	−	0.907591i	$-0.637919\pi$
$499$	3.48960	−	2.01472i	0.156216	−	0.0901912i	0.576070	+	0.817400i	$0.304586\pi$
$500$	0.915158	+	11.1428i	0.0409271	+	0.498322i
$501$	−11.1213	−	1.90812i	−0.496864	−	0.0852484i
$502$	−3.75736	−	3.75736i	−0.167699	−	0.167699i
$503$	15.4264	−	4.13349i	0.687828	−	0.184303i	0.102056	−	0.994779i	$-0.467458\pi$
$503$	15.4264	−	4.13349i	0.687828	−	0.184303i	0.585772	+	0.810476i	$0.300791\pi$
$504$	−6.84072	+	5.84847i	−0.304710	+	0.260512i
$505$	−3.75736	+	11.2721i	−0.167200	+	0.501601i
$506$		−	17.4853i		−	0.777316i
$507$	0.794593	+	8.62372i	0.0352891	+	0.382993i
$508$	8.36188	+	2.24056i	0.370998	+	0.0994087i
$509$	−6.36396	+	11.0227i	−0.282078	+	0.488573i	−0.971896	−	0.235409i	$-0.924357\pi$
$509$	−6.36396	+	11.0227i	−0.282078	+	0.488573i	0.689819	+	0.723982i	$0.257690\pi$
$510$	17.6332	+	16.5417i	0.780813	+	0.732478i
$511$	−11.6360	−	20.1542i	−0.514748	−	0.891570i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	−20.9435	+	8.62372i	−0.924679	+	0.380747i
$514$		−	0.242641i		−	0.0107024i
$515$	−5.59808	−	3.69615i	−0.246681	−	0.162872i
$516$	6.89363	−	2.54516i	0.303475	−	0.112045i
$517$	−59.0303	+	15.8171i	−2.59615	+	0.695637i
$518$	2.32937	−	8.69333i	0.102347	−	0.381963i
$519$	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	$0.0896378\pi$
$521$			12.6863i			0.555797i	−0.960611	+	0.277898i	$0.910362\pi$
$522$	26.4047	+	2.06475i	1.15570	+	0.0903716i
$523$	3.19464	+	11.9226i	0.139692	+	0.521337i	0.999934	+	0.0114522i	$0.00364543\pi$
$523$	3.19464	+	11.9226i	0.139692	+	0.521337i	−0.860243	+	0.509885i	$0.829688\pi$
$524$	−15.0000			−0.655278
$525$	−18.8787	+	17.8492i	−0.823933	+	0.779005i
$526$	7.74264	−	13.4106i	0.337595	−	0.584732i
$527$	−13.5230	−	3.62347i	−0.589069	−	0.157841i
$528$	0.926246	+	10.0525i	0.0403097	+	0.437481i
$529$	−12.1244	+	7.00000i	−0.527146	+	0.304348i
$530$	−3.35556	−	16.3978i	−0.145756	−	0.712274i
$531$	−5.65685	+	16.0000i	−0.245487	+	0.694341i
$532$	4.81105	+	12.1595i	0.208585	+	0.527182i
$533$	−6.00000	−	6.00000i	−0.259889	−	0.259889i
$534$	−3.70233	−	10.0278i	−0.160215	−	0.433947i
$535$	15.8338	+	10.4543i	0.684553	+	0.451979i
$536$	4.89898	+	2.82843i	0.211604	+	0.122169i
$537$	−14.9709	+	32.4960i	−0.646044	+	1.40230i
$538$	−6.48887	−	24.2168i	−0.279755	−	1.04406i
$539$	11.6569			0.502096
$540$	0.535534	−	11.6066i	0.0230457	−	0.499469i
$541$	−13.3640	+	23.1471i	−0.574562	+	0.995170i	0.421528	+	0.906816i	$0.361494\pi$
$541$	−13.3640	+	23.1471i	−0.574562	+	0.995170i	−0.996089	+	0.0883542i	$0.971839\pi$
$542$	0.517638	+	1.93185i	0.0222345	+	0.0829801i
$543$	2.48528	+	3.51472i	0.106654	+	0.150831i
$544$			6.24264i			0.267651i
$545$	−9.26136	−	10.4441i	−0.396713	−	0.447378i
$546$	−5.09032	−	13.7873i	−0.217846	−	0.590040i
$547$	−30.3840	+	8.14137i	−1.29913	+	0.348100i	−0.841120	−	0.540849i	$-0.818103\pi$
$547$	−30.3840	+	8.14137i	−1.29913	+	0.348100i	−0.458007	+	0.888949i	$0.651436\pi$
$548$	−0.909676	+	3.39496i	−0.0388594	+	0.145025i
$549$	−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
$552$	−4.24264	+	3.00000i	−0.180579	+	0.127688i
$553$	30.3840	+	8.14137i	1.29206	+	0.346206i
$554$	2.48528	+	4.30463i	0.105589	+	0.182886i
$555$	6.12775	+	9.87171i	0.260108	+	0.419031i
$556$	−7.00000	−	12.1244i	−0.296866	−	0.514187i
$557$	5.16876	+	19.2901i	0.219007	+	0.817347i	0.984717	+	0.174161i	$0.0557212\pi$
$557$	5.16876	+	19.2901i	0.219007	+	0.817347i	−0.765710	+	0.643186i	$0.777612\pi$
$558$	2.89949	+	6.07107i	0.122745	+	0.257009i
$559$			12.0000i			0.507546i
$560$	−6.69615	−	0.401924i	−0.282964	−	0.0169844i
$561$	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	$0.183598\pi$
$563$	32.8284	+	32.8284i	1.38355	+	1.38355i	0.545335	+	0.838218i	$0.316402\pi$
$564$	13.9659	+	11.6094i	0.588070	+	0.488843i
$565$	24.6410	−	37.3205i	1.03666	−	1.57009i
$566$	−0.297173	−	0.171573i	−0.0124911	−	0.00721175i
$567$	21.8275	−	15.8921i	0.916669	−	0.667407i
$568$	12.9571	+	3.47185i	0.543669	+	0.145676i
$569$	28.7990			1.20732			0.603658	−	0.797243i	$-0.293709\pi$
$569$	28.7990			1.20732			0.603658	+	0.797243i	$0.293709\pi$
$570$	−15.6982	−	6.21021i	−0.657525	−	0.260117i
$571$	6.48528			0.271401			0.135700	−	0.990750i	$-0.456672\pi$
$571$	6.48528			0.271401			0.135700	+	0.990750i	$0.456672\pi$
$572$	−15.9236	−	4.26670i	−0.665797	−	0.178400i
$573$	−21.1023	−	9.72188i	−0.881563	−	0.406137i
$574$	−7.79423	−	4.50000i	−0.325325	−	0.187826i
$575$	−11.7992	+	9.26174i	−0.492059	+	0.386241i
$576$	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
$580$	13.0975	+	14.7702i	0.543846	+	0.613301i
$581$		−	12.7279i		−	0.528043i
$582$	2.48528	+	3.51472i	0.103018	+	0.145690i
$583$	−11.2916	−	42.1408i	−0.467651	−	1.74530i
$584$	3.87868	+	6.71807i	0.160501	+	0.277996i
$585$	17.4775	+	7.38499i	0.722604	+	0.305332i
$586$	−3.98528	−	6.90271i	−0.164630	−	0.285148i
$587$	−6.78991	−	1.81935i	−0.280250	−	0.0750927i	0.115956	−	0.993254i	$-0.463007\pi$
$587$	−6.78991	−	1.81935i	−0.280250	−	0.0750927i	−0.396206	+	0.918162i	$0.629673\pi$
$588$	−2.00000	−	2.82843i	−0.0824786	−	0.116642i
$589$	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
$592$	−0.776457	+	2.89778i	−0.0319122	+	0.119098i
$593$	−20.7816	+	5.56842i	−0.853399	+	0.228668i	−0.658896	−	0.752234i	$-0.728976\pi$
$593$	−20.7816	+	5.56842i	−0.853399	+	0.228668i	−0.194503	+	0.980902i	$0.562309\pi$
$594$	−0.419240	−	30.2825i	−0.0172016	−	1.24251i
$595$	−31.3324	+	27.7841i	−1.28450	+	1.13904i
$596$			11.3137i			0.463428i
$597$	−8.14214	+	5.75736i	−0.333235	+	0.235633i
$598$	−2.19615	−	8.19615i	−0.0898074	−	0.335166i
$599$	−17.8492	+	30.9158i	−0.729300	+	1.26319i	0.227879	+	0.973689i	$0.426821\pi$
$599$	−17.8492	+	30.9158i	−0.729300	+	1.26319i	−0.957179	+	0.289496i	$0.906512\pi$
$600$	6.29289	−	5.94975i	0.256906	−	0.242897i
$601$	23.0000			0.938190			0.469095	−	0.883148i	$-0.344580\pi$
$601$	23.0000			0.938190			0.469095	+	0.883148i	$0.344580\pi$
$602$	3.29423	+	12.2942i	0.134263	+	0.501075i
$603$	−13.9907	−	9.60521i	−0.569746	−	0.391154i
$604$	12.7548	+	7.36396i	0.518984	+	0.299635i
$605$	10.2974	+	50.3209i	0.418650	+	2.04584i
$606$	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	$0.672836\pi$
$608$	−1.60368	−	4.05317i	−0.0650379	−	0.164378i
$609$	−7.75736	+	45.2132i	−0.314344	+	1.83213i
$610$	−11.6489	−	7.69125i	−0.471651	−	0.311410i
$611$	−25.6836	+	14.8284i	−1.03905	+	0.599894i
$612$	1.46000	−	18.6709i	0.0590169	−	0.754727i
$613$	−27.8177	−	7.45373i	−1.12355	−	0.301053i	−0.351228	−	0.936290i	$-0.614236\pi$
$613$	−27.8177	−	7.45373i	−1.12355	−	0.301053i	−0.772318	+	0.635237i	$0.780903\pi$
$614$	−4.07107	+	7.05130i	−0.164295	+	0.284567i
$615$	11.1213	−	3.36396i	0.448455	−	0.135648i
$616$	−17.4853			−0.704502
$617$	11.4356	+	42.6782i	0.460380	+	1.71816i	0.671770	+	0.740760i	$0.265534\pi$
$617$	11.4356	+	42.6782i	0.460380	+	1.71816i	−0.211390	+	0.977402i	$0.567799\pi$
$618$	0.476756	+	5.17423i	0.0191779	+	0.208138i
$619$		−	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
$622$	2.19615	−	8.19615i	0.0880577	−	0.328636i
$623$	17.8838	−	4.79196i	0.716501	−	0.191986i
$624$	1.69677	+	4.59575i	0.0679253	+	0.183977i
$625$	17.2846	−	18.0622i	0.691384	−	0.722487i
$626$			9.55635i			0.381949i
$627$	−41.8145	−	13.7065i	−1.66991	−	0.547387i
$628$	−4.36396	+	4.36396i	−0.174141	+	0.174141i
$629$	9.36396	+	16.2189i	0.373366	+	0.646688i
$630$	19.9333	+	2.76816i	0.794162	+	0.110286i
$631$	−4.12132	+	7.13834i	−0.164067	+	0.284173i	−0.936324	−	0.351138i	$-0.885795\pi$
$631$	−4.12132	+	7.13834i	−0.164067	+	0.284173i	0.772256	+	0.635311i	$0.219128\pi$
$632$	−10.1280	−	2.71379i	−0.402870	−	0.107949i
$633$	−23.2587	+	2.14306i	−0.924449	+	0.0851791i
$634$		−	22.4558i		−	0.891836i
$635$	−8.65685	−	17.3137i	−0.343537	−	0.687074i
$636$	−8.28775	+	9.97003i	−0.328631	+	0.395337i
$637$	5.46410	−	1.46410i	0.216496	−	0.0580098i
$638$	36.3848	+	36.3848i	1.44049	+	1.44049i
$639$	−37.9411	−	13.4142i	−1.50093	−	0.530658i
$640$	2.23205	+	0.133975i	0.0882296	+	0.00529581i
$641$	5.49333	−	3.17157i	0.216973	−	0.125270i	−0.387575	−	0.921838i	$-0.626687\pi$
$641$	5.49333	−	3.17157i	0.216973	−	0.125270i	0.604548	+	0.796569i	$0.293354\pi$
$642$	−1.34847	−	14.6349i	−0.0532198	−	0.577595i
$643$	−18.7527	−	5.02477i	−0.739534	−	0.198158i	−0.130663	−	0.991427i	$-0.541711\pi$
$643$	−18.7527	−	5.02477i	−0.739534	−	0.198158i	−0.608871	+	0.793269i	$0.708377\pi$
$644$	−4.50000	−	7.79423i	−0.177325	−	0.307136i
$645$	−14.4853	−	7.75736i	−0.570357	−	0.305446i
$646$	−24.9706	−	10.8126i	−0.982454	−	0.425415i
$647$	11.2929	−	11.2929i	0.443969	−	0.443969i	−0.449374	−	0.893344i	$-0.648353\pi$
$647$	11.2929	−	11.2929i	0.443969	−	0.443969i	0.893344	+	0.449374i	$0.148353\pi$
$648$	−7.27583	+	5.29738i	−0.285822	+	0.208101i
$649$	−28.5533	+	16.4853i	−1.12082	+	0.647104i
$650$	5.55532	+	13.0053i	0.217898	+	0.510111i
$651$	−10.9318	+	4.03608i	−0.428452	+	0.158187i
$652$	−7.86470	+	2.10734i	−0.308005	+	0.0825298i
$653$	−14.8492	−	14.8492i	−0.581096	−	0.581096i	0.354109	−	0.935204i	$-0.384784\pi$
$653$	−14.8492	−	14.8492i	−0.581096	−	0.581096i	−0.935204	+	0.354109i	$0.884784\pi$
$654$	−1.82843	+	10.6569i	−0.0714972	+	0.416716i
$655$	22.2535	+	25.0955i	0.869515	+	0.980562i
$656$	2.59808	+	1.50000i	0.101438	+	0.0585652i
$657$	−10.0294	−	21.0000i	−0.391286	−	0.819288i
$658$	−22.2426	+	22.2426i	−0.867108	+	0.867108i
$659$	22.7132	−	39.3404i	0.884781	−	1.53249i	0.0388161	−	0.999246i	$-0.487641\pi$
$659$	22.7132	−	39.3404i	0.884781	−	1.53249i	0.845965	−	0.533239i	$-0.179025\pi$
$660$	15.4441	−	16.4632i	0.601161	−	0.640831i
$661$	−7.12132	+	12.3345i	−0.276987	+	0.479756i	−0.970635	−	0.240559i	$-0.922669\pi$
$661$	−7.12132	+	12.3345i	−0.276987	+	0.479756i	0.693647	+	0.720315i	$0.256003\pi$
$662$	−28.4806	−	7.63135i	−1.10693	−	0.296601i
$663$	27.7766	+	12.7967i	1.07875	+	0.496983i
$664$			4.24264i			0.164646i
$665$	13.2058	−	26.0885i	0.512098	−	1.01167i
$666$	3.00000	−	8.48528i	0.116248	−	0.328798i
$667$	−6.85490	+	25.5828i	−0.265423	+	0.990571i
$668$	−1.68613	+	6.29273i	−0.0652385	+	0.243473i
$669$	0.569900	−	0.685580i	0.0220336	−	0.0265061i
$670$	−2.53590	−	12.3923i	−0.0979703	−	0.478757i
$671$	−31.5101	−	18.1924i	−1.21644	−	0.702309i
$672$	3.00000	+	4.24264i	0.115728	+	0.163663i
$673$	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
$675$	−20.2127	+	16.3232i	−0.777988	+	0.628279i
$676$	5.00000			0.192308
$677$	−13.3934	+	13.3934i	−0.514750	+	0.514750i	−0.915978	−	0.401228i	$-0.868583\pi$
$677$	−13.3934	+	13.3934i	−0.514750	+	0.514750i	0.401228	+	0.915978i	$0.368583\pi$
$678$	−34.4949	+	3.17837i	−1.32477	+	0.122065i
$679$	−6.45695	+	3.72792i	−0.247795	+	0.143065i
$680$	10.4441	−	9.26136i	0.400515	−	0.355157i
$681$	−6.58125	−	17.8255i	−0.252194	−	0.683073i
$682$	−3.38304	+	12.6257i	−0.129543	+	0.483462i
$683$	−18.8995	−	18.8995i	−0.723169	−	0.723169i	0.246080	−	0.969249i	$-0.420857\pi$
$683$	−18.8995	−	18.8995i	−0.723169	−	0.723169i	−0.969249	+	0.246080i	$0.920857\pi$
$684$	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
$687$	38.1369	+	17.5697i	1.45501	+	0.670327i
$688$	−1.09808	−	4.09808i	−0.0418638	−	0.156238i
$689$	−10.5858	−	18.3351i	−0.403286	−	0.698512i
$690$	11.3133	+	2.64738i	0.430691	+	0.100784i
$691$	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
$693$	52.2962	+	4.08937i	1.98657	+	0.155342i
$694$	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
$697$	18.0898	−	4.84714i	0.685199	−	0.183599i
$698$	3.56067	−	13.2886i	0.134773	−	0.502980i
$699$	−8.63808	−	7.18054i	−0.326722	−	0.271593i
$700$	9.26174	+	11.7992i	0.350061	+	0.445966i
$701$	7.97887	−	4.60660i	0.301358	−	0.173989i	−0.341695	−	0.939811i	$-0.611001\pi$
$701$	7.97887	−	4.60660i	0.301358	−	0.173989i	0.643053	+	0.765822i	$0.277668\pi$
$702$	−4.00000	−	14.1421i	−0.150970	−	0.533761i
$703$	−10.2462	−	8.12493i	−0.386445	−	0.306437i
$704$	5.82843			0.219667
$705$	−1.29643	−	40.5886i	−0.0488262	−	1.52866i
$706$	14.4853	+	25.0892i	0.545161	+	0.944246i
$707$	4.12587	+	15.3979i	0.155169	+	0.579099i
$708$	8.89898	+	4.09978i	0.334444	+	0.154079i
$709$	13.5953	+	7.84924i	0.510582	+	0.294784i	0.733073	−	0.680150i	$-0.238085\pi$
$709$	13.5953	+	7.84924i	0.510582	+	0.294784i	−0.222491	+	0.974935i	$0.571419\pi$
$710$	−13.4142	−	26.8284i	−0.503426	−	1.00685i
$711$	29.6569	+	10.4853i	1.11222	+	0.393229i
$712$	−5.96128	+	1.59732i	−0.223408	+	0.0598621i
$713$	−6.49867	+	1.74131i	−0.243377	+	0.0652127i
$714$	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
$717$	−16.8965	+	36.6755i	−0.631011	+	1.36967i
$718$	−8.59621	−	32.0815i	−0.320808	−	1.19727i
$719$	−2.29289	−	3.97141i	−0.0855105	−	0.148109i	0.820098	−	0.572223i	$-0.193919\pi$
$719$	−2.29289	−	3.97141i	−0.0855105	−	0.148109i	−0.905609	+	0.424114i	$0.860585\pi$
$720$	−6.64444	−	0.922722i	−0.247624	−	0.0343878i
$721$	−9.00000			−0.335178
$722$	18.9903	+	0.605571i	0.706748	+	0.0225370i
$723$	−16.4853	−	23.3137i	−0.613094	−	0.867046i
$724$	2.15232	−	1.24264i	0.0799902	−	0.0461824i
$725$	5.28007	−	43.8252i	0.196097	−	1.62763i
$726$	25.4332	−	30.5957i	0.943913	−	1.13551i
$727$	5.39079	−	20.1187i	0.199933	−	0.746162i	−0.791001	−	0.611815i	$-0.790440\pi$
$727$	5.39079	−	20.1187i	0.199933	−	0.746162i	0.990934	−	0.134347i	$-0.0428936\pi$
$728$	−8.19615	+	2.19615i	−0.303770	+	0.0813948i
$729$	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
$732$	0.992072	+	10.7670i	0.0366680	+	0.397958i
$733$	−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
$735$	−1.76492	+	7.54222i	−0.0651002	+	0.278199i
$736$	1.50000	+	2.59808i	0.0552907	+	0.0957664i
$737$	−8.53341	−	31.8471i	−0.314332	−	1.17310i
$738$	−7.41970	−	5.09393i	−0.273123	−	0.187510i
$739$	−0.0254934	+	0.0147186i	−0.000937790	+	0.000541433i	−0.500469	−	0.865755i	$-0.666839\pi$
$739$	−0.0254934	+	0.0147186i	−0.000937790	+	0.000541433i	0.499531	+	0.866296i	$0.333506\pi$
$740$	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
$743$	2.06293	−	7.69897i	0.0756817	−	0.282448i	−0.917705	−	0.397262i	$-0.869960\pi$
$743$	2.06293	−	7.69897i	0.0756817	−	0.282448i	0.993387	+	0.114814i	$0.0366272\pi$
$744$	3.64394	−	1.34536i	0.133593	−	0.0493233i
$745$	18.9282	−	16.7846i	0.693476	−	0.614941i
$746$	−0.445759	+	0.257359i	−0.0163204	+	0.00942259i
$747$	0.992248	−	12.6892i	0.0363044	−	0.464273i
$748$	25.7279	−	25.7279i	0.940706	−	0.940706i
$749$	25.4558			0.930136
$750$	−19.2900	−	1.70138i	−0.704372	−	0.0621258i
$751$	0.393398	−	0.681386i	0.0143553	−	0.0248641i	−0.858759	−	0.512381i	$-0.828764\pi$
$751$	0.393398	−	0.681386i	0.0143553	−	0.0248641i	0.873114	+	0.487516i	$0.162097\pi$
$752$	7.41421	−	7.41421i	0.270369	−	0.270369i
$753$	7.51472	−	5.31371i	0.273852	−	0.193642i
$754$	21.6251	+	12.4853i	0.787541	+	0.454687i
$755$	−6.60235	−	32.2640i	−0.240284	−	1.17421i
$756$	−7.98036	−	13.3908i	−0.290243	−	0.487019i
$757$	−7.18729	+	26.8233i	−0.261226	+	0.974910i	0.703293	+	0.710900i	$0.251712\pi$
$757$	−7.18729	+	26.8233i	−0.261226	+	0.974910i	−0.964520	+	0.264011i	$0.914955\pi$
$758$	−1.42731	+	5.32681i	−0.0518424	+	0.193478i
$759$	29.8492	+	5.12132i	1.08346	+	0.185892i
$760$	−4.40192	+	8.69615i	−0.159675	+	0.315443i
$761$		−	23.4853i		−	0.851341i	−0.904878	−	0.425670i	$-0.860038\pi$
$761$		−	23.4853i		−	0.851341i	0.904878	−	0.425670i	$-0.139962\pi$
$762$	−6.27401	+	13.6184i	−0.227283	+	0.493342i
$763$	−18.0898	−	4.84714i	−0.654894	−	0.175478i
$764$	−6.70711	+	11.6170i	−0.242655	+	0.420290i
$765$	−33.4031	+	25.2569i	−1.20769	+	0.913165i
$766$	6.75736	−	11.7041i	0.244153	−	0.422886i
$767$	−11.3137	+	11.3137i	−0.408514	+	0.408514i
$768$	−1.00000	−	1.41421i	−0.0360844	−	0.0510310i
$769$	−4.35562	−	2.51472i	−0.157068	−	0.0906831i	0.419406	−	0.907799i	$-0.362238\pi$
$769$	−4.35562	−	2.51472i	−0.157068	−	0.0906831i	−0.576474	+	0.817116i	$0.695572\pi$
$770$	25.9405	+	29.2534i	0.934832	+	1.05422i
$771$	0.414214	+	0.0710678i	0.0149175	+	0.00255944i
$772$	−8.48528	−	8.48528i	−0.305392	−	0.305392i
$773$	−41.0092	+	10.9884i	−1.47500	+	0.395225i	−0.904642	−	0.426173i	$-0.859862\pi$
$773$	−41.0092	+	10.9884i	−1.47500	+	0.395225i	−0.570356	+	0.821397i	$0.693195\pi$
$774$	2.32577	+	12.5136i	0.0835979	+	0.449793i
$775$	10.3118	−	4.40477i	0.370412	−	0.158224i
$776$	2.15232	−	1.24264i	0.0772637	−	0.0446082i
$777$	14.1582	+	6.52270i	0.507922	+	0.234001i
$778$	13.4853	−	13.4853i	0.483471	−	0.483471i
$779$	−10.5000	+	7.79423i	−0.376202	+	0.279257i
$780$	5.17157	−	9.65685i	0.185172	−	0.345771i
$781$	−39.0919	−	67.7091i	−1.39882	−	2.42282i
$782$	18.0898	+	4.84714i	0.646889	+	0.173333i
$783$	−11.2585	+	44.4709i	−0.402346	+	1.58926i
$784$	−1.73205	+	1.00000i	−0.0618590	+	0.0357143i
$785$	13.7753	+	0.826834i	0.491660	+	0.0295110i
$786$	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	$0.944171\pi$
$788$	24.6169	−	6.59608i	0.876940	−	0.234975i
$789$	20.6256	+	17.1454i	0.734292	+	0.610392i
$790$	10.4853	+	20.9706i	0.373050	+	0.746099i
$791$		−	60.0000i		−	2.13335i
$792$	−17.4321	−	1.36312i	−0.619422	−	0.0484365i
$793$	−17.0552	−	4.56993i	−0.605648	−	0.162283i
$794$	−12.9853	+	22.4912i	−0.460830	+	0.798182i
$795$	28.9756	−	0.925498i	1.02766	−	0.0328240i
$796$	2.87868	+	4.98602i	0.102032	+	0.176725i
$797$	−13.7782	+	13.7782i	−0.488048	+	0.488048i	−0.907690	−	0.419642i	$-0.862156\pi$
$797$	−13.7782	+	13.7782i	−0.488048	+	0.488048i	0.419642	+	0.907690i	$0.362156\pi$
$798$	−22.1667	+	4.65153i	−0.784693	+	0.164662i
$799$		−	65.4558i		−	2.31566i
$800$	−3.08725	−	3.93305i	−0.109151	−	0.139054i
$801$	18.2030	−	3.38318i	0.643171	−	0.119539i
$802$	−10.2653	+	2.75058i	−0.362480	+	0.0971263i
$803$	11.7020	−	43.6726i	0.412956	−	1.54117i
$804$	−6.26330	+	7.53465i	−0.220890	+	0.265727i
$805$	−6.36396	+	19.0919i	−0.224300	+	0.672900i
$806$			6.34315i			0.223428i
$807$	43.2412	−	3.98426i	1.52216	−	0.140253i
$808$	−1.37529	−	5.13265i	−0.0483825	−	0.180566i
$809$	47.3137			1.66346			0.831731	−	0.555179i	$-0.187350\pi$
$809$	47.3137			1.66346			0.831731	+	0.555179i	$0.187350\pi$
$810$	19.6569	+	4.31371i	0.690671	+	0.151568i
$811$	15.2279	−	26.3755i	0.534725	−	0.926170i	−0.464452	−	0.885598i	$-0.653749\pi$
$811$	15.2279	−	26.3755i	0.534725	−	0.926170i	0.999177	−	0.0405720i	$-0.0129180\pi$
$812$	25.5828	+	6.85490i	0.897781	+	0.240560i
$813$	−3.44949	+	0.317837i	−0.120979	+	0.0111470i
$814$	15.1427	−	8.74264i	0.530751	−	0.306429i
$815$	15.1934	+	10.0315i	0.532203	+	0.351389i
$816$	−10.6569	−	1.82843i	−0.373065	−	0.0640078i
$817$	18.2942	+	2.70577i	0.640034	+	0.0946630i
$818$	18.7071	+	18.7071i	0.654079	+	0.654079i
$819$	25.0273	−	4.65153i	0.874523	−	0.162538i
$820$	−1.34486	−	6.57201i	−0.0469647	−	0.229505i
$821$	25.3864	+	14.6569i	0.885992	+	0.511528i	0.872629	−	0.488383i	$-0.162413\pi$
$821$	25.3864	+	14.6569i	0.885992	+	0.511528i	0.0133626	+	0.999911i	$0.495746\pi$
$822$	−5.52912	−	2.54727i	−0.192850	−	0.0888464i
$823$	13.1110	+	48.9308i	0.457019	+	1.70562i	0.682083	+	0.731275i	$0.261074\pi$
$823$	13.1110	+	48.9308i	0.457019	+	1.70562i	−0.225063	+	0.974344i	$0.572259\pi$
$824$	3.00000			0.104510
$825$	−50.4558	−	1.41421i	−1.75665	−	0.0492366i
$826$	−8.48528	+	14.6969i	−0.295241	+	0.511372i
$827$	6.98050	+	26.0516i	0.242736	+	0.905902i	0.974508	+	0.224353i	$0.0720267\pi$
$827$	6.98050	+	26.0516i	0.242736	+	0.905902i	−0.731772	+	0.681549i	$0.761307\pi$
$828$	−3.87868	−	8.12132i	−0.134793	−	0.282235i
$829$		−	4.97056i		−	0.172635i	−0.996268	−	0.0863174i	$-0.972490\pi$
$829$		−	4.97056i		−	0.172635i	0.996268	−	0.0863174i	$-0.0275099\pi$
$830$	7.09808	−	6.29423i	0.246378	−	0.218476i
$831$	−8.07639	+	2.98184i	−0.280167	+	0.103439i
$832$	2.73205	−	0.732051i	0.0947168	−	0.0253793i
$833$	−3.23143	+	12.0599i	−0.111962	+	0.417849i
$834$	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
$837$	−11.2132	+	3.17157i	−0.387585	+	0.109626i
$838$	−23.3479	−	6.25606i	−0.806541	−	0.216112i
$839$	9.87868	+	17.1104i	0.341050	+	0.590716i	0.984628	−	0.174665i	$-0.0558842\pi$
$839$	9.87868	+	17.1104i	0.341050	+	0.590716i	−0.643578	+	0.765380i	$0.722551\pi$
$840$	2.64738	−	11.3133i	0.0913434	−	0.390347i
$841$	−24.4706	−	42.3843i	−0.843813	−	1.46153i
$842$	−3.35703	−	12.5286i	−0.115691	−	0.431764i
$843$	16.7279	−	11.8284i	0.576140	−	0.407393i
$844$			13.4853i			0.464183i
$845$	−7.41782	−	8.36516i	−0.255181	−	0.287770i
$846$	−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
$850$	−30.9891	−	3.73357i	−1.06292	−	0.128061i
$851$	7.79423	+	4.50000i	0.267183	+	0.154258i
$852$	−9.72188	+	21.1023i	−0.333066	+	0.722954i
$853$	25.9143	+	6.94371i	0.887288	+	0.237748i	0.673549	−	0.739143i	$-0.264769\pi$
$853$	25.9143	+	6.94371i	0.887288	+	0.237748i	0.213739	+	0.976891i	$0.431436\pi$
$854$	−18.7279			−0.640856
$855$	15.1994	−	24.9796i	0.519808	−	0.854283i
$856$	−8.48528			−0.290021
$857$	−8.19615	−	2.19615i	−0.279975	−	0.0750191i	0.116099	−	0.993238i	$-0.462961\pi$
$857$	−8.19615	−	2.19615i	−0.279975	−	0.0750191i	−0.396074	+	0.918219i	$0.629628\pi$
$858$	11.9476	−	25.9335i	0.407885	−	0.885356i
$859$	−31.5717	−	18.2279i	−1.07721	−	0.621929i	−0.147069	−	0.989126i	$-0.546984\pi$
$859$	−31.5717	−	18.2279i	−1.07721	−	0.621929i	−0.930143	+	0.367198i	$0.880317\pi$
$860$	−5.22715	+	7.91688i	−0.178244	+	0.269963i
$861$	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	0.997515	−	0.0704580i	$-0.0224461\pi$
$863$	27.2340	+	27.2340i	0.927057	+	0.927057i	−0.0704580	+	0.997515i	$0.522446\pi$
$864$	2.66012	+	4.46360i	0.0904991	+	0.151855i
$865$	−31.1830	−	1.87170i	−1.06025	−	0.0636397i
$866$		−	26.4853i		−	0.900006i
$867$	−31.0711	+	21.9706i	−1.05523	+	0.746159i
$868$	1.74131	+	6.49867i	0.0591041	+	0.220579i
$869$	30.5563	+	52.9251i	1.03655	+	1.79536i
$870$	−29.0506	+	18.0328i	−0.984906	+	0.611369i
$871$	−8.00000	−	13.8564i	−0.271070	−	0.469506i
$872$	6.02993	+	1.61571i	0.204199	+	0.0547150i
$873$	−6.72792	+	3.21320i	−0.227706	+	0.108750i
$874$	−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
$877$	5.81200	−	21.6907i	0.196257	−	0.732442i	−0.795681	−	0.605717i	$-0.792887\pi$
$877$	5.81200	−	21.6907i	0.196257	−	0.732442i	0.991938	−	0.126726i	$-0.0404468\pi$
$878$	−20.7248	+	5.55318i	−0.699427	+	0.187411i
$879$	12.9509	−	4.78154i	0.436824	−	0.161277i
$880$	−8.64684	−	9.75115i	−0.291485	−	0.328711i
$881$		−	7.28427i		−	0.245413i	−0.992443	−	0.122707i	$-0.960843\pi$
$881$		−	7.28427i		−	0.245413i	0.992443	−	0.122707i	$-0.0391574\pi$
$882$	5.41421	−	2.58579i	0.182306	−	0.0870680i
$883$	−5.30198	−	19.7873i	−0.178426	−	0.665894i	−0.995943	−	0.0899897i	$-0.971317\pi$
$883$	−5.30198	−	19.7873i	−0.178426	−	0.665894i	0.817517	−	0.575905i	$-0.195350\pi$
$884$	8.82843	−	15.2913i	0.296932	−	0.514302i
$885$	−6.34315	−	20.9706i	−0.213223	−	0.704918i
$886$	25.7574			0.865335
$887$	−8.14137	−	30.3840i	−0.273361	−	1.02020i	−0.956932	−	0.290312i	$-0.906241\pi$
$887$	−8.14137	−	30.3840i	−0.273361	−	1.02020i	0.683572	−	0.729883i	$-0.260426\pi$
$888$	−4.71940	−	2.17423i	−0.158373	−	0.0729625i
$889$	−22.4912	−	12.9853i	−0.754330	−	0.435512i
$890$	11.5163	+	7.60369i	0.386028	+	0.254876i
$891$	51.8182	+	8.15385i	1.73598	+	0.273164i
$892$	−0.363961	−	0.363961i	−0.0121863	−	0.0121863i
$893$	16.8151	+	42.4986i	0.562695	+	1.42216i
$894$	−19.3137	−	3.31371i	−0.645947	−	0.110827i
$895$	−9.26021	−	45.2524i	−0.309535	−	1.51262i
$896$	2.59808	−	1.50000i	0.0867956	−	0.0501115i
$897$	14.6349	−	1.34847i	0.488647	−	0.0450241i
$898$	−11.7568	−	3.15023i	−0.392331	−	0.105125i
$899$	9.89949	−	17.1464i	0.330167	−	0.571865i
$900$	8.31371	+	12.4853i	0.277124	+	0.416176i
$901$	46.7279			1.55673
$902$	−4.52552	−	16.8895i	−0.150683	−	0.562358i
$903$	−21.9524	+	2.02270i	−0.730531	+	0.0673114i
$904$			20.0000i			0.665190i
$905$	−5.27208	−	1.75736i	−0.175250	−	0.0584166i
$906$	−16.3068	+	19.6169i	−0.541759	+	0.651727i
$907$	−10.4156	+	38.8714i	−0.345843	+	1.29070i	0.545781	+	0.837928i	$0.316233\pi$
$907$	−10.4156	+	38.8714i	−0.345843	+	1.29070i	−0.891624	+	0.452776i	$0.850434\pi$
$908$	−10.5967	+	2.83939i	−0.351665	+	0.0942285i
$909$	2.91291	+	15.6727i	0.0966152	+	0.519832i
$910$	15.8338	+	10.4543i	0.524884	+	0.346557i
$911$			6.68629i			0.221527i	0.993847	+	0.110763i	$0.0353296\pi$
$911$			6.68629i			0.221527i	−0.993847	+	0.110763i	$0.964670\pi$
$912$	7.38891	−	1.55051i	0.244671	−	0.0513425i
$913$	17.4853	−	17.4853i	0.578678	−	0.578678i
$914$	6.34315	+	10.9867i	0.209813	+	0.363406i
$915$	16.5417	−	17.6332i	0.546851	−	0.582937i
$916$	12.1213	−	20.9947i	0.400500	−	0.693686i
$917$	43.4667	+	11.6469i	1.43540	+	0.384613i
$918$	31.4456	+	7.96096i	1.03786	+	0.262751i
$919$			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
$922$	35.8481	−	9.60547i	1.18059	−	0.316339i
$923$	−26.8284	−	26.8284i	−0.883068	−	0.883068i
$924$	5.12132	−	29.8492i	0.168479	−	0.981968i
$925$	−13.9205	−	5.58750i	−0.457703	−	0.183716i
$926$	21.2304	−	12.2574i	0.697673	−	0.402802i
$927$	−8.97261	−	0.701625i	−0.294699	−	0.0230444i
$928$	−8.52761	−	2.28497i	−0.279932	−	0.0750077i
$929$	−15.2990	−	26.4986i	−0.501944	−	0.869392i	−0.999997	−	0.00224570i	$-0.999285\pi$
$929$	−15.2990	−	26.4986i	−0.501944	−	0.869392i	0.498054	−	0.867146i	$-0.334048\pi$
$930$	−7.65685	−	4.10051i	−0.251078	−	0.134461i
$931$	−1.00000	−	8.66025i	−0.0327737	−	0.283828i
$932$	−4.58579	+	4.58579i	−0.150212	+	0.150212i
$933$	13.3485	+	6.14966i	0.437009	+	0.201331i
$934$	12.5446	−	7.24264i	0.410473	−	0.236986i
$935$	−81.2127	−	4.87464i	−2.65594	−	0.159418i
$936$	−8.34242	+	1.55051i	−0.272680	+	0.0506800i
$937$	−40.9406	+	10.9700i	−1.33747	+	0.358374i	−0.855495	−	0.517811i	$-0.826747\pi$
$937$	−40.9406	+	10.9700i	−1.33747	+	0.358374i	−0.481975	+	0.876185i	$0.660080\pi$
$938$	−12.0000	−	12.0000i	−0.391814	−	0.391814i
$939$	−16.3137	−	2.79899i	−0.532378	−	0.0913416i
$940$	−23.4037	−	1.40476i	−0.763344	−	0.0458183i
$941$	−11.9503	−	6.89949i	−0.389568	−	0.224917i	0.292405	−	0.956295i	$-0.405544\pi$
$941$	−11.9503	−	6.89949i	−0.389568	−	0.224917i	−0.681973	+	0.731377i	$0.738878\pi$
$942$	−6.17157	−	8.72792i	−0.201081	−	0.284371i
$943$	6.36396	−	6.36396i	0.207239	−	0.207239i
$944$	2.82843	−	4.89898i	0.0920575	−	0.159448i
$945$	−10.5639	+	33.2175i	−0.343643	+	1.08057i
$946$	−12.3640	+	21.4150i	−0.401987	+	0.696262i
$947$	12.3511	+	3.30947i	0.401357	+	0.107543i	0.453850	−	0.891078i	$-0.350050\pi$
$947$	12.3511	+	3.30947i	0.401357	+	0.107543i	−0.0524933	+	0.998621i	$0.516717\pi$
$948$	7.59915	−	16.4947i	0.246809	−	0.535724i
$949$		−	21.9411i		−	0.712239i
$950$	21.0795	−	5.53674i	0.683909	−	0.179635i
$951$	38.3345	+	6.57716i	1.24308	+	0.213279i
$952$	4.84714	−	18.0898i	0.157097	−	0.586293i
$953$	−7.49813	+	27.9834i	−0.242888	+	0.906472i	0.731545	+	0.681794i	$0.238800\pi$
$953$	−7.49813	+	27.9834i	−0.242888	+	0.906472i	−0.974433	+	0.224678i	$0.927867\pi$
$954$	−14.5925	−	17.0682i	−0.472449	−	0.552604i
$955$	29.3861	−	6.01343i	0.950913	−	0.194590i
$956$	20.1903	+	11.6569i	0.653000	+	0.377010i
$957$	−72.7696	+	51.4558i	−2.35231	+	1.66333i
$958$	4.51472	−	4.51472i	0.145864	−	0.145864i
$959$	5.27208	−	9.13151i	0.170244	−	0.294872i
$960$	−0.882461	+	3.77111i	−0.0284813	+	0.121712i
$961$	−25.9706			−0.837760
$962$	6.00000	−	6.00000i	0.193448	−	0.193448i
$963$	25.3784	+	1.98450i	0.817807	+	0.0639495i
$964$	−14.2767	+	8.24264i	−0.459821	+	0.265478i
$965$	−1.60770	+	26.7846i	−0.0517535	+	0.862227i
$966$	14.6236	−	5.39910i	0.470507	−	0.173713i
$967$	−1.92971	+	7.20179i	−0.0620554	+	0.231594i	−0.989987	−	0.141155i	$-0.954918\pi$
$967$	−1.92971	+	7.20179i	−0.0620554	+	0.231594i	0.927932	+	0.372749i	$0.121585\pi$
$968$	−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	0.00547389	−	0.999985i	$-0.498258\pi$
$971$	27.2416	−	15.7279i	0.874223	−	0.504733i	0.868749	+	0.495252i	$0.164924\pi$
$972$	−6.91215	−	13.9722i	−0.221707	−	0.448158i
$973$	10.8704	+	40.5689i	0.348489	+	1.30058i
$974$	2.39949	+	4.15605i	0.0768848	+	0.133168i
$975$	−23.8286	+	5.67435i	−0.763126	+	0.181725i
$976$	6.24264			0.199822
$977$	16.2426	−	16.2426i	0.519648	−	0.519648i	−0.397817	−	0.917465i	$-0.630232\pi$
$977$	16.2426	−	16.2426i	0.519648	−	0.519648i	0.917465	+	0.397817i	$0.130232\pi$
$978$	−1.29394	−	14.0431i	−0.0413755	−	0.449049i
$979$	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
$982$	−33.9447	+	9.09545i	−1.08322	+	0.290248i
$983$	8.91783	−	33.2818i	0.284435	−	1.06152i	−0.664817	−	0.747006i	$-0.731490\pi$
$983$	8.91783	−	33.2818i	0.284435	−	1.06152i	0.949252	−	0.314518i	$-0.101843\pi$
$984$	−3.32162	+	3.99585i	−0.105889	+	0.127383i
$985$	−47.5562	−	31.3992i	−1.51527	−	1.00046i
$986$	−47.7290	+	27.5563i	−1.52000	+	0.877573i
$987$	−31.4558	−	44.4853i	−1.00125	−	1.41598i
$988$	−1.80385	+	12.1962i	−0.0573880	+	0.388011i
$989$	−12.7279			−0.404724
$990$	23.5810	+	31.1867i	0.749455	+	0.991178i
$991$	−3.00000	−	5.19615i	−0.0952981	−	0.165061i	0.814435	−	0.580255i	$-0.197047\pi$
$991$	−3.00000	−	5.19615i	−0.0952981	−	0.165061i	−0.909733	+	0.415194i	$0.863714\pi$
$992$	−0.580438	−	2.16622i	−0.0184289	−	0.0687777i
$993$	21.3693	−	46.3842i	0.678134	−	1.47196i
$994$	−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
$997$	−37.0082	+	9.91632i	−1.17206	+	0.314053i	−0.791773	−	0.610815i	$-0.790842\pi$
$997$	−37.0082	+	9.91632i	−1.17206	+	0.314053i	−0.380288	+	0.924868i	$0.624175\pi$
$998$	3.89214	−	1.04290i	0.123203	−	0.0330123i
$999$	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.b.197.2	yes	8
3.2	odd	2		570.2.v.a.197.1	yes	8
5.3	odd	4		570.2.v.a.83.2	✓	8
15.8	even	4	inner	570.2.v.b.83.1	yes	8
19.11	even	3	inner	570.2.v.b.467.1	yes	8
57.11	odd	6		570.2.v.a.467.2	yes	8
95.68	odd	12		570.2.v.a.353.1	yes	8
285.68	even	12	inner	570.2.v.b.353.2	yes	8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
570.2.v.a.83.2	✓	8	5.3	odd	4
570.2.v.a.197.1	yes	8	3.2	odd	2
570.2.v.a.353.1	yes	8	95.68	odd	12
570.2.v.a.467.2	yes	8	57.11	odd	6
570.2.v.b.83.1	yes	8	15.8	even	4	inner
570.2.v.b.197.2	yes	8	1.1	even	1	trivial
570.2.v.b.353.2	yes	8	285.68	even	12	inner
570.2.v.b.467.1	yes	8	19.11	even	3	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.v (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.965926 + 0.258819i) q^{2} +(-0.724745 + 1.57313i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.448288 - 2.19067i) q^{5} +(-1.10721 + 1.33195i) q^{6} +(-2.12132 - 2.12132i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-1.94949 - 2.28024i) q^{9} +O(q^{10})\)	\(q+(0.965926 + 0.258819i) q^{2} +(-0.724745 + 1.57313i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.448288 - 2.19067i) 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} +(0.133975 - 2.23205i) q^{10} -5.82843i q^{11} +(-1.41421 + 1.00000i) q^{12} +(-0.732051 - 2.73205i) q^{13} +(-1.50000 - 2.59808i) q^{14} +(3.77111 + 0.882461i) q^{15} +(0.500000 + 0.866025i) q^{16} +(6.02993 + 1.61571i) q^{17} +(-1.29289 - 2.70711i) q^{18} +(-4.33013 + 0.500000i) q^{19} +(0.707107 - 2.12132i) q^{20} +(4.87453 - 1.79970i) q^{21} +(1.50851 - 5.62983i) q^{22} +(2.89778 - 0.776457i) q^{23} +(-1.62484 + 0.599900i) q^{24} +(-4.59808 + 1.96410i) q^{25} -2.82843i q^{26} +(5.00000 - 1.41421i) q^{27} +(-0.776457 - 2.89778i) q^{28} +(-4.41421 + 7.64564i) q^{29} +(3.41421 + 1.82843i) q^{30} -2.24264 q^{31} +(0.258819 + 0.965926i) q^{32} +(9.16889 + 4.22412i) q^{33} +(5.40629 + 3.12132i) q^{34} +(-3.69615 + 5.59808i) q^{35} +(-0.548188 - 2.94949i) q^{36} +(2.12132 + 2.12132i) q^{37} +(-4.31199 - 0.637756i) q^{38} +(4.82843 + 0.828427i) q^{39} +(1.23205 - 1.86603i) q^{40} +(2.59808 - 1.50000i) q^{41} +(5.17423 - 0.476756i) q^{42} +(-4.09808 - 1.09808i) q^{43} +(2.91421 - 5.04757i) q^{44} +(-4.12132 + 5.29289i) q^{45} +3.00000 q^{46} +(-2.71379 - 10.1280i) q^{47} +(-1.72474 + 0.158919i) q^{48} +2.00000i q^{49} +(-4.94975 + 0.707107i) q^{50} +(-6.91189 + 8.31489i) q^{51} +(0.732051 - 2.73205i) q^{52} +(7.23023 - 1.93733i) q^{53} +(5.19565 - 0.0719302i) q^{54} +(-12.7682 + 2.61281i) q^{55} -3.00000i q^{56} +(2.35167 - 7.17423i) q^{57} +(-6.24264 + 6.24264i) q^{58} +(-2.82843 - 4.89898i) q^{59} +(2.82465 + 2.64979i) q^{60} +(3.12132 - 5.40629i) q^{61} +(-2.16622 - 0.580438i) q^{62} +(-0.701625 + 8.97261i) q^{63} +1.00000i q^{64} +(-5.65685 + 2.82843i) q^{65} +(7.76318 + 6.45327i) q^{66} +(5.46410 - 1.46410i) q^{67} +(4.41421 + 4.41421i) q^{68} +(-0.878680 + 5.12132i) q^{69} +(-5.01910 + 4.45069i) q^{70} +(11.6170 - 6.70711i) q^{71} +(0.233875 - 2.99087i) q^{72} +(7.49303 + 2.00775i) q^{73} +(1.50000 + 2.59808i) q^{74} +(0.242641 - 8.65685i) q^{75} +(-4.00000 - 1.73205i) q^{76} +(-12.3640 + 12.3640i) q^{77} +(4.44949 + 2.04989i) q^{78} +(-9.08052 + 5.24264i) q^{79} +(1.67303 - 1.48356i) q^{80} +(-1.39898 + 8.89060i) q^{81} +(2.89778 - 0.776457i) q^{82} +(3.00000 + 3.00000i) q^{83} +(5.12132 + 0.878680i) q^{84} +(0.836355 - 13.9339i) q^{85} +(-3.67423 - 2.12132i) q^{86} +(-8.82843 - 12.4853i) q^{87} +(4.12132 - 4.12132i) q^{88} +(-3.08579 + 5.34474i) q^{89} +(-5.35079 + 4.04587i) q^{90} +(-4.24264 + 7.34847i) q^{91} +(2.89778 + 0.776457i) q^{92} +(1.62534 - 3.52797i) q^{93} -10.4853i q^{94} +(3.03648 + 9.26174i) q^{95} +(-1.70711 - 0.292893i) q^{96} +(0.643238 - 2.40060i) q^{97} +(-0.517638 + 1.93185i) q^{98} +(-13.2902 + 11.3625i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 4 q^{3} - 4 q^{6} + 4 q^{9}+O(q^{10}) \) 8 * q + 4 * q^3 - 4 * q^6 + 4 * q^9	\( 8 q + 4 q^{3} - 4 q^{6} + 4 q^{9} + 8 q^{10} + 8 q^{13} - 12 q^{14} - 4 q^{15} + 4 q^{16} + 12 q^{17} - 16 q^{18} + 12 q^{21} - 8 q^{22} - 4 q^{24} - 16 q^{25} + 40 q^{27} - 24 q^{29} + 16 q^{30} + 16 q^{31} + 16 q^{33} + 12 q^{35} + 16 q^{39} - 4 q^{40} + 12 q^{42} - 12 q^{43} + 12 q^{44} - 16 q^{45} + 24 q^{46} + 24 q^{47} - 4 q^{48} - 20 q^{51} - 8 q^{52} + 24 q^{53} - 4 q^{54} - 8 q^{55} - 16 q^{58} + 12 q^{60} + 8 q^{61} - 12 q^{62} - 24 q^{63} - 4 q^{66} + 16 q^{67} + 24 q^{68} - 24 q^{69} + 8 q^{72} - 12 q^{73} + 12 q^{74} - 32 q^{75} - 32 q^{76} - 48 q^{77} + 16 q^{78} + 28 q^{81} + 24 q^{83} + 24 q^{84} + 16 q^{85} - 48 q^{87} + 16 q^{88} - 36 q^{89} - 8 q^{90} + 8 q^{93} - 8 q^{96} - 24 q^{97} - 32 q^{99}+O(q^{100}) \) 8 * q + 4 * q^3 - 4 * q^6 + 4 * q^9 + 8 * q^10 + 8 * q^13 - 12 * q^14 - 4 * q^15 + 4 * q^16 + 12 * q^17 - 16 * q^18 + 12 * q^21 - 8 * q^22 - 4 * q^24 - 16 * q^25 + 40 * q^27 - 24 * q^29 + 16 * q^30 + 16 * q^31 + 16 * q^33 + 12 * q^35 + 16 * q^39 - 4 * q^40 + 12 * q^42 - 12 * q^43 + 12 * q^44 - 16 * q^45 + 24 * q^46 + 24 * q^47 - 4 * q^48 - 20 * q^51 - 8 * q^52 + 24 * q^53 - 4 * q^54 - 8 * q^55 - 16 * q^58 + 12 * 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 - 32 * q^75 - 32 * q^76 - 48 * q^77 + 16 * q^78 + 28 * q^81 + 24 * q^83 + 24 * q^84 + 16 * q^85 - 48 * q^87 + 16 * q^88 - 36 * q^89 - 8 * q^90 + 8 * q^93 - 8 * q^96 - 24 * q^97 - 32 * q^99

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