LMFDB - Embedded newform 483.2.q.f.127.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [483,2,Mod(64,483)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(483, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([0, 0, 12]))

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

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

chi := DirichletCharacter("483.64");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 483 = 3 \cdot 7 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	483.q (of order $11$, degree $10$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.85677441763$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$8$ over $\Q(\zeta_{11})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label			127.3
Character	$\chi$	$=$	483.127
Dual form			483.2.q.f.232.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.32987 + 0.854653i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.207281 - 0.453882i) q^{4} +(0.177622 - 0.0521546i) q^{5} +(-0.656694 - 1.43796i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.337691 - 2.34869i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})$	\(q+(-1.32987 + 0.854653i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.207281 - 0.453882i) q^{4} +(0.177622 - 0.0521546i) q^{5} +(-0.656694 - 1.43796i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.337691 - 2.34869i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-0.191640 + 0.221164i) q^{10} +(5.23417 + 3.36380i) q^{11} +(0.419763 + 0.269765i) q^{12} +(-4.05901 + 4.68435i) q^{13} +(-1.51678 - 0.445367i) q^{14} +(0.0263455 + 0.183237i) q^{15} +(3.10992 + 3.58903i) q^{16} +(-2.03285 - 4.45133i) q^{17} +(1.51678 - 0.445367i) q^{18} +(-1.94221 + 4.25284i) q^{19} +(0.0131457 - 0.0914303i) q^{20} +(-0.841254 + 0.540641i) q^{21} -9.83562 q^{22} +(1.99401 + 4.36164i) q^{23} +2.37284 q^{24} +(-4.17744 + 2.68468i) q^{25} +(1.39445 - 9.69860i) q^{26} +(0.415415 - 0.909632i) q^{27} +(0.478762 - 0.140577i) q^{28} +(-0.777106 - 1.70162i) q^{29} +(-0.191640 - 0.221164i) q^{30} +(-1.34551 - 9.35823i) q^{31} +(-2.64969 - 0.778020i) q^{32} +(-4.07446 + 4.70218i) q^{33} +(6.50776 + 4.18228i) q^{34} +(0.155734 + 0.100084i) q^{35} +(-0.326758 + 0.377099i) q^{36} +(-0.179426 - 0.0526844i) q^{37} +(-1.05183 - 7.31562i) q^{38} +(-4.05901 - 4.68435i) q^{39} +(-0.182476 - 0.399568i) q^{40} +(-0.453176 + 0.133064i) q^{41} +(0.656694 - 1.43796i) q^{42} +(-0.492732 + 3.42703i) q^{43} +(2.61171 - 1.67845i) q^{44} -0.185121 q^{45} +(-6.37946 - 4.09621i) q^{46} -3.92706 q^{47} +(-3.99509 + 2.56749i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(3.26097 - 7.14052i) q^{50} +(4.69532 - 1.37867i) q^{51} +(1.28479 + 2.81329i) q^{52} +(-5.64438 - 6.51396i) q^{53} +(0.224973 + 1.56472i) q^{54} +(1.10514 + 0.324499i) q^{55} +(1.55388 - 1.79328i) q^{56} +(-3.93315 - 2.52768i) q^{57} +(2.48774 + 1.59878i) q^{58} +(-5.32066 + 6.14037i) q^{59} +(0.0886288 + 0.0260238i) q^{60} +(1.90986 + 13.2833i) q^{61} +(9.78738 + 11.2952i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-4.92454 + 1.44598i) q^{64} +(-0.476660 + 1.04374i) q^{65} +(1.39975 - 9.73551i) q^{66} +(-3.99267 + 2.56593i) q^{67} -2.44175 q^{68} +(-4.60102 + 1.35299i) q^{69} -0.292642 q^{70} +(10.1452 - 6.51994i) q^{71} +(-0.337691 + 2.34869i) q^{72} +(1.25942 - 2.75775i) q^{73} +(0.283640 - 0.0832842i) q^{74} +(-2.06284 - 4.51699i) q^{75} +(1.52771 + 1.76307i) q^{76} +(0.885464 + 6.15854i) q^{77} +(9.40143 + 2.76051i) q^{78} +(-0.500711 + 0.577852i) q^{79} +(0.739575 + 0.475296i) q^{80} +(0.841254 + 0.540641i) q^{81} +(0.488939 - 0.564266i) q^{82} +(-6.26498 - 1.83956i) q^{83} +(0.0710113 + 0.493895i) q^{84} +(-0.593237 - 0.684632i) q^{85} +(-2.27365 - 4.97860i) q^{86} +(1.79490 - 0.527029i) q^{87} +(6.13299 - 13.4294i) q^{88} +(-0.342951 + 2.38527i) q^{89} +(0.246186 - 0.158214i) q^{90} -6.19828 q^{91} +(2.39299 - 0.000961624i) q^{92} +9.45446 q^{93} +(5.22246 - 3.35627i) q^{94} +(-0.123174 + 0.856695i) q^{95} +(1.14719 - 2.51200i) q^{96} +(11.4858 - 3.37254i) q^{97} +(-0.656694 - 1.43796i) q^{98} +(-4.07446 - 4.70218i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9}+O(q^{10}) $ 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9} + 4 q^{10} + q^{11} - 9 q^{12} - 26 q^{13} - q^{14} + 2 q^{15} - 3 q^{16} - 23 q^{17} + q^{18} + 10 q^{19} + 63 q^{20} + 8 q^{21} - 9 q^{23} + 30 q^{24} - 29 q^{25} - 12 q^{26} - 8 q^{27} + 20 q^{28} + 13 q^{29} + 4 q^{30} - 27 q^{31} + 71 q^{32} + q^{33} - 45 q^{34} - 2 q^{35} - 9 q^{36} + 60 q^{37} - 2 q^{38} - 26 q^{39} + 7 q^{40} - 26 q^{41} - q^{42} + 5 q^{43} - 33 q^{44} - 20 q^{45} - 41 q^{46} + 34 q^{47} - 58 q^{48} - 8 q^{49} - 75 q^{50} - q^{51} + 108 q^{52} - 39 q^{53} - 10 q^{54} + 51 q^{55} + 3 q^{56} + 10 q^{57} + 47 q^{58} - 66 q^{59} + 19 q^{60} + 3 q^{61} + 103 q^{62} + 8 q^{63} - 25 q^{64} + 39 q^{65} - 33 q^{66} + 33 q^{67} - 88 q^{68} + 13 q^{69} + 18 q^{70} - 12 q^{71} - 25 q^{72} - 98 q^{73} + 123 q^{74} + 4 q^{75} - 41 q^{76} - 12 q^{77} + 10 q^{78} - 34 q^{79} + 163 q^{80} - 8 q^{81} + 48 q^{82} + 26 q^{83} + 9 q^{84} + 35 q^{85} + 4 q^{86} + 2 q^{87} + 178 q^{88} - 63 q^{89} + 4 q^{90} - 62 q^{91} - 39 q^{92} + 138 q^{93} - 28 q^{94} - 80 q^{95} - 17 q^{96} - 44 q^{97} + q^{98} + q^{99}+O(q^{100}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9 + 4 * q^10 + q^11 - 9 * q^12 - 26 * q^13 - q^14 + 2 * q^15 - 3 * q^16 - 23 * q^17 + q^18 + 10 * q^19 + 63 * q^20 + 8 * q^21 - 9 * q^23 + 30 * q^24 - 29 * q^25 - 12 * q^26 - 8 * q^27 + 20 * q^28 + 13 * q^29 + 4 * q^30 - 27 * q^31 + 71 * q^32 + q^33 - 45 * q^34 - 2 * q^35 - 9 * q^36 + 60 * q^37 - 2 * q^38 - 26 * q^39 + 7 * q^40 - 26 * q^41 - q^42 + 5 * q^43 - 33 * q^44 - 20 * q^45 - 41 * q^46 + 34 * q^47 - 58 * q^48 - 8 * q^49 - 75 * q^50 - q^51 + 108 * q^52 - 39 * q^53 - 10 * q^54 + 51 * q^55 + 3 * q^56 + 10 * q^57 + 47 * q^58 - 66 * q^59 + 19 * q^60 + 3 * q^61 + 103 * q^62 + 8 * q^63 - 25 * q^64 + 39 * q^65 - 33 * q^66 + 33 * q^67 - 88 * q^68 + 13 * q^69 + 18 * q^70 - 12 * q^71 - 25 * q^72 - 98 * q^73 + 123 * q^74 + 4 * q^75 - 41 * q^76 - 12 * q^77 + 10 * q^78 - 34 * q^79 + 163 * q^80 - 8 * q^81 + 48 * q^82 + 26 * q^83 + 9 * q^84 + 35 * q^85 + 4 * q^86 + 2 * q^87 + 178 * q^88 - 63 * q^89 + 4 * q^90 - 62 * q^91 - 39 * q^92 + 138 * q^93 - 28 * q^94 - 80 * q^95 - 17 * q^96 - 44 * q^97 + q^98 + q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/483\mathbb{Z}\right)^\times$.

$n$	$323$	$346$	$442$
$\chi(n)$	$1$	$1$	$e\left(\frac{10}{11}\right)$

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 $

$2$	−1.32987	+	0.854653i	−0.940357	+	0.604331i	−0.918496	−	0.395430i	$-0.870595\pi$
$2$	−1.32987	+	0.854653i	−0.940357	+	0.604331i	−0.0218610	+	0.999761i	$0.506959\pi$
$3$	−0.142315	+	0.989821i	−0.0821655	+	0.571474i
$3$	−0.142315	+	0.989821i	−0.0821655	+	0.571474i
$4$	0.207281	−	0.453882i	0.103641	−	0.226941i
$5$	0.177622	−	0.0521546i	0.0794351	−	0.0233242i	−0.241774	−	0.970333i	$-0.577729\pi$
$5$	0.177622	−	0.0521546i	0.0794351	−	0.0233242i	0.321209	+	0.947008i	$0.395911\pi$
$6$	−0.656694	−	1.43796i	−0.268094	−	0.587044i
$7$	0.654861	+	0.755750i	0.247514	+	0.285646i
$7$	0.654861	+	0.755750i	0.247514	+	0.285646i
$8$	−0.337691	−	2.34869i	−0.119392	−	0.830388i
$9$	−0.959493	−	0.281733i	−0.319831	−	0.0939109i
$10$	−0.191640	+	0.221164i	−0.0606018	+	0.0699382i
$11$	5.23417	+	3.36380i	1.57816	+	1.01422i	0.976512	+	0.215463i	$0.0691260\pi$
$11$	5.23417	+	3.36380i	1.57816	+	1.01422i	0.601650	+	0.798760i	$0.294510\pi$
$12$	0.419763	+	0.269765i	0.121175	+	0.0778746i
$13$	−4.05901	+	4.68435i	−1.12577	+	1.29920i	−0.176653	+	0.984273i	$0.556527\pi$
$13$	−4.05901	+	4.68435i	−1.12577	+	1.29920i	−0.949114	+	0.314931i	$0.898018\pi$
$14$	−1.51678	−	0.445367i	−0.405377	−	0.119029i
$15$	0.0263455	+	0.183237i	0.00680237	+	0.0473115i
$16$	3.10992	+	3.58903i	0.777479	+	0.897258i
$17$	−2.03285	−	4.45133i	−0.493039	−	1.07961i	−0.978669	−	0.205441i	$-0.934137\pi$
$17$	−2.03285	−	4.45133i	−0.493039	−	1.07961i	0.485630	−	0.874164i	$-0.338590\pi$
$18$	1.51678	−	0.445367i	0.357509	−	0.104974i
$19$	−1.94221	+	4.25284i	−0.445573	+	0.975669i	0.544968	+	0.838457i	$0.316542\pi$
$19$	−1.94221	+	4.25284i	−0.445573	+	0.975669i	−0.990542	+	0.137213i	$0.956186\pi$
$20$	0.0131457	−	0.0914303i	0.00293947	−	0.0204444i
$21$	−0.841254	+	0.540641i	−0.183577	+	0.117977i
$22$	−9.83562			−2.09696
$23$	1.99401	+	4.36164i	0.415781	+	0.909465i
$23$	1.99401	+	4.36164i	0.415781	+	0.909465i
$24$	2.37284			0.484355
$25$	−4.17744	+	2.68468i	−0.835488	+	0.536935i
$26$	1.39445	−	9.69860i	0.273474	−	1.90205i
$27$	0.415415	−	0.909632i	0.0799467	−	0.175059i
$28$	0.478762	−	0.140577i	0.0904774	−	0.0265666i
$29$	−0.777106	−	1.70162i	−0.144305	−	0.315984i	0.823654	−	0.567093i	$-0.191932\pi$
$29$	−0.777106	−	1.70162i	−0.144305	−	0.315984i	−0.967959	+	0.251109i	$0.919205\pi$
$30$	−0.191640	−	0.221164i	−0.0349885	−	0.0403788i
$31$	−1.34551	−	9.35823i	−0.241661	−	1.68079i	−0.643788	−	0.765203i	$-0.722638\pi$
$31$	−1.34551	−	9.35823i	−0.241661	−	1.68079i	0.402128	−	0.915584i	$-0.368271\pi$
$32$	−2.64969	−	0.778020i	−0.468404	−	0.137536i
$33$	−4.07446	+	4.70218i	−0.709272	+	0.818544i
$34$	6.50776	+	4.18228i	1.11607	+	0.717256i
$35$	0.155734	+	0.100084i	0.0263238	+	0.0169173i
$36$	−0.326758	+	0.377099i	−0.0544597	+	0.0628498i
$37$	−0.179426	−	0.0526844i	−0.0294975	−	0.00866126i	0.266951	−	0.963710i	$-0.413984\pi$
$37$	−0.179426	−	0.0526844i	−0.0294975	−	0.00866126i	−0.296448	+	0.955049i	$0.595802\pi$
$38$	−1.05183	−	7.31562i	−0.170629	−	1.18675i
$39$	−4.05901	−	4.68435i	−0.649962	−	0.750096i
$40$	−0.182476	−	0.399568i	−0.0288521	−	0.0631772i
$41$	−0.453176	+	0.133064i	−0.0707742	+	0.0207812i	−0.316928	−	0.948450i	$-0.602651\pi$
$41$	−0.453176	+	0.133064i	−0.0707742	+	0.0207812i	0.246154	+	0.969231i	$0.420833\pi$
$42$	0.656694	−	1.43796i	0.101330	−	0.221882i
$43$	−0.492732	+	3.42703i	−0.0751409	+	0.522617i	0.917136	+	0.398574i	$0.130495\pi$
$43$	−0.492732	+	3.42703i	−0.0751409	+	0.522617i	−0.992277	+	0.124042i	$0.960414\pi$
$44$	2.61171	−	1.67845i	0.393731	−	0.253035i
$45$	−0.185121			−0.0275962
$46$	−6.37946	−	4.09621i	−0.940600	−	0.603953i
$47$	−3.92706			−0.572820			−0.286410	−	0.958107i	$-0.592462\pi$
$47$	−3.92706			−0.572820			−0.286410	+	0.958107i	$0.592462\pi$
$48$	−3.99509	+	2.56749i	−0.576642	+	0.370585i
$49$	−0.142315	+	0.989821i	−0.0203307	+	0.141403i
$50$	3.26097	−	7.14052i	0.461170	−	1.00982i
$51$	4.69532	−	1.37867i	0.657477	−	0.193053i
$52$	1.28479	+	2.81329i	0.178168	+	0.390133i
$53$	−5.64438	−	6.51396i	−0.775315	−	0.894761i	0.221447	−	0.975172i	$-0.428922\pi$
$53$	−5.64438	−	6.51396i	−0.775315	−	0.894761i	−0.996762	+	0.0804116i	$0.974377\pi$
$54$	0.224973	+	1.56472i	0.0306150	+	0.212932i
$55$	1.10514	+	0.324499i	0.149017	+	0.0437555i
$56$	1.55388	−	1.79328i	0.207646	−	0.239637i
$57$	−3.93315	−	2.52768i	−0.520959	−	0.334800i
$58$	2.48774	+	1.59878i	0.326657	+	0.209930i
$59$	−5.32066	+	6.14037i	−0.692691	+	0.799407i	−0.987746	−	0.156073i	$-0.950117\pi$
$59$	−5.32066	+	6.14037i	−0.692691	+	0.799407i	0.295055	+	0.955480i	$0.404662\pi$
$60$	0.0886288	+	0.0260238i	0.0114419	+	0.00335965i
$61$	1.90986	+	13.2833i	0.244532	+	1.70076i	0.628825	+	0.777547i	$0.283536\pi$
$61$	1.90986	+	13.2833i	0.244532	+	1.70076i	−0.384293	+	0.923211i	$0.625555\pi$
$62$	9.78738	+	11.2952i	1.24300	+	1.43450i
$63$	−0.415415	−	0.909632i	−0.0523374	−	0.114603i
$64$	−4.92454	+	1.44598i	−0.615567	+	0.180747i
$65$	−0.476660	+	1.04374i	−0.0591224	+	0.129460i
$66$	1.39975	−	9.73551i	0.172298	−	1.19836i
$67$	−3.99267	+	2.56593i	−0.487782	+	0.313479i	−0.761313	−	0.648385i	$-0.775445\pi$
$67$	−3.99267	+	2.56593i	−0.487782	+	0.313479i	0.273531	+	0.961863i	$0.411809\pi$
$68$	−2.44175			−0.296106
$69$	−4.60102	+	1.35299i	−0.553898	+	0.162881i
$70$	−0.292642			−0.0349774
$71$	10.1452	−	6.51994i	1.20402	−	0.773775i	0.224371	−	0.974504i	$-0.427967\pi$
$71$	10.1452	−	6.51994i	1.20402	−	0.773775i	0.979647	+	0.200729i	$0.0643310\pi$
$72$	−0.337691	+	2.34869i	−0.0397973	+	0.276796i
$73$	1.25942	−	2.75775i	0.147404	−	0.322770i	−0.821499	−	0.570210i	$-0.806862\pi$
$73$	1.25942	−	2.75775i	0.147404	−	0.322770i	0.968903	+	0.247440i	$0.0795893\pi$
$74$	0.283640	−	0.0832842i	0.0329725	−	0.00968159i
$75$	−2.06284	−	4.51699i	−0.238196	−	0.521577i
$76$	1.52771	+	1.76307i	0.175240	+	0.202238i
$77$	0.885464	+	6.15854i	0.100908	+	0.701831i
$78$	9.40143	+	2.76051i	1.06450	+	0.312566i
$79$	−0.500711	+	0.577852i	−0.0563344	+	0.0650134i	−0.783217	−	0.621748i	$-0.786423\pi$
$79$	−0.500711	+	0.577852i	−0.0563344	+	0.0650134i	0.726883	+	0.686761i	$0.240968\pi$
$80$	0.739575	+	0.475296i	0.0826870	+	0.0531397i
$81$	0.841254	+	0.540641i	0.0934726	+	0.0600712i
$82$	0.488939	−	0.564266i	0.0539943	−	0.0623127i
$83$	−6.26498	−	1.83956i	−0.687670	−	0.201918i	−0.0808134	−	0.996729i	$-0.525752\pi$
$83$	−6.26498	−	1.83956i	−0.687670	−	0.201918i	−0.606857	+	0.794811i	$0.707570\pi$
$84$	0.0710113	+	0.493895i	0.00774797	+	0.0538883i
$85$	−0.593237	−	0.684632i	−0.0643456	−	0.0742588i
$86$	−2.27365	−	4.97860i	−0.245174	−	0.536856i
$87$	1.79490	−	0.527029i	0.192433	−	0.0565035i
$88$	6.13299	−	13.4294i	0.653779	−	1.43158i
$89$	−0.342951	+	2.38527i	−0.0363527	+	0.252838i	−0.999892	−	0.0147301i	$-0.995311\pi$
$89$	−0.342951	+	2.38527i	−0.0363527	+	0.252838i	0.963539	+	0.267569i	$0.0862202\pi$
$90$	0.246186	−	0.158214i	0.0259503	−	0.0166772i
$91$	−6.19828			−0.649756
$92$	2.39299		0.000961624i	0.249487		0.000100256i
$93$	9.45446			0.980382
$94$	5.22246	−	3.35627i	0.538655	−	0.346173i
$95$	−0.123174	+	0.856695i	−0.0126374	+	0.0878950i
$96$	1.14719	−	2.51200i	0.117085	−	0.256380i
$97$	11.4858	−	3.37254i	1.16621	−	0.342429i	0.359366	−	0.933197i	$-0.382993\pi$
$97$	11.4858	−	3.37254i	1.16621	−	0.342429i	0.806842	+	0.590767i	$0.201175\pi$
$98$	−0.656694	−	1.43796i	−0.0663361	−	0.145256i
$99$	−4.07446	−	4.70218i	−0.409498	−	0.472586i
$100$	0.352623	+	2.45255i	0.0352623	+	0.245255i
$101$	10.2851	+	3.01997i	1.02340	+	0.300498i	0.750026	−	0.661408i	$-0.230041\pi$
$101$	10.2851	+	3.01997i	1.02340	+	0.300498i	0.273378	+	0.961907i	$0.411859\pi$
$102$	−5.06586	+	5.84632i	−0.501595	+	0.578872i
$103$	2.11965	+	1.36222i	0.208856	+	0.134223i	0.640887	−	0.767635i	$-0.278567\pi$
$103$	2.11965	+	1.36222i	0.208856	+	0.134223i	−0.432031	+	0.901859i	$0.642203\pi$
$104$	12.3728	+	7.95150i	1.21325	+	0.779709i
$105$	−0.121228	+	0.139905i	−0.0118307	+	0.0136533i
$106$	13.0734	+	3.83871i	1.26980	+	0.372848i
$107$	2.24811	+	15.6360i	0.217333	+	1.51159i	0.747825	+	0.663895i	$0.231098\pi$
$107$	2.24811	+	15.6360i	0.217333	+	1.51159i	−0.530492	+	0.847690i	$0.677993\pi$
$108$	−0.326758	−	0.377099i	−0.0314423	−	0.0362864i
$109$	8.36149	+	18.3091i	0.800886	+	1.75370i	0.642452	+	0.766326i	$0.277917\pi$
$109$	8.36149	+	18.3091i	0.800886	+	1.75370i	0.158434	+	0.987370i	$0.449356\pi$
$110$	−1.74703	+	0.512973i	−0.166572	+	0.0489100i
$111$	0.0776832	−	0.170102i	0.00737336	−	0.0161454i
$112$	−0.675849	+	4.70063i	−0.0638618	+	0.444168i
$113$	1.71038	−	1.09919i	0.160899	−	0.103403i	−0.457714	−	0.889100i	$-0.651331\pi$
$113$	1.71038	−	1.09919i	0.160899	−	0.103403i	0.618612	+	0.785696i	$0.287695\pi$
$114$	7.39085			0.692217
$115$	0.581661	+	0.670728i	0.0542401	+	0.0625457i
$116$	−0.933416			−0.0866655
$117$	5.21433	−	3.35104i	0.482065	−	0.309804i
$118$	1.82788	−	12.7132i	0.168270	−	1.17034i
$119$	2.03285	−	4.45133i	0.186351	−	0.408053i
$120$	0.421470	−	0.123755i	0.0384748	−	0.0112972i
$121$	11.5118	+	25.2074i	1.04653	+	2.29158i
$122$	−13.8925	−	16.0328i	−1.25777	−	1.45154i
$123$	−0.0672164	−	0.467500i	−0.00606070	−	0.0421531i
$124$	−4.52643	−	1.32908i	−0.406486	−	0.119355i
$125$	−1.20813	+	1.39426i	−0.108058	+	0.124706i
$126$	1.32987	+	0.854653i	0.118474	+	0.0761385i
$127$	2.44362	+	1.57042i	0.216836	+	0.139352i	0.644550	−	0.764562i	$-0.277045\pi$
$127$	2.44362	+	1.57042i	0.216836	+	0.139352i	−0.427714	+	0.903914i	$0.640681\pi$
$128$	8.93004	−	10.3058i	0.789311	−	0.910914i
$129$	−3.32202	−	0.975434i	−0.292488	−	0.0858821i
$130$	−0.258142	−	1.79541i	−0.0226405	−	0.157468i
$131$	−7.98807	−	9.21873i	−0.697921	−	0.805444i	0.290549	−	0.956860i	$-0.406162\pi$
$131$	−7.98807	−	9.21873i	−0.697921	−	0.805444i	−0.988470	+	0.151416i	$0.951617\pi$
$132$	1.28968	+	2.82400i	0.112252	+	0.245797i
$133$	−4.48596	+	1.31720i	−0.388982	+	0.114215i
$134$	3.11673	−	6.82469i	0.269245	−	0.589564i
$135$	0.0263455	−	0.183237i	0.00226746	−	0.0157705i
$136$	−9.76832	+	6.27772i	−0.837627	+	0.538310i
$137$	3.06805			0.262121			0.131061	−	0.991374i	$-0.458162\pi$
$137$	3.06805			0.262121			0.131061	+	0.991374i	$0.458162\pi$
$138$	4.96241	−	5.73157i	0.422428	−	0.487904i
$139$	10.6027			0.899313			0.449656	−	0.893202i	$-0.351546\pi$
$139$	10.6027			0.899313			0.449656	+	0.893202i	$0.351546\pi$
$140$	0.0777070	−	0.0499392i	0.00656744	−	0.00422064i
$141$	0.558878	−	3.88708i	0.0470660	−	0.327351i
$142$	−7.91951	+	17.3413i	−0.664590	+	1.45525i
$143$	−37.0028	+	10.8650i	−3.09433	+	0.908576i
$144$	−1.97279	−	4.31982i	−0.164400	−	0.359985i
$145$	−0.226779	−	0.261717i	−0.0188329	−	0.0217344i
$146$	0.682055	+	4.74380i	0.0564473	+	0.392599i
$147$	−0.959493	−	0.281733i	−0.0791376	−	0.0232369i
$148$	−0.0611042	+	0.0705180i	−0.00502274	+	0.00579655i
$149$	11.6881	+	7.51147i	0.957525	+	0.615364i	0.923312	−	0.384051i	$-0.125471\pi$
$149$	11.6881	+	7.51147i	0.957525	+	0.615364i	0.0342130	+	0.999415i	$0.489108\pi$
$150$	6.60375	+	4.24397i	0.539194	+	0.346519i
$151$	14.8835	−	17.1765i	1.21120	−	1.39780i	0.318033	−	0.948080i	$-0.396978\pi$
$151$	14.8835	−	17.1765i	1.21120	−	1.39780i	0.893169	−	0.449722i	$-0.148477\pi$
$152$	10.6445	+	3.12550i	0.863382	+	0.253512i
$153$	0.696424	+	4.84374i	0.0563026	+	0.391593i
$154$	−6.44096	−	7.43327i	−0.519028	−	0.598990i
$155$	−0.727067	−	1.59205i	−0.0583994	−	0.127877i
$156$	−2.96750	+	0.871337i	−0.237590	+	0.0697628i
$157$	7.85593	−	17.2021i	0.626971	−	1.37288i	−0.283367	−	0.959012i	$-0.591451\pi$
$157$	7.85593	−	17.2021i	0.626971	−	1.37288i	0.910339	−	0.413864i	$-0.135821\pi$
$158$	0.172016	−	1.19640i	0.0136849	−	0.0951804i
$159$	7.25093	−	4.65989i	0.575036	−	0.369553i
$160$	−0.511222			−0.0404156
$161$	−1.99051	+	4.36324i	−0.156874	+	0.343872i
$162$	−1.58081			−0.124200
$163$	−3.93746	+	2.53045i	−0.308406	+	0.198200i	−0.685683	−	0.727900i	$-0.740497\pi$
$163$	−3.93746	+	2.53045i	−0.308406	+	0.198200i	0.377278	+	0.926100i	$0.376860\pi$
$164$	−0.0335392	+	0.233270i	−0.00261897	+	0.0182154i
$165$	−0.478474	+	1.04771i	−0.0372492	+	0.0815643i
$166$	9.90376	−	2.90801i	0.768681	−	0.225705i
$167$	−1.20499	−	2.63855i	−0.0932447	−	0.204177i	0.857263	−	0.514879i	$-0.172163\pi$
$167$	−1.20499	−	2.63855i	−0.0932447	−	0.204177i	−0.950507	+	0.310702i	$0.899436\pi$
$168$	1.55388	+	1.79328i	0.119885	+	0.138354i
$169$	−3.61746	−	25.1600i	−0.278266	−	1.93538i
$170$	1.37405	+	0.403457i	0.105385	+	0.0309437i
$171$	3.06170	−	3.53339i	0.234134	−	0.270205i
$172$	1.45333	+	0.934001i	0.110816	+	0.0712169i
$173$	8.42630	+	5.41525i	0.640640	+	0.411714i	0.820235	−	0.572026i	$-0.193843\pi$
$173$	8.42630	+	5.41525i	0.640640	+	0.411714i	−0.179596	+	0.983741i	$0.557479\pi$
$174$	−1.93655	+	2.23489i	−0.146809	+	0.169427i
$175$	−4.76458	−	1.39901i	−0.360169	−	0.105755i
$176$	4.20505	+	29.2467i	0.316967	+	2.20456i
$177$	−5.32066	−	6.14037i	−0.399925	−	0.461538i
$178$	−1.58250	−	3.46520i	−0.118614	−	0.259727i
$179$	5.03996	−	1.47987i	0.376704	−	0.110610i	−0.0878988	−	0.996129i	$-0.528015\pi$
$179$	5.03996	−	1.47987i	0.376704	−	0.110610i	0.464603	+	0.885519i	$0.346197\pi$
$180$	−0.0383721	+	0.0840231i	−0.00286009	+	0.00626271i
$181$	−1.31317	+	9.13329i	−0.0976070	+	0.678872i	0.880997	+	0.473121i	$0.156873\pi$
$181$	−1.31317	+	9.13329i	−0.0976070	+	0.678872i	−0.978604	+	0.205751i	$0.934036\pi$
$182$	8.24288	−	5.29738i	0.611003	−	0.392668i
$183$	−13.4199			−0.992031
$184$	9.57079	−	6.15621i	0.705568	−	0.453842i
$185$	−0.0346179			−0.00254516
$186$	−12.5732	+	8.08028i	−0.921909	+	0.592475i
$187$	4.33306	−	30.1371i	0.316865	−	2.20384i
$188$	−0.814004	+	1.78242i	−0.0593674	+	0.129996i
$189$	0.959493	−	0.281733i	0.0697928	−	0.0204930i
$190$	−0.568372	−	1.24456i	−0.0412340	−	0.0902899i
$191$	−4.21395	−	4.86316i	−0.304911	−	0.351886i	0.582529	−	0.812810i	$-0.302063\pi$
$191$	−4.21395	−	4.86316i	−0.304911	−	0.351886i	−0.887439	+	0.460924i	$0.847518\pi$
$192$	−0.730422	−	5.08020i	−0.0527137	−	0.366632i
$193$	−18.8923	−	5.54727i	−1.35990	−	0.399301i	−0.481169	−	0.876628i	$-0.659788\pi$
$193$	−18.8923	−	5.54727i	−1.35990	−	0.399301i	−0.878726	+	0.477326i	$0.841606\pi$
$194$	−12.3922	+	14.3014i	−0.889711	+	1.02678i
$195$	−0.965281	−	0.620348i	−0.0691252	−	0.0444241i
$196$	0.419763	+	0.269765i	0.0299831	+	0.0192690i
$197$	−9.48678	+	10.9483i	−0.675905	+	0.780036i	−0.985288	−	0.170902i	$-0.945332\pi$
$197$	−9.48678	+	10.9483i	−0.675905	+	0.780036i	0.309383	+	0.950937i	$0.399877\pi$
$198$	9.43721	+	2.77101i	0.670673	+	0.196927i
$199$	1.27053	+	8.83674i	0.0900656	+	0.626420i	0.983993	+	0.178208i	$0.0570300\pi$
$199$	1.27053	+	8.83674i	0.0900656	+	0.626420i	−0.893927	+	0.448212i	$0.852061\pi$
$200$	7.71616	+	8.90492i	0.545615	+	0.629673i
$201$	−1.97160	−	4.31720i	−0.139066	−	0.304512i
$202$	−16.2588	+	4.77401i	−1.14397	+	0.335898i
$203$	0.777106	−	1.70162i	0.0545421	−	0.119431i
$204$	0.347497	−	2.41690i	0.0243297	−	0.169217i
$205$	−0.0735542	+	0.0472704i	−0.00513725	+	0.00330151i
$206$	−3.98308			−0.277514
$207$	−0.684426	−	4.74674i	−0.0475709	−	0.329921i
$208$	−29.4355			−2.04098
$209$	−24.4716	+	15.7269i	−1.69273	+	1.08785i
$210$	0.0416473	−	0.289663i	0.00287394	−	0.0199887i
$211$	−3.52389	+	7.71625i	−0.242595	+	0.531208i	−0.991289	−	0.131707i	$-0.957954\pi$
$211$	−3.52389	+	7.71625i	−0.242595	+	0.531208i	0.748694	+	0.662916i	$0.230681\pi$
$212$	−4.12654	+	1.21166i	−0.283412	+	0.0832173i
$213$	5.00976	+	10.9699i	0.343263	+	0.751642i
$214$	−16.3530	−	18.8724i	−1.11787	−	1.29009i
$215$	0.0912150	+	0.634415i	0.00622081	+	0.0432667i
$216$	−2.27673	−	0.668507i	−0.154912	−	0.0454862i
$217$	6.19135	−	7.14520i	0.420296	−	0.485048i
$218$	−26.7676	−	17.2025i	−1.81293	−	1.16510i
$219$	2.55044	+	1.63907i	0.172343	+	0.110758i
$220$	0.376360	−	0.434342i	0.0253742	−	0.0292833i
$221$	29.1029	+	8.54540i	1.95768	+	0.574825i
$222$	0.0420703	+	0.292605i	0.00282357	+	0.0196384i
$223$	−3.61306	−	4.16970i	−0.241949	−	0.279223i	0.621768	−	0.783202i	$-0.286415\pi$
$223$	−3.61306	−	4.16970i	−0.241949	−	0.279223i	−0.863716	+	0.503978i	$0.831869\pi$
$224$	−1.14719	−	2.51200i	−0.0766500	−	0.167840i
$225$	4.76458	−	1.39901i	0.317639	−	0.0932672i
$226$	−1.33515	+	2.92356i	−0.0888125	+	0.194472i
$227$	1.95420	−	13.5918i	0.129705	−	0.902119i	−0.816222	−	0.577739i	$-0.803935\pi$
$227$	1.95420	−	13.5918i	0.129705	−	0.902119i	0.945927	−	0.324380i	$-0.105156\pi$
$228$	−1.96254	+	1.26125i	−0.129972	+	0.0835281i
$229$	−13.0685			−0.863591			−0.431796	−	0.901971i	$-0.642120\pi$
$229$	−13.0685			−0.863591			−0.431796	+	0.901971i	$0.642120\pi$
$230$	−1.34677	−	0.394859i	−0.0888034	−	0.0260363i
$231$	−6.22187			−0.409369
$232$	−3.73417	+	2.39980i	−0.245160	+	0.157555i
$233$	−1.27155	+	8.84380i	−0.0833018	+	0.579377i	0.904831	+	0.425772i	$0.139997\pi$
$233$	−1.27155	+	8.84380i	−0.0833018	+	0.579377i	−0.988132	+	0.153605i	$0.950912\pi$
$234$	−4.07037	+	8.91288i	−0.266089	+	0.582653i
$235$	−0.697532	+	0.204814i	−0.0455020	+	0.0133606i
$236$	1.68413	+	3.68773i	0.109628	+	0.240051i
$237$	−0.500711	−	0.577852i	−0.0325247	−	0.0375355i
$238$	1.10092	+	7.65705i	0.0713619	+	0.496333i
$239$	24.2736	+	7.12738i	1.57013	+	0.461032i	0.947039	−	0.321118i	$-0.104059\pi$
$239$	24.2736	+	7.12738i	1.57013	+	0.461032i	0.623090	+	0.782150i	$0.285877\pi$
$240$	−0.575711	+	0.664405i	−0.0371620	+	0.0428872i
$241$	5.78073	+	3.71505i	0.372370	+	0.239307i	0.713419	−	0.700738i	$-0.247146\pi$
$241$	5.78073	+	3.71505i	0.372370	+	0.239307i	−0.341049	+	0.940046i	$0.610782\pi$
$242$	−36.8528	−	23.6839i	−2.36899	−	1.52246i
$243$	−0.654861	+	0.755750i	−0.0420093	+	0.0484814i
$244$	6.42495	+	1.88654i	0.411316	+	0.120773i
$245$	0.0263455	+	0.183237i	0.00168315	+	0.0117066i
$246$	0.488939	+	0.564266i	0.0311736	+	0.0359763i
$247$	−12.0384	−	26.3603i	−0.765982	−	1.67727i
$248$	−21.5252	+	6.32038i	−1.36685	+	0.401344i
$249$	2.71244	−	5.93941i	0.171894	−	0.376395i
$250$	0.415046	−	2.88670i	0.0262498	−	0.182571i
$251$	10.1818	−	6.54343i	0.642668	−	0.413018i	−0.178312	−	0.983974i	$-0.557064\pi$
$251$	10.1818	−	6.54343i	0.642668	−	0.413018i	0.820981	+	0.570956i	$0.193427\pi$
$252$	−0.498974			−0.0314324
$253$	−4.23467	+	29.5370i	−0.266231	+	1.85698i
$254$	−4.59185			−0.288119
$255$	0.762090	−	0.489766i	0.0477239	−	0.0306703i
$256$	−1.60701	+	11.1770i	−0.100438	+	0.698564i
$257$	−8.09009	+	17.7148i	−0.504646	+	1.10502i	0.470286	+	0.882514i	$0.344151\pi$
$257$	−8.09009	+	17.7148i	−0.504646	+	1.10502i	−0.974931	+	0.222506i	$0.928576\pi$
$258$	5.25150	−	1.54198i	0.326944	−	0.0959994i
$259$	−0.0776832	−	0.170102i	−0.00482700	−	0.0105696i
$260$	0.374933	+	0.432695i	0.0232523	+	0.0268346i
$261$	0.266224	+	1.85163i	0.0164789	+	0.114613i
$262$	18.5019	+	5.43264i	1.14305	+	0.335630i
$263$	10.2868	−	11.8716i	0.634313	−	0.732037i	−0.344045	−	0.938953i	$-0.611797\pi$
$263$	10.2868	−	11.8716i	0.634313	−	0.732037i	0.978359	+	0.206916i	$0.0663428\pi$
$264$	12.4199	+	7.98177i	0.764390	+	0.491244i
$265$	−1.34230	−	0.862644i	−0.0824568	−	0.0529918i
$266$	4.83998	−	5.58563i	0.296758	−	0.342477i
$267$	−2.31219	−	0.678920i	−0.141504	−	0.0415492i
$268$	0.337027	+	2.34407i	0.0205872	+	0.143187i
$269$	−16.5420	−	19.0905i	−1.00859	−	1.16397i	−0.986425	−	0.164215i	$-0.947491\pi$
$269$	−16.5420	−	19.0905i	−1.00859	−	1.16397i	−0.0221610	−	0.999754i	$-0.507055\pi$
$270$	0.121568	+	0.266196i	0.00739838	+	0.0162002i
$271$	0.169394	−	0.0497386i	0.0102900	−	0.00302141i	−0.276584	−	0.960990i	$-0.589202\pi$
$271$	0.169394	−	0.0497386i	0.0102900	−	0.00302141i	0.286873	+	0.957968i	$0.407384\pi$
$272$	9.65396	−	21.1392i	0.585358	−	1.28175i
$273$	0.882107	−	6.13519i	0.0533876	−	0.371319i
$274$	−4.08009	+	2.62212i	−0.246488	+	0.158408i
$275$	−30.8961			−1.86311
$276$	−0.339607	+	2.36877i	−0.0204419	+	0.142583i
$277$	24.9032			1.49629			0.748145	−	0.663536i	$-0.230945\pi$
$277$	24.9032			1.49629			0.748145	+	0.663536i	$0.230945\pi$
$278$	−14.1002	+	9.06166i	−0.845675	+	0.543482i
$279$	−1.34551	+	9.35823i	−0.0805536	+	0.560262i
$280$	0.182476	−	0.399568i	0.0109051	−	0.0238787i
$281$	27.6536	−	8.11984i	1.64968	−	0.484389i	0.680911	−	0.732366i	$-0.261584\pi$
$281$	27.6536	−	8.11984i	1.64968	−	0.484389i	0.968766	+	0.247977i	$0.0797657\pi$
$282$	2.57887	+	5.64694i	0.153570	+	0.336271i
$283$	9.50356	+	10.9677i	0.564928	+	0.651962i	0.964295	−	0.264829i	$-0.0853156\pi$
$283$	9.50356	+	10.9677i	0.564928	+	0.651962i	−0.399367	+	0.916791i	$0.630770\pi$
$284$	−0.856373	−	5.95620i	−0.0508164	−	0.353436i
$285$	−0.830445	−	0.243841i	−0.0491913	−	0.0144439i
$286$	39.9229	−	46.0735i	2.36069	−	2.72438i
$287$	−0.397331	−	0.255349i	−0.0234537	−	0.0150728i
$288$	2.32317	+	1.49301i	0.136894	+	0.0879764i
$289$	−4.54919	+	5.25005i	−0.267599	+	0.308826i
$290$	0.525262	+	0.154231i	0.0308444	+	0.00905675i
$291$	1.70361	+	11.8489i	0.0998674	+	0.694593i
$292$	−0.990638	−	1.14326i	−0.0579727	−	0.0669041i
$293$	−9.09836	−	19.9226i	−0.531532	−	1.16389i	−0.964886	−	0.262669i	$-0.915397\pi$
$293$	−9.09836	−	19.9226i	−0.531532	−	1.16389i	0.433354	−	0.901224i	$-0.357330\pi$
$294$	1.51678	−	0.445367i	0.0884604	−	0.0259743i
$295$	−0.624819	+	1.36816i	−0.0363784	+	0.0796575i
$296$	−0.0631487	+	0.439209i	−0.00367044	+	0.0255285i
$297$	5.23417	−	3.36380i	0.303717	−	0.195187i
$298$	−21.9633			−1.27230
$299$	−28.5252	−	8.36330i	−1.64965	−	0.483662i
$300$	−2.47777			−0.143054
$301$	−2.91265	+	1.87184i	−0.167882	+	0.107891i
$302$	−5.11313	+	35.5626i	−0.294228	+	2.04640i
$303$	−4.45295	+	9.75060i	−0.255815	+	0.560158i
$304$	−21.3037	+	6.25533i	−1.22185	+	0.358768i
$305$	1.03202	+	2.25981i	0.0590933	+	0.129396i
$306$	−5.06586	−	5.84632i	−0.289596	−	0.334212i
$307$	1.55791	+	10.8355i	0.0889145	+	0.618414i	0.984743	+	0.174014i	$0.0556739\pi$
$307$	1.55791	+	10.8355i	0.0889145	+	0.618414i	−0.895829	+	0.444400i	$0.853417\pi$
$308$	2.97879	+	0.874653i	0.169732	+	0.0498380i
$309$	−1.65001	+	1.90421i	−0.0938658	+	0.108327i
$310$	2.32756	+	1.49583i	0.132196	+	0.0849574i
$311$	−0.991237	−	0.637029i	−0.0562079	−	0.0361226i	0.512235	−	0.858845i	$-0.328818\pi$
$311$	−0.991237	−	0.637029i	−0.0562079	−	0.0361226i	−0.568443	+	0.822723i	$0.692454\pi$
$312$	−9.63140	+	11.1152i	−0.545271	+	0.629276i
$313$	−10.0803	−	2.95985i	−0.569774	−	0.167301i	−0.0158592	−	0.999874i	$-0.505048\pi$
$313$	−10.0803	−	2.95985i	−0.569774	−	0.167301i	−0.553914	+	0.832574i	$0.686867\pi$
$314$	4.25448	+	29.5906i	0.240094	+	1.66989i
$315$	−0.121228	−	0.139905i	−0.00683045	−	0.00788276i
$316$	0.158489	+	0.347042i	0.00891568	+	0.0195226i
$317$	12.9281	−	3.79602i	0.726112	−	0.213206i	0.102270	−	0.994757i	$-0.467389\pi$
$317$	12.9281	−	3.79602i	0.726112	−	0.213206i	0.623841	+	0.781551i	$0.285571\pi$
$318$	−5.66018	+	12.3941i	−0.317407	+	0.695024i
$319$	1.65641	−	11.5206i	0.0927414	−	0.645031i
$320$	−0.799293	+	0.513675i	−0.0446819	+	0.0287153i
$321$	−15.7967			−0.881688
$322$	−1.08195	−	7.50372i	−0.0602947	−	0.418166i
$323$	22.8790			1.27302
$324$	0.419763	−	0.269765i	0.0233202	−	0.0149870i
$325$	4.38031	−	30.4657i	0.242976	−	1.68993i
$326$	3.07363	−	6.73032i	0.170233	−	0.372758i
$327$	−19.3127	+	5.67073i	−1.06800	+	0.313592i
$328$	0.465561	+	1.01944i	0.0257063	+	0.0562889i
$329$	−2.57167	−	2.96787i	−0.141781	−	0.163624i
$330$	−0.259124	−	1.80225i	−0.0142643	−	0.0992104i
$331$	−6.91964	−	2.03179i	−0.380338	−	0.111677i	0.0859747	−	0.996297i	$-0.472600\pi$
$331$	−6.91964	−	2.03179i	−0.380338	−	0.111677i	−0.466312	+	0.884620i	$0.654418\pi$
$332$	−2.13356	+	2.46226i	−0.117094	+	0.135134i
$333$	0.157316	+	0.101101i	0.00862084	+	0.00554028i
$334$	3.85752	+	2.47908i	0.211074	+	0.135649i
$335$	−0.575362	+	0.664003i	−0.0314354	+	0.0362784i
$336$	−4.55661	−	1.33794i	−0.248583	−	0.0729906i
$337$	−0.0600013	−	0.417318i	−0.00326848	−	0.0227328i	0.988122	−	0.153672i	$-0.0491099\pi$
$337$	−0.0600013	−	0.417318i	−0.00326848	−	0.0227328i	−0.991390	+	0.130939i	$0.958201\pi$
$338$	26.3138	+	30.3677i	1.43128	+	1.65179i
$339$	0.844593	+	1.84940i	0.0458720	+	0.100446i
$340$	−0.433709	+	0.127349i	−0.0235212	+	0.00690644i
$341$	24.4365	−	53.5086i	1.32331	−	2.89765i
$342$	−1.05183	+	7.31562i	−0.0568763	+	0.395584i
$343$	−0.841254	+	0.540641i	−0.0454234	+	0.0291919i
$344$	8.21542			0.442946
$345$	−0.746679	+	0.480286i	−0.0401999	+	0.0258577i
$346$	−15.8340			−0.851241
$347$	−8.92582	+	5.73628i	−0.479163	+	0.307939i	−0.757834	−	0.652447i	$-0.773742\pi$
$347$	−8.92582	+	5.73628i	−0.479163	+	0.307939i	0.278671	+	0.960387i	$0.410106\pi$
$348$	0.132839	−	0.923915i	0.00712092	−	0.0495271i
$349$	5.01844	−	10.9889i	0.268631	−	0.588220i	−0.726457	−	0.687212i	$-0.758835\pi$
$349$	5.01844	−	10.9889i	0.268631	−	0.588220i	0.995088	+	0.0989919i	$0.0315618\pi$
$350$	7.53192	−	2.21157i	0.402598	−	0.118213i
$351$	2.57486	+	5.63816i	0.137436	+	0.300942i
$352$	−11.2518	−	12.9853i	−0.599725	−	0.692120i
$353$	4.89296	+	34.0313i	0.260426	+	1.81130i	0.529641	+	0.848222i	$0.322327\pi$
$353$	4.89296	+	34.0313i	0.260426	+	1.81130i	−0.269215	+	0.963080i	$0.586764\pi$
$354$	12.3236	+	3.61855i	0.654994	+	0.192324i
$355$	1.46197	−	1.68721i	0.0775935	−	0.0895477i
$356$	1.01155	+	0.650081i	0.0536118	+	0.0344542i
$357$	4.11671	+	2.64565i	0.217880	+	0.140023i
$358$	−5.43770	+	6.27544i	−0.287391	+	0.331667i
$359$	12.0582	+	3.54060i	0.636407	+	0.186866i	0.583992	−	0.811759i	$-0.301490\pi$
$359$	12.0582	+	3.54060i	0.636407	+	0.186866i	0.0524150	+	0.998625i	$0.483308\pi$
$360$	0.0625137	+	0.434792i	0.00329476	+	0.0229156i
$361$	−1.87215	−	2.16058i	−0.0985344	−	0.113715i
$362$	−6.05945	−	13.2683i	−0.318478	−	0.697369i
$363$	−26.5892	+	7.80728i	−1.39557	+	0.409776i
$364$	−1.28479	+	2.81329i	−0.0673411	+	0.147457i
$365$	0.0798719	−	0.555521i	0.00418069	−	0.0290773i
$366$	17.8467	−	11.4694i	0.932863	−	0.599515i
$367$	19.9358			1.04064			0.520320	−	0.853971i	$-0.325813\pi$
$367$	19.9358			1.04064			0.520320	+	0.853971i	$0.325813\pi$
$368$	−9.45286	+	20.7209i	−0.492765	+	1.08015i
$369$	0.472308			0.0245874
$370$	0.0460371	−	0.0295863i	0.00239336	−	0.00153812i
$371$	1.22664	−	8.53147i	0.0636840	−	0.442932i
$372$	1.95973	−	4.29121i	0.101607	−	0.222489i
$373$	15.8792	−	4.66255i	0.822193	−	0.241418i	0.156533	−	0.987673i	$-0.449968\pi$
$373$	15.8792	−	4.66255i	0.822193	−	0.241418i	0.665660	+	0.746255i	$0.268150\pi$
$374$	19.9944	+	43.7816i	1.03388	+	2.26389i
$375$	−1.20813	−	1.39426i	−0.0623876	−	0.0719991i
$376$	1.32613	+	9.22344i	0.0683900	+	0.475663i
$377$	11.1253	+	3.26668i	0.572981	+	0.168242i
$378$	−1.03521	+	1.19470i	−0.0532456	+	0.0614487i
$379$	10.5366	+	6.77148i	0.541231	+	0.347828i	0.782520	−	0.622625i	$-0.213934\pi$
$379$	10.5366	+	6.77148i	0.541231	+	0.347828i	−0.241289	+	0.970453i	$0.577570\pi$
$380$	0.363307	+	0.233483i	0.0186373	+	0.0119774i
$381$	−1.90220	+	2.19526i	−0.0974526	+	0.112466i
$382$	9.76030	+	2.86588i	0.499381	+	0.146631i
$383$	−4.57293	−	31.8054i	−0.233666	−	1.62518i	−0.682026	−	0.731328i	$-0.738901\pi$
$383$	−4.57293	−	31.8054i	−0.233666	−	1.62518i	0.448360	−	0.893853i	$-0.352008\pi$
$384$	8.93004	+	10.3058i	0.455709	+	0.525916i
$385$	0.478474	+	1.04771i	0.0243853	+	0.0533964i
$386$	29.8652	−	8.76920i	1.52010	−	0.446341i
$387$	1.43828	−	3.14939i	0.0731118	−	0.160092i
$388$	0.850056	−	5.91227i	0.0431551	−	0.300150i
$389$	2.45943	−	1.58058i	0.124698	−	0.0801387i	−0.476805	−	0.879009i	$-0.658205\pi$
$389$	2.45943	−	1.58058i	0.124698	−	0.0801387i	0.601503	+	0.798871i	$0.294569\pi$
$390$	1.81388			0.0918492
$391$	15.3616	−	17.7426i	0.776867	−	0.897281i
$392$	2.37284			0.119847
$393$	10.2617	−	6.59480i	0.517635	−	0.332664i
$394$	3.25912	−	22.6677i	0.164192	−	1.14198i
$395$	−0.0587998	+	0.128754i	−0.00295854	+	0.00647830i
$396$	−2.97879	+	0.874653i	−0.149690	+	0.0439529i
$397$	12.2550	+	26.8347i	0.615061	+	1.34679i	0.919058	+	0.394122i	$0.128951\pi$
$397$	12.2550	+	26.8347i	0.615061	+	1.34679i	−0.303998	+	0.952673i	$0.598321\pi$
$398$	−9.24198	−	10.6658i	−0.463259	−	0.534629i
$399$	−0.665371	−	4.62776i	−0.0333102	−	0.231678i
$400$	−22.6269	−	6.64385i	−1.13134	−	0.332192i
$401$	9.99420	−	11.5339i	0.499087	−	0.575977i	−0.449184	−	0.893439i	$-0.648285\pi$
$401$	9.99420	−	11.5339i	0.499087	−	0.575977i	0.948271	+	0.317463i	$0.102831\pi$
$402$	6.31167	+	4.05626i	0.314797	+	0.202308i
$403$	49.2986	+	31.6823i	2.45574	+	1.57821i
$404$	3.50261	−	4.04223i	0.174262	−	0.201109i
$405$	0.177622	+	0.0521546i	0.00882612	+	0.00259158i
$406$	0.420851	+	2.92709i	0.0208865	+	0.145269i
$407$	−0.761929	−	0.879313i	−0.0377674	−	0.0435859i
$408$	−4.82364	−	10.5623i	−0.238806	−	0.522912i
$409$	12.4498	−	3.65560i	0.615605	−	0.180758i	0.0409601	−	0.999161i	$-0.486958\pi$
$409$	12.4498	−	3.65560i	0.615605	−	0.180758i	0.574645	+	0.818403i	$0.305140\pi$
$410$	0.0574174	−	0.125727i	0.00283564	−	0.00620920i
$411$	−0.436629	+	3.03682i	−0.0215373	+	0.149795i
$412$	1.05765	−	0.679711i	0.0521067	−	0.0334869i
$413$	−8.12487			−0.399799
$414$	4.96701	+	5.72758i	0.244115	+	0.281495i
$415$	−1.20874			−0.0593348
$416$	14.3997	−	9.25409i	0.706001	−	0.453719i
$417$	−1.50893	+	10.4948i	−0.0738925	+	0.513934i
$418$	19.1028	−	41.8294i	0.934350	−	2.04594i
$419$	−4.31687	+	1.26755i	−0.210893	+	0.0619238i	−0.385473	−	0.922719i	$-0.625962\pi$
$419$	−4.31687	+	1.26755i	−0.210893	+	0.0619238i	0.174580	+	0.984643i	$0.444143\pi$
$420$	0.0383721	+	0.0840231i	0.00187237	+	0.00409991i
$421$	−17.7697	−	20.5073i	−0.866041	−	0.999464i	−0.999964	−	0.00847254i	$-0.997303\pi$
$421$	−17.7697	−	20.5073i	−0.866041	−	0.999464i	0.133923	−	0.990992i	$-0.457242\pi$
$422$	−1.90841	−	13.2733i	−0.0928999	−	0.646133i
$423$	3.76798	+	1.10638i	0.183206	+	0.0537940i
$424$	−13.3932	+	15.4566i	−0.650432	+	0.750639i
$425$	20.4425	+	13.1376i	0.991606	+	0.637267i
$426$	−16.0377	−	10.3068i	−0.777030	−	0.499367i
$427$	−8.78819	+	10.1421i	−0.425291	+	0.490811i
$428$	7.56288	+	2.22066i	0.365565	+	0.107340i
$429$	−5.48836	−	38.1724i	−0.264980	−	1.84298i
$430$	−0.663508	−	0.765729i	−0.0319972	−	0.0369267i
$431$	5.41904	+	11.8660i	0.261026	+	0.571567i	0.994086	−	0.108597i	$-0.0346357\pi$
$431$	5.41904	+	11.8660i	0.261026	+	0.571567i	−0.733060	+	0.680164i	$0.761908\pi$
$432$	4.55661	−	1.33794i	0.219230	−	0.0643717i
$433$	2.26448	−	4.95853i	0.108824	−	0.238292i	−0.847383	−	0.530982i	$-0.821823\pi$
$433$	2.26448	−	4.95853i	0.108824	−	0.238292i	0.956207	+	0.292690i	$0.0945505\pi$
$434$	−2.12700	+	14.7936i	−0.102099	+	0.710116i
$435$	0.291327	−	0.187224i	0.0139680	−	0.00897672i
$436$	10.0434			0.480990
$437$	−22.4222	+	0.00901035i	−1.07260	+	0.000431023i
$438$	−4.79258			−0.228998
$439$	−12.9032	+	8.29239i	−0.615836	+	0.395774i	−0.811042	−	0.584988i	$-0.801099\pi$
$439$	−12.9032	+	8.29239i	−0.615836	+	0.395774i	0.195205	+	0.980762i	$0.437463\pi$
$440$	0.388952	−	2.70522i	0.0185426	−	0.128966i
$441$	0.415415	−	0.909632i	0.0197817	−	0.0433158i
$442$	−46.0063	+	13.5087i	−2.18830	+	0.642542i
$443$	−6.17899	−	13.5301i	−0.293573	−	0.642834i	0.704167	−	0.710034i	$-0.251321\pi$
$443$	−6.17899	−	13.5301i	−0.293573	−	0.642834i	−0.997740	+	0.0672002i	$0.978593\pi$
$444$	−0.0611042	−	0.0705180i	−0.00289988	−	0.00334664i
$445$	0.0634873	+	0.441564i	0.00300959	+	0.0209321i
$446$	8.36853	+	2.45722i	0.396261	+	0.116353i
$447$	−9.09841	+	10.5001i	−0.430340	+	0.496639i
$448$	−4.31768	−	2.77481i	−0.203991	−	0.131097i
$449$	2.22403	+	1.42930i	0.104959	+	0.0674528i	0.592067	−	0.805889i	$-0.298312\pi$
$449$	2.22403	+	1.42930i	0.104959	+	0.0674528i	−0.487109	+	0.873341i	$0.661948\pi$
$450$	−5.14059	+	5.93256i	−0.242330	+	0.279663i
$451$	−2.81960	−	0.827910i	−0.132770	−	0.0389848i
$452$	−0.144375	−	1.00415i	−0.00679085	−	0.0472314i
$453$	14.8835	+	17.1765i	0.699288	+	0.807021i
$454$	9.01743	+	19.7454i	0.423209	+	0.926699i
$455$	−1.10095	+	0.323269i	−0.0516135	+	0.0151551i
$456$	−4.60856	+	10.0913i	−0.215816	+	0.472570i
$457$	−4.83502	+	33.6283i	−0.226173	+	1.57307i	0.487840	+	0.872933i	$0.337785\pi$
$457$	−4.83502	+	33.6283i	−0.226173	+	1.57307i	−0.714012	+	0.700133i	$0.753124\pi$
$458$	17.3794	−	11.1690i	0.812084	−	0.521895i
$459$	−4.89355			−0.228411
$460$	0.424999	−	0.124976i	0.0198157	−	0.00582705i
$461$	−16.5768			−0.772059			−0.386029	−	0.922486i	$-0.626154\pi$
$461$	−16.5768			−0.772059			−0.386029	+	0.922486i	$0.626154\pi$
$462$	8.27425	−	5.31754i	0.384953	−	0.247394i
$463$	−4.09559	+	28.4855i	−0.190338	+	1.32383i	0.640775	+	0.767729i	$0.278613\pi$
$463$	−4.09559	+	28.4855i	−0.190338	+	1.32383i	−0.831113	+	0.556103i	$0.812296\pi$
$464$	3.69045	−	8.08096i	0.171325	−	0.375149i
$465$	1.67932	−	0.493094i	0.0778767	−	0.0228667i
$466$	−5.86739	−	12.8478i	−0.271802	−	0.595163i
$467$	9.25474	+	10.6805i	0.428258	+	0.494236i	0.928335	−	0.371745i	$-0.121240\pi$
$467$	9.25474	+	10.6805i	0.428258	+	0.494236i	−0.500077	+	0.865981i	$0.666695\pi$
$468$	−0.440148	−	3.06130i	−0.0203459	−	0.141509i
$469$	−4.55385	−	1.33713i	−0.210277	−	0.0617429i
$470$	0.752579	−	0.868523i	0.0347139	−	0.0400620i
$471$	15.9090	+	10.2241i	0.733047	+	0.471101i
$472$	16.2186	+	10.4230i	0.746520	+	0.479759i
$473$	−14.1069	+	16.2802i	−0.648635	+	0.748564i
$474$	1.15974	+	0.340531i	0.0532687	+	0.0156411i
$475$	−3.30405	−	22.9802i	−0.151600	−	1.05440i
$476$	−1.59901	−	1.84535i	−0.0732904	−	0.0845816i
$477$	3.58055	+	7.84030i	0.163942	+	0.358983i
$478$	−38.3721	+	11.2671i	−1.75510	+	0.515343i
$479$	−8.23567	+	18.0336i	−0.376297	+	0.823977i	0.622836	+	0.782353i	$0.285980\pi$
$479$	−8.23567	+	18.0336i	−0.376297	+	0.823977i	−0.999133	+	0.0416240i	$0.986747\pi$
$480$	0.0727544	−	0.506018i	0.00332077	−	0.0230965i
$481$	0.975086	−	0.626650i	0.0444601	−	0.0285728i
$482$	−10.8627			−0.494781
$483$	−4.03555	−	2.59120i	−0.183624	−	0.117904i
$484$	13.8274			0.628518
$485$	1.86424	−	1.19808i	0.0846509	−	0.0544018i
$486$	0.224973	−	1.56472i	0.0102050	−	0.0709773i
$487$	16.2319	−	35.5430i	0.735539	−	1.61061i	−0.0552176	−	0.998474i	$-0.517585\pi$
$487$	16.2319	−	35.5430i	0.735539	−	1.61061i	0.790756	−	0.612131i	$-0.209687\pi$
$488$	30.5535	−	8.97133i	1.38309	−	0.406113i
$489$	−1.94434	−	4.25750i	−0.0879259	−	0.192531i
$490$	−0.191640	−	0.221164i	−0.00865740	−	0.00999117i
$491$	−5.95190	−	41.3964i	−0.268606	−	1.86819i	−0.461733	−	0.887019i	$-0.652772\pi$
$491$	−5.95190	−	41.3964i	−0.268606	−	1.86819i	0.193127	−	0.981174i	$-0.438137\pi$
$492$	−0.226123	−	0.0663957i	−0.0101944	−	0.00299335i
$493$	−5.99474	+	6.91830i	−0.269990	+	0.311585i
$494$	38.5383	+	24.7671i	1.73392	+	1.11432i
$495$	−0.968955	−	0.622709i	−0.0435513	−	0.0279887i
$496$	29.4026	−	33.9324i	1.32021	−	1.52361i
$497$	11.5712	+	3.39760i	0.519037	+	0.152403i
$498$	1.46896	+	10.2168i	0.0658255	+	0.457826i
$499$	0.364132	+	0.420231i	0.0163008	+	0.0188121i	0.763841	−	0.645404i	$-0.223311\pi$
$499$	0.364132	+	0.420231i	0.0163008	+	0.0188121i	−0.747541	+	0.664216i	$0.768765\pi$
$500$	0.382406	+	0.837352i	0.0171017	+	0.0374475i
$501$	2.78319	−	0.817217i	0.124344	−	0.0365106i
$502$	−7.94803	+	17.4038i	−0.354738	+	0.776768i
$503$	3.69275	−	25.6836i	0.164652	−	1.14518i	−0.725071	−	0.688675i	$-0.758193\pi$
$503$	3.69275	−	25.6836i	0.164652	−	1.14518i	0.889722	−	0.456502i	$-0.150898\pi$
$504$	−1.99616	+	1.28286i	−0.0889162	+	0.0571430i
$505$	1.98436			0.0883031
$506$	−19.6124	−	42.8994i	−0.871876	−	1.90711i
$507$	25.4187			1.12888
$508$	1.21930	−	0.783598i	0.0540978	−	0.0347666i
$509$	−2.03175	+	14.1311i	−0.0900557	+	0.626351i	0.893944	+	0.448179i	$0.147927\pi$
$509$	−2.03175	+	14.1311i	−0.0900557	+	0.626351i	−0.983999	+	0.178172i	$0.942982\pi$
$510$	−0.594898	+	1.30264i	−0.0263425	+	0.0576821i
$511$	2.90891	−	0.854133i	0.128683	−	0.0377846i
$512$	3.91429	+	8.57109i	0.172989	+	0.378792i
$513$	3.06170	+	3.53339i	0.135177	+	0.156003i
$514$	−4.38129	−	30.4725i	−0.193250	−	1.34409i
$515$	0.447543	+	0.131411i	0.0197211	+	0.00579064i
$516$	−1.13132	+	1.30562i	−0.0498038	+	0.0574766i
$517$	−20.5549	−	13.2098i	−0.904002	−	0.580967i
$518$	0.248687	+	0.159821i	0.0109267	+	0.00702214i
$519$	−6.55932	+	7.56986i	−0.287922	+	0.332280i
$520$	2.61239	+	0.767067i	0.114561	+	0.0336381i
$521$	−2.04385	−	14.2153i	−0.0895428	−	0.622784i	−0.984336	−	0.176303i	$-0.943586\pi$
$521$	−2.04385	−	14.2153i	−0.0895428	−	0.622784i	0.894793	−	0.446481i	$-0.147323\pi$
$522$	−1.93655	−	2.23489i	−0.0847603	−	0.0978186i
$523$	4.48557	+	9.82203i	0.196140	+	0.429487i	0.981991	−	0.188929i	$-0.0605017\pi$
$523$	4.48557	+	9.82203i	0.196140	+	0.429487i	−0.785850	+	0.618417i	$0.787774\pi$
$524$	−5.83999	+	1.71478i	−0.255121	+	0.0749104i
$525$	2.06284	−	4.51699i	0.0900297	−	0.197137i
$526$	−3.53398	+	24.5794i	−0.154089	+	1.07171i
$527$	−38.9213	+	25.0132i	−1.69544	+	1.08959i
$528$	−29.5475			−1.28589
$529$	−15.0478	+	17.3943i	−0.654253	+	0.756276i
$530$	2.52234			0.109563
$531$	6.83507	−	4.39264i	0.296617	−	0.190624i
$532$	−0.332003	+	2.30913i	−0.0143941	+	0.100113i
$533$	1.21613	−	2.66294i	0.0526763	−	0.115345i
$534$	3.65514	−	1.07325i	0.158173	−	0.0464439i
$535$	1.21480	+	2.66004i	0.0525205	+	0.115004i
$536$	7.37487	+	8.51106i	0.318546	+	0.367622i
$537$	0.747542	+	5.19927i	0.0322588	+	0.224365i
$538$	38.3144	+	11.2501i	1.65185	+	0.485028i
$539$	−4.07446	+	4.70218i	−0.175499	+	0.202537i
$540$	−0.0777070	−	0.0499392i	−0.00334398	−	0.00214904i
$541$	26.2099	+	16.8441i	1.12685	+	0.724184i	0.964901	−	0.262615i	$-0.0845848\pi$
$541$	26.2099	+	16.8441i	1.12685	+	0.724184i	0.161951	+	0.986799i	$0.448221\pi$
$542$	−0.182762	+	0.210919i	−0.00785031	+	0.00905974i
$543$	−8.85344	−	2.59960i	−0.379937	−	0.111560i
$544$	1.92321	+	13.3763i	0.0824571	+	0.573502i
$545$	2.44009	+	2.81602i	0.104522	+	0.120625i
$546$	4.07037	+	8.91288i	0.174196	+	0.381436i
$547$	−10.8010	+	3.17146i	−0.461818	+	0.135602i	−0.504362	−	0.863493i	$-0.668272\pi$
$547$	−10.8010	+	3.17146i	−0.461818	+	0.135602i	0.0425434	+	0.999095i	$0.486454\pi$
$548$	0.635949	−	1.39253i	0.0271664	−	0.0594861i
$549$	1.90986	−	13.2833i	0.0815107	−	0.566919i
$550$	41.0877	−	26.4055i	1.75199	−	1.12593i
$551$	8.74604			0.372594
$552$	4.73148	+	10.3495i	0.201385	+	0.440504i
$553$	−0.764607			−0.0325144
$554$	−33.1179	+	21.2836i	−1.40705	+	0.904254i
$555$	0.00492664	−	0.0342655i	0.000209124	−	0.00145449i
$556$	2.19775	−	4.81240i	0.0932053	−	0.204091i
$557$	−29.4415	+	8.64480i	−1.24748	+	0.366292i	−0.837819	−	0.545948i	$-0.816170\pi$
$557$	−29.4415	+	8.64480i	−1.24748	+	0.366292i	−0.409657	+	0.912240i	$0.634351\pi$
$558$	−6.20869	−	13.5951i	−0.262835	−	0.575528i
$559$	−14.0534	−	16.2185i	−0.594395	−	0.685968i
$560$	0.125114	+	0.870186i	0.00528703	+	0.0367721i
$561$	29.2137	+	8.57792i	1.23340	+	0.362160i
$562$	−29.8360	+	34.4325i	−1.25855	+	1.45245i
$563$	−5.06769	−	3.25681i	−0.213578	−	0.137258i	0.429478	−	0.903077i	$-0.358697\pi$
$563$	−5.06769	−	3.25681i	−0.213578	−	0.137258i	−0.643056	+	0.765819i	$0.722334\pi$
$564$	−1.64843	−	1.05938i	−0.0694116	−	0.0446081i
$565$	0.246473	−	0.284445i	0.0103692	−	0.0119667i
$566$	−22.0120	−	6.46332i	−0.925235	−	0.271673i
$567$	0.142315	+	0.989821i	0.00597666	+	0.0415686i
$568$	−18.7393	−	21.6263i	−0.786283	−	0.907419i
$569$	−14.4557	−	31.6536i	−0.606016	−	1.32699i	−0.925266	−	0.379319i	$-0.876158\pi$
$569$	−14.4557	−	31.6536i	−0.606016	−	1.32699i	0.319251	−	0.947670i	$-0.396569\pi$
$570$	1.31278	−	0.385467i	0.0549863	−	0.0161454i
$571$	1.39089	−	3.04562i	0.0582069	−	0.127455i	−0.878293	−	0.478122i	$-0.841318\pi$
$571$	1.39089	−	3.04562i	0.0582069	−	0.127455i	0.936500	+	0.350667i	$0.114045\pi$
$572$	−2.73855	+	19.0470i	−0.114504	+	0.796395i
$573$	5.41337	−	3.47896i	0.226147	−	0.145336i
$574$	0.746631			0.0311638
$575$	−20.0395	−	12.8672i	−0.835703	−	0.536600i
$576$	5.13244			0.213852
$577$	−38.9487	+	25.0308i	−1.62145	+	1.04205i	−0.666408	+	0.745587i	$0.732169\pi$
$577$	−38.9487	+	25.0308i	−1.62145	+	1.04205i	−0.955046	+	0.296458i	$0.904194\pi$
$578$	1.56285	−	10.8698i	0.0650058	−	0.452125i
$579$	8.17946	−	17.9105i	0.339927	−	0.744336i
$580$	−0.165796	+	0.0486820i	−0.00688428	+	0.00202141i
$581$	−2.71244	−	5.93941i	−0.112531	−	0.246408i
$582$	−12.3922	−	14.3014i	−0.513675	−	0.592812i
$583$	−7.63200	−	53.0817i	−0.316085	−	2.19842i
$584$	−6.90239	−	2.02672i	−0.285623	−	0.0838664i
$585$	0.751408	−	0.867171i	0.0310669	−	0.0358531i
$586$	29.1265	+	18.7185i	1.20321	+	0.773253i
$587$	−3.72338	−	2.39287i	−0.153680	−	0.0987644i	0.461541	−	0.887119i	$-0.347297\pi$
$587$	−3.72338	−	2.39287i	−0.153680	−	0.0987644i	−0.615221	+	0.788355i	$0.710933\pi$
$588$	−0.326758	+	0.377099i	−0.0134753	+	0.0155513i
$589$	42.4123	+	12.4534i	1.74757	+	0.513133i
$590$	−0.338379	−	2.35347i	−0.0139308	−	0.0968910i
$591$	−9.48678	−	10.9483i	−0.390234	−	0.450354i
$592$	−0.368915	−	0.807812i	−0.0151623	−	0.0332009i
$593$	0.862156	−	0.253152i	0.0354045	−	0.0103957i	−0.263982	−	0.964528i	$-0.585036\pi$
$593$	0.862156	−	0.253152i	0.0354045	−	0.0103957i	0.299387	+	0.954132i	$0.403218\pi$
$594$	−4.08586	+	8.94680i	−0.167645	+	0.367091i
$595$	0.128923	−	0.896677i	0.00528532	−	0.0367602i
$596$	5.83204	−	3.74803i	0.238890	−	0.153525i
$597$	−8.92761			−0.365383
$598$	45.0824	−	13.2571i	1.84355	−	0.542121i
$599$	−25.6084			−1.04633			−0.523166	−	0.852231i	$-0.675249\pi$
$599$	−25.6084			−1.04633			−0.523166	+	0.852231i	$0.675249\pi$
$600$	−9.91241	+	6.37032i	−0.404672	+	0.260067i
$601$	−5.02268	+	34.9335i	−0.204879	+	1.42497i	0.584666	+	0.811274i	$0.301226\pi$
$601$	−5.02268	+	34.9335i	−0.204879	+	1.42497i	−0.789545	+	0.613693i	$0.789683\pi$
$602$	2.27365	−	4.97860i	0.0926671	−	0.202913i
$603$	4.55385	−	1.33713i	0.185447	−	0.0544521i
$604$	−4.71103	−	10.3157i	−0.191689	−	0.419740i
$605$	3.35944	+	3.87700i	0.136581	+	0.157623i
$606$	−2.41155	−	16.7727i	−0.0979626	−	0.681345i
$607$	−30.5471	−	8.96944i	−1.23987	−	0.364058i	−0.404903	−	0.914360i	$-0.632695\pi$
$607$	−30.5471	−	8.96944i	−1.23987	−	0.364058i	−0.834966	+	0.550301i	$0.814513\pi$
$608$	8.45506	−	9.75765i	0.342898	−	0.395725i
$609$	1.57371	+	1.01136i	0.0637699	+	0.0409825i
$610$	−3.30380	−	2.12322i	−0.133767	−	0.0859668i
$611$	15.9400	−	18.3957i	0.644862	−	0.744210i
$612$	2.34284	+	0.687921i	0.0947038	+	0.0278075i
$613$	−0.611806	−	4.25521i	−0.0247106	−	0.171866i	0.973729	−	0.227711i	$-0.0731240\pi$
$613$	−0.611806	−	4.25521i	−0.0247106	−	0.171866i	−0.998439	+	0.0558444i	$0.982215\pi$
$614$	−11.3324	−	13.0783i	−0.457338	−	0.527796i
$615$	−0.0363214	−	0.0795328i	−0.00146462	−	0.00320707i
$616$	14.1655	−	4.15937i	0.570744	−	0.167586i
$617$	5.17794	−	11.3381i	0.208456	−	0.456455i	−0.776307	−	0.630355i	$-0.782910\pi$
$617$	5.17794	−	11.3381i	0.208456	−	0.456455i	0.984763	+	0.173899i	$0.0556368\pi$
$618$	0.566851	−	3.94253i	0.0228021	−	0.158592i
$619$	19.1225	−	12.2893i	0.768599	−	0.493949i	−0.0966330	−	0.995320i	$-0.530807\pi$
$619$	19.1225	−	12.2893i	0.768599	−	0.493949i	0.865232	+	0.501371i	$0.167171\pi$
$620$	−0.873313			−0.0350731
$621$	4.79583	−	0.00192720i	0.192450	−	7.73360e-5i
$622$	1.86265			0.0746855
$623$	−2.02725	+	1.30284i	−0.0812202	+	0.0521971i
$624$	4.18910	−	29.1359i	0.167698	−	1.16637i
$625$	10.1723	−	22.2743i	0.406893	−	0.890971i
$626$	15.9351	−	4.67897i	0.636895	−	0.187009i
$627$	−12.0842	−	26.4606i	−0.482595	−	1.05674i
$628$	−6.17934	−	7.13134i	−0.246582	−	0.284571i
$629$	0.130232	+	0.905786i	0.00519270	+	0.0361160i
$630$	0.280788	+	0.0824467i	0.0111869	+	0.00328476i
$631$	7.58991	−	8.75922i	0.302150	−	0.348699i	−0.584289	−	0.811546i	$-0.698626\pi$
$631$	7.58991	−	8.75922i	0.302150	−	0.348699i	0.886438	+	0.462847i	$0.153172\pi$
$632$	1.52628	+	0.980881i	0.0607122	+	0.0390174i
$633$	−7.13621	−	4.58616i	−0.283639	−	0.182284i
$634$	−13.9483	+	16.0972i	−0.553958	+	0.639301i
$635$	0.515946	+	0.151496i	0.0204747	+	0.00601192i
$636$	−0.612061	−	4.25698i	−0.0242698	−	0.168800i
$637$	−4.05901	−	4.68435i	−0.160824	−	0.185601i
$638$	7.64332	+	16.7365i	0.302602	+	0.662605i
$639$	−11.5712	+	3.39760i	−0.457748	+	0.134407i
$640$	1.04868	−	2.29628i	0.0414526	−	0.0907686i
$641$	−5.70401	+	39.6723i	−0.225295	+	1.56696i	0.492254	+	0.870452i	$0.336173\pi$
$641$	−5.70401	+	39.6723i	−0.225295	+	1.56696i	−0.717548	+	0.696509i	$0.754736\pi$
$642$	21.0075	−	13.5007i	0.829102	−	0.532831i
$643$	−47.9840			−1.89230			−0.946152	−	0.323721i	$-0.895066\pi$
$643$	−47.9840			−1.89230			−0.946152	+	0.323721i	$0.895066\pi$
$644$	1.56780	+	1.80787i	0.0617801	+	0.0712402i
$645$	−0.640938			−0.0252369
$646$	−30.4260	+	19.5536i	−1.19710	+	0.769327i
$647$	0.442266	−	3.07603i	0.0173873	−	0.120931i	−0.979279	−	0.202515i	$-0.935089\pi$
$647$	0.442266	−	3.07603i	0.0173873	−	0.120931i	0.996667	+	0.0815835i	$0.0259977\pi$
$648$	0.985715	−	2.15841i	0.0387225	−	0.0847905i
$649$	−48.5042	+	14.2421i	−1.90396	+	0.559052i
$650$	20.2124	+	44.2589i	0.792795	+	1.73598i
$651$	6.19135	+	7.14520i	0.242658	+	0.280043i
$652$	0.332366	+	2.31166i	0.0130165	+	0.0905315i
$653$	−9.36336	−	2.74933i	−0.366417	−	0.107590i	0.0933407	−	0.995634i	$-0.470245\pi$
$653$	−9.36336	−	2.74933i	−0.366417	−	0.107590i	−0.459757	+	0.888045i	$0.652064\pi$
$654$	20.8368	−	24.0470i	0.814784	−	0.940311i
$655$	−1.89966	−	1.22084i	−0.0742258	−	0.0477020i
$656$	−1.88691	−	1.21264i	−0.0736715	−	0.0473458i
$657$	−1.98535	+	2.29122i	−0.0774559	+	0.0893889i
$658$	5.95648	+	1.74898i	0.232208	+	0.0681823i
$659$	−0.974496	−	6.77777i	−0.0379610	−	0.264024i	0.961998	−	0.273056i	$-0.0880343\pi$
$659$	−0.974496	−	6.77777i	−0.0379610	−	0.264024i	−0.999959	+	0.00903132i	$0.997125\pi$
$660$	0.376360	+	0.434342i	0.0146498	+	0.0169067i
$661$	−1.25316	−	2.74404i	−0.0487422	−	0.106731i	0.883694	−	0.468065i	$-0.155049\pi$
$661$	−1.25316	−	2.74404i	−0.0487422	−	0.106731i	−0.932436	+	0.361334i	$0.882321\pi$
$662$	10.9387	−	3.21188i	0.425143	−	0.124833i
$663$	−12.6002	+	27.5906i	−0.489351	+	1.07153i
$664$	−2.20494	+	15.3357i	−0.0855683	+	0.595141i
$665$	−0.728109	+	0.467927i	−0.0282348	+	0.0181454i
$666$	−0.295614			−0.0114548
$667$	5.87231	−	6.78252i	0.227377	−	0.262620i
$668$	−1.44736			−0.0560002
$669$	4.64145	−	2.98288i	0.179449	−	0.115325i
$670$	0.197662	−	1.37477i	0.00763635	−	0.0531120i
$671$	−34.6860	+	75.9517i	−1.33904	+	2.93208i
$672$	2.64969	−	0.778020i	0.102214	−	0.0300128i
$673$	4.06649	+	8.90438i	0.156752	+	0.343239i	0.971672	−	0.236335i	$-0.0759463\pi$
$673$	4.06649	+	8.90438i	0.156752	+	0.343239i	−0.814920	+	0.579574i	$0.803219\pi$
$674$	0.436456	+	0.503697i	0.0168116	+	0.0194017i
$675$	0.706697	+	4.91519i	0.0272008	+	0.189186i
$676$	−12.1695	−	3.57329i	−0.468058	−	0.137434i
$677$	22.1073	−	25.5131i	0.849651	−	0.980549i	−0.150316	−	0.988638i	$-0.548029\pi$
$677$	22.1073	−	25.5131i	0.849651	−	0.980549i	0.999967	+	0.00808855i	$0.00257469\pi$
$678$	−2.70379	−	1.73762i	−0.103838	−	0.0667329i
$679$	10.0704	+	6.47185i	0.386467	+	0.248367i
$680$	−1.40766	+	1.62453i	−0.0539813	+	0.0622977i
$681$	13.1753	+	3.86863i	0.504880	+	0.148246i
$682$	13.2339	+	92.0440i	0.506753	+	3.52455i
$683$	3.44736	+	3.97846i	0.131909	+	0.152232i	0.817862	−	0.575415i	$-0.195159\pi$
$683$	3.44736	+	3.97846i	0.131909	+	0.152232i	−0.685952	+	0.727647i	$0.740614\pi$
$684$	−0.969111	−	2.12206i	−0.0370549	−	0.0811389i
$685$	0.544954	−	0.160013i	0.0208216	−	0.00611378i
$686$	0.656694	−	1.43796i	0.0250727	−	0.0549015i
$687$	1.85984	−	12.9355i	0.0709574	−	0.493520i
$688$	−13.8321	+	8.88933i	−0.527343	+	0.338903i
$689$	53.4242			2.03530
$690$	0.582506	−	1.27687i	0.0221756	−	0.0486095i
$691$	21.5845			0.821113			0.410557	−	0.911835i	$-0.365334\pi$
$691$	21.5845			0.821113			0.410557	+	0.911835i	$0.365334\pi$
$692$	4.20450	−	2.70207i	0.159831	−	0.102717i
$693$	0.885464	−	6.15854i	0.0336360	−	0.233944i
$694$	6.96762	−	15.2569i	0.264487	−	0.579146i
$695$	1.88328	−	0.552982i	0.0714370	−	0.0209758i
$696$	−1.84395	−	4.03769i	−0.0698947	−	0.153048i
$697$	1.51355	+	1.74673i	0.0573299	+	0.0661623i
$698$	2.71780	+	18.9027i	0.102870	+	0.715478i
$699$	−8.57282	−	2.51721i	−0.324254	−	0.0952096i
$700$	−1.62259	+	1.87257i	−0.0613283	+	0.0707766i
$701$	−27.9603	−	17.9690i	−1.05605	−	0.678680i	−0.107142	−	0.994244i	$-0.534170\pi$
$701$	−27.9603	−	17.9690i	−1.05605	−	0.678680i	−0.948904	+	0.315564i	$0.897806\pi$
$702$	−8.24288	−	5.29738i	−0.311108	−	0.199937i
$703$	0.572542	−	0.660749i	0.0215938	−	0.0249206i
$704$	−30.6398	−	8.99667i	−1.15478	−	0.339075i
$705$	−0.103460	−	0.719581i	−0.00389653	−	0.0271010i
$706$	−35.5919	−	41.0752i	−1.33952	−	1.54589i
$707$	4.45295	+	9.75060i	0.167470	+	0.366709i
$708$	−3.88988	+	1.14217i	−0.146190	+	0.0429254i
$709$	−7.10175	+	15.5507i	−0.266712	+	0.584017i	−0.994844	−	0.101420i	$-0.967662\pi$
$709$	−7.10175	+	15.5507i	−0.266712	+	0.584017i	0.728132	+	0.685437i	$0.240389\pi$
$710$	−0.502252	+	3.49324i	−0.0188492	+	0.131099i
$711$	0.643228	−	0.413378i	0.0241230	−	0.0155029i
$712$	5.71808			0.214294
$713$	38.1343	−	24.5291i	1.42814	−	0.918620i
$714$	−7.73579			−0.289505
$715$	−6.00585	+	3.85973i	−0.224606	+	0.144346i
$716$	0.373004	−	2.59430i	0.0139398	−	0.0969534i
$717$	−10.5093	+	23.0122i	−0.392478	+	0.859407i
$718$	−19.0618	+	5.59704i	−0.711379	+	0.208880i
$719$	8.21151	+	17.9807i	0.306238	+	0.670567i	0.998705	−	0.0508827i	$-0.0162035\pi$
$719$	8.21151	+	17.9807i	0.306238	+	0.670567i	−0.692467	+	0.721449i	$0.743476\pi$
$720$	−0.575711	−	0.664405i	−0.0214555	−	0.0247609i
$721$	0.358582	+	2.49399i	0.0133543	+	0.0928810i
$722$	4.33626	+	1.27324i	0.161379	+	0.0473851i
$723$	−4.49992	+	5.19318i	−0.167354	+	0.193137i
$724$	3.87324	+	2.48918i	0.143948	+	0.0925097i
$725$	7.81462	+	5.02215i	0.290228	+	0.186518i
$726$	28.6875	−	33.1071i	1.06469	−	1.22872i
$727$	26.1395	+	7.67525i	0.969461	+	0.284659i	0.727867	−	0.685718i	$-0.240512\pi$
$727$	26.1395	+	7.67525i	0.969461	+	0.284659i	0.241594	+	0.970377i	$0.422330\pi$
$728$	2.09310	+	14.5579i	0.0775756	+	0.539550i
$729$	−0.654861	−	0.755750i	−0.0242541	−	0.0279907i
$730$	0.368559	+	0.807032i	0.0136410	+	0.0298696i
$731$	16.2565	−	4.77333i	0.601267	−	0.176548i
$732$	−2.78170	+	6.09108i	−0.102815	+	0.225133i
$733$	−0.508748	+	3.53842i	−0.0187910	+	0.130695i	−0.997058	−	0.0766571i	$-0.975575\pi$
$733$	−0.508748	+	3.53842i	−0.0187910	+	0.130695i	0.978266	+	0.207352i	$0.0664844\pi$
$734$	−26.5119	+	17.0382i	−0.978573	+	0.628891i
$735$	−0.185121			−0.00682829
$736$	−1.89008	−	13.1084i	−0.0696692	−	0.483182i
$737$	−29.5296			−1.08774
$738$	−0.628106	+	0.403659i	−0.0231209	+	0.0148589i
$739$	−0.973537	+	6.77110i	−0.0358121	+	0.249079i	−0.999861	−	0.0166444i	$-0.994702\pi$
$739$	−0.973537	+	6.77110i	−0.0358121	+	0.249079i	0.964049	+	0.265723i	$0.0856108\pi$
$740$	−0.00717563	+	0.0157124i	−0.000263781	+	0.000577601i
$741$	27.8053	−	8.16436i	1.02145	−	0.299925i
$742$	5.66018	+	12.3941i	0.207792	+	0.455000i
$743$	−4.45905	−	5.14602i	−0.163587	−	0.188789i	0.668038	−	0.744127i	$-0.267134\pi$
$743$	−4.45905	−	5.14602i	−0.163587	−	0.188789i	−0.831625	+	0.555338i	$0.812589\pi$
$744$	−3.19268	−	22.2056i	−0.117049	−	0.814097i
$745$	2.46782	+	0.724618i	0.0904140	+	0.0265479i
$746$	−17.1323	+	19.7718i	−0.627259	+	0.723896i
$747$	5.49294	+	3.53010i	0.200976	+	0.129159i
$748$	−12.7805	−	8.21355i	−0.467303	−	0.300317i
$749$	−10.3447	+	11.9384i	−0.377986	+	0.436219i
$750$	2.79826	+	0.821642i	0.102178	+	0.0300021i
$751$	−0.149091	−	1.03695i	−0.00544040	−	0.0378388i	0.986920	−	0.161208i	$-0.0515391\pi$
$751$	−0.149091	−	1.03695i	−0.00544040	−	0.0378388i	−0.992361	+	0.123369i	$0.960630\pi$
$752$	−12.2128	−	14.0943i	−0.445355	−	0.513967i
$753$	5.02781	+	11.0094i	0.183224	+	0.401204i
$754$	−17.5870	+	5.16401i	−0.640481	+	0.188062i
$755$	1.74781	−	3.82717i	0.0636092	−	0.139285i
$756$	0.0710113	−	0.493895i	0.00258266	−	0.0179628i
$757$	19.9896	−	12.8465i	0.726534	−	0.466915i	−0.124370	−	0.992236i	$-0.539691\pi$
$757$	19.9896	−	12.8465i	0.726534	−	0.466915i	0.850904	+	0.525321i	$0.176055\pi$
$758$	−19.7996			−0.719153
$759$	−28.6337	−	8.39512i	−1.03934	−	0.304724i
$760$	2.05371			0.0744958
$761$	−22.5525	+	14.4936i	−0.817528	+	0.525394i	−0.881292	−	0.472571i	$-0.843326\pi$
$761$	−22.5525	+	14.4936i	−0.817528	+	0.525394i	0.0637641	+	0.997965i	$0.479689\pi$
$762$	0.653489	−	4.54511i	0.0236734	−	0.164652i
$763$	−8.36149	+	18.3091i	−0.302706	+	0.662835i
$764$	−3.08078	+	0.904597i	−0.111459	+	0.0327272i
$765$	0.376324	+	0.824034i	0.0136060	+	0.0297930i
$766$	33.2640	+	38.3887i	1.20188	+	1.38704i
$767$	−7.16701	−	49.8476i	−0.258786	−	1.79989i
$768$	−10.8346	−	3.18131i	−0.390959	−	0.114796i
$769$	−7.68078	+	8.86409i	−0.276976	+	0.319647i	−0.877145	−	0.480226i	$-0.840555\pi$
$769$	−7.68078	+	8.86409i	−0.276976	+	0.319647i	0.600169	+	0.799873i	$0.295100\pi$
$770$	−1.53174	−	0.984388i	−0.0552000	−	0.0354749i
$771$	−16.3832	−	10.5288i	−0.590025	−	0.379186i
$772$	−6.43382	+	7.42502i	−0.231558	+	0.267232i
$773$	39.0572	+	11.4682i	1.40479	+	0.412484i	0.894326	−	0.447416i	$-0.147656\pi$
$773$	39.0572	+	11.4682i	1.40479	+	0.412484i	0.510464	+	0.859899i	$0.329474\pi$
$774$	0.778918	+	5.41749i	0.0279976	+	0.194728i
$775$	30.7446	+	35.4812i	1.10438	+	1.27452i
$776$	−11.7997	−	25.8378i	−0.423585	−	0.927521i
$777$	0.179426	−	0.0526844i	0.00643689	−	0.00189004i
$778$	−1.91987	+	4.20392i	−0.0688306	+	0.150718i
$779$	0.314260	−	2.18573i	0.0112595	−	0.0783118i
$780$	−0.481650	+	0.309538i	−0.0172458	+	0.0110832i
$781$	75.0336			2.68491
$782$	−5.26506	+	36.7240i	−0.188278	+	1.31325i
$783$	−1.87067			−0.0668524
$784$	−3.99509	+	2.56749i	−0.142682	+	0.0916960i
$785$	0.498220	−	3.46520i	0.0177822	−	0.123678i
$786$	−8.01043	+	17.5404i	−0.285723	+	0.625645i
$787$	7.36948	−	2.16388i	0.262694	−	0.0771338i	−0.147733	−	0.989027i	$-0.547198\pi$
$787$	7.36948	−	2.16388i	0.262694	−	0.0771338i	0.410427	+	0.911893i	$0.365380\pi$
$788$	3.00282	+	6.57526i	0.106971	+	0.234234i
$789$	10.2868	+	11.8716i	0.366221	+	0.422642i
$790$	−0.0318438	−	0.221479i	−0.00113295	−	0.00787985i
$791$	1.95078	+	0.572799i	0.0693616	+	0.0203664i
$792$	−9.66805	+	11.1575i	−0.343539	+	0.396466i
$793$	−69.9760	−	44.9708i	−2.48492	−	1.59696i
$794$	−39.2318	−	25.2128i	−1.39229	−	0.894768i
$795$	1.04489	−	1.20587i	0.0370585	−	0.0427678i
$796$	4.27420	+	1.25502i	0.151495	+	0.0444829i
$797$	−1.99993	−	13.9098i	−0.0708412	−	0.492712i	−0.994094	−	0.108519i	$-0.965389\pi$
$797$	−1.99993	−	13.9098i	−0.0708412	−	0.492712i	0.923253	−	0.384192i	$-0.125520\pi$
$798$	4.83998	+	5.58563i	0.171333	+	0.197729i
$799$	7.98313	+	17.4806i	0.282423	+	0.618419i
$800$	13.1577	−	3.86344i	0.465194	−	0.136593i
$801$	1.00107	−	2.19203i	0.0353710	−	0.0774517i
$802$	−3.43345	+	23.8801i	−0.121239	+	0.843237i
$803$	15.8685	−	10.1981i	0.559988	−	0.359882i
$804$	−2.36818			−0.0835191
$805$	−0.125995	+	0.878823i	−0.00444075	+	0.0309744i
$806$	−92.6379			−3.26303
$807$	21.2504	−	13.6568i	0.748049	−	0.480742i
$808$	3.61980	−	25.1763i	0.127344	−	0.885699i
$809$	7.11180	−	15.5727i	0.250038	−	0.547506i	−0.742443	−	0.669910i	$-0.766333\pi$
$809$	7.11180	−	15.5727i	0.250038	−	0.547506i	0.992480	+	0.122403i	$0.0390602\pi$
$810$	−0.280788	+	0.0824467i	−0.00986588	+	0.00289688i
$811$	16.6027	+	36.3549i	0.583001	+	1.27659i	0.939580	+	0.342328i	$0.111216\pi$
$811$	16.6027	+	36.3549i	0.583001	+	1.27659i	−0.356580	+	0.934265i	$0.616057\pi$
$812$	−0.611258	−	0.705429i	−0.0214509	−	0.0247557i
$813$	0.0251250	+	0.174749i	0.000881174	+	0.00612870i
$814$	1.76477	+	0.518183i	0.0618552	+	0.0181623i
$815$	−0.567406	+	0.654821i	−0.0198754	+	0.0229374i
$816$	19.5502	+	12.5641i	0.684393	+	0.439832i
$817$	−13.6176	−	8.75152i	−0.476420	−	0.306177i
$818$	−13.4323	+	15.5018i	−0.469651	+	0.542006i
$819$	5.94721	+	1.74626i	0.207812	+	0.0610192i
$820$	0.00620881	+	0.0431832i	0.000216821	+	0.00150802i
$821$	17.4854	+	20.1792i	0.610245	+	0.704260i	0.973824	−	0.227303i	$-0.0729909\pi$
$821$	17.4854	+	20.1792i	0.610245	+	0.704260i	−0.363579	+	0.931563i	$0.618445\pi$
$822$	−2.01477	−	4.41173i	−0.0702732	−	0.153877i
$823$	−41.6612	+	12.2328i	−1.45222	+	0.426409i	−0.910274	−	0.414006i	$-0.864129\pi$
$823$	−41.6612	+	12.2328i	−1.45222	+	0.426409i	−0.541942	+	0.840416i	$0.682311\pi$
$824$	2.48364	−	5.43842i	0.0865218	−	0.189456i
$825$	4.39698	−	30.5817i	0.153083	−	1.06472i
$826$	10.8050	−	6.94394i	0.375953	−	0.241611i
$827$	0.384268			0.0133623			0.00668115	−	0.999978i	$-0.497873\pi$
$827$	0.384268			0.0133623			0.00668115	+	0.999978i	$0.497873\pi$
$828$	−2.29633	−	0.673261i	−0.0798030	−	0.0233975i
$829$	−14.1856			−0.492685			−0.246342	−	0.969183i	$-0.579229\pi$
$829$	−14.1856			−0.492685			−0.246342	+	0.969183i	$0.579229\pi$
$830$	1.60746	−	1.03305i	0.0557958	−	0.0358578i
$831$	−3.54410	+	24.6497i	−0.122943	+	0.855090i
$832$	13.2153	−	28.9375i	0.458158	−	1.00323i
$833$	4.69532	−	1.37867i	0.162683	−	0.0477681i
$834$	−6.96276	−	15.2463i	−0.241101	−	0.527937i
$835$	−0.351645	−	0.405820i	−0.0121692	−	0.0140440i
$836$	2.06568	+	14.3671i	0.0714429	+	0.496897i
$837$	−9.07149	−	2.66363i	−0.313556	−	0.0920685i
$838$	4.65755	−	5.37509i	0.160892	−	0.185680i
$839$	−5.60029	−	3.59909i	−0.193344	−	0.124254i	0.440388	−	0.897808i	$-0.354841\pi$
$839$	−5.60029	−	3.59909i	−0.193344	−	0.124254i	−0.633731	+	0.773553i	$0.718477\pi$
$840$	0.369532	+	0.237484i	0.0127501	+	0.00819396i
$841$	16.6993	−	19.2721i	0.575839	−	0.664554i
$842$	41.1579	+	12.0850i	1.41839	+	0.416478i
$843$	4.10167	+	28.5277i	0.141269	+	0.982547i
$844$	2.77183	+	3.19887i	0.0954104	+	0.110109i
$845$	−1.95475	−	4.28030i	−0.0672454	−	0.147247i
$846$	−5.95648	+	1.74898i	−0.204788	+	0.0601312i
$847$	−11.5118	+	25.2074i	−0.395552	+	0.866137i
$848$	5.82528	−	40.5157i	0.200041	−	1.39132i
$849$	−12.2086	+	7.84597i	−0.418997	+	0.269273i
$850$	−38.4138			−1.31758
$851$	−0.127988	−	0.887647i	−0.00438739	−	0.0304282i
$852$	6.01745			0.206155
$853$	7.07362	−	4.54594i	0.242196	−	0.155650i	−0.413912	−	0.910317i	$-0.635838\pi$
$853$	7.07362	−	4.54594i	0.242196	−	0.155650i	0.656108	+	0.754667i	$0.272202\pi$
$854$	3.01913	−	20.9985i	0.103312	−	0.718554i
$855$	0.359544	−	0.787291i	0.0122961	−	0.0269248i
$856$	35.9649	−	10.5602i	1.22925	−	0.360942i
$857$	10.8695	+	23.8008i	0.371294	+	0.813020i	0.999391	+	0.0348853i	$0.0111066\pi$
$857$	10.8695	+	23.8008i	0.371294	+	0.813020i	−0.628098	+	0.778135i	$0.716166\pi$
$858$	39.9229	+	46.0735i	1.36295	+	1.57292i
$859$	−3.00082	−	20.8712i	−0.102387	−	0.712115i	−0.974757	−	0.223269i	$-0.928327\pi$
$859$	−3.00082	−	20.8712i	−0.102387	−	0.712115i	0.872370	−	0.488846i	$-0.162582\pi$
$860$	0.306857	+	0.0901013i	0.0104637	+	0.00307243i
$861$	0.309296	−	0.356946i	0.0105408	−	0.0121647i
$862$	−17.3479	−	11.1488i	−0.590873	−	0.379731i
$863$	14.2984	+	9.18902i	0.486723	+	0.312798i	0.760886	−	0.648885i	$-0.224764\pi$
$863$	14.2984	+	9.18902i	0.486723	+	0.312798i	−0.274163	+	0.961683i	$0.588401\pi$
$864$	−1.80843	+	2.08704i	−0.0615242	+	0.0710027i
$865$	1.77913	+	0.522399i	0.0604922	+	0.0177621i
$866$	1.22636	+	8.52952i	0.0416734	+	0.289845i
$867$	−4.54919	−	5.25005i	−0.154499	−	0.178301i
$868$	−1.95973	−	4.29121i	−0.0665176	−	0.145653i
$869$	−4.56458	+	1.34028i	−0.154843	+	0.0454660i
$870$	−0.227414	+	0.497966i	−0.00771004	+	0.0168826i
$871$	4.18657	−	29.1182i	0.141856	−	0.986633i
$872$	40.1789	−	25.8214i	1.36063	−	0.874423i
$873$	−11.9707			−0.405147
$874$	29.8108	−	19.1751i	1.00836	−	0.648609i
$875$	−1.84487			−0.0623678
$876$	1.27260	−	0.817852i	0.0429973	−	0.0276327i
$877$	−3.39505	+	23.6131i	−0.114643	+	0.797358i	0.848660	+	0.528939i	$0.177410\pi$
$877$	−3.39505	+	23.6131i	−0.114643	+	0.797358i	−0.963302	+	0.268419i	$0.913499\pi$
$878$	10.0724	−	22.0555i	0.339928	−	0.744338i
$879$	21.0147	−	6.17047i	0.708808	−	0.208125i
$880$	2.27226	+	4.97556i	0.0765979	+	0.167726i
$881$	−22.8641	−	26.3866i	−0.770312	−	0.888988i	0.226058	−	0.974114i	$-0.427416\pi$
$881$	−22.8641	−	26.3866i	−0.770312	−	0.888988i	−0.996370	+	0.0851262i	$0.972871\pi$
$882$	0.224973	+	1.56472i	0.00757525	+	0.0526870i
$883$	−16.9191	−	4.96790i	−0.569373	−	0.167183i	−0.0156406	−	0.999878i	$-0.504979\pi$
$883$	−16.9191	−	4.96790i	−0.569373	−	0.167183i	−0.553732	+	0.832695i	$0.686797\pi$
$884$	9.91109	−	11.4380i	0.333346	−	0.384702i
$885$	−1.26532	−	0.813169i	−0.0425331	−	0.0273344i
$886$	19.7808	+	12.7123i	0.664548	+	0.427079i
$887$	−27.8044	+	32.0880i	−0.933581	+	1.07741i	0.0632611	+	0.997997i	$0.479850\pi$
$887$	−27.8044	+	32.0880i	−0.933581	+	1.07741i	−0.996842	+	0.0794126i	$0.974696\pi$
$888$	−0.425751	−	0.125012i	−0.0142873	−	0.00419512i
$889$	0.413388	+	2.87517i	0.0138646	+	0.0964302i
$890$	−0.461814	−	0.532961i	−0.0154800	−	0.0178649i
$891$	2.58466	+	5.65961i	0.0865893	+	0.189604i
$892$	−2.64147	+	0.775606i	−0.0884430	+	0.0259692i
$893$	7.62716	−	16.7012i	0.255233	−	0.558883i
$894$	3.12570	−	21.7397i	0.104539	−	0.727085i
$895$	0.818027	−	0.525714i	0.0273436	−	0.0175727i
$896$	13.6365			0.455565
$897$	12.3377	−	27.0446i	0.411945	−	0.902993i
$898$	−4.17922			−0.139462
$899$	−14.8786	+	9.56188i	−0.496228	+	0.318907i
$900$	0.352623	−	2.45255i	0.0117541	−	0.0817516i
$901$	−17.5216	+	38.3669i	−0.583728	+	1.27819i
$902$	4.45727	−	1.30877i	0.148411	−	0.0435773i
$903$	−1.43828	−	3.14939i	−0.0478629	−	0.104805i
$904$	−3.15925	−	3.64597i	−0.105075	−	0.121263i
$905$	0.243095	+	1.69076i	0.00808075	+	0.0562029i
$906$	−34.4730	−	10.1222i	−1.14529	−	0.336287i
$907$	13.2397	−	15.2795i	0.439618	−	0.507347i	−0.492095	−	0.870542i	$-0.663769\pi$
$907$	13.2397	−	15.2795i	0.439618	−	0.507347i	0.931713	+	0.363195i	$0.118314\pi$
$908$	−5.76401	−	3.70430i	−0.191285	−	0.122932i
$909$	−9.01764	−	5.79528i	−0.299096	−	0.192217i
$910$	1.18784	−	1.37084i	0.0393764	−	0.0454428i
$911$	−38.9303	−	11.4310i	−1.28982	−	0.378725i	−0.436307	−	0.899798i	$-0.643714\pi$
$911$	−38.9303	−	11.4310i	−1.28982	−	0.378725i	−0.853512	+	0.521073i	$0.825532\pi$
$912$	−3.15983	−	21.9771i	−0.104632	−	0.727734i
$913$	−26.6040	−	30.7027i	−0.880465	−	1.01611i
$914$	−22.3106	−	48.8534i	−0.737969	−	1.61593i
$915$	−2.38368	+	0.699912i	−0.0788020	+	0.0231384i
$916$	−2.70886	+	5.93157i	−0.0895031	+	0.195984i
$917$	1.73597	−	12.0740i	0.0573269	−	0.398717i
$918$	6.50776	−	4.18228i	0.214788	−	0.138036i
$919$	−9.92604			−0.327430			−0.163715	−	0.986508i	$-0.552348\pi$
$919$	−9.92604			−0.327430			−0.163715	+	0.986508i	$0.552348\pi$
$920$	1.37891	−	1.59264i	0.0454613	−	0.0525078i
$921$	−10.9469			−0.360713
$922$	22.0449	−	14.1674i	0.726011	−	0.466579i
$923$	−10.6379	+	73.9883i	−0.350151	+	2.43536i
$924$	−1.28968	+	2.82400i	−0.0424272	+	0.0929027i
$925$	0.890983	−	0.261616i	0.0292954	−	0.00860189i
$926$	−18.8986	−	41.3822i	−0.621047	−	1.35990i
$927$	−1.65001	−	1.90421i	−0.0541935	−	0.0625426i
$928$	0.735194	+	5.11338i	0.0241339	+	0.167855i
$929$	1.42527	+	0.418497i	0.0467616	+	0.0137304i	0.305030	−	0.952343i	$-0.401334\pi$
$929$	1.42527	+	0.418497i	0.0467616	+	0.0137304i	−0.258268	+	0.966073i	$0.583152\pi$
$930$	−1.81185	+	2.09099i	−0.0594129	+	0.0685661i
$931$	−3.93315	−	2.52768i	−0.128904	−	0.0828415i
$932$	3.75048	+	2.41029i	0.122851	+	0.0789515i
$933$	0.771613	−	0.890489i	0.0252615	−	0.0291533i
$934$	−21.4357	−	6.29409i	−0.701398	−	0.205949i
$935$	−0.802141	−	5.57901i	−0.0262328	−	0.182453i
$936$	−9.63140	−	11.1152i	−0.314812	−	0.363313i
$937$	22.5768	+	49.4363i	0.737553	+	1.61501i	0.787539	+	0.616265i	$0.211355\pi$
$937$	22.5768	+	49.4363i	0.737553	+	1.61501i	−0.0499863	+	0.998750i	$0.515918\pi$
$938$	7.19878	−	2.11375i	0.235049	−	0.0690165i
$939$	4.36430	−	9.55649i	0.142424	−	0.311864i
$940$	−0.0516238	+	0.359052i	−0.00168378	+	0.0117110i
$941$	19.8419	−	12.7516i	0.646828	−	0.415691i	−0.175678	−	0.984448i	$-0.556212\pi$
$941$	19.8419	−	12.7516i	0.646828	−	0.415691i	0.822506	+	0.568757i	$0.192575\pi$
$942$	−29.8948			−0.974027
$943$	−1.48402	−	1.71126i	−0.0483263	−	0.0557262i
$944$	−38.5848			−1.25583
$945$	0.155734	−	0.100084i	0.00506602	−	0.00325573i
$946$	4.84633	−	33.7069i	0.157568	−	1.09591i
$947$	4.88927	−	10.7060i	0.158880	−	0.347898i	−0.813405	−	0.581698i	$-0.802389\pi$
$947$	4.88927	−	10.7060i	0.158880	−	0.347898i	0.972285	+	0.233800i	$0.0751159\pi$
$948$	−0.366065	+	0.107486i	−0.0118892	+	0.00349099i
$949$	7.80624	+	17.0933i	0.253401	+	0.554871i
$950$	24.0340	+	27.7368i	0.779767	+	0.899899i
$951$	1.91753	+	13.3367i	0.0621801	+	0.432472i
$952$	−11.1413	−	3.27137i	−0.361091	−	0.106026i
$953$	14.4915	−	16.7240i	0.469424	−	0.541745i	−0.470827	−	0.882226i	$-0.656044\pi$
$953$	14.4915	−	16.7240i	0.469424	−	0.541745i	0.940251	+	0.340481i	$0.110590\pi$
$954$	−11.4624	−	7.36642i	−0.371108	−	0.238497i
$955$	−1.00213	−	0.644029i	−0.0324281	−	0.0208403i
$956$	8.26645	−	9.53999i	0.267356	−	0.308545i
$957$	11.1676	+	3.27911i	0.360998	+	0.105999i
$958$	−4.46013	−	31.0209i	−0.144100	−	1.00224i
$959$	2.00915	+	2.31868i	0.0648787	+	0.0748740i
$960$	−0.394695	−	0.864261i	−0.0127387	−	0.0278939i
$961$	−56.0217	+	16.4495i	−1.80715	+	0.530628i
$962$	−0.761165	+	1.66672i	−0.0245410	+	0.0537372i
$963$	2.24811	−	15.6360i	0.0724444	−	0.503862i
$964$	2.88443	−	1.85371i	0.0929013	−	0.0597040i
$965$	−3.64500			−0.117337
$966$	7.58132	−	0.00304655i	0.243925	−	9.80212e-5i
$967$	7.52444			0.241970			0.120985	−	0.992654i	$-0.461395\pi$
$967$	7.52444			0.241970			0.120985	+	0.992654i	$0.461395\pi$
$968$	55.3170	−	35.5501i	1.77796	−	1.14262i
$969$	−3.25602	+	22.6462i	−0.104599	+	0.727499i
$970$	−1.45525	+	3.18656i	−0.0467254	+	0.102314i
$971$	−27.9827	+	8.21646i	−0.898007	+	0.263679i	−0.697985	−	0.716113i	$-0.745920\pi$
$971$	−27.9827	+	8.21646i	−0.898007	+	0.263679i	−0.200022	+	0.979791i	$0.564101\pi$
$972$	0.207281	+	0.453882i	0.00664855	+	0.0145583i
$973$	6.94332	+	8.01302i	0.222593	+	0.256886i
$974$	8.79061	+	61.1400i	0.281669	+	1.95905i
$975$	29.5322	+	8.67145i	0.945788	+	0.277709i
$976$	−41.7349	+	48.1646i	−1.33590	+	1.54171i
$977$	7.71101	+	4.95556i	0.246697	+	0.158542i	0.658146	−	0.752890i	$-0.271341\pi$
$977$	7.71101	+	4.95556i	0.246697	+	0.158542i	−0.411449	+	0.911433i	$0.634977\pi$
$978$	6.22439	+	4.00017i	0.199034	+	0.127911i
$979$	−9.81864	+	11.3313i	−0.313805	+	0.362150i
$980$	0.0886288	+	0.0260238i	0.00283114	+	0.000831299i
$981$	−2.86452	−	19.9232i	−0.0914571	−	0.636098i
$982$	43.2948	+	49.9648i	1.38159	+	1.59444i
$983$	5.52815	+	12.1050i	0.176321	+	0.386088i	0.977072	−	0.212908i	$-0.0682935\pi$
$983$	5.52815	+	12.1050i	0.176321	+	0.386088i	−0.800752	+	0.598997i	$0.795566\pi$
$984$	−1.07532	+	0.315741i	−0.0342798	+	0.0100655i
$985$	−1.11406	+	2.43945i	−0.0354968	+	0.0777272i
$986$	2.05946	−	14.3238i	0.0655865	−	0.456164i
$987$	3.30365	−	2.12313i	0.105156	−	0.0675799i
$988$	−14.4598			−0.460028
$989$	−15.9300	+	4.68442i	−0.506544	+	0.148956i
$990$	1.82078			0.0578682
$991$	16.3434	−	10.5033i	0.519167	−	0.333648i	−0.254676	−	0.967027i	$-0.581969\pi$
$991$	16.3434	−	10.5033i	0.519167	−	0.333648i	0.773842	+	0.633378i	$0.218332\pi$
$992$	−3.71570	+	25.8433i	−0.117974	+	0.820524i
$993$	2.99588	−	6.56005i	0.0950713	−	0.208177i
$994$	−18.2919	+	5.37097i	−0.580182	+	0.170357i
$995$	0.686551	+	1.50334i	0.0217651	+	0.0476590i
$996$	−2.13356	−	2.46226i	−0.0676043	−	0.0780195i
$997$	−1.00513	−	6.99086i	−0.0318329	−	0.221403i	0.967695	−	0.252123i	$-0.0811289\pi$
$997$	−1.00513	−	6.99086i	−0.0318329	−	0.221403i	−0.999528	+	0.0307206i	$0.990220\pi$
$998$	−0.843398	−	0.247644i	−0.0266973	−	0.00783903i
$999$	−0.122460	+	0.141326i	−0.00387446	+	0.00447136i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	483.2.q.f.127.3	✓	80
23.2	even	11	inner	483.2.q.f.232.3	yes	80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
483.2.q.f.127.3	✓	80	1.1	even	1	trivial
483.2.q.f.232.3	yes	80	23.2	even	11	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 483 = 3 \cdot 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	483.q (of order \(11\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.32987 + 0.854653i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.207281 - 0.453882i) q^{4} +(0.177622 - 0.0521546i) q^{5} +(-0.656694 - 1.43796i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.337691 - 2.34869i) q^{8} +(-0.959493 - 0.281733i) q^{9} +O(q^{10})\)	\(q+(-1.32987 + 0.854653i) q^{2} +(-0.142315 + 0.989821i) q^{3} +(0.207281 - 0.453882i) q^{4} +(0.177622 - 0.0521546i) q^{5} +(-0.656694 - 1.43796i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.337691 - 2.34869i) q^{8} +(-0.959493 - 0.281733i) q^{9} +(-0.191640 + 0.221164i) q^{10} +(5.23417 + 3.36380i) q^{11} +(0.419763 + 0.269765i) q^{12} +(-4.05901 + 4.68435i) q^{13} +(-1.51678 - 0.445367i) q^{14} +(0.0263455 + 0.183237i) q^{15} +(3.10992 + 3.58903i) q^{16} +(-2.03285 - 4.45133i) q^{17} +(1.51678 - 0.445367i) q^{18} +(-1.94221 + 4.25284i) q^{19} +(0.0131457 - 0.0914303i) q^{20} +(-0.841254 + 0.540641i) q^{21} -9.83562 q^{22} +(1.99401 + 4.36164i) q^{23} +2.37284 q^{24} +(-4.17744 + 2.68468i) q^{25} +(1.39445 - 9.69860i) q^{26} +(0.415415 - 0.909632i) q^{27} +(0.478762 - 0.140577i) q^{28} +(-0.777106 - 1.70162i) q^{29} +(-0.191640 - 0.221164i) q^{30} +(-1.34551 - 9.35823i) q^{31} +(-2.64969 - 0.778020i) q^{32} +(-4.07446 + 4.70218i) q^{33} +(6.50776 + 4.18228i) q^{34} +(0.155734 + 0.100084i) q^{35} +(-0.326758 + 0.377099i) q^{36} +(-0.179426 - 0.0526844i) q^{37} +(-1.05183 - 7.31562i) q^{38} +(-4.05901 - 4.68435i) q^{39} +(-0.182476 - 0.399568i) q^{40} +(-0.453176 + 0.133064i) q^{41} +(0.656694 - 1.43796i) q^{42} +(-0.492732 + 3.42703i) q^{43} +(2.61171 - 1.67845i) q^{44} -0.185121 q^{45} +(-6.37946 - 4.09621i) q^{46} -3.92706 q^{47} +(-3.99509 + 2.56749i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(3.26097 - 7.14052i) q^{50} +(4.69532 - 1.37867i) q^{51} +(1.28479 + 2.81329i) q^{52} +(-5.64438 - 6.51396i) q^{53} +(0.224973 + 1.56472i) q^{54} +(1.10514 + 0.324499i) q^{55} +(1.55388 - 1.79328i) q^{56} +(-3.93315 - 2.52768i) q^{57} +(2.48774 + 1.59878i) q^{58} +(-5.32066 + 6.14037i) q^{59} +(0.0886288 + 0.0260238i) q^{60} +(1.90986 + 13.2833i) q^{61} +(9.78738 + 11.2952i) q^{62} +(-0.415415 - 0.909632i) q^{63} +(-4.92454 + 1.44598i) q^{64} +(-0.476660 + 1.04374i) q^{65} +(1.39975 - 9.73551i) q^{66} +(-3.99267 + 2.56593i) q^{67} -2.44175 q^{68} +(-4.60102 + 1.35299i) q^{69} -0.292642 q^{70} +(10.1452 - 6.51994i) q^{71} +(-0.337691 + 2.34869i) q^{72} +(1.25942 - 2.75775i) q^{73} +(0.283640 - 0.0832842i) q^{74} +(-2.06284 - 4.51699i) q^{75} +(1.52771 + 1.76307i) q^{76} +(0.885464 + 6.15854i) q^{77} +(9.40143 + 2.76051i) q^{78} +(-0.500711 + 0.577852i) q^{79} +(0.739575 + 0.475296i) q^{80} +(0.841254 + 0.540641i) q^{81} +(0.488939 - 0.564266i) q^{82} +(-6.26498 - 1.83956i) q^{83} +(0.0710113 + 0.493895i) q^{84} +(-0.593237 - 0.684632i) q^{85} +(-2.27365 - 4.97860i) q^{86} +(1.79490 - 0.527029i) q^{87} +(6.13299 - 13.4294i) q^{88} +(-0.342951 + 2.38527i) q^{89} +(0.246186 - 0.158214i) q^{90} -6.19828 q^{91} +(2.39299 - 0.000961624i) q^{92} +9.45446 q^{93} +(5.22246 - 3.35627i) q^{94} +(-0.123174 + 0.856695i) q^{95} +(1.14719 - 2.51200i) q^{96} +(11.4858 - 3.37254i) q^{97} +(-0.656694 - 1.43796i) q^{98} +(-4.07446 - 4.70218i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9}+O(q^{10}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9	\( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9} + 4 q^{10} + q^{11} - 9 q^{12} - 26 q^{13} - q^{14} + 2 q^{15} - 3 q^{16} - 23 q^{17} + q^{18} + 10 q^{19} + 63 q^{20} + 8 q^{21} - 9 q^{23} + 30 q^{24} - 29 q^{25} - 12 q^{26} - 8 q^{27} + 20 q^{28} + 13 q^{29} + 4 q^{30} - 27 q^{31} + 71 q^{32} + q^{33} - 45 q^{34} - 2 q^{35} - 9 q^{36} + 60 q^{37} - 2 q^{38} - 26 q^{39} + 7 q^{40} - 26 q^{41} - q^{42} + 5 q^{43} - 33 q^{44} - 20 q^{45} - 41 q^{46} + 34 q^{47} - 58 q^{48} - 8 q^{49} - 75 q^{50} - q^{51} + 108 q^{52} - 39 q^{53} - 10 q^{54} + 51 q^{55} + 3 q^{56} + 10 q^{57} + 47 q^{58} - 66 q^{59} + 19 q^{60} + 3 q^{61} + 103 q^{62} + 8 q^{63} - 25 q^{64} + 39 q^{65} - 33 q^{66} + 33 q^{67} - 88 q^{68} + 13 q^{69} + 18 q^{70} - 12 q^{71} - 25 q^{72} - 98 q^{73} + 123 q^{74} + 4 q^{75} - 41 q^{76} - 12 q^{77} + 10 q^{78} - 34 q^{79} + 163 q^{80} - 8 q^{81} + 48 q^{82} + 26 q^{83} + 9 q^{84} + 35 q^{85} + 4 q^{86} + 2 q^{87} + 178 q^{88} - 63 q^{89} + 4 q^{90} - 62 q^{91} - 39 q^{92} + 138 q^{93} - 28 q^{94} - 80 q^{95} - 17 q^{96} - 44 q^{97} + q^{98} + q^{99}+O(q^{100}) \) 80 * q + q^2 - 8 * q^3 - 9 * q^4 + 13 * q^5 + q^6 + 8 * q^7 - 25 * q^8 - 8 * q^9 + 4 * q^10 + q^11 - 9 * q^12 - 26 * q^13 - q^14 + 2 * q^15 - 3 * q^16 - 23 * q^17 + q^18 + 10 * q^19 + 63 * q^20 + 8 * q^21 - 9 * q^23 + 30 * q^24 - 29 * q^25 - 12 * q^26 - 8 * q^27 + 20 * q^28 + 13 * q^29 + 4 * q^30 - 27 * q^31 + 71 * q^32 + q^33 - 45 * q^34 - 2 * q^35 - 9 * q^36 + 60 * q^37 - 2 * q^38 - 26 * q^39 + 7 * q^40 - 26 * q^41 - q^42 + 5 * q^43 - 33 * q^44 - 20 * q^45 - 41 * q^46 + 34 * q^47 - 58 * q^48 - 8 * q^49 - 75 * q^50 - q^51 + 108 * q^52 - 39 * q^53 - 10 * q^54 + 51 * q^55 + 3 * q^56 + 10 * q^57 + 47 * q^58 - 66 * q^59 + 19 * q^60 + 3 * q^61 + 103 * q^62 + 8 * q^63 - 25 * q^64 + 39 * q^65 - 33 * q^66 + 33 * q^67 - 88 * q^68 + 13 * q^69 + 18 * q^70 - 12 * q^71 - 25 * q^72 - 98 * q^73 + 123 * q^74 + 4 * q^75 - 41 * q^76 - 12 * q^77 + 10 * q^78 - 34 * q^79 + 163 * q^80 - 8 * q^81 + 48 * q^82 + 26 * q^83 + 9 * q^84 + 35 * q^85 + 4 * q^86 + 2 * q^87 + 178 * q^88 - 63 * q^89 + 4 * q^90 - 62 * q^91 - 39 * q^92 + 138 * q^93 - 28 * q^94 - 80 * q^95 - 17 * q^96 - 44 * q^97 + q^98 + q^99

Introduction

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