LMFDB - Embedded newform 108.3.j.a.31.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, degree $6$, 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:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			31.6
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.85742 - 0.741613i) q^{2} +(-2.48687 - 1.67794i) q^{3} +(2.90002 + 2.75497i) q^{4} +(1.04974 - 5.95339i) q^{5} +(3.37478 + 4.96093i) q^{6} +(-1.18627 - 1.41374i) q^{7} +(-3.34343 - 7.26784i) q^{8} +(3.36905 + 8.34563i) q^{9} +O(q^{10})$	\(q+(-1.85742 - 0.741613i) q^{2} +(-2.48687 - 1.67794i) q^{3} +(2.90002 + 2.75497i) q^{4} +(1.04974 - 5.95339i) q^{5} +(3.37478 + 4.96093i) q^{6} +(-1.18627 - 1.41374i) q^{7} +(-3.34343 - 7.26784i) q^{8} +(3.36905 + 8.34563i) q^{9} +(-6.36492 + 10.2794i) q^{10} +(-14.9684 + 2.63934i) q^{11} +(-2.58930 - 11.7173i) q^{12} +(-6.81461 + 2.48032i) q^{13} +(1.15495 + 3.50567i) q^{14} +(-12.6000 + 13.0439i) q^{15} +(0.820241 + 15.9790i) q^{16} +(2.22420 - 3.85243i) q^{17} +(-0.0685244 - 17.9999i) q^{18} +(-30.1899 + 17.4301i) q^{19} +(19.4457 - 14.3729i) q^{20} +(0.577931 + 5.50628i) q^{21} +(29.7600 + 6.19842i) q^{22} +(8.19924 - 9.77147i) q^{23} +(-3.88029 + 23.6842i) q^{24} +(-10.8485 - 3.94854i) q^{25} +(14.4970 + 0.446815i) q^{26} +(5.62504 - 26.4076i) q^{27} +(0.454613 - 7.36803i) q^{28} +(-26.3635 - 9.59554i) q^{29} +(33.0770 - 14.8837i) q^{30} +(34.0099 - 40.5314i) q^{31} +(10.3267 - 30.2879i) q^{32} +(41.6532 + 18.5524i) q^{33} +(-6.98829 + 5.50609i) q^{34} +(-9.66183 + 5.57826i) q^{35} +(-13.2217 + 33.4841i) q^{36} +(1.20543 - 2.08787i) q^{37} +(69.0017 - 9.98589i) q^{38} +(21.1089 + 5.26627i) q^{39} +(-46.7780 + 12.2754i) q^{40} +(-44.2880 + 16.1195i) q^{41} +(3.01007 - 10.6561i) q^{42} +(15.3959 - 2.71472i) q^{43} +(-50.6800 - 33.5835i) q^{44} +(53.2214 - 11.2965i) q^{45} +(-22.4761 + 12.0691i) q^{46} +(13.3190 + 15.8730i) q^{47} +(24.7719 - 41.1139i) q^{48} +(7.91733 - 44.9014i) q^{49} +(17.2220 + 15.3795i) q^{50} +(-11.9954 + 5.84843i) q^{51} +(-26.5957 - 11.5811i) q^{52} -77.1717 q^{53} +(-30.0322 + 44.8783i) q^{54} +91.8834i q^{55} +(-6.30863 + 13.3484i) q^{56} +(104.325 + 7.31023i) q^{57} +(41.8520 + 37.3745i) q^{58} +(69.2241 + 12.2061i) q^{59} +(-72.4758 + 3.11496i) q^{60} +(25.1234 - 21.0811i) q^{61} +(-93.2293 + 50.0617i) q^{62} +(7.80196 - 14.6631i) q^{63} +(-41.6429 + 48.5991i) q^{64} +(7.61269 + 43.1737i) q^{65} +(-63.6088 - 65.3501i) q^{66} +(-25.3557 - 69.6641i) q^{67} +(17.0636 - 5.04451i) q^{68} +(-36.7864 + 10.5426i) q^{69} +(22.0830 - 3.19584i) q^{70} +(-81.7673 - 47.2083i) q^{71} +(49.3904 - 52.3888i) q^{72} +(-42.1159 - 72.9468i) q^{73} +(-3.78739 + 2.98409i) q^{74} +(20.3535 + 28.0227i) q^{75} +(-135.571 - 32.6246i) q^{76} +(21.4879 + 18.0305i) q^{77} +(-35.3025 - 25.4363i) q^{78} +(0.961540 - 2.64181i) q^{79} +(95.9900 + 11.8906i) q^{80} +(-58.2990 + 56.2337i) q^{81} +(94.2158 + 2.90384i) q^{82} +(19.3208 - 53.0836i) q^{83} +(-13.4937 + 17.5605i) q^{84} +(-20.6002 - 17.2856i) q^{85} +(-30.6100 - 6.37545i) q^{86} +(49.4620 + 68.0992i) q^{87} +(69.2282 + 99.9636i) q^{88} +(55.7439 + 96.5512i) q^{89} +(-107.232 - 18.4873i) q^{90} +(11.5905 + 6.69178i) q^{91} +(50.6981 - 5.74879i) q^{92} +(-152.587 + 43.7299i) q^{93} +(-12.9674 - 39.3604i) q^{94} +(72.0767 + 198.029i) q^{95} +(-76.5024 + 57.9947i) q^{96} +(-13.0319 - 73.9076i) q^{97} +(-48.0053 + 77.5292i) q^{98} +(-72.4563 - 116.029i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{1}{9}\right)$	$-1$

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 $

$2$	−1.85742	−	0.741613i	−0.928710	−	0.370806i
$2$	−1.85742	−	0.741613i	−0.928710	−	0.370806i
$3$	−2.48687	−	1.67794i	−0.828957	−	0.559312i
$3$	−2.48687	−	1.67794i	−0.828957	−	0.559312i
$4$	2.90002	+	2.75497i	0.725005	+	0.688743i
$5$	1.04974	−	5.95339i	0.209949	−	1.19068i	−0.679512	−	0.733665i	$-0.737808\pi$
$5$	1.04974	−	5.95339i	0.209949	−	1.19068i	0.889460	−	0.457013i	$-0.151081\pi$
$6$	3.37478	+	4.96093i	0.562464	+	0.826822i
$7$	−1.18627	−	1.41374i	−0.169467	−	0.201963i	0.674626	−	0.738160i	$-0.264305\pi$
$7$	−1.18627	−	1.41374i	−0.169467	−	0.201963i	−0.844093	+	0.536197i	$0.819861\pi$
$8$	−3.34343	−	7.26784i	−0.417929	−	0.908480i
$9$	3.36905	+	8.34563i	0.374339	+	0.927292i
$10$	−6.36492	+	10.2794i	−0.636492	+	1.02794i
$11$	−14.9684	+	2.63934i	−1.36077	+	0.239940i	−0.805925	−	0.592017i	$-0.798332\pi$
$11$	−14.9684	+	2.63934i	−1.36077	+	0.239940i	−0.554840	+	0.831957i	$0.687221\pi$
$12$	−2.58930	−	11.7173i	−0.215775	−	0.976443i
$13$	−6.81461	+	2.48032i	−0.524201	+	0.190794i	−0.590547	−	0.807003i	$-0.701088\pi$
$13$	−6.81461	+	2.48032i	−0.524201	+	0.190794i	0.0663462	+	0.997797i	$0.478866\pi$
$14$	1.15495	+	3.50567i	0.0824967	+	0.250405i
$15$	−12.6000	+	13.0439i	−0.839999	+	0.869593i
$16$	0.820241	+	15.9790i	0.0512650	+	0.998685i
$17$	2.22420	−	3.85243i	0.130835	−	0.226614i	−0.793163	−	0.609009i	$-0.791567\pi$
$17$	2.22420	−	3.85243i	0.130835	−	0.226614i	0.923999	+	0.382395i	$0.124901\pi$
$18$	−0.0685244	−	17.9999i	−0.00380691	−	0.999993i
$19$	−30.1899	+	17.4301i	−1.58894	+	0.917376i	−0.595459	+	0.803385i	$0.703030\pi$
$19$	−30.1899	+	17.4301i	−1.58894	+	0.917376i	−0.993482	+	0.113990i	$0.963637\pi$
$20$	19.4457	−	14.3729i	0.972285	−	0.718646i
$21$	0.577931	+	5.50628i	0.0275205	+	0.262204i
$22$	29.7600	+	6.19842i	1.35273	+	0.281746i
$23$	8.19924	−	9.77147i	0.356489	−	0.424847i	−0.557759	−	0.830003i	$-0.688339\pi$
$23$	8.19924	−	9.77147i	0.356489	−	0.424847i	0.914247	+	0.405157i	$0.132783\pi$
$24$	−3.88029	+	23.6842i	−0.161679	+	0.986843i
$25$	−10.8485	−	3.94854i	−0.433941	−	0.157942i
$26$	14.4970	+	0.446815i	0.557578	+	0.0171852i
$27$	5.62504	−	26.4076i	0.208335	−	0.978058i
$28$	0.454613	−	7.36803i	0.0162362	−	0.263144i
$29$	−26.3635	−	9.59554i	−0.909087	−	0.330881i	−0.155199	−	0.987883i	$-0.549602\pi$
$29$	−26.3635	−	9.59554i	−0.909087	−	0.330881i	−0.753888	+	0.657003i	$0.771824\pi$
$30$	33.0770	−	14.8837i	1.10257	−	0.496123i
$31$	34.0099	−	40.5314i	1.09709	−	1.30747i	0.149225	−	0.988803i	$-0.452322\pi$
$31$	34.0099	−	40.5314i	1.09709	−	1.30747i	0.947868	−	0.318662i	$-0.103233\pi$
$32$	10.3267	−	30.2879i	0.322708	−	0.946498i
$33$	41.6532	+	18.5524i	1.26222	+	0.562193i
$34$	−6.98829	+	5.50609i	−0.205538	+	0.161944i
$35$	−9.66183	+	5.57826i	−0.276052	+	0.159379i
$36$	−13.2217	+	33.4841i	−0.367268	+	0.930115i
$37$	1.20543	−	2.08787i	0.0325793	−	0.0564289i	−0.849276	−	0.527949i	$-0.822961\pi$
$37$	1.20543	−	2.08787i	0.0325793	−	0.0564289i	0.881855	+	0.471520i	$0.156295\pi$
$38$	69.0017	−	9.98589i	1.81583	−	0.262786i
$39$	21.1089	+	5.26627i	0.541253	+	0.135032i
$40$	−46.7780	+	12.2754i	−1.16945	+	0.306885i
$41$	−44.2880	+	16.1195i	−1.08019	+	0.393159i	−0.819980	−	0.572392i	$-0.806015\pi$
$41$	−44.2880	+	16.1195i	−1.08019	+	0.393159i	−0.260214	+	0.965551i	$0.583793\pi$
$42$	3.01007	−	10.6561i	0.0716683	−	0.253716i
$43$	15.3959	−	2.71472i	0.358045	−	0.0631330i	0.00826772	−	0.999966i	$-0.497368\pi$
$43$	15.3959	−	2.71472i	0.358045	−	0.0631330i	0.349778	+	0.936833i	$0.386257\pi$
$44$	−50.6800	−	33.5835i	−1.15182	−	0.763261i
$45$	53.2214	−	11.2965i	1.18270	−	0.251034i
$46$	−22.4761	+	12.0691i	−0.488610	+	0.262371i
$47$	13.3190	+	15.8730i	0.283383	+	0.337723i	0.888893	−	0.458115i	$-0.151475\pi$
$47$	13.3190	+	15.8730i	0.283383	+	0.337723i	−0.605510	+	0.795838i	$0.707031\pi$
$48$	24.7719	−	41.1139i	0.516080	−	0.856540i
$49$	7.91733	−	44.9014i	0.161578	−	0.916355i
$50$	17.2220	+	15.3795i	0.344440	+	0.307590i
$51$	−11.9954	+	5.84843i	−0.235205	+	0.114675i
$52$	−26.5957	−	11.5811i	−0.511456	−	0.222714i
$53$	−77.1717			−1.45607			−0.728035	−	0.685540i	$-0.759566\pi$
$53$	−77.1717			−1.45607			−0.728035	+	0.685540i	$0.759566\pi$
$54$	−30.0322	+	44.8783i	−0.556153	+	0.831080i
$55$			91.8834i			1.67061i
$56$	−6.30863	+	13.3484i	−0.112654	+	0.238364i
$57$	104.325	+	7.31023i	1.83026	+	0.128250i
$58$	41.8520	+	37.3745i	0.721586	+	0.644387i
$59$	69.2241	+	12.2061i	1.17329	+	0.206883i	0.726121	−	0.687567i	$-0.241321\pi$
$59$	69.2241	+	12.2061i	1.17329	+	0.206883i	0.447169	+	0.894450i	$0.352432\pi$
$60$	−72.4758	+	3.11496i	−1.20793	+	0.0519160i
$61$	25.1234	−	21.0811i	0.411859	−	0.345591i	−0.413197	−	0.910642i	$-0.635588\pi$
$61$	25.1234	−	21.0811i	0.411859	−	0.345591i	0.825056	+	0.565051i	$0.191143\pi$
$62$	−93.2293	+	50.0617i	−1.50370	+	0.807447i
$63$	7.80196	−	14.6631i	0.123841	−	0.232748i
$64$	−41.6429	+	48.5991i	−0.650670	+	0.759360i
$65$	7.61269	+	43.1737i	0.117118	+	0.664211i
$66$	−63.6088	−	65.3501i	−0.963769	−	0.990153i
$67$	−25.3557	−	69.6641i	−0.378443	−	1.03976i	−0.972002	−	0.234973i	$-0.924500\pi$
$67$	−25.3557	−	69.6641i	−0.378443	−	1.03976i	0.593559	−	0.804790i	$-0.297722\pi$
$68$	17.0636	−	5.04451i	0.250935	−	0.0741840i
$69$	−36.7864	+	10.5426i	−0.533136	+	0.152791i
$70$	22.0830	−	3.19584i	0.315471	−	0.0456548i
$71$	−81.7673	−	47.2083i	−1.15165	−	0.664906i	−0.202362	−	0.979311i	$-0.564862\pi$
$71$	−81.7673	−	47.2083i	−1.15165	−	0.664906i	−0.949289	+	0.314404i	$0.898195\pi$
$72$	49.3904	−	52.3888i	0.685978	−	0.727622i
$73$	−42.1159	−	72.9468i	−0.576930	−	0.999272i	−0.995829	−	0.0912391i	$-0.970917\pi$
$73$	−42.1159	−	72.9468i	−0.576930	−	0.999272i	0.418899	−	0.908033i	$-0.362416\pi$
$74$	−3.78739	+	2.98409i	−0.0511809	+	0.0403255i
$75$	20.3535	+	28.0227i	0.271380	+	0.373636i
$76$	−135.571	−	32.6246i	−1.78383	−	0.429271i
$77$	21.4879	+	18.0305i	0.279064	+	0.234163i
$78$	−35.3025	−	25.4363i	−0.452597	−	0.326106i
$79$	0.961540	−	2.64181i	0.0121714	−	0.0334406i	−0.933458	−	0.358686i	$-0.883225\pi$
$79$	0.961540	−	2.64181i	0.0121714	−	0.0334406i	0.945630	+	0.325246i	$0.105447\pi$
$80$	95.9900	+	11.8906i	1.19987	+	0.148632i
$81$	−58.2990	+	56.2337i	−0.719740	+	0.694243i
$82$	94.2158	+	2.90384i	1.14897	+	0.0354126i
$83$	19.3208	−	53.0836i	0.232781	−	0.639561i	−0.767217	−	0.641388i	$-0.778359\pi$
$83$	19.3208	−	53.0836i	0.232781	−	0.639561i	0.999998	+	0.00182621i	$0.000581302\pi$
$84$	−13.4937	+	17.5605i	−0.160639	+	0.209054i
$85$	−20.6002	−	17.2856i	−0.242355	−	0.203360i
$86$	−30.6100	−	6.37545i	−0.355930	−	0.0741332i
$87$	49.4620	+	68.0992i	0.568528	+	0.782749i
$88$	69.2282	+	99.9636i	0.786684	+	1.13595i
$89$	55.7439	+	96.5512i	0.626336	+	1.08485i	0.988281	+	0.152646i	$0.0487794\pi$
$89$	55.7439	+	96.5512i	0.626336	+	1.08485i	−0.361945	+	0.932199i	$0.617887\pi$
$90$	−107.232	−	18.4873i	−1.19147	−	0.205414i
$91$	11.5905	+	6.69178i	0.127368	+	0.0735361i
$92$	50.6981	−	5.74879i	0.551066	−	0.0624868i
$93$	−152.587	+	43.7299i	−1.64072	+	0.470214i
$94$	−12.9674	−	39.3604i	−0.137951	−	0.418727i
$95$	72.0767	+	198.029i	0.758702	+	2.08452i
$96$	−76.5024	+	57.9947i	−0.796900	+	0.604112i
$97$	−13.0319	−	73.9076i	−0.134350	−	0.761934i	−0.975310	−	0.220838i	$-0.929121\pi$
$97$	−13.0319	−	73.9076i	−0.134350	−	0.761934i	0.840961	−	0.541096i	$-0.181990\pi$
$98$	−48.0053	+	77.5292i	−0.489850	+	0.791114i
$99$	−72.4563	−	116.029i	−0.731882	−	1.17201i
$100$	−20.5828	−	41.3383i	−0.205828	−	0.413383i
$101$	9.66252	−	8.10782i	0.0956685	−	0.0802754i	−0.593699	−	0.804687i	$-0.702333\pi$
$101$	9.66252	−	8.10782i	0.0956685	−	0.0802754i	0.689367	+	0.724412i	$0.257889\pi$
$102$	26.6179	−	1.96702i	0.260959	−	0.0192845i
$103$	112.669	+	19.8667i	1.09388	+	0.192880i	0.691345	−	0.722525i	$-0.257019\pi$
$103$	112.669	+	19.8667i	1.09388	+	0.192880i	0.402533	+	0.915405i	$0.368130\pi$
$104$	40.8107	+	41.2347i	0.392411	+	0.396488i
$105$	33.3877	+	2.33953i	0.317978	+	0.0222813i
$106$	143.340	+	57.2315i	1.35227	+	0.539920i
$107$		−	157.069i		−	1.46793i	−0.679186	−	0.733967i	$-0.737667\pi$
$107$		−	157.069i		−	1.46793i	0.679186	−	0.733967i	$-0.262333\pi$
$108$	89.0648	−	61.0856i	0.824674	−	0.565608i
$109$	154.468			1.41714			0.708571	−	0.705640i	$-0.249340\pi$
$109$	154.468			1.41714			0.708571	+	0.705640i	$0.249340\pi$
$110$	68.1419	−	170.666i	0.619472	−	1.55151i
$111$	−6.50107	+	3.16962i	−0.0585682	+	0.0285552i
$112$	21.6171	−	20.1150i	0.193010	−	0.179598i
$113$	1.75642	−	9.96117i	0.0155436	−	0.0881520i	−0.976049	−	0.217550i	$-0.930193\pi$
$113$	1.75642	−	9.96117i	0.0155436	−	0.0881520i	0.991593	+	0.129398i	$0.0413045\pi$
$114$	−188.354	−	90.9469i	−1.65223	−	0.797780i
$115$	−49.5663	−	59.0708i	−0.431011	−	0.513659i
$116$	−50.0193	−	100.458i	−0.431201	−	0.866018i
$117$	−43.6586	−	48.5159i	−0.373150	−	0.414666i
$118$	−119.526	−	74.0093i	−1.01293	−	0.627197i
$119$	−8.08486	+	1.42558i	−0.0679400	+	0.0119796i
$120$	136.928	+	47.9632i	1.14107	+	0.399693i
$121$	103.385	−	37.6290i	0.854420	−	0.310983i
$122$	−62.2987	+	20.5245i	−0.510645	+	0.168234i
$123$	137.186	+	34.2253i	1.11533	+	0.278255i
$124$	210.292	−	23.8456i	1.69591	−	0.192303i
$125$	40.6700	−	70.4425i	0.325360	−	0.563540i
$126$	−25.3659	+	21.4496i	−0.201317	+	0.170235i
$127$	−101.657	+	58.6920i	−0.800453	+	0.462141i	−0.843629	−	0.536926i	$-0.819585\pi$
$127$	−101.657	+	58.6920i	−0.800453	+	0.462141i	0.0431768	+	0.999067i	$0.486252\pi$
$128$	113.390	−	59.3860i	0.885860	−	0.463953i
$129$	−42.8429	−	19.0823i	−0.332115	−	0.147925i
$130$	17.8782	−	85.8374i	0.137525	−	0.660288i
$131$	−126.400	+	150.637i	−0.964884	+	1.14990i	0.0237735	+	0.999717i	$0.492432\pi$
$131$	−126.400	+	150.637i	−0.964884	+	1.14990i	−0.988658	+	0.150187i	$0.952012\pi$
$132$	69.6837	+	168.556i	0.527907	+	1.27694i
$133$	60.4551	+	22.0039i	0.454550	+	0.165443i
$134$	−4.56768	+	148.200i	−0.0340871	+	1.10597i
$135$	−151.310	−	61.2091i	−1.12081	−	0.453401i
$136$	−35.4353	−	3.28479i	−0.260554	−	0.0241529i
$137$	−88.0013	−	32.0298i	−0.642345	−	0.233794i	0.000250601	−	1.00000i	$-0.499920\pi$
$137$	−88.0013	−	32.0298i	−0.642345	−	0.233794i	−0.642596	+	0.766206i	$0.722142\pi$
$138$	76.1463	+	7.69924i	0.551784	+	0.0557916i
$139$	60.8206	−	72.4832i	0.437558	−	0.521462i	−0.501529	−	0.865141i	$-0.667229\pi$
$139$	60.8206	−	72.4832i	0.437558	−	0.521462i	0.939087	+	0.343679i	$0.111673\pi$
$140$	−43.3875	−	10.4410i	−0.309911	−	0.0745787i
$141$	−6.48880	−	61.8226i	−0.0460199	−	0.438458i
$142$	116.866	+	148.325i	0.822999	+	1.04455i
$143$	95.4576	−	55.1125i	0.667536	−	0.385402i
$144$	−130.591	+	60.6794i	−0.906882	+	0.421385i
$145$	−84.8008	+	146.879i	−0.584833	+	1.01296i
$146$	24.1286	+	166.727i	0.165264	+	1.14196i
$147$	−95.0311	+	98.3792i	−0.646470	+	0.669247i
$148$	9.24781	−	2.73393i	0.0624852	−	0.0184725i
$149$	64.4681	−	23.4645i	0.432672	−	0.157480i	−0.116497	−	0.993191i	$-0.537167\pi$
$149$	64.4681	−	23.4645i	0.432672	−	0.157480i	0.549169	+	0.835711i	$0.314944\pi$
$150$	−17.0230	−	67.1443i	−0.113487	−	0.447629i
$151$	−160.992	+	28.3872i	−1.06617	+	0.187995i	−0.679093	−	0.734052i	$-0.737627\pi$
$151$	−160.992	+	28.3872i	−1.06617	+	0.187995i	−0.387078	+	0.922047i	$0.626516\pi$
$152$	227.617	+	161.139i	1.49748	+	1.06012i
$153$	39.6444	+	5.58332i	0.259114	+	0.0364923i
$154$	−26.5405	−	49.4260i	−0.172341	−	0.320948i
$155$	−205.598	−	245.022i	−1.32644	−	1.58078i
$156$	46.7078	+	73.4267i	0.299409	+	0.470684i
$157$	−47.4761	+	269.250i	−0.302395	+	1.71497i	0.333122	+	0.942884i	$0.391898\pi$
$157$	−47.4761	+	269.250i	−0.302395	+	1.71497i	−0.635518	+	0.772086i	$0.719213\pi$
$158$	−3.74518	+	4.19386i	−0.0237037	+	0.0265434i
$159$	191.916	+	129.489i	1.20702	+	0.814398i
$160$	−169.476	−	93.2732i	−1.05922	−	0.582958i
$161$	−23.5409			−0.146217
$162$	149.989	−	61.2144i	0.925860	−	0.377867i
$163$		−	17.6410i		−	0.108227i	−0.998535	−	0.0541135i	$-0.982767\pi$
$163$		−	17.6410i		−	0.108227i	0.998535	−	0.0541135i	$-0.0172333\pi$
$164$	−172.845	−	75.2653i	−1.05393	−	0.458935i
$165$	154.175	−	228.502i	0.934392	−	1.38486i
$166$	−75.2544	+	84.2700i	−0.453340	+	0.507650i
$167$	71.8336	+	12.6662i	0.430141	+	0.0758455i	0.384527	−	0.923114i	$-0.374364\pi$
$167$	71.8336	+	12.6662i	0.430141	+	0.0758455i	0.0456140	+	0.998959i	$0.485476\pi$
$168$	38.0865	−	22.6102i	0.226705	−	0.134585i
$169$	−89.1745	+	74.8263i	−0.527660	+	0.442759i
$170$	25.4440	+	47.3840i	0.149670	+	0.278729i
$171$	−247.177	−	193.230i	−1.44548	−	1.13000i
$172$	52.1276	+	34.5427i	0.303067	+	0.200830i
$173$	32.7910	+	185.967i	0.189544	+	1.07495i	0.919977	+	0.391971i	$0.128207\pi$
$173$	32.7910	+	185.967i	0.189544	+	1.07495i	−0.730434	+	0.682983i	$0.760682\pi$
$174$	−41.3684	−	163.170i	−0.237750	−	0.937761i
$175$	7.28707	+	20.0211i	0.0416404	+	0.114406i
$176$	−54.4516	−	237.015i	−0.309384	−	1.34668i
$177$	−151.670	−	146.509i	−0.856895	−	0.827732i
$178$	−31.9362	−	220.677i	−0.179417	−	1.23976i
$179$	75.9146	+	43.8293i	0.424104	+	0.244856i	0.696832	−	0.717235i	$-0.254593\pi$
$179$	75.9146	+	43.8293i	0.424104	+	0.244856i	−0.272728	+	0.962091i	$0.587926\pi$
$180$	185.465	+	113.863i	1.03036	+	0.632574i
$181$	−27.2674	−	47.2286i	−0.150649	−	0.260931i	0.780817	−	0.624759i	$-0.214803\pi$
$181$	−27.2674	−	47.2286i	−0.150649	−	0.260931i	−0.931466	+	0.363828i	$0.881470\pi$
$182$	−16.5657	−	21.0251i	−0.0910205	−	0.115523i
$183$	−97.8514	+	10.2703i	−0.534707	+	0.0561220i
$184$	−98.4311	−	26.9205i	−0.534951	−	0.146307i
$185$	−11.1645	−	9.36813i	−0.0603487	−	0.0506386i
$186$	315.850	+	31.9359i	1.69812	+	0.171698i
$187$	−23.1249	+	63.5353i	−0.123663	+	0.339761i
$188$	−5.10423	+	82.7255i	−0.0271502	+	0.440029i
$189$	−44.0063	+	23.3742i	−0.232838	+	0.123673i
$190$	12.9842	−	421.276i	0.0683379	−	2.21724i
$191$	−99.4836	+	273.329i	−0.520857	+	1.43104i	0.348712	+	0.937230i	$0.386619\pi$
$191$	−99.4836	+	273.329i	−0.520857	+	1.43104i	−0.869569	+	0.493812i	$0.835603\pi$
$192$	185.107	−	50.9854i	0.964097	−	0.265549i
$193$	−226.587	−	190.129i	−1.17402	−	0.985123i	−1.00000		0.000381565i	$-0.999879\pi$
$193$	−226.587	−	190.129i	−1.17402	−	0.985123i	−0.174024	−	0.984741i	$-0.555677\pi$
$194$	−30.6051	+	146.942i	−0.157758	+	0.757433i
$195$	53.5110	−	120.141i	0.274415	−	0.616108i
$196$	146.663	−	108.403i	0.748279	−	0.553077i
$197$	−29.4010	−	50.9239i	−0.149243	−	0.258497i	0.781705	−	0.623649i	$-0.214350\pi$
$197$	−29.4010	−	50.9239i	−0.149243	−	0.258497i	−0.930948	+	0.365152i	$0.881017\pi$
$198$	48.5334	+	269.249i	0.245118	+	1.35984i
$199$	120.558	+	69.6042i	0.605819	+	0.349770i	0.771328	−	0.636438i	$-0.219593\pi$
$199$	120.558	+	69.6042i	0.605819	+	0.349770i	−0.165508	+	0.986208i	$0.552926\pi$
$200$	7.57398	+	92.0470i	0.0378699	+	0.460235i
$201$	−53.8358	+	215.791i	−0.267840	+	1.07359i
$202$	−23.9602	+	7.89377i	−0.118615	+	0.0390781i
$203$	17.7087	+	48.6541i	0.0872348	+	0.239676i
$204$	−50.8993	−	16.0866i	−0.249506	−	0.0788557i
$205$	49.4747	+	280.585i	0.241340	+	1.36871i
$206$	−194.541	−	120.458i	−0.944374	−	0.584747i
$207$	109.173	+	35.5072i	0.527404	+	0.171532i
$208$	−45.2225	−	106.856i	−0.217416	−	0.513731i
$209$	405.891	−	340.583i	1.94206	−	1.62958i
$210$	−60.2800	−	29.1062i	−0.287048	−	0.138601i
$211$	−63.2035	−	11.1445i	−0.299543	−	0.0528174i	0.0218570	−	0.999761i	$-0.493042\pi$
$211$	−63.2035	−	11.1445i	−0.299543	−	0.0528174i	−0.321400	+	0.946944i	$0.604153\pi$
$212$	−223.799	−	212.606i	−1.05566	−	1.00286i
$213$	124.132	+	254.601i	0.582779	+	1.19531i
$214$	−116.484	+	291.743i	−0.544319	+	1.36328i
$215$		−	94.5078i		−	0.439571i
$216$	−210.733	+	47.4101i	−0.975615	+	0.219491i
$217$	−97.6459			−0.449981
$218$	−286.913	−	114.556i	−1.31611	−	0.525485i
$219$	−17.6635	+	252.077i	−0.0806551	+	1.15104i
$220$	−253.136	+	266.464i	−1.15062	+	1.21120i
$221$	−5.60183	+	31.7696i	−0.0253477	+	0.143754i
$222$	14.4259	−	1.06605i	0.0649813	−	0.00480201i
$223$	−40.5997	−	48.3849i	−0.182062	−	0.216973i	0.667293	−	0.744795i	$-0.267453\pi$
$223$	−40.5997	−	48.3849i	−0.182062	−	0.216973i	−0.849354	+	0.527823i	$0.823008\pi$
$224$	−55.0696	+	21.3305i	−0.245846	+	0.0952252i
$225$	−3.59622	−	103.841i	−0.0159832	−	0.461514i
$226$	−10.6498	+	17.1995i	−0.0471228	+	0.0761040i
$227$	−223.183	+	39.3532i	−0.983184	+	0.173362i	−0.642058	−	0.766656i	$-0.721919\pi$
$227$	−223.183	+	39.3532i	−0.983184	+	0.173362i	−0.341126	+	0.940018i	$0.610808\pi$
$228$	282.405	+	308.613i	1.23862	+	1.35356i
$229$	200.458	−	72.9608i	0.875363	−	0.318606i	0.135026	−	0.990842i	$-0.456888\pi$
$229$	200.458	−	72.9608i	0.875363	−	0.318606i	0.740337	+	0.672236i	$0.234666\pi$
$230$	48.2577	+	146.478i	0.209816	+	0.636862i
$231$	−23.1837	−	80.8950i	−0.100362	−	0.350195i
$232$	18.4059	+	223.688i	0.0793357	+	0.964172i
$233$	106.877	−	185.117i	0.458701	−	0.794494i	−0.540191	−	0.841542i	$-0.681648\pi$
$233$	106.877	−	185.117i	0.458701	−	0.794494i	0.998893	+	0.0470483i	$0.0149815\pi$
$234$	45.1123	+	122.492i	0.192788	+	0.523471i
$235$	108.480	−	62.6307i	0.461615	−	0.266514i
$236$	167.124	+	226.108i	0.708152	+	0.958087i
$237$	−6.82402	+	4.95644i	−0.0287933	+	0.0209132i
$238$	16.0742	+	3.34794i	0.0675387	+	0.0140670i
$239$	193.541	−	230.653i	0.809795	−	0.965076i	−0.190066	−	0.981771i	$-0.560870\pi$
$239$	193.541	−	230.653i	0.809795	−	0.965076i	0.999861	+	0.0166953i	$0.00531451\pi$
$240$	−218.763	−	190.635i	−0.911512	−	0.794315i
$241$	−132.174	−	48.1075i	−0.548441	−	0.199616i	0.0529129	−	0.998599i	$-0.483149\pi$
$241$	−132.174	−	48.1075i	−0.548441	−	0.199616i	−0.601354	+	0.798983i	$0.705372\pi$
$242$	−219.935	−	6.77864i	−0.908823	−	0.0280109i
$243$	239.339	−	42.0240i	0.984933	−	0.172938i
$244$	130.936	+	8.07887i	0.536624	+	0.0331101i
$245$	−259.004	−	94.2699i	−1.05716	−	0.384775i
$246$	−229.430	−	165.310i	−0.932643	−	0.671991i
$247$	162.500	−	193.660i	0.657895	−	0.784049i
$248$	−408.286	−	111.664i	−1.64631	−	0.450259i
$249$	−137.119	+	99.5929i	−0.550680	+	0.399971i
$250$	−127.782	+	100.680i	−0.511129	+	0.402720i
$251$	230.389	−	133.015i	0.917885	−	0.529941i	0.0349254	−	0.999390i	$-0.488881\pi$
$251$	230.389	−	133.015i	0.917885	−	0.529941i	0.882960	+	0.469449i	$0.155547\pi$
$252$	63.0224	−	21.0292i	0.250089	−	0.0834494i
$253$	−96.9395	+	167.904i	−0.383160	+	0.663652i
$254$	232.347	−	33.6252i	0.914753	−	0.132383i
$255$	22.2258	+	77.5529i	0.0871601	+	0.304129i
$256$	−254.654	+	26.2132i	−0.994744	+	0.102395i
$257$	314.780	−	114.571i	1.22482	−	0.445800i	0.353003	−	0.935622i	$-0.385161\pi$
$257$	314.780	−	114.571i	1.22482	−	0.445800i	0.871822	+	0.489823i	$0.162938\pi$
$258$	65.4255	+	67.2166i	0.253587	+	0.260530i
$259$	−4.38168	+	0.772609i	−0.0169177	+	0.00298304i
$260$	−96.8655	+	146.177i	−0.372560	+	0.562221i
$261$	−8.73934	−	252.348i	−0.0334841	−	0.966850i
$262$	346.492	−	186.057i	1.32249	−	0.710142i
$263$	134.835	+	160.690i	0.512679	+	0.610987i	0.958834	−	0.283969i	$-0.0916512\pi$
$263$	134.835	+	160.690i	0.512679	+	0.610987i	−0.446154	+	0.894956i	$0.647207\pi$
$264$	−4.42893	−	364.757i	−0.0167763	−	1.38166i
$265$	−81.0104	+	459.433i	−0.305700	+	1.73371i
$266$	−95.9722	−	85.7047i	−0.360798	−	0.322198i
$267$	23.3791	−	333.645i	0.0875621	−	1.24961i
$268$	118.391	−	271.882i	0.441757	−	1.01448i
$269$	244.709			0.909697			0.454849	−	0.890569i	$-0.349693\pi$
$269$	244.709			0.909697			0.454849	+	0.890569i	$0.349693\pi$
$270$	235.652	+	225.904i	0.872785	+	0.836682i
$271$			431.195i			1.59113i	0.605870	+	0.795563i	$0.292825\pi$
$271$			431.195i			1.59113i	−0.605870	+	0.795563i	$0.707175\pi$
$272$	63.3823	+	32.3805i	0.233023	+	0.119046i
$273$	−17.5957	−	36.0897i	−0.0644531	−	0.132197i
$274$	139.702	+	124.756i	0.509860	+	0.455313i
$275$	172.807	+	30.4705i	0.628389	+	0.110802i
$276$	−135.726	−	70.7718i	−0.491760	−	0.256419i
$277$	24.8240	−	20.8298i	0.0896175	−	0.0751980i	−0.596878	−	0.802332i	$-0.703592\pi$
$277$	24.8240	−	20.8298i	0.0896175	−	0.0751980i	0.686496	+	0.727134i	$0.259148\pi$
$278$	−166.724	+	89.5264i	−0.599726	+	0.322037i
$279$	452.841	+	147.281i	1.62309	+	0.527890i
$280$	72.8456	+	51.5701i	0.260163	+	0.184179i
$281$	22.5038	+	127.625i	0.0800847	+	0.454183i	0.998309	+	0.0581231i	$0.0185116\pi$
$281$	22.5038	+	127.625i	0.0800847	+	0.454183i	−0.918225	+	0.396060i	$0.870377\pi$
$282$	−33.7960	+	119.643i	−0.119844	+	0.424265i
$283$	30.9916	+	85.1487i	0.109511	+	0.300879i	0.982328	−	0.187169i	$-0.0599313\pi$
$283$	30.9916	+	85.1487i	0.109511	+	0.300879i	−0.872817	+	0.488048i	$0.837709\pi$
$284$	−107.069	−	362.172i	−0.377003	−	1.27525i
$285$	153.035	−	613.413i	0.536965	−	2.15233i
$286$	−218.177	+	31.5744i	−0.762857	+	0.110400i
$287$	75.3264	+	43.4897i	0.262461	+	0.151532i
$288$	287.563	−	15.8592i	0.998483	−	0.0550666i
$289$	134.606	+	233.144i	0.465764	+	0.806727i
$290$	266.438	−	209.927i	0.918753	−	0.723887i
$291$	−91.6036	+	205.665i	−0.314789	+	0.706754i
$292$	78.8297	−	327.576i	0.269965	−	1.12183i
$293$	−198.471	−	166.537i	−0.677376	−	0.568386i	0.237862	−	0.971299i	$-0.423553\pi$
$293$	−198.471	−	166.537i	−0.677376	−	0.568386i	−0.915238	+	0.402913i	$0.867998\pi$
$294$	249.472	−	112.255i	0.848545	−	0.381821i
$295$	145.335	−	399.305i	0.492661	−	1.35357i
$296$	−19.2046	−	1.78023i	−0.0648804	−	0.00601429i
$297$	−14.4995	+	410.126i	−0.0488198	+	1.38089i
$298$	−137.146	−	4.22699i	−0.460221	−	0.0141845i
$299$	−31.6383	+	86.9255i	−0.105814	+	0.290721i
$300$	−18.1762	+	137.340i	−0.0605872	+	0.457799i
$301$	−22.1017	−	18.5455i	−0.0734275	−	0.0616130i
$302$	320.082	+	66.6667i	1.05987	+	0.220751i
$303$	−37.6338	+	3.94999i	−0.124204	+	0.0130363i
$304$	−303.278	−	468.106i	−0.997627	−	1.53982i
$305$	−99.1305	−	171.699i	−0.325018	−	0.562948i
$306$	−69.4957	−	39.7714i	−0.227110	−	0.129972i
$307$	144.159	+	83.2302i	0.469573	+	0.271108i	0.716061	−	0.698038i	$-0.245943\pi$
$307$	144.159	+	83.2302i	0.469573	+	0.271108i	−0.246488	+	0.969146i	$0.579277\pi$
$308$	12.6419	+	111.488i	0.0410450	+	0.361973i
$309$	−246.859	−	238.458i	−0.798897	−	0.771709i
$310$	200.170	+	607.582i	0.645709	+	1.95994i
$311$	−120.701	−	331.622i	−0.388105	−	1.06631i	−0.967854	−	0.251514i	$-0.919071\pi$
$311$	−120.701	−	331.622i	−0.388105	−	1.06631i	0.579749	−	0.814795i	$-0.303151\pi$
$312$	−32.3018	−	171.023i	−0.103531	−	0.548152i
$313$	−17.1825	−	97.4466i	−0.0548961	−	0.311331i	0.944979	−	0.327131i	$-0.106082\pi$
$313$	−17.1825	−	97.4466i	−0.0548961	−	0.311331i	−0.999875	+	0.0157996i	$0.994971\pi$
$314$	287.863	−	464.902i	0.916760	−	1.48058i
$315$	−79.1053	−	61.8406i	−0.251128	−	0.196319i
$316$	10.0666	−	5.01229i	0.0318563	−	0.0158617i
$317$	−109.898	+	92.2151i	−0.346681	+	0.290899i	−0.799455	−	0.600725i	$-0.794879\pi$
$317$	−109.898	+	92.2151i	−0.346681	+	0.290899i	0.452775	+	0.891625i	$0.350434\pi$
$318$	−260.438	−	382.843i	−0.818987	−	1.20391i
$319$	419.946	+	74.0478i	1.31645	+	0.232125i
$320$	245.615	+	298.933i	0.767546	+	0.934165i
$321$	−263.552	+	390.610i	−0.821033	+	1.21685i
$322$	43.7253	+	17.4582i	0.135793	+	0.0542180i
$323$			155.073i			0.480101i
$324$	−323.991	+	2.46686i	−0.999971	+	0.00761377i
$325$	83.7222			0.257607
$326$	−13.0828	+	32.7668i	−0.0401313	+	0.100512i
$327$	−384.143	−	259.188i	−1.17475	−	0.792625i
$328$	265.228	+	267.983i	0.808621	+	0.817022i
$329$	6.64036	−	37.6593i	0.0201835	−	0.114466i
$330$	−455.827	+	310.087i	−1.38129	+	0.939657i
$331$	−353.872	−	421.728i	−1.06910	−	1.27410i	−0.959978	−	0.280075i	$-0.909641\pi$
$331$	−353.872	−	421.728i	−1.06910	−	1.27410i	−0.109121	−	0.994028i	$-0.534804\pi$
$332$	202.275	−	100.715i	0.609261	−	0.303359i
$333$	21.4858	+	3.02594i	0.0645218	+	0.00908692i
$334$	−124.032	−	76.7992i	−0.371353	−	0.229938i
$335$	−441.354	+	77.8227i	−1.31748	+	0.232307i
$336$	−87.5106	+	13.7512i	−0.260448	+	0.0409262i
$337$	207.435	−	75.5002i	0.615534	−	0.224036i	−0.0153886	−	0.999882i	$-0.504899\pi$
$337$	207.435	−	75.5002i	0.615534	−	0.224036i	0.630923	+	0.775845i	$0.282676\pi$
$338$	221.127	−	72.8509i	0.654221	−	0.215535i
$339$	−21.0822	+	21.8250i	−0.0621895	+	0.0643805i
$340$	−12.1196	−	106.882i	−0.0356458	−	0.314358i
$341$	−402.098	+	696.455i	−1.17917	+	2.04239i
$342$	315.809	+	542.220i	0.923418	+	1.58544i
$343$	−151.186	+	87.2872i	−0.440775	+	0.254482i
$344$	−71.2055	−	102.819i	−0.206993	−	0.298892i
$345$	24.1478	+	230.070i	0.0699938	+	0.666871i
$346$	77.0089	−	369.737i	0.222569	−	1.06861i
$347$	−3.78870	+	4.51520i	−0.0109184	+	0.0130121i	−0.771476	−	0.636258i	$-0.780481\pi$
$347$	−3.78870	+	4.51520i	−0.0109184	+	0.0130121i	0.760558	+	0.649270i	$0.224926\pi$
$348$	−44.1708	+	333.755i	−0.126927	+	0.959067i
$349$	101.678	+	37.0077i	0.291341	+	0.106039i	0.483556	−	0.875313i	$-0.339345\pi$
$349$	101.678	+	37.0077i	0.291341	+	0.106039i	−0.192215	+	0.981353i	$0.561567\pi$
$350$	1.31272	−	42.5917i	0.00375064	−	0.121691i
$351$	27.1666	+	193.909i	0.0773978	+	0.552448i
$352$	−74.6339	+	480.618i	−0.212028	+	1.36539i
$353$	97.3695	+	35.4396i	0.275834	+	0.100395i	0.476233	−	0.879319i	$-0.342002\pi$
$353$	97.3695	+	35.4396i	0.275834	+	0.100395i	−0.200399	+	0.979714i	$0.564224\pi$
$354$	173.063	+	384.609i	0.488878	+	1.08647i
$355$	−366.884	+	437.235i	−1.03348	+	1.23165i
$356$	−104.338	+	433.573i	−0.293083	+	1.21790i
$357$	22.4980	+	10.0207i	0.0630197	+	0.0280691i
$358$	−108.501	−	137.709i	−0.303075	−	0.384661i
$359$	−45.6398	+	26.3501i	−0.127130	+	0.0733987i	−0.562217	−	0.826990i	$-0.690051\pi$
$359$	−45.6398	+	26.3501i	−0.127130	+	0.0733987i	0.435086	+	0.900389i	$0.356718\pi$
$360$	−260.043	−	349.035i	−0.722343	−	0.969542i
$361$	427.119	−	739.793i	1.18316	−	2.04929i
$362$	15.6218	+	107.945i	0.0431540	+	0.298191i
$363$	−320.244	−	79.8947i	−0.882214	−	0.220096i
$364$	15.1770	+	51.3378i	0.0416951	+	0.141038i
$365$	−478.492	+	174.157i	−1.31094	+	0.477142i
$366$	189.368	+	53.4915i	0.517398	+	0.146152i
$367$	−515.305	+	90.8621i	−1.40410	+	0.247581i	−0.823827	−	0.566841i	$-0.808165\pi$
$367$	−515.305	+	90.8621i	−1.40410	+	0.247581i	−0.580273	+	0.814422i	$0.697054\pi$
$368$	162.863	+	123.000i	0.442563	+	0.334240i
$369$	−283.736	−	315.303i	−0.768932	−	0.854481i
$370$	13.7897	+	25.6803i	0.0372693	+	0.0694062i
$371$	91.5465	+	109.101i	0.246756	+	0.294072i
$372$	−562.981	−	293.557i	−1.51339	−	0.789131i
$373$	49.7399	−	282.089i	0.133351	−	0.756271i	−0.842643	−	0.538473i	$-0.819001\pi$
$373$	49.7399	−	282.089i	0.133351	−	0.756271i	0.975994	−	0.217798i	$-0.0698875\pi$
$374$	90.0713	−	100.862i	0.240832	−	0.269684i
$375$	−219.339	+	106.940i	−0.584904	+	0.285172i
$376$	70.8310	−	149.871i	0.188380	−	0.398592i
$377$	203.457			0.539674
$378$	99.0728	−	10.7800i	0.262097	−	0.0285185i
$379$		−	341.343i		−	0.900640i	−0.892867	−	0.450320i	$-0.851310\pi$
$379$		−	341.343i		−	0.900640i	0.892867	−	0.450320i	$-0.148690\pi$
$380$	−336.541	+	772.858i	−0.885635	+	2.03384i
$381$	351.290	+	24.6155i	0.922022	+	0.0646076i
$382$	387.487	−	433.909i	1.01436	−	1.13589i
$383$	−398.644	−	70.2917i	−1.04085	−	0.183529i	−0.373002	−	0.927831i	$-0.621671\pi$
$383$	−398.644	−	70.2917i	−1.04085	−	0.183529i	−0.667844	+	0.744301i	$0.732783\pi$
$384$	−381.632	−	42.5762i	−0.993834	−	0.110875i
$385$	129.899	−	108.999i	0.337401	−	0.283113i
$386$	279.865	+	521.189i	0.725038	+	1.35023i
$387$	74.5258	+	119.343i	0.192573	+	0.308379i
$388$	165.821	−	250.236i	0.427373	−	0.644938i
$389$	54.3292	+	308.116i	0.139664	+	0.792073i	0.971498	+	0.237049i	$0.0761801\pi$
$389$	54.3292	+	308.116i	0.139664	+	0.792073i	−0.831834	+	0.555025i	$0.812709\pi$
$390$	−188.491	+	183.468i	−0.483309	+	0.470431i
$391$	−19.4072	−	53.3208i	−0.0496347	−	0.136370i
$392$	−352.807	+	92.5830i	−0.900018	+	0.236181i
$393$	567.100	−	162.525i	1.44300	−	0.413549i
$394$	16.8441	+	116.391i	0.0427515	+	0.295409i
$395$	−14.7183	−	8.49764i	−0.0372616	−	0.0215130i
$396$	109.531	−	536.101i	0.276594	−	1.35379i
$397$	−44.9130	−	77.7916i	−0.113131	−	0.195949i	0.803900	−	0.594764i	$-0.202755\pi$
$397$	−44.9130	−	77.7916i	−0.113131	−	0.195949i	−0.917031	+	0.398816i	$0.869421\pi$
$398$	−172.308	−	218.692i	−0.432934	−	0.549477i
$399$	−113.423	−	156.161i	−0.284268	−	0.391380i
$400$	54.1952	−	176.587i	0.135488	−	0.441467i
$401$	346.432	+	290.691i	0.863919	+	0.724914i	0.962809	−	0.270184i	$-0.0870846\pi$
$401$	346.432	+	290.691i	0.863919	+	0.724914i	−0.0988896	+	0.995098i	$0.531529\pi$
$402$	260.029	−	360.889i	0.646838	−	0.897734i
$403$	−131.234	+	360.561i	−0.325642	+	0.894693i
$404$	50.3583	+	3.10715i	0.124649	+	0.00769096i
$405$	273.582	+	406.107i	0.675511	+	1.00273i
$406$	3.19011	−	103.504i	0.00785742	−	0.254936i
$407$	−12.5328	+	34.4337i	−0.0307932	+	0.0846036i
$408$	82.6114	+	67.6271i	0.202479	+	0.165753i
$409$	−446.217	−	374.421i	−1.09100	−	0.915454i	−0.0942086	−	0.995552i	$-0.530032\pi$
$409$	−446.217	−	374.421i	−1.09100	−	0.915454i	−0.996787	+	0.0800985i	$0.974477\pi$
$410$	116.190	−	557.855i	0.283390	−	1.36062i
$411$	165.104	+	227.315i	0.401712	+	0.553077i
$412$	272.012	+	368.015i	0.660222	+	0.893240i
$413$	−64.8623	−	112.345i	−0.157052	−	0.272021i
$414$	−176.447	−	146.916i	−0.426201	−	0.354869i
$415$	−295.745	−	170.749i	−0.712639	−	0.411442i
$416$	4.75142	+	232.014i	0.0114217	+	0.557726i
$417$	−272.875	+	78.2032i	−0.654377	+	0.187538i
$418$	−1006.49	+	331.592i	−2.40787	+	0.793282i
$419$	−1.24630	−	3.42418i	−0.00297447	−	0.00817228i	0.938197	−	0.346103i	$-0.112495\pi$
$419$	−1.24630	−	3.42418i	−0.00297447	−	0.00817228i	−0.941171	+	0.337931i	$0.890273\pi$
$420$	90.3797	+	98.7669i	0.215190	+	0.235159i
$421$	−99.6390	−	565.081i	−0.236672	−	1.34223i	−0.839063	−	0.544034i	$-0.816896\pi$
$421$	−99.6390	−	565.081i	−0.236672	−	1.34223i	0.602391	−	0.798201i	$-0.294215\pi$
$422$	109.131	+	67.5725i	0.258603	+	0.160124i
$423$	−87.5976	+	164.633i	−0.207086	+	0.389202i
$424$	258.018	+	560.871i	0.608534	+	1.32281i
$425$	−39.3408	+	33.0109i	−0.0925667	+	0.0776726i
$426$	−41.7496	−	564.960i	−0.0980037	−	1.32620i
$427$	−59.6064	−	10.5102i	−0.139593	−	0.0246141i
$428$	432.721	−	455.503i	1.01103	−	1.06426i
$429$	−329.866	−	23.1143i	−0.768919	−	0.0538794i
$430$	−70.0882	+	175.541i	−0.162996	+	0.408234i
$431$		−	216.274i		−	0.501796i	−0.968013	−	0.250898i	$-0.919274\pi$
$431$		−	216.274i		−	0.501796i	0.968013	−	0.250898i	$-0.0807259\pi$
$432$	426.579	+	68.2217i	0.987452	+	0.157921i
$433$	−714.916			−1.65108			−0.825538	−	0.564346i	$-0.809128\pi$
$433$	−714.916			−1.65108			−0.825538	+	0.564346i	$0.809128\pi$
$434$	181.370	+	72.4155i	0.417902	+	0.166856i
$435$	457.343	−	222.980i	1.05136	−	0.512597i
$436$	447.962	+	425.556i	1.02743	+	0.976047i
$437$	−77.2160	+	437.913i	−0.176696	+	1.00209i
$438$	219.752	−	455.114i	0.501717	−	1.03907i
$439$	253.060	+	301.585i	0.576446	+	0.686982i	0.972941	−	0.231055i	$-0.0742178\pi$
$439$	253.060	+	301.585i	0.576446	+	0.686982i	−0.396494	+	0.918037i	$0.629773\pi$
$440$	667.794	−	307.206i	1.51771	−	0.698196i
$441$	401.404	−	85.2002i	0.910214	−	0.193198i
$442$	33.9657	−	54.8551i	0.0768454	−	0.124106i
$443$	470.103	−	82.8918i	1.06118	−	0.187115i	0.384300	−	0.923208i	$-0.374443\pi$
$443$	470.103	−	82.8918i	1.06118	−	0.187115i	0.676880	+	0.736093i	$0.263332\pi$
$444$	−27.5855	−	8.71830i	−0.0621294	−	0.0196358i
$445$	633.323	−	230.511i	1.42320	−	0.518002i
$446$	39.5279	+	119.980i	0.0886276	+	0.269014i
$447$	−199.696	−	49.8203i	−0.446746	−	0.111455i
$448$	118.106	+	1.22069i	0.263630	+	0.00272476i
$449$	38.7598	−	67.1339i	0.0863247	−	0.149519i	−0.819630	−	0.572893i	$-0.805821\pi$
$449$	38.7598	−	67.1339i	0.0863247	−	0.149519i	0.905955	+	0.423374i	$0.139154\pi$
$450$	−70.3298	+	195.543i	−0.156289	+	0.434539i
$451$	620.376	−	358.174i	1.37556	−	0.794178i
$452$	32.5364	−	24.0487i	0.0719833	−	0.0532051i
$453$	447.998	+	199.539i	0.988958	+	0.440483i
$454$	443.729	+	92.4199i	0.977377	+	0.203568i
$455$	52.0058	−	61.9781i	0.114298	−	0.136216i
$456$	−295.674	−	782.658i	−0.648408	−	1.71636i
$457$	101.275	+	36.8611i	0.221608	+	0.0806589i	0.450438	−	0.892808i	$-0.351268\pi$
$457$	101.275	+	36.8611i	0.221608	+	0.0806589i	−0.228830	+	0.973466i	$0.573490\pi$
$458$	−426.444	−	13.1435i	−0.931100	−	0.0286975i
$459$	−89.2221	−	80.4058i	−0.194384	−	0.175176i
$460$	18.9952	−	307.860i	0.0412940	−	0.669261i
$461$	−488.366	−	177.751i	−1.05936	−	0.385577i	−0.247174	−	0.968971i	$-0.579502\pi$
$461$	−488.366	−	177.751i	−1.05936	−	0.385577i	−0.812189	+	0.583395i	$0.801724\pi$
$462$	−16.9310	+	167.449i	−0.0366472	+	0.362444i
$463$	41.3504	−	49.2795i	0.0893097	−	0.106435i	−0.719539	−	0.694452i	$-0.755647\pi$
$463$	41.3504	−	49.2795i	0.0893097	−	0.106435i	0.808849	+	0.588017i	$0.200091\pi$
$464$	131.702	−	429.132i	0.283841	−	0.924854i
$465$	100.164	+	954.317i	0.215406	+	2.05229i
$466$	−335.801	+	264.579i	−0.720604	+	0.567765i
$467$	−355.370	+	205.173i	−0.760963	+	0.439342i	−0.829641	−	0.558297i	$-0.811455\pi$
$467$	−355.370	+	205.173i	−0.760963	+	0.439342i	0.0686786	+	0.997639i	$0.478122\pi$
$468$	7.04921	−	260.975i	0.0150624	−	0.557640i
$469$	−68.4085	+	118.487i	−0.145860	+	0.252637i
$470$	−247.940	+	35.8817i	−0.527532	+	0.0763441i
$471$	569.852	−	589.929i	1.20988	−	1.25250i
$472$	−142.734	−	543.920i	−0.302403	−	1.15237i
$473$	−223.288	+	81.2702i	−0.472068	+	0.171819i
$474$	16.3508	−	4.14541i	0.0344954	−	0.00874558i
$475$	396.339	−	69.8853i	0.834399	−	0.147127i
$476$	−27.3737	−	18.1394i	−0.0575077	−	0.0381079i
$477$	−259.995	−	644.046i	−0.545064	−	1.35020i
$478$	−530.542	+	284.887i	−1.10992	+	0.595999i
$479$	307.209	+	366.118i	0.641355	+	0.764337i	0.984584	−	0.174915i	$-0.0559650\pi$
$479$	307.209	+	366.118i	0.641355	+	0.764337i	−0.343228	+	0.939252i	$0.611521\pi$
$480$	264.957	+	516.328i	0.551994	+	1.07568i
$481$	−3.03598	+	17.2179i	−0.00631180	+	0.0357960i
$482$	209.826	+	187.378i	0.435323	+	0.388751i
$483$	58.5431	+	39.5001i	0.121207	+	0.0817807i
$484$	403.485	+	175.697i	0.833646	+	0.363011i
$485$	−453.681			−0.935424
$486$	−475.718	−	99.4404i	−0.978844	−	0.204610i
$487$		−	752.283i		−	1.54473i	−0.635180	−	0.772365i	$-0.719074\pi$
$487$		−	752.283i		−	1.54473i	0.635180	−	0.772365i	$-0.280926\pi$
$488$	−237.212	−	112.110i	−0.486090	−	0.229733i
$489$	−29.6005	+	43.8709i	−0.0605327	+	0.0897155i
$490$	411.168	+	367.180i	0.839119	+	0.749346i
$491$	−36.7623	−	6.48218i	−0.0748723	−	0.0132020i	0.136087	−	0.990697i	$-0.456547\pi$
$491$	−36.7623	−	6.48218i	−0.0748723	−	0.0132020i	−0.210959	+	0.977495i	$0.567659\pi$
$492$	303.552	+	477.198i	0.616976	+	0.969914i
$493$	−95.6040	+	80.2213i	−0.193923	+	0.162721i
$494$	−445.452	+	239.196i	−0.901724	+	0.484203i
$495$	−766.825	+	309.560i	−1.54914	+	0.625374i
$496$	675.546	+	510.197i	1.36199	+	1.02862i
$497$	30.2577	+	171.600i	0.0608806	+	0.345271i
$498$	328.548	−	83.2963i	0.659734	−	0.167262i
$499$	229.552	+	630.690i	0.460024	+	1.26391i	0.925467	+	0.378829i	$0.123673\pi$
$499$	229.552	+	630.690i	0.460024	+	1.26391i	−0.465442	+	0.885078i	$0.654105\pi$
$500$	312.011	−	92.2399i	0.624022	−	0.184480i
$501$	−157.388	−	152.031i	−0.314147	−	0.303456i
$502$	−526.575	+	76.2057i	−1.04895	+	0.151804i
$503$	99.4014	+	57.3894i	0.197617	+	0.114094i	0.595544	−	0.803323i	$-0.296937\pi$
$503$	99.4014	+	57.3894i	0.197617	+	0.114094i	−0.397926	+	0.917417i	$0.630270\pi$
$504$	−132.655	−	7.67809i	−0.263204	−	0.0152343i
$505$	−38.1258	−	66.0358i	−0.0754966	−	0.130764i
$506$	304.577	−	239.977i	0.601931	−	0.474263i
$507$	347.319	−	36.4541i	0.685048	−	0.0719016i
$508$	−456.504	−	109.856i	−0.898629	−	0.216251i
$509$	−149.473	−	125.422i	−0.293659	−	0.246410i	0.484040	−	0.875046i	$-0.339169\pi$
$509$	−149.473	−	125.422i	−0.293659	−	0.246410i	−0.777699	+	0.628636i	$0.783613\pi$
$510$	16.2315	−	160.531i	0.0318265	−	0.314767i
$511$	−53.1672	+	146.076i	−0.104045	+	0.285862i
$512$	492.440	+	140.166i	0.961798	+	0.273762i
$513$	290.468	+	895.286i	0.566215	+	1.74520i
$514$	−669.646	−	20.6392i	−1.30281	−	0.0401541i
$515$	236.548	−	649.910i	0.459316	−	1.26196i
$516$	−71.6740	−	173.370i	−0.138903	−	0.335988i
$517$	−241.259	−	202.440i	−0.466652	−	0.391567i
$518$	8.71160	+	1.81445i	0.0168178	+	0.00350280i
$519$	230.494	−	517.498i	0.444112	−	0.997105i
$520$	288.327	−	199.676i	0.554475	−	0.383993i
$521$	−84.2253	−	145.882i	−0.161661	−	0.280005i	0.773804	−	0.633426i	$-0.218352\pi$
$521$	−84.2253	−	145.882i	−0.161661	−	0.280005i	−0.935464	+	0.353421i	$0.885018\pi$
$522$	−170.912	+	475.197i	−0.327417	+	0.910340i
$523$	131.568	+	75.9606i	0.251563	+	0.145240i	0.620480	−	0.784222i	$-0.286938\pi$
$523$	131.568	+	75.9606i	0.251563	+	0.145240i	−0.368917	+	0.929462i	$0.620271\pi$
$524$	−781.564	+	88.6235i	−1.49153	+	0.169129i
$525$	15.4721	−	62.0171i	0.0294706	−	0.118128i
$526$	−131.275	−	398.463i	−0.249572	−	0.757535i
$527$	−80.4996	−	221.171i	−0.152751	−	0.419679i
$528$	−262.282	+	680.792i	−0.496747	+	1.28938i
$529$	63.6057	+	360.726i	0.120238	+	0.681902i
$530$	491.192	−	793.281i	0.926777	−	1.49676i
$531$	131.352	+	618.841i	0.247368	+	1.16543i
$532$	114.701	+	230.364i	0.215603	+	0.433015i
$533$	261.824	−	219.696i	0.491227	−	0.412188i
$534$	−290.860	+	602.381i	−0.544682	+	1.12805i
$535$	−935.091	−	164.882i	−1.74783	−	0.308190i
$536$	−421.533	+	417.198i	−0.786441	+	0.778355i
$537$	−115.247	−	236.378i	−0.214613	−	0.440182i
$538$	−454.527	−	181.479i	−0.844845	−	0.337322i
$539$			693.000i			1.28571i
$540$	−270.171	−	594.362i	−0.500317	−	1.10067i
$541$	661.494			1.22272			0.611362	−	0.791351i	$-0.290622\pi$
$541$	661.494			1.22272			0.611362	+	0.791351i	$0.290622\pi$
$542$	319.780	−	800.911i	0.590000	−	1.47770i
$543$	−11.4360	+	163.204i	−0.0210608	+	0.300561i
$544$	−93.7137	−	107.149i	−0.172268	−	0.196966i
$545$	162.152	−	919.610i	0.297527	−	1.68736i
$546$	5.91800	+	80.0830i	0.0108388	+	0.146672i
$547$	424.901	+	506.378i	0.776785	+	0.925737i	0.998783	−	0.0493105i	$-0.0157024\pi$
$547$	424.901	+	506.378i	0.776785	+	0.925737i	−0.221998	+	0.975047i	$0.571258\pi$
$548$	−166.964	−	335.328i	−0.304679	−	0.611913i
$549$	260.577	+	138.647i	0.474639	+	0.252545i
$550$	−298.378	−	184.752i	−0.542505	−	0.335913i
$551$	963.163	−	169.832i	1.74803	−	0.308224i
$552$	199.615	+	232.109i	0.361621	+	0.420487i
$553$	−4.87549	+	1.77453i	−0.00881643	+	0.00320892i
$554$	−61.5564	+	20.2799i	−0.111113	+	0.0366064i
$555$	12.0455	+	42.0307i	0.0217037	+	0.0757309i
$556$	376.070	−	42.6436i	0.676386	−	0.0766971i
$557$	−3.82123	+	6.61856i	−0.00686037	+	0.0118825i	−0.869435	−	0.494047i	$-0.835517\pi$
$557$	−3.82123	+	6.61856i	−0.00686037	+	0.0118825i	0.862575	+	0.505929i	$0.168850\pi$
$558$	−731.891	−	609.396i	−1.31163	−	1.09211i
$559$	−98.1841	+	56.6866i	−0.175642	+	0.101407i
$560$	−97.0599	−	149.811i	−0.173321	−	0.267519i
$561$	164.117	−	119.202i	0.292544	−	0.212481i
$562$	52.8496	−	253.743i	0.0940385	−	0.451500i
$563$	−256.786	+	306.025i	−0.456103	+	0.543562i	−0.944263	−	0.329192i	$-0.893224\pi$
$563$	−256.786	+	306.025i	−0.456103	+	0.543562i	0.488160	+	0.872754i	$0.337668\pi$
$564$	151.502	−	197.163i	0.268620	−	0.349580i
$565$	−57.4589	−	20.9133i	−0.101697	−	0.0370148i
$566$	5.58295	−	181.141i	0.00986388	−	0.320036i
$567$	148.658	+	15.7113i	0.262184	+	0.0277095i
$568$	−69.7192	+	752.109i	−0.122745	+	1.32414i
$569$	−262.682	−	95.6085i	−0.461656	−	0.168029i	0.100713	−	0.994916i	$-0.467888\pi$
$569$	−262.682	−	95.6085i	−0.461656	−	0.168029i	−0.562369	+	0.826887i	$0.690110\pi$
$570$	−739.166	+	1025.87i	−1.29678	+	1.79978i
$571$	−221.416	+	263.873i	−0.387768	+	0.462124i	−0.924250	−	0.381788i	$-0.875309\pi$
$571$	−221.416	+	263.873i	−0.387768	+	0.462124i	0.536482	+	0.843912i	$0.319753\pi$
$572$	428.663	+	103.156i	0.749410	+	0.180342i
$573$	706.032	−	512.807i	1.23217	−	0.894951i
$574$	−107.660	−	136.642i	−0.187561	−	0.238052i
$575$	−127.533	+	73.6311i	−0.221796	+	0.128054i
$576$	−545.887	−	183.803i	−0.947720	−	0.319103i
$577$	157.192	−	272.264i	0.272429	−	0.471861i	−0.697054	−	0.717018i	$-0.745506\pi$
$577$	157.192	−	272.264i	0.272429	−	0.471861i	0.969483	+	0.245158i	$0.0788397\pi$
$578$	−77.1169	−	532.872i	−0.133420	−	0.921924i
$579$	244.468	+	853.024i	0.422224	+	1.47327i
$580$	−650.573	+	192.329i	−1.12168	+	0.331602i
$581$	−97.9663	+	35.6568i	−0.168617	+	0.0613715i
$582$	322.671	−	314.073i	0.554417	−	0.539644i
$583$	1155.14	−	203.682i	1.98137	−	0.349369i
$584$	−389.354	+	549.984i	−0.666702	+	0.941754i
$585$	−334.664	+	208.987i	−0.572075	+	0.357243i
$586$	245.138	+	456.518i	0.418325	+	0.779041i
$587$	−503.505	−	600.054i	−0.857761	−	1.02224i	−0.999477	−	0.0323320i	$-0.989707\pi$
$587$	−503.505	−	600.054i	−0.857761	−	1.02224i	0.141717	−	0.989907i	$-0.454738\pi$
$588$	−546.624	+	23.4936i	−0.929633	+	0.0399550i
$589$	−320.287	+	1816.44i	−0.543780	+	3.08393i
$590$	−566.078	+	633.894i	−0.959453	+	1.07440i
$591$	−12.3308	+	175.974i	−0.0208643	+	0.297757i
$592$	34.3507	+	17.5490i	0.0580249	+	0.0296436i
$593$	490.712			0.827508			0.413754	−	0.910389i	$-0.364217\pi$
$593$	490.712			0.827508			0.413754	+	0.910389i	$0.364217\pi$
$594$	331.086	−	751.023i	0.557384	−	1.26435i
$595$			49.6288i			0.0834097i
$596$	251.603	+	109.560i	0.422152	+	0.183826i
$597$	−183.021	−	375.386i	−0.306568	−	0.628787i
$598$	123.231	−	137.994i	0.206071	−	0.230759i
$599$	−384.673	−	67.8282i	−0.642192	−	0.113236i	−0.156937	−	0.987609i	$-0.550162\pi$
$599$	−384.673	−	67.8282i	−0.642192	−	0.113236i	−0.485255	+	0.874373i	$0.661273\pi$
$600$	135.614	−	241.618i	0.226023	−	0.402696i
$601$	65.4818	−	54.9458i	0.108955	−	0.0914239i	−0.586683	−	0.809817i	$-0.699566\pi$
$601$	65.4818	−	54.9458i	0.108955	−	0.0914239i	0.695638	+	0.718393i	$0.255122\pi$
$602$	27.2985	+	50.8377i	0.0453464	+	0.0844480i
$603$	495.966	−	446.311i	0.822498	−	0.740151i
$604$	−545.086	−	361.205i	−0.902460	−	0.598021i
$605$	−115.492	−	654.990i	−0.190897	−	1.08263i
$606$	72.8312	+	20.5729i	0.120184	+	0.0339488i
$607$	−273.102	−	750.341i	−0.449921	−	1.23615i	−0.932779	−	0.360449i	$-0.882624\pi$
$607$	−273.102	−	750.341i	−0.449921	−	1.23615i	0.482858	−	0.875699i	$-0.339599\pi$
$608$	216.162	+	1094.39i	0.355530	+	1.79998i
$609$	37.5994	−	150.711i	0.0617396	−	0.247472i
$610$	56.7928	+	392.434i	0.0931029	+	0.643334i
$611$	−130.134	−	75.1329i	−0.212985	−	0.122967i
$612$	99.5878	+	125.411i	0.162725	+	0.204920i
$613$	393.511	+	681.581i	0.641943	+	1.11188i	0.984999	+	0.172563i	$0.0552047\pi$
$613$	393.511	+	681.581i	0.641943	+	1.11188i	−0.343056	+	0.939315i	$0.611462\pi$
$614$	−206.039	−	261.504i	−0.335569	−	0.425902i
$615$	347.766	−	780.793i	0.565474	−	1.26958i
$616$	59.1994	−	216.455i	0.0961029	−	0.351388i
$617$	19.2072	+	16.1168i	0.0311300	+	0.0261212i	0.658220	−	0.752826i	$-0.271310\pi$
$617$	19.2072	+	16.1168i	0.0311300	+	0.0261212i	−0.627090	+	0.778947i	$0.715754\pi$
$618$	281.678	+	625.991i	0.455790	+	1.01293i
$619$	10.7828	−	29.6256i	0.0174198	−	0.0478604i	−0.930678	−	0.365839i	$-0.880782\pi$
$619$	10.7828	−	29.6256i	0.0174198	−	0.0478604i	0.948098	+	0.317979i	$0.103004\pi$
$620$	78.7909	−	1276.98i	0.127082	−	2.05965i
$621$	−211.920	−	271.487i	−0.341256	−	0.437177i
$622$	−21.7435	+	705.475i	−0.0349574	+	1.13420i
$623$	70.3712	−	193.343i	0.112955	−	0.310342i
$624$	−66.8351	+	341.618i	−0.107108	+	0.547464i
$625$	−597.773	−	501.591i	−0.956437	−	0.802546i
$626$	−40.3526	+	193.742i	−0.0644610	+	0.309492i
$627$	−1580.88	+	165.926i	−2.52133	+	0.264635i
$628$	−879.459	+	650.036i	−1.40041	+	1.03509i
$629$	−5.36225	−	9.28770i	−0.00852505	−	0.0147658i
$630$	101.070	+	173.529i	0.160429	+	0.275444i
$631$	−632.428	−	365.132i	−1.00226	−	0.578657i	−0.0933456	−	0.995634i	$-0.529756\pi$
$631$	−632.428	−	365.132i	−1.00226	−	0.578657i	−0.908917	+	0.416977i	$0.863089\pi$
$632$	−22.4151	+	1.84440i	−0.0354669	+	0.00291835i
$633$	138.479	+	133.766i	0.218766	+	0.211321i
$634$	272.514	−	89.7807i	0.429833	−	0.141610i
$635$	242.702	+	666.818i	0.382208	+	1.05011i
$636$	199.821	+	904.245i	0.314184	+	1.42177i
$637$	57.4162	+	325.623i	0.0901353	+	0.511183i
$638$	−725.102	−	448.975i	−1.13652	−	0.703723i
$639$	118.505	−	841.446i	0.185454	−	1.31682i
$640$	−234.517	−	737.395i	−0.366433	−	1.15218i
$641$	−529.614	+	444.399i	−0.826230	+	0.693290i	−0.954422	−	0.298460i	$-0.903527\pi$
$641$	−529.614	+	444.399i	−0.826230	+	0.693290i	0.128192	+	0.991749i	$0.459083\pi$
$642$	779.208	−	530.074i	1.21372	−	0.825660i
$643$	−584.297	−	103.027i	−0.908704	−	0.160229i	−0.300289	−	0.953848i	$-0.597083\pi$
$643$	−584.297	−	103.027i	−0.908704	−	0.160229i	−0.608415	+	0.793619i	$0.708194\pi$
$644$	−68.2690	−	64.8545i	−0.106008	−	0.100706i
$645$	−158.578	+	235.029i	−0.245858	+	0.364385i
$646$	115.004	−	288.035i	0.178025	−	0.445875i
$647$			159.465i			0.246468i	0.992378	+	0.123234i	$0.0393266\pi$
$647$			159.465i			0.246468i	−0.992378	+	0.123234i	$0.960673\pi$
$648$	603.616	+	235.694i	0.931506	+	0.363725i
$649$	−1068.39			−1.64621
$650$	−155.507	−	62.0894i	−0.239242	−	0.0955222i
$651$	242.833	+	163.844i	0.373015	+	0.251680i
$652$	48.6005	−	51.1593i	0.0745406	−	0.0784651i
$653$	−11.3776	+	64.5255i	−0.0174236	+	0.0988139i	−0.992279	−	0.124023i	$-0.960420\pi$
$653$	−11.3776	+	64.5255i	−0.0174236	+	0.0988139i	0.974856	+	0.222836i	$0.0715316\pi$
$654$	521.298	+	766.307i	0.797091	+	1.17172i
$655$	764.116	+	910.637i	1.16659	+	1.39029i
$656$	−293.900	−	694.454i	−0.448018	−	1.05862i
$657$	466.896	−	597.245i	0.710649	−	0.909049i
$658$	−40.2626	+	65.0246i	−0.0611893	+	0.0988216i
$659$	808.587	−	142.576i	1.22699	−	0.216352i	0.477658	−	0.878546i	$-0.341486\pi$
$659$	808.587	−	142.576i	1.22699	−	0.216352i	0.749332	+	0.662194i	$0.230375\pi$
$660$	1076.63	−	237.914i	1.63125	−	0.360476i
$661$	851.333	−	309.860i	1.28795	−	0.468774i	0.394894	−	0.918727i	$-0.370781\pi$
$661$	851.333	−	309.860i	1.28795	−	0.468774i	0.893053	+	0.449952i	$0.148559\pi$
$662$	344.530	+	1045.76i	0.520438	+	1.57970i
$663$	67.2384	−	69.6073i	0.101415	−	0.104988i
$664$	−450.401	+	37.0607i	−0.678315	+	0.0558143i
$665$	194.460	−	336.814i	0.292421	−	0.506487i
$666$	−37.6640	−	21.5546i	−0.0565525	−	0.0323642i
$667$	−309.923	+	178.934i	−0.464653	+	0.268267i
$668$	173.424	+	234.632i	0.259617	+	0.351245i
$669$	19.7795	+	188.451i	0.0295658	+	0.281690i
$670$	877.495	+	182.765i	1.30969	+	0.272783i
$671$	−320.418	+	381.859i	−0.477523	+	0.569090i
$672$	172.742	+	39.3572i	0.257057	+	0.0585673i
$673$	−849.317	−	309.126i	−1.26199	−	0.459325i	−0.377551	−	0.925989i	$-0.623234\pi$
$673$	−849.317	−	309.126i	−1.26199	−	0.459325i	−0.884435	+	0.466663i	$0.845456\pi$
$674$	−441.286	−	13.6009i	−0.654727	−	0.0201794i
$675$	−165.295	+	264.272i	−0.244881	+	0.391515i
$676$	−464.752	−	28.6756i	−0.687504	−	0.0424195i
$677$	1025.28	+	373.172i	1.51445	+	0.551214i	0.959754	−	0.280840i	$-0.0906132\pi$
$677$	1025.28	+	373.172i	1.51445	+	0.551214i	0.554694	+	0.832055i	$0.312835\pi$
$678$	55.3442	−	24.9033i	0.0816287	−	0.0367306i
$679$	−89.0269	+	106.098i	−0.131115	+	0.156256i
$680$	−56.7536	+	207.512i	−0.0834612	+	0.305165i
$681$	621.059	+	276.621i	0.911981	+	0.406198i
$682$	1263.37	−	995.408i	1.85244	−	1.45954i
$683$	−550.865	+	318.042i	−0.806538	+	0.465655i	−0.845752	−	0.533576i	$-0.820848\pi$
$683$	−550.865	+	318.042i	−0.806538	+	0.465655i	0.0392143	+	0.999231i	$0.487515\pi$
$684$	−184.473	−	1241.34i	−0.269697	−	1.81482i
$685$	−283.065	+	490.282i	−0.413233	+	0.715741i
$686$	345.549	−	50.0076i	0.503716	−	0.0728974i
$687$	−620.937	−	154.912i	−0.903839	−	0.225491i
$688$	56.0068	+	243.785i	0.0814052	+	0.354338i
$689$	525.895	−	191.410i	0.763273	−	0.277809i
$690$	125.770	−	445.246i	0.182276	−	0.645284i
$691$	645.060	−	113.741i	0.933516	−	0.164604i	0.313853	−	0.949472i	$-0.398380\pi$
$691$	645.060	−	113.741i	0.933516	−	0.164604i	0.619663	+	0.784868i	$0.287269\pi$
$692$	−417.240	+	629.647i	−0.602948	+	0.909895i
$693$	−78.0820	+	240.076i	−0.112672	+	0.346430i
$694$	10.3857	−	5.57687i	0.0149650	−	0.00803584i
$695$	−367.674	−	438.177i	−0.529028	−	0.630471i
$696$	329.561	−	587.167i	0.473507	−	0.843630i
$697$	−36.4061	+	206.469i	−0.0522326	+	0.296226i
$698$	−161.413	−	144.144i	−0.231251	−	0.206511i
$699$	−576.405	+	281.029i	−0.824614	+	0.402044i
$700$	−34.0248	+	78.1372i	−0.0486069	+	0.111625i
$701$	−349.923			−0.499177			−0.249589	−	0.968352i	$-0.580295\pi$
$701$	−349.923			−0.499177			−0.249589	+	0.968352i	$0.580295\pi$
$702$	93.3456	−	380.318i	0.132971	−	0.541763i
$703$			84.0434i			0.119550i
$704$	495.059	−	837.361i	0.703209	−	1.18943i
$705$	−374.865	−	26.2674i	−0.531724	−	0.0372588i
$706$	−154.574	−	138.037i	−0.218943	−	0.195519i
$707$	−22.9247	−	4.04225i	−0.0324254	−	0.00571746i
$708$	−36.2198	−	842.726i	−0.0511579	−	1.19029i
$709$	139.215	−	116.815i	0.196353	−	0.164760i	−0.539310	−	0.842107i	$-0.681315\pi$
$709$	139.215	−	116.815i	0.196353	−	0.164760i	0.735664	+	0.677347i	$0.236870\pi$
$710$	1005.72	−	540.044i	1.41650	−	0.760625i
$711$	25.2870	−	0.875743i	0.0355655	−	0.00123171i
$712$	515.343	−	727.950i	0.723796	−	1.02240i
$713$	−117.196	−	664.654i	−0.164371	−	0.932193i
$714$	−34.3568	−	35.2974i	−0.0481188	−	0.0494361i
$715$	−227.900	−	626.150i	−0.318741	−	0.875734i
$716$	99.4053	+	336.248i	0.138834	+	0.469621i
$717$	−868.333	+	248.855i	−1.21106	+	0.347078i
$718$	104.314	−	15.0962i	0.145284	−	0.0210254i
$719$	74.8435	+	43.2109i	0.104094	+	0.0600987i	0.551143	−	0.834411i	$-0.314192\pi$
$719$	74.8435	+	43.2109i	0.104094	+	0.0600987i	−0.447049	+	0.894509i	$0.647525\pi$
$720$	224.161	+	841.156i	0.311335	+	1.16827i
$721$	−105.570	−	182.853i	−0.146422	−	0.253610i
$722$	−1341.98	+	1057.35i	−1.85870	+	1.46447i
$723$	247.979	+	341.417i	0.342986	+	0.472223i
$724$	51.0374	−	212.085i	0.0704936	−	0.292935i
$725$	248.117	+	208.195i	0.342230	+	0.287165i
$726$	535.576	+	385.895i	0.737708	+	0.531536i
$727$	−115.949	+	318.567i	−0.159490	+	0.438194i	−0.993538	−	0.113497i	$-0.963795\pi$
$727$	−115.949	+	318.567i	−0.159490	+	0.438194i	0.834049	+	0.551691i	$0.186017\pi$
$728$	9.88269	−	106.611i	0.0135751	−	0.146444i
$729$	−665.718	−	297.087i	−0.913193	−	0.407527i
$730$	1017.92	+	31.3733i	1.39441	+	0.0429772i
$731$	23.7854	−	65.3499i	0.0325382	−	0.0893980i
$732$	−312.066	−	239.794i	−0.426319	−	0.327587i
$733$	−307.759	−	258.240i	−0.419862	−	0.352306i	0.408249	−	0.912871i	$-0.366140\pi$
$733$	−307.759	−	258.240i	−0.419862	−	0.352306i	−0.828110	+	0.560565i	$0.810584\pi$
$734$	1024.52	+	213.387i	1.39581	+	0.290719i
$735$	485.931	+	669.030i	0.661131	+	0.910245i
$736$	−211.287	−	349.245i	−0.287075	−	0.474518i
$737$	563.402	+	975.840i	0.764453	+	1.32407i
$738$	293.184	+	796.073i	0.397268	+	1.07869i
$739$	−472.153	−	272.598i	−0.638908	−	0.368874i	0.145286	−	0.989390i	$-0.453590\pi$
$739$	−472.153	−	272.598i	−0.638908	−	0.368874i	−0.784194	+	0.620516i	$0.786923\pi$
$740$	−6.56834	−	57.9257i	−0.00887613	−	0.0782780i
$741$	−729.066	+	208.943i	−0.983895	+	0.281974i
$742$	−89.1297	−	270.538i	−0.120121	−	0.364607i
$743$	−468.474	−	1287.12i	−0.630517	−	1.73233i	−0.679646	−	0.733540i	$-0.737867\pi$
$743$	−468.474	−	1287.12i	−0.630517	−	1.73233i	0.0491289	−	0.998792i	$-0.484355\pi$
$744$	827.988	+	962.772i	1.11289	+	1.29405i
$745$	−72.0181	−	408.435i	−0.0966686	−	0.548235i
$746$	−301.589	+	487.070i	−0.404275	+	0.652909i
$747$	508.109	−	17.5969i	0.680199	−	0.0235567i
$748$	−242.101	+	120.545i	−0.323664	+	0.161156i
$749$	−222.055	+	186.326i	−0.296468	+	0.248767i
$750$	486.713	−	35.9672i	0.648950	−	0.0479563i
$751$	292.724	+	51.6151i	0.389779	+	0.0687285i	0.365103	−	0.930967i	$-0.381034\pi$
$751$	292.724	+	51.6151i	0.389779	+	0.0687285i	0.0246753	+	0.999696i	$0.492145\pi$
$752$	−242.709	+	225.844i	−0.322751	+	0.300324i
$753$	−796.139	−	55.7868i	−1.05729	−	0.0740861i
$754$	−377.905	−	150.886i	−0.501201	−	0.200115i
$755$			988.246i			1.30894i
$756$	−192.014	−	53.4507i	−0.253987	−	0.0707019i
$757$	460.039			0.607714			0.303857	−	0.952718i	$-0.401726\pi$
$757$	460.039			0.607714			0.303857	+	0.952718i	$0.401726\pi$
$758$	−253.144	+	634.017i	−0.333963	+	0.836434i
$759$	522.808	−	254.897i	0.688812	−	0.335833i
$760$	1198.26	−	1185.94i	1.57666	−	1.56045i
$761$	−121.257	+	687.685i	−0.159340	+	0.903660i	0.795371	+	0.606123i	$0.207276\pi$
$761$	−121.257	+	687.685i	−0.159340	+	0.903660i	−0.954710	+	0.297537i	$0.903835\pi$
$762$	−634.239	−	306.243i	−0.832334	−	0.401894i
$763$	−183.241	−	218.379i	−0.240159	−	0.286210i
$764$	−1041.52	+	518.585i	−1.36324	+	0.678776i
$765$	74.8561	−	230.158i	0.0978511	−	0.300860i
$766$	688.320	+	426.201i	0.898590	+	0.556398i
$767$	−502.010	+	88.5180i	−0.654512	+	0.115408i
$768$	677.277	+	362.105i	0.881871	+	0.471491i
$769$	564.926	−	205.616i	0.734624	−	0.267381i	0.0525034	−	0.998621i	$-0.483280\pi$
$769$	564.926	−	205.616i	0.734624	−	0.267381i	0.682121	+	0.731239i	$0.261058\pi$
$770$	−322.113	+	106.121i	−0.418328	+	0.137820i
$771$	−975.059	−	243.259i	−1.26467	−	0.315511i
$772$	−133.306	−	1175.62i	−0.172676	−	1.52282i
$773$	564.367	−	977.512i	0.730099	−	1.26457i	−0.226741	−	0.973955i	$-0.572807\pi$
$773$	564.367	−	977.512i	0.730099	−	1.26457i	0.956840	−	0.290614i	$-0.0938595\pi$
$774$	−49.9196	−	276.939i	−0.0644956	−	0.357802i
$775$	−528.997	+	305.417i	−0.682577	+	0.394086i
$776$	−493.577	+	341.819i	−0.636053	+	0.440488i
$777$	12.1931	+	5.43081i	0.0156925	+	0.00698946i
$778$	127.591	−	612.593i	0.163999	−	0.787395i
$779$	1056.08	−	1258.59i	1.35569	−	1.61565i
$780$	486.169	−	200.990i	0.623293	−	0.257680i
$781$	1348.53	+	490.823i	1.72667	+	0.628455i
$782$	−3.49609	+	113.432i	−0.00447070	+	0.145053i
$783$	−401.690	+	642.221i	−0.513015	+	0.820205i
$784$	723.972	+	89.6808i	0.923434	+	0.114389i
$785$	1553.11	+	565.287i	1.97849	+	0.720111i
$786$	−1173.87	−	118.692i	−1.49348	−	0.151007i
$787$	−241.147	+	287.388i	−0.306414	+	0.365169i	−0.897174	−	0.441678i	$-0.854383\pi$
$787$	−241.147	+	287.388i	−0.306414	+	0.365169i	0.590760	+	0.806847i	$0.298828\pi$
$788$	55.0307	−	228.679i	0.0698360	−	0.290202i
$789$	−65.6892	−	625.858i	−0.0832562	−	0.793230i
$790$	21.0362	+	26.6990i	0.0266281	+	0.0337962i
$791$	−16.1661	+	9.33352i	−0.0204376	+	0.0117996i
$792$	−601.025	+	914.535i	−0.758870	+	1.15472i
$793$	−118.919	+	205.973i	−0.149961	+	0.259739i
$794$	25.7311	+	177.800i	0.0324069	+	0.223929i
$795$	972.362	−	1006.62i	1.22310	−	1.26619i
$796$	157.863	+	533.988i	0.198320	+	0.670839i
$797$	590.232	−	214.827i	0.740567	−	0.269544i	0.0559363	−	0.998434i	$-0.482186\pi$
$797$	590.232	−	214.827i	0.740567	−	0.269544i	0.684631	+	0.728890i	$0.259963\pi$
$798$	94.8634	+	374.172i	0.118876	+	0.468887i
$799$	90.7738	−	16.0059i	0.113609	−	0.0200324i
$800$	−231.622	+	287.804i	−0.289528	+	0.359756i
$801$	−617.976	+	790.504i	−0.771506	+	0.986896i
$802$	−427.889	−	796.853i	−0.533528	−	0.993582i
$803$	822.940	+	980.741i	1.02483	+	1.22135i
$804$	−750.623	+	477.482i	−0.933611	+	0.593883i
$805$	−24.7118	+	140.148i	−0.0306979	+	0.174097i
$806$	511.153	−	572.389i	0.634185	−	0.710160i
$807$	−608.559	−	410.606i	−0.754100	−	0.508805i
$808$	−91.2323	−	43.1177i	−0.112911	−	0.0533634i
$809$	−743.913			−0.919547			−0.459773	−	0.888036i	$-0.652069\pi$
$809$	−743.913			−0.919547			−0.459773	+	0.888036i	$0.652069\pi$
$810$	−206.983	−	957.204i	−0.255534	−	1.18173i
$811$			359.086i			0.442770i	0.975187	+	0.221385i	$0.0710577\pi$
$811$			359.086i			0.442770i	−0.975187	+	0.221385i	$0.928942\pi$
$812$	−82.6854	+	189.885i	−0.101829	+	0.233848i
$813$	723.519	−	1072.33i	0.889937	−	1.31898i
$814$	48.8152	−	54.6633i	0.0599695	−	0.0671539i
$815$	−105.024	−	18.5185i	−0.128863	−	0.0227221i
$816$	−103.291	−	186.878i	−0.126582	−	0.229017i
$817$	−417.484	+	350.311i	−0.510996	+	0.428777i
$818$	551.138	+	1026.38i	0.673762	+	1.25474i
$819$	−16.7981	+	119.275i	−0.0205105	+	0.145635i
$820$	−629.526	+	950.003i	−0.767715	+	1.15854i
$821$	−14.8381	−	84.1513i	−0.0180733	−	0.102499i	0.974437	−	0.224662i	$-0.0721279\pi$
$821$	−14.8381	−	84.1513i	−0.0180733	−	0.102499i	−0.992510	+	0.122164i	$0.961017\pi$
$822$	−138.088	−	544.662i	−0.167990	−	0.662606i
$823$	−191.591	−	526.392i	−0.232796	−	0.639601i	0.767203	−	0.641405i	$-0.221648\pi$
$823$	−191.591	−	526.392i	−0.232796	−	0.639601i	−0.999998	+	0.00180367i	$0.999426\pi$
$824$	−232.315	−	885.286i	−0.281936	−	1.07438i
$825$	−378.621	−	365.735i	−0.458934	−	0.443316i
$826$	37.1602	+	256.774i	0.0449881	+	0.310865i
$827$	−719.173	−	415.215i	−0.869617	−	0.502073i	−0.00239586	−	0.999997i	$-0.500763\pi$
$827$	−719.173	−	415.215i	−0.869617	−	0.502073i	−0.867221	+	0.497924i	$0.834096\pi$
$828$	218.782	+	403.740i	0.264229	+	0.487608i
$829$	−389.464	−	674.571i	−0.469799	−	0.813716i	0.529604	−	0.848245i	$-0.322340\pi$
$829$	−389.464	−	674.571i	−0.469799	−	0.813716i	−0.999404	+	0.0345285i	$0.989007\pi$
$830$	422.694	+	536.480i	0.509270	+	0.646362i
$831$	−96.6854	+	10.1479i	−0.116348	+	0.0122117i
$832$	163.239	−	434.471i	0.196201	−	0.522201i
$833$	−155.370	−	130.371i	−0.186519	−	0.156508i
$834$	564.841	+	57.1117i	0.677267	+	0.0684792i
$835$	150.814	−	414.357i	0.180615	−	0.496236i
$836$	2115.39	+	130.521i	2.53037	+	0.156126i
$837$	−879.029	−	1126.11i	−1.05021	−	1.34541i
$838$	−0.224514	+	7.28442i	−0.000267916	+	0.00869263i
$839$	37.7515	−	103.721i	0.0449958	−	0.123625i	−0.915160	−	0.403092i	$-0.867936\pi$
$839$	37.7515	−	103.721i	0.0449958	−	0.123625i	0.960155	+	0.279467i	$0.0901577\pi$
$840$	−94.6262	−	250.478i	−0.112650	−	0.298189i
$841$	−41.2825	−	34.6401i	−0.0490873	−	0.0411892i
$842$	−234.000	+	1123.49i	−0.277909	+	1.33431i
$843$	158.183	−	355.148i	0.187643	−	0.421290i
$844$	−152.589	−	206.443i	−0.180792	−	0.244601i
$845$	351.860	+	609.439i	0.416402	+	0.721229i
$846$	284.799	−	240.828i	0.336642	−	0.284667i
$847$	−175.840	−	101.521i	−0.207603	−	0.119860i
$848$	−63.2993	−	1233.12i	−0.0746454	−	1.45415i
$849$	65.8021	−	263.756i	0.0775054	−	0.310666i
$850$	97.5537	−	32.1394i	0.114769	−	0.0378111i
$851$	−10.5179	−	28.8978i	−0.0123595	−	0.0339575i
$852$	−341.435	+	1080.33i	−0.400745	+	1.26799i
$853$	240.162	+	1362.02i	0.281549	+	1.59675i	0.717357	+	0.696706i	$0.245352\pi$
$853$	240.162	+	1362.02i	0.281549	+	1.59675i	−0.435808	+	0.900040i	$0.643537\pi$
$854$	102.920	+	63.7267i	0.120515	+	0.0746214i
$855$	−1409.85	+	1268.70i	−1.64894	+	1.48386i
$856$	−1141.55	+	525.149i	−1.33359	+	0.613492i
$857$	434.325	−	364.442i	0.506796	−	0.425253i	−0.353204	−	0.935546i	$-0.614908\pi$
$857$	434.325	−	364.442i	0.506796	−	0.425253i	0.860000	+	0.510294i	$0.170463\pi$
$858$	595.558	+	287.566i	0.694124	+	0.335158i
$859$	920.969	+	162.392i	1.07214	+	0.189047i	0.681738	−	0.731597i	$-0.261225\pi$
$859$	920.969	+	162.392i	1.07214	+	0.189047i	0.390403	+	0.920644i	$0.372336\pi$
$860$	260.366	−	274.075i	0.302752	−	0.318691i
$861$	−114.354	−	234.546i	−0.132815	−	0.272411i
$862$	−160.392	+	401.712i	−0.186069	+	0.466023i
$863$		−	394.937i		−	0.457633i	−0.973470	−	0.228817i	$-0.926514\pi$
$863$		−	394.937i		−	0.457633i	0.973470	−	0.228817i	$-0.0734856\pi$
$864$	−741.743	−	443.073i	−0.858499	−	0.512816i
$865$	1141.56			1.31972
$866$	1327.90	+	530.191i	1.53337	+	0.612230i
$867$	56.4539	−	805.660i	0.0651141	−	0.929250i
$868$	−283.175	−	269.012i	−0.326239	−	0.309922i
$869$	−7.42011	+	42.0816i	−0.00853868	+	0.0484253i
$870$	−1014.84	+	74.9952i	−1.16649	+	0.0862014i
$871$	345.578	+	411.844i	0.396760	+	0.472841i
$872$	−516.455	−	1122.65i	−0.592265	−	1.28744i
$873$	572.900	−	357.758i	0.656243	−	0.409803i
$874$	468.185	−	756.125i	0.535681	−	0.865132i
$875$	−147.833	+	26.0670i	−0.168952	+	0.0297908i
$876$	−745.690	+	682.367i	−0.851245	+	0.778957i
$877$	−123.759	+	45.0445i	−0.141116	+	0.0513621i	−0.411613	−	0.911359i	$-0.635034\pi$
$877$	−123.759	+	45.0445i	−0.141116	+	0.0513621i	0.270497	+	0.962721i	$0.412812\pi$
$878$	−246.379	−	747.843i	−0.280614	−	0.851757i
$879$	214.133	+	747.178i	0.243610	+	0.850032i
$880$	−1468.20	+	75.3665i	−1.66841	+	0.0856438i
$881$	−84.5946	+	146.522i	−0.0960211	+	0.166313i	−0.910034	−	0.414533i	$-0.863945\pi$
$881$	−84.5946	+	146.522i	−0.0960211	+	0.166313i	0.814013	+	0.580846i	$0.197278\pi$
$882$	−808.762	−	139.434i	−0.916964	−	0.158089i
$883$	470.009	−	271.360i	0.532287	−	0.307316i	−0.209660	−	0.977774i	$-0.567236\pi$
$883$	470.009	−	271.360i	0.532287	−	0.307316i	0.741947	+	0.670458i	$0.233902\pi$
$884$	−103.770	+	76.6995i	−0.117387	+	0.0867642i
$885$	−1031.44	+	749.156i	−1.16547	+	0.846504i
$886$	−934.653	−	194.669i	−1.05491	−	0.219717i
$887$	−663.573	+	790.815i	−0.748109	+	0.891561i	−0.997034	−	0.0769612i	$-0.975478\pi$
$887$	−663.573	+	790.815i	−0.748109	+	0.891561i	0.248925	+	0.968523i	$0.419923\pi$
$888$	44.7722	+	36.6513i	0.0504192	+	0.0412740i
$889$	203.569	+	74.0929i	0.228986	+	0.0833441i
$890$	−1347.30	−	41.5252i	−1.51382	−	0.0466575i
$891$	724.224	−	995.601i	0.812821	−	1.11740i
$892$	15.5590	−	252.168i	0.0174428	−	0.282700i
$893$	−678.768	−	247.051i	−0.760099	−	0.276653i
$894$	333.971	+	240.634i	0.373570	+	0.269166i
$895$	340.623	−	405.939i	0.380585	−	0.453563i
$896$	−218.468	−	89.8565i	−0.243826	−	0.100286i
$897$	224.536	−	163.085i	0.250319	−	0.181812i
$898$	−121.781	+	95.9512i	−0.135613	+	0.106850i
$899$	−1285.54	+	742.208i	−1.42997	+	0.825592i
$900$	275.649	−	311.047i	0.306277	−	0.345608i
$901$	−171.645	+	297.299i	−0.190506	+	0.329965i
$902$	−1417.93	+	205.201i	−1.57198	+	0.227496i
$903$	23.8458	+	83.2055i	0.0264073	+	0.0921434i
$904$	−78.2687	+	20.5391i	−0.0865804	+	0.0227203i
$905$	−309.794	+	112.756i	−0.342314	+	0.124592i
$906$	−684.140	−	702.869i	−0.755121	−	0.775793i
$907$	−1557.22	+	274.580i	−1.71689	+	0.302735i	−0.943545	−	0.331245i	$-0.892531\pi$
$907$	−1557.22	+	274.580i	−1.71689	+	0.302735i	−0.773349	+	0.633980i	$0.781420\pi$
$908$	−755.652	−	500.738i	−0.832216	−	0.551473i
$909$	100.218	+	53.3241i	0.110251	+	0.0586624i
$910$	−142.560	+	76.5512i	−0.156660	+	0.0841222i
$911$	1014.93	+	1209.55i	1.11408	+	1.32771i	0.939296	+	0.343108i	$0.111480\pi$
$911$	1014.93	+	1209.55i	1.11408	+	1.32771i	0.174788	+	0.984606i	$0.444076\pi$
$912$	−31.2382	+	1673.00i	−0.0342525	+	1.83443i
$913$	−149.097	+	845.572i	−0.163305	+	0.926147i
$914$	−160.774	−	143.573i	−0.175901	−	0.157083i
$915$	−41.5755	+	593.328i	−0.0454377	+	0.648446i
$916$	782.338	+	340.669i	0.854081	+	0.371910i
$917$	362.907			0.395755
$918$	106.093	+	215.516i	0.115570	+	0.234767i
$919$		−	1157.09i		−	1.25907i	−0.776971	−	0.629536i	$-0.783245\pi$
$919$		−	1157.09i		−	1.25907i	0.776971	−	0.629536i	$-0.216755\pi$
$920$	−263.595	+	557.739i	−0.286516	+	0.606238i
$921$	−218.850	−	448.873i	−0.237622	−	0.487375i
$922$	775.279	+	692.337i	0.840867	+	0.750907i
$923$	674.304	+	118.898i	0.730557	+	0.128817i
$924$	155.631	−	298.468i	0.168431	−	0.323017i
$925$	−21.3212	+	17.8906i	−0.0230500	+	0.0193412i
$926$	−113.351	+	60.8667i	−0.122410	+	0.0657308i
$927$	213.790	+	1007.23i	0.230625	+	1.08655i
$928$	−562.877	+	699.407i	−0.606548	+	0.753671i
$929$	−81.8517	−	464.204i	−0.0881073	−	0.499681i	−0.996643	−	0.0818735i	$-0.973910\pi$
$929$	−81.8517	−	464.204i	−0.0881073	−	0.499681i	0.908535	−	0.417808i	$-0.137201\pi$
$930$	521.688	−	1846.85i	0.560954	−	1.98586i
$931$	543.615	+	1493.57i	0.583904	+	1.60426i
$932$	819.939	−	242.399i	0.879763	−	0.260085i
$933$	−256.274	+	1027.23i	−0.274678	+	1.10100i
$934$	812.229	−	117.545i	0.869625	−	0.125852i
$935$	353.975	+	204.367i	0.378583	+	0.218575i
$936$	−206.636	+	479.513i	−0.220765	+	0.512300i
$937$	843.286	+	1460.61i	0.899985	+	1.55882i	0.827511	+	0.561449i	$0.189756\pi$
$937$	843.286	+	1460.61i	0.899985	+	1.55882i	0.0724733	+	0.997370i	$0.476911\pi$
$938$	214.935	−	169.347i	0.229141	−	0.180541i
$939$	−120.779	+	271.168i	−0.128625	+	0.288784i
$940$	487.139	+	117.228i	0.518233	+	0.124711i
$941$	−744.214	−	624.470i	−0.790876	−	0.663624i	0.155086	−	0.987901i	$-0.450434\pi$
$941$	−744.214	−	624.470i	−0.790876	−	0.663624i	−0.945962	+	0.324277i	$0.894879\pi$
$942$	−1495.95	+	673.136i	−1.58806	+	0.714582i
$943$	−205.616	+	564.926i	−0.218045	+	0.599074i
$944$	−138.260	+	1116.14i	−0.146462	+	1.18235i
$945$	92.9601	+	286.523i	0.0983705	+	0.303199i
$946$	475.011	+	14.6404i	0.502125	+	0.0154761i
$947$	135.532	−	372.370i	0.143117	−	0.393210i	−0.847337	−	0.531056i	$-0.821796\pi$
$947$	135.532	−	372.370i	0.143117	−	0.393210i	0.990454	+	0.137846i	$0.0440177\pi$
$948$	−33.4446	−	4.42622i	−0.0352792	−	0.00466901i
$949$	467.935	+	392.644i	0.493082	+	0.413745i
$950$	−787.997	−	164.124i	−0.829470	−	0.172762i
$951$	428.033	−	44.9257i	0.450087	−	0.0472404i
$952$	37.3920	+	53.9931i	0.0392774	+	0.0567154i
$953$	−313.035	−	542.192i	−0.328473	−	0.568932i	0.653736	−	0.756723i	$-0.273201\pi$
$953$	−313.035	−	542.192i	−0.328473	−	0.568932i	−0.982209	+	0.187791i	$0.939867\pi$
$954$	5.28814	+	1389.08i	0.00554313	+	1.45606i
$955$	1522.80	+	879.190i	1.59456	+	0.920617i
$956$	1196.72	−	135.699i	1.25180	−	0.141944i
$957$	−920.104	−	888.791i	−0.961446	−	0.928726i
$958$	−299.099	−	907.864i	−0.312212	−	0.947666i
$959$	59.1114	+	162.407i	0.0616386	+	0.169351i
$960$	−109.221	−	1155.53i	−0.113772	−	1.20368i
$961$	−319.247	−	1810.54i	−0.332203	−	1.88401i
$962$	18.4081	−	29.7293i	0.0191352	−	0.0309037i
$963$	1310.84	−	529.173i	1.36120	−	0.549505i
$964$	−250.773	−	503.649i	−0.260138	−	0.522458i
$965$	−1369.77	+	1149.37i	−1.41945	+	1.19106i
$966$	−79.4453	−	116.785i	−0.0822416	−	0.120895i
$967$	−266.429	−	46.9787i	−0.275521	−	0.0485819i	0.0341801	−	0.999416i	$-0.489118\pi$
$967$	−266.429	−	46.9787i	−0.275521	−	0.0485819i	−0.309702	+	0.950834i	$0.600229\pi$
$968$	−619.141	−	625.574i	−0.639609	−	0.646254i
$969$	260.202	−	385.646i	0.268527	−	0.397983i
$970$	842.675	+	336.455i	0.868738	+	0.346861i
$971$		−	1334.83i		−	1.37469i	−0.726330	−	0.687346i	$-0.758775\pi$
$971$		−	1334.83i		−	1.37469i	0.726330	−	0.687346i	$-0.241225\pi$
$972$	809.862	+	537.501i	0.833191	+	0.552985i
$973$	−174.622			−0.179468
$974$	−557.903	+	1397.31i	−0.572795	+	1.43461i
$975$	−208.206	−	140.481i	−0.213545	−	0.144083i
$976$	357.461	+	384.155i	0.366251	+	0.393601i
$977$	0.757884	−	4.29817i	0.000775726	−	0.00439936i	−0.984417	−	0.175847i	$-0.943733\pi$
$977$	0.757884	−	4.29817i	0.000775726	−	0.00439936i	0.985193	+	0.171448i	$0.0548446\pi$
$978$	87.5158	−	59.5346i	0.0894844	−	0.0608738i
$979$	−1089.23	−	1298.09i	−1.11259	−	1.32594i
$980$	−491.407	−	986.935i	−0.501436	−	1.00708i
$981$	520.412	+	1289.14i	0.530492	+	1.31410i
$982$	63.4757	+	39.3035i	0.0646392	+	0.0400239i
$983$	228.830	−	40.3488i	0.232787	−	0.0410466i	−0.0560376	−	0.998429i	$-0.517847\pi$
$983$	228.830	−	40.3488i	0.232787	−	0.0410466i	0.288825	+	0.957382i	$0.406736\pi$
$984$	−209.928	−	1111.48i	−0.213342	−	1.12955i
$985$	−334.033	+	121.578i	−0.339120	+	0.123430i
$986$	237.070	−	78.1035i	0.240436	−	0.0792125i
$987$	−79.7037	+	82.5118i	−0.0807535	+	0.0835986i
$988$	1004.78	−	113.935i	1.01699	−	0.115319i
$989$	99.7082	−	172.700i	0.100817	−	0.174621i
$990$	1653.89	−	6.29625i	1.67060	−	0.00635985i
$991$	277.126	−	159.999i	0.279643	−	0.161452i	−0.353619	−	0.935390i	$-0.615049\pi$
$991$	277.126	−	159.999i	0.279643	−	0.161452i	0.633262	+	0.773938i	$0.281716\pi$
$992$	−876.404	−	1448.64i	−0.883472	−	1.46033i
$993$	172.400	+	1642.56i	0.173616	+	1.65414i
$994$	71.0594	−	341.172i	0.0714883	−	0.343232i
$995$	540.936	−	644.662i	0.543654	−	0.647902i
$996$	−672.025	−	88.9389i	−0.674724	−	0.0892961i
$997$	−1128.21	−	410.635i	−1.13160	−	0.411870i	−0.292730	−	0.956195i	$-0.594564\pi$
$997$	−1128.21	−	410.635i	−1.13160	−	0.411870i	−0.838874	+	0.544325i	$0.816786\pi$
$998$	41.3525	−	1341.69i	0.0414354	−	1.34438i
$999$	−48.3550	−	43.5769i	−0.0484034	−	0.0436205i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.31.6	yes	204
3.2	odd	2		324.3.j.a.307.29		204
4.3	odd	2	inner	108.3.j.a.31.5	yes	204
12.11	even	2		324.3.j.a.307.30		204
27.7	even	9	inner	108.3.j.a.7.5	✓	204
27.20	odd	18		324.3.j.a.19.30		204
108.7	odd	18	inner	108.3.j.a.7.6	yes	204
108.47	even	18		324.3.j.a.19.29		204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.5	✓	204	27.7	even	9	inner
108.3.j.a.7.6	yes	204	108.7	odd	18	inner
108.3.j.a.31.5	yes	204	4.3	odd	2	inner
108.3.j.a.31.6	yes	204	1.1	even	1	trivial
324.3.j.a.19.29		204	108.47	even	18
324.3.j.a.19.30		204	27.20	odd	18
324.3.j.a.307.29		204	3.2	odd	2
324.3.j.a.307.30		204	12.11	even	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.85742 - 0.741613i) q^{2} +(-2.48687 - 1.67794i) q^{3} +(2.90002 + 2.75497i) q^{4} +(1.04974 - 5.95339i) q^{5} +(3.37478 + 4.96093i) q^{6} +(-1.18627 - 1.41374i) q^{7} +(-3.34343 - 7.26784i) q^{8} +(3.36905 + 8.34563i) q^{9} +O(q^{10})\)	\(q+(-1.85742 - 0.741613i) q^{2} +(-2.48687 - 1.67794i) q^{3} +(2.90002 + 2.75497i) q^{4} +(1.04974 - 5.95339i) q^{5} +(3.37478 + 4.96093i) q^{6} +(-1.18627 - 1.41374i) q^{7} +(-3.34343 - 7.26784i) q^{8} +(3.36905 + 8.34563i) q^{9} +(-6.36492 + 10.2794i) q^{10} +(-14.9684 + 2.63934i) q^{11} +(-2.58930 - 11.7173i) q^{12} +(-6.81461 + 2.48032i) q^{13} +(1.15495 + 3.50567i) q^{14} +(-12.6000 + 13.0439i) q^{15} +(0.820241 + 15.9790i) q^{16} +(2.22420 - 3.85243i) q^{17} +(-0.0685244 - 17.9999i) q^{18} +(-30.1899 + 17.4301i) q^{19} +(19.4457 - 14.3729i) q^{20} +(0.577931 + 5.50628i) q^{21} +(29.7600 + 6.19842i) q^{22} +(8.19924 - 9.77147i) q^{23} +(-3.88029 + 23.6842i) q^{24} +(-10.8485 - 3.94854i) q^{25} +(14.4970 + 0.446815i) q^{26} +(5.62504 - 26.4076i) q^{27} +(0.454613 - 7.36803i) q^{28} +(-26.3635 - 9.59554i) q^{29} +(33.0770 - 14.8837i) q^{30} +(34.0099 - 40.5314i) q^{31} +(10.3267 - 30.2879i) q^{32} +(41.6532 + 18.5524i) q^{33} +(-6.98829 + 5.50609i) q^{34} +(-9.66183 + 5.57826i) q^{35} +(-13.2217 + 33.4841i) q^{36} +(1.20543 - 2.08787i) q^{37} +(69.0017 - 9.98589i) q^{38} +(21.1089 + 5.26627i) q^{39} +(-46.7780 + 12.2754i) q^{40} +(-44.2880 + 16.1195i) q^{41} +(3.01007 - 10.6561i) q^{42} +(15.3959 - 2.71472i) q^{43} +(-50.6800 - 33.5835i) q^{44} +(53.2214 - 11.2965i) q^{45} +(-22.4761 + 12.0691i) q^{46} +(13.3190 + 15.8730i) q^{47} +(24.7719 - 41.1139i) q^{48} +(7.91733 - 44.9014i) q^{49} +(17.2220 + 15.3795i) q^{50} +(-11.9954 + 5.84843i) q^{51} +(-26.5957 - 11.5811i) q^{52} -77.1717 q^{53} +(-30.0322 + 44.8783i) q^{54} +91.8834i q^{55} +(-6.30863 + 13.3484i) q^{56} +(104.325 + 7.31023i) q^{57} +(41.8520 + 37.3745i) q^{58} +(69.2241 + 12.2061i) q^{59} +(-72.4758 + 3.11496i) q^{60} +(25.1234 - 21.0811i) q^{61} +(-93.2293 + 50.0617i) q^{62} +(7.80196 - 14.6631i) q^{63} +(-41.6429 + 48.5991i) q^{64} +(7.61269 + 43.1737i) q^{65} +(-63.6088 - 65.3501i) q^{66} +(-25.3557 - 69.6641i) q^{67} +(17.0636 - 5.04451i) q^{68} +(-36.7864 + 10.5426i) q^{69} +(22.0830 - 3.19584i) q^{70} +(-81.7673 - 47.2083i) q^{71} +(49.3904 - 52.3888i) q^{72} +(-42.1159 - 72.9468i) q^{73} +(-3.78739 + 2.98409i) q^{74} +(20.3535 + 28.0227i) q^{75} +(-135.571 - 32.6246i) q^{76} +(21.4879 + 18.0305i) q^{77} +(-35.3025 - 25.4363i) q^{78} +(0.961540 - 2.64181i) q^{79} +(95.9900 + 11.8906i) q^{80} +(-58.2990 + 56.2337i) q^{81} +(94.2158 + 2.90384i) q^{82} +(19.3208 - 53.0836i) q^{83} +(-13.4937 + 17.5605i) q^{84} +(-20.6002 - 17.2856i) q^{85} +(-30.6100 - 6.37545i) q^{86} +(49.4620 + 68.0992i) q^{87} +(69.2282 + 99.9636i) q^{88} +(55.7439 + 96.5512i) q^{89} +(-107.232 - 18.4873i) q^{90} +(11.5905 + 6.69178i) q^{91} +(50.6981 - 5.74879i) q^{92} +(-152.587 + 43.7299i) q^{93} +(-12.9674 - 39.3604i) q^{94} +(72.0767 + 198.029i) q^{95} +(-76.5024 + 57.9947i) q^{96} +(-13.0319 - 73.9076i) q^{97} +(-48.0053 + 77.5292i) q^{98} +(-72.4563 - 116.029i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

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