LMFDB - Embedded newform 108.3.j.a.31.5

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			31.5
Character	$\chi$	$=$	108.31
Dual form			108.3.j.a.7.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.89957 - 0.625818i) q^{2} +(2.48687 + 1.67794i) q^{3} +(3.21670 + 2.37757i) q^{4} +(1.04974 - 5.95339i) q^{5} +(-3.67389 - 4.74368i) q^{6} +(1.18627 + 1.41374i) q^{7} +(-4.62241 - 6.52942i) q^{8} +(3.36905 + 8.34563i) q^{9} +O(q^{10})$	\(q+(-1.89957 - 0.625818i) q^{2} +(2.48687 + 1.67794i) q^{3} +(3.21670 + 2.37757i) q^{4} +(1.04974 - 5.95339i) q^{5} +(-3.67389 - 4.74368i) q^{6} +(1.18627 + 1.41374i) q^{7} +(-4.62241 - 6.52942i) q^{8} +(3.36905 + 8.34563i) q^{9} +(-5.71979 + 10.6519i) q^{10} +(14.9684 - 2.63934i) q^{11} +(4.01012 + 11.3101i) q^{12} +(-6.81461 + 2.48032i) q^{13} +(-1.36865 - 3.42789i) q^{14} +(12.6000 - 13.0439i) q^{15} +(4.69435 + 15.2959i) q^{16} +(2.22420 - 3.85243i) q^{17} +(-1.17689 - 17.9615i) q^{18} +(30.1899 - 17.4301i) q^{19} +(17.5313 - 16.6544i) q^{20} +(0.577931 + 5.50628i) q^{21} +(-30.0853 - 4.35392i) q^{22} +(-8.19924 + 9.77147i) q^{23} +(-0.539396 - 23.9939i) 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} +(-32.0976 + 16.8924i) q^{30} +(-34.0099 + 40.5314i) q^{31} +(0.655192 - 31.9933i) q^{32} +(41.6532 + 18.5524i) q^{33} +(-6.63594 + 5.92600i) q^{34} +(9.66183 - 5.57826i) q^{35} +(-9.00504 + 34.8555i) q^{36} +(1.20543 - 2.08787i) q^{37} +(-68.2558 + 14.2163i) q^{38} +(-21.1089 - 5.26627i) q^{39} +(-43.7245 + 20.6648i) q^{40} +(-44.2880 + 16.1195i) q^{41} +(2.34811 - 10.8212i) q^{42} +(-15.3959 + 2.71472i) q^{43} +(54.4242 + 27.0985i) q^{44} +(53.2214 - 11.2965i) q^{45} +(21.6902 - 13.4303i) q^{46} +(-13.3190 - 15.8730i) q^{47} +(-13.9912 + 45.9156i) q^{48} +(7.91733 - 44.9014i) q^{49} +(18.1364 + 14.2897i) q^{50} +(11.9954 - 5.84843i) q^{51} +(-27.8177 - 8.22376i) q^{52} -77.1717 q^{53} +(27.2115 - 46.6426i) q^{54} -91.8834i q^{55} +(3.74748 - 14.2806i) q^{56} +(104.325 + 7.31023i) q^{57} +(44.0742 + 34.7261i) q^{58} +(-69.2241 - 12.2061i) q^{59} +(71.5431 - 12.0010i) q^{60} +(25.1234 - 21.0811i) q^{61} +(89.9694 - 55.7081i) q^{62} +(-7.80196 + 14.6631i) q^{63} +(-21.2666 + 60.3633i) q^{64} +(7.61269 + 43.1737i) q^{65} +(-67.5125 - 61.3088i) q^{66} +(25.3557 + 69.6641i) q^{67} +(16.3140 - 7.10394i) q^{68} +(-36.7864 + 10.5426i) q^{69} +(-21.8443 + 4.54972i) q^{70} +(81.7673 + 47.2083i) q^{71} +(38.9189 - 60.5749i) q^{72} +(-42.1159 - 72.9468i) q^{73} +(-3.59643 + 3.21167i) q^{74} +(-20.3535 - 28.0227i) q^{75} +(138.553 + 15.7109i) q^{76} +(21.4879 + 18.0305i) q^{77} +(36.8020 + 23.2139i) 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} +(-11.2325 + 19.0861i) q^{84} +(-20.6002 - 17.2856i) q^{85} +(30.9445 + 4.47828i) q^{86} +(-49.4620 - 68.0992i) q^{87} +(-86.4236 - 85.5350i) q^{88} +(55.7439 + 96.5512i) q^{89} +(-108.167 - 11.8484i) q^{90} +(-11.5905 - 6.69178i) q^{91} +(-49.6068 + 11.9377i) q^{92} +(-152.587 + 43.7299i) q^{93} +(15.3667 + 38.4871i) q^{94} +(-72.0767 - 198.029i) q^{95} +(55.3121 - 78.4638i) q^{96} +(-13.0319 - 73.9076i) q^{97} +(-43.1396 + 80.3384i) 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 $

$2$	−1.89957	−	0.625818i	−0.949783	−	0.312909i
$2$	−1.89957	−	0.625818i	−0.949783	−	0.312909i
$3$	2.48687	+	1.67794i	0.828957	+	0.559312i
$3$	2.48687	+	1.67794i	0.828957	+	0.559312i
$4$	3.21670	+	2.37757i	0.804176	+	0.594392i
$5$	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	$-0.151081\pi$
$6$	−3.67389	−	4.74368i	−0.612315	−	0.790614i
$7$	1.18627	+	1.41374i	0.169467	+	0.201963i	0.844093	−	0.536197i	$-0.180139\pi$
$7$	1.18627	+	1.41374i	0.169467	+	0.201963i	−0.674626	+	0.738160i	$0.735695\pi$
$8$	−4.62241	−	6.52942i	−0.577802	−	0.816177i
$9$	3.36905	+	8.34563i	0.374339	+	0.927292i
$10$	−5.71979	+	10.6519i	−0.571979	+	1.06519i
$11$	14.9684	−	2.63934i	1.36077	−	0.239940i	0.554840	−	0.831957i	$-0.312779\pi$
$11$	14.9684	−	2.63934i	1.36077	−	0.239940i	0.805925	+	0.592017i	$0.201668\pi$
$12$	4.01012	+	11.3101i	0.334176	+	0.942511i
$13$	−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	$0.478866\pi$
$14$	−1.36865	−	3.42789i	−0.0977610	−	0.244849i
$15$	12.6000	−	13.0439i	0.839999	−	0.869593i
$16$	4.69435	+	15.2959i	0.293397	+	0.955991i
$17$	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	$0.124901\pi$
$18$	−1.17689	−	17.9615i	−0.0653829	−	0.997860i
$19$	30.1899	−	17.4301i	1.58894	−	0.917376i	0.595459	−	0.803385i	$-0.296970\pi$
$19$	30.1899	−	17.4301i	1.58894	−	0.917376i	0.993482	−	0.113990i	$-0.0363633\pi$
$20$	17.5313	−	16.6544i	0.876564	−	0.832722i
$21$	0.577931	+	5.50628i	0.0275205	+	0.262204i
$22$	−30.0853	−	4.35392i	−1.36751	−	0.197905i
$23$	−8.19924	+	9.77147i	−0.356489	+	0.424847i	−0.914247	−	0.405157i	$-0.867217\pi$
$23$	−8.19924	+	9.77147i	−0.356489	+	0.424847i	0.557759	+	0.830003i	$0.311661\pi$
$24$	−0.539396	−	23.9939i	−0.0224748	−	0.999747i
$25$	−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	$0.771824\pi$
$30$	−32.0976	+	16.8924i	−1.06992	+	0.563082i
$31$	−34.0099	+	40.5314i	−1.09709	+	1.30747i	−0.149225	+	0.988803i	$0.547678\pi$
$31$	−34.0099	+	40.5314i	−1.09709	+	1.30747i	−0.947868	+	0.318662i	$0.896767\pi$
$32$	0.655192	−	31.9933i	0.0204747	−	0.999790i
$33$	41.6532	+	18.5524i	1.26222	+	0.562193i
$34$	−6.63594	+	5.92600i	−0.195175	+	0.174294i
$35$	9.66183	−	5.57826i	0.276052	−	0.159379i
$36$	−9.00504	+	34.8555i	−0.250140	+	0.968210i
$37$	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	$0.156295\pi$
$38$	−68.2558	+	14.2163i	−1.79620	+	0.374114i
$39$	−21.1089	−	5.26627i	−0.541253	−	0.135032i
$40$	−43.7245	+	20.6648i	−1.09311	+	0.516620i
$41$	−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	$0.583793\pi$
$42$	2.34811	−	10.8212i	0.0559075	−	0.257648i
$43$	−15.3959	+	2.71472i	−0.358045	+	0.0631330i	−0.349778	−	0.936833i	$-0.613743\pi$
$43$	−15.3959	+	2.71472i	−0.358045	+	0.0631330i	−0.00826772	+	0.999966i	$0.502632\pi$
$44$	54.4242	+	27.0985i	1.23691	+	0.615874i
$45$	53.2214	−	11.2965i	1.18270	−	0.251034i
$46$	21.6902	−	13.4303i	0.471525	−	0.291964i
$47$	−13.3190	−	15.8730i	−0.283383	−	0.337723i	0.605510	−	0.795838i	$-0.292969\pi$
$47$	−13.3190	−	15.8730i	−0.283383	−	0.337723i	−0.888893	+	0.458115i	$0.848525\pi$
$48$	−13.9912	+	45.9156i	−0.291484	+	0.956576i
$49$	7.91733	−	44.9014i	0.161578	−	0.916355i
$50$	18.1364	+	14.2897i	0.362729	+	0.285795i
$51$	11.9954	−	5.84843i	0.235205	−	0.114675i
$52$	−27.8177	−	8.22376i	−0.534956	−	0.158149i
$53$	−77.1717			−1.45607			−0.728035	−	0.685540i	$-0.759566\pi$
$53$	−77.1717			−1.45607			−0.728035	+	0.685540i	$0.759566\pi$
$54$	27.2115	−	46.6426i	0.503916	−	0.863753i
$55$		−	91.8834i		−	1.67061i
$56$	3.74748	−	14.2806i	0.0669193	−	0.255010i
$57$	104.325	+	7.31023i	1.83026	+	0.128250i
$58$	44.0742	+	34.7261i	0.759900	+	0.598726i
$59$	−69.2241	−	12.2061i	−1.17329	−	0.206883i	−0.447169	−	0.894450i	$-0.647568\pi$
$59$	−69.2241	−	12.2061i	−1.17329	−	0.206883i	−0.726121	+	0.687567i	$0.758679\pi$
$60$	71.5431	−	12.0010i	1.19239	−	0.200017i
$61$	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	$0.191143\pi$
$62$	89.9694	−	55.7081i	1.45112	−	0.898518i
$63$	−7.80196	+	14.6631i	−0.123841	+	0.232748i
$64$	−21.2666	+	60.3633i	−0.332290	+	0.943177i
$65$	7.61269	+	43.1737i	0.117118	+	0.664211i
$66$	−67.5125	−	61.3088i	−1.02292	−	0.928921i
$67$	25.3557	+	69.6641i	0.378443	+	1.03976i	0.972002	+	0.234973i	$0.0755001\pi$
$67$	25.3557	+	69.6641i	0.378443	+	1.03976i	−0.593559	+	0.804790i	$0.702278\pi$
$68$	16.3140	−	7.10394i	0.239912	−	0.104470i
$69$	−36.7864	+	10.5426i	−0.533136	+	0.152791i
$70$	−21.8443	+	4.54972i	−0.312061	+	0.0649961i
$71$	81.7673	+	47.2083i	1.15165	+	0.664906i	0.949289	−	0.314404i	$-0.101805\pi$
$71$	81.7673	+	47.2083i	1.15165	+	0.664906i	0.202362	+	0.979311i	$0.435138\pi$
$72$	38.9189	−	60.5749i	0.540540	−	0.841318i
$73$	−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	$-0.362416\pi$
$74$	−3.59643	+	3.21167i	−0.0486004	+	0.0434009i
$75$	−20.3535	−	28.0227i	−0.271380	−	0.373636i
$76$	138.553	+	15.7109i	1.82307	+	0.206722i
$77$	21.4879	+	18.0305i	0.279064	+	0.234163i
$78$	36.8020	+	23.2139i	0.471820	+	0.297615i
$79$	−0.961540	+	2.64181i	−0.0121714	+	0.0334406i	−0.945630	−	0.325246i	$-0.894553\pi$
$79$	−0.961540	+	2.64181i	−0.0121714	+	0.0334406i	0.933458	+	0.358686i	$0.116775\pi$
$80$	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	−0.999998	−	0.00182621i	$-0.999419\pi$
$83$	−19.3208	+	53.0836i	−0.232781	+	0.639561i	0.767217	+	0.641388i	$0.221641\pi$
$84$	−11.2325	+	19.0861i	−0.133721	+	0.227216i
$85$	−20.6002	−	17.2856i	−0.242355	−	0.203360i
$86$	30.9445	+	4.47828i	0.359820	+	0.0520730i
$87$	−49.4620	−	68.0992i	−0.568528	−	0.782749i
$88$	−86.4236	−	85.5350i	−0.982086	−	0.971988i
$89$	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	$0.617887\pi$
$90$	−108.167	−	11.8484i	−1.20186	−	0.131649i
$91$	−11.5905	−	6.69178i	−0.127368	−	0.0735361i
$92$	−49.6068	+	11.9377i	−0.539205	+	0.129757i
$93$	−152.587	+	43.7299i	−1.64072	+	0.470214i
$94$	15.3667	+	38.4871i	0.163476	+	0.409437i
$95$	−72.0767	−	198.029i	−0.758702	−	2.08452i
$96$	55.3121	−	78.4638i	0.576168	−	0.817331i
$97$	−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	$-0.181990\pi$
$98$	−43.1396	+	80.3384i	−0.440200	+	0.819780i
$99$	72.4563	+	116.029i	0.731882	+	1.17201i
$100$	−25.5086	−	38.4944i	−0.255086	−	0.384944i
$101$	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	$0.257889\pi$
$102$	−26.4462	+	3.60251i	−0.259276	+	0.0353187i
$103$	−112.669	−	19.8667i	−1.09388	−	0.192880i	−0.402533	−	0.915405i	$-0.631870\pi$
$103$	−112.669	−	19.8667i	−1.09388	−	0.192880i	−0.691345	+	0.722525i	$0.742981\pi$
$104$	47.6950	+	33.0304i	0.458606	+	0.317600i
$105$	33.3877	+	2.33953i	0.317978	+	0.0222813i
$106$	146.593	+	48.2955i	1.38295	+	0.455617i
$107$			157.069i			1.46793i	0.679186	+	0.733967i	$0.262333\pi$
$107$			157.069i			1.46793i	−0.679186	+	0.733967i	$0.737667\pi$
$108$	−80.8798	+	71.5714i	−0.748887	+	0.662698i
$109$	154.468			1.41714			0.708571	−	0.705640i	$-0.249340\pi$
$109$	154.468			1.41714			0.708571	+	0.705640i	$0.249340\pi$
$110$	−57.5023	+	174.539i	−0.522748	+	1.58671i
$111$	6.50107	−	3.16962i	0.0585682	−	0.0285552i
$112$	−16.0556	+	24.7816i	−0.143354	+	0.221265i
$113$	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	$0.0413045\pi$
$114$	−193.597	−	79.1748i	−1.69822	−	0.694516i
$115$	49.5663	+	59.0708i	0.431011	+	0.513659i
$116$	−61.9896	−	93.5470i	−0.534393	−	0.806440i
$117$	−43.6586	−	48.5159i	−0.373150	−	0.414666i
$118$	123.857	+	66.5080i	1.04964	+	0.563627i
$119$	8.08486	−	1.42558i	0.0679400	−	0.0119796i
$120$	−143.411	−	21.9762i	−1.19509	−	0.183135i
$121$	103.385	−	37.6290i	0.854420	−	0.310983i
$122$	−60.9165	+	24.3222i	−0.499316	+	0.199362i
$123$	−137.186	−	34.2253i	−1.11533	−	0.278255i
$124$	−205.766	+	49.5167i	−1.65940	+	0.399328i
$125$	40.6700	−	70.4425i	0.325360	−	0.563540i
$126$	23.9968	−	22.9710i	0.190451	−	0.182310i
$127$	101.657	−	58.6920i	0.800453	−	0.462141i	−0.0431768	−	0.999067i	$-0.513748\pi$
$127$	101.657	−	58.6920i	0.800453	−	0.462141i	0.843629	+	0.536926i	$0.180415\pi$
$128$	78.1737	−	101.355i	0.610732	−	0.791837i
$129$	−42.8429	−	19.0823i	−0.332115	−	0.147925i
$130$	12.5581	−	86.7755i	0.0966007	−	0.667504i
$131$	126.400	−	150.637i	0.964884	−	1.14990i	−0.0237735	−	0.999717i	$-0.507568\pi$
$131$	126.400	−	150.637i	0.964884	−	1.14990i	0.988658	−	0.150187i	$-0.0479875\pi$
$132$	89.8763	+	158.711i	0.680881	+	1.20235i
$133$	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	$0.722142\pi$
$138$	76.4759	+	2.99525i	0.554173	+	0.0217047i
$139$	−60.8206	+	72.4832i	−0.437558	+	0.521462i	−0.939087	−	0.343679i	$-0.888327\pi$
$139$	−60.8206	+	72.4832i	−0.437558	+	0.521462i	0.501529	+	0.865141i	$0.332771\pi$
$140$	44.3419	+	5.02804i	0.316728	+	0.0359146i
$141$	−6.48880	−	61.8226i	−0.0460199	−	0.438458i
$142$	−125.778	−	140.847i	−0.885764	−	0.991879i
$143$	−95.4576	+	55.1125i	−0.667536	+	0.385402i
$144$	−111.838	+	90.7099i	−0.776652	+	0.629930i
$145$	−84.8008	+	146.879i	−0.584833	+	1.01296i
$146$	34.3504	+	164.924i	0.235277	+	1.12962i
$147$	95.0311	−	98.3792i	0.646470	−	0.669247i
$148$	8.84157	−	3.85006i	0.0597403	−	0.0260139i
$149$	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	$0.314944\pi$
$150$	21.1257	+	65.9685i	0.140838	+	0.439790i
$151$	160.992	−	28.3872i	1.06617	−	0.187995i	0.387078	−	0.922047i	$-0.373484\pi$
$151$	160.992	−	28.3872i	1.06617	−	0.187995i	0.679093	+	0.734052i	$0.262373\pi$
$152$	−253.359	−	116.553i	−1.66683	−	0.766796i
$153$	39.6444	+	5.58332i	0.259114	+	0.0364923i
$154$	−29.5339	−	47.6977i	−0.191779	−	0.309726i
$155$	205.598	+	245.022i	1.32644	+	1.58078i
$156$	−55.3801	−	67.1278i	−0.355001	−	0.430306i
$157$	−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	$0.719213\pi$
$158$	3.47980	−	4.41654i	0.0220241	−	0.0279528i
$159$	−191.916	−	129.489i	−1.20702	−	0.814398i
$160$	−189.781	−	37.4853i	−1.18613	−	0.234283i
$161$	−23.5409			−0.146217
$162$	145.935	−	70.3351i	0.900832	−	0.434167i
$163$			17.6410i			0.108227i	0.998535	+	0.0541135i	$0.0172333\pi$
$163$			17.6410i			0.108227i	−0.998535	+	0.0541135i	$0.982767\pi$
$164$	−180.786	−	53.4460i	−1.10236	−	0.325890i
$165$	154.175	−	228.502i	0.934392	−	1.38486i
$166$	69.9219	−	88.7445i	0.421216	−	0.534605i
$167$	−71.8336	−	12.6662i	−0.430141	−	0.0758455i	−0.0456140	−	0.998959i	$-0.514524\pi$
$167$	−71.8336	−	12.6662i	−0.430141	−	0.0758455i	−0.384527	+	0.923114i	$0.625636\pi$
$168$	33.2814	−	29.2259i	0.198103	−	0.173964i
$169$	−89.1745	+	74.8263i	−0.527660	+	0.442759i
$170$	28.3138	+	45.7271i	0.166552	+	0.268983i
$171$	247.177	+	193.230i	1.44548	+	1.13000i
$172$	−55.9786	−	27.8724i	−0.325457	−	0.162049i
$173$	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	$0.760682\pi$
$174$	51.3385	+	160.313i	0.295049	+	0.921340i
$175$	−7.28707	−	20.0211i	−0.0416404	−	0.114406i
$176$	110.638	+	216.565i	0.628625	+	1.23048i
$177$	−151.670	−	146.509i	−0.856895	−	0.827732i
$178$	−45.4656	−	218.291i	−0.255425	−	1.22635i
$179$	−75.9146	−	43.8293i	−0.424104	−	0.244856i	0.272728	−	0.962091i	$-0.412074\pi$
$179$	−75.9146	−	43.8293i	−0.424104	−	0.244856i	−0.696832	+	0.717235i	$0.745407\pi$
$180$	198.056	+	90.1998i	1.10031	+	0.501110i
$181$	−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	$0.881470\pi$
$182$	17.8291	+	19.9650i	0.0979620	+	0.109698i
$183$	97.8514	−	10.2703i	0.534707	−	0.0561220i
$184$	101.702	+	8.36845i	0.552730	+	0.0454807i
$185$	−11.1645	−	9.36813i	−0.0603487	−	0.0506386i
$186$	317.217	+	12.4241i	1.70547	+	0.0667963i
$187$	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	$-0.613381\pi$
$191$	99.4836	−	273.329i	0.520857	−	1.43104i	0.869569	−	0.493812i	$-0.164397\pi$
$192$	−154.173	+	114.432i	−0.802985	+	0.595999i
$193$	−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	$-0.555677\pi$
$194$	−21.4978	+	148.548i	−0.110813	+	0.765711i
$195$	−53.5110	+	120.141i	−0.274415	+	0.616108i
$196$	132.224	−	125.611i	0.674611	−	0.640870i
$197$	−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	$0.881017\pi$
$198$	−65.0226	−	265.749i	−0.328397	−	1.34217i
$199$	−120.558	−	69.6042i	−0.605819	−	0.349770i	0.165508	−	0.986208i	$-0.447074\pi$
$199$	−120.558	−	69.6042i	−0.605819	−	0.349770i	−0.771328	+	0.636438i	$0.780407\pi$
$200$	24.3647	+	89.0864i	0.121824	+	0.445432i
$201$	−53.8358	+	215.791i	−0.267840	+	1.07359i
$202$	−23.4286	+	9.35435i	−0.115983	+	0.0463087i
$203$	−17.7087	−	48.6541i	−0.0872348	−	0.239676i
$204$	52.4908	+	9.70732i	0.257308	+	0.0475849i
$205$	49.4747	+	280.585i	0.241340	+	1.36871i
$206$	201.590	+	108.249i	0.978593	+	0.525479i
$207$	−109.173	−	35.5072i	−0.527404	−	0.171532i
$208$	−69.9287	−	92.5918i	−0.336196	−	0.445153i
$209$	405.891	−	340.583i	1.94206	−	1.62958i
$210$	−61.9580	−	25.3387i	−0.295038	−	0.120661i
$211$	63.2035	+	11.1445i	0.299543	+	0.0528174i	0.321400	−	0.946944i	$-0.395847\pi$
$211$	63.2035	+	11.1445i	0.299543	+	0.0528174i	−0.0218570	+	0.999761i	$0.506958\pi$
$212$	−248.238	−	183.481i	−1.17094	−	0.865475i
$213$	124.132	+	254.601i	0.582779	+	1.19531i
$214$	98.2966	−	298.363i	0.459330	−	1.39422i
$215$			94.5078i			0.439571i
$216$	198.427	−	85.3385i	0.918644	−	0.395085i
$217$	−97.6459			−0.449981
$218$	−293.423	−	96.6692i	−1.34598	−	0.443437i
$219$	17.6635	−	252.077i	0.0806551	−	1.15104i
$220$	218.459	−	295.562i	0.992995	−	1.34346i
$221$	−5.60183	+	31.7696i	−0.0253477	+	0.143754i
$222$	−14.3328	+	1.95242i	−0.0645623	+	0.00879469i
$223$	40.5997	+	48.3849i	0.182062	+	0.216973i	0.849354	−	0.527823i	$-0.176992\pi$
$223$	40.5997	+	48.3849i	0.182062	+	0.216973i	−0.667293	+	0.744795i	$0.732547\pi$
$224$	46.0075	−	37.0264i	0.205391	−	0.165297i
$225$	−3.59622	−	103.841i	−0.0159832	−	0.461514i
$226$	−9.57033	+	17.8227i	−0.0423466	+	0.0788615i
$227$	223.183	−	39.3532i	0.983184	−	0.173362i	0.341126	−	0.940018i	$-0.389192\pi$
$227$	223.183	−	39.3532i	0.983184	−	0.173362i	0.642058	+	0.766656i	$0.278081\pi$
$228$	318.202	+	271.555i	1.39562	+	1.19103i
$229$	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	$0.234666\pi$
$230$	−57.1868	−	143.228i	−0.248638	−	0.622732i
$231$	23.1837	+	80.8950i	0.100362	+	0.350195i
$232$	59.2099	+	216.493i	0.255215	+	0.933159i
$233$	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	$0.0149815\pi$
$234$	52.5702	+	119.482i	0.224659	+	0.510605i
$235$	−108.480	+	62.6307i	−0.461615	+	0.266514i
$236$	−193.653	−	203.848i	−0.820562	−	0.863764i
$237$	−6.82402	+	4.95644i	−0.0287933	+	0.0209132i
$238$	−16.2499	−	2.35167i	−0.0682768	−	0.00988097i
$239$	−193.541	+	230.653i	−0.809795	+	0.965076i	−0.999861	−	0.0166953i	$-0.994685\pi$
$239$	−193.541	+	230.653i	−0.809795	+	0.965076i	0.190066	+	0.981771i	$0.439130\pi$
$240$	258.666	+	131.495i	1.07778	+	0.547895i
$241$	−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
$246$	239.175	+	150.867i	0.972256	+	0.613279i
$247$	−162.500	+	193.660i	−0.657895	+	0.784049i
$248$	421.854	+	34.7118i	1.70103	+	0.139967i
$249$	−137.119	+	99.5929i	−0.550680	+	0.399971i
$250$	−121.339	+	108.358i	−0.485358	+	0.433432i
$251$	−230.389	+	133.015i	−0.917885	+	0.529941i	−0.882960	−	0.469449i	$-0.844453\pi$
$251$	−230.389	+	133.015i	−0.917885	+	0.529941i	−0.0349254	+	0.999390i	$0.511119\pi$
$252$	−59.9592	+	28.6173i	−0.237933	+	0.113561i
$253$	−96.9395	+	167.904i	−0.383160	+	0.663652i
$254$	−229.836	+	47.8702i	−0.904865	+	0.188465i
$255$	−22.2258	−	77.5529i	−0.0871601	−	0.304129i
$256$	−211.926	+	143.608i	−0.827836	+	0.560970i
$257$	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	$0.162938\pi$
$258$	69.4408	+	63.0599i	0.269150	+	0.244418i
$259$	4.38168	−	0.772609i	0.0169177	−	0.00298304i
$260$	−78.1606	+	156.977i	−0.300618	+	0.603757i
$261$	−8.73934	−	252.348i	−0.0334841	−	0.966850i
$262$	−334.377	+	207.042i	−1.27625	+	0.790238i
$263$	−134.835	−	160.690i	−0.512679	−	0.610987i	0.446154	−	0.894956i	$-0.352793\pi$
$263$	−134.835	−	160.690i	−0.512679	−	0.610987i	−0.958834	+	0.283969i	$0.908349\pi$
$264$	−71.4020	−	357.728i	−0.270462	−	1.35503i
$265$	−81.0104	+	459.433i	−0.305700	+	1.73371i
$266$	−101.068	−	79.6317i	−0.379955	−	0.299367i
$267$	−23.3791	+	333.645i	−0.0875621	+	1.24961i
$268$	−84.0695	+	284.374i	−0.313692	+	1.06110i
$269$	244.709			0.909697			0.454849	−	0.890569i	$-0.349693\pi$
$269$	244.709			0.909697			0.454849	+	0.890569i	$0.349693\pi$
$270$	−249.117	−	210.963i	−0.922654	−	0.781345i
$271$		−	431.195i		−	1.59113i	−0.605870	−	0.795563i	$-0.707175\pi$
$271$		−	431.195i		−	1.59113i	0.605870	−	0.795563i	$-0.292825\pi$
$272$	69.3674	+	15.9364i	0.255027	+	0.0585897i
$273$	−17.5957	−	36.0897i	−0.0644531	−	0.132197i
$274$	147.119	+	115.916i	0.536932	+	0.423050i
$275$	−172.807	−	30.4705i	−0.628389	−	0.110802i
$276$	−143.396	−	53.5497i	−0.519553	−	0.194021i
$277$	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	$0.259148\pi$
$278$	160.894	−	99.6240i	0.578756	−	0.358360i
$279$	−452.841	−	147.281i	−1.62309	−	0.527890i
$280$	−81.0838	−	37.3011i	−0.289585	−	0.133218i
$281$	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	$0.870377\pi$
$282$	−26.3638	+	121.497i	−0.0934886	+	0.430840i
$283$	−30.9916	−	85.1487i	−0.109511	−	0.300879i	0.872817	−	0.488048i	$-0.162291\pi$
$283$	−30.9916	−	85.1487i	−0.109511	−	0.300879i	−0.982328	+	0.187169i	$0.940069\pi$
$284$	150.780	+	346.262i	0.530915	+	1.21923i
$285$	153.035	−	613.413i	0.536965	−	2.15233i
$286$	215.818	−	44.9507i	0.754610	−	0.157170i
$287$	−75.3264	−	43.4897i	−0.262461	−	0.151532i
$288$	269.211	−	102.319i	0.934762	−	0.355275i
$289$	134.606	+	233.144i	0.465764	+	0.806727i
$290$	253.005	−	225.937i	0.872430	−	0.779094i
$291$	91.6036	−	205.665i	0.314789	−	0.706754i
$292$	37.9617	−	334.782i	0.130006	−	1.14651i
$293$	−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	$0.867998\pi$
$294$	−242.085	+	127.406i	−0.823420	+	0.433353i
$295$	−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
$300$	1.15464	−	138.532i	0.00384881	−	0.461775i
$301$	−22.1017	−	18.5455i	−0.0734275	−	0.0616130i
$302$	−323.580	−	46.8283i	−1.07146	−	0.155061i
$303$	37.6338	−	3.94999i	0.124204	−	0.0130363i
$304$	408.331	+	379.957i	1.34319	+	1.24986i
$305$	−99.1305	−	171.699i	−0.325018	−	0.562948i
$306$	−71.8131	−	35.4161i	−0.234683	−	0.115739i
$307$	−144.159	−	83.2302i	−0.469573	−	0.271108i	0.246488	−	0.969146i	$-0.420723\pi$
$307$	−144.159	−	83.2302i	−0.469573	−	0.271108i	−0.716061	+	0.698038i	$0.754057\pi$
$308$	26.2515	+	109.088i	0.0852323	+	0.354181i
$309$	−246.859	−	238.458i	−0.798897	−	0.771709i
$310$	−237.207	−	594.101i	−0.765184	−	1.91646i
$311$	120.701	+	331.622i	0.388105	+	1.06631i	0.967854	+	0.251514i	$0.0809285\pi$
$311$	120.701	+	331.622i	0.388105	+	1.06631i	−0.579749	+	0.814795i	$0.696849\pi$
$312$	63.1883	+	162.172i	0.202527	+	0.519781i
$313$	−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	$0.994971\pi$
$314$	258.686	−	481.747i	0.823840	−	1.53423i
$315$	79.1053	+	61.8406i	0.251128	+	0.196319i
$316$	−9.37407	+	6.21179i	−0.0296648	+	0.0196576i
$317$	−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	$0.350434\pi$
$318$	283.520	+	366.078i	0.891573	+	1.15119i
$319$	−419.946	−	74.0478i	−1.31645	−	0.232125i
$320$	337.042	+	189.974i	1.05326	+	0.593669i
$321$	−263.552	+	390.610i	−0.821033	+	1.21685i
$322$	44.7174	+	14.7323i	0.138874	+	0.0457525i
$323$		−	155.073i		−	0.480101i
$324$	−321.230	+	42.2775i	−0.991450	+	0.130486i
$325$	83.7222			0.257607
$326$	11.0401	−	33.5103i	0.0338652	−	0.102792i
$327$	384.143	+	259.188i	1.17475	+	0.792625i
$328$	309.968	+	214.664i	0.945025	+	0.654462i
$329$	6.64036	−	37.6593i	0.0201835	−	0.114466i
$330$	−435.866	+	337.570i	−1.32081	+	1.02294i
$331$	353.872	+	421.728i	1.06910	+	1.27410i	0.959978	+	0.280075i	$0.0903592\pi$
$331$	353.872	+	421.728i	1.06910	+	1.27410i	0.109121	+	0.994028i	$0.465196\pi$
$332$	−188.359	+	124.818i	−0.567347	+	0.375956i
$333$	21.4858	+	3.02594i	0.0645218	+	0.00908692i
$334$	128.526	+	69.0151i	0.384808	+	0.206632i
$335$	441.354	−	77.8227i	1.31748	−	0.232307i
$336$	−81.5103	+	34.6884i	−0.242590	+	0.103239i
$337$	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	$0.282676\pi$
$338$	216.221	−	86.3305i	0.639706	−	0.255416i
$339$	21.0822	−	21.8250i	0.0621895	−	0.0643805i
$340$	−25.1670	−	104.581i	−0.0740205	−	0.307591i
$341$	−402.098	+	696.455i	−1.17917	+	2.04239i
$342$	−348.601	−	521.742i	−1.01930	−	1.52556i
$343$	151.186	−	87.2872i	0.440775	−	0.254482i
$344$	88.8920	+	87.9780i	0.258407	+	0.255750i
$345$	24.1478	+	230.070i	0.0699938	+	0.666871i
$346$	54.0929	−	373.778i	0.156338	−	1.08028i
$347$	3.78870	−	4.51520i	0.0109184	−	0.0130121i	−0.760558	−	0.649270i	$-0.775074\pi$
$347$	3.78870	−	4.51520i	0.0109184	−	0.0130121i	0.771476	+	0.636258i	$0.219519\pi$
$348$	2.80595	−	336.654i	0.00806307	−	0.967397i
$349$	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	$0.564224\pi$
$354$	196.420	+	373.221i	0.554859	+	1.05430i
$355$	366.884	−	437.235i	1.03348	−	1.23165i
$356$	−50.2455	+	443.111i	−0.141139	+	1.24469i
$357$	22.4980	+	10.0207i	0.0630197	+	0.0280691i
$358$	116.776	+	130.765i	0.326189	+	0.365266i
$359$	45.6398	−	26.3501i	0.127130	−	0.0733987i	−0.435086	−	0.900389i	$-0.643282\pi$
$359$	45.6398	−	26.3501i	0.127130	−	0.0733987i	0.562217	+	0.826990i	$0.309949\pi$
$360$	−319.771	−	295.287i	−0.888253	−	0.820243i
$361$	427.119	−	739.793i	1.18316	−	2.04929i
$362$	22.2398	+	106.778i	0.0614359	+	0.294968i
$363$	320.244	+	79.8947i	0.882214	+	0.220096i
$364$	−21.3731	−	49.0827i	−0.0587172	−	0.134843i
$365$	−478.492	+	174.157i	−1.31094	+	0.477142i
$366$	−192.303	−	41.7280i	−0.525417	−	0.114011i
$367$	515.305	−	90.8621i	1.40410	−	0.247581i	0.580273	−	0.814422i	$-0.302946\pi$
$367$	515.305	−	90.8621i	1.40410	−	0.247581i	0.823827	+	0.566841i	$0.191835\pi$
$368$	−187.953	−	79.5436i	−0.510742	−	0.216151i
$369$	−283.736	−	315.303i	−0.768932	−	0.854481i
$370$	15.3450	+	24.7823i	0.0414729	+	0.0669793i
$371$	−91.5465	−	109.101i	−0.246756	−	0.294072i
$372$	−594.799	−	222.121i	−1.59892	−	0.597098i
$373$	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	$-0.0698875\pi$
$374$	−83.6889	+	106.217i	−0.223767	+	0.284004i
$375$	219.339	−	106.940i	0.584904	−	0.285172i
$376$	−42.0753	+	160.337i	−0.111902	+	0.426428i
$377$	203.457			0.539674
$378$	98.2209	−	16.8608i	0.259844	−	0.0446053i
$379$			341.343i			0.900640i	0.892867	+	0.450320i	$0.148690\pi$
$379$			341.343i			0.900640i	−0.892867	+	0.450320i	$0.851310\pi$
$380$	238.978	−	808.368i	0.628890	−	2.12728i
$381$	351.290	+	24.6155i	0.922022	+	0.0646076i
$382$	−360.030	+	456.948i	−0.942487	+	1.19620i
$383$	398.644	+	70.2917i	1.04085	+	0.183529i	0.667844	−	0.744301i	$-0.267217\pi$
$383$	398.644	+	70.2917i	1.04085	+	0.183529i	0.373002	+	0.927831i	$0.378329\pi$
$384$	364.476	−	120.887i	0.949155	−	0.314809i
$385$	129.899	−	108.999i	0.337401	−	0.283113i
$386$	311.430	+	502.964i	0.806814	+	1.30302i
$387$	−74.5258	−	119.343i	−0.192573	−	0.308379i
$388$	133.800	−	268.723i	0.344847	−	0.692585i
$389$	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	$0.812709\pi$
$390$	176.834	−	194.728i	0.453421	−	0.499302i
$391$	19.4072	+	53.3208i	0.0496347	+	0.136370i
$392$	−329.777	+	155.857i	−0.841269	+	0.397595i
$393$	567.100	−	162.525i	1.44300	−	0.413549i
$394$	23.9799	+	115.133i	0.0608627	+	0.292216i
$395$	14.7183	+	8.49764i	0.0372616	+	0.0215130i
$396$	−42.7957	+	545.500i	−0.108070	+	1.37753i
$397$	−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	$0.869421\pi$
$398$	185.448	+	207.665i	0.465951	+	0.521772i
$399$	113.423	+	156.161i	0.284268	+	0.391380i
$400$	9.46948	−	184.473i	0.0236737	−	0.461183i
$401$	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	$0.531529\pi$
$402$	237.311	−	376.218i	0.590325	−	0.935865i
$403$	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
$408$	−93.6348	−	51.2894i	−0.229497	−	0.125709i
$409$	−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	$0.974477\pi$
$410$	81.6147	−	563.951i	0.199060	−	1.37549i
$411$	−165.104	−	227.315i	−0.401712	−	0.553077i
$412$	−315.190	−	331.784i	−0.765024	−	0.805301i
$413$	−64.8623	−	112.345i	−0.157052	−	0.272021i
$414$	185.160	+	135.771i	0.447246	+	0.327948i
$415$	295.745	+	170.749i	0.712639	+	0.411442i
$416$	74.8886	+	219.647i	0.180021	+	0.527998i
$417$	−272.875	+	78.2032i	−0.654377	+	0.187538i
$418$	−984.160	+	392.946i	−2.35445	+	0.940062i
$419$	1.24630	+	3.42418i	0.00297447	+	0.00817228i	0.941171	−	0.337931i	$-0.109727\pi$
$419$	1.24630	+	3.42418i	0.00297447	+	0.00817228i	−0.938197	+	0.346103i	$0.887505\pi$
$420$	101.836	+	86.9071i	0.242466	+	0.206922i
$421$	−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	$-0.294215\pi$
$422$	−113.085	−	60.7236i	−0.267973	−	0.143895i
$423$	87.5976	−	164.633i	0.207086	−	0.389202i
$424$	356.719	+	503.886i	0.841319	+	1.18841i
$425$	−39.3408	+	33.0109i	−0.0925667	+	0.0776726i
$426$	−76.4626	−	561.316i	−0.179490	−	1.31764i
$427$	59.6064	+	10.5102i	0.139593	+	0.0246141i
$428$	−373.442	+	505.244i	−0.872527	+	1.18048i
$429$	−329.866	−	23.1143i	−0.768919	−	0.0538794i
$430$	59.1447	−	179.524i	0.137546	−	0.417497i
$431$			216.274i			0.501796i	0.968013	+	0.250898i	$0.0807259\pi$
$431$			216.274i			0.501796i	−0.968013	+	0.250898i	$0.919274\pi$
$432$	−430.332	+	37.9267i	−0.996139	+	0.0877932i
$433$	−714.916			−1.65108			−0.825538	−	0.564346i	$-0.809128\pi$
$433$	−714.916			−1.65108			−0.825538	+	0.564346i	$0.809128\pi$
$434$	185.485	+	61.1086i	0.427385	+	0.140803i
$435$	−457.343	+	222.980i	−1.05136	+	0.512597i
$436$	496.879	+	367.259i	1.13963	+	0.842337i
$437$	−77.2160	+	437.913i	−0.176696	+	1.00209i
$438$	−191.307	+	467.783i	−0.436775	+	1.06800i
$439$	−253.060	−	301.585i	−0.576446	−	0.686982i	0.396494	−	0.918037i	$-0.370227\pi$
$439$	−253.060	−	301.585i	−0.576446	−	0.686982i	−0.972941	+	0.231055i	$0.925782\pi$
$440$	−599.945	+	424.723i	−1.36351	+	0.965280i
$441$	401.404	−	85.2002i	0.910214	−	0.193198i
$442$	30.5230	−	56.8427i	0.0690566	−	0.128603i
$443$	−470.103	+	82.8918i	−1.06118	+	0.187115i	−0.676880	−	0.736093i	$-0.736668\pi$
$443$	−470.103	+	82.8918i	−1.06118	+	0.187115i	−0.384300	+	0.923208i	$0.625557\pi$
$444$	28.4480	+	5.26099i	0.0640721	+	0.0118491i
$445$	633.323	−	230.511i	1.42320	−	0.518002i
$446$	−46.8417	−	117.318i	−0.105026	−	0.263046i
$447$	199.696	+	49.8203i	0.446746	+	0.111455i
$448$	−110.566	+	41.5418i	−0.246799	+	0.0927273i
$449$	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	$0.139154\pi$
$450$	−58.1541	+	199.503i	−0.129231	+	0.443339i
$451$	−620.376	+	358.174i	−1.37556	+	0.794178i
$452$	29.3332	−	27.8661i	0.0648966	−	0.0616507i
$453$	447.998	+	199.539i	0.988958	+	0.440483i
$454$	−448.578	−	64.9180i	−0.988058	−	0.142991i
$455$	−52.0058	+	61.9781i	−0.114298	+	0.136216i
$456$	−434.502	−	714.972i	−0.952855	−	1.56792i
$457$	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	$0.801724\pi$
$462$	6.58671	−	168.174i	0.0142569	−	0.364013i
$463$	−41.3504	+	49.2795i	−0.0893097	+	0.106435i	−0.808849	−	0.588017i	$-0.799909\pi$
$463$	−41.3504	+	49.2795i	−0.0893097	+	0.106435i	0.719539	+	0.694452i	$0.244353\pi$
$464$	23.0122	−	448.297i	0.0495953	−	0.966158i
$465$	100.164	+	954.317i	0.215406	+	2.05229i
$466$	−318.870	+	284.756i	−0.684271	+	0.611065i
$467$	355.370	−	205.173i	0.760963	−	0.439342i	−0.0686786	−	0.997639i	$-0.521878\pi$
$467$	355.370	−	205.173i	0.760963	−	0.439342i	0.829641	+	0.558297i	$0.188545\pi$
$468$	−25.0869	−	259.862i	−0.0536045	−	0.555262i
$469$	−68.4085	+	118.487i	−0.145860	+	0.252637i
$470$	245.260	−	51.0827i	0.521829	−	0.108687i
$471$	−569.852	+	589.929i	−1.20988	+	1.25250i
$472$	240.284	+	508.415i	0.509076	+	1.07715i
$473$	−223.288	+	81.2702i	−0.472068	+	0.171819i
$474$	16.0645	−	5.14448i	0.0338914	−	0.0108533i
$475$	−396.339	+	69.8853i	−0.834399	+	0.147127i
$476$	29.3960	+	14.6366i	0.0617563	+	0.0307492i
$477$	−259.995	−	644.046i	−0.545064	−	1.35020i
$478$	511.991	−	317.019i	1.07111	−	0.663221i
$479$	−307.209	−	366.118i	−0.641355	−	0.764337i	0.343228	−	0.939252i	$-0.388479\pi$
$479$	−307.209	−	366.118i	−0.641355	−	0.764337i	−0.984584	+	0.174915i	$0.944035\pi$
$480$	−409.062	−	411.661i	−0.852212	−	0.857627i
$481$	−3.03598	+	17.2179i	−0.00631180	+	0.0357960i
$482$	220.967	+	174.100i	0.458438	+	0.361204i
$483$	−58.5431	−	39.5001i	−0.121207	−	0.0817807i
$484$	422.023	+	124.763i	0.871949	+	0.257775i
$485$	−453.681			−0.935424
$486$	480.939	+	69.9551i	0.989586	+	0.143941i
$487$			752.283i			1.54473i	0.635180	+	0.772365i	$0.280926\pi$
$487$			752.283i			1.54473i	−0.635180	+	0.772365i	$0.719074\pi$
$488$	−253.778	−	66.5959i	−0.520037	−	0.136467i
$489$	−29.6005	+	43.8709i	−0.0605327	+	0.0897155i
$490$	433.000	+	341.161i	0.883673	+	0.696248i
$491$	36.7623	+	6.48218i	0.0748723	+	0.0132020i	0.210959	−	0.977495i	$-0.432341\pi$
$491$	36.7623	+	6.48218i	0.0748723	+	0.0132020i	−0.136087	+	0.990697i	$0.543453\pi$
$492$	−359.914	−	436.261i	−0.731532	−	0.886710i
$493$	−95.6040	+	80.2213i	−0.193923	+	0.162721i
$494$	429.876	−	266.175i	0.870194	−	0.538815i
$495$	766.825	−	309.560i	1.54914	−	0.625374i
$496$	−779.617	−	329.942i	−1.57181	−	0.665205i
$497$	30.2577	+	171.600i	0.0608806	+	0.345271i
$498$	322.794	−	103.371i	0.648182	−	0.207573i
$499$	−229.552	−	630.690i	−0.460024	−	1.26391i	−0.925467	−	0.378829i	$-0.876327\pi$
$499$	−229.552	−	630.690i	−0.460024	−	1.26391i	0.465442	−	0.885078i	$-0.345895\pi$
$500$	298.305	−	129.897i	0.596610	−	0.259794i
$501$	−157.388	−	152.031i	−0.314147	−	0.303456i
$502$	520.883	−	108.489i	1.03762	−	0.216115i
$503$	−99.4014	−	57.3894i	−0.197617	−	0.114094i	0.397926	−	0.917417i	$-0.369730\pi$
$503$	−99.4014	−	57.3894i	−0.197617	−	0.114094i	−0.595544	+	0.803323i	$0.703063\pi$
$504$	131.806	−	16.8369i	0.261519	−	0.0334066i
$505$	−38.1258	−	66.0358i	−0.0754966	−	0.130764i
$506$	289.220	−	258.278i	0.571582	−	0.510432i
$507$	−347.319	+	36.4541i	−0.685048	+	0.0719016i
$508$	466.546	+	52.9028i	0.918398	+	0.104139i
$509$	−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	$0.783613\pi$
$510$	−6.31458	+	161.226i	−0.0123815	+	0.316130i
$511$	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
$516$	−92.4434	−	163.244i	−0.179154	−	0.316364i
$517$	−241.259	−	202.440i	−0.466652	−	0.391567i
$518$	−8.80680	−	1.27452i	−0.0170016	−	0.00246045i
$519$	−230.494	+	517.498i	−0.444112	+	0.997105i
$520$	246.710	−	249.273i	0.474443	−	0.479372i
$521$	−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	$0.885018\pi$
$522$	−141.323	+	484.821i	−0.270734	+	0.928776i
$523$	−131.568	−	75.9606i	−0.251563	−	0.145240i	0.368917	−	0.929462i	$-0.379729\pi$
$523$	−131.568	−	75.9606i	−0.251563	−	0.145240i	−0.620480	+	0.784222i	$0.713062\pi$
$524$	764.741	−	184.032i	1.45943	−	0.351206i
$525$	15.4721	−	62.0171i	0.0294706	−	0.118128i
$526$	155.565	+	389.623i	0.295750	+	0.740727i
$527$	80.4996	+	221.171i	0.152751	+	0.419679i
$528$	−88.2398	+	724.212i	−0.167121	+	1.37161i
$529$	63.6057	+	360.726i	0.120238	+	0.681902i
$530$	441.406	−	822.025i	0.832842	−	1.55099i
$531$	−131.352	−	618.841i	−0.247368	−	1.16543i
$532$	142.150	+	214.516i	0.267200	+	0.403225i
$533$	261.824	−	219.696i	0.491227	−	0.412188i
$534$	253.211	−	619.150i	0.474179	−	1.15946i
$535$	935.091	+	164.882i	1.74783	+	0.308190i
$536$	337.662	−	487.574i	0.629966	−	0.909654i
$537$	−115.247	−	236.378i	−0.214613	−	0.440182i
$538$	−464.840	−	153.143i	−0.864015	−	0.284653i
$539$		−	693.000i		−	1.28571i
$540$	341.189	+	556.640i	0.631831	+	1.03082i
$541$	661.494			1.22272			0.611362	−	0.791351i	$-0.290622\pi$
$541$	661.494			1.22272			0.611362	+	0.791351i	$0.290622\pi$
$542$	−269.850	+	819.084i	−0.497878	+	1.51123i
$543$	11.4360	−	163.204i	0.0210608	−	0.300561i
$544$	−121.795	−	73.6837i	−0.223887	−	0.135448i
$545$	162.152	−	919.610i	0.297527	−	1.68736i
$546$	10.8386	+	79.5666i	0.0198509	+	0.145726i
$547$	−424.901	−	506.378i	−0.776785	−	0.925737i	0.221998	−	0.975047i	$-0.428742\pi$
$547$	−424.901	−	506.378i	−0.776785	−	0.925737i	−0.998783	+	0.0493105i	$0.984298\pi$
$548$	−206.921	−	312.259i	−0.377593	−	0.569816i
$549$	260.577	+	138.647i	0.474639	+	0.252545i
$550$	309.189	+	166.027i	0.562162	+	0.301866i
$551$	−963.163	+	169.832i	−1.74803	+	0.308224i
$552$	238.879	+	191.461i	0.432751	+	0.346850i
$553$	−4.87549	+	1.77453i	−0.00881643	+	0.00320892i
$554$	−60.1906	+	24.0323i	−0.108647	+	0.0433796i
$555$	−12.0455	−	42.0307i	−0.0217037	−	0.0757309i
$556$	−367.976	+	88.5518i	−0.661827	+	0.159266i
$557$	−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	$0.168850\pi$
$558$	768.030	+	563.167i	1.37640	+	1.00926i
$559$	98.1841	−	56.6866i	0.175642	−	0.101407i
$560$	130.680	+	121.600i	0.233358	+	0.217142i
$561$	164.117	−	119.202i	0.292544	−	0.212481i
$562$	37.1229	−	256.516i	0.0660549	−	0.456435i
$563$	256.786	−	306.025i	0.456103	−	0.543562i	−0.488160	−	0.872754i	$-0.662332\pi$
$563$	256.786	−	306.025i	0.456103	−	0.543562i	0.944263	+	0.329192i	$0.106776\pi$
$564$	126.115	−	214.292i	0.223608	−	0.379951i
$565$	−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	$0.690110\pi$
$570$	−674.585	+	1069.45i	−1.18348	+	1.87622i
$571$	221.416	−	263.873i	0.387768	−	0.462124i	−0.536482	−	0.843912i	$-0.680247\pi$
$571$	221.416	−	263.873i	0.387768	−	0.462124i	0.924250	+	0.381788i	$0.124691\pi$
$572$	−438.092	−	49.6764i	−0.765896	−	0.0868468i
$573$	706.032	−	512.807i	1.23217	−	0.894951i
$574$	115.871	+	129.752i	0.201865	+	0.226049i
$575$	127.533	−	73.6311i	0.221796	−	0.128054i
$576$	−575.418	+	25.8845i	−0.998990	+	0.0449383i
$577$	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	$0.0788397\pi$
$578$	−109.787	−	527.112i	−0.189943	−	0.911958i
$579$	−244.468	−	853.024i	−0.422224	−	1.47327i
$580$	−621.995	+	270.848i	−1.07240	+	0.466979i
$581$	−97.9663	+	35.6568i	−0.168617	+	0.0613715i
$582$	−302.716	+	333.348i	−0.520131	+	0.572762i
$583$	−1155.14	+	203.682i	−1.98137	+	0.349369i
$584$	−281.623	+	612.183i	−0.482232	+	1.04826i
$585$	−334.664	+	208.987i	−0.572075	+	0.357243i
$586$	272.787	+	440.555i	0.465507	+	0.751800i
$587$	503.505	+	600.054i	0.857761	+	1.02224i	0.999477	+	0.0323320i	$0.0102934\pi$
$587$	503.505	+	600.054i	0.857761	+	1.02224i	−0.141717	+	0.989907i	$0.545262\pi$
$588$	539.590	−	90.5139i	0.917670	−	0.153935i
$589$	−320.287	+	1816.44i	−0.543780	+	3.08393i
$590$	525.966	−	667.552i	0.891467	−	1.13144i
$591$	12.3308	−	175.974i	0.0208643	−	0.297757i
$592$	37.5945	+	8.63692i	0.0635042	+	0.0145894i
$593$	490.712			0.827508			0.413754	−	0.910389i	$-0.364217\pi$
$593$	490.712			0.827508			0.413754	+	0.910389i	$0.364217\pi$
$594$	284.207	−	769.987i	0.478463	−	1.29627i
$595$		−	49.6288i		−	0.0834097i
$596$	263.163	+	77.7990i	0.441549	+	0.130535i
$597$	−183.021	−	375.386i	−0.306568	−	0.628787i
$598$	−114.499	+	145.321i	−0.191469	+	0.243012i
$599$	384.673	+	67.8282i	0.642192	+	0.113236i	0.485255	−	0.874373i	$-0.338727\pi$
$599$	384.673	+	67.8282i	0.642192	+	0.113236i	0.156937	+	0.987609i	$0.449838\pi$
$600$	−88.8894	+	262.429i	−0.148149	+	0.437381i
$601$	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	$0.255122\pi$
$602$	30.3775	+	49.0601i	0.0504609	+	0.0814951i
$603$	−495.966	+	446.311i	−0.822498	+	0.740151i
$604$	585.356	+	291.456i	0.969132	+	0.482543i
$605$	−115.492	−	654.990i	−0.190897	−	1.08263i
$606$	−73.9599	−	16.0487i	−0.122046	−	0.0264830i
$607$	273.102	+	750.341i	0.449921	+	1.23615i	0.932779	+	0.360449i	$0.117376\pi$
$607$	273.102	+	750.341i	0.449921	+	1.23615i	−0.482858	+	0.875699i	$0.660401\pi$
$608$	−537.867	−	977.294i	−0.884650	−	1.60739i
$609$	37.5994	−	150.711i	0.0617396	−	0.247472i
$610$	80.8525	+	388.191i	0.132545	+	0.636379i
$611$	130.134	+	75.1329i	0.212985	+	0.122967i
$612$	114.250	+	112.217i	0.186682	+	0.183361i
$613$	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	$0.611462\pi$
$614$	221.753	+	248.319i	0.361160	+	0.404428i
$615$	−347.766	+	780.793i	−0.565474	+	1.26958i
$616$	18.4026	−	223.648i	0.0298744	−	0.363065i
$617$	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	$0.715754\pi$
$618$	319.694	+	607.456i	0.517304	+	0.982938i
$619$	−10.7828	+	29.6256i	−0.0174198	+	0.0478604i	−0.948098	−	0.317979i	$-0.896996\pi$
$619$	−10.7828	+	29.6256i	−0.0174198	+	0.0478604i	0.930678	+	0.365839i	$0.119218\pi$
$620$	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
$624$	−18.5405	−	347.600i	−0.0297123	−	0.557051i
$625$	−597.773	−	501.591i	−0.956437	−	0.802546i
$626$	−28.3447	+	195.859i	−0.0452790	+	0.312875i
$627$	1580.88	−	165.926i	2.52133	−	0.264635i
$628$	−792.877	+	753.220i	−1.26254	+	1.19940i
$629$	−5.36225	−	9.28770i	−0.00852505	−	0.0147658i
$630$	−111.565	−	166.976i	−0.177087	−	0.265041i
$631$	632.428	+	365.132i	1.00226	+	0.578657i	0.908917	−	0.416977i	$-0.136911\pi$
$631$	632.428	+	365.132i	1.00226	+	0.578657i	0.0933456	+	0.995634i	$0.470244\pi$
$632$	21.6941	−	5.93324i	0.0343261	−	0.00938804i
$633$	138.479	+	133.766i	0.218766	+	0.211321i
$634$	266.468	−	106.393i	0.420296	−	0.167812i
$635$	−242.702	−	666.818i	−0.382208	−	1.05011i
$636$	−309.467	−	872.821i	−0.486584	−	1.37236i
$637$	57.4162	+	325.623i	0.0901353	+	0.511183i
$638$	751.375	+	403.469i	1.17770	+	0.632396i
$639$	−118.505	+	841.446i	−0.185454	+	1.31682i
$640$	−521.344	−	571.795i	−0.814600	−	0.893430i
$641$	−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	$0.459083\pi$
$642$	745.085	−	577.054i	1.16057	−	0.898838i
$643$	584.297	+	103.027i	0.908704	+	0.160229i	0.608415	−	0.793619i	$-0.291806\pi$
$643$	584.297	+	103.027i	0.908704	+	0.160229i	0.300289	+	0.953848i	$0.402917\pi$
$644$	−75.7240	−	55.9700i	−0.117584	−	0.0869099i
$645$	−158.578	+	235.029i	−0.245858	+	0.364385i
$646$	−97.0473	+	294.571i	−0.150228	+	0.455992i
$647$		−	159.465i		−	0.246468i	−0.992378	−	0.123234i	$-0.960673\pi$
$647$		−	159.465i		−	0.246468i	0.992378	−	0.123234i	$-0.0393266\pi$
$648$	636.655	+	120.723i	0.982493	+	0.186300i
$649$	−1068.39			−1.64621
$650$	−159.036	−	52.3949i	−0.244670	−	0.0806075i
$651$	−242.833	−	163.844i	−0.373015	−	0.251680i
$652$	−41.9427	+	56.7459i	−0.0643292	+	0.0870335i
$653$	−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	$0.0715316\pi$
$654$	−567.500	−	732.749i	−0.867737	−	1.12041i
$655$	−764.116	−	910.637i	−1.16659	−	1.39029i
$656$	−454.465	−	601.752i	−0.692782	−	0.917304i
$657$	466.896	−	597.245i	0.710649	−	0.909049i
$658$	−36.1817	+	67.3807i	−0.0549874	+	0.102402i
$659$	−808.587	+	142.576i	−1.22699	+	0.216352i	−0.749332	−	0.662194i	$-0.769625\pi$
$659$	−808.587	+	142.576i	−1.22699	+	0.216352i	−0.477658	+	0.878546i	$0.658514\pi$
$660$	1039.21	−	368.463i	1.57457	−	0.558278i
$661$	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	$0.148559\pi$
$662$	−408.278	−	1022.56i	−0.616734	−	1.54465i
$663$	−67.2384	+	69.6073i	−0.101415	+	0.104988i
$664$	435.914	−	119.220i	0.656497	−	0.179549i
$665$	194.460	−	336.814i	0.292421	−	0.506487i
$666$	−38.9199	−	19.1942i	−0.0584383	−	0.0288201i
$667$	309.923	−	178.934i	0.464653	−	0.268267i
$668$	−200.953	−	211.533i	−0.300827	−	0.316666i
$669$	19.7795	+	188.451i	0.0295658	+	0.281690i
$670$	−887.085	−	128.378i	−1.32401	−	0.191610i
$671$	320.418	−	381.859i	0.477523	−	0.569090i
$672$	176.543	−	14.8822i	0.262712	−	0.0221462i
$673$	−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	$0.312835\pi$
$678$	−53.7056	+	28.2644i	−0.0792117	+	0.0416878i
$679$	89.0269	−	106.098i	0.131115	−	0.156256i
$680$	−17.6423	+	214.408i	−0.0259446	+	0.315306i
$681$	621.059	+	276.621i	0.911981	+	0.406198i
$682$	1199.67	−	1071.32i	1.75904	−	1.57085i
$683$	550.865	−	318.042i	0.806538	−	0.465655i	−0.0392143	−	0.999231i	$-0.512485\pi$
$683$	550.865	−	318.042i	0.806538	−	0.465655i	0.845752	+	0.533576i	$0.179152\pi$
$684$	335.676	+	1209.24i	0.490754	+	1.76790i
$685$	−283.065	+	490.282i	−0.413233	+	0.715741i
$686$	−341.813	+	71.1929i	−0.498270	+	0.103780i
$687$	620.937	+	154.912i	0.903839	+	0.225491i
$688$	−113.798	−	222.750i	−0.165404	−	0.323765i
$689$	525.895	−	191.410i	0.763273	−	0.277809i
$690$	98.1119	−	452.146i	0.142191	−	0.655284i
$691$	−645.060	+	113.741i	−0.933516	+	0.164604i	−0.619663	−	0.784868i	$-0.712731\pi$
$691$	−645.060	+	113.741i	−0.933516	+	0.164604i	−0.313853	+	0.949472i	$0.601620\pi$
$692$	−336.670	+	676.164i	−0.486518	+	0.977116i
$693$	−78.0820	+	240.076i	−0.112672	+	0.346430i
$694$	−10.0226	+	6.20588i	−0.0144418	+	0.00894219i
$695$	367.674	+	438.177i	0.529028	+	0.630471i
$696$	−216.014	+	637.740i	−0.310365	+	0.916294i
$697$	−36.4061	+	206.469i	−0.0522326	+	0.296226i
$698$	−169.984	−	133.930i	−0.243530	−	0.191877i
$699$	576.405	−	281.029i	0.824614	−	0.402044i
$700$	24.1611	−	81.7273i	0.0345158	−	0.116753i
$701$	−349.923			−0.499177			−0.249589	−	0.968352i	$-0.580295\pi$
$701$	−349.923			−0.499177			−0.249589	+	0.968352i	$0.580295\pi$
$702$	−69.7471	+	385.345i	−0.0993548	+	0.548924i
$703$		−	84.0434i		−	0.119550i
$704$	−159.008	+	959.674i	−0.225863	+	1.36317i
$705$	−374.865	−	26.2674i	−0.531724	−	0.0372588i
$706$	−162.781	−	128.255i	−0.230568	−	0.181665i
$707$	22.9247	+	4.04225i	0.0324254	+	0.00571746i
$708$	−139.544	−	831.881i	−0.197097	−	1.17497i
$709$	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	$0.236870\pi$
$710$	−970.551	+	600.955i	−1.36697	+	0.846415i
$711$	−25.2870	+	0.875743i	−0.0355655	+	0.00123171i
$712$	372.752	−	810.275i	0.523528	−	1.13803i
$713$	−117.196	−	664.654i	−0.164371	−	0.932193i
$714$	−36.4654	−	33.1146i	−0.0510720	−	0.0463789i
$715$	227.900	+	626.150i	0.318741	+	0.875734i
$716$	−139.988	−	321.478i	−0.195513	−	0.448991i
$717$	−868.333	+	248.855i	−1.21106	+	0.347078i
$718$	−103.186	+	21.4916i	−0.143713	+	0.0299326i
$719$	−74.8435	−	43.2109i	−0.104094	−	0.0600987i	0.447049	−	0.894509i	$-0.352475\pi$
$719$	−74.8435	−	43.2109i	−0.104094	−	0.0600987i	−0.551143	+	0.834411i	$0.685808\pi$
$720$	422.630	+	761.036i	0.586986	+	1.05699i
$721$	−105.570	−	182.853i	−0.146422	−	0.253610i
$722$	−1274.32	+	1137.99i	−1.76498	+	1.57616i
$723$	−247.979	−	341.417i	−0.342986	−	0.472223i
$724$	24.5779	−	216.750i	0.0339473	−	0.299379i
$725$	248.117	+	208.195i	0.342230	+	0.287165i
$726$	−558.324	−	352.180i	−0.769042	−	0.485096i
$727$	115.949	−	318.567i	0.159490	−	0.438194i	−0.834049	−	0.551691i	$-0.813983\pi$
$727$	115.949	−	318.567i	0.159490	−	0.438194i	0.993538	+	0.113497i	$0.0362051\pi$
$728$	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
$732$	339.177	+	199.612i	0.463357	+	0.272693i
$733$	−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	$0.810584\pi$
$734$	−1035.72	−	149.889i	−1.41106	−	0.204208i
$735$	−485.931	−	669.030i	−0.661131	−	0.910245i
$736$	307.249	+	268.723i	0.417459	+	0.365113i
$737$	563.402	+	975.840i	0.764453	+	1.32407i
$738$	341.652	+	776.507i	0.462944	+	1.05218i
$739$	472.153	+	272.598i	0.638908	+	0.368874i	0.784194	−	0.620516i	$-0.213077\pi$
$739$	472.153	+	272.598i	0.638908	+	0.368874i	−0.145286	+	0.989390i	$0.546410\pi$
$740$	−13.6395	−	56.6789i	−0.0184318	−	0.0765930i
$741$	−729.066	+	208.943i	−0.983895	+	0.281974i
$742$	105.621	+	264.536i	0.142347	+	0.356517i
$743$	468.474	+	1287.12i	0.630517	+	1.73233i	0.679646	+	0.733540i	$0.262133\pi$
$743$	468.474	+	1287.12i	0.630517	+	1.73233i	−0.0491289	+	0.998792i	$0.515645\pi$
$744$	990.853	+	794.169i	1.33179	+	1.06743i
$745$	−72.0181	−	408.435i	−0.0966686	−	0.548235i
$746$	−271.021	+	504.719i	−0.363299	+	0.676567i
$747$	−508.109	+	17.5969i	−0.680199	+	0.0235567i
$748$	225.445	−	149.393i	0.301398	−	0.199723i
$749$	−222.055	+	186.326i	−0.296468	+	0.248767i
$750$	−483.574	+	65.8725i	−0.644765	+	0.0878301i
$751$	−292.724	−	51.6151i	−0.389779	−	0.0687285i	−0.0246753	−	0.999696i	$-0.507855\pi$
$751$	−292.724	−	51.6151i	−0.389779	−	0.0687285i	−0.365103	+	0.930967i	$0.618966\pi$
$752$	180.267	−	278.239i	0.239716	−	0.369999i
$753$	−796.139	−	55.7868i	−1.05729	−	0.0740861i
$754$	−386.480	−	127.327i	−0.512573	−	0.168869i
$755$		−	988.246i		−	1.30894i
$756$	−197.129	−	29.4402i	−0.260752	−	0.0389421i
$757$	460.039			0.607714			0.303857	−	0.952718i	$-0.401726\pi$
$757$	460.039			0.607714			0.303857	+	0.952718i	$0.401726\pi$
$758$	213.619	−	648.403i	0.281819	−	0.855413i
$759$	−522.808	+	254.897i	−0.688812	+	0.335833i
$760$	−959.847	+	1385.99i	−1.26296	+	1.82367i
$761$	−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	$0.903835\pi$
$762$	−651.895	−	266.603i	−0.855505	−	0.349872i
$763$	183.241	+	218.379i	0.240159	+	0.286210i
$764$	969.867	−	642.689i	1.26946	−	0.841216i
$765$	74.8561	−	230.158i	0.0978511	−	0.300860i
$766$	−713.261	−	383.002i	−0.931150	−	0.500003i
$767$	502.010	−	88.5180i	0.654512	−	0.115408i
$768$	−767.998	+	1.53643i	−0.999998	+	0.00200056i
$769$	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	$0.261058\pi$
$770$	−314.966	+	125.757i	−0.409047	+	0.163320i
$771$	975.059	+	243.259i	1.26467	+	0.315511i
$772$	−276.818	−	1150.31i	−0.358573	−	1.49004i
$773$	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	$-0.0938595\pi$
$774$	66.8798	+	273.339i	0.0864080	+	0.353151i
$775$	528.997	−	305.417i	0.682577	−	0.394086i
$776$	−422.335	+	426.722i	−0.544246	+	0.549900i
$777$	12.1931	+	5.43081i	0.0156925	+	0.00698946i
$778$	89.6230	−	619.288i	0.115197	−	0.796000i
$779$	−1056.08	+	1258.59i	−1.35569	+	1.61565i
$780$	−457.772	+	259.232i	−0.586888	+	0.332349i
$781$	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
$786$	−1178.96	−	46.1749i	−1.49994	−	0.0587468i
$787$	241.147	−	287.388i	0.306414	−	0.365169i	−0.590760	−	0.806847i	$-0.701172\pi$
$787$	241.147	−	287.388i	0.306414	−	0.365169i	0.897174	+	0.441678i	$0.145617\pi$
$788$	26.5010	−	233.710i	0.0336306	−	0.296586i
$789$	−65.6892	−	625.858i	−0.0832562	−	0.793230i
$790$	−22.6405	−	25.3528i	−0.0286588	−	0.0320922i
$791$	16.1661	−	9.33352i	0.0204376	−	0.0117996i
$792$	422.677	−	1009.43i	0.533683	−	1.27453i
$793$	−118.919	+	205.973i	−0.149961	+	0.259739i
$794$	36.6318	+	175.878i	0.0461358	+	0.221508i
$795$	−972.362	+	1006.62i	−1.22310	+	1.26619i
$796$	−222.311	−	510.531i	−0.279285	−	0.641371i
$797$	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	$0.259963\pi$
$798$	−117.726	−	367.620i	−0.147527	−	0.460676i
$799$	−90.7738	+	16.0059i	−0.113609	+	0.0200324i
$800$	−133.435	+	344.493i	−0.166793	+	0.430616i
$801$	−617.976	+	790.504i	−0.771506	+	0.986896i
$802$	−476.150	−	768.989i	−0.593703	−	0.958839i
$803$	−822.940	−	980.741i	−1.02483	−	1.22135i
$804$	−686.231	+	566.137i	−0.853521	+	0.704151i
$805$	−24.7118	+	140.148i	−0.0306979	+	0.174097i
$806$	−474.933	+	602.782i	−0.589246	+	0.747868i
$807$	608.559	+	410.606i	0.754100	+	0.508805i
$808$	−97.6035	−	25.6129i	−0.120796	−	0.0316992i
$809$	−743.913			−0.919547			−0.459773	−	0.888036i	$-0.652069\pi$
$809$	−743.913			−0.919547			−0.459773	+	0.888036i	$0.652069\pi$
$810$	−265.538	−	942.640i	−0.327825	−	1.16375i
$811$		−	359.086i		−	0.442770i	−0.975187	−	0.221385i	$-0.928942\pi$
$811$		−	359.086i		−	0.442770i	0.975187	−	0.221385i	$-0.0710577\pi$
$812$	58.7150	−	198.609i	0.0723091	−	0.244593i
$813$	723.519	−	1072.33i	0.889937	−	1.31898i
$814$	−45.3562	+	57.5658i	−0.0557201	+	0.0707196i
$815$	105.024	+	18.5185i	0.128863	+	0.0227221i
$816$	145.768	+	156.026i	0.178637	+	0.191208i
$817$	−417.484	+	350.311i	−0.510996	+	0.428777i
$818$	613.300	+	990.488i	0.749755	+	1.21087i
$819$	16.7981	−	119.275i	0.0205105	−	0.145635i
$820$	−507.964	+	1020.19i	−0.619468	+	1.24413i
$821$	−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	$0.961017\pi$
$822$	171.368	+	535.124i	0.208477	+	0.651003i
$823$	191.591	+	526.392i	0.232796	+	0.639601i	0.999998	−	0.00180367i	$-0.000574126\pi$
$823$	191.591	+	526.392i	0.232796	+	0.639601i	−0.767203	+	0.641405i	$0.778352\pi$
$824$	391.087	+	827.498i	0.474620	+	1.00424i
$825$	−378.621	−	365.735i	−0.458934	−	0.443316i
$826$	52.9028	+	253.998i	0.0640469	+	0.307504i
$827$	719.173	+	415.215i	0.869617	+	0.502073i	0.867221	−	0.497924i	$-0.165904\pi$
$827$	719.173	+	415.215i	0.869617	+	0.502073i	0.00239586	+	0.999997i	$0.499237\pi$
$828$	−266.756	−	373.781i	−0.322169	−	0.451427i
$829$	−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	$0.989007\pi$
$830$	−454.930	−	509.431i	−0.548108	−	0.613772i
$831$	96.6854	−	10.1479i	0.116348	−	0.0122117i
$832$	−4.79674	−	464.101i	−0.00576531	−	0.557813i
$833$	−155.370	−	130.371i	−0.186519	−	0.156508i
$834$	567.286	+	22.2183i	0.680199	+	0.0266406i
$835$	−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	−0.960155	−	0.279467i	$-0.909842\pi$
$839$	−37.7515	+	103.721i	−0.0449958	+	0.123625i	0.915160	+	0.403092i	$0.132064\pi$
$840$	−139.056	−	228.817i	−0.165543	−	0.272401i
$841$	−41.2825	−	34.6401i	−0.0490873	−	0.0411892i
$842$	−164.367	+	1135.76i	−0.195210	+	1.34889i
$843$	−158.183	+	355.148i	−0.187643	+	0.421290i
$844$	176.810	+	186.119i	0.209491	+	0.220520i
$845$	351.860	+	609.439i	0.416402	+	0.721229i
$846$	−269.427	+	257.910i	−0.318472	+	0.304858i
$847$	175.840	+	101.521i	0.207603	+	0.119860i
$848$	−362.271	−	1180.41i	−0.427206	−	1.39199i
$849$	65.8021	−	263.756i	0.0775054	−	0.310666i
$850$	95.3893	−	38.0861i	0.112223	−	0.0448072i
$851$	10.5179	+	28.8978i	0.0123595	+	0.0339575i
$852$	−206.036	+	1114.11i	−0.241827	+	1.30764i
$853$	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	$0.643537\pi$
$854$	−106.649	−	57.2676i	−0.124881	−	0.0670581i
$855$	1409.85	−	1268.70i	1.64894	−	1.48386i
$856$	1025.57	−	726.037i	1.19809	−	0.848174i
$857$	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	$0.170463\pi$
$858$	612.137	+	250.343i	0.713446	+	0.291775i
$859$	−920.969	−	162.392i	−1.07214	−	0.189047i	−0.390403	−	0.920644i	$-0.627664\pi$
$859$	−920.969	−	162.392i	−1.07214	−	0.189047i	−0.681738	+	0.731597i	$0.738775\pi$
$860$	−224.699	+	304.003i	−0.261277	+	0.353492i
$861$	−114.354	−	234.546i	−0.132815	−	0.272411i
$862$	135.348	−	410.827i	0.157017	−	0.476598i
$863$			394.937i			0.457633i	0.973470	+	0.228817i	$0.0734856\pi$
$863$			394.937i			0.457633i	−0.973470	+	0.228817i	$0.926514\pi$
$864$	841.179	+	197.265i	0.973587	+	0.228316i
$865$	1141.56			1.31972
$866$	1358.03	+	447.408i	1.56816	+	0.516637i
$867$	−56.4539	+	805.660i	−0.0651141	+	0.929250i
$868$	−314.098	−	232.160i	−0.361864	−	0.267465i
$869$	−7.42011	+	42.0816i	−0.00853868	+	0.0484253i
$870$	1008.30	−	137.351i	1.15896	−	0.157874i
$871$	−345.578	−	411.844i	−0.396760	−	0.472841i
$872$	−714.017	−	1008.59i	−0.818827	−	1.15664i
$873$	572.900	−	357.758i	0.656243	−	0.409803i
$874$	420.731	−	783.522i	0.481386	−	0.896479i
$875$	147.833	−	26.0670i	0.168952	−	0.0297908i
$876$	656.148	−	768.861i	0.749028	−	0.877696i
$877$	−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	$0.412812\pi$
$878$	291.967	+	731.250i	0.332536	+	0.832859i
$879$	−214.133	−	747.178i	−0.243610	−	0.850032i
$880$	1405.44	−	431.333i	1.59709	−	0.490151i
$881$	−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	$0.197278\pi$
$882$	−815.814	−	89.3629i	−0.924959	−	0.101318i
$883$	−470.009	+	271.360i	−0.532287	+	0.307316i	−0.741947	−	0.670458i	$-0.766098\pi$
$883$	−470.009	+	271.360i	−0.532287	+	0.307316i	0.209660	+	0.977774i	$0.432764\pi$
$884$	−93.5537	+	88.8745i	−0.105830	+	0.100537i
$885$	−1031.44	+	749.156i	−1.16547	+	0.846504i
$886$	944.867	+	136.741i	1.06644	+	0.154335i
$887$	663.573	−	790.815i	0.748109	−	0.891561i	−0.248925	−	0.968523i	$-0.580077\pi$
$887$	663.573	−	790.815i	0.748109	−	0.891561i	0.997034	+	0.0769612i	$0.0245218\pi$
$888$	−50.7464	−	27.7969i	−0.0571469	−	0.0313028i
$889$	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
$894$	−348.157	−	219.610i	−0.389437	−	0.245649i
$895$	−340.623	+	405.939i	−0.380585	+	0.453563i
$896$	236.025	−	9.71711i	0.263421	−	0.0108450i
$897$	224.536	−	163.085i	0.250319	−	0.181812i
$898$	−115.640	+	103.269i	−0.128776	+	0.114999i
$899$	1285.54	−	742.208i	1.42997	−	0.825592i
$900$	235.320	−	342.575i	0.261467	−	0.380639i
$901$	−171.645	+	297.299i	−0.190506	+	0.329965i
$902$	1402.60	−	292.133i	1.55499	−	0.323873i
$903$	−23.8458	−	83.2055i	−0.0264073	−	0.0921434i
$904$	−73.1596	+	34.5763i	−0.0809287	+	0.0382481i
$905$	−309.794	+	112.756i	−0.342314	+	0.124592i
$906$	−726.127	−	659.403i	−0.801464	−	0.727818i
$907$	1557.22	−	274.580i	1.71689	−	0.302735i	0.773349	−	0.633980i	$-0.218580\pi$
$907$	1557.22	−	274.580i	1.71689	−	0.302735i	0.943545	+	0.331245i	$0.107469\pi$
$908$	811.478	+	404.045i	0.893698	+	0.444983i
$909$	100.218	+	53.3241i	0.110251	+	0.0586624i
$910$	137.576	−	85.1853i	0.151182	−	0.0936102i
$911$	−1014.93	−	1209.55i	−1.11408	−	1.32771i	−0.939296	−	0.343108i	$-0.888520\pi$
$911$	−1014.93	−	1209.55i	−1.11408	−	1.32771i	−0.174788	−	0.984606i	$-0.555924\pi$
$912$	377.922	+	1630.06i	0.414388	+	1.78734i
$913$	−149.097	+	845.572i	−0.163305	+	0.926147i
$914$	−169.310	−	133.400i	−0.185241	−	0.145952i
$915$	41.5755	−	593.328i	0.0454377	−	0.648446i
$916$	818.284	+	241.909i	0.893323	+	0.264093i
$917$	362.907			0.395755
$918$	−119.164	−	208.573i	−0.129808	−	0.227204i
$919$			1157.09i			1.25907i	0.776971	+	0.629536i	$0.216755\pi$
$919$			1157.09i			1.25907i	−0.776971	+	0.629536i	$0.783245\pi$
$920$	156.582	−	596.688i	0.170198	−	0.648574i
$921$	−218.850	−	448.873i	−0.237622	−	0.487375i
$922$	816.444	+	643.278i	0.885514	+	0.697698i
$923$	−674.304	−	118.898i	−0.730557	−	0.128817i
$924$	−117.758	+	315.336i	−0.127444	+	0.341273i
$925$	−21.3212	+	17.8906i	−0.0230500	+	0.0193412i
$926$	109.388	−	67.7318i	0.118129	−	0.0731445i
$927$	−213.790	−	1007.23i	−0.230625	−	1.08655i
$928$	−324.266	+	837.169i	−0.349425	+	0.902122i
$929$	−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	$-0.137201\pi$
$930$	406.962	−	1875.47i	0.437593	−	2.01664i
$931$	−543.615	−	1493.57i	−0.583904	−	1.60426i
$932$	783.921	−	341.358i	0.841117	−	0.366264i
$933$	−256.274	+	1027.23i	−0.274678	+	1.10100i
$934$	−803.449	+	167.342i	−0.860224	+	0.179167i
$935$	−353.975	−	204.367i	−0.378583	−	0.218575i
$936$	−114.972	+	509.326i	−0.122834	+	0.544151i
$937$	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	$0.476911\pi$
$938$	204.098	−	182.262i	0.217588	−	0.194310i
$939$	120.779	−	271.168i	0.128625	−	0.288784i
$940$	−497.855	−	56.4530i	−0.529633	−	0.0600564i
$941$	−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	$0.894879\pi$
$942$	1451.66	−	763.985i	1.54104	−	0.811024i
$943$	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	−0.990454	−	0.137846i	$-0.955982\pi$
$947$	−135.532	+	372.370i	−0.143117	+	0.393210i	0.847337	+	0.531056i	$0.178204\pi$
$948$	−33.7351	−	0.281176i	−0.0355855	−	0.000296599i
$949$	467.935	+	392.644i	0.493082	+	0.413745i
$950$	796.609	+	115.285i	0.838535	+	0.121352i
$951$	−428.033	+	44.9257i	−0.450087	+	0.0472404i
$952$	−46.6797	−	46.1998i	−0.0490333	−	0.0485292i
$953$	−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	$0.939867\pi$
$954$	90.8228	+	1386.12i	0.0952021	+	1.45295i
$955$	−1522.80	−	879.190i	−1.59456	−	0.920617i
$956$	−1170.96	+	281.786i	−1.22485	+	0.294755i
$957$	−920.104	−	888.791i	−0.961446	−	0.928726i
$958$	354.441	+	887.722i	0.369980	+	0.926641i
$959$	−59.1114	−	162.407i	−0.0616386	−	0.169351i
$960$	519.415	+	1037.98i	0.541057	+	1.08123i
$961$	−319.247	−	1810.54i	−0.332203	−	1.88401i
$962$	16.5423	−	30.8065i	0.0171957	−	0.0320234i
$963$	−1310.84	+	529.173i	−1.36120	+	0.549505i
$964$	−310.786	−	469.000i	−0.322392	−	0.486515i
$965$	−1369.77	+	1149.37i	−1.41945	+	1.19106i
$966$	86.4866	+	111.670i	0.0895306	+	0.115601i
$967$	266.429	+	46.9787i	0.275521	+	0.0485819i	0.309702	−	0.950834i	$-0.399771\pi$
$967$	266.429	+	46.9787i	0.275521	+	0.0485819i	−0.0341801	+	0.999416i	$0.510882\pi$
$968$	−723.582	−	501.105i	−0.747503	−	0.517671i
$969$	260.202	−	385.646i	0.268527	−	0.397983i
$970$	861.796	+	283.922i	0.888450	+	0.292703i
$971$			1334.83i			1.37469i	0.726330	+	0.687346i	$0.241225\pi$
$971$			1334.83i			1.37469i	−0.726330	+	0.687346i	$0.758775\pi$
$972$	−869.796	−	433.865i	−0.894852	−	0.446363i
$973$	−174.622			−0.179468
$974$	470.793	−	1429.01i	0.483360	−	1.46716i
$975$	208.206	+	140.481i	0.213545	+	0.144083i
$976$	440.391	+	285.322i	0.451220	+	0.292338i
$977$	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	$0.0548446\pi$
$978$	83.6833	−	64.8111i	0.0855658	−	0.0662691i
$979$	1089.23	+	1298.09i	1.11259	+	1.32594i
$980$	−609.007	−	919.038i	−0.621436	−	0.937794i
$981$	520.412	+	1289.14i	0.530492	+	1.31410i
$982$	−65.7757	−	35.3198i	−0.0669814	−	0.0359673i
$983$	−228.830	+	40.3488i	−0.232787	+	0.0410466i	−0.288825	−	0.957382i	$-0.593264\pi$
$983$	−228.830	+	40.3488i	−0.232787	+	0.0410466i	0.0560376	+	0.998429i	$0.482153\pi$
$984$	410.659	+	1053.95i	0.417336	+	1.07109i
$985$	−334.033	+	121.578i	−0.339120	+	0.123430i
$986$	231.810	−	92.5549i	0.235101	−	0.0938690i
$987$	79.7037	−	82.5118i	0.0807535	−	0.0835986i
$988$	−983.154	+	236.592i	−0.995096	+	0.239466i
$989$	99.7082	−	172.700i	0.100817	−	0.174621i
$990$	−1650.36	+	108.137i	−1.66703	+	0.109229i
$991$	−277.126	+	159.999i	−0.279643	+	0.161452i	−0.633262	−	0.773938i	$-0.718284\pi$
$991$	−277.126	+	159.999i	−0.279643	+	0.161452i	0.353619	+	0.935390i	$0.384951\pi$
$992$	1274.45	+	1114.64i	1.28473	+	1.12363i
$993$	172.400	+	1642.56i	0.173616	+	1.65414i
$994$	49.9138	−	344.901i	0.0502151	−	0.346983i
$995$	−540.936	+	644.662i	−0.543654	+	0.647902i
$996$	−677.861	−	5.64985i	−0.680583	−	0.00567254i
$997$	−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.31.5	yes	204
3.2	odd	2		324.3.j.a.307.30		204
4.3	odd	2	inner	108.3.j.a.31.6	yes	204
12.11	even	2		324.3.j.a.307.29		204
27.7	even	9	inner	108.3.j.a.7.6	yes	204
27.20	odd	18		324.3.j.a.19.29		204
108.7	odd	18	inner	108.3.j.a.7.5	✓	204
108.47	even	18		324.3.j.a.19.30		204

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

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-1.89957 - 0.625818i) q^{2} +(2.48687 + 1.67794i) q^{3} +(3.21670 + 2.37757i) q^{4} +(1.04974 - 5.95339i) q^{5} +(-3.67389 - 4.74368i) q^{6} +(1.18627 + 1.41374i) q^{7} +(-4.62241 - 6.52942i) q^{8} +(3.36905 + 8.34563i) q^{9} +O(q^{10})\)	\(q+(-1.89957 - 0.625818i) q^{2} +(2.48687 + 1.67794i) q^{3} +(3.21670 + 2.37757i) q^{4} +(1.04974 - 5.95339i) q^{5} +(-3.67389 - 4.74368i) q^{6} +(1.18627 + 1.41374i) q^{7} +(-4.62241 - 6.52942i) q^{8} +(3.36905 + 8.34563i) q^{9} +(-5.71979 + 10.6519i) q^{10} +(14.9684 - 2.63934i) q^{11} +(4.01012 + 11.3101i) q^{12} +(-6.81461 + 2.48032i) q^{13} +(-1.36865 - 3.42789i) q^{14} +(12.6000 - 13.0439i) q^{15} +(4.69435 + 15.2959i) q^{16} +(2.22420 - 3.85243i) q^{17} +(-1.17689 - 17.9615i) q^{18} +(30.1899 - 17.4301i) q^{19} +(17.5313 - 16.6544i) q^{20} +(0.577931 + 5.50628i) q^{21} +(-30.0853 - 4.35392i) q^{22} +(-8.19924 + 9.77147i) q^{23} +(-0.539396 - 23.9939i) 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} +(-32.0976 + 16.8924i) q^{30} +(-34.0099 + 40.5314i) q^{31} +(0.655192 - 31.9933i) q^{32} +(41.6532 + 18.5524i) q^{33} +(-6.63594 + 5.92600i) q^{34} +(9.66183 - 5.57826i) q^{35} +(-9.00504 + 34.8555i) q^{36} +(1.20543 - 2.08787i) q^{37} +(-68.2558 + 14.2163i) q^{38} +(-21.1089 - 5.26627i) q^{39} +(-43.7245 + 20.6648i) q^{40} +(-44.2880 + 16.1195i) q^{41} +(2.34811 - 10.8212i) q^{42} +(-15.3959 + 2.71472i) q^{43} +(54.4242 + 27.0985i) q^{44} +(53.2214 - 11.2965i) q^{45} +(21.6902 - 13.4303i) q^{46} +(-13.3190 - 15.8730i) q^{47} +(-13.9912 + 45.9156i) q^{48} +(7.91733 - 44.9014i) q^{49} +(18.1364 + 14.2897i) q^{50} +(11.9954 - 5.84843i) q^{51} +(-27.8177 - 8.22376i) q^{52} -77.1717 q^{53} +(27.2115 - 46.6426i) q^{54} -91.8834i q^{55} +(3.74748 - 14.2806i) q^{56} +(104.325 + 7.31023i) q^{57} +(44.0742 + 34.7261i) q^{58} +(-69.2241 - 12.2061i) q^{59} +(71.5431 - 12.0010i) q^{60} +(25.1234 - 21.0811i) q^{61} +(89.9694 - 55.7081i) q^{62} +(-7.80196 + 14.6631i) q^{63} +(-21.2666 + 60.3633i) q^{64} +(7.61269 + 43.1737i) q^{65} +(-67.5125 - 61.3088i) q^{66} +(25.3557 + 69.6641i) q^{67} +(16.3140 - 7.10394i) q^{68} +(-36.7864 + 10.5426i) q^{69} +(-21.8443 + 4.54972i) q^{70} +(81.7673 + 47.2083i) q^{71} +(38.9189 - 60.5749i) q^{72} +(-42.1159 - 72.9468i) q^{73} +(-3.59643 + 3.21167i) q^{74} +(-20.3535 - 28.0227i) q^{75} +(138.553 + 15.7109i) q^{76} +(21.4879 + 18.0305i) q^{77} +(36.8020 + 23.2139i) 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} +(-11.2325 + 19.0861i) q^{84} +(-20.6002 - 17.2856i) q^{85} +(30.9445 + 4.47828i) q^{86} +(-49.4620 - 68.0992i) q^{87} +(-86.4236 - 85.5350i) q^{88} +(55.7439 + 96.5512i) q^{89} +(-108.167 - 11.8484i) q^{90} +(-11.5905 - 6.69178i) q^{91} +(-49.6068 + 11.9377i) q^{92} +(-152.587 + 43.7299i) q^{93} +(15.3667 + 38.4871i) q^{94} +(-72.0767 - 198.029i) q^{95} +(55.3121 - 78.4638i) q^{96} +(-13.0319 - 73.9076i) q^{97} +(-43.1396 + 80.3384i) 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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