LMFDB - Embedded newform 108.3.j.a.7.5

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			7.5
Character	$\chi$	$=$	108.7
Dual form			108.3.j.a.31.5

$q$-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 $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$-1$

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	0.889460	+	0.457013i	$0.151081\pi$
$5$	1.04974	+	5.95339i	0.209949	+	1.19068i	−0.679512	+	0.733665i	$0.737808\pi$
$6$	−3.67389	+	4.74368i	−0.612315	+	0.790614i
$7$	1.18627	−	1.41374i	0.169467	−	0.201963i	−0.674626	−	0.738160i	$-0.735695\pi$
$7$	1.18627	−	1.41374i	0.169467	−	0.201963i	0.844093	+	0.536197i	$0.180139\pi$
$8$	−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	0.805925	−	0.592017i	$-0.201668\pi$
$11$	14.9684	+	2.63934i	1.36077	+	0.239940i	0.554840	+	0.831957i	$0.312779\pi$
$12$	4.01012	−	11.3101i	0.334176	−	0.942511i
$13$	−6.81461	−	2.48032i	−0.524201	−	0.190794i	0.0663462	−	0.997797i	$-0.478866\pi$
$13$	−6.81461	−	2.48032i	−0.524201	−	0.190794i	−0.590547	+	0.807003i	$0.701088\pi$
$14$	−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	0.923999	−	0.382395i	$-0.124901\pi$
$17$	2.22420	+	3.85243i	0.130835	+	0.226614i	−0.793163	+	0.609009i	$0.791567\pi$
$18$	−1.17689	+	17.9615i	−0.0653829	+	0.997860i
$19$	30.1899	+	17.4301i	1.58894	+	0.917376i	0.993482	+	0.113990i	$0.0363633\pi$
$19$	30.1899	+	17.4301i	1.58894	+	0.917376i	0.595459	+	0.803385i	$0.296970\pi$
$20$	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	0.557759	−	0.830003i	$-0.311661\pi$
$23$	−8.19924	−	9.77147i	−0.356489	−	0.424847i	−0.914247	+	0.405157i	$0.867217\pi$
$24$	−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	−0.753888	−	0.657003i	$-0.771824\pi$
$29$	−26.3635	+	9.59554i	−0.909087	+	0.330881i	−0.155199	+	0.987883i	$0.549602\pi$
$30$	−32.0976	−	16.8924i	−1.06992	−	0.563082i
$31$	−34.0099	−	40.5314i	−1.09709	−	1.30747i	−0.947868	−	0.318662i	$-0.896767\pi$
$31$	−34.0099	−	40.5314i	−1.09709	−	1.30747i	−0.149225	−	0.988803i	$-0.547678\pi$
$32$	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	0.881855	−	0.471520i	$-0.156295\pi$
$37$	1.20543	+	2.08787i	0.0325793	+	0.0564289i	−0.849276	+	0.527949i	$0.822961\pi$
$38$	−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	−0.260214	−	0.965551i	$-0.583793\pi$
$41$	−44.2880	−	16.1195i	−1.08019	−	0.393159i	−0.819980	+	0.572392i	$0.806015\pi$
$42$	2.34811	+	10.8212i	0.0559075	+	0.257648i
$43$	−15.3959	−	2.71472i	−0.358045	−	0.0631330i	−0.00826772	−	0.999966i	$-0.502632\pi$
$43$	−15.3959	−	2.71472i	−0.358045	−	0.0631330i	−0.349778	+	0.936833i	$0.613743\pi$
$44$	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	−0.888893	−	0.458115i	$-0.848525\pi$
$47$	−13.3190	+	15.8730i	−0.283383	+	0.337723i	0.605510	+	0.795838i	$0.292969\pi$
$48$	−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	−0.726121	−	0.687567i	$-0.758679\pi$
$59$	−69.2241	+	12.2061i	−1.17329	+	0.206883i	−0.447169	+	0.894450i	$0.647568\pi$
$60$	71.5431	+	12.0010i	1.19239	+	0.200017i
$61$	25.1234	+	21.0811i	0.411859	+	0.345591i	0.825056	−	0.565051i	$-0.191143\pi$
$61$	25.1234	+	21.0811i	0.411859	+	0.345591i	−0.413197	+	0.910642i	$0.635588\pi$
$62$	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	−0.593559	−	0.804790i	$-0.702278\pi$
$67$	25.3557	−	69.6641i	0.378443	−	1.03976i	0.972002	−	0.234973i	$-0.0755001\pi$
$68$	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	0.202362	−	0.979311i	$-0.435138\pi$
$71$	81.7673	−	47.2083i	1.15165	−	0.664906i	0.949289	+	0.314404i	$0.101805\pi$
$72$	38.9189	+	60.5749i	0.540540	+	0.841318i
$73$	−42.1159	+	72.9468i	−0.576930	+	0.999272i	0.418899	+	0.908033i	$0.362416\pi$
$73$	−42.1159	+	72.9468i	−0.576930	+	0.999272i	−0.995829	+	0.0912391i	$0.970917\pi$
$74$	−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	0.933458	−	0.358686i	$-0.116775\pi$
$79$	−0.961540	−	2.64181i	−0.0121714	−	0.0334406i	−0.945630	+	0.325246i	$0.894553\pi$
$80$	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	$-0.221641\pi$
$83$	−19.3208	−	53.0836i	−0.232781	−	0.639561i	−0.999998	+	0.00182621i	$0.999419\pi$
$84$	−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	−0.361945	−	0.932199i	$-0.617887\pi$
$89$	55.7439	−	96.5512i	0.626336	−	1.08485i	0.988281	−	0.152646i	$-0.0487794\pi$
$90$	−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	0.840961	+	0.541096i	$0.181990\pi$
$97$	−13.0319	+	73.9076i	−0.134350	+	0.761934i	−0.975310	+	0.220838i	$0.929121\pi$
$98$	−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	0.689367	−	0.724412i	$-0.257889\pi$
$101$	9.66252	+	8.10782i	0.0956685	+	0.0802754i	−0.593699	+	0.804687i	$0.702333\pi$
$102$	−26.4462	−	3.60251i	−0.259276	−	0.0353187i
$103$	−112.669	+	19.8667i	−1.09388	+	0.192880i	−0.691345	−	0.722525i	$-0.742981\pi$
$103$	−112.669	+	19.8667i	−1.09388	+	0.192880i	−0.402533	+	0.915405i	$0.631870\pi$
$104$	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	$-0.737667\pi$
$107$		−	157.069i		−	1.46793i	0.679186	−	0.733967i	$-0.262333\pi$
$108$	−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	0.991593	−	0.129398i	$-0.0413045\pi$
$113$	1.75642	+	9.96117i	0.0155436	+	0.0881520i	−0.976049	+	0.217550i	$0.930193\pi$
$114$	−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	0.843629	−	0.536926i	$-0.180415\pi$
$127$	101.657	+	58.6920i	0.800453	+	0.462141i	−0.0431768	+	0.999067i	$0.513748\pi$
$128$	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	0.988658	+	0.150187i	$0.0479875\pi$
$131$	126.400	+	150.637i	0.964884	+	1.14990i	−0.0237735	+	0.999717i	$0.507568\pi$
$132$	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	−0.642596	−	0.766206i	$-0.722142\pi$
$137$	−88.0013	+	32.0298i	−0.642345	+	0.233794i	0.000250601		1.00000i	$0.499920\pi$
$138$	76.4759	−	2.99525i	0.554173	−	0.0217047i
$139$	−60.8206	−	72.4832i	−0.437558	−	0.521462i	0.501529	−	0.865141i	$-0.332771\pi$
$139$	−60.8206	−	72.4832i	−0.437558	−	0.521462i	−0.939087	+	0.343679i	$0.888327\pi$
$140$	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	0.549169	−	0.835711i	$-0.314944\pi$
$149$	64.4681	+	23.4645i	0.432672	+	0.157480i	−0.116497	+	0.993191i	$0.537167\pi$
$150$	21.1257	−	65.9685i	0.140838	−	0.439790i
$151$	160.992	+	28.3872i	1.06617	+	0.187995i	0.679093	−	0.734052i	$-0.262373\pi$
$151$	160.992	+	28.3872i	1.06617	+	0.187995i	0.387078	+	0.922047i	$0.373484\pi$
$152$	−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	−0.635518	−	0.772086i	$-0.719213\pi$
$157$	−47.4761	−	269.250i	−0.302395	−	1.71497i	0.333122	−	0.942884i	$-0.391898\pi$
$158$	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	$-0.982767\pi$
$163$		−	17.6410i		−	0.108227i	0.998535	−	0.0541135i	$-0.0172333\pi$
$164$	−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	−0.384527	−	0.923114i	$-0.625636\pi$
$167$	−71.8336	+	12.6662i	−0.430141	+	0.0758455i	−0.0456140	+	0.998959i	$0.514524\pi$
$168$	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	−0.730434	−	0.682983i	$-0.760682\pi$
$173$	32.7910	−	185.967i	0.189544	−	1.07495i	0.919977	−	0.391971i	$-0.128207\pi$
$174$	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	−0.696832	−	0.717235i	$-0.745407\pi$
$179$	−75.9146	+	43.8293i	−0.424104	+	0.244856i	0.272728	+	0.962091i	$0.412074\pi$
$180$	198.056	−	90.1998i	1.10031	−	0.501110i
$181$	−27.2674	+	47.2286i	−0.150649	+	0.260931i	−0.931466	−	0.363828i	$-0.881470\pi$
$181$	−27.2674	+	47.2286i	−0.150649	+	0.260931i	0.780817	+	0.624759i	$0.214803\pi$
$182$	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	0.869569	+	0.493812i	$0.164397\pi$
$191$	99.4836	+	273.329i	0.520857	+	1.43104i	−0.348712	+	0.937230i	$0.613381\pi$
$192$	−154.173	−	114.432i	−0.802985	−	0.595999i
$193$	−226.587	+	190.129i	−1.17402	+	0.985123i	−0.174024	+	0.984741i	$0.555677\pi$
$193$	−226.587	+	190.129i	−1.17402	+	0.985123i	−1.00000		0.000381565i	$0.999879\pi$
$194$	−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	−0.930948	−	0.365152i	$-0.881017\pi$
$197$	−29.4010	+	50.9239i	−0.149243	+	0.258497i	0.781705	+	0.623649i	$0.214350\pi$
$198$	−65.0226	+	265.749i	−0.328397	+	1.34217i
$199$	−120.558	+	69.6042i	−0.605819	+	0.349770i	−0.771328	−	0.636438i	$-0.780407\pi$
$199$	−120.558	+	69.6042i	−0.605819	+	0.349770i	0.165508	+	0.986208i	$0.447074\pi$
$200$	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	−0.0218570	−	0.999761i	$-0.506958\pi$
$211$	63.2035	−	11.1445i	0.299543	−	0.0528174i	0.321400	+	0.946944i	$0.395847\pi$
$212$	−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	−0.667293	−	0.744795i	$-0.732547\pi$
$223$	40.5997	−	48.3849i	0.182062	−	0.216973i	0.849354	+	0.527823i	$0.176992\pi$
$224$	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	0.642058	−	0.766656i	$-0.278081\pi$
$227$	223.183	+	39.3532i	0.983184	+	0.173362i	0.341126	+	0.940018i	$0.389192\pi$
$228$	318.202	−	271.555i	1.39562	−	1.19103i
$229$	200.458	+	72.9608i	0.875363	+	0.318606i	0.740337	−	0.672236i	$-0.234666\pi$
$229$	200.458	+	72.9608i	0.875363	+	0.318606i	0.135026	+	0.990842i	$0.456888\pi$
$230$	−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	0.998893	−	0.0470483i	$-0.0149815\pi$
$233$	106.877	+	185.117i	0.458701	+	0.794494i	−0.540191	+	0.841542i	$0.681648\pi$
$234$	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	0.190066	−	0.981771i	$-0.439130\pi$
$239$	−193.541	−	230.653i	−0.809795	−	0.965076i	−0.999861	+	0.0166953i	$0.994685\pi$
$240$	258.666	−	131.495i	1.07778	−	0.547895i
$241$	−132.174	+	48.1075i	−0.548441	+	0.199616i	−0.601354	−	0.798983i	$-0.705372\pi$
$241$	−132.174	+	48.1075i	−0.548441	+	0.199616i	0.0529129	+	0.998599i	$0.483149\pi$
$242$	−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	−0.0349254	−	0.999390i	$-0.511119\pi$
$251$	−230.389	−	133.015i	−0.917885	−	0.529941i	−0.882960	+	0.469449i	$0.844453\pi$
$252$	−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	0.871822	−	0.489823i	$-0.162938\pi$
$257$	314.780	+	114.571i	1.22482	+	0.445800i	0.353003	+	0.935622i	$0.385161\pi$
$258$	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	−0.958834	−	0.283969i	$-0.908349\pi$
$263$	−134.835	+	160.690i	−0.512679	+	0.610987i	0.446154	+	0.894956i	$0.352793\pi$
$264$	−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	$0.292825\pi$
$271$			431.195i			1.59113i	−0.605870	+	0.795563i	$0.707175\pi$
$272$	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	0.686496	−	0.727134i	$-0.259148\pi$
$277$	24.8240	+	20.8298i	0.0896175	+	0.0751980i	−0.596878	+	0.802332i	$0.703592\pi$
$278$	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	−0.918225	−	0.396060i	$-0.870377\pi$
$281$	22.5038	−	127.625i	0.0800847	−	0.454183i	0.998309	−	0.0581231i	$-0.0185116\pi$
$282$	−26.3638	−	121.497i	−0.0934886	−	0.430840i
$283$	−30.9916	+	85.1487i	−0.109511	+	0.300879i	−0.982328	−	0.187169i	$-0.940069\pi$
$283$	−30.9916	+	85.1487i	−0.109511	+	0.300879i	0.872817	+	0.488048i	$0.162291\pi$
$284$	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	−0.915238	−	0.402913i	$-0.867998\pi$
$293$	−198.471	+	166.537i	−0.677376	+	0.568386i	0.237862	+	0.971299i	$0.423553\pi$
$294$	−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	−0.716061	−	0.698038i	$-0.754057\pi$
$307$	−144.159	+	83.2302i	−0.469573	+	0.271108i	0.246488	+	0.969146i	$0.420723\pi$
$308$	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	−0.579749	−	0.814795i	$-0.696849\pi$
$311$	120.701	−	331.622i	0.388105	−	1.06631i	0.967854	−	0.251514i	$-0.0809285\pi$
$312$	63.1883	−	162.172i	0.202527	−	0.519781i
$313$	−17.1825	+	97.4466i	−0.0548961	+	0.311331i	−0.999875	−	0.0157996i	$-0.994971\pi$
$313$	−17.1825	+	97.4466i	−0.0548961	+	0.311331i	0.944979	+	0.327131i	$0.106082\pi$
$314$	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	0.452775	−	0.891625i	$-0.350434\pi$
$317$	−109.898	−	92.2151i	−0.346681	−	0.290899i	−0.799455	+	0.600725i	$0.794879\pi$
$318$	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	0.109121	−	0.994028i	$-0.465196\pi$
$331$	353.872	−	421.728i	1.06910	−	1.27410i	0.959978	−	0.280075i	$-0.0903592\pi$
$332$	−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	0.630923	−	0.775845i	$-0.282676\pi$
$337$	207.435	+	75.5002i	0.615534	+	0.224036i	−0.0153886	+	0.999882i	$0.504899\pi$
$338$	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	0.771476	−	0.636258i	$-0.219519\pi$
$347$	3.78870	+	4.51520i	0.0109184	+	0.0130121i	−0.760558	+	0.649270i	$0.775074\pi$
$348$	2.80595	+	336.654i	0.00806307	+	0.967397i
$349$	101.678	−	37.0077i	0.291341	−	0.106039i	−0.192215	−	0.981353i	$-0.561567\pi$
$349$	101.678	−	37.0077i	0.291341	−	0.106039i	0.483556	+	0.875313i	$0.339345\pi$
$350$	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	−0.200399	−	0.979714i	$-0.564224\pi$
$353$	97.3695	−	35.4396i	0.275834	−	0.100395i	0.476233	+	0.879319i	$0.342002\pi$
$354$	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	0.562217	−	0.826990i	$-0.309949\pi$
$359$	45.6398	+	26.3501i	0.127130	+	0.0733987i	−0.435086	+	0.900389i	$0.643282\pi$
$360$	−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	0.823827	−	0.566841i	$-0.191835\pi$
$367$	515.305	+	90.8621i	1.40410	+	0.247581i	0.580273	+	0.814422i	$0.302946\pi$
$368$	−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	0.975994	+	0.217798i	$0.0698875\pi$
$373$	49.7399	+	282.089i	0.133351	+	0.756271i	−0.842643	+	0.538473i	$0.819001\pi$
$374$	−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	$-0.851310\pi$
$379$		−	341.343i		−	0.900640i	0.892867	−	0.450320i	$-0.148690\pi$
$380$	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	0.373002	−	0.927831i	$-0.378329\pi$
$383$	398.644	−	70.2917i	1.04085	−	0.183529i	0.667844	+	0.744301i	$0.267217\pi$
$384$	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	−0.831834	−	0.555025i	$-0.812709\pi$
$389$	54.3292	−	308.116i	0.139664	−	0.792073i	0.971498	−	0.237049i	$-0.0761801\pi$
$390$	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	−0.917031	−	0.398816i	$-0.869421\pi$
$397$	−44.9130	+	77.7916i	−0.113131	+	0.195949i	0.803900	+	0.594764i	$0.202755\pi$
$398$	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	−0.0988896	−	0.995098i	$-0.531529\pi$
$401$	346.432	−	290.691i	0.863919	−	0.724914i	0.962809	+	0.270184i	$0.0870846\pi$
$402$	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	−0.996787	−	0.0800985i	$-0.974477\pi$
$409$	−446.217	+	374.421i	−1.09100	+	0.915454i	−0.0942086	+	0.995552i	$0.530032\pi$
$410$	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	−0.938197	−	0.346103i	$-0.887505\pi$
$419$	1.24630	−	3.42418i	0.00297447	−	0.00817228i	0.941171	+	0.337931i	$0.109727\pi$
$420$	101.836	−	86.9071i	0.242466	−	0.206922i
$421$	−99.6390	+	565.081i	−0.236672	+	1.34223i	0.602391	+	0.798201i	$0.294215\pi$
$421$	−99.6390	+	565.081i	−0.236672	+	1.34223i	−0.839063	+	0.544034i	$0.816896\pi$
$422$	−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	$-0.919274\pi$
$431$		−	216.274i		−	0.501796i	0.968013	−	0.250898i	$-0.0807259\pi$
$432$	−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	−0.972941	−	0.231055i	$-0.925782\pi$
$439$	−253.060	+	301.585i	−0.576446	+	0.686982i	0.396494	+	0.918037i	$0.370227\pi$
$440$	−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	−0.384300	−	0.923208i	$-0.625557\pi$
$443$	−470.103	−	82.8918i	−1.06118	−	0.187115i	−0.676880	+	0.736093i	$0.736668\pi$
$444$	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	0.905955	−	0.423374i	$-0.139154\pi$
$449$	38.7598	+	67.1339i	0.0863247	+	0.149519i	−0.819630	+	0.572893i	$0.805821\pi$
$450$	−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	−0.228830	−	0.973466i	$-0.573490\pi$
$457$	101.275	−	36.8611i	0.221608	−	0.0806589i	0.450438	+	0.892808i	$0.351268\pi$
$458$	−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	−0.812189	−	0.583395i	$-0.801724\pi$
$461$	−488.366	+	177.751i	−1.05936	+	0.385577i	−0.247174	+	0.968971i	$0.579502\pi$
$462$	6.58671	+	168.174i	0.0142569	+	0.364013i
$463$	−41.3504	−	49.2795i	−0.0893097	−	0.106435i	0.719539	−	0.694452i	$-0.244353\pi$
$463$	−41.3504	−	49.2795i	−0.0893097	−	0.106435i	−0.808849	+	0.588017i	$0.799909\pi$
$464$	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	0.829641	−	0.558297i	$-0.188545\pi$
$467$	355.370	+	205.173i	0.760963	+	0.439342i	−0.0686786	+	0.997639i	$0.521878\pi$
$468$	−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	−0.984584	−	0.174915i	$-0.944035\pi$
$479$	−307.209	+	366.118i	−0.641355	+	0.764337i	0.343228	+	0.939252i	$0.388479\pi$
$480$	−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	$-0.719074\pi$
$487$		−	752.283i		−	1.54473i	0.635180	−	0.772365i	$-0.280926\pi$
$488$	−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	−0.136087	−	0.990697i	$-0.543453\pi$
$491$	36.7623	−	6.48218i	0.0748723	−	0.0132020i	0.210959	+	0.977495i	$0.432341\pi$
$492$	−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	0.465442	+	0.885078i	$0.345895\pi$
$499$	−229.552	+	630.690i	−0.460024	+	1.26391i	−0.925467	+	0.378829i	$0.876327\pi$
$500$	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	−0.595544	−	0.803323i	$-0.703063\pi$
$503$	−99.4014	+	57.3894i	−0.197617	+	0.114094i	0.397926	+	0.917417i	$0.369730\pi$
$504$	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	−0.777699	−	0.628636i	$-0.783613\pi$
$509$	−149.473	+	125.422i	−0.293659	+	0.246410i	0.484040	+	0.875046i	$0.339169\pi$
$510$	−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	−0.935464	−	0.353421i	$-0.885018\pi$
$521$	−84.2253	+	145.882i	−0.161661	+	0.280005i	0.773804	+	0.633426i	$0.218352\pi$
$522$	−141.323	−	484.821i	−0.270734	−	0.928776i
$523$	−131.568	+	75.9606i	−0.251563	+	0.145240i	−0.620480	−	0.784222i	$-0.713062\pi$
$523$	−131.568	+	75.9606i	−0.251563	+	0.145240i	0.368917	+	0.929462i	$0.379729\pi$
$524$	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	−0.998783	−	0.0493105i	$-0.984298\pi$
$547$	−424.901	+	506.378i	−0.776785	+	0.925737i	0.221998	+	0.975047i	$0.428742\pi$
$548$	−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	0.862575	−	0.505929i	$-0.168850\pi$
$557$	−3.82123	−	6.61856i	−0.00686037	−	0.0118825i	−0.869435	+	0.494047i	$0.835517\pi$
$558$	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	0.944263	−	0.329192i	$-0.106776\pi$
$563$	256.786	+	306.025i	0.456103	+	0.543562i	−0.488160	+	0.872754i	$0.662332\pi$
$564$	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	−0.562369	−	0.826887i	$-0.690110\pi$
$569$	−262.682	+	95.6085i	−0.461656	+	0.168029i	0.100713	+	0.994916i	$0.467888\pi$
$570$	−674.585	−	1069.45i	−1.18348	−	1.87622i
$571$	221.416	+	263.873i	0.387768	+	0.462124i	0.924250	−	0.381788i	$-0.124691\pi$
$571$	221.416	+	263.873i	0.387768	+	0.462124i	−0.536482	+	0.843912i	$0.680247\pi$
$572$	−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	0.969483	−	0.245158i	$-0.0788397\pi$
$577$	157.192	+	272.264i	0.272429	+	0.471861i	−0.697054	+	0.717018i	$0.745506\pi$
$578$	−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	−0.141717	−	0.989907i	$-0.545262\pi$
$587$	503.505	−	600.054i	0.857761	−	1.02224i	0.999477	−	0.0323320i	$-0.0102934\pi$
$588$	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	0.156937	−	0.987609i	$-0.449838\pi$
$599$	384.673	−	67.8282i	0.642192	−	0.113236i	0.485255	+	0.874373i	$0.338727\pi$
$600$	−88.8894	−	262.429i	−0.148149	−	0.437381i
$601$	65.4818	+	54.9458i	0.108955	+	0.0914239i	0.695638	−	0.718393i	$-0.255122\pi$
$601$	65.4818	+	54.9458i	0.108955	+	0.0914239i	−0.586683	+	0.809817i	$0.699566\pi$
$602$	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	−0.482858	−	0.875699i	$-0.660401\pi$
$607$	273.102	−	750.341i	0.449921	−	1.23615i	0.932779	−	0.360449i	$-0.117376\pi$
$608$	−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	−0.343056	−	0.939315i	$-0.611462\pi$
$613$	393.511	−	681.581i	0.641943	−	1.11188i	0.984999	−	0.172563i	$-0.0552047\pi$
$614$	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	−0.627090	−	0.778947i	$-0.715754\pi$
$617$	19.2072	−	16.1168i	0.0311300	−	0.0261212i	0.658220	+	0.752826i	$0.271310\pi$
$618$	319.694	−	607.456i	0.517304	−	0.982938i
$619$	−10.7828	−	29.6256i	−0.0174198	−	0.0478604i	0.930678	−	0.365839i	$-0.119218\pi$
$619$	−10.7828	−	29.6256i	−0.0174198	−	0.0478604i	−0.948098	+	0.317979i	$0.896996\pi$
$620$	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	0.0933456	−	0.995634i	$-0.470244\pi$
$631$	632.428	−	365.132i	1.00226	−	0.578657i	0.908917	+	0.416977i	$0.136911\pi$
$632$	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	0.128192	−	0.991749i	$-0.459083\pi$
$641$	−529.614	−	444.399i	−0.826230	−	0.693290i	−0.954422	+	0.298460i	$0.903527\pi$
$642$	745.085	+	577.054i	1.16057	+	0.898838i
$643$	584.297	−	103.027i	0.908704	−	0.160229i	0.300289	−	0.953848i	$-0.402917\pi$
$643$	584.297	−	103.027i	0.908704	−	0.160229i	0.608415	+	0.793619i	$0.291806\pi$
$644$	−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	$0.0393266\pi$
$647$			159.465i			0.246468i	−0.992378	+	0.123234i	$0.960673\pi$
$648$	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	0.974856	−	0.222836i	$-0.0715316\pi$
$653$	−11.3776	−	64.5255i	−0.0174236	−	0.0988139i	−0.992279	+	0.124023i	$0.960420\pi$
$654$	−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	−0.477658	−	0.878546i	$-0.658514\pi$
$659$	−808.587	−	142.576i	−1.22699	−	0.216352i	−0.749332	+	0.662194i	$0.769625\pi$
$660$	1039.21	+	368.463i	1.57457	+	0.558278i
$661$	851.333	+	309.860i	1.28795	+	0.468774i	0.893053	−	0.449952i	$-0.148559\pi$
$661$	851.333	+	309.860i	1.28795	+	0.468774i	0.394894	+	0.918727i	$0.370781\pi$
$662$	−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	−0.884435	−	0.466663i	$-0.845456\pi$
$673$	−849.317	+	309.126i	−1.26199	+	0.459325i	−0.377551	+	0.925989i	$0.623234\pi$
$674$	−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	0.554694	−	0.832055i	$-0.312835\pi$
$677$	1025.28	−	373.172i	1.51445	−	0.551214i	0.959754	+	0.280840i	$0.0906132\pi$
$678$	−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	0.845752	−	0.533576i	$-0.179152\pi$
$683$	550.865	+	318.042i	0.806538	+	0.465655i	−0.0392143	+	0.999231i	$0.512485\pi$
$684$	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	−0.313853	−	0.949472i	$-0.601620\pi$
$691$	−645.060	−	113.741i	−0.933516	−	0.164604i	−0.619663	+	0.784868i	$0.712731\pi$
$692$	−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	0.735664	−	0.677347i	$-0.236870\pi$
$709$	139.215	+	116.815i	0.196353	+	0.164760i	−0.539310	+	0.842107i	$0.681315\pi$
$710$	−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	−0.551143	−	0.834411i	$-0.685808\pi$
$719$	−74.8435	+	43.2109i	−0.104094	+	0.0600987i	0.447049	+	0.894509i	$0.352475\pi$
$720$	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	0.993538	−	0.113497i	$-0.0362051\pi$
$727$	115.949	+	318.567i	0.159490	+	0.438194i	−0.834049	+	0.551691i	$0.813983\pi$
$728$	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	−0.828110	−	0.560565i	$-0.810584\pi$
$733$	−307.759	+	258.240i	−0.419862	+	0.352306i	0.408249	+	0.912871i	$0.366140\pi$
$734$	−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	−0.145286	−	0.989390i	$-0.546410\pi$
$739$	472.153	−	272.598i	0.638908	−	0.368874i	0.784194	+	0.620516i	$0.213077\pi$
$740$	−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	−0.0491289	−	0.998792i	$-0.515645\pi$
$743$	468.474	−	1287.12i	0.630517	−	1.73233i	0.679646	−	0.733540i	$-0.262133\pi$
$744$	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	−0.365103	−	0.930967i	$-0.618966\pi$
$751$	−292.724	+	51.6151i	−0.389779	+	0.0687285i	−0.0246753	+	0.999696i	$0.507855\pi$
$752$	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	−0.954710	−	0.297537i	$-0.903835\pi$
$761$	−121.257	−	687.685i	−0.159340	−	0.903660i	0.795371	−	0.606123i	$-0.207276\pi$
$762$	−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	0.682121	−	0.731239i	$-0.261058\pi$
$769$	564.926	+	205.616i	0.734624	+	0.267381i	0.0525034	+	0.998621i	$0.483280\pi$
$770$	−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	0.956840	+	0.290614i	$0.0938595\pi$
$773$	564.367	+	977.512i	0.730099	+	1.26457i	−0.226741	+	0.973955i	$0.572807\pi$
$774$	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	0.897174	−	0.441678i	$-0.145617\pi$
$787$	241.147	+	287.388i	0.306414	+	0.365169i	−0.590760	+	0.806847i	$0.701172\pi$
$788$	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	0.684631	−	0.728890i	$-0.259963\pi$
$797$	590.232	+	214.827i	0.740567	+	0.269544i	0.0559363	+	0.998434i	$0.482186\pi$
$798$	−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	$0.0710577\pi$
$811$			359.086i			0.442770i	−0.975187	+	0.221385i	$0.928942\pi$
$812$	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	−0.992510	−	0.122164i	$-0.961017\pi$
$821$	−14.8381	+	84.1513i	−0.0180733	+	0.102499i	0.974437	+	0.224662i	$0.0721279\pi$
$822$	171.368	−	535.124i	0.208477	−	0.651003i
$823$	191.591	−	526.392i	0.232796	−	0.639601i	−0.767203	−	0.641405i	$-0.778352\pi$
$823$	191.591	−	526.392i	0.232796	−	0.639601i	0.999998	+	0.00180367i	$0.000574126\pi$
$824$	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	0.00239586	−	0.999997i	$-0.499237\pi$
$827$	719.173	−	415.215i	0.869617	−	0.502073i	0.867221	+	0.497924i	$0.165904\pi$
$828$	−266.756	+	373.781i	−0.322169	+	0.451427i
$829$	−389.464	+	674.571i	−0.469799	+	0.813716i	−0.999404	−	0.0345285i	$-0.989007\pi$
$829$	−389.464	+	674.571i	−0.469799	+	0.813716i	0.529604	+	0.848245i	$0.322340\pi$
$830$	−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	0.915160	−	0.403092i	$-0.132064\pi$
$839$	−37.7515	−	103.721i	−0.0449958	−	0.123625i	−0.960155	+	0.279467i	$0.909842\pi$
$840$	−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	−0.435808	−	0.900040i	$-0.643537\pi$
$853$	240.162	−	1362.02i	0.281549	−	1.59675i	0.717357	−	0.696706i	$-0.245352\pi$
$854$	−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	0.860000	−	0.510294i	$-0.170463\pi$
$857$	434.325	+	364.442i	0.506796	+	0.425253i	−0.353204	+	0.935546i	$0.614908\pi$
$858$	612.137	−	250.343i	0.713446	−	0.291775i
$859$	−920.969	+	162.392i	−1.07214	+	0.189047i	−0.681738	−	0.731597i	$-0.738775\pi$
$859$	−920.969	+	162.392i	−1.07214	+	0.189047i	−0.390403	+	0.920644i	$0.627664\pi$
$860$	−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	$-0.926514\pi$
$863$		−	394.937i		−	0.457633i	0.973470	−	0.228817i	$-0.0734856\pi$
$864$	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	0.270497	−	0.962721i	$-0.412812\pi$
$877$	−123.759	−	45.0445i	−0.141116	−	0.0513621i	−0.411613	+	0.911359i	$0.635034\pi$
$878$	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	0.814013	−	0.580846i	$-0.197278\pi$
$881$	−84.5946	−	146.522i	−0.0960211	−	0.166313i	−0.910034	+	0.414533i	$0.863945\pi$
$882$	−815.814	+	89.3629i	−0.924959	+	0.101318i
$883$	−470.009	−	271.360i	−0.532287	−	0.307316i	0.209660	−	0.977774i	$-0.432764\pi$
$883$	−470.009	−	271.360i	−0.532287	−	0.307316i	−0.741947	+	0.670458i	$0.766098\pi$
$884$	−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	0.997034	−	0.0769612i	$-0.0245218\pi$
$887$	663.573	+	790.815i	0.748109	+	0.891561i	−0.248925	+	0.968523i	$0.580077\pi$
$888$	−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	0.943545	−	0.331245i	$-0.107469\pi$
$907$	1557.22	+	274.580i	1.71689	+	0.302735i	0.773349	+	0.633980i	$0.218580\pi$
$908$	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	−0.174788	+	0.984606i	$0.555924\pi$
$911$	−1014.93	+	1209.55i	−1.11408	+	1.32771i	−0.939296	+	0.343108i	$0.888520\pi$
$912$	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	$-0.783245\pi$
$919$		−	1157.09i		−	1.25907i	0.776971	−	0.629536i	$-0.216755\pi$
$920$	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	0.908535	+	0.417808i	$0.137201\pi$
$929$	−81.8517	+	464.204i	−0.0881073	+	0.499681i	−0.996643	+	0.0818735i	$0.973910\pi$
$930$	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	0.0724733	−	0.997370i	$-0.476911\pi$
$937$	843.286	−	1460.61i	0.899985	−	1.55882i	0.827511	−	0.561449i	$-0.189756\pi$
$938$	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	−0.945962	−	0.324277i	$-0.894879\pi$
$941$	−744.214	+	624.470i	−0.790876	+	0.663624i	0.155086	+	0.987901i	$0.450434\pi$
$942$	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	0.847337	−	0.531056i	$-0.178204\pi$
$947$	−135.532	−	372.370i	−0.143117	−	0.393210i	−0.990454	+	0.137846i	$0.955982\pi$
$948$	−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	−0.982209	−	0.187791i	$-0.939867\pi$
$953$	−313.035	+	542.192i	−0.328473	+	0.568932i	0.653736	+	0.756723i	$0.273201\pi$
$954$	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	−0.0341801	−	0.999416i	$-0.510882\pi$
$967$	266.429	−	46.9787i	0.275521	−	0.0485819i	0.309702	+	0.950834i	$0.399771\pi$
$968$	−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	$-0.758775\pi$
$971$		−	1334.83i		−	1.37469i	0.726330	−	0.687346i	$-0.241225\pi$
$972$	−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	0.985193	−	0.171448i	$-0.0548446\pi$
$977$	0.757884	+	4.29817i	0.000775726	+	0.00439936i	−0.984417	+	0.175847i	$0.943733\pi$
$978$	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	0.0560376	−	0.998429i	$-0.482153\pi$
$983$	−228.830	−	40.3488i	−0.232787	−	0.0410466i	−0.288825	+	0.957382i	$0.593264\pi$
$984$	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	0.353619	−	0.935390i	$-0.384951\pi$
$991$	−277.126	−	159.999i	−0.279643	−	0.161452i	−0.633262	+	0.773938i	$0.718284\pi$
$992$	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	−0.838874	−	0.544325i	$-0.816786\pi$
$997$	−1128.21	+	410.635i	−1.13160	+	0.411870i	−0.292730	+	0.956195i	$0.594564\pi$
$998$	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.7.5	✓	204
3.2	odd	2		324.3.j.a.19.30		204
4.3	odd	2	inner	108.3.j.a.7.6	yes	204
12.11	even	2		324.3.j.a.19.29		204
27.4	even	9	inner	108.3.j.a.31.6	yes	204
27.23	odd	18		324.3.j.a.307.29		204
108.23	even	18		324.3.j.a.307.30		204
108.31	odd	18	inner	108.3.j.a.31.5	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.5	✓	204	1.1	even	1	trivial
108.3.j.a.7.6	yes	204	4.3	odd	2	inner
108.3.j.a.31.5	yes	204	108.31	odd	18	inner
108.3.j.a.31.6	yes	204	27.4	even	9	inner
324.3.j.a.19.29		204	12.11	even	2
324.3.j.a.19.30		204	3.2	odd	2
324.3.j.a.307.29		204	27.23	odd	18
324.3.j.a.307.30		204	108.23	even	18

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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