LMFDB - Embedded newform 429.2.bj.b.73.13

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [429,2,Mod(73,429)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(429, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 14, 5]))

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

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

chi := DirichletCharacter("429.73");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 429 = 3 \cdot 11 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	429.bj (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$3.42558224671$
Analytic rank:	$0$
Dimension:	$112$
Relative dimension:	$14$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			73.13
Character	$\chi$	$=$	429.73
Dual form			429.2.bj.b.382.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(2.30315 - 0.364783i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.26933 - 1.06227i) q^{4} +(0.468964 + 0.0742767i) q^{5} +(-0.364783 + 2.30315i) q^{6} +(-1.08156 + 2.12269i) q^{7} +(2.98686 - 1.52188i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})$	\(q+(2.30315 - 0.364783i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.26933 - 1.06227i) q^{4} +(0.468964 + 0.0742767i) q^{5} +(-0.364783 + 2.30315i) q^{6} +(-1.08156 + 2.12269i) q^{7} +(2.98686 - 1.52188i) q^{8} +(-0.809017 - 0.587785i) q^{9} +1.10719 q^{10} +(3.28774 + 0.436760i) q^{11} +3.43758i q^{12} +(3.57155 + 0.493972i) q^{13} +(-1.71668 + 5.28341i) q^{14} +(-0.215559 + 0.423059i) q^{15} +(0.761915 - 0.553563i) q^{16} +(1.74532 - 1.26805i) q^{17} +(-2.07770 - 1.05864i) q^{18} +(-2.83140 - 5.55693i) q^{19} +(1.61210 - 0.255332i) q^{20} +(-1.68457 - 1.68457i) q^{21} +(7.73149 - 0.193388i) q^{22} -3.72046i q^{23} +(0.524404 + 3.31096i) q^{24} +(-4.54087 - 1.47542i) q^{25} +(8.40602 - 0.165151i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-1.28112 + 8.08868i) q^{28} +(-8.85101 + 2.87587i) q^{29} +(-0.342141 + 1.05300i) q^{30} +(0.196316 + 1.23949i) q^{31} +(-3.18789 + 3.18789i) q^{32} +(-1.43135 + 2.99186i) q^{33} +(3.55718 - 3.55718i) q^{34} +(-0.664881 + 0.915130i) q^{35} +(-3.26933 - 1.06227i) q^{36} +(-8.12781 - 4.14132i) q^{37} +(-8.54821 - 11.7656i) q^{38} +(-1.57347 + 3.24410i) q^{39} +(1.51377 - 0.491854i) q^{40} +(-0.835426 - 1.63961i) q^{41} +(-4.49434 - 3.26533i) q^{42} +10.0537 q^{43} +(11.2127 - 2.06455i) q^{44} +(-0.335741 - 0.335741i) q^{45} +(-1.35716 - 8.56879i) q^{46} +(0.154828 + 0.303866i) q^{47} +(0.291026 + 0.895684i) q^{48} +(0.778474 + 1.07148i) q^{49} +(-10.9965 - 1.74168i) q^{50} +(0.666653 + 2.05175i) q^{51} +(12.2013 - 2.17900i) q^{52} +(1.38996 + 1.00986i) q^{53} +(1.64887 - 1.64887i) q^{54} +(1.50939 + 0.449027i) q^{55} +7.98617i q^{56} +(6.15990 - 0.975633i) q^{57} +(-19.3362 + 9.85227i) q^{58} +(-0.158049 - 0.0805298i) q^{59} +(-0.255332 + 1.61210i) q^{60} +(-7.50558 - 10.3305i) q^{61} +(0.904292 + 2.78312i) q^{62} +(2.12269 - 1.08156i) q^{63} +(-7.28644 + 10.0289i) q^{64} +(1.63824 + 0.496938i) q^{65} +(-2.20524 + 7.41284i) q^{66} +(6.41964 + 6.41964i) q^{67} +(4.35902 - 5.99967i) q^{68} +(3.53837 + 1.14969i) q^{69} +(-1.19750 + 2.35022i) q^{70} +(9.92387 + 1.57179i) q^{71} +(-3.31096 - 0.524404i) q^{72} +(3.07091 - 6.02700i) q^{73} +(-20.2303 - 6.57321i) q^{74} +(2.80641 - 3.86270i) q^{75} +(-15.1597 - 15.1597i) q^{76} +(-4.48301 + 6.50646i) q^{77} +(-2.44054 + 8.04564i) q^{78} +(-4.41008 + 6.06996i) q^{79} +(0.398428 - 0.203009i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-2.52222 - 3.47153i) q^{82} +(-1.10169 + 6.95581i) q^{83} +(-7.29690 - 3.71796i) q^{84} +(0.912680 - 0.465034i) q^{85} +(23.1552 - 3.66743i) q^{86} -9.30651i q^{87} +(10.4847 - 3.69901i) q^{88} +(-2.17136 + 2.17136i) q^{89} +(-0.895736 - 0.650791i) q^{90} +(-4.91141 + 7.04703i) q^{91} +(-3.95214 - 12.1634i) q^{92} +(-1.23949 - 0.196316i) q^{93} +(0.467437 + 0.643372i) q^{94} +(-0.915074 - 2.81631i) q^{95} +(-2.04675 - 4.01698i) q^{96} +(-2.10528 - 13.2922i) q^{97} +(2.18380 + 2.18380i) q^{98} +(-2.40312 - 2.28583i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	$ 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) $ 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/429\mathbb{Z}\right)^\times$.

$n$	$67$	$79$	$287$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{7}{10}\right)$	$1$

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 $

$2$	2.30315	−	0.364783i	1.62857	−	0.257941i	0.725753	−	0.687956i	$-0.241492\pi$
$2$	2.30315	−	0.364783i	1.62857	−	0.257941i	0.902822	+	0.430015i	$0.141492\pi$
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$3$	−0.309017	+	0.951057i	−0.178411	+	0.549093i
$4$	3.26933	−	1.06227i	1.63466	−	0.531135i
$5$	0.468964	+	0.0742767i	0.209727	+	0.0332175i	0.260414	−	0.965497i	$-0.416141\pi$
$5$	0.468964	+	0.0742767i	0.209727	+	0.0332175i	−0.0506867	+	0.998715i	$0.516141\pi$
$6$	−0.364783	+	2.30315i	−0.148922	+	0.940258i
$7$	−1.08156	+	2.12269i	−0.408792	+	0.802300i	−0.999991	−	0.00422560i	$-0.998655\pi$
$7$	−1.08156	+	2.12269i	−0.408792	+	0.802300i	0.591199	+	0.806526i	$0.298655\pi$
$8$	2.98686	−	1.52188i	1.05601	−	0.538066i
$9$	−0.809017	−	0.587785i	−0.269672	−	0.195928i
$10$	1.10719			0.350125
$11$	3.28774	+	0.436760i	0.991291	+	0.131688i
$11$	3.28774	+	0.436760i	0.991291	+	0.131688i
$12$			3.43758i			0.992343i
$13$	3.57155	+	0.493972i	0.990571	+	0.137003i
$13$	3.57155	+	0.493972i	0.990571	+	0.137003i
$14$	−1.71668	+	5.28341i	−0.458803	+	1.41205i
$15$	−0.215559	+	0.423059i	−0.0556572	+	0.109233i
$16$	0.761915	−	0.553563i	0.190479	−	0.138391i
$17$	1.74532	−	1.26805i	0.423303	−	0.307547i	−0.355663	−	0.934614i	$-0.615745\pi$
$17$	1.74532	−	1.26805i	0.423303	−	0.307547i	0.778965	+	0.627067i	$0.215745\pi$
$18$	−2.07770	−	1.05864i	−0.489719	−	0.249525i
$19$	−2.83140	−	5.55693i	−0.649567	−	1.27485i	−0.947346	−	0.320212i	$-0.896246\pi$
$19$	−2.83140	−	5.55693i	−0.649567	−	1.27485i	0.297779	−	0.954635i	$-0.403754\pi$
$20$	1.61210	−	0.255332i	0.360477	−	0.0570939i
$21$	−1.68457	−	1.68457i	−0.367604	−	0.367604i
$22$	7.73149	−	0.193388i	1.64836	−	0.0412305i
$23$		−	3.72046i		−	0.775770i	−0.921708	−	0.387885i	$-0.873206\pi$
$23$		−	3.72046i		−	0.775770i	0.921708	−	0.387885i	$-0.126794\pi$
$24$	0.524404	+	3.31096i	0.107044	+	0.675846i
$25$	−4.54087	−	1.47542i	−0.908174	−	0.295084i
$26$	8.40602	−	0.165151i	1.64856	−	0.0323888i
$27$	0.809017	−	0.587785i	0.155695	−	0.113119i
$28$	−1.28112	+	8.08868i	−0.242109	+	1.52862i
$29$	−8.85101	+	2.87587i	−1.64359	+	0.534035i	−0.977337	−	0.211689i	$-0.932104\pi$
$29$	−8.85101	+	2.87587i	−1.64359	+	0.534035i	−0.666255	+	0.745724i	$0.732104\pi$
$30$	−0.342141	+	1.05300i	−0.0624661	+	0.192251i
$31$	0.196316	+	1.23949i	0.0352594	+	0.222619i	0.999026	−	0.0441283i	$-0.0140510\pi$
$31$	0.196316	+	1.23949i	0.0352594	+	0.222619i	−0.963766	+	0.266748i	$0.914051\pi$
$32$	−3.18789	+	3.18789i	−0.563545	+	0.563545i
$33$	−1.43135	+	2.99186i	−0.249166	+	0.520816i
$34$	3.55718	−	3.55718i	0.610051	−	0.610051i
$35$	−0.664881	+	0.915130i	−0.112385	+	0.154685i
$36$	−3.26933	−	1.06227i	−0.544888	−	0.177045i
$37$	−8.12781	−	4.14132i	−1.33620	−	0.680830i	−0.367727	−	0.929934i	$-0.619864\pi$
$37$	−8.12781	−	4.14132i	−1.33620	−	0.680830i	−0.968477	+	0.249104i	$0.919864\pi$
$38$	−8.54821	−	11.7656i	−1.38670	−	1.90863i
$39$	−1.57347	+	3.24410i	−0.251956	+	0.519472i
$40$	1.51377	−	0.491854i	0.239348	−	0.0777689i
$41$	−0.835426	−	1.63961i	−0.130472	−	0.256065i	0.816524	−	0.577311i	$-0.195898\pi$
$41$	−0.835426	−	1.63961i	−0.130472	−	0.256065i	−0.946996	+	0.321247i	$0.895898\pi$
$42$	−4.49434	−	3.26533i	−0.693491	−	0.503851i
$43$	10.0537			1.53318			0.766589	−	0.642138i	$-0.221953\pi$
$43$	10.0537			1.53318			0.766589	+	0.642138i	$0.221953\pi$
$44$	11.2127	−	2.06455i	1.69037	−	0.311243i
$45$	−0.335741	−	0.335741i	−0.0500494	−	0.0500494i
$46$	−1.35716	−	8.56879i	−0.200103	−	1.26340i
$47$	0.154828	+	0.303866i	0.0225839	+	0.0443235i	0.902023	−	0.431688i	$-0.142082\pi$
$47$	0.154828	+	0.303866i	0.0225839	+	0.0443235i	−0.879439	+	0.476012i	$0.842082\pi$
$48$	0.291026	+	0.895684i	0.0420059	+	0.129281i
$49$	0.778474	+	1.07148i	0.111211	+	0.153068i
$50$	−10.9965	−	1.74168i	−1.55514	−	0.246311i
$51$	0.666653	+	2.05175i	0.0933501	+	0.287302i
$52$	12.2013	−	2.17900i	1.69202	−	0.302172i
$53$	1.38996	+	1.00986i	0.190925	+	0.138715i	0.679142	−	0.734007i	$-0.262352\pi$
$53$	1.38996	+	1.00986i	0.190925	+	0.138715i	−0.488216	+	0.872723i	$0.662352\pi$
$54$	1.64887	−	1.64887i	0.224383	−	0.224383i
$55$	1.50939	+	0.449027i	0.203526	+	0.0605468i
$56$			7.98617i			1.06720i
$57$	6.15990	−	0.975633i	0.815899	−	0.129226i
$58$	−19.3362	+	9.85227i	−2.53896	+	1.29367i
$59$	−0.158049	−	0.0805298i	−0.0205762	−	0.0104841i	0.443672	−	0.896189i	$-0.353675\pi$
$59$	−0.158049	−	0.0805298i	−0.0205762	−	0.0104841i	−0.464248	+	0.885705i	$0.653675\pi$
$60$	−0.255332	+	1.61210i	−0.0329632	+	0.208121i
$61$	−7.50558	−	10.3305i	−0.960991	−	1.32269i	−0.946468	−	0.322796i	$-0.895377\pi$
$61$	−7.50558	−	10.3305i	−0.960991	−	1.32269i	−0.0145226	−	0.999895i	$-0.504623\pi$
$62$	0.904292	+	2.78312i	0.114845	+	0.353457i
$63$	2.12269	−	1.08156i	0.267433	−	0.136264i
$64$	−7.28644	+	10.0289i	−0.910805	+	1.25362i
$65$	1.63824	+	0.496938i	0.203199	+	0.0616376i
$66$	−2.20524	+	7.41284i	−0.271446	+	0.912458i
$67$	6.41964	+	6.41964i	0.784284	+	0.784284i	0.980551	−	0.196267i	$-0.0628818\pi$
$67$	6.41964	+	6.41964i	0.784284	+	0.784284i	−0.196267	+	0.980551i	$0.562882\pi$
$68$	4.35902	−	5.99967i	0.528609	−	0.727567i
$69$	3.53837	+	1.14969i	0.425970	+	0.138406i
$70$	−1.19750	+	2.35022i	−0.143128	+	0.280905i
$71$	9.92387	+	1.57179i	1.17775	+	0.186537i	0.714463	−	0.699673i	$-0.246671\pi$
$71$	9.92387	+	1.57179i	1.17775	+	0.186537i	0.463284	+	0.886210i	$0.346671\pi$
$72$	−3.31096	−	0.524404i	−0.390200	−	0.0618016i
$73$	3.07091	−	6.02700i	0.359423	−	0.705407i	−0.638514	−	0.769610i	$-0.720450\pi$
$73$	3.07091	−	6.02700i	0.359423	−	0.705407i	0.997937	+	0.0642029i	$0.0204505\pi$
$74$	−20.2303	−	6.57321i	−2.35172	−	0.764120i
$75$	2.80641	−	3.86270i	0.324057	−	0.446026i
$76$	−15.1597	−	15.1597i	−1.73894	−	1.73894i
$77$	−4.48301	+	6.50646i	−0.510886	+	0.741480i
$78$	−2.44054	+	8.04564i	−0.276336	+	0.910989i
$79$	−4.41008	+	6.06996i	−0.496173	+	0.682924i	−0.981512	−	0.191403i	$-0.938696\pi$
$79$	−4.41008	+	6.06996i	−0.496173	+	0.682924i	0.485339	+	0.874326i	$0.338696\pi$
$80$	0.398428	−	0.203009i	0.0445456	−	0.0226971i
$81$	0.309017	+	0.951057i	0.0343352	+	0.105673i
$82$	−2.52222	−	3.47153i	−0.278532	−	0.383367i
$83$	−1.10169	+	6.95581i	−0.120926	+	0.763499i	0.850468	+	0.526027i	$0.176319\pi$
$83$	−1.10169	+	6.95581i	−0.120926	+	0.763499i	−0.971394	+	0.237472i	$0.923681\pi$
$84$	−7.29690	−	3.71796i	−0.796157	−	0.405662i
$85$	0.912680	−	0.465034i	0.0989940	−	0.0504400i
$86$	23.1552	−	3.66743i	2.49689	−	0.395469i
$87$		−	9.30651i		−	0.997762i
$88$	10.4847	−	3.69901i	1.11767	−	0.394315i
$89$	−2.17136	+	2.17136i	−0.230164	+	0.230164i	−0.812761	−	0.582597i	$-0.802037\pi$
$89$	−2.17136	+	2.17136i	−0.230164	+	0.230164i	0.582597	+	0.812761i	$0.302037\pi$
$90$	−0.895736	−	0.650791i	−0.0944189	−	0.0685994i
$91$	−4.91141	+	7.04703i	−0.514855	+	0.738729i
$92$	−3.95214	−	12.1634i	−0.412039	−	1.26812i
$93$	−1.23949	−	0.196316i	−0.128529	−	0.0203570i
$94$	0.467437	+	0.643372i	0.0482124	+	0.0663587i
$95$	−0.915074	−	2.81631i	−0.0938846	−	0.288947i
$96$	−2.04675	−	4.01698i	−0.208896	−	0.409981i
$97$	−2.10528	−	13.2922i	−0.213759	−	1.34962i	−0.828101	−	0.560579i	$-0.810578\pi$
$97$	−2.10528	−	13.2922i	−0.213759	−	1.34962i	0.614342	−	0.789040i	$-0.289422\pi$
$98$	2.18380	+	2.18380i	0.220597	+	0.220597i
$99$	−2.40312	−	2.28583i	−0.241522	−	0.229735i
$100$	−16.4129			−1.64129
$101$	2.24801	+	1.63328i	0.223686	+	0.162517i	0.693984	−	0.719990i	$-0.255854\pi$
$101$	2.24801	+	1.63328i	0.223686	+	0.162517i	−0.470299	+	0.882507i	$0.655854\pi$
$102$	2.28385	+	4.48230i	0.226135	+	0.443814i
$103$	9.04914	−	2.94024i	0.891638	−	0.289711i	0.172857	−	0.984947i	$-0.444700\pi$
$103$	9.04914	−	2.94024i	0.891638	−	0.289711i	0.718781	+	0.695236i	$0.244700\pi$
$104$	11.4195	−	3.96005i	1.11977	−	0.388315i
$105$	−0.664881	−	0.915130i	−0.0648857	−	0.0893075i
$106$	3.56967	+	1.81884i	0.346717	+	0.176661i
$107$	−13.4232	−	4.36146i	−1.29767	−	0.421638i	−0.422899	−	0.906177i	$-0.638987\pi$
$107$	−13.4232	−	4.36146i	−1.29767	−	0.421638i	−0.874770	+	0.484539i	$0.838987\pi$
$108$	2.02056	−	2.78106i	0.194428	−	0.267607i
$109$	5.11996	−	5.11996i	0.490403	−	0.490403i	−0.418030	−	0.908433i	$-0.637279\pi$
$109$	5.11996	−	5.11996i	0.490403	−	0.490403i	0.908433	+	0.418030i	$0.137279\pi$
$110$	3.64016	+	0.483577i	0.347075	+	0.0461073i
$111$	6.45026	−	6.45026i	0.612232	−	0.612232i
$112$	0.350983	+	2.21602i	0.0331648	+	0.209394i
$113$	−4.31200	+	13.2710i	−0.405639	+	1.24843i	0.514721	+	0.857358i	$0.327895\pi$
$113$	−4.31200	+	13.2710i	−0.405639	+	1.24843i	−0.920360	+	0.391071i	$0.872105\pi$
$114$	13.8313	−	4.49406i	1.29542	−	0.420908i
$115$	0.276344	−	1.74477i	0.0257692	−	0.162700i
$116$	−25.8819	+	18.8043i	−2.40308	+	1.74594i
$117$	−2.59910	−	2.49894i	−0.240287	−	0.231027i
$118$	−0.393386	−	0.127819i	−0.0362141	−	0.0117667i
$119$	0.803999	+	5.07625i	0.0737024	+	0.465339i
$120$			1.59167i			0.145299i
$121$	10.6185	+	2.87191i	0.965316	+	0.261083i
$122$	−21.0549	−	21.0549i	−1.90622	−	1.90622i
$123$	1.81753	−	0.287868i	0.163881	−	0.0259562i
$124$	1.95850	+	3.84377i	0.175878	+	0.345180i
$125$	−4.13521	−	2.10700i	−0.369865	−	0.188455i
$126$	4.49434	−	3.26533i	0.400387	−	0.290898i
$127$	−4.84037	+	3.51674i	−0.429514	+	0.312060i	−0.781454	−	0.623962i	$-0.785522\pi$
$127$	−4.84037	+	3.51674i	−0.429514	+	0.312060i	0.351941	+	0.936022i	$0.385522\pi$
$128$	−9.02988	+	17.7221i	−0.798136	+	1.56643i
$129$	−3.10677	+	9.56165i	−0.273536	+	0.841857i
$130$	3.95439	+	0.546921i	0.346823	+	0.0479682i
$131$			13.7446i			1.20087i	0.799673	+	0.600436i	$0.205006\pi$
$131$			13.7446i			1.20087i	−0.799673	+	0.600436i	$0.794994\pi$
$132$	−1.50140	+	11.3019i	−0.130680	+	0.983701i
$133$	14.8580			1.28835
$134$	17.1272	+	12.4436i	1.47956	+	1.07497i
$135$	0.423059	−	0.215559i	0.0364111	−	0.0185524i
$136$	3.28321	−	6.44365i	0.281533	−	0.552539i
$137$	−0.500767	+	3.16172i	−0.0427834	+	0.270124i	−0.999802	−	0.0199031i	$-0.993664\pi$
$137$	−0.500767	+	3.16172i	−0.0427834	+	0.270124i	0.957019	+	0.290027i	$0.0936642\pi$
$138$	8.56879	+	1.35716i	0.729424	+	0.115529i
$139$	18.6058	−	6.04539i	1.57812	−	0.512763i	0.616550	−	0.787316i	$-0.288530\pi$
$139$	18.6058	−	6.04539i	1.57812	−	0.512763i	0.961572	+	0.274553i	$0.0885299\pi$
$140$	−1.20160	+	3.69814i	−0.101554	+	0.312550i
$141$	−0.336838	+	0.0533500i	−0.0283669	+	0.00449288i
$142$	23.4296			1.96616
$143$	11.5266	+	3.18396i	0.963902	+	0.266256i
$144$	−0.941778			−0.0784815
$145$	−4.36442	+	0.691256i	−0.362445	+	0.0574057i
$146$	4.87423	−	15.0013i	0.403394	−	1.24152i
$147$	−1.25960	+	0.409268i	−0.103890	+	0.0337559i
$148$	−30.9717	−	4.90543i	−2.54586	−	0.403224i
$149$	−2.97394	+	18.7767i	−0.243635	+	1.53825i	0.497839	+	0.867269i	$0.334127\pi$
$149$	−2.97394	+	18.7767i	−0.243635	+	1.53825i	−0.741474	+	0.670981i	$0.765873\pi$
$150$	5.05455	−	9.92011i	0.412702	−	0.809974i
$151$	0.323472	−	0.164817i	0.0263238	−	0.0134126i	−0.440779	−	0.897616i	$-0.645298\pi$
$151$	0.323472	−	0.164817i	0.0263238	−	0.0134126i	0.467103	+	0.884203i	$0.345298\pi$
$152$	−16.9140	−	12.2887i	−1.37190	−	0.996746i
$153$	−2.15734			−0.174410
$154$	−7.95159	+	16.6207i	−0.640758	+	1.33933i
$155$			0.595859i			0.0478606i
$156$	−1.69807	+	12.2775i	−0.135954	+	0.982986i
$157$	4.54006	−	13.9729i	0.362336	−	1.11516i	−0.589297	−	0.807917i	$-0.700595\pi$
$157$	4.54006	−	13.9729i	0.362336	−	1.11516i	0.951633	−	0.307238i	$-0.0994049\pi$
$158$	−7.94287	+	15.5888i	−0.631901	+	1.24018i
$159$	−1.38996	+	1.00986i	−0.110231	+	0.0800874i
$160$	−1.73179	+	1.25822i	−0.136910	+	0.0994712i
$161$	7.89738	+	4.02392i	0.622401	+	0.317129i
$162$	1.05864	+	2.07770i	0.0831748	+	0.163240i
$163$	7.36674	−	1.16678i	0.577007	−	0.0913890i	0.138892	−	0.990308i	$-0.455646\pi$
$163$	7.36674	−	1.16678i	0.577007	−	0.0913890i	0.438116	+	0.898919i	$0.355646\pi$
$164$	−4.47299	−	4.47299i	−0.349282	−	0.349282i
$165$	−0.893478	+	1.29676i	−0.0695572	+	0.100953i
$166$			16.4222i			1.27461i
$167$	−1.84961	−	11.6780i	−0.143127	−	0.903670i	−0.949842	−	0.312729i	$-0.898757\pi$
$167$	−1.84961	−	11.6780i	−0.143127	−	0.903670i	0.806715	−	0.590941i	$-0.201243\pi$
$168$	−7.59530	−	2.46786i	−0.585990	−	0.190400i
$169$	12.5120	+	3.52849i	0.962460	+	0.271423i
$170$	1.93240	−	1.40397i	0.148209	−	0.107680i
$171$	−0.975633	+	6.15990i	−0.0746085	+	0.471060i
$172$	32.8689	−	10.6798i	2.50623	−	0.814324i
$173$	−2.77637	+	8.54480i	−0.211084	+	0.649649i	0.788325	+	0.615259i	$0.210949\pi$
$173$	−2.77637	+	8.54480i	−0.211084	+	0.649649i	−0.999409	+	0.0343896i	$0.989051\pi$
$174$	−3.39486	−	21.4343i	−0.257364	−	1.62493i
$175$	8.04309	−	8.04309i	0.608001	−	0.608001i
$176$	2.74675	−	1.48720i	0.207044	−	0.112102i
$177$	0.125428	−	0.125428i	0.00942776	−	0.00942776i
$178$	−4.20890	+	5.79306i	−0.315471	+	0.434208i
$179$	10.1604	+	3.30132i	0.759425	+	0.246752i	0.663032	−	0.748591i	$-0.269269\pi$
$179$	10.1604	+	3.30132i	0.759425	+	0.246752i	0.0963931	+	0.995343i	$0.469269\pi$
$180$	−1.45430	−	0.741001i	−0.108397	−	0.0552310i
$181$	5.97538	+	8.22441i	0.444147	+	0.611316i	0.971127	−	0.238562i	$-0.0766759\pi$
$181$	5.97538	+	8.22441i	0.444147	+	0.611316i	−0.526981	+	0.849877i	$0.676676\pi$
$182$	−8.74108	+	18.0220i	−0.647932	+	1.33588i
$183$	12.1443	−	3.94592i	0.897731	−	0.291691i
$184$	−5.66210	−	11.1125i	−0.417415	−	0.819224i
$185$	−3.50405	−	2.54584i	−0.257623	−	0.187174i
$186$	−2.92635			−0.214570
$187$	6.29200	−	3.40673i	0.460116	−	0.249125i
$188$	0.828970	+	0.828970i	0.0604589	+	0.0604589i
$189$	0.372681	+	2.35302i	0.0271086	+	0.171157i
$190$	−3.13490	−	6.15258i	−0.227429	−	0.446355i
$191$	3.21652	+	9.89943i	0.232739	+	0.716297i	0.997413	+	0.0718803i	$0.0228999\pi$
$191$	3.21652	+	9.89943i	0.232739	+	0.716297i	−0.764674	+	0.644417i	$0.777100\pi$
$192$	−7.28644	−	10.0289i	−0.525853	−	0.723775i
$193$	−17.1581	−	2.71757i	−1.23507	−	0.195615i	−0.495446	−	0.868639i	$-0.664995\pi$
$193$	−17.1581	−	2.71757i	−1.23507	−	0.195615i	−0.739621	+	0.673024i	$0.764995\pi$
$194$	−9.69756	−	29.8460i	−0.696244	−	2.14282i
$195$	−0.978861	+	1.40450i	−0.0700977	+	0.100578i
$196$	3.68329	+	2.67606i	0.263092	+	0.191147i
$197$	−13.1725	+	13.1725i	−0.938499	+	0.938499i	−0.998215	−	0.0597163i	$-0.980980\pi$
$197$	−13.1725	+	13.1725i	−0.938499	+	0.938499i	0.0597163	+	0.998215i	$0.480980\pi$
$198$	−6.36858	−	4.38800i	−0.452595	−	0.311842i
$199$		−	20.7451i		−	1.47058i	−0.677752	−	0.735290i	$-0.737046\pi$
$199$		−	20.7451i		−	1.47058i	0.677752	−	0.735290i	$-0.262954\pi$
$200$	−15.8083	+	2.50380i	−1.11782	+	0.177045i
$201$	−8.08922	+	4.12166i	−0.570570	+	0.290720i
$202$	5.77331	+	2.94165i	0.406209	+	0.206974i
$203$	3.46836	−	21.8984i	0.243431	−	1.53696i
$204$	4.35902	+	5.99967i	0.305192	+	0.420061i
$205$	−0.270000	−	0.830974i	−0.0188576	−	0.0580377i
$206$	19.7690	−	10.0728i	1.37737	−	0.701806i
$207$	−2.18683	+	3.00992i	−0.151995	+	0.209204i
$208$	2.99466	−	1.60072i	0.207643	−	0.110990i
$209$	−6.88185	−	19.5064i	−0.476028	−	1.34929i
$210$	−1.86515	−	1.86515i	−0.128707	−	0.128707i
$211$	−3.63461	+	5.00261i	−0.250217	+	0.344394i	−0.915587	−	0.402120i	$-0.868274\pi$
$211$	−3.63461	+	5.00261i	−0.250217	+	0.344394i	0.665370	+	0.746513i	$0.268274\pi$
$212$	5.61698	+	1.82507i	0.385776	+	0.125346i
$213$	−4.56150	+	8.95246i	−0.312549	+	0.613412i
$214$	−32.5066	−	5.14854i	−2.22211	−	0.351947i
$215$	4.71483	+	0.746756i	0.321549	+	0.0509284i
$216$	1.52188	−	2.98686i	0.103551	−	0.203230i
$217$	−2.84338	−	0.923871i	−0.193021	−	0.0627164i
$218$	9.92437	−	13.6597i	0.672163	−	0.925153i
$219$	4.78306	+	4.78306i	0.323209	+	0.323209i
$220$	5.41169	−	0.135363i	0.364856	−	0.00912616i
$221$	6.85989	−	3.66677i	0.461446	−	0.246654i
$222$	12.5030	−	17.2089i	0.839146	−	1.15498i
$223$	−0.126935	+	0.0646766i	−0.00850019	+	0.00433106i	−0.458235	−	0.888831i	$-0.651518\pi$
$223$	−0.126935	+	0.0646766i	−0.00850019	+	0.00433106i	0.449735	+	0.893162i	$0.351518\pi$
$224$	−3.31899	−	10.2148i	−0.221759	−	0.682505i
$225$	2.80641	+	3.86270i	0.187094	+	0.257513i
$226$	−5.09016	+	32.1380i	−0.338593	+	2.13779i
$227$	4.60121	+	2.34443i	0.305393	+	0.155605i	0.599971	−	0.800022i	$-0.295179\pi$
$227$	4.60121	+	2.34443i	0.305393	+	0.155605i	−0.294578	+	0.955628i	$0.595179\pi$
$228$	19.1024	−	9.73314i	1.26509	−	0.644593i
$229$	−19.8581	+	3.14521i	−1.31226	+	0.207841i	−0.773057	−	0.634336i	$-0.781273\pi$
$229$	−19.8581	+	3.14521i	−1.31226	+	0.207841i	−0.539200	+	0.842178i	$0.681273\pi$
$230$		−	4.11926i		−	0.271616i
$231$	−4.80269	−	6.27420i	−0.315994	−	0.412812i
$232$	−22.0600	+	22.0600i	−1.44831	+	1.44831i
$233$	−7.42595	−	5.39527i	−0.486490	−	0.353456i	0.317343	−	0.948311i	$-0.397209\pi$
$233$	−7.42595	−	5.39527i	−0.486490	−	0.353456i	−0.803833	+	0.594855i	$0.797209\pi$
$234$	−6.89769	−	4.80733i	−0.450916	−	0.314265i
$235$	0.0500385	+	0.154003i	0.00326415	+	0.0100460i
$236$	−0.602258	−	0.0953883i	−0.0392036	−	0.00620925i
$237$	−4.41008	−	6.06996i	−0.286466	−	0.394286i
$238$	3.70346	+	11.3981i	0.240060	+	0.738828i
$239$	−0.496786	−	0.974997i	−0.0321344	−	0.0630673i	0.874381	−	0.485240i	$-0.161268\pi$
$239$	−0.496786	−	0.974997i	−0.0321344	−	0.0630673i	−0.906516	+	0.422172i	$0.861268\pi$
$240$	0.0699521	+	0.441660i	0.00451539	+	0.0285091i
$241$	10.3815	+	10.3815i	0.668728	+	0.668728i	0.957422	−	0.288694i	$-0.0932209\pi$
$241$	10.3815	+	10.3815i	0.668728	+	0.668728i	−0.288694	+	0.957422i	$0.593221\pi$
$242$	25.5036	+	2.74100i	1.63943	+	0.176198i
$243$	−1.00000			−0.0641500
$244$	−35.5120	−	25.8010i	−2.27343	−	1.65174i
$245$	0.285491	+	0.560307i	0.0182393	+	0.0357967i
$246$	4.08103	−	1.32601i	0.260197	−	0.0845432i
$247$	−7.36752	−	21.2455i	−0.468784	−	1.35182i
$248$	2.47273	+	3.40341i	0.157018	+	0.216117i
$249$	−6.27492	−	3.19723i	−0.397657	−	0.202616i
$250$	−10.2926	−	3.34428i	−0.650962	−	0.211511i
$251$	0.592294	−	0.815223i	0.0373853	−	0.0514564i	−0.789915	−	0.613216i	$-0.789875\pi$
$251$	0.592294	−	0.815223i	0.0373853	−	0.0514564i	0.827300	+	0.561760i	$0.189875\pi$
$252$	5.79085	−	5.79085i	0.364789	−	0.364789i
$253$	1.62495	−	12.2319i	0.102160	−	0.769014i
$254$	−9.86527	+	9.86527i	−0.619002	+	0.619002i
$255$	0.160240	+	1.01171i	0.0100346	+	0.0633560i
$256$	−6.67104	+	20.5313i	−0.416940	+	1.28321i
$257$	2.72909	−	0.886735i	0.170236	−	0.0553130i	−0.222659	−	0.974896i	$-0.571474\pi$
$257$	2.72909	−	0.886735i	0.170236	−	0.0553130i	0.392895	+	0.919583i	$0.371474\pi$
$258$	−3.66743	+	23.1552i	−0.228324	+	1.44158i
$259$	17.5815	−	12.7737i	1.09246	−	0.793718i
$260$	5.88383	−	0.115598i	0.364900	−	0.00716911i
$261$	8.85101	+	2.87587i	0.547864	+	0.178012i
$262$	5.01381	+	31.6559i	0.309754	+	1.95571i
$263$			24.6542i			1.52024i	0.649780	+	0.760122i	$0.274861\pi$
$263$			24.6542i			1.52024i	−0.649780	+	0.760122i	$0.725139\pi$
$264$	0.278010	+	11.1146i	0.0171103	+	0.684057i
$265$	0.576832	+	0.576832i	0.0354345	+	0.0354345i
$266$	34.2201	−	5.41994i	2.09817	−	0.332318i
$267$	−1.39410	−	2.73608i	−0.0853176	−	0.167445i
$268$	27.8073	+	14.1685i	1.69860	+	0.865481i
$269$	0.924709	−	0.671841i	0.0563805	−	0.0409628i	−0.559238	−	0.829007i	$-0.688906\pi$
$269$	0.924709	−	0.671841i	0.0563805	−	0.0409628i	0.615619	+	0.788044i	$0.288906\pi$
$270$	0.895736	−	0.650791i	0.0545128	−	0.0396059i
$271$	−14.6099	+	28.6735i	−0.887488	+	1.74179i	−0.255509	+	0.966807i	$0.582243\pi$
$271$	−14.6099	+	28.6735i	−0.887488	+	1.74179i	−0.631978	+	0.774986i	$0.717757\pi$
$272$	0.627840	−	1.93229i	0.0380684	−	0.117162i
$273$	−5.18441	−	6.84868i	−0.313775	−	0.414501i
$274$			7.46458i			0.450952i
$275$	−14.2848	−	6.83407i	−0.861406	−	0.412110i
$276$	12.7894			0.769830
$277$	−13.7239	−	9.97099i	−0.824589	−	0.599099i	0.0934345	−	0.995625i	$-0.470215\pi$
$277$	−13.7239	−	9.97099i	−0.824589	−	0.599099i	−0.918023	+	0.396527i	$0.870215\pi$
$278$	40.6467	−	20.7105i	2.43783	−	1.24213i
$279$	0.569732	−	1.11816i	0.0341089	−	0.0669426i
$280$	−0.593186	+	3.74523i	−0.0354497	+	0.223820i
$281$	13.9748	+	2.21339i	0.833667	+	0.132040i	0.558654	−	0.829401i	$-0.311318\pi$
$281$	13.9748	+	2.21339i	0.833667	+	0.132040i	0.275013	+	0.961441i	$0.411318\pi$
$282$	−0.756329	+	0.245746i	−0.0450387	+	0.0146340i
$283$	0.672776	−	2.07059i	0.0399924	−	0.123084i	−0.929067	−	0.369911i	$-0.879388\pi$
$283$	0.672776	−	2.07059i	0.0399924	−	0.123084i	0.969059	+	0.246827i	$0.0793881\pi$
$284$	34.1141	−	5.40314i	2.02430	−	0.320617i
$285$	2.96124			0.175409
$286$	27.7090	+	3.12844i	1.63846	+	0.184989i
$287$	4.38396			0.258777
$288$	4.45286	−	0.705263i	0.262387	−	0.0415580i
$289$	−3.81509	+	11.7417i	−0.224417	+	0.690685i
$290$	−9.79976	+	3.18414i	−0.575462	+	0.186979i
$291$	13.2922	+	2.10528i	0.779203	+	0.123414i
$292$	3.63752	−	22.9664i	0.212870	−	1.34401i
$293$	−7.81826	+	15.3442i	−0.456748	+	0.896418i	0.541692	+	0.840577i	$0.317784\pi$
$293$	−7.81826	+	15.3442i	−0.456748	+	0.896418i	−0.998440	+	0.0558408i	$0.982216\pi$
$294$	−2.75175	+	1.40209i	−0.160485	+	0.0817714i
$295$	−0.0681377	−	0.0495050i	−0.00396713	−	0.00288229i
$296$	−30.5792			−1.77738
$297$	2.91656	−	1.57914i	0.169236	−	0.0916309i
$298$			44.3305i			2.56800i
$299$	1.83780	−	13.2878i	0.106283	−	0.768455i
$300$	5.07186	−	15.6096i	0.292824	−	0.901220i
$301$	−10.8737	+	21.3409i	−0.626751	+	1.23007i
$302$	0.684883	−	0.497597i	0.0394106	−	0.0286335i
$303$	−2.24801	+	1.63328i	−0.129145	+	0.0938293i
$304$	−5.23340	−	2.66655i	−0.300156	−	0.152937i
$305$	−2.75253	−	5.40215i	−0.157609	−	0.309326i
$306$	−4.96867	+	0.786960i	−0.284040	+	0.0449875i
$307$	2.82185	+	2.82185i	0.161052	+	0.161052i	0.783032	−	0.621981i	$-0.213672\pi$
$307$	2.82185	+	2.82185i	0.161052	+	0.161052i	−0.621981	+	0.783032i	$0.713672\pi$
$308$	−7.74480	+	26.0339i	−0.441301	+	1.48342i
$309$			9.51483i			0.541280i
$310$	0.217360	+	1.37235i	0.0123452	+	0.0779445i
$311$	27.8271	+	9.04157i	1.57793	+	0.512700i	0.961522	−	0.274727i	$-0.0885876\pi$
$311$	27.8271	+	9.04157i	1.57793	+	0.512700i	0.616407	+	0.787428i	$0.288588\pi$
$312$	0.237418	+	12.0843i	0.0134411	+	0.684139i
$313$	20.0392	−	14.5593i	1.13268	−	0.822942i	0.146600	−	0.989196i	$-0.453167\pi$
$313$	20.0392	−	14.5593i	1.13268	−	0.822942i	0.986083	+	0.166254i	$0.0531670\pi$
$314$	5.35937	−	33.8377i	0.302447	−	1.90957i
$315$	1.07580	−	0.349549i	0.0606144	−	0.0196948i
$316$	−7.97008	+	24.5294i	−0.448352	+	1.37989i
$317$	−3.50653	−	22.1393i	−0.196946	−	1.24347i	−0.865920	−	0.500183i	$-0.833266\pi$
$317$	−3.50653	−	22.1393i	−0.196946	−	1.24347i	0.668973	−	0.743286i	$-0.266734\pi$
$318$	−2.83290	+	2.83290i	−0.158861	+	0.158861i
$319$	−30.3559	+	5.58934i	−1.69960	+	0.312943i
$320$	−4.16199	+	4.16199i	−0.232663	+	0.232663i
$321$	8.29599	−	11.4184i	0.463037	−	0.637315i
$322$	19.6567	+	6.38686i	1.09543	+	0.355926i
$323$	−11.9882	−	6.10827i	−0.667039	−	0.339873i
$324$	2.02056	+	2.78106i	0.112253	+	0.154503i
$325$	−15.4892	−	7.51260i	−0.859183	−	0.416724i
$326$	16.5411	−	5.37453i	0.916127	−	0.297668i
$327$	3.28722	+	6.45153i	0.181783	+	0.356770i
$328$	−4.99059	−	3.62588i	−0.275559	−	0.200206i
$329$	−0.812469			−0.0447929
$330$	−1.58478	+	3.31256i	−0.0872393	+	0.182351i
$331$	−8.13571	−	8.13571i	−0.447179	−	0.447179i	0.447237	−	0.894416i	$-0.352408\pi$
$331$	−8.13571	−	8.13571i	−0.447179	−	0.447179i	−0.894416	+	0.447237i	$0.852408\pi$
$332$	3.78715	+	23.9111i	0.207847	+	1.31229i
$333$	4.14132	+	8.12781i	0.226943	+	0.445401i
$334$	−8.51988	−	26.2215i	−0.466187	−	1.43478i
$335$	2.53375	+	3.48741i	0.138434	+	0.190538i
$336$	−2.21602	−	0.350983i	−0.120894	−	0.0191477i
$337$	−0.578665	−	1.78095i	−0.0315219	−	0.0970145i	0.934058	−	0.357122i	$-0.116242\pi$
$337$	−0.578665	−	1.78095i	−0.0315219	−	0.0970145i	−0.965580	+	0.260108i	$0.916242\pi$
$338$	30.1041	+	3.56249i	1.63745	+	0.193774i
$339$	−11.2890	−	8.20192i	−0.613133	−	0.445467i
$340$	2.48986	−	2.48986i	0.135032	−	0.135032i
$341$	0.104076	+	4.16087i	0.00563603	+	0.225324i
$342$			14.5431i			0.786400i
$343$	−19.5875	+	3.10236i	−1.05763	+	0.167511i
$344$	30.0290	−	15.3005i	1.61906	−	0.824950i
$345$	1.57398	+	0.801980i	0.0847400	+	0.0431772i
$346$	−3.27741	+	20.6927i	−0.176195	+	1.11245i
$347$	−4.24348	−	5.84064i	−0.227802	−	0.313542i	0.679781	−	0.733415i	$-0.262075\pi$
$347$	−4.24348	−	5.84064i	−0.227802	−	0.313542i	−0.907583	+	0.419873i	$0.862075\pi$
$348$	−9.88602	−	30.4260i	−0.529946	−	1.63101i
$349$	9.53584	−	4.85875i	0.510442	−	0.260083i	−0.179746	−	0.983713i	$-0.557528\pi$
$349$	9.53584	−	4.85875i	0.510442	−	0.260083i	0.690188	+	0.723630i	$0.257528\pi$
$350$	15.5905	−	21.4585i	0.833346	−	1.14700i
$351$	3.17980	−	1.69967i	0.169725	−	0.0907219i
$352$	−11.8733	+	9.08862i	−0.632849	+	0.484425i
$353$	−11.3277	−	11.3277i	−0.602910	−	0.602910i	0.338174	−	0.941084i	$-0.390191\pi$
$353$	−11.3277	−	11.3277i	−0.602910	−	0.602910i	−0.941084	+	0.338174i	$0.890191\pi$
$354$	0.243126	−	0.334634i	0.0129220	−	0.0177856i
$355$	4.53720	+	1.47422i	0.240809	+	0.0782437i
$356$	−4.79233	+	9.40547i	−0.253993	+	0.498489i
$357$	−5.07625	−	0.803999i	−0.268664	−	0.0425521i
$358$	24.6052	+	3.89709i	1.30043	+	0.205967i
$359$	7.69569	−	15.1036i	0.406163	−	0.797139i	−0.593809	−	0.804606i	$-0.702377\pi$
$359$	7.69569	−	15.1036i	0.406163	−	0.797139i	0.999972	+	0.00746636i	$0.00237664\pi$
$360$	−1.51377	−	0.491854i	−0.0797827	−	0.0259230i
$361$	−11.6947	+	16.0964i	−0.615513	+	0.847181i
$362$	16.7623	+	16.7623i	0.881009	+	0.881009i
$363$	−6.01264	+	9.21131i	−0.315582	+	0.483468i
$364$	−8.57117	+	28.2563i	−0.449251	+	1.48103i
$365$	1.88781	−	2.59835i	0.0988127	−	0.136004i
$366$	26.5307	−	13.5181i	1.38678	−	0.706601i
$367$	9.00018	+	27.6997i	0.469806	+	1.44591i	0.852837	+	0.522178i	$0.174880\pi$
$367$	9.00018	+	27.6997i	0.469806	+	1.44591i	−0.383031	+	0.923736i	$0.625120\pi$
$368$	−2.05951	−	2.83468i	−0.107360	−	0.147768i
$369$	−0.287868	+	1.81753i	−0.0149858	+	0.0946167i
$370$	−8.99904	−	4.58524i	−0.467838	−	0.238375i
$371$	−3.64695	+	1.85822i	−0.189340	+	0.0964737i
$372$	−4.26085	+	0.674852i	−0.220915	+	0.0349894i
$373$			12.4921i			0.646816i	0.946260	+	0.323408i	$0.104829\pi$
$373$			12.4921i			0.646816i	−0.946260	+	0.323408i	$0.895171\pi$
$374$	13.2487	−	10.1414i	0.685074	−	0.524401i
$375$	3.28172	−	3.28172i	0.169467	−	0.169467i
$376$	0.924896	+	0.671976i	0.0476979	+	0.0346545i
$377$	−33.0325	+	5.89917i	−1.70126	+	0.303823i
$378$	1.71668	+	5.28341i	0.0882967	+	0.271749i
$379$	−15.0923	−	2.39039i	−0.775241	−	0.122786i	−0.243736	−	0.969842i	$-0.578373\pi$
$379$	−15.0923	−	2.39039i	−0.775241	−	0.122786i	−0.531505	+	0.847055i	$0.678373\pi$
$380$	−5.98336	−	8.23539i	−0.306940	−	0.422466i
$381$	−1.84886	−	5.69020i	−0.0947199	−	0.291518i
$382$	11.0193	+	21.6266i	0.563795	+	1.10651i
$383$	−2.18879	−	13.8195i	−0.111842	−	0.706142i	−0.978347	−	0.206973i	$-0.933639\pi$
$383$	−2.18879	−	13.8195i	−0.111842	−	0.706142i	0.866505	−	0.499169i	$-0.166361\pi$
$384$	−14.0644	−	14.0644i	−0.717719	−	0.717719i
$385$	−2.58565	+	2.71832i	−0.131777	+	0.138538i
$386$	−40.5090			−2.06185
$387$	−8.13363	−	5.90943i	−0.413456	−	0.300393i
$388$	−21.0028	−	41.2202i	−1.06625	−	2.09264i
$389$	28.9721	−	9.41361i	1.46894	−	0.477289i	0.538156	−	0.842846i	$-0.319121\pi$
$389$	28.9721	−	9.41361i	1.46894	−	0.477289i	0.930789	+	0.365556i	$0.119121\pi$
$390$	−1.74213	+	3.59184i	−0.0882160	+	0.181880i
$391$	−4.71773	−	6.49340i	−0.238586	−	0.328386i
$392$	3.95585	+	2.01561i	0.199801	+	0.101804i
$393$	−13.0719	−	4.24732i	−0.659390	−	0.214249i
$394$	−25.5331	+	35.1433i	−1.28634	+	1.77049i
$395$	−2.51903	+	2.51903i	−0.126746	+	0.126746i
$396$	−10.2848	−	4.92038i	−0.516828	−	0.247258i
$397$	4.10407	−	4.10407i	0.205978	−	0.205978i	−0.596578	−	0.802555i	$-0.703473\pi$
$397$	4.10407	−	4.10407i	0.205978	−	0.205978i	0.802555	+	0.596578i	$0.203473\pi$
$398$	−7.56747	−	47.7791i	−0.379323	−	2.39495i
$399$	−4.59136	+	14.1308i	−0.229856	+	0.707423i
$400$	−4.27649	+	1.38952i	−0.213825	+	0.0694759i
$401$	−0.0874445	+	0.552103i	−0.00436677	+	0.0275707i	−0.989776	−	0.142634i	$-0.954443\pi$
$401$	−0.0874445	+	0.552103i	−0.00436677	+	0.0275707i	0.985409	+	0.170205i	$0.0544429\pi$
$402$	−17.1272	+	12.4436i	−0.854227	+	0.620632i
$403$	0.0888798	+	4.52388i	0.00442742	+	0.225351i
$404$	9.08447	+	2.95172i	0.451969	+	0.146854i
$405$	0.0742767	+	0.468964i	0.00369084	+	0.0233030i
$406$		−	51.7005i		−	2.56585i
$407$	−24.9134	−	17.1655i	−1.23491	−	0.850863i
$408$	5.11371	+	5.11371i	0.253167	+	0.253167i
$409$	−11.4422	+	1.81227i	−0.565781	+	0.0896109i	−0.432771	−	0.901504i	$-0.642464\pi$
$409$	−11.4422	+	1.81227i	−0.565781	+	0.0896109i	−0.133010	+	0.991115i	$0.542464\pi$
$410$	−0.924976	−	1.81537i	−0.0456813	−	0.0896546i
$411$	−2.85223	−	1.45328i	−0.140690	−	0.0716851i
$412$	26.4613	−	19.2253i	1.30365	−	0.947160i
$413$	0.341879	−	0.248390i	0.0168228	−	0.0122225i
$414$	−3.93864	+	7.73002i	−0.193574	+	0.379910i
$415$	−1.03331	+	3.18020i	−0.0507231	+	0.156110i
$416$	−12.9605	+	9.81100i	−0.635439	+	0.481024i
$417$			19.5633i			0.958018i
$418$	−22.9656	−	42.4158i	−1.12328	−	2.07462i
$419$	32.6965			1.59733			0.798663	−	0.601778i	$-0.205541\pi$
$419$	32.6965			1.59733			0.798663	+	0.601778i	$0.205541\pi$
$420$	−3.14583	−	2.28558i	−0.153501	−	0.111525i
$421$	10.2536	−	5.22448i	0.499731	−	0.254626i	−0.185908	−	0.982567i	$-0.559523\pi$
$421$	10.2536	−	5.22448i	0.499731	−	0.254626i	0.685639	+	0.727941i	$0.259523\pi$
$422$	−6.54618	+	12.8476i	−0.318663	+	0.625412i
$423$	0.0533500	−	0.336838i	0.00259396	−	0.0163776i
$424$	5.68850	+	0.900970i	0.276258	+	0.0437550i
$425$	−9.79619	+	3.18297i	−0.475185	+	0.154397i
$426$	−7.24013	+	22.2828i	−0.350785	+	1.07961i
$427$	30.0463	−	4.75886i	1.45404	−	0.230298i
$428$	−48.5179			−2.34520
$429$	−6.59004	+	9.97854i	−0.318170	+	0.481769i
$430$	11.1314			0.536803
$431$	−26.0935	+	4.13280i	−1.25688	+	0.199070i	−0.749123	−	0.662431i	$-0.769525\pi$
$431$	−26.0935	+	4.13280i	−1.25688	+	0.199070i	−0.507756	+	0.861501i	$0.669525\pi$
$432$	0.291026	−	0.895684i	0.0140020	−	0.0430936i
$433$	0.419078	−	0.136167i	0.0201396	−	0.00654375i	−0.298930	−	0.954275i	$-0.596630\pi$
$433$	0.419078	−	0.136167i	0.0201396	−	0.00654375i	0.319069	+	0.947731i	$0.396630\pi$
$434$	−6.88575	−	1.09060i	−0.330527	−	0.0523503i
$435$	0.691256	−	4.36442i	0.0331432	−	0.209258i
$436$	11.3001	−	22.1776i	0.541175	−	1.06211i
$437$	−20.6744	+	10.5341i	−0.988989	+	0.503915i
$438$	12.7609	+	9.27133i	0.609739	+	0.443001i
$439$	−31.0628			−1.48255			−0.741273	−	0.671204i	$-0.765777\pi$
$439$	−31.0628			−1.48255			−0.741273	+	0.671204i	$0.765777\pi$
$440$	5.19171	−	0.955933i	0.247505	−	0.0455723i
$441$		−	1.32442i		−	0.0630676i
$442$	14.4618	−	10.9475i	0.687877	−	0.520719i
$443$	5.74421	−	17.6789i	0.272916	−	0.839948i	−0.716848	−	0.697230i	$-0.754416\pi$
$443$	5.74421	−	17.6789i	0.272916	−	0.839948i	0.989763	−	0.142718i	$-0.0455844\pi$
$444$	14.2361	−	27.9400i	0.675616	−	1.32597i
$445$	−1.17957	+	0.857010i	−0.0559172	+	0.0406262i
$446$	−0.268758	+	0.195264i	−0.0127260	+	0.00924601i
$447$	−16.9387	−	8.63072i	−0.801175	−	0.408219i
$448$	−13.4075	−	26.3137i	−0.633446	−	1.24321i
$449$	−27.4024	+	4.34012i	−1.29320	+	0.204823i	−0.764853	−	0.644205i	$-0.777188\pi$
$449$	−27.4024	+	4.34012i	−1.29320	+	0.204823i	−0.528348	+	0.849028i	$0.677188\pi$
$450$	7.87264	+	7.87264i	0.371120	+	0.371120i
$451$	−2.03054	−	5.75551i	−0.0956146	−	0.271016i
$452$			47.9677i			2.25621i
$453$	0.0567922	+	0.358572i	0.00266833	+	0.0168472i
$454$	11.4525	+	3.72114i	0.537492	+	0.174642i
$455$	−2.82671	+	2.94000i	−0.132518	+	0.137829i
$456$	16.9140	−	12.2887i	0.792069	−	0.575472i
$457$	6.42770	−	40.5829i	0.300675	−	1.89839i	−0.122718	−	0.992442i	$-0.539161\pi$
$457$	6.42770	−	40.5829i	0.300675	−	1.89839i	0.423393	−	0.905946i	$-0.360839\pi$
$458$	−44.5888	+	14.4878i	−2.08350	+	0.676970i
$459$	0.666653	−	2.05175i	0.0311167	−	0.0957674i
$460$	−0.949952	−	5.99776i	−0.0442918	−	0.279647i
$461$	4.40479	−	4.40479i	0.205152	−	0.205152i	−0.597051	−	0.802203i	$-0.703661\pi$
$461$	4.40479	−	4.40479i	0.205152	−	0.205152i	0.802203	+	0.597051i	$0.203661\pi$
$462$	−13.3500	−	12.6985i	−0.621100	−	0.590787i
$463$	12.7319	−	12.7319i	0.591701	−	0.591701i	−0.346390	−	0.938091i	$-0.612593\pi$
$463$	12.7319	−	12.7319i	0.591701	−	0.591701i	0.938091	+	0.346390i	$0.112593\pi$
$464$	−5.15174	+	7.09076i	−0.239164	+	0.329180i
$465$	−0.566696	−	0.184131i	−0.0262799	−	0.00853885i
$466$	−19.0712	−	9.71726i	−0.883456	−	0.450144i
$467$	3.17080	+	4.36423i	0.146727	+	0.201953i	0.876054	−	0.482213i	$-0.160167\pi$
$467$	3.17080	+	4.36423i	0.146727	+	0.201953i	−0.729327	+	0.684165i	$0.760167\pi$
$468$	−11.1519	−	5.40891i	−0.515495	−	0.250027i
$469$	−20.5701	+	6.68364i	−0.949841	+	0.308622i
$470$	0.171424	+	0.336438i	0.00790719	+	0.0155187i
$471$	11.8860	+	8.63570i	0.547679	+	0.397912i
$472$	−0.594626			−0.0273699
$473$	33.0540	+	4.39106i	1.51983	+	0.201901i
$474$	−12.3713	−	12.3713i	−0.568233	−	0.568233i
$475$	4.65821	+	29.4108i	0.213734	+	1.34946i
$476$	8.02088	+	15.7419i	0.367636	+	0.721527i
$477$	−0.530917	−	1.63399i	−0.0243090	−	0.0748154i
$478$	−1.49984	−	2.06435i	−0.0686009	−	0.0944210i
$479$	−40.0204	−	6.33861i	−1.82858	−	0.289618i	−0.855111	−	0.518445i	$-0.826511\pi$
$479$	−40.0204	−	6.33861i	−1.82858	−	0.289618i	−0.973467	+	0.228826i	$0.926511\pi$
$480$	−0.661486	−	2.03585i	−0.0301926	−	0.0929232i
$481$	−26.9832	−	18.8059i	−1.23033	−	0.857474i
$482$	27.6970	+	20.1231i	1.26157	+	0.916581i
$483$	−6.26740	+	6.26740i	−0.285176	+	0.285176i
$484$	37.7661	−	1.89047i	1.71664	−	0.0859305i
$485$		−	6.38995i		−	0.290152i
$486$	−2.30315	+	0.364783i	−0.104473	+	0.0165469i
$487$	−11.8879	+	6.05718i	−0.538691	+	0.274477i	−0.702096	−	0.712082i	$-0.747752\pi$
$487$	−11.8879	+	6.05718i	−0.538691	+	0.274477i	0.163405	+	0.986559i	$0.447752\pi$
$488$	−38.1399	−	19.4333i	−1.72651	−	0.879703i
$489$	−1.16678	+	7.36674i	−0.0527635	+	0.333135i
$490$	0.861920	+	1.18633i	0.0389376	+	0.0535930i
$491$	−7.32850	−	22.5548i	−0.330731	−	1.01788i	−0.968787	−	0.247895i	$-0.920261\pi$
$491$	−7.32850	−	22.5548i	−0.330731	−	1.01788i	0.638056	−	0.769990i	$-0.279739\pi$
$492$	5.63630	−	2.87184i	0.254104	−	0.129472i
$493$	−11.8011	+	16.2428i	−0.531496	+	0.731541i
$494$	−24.7185	−	46.2441i	−1.11214	−	2.08062i
$495$	−0.957192	−	1.25047i	−0.0430226	−	0.0562044i
$496$	0.835713	+	0.835713i	0.0375246	+	0.0375246i
$497$	−14.0697	+	19.3653i	−0.631113	+	0.868652i
$498$	−15.6184	−	5.07473i	−0.699877	−	0.227404i
$499$	2.59946	−	5.10173i	0.116368	−	0.228385i	−0.825475	−	0.564439i	$-0.809093\pi$
$499$	2.59946	−	5.10173i	0.116368	−	0.228385i	0.941843	+	0.336054i	$0.109093\pi$
$500$	−15.7576	−	2.49575i	−0.704700	−	0.111614i
$501$	11.6780	+	1.84961i	0.521734	+	0.0826346i
$502$	1.06676	−	2.09364i	0.0476120	−	0.0934438i
$503$	17.0212	+	5.53053i	0.758939	+	0.246594i	0.662823	−	0.748776i	$-0.269358\pi$
$503$	17.0212	+	5.53053i	0.758939	+	0.246594i	0.0961159	+	0.995370i	$0.469358\pi$
$504$	4.69416	−	6.46095i	0.209094	−	0.287794i
$505$	0.932924	+	0.932924i	0.0415146	+	0.0415146i
$506$	−0.719493	−	28.7647i	−0.0319854	−	1.27875i
$507$	−7.22221	+	10.8092i	−0.320750	+	0.480055i
$508$	−12.0891	+	16.6392i	−0.536365	+	0.738243i
$509$	27.9920	−	14.2626i	1.24072	−	0.632180i	0.294487	−	0.955655i	$-0.404851\pi$
$509$	27.9920	−	14.2626i	1.24072	−	0.632180i	0.946237	+	0.323475i	$0.104851\pi$
$510$	0.738113	+	2.27168i	0.0326842	+	0.100592i
$511$	9.47206	+	13.0372i	0.419019	+	0.576731i
$512$	−1.65195	+	10.4300i	−0.0730064	+	0.460944i
$513$	−5.55693	−	2.83140i	−0.245344	−	0.125009i
$514$	5.96204	−	3.03781i	0.262974	−	0.133992i
$515$	4.46212	−	0.706730i	0.196624	−	0.0311422i
$516$			34.5604i			1.52144i
$517$	0.376316	+	1.06666i	0.0165504	+	0.0469115i
$518$	35.8332	−	35.8332i	1.57442	−	1.57442i
$519$	−7.26864	−	5.28098i	−0.319058	−	0.231809i
$520$	5.64947	−	1.00892i	0.247746	−	0.0442441i
$521$	−0.310615	−	0.955973i	−0.0136083	−	0.0418819i	0.944022	−	0.329883i	$-0.107009\pi$
$521$	−0.310615	−	0.955973i	−0.0136083	−	0.0418819i	−0.957630	+	0.288001i	$0.907009\pi$
$522$	21.4343	+	3.39486i	0.938154	+	0.148589i
$523$	−16.1713	−	22.2578i	−0.707120	−	0.973267i	−0.999854	−	0.0170728i	$-0.994565\pi$
$523$	−16.1713	−	22.2578i	−0.707120	−	0.973267i	0.292735	−	0.956194i	$-0.405435\pi$
$524$	14.6005	+	44.9357i	0.637825	+	1.96302i
$525$	5.16398	+	10.1349i	0.225375	+	0.442323i
$526$	8.99345	+	56.7824i	0.392133	+	2.47583i
$527$	1.91437	+	1.91437i	0.0833914	+	0.0833914i
$528$	0.565617	+	3.07189i	0.0246153	+	0.133687i
$529$	9.15815			0.398180
$530$	1.53895	+	1.11811i	0.0668477	+	0.0485677i
$531$	0.0805298	+	0.158049i	0.00349470	+	0.00685873i
$532$	48.5756	−	15.7832i	2.10602	−	0.684287i
$533$	−2.17384	−	6.26865i	−0.0941596	−	0.271525i
$534$	−4.20890	−	5.79306i	−0.182137	−	0.250690i
$535$	−5.97104	−	3.04240i	−0.258151	−	0.131534i
$536$	28.9445	+	9.40463i	1.25021	+	0.406218i
$537$	−6.27948	+	8.64296i	−0.270980	+	0.372971i
$538$	1.88467	−	1.88467i	0.0812539	−	0.0812539i
$539$	2.09144	+	3.86275i	0.0900848	+	0.166380i
$540$	1.15414	−	1.15414i	0.0496661	−	0.0496661i
$541$	−2.36947	−	14.9602i	−0.101871	−	0.643191i	−0.984801	−	0.173686i	$-0.944432\pi$
$541$	−2.36947	−	14.9602i	−0.101871	−	0.643191i	0.882930	−	0.469505i	$-0.155568\pi$
$542$	−23.1892	+	71.3689i	−0.996060	+	3.06556i
$543$	−9.66837	+	3.14145i	−0.414910	+	0.134812i
$544$	−1.52149	+	9.60630i	−0.0652333	+	0.411867i
$545$	2.78137	−	2.02079i	0.119141	−	0.0865609i
$546$	−14.4388	−	13.8824i	−0.617923	−	0.594110i
$547$	18.6897	+	6.07265i	0.799114	+	0.259648i	0.679980	−	0.733230i	$-0.261988\pi$
$547$	18.6897	+	6.07265i	0.799114	+	0.259648i	0.119134	+	0.992878i	$0.461988\pi$
$548$	1.72142	+	10.8686i	0.0735356	+	0.464285i
$549$			12.7693i			0.544979i
$550$	−35.3930	−	10.5290i	−1.50916	−	0.448960i
$551$	41.0417	+	41.0417i	1.74844	+	1.74844i
$552$	12.3183	−	1.95103i	0.524301	−	0.0830412i
$553$	−8.11484	−	15.9263i	−0.345078	−	0.677254i
$554$	−35.2455	−	17.9585i	−1.49744	−	0.762982i
$555$	3.50405	−	2.54584i	0.148739	−	0.108065i
$556$	54.4066	−	39.5287i	2.30735	−	1.67639i
$557$	−2.69473	+	5.28870i	−0.114179	+	0.224089i	−0.941023	−	0.338342i	$-0.890134\pi$
$557$	−2.69473	+	5.28870i	−0.114179	+	0.224089i	0.826844	+	0.562431i	$0.190134\pi$
$558$	0.904292	−	2.78312i	0.0382817	−	0.117819i
$559$	35.9074	+	4.96625i	1.51872	+	0.210050i
$560$			1.06530i			0.0450173i
$561$	1.29566	+	7.03678i	0.0547029	+	0.297093i
$562$	32.9935			1.39175
$563$	24.2407	+	17.6119i	1.02162	+	0.742253i	0.966615	−	0.256233i	$-0.0824813\pi$
$563$	24.2407	+	17.6119i	1.02162	+	0.742253i	0.0550087	+	0.998486i	$0.482481\pi$
$564$	−1.04456	+	0.532232i	−0.0439841	+	0.0224110i
$565$	−3.00790	+	5.90334i	−0.126543	+	0.248355i
$566$	0.794188	−	5.01431i	0.0333822	−	0.210767i
$567$	−2.35302	−	0.372681i	−0.0988174	−	0.0156511i
$568$	32.0333	−	10.4082i	1.34409	−	0.436720i
$569$	−11.1565	+	34.3363i	−0.467706	+	1.43945i	0.387842	+	0.921726i	$0.373221\pi$
$569$	−11.1565	+	34.3363i	−0.467706	+	1.43945i	−0.855547	+	0.517724i	$0.826779\pi$
$570$	6.82019	−	1.08021i	0.285666	−	0.0452451i
$571$	38.8775			1.62697			0.813485	−	0.581585i	$-0.197567\pi$
$571$	38.8775			1.62697			0.813485	+	0.581585i	$0.197567\pi$
$572$	41.0665	−	1.83492i	1.71707	−	0.0767220i
$573$	−10.4089			−0.434837
$574$	10.0969	−	1.59919i	0.421437	−	0.0667491i
$575$	−5.48924	+	16.8942i	−0.228917	+	0.704535i
$576$	11.7897	−	3.83071i	0.491238	−	0.159613i
$577$	−32.9352	−	5.21642i	−1.37111	−	0.217162i	−0.572941	−	0.819597i	$-0.694198\pi$
$577$	−32.9352	−	5.21642i	−1.37111	−	0.217162i	−0.798169	+	0.602434i	$0.794198\pi$
$578$	−4.50358	+	28.4345i	−0.187324	+	1.18272i
$579$	7.88671	−	15.4785i	0.327760	−	0.643266i
$580$	−13.5344	+	6.89613i	−0.561986	+	0.286346i
$581$	−13.5735	−	9.86169i	−0.563122	−	0.409132i
$582$	31.3820			1.30082
$583$	4.12875	+	3.92725i	0.170996	+	0.162650i
$584$		−	22.6754i		−	0.938313i
$585$	−1.03327	−	1.36497i	−0.0427205	−	0.0564344i
$586$	−12.4093	+	38.1920i	−0.512625	+	1.57770i
$587$	12.6103	−	24.7491i	0.520482	−	1.02150i	−0.469845	−	0.882749i	$-0.655690\pi$
$587$	12.6103	−	24.7491i	0.520482	−	1.02150i	0.990327	−	0.138754i	$-0.0443098\pi$
$588$	−3.68329	+	2.67606i	−0.151896	+	0.110359i
$589$	6.33192	−	4.60041i	0.260902	−	0.189557i
$590$	−0.174990	−	0.0891619i	−0.00720423	−	0.00367074i
$591$	−8.45724	−	16.5983i	−0.347884	−	0.682762i
$592$	−8.48518	+	1.34392i	−0.348739	+	0.0552348i
$593$	−24.7086	−	24.7086i	−1.01466	−	1.01466i	−0.999891	−	0.0147704i	$-0.995298\pi$
$593$	−24.7086	−	24.7086i	−1.01466	−	1.01466i	−0.0147704	−	0.999891i	$-0.504702\pi$
$594$	6.14124	−	4.70091i	0.251978	−	0.192881i
$595$			2.44030i			0.100042i
$596$	10.2232	+	64.5465i	0.418757	+	2.64393i
$597$	19.7298	+	6.41059i	0.807485	+	0.262368i
$598$	−0.614439	−	31.2743i	−0.0251263	−	1.27890i
$599$	−32.1211	+	23.3373i	−1.31243	+	0.953537i	−0.312438	+	0.949938i	$0.601146\pi$
$599$	−32.1211	+	23.3373i	−1.31243	+	0.953537i	−0.999994	+	0.00359883i	$0.998854\pi$
$600$	2.50380	−	15.8083i	0.102217	−	0.645373i
$601$	−34.2531	+	11.1295i	−1.39721	+	0.453982i	−0.908288	−	0.418345i	$-0.862610\pi$
$601$	−34.2531	+	11.1295i	−1.39721	+	0.453982i	−0.488924	+	0.872326i	$0.662610\pi$
$602$	−17.2590	+	53.1179i	−0.703426	+	2.16492i
$603$	−1.42023	−	8.96697i	−0.0578362	−	0.365163i
$604$	0.882457	−	0.882457i	0.0359067	−	0.0359067i
$605$	4.76637	+	2.13553i	0.193781	+	0.0868216i
$606$	−4.58172	+	4.58172i	−0.186120	+	0.186120i
$607$	17.1520	−	23.6077i	0.696179	−	0.958208i	−0.303807	−	0.952734i	$-0.598258\pi$
$607$	17.1520	−	23.6077i	0.696179	−	0.958208i	0.999985	−	0.00547375i	$-0.00174236\pi$
$608$	26.7411	+	8.68870i	1.08449	+	0.352374i
$609$	19.7548	+	10.0656i	0.800505	+	0.407878i
$610$	−8.31011	−	11.4379i	−0.336467	−	0.463107i
$611$	0.402874	+	1.16176i	0.0162985	+	0.0469996i
$612$	−7.05304	+	2.29167i	−0.285102	+	0.0926353i
$613$	11.7475	+	23.0557i	0.474476	+	0.931211i	0.996912	+	0.0785324i	$0.0250234\pi$
$613$	11.7475	+	23.0557i	0.474476	+	0.931211i	−0.522436	+	0.852679i	$0.674977\pi$
$614$	7.52852	+	5.46979i	0.303826	+	0.220743i
$615$	0.873737			0.0352325
$616$	−3.48804	+	26.2565i	−0.140537	+	1.05790i
$617$	9.68220	+	9.68220i	0.389791	+	0.389791i	0.874613	−	0.484822i	$-0.161116\pi$
$617$	9.68220	+	9.68220i	0.389791	+	0.389791i	−0.484822	+	0.874613i	$0.661116\pi$
$618$	3.47085	+	21.9141i	0.139618	+	0.881514i
$619$	−4.97539	−	9.76474i	−0.199978	−	0.392478i	0.769139	−	0.639082i	$-0.220685\pi$
$619$	−4.97539	−	9.76474i	−0.199978	−	0.392478i	−0.969116	+	0.246604i	$0.920685\pi$
$620$	0.632963	+	1.94806i	0.0254204	+	0.0782360i
$621$	−2.18683	−	3.00992i	−0.0877546	−	0.120784i
$622$	67.3882	+	10.6732i	2.70202	+	0.427958i
$623$	−2.26066	−	6.95759i	−0.0905714	−	0.278750i
$624$	0.596970	+	3.34274i	0.0238979	+	0.133817i
$625$	17.5307	+	12.7368i	0.701229	+	0.509472i
$626$	40.8423	−	40.8423i	1.63239	−	1.63239i
$627$	20.6783	−	0.517227i	0.825811	−	0.0206560i
$628$		−	50.5046i		−	2.01535i
$629$	−19.4370	+	3.07852i	−0.775006	+	0.122749i
$630$	2.35022	−	1.19750i	0.0936350	−	0.0477094i
$631$	−20.0268	−	10.2042i	−0.797256	−	0.406222i	0.00739341	−	0.999973i	$-0.497647\pi$
$631$	−20.0268	−	10.2042i	−0.797256	−	0.406222i	−0.804649	+	0.593751i	$0.797647\pi$
$632$	−3.93454	+	24.8417i	−0.156508	+	0.988150i
$633$	−3.63461	−	5.00261i	−0.144463	−	0.198836i
$634$	−16.1521	−	49.7112i	−0.641483	−	1.97428i
$635$	−2.53117	+	1.28970i	−0.100447	+	0.0511801i
$636$	−3.47148	+	4.77809i	−0.137653	+	0.189464i
$637$	2.25108	+	4.21138i	0.0891911	+	0.166861i
$638$	−67.8754	+	23.9464i	−2.68721	+	0.948048i
$639$	−7.10471	−	7.10471i	−0.281058	−	0.281058i
$640$	−5.55103	+	7.64034i	−0.219424	+	0.302011i
$641$	28.8716	+	9.38094i	1.14036	+	0.370525i	0.817504	−	0.575924i	$-0.195357\pi$
$641$	28.8716	+	9.38094i	1.14036	+	0.370525i	0.322855	+	0.946448i	$0.395357\pi$
$642$	14.9417	−	29.3247i	0.589700	−	1.15735i
$643$	12.2081	+	1.93358i	0.481442	+	0.0762529i	0.392438	−	0.919778i	$-0.371632\pi$
$643$	12.2081	+	1.93358i	0.481442	+	0.0762529i	0.0890037	+	0.996031i	$0.471632\pi$
$644$	30.0936	+	4.76636i	1.18585	+	0.187821i
$645$	−2.16717	+	4.25331i	−0.0853323	+	0.167474i
$646$	−29.8388	−	9.69520i	−1.17399	−	0.381453i
$647$	−2.43185	+	3.34716i	−0.0956061	+	0.131590i	−0.854140	−	0.520043i	$-0.825916\pi$
$647$	−2.43185	+	3.34716i	−0.0956061	+	0.131590i	0.758534	+	0.651633i	$0.225916\pi$
$648$	2.37038	+	2.37038i	0.0931175	+	0.0931175i
$649$	−0.484451	−	0.333791i	−0.0190164	−	0.0131024i
$650$	−38.4143	−	11.6525i	−1.50673	−	0.457048i
$651$	1.75731	−	2.41872i	0.0688743	−	0.0947973i
$652$	22.8449	−	11.6400i	0.894674	−	0.455859i
$653$	9.78811	+	30.1247i	0.383038	+	1.17887i	0.937893	+	0.346923i	$0.112774\pi$
$653$	9.78811	+	30.1247i	0.383038	+	1.17887i	−0.554855	+	0.831947i	$0.687226\pi$
$654$	9.92437	+	13.6597i	0.388074	+	0.534137i
$655$	−1.02090	+	6.44573i	−0.0398900	+	0.251856i
$656$	−1.54415	−	0.786786i	−0.0602891	−	0.0307188i
$657$	−6.02700	+	3.07091i	−0.235136	+	0.119808i
$658$	−1.87124	+	0.296375i	−0.0729485	+	0.0115539i
$659$		−	41.4121i		−	1.61319i	−0.591107	−	0.806593i	$-0.701309\pi$
$659$		−	41.4121i		−	1.61319i	0.591107	−	0.806593i	$-0.298691\pi$
$660$	−1.54357	+	5.18865i	−0.0600832	+	0.201968i
$661$	14.5614	−	14.5614i	0.566371	−	0.566371i	−0.364739	−	0.931110i	$-0.618842\pi$
$661$	14.5614	−	14.5614i	0.566371	−	0.566371i	0.931110	+	0.364739i	$0.118842\pi$
$662$	−21.7056	−	15.7700i	−0.843610	−	0.612919i
$663$	1.36748	+	7.65724i	0.0531086	+	0.297382i
$664$	7.29531	+	22.4526i	0.283113	+	0.871332i
$665$	6.96785	+	1.10360i	0.270202	+	0.0427958i
$666$	12.5030	+	17.2089i	0.484481	+	0.666831i
$667$	10.6996	+	32.9299i	0.414289	+	1.27505i
$668$	−18.4522	−	36.2144i	−0.713936	−	1.40118i
$669$	−0.0222860	−	0.140708i	−0.000861628	−	0.00544010i
$670$	7.10777	+	7.10777i	0.274597	+	0.274597i
$671$	−20.1644	−	37.2423i	−0.778439	−	1.43772i
$672$	10.7405			0.414323
$673$	−19.2626	−	13.9951i	−0.742518	−	0.539471i	0.150981	−	0.988537i	$-0.451757\pi$
$673$	−19.2626	−	13.9951i	−0.742518	−	0.539471i	−0.893499	+	0.449066i	$0.851757\pi$
$674$	−1.98242	−	3.89071i	−0.0763598	−	0.149864i
$675$	−4.54087	+	1.47542i	−0.174778	+	0.0567889i
$676$	44.6540	−	1.75529i	1.71746	−	0.0675113i
$677$	−28.1358	−	38.7256i	−1.08135	−	1.48835i	−0.858030	−	0.513599i	$-0.828312\pi$
$677$	−28.1358	−	38.7256i	−1.08135	−	1.48835i	−0.223316	−	0.974746i	$-0.571688\pi$
$678$	−28.9921	−	14.7722i	−1.11344	−	0.567324i
$679$	30.4922	+	9.90752i	1.17018	+	0.380216i
$680$	2.01832	−	2.77798i	0.0773990	−	0.106531i
$681$	−3.65154	+	3.65154i	−0.139927	+	0.139927i
$682$	1.75752	+	9.54515i	0.0672989	+	0.365503i
$683$	10.8483	−	10.8483i	0.415098	−	0.415098i	−0.468412	−	0.883510i	$-0.655174\pi$
$683$	10.8483	−	10.8483i	0.415098	−	0.415098i	0.883510	+	0.468412i	$0.155174\pi$
$684$	3.35381	+	21.1751i	0.128236	+	0.809652i
$685$	−0.469683	+	1.44554i	−0.0179457	+	0.0552311i
$686$	−43.9813	+	14.2904i	−1.67921	+	0.545610i
$687$	3.14521	−	19.8581i	0.119997	−	0.757632i
$688$	7.66007	−	5.56537i	0.292038	−	0.212178i
$689$	4.46547	+	4.29338i	0.170121	+	0.163565i
$690$	3.91765	+	1.27292i	0.149143	+	0.0484593i
$691$	−6.39192	−	40.3570i	−0.243160	−	1.53525i	−0.743093	−	0.669188i	$-0.766642\pi$
$691$	−6.39192	−	40.3570i	−0.243160	−	1.53525i	0.499933	−	0.866064i	$-0.333358\pi$
$692$			30.8850i			1.17407i
$693$	7.45123	−	2.62879i	0.283049	−	0.0998596i
$694$	−11.9039	−	11.9039i	−0.451867	−	0.451867i
$695$	9.17448	−	1.45309i	0.348008	−	0.0551190i
$696$	−14.1634	−	27.7972i	−0.536862	−	1.05365i
$697$	−3.53720	−	1.80229i	−0.133981	−	0.0682667i
$698$	20.1901	−	14.6690i	0.764207	−	0.555229i
$699$	7.42595	−	5.39527i	0.280875	−	0.204068i
$700$	17.7516	−	34.8395i	0.670947	−	1.31681i
$701$	12.3444	−	37.9922i	0.466242	−	1.43494i	−0.391172	−	0.920318i	$-0.627930\pi$
$701$	12.3444	−	37.9922i	0.466242	−	1.43494i	0.857414	−	0.514627i	$-0.172070\pi$
$702$	6.70354	−	5.07455i	0.253009	−	0.191526i
$703$			56.8914i			2.14570i
$704$	−28.3362	+	29.7901i	−1.06796	+	1.12276i
$705$	−0.161928			−0.00609856
$706$	−30.2214	−	21.9572i	−1.13740	−	0.826369i
$707$	−5.89830	+	3.00534i	−0.221829	+	0.113027i
$708$	0.276827	−	0.543305i	0.0104038	−	0.0204186i
$709$	−0.990761	+	6.25542i	−0.0372088	+	0.234927i	−0.999283	−	0.0378607i	$-0.987946\pi$
$709$	−0.990761	+	6.25542i	−0.0372088	+	0.234927i	0.962074	+	0.272788i	$0.0879457\pi$
$710$	10.9876	+	1.74027i	0.412358	+	0.0653111i
$711$	7.13566	−	2.31852i	0.267608	−	0.0869512i
$712$	−3.18100	+	9.79011i	−0.119213	+	0.366900i
$713$	4.61148	−	0.730387i	0.172701	−	0.0273532i
$714$	−11.9847			−0.448514
$715$	5.16907	+	2.34932i	0.193312	+	0.0878597i
$716$	36.7246			1.37246
$717$	1.08079	−	0.171181i	0.0403629	−	0.00639286i
$718$	12.2148	−	37.5932i	0.455852	−	1.40297i
$719$	4.80712	−	1.56193i	0.179275	−	0.0582501i	−0.218004	−	0.975948i	$-0.569955\pi$
$719$	4.80712	−	1.56193i	0.179275	−	0.0582501i	0.397279	+	0.917698i	$0.369955\pi$
$720$	−0.441660	−	0.0699521i	−0.0164597	−	0.00260696i
$721$	−3.54600	+	22.3886i	−0.132060	+	0.833793i
$722$	−21.0631	+	41.3386i	−0.783886	+	1.53846i
$723$	−13.0814	+	6.66530i	−0.486502	+	0.247885i
$724$	28.2720	+	20.5408i	1.05072	+	0.763394i
$725$	44.4344			1.65025
$726$	−10.4879	+	23.4084i	−0.389242	+	0.868765i
$727$			42.4380i			1.57394i	0.616991	+	0.786970i	$0.288351\pi$
$727$			42.4380i			1.57394i	−0.616991	+	0.786970i	$0.711649\pi$
$728$	−3.94494	+	28.5230i	−0.146209	+	1.05713i
$729$	0.309017	−	0.951057i	0.0114451	−	0.0352243i
$730$	3.40009	−	6.67305i	0.125843	−	0.246980i
$731$	17.5470	−	12.7486i	0.648998	−	0.471525i
$732$	35.5120	−	25.8010i	1.31256	−	0.953633i
$733$	14.5364	+	7.40666i	0.536914	+	0.273571i	0.701351	−	0.712816i	$-0.252581\pi$
$733$	14.5364	+	7.40666i	0.536914	+	0.273571i	−0.164437	+	0.986388i	$0.552581\pi$
$734$	30.8332	+	60.5135i	1.13807	+	2.23360i
$735$	−0.621105	+	0.0983734i	−0.0229098	+	0.00362856i
$736$	11.8604	+	11.8604i	0.437182	+	0.437182i
$737$	18.3023	+	23.9100i	0.674173	+	0.880735i
$738$			4.29105i			0.157956i
$739$	2.17849	+	13.7544i	0.0801370	+	0.505965i	0.994808	+	0.101767i	$0.0324495\pi$
$739$	2.17849	+	13.7544i	0.0801370	+	0.505965i	−0.914671	+	0.404198i	$0.867551\pi$
$740$	−14.1603	−	4.60095i	−0.520541	−	0.169134i
$741$	22.4824	−	0.441706i	0.825910	−	0.0162265i
$742$	−7.72164	+	5.61010i	−0.283470	+	0.205953i
$743$	6.34325	−	40.0497i	0.232711	−	1.46928i	−0.543819	−	0.839203i	$-0.683022\pi$
$743$	6.34325	−	40.0497i	0.232711	−	1.46928i	0.776530	−	0.630080i	$-0.216978\pi$
$744$	−4.00095	+	1.29999i	−0.146682	+	0.0476599i
$745$	−2.78935	+	8.58473i	−0.102194	+	0.314520i
$746$	4.55691	+	28.7712i	0.166840	+	1.05339i
$747$	4.97981	−	4.97981i	0.182202	−	0.182202i
$748$	16.9517	−	17.8215i	0.619817	−	0.651620i
$749$	23.7760	−	23.7760i	0.868758	−	0.868758i
$750$	6.36119	−	8.75543i	0.232278	−	0.319703i
$751$	19.3521	+	6.28787i	0.706168	+	0.229448i	0.640016	−	0.768362i	$-0.278928\pi$
$751$	19.3521	+	6.28787i	0.706168	+	0.229448i	0.0661519	+	0.997810i	$0.478928\pi$
$752$	0.286175	+	0.145813i	0.0104357	+	0.00531726i
$753$	0.592294	+	0.815223i	0.0215844	+	0.0297084i
$754$	−73.9269	+	25.6364i	−2.69226	+	0.933622i
$755$	0.163939	−	0.0532670i	0.00596635	−	0.00193859i
$756$	3.71796	+	7.29690i	0.135221	+	0.265386i
$757$	6.66033	+	4.83901i	0.242074	+	0.175877i	0.702207	−	0.711973i	$-0.252198\pi$
$757$	6.66033	+	4.83901i	0.242074	+	0.175877i	−0.460133	+	0.887850i	$0.652198\pi$
$758$	−35.6319			−1.29421
$759$	11.1311	+	5.32529i	0.404034	+	0.193296i
$760$	−7.01928	−	7.01928i	−0.254616	−	0.254616i
$761$	−5.78683	−	36.5366i	−0.209772	−	1.32445i	−0.837679	−	0.546162i	$-0.816088\pi$
$761$	−5.78683	−	36.5366i	−0.209772	−	1.32445i	0.627907	−	0.778288i	$-0.283912\pi$
$762$	−6.33389	−	12.4310i	−0.229453	−	0.450326i
$763$	5.33051	+	16.4056i	0.192978	+	0.593924i
$764$	21.0317	+	28.9477i	0.760901	+	1.04729i
$765$	−1.01171	−	0.160240i	−0.0365786	−	0.00579348i
$766$	−10.0822	−	31.0299i	−0.364286	−	1.12116i
$767$	−0.524700	−	0.365688i	−0.0189458	−	0.0132042i
$768$	−17.4650	−	12.6891i	−0.630214	−	0.457877i
$769$	−17.6327	+	17.6327i	−0.635852	+	0.635852i	−0.949530	−	0.313677i	$-0.898439\pi$
$769$	−17.6327	+	17.6327i	−0.635852	+	0.635852i	0.313677	+	0.949530i	$0.398439\pi$
$770$	−4.96354	+	7.20390i	−0.178874	+	0.259610i
$771$			2.86953i			0.103344i
$772$	−58.9823	+	9.34187i	−2.12282	+	0.336221i
$773$	7.32078	−	3.73012i	0.263310	−	0.134163i	−0.317352	−	0.948308i	$-0.602794\pi$
$773$	7.32078	−	3.73012i	0.263310	−	0.134163i	0.580662	+	0.814145i	$0.302794\pi$
$774$	−20.8886	−	10.6433i	−0.750827	−	0.382565i
$775$	0.937322	−	5.91802i	0.0336696	−	0.212582i
$776$	−26.5173	−	36.4980i	−0.951916	−	1.31020i
$777$	6.71553	+	20.6683i	0.240918	+	0.741470i
$778$	63.2933	−	32.2495i	2.26917	−	1.15620i
$779$	−6.74580	+	9.28480i	−0.241693	+	0.332663i
$780$	−1.70826	+	5.63158i	−0.0611656	+	0.201643i
$781$	31.9406	+	9.50198i	1.14293	+	0.340008i
$782$	−13.2343	−	13.2343i	−0.473259	−	0.473259i
$783$	−5.47023	+	7.52912i	−0.195490	+	0.269069i
$784$	1.18626	+	0.385440i	0.0423665	+	0.0137657i
$785$	3.16698	−	6.21555i	0.113034	−	0.221843i
$786$	−31.6559	−	5.01381i	−1.12913	−	0.178837i
$787$	−4.35336	−	0.689504i	−0.155180	−	0.0245782i	0.0783608	−	0.996925i	$-0.475031\pi$
$787$	−4.35336	−	0.689504i	−0.155180	−	0.0245782i	−0.233541	+	0.972347i	$0.575031\pi$
$788$	−29.0724	+	57.0578i	−1.03566	+	2.03260i
$789$	−23.4476	−	7.61857i	−0.834755	−	0.271228i
$790$	−4.88280	+	6.72060i	−0.173722	+	0.239108i
$791$	−23.5064	−	23.5064i	−0.835793	−	0.835793i
$792$	−10.6565	−	3.17020i	−0.378663	−	0.112648i
$793$	−21.7036	−	40.6036i	−0.770717	−	1.44188i
$794$	7.95521	−	10.9494i	0.282320	−	0.388580i
$795$	−0.726850	+	0.370349i	−0.0257787	+	0.0131349i
$796$	−22.0369	−	67.8225i	−0.781076	−	2.40391i
$797$	11.1287	+	15.3173i	0.394198	+	0.542568i	0.959276	−	0.282470i	$-0.0911538\pi$
$797$	11.1287	+	15.3173i	0.394198	+	0.542568i	−0.565078	+	0.825038i	$0.691154\pi$
$798$	−5.41994	+	34.2201i	−0.191864	+	1.21138i
$799$	0.655542	+	0.334015i	0.0231914	+	0.0118166i
$800$	19.1793	−	9.77233i	0.678090	−	0.345504i
$801$	3.03297	−	0.480374i	0.107165	−	0.0169732i
$802$			1.30347i			0.0460273i
$803$	12.7287	−	18.4740i	0.449187	−	0.651932i
$804$	−22.0680	+	22.0680i	−0.778279	+	0.778279i
$805$	3.40471	+	2.47366i	0.120000	+	0.0871852i
$806$	1.85494	+	10.3868i	0.0653375	+	0.365858i
$807$	0.353208	+	1.08706i	0.0124335	+	0.0382664i
$808$	9.20014	+	1.45716i	0.323660	+	0.0512627i
$809$	29.3824	+	40.4413i	1.03303	+	1.42184i	0.902649	+	0.430378i	$0.141620\pi$
$809$	29.3824	+	40.4413i	1.03303	+	1.42184i	0.130380	+	0.991464i	$0.458380\pi$
$810$	0.342141	+	1.05300i	0.0120216	+	0.0369987i
$811$	−12.1875	−	23.9193i	−0.427961	−	0.839922i	−0.999809	−	0.0195615i	$-0.993773\pi$
$811$	−12.1875	−	23.9193i	−0.427961	−	0.839922i	0.571847	−	0.820360i	$-0.306227\pi$
$812$	−11.9228	−	75.2773i	−0.418407	−	2.64172i
$813$	−22.7554	−	22.7554i	−0.798068	−	0.798068i
$814$	−63.6409	−	30.4468i	−2.23061	−	1.06716i
$815$	3.54140			0.124050
$816$	1.64371	+	1.19422i	0.0575412	+	0.0418061i
$817$	−28.4661	−	55.8678i	−0.995902	−	1.95457i
$818$	−25.6921	+	8.34785i	−0.898302	+	0.291876i
$819$	8.11555	−	2.81431i	0.283580	−	0.0983401i
$820$	−1.76544	−	2.42991i	−0.0616517	−	0.0848563i
$821$	25.4515	+	12.9682i	0.888262	+	0.452592i	0.837701	−	0.546129i	$-0.183899\pi$
$821$	25.4515	+	12.9682i	0.888262	+	0.452592i	0.0505607	+	0.998721i	$0.483899\pi$
$822$	−7.09924	−	2.30668i	−0.247614	−	0.0804548i
$823$	−26.8182	+	36.9121i	−0.934825	+	1.28668i	0.0231226	+	0.999733i	$0.492639\pi$
$823$	−26.8182	+	36.9121i	−0.934825	+	1.28668i	−0.957948	+	0.286944i	$0.907361\pi$
$824$	22.5538	−	22.5538i	0.785699	−	0.785699i
$825$	10.9138	−	11.4738i	0.379971	−	0.399467i
$826$	0.696792	−	0.696792i	0.0242445	−	0.0242445i
$827$	0.623742	+	3.93815i	0.0216896	+	0.136943i	0.996157	−	0.0875866i	$-0.0279155\pi$
$827$	0.623742	+	3.93815i	0.0216896	+	0.136943i	−0.974467	+	0.224530i	$0.927915\pi$
$828$	−3.95214	+	12.1634i	−0.137346	+	0.422708i
$829$	33.9235	−	11.0224i	1.17821	−	0.382825i	0.346510	−	0.938046i	$-0.387367\pi$
$829$	33.9235	−	11.0224i	1.17821	−	0.382825i	0.831702	+	0.555222i	$0.187367\pi$
$830$	−1.21978	+	7.70141i	−0.0423393	+	0.267320i
$831$	13.7239	−	9.97099i	0.476077	−	0.345890i
$832$	−30.9779	+	32.2195i	−1.07397	+	1.11701i
$833$	2.71737	+	0.882929i	0.0941514	+	0.0305917i
$834$	7.13636	+	45.0572i	0.247112	+	1.56020i
$835$		−	5.61395i		−	0.194279i
$836$	−43.2201	−	56.4624i	−1.49480	−	1.95279i
$837$	0.887378	+	0.887378i	0.0306723	+	0.0306723i
$838$	75.3049	−	11.9271i	2.60137	−	0.412016i
$839$	2.08709	+	4.09615i	0.0720545	+	0.141415i	0.924224	−	0.381851i	$-0.124713\pi$
$839$	2.08709	+	4.09615i	0.0720545	+	0.141415i	−0.852169	+	0.523266i	$0.824713\pi$
$840$	−3.37862	−	1.72149i	−0.116574	−	0.0593972i
$841$	46.6083	−	33.8629i	1.60718	−	1.16769i
$842$	21.7099	−	15.7731i	0.748171	−	0.543578i
$843$	−6.42351	+	12.6069i	−0.221238	+	0.434203i
$844$	−6.56861	+	20.2161i	−0.226101	+	0.695867i
$845$	5.60559	+	2.58409i	0.192838	+	0.0888953i
$846$		−	0.795251i		−	0.0273413i
$847$	−17.5807	+	19.4336i	−0.604081	+	0.667745i
$848$	1.61805			0.0555642
$849$	1.76135	+	1.27970i	0.0604494	+	0.0439191i
$850$	−21.4010	+	10.9044i	−0.734049	+	0.374016i
$851$	−15.4076	+	30.2392i	−0.528167	+	1.03659i
$852$	−5.40314	+	34.1141i	−0.185108	+	1.16873i
$853$	−27.9021	−	4.41926i	−0.955351	−	0.151313i	−0.340753	−	0.940153i	$-0.610682\pi$
$853$	−27.9021	−	4.41926i	−0.955351	−	0.151313i	−0.614598	+	0.788840i	$0.710682\pi$
$854$	67.4652	−	21.9208i	2.30861	−	0.750113i
$855$	−0.915074	+	2.81631i	−0.0312949	+	0.0963157i
$856$	−46.7308	+	7.40143i	−1.59722	+	0.252976i
$857$	−14.7274			−0.503079			−0.251540	−	0.967847i	$-0.580937\pi$
$857$	−14.7274			−0.503079			−0.251540	+	0.967847i	$0.580937\pi$
$858$	−11.5379	+	25.3860i	−0.393896	+	0.866665i
$859$	0.967623			0.0330149			0.0165074	−	0.999864i	$-0.494745\pi$
$859$	0.967623			0.0330149			0.0165074	+	0.999864i	$0.494745\pi$
$860$	16.2076	−	2.56703i	0.552675	−	0.0875351i
$861$	−1.35472	+	4.16939i	−0.0461686	+	0.142092i
$862$	−58.5897	+	19.0369i	−1.99557	+	0.648401i
$863$	−35.5857	−	5.63622i	−1.21135	−	0.191859i	−0.482107	−	0.876112i	$-0.660128\pi$
$863$	−35.5857	−	5.63622i	−1.21135	−	0.191859i	−0.729245	+	0.684253i	$0.760128\pi$
$864$	−0.705263	+	4.45286i	−0.0239935	+	0.151489i
$865$	−1.93670	+	3.80099i	−0.0658497	+	0.129237i
$866$	0.915528	−	0.466485i	0.0311109	−	0.0158518i
$867$	−9.98805	−	7.25674i	−0.339212	−	0.246452i
$868$	−10.2774			−0.348836
$869$	−17.1503	+	18.0303i	−0.581785	+	0.611636i
$870$		−	10.3041i		−	0.349341i
$871$	19.7570	+	26.0992i	0.669439	+	0.884338i
$872$	7.50063	−	23.0846i	0.254003	−	0.781742i
$873$	−6.10976	+	11.9911i	−0.206784	+	0.405836i
$874$	−43.7735	+	31.8033i	−1.48066	+	1.07576i
$875$	8.94499	−	6.49891i	0.302396	−	0.219703i
$876$	20.7183	+	10.5565i	0.700006	+	0.356671i
$877$	4.94606	+	9.70720i	0.167017	+	0.327789i	0.959312	−	0.282350i	$-0.0911138\pi$
$877$	4.94606	+	9.70720i	0.167017	+	0.327789i	−0.792295	+	0.610138i	$0.791114\pi$
$878$	−71.5423	+	11.3312i	−2.41444	+	0.382409i
$879$	−12.1772	−	12.1772i	−0.410728	−	0.410728i
$880$	1.39859	−	0.493424i	0.0471466	−	0.0166333i
$881$			35.4071i			1.19290i	0.802651	+	0.596449i	$0.203422\pi$
$881$			35.4071i			1.19290i	−0.802651	+	0.596449i	$0.796578\pi$
$882$	−0.483126	−	3.05034i	−0.0162677	−	0.102710i
$883$	12.8800	+	4.18495i	0.433445	+	0.140835i	0.517609	−	0.855617i	$-0.326822\pi$
$883$	12.8800	+	4.18495i	0.433445	+	0.140835i	−0.0841642	+	0.996452i	$0.526822\pi$
$884$	18.5321	−	19.2749i	0.623303	−	0.648286i
$885$	0.0681377	−	0.0495050i	0.00229042	−	0.00166409i
$886$	6.78084	−	42.8125i	0.227807	−	1.43831i
$887$	−3.80483	+	1.23626i	−0.127754	+	0.0415097i	−0.372196	−	0.928154i	$-0.621395\pi$
$887$	−3.80483	+	1.23626i	−0.127754	+	0.0415097i	0.244442	+	0.969664i	$0.421395\pi$
$888$	9.44949	−	29.0825i	0.317104	−	0.975946i
$889$	−2.22976	−	14.0782i	−0.0747839	−	0.472167i
$890$	−2.40411	+	2.40411i	−0.0805861	+	0.0805861i
$891$	0.600584	+	3.26179i	0.0201203	+	0.109274i
$892$	−0.346288	+	0.346288i	−0.0115946	+	0.0115946i
$893$	1.25019	−	1.72073i	0.0418359	−	0.0575821i
$894$	−42.1609	−	13.6989i	−1.41007	−	0.458159i
$895$	4.51966	+	2.30288i	0.151076	+	0.0769769i
$896$	−27.8522	−	38.3352i	−0.930476	−	1.28069i
$897$	12.0696	+	5.85402i	0.402991	+	0.195460i
$898$	−61.5287	+	19.9919i	−2.05324	+	0.667138i
$899$	−5.30221	−	10.4062i	−0.176839	−	0.347065i
$900$	13.2783	+	9.64726i	0.442610	+	0.321575i
$901$	3.70648			0.123481
$902$	−6.77617	−	12.5151i	−0.225622	−	0.416707i
$903$	−16.9362	−	16.9362i	−0.563603	−	0.563603i
$904$	7.31750	+	46.2009i	0.243376	+	1.53662i
$905$	2.19136	+	4.30079i	0.0728433	+	0.142963i
$906$	0.261602	+	0.805129i	0.00869115	+	0.0267486i
$907$	−2.39232	−	3.29275i	−0.0794358	−	0.109334i	0.767450	−	0.641109i	$-0.221525\pi$
$907$	−2.39232	−	3.29275i	−0.0794358	−	0.109334i	−0.846886	+	0.531775i	$0.821525\pi$
$908$	17.5333	+	2.77700i	0.581862	+	0.0921580i
$909$	−0.858664	−	2.64270i	−0.0284801	−	0.0876527i
$910$	−5.43787	+	7.80241i	−0.180264	+	0.258647i
$911$	−15.9464	−	11.5857i	−0.528327	−	0.383852i	0.291404	−	0.956600i	$-0.405877\pi$
$911$	−15.9464	−	11.5857i	−0.528327	−	0.383852i	−0.819732	+	0.572748i	$0.805877\pi$
$912$	4.15325	−	4.15325i	0.137528	−	0.137528i
$913$	−6.66010	+	22.3877i	−0.220417	+	0.740925i
$914$		−	95.8133i		−	3.16922i
$915$	5.98833	−	0.948458i	0.197968	−	0.0313550i
$916$	−61.5815	+	31.3773i	−2.03471	+	1.03674i
$917$	−29.1755	−	14.8657i	−0.963460	−	0.490908i
$918$	0.786960	−	4.96867i	0.0259736	−	0.163991i
$919$	2.17451	+	2.99296i	0.0717306	+	0.0987286i	0.843375	−	0.537326i	$-0.180565\pi$
$919$	2.17451	+	2.99296i	0.0717306	+	0.0987286i	−0.771644	+	0.636054i	$0.780565\pi$
$920$	−1.82992	−	5.63193i	−0.0603308	−	0.185679i
$921$	−3.55574	+	1.81174i	−0.117166	+	0.0596989i
$922$	8.53811	−	11.7517i	0.281188	−	0.387021i
$923$	34.6672	+	10.5158i	1.14109	+	0.346133i
$924$	−22.3665	−	15.4107i	−0.735803	−	0.506974i
$925$	30.7971	+	30.7971i	1.01260	+	1.01260i
$926$	24.6791	−	33.9678i	0.811005	−	1.11625i
$927$	−9.04914	−	2.94024i	−0.297213	−	0.0965703i
$928$	19.0481	−	37.3840i	0.625285	−	1.22719i
$929$	24.5938	+	3.89528i	0.806897	+	0.127800i	0.546237	−	0.837631i	$-0.316060\pi$
$929$	24.5938	+	3.89528i	0.806897	+	0.127800i	0.260660	+	0.965431i	$0.416060\pi$
$930$	−1.37235	−	0.217360i	−0.0450013	−	0.00712750i
$931$	3.74996	−	7.35970i	0.122900	−	0.241205i
$932$	−30.0091	−	9.75055i	−0.982981	−	0.319390i
$933$	−17.1981	+	23.6711i	−0.563040	+	0.774958i
$934$	8.89484	+	8.89484i	0.291048	+	0.291048i
$935$	3.20376	−	1.13029i	0.104774	−	0.0369644i
$936$	−11.5662	−	3.50846i	−0.378054	−	0.114677i
$937$	21.4961	−	29.5869i	0.702248	−	0.966561i	−0.297682	−	0.954665i	$-0.596213\pi$
$937$	21.4961	−	29.5869i	0.702248	−	0.966561i	0.999929	−	0.0118958i	$-0.00378663\pi$
$938$	−44.9381	+	22.8971i	−1.46728	+	0.747617i
$939$	7.65430	+	23.5575i	0.249788	+	0.768770i
$940$	0.327184	+	0.450331i	0.0106716	+	0.0146882i
$941$	−8.07135	+	50.9605i	−0.263119	+	1.66126i	0.402836	+	0.915272i	$0.368025\pi$
$941$	−8.07135	+	50.9605i	−0.263119	+	1.66126i	−0.665954	+	0.745993i	$0.731975\pi$
$942$	30.5255	+	15.5535i	0.994574	+	0.506761i
$943$	−6.10013	+	3.10817i	−0.198647	+	0.101216i
$944$	−0.164998	+	0.0261331i	−0.00537023	+	0.000850561i
$945$			1.13116i			0.0367967i
$946$	77.7302	−	1.94427i	2.52723	−	0.0632136i
$947$	16.4014	−	16.4014i	0.532974	−	0.532974i	−0.388482	−	0.921456i	$-0.627000\pi$
$947$	16.4014	−	16.4014i	0.532974	−	0.532974i	0.921456	+	0.388482i	$0.127000\pi$
$948$	−20.8659	−	15.1600i	−0.677694	−	0.492374i
$949$	13.9451	−	20.0088i	0.452677	−	0.649514i
$950$	21.4571	+	66.0383i	0.696162	+	2.14257i
$951$	22.1393	+	3.50653i	0.717917	+	0.113707i
$952$	10.1269	+	13.9384i	0.328214	+	0.451747i
$953$	−6.59118	−	20.2856i	−0.213509	−	0.657114i	−0.999256	−	0.0385656i	$-0.987721\pi$
$953$	−6.59118	−	20.2856i	−0.213509	−	0.657114i	0.785747	−	0.618548i	$-0.212279\pi$
$954$	−1.81884	−	3.56967i	−0.0588870	−	0.115572i
$955$	0.773136	+	4.88139i	0.0250181	+	0.157958i
$956$	−2.65987	−	2.65987i	−0.0860262	−	0.0860262i
$957$	4.06471	−	30.5974i	0.131394	−	0.989073i
$958$	−94.4853			−3.05268
$959$	−6.16972	−	4.48257i	−0.199231	−	0.144750i
$960$	−2.67216	−	5.24442i	−0.0862437	−	0.169263i
$961$	27.9850	−	9.09286i	0.902740	−	0.293318i
$962$	−69.0065	−	33.4697i	−2.22486	−	1.07911i
$963$	8.29599	+	11.4184i	0.267334	+	0.367954i
$964$	44.9683	+	22.9125i	1.44833	+	0.737961i
$965$	−7.84468	−	2.54889i	−0.252529	−	0.0820517i
$966$	−12.1485	+	16.7210i	−0.390872	+	0.537990i
$967$	11.0424	−	11.0424i	0.355100	−	0.355100i	−0.506903	−	0.862003i	$-0.669210\pi$
$967$	11.0424	−	11.0424i	0.355100	−	0.355100i	0.862003	+	0.506903i	$0.169210\pi$
$968$	36.0866	−	7.58207i	1.15987	−	0.243697i
$969$	9.51386	−	9.51386i	0.305629	−	0.305629i
$970$	−2.33095	−	14.7170i	−0.0748422	−	0.472535i
$971$	−8.77060	+	26.9931i	−0.281462	+	0.866251i	0.705975	+	0.708237i	$0.250509\pi$
$971$	−8.77060	+	26.9931i	−0.281462	+	0.866251i	−0.987437	+	0.158014i	$0.949491\pi$
$972$	−3.26933	+	1.06227i	−0.104864	+	0.0340723i
$973$	−7.29087	+	46.0327i	−0.233734	+	1.47574i
$974$	−25.1700	+	18.2871i	−0.806500	+	0.585957i
$975$	11.9313	−	12.4095i	0.382108	−	0.397423i
$976$	−11.4372	−	3.71618i	−0.366097	−	0.118952i
$977$	−4.14568	−	26.1748i	−0.132632	−	0.837405i	−0.960864	−	0.277020i	$-0.910653\pi$
$977$	−4.14568	−	26.1748i	−0.132632	−	0.837405i	0.828232	−	0.560385i	$-0.189347\pi$
$978$			17.3923i			0.556146i
$979$	−8.08725	+	6.19051i	−0.258469	+	0.197850i
$980$	1.52856	+	1.52856i	0.0488281	+	0.0488281i
$981$	−7.15157	+	1.13270i	−0.228332	+	0.0361642i
$982$	−25.1063	−	49.2738i	−0.801173	−	1.57239i
$983$	46.5291	+	23.7078i	1.48405	+	0.756160i	0.993346	−	0.115167i	$-0.0367404\pi$
$983$	46.5291	+	23.7078i	1.48405	+	0.756160i	0.490702	+	0.871327i	$0.336740\pi$
$984$	4.99059	−	3.62588i	0.159094	−	0.115589i
$985$	−7.15582	+	5.19901i	−0.228003	+	0.165654i
$986$	−21.2546	+	41.7146i	−0.676886	+	1.32846i
$987$	0.251067	−	0.772704i	0.00799154	−	0.0245954i
$988$	−46.6553	−	61.6323i	−1.48430	−	1.96078i
$989$		−	37.4045i		−	1.18939i
$990$	−2.66071	−	2.53085i	−0.0845629	−	0.0804358i
$991$	−42.3477			−1.34522			−0.672609	−	0.739998i	$-0.734827\pi$
$991$	−42.3477			−1.34522			−0.672609	+	0.739998i	$0.734827\pi$
$992$	−4.57720	−	3.32553i	−0.145326	−	0.105586i
$993$	10.2516	−	5.22345i	0.325325	−	0.165761i
$994$	−25.3405	+	49.7336i	−0.803753	+	1.57745i
$995$	1.54088	−	9.72871i	0.0488491	−	0.308421i
$996$	−23.9111	−	3.78715i	−0.757653	−	0.120000i
$997$	35.3899	−	11.4989i	1.12081	−	0.364174i	0.310734	−	0.950497i	$-0.399425\pi$
$997$	35.3899	−	11.4989i	1.12081	−	0.364174i	0.810077	+	0.586323i	$0.199425\pi$
$998$	4.12593	−	12.6983i	0.130604	−	0.401957i
$999$	−9.00974	+	1.42700i	−0.285056	+	0.0451484i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	429.2.bj.b.73.13	✓	112
11.8	odd	10	inner	429.2.bj.b.151.2	yes	112
13.5	odd	4	inner	429.2.bj.b.304.2	yes	112
143.96	even	20	inner	429.2.bj.b.382.13	yes	112

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
429.2.bj.b.73.13	✓	112	1.1	even	1	trivial
429.2.bj.b.151.2	yes	112	11.8	odd	10	inner
429.2.bj.b.304.2	yes	112	13.5	odd	4	inner
429.2.bj.b.382.13	yes	112	143.96	even	20	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 429 = 3 \cdot 11 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	429.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(2.30315 - 0.364783i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.26933 - 1.06227i) q^{4} +(0.468964 + 0.0742767i) q^{5} +(-0.364783 + 2.30315i) q^{6} +(-1.08156 + 2.12269i) q^{7} +(2.98686 - 1.52188i) q^{8} +(-0.809017 - 0.587785i) q^{9} +O(q^{10})\)	\(q+(2.30315 - 0.364783i) q^{2} +(-0.309017 + 0.951057i) q^{3} +(3.26933 - 1.06227i) q^{4} +(0.468964 + 0.0742767i) q^{5} +(-0.364783 + 2.30315i) q^{6} +(-1.08156 + 2.12269i) q^{7} +(2.98686 - 1.52188i) q^{8} +(-0.809017 - 0.587785i) q^{9} +1.10719 q^{10} +(3.28774 + 0.436760i) q^{11} +3.43758i q^{12} +(3.57155 + 0.493972i) q^{13} +(-1.71668 + 5.28341i) q^{14} +(-0.215559 + 0.423059i) q^{15} +(0.761915 - 0.553563i) q^{16} +(1.74532 - 1.26805i) q^{17} +(-2.07770 - 1.05864i) q^{18} +(-2.83140 - 5.55693i) q^{19} +(1.61210 - 0.255332i) q^{20} +(-1.68457 - 1.68457i) q^{21} +(7.73149 - 0.193388i) q^{22} -3.72046i q^{23} +(0.524404 + 3.31096i) q^{24} +(-4.54087 - 1.47542i) q^{25} +(8.40602 - 0.165151i) q^{26} +(0.809017 - 0.587785i) q^{27} +(-1.28112 + 8.08868i) q^{28} +(-8.85101 + 2.87587i) q^{29} +(-0.342141 + 1.05300i) q^{30} +(0.196316 + 1.23949i) q^{31} +(-3.18789 + 3.18789i) q^{32} +(-1.43135 + 2.99186i) q^{33} +(3.55718 - 3.55718i) q^{34} +(-0.664881 + 0.915130i) q^{35} +(-3.26933 - 1.06227i) q^{36} +(-8.12781 - 4.14132i) q^{37} +(-8.54821 - 11.7656i) q^{38} +(-1.57347 + 3.24410i) q^{39} +(1.51377 - 0.491854i) q^{40} +(-0.835426 - 1.63961i) q^{41} +(-4.49434 - 3.26533i) q^{42} +10.0537 q^{43} +(11.2127 - 2.06455i) q^{44} +(-0.335741 - 0.335741i) q^{45} +(-1.35716 - 8.56879i) q^{46} +(0.154828 + 0.303866i) q^{47} +(0.291026 + 0.895684i) q^{48} +(0.778474 + 1.07148i) q^{49} +(-10.9965 - 1.74168i) q^{50} +(0.666653 + 2.05175i) q^{51} +(12.2013 - 2.17900i) q^{52} +(1.38996 + 1.00986i) q^{53} +(1.64887 - 1.64887i) q^{54} +(1.50939 + 0.449027i) q^{55} +7.98617i q^{56} +(6.15990 - 0.975633i) q^{57} +(-19.3362 + 9.85227i) q^{58} +(-0.158049 - 0.0805298i) q^{59} +(-0.255332 + 1.61210i) q^{60} +(-7.50558 - 10.3305i) q^{61} +(0.904292 + 2.78312i) q^{62} +(2.12269 - 1.08156i) q^{63} +(-7.28644 + 10.0289i) q^{64} +(1.63824 + 0.496938i) q^{65} +(-2.20524 + 7.41284i) q^{66} +(6.41964 + 6.41964i) q^{67} +(4.35902 - 5.99967i) q^{68} +(3.53837 + 1.14969i) q^{69} +(-1.19750 + 2.35022i) q^{70} +(9.92387 + 1.57179i) q^{71} +(-3.31096 - 0.524404i) q^{72} +(3.07091 - 6.02700i) q^{73} +(-20.2303 - 6.57321i) q^{74} +(2.80641 - 3.86270i) q^{75} +(-15.1597 - 15.1597i) q^{76} +(-4.48301 + 6.50646i) q^{77} +(-2.44054 + 8.04564i) q^{78} +(-4.41008 + 6.06996i) q^{79} +(0.398428 - 0.203009i) q^{80} +(0.309017 + 0.951057i) q^{81} +(-2.52222 - 3.47153i) q^{82} +(-1.10169 + 6.95581i) q^{83} +(-7.29690 - 3.71796i) q^{84} +(0.912680 - 0.465034i) q^{85} +(23.1552 - 3.66743i) q^{86} -9.30651i q^{87} +(10.4847 - 3.69901i) q^{88} +(-2.17136 + 2.17136i) q^{89} +(-0.895736 - 0.650791i) q^{90} +(-4.91141 + 7.04703i) q^{91} +(-3.95214 - 12.1634i) q^{92} +(-1.23949 - 0.196316i) q^{93} +(0.467437 + 0.643372i) q^{94} +(-0.915074 - 2.81631i) q^{95} +(-2.04675 - 4.01698i) q^{96} +(-2.10528 - 13.2922i) q^{97} +(2.18380 + 2.18380i) q^{98} +(-2.40312 - 2.28583i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9}+O(q^{10}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9	\( 112 q + 28 q^{3} + 6 q^{5} - 28 q^{9} - 14 q^{11} + 10 q^{13} + 12 q^{14} + 4 q^{15} - 48 q^{16} - 2 q^{20} + 32 q^{22} + 30 q^{24} - 46 q^{26} + 28 q^{27} - 20 q^{29} - 24 q^{31} - 16 q^{33} - 16 q^{34} - 20 q^{35} + 12 q^{37} + 10 q^{39} - 40 q^{40} - 10 q^{41} + 28 q^{42} + 24 q^{44} - 4 q^{45} - 20 q^{46} - 62 q^{47} - 92 q^{48} - 90 q^{50} + 110 q^{52} + 68 q^{53} + 32 q^{55} - 30 q^{57} - 56 q^{58} + 16 q^{59} + 2 q^{60} + 20 q^{61} + 8 q^{66} + 12 q^{67} + 60 q^{68} - 196 q^{70} - 52 q^{71} + 30 q^{72} - 10 q^{73} - 120 q^{74} - 84 q^{78} + 40 q^{79} - 56 q^{80} - 28 q^{81} + 110 q^{83} - 30 q^{84} - 40 q^{85} + 18 q^{86} - 96 q^{89} - 44 q^{91} + 80 q^{92} + 24 q^{93} - 20 q^{94} + 100 q^{96} + 18 q^{97} + 6 q^{99}+O(q^{100}) \) 112 * q + 28 * q^3 + 6 * q^5 - 28 * q^9 - 14 * q^11 + 10 * q^13 + 12 * q^14 + 4 * q^15 - 48 * q^16 - 2 * q^20 + 32 * q^22 + 30 * q^24 - 46 * q^26 + 28 * q^27 - 20 * q^29 - 24 * q^31 - 16 * q^33 - 16 * q^34 - 20 * q^35 + 12 * q^37 + 10 * q^39 - 40 * q^40 - 10 * q^41 + 28 * q^42 + 24 * q^44 - 4 * q^45 - 20 * q^46 - 62 * q^47 - 92 * q^48 - 90 * q^50 + 110 * q^52 + 68 * q^53 + 32 * q^55 - 30 * q^57 - 56 * q^58 + 16 * q^59 + 2 * q^60 + 20 * q^61 + 8 * q^66 + 12 * q^67 + 60 * q^68 - 196 * q^70 - 52 * q^71 + 30 * q^72 - 10 * q^73 - 120 * q^74 - 84 * q^78 + 40 * q^79 - 56 * q^80 - 28 * q^81 + 110 * q^83 - 30 * q^84 - 40 * q^85 + 18 * q^86 - 96 * q^89 - 44 * q^91 + 80 * q^92 + 24 * q^93 - 20 * q^94 + 100 * q^96 + 18 * q^97 + 6 * q^99

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