LMFDB - Embedded newform 232.2.o.a.109.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [232,2,Mod(5,232)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(232, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 7, 11]))

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

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

chi := DirichletCharacter("232.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 232 = 2^{3} \cdot 29 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	232.o (of order $14$, 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:	$1.85252932689$
Analytic rank:	$0$
Dimension:	$168$
Relative dimension:	$28$ over $\Q(\zeta_{14})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label			109.7
Character	$\chi$	$=$	232.109
Dual form			232.2.o.a.149.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.05620 + 0.940444i) q^{2} +(-0.510561 - 0.245873i) q^{3} +(0.231132 - 1.98660i) q^{4} +(1.18384 - 0.270205i) q^{5} +(0.770486 - 0.220461i) q^{6} +(-3.86831 - 1.86288i) q^{7} +(1.62416 + 2.31562i) q^{8} +(-1.67025 - 2.09443i) q^{9} +O(q^{10})$	\(q+(-1.05620 + 0.940444i) q^{2} +(-0.510561 - 0.245873i) q^{3} +(0.231132 - 1.98660i) q^{4} +(1.18384 - 0.270205i) q^{5} +(0.770486 - 0.220461i) q^{6} +(-3.86831 - 1.86288i) q^{7} +(1.62416 + 2.31562i) q^{8} +(-1.67025 - 2.09443i) q^{9} +(-0.996268 + 1.39873i) q^{10} +(-3.70481 + 4.64569i) q^{11} +(-0.606458 + 0.957450i) q^{12} +(-1.73253 - 1.38165i) q^{13} +(5.83766 - 1.67035i) q^{14} +(-0.670860 - 0.153119i) q^{15} +(-3.89316 - 0.918333i) q^{16} -4.30490i q^{17} +(3.73382 + 0.641366i) q^{18} +(0.209801 - 0.101035i) q^{19} +(-0.263164 - 2.41428i) q^{20} +(1.51698 + 1.90223i) q^{21} +(-0.455971 - 8.39096i) q^{22} +(1.21063 - 5.30413i) q^{23} +(-0.259885 - 1.58160i) q^{24} +(-3.17637 + 1.52966i) q^{25} +(3.12927 - 0.170047i) q^{26} +(0.716095 + 3.13742i) q^{27} +(-4.59489 + 7.25421i) q^{28} +(1.87559 - 5.04799i) q^{29} +(0.852565 - 0.469181i) q^{30} +(-0.283637 + 0.0647383i) q^{31} +(4.97561 - 2.69135i) q^{32} +(3.03378 - 1.46099i) q^{33} +(4.04851 + 4.54685i) q^{34} +(-5.08283 - 1.16012i) q^{35} +(-4.54684 + 2.83403i) q^{36} +(1.99633 + 2.50332i) q^{37} +(-0.126575 + 0.304019i) q^{38} +(0.544853 + 1.13140i) q^{39} +(2.54845 + 2.30248i) q^{40} +7.76376i q^{41} +(-3.39117 - 0.582509i) q^{42} +(1.34883 - 5.90963i) q^{43} +(8.37282 + 8.43375i) q^{44} +(-2.54324 - 2.02817i) q^{45} +(3.70956 + 6.74077i) q^{46} +(-4.90596 - 3.91237i) q^{47} +(1.76190 + 1.42609i) q^{48} +(7.12908 + 8.93958i) q^{49} +(1.91633 - 4.60283i) q^{50} +(-1.05846 + 2.19791i) q^{51} +(-3.14523 + 3.12251i) q^{52} +(4.41367 - 1.00739i) q^{53} +(-3.70691 - 2.64030i) q^{54} +(-3.13063 + 6.50083i) q^{55} +(-1.96904 - 11.9832i) q^{56} -0.131958 q^{57} +(2.76634 + 7.09559i) q^{58} +14.3568i q^{59} +(-0.459244 + 1.29734i) q^{60} +(-8.91603 - 4.29373i) q^{61} +(0.238696 - 0.335122i) q^{62} +(2.55938 + 11.2134i) q^{63} +(-2.72419 + 7.52189i) q^{64} +(-2.42438 - 1.16752i) q^{65} +(-1.83031 + 4.39620i) q^{66} +(-4.60932 + 3.67581i) q^{67} +(-8.55211 - 0.995000i) q^{68} +(-1.92224 + 2.41042i) q^{69} +(6.45954 - 3.55479i) q^{70} +(8.82207 - 11.0625i) q^{71} +(2.13714 - 7.26936i) q^{72} +(1.18574 + 0.270637i) q^{73} +(-4.46277 - 0.766580i) q^{74} +1.99783 q^{75} +(-0.152224 - 0.440142i) q^{76} +(22.9857 - 11.0693i) q^{77} +(-1.63949 - 0.682584i) q^{78} +(-0.672897 + 0.536618i) q^{79} +(-4.85703 - 0.0352146i) q^{80} +(-1.38252 + 6.05722i) q^{81} +(-7.30138 - 8.20012i) q^{82} +(-6.28924 - 13.0597i) q^{83} +(4.12958 - 2.57396i) q^{84} +(-1.16320 - 5.09633i) q^{85} +(4.13303 + 7.51028i) q^{86} +(-2.19877 + 2.11615i) q^{87} +(-16.7749 - 1.03359i) q^{88} +(12.4367 - 2.83859i) q^{89} +(4.59355 - 0.249617i) q^{90} +(4.12813 + 8.57215i) q^{91} +(-10.2574 - 3.63100i) q^{92} +(0.160731 + 0.0366859i) q^{93} +(8.86105 - 0.481516i) q^{94} +(0.221071 - 0.176298i) q^{95} +(-3.20208 + 0.150728i) q^{96} +(-0.717537 - 1.48998i) q^{97} +(-15.9369 - 2.73752i) q^{98} +15.9180 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	$ 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) $ 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/232\mathbb{Z}\right)^\times$.

$n$	$89$	$117$	$175$
$\chi(n)$	$e\left(\frac{13}{14}\right)$	$-1$	$1$

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 $

$2$	−1.05620	+	0.940444i	−0.746849	+	0.664994i
$2$	−1.05620	+	0.940444i	−0.746849	+	0.664994i
$3$	−0.510561	−	0.245873i	−0.294772	−	0.141955i	0.280653	−	0.959809i	$-0.409449\pi$
$3$	−0.510561	−	0.245873i	−0.294772	−	0.141955i	−0.575425	+	0.817855i	$0.695163\pi$
$4$	0.231132	−	1.98660i	0.115566	−	0.993300i
$5$	1.18384	−	0.270205i	0.529431	−	0.120839i	0.0505542	−	0.998721i	$-0.483901\pi$
$5$	1.18384	−	0.270205i	0.529431	−	0.120839i	0.478877	+	0.877882i	$0.341044\pi$
$6$	0.770486	−	0.220461i	0.314549	−	0.0900030i
$7$	−3.86831	−	1.86288i	−1.46208	−	0.704103i	−0.477438	−	0.878665i	$-0.658434\pi$
$7$	−3.86831	−	1.86288i	−1.46208	−	0.704103i	−0.984646	+	0.174563i	$0.944149\pi$
$8$	1.62416	+	2.31562i	0.574228	+	0.818695i
$9$	−1.67025	−	2.09443i	−0.556750	−	0.698143i
$10$	−0.996268	+	1.39873i	−0.315048	+	0.442317i
$11$	−3.70481	+	4.64569i	−1.11704	+	1.40073i	−0.211029	+	0.977480i	$0.567681\pi$
$11$	−3.70481	+	4.64569i	−1.11704	+	1.40073i	−0.906014	+	0.423248i	$0.860890\pi$
$12$	−0.606458	+	0.957450i	−0.175069	+	0.276392i
$13$	−1.73253	−	1.38165i	−0.480519	−	0.383201i	0.353061	−	0.935600i	$-0.385141\pi$
$13$	−1.73253	−	1.38165i	−0.480519	−	0.383201i	−0.833579	+	0.552400i	$0.813712\pi$
$14$	5.83766	−	1.67035i	1.56018	−	0.446419i
$15$	−0.670860	−	0.153119i	−0.173215	−	0.0395353i
$16$	−3.89316	−	0.918333i	−0.973289	−	0.229583i
$17$		−	4.30490i		−	1.04409i	−0.852918	−	0.522046i	$-0.825169\pi$
$17$		−	4.30490i		−	1.04409i	0.852918	−	0.522046i	$-0.174831\pi$
$18$	3.73382	+	0.641366i	0.880069	+	0.151171i
$19$	0.209801	−	0.101035i	0.0481316	−	0.0231790i	−0.409663	−	0.912237i	$-0.634354\pi$
$19$	0.209801	−	0.101035i	0.0481316	−	0.0231790i	0.457795	+	0.889058i	$0.348639\pi$
$20$	−0.263164	−	2.41428i	−0.0588453	−	0.539849i
$21$	1.51698	+	1.90223i	0.331031	+	0.415100i
$22$	−0.455971	−	8.39096i	−0.0972133	−	1.78896i
$23$	1.21063	−	5.30413i	0.252434	−	1.10599i	−0.676704	−	0.736255i	$-0.736592\pi$
$23$	1.21063	−	5.30413i	0.252434	−	1.10599i	0.929138	−	0.369732i	$-0.120551\pi$
$24$	−0.259885	−	1.58160i	−0.0530488	−	0.322843i
$25$	−3.17637	+	1.52966i	−0.635274	+	0.305932i
$26$	3.12927	−	0.170047i	0.613701	−	0.0333490i
$27$	0.716095	+	3.13742i	0.137813	+	0.603796i
$28$	−4.59489	+	7.25421i	−0.868352	+	1.37092i
$29$	1.87559	−	5.04799i	0.348288	−	0.937387i
$29$	1.87559	−	5.04799i	0.348288	−	0.937387i
$30$	0.852565	−	0.469181i	0.155656	−	0.0856603i
$31$	−0.283637	+	0.0647383i	−0.0509427	+	0.0116273i	−0.247916	−	0.968781i	$-0.579746\pi$
$31$	−0.283637	+	0.0647383i	−0.0509427	+	0.0116273i	0.196974	+	0.980409i	$0.436889\pi$
$32$	4.97561	−	2.69135i	0.879571	−	0.475767i
$33$	3.03378	−	1.46099i	0.528113	−	0.254326i
$34$	4.04851	+	4.54685i	0.694314	+	0.779778i
$35$	−5.08283	−	1.16012i	−0.859156	−	0.196097i
$36$	−4.54684	+	2.83403i	−0.757806	+	0.472338i
$37$	1.99633	+	2.50332i	0.328195	+	0.411544i	0.918364	−	0.395736i	$-0.129510\pi$
$37$	1.99633	+	2.50332i	0.328195	+	0.411544i	−0.590169	+	0.807280i	$0.700939\pi$
$38$	−0.126575	+	0.304019i	−0.0205332	+	0.0493184i
$39$	0.544853	+	1.13140i	0.0872463	+	0.181169i
$40$	2.54845	+	2.30248i	0.402945	+	0.364053i
$41$			7.76376i			1.21250i	0.795276	+	0.606248i	$0.207326\pi$
$41$			7.76376i			1.21250i	−0.795276	+	0.606248i	$0.792674\pi$
$42$	−3.39117	−	0.582509i	−0.523269	−	0.0898831i
$43$	1.34883	−	5.90963i	0.205695	−	0.901210i	−0.761698	−	0.647932i	$-0.775634\pi$
$43$	1.34883	−	5.90963i	0.205695	−	0.901210i	0.967393	−	0.253278i	$-0.0815088\pi$
$44$	8.37282	+	8.43375i	1.26225	+	1.27144i
$45$	−2.54324	−	2.02817i	−0.379124	−	0.302341i
$46$	3.70956	+	6.74077i	0.546945	+	0.993873i
$47$	−4.90596	−	3.91237i	−0.715607	−	0.570678i	0.196562	−	0.980491i	$-0.437022\pi$
$47$	−4.90596	−	3.91237i	−0.715607	−	0.570678i	−0.912169	+	0.409814i	$0.865594\pi$
$48$	1.76190	+	1.42609i	0.254308	+	0.205838i
$49$	7.12908	+	8.93958i	1.01844	+	1.27708i
$50$	1.91633	−	4.60283i	0.271011	−	0.650938i
$51$	−1.05846	+	2.19791i	−0.148214	+	0.307769i
$52$	−3.14523	+	3.12251i	−0.436165	+	0.433014i
$53$	4.41367	−	1.00739i	0.606264	−	0.138376i	0.0916407	−	0.995792i	$-0.470789\pi$
$53$	4.41367	−	1.00739i	0.606264	−	0.138376i	0.514623	+	0.857416i	$0.327932\pi$
$54$	−3.70691	−	2.64030i	−0.504446	−	0.359300i
$55$	−3.13063	+	6.50083i	−0.422134	+	0.876571i
$56$	−1.96904	−	11.9832i	−0.263124	−	1.60132i
$57$	−0.131958			−0.0174782
$58$	2.76634	+	7.09559i	0.363238	+	0.931696i
$59$			14.3568i			1.86909i	0.355840	+	0.934547i	$0.384195\pi$
$59$			14.3568i			1.86909i	−0.355840	+	0.934547i	$0.615805\pi$
$60$	−0.459244	+	1.29734i	−0.0592882	+	0.167486i
$61$	−8.91603	−	4.29373i	−1.14158	−	0.549756i	−0.235087	−	0.971974i	$-0.575537\pi$
$61$	−8.91603	−	4.29373i	−1.14158	−	0.549756i	−0.906494	+	0.422218i	$0.861252\pi$
$62$	0.238696	−	0.335122i	0.0303144	−	0.0425605i
$63$	2.55938	+	11.2134i	0.322452	+	1.41275i
$64$	−2.72419	+	7.52189i	−0.340524	+	0.940236i
$65$	−2.42438	−	1.16752i	−0.300707	−	0.144813i
$66$	−1.83031	+	4.39620i	−0.225296	+	0.541135i
$67$	−4.60932	+	3.67581i	−0.563118	+	0.449072i	−0.863215	−	0.504837i	$-0.831553\pi$
$67$	−4.60932	+	3.67581i	−0.563118	+	0.449072i	0.300097	+	0.953909i	$0.402981\pi$
$68$	−8.55211	−	0.995000i	−1.03710	−	0.120661i
$69$	−1.92224	+	2.41042i	−0.231411	+	0.290180i
$70$	6.45954	−	3.55479i	0.772062	−	0.424879i
$71$	8.82207	−	11.0625i	1.04699	−	1.31288i	0.0988211	−	0.995105i	$-0.468493\pi$
$71$	8.82207	−	11.0625i	1.04699	−	1.31288i	0.948166	−	0.317775i	$-0.102936\pi$
$72$	2.13714	−	7.26936i	0.251865	−	0.856702i
$73$	1.18574	+	0.270637i	0.138780	+	0.0316757i	0.291347	−	0.956618i	$-0.405897\pi$
$73$	1.18574	+	0.270637i	0.138780	+	0.0316757i	−0.152567	+	0.988293i	$0.548754\pi$
$74$	−4.46277	−	0.766580i	−0.518786	−	0.0891131i
$75$	1.99783			0.230690
$76$	−0.152224	−	0.440142i	−0.0174613	−	0.0504878i
$77$	22.9857	−	11.0693i	2.61947	−	1.26147i
$78$	−1.63949	−	0.682584i	−0.185636	−	0.0772875i
$79$	−0.672897	+	0.536618i	−0.0757069	+	0.0603742i	−0.660612	−	0.750727i	$-0.729703\pi$
$79$	−0.672897	+	0.536618i	−0.0757069	+	0.0603742i	0.584905	+	0.811102i	$0.301132\pi$
$80$	−4.85703	−	0.0352146i	−0.543032	−	0.00393711i
$81$	−1.38252	+	6.05722i	−0.153613	+	0.673024i
$82$	−7.30138	−	8.20012i	−0.806303	−	0.905551i
$83$	−6.28924	−	13.0597i	−0.690334	−	1.43349i	−0.891078	−	0.453850i	$-0.850050\pi$
$83$	−6.28924	−	13.0597i	−0.690334	−	1.43349i	0.200744	−	0.979644i	$-0.435664\pi$
$84$	4.12958	−	2.57396i	0.450575	−	0.280842i
$85$	−1.16320	−	5.09633i	−0.126167	−	0.552774i
$86$	4.13303	+	7.51028i	0.445676	+	0.809854i
$87$	−2.19877	+	2.11615i	−0.235732	+	0.226875i
$88$	−16.7749	−	1.03359i	−1.78821	−	0.110181i
$89$	12.4367	−	2.83859i	1.31829	−	0.300890i	0.495187	−	0.868787i	$-0.335100\pi$
$89$	12.4367	−	2.83859i	1.31829	−	0.300890i	0.823100	+	0.567896i	$0.192243\pi$
$90$	4.59355	−	0.249617i	0.484203	−	0.0263120i
$91$	4.12813	+	8.57215i	0.432746	+	0.898606i
$92$	−10.2574	−	3.63100i	−1.06940	−	0.378558i
$93$	0.160731	+	0.0366859i	0.0166671	+	0.00380415i
$94$	8.86105	−	0.481516i	0.913948	−	0.0496646i
$95$	0.221071	−	0.176298i	0.0226814	−	0.0180878i
$96$	−3.20208	+	0.150728i	−0.326811	+	0.0153836i
$97$	−0.717537	−	1.48998i	−0.0728548	−	0.151285i	0.861361	−	0.507994i	$-0.169613\pi$
$97$	−0.717537	−	1.48998i	−0.0728548	−	0.151285i	−0.934215	+	0.356710i	$0.883899\pi$
$98$	−15.9369	−	2.73752i	−1.60987	−	0.276531i
$99$	15.9180			1.59982
$100$	2.30466	+	6.66373i	0.230466	+	0.666373i
$101$	−0.155820	+	0.682692i	−0.0155047	+	0.0679304i	−0.982088	−	0.188421i	$-0.939663\pi$
$101$	−0.155820	+	0.682692i	−0.0155047	+	0.0679304i	0.966584	+	0.256351i	$0.0825203\pi$
$102$	−0.949064	−	3.31686i	−0.0939713	−	0.328418i
$103$	6.19972	−	7.77421i	0.610877	−	0.766015i	−0.376152	−	0.926558i	$-0.622753\pi$
$103$	6.19972	−	7.77421i	0.610877	−	0.766015i	0.987029	+	0.160543i	$0.0513244\pi$
$104$	0.385460	−	6.25591i	0.0377974	−	0.613443i
$105$	2.30985	+	1.84205i	0.225418	+	0.179765i
$106$	−3.71434	+	5.21482i	−0.360769	+	0.506508i
$107$	4.80503	−	3.83189i	0.464520	−	0.370442i	−0.363082	−	0.931757i	$-0.618276\pi$
$107$	4.80503	−	3.83189i	0.464520	−	0.370442i	0.827603	+	0.561315i	$0.189704\pi$
$108$	6.39830	−	0.697437i	0.615677	−	0.0671109i
$109$	−4.27938	+	8.88622i	−0.409890	+	0.851146i	0.589179	+	0.808003i	$0.299451\pi$
$109$	−4.27938	+	8.88622i	−0.409890	+	0.851146i	−0.999069	+	0.0431429i	$0.986263\pi$
$110$	−2.80707	−	9.81038i	−0.267644	−	0.935383i
$111$	−0.403750	−	1.76894i	−0.0383222	−	0.167901i
$112$	13.3492	+	10.8049i	1.26138	+	1.02097i
$113$	−2.02360	+	4.20205i	−0.190364	+	0.395295i	−0.974204	−	0.225667i	$-0.927544\pi$
$113$	−2.02360	+	4.20205i	−0.190364	+	0.395295i	0.783840	+	0.620963i	$0.213258\pi$
$114$	0.139374	−	0.124099i	0.0130536	−	0.0116229i
$115$		−	6.60638i		−	0.616048i
$116$	−9.59482	−	4.89280i	−0.890857	−	0.454285i
$117$			5.93637i			0.548818i
$118$	−13.5017	−	15.1637i	−1.24294	−	1.39593i
$119$	−8.01951	+	16.6527i	−0.735147	+	1.52655i
$120$	−0.735019	−	1.80215i	−0.0670978	−	0.164513i
$121$	−5.40905	−	23.6986i	−0.491732	−	2.15442i
$122$	13.4552	−	3.84997i	1.21817	−	0.348560i
$123$	1.90890	−	3.96387i	0.172120	−	0.357410i
$124$	0.0630515	+	0.578437i	0.00566219	+	0.0519451i
$125$	−8.09385	+	6.45463i	−0.723936	+	0.577320i
$126$	−13.2488	−	9.43666i	−1.18029	−	0.840684i
$127$	−5.96022	−	4.75312i	−0.528884	−	0.421771i	0.322300	−	0.946637i	$-0.395544\pi$
$127$	−5.96022	−	4.75312i	−0.528884	−	0.421771i	−0.851185	+	0.524866i	$0.824115\pi$
$128$	−4.19661	−	10.5066i	−0.370931	−	0.928660i
$129$	−2.14168	+	2.68558i	−0.188565	+	0.236452i
$130$	3.65862	−	1.04685i	0.320882	−	0.0918151i
$131$	1.99152	−	8.72540i	0.174000	−	0.762342i	−0.810326	−	0.585980i	$-0.800710\pi$
$131$	1.99152	−	8.72540i	0.174000	−	0.762342i	0.984325	−	0.176362i	$-0.0564330\pi$
$132$	−2.20120	−	6.36459i	−0.191590	−	0.553966i
$133$	−0.999790			−0.0866928
$134$	1.41149	−	8.21721i	0.121934	−	0.709859i
$135$	1.69549	+	3.52072i	0.145924	+	0.303015i
$136$	9.96851	−	6.99185i	0.854793	−	0.599546i
$137$	1.38018	−	1.10066i	0.117917	−	0.0940357i	−0.562756	−	0.826623i	$-0.690259\pi$
$137$	1.38018	−	1.10066i	0.117917	−	0.0940357i	0.680673	+	0.732587i	$0.261687\pi$
$138$	−0.236581	−	4.35365i	−0.0201391	−	0.370608i
$139$	−16.4861	−	3.76284i	−1.39833	−	0.319160i	−0.544085	−	0.839030i	$-0.683123\pi$
$139$	−16.4861	−	3.76284i	−1.39833	−	0.319160i	−0.854245	+	0.519870i	$0.825980\pi$
$140$	−3.47951	+	9.82941i	−0.294072	+	0.830737i
$141$	1.54284	+	3.20374i	0.129931	+	0.269804i
$142$	1.08578	+	19.9809i	0.0911165	+	1.67676i
$143$	12.8374	−	2.93006i	1.07352	−	0.245024i
$144$	4.57916	+	9.68778i	0.381597	+	0.807315i
$145$	0.856416	−	6.48282i	0.0711215	−	0.538369i
$146$	−1.50690	+	0.829272i	−0.124712	+	0.0686310i
$147$	−1.44182	−	6.31704i	−0.118920	−	0.521021i
$148$	5.43452	−	3.38732i	0.446714	−	0.278436i
$149$	2.04151	+	4.23924i	0.167247	+	0.347292i	0.967700	−	0.252103i	$-0.0811221\pi$
$149$	2.04151	+	4.23924i	0.167247	+	0.347292i	−0.800453	+	0.599395i	$0.795408\pi$
$150$	−2.11012	+	1.87885i	−0.172290	+	0.153407i
$151$	−0.683050	+	2.99264i	−0.0555858	+	0.243537i	−0.995086	−	0.0990098i	$-0.968432\pi$
$151$	−0.683050	+	2.99264i	−0.0555858	+	0.243537i	0.939501	+	0.342547i	$0.111290\pi$
$152$	0.574709	+	0.321722i	0.0466150	+	0.0260951i
$153$	−9.01630	+	7.19026i	−0.728925	+	0.581298i
$154$	−13.8675	+	33.3083i	−1.11748	+	2.68406i
$155$	−0.318289	+	0.153280i	−0.0255656	+	0.0123118i
$156$	2.37357	−	0.820903i	0.190038	−	0.0657248i
$157$	−12.8743			−1.02748			−0.513740	−	0.857946i	$-0.671741\pi$
$157$	−12.8743			−1.02748			−0.513740	+	0.857946i	$0.671741\pi$
$158$	0.206058	−	1.19960i	0.0163931	−	0.0954350i
$159$	−2.50114	−	0.570868i	−0.198353	−	0.0452728i
$160$	5.16313	−	4.53056i	0.408181	−	0.358173i
$161$	−14.5641	+	18.2628i	−1.14781	+	1.43931i
$162$	−4.23625	−	7.69784i	−0.332831	−	0.604799i
$163$	7.54344	−	9.45917i	0.590848	−	0.740900i	−0.393073	−	0.919507i	$-0.628588\pi$
$163$	7.54344	−	9.45917i	0.590848	−	0.740900i	0.983920	+	0.178608i	$0.0571593\pi$
$164$	15.4235	+	1.79445i	1.20437	+	0.140123i
$165$	3.19676	−	2.54933i	0.248867	−	0.198465i
$166$	18.9247	+	7.87907i	1.46884	+	0.611535i
$167$	−1.67605	−	0.807144i	−0.129697	−	0.0624587i	0.367910	−	0.929861i	$-0.380073\pi$
$167$	−1.67605	−	0.807144i	−0.129697	−	0.0624587i	−0.497607	+	0.867403i	$0.665788\pi$
$168$	−1.94102	+	6.60226i	−0.149753	+	0.509376i
$169$	−1.80005	−	7.88655i	−0.138466	−	0.606658i
$170$	6.02139	+	4.28883i	0.461819	+	0.328938i
$171$	−0.562030	−	0.270659i	−0.0429795	−	0.0206978i
$172$	−11.4283	−	4.04550i	−0.871401	−	0.308466i
$173$			19.9770i			1.51882i	0.650611	+	0.759411i	$0.274513\pi$
$173$			19.9770i			1.51882i	−0.650611	+	0.759411i	$0.725487\pi$
$174$	0.332229	−	4.30290i	0.0251862	−	0.326202i
$175$	15.1368			1.14423
$176$	18.6897	−	14.6841i	1.40879	−	1.10686i
$177$	3.52995	−	7.33001i	0.265327	−	0.550957i
$178$	−10.4661	+	14.6941i	−0.784470	+	1.10137i
$179$	1.08216	−	0.246996i	0.0808846	−	0.0184614i	−0.181887	−	0.983319i	$-0.558221\pi$
$179$	1.08216	−	0.246996i	0.0808846	−	0.0184614i	0.262772	+	0.964858i	$0.415363\pi$
$180$	−4.61698	+	4.58363i	−0.344129	+	0.341643i
$181$	6.07886	−	12.6229i	0.451838	−	0.938251i	−0.543279	−	0.839552i	$-0.682818\pi$
$181$	6.07886	−	12.6229i	0.451838	−	0.938251i	0.995117	−	0.0986991i	$-0.0314681\pi$
$182$	−12.4218	−	5.17167i	−0.920763	−	0.383349i
$183$	3.49646	+	4.38442i	0.258466	+	0.324106i
$184$	14.2486	−	5.81140i	1.05042	−	0.428422i
$185$	3.03976	+	2.42412i	0.223487	+	0.178225i
$186$	−0.204266	+	0.112411i	−0.0149775	+	0.00824237i
$187$	19.9992	+	15.9488i	1.46249	+	1.16629i
$188$	−8.90623	+	8.84190i	−0.649554	+	0.644862i
$189$	3.07455	−	13.4705i	0.223641	−	0.979835i
$190$	−0.0676975	+	0.394112i	−0.00491129	+	0.0285919i
$191$			15.9805i			1.15631i	0.815927	+	0.578155i	$0.196227\pi$
$191$			15.9805i			1.15631i	−0.815927	+	0.578155i	$0.803773\pi$
$192$	3.24030	−	3.17057i	0.233848	−	0.228816i
$193$	−2.11013	−	4.38173i	−0.151890	−	0.315404i	0.811115	−	0.584887i	$-0.198861\pi$
$193$	−2.11013	−	4.38173i	−0.151890	−	0.315404i	−0.963005	+	0.269484i	$0.913147\pi$
$194$	2.15911	+	0.898920i	0.155015	+	0.0645387i
$195$	0.950730	+	1.19218i	0.0680832	+	0.0853737i
$196$	19.4071	−	12.0964i	1.38622	−	0.864028i
$197$	−20.3714	−	4.64964i	−1.45140	−	0.331273i	−0.577108	−	0.816668i	$-0.695819\pi$
$197$	−20.3714	−	4.64964i	−1.45140	−	0.331273i	−0.874295	+	0.485395i	$0.838676\pi$
$198$	−16.8127	+	14.9700i	−1.19482	+	1.06387i
$199$	16.4222	−	7.90850i	1.16414	−	0.560619i	0.250886	−	0.968017i	$-0.419278\pi$
$199$	16.4222	−	7.90850i	1.16414	−	0.560619i	0.913251	+	0.407398i	$0.133564\pi$
$200$	−8.70105	−	4.87085i	−0.615257	−	0.344421i
$201$	3.25712	−	0.743416i	0.229740	−	0.0524365i
$202$	−0.477455	−	0.867601i	−0.0335936	−	0.0610442i
$203$	−16.6592	+	16.0332i	−1.16924	+	1.12531i
$204$	4.12173	+	2.61074i	0.288579	+	0.182788i
$205$	2.09780	+	9.19108i	0.146517	+	0.641933i
$206$	0.763033	+	14.0416i	0.0531630	+	0.978327i
$207$	−13.1312	+	6.32364i	−0.912680	+	0.439524i
$208$	5.47621	+	6.97002i	0.379707	+	0.483284i
$209$	−0.307897	+	1.34898i	−0.0212977	+	0.0933111i
$210$	−4.17201	+	0.226710i	−0.287896	+	0.0156445i
$211$	2.93443	+	3.67966i	0.202015	+	0.253318i	0.872511	−	0.488594i	$-0.162490\pi$
$211$	2.93443	+	3.67966i	0.202015	+	0.253318i	−0.670496	+	0.741913i	$0.733919\pi$
$212$	−0.981143	−	9.00104i	−0.0673852	−	0.618194i
$213$	−7.22418	+	3.47898i	−0.494993	+	0.238376i
$214$	−1.47142	+	8.56612i	−0.100584	+	0.585568i
$215$		−	7.36054i		−	0.501985i
$216$	−6.10201	+	6.75388i	−0.415189	+	0.459543i
$217$	1.21780	+	0.277954i	0.0826694	+	0.0188688i
$218$	−3.83709	−	13.4102i	−0.259881	−	0.908251i
$219$	−0.538849	−	0.429717i	−0.0364120	−	0.0290376i
$220$	12.1909	+	7.72186i	0.821914	+	0.520608i
$221$	−5.94786	+	7.45838i	−0.400096	+	0.501705i
$222$	2.09003	+	1.48866i	0.140274	+	0.0999123i
$223$	−2.60110	−	3.26167i	−0.174182	−	0.218418i	0.687075	−	0.726586i	$-0.258894\pi$
$223$	−2.60110	−	3.26167i	−0.174182	−	0.218418i	−0.861258	+	0.508168i	$0.830323\pi$
$224$	−24.2608	+	1.14201i	−1.62100	+	0.0763034i
$225$	8.50909	+	4.09776i	0.567273	+	0.273184i
$226$	−1.81446	−	6.34130i	−0.120696	−	0.421817i
$227$	6.08039	−	1.38781i	0.403570	−	0.0921121i	−0.0159178	−	0.999873i	$-0.505067\pi$
$227$	6.08039	−	1.38781i	0.403570	−	0.0921121i	0.419487	+	0.907761i	$0.362210\pi$
$228$	−0.0304997	+	0.262147i	−0.00201989	+	0.0173611i
$229$	−13.2117	−	6.36241i	−0.873052	−	0.420440i	−0.0569702	−	0.998376i	$-0.518144\pi$
$229$	−13.2117	−	6.36241i	−0.873052	−	0.420440i	−0.816082	+	0.577936i	$0.803858\pi$
$230$	6.21293	+	6.97768i	0.409668	+	0.460095i
$231$	−14.4573			−0.951218
$232$	14.7355	−	3.85559i	0.967432	−	0.253132i
$233$	1.01099			0.0662320			0.0331160	−	0.999452i	$-0.489457\pi$
$233$	1.01099			0.0662320			0.0331160	+	0.999452i	$0.489457\pi$
$234$	−5.58282	−	6.27002i	−0.364960	−	0.409884i
$235$	−6.86502	−	3.30602i	−0.447825	−	0.215661i
$236$	28.5212	+	3.31831i	1.85657	+	0.216004i
$237$	0.475495	−	0.108529i	0.0308867	−	0.00704969i
$238$	−7.19067	−	25.1305i	−0.466102	−	1.62897i
$239$	−2.71615	−	1.30803i	−0.175693	−	0.0846095i	0.343970	−	0.938981i	$-0.388228\pi$
$239$	−2.71615	−	1.30803i	−0.175693	−	0.0846095i	−0.519663	+	0.854371i	$0.673943\pi$
$240$	2.47115	+	1.21219i	0.159512	+	0.0782466i
$241$	−16.5799	−	20.7905i	−1.06800	−	1.33923i	−0.937578	−	0.347776i	$-0.886937\pi$
$241$	−16.5799	−	20.7905i	−1.06800	−	1.33923i	−0.130426	−	0.991458i	$-0.541634\pi$
$242$	28.0002	+	19.9436i	1.79992	+	1.28203i
$243$	8.21453	−	10.3007i	0.526962	−	0.660790i
$244$	−10.5907	+	16.7202i	−0.678001	+	1.07040i
$245$	10.8552	+	8.65675i	0.693515	+	0.553060i
$246$	1.71161	+	5.98187i	0.109128	+	0.381390i
$247$	−0.503082	−	0.114825i	−0.0320103	−	0.00730615i
$248$	−0.610582	−	0.551650i	−0.0387720	−	0.0350298i
$249$			8.21415i			0.520550i
$250$	2.47854	−	14.4292i	0.156756	−	0.912583i
$251$	11.3511	−	5.46640i	0.716475	−	0.345036i	−0.0398739	−	0.999205i	$-0.512696\pi$
$251$	11.3511	−	5.46640i	0.716475	−	0.345036i	0.756349	+	0.654169i	$0.226981\pi$
$252$	22.8680	−	2.49269i	1.44055	−	0.157025i
$253$	20.1562	+	25.2750i	1.26721	+	1.58903i
$254$	10.7652	−	0.584992i	0.675472	−	0.0367056i
$255$	−0.659163	+	2.88798i	−0.0412784	+	0.180853i
$256$	14.3133	+	7.15043i	0.894583	+	0.446902i
$257$	3.53133	−	1.70060i	0.220278	−	0.106080i	−0.320491	−	0.947252i	$-0.603848\pi$
$257$	3.53133	−	1.70060i	0.220278	−	0.106080i	0.540769	+	0.841171i	$0.318133\pi$
$258$	−0.263588	−	4.85065i	−0.0164103	−	0.301988i
$259$	−3.05905	−	13.4026i	−0.190080	−	0.832795i
$260$	−2.87974	+	4.54642i	−0.178594	+	0.281957i
$261$	−13.7054	+	4.50311i	−0.848340	+	0.278736i
$262$	6.10230	+	11.0887i	0.377001	+	0.685063i
$263$	−7.74313	+	1.76732i	−0.477462	+	0.108978i	−0.454477	−	0.890758i	$-0.650174\pi$
$263$	−7.74313	+	1.76732i	−0.477462	+	0.108978i	−0.0229845	+	0.999736i	$0.507317\pi$
$264$	8.31045	+	4.65220i	0.511473	+	0.286323i
$265$	4.95289	−	2.38519i	0.304254	−	0.146521i
$266$	1.05598	−	0.940246i	0.0647464	−	0.0576502i
$267$	−7.04762	−	1.60857i	−0.431307	−	0.0984431i
$268$	6.23700	+	10.0065i	0.380985	+	0.611242i
$269$	5.48545	+	6.87854i	0.334454	+	0.419392i	0.920412	−	0.390949i	$-0.127853\pi$
$269$	5.48545	+	6.87854i	0.334454	+	0.419392i	−0.585958	+	0.810341i	$0.699282\pi$
$270$	−5.10182	−	2.12408i	−0.310487	−	0.129268i
$271$	−8.56385	−	17.7830i	−0.520217	−	1.08024i	−0.981229	−	0.192847i	$-0.938228\pi$
$271$	−8.56385	−	17.7830i	−0.520217	−	1.08024i	0.461012	−	0.887394i	$-0.347486\pi$
$272$	−3.95333	+	16.7596i	−0.239706	+	1.01620i
$273$		−	5.39160i		−	0.326315i
$274$	−0.422647	+	2.46051i	−0.0255330	+	0.148645i
$275$	4.66153	−	20.4235i	0.281101	−	1.23158i
$276$	4.34424	+	4.37585i	0.261493	+	0.263395i
$277$	−14.4215	−	11.5008i	−0.866503	−	0.691013i	0.0857519	−	0.996317i	$-0.472671\pi$
$277$	−14.4215	−	11.5008i	−0.866503	−	0.691013i	−0.952255	+	0.305303i	$0.901242\pi$
$278$	20.9514	−	11.5299i	1.25658	−	0.691517i
$279$	0.609335	+	0.485928i	0.0364799	+	0.0290918i
$280$	−5.56894	−	13.6541i	−0.332808	−	0.815991i
$281$	−16.0250	−	20.0947i	−0.955969	−	1.19875i	−0.979992	−	0.199035i	$-0.936219\pi$
$281$	−16.0250	−	20.0947i	−0.955969	−	1.19875i	0.0240238	−	0.999711i	$-0.492352\pi$
$282$	−4.64250	−	1.93285i	−0.276457	−	0.115100i
$283$	0.883661	−	1.83494i	0.0525282	−	0.109076i	−0.873053	−	0.487626i	$-0.837863\pi$
$283$	0.883661	−	1.83494i	0.0525282	−	0.109076i	0.925581	+	0.378550i	$0.123577\pi$
$284$	−19.9377	−	20.0828i	−1.18309	−	1.19170i
$285$	−0.156217	+	0.0356556i	−0.00925351	+	0.00211205i
$286$	−10.8034	+	15.1676i	−0.638817	+	0.896880i
$287$	14.4630	−	30.0327i	0.853722	−	1.77277i
$288$	−13.9473	−	5.92583i	−0.821855	−	0.349183i
$289$	−1.53215			−0.0901264
$290$	5.19218	+	7.65259i	0.304895	+	0.449375i
$291$			0.937148i			0.0549366i
$292$	0.811709	−	2.29303i	0.0475017	−	0.134190i
$293$	6.76847	+	3.25953i	0.395419	+	0.190424i	0.621017	−	0.783797i	$-0.286720\pi$
$293$	6.76847	+	3.25953i	0.395419	+	0.190424i	−0.225599	+	0.974220i	$0.572434\pi$
$294$	7.46368	+	5.31613i	0.435291	+	0.310043i
$295$	3.87927	+	16.9962i	0.225860	+	0.989556i
$296$	−2.55438	+	8.68855i	−0.148470	+	0.505012i
$297$	−17.2285	−	8.29679i	−0.999697	−	0.481429i
$298$	−6.14302	−	2.55758i	−0.355856	−	0.148156i
$299$	−9.42591	+	7.51692i	−0.545115	+	0.434714i
$300$	0.461763	−	3.96889i	0.0266599	−	0.229144i
$301$	−16.2266	+	20.3476i	−0.935289	+	1.17281i
$302$	−2.09297	−	3.80320i	−0.120437	−	0.218850i
$303$	0.247411	−	0.310244i	0.0142134	−	0.0178230i
$304$	−0.909571	+	0.200677i	−0.0521675	+	0.0115096i
$305$	−11.7154	−	2.67396i	−0.670820	−	0.153110i
$306$	2.76102	−	16.0737i	0.157837	−	0.918872i
$307$	−12.2739			−0.700507			−0.350254	−	0.936655i	$-0.613905\pi$
$307$	−12.2739			−0.700507			−0.350254	+	0.936655i	$0.613905\pi$
$308$	−16.6776	−	48.2219i	−0.950295	−	2.74770i
$309$	−5.07680	+	2.44486i	−0.288809	+	0.139083i
$310$	0.192027	−	0.461228i	0.0109064	−	0.0261960i
$311$	−3.66821	+	2.92530i	−0.208005	+	0.165878i	−0.721951	−	0.691944i	$-0.756754\pi$
$311$	−3.66821	+	2.92530i	−0.208005	+	0.165878i	0.513946	+	0.857822i	$0.328183\pi$
$312$	−1.73496	+	3.09925i	−0.0982228	+	0.175460i
$313$	−0.983389	+	4.30851i	−0.0555844	+	0.243531i	−0.995086	−	0.0990128i	$-0.968432\pi$
$313$	−0.983389	+	4.30851i	−0.0555844	+	0.243531i	0.939502	+	0.342544i	$0.111289\pi$
$314$	13.5979	−	12.1075i	0.767373	−	0.683268i
$315$	6.05981	+	12.5833i	0.341432	+	0.708990i
$316$	0.910517	+	1.46081i	0.0512206	+	0.0821768i
$317$	−1.87850	−	8.23026i	−0.105507	−	0.462258i	−0.999888	−	0.0149515i	$-0.995241\pi$
$317$	−1.87850	−	8.23026i	−0.105507	−	0.462258i	0.894381	−	0.447306i	$-0.147617\pi$
$318$	3.17858	−	1.74922i	0.178246	−	0.0980916i
$319$	16.5027	+	27.4152i	0.923971	+	1.53496i
$320$	−1.19257	+	9.64083i	−0.0666668	+	0.538939i
$321$	−3.39542	+	0.774982i	−0.189514	+	0.0432553i
$322$	−1.79248	−	32.9859i	−0.0998908	−	1.83823i
$323$	−0.434944	−	0.903171i	−0.0242009	−	0.0502538i
$324$	11.7137	+	4.14653i	0.650762	+	0.230363i
$325$	7.61662	+	1.73844i	0.422494	+	0.0964315i
$326$	0.928411	+	17.0850i	0.0514199	+	0.946250i
$327$	4.36976	−	3.48477i	0.241649	−	0.192708i
$328$	−17.9779	+	12.6096i	−0.992665	+	0.696249i
$329$	11.6895	+	24.2735i	0.644462	+	1.33824i
$330$	−0.978926	+	5.69898i	−0.0538881	+	0.313718i
$331$	4.88026			0.268243			0.134122	−	0.990965i	$-0.457179\pi$
$331$	4.88026			0.268243			0.134122	+	0.990965i	$0.457179\pi$
$332$	−27.3981	+	9.47568i	−1.50367	+	0.520046i
$333$	1.90865	−	8.36235i	0.104594	−	0.458254i
$334$	2.52933	−	0.723724i	0.138399	−	0.0396004i
$335$	−4.46349	+	5.59704i	−0.243867	+	0.305799i
$336$	−4.15894	−	8.79875i	−0.226889	−	0.480011i
$337$	24.7069	+	19.7031i	1.34587	+	1.07330i	0.990344	+	0.138631i	$0.0442701\pi$
$337$	24.7069	+	19.7031i	1.34587	+	1.07330i	0.355527	+	0.934666i	$0.384301\pi$
$338$	9.31808	+	6.63696i	0.506837	+	0.361003i
$339$	2.06634	−	1.64785i	0.112228	−	0.0894990i
$340$	−10.3932	+	1.13290i	−0.563651	+	0.0614399i
$341$	0.750068	−	1.55753i	0.0406185	−	0.0843451i
$342$	0.848158	−	0.242686i	0.0458631	−	0.0131230i
$343$	−4.23636	−	18.5607i	−0.228742	−	1.00218i
$344$	15.8752	−	6.47481i	0.855933	−	0.349098i
$345$	−1.62433	+	3.37296i	−0.0874510	+	0.181594i
$346$	−18.7872	−	21.0998i	−1.01001	−	1.13433i
$347$			11.5176i			0.618295i	0.951014	+	0.309148i	$0.100044\pi$
$347$			11.5176i			0.618295i	−0.951014	+	0.309148i	$0.899956\pi$
$348$	3.69573	+	4.85718i	0.198112	+	0.260372i
$349$		−	30.3227i		−	1.62314i	−0.584258	−	0.811568i	$-0.698614\pi$
$349$		−	30.3227i		−	1.62314i	0.584258	−	0.811568i	$-0.301386\pi$
$350$	−15.9875	+	14.2353i	−0.854567	+	0.760907i
$351$	3.09415	−	6.42508i	0.165154	−	0.342945i
$352$	−5.93053	+	33.0860i	−0.316098	+	1.76349i
$353$	−2.40392	−	10.5323i	−0.127948	−	0.560576i	−0.997742	−	0.0671616i	$-0.978606\pi$
$353$	−2.40392	−	10.5323i	−0.127948	−	0.560576i	0.869794	−	0.493415i	$-0.164251\pi$
$354$	3.16512	+	11.0617i	0.168224	+	0.587922i
$355$	7.45481	−	15.4801i	0.395660	−	0.821597i
$356$	−2.76463	−	25.3628i	−0.146525	−	1.34423i
$357$	8.18889	−	6.53042i	0.433402	−	0.345627i
$358$	−0.910697	+	1.27859i	−0.0481318	+	0.0675756i
$359$	7.63102	+	6.08554i	0.402750	+	0.321182i	0.803828	−	0.594861i	$-0.202793\pi$
$359$	7.63102	+	6.08554i	0.402750	+	0.321182i	−0.401078	+	0.916044i	$0.631364\pi$
$360$	0.565828	−	9.18325i	0.0298218	−	0.484000i
$361$	−11.8125	+	14.8124i	−0.621710	+	0.779600i
$362$	5.45059	+	19.0492i	0.286477	+	1.00120i
$363$	−3.06520	+	13.4295i	−0.160881	+	0.704866i
$364$	17.9836	−	6.21965i	0.942596	−	0.325998i
$365$	1.47686			0.0773021
$366$	−7.81628	−	1.34262i	−0.408563	−	0.0701798i
$367$	−4.10067	−	8.51513i	−0.214053	−	0.444486i	0.766102	−	0.642720i	$-0.222194\pi$
$367$	−4.10067	−	8.51513i	−0.214053	−	0.444486i	−0.980155	+	0.198233i	$0.936480\pi$
$368$	−9.58414	+	19.5380i	−0.499608	+	1.01849i
$369$	16.2606	−	12.9674i	0.846495	−	0.675058i
$370$	−5.49035	+	0.298350i	−0.285430	+	0.0155105i
$371$	−18.9501	−	4.32524i	−0.983840	−	0.224555i
$372$	0.110030	−	0.310830i	0.00570481	−	0.0161158i
$373$	−8.89665	−	18.4741i	−0.460651	−	0.956551i	−0.993868	−	0.110573i	$-0.964731\pi$
$373$	−8.89665	−	18.4741i	−0.460651	−	0.956551i	0.533217	−	0.845978i	$-0.320983\pi$
$374$	−36.1222	+	1.96291i	−1.86784	+	0.101500i
$375$	5.71942	−	1.30542i	0.295350	−	0.0674116i
$376$	1.09149	−	17.7147i	0.0562894	−	0.913563i
$377$	−10.2241	+	6.15440i	−0.526567	+	0.316968i
$378$	9.42089	+	17.1190i	0.484558	+	0.880508i
$379$	5.53975	+	24.2712i	0.284558	+	1.24673i	0.891879	+	0.452273i	$0.149387\pi$
$379$	5.53975	+	24.2712i	0.284558	+	1.24673i	−0.607321	+	0.794456i	$0.707756\pi$
$380$	−0.299138	−	0.479928i	−0.0153454	−	0.0246198i
$381$	1.87439	+	3.89221i	0.0960280	+	0.199404i
$382$	−15.0288	−	16.8787i	−0.768940	−	0.863589i
$383$	0.454917	−	1.99312i	0.0232452	−	0.101844i	−0.961975	−	0.273139i	$-0.911938\pi$
$383$	0.454917	−	1.99312i	0.0232452	−	0.101844i	0.985220	+	0.171295i	$0.0547952\pi$
$384$	−0.440666	+	6.39609i	−0.0224877	+	0.326399i
$385$	24.2205	−	19.3152i	1.23439	−	0.984395i
$386$	6.34950	+	2.64354i	0.323181	+	0.134553i
$387$	−14.6302	+	7.04553i	−0.743694	+	0.358144i
$388$	−3.12584	+	1.08108i	−0.158690	+	0.0548833i
$389$	28.2172			1.43067			0.715333	−	0.698783i	$-0.246275\pi$
$389$	28.2172			1.43067			0.715333	+	0.698783i	$0.246275\pi$
$390$	−2.12534	−	0.365075i	−0.107621	−	0.0184863i
$391$	−22.8337	−	5.21165i	−1.15475	−	0.263565i
$392$	−9.12189	+	31.0276i	−0.460725	+	1.56713i
$393$	−3.16213	+	3.96519i	−0.159508	+	0.200017i
$394$	25.8891	−	14.2472i	1.30427	−	0.717763i
$395$	−0.651609	+	0.817092i	−0.0327860	+	0.0411123i
$396$	3.67916	−	31.6227i	0.184885	−	1.58910i
$397$	−10.6522	+	8.49483i	−0.534618	+	0.426344i	−0.853225	−	0.521543i	$-0.825356\pi$
$397$	−10.6522	+	8.49483i	−0.534618	+	0.426344i	0.318607	+	0.947887i	$0.396785\pi$
$398$	−9.90766	+	23.7971i	−0.496626	+	1.19284i
$399$	0.510453	+	0.245821i	0.0255546	+	0.0123065i
$400$	13.7708	−	3.03823i	0.688542	−	0.151912i
$401$	2.71338	+	11.8881i	0.135500	+	0.593663i	0.996392	+	0.0848749i	$0.0270491\pi$
$401$	2.71338	+	11.8881i	0.135500	+	0.593663i	−0.860892	+	0.508788i	$0.830094\pi$
$402$	−2.74104	+	3.84834i	−0.136711	+	0.191938i
$403$	0.580857	+	0.279726i	0.0289345	+	0.0139341i
$404$	1.32022	+	0.467344i	0.0656834	+	0.0232512i
$405$			7.54436i			0.374882i
$406$	2.51716	−	32.6013i	0.124925	−	1.61798i
$407$	−19.0257			−0.943069
$408$	−6.80864	+	1.11878i	−0.337078	+	0.0553877i
$409$	−2.02069	+	4.19602i	−0.0999169	+	0.207480i	−0.944935	−	0.327258i	$-0.893875\pi$
$409$	−2.02069	+	4.19602i	−0.0999169	+	0.207480i	0.845018	+	0.534738i	$0.179590\pi$
$410$	−10.8594	−	7.73479i	−0.536308	−	0.381994i
$411$	−0.975290	+	0.222604i	−0.0481075	+	0.0109802i
$412$	−14.0113	−	14.1132i	−0.690286	−	0.695309i
$413$	26.7450	−	55.5365i	1.31603	−	2.73277i
$414$	7.92217	−	19.0282i	0.389353	−	0.935184i
$415$	−10.9743	−	13.7613i	−0.538706	−	0.675516i
$416$	−12.3389	−	2.21170i	−0.604965	−	0.108437i
$417$	7.49196	+	5.97464i	0.366883	+	0.292579i
$418$	−0.943441	−	1.71436i	−0.0461452	−	0.0838521i
$419$	6.45112	+	5.14460i	0.315158	+	0.251330i	0.768273	−	0.640122i	$-0.221116\pi$
$419$	6.45112	+	5.14460i	0.315158	+	0.251330i	−0.453116	+	0.891452i	$0.649688\pi$
$420$	4.19329	−	4.16299i	0.204611	−	0.203133i
$421$	−2.72261	+	11.9285i	−0.132692	+	0.581361i	0.864240	+	0.503081i	$0.167800\pi$
$421$	−2.72261	+	11.9285i	−0.132692	+	0.581361i	−0.996931	+	0.0782804i	$0.975057\pi$
$422$	−6.55987	−	1.12680i	−0.319330	−	0.0548520i
$423$			16.8098i			0.817321i
$424$	9.50125	+	8.58422i	0.461422	+	0.416886i
$425$	6.58503	+	13.6739i	0.319421	+	0.663284i
$426$	4.35842	−	10.4684i	0.211166	−	0.507198i
$427$	26.4913	+	33.2190i	1.28200	+	1.60758i
$428$	−6.50183	−	10.4314i	−0.314278	−	0.504218i
$429$	−7.27471	−	1.66040i	−0.351226	−	0.0801651i
$430$	6.92217	+	7.77423i	0.333817	+	0.374907i
$431$	−27.5929	+	13.2880i	−1.32910	+	0.640061i	−0.957527	−	0.288342i	$-0.906896\pi$
$431$	−27.5929	+	13.2880i	−1.32910	+	0.640061i	−0.371574	+	0.928403i	$0.621182\pi$
$432$	0.0933255	−	12.8721i	0.00449013	−	0.619308i
$433$	5.39144	−	1.23056i	0.259096	−	0.0591370i	−0.0909997	−	0.995851i	$-0.529006\pi$
$433$	5.39144	−	1.23056i	0.259096	−	0.0591370i	0.350096	+	0.936714i	$0.386149\pi$
$434$	−1.54764	+	0.851693i	−0.0742891	+	0.0408826i
$435$	−2.03120	+	3.09930i	−0.0973887	+	0.148600i
$436$	16.6643	+	10.5553i	0.798073	+	0.505507i
$437$	−0.281910	−	1.23513i	−0.0134856	−	0.0590841i
$438$	0.973259	−	0.0528876i	0.0465041	−	0.00252707i
$439$	19.4631	−	9.37291i	0.928921	−	0.447345i	0.0926731	−	0.995697i	$-0.470459\pi$
$439$	19.4631	−	9.37291i	0.928921	−	0.447345i	0.836248	+	0.548352i	$0.184745\pi$
$440$	−20.1381	+	3.30904i	−0.960046	+	0.157752i
$441$	6.81596	−	29.8627i	0.324570	−	1.42203i
$442$	−0.732035	−	13.4712i	−0.0348193	−	0.640760i
$443$	11.0012	+	13.7951i	0.522684	+	0.655425i	0.971176	−	0.238362i	$-0.0766103\pi$
$443$	11.0012	+	13.7951i	0.522684	+	0.655425i	−0.448492	+	0.893787i	$0.648039\pi$
$444$	−3.60750	+	0.393230i	−0.171204	+	0.0186618i
$445$	13.9561	−	6.72090i	0.661582	−	0.318601i
$446$	5.81470	+	0.998805i	0.275334	+	0.0472948i
$447$		−	2.66634i		−	0.126114i
$448$	24.5504	−	24.0221i	1.15990	−	1.13494i
$449$	14.6782	+	3.35021i	0.692709	+	0.158106i	0.554360	−	0.832277i	$-0.312963\pi$
$449$	14.6782	+	3.35021i	0.692709	+	0.158106i	0.138349	+	0.990383i	$0.455820\pi$
$450$	−12.8411	+	3.67425i	−0.605333	+	0.173206i
$451$	−36.0680	−	28.7633i	−1.69838	−	1.35441i
$452$	7.88007	+	4.99131i	0.370647	+	0.234771i
$453$	1.08455	−	1.35998i	0.0509564	−	0.0638974i
$454$	−5.11697	+	7.18407i	−0.240151	+	0.337165i
$455$	7.20330	+	9.03265i	0.337696	+	0.423457i
$456$	−0.214321	−	0.305564i	−0.0100365	−	0.0143093i
$457$	15.3200	+	7.37771i	0.716638	+	0.345115i	0.756413	−	0.654094i	$-0.226950\pi$
$457$	15.3200	+	7.37771i	0.716638	+	0.345115i	−0.0397752	+	0.999209i	$0.512664\pi$
$458$	19.9377	−	5.70484i	0.931628	−	0.266570i
$459$	13.5063	−	3.08272i	0.630418	−	0.143889i
$460$	−13.1242	−	1.52695i	−0.611920	−	0.0711942i
$461$	37.9148	+	18.2588i	1.76587	+	0.850397i	0.969313	+	0.245830i	$0.0790605\pi$
$461$	37.9148	+	18.2588i	1.76587	+	0.850397i	0.796554	+	0.604567i	$0.206654\pi$
$462$	15.2698	−	13.5962i	0.710416	−	0.632554i
$463$	13.8879			0.645423			0.322712	−	0.946497i	$-0.395406\pi$
$463$	13.8879			0.645423			0.322712	+	0.946497i	$0.395406\pi$
$464$	−11.9377	+	17.9302i	−0.554194	+	0.832388i
$465$	0.200193			0.00928375
$466$	−1.06781	+	0.950777i	−0.0494653	+	0.0440439i
$467$	−32.5995	−	15.6991i	−1.50853	−	0.726467i	−0.516952	−	0.856014i	$-0.672933\pi$
$467$	−32.5995	−	15.6991i	−1.50853	−	0.726467i	−0.991573	+	0.129547i	$0.958648\pi$
$468$	11.7932	+	1.37209i	0.545140	+	0.0634247i
$469$	24.6779	−	5.63256i	1.13952	−	0.260088i
$470$	10.3600	−	2.96434i	0.477871	−	0.136735i
$471$	6.57311	+	3.16544i	0.302873	+	0.145856i
$472$	−33.2448	+	23.3177i	−1.53022	+	1.07329i
$473$	22.4571	+	28.1603i	1.03258	+	1.29481i
$474$	−0.400154	+	0.561804i	−0.0183797	+	0.0258045i
$475$	−0.511856	+	0.641847i	−0.0234856	+	0.0294500i
$476$	31.2286	+	19.7805i	1.43136	+	0.906639i
$477$	−9.48184	−	7.56152i	−0.434144	−	0.346218i
$478$	4.09894	−	1.17284i	0.187481	−	0.0536446i
$479$	18.8289	+	4.29756i	0.860312	+	0.196361i	0.629846	−	0.776720i	$-0.283118\pi$
$479$	18.8289	+	4.29756i	0.860312	+	0.196361i	0.230466	+	0.973080i	$0.425975\pi$
$480$	−3.75003	+	1.04365i	−0.171165	+	0.0476361i
$481$		−	7.09533i		−	0.323519i
$482$	37.0640	+	6.36657i	1.68822	+	0.289989i
$483$	11.9262	−	5.74333i	0.542659	−	0.261331i
$484$	−48.3298	+	5.26811i	−2.19681	+	0.239460i
$485$	−1.25205	−	1.57002i	−0.0568527	−	0.0712910i
$486$	1.01101	+	18.6049i	0.0458601	+	0.843937i
$487$	−6.98483	+	30.6025i	−0.316513	+	1.38673i	0.527110	+	0.849797i	$0.323276\pi$
$487$	−6.98483	+	30.6025i	−0.316513	+	1.38673i	−0.843623	+	0.536936i	$0.819582\pi$
$488$	−4.53842	−	27.6199i	−0.205445	−	1.25029i
$489$	−6.17714	+	2.97475i	−0.279340	+	0.134523i
$490$	−19.6065	+	1.06543i	−0.885732	+	0.0481313i
$491$	−0.330385	−	1.44751i	−0.0149101	−	0.0653253i	0.966926	−	0.255059i	$-0.0820948\pi$
$491$	−0.330385	−	1.44751i	−0.0149101	−	0.0653253i	−0.981836	+	0.189733i	$0.939238\pi$
$492$	−7.43342	−	4.70840i	−0.335124	−	0.212271i
$493$	−21.7311	−	8.07422i	−0.978718	−	0.363645i
$494$	0.639343	−	0.351841i	0.0287654	−	0.0158301i
$495$	18.8445	−	4.30112i	0.846995	−	0.193321i
$496$	1.16369	+	0.00843706i	0.0522514	+	0.000378835i
$497$	−54.7347	+	26.3588i	−2.45519	+	1.18236i
$498$	−7.72494	−	8.67581i	−0.346163	−	0.388772i
$499$	10.6124	+	2.42221i	0.475077	+	0.108433i	0.453354	−	0.891331i	$-0.350228\pi$
$499$	10.6124	+	2.42221i	0.475077	+	0.108433i	0.0217235	+	0.999764i	$0.493085\pi$
$500$	10.9520	+	17.5711i	0.489789	+	0.785804i
$501$	0.657272	+	0.824192i	0.0293647	+	0.0368222i
$502$	−6.84823	+	16.4487i	−0.305651	+	0.734141i
$503$	5.85815	+	12.1646i	0.261202	+	0.542392i	0.989785	−	0.142566i	$-0.0455352\pi$
$503$	5.85815	+	12.1646i	0.261202	+	0.542392i	−0.728583	+	0.684957i	$0.759821\pi$
$504$	−21.8091	+	24.1389i	−0.971453	+	1.07523i
$505$			0.850303i			0.0378380i
$506$	−45.0587	−	7.73984i	−2.00311	−	0.344078i
$507$	−1.02005	+	4.46915i	−0.0453022	+	0.198482i
$508$	−10.8201	+	10.7420i	−0.480066	+	0.476598i
$509$	−23.4985	−	18.7394i	−1.04155	−	0.830611i	−0.0557377	−	0.998445i	$-0.517751\pi$
$509$	−23.4985	−	18.7394i	−1.04155	−	0.830611i	−0.985815	+	0.167835i	$0.946322\pi$
$510$	−2.01977	−	3.67020i	−0.0894371	−	0.162519i
$511$	−4.08264	−	3.25579i	−0.180605	−	0.144028i
$512$	−21.8424	+	5.90857i	−0.965305	+	0.261124i
$513$	0.467225	+	0.585882i	0.0206285	+	0.0258673i
$514$	−2.13048	+	5.11719i	−0.0939716	+	0.225710i
$515$	5.23888	−	10.8786i	0.230852	−	0.479370i
$516$	4.84017	+	4.87539i	0.213076	+	0.214627i
$517$	36.3513	−	8.29694i	1.59873	−	0.364899i
$518$	15.8353	+	11.2790i	0.695764	+	0.495570i
$519$	4.91180	−	10.1995i	0.215604	−	0.447707i
$520$	−1.23405	−	7.51018i	−0.0541168	−	0.329343i
$521$	28.8182			1.26255			0.631274	−	0.775560i	$-0.282532\pi$
$521$	28.8182			1.26255			0.631274	+	0.775560i	$0.282532\pi$
$522$	10.2407	−	17.6453i	0.448224	−	0.772314i
$523$		−	9.14034i		−	0.399679i	−0.979829	−	0.199840i	$-0.935958\pi$
$523$		−	9.14034i		−	0.399679i	0.979829	−	0.199840i	$-0.0640421\pi$
$524$	−16.8736	−	5.97306i	−0.737125	−	0.260934i
$525$	−7.72823	−	3.72172i	−0.337288	−	0.162429i
$526$	6.51626	−	9.14863i	0.284122	−	0.398899i
$527$	0.278692	+	1.22103i	0.0121400	+	0.0531889i
$528$	−13.1527	+	2.90185i	−0.572396	+	0.126287i
$529$	−5.94588	−	2.86338i	−0.258516	−	0.124495i
$530$	−2.98813	+	7.17716i	−0.129796	+	0.311756i
$531$	30.0692	−	23.9794i	1.30489	−	1.04062i
$532$	−0.231083	+	1.98618i	−0.0100187	+	0.0861119i
$533$	10.7268	−	13.4510i	0.464629	−	0.582627i
$534$	8.95649	−	4.92891i	0.387585	−	0.213295i
$535$	4.65302	−	5.83470i	0.201167	−	0.252256i
$536$	−15.9981	−	4.70332i	−0.691011	−	0.203153i
$537$	−0.613239	−	0.139968i	−0.0264632	−	0.00604006i
$538$	−12.2626	−	2.10638i	−0.528679	−	0.0908125i
$539$	−67.9424			−2.92649
$540$	7.38614	−	2.55451i	0.317849	−	0.109928i
$541$	−38.0735	+	18.3352i	−1.63691	+	0.788292i	−0.637059	+	0.770815i	$0.719849\pi$
$541$	−38.0735	+	18.3352i	−1.63691	+	0.788292i	−0.999847	+	0.0174771i	$0.994437\pi$
$542$	25.7691	+	10.7287i	1.10688	+	0.460836i
$543$	−6.20725	+	4.95012i	−0.266379	+	0.212430i
$544$	−11.5860	−	21.4195i	−0.496744	−	0.918353i
$545$	−2.66502	+	11.6762i	−0.114157	+	0.500154i
$546$	5.07050	+	5.69463i	0.216997	+	0.243708i
$547$	15.3697	+	31.9155i	0.657160	+	1.36461i	0.916973	+	0.398948i	$0.130625\pi$
$547$	15.3697	+	31.9155i	0.657160	+	1.36461i	−0.259813	+	0.965659i	$0.583661\pi$
$548$	−1.86757	−	2.99627i	−0.0797785	−	0.127994i
$549$	5.89909	+	25.8456i	0.251767	+	1.10306i
$550$	14.2836	+	25.9553i	0.609056	+	1.10674i
$551$	−0.116522	−	1.24857i	−0.00496399	−	0.0531909i
$552$	−8.70365	−	0.536277i	−0.370452	−	0.0228255i
$553$	3.60263	−	0.822277i	0.153199	−	0.0349668i
$554$	26.0478	−	1.41546i	1.10667	−	0.0601371i
$555$	−0.955953	−	1.98506i	−0.0405779	−	0.0842610i
$556$	−11.2857	+	31.8815i	−0.478621	+	1.35208i
$557$	26.6686	+	6.08693i	1.12998	+	0.257911i	0.746337	−	0.665568i	$-0.231811\pi$
$557$	26.6686	+	6.08693i	1.12998	+	0.257911i	0.383647	+	0.923480i	$0.374668\pi$
$558$	−1.10057	+	0.0598058i	−0.0465908	+	0.00253178i
$559$	−10.5019	+	8.37502i	−0.444185	+	0.354226i
$560$	18.7229	+	9.18428i	0.791186	+	0.388107i
$561$	−6.28942	−	13.0601i	−0.265540	−	0.551399i
$562$	35.8235	+	6.15348i	1.51112	+	0.259569i
$563$	−11.2408			−0.473745			−0.236872	−	0.971541i	$-0.576122\pi$
$563$	−11.2408			−0.473745			−0.236872	+	0.971541i	$0.576122\pi$
$564$	6.72116	−	2.32452i	0.283012	−	0.0978800i
$565$	−1.26021	+	5.52135i	−0.0530175	+	0.232285i
$566$	0.792333	+	2.76911i	0.0333042	+	0.116394i
$567$	16.6319	−	20.8557i	0.698474	−	0.875858i
$568$	39.9451	+	2.46123i	1.67606	+	0.103271i
$569$	8.21734	+	6.55311i	0.344489	+	0.274721i	0.780415	−	0.625262i	$-0.215008\pi$
$569$	8.21734	+	6.55311i	0.344489	+	0.274721i	−0.435926	+	0.899982i	$0.643579\pi$
$570$	0.131465	−	0.184573i	0.00550647	−	0.00773092i
$571$	−4.91506	+	3.91963i	−0.205689	+	0.164031i	−0.720916	−	0.693022i	$-0.756279\pi$
$571$	−4.91506	+	3.91963i	−0.205689	+	0.164031i	0.515228	+	0.857053i	$0.327707\pi$
$572$	−2.85371	−	26.1801i	−0.119320	−	1.09464i
$573$	3.92918	−	8.15903i	0.164144	−	0.340848i
$574$	12.9682	+	45.3222i	0.541281	+	1.89171i
$575$	4.26809	+	18.6997i	0.177992	+	0.779833i
$576$	20.3041	−	6.85781i	0.846006	−	0.285742i
$577$	−16.0303	+	33.2873i	−0.667352	+	1.38577i	0.242219	+	0.970222i	$0.422125\pi$
$577$	−16.0303	+	33.2873i	−0.667352	+	1.38577i	−0.909571	+	0.415549i	$0.863590\pi$
$578$	1.61826	−	1.44090i	0.0673108	−	0.0599335i
$579$			2.75596i			0.114534i
$580$	−12.6808	−	3.19974i	−0.526542	−	0.132862i
$581$			62.2353i			2.58195i
$582$	−0.881335	−	0.989819i	−0.0365325	−	0.0410293i
$583$	−11.6718	+	24.2367i	−0.483396	+	1.00378i
$584$	1.29914	+	3.18528i	0.0537587	+	0.131808i
$585$	1.60403	+	7.02773i	0.0663187	+	0.290561i
$586$	−10.2143	+	2.92265i	−0.421948	+	0.120733i
$587$	−11.5710	+	24.0275i	−0.477587	+	0.991719i	0.513449	+	0.858120i	$0.328368\pi$
$587$	−11.5710	+	24.0275i	−0.477587	+	0.991719i	−0.991035	+	0.133599i	$0.957347\pi$
$588$	−12.8827	+	1.40426i	−0.531273	+	0.0579106i
$589$	−0.0529665	+	0.0422393i	−0.00218245	+	0.00174044i
$590$	−20.0812	−	14.3032i	−0.826732	−	0.588853i
$591$	9.25762	+	7.38270i	0.380808	+	0.303684i
$592$	−5.47315	−	11.5791i	−0.224945	−	0.475899i
$593$	23.7893	−	29.8308i	0.976909	−	1.22501i	0.00255218	−	0.999997i	$-0.499188\pi$
$593$	23.7893	−	29.8308i	0.976909	−	1.22501i	0.974357	−	0.225008i	$-0.0722410\pi$
$594$	25.9994	−	7.43929i	1.06677	−	0.305238i
$595$	−4.99421	+	21.8811i	−0.204743	+	0.897037i
$596$	8.89354	−	3.07584i	0.364294	−	0.125991i
$597$	−10.3290			−0.422738
$598$	2.88645	−	16.8039i	0.118036	−	0.687164i
$599$	−19.2714	−	40.0175i	−0.787408	−	1.63507i	−0.772362	−	0.635182i	$-0.780925\pi$
$599$	−19.2714	−	40.0175i	−0.787408	−	1.63507i	−0.0150455	−	0.999887i	$-0.504789\pi$
$600$	3.24480	+	4.62622i	0.132468	+	0.188865i
$601$	11.2963	−	9.00853i	0.460787	−	0.367466i	−0.365410	−	0.930847i	$-0.619071\pi$
$601$	11.2963	−	9.00853i	0.460787	−	0.367466i	0.826197	+	0.563381i	$0.190500\pi$
$602$	−1.99710	−	36.7514i	−0.0813957	−	1.49788i
$603$	15.3974	+	3.51437i	0.627032	+	0.143116i
$604$	5.78729	+	2.04864i	0.235482	+	0.0833580i
$605$	−12.8069	−	26.5939i	−0.520676	−	1.08120i
$606$	0.0304502	+	0.560356i	0.00123695	+	0.0227629i
$607$	−15.4558	+	3.52768i	−0.627331	+	0.143184i	−0.524355	−	0.851500i	$-0.675694\pi$
$607$	−15.4558	+	3.52768i	−0.627331	+	0.143184i	−0.102976	+	0.994684i	$0.532836\pi$
$608$	0.771967	−	1.06736i	0.0313074	−	0.0432870i
$609$	12.4476	−	4.08987i	0.504404	−	0.165730i
$610$	14.8885	−	8.19340i	0.602819	−	0.331741i
$611$	3.09421	+	13.5566i	0.125178	+	0.548442i
$612$	12.2002	+	19.5737i	0.493164	+	0.791219i
$613$	−9.38166	−	19.4812i	−0.378922	−	0.786839i	−0.999995	−	0.00308671i	$-0.999017\pi$
$613$	−9.38166	−	19.4812i	−0.378922	−	0.786839i	0.621074	−	0.783752i	$-0.286697\pi$
$614$	12.9637	−	11.5429i	0.523173	−	0.465833i
$615$	1.18878	−	5.20840i	0.0479364	−	0.210023i
$616$	62.9649	+	35.2478i	2.53693	+	1.42017i
$617$	19.3818	−	15.4565i	0.780281	−	0.622253i	−0.150174	−	0.988660i	$-0.547983\pi$
$617$	19.3818	−	15.4565i	0.780281	−	0.622253i	0.930455	+	0.366406i	$0.119412\pi$
$618$	3.06288	−	7.35671i	0.123207	−	0.295930i
$619$	9.28227	−	4.47011i	0.373086	−	0.179669i	−0.237939	−	0.971280i	$-0.576472\pi$
$619$	9.28227	−	4.47011i	0.373086	−	0.179669i	0.611025	+	0.791611i	$0.290758\pi$
$620$	0.230939	+	0.667742i	0.00927475	+	0.0268171i
$621$	17.5082			0.702580
$622$	1.12330	−	6.53945i	0.0450401	−	0.262208i
$623$	−53.3969	−	12.1875i	−2.13930	−	0.488282i
$624$	−1.08220	−	4.90507i	−0.0433225	−	0.196360i
$625$	3.15280	−	3.95348i	0.126112	−	0.158139i
$626$	−3.01325	−	5.47549i	−0.120434	−	0.218844i
$627$	0.488879	−	0.613034i	0.0195239	−	0.0244822i
$628$	−2.97566	+	25.5761i	−0.118742	+	1.02060i
$629$	10.7765	−	8.59401i	0.429689	−	0.342666i
$630$	−18.2343	−	7.59165i	−0.726472	−	0.302458i
$631$	−3.28083	−	1.57997i	−0.130608	−	0.0628974i	0.367439	−	0.930048i	$-0.380235\pi$
$631$	−3.28083	−	1.57997i	−0.130608	−	0.0628974i	−0.498046	+	0.867150i	$0.665949\pi$
$632$	−2.33550	−	0.686621i	−0.0929011	−	0.0273123i
$633$	−0.593476	−	2.60019i	−0.0235886	−	0.103348i
$634$	9.72418	+	6.92621i	0.386197	+	0.275075i
$635$	−8.34029	−	4.01647i	−0.330974	−	0.159389i
$636$	−1.71218	+	4.83681i	−0.0678923	+	0.191792i
$637$		−	25.3380i		−	1.00393i
$638$	−43.2127	−	13.4363i	−1.71081	−	0.531947i
$639$	−37.9047			−1.49949
$640$	−7.80705	−	11.3042i	−0.308601	−	0.446839i
$641$	−13.3457	+	27.7126i	−0.527124	+	1.09458i	0.452131	+	0.891951i	$0.350664\pi$
$641$	−13.3457	+	27.7126i	−0.527124	+	1.09458i	−0.979255	+	0.202632i	$0.935050\pi$
$642$	2.85743	−	4.01174i	0.112774	−	0.158331i
$643$	−22.5280	+	5.14186i	−0.888416	+	0.202775i	−0.642289	−	0.766462i	$-0.722015\pi$
$643$	−22.5280	+	5.14186i	−0.888416	+	0.202775i	−0.246127	+	0.969238i	$0.579158\pi$
$644$	32.9146	+	33.1541i	1.29702	+	1.30645i
$645$	−1.80976	+	3.75800i	−0.0712592	+	0.147971i
$646$	1.30877	+	0.544892i	0.0514929	+	0.0214385i
$647$	−25.4515	−	31.9152i	−1.00060	−	1.25471i	−0.966866	−	0.255284i	$-0.917831\pi$
$647$	−25.4515	−	31.9152i	−1.00060	−	1.25471i	−0.0337354	−	0.999431i	$-0.510740\pi$
$648$	−16.2717	+	6.63651i	−0.639211	+	0.260707i
$649$	−66.6971	−	53.1892i	−2.61809	−	2.08786i
$650$	−9.67961	+	5.32685i	−0.379666	+	0.208936i
$651$	−0.553417	−	0.441336i	−0.0216901	−	0.0172973i
$652$	−17.0481	−	17.1721i	−0.667654	−	0.672512i
$653$	2.93356	−	12.8528i	0.114799	−	0.502968i	−0.884535	−	0.466474i	$-0.845524\pi$
$653$	2.93356	−	12.8528i	0.114799	−	0.502968i	0.999334	−	0.0364936i	$-0.0116189\pi$
$654$	−1.33813	+	7.79014i	−0.0523250	+	0.304619i
$655$		−	10.8676i		−	0.424633i
$656$	7.12972	−	30.2255i	0.278369	−	1.18011i
$657$	−1.41365	−	2.93547i	−0.0551517	−	0.114524i
$658$	−35.1743	−	14.6444i	−1.37124	−	0.570899i
$659$	3.13657	+	3.93314i	0.122184	+	0.153213i	0.839161	−	0.543883i	$-0.183046\pi$
$659$	3.13657	+	3.93314i	0.122184	+	0.153213i	−0.716978	+	0.697096i	$0.754475\pi$
$660$	−4.32562	−	6.93990i	−0.168375	−	0.270135i
$661$	−22.5899	−	5.15600i	−0.878645	−	0.200545i	−0.240675	−	0.970606i	$-0.577369\pi$
$661$	−22.5899	−	5.15600i	−0.878645	−	0.200545i	−0.637970	+	0.770061i	$0.720226\pi$
$662$	−5.15455	+	4.58961i	−0.200337	+	0.178380i
$663$	4.87056	−	2.34554i	0.189157	−	0.0910931i
$664$	20.0267	−	35.7746i	0.777185	−	1.38833i
$665$	−1.18360	+	0.270148i	−0.0458979	+	0.0104759i
$666$	5.84840	+	10.6273i	0.226621	+	0.411801i
$667$	−24.5045	−	16.0596i	−0.948819	−	0.621831i
$668$	−1.99086	+	3.14309i	−0.0770288	+	0.121610i
$669$	0.526060	+	2.30482i	0.0203387	+	0.0891095i
$670$	−0.549346	−	10.1093i	−0.0212231	−	0.390556i
$671$	52.9796	−	25.5136i	2.04525	−	0.984942i
$672$	12.6674	+	5.38202i	0.488656	+	0.207616i
$673$	2.78600	−	12.2063i	0.107392	−	0.470517i	−0.892421	−	0.451204i	$-0.850995\pi$
$673$	2.78600	−	12.2063i	0.107392	−	0.470517i	0.999813	−	0.0193134i	$-0.00614803\pi$
$674$	−44.6252	+	2.42497i	−1.71890	+	0.0934062i
$675$	−7.07376	−	8.87021i	−0.272269	−	0.341415i
$676$	−16.0835	+	1.75315i	−0.618595	+	0.0674289i
$677$	−9.54453	+	4.59640i	−0.366826	+	0.176654i	−0.608211	−	0.793775i	$-0.708113\pi$
$677$	−9.54453	+	4.59640i	−0.366826	+	0.176654i	0.241385	+	0.970429i	$0.422398\pi$
$678$	−0.632765	+	3.68374i	−0.0243012	+	0.141473i
$679$			7.10039i			0.272488i
$680$	9.91193	−	10.9708i	0.380105	−	0.420711i
$681$	−3.44563	−	0.786443i	−0.132037	−	0.0301366i
$682$	0.672547	+	2.35047i	0.0257532	+	0.0900041i
$683$	23.9711	+	19.1163i	0.917228	+	0.731465i	0.963569	−	0.267461i	$-0.0861847\pi$
$683$	23.9711	+	19.1163i	0.917228	+	0.731465i	−0.0463411	+	0.998926i	$0.514756\pi$
$684$	−0.667595	+	1.05397i	−0.0255261	+	0.0402996i
$685$	1.33652	−	1.67594i	0.0510657	−	0.0640344i
$686$	21.9298	+	15.6198i	0.837282	+	0.596368i
$687$	5.18102	+	6.49679i	0.197668	+	0.247868i
$688$	−10.6782	+	21.7684i	−0.407104	+	0.829914i
$689$	−9.03870	−	4.35281i	−0.344347	−	0.165829i
$690$	−1.45645	−	5.09012i	−0.0554462	−	0.193778i
$691$	32.7374	−	7.47210i	1.24539	−	0.284252i	0.451476	−	0.892283i	$-0.350898\pi$
$691$	32.7374	−	7.47210i	1.24539	−	0.284252i	0.793913	+	0.608031i	$0.208040\pi$
$692$	39.6863	+	4.61732i	1.50865	+	0.175524i
$693$	−61.5759	−	29.6534i	−2.33907	−	1.12644i
$694$	−10.8316	−	12.1649i	−0.411163	−	0.461773i
$695$	−20.5337			−0.778886
$696$	−8.47134	−	1.65454i	−0.321105	−	0.0627153i
$697$	33.4222			1.26596
$698$	28.5168	+	32.0269i	1.07938	+	1.21224i
$699$	−0.516170	−	0.248575i	−0.0195234	−	0.00940195i
$700$	3.49859	−	30.0707i	0.132234	−	1.13656i
$701$	3.16180	−	0.721660i	0.119419	−	0.0272567i	−0.162393	−	0.986726i	$-0.551921\pi$
$701$	3.16180	−	0.721660i	0.119419	−	0.0272567i	0.281813	+	0.959469i	$0.409064\pi$
$702$	2.77436	+	9.69606i	0.104712	+	0.365954i
$703$	0.671755	+	0.323500i	0.0253357	+	0.0122010i
$704$	−24.8517	−	40.5229i	−0.936634	−	1.52727i
$705$	2.69215	+	3.37585i	0.101392	+	0.127142i
$706$	12.4440	+	8.86347i	0.468337	+	0.333581i
$707$	1.87453	−	2.35059i	0.0704991	−	0.0884030i
$708$	−13.7459	−	8.70679i	−0.516603	−	0.327221i
$709$	23.9209	+	19.0763i	0.898370	+	0.716426i	0.959501	−	0.281704i	$-0.0908995\pi$
$709$	23.9209	+	19.0763i	0.898370	+	0.716426i	−0.0611317	+	0.998130i	$0.519471\pi$
$710$	6.68433	+	23.3609i	0.250859	+	0.876720i
$711$	2.24782	+	0.513049i	0.0842997	+	0.0192408i
$712$	26.7723	+	24.1883i	1.00333	+	0.906495i
$713$			1.58282i			0.0592772i
$714$	−2.50764	+	14.5986i	−0.0938462	+	0.546341i
$715$	14.4058	−	6.93746i	0.538746	−	0.259446i
$716$	−0.240561	−	2.20691i	−0.00899018	−	0.0824761i
$717$	1.06515	+	1.33566i	0.0397788	+	0.0498811i
$718$	−13.7830	+	0.748979i	−0.514378	+	0.0279517i
$719$	6.39581	−	28.0219i	0.238523	−	1.04504i	−0.703817	−	0.710382i	$-0.748522\pi$
$719$	6.39581	−	28.0219i	0.238523	−	1.04504i	0.942340	−	0.334657i	$-0.108621\pi$
$720$	8.03870	+	10.2315i	0.299585	+	0.381306i
$721$	−38.4649	+	18.5237i	−1.43251	+	0.689859i
$722$	−1.45383	−	26.7539i	−0.0541058	−	0.995677i
$723$	3.35321	+	14.6914i	0.124707	+	0.546377i
$724$	−23.6716	−	14.9938i	−0.879748	−	0.557240i
$725$	1.76413	+	18.9033i	0.0655182	+	0.702050i
$726$	−9.39222	−	17.0669i	−0.348578	−	0.633414i
$727$	30.1122	−	6.87292i	1.11680	−	0.254903i	0.375995	−	0.926622i	$-0.377301\pi$
$727$	30.1122	−	6.87292i	1.11680	−	0.254903i	0.740806	+	0.671719i	$0.234444\pi$
$728$	−13.1451	+	23.4818i	−0.487190	+	0.870292i
$729$	10.0665	−	4.84775i	0.372832	−	0.179546i
$730$	−1.55986	+	1.38890i	−0.0577330	+	0.0514055i
$731$	−25.4404	−	5.80660i	−0.940946	−	0.214765i
$732$	9.51824	−	5.93269i	0.351804	−	0.219278i
$733$	3.55008	+	4.45166i	0.131125	+	0.164426i	0.843060	−	0.537820i	$-0.180752\pi$
$733$	3.55008	+	4.45166i	0.131125	+	0.164426i	−0.711934	+	0.702246i	$0.752181\pi$
$734$	12.3391	+	5.13726i	0.455446	+	0.189620i
$735$	−3.41379	−	7.08881i	−0.125920	−	0.261475i
$736$	−8.25162	−	29.6495i	−0.304159	−	1.09289i
$737$		−	35.0316i		−	1.29041i
$738$	−4.97942	+	28.9885i	−0.183295	+	1.06708i
$739$	8.06393	−	35.3304i	0.296636	−	1.29965i	−0.578464	−	0.815708i	$-0.696348\pi$
$739$	8.06393	−	35.3304i	0.296636	−	1.29965i	0.875101	−	0.483941i	$-0.160795\pi$
$740$	5.51835	−	5.47848i	0.202859	−	0.201393i
$741$	0.228621	+	0.182319i	0.00839861	+	0.00669767i
$742$	24.0828	−	13.2532i	0.884107	−	0.486539i
$743$	21.3483	+	17.0247i	0.783194	+	0.624576i	0.931241	−	0.364404i	$-0.118727\pi$
$743$	21.3483	+	17.0247i	0.783194	+	0.624576i	−0.148047	+	0.988980i	$0.547299\pi$
$744$	0.176103	+	0.431777i	0.00645626	+	0.0158297i
$745$	3.56229	+	4.46698i	0.130512	+	0.163657i
$746$	26.7705	+	11.1456i	0.980137	+	0.408069i
$747$	−16.8481	+	34.9854i	−0.616439	+	1.28005i
$748$	36.3064	−	36.0441i	1.32749	−	1.31790i
$749$	−25.7257	+	5.87173i	−0.939997	+	0.214548i
$750$	−4.81320	+	6.75758i	−0.175753	+	0.246752i
$751$	−0.994156	+	2.06439i	−0.0362773	+	0.0753305i	−0.918320	−	0.395839i	$-0.870454\pi$
$751$	−0.994156	+	2.06439i	−0.0362773	+	0.0753305i	0.882043	+	0.471170i	$0.156168\pi$
$752$	15.5068	+	19.7368i	0.565474	+	0.719726i
$753$	−7.13946			−0.260177
$754$	5.01084	−	16.1155i	0.182484	−	0.586890i
$755$			3.72738i			0.135653i
$756$	−26.0499	−	9.22137i	−0.947425	−	0.335378i
$757$	−3.65517	−	1.76024i	−0.132849	−	0.0639769i	0.366278	−	0.930505i	$-0.380632\pi$
$757$	−3.65517	−	1.76024i	−0.132849	−	0.0639769i	−0.499128	+	0.866528i	$0.666346\pi$
$758$	−28.6768	−	20.4255i	−1.04159	−	0.741889i
$759$	−4.07650	−	17.8603i	−0.147967	−	0.648288i
$760$	0.767296	+	0.225580i	0.0278327	+	0.00818264i
$761$	−40.5937	−	19.5489i	−1.47152	−	0.708647i	−0.485340	−	0.874325i	$-0.661304\pi$
$761$	−40.5937	−	19.5489i	−1.47152	−	0.708647i	−0.986180	+	0.165679i	$0.947019\pi$
$762$	−5.64015	−	2.34821i	−0.204321	−	0.0850667i
$763$	33.1079	−	26.4027i	1.19859	−	0.955842i
$764$	31.7469	+	3.69361i	1.14856	+	0.133630i
$765$	−8.73105	+	10.9484i	−0.315672	+	0.395840i
$766$	1.39393	+	2.53296i	0.0503648	+	0.0915197i
$767$	19.8360	−	24.8736i	0.716238	−	0.898134i
$768$	−5.54972	−	7.16999i	−0.200258	−	0.258725i
$769$	−41.7093	−	9.51988i	−1.50408	−	0.343296i	−0.610431	−	0.792070i	$-0.709004\pi$
$769$	−41.7093	−	9.51988i	−1.50408	−	0.343296i	−0.893645	+	0.448774i	$0.851861\pi$
$770$	−7.41693	+	43.1788i	−0.267287	+	1.55606i
$771$	−2.22109			−0.0799905
$772$	−9.19246	+	3.17923i	−0.330844	+	0.114423i
$773$	11.6739	−	5.62185i	0.419880	−	0.202204i	−0.212000	−	0.977270i	$-0.567998\pi$
$773$	11.6739	−	5.62185i	0.419880	−	0.202204i	0.631880	+	0.775066i	$0.282283\pi$
$774$	8.82654	−	21.2004i	0.317263	−	0.762032i
$775$	0.801909	−	0.639501i	0.0288054	−	0.0229715i
$776$	2.28483	−	4.08151i	0.0820207	−	0.146518i
$777$	−1.73350	+	7.59496i	−0.0621889	+	0.272468i
$778$	−29.8031	+	26.5366i	−1.06849	+	0.951385i
$779$	0.784410	+	1.62884i	0.0281044	+	0.0583594i
$780$	2.58812	−	1.61317i	0.0926697	−	0.0577608i
$781$	18.7089	+	81.9692i	0.669458	+	2.93309i
$782$	29.0183	−	15.9693i	1.03769	−	0.571060i
$783$	17.1807	+	2.26967i	0.613990	+	0.0811114i
$784$	−19.5451	−	41.3500i	−0.698039	−	1.47679i
$785$	−15.2412	+	3.47869i	−0.543980	+	0.124160i
$786$	−0.389180	−	7.16185i	−0.0138816	−	0.255455i
$787$	9.06744	+	18.8287i	0.323219	+	0.671172i	0.997748	−	0.0670771i	$-0.0213673\pi$
$787$	9.06744	+	18.8287i	0.323219	+	0.671172i	−0.674529	+	0.738249i	$0.735653\pi$
$788$	−13.9455	+	39.3952i	−0.496786	+	1.40339i
$789$	4.38787	+	1.00150i	0.156212	+	0.0356545i
$790$	−0.0801969	−	1.47582i	−0.00285328	−	0.0525072i
$791$	15.6558	−	12.4851i	0.556657	−	0.443919i
$792$	25.8535	+	36.8601i	0.918663	+	1.30977i
$793$	9.51489	+	19.7579i	0.337884	+	0.701623i
$794$	3.26196	−	18.9901i	0.115763	−	0.673932i
$795$	−3.11521			−0.110485
$796$	−11.9153	−	34.4522i	−0.422328	−	1.22113i
$797$	−7.29246	+	31.9503i	−0.258312	+	1.13174i	0.664743	+	0.747072i	$0.268541\pi$
$797$	−7.29246	+	31.9503i	−0.258312	+	1.13174i	−0.923055	+	0.384667i	$0.874316\pi$
$798$	−0.770324	+	0.220415i	−0.0272692	+	0.00780261i
$799$	−16.8424	+	21.1196i	−0.595840	+	0.747159i
$800$	−11.6875	+	16.1597i	−0.413216	+	0.571331i
$801$	−26.7176	−	21.3066i	−0.944021	−	0.752831i
$802$	−14.0460	−	10.0045i	−0.495980	−	0.353270i
$803$	−5.65023	+	4.50591i	−0.199392	+	0.159010i
$804$	−0.724046	−	6.64242i	−0.0255351	−	0.234260i
$805$	−12.3069	+	25.5555i	−0.433761	+	0.900714i
$806$	−0.876569	+	0.250815i	−0.0308758	+	0.00883460i
$807$	−1.10941	−	4.86063i	−0.0390530	−	0.171102i
$808$	−1.83393	+	0.747982i	−0.0645175	+	0.0263139i
$809$	−3.10915	+	6.45622i	−0.109312	+	0.226989i	−0.948448	−	0.316933i	$-0.897347\pi$
$809$	−3.10915	+	6.45622i	−0.109312	+	0.226989i	0.839136	+	0.543922i	$0.183061\pi$
$810$	−7.09505	−	7.96838i	−0.249295	−	0.279980i
$811$		−	45.0699i		−	1.58262i	−0.611417	−	0.791309i	$-0.709400\pi$
$811$		−	45.0699i		−	1.58262i	0.611417	−	0.791309i	$-0.290600\pi$
$812$	28.0010	+	36.8009i	0.982644	+	1.29146i
$813$			11.1849i			0.392272i
$814$	20.0950	−	17.8926i	0.704330	−	0.627135i
$815$	6.37434	−	13.2365i	0.223283	−	0.463653i
$816$	6.13916	−	7.58479i	0.214914	−	0.265521i
$817$	−0.314091	−	1.37612i	−0.0109887	−	0.0481445i
$818$	−1.81185	−	6.33220i	−0.0633499	−	0.221400i
$819$	11.0587	−	22.9637i	0.386424	−	0.802417i
$820$	18.7439	−	2.04314i	0.654564	−	0.0713497i
$821$	10.8176	−	8.62673i	0.377536	−	0.301075i	−0.416276	−	0.909238i	$-0.636665\pi$
$821$	10.8176	−	8.62673i	0.377536	−	0.301075i	0.793812	+	0.608164i	$0.208094\pi$
$822$	0.820759	−	1.15232i	0.0286273	−	0.0401918i
$823$	7.44804	+	5.93961i	0.259622	+	0.207042i	0.744647	−	0.667459i	$-0.232618\pi$
$823$	7.44804	+	5.93961i	0.259622	+	0.207042i	−0.485025	+	0.874501i	$0.661189\pi$
$824$	28.0715	+	1.72963i	0.977916	+	0.0602545i
$825$	−7.40159	+	9.28130i	−0.257690	+	0.323133i
$826$	23.9808	+	83.8100i	0.834399	+	2.91612i
$827$	8.23494	−	36.0796i	0.286357	−	1.25461i	−0.603127	−	0.797645i	$-0.706079\pi$
$827$	8.23494	−	36.0796i	0.286357	−	1.25461i	0.889484	−	0.456966i	$-0.151064\pi$
$828$	9.52751	+	27.5480i	0.331104	+	0.957359i
$829$	−2.33262			−0.0810154			−0.0405077	−	0.999179i	$-0.512898\pi$
$829$	−2.33262			−0.0810154			−0.0405077	+	0.999179i	$0.512898\pi$
$830$	24.5328	+	4.21406i	0.851546	+	0.146272i
$831$	4.53532	+	9.41769i	0.157328	+	0.326696i
$832$	15.1124	−	9.26804i	0.523927	−	0.321312i
$833$	38.4840	−	30.6899i	1.33339	−	1.06334i
$834$	−13.5318	+	0.735330i	−0.468569	+	0.0254624i
$835$	−2.20228	−	0.502656i	−0.0762130	−	0.0173951i
$836$	2.60873	+	0.923461i	0.0902247	+	0.0319386i
$837$	−0.406222	−	0.843529i	−0.0140411	−	0.0291566i
$838$	−11.6519	+	0.633173i	−0.402508	+	0.0218726i
$839$	−49.9903	+	11.4099i	−1.72586	+	0.393915i	−0.966481	−	0.256739i	$-0.917352\pi$
$839$	−49.9903	+	11.4099i	−1.72586	+	0.393915i	−0.759374	+	0.650654i	$0.774495\pi$
$840$	−0.513903	+	8.34052i	−0.0177313	+	0.287775i
$841$	−21.9643	−	18.9359i	−0.757391	−	0.652962i
$842$	−8.34248	−	15.1594i	−0.287501	−	0.522428i
$843$	3.24098	+	14.1996i	0.111625	+	0.489062i
$844$	7.98826	−	4.97905i	0.274967	−	0.171386i
$845$	−4.26196	−	8.85006i	−0.146616	−	0.304451i
$846$	−15.8087	−	17.7546i	−0.543513	−	0.610415i
$847$	−23.2238	+	101.750i	−0.797978	+	3.49617i
$848$	−18.1082	−	0.131289i	−0.621839	−	0.00450848i
$849$	−0.902325	+	0.719580i	−0.0309677	+	0.0246959i
$850$	−19.8147	−	8.24963i	−0.679639	−	0.282960i
$851$	15.6948	−	7.55821i	0.538010	−	0.259092i
$852$	5.24160	+	15.1557i	0.179574	+	0.519224i
$853$	−21.9182			−0.750464			−0.375232	−	0.926931i	$-0.622437\pi$
$853$	−21.9182			−0.750464			−0.375232	+	0.926931i	$0.622437\pi$
$854$	−59.2208	−	10.1725i	−2.02649	−	0.348095i
$855$	−0.738489	−	0.168555i	−0.0252558	−	0.00576447i
$856$	16.6773	+	4.90303i	0.570020	+	0.167582i
$857$	15.0425	−	18.8627i	0.513843	−	0.644338i	−0.455446	−	0.890263i	$-0.650520\pi$
$857$	15.0425	−	18.8627i	0.513843	−	0.644338i	0.969289	+	0.245925i	$0.0790917\pi$
$858$	9.24509	−	5.08773i	0.315622	−	0.173692i
$859$	−0.470629	+	0.590150i	−0.0160577	+	0.0201357i	−0.789795	−	0.613370i	$-0.789813\pi$
$859$	−0.470629	+	0.590150i	−0.0160577	+	0.0201357i	0.773738	+	0.633506i	$0.218385\pi$
$860$	−14.6224	−	1.70126i	−0.498621	−	0.0580124i
$861$	−14.7684	+	11.7774i	−0.503307	+	0.401374i
$862$	16.6470	−	39.9844i	0.567000	−	1.36187i
$863$	35.1479	+	16.9264i	1.19645	+	0.576180i	0.922662	−	0.385610i	$-0.126009\pi$
$863$	35.1479	+	16.9264i	1.19645	+	0.576180i	0.273788	+	0.961790i	$0.411723\pi$
$864$	12.0069	+	13.6833i	0.408482	+	0.465515i
$865$	5.39787	+	23.6496i	0.183533	+	0.804112i
$866$	−4.53718	+	6.37006i	−0.154180	+	0.216464i
$867$	0.782254	+	0.376714i	0.0265668	+	0.0127939i
$868$	0.833655	−	2.35503i	0.0282961	−	0.0799349i
$869$		−	5.11414i		−	0.173485i
$870$	−0.769355	−	5.18373i	−0.0260836	−	0.175745i
$871$	13.0645			0.442673
$872$	−27.5275	+	4.52325i	−0.932199	+	0.153177i
$873$	−1.92219	+	3.99147i	−0.0650563	+	0.135091i
$874$	1.45932	+	1.03942i	0.0493623	+	0.0351591i
$875$	43.3337	−	9.89064i	1.46495	−	0.334365i
$876$	−0.978222	+	0.971155i	−0.0330510	+	0.0328123i
$877$	8.03349	−	16.6817i	0.271272	−	0.563301i	−0.720178	−	0.693789i	$-0.755940\pi$
$877$	8.03349	−	16.6817i	0.271272	−	0.563301i	0.991450	+	0.130488i	$0.0416543\pi$
$878$	−11.7423	+	28.2036i	−0.396282	+	0.951825i
$879$	−2.65429	−	3.32837i	−0.0895269	−	0.112263i
$880$	18.1580	−	22.4338i	0.612105	−	0.756242i
$881$	44.0283	+	35.1114i	1.48335	+	1.18293i	0.938924	+	0.344123i	$0.111824\pi$
$881$	44.0283	+	35.1114i	1.48335	+	1.18293i	0.544426	+	0.838809i	$0.316748\pi$
$882$	20.8851	+	37.9511i	0.703239	+	1.27788i
$883$	7.10952	+	5.66965i	0.239254	+	0.190799i	0.735775	−	0.677226i	$-0.236818\pi$
$883$	7.10952	+	5.66965i	0.239254	+	0.190799i	−0.496521	+	0.868025i	$0.665389\pi$
$884$	13.4421	+	13.5399i	0.452106	+	0.455396i
$885$	2.19830	−	9.63139i	0.0738951	−	0.323756i
$886$	−24.5931	−	4.22440i	−0.826220	−	0.141922i
$887$			34.3798i			1.15436i	0.816617	+	0.577180i	$0.195847\pi$
$887$			34.3798i			1.15436i	−0.816617	+	0.577180i	$0.804153\pi$
$888$	3.44044	−	3.80798i	0.115454	−	0.127787i
$889$	14.2015	+	29.4897i	0.476303	+	0.989054i
$890$	−8.41985	+	20.2236i	−0.282234	+	0.677895i
$891$	−23.0180	−	28.8636i	−0.771131	−	0.966967i
$892$	−7.08083	+	4.41346i	−0.237084	+	0.147774i
$893$	−1.42456	−	0.325146i	−0.0476710	−	0.0108806i
$894$	2.50755	+	2.81620i	0.0838649	+	0.0941879i
$895$	1.21437	−	0.584810i	0.0405919	−	0.0195480i
$896$	−3.33875	+	48.4605i	−0.111540	+	1.61895i
$897$	6.66071	−	1.52026i	0.222395	−	0.0507601i
$898$	−18.6539	+	10.2656i	−0.622489	+	0.342566i
$899$	−0.205189	+	1.55322i	−0.00684343	+	0.0518027i
$900$	10.1073	−	15.9570i	0.336911	−	0.531901i
$901$	−4.33672	−	19.0004i	−0.144477	−	0.632995i
$902$	65.1454	−	3.54005i	2.16911	−	0.117871i
$903$	13.2876	−	6.39897i	0.442184	−	0.212945i
$904$	−13.0170	+	2.13892i	−0.432939	+	0.0711394i
$905$	3.78566	−	16.5860i	0.125840	−	0.551339i
$906$	0.133481	+	2.45637i	0.00443461	+	0.0816074i
$907$	−18.3327	−	22.9884i	−0.608726	−	0.763318i	0.377984	−	0.925812i	$-0.376617\pi$
$907$	−18.3327	−	22.9884i	−0.608726	−	0.763318i	−0.986709	+	0.162494i	$0.948046\pi$
$908$	−1.35165	−	12.4001i	−0.0448560	−	0.411511i
$909$	1.69011	−	0.813913i	0.0560573	−	0.0269958i
$910$	−16.1028	−	2.76602i	−0.533804	−	0.0916928i
$911$			37.9046i			1.25584i	0.778279	+	0.627918i	$0.216093\pi$
$911$			37.9046i			1.25584i	−0.778279	+	0.627918i	$0.783907\pi$
$912$	0.513732	+	0.121181i	0.0170114	+	0.00401271i
$913$	83.9720	+	19.1661i	2.77907	+	0.634304i
$914$	−23.1193	+	6.61521i	−0.764719	+	0.218812i
$915$	5.32395	+	4.24571i	0.176004	+	0.140359i
$916$	−15.6932	+	24.7758i	−0.518518	+	0.818614i
$917$	−23.9582	+	30.0426i	−0.791169	+	0.992094i
$918$	−11.3662	+	15.9579i	−0.375142	+	0.526688i
$919$	1.49265	+	1.87173i	0.0492381	+	0.0617426i	0.805841	−	0.592132i	$-0.201714\pi$
$919$	1.49265	+	1.87173i	0.0492381	+	0.0617426i	−0.756603	+	0.653875i	$0.773142\pi$
$920$	15.2979	−	10.7298i	0.504356	−	0.353752i
$921$	6.26656	+	3.01782i	0.206490	+	0.0994404i
$922$	−57.2171	+	16.3717i	−1.88434	+	0.539173i
$923$	−30.5691	+	6.97719i	−1.00619	+	0.229657i
$924$	−3.34154	+	28.7208i	−0.109928	+	0.944844i
$925$	−10.1703	−	4.89777i	−0.334398	−	0.161038i
$926$	−14.6684	+	13.0607i	−0.482034	+	0.429203i
$927$	−26.6376			−0.874894
$928$	−4.25368	−	30.1647i	−0.139634	−	0.990203i
$929$	24.0941			0.790503			0.395251	−	0.918573i	$-0.370657\pi$
$929$	24.0941			0.790503			0.395251	+	0.918573i	$0.370657\pi$
$930$	−0.211445	+	0.188271i	−0.00693356	+	0.00617364i
$931$	2.39889	+	1.15525i	0.0786206	+	0.0378617i
$932$	0.233672	−	2.00843i	0.00765417	−	0.0657882i
$933$	2.59209	−	0.591628i	0.0848613	−	0.0193690i
$934$	49.1958	−	14.0766i	1.60974	−	0.460599i
$935$	27.9854	+	13.4771i	0.915220	+	0.440747i
$936$	−13.7464	+	9.64163i	−0.449314	+	0.315146i
$937$	28.8447	+	36.1701i	0.942316	+	1.18163i	0.983213	+	0.182463i	$0.0584071\pi$
$937$	28.8447	+	36.1701i	0.942316	+	1.18163i	−0.0408967	+	0.999163i	$0.513021\pi$
$938$	−20.7678	+	29.1573i	−0.678091	+	0.952019i
$939$	1.56143	−	1.95797i	0.0509552	−	0.0638958i
$940$	−8.15447	+	12.8739i	−0.265969	+	0.419901i
$941$	−7.02595	−	5.60301i	−0.229039	−	0.182653i	0.502245	−	0.864725i	$-0.332507\pi$
$941$	−7.02595	−	5.60301i	−0.229039	−	0.182653i	−0.731285	+	0.682072i	$0.761079\pi$
$942$	−9.91946	+	2.83829i	−0.323193	+	0.0924763i
$943$	41.1800	+	9.39907i	1.34101	+	0.306076i
$944$	13.1843	−	55.8932i	0.429113	−	1.81917i
$945$		−	16.7777i		−	0.545780i
$946$	−50.2025	−	8.62340i	−1.63222	−	0.280371i
$947$	28.5155	−	13.7323i	0.926628	−	0.446241i	0.0911952	−	0.995833i	$-0.470931\pi$
$947$	28.5155	−	13.7323i	0.926628	−	0.446241i	0.835433	+	0.549592i	$0.185217\pi$
$948$	−0.105701	−	0.969702i	−0.00343300	−	0.0314945i
$949$	−1.68041	−	2.10716i	−0.0545483	−	0.0684014i
$950$	−0.0629968	−	1.15929i	−0.00204389	−	0.0376124i
$951$	−1.06451	+	4.66392i	−0.0345191	+	0.151238i
$952$	−51.5863	+	8.47652i	−1.67192	+	0.274726i
$953$	−48.9872	+	23.5910i	−1.58685	+	0.764188i	−0.998997	−	0.0447785i	$-0.985742\pi$
$953$	−48.9872	+	23.5910i	−1.58685	+	0.764188i	−0.587855	+	0.808966i	$0.700027\pi$
$954$	17.1259	−	0.930636i	0.554473	−	0.0301305i
$955$	4.31801	+	18.9184i	0.139728	+	0.612187i
$956$	−3.22632	+	5.09358i	−0.104347	+	0.164738i
$957$	−1.68494	−	18.0547i	−0.0544663	−	0.583626i
$958$	−23.9287	+	13.1684i	−0.773102	+	0.425451i
$959$	−7.38938	+	1.68658i	−0.238615	+	0.0544624i
$960$	2.97930	−	4.62901i	0.0961565	−	0.149401i
$961$	−27.8538	+	13.4137i	−0.898509	+	0.432699i
$962$	6.67275	+	7.49411i	0.215138	+	0.241620i
$963$	−16.0512	−	3.66359i	−0.517243	−	0.118057i
$964$	−45.1345	+	28.1322i	−1.45369	+	0.906078i
$965$	−3.68203	−	4.61712i	−0.118529	−	0.148630i
$966$	−7.19517	+	17.2820i	−0.231501	+	0.556040i
$967$	6.09003	+	12.6461i	0.195842	+	0.406670i	0.975645	−	0.219355i	$-0.0703951\pi$
$967$	6.09003	+	12.6461i	0.195842	+	0.406670i	−0.779803	+	0.626025i	$0.784681\pi$
$968$	46.0918	−	51.0157i	1.48145	−	1.63971i
$969$			0.568065i			0.0182489i
$970$	2.79894	+	0.480780i	0.0898685	+	0.0154369i
$971$	3.08404	−	13.5121i	0.0989717	−	0.433623i	−0.901028	−	0.433760i	$-0.857186\pi$
$971$	3.08404	−	13.5121i	0.0989717	−	0.433623i	1.00000		0.000137060i	$4.36275e-5\pi$
$972$	−18.5647	−	18.6998i	−0.595463	−	0.599796i
$973$	56.7635	+	45.2674i	1.81976	+	1.45121i
$974$	−21.4026	−	38.8914i	−0.685782	−	1.24616i
$975$	−3.46131	−	2.76030i	−0.110851	−	0.0884004i
$976$	30.7684	+	24.9041i	0.984873	+	0.797160i
$977$	−10.9790	−	13.7672i	−0.351249	−	0.440452i	0.574550	−	0.818470i	$-0.305177\pi$
$977$	−10.9790	−	13.7672i	−0.351249	−	0.440452i	−0.925798	+	0.378018i	$0.876606\pi$
$978$	3.72673	−	8.95119i	0.119168	−	0.286228i
$979$	−32.8884	+	68.2934i	−1.05112	+	2.18267i
$980$	19.7065	−	19.5641i	0.629501	−	0.624953i
$981$	25.7592	−	5.87937i	0.822428	−	0.187714i
$982$	1.71026	+	1.21816i	0.0545765	+	0.0388730i
$983$	10.9767	−	22.7933i	0.350102	−	0.726995i	−0.649336	−	0.760501i	$-0.724953\pi$
$983$	10.9767	−	22.7933i	0.350102	−	0.726995i	0.999438	+	0.0335066i	$0.0106675\pi$
$984$	12.2792	−	2.01768i	0.391446	−	0.0643214i
$985$	−25.3729			−0.808448
$986$	30.5458	−	11.9088i	0.972776	−	0.379254i
$987$		−	15.2672i		−	0.485961i
$988$	−0.344390	+	0.972882i	−0.0109565	+	0.0309515i
$989$	−29.7125	−	14.3088i	−0.944803	−	0.454993i
$990$	−15.8586	+	22.2650i	−0.504020	+	0.707628i
$991$	0.189767	+	0.831425i	0.00602816	+	0.0264111i	0.977853	−	0.209295i	$-0.0671169\pi$
$991$	0.189767	+	0.831425i	0.00602816	+	0.0264111i	−0.971824	+	0.235706i	$0.924260\pi$
$992$	−1.23703	+	1.08548i	−0.0392758	+	0.0344640i
$993$	−2.49167	−	1.19992i	−0.0790707	−	0.0380785i
$994$	33.0220	−	79.3152i	1.04739	−	2.51572i
$995$	17.3044	−	13.7998i	0.548585	−	0.437482i
$996$	16.3182	+	1.89855i	0.517063	+	0.0601579i
$997$	35.7448	−	44.8226i	1.13205	−	1.41954i	0.238177	−	0.971222i	$-0.423450\pi$
$997$	35.7448	−	44.8226i	1.13205	−	1.41954i	0.893872	−	0.448323i	$-0.147978\pi$
$998$	−13.4868	+	7.42203i	−0.426918	+	0.234940i
$999$	−6.42440	+	8.05595i	−0.203259	+	0.254879i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	232.2.o.a.109.7	yes	168
4.3	odd	2		928.2.be.a.689.16		168
8.3	odd	2		928.2.be.a.689.13		168
8.5	even	2	inner	232.2.o.a.109.3	✓	168
29.4	even	14	inner	232.2.o.a.149.3	yes	168
116.91	odd	14		928.2.be.a.497.13		168
232.91	odd	14		928.2.be.a.497.16		168
232.149	even	14	inner	232.2.o.a.149.7	yes	168

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
232.2.o.a.109.3	✓	168	8.5	even	2	inner
232.2.o.a.109.7	yes	168	1.1	even	1	trivial
232.2.o.a.149.3	yes	168	29.4	even	14	inner
232.2.o.a.149.7	yes	168	232.149	even	14	inner
928.2.be.a.497.13		168	116.91	odd	14
928.2.be.a.497.16		168	232.91	odd	14
928.2.be.a.689.13		168	8.3	odd	2
928.2.be.a.689.16		168	4.3	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 232 = 2^{3} \cdot 29 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	232.o (of order \(14\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.05620 + 0.940444i) q^{2} +(-0.510561 - 0.245873i) q^{3} +(0.231132 - 1.98660i) q^{4} +(1.18384 - 0.270205i) q^{5} +(0.770486 - 0.220461i) q^{6} +(-3.86831 - 1.86288i) q^{7} +(1.62416 + 2.31562i) q^{8} +(-1.67025 - 2.09443i) q^{9} +O(q^{10})\)	\(q+(-1.05620 + 0.940444i) q^{2} +(-0.510561 - 0.245873i) q^{3} +(0.231132 - 1.98660i) q^{4} +(1.18384 - 0.270205i) q^{5} +(0.770486 - 0.220461i) q^{6} +(-3.86831 - 1.86288i) q^{7} +(1.62416 + 2.31562i) q^{8} +(-1.67025 - 2.09443i) q^{9} +(-0.996268 + 1.39873i) q^{10} +(-3.70481 + 4.64569i) q^{11} +(-0.606458 + 0.957450i) q^{12} +(-1.73253 - 1.38165i) q^{13} +(5.83766 - 1.67035i) q^{14} +(-0.670860 - 0.153119i) q^{15} +(-3.89316 - 0.918333i) q^{16} -4.30490i q^{17} +(3.73382 + 0.641366i) q^{18} +(0.209801 - 0.101035i) q^{19} +(-0.263164 - 2.41428i) q^{20} +(1.51698 + 1.90223i) q^{21} +(-0.455971 - 8.39096i) q^{22} +(1.21063 - 5.30413i) q^{23} +(-0.259885 - 1.58160i) q^{24} +(-3.17637 + 1.52966i) q^{25} +(3.12927 - 0.170047i) q^{26} +(0.716095 + 3.13742i) q^{27} +(-4.59489 + 7.25421i) q^{28} +(1.87559 - 5.04799i) q^{29} +(0.852565 - 0.469181i) q^{30} +(-0.283637 + 0.0647383i) q^{31} +(4.97561 - 2.69135i) q^{32} +(3.03378 - 1.46099i) q^{33} +(4.04851 + 4.54685i) q^{34} +(-5.08283 - 1.16012i) q^{35} +(-4.54684 + 2.83403i) q^{36} +(1.99633 + 2.50332i) q^{37} +(-0.126575 + 0.304019i) q^{38} +(0.544853 + 1.13140i) q^{39} +(2.54845 + 2.30248i) q^{40} +7.76376i q^{41} +(-3.39117 - 0.582509i) q^{42} +(1.34883 - 5.90963i) q^{43} +(8.37282 + 8.43375i) q^{44} +(-2.54324 - 2.02817i) q^{45} +(3.70956 + 6.74077i) q^{46} +(-4.90596 - 3.91237i) q^{47} +(1.76190 + 1.42609i) q^{48} +(7.12908 + 8.93958i) q^{49} +(1.91633 - 4.60283i) q^{50} +(-1.05846 + 2.19791i) q^{51} +(-3.14523 + 3.12251i) q^{52} +(4.41367 - 1.00739i) q^{53} +(-3.70691 - 2.64030i) q^{54} +(-3.13063 + 6.50083i) q^{55} +(-1.96904 - 11.9832i) q^{56} -0.131958 q^{57} +(2.76634 + 7.09559i) q^{58} +14.3568i q^{59} +(-0.459244 + 1.29734i) q^{60} +(-8.91603 - 4.29373i) q^{61} +(0.238696 - 0.335122i) q^{62} +(2.55938 + 11.2134i) q^{63} +(-2.72419 + 7.52189i) q^{64} +(-2.42438 - 1.16752i) q^{65} +(-1.83031 + 4.39620i) q^{66} +(-4.60932 + 3.67581i) q^{67} +(-8.55211 - 0.995000i) q^{68} +(-1.92224 + 2.41042i) q^{69} +(6.45954 - 3.55479i) q^{70} +(8.82207 - 11.0625i) q^{71} +(2.13714 - 7.26936i) q^{72} +(1.18574 + 0.270637i) q^{73} +(-4.46277 - 0.766580i) q^{74} +1.99783 q^{75} +(-0.152224 - 0.440142i) q^{76} +(22.9857 - 11.0693i) q^{77} +(-1.63949 - 0.682584i) q^{78} +(-0.672897 + 0.536618i) q^{79} +(-4.85703 - 0.0352146i) q^{80} +(-1.38252 + 6.05722i) q^{81} +(-7.30138 - 8.20012i) q^{82} +(-6.28924 - 13.0597i) q^{83} +(4.12958 - 2.57396i) q^{84} +(-1.16320 - 5.09633i) q^{85} +(4.13303 + 7.51028i) q^{86} +(-2.19877 + 2.11615i) q^{87} +(-16.7749 - 1.03359i) q^{88} +(12.4367 - 2.83859i) q^{89} +(4.59355 - 0.249617i) q^{90} +(4.12813 + 8.57215i) q^{91} +(-10.2574 - 3.63100i) q^{92} +(0.160731 + 0.0366859i) q^{93} +(8.86105 - 0.481516i) q^{94} +(0.221071 - 0.176298i) q^{95} +(-3.20208 + 0.150728i) q^{96} +(-0.717537 - 1.48998i) q^{97} +(-15.9369 - 2.73752i) q^{98} +15.9180 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9}+O(q^{10}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9	\( 168 q - 7 q^{2} - 3 q^{4} - 7 q^{6} - 6 q^{7} - 28 q^{8} - 34 q^{9} - 7 q^{10} - 7 q^{14} - 14 q^{15} + 5 q^{16} - 56 q^{18} - 27 q^{20} - 12 q^{22} - 6 q^{23} + 9 q^{24} + 14 q^{25} - 7 q^{26} + 16 q^{28} - 22 q^{30} - 14 q^{31} - 42 q^{32} + 2 q^{33} - 5 q^{34} + 4 q^{36} + 58 q^{38} + 70 q^{39} - 7 q^{40} - 32 q^{42} - 14 q^{44} - 14 q^{47} - 84 q^{48} - 26 q^{49} + 42 q^{50} + 16 q^{52} + 40 q^{54} - 14 q^{55} - 7 q^{56} - 12 q^{57} + 53 q^{58} - 126 q^{60} + 57 q^{62} + 50 q^{63} - 30 q^{64} - 60 q^{65} + 133 q^{66} - 28 q^{68} - 46 q^{71} - 119 q^{72} - 84 q^{73} - 40 q^{74} - 77 q^{76} + 29 q^{78} - 154 q^{79} + 66 q^{80} - 26 q^{81} - 48 q^{82} + 63 q^{84} - 32 q^{86} - 46 q^{87} - 10 q^{88} - 14 q^{89} + 140 q^{90} + 20 q^{92} - 26 q^{94} - 14 q^{95} + 136 q^{96} + 28 q^{98}+O(q^{100}) \) 168 * q - 7 * q^2 - 3 * q^4 - 7 * q^6 - 6 * q^7 - 28 * q^8 - 34 * q^9 - 7 * q^10 - 7 * q^14 - 14 * q^15 + 5 * q^16 - 56 * q^18 - 27 * q^20 - 12 * q^22 - 6 * q^23 + 9 * q^24 + 14 * q^25 - 7 * q^26 + 16 * q^28 - 22 * q^30 - 14 * q^31 - 42 * q^32 + 2 * q^33 - 5 * q^34 + 4 * q^36 + 58 * q^38 + 70 * q^39 - 7 * q^40 - 32 * q^42 - 14 * q^44 - 14 * q^47 - 84 * q^48 - 26 * q^49 + 42 * q^50 + 16 * q^52 + 40 * q^54 - 14 * q^55 - 7 * q^56 - 12 * q^57 + 53 * q^58 - 126 * q^60 + 57 * q^62 + 50 * q^63 - 30 * q^64 - 60 * q^65 + 133 * q^66 - 28 * q^68 - 46 * q^71 - 119 * q^72 - 84 * q^73 - 40 * q^74 - 77 * q^76 + 29 * q^78 - 154 * q^79 + 66 * q^80 - 26 * q^81 - 48 * q^82 + 63 * q^84 - 32 * q^86 - 46 * q^87 - 10 * q^88 - 14 * q^89 + 140 * q^90 + 20 * q^92 - 26 * q^94 - 14 * q^95 + 136 * q^96 + 28 * q^98

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