LMFDB - Embedded newform 342.2.v.a.61.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [342,2,Mod(25,342)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(342, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([12, 14]))

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

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

chi := DirichletCharacter("342.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 342 = 2 \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	342.v (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.73088374913$
Analytic rank:	$0$
Dimension:	$54$
Relative dimension:	$9$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			61.8
Character	$\chi$	$=$	342.61
Dual form			342.2.v.a.157.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 + 0.642788i) q^{2} +(1.31214 - 1.13061i) q^{3} +(0.173648 - 0.984808i) q^{4} +(3.51090 + 1.27786i) q^{5} +(-0.278414 + 1.70953i) q^{6} +(1.92669 + 3.33713i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.443426 - 2.96705i) q^{9} +O(q^{10})$	\(q+(-0.766044 + 0.642788i) q^{2} +(1.31214 - 1.13061i) q^{3} +(0.173648 - 0.984808i) q^{4} +(3.51090 + 1.27786i) q^{5} +(-0.278414 + 1.70953i) q^{6} +(1.92669 + 3.33713i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.443426 - 2.96705i) q^{9} +(-3.51090 + 1.27786i) q^{10} -0.726578 q^{11} +(-0.885586 - 1.48854i) q^{12} +(-4.75799 + 1.73177i) q^{13} +(-3.62100 - 1.31793i) q^{14} +(6.05156 - 2.29273i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-2.22975 - 0.811562i) q^{17} +(1.56750 + 2.55792i) q^{18} +(-4.13786 + 1.37045i) q^{19} +(1.86811 - 3.23566i) q^{20} +(6.30109 + 2.20044i) q^{21} +(0.556591 - 0.467035i) q^{22} +(0.368053 - 2.08733i) q^{23} +(1.63521 + 0.571040i) q^{24} +(6.86326 + 5.75896i) q^{25} +(2.53167 - 4.38499i) q^{26} +(-2.77275 - 4.39453i) q^{27} +(3.62100 - 1.31793i) q^{28} +(1.64054 - 9.30394i) q^{29} +(-3.16202 + 5.64621i) q^{30} +6.38968 q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.953372 + 0.821479i) q^{33} +(2.22975 - 0.811562i) q^{34} +(2.50003 + 14.1784i) q^{35} +(-2.84497 - 0.951912i) q^{36} -7.04939 q^{37} +(2.28888 - 3.70959i) q^{38} +(-4.28519 + 7.65177i) q^{39} +(0.648788 + 3.67946i) q^{40} +(3.67363 - 3.08255i) q^{41} +(-6.24133 + 2.36463i) q^{42} +(0.229247 + 1.30013i) q^{43} +(-0.126169 + 0.715540i) q^{44} +(5.34830 - 9.85037i) q^{45} +(1.05977 + 1.83557i) q^{46} +(0.607373 - 3.44458i) q^{47} +(-1.61970 + 0.613651i) q^{48} +(-3.92428 + 6.79706i) q^{49} -8.95935 q^{50} +(-3.84331 + 1.45610i) q^{51} +(0.879241 + 4.98642i) q^{52} +(-9.36167 - 7.85537i) q^{53} +(4.94880 + 1.58412i) q^{54} +(-2.55094 - 0.928467i) q^{55} +(-1.92669 + 3.33713i) q^{56} +(-3.88001 + 6.47654i) q^{57} +(4.72373 + 8.18175i) q^{58} +(0.548925 + 3.11311i) q^{59} +(-1.20706 - 6.35776i) q^{60} +(6.45696 - 2.35014i) q^{61} +(-4.89478 + 4.10721i) q^{62} +(10.7558 - 4.23682i) q^{63} +(-0.500000 + 0.866025i) q^{64} -18.9178 q^{65} +(0.202289 - 1.24211i) q^{66} +(0.485222 + 0.407150i) q^{67} +(-1.18642 + 2.05495i) q^{68} +(-1.87703 - 3.15500i) q^{69} +(-11.0288 - 9.25427i) q^{70} +(3.21128 - 2.69458i) q^{71} +(2.79125 - 1.09951i) q^{72} +(-1.52021 - 8.62155i) q^{73} +(5.40015 - 4.53126i) q^{74} +(15.5167 - 0.203131i) q^{75} +(0.631094 + 4.31297i) q^{76} +(-1.39989 - 2.42468i) q^{77} +(-1.63581 - 8.61606i) q^{78} +(1.33512 + 0.485944i) q^{79} +(-2.86211 - 2.40160i) q^{80} +(-8.60675 - 2.63133i) q^{81} +(-0.832745 + 4.72273i) q^{82} +(7.03646 + 12.1875i) q^{83} +(3.26118 - 5.82326i) q^{84} +(-6.79136 - 5.69863i) q^{85} +(-1.01132 - 0.848597i) q^{86} +(-8.36655 - 14.0629i) q^{87} +(-0.363289 - 0.629235i) q^{88} +(1.86511 - 10.5776i) q^{89} +(2.23466 + 10.9836i) q^{90} +(-14.9463 - 12.5414i) q^{91} +(-1.99171 - 0.724923i) q^{92} +(8.38416 - 7.22426i) q^{93} +(1.74886 + 3.02911i) q^{94} +(-16.2788 - 0.476120i) q^{95} +(0.846316 - 1.51121i) q^{96} +(-8.75450 + 7.34589i) q^{97} +(-1.36289 - 7.72933i) q^{98} +(-0.322183 + 2.15579i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 54 q + 12 q^{7} + 27 q^{8}+O(q^{10}) $ 54 * q + 12 * q^7 + 27 * q^8	$ 54 q + 12 q^{7} + 27 q^{8} - 3 q^{13} + 3 q^{14} + 27 q^{15} + 9 q^{17} + 6 q^{18} + 15 q^{19} + 3 q^{22} + 6 q^{23} + 12 q^{25} - 3 q^{28} - 18 q^{29} - 21 q^{33} - 9 q^{34} - 18 q^{35} - 6 q^{37} + 6 q^{38} - 6 q^{39} + 6 q^{41} - 3 q^{43} + 6 q^{44} - 27 q^{45} - 18 q^{47} - 3 q^{49} + 6 q^{50} - 42 q^{51} + 6 q^{52} - 24 q^{53} - 27 q^{54} - 36 q^{55} - 12 q^{56} + 12 q^{57} + 18 q^{58} - 21 q^{59} + 12 q^{61} - 15 q^{62} + 12 q^{63} - 27 q^{64} - 48 q^{65} - 42 q^{66} + 60 q^{67} + 3 q^{68} - 21 q^{69} - 36 q^{70} - 60 q^{71} - 45 q^{73} - 6 q^{74} + 45 q^{78} - 9 q^{79} - 36 q^{81} + 3 q^{82} + 12 q^{83} + 42 q^{84} + 36 q^{85} + 3 q^{86} - 24 q^{87} + 9 q^{89} - 36 q^{90} - 15 q^{91} - 12 q^{92} - 93 q^{93} + 6 q^{94} - 3 q^{95} + 12 q^{97} + 12 q^{98} - 33 q^{99}+O(q^{100}) $ 54 * q + 12 * q^7 + 27 * q^8 - 3 * q^13 + 3 * q^14 + 27 * q^15 + 9 * q^17 + 6 * q^18 + 15 * q^19 + 3 * q^22 + 6 * q^23 + 12 * q^25 - 3 * q^28 - 18 * q^29 - 21 * q^33 - 9 * q^34 - 18 * q^35 - 6 * q^37 + 6 * q^38 - 6 * q^39 + 6 * q^41 - 3 * q^43 + 6 * q^44 - 27 * q^45 - 18 * q^47 - 3 * q^49 + 6 * q^50 - 42 * q^51 + 6 * q^52 - 24 * q^53 - 27 * q^54 - 36 * q^55 - 12 * q^56 + 12 * q^57 + 18 * q^58 - 21 * q^59 + 12 * q^61 - 15 * q^62 + 12 * q^63 - 27 * q^64 - 48 * q^65 - 42 * q^66 + 60 * q^67 + 3 * q^68 - 21 * q^69 - 36 * q^70 - 60 * q^71 - 45 * q^73 - 6 * q^74 + 45 * q^78 - 9 * q^79 - 36 * q^81 + 3 * q^82 + 12 * q^83 + 42 * q^84 + 36 * q^85 + 3 * q^86 - 24 * q^87 + 9 * q^89 - 36 * q^90 - 15 * q^91 - 12 * q^92 - 93 * q^93 + 6 * q^94 - 3 * q^95 + 12 * q^97 + 12 * q^98 - 33 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/342\mathbb{Z}\right)^\times$.

$n$	$191$	$325$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{1}{9}\right)$

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 $

$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$3$	1.31214	−	1.13061i	0.757565	−	0.652760i
$3$	1.31214	−	1.13061i	0.757565	−	0.652760i
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	3.51090	+	1.27786i	1.57012	+	0.571478i	0.973027	−	0.230693i	$-0.0740992\pi$
$5$	3.51090	+	1.27786i	1.57012	+	0.571478i	0.597095	+	0.802170i	$0.296321\pi$
$6$	−0.278414	+	1.70953i	−0.113662	+	0.697912i
$7$	1.92669	+	3.33713i	0.728221	+	1.26132i	0.957634	+	0.287987i	$0.0929859\pi$
$7$	1.92669	+	3.33713i	0.728221	+	1.26132i	−0.229413	+	0.973329i	$0.573681\pi$
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	0.443426	−	2.96705i	0.147809	−	0.989016i
$10$	−3.51090	+	1.27786i	−1.11024	+	0.404096i
$11$	−0.726578			−0.219071			−0.109536	−	0.993983i	$-0.534936\pi$
$11$	−0.726578			−0.219071			−0.109536	+	0.993983i	$0.534936\pi$
$12$	−0.885586	−	1.48854i	−0.255647	−	0.429703i
$13$	−4.75799	+	1.73177i	−1.31963	+	0.480306i	−0.903339	−	0.428927i	$-0.858892\pi$
$13$	−4.75799	+	1.73177i	−1.31963	+	0.480306i	−0.416289	+	0.909232i	$0.636670\pi$
$14$	−3.62100	−	1.31793i	−0.967752	−	0.352233i
$15$	6.05156	−	2.29273i	1.56251	−	0.591982i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	−2.22975	−	0.811562i	−0.540793	−	0.196833i	0.0571579	−	0.998365i	$-0.481796\pi$
$17$	−2.22975	−	0.811562i	−0.540793	−	0.196833i	−0.597951	+	0.801532i	$0.704018\pi$
$18$	1.56750	+	2.55792i	0.369463	+	0.602907i
$19$	−4.13786	+	1.37045i	−0.949290	+	0.314402i
$19$	−4.13786	+	1.37045i	−0.949290	+	0.314402i
$20$	1.86811	−	3.23566i	0.417722	−	0.723516i
$21$	6.30109	+	2.20044i	1.37501	+	0.480175i
$22$	0.556591	−	0.467035i	0.118666	−	0.0995723i
$23$	0.368053	−	2.08733i	0.0767444	−	0.435239i	−0.922090	−	0.386975i	$-0.873520\pi$
$23$	0.368053	−	2.08733i	0.0767444	−	0.435239i	0.998835	−	0.0482641i	$-0.0153689\pi$
$24$	1.63521	+	0.571040i	0.333786	+	0.116563i
$25$	6.86326	+	5.75896i	1.37265	+	1.15179i
$26$	2.53167	−	4.38499i	0.496502	−	0.859967i
$27$	−2.77275	−	4.39453i	−0.533616	−	0.845727i
$28$	3.62100	−	1.31793i	0.684304	−	0.249066i
$29$	1.64054	−	9.30394i	0.304640	−	1.72770i	−0.320556	−	0.947230i	$-0.603870\pi$
$29$	1.64054	−	9.30394i	0.304640	−	1.72770i	0.625195	−	0.780468i	$-0.285019\pi$
$30$	−3.16202	+	5.64621i	−0.577304	+	1.03085i
$31$	6.38968			1.14762			0.573810	−	0.818988i	$-0.305465\pi$
$31$	6.38968			1.14762			0.573810	+	0.818988i	$0.305465\pi$
$32$	0.939693	−	0.342020i	0.166116	−	0.0604612i
$33$	−0.953372	+	0.821479i	−0.165961	+	0.143001i
$34$	2.22975	−	0.811562i	0.382399	−	0.139182i
$35$	2.50003	+	14.1784i	0.422582	+	2.39658i
$36$	−2.84497	−	0.951912i	−0.474162	−	0.158652i
$37$	−7.04939			−1.15891			−0.579457	−	0.815003i	$-0.696735\pi$
$37$	−7.04939			−1.15891			−0.579457	+	0.815003i	$0.696735\pi$
$38$	2.28888	−	3.70959i	0.371305	−	0.601774i
$39$	−4.28519	+	7.65177i	−0.686180	+	1.22526i
$40$	0.648788	+	3.67946i	0.102582	+	0.581774i
$41$	3.67363	−	3.08255i	0.573725	−	0.481413i	−0.309154	−	0.951012i	$-0.600046\pi$
$41$	3.67363	−	3.08255i	0.573725	−	0.481413i	0.882880	+	0.469599i	$0.155602\pi$
$42$	−6.24133	+	2.36463i	−0.963058	+	0.364871i
$43$	0.229247	+	1.30013i	0.0349599	+	0.198267i	0.997285	−	0.0736324i	$-0.0234592\pi$
$43$	0.229247	+	1.30013i	0.0349599	+	0.198267i	−0.962326	+	0.271900i	$0.912348\pi$
$44$	−0.126169	+	0.715540i	−0.0190207	+	0.107872i
$45$	5.34830	−	9.85037i	0.797278	−	1.46841i
$46$	1.05977	+	1.83557i	0.156254	+	0.270640i
$47$	0.607373	−	3.44458i	0.0885944	−	0.502444i	−0.907929	−	0.419125i	$-0.862337\pi$
$47$	0.607373	−	3.44458i	0.0885944	−	0.502444i	0.996523	−	0.0833188i	$-0.0265520\pi$
$48$	−1.61970	+	0.613651i	−0.233784	+	0.0885729i
$49$	−3.92428	+	6.79706i	−0.560612	+	0.971008i
$50$	−8.95935			−1.26704
$51$	−3.84331	+	1.45610i	−0.538171	+	0.203895i
$52$	0.879241	+	4.98642i	0.121929	+	0.691492i
$53$	−9.36167	−	7.85537i	−1.28592	−	1.07902i	−0.992398	−	0.123067i	$-0.960727\pi$
$53$	−9.36167	−	7.85537i	−1.28592	−	1.07902i	−0.293525	−	0.955951i	$-0.594829\pi$
$54$	4.94880	+	1.58412i	0.673446	+	0.215571i
$55$	−2.55094	−	0.928467i	−0.343969	−	0.125194i
$56$	−1.92669	+	3.33713i	−0.257465	+	0.445943i
$57$	−3.88001	+	6.47654i	−0.513920	+	0.857838i
$58$	4.72373	+	8.18175i	0.620257	+	1.07432i
$59$	0.548925	+	3.11311i	0.0714640	+	0.405292i	0.999465	+	0.0327141i	$0.0104151\pi$
$59$	0.548925	+	3.11311i	0.0714640	+	0.405292i	−0.928001	+	0.372578i	$0.878474\pi$
$60$	−1.20706	−	6.35776i	−0.155831	−	0.820783i
$61$	6.45696	−	2.35014i	0.826729	−	0.300905i	0.106213	−	0.994343i	$-0.466127\pi$
$61$	6.45696	−	2.35014i	0.826729	−	0.300905i	0.720516	+	0.693439i	$0.243905\pi$
$62$	−4.89478	+	4.10721i	−0.621637	+	0.521616i
$63$	10.7558	−	4.23682i	1.35510	−	0.533789i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−18.9178			−2.34646
$66$	0.202289	−	1.24211i	0.0249001	−	0.152893i
$67$	0.485222	+	0.407150i	0.0592793	+	0.0497413i	0.671946	−	0.740600i	$-0.265459\pi$
$67$	0.485222	+	0.407150i	0.0592793	+	0.0497413i	−0.612667	+	0.790341i	$0.709903\pi$
$68$	−1.18642	+	2.05495i	−0.143875	+	0.249199i
$69$	−1.87703	−	3.15500i	−0.225968	−	0.379817i
$70$	−11.0288	−	9.25427i	−1.31820	−	1.10610i
$71$	3.21128	−	2.69458i	0.381109	−	0.319788i	−0.432029	−	0.901860i	$-0.642202\pi$
$71$	3.21128	−	2.69458i	0.381109	−	0.319788i	0.813137	+	0.582072i	$0.197758\pi$
$72$	2.79125	−	1.09951i	0.328952	−	0.129578i
$73$	−1.52021	−	8.62155i	−0.177927	−	1.00908i	−0.934711	−	0.355410i	$-0.884341\pi$
$73$	−1.52021	−	8.62155i	−0.177927	−	1.00908i	0.756783	−	0.653666i	$-0.226770\pi$
$74$	5.40015	−	4.53126i	0.627755	−	0.526749i
$75$	15.5167	−	0.203131i	1.79172	−	0.0234556i
$76$	0.631094	+	4.31297i	0.0723914	+	0.494732i
$77$	−1.39989	−	2.42468i	−0.159532	−	0.276318i
$78$	−1.63581	−	8.61606i	−0.185220	−	0.975577i
$79$	1.33512	+	0.485944i	0.150213	+	0.0546729i	0.416032	−	0.909350i	$-0.363420\pi$
$79$	1.33512	+	0.485944i	0.150213	+	0.0546729i	−0.265820	+	0.964023i	$0.585643\pi$
$80$	−2.86211	−	2.40160i	−0.319994	−	0.268507i
$81$	−8.60675	−	2.63133i	−0.956305	−	0.292370i
$82$	−0.832745	+	4.72273i	−0.0919613	+	0.521539i
$83$	7.03646	+	12.1875i	0.772351	+	1.33775i	0.936271	+	0.351278i	$0.114253\pi$
$83$	7.03646	+	12.1875i	0.772351	+	1.33775i	−0.163920	+	0.986474i	$0.552414\pi$
$84$	3.26118	−	5.82326i	0.355824	−	0.635370i
$85$	−6.79136	−	5.69863i	−0.736626	−	0.618103i
$86$	−1.01132	−	0.848597i	−0.109053	−	0.0915066i
$87$	−8.36655	−	14.0629i	−0.896988	−	1.50770i
$88$	−0.363289	−	0.629235i	−0.0387267	−	0.0670767i
$89$	1.86511	−	10.5776i	0.197701	−	1.12122i	−0.710818	−	0.703376i	$-0.751675\pi$
$89$	1.86511	−	10.5776i	0.197701	−	1.12122i	0.908519	−	0.417843i	$-0.137214\pi$
$90$	2.23466	+	10.9836i	0.235554	+	1.15778i
$91$	−14.9463	−	12.5414i	−1.56680	−	1.31470i
$92$	−1.99171	−	0.724923i	−0.207650	−	0.0755785i
$93$	8.38416	−	7.22426i	0.869396	−	0.749121i
$94$	1.74886	+	3.02911i	0.180381	+	0.312429i
$95$	−16.2788	−	0.476120i	−1.67017	−	0.0488489i
$96$	0.846316	−	1.51121i	0.0863768	−	0.154237i
$97$	−8.75450	+	7.34589i	−0.888884	+	0.745863i	−0.967986	−	0.251004i	$-0.919239\pi$
$97$	−8.75450	+	7.34589i	−0.888884	+	0.745863i	0.0791017	+	0.996867i	$0.474795\pi$
$98$	−1.36289	−	7.72933i	−0.137673	−	0.780780i
$99$	−0.322183	+	2.15579i	−0.0323807	+	0.216665i
$100$	6.86326	−	5.75896i	0.686326	−	0.575896i
$101$	7.82467	+	6.56568i	0.778584	+	0.653310i	0.942892	−	0.333100i	$-0.108095\pi$
$101$	7.82467	+	6.56568i	0.778584	+	0.653310i	−0.164308	+	0.986409i	$0.552539\pi$
$102$	2.00818	−	3.58587i	0.198839	−	0.355054i
$103$	4.15754	−	7.20107i	0.409654	−	0.709542i	−0.585197	−	0.810891i	$-0.698983\pi$
$103$	4.15754	−	7.20107i	0.409654	−	0.709542i	0.994851	+	0.101349i	$0.0323160\pi$
$104$	−3.87875	−	3.25466i	−0.380343	−	0.319145i
$105$	19.3106	+	15.7774i	1.88453	+	1.53972i
$106$	12.2208			1.18699
$107$	−2.35285	+	4.07526i	−0.227459	+	0.393970i	−0.957054	−	0.289909i	$-0.906375\pi$
$107$	−2.35285	+	4.07526i	−0.227459	+	0.393970i	0.729596	+	0.683879i	$0.239708\pi$
$108$	−4.80925	+	1.96752i	−0.462770	+	0.189325i
$109$	−9.16254	+	7.68828i	−0.877612	+	0.736404i	−0.965687	−	0.259710i	$-0.916373\pi$
$109$	−9.16254	+	7.68828i	−0.877612	+	0.736404i	0.0880748	+	0.996114i	$0.471929\pi$
$110$	2.55094	−	0.928467i	0.243223	−	0.0885259i
$111$	−9.24980	+	7.97014i	−0.877952	+	0.756492i
$112$	−0.669133	−	3.79484i	−0.0632271	−	0.358579i
$113$	5.17145	+	8.95721i	0.486489	+	0.842624i	0.999879	−	0.0155315i	$-0.00494403\pi$
$113$	5.17145	+	8.95721i	0.486489	+	0.842624i	−0.513390	+	0.858155i	$0.671611\pi$
$114$	−1.19078	−	7.45534i	−0.111527	−	0.698256i
$115$	3.95952	−	6.85809i	0.369227	−	0.639521i
$116$	−8.87771	−	3.23122i	−0.824275	−	0.300012i
$117$	3.02842	+	14.8851i	0.279977	+	1.37613i
$118$	−2.42157	−	2.03194i	−0.222924	−	0.187055i
$119$	−1.58775	−	9.00459i	−0.145549	−	0.825449i
$120$	5.01135	+	4.09444i	0.457471	+	0.373769i
$121$	−10.4721			−0.952008
$122$	−3.43568	+	5.95077i	−0.311052	+	0.538757i
$123$	1.33516	−	8.19819i	0.120387	−	0.739206i
$124$	1.10956	−	6.29260i	0.0996411	−	0.565093i
$125$	7.39650	+	12.8111i	0.661563	+	1.14586i
$126$	−5.51602	+	10.1593i	−0.491406	+	0.905059i
$127$	−3.24613	+	18.4097i	−0.288047	+	1.63360i	0.406145	+	0.913809i	$0.366873\pi$
$127$	−3.24613	+	18.4097i	−0.288047	+	1.63360i	−0.694192	+	0.719789i	$0.744238\pi$
$128$	−0.173648	−	0.984808i	−0.0153485	−	0.0870455i
$129$	1.77075	+	1.44676i	0.155905	+	0.127380i
$130$	14.4919	−	12.1601i	1.27102	−	1.06651i
$131$	3.15472	+	17.8913i	0.275629	+	1.56317i	0.736958	+	0.675939i	$0.236262\pi$
$131$	3.15472	+	17.8913i	0.275629	+	1.56317i	−0.461329	+	0.887229i	$0.652627\pi$
$132$	0.643447	+	1.08154i	0.0560049	+	0.0941357i
$133$	−12.5457	−	11.1681i	−1.08785	−	0.968401i
$134$	−0.633413			−0.0547185
$135$	−4.11924	−	18.9719i	−0.354527	−	1.63284i
$136$	−0.412041	−	2.33680i	−0.0353322	−	0.200379i
$137$	2.57587	−	0.937541i	0.220072	−	0.0800995i	−0.229631	−	0.973278i	$-0.573752\pi$
$137$	2.57587	−	0.937541i	0.220072	−	0.0800995i	0.449703	+	0.893178i	$0.351530\pi$
$138$	3.46588	+	1.21034i	0.295036	+	0.103031i
$139$	−14.4156	+	5.24683i	−1.22271	+	0.445031i	−0.871095	−	0.491114i	$-0.836590\pi$
$139$	−14.4156	+	5.24683i	−1.22271	+	0.445031i	−0.351616	+	0.936144i	$0.614368\pi$
$140$	14.3971			1.21678
$141$	−3.09753	−	5.20648i	−0.260859	−	0.438465i
$142$	−0.727937	+	4.12834i	−0.0610872	+	0.346442i
$143$	3.45705	−	1.25826i	0.289093	−	0.105221i
$144$	−1.43147	+	2.63645i	−0.119290	+	0.219704i
$145$	17.6489	−	30.5688i	1.46566	−	2.53860i
$146$	6.70637	+	5.62732i	0.555023	+	0.465720i
$147$	2.53563	+	13.3555i	0.209136	+	1.10155i
$148$	−1.22411	+	6.94230i	−0.100622	+	0.570653i
$149$	4.68704	−	3.93289i	0.383977	−	0.322195i	−0.430284	−	0.902693i	$-0.641587\pi$
$149$	4.68704	−	3.93289i	0.383977	−	0.322195i	0.814261	+	0.580498i	$0.197142\pi$
$150$	−11.7559	+	10.1296i	−0.959867	+	0.827075i
$151$	3.18798	−	5.52174i	0.259434	−	0.449353i	−0.706656	−	0.707557i	$-0.749797\pi$
$151$	3.18798	−	5.52174i	0.259434	−	0.449353i	0.966090	+	0.258204i	$0.0831307\pi$
$152$	−3.25577	−	2.89827i	−0.264078	−	0.235081i
$153$	−3.39667	+	6.25590i	−0.274605	+	0.505760i
$154$	2.63094	+	0.957582i	0.212007	+	0.0771642i
$155$	22.4335	+	8.16513i	1.80190	+	0.655839i
$156$	6.79141	+	5.54881i	0.543748	+	0.444260i
$157$	2.62749	+	0.956329i	0.209697	+	0.0763234i	0.444733	−	0.895663i	$-0.353299\pi$
$157$	2.62749	+	0.956329i	0.209697	+	0.0763234i	−0.235036	+	0.971987i	$0.575521\pi$
$158$	−1.33512	+	0.485944i	−0.106216	+	0.0386596i
$159$	−21.1652	+	0.277077i	−1.67851	+	0.0219736i
$160$	3.73622			0.295374
$161$	7.67482	−	2.79341i	0.604861	−	0.220151i
$162$	8.28454	−	3.51659i	0.650895	−	0.276290i
$163$	5.68179	+	9.84115i	0.445032	+	0.770819i	0.998054	−	0.0623480i	$-0.0198589\pi$
$163$	5.68179	+	9.84115i	0.445032	+	0.770819i	−0.553022	+	0.833167i	$0.686526\pi$
$164$	−2.39779	−	4.15310i	−0.187236	−	0.324303i
$165$	−4.39693	+	1.66585i	−0.342301	+	0.129686i
$166$	−13.2242	−	4.81322i	−1.02640	−	0.373578i
$167$	−1.35267	+	7.67137i	−0.104673	+	0.593628i	0.886678	+	0.462388i	$0.153007\pi$
$167$	−1.35267	+	7.67137i	−0.104673	+	0.593628i	−0.991351	+	0.131241i	$0.958104\pi$
$168$	1.24491	+	6.55713i	0.0960470	+	0.505893i
$169$	9.68087	−	8.12321i	0.744682	−	0.624863i
$170$	8.86549			0.679952
$171$	2.23134	+	12.8849i	0.170635	+	0.985334i
$172$	1.32018			0.100663
$173$	−15.1968	+	12.7516i	−1.15539	+	0.969488i	−0.999832	−	0.0183389i	$-0.994162\pi$
$173$	−15.1968	+	12.7516i	−1.15539	+	0.969488i	−0.155559	+	0.987827i	$0.549718\pi$
$174$	15.4486	+	5.39488i	1.17115	+	0.408985i
$175$	−5.99500	+	33.9993i	−0.453179	+	2.57011i
$176$	0.682760	+	0.248504i	0.0514650	+	0.0187317i
$177$	4.23999	+	3.46422i	0.318697	+	0.260386i
$178$	5.37037	+	9.30175i	0.402526	+	0.697196i
$179$	−3.43218	−	5.94472i	−0.256534	−	0.444329i	0.708777	−	0.705432i	$-0.249247\pi$
$179$	−3.43218	−	5.94472i	−0.256534	−	0.444329i	−0.965311	+	0.261103i	$0.915914\pi$
$180$	−8.77200	−	6.97755i	−0.653826	−	0.520076i
$181$	11.8691	−	4.32001i	0.882226	−	0.321104i	0.139118	−	0.990276i	$-0.455573\pi$
$181$	11.8691	−	4.32001i	0.882226	−	0.321104i	0.743108	+	0.669172i	$0.233351\pi$
$182$	19.5110			1.44625
$183$	5.81534	−	10.3840i	0.429882	−	0.767611i
$184$	1.99171	−	0.724923i	0.146831	−	0.0534420i
$185$	−24.7497	−	9.00816i	−1.81964	−	0.662293i
$186$	−1.77897	+	10.9233i	−0.130441	+	0.800938i
$187$	1.62009	+	0.589663i	0.118472	+	0.0431204i
$188$	−3.28678	−	1.19629i	−0.239713	−	0.0872485i
$189$	9.32287	−	17.7199i	0.678139	−	1.28893i
$190$	12.7764	−	10.0991i	0.926895	−	0.732667i
$191$	−3.81265	+	6.60371i	−0.275874	+	0.477828i	−0.970355	−	0.241683i	$-0.922301\pi$
$191$	−3.81265	+	6.60371i	−0.275874	+	0.477828i	0.694481	+	0.719511i	$0.255634\pi$
$192$	0.323070	+	1.70165i	0.0233156	+	0.122806i
$193$	15.8857	−	13.3297i	1.14348	−	0.959490i	0.143929	−	0.989588i	$-0.454026\pi$
$193$	15.8857	−	13.3297i	1.14348	−	0.959490i	0.999547	+	0.0300978i	$0.00958187\pi$
$194$	1.98448	−	11.2546i	0.142478	−	0.808031i
$195$	−24.8228	+	21.3887i	−1.77760	+	1.53168i
$196$	6.01235	+	5.04496i	0.429454	+	0.360354i
$197$	−1.60989	+	2.78841i	−0.114700	+	0.198666i	−0.917660	−	0.397367i	$-0.869924\pi$
$197$	−1.60989	+	2.78841i	−0.114700	+	0.198666i	0.802960	+	0.596033i	$0.203257\pi$
$198$	−1.13891	−	1.85853i	−0.0809388	−	0.132080i
$199$	−8.85444	+	3.22275i	−0.627674	+	0.228455i	−0.636219	−	0.771509i	$-0.719502\pi$
$199$	−8.85444	+	3.22275i	−0.627674	+	0.228455i	0.00854443	+	0.999963i	$0.497280\pi$
$200$	−1.55577	+	8.82324i	−0.110010	+	0.623897i
$201$	1.09701	−	0.0143611i	0.0773770	−	0.00101295i
$202$	−10.2144			−0.718682
$203$	34.2092	−	12.4511i	2.40102	−	0.873899i
$204$	0.766596	+	4.03777i	0.0536724	+	0.282700i
$205$	16.8368	−	6.12811i	1.17594	−	0.428005i
$206$	1.44390	+	8.18875i	0.100601	+	0.570537i
$207$	−6.03001	−	2.01761i	−0.419115	−	0.140233i
$208$	5.06335			0.351080
$209$	3.00648	−	0.995736i	0.207962	−	0.0688765i
$210$	−24.9344	+	0.326419i	−1.72063	+	0.0225250i
$211$	3.40757	+	19.3253i	0.234587	+	1.33041i	0.843482	+	0.537158i	$0.180502\pi$
$211$	3.40757	+	19.3253i	0.234587	+	1.33041i	−0.608894	+	0.793251i	$0.708387\pi$
$212$	−9.36167	+	7.85537i	−0.642962	+	0.539509i
$213$	1.16712	−	7.16638i	0.0799695	−	0.491033i
$214$	−0.817136	−	4.63421i	−0.0558583	−	0.316788i
$215$	−0.856519	+	4.85756i	−0.0584141	+	0.331283i
$216$	2.41940	−	4.59853i	0.164619	−	0.312891i
$217$	12.3109	+	21.3232i	0.835721	+	1.44751i
$218$	2.07698	−	11.7791i	0.140671	−	0.797783i
$219$	−11.7424	−	9.59391i	−0.793476	−	0.648296i
$220$	−1.35733	+	2.35096i	−0.0915110	+	0.158502i
$221$	12.0146			0.808186
$222$	1.96265	−	12.0511i	0.131724	−	0.808819i
$223$	3.71190	+	21.0512i	0.248567	+	1.40969i	0.812061	+	0.583573i	$0.198346\pi$
$223$	3.71190	+	21.0512i	0.248567	+	1.40969i	−0.563493	+	0.826121i	$0.690543\pi$
$224$	2.95186	+	2.47691i	0.197230	+	0.165495i
$225$	20.1305	−	17.8099i	1.34203	−	1.18733i
$226$	−9.71915	−	3.53748i	−0.646508	−	0.235310i
$227$	5.38318	−	9.32394i	0.357294	−	0.618851i	−0.630214	−	0.776422i	$-0.717033\pi$
$227$	5.38318	−	9.32394i	0.357294	−	0.618851i	0.987508	+	0.157570i	$0.0503661\pi$
$228$	5.70439	+	4.94570i	0.377782	+	0.327537i
$229$	0.416501	+	0.721400i	0.0275231	+	0.0476715i	0.879459	−	0.475975i	$-0.157905\pi$
$229$	0.416501	+	0.721400i	0.0275231	+	0.0476715i	−0.851936	+	0.523646i	$0.824571\pi$
$230$	1.37513	+	7.79874i	0.0906732	+	0.514233i
$231$	−4.57824	−	1.59879i	−0.301226	−	0.105193i
$232$	8.87771	−	3.23122i	0.582850	−	0.212140i
$233$	−6.19054	+	5.19448i	−0.405556	+	0.340302i	−0.822636	−	0.568568i	$-0.807498\pi$
$233$	−6.19054	+	5.19448i	−0.405556	+	0.340302i	0.417081	+	0.908869i	$0.363053\pi$
$234$	−11.8879	−	9.45601i	−0.777134	−	0.618159i
$235$	6.53413	−	11.3174i	0.426239	−	0.738268i
$236$	3.16113			0.205772
$237$	2.30128	−	0.871877i	0.149484	−	0.0566345i
$238$	7.00433	+	5.87733i	0.454023	+	0.380970i
$239$	7.89460	−	13.6739i	0.510659	−	0.884488i	−0.489264	−	0.872136i	$-0.662735\pi$
$239$	7.89460	−	13.6739i	0.510659	−	0.884488i	0.999924	−	0.0123525i	$-0.00393202\pi$
$240$	−6.47077	+	0.0847097i	−0.417686	+	0.00546799i
$241$	−12.1906	−	10.2291i	−0.785263	−	0.658914i	0.159305	−	0.987229i	$-0.449075\pi$
$241$	−12.1906	−	10.2291i	−0.785263	−	0.658914i	−0.944568	+	0.328315i	$0.893519\pi$
$242$	8.02208	−	6.73133i	0.515679	−	0.432706i
$243$	−14.2683	+	6.27823i	−0.915311	+	0.402749i
$244$	−1.19320	−	6.76696i	−0.0763867	−	0.433210i
$245$	−22.4635	+	18.8491i	−1.43514	+	1.20422i
$246$	4.24691	+	7.13840i	0.270773	+	0.455128i
$247$	17.3146	−	13.6864i	1.10170	−	0.870843i
$248$	3.19484	+	5.53362i	0.202872	+	0.351385i
$249$	23.0122	+	8.03620i	1.45834	+	0.509273i
$250$	−13.9009	−	5.05950i	−0.879169	−	0.319991i
$251$	−8.04929	−	6.75416i	−0.508067	−	0.426319i	0.352381	−	0.935856i	$-0.385372\pi$
$251$	−8.04929	−	6.75416i	−0.508067	−	0.426319i	−0.860448	+	0.509538i	$0.829816\pi$
$252$	−2.30473	−	11.3281i	−0.145185	−	0.713602i
$253$	−0.267419	+	1.51661i	−0.0168125	+	0.0953485i
$254$	−9.34686	−	16.1892i	−0.586474	−	1.01580i
$255$	−15.3542	+	0.201003i	−0.961515	+	0.0125873i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	1.64363	+	1.37917i	0.102527	+	0.0860301i	0.692610	−	0.721312i	$-0.256461\pi$
$257$	1.64363	+	1.37917i	0.102527	+	0.0860301i	−0.590083	+	0.807342i	$0.700905\pi$
$258$	−2.28643	+	0.0299319i	−0.142347	+	0.00186348i
$259$	−13.5820	−	23.5247i	−0.843945	−	1.46176i
$260$	−3.28504	+	18.6304i	−0.203729	+	1.15541i
$261$	−26.8778	−	8.99315i	−1.66369	−	0.556662i
$262$	−13.9169	−	11.6777i	−0.859792	−	0.721451i
$263$	−29.1473	−	10.6087i	−1.79730	−	0.654164i	−0.998626	−	0.0523986i	$-0.983313\pi$
$263$	−29.1473	−	10.6087i	−1.79730	−	0.654164i	−0.798673	−	0.601765i	$-0.794464\pi$
$264$	−1.18811	−	0.414905i	−0.0731230	−	0.0255357i
$265$	−22.8298	−	39.5423i	−1.40242	−	2.42907i
$266$	16.7893	+	0.491050i	1.02942	+	0.0301082i
$267$	−9.51185	−	15.9880i	−0.582116	−	0.978448i
$268$	0.485222	−	0.407150i	0.0296397	−	0.0248706i
$269$	0.128491	+	0.728708i	0.00783423	+	0.0444301i	0.988474	−	0.151389i	$-0.0483746\pi$
$269$	0.128491	+	0.728708i	0.00783423	+	0.0444301i	−0.980640	+	0.195819i	$0.937263\pi$
$270$	15.3504	+	11.8856i	0.934198	+	0.723332i
$271$	2.14177	−	1.79716i	0.130103	−	0.109169i	−0.575414	−	0.817862i	$-0.695159\pi$
$271$	2.14177	−	1.79716i	0.130103	−	0.109169i	0.705517	+	0.708693i	$0.250715\pi$
$272$	1.81771	+	1.52524i	0.110215	+	0.0924811i
$273$	−33.7912	+	0.442365i	−2.04514	+	0.0267731i
$274$	−1.37059	+	2.37394i	−0.0828005	+	0.143415i
$275$	−4.98669	−	4.18433i	−0.300709	−	0.252325i
$276$	−3.43301	+	1.30065i	−0.206643	+	0.0782901i
$277$	27.4043			1.64656			0.823281	−	0.567634i	$-0.192141\pi$
$277$	27.4043			1.64656			0.823281	+	0.567634i	$0.192141\pi$
$278$	7.67036	−	13.2854i	0.460037	−	0.796808i
$279$	2.83335	−	18.9585i	0.169628	−	1.13501i
$280$	−11.0288	+	9.25427i	−0.659098	+	0.553049i
$281$	−22.0272	+	8.01726i	−1.31403	+	0.478269i	−0.901542	−	0.432691i	$-0.857564\pi$
$281$	−22.0272	+	8.01726i	−1.31403	+	0.478269i	−0.412493	+	0.910961i	$0.635342\pi$
$282$	5.71951	+	1.99734i	0.340592	+	0.118940i
$283$	2.07560	+	11.7713i	0.123382	+	0.699733i	0.982256	+	0.187546i	$0.0600534\pi$
$283$	2.07560	+	11.7713i	0.123382	+	0.699733i	−0.858874	+	0.512187i	$0.828835\pi$
$284$	−2.09601	−	3.63040i	−0.124375	−	0.215425i
$285$	−21.8984	+	17.7804i	−1.29715	+	1.05322i
$286$	−1.83946	+	3.18603i	−0.108769	+	0.188394i
$287$	17.3648	+	6.32027i	1.02501	+	0.373074i
$288$	−0.598106	−	2.93977i	−0.0352437	−	0.173228i
$289$	−8.70961	−	7.30823i	−0.512330	−	0.429896i
$290$	6.12940	+	34.7616i	0.359931	+	2.04127i
$291$	−3.18176	+	19.5368i	−0.186518	+	1.14527i
$292$	−8.75455			−0.512321
$293$	−1.06055	+	1.83693i	−0.0619580	+	0.107314i	−0.895341	−	0.445382i	$-0.853068\pi$
$293$	−1.06055	+	1.83693i	−0.0619580	+	0.107314i	0.833383	+	0.552697i	$0.186401\pi$
$294$	−10.5272	−	8.60107i	−0.613958	−	0.501624i
$295$	−2.05091	+	11.6313i	−0.119408	+	0.677199i
$296$	−3.52470	−	6.10495i	−0.204869	−	0.354843i
$297$	2.01462	+	3.19297i	0.116900	+	0.185275i
$298$	−1.06246	+	6.02554i	−0.0615469	+	0.349050i
$299$	1.86358	+	10.5689i	0.107774	+	0.611215i
$300$	2.49440	−	15.3163i	0.144015	−	0.884285i
$301$	−3.89700	+	3.26997i	−0.224619	+	0.188478i
$302$	1.10717	+	6.27909i	0.0637107	+	0.361321i
$303$	17.6903	−	0.231586i	1.01628	−	0.0133043i
$304$	4.35704	+	0.127434i	0.249893	+	0.00730881i
$305$	25.6729			1.47003
$306$	−1.41922	−	6.97564i	−0.0811312	−	0.398771i
$307$	−2.25406	−	12.7834i	−0.128646	−	0.729588i	−0.979075	−	0.203499i	$-0.934769\pi$
$307$	−2.25406	−	12.7834i	−0.128646	−	0.729588i	0.850429	−	0.526090i	$-0.176342\pi$
$308$	−2.63094	+	0.957582i	−0.149911	+	0.0545633i
$309$	−2.68635	−	14.1494i	−0.152821	−	0.804930i
$310$	−22.4335	+	8.16513i	−1.27414	+	0.463748i
$311$	29.9324			1.69731			0.848656	−	0.528945i	$-0.177412\pi$
$311$	29.9324			1.69731			0.848656	+	0.528945i	$0.177412\pi$
$312$	−8.76922	+	0.114799i	−0.496459	+	0.00649921i
$313$	0.348848	−	1.97841i	0.0197180	−	0.111827i	−0.973360	−	0.229281i	$-0.926362\pi$
$313$	0.348848	−	1.97841i	0.0197180	−	0.111827i	0.993078	+	0.117455i	$0.0374735\pi$
$314$	−2.62749	+	0.956329i	−0.148278	+	0.0539688i
$315$	43.1765	−	1.13065i	2.43272	−	0.0637050i
$316$	0.710402	−	1.23045i	0.0399632	−	0.0692183i
$317$	−3.27559	−	2.74855i	−0.183976	−	0.154374i	0.546149	−	0.837688i	$-0.316093\pi$
$317$	−3.27559	−	2.74855i	−0.183976	−	0.154374i	−0.730124	+	0.683314i	$0.760538\pi$
$318$	16.0354	−	13.8170i	0.899220	−	0.774818i
$319$	−1.19198	+	6.76004i	−0.0667379	+	0.378489i
$320$	−2.86211	+	2.40160i	−0.159997	+	0.134253i
$321$	1.52027	+	8.00747i	0.0848532	+	0.446933i
$322$	−4.08369	+	7.07315i	−0.227575	+	0.394171i
$323$	10.3386	+	0.302380i	0.575254	+	0.0168249i
$324$	−4.08590	+	8.01907i	−0.226995	+	0.445504i
$325$	−42.6285	−	15.5155i	−2.36460	−	0.860645i
$326$	−10.6783	−	3.88657i	−0.591415	−	0.215257i
$327$	−3.33006	+	20.4474i	−0.184153	+	1.13074i
$328$	4.50638	+	1.64019i	0.248823	+	0.0905642i
$329$	12.6652	−	4.60977i	0.698257	−	0.254145i
$330$	2.29746	−	4.10241i	0.126471	−	0.225830i
$331$	−5.42706			−0.298298			−0.149149	−	0.988815i	$-0.547653\pi$
$331$	−5.42706			−0.298298			−0.149149	+	0.988815i	$0.547653\pi$
$332$	13.2242	−	4.81322i	0.725773	−	0.264160i
$333$	−3.12588	+	20.9159i	−0.171297	+	1.14618i
$334$	−3.89486	−	6.74609i	−0.213117	−	0.369129i
$335$	1.18328	+	2.04951i	0.0646497	+	0.111977i
$336$	−5.16850	−	4.22284i	−0.281965	−	0.230375i
$337$	33.4007	+	12.1569i	1.81945	+	0.662227i	0.995410	+	0.0957017i	$0.0305095\pi$
$337$	33.4007	+	12.1569i	1.81945	+	0.662227i	0.824044	+	0.566525i	$0.191713\pi$
$338$	−2.19448	+	12.4455i	−0.119364	+	0.676945i
$339$	16.9128	+	5.90621i	0.918578	+	0.320781i
$340$	−6.79136	+	5.69863i	−0.368313	+	0.309051i
$341$	−4.64260			−0.251411
$342$	−9.99157	−	8.43614i	−0.540282	−	0.456174i
$343$	−3.26985			−0.176555
$344$	−1.01132	+	0.848597i	−0.0545267	+	0.0457533i
$345$	−2.55840	−	13.4755i	−0.137740	−	0.725495i
$346$	3.44483	−	19.5366i	0.185195	−	1.05030i
$347$	−2.40585	−	0.875658i	−0.129153	−	0.0470078i	0.276635	−	0.960975i	$-0.410781\pi$
$347$	−2.40585	−	0.875658i	−0.129153	−	0.0470078i	−0.405788	+	0.913967i	$0.633003\pi$
$348$	−15.3021	+	5.79744i	−0.820277	+	0.310776i
$349$	7.90780	+	13.6967i	0.423295	+	0.733168i	0.996259	−	0.0864119i	$-0.0275401\pi$
$349$	7.90780	+	13.6967i	0.423295	+	0.733168i	−0.572965	+	0.819580i	$0.694207\pi$
$350$	−17.2619	−	29.8985i	−0.922688	−	1.59814i
$351$	20.8030	+	16.1074i	1.11038	+	0.859747i
$352$	−0.682760	+	0.248504i	−0.0363912	+	0.0132453i
$353$	13.3276			0.709355			0.354678	−	0.934989i	$-0.384591\pi$
$353$	13.3276			0.709355			0.354678	+	0.934989i	$0.384591\pi$
$354$	−5.47478	+	0.0716710i	−0.290981	+	0.00380927i
$355$	14.7178	−	5.35683i	0.781139	−	0.284311i
$356$	−10.0930	−	3.67355i	−0.534928	−	0.194698i
$357$	−12.2641	−	10.0202i	−0.649083	−	0.530323i
$358$	6.45040	+	2.34775i	0.340914	+	0.124083i
$359$	−8.78404	−	3.19713i	−0.463604	−	0.168738i	0.0996488	−	0.995023i	$-0.468228\pi$
$359$	−8.78404	−	3.19713i	−0.463604	−	0.168738i	−0.563253	+	0.826285i	$0.690450\pi$
$360$	11.2048	−	0.293418i	0.590546	−	0.0154645i
$361$	15.2438	−	11.3414i	0.802303	−	0.596917i
$362$	−6.31544	+	10.9387i	−0.331932	+	0.574923i
$363$	−13.7408	+	11.8399i	−0.721207	+	0.621433i
$364$	−14.9463	+	12.5414i	−0.783399	+	0.657350i
$365$	5.67985	−	32.2120i	0.297297	−	1.68605i
$366$	2.21993	+	11.6927i	0.116037	+	0.611185i
$367$	−10.3038	−	8.64587i	−0.537851	−	0.451311i	0.332951	−	0.942944i	$-0.391956\pi$
$367$	−10.3038	−	8.64587i	−0.537851	−	0.451311i	−0.870802	+	0.491633i	$0.836400\pi$
$368$	−1.05977	+	1.83557i	−0.0552442	+	0.0956857i
$369$	−7.51708	−	12.2667i	−0.391323	−	0.638580i
$370$	24.7497	−	9.00816i	1.28668	−	0.468312i
$371$	8.17733	−	46.3760i	0.424546	−	2.40772i
$372$	−5.65861	−	9.51126i	−0.293385	−	0.493136i
$373$	−33.8716			−1.75381			−0.876903	−	0.480667i	$-0.840395\pi$
$373$	−33.8716			−1.75381			−0.876903	+	0.480667i	$0.840395\pi$
$374$	−1.62009	+	0.589663i	−0.0837727	+	0.0304908i
$375$	24.1897	+	8.44740i	1.24915	+	0.436222i
$376$	3.28678	−	1.19629i	0.169503	−	0.0616940i
$377$	8.30660	+	47.1091i	0.427812	+	2.42624i
$378$	4.24841	+	19.5669i	0.218515	+	1.00641i
$379$	19.7531			1.01465			0.507324	−	0.861756i	$-0.330635\pi$
$379$	19.7531			1.01465			0.507324	+	0.861756i	$0.330635\pi$
$380$	−3.29568	+	15.9489i	−0.169065	+	0.818159i
$381$	16.5549	+	27.8263i	0.848133	+	1.42558i
$382$	−1.32412	−	7.50946i	−0.0677479	−	0.384217i
$383$	−16.7853	+	14.0845i	−0.857689	+	0.719686i	−0.961469	−	0.274914i	$-0.911351\pi$
$383$	−16.7853	+	14.0845i	−0.857689	+	0.719686i	0.103780	+	0.994600i	$0.466906\pi$
$384$	−1.34129	−	1.09588i	−0.0684473	−	0.0559238i
$385$	−1.81647	−	10.3017i	−0.0925757	−	0.525023i
$386$	−3.60099	+	20.4222i	−0.183286	+	1.03946i
$387$	3.95919	−	0.103678i	0.201257	−	0.00527027i
$388$	5.71409	+	9.89710i	0.290089	+	0.502449i
$389$	−0.602628	+	3.41767i	−0.0305544	+	0.173283i	−0.996266	−	0.0863334i	$-0.972485\pi$
$389$	−0.602628	+	3.41767i	−0.0305544	+	0.173283i	0.965712	+	0.259616i	$0.0835961\pi$
$390$	5.26697	−	32.3405i	0.266703	−	1.63762i
$391$	−2.51467	+	4.35553i	−0.127172	+	0.220269i
$392$	−7.84857			−0.396412
$393$	24.3676	+	19.9091i	1.22918	+	1.00428i
$394$	−0.559109	−	3.17087i	−0.0281675	−	0.159746i
$395$	4.06650	+	3.41220i	0.204608	+	0.171686i
$396$	2.06709	+	0.691638i	0.103875	+	0.0347561i
$397$	−2.96637	−	1.07967i	−0.148878	−	0.0541870i	0.266507	−	0.963833i	$-0.414131\pi$
$397$	−2.96637	−	1.07967i	−0.148878	−	0.0541870i	−0.415384	+	0.909646i	$0.636353\pi$
$398$	4.71135	−	8.16029i	0.236158	−	0.409038i
$399$	−29.0886	−	0.469794i	−1.45625	−	0.0235191i
$400$	−4.47967	−	7.75902i	−0.223984	−	0.387951i
$401$	−0.135027	−	0.765775i	−0.00674292	−	0.0382410i	0.981251	−	0.192736i	$-0.0617361\pi$
$401$	−0.135027	−	0.765775i	−0.00674292	−	0.0382410i	−0.987994	+	0.154495i	$0.950625\pi$
$402$	−0.831126	+	0.716145i	−0.0414528	+	0.0357181i
$403$	−30.4020	+	11.0654i	−1.51443	+	0.551208i
$404$	7.82467	−	6.56568i	0.389292	−	0.326655i
$405$	−26.8549	−	20.2366i	−1.33443	−	1.00556i
$406$	−18.2024	+	31.5274i	−0.903368	+	1.56468i
$407$	5.12193			0.253885
$408$	−3.18267	−	2.60035i	−0.157566	−	0.128737i
$409$	6.28949	+	5.27751i	0.310995	+	0.260956i	0.784903	−	0.619618i	$-0.212713\pi$
$409$	6.28949	+	5.27751i	0.310995	+	0.260956i	−0.473908	+	0.880574i	$0.657157\pi$
$410$	−8.95869	+	15.5169i	−0.442438	+	0.766325i
$411$	2.31991	−	4.14250i	0.114433	−	0.204335i
$412$	−6.36972	−	5.34483i	−0.313813	−	0.263321i
$413$	−9.33124	+	7.82984i	−0.459160	+	0.385281i
$414$	5.91615	−	2.33044i	0.290763	−	0.114535i
$415$	9.13034	+	51.7807i	0.448191	+	2.54181i
$416$	−3.87875	+	3.25466i	−0.190171	+	0.159573i
$417$	−12.9831	+	23.1830i	−0.635785	+	1.13528i
$418$	−1.66305	+	2.69530i	−0.0813424	+	0.131832i
$419$	−9.96358	−	17.2574i	−0.486753	−	0.843081i	0.513131	−	0.858310i	$-0.328485\pi$
$419$	−9.96358	−	17.2574i	−0.486753	−	0.843081i	−0.999884	+	0.0152296i	$0.995152\pi$
$420$	18.8910	−	16.2776i	0.921787	−	0.794263i
$421$	−3.42854	−	1.24789i	−0.167097	−	0.0608183i	0.257117	−	0.966380i	$-0.417227\pi$
$421$	−3.42854	−	1.24789i	−0.167097	−	0.0608183i	−0.424214	+	0.905562i	$0.639450\pi$
$422$	−15.0324	−	12.6137i	−0.731767	−	0.614025i
$423$	−9.95091	−	3.32952i	−0.483830	−	0.161887i
$424$	2.12212	−	12.0351i	0.103059	−	0.584477i
$425$	−10.6296	−	18.4110i	−0.515611	−	0.893064i
$426$	3.71240	+	6.23998i	0.179866	+	0.302328i
$427$	20.2833	+	17.0197i	0.981578	+	0.823641i
$428$	3.60477	+	3.02477i	0.174243	+	0.146208i
$429$	3.11353	−	5.55961i	0.150322	−	0.268420i
$430$	−2.46625	−	4.27167i	−0.118933	−	0.205998i
$431$	3.20750	−	18.1907i	0.154500	−	0.876213i	−0.804742	−	0.593625i	$-0.797696\pi$
$431$	3.20750	−	18.1907i	0.154500	−	0.876213i	0.959242	−	0.282588i	$-0.0911928\pi$
$432$	1.10251	+	5.07784i	0.0530447	+	0.244308i
$433$	29.8783	+	25.0709i	1.43586	+	1.20483i	0.942144	+	0.335208i	$0.108806\pi$
$433$	29.8783	+	25.0709i	1.43586	+	1.20483i	0.493717	+	0.869623i	$0.335638\pi$
$434$	−23.1370	−	8.42118i	−1.11061	−	0.404230i
$435$	−11.4037	−	60.0647i	−0.546764	−	2.87988i
$436$	5.98042	+	10.3584i	0.286410	+	0.496077i
$437$	1.33762	+	9.14149i	0.0639872	+	0.437297i
$438$	15.1620	−	0.198488i	0.724469	−	0.00948412i
$439$	14.5522	−	12.2108i	0.694541	−	0.582789i	−0.225674	−	0.974203i	$-0.572458\pi$
$439$	14.5522	−	12.2108i	0.694541	−	0.582789i	0.920215	+	0.391414i	$0.128014\pi$
$440$	−0.471395	−	2.67341i	−0.0224729	−	0.127450i
$441$	18.4271	+	14.6575i	0.877479	+	0.697977i
$442$	−9.20368	+	7.72281i	−0.437775	+	0.367336i
$443$	1.33267	+	1.11824i	0.0633169	+	0.0531292i	0.673897	−	0.738825i	$-0.264619\pi$
$443$	1.33267	+	1.11824i	0.0633169	+	0.0531292i	−0.610580	+	0.791955i	$0.709064\pi$
$444$	6.24285	+	10.4933i	0.296272	+	0.497989i
$445$	20.0649	−	34.7534i	0.951167	−	1.64747i
$446$	−16.3749	−	13.7402i	−0.775376	−	0.650618i
$447$	1.70347	−	10.4597i	0.0805714	−	0.494728i
$448$	−3.85338			−0.182055
$449$	−2.30852	+	3.99847i	−0.108946	+	0.188700i	−0.915343	−	0.402674i	$-0.868081\pi$
$449$	−2.30852	+	3.99847i	−0.108946	+	0.188700i	0.806398	+	0.591374i	$0.201414\pi$
$450$	−3.97281	+	26.5828i	−0.187280	+	1.25313i
$451$	−2.66918	+	2.23971i	−0.125687	+	0.105464i
$452$	9.71915	−	3.53748i	0.457150	−	0.166389i
$453$	−2.05988	−	10.8497i	−0.0967816	−	0.509762i
$454$	1.86956	+	10.6028i	0.0877427	+	0.497613i
$455$	−36.4487	−	63.1311i	−1.70874	−	2.95963i
$456$	−7.54885	−	0.121917i	−0.353507	−	0.00570930i
$457$	−7.01710	+	12.1540i	−0.328246	+	0.568539i	−0.982164	−	0.188027i	$-0.939791\pi$
$457$	−7.01710	+	12.1540i	−0.328246	+	0.568539i	0.653918	+	0.756566i	$0.273124\pi$
$458$	−0.782765	−	0.284903i	−0.0365762	−	0.0133127i
$459$	2.61610	+	12.0489i	0.122109	+	0.562397i
$460$	−6.06634	−	5.09026i	−0.282845	−	0.237335i
$461$	−5.99835	−	34.0184i	−0.279371	−	1.58439i	−0.724725	−	0.689038i	$-0.758033\pi$
$461$	−5.99835	−	34.0184i	−0.279371	−	1.58439i	0.445354	−	0.895355i	$-0.353078\pi$
$462$	4.53481	−	1.71809i	0.210979	−	0.0799328i
$463$	1.01913			0.0473629			0.0236814	−	0.999720i	$-0.492461\pi$
$463$	1.01913			0.0473629			0.0236814	+	0.999720i	$0.492461\pi$
$464$	−4.72373	+	8.18175i	−0.219294	+	0.379828i
$465$	38.6675	−	14.6498i	1.79316	−	0.679370i
$466$	1.40328	−	7.95840i	0.0650058	−	0.368666i
$467$	2.99565	+	5.18862i	0.138622	+	0.240101i	0.926975	−	0.375122i	$-0.122399\pi$
$467$	2.99565	+	5.18862i	0.138622	+	0.240101i	−0.788353	+	0.615223i	$0.789066\pi$
$468$	15.1848	−	0.397641i	0.701919	−	0.0183810i
$469$	−0.423837	+	2.40370i	−0.0195710	+	0.110993i
$470$	2.26928	+	12.8697i	0.104674	+	0.593636i
$471$	4.52888	−	1.71584i	0.208680	−	0.0790618i
$472$	−2.42157	+	2.03194i	−0.111462	+	0.0935275i
$473$	−0.166566	−	0.944643i	−0.00765872	−	0.0434347i
$474$	−1.20245	+	2.14713i	−0.0552303	+	0.0986209i
$475$	−36.2915	−	14.4240i	−1.66517	−	0.661820i
$476$	−9.14350			−0.419091
$477$	−27.4585	+	24.2932i	−1.25724	+	1.11231i
$478$	2.74177	+	15.5493i	0.125405	+	0.711210i
$479$	5.64398	−	2.05424i	0.257880	−	0.0938606i	−0.209845	−	0.977735i	$-0.567296\pi$
$479$	5.64398	−	2.05424i	0.257880	−	0.0938606i	0.467725	+	0.883874i	$0.345074\pi$
$480$	4.90245	−	4.22422i	0.223765	−	0.192808i
$481$	33.5409	−	12.2079i	1.52934	−	0.556633i
$482$	15.9136			0.724847
$483$	6.91218	−	12.3426i	0.314515	−	0.561608i
$484$	−1.81846	+	10.3130i	−0.0826572	+	0.468772i
$485$	−40.1232	+	14.6037i	−1.82190	+	0.663118i
$486$	6.89457	−	13.9809i	0.312744	−	0.634185i
$487$	9.80056	−	16.9751i	0.444106	−	0.769214i	−0.553884	−	0.832594i	$-0.686855\pi$
$487$	9.80056	−	16.9751i	0.444106	−	0.769214i	0.997989	+	0.0633803i	$0.0201881\pi$
$488$	5.26376	+	4.41682i	0.238279	+	0.199940i
$489$	18.5819	+	6.48906i	0.840300	+	0.293446i
$490$	5.09206	−	28.8785i	0.230036	−	1.30460i
$491$	−3.33780	+	2.80075i	−0.150633	+	0.126396i	−0.714990	−	0.699135i	$-0.753569\pi$
$491$	−3.33780	+	2.80075i	−0.150633	+	0.126396i	0.564357	+	0.825531i	$0.309124\pi$
$492$	−7.84180	−	2.73847i	−0.353536	−	0.123460i
$493$	−11.2087	+	19.4140i	−0.504815	+	0.874365i
$494$	−4.46632	+	21.6140i	−0.200949	+	0.972459i
$495$	−3.88596	+	7.15706i	−0.174661	+	0.321686i
$496$	−6.00433	−	2.18540i	−0.269603	−	0.0981273i
$497$	15.1793	+	5.52482i	0.680885	+	0.247822i
$498$	−22.7939	+	8.63585i	−1.02142	+	0.386982i
$499$	10.4310	+	3.79657i	0.466955	+	0.169958i	0.564773	−	0.825247i	$-0.308964\pi$
$499$	10.4310	+	3.79657i	0.466955	+	0.169958i	−0.0978172	+	0.995204i	$0.531186\pi$
$500$	13.9009	−	5.05950i	0.621666	−	0.226268i
$501$	6.89846	+	11.5953i	0.308200	+	0.518038i
$502$	10.5076			0.468977
$503$	13.0870	−	4.76330i	0.583523	−	0.212385i	−0.0333555	−	0.999444i	$-0.510619\pi$
$503$	13.0870	−	4.76330i	0.583523	−	0.212385i	0.616878	+	0.787059i	$0.288397\pi$
$504$	9.04707	+	7.19636i	0.402989	+	0.320551i
$505$	19.0816	+	33.0503i	0.849120	+	1.47072i
$506$	−0.770003	−	1.33368i	−0.0342308	−	0.0592895i
$507$	3.51845	−	21.6041i	0.156260	−	0.959473i
$508$	17.5663	+	6.39363i	0.779381	+	0.283671i
$509$	4.84811	−	27.4950i	0.214889	−	1.21869i	−0.666211	−	0.745764i	$-0.732085\pi$
$509$	4.84811	−	27.4950i	0.214889	−	1.21869i	0.881099	−	0.472931i	$-0.156804\pi$
$510$	11.6328	−	10.0234i	0.515108	−	0.443845i
$511$	25.8422	−	21.6842i	1.14319	−	0.959253i
$512$	−1.00000			−0.0441942
$513$	17.4957	+	14.3840i	0.772454	+	0.635071i
$514$	−2.14560			−0.0946385
$515$	23.7987	−	19.9695i	1.04869	−	0.879959i
$516$	1.73227	−	1.49262i	0.0762587	−	0.0657088i
$517$	−0.441304	+	2.50276i	−0.0194085	+	0.110071i
$518$	25.5258	+	9.29064i	1.12154	+	0.408207i
$519$	−5.52317	+	33.9136i	−0.242440	+	1.48864i
$520$	−9.45889	−	16.3833i	−0.414800	−	0.718454i
$521$	−3.12732	−	5.41667i	−0.137010	−	0.237309i	0.789353	−	0.613939i	$-0.210416\pi$
$521$	−3.12732	−	5.41667i	−0.137010	−	0.237309i	−0.926364	+	0.376631i	$0.877083\pi$
$522$	26.3703	−	10.3875i	1.15419	−	0.454651i
$523$	−14.6776	+	5.34222i	−0.641808	+	0.233599i	−0.642363	−	0.766401i	$-0.722046\pi$
$523$	−14.6776	+	5.34222i	−0.641808	+	0.233599i	0.000554563		1.00000i	$0.499823\pi$
$524$	18.1673			0.793641
$525$	30.5738	+	51.3899i	1.33435	+	2.24284i
$526$	29.1473	−	10.6087i	1.27088	−	0.462563i
$527$	−14.2474	−	5.18562i	−0.620625	−	0.225889i
$528$	1.17684	−	0.445865i	0.0512154	−	0.0194038i
$529$	17.3914	+	6.32996i	0.756149	+	0.275216i
$530$	42.9060	+	15.6165i	1.86372	+	0.678337i
$531$	9.48015	−	0.248254i	0.411404	−	0.0107733i
$532$	−13.1770	+	10.4158i	−0.571296	+	0.451583i
$533$	−12.1409	+	21.0286i	−0.525879	+	0.910850i
$534$	17.5634	+	6.13339i	0.760041	+	0.265418i
$535$	−13.4682	+	11.3012i	−0.582283	+	0.488593i
$536$	−0.109991	+	0.623790i	−0.00475088	+	0.0269436i
$537$	−11.2247	−	3.91983i	−0.484381	−	0.169153i
$538$	−0.566834	−	0.475631i	−0.0244380	−	0.0205059i
$539$	2.85130	−	4.93859i	0.122814	−	0.212720i
$540$	−19.3990	+	0.762213i	−0.834800	+	0.0328004i
$541$	−26.9225	+	9.79900i	−1.15749	+	0.421292i	−0.848200	−	0.529676i	$-0.822313\pi$
$541$	−26.9225	+	9.79900i	−1.15749	+	0.421292i	−0.309290	+	0.950968i	$0.600091\pi$
$542$	−0.485499	+	2.75340i	−0.0208540	+	0.118269i
$543$	10.6897	−	19.0879i	0.458740	−	0.819139i
$544$	−2.37285			−0.101735
$545$	−41.9933	+	15.2843i	−1.79880	+	0.654708i
$546$	25.6012	−	22.0594i	1.09563	−	0.944056i
$547$	−6.90465	+	2.51309i	−0.295222	+	0.107452i	−0.485385	−	0.874301i	$-0.661320\pi$
$547$	−6.90465	+	2.51309i	−0.295222	+	0.107452i	0.190163	+	0.981752i	$0.439098\pi$
$548$	−0.476002	−	2.69954i	−0.0203338	−	0.115319i
$549$	−4.10980	−	20.2002i	−0.175402	−	0.862125i
$550$	6.50967			0.277573
$551$	5.96224	+	40.7466i	0.254000	+	1.73587i
$552$	1.79380	−	3.20306i	0.0763490	−	0.136331i
$553$	0.950707	+	5.39173i	0.0404282	+	0.229280i
$554$	−20.9929	+	17.6151i	−0.891902	+	0.748395i
$555$	−42.6598	+	16.1624i	−1.81081	+	0.686055i
$556$	2.66389	+	15.1077i	0.112974	+	0.640707i
$557$	−4.29122	+	24.3367i	−0.181825	+	1.03118i	0.748143	+	0.663538i	$0.230946\pi$
$557$	−4.29122	+	24.3367i	−0.181825	+	1.03118i	−0.929968	+	0.367642i	$0.880165\pi$
$558$	10.0158	+	16.3443i	0.424003	+	0.691909i
$559$	−3.34227	−	5.78898i	−0.141363	−	0.244848i
$560$	2.50003	−	14.1784i	0.105646	−	0.599145i
$561$	2.79246	−	1.05797i	0.117898	−	0.0446675i
$562$	11.7204	−	20.3004i	0.494397	−	0.856321i
$563$	−5.84936			−0.246521			−0.123261	−	0.992374i	$-0.539335\pi$
$563$	−5.84936			−0.246521			−0.123261	+	0.992374i	$0.539335\pi$
$564$	−5.66526	+	2.14638i	−0.238551	+	0.0903788i
$565$	6.71035	+	38.0563i	0.282306	+	1.60104i
$566$	−9.15647	−	7.68319i	−0.384875	−	0.322949i
$567$	−7.80146	−	33.7916i	−0.327631	−	1.41911i
$568$	3.93921	+	1.43376i	0.165286	+	0.0601591i
$569$	2.03506	−	3.52483i	0.0853141	−	0.147768i	−0.820211	−	0.572061i	$-0.806144\pi$
$569$	2.03506	−	3.52483i	0.0853141	−	0.147768i	0.905525	+	0.424293i	$0.139477\pi$
$570$	5.34619	−	27.6966i	0.223927	−	1.16008i
$571$	−22.9968	−	39.8315i	−0.962384	−	1.66690i	−0.716485	−	0.697603i	$-0.754250\pi$
$571$	−22.9968	−	39.8315i	−0.962384	−	1.66690i	−0.245899	−	0.969295i	$-0.579083\pi$
$572$	−0.638837	−	3.62303i	−0.0267111	−	0.151486i
$573$	2.46351	+	12.9756i	0.102914	+	0.542065i
$574$	−17.3648	+	6.32027i	−0.724793	+	0.263803i
$575$	14.5469	−	12.2063i	0.606648	−	0.509038i
$576$	2.34783	+	1.86754i	0.0978261	+	0.0778142i
$577$	11.0120	−	19.0733i	0.458435	−	0.794032i	−0.540444	−	0.841380i	$-0.681744\pi$
$577$	11.0120	−	19.0733i	0.458435	−	0.794032i	0.998878	+	0.0473479i	$0.0150769\pi$
$578$	11.3696			0.472913
$579$	5.77354	−	35.4510i	0.239940	−	1.47329i
$580$	−27.0397	−	22.6890i	−1.12276	−	0.942110i
$581$	−27.1142	+	46.9631i	−1.12489	+	1.94836i
$582$	−10.1206	−	17.0113i	−0.419514	−	0.705139i
$583$	6.80198	+	5.70754i	0.281709	+	0.236382i
$584$	6.70637	−	5.62732i	0.277512	−	0.232860i
$585$	−8.38863	+	56.1300i	−0.346827	+	2.32069i
$586$	−0.368325	−	2.08888i	−0.0152154	−	0.0862907i
$587$	3.39697	−	2.85039i	0.140208	−	0.117648i	−0.569986	−	0.821654i	$-0.693052\pi$
$587$	3.39697	−	2.85039i	0.140208	−	0.117648i	0.710194	+	0.704006i	$0.248607\pi$
$588$	13.5930	−	0.177947i	0.560564	−	0.00733841i
$589$	−26.4396	+	8.75671i	−1.08942	+	0.360814i
$590$	−5.90535	−	10.2284i	−0.243119	−	0.421095i
$591$	1.04021	+	5.47895i	0.0427887	+	0.225374i
$592$	6.62426	+	2.41103i	0.272256	+	0.0990929i
$593$	−25.7199	−	21.5816i	−1.05619	−	0.886250i	−0.0624606	−	0.998047i	$-0.519895\pi$
$593$	−25.7199	−	21.5816i	−1.05619	−	0.886250i	−0.993731	+	0.111797i	$0.964339\pi$
$594$	−3.59569	−	1.15098i	−0.147533	−	0.0472254i
$595$	5.93219	−	33.6431i	0.243196	−	1.37923i
$596$	−3.05925	−	5.29877i	−0.125312	−	0.217046i
$597$	−7.97458	+	14.2396i	−0.326378	+	0.582790i
$598$	−8.22114	−	6.89835i	−0.336187	−	0.282095i
$599$	−19.4541	−	16.3240i	−0.794875	−	0.666979i	0.152072	−	0.988369i	$-0.451405\pi$
$599$	−19.4541	−	16.3240i	−0.794875	−	0.666979i	−0.946947	+	0.321390i	$0.895850\pi$
$600$	7.93428	+	13.3363i	0.323915	+	0.544452i
$601$	21.1528	+	36.6377i	0.862841	+	1.49448i	0.869175	+	0.494504i	$0.164650\pi$
$601$	21.1528	+	36.6377i	0.862841	+	1.49448i	−0.00633457	+	0.999980i	$0.502016\pi$
$602$	0.883378	−	5.00989i	0.0360038	−	0.204188i
$603$	1.42319	−	1.25914i	0.0579569	−	0.0512760i
$604$	−4.88427	−	4.09839i	−0.198738	−	0.166761i
$605$	−36.7664	−	13.3819i	−1.49477	−	0.544051i
$606$	−13.4027	+	11.5485i	−0.544448	+	0.469127i
$607$	−2.50291	−	4.33517i	−0.101590	−	0.175959i	0.810750	−	0.585393i	$-0.199060\pi$
$607$	−2.50291	−	4.33517i	−0.101590	−	0.175959i	−0.912340	+	0.409434i	$0.865726\pi$
$608$	−3.41960	+	2.70303i	−0.138683	+	0.109622i
$609$	30.8099	−	55.0151i	1.24848	−	2.22932i
$610$	−19.6666	+	16.5022i	−0.796277	+	0.668155i
$611$	3.07534	+	17.4411i	0.124415	+	0.705592i
$612$	5.57104	+	4.43139i	0.225196	+	0.179129i
$613$	−1.05330	+	0.883824i	−0.0425424	+	0.0356973i	−0.663811	−	0.747900i	$-0.731062\pi$
$613$	−1.05330	+	0.883824i	−0.0425424	+	0.0356973i	0.621269	+	0.783598i	$0.286618\pi$
$614$	9.94374	+	8.34378i	0.401296	+	0.336728i
$615$	15.1638	−	27.0769i	0.611462	−	1.09185i
$616$	1.39989	−	2.42468i	0.0564033	−	0.0976933i
$617$	32.1256	+	26.9566i	1.29333	+	1.08523i	0.991257	+	0.131946i	$0.0421227\pi$
$617$	32.1256	+	26.9566i	1.29333	+	1.08523i	0.302072	+	0.953285i	$0.402322\pi$
$618$	11.1529	+	9.11230i	0.448636	+	0.366550i
$619$	−9.29249			−0.373497			−0.186748	−	0.982408i	$-0.559795\pi$
$619$	−9.29249			−0.373497			−0.186748	+	0.982408i	$0.559795\pi$
$620$	11.9366	−	20.6748i	0.479386	−	0.830322i
$621$	−10.1934	+	4.17023i	−0.409045	+	0.167345i
$622$	−22.9296	+	19.2402i	−0.919392	+	0.771462i
$623$	38.8922	−	14.1556i	1.55818	−	0.567132i
$624$	6.64382	−	5.72469i	0.265966	−	0.229171i
$625$	1.81865	+	10.3141i	0.0727460	+	0.412563i
$626$	1.00447	+	1.73979i	0.0401466	+	0.0695359i
$627$	2.81913	−	4.70571i	0.112585	−	0.187928i
$628$	1.39806	−	2.42151i	0.0557887	−	0.0966288i
$629$	15.7184	+	5.72102i	0.626733	+	0.228112i
$630$	−32.3483	+	28.6194i	−1.28879	+	1.14023i
$631$	−4.21712	−	3.53858i	−0.167881	−	0.140869i	0.554977	−	0.831866i	$-0.312727\pi$
$631$	−4.21712	−	3.53858i	−0.167881	−	0.140869i	−0.722857	+	0.690997i	$0.757172\pi$
$632$	0.246720	+	1.39922i	0.00981400	+	0.0556579i
$633$	26.3207	+	21.5049i	1.04615	+	0.854742i
$634$	4.27598			0.169821
$635$	−34.9219	+	60.4866i	−1.38583	+	2.40034i
$636$	−3.40243	+	20.8918i	−0.134915	+	0.828413i
$637$	6.90078	−	39.1363i	0.273419	−	1.55064i
$638$	−3.43216	−	5.94468i	−0.135881	−	0.235352i
$639$	−6.57099	−	10.7229i	−0.259944	−	0.424190i
$640$	0.648788	−	3.67946i	0.0256456	−	0.145443i
$641$	−0.369507	−	2.09558i	−0.0145946	−	0.0827704i	0.976640	−	0.214880i	$-0.0689360\pi$
$641$	−0.369507	−	2.09558i	−0.0145946	−	0.0827704i	−0.991235	+	0.132110i	$0.957825\pi$
$642$	−6.31170	−	5.15687i	−0.249103	−	0.203525i
$643$	−23.9261	+	20.0764i	−0.943553	+	0.791735i	−0.978200	−	0.207665i	$-0.933414\pi$
$643$	−23.9261	+	20.0764i	−0.943553	+	0.791735i	0.0346471	+	0.999400i	$0.488969\pi$
$644$	−1.41825	−	8.04329i	−0.0558869	−	0.316950i
$645$	4.36815	+	7.34219i	0.171996	+	0.289099i
$646$	−8.11418	+	6.41388i	−0.319248	+	0.252351i
$647$	15.6665			0.615913			0.307956	−	0.951400i	$-0.400355\pi$
$647$	15.6665			0.615913			0.307956	+	0.951400i	$0.400355\pi$
$648$	−2.02457	−	8.76933i	−0.0795328	−	0.344492i
$649$	−0.398837	−	2.26192i	−0.0156557	−	0.0887880i
$650$	42.6285	−	15.5155i	1.67203	−	0.608568i
$651$	40.2620	+	14.0601i	1.57799	+	0.551058i
$652$	10.6783	−	3.88657i	0.418194	−	0.152210i
$653$	−5.90352			−0.231022			−0.115511	−	0.993306i	$-0.536851\pi$
$653$	−5.90352			−0.231022			−0.115511	+	0.993306i	$0.536851\pi$
$654$	−10.5924	−	17.8041i	−0.414194	−	0.696197i
$655$	−11.7867	+	66.8458i	−0.460545	+	2.61188i
$656$	−4.50638	+	1.64019i	−0.175945	+	0.0640386i
$657$	−26.2546	+	0.687524i	−1.02429	+	0.0268229i
$658$	−6.73903	+	11.6723i	−0.262715	+	0.455035i
$659$	12.3647	+	10.3752i	0.481659	+	0.404160i	0.851026	−	0.525124i	$-0.175981\pi$
$659$	12.3647	+	10.3752i	0.481659	+	0.404160i	−0.369367	+	0.929284i	$0.620425\pi$
$660$	0.877023	+	4.61940i	0.0341381	+	0.179810i
$661$	−1.72850	+	9.80279i	−0.0672307	+	0.381284i	0.932564	+	0.361006i	$0.117566\pi$
$661$	−1.72850	+	9.80279i	−0.0672307	+	0.381284i	−0.999794	+	0.0202787i	$0.993545\pi$
$662$	4.15737	−	3.48844i	0.161581	−	0.135582i
$663$	15.7648	−	13.5838i	0.612254	−	0.527552i
$664$	−7.03646	+	12.1875i	−0.273067	+	0.472967i
$665$	−29.7755	−	55.2419i	−1.15464	−	2.14219i
$666$	−11.0499	−	18.0318i	−0.428175	−	0.698717i
$667$	−18.8166	−	6.84869i	−0.728582	−	0.265182i
$668$	7.31993	+	2.66424i	0.283217	+	0.103082i
$669$	28.6713	+	23.4254i	1.10850	+	0.905680i
$670$	−2.22385	−	0.809414i	−0.0859147	−	0.0312704i
$671$	−4.69149	+	1.70756i	−0.181113	+	0.0659197i
$672$	6.67368	−	0.0873661i	0.257443	−	0.00337022i
$673$	−26.6766			−1.02831			−0.514154	−	0.857698i	$-0.671894\pi$
$673$	−26.6766			−1.02831			−0.514154	+	0.857698i	$0.671894\pi$
$674$	−33.4007	+	12.1569i	−1.28655	+	0.468265i
$675$	6.27781	−	46.1289i	0.241633	−	1.77550i
$676$	−6.31874	−	10.9444i	−0.243028	−	0.420938i
$677$	−7.94265	−	13.7571i	−0.305261	−	0.528727i	0.672059	−	0.740498i	$-0.265410\pi$
$677$	−7.94265	−	13.7571i	−0.305261	−	0.528727i	−0.977319	+	0.211771i	$0.932077\pi$
$678$	−16.7524	+	6.34693i	−0.643372	+	0.243752i
$679$	−41.3814	−	15.0616i	−1.58807	−	0.578011i
$680$	1.53948	−	8.73080i	0.0590362	−	0.334811i
$681$	−3.47828	−	18.3206i	−0.133288	−	0.702047i
$682$	3.55644	−	2.98421i	0.136183	−	0.114271i
$683$	−6.67864			−0.255551			−0.127775	−	0.991803i	$-0.540784\pi$
$683$	−6.67864			−0.255551			−0.127775	+	0.991803i	$0.540784\pi$
$684$	13.0766	+	0.0399971i	0.499998	+	0.00152933i
$685$	10.2417			0.391314
$686$	2.50485	−	2.10182i	0.0956357	−	0.0802479i
$687$	1.36213	+	0.475677i	0.0519686	+	0.0181482i
$688$	0.229247	−	1.30013i	0.00873997	−	0.0495669i
$689$	58.1464	+	21.1636i	2.21520	+	0.806267i
$690$	10.6217	+	8.67830i	0.404362	+	0.330377i
$691$	20.8254	+	36.0707i	0.792236	+	1.37219i	0.924579	+	0.380989i	$0.124417\pi$
$691$	20.8254	+	36.0707i	0.792236	+	1.37219i	−0.132343	+	0.991204i	$0.542250\pi$
$692$	9.91900	+	17.1802i	0.377064	+	0.653094i
$693$	−7.81490	+	3.07838i	−0.296864	+	0.116938i
$694$	2.40585	−	0.875658i	0.0913248	−	0.0332395i
$695$	−57.3163			−2.17413
$696$	7.99554	−	14.2771i	0.303070	−	0.541171i
$697$	−10.6930	+	3.89192i	−0.405025	+	0.147417i
$698$	−14.8618	−	5.40925i	−0.562528	−	0.204743i
$699$	−2.24991	+	13.8150i	−0.0850994	+	0.522531i
$700$	32.4418	+	11.8078i	1.22618	+	0.446294i
$701$	−41.5446	−	15.1210i	−1.56912	−	0.571112i	−0.596314	−	0.802751i	$-0.703369\pi$
$701$	−41.5446	−	15.1210i	−1.56912	−	0.571112i	−0.972802	+	0.231640i	$0.925591\pi$
$702$	−26.2896	+	1.03296i	−0.992238	+	0.0389864i
$703$	29.1694	−	9.66081i	1.10014	−	0.364364i
$704$	0.363289	−	0.629235i	0.0136920	−	0.0237152i
$705$	−4.22196	−	22.2376i	−0.159008	−	0.837518i
$706$	−10.2095	+	8.56680i	−0.384240	+	0.322416i
$707$	−6.83478	+	38.7620i	−0.257048	+	1.45779i
$708$	4.14785	−	3.57402i	0.155886	−	0.134320i
$709$	−10.8255	−	9.08365i	−0.406559	−	0.341144i	0.416463	−	0.909153i	$-0.363269\pi$
$709$	−10.8255	−	9.08365i	−0.406559	−	0.341144i	−0.823022	+	0.568009i	$0.807714\pi$
$710$	−7.83117	+	13.5640i	−0.293898	+	0.509047i
$711$	2.03384	−	3.74588i	0.0762751	−	0.140482i
$712$	10.0930	−	3.67355i	0.378251	−	0.137672i
$713$	2.35174	−	13.3374i	0.0880734	−	0.499489i
$714$	15.8356	−	0.207306i	0.592634	−	0.00775825i
$715$	13.7452			0.514043
$716$	−6.45040	+	2.34775i	−0.241063	+	0.0877396i
$717$	−5.10102	−	26.8678i	−0.190501	−	1.00340i
$718$	8.78404	−	3.19713i	0.327818	−	0.119316i
$719$	−7.43821	−	42.1842i	−0.277399	−	1.57321i	−0.731238	−	0.682122i	$-0.761057\pi$
$719$	−7.43821	−	42.1842i	−0.277399	−	1.57321i	0.453840	−	0.891083i	$-0.350054\pi$
$720$	−8.39479	+	7.42709i	−0.312855	+	0.276791i
$721$	32.0412			1.19328
$722$	−4.38727	+	18.4865i	−0.163277	+	0.687997i
$723$	−27.5609	+	0.360803i	−1.02500	+	0.0134184i
$724$	−2.19333	−	12.4390i	−0.0815144	−	0.462291i
$725$	64.8404	−	54.4076i	2.40811	−	2.02065i
$726$	2.91557	−	17.9023i	0.108207	−	0.664417i
$727$	−6.50328	−	36.8819i	−0.241193	−	1.36787i	−0.829170	−	0.558997i	$-0.811186\pi$
$727$	−6.50328	−	36.8819i	−0.241193	−	1.36787i	0.587976	−	0.808878i	$-0.299925\pi$
$728$	3.38805	−	19.2146i	0.125570	−	0.712141i
$729$	−11.6237	+	24.3698i	−0.430509	+	0.902586i
$730$	16.3545	+	28.3268i	0.605306	+	1.04842i
$731$	0.543969	−	3.08500i	0.0201194	−	0.114103i
$732$	−9.21646	−	7.53016i	−0.340650	−	0.278323i
$733$	11.0709	−	19.1754i	0.408914	−	0.708260i	−0.585854	−	0.810416i	$-0.699241\pi$
$733$	11.0709	−	19.1754i	0.408914	−	0.708260i	0.994768	+	0.102157i	$0.0325743\pi$
$734$	13.4506			0.496470
$735$	−8.16419	+	50.1302i	−0.301141	+	1.84908i
$736$	−0.368053	−	2.08733i	−0.0135666	−	0.0769401i
$737$	−0.352552	−	0.295826i	−0.0129864	−	0.0108969i
$738$	13.6433	+	4.56498i	0.502217	+	0.168039i
$739$	30.2990	+	11.0279i	1.11457	+	0.405669i	0.832666	−	0.553775i	$-0.186813\pi$
$739$	30.2990	+	11.0279i	1.11457	+	0.405669i	0.281900	+	0.959444i	$0.409035\pi$
$740$	−13.1690	+	22.8095i	−0.484104	+	0.838492i
$741$	7.24519	−	37.5346i	0.266159	−	1.37887i
$742$	23.5457	+	40.7823i	0.864390	+	1.49717i
$743$	−7.75224	−	43.9652i	−0.284402	−	1.61292i	−0.707413	−	0.706800i	$-0.750138\pi$
$743$	−7.75224	−	43.9652i	−0.284402	−	1.61292i	0.423011	−	0.906125i	$-0.360973\pi$
$744$	10.4485	+	3.64876i	0.383059	+	0.133770i
$745$	21.4814	−	7.81859i	0.787018	−	0.286451i
$746$	25.9472	−	21.7723i	0.949993	−	0.797139i
$747$	39.2810	−	15.4732i	1.43722	−	0.566137i
$748$	0.862030	−	1.49308i	0.0315189	−	0.0545924i
$749$	−18.1329			−0.662560
$750$	−23.9602	+	9.07774i	−0.874904	+	0.331472i
$751$	25.3133	+	21.2404i	0.923697	+	0.775073i	0.974675	−	0.223626i	$-0.0717895\pi$
$751$	25.3133	+	21.2404i	0.923697	+	0.775073i	−0.0509784	+	0.998700i	$0.516234\pi$
$752$	−1.74886	+	3.02911i	−0.0637744	+	0.110460i
$753$	−18.1981	+	0.238234i	−0.663177	+	0.00868174i
$754$	−36.6443	−	30.7483i	−1.33451	−	1.11979i
$755$	18.2487	−	15.3125i	0.664138	−	0.557278i
$756$	−15.8318	−	12.2583i	−0.575797	−	0.445829i
$757$	1.48556	+	8.42502i	0.0539936	+	0.306213i	0.999830	−	0.0184304i	$-0.00586691\pi$
$757$	1.48556	+	8.42502i	0.0539936	+	0.306213i	−0.945837	+	0.324643i	$0.894756\pi$
$758$	−15.1317	+	12.6970i	−0.549609	+	0.461177i
$759$	1.36381	+	2.29235i	0.0495031	+	0.0832072i
$760$	−7.72709	−	14.3360i	−0.280291	−	0.520020i
$761$	−0.224786	−	0.389341i	−0.00814850	−	0.0141136i	0.861922	−	0.507040i	$-0.169260\pi$
$761$	−0.224786	−	0.389341i	−0.00814850	−	0.0141136i	−0.870071	+	0.492927i	$0.835927\pi$
$762$	−30.5682	−	10.6749i	−1.10737	−	0.386710i
$763$	−43.3102	−	15.7636i	−1.56793	−	0.570681i
$764$	5.84132	+	4.90145i	0.211332	+	0.177328i
$765$	−19.9196	+	17.6234i	−0.720193	+	0.637174i
$766$	3.80492	−	21.5788i	0.137477	−	0.779673i
$767$	−8.00296	−	13.8615i	−0.288970	−	0.500511i
$768$	1.73190	−	0.0226726i	0.0624946	−	0.000818126i
$769$	−22.3671	−	18.7683i	−0.806580	−	0.676801i	0.143209	−	0.989692i	$-0.454258\pi$
$769$	−22.3671	−	18.7683i	−0.806580	−	0.676801i	−0.949789	+	0.312892i	$0.898702\pi$
$770$	8.01329	+	6.72395i	0.288779	+	0.242314i
$771$	3.71598	−	0.0486463i	0.133828	−	0.00175195i
$772$	−10.3686	−	17.9590i	−0.373175	−	0.646359i
$773$	−2.58788	+	14.6766i	−0.0930795	+	0.527880i	0.902239	+	0.431235i	$0.141922\pi$
$773$	−2.58788	+	14.6766i	−0.0930795	+	0.527880i	−0.995319	+	0.0966445i	$0.969189\pi$
$774$	−2.96627	+	2.62434i	−0.106620	+	0.0943300i
$775$	43.8540	+	36.7979i	1.57528	+	1.32182i
$776$	−10.7390	−	3.90867i	−0.385507	−	0.140313i
$777$	−44.4189	−	15.5117i	−1.59352	−	0.556481i
$778$	−1.73520	−	3.00545i	−0.0622099	−	0.107751i
$779$	−10.9765	+	17.7897i	−0.393275	+	0.637381i
$780$	16.7533	+	28.1598i	0.599865	+	1.00828i
$781$	−2.33324	+	1.95782i	−0.0834900	+	0.0700564i
$782$	−0.873334	−	4.95293i	−0.0312304	−	0.177116i
$783$	−45.4352	+	18.5881i	−1.62372	+	0.664284i
$784$	6.01235	−	5.04496i	0.214727	−	0.180177i
$785$	8.00281	+	6.71515i	0.285632	+	0.239674i
$786$	−31.4640	+	0.411899i	−1.12228	+	0.0146919i
$787$	−2.48944	+	4.31184i	−0.0887389	+	0.153700i	−0.906978	−	0.421177i	$-0.861617\pi$
$787$	−2.48944	+	4.31184i	−0.0887389	+	0.153700i	0.818239	+	0.574878i	$0.194950\pi$
$788$	2.46650	+	2.06964i	0.0878653	+	0.0737277i
$789$	−50.2398	+	19.0342i	−1.78858	+	0.677634i
$790$	−5.30844			−0.188866
$791$	−19.9276	+	34.5156i	−0.708543	+	1.22723i
$792$	−2.02806	+	0.798877i	−0.0720640	+	0.0283869i
$793$	−26.6523	+	22.3639i	−0.946449	+	0.794165i
$794$	2.96637	−	1.07967i	0.105272	−	0.0383160i
$795$	−74.6630	−	26.0734i	−2.64802	−	0.924730i
$796$	1.63623	+	9.27954i	0.0579948	+	0.328905i
$797$	−24.2015	−	41.9183i	−0.857262	−	1.48482i	−0.874530	−	0.484971i	$-0.838830\pi$
$797$	−24.2015	−	41.9183i	−0.857262	−	1.48482i	0.0172680	−	0.999851i	$-0.494503\pi$
$798$	22.5852	−	18.3379i	0.799506	−	0.649155i
$799$	−4.14978	+	7.18763i	−0.146809	+	0.254280i
$800$	8.41903	+	3.06428i	0.297658	+	0.108339i
$801$	−30.5571	−	10.2242i	−1.07968	−	0.361256i
$802$	0.595667	+	0.499824i	0.0210337	+	0.0176494i
$803$	1.10455	+	6.26423i	0.0389788	+	0.221060i
$804$	0.176351	−	1.08284i	0.00621941	−	0.0381887i
$805$	30.5151			1.07552
$806$	16.1766	−	28.0187i	0.569796	−	0.986915i
$807$	0.992486	+	0.810894i	0.0349372	+	0.0285448i
$808$	−1.77371	+	10.0592i	−0.0623989	+	0.353882i
$809$	6.27155	+	10.8627i	0.220496	+	0.381910i	0.954959	−	0.296739i	$-0.0958990\pi$
$809$	6.27155	+	10.8627i	0.220496	+	0.381910i	−0.734463	+	0.678649i	$0.762566\pi$
$810$	33.5799	−	1.75990i	1.17988	−	0.0618367i
$811$	4.73574	−	26.8577i	0.166294	−	0.943102i	−0.781426	−	0.623999i	$-0.785507\pi$
$811$	4.73574	−	26.8577i	0.166294	−	0.943102i	0.947720	−	0.319104i	$-0.103382\pi$
$812$	−6.32161	−	35.8516i	−0.221845	−	1.25815i
$813$	0.778410	−	4.77963i	0.0273000	−	0.167629i
$814$	−3.92363	+	3.29232i	−0.137523	+	0.115396i
$815$	7.37256	+	41.8119i	0.258249	+	1.46461i
$816$	4.10954	−	0.0537986i	0.143863	−	0.00188333i
$817$	−2.73035	−	5.06557i	−0.0955227	−	0.177222i
$818$	−8.21035			−0.287068
$819$	−43.8386	+	38.7852i	−1.53185	+	1.35526i
$820$	−3.11132	−	17.6452i	−0.108652	−	0.616196i
$821$	31.4640	−	11.4520i	1.09810	−	0.399676i	0.271485	−	0.962443i	$-0.412485\pi$
$821$	31.4640	−	11.4520i	1.09810	−	0.399676i	0.826616	+	0.562766i	$0.190263\pi$
$822$	0.885594	+	4.66455i	0.0308887	+	0.162695i
$823$	27.7875	−	10.1138i	0.968611	−	0.352546i	0.191209	−	0.981549i	$-0.438759\pi$
$823$	27.7875	−	10.1138i	0.968611	−	0.352546i	0.777402	+	0.629004i	$0.216537\pi$
$824$	8.31507			0.289669
$825$	−11.2741	+	0.147591i	−0.392514	+	0.00513845i
$826$	2.11522	−	11.9960i	0.0735979	−	0.417395i
$827$	35.3088	−	12.8514i	1.22781	−	0.446886i	0.354962	−	0.934881i	$-0.384494\pi$
$827$	35.3088	−	12.8514i	1.22781	−	0.446886i	0.872846	+	0.487995i	$0.162272\pi$
$828$	−3.03406	+	5.58805i	−0.105441	+	0.194198i
$829$	−6.43433	+	11.1446i	−0.223473	+	0.387067i	−0.955860	−	0.293821i	$-0.905073\pi$
$829$	−6.43433	+	11.1446i	−0.223473	+	0.387067i	0.732387	+	0.680889i	$0.238406\pi$
$830$	−40.2782	−	33.7975i	−1.39808	−	1.17313i
$831$	35.9582	−	30.9836i	1.24738	−	1.07481i
$832$	0.879241	−	4.98642i	0.0304822	−	0.172873i
$833$	14.2664	−	11.9709i	0.494301	−	0.414768i
$834$	−4.95612	−	26.1046i	−0.171616	−	0.903928i
$835$	−14.5520	+	25.2049i	−0.503594	+	0.872251i
$836$	−0.458539	−	3.13371i	−0.0158589	−	0.108382i
$837$	−17.7170	−	28.0796i	−0.612388	−	0.970573i
$838$	18.7254	+	6.81549i	0.646858	+	0.235437i
$839$	38.1295	+	13.8780i	1.31638	+	0.479122i	0.902296	−	0.431117i	$-0.141880\pi$
$839$	38.1295	+	13.8780i	1.31638	+	0.479122i	0.414082	+	0.910240i	$0.364103\pi$
$840$	−4.00835	+	24.6122i	−0.138301	+	0.849203i
$841$	−56.6208	−	20.6083i	−1.95244	−	0.710631i
$842$	3.42854	−	1.24789i	0.118155	−	0.0430050i
$843$	−19.8384	+	35.4241i	−0.683271	+	1.22007i
$844$	19.6234			0.675467
$845$	44.3689	−	16.1490i	1.52634	−	0.555541i
$846$	9.76302	−	3.84576i	0.335659	−	0.132220i
$847$	−20.1765	−	34.9467i	−0.693272	−	1.20078i
$848$	6.11039	+	10.5835i	0.209832	+	0.363439i
$849$	16.0323	+	13.0989i	0.550228	+	0.449554i
$850$	19.9771	+	7.27107i	0.685209	+	0.249396i
$851$	−2.59455	+	14.7144i	−0.0889401	+	0.504404i
$852$	−6.85484	−	2.39382i	−0.234843	−	0.0820108i
$853$	17.0213	−	14.2826i	0.582798	−	0.489026i	−0.303066	−	0.952969i	$-0.598010\pi$
$853$	17.0213	−	14.2826i	0.582798	−	0.489026i	0.885865	+	0.463944i	$0.153566\pi$
$854$	−26.4780			−0.906057
$855$	−8.63113	+	48.0890i	−0.295178	+	1.64461i
$856$	−4.70570			−0.160837
$857$	19.9499	−	16.7400i	0.681476	−	0.571826i	−0.234961	−	0.972005i	$-0.575496\pi$
$857$	19.9499	−	16.7400i	0.681476	−	0.571826i	0.916437	+	0.400178i	$0.131052\pi$
$858$	1.18855	+	6.26024i	0.0405763	+	0.213721i
$859$	3.11715	−	17.6783i	0.106356	−	0.603174i	−0.884314	−	0.466892i	$-0.845374\pi$
$859$	3.11715	−	17.6783i	0.106356	−	0.603174i	0.990670	−	0.136282i	$-0.0435153\pi$
$860$	4.63503	+	1.68701i	0.158053	+	0.0575267i
$861$	29.9309	−	11.3398i	1.02004	−	0.386459i
$862$	9.23564	+	15.9966i	0.314567	+	0.544846i
$863$	18.9416	+	32.8079i	0.644781	+	1.11679i	0.984352	+	0.176212i	$0.0563846\pi$
$863$	18.9416	+	32.8079i	0.644781	+	1.11679i	−0.339572	+	0.940580i	$0.610282\pi$
$864$	−4.10855	−	3.18117i	−0.139776	−	0.108226i
$865$	−69.6492	+	25.3502i	−2.36814	+	0.861934i
$866$	−39.0034			−1.32539
$867$	−19.6910	+	0.257778i	−0.668742	+	0.00875459i
$868$	23.1370	−	8.42118i	0.785321	−	0.285833i
$869$	−0.970068	−	0.353076i	−0.0329073	−	0.0119773i
$870$	47.3445	+	38.6821i	1.60513	+	1.31145i
$871$	−3.01377	−	1.09692i	−0.102118	−	0.0371678i
$872$	−11.2395	−	4.09085i	−0.380618	−	0.138534i
$873$	17.9137	+	29.2324i	0.606285	+	0.989366i
$874$	−6.90071	−	6.14298i	−0.233420	−	0.207789i
$875$	−28.5016	+	49.3661i	−0.963528	+	1.66888i
$876$	−11.4872	+	9.89801i	−0.388116	+	0.334423i
$877$	26.8899	−	22.5633i	0.908009	−	0.761910i	−0.0637303	−	0.997967i	$-0.520300\pi$
$877$	26.8899	−	22.5633i	0.908009	−	0.761910i	0.971739	+	0.236057i	$0.0758553\pi$
$878$	−3.29873	+	18.7080i	−0.111327	+	0.631364i
$879$	0.685264	+	3.60938i	0.0231134	+	0.121741i
$880$	2.07955	+	1.74495i	0.0701015	+	0.0588222i
$881$	−5.53555	+	9.58786i	−0.186497	+	0.323023i	−0.944080	−	0.329716i	$-0.893047\pi$
$881$	−5.53555	+	9.58786i	−0.186497	+	0.323023i	0.757583	+	0.652739i	$0.226380\pi$
$882$	−23.5376	+	0.616374i	−0.792553	+	0.0207544i
$883$	27.3004	−	9.93652i	0.918730	−	0.334390i	0.160997	−	0.986955i	$-0.448529\pi$
$883$	27.3004	−	9.93652i	0.918730	−	0.334390i	0.757733	+	0.652564i	$0.226307\pi$
$884$	2.08631	−	11.8320i	0.0701701	−	0.397954i
$885$	10.4594	+	17.5806i	0.351589	+	0.590967i
$886$	−1.73967			−0.0584454
$887$	43.5290	−	15.8433i	1.46156	−	0.531965i	0.515766	−	0.856730i	$-0.327507\pi$
$887$	43.5290	−	15.8433i	1.46156	−	0.531965i	0.945795	+	0.324765i	$0.105285\pi$
$888$	−11.5272	−	4.02549i	−0.386829	−	0.135087i
$889$	−67.6899	+	24.6371i	−2.27025	+	0.826302i
$890$	6.96846	+	39.5201i	0.233583	+	1.32472i
$891$	6.25347	+	1.91187i	0.209499	+	0.0640500i
$892$	21.3760			0.715720
$893$	2.20739	+	15.0856i	0.0738675	+	0.504819i
$894$	5.41845	+	9.10759i	0.181220	+	0.304603i
$895$	−4.45352	−	25.2572i	−0.148865	−	0.844254i
$896$	2.95186	−	2.47691i	0.0986148	−	0.0827477i
$897$	14.3946	+	11.7609i	0.480622	+	0.392684i
$898$	−0.801740	−	4.54689i	−0.0267544	−	0.151732i
$899$	10.4825	−	59.4492i	0.349611	−	1.98274i
$900$	−14.0438	−	22.9173i	−0.468125	−	0.763910i
$901$	14.4990	+	25.1131i	0.483033	+	0.836638i
$902$	0.605054	−	3.43143i	0.0201461	−	0.114254i
$903$	−1.41634	+	8.69666i	−0.0471328	+	0.289407i
$904$	−5.17145	+	8.95721i	−0.172000	+	0.297912i
$905$	47.1917			1.56871
$906$	8.55199	+	6.98726i	0.284121	+	0.232136i
$907$	−0.315179	−	1.78747i	−0.0104654	−	0.0593520i	0.979128	−	0.203245i	$-0.0651489\pi$
$907$	−0.315179	−	1.78747i	−0.0104654	−	0.0593520i	−0.989593	+	0.143893i	$0.954038\pi$
$908$	−8.24750	−	6.92048i	−0.273703	−	0.229664i
$909$	22.9504	−	20.3048i	0.761215	−	0.673467i
$910$	68.5012	+	24.9324i	2.27079	+	0.826501i
$911$	1.06644	−	1.84713i	0.0353327	−	0.0611980i	−0.847818	−	0.530287i	$-0.822084\pi$
$911$	1.06644	−	1.84713i	0.0353327	−	0.0611980i	0.883151	+	0.469089i	$0.155418\pi$
$912$	5.86112	−	4.75891i	0.194081	−	0.157583i
$913$	−5.11253	−	8.85517i	−0.169200	−	0.293063i
$914$	−2.43701	−	13.8210i	−0.0806093	−	0.457158i
$915$	33.6865	−	29.0261i	1.11364	−	0.959574i
$916$	0.782765	−	0.284903i	0.0258633	−	0.00941347i
$917$	−53.6273	+	44.9987i	−1.77093	+	1.48599i
$918$	−9.74896	−	7.54843i	−0.321764	−	0.249135i
$919$	−14.7486	+	25.5453i	−0.486511	+	0.842662i	−0.999880	−	0.0155059i	$-0.995064\pi$
$919$	−14.7486	+	25.5453i	−0.486511	+	0.842662i	0.513368	+	0.858168i	$0.328397\pi$
$920$	7.91905			0.261083
$921$	−17.4108	−	14.2252i	−0.573704	−	0.468735i
$922$	26.4616	+	22.2039i	0.871466	+	0.731247i
$923$	−10.6128	+	18.3820i	−0.349326	+	0.605050i
$924$	−2.36950	+	4.23105i	−0.0779509	+	0.139191i
$925$	−48.3818	−	40.5972i	−1.59078	−	1.33483i
$926$	−0.780697	+	0.655083i	−0.0256553	+	0.0215274i
$927$	−19.5223	−	15.5287i	−0.641198	−	0.510031i
$928$	−1.64054	−	9.30394i	−0.0538532	−	0.305417i
$929$	−19.3371	+	16.2257i	−0.634429	+	0.532349i	−0.902302	−	0.431105i	$-0.858124\pi$
$929$	−19.3371	+	16.2257i	−0.634429	+	0.532349i	0.267873	+	0.963454i	$0.413679\pi$
$930$	−20.2043	+	36.0774i	−0.662526	+	1.18303i
$931$	6.92313	−	33.5033i	0.226897	−	1.09803i
$932$	4.04059	+	6.99850i	0.132354	+	0.229244i
$933$	39.2756	−	33.8420i	1.28582	−	1.10794i
$934$	−5.62998	−	2.04915i	−0.184219	−	0.0670501i
$935$	4.93445	+	4.14050i	0.161374	+	0.135409i
$936$	−11.3767	+	10.0652i	−0.371858	+	0.328992i
$937$	2.76998	−	15.7093i	0.0904913	−	0.513202i	−0.905545	−	0.424251i	$-0.860537\pi$
$937$	2.76998	−	15.7093i	0.0904913	−	0.513202i	0.996036	−	0.0889508i	$-0.0283514\pi$
$938$	−1.22039	−	2.11378i	−0.0398472	−	0.0690173i
$939$	−1.77908	−	2.99037i	−0.0580582	−	0.0975870i
$940$	−10.0109	−	8.40011i	−0.326518	−	0.273981i
$941$	24.1248	+	20.2431i	0.786447	+	0.659908i	0.944863	−	0.327465i	$-0.106194\pi$
$941$	24.1248	+	20.2431i	0.786447	+	0.659908i	−0.158416	+	0.987372i	$0.550639\pi$
$942$	−2.36640	+	4.22552i	−0.0771015	+	0.137675i
$943$	−5.08221	−	8.80264i	−0.165499	−	0.286653i
$944$	0.548925	−	3.11311i	0.0178660	−	0.101323i
$945$	55.3753	−	50.2995i	1.80136	−	1.63624i
$946$	0.734802	+	0.616572i	0.0238905	+	0.0200465i
$947$	52.4803	+	19.1013i	1.70538	+	0.620708i	0.996420	−	0.0845399i	$-0.0269421\pi$
$947$	52.4803	+	19.1013i	1.70538	+	0.620708i	0.708961	+	0.705248i	$0.249164\pi$
$948$	−0.459019	−	2.41772i	−0.0149082	−	0.0785238i
$949$	22.1637	+	38.3886i	0.719463	+	1.24615i
$950$	37.0725	−	12.2783i	1.20279	−	0.398361i
$951$	−7.40558	+	0.0969475i	−0.240143	+	0.00314374i
$952$	7.00433	−	5.87733i	0.227011	−	0.190485i
$953$	0.0187876	+	0.106550i	0.000608591	+	0.00345149i	0.985111	−	0.171922i	$-0.0549978\pi$
$953$	0.0187876	+	0.106550i	0.000608591	+	0.00345149i	−0.984502	+	0.175374i	$0.943887\pi$
$954$	5.41901	−	36.2597i	0.175447	−	1.17395i
$955$	−21.8245	+	18.3129i	−0.706223	+	0.592592i
$956$	−12.0952	−	10.1491i	−0.391188	−	0.328246i
$957$	6.07895	+	10.2178i	0.196504	+	0.330294i
$958$	−3.00310	+	5.20152i	−0.0970257	+	0.168053i
$959$	8.09161	+	6.78966i	0.261292	+	0.219250i
$960$	−1.04021	+	6.38717i	−0.0335728	+	0.206145i
$961$	9.82799			0.317032
$962$	−17.8468	+	30.9115i	−0.575403	+	0.996627i
$963$	11.0482	+	8.78809i	0.356022	+	0.283192i
$964$	−12.1906	+	10.2291i	−0.392632	+	0.329457i
$965$	72.8065	−	26.4994i	2.34372	−	0.853046i
$966$	2.63863	+	13.8980i	0.0848966	+	0.447162i
$967$	−9.24081	−	52.4072i	−0.297164	−	1.68530i	−0.658273	−	0.752779i	$-0.728713\pi$
$967$	−9.24081	−	52.4072i	−0.297164	−	1.68530i	0.361109	−	0.932524i	$-0.382398\pi$
$968$	−5.23604	−	9.06909i	−0.168293	−	0.291492i
$969$	13.9076	−	11.2922i	0.446775	−	0.362757i
$970$	21.3491	−	36.9777i	0.685479	−	1.18728i
$971$	−27.8522	−	10.1374i	−0.893820	−	0.325324i	−0.146047	−	0.989278i	$-0.546655\pi$
$971$	−27.8522	−	10.1374i	−0.893820	−	0.325324i	−0.747774	+	0.663954i	$0.768877\pi$
$972$	3.70519	+	15.1417i	0.118844	+	0.485671i
$973$	−45.2837	−	37.9975i	−1.45173	−	1.21814i
$974$	3.40370	+	19.3033i	0.109062	+	0.618519i
$975$	−73.4766	+	27.8378i	−2.35313	+	0.891524i
$976$	−6.87135			−0.219947
$977$	−14.7726	+	25.5868i	−0.472616	+	0.818596i	−0.999509	−	0.0313363i	$-0.990024\pi$
$977$	−14.7726	+	25.5868i	−0.472616	+	0.818596i	0.526893	+	0.849932i	$0.323357\pi$
$978$	−18.4056	+	6.97327i	−0.588547	+	0.222981i
$979$	−1.35515	+	7.68542i	−0.0433107	+	0.245627i
$980$	14.6620	+	25.3953i	0.468360	+	0.811223i
$981$	18.7486	+	30.5949i	0.598597	+	0.976819i
$982$	0.756619	−	4.29100i	0.0241447	−	0.136931i
$983$	3.50001	+	19.8495i	0.111633	+	0.633101i	0.988362	+	0.152118i	$0.0486093\pi$
$983$	3.50001	+	19.8495i	0.111633	+	0.633101i	−0.876730	+	0.480984i	$0.840280\pi$
$984$	7.76742	−	2.94282i	0.247616	−	0.0938136i
$985$	−9.21537	+	7.73262i	−0.293626	+	0.246382i
$986$	−3.89274	−	22.0768i	−0.123970	−	0.703070i
$987$	11.4067	−	20.3681i	0.363079	−	0.648325i
$988$	−10.4718	−	19.4282i	−0.333152	−	0.618092i
$989$	2.79817			0.0889767
$990$	−1.62365	−	7.98047i	−0.0516031	−	0.253636i
$991$	0.869247	+	4.92975i	0.0276125	+	0.156599i	0.995496	−	0.0947992i	$-0.0302209\pi$
$991$	0.869247	+	4.92975i	0.0276125	+	0.156599i	−0.967884	+	0.251398i	$0.919110\pi$
$992$	6.00433	−	2.18540i	0.190638	−	0.0693865i
$993$	−7.12106	+	6.13590i	−0.225980	+	0.194717i
$994$	−15.1793	+	5.52482i	−0.481458	+	0.175237i
$995$	−35.2053			−1.11608
$996$	11.9101	−	21.2671i	0.377387	−	0.673874i
$997$	8.95410	−	50.7812i	0.283579	−	1.60826i	−0.426738	−	0.904375i	$-0.640337\pi$
$997$	8.95410	−	50.7812i	0.283579	−	1.60826i	0.710317	−	0.703882i	$-0.248552\pi$
$998$	−10.4310	+	3.79657i	−0.330187	+	0.120178i
$999$	19.5462	+	30.9788i	0.618414	+	0.980124i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	342.2.v.a.61.8	✓	54
9.4	even	3		342.2.w.a.175.1	yes	54
19.5	even	9		342.2.w.a.43.1	yes	54
171.157	even	9	inner	342.2.v.a.157.8	yes	54

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
342.2.v.a.61.8	✓	54	1.1	even	1	trivial
342.2.v.a.157.8	yes	54	171.157	even	9	inner
342.2.w.a.43.1	yes	54	19.5	even	9
342.2.w.a.175.1	yes	54	9.4	even	3

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:	\( N \)	\(=\)	\( 342 = 2 \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	342.v (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 + 0.642788i) q^{2} +(1.31214 - 1.13061i) q^{3} +(0.173648 - 0.984808i) q^{4} +(3.51090 + 1.27786i) q^{5} +(-0.278414 + 1.70953i) q^{6} +(1.92669 + 3.33713i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.443426 - 2.96705i) q^{9} +O(q^{10})\)	\(q+(-0.766044 + 0.642788i) q^{2} +(1.31214 - 1.13061i) q^{3} +(0.173648 - 0.984808i) q^{4} +(3.51090 + 1.27786i) q^{5} +(-0.278414 + 1.70953i) q^{6} +(1.92669 + 3.33713i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.443426 - 2.96705i) q^{9} +(-3.51090 + 1.27786i) q^{10} -0.726578 q^{11} +(-0.885586 - 1.48854i) q^{12} +(-4.75799 + 1.73177i) q^{13} +(-3.62100 - 1.31793i) q^{14} +(6.05156 - 2.29273i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-2.22975 - 0.811562i) q^{17} +(1.56750 + 2.55792i) q^{18} +(-4.13786 + 1.37045i) q^{19} +(1.86811 - 3.23566i) q^{20} +(6.30109 + 2.20044i) q^{21} +(0.556591 - 0.467035i) q^{22} +(0.368053 - 2.08733i) q^{23} +(1.63521 + 0.571040i) q^{24} +(6.86326 + 5.75896i) q^{25} +(2.53167 - 4.38499i) q^{26} +(-2.77275 - 4.39453i) q^{27} +(3.62100 - 1.31793i) q^{28} +(1.64054 - 9.30394i) q^{29} +(-3.16202 + 5.64621i) q^{30} +6.38968 q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.953372 + 0.821479i) q^{33} +(2.22975 - 0.811562i) q^{34} +(2.50003 + 14.1784i) q^{35} +(-2.84497 - 0.951912i) q^{36} -7.04939 q^{37} +(2.28888 - 3.70959i) q^{38} +(-4.28519 + 7.65177i) q^{39} +(0.648788 + 3.67946i) q^{40} +(3.67363 - 3.08255i) q^{41} +(-6.24133 + 2.36463i) q^{42} +(0.229247 + 1.30013i) q^{43} +(-0.126169 + 0.715540i) q^{44} +(5.34830 - 9.85037i) q^{45} +(1.05977 + 1.83557i) q^{46} +(0.607373 - 3.44458i) q^{47} +(-1.61970 + 0.613651i) q^{48} +(-3.92428 + 6.79706i) q^{49} -8.95935 q^{50} +(-3.84331 + 1.45610i) q^{51} +(0.879241 + 4.98642i) q^{52} +(-9.36167 - 7.85537i) q^{53} +(4.94880 + 1.58412i) q^{54} +(-2.55094 - 0.928467i) q^{55} +(-1.92669 + 3.33713i) q^{56} +(-3.88001 + 6.47654i) q^{57} +(4.72373 + 8.18175i) q^{58} +(0.548925 + 3.11311i) q^{59} +(-1.20706 - 6.35776i) q^{60} +(6.45696 - 2.35014i) q^{61} +(-4.89478 + 4.10721i) q^{62} +(10.7558 - 4.23682i) q^{63} +(-0.500000 + 0.866025i) q^{64} -18.9178 q^{65} +(0.202289 - 1.24211i) q^{66} +(0.485222 + 0.407150i) q^{67} +(-1.18642 + 2.05495i) q^{68} +(-1.87703 - 3.15500i) q^{69} +(-11.0288 - 9.25427i) q^{70} +(3.21128 - 2.69458i) q^{71} +(2.79125 - 1.09951i) q^{72} +(-1.52021 - 8.62155i) q^{73} +(5.40015 - 4.53126i) q^{74} +(15.5167 - 0.203131i) q^{75} +(0.631094 + 4.31297i) q^{76} +(-1.39989 - 2.42468i) q^{77} +(-1.63581 - 8.61606i) q^{78} +(1.33512 + 0.485944i) q^{79} +(-2.86211 - 2.40160i) q^{80} +(-8.60675 - 2.63133i) q^{81} +(-0.832745 + 4.72273i) q^{82} +(7.03646 + 12.1875i) q^{83} +(3.26118 - 5.82326i) q^{84} +(-6.79136 - 5.69863i) q^{85} +(-1.01132 - 0.848597i) q^{86} +(-8.36655 - 14.0629i) q^{87} +(-0.363289 - 0.629235i) q^{88} +(1.86511 - 10.5776i) q^{89} +(2.23466 + 10.9836i) q^{90} +(-14.9463 - 12.5414i) q^{91} +(-1.99171 - 0.724923i) q^{92} +(8.38416 - 7.22426i) q^{93} +(1.74886 + 3.02911i) q^{94} +(-16.2788 - 0.476120i) q^{95} +(0.846316 - 1.51121i) q^{96} +(-8.75450 + 7.34589i) q^{97} +(-1.36289 - 7.72933i) q^{98} +(-0.322183 + 2.15579i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 54 q + 12 q^{7} + 27 q^{8}+O(q^{10}) \) 54 * q + 12 * q^7 + 27 * q^8	\( 54 q + 12 q^{7} + 27 q^{8} - 3 q^{13} + 3 q^{14} + 27 q^{15} + 9 q^{17} + 6 q^{18} + 15 q^{19} + 3 q^{22} + 6 q^{23} + 12 q^{25} - 3 q^{28} - 18 q^{29} - 21 q^{33} - 9 q^{34} - 18 q^{35} - 6 q^{37} + 6 q^{38} - 6 q^{39} + 6 q^{41} - 3 q^{43} + 6 q^{44} - 27 q^{45} - 18 q^{47} - 3 q^{49} + 6 q^{50} - 42 q^{51} + 6 q^{52} - 24 q^{53} - 27 q^{54} - 36 q^{55} - 12 q^{56} + 12 q^{57} + 18 q^{58} - 21 q^{59} + 12 q^{61} - 15 q^{62} + 12 q^{63} - 27 q^{64} - 48 q^{65} - 42 q^{66} + 60 q^{67} + 3 q^{68} - 21 q^{69} - 36 q^{70} - 60 q^{71} - 45 q^{73} - 6 q^{74} + 45 q^{78} - 9 q^{79} - 36 q^{81} + 3 q^{82} + 12 q^{83} + 42 q^{84} + 36 q^{85} + 3 q^{86} - 24 q^{87} + 9 q^{89} - 36 q^{90} - 15 q^{91} - 12 q^{92} - 93 q^{93} + 6 q^{94} - 3 q^{95} + 12 q^{97} + 12 q^{98} - 33 q^{99}+O(q^{100}) \) 54 * q + 12 * q^7 + 27 * q^8 - 3 * q^13 + 3 * q^14 + 27 * q^15 + 9 * q^17 + 6 * q^18 + 15 * q^19 + 3 * q^22 + 6 * q^23 + 12 * q^25 - 3 * q^28 - 18 * q^29 - 21 * q^33 - 9 * q^34 - 18 * q^35 - 6 * q^37 + 6 * q^38 - 6 * q^39 + 6 * q^41 - 3 * q^43 + 6 * q^44 - 27 * q^45 - 18 * q^47 - 3 * q^49 + 6 * q^50 - 42 * q^51 + 6 * q^52 - 24 * q^53 - 27 * q^54 - 36 * q^55 - 12 * q^56 + 12 * q^57 + 18 * q^58 - 21 * q^59 + 12 * q^61 - 15 * q^62 + 12 * q^63 - 27 * q^64 - 48 * q^65 - 42 * q^66 + 60 * q^67 + 3 * q^68 - 21 * q^69 - 36 * q^70 - 60 * q^71 - 45 * q^73 - 6 * q^74 + 45 * q^78 - 9 * q^79 - 36 * q^81 + 3 * q^82 + 12 * q^83 + 42 * q^84 + 36 * q^85 + 3 * q^86 - 24 * q^87 + 9 * q^89 - 36 * q^90 - 15 * q^91 - 12 * q^92 - 93 * q^93 + 6 * q^94 - 3 * q^95 + 12 * q^97 + 12 * q^98 - 33 * q^99

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