LMFDB - Embedded newform 273.2.bv.b.2.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [273,2,Mod(2,273)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(273, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 4, 1]))

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

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

chi := DirichletCharacter("273.2");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 273 = 3 \cdot 7 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	273.bv (of order $12$, degree $4$, 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:	$2.17991597518$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$32$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			2.5
Character	$\chi$	$=$	273.2
Dual form			273.2.bv.b.137.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.48334 - 1.48334i) q^{2} +(1.73149 - 0.0439971i) q^{3} +2.40062i q^{4} +(-0.600039 + 0.160780i) q^{5} +(-2.63366 - 2.50313i) q^{6} +(2.54988 + 0.705761i) q^{7} +(0.594253 - 0.594253i) q^{8} +(2.99613 - 0.152361i) q^{9} +O(q^{10})$	\(q+(-1.48334 - 1.48334i) q^{2} +(1.73149 - 0.0439971i) q^{3} +2.40062i q^{4} +(-0.600039 + 0.160780i) q^{5} +(-2.63366 - 2.50313i) q^{6} +(2.54988 + 0.705761i) q^{7} +(0.594253 - 0.594253i) q^{8} +(2.99613 - 0.152361i) q^{9} +(1.12856 + 0.651572i) q^{10} +(-0.451355 - 1.68448i) q^{11} +(0.105620 + 4.15665i) q^{12} +(2.12206 - 2.91494i) q^{13} +(-2.73547 - 4.82924i) q^{14} +(-1.03189 + 0.304789i) q^{15} +3.03827 q^{16} +0.978018 q^{17} +(-4.67029 - 4.21828i) q^{18} +(-0.108171 - 0.0289842i) q^{19} +(-0.385971 - 1.44046i) q^{20} +(4.44615 + 1.10983i) q^{21} +(-1.82915 + 3.16818i) q^{22} +4.69891 q^{23} +(1.00280 - 1.05509i) q^{24} +(-3.99593 + 2.30705i) q^{25} +(-7.47160 + 1.17610i) q^{26} +(5.18107 - 0.395633i) q^{27} +(-1.69426 + 6.12129i) q^{28} +(2.88315 - 1.66459i) q^{29} +(1.98275 + 1.07854i) q^{30} +(-9.09635 - 2.43736i) q^{31} +(-5.69531 - 5.69531i) q^{32} +(-0.855629 - 2.89680i) q^{33} +(-1.45074 - 1.45074i) q^{34} +(-1.64350 - 0.0135139i) q^{35} +(0.365761 + 7.19256i) q^{36} +(-3.10423 - 3.10423i) q^{37} +(0.117461 + 0.203448i) q^{38} +(3.54609 - 5.14055i) q^{39} +(-0.261031 + 0.452119i) q^{40} +(-0.688469 + 2.56940i) q^{41} +(-4.94891 - 8.24143i) q^{42} +(-4.24157 - 2.44887i) q^{43} +(4.04379 - 1.08353i) q^{44} +(-1.77330 + 0.573140i) q^{45} +(-6.97010 - 6.97010i) q^{46} +(2.11865 + 7.90689i) q^{47} +(5.26074 - 0.133675i) q^{48} +(6.00380 + 3.59921i) q^{49} +(9.34949 + 2.50519i) q^{50} +(1.69343 - 0.0430299i) q^{51} +(6.99764 + 5.09426i) q^{52} +(-8.57627 + 4.95151i) q^{53} +(-8.27217 - 7.09845i) q^{54} +(0.541661 + 0.938184i) q^{55} +(1.93467 - 1.09587i) q^{56} +(-0.188572 - 0.0454267i) q^{57} +(-6.74586 - 1.80755i) q^{58} +(8.15793 - 8.15793i) q^{59} +(-0.731682 - 2.47717i) q^{60} +(6.01455 + 10.4175i) q^{61} +(9.87757 + 17.1085i) q^{62} +(7.74731 + 1.72605i) q^{63} +10.8197i q^{64} +(-0.804657 + 2.09026i) q^{65} +(-3.02776 + 5.56615i) q^{66} +(2.00572 + 7.48545i) q^{67} +2.34785i q^{68} +(8.13612 - 0.206738i) q^{69} +(2.41783 + 2.45792i) q^{70} +(-5.29791 + 1.41957i) q^{71} +(1.68992 - 1.87100i) q^{72} +(-0.255467 + 0.953416i) q^{73} +9.20929i q^{74} +(-6.81742 + 4.17045i) q^{75} +(0.0695800 - 0.259676i) q^{76} +(0.0379374 - 4.61377i) q^{77} +(-12.8853 + 2.36514i) q^{78} +(-3.09322 + 5.35762i) q^{79} +(-1.82308 + 0.488493i) q^{80} +(8.95357 - 0.912988i) q^{81} +(4.83254 - 2.79007i) q^{82} +(1.17920 + 1.17920i) q^{83} +(-2.66428 + 10.6735i) q^{84} +(-0.586849 + 0.157246i) q^{85} +(2.65919 + 9.92422i) q^{86} +(4.91891 - 3.00907i) q^{87} +(-1.26922 - 0.732787i) q^{88} +(-3.85963 + 3.85963i) q^{89} +(3.48057 + 1.78025i) q^{90} +(7.46826 - 5.93508i) q^{91} +11.2803i q^{92} +(-15.8575 - 3.82005i) q^{93} +(8.58596 - 14.8713i) q^{94} +0.0695666 q^{95} +(-10.1120 - 9.61080i) q^{96} +(0.351229 + 1.31080i) q^{97} +(-3.56683 - 14.2446i) q^{98} +(-1.60897 - 4.97815i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	$ 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) $ 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/273\mathbb{Z}\right)^\times$.

$n$	$92$	$106$	$157$
$\chi(n)$	$-1$	$e\left(\frac{1}{12}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−1.48334	−	1.48334i	−1.04888	−	1.04888i	−0.998742	−	0.0501402i	$-0.984033\pi$
$2$	−1.48334	−	1.48334i	−1.04888	−	1.04888i	−0.0501402	−	0.998742i	$-0.515967\pi$
$3$	1.73149	−	0.0439971i	0.999677	−	0.0254017i
$3$	1.73149	−	0.0439971i	0.999677	−	0.0254017i
$4$			2.40062i			1.20031i
$5$	−0.600039	+	0.160780i	−0.268346	+	0.0719030i	−0.390483	−	0.920610i	$-0.627692\pi$
$5$	−0.600039	+	0.160780i	−0.268346	+	0.0719030i	0.122137	+	0.992513i	$0.461025\pi$
$6$	−2.63366	−	2.50313i	−1.07519	−	1.02190i
$7$	2.54988	+	0.705761i	0.963765	+	0.266752i
$7$	2.54988	+	0.705761i	0.963765	+	0.266752i
$8$	0.594253	−	0.594253i	0.210100	−	0.210100i
$9$	2.99613	−	0.152361i	0.998710	−	0.0507871i
$10$	1.12856	+	0.651572i	0.356881	+	0.206045i
$11$	−0.451355	−	1.68448i	−0.136089	−	0.507889i	−0.999991	−	0.00423036i	$-0.998653\pi$
$11$	−0.451355	−	1.68448i	−0.136089	−	0.507889i	0.863902	−	0.503659i	$-0.168013\pi$
$12$	0.105620	+	4.15665i	0.0304899	+	1.19992i
$13$	2.12206	−	2.91494i	0.588554	−	0.808458i
$13$	2.12206	−	2.91494i	0.588554	−	0.808458i
$14$	−2.73547	−	4.82924i	−0.731084	−	1.29067i
$15$	−1.03189	+	0.304789i	−0.266433	+	0.0786963i
$16$	3.03827			0.759568
$17$	0.978018			0.237204			0.118602	−	0.992942i	$-0.462159\pi$
$17$	0.978018			0.237204			0.118602	+	0.992942i	$0.462159\pi$
$18$	−4.67029	−	4.21828i	−1.10080	−	0.994259i
$19$	−0.108171	−	0.0289842i	−0.0248160	−	0.00664943i	0.246390	−	0.969171i	$-0.420756\pi$
$19$	−0.108171	−	0.0289842i	−0.0248160	−	0.00664943i	−0.271206	+	0.962521i	$0.587422\pi$
$20$	−0.385971	−	1.44046i	−0.0863058	−	0.322098i
$21$	4.44615	+	1.10983i	0.970230	+	0.242185i
$22$	−1.82915	+	3.16818i	−0.389975	+	0.675457i
$23$	4.69891			0.979790			0.489895	−	0.871781i	$-0.337035\pi$
$23$	4.69891			0.979790			0.489895	+	0.871781i	$0.337035\pi$
$24$	1.00280	−	1.05509i	0.204695	−	0.215369i
$25$	−3.99593	+	2.30705i	−0.799186	+	0.461410i
$26$	−7.47160	+	1.17610i	−1.46530	+	0.230653i
$27$	5.18107	−	0.395633i	0.997097	−	0.0761396i
$28$	−1.69426	+	6.12129i	−0.320185	+	1.15682i
$29$	2.88315	−	1.66459i	0.535387	−	0.309106i	−0.207820	−	0.978167i	$-0.566637\pi$
$29$	2.88315	−	1.66459i	0.535387	−	0.309106i	0.743207	+	0.669061i	$0.233304\pi$
$30$	1.98275	+	1.07854i	0.362000	+	0.196913i
$31$	−9.09635	−	2.43736i	−1.63375	−	0.437763i	−0.678752	−	0.734367i	$-0.737479\pi$
$31$	−9.09635	−	2.43736i	−1.63375	−	0.437763i	−0.955000	+	0.296605i	$0.904146\pi$
$32$	−5.69531	−	5.69531i	−1.00680	−	1.00680i
$33$	−0.855629	−	2.89680i	−0.148946	−	0.504269i
$34$	−1.45074	−	1.45074i	−0.248799	−	0.248799i
$35$	−1.64350	−	0.0135139i	−0.277802	−	0.00228427i
$36$	0.365761	+	7.19256i	0.0609602	+	1.19876i
$37$	−3.10423	−	3.10423i	−0.510333	−	0.510333i	0.404296	−	0.914628i	$-0.367517\pi$
$37$	−3.10423	−	3.10423i	−0.510333	−	0.510333i	−0.914628	+	0.404296i	$0.867517\pi$
$38$	0.117461	+	0.203448i	0.0190546	+	0.0330036i
$39$	3.54609	−	5.14055i	0.567828	−	0.823147i
$40$	−0.261031	+	0.452119i	−0.0412726	+	0.0714862i
$41$	−0.688469	+	2.56940i	−0.107521	+	0.401273i	−0.998619	−	0.0525375i	$-0.983269\pi$
$41$	−0.688469	+	2.56940i	−0.107521	+	0.401273i	0.891098	+	0.453811i	$0.149936\pi$
$42$	−4.94891	−	8.24143i	−0.763634	−	1.27168i
$43$	−4.24157	−	2.44887i	−0.646833	−	0.373449i	0.140409	−	0.990094i	$-0.455158\pi$
$43$	−4.24157	−	2.44887i	−0.646833	−	0.373449i	−0.787242	+	0.616644i	$0.788492\pi$
$44$	4.04379	−	1.08353i	0.609624	−	0.163348i
$45$	−1.77330	+	0.573140i	−0.264348	+	0.0854387i
$46$	−6.97010	−	6.97010i	−1.02768	−	1.02768i
$47$	2.11865	+	7.90689i	0.309036	+	1.15334i	0.929415	+	0.369036i	$0.120312\pi$
$47$	2.11865	+	7.90689i	0.309036	+	1.15334i	−0.620379	+	0.784302i	$0.713021\pi$
$48$	5.26074	−	0.133675i	0.759323	−	0.0192943i
$49$	6.00380	+	3.59921i	0.857686	+	0.514173i
$50$	9.34949	+	2.50519i	1.32222	+	0.354287i
$51$	1.69343	−	0.0430299i	0.237128	−	0.00602540i
$52$	6.99764	+	5.09426i	0.970399	+	0.706447i
$53$	−8.57627	+	4.95151i	−1.17804	+	0.680143i	−0.955561	−	0.294794i	$-0.904749\pi$
$53$	−8.57627	+	4.95151i	−1.17804	+	0.680143i	−0.222481	+	0.974937i	$0.571416\pi$
$54$	−8.27217	−	7.09845i	−1.12570	−	0.965976i
$55$	0.541661	+	0.938184i	0.0730376	+	0.126505i
$56$	1.93467	−	1.09587i	0.258532	−	0.146442i
$57$	−0.188572	−	0.0454267i	−0.0249769	−	0.00601692i
$58$	−6.74586	−	1.80755i	−0.885774	−	0.237342i
$59$	8.15793	−	8.15793i	1.06207	−	1.06207i	0.0641310	−	0.997941i	$-0.479572\pi$
$59$	8.15793	−	8.15793i	1.06207	−	1.06207i	0.997941	−	0.0641310i	$-0.0204275\pi$
$60$	−0.731682	−	2.47717i	−0.0944598	−	0.319801i
$61$	6.01455	+	10.4175i	0.770085	+	1.33383i	0.937516	+	0.347942i	$0.113119\pi$
$61$	6.01455	+	10.4175i	0.770085	+	1.33383i	−0.167431	+	0.985884i	$0.553547\pi$
$62$	9.87757	+	17.1085i	1.25445	+	2.17278i
$63$	7.74731	+	1.72605i	0.976069	+	0.217461i
$64$			10.8197i			1.35246i
$65$	−0.804657	+	2.09026i	−0.0998054	+	0.259265i
$66$	−3.02776	+	5.56615i	−0.372692	+	0.685145i
$67$	2.00572	+	7.48545i	0.245038	+	0.914494i	0.973364	+	0.229264i	$0.0736318\pi$
$67$	2.00572	+	7.48545i	0.245038	+	0.914494i	−0.728326	+	0.685230i	$0.759702\pi$
$68$			2.34785i			0.284718i
$69$	8.13612	−	0.206738i	0.979474	−	0.0248884i
$70$	2.41783	+	2.45792i	0.288986	+	0.293778i
$71$	−5.29791	+	1.41957i	−0.628746	+	0.168472i	−0.559101	−	0.829100i	$-0.688853\pi$
$71$	−5.29791	+	1.41957i	−0.628746	+	0.168472i	−0.0696454	+	0.997572i	$0.522187\pi$
$72$	1.68992	−	1.87100i	0.199158	−	0.220499i
$73$	−0.255467	+	0.953416i	−0.0299002	+	0.111589i	−0.979263	−	0.202592i	$-0.935063\pi$
$73$	−0.255467	+	0.953416i	−0.0299002	+	0.111589i	0.949363	+	0.314181i	$0.101730\pi$
$74$			9.20929i			1.07056i
$75$	−6.81742	+	4.17045i	−0.787208	+	0.481562i
$76$	0.0695800	−	0.259676i	0.00798137	−	0.0297869i
$77$	0.0379374	−	4.61377i	0.00432337	−	0.525788i
$78$	−12.8853	+	2.36514i	−1.45897	+	0.267800i
$79$	−3.09322	+	5.35762i	−0.348015	+	0.602780i	−0.985897	−	0.167355i	$-0.946477\pi$
$79$	−3.09322	+	5.35762i	−0.348015	+	0.602780i	0.637882	+	0.770134i	$0.279811\pi$
$80$	−1.82308	+	0.488493i	−0.203827	+	0.0546152i
$81$	8.95357	−	0.912988i	0.994841	−	0.101443i
$82$	4.83254	−	2.79007i	0.533665	−	0.308112i
$83$	1.17920	+	1.17920i	0.129434	+	0.129434i	0.768856	−	0.639422i	$-0.220826\pi$
$83$	1.17920	+	1.17920i	0.129434	+	0.129434i	−0.639422	+	0.768856i	$0.720826\pi$
$84$	−2.66428	+	10.6735i	−0.290697	+	1.16458i
$85$	−0.586849	+	0.157246i	−0.0636527	+	0.0170557i
$86$	2.65919	+	9.92422i	0.286748	+	1.07016i
$87$	4.91891	−	3.00907i	0.527363	−	0.322606i
$88$	−1.26922	−	0.732787i	−0.135300	−	0.0781154i
$89$	−3.85963	+	3.85963i	−0.409120	+	0.409120i	−0.881432	−	0.472311i	$-0.843420\pi$
$89$	−3.85963	+	3.85963i	−0.409120	+	0.409120i	0.472311	+	0.881432i	$0.343420\pi$
$90$	3.48057	+	1.78025i	0.366885	+	0.187654i
$91$	7.46826	−	5.93508i	0.782886	−	0.622165i
$92$			11.2803i			1.17605i
$93$	−15.8575	−	3.82005i	−1.64435	−	0.396121i
$94$	8.58596	−	14.8713i	0.885574	−	1.53386i
$95$	0.0695666			0.00713738
$96$	−10.1120	−	9.61080i	−1.03205	−	0.980898i
$97$	0.351229	+	1.31080i	0.0356619	+	0.133092i	0.981462	−	0.191658i	$-0.0613865\pi$
$97$	0.351229	+	1.31080i	0.0356619	+	0.133092i	−0.945800	+	0.324750i	$0.894720\pi$
$98$	−3.56683	−	14.2446i	−0.360304	−	1.43892i
$99$	−1.60897	−	4.97815i	−0.161707	−	0.500323i
$100$	−5.53835	−	9.59270i	−0.553835	−	0.959270i
$101$	1.17816	−	2.04064i	0.117232	−	0.203051i	−0.801438	−	0.598078i	$-0.795931\pi$
$101$	1.17816	−	2.04064i	0.117232	−	0.203051i	0.918670	+	0.395027i	$0.129265\pi$
$102$	−2.57577	−	2.44811i	−0.255039	−	0.242399i
$103$	−14.8685	−	8.58433i	−1.46504	−	0.845839i	−0.465800	−	0.884890i	$-0.654233\pi$
$103$	−14.8685	−	8.58433i	−1.46504	−	0.845839i	−0.999237	+	0.0390507i	$0.987567\pi$
$104$	−0.471167	−	2.99325i	−0.0462017	−	0.293512i
$105$	−2.84630	+	0.0489100i	−0.277771	+	0.00477313i
$106$	20.0664	+	5.37677i	1.94902	+	0.522238i
$107$			6.63526i			0.641455i	0.947172	+	0.320727i	$0.103927\pi$
$107$			6.63526i			0.641455i	−0.947172	+	0.320727i	$0.896073\pi$
$108$	0.949764	+	12.4378i	0.0913911	+	1.19682i
$109$	−1.00479	−	0.269232i	−0.0962413	−	0.0257878i	0.210377	−	0.977620i	$-0.432531\pi$
$109$	−1.00479	−	0.269232i	−0.0962413	−	0.0257878i	−0.306618	+	0.951833i	$0.599198\pi$
$110$	0.588181	−	2.19512i	0.0560808	−	0.209296i
$111$	−5.51153	−	5.23838i	−0.523132	−	0.497205i
$112$	7.74724	+	2.14429i	0.732045	+	0.202617i
$113$	−16.0124	−	9.24479i	−1.50632	−	0.869677i	−0.999973	−	0.00734966i	$-0.997661\pi$
$113$	−16.0124	−	9.24479i	−1.50632	−	0.869677i	−0.506351	−	0.862327i	$-0.669006\pi$
$114$	0.212333	+	0.347100i	0.0198868	+	0.0325089i
$115$	−2.81953	+	0.755490i	−0.262922	+	0.0704499i
$116$	3.99604	+	6.92134i	0.371023	+	0.642630i
$117$	5.91385	−	9.05684i	0.546735	−	0.837305i
$118$	−24.2020			−2.22798
$119$	2.49383	+	0.690247i	0.228609	+	0.0632748i
$120$	−0.432081	+	0.794325i	−0.0394434	+	0.0725116i
$121$	6.89253	−	3.97940i	0.626594	−	0.361764i
$122$	6.53110	−	24.3744i	0.591298	−	2.20675i
$123$	−1.07903	+	4.47919i	−0.0972931	+	0.403875i
$124$	5.85117	−	21.8368i	0.525450	−	1.96101i
$125$	4.22308	−	4.22308i	0.377724	−	0.377724i
$126$	−8.93160	−	14.0522i	−0.795690	−	1.25187i
$127$	−8.27376	+	4.77686i	−0.734178	+	0.423878i	−0.819949	−	0.572437i	$-0.805998\pi$
$127$	−8.27376	+	4.77686i	−0.734178	+	0.423878i	0.0857710	+	0.996315i	$0.472665\pi$
$128$	4.65865	−	4.65865i	0.411770	−	0.411770i
$129$	−7.45199	−	4.05358i	−0.656111	−	0.356898i
$130$	4.29416	−	1.90699i	0.376623	−	0.167254i
$131$	12.3026	+	7.10293i	1.07489	+	0.620586i	0.929512	−	0.368791i	$-0.120228\pi$
$131$	12.3026	+	7.10293i	1.07489	+	0.620586i	0.145374	+	0.989377i	$0.453561\pi$
$132$	6.95411	−	2.05404i	0.605278	−	0.178781i
$133$	−0.255366	−	0.150249i	−0.0221431	−	0.0130282i
$134$	8.12833	−	14.0787i	0.702181	−	1.21621i
$135$	−3.04523	+	1.07041i	−0.262092	+	0.0921260i
$136$	0.581189	−	0.581189i	0.0498366	−	0.0498366i
$137$	−11.9633	+	11.9633i	−1.02210	+	1.02210i	−0.0223465	+	0.999750i	$0.507114\pi$
$137$	−11.9633	+	11.9633i	−1.02210	+	1.02210i	−0.999750	+	0.0223465i	$0.992886\pi$
$138$	−12.3753	−	11.7620i	−1.05346	−	1.00125i
$139$	1.16725	−	2.02173i	0.0990047	−	0.171481i	−0.812268	−	0.583284i	$-0.801767\pi$
$139$	1.16725	−	2.02173i	0.0990047	−	0.171481i	0.911273	+	0.411803i	$0.135101\pi$
$140$	0.0324418	−	3.94542i	0.00274183	−	0.333449i
$141$	4.01630	+	13.5975i	0.338233	+	1.14512i
$142$	9.96433	+	5.75291i	0.836188	+	0.482773i
$143$	−5.86795	−	2.25890i	−0.490703	−	0.188899i
$144$	9.10305	−	0.462915i	0.758588	−	0.0385762i
$145$	−1.46237	+	1.46237i	−0.121443	+	0.121443i
$146$	1.79319	−	1.03530i	0.148405	−	0.0856819i
$147$	10.5539	+	5.96786i	0.870470	+	0.492221i
$148$	7.45208	−	7.45208i	0.612557	−	0.612557i
$149$	3.28209	−	12.2489i	0.268879	−	1.00347i	−0.690954	−	0.722898i	$-0.742809\pi$
$149$	3.28209	−	12.2489i	0.268879	−	1.00347i	0.959833	−	0.280571i	$-0.0905239\pi$
$150$	16.2988	+	3.92636i	1.33079	+	0.320586i
$151$	−0.0178315	+	0.0665480i	−0.00145111	+	0.00541560i	−0.966648	−	0.256110i	$-0.917559\pi$
$151$	−0.0178315	+	0.0665480i	−0.00145111	+	0.00541560i	0.965196	+	0.261526i	$0.0842257\pi$
$152$	−0.0815045	+	0.0470567i	−0.00661089	+	0.00381680i
$153$	2.93027	−	0.149012i	0.236898	−	0.0120469i
$154$	−6.90008	+	6.78754i	−0.556025	+	0.546955i
$155$	5.85004			0.469887
$156$	12.3405	+	8.51279i	0.988031	+	0.681569i
$157$	−5.65949	−	9.80253i	−0.451677	−	0.782327i	0.546814	−	0.837254i	$-0.315841\pi$
$157$	−5.65949	−	9.80253i	−0.451677	−	0.782327i	−0.998490	+	0.0549272i	$0.982507\pi$
$158$	12.5355	−	3.35888i	0.997272	−	0.267218i
$159$	−14.6319	+	8.95084i	−1.16039	+	0.709848i
$160$	4.33310	+	2.50172i	0.342562	+	0.197778i
$161$	11.9817	+	3.31630i	0.944287	+	0.261361i
$162$	−14.6355	−	11.9270i	−1.14987	−	0.937070i
$163$	−4.37176	+	16.3156i	−0.342423	+	1.27794i	0.553172	+	0.833067i	$0.313417\pi$
$163$	−4.37176	+	16.3156i	−0.342423	+	1.27794i	−0.895594	+	0.444871i	$0.853249\pi$
$164$	−6.16815	−	1.65275i	−0.481652	−	0.129058i
$165$	0.979159	+	1.60063i	0.0762274	+	0.124609i
$166$		−	3.49833i		−	0.271523i
$167$	−16.3600	−	4.38364i	−1.26597	−	0.339217i	−0.437487	−	0.899225i	$-0.644131\pi$
$167$	−16.3600	−	4.38364i	−1.26597	−	0.339217i	−0.828487	+	0.560008i	$0.810798\pi$
$168$	3.30166	−	1.98262i	0.254728	−	0.152962i
$169$	−3.99370	−	12.3714i	−0.307208	−	0.951642i
$170$	1.10375	+	0.637249i	0.0846536	+	0.0488748i
$171$	−0.328509	−	0.0703594i	−0.0251217	−	0.00538052i
$172$	5.87880	−	10.1824i	0.448254	−	0.776399i
$173$	−12.8462	−	22.2503i	−0.976680	−	1.69166i	−0.674276	−	0.738480i	$-0.735544\pi$
$173$	−12.8462	−	22.2503i	−0.976680	−	1.69166i	−0.302404	−	0.953180i	$-0.597789\pi$
$174$	−11.7599	−	2.83295i	−0.891517	−	0.214766i
$175$	−11.8174	+	3.06254i	−0.893310	+	0.231506i
$176$	−1.37134	−	5.11791i	−0.103369	−	0.385777i
$177$	13.7665	−	14.4843i	1.03475	−	1.08871i
$178$	11.4503			0.858238
$179$	−11.6855	+	20.2398i	−0.873414	+	1.51280i	−0.0149704	+	0.999888i	$0.504765\pi$
$179$	−11.6855	+	20.2398i	−0.873414	+	1.51280i	−0.858443	+	0.512909i	$0.828568\pi$
$180$	−1.37589	−	4.25701i	−0.102553	−	0.317299i
$181$		−	3.85083i		−	0.286230i	−0.989706	−	0.143115i	$-0.954288\pi$
$181$		−	3.85083i		−	0.286230i	0.989706	−	0.143115i	$-0.0457119\pi$
$182$	−19.8818	−	2.27423i	−1.47373	−	0.168578i
$183$	10.8725	+	17.7732i	0.803718	+	1.31383i
$184$	2.79234	−	2.79234i	0.205854	−	0.205854i
$185$	2.36176	+	1.36356i	0.173640	+	0.100251i
$186$	17.8557	+	29.1886i	1.30924	+	2.14021i
$187$	−0.441433	−	1.64745i	−0.0322808	−	0.120473i
$188$	−18.9814	+	5.08606i	−1.38436	+	0.370939i
$189$	13.4903	+	2.64778i	0.981278	+	0.192597i
$190$	−0.103191	−	0.103191i	−0.00748628	−	0.00748628i
$191$	−17.2886	+	9.98156i	−1.25096	+	0.722240i	−0.971300	−	0.237860i	$-0.923554\pi$
$191$	−17.2886	+	9.98156i	−1.25096	+	0.722240i	−0.279657	+	0.960100i	$0.590221\pi$
$192$	0.476033	+	18.7341i	0.0343547	+	1.35202i
$193$	16.9406	−	4.53921i	1.21941	−	0.326740i	0.408962	−	0.912551i	$-0.365891\pi$
$193$	16.9406	−	4.53921i	1.21941	−	0.326740i	0.810447	+	0.585812i	$0.199224\pi$
$194$	1.42338	−	2.46537i	0.102193	−	0.177003i
$195$	−1.30129	+	3.65467i	−0.0931875	+	0.261717i
$196$	−8.64033	+	14.4128i	−0.617167	+	1.02949i
$197$	0.0827001	−	0.308641i	0.00589214	−	0.0219897i	−0.962917	−	0.269797i	$-0.913043\pi$
$197$	0.0827001	−	0.308641i	0.00589214	−	0.0219897i	0.968809	+	0.247807i	$0.0797100\pi$
$198$	−4.99765	+	9.77095i	−0.355168	+	0.694391i
$199$		−	14.4432i		−	1.02385i	−0.859030	−	0.511925i	$-0.828932\pi$
$199$		−	14.4432i		−	1.02385i	0.859030	−	0.511925i	$-0.171068\pi$
$200$	−1.00362	+	3.74556i	−0.0709667	+	0.264851i
$201$	3.80223	+	12.8728i	0.268189	+	0.907974i
$202$	−4.77459	+	1.27935i	−0.335939	+	0.0900146i
$203$	8.52649	−	2.20969i	0.598442	−	0.155090i
$204$	0.103298	+	4.06528i	0.00723233	+	0.284626i
$205$		−	1.65243i		−	0.115411i
$206$	9.32158	+	34.7886i	0.649465	+	2.42384i
$207$	14.0785	−	0.715931i	0.978526	−	0.0497607i
$208$	6.44740	−	8.85637i	0.447047	−	0.614079i
$209$			0.195293i			0.0135087i
$210$	4.29460	+	4.14950i	0.296355	+	0.286343i
$211$	9.96551	+	17.2608i	0.686054	+	1.18828i	0.973104	+	0.230365i	$0.0739920\pi$
$211$	9.96551	+	17.2608i	0.686054	+	1.18828i	−0.287050	+	0.957916i	$0.592675\pi$
$212$	−11.8867	−	20.5884i	−0.816381	−	1.41401i
$213$	−9.11083	+	2.69107i	−0.624264	+	0.184389i
$214$	9.84237	−	9.84237i	0.672810	−	0.672810i
$215$	2.93884	+	0.787459i	0.200427	+	0.0537043i
$216$	2.84376	−	3.31397i	0.193493	−	0.225487i
$217$	−21.4744	−	12.6348i	−1.45778	−	0.857708i
$218$	1.09108	+	1.88981i	0.0738975	+	0.127994i
$219$	−0.400392	+	1.66207i	−0.0270560	+	0.112312i
$220$	−2.25222	+	1.30032i	−0.151845	+	0.0876676i
$221$	2.07541	−	2.85086i	0.139607	−	0.191770i
$222$	0.405182	+	15.9458i	0.0271940	+	1.07021i
$223$	2.18207	+	0.584683i	0.146122	+	0.0391533i	0.331139	−	0.943582i	$-0.392567\pi$
$223$	2.18207	+	0.584683i	0.146122	+	0.0391533i	−0.185017	+	0.982735i	$0.559234\pi$
$224$	−10.5028	−	18.5419i	−0.701751	−	1.23888i
$225$	−11.6208	+	7.52105i	−0.774721	+	0.501403i
$226$	10.0388	+	37.4652i	0.667768	+	2.49215i
$227$	4.09367	+	4.09367i	0.271706	+	0.271706i	0.829787	−	0.558080i	$-0.188462\pi$
$227$	4.09367	+	4.09367i	0.271706	+	0.271706i	−0.558080	+	0.829787i	$0.688462\pi$
$228$	0.109052	−	0.452688i	0.00722216	−	0.0299800i
$229$	5.14398	−	1.37833i	0.339924	−	0.0910823i	−0.0848190	−	0.996396i	$-0.527031\pi$
$229$	5.14398	−	1.37833i	0.339924	−	0.0910823i	0.424743	+	0.905314i	$0.360365\pi$
$230$	5.30298	+	3.06168i	0.349668	+	0.201881i
$231$	−0.137304	−	7.99038i	−0.00903395	−	0.525728i
$232$	0.724134	−	2.70250i	0.0475417	−	0.177428i
$233$	7.74052	−	13.4070i	0.507098	−	0.878320i	−0.492868	−	0.870104i	$-0.664051\pi$
$233$	7.74052	−	13.4070i	0.507098	−	0.878320i	0.999966	−	0.00821605i	$-0.00261528\pi$
$234$	−22.2067	+	4.66214i	−1.45170	+	0.304774i
$235$	−2.54254	−	4.40381i	−0.165857	−	0.287273i
$236$	19.5841	+	19.5841i	1.27481	+	1.27481i
$237$	−5.12017	+	9.41277i	−0.332591	+	0.611425i
$238$	−2.67533	−	4.72308i	−0.173416	−	0.306152i
$239$	15.0679	+	15.0679i	0.974662	+	0.974662i	0.999687	−	0.0250246i	$-0.00796640\pi$
$239$	15.0679	+	15.0679i	0.974662	+	0.974662i	−0.0250246	+	0.999687i	$0.507966\pi$
$240$	−3.13516	+	0.926033i	−0.202374	+	0.0597752i
$241$	1.51968	+	1.51968i	0.0978910	+	0.0978910i	0.754356	−	0.656465i	$-0.227949\pi$
$241$	1.51968	+	1.51968i	0.0978910	+	0.0978910i	−0.656465	+	0.754356i	$0.727949\pi$
$242$	−16.1268	−	4.32117i	−1.03667	−	0.277775i
$243$	15.4629	−	1.97476i	0.991944	−	0.126681i
$244$	−25.0085	+	14.4386i	−1.60100	+	0.924339i
$245$	−4.18120	−	1.19438i	−0.267127	−	0.0763060i
$246$	8.24475	−	5.04360i	0.525666	−	0.321568i
$247$	−0.314032	+	0.253804i	−0.0199814	+	0.0161491i
$248$	−6.85393	+	3.95712i	−0.435225	+	0.251277i
$249$	2.09366	+	1.98990i	0.132680	+	0.126105i
$250$	−12.5286			−0.792376
$251$	7.31430	−	12.6687i	0.461674	−	0.799643i	−0.537370	−	0.843346i	$-0.680582\pi$
$251$	7.31430	−	12.6687i	0.461674	−	0.799643i	0.999045	+	0.0437031i	$0.0139156\pi$
$252$	−4.14358	+	18.5983i	−0.261021	+	1.17158i
$253$	−2.12087	−	7.91521i	−0.133338	−	0.497625i
$254$	19.3586	+	5.18711i	1.21466	+	0.325468i
$255$	−1.00921	+	0.298089i	−0.0631989	+	0.0186671i
$256$	7.81855			0.488660
$257$	19.8350			1.23728			0.618638	−	0.785676i	$-0.287685\pi$
$257$	19.8350			1.23728			0.618638	+	0.785676i	$0.287685\pi$
$258$	5.04100	+	17.0667i	0.313839	+	1.06253i
$259$	−5.72459	−	10.1063i	−0.355708	−	0.627974i
$260$	−5.01792	−	1.93167i	−0.311198	−	0.119797i
$261$	8.38467	−	5.42660i	0.518998	−	0.335898i
$262$	−7.71295	−	28.7851i	−0.476508	−	1.77835i
$263$	−21.6830	−	12.5187i	−1.33703	−	0.771935i	−0.350665	−	0.936501i	$-0.614044\pi$
$263$	−21.6830	−	12.5187i	−1.33703	−	0.771935i	−0.986366	+	0.164566i	$0.947378\pi$
$264$	−2.22989	−	1.21297i	−0.137240	−	0.0746533i
$265$	4.35000	−	4.35000i	0.267218	−	0.267218i
$266$	0.155925	+	0.601666i	0.00956039	+	0.0368905i
$267$	−6.51311	+	6.85274i	−0.398596	+	0.419381i
$268$	−17.9697	+	4.81497i	−1.09767	+	0.294121i
$269$			17.2777i			1.05344i	0.850039	+	0.526720i	$0.176579\pi$
$269$			17.2777i			1.05344i	−0.850039	+	0.526720i	$0.823421\pi$
$270$	6.10491	+	2.92935i	0.371533	+	0.178274i
$271$	8.00386	+	8.00386i	0.486200	+	0.486200i	0.907105	−	0.420905i	$-0.138287\pi$
$271$	8.00386	+	8.00386i	0.486200	+	0.486200i	−0.420905	+	0.907105i	$0.638287\pi$
$272$	2.97148			0.180173
$273$	12.6701	−	10.6051i	0.766829	−	0.641851i
$274$	35.4915			2.14412
$275$	5.68976	+	5.68976i	0.343106	+	0.343106i
$276$	0.496299	+	19.5317i	0.0298737	+	1.17567i
$277$		−	5.05906i		−	0.303969i	−0.988383	−	0.151985i	$-0.951434\pi$
$277$		−	5.05906i		−	0.303969i	0.988383	−	0.151985i	$-0.0485664\pi$
$278$	−4.73035	+	1.26749i	−0.283708	+	0.0760193i
$279$	−27.6252	−	5.91671i	−1.65388	−	0.354224i
$280$	−0.984686	+	0.968624i	−0.0588462	+	0.0578864i
$281$	14.6834	−	14.6834i	0.875937	−	0.875937i	−0.117175	−	0.993111i	$-0.537384\pi$
$281$	14.6834	−	14.6834i	0.875937	−	0.875937i	0.993111	+	0.117175i	$0.0373837\pi$
$282$	14.2122	−	26.1273i	0.846326	−	1.55586i
$283$	−6.04525	−	3.49023i	−0.359353	−	0.207472i	0.309444	−	0.950918i	$-0.399857\pi$
$283$	−6.04525	−	3.49023i	−0.359353	−	0.207472i	−0.668797	+	0.743445i	$0.733190\pi$
$284$	−3.40784	−	12.7182i	−0.202218	−	0.754689i
$285$	0.120454	−	0.00306073i	0.00713508	−	0.000181302i
$286$	5.35346	+	12.0549i	0.316557	+	0.712822i
$287$	−3.56890	+	6.06578i	−0.210665	+	0.358052i
$288$	−17.9316	−	16.1961i	−1.05663	−	0.954366i
$289$	−16.0435			−0.943734
$290$	4.33839			0.254759
$291$	0.665822	+	2.25420i	0.0390312	+	0.132143i
$292$	−2.28879	−	0.613278i	−0.133941	−	0.0358894i
$293$	−2.30785	−	8.61302i	−0.134826	−	0.503178i	−0.999999	−	0.00170343i	$-0.999458\pi$
$293$	−2.30785	−	8.61302i	−0.134826	−	0.503178i	0.865172	−	0.501474i	$-0.167209\pi$
$294$	−6.80266	−	24.5074i	−0.396739	−	1.42930i
$295$	−3.58345	+	6.20671i	−0.208636	+	0.361369i
$296$	−3.68940			−0.214442
$297$	−3.00494	−	8.54883i	−0.174364	−	0.496053i
$298$	−23.0378	+	13.3009i	−1.33454	+	0.770499i
$299$	9.97138	−	13.6970i	0.576660	−	0.792119i
$300$	−10.0117	−	16.3660i	−0.578023	−	0.944892i
$301$	−9.08719	−	9.23787i	−0.523777	−	0.532462i
$302$	0.125164	−	0.0722634i	0.00720237	−	0.00415829i
$303$	1.95020	−	3.58519i	0.112036	−	0.205964i
$304$	−0.328651	−	0.0880619i	−0.0188495	−	0.00505070i
$305$	−5.28390	−	5.28390i	−0.302555	−	0.302555i
$306$	−4.56763	−	4.12556i	−0.261114	−	0.235842i
$307$	18.3820	+	18.3820i	1.04912	+	1.04912i	0.998730	+	0.0503891i	$0.0160461\pi$
$307$	18.3820	+	18.3820i	1.04912	+	1.04912i	0.0503891	+	0.998730i	$0.483954\pi$
$308$	11.0759	+	0.0910732i	0.631108	+	0.00518938i
$309$	−26.1224	−	14.2095i	−1.48605	−	0.808352i
$310$	−8.67763	−	8.67763i	−0.492856	−	0.492856i
$311$	−5.55564	−	9.62265i	−0.315031	−	0.545650i	0.664413	−	0.747366i	$-0.268682\pi$
$311$	−5.55564	−	9.62265i	−0.315031	−	0.545650i	−0.979444	+	0.201715i	$0.935348\pi$
$312$	−0.947516	−	5.16206i	−0.0536425	−	0.292244i
$313$	17.2751	−	29.9213i	0.976445	−	1.69125i	0.301363	−	0.953509i	$-0.402558\pi$
$313$	17.2751	−	29.9213i	0.976445	−	1.69125i	0.675082	−	0.737743i	$-0.264108\pi$
$314$	−6.14555	+	22.9355i	−0.346813	+	1.29433i
$315$	−4.92620	+	0.209916i	−0.277560	+	0.0118275i
$316$	−12.8616	−	7.42565i	−0.723521	−	0.417725i
$317$	−24.0516	+	6.44460i	−1.35087	+	0.361965i	−0.860456	−	0.509525i	$-0.829821\pi$
$317$	−24.0516	+	6.44460i	−1.35087	+	0.361965i	−0.490414	+	0.871489i	$0.663154\pi$
$318$	34.9813	+	8.42696i	1.96165	+	0.472561i
$319$	−4.10528	−	4.10528i	−0.229852	−	0.229852i
$320$	−1.73958	−	6.49221i	−0.0972457	−	0.362926i
$321$	0.291932	+	11.4889i	0.0162941	+	0.641248i
$322$	−12.8537	−	22.6921i	−0.716309	−	1.26458i
$323$	−0.105793	−	0.0283471i	−0.00588646	−	0.00157727i
$324$	2.19173	+	21.4941i	0.121763	+	1.19412i
$325$	−1.75471	+	16.5436i	−0.0973336	+	0.917673i
$326$	30.6865	−	17.7169i	1.69957	−	0.981246i
$327$	−1.75163	−	0.421966i	−0.0968653	−	0.0233348i
$328$	1.11775	+	1.93600i	0.0617174	+	0.106898i
$329$	−0.178077	+	21.6569i	−0.00981771	+	1.19398i
$330$	0.921851	−	3.82671i	0.0507462	−	0.210653i
$331$	−7.88814	−	2.11362i	−0.433571	−	0.116175i	0.0354308	−	0.999372i	$-0.488720\pi$
$331$	−7.88814	−	2.11362i	−0.433571	−	0.116175i	−0.469002	+	0.883197i	$0.655386\pi$
$332$	−2.83081	+	2.83081i	−0.155361	+	0.155361i
$333$	−9.77365	−	8.82772i	−0.535593	−	0.483756i
$334$	17.7650	+	30.7699i	0.972059	+	1.68366i
$335$	−2.40702	−	4.16909i	−0.131510	−	0.227782i
$336$	13.5086	+	3.37197i	0.736956	+	0.183956i
$337$			16.7479i			0.912316i	0.889899	+	0.456158i	$0.150775\pi$
$337$			16.7479i			0.912316i	−0.889899	+	0.456158i	$0.849225\pi$
$338$	−12.4269	+	24.2750i	−0.675936	+	1.32039i
$339$	−28.1322	−	15.3028i	−1.52793	−	0.831133i
$340$	−0.377487	−	1.40880i	−0.0204721	−	0.0764029i
$341$			16.4227i			0.889340i
$342$	0.382924	+	0.591659i	0.0207062	+	0.0319932i
$343$	12.7688	+	13.4148i	0.689451	+	0.724332i
$344$	−3.97581	+	1.06532i	−0.214361	+	0.0574380i
$345$	−4.84875	+	1.43218i	−0.261048	+	0.0771058i
$346$	−13.9495	+	52.0602i	−0.749929	+	2.79877i
$347$			6.62129i			0.355449i	0.984080	+	0.177725i	$0.0568737\pi$
$347$			6.62129i			0.355449i	−0.984080	+	0.177725i	$0.943126\pi$
$348$	7.22362	+	11.8084i	0.387227	+	0.632998i
$349$	5.74638	−	21.4458i	0.307597	−	1.14797i	−0.623090	−	0.782150i	$-0.714123\pi$
$349$	5.74638	−	21.4458i	0.307597	−	1.14797i	0.930687	−	0.365817i	$-0.119210\pi$
$350$	22.0720	+	12.9864i	1.17980	+	0.694154i
$351$	9.84131	−	15.9420i	0.525290	−	0.850923i
$352$	−7.02302	+	12.1642i	−0.374328	+	0.648356i
$353$	16.5793	−	4.44242i	0.882429	−	0.236446i	0.210974	−	0.977492i	$-0.432336\pi$
$353$	16.5793	−	4.44242i	0.882429	−	0.236446i	0.671455	+	0.741046i	$0.265670\pi$
$354$	−41.9056	+	1.06482i	−2.22726	+	0.0565945i
$355$	2.95071	−	1.70360i	0.156608	−	0.0904174i
$356$	−9.26550	−	9.26550i	−0.491071	−	0.491071i
$357$	4.34842	+	1.08543i	0.230143	+	0.0574473i
$358$	47.3562	−	12.6891i	2.50285	−	0.670638i
$359$	9.21646	+	34.3963i	0.486426	+	1.81537i	0.573550	+	0.819170i	$0.305566\pi$
$359$	9.21646	+	34.3963i	0.486426	+	1.81537i	−0.0871238	+	0.996197i	$0.527768\pi$
$360$	−0.713197	+	1.39438i	−0.0375888	+	0.0734901i
$361$	−16.4436	−	9.49373i	−0.865454	−	0.499670i
$362$	−5.71210	+	5.71210i	−0.300221	+	0.300221i
$363$	11.7593	−	7.19356i	0.617202	−	0.377564i
$364$	14.2478	+	17.9284i	0.746790	+	0.939705i
$365$		−	0.613161i		−	0.0320943i
$366$	10.2361	−	42.4914i	0.535052	−	2.22106i
$367$	5.04748	−	8.74249i	0.263476	−	0.456354i	−0.703687	−	0.710510i	$-0.748464\pi$
$367$	5.04748	−	8.74249i	0.263476	−	0.456354i	0.967163	+	0.254156i	$0.0817976\pi$
$368$	14.2766			0.744217
$369$	−1.67126	+	7.80315i	−0.0870026	+	0.406216i
$370$	−1.48067	−	5.52594i	−0.0769764	−	0.287280i
$371$	−25.3631	+	6.57298i	−1.31679	+	0.341252i
$372$	9.17049	−	38.0678i	0.475468	−	1.97372i
$373$	−0.959348	−	1.66164i	−0.0496731	−	0.0860364i	0.840120	−	0.542401i	$-0.182485\pi$
$373$	−0.959348	−	1.66164i	−0.0496731	−	0.0860364i	−0.889793	+	0.456365i	$0.849151\pi$
$374$	−1.78894	+	3.09853i	−0.0925038	+	0.160221i
$375$	7.12643	−	7.49804i	0.368007	−	0.387197i
$376$	5.95770	+	3.43968i	0.307245	+	0.177388i
$377$	1.26606	−	11.9366i	0.0652053	−	0.614764i
$378$	−16.0832	−	23.9384i	−0.827233	−	1.23126i
$379$	3.01567	+	0.808047i	0.154905	+	0.0415066i	0.335438	−	0.942062i	$-0.391116\pi$
$379$	3.01567	+	0.808047i	0.154905	+	0.0415066i	−0.180533	+	0.983569i	$0.557782\pi$
$380$			0.167003i			0.00856706i
$381$	−14.1158	+	8.63511i	−0.723173	+	0.442390i
$382$	40.4510	+	10.8388i	2.06965	+	0.554562i
$383$	1.02975	−	3.84309i	0.0526179	−	0.196373i	−0.934614	−	0.355665i	$-0.884255\pi$
$383$	1.02975	−	3.84309i	0.0526179	−	0.196373i	0.987231	+	0.159292i	$0.0509212\pi$
$384$	7.86144	−	8.27138i	0.401177	−	0.422097i
$385$	0.719038	+	2.77454i	0.0366456	+	0.141404i
$386$	−31.8619	−	18.3955i	−1.62173	−	0.936305i
$387$	−13.0814	−	6.69088i	−0.664965	−	0.340117i
$388$	−3.14674	+	0.843167i	−0.159752	+	0.0428053i
$389$	−1.94541	−	3.36955i	−0.0986363	−	0.170843i	0.812484	−	0.582983i	$-0.198115\pi$
$389$	−1.94541	−	3.36955i	−0.0986363	−	0.170843i	−0.911120	+	0.412140i	$0.864781\pi$
$390$	7.35140	−	3.49087i	0.372253	−	0.176767i
$391$	4.59562			0.232410
$392$	5.70662	−	1.42893i	0.288228	−	0.0721720i
$393$	21.6144	+	11.7574i	1.09030	+	0.593082i
$394$	−0.580493	+	0.335148i	−0.0292448	+	0.0168845i
$395$	0.994657	−	3.71211i	0.0500466	−	0.186777i
$396$	11.9506	−	3.86251i	0.600541	−	0.194098i
$397$	−9.60031	+	35.8289i	−0.481826	+	1.79820i	0.112121	+	0.993695i	$0.464235\pi$
$397$	−9.60031	+	35.8289i	−0.481826	+	1.79820i	−0.593947	+	0.804504i	$0.702431\pi$
$398$	−21.4242	+	21.4242i	−1.07390	+	1.07390i
$399$	−0.448775	−	0.248919i	−0.0224669	−	0.0124615i
$400$	−12.1407	+	7.00945i	−0.607036	+	0.350473i
$401$	4.57483	−	4.57483i	0.228456	−	0.228456i	−0.583591	−	0.812047i	$-0.698353\pi$
$401$	4.57483	−	4.57483i	0.228456	−	0.228456i	0.812047	+	0.583591i	$0.198353\pi$
$402$	13.4547	−	24.7347i	0.671060	−	1.23366i
$403$	−26.4078	+	21.3430i	−1.31546	+	1.06317i
$404$	4.89879	+	2.82832i	0.243724	+	0.140714i
$405$	−5.22570	+	1.98738i	−0.259667	+	0.0987539i
$406$	−15.9254	−	9.36999i	−0.790366	−	0.465025i
$407$	−3.82791	+	6.63013i	−0.189742	+	0.328643i
$408$	0.980754	−	1.03190i	0.0485546	−	0.0510864i
$409$	19.1275	−	19.1275i	0.945794	−	0.945794i	−0.0528106	−	0.998605i	$-0.516818\pi$
$409$	19.1275	−	19.1275i	0.945794	−	0.945794i	0.998605	+	0.0528106i	$0.0168180\pi$
$410$	−2.45113	+	2.45113i	−0.121053	+	0.121053i
$411$	−20.1881	+	21.2408i	−0.995804	+	1.04773i
$412$	20.6077	−	35.6936i	1.01527	−	1.75850i
$413$	26.5593	−	15.0442i	1.30690	−	0.740278i
$414$	−21.9453	−	19.8213i	−1.07855	−	0.974165i
$415$	−0.897160	−	0.517976i	−0.0440398	−	0.0254264i
$416$	−28.6873	+	4.51566i	−1.40651	+	0.221398i
$417$	1.93213	−	3.55197i	0.0946168	−	0.173941i
$418$	0.289687	−	0.289687i	0.0141690	−	0.0141690i
$419$	27.9901	−	16.1601i	1.36741	−	0.789472i	0.376810	−	0.926290i	$-0.377021\pi$
$419$	27.9901	−	16.1601i	1.36741	−	0.789472i	0.990596	+	0.136818i	$0.0436876\pi$
$420$	−0.117414	−	6.83289i	−0.00572923	−	0.333411i
$421$	20.5383	−	20.5383i	1.00098	−	1.00098i	0.000975692	−	1.00000i	$-0.499689\pi$
$421$	20.5383	−	20.5383i	1.00098	−	1.00098i	1.00000		0.000975692i	$-0.000310572\pi$
$422$	10.8214	−	40.3859i	0.526776	−	1.96596i
$423$	7.55244	+	23.3673i	0.367212	+	1.13616i
$424$	−2.15402	+	8.03892i	−0.104609	+	0.390405i
$425$	−3.90809	+	2.25634i	−0.189570	+	0.109448i
$426$	17.5063	+	9.52271i	0.848181	+	0.461377i
$427$	7.98414	+	30.8083i	0.386379	+	1.49092i
$428$	−15.9287			−0.769943
$429$	−10.2597	−	3.65309i	−0.495343	−	0.176373i
$430$	−3.19123	−	5.52738i	−0.153895	−	0.266554i
$431$	32.2115	−	8.63106i	1.55158	−	0.415743i	0.621591	−	0.783342i	$-0.286487\pi$
$431$	32.2115	−	8.63106i	1.55158	−	0.415743i	0.929985	+	0.367599i	$0.119820\pi$
$432$	15.7415	−	1.20204i	0.757363	−	0.0578332i
$433$	11.6225	+	6.71025i	0.558541	+	0.322474i	0.752560	−	0.658524i	$-0.228819\pi$
$433$	11.6225	+	6.71025i	0.558541	+	0.322474i	−0.194018	+	0.980998i	$0.562152\pi$
$434$	13.1122	+	50.5957i	0.629404	+	2.42867i
$435$	−2.46774	+	2.59642i	−0.118319	+	0.124489i
$436$	0.646324	−	2.41211i	0.0309533	−	0.115519i
$437$	−0.508283	−	0.136194i	−0.0243145	−	0.00651505i
$438$	3.05934	−	1.87151i	0.146181	−	0.0894240i
$439$			15.8449i			0.756234i	0.925758	+	0.378117i	$0.123428\pi$
$439$			15.8449i			0.756234i	−0.925758	+	0.378117i	$0.876572\pi$
$440$	0.879402	+	0.235635i	0.0419238	+	0.0112335i
$441$	18.5365	+	9.86896i	0.882693	+	0.469951i
$442$	−7.30736	+	1.15025i	−0.347575	+	0.0547118i
$443$	−18.8086	−	10.8591i	−0.893622	−	0.515933i	−0.0184964	−	0.999829i	$-0.505888\pi$
$443$	−18.8086	−	10.8591i	−0.893622	−	0.515933i	−0.875125	+	0.483896i	$0.839221\pi$
$444$	12.5753	−	13.2311i	0.596799	−	0.627919i
$445$	1.69538	−	2.93648i	0.0803687	−	0.139203i
$446$	−2.36947	−	4.10404i	−0.112198	−	0.194332i
$447$	5.14399	−	21.3533i	0.243302	−	1.00998i
$448$	−7.63608	+	27.5888i	−0.360771	+	1.30345i
$449$	−2.07717	−	7.75210i	−0.0980277	−	0.365844i	0.899433	−	0.437058i	$-0.143979\pi$
$449$	−2.07717	−	7.75210i	−0.0980277	−	0.365844i	−0.997461	+	0.0712135i	$0.977313\pi$
$450$	28.3940	+	6.08136i	1.33850	+	0.286678i
$451$	4.63885			0.218435
$452$	22.1932	−	38.4398i	1.04388	−	1.80805i
$453$	−0.0279472	+	0.116012i	−0.00131307	+	0.00545072i
$454$		−	12.1446i		−	0.569976i
$455$	−3.52701	+	4.76202i	−0.165349	+	0.223247i
$456$	−0.139054	+	0.0850642i	−0.00651180	+	0.00398350i
$457$	1.08195	−	1.08195i	0.0506113	−	0.0506113i	−0.681348	−	0.731959i	$-0.738606\pi$
$457$	1.08195	−	1.08195i	0.0506113	−	0.0506113i	0.731959	+	0.681348i	$0.238606\pi$
$458$	−9.67482	−	5.58576i	−0.452075	−	0.261005i
$459$	5.06718	−	0.386936i	0.236516	−	0.0180606i
$460$	−1.81364	−	6.76861i	−0.0845616	−	0.315588i
$461$	24.9152	−	6.67600i	1.16042	−	0.310932i	0.373284	−	0.927717i	$-0.378232\pi$
$461$	24.9152	−	6.67600i	1.16042	−	0.310932i	0.787132	+	0.616785i	$0.211565\pi$
$462$	−11.6488	+	12.0561i	−0.541952	+	0.560903i
$463$	−27.7220	−	27.7220i	−1.28835	−	1.28835i	−0.935788	−	0.352563i	$-0.885310\pi$
$463$	−27.7220	−	27.7220i	−1.28835	−	1.28835i	−0.352563	−	0.935788i	$-0.614690\pi$
$464$	8.75979	−	5.05747i	0.406663	−	0.234787i
$465$	10.1293	−	0.257385i	0.469735	−	0.0119359i
$466$	−31.3690	+	8.40530i	−1.45314	+	0.389368i
$467$	−3.04652	+	5.27672i	−0.140976	+	0.244178i	−0.927864	−	0.372918i	$-0.878357\pi$
$467$	−3.04652	+	5.27672i	−0.140976	+	0.244178i	0.786888	+	0.617095i	$0.211691\pi$
$468$	21.7420	+	14.1969i	1.00502	+	0.656251i
$469$	−0.168586	+	20.5026i	−0.00778456	+	0.946722i
$470$	−2.76090	+	10.3038i	−0.127351	+	0.475280i
$471$	−10.2307	−	16.7240i	−0.471404	−	0.770601i
$472$		−	9.69574i		−	0.446283i
$473$	−2.21062	+	8.25014i	−0.101644	+	0.379342i
$474$	21.5574	−	6.36740i	0.990162	−	0.292464i
$475$	0.499110	−	0.133736i	0.0229007	−	0.00613623i
$476$	−1.65702	+	5.98673i	−0.0759493	+	0.274401i
$477$	−24.9412	+	16.1421i	−1.14198	+	0.739094i
$478$		−	44.7018i		−	2.04461i
$479$	−0.552791	−	2.06304i	−0.0252577	−	0.0942629i	0.952146	−	0.305642i	$-0.0988711\pi$
$479$	−0.552791	−	2.06304i	−0.0252577	−	0.0942629i	−0.977404	+	0.211379i	$0.932204\pi$
$480$	7.61279	+	4.14106i	0.347475	+	0.189013i
$481$	−15.6360	+	2.46126i	−0.712941	+	0.112224i
$482$		−	4.50841i		−	0.205352i
$483$	20.8921	+	5.21500i	0.950622	+	0.237291i
$484$	9.55303	+	16.5463i	0.434228	+	0.752106i
$485$	−0.421502	−	0.730064i	−0.0191394	−	0.0331505i
$486$	−25.8660	−	20.0075i	−1.17331	−	0.907559i
$487$	−18.7761	+	18.7761i	−0.850824	+	0.850824i	−0.990235	−	0.139410i	$-0.955479\pi$
$487$	−18.7761	+	18.7761i	−0.850824	+	0.850824i	0.139410	+	0.990235i	$0.455479\pi$
$488$	9.76480	+	2.61647i	0.442032	+	0.118442i
$489$	−6.85183	+	28.4427i	−0.309850	+	1.28622i
$490$	4.43048	+	7.97383i	0.200149	+	0.360221i
$491$	0.899836	+	1.55856i	0.0406091	+	0.0703369i	0.885616	−	0.464419i	$-0.153737\pi$
$491$	0.899836	+	1.55856i	0.0406091	+	0.0703369i	−0.845007	+	0.534756i	$0.820404\pi$
$492$	−10.7528	−	2.59034i	−0.484774	−	0.116782i
$493$	2.81977	−	1.62800i	0.126996	−	0.0733212i
$494$	0.842295	+	0.0893386i	0.0378967	+	0.00401953i
$495$	1.76583	+	2.72839i	0.0793681	+	0.122632i
$496$	−27.6372	−	7.40536i	−1.24095	−	0.332511i
$497$	−14.5109	−	0.119318i	−0.650904	−	0.00535215i
$498$	−0.153916	−	6.05732i	−0.00689715	−	0.271435i
$499$	3.07949	+	11.4928i	0.137857	+	0.514489i	0.999970	+	0.00777299i	$0.00247424\pi$
$499$	3.07949	+	11.4928i	0.137857	+	0.514489i	−0.862113	+	0.506716i	$0.830859\pi$
$500$	10.1380	+	10.1380i	0.453385	+	0.453385i
$501$	−28.5200	−	6.87045i	−1.27418	−	0.306949i
$502$	−29.6417	+	7.94247i	−1.32297	+	0.354490i
$503$	11.7897	+	6.80679i	0.525677	+	0.303500i	0.739254	−	0.673426i	$-0.235178\pi$
$503$	11.7897	+	6.80679i	0.525677	+	0.303500i	−0.213577	+	0.976926i	$0.568512\pi$
$504$	5.62956	−	3.57815i	0.250761	−	0.159383i
$505$	−0.378850	+	1.41389i	−0.0168586	+	0.0629172i
$506$	−8.59499	+	14.8870i	−0.382094	+	0.661806i
$507$	−7.45937	−	21.2452i	−0.331282	−	0.943532i
$508$	−11.4674	−	19.8621i	−0.508784	−	0.881239i
$509$	−8.07281	−	8.07281i	−0.357821	−	0.357821i	0.505188	−	0.863009i	$-0.331423\pi$
$509$	−8.07281	−	8.07281i	−0.357821	−	0.357821i	−0.863009	+	0.505188i	$0.831423\pi$
$510$	1.93917	+	1.05483i	0.0858678	+	0.0467087i
$511$	−1.32429	+	2.25080i	−0.0585833	+	0.0995695i
$512$	−20.9149	−	20.9149i	−0.924317	−	0.924317i
$513$	−0.571906	−	0.107373i	−0.0252503	−	0.00474065i
$514$	−29.4222	−	29.4222i	−1.29776	−	1.29776i
$515$	10.3019	+	2.76038i	0.453955	+	0.121637i
$516$	9.73110	−	17.8894i	0.428388	−	0.787535i
$517$	12.3627	−	7.13763i	0.543712	−	0.313912i
$518$	−6.49956	+	23.4826i	−0.285574	+	1.03177i
$519$	−23.2221	−	37.9610i	−1.01934	−	1.66630i
$520$	0.763973	+	1.72031i	0.0335024	+	0.0754407i
$521$	3.52175	−	2.03328i	0.154291	−	0.0890798i	−0.420867	−	0.907122i	$-0.638274\pi$
$521$	3.52175	−	2.03328i	0.154291	−	0.0890798i	0.575158	+	0.818043i	$0.304941\pi$
$522$	−20.4868	−	4.38783i	−0.896685	−	0.192050i
$523$	27.1196			1.18586			0.592928	−	0.805255i	$-0.297972\pi$
$523$	27.1196			1.18586			0.592928	+	0.805255i	$0.297972\pi$
$524$	−17.0514	+	29.5339i	−0.744895	+	1.29020i
$525$	−20.3270	+	5.82269i	−0.887141	+	0.254123i
$526$	13.5938	+	50.7328i	0.592719	+	2.21206i
$527$	−8.89639	−	2.38378i	−0.387533	−	0.103839i
$528$	−2.59963	−	8.80128i	−0.113135	−	0.383026i
$529$	−0.920264			−0.0400115
$530$	−12.9051			−0.560561
$531$	23.1993	−	25.6852i	1.00676	−	1.11464i
$532$	0.360690	−	0.613036i	0.0156379	−	0.0265785i
$533$	6.02867	+	7.45927i	0.261131	+	0.323097i
$534$	19.8261	−	0.503781i	0.857961	−	0.0218007i
$535$	−1.06682	−	3.98142i	−0.0461225	−	0.172132i
$536$	5.64016	+	3.25635i	0.243618	+	0.140653i
$537$	−19.3428	+	35.5592i	−0.834704	+	1.53449i
$538$	25.6288	−	25.6288i	1.10494	−	1.10494i
$539$	3.35296	−	11.7378i	0.144422	−	0.505583i
$540$	−2.56964	−	7.31044i	−0.110580	−	0.314591i
$541$	18.5250	−	4.96377i	0.796453	−	0.213409i	0.162427	−	0.986721i	$-0.448068\pi$
$541$	18.5250	−	4.96377i	0.796453	−	0.213409i	0.634026	+	0.773312i	$0.281401\pi$
$542$		−	23.7450i		−	1.01993i
$543$	−0.169425	−	6.66768i	−0.00727073	−	0.286137i
$544$	−5.57011	−	5.57011i	−0.238817	−	0.238817i
$545$	0.646200			0.0276802
$546$	−34.5251	−	3.06308i	−1.47754	−	0.131088i
$547$	6.51197			0.278432			0.139216	−	0.990262i	$-0.455542\pi$
$547$	6.51197			0.278432			0.139216	+	0.990262i	$0.455542\pi$
$548$	−28.7194	−	28.7194i	−1.22683	−	1.22683i
$549$	19.6076	+	30.2958i	0.836832	+	1.29299i
$550$		−	16.8797i		−	0.719755i
$551$	−0.360118	+	0.0964934i	−0.0153416	+	0.00411076i
$552$	4.71206	−	4.95777i	0.200558	−	0.211017i
$553$	−11.6686	+	11.4782i	−0.496198	+	0.488104i
$554$	−7.50432	+	7.50432i	−0.318828	+	0.318828i
$555$	4.14936	+	2.25709i	0.176131	+	0.0958080i
$556$	4.85341	+	2.80212i	0.205830	+	0.118836i
$557$	−8.71547	−	32.5266i	−0.369287	−	1.37820i	−0.861516	−	0.507731i	$-0.830485\pi$
$557$	−8.71547	−	32.5266i	−0.369287	−	1.37820i	0.492229	−	0.870465i	$-0.336182\pi$
$558$	32.2011	+	49.7542i	1.36318	+	2.10626i
$559$	−16.1392	+	7.16724i	−0.682614	+	0.303142i
$560$	−4.99341	−	0.0410590i	−0.211010	−	0.00173506i
$561$	−0.836821	−	2.83312i	−0.0353306	−	0.119615i
$562$	−43.5610			−1.83751
$563$	3.91855			0.165147			0.0825735	−	0.996585i	$-0.473686\pi$
$563$	3.91855			0.165147			0.0825735	+	0.996585i	$0.473686\pi$
$564$	−32.6424	+	9.64159i	−1.37449	+	0.405984i
$565$	11.0945	+	2.97276i	0.466748	+	0.125065i
$566$	3.78998	+	14.1444i	0.159305	+	0.594533i
$567$	23.4749	+	3.99107i	0.985854	+	0.167609i
$568$	−2.30471	+	3.99188i	−0.0967036	+	0.167495i
$569$	−1.34502			−0.0563861			−0.0281931	−	0.999602i	$-0.508975\pi$
$569$	−1.34502			−0.0563861			−0.0281931	+	0.999602i	$0.508975\pi$
$570$	−0.183215	−	0.174135i	−0.00767403	−	0.00729370i
$571$	18.3941	−	10.6199i	0.769771	−	0.444428i	−0.0630218	−	0.998012i	$-0.520074\pi$
$571$	18.3941	−	10.6199i	0.769771	−	0.444428i	0.832793	+	0.553585i	$0.186740\pi$
$572$	5.42275	−	14.0867i	0.226737	−	0.588995i
$573$	−29.4959	+	18.0436i	−1.23221	+	0.753784i
$574$	14.2915	−	3.70373i	0.596517	−	0.154591i
$575$	−18.7765	+	10.8406i	−0.783035	+	0.452085i
$576$	1.64850	+	32.4171i	0.0686873	+	1.35071i
$577$	10.6378	+	2.85039i	0.442858	+	0.118663i	0.473356	−	0.880871i	$-0.343043\pi$
$577$	10.6378	+	2.85039i	0.442858	+	0.118663i	−0.0304976	+	0.999535i	$0.509709\pi$
$578$	23.7980	+	23.7980i	0.989866	+	0.989866i
$579$	29.1328	−	8.60495i	1.21072	−	0.357609i
$580$	−3.51059	−	3.51059i	−0.145769	−	0.145769i
$581$	2.17459	+	3.83906i	0.0902173	+	0.159271i
$582$	2.35610	−	4.33139i	0.0976636	−	0.179542i
$583$	12.2117	+	12.2117i	0.505755	+	0.505755i
$584$	0.414758	+	0.718382i	0.0171628	+	0.0297268i
$585$	−2.09238	+	6.38529i	−0.0865093	+	0.263999i
$586$	−9.35273	+	16.1994i	−0.386358	+	0.669191i
$587$	7.28279	−	27.1797i	0.300593	−	1.12183i	−0.636080	−	0.771623i	$-0.719445\pi$
$587$	7.28279	−	27.1797i	0.300593	−	1.12183i	0.936673	−	0.350205i	$-0.113888\pi$
$588$	−14.3265	+	25.3359i	−0.590817	+	1.04483i
$589$	0.913312	+	0.527301i	0.0376324	+	0.0217271i
$590$	14.5222	−	3.89120i	0.597868	−	0.160198i
$591$	0.129615	−	0.538048i	0.00533166	−	0.0221323i
$592$	−9.43151	−	9.43151i	−0.387633	−	0.387633i
$593$	−5.55804	−	20.7429i	−0.228241	−	0.851808i	−0.981080	−	0.193603i	$-0.937983\pi$
$593$	−5.55804	−	20.7429i	−0.228241	−	0.851808i	0.752839	−	0.658205i	$-0.228684\pi$
$594$	−8.22350	+	17.1382i	−0.337414	+	0.703189i
$595$	−1.60737	−	0.0132169i	−0.0658959	−	0.000541839i
$596$	29.4049	+	7.87903i	1.20447	+	0.322738i
$597$	−0.635459	−	25.0083i	−0.0260076	−	1.02352i
$598$	−35.1084	+	5.52640i	−1.43569	+	0.225991i
$599$	−7.96642	+	4.59942i	−0.325499	+	0.187927i	−0.653841	−	0.756632i	$-0.726844\pi$
$599$	−7.96642	+	4.59942i	−0.325499	+	0.187927i	0.328342	+	0.944559i	$0.393510\pi$
$600$	−1.57297	+	6.52957i	−0.0642161	+	0.266568i
$601$	0.0890368	+	0.154216i	0.00363189	+	0.00629061i	0.867836	−	0.496851i	$-0.165511\pi$
$601$	0.0890368	+	0.154216i	0.00363189	+	0.00629061i	−0.864204	+	0.503142i	$0.832177\pi$
$602$	−0.223511	+	27.1824i	−0.00910962	+	1.10787i
$603$	7.14989	+	22.1218i	0.291166	+	0.900869i
$604$	−0.159756	−	0.0428066i	−0.00650039	−	0.00174178i
$605$	−3.49598	+	3.49598i	−0.142132	+	0.142132i
$606$	−8.21088	+	2.42525i	−0.333544	+	0.0985190i
$607$	2.33722	+	4.04818i	0.0948648	+	0.164311i	0.909552	−	0.415590i	$-0.136425\pi$
$607$	2.33722	+	4.04818i	0.0948648	+	0.164311i	−0.814687	+	0.579900i	$0.803091\pi$
$608$	0.450990	+	0.781138i	0.0182901	+	0.0316793i
$609$	14.6663	−	4.20120i	0.594310	−	0.170241i
$610$			15.6757i			0.634689i
$611$	27.5440	+	10.6032i	1.11431	+	0.428960i
$612$	0.357721	+	7.03445i	0.0144600	+	0.284351i
$613$	6.73779	+	25.1458i	0.272137	+	1.01563i	0.957736	+	0.287649i	$0.0928737\pi$
$613$	6.73779	+	25.1458i	0.272137	+	1.01563i	−0.685599	+	0.727979i	$0.740460\pi$
$614$		−	54.5338i		−	2.20080i
$615$	−0.0727023	−	2.86118i	−0.00293164	−	0.115374i
$616$	−2.71920	−	2.76429i	−0.109560	−	0.111376i
$617$	17.6493	−	4.72913i	0.710536	−	0.190387i	0.114591	−	0.993413i	$-0.463444\pi$
$617$	17.6493	−	4.72913i	0.710536	−	0.190387i	0.595945	+	0.803025i	$0.296778\pi$
$618$	17.6708	+	59.8261i	0.710825	+	2.40656i
$619$	−8.19258	+	30.5751i	−0.329288	+	1.22892i	0.580643	+	0.814158i	$0.302801\pi$
$619$	−8.19258	+	30.5751i	−0.329288	+	1.22892i	−0.909931	+	0.414760i	$0.863865\pi$
$620$			14.0437i			0.564009i
$621$	24.3454	−	1.85904i	0.976946	−	0.0746009i
$622$	−6.03277	+	22.5146i	−0.241892	+	0.902754i
$623$	−12.5656	+	7.11763i	−0.503430	+	0.285162i
$624$	10.7740	−	15.6184i	0.431304	−	0.625236i
$625$	9.68023	−	16.7666i	0.387209	−	0.670666i
$626$	−70.0085	+	18.7587i	−2.79810	+	0.749749i
$627$	0.00859233	+	0.338148i	0.000343145	+	0.0135043i
$628$	23.5321	−	13.5863i	0.939034	−	0.542152i
$629$	−3.03600	−	3.03600i	−0.121053	−	0.121053i
$630$	7.61863	+	6.99587i	0.303533	+	0.278722i
$631$	10.2081	−	2.73524i	0.406377	−	0.108888i	−0.0498396	−	0.998757i	$-0.515871\pi$
$631$	10.2081	−	2.73524i	0.406377	−	0.108888i	0.456216	+	0.889869i	$0.349204\pi$
$632$	1.34562	+	5.02194i	0.0535260	+	0.199762i
$633$	18.0146	+	29.4484i	0.716017	+	1.17047i
$634$	45.2363	+	26.1172i	1.79656	+	1.03725i
$635$	4.19656	−	4.19656i	0.166535	−	0.166535i
$636$	−21.4875	−	35.1256i	−0.852036	−	1.39282i
$637$	23.2319	−	9.86294i	0.920482	−	0.390784i
$638$			12.1791i			0.482175i
$639$	−15.6569	+	5.06041i	−0.619378	+	0.200187i
$640$	−2.04635	+	3.54439i	−0.0808892	+	0.140104i
$641$	−8.55832			−0.338033			−0.169017	−	0.985613i	$-0.554059\pi$
$641$	−8.55832			−0.338033			−0.169017	+	0.985613i	$0.554059\pi$
$642$	16.6089	−	17.4750i	0.655503	−	0.689684i
$643$	5.16407	+	19.2726i	0.203651	+	0.760035i	0.989857	+	0.142071i	$0.0453760\pi$
$643$	5.16407	+	19.2726i	0.203651	+	0.760035i	−0.786206	+	0.617965i	$0.787957\pi$
$644$	−7.96118	+	28.7634i	−0.313714	+	1.13344i
$645$	5.12322	+	1.23418i	0.201727	+	0.0485957i
$646$	0.114878	+	0.198975i	0.00451983	+	0.00782858i
$647$	−17.6052	+	30.4932i	−0.692134	+	1.19881i	0.279004	+	0.960290i	$0.409996\pi$
$647$	−17.6052	+	30.4932i	−0.692134	+	1.19881i	−0.971137	+	0.238521i	$0.923338\pi$
$648$	4.77814	−	5.86323i	0.187703	−	0.230329i
$649$	−17.4240	−	10.0597i	−0.683951	−	0.394880i
$650$	27.1427	−	21.9370i	1.06462	−	0.860440i
$651$	−37.7387	−	20.9323i	−1.47910	−	0.820401i
$652$	−39.1676	−	10.4949i	−1.53392	−	0.411013i
$653$			42.3285i			1.65644i	0.560401	+	0.828221i	$0.310647\pi$
$653$			42.3285i			1.65644i	−0.560401	+	0.828221i	$0.689353\pi$
$654$	1.97235	+	3.22419i	0.0771249	+	0.126076i
$655$	−8.52408	−	2.28402i	−0.333063	−	0.0892440i
$656$	−2.09176	+	7.80654i	−0.0816694	+	0.304794i
$657$	−0.620148	+	2.89548i	−0.0241943	+	0.112963i
$658$	32.3888	−	31.8605i	1.26265	−	1.24205i
$659$	3.84070	+	2.21743i	0.149612	+	0.0863787i	0.572937	−	0.819599i	$-0.305804\pi$
$659$	3.84070	+	2.21743i	0.149612	+	0.0863787i	−0.423325	+	0.905978i	$0.639137\pi$
$660$	−3.84249	+	2.35059i	−0.149569	+	0.0914964i
$661$	−3.19024	+	0.854823i	−0.124086	+	0.0332488i	−0.320328	−	0.947307i	$-0.603793\pi$
$661$	−3.19024	+	0.854823i	−0.124086	+	0.0332488i	0.196242	+	0.980556i	$0.437126\pi$
$662$	8.56560	+	14.8360i	0.332911	+	0.576619i
$663$	3.46813	−	5.02755i	0.134691	−	0.195254i
$664$	1.40149			0.0543883
$665$	0.177387	+	0.0490974i	0.00687876	+	0.00190392i
$666$	1.40314	+	27.5922i	0.0543705	+	1.06918i
$667$	13.5477	−	7.82174i	0.524567	−	0.302859i
$668$	10.5235	−	39.2741i	0.407165	−	1.51956i
$669$	3.80395	+	0.916369i	0.147069	+	0.0354289i
$670$	−2.61375	+	9.75463i	−0.100978	+	0.376854i
$671$	14.8334	−	14.8334i	0.572636	−	0.572636i
$672$	−19.0014	−	31.6430i	−0.732994	−	1.22066i
$673$	−3.72705	+	2.15181i	−0.143667	+	0.0829462i	−0.570111	−	0.821568i	$-0.693100\pi$
$673$	−3.72705	+	2.15181i	−0.143667	+	0.0829462i	0.426443	+	0.904514i	$0.359766\pi$
$674$	24.8429	−	24.8429i	0.956912	−	0.956912i
$675$	−19.7904	+	13.5339i	−0.761735	+	0.520921i
$676$	29.6989	−	9.58735i	1.14226	−	0.368744i
$677$	−4.27299	−	2.46701i	−0.164224	−	0.0948150i	0.415635	−	0.909531i	$-0.363559\pi$
$677$	−4.27299	−	2.46701i	−0.164224	−	0.0948150i	−0.579860	+	0.814716i	$0.696893\pi$
$678$	19.0304	+	64.4290i	0.730858	+	2.47438i
$679$	−0.0295216	+	3.59028i	−0.00113294	+	0.137782i
$680$	−0.255293	+	0.442180i	−0.00979003	+	0.0169568i
$681$	7.26827	+	6.90805i	0.278521	+	0.264717i
$682$	24.3605	−	24.3605i	0.932813	−	0.932813i
$683$	19.0739	−	19.0739i	0.729844	−	0.729844i	−0.240745	−	0.970588i	$-0.577392\pi$
$683$	19.0739	−	19.0739i	0.729844	−	0.729844i	0.970588	+	0.240745i	$0.0773916\pi$
$684$	0.168906	−	0.788624i	0.00645828	−	0.0301538i
$685$	5.25501	−	9.10194i	0.200783	−	0.347767i
$686$	0.958259	−	38.8393i	0.0365865	−	1.48289i
$687$	8.84612	−	2.61288i	0.337501	−	0.0996876i
$688$	−12.8870	−	7.44034i	−0.491314	−	0.283660i
$689$	−3.76604	+	35.5067i	−0.143475	+	1.35270i
$690$	9.31678	+	5.06796i	0.354684	+	0.192934i
$691$	−7.61455	+	7.61455i	−0.289671	+	0.289671i	−0.836950	−	0.547279i	$-0.815664\pi$
$691$	−7.61455	+	7.61455i	−0.289671	+	0.289671i	0.547279	+	0.836950i	$0.315664\pi$
$692$	53.4145	−	30.8389i	2.03051	−	1.17232i
$693$	−0.589295	−	13.8292i	−0.0223854	−	0.525329i
$694$	9.82165	−	9.82165i	0.372825	−	0.372825i
$695$	−0.375340	+	1.40079i	−0.0142375	+	0.0531350i
$696$	1.13493	−	4.71122i	0.0430194	−	0.178578i
$697$	−0.673335	+	2.51292i	−0.0255044	+	0.0951836i
$698$	−40.3353	+	23.2876i	−1.52671	+	0.881449i
$699$	12.8128	−	23.5546i	0.484624	−	0.890918i
$700$	−7.35198	−	28.3690i	−0.277879	−	1.07225i
$701$	−36.2337			−1.36853			−0.684264	−	0.729234i	$-0.739877\pi$
$701$	−36.2337			−1.36853			−0.684264	+	0.729234i	$0.739877\pi$
$702$	−38.2456	+	9.04949i	−1.44349	+	0.341551i
$703$	0.245813	+	0.425760i	0.00927101	+	0.0160579i
$704$	18.2255	−	4.88350i	0.686898	−	0.184054i
$705$	−4.59614	−	7.51329i	−0.173101	−	0.282967i
$706$	−31.1825	−	18.0032i	−1.17357	−	0.677560i
$707$	4.44438	−	4.37189i	0.167148	−	0.164422i
$708$	34.7713	+	33.0480i	1.30679	+	1.24202i
$709$	3.10309	−	11.5809i	0.116539	−	0.434929i	−0.882858	−	0.469639i	$-0.844384\pi$
$709$	3.10309	−	11.5809i	0.116539	−	0.434929i	0.999397	+	0.0347098i	$0.0110507\pi$
$710$	−6.90394	−	1.84990i	−0.259100	−	0.0694257i
$711$	−8.45140	+	16.5234i	−0.316952	+	0.619676i
$712$			4.58719i			0.171912i
$713$	−42.7429	−	11.4529i	−1.60073	−	0.428915i
$714$	−4.84012	−	8.06027i	−0.181137	−	0.301648i
$715$	3.88419	+	0.411979i	0.145260	+	0.0154071i
$716$	−48.5881	−	28.0524i	−1.81582	−	1.04837i
$717$	26.7529	+	25.4270i	0.999106	+	0.949590i
$718$	37.3504	−	64.6927i	1.39390	−	2.41431i
$719$	−12.5893	−	21.8052i	−0.469500	−	0.813198i	0.529892	−	0.848065i	$-0.322232\pi$
$719$	−12.5893	−	21.8052i	−0.469500	−	0.813198i	−0.999392	+	0.0348674i	$0.988899\pi$
$720$	−5.38776	+	1.74136i	−0.200790	+	0.0648965i
$721$	−31.8544	−	32.3826i	−1.18632	−	1.20599i
$722$	10.3091	+	38.4740i	0.383664	+	1.43185i
$723$	2.69817	+	2.56445i	0.100346	+	0.0953728i
$724$	9.24436			0.343564
$725$	−7.68057	+	13.3031i	−0.285249	+	0.494066i
$726$	−28.1136	−	6.77253i	−1.04339	−	0.251352i
$727$			39.7949i			1.47591i	0.674850	+	0.737955i	$0.264208\pi$
$727$			39.7949i			1.47591i	−0.674850	+	0.737955i	$0.735792\pi$
$728$	0.911097	−	7.96496i	0.0337675	−	0.295201i
$729$	26.6869	−	4.09961i	0.988406	−	0.151837i
$730$	−0.909528	+	0.909528i	−0.0336632	+	0.0336632i
$731$	−4.14833	−	2.39504i	−0.153432	−	0.0885837i
$732$	−42.6667	+	26.1007i	−1.57701	+	0.964709i
$733$	−6.50845	−	24.2898i	−0.240395	−	0.897166i	−0.975642	−	0.219367i	$-0.929601\pi$
$733$	−6.50845	−	24.2898i	−0.240395	−	0.897166i	0.735247	−	0.677799i	$-0.237066\pi$
$734$	−20.4553	+	5.48097i	−0.755017	+	0.202306i
$735$	−7.29226	−	1.88410i	−0.268979	−	0.0694959i
$736$	−26.7617	−	26.7617i	−0.986450	−	0.986450i
$737$	11.7038	−	6.75719i	0.431115	−	0.248904i
$738$	14.0538	−	9.09570i	0.517328	−	0.334817i
$739$	−7.09769	+	1.90182i	−0.261093	+	0.0699596i	−0.386991	−	0.922084i	$-0.626485\pi$
$739$	−7.09769	+	1.90182i	−0.261093	+	0.0699596i	0.125898	+	0.992043i	$0.459819\pi$
$740$	−3.27339	+	5.66968i	−0.120332	+	0.208422i
$741$	−0.532577	+	0.453276i	−0.0195647	+	0.0166515i
$742$	47.3722	+	27.8722i	1.73909	+	1.02322i
$743$	−9.98623	+	37.2691i	−0.366359	+	1.36727i	0.499210	+	0.866481i	$0.333624\pi$
$743$	−9.98623	+	37.2691i	−0.366359	+	1.36727i	−0.865569	+	0.500790i	$0.833043\pi$
$744$	−11.6934	+	7.15328i	−0.428702	+	0.262252i
$745$			7.87752i			0.288610i
$746$	−1.04174	+	3.88782i	−0.0381408	+	0.142343i
$747$	3.71271	+	3.35338i	0.135841	+	0.122694i
$748$	3.95490	−	1.05971i	0.144605	−	0.0387469i
$749$	−4.68291	+	16.9191i	−0.171110	+	0.618212i
$750$	−21.6931	+	0.551221i	−0.792120	+	0.0201277i
$751$		−	32.1316i		−	1.17250i	−0.810131	−	0.586249i	$-0.800604\pi$
$751$		−	32.1316i		−	1.17250i	0.810131	−	0.586249i	$-0.199396\pi$
$752$	6.43702	+	24.0233i	0.234734	+	0.876039i
$753$	12.1073	−	22.2576i	0.441213	−	0.811113i
$754$	−19.5840	+	15.8280i	−0.713207	+	0.576422i
$755$		−	0.0427984i		−	0.00155759i
$756$	−6.35630	+	32.3851i	−0.231176	+	1.17784i
$757$	−14.6719	−	25.4125i	−0.533261	−	0.923635i	−0.999245	−	0.0388418i	$-0.987633\pi$
$757$	−14.6719	−	25.4125i	−0.533261	−	0.923635i	0.465985	−	0.884793i	$-0.345700\pi$
$758$	−3.27467	−	5.67189i	−0.118941	−	0.206012i
$759$	−4.02052	−	13.6118i	−0.145936	−	0.494077i
$760$	0.0413401	−	0.0413401i	0.00149956	−	0.00149956i
$761$	8.06689	+	2.16152i	0.292425	+	0.0783549i	0.402049	−	0.915618i	$-0.368298\pi$
$761$	8.06689	+	2.16152i	0.292425	+	0.0783549i	−0.109624	+	0.993973i	$0.534965\pi$
$762$	33.7474	+	8.12972i	1.22254	+	0.294509i
$763$	−2.37208	−	1.39565i	−0.0858750	−	0.0505260i
$764$	−23.9619	−	41.5032i	−0.866911	−	1.50153i
$765$	−1.73432	+	0.560541i	−0.0627044	+	0.0202664i
$766$	−7.22809	+	4.17314i	−0.261162	+	0.150782i
$767$	−6.46821	−	41.0915i	−0.233553	−	1.48373i
$768$	13.5378	−	0.343994i	0.488502	−	0.0124128i
$769$	−35.5503	−	9.52567i	−1.28198	−	0.343504i	−0.447368	−	0.894350i	$-0.647639\pi$
$769$	−35.5503	−	9.52567i	−1.28198	−	0.343504i	−0.834607	+	0.550845i	$0.814305\pi$
$770$	3.04902	−	5.18218i	0.109879	−	0.186753i
$771$	34.3442	−	0.872684i	1.23688	−	0.0314289i
$772$	10.8969	+	40.6678i	0.392189	+	1.46367i
$773$	23.0221	+	23.0221i	0.828048	+	0.828048i	0.987247	−	0.159198i	$-0.0508909\pi$
$773$	23.0221	+	23.0221i	0.828048	+	0.828048i	−0.159198	+	0.987247i	$0.550891\pi$
$774$	9.47933	+	29.3291i	0.340728	+	1.05421i
$775$	41.9715	−	11.2462i	1.50766	−	0.403976i
$776$	0.987668	+	0.570230i	0.0354552	+	0.0204701i
$777$	−10.3567	−	17.2471i	−0.371545	−	0.618735i
$778$	−2.11249	+	7.88392i	−0.0757364	+	0.282652i
$779$	0.148944	−	0.257979i	0.00533648	−	0.00924305i
$780$	−8.77347	−	3.12390i	−0.314141	−	0.111854i
$781$	4.78247	+	8.28348i	0.171130	+	0.296406i
$782$	−6.81688	−	6.81688i	−0.243771	−	0.243771i
$783$	14.2792	−	9.76501i	0.510298	−	0.348973i
$784$	18.2412	+	10.9354i	0.651471	+	0.390550i
$785$	4.97197	+	4.97197i	0.177457	+	0.177457i
$786$	−14.6214	−	49.5019i	−0.521527	−	1.76567i
$787$	−30.1437	−	30.1437i	−1.07451	−	1.07451i	−0.996991	−	0.0775168i	$-0.975301\pi$
$787$	−30.1437	−	30.1437i	−1.07451	−	1.07451i	−0.0775168	−	0.996991i	$-0.524699\pi$
$788$	0.740928	+	0.198531i	0.0263945	+	0.00707238i
$789$	−38.0947	−	20.7220i	−1.35621	−	0.737723i
$790$	−6.98176	+	4.03092i	−0.248400	+	0.143414i
$791$	−34.3053	−	34.8741i	−1.21975	−	1.23998i
$792$	−3.91441	−	2.00214i	−0.139092	−	0.0711431i
$793$	43.1296	+	4.57457i	1.53158	+	0.162448i
$794$	67.3871	−	38.9059i	2.39148	−	1.38072i
$795$	7.34060	−	7.72337i	0.260344	−	0.273920i
$796$	34.6726			1.22894
$797$	−22.6031	+	39.1498i	−0.800644	+	1.38676i	0.118549	+	0.992948i	$0.462176\pi$
$797$	−22.6031	+	39.1498i	−0.800644	+	1.38676i	−0.919193	+	0.393808i	$0.871158\pi$
$798$	0.296455	+	1.03492i	0.0104944	+	0.0366358i
$799$	2.07207	+	7.73308i	0.0733047	+	0.273577i
$800$	35.8974	+	9.61868i	1.26917	+	0.340072i
$801$	−10.9759	+	12.1520i	−0.387814	+	0.429370i
$802$	−13.5721			−0.479247
$803$	1.72132			0.0607439
$804$	−30.9026	+	9.12770i	−1.08985	+	0.321909i
$805$	−7.72266	−	0.0635007i	−0.272188	−	0.00223811i
$806$	70.8309	+	7.51272i	2.49491	+	0.264624i
$807$	0.760169	+	29.9162i	0.0267592	+	1.05310i
$808$	−0.512528	−	1.91278i	−0.0180307	−	0.0672914i
$809$	41.4214	+	23.9146i	1.45630	+	0.840794i	0.998827	−	0.0484311i	$-0.0154221\pi$
$809$	41.4214	+	23.9146i	1.45630	+	0.840794i	0.457471	+	0.889225i	$0.348755\pi$
$810$	10.6995	+	4.80354i	0.375942	+	0.168779i
$811$	−29.2062	+	29.2062i	−1.02557	+	1.02557i	−0.0259054	+	0.999664i	$0.508247\pi$
$811$	−29.2062	+	29.2062i	−1.02557	+	1.02557i	−0.999664	+	0.0259054i	$0.991753\pi$
$812$	5.30461	+	20.4688i	0.186155	+	0.718315i
$813$	14.2108	+	13.5065i	0.498393	+	0.473693i
$814$	15.5129	−	4.15666i	0.543725	−	0.145691i
$815$		−	10.4929i		−	0.367550i
$816$	5.14510	−	0.130737i	0.180115	−	0.00457670i
$817$	0.387834	+	0.387834i	0.0135686	+	0.0135686i
$818$	−56.7453			−1.98405
$819$	21.4716	−	18.9201i	0.750278	−	0.661123i
$820$	3.96686			0.138529
$821$	4.60613	+	4.60613i	0.160755	+	0.160755i	0.782901	−	0.622146i	$-0.213739\pi$
$821$	4.60613	+	4.60613i	0.160755	+	0.160755i	−0.622146	+	0.782901i	$0.713739\pi$
$822$	61.4532	−	1.56152i	2.14343	−	0.0544643i
$823$		−	41.9796i		−	1.46332i	−0.681671	−	0.731658i	$-0.738747\pi$
$823$		−	41.9796i		−	1.46332i	0.681671	−	0.731658i	$-0.261253\pi$
$824$	−13.9369	+	3.73438i	−0.485515	+	0.130093i
$825$	10.1021	+	9.60144i	0.351710	+	0.334279i
$826$	−61.7124	−	17.0808i	−2.14725	−	0.594319i
$827$	21.7969	−	21.7969i	0.757954	−	0.757954i	−0.217996	−	0.975950i	$-0.569952\pi$
$827$	21.7969	−	21.7969i	0.757954	−	0.757954i	0.975950	+	0.217996i	$0.0699519\pi$
$828$	1.71868	+	33.7972i	0.0597282	+	1.17453i
$829$	17.0855	+	9.86431i	0.593404	+	0.342602i	0.766442	−	0.642313i	$-0.222025\pi$
$829$	17.0855	+	9.86431i	0.593404	+	0.342602i	−0.173039	+	0.984915i	$0.555359\pi$
$830$	0.562461	+	2.09913i	0.0195233	+	0.0728619i
$831$	−0.222584	−	8.75972i	−0.00772135	−	0.303871i
$832$	31.5386	+	22.9600i	1.09340	+	0.795994i
$833$	5.87183	+	3.52010i	0.203447	+	0.121964i
$834$	−8.13481	+	2.40278i	−0.281685	+	0.0832014i
$835$	10.5214			0.364109
$836$	−0.468824			−0.0162146
$837$	−48.0931	−	9.02931i	−1.66234	−	0.312099i
$838$	−65.4899	−	17.5480i	−2.26231	−	0.606185i
$839$	−11.3364	−	42.3080i	−0.391376	−	1.46064i	−0.827866	−	0.560926i	$-0.810445\pi$
$839$	−11.3364	−	42.3080i	−0.391376	−	1.46064i	0.436490	−	0.899709i	$-0.356222\pi$
$840$	−1.66236	+	1.72049i	−0.0573568	+	0.0593625i
$841$	−8.95830	+	15.5162i	−0.308907	+	0.535043i
$842$	−60.9307			−2.09981
$843$	24.7781	−	26.0702i	0.853404	−	0.897904i
$844$	−41.4365	+	23.9234i	−1.42630	+	0.823476i
$845$	4.38544	+	6.78119i	0.150864	+	0.233280i
$846$	23.4588	−	45.8645i	0.806531	−	1.57686i
$847$	20.3837	−	5.28254i	0.700391	−	0.181510i
$848$	−26.0571	+	15.0440i	−0.894803	+	0.516615i
$849$	−10.6209	−	5.77732i	−0.364507	−	0.198277i
$850$	9.14396	+	2.45012i	0.313635	+	0.0840383i
$851$	−14.5865	−	14.5865i	−0.500019	−	0.500019i
$852$	−6.46022	−	21.8716i	−0.221323	−	0.749309i
$853$	−7.91452	−	7.91452i	−0.270988	−	0.270988i	0.558510	−	0.829498i	$-0.311373\pi$
$853$	−7.91452	−	7.91452i	−0.270988	−	0.270988i	−0.829498	+	0.558510i	$0.811373\pi$
$854$	33.8560	−	57.5425i	1.15853	−	1.96906i
$855$	0.208431	−	0.0105993i	0.00712817	−	0.000362487i
$856$	3.94302	+	3.94302i	0.134770	+	0.134770i
$857$	−0.222813	−	0.385924i	−0.00761116	−	0.0131829i	0.862195	−	0.506577i	$-0.169089\pi$
$857$	−0.222813	−	0.385924i	−0.00761116	−	0.0131829i	−0.869806	+	0.493394i	$0.835756\pi$
$858$	9.79986	+	20.6374i	0.334562	+	0.704551i
$859$	26.7847	−	46.3924i	0.913881	−	1.58289i	0.105350	−	0.994435i	$-0.466404\pi$
$859$	26.7847	−	46.3924i	0.913881	−	1.58289i	0.808531	−	0.588453i	$-0.200263\pi$
$860$	−1.89039	+	7.05502i	−0.0644617	+	0.240574i
$861$	−5.91264	+	10.6599i	−0.201502	+	0.363287i
$862$	−60.5836	−	34.9780i	−2.06349	−	1.19135i
$863$	38.7543	−	10.3842i	1.31921	−	0.353481i	0.470529	−	0.882385i	$-0.344063\pi$
$863$	38.7543	−	10.3842i	1.31921	−	0.353481i	0.848682	+	0.528903i	$0.177397\pi$
$864$	−31.7610	−	27.2545i	−1.08053	−	0.927218i
$865$	11.2856	+	11.2856i	0.383723	+	0.383723i
$866$	−7.28654	−	27.1938i	−0.247607	−	0.924081i
$867$	−27.7792	+	0.705867i	−0.943430	+	0.0239725i
$868$	30.3314	−	51.5519i	1.02951	−	1.74978i
$869$	10.4209	+	2.79228i	0.353506	+	0.0947217i
$870$	7.51190	−	0.190877i	0.254677	−	0.00647133i
$871$	26.0759	+	10.0381i	0.883548	+	0.340126i
$872$	−0.757090	+	0.437106i	−0.0256383	+	0.0148023i
$873$	1.25204	+	3.87383i	0.0423753	+	0.131109i
$874$	0.551936	+	0.955981i	0.0186695	+	0.0323366i
$875$	13.7489	−	7.78788i	0.464796	−	0.263278i
$876$	−3.99000	−	0.961187i	−0.134810	−	0.0324755i
$877$	9.67829	+	2.59329i	0.326813	+	0.0875692i	0.418495	−	0.908219i	$-0.362558\pi$
$877$	9.67829	+	2.59329i	0.326813	+	0.0875692i	−0.0916823	+	0.995788i	$0.529224\pi$
$878$	23.5034	−	23.5034i	0.793201	−	0.793201i
$879$	−4.37497	−	14.8118i	−0.147564	−	0.499591i
$880$	1.64571	+	2.85046i	0.0554770	+	0.0960890i
$881$	8.94972	+	15.5014i	0.301524	+	0.522254i	0.976481	−	0.215602i	$-0.0691714\pi$
$881$	8.94972	+	15.5014i	0.301524	+	0.522254i	−0.674958	+	0.737857i	$0.735838\pi$
$882$	−12.8570	−	42.1351i	−0.432918	−	1.41876i
$883$		−	5.02849i		−	0.169222i	−0.996414	−	0.0846112i	$-0.973035\pi$
$883$		−	5.02849i		−	0.169222i	0.996414	−	0.0846112i	$-0.0269648\pi$
$884$	6.84382	+	4.98228i	0.230183	+	0.167572i
$885$	−5.93163	+	10.9045i	−0.199390	+	0.366552i
$886$	11.7917	+	44.0074i	0.396151	+	1.47846i
$887$			20.0464i			0.673091i	0.941667	+	0.336545i	$0.109259\pi$
$887$			20.0464i			0.673091i	−0.941667	+	0.336545i	$0.890741\pi$
$888$	−6.38816	+	0.162323i	−0.214373	+	0.00544720i
$889$	−24.4684	+	6.34113i	−0.820645	+	0.212675i
$890$	−6.87064	+	1.84098i	−0.230305	+	0.0617099i
$891$	−5.57915	−	14.6700i	−0.186908	−	0.491464i
$892$	−1.40360	+	5.23830i	−0.0469960	+	0.175391i
$893$		−	0.916700i		−	0.0306762i
$894$	−39.3046	+	24.0440i	−1.31454	+	0.804150i
$895$	3.75758	−	14.0235i	0.125602	−	0.468754i
$896$	15.1669	−	8.59111i	0.506690	−	0.287009i
$897$	16.6627	−	24.1550i	0.556352	−	0.806511i
$898$	−8.41787	+	14.5802i	−0.280908	+	0.486547i
$899$	−30.2833	+	8.11439i	−1.01001	+	0.270630i
$900$	−18.0552	−	27.8971i	−0.601838	−	0.929904i
$901$	−8.38775	+	4.84267i	−0.279436	+	0.161333i
$902$	−6.88100	−	6.88100i	−0.229112	−	0.229112i
$903$	−16.1408	−	15.5955i	−0.537133	−	0.518985i
$904$	−15.0092	+	4.02170i	−0.499198	+	0.133760i
$905$	0.619136	+	2.31065i	0.0205808	+	0.0768085i
$906$	0.213541	−	0.130630i	0.00709442	−	0.00433990i
$907$	28.0606	+	16.2008i	0.931738	+	0.537939i	0.887361	−	0.461076i	$-0.152536\pi$
$907$	28.0606	+	16.2008i	0.931738	+	0.537939i	0.0443773	+	0.999015i	$0.485870\pi$
$908$	−9.82733	+	9.82733i	−0.326131	+	0.326131i
$909$	3.21901	−	6.29352i	0.106768	−	0.208743i
$910$	12.2955	−	1.83196i	0.407591	−	0.0607288i
$911$		−	2.43718i		−	0.0807475i	−0.999185	−	0.0403737i	$-0.987145\pi$
$911$		−	2.43718i		−	0.0807475i	0.999185	−	0.0403737i	$-0.0128549\pi$
$912$	−0.572932	−	0.138019i	−0.0189717	−	0.00457026i
$913$	1.45410	−	2.51858i	0.0481238	−	0.0833528i
$914$	−3.20980			−0.106171
$915$	−9.38150	−	8.91655i	−0.310143	−	0.294772i
$916$	3.30883	+	12.3487i	0.109327	+	0.408013i
$917$	26.3573	+	26.7944i	0.870395	+	0.884828i
$918$	−8.09032	−	6.94241i	−0.267020	−	0.229134i
$919$	−24.7632	−	42.8911i	−0.816863	−	1.41485i	−0.907983	−	0.419008i	$-0.862378\pi$
$919$	−24.7632	−	42.8911i	−0.816863	−	1.41485i	0.0911202	−	0.995840i	$-0.470955\pi$
$920$	−1.22656	+	2.12446i	−0.0404385	+	0.0700415i
$921$	32.6371	+	31.0196i	1.07543	+	1.02213i
$922$	−46.8606	−	27.0550i	−1.54327	−	0.891008i
$923$	−7.10453	+	18.4555i	−0.233849	+	0.607469i
$924$	19.1818	−	0.329615i	0.631036	−	0.0108435i
$925$	19.5659	+	5.24267i	0.643324	+	0.172378i
$926$			82.2425i			2.70266i
$927$	−45.8559	−	23.4544i	−1.50610	−	0.770343i
$928$	−25.9008	−	6.94009i	−0.850234	−	0.227819i
$929$	−10.7170	+	39.9962i	−0.351612	+	1.31223i	0.533083	+	0.846063i	$0.321033\pi$
$929$	−10.7170	+	39.9962i	−0.351612	+	1.31223i	−0.884695	+	0.466171i	$0.845633\pi$
$930$	−15.4070	−	14.6434i	−0.505216	−	0.480178i
$931$	−0.545114	−	0.563344i	−0.0178654	−	0.0184629i
$932$	32.1850	+	18.5820i	1.05426	+	0.608675i
$933$	−10.0429	−	16.4171i	−0.328790	−	0.537472i
$934$	12.3462	−	3.30816i	0.403981	−	0.108246i
$935$	0.529754	+	0.917561i	0.0173248	+	0.0300075i
$936$	−1.86773	−	8.89637i	−0.0610487	−	0.290787i
$937$	−25.0679			−0.818932			−0.409466	−	0.912325i	$-0.634285\pi$
$937$	−25.0679			−0.818932			−0.409466	+	0.912325i	$0.634285\pi$
$938$	30.6625	−	30.1623i	1.00116	−	0.984835i
$939$	28.5952	−	52.5686i	0.933169	−	1.71551i
$940$	10.5719	−	6.10366i	0.344816	−	0.199080i
$941$	11.1399	−	41.5746i	0.363150	−	1.35529i	−0.506762	−	0.862086i	$-0.669158\pi$
$941$	11.1399	−	41.5746i	0.363150	−	1.35529i	0.869912	−	0.493208i	$-0.164176\pi$
$942$	−9.63187	+	39.9830i	−0.313823	+	1.30272i
$943$	−3.23505	+	12.0734i	−0.105348	+	0.393163i
$944$	24.7860	−	24.7860i	0.806716	−	0.806716i
$945$	−8.52044	+	0.580207i	−0.277170	+	0.0188741i
$946$	15.5169	−	8.95869i	0.504498	−	0.291272i
$947$	−2.14097	+	2.14097i	−0.0695722	+	0.0695722i	−0.741037	−	0.671465i	$-0.765666\pi$
$947$	−2.14097	+	2.14097i	−0.0695722	+	0.0695722i	0.671465	+	0.741037i	$0.265666\pi$
$948$	−22.5965	−	12.2916i	−0.733899	−	0.399212i
$949$	2.23703	+	2.76788i	0.0726170	+	0.0898491i
$950$	−0.938728	−	0.541975i	−0.0304564	−	0.0175840i
$951$	−41.3615	+	12.2170i	−1.34124	+	0.396162i
$952$	1.89215	−	1.07178i	0.0613248	−	0.0347367i
$953$	−13.3576	+	23.1361i	−0.432697	+	0.749453i	−0.997104	−	0.0760435i	$-0.975771\pi$
$953$	−13.3576	+	23.1361i	−0.432697	+	0.749453i	0.564408	+	0.825496i	$0.309105\pi$
$954$	60.9406	+	13.0521i	1.97302	+	0.422579i
$955$	8.76898	−	8.76898i	0.283758	−	0.283758i
$956$	−36.1723	+	36.1723i	−1.16990	+	1.16990i
$957$	−7.28889	−	6.92765i	−0.235616	−	0.223939i
$958$	−2.24022	+	3.88018i	−0.0723784	+	0.125363i
$959$	−38.9484	+	22.0619i	−1.25771	+	0.712414i
$960$	−3.29771	−	11.1647i	−0.106433	−	0.360338i
$961$	49.9561	+	28.8421i	1.61149	+	0.930392i
$962$	26.8445	+	19.5427i	0.865501	+	0.630082i
$963$	1.01096	+	19.8801i	0.0325776	+	0.640627i
$964$	−3.64816	+	3.64816i	−0.117499	+	0.117499i
$965$	−9.43520	+	5.44741i	−0.303730	+	0.175358i
$966$	−23.2545	−	38.7257i	−0.748201	−	1.24598i
$967$	9.06012	−	9.06012i	0.291354	−	0.291354i	−0.546261	−	0.837615i	$-0.683949\pi$
$967$	9.06012	−	9.06012i	0.291354	−	0.291354i	0.837615	+	0.546261i	$0.183949\pi$
$968$	1.73113	−	6.46068i	0.0556407	−	0.207654i
$969$	−0.184426	−	0.0444281i	−0.00592463	−	0.00142724i
$970$	−0.457702	+	1.70817i	−0.0146959	+	0.0548460i
$971$	9.45941	−	5.46139i	0.303567	−	0.175264i	−0.340477	−	0.940253i	$-0.610589\pi$
$971$	9.45941	−	5.46139i	0.303567	−	0.175264i	0.644044	+	0.764988i	$0.277255\pi$
$972$	4.74065	+	37.1204i	0.152056	+	1.19064i
$973$	4.40321	−	4.33138i	0.141160	−	0.138858i
$974$	55.7027			1.78483
$975$	−2.31039	+	28.7223i	−0.0739917	+	0.919849i
$976$	18.2739	+	31.6512i	0.584932	+	1.01313i
$977$	−31.0657	+	8.32403i	−0.993879	+	0.266309i	−0.718879	−	0.695135i	$-0.755345\pi$
$977$	−31.0657	+	8.32403i	−0.993879	+	0.266309i	−0.275000	+	0.961444i	$0.588678\pi$
$978$	52.3539	−	32.0267i	1.67409	−	1.02410i
$979$	8.24354	+	4.75941i	0.263465	+	0.152111i
$980$	2.86724	−	10.0375i	0.0915907	−	0.320635i
$981$	−3.05150	−	0.653564i	−0.0974268	−	0.0208667i
$982$	0.977117	−	3.64665i	0.0311811	−	0.116369i
$983$	−53.3947	−	14.3071i	−1.70303	−	0.456325i	−0.729329	−	0.684164i	$-0.760167\pi$
$983$	−53.3947	−	14.3071i	−1.70303	−	0.456325i	−0.973699	+	0.227839i	$0.926834\pi$
$984$	2.02055	+	3.30299i	0.0644128	+	0.105295i
$985$			0.198493i			0.00632452i
$986$	−6.59757	−	1.76781i	−0.210109	−	0.0562986i
$987$	0.644502	+	37.5066i	0.0205147	+	1.19385i
$988$	−0.609286	−	0.753870i	−0.0193840	−	0.0239838i
$989$	−19.9307	−	11.5070i	−0.633761	−	0.365902i
$990$	1.42781	−	6.66648i	0.0453789	−	0.211875i
$991$	−1.57854	+	2.73411i	−0.0501440	+	0.0868519i	−0.890008	−	0.455945i	$-0.849301\pi$
$991$	−1.57854	+	2.73411i	−0.0501440	+	0.0868519i	0.839864	+	0.542797i	$0.182635\pi$
$992$	37.9250	+	65.6880i	1.20412	+	2.08560i
$993$	−13.7512	−	3.31266i	−0.436382	−	0.105124i
$994$	21.3477	+	21.7017i	0.677108	+	0.688335i
$995$	2.32218	+	8.66648i	0.0736180	+	0.274746i
$996$	−4.77698	+	5.02608i	−0.151365	+	0.159257i
$997$	36.9998			1.17179			0.585897	−	0.810385i	$-0.300742\pi$
$997$	36.9998			1.17179			0.585897	+	0.810385i	$0.300742\pi$
$998$	12.4799	−	21.6158i	0.395043	−	0.684235i
$999$	−17.3114	−	14.8551i	−0.547708	−	0.469995i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	273.2.bv.b.2.5	✓	128
3.2	odd	2	inner	273.2.bv.b.2.28	yes	128
7.4	even	3		273.2.bw.b.158.28	yes	128
13.7	odd	12		273.2.bw.b.254.5	yes	128
21.11	odd	6		273.2.bw.b.158.5	yes	128
39.20	even	12		273.2.bw.b.254.28	yes	128
91.46	odd	12	inner	273.2.bv.b.137.28	yes	128
273.137	even	12	inner	273.2.bv.b.137.5	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
273.2.bv.b.2.5	✓	128	1.1	even	1	trivial
273.2.bv.b.2.28	yes	128	3.2	odd	2	inner
273.2.bv.b.137.5	yes	128	273.137	even	12	inner
273.2.bv.b.137.28	yes	128	91.46	odd	12	inner
273.2.bw.b.158.5	yes	128	21.11	odd	6
273.2.bw.b.158.28	yes	128	7.4	even	3
273.2.bw.b.254.5	yes	128	13.7	odd	12
273.2.bw.b.254.28	yes	128	39.20	even	12

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:	\( N \)	\(=\)	\( 273 = 3 \cdot 7 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	273.bv (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.48334 - 1.48334i) q^{2} +(1.73149 - 0.0439971i) q^{3} +2.40062i q^{4} +(-0.600039 + 0.160780i) q^{5} +(-2.63366 - 2.50313i) q^{6} +(2.54988 + 0.705761i) q^{7} +(0.594253 - 0.594253i) q^{8} +(2.99613 - 0.152361i) q^{9} +O(q^{10})\)	\(q+(-1.48334 - 1.48334i) q^{2} +(1.73149 - 0.0439971i) q^{3} +2.40062i q^{4} +(-0.600039 + 0.160780i) q^{5} +(-2.63366 - 2.50313i) q^{6} +(2.54988 + 0.705761i) q^{7} +(0.594253 - 0.594253i) q^{8} +(2.99613 - 0.152361i) q^{9} +(1.12856 + 0.651572i) q^{10} +(-0.451355 - 1.68448i) q^{11} +(0.105620 + 4.15665i) q^{12} +(2.12206 - 2.91494i) q^{13} +(-2.73547 - 4.82924i) q^{14} +(-1.03189 + 0.304789i) q^{15} +3.03827 q^{16} +0.978018 q^{17} +(-4.67029 - 4.21828i) q^{18} +(-0.108171 - 0.0289842i) q^{19} +(-0.385971 - 1.44046i) q^{20} +(4.44615 + 1.10983i) q^{21} +(-1.82915 + 3.16818i) q^{22} +4.69891 q^{23} +(1.00280 - 1.05509i) q^{24} +(-3.99593 + 2.30705i) q^{25} +(-7.47160 + 1.17610i) q^{26} +(5.18107 - 0.395633i) q^{27} +(-1.69426 + 6.12129i) q^{28} +(2.88315 - 1.66459i) q^{29} +(1.98275 + 1.07854i) q^{30} +(-9.09635 - 2.43736i) q^{31} +(-5.69531 - 5.69531i) q^{32} +(-0.855629 - 2.89680i) q^{33} +(-1.45074 - 1.45074i) q^{34} +(-1.64350 - 0.0135139i) q^{35} +(0.365761 + 7.19256i) q^{36} +(-3.10423 - 3.10423i) q^{37} +(0.117461 + 0.203448i) q^{38} +(3.54609 - 5.14055i) q^{39} +(-0.261031 + 0.452119i) q^{40} +(-0.688469 + 2.56940i) q^{41} +(-4.94891 - 8.24143i) q^{42} +(-4.24157 - 2.44887i) q^{43} +(4.04379 - 1.08353i) q^{44} +(-1.77330 + 0.573140i) q^{45} +(-6.97010 - 6.97010i) q^{46} +(2.11865 + 7.90689i) q^{47} +(5.26074 - 0.133675i) q^{48} +(6.00380 + 3.59921i) q^{49} +(9.34949 + 2.50519i) q^{50} +(1.69343 - 0.0430299i) q^{51} +(6.99764 + 5.09426i) q^{52} +(-8.57627 + 4.95151i) q^{53} +(-8.27217 - 7.09845i) q^{54} +(0.541661 + 0.938184i) q^{55} +(1.93467 - 1.09587i) q^{56} +(-0.188572 - 0.0454267i) q^{57} +(-6.74586 - 1.80755i) q^{58} +(8.15793 - 8.15793i) q^{59} +(-0.731682 - 2.47717i) q^{60} +(6.01455 + 10.4175i) q^{61} +(9.87757 + 17.1085i) q^{62} +(7.74731 + 1.72605i) q^{63} +10.8197i q^{64} +(-0.804657 + 2.09026i) q^{65} +(-3.02776 + 5.56615i) q^{66} +(2.00572 + 7.48545i) q^{67} +2.34785i q^{68} +(8.13612 - 0.206738i) q^{69} +(2.41783 + 2.45792i) q^{70} +(-5.29791 + 1.41957i) q^{71} +(1.68992 - 1.87100i) q^{72} +(-0.255467 + 0.953416i) q^{73} +9.20929i q^{74} +(-6.81742 + 4.17045i) q^{75} +(0.0695800 - 0.259676i) q^{76} +(0.0379374 - 4.61377i) q^{77} +(-12.8853 + 2.36514i) q^{78} +(-3.09322 + 5.35762i) q^{79} +(-1.82308 + 0.488493i) q^{80} +(8.95357 - 0.912988i) q^{81} +(4.83254 - 2.79007i) q^{82} +(1.17920 + 1.17920i) q^{83} +(-2.66428 + 10.6735i) q^{84} +(-0.586849 + 0.157246i) q^{85} +(2.65919 + 9.92422i) q^{86} +(4.91891 - 3.00907i) q^{87} +(-1.26922 - 0.732787i) q^{88} +(-3.85963 + 3.85963i) q^{89} +(3.48057 + 1.78025i) q^{90} +(7.46826 - 5.93508i) q^{91} +11.2803i q^{92} +(-15.8575 - 3.82005i) q^{93} +(8.58596 - 14.8713i) q^{94} +0.0695666 q^{95} +(-10.1120 - 9.61080i) q^{96} +(0.351229 + 1.31080i) q^{97} +(-3.56683 - 14.2446i) q^{98} +(-1.60897 - 4.97815i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9}+O(q^{10}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9	\( 128 q + 2 q^{3} - 4 q^{6} - 16 q^{7} + 8 q^{9} - 12 q^{10} + 48 q^{12} - 16 q^{13} - 6 q^{15} - 64 q^{16} - 2 q^{18} - 4 q^{19} - 6 q^{21} - 8 q^{22} + 2 q^{24} - 40 q^{27} + 68 q^{28} + 18 q^{30} + 20 q^{31} - 16 q^{33} - 48 q^{34} - 60 q^{36} - 8 q^{37} + 4 q^{39} + 44 q^{40} + 2 q^{42} - 144 q^{43} - 2 q^{45} - 24 q^{46} - 64 q^{48} - 60 q^{49} - 36 q^{51} + 48 q^{52} + 14 q^{54} - 16 q^{55} + 40 q^{57} + 44 q^{58} - 58 q^{60} + 20 q^{61} + 14 q^{63} - 34 q^{66} - 84 q^{67} - 54 q^{69} - 104 q^{70} + 46 q^{72} - 48 q^{73} + 144 q^{76} + 82 q^{78} - 24 q^{79} + 24 q^{81} + 36 q^{82} + 184 q^{84} + 56 q^{85} + 4 q^{87} + 132 q^{88} + 24 q^{91} + 16 q^{93} - 16 q^{94} - 90 q^{96} + 52 q^{97} - 10 q^{99}+O(q^{100}) \) 128 * q + 2 * q^3 - 4 * q^6 - 16 * q^7 + 8 * q^9 - 12 * q^10 + 48 * q^12 - 16 * q^13 - 6 * q^15 - 64 * q^16 - 2 * q^18 - 4 * q^19 - 6 * q^21 - 8 * q^22 + 2 * q^24 - 40 * q^27 + 68 * q^28 + 18 * q^30 + 20 * q^31 - 16 * q^33 - 48 * q^34 - 60 * q^36 - 8 * q^37 + 4 * q^39 + 44 * q^40 + 2 * q^42 - 144 * q^43 - 2 * q^45 - 24 * q^46 - 64 * q^48 - 60 * q^49 - 36 * q^51 + 48 * q^52 + 14 * q^54 - 16 * q^55 + 40 * q^57 + 44 * q^58 - 58 * q^60 + 20 * q^61 + 14 * q^63 - 34 * q^66 - 84 * q^67 - 54 * q^69 - 104 * q^70 + 46 * q^72 - 48 * q^73 + 144 * q^76 + 82 * q^78 - 24 * q^79 + 24 * q^81 + 36 * q^82 + 184 * q^84 + 56 * q^85 + 4 * q^87 + 132 * q^88 + 24 * q^91 + 16 * q^93 - 16 * q^94 - 90 * q^96 + 52 * q^97 - 10 * q^99

Introduction

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