LMFDB - Embedded newform 336.2.bu.a.179.22

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [336,2,Mod(11,336)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(336, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 3, 6, 8]))

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

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

chi := DirichletCharacter("336.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 336 = 2^{4} \cdot 3 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	336.bu (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:	$2.68297350792$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$60$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			179.22
Character	$\chi$	$=$	336.179
Dual form			336.2.bu.a.107.22

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.628974 + 1.26665i) q^{2} +(0.992245 + 1.41967i) q^{3} +(-1.20878 - 1.59337i) q^{4} +(0.581063 - 2.16856i) q^{5} +(-2.42231 + 0.363891i) q^{6} +(2.64341 - 0.111231i) q^{7} +(2.77853 - 0.528909i) q^{8} +(-1.03090 + 2.81731i) q^{9} +O(q^{10})$	\(q+(-0.628974 + 1.26665i) q^{2} +(0.992245 + 1.41967i) q^{3} +(-1.20878 - 1.59337i) q^{4} +(0.581063 - 2.16856i) q^{5} +(-2.42231 + 0.363891i) q^{6} +(2.64341 - 0.111231i) q^{7} +(2.77853 - 0.528909i) q^{8} +(-1.03090 + 2.81731i) q^{9} +(2.38132 + 2.09997i) q^{10} +(-0.662589 - 2.47281i) q^{11} +(1.06265 - 3.29709i) q^{12} +(3.60597 + 3.60597i) q^{13} +(-1.52175 + 3.41823i) q^{14} +(3.65518 - 1.32683i) q^{15} +(-1.07769 + 3.85209i) q^{16} +(-0.577879 - 0.333639i) q^{17} +(-2.92013 - 3.07780i) q^{18} +(2.22681 + 0.596672i) q^{19} +(-4.15770 + 1.69546i) q^{20} +(2.78082 + 3.64239i) q^{21} +(3.54893 + 0.716071i) q^{22} +(4.57267 - 2.64003i) q^{23} +(3.50786 + 3.41978i) q^{24} +(-0.0348798 - 0.0201378i) q^{25} +(-6.83554 + 2.29942i) q^{26} +(-5.02254 + 1.33194i) q^{27} +(-3.37255 - 4.07749i) q^{28} +(-6.02878 + 6.02878i) q^{29} +(-0.618397 + 5.46436i) q^{30} +(-5.80669 - 3.35249i) q^{31} +(-4.20140 - 3.78791i) q^{32} +(2.85312 - 3.39429i) q^{33} +(0.786073 - 0.522118i) q^{34} +(1.29478 - 5.79702i) q^{35} +(5.73517 - 1.76291i) q^{36} +(-0.372828 - 0.0998989i) q^{37} +(-2.15638 + 2.44529i) q^{38} +(-1.54126 + 8.69727i) q^{39} +(0.467536 - 6.33274i) q^{40} -3.83344 q^{41} +(-6.36269 + 1.23135i) q^{42} +(-7.79933 - 7.79933i) q^{43} +(-3.13919 + 4.04485i) q^{44} +(5.51049 + 3.87260i) q^{45} +(0.467894 + 7.45246i) q^{46} +(4.70377 + 8.14716i) q^{47} +(-6.53801 + 2.29226i) q^{48} +(6.97526 - 0.588060i) q^{49} +(0.0474460 - 0.0315141i) q^{50} +(-0.0997428 - 1.15145i) q^{51} +(1.38682 - 10.1045i) q^{52} +(4.31668 - 1.15665i) q^{53} +(1.47196 - 7.19954i) q^{54} -5.74745 q^{55} +(7.28598 - 1.70718i) q^{56} +(1.36247 + 3.75337i) q^{57} +(-3.84438 - 11.4283i) q^{58} +(-1.28868 - 4.80943i) q^{59} +(-6.53245 - 4.22023i) q^{60} +(1.09245 - 4.07706i) q^{61} +(7.89868 - 5.24639i) q^{62} +(-2.41172 + 7.56199i) q^{63} +(7.44051 - 2.93918i) q^{64} +(9.91504 - 5.72445i) q^{65} +(2.50483 + 5.74881i) q^{66} +(-0.0569532 - 0.212552i) q^{67} +(0.166919 + 1.32408i) q^{68} +(8.28517 + 3.87210i) q^{69} +(6.52839 + 5.28620i) q^{70} +9.40185i q^{71} +(-1.37428 + 8.37325i) q^{72} +(6.57299 + 3.79492i) q^{73} +(0.361036 - 0.409407i) q^{74} +(-0.00602030 - 0.0694993i) q^{75} +(-1.74101 - 4.26939i) q^{76} +(-2.02655 - 6.46297i) q^{77} +(-10.0469 - 7.42259i) q^{78} +(2.76137 - 1.59428i) q^{79} +(7.72727 + 4.57533i) q^{80} +(-6.87450 - 5.80872i) q^{81} +(2.41113 - 4.85560i) q^{82} +(-12.3956 - 12.3956i) q^{83} +(2.44228 - 8.83376i) q^{84} +(-1.05930 + 1.05930i) q^{85} +(14.7846 - 4.97341i) q^{86} +(-14.5409 - 2.57682i) q^{87} +(-3.14892 - 6.52035i) q^{88} +(-0.636184 - 1.10190i) q^{89} +(-8.37116 + 4.54407i) q^{90} +(9.93315 + 9.13096i) q^{91} +(-9.73392 - 4.09475i) q^{92} +(-1.00224 - 11.5700i) q^{93} +(-13.2781 + 0.833652i) q^{94} +(2.58784 - 4.48227i) q^{95} +(1.20875 - 9.72311i) q^{96} -1.71851 q^{97} +(-3.64239 + 9.20505i) q^{98} +(7.64975 + 0.682500i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	$ 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) $ 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/336\mathbb{Z}\right)^\times$.

$n$	$85$	$113$	$127$	$241$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$-1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−0.628974	+	1.26665i	−0.444752	+	0.895654i
$2$	−0.628974	+	1.26665i	−0.444752	+	0.895654i
$3$	0.992245	+	1.41967i	0.572873	+	0.819644i
$3$	0.992245	+	1.41967i	0.572873	+	0.819644i
$4$	−1.20878	−	1.59337i	−0.604392	−	0.796687i
$5$	0.581063	−	2.16856i	0.259859	−	0.969808i	−0.705463	−	0.708747i	$-0.749261\pi$
$5$	0.581063	−	2.16856i	0.259859	−	0.969808i	0.965322	−	0.261061i	$-0.0840725\pi$
$6$	−2.42231	+	0.363891i	−0.988904	+	0.148558i
$7$	2.64341	−	0.111231i	0.999116	−	0.0420415i
$7$	2.64341	−	0.111231i	0.999116	−	0.0420415i
$8$	2.77853	−	0.528909i	0.982360	−	0.186997i
$9$	−1.03090	+	2.81731i	−0.343633	+	0.939104i
$10$	2.38132	+	2.09997i	0.753040	+	0.664068i
$11$	−0.662589	−	2.47281i	−0.199778	−	0.745582i	−0.990978	−	0.134024i	$-0.957210\pi$
$11$	−0.662589	−	2.47281i	−0.199778	−	0.745582i	0.791200	−	0.611557i	$-0.209457\pi$
$12$	1.06265	−	3.29709i	0.306760	−	0.951787i
$13$	3.60597	+	3.60597i	1.00012	+	1.00012i	1.00000		0.000115093i	$3.66354e-5\pi$
$13$	3.60597	+	3.60597i	1.00012	+	1.00012i	0.000115093		1.00000i	$0.499963\pi$
$14$	−1.52175	+	3.41823i	−0.406704	+	0.913560i
$15$	3.65518	−	1.32683i	0.943764	−	0.342585i
$16$	−1.07769	+	3.85209i	−0.269422	+	0.963022i
$17$	−0.577879	−	0.333639i	−0.140156	−	0.0809193i	0.428282	−	0.903645i	$-0.359119\pi$
$17$	−0.577879	−	0.333639i	−0.140156	−	0.0809193i	−0.568438	+	0.822726i	$0.692452\pi$
$18$	−2.92013	−	3.07780i	−0.688281	−	0.725444i
$19$	2.22681	+	0.596672i	0.510866	+	0.136886i	0.505038	−	0.863097i	$-0.331478\pi$
$19$	2.22681	+	0.596672i	0.510866	+	0.136886i	0.00582746	+	0.999983i	$0.498145\pi$
$20$	−4.15770	+	1.69546i	−0.929691	+	0.379117i
$21$	2.78082	+	3.64239i	0.606826	+	0.794835i
$22$	3.54893	+	0.716071i	0.756635	+	0.152667i
$23$	4.57267	−	2.64003i	0.953467	−	0.550484i	0.0593107	−	0.998240i	$-0.481110\pi$
$23$	4.57267	−	2.64003i	0.953467	−	0.550484i	0.894156	+	0.447755i	$0.147776\pi$
$24$	3.50786	+	3.41978i	0.716039	+	0.698060i
$25$	−0.0348798	−	0.0201378i	−0.00697596	−	0.00402757i
$26$	−6.83554	+	2.29942i	−1.34056	+	0.450954i
$27$	−5.02254	+	1.33194i	−0.966589	+	0.256331i
$28$	−3.37255	−	4.07749i	−0.637351	−	0.770574i
$29$	−6.02878	+	6.02878i	−1.11952	+	1.11952i	−0.127704	+	0.991812i	$0.540761\pi$
$29$	−6.02878	+	6.02878i	−1.11952	+	1.11952i	−0.991812	+	0.127704i	$0.959239\pi$
$30$	−0.618397	+	5.46436i	−0.112903	+	0.997651i
$31$	−5.80669	−	3.35249i	−1.04291	−	0.602126i	−0.122255	−	0.992499i	$-0.539013\pi$
$31$	−5.80669	−	3.35249i	−1.04291	−	0.602126i	−0.920657	+	0.390373i	$0.872346\pi$
$32$	−4.20140	−	3.78791i	−0.742709	−	0.669614i
$33$	2.85312	−	3.39429i	0.496664	−	0.590871i
$34$	0.786073	−	0.522118i	0.134810	−	0.0895426i
$35$	1.29478	−	5.79702i	0.218857	−	0.979876i
$36$	5.73517	−	1.76291i	0.955861	−	0.293819i
$37$	−0.372828	−	0.0998989i	−0.0612925	−	0.0164233i	0.228042	−	0.973651i	$-0.426767\pi$
$37$	−0.372828	−	0.0998989i	−0.0612925	−	0.0164233i	−0.289335	+	0.957228i	$0.593434\pi$
$38$	−2.15638	+	2.44529i	−0.349811	+	0.396678i
$39$	−1.54126	+	8.69727i	−0.246799	+	1.39268i
$40$	0.467536	−	6.33274i	0.0739239	−	1.00129i
$41$	−3.83344			−0.598682			−0.299341	−	0.954146i	$-0.596767\pi$
$41$	−3.83344			−0.598682			−0.299341	+	0.954146i	$0.596767\pi$
$42$	−6.36269	+	1.23135i	−0.981784	+	0.190001i
$43$	−7.79933	−	7.79933i	−1.18939	−	1.18939i	−0.977237	−	0.212150i	$-0.931953\pi$
$43$	−7.79933	−	7.79933i	−1.18939	−	1.18939i	−0.212150	−	0.977237i	$-0.568047\pi$
$44$	−3.13919	+	4.04485i	−0.473251	+	0.609784i
$45$	5.51049	+	3.87260i	0.821455	+	0.577293i
$46$	0.467894	+	7.45246i	0.0689873	+	1.09881i
$47$	4.70377	+	8.14716i	0.686115	+	1.18839i	0.973085	+	0.230446i	$0.0740186\pi$
$47$	4.70377	+	8.14716i	0.686115	+	1.18839i	−0.286970	+	0.957940i	$0.592648\pi$
$48$	−6.53801	+	2.29226i	−0.943680	+	0.330860i
$49$	6.97526	−	0.588060i	0.996465	−	0.0840086i
$50$	0.0474460	−	0.0315141i	0.00670988	−	0.00445677i
$51$	−0.0997428	−	1.15145i	−0.0139668	−	0.161235i
$52$	1.38682	−	10.1045i	0.192318	−	1.40124i
$53$	4.31668	−	1.15665i	0.592942	−	0.158878i	0.0501447	−	0.998742i	$-0.484032\pi$
$53$	4.31668	−	1.15665i	0.592942	−	0.158878i	0.542798	+	0.839864i	$0.317365\pi$
$54$	1.47196	−	7.19954i	0.200308	−	0.979733i
$55$	−5.74745			−0.774986
$56$	7.28598	−	1.70718i	0.973630	−	0.228132i
$57$	1.36247	+	3.75337i	0.180463	+	0.497146i
$58$	−3.84438	−	11.4283i	−0.504792	−	1.50061i
$59$	−1.28868	−	4.80943i	−0.167772	−	0.626134i	−0.997670	−	0.0682193i	$-0.978268\pi$
$59$	−1.28868	−	4.80943i	−0.167772	−	0.626134i	0.829898	−	0.557915i	$-0.188398\pi$
$60$	−6.53245	−	4.22023i	−0.843336	−	0.544829i
$61$	1.09245	−	4.07706i	0.139873	−	0.522015i	−0.860057	−	0.510198i	$-0.829572\pi$
$61$	1.09245	−	4.07706i	0.139873	−	0.522015i	0.999930	−	0.0118163i	$-0.00376132\pi$
$62$	7.89868	−	5.24639i	1.00313	−	0.666292i
$63$	−2.41172	+	7.56199i	−0.303848	+	0.952721i
$64$	7.44051	−	2.93918i	0.930064	−	0.367398i
$65$	9.91504	−	5.72445i	1.22981	−	0.710031i
$66$	2.50483	+	5.74881i	0.308323	+	0.707630i
$67$	−0.0569532	−	0.212552i	−0.00695795	−	0.0259674i	0.962360	−	0.271779i	$-0.0876121\pi$
$67$	−0.0569532	−	0.212552i	−0.00695795	−	0.0259674i	−0.969318	+	0.245812i	$0.920945\pi$
$68$	0.166919	+	1.32408i	0.0202419	+	0.160568i
$69$	8.28517	+	3.87210i	0.997417	+	0.466146i
$70$	6.52839	+	5.28620i	0.780292	+	0.631822i
$71$			9.40185i			1.11579i	0.829910	+	0.557897i	$0.188392\pi$
$71$			9.40185i			1.11579i	−0.829910	+	0.557897i	$0.811608\pi$
$72$	−1.37428	+	8.37325i	−0.161961	+	0.986797i
$73$	6.57299	+	3.79492i	0.769310	+	0.444161i	0.832628	−	0.553832i	$-0.186835\pi$
$73$	6.57299	+	3.79492i	0.769310	+	0.444161i	−0.0633185	+	0.997993i	$0.520168\pi$
$74$	0.361036	−	0.409407i	0.0419695	−	0.0475926i
$75$	−0.00602030	−	0.0694993i	−0.000695164	−	0.00802509i
$76$	−1.74101	−	4.26939i	−0.199708	−	0.489733i
$77$	−2.02655	−	6.46297i	−0.230947	−	0.736524i
$78$	−10.0469	−	7.42259i	−1.13759	−	0.840443i
$79$	2.76137	−	1.59428i	0.310678	−	0.179370i	−0.336552	−	0.941665i	$-0.609261\pi$
$79$	2.76137	−	1.59428i	0.310678	−	0.179370i	0.647230	+	0.762295i	$0.275927\pi$
$80$	7.72727	+	4.57533i	0.863935	+	0.511538i
$81$	−6.87450	−	5.80872i	−0.763833	−	0.645414i
$82$	2.41113	−	4.85560i	0.266265	−	0.536212i
$83$	−12.3956	−	12.3956i	−1.36059	−	1.36059i	−0.873160	−	0.487433i	$-0.837933\pi$
$83$	−12.3956	−	12.3956i	−1.36059	−	1.36059i	−0.487433	−	0.873160i	$-0.662067\pi$
$84$	2.44228	−	8.83376i	0.266475	−	0.963842i
$85$	−1.05930	+	1.05930i	−0.114897	+	0.114897i
$86$	14.7846	−	4.97341i	1.59426	−	0.536297i
$87$	−14.5409	−	2.57682i	−1.55895	−	0.276264i
$88$	−3.14892	−	6.52035i	−0.335676	−	0.695072i
$89$	−0.636184	−	1.10190i	−0.0674353	−	0.116801i	0.830336	−	0.557263i	$-0.188148\pi$
$89$	−0.636184	−	1.10190i	−0.0674353	−	0.116801i	−0.897772	+	0.440461i	$0.854815\pi$
$90$	−8.37116	+	4.54407i	−0.882398	+	0.478987i
$91$	9.93315	+	9.13096i	1.04128	+	0.957185i
$92$	−9.73392	−	4.09475i	−1.01483	−	0.426907i
$93$	−1.00224	−	11.5700i	−0.103928	−	1.19976i
$94$	−13.2781	+	0.833652i	−1.36953	+	0.0859846i
$95$	2.58784	−	4.48227i	0.265506	−	0.459871i
$96$	1.20875	−	9.72311i	0.123368	−	0.992361i
$97$	−1.71851			−0.174488			−0.0872441	−	0.996187i	$-0.527806\pi$
$97$	−1.71851			−0.174488			−0.0872441	+	0.996187i	$0.527806\pi$
$98$	−3.64239	+	9.20505i	−0.367937	+	0.929851i
$99$	7.64975	+	0.682500i	0.768829	+	0.0685939i
$100$	0.0100749	+	0.0799188i	0.00100749	+	0.00799188i
$101$	−9.34881	+	2.50501i	−0.930242	+	0.249258i	−0.691958	−	0.721938i	$-0.743252\pi$
$101$	−9.34881	+	2.50501i	−0.930242	+	0.249258i	−0.238284	+	0.971196i	$0.576585\pi$
$102$	1.52121	+	0.597891i	0.150622	+	0.0592001i
$103$	−7.63347	−	13.2216i	−0.752148	−	1.30276i	−0.946780	−	0.321882i	$-0.895685\pi$
$103$	−7.63347	−	13.2216i	−0.752148	−	1.30276i	0.194632	−	0.980876i	$-0.437649\pi$
$104$	11.9265	+	8.11208i	1.16949	+	0.795454i
$105$	9.51457	−	3.91392i	0.928527	−	0.381959i
$106$	−1.25001	+	6.19522i	−0.121412	+	0.601732i
$107$	−1.97726	−	0.529806i	−0.191149	−	0.0512183i	0.161974	−	0.986795i	$-0.448214\pi$
$107$	−1.97726	−	0.529806i	−0.191149	−	0.0512183i	−0.353124	+	0.935577i	$0.614880\pi$
$108$	8.19344	+	6.39277i	0.788414	+	0.615145i
$109$	−17.4861	+	4.68538i	−1.67486	+	0.448778i	−0.966415	−	0.256986i	$-0.917271\pi$
$109$	−17.4861	+	4.68538i	−1.67486	+	0.448778i	−0.708447	+	0.705764i	$0.750604\pi$
$110$	3.61499	−	7.27998i	0.344676	−	0.694119i
$111$	−0.228114	−	0.628415i	−0.0216516	−	0.0596465i
$112$	−2.42030	+	10.3025i	−0.228697	+	0.973498i
$113$			2.47218i			0.232563i	0.993216	+	0.116282i	$0.0370976\pi$
$113$			2.47218i			0.232563i	−0.993216	+	0.116282i	$0.962902\pi$
$114$	−5.61115	−	0.635009i	−0.525532	−	0.0594740i
$115$	−3.06805	−	11.4501i	−0.286097	−	1.06773i
$116$	16.8936	+	2.31862i	1.56853	+	0.215278i
$117$	−13.8765	+	6.44175i	−1.28288	+	0.595540i
$118$	6.90239	+	1.39270i	0.635416	+	0.128209i
$119$	−1.56468	−	0.817667i	−0.143434	−	0.0749554i
$120$	9.45428	−	5.61989i	0.863054	−	0.513023i
$121$	3.85049	−	2.22308i	0.350045	−	0.202098i
$122$	4.47708	+	3.94811i	0.405335	+	0.357445i
$123$	−3.80371	−	5.44219i	−0.342969	−	0.490706i
$124$	1.67725	+	13.3047i	0.150621	+	1.19479i
$125$	7.87353	−	7.87353i	0.704230	−	0.704230i
$126$	−8.06145	−	7.81108i	−0.718171	−	0.695866i
$127$			15.7483i			1.39744i	0.715396	+	0.698719i	$0.246246\pi$
$127$			15.7483i			1.39744i	−0.715396	+	0.698719i	$0.753754\pi$
$128$	−0.956986	+	11.2732i	−0.0845864	+	0.996416i
$129$	3.33359	−	18.8113i	0.293506	−	1.65624i
$130$	1.01455	+	16.1594i	0.0889818	+	1.41727i
$131$	2.07301	−	7.73657i	0.181120	−	0.675948i	−0.814308	−	0.580432i	$-0.802884\pi$
$131$	2.07301	−	7.73657i	0.181120	−	0.675948i	0.995428	−	0.0955151i	$-0.0304498\pi$
$132$	−8.85718	−	0.443122i	−0.770919	−	0.0385688i
$133$	5.95275	+	1.32956i	0.516169	+	0.115287i
$134$	0.305051	+	0.0615504i	0.0263524	+	0.00531714i
$135$	−0.0300370	+	11.6656i	−0.00258517	+	1.00402i
$136$	−1.78212	−	0.621382i	−0.152816	−	0.0532830i
$137$	−7.88734	+	13.6613i	−0.673861	+	1.16716i	0.302940	+	0.953010i	$0.402032\pi$
$137$	−7.88734	+	13.6613i	−0.673861	+	1.16716i	−0.976801	+	0.214151i	$0.931301\pi$
$138$	−10.1157	+	8.05892i	−0.861108	+	0.686021i
$139$	−9.04206	−	9.04206i	−0.766938	−	0.766938i	0.210628	−	0.977566i	$-0.432449\pi$
$139$	−9.04206	−	9.04206i	−0.766938	−	0.766938i	−0.977566	+	0.210628i	$0.932449\pi$
$140$	−10.8019	+	4.94428i	−0.912930	+	0.417868i
$141$	−6.89895	+	14.7618i	−0.580997	+	1.24316i
$142$	−11.9088	−	5.91352i	−0.999365	−	0.496252i
$143$	6.52761	−	11.3062i	0.545866	−	0.945468i
$144$	−9.74155	−	7.00729i	−0.811796	−	0.583941i
$145$	9.57065	+	16.5769i	0.794799	+	1.37663i
$146$	−8.94105	+	5.93874i	−0.739967	+	0.491494i
$147$	7.75601	+	9.31903i	0.639705	+	0.768620i
$148$	0.291492	+	0.714811i	0.0239605	+	0.0587571i
$149$	−2.69865	+	10.0715i	−0.221082	+	0.825090i	0.762854	+	0.646571i	$0.223797\pi$
$149$	−2.69865	+	10.0715i	−0.221082	+	0.825090i	−0.983936	+	0.178519i	$0.942869\pi$
$150$	0.0918176	+	0.0360877i	0.00749688	+	0.00294655i
$151$	4.44856	−	7.70513i	0.362018	−	0.627034i	−0.626274	−	0.779603i	$-0.715421\pi$
$151$	4.44856	−	7.70513i	0.362018	−	0.627034i	0.988293	+	0.152568i	$0.0487544\pi$
$152$	6.50286	+	0.480095i	0.527452	+	0.0389408i
$153$	1.53570	−	1.28412i	0.124154	−	0.103815i
$154$	9.46094	+	1.49812i	0.762384	+	0.120722i
$155$	−10.6441	+	10.6441i	−0.854957	+	0.854957i
$156$	15.7211	−	8.05730i	1.25869	−	0.645101i
$157$	10.5577	−	2.82893i	0.842597	−	0.225773i	0.188395	−	0.982093i	$-0.439671\pi$
$157$	10.5577	−	2.82893i	0.842597	−	0.225773i	0.654202	+	0.756320i	$0.273005\pi$
$158$	0.282555	+	4.50044i	0.0224789	+	0.358036i
$159$	5.92527	+	4.98056i	0.469904	+	0.394984i
$160$	−10.6556	+	6.90995i	−0.842398	+	0.546280i
$161$	11.7938	−	7.48731i	0.929481	−	0.590083i
$162$	11.6815	−	5.05402i	0.917783	−	0.397081i
$163$	0.543588	+	0.145654i	0.0425771	+	0.0114085i	0.280045	−	0.959987i	$-0.409651\pi$
$163$	0.543588	+	0.145654i	0.0425771	+	0.0114085i	−0.237468	+	0.971395i	$0.576317\pi$
$164$	4.63379	+	6.10810i	0.361838	+	0.476962i
$165$	−5.70288	−	8.15945i	−0.443968	−	0.635212i
$166$	23.4973	−	7.90432i	1.82375	−	0.613494i
$167$		−	5.82766i		−	0.450958i	−0.974248	−	0.225479i	$-0.927605\pi$
$167$		−	5.82766i		−	0.450958i	0.974248	−	0.225479i	$-0.0723947\pi$
$168$	9.65311	+	8.64971i	0.744754	+	0.667339i
$169$			13.0060i			1.00046i
$170$	−0.675485	−	2.00803i	−0.0518074	−	0.154009i
$171$	−3.97663	+	5.65852i	−0.304100	+	0.432718i
$172$	−2.99956	+	21.8550i	−0.228714	+	1.66643i
$173$	−19.3223	−	5.17738i	−1.46904	−	0.393629i	−0.566441	−	0.824102i	$-0.691680\pi$
$173$	−19.3223	−	5.17738i	−1.46904	−	0.393629i	−0.902603	+	0.430473i	$0.858347\pi$
$174$	12.4098	−	16.7974i	0.940781	−	1.27341i
$175$	−0.0944416	−	0.0493529i	−0.00713911	−	0.00373073i
$176$	10.2396	+	0.112568i	0.771836	+	0.00848513i
$177$	5.54909	−	6.60163i	0.417095	−	0.496209i
$178$	1.79586	−	0.112751i	0.134606	−	0.00845107i
$179$	−21.0382	+	5.63716i	−1.57247	+	0.421341i	−0.936583	−	0.350445i	$-0.886030\pi$
$179$	−21.0382	+	5.63716i	−1.57247	+	0.421341i	−0.635883	+	0.771786i	$0.719364\pi$
$180$	−0.490484	−	13.4614i	−0.0365585	−	1.00335i
$181$	−1.47426	+	1.47426i	−0.109581	+	0.109581i	−0.759771	−	0.650190i	$-0.774689\pi$
$181$	−1.47426	+	1.47426i	−0.109581	+	0.109581i	0.650190	+	0.759771i	$0.274689\pi$
$182$	−17.8134	+	6.83865i	−1.32042	+	0.506914i
$183$	6.87204	−	2.49454i	0.507996	−	0.184402i
$184$	11.3090	−	9.75394i	0.833709	−	0.719070i
$185$	−0.433273	+	0.750451i	−0.0318549	+	0.0551742i
$186$	15.2855	+	6.00777i	1.12079	+	0.440511i
$187$	−0.442131	+	1.65005i	−0.0323318	+	0.120664i
$188$	7.29565	−	17.3430i	0.532090	−	1.26487i
$189$	−13.1285	+	4.07952i	−0.954958	+	0.296741i
$190$	4.04976	+	6.09710i	0.293800	+	0.442330i
$191$	2.69252	+	4.66359i	0.194824	+	0.337445i	0.946843	−	0.321696i	$-0.104253\pi$
$191$	2.69252	+	4.66359i	0.194824	+	0.337445i	−0.752019	+	0.659142i	$0.770920\pi$
$192$	11.5555	+	7.64664i	0.833944	+	0.551849i
$193$	−9.07073	+	15.7110i	−0.652925	+	1.13090i	0.329484	+	0.944161i	$0.393125\pi$
$193$	−9.07073	+	15.7110i	−0.652925	+	1.13090i	−0.982410	+	0.186739i	$0.940208\pi$
$194$	1.08090	−	2.17674i	0.0776040	−	0.156281i
$195$	17.9650	+	8.39598i	1.28650	+	0.601248i
$196$	−9.36857	−	10.4034i	−0.669184	−	0.743097i
$197$	11.1656	+	11.1656i	0.795516	+	0.795516i	0.982385	−	0.186869i	$-0.0598341\pi$
$197$	11.1656	+	11.1656i	0.795516	+	0.795516i	−0.186869	+	0.982385i	$0.559834\pi$
$198$	−5.67598	+	9.26025i	−0.403375	+	0.658097i
$199$	4.23951	−	7.34304i	0.300531	−	0.520534i	−0.675726	−	0.737153i	$-0.736170\pi$
$199$	4.23951	−	7.34304i	0.300531	−	0.520534i	0.976256	+	0.216619i	$0.0695029\pi$
$200$	−0.107566	−	0.0375055i	−0.00760605	−	0.00265204i
$201$	0.245242	−	0.291759i	0.0172980	−	0.0205791i
$202$	2.70720	−	13.4172i	0.190478	−	0.944032i
$203$	−15.2660	+	16.6071i	−1.07146	+	1.16559i
$204$	−1.71412	+	1.55078i	−0.120012	+	0.108576i
$205$	−2.22747	+	8.31302i	−0.155573	+	0.580607i
$206$	21.5483	−	1.35289i	1.50134	−	0.0942600i
$207$	2.72384	+	15.6042i	0.189320	+	1.08457i
$208$	−17.7766	+	10.0044i	−1.23259	+	0.693681i
$209$		−	5.90184i		−	0.408239i
$210$	−1.02687	+	14.5133i	−0.0708607	+	1.00152i
$211$	1.96157	−	1.96157i	0.135040	−	0.135040i	−0.636356	−	0.771396i	$-0.719559\pi$
$211$	1.96157	−	1.96157i	0.135040	−	0.135040i	0.771396	+	0.636356i	$0.219559\pi$
$212$	−7.06092	−	5.47996i	−0.484946	−	0.376365i
$213$	−13.3475	+	9.32894i	−0.914554	+	0.639209i
$214$	1.91472	−	2.17126i	0.130888	−	0.148424i
$215$	−21.4452	+	12.3814i	−1.46255	+	0.844404i
$216$	−13.2508	+	6.35730i	−0.901606	+	0.432559i
$217$	−15.7224	−	8.21614i	−1.06730	−	0.557748i
$218$	5.06357	−	25.0957i	0.342948	−	1.69969i
$219$	1.13451	+	13.0969i	0.0766629	+	0.885008i
$220$	6.94742	+	9.15784i	0.468395	+	0.617421i
$221$	−0.880723	−	3.28690i	−0.0592439	−	0.221101i
$222$	0.939457	+	0.106317i	0.0630522	+	0.00713556i
$223$		−	6.70277i		−	0.448850i	−0.974491	−	0.224425i	$-0.927950\pi$
$223$		−	6.70277i		−	0.448850i	0.974491	−	0.224425i	$-0.0720505\pi$
$224$	−11.5274	−	9.54568i	−0.770204	−	0.637798i
$225$	0.0926921	−	0.0775072i	0.00617947	−	0.00516714i
$226$	−3.13138	−	1.55494i	−0.208296	−	0.103433i
$227$	−7.08042	+	1.89719i	−0.469944	+	0.125921i	−0.486016	−	0.873950i	$-0.661550\pi$
$227$	−7.08042	+	1.89719i	−0.469944	+	0.125921i	0.0160723	+	0.999871i	$0.494884\pi$
$228$	4.33360	−	6.70794i	0.287000	−	0.444244i
$229$	−9.68715	−	2.59566i	−0.640145	−	0.171526i	−0.0758758	−	0.997117i	$-0.524175\pi$
$229$	−9.68715	−	2.59566i	−0.640145	−	0.171526i	−0.564269	+	0.825591i	$0.690842\pi$
$230$	16.4330	+	3.31569i	1.08356	+	0.218630i
$231$	7.16442	−	9.28987i	0.471384	−	0.611229i
$232$	−13.5625	+	19.9398i	−0.890422	+	1.30912i
$233$	−9.52968	−	16.5059i	−0.624310	−	1.08134i	−0.988674	−	0.150080i	$-0.952047\pi$
$233$	−9.52968	−	16.5059i	−0.624310	−	1.08134i	0.364364	−	0.931257i	$-0.381286\pi$
$234$	0.568554	−	21.6283i	0.0371675	−	1.41389i
$235$	20.4008	−	5.46637i	1.33080	−	0.356587i
$236$	−6.10548	+	7.86691i	−0.397433	+	0.512092i
$237$	5.00330	+	2.33831i	0.324999	+	0.151889i
$238$	2.01984	−	1.46761i	0.130927	−	0.0951310i
$239$	24.3265			1.57355			0.786775	−	0.617240i	$-0.211749\pi$
$239$	24.3265			1.57355			0.786775	+	0.617240i	$0.211749\pi$
$240$	1.17191	+	15.5100i	0.0756466	+	1.00117i
$241$	−3.88782	+	6.73390i	−0.250436	+	0.433768i	−0.963646	−	0.267182i	$-0.913907\pi$
$241$	−3.88782	+	6.73390i	−0.250436	+	0.433768i	0.713210	+	0.700951i	$0.247241\pi$
$242$	0.393998	+	6.27547i	0.0253272	+	0.403402i
$243$	1.42525	−	15.5232i	0.0914300	−	0.995812i
$244$	−7.81682	+	3.18761i	−0.500421	+	0.204066i
$245$	2.77782	−	15.4679i	0.177469	−	0.988211i
$246$	9.28577	−	1.39495i	0.592039	−	0.0889389i
$247$	5.87823	+	10.1814i	0.374023	+	0.647826i
$248$	−17.9072	−	6.24381i	−1.13711	−	0.396482i
$249$	5.29812	−	29.8971i	0.335755	−	1.89465i
$250$	5.02073	+	14.9252i	0.317539	+	0.943954i
$251$	13.4124	−	13.4124i	0.846583	−	0.846583i	−0.143122	−	0.989705i	$-0.545714\pi$
$251$	13.4124	−	13.4124i	0.846583	−	0.846583i	0.989705	+	0.143122i	$0.0457141\pi$
$252$	14.9643	−	5.29804i	0.942663	−	0.333745i
$253$	−9.55810	−	9.55810i	−0.600913	−	0.600913i
$254$	−19.9475	−	9.90529i	−1.25162	−	0.621513i
$255$	−2.55494	−	0.452765i	−0.159996	−	0.0283533i
$256$	−13.6772	−	8.30269i	−0.854824	−	0.518918i
$257$	−6.26072	+	3.61463i	−0.390533	+	0.225474i	−0.682391	−	0.730987i	$-0.739060\pi$
$257$	−6.26072	+	3.61463i	−0.390533	+	0.225474i	0.291858	+	0.956462i	$0.405727\pi$
$258$	21.7305	+	16.0543i	1.35288	+	0.999497i
$259$	−0.996649	−	0.222604i	−0.0619288	−	0.0138319i
$260$	−21.1063	−	8.87875i	−1.30896	−	0.550637i
$261$	−10.7699	−	23.2000i	−0.666640	−	1.43604i
$262$	8.49563	+	7.49187i	0.524862	+	0.462849i
$263$	23.2449	+	13.4204i	1.43334	+	0.827539i	0.997374	−	0.0724237i	$-0.0230734\pi$
$263$	23.2449	+	13.4204i	1.43334	+	0.827539i	0.435966	+	0.899963i	$0.356407\pi$
$264$	6.13222	−	10.9402i	0.377412	−	0.673323i
$265$		−	10.0331i		−	0.616326i
$266$	−5.42821	+	6.70377i	−0.332825	+	0.411034i
$267$	0.933082	−	1.99653i	0.0571037	−	0.122185i
$268$	−0.269831	+	0.347678i	−0.0164826	+	0.0212378i
$269$	−2.31787	−	8.65042i	−0.141323	−	0.527426i	−0.999892	−	0.0147265i	$-0.995312\pi$
$269$	−2.31787	−	8.65042i	−0.141323	−	0.527426i	0.858568	−	0.512699i	$-0.171354\pi$
$270$	−14.7573	−	7.37541i	−0.898101	−	0.448853i
$271$	7.69077	−	4.44027i	0.467181	−	0.269727i	−0.247878	−	0.968791i	$-0.579733\pi$
$271$	7.69077	−	4.44027i	0.467181	−	0.269727i	0.715059	+	0.699064i	$0.246400\pi$
$272$	1.90798	−	1.86648i	0.115688	−	0.113172i
$273$	−3.10678	+	23.1619i	−0.188031	+	1.40182i
$274$	−12.3431	−	18.5830i	−0.745671	−	1.12264i
$275$	−0.0266862	+	0.0995943i	−0.00160924	+	0.00600576i
$276$	−3.84527	−	17.8819i	−0.231458	−	1.07636i
$277$	4.16281	+	15.5358i	0.250119	+	0.933457i	0.970741	+	0.240129i	$0.0771896\pi$
$277$	4.16281	+	15.5358i	0.250119	+	0.933457i	−0.720622	+	0.693328i	$0.756144\pi$
$278$	17.1403	−	5.76587i	1.02801	−	0.345814i
$279$	15.4311	−	12.9032i	0.923837	−	0.772493i
$280$	0.531490	−	16.7921i	0.0317626	−	1.00352i
$281$	15.1930			0.906340			0.453170	−	0.891424i	$-0.350293\pi$
$281$	15.1930			0.906340			0.453170	+	0.891424i	$0.350293\pi$
$282$	−14.3587	−	18.0233i	−0.855046	−	1.07327i
$283$	9.20192	−	2.46565i	0.546997	−	0.146568i	0.0252714	−	0.999681i	$-0.491955\pi$
$283$	9.20192	−	2.46565i	0.546997	−	0.146568i	0.521726	+	0.853113i	$0.325288\pi$
$284$	14.9807	−	11.3648i	0.888939	−	0.674377i
$285$	8.93108	−	0.773645i	0.529032	−	0.0458268i
$286$	10.2152	+	15.3795i	0.604037	+	0.909406i
$287$	−10.1333	+	0.426398i	−0.598153	+	0.0251695i
$288$	15.0029	−	7.93169i	0.884057	−	0.467380i
$289$	−8.27737	−	14.3368i	−0.486904	−	0.843343i
$290$	−27.0167	+	1.69621i	−1.58648	+	0.0996051i
$291$	−1.70518	−	2.43971i	−0.0999596	−	0.143018i
$292$	−1.89859	−	15.0605i	−0.111107	−	0.881347i
$293$	0.0689434	+	0.0689434i	0.00402772	+	0.00402772i	0.709118	−	0.705090i	$-0.249093\pi$
$293$	0.0689434	+	0.0689434i	0.00402772	+	0.00402772i	−0.705090	+	0.709118i	$0.749093\pi$
$294$	−16.6822	+	3.96270i	−0.972928	+	0.231109i
$295$	−11.1783			−0.650827
$296$	−1.08875	−	0.0803807i	−0.0632825	−	0.00467204i
$297$	6.62151	+	11.5373i	0.384219	+	0.669462i
$298$	−11.0597	−	9.75295i	−0.640668	−	0.564973i
$299$	26.0087	+	6.96902i	1.50412	+	0.403029i
$300$	−0.103461	+	0.0936022i	−0.00597333	+	0.00540412i
$301$	−21.4844	−	19.7493i	−1.23834	−	1.13833i
$302$	6.96164	+	10.4811i	0.400597	+	0.603118i
$303$	−12.8326	−	10.7866i	−0.737213	−	0.619674i
$304$	−4.69824	+	7.93485i	−0.269463	+	0.455095i
$305$	−8.20657	−	4.73806i	−0.469907	−	0.271301i
$306$	0.660609	+	2.75287i	0.0377645	+	0.157371i
$307$	−22.8893	+	22.8893i	−1.30636	+	1.30636i	−0.382341	+	0.924021i	$0.624882\pi$
$307$	−22.8893	+	22.8893i	−1.30636	+	1.30636i	−0.924021	+	0.382341i	$0.875118\pi$
$308$	−7.84827	+	11.0414i	−0.447197	+	0.629141i
$309$	11.1959	−	23.9560i	0.636913	−	1.36281i
$310$	−6.78746	−	20.1772i	−0.385502	−	1.14599i
$311$	14.6359	+	8.45003i	0.829925	+	0.479157i	0.853827	−	0.520557i	$-0.174276\pi$
$311$	14.6359	+	8.45003i	0.829925	+	0.479157i	−0.0239023	+	0.999714i	$0.507609\pi$
$312$	0.317613	+	24.9808i	0.0179813	+	1.41426i
$313$	2.84269	−	1.64123i	0.160678	−	0.0927676i	−0.417505	−	0.908675i	$-0.637095\pi$
$313$	2.84269	−	1.64123i	0.160678	−	0.0927676i	0.578183	+	0.815907i	$0.303762\pi$
$314$	−3.05727	+	15.1522i	−0.172532	+	0.855088i
$315$	14.9972	+	9.62393i	0.844999	+	0.542247i
$316$	−5.87818	−	2.47276i	−0.330673	−	0.139104i
$317$	24.9053	+	6.67336i	1.39882	+	0.374813i	0.877922	−	0.478804i	$-0.158930\pi$
$317$	24.9053	+	6.67336i	1.39882	+	0.374813i	0.520900	+	0.853618i	$0.325596\pi$
$318$	−10.0355	+	4.37257i	−0.562760	+	0.245202i
$319$	18.9027	+	10.9135i	1.05835	+	0.611036i
$320$	−2.05038	−	17.8430i	−0.114620	−	0.997456i
$321$	−1.20978	−	3.33275i	−0.0675235	−	0.186016i
$322$	2.06578	+	19.6479i	0.115122	+	1.09493i
$323$	−1.08776	−	1.08776i	−0.0605243	−	0.0605243i
$324$	−0.945695	+	17.9751i	−0.0525386	+	0.998619i
$325$	−0.0531589	−	0.198392i	−0.00294872	−	0.0110048i
$326$	−0.526395	+	0.596921i	−0.0291543	+	0.0330604i
$327$	−24.0022	−	20.1753i	−1.32732	−	1.11570i
$328$	−10.6513	+	2.02754i	−0.588121	+	0.111952i
$329$	13.3402	+	21.0131i	0.735470	+	1.15849i
$330$	13.9221	−	2.09144i	0.766386	−	0.115130i
$331$	−1.68499	+	6.28846i	−0.0926154	+	0.345645i	−0.996647	−	0.0818201i	$-0.973927\pi$
$331$	−1.68499	+	6.28846i	−0.0926154	+	0.345645i	0.904032	+	0.427465i	$0.140593\pi$
$332$	−4.76724	+	34.7344i	−0.261636	+	1.90630i
$333$	0.665794	−	0.947387i	0.0364853	−	0.0519165i
$334$	7.38159	+	3.66545i	0.403902	+	0.200565i
$335$	−0.494025			−0.0269915
$336$	−17.0277	+	6.78663i	−0.928936	+	0.370241i
$337$	−15.1944			−0.827691			−0.413846	−	0.910347i	$-0.635815\pi$
$337$	−15.1944			−0.827691			−0.413846	+	0.910347i	$0.635815\pi$
$338$	−16.4740	−	8.18043i	−0.896066	−	0.444957i
$339$	−3.50967	+	2.45301i	−0.190619	+	0.133229i
$340$	2.96832	+	0.407398i	0.160980	+	0.0220942i
$341$	−4.44265	+	16.5802i	−0.240583	+	0.897867i
$342$	−4.66614	−	8.59604i	−0.252316	−	0.464821i
$343$	18.3731	−	2.33035i	0.992052	−	0.125827i
$344$	−25.7959	−	17.5456i	−1.39082	−	0.945995i
$345$	13.2111	−	15.7169i	0.711260	−	0.846171i
$346$	18.7111	−	21.2180i	1.00592	−	1.14069i
$347$	−2.78703	−	10.4013i	−0.149616	−	0.558374i	−0.999506	−	0.0314146i	$-0.989999\pi$
$347$	−2.78703	−	10.4013i	−0.149616	−	0.558374i	0.849891	−	0.526959i	$-0.176668\pi$
$348$	13.4709	+	26.2839i	0.722118	+	1.40896i
$349$	20.4815	+	20.4815i	1.09635	+	1.09635i	0.994834	+	0.101515i	$0.0323688\pi$
$349$	20.4815	+	20.4815i	1.09635	+	1.09635i	0.101515	+	0.994834i	$0.467631\pi$
$350$	0.121914	−	0.0885823i	0.00651658	−	0.00473492i
$351$	−22.9140	−	13.3082i	−1.22306	−	0.710340i
$352$	−6.58301	+	12.8991i	−0.350875	+	0.687524i
$353$	15.4979	+	8.94774i	0.824872	+	0.476240i	0.852094	−	0.523389i	$-0.175333\pi$
$353$	15.4979	+	8.94774i	0.824872	+	0.476240i	−0.0272217	+	0.999629i	$0.508666\pi$
$354$	4.87169	+	11.1810i	0.258928	+	0.594262i
$355$	20.3884	+	5.46307i	1.08211	+	0.289950i
$356$	−0.986735	+	2.34564i	−0.0522969	+	0.124319i
$357$	−0.391738	−	3.03265i	−0.0207330	−	0.160505i
$358$	6.09218	−	30.1935i	0.321981	−	1.59578i
$359$	−1.58377	+	0.914390i	−0.0835882	+	0.0482597i	−0.541212	−	0.840886i	$-0.682034\pi$
$359$	−1.58377	+	0.914390i	−0.0835882	+	0.0482597i	0.457623	+	0.889146i	$0.348701\pi$
$360$	17.3593	+	7.84560i	0.914917	+	0.413500i
$361$	−11.8518	−	6.84265i	−0.623779	−	0.360139i
$362$	−0.940093	−	2.79463i	−0.0494102	−	0.146883i
$363$	6.97666	+	3.26056i	0.366180	+	0.171135i
$364$	2.54201	−	26.8646i	0.133238	−	1.40809i
$365$	12.0488	−	12.0488i	0.630664	−	0.630664i
$366$	−1.16264	+	10.2734i	−0.0607719	+	0.537001i
$367$	−6.33540	−	3.65774i	−0.330705	−	0.190933i	0.325449	−	0.945560i	$-0.394485\pi$
$367$	−6.33540	−	3.65774i	−0.330705	−	0.190933i	−0.656154	+	0.754627i	$0.727818\pi$
$368$	5.24173	+	20.4594i	0.273244	+	1.06652i
$369$	3.95188	−	10.8000i	0.205727	−	0.562225i
$370$	−0.678038	−	1.02082i	−0.0352495	−	0.0530698i
$371$	11.2821	−	3.53766i	0.585739	−	0.183666i
$372$	−17.2239	+	15.5826i	−0.893019	+	0.807922i
$373$	25.2658	+	6.76994i	1.30821	+	0.350534i	0.844549	−	0.535478i	$-0.179869\pi$
$373$	25.2658	+	6.76994i	1.30821	+	0.350534i	0.463662	+	0.886012i	$0.346535\pi$
$374$	−1.81195	−	1.59786i	−0.0936935	−	0.0826236i
$375$	18.9903	+	3.36530i	0.980653	+	0.173784i
$376$	17.3787	+	20.1493i	0.896237	+	1.03912i
$377$	−43.4791			−2.23929
$378$	3.09018	−	19.1951i	0.158942	−	0.987288i
$379$	2.39484	+	2.39484i	0.123015	+	0.123015i	0.765934	−	0.642919i	$-0.222277\pi$
$379$	2.39484	+	2.39484i	0.123015	+	0.123015i	−0.642919	+	0.765934i	$0.722277\pi$
$380$	−10.2701	+	1.29469i	−0.526843	+	0.0664163i
$381$	−22.3573	+	15.6262i	−1.14540	+	0.800555i
$382$	−7.60064	+	0.477198i	−0.388882	+	0.0244156i
$383$	−6.91556	−	11.9781i	−0.353369	−	0.612053i	0.633469	−	0.773768i	$-0.281631\pi$
$383$	−6.91556	−	11.9781i	−0.353369	−	0.612053i	−0.986837	+	0.161716i	$0.948297\pi$
$384$	−16.9537	+	9.82714i	−0.865164	+	0.501489i
$385$	−15.1929	+	0.639296i	−0.774300	+	0.0325815i
$386$	−14.1950	−	21.3712i	−0.722505	−	1.08776i
$387$	30.0135	−	13.9328i	1.52567	−	0.708246i
$388$	2.07731	+	2.73823i	0.105459	+	0.139013i
$389$	27.5670	−	7.38656i	1.39770	−	0.374514i	0.520184	−	0.854054i	$-0.325863\pi$
$389$	27.5670	−	7.38656i	1.39770	−	0.374514i	0.877520	+	0.479541i	$0.159197\pi$
$390$	−21.9342	+	17.4744i	−1.11068	+	0.884850i
$391$	−3.52327			−0.178179
$392$	19.0700	−	5.32322i	0.963178	−	0.268863i
$393$	13.0403	−	4.73360i	0.657795	−	0.238779i
$394$	−21.1657	+	7.11998i	−1.06631	+	0.358700i
$395$	−1.85275	−	6.91456i	−0.0932221	−	0.347910i
$396$	−8.15941	−	13.0139i	−0.410026	−	0.653974i
$397$	−3.51784	+	13.1288i	−0.176555	+	0.658914i	0.819726	+	0.572756i	$0.194126\pi$
$397$	−3.51784	+	13.1288i	−0.176555	+	0.658914i	−0.996281	+	0.0861579i	$0.972541\pi$
$398$	6.63449	+	9.98854i	0.332557	+	0.500680i
$399$	4.01906	+	9.77016i	0.201205	+	0.489120i
$400$	0.115162	−	0.112658i	0.00575811	−	0.00563289i
$401$	−15.2608	+	8.81082i	−0.762087	+	0.439991i	−0.830045	−	0.557697i	$-0.811685\pi$
$401$	−15.2608	+	8.81082i	−0.762087	+	0.439991i	0.0679575	+	0.997688i	$0.478352\pi$
$402$	0.215304	+	0.494143i	0.0107384	+	0.0246456i
$403$	−8.84974	−	33.0277i	−0.440837	−	1.64523i
$404$	15.2921	+	11.8682i	0.760811	+	0.590463i
$405$	−16.5911	+	11.5325i	−0.824417	+	0.573055i
$406$	−11.4335	−	29.7820i	−0.567433	−	1.47806i
$407$			0.988126i			0.0489796i
$408$	−0.886149	−	3.14658i	−0.0438709	−	0.155779i
$409$	−17.5333	−	10.1229i	−0.866967	−	0.500544i	−0.000627998	−	1.00000i	$-0.500200\pi$
$409$	−17.5333	−	10.1229i	−0.866967	−	0.500544i	−0.866339	+	0.499456i	$0.833533\pi$
$410$	−9.12864	−	8.05009i	−0.450831	−	0.397566i
$411$	−27.2206	+	2.35795i	−1.34269	+	0.116309i
$412$	−11.8397	+	28.1450i	−0.583299	+	1.38660i
$413$	−3.94148	−	12.5700i	−0.193947	−	0.618527i
$414$	−21.4783	−	6.36452i	−1.05560	−	0.312799i
$415$	−34.0832	+	19.6779i	−1.67308	+	0.965952i
$416$	−1.49101	−	28.8092i	−0.0731028	−	1.41249i
$417$	3.86476	−	21.8087i	0.189258	−	1.06797i
$418$	7.47554	+	3.71211i	0.365641	+	0.181565i
$419$	12.2939	+	12.2939i	0.600598	+	0.600598i	0.940471	−	0.339873i	$-0.110384\pi$
$419$	12.2939	+	12.2939i	0.600598	+	0.600598i	−0.339873	+	0.940471i	$0.610384\pi$
$420$	−17.7374	−	10.4292i	−0.865496	−	0.508893i
$421$	−5.74665	+	5.74665i	−0.280074	+	0.280074i	−0.833139	−	0.553064i	$-0.813458\pi$
$421$	−5.74665	+	5.74665i	−0.280074	+	0.280074i	0.553064	+	0.833139i	$0.313458\pi$
$422$	1.25084	+	3.71839i	0.0608899	+	0.181009i
$423$	−27.8022	+	4.85309i	−1.35179	+	0.235965i
$424$	11.3823	−	5.49693i	0.552773	−	0.266955i
$425$	0.0134375	+	0.0232745i	0.000651816	+	0.00112898i
$426$	−3.42125	−	22.7742i	−0.165760	−	1.10341i
$427$	2.43429	−	10.8989i	0.117803	−	0.527433i
$428$	1.54590	+	3.79094i	0.0747240	+	0.183242i
$429$	22.5280	−	1.95146i	1.08766	−	0.0942173i
$430$	−2.19436	−	34.9511i	−0.105822	−	1.68549i
$431$	−3.48668	+	6.03911i	−0.167947	+	0.290894i	−0.937698	−	0.347451i	$-0.887047\pi$
$431$	−3.48668	+	6.03911i	−0.167947	+	0.290894i	0.769751	+	0.638345i	$0.220381\pi$
$432$	0.281993	−	20.7827i	0.0135674	−	0.999908i
$433$	35.4582			1.70401			0.852006	−	0.523532i	$-0.175386\pi$
$433$	35.4582			1.70401			0.852006	+	0.523532i	$0.175386\pi$
$434$	20.2959	−	14.7469i	0.974234	−	0.707876i
$435$	−14.0371	+	30.0354i	−0.673030	+	1.44009i
$436$	28.6024	+	22.1983i	1.36981	+	1.06310i
$437$	11.7577	−	3.15047i	0.562447	−	0.150707i
$438$	−17.3027	−	6.80061i	−0.826757	−	0.324946i
$439$	11.8354	+	20.4995i	0.564873	+	0.978389i	0.997061	+	0.0766056i	$0.0244082\pi$
$439$	11.8354	+	20.4995i	0.564873	+	0.978389i	−0.432188	+	0.901783i	$0.642258\pi$
$440$	−15.9695	+	3.03987i	−0.761315	+	0.144920i
$441$	−5.53403	+	20.2577i	−0.263525	+	0.964653i
$442$	4.71730	+	0.951813i	0.224379	+	0.0452731i
$443$	0.751606	+	0.201392i	0.0357099	+	0.00956843i	0.276630	−	0.960977i	$-0.410782\pi$
$443$	0.751606	+	0.201392i	0.0357099	+	0.00956843i	−0.240920	+	0.970545i	$0.577449\pi$
$444$	−0.725560	+	1.12309i	−0.0344336	+	0.0532994i
$445$	−2.75920	+	0.739326i	−0.130799	+	0.0350474i
$446$	8.49003	+	4.21587i	0.402015	+	0.199627i
$447$	−16.9759	+	6.16223i	−0.802932	+	0.291463i
$448$	19.3414	−	8.59709i	0.913796	−	0.406174i
$449$			17.7973i			0.839906i	0.907546	+	0.419953i	$0.137953\pi$
$449$			17.7973i			0.839906i	−0.907546	+	0.419953i	$0.862047\pi$
$450$	0.0398732	+	0.166158i	0.00187964	+	0.00783277i
$451$	2.53999	+	9.47937i	0.119603	+	0.446366i
$452$	3.93912	−	2.98833i	0.185280	−	0.140559i
$453$	15.3528	−	1.32992i	0.721336	−	0.0624849i
$454$	2.05033	−	10.1617i	0.0962267	−	0.476911i
$455$	25.5728	−	16.2349i	1.19887	−	0.761106i
$456$	5.77086	+	9.70826i	0.270245	+	0.454631i
$457$	19.3526	−	11.1732i	0.905275	−	0.522661i	0.0263672	−	0.999652i	$-0.491606\pi$
$457$	19.3526	−	11.1732i	0.905275	−	0.522661i	0.878908	+	0.476992i	$0.158273\pi$
$458$	9.38075	−	10.6376i	0.438334	−	0.497062i
$459$	3.34681	+	0.906018i	0.156216	+	0.0422893i
$460$	−14.5357	+	18.7293i	−0.677731	+	0.873256i
$461$	1.82255	−	1.82255i	0.0848846	−	0.0848846i	−0.663390	−	0.748274i	$-0.730883\pi$
$461$	1.82255	−	1.82255i	0.0848846	−	0.0848846i	0.748274	+	0.663390i	$0.230883\pi$
$462$	7.26074	+	14.9179i	0.337800	+	0.694042i
$463$		−	4.33479i		−	0.201455i	−0.994914	−	0.100727i	$-0.967883\pi$
$463$		−	4.33479i		−	0.201455i	0.994914	−	0.100727i	$-0.0321170\pi$
$464$	−16.7263	−	29.7205i	−0.776497	−	1.37974i
$465$	−25.6727	−	4.54951i	−1.19054	−	0.210978i
$466$	26.9010	−	1.68895i	1.24617	−	0.0782392i
$467$	−1.19065	+	4.44356i	−0.0550966	+	0.205623i	−0.987987	−	0.154537i	$-0.950611\pi$
$467$	−1.19065	+	4.44356i	−0.0550966	+	0.205623i	0.932890	+	0.360160i	$0.117278\pi$
$468$	27.0378	+	14.3238i	1.24982	+	0.662118i
$469$	−0.174193	−	0.555529i	−0.00804350	−	0.0256519i
$470$	−5.90760	+	29.2788i	−0.272497	+	1.35053i
$471$	14.4920	+	12.1814i	0.667755	+	0.561290i
$472$	−6.12440	−	12.6816i	−0.281898	−	0.583716i
$473$	−14.1186	+	24.4541i	−0.649172	+	1.12440i
$474$	−6.10875	+	4.86667i	−0.280584	+	0.223534i
$475$	−0.0656550	−	0.0656550i	−0.00301246	−	0.00301246i
$476$	0.588515	+	3.48151i	0.0269745	+	0.159575i
$477$	−1.19141	+	13.3538i	−0.0545510	+	0.611430i
$478$	−15.3007	+	30.8130i	−0.699839	+	1.40936i
$479$	−2.39798	+	4.15343i	−0.109567	+	0.189775i	−0.915595	−	0.402102i	$-0.868280\pi$
$479$	−2.39798	+	4.15343i	−0.109567	+	0.189775i	0.806028	+	0.591877i	$0.201613\pi$
$480$	−20.3828	−	8.27099i	−0.930342	−	0.377517i
$481$	−0.984172	−	1.70464i	−0.0448744	−	0.0777247i
$482$	−6.08413	−	9.15994i	−0.277124	−	0.417224i
$483$	22.3318	+	9.31398i	1.01613	+	0.423801i
$484$	−8.19661	−	3.44805i	−0.372573	−	0.156730i
$485$	−0.998563	+	3.72669i	−0.0453424	+	0.169220i
$486$	18.7659	+	11.5690i	0.851239	+	0.524779i
$487$	−4.89718	+	8.48217i	−0.221913	+	0.384364i	−0.955389	−	0.295351i	$-0.904563\pi$
$487$	−4.89718	+	8.48217i	−0.221913	+	0.384364i	0.733476	+	0.679715i	$0.237897\pi$
$488$	0.879005	−	11.9061i	0.0397907	−	0.538962i
$489$	0.332593	+	0.916238i	0.0150404	+	0.0414337i
$490$	17.8452	+	13.2475i	0.806165	+	0.598459i
$491$	−2.94679	+	2.94679i	−0.132987	+	0.132987i	−0.770467	−	0.637480i	$-0.779977\pi$
$491$	−2.94679	+	2.94679i	−0.132987	+	0.132987i	0.637480	+	0.770467i	$0.279977\pi$
$492$	−4.07360	+	12.6392i	−0.183652	+	0.569818i
$493$	5.49534	−	1.47247i	0.247498	−	0.0663168i
$494$	−16.5935	+	1.04180i	−0.746575	+	0.0468729i
$495$	5.92503	−	16.1924i	0.266310	−	0.727792i
$496$	19.1719	−	18.7549i	0.860843	−	0.842122i
$497$	1.04578	+	24.8530i	0.0469096	+	1.11481i
$498$	34.5366	+	25.5153i	1.54762	+	1.14337i
$499$	−28.3758	−	7.60328i	−1.27028	−	0.340370i	−0.440140	−	0.897929i	$-0.645071\pi$
$499$	−28.3758	−	7.60328i	−1.27028	−	0.340370i	−0.830137	+	0.557560i	$0.811738\pi$
$500$	−22.0629	−	3.02809i	−0.986682	−	0.135421i
$501$	8.27333	−	5.78247i	0.369625	−	0.258342i
$502$	8.55271	+	25.4248i	0.381726	+	1.13476i
$503$			12.7961i			0.570550i	0.958446	+	0.285275i	$0.0920849\pi$
$503$			12.7961i			0.570550i	−0.958446	+	0.285275i	$0.907915\pi$
$504$	−2.70143	+	22.2868i	−0.120331	+	0.992734i
$505$			21.7290i			0.966928i
$506$	18.1185	−	6.09493i	0.805467	−	0.270953i
$507$	−18.4641	+	12.9051i	−0.820021	+	0.573137i
$508$	25.0930	−	19.0363i	1.11332	−	0.844600i
$509$	35.1686	+	9.42339i	1.55882	+	0.417685i	0.932290	−	0.361712i	$-0.117808\pi$
$509$	35.1686	+	9.42339i	1.55882	+	0.417685i	0.626530	+	0.779397i	$0.284474\pi$
$510$	2.18048	−	2.95142i	0.0965533	−	0.130691i
$511$	17.7972	+	9.30040i	0.787303	+	0.411426i
$512$	19.1192	−	12.1020i	0.844955	−	0.534837i
$513$	−11.9790	−	0.0308439i	−0.528885	−	0.00136179i
$514$	−0.640624	−	10.2036i	−0.0282567	−	0.450063i
$515$	−33.1072	+	8.87106i	−1.45888	+	0.390905i
$516$	−34.0030	+	17.4271i	−1.49690	+	0.767186i
$517$	17.0298	−	17.0298i	0.748968	−	0.748968i
$518$	0.908827	−	1.12239i	0.0399316	−	0.0493150i
$519$	−11.8223	−	32.5684i	−0.518940	−	1.42959i
$520$	24.5216	−	21.1497i	1.07534	−	0.927477i
$521$	17.4257	−	30.1822i	0.763433	−	1.32231i	−0.177638	−	0.984096i	$-0.556845\pi$
$521$	17.4257	−	30.1822i	0.763433	−	1.32231i	0.941071	−	0.338209i	$-0.109821\pi$
$522$	36.1602	+	0.950560i	1.58269	+	0.0416049i
$523$	0.632992	−	2.36236i	0.0276788	−	0.103299i	−0.950705	−	0.310098i	$-0.899638\pi$
$523$	0.632992	−	2.36236i	0.0276788	−	0.103299i	0.978383	+	0.206799i	$0.0663047\pi$
$524$	−14.8331	+	6.04876i	−0.647986	+	0.264241i
$525$	−0.0236446	−	0.183046i	−0.00103194	−	0.00798877i
$526$	−31.6194	+	21.0019i	−1.37867	+	0.915727i
$527$	2.23704	+	3.87467i	0.0974472	+	0.168783i
$528$	10.0004	+	14.6484i	0.435210	+	0.637492i
$529$	2.43952	−	4.22537i	0.106066	−	0.183712i
$530$	12.7083	+	6.31054i	0.552015	+	0.274112i
$531$	14.8782	+	1.32741i	0.645657	+	0.0576046i
$532$	−5.07710	−	11.0921i	−0.220120	−	0.480904i
$533$	−13.8232	−	13.8232i	−0.598751	−	0.598751i
$534$	1.94201	+	2.43765i	0.0840388	+	0.105487i
$535$	−2.29783	+	3.97996i	−0.0993438	+	0.172069i
$536$	−0.270667	−	0.560461i	−0.0116910	−	0.0242082i
$537$	−28.8779	−	24.2737i	−1.24617	−	1.04749i
$538$	12.4149	+	2.50497i	0.535245	+	0.107997i
$539$	−6.07589	−	16.8589i	−0.261707	−	0.726163i
$540$	18.6240	−	14.0533i	0.801449	−	0.604759i
$541$	4.49522	−	16.7764i	0.193265	−	0.721273i	−0.799445	−	0.600740i	$-0.794873\pi$
$541$	4.49522	−	16.7764i	0.193265	−	0.721273i	0.992709	−	0.120534i	$-0.0384605\pi$
$542$	0.786952	+	12.5343i	0.0338025	+	0.538394i
$543$	−3.55578	−	0.630127i	−0.152593	−	0.0270413i
$544$	1.16411	+	3.59070i	0.0499106	+	0.153950i
$545$			40.6421i			1.74091i
$546$	−27.3838	−	18.5034i	−1.17192	−	0.791873i
$547$	14.6007	−	14.6007i	0.624283	−	0.624283i	−0.322341	−	0.946624i	$-0.604470\pi$
$547$	14.6007	−	14.6007i	0.624283	−	0.624283i	0.946624	+	0.322341i	$0.104470\pi$
$548$	31.3016	−	3.94603i	1.33714	−	0.168566i
$549$	10.3602	+	7.28080i	0.442161	+	0.310737i
$550$	−0.109366	−	0.0964442i	−0.00466337	−	0.00411240i
$551$	−17.0222	+	9.82775i	−0.725169	+	0.418676i
$552$	25.0686	+	6.37666i	1.06699	+	0.271409i
$553$	7.12210	−	4.52148i	0.302863	−	0.192273i
$554$	−22.2967	−	4.49882i	−0.947295	−	0.191137i
$555$	−1.49530	+	0.129529i	−0.0634720	+	0.00549819i
$556$	−3.47750	+	25.3373i	−0.147479	+	1.07454i
$557$	−9.91746	−	37.0125i	−0.420216	−	1.56827i	−0.774152	−	0.632999i	$-0.781824\pi$
$557$	−9.91746	−	37.0125i	−0.420216	−	1.56827i	0.353936	−	0.935270i	$-0.384843\pi$
$558$	6.63798	+	27.6615i	0.281008	+	1.17101i
$559$		−	56.2483i		−	2.37905i
$560$	20.9353	+	11.2350i	0.884677	+	0.474764i
$561$	−2.78123	+	1.00958i	−0.117423	+	0.0426245i
$562$	−9.55602	+	19.2442i	−0.403096	+	0.811767i
$563$	4.89708	−	1.31217i	0.206387	−	0.0553013i	−0.154144	−	0.988048i	$-0.549262\pi$
$563$	4.89708	−	1.31217i	0.206387	−	0.0553013i	0.360532	+	0.932747i	$0.382595\pi$
$564$	31.8604	−	6.85115i	1.34156	−	0.288485i
$565$	5.36107	+	1.43650i	0.225542	+	0.0604338i
$566$	−2.66467	+	13.2064i	−0.112004	+	0.555107i
$567$	−18.8182	−	14.5902i	−0.790292	−	0.612730i
$568$	4.97272	+	26.1234i	0.208651	+	1.09611i
$569$	20.6273	+	35.7275i	0.864741	+	1.49777i	0.867305	+	0.497778i	$0.165851\pi$
$569$	20.6273	+	35.7275i	0.864741	+	1.49777i	−0.00256403	+	0.999997i	$0.500816\pi$
$570$	−4.63749	+	11.7991i	−0.194243	+	0.494211i
$571$	35.4454	−	9.49756i	1.48334	−	0.397461i	0.575860	−	0.817548i	$-0.304667\pi$
$571$	35.4454	−	9.49756i	1.48334	−	0.397461i	0.907483	+	0.420088i	$0.138001\pi$
$572$	−25.9054	+	3.26576i	−1.08316	+	0.136548i
$573$	−3.94909	+	8.44990i	−0.164975	+	0.353000i
$574$	5.83352	−	13.1036i	0.243486	−	0.546932i
$575$	−0.212658			−0.00886846
$576$	0.610187	+	23.9922i	0.0254244	+	0.999677i
$577$	13.7506	−	23.8167i	0.572445	−	0.991504i	−0.423869	−	0.905723i	$-0.639328\pi$
$577$	13.7506	−	23.8167i	0.572445	−	0.991504i	0.996314	−	0.0857802i	$-0.0273383\pi$
$578$	23.3659	−	1.46700i	0.971895	−	0.0610193i
$579$	−31.3047	+	2.71173i	−1.30098	+	0.112696i
$580$	14.8443	−	35.2875i	0.616376	−	1.46523i
$581$	−34.1454	−	31.3879i	−1.41659	−	1.30219i
$582$	4.16276	−	0.625350i	0.172552	−	0.0259216i
$583$	−5.72037	−	9.90798i	−0.236914	−	0.410346i
$584$	20.2704	+	7.06779i	0.838797	+	0.292467i
$585$	5.90617	+	33.8351i	0.244190	+	1.39891i
$586$	−0.130690	+	0.0439632i	−0.00539877	+	0.00181610i
$587$	15.0816	−	15.0816i	0.622482	−	0.622482i	−0.323683	−	0.946166i	$-0.604921\pi$
$587$	15.0816	−	15.0816i	0.622482	−	0.622482i	0.946166	+	0.323683i	$0.104921\pi$
$588$	5.47336	−	23.6229i	0.225718	−	0.974193i
$589$	−10.9301	−	10.9301i	−0.450365	−	0.450365i
$590$	7.03088	−	14.1590i	0.289457	−	0.582916i
$591$	−4.77239	+	26.9304i	−0.196310	+	1.10777i
$592$	0.786611	−	1.32851i	0.0323295	−	0.0546013i
$593$	−31.1841	+	18.0041i	−1.28058	+	0.739342i	−0.976954	−	0.213450i	$-0.931530\pi$
$593$	−31.1841	+	18.0041i	−1.28058	+	0.739342i	−0.303623	+	0.952792i	$0.598196\pi$
$594$	−18.7784	+	1.13045i	−0.770488	+	0.0463829i
$595$	−2.68234	+	2.91799i	−0.109965	+	0.119626i
$596$	19.3098	−	7.87430i	0.790959	−	0.322544i
$597$	14.6313	−	1.26742i	0.598819	−	0.0518720i
$598$	−25.1861	+	28.5605i	−1.02994	+	1.16793i
$599$	23.0405	+	13.3024i	0.941408	+	0.543522i	0.890401	−	0.455176i	$-0.150424\pi$
$599$	23.0405	+	13.3024i	0.941408	+	0.543522i	0.0510063	+	0.998698i	$0.483757\pi$
$600$	−0.0534864	−	0.189922i	−0.00218357	−	0.00775353i
$601$			34.4231i			1.40415i	0.712104	+	0.702074i	$0.247743\pi$
$601$			34.4231i			1.40415i	−0.712104	+	0.702074i	$0.752257\pi$
$602$	38.5285	−	14.7913i	1.57031	−	0.602848i
$603$	0.657539	+	0.0586648i	0.0267771	+	0.00238901i
$604$	−17.6545	+	2.22561i	−0.718351	+	0.0905588i
$605$	−2.58350	−	9.64176i	−0.105034	−	0.391993i
$606$	21.7342	−	9.46985i	0.882890	−	0.384686i
$607$	−8.45687	+	4.88257i	−0.343254	+	0.198178i	−0.661710	−	0.749760i	$-0.730169\pi$
$607$	−8.45687	+	4.88257i	−0.343254	+	0.198178i	0.318456	+	0.947938i	$0.396836\pi$
$608$	−7.09558	−	10.9418i	−0.287764	−	0.443750i
$609$	−38.7242	−	5.19419i	−1.56918	−	0.210479i
$610$	11.1632	−	7.41469i	0.451983	−	0.300212i
$611$	−12.4168	+	46.3400i	−0.502329	+	1.87472i
$612$	−3.90241	−	0.894723i	−0.157746	−	0.0361670i
$613$	−0.571154	−	2.13158i	−0.0230687	−	0.0860935i	0.953432	−	0.301609i	$-0.0975236\pi$
$613$	−0.571154	−	2.13158i	−0.0230687	−	0.0860935i	−0.976500	+	0.215515i	$0.930857\pi$
$614$	−14.5959	−	43.3894i	−0.589041	−	1.75106i
$615$	−14.0119	+	5.08630i	−0.565015	+	0.205099i
$616$	−9.04916	−	16.8857i	−0.364601	−	0.680345i
$617$	1.95731			0.0787981			0.0393991	−	0.999224i	$-0.487456\pi$
$617$	1.95731			0.0787981			0.0393991	+	0.999224i	$0.487456\pi$
$618$	23.3018	+	29.2489i	0.937337	+	1.17657i
$619$	−29.6813	+	7.95308i	−1.19299	+	0.319661i	−0.800068	−	0.599910i	$-0.795203\pi$
$619$	−29.6813	+	7.95308i	−1.19299	+	0.319661i	−0.392924	+	0.919571i	$0.628536\pi$
$620$	29.8265	+	4.09364i	1.19786	+	0.164405i
$621$	−19.4501	+	19.3502i	−0.780504	+	0.776495i
$622$	−19.9088	+	13.2236i	−0.798269	+	0.530219i
$623$	−1.80426	−	2.84202i	−0.0722862	−	0.113863i
$624$	−31.8417	−	15.3100i	−1.27469	−	0.612891i
$625$	−12.5999	−	21.8236i	−0.503995	−	0.872945i
$626$	0.290876	+	4.63297i	0.0116257	+	0.185171i
$627$	8.37864	−	5.85608i	0.334611	−	0.233869i
$628$	−17.2695	−	13.4028i	−0.689129	−	0.534831i
$629$	0.182119	+	0.182119i	0.00726157	+	0.00726157i
$630$	−21.6230	+	12.9430i	−0.861481	+	0.515661i
$631$	9.95537			0.396317			0.198159	−	0.980170i	$-0.436504\pi$
$631$	9.95537			0.396317			0.198159	+	0.980170i	$0.436504\pi$
$632$	6.82933	−	5.89027i	0.271656	−	0.234302i
$633$	4.73113	+	0.838414i	0.188046	+	0.0333240i
$634$	−24.1176	+	27.3488i	−0.957831	+	1.08616i
$635$	34.1511	+	9.15077i	1.35525	+	0.363137i
$636$	0.773539	−	15.4616i	0.0306728	−	0.613092i
$637$	27.2731	+	23.0320i	1.08060	+	0.912561i
$638$	−25.7128	+	17.0787i	−1.01798	+	0.676152i
$639$	−26.4879	−	9.69235i	−1.04785	−	0.383423i
$640$	23.8904	+	8.62570i	0.944352	+	0.340961i
$641$	−8.34796	−	4.81970i	−0.329725	−	0.190367i	0.325994	−	0.945372i	$-0.394301\pi$
$641$	−8.34796	−	4.81970i	−0.329725	−	0.190367i	−0.655719	+	0.755005i	$0.727634\pi$
$642$	4.98233	+	0.563846i	0.196637	+	0.0222532i
$643$	5.49090	−	5.49090i	0.216540	−	0.216540i	−0.590499	−	0.807039i	$-0.701069\pi$
$643$	5.49090	−	5.49090i	0.216540	−	0.216540i	0.807039	+	0.590499i	$0.201069\pi$
$644$	−26.1862	−	9.74139i	−1.03188	−	0.383864i
$645$	−38.8563	−	18.1596i	−1.52997	−	0.715035i
$646$	2.06197	−	0.693631i	0.0811272	−	0.0272905i
$647$	−20.2778	−	11.7074i	−0.797203	−	0.460265i	0.0452890	−	0.998974i	$-0.485579\pi$
$647$	−20.2778	−	11.7074i	−0.797203	−	0.460265i	−0.842492	+	0.538708i	$0.818912\pi$
$648$	−22.1733	−	12.5038i	−0.871050	−	0.491194i
$649$	−11.0390	+	6.37334i	−0.433317	+	0.250176i
$650$	0.284728	+	0.0574497i	0.0111679	+	0.00225336i
$651$	−3.93629	−	30.4729i	−0.154275	−	1.19433i
$652$	−0.424999	−	1.04220i	−0.0166442	−	0.0408159i
$653$	13.8625	+	3.71443i	0.542480	+	0.145357i	0.519645	−	0.854382i	$-0.326064\pi$
$653$	13.8625	+	3.71443i	0.542480	+	0.145357i	0.0228347	+	0.999739i	$0.492731\pi$
$654$	40.6517	−	17.7125i	1.58961	−	0.692612i
$655$	−15.5727	−	8.99088i	−0.608474	−	0.351303i
$656$	4.13124	−	14.7667i	0.161298	−	0.576544i
$657$	−17.4675	+	14.6060i	−0.681474	+	0.569834i
$658$	−35.0068	+	3.68063i	−1.36471	+	0.143486i
$659$	21.5820	+	21.5820i	0.840715	+	0.840715i	0.988952	−	0.148237i	$-0.0473597\pi$
$659$	21.5820	+	21.5820i	0.840715	+	0.840715i	−0.148237	+	0.988952i	$0.547360\pi$
$660$	−6.10752	+	18.9498i	−0.237735	+	0.737621i
$661$	−9.69710	−	36.1901i	−0.377174	−	1.40763i	−0.850143	−	0.526552i	$-0.823485\pi$
$661$	−9.69710	−	36.1901i	−0.377174	−	1.40763i	0.472969	−	0.881079i	$-0.343182\pi$
$662$	−6.90544	−	6.08956i	−0.268388	−	0.236678i
$663$	3.79241	−	4.51175i	0.147285	−	0.175222i
$664$	−40.9977	−	27.8855i	−1.59102	−	1.08217i
$665$	6.34215	−	12.1363i	0.245938	−	0.470626i
$666$	0.781236	+	1.43921i	0.0302723	+	0.0557681i
$667$	−11.6514	+	43.4838i	−0.451145	+	1.68370i
$668$	−9.28565	+	7.04438i	−0.359273	+	0.272555i
$669$	9.51568	−	6.65079i	0.367898	−	0.257134i
$670$	0.310729	−	0.625755i	0.0120045	−	0.0241750i
$671$	−10.8057			−0.417148
$672$	2.11371	−	25.8366i	0.0815381	−	0.996670i
$673$	18.3475			0.707246			0.353623	−	0.935388i	$-0.384950\pi$
$673$	18.3475			0.707246			0.353623	+	0.935388i	$0.384950\pi$
$674$	9.55688	−	19.2459i	0.368117	−	0.741325i
$675$	0.202008	+	0.0546856i	0.00777527	+	0.00210485i
$676$	20.7234	−	15.7214i	0.797054	−	0.604670i
$677$	−3.17819	+	11.8612i	−0.122148	+	0.455862i	−0.999722	−	0.0235790i	$-0.992494\pi$
$677$	−3.17819	+	11.8612i	−0.122148	+	0.455862i	0.877574	+	0.479441i	$0.159161\pi$
$678$	−0.899605	−	5.98839i	−0.0345491	−	0.229983i
$679$	−4.54273	+	0.191152i	−0.174334	+	0.00733574i
$680$	−2.38303	+	3.50357i	−0.0913849	+	0.134356i
$681$	−9.71889	−	8.16935i	−0.372429	−	0.313050i
$682$	−18.2069	−	16.0558i	−0.697179	−	0.614807i
$683$	−8.92673	−	33.3150i	−0.341572	−	1.27476i	−0.896566	−	0.442909i	$-0.853946\pi$
$683$	−8.92673	−	33.3150i	−0.341572	−	1.27476i	0.554995	−	0.831854i	$-0.312720\pi$
$684$	13.8230	−	0.503660i	0.528536	−	0.0192579i
$685$	25.0422	+	25.0422i	0.956813	+	0.956813i
$686$	−8.60445	+	24.7379i	−0.328519	+	0.944497i
$687$	−5.92706	−	16.3280i	−0.226131	−	0.622954i
$688$	38.4490	−	21.6385i	1.46585	−	0.824960i
$689$	19.7367	+	11.3950i	0.751907	+	0.434114i
$690$	11.5984	+	26.6193i	0.441542	+	1.01338i
$691$	26.5098	+	7.10327i	1.00848	+	0.270221i	0.724994	−	0.688755i	$-0.241843\pi$
$691$	26.5098	+	7.10327i	1.00848	+	0.270221i	0.283485	+	0.958977i	$0.408509\pi$
$692$	15.1069	+	37.0459i	0.574279	+	1.40828i
$693$	20.2974	+	0.953238i	0.771033	+	0.0362105i
$694$	14.9278	+	3.01200i	0.566651	+	0.114334i
$695$	−24.8622	+	14.3542i	−0.943079	+	0.544487i
$696$	−41.7652	+	0.531015i	−1.58311	+	0.0201281i
$697$	2.21526	+	1.27898i	0.0839091	+	0.0484449i
$698$	−38.8251	+	13.0605i	−1.46955	+	0.494346i
$699$	13.9771	−	29.9068i	0.528661	−	1.13118i
$700$	0.0355217	+	0.210138i	0.00134259	+	0.00794246i
$701$	−8.09800	+	8.09800i	−0.305857	+	0.305857i	−0.843300	−	0.537443i	$-0.819390\pi$
$701$	−8.09800	+	8.09800i	−0.305857	+	0.305857i	0.537443	+	0.843300i	$0.319390\pi$
$702$	31.2691	−	20.6535i	1.18018	−	0.779514i
$703$	−0.770610	−	0.444912i	−0.0290641	−	0.0167802i
$704$	−12.1981	−	16.4515i	−0.459731	−	0.620041i
$705$	28.0030	+	23.5383i	1.05465	+	0.886503i
$706$	−21.0814	+	14.0025i	−0.793409	+	0.526991i
$707$	−24.4341	+	7.66165i	−0.918940	+	0.288146i
$708$	−17.2265	−	0.861837i	−0.647412	−	0.0323898i
$709$	−27.3273	−	7.32233i	−1.02630	−	0.274996i	−0.293874	−	0.955844i	$-0.594945\pi$
$709$	−27.3273	−	7.32233i	−1.02630	−	0.274996i	−0.732424	+	0.680849i	$0.761611\pi$
$710$	−19.7436	+	22.3888i	−0.740963	+	0.840237i
$711$	1.64489	+	9.42318i	0.0616881	+	0.353397i
$712$	−2.35046	−	2.72519i	−0.0880874	−	0.102131i
$713$	−35.4027			−1.32584
$714$	4.08769	+	1.41127i	0.152978	+	0.0528153i
$715$	−20.7251	−	20.7251i	−0.775075	−	0.775075i
$716$	34.4127	+	26.7076i	1.28606	+	0.998109i
$717$	24.1378	+	34.5355i	0.901444	+	1.28975i
$718$	−0.162058	−	2.58120i	−0.00604795	−	0.0963297i
$719$	−17.5953	−	30.4759i	−0.656193	−	1.13656i	−0.981593	−	0.190983i	$-0.938832\pi$
$719$	−17.5953	−	30.4759i	−0.656193	−	1.13656i	0.325400	−	0.945576i	$-0.394501\pi$
$720$	−20.8562	+	17.0534i	−0.777264	+	0.635544i
$721$	−21.6491	−	34.1009i	−0.806253	−	1.26999i
$722$	16.1217	−	10.7082i	0.599987	−	0.398518i
$723$	−13.4175	+	1.16228i	−0.499004	+	0.0432257i
$724$	4.13110	+	0.566987i	0.153531	+	0.0210719i
$725$	0.331689	−	0.0888758i	0.0123186	−	0.00330077i
$726$	−8.51812	+	6.78615i	−0.316137	+	0.251858i
$727$	−41.0669			−1.52309			−0.761543	−	0.648114i	$-0.775558\pi$
$727$	−41.0669			−1.52309			−0.761543	+	0.648114i	$0.775558\pi$
$728$	32.4290	+	20.1170i	1.20190	+	0.745584i
$729$	23.4519	−	13.3794i	0.868589	−	0.495534i
$730$	7.68319	+	22.8400i	0.284367	+	0.845345i
$731$	1.90491	+	7.10923i	0.0704558	+	0.262945i
$732$	−12.2815	−	7.93438i	−0.453939	−	0.293263i
$733$	0.938944	−	3.50419i	0.0346807	−	0.129430i	−0.946415	−	0.322953i	$-0.895325\pi$
$733$	0.938944	−	3.50419i	0.0346807	−	0.129430i	0.981096	+	0.193522i	$0.0619912\pi$
$734$	8.61787	−	5.72408i	0.318091	−	0.211280i
$735$	24.7156	−	11.4044i	0.911648	−	0.420658i
$736$	−29.2118	−	6.22904i	−1.07676	−	0.229606i
$737$	−0.487866	+	0.281670i	−0.0179708	+	0.0103754i
$738$	11.1941	+	11.7985i	0.412061	+	0.434310i
$739$	5.24365	+	19.5696i	0.192891	+	0.719878i	0.992803	+	0.119761i	$0.0382128\pi$
$739$	5.24365	+	19.5696i	0.192891	+	0.719878i	−0.799912	+	0.600117i	$0.795121\pi$
$740$	1.71948	−	0.216766i	0.0632094	−	0.00796848i
$741$	−8.62152	+	18.4476i	−0.316719	+	0.677688i
$742$	−2.61520	+	16.5155i	−0.0960071	+	0.606305i
$743$		−	33.4684i		−	1.22784i	−0.789370	−	0.613918i	$-0.789592\pi$
$743$		−	33.4684i		−	1.22784i	0.789370	−	0.613918i	$-0.210408\pi$
$744$	−8.90426	−	31.6177i	−0.326446	−	1.15916i
$745$	20.2726	+	11.7044i	0.742729	+	0.428815i
$746$	−24.4666	+	27.7446i	−0.895787	+	1.01580i
$747$	47.7009	−	22.1437i	1.74528	−	0.810195i
$748$	3.16359	−	1.29008i	0.115672	−	0.0471699i
$749$	−5.28565	−	1.18056i	−0.193134	−	0.0431368i
$750$	−16.2070	+	21.9372i	−0.591797	+	0.801035i
$751$	44.2193	−	25.5300i	1.61358	−	0.931603i	0.625054	−	0.780582i	$-0.285077\pi$
$751$	44.2193	−	25.5300i	1.61358	−	0.931603i	0.988530	−	0.151021i	$-0.0482563\pi$
$752$	−36.4528	+	9.33924i	−1.32930	+	0.340567i
$753$	32.3495	+	5.73272i	1.17888	+	0.208912i
$754$	27.3473	−	55.0727i	0.995928	−	2.00563i
$755$	−14.1241	−	14.1241i	−0.514029	−	0.514029i
$756$	22.3697	+	15.9874i	0.813579	+	0.581455i
$757$	−14.0332	+	14.0332i	−0.510044	+	0.510044i	−0.914540	−	0.404496i	$-0.867447\pi$
$757$	−14.0332	+	14.0332i	−0.510044	+	0.510044i	0.404496	+	0.914540i	$0.367447\pi$
$758$	−4.53971	+	1.52712i	−0.164890	+	0.0554676i
$759$	4.08532	−	23.0533i	0.148288	−	0.836781i
$760$	4.81969	−	13.8229i	0.174828	−	0.501408i
$761$	−17.7411	−	30.7285i	−0.643115	−	1.11391i	−0.984733	−	0.174069i	$-0.944308\pi$
$761$	−17.7411	−	30.7285i	−0.643115	−	1.11391i	0.341619	−	0.939839i	$-0.389025\pi$
$762$	−5.73067	−	38.1473i	−0.207600	−	1.38193i
$763$	−45.7018	+	14.3304i	−1.65451	+	0.518795i
$764$	4.17616	−	9.92746i	0.151088	−	0.359163i
$765$	−1.89235	−	4.07641i	−0.0684180	−	0.147383i
$766$	19.5217	−	1.22565i	0.705349	−	0.0442845i
$767$	12.6957	−	21.9896i	0.458415	−	0.793998i
$768$	−1.78409	−	27.6553i	−0.0643776	−	0.997926i
$769$	12.1013			0.436385			0.218192	−	0.975906i	$-0.429984\pi$
$769$	12.1013			0.436385			0.218192	+	0.975906i	$0.429984\pi$
$770$	8.74616	−	19.6461i	0.315190	−	0.707996i
$771$	−11.3437	−	5.30153i	−0.408535	−	0.190930i
$772$	35.9980	−	4.53808i	1.29560	−	0.163329i
$773$	−13.2170	+	3.54148i	−0.475382	+	0.127378i	−0.488552	−	0.872535i	$-0.662475\pi$
$773$	−13.2170	+	3.54148i	−0.475382	+	0.127378i	0.0131695	+	0.999913i	$0.495808\pi$
$774$	−1.22972	+	46.7798i	−0.0442015	+	1.68147i
$775$	0.135024	+	0.233868i	0.00485020	+	0.00840080i
$776$	−4.77494	+	0.908935i	−0.171410	+	0.0326289i
$777$	−0.672898	−	1.63579i	−0.0241401	−	0.0586835i
$778$	−7.98279	+	39.5636i	−0.286197	+	1.41842i
$779$	−8.53634	−	2.28731i	−0.305846	−	0.0819512i
$780$	−8.33780	−	38.7738i	−0.298541	−	1.38833i
$781$	23.2490	−	6.22956i	0.831916	−	0.222911i
$782$	2.21604	−	4.46273i	0.0792455	−	0.159587i
$783$	22.2499	−	38.3098i	0.795145	−	1.36908i
$784$	−5.25188	+	27.5031i	−0.187567	+	0.982252i
$785$		−	24.5388i		−	0.875827i
$786$	−2.20620	+	19.4947i	−0.0786925	+	0.695354i
$787$	10.7713	+	40.1989i	0.383954	+	1.43294i	0.839808	+	0.542883i	$0.182667\pi$
$787$	10.7713	+	40.1989i	0.383954	+	1.43294i	−0.455854	+	0.890055i	$0.650666\pi$
$788$	4.29419	−	31.2878i	0.152974	−	1.11458i
$789$	4.01210	+	46.3163i	0.142834	+	1.64890i
$790$	9.92364	+	2.00230i	0.353067	+	0.0712387i
$791$	0.274984	+	6.53500i	0.00977731	+	0.232358i
$792$	21.6161	−	2.14967i	0.768094	−	0.0763852i
$793$	18.6411	−	10.7624i	0.661964	−	0.382185i
$794$	−14.4169	−	12.7135i	−0.511635	−	0.451186i
$795$	14.2436	−	9.95527i	0.505168	−	0.353077i
$796$	−16.8249	+	2.12102i	−0.596341	+	0.0751776i
$797$	14.2514	−	14.2514i	0.504811	−	0.504811i	−0.408118	−	0.912929i	$-0.633815\pi$
$797$	14.2514	−	14.2514i	0.504811	−	0.504811i	0.912929	+	0.408118i	$0.133815\pi$
$798$	−14.9032	−	1.05445i	−0.527568	−	0.0373273i
$799$		−	6.27744i		−	0.222080i
$800$	0.0702634	+	0.216729i	0.00248419	+	0.00766251i
$801$	3.76024	−	0.656379i	0.132862	−	0.0231920i
$802$	−1.56155	−	24.8718i	−0.0551402	−	0.878253i
$803$	5.02894	−	18.7682i	0.177467	−	0.662317i
$804$	−0.761325	−	0.0380888i	−0.0268499	−	0.00134329i
$805$	−9.38373	−	29.9261i	−0.330733	−	1.05476i
$806$	47.4007	+	9.56407i	1.66962	+	0.336880i
$807$	9.98081	−	11.8740i	0.351341	−	0.417983i
$808$	−24.6511	+	11.9049i	−0.867222	+	0.418814i
$809$	−15.2421	+	26.4002i	−0.535885	+	0.928181i	0.463235	+	0.886236i	$0.346689\pi$
$809$	−15.2421	+	26.4002i	−0.535885	+	0.928181i	−0.999120	+	0.0419449i	$0.986645\pi$
$810$	−4.17225	−	28.2687i	−0.146598	−	0.993259i
$811$	−22.2635	−	22.2635i	−0.781776	−	0.781776i	0.198355	−	0.980130i	$-0.436440\pi$
$811$	−22.2635	−	22.2635i	−0.781776	−	0.781776i	−0.980130	+	0.198355i	$0.936440\pi$
$812$	44.9146	+	4.24997i	1.57619	+	0.149145i
$813$	13.9348	+	6.51248i	0.488716	+	0.228403i
$814$	−1.25161	−	0.621506i	−0.0438688	−	0.0217838i
$815$	0.631718	−	1.09417i	0.0221281	−	0.0383271i
$816$	4.54297	+	0.856680i	0.159036	+	0.0299898i
$817$	−12.7140	−	22.0213i	−0.444807	−	0.770428i
$818$	23.8501	−	15.8415i	0.833899	−	0.553885i
$819$	−35.9648	+	18.5717i	−1.25671	+	0.648948i
$820$	15.9383	−	6.49945i	0.556589	−	0.226971i
$821$	−8.49182	+	31.6919i	−0.296366	+	1.10605i	0.643760	+	0.765228i	$0.277374\pi$
$821$	−8.49182	+	31.6919i	−0.296366	+	1.10605i	−0.940126	+	0.340827i	$0.889293\pi$
$822$	14.1344	−	35.9619i	0.492992	−	1.25432i
$823$	−0.318984	+	0.552496i	−0.0111191	+	0.0192588i	−0.871531	−	0.490340i	$-0.836873\pi$
$823$	−0.318984	+	0.552496i	−0.0111191	+	0.0192588i	0.860412	+	0.509598i	$0.170206\pi$
$824$	−28.2029	−	32.6991i	−0.982493	−	1.13913i
$825$	−0.167870	+	0.0609365i	−0.00584448	+	0.00212154i
$826$	18.4008	+	2.91372i	0.640245	+	0.101381i
$827$	−17.3446	+	17.3446i	−0.603131	+	0.603131i	−0.941142	−	0.338011i	$-0.890246\pi$
$827$	−17.3446	+	17.3446i	−0.603131	+	0.603131i	0.338011	+	0.941142i	$0.390246\pi$
$828$	21.5709	−	23.2022i	0.749639	−	0.806333i
$829$	10.2658	−	2.75072i	0.356547	−	0.0955366i	−0.0760990	−	0.997100i	$-0.524247\pi$
$829$	10.2658	−	2.75072i	0.356547	−	0.0955366i	0.432646	+	0.901564i	$0.357580\pi$
$830$	−3.48754	−	55.5482i	−0.121054	−	1.92811i
$831$	−17.9251	+	21.3251i	−0.621816	+	0.739761i
$832$	37.4288	+	16.2316i	1.29761	+	0.562731i
$833$	−4.22706	−	1.98739i	−0.146459	−	0.0688589i
$834$	25.1930	+	18.6124i	0.872362	+	0.644493i
$835$	−12.6376	−	3.38624i	−0.437343	−	0.117186i
$836$	−9.40385	+	7.13405i	−0.325239	+	0.246736i
$837$	33.6297	+	9.10391i	1.16241	+	0.314677i
$838$	−23.3046	+	7.83949i	−0.805045	+	0.270811i
$839$			7.99577i			0.276045i	0.990429	+	0.138022i	$0.0440746\pi$
$839$			7.99577i			0.276045i	−0.990429	+	0.138022i	$0.955925\pi$
$840$	24.3665	−	15.9073i	0.840723	−	0.548854i
$841$		−	43.6924i		−	1.50663i
$842$	−3.66447	−	10.8935i	−0.126286	−	0.375413i
$843$	15.0752	+	21.5690i	0.519218	+	0.742876i
$844$	−5.49663	−	0.754404i	−0.189202	−	0.0259676i
$845$	28.2042	+	7.55730i	0.970255	+	0.259979i
$846$	11.3397	−	38.2680i	0.389868	−	1.31568i
$847$	9.93116	−	6.30482i	0.341239	−	0.216636i
$848$	−0.196505	+	17.8748i	−0.00674801	+	0.613822i
$849$	12.6310	+	10.6171i	0.433493	+	0.364379i
$850$	−0.0379324	+	0.00238154i	−0.00130107	+	8.16863e-5i
$851$	−1.96855	+	0.527472i	−0.0674811	+	0.0180815i
$852$	30.9987	+	9.99087i	1.06200	+	0.342281i
$853$	−14.3792	+	14.3792i	−0.492334	+	0.492334i	−0.909041	−	0.416707i	$-0.863184\pi$
$853$	−14.3792	+	14.3792i	−0.492334	+	0.492334i	0.416707	+	0.909041i	$0.363184\pi$
$854$	12.2739	+	9.93849i	0.420005	+	0.340088i
$855$	9.96015	+	11.9115i	0.340630	+	0.407365i
$856$	−5.77411	−	0.426293i	−0.197355	−	0.0145704i
$857$	9.88759	−	17.1258i	0.337754	−	0.585007i	−0.646256	−	0.763121i	$-0.723666\pi$
$857$	9.88759	−	17.1258i	0.337754	−	0.585007i	0.984010	+	0.178114i	$0.0569996\pi$
$858$	−11.6977	+	29.7624i	−0.399353	+	1.01607i
$859$	−14.5894	+	54.4483i	−0.497783	+	1.85775i	0.0160676	+	0.999871i	$0.494885\pi$
$859$	−14.5894	+	54.4483i	−0.497783	+	1.85775i	−0.513850	+	0.857880i	$0.671781\pi$
$860$	45.6508	+	19.2038i	1.55668	+	0.654845i
$861$	−10.6601	−	13.9629i	−0.363296	−	0.475853i
$862$	−5.45638	−	8.21483i	−0.185845	−	0.279798i
$863$	−16.4791	−	28.5427i	−0.560956	−	0.971604i	−0.997413	−	0.0718794i	$-0.977100\pi$
$863$	−16.4791	−	28.5427i	−0.560956	−	0.971604i	0.436457	−	0.899725i	$-0.356233\pi$
$864$	26.1469	+	13.4290i	0.889537	+	0.456863i
$865$	−22.4549	+	38.8930i	−0.763490	+	1.32240i
$866$	−22.3023	+	44.9130i	−0.757863	+	1.52620i
$867$	12.1403	−	25.9767i	0.412306	−	0.882216i
$868$	5.91356	+	34.9832i	0.200719	+	1.18741i
$869$	−5.77201	−	5.77201i	−0.195802	−	0.195802i
$870$	−29.2152	−	36.6716i	−0.990490	−	1.24328i
$871$	0.561085	−	0.971828i	0.0190116	−	0.0329291i
$872$	−46.1075	+	22.2670i	−1.56140	+	0.754057i
$873$	1.77161	−	4.84158i	0.0599599	−	0.163863i
$874$	−3.40476	+	16.8744i	−0.115168	+	0.570785i
$875$	19.9372	−	21.6888i	0.674001	−	0.733214i
$876$	19.4969	−	17.6390i	0.658741	−	0.595968i
$877$	3.53982	−	13.2108i	0.119531	−	0.446097i	−0.880055	−	0.474872i	$-0.842494\pi$
$877$	3.53982	−	13.2108i	0.119531	−	0.446097i	0.999586	+	0.0287758i	$0.00916089\pi$
$878$	−33.4098	+	2.09760i	−1.12753	+	0.0707905i
$879$	−0.0294678	+	0.166285i	−0.000993923	+	0.00560866i
$880$	6.19394	−	22.1397i	0.208798	−	0.746328i
$881$		−	19.4275i		−	0.654531i	−0.944933	−	0.327265i	$-0.893873\pi$
$881$		−	19.4275i		−	0.654531i	0.944933	−	0.327265i	$-0.106127\pi$
$882$	−22.1786	−	19.7512i	−0.746791	−	0.665058i
$883$	−24.9710	+	24.9710i	−0.840340	+	0.840340i	−0.988903	−	0.148563i	$-0.952535\pi$
$883$	−24.9710	+	24.9710i	−0.840340	+	0.840340i	0.148563	+	0.988903i	$0.452535\pi$
$884$	−4.17267	+	5.37648i	−0.140342	+	0.180830i
$885$	−11.0916	−	15.8695i	−0.372841	−	0.533447i
$886$	−0.727833	+	0.825348i	−0.0244520	+	0.0277281i
$887$	−4.81704	+	2.78112i	−0.161740	+	0.0933808i	−0.578685	−	0.815551i	$-0.696434\pi$
$887$	−4.81704	+	2.78112i	−0.161740	+	0.0933808i	0.416945	+	0.908932i	$0.363101\pi$
$888$	−0.966196	−	1.62542i	−0.0324234	−	0.0545456i
$889$	1.75171	+	41.6293i	0.0587503	+	1.39620i
$890$	0.799002	−	3.95995i	0.0267826	−	0.132738i
$891$	−9.80893	+	20.8482i	−0.328612	+	0.698439i
$892$	−10.6800	+	8.10219i	−0.357593	+	0.271281i
$893$	5.61322	+	20.9488i	0.187839	+	0.701025i
$894$	2.87204	−	25.3783i	0.0960554	−	0.848778i
$895$			48.8980i			1.63448i
$896$	−1.27578	+	29.9061i	−0.0426208	+	0.999091i
$897$	15.9134	+	43.8387i	0.531332	+	1.46373i
$898$	−22.5429	−	11.1940i	−0.752265	−	0.373550i
$899$	55.2187	−	14.7958i	1.84165	−	0.493468i
$900$	−0.235543	−	0.0540039i	−0.00785142	−	0.00180013i
$901$	−2.88043	−	0.771808i	−0.0959609	−	0.0257127i
$902$	−13.6046	−	2.74501i	−0.452984	−	0.0913989i
$903$	6.71964	−	50.0968i	0.223616	−	1.66712i
$904$	1.30756	+	6.86905i	0.0434888	+	0.228461i
$905$	2.34038	+	4.05365i	0.0777967	+	0.134748i
$906$	−7.97196	+	20.2830i	−0.264851	+	0.673857i
$907$	−17.6355	+	4.72542i	−0.585577	+	0.156905i	−0.539431	−	0.842030i	$-0.681361\pi$
$907$	−17.6355	+	4.72542i	−0.585577	+	0.156905i	−0.0461460	+	0.998935i	$0.514694\pi$
$908$	11.5816	+	8.98847i	0.384350	+	0.298293i
$909$	2.58029	−	28.9209i	0.0855827	−	0.959247i
$910$	4.47930	+	42.6030i	0.148487	+	1.41228i
$911$	−13.0107			−0.431064			−0.215532	−	0.976497i	$-0.569149\pi$
$911$	−13.0107			−0.431064			−0.215532	+	0.976497i	$0.569149\pi$
$912$	−15.9266	+	1.20339i	−0.527384	+	0.0398483i
$913$	−22.4388	+	38.8652i	−0.742617	+	1.28625i
$914$	1.98024	+	31.5405i	0.0655004	+	1.04327i
$915$	−1.41646	−	16.3519i	−0.0468269	−	0.540577i
$916$	7.57380	+	18.5729i	0.250245	+	0.613664i
$917$	4.61927	−	20.6815i	0.152542	−	0.682965i
$918$	−3.25266	+	3.66936i	−0.107354	+	0.121107i
$919$	5.92435	+	10.2613i	0.195426	+	0.338488i	0.947040	−	0.321115i	$-0.104058\pi$
$919$	5.92435	+	10.2613i	0.195426	+	0.338488i	−0.751614	+	0.659603i	$0.770724\pi$
$920$	−14.5807	−	30.1918i	−0.480713	−	0.995395i
$921$	−55.2070	−	9.78335i	−1.81913	−	0.322372i
$922$	1.16219	+	3.45486i	0.0382747	+	0.113780i
$923$	−33.9028	+	33.9028i	−1.11592	+	1.11592i
$924$	−23.4625	−	0.186159i	−0.771859	−	0.00612417i
$925$	0.0109924	+	0.0109924i	0.000361428	+	0.000361428i
$926$	5.49064	+	2.72647i	0.180434	+	0.0895973i
$927$	45.1186	−	7.87579i	1.48189	−	0.258675i
$928$	48.1658	−	2.49281i	1.58112	−	0.0818304i
$929$	51.0093	−	29.4502i	1.67356	−	0.966230i	0.707940	−	0.706272i	$-0.249625\pi$
$929$	51.0093	−	29.4502i	1.67356	−	0.966230i	0.965620	−	0.259958i	$-0.0837087\pi$
$930$	21.9101	−	29.6567i	0.718459	−	0.972481i
$931$	15.8835	+	2.85244i	0.520559	+	0.0934851i
$932$	−14.7808	+	35.1364i	−0.484160	+	1.15093i
$933$	2.52617	+	29.1625i	0.0827032	+	0.954739i
$934$	−4.87953	−	4.30301i	−0.159663	−	0.140799i
$935$	3.32133	+	1.91757i	0.108619	+	0.0627113i
$936$	−35.1493	+	25.2380i	−1.14889	+	0.824931i
$937$		−	24.9670i		−	0.815635i	−0.913063	−	0.407818i	$-0.866290\pi$
$937$		−	24.9670i		−	0.815635i	0.913063	−	0.407818i	$-0.133710\pi$
$938$	0.813221	+	0.128772i	0.0265526	+	0.00420455i
$939$	5.15064	+	2.40717i	0.168085	+	0.0785549i
$940$	−33.3701	−	25.8984i	−1.08841	−	0.844713i
$941$	8.42711	+	31.4504i	0.274716	+	1.02525i	0.956031	+	0.293264i	$0.0947415\pi$
$941$	8.42711	+	31.4504i	0.274716	+	1.02525i	−0.681315	+	0.731990i	$0.738592\pi$
$942$	−24.5446	+	10.6944i	−0.799707	+	0.348442i
$943$	−17.5290	+	10.1204i	−0.570823	+	0.329565i
$944$	19.9151	+	0.218936i	0.648183	+	0.00712575i
$945$	1.21818	+	30.8404i	0.0396274	+	1.00324i
$946$	−22.0944	−	33.2642i	−0.718352	−	1.08151i
$947$	13.2961	−	49.6217i	0.432065	−	1.61249i	−0.315928	−	0.948783i	$-0.602316\pi$
$947$	13.2961	−	49.6217i	0.432065	−	1.61249i	0.747993	−	0.663706i	$-0.231017\pi$
$948$	−2.32210	−	10.7986i	−0.0754184	−	0.350723i
$949$	10.0176	+	37.3863i	0.325186	+	1.21361i
$950$	0.124457	−	0.0418663i	0.00403792	−	0.00135832i
$951$	15.2382	+	41.9788i	0.494134	+	1.36126i
$952$	−4.78000	−	1.44434i	−0.154921	−	0.0468113i
$953$	1.27888			0.0414271			0.0207136	−	0.999785i	$-0.493406\pi$
$953$	1.27888			0.0414271			0.0207136	+	0.999785i	$0.493406\pi$
$954$	−16.1652	−	9.90832i	−0.523368	−	0.320794i
$955$	11.6778	−	3.12905i	0.377884	−	0.101254i
$956$	−29.4054	−	38.7612i	−0.951040	−	1.25363i
$957$	3.26262	+	37.6643i	0.105466	+	1.21751i
$958$	−3.75265	−	5.64979i	−0.121243	−	0.182536i
$959$	−19.3299	+	36.9897i	−0.624196	+	1.19446i
$960$	23.2966	−	20.6155i	0.751896	−	0.665363i
$961$	6.97842	+	12.0870i	0.225110	+	0.389902i
$962$	2.77819	−	0.174426i	0.0895724	−	0.00562371i
$963$	3.53099	−	5.02439i	0.113784	−	0.161909i
$964$	15.4292	−	1.94507i	0.496940	−	0.0626465i
$965$	28.7995	+	28.7995i	0.927087	+	0.927087i
$966$	−25.8436	+	22.4282i	−0.831505	+	0.721617i
$967$	13.9426			0.448364			0.224182	−	0.974547i	$-0.428029\pi$
$967$	13.9426			0.448364			0.224182	+	0.974547i	$0.428029\pi$
$968$	9.52292	−	8.21347i	0.306078	−	0.263991i
$969$	0.464928	−	2.62357i	0.0149356	−	0.0842812i
$970$	−4.09232	−	3.60882i	−0.131397	−	0.115872i
$971$	44.2274	+	11.8507i	1.41932	+	0.380307i	0.885244	−	0.465127i	$-0.153991\pi$
$971$	44.2274	+	11.8507i	1.41932	+	0.380307i	0.534080	+	0.845434i	$0.320658\pi$
$972$	−26.4570	+	16.4932i	−0.848610	+	0.529019i
$973$	−24.9077	−	22.8961i	−0.798503	−	0.734017i
$974$	−7.66370	−	11.5381i	−0.245561	−	0.369703i
$975$	0.228903	−	0.272321i	0.00733077	−	0.00872125i
$976$	14.5279	+	8.60200i	0.465027	+	0.275343i
$977$	1.23350	+	0.712161i	0.0394632	+	0.0227841i	0.519602	−	0.854409i	$-0.326080\pi$
$977$	1.23350	+	0.712161i	0.0394632	+	0.0227841i	−0.480139	+	0.877193i	$0.659414\pi$
$978$	−1.36974	−	0.155012i	−0.0437995	−	0.00495675i
$979$	−2.30327	+	2.30327i	−0.0736129	+	0.0736129i
$980$	−28.0040	+	14.2713i	−0.894555	+	0.455879i
$981$	4.82618	−	54.0939i	0.154088	−	1.72709i
$982$	−1.87909	−	5.58600i	−0.0599641	−	0.178256i
$983$	25.8941	+	14.9499i	0.825892	+	0.476829i	0.852444	−	0.522818i	$-0.175119\pi$
$983$	25.8941	+	14.9499i	0.825892	+	0.476829i	−0.0265520	+	0.999647i	$0.508453\pi$
$984$	−13.4472	−	13.1095i	−0.428680	−	0.417916i
$985$	30.7011	−	17.7253i	0.978220	−	0.564775i
$986$	−1.59133	+	7.88680i	−0.0506782	+	0.251167i
$987$	−16.5948	+	39.7888i	−0.528218	+	1.26649i
$988$	9.11727	−	21.6733i	0.290059	−	0.689520i
$989$	−56.2542	−	15.0733i	−1.78878	−	0.479302i
$990$	16.7833	+	17.6895i	0.533408	+	0.562209i
$991$	−17.9557	−	10.3667i	−0.570380	−	0.329309i	0.186921	−	0.982375i	$-0.440149\pi$
$991$	−17.9557	−	10.3667i	−0.570380	−	0.329309i	−0.757301	+	0.653066i	$0.773483\pi$
$992$	11.6972	+	36.0804i	0.371388	+	1.14555i
$993$	−10.5994	+	3.84758i	−0.336363	+	0.122099i
$994$	−32.1377	−	14.3072i	−1.01934	−	0.453798i
$995$	−13.4604	−	13.4604i	−0.426723	−	0.426723i
$996$	−54.0415	+	27.6972i	−1.71237	+	0.877619i
$997$	−4.47495	−	16.7007i	−0.141723	−	0.528918i	−0.999879	−	0.0155294i	$-0.995057\pi$
$997$	−4.47495	−	16.7007i	−0.141723	−	0.528918i	0.858156	−	0.513389i	$-0.171610\pi$
$998$	27.4783	−	31.1599i	0.869811	−	0.986348i
$999$	2.00560	+	0.00516409i	0.0634545	+	0.000163385i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	336.2.bu.a.179.22	yes	240
3.2	odd	2	inner	336.2.bu.a.179.39	yes	240
7.2	even	3	inner	336.2.bu.a.275.60	yes	240
16.11	odd	4	inner	336.2.bu.a.11.1	✓	240
21.2	odd	6	inner	336.2.bu.a.275.1	yes	240
48.11	even	4	inner	336.2.bu.a.11.60	yes	240
112.107	odd	12	inner	336.2.bu.a.107.39	yes	240
336.107	even	12	inner	336.2.bu.a.107.22	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
336.2.bu.a.11.1	✓	240	16.11	odd	4	inner
336.2.bu.a.11.60	yes	240	48.11	even	4	inner
336.2.bu.a.107.22	yes	240	336.107	even	12	inner
336.2.bu.a.107.39	yes	240	112.107	odd	12	inner
336.2.bu.a.179.22	yes	240	1.1	even	1	trivial
336.2.bu.a.179.39	yes	240	3.2	odd	2	inner
336.2.bu.a.275.1	yes	240	21.2	odd	6	inner
336.2.bu.a.275.60	yes	240	7.2	even	3	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 336 = 2^{4} \cdot 3 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	336.bu (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.628974 + 1.26665i) q^{2} +(0.992245 + 1.41967i) q^{3} +(-1.20878 - 1.59337i) q^{4} +(0.581063 - 2.16856i) q^{5} +(-2.42231 + 0.363891i) q^{6} +(2.64341 - 0.111231i) q^{7} +(2.77853 - 0.528909i) q^{8} +(-1.03090 + 2.81731i) q^{9} +O(q^{10})\)	\(q+(-0.628974 + 1.26665i) q^{2} +(0.992245 + 1.41967i) q^{3} +(-1.20878 - 1.59337i) q^{4} +(0.581063 - 2.16856i) q^{5} +(-2.42231 + 0.363891i) q^{6} +(2.64341 - 0.111231i) q^{7} +(2.77853 - 0.528909i) q^{8} +(-1.03090 + 2.81731i) q^{9} +(2.38132 + 2.09997i) q^{10} +(-0.662589 - 2.47281i) q^{11} +(1.06265 - 3.29709i) q^{12} +(3.60597 + 3.60597i) q^{13} +(-1.52175 + 3.41823i) q^{14} +(3.65518 - 1.32683i) q^{15} +(-1.07769 + 3.85209i) q^{16} +(-0.577879 - 0.333639i) q^{17} +(-2.92013 - 3.07780i) q^{18} +(2.22681 + 0.596672i) q^{19} +(-4.15770 + 1.69546i) q^{20} +(2.78082 + 3.64239i) q^{21} +(3.54893 + 0.716071i) q^{22} +(4.57267 - 2.64003i) q^{23} +(3.50786 + 3.41978i) q^{24} +(-0.0348798 - 0.0201378i) q^{25} +(-6.83554 + 2.29942i) q^{26} +(-5.02254 + 1.33194i) q^{27} +(-3.37255 - 4.07749i) q^{28} +(-6.02878 + 6.02878i) q^{29} +(-0.618397 + 5.46436i) q^{30} +(-5.80669 - 3.35249i) q^{31} +(-4.20140 - 3.78791i) q^{32} +(2.85312 - 3.39429i) q^{33} +(0.786073 - 0.522118i) q^{34} +(1.29478 - 5.79702i) q^{35} +(5.73517 - 1.76291i) q^{36} +(-0.372828 - 0.0998989i) q^{37} +(-2.15638 + 2.44529i) q^{38} +(-1.54126 + 8.69727i) q^{39} +(0.467536 - 6.33274i) q^{40} -3.83344 q^{41} +(-6.36269 + 1.23135i) q^{42} +(-7.79933 - 7.79933i) q^{43} +(-3.13919 + 4.04485i) q^{44} +(5.51049 + 3.87260i) q^{45} +(0.467894 + 7.45246i) q^{46} +(4.70377 + 8.14716i) q^{47} +(-6.53801 + 2.29226i) q^{48} +(6.97526 - 0.588060i) q^{49} +(0.0474460 - 0.0315141i) q^{50} +(-0.0997428 - 1.15145i) q^{51} +(1.38682 - 10.1045i) q^{52} +(4.31668 - 1.15665i) q^{53} +(1.47196 - 7.19954i) q^{54} -5.74745 q^{55} +(7.28598 - 1.70718i) q^{56} +(1.36247 + 3.75337i) q^{57} +(-3.84438 - 11.4283i) q^{58} +(-1.28868 - 4.80943i) q^{59} +(-6.53245 - 4.22023i) q^{60} +(1.09245 - 4.07706i) q^{61} +(7.89868 - 5.24639i) q^{62} +(-2.41172 + 7.56199i) q^{63} +(7.44051 - 2.93918i) q^{64} +(9.91504 - 5.72445i) q^{65} +(2.50483 + 5.74881i) q^{66} +(-0.0569532 - 0.212552i) q^{67} +(0.166919 + 1.32408i) q^{68} +(8.28517 + 3.87210i) q^{69} +(6.52839 + 5.28620i) q^{70} +9.40185i q^{71} +(-1.37428 + 8.37325i) q^{72} +(6.57299 + 3.79492i) q^{73} +(0.361036 - 0.409407i) q^{74} +(-0.00602030 - 0.0694993i) q^{75} +(-1.74101 - 4.26939i) q^{76} +(-2.02655 - 6.46297i) q^{77} +(-10.0469 - 7.42259i) q^{78} +(2.76137 - 1.59428i) q^{79} +(7.72727 + 4.57533i) q^{80} +(-6.87450 - 5.80872i) q^{81} +(2.41113 - 4.85560i) q^{82} +(-12.3956 - 12.3956i) q^{83} +(2.44228 - 8.83376i) q^{84} +(-1.05930 + 1.05930i) q^{85} +(14.7846 - 4.97341i) q^{86} +(-14.5409 - 2.57682i) q^{87} +(-3.14892 - 6.52035i) q^{88} +(-0.636184 - 1.10190i) q^{89} +(-8.37116 + 4.54407i) q^{90} +(9.93315 + 9.13096i) q^{91} +(-9.73392 - 4.09475i) q^{92} +(-1.00224 - 11.5700i) q^{93} +(-13.2781 + 0.833652i) q^{94} +(2.58784 - 4.48227i) q^{95} +(1.20875 - 9.72311i) q^{96} -1.71851 q^{97} +(-3.64239 + 9.20505i) q^{98} +(7.64975 + 0.682500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7}+O(q^{10}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7	\( 240 q - 2 q^{3} - 4 q^{4} - 8 q^{6} - 16 q^{7} - 4 q^{10} - 2 q^{12} - 16 q^{13} - 20 q^{16} + 16 q^{18} - 4 q^{19} + 2 q^{21} - 40 q^{22} - 22 q^{24} - 8 q^{27} - 4 q^{28} - 26 q^{30} - 4 q^{33} + 16 q^{36} - 4 q^{37} - 4 q^{39} + 8 q^{40} - 18 q^{42} - 16 q^{43} + 18 q^{45} - 20 q^{46} - 88 q^{48} - 16 q^{49} + 6 q^{51} + 8 q^{52} + 14 q^{54} - 32 q^{55} - 36 q^{58} - 42 q^{60} - 4 q^{61} - 64 q^{64} - 30 q^{66} - 36 q^{67} - 20 q^{69} + 116 q^{70} - 46 q^{72} - 24 q^{75} - 112 q^{76} - 92 q^{78} - 4 q^{81} - 32 q^{82} + 44 q^{84} - 56 q^{85} - 4 q^{87} - 20 q^{88} + 28 q^{90} - 40 q^{91} - 14 q^{93} + 72 q^{94} + 36 q^{96} - 32 q^{97} + 28 q^{99}+O(q^{100}) \) 240 * q - 2 * q^3 - 4 * q^4 - 8 * q^6 - 16 * q^7 - 4 * q^10 - 2 * q^12 - 16 * q^13 - 20 * q^16 + 16 * q^18 - 4 * q^19 + 2 * q^21 - 40 * q^22 - 22 * q^24 - 8 * q^27 - 4 * q^28 - 26 * q^30 - 4 * q^33 + 16 * q^36 - 4 * q^37 - 4 * q^39 + 8 * q^40 - 18 * q^42 - 16 * q^43 + 18 * q^45 - 20 * q^46 - 88 * q^48 - 16 * q^49 + 6 * q^51 + 8 * q^52 + 14 * q^54 - 32 * q^55 - 36 * q^58 - 42 * q^60 - 4 * q^61 - 64 * q^64 - 30 * q^66 - 36 * q^67 - 20 * q^69 + 116 * q^70 - 46 * q^72 - 24 * q^75 - 112 * q^76 - 92 * q^78 - 4 * q^81 - 32 * q^82 + 44 * q^84 - 56 * q^85 - 4 * q^87 - 20 * q^88 + 28 * q^90 - 40 * q^91 - 14 * q^93 + 72 * q^94 + 36 * q^96 - 32 * q^97 + 28 * q^99

Introduction

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