LMFDB - Embedded newform 280.2.br.a.107.30

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

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

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (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:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.30
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.30

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.678016 + 1.24109i) q^{2} +(-1.44903 - 0.388267i) q^{3} +(-1.08059 + 1.68295i) q^{4} +(-1.54128 - 1.62002i) q^{5} +(-0.500594 - 2.06162i) q^{6} +(0.445401 - 2.60799i) q^{7} +(-2.82134 - 0.200036i) q^{8} +(-0.649136 - 0.374779i) q^{9} +O(q^{10})$	\(q+(0.678016 + 1.24109i) q^{2} +(-1.44903 - 0.388267i) q^{3} +(-1.08059 + 1.68295i) q^{4} +(-1.54128 - 1.62002i) q^{5} +(-0.500594 - 2.06162i) q^{6} +(0.445401 - 2.60799i) q^{7} +(-2.82134 - 0.200036i) q^{8} +(-0.649136 - 0.374779i) q^{9} +(0.965578 - 3.01126i) q^{10} +(1.03683 + 1.79585i) q^{11} +(2.21924 - 2.01909i) q^{12} +(-3.78195 - 3.78195i) q^{13} +(3.53873 - 1.21548i) q^{14} +(1.60436 + 2.94589i) q^{15} +(-1.66465 - 3.63716i) q^{16} +(0.443598 - 1.65553i) q^{17} +(0.0250083 - 1.05974i) q^{18} +(-1.96616 - 1.13516i) q^{19} +(4.39190 - 0.843314i) q^{20} +(-1.65800 + 3.60613i) q^{21} +(-1.52581 + 2.50441i) q^{22} +(6.69701 - 1.79446i) q^{23} +(4.01055 + 1.38529i) q^{24} +(-0.248941 + 4.99380i) q^{25} +(2.12951 - 7.25795i) q^{26} +(3.97740 + 3.97740i) q^{27} +(3.90783 + 3.56776i) q^{28} -8.01124 q^{29} +(-2.56832 + 3.98850i) q^{30} +(-3.76977 + 2.17648i) q^{31} +(3.38537 - 4.53203i) q^{32} +(-0.805136 - 3.00481i) q^{33} +(2.35542 - 0.571932i) q^{34} +(-4.91149 + 3.29807i) q^{35} +(1.33218 - 0.687482i) q^{36} +(-1.02252 - 3.81608i) q^{37} +(0.0757473 - 3.20983i) q^{38} +(4.01176 + 6.94858i) q^{39} +(4.02441 + 4.87895i) q^{40} -1.76232 q^{41} +(-5.59966 + 0.387295i) q^{42} +(-7.50054 + 7.50054i) q^{43} +(-4.14272 - 0.195633i) q^{44} +(0.393347 + 1.62925i) q^{45} +(6.76776 + 7.09490i) q^{46} +(-0.286684 - 1.06992i) q^{47} +(0.999948 + 5.91669i) q^{48} +(-6.60324 - 2.32320i) q^{49} +(-6.36652 + 3.07692i) q^{50} +(-1.28557 + 2.22668i) q^{51} +(10.4516 - 2.27811i) q^{52} +(2.20994 - 8.24761i) q^{53} +(-2.23955 + 7.63303i) q^{54} +(1.31127 - 4.44759i) q^{55} +(-1.77832 + 7.26895i) q^{56} +(2.40828 + 2.40828i) q^{57} +(-5.43175 - 9.94264i) q^{58} +(8.33605 - 4.81282i) q^{59} +(-6.69144 - 0.483242i) q^{60} +(7.39983 + 4.27229i) q^{61} +(-5.25716 - 3.20292i) q^{62} +(-1.26655 + 1.52601i) q^{63} +(7.91997 + 1.12874i) q^{64} +(-0.297816 + 11.9559i) q^{65} +(3.18333 - 3.03655i) q^{66} +(0.866905 - 3.23533i) q^{67} +(2.30683 + 2.53550i) q^{68} -10.4009 q^{69} +(-7.42326 - 3.85943i) q^{70} +5.34585i q^{71} +(1.75647 + 1.18723i) q^{72} +(0.565523 + 0.151531i) q^{73} +(4.04280 - 3.85639i) q^{74} +(2.29965 - 7.13952i) q^{75} +(4.03503 - 2.08230i) q^{76} +(5.14536 - 1.90418i) q^{77} +(-5.90374 + 9.69019i) q^{78} +(3.44100 - 5.95998i) q^{79} +(-3.32659 + 8.30264i) q^{80} +(-3.09475 - 5.36026i) q^{81} +(-1.19488 - 2.18719i) q^{82} +(9.12181 - 9.12181i) q^{83} +(-4.27732 - 6.68707i) q^{84} +(-3.36570 + 1.83299i) q^{85} +(-14.3943 - 4.22333i) q^{86} +(11.6085 + 3.11050i) q^{87} +(-2.56603 - 5.27411i) q^{88} +(6.29757 + 3.63590i) q^{89} +(-1.75535 + 1.59284i) q^{90} +(-11.5478 + 8.17882i) q^{91} +(-4.21673 + 13.2098i) q^{92} +(6.30756 - 1.69011i) q^{93} +(1.13349 - 1.08122i) q^{94} +(1.19140 + 4.93481i) q^{95} +(-6.66514 + 5.25263i) q^{96} +(-10.7087 - 10.7087i) q^{97} +(-1.59380 - 9.77035i) q^{98} -1.55433i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	0.678016	+	1.24109i	0.479430	+	0.877580i
$2$	0.678016	+	1.24109i	0.479430	+	0.877580i
$3$	−1.44903	−	0.388267i	−0.836599	−	0.224166i	−0.185008	−	0.982737i	$-0.559231\pi$
$3$	−1.44903	−	0.388267i	−0.836599	−	0.224166i	−0.651590	+	0.758571i	$0.725898\pi$
$4$	−1.08059	+	1.68295i	−0.540295	+	0.841476i
$5$	−1.54128	−	1.62002i	−0.689279	−	0.724496i
$5$	−1.54128	−	1.62002i	−0.689279	−	0.724496i
$6$	−0.500594	−	2.06162i	−0.204366	−	0.841654i
$7$	0.445401	−	2.60799i	0.168346	−	0.985728i
$7$	0.445401	−	2.60799i	0.168346	−	0.985728i
$8$	−2.82134	−	0.200036i	−0.997496	−	0.0707235i
$9$	−0.649136	−	0.374779i	−0.216379	−	0.124926i
$10$	0.965578	−	3.01126i	0.305342	−	0.952243i
$11$	1.03683	+	1.79585i	0.312617	+	0.541469i	0.978928	−	0.204205i	$-0.0654610\pi$
$11$	1.03683	+	1.79585i	0.312617	+	0.541469i	−0.666311	+	0.745674i	$0.732128\pi$
$12$	2.21924	−	2.01909i	0.640640	−	0.582862i
$13$	−3.78195	−	3.78195i	−1.04893	−	1.04893i	−0.998740	−	0.0501853i	$-0.984019\pi$
$13$	−3.78195	−	3.78195i	−1.04893	−	1.04893i	−0.0501853	−	0.998740i	$-0.515981\pi$
$14$	3.53873	−	1.21548i	0.945765	−	0.324850i
$15$	1.60436	+	2.94589i	0.414243	+	0.760625i
$16$	−1.66465	−	3.63716i	−0.416164	−	0.909290i
$17$	0.443598	−	1.65553i	0.107588	−	0.401525i	−0.891038	−	0.453929i	$-0.850022\pi$
$17$	0.443598	−	1.65553i	0.107588	−	0.401525i	0.998626	+	0.0524045i	$0.0166885\pi$
$18$	0.0250083	−	1.05974i	0.00589452	−	0.249783i
$19$	−1.96616	−	1.13516i	−0.451067	−	0.260424i	0.257214	−	0.966355i	$-0.417196\pi$
$19$	−1.96616	−	1.13516i	−0.451067	−	0.260424i	−0.708281	+	0.705931i	$0.750529\pi$
$20$	4.39190	−	0.843314i	0.982060	−	0.188571i
$21$	−1.65800	+	3.60613i	−0.361804	+	0.786921i
$22$	−1.52581	+	2.50441i	−0.325304	+	0.533943i
$23$	6.69701	−	1.79446i	1.39642	−	0.374170i	0.519364	−	0.854553i	$-0.326169\pi$
$23$	6.69701	−	1.79446i	1.39642	−	0.374170i	0.877059	+	0.480383i	$0.159502\pi$
$24$	4.01055	+	1.38529i	0.818650	+	0.282772i
$25$	−0.248941	+	4.99380i	−0.0497883	+	0.998760i
$26$	2.12951	−	7.25795i	0.417630	−	1.42340i
$27$	3.97740	+	3.97740i	0.765450	+	0.765450i
$28$	3.90783	+	3.56776i	0.738510	+	0.674242i
$29$	−8.01124			−1.48765			−0.743825	−	0.668375i	$-0.766990\pi$
$29$	−8.01124			−1.48765			−0.743825	+	0.668375i	$0.766990\pi$
$30$	−2.56832	+	3.98850i	−0.468909	+	0.728197i
$31$	−3.76977	+	2.17648i	−0.677070	+	0.390907i	−0.798750	−	0.601663i	$-0.794505\pi$
$31$	−3.76977	+	2.17648i	−0.677070	+	0.390907i	0.121680	+	0.992569i	$0.461172\pi$
$32$	3.38537	−	4.53203i	0.598454	−	0.801157i
$33$	−0.805136	−	3.00481i	−0.140156	−	0.523070i
$34$	2.35542	−	0.571932i	0.403951	−	0.0980855i
$35$	−4.91149	+	3.29807i	−0.830193	+	0.557476i
$36$	1.33218	−	0.687482i	0.222031	−	0.114580i
$37$	−1.02252	−	3.81608i	−0.168100	−	0.627359i	−0.997624	−	0.0688883i	$-0.978055\pi$
$37$	−1.02252	−	3.81608i	−0.168100	−	0.627359i	0.829524	−	0.558471i	$-0.188612\pi$
$38$	0.0757473	−	3.20983i	0.0122878	−	0.520703i
$39$	4.01176	+	6.94858i	0.642396	+	1.11266i
$40$	4.02441	+	4.87895i	0.636314	+	0.771430i
$41$	−1.76232			−0.275228			−0.137614	−	0.990486i	$-0.543943\pi$
$41$	−1.76232			−0.275228			−0.137614	+	0.990486i	$0.543943\pi$
$42$	−5.59966	+	0.387295i	−0.864046	+	0.0597609i
$43$	−7.50054	+	7.50054i	−1.14382	+	1.14382i	−0.156077	+	0.987745i	$0.549885\pi$
$43$	−7.50054	+	7.50054i	−1.14382	+	1.14382i	−0.987745	+	0.156077i	$0.950115\pi$
$44$	−4.14272	−	0.195633i	−0.624538	−	0.0294928i
$45$	0.393347	+	1.62925i	0.0586367	+	0.242874i
$46$	6.76776	+	7.09490i	0.997851	+	1.04609i
$47$	−0.286684	−	1.06992i	−0.0418172	−	0.156064i	0.941860	−	0.336005i	$-0.109076\pi$
$47$	−0.286684	−	1.06992i	−0.0418172	−	0.156064i	−0.983677	+	0.179941i	$0.942409\pi$
$48$	0.999948	+	5.91669i	0.144330	+	0.854000i
$49$	−6.60324	−	2.32320i	−0.943319	−	0.331886i
$50$	−6.36652	+	3.07692i	−0.900362	+	0.435142i
$51$	−1.28557	+	2.22668i	−0.180016	+	0.311797i
$52$	10.4516	−	2.27811i	1.44937	−	0.315917i
$53$	2.20994	−	8.24761i	0.303559	−	1.13290i	−0.630620	−	0.776091i	$-0.717200\pi$
$53$	2.20994	−	8.24761i	0.303559	−	1.13290i	0.934179	−	0.356805i	$-0.116134\pi$
$54$	−2.23955	+	7.63303i	−0.304765	+	1.03872i
$55$	1.31127	−	4.44759i	0.176811	−	0.599713i
$56$	−1.77832	+	7.26895i	−0.237638	+	0.971354i
$57$	2.40828	+	2.40828i	0.318984	+	0.318984i
$58$	−5.43175	−	9.94264i	−0.713223	−	1.30553i
$59$	8.33605	−	4.81282i	1.08526	−	0.626576i	0.152951	−	0.988234i	$-0.451122\pi$
$59$	8.33605	−	4.81282i	1.08526	−	0.626576i	0.932311	+	0.361658i	$0.117789\pi$
$60$	−6.69144	−	0.483242i	−0.863861	−	0.0623863i
$61$	7.39983	+	4.27229i	0.947451	+	0.547011i	0.892288	−	0.451466i	$-0.149099\pi$
$61$	7.39983	+	4.27229i	0.947451	+	0.547011i	0.0551627	+	0.998477i	$0.482432\pi$
$62$	−5.25716	−	3.20292i	−0.667660	−	0.406771i
$63$	−1.26655	+	1.52601i	−0.159570	+	0.192260i
$64$	7.91997	+	1.12874i	0.989996	+	0.141093i
$65$	−0.297816	+	11.9559i	−0.0369395	+	1.48294i
$66$	3.18333	−	3.03655i	0.391841	−	0.373774i
$67$	0.866905	−	3.23533i	0.105909	−	0.395259i	−0.892537	−	0.450973i	$-0.851077\pi$
$67$	0.866905	−	3.23533i	0.105909	−	0.395259i	0.998447	+	0.0557143i	$0.0177436\pi$
$68$	2.30683	+	2.53550i	0.279744	+	0.307475i
$69$	−10.4009			−1.25212
$70$	−7.42326	−	3.85943i	−0.887249	−	0.461291i
$71$			5.34585i			0.634435i	0.948353	+	0.317218i	$0.102749\pi$
$71$			5.34585i			0.634435i	−0.948353	+	0.317218i	$0.897251\pi$
$72$	1.75647	+	1.18723i	0.207002	+	0.139916i
$73$	0.565523	+	0.151531i	0.0661894	+	0.0177354i	0.291762	−	0.956491i	$-0.405759\pi$
$73$	0.565523	+	0.151531i	0.0661894	+	0.0177354i	−0.225572	+	0.974226i	$0.572425\pi$
$74$	4.04280	−	3.85639i	0.469966	−	0.448296i
$75$	2.29965	−	7.13952i	0.265541	−	0.824400i
$76$	4.03503	−	2.08230i	0.462849	−	0.238857i
$77$	5.14536	−	1.90418i	0.586369	−	0.217001i
$78$	−5.90374	+	9.69019i	−0.668467	+	1.09720i
$79$	3.44100	−	5.95998i	0.387143	−	0.670551i	−0.604921	−	0.796285i	$-0.706795\pi$
$79$	3.44100	−	5.95998i	0.387143	−	0.670551i	0.992064	+	0.125735i	$0.0401288\pi$
$80$	−3.32659	+	8.30264i	−0.371924	+	0.928263i
$81$	−3.09475	−	5.36026i	−0.343861	−	0.595584i
$82$	−1.19488	−	2.18719i	−0.131953	−	0.241535i
$83$	9.12181	−	9.12181i	1.00125	−	1.00125i	0.00124987	−	0.999999i	$-0.499602\pi$
$83$	9.12181	−	9.12181i	1.00125	−	1.00125i	0.999999	−	0.00124987i	$-0.000397847\pi$
$84$	−4.27732	−	6.68707i	−0.466694	−	0.729619i
$85$	−3.36570	+	1.83299i	−0.365061	+	0.198815i
$86$	−14.3943	−	4.22333i	−1.55218	−	0.455414i
$87$	11.6085	+	3.11050i	1.24457	+	0.333480i
$88$	−2.56603	−	5.27411i	−0.273540	−	0.562222i
$89$	6.29757	+	3.63590i	0.667541	+	0.385405i	0.795144	−	0.606420i	$-0.207395\pi$
$89$	6.29757	+	3.63590i	0.667541	+	0.385405i	−0.127603	+	0.991825i	$0.540728\pi$
$90$	−1.75535	+	1.59284i	−0.185030	+	0.167900i
$91$	−11.5478	+	8.17882i	−1.21054	+	0.857373i
$92$	−4.21673	+	13.2098i	−0.439624	+	1.37722i
$93$	6.30756	−	1.69011i	0.654064	−	0.175256i
$94$	1.13349	−	1.08122i	0.116910	−	0.111520i
$95$	1.19140	+	4.93481i	0.122235	+	0.506301i
$96$	−6.66514	+	5.25263i	−0.680258	+	0.536094i
$97$	−10.7087	−	10.7087i	−1.08731	−	1.08731i	−0.995805	−	0.0915005i	$-0.970834\pi$
$97$	−10.7087	−	10.7087i	−1.08731	−	1.08731i	−0.0915005	−	0.995805i	$-0.529166\pi$
$98$	−1.59380	−	9.77035i	−0.160998	−	0.986955i
$99$		−	1.55433i		−	0.156216i
$100$	−8.13532	−	5.81520i	−0.813532	−	0.581520i
$101$	−5.95456	+	3.43786i	−0.592500	+	0.342080i	−0.766086	−	0.642739i	$-0.777798\pi$
$101$	−5.95456	+	3.43786i	−0.592500	+	0.342080i	0.173585	+	0.984819i	$0.444465\pi$
$102$	−3.63514	−	0.0857841i	−0.359932	−	0.00849389i
$103$	−11.1957	+	2.99987i	−1.10314	+	0.295586i	−0.764044	−	0.645164i	$-0.776789\pi$
$103$	−11.1957	+	2.99987i	−1.10314	+	0.295586i	−0.339099	+	0.940751i	$0.610122\pi$
$104$	9.91367	+	11.4267i	0.972115	+	1.12048i
$105$	8.39743	−	2.87204i	0.819505	−	0.280283i
$106$	11.7344	−	2.84928i	1.13974	−	0.276747i
$107$	8.80346	−	2.35888i	0.851063	−	0.228042i	0.193181	−	0.981163i	$-0.438119\pi$
$107$	8.80346	−	2.35888i	0.851063	−	0.228042i	0.657881	+	0.753122i	$0.271453\pi$
$108$	−10.9917	+	2.39584i	−1.05768	+	0.230539i
$109$	5.94516	+	10.2973i	0.569443	+	0.986304i	0.996621	+	0.0821366i	$0.0261744\pi$
$109$	5.94516	+	10.2973i	0.569443	+	0.986304i	−0.427178	+	0.904167i	$0.640492\pi$
$110$	6.40890	−	1.38814i	0.611065	−	0.132354i
$111$			5.92663i			0.562530i
$112$	−10.2271	+	2.72141i	−0.966372	+	0.257149i
$113$	12.1159	−	12.1159i	1.13976	−	1.13976i	0.151272	−	0.988492i	$-0.451663\pi$
$113$	12.1159	−	12.1159i	1.13976	−	1.13976i	0.988492	−	0.151272i	$-0.0483369\pi$
$114$	−1.35603	+	4.62173i	−0.127004	+	0.432864i
$115$	−13.2290	−	8.08355i	−1.23361	−	0.753795i
$116$	8.65686	−	13.4825i	0.803769	−	1.25182i
$117$	1.03761	+	3.87240i	0.0959267	+	0.358003i
$118$	11.6251	+	7.08259i	1.07018	+	0.652005i
$119$	−4.12003	−	1.89427i	−0.377682	−	0.173648i
$120$	−3.93716	−	8.63229i	−0.359411	−	0.788017i
$121$	3.34995	−	5.80229i	0.304541	−	0.527481i
$122$	−0.285083	+	12.0805i	−0.0258102	+	1.09372i
$123$	2.55366	+	0.684251i	0.230256	+	0.0616968i
$124$	0.410665	−	8.69621i	0.0368788	−	0.780943i
$125$	8.47375	−	7.29353i	0.757915	−	0.652353i
$126$	−2.75265	−	0.537230i	−0.245226	−	0.0478603i
$127$	3.12715	−	3.12715i	0.277490	−	0.277490i	−0.554616	−	0.832106i	$-0.687135\pi$
$127$	3.12715	−	3.12715i	0.277490	−	0.277490i	0.832106	+	0.554616i	$0.187135\pi$
$128$	3.96900	+	10.5947i	0.350813	+	0.936445i
$129$	13.7807	−	7.95631i	1.21333	−	0.700514i
$130$	−15.0402	+	7.73666i	−1.31911	+	0.678550i
$131$	−1.04516	+	1.81027i	−0.0913159	+	0.158164i	−0.908065	−	0.418829i	$-0.862441\pi$
$131$	−1.04516	+	1.81027i	−0.0913159	+	0.158164i	0.816749	+	0.576993i	$0.195774\pi$
$132$	5.92697	+	1.89196i	0.515876	+	0.164674i
$133$	−3.83622	+	4.62212i	−0.332642	+	0.400788i
$134$	4.60310	−	1.11770i	0.397648	−	0.0965549i
$135$	0.313206	−	12.5737i	0.0269565	−	1.08217i
$136$	−1.58271	+	4.58208i	−0.135716	+	0.392910i
$137$	0.00373506	−	0.0139394i	0.000319108	−	0.00119093i	−0.965766	−	0.259414i	$-0.916470\pi$
$137$	0.00373506	−	0.0139394i	0.000319108	−	0.00119093i	0.966085	+	0.258224i	$0.0831371\pi$
$138$	−7.05198	−	12.9084i	−0.600304	−	1.09884i
$139$		−	2.69071i		−	0.228223i	−0.993468	−	0.114112i	$-0.963598\pi$
$139$		−	2.69071i		−	0.228223i	0.993468	−	0.114112i	$-0.0364021\pi$
$140$	−0.243198	−	11.8297i	−0.0205540	−	0.999789i
$141$			1.66166i			0.139937i
$142$	−6.63466	+	3.62457i	−0.556768	+	0.304167i
$143$	2.87056	−	10.7131i	0.240048	−	0.895872i
$144$	−0.282543	+	2.98489i	−0.0235453	+	0.248741i
$145$	12.3475	+	12.9784i	1.02541	+	1.07780i
$146$	0.195370	+	0.804603i	0.0161689	+	0.0665894i
$147$	8.66627	+	5.93021i	0.714782	+	0.489116i
$148$	7.52720	+	2.40277i	0.618732	+	0.197506i
$149$	6.00081	−	10.3937i	0.491605	−	0.851485i	−0.508348	−	0.861152i	$-0.669744\pi$
$149$	6.00081	−	10.3937i	0.491605	−	0.851485i	0.999953	+	0.00966656i	$0.00307701\pi$
$150$	10.4200	−	1.98664i	0.850785	−	0.162209i
$151$	−0.148194	+	0.0855599i	−0.0120599	+	0.00696277i	−0.506018	−	0.862523i	$-0.668883\pi$
$151$	−0.148194	+	0.0855599i	−0.0120599	+	0.00696277i	0.493958	+	0.869486i	$0.335550\pi$
$152$	5.32013	+	3.59598i	0.431520	+	0.291673i
$153$	−0.908412	+	0.908412i	−0.0734408	+	0.0734408i
$154$	5.85189	+	5.09477i	0.471559	+	0.410549i
$155$	9.33619	+	2.75256i	0.749901	+	0.221091i
$156$	−16.0292	−	0.756953i	−1.28336	−	0.0606048i
$157$	2.97194	+	0.796329i	0.237187	+	0.0635539i	0.375454	−	0.926841i	$-0.377487\pi$
$157$	2.97194	+	0.796329i	0.237187	+	0.0635539i	−0.138268	+	0.990395i	$0.544153\pi$
$158$	9.72991	+	0.229612i	0.774070	+	0.0182669i
$159$	−6.40454	+	11.0930i	−0.507913	+	0.879732i
$160$	−12.5598	+	1.50074i	−0.992937	+	0.118644i
$161$	−1.69708	−	18.2650i	−0.133748	−	1.43948i
$162$	4.55425	−	7.47518i	0.357816	−	0.587306i
$163$	−0.224684	−	0.838533i	−0.0175986	−	0.0656790i	0.956568	−	0.291509i	$-0.0941573\pi$
$163$	−0.224684	−	0.838533i	−0.0175986	−	0.0656790i	−0.974167	+	0.225830i	$0.927491\pi$
$164$	1.90434	−	2.96590i	0.148704	−	0.231598i
$165$	−3.62692	+	5.93557i	−0.282355	+	0.462084i
$166$	17.5057	+	5.13622i	1.35870	+	0.398648i
$167$	−10.5373	+	10.5373i	−0.815405	+	0.815405i	−0.985438	−	0.170034i	$-0.945612\pi$
$167$	−10.5373	+	10.5373i	−0.815405	+	0.815405i	0.170034	+	0.985438i	$0.445612\pi$
$168$	5.39913	−	9.84247i	0.416552	−	0.759363i
$169$			15.6063i			1.20049i
$170$	−4.55689	−	2.93433i	−0.349498	−	0.225053i
$171$	0.850868	+	1.47375i	0.0650675	+	0.112700i
$172$	−4.51805	−	20.7281i	−0.344498	−	1.58050i
$173$	−16.3343	+	4.37676i	−1.24187	+	0.332759i	−0.819192	−	0.573520i	$-0.805578\pi$
$173$	−16.3343	+	4.37676i	−1.24187	+	0.332759i	−0.422681	+	0.906278i	$0.638911\pi$
$174$	4.01038	+	16.5162i	0.304026	+	1.25209i
$175$	12.9129	+	2.87348i	0.976124	+	0.217215i
$176$	4.80582	−	6.76059i	0.362252	−	0.509599i
$177$	−13.9479	+	3.73732i	−1.04839	+	0.280914i
$178$	−0.242617	+	10.2810i	−0.0181849	+	0.770595i
$179$	7.00502	−	4.04435i	0.523579	−	0.302289i	−0.214818	−	0.976654i	$-0.568916\pi$
$179$	7.00502	−	4.04435i	0.523579	−	0.302289i	0.738398	+	0.674365i	$0.235583\pi$
$180$	−3.16700	−	1.09857i	−0.236054	−	0.0818823i
$181$		−	8.36290i		−	0.621609i	−0.950474	−	0.310805i	$-0.899401\pi$
$181$		−	8.36290i		−	0.621609i	0.950474	−	0.310805i	$-0.100599\pi$
$182$	−17.9802	−	8.78643i	−1.33278	−	0.651294i
$183$	−9.06379	−	9.06379i	−0.670015	−	0.670015i
$184$	−19.2535	+	3.72314i	−1.41939	+	0.274474i
$185$	−4.60615	+	7.53812i	−0.338651	+	0.554214i
$186$	6.37420	+	6.68231i	0.467379	+	0.489971i
$187$	3.43302	−	0.919874i	0.251047	−	0.0672678i
$188$	2.11041	+	0.673668i	0.153918	+	0.0491323i
$189$	12.1446	−	8.60148i	0.883386	−	0.625666i
$190$	−5.31674	+	4.82451i	−0.385717	+	0.350007i
$191$	1.50699	+	0.870062i	0.109042	+	0.0629555i	0.553529	−	0.832830i	$-0.313281\pi$
$191$	1.50699	+	0.870062i	0.109042	+	0.0629555i	−0.444487	+	0.895785i	$0.646614\pi$
$192$	−11.0380	−	4.71064i	−0.796601	−	0.339961i
$193$	−23.8454	−	6.38935i	−1.71643	−	0.459916i	−0.739443	−	0.673220i	$-0.764911\pi$
$193$	−23.8454	−	6.38935i	−1.71643	−	0.459916i	−0.976986	+	0.213304i	$0.931577\pi$
$194$	6.02976	−	20.5511i	0.432912	−	1.47548i
$195$	5.07362	−	17.2088i	0.363329	−	1.23235i
$196$	11.0452	−	8.60250i	0.788945	−	0.614464i
$197$	4.28848	−	4.28848i	0.305542	−	0.305542i	−0.537636	−	0.843177i	$-0.680682\pi$
$197$	4.28848	−	4.28848i	0.305542	−	0.305542i	0.843177	+	0.537636i	$0.180682\pi$
$198$	1.92906	−	1.05386i	0.137092	−	0.0748947i
$199$	−10.1676	−	17.6107i	−0.720760	−	1.24839i	−0.960696	−	0.277604i	$-0.910460\pi$
$199$	−10.1676	−	17.6107i	−0.720760	−	1.24839i	0.239936	−	0.970789i	$-0.422874\pi$
$200$	1.70129	−	14.0394i	0.120299	−	0.992738i
$201$	−2.51235	+	4.35151i	−0.177207	+	0.306932i
$202$	−8.30397	−	5.05919i	−0.584265	−	0.355963i
$203$	−3.56821	+	20.8932i	−0.250439	+	1.46642i
$204$	−2.35822	−	4.56968i	−0.165108	−	0.319942i
$205$	2.71622	+	2.85500i	0.189709	+	0.199402i
$206$	−11.3139	−	11.8608i	−0.788280	−	0.826384i
$207$	−5.01979	−	1.34505i	−0.348900	−	0.0934874i
$208$	−7.45992	+	20.0512i	−0.517253	+	1.39030i
$209$		−	4.70789i		−	0.325652i
$210$	9.25804	+	8.47464i	0.638866	+	0.584806i
$211$	−14.9290			−1.02775			−0.513877	−	0.857864i	$-0.671791\pi$
$211$	−14.9290			−1.02775			−0.513877	+	0.857864i	$0.671791\pi$
$212$	11.4923	+	12.6315i	0.789294	+	0.867535i
$213$	2.07562	−	7.74630i	0.142219	−	0.530768i
$214$	8.89646	+	9.32649i	0.608149	+	0.637546i
$215$	23.7114	+	0.590642i	1.61711	+	0.0402815i
$216$	−10.4260	−	12.0172i	−0.709398	−	0.817669i
$217$	3.99717	+	10.8009i	0.271346	+	0.733215i
$218$	−8.74894	+	14.3602i	−0.592553	+	0.972595i
$219$	−0.760626	−	0.439147i	−0.0513983	−	0.0296748i
$220$	6.06814	+	7.01282i	0.409114	+	0.472804i
$221$	−7.93880	+	4.58347i	−0.534022	+	0.308317i
$222$	−7.35545	+	4.01835i	−0.493666	+	0.269694i
$223$	−15.3643	−	15.3643i	−1.02887	−	1.02887i	−0.999571	−	0.0292986i	$-0.990673\pi$
$223$	−15.3643	−	15.3643i	−1.02887	−	1.02887i	−0.0292986	−	0.999571i	$-0.509327\pi$
$224$	−10.3117	−	10.8476i	−0.688976	−	0.724784i
$225$	2.03317	−	3.14836i	0.135544	−	0.209890i
$226$	23.2516	+	6.82208i	1.54667	+	0.453798i
$227$	0.589897	−	2.20153i	0.0391528	−	0.146120i	−0.943582	−	0.331138i	$-0.892567\pi$
$227$	0.589897	−	2.20153i	0.0391528	−	0.146120i	0.982735	+	0.185017i	$0.0592342\pi$
$228$	−6.65537	+	1.45066i	−0.440763	+	0.0960720i
$229$	−2.58512	+	4.47756i	−0.170830	+	0.295886i	−0.938710	−	0.344707i	$-0.887978\pi$
$229$	−2.58512	+	4.47756i	−0.170830	+	0.295886i	0.767881	+	0.640593i	$0.221311\pi$
$230$	1.06291	−	21.8991i	0.0700862	−	1.44398i
$231$	−8.19512	+	0.761443i	−0.539199	+	0.0500993i
$232$	22.6025	+	1.60254i	1.48392	+	0.105212i
$233$	0.562420	+	2.09898i	0.0368454	+	0.137509i	0.981898	−	0.189408i	$-0.0606569\pi$
$233$	0.562420	+	2.09898i	0.0368454	+	0.137509i	−0.945053	+	0.326917i	$0.893990\pi$
$234$	−4.10246	+	3.91330i	−0.268187	+	0.255821i
$235$	−1.29143	+	2.11347i	−0.0842439	+	0.137868i
$236$	−0.908100	+	19.2299i	−0.0591123	+	1.25176i
$237$	−7.30018	+	7.30018i	−0.474198	+	0.474198i
$238$	−0.442487	−	6.39765i	−0.0286822	−	0.414698i
$239$	−11.9844			−0.775206			−0.387603	−	0.921826i	$-0.626697\pi$
$239$	−11.9844			−0.775206			−0.387603	+	0.921826i	$0.626697\pi$
$240$	8.04397	−	10.7392i	0.519236	−	0.693211i
$241$	7.04995	+	12.2109i	0.454127	+	0.786571i	0.998638	−	0.0521828i	$-0.0166179\pi$
$241$	7.04995	+	12.2109i	0.454127	+	0.786571i	−0.544510	+	0.838754i	$0.683285\pi$
$242$	9.47246	+	0.223536i	0.608913	+	0.0143695i
$243$	−1.96431	−	7.33091i	−0.126011	−	0.470278i
$244$	−15.1862	+	7.83696i	−0.972199	+	0.501710i
$245$	6.41376	+	14.2781i	0.409760	+	0.912193i
$246$	0.882207	+	3.63324i	0.0562474	+	0.231647i
$247$	3.14279	+	11.7290i	0.199971	+	0.746301i
$248$	11.0712	−	5.38650i	0.703021	−	0.342043i
$249$	−16.7595	+	9.67610i	−1.06209	+	0.613198i
$250$	14.7972	+	5.57153i	0.935859	+	0.352374i
$251$	−2.13569			−0.134804			−0.0674019	−	0.997726i	$-0.521471\pi$
$251$	−2.13569			−0.134804			−0.0674019	+	0.997726i	$0.521471\pi$
$252$	−1.19959	−	3.78053i	−0.0755672	−	0.238151i
$253$	10.1663	+	10.1663i	0.639147	+	0.639147i
$254$	6.00132	+	1.76081i	0.376556	+	0.110483i
$255$	5.58869	−	1.34927i	0.349977	−	0.0844944i
$256$	−10.4579	+	12.1092i	−0.653616	+	0.756826i
$257$	−27.0159	+	7.23890i	−1.68521	+	0.451550i	−0.969146	−	0.246487i	$-0.920724\pi$
$257$	−27.0159	+	7.23890i	−1.68521	+	0.451550i	−0.716062	+	0.698037i	$0.754057\pi$
$258$	19.2180	+	11.7086i	1.19646	+	0.728944i
$259$	−10.4077	+	0.967026i	−0.646705	+	0.0600881i
$260$	−19.7994	−	13.4206i	−1.22790	−	0.832311i
$261$	5.20038	+	3.00244i	0.321896	+	0.185846i
$262$	−2.95533	−	0.0697416i	−0.182581	−	0.00430865i
$263$	−4.16216	+	15.5334i	−0.256650	+	0.957831i	0.710515	+	0.703682i	$0.248462\pi$
$263$	−4.16216	+	15.5334i	−0.256650	+	0.957831i	−0.967165	+	0.254149i	$0.918205\pi$
$264$	1.67050	+	8.63866i	0.102812	+	0.531673i
$265$	−16.7674	+	9.13168i	−1.03002	+	0.560955i
$266$	−8.33746	−	1.62721i	−0.511202	−	0.0997705i
$267$	−7.71367	−	7.71367i	−0.472069	−	0.472069i
$268$	4.50814	+	4.95503i	0.275379	+	0.302677i
$269$	−2.62803	−	4.55187i	−0.160234	−	0.277533i	0.774719	−	0.632306i	$-0.217891\pi$
$269$	−2.62803	−	4.55187i	−0.160234	−	0.277533i	−0.934952	+	0.354773i	$0.884558\pi$
$270$	15.8174	−	8.13647i	0.962619	−	0.495170i
$271$	5.39299	+	3.11364i	0.327601	+	0.189140i	0.654775	−	0.755823i	$-0.272763\pi$
$271$	5.39299	+	3.11364i	0.327601	+	0.189140i	−0.327175	+	0.944964i	$0.606097\pi$
$272$	−6.75986	+	1.14245i	−0.409877	+	0.0692711i
$273$	19.9087	−	7.36774i	1.20493	−	0.445916i
$274$	0.0198325	−	0.00481563i	0.00119812	−	0.000290923i
$275$	−9.22622	+	4.73068i	−0.556362	+	0.285271i
$276$	11.2391	−	17.5042i	0.676515	−	1.05363i
$277$	5.21209	+	1.39658i	0.313164	+	0.0839121i	0.411978	−	0.911194i	$-0.364838\pi$
$277$	5.21209	+	1.39658i	0.313164	+	0.0839121i	−0.0988136	+	0.995106i	$0.531505\pi$
$278$	3.33940	−	1.82434i	0.200284	−	0.109417i
$279$	3.26279			0.195338
$280$	14.5167	−	8.32253i	0.867541	−	0.497366i
$281$	28.1583			1.67978			0.839892	−	0.542753i	$-0.182618\pi$
$281$	28.1583			1.67978			0.839892	+	0.542753i	$0.182618\pi$
$282$	−2.06226	+	1.12663i	−0.122806	+	0.0670898i
$283$	21.8046	+	5.84252i	1.29615	+	0.347302i	0.839992	−	0.542598i	$-0.182559\pi$
$283$	21.8046	+	5.84252i	1.29615	+	0.347302i	0.456156	+	0.889900i	$0.349226\pi$
$284$	−8.99680	−	5.77667i	−0.533862	−	0.342782i
$285$	0.189644	−	7.61328i	0.0112335	−	0.450972i
$286$	15.2421	−	3.70102i	0.901286	−	0.218846i
$287$	−0.784939	+	4.59612i	−0.0463335	+	0.271300i
$288$	−3.89607	+	1.67314i	−0.229578	+	0.0985907i
$289$	12.1784	+	7.03122i	0.716378	+	0.413601i
$290$	−7.73547	+	24.1239i	−0.454243	+	1.41660i
$291$	11.3594	+	19.6751i	0.665901	+	1.15338i
$292$	−0.866118	+	0.788005i	−0.0506857	+	0.0461145i
$293$	20.5621	+	20.5621i	1.20125	+	1.20125i	0.973786	+	0.227467i	$0.0730443\pi$
$293$	20.5621	+	20.5621i	1.20125	+	1.20125i	0.227467	+	0.973786i	$0.426956\pi$
$294$	−1.48403	+	14.7764i	−0.0865505	+	0.861775i
$295$	−20.6450	−	6.08670i	−1.20200	−	0.354382i
$296$	2.12151	+	10.9710i	0.123310	+	0.637677i
$297$	−3.01890	+	11.2667i	−0.175175	+	0.653760i
$298$	16.9681	+	0.400423i	0.982937	+	0.0231959i
$299$	−32.1143	−	18.5412i	−1.85722	−	1.07227i
$300$	9.53048	+	11.5851i	0.550243	+	0.668865i
$301$	16.2206	+	22.9021i	0.934940	+	1.32005i
$302$	−0.206665	−	0.125911i	−0.0118922	−	0.00724535i
$303$	9.96315	−	2.66962i	0.572368	−	0.153365i
$304$	−0.855791	+	9.04087i	−0.0490830	+	0.518530i
$305$	−4.48396	−	18.5727i	−0.256751	−	1.06347i
$306$	−1.74334	−	0.511500i	−0.0996599	−	0.0292405i
$307$	15.5640	+	15.5640i	0.888287	+	0.888287i	0.994358	−	0.106072i	$-0.0338273\pi$
$307$	15.5640	+	15.5640i	0.888287	+	0.888287i	−0.106072	+	0.994358i	$0.533827\pi$
$308$	−2.35538	+	10.7170i	−0.134210	+	0.610660i
$309$	17.3876			0.989148
$310$	2.91392	+	13.4533i	0.165500	+	0.764096i
$311$	−8.37017	+	4.83252i	−0.474629	+	0.274027i	−0.718175	−	0.695862i	$-0.755022\pi$
$311$	−8.37017	+	4.83252i	−0.474629	+	0.274027i	0.243547	+	0.969889i	$0.421689\pi$
$312$	−9.92860	−	20.4068i	−0.562096	−	1.15531i
$313$	−0.369070	−	1.37739i	−0.0208611	−	0.0778546i	0.954711	−	0.297536i	$-0.0961649\pi$
$313$	−0.369070	−	1.37739i	−0.0208611	−	0.0778546i	−0.975572	+	0.219681i	$0.929498\pi$
$314$	1.02671	+	4.22836i	0.0579406	+	0.238620i
$315$	4.42427	−	0.300176i	0.249279	−	0.0169130i
$316$	6.31206	+	12.2313i	0.355081	+	0.688066i
$317$	−7.79260	−	29.0824i	−0.437676	−	1.63343i	−0.734580	−	0.678522i	$-0.762621\pi$
$317$	−7.79260	−	29.0824i	−0.437676	−	1.63343i	0.296904	−	0.954907i	$-0.404046\pi$
$318$	−18.1097	−	0.427364i	−1.01554	−	0.0239654i
$319$	−8.30632	−	14.3870i	−0.465065	−	0.805516i
$320$	−10.3783	−	14.5702i	−0.580163	−	0.814501i
$321$	−13.6724			−0.763117
$322$	21.5178	−	14.4902i	1.19914	−	0.807506i
$323$	−2.75147	+	2.75147i	−0.153096	+	0.153096i
$324$	12.3652	+	0.583927i	0.686956	+	0.0324404i
$325$	19.8278	−	17.9448i	1.09985	−	0.995400i
$326$	0.888352	−	0.847391i	0.0492013	−	0.0469326i
$327$	−4.61662	−	17.2294i	−0.255299	−	0.952790i
$328$	4.97211	+	0.352528i	0.274539	+	0.0194651i
$329$	−2.91803	+	0.271126i	−0.160876	+	0.0149477i
$330$	−9.82567	−	0.476905i	−0.540885	−	0.0262528i
$331$	10.5349	−	18.2469i	0.579048	−	1.00294i	−0.416541	−	0.909117i	$-0.636758\pi$
$331$	10.5349	−	18.2469i	0.579048	−	1.00294i	0.995589	−	0.0938236i	$-0.0299090\pi$
$332$	5.49464	+	25.2085i	0.301558	+	1.38350i
$333$	−0.766434	+	2.86037i	−0.0420003	+	0.156747i
$334$	−20.2222	−	5.93327i	−1.10651	−	0.324654i
$335$	−6.57745	+	3.58214i	−0.359365	+	0.195713i
$336$	15.8760	+	0.0274422i	0.866109	+	0.00149710i
$337$	−23.3527	−	23.3527i	−1.27210	−	1.27210i	−0.944982	−	0.327122i	$-0.893921\pi$
$337$	−23.3527	−	23.3527i	−1.27210	−	1.27210i	−0.327122	−	0.944982i	$-0.606079\pi$
$338$	−19.3688	+	10.5814i	−1.05353	+	0.575550i
$339$	−22.2604	+	12.8521i	−1.20902	+	0.698029i
$340$	0.552108	−	7.64502i	0.0299422	−	0.414609i
$341$	−7.81724	−	4.51329i	−0.423327	−	0.244408i
$342$	−1.25214	+	2.05522i	−0.0677082	+	0.111134i
$343$	−8.99998	+	16.1864i	−0.485953	+	0.873985i
$344$	22.6620	−	19.6612i	1.22185	−	1.06006i
$345$	16.0307	+	16.8497i	0.863062	+	0.907157i
$346$	−16.5068	−	17.3047i	−0.887413	−	0.930309i
$347$	−2.31927	+	8.65562i	−0.124505	+	0.464658i	−0.999822	−	0.0188919i	$-0.993986\pi$
$347$	−2.31927	+	8.65562i	−0.124505	+	0.464658i	0.875317	+	0.483550i	$0.160653\pi$
$348$	−17.7789	+	16.1754i	−0.953048	+	0.867094i
$349$	−24.0045			−1.28493			−0.642465	−	0.766315i	$-0.722088\pi$
$349$	−24.0045			−1.28493			−0.642465	+	0.766315i	$0.722088\pi$
$350$	5.18892	+	17.9743i	0.277359	+	0.960766i
$351$		−	30.0847i		−	1.60580i
$352$	11.6489	+	1.38064i	0.620888	+	0.0735885i
$353$	10.2899	+	2.75717i	0.547675	+	0.146749i	0.522038	−	0.852922i	$-0.325172\pi$
$353$	10.2899	+	2.75717i	0.547675	+	0.146749i	0.0256371	+	0.999671i	$0.491839\pi$
$354$	−14.0952	−	14.7765i	−0.749151	−	0.785364i
$355$	8.66039	−	8.23942i	0.459646	−	0.437303i
$356$	−12.9241	+	6.66959i	−0.684978	+	0.353487i
$357$	5.23456	+	4.34453i	0.277043	+	0.229937i
$358$	9.76890	+	5.95170i	0.516302	+	0.314557i
$359$	−4.51889	+	7.82694i	−0.238498	+	0.413090i	−0.960283	−	0.279026i	$-0.909988\pi$
$359$	−4.51889	+	7.82694i	−0.238498	+	0.413090i	0.721786	+	0.692117i	$0.243322\pi$
$360$	−0.783859	−	4.67536i	−0.0413130	−	0.246413i
$361$	−6.92282	−	11.9907i	−0.364359	−	0.631088i
$362$	10.3791	−	5.67018i	0.545512	−	0.298018i
$363$	−7.10702	+	7.10702i	−0.373022	+	0.373022i
$364$	−1.28614	−	28.2723i	−0.0674121	−	1.48187i
$365$	−0.626142	−	1.14971i	−0.0327738	−	0.0601786i
$366$	5.10355	−	17.3943i	0.266767	−	0.909217i
$367$	−12.8378	−	3.43987i	−0.670126	−	0.179560i	−0.0923143	−	0.995730i	$-0.529426\pi$
$367$	−12.8378	−	3.43987i	−0.670126	−	0.179560i	−0.577811	+	0.816170i	$0.696093\pi$
$368$	−17.6749	−	21.3709i	−0.921370	−	1.11404i
$369$	1.14399	+	0.660480i	0.0595535	+	0.0343832i
$370$	−12.4785	−	0.605665i	−0.648727	−	0.0314870i
$371$	−20.5254	−	9.43700i	−1.06562	−	0.489944i
$372$	−3.97152	+	12.4416i	−0.205914	+	0.645069i
$373$	−1.54778	+	0.414727i	−0.0801411	+	0.0214737i	−0.298667	−	0.954357i	$-0.596542\pi$
$373$	−1.54778	+	0.414727i	−0.0801411	+	0.0214737i	0.218526	+	0.975831i	$0.429875\pi$
$374$	3.46928	+	3.63698i	0.179392	+	0.188064i
$375$	−15.1106	+	7.27847i	−0.780306	+	0.375859i
$376$	0.594812	+	3.07596i	0.0306751	+	0.158630i
$377$	30.2981	+	30.2981i	1.56043	+	1.56043i
$378$	18.9094	+	9.24050i	0.972593	+	0.475280i
$379$			24.3327i			1.24989i	0.780669	+	0.624944i	$0.214878\pi$
$379$			24.3327i			1.24989i	−0.780669	+	0.624944i	$0.785122\pi$
$380$	−9.59247	−	3.32743i	−0.492083	−	0.170694i
$381$	−5.74551	+	3.31717i	−0.294351	+	0.169944i
$382$	−0.0580577	+	2.46022i	−0.00297049	+	0.125876i
$383$	4.14500	−	1.11065i	0.211800	−	0.0567515i	−0.151359	−	0.988479i	$-0.548365\pi$
$383$	4.14500	−	1.11065i	0.211800	−	0.0567515i	0.363159	+	0.931727i	$0.381698\pi$
$384$	−1.63765	−	16.8930i	−0.0835708	−	0.862069i
$385$	−11.0152	−	5.40073i	−0.561388	−	0.275247i
$386$	−8.23781	−	33.9263i	−0.419294	−	1.72680i
$387$	7.67991	−	2.05783i	0.390392	−	0.104605i
$388$	29.5940	−	6.45053i	1.50241	−	0.327476i
$389$	7.07499	+	12.2542i	0.358716	+	0.621315i	0.987747	−	0.156066i	$-0.0498812\pi$
$389$	7.07499	+	12.2542i	0.358716	+	0.621315i	−0.629030	+	0.777381i	$0.716548\pi$
$390$	24.7976	−	5.37105i	1.25568	−	0.271974i
$391$		−	11.8831i		−	0.600955i
$392$	18.1653	+	7.87544i	0.917485	+	0.397770i
$393$	2.21733	−	2.21733i	0.111850	−	0.111850i
$394$	8.23003	+	2.41472i	0.414623	+	0.121652i
$395$	−14.9588	+	3.61148i	−0.752661	+	0.181713i
$396$	2.61587	+	1.67959i	0.131452	+	0.0844028i
$397$	−3.65251	−	13.6314i	−0.183314	−	0.684139i	−0.994985	−	0.100023i	$-0.968108\pi$
$397$	−3.65251	−	13.6314i	−0.183314	−	0.684139i	0.811671	−	0.584115i	$-0.198558\pi$
$398$	14.9627	−	24.5592i	0.750011	−	1.23104i
$399$	7.35341	−	5.20812i	0.368131	−	0.260732i
$400$	18.5776	−	7.40751i	0.928882	−	0.370375i
$401$	12.1951	−	21.1225i	0.608993	−	1.05481i	−0.382414	−	0.923991i	$-0.624907\pi$
$401$	12.1951	−	21.1225i	0.608993	−	1.05481i	0.991407	−	0.130815i	$-0.0417595\pi$
$402$	−7.10401	−	0.167644i	−0.354316	−	0.00836135i
$403$	22.4884	+	6.02575i	1.12023	+	0.300164i
$404$	0.648668	−	13.7361i	0.0322724	−	0.683399i
$405$	−3.91388	+	13.2752i	−0.194482	+	0.659649i
$406$	−28.3496	+	9.73749i	−1.40697	+	0.483263i
$407$	5.79292	−	5.79292i	0.287144	−	0.287144i
$408$	4.07246	−	6.02507i	0.201617	−	0.298285i
$409$	2.36852	−	1.36747i	0.117116	−	0.0676168i	−0.440298	−	0.897852i	$-0.645127\pi$
$409$	2.36852	−	1.36747i	0.117116	−	0.0676168i	0.557414	+	0.830235i	$0.311794\pi$
$410$	−1.70166	+	5.30680i	−0.0840389	+	0.262084i
$411$	−0.0108244	+	0.0187485i	−0.000533930	+	0.000924794i
$412$	7.04929	−	22.0834i	0.347293	−	1.08797i
$413$	−8.83891	−	23.8840i	−0.434934	−	1.17525i
$414$	−1.73418	−	7.14196i	−0.0852301	−	0.351008i
$415$	−28.8368	−	0.718312i	−1.41554	−	0.0352605i
$416$	−29.9432	+	4.33663i	−1.46809	+	0.212621i
$417$	−1.04471	+	3.89892i	−0.0511598	+	0.190931i
$418$	5.84290	−	3.19202i	0.285785	−	0.156127i
$419$		−	9.10424i		−	0.444771i	−0.974959	−	0.222386i	$-0.928616\pi$
$419$		−	9.10424i		−	0.444771i	0.974959	−	0.222386i	$-0.0713844\pi$
$420$	−4.24066	+	17.2360i	−0.206923	+	0.841029i
$421$		−	7.13111i		−	0.347549i	−0.984785	−	0.173775i	$-0.944404\pi$
$421$		−	7.13111i		−	0.347549i	0.984785	−	0.173775i	$-0.0555964\pi$
$422$	−10.1221	−	18.5282i	−0.492736	−	0.901937i
$423$	−0.214886	+	0.801966i	−0.0104481	+	0.0389929i
$424$	−7.88482	+	22.8273i	−0.382921	+	1.10859i
$425$	8.15695	+	2.62737i	0.395670	+	0.127446i
$426$	11.0211	−	2.67610i	0.533975	−	0.129657i
$427$	14.4380	−	17.3958i	0.698703	−	0.841842i
$428$	−5.54304	+	17.3648i	−0.267933	+	0.839358i
$429$	−8.31906	+	14.4090i	−0.401648	+	0.695675i
$430$	15.3437	+	29.8284i	0.739939	+	1.43845i
$431$	18.0479	−	10.4200i	0.869339	−	0.501913i	0.00221040	−	0.999998i	$-0.499296\pi$
$431$	18.0479	−	10.4200i	0.869339	−	0.501913i	0.867128	+	0.498085i	$0.165963\pi$
$432$	7.84544	−	21.0874i	0.377464	−	1.01457i
$433$	−7.47538	+	7.47538i	−0.359244	+	0.359244i	−0.863534	−	0.504290i	$-0.831754\pi$
$433$	−7.47538	+	7.47538i	−0.359244	+	0.359244i	0.504290	+	0.863534i	$0.331754\pi$
$434$	−10.6947	+	12.2840i	−0.513364	+	0.589653i
$435$	−12.8529	−	23.6002i	−0.616248	−	1.13154i
$436$	−23.7542	−	1.12175i	−1.13762	−	0.0537222i
$437$	−15.2044	−	4.07400i	−0.727324	−	0.194886i
$438$	0.0293035	−	1.24175i	0.00140018	−	0.0593332i
$439$	7.40260	−	12.8217i	0.353307	−	0.611945i	−0.633520	−	0.773726i	$-0.718391\pi$
$439$	7.40260	−	12.8217i	0.353307	−	0.611945i	0.986827	+	0.161781i	$0.0517239\pi$
$440$	−4.58922	+	12.2859i	−0.218782	+	0.585706i
$441$	3.41571	+	3.98283i	0.162653	+	0.189658i
$442$	−11.0711	−	6.74507i	−0.526599	−	0.320830i
$443$	4.02280	+	15.0133i	0.191129	+	0.713303i	0.993235	+	0.116121i	$0.0370462\pi$
$443$	4.02280	+	15.0133i	0.191129	+	0.713303i	−0.802106	+	0.597182i	$0.796287\pi$
$444$	−9.97423	−	6.40425i	−0.473356	−	0.303932i
$445$	−3.81604	−	15.8061i	−0.180898	−	0.749282i
$446$	8.65118	−	29.4856i	0.409645	−	1.39619i
$447$	−12.7309	+	12.7309i	−0.602150	+	0.602150i
$448$	6.47131	−	20.1525i	0.305741	−	0.952115i
$449$		−	20.0367i		−	0.945588i	−0.881173	−	0.472794i	$-0.843245\pi$
$449$		−	20.0367i		−	0.945588i	0.881173	−	0.472794i	$-0.156755\pi$
$450$	5.28590	+	0.388699i	0.249180	+	0.0183235i
$451$	−1.82723	−	3.16486i	−0.0860411	−	0.149027i
$452$	7.29814	+	33.4827i	0.343276	+	1.57489i
$453$	0.247958	−	0.0664402i	0.0116501	−	0.00312163i
$454$	3.13224	−	0.760556i	0.147003	−	0.0356947i
$455$	31.0482	+	6.10186i	1.45556	+	0.286060i
$456$	−6.31284	−	7.27632i	−0.295626	−	0.340745i
$457$	−9.79003	+	2.62323i	−0.457958	+	0.122710i	−0.480421	−	0.877038i	$-0.659516\pi$
$457$	−9.79003	+	2.62323i	−0.457958	+	0.122710i	0.0224625	+	0.999748i	$0.492849\pi$
$458$	−7.30979	−	0.172501i	−0.341564	−	0.00806042i
$459$	8.34906	−	4.82033i	0.389701	−	0.224994i
$460$	27.8993	−	13.5288i	1.30081	−	0.630782i
$461$		−	30.2196i		−	1.40747i	−0.710463	−	0.703735i	$-0.751514\pi$
$461$		−	30.2196i		−	1.40747i	0.710463	−	0.703735i	$-0.248486\pi$
$462$	−6.50144	−	9.65458i	−0.302474	−	0.449172i
$463$	24.0778	+	24.0778i	1.11899	+	1.11899i	0.991890	+	0.127101i	$0.0405671\pi$
$463$	24.0778	+	24.0778i	1.11899	+	1.11899i	0.127101	+	0.991890i	$0.459433\pi$
$464$	13.3359	+	29.1382i	0.619106	+	1.35270i
$465$	−12.4597	−	7.61347i	−0.577805	−	0.353066i
$466$	−2.22368	+	2.12115i	−0.103010	+	0.0982605i
$467$	30.8107	−	8.25570i	1.42575	−	0.382028i	0.538229	−	0.842799i	$-0.319094\pi$
$467$	30.8107	−	8.25570i	1.42575	−	0.382028i	0.887519	+	0.460770i	$0.152427\pi$
$468$	−7.63828	−	2.43823i	−0.353080	−	0.112707i
$469$	−8.05160	−	3.70190i	−0.371789	−	0.170938i
$470$	−3.49862	−	0.169811i	−0.161379	−	0.00783281i
$471$	−3.99724	−	2.30781i	−0.184183	−	0.106338i
$472$	−24.4816	+	11.9111i	−1.12686	+	0.548254i
$473$	−21.2467	−	5.69302i	−0.976922	−	0.261765i
$474$	−14.0098	−	4.11051i	−0.643491	−	0.188802i
$475$	6.15822	−	9.53600i	0.282559	−	0.437542i
$476$	7.64003	−	4.88688i	0.350180	−	0.223990i
$477$	−4.52558	+	4.52558i	−0.207212	+	0.207212i
$478$	−8.12561	−	14.8737i	−0.371657	−	0.680305i
$479$	16.9392	+	29.3395i	0.773971	+	1.34056i	0.935371	+	0.353669i	$0.115066\pi$
$479$	16.9392	+	29.3395i	0.773971	+	1.34056i	−0.161399	+	0.986889i	$0.551601\pi$
$480$	18.7822	+	2.70192i	0.857285	+	0.123325i
$481$	−10.5651	+	18.2993i	−0.481728	+	0.834378i
$482$	−10.3748	+	17.0288i	−0.472558	+	0.775639i
$483$	−4.63257	+	27.1255i	−0.210789	+	1.23425i
$484$	6.14505	+	11.9077i	0.279320	+	0.541259i
$485$	−0.843275	+	33.8534i	−0.0382911	+	1.53721i
$486$	7.76646	−	7.40835i	0.352294	−	0.336050i
$487$	26.7194	+	7.15944i	1.21077	+	0.324425i	0.807065	−	0.590463i	$-0.201055\pi$
$487$	26.7194	+	7.15944i	1.21077	+	0.324425i	0.403707	+	0.914888i	$0.367721\pi$
$488$	−20.0228	−	13.5338i	−0.906392	−	0.612648i
$489$			1.30230i			0.0588919i
$490$	−13.3717	+	17.6408i	−0.604072	+	0.796930i
$491$	0.136113			0.00614271			0.00307136	−	0.999995i	$-0.499022\pi$
$491$	0.136113			0.00614271			0.00307136	+	0.999995i	$0.499022\pi$
$492$	−3.91102	+	3.55829i	−0.176322	+	0.160420i
$493$	−3.55377	+	13.2628i	−0.160054	+	0.597328i
$494$	−12.4259	+	11.8529i	−0.559067	+	0.533289i
$495$	−2.51805	+	2.39565i	−0.113178	+	0.107677i
$496$	14.1916	+	10.0882i	0.637219	+	0.452972i
$497$	13.9419	+	2.38105i	0.625381	+	0.106804i
$498$	−23.3721	−	14.2394i	−1.04733	−	0.638084i
$499$	0.423881	+	0.244728i	0.0189755	+	0.0109555i	0.509458	−	0.860496i	$-0.329846\pi$
$499$	0.423881	+	0.244728i	0.0189755	+	0.0109555i	−0.490482	+	0.871451i	$0.663179\pi$
$500$	3.11801	+	22.1422i	0.139442	+	0.990230i
$501$	19.3603	−	11.1776i	0.864952	−	0.499380i
$502$	−1.44803	−	2.65058i	−0.0646290	−	0.118301i
$503$	12.8130	+	12.8130i	0.571302	+	0.571302i	0.932492	−	0.361190i	$-0.117629\pi$
$503$	12.8130	+	12.8130i	0.571302	+	0.571302i	−0.361190	+	0.932492i	$0.617629\pi$
$504$	3.87862	−	4.05206i	0.172767	−	0.180493i
$505$	14.7470	+	4.34781i	0.656234	+	0.193475i
$506$	−5.72432	+	19.5101i	−0.254477	+	0.867329i
$507$	6.05943	−	22.6141i	0.269109	−	1.00433i
$508$	1.88368	+	8.64201i	0.0835747	+	0.383427i
$509$	−3.81518	+	6.60809i	−0.169105	+	0.292899i	−0.938105	−	0.346350i	$-0.887421\pi$
$509$	−3.81518	+	6.60809i	−0.169105	+	0.292899i	0.769000	+	0.639248i	$0.220754\pi$
$510$	5.46378	+	6.02122i	0.241940	+	0.266624i
$511$	0.647077	−	1.40739i	0.0286250	−	0.0622591i
$512$	−22.1192	−	4.76885i	−0.977539	−	0.210755i
$513$	−3.30520	−	12.3352i	−0.145928	−	0.544611i
$514$	−27.3013	−	28.6210i	−1.20421	−	1.26242i
$515$	22.1155	+	13.5136i	0.974524	+	0.595481i
$516$	−1.50122	+	31.7898i	−0.0660877	+	1.39947i
$517$	1.62417	−	1.62417i	0.0714309	−	0.0714309i
$518$	−8.25677	−	12.2612i	−0.362781	−	0.538727i
$519$	25.3682			1.11354
$520$	3.23185	−	33.6721i	0.141726	−	1.47662i
$521$	4.44274	+	7.69505i	0.194640	+	0.337126i	0.946782	−	0.321874i	$-0.104313\pi$
$521$	4.44274	+	7.69505i	0.194640	+	0.337126i	−0.752143	+	0.659000i	$0.770980\pi$
$522$	−0.200348	+	8.48982i	−0.00876898	+	0.371590i
$523$	−9.64389	−	35.9915i	−0.421698	−	1.57380i	−0.771030	−	0.636798i	$-0.780258\pi$
$523$	−9.64389	−	35.9915i	−0.421698	−	1.57380i	0.349333	−	0.936999i	$-0.386408\pi$
$524$	−1.91721	−	3.71510i	−0.0837535	−	0.162295i
$525$	−17.5955	−	9.17741i	−0.767932	−	0.400535i
$526$	−22.1003	+	5.36629i	−0.963619	+	0.233981i
$527$	1.93096	+	7.20644i	0.0841139	+	0.313917i
$528$	−9.58869	+	7.93037i	−0.417294	+	0.345125i
$529$	21.7113	−	12.5350i	0.943969	−	0.545001i
$530$	−22.7018	−	14.6184i	−0.986103	−	0.634983i
$531$	−7.21497			−0.313103
$532$	−3.63343	−	11.4508i	−0.157529	−	0.496454i
$533$	6.66502	+	6.66502i	0.288694	+	0.288694i
$534$	4.34334	−	14.8033i	0.187955	−	0.640602i
$535$	−17.3900	−	10.6261i	−0.751835	−	0.459407i
$536$	−3.09302	+	8.95458i	−0.133598	+	0.386779i
$537$	−11.7208	+	3.14057i	−0.505789	+	0.135526i
$538$	3.86742	−	6.34785i	0.166737	−	0.273675i
$539$	−2.67434	−	14.2672i	−0.115192	−	0.614531i
$540$	20.8225	+	14.1142i	0.896060	+	0.607376i
$541$	7.84446	+	4.52900i	0.337260	+	0.194717i	0.659060	−	0.752091i	$-0.270954\pi$
$541$	7.84446	+	4.52900i	0.337260	+	0.194717i	−0.321800	+	0.946808i	$0.604288\pi$
$542$	−0.207768	+	8.80426i	−0.00892440	+	0.378176i
$543$	−3.24704	+	12.1181i	−0.139344	+	0.520038i
$544$	−6.00117	−	7.61497i	−0.257298	−	0.326489i
$545$	7.51875	−	25.5023i	0.322068	−	1.09240i
$546$	22.6424	+	19.7129i	0.969005	+	0.843635i
$547$	−16.2455	−	16.2455i	−0.694608	−	0.694608i	0.268634	−	0.963242i	$-0.413428\pi$
$547$	−16.2455	−	16.2455i	−0.694608	−	0.694608i	−0.963242	+	0.268634i	$0.913428\pi$
$548$	0.0194233	+	0.0213487i	0.000829724	+	0.000911972i
$549$	−3.20233	−	5.54659i	−0.136672	−	0.236723i
$550$	−12.1267	−	8.24305i	−0.517084	−	0.351485i
$551$	15.7513	+	9.09405i	0.671030	+	0.387419i
$552$	29.3445	+	2.08056i	1.24899	+	0.0885544i
$553$	−14.0110	−	11.6287i	−0.595807	−	0.494502i
$554$	1.80061	+	7.41556i	0.0765006	+	0.315057i
$555$	9.60126	−	9.13456i	0.407551	−	0.387741i
$556$	4.52834	+	2.90755i	0.192044	+	0.123308i
$557$	−21.9056	−	5.86959i	−0.928170	−	0.248702i	−0.237096	−	0.971486i	$-0.576196\pi$
$557$	−21.9056	−	5.86959i	−0.928170	−	0.248702i	−0.691074	+	0.722784i	$0.742862\pi$
$558$	2.21222	+	4.04940i	0.0936508	+	0.171425i
$559$	56.7334			2.39957
$560$	20.1715	+	12.3737i	0.852403	+	0.522885i
$561$	−5.33170			−0.225105
$562$	19.0918	+	34.9469i	0.805338	+	1.47415i
$563$	−4.88628	−	1.30927i	−0.205932	−	0.0551793i	0.154378	−	0.988012i	$-0.450663\pi$
$563$	−4.88628	−	1.30927i	−0.205932	−	0.0551793i	−0.360310	+	0.932832i	$0.617329\pi$
$564$	−2.79649	−	1.79557i	−0.117753	−	0.0756071i
$565$	−38.3018	−	0.954082i	−1.61137	−	0.0401385i
$566$	7.53278	+	31.0227i	0.316626	+	1.30398i
$567$	−15.3579	+	5.68361i	−0.644971	+	0.238689i
$568$	1.06936	−	15.0825i	0.0448695	−	0.632847i
$569$	23.8336	+	13.7604i	0.999158	+	0.576864i	0.907999	−	0.418972i	$-0.137610\pi$
$569$	23.8336	+	13.7604i	0.999158	+	0.576864i	0.0911588	+	0.995836i	$0.470943\pi$
$570$	9.57731	−	4.92656i	0.401150	−	0.206351i
$571$	18.0810	+	31.3172i	0.756667	+	1.31059i	0.944541	+	0.328393i	$0.106507\pi$
$571$	18.0810	+	31.3172i	0.756667	+	1.31059i	−0.187874	+	0.982193i	$0.560160\pi$
$572$	14.9277	+	16.4074i	0.624158	+	0.686030i
$573$	−1.84586	−	1.84586i	−0.0771120	−	0.0771120i
$574$	−6.23638	+	2.14206i	−0.260301	+	0.0894080i
$575$	7.29400	+	33.8902i	0.304181	+	1.41332i
$576$	−4.71811	−	3.70094i	−0.196588	−	0.154206i
$577$	10.2146	−	38.1212i	0.425237	−	1.58701i	−0.338167	−	0.941086i	$-0.609807\pi$
$577$	10.2146	−	38.1212i	0.425237	−	1.58701i	0.763404	−	0.645921i	$-0.223526\pi$
$578$	−0.469181	+	19.8818i	−0.0195154	+	0.826972i
$579$	32.0719	+	18.5167i	1.33286	+	0.769529i
$580$	−35.1846	+	6.75599i	−1.46096	+	0.280527i
$581$	−19.7267	−	27.8525i	−0.818403	−	1.15552i
$582$	−16.7166	+	27.4381i	−0.692927	+	1.13734i
$583$	17.1028	−	4.58268i	0.708325	−	0.189795i
$584$	−1.56522	−	0.540647i	−0.0647694	−	0.0223721i
$585$	4.67413	−	7.64937i	0.193252	−	0.316263i
$586$	−11.5779	+	39.4608i	−0.478280	+	1.63011i
$587$	−1.67036	−	1.67036i	−0.0689431	−	0.0689431i	0.671794	−	0.740738i	$-0.265524\pi$
$587$	−1.67036	−	1.67036i	−0.0689431	−	0.0689431i	−0.740738	+	0.671794i	$0.765524\pi$
$588$	−19.3449	+	8.17680i	−0.797772	+	0.337206i
$589$	9.88260			0.407206
$590$	−6.44353	−	29.7491i	−0.265276	−	1.22475i
$591$	−7.87922	+	4.54907i	−0.324108	+	0.187124i
$592$	−12.1776	+	10.0715i	−0.500494	+	0.413936i
$593$	3.95638	+	14.7654i	0.162469	+	0.606343i	0.998349	+	0.0574312i	$0.0182910\pi$
$593$	3.95638	+	14.7654i	0.162469	+	0.606343i	−0.835880	+	0.548912i	$0.815042\pi$
$594$	−16.0298	+	3.89228i	−0.657711	+	0.159702i
$595$	3.28133	+	9.59413i	0.134521	+	0.393321i
$596$	11.0077	+	21.3304i	0.450893	+	0.873727i
$597$	7.89546	+	29.4663i	0.323140	+	1.20597i
$598$	1.23722	−	52.4279i	0.0505938	−	2.14394i
$599$	−4.61537	−	7.99405i	−0.188579	−	0.326628i	0.756198	−	0.654343i	$-0.227055\pi$
$599$	−4.61537	−	7.99405i	−0.188579	−	0.326628i	−0.944777	+	0.327715i	$0.893721\pi$
$600$	−7.91627	+	19.6830i	−0.323180	+	0.803556i
$601$	36.4347			1.48620			0.743101	−	0.669179i	$-0.233354\pi$
$601$	36.4347			1.48620			0.743101	+	0.669179i	$0.233354\pi$
$602$	−17.4257	+	35.6591i	−0.710216	+	1.45336i
$603$	−1.77527	+	1.77527i	−0.0722947	+	0.0722947i
$604$	0.0161437	−	0.341859i	0.000656880	−	0.0139100i
$605$	−14.5630	+	3.51593i	−0.592071	+	0.142943i
$606$	10.0684	+	10.5551i	0.409001	+	0.428771i
$607$	−4.78010	−	17.8396i	−0.194018	−	0.724087i	−0.992519	−	0.122092i	$-0.961040\pi$
$607$	−4.78010	−	17.8396i	−0.194018	−	0.724087i	0.798500	−	0.601994i	$-0.205627\pi$
$608$	−11.8007	+	5.06774i	−0.478583	+	0.205524i
$609$	13.2826	−	28.8895i	0.538238	−	1.17066i
$610$	20.0101	−	18.1575i	0.810184	−	0.735177i
$611$	−2.96216	+	5.13061i	−0.119836	+	0.207562i
$612$	−0.547194	−	2.51043i	−0.0221190	−	0.101478i
$613$	12.3859	−	46.2248i	0.500261	−	1.86700i	0.00195771	−	0.999998i	$-0.499377\pi$
$613$	12.3859	−	46.2248i	0.500261	−	1.86700i	0.498304	−	0.867003i	$-0.333956\pi$
$614$	−8.76365	+	29.8690i	−0.353672	+	1.20541i
$615$	−2.82739	−	5.19160i	−0.114011	−	0.209346i
$616$	−14.8977	+	4.34309i	−0.600247	+	0.174988i
$617$	−28.1867	−	28.1867i	−1.13476	−	1.13476i	−0.989376	−	0.145379i	$-0.953560\pi$
$617$	−28.1867	−	28.1867i	−1.13476	−	1.13476i	−0.145379	−	0.989376i	$-0.546440\pi$
$618$	11.7891	+	21.5796i	0.474227	+	0.868057i
$619$	−5.94805	+	3.43411i	−0.239072	+	0.138028i	−0.614750	−	0.788722i	$-0.710743\pi$
$619$	−5.94805	+	3.43411i	−0.239072	+	0.138028i	0.375678	+	0.926750i	$0.377410\pi$
$620$	−14.7210	+	12.7380i	−0.591210	+	0.511569i
$621$	33.7739	+	19.4994i	1.35530	+	0.782484i
$622$	−11.6727	−	7.11157i	−0.468032	−	0.285148i
$623$	12.2873	−	14.8046i	0.492282	−	0.593133i
$624$	18.5949	−	26.1584i	0.744391	−	1.04717i
$625$	−24.8761	−	2.48633i	−0.995042	−	0.0994530i
$626$	1.45922	−	1.39194i	0.0583222	−	0.0556330i
$627$	−1.82792	+	6.82188i	−0.0730000	+	0.272440i
$628$	−4.55163	+	4.14113i	−0.181630	+	0.165249i
$629$	−6.77121			−0.269986
$630$	3.37227	+	5.28738i	0.134354	+	0.210654i
$631$		−	7.46410i		−	0.297141i	−0.988902	−	0.148571i	$-0.952533\pi$
$631$		−	7.46410i		−	0.297141i	0.988902	−	0.148571i	$-0.0474672\pi$
$632$	−10.9005	+	16.1268i	−0.433597	+	0.641492i
$633$	21.6326	+	5.79643i	0.859817	+	0.230387i
$634$	30.8102	−	29.3896i	1.22363	−	1.16721i
$635$	−9.88585	−	0.246252i	−0.392308	−	0.00977223i
$636$	−11.7483	−	22.7655i	−0.465850	−	0.902711i
$637$	16.1869	+	33.7594i	0.641348	+	1.33760i
$638$	12.2237	−	20.0635i	0.483939	−	0.794320i
$639$	2.00351	−	3.47018i	0.0792576	−	0.137278i
$640$	11.0463	−	22.7592i	0.436642	−	0.899635i
$641$	−6.23519	−	10.7997i	−0.246275	−	0.426561i	0.716214	−	0.697881i	$-0.245873\pi$
$641$	−6.23519	−	10.7997i	−0.246275	−	0.426561i	−0.962489	+	0.271319i	$0.912540\pi$
$642$	−9.27008	−	16.9686i	−0.365861	−	0.669697i
$643$	−20.0209	+	20.0209i	−0.789548	+	0.789548i	−0.981420	−	0.191872i	$-0.938544\pi$
$643$	−20.0209	+	20.0209i	−0.789548	+	0.789548i	0.191872	+	0.981420i	$0.438544\pi$
$644$	32.5730	+	16.8809i	1.28355	+	0.665199i
$645$	−34.1293	−	10.0622i	−1.34384	−	0.396200i
$646$	−5.28036	−	1.54927i	−0.207753	−	0.0609553i
$647$	41.2153	+	11.0436i	1.62034	+	0.434169i	0.951102	−	0.308877i	$-0.0999531\pi$
$647$	41.2153	+	11.0436i	1.62034	+	0.434169i	0.669240	+	0.743046i	$0.266620\pi$
$648$	7.65910	+	15.7422i	0.300878	+	0.618412i
$649$	17.2862	+	9.98019i	0.678543	+	0.391757i
$650$	35.7146	+	12.4411i	1.40084	+	0.487981i
$651$	−1.59839	−	17.2028i	−0.0626458	−	0.674233i
$652$	1.65400	+	0.527977i	0.0647757	+	0.0206772i
$653$	−25.8258	+	6.92000i	−1.01064	+	0.270801i	−0.725897	−	0.687803i	$-0.758575\pi$
$653$	−25.8258	+	6.92000i	−1.01064	+	0.270801i	−0.284744	+	0.958604i	$0.591909\pi$
$654$	18.2531	−	17.4115i	0.713752	−	0.680842i
$655$	4.54355	−	1.09694i	0.177531	−	0.0428610i
$656$	2.93365	+	6.40984i	0.114540	+	0.250262i
$657$	−0.310310	−	0.310310i	−0.0121064	−	0.0121064i
$658$	−2.31496	−	3.43770i	−0.0902466	−	0.134015i
$659$			25.4132i			0.989959i	0.868905	+	0.494980i	$0.164824\pi$
$659$			25.4132i			0.989959i	−0.868905	+	0.494980i	$0.835176\pi$
$660$	−6.07008	−	12.5178i	−0.236277	−	0.487257i
$661$	−21.0064	+	12.1280i	−0.817053	+	0.471726i	−0.849399	−	0.527751i	$-0.823035\pi$
$661$	−21.0064	+	12.1280i	−0.817053	+	0.471726i	0.0323461	+	0.999477i	$0.489702\pi$
$662$	29.7888	+	0.702973i	1.15777	+	0.0273218i
$663$	13.2832	−	3.55922i	0.515876	−	0.138229i
$664$	−27.5605	+	23.9111i	−1.06955	+	0.927930i
$665$	13.4006	−	0.909198i	0.519653	−	0.0352572i
$666$	−4.06962	+	0.988166i	−0.157695	+	0.0382906i
$667$	−53.6514	+	14.3758i	−2.07739	+	0.556635i
$668$	−6.34731	−	29.1204i	−0.245585	−	1.12670i
$669$	16.2979	+	28.2288i	0.630113	+	1.09139i
$670$	−8.90536	−	5.73444i	−0.344044	−	0.221541i
$671$			17.7186i			0.684020i
$672$	10.7302	+	19.7221i	0.413925	+	0.760798i
$673$	−7.27359	+	7.27359i	−0.280376	+	0.280376i	−0.833259	−	0.552883i	$-0.813528\pi$
$673$	−7.27359	+	7.27359i	−0.280376	+	0.280376i	0.552883	+	0.833259i	$0.313528\pi$
$674$	13.1492	−	44.8163i	0.506489	−	1.72626i
$675$	−20.8525	+	18.8722i	−0.802612	+	0.726391i
$676$	−26.2647	−	16.8641i	−1.01018	−	0.648617i
$677$	0.243488	+	0.908708i	0.00935799	+	0.0349245i	0.970447	−	0.241315i	$-0.0775785\pi$
$677$	0.243488	+	0.908708i	0.00935799	+	0.0349245i	−0.961089	+	0.276239i	$0.910912\pi$
$678$	−31.0435	−	18.9132i	−1.19222	−	0.726358i
$679$	−32.6979	+	23.1586i	−1.25483	+	0.888744i
$680$	9.86246	−	4.49823i	0.378208	−	0.172499i
$681$	−1.70956	+	2.96104i	−0.0655104	+	0.113467i
$682$	0.301164	−	12.7620i	0.0115322	−	0.488680i
$683$	−36.9150	−	9.89135i	−1.41251	−	0.378482i	−0.529692	−	0.848190i	$-0.677692\pi$
$683$	−36.9150	−	9.89135i	−1.41251	−	0.378482i	−0.882822	+	0.469708i	$0.844359\pi$
$684$	−3.39968	−	0.160545i	−0.129990	−	0.00613858i
$685$	−0.0283389	+	0.0154336i	−0.00108278	+	0.000589689i
$686$	−26.1909	−	0.195097i	−0.999972	−	0.00744884i
$687$	5.48441	−	5.48441i	0.209243	−	0.209243i
$688$	39.7665	+	14.7949i	1.51608	+	0.564049i
$689$	−39.5500	+	22.8342i	−1.50673	+	0.869913i
$690$	−10.0429	+	31.3198i	−0.382326	+	1.19232i
$691$	5.11739	−	8.86358i	0.194675	−	0.337187i	−0.752119	−	0.659027i	$-0.770968\pi$
$691$	5.11739	−	8.86358i	0.194675	−	0.337187i	0.946794	+	0.321841i	$0.104302\pi$
$692$	10.2848	−	32.2193i	0.390969	−	1.22479i
$693$	−4.05368	−	0.692301i	−0.153987	−	0.0262983i
$694$	−12.3149	+	2.99024i	−0.467466	+	0.113508i
$695$	−4.35901	+	4.14713i	−0.165347	+	0.157309i
$696$	−32.1295	−	11.0979i	−1.21786	−	0.420665i
$697$	−0.781762	+	2.91757i	−0.0296113	+	0.110511i
$698$	−16.2754	−	29.7916i	−0.616034	−	1.12763i
$699$		−	3.25986i		−	0.123299i
$700$	−18.7895	+	18.6267i	−0.710175	+	0.704025i
$701$		−	6.72080i		−	0.253841i	−0.991913	−	0.126920i	$-0.959491\pi$
$701$		−	6.72080i		−	0.253841i	0.991913	−	0.126920i	$-0.0405093\pi$
$702$	37.3377	−	20.3979i	1.40922	−	0.769868i
$703$	−2.32144	+	8.66373i	−0.0875547	+	0.326759i
$704$	6.18464	+	15.3934i	0.233092	+	0.580160i
$705$	2.69192	−	2.56107i	0.101384	−	0.0964555i
$706$	3.55482	+	14.6400i	0.133788	+	0.550985i
$707$	6.31376	+	17.0607i	0.237453	+	0.641632i
$708$	8.78218	−	27.5121i	0.330055	−	1.03397i
$709$	14.8443	−	25.7111i	0.557489	−	0.965599i	−0.440216	−	0.897892i	$-0.645098\pi$
$709$	14.8443	−	25.7111i	0.557489	−	0.965599i	0.997705	−	0.0677074i	$-0.0215684\pi$
$710$	16.0977	+	5.16183i	0.604136	+	0.193720i
$711$	−4.46735	+	2.57923i	−0.167539	+	0.0967285i
$712$	−17.0403	−	11.5179i	−0.638612	−	0.431651i
$713$	−21.3406	+	21.3406i	−0.799211	+	0.799211i
$714$	−1.84282	+	9.44220i	−0.0689658	+	0.353366i
$715$	−21.7797	+	11.8614i	−0.814516	+	0.443592i
$716$	−0.763102	+	16.1594i	−0.0285184	+	0.603905i
$717$	17.3658	+	4.65314i	0.648536	+	0.173775i
$718$	−12.7778	−	0.301537i	−0.476863	−	0.0112533i
$719$	−23.5433	+	40.7782i	−0.878017	+	1.52077i	−0.0245039	+	0.999700i	$0.507801\pi$
$719$	−23.5433	+	40.7782i	−0.878017	+	1.52077i	−0.853513	+	0.521071i	$0.825533\pi$
$720$	5.27106	−	4.14281i	0.196441	−	0.154393i
$721$	2.83708	+	30.5344i	0.105658	+	1.13716i
$722$	10.1877	−	16.7217i	0.379146	−	0.622317i
$723$	−5.47452	−	20.4312i	−0.203600	−	0.759844i
$724$	14.0744	+	9.03686i	0.523069	+	0.335852i
$725$	1.99433	−	40.0065i	0.0740675	−	1.48580i
$726$	−13.6391	−	4.00175i	−0.506194	−	0.148519i
$727$	18.1993	−	18.1993i	0.674976	−	0.674976i	−0.283883	−	0.958859i	$-0.591623\pi$
$727$	18.1993	−	18.1993i	0.674976	−	0.674976i	0.958859	+	0.283883i	$0.0916227\pi$
$728$	34.2163	−	20.7653i	1.26814	−	0.769613i
$729$			29.9539i			1.10940i
$730$	1.00236	−	1.55662i	0.0370989	−	0.0576130i
$731$	9.09014	+	15.7446i	0.336211	+	0.582335i
$732$	25.0482	−	5.45969i	0.925807	−	0.201796i
$733$	19.6898	−	5.27586i	0.727259	−	0.194868i	0.123851	−	0.992301i	$-0.460476\pi$
$733$	19.6898	−	5.27586i	0.727259	−	0.194868i	0.603408	+	0.797432i	$0.293809\pi$
$734$	−4.43503	−	18.2651i	−0.163700	−	0.674175i
$735$	−3.75004	−	23.1796i	−0.138322	−	0.854994i
$736$	14.5393	−	36.4260i	0.535925	−	1.34268i
$737$	6.70901	−	1.79767i	0.247129	−	0.0662181i
$738$	−0.0440727	+	1.86760i	−0.00162234	+	0.0687473i
$739$	6.17231	−	3.56359i	0.227052	−	0.131089i	−0.382159	−	0.924096i	$-0.624819\pi$
$739$	6.17231	−	3.56359i	0.227052	−	0.131089i	0.609211	+	0.793008i	$0.291486\pi$
$740$	−7.70894	−	15.8975i	−0.283386	−	0.584406i
$741$		−	18.2160i		−	0.669181i
$742$	−2.20441	−	31.8722i	−0.0809264	−	1.17007i
$743$	1.82621	+	1.82621i	0.0669973	+	0.0669973i	0.739812	−	0.672814i	$-0.234915\pi$
$743$	1.82621	+	1.82621i	0.0669973	+	0.0669973i	−0.672814	+	0.739812i	$0.734915\pi$
$744$	−18.1339	+	3.50663i	−0.664821	+	0.128559i
$745$	−26.0869	+	6.29812i	−0.955751	+	0.230745i
$746$	−1.56413	−	1.63974i	−0.0572669	−	0.0600351i
$747$	−9.33996	+	2.50263i	−0.341731	+	0.0915666i
$748$	−2.16158	+	6.77161i	−0.0790351	+	0.247594i
$749$	−2.23087	−	24.0100i	−0.0815142	−	0.877306i
$750$	−19.2784	−	13.8186i	−0.703948	−	0.504584i
$751$	14.7753	+	8.53052i	0.539158	+	0.311283i	0.744738	−	0.667357i	$-0.232575\pi$
$751$	14.7753	+	8.53052i	0.539158	+	0.311283i	−0.205580	+	0.978640i	$0.565908\pi$
$752$	−3.41424	+	2.82376i	−0.124504	+	0.102972i
$753$	3.09469	+	0.829219i	0.112777	+	0.0302184i
$754$	−17.0600	+	58.1452i	−0.621288	+	2.11752i
$755$	0.367017	+	0.108206i	0.0133571	+	0.00393803i
$756$	1.35261	+	29.7334i	0.0491938	+	1.08139i
$757$	−19.9476	+	19.9476i	−0.725007	+	0.725007i	−0.969621	−	0.244614i	$-0.921339\pi$
$757$	−19.9476	+	19.9476i	−0.725007	+	0.725007i	0.244614	+	0.969621i	$0.421339\pi$
$758$	−30.1990	+	16.4980i	−1.09688	+	0.599233i
$759$	−10.7840	−	18.6784i	−0.391435	−	0.677985i
$760$	−2.37422	−	14.1611i	−0.0861219	−	0.513678i
$761$	−14.2802	+	24.7340i	−0.517656	+	0.896607i	0.482134	+	0.876098i	$0.339862\pi$
$761$	−14.2802	+	24.7340i	−0.517656	+	0.896607i	−0.999790	+	0.0205088i	$0.993471\pi$
$762$	−8.01244	−	4.88157i	−0.290260	−	0.176841i
$763$	29.5033	−	10.9185i	1.06809	−	0.395276i
$764$	−3.09271	+	1.59602i	−0.111890	+	0.0577418i
$765$	2.87176	+	0.0715344i	0.103829	+	0.00258633i
$766$	4.18879	+	4.39126i	0.151347	+	0.158663i
$767$	−49.7284	−	13.3247i	−1.79559	−	0.481127i
$768$	19.8554	−	13.4862i	0.716469	−	0.486642i
$769$			1.35549i			0.0488803i	0.999701	+	0.0244401i	$0.00778031\pi$
$769$			1.35549i			0.0488803i	−0.999701	+	0.0244401i	$0.992220\pi$
$770$	−0.765727	−	17.3326i	−0.0275949	−	0.624625i
$771$	41.9576			1.51106
$772$	36.5200	−	33.2264i	1.31438	−	1.19584i
$773$	−5.85244	+	21.8416i	−0.210498	+	0.785588i	0.777205	+	0.629247i	$0.216637\pi$
$773$	−5.85244	+	21.8416i	−0.210498	+	0.785588i	−0.987703	+	0.156341i	$0.950030\pi$
$774$	7.76104	+	8.13619i	0.278965	+	0.292449i
$775$	−9.93043	−	19.3673i	−0.356712	−	0.695693i
$776$	28.0709	+	32.3551i	1.00768	+	1.16148i
$777$	15.4566	+	2.63972i	0.554502	+	0.0946996i
$778$	−10.4116	+	17.0893i	−0.373275	+	0.612679i
$779$	3.46500	+	2.00052i	0.124146	+	0.0716760i
$780$	23.4791	+	27.1343i	0.840687	+	0.971564i
$781$	−9.60033	+	5.54275i	−0.343527	+	0.198335i
$782$	14.7480	−	8.05694i	0.527386	−	0.288116i
$783$	−31.8639	−	31.8639i	−1.13872	−	1.13872i
$784$	2.54225	+	27.8844i	0.0907945	+	0.995870i
$785$	−3.29051	−	6.04197i	−0.117443	−	0.215647i
$786$	4.25529	+	1.24851i	0.151781	+	0.0445330i
$787$	3.63323	−	13.5594i	0.129511	−	0.483340i	−0.870450	−	0.492257i	$-0.836172\pi$
$787$	3.63323	−	13.5594i	0.129511	−	0.483340i	0.999960	+	0.00891736i	$0.00283852\pi$
$788$	2.58322	+	11.8514i	0.0920234	+	0.422188i
$789$	12.0622	−	20.8924i	0.429426	−	0.743788i
$790$	−14.6245	−	16.1166i	−0.520316	−	0.573401i
$791$	−26.2016	−	36.9945i	−0.931623	−	1.31537i
$792$	−0.310923	+	4.38531i	−0.0110482	+	0.155825i
$793$	−11.8282	−	44.1434i	−0.420031	−	1.56758i
$794$	14.4412	−	13.7754i	0.512500	−	0.488869i
$795$	27.8421	−	6.72186i	0.987456	−	0.238400i
$796$	40.6250	+	1.91845i	1.43992	+	0.0679977i
$797$	8.95615	−	8.95615i	0.317243	−	0.317243i	−0.530464	−	0.847707i	$-0.677982\pi$
$797$	8.95615	−	8.95615i	0.317243	−	0.317243i	0.847707	+	0.530464i	$0.177982\pi$
$798$	11.4494	+	5.59503i	0.405306	+	0.198062i
$799$	−1.89846			−0.0671625
$800$	21.7893	+	18.0340i	0.770368	+	0.637600i
$801$	−2.72532	−	4.72039i	−0.0962944	−	0.166787i
$802$	34.4833	+	0.813756i	1.21765	+	0.0287347i
$803$	0.314226	+	1.17271i	0.0110888	+	0.0413839i
$804$	−4.60857	−	8.93035i	−0.162532	−	0.314949i
$805$	−26.9740	+	30.9007i	−0.950710	+	1.08911i
$806$	7.76902	+	31.9956i	0.273652	+	1.12700i
$807$	2.04075	+	7.61618i	0.0718378	+	0.268102i
$808$	17.4876	−	8.50827i	0.615210	−	0.299320i
$809$	−28.0498	+	16.1946i	−0.986178	+	0.569370i	−0.904130	−	0.427258i	$-0.859480\pi$
$809$	−28.0498	+	16.1946i	−0.986178	+	0.569370i	−0.0820487	+	0.996628i	$0.526146\pi$
$810$	−19.1293	+	4.14333i	−0.672136	+	0.145582i
$811$	−8.22841			−0.288938			−0.144469	−	0.989509i	$-0.546147\pi$
$811$	−8.22841			−0.288938			−0.144469	+	0.989509i	$0.546147\pi$
$812$	−31.3065	−	28.5821i	−1.09864	−	1.00304i
$813$	−6.60569	−	6.60569i	−0.231672	−	0.231672i
$814$	11.1172	+	3.26182i	0.389658	+	0.114327i
$815$	−1.01214	+	1.65640i	−0.0354538	+	0.0580213i
$816$	10.2388	+	0.969186i	0.358430	+	0.0339283i
$817$	23.2616	−	6.23292i	0.813819	−	0.218062i
$818$	3.30304	+	2.01237i	0.115488	+	0.0703610i
$819$	10.5613	−	0.981298i	0.369043	−	0.0342893i
$820$	−7.73994	+	1.48619i	−0.270291	+	0.0519000i
$821$	−29.6787	−	17.1350i	−1.03579	−	0.598016i	−0.117155	−	0.993114i	$-0.537377\pi$
$821$	−29.6787	−	17.1350i	−1.03579	−	0.598016i	−0.918639	+	0.395098i	$0.870711\pi$
$822$	−0.0306076		0.000722296i	−0.00106756		2.51930e-5i
$823$	−9.40737	+	35.1088i	−0.327920	+	1.22382i	0.583423	+	0.812168i	$0.301713\pi$
$823$	−9.40737	+	35.1088i	−0.327920	+	1.22382i	−0.911343	+	0.411647i	$0.864954\pi$
$824$	32.1869	−	6.22413i	1.12129	−	0.216828i
$825$	15.2058	−	3.27267i	0.529399	−	0.113940i
$826$	23.6492	−	27.1636i	0.822859	−	0.945141i
$827$	17.3030	+	17.3030i	0.601684	+	0.601684i	0.940759	−	0.339075i	$-0.110114\pi$
$827$	17.3030	+	17.3030i	0.601684	+	0.601684i	−0.339075	+	0.940759i	$0.610114\pi$
$828$	7.68799	−	6.99462i	0.267176	−	0.243080i
$829$	3.29605	+	5.70893i	0.114477	+	0.198279i	0.917570	−	0.397573i	$-0.130148\pi$
$829$	3.29605	+	5.70893i	0.114477	+	0.198279i	−0.803094	+	0.595853i	$0.796814\pi$
$830$	−18.6603	−	36.2759i	−0.647708	−	1.25916i
$831$	−7.01024	−	4.04736i	−0.243183	−	0.140402i
$832$	−25.6841	−	34.2218i	−0.890436	−	1.18643i
$833$	−6.77531	+	9.90128i	−0.234751	+	0.343059i
$834$	−5.54723	+	1.34695i	−0.192085	+	0.0466411i
$835$	33.3117	+	0.829780i	1.15280	+	0.0287157i
$836$	7.92315	+	5.08730i	0.274028	+	0.175948i
$837$	−23.6506	−	6.33715i	−0.817483	−	0.219044i
$838$	11.2992	−	6.17282i	0.390323	−	0.213237i
$839$	53.0081			1.83004			0.915022	−	0.403405i	$-0.132173\pi$
$839$	53.0081			1.83004			0.915022	+	0.403405i	$0.132173\pi$
$840$	−24.2666	+	6.42323i	−0.837276	+	0.221623i
$841$	35.1800			1.21310
$842$	8.85032	−	4.83501i	0.305002	−	0.166625i
$843$	−40.8023	−	10.9329i	−1.40531	−	0.376550i
$844$	16.1321	−	25.1248i	0.555290	−	0.864830i
$845$	25.2826	−	24.0537i	0.869749	−	0.827472i
$846$	−1.14100	+	0.277053i	−0.0392286	+	0.00952529i
$847$	−13.6402	−	11.3210i	−0.468684	−	0.388994i
$848$	−33.6766	+	5.69151i	−1.15646	+	0.195447i
$849$	−29.3271	−	16.9320i	−1.00650	−	0.581105i
$850$	2.26975	+	11.9049i	0.0778518	+	0.408334i
$851$	−13.6956	−	23.7215i	−0.469479	−	0.813161i
$852$	10.7938	+	11.8637i	0.369788	+	0.406445i
$853$	35.4072	+	35.4072i	1.21232	+	1.21232i	0.970262	+	0.242056i	$0.0778218\pi$
$853$	35.4072	+	35.4072i	1.21232	+	1.21232i	0.242056	+	0.970262i	$0.422178\pi$
$854$	31.3789	+	6.12416i	1.07376	+	0.209564i
$855$	1.07608	−	3.64987i	0.0368012	−	0.124823i
$856$	−25.3095	+	4.89420i	−0.865060	+	0.167280i
$857$	−1.40287	+	5.23560i	−0.0479213	+	0.178845i	−0.985738	−	0.168285i	$-0.946177\pi$
$857$	−1.40287	+	5.23560i	−0.0479213	+	0.178845i	0.937817	+	0.347130i	$0.112844\pi$
$858$	−23.5233	−	0.555116i	−0.803072	−	0.0189514i
$859$	1.32568	+	0.765383i	0.0452317	+	0.0261145i	0.522445	−	0.852673i	$-0.325020\pi$
$859$	1.32568	+	0.765383i	0.0452317	+	0.0261145i	−0.477214	+	0.878787i	$0.658353\pi$
$860$	−26.6164	+	39.2670i	−0.907610	+	1.33899i
$861$	2.92192	−	6.35515i	0.0995788	−	0.216583i
$862$	25.1689	+	15.3341i	0.857256	+	0.522283i
$863$	−2.24150	+	0.600608i	−0.0763016	+	0.0204449i	−0.296768	−	0.954950i	$-0.595909\pi$
$863$	−2.24150	+	0.600608i	−0.0763016	+	0.0204449i	0.220466	+	0.975395i	$0.429242\pi$
$864$	31.4906	−	4.56074i	1.07133	−	0.155160i
$865$	32.2661	+	19.7161i	1.09708	+	0.670368i
$866$	−14.3460	−	4.20917i	−0.487498	−	0.143033i
$867$	−14.9169	−	14.9169i	−0.506606	−	0.506606i
$868$	−22.4967	−	4.94431i	−0.763589	−	0.167821i
$869$	14.2710			0.484110
$870$	20.5754	−	31.9528i	0.697573	−	1.08330i
$871$	−15.5145	+	8.95729i	−0.525688	+	0.303506i
$872$	−14.7135	−	30.2415i	−0.498262	−	1.02411i
$873$	2.93801	+	10.9648i	0.0994366	+	0.371103i
$874$	−5.25262	−	21.6322i	−0.177672	−	0.731719i
$875$	−15.2472	−	25.3480i	−0.515451	−	0.856919i
$876$	1.56099	−	0.805558i	0.0527409	−	0.0272173i
$877$	−7.17913	−	26.7929i	−0.242422	−	0.904731i	−0.974662	−	0.223684i	$-0.928192\pi$
$877$	−7.17913	−	26.7929i	−0.242422	−	0.904731i	0.732240	−	0.681047i	$-0.238475\pi$
$878$	20.9319	+	0.493962i	0.706417	+	0.0166704i
$879$	−21.8116	−	37.7788i	−0.735686	−	1.27425i
$880$	−18.3594	+	2.63441i	−0.618895	+	0.0888059i
$881$	−12.2442			−0.412518			−0.206259	−	0.978497i	$-0.566129\pi$
$881$	−12.2442			−0.412518			−0.206259	+	0.978497i	$0.566129\pi$
$882$	−2.62712	+	6.93961i	−0.0884599	+	0.233669i
$883$	16.6226	−	16.6226i	0.559395	−	0.559395i	−0.369740	−	0.929135i	$-0.620553\pi$
$883$	16.6226	−	16.6226i	0.559395	−	0.559395i	0.929135	+	0.369740i	$0.120553\pi$
$884$	0.864825	−	18.3135i	0.0290872	−	0.615949i
$885$	27.5520	+	16.8356i	0.926151	+	0.565923i
$886$	−15.9053	+	15.1719i	−0.534348	+	0.509710i
$887$	4.62259	+	17.2517i	0.155211	+	0.579256i	0.999087	+	0.0427179i	$0.0136017\pi$
$887$	4.62259	+	17.2517i	0.155211	+	0.579256i	−0.843876	+	0.536538i	$0.819732\pi$
$888$	1.18554	−	16.7211i	0.0397841	−	0.561122i
$889$	−6.76274	−	9.54842i	−0.226815	−	0.320244i
$890$	17.0294	−	15.4528i	0.570828	−	0.517980i
$891$	6.41747	−	11.1154i	0.214993	−	0.372380i
$892$	42.4599	−	9.25488i	1.42166	−	0.309876i
$893$	−0.650865	+	2.42906i	−0.0217804	+	0.0812854i
$894$	−24.4319	−	7.16838i	−0.817124	−	0.239747i
$895$	−17.3486	−	5.11483i	−0.579899	−	0.170970i
$896$	29.3986	−	5.63224i	0.982138	−	0.188160i
$897$	39.3357	+	39.3357i	1.31338	+	1.31338i
$898$	24.8672	−	13.5852i	0.829830	−	0.453343i
$899$	30.2005	−	17.4363i	1.00724	−	0.581532i
$900$	3.10151	+	6.82380i	0.103384	+	0.227460i
$901$	−12.6738	−	7.31724i	−0.422227	−	0.243773i
$902$	2.68897	−	4.41358i	0.0895330	−	0.146956i
$903$	−14.6120	−	39.4838i	−0.486258	−	1.31394i
$904$	−36.6066	+	31.7594i	−1.21752	+	1.05630i
$905$	−13.5481	+	12.8895i	−0.450353	+	0.428462i
$906$	0.250577	+	0.262690i	0.00832488	+	0.00872728i
$907$	−10.7574	+	40.1471i	−0.357193	+	1.33306i	0.520510	+	0.853856i	$0.325742\pi$
$907$	−10.7574	+	40.1471i	−0.357193	+	1.33306i	−0.877702	+	0.479206i	$0.840925\pi$
$908$	3.06763	+	3.37171i	0.101803	+	0.111894i
$909$	5.15375			0.170939
$910$	13.4782	+	42.6706i	0.446799	+	1.41452i
$911$		−	7.85892i		−	0.260378i	−0.991489	−	0.130189i	$-0.958442\pi$
$911$		−	7.85892i		−	0.260378i	0.991489	−	0.130189i	$-0.0415584\pi$
$912$	4.75034	−	12.7682i	0.157299	−	0.422798i
$913$	25.8392	+	6.92359i	0.855152	+	0.229137i
$914$	−9.89345	−	10.3717i	−0.327246	−	0.343065i
$915$	−0.713743	+	28.6533i	−0.0235956	+	0.947250i
$916$	−4.74207	−	9.18904i	−0.156682	−	0.303614i
$917$	4.25565	+	3.53206i	0.140534	+	0.116639i
$918$	11.6432	+	7.09364i	0.384284	+	0.234125i
$919$	−5.33141	+	9.23428i	−0.175867	+	0.304611i	−0.940461	−	0.339902i	$-0.889606\pi$
$919$	−5.33141	+	9.23428i	−0.175867	+	0.304611i	0.764594	+	0.644512i	$0.222940\pi$
$920$	35.7066	+	25.4528i	1.17721	+	0.839152i
$921$	−16.5098	−	28.5958i	−0.544016	−	0.942263i
$922$	37.5052	−	20.4894i	1.23517	−	0.674782i
$923$	20.2177	−	20.2177i	0.665475	−	0.665475i
$924$	7.57409	−	14.6148i	0.249169	−	0.480792i
$925$	19.3113	−	4.15626i	0.634951	−	0.136657i
$926$	−13.5575	+	46.2078i	−0.445527	+	1.51848i
$927$	8.39180	+	2.24858i	0.275623	+	0.0738529i
$928$	−27.1210	+	36.3072i	−0.890290	+	1.19184i
$929$	−25.4869	−	14.7149i	−0.836197	−	0.482779i	0.0197726	−	0.999805i	$-0.493706\pi$
$929$	−25.4869	−	14.7149i	−0.836197	−	0.482779i	−0.855970	+	0.517026i	$0.827039\pi$
$930$	1.00110	−	20.6256i	0.0328273	−	0.676341i
$931$	10.3458	+	12.0635i	0.339069	+	0.395366i
$932$	−4.14023	−	1.32161i	−0.135618	−	0.0432907i
$933$	14.0049	−	3.75261i	0.458501	−	0.122855i
$934$	31.1362	+	32.6412i	1.01881	+	1.06805i
$935$	−6.78144	−	4.14378i	−0.221777	−	0.135516i
$936$	−2.15282	−	11.1329i	−0.0703672	−	0.363891i
$937$	−8.44266	−	8.44266i	−0.275810	−	0.275810i	0.555624	−	0.831434i	$-0.312479\pi$
$937$	−8.44266	−	8.44266i	−0.275810	−	0.275810i	−0.831434	+	0.555624i	$0.812479\pi$
$938$	−0.864736	−	12.5027i	−0.0282346	−	0.408227i
$939$			2.13918i			0.0698094i
$940$	−2.16137	−	4.45722i	−0.0704960	−	0.145378i
$941$	22.7532	−	13.1366i	0.741732	−	0.428239i	−0.0809665	−	0.996717i	$-0.525801\pi$
$941$	22.7532	−	13.1366i	0.741732	−	0.428239i	0.822699	+	0.568477i	$0.192467\pi$
$942$	0.153996	−	6.52566i	0.00501747	−	0.212617i
$943$	−11.8023	+	3.16241i	−0.384335	+	0.102982i
$944$	−31.3816	−	22.3079i	−1.02139	−	0.726059i
$945$	−32.6527	−	6.41719i	−1.06219	−	0.208751i
$946$	−7.34003	−	30.2289i	−0.238645	−	0.982826i
$947$	−55.9090	+	14.9808i	−1.81680	+	0.486810i	−0.996384	−	0.0849604i	$-0.972924\pi$
$947$	−55.9090	+	14.9808i	−1.81680	+	0.486810i	−0.820414	+	0.571770i	$0.806257\pi$
$948$	−4.39736	−	20.1743i	−0.142819	−	0.655232i
$949$	−1.56570	−	2.71187i	−0.0508247	−	0.0880309i
$950$	16.0104	+	1.17733i	0.519445	+	0.0381975i
$951$			45.1669i			1.46464i
$952$	11.2451	+	6.16855i	0.364456	+	0.199924i
$953$	−8.93166	+	8.93166i	−0.289325	+	0.289325i	−0.836813	−	0.547488i	$-0.815584\pi$
$953$	−8.93166	+	8.93166i	−0.289325	+	0.289325i	0.547488	+	0.836813i	$0.315584\pi$
$954$	−8.68505	−	2.54822i	−0.281189	−	0.0825016i
$955$	−0.913170	−	3.78237i	−0.0295495	−	0.122394i
$956$	12.9502	−	20.1692i	0.418839	−	0.652317i
$957$	6.45014	+	24.0722i	0.208503	+	0.778145i
$958$	−24.9279	+	40.9157i	−0.805382	+	1.32193i
$959$	−0.0346903	−	0.0159496i	−0.00112021	−	0.000515041i
$960$	9.38130	+	25.1423i	0.302780	+	0.811463i
$961$	−6.02590	+	10.4372i	−0.194384	+	0.336683i
$962$	−29.8744	−	0.704992i	−0.963188	−	0.0227299i
$963$	−6.59870	−	1.76812i	−0.212640	−	0.0569767i
$964$	−28.1684	−	1.33021i	−0.907243	−	0.0428431i
$965$	26.4014	+	48.4778i	0.849892	+	1.56056i
$966$	−36.8060	+	12.6421i	−1.18421	+	0.406752i
$967$	−31.6291	+	31.6291i	−1.01712	+	1.01712i	−0.0172727	+	0.999851i	$0.505498\pi$
$967$	−31.6291	+	31.6291i	−1.01712	+	1.01712i	−0.999851	+	0.0172727i	$0.994502\pi$
$968$	−10.6120	+	15.7001i	−0.341084	+	0.504622i
$969$	5.05528	−	2.91867i	0.162399	−	0.0937611i
$970$	−42.5868	+	21.9066i	−1.36738	+	0.703378i
$971$	2.92796	−	5.07137i	0.0939626	−	0.162748i	−0.815213	−	0.579162i	$-0.803380\pi$
$971$	2.92796	−	5.07137i	0.0939626	−	0.162748i	0.909175	+	0.416414i	$0.136713\pi$
$972$	14.4602	+	4.61586i	0.463811	+	0.148054i
$973$	−7.01735	−	1.19844i	−0.224966	−	0.0384204i
$974$	9.23069	+	38.0153i	0.295771	+	1.21809i
$975$	−35.6985	+	18.3041i	−1.14327	+	0.586202i
$976$	3.22085	−	34.0262i	0.103097	−	1.08915i
$977$	6.61390	−	24.6834i	0.211597	−	0.789693i	−0.775739	−	0.631054i	$-0.782623\pi$
$977$	6.61390	−	24.6834i	0.211597	−	0.789693i	0.987337	−	0.158639i	$-0.0507106\pi$
$978$	−1.61626	+	0.882978i	−0.0516824	+	0.0282345i
$979$			15.0793i			0.481937i
$980$	−30.9600	−	4.63468i	−0.988980	−	0.148050i
$981$		−	8.91247i		−	0.284553i
$982$	0.0922870	+	0.168928i	0.00294500	+	0.00539072i
$983$	1.57235	−	5.86808i	0.0501501	−	0.187163i	−0.936307	−	0.351183i	$-0.885780\pi$
$983$	1.57235	−	5.86808i	0.0501501	−	0.187163i	0.986457	+	0.164020i	$0.0524462\pi$
$984$	−7.06787	−	2.44133i	−0.225316	−	0.0778268i
$985$	−13.5572	−	0.337703i	−0.431967	−	0.0107601i
$986$	−18.8698	+	4.58188i	−0.600938	+	0.145917i
$987$	4.33359	+	0.740103i	0.137940	+	0.0235577i
$988$	−23.1355	−	7.38511i	−0.736037	−	0.234952i
$989$	−36.7718	+	63.6906i	−1.16928	+	2.02524i
$990$	−4.68049	−	1.50083i	−0.148756	−	0.0476995i
$991$	52.1775	−	30.1247i	1.65747	−	0.956943i	0.683598	−	0.729859i	$-0.260414\pi$
$991$	52.1775	−	30.1247i	1.65747	−	0.956943i	0.973875	−	0.227084i	$-0.0729191\pi$
$992$	−2.89819	+	24.4529i	−0.0920175	+	0.776379i
$993$	−22.3500	+	22.3500i	−0.709256	+	0.709256i
$994$	6.49776	+	18.9175i	0.206097	+	0.600027i
$995$	−12.8588	+	43.6147i	−0.407650	+	1.38268i
$996$	1.82572	−	38.6613i	0.0578501	−	1.22503i
$997$	30.3288	+	8.12658i	0.960522	+	0.257371i	0.704821	−	0.709385i	$-0.251027\pi$
$997$	30.3288	+	8.12658i	0.960522	+	0.257371i	0.255701	+	0.966756i	$0.417694\pi$
$998$	−0.0163302	+	0.692001i	−0.000516925	+	0.0219049i
$999$	11.1111	−	19.2450i	0.351540	−	0.608885i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.30	yes	176
5.3	odd	4	inner	280.2.br.a.163.37	yes	176
7.4	even	3	inner	280.2.br.a.67.1	✓	176
8.3	odd	2	inner	280.2.br.a.107.23	yes	176
35.18	odd	12	inner	280.2.br.a.123.23	yes	176
40.3	even	4	inner	280.2.br.a.163.1	yes	176
56.11	odd	6	inner	280.2.br.a.67.37	yes	176
280.123	even	12	inner	280.2.br.a.123.30	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.1	✓	176	7.4	even	3	inner
280.2.br.a.67.37	yes	176	56.11	odd	6	inner
280.2.br.a.107.23	yes	176	8.3	odd	2	inner
280.2.br.a.107.30	yes	176	1.1	even	1	trivial
280.2.br.a.123.23	yes	176	35.18	odd	12	inner
280.2.br.a.123.30	yes	176	280.123	even	12	inner
280.2.br.a.163.1	yes	176	40.3	even	4	inner
280.2.br.a.163.37	yes	176	5.3	odd	4	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.678016 + 1.24109i) q^{2} +(-1.44903 - 0.388267i) q^{3} +(-1.08059 + 1.68295i) q^{4} +(-1.54128 - 1.62002i) q^{5} +(-0.500594 - 2.06162i) q^{6} +(0.445401 - 2.60799i) q^{7} +(-2.82134 - 0.200036i) q^{8} +(-0.649136 - 0.374779i) q^{9} +O(q^{10})\)	\(q+(0.678016 + 1.24109i) q^{2} +(-1.44903 - 0.388267i) q^{3} +(-1.08059 + 1.68295i) q^{4} +(-1.54128 - 1.62002i) q^{5} +(-0.500594 - 2.06162i) q^{6} +(0.445401 - 2.60799i) q^{7} +(-2.82134 - 0.200036i) q^{8} +(-0.649136 - 0.374779i) q^{9} +(0.965578 - 3.01126i) q^{10} +(1.03683 + 1.79585i) q^{11} +(2.21924 - 2.01909i) q^{12} +(-3.78195 - 3.78195i) q^{13} +(3.53873 - 1.21548i) q^{14} +(1.60436 + 2.94589i) q^{15} +(-1.66465 - 3.63716i) q^{16} +(0.443598 - 1.65553i) q^{17} +(0.0250083 - 1.05974i) q^{18} +(-1.96616 - 1.13516i) q^{19} +(4.39190 - 0.843314i) q^{20} +(-1.65800 + 3.60613i) q^{21} +(-1.52581 + 2.50441i) q^{22} +(6.69701 - 1.79446i) q^{23} +(4.01055 + 1.38529i) q^{24} +(-0.248941 + 4.99380i) q^{25} +(2.12951 - 7.25795i) q^{26} +(3.97740 + 3.97740i) q^{27} +(3.90783 + 3.56776i) q^{28} -8.01124 q^{29} +(-2.56832 + 3.98850i) q^{30} +(-3.76977 + 2.17648i) q^{31} +(3.38537 - 4.53203i) q^{32} +(-0.805136 - 3.00481i) q^{33} +(2.35542 - 0.571932i) q^{34} +(-4.91149 + 3.29807i) q^{35} +(1.33218 - 0.687482i) q^{36} +(-1.02252 - 3.81608i) q^{37} +(0.0757473 - 3.20983i) q^{38} +(4.01176 + 6.94858i) q^{39} +(4.02441 + 4.87895i) q^{40} -1.76232 q^{41} +(-5.59966 + 0.387295i) q^{42} +(-7.50054 + 7.50054i) q^{43} +(-4.14272 - 0.195633i) q^{44} +(0.393347 + 1.62925i) q^{45} +(6.76776 + 7.09490i) q^{46} +(-0.286684 - 1.06992i) q^{47} +(0.999948 + 5.91669i) q^{48} +(-6.60324 - 2.32320i) q^{49} +(-6.36652 + 3.07692i) q^{50} +(-1.28557 + 2.22668i) q^{51} +(10.4516 - 2.27811i) q^{52} +(2.20994 - 8.24761i) q^{53} +(-2.23955 + 7.63303i) q^{54} +(1.31127 - 4.44759i) q^{55} +(-1.77832 + 7.26895i) q^{56} +(2.40828 + 2.40828i) q^{57} +(-5.43175 - 9.94264i) q^{58} +(8.33605 - 4.81282i) q^{59} +(-6.69144 - 0.483242i) q^{60} +(7.39983 + 4.27229i) q^{61} +(-5.25716 - 3.20292i) q^{62} +(-1.26655 + 1.52601i) q^{63} +(7.91997 + 1.12874i) q^{64} +(-0.297816 + 11.9559i) q^{65} +(3.18333 - 3.03655i) q^{66} +(0.866905 - 3.23533i) q^{67} +(2.30683 + 2.53550i) q^{68} -10.4009 q^{69} +(-7.42326 - 3.85943i) q^{70} +5.34585i q^{71} +(1.75647 + 1.18723i) q^{72} +(0.565523 + 0.151531i) q^{73} +(4.04280 - 3.85639i) q^{74} +(2.29965 - 7.13952i) q^{75} +(4.03503 - 2.08230i) q^{76} +(5.14536 - 1.90418i) q^{77} +(-5.90374 + 9.69019i) q^{78} +(3.44100 - 5.95998i) q^{79} +(-3.32659 + 8.30264i) q^{80} +(-3.09475 - 5.36026i) q^{81} +(-1.19488 - 2.18719i) q^{82} +(9.12181 - 9.12181i) q^{83} +(-4.27732 - 6.68707i) q^{84} +(-3.36570 + 1.83299i) q^{85} +(-14.3943 - 4.22333i) q^{86} +(11.6085 + 3.11050i) q^{87} +(-2.56603 - 5.27411i) q^{88} +(6.29757 + 3.63590i) q^{89} +(-1.75535 + 1.59284i) q^{90} +(-11.5478 + 8.17882i) q^{91} +(-4.21673 + 13.2098i) q^{92} +(6.30756 - 1.69011i) q^{93} +(1.13349 - 1.08122i) q^{94} +(1.19140 + 4.93481i) q^{95} +(-6.66514 + 5.25263i) q^{96} +(-10.7087 - 10.7087i) q^{97} +(-1.59380 - 9.77035i) q^{98} -1.55433i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

L-functions

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