LMFDB - Embedded newform 230.2.l.a.57.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [230,2,Mod(7,230)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(230, base_ring=CyclotomicField(44))

chi = DirichletCharacter(H, H._module([11, 38]))

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

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

chi := DirichletCharacter("230.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 230 = 2 \cdot 5 \cdot 23 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	230.l (of order $44$, degree $20$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.83655924649$
Analytic rank:	$0$
Dimension:	$240$
Relative dimension:	$12$ over $\Q(\zeta_{44})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label			57.8
Character	$\chi$	$=$	230.57
Dual form			230.2.l.a.113.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.977147 + 0.212565i) q^{2} +(-1.21318 - 1.62061i) q^{3} +(0.909632 + 0.415415i) q^{4} +(0.653645 + 2.13840i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(2.48898 + 0.178015i) q^{7} +(0.800541 + 0.599278i) q^{8} +(-0.309393 + 1.05370i) q^{9} +O(q^{10})$	\(q+(0.977147 + 0.212565i) q^{2} +(-1.21318 - 1.62061i) q^{3} +(0.909632 + 0.415415i) q^{4} +(0.653645 + 2.13840i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(2.48898 + 0.178015i) q^{7} +(0.800541 + 0.599278i) q^{8} +(-0.309393 + 1.05370i) q^{9} +(0.184158 + 2.22847i) q^{10} +(2.81423 - 4.37903i) q^{11} +(-0.430316 - 1.97813i) q^{12} +(0.0979527 + 1.36956i) q^{13} +(2.39426 + 0.703018i) q^{14} +(2.67253 - 3.65356i) q^{15} +(0.654861 + 0.755750i) q^{16} +(-5.11295 - 1.90703i) q^{17} +(-0.526302 + 0.963851i) q^{18} +(-0.418404 + 0.916178i) q^{19} +(-0.293747 + 2.21669i) q^{20} +(-2.73108 - 4.24964i) q^{21} +(3.68075 - 3.68075i) q^{22} +(3.28025 + 3.49856i) q^{23} -2.02440i q^{24} +(-4.14550 + 2.79551i) q^{25} +(-0.195406 + 1.35908i) q^{26} +(-3.60729 + 1.34545i) q^{27} +(2.19011 + 1.19589i) q^{28} +(0.914515 - 0.417645i) q^{29} +(3.38807 - 3.00198i) q^{30} +(0.224850 + 1.56387i) q^{31} +(0.479249 + 0.877679i) q^{32} +(-10.5109 + 0.751753i) q^{33} +(-4.59074 - 2.95029i) q^{34} +(1.24624 + 5.43879i) q^{35} +(-0.719156 + 0.829950i) q^{36} +(-6.66101 + 3.63719i) q^{37} +(-0.603590 + 0.806302i) q^{38} +(2.10069 - 1.82026i) q^{39} +(-0.758225 + 2.10359i) q^{40} +(5.36782 - 1.57613i) q^{41} +(-1.76534 - 4.73305i) q^{42} +(-8.71442 + 6.52353i) q^{43} +(4.37903 - 2.81423i) q^{44} +(-2.45546 + 0.0271374i) q^{45} +(2.46161 + 4.11588i) q^{46} +(-1.51324 - 1.51324i) q^{47} +(0.430316 - 1.97813i) q^{48} +(-0.765416 - 0.110050i) q^{49} +(-4.64499 + 1.85043i) q^{50} +(3.11235 + 10.5997i) q^{51} +(-0.479834 + 1.28648i) q^{52} +(0.289527 - 4.04812i) q^{53} +(-3.81085 + 0.547917i) q^{54} +(11.2036 + 3.15562i) q^{55} +(1.88585 + 1.63410i) q^{56} +(1.99237 - 0.433413i) q^{57} +(0.982392 - 0.213706i) q^{58} +(-4.89177 - 4.23875i) q^{59} +(3.94876 - 2.21318i) q^{60} +(-8.75876 + 1.25932i) q^{61} +(-0.112712 + 1.57592i) q^{62} +(-0.957649 + 2.56756i) q^{63} +(0.281733 + 0.959493i) q^{64} +(-2.86463 + 1.10467i) q^{65} +(-10.4305 - 1.49967i) q^{66} +(3.34608 - 15.3817i) q^{67} +(-3.85869 - 3.85869i) q^{68} +(1.69030 - 9.56039i) q^{69} +(0.0616628 + 5.57941i) q^{70} +(4.18815 - 2.69156i) q^{71} +(-0.879140 + 0.658116i) q^{72} +(0.528197 + 1.41615i) q^{73} +(-7.28193 + 2.13817i) q^{74} +(9.55965 + 3.32681i) q^{75} +(-0.761188 + 0.659573i) q^{76} +(7.78411 - 10.3983i) q^{77} +(2.43960 - 1.33213i) q^{78} +(7.48523 - 8.63842i) q^{79} +(-1.18805 + 1.89435i) q^{80} +(9.32828 + 5.99492i) q^{81} +(5.58018 - 0.399102i) q^{82} +(-5.71168 - 10.4602i) q^{83} +(-0.718911 - 5.00014i) q^{84} +(0.735940 - 12.1800i) q^{85} +(-9.90194 + 4.52206i) q^{86} +(-1.78631 - 0.975398i) q^{87} +(4.87717 - 1.81909i) q^{88} +(-2.03182 + 14.1316i) q^{89} +(-2.40511 - 0.495428i) q^{90} +3.42624i q^{91} +(1.53046 + 4.54507i) q^{92} +(2.26164 - 2.26164i) q^{93} +(-1.15700 - 1.80032i) q^{94} +(-2.23264 - 0.295860i) q^{95} +(0.840965 - 1.84146i) q^{96} +(-3.22609 + 5.90815i) q^{97} +(-0.724531 - 0.270236i) q^{98} +(3.74347 + 4.32019i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) $ 240 * q - 8 * q^3 - 8 * q^6	$ 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) $ 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	0.977147	+	0.212565i	0.690947	+	0.150306i
$2$	0.977147	+	0.212565i	0.690947	+	0.150306i
$3$	−1.21318	−	1.62061i	−0.700427	−	0.935661i	0.299402	−	0.954127i	$-0.403213\pi$
$3$	−1.21318	−	1.62061i	−0.700427	−	0.935661i	−0.999829	+	0.0184657i	$0.994122\pi$
$4$	0.909632	+	0.415415i	0.454816	+	0.207708i
$5$	0.653645	+	2.13840i	0.292319	+	0.956321i
$5$	0.653645	+	2.13840i	0.292319	+	0.956321i
$6$	−0.840965	−	1.84146i	−0.343322	−	0.751771i
$7$	2.48898	+	0.178015i	0.940746	+	0.0672835i	0.533282	−	0.845938i	$-0.320959\pi$
$7$	2.48898	+	0.178015i	0.940746	+	0.0672835i	0.407464	+	0.913221i	$0.366413\pi$
$8$	0.800541	+	0.599278i	0.283034	+	0.211877i
$9$	−0.309393	+	1.05370i	−0.103131	+	0.351232i
$10$	0.184158	+	2.22847i	0.0582358	+	0.704705i
$11$	2.81423	−	4.37903i	0.848523	−	1.32033i	−0.0971700	−	0.995268i	$-0.530979\pi$
$11$	2.81423	−	4.37903i	0.848523	−	1.32033i	0.945693	−	0.325060i	$-0.105385\pi$
$12$	−0.430316	−	1.97813i	−0.124222	−	0.571038i
$13$	0.0979527	+	1.36956i	0.0271672	+	0.379847i	0.992787	+	0.119889i	$0.0382540\pi$
$13$	0.0979527	+	1.36956i	0.0271672	+	0.379847i	−0.965620	+	0.259957i	$0.916291\pi$
$14$	2.39426	+	0.703018i	0.639893	+	0.187889i
$15$	2.67253	−	3.65356i	0.690044	−	0.943345i
$16$	0.654861	+	0.755750i	0.163715	+	0.188937i
$17$	−5.11295	−	1.90703i	−1.24007	−	0.462523i	−0.358038	−	0.933707i	$-0.616554\pi$
$17$	−5.11295	−	1.90703i	−1.24007	−	0.462523i	−0.882035	+	0.471184i	$0.843827\pi$
$18$	−0.526302	+	0.963851i	−0.124051	+	0.227182i
$19$	−0.418404	+	0.916178i	−0.0959885	+	0.210186i	−0.951535	−	0.307540i	$-0.900494\pi$
$19$	−0.418404	+	0.916178i	−0.0959885	+	0.210186i	0.855546	+	0.517726i	$0.173221\pi$
$20$	−0.293747	+	2.21669i	−0.0656837	+	0.495667i
$21$	−2.73108	−	4.24964i	−0.595970	−	0.927347i
$22$	3.68075	−	3.68075i	0.784738	−	0.784738i
$23$	3.28025	+	3.49856i	0.683980	+	0.729501i
$23$	3.28025	+	3.49856i	0.683980	+	0.729501i
$24$		−	2.02440i		−	0.413228i
$25$	−4.14550	+	2.79551i	−0.829099	+	0.559101i
$26$	−0.195406	+	1.35908i	−0.0383223	+	0.266538i
$27$	−3.60729	+	1.34545i	−0.694223	+	0.258932i
$28$	2.19011	+	1.19589i	0.413891	+	0.226002i
$29$	0.914515	−	0.417645i	0.169821	−	0.0775547i	−0.328691	−	0.944438i	$-0.606607\pi$
$29$	0.914515	−	0.417645i	0.169821	−	0.0775547i	0.498512	+	0.866883i	$0.333880\pi$
$30$	3.38807	−	3.00198i	0.618575	−	0.548083i
$31$	0.224850	+	1.56387i	0.0403842	+	0.280879i	1.00000		0.000435811i	$-0.000138723\pi$
$31$	0.224850	+	1.56387i	0.0403842	+	0.280879i	−0.959616	+	0.281314i	$0.909230\pi$
$32$	0.479249	+	0.877679i	0.0847201	+	0.155153i
$33$	−10.5109	+	0.751753i	−1.82971	+	0.130863i
$34$	−4.59074	−	2.95029i	−0.787305	−	0.505970i
$35$	1.24624	+	5.43879i	0.210653	+	0.919323i
$36$	−0.719156	+	0.829950i	−0.119859	+	0.138325i
$37$	−6.66101	+	3.63719i	−1.09506	+	0.597950i	−0.922090	−	0.386976i	$-0.873520\pi$
$37$	−6.66101	+	3.63719i	−1.09506	+	0.597950i	−0.172974	+	0.984926i	$0.555338\pi$
$38$	−0.603590	+	0.806302i	−0.0979152	+	0.130799i
$39$	2.10069	−	1.82026i	0.336379	−	0.291474i
$40$	−0.758225	+	2.10359i	−0.119886	+	0.332607i
$41$	5.36782	−	1.57613i	0.838313	−	0.246151i	0.165728	−	0.986171i	$-0.447002\pi$
$41$	5.36782	−	1.57613i	0.838313	−	0.246151i	0.672584	+	0.740021i	$0.265184\pi$
$42$	−1.76534	−	4.73305i	−0.272397	−	0.730326i
$43$	−8.71442	+	6.52353i	−1.32894	+	0.994829i	−0.330234	+	0.943899i	$0.607128\pi$
$43$	−8.71442	+	6.52353i	−1.32894	+	0.994829i	−0.998702	+	0.0509297i	$0.983782\pi$
$44$	4.37903	−	2.81423i	0.660164	−	0.424262i
$45$	−2.45546	+	0.0271374i	−0.366038	+	0.00404540i
$46$	2.46161	+	4.11588i	0.362945	+	0.606853i
$47$	−1.51324	−	1.51324i	−0.220729	−	0.220729i	0.588076	−	0.808806i	$-0.299886\pi$
$47$	−1.51324	−	1.51324i	−0.220729	−	0.220729i	−0.808806	+	0.588076i	$0.799886\pi$
$48$	0.430316	−	1.97813i	0.0621108	−	0.285519i
$49$	−0.765416	−	0.110050i	−0.109345	−	0.0157215i
$50$	−4.64499	+	1.85043i	−0.656900	+	0.261691i
$51$	3.11235	+	10.5997i	0.435816	+	1.48425i
$52$	−0.479834	+	1.28648i	−0.0665410	+	0.178403i
$53$	0.289527	−	4.04812i	0.0397697	−	0.556052i	−0.938036	−	0.346538i	$-0.887357\pi$
$53$	0.289527	−	4.04812i	0.0397697	−	0.556052i	0.977806	−	0.209514i	$-0.0671883\pi$
$54$	−3.81085	+	0.547917i	−0.518591	+	0.0745621i
$55$	11.2036	+	3.15562i	1.51070	+	0.425504i
$56$	1.88585	+	1.63410i	0.252007	+	0.218366i
$57$	1.99237	−	0.433413i	0.263896	−	0.0574070i
$58$	0.982392	−	0.213706i	0.128994	−	0.0280610i
$59$	−4.89177	−	4.23875i	−0.636855	−	0.551838i	0.275468	−	0.961310i	$-0.411167\pi$
$59$	−4.89177	−	4.23875i	−0.636855	−	0.551838i	−0.912322	+	0.409473i	$0.865713\pi$
$60$	3.94876	−	2.21318i	0.509783	−	0.285721i
$61$	−8.75876	+	1.25932i	−1.12144	+	0.161239i	−0.677999	−	0.735063i	$-0.737153\pi$
$61$	−8.75876	+	1.25932i	−1.12144	+	0.161239i	−0.443444	+	0.896302i	$0.646244\pi$
$62$	−0.112712	+	1.57592i	−0.0143145	+	0.200142i
$63$	−0.957649	+	2.56756i	−0.120652	+	0.323482i
$64$	0.281733	+	0.959493i	0.0352166	+	0.119937i
$65$	−2.86463	+	1.10467i	−0.355314	+	0.137017i
$66$	−10.4305	−	1.49967i	−1.28390	−	0.184597i
$67$	3.34608	−	15.3817i	0.408789	−	1.87917i	−0.0639198	−	0.997955i	$-0.520360\pi$
$67$	3.34608	−	15.3817i	0.408789	−	1.87917i	0.472709	−	0.881219i	$-0.343276\pi$
$68$	−3.85869	−	3.85869i	−0.467935	−	0.467935i
$69$	1.69030	−	9.56039i	0.203488	−	1.15094i
$70$	0.0616628	+	5.57941i	0.00737011	+	0.666866i
$71$	4.18815	−	2.69156i	0.497042	−	0.319430i	−0.267990	−	0.963422i	$-0.586359\pi$
$71$	4.18815	−	2.69156i	0.497042	−	0.319430i	0.765032	+	0.643992i	$0.222723\pi$
$72$	−0.879140	+	0.658116i	−0.103608	+	0.0775597i
$73$	0.528197	+	1.41615i	0.0618208	+	0.165748i	0.964188	−	0.265221i	$-0.0854448\pi$
$73$	0.528197	+	1.41615i	0.0618208	+	0.165748i	−0.902367	+	0.430968i	$0.858172\pi$
$74$	−7.28193	+	2.13817i	−0.846507	+	0.248557i
$75$	9.55965	+	3.32681i	1.10385	+	0.384146i
$76$	−0.761188	+	0.659573i	−0.0873142	+	0.0756582i
$77$	7.78411	−	10.3983i	0.887081	−	1.18500i
$78$	2.43960	−	1.33213i	0.276231	−	0.150833i
$79$	7.48523	−	8.63842i	0.842154	−	0.971898i	−0.157724	−	0.987483i	$-0.550416\pi$
$79$	7.48523	−	8.63842i	0.842154	−	0.971898i	0.999879	+	0.0155854i	$0.00496120\pi$
$80$	−1.18805	+	1.89435i	−0.132828	+	0.211794i
$81$	9.32828	+	5.99492i	1.03648	+	0.666102i
$82$	5.58018	−	0.399102i	0.616228	−	0.0440735i
$83$	−5.71168	−	10.4602i	−0.626939	−	1.14815i	−0.977365	−	0.211562i	$-0.932145\pi$
$83$	−5.71168	−	10.4602i	−0.626939	−	1.14815i	0.350426	−	0.936590i	$-0.386037\pi$
$84$	−0.718911	−	5.00014i	−0.0784396	−	0.545560i
$85$	0.735940	−	12.1800i	0.0798240	−	1.32111i
$86$	−9.90194	+	4.52206i	−1.06775	+	0.487627i
$87$	−1.78631	−	0.975398i	−0.191512	−	0.104574i
$88$	4.87717	−	1.81909i	0.519908	−	0.193916i
$89$	−2.03182	+	14.1316i	−0.215372	+	1.49795i	0.539450	+	0.842018i	$0.318632\pi$
$89$	−2.03182	+	14.1316i	−0.215372	+	1.49795i	−0.754822	+	0.655929i	$0.772277\pi$
$90$	−2.40511	−	0.495428i	−0.253521	−	0.0522227i
$91$			3.42624i			0.359167i
$92$	1.53046	+	4.54507i	0.159562	+	0.473856i
$93$	2.26164	−	2.26164i	0.234521	−	0.234521i
$94$	−1.15700	−	1.80032i	−0.119335	−	0.185689i
$95$	−2.23264	−	0.295860i	−0.229064	−	0.0303546i
$96$	0.840965	−	1.84146i	0.0858306	−	0.187943i
$97$	−3.22609	+	5.90815i	−0.327560	+	0.599881i	−0.988617	−	0.150454i	$-0.951926\pi$
$97$	−3.22609	+	5.90815i	−0.327560	+	0.599881i	0.661057	+	0.750336i	$0.270108\pi$
$98$	−0.724531	−	0.270236i	−0.0731887	−	0.0272980i
$99$	3.74347	+	4.32019i	0.376233	+	0.434196i
$100$	−4.93217	+	0.820781i	−0.493217	+	0.0820781i
$101$	2.25101	+	0.660955i	0.223984	+	0.0657675i	0.391799	−	0.920051i	$-0.371853\pi$
$101$	2.25101	+	0.660955i	0.223984	+	0.0657675i	−0.167815	+	0.985818i	$0.553671\pi$
$102$	0.788096	+	11.0190i	0.0780331	+	1.09105i
$103$	4.15167	+	19.0849i	0.409077	+	1.88050i	0.470528	+	0.882385i	$0.344063\pi$
$103$	4.15167	+	19.0849i	0.409077	+	1.88050i	−0.0614513	+	0.998110i	$0.519573\pi$
$104$	−0.742330	+	1.15509i	−0.0727914	+	0.113266i
$105$	7.30227	−	8.61788i	0.712628	−	0.841019i
$106$	1.14340	−	3.89407i	0.111057	−	0.378225i
$107$	4.21172	+	3.15285i	0.407162	+	0.304798i	0.783157	−	0.621824i	$-0.213608\pi$
$107$	4.21172	+	3.15285i	0.407162	+	0.304798i	−0.375995	+	0.926622i	$0.622699\pi$
$108$	−3.84023	−	0.274658i	−0.369526	−	0.0264290i
$109$	5.07414	+	11.1108i	0.486014	+	1.06422i	0.980766	+	0.195189i	$0.0625319\pi$
$109$	5.07414	+	11.1108i	0.486014	+	1.06422i	−0.494751	+	0.869035i	$0.664741\pi$
$110$	10.2768	+	5.46501i	0.979856	+	0.521068i
$111$	13.9755	+	6.38238i	1.32649	+	0.605788i
$112$	1.49540	+	1.99762i	0.141302	+	0.188757i
$113$	−9.07670	−	1.97452i	−0.853864	−	0.185747i	−0.235729	−	0.971819i	$-0.575748\pi$
$113$	−9.07670	−	1.97452i	−0.853864	−	0.185747i	−0.618135	+	0.786072i	$0.712112\pi$
$114$	2.03896			0.190966
$115$	−5.33721	+	9.30130i	−0.497697	+	0.867351i
$116$	1.00537			0.0933461
$117$	−1.47341	−	0.320520i	−0.136216	−	0.0296321i
$118$	−3.87897	−	5.18170i	−0.357088	−	0.477014i
$119$	−12.3866	−	5.65675i	−1.13547	−	0.518553i
$120$	4.32897	−	1.32324i	0.395179	−	0.120794i
$121$	−6.68645	−	14.6413i	−0.607859	−	1.33103i
$122$	−8.82628	−	0.631268i	−0.799094	−	0.0571523i
$123$	−9.06641	−	6.78703i	−0.817491	−	0.611966i
$124$	−0.445123	+	1.51595i	−0.0399732	+	0.136136i
$125$	−8.68759	−	7.03746i	−0.777042	−	0.629449i
$126$	−1.48154	+	2.30532i	−0.131986	+	0.205374i
$127$	2.83499	+	13.0322i	0.251564	+	1.15642i	0.913493	+	0.406855i	$0.133375\pi$
$127$	2.83499	+	13.0322i	0.251564	+	1.15642i	−0.661928	+	0.749567i	$0.730262\pi$
$128$	0.0713392	+	0.997452i	0.00630555	+	0.0881631i
$129$	21.1442	+	6.20851i	1.86165	+	0.546629i
$130$	−3.03398	+	0.470499i	−0.266098	+	0.0412655i
$131$	1.51186	+	1.74478i	0.132092	+	0.152442i	0.817942	−	0.575301i	$-0.195115\pi$
$131$	1.51186	+	1.74478i	0.132092	+	0.152442i	−0.685850	+	0.727743i	$0.740570\pi$
$132$	−9.87332	−	3.68256i	−0.859362	−	0.320525i
$133$	−1.20449	+	2.20587i	−0.104443	+	0.191273i
$134$	6.53923	−	14.3189i	0.564903	−	1.23697i
$135$	−5.23499	−	6.83438i	−0.450556	−	0.588209i
$136$	−2.95029	−	4.59074i	−0.252985	−	0.393652i
$137$	12.1278	−	12.1278i	1.03615	−	1.03615i	0.0368249	−	0.999322i	$-0.488276\pi$
$137$	12.1278	−	12.1278i	1.03615	−	1.03615i	0.999322	−	0.0368249i	$-0.0117244\pi$
$138$	3.68388	−	8.98261i	0.313593	−	0.764650i
$139$			5.26770i			0.446801i	0.974727	+	0.223400i	$0.0717157\pi$
$139$			5.26770i			0.446801i	−0.974727	+	0.223400i	$0.928284\pi$
$140$	−1.12573	+	5.46501i	−0.0951419	+	0.461877i
$141$	−0.616552	+	4.28821i	−0.0519230	+	0.361133i
$142$	4.66457	−	1.73980i	0.391442	−	0.146000i
$143$	6.27300	+	3.42532i	0.524574	+	0.286439i
$144$	−0.998941	+	0.456201i	−0.0832451	+	0.0380168i
$145$	1.49086	+	1.68261i	0.123809	+	0.139733i
$146$	0.215101	+	1.49606i	0.0178019	+	0.123815i
$147$	0.750235	+	1.37395i	0.0618783	+	0.113322i
$148$	−7.57001	+	0.541418i	−0.622251	+	0.0445043i
$149$	2.32629	+	1.49501i	0.190577	+	0.122476i	0.632450	−	0.774601i	$-0.282049\pi$
$149$	2.32629	+	1.49501i	0.190577	+	0.122476i	−0.441873	+	0.897078i	$0.645686\pi$
$150$	8.63402	+	5.28283i	0.704965	+	0.431341i
$151$	9.10367	−	10.5062i	0.740846	−	0.854982i	−0.252802	−	0.967518i	$-0.581352\pi$
$151$	9.10367	−	10.5062i	0.740846	−	0.854982i	0.993648	+	0.112536i	$0.0358975\pi$
$152$	−0.883995	+	0.482698i	−0.0717014	+	0.0391520i
$153$	3.59135	−	4.79748i	0.290343	−	0.387853i
$154$	9.81654	−	8.50608i	0.791040	−	0.685440i
$155$	−3.19720	+	1.50303i	−0.256805	+	0.120726i
$156$	2.66702	−	0.783106i	0.213532	−	0.0626987i
$157$	2.83673	+	7.60557i	0.226396	+	0.606990i	0.999632	−	0.0271276i	$-0.00863605\pi$
$157$	2.83673	+	7.60557i	0.226396	+	0.606990i	−0.773236	+	0.634118i	$0.781363\pi$
$158$	9.15040	−	6.84990i	0.727966	−	0.544949i
$159$	−6.91169	+	4.44187i	−0.548132	+	0.352263i
$160$	−1.56357	+	1.59852i	−0.123611	+	0.126374i
$161$	7.54168	+	9.29179i	0.594368	+	0.732296i
$162$	7.84078	+	7.84078i	0.616030	+	0.616030i
$163$	−0.485212	+	2.23048i	−0.0380048	+	0.174705i	−0.992237	−	0.124362i	$-0.960312\pi$
$163$	−0.485212	+	2.23048i	−0.0380048	+	0.174705i	0.954232	+	0.299067i	$0.0966753\pi$
$164$	5.53749	+	0.796171i	0.432405	+	0.0621705i
$165$	−8.47793	−	21.9851i	−0.660006	−	1.71153i
$166$	−3.35768	−	11.4352i	−0.260607	−	0.887545i
$167$	6.55236	−	17.5675i	0.507037	−	1.35942i	−0.391362	−	0.920237i	$-0.627996\pi$
$167$	6.55236	−	17.5675i	0.507037	−	1.35942i	0.898399	−	0.439181i	$-0.144731\pi$
$168$	0.360374	−	5.03868i	0.0278034	−	0.388743i
$169$	11.0016	−	1.58179i	0.846276	−	0.121676i
$170$	3.30818	−	11.7453i	0.253726	−	0.900820i
$171$	−0.835923	−	0.724331i	−0.0639246	−	0.0553910i
$172$	−10.6369	+	2.31391i	−0.811055	+	0.176434i
$173$	17.5504	−	3.81786i	1.33433	−	0.290266i	0.511859	−	0.859069i	$-0.328957\pi$
$173$	17.5504	−	3.81786i	1.33433	−	0.290266i	0.822474	+	0.568803i	$0.192593\pi$
$174$	−1.53815	−	1.33281i	−0.116607	−	0.101040i
$175$	−10.8157	+	6.22000i	−0.817590	+	0.470188i
$176$	5.15238	−	0.740801i	0.388375	−	0.0558400i
$177$	−0.934786	+	13.0700i	−0.0702628	+	0.982403i
$178$	−4.98927	+	13.3768i	−0.373962	+	1.00263i
$179$	−5.54509	−	18.8848i	−0.414460	−	1.41152i	−0.857253	−	0.514896i	$-0.827831\pi$
$179$	−5.54509	−	18.8848i	−0.414460	−	1.41152i	0.442793	−	0.896624i	$-0.353988\pi$
$180$	−2.24484	−	0.995349i	−0.167320	−	0.0741890i
$181$	−6.08449	−	0.874817i	−0.452256	−	0.0650246i	−0.0875769	−	0.996158i	$-0.527912\pi$
$181$	−6.08449	−	0.874817i	−0.452256	−	0.0650246i	−0.364679	+	0.931133i	$0.618821\pi$
$182$	−0.728299	+	3.34794i	−0.0539851	+	0.248166i
$183$	12.6668	+	12.6668i	0.936355	+	0.936355i
$184$	0.529364	+	4.76653i	0.0390252	+	0.351393i
$185$	−12.1317	−	11.8665i	−0.891940	−	0.872440i
$186$	2.69070	−	1.72921i	0.197292	−	0.126792i
$187$	−22.7400	+	17.0229i	−1.66291	+	1.24484i
$188$	−0.747871	−	2.00512i	−0.0545441	−	0.146238i
$189$	−9.21798	+	2.70664i	−0.670510	+	0.196879i
$190$	−2.11873	−	0.763681i	−0.153709	−	0.0554032i
$191$	7.41859	−	6.42825i	0.536791	−	0.465132i	−0.343778	−	0.939051i	$-0.611707\pi$
$191$	7.41859	−	6.42825i	0.536791	−	0.465132i	0.880568	+	0.473919i	$0.157161\pi$
$192$	1.21318	−	1.62061i	0.0875534	−	0.116958i
$193$	−5.28825	+	2.88760i	−0.380656	+	0.207854i	−0.658173	−	0.752867i	$-0.728670\pi$
$193$	−5.28825	+	2.88760i	−0.380656	+	0.207854i	0.277517	+	0.960721i	$0.410489\pi$
$194$	−4.40823	+	5.08737i	−0.316493	+	0.365252i
$195$	5.26554	+	3.30231i	0.377073	+	0.236483i
$196$	−0.650530	−	0.418070i	−0.0464664	−	0.0298622i
$197$	−22.2671	+	1.59257i	−1.58646	+	0.113466i	−0.836482	−	0.547994i	$-0.815392\pi$
$197$	−22.2671	+	1.59257i	−1.58646	+	0.113466i	−0.749980	+	0.661460i	$0.769937\pi$
$198$	2.73960	+	5.01720i	0.194695	+	0.356557i
$199$	0.128281	+	0.892214i	0.00909360	+	0.0632474i	0.993863	−	0.110618i	$-0.0352832\pi$
$199$	0.128281	+	0.892214i	0.00909360	+	0.0632474i	−0.984769	+	0.173866i	$0.944374\pi$
$200$	−4.99393	−	0.246385i	−0.353124	−	0.0174221i
$201$	−28.9872	+	13.2380i	−2.04460	+	0.933736i
$202$	2.05907	+	1.12434i	0.144875	+	0.0791080i
$203$	2.35056	−	0.876712i	0.164977	−	0.0615332i
$204$	−1.57218	+	10.9347i	−0.110074	+	0.765584i
$205$	6.87905	+	10.4483i	0.480454	+	0.729741i
$206$			19.5313i			1.36081i
$207$	−4.70132	+	2.37396i	−0.326764	+	0.165002i
$208$	−0.970897	+	0.970897i	−0.0673196	+	0.0673196i
$209$	2.83448	+	4.41054i	0.196065	+	0.305084i
$210$	8.96725	−	6.86873i	0.618799	−	0.473987i
$211$	9.67387	−	21.1828i	0.665977	−	1.45829i	−0.210869	−	0.977514i	$-0.567629\pi$
$211$	9.67387	−	21.1828i	0.665977	−	1.45829i	0.876846	−	0.480771i	$-0.159643\pi$
$212$	1.94501	−	3.56203i	0.133584	−	0.244641i
$213$	−9.44295	−	3.52204i	−0.647020	−	0.241326i
$214$	3.44528	+	3.97607i	0.235515	+	0.271798i
$215$	−19.6460	−	14.3708i	−1.33985	−	0.980082i
$216$	−3.69408	−	1.08468i	−0.251350	−	0.0738031i
$217$	0.281255	+	3.93246i	0.0190928	+	0.266953i
$218$	2.59641	+	11.9355i	0.175851	+	0.808373i
$219$	1.65424	−	2.57404i	0.111783	−	0.173938i
$220$	8.88028	+	7.52461i	0.598709	+	0.507309i
$221$	2.11096	−	7.18928i	0.141999	−	0.483603i
$222$	12.2994	+	9.20722i	0.825482	+	0.617948i
$223$	24.6380	+	1.76215i	1.64988	+	0.118002i	0.865044	−	0.501697i	$-0.167291\pi$
$223$	24.6380	+	1.76215i	1.64988	+	0.118002i	0.784840	+	0.619699i	$0.212745\pi$
$224$	1.03660	+	2.26984i	0.0692608	+	0.151660i
$225$	−1.66303	−	5.23301i	−0.110869	−	0.348867i
$226$	−8.44956	−	3.85878i	−0.562056	−	0.256682i
$227$	1.85820	+	2.48226i	0.123333	+	0.164753i	0.857958	−	0.513720i	$-0.171733\pi$
$227$	1.85820	+	2.48226i	0.123333	+	0.164753i	−0.734625	+	0.678473i	$0.762642\pi$
$228$	1.99237	+	0.433413i	0.131948	+	0.0287035i
$229$	−29.3674			−1.94065			−0.970327	−	0.241798i	$-0.922263\pi$
$229$	−29.3674			−1.94065			−0.970327	+	0.241798i	$0.922263\pi$
$230$	−7.19237	+	7.95423i	−0.474251	+	0.524487i
$231$	−26.2952			−1.73010
$232$	0.982392	+	0.213706i	0.0644972	+	0.0140305i
$233$	12.3950	+	16.5577i	0.812022	+	1.08473i	0.994827	+	0.101585i	$0.0323913\pi$
$233$	12.3950	+	16.5577i	0.812022	+	1.08473i	−0.182805	+	0.983149i	$0.558518\pi$
$234$	−1.37160	−	0.626390i	−0.0896644	−	0.0409484i
$235$	2.24679	−	4.22504i	0.146565	−	0.275611i
$236$	−2.68888	−	5.88782i	−0.175031	−	0.383264i
$237$	−23.0804	−	1.65074i	−1.49923	−	0.107227i
$238$	−10.9011	−	8.16043i	−0.706610	−	0.528962i
$239$	−1.42626	+	4.85741i	−0.0922574	+	0.314200i	−0.992673	−	0.120831i	$-0.961444\pi$
$239$	−1.42626	+	4.85741i	−0.0922574	+	0.314200i	0.900416	+	0.435030i	$0.143262\pi$
$240$	4.51131	−	0.372808i	0.291204	−	0.0240647i
$241$	3.79309	−	5.90216i	0.244334	−	0.380192i	−0.697327	−	0.716753i	$-0.745628\pi$
$241$	3.79309	−	5.90216i	0.244334	−	0.380192i	0.941662	+	0.336561i	$0.109264\pi$
$242$	−3.42142	−	15.7280i	−0.219937	−	1.01103i
$243$	−0.777419	−	10.8697i	−0.0498714	−	0.697294i
$244$	−8.49038	−	2.49300i	−0.543541	−	0.159598i
$245$	−0.264979	−	1.70870i	−0.0169289	−	0.109165i
$246$	−7.41653	−	8.55913i	−0.472861	−	0.545710i
$247$	−1.29574	−	0.483287i	−0.0824461	−	0.0307508i
$248$	−0.757188	+	1.38669i	−0.0480815	+	0.0880547i
$249$	−10.0226	+	21.9464i	−0.635157	+	1.39080i
$250$	−6.99313	−	8.72331i	−0.442285	−	0.551710i
$251$	1.98731	+	3.09232i	0.125438	+	0.195185i	0.898293	−	0.439398i	$-0.144808\pi$
$251$	1.98731	+	3.09232i	0.125438	+	0.195185i	−0.772855	+	0.634583i	$0.781172\pi$
$252$	−1.93771	+	1.93771i	−0.122064	+	0.122064i
$253$	24.5517	−	4.51855i	1.54355	−	0.284079i
$254$			13.3370i			0.836838i
$255$	−20.6320	+	13.5839i	−1.29202	+	0.850655i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	16.2036	−	6.04363i	1.01075	−	0.376991i	0.211106	−	0.977463i	$-0.432293\pi$
$257$	16.2036	−	6.04363i	1.01075	−	0.376991i	0.799646	+	0.600472i	$0.205021\pi$
$258$	19.3413	+	10.5612i	1.20414	+	0.657509i
$259$	−17.2266	+	7.86713i	−1.07041	+	0.488840i
$260$	−3.06466	−	0.185172i	−0.190062	−	0.0114839i
$261$	0.157126	+	1.09284i	0.00972589	+	0.0676450i
$262$	1.10643	+	2.02627i	0.0683554	+	0.125184i
$263$	−19.4902	+	1.39397i	−1.20182	+	0.0859556i	−0.657848	−	0.753151i	$-0.728533\pi$
$263$	−19.4902	+	1.39397i	−1.20182	+	0.0859556i	−0.543968	+	0.839106i	$0.683079\pi$
$264$	−8.86490	−	5.69712i	−0.545597	−	0.350634i
$265$	8.84575	−	2.02691i	0.543390	−	0.124512i
$266$	−1.64586	+	1.89942i	−0.100914	+	0.116461i
$267$	25.3668	−	13.8513i	1.55242	−	0.847687i
$268$	9.43349	−	12.6017i	0.576242	−	0.769770i
$269$	−13.1182	+	11.3670i	−0.799829	+	0.693055i	−0.955577	−	0.294741i	$-0.904767\pi$
$269$	−13.1182	+	11.3670i	−0.799829	+	0.693055i	0.155749	+	0.987797i	$0.450221\pi$
$270$	−3.66261	−	7.79097i	−0.222899	−	0.474143i
$271$	−7.10671	+	2.08672i	−0.431702	+	0.126759i	−0.490362	−	0.871519i	$-0.663135\pi$
$271$	−7.10671	+	2.08672i	−0.431702	+	0.126759i	0.0586601	+	0.998278i	$0.481317\pi$
$272$	−1.90703	−	5.11295i	−0.115631	−	0.310018i
$273$	5.55261	−	4.15663i	0.336059	−	0.251571i
$274$	14.4286	−	9.27268i	0.871662	−	0.560183i
$275$	0.575219	+	26.0205i	0.0346870	+	1.56909i
$276$	5.50908	−	7.99426i	0.331608	−	0.481198i
$277$	0.630049	+	0.630049i	0.0378560	+	0.0378560i	0.725781	−	0.687925i	$-0.241478\pi$
$277$	0.630049	+	0.630049i	0.0378560	+	0.0378560i	−0.687925	+	0.725781i	$0.741478\pi$
$278$	−1.11973	+	5.14732i	−0.0671570	+	0.308716i
$279$	−1.71741	−	0.246926i	−0.102819	−	0.0147831i
$280$	−2.26168	+	5.10082i	−0.135161	+	0.304832i
$281$	5.73118	+	19.5186i	0.341893	+	1.16438i	0.933626	+	0.358248i	$0.116626\pi$
$281$	5.73118	+	19.5186i	0.341893	+	1.16438i	−0.591733	+	0.806134i	$0.701556\pi$
$282$	−1.51399	+	4.05916i	−0.0901566	+	0.241719i
$283$	0.107201	−	1.49886i	0.00637243	−	0.0890983i	−0.993271	−	0.115817i	$-0.963051\pi$
$283$	0.107201	−	1.49886i	0.00637243	−	0.0890983i	0.999643	+	0.0267189i	$0.00850589\pi$
$284$	4.92779	−	0.708510i	0.292411	−	0.0420423i
$285$	2.22911	+	3.97718i	0.132041	+	0.235588i
$286$	5.40154	+	4.68046i	0.319400	+	0.276761i
$287$	13.6410	−	2.96741i	0.805201	−	0.175161i
$288$	−1.07308	+	0.233435i	−0.0632321	+	0.0137553i
$289$	9.65776	+	8.36849i	0.568103	+	0.492264i
$290$	1.09913	+	1.96106i	0.0645428	+	0.115157i
$291$	13.4886	−	1.93937i	0.790718	−	0.113688i
$292$	−0.107825	+	1.50760i	−0.00631001	+	0.0882254i
$293$	7.34474	−	19.6920i	0.429084	−	1.15042i	−0.525058	−	0.851067i	$-0.675956\pi$
$293$	7.34474	−	19.6920i	0.429084	−	1.15042i	0.954142	−	0.299353i	$-0.0967709\pi$
$294$	0.441035	+	1.50203i	0.0257217	+	0.0876000i
$295$	5.86665	−	13.2312i	0.341569	−	0.770350i
$296$	−7.51210	−	1.08008i	−0.436632	−	0.0627782i
$297$	−4.25999	+	19.5828i	−0.247190	+	1.13631i
$298$	1.95533	+	1.95533i	0.113269	+	0.113269i
$299$	−4.47018	+	4.83519i	−0.258517	+	0.279626i
$300$	7.31376	+	6.99739i	0.422260	+	0.403995i
$301$	−22.8513	+	14.6856i	−1.31713	+	0.846466i
$302$	11.1289	−	8.33097i	0.640395	−	0.479393i
$303$	−1.65971	−	4.44986i	−0.0953481	−	0.255638i
$304$	−0.966397	+	0.283760i	−0.0554267	+	0.0162747i
$305$	−8.41804	−	17.9066i	−0.482016	−	1.02533i
$306$	4.52905	−	3.92445i	0.258909	−	0.224346i
$307$	6.54686	−	8.74557i	0.373649	−	0.499136i	−0.573821	−	0.818980i	$-0.694540\pi$
$307$	6.54686	−	8.74557i	0.373649	−	0.499136i	0.947470	+	0.319844i	$0.103631\pi$
$308$	11.4003	−	6.22504i	0.649593	−	0.354704i
$309$	25.8926	−	29.8816i	1.47298	−	1.69991i
$310$	−3.44362	+	0.789070i	−0.195585	+	0.0448161i
$311$	−6.25342	−	4.01883i	−0.354599	−	0.227887i	0.351198	−	0.936301i	$-0.385774\pi$
$311$	−6.25342	−	4.01883i	−0.354599	−	0.227887i	−0.705797	+	0.708414i	$0.749411\pi$
$312$	2.77253	−	0.198295i	0.156963	−	0.0112262i
$313$	−9.40504	−	17.2240i	−0.531604	−	0.973561i	−0.996121	−	0.0879961i	$-0.971954\pi$
$313$	−9.40504	−	17.2240i	−0.531604	−	0.973561i	0.464517	−	0.885564i	$-0.346228\pi$
$314$	1.15522	+	8.03475i	0.0651930	+	0.453427i
$315$	−6.11642	−	0.369565i	−0.344621	−	0.0208226i
$316$	10.3973	−	4.74830i	0.584896	−	0.267113i
$317$	−8.85328	−	4.83426i	−0.497250	−	0.271519i	0.210993	−	0.977487i	$-0.432330\pi$
$317$	−8.85328	−	4.83426i	−0.497250	−	0.271519i	−0.708243	+	0.705969i	$0.750512\pi$
$318$	−7.69792	+	2.87118i	−0.431678	+	0.161008i
$319$	0.744778	−	5.18004i	0.0416995	−	0.290027i
$320$	−1.86763	+	1.22962i	−0.104403	+	0.0687381i
$321$		−	10.6505i		−	0.594455i
$322$	5.39422	+	10.6825i	0.300608	+	0.595315i
$323$	3.88646	−	3.88646i	0.216249	−	0.216249i
$324$	5.99492	+	9.32828i	0.333051	+	0.518238i
$325$	−4.23467	−	5.40367i	−0.234897	−	0.299742i
$326$	−0.948247	+	2.07637i	−0.0525186	+	0.115000i
$327$	11.8505	−	21.7026i	0.655335	−	1.20016i
$328$	5.24170	+	1.95505i	0.289425	+	0.107950i
$329$	−3.49705	−	4.03582i	−0.192799	−	0.222502i
$330$	−3.61092	−	23.2847i	−0.198775	−	1.28178i
$331$	−6.83674	−	2.00745i	−0.375781	−	0.110339i	0.0883874	−	0.996086i	$-0.471829\pi$
$331$	−6.83674	−	2.00745i	−0.375781	−	0.110339i	−0.464169	+	0.885747i	$0.653647\pi$
$332$	−0.850219	−	11.8876i	−0.0466618	−	0.652418i
$333$	−1.77162	−	8.14402i	−0.0970843	−	0.446289i
$334$	10.1369	−	15.7733i	0.554665	−	0.863075i
$335$	35.0794	−	2.89891i	1.91659	−	0.158384i
$336$	1.42319	−	4.84693i	0.0776412	−	0.264422i
$337$	20.4317	+	15.2950i	1.11299	+	0.833172i	0.987295	−	0.158897i	$-0.0507939\pi$
$337$	20.4317	+	15.2950i	1.11299	+	0.833172i	0.125692	+	0.992069i	$0.459885\pi$
$338$	11.0864	+	0.792915i	0.603021	+	0.0431289i
$339$	7.81171	+	17.1053i	0.424274	+	0.929030i
$340$	5.72921	−	10.7736i	0.310710	−	0.584283i
$341$	7.48100	+	3.41646i	0.405119	+	0.185012i
$342$	−0.662851	−	0.885466i	−0.0358429	−	0.0478805i
$343$	−18.9537	−	4.12312i	−1.02340	−	0.222628i
$344$	−10.8857			−0.586915
$345$	21.5488	−	2.63457i	1.16015	−	0.141840i
$346$	17.9609			0.965583
$347$	3.04084	+	0.661494i	0.163241	+	0.0355108i	0.293443	−	0.955977i	$-0.405199\pi$
$347$	3.04084	+	0.661494i	0.163241	+	0.0355108i	−0.130202	+	0.991487i	$0.541563\pi$
$348$	−1.21969	−	1.62931i	−0.0653821	−	0.0873403i
$349$	15.9010	+	7.26173i	0.851159	+	0.388711i	0.792725	−	0.609580i	$-0.208662\pi$
$349$	15.9010	+	7.26173i	0.851159	+	0.388711i	0.0584344	+	0.998291i	$0.481389\pi$
$350$	−11.8907	+	3.77881i	−0.635584	+	0.201986i
$351$	−2.19601	−	4.80860i	−0.117215	−	0.256664i
$352$	5.19210	+	0.371347i	0.276740	+	0.0197928i
$353$	−1.35122	−	1.01151i	−0.0719182	−	0.0538373i	0.562714	−	0.826652i	$-0.309757\pi$
$353$	−1.35122	−	1.01151i	−0.0719182	−	0.0538373i	−0.634632	+	0.772815i	$0.718848\pi$
$354$	−3.69166	+	12.5726i	−0.196209	+	0.668227i
$355$	8.49320	+	7.19661i	0.450772	+	0.381957i
$356$	−7.71869	+	12.0105i	−0.409090	+	0.636556i
$357$	5.85966	+	26.9364i	0.310126	+	1.42563i
$358$	−1.40411	−	19.6320i	−0.0742093	−	1.03758i
$359$	−25.8345	−	7.58569i	−1.36349	−	0.400358i	−0.483500	−	0.875344i	$-0.660635\pi$
$359$	−25.8345	−	7.58569i	−1.36349	−	0.400358i	−0.879993	+	0.474987i	$0.842453\pi$
$360$	−1.98196	−	1.44978i	−0.104458	−	0.0764099i
$361$	11.7780	+	13.5926i	0.619897	+	0.715399i
$362$	−5.75948	−	2.14818i	−0.302712	−	0.112906i
$363$	−15.6160	+	28.5986i	−0.819628	+	1.50104i
$364$	−1.42331	+	3.11662i	−0.0746018	+	0.163355i
$365$	−2.68304	+	2.05516i	−0.140437	+	0.107572i
$366$	9.68478	+	15.0698i	0.506232	+	0.787712i
$367$	1.69302	−	1.69302i	0.0883751	−	0.0883751i	−0.661537	−	0.749912i	$-0.730096\pi$
$367$	1.69302	−	1.69302i	0.0883751	−	0.0883751i	0.749912	+	0.661537i	$0.230096\pi$
$368$	−0.495932	+	4.77012i	−0.0258522	+	0.248660i
$369$			6.14370i			0.319828i
$370$	−9.33205	−	14.1741i	−0.485150	−	0.736875i
$371$	1.44126	−	10.0242i	0.0748263	−	0.520428i
$372$	2.99678	−	1.11774i	0.155376	−	0.0579521i
$373$	10.5239	+	5.74650i	0.544908	+	0.297542i	0.728027	−	0.685548i	$-0.240437\pi$
$373$	10.5239	+	5.74650i	0.544908	+	0.297542i	−0.183119	+	0.983091i	$0.558619\pi$
$374$	−25.8388	+	11.8002i	−1.33609	+	0.610173i
$375$	−0.865419	+	22.6169i	−0.0446900	+	1.16793i
$376$	−0.304561	−	2.11827i	−0.0157065	−	0.109241i
$377$	0.661568	+	1.21157i	0.0340725	+	0.0623991i
$378$	−9.58266	+	0.685365i	−0.492879	+	0.0352514i
$379$	−3.52158	−	2.26318i	−0.180892	−	0.116252i	0.447061	−	0.894503i	$-0.352471\pi$
$379$	−3.52158	−	2.26318i	−0.180892	−	0.116252i	−0.627953	+	0.778251i	$0.716107\pi$
$380$	−1.90798	−	1.19660i	−0.0978771	−	0.0613841i
$381$	17.6808	−	20.4048i	0.905817	−	1.04537i
$382$	8.61548	−	4.70441i	0.440806	−	0.240698i
$383$	9.82247	−	13.1213i	0.501905	−	0.670466i	−0.476018	−	0.879436i	$-0.657920\pi$
$383$	9.82247	−	13.1213i	0.501905	−	0.670466i	0.977922	+	0.208970i	$0.0670110\pi$
$384$	1.52994	−	1.32570i	0.0780743	−	0.0676517i
$385$	27.3239	+	9.84870i	1.39255	+	0.501936i
$386$	−5.78120	+	1.69751i	−0.294255	+	0.0864011i
$387$	−4.17764	−	11.2007i	−0.212362	−	0.569363i
$388$	−5.38889	+	4.03407i	−0.273579	+	0.204799i
$389$	9.25805	−	5.94979i	0.469402	−	0.301666i	−0.284473	−	0.958684i	$-0.591819\pi$
$389$	9.25805	−	5.94979i	0.469402	−	0.301666i	0.753875	+	0.657018i	$0.228182\pi$
$390$	4.44325	+	4.34611i	0.224993	+	0.220074i
$391$	−10.0999	−	24.1435i	−0.510773	−	1.22099i
$392$	−0.546796	−	0.546796i	−0.0276174	−	0.0276174i
$393$	0.993460	−	4.56686i	0.0501134	−	0.230368i
$394$	−22.0967	−	3.17703i	−1.11322	−	0.160056i
$395$	23.3651	+	10.3599i	1.17562	+	0.521266i
$396$	1.61051	+	5.48488i	0.0809310	+	0.275626i
$397$	−2.17028	+	5.81875i	−0.108923	+	0.292035i	−0.979964	−	0.199177i	$-0.936173\pi$
$397$	−2.17028	+	5.81875i	−0.108923	+	0.292035i	0.871040	+	0.491212i	$0.163446\pi$
$398$	−0.0643044	+	0.899093i	−0.00322329	+	0.0450674i
$399$	5.03612	−	0.724084i	0.252121	−	0.0362496i
$400$	−4.82743	−	1.30229i	−0.241371	−	0.0651145i
$401$	15.6031	+	13.5202i	0.779184	+	0.675167i	0.950734	−	0.310009i	$-0.100332\pi$
$401$	15.6031	+	13.5202i	0.779184	+	0.675167i	−0.171550	+	0.985175i	$0.554877\pi$
$402$	−31.1387	+	6.77380i	−1.55306	+	0.337846i
$403$	−2.11978	+	0.461130i	−0.105594	+	0.0229705i
$404$	1.77302	+	1.53633i	0.0882109	+	0.0764352i
$405$	−6.72215	+	23.8661i	−0.334026	+	1.18592i
$406$	2.48320	−	0.357030i	0.123239	−	0.0177191i
$407$	−2.81828	+	39.4047i	−0.139697	+	1.95322i
$408$	−3.86059	+	10.3506i	−0.191128	+	0.512433i
$409$	−2.07306	−	7.06020i	−0.102506	−	0.349104i	0.892229	−	0.451584i	$-0.149141\pi$
$409$	−2.07306	−	7.06020i	−0.102506	−	0.349104i	−0.994735	+	0.102479i	$0.967323\pi$
$410$	4.50090	+	11.6718i	0.222283	+	0.576428i
$411$	−34.3676	−	4.94131i	−1.69523	−	0.243737i
$412$	−4.15167	+	19.0849i	−0.204538	+	0.940248i
$413$	−11.4210	−	11.4210i	−0.561989	−	0.561989i
$414$	−5.09850	+	1.32037i	−0.250578	+	0.0648926i
$415$	18.6346	−	19.0511i	0.914736	−	0.935181i
$416$	−1.15509	+	0.742330i	−0.0566329	+	0.0363957i
$417$	8.53691	−	6.39065i	0.418054	−	0.312951i
$418$	1.83218	+	4.91226i	0.0896148	+	0.240267i
$419$	−8.86926	+	2.60425i	−0.433292	+	0.127226i	−0.491103	−	0.871102i	$-0.663406\pi$
$419$	−8.86926	+	2.60425i	−0.433292	+	0.127226i	0.0578111	+	0.998328i	$0.481588\pi$
$420$	10.2224	−	4.80563i	0.498801	−	0.234491i
$421$	−26.5051	+	22.9668i	−1.29178	+	1.11933i	−0.305866	+	0.952074i	$0.598946\pi$
$421$	−26.5051	+	22.9668i	−1.29178	+	1.11933i	−0.985913	+	0.167259i	$0.946508\pi$
$422$	13.9555	−	18.6424i	0.679344	−	0.907498i
$423$	2.06269	−	1.12631i	0.100291	−	0.0547632i
$424$	2.65773	−	3.06718i	0.129071	−	0.148956i
$425$	26.5268	−	6.38769i	1.28674	−	0.309849i
$426$	−8.47848	−	5.44879i	−0.410784	−	0.263995i
$427$	−22.0245	+	1.57523i	−1.06584	+	0.0762306i
$428$	2.52137	+	4.61755i	0.121875	+	0.223198i
$429$	−2.05914	−	14.3216i	−0.0994161	−	0.691454i
$430$	−16.1423	−	18.2185i	−0.778452	−	0.878573i
$431$	−32.9215	+	15.0347i	−1.58577	+	0.724198i	−0.996489	−	0.0837279i	$-0.973317\pi$
$431$	−32.9215	+	15.0347i	−1.58577	+	0.724198i	−0.589284	+	0.807926i	$0.700590\pi$
$432$	−3.37909	−	1.84513i	−0.162577	−	0.0887736i
$433$	11.3679	−	4.24002i	0.546307	−	0.203762i	−0.0611298	−	0.998130i	$-0.519470\pi$
$433$	11.3679	−	4.24002i	0.546307	−	0.203762i	0.607437	+	0.794368i	$0.292198\pi$
$434$	−0.561077	+	3.90237i	−0.0269325	+	0.187320i
$435$	0.918179	−	4.45740i	0.0440233	−	0.213716i
$436$			12.2146i			0.584975i
$437$	−4.57778	+	1.54148i	−0.218985	+	0.0737389i
$438$	2.16358	−	2.16358i	0.103380	−	0.103380i
$439$	−1.01805	−	1.58411i	−0.0485888	−	0.0756056i	0.816109	−	0.577897i	$-0.196127\pi$
$439$	−1.01805	−	1.58411i	−0.0485888	−	0.0756056i	−0.864698	+	0.502292i	$0.832490\pi$
$440$	7.07787	+	9.24029i	0.337424	+	0.440513i
$441$	0.352774	−	0.772468i	0.0167988	−	0.0367842i
$442$	3.59091	−	6.57626i	0.170802	−	0.312801i
$443$	26.2183	+	9.77891i	1.24567	+	0.464610i	0.883908	−	0.467661i	$-0.154903\pi$
$443$	26.2183	+	9.77891i	1.24567	+	0.464610i	0.361760	+	0.932271i	$0.382176\pi$
$444$	10.0612	+	11.6112i	0.477483	+	0.551045i
$445$	−31.5471	+	4.89221i	−1.49548	+	0.231913i
$446$	23.7004	+	6.95906i	1.12225	+	0.329521i
$447$	−0.399356	−	5.58372i	−0.0188889	−	0.264101i
$448$	0.530422	+	2.43831i	0.0250601	+	0.115199i
$449$	20.8850	−	32.4978i	0.985626	−	1.53366i	0.146871	−	0.989156i	$-0.453080\pi$
$449$	20.8850	−	32.4978i	0.985626	−	1.53366i	0.838755	−	0.544509i	$-0.183284\pi$
$450$	−0.512667	−	5.46692i	−0.0241673	−	0.257713i
$451$	8.20436	−	27.9415i	0.386328	−	1.31571i
$452$	−7.43622	−	5.56668i	−0.349770	−	0.261835i
$453$	−28.0708	−	2.00766i	−1.31888	−	0.0943283i
$454$	1.28809	+	2.82052i	0.0604530	+	0.132374i
$455$	−7.32666	+	2.23954i	−0.343479	+	0.104991i
$456$	1.85471	+	0.847016i	0.0868546	+	0.0396652i
$457$	−16.3558	−	21.8488i	−0.765092	−	1.02204i	−0.998763	−	0.0497276i	$-0.984165\pi$
$457$	−16.3558	−	21.8488i	−0.765092	−	1.02204i	0.233671	−	0.972316i	$-0.424926\pi$
$458$	−28.6963	−	6.24249i	−1.34089	−	0.291692i
$459$	21.0097			0.980649
$460$	−8.71879	+	6.24361i	−0.406516	+	0.291110i
$461$	35.2338			1.64100			0.820501	−	0.571645i	$-0.193695\pi$
$461$	35.2338			1.64100			0.820501	+	0.571645i	$0.193695\pi$
$462$	−25.6943	−	5.58944i	−1.19541	−	0.260044i
$463$	−2.85711	−	3.81665i	−0.132781	−	0.177375i	0.729223	−	0.684276i	$-0.239882\pi$
$463$	−2.85711	−	3.81665i	−0.132781	−	0.177375i	−0.862004	+	0.506901i	$0.830791\pi$
$464$	0.914515	+	0.417645i	0.0424553	+	0.0193887i
$465$	6.31459	+	3.35798i	0.292832	+	0.155722i
$466$	8.59211	+	18.8141i	0.398022	+	0.871546i
$467$	−11.6625	−	0.834120i	−0.539677	−	0.0385985i	−0.201160	−	0.979558i	$-0.564471\pi$
$467$	−11.6625	−	0.834120i	−0.539677	−	0.0385985i	−0.338518	+	0.940960i	$0.609926\pi$
$468$	−1.20711	−	0.903630i	−0.0557986	−	0.0417703i
$469$	11.0665	−	37.6891i	0.511004	−	1.74032i
$470$	3.09355	−	3.65090i	0.142695	−	0.168403i
$471$	8.88423	−	13.8241i	0.409364	−	0.636982i
$472$	−1.37588	−	6.32482i	−0.0633301	−	0.291124i
$473$	4.04235	+	56.5194i	0.185867	+	2.59877i
$474$	−22.2021	−	6.51912i	−1.01978	−	0.299433i
$475$	−0.826687	−	4.96766i	−0.0379310	−	0.227932i
$476$	−8.91731	−	10.2911i	−0.408724	−	0.471693i
$477$	4.17592	+	1.55754i	0.191202	+	0.0713147i
$478$	−2.42619	+	4.44323i	−0.110971	+	0.203229i
$479$	−10.1479	+	22.2208i	−0.463670	+	1.01530i	0.522966	+	0.852354i	$0.324826\pi$
$479$	−10.1479	+	22.2208i	−0.463670	+	1.01530i	−0.986636	+	0.162942i	$0.947902\pi$
$480$	4.48746	+	0.594660i	0.204824	+	0.0271424i
$481$	−5.63380	−	8.76637i	−0.256879	−	0.399712i
$482$	4.96100	−	4.96100i	0.225967	−	0.225967i
$483$	5.90902	−	23.4947i	0.268870	−	1.06905i
$484$		−	16.0958i		−	0.731629i
$485$	−14.7427	−	3.03684i	−0.669431	−	0.137896i
$486$	1.55088	−	10.7866i	0.0703492	−	0.489289i
$487$	15.4191	−	5.75103i	0.698707	−	0.260604i	0.0250903	−	0.999685i	$-0.492013\pi$
$487$	15.4191	−	5.75103i	0.698707	−	0.260604i	0.673617	+	0.739081i	$0.264740\pi$
$488$	−7.76643	−	4.24079i	−0.351570	−	0.191972i
$489$	4.20340	−	1.91963i	0.190084	−	0.0868086i
$490$	0.104286	−	1.72597i	0.00471118	−	0.0779716i
$491$	4.09839	+	28.5049i	0.184958	+	1.28641i	0.844831	+	0.535033i	$0.179701\pi$
$491$	4.09839	+	28.5049i	0.184958	+	1.28641i	−0.659873	+	0.751377i	$0.729390\pi$
$492$	−5.42766	−	9.94002i	−0.244698	−	0.448131i
$493$	−5.47233	+	0.391389i	−0.246461	+	0.0176273i
$494$	−1.16340	−	0.747672i	−0.0523438	−	0.0336393i
$495$	−6.79140	+	10.8289i	−0.305251	+	0.486723i
$496$	−1.03465	+	1.19404i	−0.0464569	+	0.0536142i
$497$	10.9034	−	5.95369i	0.489083	−	0.267060i
$498$	−14.4586	+	19.3144i	−0.647906	+	0.865501i
$499$	12.6018	−	10.9195i	0.564135	−	0.488826i	−0.325472	−	0.945552i	$-0.605523\pi$
$499$	12.6018	−	10.9195i	0.564135	−	0.488826i	0.889608	+	0.456726i	$0.150978\pi$
$500$	−4.97905	−	10.0105i	−0.222670	−	0.447681i
$501$	−36.4194	+	10.6937i	−1.62710	+	0.477759i
$502$	1.28458	+	3.44408i	0.0573335	+	0.153717i
$503$	−19.1790	+	14.3572i	−0.855148	+	0.640156i	−0.934214	−	0.356714i	$-0.883897\pi$
$503$	−19.1790	+	14.3572i	−0.855148	+	0.640156i	0.0790658	+	0.996869i	$0.474806\pi$
$504$	−2.30532	+	1.48154i	−0.102687	+	0.0659929i
$505$	0.0579734	+	5.24558i	0.00257978	+	0.233425i
$506$	24.9511	+	0.803560i	1.10921	+	0.0357226i
$507$	−15.9103	−	15.9103i	−0.706602	−	0.706602i
$508$	−2.83499	+	13.0322i	−0.125782	+	0.578211i
$509$	27.7578	+	3.99096i	1.23034	+	0.176896i	0.726663	−	0.686995i	$-0.241070\pi$
$509$	27.7578	+	3.99096i	1.23034	+	0.176896i	0.503679	+	0.863891i	$0.331979\pi$
$510$	−23.0479	+	8.88779i	−1.02058	+	0.393558i
$511$	1.06258	+	3.61880i	0.0470056	+	0.160086i
$512$	−0.349464	+	0.936950i	−0.0154443	+	0.0414077i
$513$	0.276635	−	3.86786i	0.0122137	−	0.170770i
$514$	17.1180	−	2.46119i	0.755040	−	0.108558i
$515$	−38.0975	+	21.3527i	−1.67878	+	0.940913i
$516$	16.6544	+	14.4311i	0.733167	+	0.635293i
$517$	−10.8852	+	2.36792i	−0.478729	+	0.104141i
$518$	−18.5052	+	4.02556i	−0.813072	+	0.176873i
$519$	−27.4790	−	23.8107i	−1.20619	−	1.04517i
$520$	−2.95526	−	0.832380i	−0.129597	−	0.0365023i
$521$	−35.7384	+	5.13840i	−1.56573	+	0.225117i	−0.869949	−	0.493141i	$-0.835849\pi$
$521$	−35.7384	+	5.13840i	−1.56573	+	0.225117i	−0.695776	+	0.718258i	$0.744940\pi$
$522$	−0.0787639	+	1.10126i	−0.00344740	+	0.0482010i
$523$	9.47511	−	25.4038i	0.414318	−	1.11083i	−0.547420	−	0.836858i	$-0.684390\pi$
$523$	9.47511	−	25.4038i	0.414318	−	1.11083i	0.961738	−	0.273971i	$-0.0883373\pi$
$524$	0.650428	+	2.21516i	0.0284141	+	0.0967695i
$525$	23.2016	+	9.98212i	1.01260	+	0.435655i
$526$	−19.3411	−	2.78083i	−0.843311	−	0.121250i
$527$	1.83270	−	8.42477i	0.0798335	−	0.366989i
$528$	−7.45130	−	7.45130i	−0.324276	−	0.324276i
$529$	−1.47991	+	22.9523i	−0.0643440	+	0.997928i
$530$	9.07445	−	0.100289i	0.394169	−	0.00435630i
$531$	5.97984	−	3.84301i	0.259503	−	0.166772i
$532$	−2.01200	+	1.50616i	−0.0872311	+	0.0653004i
$533$	2.68440	+	7.19715i	0.116274	+	0.311743i
$534$	27.7314	−	8.14268i	1.20006	−	0.352368i
$535$	−3.98909	+	11.0672i	−0.172463	+	0.478476i
$536$	11.8966	−	10.3085i	0.513854	−	0.445257i
$537$	−23.8779	+	31.8971i	−1.03041	+	1.37646i
$538$	−15.2346	+	8.31872i	−0.656810	+	0.358645i
$539$	−2.63597	+	3.04207i	−0.113539	+	0.131031i
$540$	−1.92281	−	8.39146i	−0.0827448	−	0.361111i
$541$	13.6187	+	8.75223i	0.585515	+	0.376288i	0.799605	−	0.600526i	$-0.205042\pi$
$541$	13.6187	+	8.75223i	0.585515	+	0.376288i	−0.214090	+	0.976814i	$0.568679\pi$
$542$	−7.38786	+	0.528390i	−0.317336	+	0.0226963i
$543$	5.96381	+	10.9219i	0.255932	+	0.468704i
$544$	−0.776615	−	5.40147i	−0.0332971	−	0.231586i
$545$	−20.4427	+	18.1131i	−0.875668	+	0.775878i
$546$	6.30927	−	2.88135i	0.270012	−	0.123310i
$547$	−6.10085	−	3.33131i	−0.260853	−	0.142437i	0.343501	−	0.939152i	$-0.388387\pi$
$547$	−6.10085	−	3.33131i	−0.260853	−	0.142437i	−0.604354	+	0.796716i	$0.706569\pi$
$548$	16.0699	−	5.99376i	0.686472	−	0.256041i
$549$	1.38296	−	9.61870i	0.0590233	−	0.410516i
$550$	−4.96898	+	25.5481i	−0.211878	+	1.08937i
$551$			1.01260i			0.0431383i
$552$	7.08248	−	6.64053i	0.301450	−	0.282640i
$553$	20.1684	−	20.1684i	0.857646	−	0.857646i
$554$	0.481724	+	0.749577i	0.0204665	+	0.0318465i
$555$	−4.51308	+	34.0569i	−0.191570	+	1.44563i
$556$	−2.18828	+	4.79167i	−0.0928039	+	0.203212i
$557$	−2.60630	+	4.77307i	−0.110432	+	0.202242i	−0.927050	−	0.374937i	$-0.877664\pi$
$557$	−2.60630	+	4.77307i	−0.110432	+	0.202242i	0.816618	+	0.577178i	$0.195846\pi$
$558$	−1.62567	−	0.606344i	−0.0688202	−	0.0256686i
$559$	−9.78795	−	11.2959i	−0.413986	−	0.477765i
$560$	−3.29425	+	4.50350i	−0.139207	+	0.190307i
$561$	55.1752	+	16.2009i	2.32950	+	0.684003i
$562$	1.45123	+	20.2908i	0.0612163	+	0.855915i
$563$	−5.84484	−	26.8683i	−0.246330	−	1.13236i	−0.919566	−	0.392935i	$-0.871460\pi$
$563$	−5.84484	−	26.8683i	−0.246330	−	1.13236i	0.673236	−	0.739428i	$-0.264904\pi$
$564$	−2.34222	+	3.64457i	−0.0986254	+	0.153464i
$565$	−1.71064	−	20.7002i	−0.0719671	−	0.870866i
$566$	0.423358	−	1.44182i	0.0177950	−	0.0606044i
$567$	22.1507	+	16.5818i	0.930242	+	0.696371i
$568$	4.96578	+	0.355160i	0.208360	+	0.0149022i
$569$	9.62402	+	21.0737i	0.403460	+	0.883454i	0.996908	+	0.0785812i	$0.0250390\pi$
$569$	9.62402	+	21.0737i	0.403460	+	0.883454i	−0.593448	+	0.804872i	$0.702234\pi$
$570$	1.33276	+	4.36012i	0.0558231	+	0.182625i
$571$	−16.2179	−	7.40648i	−0.678700	−	0.309952i	0.0460748	−	0.998938i	$-0.485329\pi$
$571$	−16.2179	−	7.40648i	−0.678700	−	0.309952i	−0.724774	+	0.688986i	$0.758056\pi$
$572$	4.28319	+	5.72167i	0.179089	+	0.239235i
$573$	−19.4178	−	4.22408i	−0.811189	−	0.176463i
$574$	13.9600			0.582679
$575$	−23.3785	−	5.33333i	−0.974952	−	0.222415i
$576$	−1.09818			−0.0457576
$577$	25.4499	+	5.53628i	1.05949	+	0.230478i	0.708363	−	0.705849i	$-0.249434\pi$
$577$	25.4499	+	5.53628i	1.05949	+	0.230478i	0.351129	+	0.936327i	$0.385798\pi$
$578$	7.65820	+	10.2302i	0.318539	+	0.425518i
$579$	11.0953	+	5.06703i	0.461103	+	0.210579i
$580$	0.657154	+	2.14988i	0.0272868	+	0.0892688i
$581$	−12.3542	−	27.0519i	−0.512538	−	1.12230i
$582$	13.5926	+	0.972163i	0.563432	+	0.0402975i
$583$	−16.9121	−	12.6602i	−0.700426	−	0.524332i
$584$	−0.425824	+	1.45022i	−0.0176207	+	0.0600107i
$585$	−0.277685	−	3.36023i	−0.0114809	−	0.138929i
$586$	11.3627	−	17.6808i	0.469390	−	0.730385i
$587$	5.04250	+	23.1800i	0.208126	+	0.956742i	0.956106	+	0.293020i	$0.0946603\pi$
$587$	5.04250	+	23.1800i	0.208126	+	0.956742i	−0.747980	+	0.663721i	$0.768976\pi$
$588$	0.111677	+	1.56145i	0.00460549	+	0.0643931i
$589$	−1.52686	−	0.448326i	−0.0629130	−	0.0184729i
$590$	8.54507	−	11.6818i	0.351795	−	0.480931i
$591$	29.5948	+	34.1542i	1.21737	+	1.40492i
$592$	−7.11084	−	2.65221i	−0.292254	−	0.109005i
$593$	−5.38502	+	9.86194i	−0.221136	+	0.404981i	−0.964569	−	0.263829i	$-0.915014\pi$
$593$	−5.38502	+	9.86194i	−0.221136	+	0.404981i	0.743433	+	0.668810i	$0.233196\pi$
$594$	−8.32527	+	18.2298i	−0.341590	+	0.747977i
$595$	3.99998	−	30.1849i	0.163983	−	1.23746i
$596$	1.49501	+	2.32629i	0.0612381	+	0.0952884i
$597$	1.29031	−	1.29031i	0.0528087	−	0.0528087i
$598$	−5.39581	+	3.77448i	−0.220651	+	0.154350i
$599$			15.7648i			0.644132i	0.946717	+	0.322066i	$0.104377\pi$
$599$			15.7648i			0.644132i	−0.946717	+	0.322066i	$0.895623\pi$
$600$	5.65921	+	8.39213i	0.231036	+	0.342607i
$601$	2.33259	−	16.2235i	0.0951484	−	0.661772i	−0.885304	−	0.465013i	$-0.846049\pi$
$601$	2.33259	−	16.2235i	0.0951484	−	0.661772i	0.980452	−	0.196758i	$-0.0630414\pi$
$602$	−25.4507	+	9.49263i	−1.03729	+	0.386891i
$603$	15.1724	+	8.28476i	0.617868	+	0.337381i
$604$	12.6454	−	5.77497i	0.514535	−	0.234980i
$605$	26.9383	−	23.8685i	1.09520	−	0.970393i
$606$	−0.675897	−	4.70097i	−0.0274565	−	0.190964i
$607$	−12.0636	−	22.0928i	−0.489645	−	0.896717i	−0.999339	−	0.0363615i	$-0.988423\pi$
$607$	−12.0636	−	22.0928i	−0.489645	−	0.896717i	0.509694	−	0.860356i	$-0.329759\pi$
$608$	−1.00463	+	0.0718525i	−0.0407431	+	0.00291401i
$609$	−4.27245	−	2.74574i	−0.173128	−	0.111263i
$610$	−4.41935	−	19.2867i	−0.178934	−	0.780897i
$611$	1.92425	−	2.22070i	0.0778468	−	0.0898399i
$612$	5.25975	−	2.87204i	0.212613	−	0.116095i
$613$	−16.5798	+	22.1480i	−0.669652	+	0.894550i	−0.998762	−	0.0497415i	$-0.984160\pi$
$613$	−16.5798	+	22.1480i	−0.669652	+	0.894550i	0.329110	+	0.944291i	$0.393251\pi$
$614$	8.25624	−	7.15408i	0.333195	−	0.288715i
$615$	8.58716	−	23.8239i	0.346268	−	0.960673i
$616$	12.4630	−	3.65947i	0.502148	−	0.147444i
$617$	−15.0866	−	40.4488i	−0.607364	−	1.62841i	−0.767307	−	0.641280i	$-0.778404\pi$
$617$	−15.0866	−	40.4488i	−0.607364	−	1.62841i	0.159943	−	0.987126i	$-0.448869\pi$
$618$	31.6527	−	23.6949i	1.27326	−	0.953148i
$619$	33.0086	−	21.2133i	1.32673	−	0.852636i	0.330880	−	0.943673i	$-0.392654\pi$
$619$	33.0086	−	21.2133i	1.32673	−	0.852636i	0.995848	+	0.0910364i	$0.0290180\pi$
$620$	−3.53265	+	0.0390424i	−0.141875	+	0.00156798i
$621$	−16.5400	−	8.20692i	−0.663725	−	0.329333i
$622$	−5.25624	−	5.25624i	−0.210756	−	0.210756i
$623$	−7.57280	+	34.8116i	−0.303398	+	1.39470i
$624$	2.75132	+	0.395580i	0.110141	+	0.0158359i
$625$	9.37029	−	23.1775i	0.374811	−	0.927101i
$626$	−5.52887	−	18.8296i	−0.220978	−	0.752582i
$627$	3.70906	−	9.94437i	0.148125	−	0.397140i
$628$	−0.579087	+	8.09669i	−0.0231081	+	0.323093i
$629$	40.9937	−	5.89400i	1.63453	−	0.235009i
$630$	−5.89808	−	1.66126i	−0.234985	−	0.0661861i
$631$	−9.58258	−	8.30335i	−0.381476	−	0.330551i	0.442923	−	0.896560i	$-0.353941\pi$
$631$	−9.58258	−	8.30335i	−0.381476	−	0.330551i	−0.824399	+	0.566008i	$0.808487\pi$
$632$	11.1690	−	2.42968i	0.444281	−	0.0966474i
$633$	−46.0653	+	10.0209i	−1.83093	+	0.398294i
$634$	−7.62336	−	6.60568i	−0.302762	−	0.262345i
$635$	−26.0150	+	14.5808i	−1.03237	+	0.578620i
$636$	−8.13231	+	1.16925i	−0.322467	+	0.0463638i
$637$	0.0757455	−	1.05906i	0.00300115	−	0.0419615i
$638$	1.82885	−	4.90335i	0.0724050	−	0.194125i
$639$	1.54031	+	5.24580i	0.0609335	+	0.207521i
$640$	−2.08632	+	0.804531i	−0.0824690	+	0.0318019i
$641$	28.8434	+	4.14705i	1.13924	+	0.163799i	0.686009	−	0.727593i	$-0.259361\pi$
$641$	28.8434	+	4.14705i	1.13924	+	0.163799i	0.453235	+	0.891391i	$0.350270\pi$
$642$	2.26393	−	10.4071i	0.0893503	−	0.410737i
$643$	15.5208	+	15.5208i	0.612081	+	0.612081i	0.943488	−	0.331407i	$-0.107523\pi$
$643$	15.5208	+	15.5208i	0.612081	+	0.612081i	−0.331407	+	0.943488i	$0.607523\pi$
$644$	3.00020	+	11.5850i	0.118225	+	0.456515i
$645$	0.544558	+	49.2730i	0.0214419	+	1.94012i
$646$	4.62377	−	2.97152i	0.181920	−	0.116913i
$647$	2.13103	−	1.59527i	0.0837792	−	0.0627164i	−0.556567	−	0.830803i	$-0.687882\pi$
$647$	2.13103	−	1.59527i	0.0837792	−	0.0627164i	0.640346	+	0.768086i	$0.278791\pi$
$648$	3.87505	+	10.3894i	0.152226	+	0.408134i
$649$	−32.3282	+	9.49242i	−1.26899	+	0.372610i
$650$	−2.98926	−	6.18032i	−0.117248	−	0.242412i
$651$	6.03178	−	5.22657i	0.236404	−	0.204845i
$652$	−1.36794	+	1.82736i	−0.0535727	+	0.0715648i
$653$	18.8914	−	10.3155i	0.739279	−	0.403677i	−0.0650340	−	0.997883i	$-0.520716\pi$
$653$	18.8914	−	10.3155i	0.739279	−	0.403677i	0.804313	+	0.594206i	$0.202534\pi$
$654$	16.1929	−	18.6876i	0.633193	−	0.730743i
$655$	−2.74281	+	4.37342i	−0.107171	+	0.170884i
$656$	4.70634	+	3.02458i	0.183752	+	0.118090i
$657$	−1.65562	+	0.118412i	−0.0645917	+	0.00461969i
$658$	−2.55926	−	4.68694i	−0.0997704	−	0.182716i
$659$	−2.14422	−	14.9134i	−0.0835269	−	0.580942i	−0.988005	−	0.154422i	$-0.950648\pi$
$659$	−2.14422	−	14.9134i	−0.0835269	−	0.580942i	0.904478	−	0.426520i	$-0.140261\pi$
$660$	1.42113	−	23.5202i	0.0553175	−	0.915522i
$661$	9.09464	−	4.15338i	0.353741	−	0.161548i	−0.230616	−	0.973045i	$-0.574074\pi$
$661$	9.09464	−	4.15338i	0.353741	−	0.161548i	0.584357	+	0.811497i	$0.301347\pi$
$662$	−6.25379	−	3.41483i	−0.243060	−	0.132721i
$663$	−14.2120	+	5.30081i	−0.551949	+	0.205866i
$664$	1.69611	−	11.7967i	0.0658217	−	0.457800i
$665$	−5.50433	−	1.13384i	−0.213449	−	0.0439682i
$666$		−	8.33449i		−	0.322955i
$667$	4.46100	+	1.82951i	0.172730	+	0.0708389i
$668$	13.2581	−	13.2581i	0.512970	−	0.512970i
$669$	−27.0345	−	42.0665i	−1.04521	−	1.62638i
$670$	34.8939	+	4.62399i	1.34807	+	0.178640i
$671$	−19.1346	+	41.8989i	−0.738682	+	1.61749i
$672$	2.42095	−	4.43364i	0.0933903	−	0.171031i
$673$	−45.7110	−	17.0493i	−1.76203	−	0.657203i	−0.999953	−	0.00971802i	$-0.996907\pi$
$673$	−45.7110	−	17.0493i	−1.76203	−	0.657203i	−0.762078	−	0.647485i	$-0.775821\pi$
$674$	16.7136	+	19.2885i	0.643784	+	0.742967i
$675$	11.1928	−	15.6618i	0.430811	−	0.602821i
$676$	10.6645	+	3.13138i	0.410173	+	0.120438i
$677$	−1.21516	−	16.9901i	−0.0467023	−	0.652983i	−0.965855	−	0.259082i	$-0.916580\pi$
$677$	−1.21516	−	16.9901i	−0.0467023	−	0.652983i	0.919153	−	0.393901i	$-0.128875\pi$
$678$	3.99720	+	18.3748i	0.153512	+	0.705682i
$679$	−9.08142	+	14.1310i	−0.348513	+	0.542297i
$680$	7.88838	−	9.30960i	0.302506	−	0.357007i
$681$	1.76846	−	6.02283i	0.0677676	−	0.230795i
$682$	6.58381	+	4.92858i	0.252107	+	0.188725i
$683$	6.18845	+	0.442607i	0.236794	+	0.0169359i	0.189232	−	0.981932i	$-0.439400\pi$
$683$	6.18845	+	0.442607i	0.236794	+	0.0169359i	0.0475624	+	0.998868i	$0.484855\pi$
$684$	−0.459484	−	1.00613i	−0.0175688	−	0.0384703i
$685$	33.8613	+	18.0068i	1.29377	+	0.688003i
$686$	−17.6441	−	8.05780i	−0.673655	−	0.307648i
$687$	35.6278	+	47.5932i	1.35929	+	1.81579i
$688$	−10.6369	−	2.31391i	−0.405527	−	0.0882171i
$689$	5.57250			0.212295
$690$	21.6163	+	2.00616i	0.822920	+	0.0763734i
$691$	−11.2595			−0.428330			−0.214165	−	0.976797i	$-0.568703\pi$
$691$	−11.2595			−0.428330			−0.214165	+	0.976797i	$0.568703\pi$
$692$	17.5504	+	3.81786i	0.667167	+	0.145133i
$693$	8.54836	+	11.4193i	0.324725	+	0.433782i
$694$	2.83073	+	1.29275i	0.107453	+	0.0490722i
$695$	−11.2645	+	3.44321i	−0.427285	+	0.130608i
$696$	−0.845479	−	1.85134i	−0.0320478	−	0.0701749i
$697$	−30.4511	−	2.17791i	−1.15342	−	0.0824942i
$698$	13.9940	+	10.4758i	0.529680	+	0.396514i
$699$	11.7964	−	40.1749i	0.446181	−	1.51955i
$700$	−12.4222	+	1.16490i	−0.469515	+	0.0440293i
$701$	−4.89785	+	7.62120i	−0.184989	+	0.287849i	−0.921345	−	0.388746i	$-0.872909\pi$
$701$	−4.89785	+	7.62120i	−0.184989	+	0.287849i	0.736356	+	0.676594i	$0.236545\pi$
$702$	−1.12369	−	5.16550i	−0.0424108	−	0.194959i
$703$	−0.545314	−	7.62449i	−0.0205669	−	0.287563i
$704$	4.99451	+	1.46652i	0.188238	+	0.0552716i
$705$	−9.57292	+	1.48453i	−0.360537	+	0.0559108i
$706$	−1.10533	−	1.27562i	−0.0415996	−	0.0480085i
$707$	5.48505	+	2.04582i	0.206287	+	0.0769409i
$708$	−6.27979	+	11.5006i	−0.236009	+	0.432218i
$709$	−2.15359	+	4.71571i	−0.0808798	+	0.177102i	−0.945751	−	0.324891i	$-0.894672\pi$
$709$	−2.15359	+	4.71571i	−0.0808798	+	0.177102i	0.864872	+	0.501993i	$0.167400\pi$
$710$	6.76935	+	8.83751i	0.254049	+	0.331666i
$711$	6.78640	+	10.5598i	0.254510	+	0.396025i
$712$	−10.0953	+	10.0953i	−0.378338	+	0.378338i
$713$	−4.73372	+	5.91652i	−0.177279	+	0.221576i
$714$			27.5664i			1.03165i
$715$	−3.22438	+	15.6531i	−0.120585	+	0.585393i
$716$	2.80106	−	19.4818i	0.104680	−	0.728068i
$717$	9.60229	−	3.58147i	0.358604	−	0.133752i
$718$	−23.6316	−	12.9039i	−0.881925	−	0.481568i
$719$	−26.3786	+	12.0467i	−0.983757	+	0.449267i	−0.841320	−	0.540537i	$-0.818221\pi$
$719$	−26.3786	+	12.0467i	−0.983757	+	0.449267i	−0.142437	+	0.989804i	$0.545494\pi$
$720$	−1.62849	−	1.83794i	−0.0606903	−	0.0684960i
$721$	6.93602	+	48.2411i	0.258311	+	1.79659i
$722$	8.61956	+	15.7855i	0.320787	+	0.587477i
$723$	−14.1668	+	1.01323i	−0.526869	+	0.0376824i
$724$	−5.17123	−	3.32335i	−0.192187	−	0.123511i
$725$	−2.62359	+	4.28788i	−0.0974377	+	0.159248i
$726$	−21.3382	+	24.6256i	−0.791935	+	0.913942i
$727$	35.5270	−	19.3992i	1.31762	−	0.719477i	0.342161	−	0.939641i	$-0.388841\pi$
$727$	35.5270	−	19.3992i	1.31762	−	0.719477i	0.975463	+	0.220165i	$0.0706595\pi$
$728$	−2.05327	+	2.74285i	−0.0760992	+	0.101657i
$729$	8.46799	−	7.33756i	0.313629	−	0.271761i
$730$	−3.05858	+	1.43787i	−0.113203	+	0.0532179i
$731$	56.9970	−	16.7358i	2.10811	−	0.618997i
$732$	6.26014	+	16.7841i	0.231381	+	0.620357i
$733$	29.5914	−	22.1518i	1.09298	−	0.818197i	0.108573	−	0.994088i	$-0.465372\pi$
$733$	29.5914	−	22.1518i	1.09298	−	0.818197i	0.984409	+	0.175892i	$0.0562809\pi$
$734$	2.01421	−	1.29445i	0.0743459	−	0.0477792i
$735$	−2.44767	+	2.50238i	−0.0902837	+	0.0923016i
$736$	−1.49856	+	4.55569i	−0.0552377	+	0.167925i
$737$	−57.9403	−	57.9403i	−2.13426	−	2.13426i
$738$	−1.30594	+	6.00330i	−0.0480722	+	0.220985i
$739$	−24.9738	−	3.59068i	−0.918674	−	0.132085i	−0.333274	−	0.942830i	$-0.608154\pi$
$739$	−24.9738	−	3.59068i	−0.918674	−	0.132085i	−0.585400	+	0.810744i	$0.699063\pi$
$740$	−6.10587	−	15.8338i	−0.224456	−	0.582063i
$741$	0.788742	+	2.68621i	0.0289752	+	0.0986803i
$742$	3.53911	−	9.48871i	0.129925	−	0.348342i
$743$	1.21241	−	16.9518i	0.0444792	−	0.621900i	−0.925506	−	0.378734i	$-0.876360\pi$
$743$	1.21241	−	16.9518i	0.0444792	−	0.621900i	0.969985	−	0.243166i	$-0.0781859\pi$
$744$	3.16588	−	0.455185i	0.116067	−	0.0166879i
$745$	−1.67637	+	5.95173i	−0.0614174	+	0.218055i
$746$	9.06192	+	7.85220i	0.331780	+	0.287489i
$747$	12.7890	−	2.78208i	0.467925	−	0.101791i
$748$	−27.7566	+	6.03808i	−1.01488	+	0.220774i
$749$	9.92163	+	8.59714i	0.362529	+	0.314133i
$750$	−5.65321	+	21.9161i	−0.206426	+	0.800262i
$751$	−14.4599	+	2.07903i	−0.527651	+	0.0758647i	−0.400992	−	0.916082i	$-0.631334\pi$
$751$	−14.4599	+	2.07903i	−0.527651	+	0.0758647i	−0.126659	+	0.991946i	$0.540425\pi$
$752$	0.152669	−	2.13460i	0.00556728	−	0.0778408i
$753$	2.60049	−	6.97219i	0.0947672	−	0.254081i
$754$	0.388911	+	1.32451i	0.0141633	+	0.0482358i
$755$	28.4170	+	12.5999i	1.03420	+	0.458559i
$756$	−9.50935	−	1.36724i	−0.345852	−	0.0497260i
$757$	4.73311	−	21.7578i	0.172028	−	0.790800i	−0.807560	−	0.589785i	$-0.799212\pi$
$757$	4.73311	−	21.7578i	0.172028	−	0.790800i	0.979588	−	0.201015i	$-0.0644239\pi$
$758$	−2.96003	−	2.96003i	−0.107513	−	0.107513i
$759$	−37.1084	−	34.3070i	−1.34695	−	1.24527i
$760$	−1.61002	−	1.57482i	−0.0584015	−	0.0571247i
$761$	24.2884	−	15.6092i	0.880454	−	0.565833i	−0.0204797	−	0.999790i	$-0.506519\pi$
$761$	24.2884	−	15.6092i	0.880454	−	0.565833i	0.900934	+	0.433957i	$0.142883\pi$
$762$	21.6141	−	16.1801i	0.782997	−	0.586144i
$763$	10.6515	+	28.5579i	0.385612	+	1.03386i
$764$	9.41858	−	2.76554i	0.340752	−	0.100054i
$765$	12.6064	+	4.54389i	0.455785	+	0.164285i
$766$	12.3871	−	10.7335i	0.447565	−	0.387817i
$767$	5.32604	−	7.11476i	0.192312	−	0.256899i
$768$	1.77677	−	0.970190i	0.0641137	−	0.0350087i
$769$	−9.50097	+	10.9647i	−0.342614	+	0.395397i	−0.900740	−	0.434359i	$-0.856975\pi$
$769$	−9.50097	+	10.9647i	−0.342614	+	0.395397i	0.558126	+	0.829756i	$0.311521\pi$
$770$	24.6059	+	15.4317i	0.886736	+	0.556121i
$771$	−29.4522	−	18.9278i	−1.06069	−	0.681667i
$772$	−6.00991	+	0.429837i	−0.216301	+	0.0154702i
$773$	−5.09089	−	9.32327i	−0.183107	−	0.335335i	0.769962	−	0.638090i	$-0.220275\pi$
$773$	−5.09089	−	9.32327i	−0.183107	−	0.335335i	−0.953068	+	0.302756i	$0.902093\pi$
$774$	−1.70129	−	11.8327i	−0.0611517	−	0.425319i
$775$	−5.30391	−	5.85443i	−0.190522	−	0.210297i
$776$	−6.12324	+	2.79639i	−0.219811	+	0.100385i
$777$	33.6485	+	18.3735i	1.20713	+	0.659144i
$778$	10.3112	−	3.84588i	0.369674	−	0.137881i
$779$	−0.801900	+	5.57734i	−0.0287311	+	0.199829i
$780$	3.41788	+	5.19127i	0.122380	+	0.185877i
$781$		−	25.9147i		−	0.927302i
$782$	−4.73699	−	25.7387i	−0.169395	−	0.920413i
$783$	−2.73700	+	2.73700i	−0.0978124	+	0.0978124i
$784$	−0.418070	−	0.650530i	−0.0149311	−	0.0232332i
$785$	−14.4095	+	11.0374i	−0.514298	+	0.393942i
$786$	1.94151	−	4.25132i	0.0692515	−	0.151640i
$787$	−16.7409	+	30.6587i	−0.596750	+	1.09287i	0.388452	+	0.921469i	$0.373010\pi$
$787$	−16.7409	+	30.6587i	−0.596750	+	1.09287i	−0.985202	+	0.171397i	$0.945172\pi$
$788$	−20.9164	−	7.80142i	−0.745116	−	0.277914i
$789$	25.9041	+	29.8949i	0.922210	+	1.06429i
$790$	20.6289	+	15.0898i	0.733944	+	0.536871i
$791$	−22.2402	−	6.53032i	−0.790772	−	0.232192i
$792$	0.407806	+	5.70187i	0.0144908	+	0.202607i
$793$	−2.58265	−	11.8723i	−0.0917127	−	0.421596i
$794$	−3.35755	+	5.22445i	−0.119155	+	0.185409i
$795$	−14.0163	−	11.8765i	−0.497106	−	0.421217i
$796$	−0.253951	+	0.864877i	−0.00900104	+	0.0306547i
$797$	−21.2882	−	15.9362i	−0.754067	−	0.564487i	0.151618	−	0.988439i	$-0.451552\pi$
$797$	−21.2882	−	15.9362i	−0.754067	−	0.564487i	−0.905685	+	0.423952i	$0.860643\pi$
$798$	5.07494	+	0.362967i	0.179651	+	0.0128489i
$799$	4.85134	+	10.6229i	0.171628	+	0.375813i
$800$	−4.44028	−	2.29867i	−0.156988	−	0.0812703i
$801$	−14.2618	−	6.51315i	−0.503916	−	0.230131i
$802$	12.3726	+	16.5279i	0.436893	+	0.583621i
$803$	7.68784	+	1.67239i	0.271298	+	0.0590173i
$804$	−31.8669			−1.12386
$805$	−14.9400	+	22.2007i	−0.526565	+	0.782470i
$806$	−2.16936			−0.0764123
$807$	34.3361	+	7.46935i	1.20869	+	0.262934i
$808$	1.40593	+	1.87810i	0.0494604	+	0.0660713i
$809$	−14.1947	−	6.48250i	−0.499059	−	0.227913i	0.149950	−	0.988694i	$-0.452089\pi$
$809$	−14.1947	−	6.48250i	−0.499059	−	0.227913i	−0.649009	+	0.760781i	$0.724816\pi$
$810$	−11.6416	+	21.8918i	−0.409045	+	0.769200i
$811$	15.0606	+	32.9781i	0.528850	+	1.15802i	0.965979	+	0.258621i	$0.0832680\pi$
$811$	15.0606	+	32.9781i	0.528850	+	1.15802i	−0.437129	+	0.899399i	$0.644005\pi$
$812$	2.50234	+	0.178971i	0.0878150	+	0.00628065i
$813$	12.0034	+	8.98567i	0.420979	+	0.315141i
$814$	−11.1299	+	37.9051i	−0.390104	+	1.32857i
$815$	−5.08682	+	0.420368i	−0.178184	+	0.0147248i
$816$	−5.97255	+	9.29347i	−0.209081	+	0.325337i
$817$	−2.33056	−	10.7134i	−0.0815361	−	0.374815i
$818$	−0.524932	−	7.33951i	−0.0183538	−	0.256620i
$819$	−3.61022	−	1.06006i	−0.126151	−	0.0370414i
$820$	1.91702	+	12.3618i	0.0669453	+	0.431692i
$821$	−2.86379	−	3.30499i	−0.0999469	−	0.115345i	0.703572	−	0.710624i	$-0.251587\pi$
$821$	−2.86379	−	3.30499i	−0.0999469	−	0.115345i	−0.803519	+	0.595279i	$0.797042\pi$
$822$	−32.5318	−	12.1337i	−1.13468	−	0.423213i
$823$	0.583372	−	1.06837i	0.0203351	−	0.0372409i	−0.867314	−	0.497762i	$-0.834155\pi$
$823$	0.583372	−	1.06837i	0.0203351	−	0.0372409i	0.887649	+	0.460521i	$0.152337\pi$
$824$	−8.11359	+	17.7663i	−0.282650	+	0.618918i
$825$	41.4713	−	32.4996i	1.44384	−	1.13149i
$826$	−8.73226	−	13.5877i	−0.303834	−	0.472775i
$827$	−10.5319	+	10.5319i	−0.366230	+	0.366230i	−0.866100	−	0.499870i	$-0.833381\pi$
$827$	−10.5319	+	10.5319i	−0.366230	+	0.366230i	0.499870	+	0.866100i	$0.333381\pi$
$828$	−5.26265	+	0.206431i	−0.182890	+	0.00717397i
$829$			29.0834i			1.01011i	0.863088	+	0.505054i	$0.168527\pi$
$829$			29.0834i			1.01011i	−0.863088	+	0.505054i	$0.831473\pi$
$830$	22.2583	−	14.6546i	0.772598	−	0.508670i
$831$	0.256706	−	1.78543i	0.00890502	−	0.0619357i
$832$	−1.28648	+	0.479834i	−0.0446008	+	0.0166352i
$833$	3.70366	+	2.02235i	0.128324	+	0.0700704i
$834$	9.70024	−	4.42995i	0.335892	−	0.153397i
$835$	41.8493	+	2.52861i	1.44826	+	0.0875062i
$836$	0.746132	+	5.18946i	0.0258055	+	0.179481i
$837$	−2.91520	−	5.33879i	−0.100764	−	0.184536i
$838$	−9.22014	+	0.659438i	−0.318505	+	0.0227799i
$839$	6.40082	+	4.11355i	0.220981	+	0.142016i	0.646448	−	0.762958i	$-0.276254\pi$
$839$	6.40082	+	4.11355i	0.220981	+	0.142016i	−0.425467	+	0.904974i	$0.639890\pi$
$840$	11.0103	−	2.52289i	0.379890	−	0.0870479i
$841$	−18.3291	+	21.1529i	−0.632036	+	0.729409i
$842$	−30.7813	+	16.8079i	−1.06079	+	0.579237i
$843$	24.6792	−	32.9675i	0.849996	−	1.13546i
$844$	17.5993	−	15.2499i	0.605794	−	0.524923i
$845$	10.5736	+	22.4918i	0.363744	+	0.773743i
$846$	2.25497	−	0.662118i	0.0775273	−	0.0227641i
$847$	−14.0361	−	37.6322i	−0.482285	−	1.29306i
$848$	3.24897	−	2.43215i	0.111570	−	0.0835202i
$849$	−2.55913	+	1.64465i	−0.0878292	+	0.0564444i
$850$	27.2784	−	0.603028i	0.935642	−	0.0206837i
$851$	−34.5747	−	11.3731i	−1.18521	−	0.389865i
$852$	−7.12650	−	7.12650i	−0.244150	−	0.244150i
$853$	5.82006	−	26.7544i	0.199275	−	0.916053i	−0.763512	−	0.645793i	$-0.776527\pi$
$853$	5.82006	−	26.7544i	0.199275	−	0.916053i	0.962787	−	0.270260i	$-0.0871096\pi$
$854$	−21.8561	−	3.14243i	−0.747899	−	0.107532i
$855$	1.00251	−	2.26099i	0.0342852	−	0.0773243i
$856$	1.48222	+	5.04798i	0.0506612	+	0.172536i
$857$	−9.35198	+	25.0736i	−0.319457	+	0.856499i	0.673624	+	0.739074i	$0.264737\pi$
$857$	−9.35198	+	25.0736i	−0.319457	+	0.856499i	−0.993082	+	0.117425i	$0.962536\pi$
$858$	1.03220	−	14.4320i	0.0352387	−	0.492701i
$859$	−50.2261	+	7.22142i	−1.71369	+	0.246392i	−0.928094	−	0.372346i	$-0.878553\pi$
$859$	−50.2261	+	7.22142i	−1.71369	+	0.246392i	−0.785598	+	0.618738i	$0.787644\pi$
$860$	−11.9008	−	21.2334i	−0.405814	−	0.724054i
$861$	−21.3579	−	18.5067i	−0.727876	−	0.630708i
$862$	−35.3650	+	7.69318i	−1.20454	+	0.262031i
$863$	28.3873	−	6.17528i	0.966315	−	0.210209i	0.298395	−	0.954442i	$-0.403549\pi$
$863$	28.3873	−	6.17528i	0.966315	−	0.210209i	0.667920	+	0.744234i	$0.267185\pi$
$864$	−2.90966	−	2.52124i	−0.0989887	−	0.0857742i
$865$	19.6358	+	35.0343i	0.667639	+	1.19120i
$866$	12.0094	−	1.72669i	0.408096	−	0.0586754i
$867$	1.84553	−	25.8039i	0.0626776	−	0.876348i
$868$	−1.37776	+	3.69393i	−0.0467643	+	0.125380i
$869$	−16.7627	−	57.0886i	−0.568636	−	1.93660i
$870$	1.84468	−	4.16036i	0.0625407	−	0.141050i
$871$	21.3939	+	3.07598i	0.724904	+	0.104225i
$872$	−2.59641	+	11.9355i	−0.0879254	+	0.404186i
$873$	−5.22727	−	5.22727i	−0.176916	−	0.176916i
$874$	−4.80083	+	0.533173i	−0.162390	+	0.0180349i
$875$	−20.3705	−	19.0626i	−0.688647	−	0.644434i
$876$	2.57404	−	1.65424i	0.0869688	−	0.0558915i
$877$	−20.3853	+	15.2602i	−0.688363	+	0.515302i	−0.885245	−	0.465125i	$-0.846009\pi$
$877$	−20.3853	+	15.2602i	−0.688363	+	0.515302i	0.196882	+	0.980427i	$0.436918\pi$
$878$	−0.658055	−	1.76431i	−0.0222083	−	0.0595427i
$879$	−40.8236	+	11.9869i	−1.37695	+	0.404308i
$880$	4.95196	+	10.5336i	0.166930	+	0.355089i
$881$	−31.1113	+	26.9581i	−1.04817	+	0.908241i	−0.995906	−	0.0903928i	$-0.971188\pi$
$881$	−31.1113	+	26.9581i	−1.04817	+	0.908241i	−0.0522595	+	0.998634i	$0.516642\pi$
$882$	0.508912	−	0.679827i	0.0171360	−	0.0228910i
$883$	−23.7849	+	12.9875i	−0.800426	+	0.437066i	−0.826737	−	0.562588i	$-0.809806\pi$
$883$	−23.7849	+	12.9875i	−0.800426	+	0.437066i	0.0263114	+	0.999654i	$0.491624\pi$
$884$	4.90673	−	5.66267i	0.165031	−	0.190456i
$885$	−28.5599	+	6.54421i	−0.960031	+	0.219981i
$886$	23.5405	+	15.1285i	0.790857	+	0.508253i
$887$	30.4281	−	2.17626i	1.02167	−	0.0730716i	0.449564	−	0.893248i	$-0.351579\pi$
$887$	30.4281	−	2.17626i	1.02167	−	0.0730716i	0.572111	+	0.820177i	$0.306125\pi$
$888$	7.36311	+	13.4845i	0.247090	+	0.452511i
$889$	4.73629	+	32.9416i	0.158850	+	1.10483i
$890$	−31.8660	−	1.92540i	−1.06815	−	0.0645397i
$891$	52.5039	−	23.9777i	1.75895	−	0.803284i
$892$	21.6795	+	11.8379i	0.725883	+	0.396362i
$893$	2.01955	−	0.753253i	0.0675816	−	0.0252066i
$894$	0.796676	−	5.54100i	0.0266448	−	0.185319i
$895$	36.7588	−	24.2016i	1.22871	−	0.808970i
$896$			2.49534i			0.0833634i
$897$	13.2591	+	1.37850i	0.442708	+	0.0460266i
$898$	27.3157	−	27.3157i	0.911535	−	0.911535i
$899$	0.858769	+	1.33627i	0.0286416	+	0.0445671i
$900$	0.661127	−	5.45096i	0.0220376	−	0.181699i
$901$	−9.20024	+	20.1457i	−0.306504	+	0.671151i
$902$	13.9562	−	25.5590i	0.464692	−	0.851020i
$903$	51.5224	+	19.2169i	1.71456	+	0.639497i
$904$	−6.08299	−	7.02015i	−0.202317	−	0.233487i
$905$	−2.10639	−	13.5829i	−0.0700186	−	0.451510i
$906$	−27.0025	−	7.92866i	−0.897100	−	0.263412i
$907$	2.73399	+	38.2262i	0.0907807	+	1.26928i	0.814898	+	0.579604i	$0.196793\pi$
$907$	2.73399	+	38.2262i	0.0907807	+	1.26928i	−0.724118	+	0.689676i	$0.757753\pi$
$908$	0.659107	+	3.02986i	0.0218732	+	0.100550i
$909$	−1.39289	+	2.16738i	−0.0461994	+	0.0718876i
$910$	−7.63528	+	0.630968i	−0.253107	+	0.0209164i
$911$	−6.62439	+	22.5606i	−0.219476	+	0.747466i	0.773976	+	0.633215i	$0.218265\pi$
$911$	−6.62439	+	22.5606i	−0.219476	+	0.747466i	−0.993452	+	0.114251i	$0.963553\pi$
$912$	1.63227	+	1.22191i	0.0540500	+	0.0404613i
$913$	−61.8794	−	4.42570i	−2.04791	−	0.146469i
$914$	−11.3377	−	24.8262i	−0.375019	−	0.821176i
$915$	−18.8070	+	35.3662i	−0.621742	+	1.16917i
$916$	−26.7135	−	12.1997i	−0.882640	−	0.403088i
$917$	3.45239	+	4.61185i	0.114008	+	0.152297i
$918$	20.5296	+	4.46593i	0.677577	+	0.147398i
$919$	53.2476			1.75647			0.878237	−	0.478225i	$-0.158720\pi$
$919$	53.2476			1.75647			0.878237	+	0.478225i	$0.158720\pi$
$920$	−9.84672	+	4.24761i	−0.324637	+	0.140039i
$921$	−22.1157			−0.728736
$922$	34.4286	+	7.48948i	1.13385	+	0.246653i
$923$	4.09649	+	5.47227i	0.134838	+	0.180122i
$924$	−23.9189	−	10.9234i	−0.786876	−	0.359354i
$925$	17.4454	−	33.6989i	0.573602	−	1.10801i
$926$	−1.98053	−	4.33675i	−0.0650842	−	0.142515i
$927$	−21.3943	−	1.53015i	−0.702680	−	0.0502566i
$928$	0.804839	+	0.602495i	0.0264201	+	0.0197779i
$929$	−4.41071	+	15.0215i	−0.144711	+	0.492839i	−0.999665	−	0.0258632i	$-0.991767\pi$
$929$	−4.41071	+	15.0215i	−0.144711	+	0.492839i	0.854955	+	0.518702i	$0.173585\pi$
$930$	5.45650	+	4.62350i	0.178926	+	0.151611i
$931$	0.421079	−	0.655211i	0.0138003	−	0.0214737i
$932$	4.39653	+	20.2105i	0.144013	+	0.662017i
$933$	1.07353	+	15.0099i	0.0351458	+	0.491403i
$934$	−11.2187	−	3.29411i	−0.367087	−	0.107786i
$935$	−51.2657	−	37.5002i	−1.67657	−	1.22639i
$936$	−0.987441	−	1.13957i	−0.0322755	−	0.0372479i
$937$	−6.86721	−	2.56134i	−0.224342	−	0.0836752i	0.234780	−	0.972049i	$-0.424563\pi$
$937$	−6.86721	−	2.56134i	−0.224342	−	0.0836752i	−0.459122	+	0.888373i	$0.651836\pi$
$938$	18.8250	−	34.4754i	0.614658	−	1.12566i
$939$	−16.5035	+	36.1377i	−0.538573	+	1.17931i
$940$	3.79890	−	2.90988i	0.123907	−	0.0949099i
$941$	−8.65257	−	13.4637i	−0.282066	−	0.438903i	0.671093	−	0.741373i	$-0.265825\pi$
$941$	−8.65257	−	13.4637i	−0.282066	−	0.438903i	−0.953159	+	0.302470i	$0.902189\pi$
$942$	11.6197	−	11.6197i	0.378591	−	0.378591i
$943$	23.1220	+	13.6096i	0.752956	+	0.443188i
$944$		−	6.47275i		−	0.210670i
$945$	−11.8132	−	17.9425i	−0.384282	−	0.583671i
$946$	−8.06410	+	56.0871i	−0.262187	+	1.82355i
$947$	−17.0205	+	6.34831i	−0.553091	+	0.206292i	−0.610441	−	0.792062i	$-0.709008\pi$
$947$	−17.0205	+	6.34831i	−0.553091	+	0.206292i	0.0573496	+	0.998354i	$0.481735\pi$
$948$	−20.3090	−	11.0895i	−0.659604	−	0.360171i
$949$	−1.88776	+	0.862112i	−0.0612793	+	0.0279853i
$950$	0.248158	−	5.02986i	0.00805132	−	0.163190i
$951$	2.90613	+	20.2125i	0.0942376	+	0.655437i
$952$	−6.52598	−	11.9514i	−0.211508	−	0.387349i
$953$	20.5743	−	1.47150i	0.666466	−	0.0476666i	0.265993	−	0.963975i	$-0.414300\pi$
$953$	20.5743	−	1.47150i	0.666466	−	0.0476666i	0.400473	+	0.916308i	$0.368846\pi$
$954$	3.74941	+	2.40960i	0.121392	+	0.0780136i
$955$	18.5953	+	11.6621i	0.601729	+	0.377377i
$956$	−3.31522	+	3.82597i	−0.107222	+	0.123741i
$957$	−9.29839	+	5.07730i	−0.300574	+	0.164126i
$958$	−14.6394	+	19.5559i	−0.472977	+	0.631823i
$959$	32.3448	−	28.0269i	1.04447	−	0.905035i
$960$	4.25850	+	1.53495i	0.137443	+	0.0495402i
$961$	27.3492	−	8.03044i	0.882231	−	0.259046i
$962$	−3.64163	−	9.76358i	−0.117411	−	0.314790i
$963$	−4.62523	+	3.46241i	−0.149046	+	0.111574i
$964$	5.90216	−	3.79309i	0.190096	−	0.122167i
$965$	−9.63148	−	9.42092i	−0.310048	−	0.303270i
$966$	10.7681	−	21.7017i	0.346459	−	0.698242i
$967$	−1.50826	−	1.50826i	−0.0485025	−	0.0485025i	0.682440	−	0.730942i	$-0.260919\pi$
$967$	−1.50826	−	1.50826i	−0.0485025	−	0.0485025i	−0.730942	+	0.682440i	$0.760919\pi$
$968$	3.42142	−	15.7280i	0.109968	−	0.505517i
$969$	−11.0134	−	1.58349i	−0.353802	−	0.0508690i
$970$	−13.7602	−	6.10122i	−0.441815	−	0.195898i
$971$	−10.8951	−	37.1053i	−0.349640	−	1.19076i	−0.927247	−	0.374450i	$-0.877832\pi$
$971$	−10.8951	−	37.1053i	−0.349640	−	1.19076i	0.577607	−	0.816315i	$-0.303987\pi$
$972$	3.80829	−	10.2104i	0.122151	−	0.327499i
$973$	−0.937732	+	13.1112i	−0.0300623	+	0.420326i
$974$	16.2892	−	2.34204i	0.521940	−	0.0750436i
$975$	−3.61986	+	13.4184i	−0.115928	+	0.429731i
$976$	−6.68749	−	5.79475i	−0.214061	−	0.185485i
$977$	−5.90309	+	1.28414i	−0.188856	+	0.0410832i	−0.305999	−	0.952032i	$-0.598990\pi$
$977$	−5.90309	+	1.28414i	−0.188856	+	0.0410832i	0.117142	+	0.993115i	$0.462627\pi$
$978$	4.51539	−	0.982262i	0.144386	−	0.0314093i
$979$	56.1647	+	48.6670i	1.79503	+	1.55540i
$980$	0.468785	−	1.66436i	0.0149748	−	0.0531661i
$981$	−13.2773	+	1.90899i	−0.423913	+	0.0609495i
$982$	−2.05443	+	28.7247i	−0.0655595	+	0.916642i
$983$	10.8386	−	29.0593i	0.345697	−	0.926849i	−0.641469	−	0.767149i	$-0.721675\pi$
$983$	10.8386	−	29.0593i	0.345697	−	0.926849i	0.987166	−	0.159700i	$-0.0510526\pi$
$984$	−3.19072	−	10.8666i	−0.101716	−	0.346414i
$985$	−17.9603	−	46.5749i	−0.572263	−	1.48400i
$986$	−5.43047	−	0.780784i	−0.172941	−	0.0248652i
$987$	−2.29795	+	10.5635i	−0.0731447	+	0.336241i
$988$	−0.977884	−	0.977884i	−0.0311106	−	0.0311106i
$989$	−51.4085	−	9.08914i	−1.63469	−	0.289018i
$990$	−8.93804	+	9.13781i	−0.284070	+	0.290419i
$991$	−2.99267	+	1.92327i	−0.0950653	+	0.0610948i	−0.587310	−	0.809362i	$-0.699813\pi$
$991$	−2.99267	+	1.92327i	−0.0950653	+	0.0610948i	0.492244	+	0.870457i	$0.336177\pi$
$992$	−1.26481	+	0.946827i	−0.0401579	+	0.0300618i
$993$	5.04087	+	13.5151i	0.159967	+	0.428889i
$994$	11.9197	−	3.49995i	0.378071	−	0.111012i
$995$	−1.82406	+	0.857507i	−0.0578266	+	0.0271848i
$996$	−18.2338	+	15.7996i	−0.577759	+	0.500631i
$997$	−14.5565	+	19.4452i	−0.461010	+	0.615837i	−0.969458	−	0.245255i	$-0.921128\pi$
$997$	−14.5565	+	19.4452i	−0.461010	+	0.615837i	0.508449	+	0.861092i	$0.330219\pi$
$998$	14.6349	−	7.99129i	0.463261	−	0.252960i
$999$	19.1346	−	22.0824i	0.605390	−	0.698658i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.57.8	✓	240
5.3	odd	4	inner	230.2.l.a.103.11	yes	240
23.21	odd	22	inner	230.2.l.a.67.11	yes	240
115.113	even	44	inner	230.2.l.a.113.8	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.8	✓	240	1.1	even	1	trivial
230.2.l.a.67.11	yes	240	23.21	odd	22	inner
230.2.l.a.103.11	yes	240	5.3	odd	4	inner
230.2.l.a.113.8	yes	240	115.113	even	44	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:	\( N \)	\(=\)	\( 230 = 2 \cdot 5 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	230.l (of order \(44\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(0.977147 + 0.212565i) q^{2} +(-1.21318 - 1.62061i) q^{3} +(0.909632 + 0.415415i) q^{4} +(0.653645 + 2.13840i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(2.48898 + 0.178015i) q^{7} +(0.800541 + 0.599278i) q^{8} +(-0.309393 + 1.05370i) q^{9} +O(q^{10})\)	\(q+(0.977147 + 0.212565i) q^{2} +(-1.21318 - 1.62061i) q^{3} +(0.909632 + 0.415415i) q^{4} +(0.653645 + 2.13840i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(2.48898 + 0.178015i) q^{7} +(0.800541 + 0.599278i) q^{8} +(-0.309393 + 1.05370i) q^{9} +(0.184158 + 2.22847i) q^{10} +(2.81423 - 4.37903i) q^{11} +(-0.430316 - 1.97813i) q^{12} +(0.0979527 + 1.36956i) q^{13} +(2.39426 + 0.703018i) q^{14} +(2.67253 - 3.65356i) q^{15} +(0.654861 + 0.755750i) q^{16} +(-5.11295 - 1.90703i) q^{17} +(-0.526302 + 0.963851i) q^{18} +(-0.418404 + 0.916178i) q^{19} +(-0.293747 + 2.21669i) q^{20} +(-2.73108 - 4.24964i) q^{21} +(3.68075 - 3.68075i) q^{22} +(3.28025 + 3.49856i) q^{23} -2.02440i q^{24} +(-4.14550 + 2.79551i) q^{25} +(-0.195406 + 1.35908i) q^{26} +(-3.60729 + 1.34545i) q^{27} +(2.19011 + 1.19589i) q^{28} +(0.914515 - 0.417645i) q^{29} +(3.38807 - 3.00198i) q^{30} +(0.224850 + 1.56387i) q^{31} +(0.479249 + 0.877679i) q^{32} +(-10.5109 + 0.751753i) q^{33} +(-4.59074 - 2.95029i) q^{34} +(1.24624 + 5.43879i) q^{35} +(-0.719156 + 0.829950i) q^{36} +(-6.66101 + 3.63719i) q^{37} +(-0.603590 + 0.806302i) q^{38} +(2.10069 - 1.82026i) q^{39} +(-0.758225 + 2.10359i) q^{40} +(5.36782 - 1.57613i) q^{41} +(-1.76534 - 4.73305i) q^{42} +(-8.71442 + 6.52353i) q^{43} +(4.37903 - 2.81423i) q^{44} +(-2.45546 + 0.0271374i) q^{45} +(2.46161 + 4.11588i) q^{46} +(-1.51324 - 1.51324i) q^{47} +(0.430316 - 1.97813i) q^{48} +(-0.765416 - 0.110050i) q^{49} +(-4.64499 + 1.85043i) q^{50} +(3.11235 + 10.5997i) q^{51} +(-0.479834 + 1.28648i) q^{52} +(0.289527 - 4.04812i) q^{53} +(-3.81085 + 0.547917i) q^{54} +(11.2036 + 3.15562i) q^{55} +(1.88585 + 1.63410i) q^{56} +(1.99237 - 0.433413i) q^{57} +(0.982392 - 0.213706i) q^{58} +(-4.89177 - 4.23875i) q^{59} +(3.94876 - 2.21318i) q^{60} +(-8.75876 + 1.25932i) q^{61} +(-0.112712 + 1.57592i) q^{62} +(-0.957649 + 2.56756i) q^{63} +(0.281733 + 0.959493i) q^{64} +(-2.86463 + 1.10467i) q^{65} +(-10.4305 - 1.49967i) q^{66} +(3.34608 - 15.3817i) q^{67} +(-3.85869 - 3.85869i) q^{68} +(1.69030 - 9.56039i) q^{69} +(0.0616628 + 5.57941i) q^{70} +(4.18815 - 2.69156i) q^{71} +(-0.879140 + 0.658116i) q^{72} +(0.528197 + 1.41615i) q^{73} +(-7.28193 + 2.13817i) q^{74} +(9.55965 + 3.32681i) q^{75} +(-0.761188 + 0.659573i) q^{76} +(7.78411 - 10.3983i) q^{77} +(2.43960 - 1.33213i) q^{78} +(7.48523 - 8.63842i) q^{79} +(-1.18805 + 1.89435i) q^{80} +(9.32828 + 5.99492i) q^{81} +(5.58018 - 0.399102i) q^{82} +(-5.71168 - 10.4602i) q^{83} +(-0.718911 - 5.00014i) q^{84} +(0.735940 - 12.1800i) q^{85} +(-9.90194 + 4.52206i) q^{86} +(-1.78631 - 0.975398i) q^{87} +(4.87717 - 1.81909i) q^{88} +(-2.03182 + 14.1316i) q^{89} +(-2.40511 - 0.495428i) q^{90} +3.42624i q^{91} +(1.53046 + 4.54507i) q^{92} +(2.26164 - 2.26164i) q^{93} +(-1.15700 - 1.80032i) q^{94} +(-2.23264 - 0.295860i) q^{95} +(0.840965 - 1.84146i) q^{96} +(-3.22609 + 5.90815i) q^{97} +(-0.724531 - 0.270236i) q^{98} +(3.74347 + 4.32019i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) 240 * q - 8 * q^3 - 8 * q^6	\( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) 240 * q - 8 * q^3 - 8 * q^6 - 8 * q^12 + 16 * q^13 + 24 * q^16 - 72 * q^18 - 80 * q^23 - 8 * q^26 + 16 * q^27 - 44 * q^28 + 24 * q^31 - 44 * q^33 - 8 * q^35 - 32 * q^36 - 88 * q^37 - 24 * q^41 - 8 * q^46 - 80 * q^47 + 8 * q^48 + 8 * q^50 + 16 * q^52 - 44 * q^56 - 88 * q^57 - 176 * q^61 - 32 * q^62 - 176 * q^66 + 24 * q^70 - 336 * q^71 + 16 * q^72 - 88 * q^73 - 36 * q^75 - 24 * q^77 + 40 * q^78 - 136 * q^81 + 40 * q^82 - 100 * q^85 - 44 * q^86 + 40 * q^87 + 8 * q^92 + 56 * q^93 + 52 * q^95 + 8 * q^96 + 132 * q^97 + 24 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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