LMFDB - Embedded newform 230.2.l.a.103.11

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			103.11
Character	$\chi$	$=$	230.103
Dual form			230.2.l.a.67.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.212565 - 0.977147i) q^{2} +(1.62061 - 1.21318i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(0.606224 + 2.15232i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(0.178015 - 2.48898i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(0.309393 - 1.05370i) q^{9} +O(q^{10})$	\(q+(0.212565 - 0.977147i) q^{2} +(1.62061 - 1.21318i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(0.606224 + 2.15232i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(0.178015 - 2.48898i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(0.309393 - 1.05370i) q^{9} +(2.23200 - 0.134861i) q^{10} +(2.81423 - 4.37903i) q^{11} +(-1.97813 + 0.430316i) q^{12} +(-1.36956 + 0.0979527i) q^{13} +(-2.39426 - 0.703018i) q^{14} +(3.59360 + 2.75262i) q^{15} +(0.654861 + 0.755750i) q^{16} +(-1.90703 + 5.11295i) q^{17} +(-0.963851 - 0.526302i) q^{18} +(0.418404 - 0.916178i) q^{19} +(0.342666 - 2.20966i) q^{20} +(-2.73108 - 4.24964i) q^{21} +(-3.68075 - 3.68075i) q^{22} +(-3.49856 + 3.28025i) q^{23} +2.02440i q^{24} +(-4.26498 + 2.60958i) q^{25} +(-0.195406 + 1.35908i) q^{26} +(1.34545 + 3.60729i) q^{27} +(-1.19589 + 2.19011i) q^{28} +(-0.914515 + 0.417645i) q^{29} +(3.45359 - 2.92636i) q^{30} +(0.224850 + 1.56387i) q^{31} +(0.877679 - 0.479249i) q^{32} +(-0.751753 - 10.5109i) q^{33} +(4.59074 + 2.95029i) q^{34} +(5.46501 - 1.12573i) q^{35} +(-0.719156 + 0.829950i) q^{36} +(3.63719 + 6.66101i) q^{37} +(-0.806302 - 0.603590i) q^{38} +(-2.10069 + 1.82026i) q^{39} +(-2.08632 - 0.804531i) q^{40} +(5.36782 - 1.57613i) q^{41} +(-4.73305 + 1.76534i) q^{42} +(-6.52353 - 8.71442i) 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} +(1.97813 + 0.430316i) q^{48} +(0.765416 + 0.110050i) q^{49} +(1.64336 + 4.72222i) q^{50} +(3.11235 + 10.5997i) q^{51} +(1.28648 + 0.479834i) q^{52} +(4.04812 + 0.289527i) q^{53} +(3.81085 - 0.547917i) q^{54} +(11.1311 + 3.40246i) q^{55} +(1.88585 + 1.63410i) q^{56} +(-0.433413 - 1.99237i) q^{57} +(0.213706 + 0.982392i) q^{58} +(4.89177 + 4.23875i) q^{59} +(-2.12537 - 3.99671i) q^{60} +(-8.75876 + 1.25932i) q^{61} +(1.57592 + 0.112712i) q^{62} +(-2.56756 - 0.957649i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(-1.04108 - 2.88835i) q^{65} +(-10.4305 - 1.49967i) q^{66} +(-15.3817 - 3.34608i) 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} +(0.658116 + 0.879140i) q^{72} +(-1.41615 + 0.528197i) q^{73} +(7.28193 - 2.13817i) q^{74} +(-3.74601 + 9.40330i) q^{75} +(-0.761188 + 0.659573i) q^{76} +(-10.3983 - 7.78411i) q^{77} +(1.33213 + 2.43960i) q^{78} +(-7.48523 + 8.63842i) q^{79} +(-1.22962 + 1.86763i) q^{80} +(9.32828 + 5.99492i) q^{81} +(-0.399102 - 5.58018i) q^{82} +(10.4602 - 5.71168i) q^{83} +(0.718911 + 5.00014i) q^{84} +(-12.1608 - 1.00495i) q^{85} +(-9.90194 + 4.52206i) q^{86} +(-0.975398 + 1.78631i) q^{87} +(1.81909 + 4.87717i) q^{88} +(2.03182 - 14.1316i) q^{89} +(0.548462 - 2.39358i) q^{90} +3.42624i q^{91} +(4.54507 - 1.53046i) q^{92} +(2.26164 + 2.26164i) q^{93} +(1.15700 + 1.80032i) q^{94} +(2.22556 + 0.345132i) q^{95} +(0.840965 - 1.84146i) q^{96} +(5.90815 + 3.22609i) q^{97} +(0.270236 - 0.724531i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{9}{22}\right)$

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 $

$2$	0.212565	−	0.977147i	0.150306	−	0.690947i
$2$	0.212565	−	0.977147i	0.150306	−	0.690947i
$3$	1.62061	−	1.21318i	0.935661	−	0.700427i	−0.0184657	−	0.999829i	$-0.505878\pi$
$3$	1.62061	−	1.21318i	0.935661	−	0.700427i	0.954127	+	0.299402i	$0.0967872\pi$
$4$	−0.909632	−	0.415415i	−0.454816	−	0.207708i
$5$	0.606224	+	2.15232i	0.271112	+	0.962548i
$5$	0.606224	+	2.15232i	0.271112	+	0.962548i
$6$	−0.840965	−	1.84146i	−0.343322	−	0.751771i
$7$	0.178015	−	2.48898i	0.0672835	−	0.940746i	−0.845938	−	0.533282i	$-0.820959\pi$
$7$	0.178015	−	2.48898i	0.0672835	−	0.940746i	0.913221	−	0.407464i	$-0.133587\pi$
$8$	−0.599278	+	0.800541i	−0.211877	+	0.283034i
$9$	0.309393	−	1.05370i	0.103131	−	0.351232i
$10$	2.23200	−	0.134861i	0.705820	−	0.0426469i
$11$	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	$-0.105385\pi$
$12$	−1.97813	+	0.430316i	−0.571038	+	0.124222i
$13$	−1.36956	+	0.0979527i	−0.379847	+	0.0271672i	−0.259957	−	0.965620i	$-0.583709\pi$
$13$	−1.36956	+	0.0979527i	−0.379847	+	0.0271672i	−0.119889	+	0.992787i	$0.538254\pi$
$14$	−2.39426	−	0.703018i	−0.639893	−	0.187889i
$15$	3.59360	+	2.75262i	0.927864	+	0.710725i
$16$	0.654861	+	0.755750i	0.163715	+	0.188937i
$17$	−1.90703	+	5.11295i	−0.462523	+	1.24007i	0.471184	+	0.882035i	$0.343827\pi$
$17$	−1.90703	+	5.11295i	−0.462523	+	1.24007i	−0.933707	+	0.358038i	$0.883446\pi$
$18$	−0.963851	−	0.526302i	−0.227182	−	0.124051i
$19$	0.418404	−	0.916178i	0.0959885	−	0.210186i	−0.855546	−	0.517726i	$-0.826779\pi$
$19$	0.418404	−	0.916178i	0.0959885	−	0.210186i	0.951535	+	0.307540i	$0.0995059\pi$
$20$	0.342666	−	2.20966i	0.0766224	−	0.494094i
$21$	−2.73108	−	4.24964i	−0.595970	−	0.927347i
$22$	−3.68075	−	3.68075i	−0.784738	−	0.784738i
$23$	−3.49856	+	3.28025i	−0.729501	+	0.683980i
$23$	−3.49856	+	3.28025i	−0.729501	+	0.683980i
$24$			2.02440i			0.413228i
$25$	−4.26498	+	2.60958i	−0.852997	+	0.521916i
$26$	−0.195406	+	1.35908i	−0.0383223	+	0.266538i
$27$	1.34545	+	3.60729i	0.258932	+	0.694223i
$28$	−1.19589	+	2.19011i	−0.226002	+	0.413891i
$29$	−0.914515	+	0.417645i	−0.169821	+	0.0775547i	−0.498512	−	0.866883i	$-0.666120\pi$
$29$	−0.914515	+	0.417645i	−0.169821	+	0.0775547i	0.328691	+	0.944438i	$0.393393\pi$
$30$	3.45359	−	2.92636i	0.630537	−	0.534278i
$31$	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	$0.909230\pi$
$32$	0.877679	−	0.479249i	0.155153	−	0.0847201i
$33$	−0.751753	−	10.5109i	−0.130863	−	1.82971i
$34$	4.59074	+	2.95029i	0.787305	+	0.505970i
$35$	5.46501	−	1.12573i	0.923755	−	0.190284i
$36$	−0.719156	+	0.829950i	−0.119859	+	0.138325i
$37$	3.63719	+	6.66101i	0.597950	+	1.09506i	0.984926	+	0.172974i	$0.0553377\pi$
$37$	3.63719	+	6.66101i	0.597950	+	1.09506i	−0.386976	+	0.922090i	$0.626480\pi$
$38$	−0.806302	−	0.603590i	−0.130799	−	0.0979152i
$39$	−2.10069	+	1.82026i	−0.336379	+	0.291474i
$40$	−2.08632	−	0.804531i	−0.329876	−	0.127208i
$41$	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	$0.265184\pi$
$42$	−4.73305	+	1.76534i	−0.730326	+	0.272397i
$43$	−6.52353	−	8.71442i	−0.994829	−	1.32894i	−0.943899	−	0.330234i	$-0.892872\pi$
$43$	−6.52353	−	8.71442i	−0.994829	−	1.32894i	−0.0509297	−	0.998702i	$-0.516218\pi$
$44$	−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	−0.808806	−	0.588076i	$-0.799886\pi$
$47$	−1.51324	+	1.51324i	−0.220729	+	0.220729i	0.588076	+	0.808806i	$0.299886\pi$
$48$	1.97813	+	0.430316i	0.285519	+	0.0621108i
$49$	0.765416	+	0.110050i	0.109345	+	0.0157215i
$50$	1.64336	+	4.72222i	0.232406	+	0.667823i
$51$	3.11235	+	10.5997i	0.435816	+	1.48425i
$52$	1.28648	+	0.479834i	0.178403	+	0.0665410i
$53$	4.04812	+	0.289527i	0.556052	+	0.0397697i	0.346538	−	0.938036i	$-0.387357\pi$
$53$	4.04812	+	0.289527i	0.556052	+	0.0397697i	0.209514	+	0.977806i	$0.432812\pi$
$54$	3.81085	−	0.547917i	0.518591	−	0.0745621i
$55$	11.1311	+	3.40246i	1.50092	+	0.458788i
$56$	1.88585	+	1.63410i	0.252007	+	0.218366i
$57$	−0.433413	−	1.99237i	−0.0574070	−	0.263896i
$58$	0.213706	+	0.982392i	0.0280610	+	0.128994i
$59$	4.89177	+	4.23875i	0.636855	+	0.551838i	0.912322	−	0.409473i	$-0.134287\pi$
$59$	4.89177	+	4.23875i	0.636855	+	0.551838i	−0.275468	+	0.961310i	$0.588833\pi$
$60$	−2.12537	−	3.99671i	−0.274384	−	0.515973i
$61$	−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	$0.646244\pi$
$62$	1.57592	+	0.112712i	0.200142	+	0.0143145i
$63$	−2.56756	−	0.957649i	−0.323482	−	0.120652i
$64$	−0.281733	−	0.959493i	−0.0352166	−	0.119937i
$65$	−1.04108	−	2.88835i	−0.129131	−	0.358255i
$66$	−10.4305	−	1.49967i	−1.28390	−	0.184597i
$67$	−15.3817	−	3.34608i	−1.87917	−	0.408789i	−0.881219	−	0.472709i	$-0.843276\pi$
$67$	−15.3817	−	3.34608i	−1.87917	−	0.408789i	−0.997955	+	0.0639198i	$0.979640\pi$
$68$	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	$0.222723\pi$
$72$	0.658116	+	0.879140i	0.0775597	+	0.103608i
$73$	−1.41615	+	0.528197i	−0.165748	+	0.0618208i	−0.430968	−	0.902367i	$-0.641828\pi$
$73$	−1.41615	+	0.528197i	−0.165748	+	0.0618208i	0.265221	+	0.964188i	$0.414555\pi$
$74$	7.28193	−	2.13817i	0.846507	−	0.248557i
$75$	−3.74601	+	9.40330i	−0.432552	+	1.08580i
$76$	−0.761188	+	0.659573i	−0.0873142	+	0.0756582i
$77$	−10.3983	−	7.78411i	−1.18500	−	0.887081i
$78$	1.33213	+	2.43960i	0.150833	+	0.276231i
$79$	−7.48523	+	8.63842i	−0.842154	+	0.971898i	−0.999879	−	0.0155854i	$-0.995039\pi$
$79$	−7.48523	+	8.63842i	−0.842154	+	0.971898i	0.157724	+	0.987483i	$0.449584\pi$
$80$	−1.22962	+	1.86763i	−0.137476	+	0.208807i
$81$	9.32828	+	5.99492i	1.03648	+	0.666102i
$82$	−0.399102	−	5.58018i	−0.0440735	−	0.616228i
$83$	10.4602	−	5.71168i	1.14815	−	0.626939i	0.211562	−	0.977365i	$-0.432145\pi$
$83$	10.4602	−	5.71168i	1.14815	−	0.626939i	0.936590	+	0.350426i	$0.113963\pi$
$84$	0.718911	+	5.00014i	0.0784396	+	0.545560i
$85$	−12.1608	−	1.00495i	−1.31903	−	0.109002i
$86$	−9.90194	+	4.52206i	−1.06775	+	0.487627i
$87$	−0.975398	+	1.78631i	−0.104574	+	0.191512i
$88$	1.81909	+	4.87717i	0.193916	+	0.519908i
$89$	2.03182	−	14.1316i	0.215372	−	1.49795i	−0.539450	−	0.842018i	$-0.681368\pi$
$89$	2.03182	−	14.1316i	0.215372	−	1.49795i	0.754822	−	0.655929i	$-0.227723\pi$
$90$	0.548462	−	2.39358i	0.0578130	−	0.252305i
$91$			3.42624i			0.359167i
$92$	4.54507	−	1.53046i	0.473856	−	0.159562i
$93$	2.26164	+	2.26164i	0.234521	+	0.234521i
$94$	1.15700	+	1.80032i	0.119335	+	0.185689i
$95$	2.22556	+	0.345132i	0.228337	+	0.0354098i
$96$	0.840965	−	1.84146i	0.0858306	−	0.187943i
$97$	5.90815	+	3.22609i	0.599881	+	0.327560i	0.750336	−	0.661057i	$-0.229892\pi$
$97$	5.90815	+	3.22609i	0.599881	+	0.327560i	−0.150454	+	0.988617i	$0.548074\pi$
$98$	0.270236	−	0.724531i	0.0272980	−	0.0731887i
$99$	−3.74347	−	4.32019i	−0.376233	−	0.434196i
$100$	4.96362	−	0.602020i	0.496362	−	0.0602020i
$101$	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	$0.553671\pi$
$102$	11.0190	−	0.788096i	1.09105	−	0.0780331i
$103$	−19.0849	+	4.15167i	−1.88050	+	0.409077i	−0.998110	−	0.0614513i	$-0.980427\pi$
$103$	−19.0849	+	4.15167i	−1.88050	+	0.409077i	−0.882385	+	0.470528i	$0.844063\pi$
$104$	0.742330	−	1.15509i	0.0727914	−	0.113266i
$105$	7.49095	−	8.45439i	0.731041	−	0.825064i
$106$	1.14340	−	3.89407i	0.111057	−	0.378225i
$107$	3.15285	−	4.21172i	0.304798	−	0.407162i	−0.621824	−	0.783157i	$-0.713608\pi$
$107$	3.15285	−	4.21172i	0.304798	−	0.407162i	0.926622	+	0.375995i	$0.122699\pi$
$108$	0.274658	−	3.84023i	0.0264290	−	0.369526i
$109$	−5.07414	−	11.1108i	−0.486014	−	1.06422i	−0.980766	−	0.195189i	$-0.937468\pi$
$109$	−5.07414	−	11.1108i	−0.486014	−	1.06422i	0.494751	−	0.869035i	$-0.335259\pi$
$110$	5.69080	−	10.1535i	0.542596	−	0.968100i
$111$	13.9755	+	6.38238i	1.32649	+	0.605788i
$112$	1.99762	−	1.49540i	0.188757	−	0.141302i
$113$	1.97452	−	9.07670i	0.185747	−	0.853864i	−0.786072	−	0.618135i	$-0.787888\pi$
$113$	1.97452	−	9.07670i	0.185747	−	0.853864i	0.971819	−	0.235729i	$-0.0757479\pi$
$114$	−2.03896			−0.190966
$115$	−9.18107	−	5.54147i	−0.856139	−	0.516745i
$116$	1.00537			0.0933461
$117$	−0.320520	+	1.47341i	−0.0296321	+	0.136216i
$118$	5.18170	−	3.87897i	0.477014	−	0.357088i
$119$	12.3866	+	5.65675i	1.13547	+	0.518553i
$120$	−4.35715	+	1.22724i	−0.397752	+	0.112031i
$121$	−6.68645	−	14.6413i	−0.607859	−	1.33103i
$122$	−0.631268	+	8.82628i	−0.0571523	+	0.799094i
$123$	6.78703	−	9.06641i	0.611966	−	0.817491i
$124$	0.445123	−	1.51595i	0.0399732	−	0.136136i
$125$	−8.20220	−	7.59763i	−0.733627	−	0.679553i
$126$	−1.48154	+	2.30532i	−0.131986	+	0.205374i
$127$	13.0322	−	2.83499i	1.15642	−	0.251564i	0.406855	−	0.913493i	$-0.366625\pi$
$127$	13.0322	−	2.83499i	1.15642	−	0.251564i	0.749567	+	0.661928i	$0.230262\pi$
$128$	−0.997452	+	0.0713392i	−0.0881631	+	0.00630555i
$129$	−21.1442	−	6.20851i	−1.86165	−	0.546629i
$130$	−3.04364	+	0.403330i	−0.266945	+	0.0353744i
$131$	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	$0.740570\pi$
$132$	−3.68256	+	9.87332i	−0.320525	+	0.859362i
$133$	−2.20587	−	1.20449i	−0.191273	−	0.104443i
$134$	−6.53923	+	14.3189i	−0.564903	+	1.23697i
$135$	−6.94841	+	5.08267i	−0.598023	+	0.437446i
$136$	−2.95029	−	4.59074i	−0.252985	−	0.393652i
$137$	−12.1278	−	12.1278i	−1.03615	−	1.03615i	−0.999322	−	0.0368249i	$-0.988276\pi$
$137$	−12.1278	−	12.1278i	−1.03615	−	1.03615i	−0.0368249	−	0.999322i	$-0.511724\pi$
$138$	8.98261	+	3.68388i	0.764650	+	0.313593i
$139$		−	5.26770i		−	0.446801i	−0.974727	−	0.223400i	$-0.928284\pi$
$139$		−	5.26770i		−	0.446801i	0.974727	−	0.223400i	$-0.0717157\pi$
$140$	−5.43879	−	1.24624i	−0.459662	−	0.105327i
$141$	−0.616552	+	4.28821i	−0.0519230	+	0.361133i
$142$	−1.73980	−	4.66457i	−0.146000	−	0.391442i
$143$	−3.42532	+	6.27300i	−0.286439	+	0.524574i
$144$	0.998941	−	0.456201i	0.0832451	−	0.0380168i
$145$	−1.45331	−	1.71514i	−0.120691	−	0.142435i
$146$	0.215101	+	1.49606i	0.0178019	+	0.123815i
$147$	1.37395	−	0.750235i	0.113322	−	0.0618783i
$148$	−0.541418	−	7.57001i	−0.0445043	−	0.622251i
$149$	−2.32629	−	1.49501i	−0.190577	−	0.122476i	0.441873	−	0.897078i	$-0.354314\pi$
$149$	−2.32629	−	1.49501i	−0.190577	−	0.122476i	−0.632450	+	0.774601i	$0.717951\pi$
$150$	8.39213	+	5.65921i	0.685214	+	0.462073i
$151$	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	$0.0358975\pi$
$152$	0.482698	+	0.883995i	0.0391520	+	0.0717014i
$153$	4.79748	+	3.59135i	0.387853	+	0.290343i
$154$	−9.81654	+	8.50608i	−0.791040	+	0.685440i
$155$	−3.22963	+	1.43200i	−0.259410	+	0.115021i
$156$	2.66702	−	0.783106i	0.213532	−	0.0626987i
$157$	7.60557	−	2.83673i	0.606990	−	0.226396i	−0.0271276	−	0.999632i	$-0.508636\pi$
$157$	7.60557	−	2.83673i	0.606990	−	0.226396i	0.634118	+	0.773236i	$0.281363\pi$
$158$	6.84990	+	9.15040i	0.544949	+	0.727966i
$159$	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
$163$	−2.23048	−	0.485212i	−0.174705	−	0.0380048i	0.124362	−	0.992237i	$-0.460312\pi$
$163$	−2.23048	−	0.485212i	−0.174705	−	0.0380048i	−0.299067	+	0.954232i	$0.596675\pi$
$164$	−5.53749	−	0.796171i	−0.432405	−	0.0621705i
$165$	22.1671	−	7.98996i	1.72570	−	0.622018i
$166$	−3.35768	−	11.4352i	−0.260607	−	0.887545i
$167$	−17.5675	−	6.55236i	−1.35942	−	0.507037i	−0.439181	−	0.898399i	$-0.644731\pi$
$167$	−17.5675	−	6.55236i	−1.35942	−	0.507037i	−0.920237	+	0.391362i	$0.872004\pi$
$168$	5.03868	+	0.360374i	0.388743	+	0.0278034i
$169$	−11.0016	+	1.58179i	−0.846276	+	0.121676i
$170$	−3.56695	+	11.6693i	−0.273573	+	0.894993i
$171$	−0.835923	−	0.724331i	−0.0639246	−	0.0553910i
$172$	2.31391	+	10.6369i	0.176434	+	0.811055i
$173$	3.81786	+	17.5504i	0.290266	+	1.33433i	0.859069	+	0.511859i	$0.171043\pi$
$173$	3.81786	+	17.5504i	0.290266	+	1.33433i	−0.568803	+	0.822474i	$0.692593\pi$
$174$	1.53815	+	1.33281i	0.116607	+	0.101040i
$175$	5.73596	+	11.0800i	0.433598	+	0.837570i
$176$	5.15238	−	0.740801i	0.388375	−	0.0558400i
$177$	13.0700	+	0.934786i	0.982403	+	0.0702628i
$178$	−13.3768	−	4.98927i	−1.00263	−	0.373962i
$179$	5.54509	+	18.8848i	0.414460	+	1.41152i	0.857253	+	0.514896i	$0.172169\pi$
$179$	5.54509	+	18.8848i	0.414460	+	1.41152i	−0.442793	+	0.896624i	$0.646012\pi$
$180$	−2.22229	−	1.04472i	−0.165640	−	0.0778688i
$181$	−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	$0.618821\pi$
$182$	3.34794	+	0.728299i	0.248166	+	0.0539851i
$183$	−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
$187$	17.0229	+	22.7400i	1.24484	+	1.66291i
$188$	2.00512	−	0.747871i	0.146238	−	0.0545441i
$189$	9.21798	−	2.70664i	0.670510	−	0.196879i
$190$	0.810320	−	2.10133i	0.0587868	−	0.152447i
$191$	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	$0.157161\pi$
$192$	−1.62061	−	1.21318i	−0.116958	−	0.0875534i
$193$	−2.88760	−	5.28825i	−0.207854	−	0.380656i	0.752867	−	0.658173i	$-0.228670\pi$
$193$	−2.88760	−	5.28825i	−0.207854	−	0.380656i	−0.960721	+	0.277517i	$0.910489\pi$
$194$	4.40823	−	5.08737i	0.316493	−	0.365252i
$195$	−5.19127	−	3.41788i	−0.371755	−	0.244759i
$196$	−0.650530	−	0.418070i	−0.0464664	−	0.0298622i
$197$	1.59257	+	22.2671i	0.113466	+	1.58646i	0.661460	+	0.749980i	$0.269937\pi$
$197$	1.59257	+	22.2671i	0.113466	+	1.58646i	−0.547994	+	0.836482i	$0.684608\pi$
$198$	−5.01720	+	2.73960i	−0.356557	+	0.194695i
$199$	−0.128281	−	0.892214i	−0.00909360	−	0.0632474i	0.984769	−	0.173866i	$-0.0556259\pi$
$199$	−0.128281	−	0.892214i	−0.00909360	−	0.0632474i	−0.993863	+	0.110618i	$0.964717\pi$
$200$	0.466832	−	4.97816i	0.0330100	−	0.352009i
$201$	−28.9872	+	13.2380i	−2.04460	+	0.933736i
$202$	1.12434	−	2.05907i	0.0791080	−	0.144875i
$203$	0.876712	+	2.35056i	0.0615332	+	0.164977i
$204$	1.57218	−	10.9347i	0.110074	−	0.765584i
$205$	6.64645	+	10.5978i	0.464208	+	0.740182i
$206$			19.5313i			1.36081i
$207$	2.37396	+	4.70132i	0.165002	+	0.326764i
$208$	−0.970897	−	0.970897i	−0.0673196	−	0.0673196i
$209$	−2.83448	−	4.41054i	−0.196065	−	0.305084i
$210$	−6.66887	−	9.11686i	−0.460196	−	0.629123i
$211$	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	$-0.159643\pi$
$212$	−3.56203	−	1.94501i	−0.244641	−	0.133584i
$213$	3.52204	−	9.44295i	0.241326	−	0.647020i
$214$	−3.44528	−	3.97607i	−0.235515	−	0.271798i
$215$	14.8015	−	19.3236i	1.00945	−	1.31786i
$216$	−3.69408	−	1.08468i	−0.251350	−	0.0738031i
$217$	3.93246	−	0.281255i	0.266953	−	0.0190928i
$218$	−11.9355	+	2.59641i	−0.808373	+	0.175851i
$219$	−1.65424	+	2.57404i	−0.111783	+	0.173938i
$220$	−8.71181	−	7.71903i	−0.587350	−	0.520417i
$221$	2.11096	−	7.18928i	0.141999	−	0.483603i
$222$	9.20722	−	12.2994i	0.617948	−	0.825482i
$223$	−1.76215	+	24.6380i	−0.118002	+	1.64988i	0.501697	+	0.865044i	$0.332709\pi$
$223$	−1.76215	+	24.6380i	−0.118002	+	1.64988i	−0.619699	+	0.784840i	$0.712745\pi$
$224$	−1.03660	−	2.26984i	−0.0692608	−	0.151660i
$225$	1.43015	+	5.30139i	0.0953434	+	0.353426i
$226$	−8.44956	−	3.85878i	−0.562056	−	0.256682i
$227$	2.48226	−	1.85820i	0.164753	−	0.123333i	−0.513720	−	0.857958i	$-0.671733\pi$
$227$	2.48226	−	1.85820i	0.164753	−	0.123333i	0.678473	+	0.734625i	$0.262642\pi$
$228$	−0.433413	+	1.99237i	−0.0287035	+	0.131948i
$229$	29.3674			1.94065			0.970327	−	0.241798i	$-0.0777372\pi$
$229$	29.3674			1.94065			0.970327	+	0.241798i	$0.0777372\pi$
$230$	−7.36641	+	7.79333i	−0.485727	+	0.513877i
$231$	−26.2952			−1.73010
$232$	0.213706	−	0.982392i	0.0140305	−	0.0644972i
$233$	−16.5577	+	12.3950i	−1.08473	+	0.812022i	−0.983149	−	0.182805i	$-0.941482\pi$
$233$	−16.5577	+	12.3950i	−1.08473	+	0.812022i	−0.101585	+	0.994827i	$0.532391\pi$
$234$	1.37160	+	0.626390i	0.0896644	+	0.0409484i
$235$	−4.17435	−	2.33962i	−0.272305	−	0.152620i
$236$	−2.68888	−	5.88782i	−0.175031	−	0.383264i
$237$	−1.65074	+	23.0804i	−0.107227	+	1.49923i
$238$	8.16043	−	10.9011i	0.528962	−	0.706610i
$239$	1.42626	−	4.85741i	0.0922574	−	0.314200i	−0.900416	−	0.435030i	$-0.856738\pi$
$239$	1.42626	−	4.85741i	0.0922574	−	0.314200i	0.992673	+	0.120831i	$0.0385558\pi$
$240$	0.273013	+	4.51845i	0.0176229	+	0.291665i
$241$	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	$0.109264\pi$
$242$	−15.7280	+	3.42142i	−1.01103	+	0.219937i
$243$	10.8697	−	0.777419i	0.697294	−	0.0498714i
$244$	8.49038	+	2.49300i	0.543541	+	0.159598i
$245$	0.227150	+	1.71414i	0.0145121	+	0.109512i
$246$	−7.41653	−	8.55913i	−0.472861	−	0.545710i
$247$	−0.483287	+	1.29574i	−0.0307508	+	0.0824461i
$248$	−1.38669	−	0.757188i	−0.0880547	−	0.0480815i
$249$	10.0226	−	21.9464i	0.635157	−	1.39080i
$250$	−9.16750	+	6.39976i	−0.579804	+	0.404756i
$251$	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
$253$	4.51855	+	24.5517i	0.284079	+	1.54355i
$254$		−	13.3370i		−	0.836838i
$255$	−20.9271	+	13.1246i	−1.31051	+	0.821892i
$256$	−0.142315	+	0.989821i	−0.00889468	+	0.0618638i
$257$	−6.04363	−	16.2036i	−0.376991	−	1.01075i	−0.977463	−	0.211106i	$-0.932293\pi$
$257$	−6.04363	−	16.2036i	−0.376991	−	1.01075i	0.600472	−	0.799646i	$-0.294979\pi$
$258$	−10.5612	+	19.3413i	−0.657509	+	1.20414i
$259$	17.2266	−	7.86713i	1.07041	−	0.488840i
$260$	−0.252859	+	3.05982i	−0.0156816	+	0.189762i
$261$	0.157126	+	1.09284i	0.00972589	+	0.0676450i
$262$	2.02627	−	1.10643i	0.125184	−	0.0683554i
$263$	−1.39397	−	19.4902i	−0.0859556	−	1.20182i	−0.839106	−	0.543968i	$-0.816921\pi$
$263$	−1.39397	−	19.4902i	−0.0859556	−	1.20182i	0.753151	−	0.657848i	$-0.228533\pi$
$264$	8.86490	+	5.69712i	0.545597	+	0.350634i
$265$	1.83091	+	8.88838i	0.112472	+	0.546009i
$266$	−1.64586	+	1.89942i	−0.100914	+	0.116461i
$267$	−13.8513	−	25.3668i	−0.847687	−	1.55242i
$268$	12.6017	+	9.43349i	0.769770	+	0.576242i
$269$	13.1182	−	11.3670i	0.799829	−	0.693055i	−0.155749	−	0.987797i	$-0.549779\pi$
$269$	13.1182	−	11.3670i	0.799829	−	0.693055i	0.955577	+	0.294741i	$0.0952335\pi$
$270$	3.48952	+	7.87001i	0.212366	+	0.478954i
$271$	−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	$0.481317\pi$
$272$	−5.11295	+	1.90703i	−0.310018	+	0.115631i
$273$	4.15663	+	5.55261i	0.251571	+	0.336059i
$274$	−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	−0.687925	−	0.725781i	$-0.741478\pi$
$277$	0.630049	−	0.630049i	0.0378560	−	0.0378560i	0.725781	+	0.687925i	$0.241478\pi$
$278$	−5.14732	−	1.11973i	−0.308716	−	0.0671570i
$279$	1.71741	+	0.246926i	0.102819	+	0.0147831i
$280$	−2.37386	+	5.04959i	−0.141865	+	0.301771i
$281$	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	$0.701556\pi$
$282$	4.05916	+	1.51399i	0.241719	+	0.0901566i
$283$	1.49886	+	0.107201i	0.0890983	+	0.00637243i	0.115817	−	0.993271i	$-0.463051\pi$
$283$	1.49886	+	0.107201i	0.0890983	+	0.00637243i	−0.0267189	+	0.999643i	$0.508506\pi$
$284$	−4.92779	+	0.708510i	−0.292411	+	0.0420423i
$285$	4.02547	−	2.14067i	0.238448	−	0.126802i
$286$	5.40154	+	4.68046i	0.319400	+	0.276761i
$287$	−2.96741	−	13.6410i	−0.175161	−	0.805201i
$288$	−0.233435	−	1.07308i	−0.0137553	−	0.0632321i
$289$	−9.65776	−	8.36849i	−0.568103	−	0.492264i
$290$	−1.98487	+	1.05552i	−0.116556	+	0.0619820i
$291$	13.4886	−	1.93937i	0.790718	−	0.113688i
$292$	1.50760	+	0.107825i	0.0882254	+	0.00631001i
$293$	19.6920	+	7.34474i	1.15042	+	0.429084i	0.851067	−	0.525058i	$-0.175956\pi$
$293$	19.6920	+	7.34474i	1.15042	+	0.429084i	0.299353	+	0.954142i	$0.403229\pi$
$294$	−0.441035	−	1.50203i	−0.0257217	−	0.0876000i
$295$	−6.15764	+	13.0983i	−0.358511	+	0.762613i
$296$	−7.51210	−	1.08008i	−0.436632	−	0.0627782i
$297$	19.5828	+	4.25999i	1.13631	+	0.247190i
$298$	−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
$302$	−8.33097	−	11.1289i	−0.479393	−	0.640395i
$303$	4.44986	−	1.65971i	0.255638	−	0.0953481i
$304$	0.966397	−	0.283760i	0.0554267	−	0.0162747i
$305$	−8.02023	−	18.0882i	−0.459237	−	1.03573i
$306$	4.52905	−	3.92445i	0.258909	−	0.224346i
$307$	−8.74557	−	6.54686i	−0.499136	−	0.373649i	0.319844	−	0.947470i	$-0.396369\pi$
$307$	−8.74557	−	6.54686i	−0.499136	−	0.373649i	−0.818980	+	0.573821i	$0.805460\pi$
$308$	6.22504	+	11.4003i	0.354704	+	0.649593i
$309$	−25.8926	+	29.8816i	−1.47298	+	1.69991i
$310$	0.712769	+	3.46022i	0.0404826	+	0.196527i
$311$	−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	$0.749411\pi$
$312$	−0.198295	−	2.77253i	−0.0112262	−	0.156963i
$313$	17.2240	−	9.40504i	0.973561	−	0.531604i	0.0879961	−	0.996121i	$-0.471954\pi$
$313$	17.2240	−	9.40504i	0.973561	−	0.531604i	0.885564	+	0.464517i	$0.153772\pi$
$314$	−1.15522	−	8.03475i	−0.0651930	−	0.453427i
$315$	0.504654	−	6.10676i	0.0284340	−	0.344077i
$316$	10.3973	−	4.74830i	0.584896	−	0.267113i
$317$	−4.83426	+	8.85328i	−0.271519	+	0.497250i	−0.977487	−	0.210993i	$-0.932330\pi$
$317$	−4.83426	+	8.85328i	−0.271519	+	0.497250i	0.705969	+	0.708243i	$0.250512\pi$
$318$	−2.87118	−	7.69792i	−0.161008	−	0.431678i
$319$	−0.744778	+	5.18004i	−0.0416995	+	0.290027i
$320$	1.89435	−	1.18805i	0.105897	−	0.0664139i
$321$		−	10.6505i		−	0.594455i
$322$	10.6825	−	5.39422i	0.595315	−	0.300608i
$323$	3.88646	+	3.88646i	0.216249	+	0.216249i
$324$	−5.99492	−	9.32828i	−0.333051	−	0.518238i
$325$	5.58552	−	3.99174i	0.309829	−	0.221422i
$326$	−0.948247	+	2.07637i	−0.0525186	+	0.115000i
$327$	−21.7026	−	11.8505i	−1.20016	−	0.655335i
$328$	−1.95505	+	5.24170i	−0.107950	+	0.289425i
$329$	3.49705	+	4.03582i	0.192799	+	0.222502i
$330$	−3.09542	−	23.3589i	−0.170397	−	1.28586i
$331$	−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	$0.653647\pi$
$332$	−11.8876	+	0.850219i	−0.652418	+	0.0466618i
$333$	8.14402	−	1.77162i	0.446289	−	0.0970843i
$334$	−10.1369	+	15.7733i	−0.554665	+	0.863075i
$335$	−2.12291	−	35.1349i	−0.115987	−	1.91962i
$336$	1.42319	−	4.84693i	0.0776412	−	0.264422i
$337$	15.2950	−	20.4317i	0.833172	−	1.11299i	−0.158897	−	0.987295i	$-0.550794\pi$
$337$	15.2950	−	20.4317i	0.833172	−	1.11299i	0.992069	−	0.125692i	$-0.0401152\pi$
$338$	−0.792915	+	11.0864i	−0.0431289	+	0.603021i
$339$	−7.81171	−	17.1053i	−0.424274	−	0.929030i
$340$	10.6444	+	5.96592i	0.577273	+	0.323547i
$341$	7.48100	+	3.41646i	0.405119	+	0.185012i
$342$	−0.885466	+	0.662851i	−0.0478805	+	0.0358429i
$343$	4.12312	−	18.9537i	0.222628	−	1.02340i
$344$	10.8857			0.586915
$345$	−21.6017	+	2.15767i	−1.16300	+	0.116165i
$346$	17.9609			0.965583
$347$	0.661494	−	3.04084i	0.0355108	−	0.163241i	−0.955977	−	0.293443i	$-0.905199\pi$
$347$	0.661494	−	3.04084i	0.0355108	−	0.163241i	0.991487	+	0.130202i	$0.0415626\pi$
$348$	1.62931	−	1.21969i	0.0873403	−	0.0653821i
$349$	−15.9010	−	7.26173i	−0.851159	−	0.388711i	−0.0584344	−	0.998291i	$-0.518611\pi$
$349$	−15.9010	−	7.26173i	−0.851159	−	0.388711i	−0.792725	+	0.609580i	$0.791338\pi$
$350$	12.0461	−	3.24965i	0.643889	−	0.173701i
$351$	−2.19601	−	4.80860i	−0.117215	−	0.256664i
$352$	0.371347	−	5.19210i	0.0197928	−	0.276740i
$353$	1.01151	−	1.35122i	0.0538373	−	0.0719182i	−0.772815	−	0.634632i	$-0.781152\pi$
$353$	1.01151	−	1.35122i	0.0538373	−	0.0719182i	0.826652	+	0.562714i	$0.190243\pi$
$354$	3.69166	−	12.5726i	0.196209	−	0.668227i
$355$	8.33207	+	7.38256i	0.442220	+	0.391826i
$356$	−7.71869	+	12.0105i	−0.409090	+	0.636556i
$357$	26.9364	−	5.85966i	1.42563	−	0.310126i
$358$	19.6320	−	1.40411i	1.03758	−	0.0742093i
$359$	25.8345	+	7.58569i	1.36349	+	0.400358i	0.879993	−	0.474987i	$-0.157547\pi$
$359$	25.8345	+	7.58569i	1.36349	+	0.400358i	0.483500	+	0.875344i	$0.339365\pi$
$360$	−1.49323	+	1.94943i	−0.0786999	+	0.102744i
$361$	11.7780	+	13.5926i	0.619897	+	0.715399i
$362$	−2.14818	+	5.75948i	−0.112906	+	0.302712i
$363$	−28.5986	−	15.6160i	−1.50104	−	0.819628i
$364$	1.42331	−	3.11662i	0.0746018	−	0.163355i
$365$	−1.99536	−	2.72781i	−0.104442	−	0.142780i
$366$	9.68478	+	15.0698i	0.506232	+	0.787712i
$367$	−1.69302	−	1.69302i	−0.0883751	−	0.0883751i	0.661537	−	0.749912i	$-0.269904\pi$
$367$	−1.69302	−	1.69302i	−0.0883751	−	0.0883751i	−0.749912	+	0.661537i	$0.769904\pi$
$368$	−4.77012	−	0.495932i	−0.248660	−	0.0258522i
$369$		−	6.14370i		−	0.319828i
$370$	9.01651	+	14.3769i	0.468746	+	0.747417i
$371$	1.44126	−	10.0242i	0.0748263	−	0.520428i
$372$	−1.11774	−	2.99678i	−0.0579521	−	0.155376i
$373$	−5.74650	+	10.5239i	−0.297542	+	0.544908i	−0.983091	−	0.183119i	$-0.941381\pi$
$373$	−5.74650	+	10.5239i	−0.297542	+	0.544908i	0.685548	+	0.728027i	$0.259563\pi$
$374$	25.8388	−	11.8002i	1.33609	−	0.610173i
$375$	−22.5098	−	2.36211i	−1.16240	−	0.121979i
$376$	−0.304561	−	2.11827i	−0.0157065	−	0.109241i
$377$	1.21157	−	0.661568i	0.0623991	−	0.0340725i
$378$	−0.685365	−	9.58266i	−0.0352514	−	0.492879i
$379$	3.52158	+	2.26318i	0.180892	+	0.116252i	0.627953	−	0.778251i	$-0.283893\pi$
$379$	3.52158	+	2.26318i	0.180892	+	0.116252i	−0.447061	+	0.894503i	$0.647529\pi$
$380$	−1.88106	−	1.23847i	−0.0964966	−	0.0635323i
$381$	17.6808	−	20.4048i	0.905817	−	1.04537i
$382$	−4.70441	−	8.61548i	−0.240698	−	0.440806i
$383$	13.1213	+	9.82247i	0.670466	+	0.501905i	0.879436	−	0.476018i	$-0.157920\pi$
$383$	13.1213	+	9.82247i	0.670466	+	0.501905i	−0.208970	+	0.977922i	$0.567011\pi$
$384$	−1.52994	+	1.32570i	−0.0780743	+	0.0676517i
$385$	10.4502	−	27.0995i	0.532590	−	1.38112i
$386$	−5.78120	+	1.69751i	−0.294255	+	0.0864011i
$387$	−11.2007	+	4.17764i	−0.569363	+	0.212362i
$388$	−4.03407	−	5.38889i	−0.204799	−	0.273579i
$389$	−9.25805	+	5.94979i	−0.469402	+	0.301666i	−0.753875	−	0.657018i	$-0.771818\pi$
$389$	−9.25805	+	5.94979i	−0.469402	+	0.301666i	0.284473	+	0.958684i	$0.408181\pi$
$390$	−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
$393$	4.56686	+	0.993460i	0.230368	+	0.0501134i
$394$	22.0967	+	3.17703i	1.11322	+	0.160056i
$395$	−23.1304	−	10.8738i	−1.16382	−	0.547121i
$396$	1.61051	+	5.48488i	0.0809310	+	0.275626i
$397$	5.81875	+	2.17028i	0.292035	+	0.108923i	0.491212	−	0.871040i	$-0.336554\pi$
$397$	5.81875	+	2.17028i	0.292035	+	0.108923i	−0.199177	+	0.979964i	$0.563827\pi$
$398$	−0.899093	−	0.0643044i	−0.0450674	−	0.00322329i
$399$	−5.03612	+	0.724084i	−0.252121	+	0.0362496i
$400$	−4.76516	−	1.51435i	−0.238258	−	0.0757174i
$401$	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	$0.554877\pi$
$402$	6.77380	+	31.1387i	0.337846	+	1.55306i
$403$	−0.461130	−	2.11978i	−0.0229705	−	0.105594i
$404$	−1.77302	−	1.53633i	−0.0882109	−	0.0764352i
$405$	−7.24797	+	23.7117i	−0.360154	+	1.17824i
$406$	2.48320	−	0.357030i	0.123239	−	0.0177191i
$407$	39.4047	+	2.81828i	1.95322	+	0.139697i
$408$	−10.3506	−	3.86059i	−0.512433	−	0.191128i
$409$	2.07306	+	7.06020i	0.102506	+	0.349104i	0.994735	−	0.102479i	$-0.0326775\pi$
$409$	2.07306	+	7.06020i	0.102506	+	0.349104i	−0.892229	+	0.451584i	$0.850859\pi$
$410$	11.7684	−	4.24184i	0.581200	−	0.209489i
$411$	−34.3676	−	4.94131i	−1.69523	−	0.243737i
$412$	19.0849	+	4.15167i	0.940248	+	0.204538i
$413$	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
$417$	−6.39065	−	8.53691i	−0.312951	−	0.418054i
$418$	−4.91226	+	1.83218i	−0.240267	+	0.0896148i
$419$	8.86926	−	2.60425i	0.433292	−	0.127226i	−0.0578111	−	0.998328i	$-0.518412\pi$
$419$	8.86926	−	2.60425i	0.433292	−	0.127226i	0.491103	+	0.871102i	$0.336594\pi$
$420$	−10.3261	+	4.57853i	−0.503861	+	0.223410i
$421$	−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	$0.946508\pi$
$422$	−18.6424	−	13.9555i	−0.907498	−	0.679344i
$423$	1.12631	+	2.06269i	0.0547632	+	0.100291i
$424$	−2.65773	+	3.06718i	−0.129071	+	0.148956i
$425$	−5.20920	−	26.7832i	−0.252683	−	1.29918i
$426$	−8.47848	−	5.44879i	−0.410784	−	0.263995i
$427$	1.57523	+	22.0245i	0.0762306	+	1.06584i
$428$	−4.61755	+	2.52137i	−0.223198	+	0.121875i
$429$	2.05914	+	14.3216i	0.0994161	+	0.691454i
$430$	−15.7357	−	18.5708i	−0.758845	−	0.895563i
$431$	−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	$0.700590\pi$
$432$	−1.84513	+	3.37909i	−0.0887736	+	0.162577i
$433$	4.24002	+	11.3679i	0.203762	+	0.546307i	0.998130	−	0.0611298i	$-0.0194704\pi$
$433$	4.24002	+	11.3679i	0.203762	+	0.546307i	−0.794368	+	0.607437i	$0.792198\pi$
$434$	0.561077	−	3.90237i	0.0269325	−	0.187320i
$435$	−4.43602	−	1.01647i	−0.212691	−	0.0487359i
$436$			12.2146i			0.584975i
$437$	1.54148	+	4.57778i	0.0737389	+	0.218985i
$438$	2.16358	+	2.16358i	0.103380	+	0.103380i
$439$	1.01805	+	1.58411i	0.0485888	+	0.0756056i	0.864698	−	0.502292i	$-0.167510\pi$
$439$	1.01805	+	1.58411i	0.0485888	+	0.0756056i	−0.816109	+	0.577897i	$0.803873\pi$
$440$	−9.39446	+	6.87192i	−0.447863	+	0.327606i
$441$	0.352774	−	0.772468i	0.0167988	−	0.0367842i
$442$	−6.57626	−	3.59091i	−0.312801	−	0.170802i
$443$	−9.77891	+	26.2183i	−0.464610	+	1.24567i	0.467661	+	0.883908i	$0.345097\pi$
$443$	−9.77891	+	26.2183i	−0.464610	+	1.24567i	−0.932271	+	0.361760i	$0.882176\pi$
$444$	−10.0612	−	11.6112i	−0.477483	−	0.551045i
$445$	31.6475	−	4.19380i	1.50024	−	0.198805i
$446$	23.7004	+	6.95906i	1.12225	+	0.329521i
$447$	−5.58372	+	0.399356i	−0.264101	+	0.0188889i
$448$	−2.43831	+	0.530422i	−0.115199	+	0.0250601i
$449$	−20.8850	+	32.4978i	−0.985626	+	1.53366i	−0.146871	+	0.989156i	$0.546920\pi$
$449$	−20.8850	+	32.4978i	−0.985626	+	1.53366i	−0.838755	+	0.544509i	$0.816716\pi$
$450$	5.48424	−	0.270576i	0.258529	−	0.0127551i
$451$	8.20436	−	27.9415i	0.386328	−	1.31571i
$452$	−5.56668	+	7.43622i	−0.261835	+	0.349770i
$453$	2.00766	−	28.0708i	0.0943283	−	1.31888i
$454$	−1.28809	−	2.82052i	−0.0604530	−	0.132374i
$455$	−7.37437	+	2.07707i	−0.345716	+	0.0973745i
$456$	1.85471	+	0.847016i	0.0868546	+	0.0396652i
$457$	−21.8488	+	16.3558i	−1.02204	+	0.765092i	−0.972316	−	0.233671i	$-0.924926\pi$
$457$	−21.8488	+	16.3558i	−1.02204	+	0.765092i	−0.0497276	+	0.998763i	$0.515835\pi$
$458$	6.24249	−	28.6963i	0.291692	−	1.34089i
$459$	−21.0097			−0.980649
$460$	6.04939	+	8.85466i	0.282054	+	0.412850i
$461$	35.2338			1.64100			0.820501	−	0.571645i	$-0.193695\pi$
$461$	35.2338			1.64100			0.820501	+	0.571645i	$0.193695\pi$
$462$	−5.58944	+	25.6943i	−0.260044	+	1.19541i
$463$	3.81665	−	2.85711i	0.177375	−	0.132781i	−0.506901	−	0.862004i	$-0.669209\pi$
$463$	3.81665	−	2.85711i	0.177375	−	0.132781i	0.684276	+	0.729223i	$0.260118\pi$
$464$	−0.914515	−	0.417645i	−0.0424553	−	0.0193887i
$465$	−3.49671	+	6.23884i	−0.162156	+	0.289319i
$466$	8.59211	+	18.8141i	0.398022	+	0.871546i
$467$	−0.834120	+	11.6625i	−0.0385985	+	0.539677i	0.940960	+	0.338518i	$0.109926\pi$
$467$	−0.834120	+	11.6625i	−0.0385985	+	0.539677i	−0.979558	+	0.201160i	$0.935529\pi$
$468$	0.903630	−	1.20711i	0.0417703	−	0.0557986i
$469$	−11.0665	+	37.6891i	−0.511004	+	1.74032i
$470$	−3.17348	+	3.58163i	−0.146382	+	0.165208i
$471$	8.88423	−	13.8241i	0.409364	−	0.636982i
$472$	−6.32482	+	1.37588i	−0.291124	+	0.0633301i
$473$	−56.5194	+	4.04235i	−2.59877	+	0.185867i
$474$	22.2021	+	6.51912i	1.01978	+	0.299433i
$475$	0.606352	+	4.99934i	0.0278213	+	0.229386i
$476$	−8.91731	−	10.2911i	−0.408724	−	0.471693i
$477$	1.55754	−	4.17592i	0.0713147	−	0.191202i
$478$	−4.44323	−	2.42619i	−0.203229	−	0.110971i
$479$	10.1479	−	22.2208i	0.463670	−	1.01530i	−0.522966	−	0.852354i	$-0.675174\pi$
$479$	10.1479	−	22.2208i	0.463670	−	1.01530i	0.986636	−	0.162942i	$-0.0520983\pi$
$480$	4.47322	+	0.693692i	0.204174	+	0.0316625i
$481$	−5.63380	−	8.76637i	−0.256879	−	0.399712i
$482$	−4.96100	−	4.96100i	−0.225967	−	0.225967i
$483$	23.4947	+	5.90902i	1.06905	+	0.268870i
$484$			16.0958i			0.731629i
$485$	−3.36193	+	14.6720i	−0.152657	+	0.666220i
$486$	1.55088	−	10.7866i	0.0703492	−	0.489289i
$487$	−5.75103	−	15.4191i	−0.260604	−	0.698707i	−0.999685	−	0.0250903i	$-0.992013\pi$
$487$	−5.75103	−	15.4191i	−0.260604	−	0.698707i	0.739081	−	0.673617i	$-0.235260\pi$
$488$	4.24079	−	7.76643i	0.191972	−	0.351570i
$489$	−4.20340	+	1.91963i	−0.190084	+	0.0868086i
$490$	1.72325	+	0.142407i	0.0778484	+	0.00643328i
$491$	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	$0.729390\pi$
$492$	−9.94002	+	5.42766i	−0.448131	+	0.244698i
$493$	−0.391389	−	5.47233i	−0.0176273	−	0.246461i
$494$	1.16340	+	0.747672i	0.0523438	+	0.0336393i
$495$	7.02907	−	10.6762i	0.315933	−	0.479858i
$496$	−1.03465	+	1.19404i	−0.0464569	+	0.0536142i
$497$	−5.95369	−	10.9034i	−0.267060	−	0.489083i
$498$	−19.3144	−	14.4586i	−0.865501	−	0.647906i
$499$	−12.6018	+	10.9195i	−0.564135	+	0.488826i	−0.889608	−	0.456726i	$-0.849022\pi$
$499$	−12.6018	+	10.9195i	−0.564135	+	0.488826i	0.325472	+	0.945552i	$0.394477\pi$
$500$	4.30481	+	10.3184i	0.192517	+	0.461451i
$501$	−36.4194	+	10.6937i	−1.62710	+	0.477759i
$502$	3.44408	−	1.28458i	0.153717	−	0.0573335i
$503$	−14.3572	−	19.1790i	−0.640156	−	0.855148i	0.356714	−	0.934214i	$-0.383897\pi$
$503$	−14.3572	−	19.1790i	−0.640156	−	0.855148i	−0.996869	+	0.0790658i	$0.974806\pi$
$504$	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
$508$	−13.0322	−	2.83499i	−0.578211	−	0.125782i
$509$	−27.7578	−	3.99096i	−1.23034	−	0.176896i	−0.503679	−	0.863891i	$-0.668021\pi$
$509$	−27.7578	−	3.99096i	−1.23034	−	0.176896i	−0.726663	+	0.686995i	$0.758930\pi$
$510$	8.37624	+	23.2387i	0.370906	+	1.02903i
$511$	1.06258	+	3.61880i	0.0470056	+	0.160086i
$512$	0.936950	+	0.349464i	0.0414077	+	0.0154443i
$513$	3.86786	+	0.276635i	0.170770	+	0.0122137i
$514$	−17.1180	+	2.46119i	−0.755040	+	0.108558i
$515$	−20.5055	−	38.5601i	−0.903580	−	1.69916i
$516$	16.6544	+	14.4311i	0.733167	+	0.635293i
$517$	2.36792	+	10.8852i	0.104141	+	0.478729i
$518$	−4.02556	−	18.5052i	−0.176873	−	0.813072i
$519$	27.4790	+	23.8107i	1.20619	+	1.04517i
$520$	2.93614	+	0.897491i	0.128758	+	0.0393576i
$521$	−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	$0.744940\pi$
$522$	1.10126	+	0.0787639i	0.0482010	+	0.00344740i
$523$	25.4038	+	9.47511i	1.11083	+	0.414318i	0.836858	−	0.547420i	$-0.184390\pi$
$523$	25.4038	+	9.47511i	1.11083	+	0.414318i	0.273971	+	0.961738i	$0.411663\pi$
$524$	−0.650428	−	2.21516i	−0.0284141	−	0.0967695i
$525$	22.7378	+	10.9977i	0.992358	+	0.479978i
$526$	−19.3411	−	2.78083i	−0.843311	−	0.121250i
$527$	−8.42477	−	1.83270i	−0.366989	−	0.0798335i
$528$	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
$532$	1.50616	+	2.01200i	0.0653004	+	0.0872311i
$533$	−7.19715	+	2.68440i	−0.311743	+	0.116274i
$534$	−27.7314	+	8.14268i	−1.20006	+	0.352368i
$535$	10.9763	+	4.23271i	0.474548	+	0.182996i
$536$	11.8966	−	10.3085i	0.513854	−	0.445257i
$537$	31.8971	+	23.8779i	1.37646	+	1.03041i
$538$	−8.31872	−	15.2346i	−0.358645	−	0.656810i
$539$	2.63597	−	3.04207i	0.113539	−	0.131031i
$540$	8.43191	−	1.73689i	0.362852	−	0.0747436i
$541$	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	$0.568679\pi$
$542$	0.528390	+	7.38786i	0.0226963	+	0.317336i
$543$	−10.9219	+	5.96381i	−0.468704	+	0.255932i
$544$	0.776615	+	5.40147i	0.0332971	+	0.231586i
$545$	20.8380	−	17.6568i	0.892601	−	0.756336i
$546$	6.30927	−	2.88135i	0.270012	−	0.123310i
$547$	−3.33131	+	6.10085i	−0.142437	+	0.260853i	−0.939152	−	0.343501i	$-0.888387\pi$
$547$	−3.33131	+	6.10085i	−0.142437	+	0.260853i	0.796716	+	0.604354i	$0.206569\pi$
$548$	5.99376	+	16.0699i	0.256041	+	0.686472i
$549$	−1.38296	+	9.61870i	−0.0590233	+	0.410516i
$550$	25.3036	+	6.09312i	1.07895	+	0.259812i
$551$			1.01260i			0.0431383i
$552$	−6.64053	−	7.08248i	−0.282640	−	0.301450i
$553$	20.1684	+	20.1684i	0.857646	+	0.857646i
$554$	−0.481724	−	0.749577i	−0.0204665	−	0.0318465i
$555$	−5.26467	+	33.9488i	−0.223473	+	1.44105i
$556$	−2.18828	+	4.79167i	−0.0928039	+	0.203212i
$557$	4.77307	+	2.60630i	0.202242	+	0.110432i	0.577178	−	0.816618i	$-0.304154\pi$
$557$	4.77307	+	2.60630i	0.202242	+	0.110432i	−0.374937	+	0.927050i	$0.622336\pi$
$558$	0.606344	−	1.62567i	0.0256686	−	0.0688202i
$559$	9.78795	+	11.2959i	0.413986	+	0.477765i
$560$	4.42959	+	3.39298i	0.187184	+	0.143379i
$561$	55.1752	+	16.2009i	2.32950	+	0.684003i
$562$	20.2908	−	1.45123i	0.855915	−	0.0612163i
$563$	26.8683	−	5.84484i	1.13236	−	0.246330i	0.392935	−	0.919566i	$-0.371460\pi$
$563$	26.8683	−	5.84484i	1.13236	−	0.246330i	0.739428	+	0.673236i	$0.235096\pi$
$564$	2.34222	−	3.64457i	0.0986254	−	0.153464i
$565$	20.7330	−	1.25272i	0.872243	−	0.0527025i
$566$	0.423358	−	1.44182i	0.0177950	−	0.0606044i
$567$	16.5818	−	22.1507i	0.696371	−	0.930242i
$568$	−0.355160	+	4.96578i	−0.0149022	+	0.208360i
$569$	−9.62402	−	21.0737i	−0.403460	−	0.883454i	−0.996908	−	0.0785812i	$-0.974961\pi$
$569$	−9.62402	−	21.0737i	−0.403460	−	0.883454i	0.593448	−	0.804872i	$-0.297766\pi$
$570$	−1.23607	−	4.38851i	−0.0517733	−	0.183814i
$571$	−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	$0.758056\pi$
$572$	5.72167	−	4.28319i	0.239235	−	0.179089i
$573$	4.22408	−	19.4178i	0.176463	−	0.811189i
$574$	−13.9600			−0.582679
$575$	6.36124	−	23.1200i	0.265282	−	0.964171i
$576$	−1.09818			−0.0457576
$577$	5.53628	−	25.4499i	0.230478	−	1.05949i	−0.705849	−	0.708363i	$-0.749434\pi$
$577$	5.53628	−	25.4499i	0.230478	−	1.05949i	0.936327	−	0.351129i	$-0.114202\pi$
$578$	−10.2302	+	7.65820i	−0.425518	+	0.318539i
$579$	−11.0953	−	5.06703i	−0.461103	−	0.210579i
$580$	0.609479	+	2.16388i	0.0253072	+	0.0898501i
$581$	−12.3542	−	27.0519i	−0.512538	−	1.12230i
$582$	0.972163	−	13.5926i	0.0402975	−	0.563432i
$583$	12.6602	−	16.9121i	0.524332	−	0.700426i
$584$	0.425824	−	1.45022i	0.0176207	−	0.0600107i
$585$	−3.36555	+	0.203353i	−0.139148	+	0.00840759i
$586$	11.3627	−	17.6808i	0.469390	−	0.730385i
$587$	23.1800	−	5.04250i	0.956742	−	0.208126i	0.293020	−	0.956106i	$-0.405340\pi$
$587$	23.1800	−	5.04250i	0.956742	−	0.208126i	0.663721	+	0.747980i	$0.268976\pi$
$588$	−1.56145	+	0.111677i	−0.0643931	+	0.00460549i
$589$	1.52686	+	0.448326i	0.0629130	+	0.0184729i
$590$	11.4901	+	8.80116i	0.473039	+	0.362338i
$591$	29.5948	+	34.1542i	1.21737	+	1.40492i
$592$	−2.65221	+	7.11084i	−0.109005	+	0.292254i
$593$	−9.86194	−	5.38502i	−0.404981	−	0.221136i	0.263829	−	0.964569i	$-0.415014\pi$
$593$	−9.86194	−	5.38502i	−0.404981	−	0.221136i	−0.668810	+	0.743433i	$0.733196\pi$
$594$	8.32527	−	18.2298i	0.341590	−	0.747977i
$595$	−4.66612	+	30.0891i	−0.191292	+	1.23353i
$596$	1.49501	+	2.32629i	0.0612381	+	0.0952884i
$597$	−1.29031	−	1.29031i	−0.0528087	−	0.0528087i
$598$	−3.77448	−	5.39581i	−0.154350	−	0.220651i
$599$		−	15.7648i		−	0.644132i	−0.946717	−	0.322066i	$-0.895623\pi$
$599$		−	15.7648i		−	0.644132i	0.946717	−	0.322066i	$-0.104377\pi$
$600$	−5.28283	−	8.63402i	−0.215671	−	0.352482i
$601$	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	$-0.0630414\pi$
$602$	9.49263	+	25.4507i	0.386891	+	1.03729i
$603$	−8.28476	+	15.1724i	−0.337381	+	0.617868i
$604$	−12.6454	+	5.77497i	−0.514535	+	0.234980i
$605$	27.4593	−	23.2673i	1.11638	−	0.945951i
$606$	−0.675897	−	4.70097i	−0.0274565	−	0.190964i
$607$	−22.0928	+	12.0636i	−0.896717	+	0.489645i	−0.860356	−	0.509694i	$-0.829759\pi$
$607$	−22.0928	+	12.0636i	−0.896717	+	0.489645i	−0.0363615	+	0.999339i	$0.511577\pi$
$608$	−0.0718525	−	1.00463i	−0.00291401	−	0.0407431i
$609$	4.27245	+	2.74574i	0.173128	+	0.111263i
$610$	−19.3797	+	3.99201i	−0.784661	+	0.161632i
$611$	1.92425	−	2.22070i	0.0778468	−	0.0898399i
$612$	−2.87204	−	5.25975i	−0.116095	−	0.212613i
$613$	−22.1480	−	16.5798i	−0.894550	−	0.669652i	0.0497415	−	0.998762i	$-0.484160\pi$
$613$	−22.1480	−	16.5798i	−0.894550	−	0.669652i	−0.944291	+	0.329110i	$0.893251\pi$
$614$	−8.25624	+	7.15408i	−0.333195	+	0.288715i
$615$	23.6283	+	9.11160i	0.952785	+	0.367415i
$616$	12.4630	−	3.65947i	0.502148	−	0.147444i
$617$	−40.4488	+	15.0866i	−1.62841	+	0.607364i	−0.987126	−	0.159943i	$-0.948869\pi$
$617$	−40.4488	+	15.0866i	−1.62841	+	0.607364i	−0.641280	+	0.767307i	$0.721596\pi$
$618$	23.6949	+	31.6527i	0.953148	+	1.27326i
$619$	−33.0086	+	21.2133i	−1.32673	+	0.852636i	−0.995848	−	0.0910364i	$-0.970982\pi$
$619$	−33.0086	+	21.2133i	−1.32673	+	0.852636i	−0.330880	+	0.943673i	$0.607346\pi$
$620$	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
$623$	−34.8116	−	7.57280i	−1.39470	−	0.303398i
$624$	−2.75132	−	0.395580i	−0.110141	−	0.0158359i
$625$	11.3802	−	22.2596i	0.455207	−	0.890386i
$626$	−5.52887	−	18.8296i	−0.220978	−	0.752582i
$627$	−9.94437	−	3.70906i	−0.397140	−	0.148125i
$628$	−8.09669	−	0.579087i	−0.323093	−	0.0231081i
$629$	−40.9937	+	5.89400i	−1.63453	+	0.235009i
$630$	−5.85993	−	1.79121i	−0.233465	−	0.0713633i
$631$	−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	$0.808487\pi$
$632$	−2.42968	−	11.1690i	−0.0966474	−	0.444281i
$633$	−10.0209	−	46.0653i	−0.398294	−	1.83093i
$634$	7.62336	+	6.60568i	0.302762	+	0.262345i
$635$	14.0023	+	26.3309i	0.555662	+	1.04491i
$636$	−8.13231	+	1.16925i	−0.322467	+	0.0463638i
$637$	−1.05906	−	0.0757455i	−0.0419615	−	0.00300115i
$638$	4.90335	+	1.82885i	0.194125	+	0.0724050i
$639$	−1.54031	−	5.24580i	−0.0609335	−	0.207521i
$640$	−0.758225	−	2.10359i	−0.0299715	−	0.0831517i
$641$	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	$0.350270\pi$
$642$	−10.4071	−	2.26393i	−0.410737	−	0.0893503i
$643$	−15.5208	+	15.5208i	−0.612081	+	0.612081i	−0.943488	−	0.331407i	$-0.892477\pi$
$643$	−15.5208	+	15.5208i	−0.612081	+	0.612081i	0.331407	+	0.943488i	$0.392477\pi$
$644$	−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
$647$	−1.59527	−	2.13103i	−0.0627164	−	0.0837792i	0.768086	−	0.640346i	$-0.221209\pi$
$647$	−1.59527	−	2.13103i	−0.0627164	−	0.0837792i	−0.830803	+	0.556567i	$0.812118\pi$
$648$	−10.3894	+	3.87505i	−0.408134	+	0.152226i
$649$	32.3282	−	9.49242i	1.26899	−	0.372610i
$650$	−2.71323	−	6.30638i	−0.106421	−	0.247357i
$651$	6.03178	−	5.22657i	0.236404	−	0.204845i
$652$	1.82736	+	1.36794i	0.0715648	+	0.0535727i
$653$	10.3155	+	18.8914i	0.403677	+	0.739279i	0.997883	−	0.0650340i	$-0.0207156\pi$
$653$	10.3155	+	18.8914i	0.403677	+	0.739279i	−0.594206	+	0.804313i	$0.702534\pi$
$654$	−16.1929	+	18.6876i	−0.633193	+	0.730743i
$655$	−2.83880	+	4.31174i	−0.110921	+	0.168473i
$656$	4.70634	+	3.02458i	0.183752	+	0.118090i
$657$	0.118412	+	1.65562i	0.00461969	+	0.0645917i
$658$	4.68694	−	2.55926i	0.182716	−	0.0997704i
$659$	2.14422	+	14.9134i	0.0835269	+	0.580942i	0.988005	+	0.154422i	$0.0493516\pi$
$659$	2.14422	+	14.9134i	0.0835269	+	0.580942i	−0.904478	+	0.426520i	$0.859739\pi$
$660$	−23.4830	−	1.94060i	−0.914075	−	0.0755379i
$661$	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	$0.301347\pi$
$662$	−3.41483	+	6.25379i	−0.132721	+	0.243060i
$663$	−5.30081	−	14.2120i	−0.205866	−	0.551949i
$664$	−1.69611	+	11.7967i	−0.0658217	+	0.457800i
$665$	1.25521	−	5.47793i	0.0486749	−	0.212425i
$666$		−	8.33449i		−	0.322955i
$667$	1.82951	−	4.46100i	0.0708389	−	0.172730i
$668$	13.2581	+	13.2581i	0.512970	+	0.512970i
$669$	27.0345	+	42.0665i	1.04521	+	1.62638i
$670$	−34.7832	−	5.39405i	−1.34379	−	0.208391i
$671$	−19.1346	+	41.8989i	−0.738682	+	1.61749i
$672$	−4.43364	−	2.42095i	−0.171031	−	0.0933903i
$673$	17.0493	−	45.7110i	0.657203	−	1.76203i	0.00971802	−	0.999953i	$-0.496907\pi$
$673$	17.0493	−	45.7110i	0.657203	−	1.76203i	0.647485	−	0.762078i	$-0.275821\pi$
$674$	−16.7136	−	19.2885i	−0.643784	−	0.742967i
$675$	−15.1518	−	11.8740i	−0.583194	−	0.457029i
$676$	10.6645	+	3.13138i	0.410173	+	0.120438i
$677$	−16.9901	+	1.21516i	−0.652983	+	0.0467023i	−0.393901	−	0.919153i	$-0.628875\pi$
$677$	−16.9901	+	1.21516i	−0.652983	+	0.0467023i	−0.259082	+	0.965855i	$0.583420\pi$
$678$	−18.3748	+	3.99720i	−0.705682	+	0.153512i
$679$	9.08142	−	14.1310i	0.348513	−	0.542297i
$680$	8.09221	−	9.13298i	0.310322	−	0.350234i
$681$	1.76846	−	6.02283i	0.0677676	−	0.230795i
$682$	4.92858	−	6.58381i	0.188725	−	0.252107i
$683$	−0.442607	+	6.18845i	−0.0169359	+	0.236794i	0.981932	+	0.189232i	$0.0605998\pi$
$683$	−0.442607	+	6.18845i	−0.0169359	+	0.236794i	−0.998868	+	0.0475624i	$0.984855\pi$
$684$	0.459484	+	1.00613i	0.0175688	+	0.0384703i
$685$	18.7507	−	33.4551i	0.716429	−	1.27825i
$686$	−17.6441	−	8.05780i	−0.673655	−	0.307648i
$687$	47.5932	−	35.6278i	1.81579	−	1.35929i
$688$	2.31391	−	10.6369i	0.0882171	−	0.405527i
$689$	−5.57250			−0.212295
$690$	−2.48342	+	21.5667i	−0.0945421	+	0.821031i
$691$	−11.2595			−0.428330			−0.214165	−	0.976797i	$-0.568703\pi$
$691$	−11.2595			−0.428330			−0.214165	+	0.976797i	$0.568703\pi$
$692$	3.81786	−	17.5504i	0.145133	−	0.667167i
$693$	−11.4193	+	8.54836i	−0.433782	+	0.324725i
$694$	−2.83073	−	1.29275i	−0.107453	−	0.0490722i
$695$	11.3378	−	3.19341i	0.430067	−	0.121133i
$696$	−0.845479	−	1.85134i	−0.0320478	−	0.0701749i
$697$	−2.17791	+	30.4511i	−0.0824942	+	1.15342i
$698$	−10.4758	+	13.9940i	−0.396514	+	0.529680i
$699$	−11.7964	+	40.1749i	−0.446181	+	1.51955i
$700$	−0.614815	−	12.4615i	−0.0232378	−	0.471002i
$701$	−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	$0.236545\pi$
$702$	−5.16550	+	1.12369i	−0.194959	+	0.0424108i
$703$	7.62449	−	0.545314i	0.287563	−	0.0205669i
$704$	−4.99451	−	1.46652i	−0.188238	−	0.0552716i
$705$	−9.60339	+	1.27260i	−0.361684	+	0.0479289i
$706$	−1.10533	−	1.27562i	−0.0415996	−	0.0480085i
$707$	2.04582	−	5.48505i	0.0769409	−	0.206287i
$708$	−11.5006	−	6.27979i	−0.432218	−	0.236009i
$709$	2.15359	−	4.71571i	0.0808798	−	0.177102i	−0.864872	−	0.501993i	$-0.832600\pi$
$709$	2.15359	−	4.71571i	0.0808798	−	0.177102i	0.945751	+	0.324891i	$0.105328\pi$
$710$	8.98496	−	6.57238i	0.337199	−	0.246657i
$711$	6.78640	+	10.5598i	0.254510	+	0.396025i
$712$	10.0953	+	10.0953i	0.378338	+	0.378338i
$713$	−5.91652	−	4.73372i	−0.221576	−	0.177279i
$714$		−	27.5664i		−	1.03165i
$715$	−15.5780	−	3.56954i	−0.582585	−	0.133493i
$716$	2.80106	−	19.4818i	0.104680	−	0.728068i
$717$	−3.58147	−	9.60229i	−0.133752	−	0.358604i
$718$	12.9039	−	23.6316i	0.481568	−	0.881925i
$719$	26.3786	−	12.0467i	0.983757	−	0.449267i	0.142437	−	0.989804i	$-0.454506\pi$
$719$	26.3786	−	12.0467i	0.983757	−	0.449267i	0.841320	+	0.540537i	$0.181779\pi$
$720$	1.58747	+	1.87348i	0.0591617	+	0.0698206i
$721$	6.93602	+	48.2411i	0.258311	+	1.79659i
$722$	15.7855	−	8.61956i	0.587477	−	0.320787i
$723$	−1.01323	−	14.1668i	−0.0376824	−	0.526869i
$724$	5.17123	+	3.32335i	0.192187	+	0.123511i
$725$	2.81051	−	4.16775i	0.104380	−	0.154786i
$726$	−21.3382	+	24.6256i	−0.791935	+	0.913942i
$727$	−19.3992	−	35.5270i	−0.719477	−	1.31762i	−0.939641	−	0.342161i	$-0.888841\pi$
$727$	−19.3992	−	35.5270i	−0.719477	−	1.31762i	0.220165	−	0.975463i	$-0.429341\pi$
$728$	−2.74285	−	2.05327i	−0.101657	−	0.0760992i
$729$	−8.46799	+	7.33756i	−0.313629	+	0.271761i
$730$	−3.08961	+	1.36992i	−0.114352	+	0.0507029i
$731$	56.9970	−	16.7358i	2.10811	−	0.618997i
$732$	16.7841	−	6.26014i	0.620357	−	0.231381i
$733$	22.1518	+	29.5914i	0.818197	+	1.09298i	0.994088	+	0.108573i	$0.0346282\pi$
$733$	22.1518	+	29.5914i	0.818197	+	1.09298i	−0.175892	+	0.984409i	$0.556281\pi$
$734$	−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
$738$	−6.00330	−	1.30594i	−0.220985	−	0.0480722i
$739$	24.9738	+	3.59068i	0.918674	+	0.132085i	0.585400	−	0.810744i	$-0.300937\pi$
$739$	24.9738	+	3.59068i	0.918674	+	0.132085i	0.333274	+	0.942830i	$0.391846\pi$
$740$	15.9649	−	5.75443i	0.586881	−	0.211537i
$741$	0.788742	+	2.68621i	0.0289752	+	0.0986803i
$742$	−9.48871	−	3.53911i	−0.348342	−	0.129925i
$743$	16.9518	+	1.21241i	0.621900	+	0.0444792i	0.378734	−	0.925506i	$-0.376360\pi$
$743$	16.9518	+	1.21241i	0.621900	+	0.0444792i	0.243166	+	0.969985i	$0.421814\pi$
$744$	−3.16588	+	0.455185i	−0.116067	+	0.0166879i
$745$	1.80750	−	5.91323i	0.0662216	−	0.216644i
$746$	9.06192	+	7.85220i	0.331780	+	0.287489i
$747$	−2.78208	−	12.7890i	−0.101791	−	0.467925i
$748$	−6.03808	−	27.7566i	−0.220774	−	1.01488i
$749$	−9.92163	−	8.59714i	−0.362529	−	0.314133i
$750$	−7.09294	+	21.4933i	−0.258998	+	0.784825i
$751$	−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	$0.540425\pi$
$752$	−2.13460	−	0.152669i	−0.0778408	−	0.00556728i
$753$	6.97219	+	2.60049i	0.254081	+	0.0947672i
$754$	−0.388911	−	1.32451i	−0.0141633	−	0.0482358i
$755$	28.1316	+	13.2249i	1.02381	+	0.481304i
$756$	−9.50935	−	1.36724i	−0.345852	−	0.0497260i
$757$	−21.7578	−	4.73311i	−0.790800	−	0.172028i	−0.201015	−	0.979588i	$-0.564424\pi$
$757$	−21.7578	−	4.73311i	−0.790800	−	0.172028i	−0.589785	+	0.807560i	$0.700788\pi$
$758$	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	$0.142883\pi$
$762$	−16.1801	−	21.6141i	−0.586144	−	0.782997i
$763$	−28.5579	+	10.6515i	−1.03386	+	0.385612i
$764$	−9.41858	+	2.76554i	−0.340752	+	0.100054i
$765$	−4.82139	+	12.5029i	−0.174318	+	0.452043i
$766$	12.3871	−	10.7335i	0.447565	−	0.387817i
$767$	−7.11476	−	5.32604i	−0.256899	−	0.192312i
$768$	0.970190	+	1.77677i	0.0350087	+	0.0641137i
$769$	9.50097	−	10.9647i	0.342614	−	0.395397i	−0.558126	−	0.829756i	$-0.688479\pi$
$769$	9.50097	−	10.9647i	0.342614	−	0.395397i	0.900740	+	0.434359i	$0.143025\pi$
$770$	−24.2589	−	15.9718i	−0.874229	−	0.575583i
$771$	−29.4522	−	18.9278i	−1.06069	−	0.681667i
$772$	0.429837	+	6.00991i	0.0154702	+	0.216301i
$773$	9.32327	−	5.09089i	0.335335	−	0.183107i	−0.302756	−	0.953068i	$-0.597907\pi$
$773$	9.32327	−	5.09089i	0.335335	−	0.183107i	0.638090	+	0.769962i	$0.279725\pi$
$774$	1.70129	+	11.8327i	0.0611517	+	0.425319i
$775$	−5.04002	−	6.08310i	−0.181043	−	0.218511i
$776$	−6.12324	+	2.79639i	−0.219811	+	0.100385i
$777$	18.3735	−	33.6485i	0.659144	−	1.20713i
$778$	3.84588	+	10.3112i	0.137881	+	0.369674i
$779$	0.801900	−	5.57734i	0.0287311	−	0.199829i
$780$	3.30231	+	5.26554i	0.118242	+	0.188537i
$781$		−	25.9147i		−	0.927302i
$782$	−25.7387	+	4.73699i	−0.920413	+	0.169395i
$783$	−2.73700	−	2.73700i	−0.0978124	−	0.0978124i
$784$	0.418070	+	0.650530i	0.0149311	+	0.0232332i
$785$	10.7162	+	14.6499i	0.382479	+	0.522879i
$786$	1.94151	−	4.25132i	0.0692515	−	0.151640i
$787$	30.6587	+	16.7409i	1.09287	+	0.596750i	0.921469	−	0.388452i	$-0.126990\pi$
$787$	30.6587	+	16.7409i	1.09287	+	0.596750i	0.171397	+	0.985202i	$0.445172\pi$
$788$	7.80142	−	20.9164i	0.277914	−	0.745116i
$789$	−25.9041	−	29.8949i	−0.922210	−	1.06429i
$790$	−15.5420	+	20.2904i	−0.552960	+	0.721900i
$791$	−22.2402	−	6.53032i	−0.790772	−	0.232192i
$792$	5.70187	−	0.407806i	0.202607	−	0.0144908i
$793$	11.8723	−	2.58265i	0.421596	−	0.0917127i
$794$	3.35755	−	5.22445i	0.119155	−	0.185409i
$795$	13.7504	+	12.1834i	0.487676	+	0.432101i
$796$	−0.253951	+	0.864877i	−0.00900104	+	0.0306547i
$797$	−15.9362	+	21.2882i	−0.564487	+	0.754067i	−0.988439	−	0.151618i	$-0.951552\pi$
$797$	−15.9362	+	21.2882i	−0.564487	+	0.754067i	0.423952	+	0.905685i	$0.360643\pi$
$798$	−0.362967	+	5.07494i	−0.0128489	+	0.179651i
$799$	−4.85134	−	10.6229i	−0.171628	−	0.375813i
$800$	−2.49265	+	4.33436i	−0.0881284	+	0.153243i
$801$	−14.2618	−	6.51315i	−0.503916	−	0.230131i
$802$	16.5279	−	12.3726i	0.583621	−	0.436893i
$803$	−1.67239	+	7.68784i	−0.0590173	+	0.271298i
$804$	31.8669			1.12386
$805$	−15.4270	+	21.8650i	−0.543730	+	0.770642i
$806$	−2.16936			−0.0764123
$807$	7.46935	−	34.3361i	0.262934	−	1.20869i
$808$	−1.87810	+	1.40593i	−0.0660713	+	0.0494604i
$809$	14.1947	+	6.48250i	0.499059	+	0.227913i	0.649009	−	0.760781i	$-0.275184\pi$
$809$	14.1947	+	6.48250i	0.499059	+	0.227913i	−0.149950	+	0.988694i	$0.547911\pi$
$810$	21.6292	+	12.1226i	0.759972	+	0.425945i
$811$	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	$0.644005\pi$
$812$	0.178971	−	2.50234i	0.00628065	−	0.0878150i
$813$	−8.98567	+	12.0034i	−0.315141	+	0.420979i
$814$	11.1299	−	37.9051i	0.390104	−	1.32857i
$815$	−0.307841	−	5.09487i	−0.0107832	−	0.178466i
$816$	−5.97255	+	9.29347i	−0.209081	+	0.325337i
$817$	−10.7134	+	2.33056i	−0.374815	+	0.0815361i
$818$	7.33951	−	0.524932i	0.256620	−	0.0183538i
$819$	3.61022	+	1.06006i	0.126151	+	0.0370414i
$820$	−1.64335	−	12.4011i	−0.0573881	−	0.433066i
$821$	−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	$0.797042\pi$
$822$	−12.1337	+	32.5318i	−0.423213	+	1.13468i
$823$	1.06837	+	0.583372i	0.0372409	+	0.0203351i	0.497762	−	0.867314i	$-0.334155\pi$
$823$	1.06837	+	0.583372i	0.0372409	+	0.0203351i	−0.460521	+	0.887649i	$0.652337\pi$
$824$	8.11359	−	17.7663i	0.282650	−	0.618918i
$825$	30.6352	+	42.8670i	1.06658	+	1.49244i
$826$	−8.73226	−	13.5877i	−0.303834	−	0.472775i
$827$	10.5319	+	10.5319i	0.366230	+	0.366230i	0.866100	−	0.499870i	$-0.166619\pi$
$827$	10.5319	+	10.5319i	0.366230	+	0.366230i	−0.499870	+	0.866100i	$0.666619\pi$
$828$	−0.206431	−	5.26265i	−0.00717397	−	0.182890i
$829$		−	29.0834i		−	1.01011i	−0.863088	−	0.505054i	$-0.831473\pi$
$829$		−	29.0834i		−	1.01011i	0.863088	−	0.505054i	$-0.168527\pi$
$830$	22.5768	−	14.1591i	0.783651	−	0.491471i
$831$	0.256706	−	1.78543i	0.00890502	−	0.0619357i
$832$	0.479834	+	1.28648i	0.0166352	+	0.0446008i
$833$	−2.02235	+	3.70366i	−0.0700704	+	0.128324i
$834$	−9.70024	+	4.42995i	−0.335892	+	0.153397i
$835$	3.45291	−	41.7832i	0.119493	−	1.44597i
$836$	0.746132	+	5.18946i	0.0258055	+	0.179481i
$837$	−5.33879	+	2.91520i	−0.184536	+	0.100764i
$838$	−0.659438	−	9.22014i	−0.0227799	−	0.318505i
$839$	−6.40082	−	4.11355i	−0.220981	−	0.142016i	0.425467	−	0.904974i	$-0.360110\pi$
$839$	−6.40082	−	4.11355i	−0.220981	−	0.142016i	−0.646448	+	0.762958i	$0.723746\pi$
$840$	2.27893	+	11.0633i	0.0786306	+	0.381721i
$841$	−18.3291	+	21.1529i	−0.632036	+	0.729409i
$842$	16.8079	+	30.7813i	0.579237	+	1.06079i
$843$	32.9675	+	24.6792i	1.13546	+	0.849996i
$844$	−17.5993	+	15.2499i	−0.605794	+	0.524923i
$845$	−10.0740	−	22.7200i	−0.346554	−	0.781593i
$846$	2.25497	−	0.662118i	0.0775273	−	0.0227641i
$847$	−37.6322	+	14.0361i	−1.29306	+	0.482285i
$848$	2.43215	+	3.24897i	0.0835202	+	0.111570i
$849$	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
$853$	26.7544	+	5.82006i	0.916053	+	0.199275i	0.645793	−	0.763512i	$-0.276527\pi$
$853$	26.7544	+	5.82006i	0.916053	+	0.199275i	0.270260	+	0.962787i	$0.412890\pi$
$854$	21.8561	+	3.14243i	0.747899	+	0.107532i
$855$	1.05224	−	2.23828i	0.0359858	−	0.0765476i
$856$	1.48222	+	5.04798i	0.0506612	+	0.172536i
$857$	25.0736	+	9.35198i	0.856499	+	0.319457i	0.739074	−	0.673624i	$-0.235263\pi$
$857$	25.0736	+	9.35198i	0.856499	+	0.319457i	0.117425	+	0.993082i	$0.462536\pi$
$858$	14.4320	+	1.03220i	0.492701	+	0.0352387i
$859$	50.2261	−	7.22142i	1.71369	−	0.246392i	0.785598	−	0.618738i	$-0.212356\pi$
$859$	50.2261	−	7.22142i	1.71369	−	0.246392i	0.928094	+	0.372346i	$0.121447\pi$
$860$	−21.4913	+	11.4286i	−0.732846	+	0.389713i
$861$	−21.3579	−	18.5067i	−0.727876	−	0.630708i
$862$	7.69318	+	35.3650i	0.262031	+	1.20454i
$863$	6.17528	+	28.3873i	0.210209	+	0.966315i	0.954442	+	0.298395i	$0.0964513\pi$
$863$	6.17528	+	28.3873i	0.210209	+	0.966315i	−0.744234	+	0.667920i	$0.767185\pi$
$864$	2.90966	+	2.52124i	0.0989887	+	0.0857742i
$865$	−35.4597	+	18.8568i	−1.20566	+	0.641149i
$866$	12.0094	−	1.72669i	0.408096	−	0.0586754i
$867$	−25.8039	−	1.84553i	−0.876348	−	0.0626776i
$868$	−3.69393	−	1.37776i	−0.125380	−	0.0467643i
$869$	16.7627	+	57.0886i	0.568636	+	1.93660i
$870$	−1.93618	+	4.11858i	−0.0656427	+	0.139633i
$871$	21.3939	+	3.07598i	0.724904	+	0.104225i
$872$	11.9355	+	2.59641i	0.404186	+	0.0879254i
$873$	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
$877$	15.2602	+	20.3853i	0.515302	+	0.688363i	0.980427	−	0.196882i	$-0.0630816\pi$
$877$	15.2602	+	20.3853i	0.515302	+	0.688363i	−0.465125	+	0.885245i	$0.653991\pi$
$878$	1.76431	−	0.658055i	0.0595427	−	0.0222083i
$879$	40.8236	−	11.9869i	1.37695	−	0.404308i
$880$	4.71794	+	10.6405i	0.159042	+	0.358691i
$881$	−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	$0.516642\pi$
$882$	−0.679827	−	0.508912i	−0.0228910	−	0.0171360i
$883$	−12.9875	−	23.7849i	−0.437066	−	0.800426i	0.562588	−	0.826737i	$-0.309806\pi$
$883$	−12.9875	−	23.7849i	−0.437066	−	0.800426i	−0.999654	+	0.0263114i	$0.991624\pi$
$884$	−4.90673	+	5.66267i	−0.165031	+	0.190456i
$885$	5.91140	+	28.6976i	0.198710	+	0.964659i
$886$	23.5405	+	15.1285i	0.790857	+	0.508253i
$887$	−2.17626	−	30.4281i	−0.0730716	−	1.02167i	−0.893248	−	0.449564i	$-0.851579\pi$
$887$	−2.17626	−	30.4281i	−0.0730716	−	1.02167i	0.820177	−	0.572111i	$-0.193875\pi$
$888$	−13.4845	+	7.36311i	−0.452511	+	0.247090i
$889$	−4.73629	−	32.9416i	−0.158850	−	1.10483i
$890$	2.62921	−	31.8157i	0.0881312	−	1.06647i
$891$	52.5039	−	23.9777i	1.75895	−	0.803284i
$892$	11.8379	−	21.6795i	0.396362	−	0.725883i
$893$	0.753253	+	2.01955i	0.0252066	+	0.0675816i
$894$	−0.796676	+	5.54100i	−0.0266448	+	0.185319i
$895$	−37.2847	+	23.3833i	−1.24629	+	0.781617i
$896$			2.49534i			0.0833634i
$897$	1.37850	−	13.2591i	0.0460266	−	0.442708i
$898$	27.3157	+	27.3157i	0.911535	+	0.911535i
$899$	−0.858769	−	1.33627i	−0.0286416	−	0.0445671i
$900$	0.901366	−	5.41642i	0.0300455	−	0.180547i
$901$	−9.20024	+	20.1457i	−0.306504	+	0.671151i
$902$	−25.5590	−	13.9562i	−0.851020	−	0.464692i
$903$	−19.2169	+	51.5224i	−0.639497	+	1.71456i
$904$	6.08299	+	7.02015i	0.202317	+	0.233487i
$905$	−1.80568	−	13.6261i	−0.0600227	−	0.452947i
$906$	−27.0025	−	7.92866i	−0.897100	−	0.263412i
$907$	38.2262	−	2.73399i	1.26928	−	0.0907807i	0.579604	−	0.814898i	$-0.303207\pi$
$907$	38.2262	−	2.73399i	1.26928	−	0.0907807i	0.689676	+	0.724118i	$0.257753\pi$
$908$	−3.02986	+	0.659107i	−0.100550	+	0.0218732i
$909$	1.39289	−	2.16738i	0.0461994	−	0.0718876i
$910$	0.462067	+	7.64736i	0.0153174	+	0.253507i
$911$	−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	$0.963553\pi$
$912$	1.22191	−	1.63227i	0.0404613	−	0.0540500i
$913$	4.42570	−	61.8794i	0.146469	−	2.04791i
$914$	11.3377	+	24.8262i	0.375019	+	0.821176i
$915$	−34.9419	−	19.5841i	−1.15514	−	0.647430i
$916$	−26.7135	−	12.1997i	−0.882640	−	0.403088i
$917$	4.61185	−	3.45239i	0.152297	−	0.114008i
$918$	−4.46593	+	20.5296i	−0.147398	+	0.677577i
$919$	−53.2476			−1.75647			−0.878237	−	0.478225i	$-0.841280\pi$
$919$	−53.2476			−1.75647			−0.878237	+	0.478225i	$0.841280\pi$
$920$	9.93819	−	4.02895i	0.327652	−	0.132830i
$921$	−22.1157			−0.728736
$922$	7.48948	−	34.4286i	0.246653	−	1.13385i
$923$	−5.47227	+	4.09649i	−0.180122	+	0.134838i
$924$	23.9189	+	10.9234i	0.786876	+	0.359354i
$925$	−32.8950	−	18.9176i	−1.08158	−	0.622006i
$926$	−1.98053	−	4.33675i	−0.0650842	−	0.142515i
$927$	−1.53015	+	21.3943i	−0.0502566	+	0.702680i
$928$	−0.602495	+	0.804839i	−0.0197779	+	0.0264201i
$929$	4.41071	−	15.0215i	0.144711	−	0.492839i	−0.854955	−	0.518702i	$-0.826415\pi$
$929$	4.41071	−	15.0215i	0.144711	−	0.492839i	0.999665	+	0.0258632i	$0.00823342\pi$
$930$	5.35298	+	4.74296i	0.175531	+	0.155528i
$931$	0.421079	−	0.655211i	0.0138003	−	0.0214737i
$932$	20.2105	−	4.39653i	0.662017	−	0.144013i
$933$	−15.0099	+	1.07353i	−0.491403	+	0.0351458i
$934$	11.2187	+	3.29411i	0.367087	+	0.107786i
$935$	−38.6241	+	50.4244i	−1.26314	+	1.64905i
$936$	−0.987441	−	1.13957i	−0.0322755	−	0.0372479i
$937$	−2.56134	+	6.86721i	−0.0836752	+	0.224342i	−0.972049	−	0.234780i	$-0.924563\pi$
$937$	−2.56134	+	6.86721i	−0.0836752	+	0.224342i	0.888373	+	0.459122i	$0.151836\pi$
$938$	34.4754	+	18.8250i	1.12566	+	0.614658i
$939$	16.5035	−	36.1377i	0.538573	−	1.17931i
$940$	2.82521	+	3.86229i	0.0921482	+	0.125974i
$941$	−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
$943$	−13.6096	+	23.1220i	−0.443188	+	0.752956i
$944$			6.47275i			0.210670i
$945$	11.4137	+	18.1992i	0.371289	+	0.592021i
$946$	−8.06410	+	56.0871i	−0.262187	+	1.82355i
$947$	6.34831	+	17.0205i	0.206292	+	0.553091i	0.998354	−	0.0573496i	$-0.0182650\pi$
$947$	6.34831	+	17.0205i	0.206292	+	0.553091i	−0.792062	+	0.610441i	$0.790992\pi$
$948$	11.0895	−	20.3090i	0.360171	−	0.659604i
$949$	1.88776	−	0.862112i	0.0612793	−	0.0279853i
$950$	5.01398	+	0.470192i	0.162675	+	0.0152550i
$951$	2.90613	+	20.2125i	0.0942376	+	0.655437i
$952$	−11.9514	+	6.52598i	−0.387349	+	0.211508i
$953$	1.47150	+	20.5743i	0.0476666	+	0.666466i	0.963975	+	0.265993i	$0.0856997\pi$
$953$	1.47150	+	20.5743i	0.0476666	+	0.666466i	−0.916308	+	0.400473i	$0.868846\pi$
$954$	−3.74941	−	2.40960i	−0.121392	−	0.0780136i
$955$	18.3330	+	12.0702i	0.593242	+	0.390584i
$956$	−3.31522	+	3.82597i	−0.107222	+	0.123741i
$957$	5.07730	+	9.29839i	0.164126	+	0.300574i
$958$	−19.5559	−	14.6394i	−0.631823	−	0.472977i
$959$	−32.3448	+	28.0269i	−1.04447	+	0.905035i
$960$	1.62869	−	4.22354i	0.0525657	−	0.136314i
$961$	27.3492	−	8.03044i	0.882231	−	0.259046i
$962$	−9.76358	+	3.64163i	−0.314790	+	0.117411i
$963$	−3.46241	−	4.62523i	−0.111574	−	0.149046i
$964$	−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	−0.730942	−	0.682440i	$-0.760919\pi$
$967$	−1.50826	+	1.50826i	−0.0485025	+	0.0485025i	0.682440	+	0.730942i	$0.260919\pi$
$968$	15.7280	+	3.42142i	0.505517	+	0.109968i
$969$	11.0134	+	1.58349i	0.353802	+	0.0508690i
$970$	13.6220	+	6.40385i	0.437377	+	0.205615i
$971$	−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	$-0.303987\pi$
$972$	−10.2104	−	3.80829i	−0.327499	−	0.122151i
$973$	−13.1112	−	0.937732i	−0.420326	−	0.0300623i
$974$	−16.2892	+	2.34204i	−0.521940	+	0.0750436i
$975$	4.20929	−	13.2453i	0.134805	−	0.424189i
$976$	−6.68749	−	5.79475i	−0.214061	−	0.185485i
$977$	1.28414	+	5.90309i	0.0410832	+	0.188856i	0.993115	−	0.117142i	$-0.0373733\pi$
$977$	1.28414	+	5.90309i	0.0410832	+	0.188856i	−0.952032	+	0.305999i	$0.901010\pi$
$978$	0.982262	+	4.51539i	0.0314093	+	0.144386i
$979$	−56.1647	−	48.6670i	−1.79503	−	1.55540i
$980$	0.505455	−	1.65360i	0.0161462	−	0.0528222i
$981$	−13.2773	+	1.90899i	−0.423913	+	0.0609495i
$982$	28.7247	+	2.05443i	0.916642	+	0.0655595i
$983$	29.0593	+	10.8386i	0.926849	+	0.345697i	0.767149	−	0.641469i	$-0.221675\pi$
$983$	29.0593	+	10.8386i	0.926849	+	0.345697i	0.159700	+	0.987166i	$0.448947\pi$
$984$	3.19072	+	10.8666i	0.101716	+	0.346414i
$985$	−46.9604	+	16.9266i	−1.49628	+	0.539325i
$986$	−5.43047	−	0.780784i	−0.172941	−	0.0248652i
$987$	10.5635	+	2.29795i	0.336241	+	0.0731447i
$988$	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	$0.336177\pi$
$992$	0.946827	+	1.26481i	0.0300618	+	0.0401579i
$993$	−13.5151	+	5.04087i	−0.428889	+	0.159967i
$994$	−11.9197	+	3.49995i	−0.378071	+	0.111012i
$995$	1.84257	−	0.816984i	0.0584133	−	0.0259001i
$996$	−18.2338	+	15.7996i	−0.577759	+	0.500631i
$997$	19.4452	+	14.5565i	0.615837	+	0.461010i	0.861092	−	0.508449i	$-0.169781\pi$
$997$	19.4452	+	14.5565i	0.615837	+	0.461010i	−0.245255	+	0.969458i	$0.578872\pi$
$998$	7.99129	+	14.6349i	0.252960	+	0.463261i
$999$	−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.103.11	yes	240
5.2	odd	4	inner	230.2.l.a.57.8	✓	240
23.21	odd	22	inner	230.2.l.a.113.8	yes	240
115.67	even	44	inner	230.2.l.a.67.11	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.57.8	✓	240	5.2	odd	4	inner
230.2.l.a.67.11	yes	240	115.67	even	44	inner
230.2.l.a.103.11	yes	240	1.1	even	1	trivial
230.2.l.a.113.8	yes	240	23.21	odd	22	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)

\(f(q)\)	\(=\)	\(q+(0.212565 - 0.977147i) q^{2} +(1.62061 - 1.21318i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(0.606224 + 2.15232i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(0.178015 - 2.48898i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(0.309393 - 1.05370i) q^{9} +O(q^{10})\)	\(q+(0.212565 - 0.977147i) q^{2} +(1.62061 - 1.21318i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(0.606224 + 2.15232i) q^{5} +(-0.840965 - 1.84146i) q^{6} +(0.178015 - 2.48898i) q^{7} +(-0.599278 + 0.800541i) q^{8} +(0.309393 - 1.05370i) q^{9} +(2.23200 - 0.134861i) q^{10} +(2.81423 - 4.37903i) q^{11} +(-1.97813 + 0.430316i) q^{12} +(-1.36956 + 0.0979527i) q^{13} +(-2.39426 - 0.703018i) q^{14} +(3.59360 + 2.75262i) q^{15} +(0.654861 + 0.755750i) q^{16} +(-1.90703 + 5.11295i) q^{17} +(-0.963851 - 0.526302i) q^{18} +(0.418404 - 0.916178i) q^{19} +(0.342666 - 2.20966i) q^{20} +(-2.73108 - 4.24964i) q^{21} +(-3.68075 - 3.68075i) q^{22} +(-3.49856 + 3.28025i) q^{23} +2.02440i q^{24} +(-4.26498 + 2.60958i) q^{25} +(-0.195406 + 1.35908i) q^{26} +(1.34545 + 3.60729i) q^{27} +(-1.19589 + 2.19011i) q^{28} +(-0.914515 + 0.417645i) q^{29} +(3.45359 - 2.92636i) q^{30} +(0.224850 + 1.56387i) q^{31} +(0.877679 - 0.479249i) q^{32} +(-0.751753 - 10.5109i) q^{33} +(4.59074 + 2.95029i) q^{34} +(5.46501 - 1.12573i) q^{35} +(-0.719156 + 0.829950i) q^{36} +(3.63719 + 6.66101i) q^{37} +(-0.806302 - 0.603590i) q^{38} +(-2.10069 + 1.82026i) q^{39} +(-2.08632 - 0.804531i) q^{40} +(5.36782 - 1.57613i) q^{41} +(-4.73305 + 1.76534i) q^{42} +(-6.52353 - 8.71442i) 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} +(1.97813 + 0.430316i) q^{48} +(0.765416 + 0.110050i) q^{49} +(1.64336 + 4.72222i) q^{50} +(3.11235 + 10.5997i) q^{51} +(1.28648 + 0.479834i) q^{52} +(4.04812 + 0.289527i) q^{53} +(3.81085 - 0.547917i) q^{54} +(11.1311 + 3.40246i) q^{55} +(1.88585 + 1.63410i) q^{56} +(-0.433413 - 1.99237i) q^{57} +(0.213706 + 0.982392i) q^{58} +(4.89177 + 4.23875i) q^{59} +(-2.12537 - 3.99671i) q^{60} +(-8.75876 + 1.25932i) q^{61} +(1.57592 + 0.112712i) q^{62} +(-2.56756 - 0.957649i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(-1.04108 - 2.88835i) q^{65} +(-10.4305 - 1.49967i) q^{66} +(-15.3817 - 3.34608i) 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} +(0.658116 + 0.879140i) q^{72} +(-1.41615 + 0.528197i) q^{73} +(7.28193 - 2.13817i) q^{74} +(-3.74601 + 9.40330i) q^{75} +(-0.761188 + 0.659573i) q^{76} +(-10.3983 - 7.78411i) q^{77} +(1.33213 + 2.43960i) q^{78} +(-7.48523 + 8.63842i) q^{79} +(-1.22962 + 1.86763i) q^{80} +(9.32828 + 5.99492i) q^{81} +(-0.399102 - 5.58018i) q^{82} +(10.4602 - 5.71168i) q^{83} +(0.718911 + 5.00014i) q^{84} +(-12.1608 - 1.00495i) q^{85} +(-9.90194 + 4.52206i) q^{86} +(-0.975398 + 1.78631i) q^{87} +(1.81909 + 4.87717i) q^{88} +(2.03182 - 14.1316i) q^{89} +(0.548462 - 2.39358i) q^{90} +3.42624i q^{91} +(4.54507 - 1.53046i) q^{92} +(2.26164 + 2.26164i) q^{93} +(1.15700 + 1.80032i) q^{94} +(2.22556 + 0.345132i) q^{95} +(0.840965 - 1.84146i) q^{96} +(5.90815 + 3.22609i) q^{97} +(0.270236 - 0.724531i) 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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