LMFDB - Embedded newform 230.2.l.a.217.10

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			217.10
Character	$\chi$	$=$	230.217
Dual form			230.2.l.a.53.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.0713392 - 0.997452i) q^{2} +(-0.378476 + 0.0823325i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(-1.71533 + 1.43445i) q^{5} +(0.0551225 + 0.383386i) q^{6} +(-2.63408 + 1.43832i) q^{7} +(-0.212565 + 0.977147i) q^{8} +(-2.59243 + 1.18392i) q^{9} +O(q^{10})$	\(q+(0.0713392 - 0.997452i) q^{2} +(-0.378476 + 0.0823325i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(-1.71533 + 1.43445i) q^{5} +(0.0551225 + 0.383386i) q^{6} +(-2.63408 + 1.43832i) q^{7} +(-0.212565 + 0.977147i) q^{8} +(-2.59243 + 1.18392i) q^{9} +(1.30842 + 1.81329i) q^{10} +(-4.70158 - 4.07395i) q^{11} +(0.386341 - 0.0276317i) q^{12} +(1.13613 - 2.08067i) q^{13} +(1.24674 + 2.72998i) q^{14} +(0.531110 - 0.684133i) q^{15} +(0.959493 + 0.281733i) q^{16} +(3.38530 + 2.53420i) q^{17} +(0.995965 + 2.67029i) q^{18} +(-0.894953 + 6.22454i) q^{19} +(1.90201 - 1.17573i) q^{20} +(0.878518 - 0.761240i) q^{21} +(-4.39897 + 4.39897i) q^{22} +(3.39017 - 3.39216i) q^{23} -0.387328i q^{24} +(0.884707 - 4.92111i) q^{25} +(-1.99432 - 1.28167i) q^{26} +(1.81391 - 1.35788i) q^{27} +(2.81197 - 1.04881i) q^{28} +(-5.28457 + 0.759806i) q^{29} +(-0.644501 - 0.578562i) q^{30} +(-1.87848 + 1.20723i) q^{31} +(0.349464 - 0.936950i) q^{32} +(2.11486 + 1.15480i) q^{33} +(2.76925 - 3.19588i) q^{34} +(2.45512 - 6.24565i) q^{35} +(2.73453 - 0.802931i) q^{36} +(1.65191 + 0.616132i) q^{37} +(6.14483 + 1.33673i) q^{38} +(-0.258692 + 0.881025i) q^{39} +(-1.03705 - 1.98104i) q^{40} +(-3.35678 + 7.35032i) q^{41} +(-0.696628 - 0.930586i) q^{42} +(0.416347 + 1.91391i) q^{43} +(4.07395 + 4.70158i) q^{44} +(2.74859 - 5.74953i) q^{45} +(-3.14167 - 3.62353i) q^{46} +(-6.39758 - 6.39758i) q^{47} +(-0.386341 - 0.0276317i) q^{48} +(1.08515 - 1.68852i) q^{49} +(-4.84545 - 1.23352i) q^{50} +(-1.48990 - 0.680415i) q^{51} +(-1.42068 + 1.89780i) q^{52} +(-0.221243 - 0.405176i) q^{53} +(-1.22502 - 1.90616i) q^{54} +(13.9086 + 0.243970i) q^{55} +(-0.845533 - 2.87962i) q^{56} +(-0.173763 - 2.42952i) q^{57} +(0.380874 + 5.32531i) q^{58} +(-3.35242 - 11.4173i) q^{59} +(-0.623066 + 0.601585i) q^{60} +(3.37239 + 5.24755i) q^{61} +(1.07014 + 1.95982i) q^{62} +(5.12582 - 6.84729i) q^{63} +(-0.909632 - 0.415415i) q^{64} +(1.03578 + 5.19876i) q^{65} +(1.30273 - 2.02709i) q^{66} +(-14.3108 - 1.02353i) q^{67} +(-2.99018 - 2.99018i) q^{68} +(-1.00381 + 1.56297i) q^{69} +(-6.05459 - 2.89443i) q^{70} +(0.153656 + 0.177328i) q^{71} +(-0.605806 - 2.78485i) q^{72} +(6.66318 + 8.90097i) q^{73} +(0.732408 - 1.60375i) q^{74} +(0.0703264 + 1.93536i) q^{75} +(1.77169 - 6.03382i) q^{76} +(18.2440 + 3.96874i) q^{77} +(0.860326 + 0.320885i) q^{78} +(-9.47630 + 2.78249i) q^{79} +(-2.04998 + 0.893081i) q^{80} +(5.02429 - 5.79834i) q^{81} +(7.09212 + 3.87259i) q^{82} +(-2.55053 + 6.83823i) q^{83} +(-0.977912 + 0.628466i) q^{84} +(-9.44208 + 0.509050i) q^{85} +(1.93874 - 0.278749i) q^{86} +(1.93753 - 0.722660i) q^{87} +(4.98024 - 3.72816i) q^{88} +(-3.96856 - 2.55044i) q^{89} +(-5.53880 - 3.15176i) q^{90} +7.11478i q^{91} +(-3.83842 + 2.87516i) q^{92} +(0.611567 - 0.611567i) q^{93} +(-6.83768 + 5.92488i) q^{94} +(-7.39365 - 11.9609i) q^{95} +(-0.0551225 + 0.383386i) q^{96} +(5.50521 + 14.7600i) q^{97} +(-1.60681 - 1.20284i) q^{98} +(17.0118 + 4.99511i) 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 $\left(\mathbb{Z}/230\mathbb{Z}\right)^\times$.

$n$	$47$	$51$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	0.0713392	−	0.997452i	0.0504444	−	0.705305i
$2$	0.0713392	−	0.997452i	0.0504444	−	0.705305i
$3$	−0.378476	+	0.0823325i	−0.218513	+	0.0475347i	−0.320489	−	0.947252i	$-0.603847\pi$
$3$	−0.378476	+	0.0823325i	−0.218513	+	0.0475347i	0.101976	+	0.994787i	$0.467484\pi$
$4$	−0.989821	−	0.142315i	−0.494911	−	0.0711574i
$5$	−1.71533	+	1.43445i	−0.767118	+	0.641506i
$5$	−1.71533	+	1.43445i	−0.767118	+	0.641506i
$6$	0.0551225	+	0.383386i	0.0225037	+	0.156517i
$7$	−2.63408	+	1.43832i	−0.995590	+	0.543633i	−0.892504	−	0.451039i	$-0.851053\pi$
$7$	−2.63408	+	1.43832i	−0.995590	+	0.543633i	−0.103086	+	0.994672i	$0.532872\pi$
$8$	−0.212565	+	0.977147i	−0.0751532	+	0.345474i
$9$	−2.59243	+	1.18392i	−0.864143	+	0.394641i
$10$	1.30842	+	1.81329i	0.413760	+	0.573413i
$11$	−4.70158	−	4.07395i	−1.41758	−	1.22834i	−0.936029	−	0.351924i	$-0.885528\pi$
$11$	−4.70158	−	4.07395i	−1.41758	−	1.22834i	−0.481552	−	0.876417i	$-0.659927\pi$
$12$	0.386341	−	0.0276317i	0.111527	−	0.00797658i
$13$	1.13613	−	2.08067i	0.315106	−	0.577074i	−0.671342	−	0.741148i	$-0.734282\pi$
$13$	1.13613	−	2.08067i	0.315106	−	0.577074i	0.986448	+	0.164074i	$0.0524635\pi$
$14$	1.24674	+	2.72998i	0.333205	+	0.729618i
$15$	0.531110	−	0.684133i	0.137132	−	0.176642i
$16$	0.959493	+	0.281733i	0.239873	+	0.0704331i
$17$	3.38530	+	2.53420i	0.821055	+	0.614634i	0.925008	−	0.379948i	$-0.124058\pi$
$17$	3.38530	+	2.53420i	0.821055	+	0.614634i	−0.103953	+	0.994582i	$0.533149\pi$
$18$	0.995965	+	2.67029i	0.234751	+	0.629392i
$19$	−0.894953	+	6.22454i	−0.205316	+	1.42801i	0.582868	+	0.812567i	$0.301931\pi$
$19$	−0.894953	+	6.22454i	−0.205316	+	1.42801i	−0.788184	+	0.615440i	$0.788978\pi$
$20$	1.90201	−	1.17573i	0.425303	−	0.262902i
$21$	0.878518	−	0.761240i	0.191708	−	0.166116i
$22$	−4.39897	+	4.39897i	−0.937864	+	0.937864i
$23$	3.39017	−	3.39216i	0.706899	−	0.707314i
$23$	3.39017	−	3.39216i	0.706899	−	0.707314i
$24$		−	0.387328i		−	0.0790630i
$25$	0.884707	−	4.92111i	0.176941	−	0.984221i
$26$	−1.99432	−	1.28167i	−0.391118	−	0.251356i
$27$	1.81391	−	1.35788i	0.349088	−	0.261324i
$28$	2.81197	−	1.04881i	0.531411	−	0.198206i
$29$	−5.28457	+	0.759806i	−0.981320	+	0.141092i	−0.614259	−	0.789105i	$-0.710545\pi$
$29$	−5.28457	+	0.759806i	−0.981320	+	0.141092i	−0.367061	+	0.930197i	$0.619636\pi$
$30$	−0.644501	−	0.578562i	−0.117669	−	0.105630i
$31$	−1.87848	+	1.20723i	−0.337385	+	0.216824i	−0.698352	−	0.715754i	$-0.746083\pi$
$31$	−1.87848	+	1.20723i	−0.337385	+	0.216824i	0.360967	+	0.932579i	$0.382447\pi$
$32$	0.349464	−	0.936950i	0.0617771	−	0.165631i
$33$	2.11486	+	1.15480i	0.368149	+	0.201025i
$34$	2.76925	−	3.19588i	0.474922	−	0.548089i
$35$	2.45512	−	6.24565i	0.414992	−	1.05571i
$36$	2.73453	−	0.802931i	0.455755	−	0.133822i
$37$	1.65191	+	0.616132i	0.271573	+	0.101291i	0.481561	−	0.876412i	$-0.340070\pi$
$37$	1.65191	+	0.616132i	0.271573	+	0.101291i	−0.209988	+	0.977704i	$0.567343\pi$
$38$	6.14483	+	1.33673i	0.996824	+	0.216846i
$39$	−0.258692	+	0.881025i	−0.0414239	+	0.141077i
$40$	−1.03705	−	1.98104i	−0.163972	−	0.313230i
$41$	−3.35678	+	7.35032i	−0.524241	+	1.14793i	0.443568	+	0.896241i	$0.353713\pi$
$41$	−3.35678	+	7.35032i	−0.524241	+	1.14793i	−0.967809	+	0.251687i	$0.919015\pi$
$42$	−0.696628	−	0.930586i	−0.107492	−	0.143592i
$43$	0.416347	+	1.91391i	0.0634923	+	0.291869i	0.997934	−	0.0642467i	$-0.0204645\pi$
$43$	0.416347	+	1.91391i	0.0634923	+	0.291869i	−0.934442	+	0.356116i	$0.884101\pi$
$44$	4.07395	+	4.70158i	0.614171	+	0.708791i
$45$	2.74859	−	5.74953i	0.409736	−	0.857089i
$46$	−3.14167	−	3.62353i	−0.463213	−	0.534260i
$47$	−6.39758	−	6.39758i	−0.933183	−	0.933183i	0.0647200	−	0.997903i	$-0.479385\pi$
$47$	−6.39758	−	6.39758i	−0.933183	−	0.933183i	−0.997903	+	0.0647200i	$0.979385\pi$
$48$	−0.386341	−	0.0276317i	−0.0557636	−	0.00398829i
$49$	1.08515	−	1.68852i	0.155021	−	0.241217i
$50$	−4.84545	−	1.23352i	−0.685251	−	0.174446i
$51$	−1.48990	−	0.680415i	−0.208628	−	0.0952772i
$52$	−1.42068	+	1.89780i	−0.197013	+	0.263178i
$53$	−0.221243	−	0.405176i	−0.0303900	−	0.0556552i	0.862043	−	0.506836i	$-0.169185\pi$
$53$	−0.221243	−	0.405176i	−0.0303900	−	0.0556552i	−0.892433	+	0.451180i	$0.851003\pi$
$54$	−1.22502	−	1.90616i	−0.166704	−	0.259396i
$55$	13.9086	+	0.243970i	1.87544	+	0.0328970i
$56$	−0.845533	−	2.87962i	−0.112989	−	0.384806i
$57$	−0.173763	−	2.42952i	−0.0230155	−	0.321798i
$58$	0.380874	+	5.32531i	0.0500111	+	0.699247i
$59$	−3.35242	−	11.4173i	−0.436448	−	1.48641i	−0.825082	−	0.565013i	$-0.808871\pi$
$59$	−3.35242	−	11.4173i	−0.436448	−	1.48641i	0.388634	−	0.921392i	$-0.372947\pi$
$60$	−0.623066	+	0.601585i	−0.0804375	+	0.0776642i
$61$	3.37239	+	5.24755i	0.431791	+	0.671879i	0.987162	−	0.159723i	$-0.0510601\pi$
$61$	3.37239	+	5.24755i	0.431791	+	0.671879i	−0.555371	+	0.831603i	$0.687424\pi$
$62$	1.07014	+	1.95982i	0.135908	+	0.248897i
$63$	5.12582	−	6.84729i	0.645792	−	0.862677i
$64$	−0.909632	−	0.415415i	−0.113704	−	0.0519269i
$65$	1.03578	+	5.19876i	0.128472	+	0.644827i
$66$	1.30273	−	2.02709i	0.160355	−	0.249517i
$67$	−14.3108	−	1.02353i	−1.74834	−	0.125044i	−0.839814	−	0.542874i	$-0.817336\pi$
$67$	−14.3108	−	1.02353i	−1.74834	−	0.125044i	−0.908525	+	0.417830i	$0.862791\pi$
$68$	−2.99018	−	2.99018i	−0.362613	−	0.362613i
$69$	−1.00381	+	1.56297i	−0.120845	+	0.188160i
$70$	−6.05459	−	2.89443i	−0.723662	−	0.345950i
$71$	0.153656	+	0.177328i	0.0182356	+	0.0210450i	0.764794	−	0.644275i	$-0.222841\pi$
$71$	0.153656	+	0.177328i	0.0182356	+	0.0210450i	−0.746559	+	0.665320i	$0.768295\pi$
$72$	−0.605806	−	2.78485i	−0.0713949	−	0.328197i
$73$	6.66318	+	8.90097i	0.779866	+	1.04178i	0.997831	+	0.0658228i	$0.0209672\pi$
$73$	6.66318	+	8.90097i	0.779866	+	1.04178i	−0.217965	+	0.975957i	$0.569942\pi$
$74$	0.732408	−	1.60375i	0.0851407	−	0.186432i
$75$	0.0703264	+	1.93536i	0.00812059	+	0.223476i
$76$	1.77169	−	6.03382i	0.203227	−	0.692126i
$77$	18.2440	+	3.96874i	2.07910	+	0.452280i
$78$	0.860326	+	0.320885i	0.0974127	+	0.0363331i
$79$	−9.47630	+	2.78249i	−1.06617	+	0.313055i	−0.767332	−	0.641250i	$-0.778416\pi$
$79$	−9.47630	+	2.78249i	−1.06617	+	0.313055i	−0.298835	+	0.954305i	$0.596598\pi$
$80$	−2.04998	+	0.893081i	−0.229194	+	0.0998494i
$81$	5.02429	−	5.79834i	0.558254	−	0.644260i
$82$	7.09212	+	3.87259i	0.783194	+	0.427656i
$83$	−2.55053	+	6.83823i	−0.279957	+	0.750593i	0.718525	+	0.695502i	$0.244818\pi$
$83$	−2.55053	+	6.83823i	−0.279957	+	0.750593i	−0.998481	+	0.0550916i	$0.982455\pi$
$84$	−0.977912	+	0.628466i	−0.106699	+	0.0685712i
$85$	−9.44208	+	0.509050i	−1.02414	+	0.0552142i
$86$	1.93874	−	0.278749i	0.209060	−	0.0300582i
$87$	1.93753	−	0.722660i	0.207725	−	0.0774773i
$88$	4.98024	−	3.72816i	0.530895	−	0.397423i
$89$	−3.96856	−	2.55044i	−0.420667	−	0.270346i	0.313136	−	0.949708i	$-0.398620\pi$
$89$	−3.96856	−	2.55044i	−0.420667	−	0.270346i	−0.733803	+	0.679362i	$0.762257\pi$
$90$	−5.53880	−	3.15176i	−0.583841	−	0.332224i
$91$			7.11478i			0.745831i
$92$	−3.83842	+	2.87516i	−0.400183	+	0.299756i
$93$	0.611567	−	0.611567i	0.0634165	−	0.0634165i
$94$	−6.83768	+	5.92488i	−0.705253	+	0.611105i
$95$	−7.39365	−	11.9609i	−0.758572	−	1.22716i
$96$	−0.0551225	+	0.383386i	−0.00562592	+	0.0391291i
$97$	5.50521	+	14.7600i	0.558969	+	1.49866i	0.841964	+	0.539534i	$0.181399\pi$
$97$	5.50521	+	14.7600i	0.558969	+	1.49866i	−0.282995	+	0.959122i	$0.591328\pi$
$98$	−1.60681	−	1.20284i	−0.162312	−	0.121505i
$99$	17.0118	+	4.99511i	1.70975	+	0.502027i
$100$	−1.57605	+	4.74511i	−0.157605	+	0.474511i
$101$	−7.46256	−	16.3407i	−0.742552	−	1.62596i	−0.779310	−	0.626638i	$-0.784430\pi$
$101$	−7.46256	−	16.3407i	−0.742552	−	1.62596i	0.0367583	−	0.999324i	$-0.488297\pi$
$102$	−0.784970	+	1.43757i	−0.0777236	+	0.142340i
$103$	0.516076	−	0.0369105i	0.0508505	−	0.00363690i	−0.0458908	−	0.998946i	$-0.514613\pi$
$103$	0.516076	−	0.0369105i	0.0508505	−	0.00363690i	0.0967413	+	0.995310i	$0.469158\pi$
$104$	1.79162	+	1.55245i	0.175683	+	0.152230i
$105$	−0.414986	+	2.56597i	−0.0404985	+	0.250413i
$106$	−0.419927	+	0.191774i	−0.0407869	+	0.0186268i
$107$	−0.392602	+	1.80476i	−0.0379542	+	0.174473i	−0.992222	−	0.124480i	$-0.960274\pi$
$107$	−0.392602	+	1.80476i	−0.0379542	+	0.174473i	0.954268	+	0.298953i	$0.0966373\pi$
$108$	−1.98870	+	1.08591i	−0.191363	+	0.104492i
$109$	0.675467	+	4.69798i	0.0646980	+	0.449985i	0.996260	+	0.0864027i	$0.0275372\pi$
$109$	0.675467	+	4.69798i	0.0646980	+	0.449985i	−0.931562	+	0.363582i	$0.881554\pi$
$110$	1.23558	−	13.8558i	0.117808	−	1.32110i
$111$	−0.675938	−	0.0971852i	−0.0641572	−	0.00922441i
$112$	−2.93260	+	0.637949i	−0.277105	+	0.0602805i
$113$	−0.412141	+	5.76248i	−0.0387709	+	0.542088i	0.940534	+	0.339699i	$0.110325\pi$
$113$	−0.412141	+	5.76248i	−0.0387709	+	0.542088i	−0.979305	+	0.202389i	$0.935129\pi$
$114$	−2.43573			−0.228127
$115$	−0.949373	+	10.6817i	−0.0885295	+	0.996074i
$116$	5.33891			0.495705
$117$	−0.481989	+	6.73908i	−0.0445599	+	0.623029i
$118$	−11.6274	+	2.52938i	−1.07039	+	0.232848i
$119$	−12.5621	−	1.80616i	−1.15157	−	0.165571i
$120$	0.555603	+	0.664395i	0.0507194	+	0.0606507i
$121$	3.94240	+	27.4200i	0.358400	+	2.49272i
$122$	5.47476	−	2.98945i	0.495662	−	0.270652i
$123$	0.665292	−	3.05830i	0.0599873	−	0.275757i
$124$	2.03117	−	0.927603i	0.182404	−	0.0833012i
$125$	5.54152	+	9.71038i	0.495648	+	0.868523i
$126$	−6.46417	−	5.60124i	−0.575874	−	0.498998i
$127$	12.7538	−	0.912173i	1.13172	−	0.0809422i	0.507112	−	0.861880i	$-0.330713\pi$
$127$	12.7538	−	0.912173i	1.13172	−	0.0809422i	0.624609	+	0.780938i	$0.285259\pi$
$128$	−0.479249	+	0.877679i	−0.0423600	+	0.0775766i
$129$	−0.315155	−	0.690093i	−0.0277478	−	0.0607593i
$130$	5.25940	−	0.662263i	0.461280	−	0.0580843i
$131$	4.97322	+	1.46027i	0.434512	+	0.127584i	0.491672	−	0.870781i	$-0.336386\pi$
$131$	4.97322	+	1.46027i	0.434512	+	0.127584i	−0.0571592	+	0.998365i	$0.518204\pi$
$132$	−1.92899	−	1.44402i	−0.167897	−	0.125686i
$133$	−6.59548	−	17.6832i	−0.571901	−	1.53333i
$134$	−2.04184	+	14.2013i	−0.176388	+	1.22680i
$135$	−1.16365	+	4.93118i	−0.100151	+	0.424408i
$136$	−3.19588	+	2.76925i	−0.274045	+	0.237461i
$137$	−7.95975	+	7.95975i	−0.680047	+	0.680047i	−0.960011	−	0.279963i	$-0.909678\pi$
$137$	−7.95975	+	7.95975i	−0.680047	+	0.680047i	0.279963	+	0.960011i	$0.409678\pi$
$138$	1.48738	+	1.11276i	0.126614	+	0.0947243i
$139$		−	6.08530i		−	0.516148i	−0.966125	−	0.258074i	$-0.916912\pi$
$139$		−	6.08530i		−	0.516148i	0.966125	−	0.258074i	$-0.0830879\pi$
$140$	−3.31898	+	5.83268i	−0.280505	+	0.492951i
$141$	2.94806	+	1.89461i	0.248272	+	0.159555i
$142$	0.187838	−	0.140614i	0.0157630	−	0.0118000i
$143$	−13.8182	+	5.15391i	−1.15553	+	0.430991i
$144$	−2.82097	+	0.405594i	−0.235081	+	0.0337995i
$145$	7.97487	−	8.88377i	0.662277	−	0.737757i
$146$	9.35363	−	6.01122i	0.774112	−	0.497492i
$147$	−0.271682	+	0.728408i	−0.0224080	+	0.0600781i
$148$	−1.54741	−	0.844952i	−0.127197	−	0.0694547i
$149$	10.1703	−	11.7372i	0.833187	−	0.961549i	−0.166513	−	0.986039i	$-0.553251\pi$
$149$	10.1703	−	11.7372i	0.833187	−	0.961549i	0.999700	+	0.0244906i	$0.00779638\pi$
$150$	1.93545	+	0.0679200i	0.158029	+	0.00554565i
$151$	−2.07667	+	0.609766i	−0.168997	+	0.0496221i	−0.365137	−	0.930954i	$-0.618978\pi$
$151$	−2.07667	+	0.609766i	−0.168997	+	0.0496221i	0.196139	+	0.980576i	$0.437160\pi$
$152$	−5.89205	−	2.19762i	−0.477908	−	0.178251i
$153$	−11.7764	−	2.56181i	−0.952069	−	0.207110i
$154$	5.26014	−	17.9144i	0.423874	−	1.44358i
$155$	1.49051	−	4.76538i	0.119720	−	0.382764i
$156$	0.381442	−	0.835242i	0.0305398	−	0.0668729i
$157$	−10.0031	−	13.3626i	−0.798335	−	1.06645i	−0.996275	−	0.0862366i	$-0.972516\pi$
$157$	−10.0031	−	13.3626i	−0.798335	−	1.06645i	0.197940	−	0.980214i	$-0.436575\pi$
$158$	2.09937	+	9.65065i	0.167017	+	0.767765i
$159$	0.117094	+	0.135134i	0.00928619	+	0.0107168i
$160$	0.744561	+	2.10847i	0.0588627	+	0.166689i
$161$	−4.05098	+	13.8114i	−0.319262	+	1.08849i
$162$	−5.42513	−	5.42513i	−0.426239	−	0.426239i
$163$	1.76722	+	0.126394i	0.138419	+	0.00989992i	0.140377	−	0.990098i	$-0.455169\pi$
$163$	1.76722	+	0.126394i	0.138419	+	0.00989992i	−0.00195773	+	0.999998i	$0.500623\pi$
$164$	4.36867	−	6.79779i	0.341136	−	0.530818i
$165$	−5.28418	+	1.05280i	−0.411373	+	0.0819601i
$166$	6.63885	+	3.03186i	0.515275	+	0.235318i
$167$	2.78134	−	3.71544i	0.215227	−	0.287509i	−0.679915	−	0.733291i	$-0.737983\pi$
$167$	2.78134	−	3.71544i	0.215227	−	0.287509i	0.895142	+	0.445782i	$0.147074\pi$
$168$	0.557101	+	1.02025i	0.0429813	+	0.0787143i
$169$	3.98994	+	6.20847i	0.306918	+	0.477574i
$170$	−0.165838	+	9.45434i	−0.0127192	+	0.725115i
$171$	−5.04927	−	17.1962i	−0.386127	−	1.31503i
$172$	−0.139730	−	1.95369i	−0.0106543	−	0.148967i
$173$	−0.393795	−	5.50597i	−0.0299397	−	0.418611i	−0.990214	−	0.139555i	$-0.955433\pi$
$173$	−0.393795	−	5.50597i	−0.0299397	−	0.418611i	0.960275	−	0.279056i	$-0.0900217\pi$
$174$	−0.582598	−	1.98415i	−0.0441666	−	0.150418i
$175$	4.74773	+	14.2351i	0.358894	+	1.07607i
$176$	−3.36337	−	5.23351i	−0.253524	−	0.394491i
$177$	2.20883	+	4.04517i	0.166026	+	0.304053i
$178$	−2.82706	+	3.77651i	−0.211897	+	0.283061i
$179$	1.74558	+	0.797181i	0.130471	+	0.0595841i	0.479581	−	0.877498i	$-0.340789\pi$
$179$	1.74558	+	0.797181i	0.130471	+	0.0595841i	−0.349110	+	0.937082i	$0.613516\pi$
$180$	−3.53886	+	5.29984i	−0.263771	+	0.395027i
$181$	5.09071	−	7.92129i	0.378389	−	0.588785i	−0.598867	−	0.800849i	$-0.704382\pi$
$181$	5.09071	−	7.92129i	0.378389	−	0.588785i	0.977256	+	0.212064i	$0.0680184\pi$
$182$	7.09665	+	0.507562i	0.526039	+	0.0376230i
$183$	−1.70842	−	1.70842i	−0.126290	−	0.126290i
$184$	2.59401	+	4.03375i	0.191233	+	0.297372i
$185$	−3.71739	+	1.31272i	−0.273308	+	0.0965130i
$186$	−0.566380	−	0.653637i	−0.0415290	−	0.0479270i
$187$	−5.59206	−	25.7063i	−0.408932	−	1.87983i
$188$	5.42199	+	7.24294i	0.395440	+	0.528245i
$189$	−2.82494	+	6.18575i	−0.205484	+	0.449947i
$190$	−12.4579	+	6.52153i	−0.903789	+	0.473121i
$191$	−3.19451	+	10.8795i	−0.231147	+	0.787214i	0.759470	+	0.650543i	$0.225458\pi$
$191$	−3.19451	+	10.8795i	−0.231147	+	0.787214i	−0.990617	+	0.136671i	$0.956360\pi$
$192$	0.378476	+	0.0823325i	0.0273142	+	0.00594184i
$193$	−8.03629	−	2.99738i	−0.578465	−	0.215756i	0.0431640	−	0.999068i	$-0.486256\pi$
$193$	−8.03629	−	2.99738i	−0.578465	−	0.215756i	−0.621629	+	0.783312i	$0.713529\pi$
$194$	15.1152	−	4.43821i	1.08521	−	0.318645i
$195$	−0.820044	−	1.88233i	−0.0587246	−	0.134796i
$196$	−1.31440	+	1.51690i	−0.0938859	+	0.108350i
$197$	−11.8979	−	6.49672i	−0.847687	−	0.462872i	−0.00418058	−	0.999991i	$-0.501331\pi$
$197$	−11.8979	−	6.49672i	−0.847687	−	0.462872i	−0.843506	+	0.537119i	$0.819513\pi$
$198$	6.19599	−	16.6121i	0.440329	−	1.18057i
$199$	−1.79771	+	1.15532i	−0.127436	+	0.0818981i	−0.602806	−	0.797888i	$-0.705951\pi$
$199$	−1.79771	+	1.15532i	−0.127436	+	0.0818981i	0.475370	+	0.879786i	$0.342314\pi$
$200$	4.62059	+	1.91055i	0.326725	+	0.135096i
$201$	5.50056	−	0.790861i	0.387980	−	0.0557830i
$202$	−16.8315	+	6.27781i	−1.18426	+	0.441705i
$203$	12.8271	−	9.60228i	0.900289	−	0.673948i
$204$	1.37790	+	0.885525i	0.0964726	+	0.0619992i
$205$	−4.78569	−	17.4234i	−0.334247	−	1.21690i
$206$		−	0.517394i		−	0.0360486i
$207$	−4.77272	+	12.8076i	−0.331727	+	0.890192i
$208$	1.67630	−	1.67630i	0.116231	−	0.116231i
$209$	29.5661	−	25.6192i	2.04513	−	1.77212i
$210$	2.52982	+	0.596983i	0.174574	+	0.0411957i
$211$	−1.27131	+	8.84214i	−0.0875204	+	0.608718i	0.898106	+	0.439779i	$0.144943\pi$
$211$	−1.27131	+	8.84214i	−0.0875204	+	0.608718i	−0.985627	+	0.168939i	$0.945966\pi$
$212$	0.161328	+	0.432538i	0.0110801	+	0.0297068i
$213$	−0.0727549	−	0.0544636i	−0.00498508	−	0.00373179i
$214$	1.77215	+	0.520352i	0.121142	+	0.0355705i
$215$	−3.45959	−	2.68576i	−0.235942	−	0.183168i
$216$	0.941272	+	2.06110i	0.0640455	+	0.140240i
$217$	3.21170	−	5.88178i	0.218024	−	0.399282i
$218$	4.73419	−	0.338596i	0.320640	−	0.0229326i
$219$	−3.25470	−	2.82021i	−0.219932	−	0.190572i
$220$	−13.7323	−	2.22089i	−0.925835	−	0.149733i
$221$	9.11898	−	4.16450i	0.613409	−	0.280134i
$222$	−0.145158	+	0.667283i	−0.00974240	+	0.0447851i
$223$	9.78895	−	5.34517i	0.655516	−	0.357939i	−0.116820	−	0.993153i	$-0.537270\pi$
$223$	9.78895	−	5.34517i	0.655516	−	0.357939i	0.772336	+	0.635214i	$0.219088\pi$
$224$	0.427114	+	2.97064i	0.0285378	+	0.198484i
$225$	3.53267	+	13.8051i	0.235511	+	0.920337i
$226$	5.71839	+	0.822181i	0.380382	+	0.0546907i
$227$	21.8373	−	4.75042i	1.44939	−	0.315296i	0.582110	−	0.813110i	$-0.302227\pi$
$227$	21.8373	−	4.75042i	1.44939	−	0.315296i	0.867284	+	0.497814i	$0.165864\pi$
$228$	−0.173763	+	2.42952i	−0.0115077	+	0.160899i
$229$	−9.14235			−0.604144			−0.302072	−	0.953285i	$-0.597678\pi$
$229$	−9.14235			−0.604144			−0.302072	+	0.953285i	$0.597678\pi$
$230$	10.5868	+	1.70898i	0.698070	+	0.112687i
$231$	−7.23168			−0.475809
$232$	0.380874	−	5.32531i	0.0250056	−	0.349624i
$233$	9.17912	−	1.99679i	0.601344	−	0.130814i	0.0984199	−	0.995145i	$-0.468621\pi$
$233$	9.17912	−	1.99679i	0.601344	−	0.130814i	0.502924	+	0.864331i	$0.332258\pi$
$234$	6.68753	+	0.961522i	0.437177	+	0.0628566i
$235$	20.1510	+	1.79695i	1.31450	+	0.117220i
$236$	1.69345	+	11.7782i	0.110234	+	0.766695i
$237$	3.35747	−	1.83331i	0.218091	−	0.119087i
$238$	−2.69773	+	12.4013i	−0.174868	+	0.803856i
$239$	−19.2886	+	8.80879i	−1.24767	+	0.569793i	−0.926167	−	0.377114i	$-0.876917\pi$
$239$	−19.2886	+	8.80879i	−1.24767	+	0.569793i	−0.321507	+	0.946907i	$0.604189\pi$
$240$	0.702339	−	0.506790i	0.0453358	−	0.0327131i
$241$	−10.4862	−	9.08630i	−0.675472	−	0.585300i	0.248095	−	0.968736i	$-0.420195\pi$
$241$	−10.4862	−	9.08630i	−0.675472	−	0.585300i	−0.923568	+	0.383436i	$0.874741\pi$
$242$	27.6314	−	1.97623i	1.77621	−	0.127037i
$243$	−4.68192	+	8.57429i	−0.300345	+	0.550041i
$244$	−2.59126	−	5.67408i	−0.165889	−	0.363245i
$245$	0.560715	+	4.45296i	0.0358228	+	0.284489i
$246$	−3.00304	−	0.881773i	−0.191467	−	0.0562198i
$247$	11.9344	+	8.93400i	0.759369	+	0.568457i
$248$	−0.780337	−	2.09217i	−0.0495515	−	0.132853i
$249$	0.402306	−	2.79810i	0.0254951	−	0.177322i
$250$	10.0810	−	4.83467i	0.637577	−	0.305771i
$251$	−0.248730	+	0.215526i	−0.0156997	+	0.0136039i	−0.662675	−	0.748907i	$-0.730579\pi$
$251$	−0.248730	+	0.215526i	−0.0156997	+	0.0136039i	0.646976	+	0.762511i	$0.276034\pi$
$252$	−6.04811	+	6.04811i	−0.380995	+	0.380995i
$253$	−29.7586	+	2.13716i	−1.87091	+	0.134362i
$254$		−	12.7864i		−	0.802291i
$255$	3.53169	−	0.970054i	0.221163	−	0.0607471i
$256$	0.841254	+	0.540641i	0.0525783	+	0.0337901i
$257$	16.8442	−	12.6094i	1.05072	−	0.786556i	0.0731782	−	0.997319i	$-0.476686\pi$
$257$	16.8442	−	12.6094i	1.05072	−	0.786556i	0.977537	+	0.210763i	$0.0675949\pi$
$258$	−0.710817	+	0.265121i	−0.0442535	+	0.0165057i
$259$	−5.23747	+	0.753035i	−0.325441	+	0.0467913i
$260$	−0.285374	−	5.29325i	−0.0176982	−	0.328273i
$261$	12.8003	−	8.22627i	0.792320	−	0.509193i
$262$	1.81133	−	4.85638i	0.111905	−	0.300028i
$263$	−8.63953	−	4.71754i	−0.532736	−	0.290896i	0.190277	−	0.981731i	$-0.439061\pi$
$263$	−8.63953	−	4.71754i	−0.532736	−	0.290896i	−0.723013	+	0.690834i	$0.757243\pi$
$264$	−1.57795	+	1.82106i	−0.0971163	+	0.112078i
$265$	0.960709	+	0.377648i	0.0590159	+	0.0231988i
$266$	−18.1086	+	5.31718i	−1.11031	+	0.326017i
$267$	1.71199	+	0.638540i	0.104772	+	0.0390780i
$268$	14.0194	+	3.04974i	0.856374	+	0.186293i
$269$	−2.89358	+	9.85461i	−0.176424	+	0.600846i	0.823036	+	0.567990i	$0.192279\pi$
$269$	−2.89358	+	9.85461i	−0.176424	+	0.600846i	−0.999460	+	0.0328567i	$0.989540\pi$
$270$	4.83560	+	1.51247i	0.294285	+	0.0920461i
$271$	−0.0654882	+	0.143399i	−0.00397813	+	0.00871088i	−0.911611	−	0.411055i	$-0.865160\pi$
$271$	−0.0654882	+	0.143399i	−0.00397813	+	0.00871088i	0.907633	+	0.419766i	$0.137888\pi$
$272$	2.53420	+	3.38530i	0.153659	+	0.205264i
$273$	−0.585777	−	2.69277i	−0.0354529	−	0.162974i
$274$	7.37163	+	8.50731i	0.445336	+	0.513945i
$275$	−24.2078	+	19.5328i	−1.45979	+	1.17787i
$276$	1.21603	−	1.40421i	0.0731965	−	0.0845233i
$277$	−2.77829	−	2.77829i	−0.166931	−	0.166931i	0.618698	−	0.785629i	$-0.287660\pi$
$277$	−2.77829	−	2.77829i	−0.166931	−	0.166931i	−0.785629	+	0.618698i	$0.787660\pi$
$278$	−6.06979	−	0.434120i	−0.364042	−	0.0260368i
$279$	3.44057	−	5.35363i	0.205981	−	0.320513i
$280$	5.58104	+	3.72662i	0.333531	+	0.222708i
$281$	5.59250	+	2.55401i	0.333621	+	0.152360i	0.575181	−	0.818026i	$-0.304932\pi$
$281$	5.59250	+	2.55401i	0.333621	+	0.152360i	−0.241560	+	0.970386i	$0.577659\pi$
$282$	2.10009	−	2.80539i	0.125059	−	0.167059i
$283$	−4.69924	−	8.60601i	−0.279341	−	0.511574i	0.699909	−	0.714232i	$-0.253224\pi$
$283$	−4.69924	−	8.60601i	−0.279341	−	0.511574i	−0.979250	+	0.202658i	$0.935042\pi$
$284$	−0.126855	−	0.197391i	−0.00752747	−	0.0117130i
$285$	3.78309	+	3.91818i	0.224091	+	0.232093i
$286$	4.15500	+	14.1506i	0.245690	+	0.836744i
$287$	−1.73007	−	24.1895i	−0.102123	−	1.42786i
$288$	0.203315	+	2.84272i	0.0119805	+	0.167509i
$289$	0.248603	+	0.846664i	0.0146237	+	0.0498037i
$290$	−8.29221	−	8.58831i	−0.486935	−	0.504323i
$291$	−3.29882	−	5.13307i	−0.193380	−	0.300906i
$292$	−5.32862	−	9.75864i	−0.311834	−	0.571081i
$293$	−8.52151	+	11.3834i	−0.497832	+	0.665026i	−0.977134	−	0.212624i	$-0.931799\pi$
$293$	−8.52151	+	11.3834i	−0.497832	+	0.665026i	0.479302	+	0.877650i	$0.340890\pi$
$294$	0.707171	+	0.322954i	0.0412430	+	0.0188351i
$295$	22.1281	+	14.7755i	1.28834	+	0.860265i
$296$	−0.953191	+	1.48319i	−0.0554031	+	0.0862089i
$297$	−14.0602	−	1.00561i	−0.815856	−	0.0583512i
$298$	−10.9817	−	10.9817i	−0.636156	−	0.636156i
$299$	−3.20629	−	10.9078i	−0.185424	−	0.630812i
$300$	0.205820	−	1.92567i	0.0118830	−	0.111179i
$301$	−3.84951	−	4.44257i	−0.221882	−	0.256065i
$302$	0.460064	+	2.11488i	0.0264737	+	0.121698i
$303$	4.16977	+	5.57017i	0.239547	+	0.319998i
$304$	−2.61236	+	5.72026i	−0.149829	+	0.328080i
$305$	−13.3121	−	4.16374i	−0.762249	−	0.238415i
$306$	−3.39540	+	11.5637i	−0.194102	+	0.661052i
$307$	−7.48211	−	1.62763i	−0.427027	−	0.0928939i	−0.00608452	−	0.999981i	$-0.501937\pi$
$307$	−7.48211	−	1.62763i	−0.427027	−	0.0928939i	−0.420942	+	0.907088i	$0.638300\pi$
$308$	−17.4935	−	6.52473i	−0.996784	−	0.371781i
$309$	−0.192284	+	0.0564596i	−0.0109386	+	0.00321187i
$310$	−4.64690	−	1.82667i	−0.263926	−	0.103748i
$311$	−13.8065	+	15.9335i	−0.782892	+	0.903506i	−0.997315	−	0.0732352i	$-0.976668\pi$
$311$	−13.8065	+	15.9335i	−0.782892	+	0.903506i	0.214422	+	0.976741i	$0.431213\pi$
$312$	−0.805902	−	0.440056i	−0.0456252	−	0.0249133i
$313$	−0.946645	+	2.53805i	−0.0535075	+	0.143459i	−0.960954	−	0.276709i	$-0.910756\pi$
$313$	−0.946645	+	2.53805i	−0.0535075	+	0.143459i	0.907446	+	0.420168i	$0.138029\pi$
$314$	−14.0422	+	9.02435i	−0.792445	+	0.509273i
$315$	1.02963	+	19.0981i	0.0580132	+	1.07606i
$316$	9.77583	−	1.40555i	0.549933	−	0.0790685i
$317$	−28.2294	+	10.5290i	−1.58552	+	0.591368i	−0.979029	−	0.203723i	$-0.934696\pi$
$317$	−28.2294	+	10.5290i	−1.58552	+	0.591368i	−0.606491	+	0.795091i	$0.707423\pi$
$318$	0.143143	−	0.107156i	0.00802707	−	0.00600899i
$319$	27.9413	+	17.9568i	1.56441	+	1.00539i
$320$	2.15621	−	0.592248i	0.120536	−	0.0331077i
$321$		−	0.715383i		−	0.0399288i
$322$	13.4872	+	5.02595i	0.751612	+	0.280085i
$323$	−18.8039	+	18.8039i	−1.04628	+	1.04628i
$324$	−5.79834	+	5.02429i	−0.322130	+	0.279127i
$325$	−9.23406	−	7.43181i	−0.512213	−	0.412243i
$326$	0.252143	−	1.75370i	0.0139649	−	0.0971283i
$327$	−0.642445	−	1.72246i	−0.0355273	−	0.0952523i
$328$	−6.46881	−	4.84249i	−0.357180	−	0.267382i
$329$	26.0535	+	7.65000i	1.43638	+	0.421758i
$330$	0.673145	+	5.34582i	0.0370554	+	0.294278i
$331$	−3.61061	−	7.90612i	−0.198457	−	0.434560i	0.784072	−	0.620670i	$-0.213139\pi$
$331$	−3.61061	−	7.90612i	−0.198457	−	0.434560i	−0.982529	+	0.186110i	$0.940412\pi$
$332$	3.49775	−	6.40565i	0.191964	−	0.351556i
$333$	−5.01192	+	0.358460i	−0.274652	+	0.0196435i
$334$	−3.50755	−	3.03931i	−0.191925	−	0.166304i
$335$	26.0159	−	18.7724i	1.42140	−	1.02565i
$336$	1.05740	−	0.482897i	0.0576858	−	0.0263442i
$337$	0.205432	−	0.944355i	0.0111906	−	0.0514423i	−0.971213	−	0.238213i	$-0.923438\pi$
$337$	0.205432	−	0.944355i	0.0111906	−	0.0514423i	0.982404	+	0.186770i	$0.0598021\pi$
$338$	6.47729	−	3.53687i	0.352318	−	0.192380i
$339$	−0.318454	−	2.21489i	−0.0172960	−	0.120297i
$340$	9.41842	+	0.839880i	0.510786	+	0.0455489i
$341$	13.7500	+	1.97695i	0.744605	+	0.107058i
$342$	−17.5126	+	3.80964i	−0.946975	+	0.206002i
$343$	1.06898	−	14.9463i	0.0577196	−	0.807026i
$344$	−1.95868			−0.105605
$345$	−0.520136	−	4.12094i	−0.0280032	−	0.221864i
$346$	−5.52004			−0.296759
$347$	−1.23235	+	17.2305i	−0.0661561	+	0.924983i	0.850671	+	0.525698i	$0.176196\pi$
$347$	−1.23235	+	17.2305i	−0.0661561	+	0.924983i	−0.916827	+	0.399285i	$0.869259\pi$
$348$	−2.02065	+	0.439566i	−0.108318	+	0.0235632i
$349$	−7.52530	−	1.08197i	−0.402820	−	0.0579168i	−0.0620725	−	0.998072i	$-0.519771\pi$
$349$	−7.52530	−	1.08197i	−0.402820	−	0.0579168i	−0.340747	+	0.940155i	$0.610680\pi$
$350$	14.5375	−	3.72011i	0.777063	−	0.198848i
$351$	−0.764453	−	5.31689i	−0.0408035	−	0.283794i
$352$	−5.46012	+	2.98145i	−0.291025	+	0.158912i
$353$	−1.99273	+	9.16041i	−0.106062	+	0.487559i	0.893218	+	0.449624i	$0.148442\pi$
$353$	−1.99273	+	9.16041i	−0.106062	+	0.487559i	−0.999280	+	0.0379358i	$0.987922\pi$
$354$	4.19244	−	1.91462i	0.222825	−	0.101761i
$355$	−0.517938	−	0.0837646i	−0.0274893	−	0.00444576i
$356$	3.56520	+	3.08927i	0.188955	+	0.163731i
$357$	4.90318	−	0.350682i	0.259504	−	0.0185601i
$358$	0.919678	−	1.68426i	0.0486065	−	0.0890161i
$359$	12.9780	+	28.4178i	0.684952	+	1.49984i	0.857309	+	0.514802i	$0.172135\pi$
$359$	12.9780	+	28.4178i	0.684952	+	1.49984i	−0.172357	+	0.985035i	$0.555138\pi$
$360$	5.03388	+	3.90793i	0.265309	+	0.205966i
$361$	−19.7136	−	5.78842i	−1.03756	−	0.304654i
$362$	−7.53794	−	5.64283i	−0.396185	−	0.296581i
$363$	−3.74966	−	10.0532i	−0.196806	−	0.527658i
$364$	1.01254	−	7.04236i	0.0530714	−	0.369120i
$365$	−24.1975	−	5.71009i	−1.26656	−	0.298880i
$366$	−1.82594	+	1.58219i	−0.0954434	+	0.0827022i
$367$	1.36462	−	1.36462i	0.0712325	−	0.0712325i	−0.670593	−	0.741825i	$-0.733960\pi$
$367$	1.36462	−	1.36462i	0.0712325	−	0.0712325i	0.741825	+	0.670593i	$0.233960\pi$
$368$	4.20853	−	2.29963i	0.219385	−	0.119877i
$369$		−	23.0294i		−	1.19886i
$370$	1.04418	+	3.80156i	0.0542843	+	0.197634i
$371$	1.16554	+	0.749050i	0.0605120	+	0.0388887i
$372$	−0.692377	+	0.518307i	−0.0358981	+	0.0268730i
$373$	20.3261	−	7.58125i	1.05245	−	0.392542i	0.237081	−	0.971490i	$-0.423809\pi$
$373$	20.3261	−	7.58125i	1.05245	−	0.392542i	0.815365	+	0.578948i	$0.196536\pi$
$374$	−26.0397	+	3.74395i	−1.34648	+	0.193595i
$375$	−2.89681	−	3.21890i	−0.149591	−	0.166224i
$376$	7.61128	−	4.89147i	0.392522	−	0.252259i
$377$	−4.42306	+	11.8587i	−0.227799	+	0.610753i
$378$	5.96846	+	3.25903i	0.306985	+	0.167626i
$379$	−11.3615	+	13.1118i	−0.583599	+	0.673509i	−0.968374	−	0.249501i	$-0.919733\pi$
$379$	−11.3615	+	13.1118i	−0.583599	+	0.673509i	0.384776	+	0.923010i	$0.374279\pi$
$380$	5.61618	+	12.8914i	0.288104	+	0.661314i
$381$	−4.75193	+	1.39529i	−0.243449	+	0.0714830i
$382$	10.6239	+	3.96251i	0.543566	+	0.202740i
$383$	−7.33079	−	1.59472i	−0.374586	−	0.0814862i	0.0213311	−	0.999772i	$-0.493210\pi$
$383$	−7.33079	−	1.59472i	−0.374586	−	0.0814862i	−0.395917	+	0.918286i	$0.629573\pi$
$384$	0.109123	−	0.371639i	0.00556866	−	0.0189651i
$385$	−36.9874	+	19.3624i	−1.88505	+	0.986799i
$386$	−3.56305	+	7.80199i	−0.181354	+	0.397111i
$387$	−3.34528	−	4.46877i	−0.170050	−	0.227160i
$388$	−3.34860	−	15.3933i	−0.170000	−	0.781475i
$389$	−19.9423	−	23.0147i	−1.01112	−	1.16689i	−0.985922	−	0.167207i	$-0.946525\pi$
$389$	−19.9423	−	23.0147i	−1.01112	−	1.16689i	−0.0251937	−	0.999683i	$-0.508020\pi$
$390$	−1.93603	+	0.683671i	−0.0980349	+	0.0346190i
$391$	20.0731	−	2.89210i	1.01514	−	0.146260i
$392$	1.41927	+	1.41927i	0.0716839	+	0.0716839i
$393$	−2.00247	−	0.143220i	−0.101011	−	0.00722448i
$394$	−7.32895	+	11.4041i	−0.369227	+	0.574529i
$395$	12.2636	−	18.3662i	0.617050	−	0.924102i
$396$	−16.1277	−	7.36529i	−0.810449	−	0.370120i
$397$	0.938388	−	1.25354i	0.0470964	−	0.0629134i	−0.776375	−	0.630272i	$-0.782944\pi$
$397$	0.938388	−	1.25354i	0.0470964	−	0.0629134i	0.823471	+	0.567358i	$0.192034\pi$
$398$	1.02412	+	1.87554i	0.0513347	+	0.0940125i
$399$	3.95213	+	6.14964i	0.197854	+	0.307867i
$400$	2.23531	−	4.47252i	0.111765	−	0.223626i
$401$	11.1229	+	37.8811i	0.555451	+	1.89169i	0.438972	+	0.898501i	$0.355343\pi$
$401$	11.1229	+	37.8811i	0.555451	+	1.89169i	0.116480	+	0.993193i	$0.462839\pi$
$402$	−0.396441	−	5.54296i	−0.0197727	−	0.276458i
$403$	0.377638	+	5.28007i	0.0188115	+	0.263019i
$404$	5.06107	+	17.2364i	0.251798	+	0.857544i
$405$	−0.300882	+	17.1531i	−0.0149509	+	0.852347i
$406$	−8.66274	−	13.4795i	−0.429924	−	0.668975i
$407$	−5.25652	−	9.62660i	−0.260556	−	0.477173i
$408$	0.981567	−	1.31122i	0.0485948	−	0.0649151i
$409$	19.6874	+	8.99094i	0.973480	+	0.444573i	0.837679	−	0.546163i	$-0.183912\pi$
$409$	19.6874	+	8.99094i	0.973480	+	0.444573i	0.135801	+	0.990736i	$0.456639\pi$
$410$	−17.7204	+	3.53053i	−0.875147	+	0.174360i
$411$	2.35723	−	3.66792i	0.116274	−	0.180925i
$412$	−0.516076	−	0.0369105i	−0.0254252	−	0.00181845i
$413$	25.2523	+	25.2523i	1.24258	+	1.24258i
$414$	12.4345	+	5.67425i	0.611124	+	0.278874i
$415$	−5.43410	−	15.3884i	−0.266750	−	0.755388i
$416$	−1.55245	−	1.79162i	−0.0761149	−	0.0878413i
$417$	0.501018	+	2.30314i	0.0245349	+	0.112785i
$418$	−23.4447	−	31.3185i	−1.14672	−	1.53184i
$419$	−16.6581	+	36.4762i	−0.813802	+	1.78198i	−0.223682	+	0.974662i	$0.571808\pi$
$419$	−16.6581	+	36.4762i	−0.813802	+	1.78198i	−0.590120	+	0.807316i	$0.700920\pi$
$420$	0.775938	−	2.48079i	0.0378619	−	0.121050i
$421$	5.66287	−	19.2860i	0.275991	−	0.939940i	−0.698518	−	0.715593i	$-0.746157\pi$
$421$	5.66287	−	19.2860i	0.275991	−	0.939940i	0.974509	−	0.224348i	$-0.0720251\pi$
$422$	8.72892	+	1.89886i	0.424917	+	0.0924350i
$423$	24.1595	+	9.01104i	1.17468	+	0.438132i
$424$	0.442945	−	0.130060i	0.0215113	−	0.00631629i
$425$	15.4661	−	14.4174i	0.750215	−	0.699346i
$426$	−0.0595151	+	0.0686841i	−0.00288352	+	0.00332776i
$427$	−16.4308	−	8.97190i	−0.795142	−	0.434181i
$428$	0.645450	−	1.73052i	0.0311990	−	0.0836477i
$429$	4.80551	−	3.08832i	0.232012	−	0.149105i
$430$	−2.92573	+	3.25917i	−0.141091	+	0.157171i
$431$	1.56727	−	0.225340i	0.0754930	−	0.0108543i	−0.104465	−	0.994529i	$-0.533313\pi$
$431$	1.56727	−	0.225340i	0.0754930	−	0.0108543i	0.179958	+	0.983674i	$0.442404\pi$
$432$	2.12300	−	0.791837i	0.102143	−	0.0380973i
$433$	−4.24488	+	3.17768i	−0.203996	+	0.152709i	−0.696391	−	0.717662i	$-0.745212\pi$
$433$	−4.24488	+	3.17768i	−0.203996	+	0.152709i	0.492396	+	0.870372i	$0.336121\pi$
$434$	−5.63768	−	3.62312i	−0.270617	−	0.173915i
$435$	−2.28688	+	4.01889i	−0.109647	+	0.192691i
$436$		−	4.74629i		−	0.227306i
$437$	18.0806	+	24.1381i	0.864912	+	1.15468i
$438$	−3.04521	+	3.04521i	−0.145506	+	0.145506i
$439$	−3.15279	+	2.73191i	−0.150475	+	0.130387i	−0.726845	−	0.686802i	$-0.759014\pi$
$439$	−3.15279	+	2.73191i	−0.150475	+	0.130387i	0.576370	+	0.817189i	$0.304469\pi$
$440$	−3.19489	+	13.5389i	−0.152310	+	0.645443i
$441$	−0.814088	+	5.66210i	−0.0387661	+	0.269624i
$442$	−3.50335	−	9.39284i	−0.166637	−	0.446772i
$443$	21.6410	+	16.2003i	1.02820	+	0.769699i	0.973473	−	0.228803i	$-0.0734811\pi$
$443$	21.6410	+	16.2003i	1.02820	+	0.769699i	0.0547244	+	0.998501i	$0.482572\pi$
$444$	0.655227	+	0.192392i	0.0310957	+	0.00913052i
$445$	10.4659	−	1.31786i	0.496130	−	0.0624726i
$446$	−4.63321	−	10.1453i	−0.219389	−	0.480395i
$447$	−2.88288	+	5.27960i	−0.136356	+	0.249717i
$448$	2.99354	−	0.214103i	0.141432	−	0.0101154i
$449$	−26.5755	−	23.0278i	−1.25418	−	1.08675i	−0.992583	−	0.121572i	$-0.961207\pi$
$449$	−26.5755	−	23.0278i	−1.25418	−	1.08675i	−0.261593	−	0.965178i	$-0.584248\pi$
$450$	14.0219	−	2.53883i	0.660998	−	0.119682i
$451$	45.7270	−	20.8828i	2.15320	−	0.983334i
$452$	1.22803	−	5.64517i	0.0577617	−	0.265526i
$453$	0.735768	−	0.401760i	0.0345694	−	0.0188763i
$454$	−3.18046	−	22.1206i	−0.149266	−	1.03817i
$455$	−10.2058	−	12.2042i	−0.478455	−	0.572141i
$456$	2.41094	+	0.346641i	0.112903	+	0.0162329i
$457$	7.03911	−	1.53126i	0.329276	−	0.0716295i	−0.0448886	−	0.998992i	$-0.514293\pi$
$457$	7.03911	−	1.53126i	0.329276	−	0.0716295i	0.374164	+	0.927362i	$0.377930\pi$
$458$	−0.652208	+	9.11906i	−0.0304757	+	0.426106i
$459$	9.58178			0.447239
$460$	2.45987	−	10.4379i	0.114692	−	0.486668i
$461$	−18.1428			−0.844993			−0.422496	−	0.906365i	$-0.638846\pi$
$461$	−18.1428			−0.844993			−0.422496	+	0.906365i	$0.638846\pi$
$462$	−0.515902	+	7.21325i	−0.0240019	+	0.335591i
$463$	29.4604	−	6.40871i	1.36914	−	0.297838i	0.532889	−	0.846185i	$-0.321106\pi$
$463$	29.4604	−	6.40871i	1.36914	−	0.297838i	0.836251	+	0.548347i	$0.184743\pi$
$464$	−5.28457	−	0.759806i	−0.245330	−	0.0352731i
$465$	−0.171776	+	1.92630i	−0.00796593	+	0.0893300i
$466$	−1.33688	−	9.29818i	−0.0619296	−	0.430730i
$467$	22.7528	−	12.4240i	1.05288	−	0.574913i	0.142969	−	0.989727i	$-0.454335\pi$
$467$	22.7528	−	12.4240i	1.05288	−	0.574913i	0.909906	+	0.414814i	$0.136153\pi$
$468$	1.43615	−	6.60190i	0.0663863	−	0.305173i
$469$	39.1679	−	17.8874i	1.80861	−	0.825963i
$470$	3.22992	−	19.9714i	0.148985	−	0.921214i
$471$	4.88612	+	4.23384i	0.225140	+	0.195085i
$472$	11.8690	−	0.848887i	0.546314	−	0.0390732i
$473$	5.83970	−	10.6946i	0.268509	−	0.491738i
$474$	−1.58912	−	3.47970i	−0.0729909	−	0.159828i
$475$	29.8398	+	9.91105i	1.36915	+	0.454750i
$476$	12.1772	+	3.57556i	0.558142	+	0.163885i
$477$	1.05325	+	0.788456i	0.0482252	+	0.0361009i
$478$	7.41032	+	19.8678i	0.338940	+	0.908733i
$479$	0.274662	−	1.91031i	0.0125496	−	0.0872845i	−0.982584	−	0.185819i	$-0.940506\pi$
$479$	0.274662	−	1.91031i	0.0125496	−	0.0872845i	0.995134	+	0.0985342i	$0.0314154\pi$
$480$	−0.455394	−	0.736703i	−0.0207858	−	0.0336257i
$481$	3.15876	−	2.73708i	0.144027	−	0.124800i
$482$	−9.81122	+	9.81122i	−0.446889	+	0.446889i
$483$	0.396077	−	5.56081i	0.0180221	−	0.253025i
$484$		−	27.7019i		−	1.25918i
$485$	−30.6158	−	17.4214i	−1.39019	−	0.791064i
$486$	8.21844	+	5.28167i	0.372796	+	0.239581i
$487$	−7.92313	+	5.93118i	−0.359031	+	0.268767i	−0.763532	−	0.645770i	$-0.776536\pi$
$487$	−7.92313	+	5.93118i	−0.359031	+	0.268767i	0.404500	+	0.914538i	$0.367445\pi$
$488$	−5.84448	+	2.17988i	−0.264567	+	0.0986784i
$489$	−0.679256	+	0.0976623i	−0.0307170	+	0.00441644i
$490$	4.48161	−	0.241617i	0.202459	−	0.0109151i
$491$	−9.09944	+	5.84786i	−0.410652	+	0.263910i	−0.729616	−	0.683857i	$-0.760301\pi$
$491$	−9.09944	+	5.84786i	−0.410652	+	0.263910i	0.318964	+	0.947767i	$0.396665\pi$
$492$	−1.09376	+	2.93249i	−0.0493105	+	0.132207i
$493$	−19.8153	−	10.8200i	−0.892438	−	0.487308i
$494$	9.76263	−	11.2667i	0.439241	−	0.506912i
$495$	−36.3460	+	15.8343i	−1.63363	+	0.711698i
$496$	−2.14250	+	0.629096i	−0.0962012	+	0.0282472i
$497$	−0.659795	−	0.246091i	−0.0295959	−	0.0110387i
$498$	−2.76227	−	0.600895i	−0.123780	−	0.0269268i
$499$	−3.63158	+	12.3680i	−0.162572	+	0.553668i	0.837403	+	0.546586i	$0.184073\pi$
$499$	−3.63158	+	12.3680i	−0.162572	+	0.553668i	−0.999975	+	0.00708266i	$0.997745\pi$
$500$	−4.10318	−	10.4002i	−0.183500	−	0.465111i
$501$	−0.746771	+	1.63520i	−0.0333633	+	0.0730554i
$502$	0.197232	+	0.263472i	0.00880291	+	0.0117593i
$503$	1.91143	+	8.78669i	0.0852264	+	0.391779i	0.999924	−	0.0123605i	$-0.00393456\pi$
$503$	1.91143	+	8.78669i	0.0852264	+	0.391779i	−0.914697	+	0.404140i	$0.867571\pi$
$504$	5.60124	+	6.46417i	0.249499	+	0.287937i
$505$	36.2407	+	17.3250i	1.61269	+	0.770954i
$506$	0.00875525	+	29.8353i	0.000389218	+	1.32634i
$507$	−2.02126	−	2.02126i	−0.0897671	−	0.0897671i
$508$	−12.7538	−	0.912173i	−0.565860	−	0.0404711i
$509$	10.6084	−	16.5069i	0.470207	−	0.731657i	−0.522443	−	0.852674i	$-0.674979\pi$
$509$	10.6084	−	16.5069i	0.470207	−	0.731657i	0.992650	+	0.121017i	$0.0386157\pi$
$510$	−0.715634	−	3.59190i	−0.0316888	−	0.159052i
$511$	−30.3538	−	13.8621i	−1.34277	−	0.613224i
$512$	0.599278	−	0.800541i	0.0264846	−	0.0353793i
$513$	6.82880	+	12.5060i	0.301499	+	0.552154i
$514$	−11.3757	−	17.7009i	−0.501759	−	0.780752i
$515$	−0.832294	+	0.803599i	−0.0366753	+	0.0354108i
$516$	0.213736	+	0.727920i	0.00940922	+	0.0320449i
$517$	4.01537	+	56.1422i	0.176596	+	2.46913i
$518$	0.377479	+	5.27785i	0.0165855	+	0.231895i
$519$	0.602363	+	2.05146i	0.0264408	+	0.0900490i
$520$	−5.30012	−	0.0929690i	−0.232426	−	0.00407696i
$521$	−9.87826	−	15.3709i	−0.432775	−	0.673410i	0.554545	−	0.832153i	$-0.312892\pi$
$521$	−9.87826	−	15.3709i	−0.432775	−	0.673410i	−0.987320	+	0.158743i	$0.949256\pi$
$522$	−7.29214	−	13.3546i	−0.319168	−	0.584513i
$523$	−16.2115	+	21.6560i	−0.708880	+	0.946953i	−0.999952	−	0.00974814i	$-0.996897\pi$
$523$	−16.2115	+	21.6560i	−0.708880	+	0.946953i	0.291072	+	0.956701i	$0.405988\pi$
$524$	−4.71478	−	2.15317i	−0.205966	−	0.0940616i
$525$	−2.96891	−	4.99675i	−0.129574	−	0.218076i
$526$	−5.32186	+	8.28097i	−0.232044	+	0.361068i
$527$	−9.41857	−	0.673629i	−0.410279	−	0.0293437i
$528$	1.70385	+	1.70385i	0.0741504	+	0.0741504i
$529$	−0.0134988	−	23.0000i	−0.000586905	−	1.00000i
$530$	0.445222	−	0.931320i	0.0193392	−	0.0404540i
$531$	22.2081	+	25.6295i	0.963751	+	1.11223i
$532$	4.01177	+	18.4418i	0.173932	+	0.799554i
$533$	11.4799	+	15.3353i	0.497248	+	0.664245i
$534$	0.759045	−	1.66208i	0.0328471	−	0.0719251i
$535$	−1.91540	−	3.65893i	−0.0828099	−	0.158189i
$536$	4.04211	−	13.7662i	0.174593	−	0.594608i
$537$	−0.726296	−	0.157996i	−0.0313420	−	0.00681803i
$538$	9.62308	+	3.58922i	0.414880	+	0.154742i
$539$	−11.9809	+	3.51790i	−0.516052	+	0.151526i
$540$	1.85359	−	4.71538i	0.0797656	−	0.202918i
$541$	20.6819	−	23.8682i	0.889185	−	1.02617i	−0.110294	−	0.993899i	$-0.535179\pi$
$541$	20.6819	−	23.8682i	0.889185	−	1.02617i	0.999479	−	0.0322753i	$-0.0102753\pi$
$542$	0.138362	+	0.0755514i	0.00594316	+	0.00324521i
$543$	−1.27453	+	3.41715i	−0.0546954	+	0.146644i
$544$	3.55746	−	2.28624i	0.152525	−	0.0980217i
$545$	−7.89766	−	7.08965i	−0.338299	−	0.303687i
$546$	−2.72770	+	0.392184i	−0.116735	+	0.0167839i
$547$	−1.78282	+	0.664957i	−0.0762279	+	0.0284315i	−0.387289	−	0.921958i	$-0.626588\pi$
$547$	−1.78282	+	0.664957i	−0.0762279	+	0.0284315i	0.311061	+	0.950390i	$0.399316\pi$
$548$	9.01152	−	6.74594i	0.384953	−	0.288172i
$549$	−14.9554	−	9.61124i	−0.638280	−	0.410198i
$550$	17.7560	+	25.5396i	0.757119	+	1.08901i
$551$		−	33.5740i		−	1.43030i
$552$	−1.31388	−	1.31311i	−0.0559224	−	0.0558896i
$553$	20.9592	−	20.9592i	0.891278	−	0.891278i
$554$	−2.96941	+	2.57301i	−0.126158	+	0.109317i
$555$	1.29886	−	0.802895i	0.0551337	−	0.0340810i
$556$	−0.866028	+	6.02336i	−0.0367278	+	0.255447i
$557$	−11.3309	−	30.3792i	−0.480104	−	1.28721i	−0.920970	−	0.389635i	$-0.872601\pi$
$557$	−11.3309	−	30.3792i	−0.480104	−	1.28721i	0.440866	−	0.897573i	$-0.354671\pi$
$558$	−5.09454	−	3.81372i	−0.215669	−	0.161448i
$559$	4.45525	+	1.30818i	0.188437	+	0.0553301i
$560$	4.11528	−	5.30097i	0.173902	−	0.224007i
$561$	4.23292	+	9.26881i	0.178714	+	0.391330i
$562$	2.94647	−	5.39605i	0.124289	−	0.227619i
$563$	17.9483	−	1.28369i	0.756432	−	0.0541011i	0.312204	−	0.950015i	$-0.398933\pi$
$563$	17.9483	−	1.28369i	0.756432	−	0.0541011i	0.444228	+	0.895914i	$0.353478\pi$
$564$	−2.64843	−	2.29487i	−0.111519	−	0.0966316i
$565$	−7.55903	−	10.4757i	−0.318011	−	0.440718i
$566$	−8.91933	+	4.07332i	−0.374907	+	0.171214i
$567$	−4.89454	+	22.4998i	−0.205551	+	0.944904i
$568$	−0.205937	+	0.112450i	−0.00864094	+	0.00471831i
$569$	−4.31097	−	29.9834i	−0.180725	−	1.25697i	−0.855054	−	0.518539i	$-0.826476\pi$
$569$	−4.31097	−	29.9834i	−0.180725	−	1.25697i	0.674329	−	0.738431i	$-0.264433\pi$
$570$	4.17808	−	3.49393i	0.175000	−	0.146345i
$571$	−40.6604	−	5.84608i	−1.70158	−	0.244651i	−0.778060	−	0.628190i	$-0.783796\pi$
$571$	−40.6604	−	5.84608i	−1.70158	−	0.244651i	−0.923525	+	0.383539i	$0.874705\pi$
$572$	14.4110	−	3.13492i	0.602554	−	0.131078i
$573$	0.313310	−	4.38065i	0.0130887	−	0.183004i
$574$	−24.2513			−1.01223
$575$	−13.6939	−	19.6845i	−0.571074	−	0.820899i
$576$	2.84998			0.118749
$577$	2.27399	−	31.7945i	0.0946673	−	1.32362i	−0.698935	−	0.715185i	$-0.746342\pi$
$577$	2.27399	−	31.7945i	0.0946673	−	1.32362i	0.793602	−	0.608437i	$-0.208203\pi$
$578$	0.862242	−	0.187569i	0.0358645	−	0.00780185i
$579$	3.28833	+	0.472791i	0.136658	+	0.0196485i
$580$	−9.15799	+	7.65840i	−0.380265	+	0.317998i
$581$	−3.11725	−	21.6809i	−0.129325	−	0.899477i
$582$	−5.35533	+	2.92423i	−0.221985	+	0.121213i
$583$	−0.610473	+	2.80630i	−0.0252832	+	0.116225i
$584$	−10.1139	+	4.61887i	−0.418517	+	0.191130i
$585$	−8.84011	−	12.2511i	−0.365494	−	0.506522i
$586$	10.7465	+	9.31189i	0.443933	+	0.384670i
$587$	8.19756	−	0.586301i	0.338350	−	0.0241992i	0.0988692	−	0.995100i	$-0.468477\pi$
$587$	8.19756	−	0.586301i	0.338350	−	0.0241992i	0.239480	+	0.970901i	$0.423023\pi$
$588$	0.372580	−	0.682330i	0.0153649	−	0.0281388i
$589$	−5.83327	−	12.7731i	−0.240356	−	0.526306i
$590$	16.3165	−	21.0176i	0.671739	−	0.865281i
$591$	5.03795	+	1.47928i	0.207234	+	0.0608492i
$592$	1.41142	+	1.05657i	0.0580088	+	0.0434248i
$593$	3.46343	+	9.28582i	0.142226	+	0.381323i	0.988459	−	0.151491i	$-0.0484074\pi$
$593$	3.46343	+	9.28582i	0.142226	+	0.381323i	−0.846233	+	0.532814i	$0.821135\pi$
$594$	−2.00609	+	13.9526i	−0.0823107	+	0.572484i
$595$	24.1390	−	14.9216i	0.989604	−	0.611726i
$596$	−11.7372	+	10.1703i	−0.480774	+	0.416593i
$597$	0.585269	−	0.585269i	0.0239535	−	0.0239535i
$598$	−11.1087	+	2.41997i	−0.454269	+	0.0989598i
$599$			32.1611i			1.31407i	0.753862	+	0.657033i	$0.228189\pi$
$599$			32.1611i			1.31407i	−0.753862	+	0.657033i	$0.771811\pi$
$600$	−1.90608	−	0.342672i	−0.0778155	−	0.0139895i
$601$	6.89555	+	4.43150i	0.281275	+	0.180765i	0.673670	−	0.739032i	$-0.264717\pi$
$601$	6.89555	+	4.43150i	0.281275	+	0.180765i	−0.392395	+	0.919797i	$0.628353\pi$
$602$	−4.70587	+	3.52277i	−0.191797	+	0.143577i
$603$	38.3115	−	14.2894i	1.56016	−	0.581911i
$604$	2.14231	−	0.308018i	0.0871695	−	0.0125331i
$605$	−46.0951	−	41.3791i	−1.87403	−	1.68230i
$606$	5.85344	−	3.76178i	0.237780	−	0.152812i
$607$	−4.06467	+	10.8978i	−0.164980	+	0.442328i	−0.992963	−	0.118425i	$-0.962216\pi$
$607$	−4.06467	+	10.8978i	−0.164980	+	0.442328i	0.827983	+	0.560753i	$0.189488\pi$
$608$	5.51932	+	3.01378i	0.223838	+	0.122225i
$609$	−4.06419	+	4.69033i	−0.164689	+	0.190062i
$610$	−5.10281	+	12.9812i	−0.206607	+	0.525591i
$611$	−20.5798	+	6.04276i	−0.832568	+	0.244464i
$612$	11.2920	+	4.21170i	0.456452	+	0.170248i
$613$	−12.5370	−	2.72726i	−0.506365	−	0.110153i	−0.0478766	−	0.998853i	$-0.515245\pi$
$613$	−12.5370	−	2.72726i	−0.506365	−	0.110153i	−0.458489	+	0.888700i	$0.651609\pi$
$614$	−2.15725	+	7.34693i	−0.0870597	+	0.296498i
$615$	3.24578	+	6.20031i	0.130882	+	0.250021i
$616$	−7.75608	+	16.9834i	−0.312501	+	0.684282i
$617$	17.6236	+	23.5424i	0.709500	+	0.947782i	0.999959	−	0.00910616i	$-0.00289862\pi$
$617$	17.6236	+	23.5424i	0.709500	+	0.947782i	−0.290458	+	0.956888i	$0.593808\pi$
$618$	0.0425984	+	0.195822i	0.00171356	+	0.00787710i
$619$	21.9341	+	25.3133i	0.881604	+	1.01743i	0.999702	+	0.0244237i	$0.00777509\pi$
$619$	21.9341	+	25.3133i	0.881604	+	1.01743i	−0.118097	+	0.993002i	$0.537679\pi$
$620$	−2.15352	+	4.50475i	−0.0864874	+	0.180915i
$621$	1.54333	−	10.7565i	0.0619319	−	0.431645i
$622$	14.9080	+	14.9080i	0.597755	+	0.597755i
$623$	14.1219	+	1.01002i	0.565781	+	0.0404654i
$624$	−0.496427	+	0.772455i	−0.0198730	+	0.0309230i
$625$	−23.4346	−	8.70747i	−0.937384	−	0.348299i
$626$	2.46405	+	1.12530i	0.0984834	+	0.0449758i
$627$	−9.08079	+	12.1305i	−0.362652	+	0.484446i
$628$	7.99960	+	14.6502i	0.319219	+	0.584605i
$629$	4.03081	+	6.27207i	0.160719	+	0.250084i
$630$	19.1229	+	0.335433i	0.761874	+	0.0133640i
$631$	−5.86908	−	19.9882i	−0.233644	−	0.795720i	−0.989940	−	0.141489i	$-0.954811\pi$
$631$	−5.86908	−	19.9882i	−0.233644	−	0.795720i	0.756295	−	0.654230i	$-0.227007\pi$
$632$	−0.704571	−	9.85119i	−0.0280263	−	0.391859i
$633$	−0.246835	−	3.45121i	−0.00981083	−	0.137173i
$634$	8.48832	+	28.9086i	0.337114	+	1.14811i
$635$	−20.5686	+	19.8594i	−0.816239	+	0.788097i
$636$	−0.0966709	−	0.150423i	−0.00383325	−	0.00596466i
$637$	−2.28039	−	4.17621i	−0.0903522	−	0.165468i
$638$	19.9043	−	26.5890i	0.788019	−	1.05267i
$639$	−0.608284	−	0.277794i	−0.0240633	−	0.0109894i
$640$	−0.436917	−	2.19297i	−0.0172707	−	0.0866846i
$641$	−18.4341	+	28.6840i	−0.728104	+	1.13295i	0.257891	+	0.966174i	$0.416972\pi$
$641$	−18.4341	+	28.6840i	−0.728104	+	1.13295i	−0.985995	+	0.166777i	$0.946664\pi$
$642$	−0.713561	−	0.0510349i	−0.0281620	−	0.00201419i
$643$	0.861499	+	0.861499i	0.0339742	+	0.0339742i	0.723890	−	0.689916i	$-0.242352\pi$
$643$	0.861499	+	0.861499i	0.0339742	+	0.0339742i	−0.689916	+	0.723890i	$0.742352\pi$
$644$	5.97531	−	13.0943i	0.235460	−	0.515987i
$645$	1.53050	+	0.731662i	0.0602633	+	0.0288092i
$646$	17.4145	+	20.0975i	0.685166	+	0.790724i
$647$	5.63148	+	25.8875i	0.221396	+	1.01774i	0.944884	+	0.327405i	$0.106174\pi$
$647$	5.63148	+	25.8875i	0.221396	+	1.01774i	−0.723488	+	0.690337i	$0.757462\pi$
$648$	4.59784	+	6.14199i	0.180620	+	0.241280i
$649$	−30.7518	+	67.3370i	−1.20711	+	2.64321i
$650$	−8.07162	+	8.68035i	−0.316595	+	0.340471i
$651$	−0.731290	+	2.49054i	−0.0286615	+	0.0976121i
$652$	−1.73124	−	0.376608i	−0.0678006	−	0.0147491i
$653$	13.7392	+	5.12447i	0.537657	+	0.200536i	0.603600	−	0.797288i	$-0.293733\pi$
$653$	13.7392	+	5.12447i	0.537657	+	0.200536i	−0.0659422	+	0.997823i	$0.521005\pi$
$654$	−1.76390	+	0.517929i	−0.0689741	+	0.0202526i
$655$	−10.6254	+	4.62899i	−0.415168	+	0.180870i
$656$	−5.29163	+	6.10687i	−0.206603	+	0.238433i
$657$	−27.8119	−	15.1864i	−1.08505	−	0.592479i
$658$	9.48915	−	25.4414i	0.369926	−	0.991809i
$659$	−5.81615	+	3.73781i	−0.226565	+	0.145605i	−0.648999	−	0.760789i	$-0.724812\pi$
$659$	−5.81615	+	3.73781i	−0.226565	+	0.145605i	0.422434	+	0.906394i	$0.361176\pi$
$660$	5.38022	−	0.290063i	0.209425	−	0.0112907i
$661$	15.3681	−	2.20959i	0.597748	−	0.0859432i	0.163202	−	0.986593i	$-0.447818\pi$
$661$	15.3681	−	2.20959i	0.597748	−	0.0859432i	0.434546	+	0.900649i	$0.356909\pi$
$662$	−8.14356	+	3.03739i	−0.316508	+	0.118051i
$663$	−3.10845	+	2.32695i	−0.120722	+	0.0903714i
$664$	−6.13980	−	3.94581i	−0.238270	−	0.153127i
$665$	36.6790	+	20.8716i	1.42235	+	0.809365i
$666$			5.02473i			0.194704i
$667$	−15.3382	+	20.5020i	−0.593897	+	0.793840i
$668$	−3.28179	+	3.28179i	−0.126976	+	0.126976i
$669$	−3.26480	+	2.82897i	−0.126225	+	0.109374i
$670$	−16.8686	−	27.2888i	−0.651692	−	1.05426i
$671$	5.52263	−	38.4107i	0.213199	−	1.48283i
$672$	−0.406233	−	1.08915i	−0.0156708	−	0.0420150i
$673$	−2.44826	−	1.83275i	−0.0943736	−	0.0706472i	0.551049	−	0.834473i	$-0.314228\pi$
$673$	−2.44826	−	1.83275i	−0.0943736	−	0.0706472i	−0.645422	+	0.763826i	$0.723319\pi$
$674$	−0.927294	−	0.272278i	−0.0357180	−	0.0104878i
$675$	−5.07749	−	10.1278i	−0.195433	−	0.389819i
$676$	−3.06577	−	6.71310i	−0.117914	−	0.258196i
$677$	4.94217	−	9.05091i	0.189943	−	0.347855i	−0.765301	−	0.643672i	$-0.777410\pi$
$677$	4.94217	−	9.05091i	0.189943	−	0.347855i	0.955245	+	0.295817i	$0.0955919\pi$
$678$	−2.23197	+	0.159634i	−0.0857183	+	0.00613069i
$679$	−35.7308	−	30.9609i	−1.37122	−	1.18817i
$680$	1.50964	−	9.33451i	0.0578922	−	0.357962i
$681$	−7.87379	+	3.59584i	−0.301724	+	0.137793i
$682$	2.95283	−	13.5739i	0.113070	−	0.519773i
$683$	−20.2455	+	11.0549i	−0.774672	+	0.423003i	−0.817390	−	0.576084i	$-0.804580\pi$
$683$	−20.2455	+	11.0549i	−0.774672	+	0.423003i	0.0427180	+	0.999087i	$0.486398\pi$
$684$	2.55060	+	17.7398i	0.0975245	+	0.678298i
$685$	2.23573	−	25.0714i	0.0854227	−	0.957931i
$686$	−14.8320	−	2.13252i	−0.566288	−	0.0814199i
$687$	3.46017	−	0.752713i	0.132014	−	0.0287178i
$688$	−0.139730	+	1.95369i	−0.00532717	+	0.0744836i
$689$	−1.09440			−0.0416933
$690$	−4.14754	+	0.224826i	−0.157894	+	0.00855900i
$691$	8.09708			0.308028			0.154014	−	0.988069i	$-0.450780\pi$
$691$	8.09708			0.308028			0.154014	+	0.988069i	$0.450780\pi$
$692$	−0.393795	+	5.50597i	−0.0149698	+	0.209306i
$693$	−51.9950	+	11.3108i	−1.97513	+	0.429662i
$694$	17.0987	+	2.45842i	0.649058	+	0.0933205i
$695$	8.72905	+	10.4383i	0.331112	+	0.395947i
$696$	0.294294	+	2.04686i	0.0111552	+	0.0775861i
$697$	−29.9909	+	16.3763i	−1.13599	+	0.620295i
$698$	−1.61607	+	7.42894i	−0.0611690	+	0.281189i
$699$	−3.30968	+	1.51148i	−0.125184	+	0.0571694i
$700$	−2.67354	−	14.7659i	−0.101050	−	0.558097i
$701$	14.4213	+	12.4962i	0.544686	+	0.471973i	0.883206	−	0.468986i	$-0.155381\pi$
$701$	14.4213	+	12.4962i	0.544686	+	0.471973i	−0.338519	+	0.940960i	$0.609926\pi$
$702$	−5.35788	+	0.383203i	−0.202220	+	0.0144631i
$703$	−5.31352	+	9.73099i	−0.200403	+	0.367011i
$704$	2.58433	+	5.65890i	0.0974007	+	0.213278i
$705$	−7.77462	+	0.978978i	−0.292809	+	0.0368704i
$706$	8.99491	+	2.64114i	0.338528	+	0.0994008i
$707$	43.1601	+	32.3093i	1.62320	+	1.21512i
$708$	−1.61066	−	4.31834i	−0.0605322	−	0.162293i
$709$	−3.04130	+	21.1527i	−0.114219	+	0.794407i	0.849519	+	0.527557i	$0.176892\pi$
$709$	−3.04130	+	21.1527i	−0.114219	+	0.794407i	−0.963738	+	0.266850i	$0.914017\pi$
$710$	−0.120500	+	0.510643i	−0.00452230	+	0.0191641i
$711$	21.2724	−	18.4326i	0.797777	−	0.691277i
$712$	3.33573	−	3.33573i	0.125012	−	0.125012i
$713$	−2.27326	+	10.4648i	−0.0851344	+	0.391910i
$714$		−	4.91570i		−	0.183966i
$715$	16.3097	−	28.6621i	0.609947	−	1.07190i
$716$	−1.61436	−	1.03749i	−0.0603316	−	0.0387728i
$717$	6.57502	−	4.92200i	0.245549	−	0.183815i
$718$	29.2713	−	10.9176i	1.09239	−	0.407442i
$719$	20.2908	−	2.91737i	0.756719	−	0.108800i	0.246852	−	0.969053i	$-0.420604\pi$
$719$	20.2908	−	2.91737i	0.756719	−	0.108800i	0.509867	+	0.860253i	$0.329695\pi$
$720$	4.25708	−	4.74226i	0.158652	−	0.176734i
$721$	−1.30630	+	0.839507i	−0.0486491	+	0.0312649i
$722$	−7.18003	+	19.2504i	−0.267213	+	0.716426i
$723$	4.71686	+	2.57560i	0.175422	+	0.0957876i
$724$	−6.16621	+	7.11618i	−0.229165	+	0.264471i
$725$	−0.936206	+	26.6781i	−0.0347698	+	0.990801i
$726$	−10.2951	+	3.02292i	−0.382087	+	0.112191i
$727$	−15.4358	−	5.75725i	−0.572482	−	0.213525i	0.0465159	−	0.998918i	$-0.485188\pi$
$727$	−15.4358	−	5.75725i	−0.572482	−	0.213525i	−0.618997	+	0.785393i	$0.712461\pi$
$728$	−6.95218	−	1.51235i	−0.257665	−	0.0560516i
$729$	−5.41856	+	18.4539i	−0.200687	+	0.683478i
$730$	−7.42177	+	23.7285i	−0.274692	+	0.878232i
$731$	−3.44079	+	7.53427i	−0.127262	+	0.278665i
$732$	1.44789	+	1.93416i	0.0535157	+	0.0714886i
$733$	4.64224	+	21.3400i	0.171465	+	0.788212i	0.979878	+	0.199596i	$0.0639631\pi$
$733$	4.64224	+	21.3400i	0.171465	+	0.788212i	−0.808413	+	0.588615i	$0.799673\pi$
$734$	−1.26379	−	1.45849i	−0.0466474	−	0.0538339i
$735$	−0.578841	−	1.63917i	−0.0213509	−	0.0604619i
$736$	−1.99354	−	4.36186i	−0.0734829	−	0.160780i
$737$	63.1135	+	63.1135i	2.32482	+	2.32482i
$738$	−22.9707	−	1.64290i	−0.845563	−	0.0604758i
$739$	1.79249	−	2.78918i	0.0659380	−	0.102601i	−0.806719	−	0.590935i	$-0.798759\pi$
$739$	1.79249	−	2.78918i	0.0659380	−	0.102601i	0.872657	+	0.488334i	$0.162395\pi$
$740$	3.86637	−	0.770318i	0.142130	−	0.0283174i
$741$	−5.25246	−	2.39872i	−0.192954	−	0.0881191i
$742$	0.830290	−	1.10914i	0.0304809	−	0.0407177i
$743$	−20.0236	−	36.6704i	−0.734593	−	1.34531i	−0.931085	−	0.364802i	$-0.881137\pi$
$743$	−20.0236	−	36.6704i	−0.734593	−	1.34531i	0.196492	−	0.980505i	$-0.437045\pi$
$744$	0.467593	+	0.727588i	0.0171428	+	0.0266747i
$745$	−0.609056	+	34.7220i	−0.0223141	+	1.27212i
$746$	−6.11188	−	20.8152i	−0.223772	−	0.762097i
$747$	−1.48387	−	20.7473i	−0.0542921	−	0.759103i
$748$	1.87675	+	26.2405i	0.0686209	+	0.959446i
$749$	−1.56167	−	5.31857i	−0.0570623	−	0.194336i
$750$	−3.41736	+	2.65980i	−0.124784	+	0.0971222i
$751$	−16.7692	−	26.0934i	−0.611918	−	0.952164i	−0.999539	−	0.0303447i	$-0.990339\pi$
$751$	−16.7692	−	26.0934i	−0.611918	−	0.952164i	0.387621	−	0.921819i	$-0.373297\pi$
$752$	−4.33603	−	7.94084i	−0.158119	−	0.289573i
$753$	0.0763936	−	0.102050i	0.00278394	−	0.00371891i
$754$	11.5129	+	5.25778i	0.419276	+	0.191477i
$755$	2.68750	−	4.02483i	0.0978081	−	0.146479i
$756$	3.67651	−	5.72076i	0.133713	−	0.208062i
$757$	−27.4921	−	1.96627i	−0.999217	−	0.0714654i	−0.437863	−	0.899042i	$-0.644265\pi$
$757$	−27.4921	−	1.96627i	−0.999217	−	0.0714654i	−0.561353	+	0.827576i	$0.689719\pi$
$758$	12.2679	+	12.2679i	0.445590	+	0.445590i
$759$	11.0870	−	3.25897i	0.402432	−	0.118293i
$760$	13.2592	−	4.68221i	0.480961	−	0.169842i
$761$	−9.58097	−	11.0570i	−0.347310	−	0.400817i	0.555038	−	0.831825i	$-0.312704\pi$
$761$	−9.58097	−	11.0570i	−0.347310	−	0.400817i	−0.902348	+	0.431008i	$0.858158\pi$
$762$	1.05274	+	4.83936i	0.0381367	+	0.175311i
$763$	−8.53642	−	11.4033i	−0.309039	−	0.412828i
$764$	4.71031	−	10.3141i	0.170413	−	0.373153i
$765$	23.8753	−	12.4984i	0.863212	−	0.451880i
$766$	−2.11363	+	7.19835i	−0.0763684	+	0.260087i
$767$	−27.5644	−	5.99627i	−0.995294	−	0.216513i
$768$	−0.362907	−	0.135357i	−0.0130953	−	0.00488429i
$769$	19.4178	−	5.70159i	0.700225	−	0.205604i	0.0878054	−	0.996138i	$-0.472015\pi$
$769$	19.4178	−	5.70159i	0.700225	−	0.205604i	0.612419	+	0.790533i	$0.290196\pi$
$770$	16.6744	+	38.2745i	0.600904	+	1.37932i
$771$	−5.33698	+	6.15921i	−0.192207	+	0.221818i
$772$	7.52792	+	4.11056i	0.270936	+	0.147942i
$773$	−15.4605	+	41.4513i	−0.556077	+	1.49090i	0.289570	+	0.957157i	$0.406488\pi$
$773$	−15.4605	+	41.4513i	−0.556077	+	1.49090i	−0.845647	+	0.533743i	$0.820785\pi$
$774$	−4.69603	+	3.01796i	−0.168795	+	0.108478i
$775$	4.27898	+	10.3122i	0.153706	+	0.370427i
$776$	−15.5929	+	2.24193i	−0.559754	+	0.0804805i
$777$	1.92026	−	0.716220i	0.0688889	−	0.0256942i
$778$	−24.3787	+	18.2497i	−0.874018	+	0.654282i
$779$	−42.7482	−	27.4726i	−1.53161	−	0.984308i
$780$	0.543814	+	1.97987i	0.0194717	+	0.0708909i
$781$		−	1.45971i		−	0.0522324i
$782$	−1.45272	−	20.2283i	−0.0519493	−	0.723363i
$783$	−8.55403	+	8.55403i	−0.305696	+	0.305696i
$784$	1.51690	−	1.31440i	0.0541751	−	0.0469430i
$785$	36.3266	+	8.57228i	1.29655	+	0.305958i
$786$	−0.285710	+	1.98716i	−0.0101909	+	0.0708795i
$787$	−11.3644	−	30.4690i	−0.405096	−	1.08610i	−0.966072	−	0.258272i	$-0.916847\pi$
$787$	−11.3644	−	30.4690i	−0.405096	−	1.08610i	0.560977	−	0.827832i	$-0.310426\pi$
$788$	10.8522	+	8.12383i	0.386593	+	0.289400i
$789$	3.65827	+	1.07416i	0.130238	+	0.0382412i
$790$	−17.4445	−	13.5426i	−0.620647	−	0.481824i
$791$	−7.20266	−	15.7716i	−0.256097	−	0.560775i
$792$	−8.49706	+	15.5612i	−0.301930	+	0.552944i
$793$	14.7499	−	1.05493i	0.523784	−	0.0374618i
$794$	−1.18340	−	1.02542i	−0.0419974	−	0.0363909i
$795$	−0.394698	−	0.0638334i	−0.0139985	−	0.00226394i
$796$	1.94383	−	0.887716i	0.0688971	−	0.0314642i
$797$	10.4526	−	48.0498i	0.370250	−	1.70201i	−0.295090	−	0.955469i	$-0.595350\pi$
$797$	10.4526	−	48.0498i	0.370250	−	1.70201i	0.665340	−	0.746541i	$-0.268287\pi$
$798$	6.41592	−	3.50335i	0.227121	−	0.124017i
$799$	−5.44495	−	37.8705i	−0.192629	−	1.33976i
$800$	−4.30166	−	2.54868i	−0.152087	−	0.0901093i
$801$	13.3078	+	1.91337i	0.470206	+	0.0676055i
$802$	38.5781	−	8.39216i	1.36224	−	0.296337i
$803$	4.93455	−	68.9941i	0.174137	−	2.43475i
$804$	−5.55712			−0.195985
$805$	−12.8630	−	29.5020i	−0.453360	−	1.03981i
$806$	5.29355			0.186457
$807$	0.283795	−	3.96797i	0.00999006	−	0.139679i
$808$	17.5536	−	3.81854i	0.617532	−	0.134336i
$809$	1.03253	+	0.148455i	0.0363017	+	0.00521940i	0.160442	−	0.987045i	$-0.448708\pi$
$809$	1.03253	+	0.148455i	0.0363017	+	0.00521940i	−0.124140	+	0.992265i	$0.539617\pi$
$810$	17.0880	+	1.52381i	0.600410	+	0.0535411i
$811$	4.17925	+	29.0673i	0.146753	+	1.02069i	0.921488	+	0.388406i	$0.126974\pi$
$811$	4.17925	+	29.0673i	0.146753	+	1.02069i	−0.774735	+	0.632286i	$0.782117\pi$
$812$	−14.0631	+	7.67905i	−0.493519	+	0.269482i
$813$	0.0129793	−	0.0596651i	0.000455205	−	0.00209254i
$814$	−9.97707	+	4.55638i	−0.349696	+	0.159701i
$815$	−3.21266	+	2.31818i	−0.112535	+	0.0812022i
$816$	−1.23786	−	1.07261i	−0.0433336	−	0.0375488i
$817$	−12.2858	+	0.878701i	−0.429827	+	0.0307418i
$818$	10.3725	−	18.9958i	0.362666	−	0.664174i
$819$	−8.42335	−	18.4446i	−0.294336	−	0.644505i
$820$	2.25737	+	17.9271i	0.0788309	+	0.626041i
$821$	50.1872	+	14.7363i	1.75155	+	0.514301i	0.990869	−	0.134829i	$-0.0430486\pi$
$821$	50.1872	+	14.7363i	1.75155	+	0.514301i	0.760678	+	0.649130i	$0.224867\pi$
$822$	−3.49041	−	2.61289i	−0.121742	−	0.0911351i
$823$	−0.289584	−	0.776406i	−0.0100943	−	0.0270638i	0.931805	−	0.362960i	$-0.118234\pi$
$823$	−0.289584	−	0.776406i	−0.0100943	−	0.0270638i	−0.941899	+	0.335896i	$0.890961\pi$
$824$	−0.0736329	+	0.512128i	−0.00256512	+	0.0178408i
$825$	7.55392	−	9.38578i	0.262994	−	0.326771i
$826$	26.9894	−	23.3864i	0.939081	−	0.813719i
$827$	13.3849	−	13.3849i	0.465439	−	0.465439i	−0.434994	−	0.900433i	$-0.643250\pi$
$827$	13.3849	−	13.3849i	0.465439	−	0.465439i	0.900433	+	0.434994i	$0.143250\pi$
$828$	6.54686	−	11.9980i	0.227519	−	0.416961i
$829$			1.85633i			0.0644732i	0.999480	+	0.0322366i	$0.0102630\pi$
$829$			1.85633i			0.0644732i	−0.999480	+	0.0322366i	$0.989737\pi$
$830$	−15.7369	+	4.32246i	−0.546235	+	0.150035i
$831$	1.28026	+	0.822772i	0.0444117	+	0.0285417i
$832$	−1.89780	+	1.42068i	−0.0657945	+	0.0492531i
$833$	7.95259	−	2.96616i	0.275541	−	0.102772i
$834$	2.33302	−	0.335437i	0.0807857	−	0.0116152i
$835$	0.558693	+	10.3629i	0.0193344	+	0.358623i
$836$	−32.9112	+	21.1507i	−1.13826	+	0.731513i
$837$	−1.76814	+	4.74056i	−0.0611157	+	0.163858i
$838$	35.1949	+	19.2178i	1.21579	+	0.663870i
$839$	−10.7805	+	12.4414i	−0.372185	+	0.429524i	−0.910685	−	0.413101i	$-0.864446\pi$
$839$	−10.7805	+	12.4414i	−0.372185	+	0.429524i	0.538500	+	0.842625i	$0.318991\pi$
$840$	−2.41911	−	0.950938i	−0.0834674	−	0.0328105i
$841$	−0.475943	+	0.139749i	−0.0164118	+	0.00481895i
$842$	−18.8328	−	7.02429i	−0.649022	−	0.242073i
$843$	−2.32691	−	0.506188i	−0.0801430	−	0.0174340i
$844$	2.51674	−	8.57121i	0.0866296	−	0.295033i
$845$	−15.7498	−	4.92619i	−0.541809	−	0.169466i
$846$	10.7116	−	23.4551i	0.368273	−	0.806404i
$847$	−49.8232	−	66.5560i	−1.71195	−	2.28689i
$848$	−0.0981297	−	0.451095i	−0.00336979	−	0.0154907i
$849$	2.48711	+	2.87027i	0.0853573	+	0.0985075i
$850$	−13.2773	−	16.4552i	−0.455408	−	0.564408i
$851$	7.69029	−	3.51476i	0.263620	−	0.120485i
$852$	0.0642633	+	0.0642633i	0.00220163	+	0.00220163i
$853$	15.7922	+	1.12948i	0.540714	+	0.0386726i	0.339025	−	0.940777i	$-0.389903\pi$
$853$	15.7922	+	1.12948i	0.540714	+	0.0386726i	0.201688	+	0.979450i	$0.435357\pi$
$854$	−10.1212	+	15.7489i	−0.346340	+	0.538916i
$855$	33.3283	+	22.2543i	1.13980	+	0.761080i
$856$	−1.68006	−	0.767259i	−0.0574234	−	0.0262244i
$857$	30.7087	−	41.0220i	1.04899	−	1.40128i	0.137237	−	0.990538i	$-0.456178\pi$
$857$	30.7087	−	41.0220i	1.04899	−	1.40128i	0.911750	−	0.410745i	$-0.134731\pi$
$858$	−2.73763	−	5.01359i	−0.0934610	−	0.171161i
$859$	−12.1389	−	18.8884i	−0.414172	−	0.644465i	0.570007	−	0.821640i	$-0.306940\pi$
$859$	−12.1389	−	18.8884i	−0.414172	−	0.644465i	−0.984179	+	0.177175i	$0.943304\pi$
$860$	3.04215	+	3.15078i	0.103736	+	0.107441i
$861$	2.64637	+	9.01270i	0.0901880	+	0.307152i
$862$	−0.112958	−	1.57936i	−0.00384736	−	0.0537931i
$863$	2.78085	+	38.8813i	0.0946611	+	1.32354i	0.793638	+	0.608391i	$0.208185\pi$
$863$	2.78085	+	38.8813i	0.0946611	+	1.32354i	−0.698977	+	0.715145i	$0.746361\pi$
$864$	−0.638367	−	2.17408i	−0.0217177	−	0.0739636i
$865$	8.57353	+	8.87967i	0.291509	+	0.301918i
$866$	2.86675	+	4.46076i	0.0974163	+	0.151583i
$867$	−0.163798	−	0.299974i	−0.00556288	−	0.0101877i
$868$	−4.01607	+	5.36484i	−0.136314	+	0.182095i
$869$	55.8893	+	25.5238i	1.89592	+	0.865836i
$870$	3.84550	+	2.56775i	0.130375	+	0.0870550i
$871$	−18.3885	+	28.6131i	−0.623072	+	0.969519i
$872$	−4.73419	−	0.338596i	−0.160320	−	0.0114663i
$873$	−31.7466	−	31.7466i	−1.07446	−	1.07446i
$874$	25.3664	−	16.3125i	0.858032	−	0.551779i
$875$	−28.5634	−	17.6075i	−0.965620	−	0.595242i
$876$	2.82021	+	3.25470i	0.0952861	+	0.109966i
$877$	7.24695	+	33.3137i	0.244712	+	1.12492i	0.921388	+	0.388643i	$0.127056\pi$
$877$	7.24695	+	33.3137i	0.244712	+	1.12492i	−0.676676	+	0.736281i	$0.736580\pi$
$878$	2.50003	+	3.33965i	0.0843720	+	0.112708i
$879$	2.28797	−	5.00995i	0.0771712	−	0.168981i
$880$	13.2765	+	4.15260i	0.447551	+	0.139984i
$881$	−9.84033	+	33.5131i	−0.331529	+	1.12909i	0.610069	+	0.792348i	$0.291142\pi$
$881$	−9.84033	+	33.5131i	−0.331529	+	1.12909i	−0.941599	+	0.336737i	$0.890677\pi$
$882$	5.58960	+	1.21594i	0.188212	+	0.0409429i
$883$	−17.4255	−	6.49939i	−0.586416	−	0.218722i	0.0387037	−	0.999251i	$-0.487677\pi$
$883$	−17.4255	−	6.49939i	−0.586416	−	0.218722i	−0.625120	+	0.780529i	$0.714950\pi$
$884$	−9.61883	+	2.82434i	−0.323516	+	0.0949930i
$885$	−9.59145	−	3.77034i	−0.322413	−	0.126739i
$886$	17.7029	−	20.4302i	0.594739	−	0.686366i
$887$	27.8436	+	15.2038i	0.934898	+	0.510493i	0.873070	−	0.487594i	$-0.162125\pi$
$887$	27.8436	+	15.2038i	0.934898	+	0.510493i	0.0618271	+	0.998087i	$0.480307\pi$
$888$	0.238645	−	0.639833i	0.00800841	−	0.0214714i
$889$	−32.2827	+	20.7468i	−1.08273	+	0.695826i
$890$	−0.567876	−	10.5332i	−0.0190352	−	0.353074i
$891$	−47.2442	+	6.79269i	−1.58274	+	0.227564i
$892$	−10.4500	+	3.89765i	−0.349892	+	0.130503i
$893$	45.5475	−	34.0965i	1.52419	−	1.14099i
$894$	5.06049	+	3.25218i	0.169248	+	0.108769i
$895$	−4.13776	+	1.13652i	−0.138310	+	0.0379898i
$896$		−	3.00119i		−	0.100263i
$897$	2.11157	+	3.86435i	0.0705032	+	0.129027i
$898$	−24.8650	+	24.8650i	−0.829756	+	0.829756i
$899$	9.00970	−	7.80695i	0.300490	−	0.260376i
$900$	−1.53205	−	14.1673i	−0.0510684	−	0.472243i
$901$	0.277825	−	1.93232i	0.00925569	−	0.0643747i
$902$	−17.5675	−	47.1003i	−0.584933	−	1.56827i
$903$	1.82272	+	1.36447i	0.0606562	+	0.0454067i
$904$	−5.54318	−	1.62762i	−0.184363	−	0.0541340i
$905$	2.63046	+	20.8900i	0.0874395	+	0.694407i
$906$	−0.348247	−	0.762555i	−0.0115697	−	0.0253342i
$907$	12.8725	−	23.5742i	0.427424	−	0.782768i	−0.571870	−	0.820344i	$-0.693782\pi$
$907$	12.8725	−	23.5742i	0.427424	−	0.782768i	0.999294	+	0.0375759i	$0.0119636\pi$
$908$	−22.2911	+	1.59429i	−0.739756	+	0.0529084i
$909$	38.6923	+	33.5271i	1.28334	+	1.11202i
$910$	−12.9012	+	9.30915i	−0.427669	+	0.308595i
$911$	4.65559	−	2.12614i	0.154246	−	0.0704420i	−0.336796	−	0.941578i	$-0.609343\pi$
$911$	4.65559	−	2.12614i	0.154246	−	0.0704420i	0.491042	+	0.871136i	$0.336616\pi$
$912$	0.517752	−	2.38007i	0.0171445	−	0.0788119i
$913$	39.8501	−	21.7598i	1.31885	−	0.720144i
$914$	−1.02520	−	7.13041i	−0.0339105	−	0.235853i
$915$	5.38113	+	0.479858i	0.177895	+	0.0158636i
$916$	9.04930	+	1.30109i	0.298997	+	0.0429893i
$917$	−15.2002	+	3.30660i	−0.501955	+	0.109194i
$918$	0.683556	−	9.55737i	0.0225607	−	0.315440i
$919$	36.3488			1.19903			0.599517	−	0.800362i	$-0.295359\pi$
$919$	36.3488			1.19903			0.599517	+	0.800362i	$0.295359\pi$
$920$	−10.2358	−	3.19823i	−0.337464	−	0.105443i
$921$	2.96581			0.0977267
$922$	−1.29429	+	18.0965i	−0.0426252	+	0.595978i
$923$	0.543534	−	0.118239i	0.0178906	−	0.00389187i
$924$	7.15807	+	1.02917i	0.235483	+	0.0338574i
$925$	4.49351	−	7.58415i	0.147746	−	0.249365i
$926$	−4.29070	−	29.8425i	−0.141001	−	0.980685i
$927$	−1.29419	+	0.706682i	−0.0425068	+	0.0232105i
$928$	−1.13487	+	5.21690i	−0.0372538	+	0.171253i
$929$	−47.2991	+	21.6008i	−1.55183	+	0.708698i	−0.992726	−	0.120398i	$-0.961583\pi$
$929$	−47.2991	+	21.6008i	−1.55183	+	0.708698i	−0.559106	+	0.829096i	$0.688856\pi$
$930$	1.90914	+	0.308759i	0.0626031	+	0.0101246i
$931$	9.53911	+	8.26568i	0.312632	+	0.270897i
$932$	−9.36986	+	0.670146i	−0.306920	+	0.0219514i
$933$	3.91357	−	7.16717i	0.128125	−	0.234643i
$934$	−10.7692	−	23.5812i	−0.352378	−	0.771599i
$935$	46.4666	+	36.0732i	1.51962	+	1.17972i
$936$	−6.48262	−	1.90347i	−0.211891	−	0.0622168i
$937$	−28.1149	−	21.0466i	−0.918475	−	0.687562i	0.0316277	−	0.999500i	$-0.489931\pi$
$937$	−28.1149	−	21.0466i	−0.918475	−	0.687562i	−0.950102	+	0.311938i	$0.899022\pi$
$938$	−15.0476	−	40.3442i	−0.491322	−	1.31728i
$939$	0.149318	−	1.03853i	0.00487282	−	0.0338912i
$940$	−19.6901	−	4.64644i	−0.642221	−	0.151550i
$941$	−27.5915	+	23.9082i	−0.899457	+	0.779384i	−0.976020	−	0.217681i	$-0.930151\pi$
$941$	−27.5915	+	23.9082i	−0.899457	+	0.779384i	0.0765628	+	0.997065i	$0.475605\pi$
$942$	4.57163	−	4.57163i	0.148952	−	0.148952i
$943$	13.5534	+	36.3056i	0.441360	+	1.18227i
$944$		−	11.8993i		−	0.387289i
$945$	−4.02745	−	14.6628i	−0.131013	−	0.476982i
$946$	−10.2508	−	6.58776i	−0.333281	−	0.214187i
$947$	−34.4811	+	25.8122i	−1.12049	+	0.838785i	−0.988312	−	0.152442i	$-0.951286\pi$
$947$	−34.4811	+	25.8122i	−1.12049	+	0.838785i	−0.132173	+	0.991227i	$0.542196\pi$
$948$	−3.58420	+	1.33684i	−0.116409	+	0.0434185i
$949$	26.0902	−	3.75121i	0.846925	−	0.121769i
$950$	12.0146	−	29.0568i	0.389804	−	0.942726i
$951$	9.81727	−	6.30918i	0.318347	−	0.204589i
$952$	4.43516	−	11.8911i	0.143744	−	0.385394i
$953$	−44.8729	−	24.5024i	−1.45358	−	0.793712i	−0.458115	−	0.888893i	$-0.651475\pi$
$953$	−44.8729	−	24.5024i	−1.45358	−	0.793712i	−0.995460	+	0.0951807i	$0.969657\pi$
$954$	0.861585	−	0.994323i	0.0278949	−	0.0321924i
$955$	−10.1265	−	23.2443i	−0.327685	−	0.752168i
$956$	20.3459	−	5.97408i	0.658032	−	0.193216i
$957$	−12.0535	−	4.49573i	−0.389635	−	0.145326i
$958$	−1.88585	−	0.410242i	−0.0609291	−	0.0132543i
$959$	9.51798	−	32.4153i	0.307352	−	1.04674i
$960$	−0.767313	+	0.401678i	−0.0247649	+	0.0129641i
$961$	−10.8066	+	23.6631i	−0.348599	+	0.763326i
$962$	−2.50476	−	3.34597i	−0.0807568	−	0.107878i
$963$	−1.11891	−	5.14353i	−0.0360562	−	0.165748i
$964$	9.08630	+	10.4862i	0.292650	+	0.337736i
$965$	18.0845	−	6.38616i	0.582160	−	0.205578i
$966$	−5.51838	−	0.791771i	−0.177551	−	0.0254748i
$967$	20.0071	+	20.0071i	0.643386	+	0.643386i	0.951386	−	0.308001i	$-0.0996599\pi$
$967$	20.0071	+	20.0071i	0.643386	+	0.643386i	−0.308001	+	0.951386i	$0.599660\pi$
$968$	−27.6314	−	1.97623i	−0.888105	−	0.0635186i
$969$	5.56866	−	8.66501i	0.178891	−	0.278360i
$970$	−19.5611	+	29.2950i	−0.628069	+	0.940604i
$971$	6.17945	+	2.82206i	0.198308	+	0.0905643i	0.512094	−	0.858930i	$-0.328870\pi$
$971$	6.17945	+	2.82206i	0.198308	+	0.0905643i	−0.313786	+	0.949494i	$0.601597\pi$
$972$	5.85451	−	7.82071i	0.187784	−	0.250849i
$973$	8.75259	+	16.0292i	0.280595	+	0.513872i
$974$	5.35084	+	8.32607i	0.171452	+	0.266784i
$975$	4.10675	+	2.05250i	0.131521	+	0.0657327i
$976$	1.75738	+	5.98510i	0.0562525	+	0.191578i
$977$	−0.467512	−	6.53667i	−0.0149570	−	0.209127i	−0.999435	−	0.0336172i	$-0.989297\pi$
$977$	−0.467512	−	6.53667i	−0.0149570	−	0.209127i	0.984478	−	0.175509i	$-0.0561572\pi$
$978$	0.0489559	+	0.684492i	0.00156544	+	0.0218877i
$979$	8.26818	+	28.1588i	0.264252	+	0.899960i
$980$	0.0787137	−	4.48743i	0.00251442	−	0.143346i
$981$	−7.31314	−	11.3795i	−0.233491	−	0.363319i
$982$	5.18381	+	9.49344i	0.165422	+	0.302948i
$983$	21.2035	−	28.3246i	0.676287	−	0.903413i	−0.322786	−	0.946472i	$-0.604619\pi$
$983$	21.2035	−	28.3246i	0.676287	−	0.903413i	0.999073	+	0.0430589i	$0.0137103\pi$
$984$	2.84699	+	1.30018i	0.0907586	+	0.0414481i
$985$	29.7280	−	5.92286i	0.947211	−	0.188718i
$986$	−12.2060	+	18.9930i	−0.388719	+	0.604859i
$987$	−10.4905	−	0.750294i	−0.333916	−	0.0238821i
$988$	−10.5415	−	10.5415i	−0.335370	−	0.335370i
$989$	7.90379	+	5.07618i	0.251326	+	0.161413i
$990$	13.2010	+	37.3830i	0.419557	+	1.18811i
$991$	40.8886	+	47.1880i	1.29887	+	1.49897i	0.746523	+	0.665360i	$0.231722\pi$
$991$	40.8886	+	47.1880i	1.29887	+	1.49897i	0.552346	+	0.833615i	$0.313733\pi$
$992$	0.474648	+	2.18192i	0.0150701	+	0.0692762i
$993$	2.01746	+	2.69501i	0.0640222	+	0.0855236i
$994$	−0.292533	+	0.640558i	−0.00927859	+	0.0203173i
$995$	1.42641	−	4.56046i	0.0452204	−	0.144576i
$996$	−0.796422	+	2.71237i	−0.0252356	+	0.0859446i
$997$	30.4613	+	6.62645i	0.964719	+	0.209862i	0.667220	−	0.744860i	$-0.267484\pi$
$997$	30.4613	+	6.62645i	0.964719	+	0.209862i	0.297499	+	0.954722i	$0.403848\pi$
$998$	12.0774	+	4.50465i	0.382304	+	0.142592i
$999$	3.83306	−	1.12549i	0.121273	−	0.0356089i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	230.2.l.a.217.10	yes	240
5.3	odd	4	inner	230.2.l.a.33.4	yes	240
23.7	odd	22	inner	230.2.l.a.7.4	✓	240
115.53	even	44	inner	230.2.l.a.53.10	yes	240

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
230.2.l.a.7.4	✓	240	23.7	odd	22	inner
230.2.l.a.33.4	yes	240	5.3	odd	4	inner
230.2.l.a.53.10	yes	240	115.53	even	44	inner
230.2.l.a.217.10	yes	240	1.1	even	1	trivial

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)

\(f(q)\)	\(=\)	\(q+(0.0713392 - 0.997452i) q^{2} +(-0.378476 + 0.0823325i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(-1.71533 + 1.43445i) q^{5} +(0.0551225 + 0.383386i) q^{6} +(-2.63408 + 1.43832i) q^{7} +(-0.212565 + 0.977147i) q^{8} +(-2.59243 + 1.18392i) q^{9} +O(q^{10})\)	\(q+(0.0713392 - 0.997452i) q^{2} +(-0.378476 + 0.0823325i) q^{3} +(-0.989821 - 0.142315i) q^{4} +(-1.71533 + 1.43445i) q^{5} +(0.0551225 + 0.383386i) q^{6} +(-2.63408 + 1.43832i) q^{7} +(-0.212565 + 0.977147i) q^{8} +(-2.59243 + 1.18392i) q^{9} +(1.30842 + 1.81329i) q^{10} +(-4.70158 - 4.07395i) q^{11} +(0.386341 - 0.0276317i) q^{12} +(1.13613 - 2.08067i) q^{13} +(1.24674 + 2.72998i) q^{14} +(0.531110 - 0.684133i) q^{15} +(0.959493 + 0.281733i) q^{16} +(3.38530 + 2.53420i) q^{17} +(0.995965 + 2.67029i) q^{18} +(-0.894953 + 6.22454i) q^{19} +(1.90201 - 1.17573i) q^{20} +(0.878518 - 0.761240i) q^{21} +(-4.39897 + 4.39897i) q^{22} +(3.39017 - 3.39216i) q^{23} -0.387328i q^{24} +(0.884707 - 4.92111i) q^{25} +(-1.99432 - 1.28167i) q^{26} +(1.81391 - 1.35788i) q^{27} +(2.81197 - 1.04881i) q^{28} +(-5.28457 + 0.759806i) q^{29} +(-0.644501 - 0.578562i) q^{30} +(-1.87848 + 1.20723i) q^{31} +(0.349464 - 0.936950i) q^{32} +(2.11486 + 1.15480i) q^{33} +(2.76925 - 3.19588i) q^{34} +(2.45512 - 6.24565i) q^{35} +(2.73453 - 0.802931i) q^{36} +(1.65191 + 0.616132i) q^{37} +(6.14483 + 1.33673i) q^{38} +(-0.258692 + 0.881025i) q^{39} +(-1.03705 - 1.98104i) q^{40} +(-3.35678 + 7.35032i) q^{41} +(-0.696628 - 0.930586i) q^{42} +(0.416347 + 1.91391i) q^{43} +(4.07395 + 4.70158i) q^{44} +(2.74859 - 5.74953i) q^{45} +(-3.14167 - 3.62353i) q^{46} +(-6.39758 - 6.39758i) q^{47} +(-0.386341 - 0.0276317i) q^{48} +(1.08515 - 1.68852i) q^{49} +(-4.84545 - 1.23352i) q^{50} +(-1.48990 - 0.680415i) q^{51} +(-1.42068 + 1.89780i) q^{52} +(-0.221243 - 0.405176i) q^{53} +(-1.22502 - 1.90616i) q^{54} +(13.9086 + 0.243970i) q^{55} +(-0.845533 - 2.87962i) q^{56} +(-0.173763 - 2.42952i) q^{57} +(0.380874 + 5.32531i) q^{58} +(-3.35242 - 11.4173i) q^{59} +(-0.623066 + 0.601585i) q^{60} +(3.37239 + 5.24755i) q^{61} +(1.07014 + 1.95982i) q^{62} +(5.12582 - 6.84729i) q^{63} +(-0.909632 - 0.415415i) q^{64} +(1.03578 + 5.19876i) q^{65} +(1.30273 - 2.02709i) q^{66} +(-14.3108 - 1.02353i) q^{67} +(-2.99018 - 2.99018i) q^{68} +(-1.00381 + 1.56297i) q^{69} +(-6.05459 - 2.89443i) q^{70} +(0.153656 + 0.177328i) q^{71} +(-0.605806 - 2.78485i) q^{72} +(6.66318 + 8.90097i) q^{73} +(0.732408 - 1.60375i) q^{74} +(0.0703264 + 1.93536i) q^{75} +(1.77169 - 6.03382i) q^{76} +(18.2440 + 3.96874i) q^{77} +(0.860326 + 0.320885i) q^{78} +(-9.47630 + 2.78249i) q^{79} +(-2.04998 + 0.893081i) q^{80} +(5.02429 - 5.79834i) q^{81} +(7.09212 + 3.87259i) q^{82} +(-2.55053 + 6.83823i) q^{83} +(-0.977912 + 0.628466i) q^{84} +(-9.44208 + 0.509050i) q^{85} +(1.93874 - 0.278749i) q^{86} +(1.93753 - 0.722660i) q^{87} +(4.98024 - 3.72816i) q^{88} +(-3.96856 - 2.55044i) q^{89} +(-5.53880 - 3.15176i) q^{90} +7.11478i q^{91} +(-3.83842 + 2.87516i) q^{92} +(0.611567 - 0.611567i) q^{93} +(-6.83768 + 5.92488i) q^{94} +(-7.39365 - 11.9609i) q^{95} +(-0.0551225 + 0.383386i) q^{96} +(5.50521 + 14.7600i) q^{97} +(-1.60681 - 1.20284i) q^{98} +(17.0118 + 4.99511i) 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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