LMFDB - Embedded newform 600.2.bk.a.59.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [600,2,Mod(59,600)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(600, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))

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

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

chi := DirichletCharacter("600.59");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 600 = 2^{3} \cdot 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	600.bk (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$4.79102412128$
Analytic rank:	$0$
Dimension:	$464$
Relative dimension:	$116$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			59.2
Character	$\chi$	$=$	600.59
Dual form			600.2.bk.a.539.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41337 + 0.0488228i) q^{2} +(0.550722 - 1.64216i) q^{3} +(1.99523 - 0.138009i) q^{4} +(1.98623 + 1.02708i) q^{5} +(-0.698199 + 2.34788i) q^{6} +0.938089 q^{7} +(-2.81327 + 0.292471i) q^{8} +(-2.39341 - 1.80875i) q^{9} +O(q^{10})$	\(q+(-1.41337 + 0.0488228i) q^{2} +(0.550722 - 1.64216i) q^{3} +(1.99523 - 0.138009i) q^{4} +(1.98623 + 1.02708i) q^{5} +(-0.698199 + 2.34788i) q^{6} +0.938089 q^{7} +(-2.81327 + 0.292471i) q^{8} +(-2.39341 - 1.80875i) q^{9} +(-2.85742 - 1.35467i) q^{10} +(-0.00579322 + 0.00797368i) q^{11} +(0.872185 - 3.35251i) q^{12} +(2.99034 - 2.17261i) q^{13} +(-1.32587 + 0.0458001i) q^{14} +(2.78049 - 2.69608i) q^{15} +(3.96191 - 0.550722i) q^{16} +(0.275265 - 0.847178i) q^{17} +(3.47108 + 2.43959i) q^{18} +(-0.137833 + 0.424206i) q^{19} +(4.10474 + 1.77514i) q^{20} +(0.516627 - 1.54050i) q^{21} +(0.00779867 - 0.0115526i) q^{22} +(3.63549 - 5.00382i) q^{23} +(-1.06904 + 4.78092i) q^{24} +(2.89022 + 4.08003i) q^{25} +(-4.12039 + 3.21670i) q^{26} +(-4.28837 + 2.93425i) q^{27} +(1.87171 - 0.129465i) q^{28} +(1.45905 + 4.49048i) q^{29} +(-3.79824 + 3.94631i) q^{30} +(-4.02283 - 1.30710i) q^{31} +(-5.57275 + 0.971806i) q^{32} +(0.00990365 + 0.0139047i) q^{33} +(-0.347690 + 1.21082i) q^{34} +(1.86326 + 0.963491i) q^{35} +(-5.02504 - 3.27857i) q^{36} +(1.00169 - 0.727770i) q^{37} +(0.174098 - 0.606289i) q^{38} +(-1.92094 - 6.10714i) q^{39} +(-5.88818 - 2.30853i) q^{40} +(5.63119 + 7.75066i) q^{41} +(-0.654973 + 2.20252i) q^{42} -8.70132i q^{43} +(-0.0104584 + 0.0167089i) q^{44} +(-2.89613 - 6.05082i) q^{45} +(-4.89399 + 7.24975i) q^{46} +(11.1782 - 3.63203i) q^{47} +(1.27753 - 6.80940i) q^{48} -6.11999 q^{49} +(-4.28415 - 5.62548i) q^{50} +(-1.23961 - 0.918590i) q^{51} +(5.66659 - 4.74756i) q^{52} +(1.16421 - 0.378276i) q^{53} +(5.91780 - 4.35656i) q^{54} +(-0.0196963 + 0.00988748i) q^{55} +(-2.63909 + 0.274364i) q^{56} +(0.620708 + 0.459964i) q^{57} +(-2.28141 - 6.27548i) q^{58} +(-7.22383 - 9.94275i) q^{59} +(5.17565 - 5.76304i) q^{60} +(-3.78451 + 5.20893i) q^{61} +(5.74957 + 1.65101i) q^{62} +(-2.24523 - 1.69677i) q^{63} +(7.82892 - 1.64560i) q^{64} +(8.17095 - 1.24399i) q^{65} +(-0.0146764 - 0.0191690i) q^{66} +(-3.92434 - 1.27509i) q^{67} +(0.432299 - 1.72831i) q^{68} +(-6.21495 - 8.72579i) q^{69} +(-2.68052 - 1.27080i) q^{70} +(0.607819 + 1.87067i) q^{71} +(7.26231 + 4.38850i) q^{72} +(5.73507 - 7.89364i) q^{73} +(-1.38023 + 1.07751i) q^{74} +(8.29179 - 2.49925i) q^{75} +(-0.216464 + 0.865411i) q^{76} +(-0.00543456 + 0.00748003i) q^{77} +(3.01317 + 8.53787i) q^{78} +(4.70778 - 1.52965i) q^{79} +(8.43489 + 2.97533i) q^{80} +(2.45682 + 8.65818i) q^{81} +(-8.33736 - 10.6796i) q^{82} +(-2.93473 + 9.03218i) q^{83} +(0.818187 - 3.14495i) q^{84} +(1.41686 - 1.39997i) q^{85} +(0.424823 + 12.2982i) q^{86} +(8.17764 + 0.0770140i) q^{87} +(0.0139658 - 0.0241264i) q^{88} +(0.766346 - 1.05478i) q^{89} +(4.38872 + 8.41065i) q^{90} +(2.80521 - 2.03810i) q^{91} +(6.56307 - 10.4855i) q^{92} +(-4.36193 + 5.88631i) q^{93} +(-15.6217 + 5.67916i) q^{94} +(-0.709460 + 0.701005i) q^{95} +(-1.47317 + 9.68658i) q^{96} +(-13.2742 + 4.31304i) q^{97} +(8.64981 - 0.298795i) q^{98} +(0.0282880 - 0.00860579i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	$ 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) $ 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/600\mathbb{Z}\right)^\times$.

$n$	$151$	$301$	$401$	$577$
$\chi(n)$	$-1$	$-1$	$-1$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−1.41337	+	0.0488228i	−0.999404	+	0.0345229i
$2$	−1.41337	+	0.0488228i	−0.999404	+	0.0345229i
$3$	0.550722	−	1.64216i	0.317960	−	0.948104i
$3$	0.550722	−	1.64216i	0.317960	−	0.948104i
$4$	1.99523	−	0.138009i	0.997616	−	0.0690047i
$5$	1.98623	+	1.02708i	0.888269	+	0.459324i
$5$	1.98623	+	1.02708i	0.888269	+	0.459324i
$6$	−0.698199	+	2.34788i	−0.285039	+	0.958516i
$7$	0.938089			0.354564			0.177282	−	0.984160i	$-0.443269\pi$
$7$	0.938089			0.354564			0.177282	+	0.984160i	$0.443269\pi$
$8$	−2.81327	+	0.292471i	−0.994639	+	0.103404i
$9$	−2.39341	−	1.80875i	−0.797803	−	0.602918i
$10$	−2.85742	−	1.35467i	−0.903597	−	0.428384i
$11$	−0.00579322	+	0.00797368i	−0.00174672	+	0.00240416i	−0.809889	−	0.586583i	$-0.800473\pi$
$11$	−0.00579322	+	0.00797368i	−0.00174672	+	0.00240416i	0.808143	+	0.588987i	$0.200473\pi$
$12$	0.872185	−	3.35251i	0.251778	−	0.967785i
$13$	2.99034	−	2.17261i	0.829372	−	0.602574i	−0.0900095	−	0.995941i	$-0.528690\pi$
$13$	2.99034	−	2.17261i	0.829372	−	0.602574i	0.919382	+	0.393367i	$0.128690\pi$
$14$	−1.32587	+	0.0458001i	−0.354353	+	0.0122406i
$15$	2.78049	−	2.69608i	0.717920	−	0.696125i
$16$	3.96191	−	0.550722i	0.990477	−	0.137680i
$17$	0.275265	−	0.847178i	0.0667615	−	0.205471i	−0.912111	−	0.409944i	$-0.865548\pi$
$17$	0.275265	−	0.847178i	0.0667615	−	0.205471i	0.978872	+	0.204473i	$0.0655482\pi$
$18$	3.47108	+	2.43959i	0.818142	+	0.575016i
$19$	−0.137833	+	0.424206i	−0.0316210	+	0.0973195i	−0.965621	−	0.259953i	$-0.916293\pi$
$19$	−0.137833	+	0.424206i	−0.0316210	+	0.0973195i	0.934000	+	0.357272i	$0.116293\pi$
$20$	4.10474	+	1.77514i	0.917847	+	0.396934i
$21$	0.516627	−	1.54050i	0.112737	−	0.336164i
$22$	0.00779867	−	0.0115526i	0.00166268	−	0.00246302i
$23$	3.63549	−	5.00382i	0.758052	−	1.04337i	−0.239322	−	0.970940i	$-0.576925\pi$
$23$	3.63549	−	5.00382i	0.758052	−	1.04337i	0.997374	−	0.0724286i	$-0.0230749\pi$
$24$	−1.06904	+	4.78092i	−0.218217	+	0.975900i
$25$	2.89022	+	4.08003i	0.578044	+	0.816006i
$26$	−4.12039	+	3.21670i	−0.808075	+	0.630847i
$27$	−4.28837	+	2.93425i	−0.825298	+	0.564697i
$28$	1.87171	−	0.129465i	0.353719	−	0.0244666i
$29$	1.45905	+	4.49048i	0.270938	+	0.833861i	0.990266	+	0.139190i	$0.0444500\pi$
$29$	1.45905	+	4.49048i	0.270938	+	0.833861i	−0.719328	+	0.694671i	$0.755550\pi$
$30$	−3.79824	+	3.94631i	−0.693460	+	0.720495i
$31$	−4.02283	−	1.30710i	−0.722522	−	0.234762i	−0.0754058	−	0.997153i	$-0.524025\pi$
$31$	−4.02283	−	1.30710i	−0.722522	−	0.234762i	−0.647116	+	0.762391i	$0.724025\pi$
$32$	−5.57275	+	0.971806i	−0.985133	+	0.171793i
$33$	0.00990365	+	0.0139047i	0.00172400	+	0.00242050i
$34$	−0.347690	+	1.21082i	−0.0596283	+	0.207653i
$35$	1.86326	+	0.963491i	0.314949	+	0.162860i
$36$	−5.02504	−	3.27857i	−0.837506	−	0.546428i
$37$	1.00169	−	0.727770i	0.164677	−	0.119645i	−0.502395	−	0.864638i	$-0.667548\pi$
$37$	1.00169	−	0.727770i	0.164677	−	0.119645i	0.667071	+	0.744994i	$0.267548\pi$
$38$	0.174098	−	0.606289i	0.0282424	−	0.0983531i
$39$	−1.92094	−	6.10714i	−0.307596	−	0.977925i
$40$	−5.88818	−	2.30853i	−0.931003	−	0.365010i
$41$	5.63119	+	7.75066i	0.879443	+	1.21045i	0.976575	+	0.215179i	$0.0690333\pi$
$41$	5.63119	+	7.75066i	0.879443	+	1.21045i	−0.0971312	+	0.995272i	$0.530967\pi$
$42$	−0.654973	+	2.20252i	−0.101065	+	0.339856i
$43$		−	8.70132i		−	1.32694i	−0.748203	−	0.663469i	$-0.769083\pi$
$43$		−	8.70132i		−	1.32694i	0.748203	−	0.663469i	$-0.230917\pi$
$44$	−0.0104584	+	0.0167089i	−0.00157666	+	0.00251896i
$45$	−2.89613	−	6.05082i	−0.431730	−	0.902003i
$46$	−4.89399	+	7.24975i	−0.721580	+	1.06892i
$47$	11.1782	−	3.63203i	1.63051	−	0.529786i	0.656125	−	0.754653i	$-0.272195\pi$
$47$	11.1782	−	3.63203i	1.63051	−	0.529786i	0.974390	+	0.224866i	$0.0721946\pi$
$48$	1.27753	−	6.80940i	0.184396	−	0.982852i
$49$	−6.11999			−0.874284
$50$	−4.28415	−	5.62548i	−0.605870	−	0.795564i
$51$	−1.23961	−	0.918590i	−0.173580	−	0.128628i
$52$	5.66659	−	4.74756i	0.785815	−	0.658368i
$53$	1.16421	−	0.378276i	0.159917	−	0.0519602i	−0.227964	−	0.973669i	$-0.573207\pi$
$53$	1.16421	−	0.378276i	0.159917	−	0.0519602i	0.387882	+	0.921709i	$0.373207\pi$
$54$	5.91780	−	4.35656i	0.805311	−	0.592852i
$55$	−0.0196963	+	0.00988748i	−0.00265584	+	0.00133323i
$56$	−2.63909	+	0.274364i	−0.352664	+	0.0366635i
$57$	0.620708	+	0.459964i	0.0822148	+	0.0609237i
$58$	−2.28141	−	6.27548i	−0.299564	−	0.824011i
$59$	−7.22383	−	9.94275i	−0.940463	−	1.29444i	−0.955636	−	0.294551i	$-0.904830\pi$
$59$	−7.22383	−	9.94275i	−0.940463	−	1.29444i	0.0151726	−	0.999885i	$-0.495170\pi$
$60$	5.17565	−	5.76304i	0.668173	−	0.744006i
$61$	−3.78451	+	5.20893i	−0.484557	+	0.666935i	−0.979373	−	0.202063i	$-0.935236\pi$
$61$	−3.78451	+	5.20893i	−0.484557	+	0.666935i	0.494816	+	0.868998i	$0.335236\pi$
$62$	5.74957	+	1.65101i	0.730196	+	0.209678i
$63$	−2.24523	−	1.69677i	−0.282873	−	0.213773i
$64$	7.82892	−	1.64560i	0.978615	−	0.205700i
$65$	8.17095	−	1.24399i	1.01348	−	0.154298i
$66$	−0.0146764	−	0.0191690i	−0.00180654	−	0.00235954i
$67$	−3.92434	−	1.27509i	−0.479434	−	0.155778i	0.0593228	−	0.998239i	$-0.481106\pi$
$67$	−3.92434	−	1.27509i	−0.479434	−	0.155778i	−0.538757	+	0.842461i	$0.681106\pi$
$68$	0.432299	−	1.72831i	0.0524239	−	0.209588i
$69$	−6.21495	−	8.72579i	−0.748193	−	1.05046i
$70$	−2.68052	−	1.27080i	−0.320383	−	0.151890i
$71$	0.607819	+	1.87067i	0.0721348	+	0.222008i	0.980624	−	0.195901i	$-0.0627631\pi$
$71$	0.607819	+	1.87067i	0.0721348	+	0.222008i	−0.908489	+	0.417909i	$0.862763\pi$
$72$	7.26231	+	4.38850i	0.855871	+	0.517189i
$73$	5.73507	−	7.89364i	0.671239	−	0.923881i	−0.328549	−	0.944487i	$-0.606560\pi$
$73$	5.73507	−	7.89364i	0.671239	−	0.923881i	0.999788	+	0.0206058i	$0.00655951\pi$
$74$	−1.38023	+	1.07751i	−0.160448	+	0.125258i
$75$	8.29179	−	2.49925i	0.957453	−	0.288589i
$76$	−0.216464	+	0.865411i	−0.0248301	+	0.0992695i
$77$	−0.00543456	+	0.00748003i	−0.000619325	+	0.000852428i
$78$	3.01317	+	8.53787i	0.341174	+	0.966723i
$79$	4.70778	−	1.52965i	0.529667	−	0.172099i	−0.0319611	−	0.999489i	$-0.510175\pi$
$79$	4.70778	−	1.52965i	0.529667	−	0.172099i	0.561628	+	0.827390i	$0.310175\pi$
$80$	8.43489	+	2.97533i	0.943050	+	0.332652i
$81$	2.45682	+	8.65818i	0.272980	+	0.962020i
$82$	−8.33736	−	10.6796i	−0.920708	−	1.17937i
$83$	−2.93473	+	9.03218i	−0.322129	+	0.991411i	0.650591	+	0.759428i	$0.274521\pi$
$83$	−2.93473	+	9.03218i	−0.322129	+	0.991411i	−0.972720	+	0.231983i	$0.925479\pi$
$84$	0.818187	−	3.14495i	0.0892715	−	0.343142i
$85$	1.41686	−	1.39997i	0.153680	−	0.151848i
$86$	0.424823	+	12.2982i	0.0458098	+	1.32615i
$87$	8.17764	+	0.0770140i	0.876735	+	0.00825677i
$88$	0.0139658	−	0.0241264i	0.00148876	−	0.00257189i
$89$	0.766346	−	1.05478i	0.0812325	−	0.111807i	−0.766467	−	0.642284i	$-0.777987\pi$
$89$	0.766346	−	1.05478i	0.0812325	−	0.111807i	0.847699	+	0.530477i	$0.177987\pi$
$90$	4.38872	+	8.41065i	0.462612	+	0.886561i
$91$	2.80521	−	2.03810i	0.294066	−	0.213651i
$92$	6.56307	−	10.4855i	0.684248	−	1.09319i
$93$	−4.36193	+	5.88631i	−0.452311	+	0.610382i
$94$	−15.6217	+	5.67916i	−1.61125	+	0.585761i
$95$	−0.709460	+	0.701005i	−0.0727891	+	0.0719216i
$96$	−1.47317	+	9.68658i	−0.150355	+	0.988632i
$97$	−13.2742	+	4.31304i	−1.34779	+	0.437922i	−0.891947	−	0.452139i	$-0.850661\pi$
$97$	−13.2742	+	4.31304i	−1.34779	+	0.437922i	−0.455840	+	0.890062i	$0.650661\pi$
$98$	8.64981	−	0.298795i	0.873763	−	0.0301829i
$99$	0.0282880	−	0.00860579i	0.00284305	−	0.000864914i
$100$	6.32974	+	7.74173i	0.632974	+	0.774173i
$101$	1.20687			0.120088			0.0600441	−	0.998196i	$-0.480876\pi$
$101$	1.20687			0.120088			0.0600441	+	0.998196i	$0.480876\pi$
$102$	1.79688	+	1.23779i	0.177918	+	0.122559i
$103$	1.10734	+	3.40804i	0.109109	+	0.335804i	0.990673	−	0.136261i	$-0.0435087\pi$
$103$	1.10734	+	3.40804i	0.109109	+	0.335804i	−0.881564	+	0.472065i	$0.843509\pi$
$104$	−7.77720	+	6.98672i	−0.762617	+	0.685105i
$105$	2.60835	−	2.52917i	0.254549	−	0.246821i
$106$	−1.62700	+	0.591485i	−0.158028	+	0.0574501i
$107$	−13.3672			−1.29225			−0.646127	−	0.763230i	$-0.723612\pi$
$107$	−13.3672			−1.29225			−0.646127	+	0.763230i	$0.723612\pi$
$108$	−8.15135	+	6.44635i	−0.784364	+	0.620301i
$109$	−3.94569	−	5.43077i	−0.377928	−	0.520174i	0.577106	−	0.816669i	$-0.304182\pi$
$109$	−3.94569	−	5.43077i	−0.377928	−	0.520174i	−0.955034	+	0.296496i	$0.904182\pi$
$110$	0.0273554	−	0.0149363i	0.00260823	−	0.00142412i
$111$	−0.643466	−	2.04574i	−0.0610751	−	0.194173i
$112$	3.71662	−	0.516626i	0.351188	−	0.0488166i
$113$	−9.67370	+	7.02835i	−0.910025	+	0.661172i	−0.941021	−	0.338348i	$-0.890132\pi$
$113$	−9.67370	+	7.02835i	−0.910025	+	0.661172i	0.0309961	+	0.999520i	$0.490132\pi$
$114$	−0.899747	−	0.619794i	−0.0842690	−	0.0580491i
$115$	12.3602	−	6.20481i	1.15260	−	0.578601i
$116$	3.53086	+	8.75819i	0.327833	+	0.813178i
$117$	−11.0868	−	0.208842i	−1.02498	−	0.0193075i
$118$	10.6954	+	13.7001i	0.984590	+	1.26120i
$119$	0.258223	−	0.794729i	0.0236713	−	0.0728527i
$120$	−7.03374	+	8.39801i	−0.642089	+	0.766630i
$121$	3.39916	+	10.4615i	0.309014	+	0.951048i
$122$	5.09460	−	7.54692i	0.461244	−	0.683266i
$123$	15.8291	−	4.97887i	1.42726	−	0.448930i
$124$	−8.20688	−	2.05278i	−0.737000	−	0.184345i
$125$	1.55013	+	11.0724i	0.138648	+	0.990342i
$126$	3.25619	+	2.28855i	0.290084	+	0.203880i
$127$	12.5606	+	9.12582i	1.11457	+	0.809785i	0.983378	−	0.181571i	$-0.0581183\pi$
$127$	12.5606	+	9.12582i	1.11457	+	0.809785i	0.131196	+	0.991356i	$0.458118\pi$
$128$	−10.9848	+	2.70807i	−0.970930	+	0.239362i
$129$	−14.2890	−	4.79201i	−1.25808	−	0.421913i
$130$	−11.4879	+	2.15715i	−1.00755	+	0.189194i
$131$	−11.1666	−	3.62824i	−0.975628	−	0.317001i	−0.222542	−	0.974923i	$-0.571435\pi$
$131$	−11.1666	−	3.62824i	−0.975628	−	0.317001i	−0.753086	+	0.657922i	$0.771435\pi$
$132$	0.0216791	+	0.0263763i	0.00188692	+	0.00229576i
$133$	−0.129299	+	0.397943i	−0.0112117	+	0.0345060i
$134$	5.60880	+	1.61058i	0.484526	+	0.139133i
$135$	−11.5314	+	1.42360i	−0.992466	+	0.122524i
$136$	−0.526618	+	2.46384i	−0.0451571	+	0.211273i
$137$	12.2739	−	8.91754i	1.04863	−	0.761877i	0.0766812	−	0.997056i	$-0.475568\pi$
$137$	12.2739	−	8.91754i	1.04863	−	0.761877i	0.971952	+	0.235179i	$0.0755676\pi$
$138$	9.21005	+	12.0293i	0.784012	+	1.02401i
$139$	−0.575896	−	0.418413i	−0.0488469	−	0.0354893i	0.563094	−	0.826393i	$-0.309611\pi$
$139$	−0.575896	−	0.418413i	−0.0488469	−	0.0354893i	−0.611941	+	0.790904i	$0.709611\pi$
$140$	3.85061	+	1.66524i	0.325436	+	0.140739i
$141$	0.191712	−	20.3568i	0.0161451	−	1.71435i
$142$	−0.950405	−	2.61428i	−0.0797562	−	0.219385i
$143$			0.0364305i			0.00304647i
$144$	−10.4786	−	5.84801i	−0.873216	−	0.487334i
$145$	−1.71408	+	10.4177i	−0.142346	+	0.865142i
$146$	−7.72039	+	11.4366i	−0.638944	+	0.946504i
$147$	−3.37041	+	10.0500i	−0.277987	+	0.828912i
$148$	1.89816	−	1.59031i	0.156028	−	0.130723i
$149$	5.48541			0.449382			0.224691	−	0.974430i	$-0.427863\pi$
$149$	5.48541			0.449382			0.224691	+	0.974430i	$0.427863\pi$
$150$	−11.5973	+	3.93720i	−0.946919	+	0.321471i
$151$			20.2287i			1.64619i	0.567904	+	0.823095i	$0.307755\pi$
$151$			20.2287i			1.64619i	−0.567904	+	0.823095i	$0.692245\pi$
$152$	0.263692	−	1.23372i	0.0213883	−	0.100068i
$153$	−2.19116	+	1.52976i	−0.177145	+	0.123674i
$154$	0.00731585	−	0.0108374i	0.000589528	−	0.000873301i
$155$	−6.64778	−	6.72796i	−0.533963	−	0.540403i
$156$	−4.67556	−	11.9201i	−0.374345	−	0.954369i
$157$	−16.5418			−1.32018			−0.660088	−	0.751188i	$-0.729481\pi$
$157$	−16.5418			−1.32018			−0.660088	+	0.751188i	$0.729481\pi$
$158$	−6.57916	+	2.39181i	−0.523410	+	0.190282i
$159$	0.0199669	−	2.12016i	0.00158348	−	0.168139i
$160$	−12.0669	−	3.79343i	−0.953972	−	0.299897i
$161$	3.41041	−	4.69403i	0.268778	−	0.369941i
$162$	−3.89512	−	12.1173i	−0.306030	−	0.952022i
$163$	−4.96354	−	6.83173i	−0.388775	−	0.535102i	0.569108	−	0.822263i	$-0.307289\pi$
$163$	−4.96354	−	6.83173i	−0.388775	−	0.535102i	−0.957882	+	0.287161i	$0.907289\pi$
$164$	12.3052	+	14.6872i	0.960874	+	1.14688i
$165$	0.00538969	+	0.0377898i	0.000419587	+	0.00294193i
$166$	3.70689	−	12.9091i	0.287710	−	1.00194i
$167$	10.8749	+	3.53347i	0.841524	+	0.273428i	0.697892	−	0.716203i	$-0.254122\pi$
$167$	10.8749	+	3.53347i	0.841524	+	0.273428i	0.143633	+	0.989631i	$0.454122\pi$
$168$	−1.00286	+	4.48492i	−0.0773720	+	0.346019i
$169$	0.204692	−	0.629978i	0.0157456	−	0.0484598i
$170$	−1.93419	+	2.04785i	−0.148346	+	0.157063i
$171$	1.09717	−	0.765993i	0.0839030	−	0.0585769i
$172$	−1.20086	−	17.3612i	−0.0915650	−	1.32378i
$173$	−13.6225	+	18.7498i	−1.03570	+	1.42552i	−0.135125	+	0.990829i	$0.543143\pi$
$173$	−13.6225	+	18.7498i	−1.03570	+	1.42552i	−0.900578	+	0.434694i	$0.856857\pi$
$174$	−11.5618	+	0.290406i	−0.876497	+	0.0220156i
$175$	2.71128	+	3.82743i	0.204954	+	0.289327i
$176$	−0.0185609	+	0.0347814i	−0.00139908	+	0.00262175i
$177$	−20.3060	+	6.38703i	−1.52629	+	0.480079i
$178$	−1.03163	+	1.52822i	−0.0773242	+	0.114545i
$179$	−4.42286	+	1.43708i	−0.330580	+	0.107412i	−0.469604	−	0.882877i	$-0.655603\pi$
$179$	−4.42286	+	1.43708i	−0.330580	+	0.107412i	0.139024	+	0.990289i	$0.455603\pi$
$180$	−6.61353	−	11.6731i	−0.492943	−	0.870062i
$181$	13.6727	+	4.44251i	1.01628	+	0.330210i	0.769353	−	0.638824i	$-0.220579\pi$
$181$	13.6727	+	4.44251i	1.01628	+	0.330210i	0.246928	+	0.969034i	$0.420579\pi$
$182$	−3.86529	+	3.01755i	−0.286515	+	0.223676i
$183$	6.46971	+	9.08346i	0.478255	+	0.671469i
$184$	−8.76412	+	15.1404i	−0.646100	+	1.11616i
$185$	2.73706	−	0.416705i	0.201233	−	0.0306367i
$186$	5.87764	−	8.53250i	0.430970	−	0.625633i
$187$	0.00516046	+	0.00710277i	0.000377370	+	0.000519406i
$188$	21.8019	−	8.78945i	1.59007	−	0.641037i
$189$	−4.02288	+	2.75259i	−0.292621	+	0.200222i
$190$	0.968505	−	1.02542i	0.0702627	−	0.0743916i
$191$	−11.0184	+	8.00535i	−0.797264	+	0.579246i	−0.910110	−	0.414366i	$-0.864003\pi$
$191$	−11.0184	+	8.00535i	−0.797264	+	0.579246i	0.112846	+	0.993612i	$0.464003\pi$
$192$	1.60922	−	13.7626i	0.116135	−	0.993233i
$193$			11.3104i			0.814143i	0.913396	+	0.407071i	$0.133450\pi$
$193$			11.3104i			0.814143i	−0.913396	+	0.407071i	$0.866550\pi$
$194$	18.5507	−	6.74400i	1.33187	−	0.484191i
$195$	2.45709	−	14.1031i	0.175956	−	1.00995i
$196$	−12.2108	+	0.844616i	−0.872200	+	0.0603297i
$197$	6.76616	−	2.19846i	0.482069	−	0.156634i	−0.0578935	−	0.998323i	$-0.518438\pi$
$197$	6.76616	−	2.19846i	0.482069	−	0.156634i	0.539963	+	0.841689i	$0.318438\pi$
$198$	−0.0395612	+	0.0135443i	−0.00281149	+	0.000962549i
$199$			13.6419i			0.967049i	0.875331	+	0.483524i	$0.160644\pi$
$199$			13.6419i			0.967049i	−0.875331	+	0.483524i	$0.839356\pi$
$200$	−9.32424	−	10.6329i	−0.659324	−	0.751859i
$201$	−4.25513	+	5.74218i	−0.300134	+	0.405022i
$202$	−1.70576	+	0.0589229i	−0.120017	+	0.00414580i
$203$	1.36872	+	4.21247i	0.0960650	+	0.295658i
$204$	−2.60009	−	1.66172i	−0.182043	−	0.116344i
$205$	3.22429	+	21.1783i	0.225194	+	1.47915i
$206$	−1.73147	−	4.76276i	−0.120637	−	0.331837i
$207$	−17.7519	+	5.40049i	−1.23384	+	0.375360i
$208$	10.6510	−	10.2545i	0.738511	−	0.711024i
$209$	−0.00258399	−	0.00355655i	−0.000178738	−	0.000246012i
$210$	−3.56308	+	3.70199i	−0.245876	+	0.255462i
$211$	8.25178	+	5.99527i	0.568076	+	0.412731i	0.834406	−	0.551151i	$-0.185811\pi$
$211$	8.25178	+	5.99527i	0.568076	+	0.412731i	−0.266330	+	0.963882i	$0.585811\pi$
$212$	2.27067	−	0.915422i	0.155950	−	0.0628714i
$213$	3.40669	+	0.0320830i	0.233423	+	0.00219829i
$214$	18.8928	−	0.652623i	1.29148	−	0.0446124i
$215$	8.93694	−	17.2828i	0.609494	−	1.17868i
$216$	11.2061	−	9.50906i	0.762482	−	0.647010i
$217$	−3.77378	−	1.22617i	−0.256181	−	0.0832381i
$218$	5.84187	+	7.48306i	0.395661	+	0.506817i
$219$	−9.80424	−	13.7651i	−0.662509	−	0.930161i
$220$	−0.0379341	+	0.0224461i	−0.00255751	+	0.00151331i
$221$	−1.01745	−	3.13140i	−0.0684413	−	0.210641i
$222$	1.00933	+	2.85997i	0.0677421	+	0.191949i
$223$	6.88503	+	5.00227i	0.461056	+	0.334977i	0.793945	−	0.607989i	$-0.208024\pi$
$223$	6.88503	+	5.00227i	0.461056	+	0.334977i	−0.332889	+	0.942966i	$0.608024\pi$
$224$	−5.22774	+	0.911640i	−0.349293	+	0.0609115i
$225$	0.462285	−	14.9929i	0.0308190	−	0.999525i
$226$	13.3294	−	10.4060i	0.886657	−	0.692195i
$227$	14.7948	+	10.7490i	0.981964	+	0.713439i	0.958147	−	0.286278i	$-0.0924180\pi$
$227$	14.7948	+	10.7490i	0.981964	+	0.713439i	0.0238172	+	0.999716i	$0.492418\pi$
$228$	1.30194	+	0.832071i	0.0862228	+	0.0551052i
$229$	−8.40654	+	2.73145i	−0.555520	+	0.180499i	−0.573304	−	0.819343i	$-0.694339\pi$
$229$	−8.40654	+	2.73145i	−0.555520	+	0.180499i	0.0177845	+	0.999842i	$0.494339\pi$
$230$	−17.1667	+	9.37315i	−1.13194	+	0.618047i
$231$	0.00929050	+	0.0130439i	0.000611270	+	0.000858223i
$232$	−5.41802	−	12.2062i	−0.355710	−	0.801375i
$233$	−7.73807	+	23.8153i	−0.506938	+	1.56019i	0.290551	+	0.956859i	$0.406161\pi$
$233$	−7.73807	+	23.8153i	−0.506938	+	1.56019i	−0.797489	+	0.603334i	$0.793839\pi$
$234$	15.6800	−	0.246119i	1.02503	−	0.0160893i
$235$	25.9329	+	4.26688i	1.69168	+	0.278341i
$236$	−15.7854	−	18.8412i	−1.02754	−	1.22645i
$237$	0.0807408	−	8.57337i	0.00524468	−	0.556900i
$238$	−0.326164	+	1.13585i	−0.0211421	+	0.0736264i
$239$	−9.87708	−	7.17612i	−0.638895	−	0.464185i	0.220575	−	0.975370i	$-0.429207\pi$
$239$	−9.87708	−	7.17612i	−0.638895	−	0.464185i	−0.859471	+	0.511185i	$0.829207\pi$
$240$	9.53126	−	12.2129i	0.615240	−	0.788340i
$241$	10.0010	−	7.26619i	0.644224	−	0.468056i	−0.217075	−	0.976155i	$-0.569652\pi$
$241$	10.0010	−	7.26619i	0.644224	−	0.468056i	0.861299	+	0.508099i	$0.169652\pi$
$242$	−5.31503	−	14.6201i	−0.341663	−	0.939813i
$243$	15.5712	+	0.733739i	0.998892	+	0.0470694i
$244$	−6.83210	+	10.9153i	−0.437380	+	0.698782i
$245$	−12.1557	−	6.28571i	−0.776600	−	0.401579i
$246$	−22.1293	+	7.80981i	−1.41091	+	0.497936i
$247$	0.509467	+	1.56798i	0.0324166	+	0.0997680i
$248$	11.6996	+	2.50065i	0.742924	+	0.158791i
$249$	13.2161	+	9.79354i	0.837537	+	0.620640i
$250$	−2.73149	−	15.5737i	−0.172755	−	0.984965i
$251$		−	9.55832i		−	0.603316i	−0.953416	−	0.301658i	$-0.902460\pi$
$251$		−	9.55832i		−	0.603316i	0.953416	−	0.301658i	$-0.0975400\pi$
$252$	−4.71393	−	3.07559i	−0.296950	−	0.193744i
$253$	0.0188377	+	0.0579765i	0.00118432	+	0.00364495i
$254$	−18.1983	−	12.2849i	−1.14187	−	0.770824i
$255$	−1.51869	−	3.09771i	−0.0951040	−	0.193986i
$256$	15.3934	−	4.36382i	0.962088	−	0.272739i
$257$	17.1258			1.06828			0.534138	−	0.845397i	$-0.320636\pi$
$257$	17.1258			1.06828			0.534138	+	0.845397i	$0.320636\pi$
$258$	20.4296	+	6.07526i	1.27189	+	0.378229i
$259$	0.939674	−	0.682713i	0.0583885	−	0.0424217i
$260$	16.1313	−	3.60972i	1.00042	−	0.223865i
$261$	4.63008	−	13.3866i	0.286595	−	0.828611i
$262$	15.9596	+	4.58286i	0.985990	+	0.283130i
$263$	−18.7156	−	25.7597i	−1.15405	−	1.58841i	−0.731115	−	0.682254i	$-0.761000\pi$
$263$	−18.7156	−	25.7597i	−1.15405	−	1.58841i	−0.422936	−	0.906160i	$-0.639000\pi$
$264$	−0.0319283	−	0.0362211i	−0.00196505	−	0.00222925i
$265$	2.70092	+	0.444396i	0.165916	+	0.0272990i
$266$	0.163319	−	0.568753i	0.0100138	−	0.0348725i
$267$	−1.31009	−	1.83936i	−0.0801760	−	0.112567i
$268$	−8.00594	−	2.00251i	−0.489041	−	0.122323i
$269$	−2.39005	+	7.35582i	−0.145724	+	0.448492i	−0.997103	−	0.0760582i	$-0.975767\pi$
$269$	−2.39005	+	7.35582i	−0.145724	+	0.448492i	0.851379	+	0.524550i	$0.175767\pi$
$270$	16.2286	−	2.57508i	0.987644	−	0.156714i
$271$	18.7641	−	6.09683i	1.13984	−	0.370356i	0.322532	−	0.946558i	$-0.395466\pi$
$271$	18.7641	−	6.09683i	1.13984	−	0.370356i	0.817307	+	0.576202i	$0.195466\pi$
$272$	0.624014	−	3.50804i	0.0378364	−	0.212706i
$273$	−1.80201	−	5.72904i	−0.109063	−	0.346738i
$274$	−16.9122	+	13.2030i	−1.02171	+	0.797624i
$275$	−0.0492765		0.000590812i	−0.00297149		3.56273e-5i
$276$	−13.6045	−	16.5523i	−0.818896	−	0.996329i
$277$	13.0368	+	9.47179i	0.783305	+	0.569105i	0.905969	−	0.423344i	$-0.139144\pi$
$277$	13.0368	+	9.47179i	0.783305	+	0.569105i	−0.122664	+	0.992448i	$0.539144\pi$
$278$	0.834383	+	0.563256i	0.0500430	+	0.0337819i
$279$	7.26407	+	10.4047i	0.434889	+	0.622915i
$280$	−5.52364	−	2.16561i	−0.330101	−	0.129420i
$281$	16.0084	+	5.20144i	0.954981	+	0.310292i	0.744738	−	0.667357i	$-0.232575\pi$
$281$	16.0084	+	5.20144i	0.954981	+	0.310292i	0.210243	+	0.977649i	$0.432575\pi$
$282$	0.722913	+	28.7810i	0.0430489	+	1.71388i
$283$	−17.3475	−	5.63654i	−1.03120	−	0.335057i	−0.255936	−	0.966694i	$-0.582384\pi$
$283$	−17.3475	−	5.63654i	−1.03120	−	0.335057i	−0.775265	+	0.631636i	$0.782384\pi$
$284$	1.47091	+	3.64854i	0.0872825	+	0.216501i
$285$	0.760450	+	1.55111i	0.0450452	+	0.0918798i
$286$	−0.00177864	−	0.0514898i	−0.000105173	−	0.00304465i
$287$	5.28255	+	7.27081i	0.311819	+	0.429182i
$288$	15.0956	+	7.75381i	0.889519	+	0.456898i
$289$	13.1113	+	9.52595i	0.771256	+	0.560350i
$290$	1.91401	−	14.8077i	0.112394	−	0.869540i
$291$	−0.227659	+	24.1736i	−0.0133456	+	1.41708i
$292$	10.3534	−	16.5412i	0.605887	−	0.967998i
$293$			24.9646i			1.45845i	0.684274	+	0.729225i	$0.260119\pi$
$293$			24.9646i			1.45845i	−0.684274	+	0.729225i	$0.739881\pi$
$294$	4.27297	−	14.3690i	0.249205	−	0.838015i
$295$	−4.13620	−	27.1680i	−0.240819	−	1.58178i
$296$	−2.60517	+	2.34038i	−0.151422	+	0.136032i
$297$	0.00144669	−	0.0511929i	8.39455e−5	−	0.00297051i
$298$	−7.75292	+	0.267813i	−0.449114	+	0.0155140i
$299$		−	22.8617i		−	1.32212i
$300$	16.1991	−	6.13094i	0.935257	−	0.353970i
$301$		−	8.16261i		−	0.470485i
$302$	−0.987623	−	28.5907i	−0.0568313	−	1.64521i
$303$	0.664651	−	1.98188i	0.0381832	−	0.113856i
$304$	−0.312461	+	1.75657i	−0.0179209	+	0.100746i
$305$	−12.8669	+	6.45915i	−0.736756	+	0.369850i
$306$	3.02223	−	2.26909i	0.172769	−	0.129716i
$307$		−	1.04094i		−	0.0594097i	−0.999559	−	0.0297049i	$-0.990543\pi$
$307$		−	1.04094i		−	0.0594097i	0.999559	−	0.0297049i	$-0.00945675\pi$
$308$	−0.00981089	+	0.0156744i	−0.000559027	+	0.000893133i
$309$	6.20640	+	0.0584496i	0.353070	+	0.00332508i
$310$	9.72425	+	9.18454i	0.552301	+	0.521647i
$311$	−22.3791	−	16.2594i	−1.26900	−	0.921983i	−0.269839	−	0.962905i	$-0.586970\pi$
$311$	−22.3791	−	16.2594i	−1.26900	−	0.921983i	−0.999162	+	0.0409220i	$0.986970\pi$
$312$	7.19027	+	16.6192i	0.407069	+	0.940876i
$313$	−19.4397	−	26.7565i	−1.09880	−	1.51236i	−0.836970	−	0.547250i	$-0.815675\pi$
$313$	−19.4397	−	26.7565i	−1.09880	−	1.51236i	−0.261827	−	0.965115i	$-0.584325\pi$
$314$	23.3796	−	0.807615i	1.31939	−	0.0455763i
$315$	−2.71683	−	5.67621i	−0.153076	−	0.319818i
$316$	9.18201	−	3.70173i	0.516529	−	0.208238i
$317$	−32.7902	−	10.6542i	−1.84168	−	0.598398i	−0.998115	−	0.0613722i	$-0.980452\pi$
$317$	−32.7902	−	10.6542i	−1.84168	−	0.598398i	−0.843566	−	0.537026i	$-0.819548\pi$
$318$	0.0752914	+	2.99754i	0.00422213	+	0.168094i
$319$	−0.0442582	−	0.0143804i	−0.00247799	−	0.000805147i
$320$	17.2402	+	4.77238i	0.963756	+	0.266784i
$321$	−7.36160	+	21.9511i	−0.410884	+	1.22519i
$322$	−4.59100	+	6.80091i	−0.255847	+	0.379000i
$323$	0.321437	+	0.233538i	0.0178853	+	0.0129944i
$324$	6.09685	+	16.9360i	0.338714	+	0.940889i
$325$	17.5071	+	5.92136i	0.971117	+	0.328458i
$326$	7.34887	+	9.41343i	0.407016	+	0.521362i
$327$	−11.0912	+	3.48862i	−0.613345	+	0.192921i
$328$	−18.1089	−	20.1577i	−0.999895	−	1.11302i
$329$	10.4862	−	3.40717i	0.578122	−	0.187843i
$330$	−0.00946264	−	0.0531478i	−0.000520901	−	0.00292569i
$331$	−7.48421	+	23.0340i	−0.411369	+	1.26606i	0.504089	+	0.863652i	$0.331828\pi$
$331$	−7.48421	+	23.0340i	−0.411369	+	1.26606i	−0.915458	+	0.402413i	$0.868172\pi$
$332$	−4.60895	+	18.4263i	−0.252949	+	1.01128i
$333$	−3.71381	−	0.0699568i	−0.203516	−	0.00383361i
$334$	−15.5428	−	4.46315i	−0.850462	−	0.244213i
$335$	−6.48501	−	6.56323i	−0.354314	−	0.358588i
$336$	1.19844	−	6.38782i	0.0653803	−	0.348484i
$337$	−12.3189	−	16.9555i	−0.671052	−	0.923624i	0.328732	−	0.944423i	$-0.393379\pi$
$337$	−12.3189	−	16.9555i	−0.671052	−	0.923624i	−0.999784	+	0.0207995i	$0.993379\pi$
$338$	−0.258549	+	0.900386i	−0.0140632	+	0.0489745i
$339$	6.21419	+	19.7565i	0.337509	+	1.07302i
$340$	2.63375	−	2.98881i	0.142835	−	0.162091i
$341$	0.0337275	−	0.0245045i	0.00182645	−	0.00132699i
$342$	−1.51332	+	1.13620i	−0.0818307	+	0.0614386i
$343$	−12.3077			−0.664554
$344$	2.54489	+	24.4791i	0.137211	+	1.31983i
$345$	−3.38226	−	23.7147i	−0.182095	−	1.27675i
$346$	18.3383	−	27.1655i	0.985872	−	1.46043i
$347$	4.74708	+	14.6100i	0.254837	+	0.784307i	0.993862	+	0.110629i	$0.0352866\pi$
$347$	4.74708	+	14.6100i	0.254837	+	0.784307i	−0.739025	+	0.673678i	$0.764713\pi$
$348$	16.3269	−	0.974930i	0.875215	−	0.0522618i
$349$		−	4.35986i		−	0.233378i	−0.993169	−	0.116689i	$-0.962772\pi$
$349$		−	4.35986i		−	0.233378i	0.993169	−	0.116689i	$-0.0372281\pi$
$350$	−4.01891	−	5.27721i	−0.214820	−	0.282078i
$351$	−6.44872	+	18.0914i	−0.344207	+	0.965647i
$352$	0.0245353	−	0.0500653i	0.00130774	−	0.00266849i
$353$	−8.31729	−	25.5980i	−0.442685	−	1.36244i	−0.885003	−	0.465585i	$-0.845844\pi$
$353$	−8.31729	−	25.5980i	−0.442685	−	1.36244i	0.442318	−	0.896858i	$-0.354156\pi$
$354$	28.3880	−	10.0186i	1.50881	−	0.532484i
$355$	−0.714061	+	4.33987i	−0.0378984	+	0.230336i
$356$	1.38347	−	2.21030i	0.0733237	−	0.117146i
$357$	−1.16287	−	0.861719i	−0.0615454	−	0.0456070i
$358$	6.18098	−	2.24706i	0.326675	−	0.118761i
$359$	−18.6364	+	13.5401i	−0.983592	+	0.714622i	−0.958509	−	0.285064i	$-0.907985\pi$
$359$	−18.6364	+	13.5401i	−0.983592	+	0.714622i	−0.0250836	+	0.999685i	$0.507985\pi$
$360$	9.91728	+	16.1755i	0.522686	+	0.852525i
$361$	15.2104	+	11.0510i	0.800546	+	0.581631i
$362$	−19.5414	−	5.61138i	−1.02707	−	0.294928i
$363$	19.0515	+	0.179421i	0.999947	+	0.00941713i
$364$	5.31577	−	4.45364i	0.278622	−	0.233434i
$365$	19.4986	−	9.78823i	1.02060	−	0.512339i
$366$	−9.58758	−	12.5224i	−0.501151	−	0.654558i
$367$	5.41270	−	16.6586i	0.282541	−	0.869571i	−0.704584	−	0.709620i	$-0.748866\pi$
$367$	5.41270	−	16.6586i	0.282541	−	0.869571i	0.987125	−	0.159951i	$-0.0511335\pi$
$368$	11.6478	−	21.8268i	0.607181	−	1.13780i
$369$	0.541297	−	28.7359i	0.0281788	−	1.49593i
$370$	−3.84814	+	0.722589i	−0.200055	+	0.0375656i
$371$	1.09214	−	0.354857i	0.0567009	−	0.0184232i
$372$	−7.89071	+	12.3465i	−0.409114	+	0.640138i
$373$	−4.96930	−	3.61041i	−0.257301	−	0.186940i	0.451656	−	0.892192i	$-0.350834\pi$
$373$	−4.96930	−	3.61041i	−0.257301	−	0.186940i	−0.708956	+	0.705253i	$0.750834\pi$
$374$	−0.00764042	−	0.00978689i	−0.000395077	−	0.000506068i
$375$	19.0363	+	3.55222i	0.983032	+	0.183436i
$376$	−30.3851	+	13.4872i	−1.56699	+	0.695548i
$377$	14.1191	+	10.2581i	0.727172	+	0.528321i
$378$	5.55143	−	4.08684i	0.285535	−	0.210204i
$379$	2.75757	+	8.48692i	0.141647	+	0.435944i	0.996565	−	0.0828196i	$-0.0263925\pi$
$379$	2.75757	+	8.48692i	0.141647	+	0.435944i	−0.854918	+	0.518763i	$0.826393\pi$
$380$	−1.31879	+	1.49658i	−0.0676526	+	0.0767729i
$381$	21.9035	−	15.6008i	1.12215	−	0.799253i
$382$	15.1823	−	11.8525i	0.776792	−	0.606425i
$383$	2.58269	+	0.839168i	0.131970	+	0.0428795i	0.374257	−	0.927325i	$-0.377898\pi$
$383$	2.58269	+	0.839168i	0.131970	+	0.0428795i	−0.242288	+	0.970204i	$0.577898\pi$
$384$	−1.60249	+	19.5303i	−0.0817766	+	0.996651i
$385$	−0.0184769	+	0.00927533i	−0.000941668	+	0.000472715i
$386$	−0.552207	−	15.9858i	−0.0281066	−	0.813657i
$387$	−15.7385	+	20.8258i	−0.800035	+	1.05864i
$388$	−25.8898	+	10.4375i	−1.31436	+	0.529882i
$389$	−17.2204	−	12.5113i	−0.873108	−	0.634350i	0.0583109	−	0.998298i	$-0.481429\pi$
$389$	−17.2204	−	12.5113i	−0.873108	−	0.634350i	−0.931419	+	0.363948i	$0.881429\pi$
$390$	−2.78422	+	20.0529i	−0.140985	+	1.01542i
$391$	−3.23841	−	4.45728i	−0.163773	−	0.225415i
$392$	17.2172	−	1.78992i	0.869597	−	0.0904047i
$393$	−12.1078	+	16.3392i	−0.610760	+	0.824203i
$394$	−9.45576	+	3.43758i	−0.476374	+	0.173183i
$395$	10.9218	+	1.79702i	0.549536	+	0.0904180i
$396$	0.0552534	−	0.0210746i	0.00277659	−	0.00105904i
$397$	2.55228	+	7.85511i	0.128095	+	0.394237i	0.994452	−	0.105189i	$-0.0335446\pi$
$397$	2.55228	+	7.85511i	0.128095	+	0.394237i	−0.866357	+	0.499425i	$0.833545\pi$
$398$	−0.666036	−	19.2811i	−0.0333854	−	0.966472i
$399$	0.582280	+	0.431487i	0.0291504	+	0.0216014i
$400$	13.6977	+	14.5730i	0.684887	+	0.728649i
$401$			0.822166i			0.0410570i	0.999789	+	0.0205285i	$0.00653489\pi$
$401$			0.822166i			0.0410570i	−0.999789	+	0.0205285i	$0.993465\pi$
$402$	5.73373	−	8.32358i	0.285973	−	0.415143i
$403$	−14.8695	+	4.83138i	−0.740701	+	0.240668i
$404$	2.40799	−	0.166560i	0.119802	−	0.00828665i
$405$	−4.01281	+	19.7205i	−0.199398	+	0.979919i
$406$	−2.14017	−	5.88696i	−0.106215	−	0.292165i
$407$			0.0122033i			0.000604894i
$408$	3.75602	+	2.22169i	0.185951	+	0.109990i
$409$	25.6516	−	18.6370i	1.26839	−	0.921538i	0.269251	−	0.963070i	$-0.413224\pi$
$409$	25.6516	−	18.6370i	1.26839	−	0.921538i	0.999137	+	0.0415318i	$0.0132238\pi$
$410$	−5.59110	−	29.7753i	−0.276125	−	1.47050i
$411$	−7.88454	−	25.0669i	−0.388916	−	1.23646i
$412$	2.67974	+	6.64701i	0.132021	+	0.327475i
$413$	−6.77660	−	9.32719i	−0.333455	−	0.458961i
$414$	24.8263	−	8.49960i	1.22015	−	0.417732i
$415$	−15.1058	+	14.9258i	−0.741515	+	0.732678i
$416$	−14.5531	+	15.0135i	−0.713524	+	0.736096i
$417$	−1.00426	+	0.715287i	−0.0491789	+	0.0350278i
$418$	0.00382577	+	0.00490057i	0.000187125	+	0.000239695i
$419$	−5.00205	−	1.62527i	−0.244366	−	0.0793994i	0.184273	−	0.982875i	$-0.441007\pi$
$419$	−5.00205	−	1.62527i	−0.244366	−	0.0793994i	−0.428639	+	0.903476i	$0.641007\pi$
$420$	4.85522	−	5.40625i	0.236910	−	0.263798i
$421$	−9.61759	+	3.12494i	−0.468733	+	0.152300i	−0.533854	−	0.845577i	$-0.679257\pi$
$421$	−9.61759	+	3.12494i	−0.468733	+	0.152300i	0.0651210	+	0.997877i	$0.479257\pi$
$422$	−11.9555	−	8.07066i	−0.581986	−	0.392873i
$423$	−33.3236	−	11.5257i	−1.62025	−	0.560401i
$424$	−3.16461	+	1.40469i	−0.153687	+	0.0682178i
$425$	4.25209	−	1.32544i	0.206257	−	0.0642934i
$426$	−4.81649	+	0.120979i	−0.233360	+	0.00586146i
$427$	−3.55021	+	4.88644i	−0.171807	+	0.236472i
$428$	−26.6706	+	1.84480i	−1.28917	+	0.0891716i
$429$	0.0598248	+	0.0200631i	0.00288837	+	0.000968654i
$430$	−11.7874	+	24.8634i	−0.568439	+	1.19902i
$431$	−0.582421	+	1.79251i	−0.0280543	+	0.0863421i	−0.964103	−	0.265527i	$-0.914454\pi$
$431$	−0.582421	+	1.79251i	−0.0280543	+	0.0863421i	0.936049	+	0.351870i	$0.114454\pi$
$432$	−15.3742	+	13.9869i	−0.739691	+	0.672947i
$433$	1.77746	+	0.577532i	0.0854194	+	0.0277544i	0.351415	−	0.936220i	$-0.385701\pi$
$433$	1.77746	+	0.577532i	0.0854194	+	0.0277544i	−0.265996	+	0.963974i	$0.585701\pi$
$434$	5.39361	+	1.54879i	0.258902	+	0.0743444i
$435$	16.1636	+	8.55205i	0.774984	+	0.410039i
$436$	−8.62206	−	10.2911i	−0.412922	−	0.492855i
$437$	1.62156	+	2.23189i	0.0775697	+	0.106766i
$438$	14.5291	+	18.9766i	0.694226	+	0.906735i
$439$	−2.66684	+	3.67059i	−0.127281	+	0.175188i	−0.867902	−	0.496736i	$-0.834532\pi$
$439$	−2.66684	+	3.67059i	−0.127281	+	0.175188i	0.740620	+	0.671924i	$0.234532\pi$
$440$	0.0525190	−	0.0335767i	0.00250375	−	0.00160071i
$441$	14.6476	+	11.0695i	0.697507	+	0.527121i
$442$	1.59092	+	4.37615i	0.0756724	+	0.208152i
$443$	−35.7446			−1.69828			−0.849139	−	0.528170i	$-0.822878\pi$
$443$	−35.7446			−1.69828			−0.849139	+	0.528170i	$0.822878\pi$
$444$	−1.56619	−	3.99292i	−0.0743283	−	0.189496i
$445$	2.60549	−	1.30795i	0.123512	−	0.0620027i
$446$	−9.97533	−	6.73391i	−0.472345	−	0.318860i
$447$	3.02094	−	9.00795i	0.142885	−	0.426061i
$448$	7.34423	−	1.54372i	0.346982	−	0.0729338i
$449$		−	25.9393i		−	1.22415i	−0.790800	−	0.612075i	$-0.790335\pi$
$449$		−	25.9393i		−	1.22415i	0.790800	−	0.612075i	$-0.209665\pi$
$450$	0.0786145	+	21.2131i	0.00370593	+	0.999993i
$451$	−0.0944240			−0.00444625
$452$	−18.3313	+	15.3583i	−0.862232	+	0.722392i
$453$	33.2189	+	11.1404i	1.56076	+	0.523422i
$454$	−21.4353	−	14.4700i	−1.00601	−	0.679113i
$455$	7.66508	−	1.16697i	0.359345	−	0.0547085i
$456$	−1.88074	−	1.11246i	−0.0880738	−	0.0520957i
$457$		−	30.2135i		−	1.41333i	−0.707549	−	0.706665i	$-0.750199\pi$
$457$		−	30.2135i		−	1.41333i	0.707549	−	0.706665i	$-0.249801\pi$
$458$	11.7482	−	4.27098i	0.548957	−	0.199570i
$459$	1.30540	+	4.44071i	0.0609307	+	0.207275i
$460$	23.8052	−	14.0859i	1.10992	−	0.656757i
$461$	9.56567	+	6.94986i	0.445517	+	0.323687i	0.787823	−	0.615901i	$-0.211208\pi$
$461$	9.56567	+	6.94986i	0.445517	+	0.323687i	−0.342306	+	0.939589i	$0.611208\pi$
$462$	−0.0137678	−	0.0179822i	−0.000640534	−	0.000836608i
$463$	−26.0123	+	18.8990i	−1.20889	+	0.878312i	−0.995130	−	0.0985735i	$-0.968572\pi$
$463$	−26.0123	+	18.8990i	−1.20889	+	0.878312i	−0.213763	+	0.976886i	$0.568572\pi$
$464$	8.25361	+	16.9873i	0.383164	+	0.788617i
$465$	−14.7095	+	7.21151i	−0.682137	+	0.334426i
$466$	9.77402	−	34.0377i	0.452773	−	1.57676i
$467$	−6.55382	+	20.1706i	−0.303274	+	0.933383i	0.677041	+	0.735945i	$0.263262\pi$
$467$	−6.55382	+	20.1706i	−0.303274	+	0.933383i	−0.980315	+	0.197437i	$0.936738\pi$
$468$	−22.1496	+	1.11340i	−1.02387	+	0.0514669i
$469$	−3.68138	−	1.19615i	−0.169990	−	0.0552332i
$470$	−36.8612	−	4.76457i	−1.70028	−	0.219773i
$471$	−9.10991	+	27.1643i	−0.419762	+	1.25166i
$472$	23.2305	+	25.8588i	1.06927	+	1.19025i
$473$	0.0693816	+	0.0504087i	0.00319017	+	0.00231779i
$474$	0.304459	+	12.1213i	0.0139843	+	0.556749i
$475$	−2.12914	+	0.663686i	−0.0976916	+	0.0304520i
$476$	0.405535	−	1.62131i	0.0185877	−	0.0743124i
$477$	−3.47065	−	1.20041i	−0.158910	−	0.0549628i
$478$	14.3103	+	9.66029i	0.654540	+	0.441852i
$479$	7.13416	+	21.9567i	0.325968	+	1.00323i	0.971002	+	0.239073i	$0.0768434\pi$
$479$	7.13416	+	21.9567i	0.325968	+	1.00323i	−0.645033	+	0.764154i	$0.723157\pi$
$480$	−12.8749	+	17.7267i	−0.587658	+	0.809110i
$481$	1.41423	−	4.35257i	0.0644835	−	0.198460i
$482$	−13.7804	+	10.7581i	−0.627681	+	0.490018i
$483$	−5.83018	−	8.18557i	−0.265282	−	0.372456i
$484$	8.22590	+	20.4041i	0.373904	+	0.927458i
$485$	−30.7954	−	5.06692i	−1.39835	−	0.230077i
$486$	−22.0437	−	0.276817i	−0.999921	−	0.0125567i
$487$	27.1204	−	19.7042i	1.22894	−	0.892880i	0.232134	−	0.972684i	$-0.425429\pi$
$487$	27.1204	−	19.7042i	1.22894	−	0.892880i	0.996811	+	0.0798034i	$0.0254293\pi$
$488$	9.12337	−	15.7610i	0.412996	−	0.713466i
$489$	−13.9524	+	4.38857i	−0.630947	+	0.198458i
$490$	17.4874	+	8.29056i	0.790000	+	0.374529i
$491$	−7.84809	−	10.8020i	−0.354179	−	0.487486i	0.594336	−	0.804217i	$-0.297415\pi$
$491$	−7.84809	−	10.8020i	−0.354179	−	0.487486i	−0.948516	+	0.316731i	$0.897415\pi$
$492$	30.8956	−	12.1186i	1.39288	−	0.546348i
$493$	4.20586			0.189423
$494$	−0.796619	−	2.19126i	−0.0358416	−	0.0985895i
$495$	0.0650252	+	0.0119609i	0.00292267	+	0.000537602i
$496$	−16.6579	−	2.96314i	−0.747963	−	0.133049i
$497$	0.570188	+	1.75486i	0.0255764	+	0.0787162i
$498$	−19.1574	−	13.1967i	−0.858464	−	0.591356i
$499$	−9.63303			−0.431233			−0.215617	−	0.976478i	$-0.569176\pi$
$499$	−9.63303			−0.431233			−0.215617	+	0.976478i	$0.569176\pi$
$500$	4.62096	+	21.8780i	0.206656	+	0.978414i
$501$	11.7916	−	15.9124i	0.526809	−	0.710914i
$502$	0.466664	+	13.5094i	0.0208282	+	0.602956i
$503$	13.7256	−	4.45972i	0.611994	−	0.198849i	0.0134114	−	0.999910i	$-0.495731\pi$
$503$	13.7256	−	4.45972i	0.611994	−	0.198849i	0.598582	+	0.801061i	$0.295731\pi$
$504$	6.81269	+	4.11680i	0.303461	+	0.183377i
$505$	2.39712	+	1.23955i	0.106671	+	0.0551593i
$506$	−0.0294552	−	0.0810225i	−0.00130944	−	0.00360189i
$507$	−0.921799	−	0.683081i	−0.0409385	−	0.0303367i
$508$	26.3208	+	16.4746i	1.16780	+	0.730944i
$509$	31.3326	−	22.7645i	1.38879	−	1.00902i	0.392797	−	0.919625i	$-0.371507\pi$
$509$	31.3326	−	22.7645i	1.38879	−	1.00902i	0.995996	−	0.0893928i	$-0.0284927\pi$
$510$	2.29771	+	4.30407i	0.101744	+	0.190587i
$511$	5.38001	−	7.40494i	0.237997	−	0.327575i
$512$	−21.5435	+	6.91924i	−0.952099	+	0.305790i
$513$	−0.653648	−	2.22359i	−0.0288593	−	0.0981739i
$514$	−24.2051	+	0.836128i	−1.06764	+	0.0368800i
$515$	−1.30089	+	7.90647i	−0.0573242	+	0.348401i
$516$	−29.1712	−	7.58916i	−1.28419	−	0.334094i
$517$	−0.0357974	+	0.110173i	−0.00157437	+	0.00484540i
$518$	−1.29478	+	1.01080i	−0.0568892	+	0.0444122i
$519$	23.2881	+	32.6964i	1.02223	+	1.43521i
$520$	−22.6232	+	5.88944i	−0.992094	+	0.258269i
$521$	−15.6819	+	5.09537i	−0.687039	+	0.223232i	−0.631674	−	0.775234i	$-0.717632\pi$
$521$	−15.6819	+	5.09537i	−0.687039	+	0.223232i	−0.0553643	+	0.998466i	$0.517632\pi$
$522$	−5.89044	+	19.1463i	−0.257818	+	0.838011i
$523$	−23.2604	+	32.0153i	−1.01711	+	1.39993i	−0.102897	+	0.994692i	$0.532811\pi$
$523$	−23.2604	+	32.0153i	−1.01711	+	1.39993i	−0.914211	+	0.405238i	$0.867189\pi$
$524$	−22.7806	−	5.69809i	−0.995177	−	0.248922i
$525$	7.77844	−	2.34452i	0.339479	−	0.102323i
$526$	27.7097	+	35.4943i	1.20820	+	1.54763i
$527$	−2.21469	+	3.04826i	−0.0964734	+	0.132784i
$528$	0.0468950	+	0.0496350i	0.00204084	+	0.00216009i
$529$	−4.71406	−	14.5084i	−0.204959	−	0.630799i
$530$	−3.83909	−	0.496230i	−0.166760	−	0.0215549i
$531$	−0.694390	+	36.8632i	−0.0301340	+	1.59973i
$532$	−0.203063	+	0.811833i	−0.00880388	+	0.0351974i
$533$	33.6784	+	10.9428i	1.45877	+	0.473984i
$534$	1.94144	+	2.53573i	0.0840143	+	0.109732i
$535$	−26.5503	−	13.7291i	−1.14787	−	0.593563i
$536$	11.4131	+	2.43942i	0.492972	+	0.105367i
$537$	−0.0758543	+	8.05450i	−0.00327336	+	0.347577i
$538$	3.01889	−	10.5132i	0.130154	−	0.453256i
$539$	0.0354544	−	0.0487989i	0.00152713	−	0.00210192i
$540$	−22.8114	+	4.43186i	−0.981645	+	0.190717i
$541$	1.69362	+	2.33107i	0.0728145	+	0.100221i	0.843871	−	0.536546i	$-0.180271\pi$
$541$	1.69362	+	2.33107i	0.0728145	+	0.100221i	−0.771056	+	0.636767i	$0.780271\pi$
$542$	−26.2230	+	9.53320i	−1.12637	+	0.409486i
$543$	14.8252	−	20.0062i	0.636209	−	0.858546i
$544$	−0.710691	+	4.98862i	−0.0304706	+	0.213885i
$545$	−2.25921	−	14.8393i	−0.0967740	−	0.635646i
$546$	2.82662	+	8.00928i	0.120968	+	0.342766i
$547$	−12.5631	+	4.08199i	−0.537158	+	0.174533i	−0.565018	−	0.825079i	$-0.691131\pi$
$547$	−12.5631	+	4.08199i	−0.537158	+	0.174533i	0.0278601	+	0.999612i	$0.491131\pi$
$548$	23.2587	−	19.4865i	0.993561	−	0.832421i
$549$	18.4796	−	5.62187i	0.788688	−	0.239935i
$550$	0.0696748	−	0.00157078i	0.00297095	−	6.69784e-5i
$551$	−2.10599			−0.0897183
$552$	20.0364	+	22.7303i	0.852804	+	0.967464i
$553$	4.41632	−	1.43495i	0.187801	−	0.0610202i
$554$	−18.8883	−	12.7507i	−0.802485	−	0.541723i
$555$	0.823063	−	4.72420i	0.0349371	−	0.200531i
$556$	−1.20679	−	0.755353i	−0.0511794	−	0.0320341i
$557$		−	6.54126i		−	0.277162i	−0.990351	−	0.138581i	$-0.955746\pi$
$557$		−	6.54126i		−	0.277162i	0.990351	−	0.138581i	$-0.0442542\pi$
$558$	−10.7748	−	14.3511i	−0.456134	−	0.607530i
$559$	−18.9046	−	26.0199i	−0.799579	−	1.10053i
$560$	7.91268	+	2.79112i	0.334372	+	0.117947i
$561$	0.0145059	−	0.00456268i	0.000612439	−	0.000192636i
$562$	−22.8797	−	6.56999i	−0.965124	−	0.277138i
$563$	1.78517	−	1.29700i	0.0752357	−	0.0546620i	−0.549532	−	0.835473i	$-0.685194\pi$
$563$	1.78517	−	1.29700i	0.0752357	−	0.0546620i	0.624767	+	0.780811i	$0.285194\pi$
$564$	−2.42691	−	40.6429i	−0.102191	−	1.71138i
$565$	−26.4329	+	4.02428i	−1.11204	+	0.169303i
$566$	24.7936	+	7.11957i	1.04215	+	0.299258i
$567$	2.30472	+	8.12214i	0.0967892	+	0.341098i
$568$	−2.25707	−	5.08493i	−0.0947047	−	0.213359i
$569$	44.2297	+	14.3711i	1.85421	+	0.602468i	0.996020	+	0.0891315i	$0.0284091\pi$
$569$	44.2297	+	14.3711i	1.85421	+	0.602468i	0.858187	+	0.513337i	$0.171591\pi$
$570$	−1.15053	−	2.15517i	−0.0481903	−	0.0902699i
$571$	−1.27851	−	3.93486i	−0.0535041	−	0.164669i	0.920734	−	0.390191i	$-0.127591\pi$
$571$	−1.27851	−	3.93486i	−0.0535041	−	0.164669i	−0.974238	+	0.225522i	$0.927591\pi$
$572$	0.00502775	+	0.0726873i	0.000210221	+	0.00303921i
$573$	7.07801	+	22.5028i	0.295688	+	0.940067i
$574$	−7.82119	−	10.0184i	−0.326450	−	0.418162i
$575$	30.9231	+	0.370760i	1.28958	+	0.0154617i
$576$	−21.7143	−	10.2220i	−0.904763	−	0.425916i
$577$	13.6763	−	18.8239i	0.569353	−	0.783648i	−0.423124	−	0.906072i	$-0.639067\pi$
$577$	13.6763	−	18.8239i	0.569353	−	0.783648i	0.992478	+	0.122424i	$0.0390667\pi$
$578$	−18.9963	−	12.8236i	−0.790141	−	0.533390i
$579$	18.5736	+	6.22890i	0.771892	+	0.258864i
$580$	−1.98224	+	21.0223i	−0.0823082	+	0.872902i
$581$	−2.75304	+	8.47299i	−0.114215	+	0.351519i
$582$	−0.858459	−	34.1774i	−0.0355843	−	1.41670i
$583$	−0.00372830	+	0.0114745i	−0.000154410	+	0.000475226i
$584$	−13.8256	+	23.8843i	−0.572108	+	0.988338i
$585$	−21.8065	−	11.8019i	−0.901588	−	0.487947i
$586$	−1.21884	−	35.2843i	−0.0503500	−	1.45758i
$587$	3.06786	−	2.22893i	0.126624	−	0.0919977i	−0.522671	−	0.852535i	$-0.675064\pi$
$587$	3.06786	−	2.22893i	0.126624	−	0.0919977i	0.649295	+	0.760537i	$0.275064\pi$
$588$	−5.33776	+	20.5173i	−0.220126	+	0.846119i
$589$	1.10896	−	1.52635i	0.0456938	−	0.0628921i
$590$	7.17241	+	38.1966i	0.295283	+	1.57253i
$591$	0.116043	−	12.3219i	0.00477338	−	0.506855i
$592$	3.56780	−	3.43501i	0.146636	−	0.141178i
$593$	−29.2858			−1.20263			−0.601313	−	0.799014i	$-0.705355\pi$
$593$	−29.2858			−1.20263			−0.601313	+	0.799014i	$0.705355\pi$
$594$	0.000454672		0.0724252i	1.86554e−5		0.00297164i
$595$	1.32914	−	1.31330i	0.0544894	−	0.0538400i
$596$	10.9447	−	0.757038i	0.448311	−	0.0310095i
$597$	22.4022	+	7.51290i	0.916863	+	0.307482i
$598$	1.11617	+	32.3120i	0.0456436	+	1.32134i
$599$	33.6527			1.37501			0.687505	−	0.726180i	$-0.258706\pi$
$599$	33.6527			1.37501			0.687505	+	0.726180i	$0.258706\pi$
$600$	−22.5960	+	9.45617i	−0.922479	+	0.386047i
$601$	−25.6983			−1.04826			−0.524128	−	0.851639i	$-0.675609\pi$
$601$	−25.6983			−1.04826			−0.524128	+	0.851639i	$0.675609\pi$
$602$	0.398522	+	11.5368i	0.0162425	+	0.470205i
$603$	7.08622	+	10.1500i	0.288573	+	0.413339i
$604$	2.79175	+	40.3610i	0.113595	+	1.64227i
$605$	−3.99331	+	24.2702i	−0.162351	+	0.986724i
$606$	−0.842637	+	2.83358i	−0.0342298	+	0.115106i
$607$	−31.4928			−1.27825			−0.639126	−	0.769102i	$-0.720704\pi$
$607$	−31.4928			−1.27825			−0.639126	+	0.769102i	$0.720704\pi$
$608$	0.355863	−	2.49794i	0.0144321	−	0.101305i
$609$	7.67135	+	0.0722460i	0.310859	+	0.00292756i
$610$	17.8703	−	9.75737i	0.723549	−	0.395064i
$611$	25.5358	−	35.1470i	1.03307	−	1.42190i
$612$	−4.16075	+	3.35463i	−0.168188	+	0.135603i
$613$	29.1199	−	21.1569i	1.17614	−	0.854518i	0.184412	−	0.982849i	$-0.440962\pi$
$613$	29.1199	−	21.1569i	1.17614	−	0.854518i	0.991731	+	0.128331i	$0.0409619\pi$
$614$	0.0508218	+	1.47124i	0.00205100	+	0.0593743i
$615$	36.5539	+	6.36853i	1.47400	+	0.256804i
$616$	0.0131012	−	0.0226327i	0.000527861	−	0.000911899i
$617$	−1.60234	+	4.93149i	−0.0645077	+	0.198534i	−0.978116	−	0.208062i	$-0.933284\pi$
$617$	−1.60234	+	4.93149i	−0.0645077	+	0.198534i	0.913608	+	0.406596i	$0.133284\pi$
$618$	−8.77479	+	0.220403i	−0.352974	+	0.00886590i
$619$	2.64082	−	8.12761i	0.106144	−	0.326676i	−0.883854	−	0.467764i	$-0.845060\pi$
$619$	2.64082	−	8.12761i	0.106144	−	0.326676i	0.989997	+	0.141087i	$0.0450599\pi$
$620$	−14.1924	−	12.5064i	−0.569980	−	0.502269i
$621$	−0.907859	+	32.1257i	−0.0364311	+	1.28916i
$622$	32.4238	+	21.8879i	1.30007	+	0.877624i
$623$	0.718901	−	0.989482i	0.0288022	−	0.0396428i
$624$	−10.9739	−	23.1380i	−0.439308	−	0.926262i
$625$	−8.29327	+	23.5844i	−0.331731	+	0.943374i
$626$	28.7818	+	36.8677i	1.15035	+	1.47353i
$627$	−0.00726350	+	0.00228466i	−0.000290076	+	9.12405e-5i
$628$	−33.0046	+	2.28292i	−1.31703	+	0.0910983i
$629$	−0.340821	−	1.04894i	−0.0135894	−	0.0418239i
$630$	4.11702	+	7.88994i	0.164026	+	0.314343i
$631$	2.53858	+	0.824835i	0.101059	+	0.0328362i	0.359110	−	0.933295i	$-0.383080\pi$
$631$	2.53858	+	0.824835i	0.101059	+	0.0328362i	−0.258051	+	0.966131i	$0.583080\pi$
$632$	−12.7969	+	5.68020i	−0.509032	+	0.225946i
$633$	14.3897	−	10.2490i	0.571937	−	0.407363i
$634$	46.8649	+	13.4574i	1.86124	+	0.534461i
$635$	15.5753	+	31.0267i	0.618088	+	1.23126i
$636$	−0.252763	−	4.23296i	−0.0100227	−	0.167848i
$637$	−18.3009	+	13.2964i	−0.725107	+	0.526821i
$638$	0.0632554	+	0.0181640i	0.00250431	+	0.000719119i
$639$	1.92883	−	5.57668i	0.0763032	−	0.220610i
$640$	−24.5998	−	5.90343i	−0.972392	−	0.233353i
$641$	−15.8188	−	21.7728i	−0.624807	−	0.859973i	0.372885	−	0.927878i	$-0.378369\pi$
$641$	−15.8188	−	21.7728i	−0.624807	−	0.859973i	−0.997692	+	0.0679046i	$0.978369\pi$
$642$	9.33295	−	31.3845i	0.368342	−	1.23865i
$643$		−	46.6972i		−	1.84156i	−0.390083	−	0.920780i	$-0.627554\pi$
$643$		−	46.6972i		−	1.84156i	0.390083	−	0.920780i	$-0.372446\pi$
$644$	6.15675	−	9.83635i	0.242610	−	0.387607i
$645$	−23.4595	−	24.1940i	−0.923716	−	0.952636i
$646$	−0.465712	−	0.314382i	−0.0183232	−	0.0123692i
$647$	22.3336	−	7.25663i	0.878025	−	0.285288i	0.164888	−	0.986312i	$-0.447274\pi$
$647$	22.3336	−	7.25663i	0.878025	−	0.285288i	0.713137	+	0.701025i	$0.247274\pi$
$648$	−9.44397	−	23.6392i	−0.370994	−	0.928635i
$649$	0.121130			0.00475475
$650$	−25.0331	−	7.51434i	−0.981878	−	0.294737i
$651$	−4.09188	+	5.52188i	−0.160374	+	0.216420i
$652$	−10.8463	−	12.9459i	−0.424772	−	0.506999i
$653$	12.8937	−	4.18941i	0.504569	−	0.163944i	−0.0456621	−	0.998957i	$-0.514540\pi$
$653$	12.8937	−	4.18941i	0.504569	−	0.163944i	0.550231	+	0.835013i	$0.314540\pi$
$654$	15.5057	−	5.47222i	0.606319	−	0.213981i
$655$	−18.4529	−	18.6755i	−0.721014	−	0.729711i
$656$	26.5787	+	27.6062i	1.03772	+	1.07784i
$657$	−28.0040	+	8.51941i	−1.09254	+	0.332374i
$658$	−14.6545	+	5.32756i	−0.571293	+	0.207690i
$659$	5.31022	+	7.30890i	0.206857	+	0.284714i	0.899822	−	0.436257i	$-0.143696\pi$
$659$	5.31022	+	7.30890i	0.206857	+	0.284714i	−0.692965	+	0.720971i	$0.743696\pi$
$660$	0.0159690	+	0.0746556i	0.000621594	+	0.00290596i
$661$	10.4609	−	14.3981i	0.406880	−	0.560022i	−0.555574	−	0.831467i	$-0.687501\pi$
$661$	10.4609	−	14.3981i	0.406880	−	0.560022i	0.962454	+	0.271445i	$0.0875014\pi$
$662$	9.45338	−	32.9210i	0.367416	−	1.27951i
$663$	−5.70261	−	0.0537051i	−0.221471	−	0.00208573i
$664$	5.61453	−	26.2682i	0.217886	−	1.01941i
$665$	−0.665537	+	0.657605i	−0.0258084	+	0.0255008i
$666$	5.25241	−	0.0824437i	0.203527	−	0.00319463i
$667$	27.7739	+	9.02429i	1.07541	+	0.349422i
$668$	22.1856	+	5.54925i	0.858386	+	0.214707i
$669$	12.0063	−	8.55150i	0.464190	−	0.330620i
$670$	9.48616	+	8.95966i	0.366482	+	0.346142i
$671$	−0.0196099	−	0.0603530i	−0.000757031	−	0.00232990i
$672$	−1.38197	+	9.08687i	−0.0533106	+	0.350534i
$673$	−17.6830	+	24.3386i	−0.681630	+	0.938183i	−0.999952	−	0.00979984i	$-0.996881\pi$
$673$	−17.6830	+	24.3386i	−0.681630	+	0.938183i	0.318322	+	0.947983i	$0.396881\pi$
$674$	18.2390	+	23.3629i	0.702538	+	0.899907i
$675$	−24.3662	−	9.01606i	−0.937855	−	0.347028i
$676$	0.321466	−	1.28520i	0.0123641	−	0.0494308i
$677$	5.25897	−	7.23835i	0.202119	−	0.278192i	−0.695910	−	0.718129i	$-0.744999\pi$
$677$	5.25897	−	7.23835i	0.202119	−	0.278192i	0.898029	+	0.439936i	$0.144999\pi$
$678$	−9.74753	−	27.6198i	−0.374351	−	1.06073i
$679$	−12.4523	+	4.04601i	−0.477877	+	0.155272i
$680$	−3.57655	+	4.35288i	−0.137154	+	0.166925i
$681$	25.7995	−	18.3757i	0.988639	−	0.704160i
$682$	−0.0464731	+	0.0362806i	−0.00177955	+	0.00138926i
$683$	11.5985	−	35.6964i	0.443803	−	1.36589i	−0.439988	−	0.898004i	$-0.645017\pi$
$683$	11.5985	−	35.6964i	0.443803	−	1.36589i	0.883791	−	0.467882i	$-0.154983\pi$
$684$	2.08340	−	1.67975i	0.0796609	−	0.0642270i
$685$	33.5379	−	5.10598i	1.28142	−	0.195090i
$686$	17.3954	−	0.600897i	0.664158	−	0.0229424i
$687$	−0.144176	+	15.3092i	−0.00550067	+	0.584082i
$688$	−4.79201	−	34.4738i	−0.182694	−	1.31430i
$689$	2.65955	−	3.66056i	0.101321	−	0.139456i
$690$	5.93820	+	33.3525i	0.226064	+	1.26971i
$691$	15.8788	−	11.5366i	0.604059	−	0.438875i	−0.243258	−	0.969962i	$-0.578216\pi$
$691$	15.8788	−	11.5366i	0.604059	−	0.438875i	0.847317	+	0.531087i	$0.178216\pi$
$692$	−24.5925	+	39.2903i	−0.934866	+	1.49359i
$693$	0.0265366	−	0.00807300i	0.00100804	−	0.000306668i
$694$	−7.42269	−	20.4176i	−0.281762	−	0.775042i
$695$	−0.714119	−	1.42256i	−0.0270881	−	0.0539606i
$696$	−23.0284	+	2.17506i	−0.872889	+	0.0824456i
$697$	8.11626	−	2.63713i	0.307425	−	0.0998885i
$698$	0.212861	+	6.16210i	0.00805689	+	0.233239i
$699$	34.8472	+	25.8228i	1.31804	+	0.976708i
$700$	5.93786	+	7.26243i	0.224430	+	0.274494i
$701$	48.6053			1.83580			0.917898	−	0.396817i	$-0.129885\pi$
$701$	48.6053			1.83580			0.917898	+	0.396817i	$0.129885\pi$
$702$	8.23116	−	25.8847i	0.310665	−	0.976955i
$703$	0.170659	+	0.525233i	0.00643651	+	0.0198095i
$704$	−0.0322332	+	0.0719587i	−0.00121483	+	0.00271204i
$705$	21.2888	−	40.2363i	0.801782	−	1.51539i
$706$	13.0052	+	35.7734i	0.489456	+	1.34635i
$707$	1.13215			0.0425790
$708$	−39.6337	+	15.5460i	−1.48952	+	0.584255i
$709$	−19.6249	−	27.0114i	−0.737030	−	1.01443i	−0.998784	−	0.0493002i	$-0.984301\pi$
$709$	−19.6249	−	27.0114i	−0.737030	−	1.01443i	0.261754	−	0.965135i	$-0.415699\pi$
$710$	0.797349	−	6.16870i	0.0299240	−	0.231507i
$711$	−14.0344	−	4.85413i	−0.526332	−	0.182044i
$712$	−1.84744	+	3.19152i	−0.0692357	+	0.119607i
$713$	−21.1655	+	15.3776i	−0.792652	+	0.575896i
$714$	1.68563	+	1.16115i	0.0630832	+	0.0434551i
$715$	−0.0374170	+	0.0723593i	−0.00139931	+	0.00270608i
$716$	−8.62631	+	3.47770i	−0.322380	+	0.129968i
$717$	−17.2239	+	12.2678i	−0.643238	+	0.458148i
$718$	25.6791	−	20.0471i	0.958335	−	0.748152i
$719$	−6.98255	+	21.4901i	−0.260405	+	0.801444i	0.732311	+	0.680970i	$0.238442\pi$
$719$	−6.98255	+	21.4901i	−0.260405	+	0.801444i	−0.992716	+	0.120474i	$0.961558\pi$
$720$	−14.8065	−	22.3778i	−0.551806	−	0.833972i
$721$	1.03878	+	3.19704i	0.0386863	+	0.119064i
$722$	−22.0374	−	14.8765i	−0.820148	−	0.553647i
$723$	−6.42448	−	20.4250i	−0.238929	−	0.759614i
$724$	27.8932	+	6.97689i	1.03664	+	0.259294i
$725$	−14.1043	+	18.9314i	−0.523822	+	0.703095i
$726$	−26.9357	+	0.676562i	−0.999676	+	0.0251096i
$727$	34.4795	+	25.0508i	1.27877	+	0.929084i	0.999515	−	0.0311318i	$-0.00991117\pi$
$727$	34.4795	+	25.0508i	1.27877	+	0.929084i	0.279259	+	0.960216i	$0.409911\pi$
$728$	−7.29571	+	6.55417i	−0.270397	+	0.242914i
$729$	9.78031	−	25.1664i	0.362234	−	0.932087i
$730$	−27.0808	+	14.7864i	−1.00231	+	0.547268i
$731$	−7.37157	−	2.39517i	−0.272647	−	0.0885885i
$732$	14.1622	+	17.2307i	0.523449	+	0.636867i
$733$	12.9041	−	39.7149i	0.476625	−	1.46690i	−0.367128	−	0.930171i	$-0.619659\pi$
$733$	12.9041	−	39.7149i	0.476625	−	1.46690i	0.843753	−	0.536731i	$-0.180341\pi$
$734$	−6.83683	+	23.8090i	−0.252352	+	0.878807i
$735$	−17.0166	+	16.5000i	−0.627666	+	0.608611i
$736$	−15.3969	+	31.4181i	−0.567539	+	1.15808i
$737$	0.0329017	−	0.0239045i	0.00121195	−	0.000880534i
$738$	0.637916	+	40.6410i	0.0234820	+	1.49601i
$739$	−20.6230	−	14.9835i	−0.758628	−	0.551176i	0.139861	−	0.990171i	$-0.455334\pi$
$739$	−20.6230	−	14.9835i	−0.758628	−	0.551176i	−0.898489	+	0.438995i	$0.855334\pi$
$740$	5.40357	−	1.20916i	0.198639	−	0.0444497i
$741$	2.85545	+	0.0268916i	0.104898	+	0.000987888i
$742$	−1.52627	+	0.554865i	−0.0560311	+	0.0203697i
$743$			14.3759i			0.527400i	0.964605	+	0.263700i	$0.0849428\pi$
$743$			14.3759i			0.527400i	−0.964605	+	0.263700i	$0.915057\pi$
$744$	10.5497	−	17.8355i	0.386771	−	0.653881i
$745$	10.8953	+	5.63395i	0.399172	+	0.206412i
$746$	7.19973	+	4.86023i	0.263601	+	0.177946i
$747$	23.3610	−	16.3095i	0.854735	−	0.596734i
$748$	0.0112766	+	0.0134595i	0.000412312	+	0.000492127i
$749$	−12.5396			−0.458187
$750$	−27.0788	−	4.09120i	−0.988778	−	0.149390i
$751$		−	17.8189i		−	0.650222i	−0.945676	−	0.325111i	$-0.894598\pi$
$751$		−	17.8189i		−	0.650222i	0.945676	−	0.325111i	$-0.105402\pi$
$752$	42.2869	−	20.5459i	1.54205	−	0.749231i
$753$	−15.6963	−	5.26398i	−0.572006	−	0.191830i
$754$	−20.4564	−	13.8092i	−0.744977	−	0.502902i
$755$	−20.7765	+	40.1789i	−0.756134	+	1.46226i
$756$	−7.64669	+	6.04726i	−0.278108	+	0.219937i
$757$	−39.6799			−1.44219			−0.721096	−	0.692835i	$-0.756361\pi$
$757$	−39.6799			−1.44219			−0.721096	+	0.692835i	$0.756361\pi$
$758$	−4.31182	−	11.8605i	−0.156612	−	0.430794i
$759$	0.105581		0.000994326i	0.00383236		3.60917e-5i
$760$	1.79088	−	2.17961i	0.0649619	−	0.0790627i
$761$	3.05751	−	4.20830i	0.110835	−	0.152551i	−0.749996	−	0.661442i	$-0.769945\pi$
$761$	3.05751	−	4.20830i	0.110835	−	0.152551i	0.860831	+	0.508892i	$0.169945\pi$
$762$	−30.1961	+	23.1191i	−1.09389	+	0.837517i
$763$	−3.70141	−	5.09455i	−0.134000	−	0.184435i
$764$	−20.8795	+	17.4932i	−0.755393	+	0.632881i
$765$	−5.92333	+	0.787961i	−0.214158	+	0.0284888i
$766$	−3.69127	−	1.05996i	−0.133371	−	0.0382980i
$767$	−43.2035	−	14.0377i	−1.55999	−	0.506871i
$768$	1.31139	−	27.6818i	0.0473205	−	0.998880i
$769$	−8.60444	+	26.4817i	−0.310284	+	0.954956i	0.667369	+	0.744728i	$0.267421\pi$
$769$	−8.60444	+	26.4817i	−0.310284	+	0.954956i	−0.977652	+	0.210228i	$0.932579\pi$
$770$	0.0256618	−	0.0140116i	0.000924787	−	0.000504942i
$771$	9.43154	−	28.1233i	0.339669	−	1.01284i
$772$	1.56095	+	22.5669i	0.0561797	+	0.812202i
$773$	13.0838	−	18.0083i	0.470590	−	0.647712i	−0.506072	−	0.862491i	$-0.668903\pi$
$773$	13.0838	−	18.0083i	0.470590	−	0.647712i	0.976663	+	0.214779i	$0.0689032\pi$
$774$	21.2276	−	30.2030i	0.763011	−	1.08562i
$775$	−6.29387	−	20.1911i	−0.226083	−	0.725285i
$776$	36.0823	−	16.0160i	1.29528	−	0.574942i
$777$	−0.603628	−	1.91908i	−0.0216550	−	0.0688468i
$778$	24.9496	+	16.8424i	0.894487	+	0.603830i
$779$	−4.06404	+	1.32049i	−0.145609	+	0.0473113i
$780$	2.95610	−	28.4782i	0.105845	−	1.01968i
$781$	−0.0184374	−	0.00599067i	−0.000659742	−	0.000214363i
$782$	4.79469	+	6.14169i	0.171458	+	0.219626i
$783$	−19.4331	−	14.9757i	−0.694484	−	0.535186i
$784$	−24.2468	+	3.37041i	−0.865958	+	0.120372i
$785$	−32.8557	−	16.9897i	−1.17267	−	0.606388i
$786$	16.3151	−	23.6845i	0.581942	−	0.844797i
$787$	13.6070	+	18.7285i	0.485039	+	0.667599i	0.979463	−	0.201622i	$-0.0646212\pi$
$787$	13.6070	+	18.7285i	0.485039	+	0.667599i	−0.494425	+	0.869220i	$0.664621\pi$
$788$	13.1967	−	5.32023i	0.470112	−	0.189525i
$789$	−52.6088	+	16.5476i	−1.87292	+	0.589109i
$790$	−15.5243	−	2.00663i	−0.552330	−	0.0713926i
$791$	−9.07479	+	6.59322i	−0.322662	+	0.234428i
$792$	−0.0770646	+	0.0324838i	−0.00273837	+	0.00115426i
$793$			23.7988i			0.845119i
$794$	−3.99082	−	10.9776i	−0.141629	−	0.389579i
$795$	2.21723	−	4.19061i	0.0786369	−	0.148626i
$796$	1.88271	+	27.2188i	0.0667309	+	0.964743i
$797$	10.4151	−	3.38406i	0.368921	−	0.119870i	−0.118689	−	0.992932i	$-0.537869\pi$
$797$	10.4151	−	3.38406i	0.368921	−	0.119870i	0.487609	+	0.873062i	$0.337869\pi$
$798$	−0.844043	−	0.581422i	−0.0298788	−	0.0205821i
$799$		−	10.4697i		−	0.370393i
$800$	−20.0715	−	19.9283i	−0.709634	−	0.704571i
$801$	−3.74203	+	1.13840i	−0.132218	+	0.0402235i
$802$	−0.0401405	−	1.16203i	−0.00141741	−	0.0410325i
$803$	0.0297169	+	0.0914592i	0.00104869	+	0.00322753i
$804$	−7.69751	+	12.0442i	−0.271470	+	0.424768i
$805$	11.5950	−	5.82066i	0.408670	−	0.205151i
$806$	20.7802	−	7.55450i	0.731951	−	0.266096i
$807$	10.7632	+	7.97587i	0.378883	+	0.280764i
$808$	−3.39525	+	0.352975i	−0.119444	+	0.0124176i
$809$	0.781903	+	1.07620i	0.0274903	+	0.0378371i	0.822541	−	0.568706i	$-0.192556\pi$
$809$	0.781903	+	1.07620i	0.0274903	+	0.0378371i	−0.795051	+	0.606543i	$0.792556\pi$
$810$	4.70878	−	28.0683i	0.165450	−	0.986218i
$811$	−13.4202	−	9.75031i	−0.471245	−	0.342380i	0.326681	−	0.945135i	$-0.394070\pi$
$811$	−13.4202	−	9.75031i	−0.471245	−	0.342380i	−0.797926	+	0.602755i	$0.794070\pi$
$812$	3.31227	+	8.21597i	0.116238	+	0.288324i
$813$	0.321814	−	34.1714i	0.0112865	−	1.19844i
$814$	−0.000595799	−	0.0172478i	−2.08827e−5	−	0.000604534i
$815$	−2.84201	−	18.6673i	−0.0995513	−	0.653888i
$816$	−5.41711	−	2.95669i	−0.189637	−	0.103505i
$817$	3.69115	+	1.19933i	0.129137	+	0.0419591i
$818$	−35.3453	+	27.5933i	−1.23582	+	0.964777i
$819$	−10.4004	−	0.195913i	−0.363421	−	0.00684574i
$820$	9.35601	+	41.8106i	0.326726	+	1.46009i
$821$	2.00685	+	6.17645i	0.0700396	+	0.215560i	0.979949	−	0.199246i	$-0.0638494\pi$
$821$	2.00685	+	6.17645i	0.0700396	+	0.215560i	−0.909910	+	0.414806i	$0.863849\pi$
$822$	12.3676	+	35.0439i	0.431370	+	1.22230i
$823$	−22.0365	−	16.0105i	−0.768144	−	0.558089i	0.133253	−	0.991082i	$-0.457458\pi$
$823$	−22.0365	−	16.0105i	−0.768144	−	0.558089i	−0.901397	+	0.432993i	$0.857458\pi$
$824$	−4.11199	−	9.26385i	−0.143248	−	0.322722i
$825$	−0.0281079	+	0.0805948i	−0.000978591	+	0.00280595i
$826$	10.0332	+	12.8519i	0.349101	+	0.447176i
$827$	16.2179	+	11.7830i	0.563953	+	0.409736i	0.832904	−	0.553418i	$-0.186677\pi$
$827$	16.2179	+	11.7830i	0.563953	+	0.409736i	−0.268950	+	0.963154i	$0.586677\pi$
$828$	−34.6738	+	13.2252i	−1.20500	+	0.459607i
$829$	27.6313	−	8.97794i	0.959673	−	0.311817i	0.213033	−	0.977045i	$-0.431666\pi$
$829$	27.6313	−	8.97794i	0.959673	−	0.311817i	0.746640	+	0.665228i	$0.231666\pi$
$830$	20.6214	−	21.8332i	0.715779	−	0.757841i
$831$	22.7339	−	16.1922i	0.788630	−	0.561703i
$832$	19.8359	−	21.9301i	0.687687	−	0.760290i
$833$	−1.68462	+	5.18472i	−0.0583686	+	0.179640i
$834$	1.38447	−	1.06000i	0.0479404	−	0.0367047i
$835$	17.9709	+	18.1876i	0.621908	+	0.629409i
$836$	−0.00564649	−	0.00673953i	−0.000195288	−	0.000233092i
$837$	21.0868	−	6.19869i	0.728865	−	0.214258i
$838$	7.14910	+	2.05289i	0.246962	+	0.0709158i
$839$	−41.2832	−	29.9940i	−1.42526	−	1.03551i	−0.990876	−	0.134779i	$-0.956968\pi$
$839$	−41.2832	−	29.9940i	−1.42526	−	1.03551i	−0.434380	−	0.900730i	$-0.643032\pi$
$840$	−6.59827	+	7.87808i	−0.227662	+	0.271820i
$841$	5.42589	−	3.94214i	0.187100	−	0.135936i
$842$	13.4406	−	4.88626i	0.463195	−	0.168392i
$843$	17.3578	−	23.4239i	0.597835	−	0.806761i
$844$	17.2916	+	10.8231i	0.595202	+	0.372547i
$845$	1.05360	−	1.04105i	0.0362450	−	0.0358131i
$846$	47.6613	+	14.6632i	1.63863	+	0.504131i
$847$	3.18871	+	9.81385i	0.109565	+	0.337208i
$848$	4.40418	−	2.13985i	0.151240	−	0.0734829i
$849$	−18.8098	+	25.3833i	−0.645550	+	0.871151i
$850$	−5.94506	+	2.08094i	−0.203914	+	0.0713756i
$851$		−	7.65808i		−	0.262515i
$852$	6.80157	−	0.406143i	0.233018	−	0.0139142i
$853$	−2.18339	−	6.71978i	−0.0747578	−	0.230081i	0.906694	−	0.421788i	$-0.138597\pi$
$853$	−2.18339	−	6.71978i	−0.0747578	−	0.230081i	−0.981452	+	0.191708i	$0.938597\pi$
$854$	4.77919	−	7.07969i	0.163541	−	0.242262i
$855$	2.96597	−	0.394554i	0.101434	−	0.0134935i
$856$	37.6054	−	3.90952i	1.28533	−	0.133625i
$857$	10.1626			0.347147			0.173573	−	0.984821i	$-0.444469\pi$
$857$	10.1626			0.347147			0.173573	+	0.984821i	$0.444469\pi$
$858$	−0.0855342	−	0.0254357i	−0.00292009	−	0.000868362i
$859$	−29.6370	+	21.5325i	−1.01120	+	0.734680i	−0.964460	−	0.264227i	$-0.914883\pi$
$859$	−29.6370	+	21.5325i	−1.01120	+	0.734680i	−0.0467395	+	0.998907i	$0.514883\pi$
$860$	15.4461	−	35.7166i	0.526707	−	1.21793i
$861$	14.8491	−	4.67063i	0.506056	−	0.159175i
$862$	0.735662	−	2.56191i	0.0250567	−	0.0872592i
$863$	8.96712	+	12.3422i	0.305244	+	0.420133i	0.933891	−	0.357558i	$-0.116391\pi$
$863$	8.96712	+	12.3422i	0.305244	+	0.420133i	−0.628646	+	0.777691i	$0.716391\pi$
$864$	21.0465	−	20.5193i	0.716018	−	0.698082i
$865$	−46.3150	+	23.2500i	−1.57476	+	0.790525i
$866$	−2.54041	−	0.729487i	−0.0863266	−	0.0247890i
$867$	22.8639	−	16.2848i	0.776499	−	0.553062i
$868$	−7.69879	−	1.92569i	−0.261314	−	0.0653620i
$869$	−0.0150763	+	0.0464000i	−0.000511427	+	0.00157401i
$870$	−23.2627	−	11.2981i	−0.788678	−	0.383040i
$871$	−14.5054	+	4.71309i	−0.491497	+	0.159697i
$872$	12.6886	+	14.1242i	0.429691	+	0.478306i
$873$	39.5717	+	13.6868i	1.33930	+	0.463228i
$874$	−2.40083	−	3.07531i	−0.0812094	−	0.104024i
$875$	1.45416	+	10.3869i	0.0491596	+	0.351140i
$876$	−21.4614	−	26.1116i	−0.725115	−	0.882228i
$877$	−1.02315	−	0.743361i	−0.0345493	−	0.0251015i	0.570377	−	0.821383i	$-0.306797\pi$
$877$	−1.02315	−	0.743361i	−0.0345493	−	0.0251015i	−0.604926	+	0.796282i	$0.706797\pi$
$878$	3.59002	−	5.31811i	0.121157	−	0.179477i
$879$	40.9961	+	13.7486i	1.38276	+	0.463728i
$880$	−0.0725895	+	0.0500204i	−0.00244699	+	0.00168619i
$881$	−29.9684	−	9.73733i	−1.00966	−	0.328059i	−0.242942	−	0.970041i	$-0.578112\pi$
$881$	−29.9684	−	9.73733i	−1.00966	−	0.328059i	−0.766720	+	0.641982i	$0.778112\pi$
$882$	−21.2430	−	14.9302i	−0.715289	−	0.502727i
$883$	23.7984	+	7.73257i	0.800880	+	0.260222i	0.680730	−	0.732534i	$-0.261663\pi$
$883$	23.7984	+	7.73257i	0.800880	+	0.260222i	0.120150	+	0.992756i	$0.461663\pi$
$884$	−2.46222	−	6.10745i	−0.0828133	−	0.205416i
$885$	−46.8923	−	8.16971i	−1.57627	−	0.274622i
$886$	50.5204	−	1.74515i	1.69727	−	0.0586295i
$887$	7.13341	+	9.81829i	0.239516	+	0.329666i	0.911805	−	0.410623i	$-0.134689\pi$
$887$	7.13341	+	9.81829i	0.239516	+	0.329666i	−0.672289	+	0.740289i	$0.734689\pi$
$888$	2.40856	+	5.56701i	0.0808260	+	0.186817i
$889$	11.7830	+	8.56083i	0.395188	+	0.287121i
$890$	−3.61866	+	1.97582i	−0.121298	+	0.0662297i
$891$	−0.0832705	−	0.0305688i	−0.00278967	−	0.00102409i
$892$	14.4276	+	9.03049i	0.483072	+	0.302363i
$893$			5.24249i			0.175433i
$894$	−3.82991	+	12.8791i	−0.128091	+	0.430740i
$895$	−10.2608	−	1.68827i	−0.342981	−	0.0564325i
$896$	−10.3047	+	2.54041i	−0.344257	+	0.0848692i
$897$	−37.5426	−	12.5904i	−1.25351	−	0.420382i
$898$	1.26643	+	36.6618i	0.0422612	+	1.22342i
$899$		−	19.9716i		−	0.666089i
$900$	−1.14679	−	29.9781i	−0.0382264	−	0.999269i
$901$		−	1.09042i		−	0.0363273i
$902$	0.133456	−	0.00461005i	0.00444360	−	0.000153498i
$903$	−13.4044	−	4.49533i	−0.446069	−	0.149595i
$904$	25.1591	−	22.6019i	0.836779	−	0.751728i
$905$	22.5942	+	22.8667i	0.751057	+	0.760116i
$906$	−47.4945	−	14.1237i	−1.57790	−	0.469228i
$907$			20.6127i			0.684435i	0.939621	+	0.342217i	$0.111178\pi$
$907$			20.6127i			0.684435i	−0.939621	+	0.342217i	$0.888822\pi$
$908$	31.0025	+	19.4050i	1.02885	+	0.643978i
$909$	−2.88854	−	2.18293i	−0.0958068	−	0.0724033i
$910$	−10.7766	+	2.02360i	−0.357242	+	0.0670815i
$911$	8.35047	+	6.06697i	0.276663	+	0.201008i	0.717461	−	0.696599i	$-0.245304\pi$
$911$	8.35047	+	6.06697i	0.276663	+	0.201008i	−0.440797	+	0.897607i	$0.645304\pi$
$912$	2.71250	+	1.48050i	0.0898198	+	0.0490241i
$913$	−0.0550182	−	0.0757261i	−0.00182084	−	0.00250617i
$914$	1.47511	+	42.7029i	0.0487923	+	1.41249i
$915$	3.52090	+	24.6868i	0.116397	+	0.816119i
$916$	−16.3960	+	6.61006i	−0.541740	+	0.218403i
$917$	−10.4752	−	3.40361i	−0.345923	−	0.112397i
$918$	−2.06182	−	6.21264i	−0.0680501	−	0.205048i
$919$	55.1446	+	17.9176i	1.81905	+	0.591046i	0.999846	+	0.0175488i	$0.00558623\pi$
$919$	55.1446	+	17.9176i	1.81905	+	0.591046i	0.819207	+	0.573497i	$0.194414\pi$
$920$	−32.9579	+	21.0708i	−1.08659	+	0.694683i
$921$	−1.70940	−	0.573270i	−0.0563266	−	0.0188899i
$922$	−13.8591	−	9.35571i	−0.456427	−	0.308114i
$923$	5.88183	+	4.27340i	0.193603	+	0.140661i
$924$	0.0203369	+	0.0247433i	0.000669035	+	0.000813996i
$925$	5.86442	+	1.98351i	0.192821	+	0.0652173i
$926$	35.8423	−	27.9813i	1.17785	−	0.919523i
$927$	3.51398	−	10.1597i	0.115414	−	0.333690i
$928$	−12.4948	−	23.6064i	−0.410161	−	0.774919i
$929$	22.6470	−	7.35845i	0.743023	−	0.241423i	0.0870466	−	0.996204i	$-0.472257\pi$
$929$	22.6470	−	7.35845i	0.743023	−	0.241423i	0.655976	+	0.754781i	$0.272257\pi$
$930$	20.4379	−	10.9107i	0.670185	−	0.357776i
$931$	0.843535	−	2.59613i	0.0276457	−	0.0850849i
$932$	−12.1525	+	48.5850i	−0.398068	+	1.59146i
$933$	−39.0252	+	27.7958i	−1.27763	+	0.909992i
$934$	8.27819	−	28.8285i	0.270871	−	0.943296i
$935$	0.00295476	+	0.0194079i	9.66311e−5	+	0.000634707i
$936$	31.2513	−	2.65505i	1.02148	−	0.0867832i
$937$	−0.0242063	−	0.0333171i	−0.000790784	−	0.00108842i	0.808621	−	0.588329i	$-0.200214\pi$
$937$	−0.0242063	−	0.0333171i	−0.000790784	−	0.00108842i	−0.809412	+	0.587241i	$0.800214\pi$
$938$	5.26155	+	1.51087i	0.171796	+	0.0493317i
$939$	−54.6444	+	17.1878i	−1.78325	+	0.560903i
$940$	52.3311	+	4.93444i	1.70685	+	0.160944i
$941$	−11.4015	+	8.28370i	−0.371679	+	0.270041i	−0.757907	−	0.652363i	$-0.773778\pi$
$941$	−11.4015	+	8.28370i	−0.371679	+	0.270041i	0.386228	+	0.922403i	$0.373778\pi$
$942$	11.5494	−	38.8380i	0.376301	−	1.26541i
$943$	59.2550			1.92961
$944$	−34.0958	−	35.4139i	−1.10973	−	1.15263i
$945$	−10.8175	+	1.33547i	−0.351893	+	0.0434428i
$946$	−0.100523	−	0.0678587i	−0.00326828	−	0.00220628i
$947$	−4.48203	−	13.7943i	−0.145646	−	0.448253i	0.851447	−	0.524440i	$-0.175725\pi$
$947$	−4.48203	−	13.7943i	−0.145646	−	0.448253i	−0.997094	+	0.0761871i	$0.975725\pi$
$948$	−1.02211	−	17.1170i	−0.0331965	−	0.555934i
$949$		−	36.0648i		−	1.17071i
$950$	2.97686	−	1.04198i	0.0965820	−	0.0338064i
$951$	−35.5542	+	47.9794i	−1.15292	+	1.55584i
$952$	−0.494014	+	2.31131i	−0.0160111	+	0.0749098i
$953$	−3.04148	−	9.36073i	−0.0985233	−	0.303224i	0.889633	−	0.456677i	$-0.150961\pi$
$953$	−3.04148	−	9.36073i	−0.0985233	−	0.303224i	−0.988156	+	0.153453i	$0.950961\pi$
$954$	4.96392	+	1.52717i	0.160713	+	0.0494440i
$955$	−30.1072	+	4.58368i	−0.974247	+	0.148324i
$956$	−20.6975	−	12.9549i	−0.669404	−	0.418991i
$957$	−0.0479889	+	0.0647597i	−0.00155126	+	0.00209339i
$958$	−11.1552	−	30.6846i	−0.360408	−	0.991376i
$959$	11.5140	−	8.36545i	0.371808	−	0.270134i
$960$	17.3316	−	25.6830i	0.559375	−	0.828915i
$961$	−10.6048	−	7.70487i	−0.342092	−	0.248544i
$962$	−1.78633	+	6.22083i	−0.0575937	+	0.200568i
$963$	31.9931	+	24.1779i	1.03096	+	0.779123i
$964$	18.9516	−	15.8780i	0.610390	−	0.511395i
$965$	−11.6167	+	22.4651i	−0.373955	+	0.723178i
$966$	8.63985	+	11.2846i	0.277983	+	0.363076i
$967$	16.8860	−	51.9697i	0.543017	−	1.67123i	−0.182642	−	0.983179i	$-0.558465\pi$
$967$	16.8860	−	51.9697i	0.543017	−	1.67123i	0.725659	−	0.688055i	$-0.241535\pi$
$968$	−12.6224	−	28.4369i	−0.405700	−	0.913997i
$969$	0.560530	−	0.399239i	0.0180068	−	0.0128254i
$970$	43.7726	+	5.65793i	1.40545	+	0.181665i
$971$	4.95886	−	1.61123i	0.159137	−	0.0517069i	−0.228365	−	0.973576i	$-0.573338\pi$
$971$	4.95886	−	1.61123i	0.159137	−	0.0517069i	0.387502	+	0.921869i	$0.373338\pi$
$972$	31.1694	−	0.684990i	0.999759	−	0.0219710i
$973$	−0.540242	−	0.392509i	−0.0173194	−	0.0125833i
$974$	−37.3692	+	29.1734i	−1.19739	+	0.934775i
$975$	19.3654	−	25.4885i	0.620189	−	0.816284i
$976$	−12.1252	+	22.7215i	−0.388118	+	0.727298i
$977$	12.9303	+	9.39439i	0.413676	+	0.300553i	0.775088	−	0.631853i	$-0.217705\pi$
$977$	12.9303	+	9.39439i	0.413676	+	0.300553i	−0.361412	+	0.932406i	$0.617705\pi$
$978$	19.5056	−	6.88387i	0.623720	−	0.220122i
$979$	0.00397091	+	0.0122212i	0.000126911	+	0.000390591i
$980$	−25.1209	−	10.8639i	−0.802459	−	0.347033i
$981$	−0.379279	+	20.1348i	−0.0121094	+	0.642856i
$982$	11.6196	+	14.8840i	0.370798	+	0.474968i
$983$	0.444498	+	0.144426i	0.0141773	+	0.00460648i	0.316097	−	0.948727i	$-0.397627\pi$
$983$	0.444498	+	0.144426i	0.0141773	+	0.00460648i	−0.301920	+	0.953333i	$0.597627\pi$
$984$	−43.0752	+	18.6364i	−1.37319	+	0.594108i
$985$	15.6971	+	2.58273i	0.500153	+	0.0822928i
$986$	−5.94444	+	0.205342i	−0.189310	+	0.00653942i
$987$	0.179843	−	19.0965i	0.00572448	−	0.607847i
$988$	1.23290	+	3.05817i	0.0392238	+	0.0972933i
$989$	−43.5399	−	31.6336i	−1.38449	−	1.00589i
$990$	−0.0924887	−	0.0137305i	−0.00293949	−	0.000436383i
$991$	2.47893	+	3.41195i	0.0787458	+	0.108384i	0.846573	−	0.532273i	$-0.178662\pi$
$991$	2.47893	+	3.41195i	0.0787458	+	0.108384i	−0.767827	+	0.640657i	$0.778662\pi$
$992$	23.6885	+	3.37472i	0.752111	+	0.107148i
$993$	33.7039	+	24.9757i	1.06956	+	0.792578i
$994$	−0.891564	−	2.45243i	−0.0282787	−	0.0777863i
$995$	−14.0113	+	27.0959i	−0.444188	+	0.858999i
$996$	27.7208	+	17.7164i	0.878368	+	0.561367i
$997$	7.04907	+	21.6948i	0.223246	+	0.687081i	0.998465	+	0.0553883i	$0.0176397\pi$
$997$	7.04907	+	21.6948i	0.223246	+	0.687081i	−0.775219	+	0.631693i	$0.782360\pi$
$998$	13.6150	−	0.470311i	0.430976	−	0.0148874i
$999$	−2.16016	+	6.06016i	−0.0683444	+	0.191735i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	600.2.bk.a.59.2	✓	464
3.2	odd	2	inner	600.2.bk.a.59.115	yes	464
8.3	odd	2	inner	600.2.bk.a.59.49	yes	464
24.11	even	2	inner	600.2.bk.a.59.68	yes	464
25.14	even	10	inner	600.2.bk.a.539.68	yes	464
75.14	odd	10	inner	600.2.bk.a.539.49	yes	464
200.139	odd	10	inner	600.2.bk.a.539.115	yes	464
600.539	even	10	inner	600.2.bk.a.539.2	yes	464

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
600.2.bk.a.59.2	✓	464	1.1	even	1	trivial
600.2.bk.a.59.49	yes	464	8.3	odd	2	inner
600.2.bk.a.59.68	yes	464	24.11	even	2	inner
600.2.bk.a.59.115	yes	464	3.2	odd	2	inner
600.2.bk.a.539.2	yes	464	600.539	even	10	inner
600.2.bk.a.539.49	yes	464	75.14	odd	10	inner
600.2.bk.a.539.68	yes	464	25.14	even	10	inner
600.2.bk.a.539.115	yes	464	200.139	odd	10	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:	\( N \)	\(=\)	\( 600 = 2^{3} \cdot 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	600.bk (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.41337 + 0.0488228i) q^{2} +(0.550722 - 1.64216i) q^{3} +(1.99523 - 0.138009i) q^{4} +(1.98623 + 1.02708i) q^{5} +(-0.698199 + 2.34788i) q^{6} +0.938089 q^{7} +(-2.81327 + 0.292471i) q^{8} +(-2.39341 - 1.80875i) q^{9} +O(q^{10})\)	\(q+(-1.41337 + 0.0488228i) q^{2} +(0.550722 - 1.64216i) q^{3} +(1.99523 - 0.138009i) q^{4} +(1.98623 + 1.02708i) q^{5} +(-0.698199 + 2.34788i) q^{6} +0.938089 q^{7} +(-2.81327 + 0.292471i) q^{8} +(-2.39341 - 1.80875i) q^{9} +(-2.85742 - 1.35467i) q^{10} +(-0.00579322 + 0.00797368i) q^{11} +(0.872185 - 3.35251i) q^{12} +(2.99034 - 2.17261i) q^{13} +(-1.32587 + 0.0458001i) q^{14} +(2.78049 - 2.69608i) q^{15} +(3.96191 - 0.550722i) q^{16} +(0.275265 - 0.847178i) q^{17} +(3.47108 + 2.43959i) q^{18} +(-0.137833 + 0.424206i) q^{19} +(4.10474 + 1.77514i) q^{20} +(0.516627 - 1.54050i) q^{21} +(0.00779867 - 0.0115526i) q^{22} +(3.63549 - 5.00382i) q^{23} +(-1.06904 + 4.78092i) q^{24} +(2.89022 + 4.08003i) q^{25} +(-4.12039 + 3.21670i) q^{26} +(-4.28837 + 2.93425i) q^{27} +(1.87171 - 0.129465i) q^{28} +(1.45905 + 4.49048i) q^{29} +(-3.79824 + 3.94631i) q^{30} +(-4.02283 - 1.30710i) q^{31} +(-5.57275 + 0.971806i) q^{32} +(0.00990365 + 0.0139047i) q^{33} +(-0.347690 + 1.21082i) q^{34} +(1.86326 + 0.963491i) q^{35} +(-5.02504 - 3.27857i) q^{36} +(1.00169 - 0.727770i) q^{37} +(0.174098 - 0.606289i) q^{38} +(-1.92094 - 6.10714i) q^{39} +(-5.88818 - 2.30853i) q^{40} +(5.63119 + 7.75066i) q^{41} +(-0.654973 + 2.20252i) q^{42} -8.70132i q^{43} +(-0.0104584 + 0.0167089i) q^{44} +(-2.89613 - 6.05082i) q^{45} +(-4.89399 + 7.24975i) q^{46} +(11.1782 - 3.63203i) q^{47} +(1.27753 - 6.80940i) q^{48} -6.11999 q^{49} +(-4.28415 - 5.62548i) q^{50} +(-1.23961 - 0.918590i) q^{51} +(5.66659 - 4.74756i) q^{52} +(1.16421 - 0.378276i) q^{53} +(5.91780 - 4.35656i) q^{54} +(-0.0196963 + 0.00988748i) q^{55} +(-2.63909 + 0.274364i) q^{56} +(0.620708 + 0.459964i) q^{57} +(-2.28141 - 6.27548i) q^{58} +(-7.22383 - 9.94275i) q^{59} +(5.17565 - 5.76304i) q^{60} +(-3.78451 + 5.20893i) q^{61} +(5.74957 + 1.65101i) q^{62} +(-2.24523 - 1.69677i) q^{63} +(7.82892 - 1.64560i) q^{64} +(8.17095 - 1.24399i) q^{65} +(-0.0146764 - 0.0191690i) q^{66} +(-3.92434 - 1.27509i) q^{67} +(0.432299 - 1.72831i) q^{68} +(-6.21495 - 8.72579i) q^{69} +(-2.68052 - 1.27080i) q^{70} +(0.607819 + 1.87067i) q^{71} +(7.26231 + 4.38850i) q^{72} +(5.73507 - 7.89364i) q^{73} +(-1.38023 + 1.07751i) q^{74} +(8.29179 - 2.49925i) q^{75} +(-0.216464 + 0.865411i) q^{76} +(-0.00543456 + 0.00748003i) q^{77} +(3.01317 + 8.53787i) q^{78} +(4.70778 - 1.52965i) q^{79} +(8.43489 + 2.97533i) q^{80} +(2.45682 + 8.65818i) q^{81} +(-8.33736 - 10.6796i) q^{82} +(-2.93473 + 9.03218i) q^{83} +(0.818187 - 3.14495i) q^{84} +(1.41686 - 1.39997i) q^{85} +(0.424823 + 12.2982i) q^{86} +(8.17764 + 0.0770140i) q^{87} +(0.0139658 - 0.0241264i) q^{88} +(0.766346 - 1.05478i) q^{89} +(4.38872 + 8.41065i) q^{90} +(2.80521 - 2.03810i) q^{91} +(6.56307 - 10.4855i) q^{92} +(-4.36193 + 5.88631i) q^{93} +(-15.6217 + 5.67916i) q^{94} +(-0.709460 + 0.701005i) q^{95} +(-1.47317 + 9.68658i) q^{96} +(-13.2742 + 4.31304i) q^{97} +(8.64981 - 0.298795i) q^{98} +(0.0282880 - 0.00860579i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9	\( 464 q - 10 q^{3} - 6 q^{4} + q^{6} - 6 q^{9} - 16 q^{10} - 5 q^{12} - 18 q^{16} - 12 q^{19} - 10 q^{22} + 12 q^{24} - 16 q^{25} - 10 q^{27} - 50 q^{28} - 21 q^{30} - 10 q^{33} - 14 q^{34} - 25 q^{36} - 32 q^{40} + 15 q^{42} - 34 q^{46} - 70 q^{48} + 336 q^{49} - 4 q^{51} - 60 q^{52} + 40 q^{54} - 70 q^{58} - 50 q^{60} - 30 q^{64} + 28 q^{66} - 20 q^{67} - 16 q^{70} - 5 q^{72} - 20 q^{73} - 42 q^{75} - 48 q^{76} + 75 q^{78} - 6 q^{81} - 76 q^{84} - 70 q^{88} + 66 q^{90} - 96 q^{91} - 108 q^{94} - 50 q^{96} - 60 q^{97} - 52 q^{99}+O(q^{100}) \) 464 * q - 10 * q^3 - 6 * q^4 + q^6 - 6 * q^9 - 16 * q^10 - 5 * q^12 - 18 * q^16 - 12 * q^19 - 10 * q^22 + 12 * q^24 - 16 * q^25 - 10 * q^27 - 50 * q^28 - 21 * q^30 - 10 * q^33 - 14 * q^34 - 25 * q^36 - 32 * q^40 + 15 * q^42 - 34 * q^46 - 70 * q^48 + 336 * q^49 - 4 * q^51 - 60 * q^52 + 40 * q^54 - 70 * q^58 - 50 * q^60 - 30 * q^64 + 28 * q^66 - 20 * q^67 - 16 * q^70 - 5 * q^72 - 20 * q^73 - 42 * q^75 - 48 * q^76 + 75 * q^78 - 6 * q^81 - 76 * q^84 - 70 * q^88 + 66 * q^90 - 96 * q^91 - 108 * q^94 - 50 * q^96 - 60 * q^97 - 52 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

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Database

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