LMFDB - Embedded newform 310.2.s.a.263.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [310,2,Mod(23,310)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(310, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([15, 18]))

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

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

chi := DirichletCharacter("310.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 310 = 2 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	310.s (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.47536246266$
Analytic rank:	$0$
Dimension:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			263.6
Character	$\chi$	$=$	310.263
Dual form			310.2.s.a.277.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 + 0.987688i) q^{2} +(0.648899 - 0.102776i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.87383 + 1.22015i) q^{5} +0.656988i q^{6} +(0.676049 + 1.32682i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-2.44266 + 0.793669i) q^{9} +O(q^{10})$	\(q+(-0.156434 + 0.987688i) q^{2} +(0.648899 - 0.102776i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.87383 + 1.22015i) q^{5} +0.656988i q^{6} +(0.676049 + 1.32682i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-2.44266 + 0.793669i) q^{9} +(-1.49826 + 1.65989i) q^{10} +(1.63188 + 0.530231i) q^{11} +(-0.648899 - 0.102776i) q^{12} +(1.59291 - 0.252292i) q^{13} +(-1.41624 + 0.460165i) q^{14} +(1.34133 + 0.599168i) q^{15} +(0.809017 + 0.587785i) q^{16} +(0.365656 - 0.717641i) q^{17} +(-0.401781 - 2.53675i) q^{18} +(1.81540 + 2.49869i) q^{19} +(-1.40507 - 1.73947i) q^{20} +(0.575052 + 0.791491i) q^{21} +(-0.778986 + 1.52885i) q^{22} +(-1.21877 - 0.620993i) q^{23} +(0.203020 - 0.624833i) q^{24} +(2.02248 + 4.57270i) q^{25} +1.61276i q^{26} +(-3.25961 + 1.66086i) q^{27} +(-0.232950 - 1.47079i) q^{28} +(-3.25244 + 2.36304i) q^{29} +(-0.801621 + 1.23108i) q^{30} +(4.85430 - 2.72687i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(1.11342 + 0.176349i) q^{33} +(0.651604 + 0.473418i) q^{34} +(-0.352114 + 3.31111i) q^{35} +2.56837 q^{36} +(-5.96824 - 5.96824i) q^{37} +(-2.75192 + 1.40217i) q^{38} +(1.00771 - 0.327424i) q^{39} +(1.93786 - 1.11566i) q^{40} +(-0.954273 + 0.693320i) q^{41} +(-0.871705 + 0.444156i) q^{42} +(0.876443 - 5.53364i) q^{43} +(-1.38816 - 1.00856i) q^{44} +(-5.54553 - 1.49320i) q^{45} +(0.804005 - 1.10662i) q^{46} +(2.74007 - 0.433984i) q^{47} +(0.585380 + 0.298266i) q^{48} +(2.81109 - 3.86913i) q^{49} +(-4.83279 + 1.28226i) q^{50} +(0.163518 - 0.503257i) q^{51} +(-1.59291 - 0.252292i) q^{52} +(-8.48867 - 4.32519i) q^{53} +(-1.13049 - 3.47930i) q^{54} +(2.41091 + 2.98470i) q^{55} +1.48912 q^{56} +(1.43482 + 1.43482i) q^{57} +(-1.82515 - 3.58206i) q^{58} +(6.98344 - 9.61188i) q^{59} +(-1.09053 - 0.984336i) q^{60} -1.10919i q^{61} +(1.93391 + 5.22111i) q^{62} +(-2.70441 - 2.70441i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(3.29267 + 1.47083i) q^{65} +(-0.348355 + 1.07213i) q^{66} +(4.18986 - 4.18986i) q^{67} +(-0.569523 + 0.569523i) q^{68} +(-0.854680 - 0.277702i) q^{69} +(-3.21527 - 0.865751i) q^{70} +(4.59704 + 14.1482i) q^{71} +(-0.401781 + 2.53675i) q^{72} +(-4.25441 - 8.34976i) q^{73} +(6.82840 - 4.96113i) q^{74} +(1.78235 + 2.75936i) q^{75} +(-0.954414 - 2.93738i) q^{76} +(0.399711 + 2.52368i) q^{77} +(0.165753 + 1.04652i) q^{78} +(-0.984519 - 3.03004i) q^{79} +(0.798777 + 2.08853i) q^{80} +(4.28909 - 3.11621i) q^{81} +(-0.535503 - 1.05098i) q^{82} +(0.911482 - 5.75487i) q^{83} +(-0.302323 - 0.930454i) q^{84} +(1.56081 - 0.898583i) q^{85} +(5.32841 + 1.73130i) q^{86} +(-1.86765 + 1.86765i) q^{87} +(1.21330 - 1.21330i) q^{88} +(1.10084 - 3.38803i) q^{89} +(2.34233 - 5.24367i) q^{90} +(1.41163 + 1.94294i) q^{91} +(0.967219 + 0.967219i) q^{92} +(2.86969 - 2.26836i) q^{93} +2.77422i q^{94} +(0.352993 + 6.89718i) q^{95} +(-0.386168 + 0.531514i) q^{96} +(-3.17450 - 6.23030i) q^{97} +(3.38174 + 3.38174i) q^{98} -4.40697 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 12 q^{7}+O(q^{10}) $ 128 * q + 12 * q^7	$ 128 q + 12 q^{7} + 8 q^{10} + 32 q^{16} + 8 q^{20} - 80 q^{21} - 20 q^{22} - 20 q^{23} + 40 q^{25} + 8 q^{28} - 32 q^{31} + 20 q^{33} - 48 q^{35} - 128 q^{36} + 52 q^{38} + 8 q^{41} - 20 q^{42} + 64 q^{45} - 40 q^{46} - 20 q^{47} - 20 q^{48} + 24 q^{50} - 16 q^{51} - 40 q^{53} - 40 q^{55} + 20 q^{60} - 8 q^{62} + 256 q^{63} - 160 q^{65} + 56 q^{66} + 8 q^{67} - 32 q^{70} + 56 q^{71} - 80 q^{73} - 160 q^{75} + 48 q^{76} - 20 q^{77} + 4 q^{78} - 96 q^{81} + 16 q^{82} - 240 q^{83} + 120 q^{85} + 40 q^{87} - 64 q^{90} + 80 q^{91} - 160 q^{93} + 32 q^{95} - 56 q^{97} - 176 q^{98}+O(q^{100}) $ 128 * q + 12 * q^7 + 8 * q^10 + 32 * q^16 + 8 * q^20 - 80 * q^21 - 20 * q^22 - 20 * q^23 + 40 * q^25 + 8 * q^28 - 32 * q^31 + 20 * q^33 - 48 * q^35 - 128 * q^36 + 52 * q^38 + 8 * q^41 - 20 * q^42 + 64 * q^45 - 40 * q^46 - 20 * q^47 - 20 * q^48 + 24 * q^50 - 16 * q^51 - 40 * q^53 - 40 * q^55 + 20 * q^60 - 8 * q^62 + 256 * q^63 - 160 * q^65 + 56 * q^66 + 8 * q^67 - 32 * q^70 + 56 * q^71 - 80 * q^73 - 160 * q^75 + 48 * q^76 - 20 * q^77 + 4 * q^78 - 96 * q^81 + 16 * q^82 - 240 * q^83 + 120 * q^85 + 40 * q^87 - 64 * q^90 + 80 * q^91 - 160 * q^93 + 32 * q^95 - 56 * q^97 - 176 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/310\mathbb{Z}\right)^\times$.

$n$	$187$	$251$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{7}{10}\right)$

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 $

$2$	−0.156434	+	0.987688i	−0.110616	+	0.698401i
$2$	−0.156434	+	0.987688i	−0.110616	+	0.698401i
$3$	0.648899	−	0.102776i	0.374642	−	0.0593375i	0.0337258	−	0.999431i	$-0.489263\pi$
$3$	0.648899	−	0.102776i	0.374642	−	0.0593375i	0.340916	+	0.940094i	$0.389263\pi$
$4$	−0.951057	−	0.309017i	−0.475528	−	0.154508i
$5$	1.87383	+	1.22015i	0.838003	+	0.545666i
$5$	1.87383	+	1.22015i	0.838003	+	0.545666i
$6$			0.656988i			0.268214i
$7$	0.676049	+	1.32682i	0.255522	+	0.501491i	0.982758	−	0.184897i	$-0.0591952\pi$
$7$	0.676049	+	1.32682i	0.255522	+	0.501491i	−0.727236	+	0.686388i	$0.759195\pi$
$8$	0.453990	−	0.891007i	0.160510	−	0.315018i
$9$	−2.44266	+	0.793669i	−0.814221	+	0.264556i
$10$	−1.49826	+	1.65989i	−0.473790	+	0.524903i
$11$	1.63188	+	0.530231i	0.492031	+	0.159871i	0.544515	−	0.838751i	$-0.316714\pi$
$11$	1.63188	+	0.530231i	0.492031	+	0.159871i	−0.0524838	+	0.998622i	$0.516714\pi$
$12$	−0.648899	−	0.102776i	−0.187321	−	0.0296687i
$13$	1.59291	−	0.252292i	0.441793	−	0.0699732i	0.0684247	−	0.997656i	$-0.478203\pi$
$13$	1.59291	−	0.252292i	0.441793	−	0.0699732i	0.373368	+	0.927683i	$0.378203\pi$
$14$	−1.41624	+	0.460165i	−0.378507	+	0.122984i
$15$	1.34133	+	0.599168i	0.346330	+	0.154705i
$16$	0.809017	+	0.587785i	0.202254	+	0.146946i
$17$	0.365656	−	0.717641i	0.0886847	−	0.174053i	−0.842404	−	0.538847i	$-0.818860\pi$
$17$	0.365656	−	0.717641i	0.0886847	−	0.174053i	0.931089	+	0.364793i	$0.118860\pi$
$18$	−0.401781	−	2.53675i	−0.0947007	−	0.597917i
$19$	1.81540	+	2.49869i	0.416482	+	0.573238i	0.964784	−	0.263042i	$-0.0847257\pi$
$19$	1.81540	+	2.49869i	0.416482	+	0.573238i	−0.548302	+	0.836280i	$0.684726\pi$
$20$	−1.40507	−	1.73947i	−0.314184	−	0.388958i
$21$	0.575052	+	0.791491i	0.125487	+	0.172718i
$22$	−0.778986	+	1.52885i	−0.166080	+	0.325951i
$23$	−1.21877	−	0.620993i	−0.254131	−	0.129486i	0.322285	−	0.946643i	$-0.395549\pi$
$23$	−1.21877	−	0.620993i	−0.254131	−	0.129486i	−0.576416	+	0.817157i	$0.695549\pi$
$24$	0.203020	−	0.624833i	0.0414414	−	0.127543i
$25$	2.02248	+	4.57270i	0.404497	+	0.914539i
$26$			1.61276i			0.316289i
$27$	−3.25961	+	1.66086i	−0.627313	+	0.319632i
$28$	−0.232950	−	1.47079i	−0.0440235	−	0.277953i
$29$	−3.25244	+	2.36304i	−0.603964	+	0.438805i	−0.847284	−	0.531141i	$-0.821764\pi$
$29$	−3.25244	+	2.36304i	−0.603964	+	0.438805i	0.243320	+	0.969946i	$0.421764\pi$
$30$	−0.801621	+	1.23108i	−0.146355	+	0.224764i
$31$	4.85430	−	2.72687i	0.871857	−	0.489760i
$31$	4.85430	−	2.72687i	0.871857	−	0.489760i
$32$	−0.707107	+	0.707107i	−0.125000	+	0.125000i
$33$	1.11342	+	0.176349i	0.193822	+	0.0306984i
$34$	0.651604	+	0.473418i	0.111749	+	0.0811906i
$35$	−0.352114	+	3.31111i	−0.0595181	+	0.559681i
$36$	2.56837			0.428061
$37$	−5.96824	−	5.96824i	−0.981173	−	0.981173i	0.0186527	−	0.999826i	$-0.494062\pi$
$37$	−5.96824	−	5.96824i	−0.981173	−	0.981173i	−0.999826	+	0.0186527i	$0.994062\pi$
$38$	−2.75192	+	1.40217i	−0.446420	+	0.227462i
$39$	1.00771	−	0.327424i	0.161362	−	0.0524298i
$40$	1.93786	−	1.11566i	0.306403	−	0.176401i
$41$	−0.954273	+	0.693320i	−0.149032	+	0.108278i	−0.659803	−	0.751439i	$-0.729360\pi$
$41$	−0.954273	+	0.693320i	−0.149032	+	0.108278i	0.510770	+	0.859717i	$0.329360\pi$
$42$	−0.871705	+	0.444156i	−0.134507	+	0.0685347i
$43$	0.876443	−	5.53364i	0.133656	−	0.843873i	−0.826199	−	0.563378i	$-0.809501\pi$
$43$	0.876443	−	5.53364i	0.133656	−	0.843873i	0.959856	−	0.280495i	$-0.0904985\pi$
$44$	−1.38816	−	1.00856i	−0.209273	−	0.152046i
$45$	−5.54553	−	1.49320i	−0.826679	−	0.222594i
$46$	0.804005	−	1.10662i	0.118544	−	0.163162i
$47$	2.74007	−	0.433984i	0.399680	−	0.0633031i	0.0466410	−	0.998912i	$-0.485148\pi$
$47$	2.74007	−	0.433984i	0.399680	−	0.0633031i	0.353039	+	0.935609i	$0.385148\pi$
$48$	0.585380	+	0.298266i	0.0844924	+	0.0430510i
$49$	2.81109	−	3.86913i	0.401584	−	0.552733i
$50$	−4.83279	+	1.28226i	−0.683459	+	0.181339i
$51$	0.163518	−	0.503257i	0.0228971	−	0.0704701i
$52$	−1.59291	−	0.252292i	−0.220897	−	0.0349866i
$53$	−8.48867	−	4.32519i	−1.16601	−	0.594111i	−0.239689	−	0.970850i	$-0.577046\pi$
$53$	−8.48867	−	4.32519i	−1.16601	−	0.594111i	−0.926320	+	0.376738i	$0.877046\pi$
$54$	−1.13049	−	3.47930i	−0.153840	−	0.473472i
$55$	2.41091	+	2.98470i	0.325087	+	0.402457i
$56$	1.48912			0.198993
$57$	1.43482	+	1.43482i	0.190046	+	0.190046i
$58$	−1.82515	−	3.58206i	−0.239654	−	0.470348i
$59$	6.98344	−	9.61188i	0.909167	−	1.25136i	−0.0582839	−	0.998300i	$-0.518563\pi$
$59$	6.98344	−	9.61188i	0.909167	−	1.25136i	0.967450	−	0.253060i	$-0.0814371\pi$
$60$	−1.09053	−	0.984336i	−0.140786	−	0.127077i
$61$		−	1.10919i		−	0.142018i	−0.997476	−	0.0710088i	$-0.977378\pi$
$61$		−	1.10919i		−	0.142018i	0.997476	−	0.0710088i	$-0.0226218\pi$
$62$	1.93391	+	5.22111i	0.245607	+	0.663081i
$63$	−2.70441	−	2.70441i	−0.340724	−	0.340724i
$64$	−0.587785	−	0.809017i	−0.0734732	−	0.101127i
$65$	3.29267	+	1.47083i	0.408406	+	0.182434i
$66$	−0.348355	+	1.07213i	−0.0428796	+	0.131970i
$67$	4.18986	−	4.18986i	0.511873	−	0.511873i	−0.403227	−	0.915100i	$-0.632111\pi$
$67$	4.18986	−	4.18986i	0.511873	−	0.511873i	0.915100	+	0.403227i	$0.132111\pi$
$68$	−0.569523	+	0.569523i	−0.0690648	+	0.0690648i
$69$	−0.854680	−	0.277702i	−0.102891	−	0.0334314i
$70$	−3.21527	−	0.865751i	−0.384298	−	0.103477i
$71$	4.59704	+	14.1482i	0.545568	+	1.67909i	0.719635	+	0.694353i	$0.244309\pi$
$71$	4.59704	+	14.1482i	0.545568	+	1.67909i	−0.174066	+	0.984734i	$0.555691\pi$
$72$	−0.401781	+	2.53675i	−0.0473504	+	0.298958i
$73$	−4.25441	−	8.34976i	−0.497941	−	0.977265i	−0.994042	−	0.109000i	$-0.965235\pi$
$73$	−4.25441	−	8.34976i	−0.497941	−	0.977265i	0.496100	−	0.868265i	$-0.334765\pi$
$74$	6.82840	−	4.96113i	0.793786	−	0.576719i
$75$	1.78235	+	2.75936i	0.205808	+	0.318623i
$76$	−0.954414	−	2.93738i	−0.109479	−	0.336941i
$77$	0.399711	+	2.52368i	0.0455513	+	0.287600i
$78$	0.165753	+	1.04652i	0.0187678	+	0.118495i
$79$	−0.984519	−	3.03004i	−0.110767	−	0.340906i	0.880274	−	0.474466i	$-0.157359\pi$
$79$	−0.984519	−	3.03004i	−0.110767	−	0.340906i	−0.991041	+	0.133561i	$0.957359\pi$
$80$	0.798777	+	2.08853i	0.0893060	+	0.233505i
$81$	4.28909	−	3.11621i	0.476566	−	0.346245i
$82$	−0.535503	−	1.05098i	−0.0591364	−	0.116062i
$83$	0.911482	−	5.75487i	0.100048	−	0.631679i	−0.885804	−	0.464060i	$-0.846392\pi$
$83$	0.911482	−	5.75487i	0.100048	−	0.631679i	0.985852	−	0.167619i	$-0.0536079\pi$
$84$	−0.302323	−	0.930454i	−0.0329861	−	0.101521i
$85$	1.56081	−	0.898583i	0.169293	−	0.0974651i
$86$	5.32841	+	1.73130i	0.574577	+	0.186691i
$87$	−1.86765	+	1.86765i	−0.200233	+	0.200233i
$88$	1.21330	−	1.21330i	0.129338	−	0.129338i
$89$	1.10084	−	3.38803i	0.116689	−	0.359131i	−0.875607	−	0.483024i	$-0.839538\pi$
$89$	1.10084	−	3.38803i	0.116689	−	0.359131i	0.992295	+	0.123894i	$0.0395382\pi$
$90$	2.34233	−	5.24367i	0.246903	−	0.552731i
$91$	1.41163	+	1.94294i	0.147979	+	0.203676i
$92$	0.967219	+	0.967219i	0.100840	+	0.100840i
$93$	2.86969	−	2.26836i	0.297573	−	0.235218i
$94$			2.77422i			0.286139i
$95$	0.352993	+	6.89718i	0.0362163	+	0.707635i
$96$	−0.386168	+	0.531514i	−0.0394131	+	0.0542475i
$97$	−3.17450	−	6.23030i	−0.322321	−	0.632591i	0.671816	−	0.740718i	$-0.265515\pi$
$97$	−3.17450	−	6.23030i	−0.322321	−	0.632591i	−0.994137	+	0.108127i	$0.965515\pi$
$98$	3.38174	+	3.38174i	0.341608	+	0.341608i
$99$	−4.40697			−0.442917
$100$	−0.510456	−	4.97388i	−0.0510456	−	0.497388i
$101$	0.181429	+	0.558381i	0.0180528	+	0.0555609i	0.959677	−	0.281105i	$-0.0907008\pi$
$101$	0.181429	+	0.558381i	0.0180528	+	0.0555609i	−0.941624	+	0.336666i	$0.890701\pi$
$102$	0.471481	+	0.240232i	0.0466836	+	0.0237865i
$103$	0.0202514	+	0.00320751i	0.00199543	+	0.000316046i	0.157432	−	0.987530i	$-0.449678\pi$
$103$	0.0202514	+	0.00320751i	0.00199543	+	0.000316046i	−0.155437	+	0.987846i	$0.549678\pi$
$104$	0.498371	−	1.53383i	0.0488693	−	0.150404i
$105$	0.111815	+	2.18477i	0.0109120	+	0.213212i
$106$	5.59987	−	7.70755i	0.543907	−	0.748624i
$107$	−8.05368	−	4.10355i	−0.778579	−	0.396706i	0.0190777	−	0.999818i	$-0.493927\pi$
$107$	−8.05368	−	4.10355i	−0.778579	−	0.396706i	−0.797656	+	0.603112i	$0.793927\pi$
$108$	3.61331	−	0.572292i	0.347691	−	0.0550688i
$109$	3.73035	−	5.13439i	0.357303	−	0.491785i	−0.592092	−	0.805870i	$-0.701698\pi$
$109$	3.73035	−	5.13439i	0.357303	−	0.491785i	0.949395	+	0.314085i	$0.101698\pi$
$110$	−3.32510	+	1.91432i	−0.317036	+	0.182523i
$111$	−4.48618	−	3.25940i	−0.425809	−	0.309369i
$112$	−0.232950	+	1.47079i	−0.0220117	+	0.138977i
$113$	−16.1944	+	8.25146i	−1.52344	+	0.776232i	−0.997248	−	0.0741341i	$-0.976381\pi$
$113$	−16.1944	+	8.25146i	−1.52344	+	0.776232i	−0.526192	+	0.850366i	$0.676381\pi$
$114$	−1.64161	+	1.19270i	−0.153751	+	0.111706i
$115$	−1.52606	−	2.65071i	−0.142306	−	0.247180i
$116$	3.82348	−	1.24232i	0.355001	−	0.115347i
$117$	−3.69070	+	1.88051i	−0.341205	+	0.173853i
$118$	8.40109	+	8.40109i	0.773383	+	0.773383i
$119$	1.19938			0.109947
$120$	1.14281	−	0.923116i	0.104324	−	0.0842686i
$121$	−6.51729	−	4.73509i	−0.592481	−	0.430463i
$122$	1.09554	+	0.173516i	0.0991853	+	0.0157094i
$123$	−0.547971	+	0.547971i	−0.0494088	+	0.0494088i
$124$	−5.45936	+	1.09334i	−0.490265	+	0.0981852i
$125$	−1.78957	+	11.0362i	−0.160064	+	0.987107i
$126$	3.09418	−	2.24805i	0.275652	−	0.200273i
$127$	−0.305547	−	1.92915i	−0.0271129	−	0.171184i	0.970416	−	0.241438i	$-0.0776191\pi$
$127$	−0.305547	−	1.92915i	−0.0271129	−	0.171184i	−0.997529	+	0.0702538i	$0.977619\pi$
$128$	0.891007	−	0.453990i	0.0787546	−	0.0401275i
$129$		−	3.68085i		−	0.324081i
$130$	−1.96781	+	3.02205i	−0.172588	+	0.265051i
$131$	−5.46983	+	16.8344i	−0.477901	+	1.47083i	0.364104	+	0.931358i	$0.381375\pi$
$131$	−5.46983	+	16.8344i	−0.477901	+	1.47083i	−0.842005	+	0.539469i	$0.818625\pi$
$132$	−1.00443	−	0.511784i	−0.0874246	−	0.0445451i
$133$	−2.08801	+	4.09795i	−0.181053	+	0.355337i
$134$	3.48284	+	4.79372i	0.300871	+	0.414114i
$135$	−8.13445	−	0.865043i	−0.700102	−	0.0744510i
$136$	−0.473418	−	0.651604i	−0.0405953	−	0.0558746i
$137$	1.17521	+	7.41999i	0.100405	+	0.633933i	0.985649	+	0.168806i	$0.0539912\pi$
$137$	1.17521	+	7.41999i	0.100405	+	0.633933i	−0.885244	+	0.465127i	$0.846009\pi$
$138$	0.407985	−	0.800715i	0.0347300	−	0.0681614i
$139$	12.9634	+	9.41849i	1.09954	+	0.798866i	0.980986	−	0.194081i	$-0.0621724\pi$
$139$	12.9634	+	9.41849i	1.09954	+	0.798866i	0.118559	+	0.992947i	$0.462172\pi$
$140$	1.35807	−	3.04025i	0.114778	−	0.256948i
$141$	1.73342	−	0.563224i	0.145981	−	0.0474320i
$142$	−14.6932	+	2.32717i	−1.23302	+	0.195292i
$143$	2.73321	+	0.432898i	0.228563	+	0.0362008i
$144$	−2.44266	−	0.793669i	−0.203555	−	0.0661391i
$145$	−8.97778	+	0.459477i	−0.745564	+	0.0381575i
$146$	8.91250	−	2.89585i	0.737603	−	0.239662i
$147$	1.42646	−	2.79959i	0.117652	−	0.230906i
$148$	3.83185	+	7.52043i	0.314976	+	0.618175i
$149$			4.82402i			0.395199i	0.980283	+	0.197600i	$0.0633146\pi$
$149$			4.82402i			0.395199i	−0.980283	+	0.197600i	$0.936685\pi$
$150$	−3.00421	+	1.32875i	−0.245292	+	0.108492i
$151$	−3.64524	−	1.18441i	−0.296646	−	0.0963860i	0.156913	−	0.987612i	$-0.449846\pi$
$151$	−3.64524	−	1.18441i	−0.296646	−	0.0963860i	−0.453559	+	0.891226i	$0.649846\pi$
$152$	3.05052	−	0.483155i	0.247430	−	0.0391891i
$153$	−0.323605	+	2.04316i	−0.0261619	+	0.165180i
$154$	−2.55513			−0.205899
$155$	12.4233	+	0.813267i	0.997864	+	0.0653232i
$156$	−1.05957			−0.0848332
$157$	0.838789	−	5.29590i	0.0669426	−	0.422659i	−0.931344	−	0.364141i	$-0.881363\pi$
$157$	0.838789	−	5.29590i	0.0669426	−	0.422659i	0.998286	−	0.0585178i	$-0.0186375\pi$
$158$	3.14675	−	0.498395i	0.250342	−	0.0396502i
$159$	−5.95282	−	1.93419i	−0.472089	−	0.153391i
$160$	−2.18777	+	0.462225i	−0.172959	+	0.0365421i
$161$		−	2.03691i		−	0.160531i
$162$	2.40688	+	4.72377i	0.189102	+	0.371134i
$163$	−1.66357	+	3.26495i	−0.130301	+	0.255731i	−0.946935	−	0.321426i	$-0.895838\pi$
$163$	−1.66357	+	3.26495i	−0.130301	+	0.255731i	0.816633	+	0.577157i	$0.195838\pi$
$164$	1.12182	−	0.364500i	0.0875990	−	0.0284627i
$165$	1.87119	+	1.68899i	0.145672	+	0.131487i
$166$	5.54143	+	1.80052i	0.430099	+	0.139748i
$167$	14.6371	+	2.31829i	1.13265	+	0.179394i	0.694490	−	0.719502i	$-0.255630\pi$
$167$	14.6371	+	2.31829i	1.13265	+	0.179394i	0.438161	+	0.898896i	$0.355630\pi$
$168$	0.966292	−	0.153046i	0.0745510	−	0.0118077i
$169$	−9.89003	+	3.21347i	−0.760772	+	0.247190i
$170$	0.643357	+	1.68216i	0.0493432	+	0.129016i
$171$	−6.41755	−	4.66262i	−0.490762	−	0.356560i
$172$	−2.54354	+	4.99197i	−0.193943	+	0.380634i
$173$	3.65071	+	23.0497i	0.277559	+	1.75244i	0.594598	+	0.804023i	$0.297311\pi$
$173$	3.65071	+	23.0497i	0.277559	+	1.75244i	−0.317039	+	0.948412i	$0.602689\pi$
$174$	−1.55249	−	2.13682i	−0.117694	−	0.161992i
$175$	−4.69985	+	5.77484i	−0.355275	+	0.436537i
$176$	1.00856	+	1.38816i	0.0760230	+	0.104637i
$177$	3.54368	−	6.95487i	0.266360	−	0.522760i
$178$	3.17411	+	1.61729i	0.237910	+	0.121221i
$179$	−7.09843	+	21.8467i	−0.530562	+	1.63290i	0.222486	+	0.974936i	$0.428583\pi$
$179$	−7.09843	+	21.8467i	−0.530562	+	1.63290i	−0.753048	+	0.657965i	$0.771417\pi$
$180$	4.81269	+	3.13378i	0.358716	+	0.233578i
$181$			0.526048i			0.0391008i	0.999809	+	0.0195504i	$0.00622348\pi$
$181$			0.526048i			0.0391008i	−0.999809	+	0.0195504i	$0.993777\pi$
$182$	−2.13985	+	1.09031i	−0.158616	+	0.0808189i
$183$	−0.113998	−	0.719754i	−0.00842697	−	0.0532058i
$184$	−1.10662	+	0.804005i	−0.0815809	+	0.0592720i
$185$	−3.90135	−	18.4656i	−0.286833	−	1.35762i
$186$	1.79152	+	3.18921i	0.131360	+	0.233845i
$187$	0.977223	−	0.977223i	0.0714617	−	0.0714617i
$188$	−2.74007	−	0.433984i	−0.199840	−	0.0316515i
$189$	−4.40731	−	3.20210i	−0.320585	−	0.232919i
$190$	−6.86748	−	0.730309i	−0.498219	−	0.0529822i
$191$	−0.919642			−0.0665430			−0.0332715	−	0.999446i	$-0.510593\pi$
$191$	−0.919642			−0.0665430			−0.0332715	+	0.999446i	$0.510593\pi$
$192$	−0.464561	−	0.464561i	−0.0335268	−	0.0335268i
$193$	−8.92935	+	4.54973i	−0.642749	+	0.327497i	−0.744805	−	0.667282i	$-0.767458\pi$
$193$	−8.92935	+	4.54973i	−0.642749	+	0.327497i	0.102056	+	0.994779i	$0.467458\pi$
$194$	6.65020	−	2.16078i	0.477456	−	0.155135i
$195$	2.28778	+	0.616013i	0.163831	+	0.0441136i
$196$	−3.86913	+	2.81109i	−0.276366	+	0.200792i
$197$	2.17573	−	1.10859i	0.155014	−	0.0789837i	−0.374762	−	0.927121i	$-0.622276\pi$
$197$	2.17573	−	1.10859i	0.155014	−	0.0789837i	0.529777	+	0.848137i	$0.322276\pi$
$198$	0.689401	−	4.35271i	0.0489936	−	0.309334i
$199$	18.5557	+	13.4815i	1.31538	+	0.955679i	0.999977	+	0.00672075i	$0.00213930\pi$
$199$	18.5557	+	13.4815i	1.31538	+	0.955679i	0.315402	+	0.948958i	$0.397861\pi$
$200$	4.99249	+	0.273914i	0.353022	+	0.0193686i
$201$	2.28818	−	3.14941i	0.161396	−	0.222142i
$202$	−0.579888	+	0.0918452i	−0.0408008	+	0.00646221i
$203$	−5.33414	−	2.71788i	−0.374383	−	0.190758i
$204$	−0.311030	+	0.428096i	−0.0217765	+	0.0299727i
$205$	−2.63410	+	0.134811i	−0.183973	+	0.00941564i
$206$	−0.00633605	+	0.0195003i	−0.000441453	+	0.00135865i
$207$	3.46990	+	0.549578i	0.241175	+	0.0381983i
$208$	1.43698	+	0.732179i	0.0996368	+	0.0507675i
$209$	1.63764	+	5.04015i	0.113278	+	0.348634i
$210$	−2.17536	−	0.231335i	−0.150114	−	0.0159636i
$211$	−1.79807			−0.123784			−0.0618921	−	0.998083i	$-0.519713\pi$
$211$	−1.79807			−0.123784			−0.0618921	+	0.998083i	$0.519713\pi$
$212$	6.73665	+	6.73665i	0.462675	+	0.462675i
$213$	4.43711	+	8.70832i	0.304026	+	0.596684i
$214$	5.31291	−	7.31259i	0.363183	−	0.499878i
$215$	8.39416	−	9.29972i	0.572477	−	0.634236i
$216$			3.65835i			0.248919i
$217$	6.89980	+	4.59728i	0.468389	+	0.312084i
$218$	4.48762	+	4.48762i	0.303940	+	0.303940i
$219$	−3.61884	−	4.98090i	−0.244538	−	0.336578i
$220$	−1.37059	−	3.58363i	−0.0924053	−	0.241608i
$221$	0.401402	−	1.23539i	0.0270012	−	0.0831012i
$222$	3.92106	−	3.92106i	0.263165	−	0.263165i
$223$	−2.68180	+	2.68180i	−0.179587	+	0.179587i	−0.791176	−	0.611589i	$-0.790531\pi$
$223$	−2.68180	+	2.68180i	−0.179587	+	0.179587i	0.611589	+	0.791176i	$0.290531\pi$
$224$	−1.41624	−	0.460165i	−0.0946266	−	0.0307461i
$225$	−8.56946	−	9.56437i	−0.571297	−	0.637625i
$226$	−5.61651	−	17.2858i	−0.373604	−	1.14984i
$227$	1.08256	−	6.83500i	0.0718519	−	0.453655i	−0.925364	−	0.379081i	$-0.876240\pi$
$227$	1.08256	−	6.83500i	0.0718519	−	0.453655i	0.997215	−	0.0745743i	$-0.0237598\pi$
$228$	−0.921210	−	1.80798i	−0.0610086	−	0.119736i
$229$	13.4639	−	9.78211i	0.889721	−	0.646420i	−0.0460845	−	0.998938i	$-0.514674\pi$
$229$	13.4639	−	9.78211i	0.889721	−	0.646420i	0.935805	+	0.352518i	$0.114674\pi$
$230$	2.85680	−	1.09261i	0.188372	−	0.0720446i
$231$	0.518744	+	1.59653i	0.0341309	+	0.105044i
$232$	0.628904	+	3.97075i	0.0412896	+	0.260692i
$233$	−3.40918	−	21.5247i	−0.223343	−	1.41013i	−0.803345	−	0.595514i	$-0.796948\pi$
$233$	−3.40918	−	21.5247i	−0.223343	−	1.41013i	0.580002	−	0.814615i	$-0.303052\pi$
$234$	−1.28000	−	3.93944i	−0.0836763	−	0.257529i
$235$	5.66395	+	2.53007i	0.369475	+	0.165044i
$236$	−9.61188	+	6.98344i	−0.625680	+	0.454583i
$237$	−0.950267	−	1.86500i	−0.0617265	−	0.121145i
$238$	−0.187625	+	1.18462i	−0.0121619	+	0.0767872i
$239$	−5.87218	−	18.0727i	−0.379840	−	1.16903i	−0.940155	−	0.340748i	$-0.889320\pi$
$239$	−5.87218	−	18.0727i	−0.379840	−	1.16903i	0.560315	−	0.828280i	$-0.310680\pi$
$240$	0.732975	+	1.27315i	0.0473134	+	0.0821815i
$241$	−19.7008	−	6.40118i	−1.26904	−	0.412336i	−0.404333	−	0.914612i	$-0.632496\pi$
$241$	−19.7008	−	6.40118i	−1.26904	−	0.412336i	−0.864707	+	0.502276i	$0.832496\pi$
$242$	5.69632	−	5.69632i	0.366173	−	0.366173i
$243$	10.2234	−	10.2234i	0.655835	−	0.655835i
$244$	−0.342759	+	1.05491i	−0.0219429	+	0.0675334i
$245$	9.98841	−	3.82016i	0.638136	−	0.244061i
$246$	−0.455503	−	0.626946i	−0.0290418	−	0.0399726i
$247$	3.52217	+	3.52217i	0.224110	+	0.224110i
$248$	−0.225851	−	5.56318i	−0.0143416	−	0.353262i
$249$		−	3.82801i		−	0.242590i
$250$	−10.6204	−	3.49397i	−0.671691	−	0.220978i
$251$	−4.92760	+	6.78227i	−0.311028	+	0.428093i	−0.935701	−	0.352793i	$-0.885232\pi$
$251$	−4.92760	+	6.78227i	−0.311028	+	0.428093i	0.624674	+	0.780886i	$0.285232\pi$
$252$	1.73634	+	3.40776i	0.109379	+	0.214669i
$253$	−1.65962	−	1.65962i	−0.104339	−	0.104339i
$254$	1.95320			0.122554
$255$	0.920453	−	0.743503i	0.0576410	−	0.0465599i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	5.59712	+	2.85187i	0.349139	+	0.177895i	0.619761	−	0.784791i	$-0.287229\pi$
$257$	5.59712	+	2.85187i	0.349139	+	0.177895i	−0.270622	+	0.962686i	$0.587229\pi$
$258$	3.63554	+	0.575812i	0.226339	+	0.0358485i
$259$	3.88396	−	11.9536i	0.241338	−	0.742761i
$260$	−2.67701	−	2.41633i	−0.166021	−	0.149855i
$261$	6.06915	−	8.35347i	0.375671	−	0.517067i
$262$	−15.7715	−	8.03596i	−0.974364	−	0.496463i
$263$	23.0496	−	3.65070i	1.42130	−	0.225112i	0.602009	−	0.798489i	$-0.294367\pi$
$263$	23.0496	−	3.65070i	1.42130	−	0.225112i	0.819292	+	0.573377i	$0.194367\pi$
$264$	0.662611	−	0.912006i	0.0407809	−	0.0561301i
$265$	−10.6290	−	18.4621i	−0.652932	−	1.13412i
$266$	−3.72086	−	2.70336i	−0.228140	−	0.165754i
$267$	0.366126	−	2.31163i	0.0224066	−	0.141469i
$268$	−5.27953	+	2.69006i	−0.322499	+	0.164321i
$269$	−20.7202	+	15.0541i	−1.26333	+	0.917865i	−0.998916	−	0.0465431i	$-0.985180\pi$
$269$	−20.7202	+	15.0541i	−1.26333	+	0.917865i	−0.264417	+	0.964408i	$0.585180\pi$
$270$	2.12690	−	7.89898i	0.129439	−	0.480717i
$271$	−3.05848	+	0.993760i	−0.185789	+	0.0603666i	−0.400434	−	0.916326i	$-0.631141\pi$
$271$	−3.05848	+	0.993760i	−0.185789	+	0.0603666i	0.214645	+	0.976692i	$0.431141\pi$
$272$	0.717641	−	0.365656i	0.0435134	−	0.0221712i
$273$	1.11569	+	1.11569i	0.0675247	+	0.0675247i
$274$	−7.51248			−0.453846
$275$	0.875873	+	8.53449i	0.0528171	+	0.514649i
$276$	0.727034	+	0.528221i	0.0437623	+	0.0317952i
$277$	22.1694	+	3.51129i	1.33203	+	0.210973i	0.781534	−	0.623863i	$-0.214438\pi$
$277$	22.1694	+	3.51129i	1.33203	+	0.210973i	0.550499	+	0.834836i	$0.314438\pi$
$278$	−11.3305	+	11.3305i	−0.679556	+	0.679556i
$279$	−9.69318	+	10.5135i	−0.580315	+	0.629428i
$280$	2.79037	+	1.81695i	0.166756	+	0.108584i
$281$	−11.4287	+	8.30341i	−0.681777	+	0.495340i	−0.873947	−	0.486022i	$-0.838448\pi$
$281$	−11.4287	+	8.30341i	−0.681777	+	0.495340i	0.192170	+	0.981362i	$0.438448\pi$
$282$	0.285122	+	1.80019i	0.0169788	+	0.107200i
$283$	15.6285	−	7.96312i	0.929018	−	0.473358i	0.0770942	−	0.997024i	$-0.475436\pi$
$283$	15.6285	−	7.96312i	0.929018	−	0.473358i	0.851924	+	0.523665i	$0.175436\pi$
$284$		−	14.8763i		−	0.882748i
$285$	0.937918	+	4.43929i	0.0555575	+	0.262961i
$286$	−0.855137	+	2.63184i	−0.0505653	+	0.155624i
$287$	−1.56505	−	0.797430i	−0.0923817	−	0.0470708i
$288$	1.16601	−	2.28843i	0.0687080	−	0.134847i
$289$	9.61105	+	13.2285i	0.565356	+	0.778145i
$290$	0.950615	−	8.93913i	0.0558220	−	0.524924i
$291$	−2.70025	−	3.71658i	−0.158292	−	0.217870i
$292$	1.46597	+	9.25578i	0.0857895	+	0.541653i
$293$	−10.0078	+	19.6414i	−0.584661	+	1.14746i	0.389378	+	0.921078i	$0.372690\pi$
$293$	−10.0078	+	19.6414i	−0.584661	+	1.14746i	−0.974038	+	0.226383i	$0.927310\pi$
$294$	2.54197	+	1.84685i	0.148251	+	0.107710i
$295$	24.8137	−	9.49022i	1.44471	−	0.552542i
$296$	−8.02727	+	2.60822i	−0.466576	+	0.151600i
$297$	−6.19994	+	0.981975i	−0.359757	+	0.0569799i
$298$	−4.76463	−	0.754643i	−0.276008	−	0.0437153i
$299$	−2.09806	−	0.681699i	−0.121334	−	0.0394237i
$300$	−0.842428	−	3.17508i	−0.0486376	−	0.183313i
$301$	7.93467	−	2.57813i	0.457347	−	0.148601i
$302$	1.74007	−	3.41508i	0.100130	−	0.196516i
$303$	0.175117	+	0.343686i	0.0100602	+	0.0197443i
$304$			3.08855i			0.177140i
$305$	1.35338	−	2.07844i	0.0774942	−	0.119011i
$306$	−1.96739	−	0.639243i	−0.112468	−	0.0365431i
$307$	7.55417	−	1.19646i	0.431139	−	0.0682858i	0.0629067	−	0.998019i	$-0.479963\pi$
$307$	7.55417	−	1.19646i	0.431139	−	0.0682858i	0.368233	+	0.929734i	$0.379963\pi$
$308$	0.399711	−	2.52368i	0.0227757	−	0.143800i
$309$	0.0134708			0.000766327
$310$	−2.74669	+	12.1431i	−0.156001	+	0.689684i
$311$	−8.06607			−0.457385			−0.228693	−	0.973499i	$-0.573445\pi$
$311$	−8.06607			−0.457385			−0.228693	+	0.973499i	$0.573445\pi$
$312$	0.165753	−	1.04652i	0.00938390	−	0.0592476i
$313$	−25.9988	+	4.11781i	−1.46954	+	0.232752i	−0.839309	−	0.543654i	$-0.817040\pi$
$313$	−25.9988	+	4.11781i	−1.46954	+	0.232752i	−0.630232	+	0.776407i	$0.717040\pi$
$314$	5.09949	+	1.65692i	0.287781	+	0.0935056i
$315$	−1.76783	−	8.36740i	−0.0996061	−	0.471449i
$316$			3.18597i			0.179225i
$317$	−4.19623	−	8.23556i	−0.235684	−	0.462555i	0.742625	−	0.669707i	$-0.233580\pi$
$317$	−4.19623	−	8.23556i	−0.235684	−	0.462555i	−0.978309	+	0.207152i	$0.933580\pi$
$318$	2.84160	−	5.57696i	0.159349	−	0.312740i
$319$	−6.56056	+	2.13166i	−0.367321	+	0.119350i
$320$	−0.114291	−	2.23315i	−0.00638906	−	0.124837i
$321$	−5.64777	−	1.83507i	−0.315228	−	0.102424i
$322$	2.01183	+	0.318642i	0.112115	+	0.0177572i
$323$	2.45697	−	0.389146i	0.136710	−	0.0216527i
$324$	−5.04213	+	1.63829i	−0.280118	+	0.0910160i
$325$	4.37529	+	6.77363i	0.242697	+	0.375733i
$326$	−2.96451	−	2.15384i	−0.164189	−	0.119290i
$327$	1.89293	−	3.71509i	0.104679	−	0.205445i
$328$	0.184522	+	1.16502i	0.0101885	+	0.0643277i
$329$	2.42824	+	3.34218i	0.133873	+	0.184260i
$330$	−1.96091	+	1.58394i	−0.107945	+	0.0871931i
$331$	−3.78059	−	5.20354i	−0.207800	−	0.286012i	0.692377	−	0.721536i	$-0.256563\pi$
$331$	−3.78059	−	5.20354i	−0.207800	−	0.286012i	−0.900178	+	0.435523i	$0.856563\pi$
$332$	−2.64522	+	5.19155i	−0.145176	+	0.284923i
$333$	19.3152	+	9.84159i	1.05847	+	0.539316i
$334$	−4.57949	+	14.0942i	−0.250579	+	0.771201i
$335$	12.9633	−	2.73885i	0.708263	−	0.149639i
$336$			0.978337i			0.0533727i
$337$	14.7561	−	7.51861i	0.803816	−	0.409565i	−0.00327291	−	0.999995i	$-0.501042\pi$
$337$	14.7561	−	7.51861i	0.803816	−	0.409565i	0.807089	+	0.590430i	$0.201042\pi$
$338$	−1.62676	−	10.2710i	−0.0884841	−	0.558667i
$339$	−9.66048	+	7.01875i	−0.524685	+	0.381206i
$340$	−1.76209	+	0.372288i	−0.0955628	+	0.0201902i
$341$	9.36751	−	1.87603i	0.507279	−	0.101593i
$342$	5.60914	−	5.60914i	0.303308	−	0.303308i
$343$	17.3296	+	2.74474i	0.935711	+	0.148202i
$344$	−4.53262	−	3.29314i	−0.244382	−	0.177554i
$345$	−1.26269	−	1.56320i	−0.0679808	−	0.0841600i
$346$	−23.3370			−1.25461
$347$	−15.8493	−	15.8493i	−0.850833	−	0.850833i	0.139403	−	0.990236i	$-0.455482\pi$
$347$	−15.8493	−	15.8493i	−0.850833	−	0.850833i	−0.990236	+	0.139403i	$0.955482\pi$
$348$	2.35337	−	1.19910i	0.126154	−	0.0642786i
$349$	20.0342	−	6.50951i	1.07241	−	0.348446i	0.280982	−	0.959713i	$-0.409340\pi$
$349$	20.0342	−	6.50951i	1.07241	−	0.348446i	0.791424	+	0.611267i	$0.209340\pi$
$350$	−4.96852	−	5.54537i	−0.265579	−	0.296412i
$351$	−4.77324	+	3.46796i	−0.254777	+	0.185106i
$352$	−1.52885	+	0.778986i	−0.0814877	+	0.0415201i
$353$	4.37890	−	27.6473i	0.233065	−	1.47152i	−0.542397	−	0.840122i	$-0.682483\pi$
$353$	4.37890	−	27.6473i	0.233065	−	1.47152i	0.775462	−	0.631394i	$-0.217517\pi$
$354$	6.31489	+	4.58804i	0.335633	+	0.243851i
$355$	−8.64885	+	32.1205i	−0.459033	+	1.70478i
$356$	−2.09392	+	2.88203i	−0.110977	+	0.152747i
$357$	0.778278	−	0.123267i	0.0411908	−	0.00652399i
$358$	−20.4673	−	10.4286i	−1.08173	−	0.551170i
$359$	−14.7533	+	20.3062i	−0.778649	+	1.07172i	0.216781	+	0.976220i	$0.430444\pi$
$359$	−14.7533	+	20.3062i	−0.778649	+	1.07172i	−0.995430	+	0.0954980i	$0.969556\pi$
$360$	−3.84807	+	4.26320i	−0.202811	+	0.224690i
$361$	2.92357	−	8.99782i	0.153872	−	0.473570i
$362$	−0.519571	−	0.0822920i	−0.0273080	−	0.00432517i
$363$	−4.71572	−	2.40278i	−0.247511	−	0.126113i
$364$	−0.742137	−	2.28406i	−0.0388986	−	0.119717i
$365$	2.21588	−	20.8370i	0.115984	−	1.09066i
$366$	0.728726			0.0380911
$367$	−26.6234	−	26.6234i	−1.38973	−	1.38973i	−0.825869	−	0.563862i	$-0.809315\pi$
$367$	−26.6234	−	26.6234i	−1.38973	−	1.38973i	−0.563862	−	0.825869i	$-0.690685\pi$
$368$	−0.620993	−	1.21877i	−0.0323715	−	0.0635326i
$369$	1.78070	−	2.45092i	0.0926995	−	0.127590i
$370$	18.8486	−	0.964658i	0.979891	−	0.0501502i
$371$		−	14.1870i		−	0.736551i
$372$	−3.43020	+	1.27056i	−0.177848	+	0.0658754i
$373$	21.5524	+	21.5524i	1.11594	+	1.11594i	0.992331	+	0.123611i	$0.0394477\pi$
$373$	21.5524	+	21.5524i	1.11594	+	1.11594i	0.123611	+	0.992331i	$0.460552\pi$
$374$	0.812321	+	1.11806i	0.0420041	+	0.0578137i
$375$	−0.0269972	+	7.34530i	−0.00139413	+	0.379310i
$376$	0.857282	−	2.63844i	0.0442109	−	0.136067i
$377$	−4.58467	+	4.58467i	−0.236122	+	0.236122i
$378$	3.85213	−	3.85213i	0.198132	−	0.198132i
$379$	−20.3586	−	6.61490i	−1.04575	−	0.339785i	−0.264751	−	0.964317i	$-0.585290\pi$
$379$	−20.3586	−	6.61490i	−1.04575	−	0.339785i	−0.780999	+	0.624532i	$0.785290\pi$
$380$	1.79563	−	6.66868i	0.0921138	−	0.342096i
$381$	−0.396539	−	1.22042i	−0.0203153	−	0.0625240i
$382$	0.143864	−	0.908320i	0.00736071	−	0.0464737i
$383$	−10.2534	−	20.1235i	−0.523926	−	1.02826i	−0.989673	−	0.143344i	$-0.954214\pi$
$383$	−10.2534	−	20.1235i	−0.523926	−	1.02826i	0.465747	−	0.884918i	$-0.345786\pi$
$384$	0.531514	−	0.386168i	0.0271237	−	0.0197065i
$385$	−2.33026	+	5.21665i	−0.118761	+	0.265865i
$386$	−3.09686	−	9.53115i	−0.157626	−	0.485123i
$387$	2.25103	+	14.2124i	0.114426	+	0.722458i
$388$	1.09386	+	6.90634i	0.0555322	+	0.350616i
$389$	3.72003	+	11.4491i	0.188613	+	0.580491i	0.999992	−	0.00402955i	$-0.00128265\pi$
$389$	3.72003	+	11.4491i	0.188613	+	0.580491i	−0.811379	+	0.584521i	$0.801283\pi$
$390$	−0.966317	+	2.16325i	−0.0489313	+	0.109540i
$391$	−0.891300	+	0.647567i	−0.0450750	+	0.0327489i
$392$	−2.17121	−	4.26125i	−0.109663	−	0.215225i
$393$	−1.81920	+	11.4860i	−0.0917666	+	0.579391i
$394$	0.754582	+	2.32236i	0.0380153	+	0.116999i
$395$	1.85227	−	6.87904i	0.0931977	−	0.346122i
$396$	4.19127	+	1.36183i	0.210619	+	0.0684344i
$397$	−22.1795	+	22.1795i	−1.11316	+	1.11316i	−0.120438	+	0.992721i	$0.538430\pi$
$397$	−22.1795	+	22.1795i	−1.11316	+	1.11316i	−0.992721	+	0.120438i	$0.961570\pi$
$398$	−16.2183	+	16.2183i	−0.812949	+	0.812949i
$399$	−0.933738	+	2.87375i	−0.0467454	+	0.143867i
$400$	−1.05154	+	4.88818i	−0.0525770	+	0.244409i
$401$	−7.06702	−	9.72691i	−0.352910	−	0.485739i	0.595246	−	0.803543i	$-0.297054\pi$
$401$	−7.06702	−	9.72691i	−0.352910	−	0.485739i	−0.948156	+	0.317804i	$0.897054\pi$
$402$	2.75269	+	2.75269i	0.137292	+	0.137292i
$403$	7.04448	−	5.56835i	0.350911	−	0.277379i
$404$		−	0.587116i		−	0.0292101i
$405$	11.8393	−	0.605926i	0.588298	−	0.0301087i
$406$	3.51886	−	4.84329i	0.174638	−	0.240369i
$407$	−6.57493	−	12.9040i	−0.325907	−	0.639629i
$408$	−0.374170	−	0.374170i	−0.0185242	−	0.0185242i
$409$	31.8449			1.57463			0.787316	−	0.616550i	$-0.211470\pi$
$409$	31.8449			1.57463			0.787316	+	0.616550i	$0.211470\pi$
$410$	0.278912	−	2.62276i	0.0137745	−	0.129529i
$411$	1.52519	+	4.69404i	0.0752319	+	0.231540i
$412$	−0.0182691	−	0.00930856i	−0.000900053	−	0.000458600i
$413$	17.4744	+	2.76767i	0.859858	+	0.136188i
$414$	−1.08562	+	3.34121i	−0.0533555	+	0.164211i
$415$	8.72975	−	9.67152i	0.428527	−	0.474756i
$416$	−0.947959	+	1.30475i	−0.0464775	+	0.0639708i
$417$	9.37996	+	4.77933i	0.459339	+	0.234045i
$418$	−5.23428	+	0.829028i	−0.256017	+	0.0405491i
$419$	−0.158563	+	0.218243i	−0.00774630	+	0.0106619i	−0.812873	−	0.582442i	$-0.802097\pi$
$419$	−0.158563	+	0.218243i	−0.00774630	+	0.0106619i	0.805126	+	0.593103i	$0.202097\pi$
$420$	0.568788	−	2.11239i	0.0277540	−	0.103074i
$421$	11.4851	+	8.34440i	0.559748	+	0.406681i	0.831367	−	0.555724i	$-0.187559\pi$
$421$	11.4851	+	8.34440i	0.559748	+	0.406681i	−0.271619	+	0.962405i	$0.587559\pi$
$422$	0.281280	−	1.77593i	0.0136925	−	0.0864511i
$423$	−6.34862	+	3.23478i	−0.308680	+	0.157281i
$424$	−7.70755	+	5.59987i	−0.374312	+	0.271954i
$425$	4.02109	+	0.220617i	0.195051	+	0.0107015i
$426$	−9.29522	+	3.02020i	−0.450355	+	0.146329i
$427$	1.47170	−	0.749868i	0.0712205	−	0.0362887i
$428$	6.39144	+	6.39144i	0.308942	+	0.308942i
$429$	1.81807			0.0877773
$430$	7.87209	+	9.74561i	0.379626	+	0.469975i
$431$	1.07875	+	0.783759i	0.0519616	+	0.0377523i	0.613463	−	0.789724i	$-0.289776\pi$
$431$	1.07875	+	0.783759i	0.0519616	+	0.0377523i	−0.561501	+	0.827476i	$0.689776\pi$
$432$	−3.61331	−	0.572292i	−0.173845	−	0.0275344i
$433$	−17.1933	+	17.1933i	−0.826255	+	0.826255i	−0.986997	−	0.160741i	$-0.948612\pi$
$433$	−17.1933	+	17.1933i	−0.826255	+	0.826255i	0.160741	+	0.986997i	$0.448612\pi$
$434$	−5.62005	+	6.09568i	−0.269771	+	0.292602i
$435$	−5.77845	+	1.22085i	−0.277056	+	0.0585353i
$436$	−5.13439	+	3.73035i	−0.245893	+	0.178651i
$437$	−0.660886	−	4.17267i	−0.0316145	−	0.199606i
$438$	5.48569	−	2.79510i	0.262116	−	0.133555i
$439$		−	7.71606i		−	0.368267i	−0.982901	−	0.184134i	$-0.941052\pi$
$439$		−	7.71606i		−	0.368267i	0.982901	−	0.184134i	$-0.0589479\pi$
$440$	3.75392	−	0.793114i	0.178961	−	0.0378102i
$441$	−3.79573	+	11.6820i	−0.180749	+	0.556288i
$442$	1.15739	+	0.589717i	0.0550512	+	0.0280500i
$443$	−2.52650	+	4.95853i	−0.120037	+	0.235587i	−0.943205	−	0.332212i	$-0.892205\pi$
$443$	−2.52650	+	4.95853i	−0.120037	+	0.235587i	0.823167	+	0.567799i	$0.192205\pi$
$444$	3.25940	+	4.48618i	0.154684	+	0.212905i
$445$	6.19668	−	5.00541i	0.293751	−	0.237279i
$446$	−2.22926	−	3.06831i	−0.105558	−	0.145289i
$447$	0.495792	+	3.13030i	0.0234501	+	0.148058i
$448$	0.676049	−	1.32682i	0.0319403	−	0.0626864i
$449$	25.0997	+	18.2360i	1.18453	+	0.860611i	0.992675	−	0.120812i	$-0.0385500\pi$
$449$	25.0997	+	18.2360i	1.18453	+	0.860611i	0.191854	+	0.981423i	$0.438550\pi$
$450$	10.7872	−	6.96775i	0.508512	−	0.328463i
$451$	−1.92488	+	0.625432i	−0.0906391	+	0.0294504i
$452$	17.9516	−	2.84326i	0.844373	−	0.133736i
$453$	−2.48712	−	0.393922i	−0.116855	−	0.0185081i
$454$	6.58150	+	2.13846i	0.308885	+	0.100363i
$455$	0.274482	+	5.36314i	0.0128679	+	0.251428i
$456$	1.92983	−	0.627038i	0.0903723	−	0.0293638i
$457$	−2.78393	+	5.46376i	−0.130227	+	0.255584i	−0.946908	−	0.321505i	$-0.895811\pi$
$457$	−2.78393	+	5.46376i	−0.130227	+	0.255584i	0.816681	+	0.577089i	$0.195811\pi$
$458$	7.55545	+	14.8284i	0.353043	+	0.692886i
$459$			2.94653i			0.137532i
$460$	0.632256	+	2.99255i	0.0294791	+	0.139529i
$461$	32.0005	+	10.3976i	1.49041	+	0.484263i	0.937204	−	0.348781i	$-0.113404\pi$
$461$	32.0005	+	10.3976i	1.49041	+	0.484263i	0.553205	+	0.833045i	$0.313404\pi$
$462$	−1.65802	+	0.262605i	−0.0771383	+	0.0122175i
$463$	−3.06097	+	19.3262i	−0.142255	+	0.898165i	0.808561	+	0.588412i	$0.200247\pi$
$463$	−3.06097	+	19.3262i	−0.142255	+	0.898165i	−0.950817	+	0.309754i	$0.899753\pi$
$464$	−4.02024			−0.186635
$465$	8.14506	−	0.749084i	0.377718	−	0.0347379i
$466$	21.7930			1.00954
$467$	1.21169	−	7.65029i	0.0560702	−	0.354013i	−0.943663	−	0.330908i	$-0.892645\pi$
$467$	1.21169	−	7.65029i	0.0560702	−	0.354013i	0.999733	−	0.0231048i	$-0.00735513\pi$
$468$	4.09117	−	0.647978i	0.189115	−	0.0299528i
$469$	8.39174	+	2.72664i	0.387495	+	0.125905i
$470$	−3.38496	+	5.19843i	−0.156137	+	0.239785i
$471$		−	3.52271i		−	0.162318i
$472$	−5.39383	−	10.5860i	−0.248271	−	0.487260i
$473$	4.36436	−	8.56554i	0.200673	−	0.393844i
$474$	1.99070	−	0.646817i	0.0914358	−	0.0297093i
$475$	−7.75412	+	13.3548i	−0.355783	+	0.612762i
$476$	−1.14068	−	0.370629i	−0.0522830	−	0.0169878i
$477$	24.1677	+	3.82779i	1.10656	+	0.175263i
$478$	18.7688	−	2.97269i	0.858466	−	0.135968i
$479$	−36.3184	+	11.8006i	−1.65943	+	0.539181i	−0.980752	−	0.195257i	$-0.937446\pi$
$479$	−36.3184	+	11.8006i	−1.65943	+	0.539181i	−0.678676	+	0.734438i	$0.737446\pi$
$480$	−1.37214	+	0.524787i	−0.0626293	+	0.0239531i
$481$	−11.0126	−	8.00112i	−0.502131	−	0.364820i
$482$	9.40425	−	18.4569i	0.428352	−	0.840688i
$483$	−0.209344	−	1.32175i	−0.00952549	−	0.0601416i
$484$	4.73509	+	6.51729i	0.215231	+	0.296240i
$485$	1.65341	−	15.5479i	0.0750775	−	0.705993i
$486$	8.49828	+	11.6969i	0.385490	+	0.530581i
$487$	−16.0656	+	31.5306i	−0.728003	+	1.42879i	0.168479	+	0.985705i	$0.446114\pi$
$487$	−16.0656	+	31.5306i	−0.728003	+	1.42879i	−0.896482	+	0.443080i	$0.853886\pi$
$488$	−0.988298	−	0.503563i	−0.0447382	−	0.0227952i
$489$	−0.743936	+	2.28960i	−0.0336419	+	0.103539i
$490$	2.21059	+	10.4630i	0.0998644	+	0.472672i
$491$			19.1053i			0.862212i	0.902301	+	0.431106i	$0.141877\pi$
$491$			19.1053i			0.862212i	−0.902301	+	0.431106i	$0.858123\pi$
$492$	0.690483	−	0.351819i	0.0311294	−	0.0158612i
$493$	0.506537	+	3.19815i	0.0228133	+	0.144037i
$494$	−4.02979	+	2.92782i	−0.181309	+	0.131729i
$495$	−8.25791	−	5.37714i	−0.371165	−	0.241685i
$496$	5.53002	+	0.647203i	0.248305	+	0.0290603i
$497$	−15.6643	+	15.6643i	−0.702642	+	0.702642i
$498$	3.78088	+	0.598833i	0.169425	+	0.0268343i
$499$	−19.5788	−	14.2248i	−0.876468	−	0.636791i	0.0558467	−	0.998439i	$-0.482214\pi$
$499$	−19.5788	−	14.2248i	−0.876468	−	0.636791i	−0.932315	+	0.361648i	$0.882214\pi$
$500$	5.11235	−	9.94303i	0.228631	−	0.444666i
$501$	9.73626			0.434984
$502$	−5.92792	−	5.92792i	−0.264576	−	0.264576i
$503$	5.81845	−	2.96465i	0.259432	−	0.132187i	−0.319438	−	0.947607i	$-0.603494\pi$
$503$	5.81845	−	2.96465i	0.259432	−	0.132187i	0.578870	+	0.815420i	$0.303494\pi$
$504$	−3.63743	+	1.18187i	−0.162024	+	0.0526448i
$505$	−0.341339	+	1.26768i	−0.0151894	+	0.0564110i
$506$	1.89880	−	1.37956i	0.0844121	−	0.0613290i
$507$	−6.08737	+	3.10167i	−0.270349	+	0.137750i
$508$	−0.305547	+	1.92915i	−0.0135565	+	0.0855921i
$509$	−9.73361	−	7.07188i	−0.431435	−	0.313456i	0.350788	−	0.936455i	$-0.385914\pi$
$509$	−9.73361	−	7.07188i	−0.431435	−	0.313456i	−0.782222	+	0.622999i	$0.785914\pi$
$510$	0.590358	+	1.02543i	0.0261415	+	0.0454068i
$511$	8.20243	−	11.2897i	0.362854	−	0.499426i
$512$	−0.987688	+	0.156434i	−0.0436501	+	0.00691349i
$513$	−10.0675	−	5.12963i	−0.444490	−	0.226479i
$514$	−3.69235	+	5.08208i	−0.162862	+	0.224161i
$515$	0.0340341	+	0.0307201i	0.00149972	+	0.00135369i
$516$	−1.13745	+	3.50070i	−0.0500733	+	0.154110i
$517$	4.70158	+	0.744657i	0.206775	+	0.0327500i
$518$	11.1989	+	5.70610i	0.492049	+	0.250712i
$519$	4.73789	+	14.5817i	0.207970	+	0.640067i
$520$	2.80536	−	2.26605i	0.123023	−	0.0993729i
$521$	−43.5823			−1.90938			−0.954688	−	0.297607i	$-0.903811\pi$
$521$	−43.5823			−1.90938			−0.954688	+	0.297607i	$0.903811\pi$
$522$	7.30120	+	7.30120i	0.319565	+	0.319565i
$523$	12.4964	+	24.5256i	0.546431	+	1.07243i	0.984809	+	0.173640i	$0.0555530\pi$
$523$	12.4964	+	24.5256i	0.546431	+	1.07243i	−0.438378	+	0.898790i	$0.644447\pi$
$524$	10.4042	−	14.3202i	0.454511	−	0.625580i
$525$	−2.45622	+	4.23032i	−0.107198	+	0.184626i
$526$			23.3369i			1.01754i
$527$	−0.181907	−	4.48074i	−0.00792398	−	0.195184i
$528$	0.797122	+	0.797122i	0.0346903	+	0.0346903i
$529$	−12.4193	−	17.0937i	−0.539970	−	0.743204i
$530$	19.8975	−	7.61000i	0.864294	−	0.330557i
$531$	−9.42953	+	29.0211i	−0.409207	+	1.25941i
$532$	3.25215	−	3.25215i	0.140999	−	0.140999i
$533$	−1.34515	+	1.34515i	−0.0582649	+	0.0582649i
$534$	2.22590	+	0.723237i	0.0963239	+	0.0312975i
$535$	−10.0843	−	17.5160i	−0.435982	−	0.757284i
$536$	−1.83104	−	5.63535i	−0.0790887	−	0.243410i
$537$	−2.36086	+	14.9059i	−0.101879	+	0.643236i
$538$	−11.6274	−	22.8201i	−0.501293	−	0.983844i
$539$	6.63890	−	4.82344i	0.285958	−	0.207760i
$540$	7.46901	+	3.33639i	0.321415	+	0.143575i
$541$	6.18072	+	19.0223i	0.265730	+	0.817832i	0.991524	+	0.129921i	$0.0414723\pi$
$541$	6.18072	+	19.0223i	0.265730	+	0.817832i	−0.725794	+	0.687912i	$0.758528\pi$
$542$	−0.503074	−	3.17628i	−0.0216089	−	0.136433i
$543$	0.0540648	+	0.341352i	0.00232014	+	0.0146488i
$544$	0.248891	+	0.766007i	0.0106711	+	0.0328423i
$545$	13.2548	−	5.06940i	0.567771	−	0.217149i
$546$	−1.27649	+	0.927423i	−0.0546287	+	0.0396900i
$547$	−2.35641	−	4.62471i	−0.100753	−	0.197738i	0.835128	−	0.550056i	$-0.185394\pi$
$547$	−2.35641	−	4.62471i	−0.100753	−	0.197738i	−0.935880	+	0.352318i	$0.885394\pi$
$548$	1.17521	−	7.41999i	0.0502025	−	0.316966i
$549$	0.880332	+	2.70938i	0.0375717	+	0.115634i
$550$	−8.56643	−	0.469998i	−0.365274	−	0.0200408i
$551$	−11.8090	−	3.83697i	−0.503080	−	0.163461i
$552$	−0.635451	+	0.635451i	−0.0270466	+	0.0270466i
$553$	3.35473	−	3.35473i	0.142658	−	0.142658i
$554$	−6.93613	+	21.3472i	−0.294688	+	0.906956i
$555$	−4.42940	−	11.5814i	−0.188017	−	0.491601i
$556$	−9.41849	−	12.9634i	−0.399433	−	0.549772i
$557$	10.7553	+	10.7553i	0.455718	+	0.455718i	0.897247	−	0.441529i	$-0.145564\pi$
$557$	10.7553	+	10.7553i	0.455718	+	0.455718i	−0.441529	+	0.897247i	$0.645564\pi$
$558$	−8.86773	−	11.2185i	−0.375401	−	0.474918i
$559$		−	9.03570i		−	0.382170i
$560$	−2.23109	+	2.47178i	−0.0942808	+	0.104452i
$561$	0.533685	−	0.734554i	0.0225322	−	0.0310129i
$562$	−6.41335	−	12.5869i	−0.270531	−	0.530946i
$563$	−16.1890	−	16.1890i	−0.682287	−	0.682287i	0.278228	−	0.960515i	$-0.410253\pi$
$563$	−16.1890	−	16.1890i	−0.682287	−	0.682287i	−0.960515	+	0.278228i	$0.910253\pi$
$564$	−1.82263			−0.0767466
$565$	−40.4135	−	4.29770i	−1.70021	−	0.180806i
$566$	5.42025	+	16.6818i	0.227830	+	0.701188i
$567$	7.03428	+	3.58415i	0.295412	+	0.150520i
$568$	14.6932	+	2.32717i	0.616512	+	0.0976460i
$569$	7.18638	−	22.1174i	0.301269	−	0.927210i	−0.679775	−	0.733421i	$-0.737922\pi$
$569$	7.18638	−	22.1174i	0.301269	−	0.927210i	0.981043	−	0.193789i	$-0.0620776\pi$
$570$	−4.53136	+	0.231912i	−0.189798	+	0.00971373i
$571$	21.7906	−	29.9921i	0.911906	−	1.25513i	−0.0546052	−	0.998508i	$-0.517390\pi$
$571$	21.7906	−	29.9921i	0.911906	−	1.25513i	0.966511	−	0.256623i	$-0.0826100\pi$
$572$	−2.46567	−	1.25632i	−0.103095	−	0.0525294i
$573$	−0.596755	+	0.0945167i	−0.0249298	+	0.00394849i
$574$	1.03244	−	1.42103i	0.0430932	−	0.0593127i
$575$	0.374674	−	6.82900i	0.0156250	−	0.284789i
$576$	2.07785	+	1.50965i	0.0865772	+	0.0629020i
$577$	−1.28333	+	8.10260i	−0.0534255	+	0.337316i	0.946469	+	0.322795i	$0.104622\pi$
$577$	−1.28333	+	8.10260i	−0.0534255	+	0.337316i	−0.999895	+	0.0145209i	$0.995378\pi$
$578$	−14.5691	+	7.42333i	−0.605995	+	0.308770i
$579$	−5.32665	+	3.87004i	−0.221368	+	0.160833i
$580$	8.68037	+	2.33730i	0.360433	+	0.0970511i
$581$	8.25189	−	2.68120i	0.342346	−	0.111235i
$582$	4.09323	−	2.08561i	0.169670	−	0.0864512i
$583$	−11.5592	−	11.5592i	−0.478732	−	0.478732i
$584$	−9.37115			−0.387781
$585$	−9.21024	−	0.979445i	−0.380797	−	0.0404951i
$586$	−17.8340	−	12.9572i	−0.736715	−	0.535255i
$587$	−43.3539	−	6.86659i	−1.78941	−	0.283414i	−0.828441	−	0.560077i	$-0.810772\pi$
$587$	−43.3539	−	6.86659i	−1.78941	−	0.283414i	−0.960967	+	0.276662i	$0.910772\pi$
$588$	−2.22176	+	2.22176i	−0.0916240	+	0.0916240i
$589$	15.6261	+	7.17901i	0.643862	+	0.295806i
$590$	5.49166	+	25.9928i	0.226088	+	1.07011i
$591$	1.29789	−	0.942975i	0.0533882	−	0.0387888i
$592$	−1.32037	−	8.33646i	−0.0542667	−	0.342626i
$593$	22.5742	−	11.5021i	0.927012	−	0.472336i	0.0757793	−	0.997125i	$-0.475856\pi$
$593$	22.5742	−	11.5021i	0.927012	−	0.472336i	0.851233	+	0.524788i	$0.175856\pi$
$594$		−	6.27723i		−	0.257558i
$595$	2.24744	+	1.46342i	0.0921360	+	0.0599944i
$596$	1.49071	−	4.58792i	0.0610617	−	0.187928i
$597$	13.4264	+	6.84107i	0.549504	+	0.279986i
$598$	1.00151	−	1.96558i	0.0409550	−	0.0803787i
$599$	−14.2743	−	19.6469i	−0.583234	−	0.802752i	0.410812	−	0.911720i	$-0.365245\pi$
$599$	−14.2743	−	19.6469i	−0.583234	−	0.802752i	−0.994045	+	0.108968i	$0.965245\pi$
$600$	3.26778	−	0.335364i	0.133406	−	0.0136912i
$601$	−24.3204	−	33.4741i	−0.992049	−	1.36544i	−0.930079	−	0.367360i	$-0.880262\pi$
$601$	−24.3204	−	33.4741i	−0.992049	−	1.36544i	−0.0619699	−	0.998078i	$-0.519738\pi$
$602$	1.30513	+	8.24029i	0.0531932	+	0.335849i
$603$	−6.90905	+	13.5598i	−0.281358	+	0.552197i
$604$	3.10083	+	2.25288i	0.126171	+	0.0916685i
$605$	−6.43480	−	16.8248i	−0.261612	−	0.684026i
$606$	−0.366849	+	0.119197i	−0.0149022	+	0.00484203i
$607$	−5.04304	+	0.798739i	−0.204691	+	0.0324198i	−0.257938	−	0.966162i	$-0.583043\pi$
$607$	−5.04304	+	0.798739i	−0.204691	+	0.0324198i	0.0532470	+	0.998581i	$0.483043\pi$
$608$	−3.05052	−	0.483155i	−0.123715	−	0.0195945i
$609$	−3.74065	−	1.21541i	−0.151579	−	0.0492509i
$610$	1.84114	+	1.66186i	0.0745454	+	0.0672866i
$611$	4.25519	−	1.38259i	0.172146	−	0.0559337i
$612$	0.939139	−	1.84317i	0.0379625	−	0.0745055i
$613$	−2.54245	−	4.98983i	−0.102688	−	0.201538i	0.833946	−	0.551847i	$-0.186077\pi$
$613$	−2.54245	−	4.98983i	−0.102688	−	0.201538i	−0.936634	+	0.350309i	$0.886077\pi$
$614$			7.64834i			0.308662i
$615$	−1.69541	+	0.358200i	−0.0683655	+	0.0144440i
$616$	2.43008	+	0.789580i	0.0979106	+	0.0318131i
$617$	26.2393	−	4.15589i	1.05635	−	0.167310i	0.395989	−	0.918255i	$-0.370402\pi$
$617$	26.2393	−	4.15589i	1.05635	−	0.167310i	0.660364	+	0.750946i	$0.270402\pi$
$618$	−0.00210730	+	0.0133049i	−8.47679e−5	+	0.000535204i
$619$	7.01247			0.281855			0.140927	−	0.990020i	$-0.454992\pi$
$619$	7.01247			0.281855			0.140927	+	0.990020i	$0.454992\pi$
$620$	−11.5640	−	4.61248i	−0.464420	−	0.185241i
$621$	5.00409			0.200807
$622$	1.26181	−	7.96677i	0.0505940	−	0.319438i
$623$	5.23953	−	0.829860i	0.209917	−	0.0332476i
$624$	1.00771	+	0.327424i	0.0403406	+	0.0131074i
$625$	−16.8191	+	18.4964i	−0.672764	+	0.739857i
$626$		−	26.3229i		−	1.05208i
$627$	1.58067	+	3.10224i	0.0631259	+	0.123891i
$628$	−2.43426	+	4.77750i	−0.0971375	+	0.190643i
$629$	−6.46538	+	2.10073i	−0.257792	+	0.0837616i
$630$	8.54093	−	0.437119i	0.340279	−	0.0174152i
$631$	39.8055	+	12.9336i	1.58463	+	0.514878i	0.963245	−	0.268625i	$-0.0865691\pi$
$631$	39.8055	+	12.9336i	1.58463	+	0.514878i	0.621388	+	0.783503i	$0.286569\pi$
$632$	−3.14675	−	0.498395i	−0.125171	−	0.0198251i
$633$	−1.16677	+	0.184798i	−0.0463748	+	0.00734505i
$634$	8.79060	−	2.85624i	0.349119	−	0.113436i
$635$	1.78130	−	3.98771i	0.0706887	−	0.158247i
$636$	5.06377	+	3.67904i	0.200792	+	0.145884i
$637$	3.50165	−	6.87238i	0.138741	−	0.272294i
$638$	−1.07911	−	6.81326i	−0.0427225	−	0.269739i
$639$	−22.4580	−	30.9108i	−0.888426	−	1.22281i
$640$	2.22353	+	0.236457i	0.0878928	+	0.00934679i
$641$	9.84695	+	13.5532i	0.388931	+	0.535318i	0.957923	−	0.287025i	$-0.0926664\pi$
$641$	9.84695	+	13.5532i	0.388931	+	0.535318i	−0.568992	+	0.822343i	$0.692666\pi$
$642$	2.69599	−	5.29117i	0.106402	−	0.208826i
$643$	25.3112	+	12.8967i	0.998177	+	0.508596i	0.875173	−	0.483810i	$-0.160747\pi$
$643$	25.3112	+	12.8967i	0.998177	+	0.508596i	0.123004	+	0.992406i	$0.460747\pi$
$644$	−0.629439	+	1.93721i	−0.0248034	+	0.0763369i
$645$	4.49118	−	6.89730i	0.176840	−	0.271581i
$646$			2.48760i			0.0978733i
$647$	−32.7530	+	16.6885i	−1.28765	+	0.656092i	−0.957663	−	0.287892i	$-0.907045\pi$
$647$	−32.7530	+	16.6885i	−1.28765	+	0.656092i	−0.329990	+	0.943984i	$0.607045\pi$
$648$	−0.829354	−	5.23634i	−0.0325801	−	0.205703i
$649$	16.4927	−	11.9826i	0.647394	−	0.470359i
$650$	−7.37468	+	3.26179i	−0.289259	+	0.127938i
$651$	4.94976	+	2.27404i	0.193997	+	0.0891268i
$652$	2.59108	−	2.59108i	0.101474	−	0.101474i
$653$	14.4832	+	2.29391i	0.566771	+	0.0897678i	0.433243	−	0.901277i	$-0.357369\pi$
$653$	14.4832	+	2.29391i	0.566771	+	0.0897678i	0.133528	+	0.991045i	$0.457369\pi$
$654$	3.37323	+	2.45080i	0.131904	+	0.0958337i
$655$	−30.7900	+	24.8708i	−1.20306	+	0.971783i
$656$	−1.17955			−0.0460535
$657$	17.0190	+	17.0190i	0.663976	+	0.663976i
$658$	−3.68089	+	1.87551i	−0.143496	+	0.0731150i
$659$	31.5368	−	10.2469i	1.22850	−	0.399163i	0.378328	−	0.925672i	$-0.376499\pi$
$659$	31.5368	−	10.2469i	1.22850	−	0.399163i	0.850170	+	0.526508i	$0.176499\pi$
$660$	−1.25769	−	2.18455i	−0.0489553	−	0.0850336i
$661$	−7.94136	+	5.76974i	−0.308883	+	0.224417i	−0.731417	−	0.681930i	$-0.761141\pi$
$661$	−7.94136	+	5.76974i	−0.308883	+	0.224417i	0.422534	+	0.906347i	$0.361141\pi$
$662$	5.73089	−	2.92003i	0.222737	−	0.113490i
$663$	0.133502	−	0.842897i	0.00518478	−	0.0327354i
$664$	−4.71382	−	3.42479i	−0.182932	−	0.132908i
$665$	−8.91267	+	5.13118i	−0.345619	+	0.198979i
$666$	−12.7420	+	17.5378i	−0.493742	+	0.679578i
$667$	5.43140	−	0.860249i	0.210305	−	0.0333090i
$668$	−13.2043	−	6.72793i	−0.510890	−	0.260311i
$669$	−1.46460	+	2.01584i	−0.0566246	+	0.0779370i
$670$	0.677215	+	13.2322i	0.0261631	+	0.511204i
$671$	0.588128	−	1.81007i	0.0227044	−	0.0698771i
$672$	−0.966292	−	0.153046i	−0.0372755	−	0.00590386i
$673$	−42.6552	−	21.7339i	−1.64424	−	0.837781i	−0.997156	−	0.0753588i	$-0.975990\pi$
$673$	−42.6552	−	21.7339i	−1.64424	−	0.837781i	−0.647080	−	0.762422i	$-0.724010\pi$
$674$	5.11768	+	15.7506i	0.197126	+	0.606690i
$675$	−14.1871	−	11.5462i	−0.546062	−	0.444412i
$676$	10.3990			0.399961
$677$	−7.95663	−	7.95663i	−0.305798	−	0.305798i	0.537479	−	0.843277i	$-0.319377\pi$
$677$	−7.95663	−	7.95663i	−0.305798	−	0.305798i	−0.843277	+	0.537479i	$0.819377\pi$
$678$	−5.42111	−	10.6395i	−0.208196	−	0.408608i
$679$	6.12037	−	8.42397i	0.234878	−	0.323282i
$680$	−0.0920530	−	1.79864i	−0.00353007	−	0.0689745i
$681$		−	4.54649i		−	0.174222i
$682$	0.387530	+	9.54566i	0.0148393	+	0.365522i
$683$	−14.6140	−	14.6140i	−0.559188	−	0.559188i	0.369888	−	0.929076i	$-0.379396\pi$
$683$	−14.6140	−	14.6140i	−0.559188	−	0.559188i	−0.929076	+	0.369888i	$0.879396\pi$
$684$	4.66262	+	6.41755i	0.178280	+	0.245381i
$685$	−6.85133	+	15.3377i	−0.261776	+	0.586025i
$686$	−5.42190	+	16.6869i	−0.207009	+	0.637108i
$687$	7.73136	−	7.73136i	0.294970	−	0.294970i
$688$	3.96165	−	3.96165i	0.151037	−	0.151037i
$689$	−14.6129	−	4.74801i	−0.556707	−	0.180885i
$690$	1.74148	−	1.00260i	0.0662972	−	0.0381685i
$691$	−5.88360	−	18.1079i	−0.223823	−	0.688856i	−0.998409	−	0.0563873i	$-0.982042\pi$
$691$	−5.88360	−	18.1079i	−0.223823	−	0.688856i	0.774586	−	0.632468i	$-0.217958\pi$
$692$	3.65071	−	23.0497i	0.138779	−	0.876218i
$693$	−2.97932	−	5.84725i	−0.113175	−	0.222119i
$694$	18.1335	−	13.1748i	0.688338	−	0.500107i
$695$	12.7994	+	33.4660i	0.485507	+	1.26944i
$696$	0.816191	+	2.51198i	0.0309376	+	0.0952163i
$697$	0.148619	+	0.938342i	0.00562934	+	0.0355422i
$698$	3.29533	+	20.8059i	0.124730	+	0.787514i
$699$	−4.42442	−	13.6170i	−0.167347	−	0.515041i
$700$	6.25434	−	4.03986i	0.236392	−	0.152693i
$701$	12.3956	−	9.00591i	0.468174	−	0.340148i	−0.328555	−	0.944485i	$-0.606562\pi$
$701$	12.3956	−	9.00591i	0.468174	−	0.340148i	0.796729	+	0.604336i	$0.206562\pi$
$702$	−2.67857	−	5.25699i	−0.101096	−	0.198412i
$703$	4.07801	−	25.7475i	0.153805	−	0.971087i
$704$	−0.530231	−	1.63188i	−0.0199838	−	0.0615039i
$705$	3.93536	+	1.05965i	0.148214	+	0.0399086i
$706$	26.6219	+	8.64997i	1.00193	+	0.325546i
$707$	−0.618216	+	0.618216i	−0.0232504	+	0.0232504i
$708$	−5.51942	+	5.51942i	−0.207432	+	0.207432i
$709$	14.7213	−	45.3076i	0.552871	−	1.70156i	−0.148631	−	0.988893i	$-0.547487\pi$
$709$	14.7213	−	45.3076i	0.552871	−	1.70156i	0.701501	−	0.712668i	$-0.252513\pi$
$710$	−30.3720	−	13.5671i	−1.13984	−	0.509165i
$711$	4.80969	+	6.61998i	0.180378	+	0.248268i
$712$	−2.51899	−	2.51899i	−0.0944031	−	0.0944031i
$713$	−7.60962	+	0.308931i	−0.284983	+	0.0115696i
$714$			0.787979i			0.0294894i
$715$	4.59338	+	4.14610i	0.171783	+	0.155055i
$716$	13.5020	−	18.5839i	0.504594	−	0.694514i
$717$	−5.66789	−	11.1239i	−0.211671	−	0.415428i
$718$	−17.7482	−	17.7482i	−0.662358	−	0.662358i
$719$	−14.8010			−0.551984			−0.275992	−	0.961160i	$-0.589006\pi$
$719$	−14.8010			−0.551984			−0.275992	+	0.961160i	$0.589006\pi$
$720$	−3.60874	−	4.46761i	−0.134490	−	0.166498i
$721$	0.00943516	+	0.0290384i	0.000351384	+	0.00108145i
$722$	8.42970	+	4.29515i	0.313721	+	0.159849i
$723$	−13.4417	−	2.12896i	−0.499903	−	0.0791768i
$724$	0.162558	−	0.500301i	0.00604141	−	0.0185935i
$725$	−17.3835	−	10.0932i	−0.645606	−	0.374853i
$726$	3.11090	−	4.28178i	0.115456	−	0.158912i
$727$	9.38216	+	4.78045i	0.347965	+	0.177297i	0.619234	−	0.785207i	$-0.287443\pi$
$727$	9.38216	+	4.78045i	0.347965	+	0.177297i	−0.271269	+	0.962504i	$0.587443\pi$
$728$	2.37204	−	0.375694i	0.0879136	−	0.0139241i
$729$	−3.76536	+	5.18257i	−0.139458	+	0.191947i
$730$	20.2339	+	5.44823i	0.748889	+	0.201648i
$731$	−3.65069	−	2.65238i	−0.135026	−	0.0981019i
$732$	−0.113998	+	0.719754i	−0.00421348	+	0.0266029i
$733$	−25.1614	+	12.8204i	−0.929356	+	0.473531i	−0.852040	−	0.523476i	$-0.824635\pi$
$733$	−25.1614	+	12.8204i	−0.929356	+	0.473531i	−0.0773158	+	0.997007i	$0.524635\pi$
$734$	30.4605	−	22.1308i	1.12432	−	0.816863i
$735$	6.08885	−	3.50546i	0.224591	−	0.129301i
$736$	1.30091	−	0.422690i	0.0479521	−	0.0155806i
$737$	9.05896	−	4.61577i	0.333691	−	0.170024i
$738$	2.14219	+	2.14219i	0.0788549	+	0.0788549i
$739$	30.3329			1.11581			0.557907	−	0.829903i	$-0.311605\pi$
$739$	30.3329			1.11581			0.557907	+	0.829903i	$0.311605\pi$
$740$	−1.99579	+	18.7674i	−0.0733665	+	0.689904i
$741$	2.64752	+	1.92354i	0.0972593	+	0.0706630i
$742$	14.0123	+	2.21933i	0.514408	+	0.0814743i
$743$	5.80385	−	5.80385i	0.212923	−	0.212923i	−0.592585	−	0.805508i	$-0.701893\pi$
$743$	5.80385	−	5.80385i	0.212923	−	0.212923i	0.805508	+	0.592585i	$0.201893\pi$
$744$	−0.718314	−	3.58673i	−0.0263347	−	0.131496i
$745$	−5.88601	+	9.03940i	−0.215647	+	0.331178i
$746$	−24.6586	+	17.9155i	−0.902816	+	0.655934i
$747$	2.34102	+	14.7806i	0.0856535	+	0.540795i
$748$	−1.23137	+	0.627416i	−0.0450235	+	0.0229406i
$749$		−	13.4600i		−	0.491817i
$750$	−7.25064	−	1.17572i	−0.264756	−	0.0429313i
$751$	−0.332446	+	1.02316i	−0.0121311	+	0.0373358i	−0.956939	−	0.290290i	$-0.906248\pi$
$751$	−0.332446	+	1.02316i	−0.0121311	+	0.0373358i	0.944808	+	0.327625i	$0.106248\pi$
$752$	2.47185	+	1.25947i	0.0901391	+	0.0459282i
$753$	−2.50047	+	4.90744i	−0.0911221	+	0.178837i
$754$	−3.81102	−	5.24542i	−0.138789	−	0.191027i
$755$	−5.38541	−	6.66712i	−0.195995	−	0.242641i
$756$	3.20210	+	4.40731i	0.116459	+	0.160292i
$757$	3.14311	+	19.8448i	0.114238	+	0.721272i	0.976613	+	0.215003i	$0.0689760\pi$
$757$	3.14311	+	19.8448i	0.114238	+	0.721272i	−0.862375	+	0.506270i	$0.831024\pi$
$758$	9.71825	−	19.0731i	0.352983	−	0.692767i
$759$	−1.24749	−	0.906355i	−0.0452811	−	0.0328986i
$760$	6.30568	+	2.81673i	0.228731	+	0.102174i
$761$	15.1063	−	4.90834i	0.547604	−	0.177927i	−0.0221320	−	0.999755i	$-0.507045\pi$
$761$	15.1063	−	4.90834i	0.547604	−	0.177927i	0.569736	+	0.821828i	$0.307045\pi$
$762$	1.26743	−	0.200741i	0.0459140	−	0.00727207i
$763$	9.33431	+	1.47841i	0.337925	+	0.0535220i
$764$	0.874631	+	0.284185i	0.0316431	+	0.0102815i
$765$	−3.09934	+	3.43370i	−0.112057	+	0.124146i
$766$	21.4797	−	6.97919i	0.776094	−	0.252168i
$767$	8.69898	−	17.0727i	0.314102	−	0.616460i
$768$	0.298266	+	0.585380i	0.0107628	+	0.0211231i
$769$			13.2541i			0.477953i	0.971025	+	0.238977i	$0.0768119\pi$
$769$			13.2541i			0.477953i	−0.971025	+	0.238977i	$0.923188\pi$
$770$	−4.78789	−	3.11764i	−0.172544	−	0.112352i
$771$	3.92507	+	1.27533i	0.141358	+	0.0459300i
$772$	9.89827	−	1.56773i	0.356246	−	0.0564239i
$773$	−3.91402	+	24.7121i	−0.140777	+	0.888834i	0.811667	+	0.584121i	$0.198561\pi$
$773$	−3.91402	+	24.7121i	−0.140777	+	0.888834i	−0.952444	+	0.304713i	$0.901439\pi$
$774$	−14.3896			−0.517223
$775$	22.2869	+	16.6822i	0.800568	+	0.599242i
$776$	−6.99243			−0.251014
$777$	1.29176	−	8.15586i	0.0463417	−	0.292590i
$778$	−11.8901	+	1.88320i	−0.426279	+	0.0675160i
$779$	−3.46478	−	1.12578i	−0.124139	−	0.0403351i
$780$	−1.98545	−	1.29283i	−0.0710904	−	0.0462906i
$781$			25.5258i			0.913383i
$782$	−0.500164	−	0.981628i	−0.0178858	−	0.0351029i
$783$	6.67704	−	13.1044i	0.238618	−	0.468314i
$784$	4.54843	−	1.47788i	0.162444	−	0.0527813i
$785$	8.03353	−	8.90018i	0.286729	−	0.317661i
$786$	−11.0600	−	3.59361i	−0.394497	−	0.128180i
$787$	−31.9728	−	5.06399i	−1.13971	−	0.180512i	−0.442082	−	0.896975i	$-0.645760\pi$
$787$	−31.9728	−	5.06399i	−1.13971	−	0.180512i	−0.697625	+	0.716463i	$0.745760\pi$
$788$	−2.41181	+	0.381994i	−0.0859173	+	0.0136080i
$789$	14.5817	−	4.73788i	0.519122	−	0.168673i
$790$	6.50458	+	2.90558i	0.231423	+	0.103376i
$791$	−21.8964	−	15.9087i	−0.778546	−	0.565647i
$792$	−2.00072	+	3.92664i	−0.0710925	+	0.139527i
$793$	−0.279840	−	1.76684i	−0.00993742	−	0.0627424i
$794$	−18.4368	−	25.3761i	−0.654299	−	0.900565i
$795$	−8.79458	−	10.8877i	−0.311912	−	0.386145i
$796$	−13.4815	−	18.5557i	−0.477839	−	0.657690i
$797$	−20.2434	+	39.7299i	−0.717058	+	1.40731i	0.188065	+	0.982157i	$0.439779\pi$
$797$	−20.2434	+	39.7299i	−0.717058	+	1.40731i	−0.905123	+	0.425150i	$0.860221\pi$
$798$	−2.69230	−	1.37180i	−0.0953064	−	0.0485611i
$799$	0.690478	−	2.12507i	0.0244274	−	0.0751797i
$800$	−4.66350	−	1.80327i	−0.164880	−	0.0637553i
$801$			9.14952i			0.323282i
$802$	10.7127	−	5.45838i	0.378278	−	0.192742i
$803$	−2.51541	−	15.8816i	−0.0887667	−	0.560451i
$804$	−3.14941	+	2.28818i	−0.111071	+	0.0806980i
$805$	2.48532	−	3.81682i	0.0875961	−	0.134525i
$806$	4.39779	+	7.82883i	0.154906	+	0.275759i
$807$	−11.8981	+	11.8981i	−0.418834	+	0.418834i
$808$	0.579888	+	0.0918452i	0.0204004	+	0.00323110i
$809$	−13.2331	−	9.61444i	−0.465252	−	0.338026i	0.330336	−	0.943863i	$-0.392838\pi$
$809$	−13.2331	−	9.61444i	−0.465252	−	0.338026i	−0.795588	+	0.605838i	$0.792838\pi$
$810$	−1.25360	+	11.7883i	−0.0440471	+	0.414198i
$811$	36.7176			1.28933			0.644665	−	0.764465i	$-0.276997\pi$
$811$	36.7176			1.28933			0.644665	+	0.764465i	$0.276997\pi$
$812$	4.23319	+	4.23319i	0.148556	+	0.148556i
$813$	−1.88251	+	0.959187i	−0.0660225	+	0.0336402i
$814$	13.7737	−	4.47535i	0.482768	−	0.156861i
$815$	−7.10098	+	4.08816i	−0.248736	+	0.143202i
$816$	0.428096	−	0.311030i	0.0149864	−	0.0108882i
$817$	15.4179	−	7.85583i	0.539406	−	0.274841i
$818$	−4.98165	+	31.4529i	−0.174179	+	1.09972i
$819$	−4.99018	−	3.62558i	−0.174371	−	0.126688i
$820$	2.54683	+	0.685768i	0.0889393	+	0.0239480i
$821$	32.8840	−	45.2610i	1.14766	−	1.57962i	0.398592	−	0.917128i	$-0.369499\pi$
$821$	32.8840	−	45.2610i	1.14766	−	1.57962i	0.749069	−	0.662492i	$-0.230501\pi$
$822$	−4.87484	+	0.772099i	−0.170030	+	0.0269301i
$823$	24.1332	+	12.2965i	0.841231	+	0.428629i	0.820836	−	0.571163i	$-0.193508\pi$
$823$	24.1332	+	12.2965i	0.841231	+	0.428629i	0.0203946	+	0.999792i	$0.493508\pi$
$824$	0.0120519	−	0.0165880i	0.000419847	−	0.000577870i
$825$	1.44549	+	5.44800i	0.0503255	+	0.189675i
$826$	−5.46719	+	16.8263i	−0.190228	+	0.585461i
$827$	31.6800	+	5.01762i	1.10162	+	0.174480i	0.680661	−	0.732599i	$-0.261693\pi$
$827$	31.6800	+	5.01762i	1.10162	+	0.174480i	0.420961	+	0.907079i	$0.361693\pi$
$828$	−3.13024	−	1.59494i	−0.108783	−	0.0554279i
$829$	13.3116	+	40.9689i	0.462331	+	1.42291i	0.862308	+	0.506384i	$0.169018\pi$
$829$	13.3116	+	40.9689i	0.462331	+	1.42291i	−0.399977	+	0.916525i	$0.630982\pi$
$830$	8.18681	+	10.1352i	0.284168	+	0.351799i
$831$	14.7466			0.511554
$832$	−1.14040	−	1.14040i	−0.0395361	−	0.0395361i
$833$	−1.74875	−	3.43212i	−0.0605907	−	0.118916i
$834$	−6.18783	+	8.51682i	−0.214267	+	0.294913i
$835$	24.5988	+	22.2035i	0.851276	+	0.768383i
$836$		−	5.29952i		−	0.183288i
$837$	−11.2942	+	16.9508i	−0.390385	+	0.585906i
$838$	−0.190751	−	0.190751i	−0.00658940	−	0.00658940i
$839$	−0.892405	−	1.22829i	−0.0308092	−	0.0424053i	0.793334	−	0.608786i	$-0.208343\pi$
$839$	−0.892405	−	1.22829i	−0.0308092	−	0.0424053i	−0.824144	+	0.566381i	$0.808343\pi$
$840$	1.99741	+	0.892236i	0.0689170	+	0.0307851i
$841$	−3.96705	+	12.2093i	−0.136795	+	0.421012i
$842$	−10.0383	+	10.0383i	−0.345943	+	0.345943i
$843$	−6.56267	+	6.56267i	−0.226030	+	0.226030i
$844$	1.71007	+	0.555634i	0.0588629	+	0.0191257i
$845$	−22.4531	−	6.04579i	−0.772412	−	0.207982i
$846$	−2.20181	−	6.77649i	−0.0757000	−	0.232981i
$847$	1.87661	−	11.8484i	0.0644809	−	0.407117i
$848$	−4.32519	−	8.48867i	−0.148528	−	0.291502i
$849$	9.32291	−	6.77349i	0.319962	−	0.232466i
$850$	−0.846938	+	3.93707i	−0.0290497	+	0.135040i
$851$	3.56766	+	10.9801i	0.122298	+	0.376394i
$852$	−1.52892	−	9.65324i	−0.0523801	−	0.330715i
$853$	3.38669	+	21.3828i	0.115958	+	0.732131i	0.975325	+	0.220772i	$0.0708578\pi$
$853$	3.38669	+	21.3828i	0.115958	+	0.732131i	−0.859367	+	0.511359i	$0.829142\pi$
$854$	0.510412	+	1.57089i	0.0174659	+	0.0537546i
$855$	−6.33632	−	16.5673i	−0.216697	−	0.566590i
$856$	−7.31259	+	5.31291i	−0.249939	+	0.181591i
$857$	−3.13635	−	6.15542i	−0.107136	−	0.210265i	0.831215	−	0.555952i	$-0.187646\pi$
$857$	−3.13635	−	6.15542i	−0.107136	−	0.210265i	−0.938350	+	0.345686i	$0.887646\pi$
$858$	−0.284409	+	1.79569i	−0.00970956	+	0.0613037i
$859$	−0.460714	−	1.41793i	−0.0157193	−	0.0483792i	0.942889	−	0.333107i	$-0.108097\pi$
$859$	−0.460714	−	1.41793i	−0.0157193	−	0.0483792i	−0.958609	+	0.284727i	$0.908097\pi$
$860$	−10.8571	+	6.25062i	−0.370224	+	0.213144i
$861$	−1.09751	−	0.356604i	−0.0374031	−	0.0121530i
$862$	−0.942863	+	0.942863i	−0.0321141	+	0.0321141i
$863$	11.5590	−	11.5590i	0.393472	−	0.393472i	−0.482451	−	0.875923i	$-0.660253\pi$
$863$	11.5590	−	11.5590i	0.393472	−	0.393472i	0.875923	+	0.482451i	$0.160253\pi$
$864$	1.13049	−	3.47930i	0.0384601	−	0.118368i
$865$	−21.2832	+	47.6456i	−0.723650	+	1.62000i
$866$	−14.2920	−	19.6712i	−0.485661	−	0.668455i
$867$	7.59616	+	7.59616i	0.257979	+	0.257979i
$868$	−5.14146	−	6.50443i	−0.174513	−	0.220775i
$869$		−	5.46669i		−	0.185445i
$870$	−0.301871	−	5.89829i	−0.0102344	−	0.199971i
$871$	5.61700	−	7.73113i	0.190325	−	0.261959i
$872$	−2.88123	−	5.65473i	−0.0975708	−	0.191493i
$873$	12.6990	+	12.6990i	0.429797	+	0.429797i
$874$	4.22468			0.142902
$875$	−15.8529	+	5.08657i	−0.535925	+	0.171957i
$876$	1.90254	+	5.85540i	0.0642807	+	0.197836i
$877$	6.15178	+	3.13449i	0.207731	+	0.105844i	0.554761	−	0.832010i	$-0.312810\pi$
$877$	6.15178	+	3.13449i	0.207731	+	0.105844i	−0.347030	+	0.937854i	$0.612810\pi$
$878$	7.62106	+	1.20706i	0.257198	+	0.0407362i
$879$	−4.47539	+	13.7738i	−0.150951	+	0.464580i
$880$	0.196108	+	3.83177i	0.00661078	+	0.129169i
$881$	2.12446	−	2.92407i	0.0715748	−	0.0985143i	−0.771729	−	0.635952i	$-0.780608\pi$
$881$	2.12446	−	2.92407i	0.0715748	−	0.0985143i	0.843303	+	0.537438i	$0.180608\pi$
$882$	−10.9444	−	5.57647i	−0.368519	−	0.187770i
$883$	25.9445	−	4.10921i	0.873103	−	0.138286i	0.296227	−	0.955118i	$-0.404272\pi$
$883$	25.9445	−	4.10921i	0.873103	−	0.138286i	0.576876	+	0.816832i	$0.304272\pi$
$884$	−0.763512	+	1.05088i	−0.0256797	+	0.0353450i
$885$	15.1262	−	8.70844i	0.508462	−	0.292731i
$886$	−4.50225	−	3.27108i	−0.151256	−	0.109894i
$887$	−0.0497717	+	0.314246i	−0.00167117	+	0.0105514i	−0.988510	−	0.151157i	$-0.951700\pi$
$887$	−0.0497717	+	0.314246i	−0.00167117	+	0.0105514i	0.986839	+	0.161708i	$0.0517002\pi$
$888$	−4.94083	+	2.51748i	−0.165803	+	0.0844810i
$889$	2.35307	−	1.70960i	0.0789194	−	0.0573383i
$890$	3.97442	+	6.90341i	0.133223	+	0.231403i
$891$	8.65161	−	2.81108i	0.289840	−	0.0941746i
$892$	3.37927	−	1.72182i	0.113146	−	0.0576509i
$893$	6.05872	+	6.05872i	0.202747	+	0.202747i
$894$	−3.16932			−0.105998
$895$	−39.9575	+	32.2759i	−1.33563	+	1.07887i
$896$	1.20473	+	0.875286i	0.0402471	+	0.0292412i
$897$	−1.43149	−	0.226726i	−0.0477960	−	0.00757014i
$898$	−21.9380	+	21.9380i	−0.732079	+	0.732079i
$899$	−9.34464	+	20.3399i	−0.311661	+	0.678373i
$900$	5.19448	+	11.7444i	0.173149	+	0.391479i
$901$	−6.20787	+	4.51028i	−0.206814	+	0.150259i
$902$	−0.316614	−	1.99902i	−0.0105421	−	0.0665601i
$903$	4.88383	−	2.48844i	0.162524	−	0.0828100i
$904$			18.1754i			0.604505i
$905$	−0.641855	+	0.985724i	−0.0213360	+	0.0327666i
$906$	0.778144	−	2.39488i	0.0258521	−	0.0795646i
$907$	−7.81696	−	3.98294i	−0.259558	−	0.132251i	0.319370	−	0.947630i	$-0.396529\pi$
$907$	−7.81696	−	3.98294i	−0.259558	−	0.132251i	−0.578928	+	0.815379i	$0.696529\pi$
$908$	−3.14171	+	6.16595i	−0.104261	+	0.204624i
$909$	−0.886339	−	1.21994i	−0.0293980	−	0.0404629i
$910$	−5.34005	−	0.567877i	−0.177021	−	0.0188249i
$911$	19.4870	+	26.8215i	0.645632	+	0.888636i	0.998900	−	0.0468863i	$-0.0149299\pi$
$911$	19.4870	+	26.8215i	0.645632	+	0.888636i	−0.353269	+	0.935522i	$0.614930\pi$
$912$	0.317427	+	2.00416i	0.0105111	+	0.0663642i
$913$	4.53884	−	8.90798i	0.150214	−	0.294811i
$914$	−4.96099	−	3.60437i	−0.164095	−	0.119222i
$915$	0.664593	−	1.48779i	0.0219708	−	0.0491849i
$916$	−15.8278	+	5.14276i	−0.522965	+	0.169922i
$917$	−26.0341	+	4.12339i	−0.859721	+	0.136166i
$918$	−2.91026	−	0.460939i	−0.0960528	−	0.0152133i
$919$	8.84836	+	2.87501i	0.291880	+	0.0948377i	0.451297	−	0.892374i	$-0.350961\pi$
$919$	8.84836	+	2.87501i	0.291880	+	0.0948377i	−0.159417	+	0.987211i	$0.550961\pi$
$920$	−3.05462	+	0.156333i	−0.100708	+	0.00515416i
$921$	4.77893	−	1.55277i	0.157471	−	0.0511655i
$922$	−15.2755	+	29.9799i	−0.503073	+	0.987337i
$923$	10.8921	+	21.3770i	0.358519	+	0.703634i
$924$		−	1.67869i		−	0.0552249i
$925$	15.2203	−	39.3617i	0.500440	−	1.29420i
$926$	−18.6094	−	6.04657i	−0.611544	−	0.198703i
$927$	−0.0520131	+	0.00823807i	−0.00170834	+	0.000270574i
$928$	0.628904	−	3.97075i	0.0206448	−	0.130346i
$929$	9.60086			0.314994			0.157497	−	0.987519i	$-0.449658\pi$
$929$	9.60086			0.314994			0.157497	+	0.987519i	$0.449658\pi$
$930$	−0.534306	+	8.16196i	−0.0175206	+	0.267641i
$931$	14.7710			0.484100
$932$	−3.40918	+	21.5247i	−0.111671	+	0.705065i
$933$	−5.23407	+	0.828995i	−0.171356	+	0.0271401i
$934$	7.36655	+	2.39354i	0.241041	+	0.0783190i
$935$	3.02351	−	0.638796i	0.0988793	−	0.0208909i
$936$			4.14217i			0.135391i
$937$	−22.8787	−	44.9020i	−0.747415	−	1.46688i	−0.879627	−	0.475663i	$-0.842208\pi$
$937$	−22.8787	−	44.9020i	−0.747415	−	1.46688i	0.132212	−	0.991221i	$-0.457792\pi$
$938$	−4.00583	+	7.86188i	−0.130795	+	0.256700i
$939$	−16.4474	+	5.34409i	−0.536741	+	0.174398i
$940$	−4.60490	−	4.15650i	−0.150195	−	0.135570i
$941$	37.3185	+	12.1255i	1.21655	+	0.395280i	0.845823	−	0.533463i	$-0.179110\pi$
$941$	37.3185	+	12.1255i	1.21655	+	0.395280i	0.370724	+	0.928743i	$0.379110\pi$
$942$	3.47934	+	0.551074i	0.113363	+	0.0179550i
$943$	1.59358	−	0.252399i	0.0518942	−	0.00821923i
$944$	11.2994	−	3.67141i	0.367766	−	0.119494i
$945$	−4.35153	−	11.3778i	−0.141555	−	0.370119i
$946$	7.77735	+	5.65057i	0.252863	+	0.183716i
$947$	−21.5507	+	42.2956i	−0.700303	+	1.37442i	0.216975	+	0.976177i	$0.430381\pi$
$947$	−21.5507	+	42.2956i	−0.700303	+	1.37442i	−0.917279	+	0.398246i	$0.869619\pi$
$948$	0.327440	+	2.06737i	0.0106347	+	0.0671452i
$949$	−8.88347	−	12.2270i	−0.288369	−	0.396907i
$950$	−11.9774	−	9.74781i	−0.388599	−	0.316261i
$951$	−3.56934	−	4.91278i	−0.115744	−	0.159308i
$952$	0.544508	−	1.06866i	0.0176476	−	0.0346354i
$953$	36.1864	+	18.4379i	1.17219	+	0.597261i	0.928042	−	0.372476i	$-0.121491\pi$
$953$	36.1864	+	18.4379i	1.17219	+	0.597261i	0.244150	+	0.969738i	$0.421491\pi$
$954$	−7.56133	+	23.2714i	−0.244807	+	0.753439i
$955$	−1.72325	−	1.12210i	−0.0557632	−	0.0363102i
$956$			19.0028i			0.614594i
$957$	−4.03806	+	2.05750i	−0.130532	+	0.0665094i
$958$	−5.97382	−	37.7172i	−0.193005	−	1.21859i
$959$	−9.05049	+	6.57557i	−0.292256	+	0.212336i
$960$	−0.303676	−	1.43734i	−0.00980110	−	0.0463899i
$961$	16.1284	−	26.4740i	0.520271	−	0.854001i
$962$	9.62537	−	9.62537i	0.310334	−	0.310334i
$963$	22.9293	+	3.63164i	0.738886	+	0.117028i
$964$	16.7585	+	12.1758i	0.539755	+	0.392155i
$965$	−22.2834	−	2.36969i	−0.717329	−	0.0762830i
$966$	1.33822			0.0430566
$967$	12.8806	+	12.8806i	0.414212	+	0.414212i	0.883203	−	0.468991i	$-0.155382\pi$
$967$	12.8806	+	12.8806i	0.414212	+	0.414212i	−0.468991	+	0.883203i	$0.655382\pi$
$968$	−7.17778	+	3.65726i	−0.230703	+	0.117549i
$969$	1.55433	−	0.505034i	0.0499324	−	0.0162240i
$970$	15.0978	+	4.06528i	0.484762	+	0.130528i
$971$	19.3604	−	14.0662i	0.621305	−	0.451404i	−0.232072	−	0.972699i	$-0.574551\pi$
$971$	19.3604	−	14.0662i	0.621305	−	0.451404i	0.853377	+	0.521294i	$0.174551\pi$
$972$	−12.8823	+	6.56386i	−0.413200	+	0.210536i
$973$	−3.73273	+	23.5675i	−0.119666	+	0.755540i
$974$	−28.6291	−	20.8003i	−0.917337	−	0.666484i
$975$	3.53528	+	3.94573i	0.113220	+	0.126364i
$976$	0.651967	−	0.897356i	0.0208690	−	0.0287237i
$977$	15.3475	−	2.43081i	0.491011	−	0.0777685i	0.0939806	−	0.995574i	$-0.470041\pi$
$977$	15.3475	−	2.43081i	0.491011	−	0.0777685i	0.397030	+	0.917806i	$0.370041\pi$
$978$	−2.14503	−	1.09295i	−0.0685906	−	0.0349486i
$979$	3.59288	−	4.94517i	0.114829	−	0.158048i
$980$	−10.6800	+	0.546597i	−0.341161	+	0.0174604i
$981$	−5.03698	+	15.5022i	−0.160819	+	0.494949i
$982$	−18.8701	−	2.98874i	−0.602170	−	0.0953744i
$983$	−51.4382	−	26.2091i	−1.64063	−	0.835940i	−0.997537	−	0.0701487i	$-0.977653\pi$
$983$	−51.4382	−	26.2091i	−1.64063	−	0.835940i	−0.643089	−	0.765792i	$-0.722347\pi$
$984$	0.239472	+	0.737019i	0.00763409	+	0.0234953i
$985$	5.42959	+	0.577399i	0.173001	+	0.0183975i
$986$	−3.23801			−0.103119
$987$	1.91918	+	1.91918i	0.0610880	+	0.0610880i
$988$	−2.26137	−	4.43819i	−0.0719438	−	0.141198i
$989$	−4.50453	+	6.19996i	−0.143236	+	0.197147i
$990$	6.60276	−	7.31507i	0.209850	−	0.232488i
$991$		−	26.6169i		−	0.845514i	−0.906243	−	0.422757i	$-0.861062\pi$
$991$		−	26.6169i		−	0.845514i	0.906243	−	0.422757i	$-0.138938\pi$
$992$	−1.50432	+	5.36069i	−0.0477622	+	0.170202i
$993$	−2.98802	−	2.98802i	−0.0948220	−	0.0948220i
$994$	−13.0210	−	17.9219i	−0.413002	−	0.568449i
$995$	18.3208	+	47.9028i	0.580810	+	1.51862i
$996$	−1.18292	+	3.64065i	−0.0374823	+	0.115359i
$997$	−39.0827	+	39.0827i	−1.23776	+	1.23776i	−0.276850	+	0.960913i	$0.589290\pi$
$997$	−39.0827	+	39.0827i	−1.23776	+	1.23776i	−0.960913	+	0.276850i	$0.910710\pi$
$998$	17.1125	−	17.1125i	0.541687	−	0.541687i
$999$	29.3666	+	9.54177i	0.929117	+	0.301888i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	310.2.s.a.263.6	yes	128
5.2	odd	4	inner	310.2.s.a.77.3	✓	128
31.29	odd	10	inner	310.2.s.a.153.3	yes	128
155.122	even	20	inner	310.2.s.a.277.6	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
310.2.s.a.77.3	✓	128	5.2	odd	4	inner
310.2.s.a.153.3	yes	128	31.29	odd	10	inner
310.2.s.a.263.6	yes	128	1.1	even	1	trivial
310.2.s.a.277.6	yes	128	155.122	even	20	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:	\( N \)	\(=\)	\( 310 = 2 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	310.s (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 + 0.987688i) q^{2} +(0.648899 - 0.102776i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.87383 + 1.22015i) q^{5} +0.656988i q^{6} +(0.676049 + 1.32682i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-2.44266 + 0.793669i) q^{9} +O(q^{10})\)	\(q+(-0.156434 + 0.987688i) q^{2} +(0.648899 - 0.102776i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.87383 + 1.22015i) q^{5} +0.656988i q^{6} +(0.676049 + 1.32682i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-2.44266 + 0.793669i) q^{9} +(-1.49826 + 1.65989i) q^{10} +(1.63188 + 0.530231i) q^{11} +(-0.648899 - 0.102776i) q^{12} +(1.59291 - 0.252292i) q^{13} +(-1.41624 + 0.460165i) q^{14} +(1.34133 + 0.599168i) q^{15} +(0.809017 + 0.587785i) q^{16} +(0.365656 - 0.717641i) q^{17} +(-0.401781 - 2.53675i) q^{18} +(1.81540 + 2.49869i) q^{19} +(-1.40507 - 1.73947i) q^{20} +(0.575052 + 0.791491i) q^{21} +(-0.778986 + 1.52885i) q^{22} +(-1.21877 - 0.620993i) q^{23} +(0.203020 - 0.624833i) q^{24} +(2.02248 + 4.57270i) q^{25} +1.61276i q^{26} +(-3.25961 + 1.66086i) q^{27} +(-0.232950 - 1.47079i) q^{28} +(-3.25244 + 2.36304i) q^{29} +(-0.801621 + 1.23108i) q^{30} +(4.85430 - 2.72687i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(1.11342 + 0.176349i) q^{33} +(0.651604 + 0.473418i) q^{34} +(-0.352114 + 3.31111i) q^{35} +2.56837 q^{36} +(-5.96824 - 5.96824i) q^{37} +(-2.75192 + 1.40217i) q^{38} +(1.00771 - 0.327424i) q^{39} +(1.93786 - 1.11566i) q^{40} +(-0.954273 + 0.693320i) q^{41} +(-0.871705 + 0.444156i) q^{42} +(0.876443 - 5.53364i) q^{43} +(-1.38816 - 1.00856i) q^{44} +(-5.54553 - 1.49320i) q^{45} +(0.804005 - 1.10662i) q^{46} +(2.74007 - 0.433984i) q^{47} +(0.585380 + 0.298266i) q^{48} +(2.81109 - 3.86913i) q^{49} +(-4.83279 + 1.28226i) q^{50} +(0.163518 - 0.503257i) q^{51} +(-1.59291 - 0.252292i) q^{52} +(-8.48867 - 4.32519i) q^{53} +(-1.13049 - 3.47930i) q^{54} +(2.41091 + 2.98470i) q^{55} +1.48912 q^{56} +(1.43482 + 1.43482i) q^{57} +(-1.82515 - 3.58206i) q^{58} +(6.98344 - 9.61188i) q^{59} +(-1.09053 - 0.984336i) q^{60} -1.10919i q^{61} +(1.93391 + 5.22111i) q^{62} +(-2.70441 - 2.70441i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(3.29267 + 1.47083i) q^{65} +(-0.348355 + 1.07213i) q^{66} +(4.18986 - 4.18986i) q^{67} +(-0.569523 + 0.569523i) q^{68} +(-0.854680 - 0.277702i) q^{69} +(-3.21527 - 0.865751i) q^{70} +(4.59704 + 14.1482i) q^{71} +(-0.401781 + 2.53675i) q^{72} +(-4.25441 - 8.34976i) q^{73} +(6.82840 - 4.96113i) q^{74} +(1.78235 + 2.75936i) q^{75} +(-0.954414 - 2.93738i) q^{76} +(0.399711 + 2.52368i) q^{77} +(0.165753 + 1.04652i) q^{78} +(-0.984519 - 3.03004i) q^{79} +(0.798777 + 2.08853i) q^{80} +(4.28909 - 3.11621i) q^{81} +(-0.535503 - 1.05098i) q^{82} +(0.911482 - 5.75487i) q^{83} +(-0.302323 - 0.930454i) q^{84} +(1.56081 - 0.898583i) q^{85} +(5.32841 + 1.73130i) q^{86} +(-1.86765 + 1.86765i) q^{87} +(1.21330 - 1.21330i) q^{88} +(1.10084 - 3.38803i) q^{89} +(2.34233 - 5.24367i) q^{90} +(1.41163 + 1.94294i) q^{91} +(0.967219 + 0.967219i) q^{92} +(2.86969 - 2.26836i) q^{93} +2.77422i q^{94} +(0.352993 + 6.89718i) q^{95} +(-0.386168 + 0.531514i) q^{96} +(-3.17450 - 6.23030i) q^{97} +(3.38174 + 3.38174i) q^{98} -4.40697 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 12 q^{7}+O(q^{10}) \) 128 * q + 12 * q^7	\( 128 q + 12 q^{7} + 8 q^{10} + 32 q^{16} + 8 q^{20} - 80 q^{21} - 20 q^{22} - 20 q^{23} + 40 q^{25} + 8 q^{28} - 32 q^{31} + 20 q^{33} - 48 q^{35} - 128 q^{36} + 52 q^{38} + 8 q^{41} - 20 q^{42} + 64 q^{45} - 40 q^{46} - 20 q^{47} - 20 q^{48} + 24 q^{50} - 16 q^{51} - 40 q^{53} - 40 q^{55} + 20 q^{60} - 8 q^{62} + 256 q^{63} - 160 q^{65} + 56 q^{66} + 8 q^{67} - 32 q^{70} + 56 q^{71} - 80 q^{73} - 160 q^{75} + 48 q^{76} - 20 q^{77} + 4 q^{78} - 96 q^{81} + 16 q^{82} - 240 q^{83} + 120 q^{85} + 40 q^{87} - 64 q^{90} + 80 q^{91} - 160 q^{93} + 32 q^{95} - 56 q^{97} - 176 q^{98}+O(q^{100}) \) 128 * q + 12 * q^7 + 8 * q^10 + 32 * q^16 + 8 * q^20 - 80 * q^21 - 20 * q^22 - 20 * q^23 + 40 * q^25 + 8 * q^28 - 32 * q^31 + 20 * q^33 - 48 * q^35 - 128 * q^36 + 52 * q^38 + 8 * q^41 - 20 * q^42 + 64 * q^45 - 40 * q^46 - 20 * q^47 - 20 * q^48 + 24 * q^50 - 16 * q^51 - 40 * q^53 - 40 * q^55 + 20 * q^60 - 8 * q^62 + 256 * q^63 - 160 * q^65 + 56 * q^66 + 8 * q^67 - 32 * q^70 + 56 * q^71 - 80 * q^73 - 160 * q^75 + 48 * q^76 - 20 * q^77 + 4 * q^78 - 96 * q^81 + 16 * q^82 - 240 * q^83 + 120 * q^85 + 40 * q^87 - 64 * q^90 + 80 * q^91 - 160 * q^93 + 32 * q^95 - 56 * q^97 - 176 * q^98

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

Related objects

Downloads

Learn more