LMFDB - Embedded newform 930.2.bk.a.47.9

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(47,930)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(930, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([10, 5, 4]))

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

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

chi := DirichletCharacter("930.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bk (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:	$7.42608738798$
Analytic rank:	$0$
Dimension:	$512$
Relative dimension:	$64$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			47.9
Character	$\chi$	$=$	930.47
Dual form			930.2.bk.a.653.9

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 + 0.987688i) q^{2} +(-1.00125 + 1.41333i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.95036 + 1.09365i) q^{5} +(-1.23929 - 1.21002i) q^{6} +(1.24759 - 0.635678i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.994977 - 2.83020i) q^{9} +O(q^{10})$	\(q+(-0.156434 + 0.987688i) q^{2} +(-1.00125 + 1.41333i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.95036 + 1.09365i) q^{5} +(-1.23929 - 1.21002i) q^{6} +(1.24759 - 0.635678i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.994977 - 2.83020i) q^{9} +(-1.38529 + 1.75527i) q^{10} +(2.91443 + 0.946955i) q^{11} +(1.38899 - 1.03475i) q^{12} +(-1.76897 + 0.280178i) q^{13} +(0.432686 + 1.33167i) q^{14} +(-3.49850 + 1.66147i) q^{15} +(0.809017 + 0.587785i) q^{16} +(4.28557 + 2.18361i) q^{17} +(2.95100 - 0.539987i) q^{18} +(2.47366 + 3.40470i) q^{19} +(-1.51695 - 1.64282i) q^{20} +(-0.350734 + 2.39972i) q^{21} +(-1.39121 + 2.73041i) q^{22} +(1.70569 - 3.34760i) q^{23} +(0.804722 + 1.53376i) q^{24} +(2.60784 + 4.26605i) q^{25} -1.79102i q^{26} +(4.99622 + 1.42752i) q^{27} +(-1.38296 + 0.219040i) q^{28} +(-2.30852 + 1.67724i) q^{29} +(-1.09373 - 3.71534i) q^{30} +(-5.07304 + 2.29440i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-4.25644 + 3.17089i) q^{33} +(-2.82714 + 3.89122i) q^{34} +(3.12846 + 0.124627i) q^{35} +(0.0717003 + 2.99914i) q^{36} +(8.43939 + 8.43939i) q^{37} +(-3.74975 + 1.91059i) q^{38} +(1.37521 - 2.78066i) q^{39} +(1.85990 - 1.24128i) q^{40} +(-3.53639 - 4.86742i) q^{41} +(-2.31531 - 0.721815i) q^{42} +(1.97365 - 12.4611i) q^{43} +(-2.47916 - 1.80122i) q^{44} +(1.15469 - 6.60808i) q^{45} +(3.03956 + 2.20837i) q^{46} +(5.25590 - 0.832453i) q^{47} +(-1.64076 + 0.554881i) q^{48} +(-2.96211 + 4.07699i) q^{49} +(-4.62148 + 1.90838i) q^{50} +(-7.37710 + 3.87056i) q^{51} +(1.76897 + 0.280178i) q^{52} +(-4.55137 + 8.93257i) q^{53} +(-2.19153 + 4.71139i) q^{54} +(4.64855 + 5.03428i) q^{55} -1.40020i q^{56} +(-7.28872 + 0.0871131i) q^{57} +(-1.29546 - 2.54247i) q^{58} +(-9.33961 - 6.78563i) q^{59} +(3.84070 - 0.499058i) q^{60} -7.57471 q^{61} +(-1.47256 - 5.36950i) q^{62} +(-3.04042 - 2.89844i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-3.75656 - 1.38820i) q^{65} +(-2.46600 - 4.70007i) q^{66} +(3.96461 + 3.96461i) q^{67} +(-3.40105 - 3.40105i) q^{68} +(3.02342 + 5.76249i) q^{69} +(-0.612492 + 3.07045i) q^{70} +(-7.66684 + 2.49111i) q^{71} +(-2.97344 - 0.398352i) q^{72} +(0.992005 + 1.94692i) q^{73} +(-9.65570 + 7.01528i) q^{74} +(-8.64043 - 0.585673i) q^{75} +(-1.30048 - 4.00247i) q^{76} +(4.23796 - 0.671227i) q^{77} +(2.53130 + 1.79327i) q^{78} +(-1.58446 + 0.514821i) q^{79} +(0.935044 + 2.03118i) q^{80} +(-7.02004 + 5.63197i) q^{81} +(5.36071 - 2.73142i) q^{82} +(5.40368 + 0.855858i) q^{83} +(1.07512 - 2.17389i) q^{84} +(5.97032 + 8.94577i) q^{85} +(11.9990 + 3.89871i) q^{86} +(-0.0590660 - 4.94203i) q^{87} +(2.16687 - 2.16687i) q^{88} +(3.87270 - 11.9189i) q^{89} +(6.34609 + 2.17420i) q^{90} +(-2.02885 + 1.47404i) q^{91} +(-2.65667 + 2.65667i) q^{92} +(1.83667 - 9.46713i) q^{93} +5.32142i q^{94} +(1.10097 + 9.34575i) q^{95} +(-0.291378 - 1.70737i) q^{96} +(-11.0658 + 5.63832i) q^{97} +(-3.56342 - 3.56342i) q^{98} +(-0.219719 - 9.19061i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 512 q + 8 q^{3} - 12 q^{7}+O(q^{10}) $ 512 * q + 8 * q^3 - 12 * q^7	$ 512 q + 8 q^{3} - 12 q^{7} - 8 q^{10} - 8 q^{12} + 8 q^{15} + 128 q^{16} + 28 q^{22} + 32 q^{25} + 44 q^{27} + 8 q^{28} + 24 q^{30} + 8 q^{31} + 28 q^{33} + 176 q^{37} + 24 q^{42} - 40 q^{45} - 24 q^{46} + 12 q^{48} - 16 q^{51} - 40 q^{55} + 40 q^{57} + 56 q^{58} + 12 q^{60} - 32 q^{61} - 224 q^{63} + 32 q^{66} + 48 q^{67} + 24 q^{70} + 40 q^{73} - 32 q^{75} + 48 q^{76} - 76 q^{78} - 96 q^{81} + 24 q^{85} - 80 q^{87} - 72 q^{88} + 16 q^{90} + 80 q^{91} - 168 q^{93} - 112 q^{97}+O(q^{100}) $ 512 * q + 8 * q^3 - 12 * q^7 - 8 * q^10 - 8 * q^12 + 8 * q^15 + 128 * q^16 + 28 * q^22 + 32 * q^25 + 44 * q^27 + 8 * q^28 + 24 * q^30 + 8 * q^31 + 28 * q^33 + 176 * q^37 + 24 * q^42 - 40 * q^45 - 24 * q^46 + 12 * q^48 - 16 * q^51 - 40 * q^55 + 40 * q^57 + 56 * q^58 + 12 * q^60 - 32 * q^61 - 224 * q^63 + 32 * q^66 + 48 * q^67 + 24 * q^70 + 40 * q^73 - 32 * q^75 + 48 * q^76 - 76 * q^78 - 96 * q^81 + 24 * q^85 - 80 * q^87 - 72 * q^88 + 16 * q^90 + 80 * q^91 - 168 * q^93 - 112 * q^97

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/930\mathbb{Z}\right)^\times$.

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$e\left(\frac{1}{5}\right)$

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
$3$	−1.00125	+	1.41333i	−0.578075	+	0.815984i
$3$	−1.00125	+	1.41333i	−0.578075	+	0.815984i
$4$	−0.951057	−	0.309017i	−0.475528	−	0.154508i
$5$	1.95036	+	1.09365i	0.872229	+	0.489097i
$5$	1.95036	+	1.09365i	0.872229	+	0.489097i
$6$	−1.23929	−	1.21002i	−0.505940	−	0.493989i
$7$	1.24759	−	0.635678i	0.471544	−	0.240264i	−0.202036	−	0.979378i	$-0.564756\pi$
$7$	1.24759	−	0.635678i	0.471544	−	0.240264i	0.673580	+	0.739114i	$0.264756\pi$
$8$	0.453990	−	0.891007i	0.160510	−	0.315018i
$9$	−0.994977	−	2.83020i	−0.331659	−	0.943399i
$10$	−1.38529	+	1.75527i	−0.438068	+	0.555064i
$11$	2.91443	+	0.946955i	0.878733	+	0.285518i	0.713431	−	0.700725i	$-0.247140\pi$
$11$	2.91443	+	0.946955i	0.878733	+	0.285518i	0.165302	+	0.986243i	$0.447140\pi$
$12$	1.38899	−	1.03475i	0.400967	−	0.298706i
$13$	−1.76897	+	0.280178i	−0.490625	+	0.0777073i	−0.396845	−	0.917886i	$-0.629895\pi$
$13$	−1.76897	+	0.280178i	−0.490625	+	0.0777073i	−0.0937796	+	0.995593i	$0.529895\pi$
$14$	0.432686	+	1.33167i	0.115640	+	0.355904i
$15$	−3.49850	+	1.66147i	−0.903309	+	0.428990i
$16$	0.809017	+	0.587785i	0.202254	+	0.146946i
$17$	4.28557	+	2.18361i	1.03940	+	0.529603i	0.888467	−	0.458940i	$-0.151771\pi$
$17$	4.28557	+	2.18361i	1.03940	+	0.529603i	0.150937	+	0.988543i	$0.451771\pi$
$18$	2.95100	−	0.539987i	0.695558	−	0.127276i
$19$	2.47366	+	3.40470i	0.567497	+	0.781093i	0.992255	−	0.124214i	$-0.0396409\pi$
$19$	2.47366	+	3.40470i	0.567497	+	0.781093i	−0.424758	+	0.905307i	$0.639641\pi$
$20$	−1.51695	−	1.64282i	−0.339200	−	0.367346i
$21$	−0.350734	+	2.39972i	−0.0765364	+	0.523663i
$22$	−1.39121	+	2.73041i	−0.296608	+	0.582125i
$23$	1.70569	−	3.34760i	0.355660	−	0.698023i	−0.641977	−	0.766724i	$-0.721885\pi$
$23$	1.70569	−	3.34760i	0.355660	−	0.698023i	0.997637	+	0.0687011i	$0.0218855\pi$
$24$	0.804722	+	1.53376i	0.164263	+	0.313078i
$25$	2.60784	+	4.26605i	0.521568	+	0.853210i
$26$		−	1.79102i		−	0.351248i
$27$	4.99622	+	1.42752i	0.961522	+	0.274727i
$28$	−1.38296	+	0.219040i	−0.261355	+	0.0413946i
$29$	−2.30852	+	1.67724i	−0.428681	+	0.311455i	−0.781121	−	0.624379i	$-0.785352\pi$
$29$	−2.30852	+	1.67724i	−0.428681	+	0.311455i	0.352440	+	0.935834i	$0.385352\pi$
$30$	−1.09373	−	3.71534i	−0.199687	−	0.678325i
$31$	−5.07304	+	2.29440i	−0.911145	+	0.412087i
$31$	−5.07304	+	2.29440i	−0.911145	+	0.412087i
$32$	−0.707107	+	0.707107i	−0.125000	+	0.125000i
$33$	−4.25644	+	3.17089i	−0.740951	+	0.551981i
$34$	−2.82714	+	3.89122i	−0.484850	+	0.667339i
$35$	3.12846	+	0.124627i	0.528807	+	0.0210657i
$36$	0.0717003	+	2.99914i	0.0119501	+	0.499857i
$37$	8.43939	+	8.43939i	1.38743	+	1.38743i	0.830685	+	0.556742i	$0.187949\pi$
$37$	8.43939	+	8.43939i	1.38743	+	1.38743i	0.556742	+	0.830685i	$0.312051\pi$
$38$	−3.74975	+	1.91059i	−0.608290	+	0.309939i
$39$	1.37521	−	2.78066i	0.220210	−	0.445262i
$40$	1.85990	−	1.24128i	0.294076	−	0.196263i
$41$	−3.53639	−	4.86742i	−0.552291	−	0.760164i	0.438030	−	0.898961i	$-0.355676\pi$
$41$	−3.53639	−	4.86742i	−0.552291	−	0.760164i	−0.990321	+	0.138797i	$0.955676\pi$
$42$	−2.31531	−	0.721815i	−0.357260	−	0.111379i
$43$	1.97365	−	12.4611i	0.300979	−	1.90031i	−0.119208	−	0.992869i	$-0.538035\pi$
$43$	1.97365	−	12.4611i	0.300979	−	1.90031i	0.420187	−	0.907438i	$-0.361965\pi$
$44$	−2.47916	−	1.80122i	−0.373748	−	0.271543i
$45$	1.15469	−	6.60808i	0.172131	−	0.985074i
$46$	3.03956	+	2.20837i	0.448158	+	0.325606i
$47$	5.25590	−	0.832453i	0.766652	−	0.121426i	0.239154	−	0.970982i	$-0.423130\pi$
$47$	5.25590	−	0.832453i	0.766652	−	0.121426i	0.527498	+	0.849556i	$0.323130\pi$
$48$	−1.64076	+	0.554881i	−0.236824	+	0.0800902i
$49$	−2.96211	+	4.07699i	−0.423158	+	0.582427i
$50$	−4.62148	+	1.90838i	−0.653576	+	0.269885i
$51$	−7.37710	+	3.87056i	−1.03300	+	0.541987i
$52$	1.76897	+	0.280178i	0.245312	+	0.0388536i
$53$	−4.55137	+	8.93257i	−0.625179	+	1.22698i	0.333569	+	0.942726i	$0.391747\pi$
$53$	−4.55137	+	8.93257i	−0.625179	+	1.22698i	−0.958748	+	0.284257i	$0.908253\pi$
$54$	−2.19153	+	4.71139i	−0.298229	+	0.641139i
$55$	4.64855	+	5.03428i	0.626811	+	0.678823i
$56$		−	1.40020i		−	0.187110i
$57$	−7.28872	+	0.0871131i	−0.965415	+	0.0115384i
$58$	−1.29546	−	2.54247i	−0.170102	−	0.333843i
$59$	−9.33961	−	6.78563i	−1.21591	−	0.883413i	−0.220160	−	0.975464i	$-0.570658\pi$
$59$	−9.33961	−	6.78563i	−1.21591	−	0.883413i	−0.995754	+	0.0920504i	$0.970658\pi$
$60$	3.84070	−	0.499058i	0.495832	−	0.0644281i
$61$	−7.57471			−0.969842			−0.484921	−	0.874558i	$-0.661152\pi$
$61$	−7.57471			−0.969842			−0.484921	+	0.874558i	$0.661152\pi$
$62$	−1.47256	−	5.36950i	−0.187015	−	0.681928i
$63$	−3.04042	−	2.89844i	−0.383056	−	0.365169i
$64$	−0.587785	−	0.809017i	−0.0734732	−	0.101127i
$65$	−3.75656	−	1.38820i	−0.465944	−	0.172184i
$66$	−2.46600	−	4.70007i	−0.303543	−	0.578539i
$67$	3.96461	+	3.96461i	0.484355	+	0.484355i	0.906519	−	0.422164i	$-0.138730\pi$
$67$	3.96461	+	3.96461i	0.484355	+	0.484355i	−0.422164	+	0.906519i	$0.638730\pi$
$68$	−3.40105	−	3.40105i	−0.412438	−	0.412438i
$69$	3.02342	+	5.76249i	0.363977	+	0.693723i
$70$	−0.612492	+	3.07045i	−0.0732067	+	0.366989i
$71$	−7.66684	+	2.49111i	−0.909886	+	0.295640i	−0.726311	−	0.687366i	$-0.758767\pi$
$71$	−7.66684	+	2.49111i	−0.909886	+	0.295640i	−0.183575	+	0.983006i	$0.558767\pi$
$72$	−2.97344	−	0.398352i	−0.350423	−	0.0469462i
$73$	0.992005	+	1.94692i	0.116105	+	0.227870i	0.941745	−	0.336329i	$-0.109185\pi$
$73$	0.992005	+	1.94692i	0.116105	+	0.227870i	−0.825639	+	0.564198i	$0.809185\pi$
$74$	−9.65570	+	7.01528i	−1.12245	+	0.815509i
$75$	−8.64043	−	0.585673i	−0.997711	−	0.0676278i
$76$	−1.30048	−	4.00247i	−0.149175	−	0.459115i
$77$	4.23796	−	0.671227i	0.482961	−	0.0764935i
$78$	2.53130	+	1.79327i	0.286613	+	0.203048i
$79$	−1.58446	+	0.514821i	−0.178265	+	0.0579218i	−0.396789	−	0.917910i	$-0.629876\pi$
$79$	−1.58446	+	0.514821i	−0.178265	+	0.0579218i	0.218524	+	0.975831i	$0.429876\pi$
$80$	0.935044	+	2.03118i	0.104541	+	0.227093i
$81$	−7.02004	+	5.63197i	−0.780005	+	0.625774i
$82$	5.36071	−	2.73142i	0.591991	−	0.301635i
$83$	5.40368	+	0.855858i	0.593130	+	0.0939426i	0.445781	−	0.895142i	$-0.352926\pi$
$83$	5.40368	+	0.855858i	0.593130	+	0.0939426i	0.147349	+	0.989085i	$0.452926\pi$
$84$	1.07512	−	2.17389i	0.117306	−	0.237191i
$85$	5.97032	+	8.94577i	0.647572	+	0.970305i
$86$	11.9990	+	3.89871i	1.29388	+	0.420408i
$87$	−0.0590660	−	4.94203i	−0.00633254	−	0.529841i
$88$	2.16687	−	2.16687i	0.230989	−	0.230989i
$89$	3.87270	−	11.9189i	0.410505	−	1.26340i	−0.505705	−	0.862706i	$-0.668768\pi$
$89$	3.87270	−	11.9189i	0.410505	−	1.26340i	0.916210	−	0.400698i	$-0.131232\pi$
$90$	6.34609	+	2.17420i	0.668936	+	0.229181i
$91$	−2.02885	+	1.47404i	−0.212681	+	0.154522i
$92$	−2.65667	+	2.65667i	−0.276977	+	0.276977i
$93$	1.83667	−	9.46713i	0.190454	−	0.981696i
$94$			5.32142i			0.548862i
$95$	1.10097	+	9.34575i	0.112958	+	0.958853i
$96$	−0.291378	−	1.70737i	−0.0297386	−	0.174257i
$97$	−11.0658	+	5.63832i	−1.12356	+	0.572485i	−0.914164	−	0.405345i	$-0.867151\pi$
$97$	−11.0658	+	5.63832i	−1.12356	+	0.572485i	−0.209401	+	0.977830i	$0.567151\pi$
$98$	−3.56342	−	3.56342i	−0.359960	−	0.359960i
$99$	−0.219719	−	9.19061i	−0.0220826	−	0.923691i
$100$	−1.16192	−	4.86312i	−0.116192	−	0.486312i
$101$	16.2085	−	5.26647i	1.61281	−	0.524033i	0.642578	−	0.766220i	$-0.277865\pi$
$101$	16.2085	−	5.26647i	1.61281	−	0.524033i	0.970230	+	0.242187i	$0.0778648\pi$
$102$	−2.66888	−	7.89177i	−0.264258	−	0.781401i
$103$	−0.515590	+	3.25531i	−0.0508026	+	0.320755i	0.949179	+	0.314736i	$0.101916\pi$
$103$	−0.515590	+	3.25531i	−0.0508026	+	0.320755i	−0.999982	+	0.00601904i	$0.998084\pi$
$104$	−0.553456	+	1.70336i	−0.0542709	+	0.167029i
$105$	−3.30853	+	4.29675i	−0.322879	+	0.419320i
$106$	−8.11060	−	5.89270i	−0.787771	−	0.572349i
$107$	−6.68773	−	3.40757i	−0.646527	−	0.329422i	0.0997938	−	0.995008i	$-0.468182\pi$
$107$	−6.68773	−	3.40757i	−0.646527	−	0.329422i	−0.746321	+	0.665586i	$0.768182\pi$
$108$	−4.31056	−	2.90157i	−0.414783	−	0.279204i
$109$	−10.6590	+	14.6708i	−1.02095	+	1.40521i	−0.109408	+	0.993997i	$0.534896\pi$
$109$	−10.6590	+	14.6708i	−1.02095	+	1.40521i	−0.911538	+	0.411216i	$0.865104\pi$
$110$	−5.69950	+	3.80379i	−0.543426	+	0.362677i
$111$	−20.3776	+	3.47762i	−1.93416	+	0.330082i
$112$	1.38296	+	0.219040i	0.130678	+	0.0206973i
$113$	5.26345	−	2.68186i	0.495144	−	0.252288i	−0.188541	−	0.982065i	$-0.560376\pi$
$113$	5.26345	−	2.68186i	0.495144	−	0.252288i	0.683686	+	0.729777i	$0.260376\pi$
$114$	1.05417	−	7.21261i	0.0987318	−	0.675523i
$115$	6.98783	−	4.66361i	0.651618	−	0.434884i
$116$	2.71383	−	0.881776i	0.251972	−	0.0818708i
$117$	2.55304	+	4.72777i	0.236029	+	0.437082i
$118$	8.16312	−	8.16312i	0.751476	−	0.751476i
$119$	6.73470			0.617369
$120$	−0.107903	+	3.87148i	−0.00985017	+	0.353416i
$121$	−1.30202	−	0.945973i	−0.118365	−	0.0859975i
$122$	1.18495	−	7.48145i	0.107280	−	0.677339i
$123$	10.4201	−	0.124538i	0.939547	−	0.0112292i
$124$	5.53376	−	0.614450i	0.496946	−	0.0551792i
$125$	0.420659	+	11.1724i	0.0376249	+	0.999292i
$126$	3.33838	−	2.54957i	0.297406	−	0.227134i
$127$	−1.12219	−	7.08523i	−0.0995783	−	0.628712i	−0.986116	−	0.166057i	$-0.946897\pi$
$127$	−1.12219	−	7.08523i	−0.0995783	−	0.628712i	0.886538	−	0.462656i	$-0.153103\pi$
$128$	0.891007	−	0.453990i	0.0787546	−	0.0401275i
$129$	15.6355	+	15.2662i	1.37663	+	1.34411i
$130$	1.95876	−	3.49315i	0.171795	−	0.306369i
$131$	6.25897	+	2.03366i	0.546849	+	0.177682i	0.569395	−	0.822064i	$-0.307177\pi$
$131$	6.25897	+	2.03366i	0.546849	+	0.177682i	−0.0225465	+	0.999746i	$0.507177\pi$
$132$	5.02798	−	1.70038i	0.437629	−	0.147999i
$133$	5.25041	+	2.67522i	0.455268	+	0.231971i
$134$	−4.53601	+	3.29560i	−0.391851	+	0.284697i
$135$	8.18323	+	8.24832i	0.704300	+	0.709903i
$136$	3.89122	−	2.82714i	0.333669	−	0.242425i
$137$	9.07985	−	1.43811i	0.775744	−	0.122866i	0.244005	−	0.969774i	$-0.421539\pi$
$137$	9.07985	−	1.43811i	0.775744	−	0.122866i	0.531739	+	0.846908i	$0.321539\pi$
$138$	−6.16451	+	2.08474i	−0.524758	+	0.177465i
$139$	5.09006	−	7.00587i	0.431733	−	0.594230i	−0.536617	−	0.843826i	$-0.680298\pi$
$139$	5.09006	−	7.00587i	0.431733	−	0.594230i	0.968350	+	0.249596i	$0.0802979\pi$
$140$	−2.93683	−	1.08527i	−0.248208	−	0.0917225i
$141$	−4.08597	+	8.26180i	−0.344101	+	0.695769i
$142$	−1.26108	−	7.96214i	−0.105827	−	0.668168i
$143$	−5.42086	−	0.858579i	−0.453315	−	0.0717980i
$144$	0.858595	−	2.87451i	0.0715496	−	0.239543i
$145$	−6.33677	+	0.746502i	−0.526240	+	0.0619936i
$146$	−2.07813	+	0.675226i	−0.171988	+	0.0558821i
$147$	−2.79629	−	8.26853i	−0.230634	−	0.681977i
$148$	−5.41842	−	10.6343i	−0.445392	−	0.874130i
$149$	20.3965			1.67095			0.835475	−	0.549528i	$-0.185193\pi$
$149$	20.3965			1.67095			0.835475	+	0.549528i	$0.185193\pi$
$150$	1.93012	−	8.44243i	0.157594	−	0.689322i
$151$	−1.60146	+	4.92878i	−0.130325	+	0.401098i	−0.994834	−	0.101519i	$-0.967630\pi$
$151$	−1.60146	+	4.92878i	−0.130325	+	0.401098i	0.864509	+	0.502618i	$0.167630\pi$
$152$	4.15663	−	0.658346i	0.337148	−	0.0533989i
$153$	1.91600	−	14.3017i	0.154899	−	1.15622i
$154$			4.29079i			0.345762i
$155$	−12.4036	−	1.07323i	−0.996277	−	0.0862041i
$156$	−2.16717	+	2.21960i	−0.173513	+	0.177711i
$157$	9.77469	+	1.54816i	0.780106	+	0.123557i	0.533772	−	0.845629i	$-0.320774\pi$
$157$	9.77469	+	1.54816i	0.780106	+	0.123557i	0.246334	+	0.969185i	$0.420774\pi$
$158$	−0.260619	−	1.64548i	−0.0207337	−	0.130908i
$159$	−8.06754	−	15.3763i	−0.639798	−	1.21942i
$160$	−2.15245	+	0.605785i	−0.170166	+	0.0478915i
$161$		−	5.26069i		−	0.414601i
$162$	−4.46445	−	7.81465i	−0.350760	−	0.613977i
$163$	−0.0357679	−	0.0182246i	−0.00280156	−	0.00142746i	0.452589	−	0.891719i	$-0.350500\pi$
$163$	−0.0357679	−	0.0182246i	−0.00280156	−	0.00142746i	−0.455391	+	0.890292i	$0.650500\pi$
$164$	1.85919	+	5.72200i	0.145178	+	0.446813i
$165$	−11.7695	+	1.52932i	−0.916252	+	0.119057i
$166$	−1.69064	+	5.20326i	−0.131219	+	0.403851i
$167$	2.93514	−	18.5318i	0.227128	−	1.43403i	−0.565713	−	0.824602i	$-0.691399\pi$
$167$	2.93514	−	18.5318i	0.227128	−	1.43403i	0.792841	−	0.609429i	$-0.208601\pi$
$168$	1.97894	+	1.40196i	0.152678	+	0.108163i
$169$	−9.31297	+	3.02597i	−0.716383	+	0.232767i
$170$	−9.76960	+	4.49739i	−0.749294	+	0.344934i
$171$	7.17475	−	10.3886i	0.548667	−	0.794433i
$172$	−5.72776	+	11.2414i	−0.436738	+	0.857146i
$173$	−2.27637	−	14.3724i	−0.173069	−	1.09271i	−0.909348	−	0.416036i	$-0.863419\pi$
$173$	−2.27637	−	14.3724i	−0.173069	−	1.09271i	0.736279	−	0.676678i	$-0.236581\pi$
$174$	4.89042	+	0.714765i	0.370742	+	0.0541862i
$175$	5.96534	+	3.66452i	0.450938	+	0.277012i
$176$	1.80122	+	2.47916i	0.135772	+	0.186874i
$177$	18.9416	−	6.40577i	1.42374	−	0.481487i
$178$	11.1664	+	5.68955i	0.836955	+	0.426450i
$179$	1.30261	−	4.00902i	0.0973617	−	0.299649i	−0.890500	−	0.454983i	$-0.849645\pi$
$179$	1.30261	−	4.00902i	0.0973617	−	0.299649i	0.987862	+	0.155334i	$0.0496454\pi$
$180$	−3.14018	+	5.92784i	−0.234055	+	0.441835i
$181$	20.7037			1.53889			0.769447	−	0.638711i	$-0.220532\pi$
$181$	20.7037			1.53889			0.769447	+	0.638711i	$0.220532\pi$
$182$	−1.13851	−	2.23446i	−0.0843922	−	0.165629i
$183$	7.58422	−	10.7055i	0.560641	−	0.791376i
$184$	−2.20837	−	3.03956i	−0.162803	−	0.224079i
$185$	7.23011	+	25.6897i	0.531568	+	1.88874i
$186$	9.06326	+	3.29504i	0.664550	+	0.241604i
$187$	10.4222	+	10.4222i	0.762148	+	0.762148i
$188$	−5.25590	−	0.832453i	−0.383326	−	0.0607129i
$189$	7.14066	−	1.39502i	0.519407	−	0.101473i
$190$	−9.40291	−	0.374578i	−0.682159	−	0.0271747i
$191$			11.5853i			0.838282i	0.907921	+	0.419141i	$0.137669\pi$
$191$			11.5853i			0.838282i	−0.907921	+	0.419141i	$0.862331\pi$
$192$	1.73193	−	0.0206996i	0.124991	−	0.00149386i
$193$	−2.46626	−	4.84030i	−0.177525	−	0.348413i	0.785048	−	0.619435i	$-0.212638\pi$
$193$	−2.46626	−	4.84030i	−0.177525	−	0.348413i	−0.962573	+	0.271022i	$0.912638\pi$
$194$	−3.83783	−	11.8116i	−0.275540	−	0.848025i
$195$	5.72324	−	3.91930i	0.409850	−	0.280667i
$196$	4.07699	−	2.96211i	0.291214	−	0.211579i
$197$	0.366137	+	0.718584i	0.0260862	+	0.0511970i	0.903682	−	0.428205i	$-0.140854\pi$
$197$	0.366137	+	0.718584i	0.0260862	+	0.0511970i	−0.877596	+	0.479402i	$0.840854\pi$
$198$	9.11183	+	1.22071i	0.647549	+	0.0867523i
$199$	3.76907	−	5.18768i	0.267182	−	0.367745i	−0.654254	−	0.756275i	$-0.727017\pi$
$199$	3.76907	−	5.18768i	0.267182	−	0.367745i	0.921436	+	0.388530i	$0.127017\pi$
$200$	4.98501	−	0.386858i	0.352494	−	0.0273550i
$201$	−9.57288	+	1.63370i	−0.675219	+	0.115232i
$202$	2.66606	+	16.8328i	0.187583	+	1.18435i
$203$	−1.81390	+	3.55997i	−0.127311	+	0.249861i
$204$	8.21211	−	1.40147i	0.574963	−	0.0981227i
$205$	−1.57397	−	13.3608i	−0.109931	−	0.933161i
$206$	−3.13457	−	1.01848i	−0.218396	−	0.0709612i
$207$	−11.1715	−	1.49665i	−0.776472	−	0.104024i
$208$	−1.59581	−	0.813107i	−0.110650	−	0.0563788i
$209$	3.98521	+	12.2652i	0.275663	+	0.848403i
$210$	−3.72628	−	3.93995i	−0.257138	−	0.271883i
$211$	−13.4228			−0.924065			−0.462033	−	0.886863i	$-0.652880\pi$
$211$	−13.4228			−0.924065			−0.462033	+	0.886863i	$0.652880\pi$
$212$	7.08893	−	7.08893i	0.486869	−	0.486869i
$213$	4.15571	−	13.3300i	0.284745	−	0.913354i
$214$	4.41181	−	6.07233i	0.301585	−	0.415096i
$215$	17.4775	−	22.1453i	1.19196	−	1.51030i
$216$	3.54017	−	3.80358i	0.240878	−	0.258801i
$217$	−4.87056	+	6.08729i	−0.330635	+	0.413232i
$218$	−12.8228	−	12.8228i	−0.868469	−	0.868469i
$219$	−3.74488	−	0.547337i	−0.253056	−	0.0369856i
$220$	−2.86536	−	6.22437i	−0.193182	−	0.419647i
$221$	−8.19286	−	2.66202i	−0.551111	−	0.179067i
$222$	−0.247052	−	20.6707i	−0.0165810	−	1.38733i
$223$	2.34714	−	2.34714i	0.157176	−	0.157176i	−0.624138	−	0.781314i	$-0.714550\pi$
$223$	2.34714	−	2.34714i	0.157176	−	0.157176i	0.781314	+	0.624138i	$0.214550\pi$
$224$	−0.432686	+	1.33167i	−0.0289100	+	0.0889759i
$225$	9.47902	−	11.6253i	0.631935	−	0.775022i
$226$	1.82546	+	5.61819i	0.121428	+	0.373716i
$227$	1.48640	−	9.38473i	0.0986555	−	0.622886i	−0.887972	−	0.459897i	$-0.847886\pi$
$227$	1.48640	−	9.38473i	0.0986555	−	0.622886i	0.986628	−	0.162989i	$-0.0521136\pi$
$228$	6.95891	+	2.16949i	0.460865	+	0.143678i
$229$	−0.461897	−	0.635747i	−0.0305230	−	0.0420113i	0.793483	−	0.608593i	$-0.208266\pi$
$229$	−0.461897	−	0.635747i	−0.0305230	−	0.0420113i	−0.824006	+	0.566581i	$0.808266\pi$
$230$	3.51305	+	7.63135i	0.231644	+	0.503196i
$231$	−3.29462	+	6.66169i	−0.216770	+	0.438307i
$232$	0.446383	+	2.81835i	0.0293065	+	0.185034i
$233$	2.85749	+	18.0415i	0.187200	+	1.18194i	0.884982	+	0.465625i	$0.154170\pi$
$233$	2.85749	+	18.0415i	0.187200	+	1.18194i	−0.697782	+	0.716310i	$0.745830\pi$
$234$	−5.06895	+	1.78203i	−0.331367	+	0.116495i
$235$	11.1613	+	4.12455i	0.728085	+	0.269056i
$236$	6.78563	+	9.33961i	0.441707	+	0.607957i
$237$	0.858834	−	2.75482i	0.0557873	−	0.178945i
$238$	−1.05354	+	6.65179i	−0.0682908	+	0.431171i
$239$	−0.140376	−	0.432032i	−0.00908015	−	0.0279458i	0.946414	−	0.322957i	$-0.104677\pi$
$239$	−0.140376	−	0.432032i	−0.00908015	−	0.0279458i	−0.955494	+	0.295011i	$0.904677\pi$
$240$	−3.80694	−	0.712208i	−0.245737	−	0.0459728i
$241$	−8.88854	+	27.3561i	−0.572561	+	1.76216i	0.0717772	+	0.997421i	$0.477133\pi$
$241$	−8.88854	+	27.3561i	−0.572561	+	1.76216i	−0.644338	+	0.764741i	$0.722867\pi$
$242$	1.13801	−	1.13801i	0.0731539	−	0.0731539i
$243$	−0.930949	−	15.5606i	−0.0597204	−	0.998215i
$244$	7.20398	+	2.34071i	0.461187	+	0.149849i
$245$	−10.2360	+	4.71210i	−0.653954	+	0.301045i
$246$	−1.50705	+	10.3113i	−0.0960863	+	0.657423i
$247$	−5.32976	−	5.32976i	−0.339125	−	0.339125i
$248$	−0.258785	+	5.56175i	−0.0164329	+	0.353171i
$249$	−6.62006	+	6.78022i	−0.419529	+	0.429679i
$250$	−11.1007	−	1.33227i	−0.702069	−	0.0842603i
$251$	−0.252559	+	0.347617i	−0.0159414	+	0.0219414i	−0.816913	−	0.576761i	$-0.804317\pi$
$251$	−0.252559	+	0.347617i	−0.0159414	+	0.0219414i	0.800972	+	0.598702i	$0.204317\pi$
$252$	1.99594	+	3.69612i	0.125732	+	0.232833i
$253$	8.14113	−	8.14113i	0.511829	−	0.511829i
$254$	7.17355			0.450108
$255$	−18.6211	−	0.518994i	−1.16610	−	0.0325007i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	15.8316	+	8.06659i	0.987546	+	0.503180i	0.871675	−	0.490084i	$-0.163034\pi$
$257$	15.8316	+	8.06659i	0.987546	+	0.503180i	0.115871	+	0.993264i	$0.463034\pi$
$258$	−17.5242	+	13.0549i	−1.09101	+	0.812761i
$259$	15.8936	+	5.16415i	0.987581	+	0.320885i
$260$	3.14372	+	2.48109i	0.194965	+	0.153871i
$261$	7.04384	+	4.86475i	0.436002	+	0.301121i
$262$	−2.98774	+	5.86378i	−0.184583	+	0.362265i
$263$	0.794028	+	5.01330i	0.0489619	+	0.309133i	1.00000		5.95769e-5i	$1.89639e-5\pi$
$263$	0.794028	+	5.01330i	0.0489619	+	0.309133i	−0.951038	+	0.309074i	$0.899981\pi$
$264$	0.892901	+	5.23207i	0.0549543	+	0.322012i
$265$	−18.6460	+	12.4441i	−1.14541	+	0.764437i
$266$	−3.46362	+	4.76727i	−0.212368	+	0.292300i
$267$	12.9678	+	17.4073i	0.793615	+	1.06531i
$268$	−2.54544	−	4.99571i	−0.155487	−	0.305161i
$269$	14.3592	−	10.4325i	0.875493	−	0.636083i	−0.0565619	−	0.998399i	$-0.518014\pi$
$269$	14.3592	−	10.4325i	0.875493	−	0.636083i	0.932055	+	0.362316i	$0.118014\pi$
$270$	−9.42691	+	6.79215i	−0.573704	+	0.413357i
$271$	−3.18249	−	9.79470i	−0.193322	−	0.594985i	−0.999992	−	0.00398269i	$-0.998732\pi$
$271$	−3.18249	−	9.79470i	−0.193322	−	0.594985i	0.806670	−	0.591003i	$-0.201268\pi$
$272$	2.18361	+	4.28557i	0.132401	+	0.259851i
$273$	−0.0519102	−	4.34331i	−0.00314175	−	0.262869i
$274$			9.19303i			0.555371i
$275$	3.56061	+	14.9026i	0.214713	+	0.898660i
$276$	−1.09474	−	6.41475i	−0.0658953	−	0.386122i
$277$	−0.0796661	−	0.0126179i	−0.00478667	−	0.000758134i	0.154041	−	0.988065i	$-0.450771\pi$
$277$	−0.0796661	−	0.0126179i	−0.00478667	−	0.000758134i	−0.158827	+	0.987306i	$0.550771\pi$
$278$	6.12335	+	6.12335i	0.367254	+	0.367254i
$279$	11.5412	+	12.0748i	0.690952	+	0.722901i
$280$	1.53134	−	2.73090i	0.0915148	−	0.163203i
$281$	−4.53517	−	6.24212i	−0.270545	−	0.372374i	0.652028	−	0.758195i	$-0.273918\pi$
$281$	−4.53517	−	6.24212i	−0.270545	−	0.372374i	−0.922574	+	0.385821i	$0.873918\pi$
$282$	−7.52089	−	5.32810i	−0.447863	−	0.317283i
$283$	−12.5450	−	24.6210i	−0.745724	−	1.46357i	−0.881179	−	0.472783i	$-0.843250\pi$
$283$	−12.5450	−	24.6210i	−0.745724	−	1.46357i	0.135455	−	0.990784i	$-0.456750\pi$
$284$	8.06139			0.478355
$285$	−14.3109	−	7.80144i	−0.847707	−	0.462117i
$286$	1.69602	−	5.21981i	0.100288	−	0.308654i
$287$	−7.50607	−	3.82453i	−0.443069	−	0.225755i
$288$	2.70481	+	1.29770i	0.159382	+	0.0764675i
$289$	3.60565	+	4.96275i	0.212097	+	0.291927i
$290$	0.253978	−	6.37553i	0.0149141	−	0.374384i
$291$	3.11093	−	21.2850i	0.182366	−	1.24775i
$292$	−0.341822	−	2.15818i	−0.0200036	−	0.126298i
$293$	−7.24684	+	14.2227i	−0.423365	+	0.830901i	0.576539	+	0.817070i	$0.304403\pi$
$293$	−7.24684	+	14.2227i	−0.423365	+	0.830901i	−0.999904	+	0.0138314i	$0.995597\pi$
$294$	8.60417	−	1.46838i	0.501805	−	0.0856377i
$295$	−10.7945	−	23.4488i	−0.628481	−	1.36524i
$296$	11.3510	−	3.68815i	0.659761	−	0.214369i
$297$	13.2093	+	8.89161i	0.766482	+	0.515943i
$298$	−3.19072	+	20.1454i	−0.184834	+	1.16699i
$299$	−2.07939	+	6.39971i	−0.120254	+	0.370105i
$300$	8.03655	+	3.22705i	0.463991	+	0.186314i
$301$	−5.45897	−	16.8010i	−0.314650	−	0.968393i
$302$	−4.61757	−	2.35277i	−0.265711	−	0.135387i
$303$	−8.78563	+	28.1810i	−0.504721	+	1.61896i
$304$			4.20845i			0.241371i
$305$	−14.7734	−	8.28412i	−0.845925	−	0.474347i
$306$	13.8259	+	4.12968i	0.790372	+	0.236078i
$307$	−1.30286	−	8.22592i	−0.0743580	−	0.469478i	−0.996567	−	0.0827869i	$-0.973618\pi$
$307$	−1.30286	−	8.22592i	−0.0743580	−	0.469478i	0.922209	−	0.386691i	$-0.126382\pi$
$308$	−4.23796	−	0.671227i	−0.241480	−	0.0382467i
$309$	−4.08457	−	3.98809i	−0.232363	−	0.226874i
$310$	3.00036	−	12.0830i	0.170409	−	0.686266i
$311$		−	25.5670i		−	1.44977i	−0.688869	−	0.724886i	$-0.741893\pi$
$311$		−	25.5670i		−	1.44977i	0.688869	−	0.724886i	$-0.258107\pi$
$312$	−1.85326	−	2.48771i	−0.104920	−	0.140839i
$313$	6.53724	−	1.03540i	0.369507	−	0.0585241i	0.0310802	−	0.999517i	$-0.490105\pi$
$313$	6.53724	−	1.03540i	0.369507	−	0.0585241i	0.338427	+	0.940993i	$0.390105\pi$
$314$	−3.05820	+	9.41217i	−0.172584	+	0.531159i
$315$	−2.76003	−	8.97817i	−0.155510	−	0.505862i
$316$	1.66599			0.0937195
$317$	−2.44380	−	4.79624i	−0.137258	−	0.269383i	0.812138	−	0.583465i	$-0.198303\pi$
$317$	−2.44380	−	4.79624i	−0.137258	−	0.269383i	−0.949396	+	0.314082i	$0.898303\pi$
$318$	16.4491	−	5.56283i	0.922419	−	0.311948i
$319$	−8.31628	+	2.70212i	−0.465622	+	0.151290i
$320$	−0.261610	−	2.22071i	−0.0146245	−	0.124142i
$321$	11.5121	−	6.04009i	0.642544	−	0.337125i
$322$	5.19593	+	0.822954i	0.289558	+	0.0458614i
$323$	3.16652	+	19.9926i	0.176190	+	1.11242i
$324$	8.41683	−	3.18701i	0.467602	−	0.177056i
$325$	−5.80845	−	6.81586i	−0.322195	−	0.378076i
$326$	0.0235956	−	0.0324765i	0.00130684	−	0.00179871i
$327$	−10.0623	−	29.7539i	−0.556447	−	1.64539i
$328$	−5.94239	+	0.941182i	−0.328114	+	0.0519681i
$329$	6.02803	−	4.37962i	0.332336	−	0.241456i
$330$	0.330660	−	11.8638i	0.0182022	−	0.653081i
$331$	15.9513	−	11.5893i	0.876763	−	0.637005i	−0.0556303	−	0.998451i	$-0.517717\pi$
$331$	15.9513	−	11.5893i	0.876763	−	0.637005i	0.932393	+	0.361446i	$0.117717\pi$
$332$	−4.87473	−	2.48380i	−0.267535	−	0.136316i
$333$	15.4881	−	32.2822i	0.848745	−	1.76905i
$334$	17.8444	+	5.79801i	0.976405	+	0.317253i
$335$	3.39653	+	12.0684i	0.185572	+	0.659365i
$336$	−1.69427	+	1.73526i	−0.0924301	+	0.0946662i
$337$	1.81268	−	0.923606i	0.0987430	−	0.0503120i	−0.403922	−	0.914794i	$-0.632353\pi$
$337$	1.81268	−	0.923606i	0.0987430	−	0.0503120i	0.502664	+	0.864482i	$0.332353\pi$
$338$	−1.53184	−	9.67168i	−0.0833213	−	0.526070i
$339$	−1.47971	+	10.1242i	−0.0803670	+	0.549871i
$340$	−2.91371	−	10.3529i	−0.158018	−	0.561463i
$341$	−16.9577	+	1.88293i	−0.918311	+	0.101966i
$342$	9.13828	+	8.71155i	0.494142	+	0.471066i
$343$	−2.63711	+	16.6501i	−0.142391	+	0.899020i
$344$	−10.2069	−	7.41578i	−0.550322	−	0.399832i
$345$	−0.405403	+	14.5455i	−0.0218262	+	0.783105i
$346$	14.5516			0.782297
$347$	5.70160	−	5.70160i	0.306078	−	0.306078i	−0.537308	−	0.843386i	$-0.680559\pi$
$347$	5.70160	−	5.70160i	0.306078	−	0.306078i	0.843386	+	0.537308i	$0.180559\pi$
$348$	−1.47100	+	4.71840i	−0.0788537	+	0.252933i
$349$	−23.2199	+	7.54459i	−1.24293	+	0.403853i	−0.855383	−	0.517996i	$-0.826678\pi$
$349$	−23.2199	+	7.54459i	−1.24293	+	0.403853i	−0.387549	+	0.921849i	$0.626678\pi$
$350$	−4.55259	+	5.31864i	−0.243346	+	0.284293i
$351$	−9.23813	−	1.12542i	−0.493095	−	0.0600705i
$352$	−2.73041	+	1.39121i	−0.145531	+	0.0741519i
$353$	−30.8423	−	4.88494i	−1.64157	−	0.259999i	−0.733769	−	0.679399i	$-0.762241\pi$
$353$	−30.8423	−	4.88494i	−1.64157	−	0.259999i	−0.907802	+	0.419399i	$0.862241\pi$
$354$	3.36378	+	19.7105i	0.178783	+	1.04760i
$355$	−17.6775	−	3.52630i	−0.938226	−	0.187157i
$356$	−7.36631	+	10.1389i	−0.390414	+	0.537358i
$357$	−6.74315	+	9.51833i	−0.356886	+	0.503763i
$358$	3.75589	+	1.91372i	0.198505	+	0.101143i
$359$	−15.9705	−	11.6032i	−0.842888	−	0.612394i	0.0802877	−	0.996772i	$-0.474416\pi$
$359$	−15.9705	−	11.6032i	−0.842888	−	0.612394i	−0.923176	+	0.384378i	$0.874416\pi$
$360$	−5.36362	−	4.02884i	−0.282688	−	0.212339i
$361$	0.398316	−	1.22589i	0.0209640	−	0.0645206i
$362$	−3.23877	+	20.4488i	−0.170226	+	1.07476i
$363$	2.64062	−	0.893018i	0.138597	−	0.0468713i
$364$	2.38505	−	0.774950i	0.125011	−	0.0406184i
$365$	−0.194486	+	4.88211i	−0.0101798	+	0.255541i
$366$	9.38730	+	9.16556i	0.490682	+	0.479091i
$367$	10.3327	+	10.3327i	0.539363	+	0.539363i	0.923342	−	0.383979i	$-0.125447\pi$
$367$	10.3327	+	10.3327i	0.539363	+	0.539363i	−0.383979	+	0.923342i	$0.625447\pi$
$368$	3.34760	−	1.70569i	0.174506	−	0.0889151i
$369$	−10.2571	+	14.8517i	−0.533965	+	0.773146i
$370$	−26.5044	+	3.12235i	−1.37790	+	0.162323i
$371$			14.0374i			0.728784i
$372$	−4.67228	+	8.43622i	−0.242247	+	0.437398i
$373$	−4.52535	+	4.52535i	−0.234314	+	0.234314i	−0.814491	−	0.580177i	$-0.802983\pi$
$373$	−4.52535	+	4.52535i	−0.234314	+	0.234314i	0.580177	+	0.814491i	$0.302983\pi$
$374$	−11.9243	+	8.66351i	−0.616591	+	0.447979i
$375$	−16.2115	−	10.5919i	−0.837156	−	0.546964i
$376$	1.64441	−	5.06097i	0.0848039	−	0.261000i
$377$	3.61378	−	3.61378i	0.186119	−	0.186119i
$378$	0.260802	+	7.27098i	0.0134142	+	0.373979i
$379$	25.0446	+	8.13747i	1.28645	+	0.417994i	0.870848	−	0.491552i	$-0.163570\pi$
$379$	25.0446	+	8.13747i	1.28645	+	0.417994i	0.415604	+	0.909546i	$0.363570\pi$
$380$	1.84091	−	9.22855i	0.0944365	−	0.473415i
$381$	11.1373	+	5.50810i	0.570583	+	0.282189i
$382$	−11.4427	−	1.81234i	−0.585457	−	0.0927273i
$383$	23.3811	−	11.9133i	1.19472	−	0.608739i	0.260511	−	0.965471i	$-0.416109\pi$
$383$	23.3811	−	11.9133i	1.19472	−	0.608739i	0.934207	+	0.356732i	$0.116109\pi$
$384$	−0.250488	+	1.71384i	−0.0127827	+	0.0874592i
$385$	8.99966	+	3.32573i	0.458665	+	0.169495i
$386$	5.16652	−	1.67870i	0.262969	−	0.0854438i
$387$	−37.2312	+	6.81273i	−1.89257	+	0.346311i
$388$	12.2666	−	1.94283i	0.622740	−	0.0986324i
$389$	−5.87802	−	18.0907i	−0.298027	−	0.917234i	−0.982188	−	0.187902i	$-0.939831\pi$
$389$	−5.87802	−	18.0907i	−0.298027	−	0.917234i	0.684160	−	0.729332i	$-0.260169\pi$
$390$	2.97573	+	6.26589i	0.150682	+	0.317286i
$391$	14.6197	−	10.6218i	0.739350	−	0.537169i
$392$	2.28786	+	4.49017i	0.115554	+	0.226788i
$393$	−9.14105	+	6.80975i	−0.461105	+	0.343506i
$394$	−0.767014	+	0.249218i	−0.0386416	+	0.0125554i
$395$	−3.65330	−	0.728758i	−0.183817	−	0.0366678i
$396$	−2.63109	+	8.80868i	−0.132217	+	0.442653i
$397$	−14.7950	−	14.7950i	−0.742538	−	0.742538i	0.230528	−	0.973066i	$-0.425955\pi$
$397$	−14.7950	−	14.7950i	−0.742538	−	0.742538i	−0.973066	+	0.230528i	$0.925955\pi$
$398$	4.53420	+	4.53420i	0.227279	+	0.227279i
$399$	−9.03795	+	4.74196i	−0.452463	+	0.237395i
$400$	−0.397732	+	4.98416i	−0.0198866	+	0.249208i
$401$	−17.1576	−	23.6155i	−0.856811	−	1.17930i	−0.982320	−	0.187207i	$-0.940056\pi$
$401$	−17.1576	−	23.6155i	−0.856811	−	1.17930i	0.125509	−	0.992092i	$-0.459944\pi$
$402$	−0.116059	−	9.71059i	−0.00578848	−	0.484320i
$403$	8.33122	−	5.48008i	0.415008	−	0.272982i
$404$	−17.0426			−0.847903
$405$	−19.8511	+	3.30689i	−0.986407	+	0.164320i
$406$	−3.23239	−	2.34847i	−0.160421	−	0.116553i
$407$	16.6043	+	32.5877i	0.823043	+	1.61531i
$408$	0.0995611	+	8.33024i	0.00492901	+	0.412409i
$409$		−	38.8911i		−	1.92304i	−0.274730	−	0.961521i	$-0.588589\pi$
$409$		−	38.8911i		−	1.92304i	0.274730	−	0.961521i	$-0.411411\pi$
$410$	13.4426	+	0.535503i	0.663881	+	0.0264466i
$411$	−7.05873	+	14.2727i	−0.348182	+	0.704020i
$412$	1.49630	−	2.93665i	0.0737174	−	0.144679i
$413$	−15.9655	−	2.52868i	−0.785609	−	0.124428i
$414$	3.22583	−	10.7998i	0.158541	−	0.530783i
$415$	9.60312	+	7.57899i	0.471399	+	0.372038i
$416$	1.05274	−	1.44897i	0.0516147	−	0.0710415i
$417$	4.80512	+	14.2086i	0.235308	+	0.695797i
$418$	−12.7376	+	2.01744i	−0.623018	+	0.0986764i
$419$	−2.82705	−	2.05397i	−0.138110	−	0.100343i	0.516585	−	0.856236i	$-0.327203\pi$
$419$	−2.82705	−	2.05397i	−0.138110	−	0.100343i	−0.654695	+	0.755893i	$0.727203\pi$
$420$	4.47437	−	3.06406i	0.218327	−	0.149511i
$421$	−17.0421	−	12.3818i	−0.830581	−	0.603453i	0.0891424	−	0.996019i	$-0.471587\pi$
$421$	−17.0421	−	12.3818i	−0.830581	−	0.603453i	−0.919724	+	0.392566i	$0.871587\pi$
$422$	2.09979	−	13.2576i	0.102216	−	0.645368i
$423$	−7.58551	−	14.0470i	−0.368820	−	0.682987i
$424$	5.89270	+	8.11060i	0.286175	+	0.393886i
$425$	1.86072	+	23.9770i	0.0902579	+	1.16305i
$426$	12.5158	+	6.18982i	0.606390	+	0.299898i
$427$	−9.45012	+	4.81508i	−0.457323	+	0.233018i
$428$	5.30741	+	5.30741i	0.256544	+	0.256544i
$429$	6.64111	−	6.80178i	0.320636	−	0.328393i
$430$	19.1385	+	20.7266i	0.922943	+	0.999527i
$431$	−6.04100	+	8.31473i	−0.290985	+	0.400506i	−0.929334	−	0.369241i	$-0.879618\pi$
$431$	−6.04100	+	8.31473i	−0.290985	+	0.400506i	0.638349	+	0.769747i	$0.279618\pi$
$432$	3.20295	+	4.09159i	0.154102	+	0.196857i
$433$	−8.20781	+	8.20781i	−0.394442	+	0.394442i	−0.876267	−	0.481825i	$-0.839974\pi$
$433$	−8.20781	+	8.20781i	−0.394442	+	0.394442i	0.481825	+	0.876267i	$0.339974\pi$
$434$	−5.25042	−	5.76286i	−0.252028	−	0.276626i
$435$	5.28967	−	9.70335i	0.253620	−	0.465240i
$436$	14.6708	−	10.6590i	0.702606	−	0.510473i
$437$	15.6169	−	2.47347i	0.747057	−	0.118322i
$438$	1.12643	−	3.61315i	0.0538227	−	0.172643i
$439$		−	16.7861i		−	0.801157i	−0.916262	−	0.400579i	$-0.868809\pi$
$439$		−	16.7861i		−	0.801157i	0.916262	−	0.400579i	$-0.131191\pi$
$440$	6.59598	−	1.85638i	0.314451	−	0.0884992i
$441$	14.4859	+	4.32684i	0.689806	+	0.206040i
$442$	3.91089	−	7.67556i	0.186022	−	0.365089i
$443$	−8.89622	+	17.4598i	−0.422672	+	0.829541i	0.577244	+	0.816572i	$0.304128\pi$
$443$	−8.89622	+	17.4598i	−0.422672	+	0.829541i	−0.999916	+	0.0129688i	$0.995872\pi$
$444$	20.4549	+	2.98960i	0.970746	+	0.141880i
$445$	20.5884	−	19.0109i	0.975982	−	0.901202i
$446$	1.95107	+	2.68542i	0.0923860	+	0.127158i
$447$	−20.4221	+	28.8270i	−0.965934	+	1.36347i
$448$	−1.24759	−	0.635678i	−0.0589430	−	0.0300330i
$449$	−24.7651	−	17.9929i	−1.16874	−	0.849139i	−0.177882	−	0.984052i	$-0.556925\pi$
$449$	−24.7651	−	17.9929i	−1.16874	−	0.849139i	−0.990857	+	0.134913i	$0.956925\pi$
$450$	9.99935	+	11.1809i	0.471374	+	0.527073i
$451$	−5.69732	−	17.5346i	−0.268276	−	0.825670i
$452$	−5.83458	+	0.924107i	−0.274436	+	0.0434663i
$453$	−5.36250	−	7.19834i	−0.251952	−	0.338207i
$454$	9.03666	+	2.93619i	0.424112	+	0.137802i
$455$	−5.56908	+	0.656064i	−0.261082	+	0.0307568i
$456$	−3.23139	+	6.53385i	−0.151324	+	0.305975i
$457$	−14.1852	+	27.8400i	−0.663555	+	1.30230i	0.276414	+	0.961039i	$0.410854\pi$
$457$	−14.1852	+	27.8400i	−0.663555	+	1.30230i	−0.939969	+	0.341261i	$0.889146\pi$
$458$	0.700176	−	0.356758i	0.0327171	−	0.0166702i
$459$	18.2945	+	17.0275i	0.853914	+	0.794778i
$460$	−8.08696	+	2.27600i	−0.377056	+	0.106119i
$461$	28.8469	+	9.37294i	1.34354	+	0.436541i	0.890513	−	0.454958i	$-0.150346\pi$
$461$	28.8469	+	9.37294i	1.34354	+	0.436541i	0.453023	+	0.891499i	$0.350346\pi$
$462$	−6.06428	−	4.29617i	−0.282136	−	0.199876i
$463$	2.35679	−	14.8802i	0.109529	−	0.691541i	−0.870422	−	0.492306i	$-0.836154\pi$
$463$	2.35679	−	14.8802i	0.109529	−	0.691541i	0.979952	−	0.199235i	$-0.0638458\pi$
$464$	−2.85349			−0.132470
$465$	13.9359	−	16.4557i	0.646264	−	0.763114i
$466$	−18.2663			−0.846172
$467$	−2.81642	+	17.7822i	−0.130328	+	0.822862i	0.832752	+	0.553647i	$0.186764\pi$
$467$	−2.81642	+	17.7822i	−0.130328	+	0.822862i	−0.963080	+	0.269215i	$0.913236\pi$
$468$	−0.967129	−	5.28531i	−0.0447055	−	0.244314i
$469$	7.46642	+	2.42599i	0.344767	+	0.112022i
$470$	−5.81979	+	10.3787i	−0.268447	+	0.478734i
$471$	−11.9750	+	12.2647i	−0.551779	+	0.565129i
$472$	−10.2861	+	5.24105i	−0.473458	+	0.241239i
$473$	17.5522	−	34.4482i	0.807052	−	1.58393i
$474$	2.58655	+	1.27921i	0.118804	+	0.0587560i
$475$	−8.07371	+	19.4317i	−0.370447	+	0.891587i
$476$	−6.40508	−	2.08114i	−0.293577	−	0.0953888i
$477$	29.8094	+	3.99358i	1.36488	+	0.182853i
$478$	0.448672	−	0.0710627i	0.0205218	−	0.00325033i
$479$	0.448922	+	1.38164i	0.0205118	+	0.0631287i	0.960788	−	0.277282i	$-0.0894338\pi$
$479$	0.448922	+	1.38164i	0.0205118	+	0.0631287i	−0.940277	+	0.340411i	$0.889434\pi$
$480$	1.29898	−	3.64865i	0.0592898	−	0.166537i
$481$	−17.2936	−	12.5645i	−0.788519	−	0.572893i
$482$	−25.6288	−	13.0585i	−1.16736	−	0.594800i
$483$	7.43507	+	5.26730i	0.338308	+	0.239670i
$484$	0.945973	+	1.30202i	0.0429988	+	0.0591827i
$485$	−27.7488	−	1.10541i	−1.26001	−	0.0501941i
$486$	15.5147	+	1.51473i	0.703761	+	0.0687096i
$487$	4.12957	−	8.10473i	0.187129	−	0.367261i	−0.778314	−	0.627875i	$-0.783925\pi$
$487$	4.12957	−	8.10473i	0.187129	−	0.367261i	0.965443	+	0.260614i	$0.0839250\pi$
$488$	−3.43885	+	6.74912i	−0.155669	+	0.305518i
$489$	0.0615701	−	0.0323041i	0.00278430	−	0.00146084i
$490$	−3.05282	−	10.8471i	−0.137912	−	0.490023i
$491$			5.73650i			0.258884i	0.991587	+	0.129442i	$0.0413187\pi$
$491$			5.73650i			0.258884i	−0.991587	+	0.129442i	$0.958681\pi$
$492$	−9.94857	−	3.10154i	−0.448516	−	0.139828i
$493$	−13.5558	+	2.14702i	−0.610521	+	0.0966970i
$494$	6.09790	−	4.43039i	0.274358	−	0.199332i
$495$	9.62281	−	18.1653i	0.432513	−	0.816471i
$496$	−5.45279	−	1.12565i	−0.244837	−	0.0505431i
$497$	−7.98151	+	7.98151i	−0.358020	+	0.358020i
$498$	−5.66114	−	7.59922i	−0.253682	−	0.340529i
$499$	17.7035	−	24.3668i	0.792519	−	1.09081i	−0.201271	−	0.979536i	$-0.564507\pi$
$499$	17.7035	−	24.3668i	0.792519	−	1.09081i	0.993790	−	0.111273i	$-0.0354929\pi$
$500$	3.05240	−	10.7556i	0.136507	−	0.481005i
$501$	23.2526	+	22.7033i	1.03885	+	1.01431i
$502$	−0.303829	−	0.303829i	−0.0135605	−	0.0135605i
$503$	37.9145	−	19.3184i	1.69052	−	0.861365i	0.701666	−	0.712507i	$-0.252440\pi$
$503$	37.9145	−	19.3184i	1.69052	−	0.861365i	0.988859	−	0.148858i	$-0.0475599\pi$
$504$	−3.96285	+	1.39317i	−0.176519	+	0.0620566i
$505$	37.3722	+	7.45498i	1.66304	+	0.331742i
$506$	6.76735	+	9.31445i	0.300845	+	0.414078i
$507$	5.04798	−	16.1920i	0.224189	−	0.719113i
$508$	−1.12219	+	7.08523i	−0.0497891	+	0.314356i
$509$	−4.75271	−	3.45305i	−0.210660	−	0.153054i	0.477452	−	0.878658i	$-0.341560\pi$
$509$	−4.75271	−	3.45305i	−0.210660	−	0.153054i	−0.688112	+	0.725604i	$0.741560\pi$
$510$	3.42559	−	18.3106i	0.151687	−	0.810809i
$511$	2.47523	+	1.79836i	0.109498	+	0.0795546i
$512$	−0.987688	+	0.156434i	−0.0436501	+	0.00691349i
$513$	7.49866	+	20.5419i	0.331074	+	0.906945i
$514$	−10.4439	+	14.3748i	−0.460660	+	0.634044i
$515$	−4.56577	+	5.78516i	−0.201192	+	0.254924i
$516$	−10.1528	−	19.3507i	−0.446950	−	0.851865i
$517$	16.1062	+	2.55098i	0.708352	+	0.112192i
$518$	−7.58688	+	14.8901i	−0.333348	+	0.654233i
$519$	22.5921	+	11.1732i	0.991684	+	0.490449i
$520$	−2.94233	+	2.71689i	−0.129030	+	0.119143i
$521$		−	13.5145i		−	0.592080i	−0.955176	−	0.296040i	$-0.904334\pi$
$521$		−	13.5145i		−	0.592080i	0.955176	−	0.296040i	$-0.0956661\pi$
$522$	−5.90676	+	6.19610i	−0.258532	+	0.271196i
$523$	−6.72644	−	13.2014i	−0.294127	−	0.577257i	0.695899	−	0.718139i	$-0.255006\pi$
$523$	−6.72644	−	13.2014i	−0.294127	−	0.577257i	−0.990026	+	0.140883i	$0.955006\pi$
$524$	−5.32420	−	3.86826i	−0.232589	−	0.168986i
$525$	−11.1520	+	4.76185i	−0.486713	+	0.207824i
$526$	−5.07579			−0.221315
$527$	−26.7510	−	1.24471i	−1.16529	−	0.0542203i
$528$	−5.30734	+	0.0634320i	−0.230972	+	0.00276052i
$529$	5.22200	+	7.18747i	0.227044	+	0.312499i
$530$	−9.37406	−	20.3631i	−0.407183	−	0.884517i
$531$	−9.91196	+	33.1845i	−0.430143	+	1.44008i
$532$	−4.16675	−	4.16675i	−0.180651	−	0.180651i
$533$	7.61952	+	7.61952i	0.330038	+	0.330038i
$534$	−19.2216	+	10.0850i	−0.831799	+	0.436422i
$535$	−9.31681	−	13.9601i	−0.402801	−	0.603546i
$536$	5.33240	−	1.73260i	0.230324	−	0.0748369i
$537$	4.36181	+	5.85507i	0.188226	+	0.252665i
$538$	8.05783	+	15.8144i	0.347398	+	0.681807i
$539$	−12.4936	+	9.07711i	−0.538136	+	0.390979i
$540$	−5.23384	−	10.3734i	−0.225229	−	0.446399i
$541$	10.7148	+	32.9766i	0.460664	+	1.41778i	0.864355	+	0.502882i	$0.167727\pi$
$541$	10.7148	+	32.9766i	0.460664	+	1.41778i	−0.403692	+	0.914895i	$0.632273\pi$
$542$	10.1720	−	1.61108i	0.436923	−	0.0692018i
$543$	−20.7297	+	29.2610i	−0.889595	+	1.25571i
$544$	−4.57440	+	1.48631i	−0.196126	+	0.0637252i
$545$	−36.8338	+	16.9562i	−1.57778	+	0.726326i
$546$	4.29796	+	0.628172i	0.183936	+	0.0268833i
$547$	−25.5918	+	13.0397i	−1.09422	+	0.557535i	−0.905436	−	0.424483i	$-0.860456\pi$
$547$	−25.5918	+	13.0397i	−1.09422	+	0.557535i	−0.188788	+	0.982018i	$0.560456\pi$
$548$	−9.07985	−	1.43811i	−0.387872	−	0.0614329i
$549$	7.53667	+	21.4379i	0.321657	+	0.914949i
$550$	−15.2761	+	1.18549i	−0.651376	+	0.0505496i
$551$	−11.4210	−	3.71091i	−0.486551	−	0.158090i
$552$	6.50702	−	0.0777704i	0.276957	−	0.00331013i
$553$	−1.64949	+	1.64949i	−0.0701433	+	0.0701433i
$554$	0.0249250	−	0.0767114i	0.00105896	−	0.00325916i
$555$	−43.5470	−	15.5034i	−1.84847	−	0.658083i
$556$	−7.00587	+	5.09006i	−0.297115	+	0.215867i
$557$	17.8995	−	17.8995i	0.758424	−	0.758424i	−0.217611	−	0.976035i	$-0.569827\pi$
$557$	17.8995	−	17.8995i	0.758424	−	0.758424i	0.976035	+	0.217611i	$0.0698266\pi$
$558$	−13.7316	+	9.51016i	−0.581305	+	0.402597i
$559$			22.5964i			0.955725i
$560$	2.45773	+	1.93969i	0.103858	+	0.0819668i
$561$	−25.1653	+	4.29469i	−1.06248	+	0.181322i
$562$	6.87472	−	3.50285i	0.289993	−	0.147759i
$563$	−8.60678	−	8.60678i	−0.362733	−	0.362733i	0.502085	−	0.864818i	$-0.332566\pi$
$563$	−8.60678	−	8.60678i	−0.362733	−	0.362733i	−0.864818	+	0.502085i	$0.832566\pi$
$564$	6.43902	−	6.59480i	0.271132	−	0.277691i
$565$	13.1987	+	0.525787i	0.555273	+	0.0221200i
$566$	26.2803	−	8.53900i	1.10465	−	0.358921i
$567$	−5.17800	+	11.4889i	−0.217456	+	0.482487i
$568$	−1.26108	+	7.96214i	−0.0529137	+	0.334084i
$569$	−5.06628	+	15.5924i	−0.212389	+	0.653667i	0.786939	+	0.617030i	$0.211664\pi$
$569$	−5.06628	+	15.5924i	−0.212389	+	0.653667i	−0.999329	+	0.0366367i	$0.988336\pi$
$570$	9.94411	−	12.9143i	0.416513	−	0.540922i
$571$	17.0259	+	12.3700i	0.712512	+	0.517670i	0.883983	−	0.467519i	$-0.154852\pi$
$571$	17.0259	+	12.3700i	0.712512	+	0.517670i	−0.171471	+	0.985189i	$0.554852\pi$
$572$	4.89023	+	2.49169i	0.204471	+	0.104183i
$573$	−16.3738	−	11.5998i	−0.684024	−	0.484590i
$574$	4.95165	−	6.81537i	0.206678	−	0.284468i
$575$	18.7292	−	1.45346i	0.781061	−	0.0606137i
$576$	−1.70485	+	2.46850i	−0.0710352	+	0.102854i
$577$	14.8945	+	2.35906i	0.620068	+	0.0982091i	0.458562	−	0.888663i	$-0.348365\pi$
$577$	14.8945	+	2.35906i	0.620068	+	0.0982091i	0.161506	+	0.986872i	$0.448365\pi$
$578$	−5.46570	+	2.78491i	−0.227343	+	0.115837i
$579$	9.31027	+	1.36075i	0.386922	+	0.0565509i
$580$	6.25731	+	1.24820i	0.259821	+	0.0518288i
$581$	7.28561	−	2.36724i	0.302258	−	0.0982096i
$582$	20.5363	+	6.40234i	0.851257	+	0.265386i
$583$	−21.7234	+	21.7234i	−0.899691	+	0.899691i
$584$	2.18508			0.0904192
$585$	−0.191178	+	12.0130i	−0.00790425	+	0.496677i
$586$	−12.9140	−	9.38255i	−0.533471	−	0.387590i
$587$	−2.53065	+	15.9779i	−0.104451	+	0.659479i	0.878795	+	0.477199i	$0.158348\pi$
$587$	−2.53065	+	15.9779i	−0.104451	+	0.659479i	−0.983247	+	0.182280i	$0.941652\pi$
$588$	0.104314	+	8.72794i	0.00430185	+	0.359934i
$589$	−20.3607	−	11.5966i	−0.838950	−	0.477831i
$590$	24.8487	−	6.99343i	1.02300	−	0.287915i
$591$	−1.38219	−	0.202015i	−0.0568557	−	0.00830980i
$592$	1.86706	+	11.7882i	0.0767358	+	0.484491i
$593$	4.09495	−	2.08648i	0.168160	−	0.0856816i	−0.367885	−	0.929871i	$-0.619918\pi$
$593$	4.09495	−	2.08648i	0.168160	−	0.0856816i	0.536044	+	0.844190i	$0.319918\pi$
$594$	−10.8485	+	11.6557i	−0.445120	+	0.478240i
$595$	13.1351	+	7.36544i	0.538488	+	0.301953i
$596$	−19.3983	−	6.30288i	−0.794584	−	0.258176i
$597$	3.55808	+	10.5211i	0.145622	+	0.430600i
$598$	−5.99563	−	3.05492i	−0.245179	−	0.124925i
$599$	−29.0313	+	21.0925i	−1.18619	+	0.861816i	−0.992856	−	0.119318i	$-0.961929\pi$
$599$	−29.0313	+	21.0925i	−1.18619	+	0.861816i	−0.193331	+	0.981134i	$0.561929\pi$
$600$	−4.44451	+	7.43279i	−0.181446	+	0.303442i
$601$	−14.3918	+	10.4562i	−0.587053	+	0.426519i	−0.841260	−	0.540631i	$-0.818186\pi$
$601$	−14.3918	+	10.4562i	−0.587053	+	0.426519i	0.254207	+	0.967150i	$0.418186\pi$
$602$	17.4481	−	2.76351i	0.711132	−	0.112632i
$603$	7.27594	−	15.1653i	0.296299	−	0.617581i
$604$	3.04615	−	4.19267i	0.123946	−	0.170597i
$605$	−1.50485	−	3.26895i	−0.0611807	−	0.132902i
$606$	−26.4597	−	13.0859i	−1.07485	−	0.531580i
$607$	−1.31651	−	8.31213i	−0.0534355	−	0.337379i	−0.999894	−	0.0145534i	$-0.995367\pi$
$607$	−1.31651	−	8.31213i	−0.0534355	−	0.337379i	0.946459	−	0.322825i	$-0.104633\pi$
$608$	−4.15663	−	0.658346i	−0.168574	−	0.0266995i
$609$	−3.21523	−	6.12807i	−0.130288	−	0.248322i
$610$	10.4932	−	13.2956i	0.424857	−	0.538325i
$611$	−9.06431	+	2.94517i	−0.366703	+	0.119149i
$612$	−6.24168	+	13.0096i	−0.252305	+	0.525883i
$613$	−11.4068	−	22.3872i	−0.460717	−	0.904209i	−0.998144	−	0.0608983i	$-0.980603\pi$
$613$	−11.4068	−	22.3872i	−0.460717	−	0.904209i	0.537427	−	0.843311i	$-0.319397\pi$
$614$	8.32846			0.336109
$615$	20.4591	+	11.1531i	0.824993	+	0.449735i
$616$	1.32593	−	4.08078i	0.0534231	−	0.164419i
$617$	−19.0920	+	3.02387i	−0.768615	+	0.121737i	−0.528414	−	0.848987i	$-0.677213\pi$
$617$	−19.0920	+	3.02387i	−0.768615	+	0.121737i	−0.240200	+	0.970723i	$0.577213\pi$
$618$	4.57796	−	3.41041i	0.184152	−	0.137187i
$619$		−	37.1193i		−	1.49195i	−0.665974	−	0.745975i	$-0.731984\pi$
$619$		−	37.1193i		−	1.49195i	0.665974	−	0.745975i	$-0.268016\pi$
$620$	11.4648	+	4.85361i	0.460439	+	0.194926i
$621$	13.3008	−	14.2904i	0.533741	−	0.573455i
$622$	25.2522	+	3.99956i	1.01252	+	0.160368i
$623$	−2.74507	−	17.3317i	−0.109979	−	0.694380i
$624$	2.74700	−	1.44127i	0.109968	−	0.0576972i
$625$	−11.3983	+	22.2503i	−0.455933	+	0.890014i
$626$			6.61873i			0.264538i
$627$	−21.3249	−	6.64821i	−0.851636	−	0.265504i
$628$	−8.81788	−	4.49293i	−0.351872	−	0.179288i
$629$	17.7393	+	54.5960i	0.707313	+	2.17688i
$630$	9.29940	−	1.32156i	0.370497	−	0.0526520i
$631$	−10.6045	+	32.6373i	−0.422158	+	1.29927i	0.483531	+	0.875327i	$0.339354\pi$
$631$	−10.6045	+	32.6373i	−0.422158	+	1.29927i	−0.905689	+	0.423942i	$0.860646\pi$
$632$	−0.260619	+	1.64548i	−0.0103669	+	0.0654538i
$633$	13.4397	−	18.9708i	0.534179	−	0.754022i
$634$	5.11948	−	1.66342i	0.203321	−	0.0660629i
$635$	5.56011	−	15.0461i	0.220646	−	0.597085i
$636$	2.92114	+	17.1168i	0.115831	+	0.678725i
$637$	4.09760	−	8.04200i	0.162353	−	0.318636i
$638$	−1.36790	−	8.63660i	−0.0541558	−	0.341926i
$639$	14.6787	+	19.2201i	0.580678	+	0.760334i
$640$	2.23430	+	0.0890062i	0.0883183	+	0.00351828i
$641$	−9.40660	−	12.9471i	−0.371538	−	0.511379i	0.581780	−	0.813346i	$-0.302357\pi$
$641$	−9.40660	−	12.9471i	−0.371538	−	0.511379i	−0.953318	+	0.301968i	$0.902357\pi$
$642$	4.16484	+	12.3153i	0.164373	+	0.486045i
$643$	−16.0008	−	8.15282i	−0.631011	−	0.321516i	0.109070	−	0.994034i	$-0.465213\pi$
$643$	−16.0008	−	8.15282i	−0.631011	−	0.321516i	−0.740081	+	0.672518i	$0.765213\pi$
$644$	−1.62564	+	5.00322i	−0.0640593	+	0.197154i
$645$	13.7990	+	46.8745i	0.543336	+	1.84568i
$646$	−20.2418			−0.796405
$647$	−8.93992	−	17.5456i	−0.351464	−	0.689788i	0.645816	−	0.763493i	$-0.276517\pi$
$647$	−8.93992	−	17.5456i	−0.351464	−	0.689788i	−0.997280	+	0.0737057i	$0.976517\pi$
$648$	1.83109	+	8.81176i	0.0719318	+	0.346159i
$649$	−20.7939	−	28.6204i	−0.816234	−	1.12345i
$650$	7.64059	−	4.67070i	0.299688	−	0.183200i
$651$	−3.72664	−	12.9786i	−0.146059	−	0.508672i
$652$	0.0283855	+	0.0283855i	0.00111166	+	0.00111166i
$653$	9.83702	+	1.55803i	0.384952	+	0.0609704i	0.345911	−	0.938267i	$-0.387570\pi$
$653$	9.83702	+	1.55803i	0.384952	+	0.0609704i	0.0390408	+	0.999238i	$0.487570\pi$
$654$	30.9617	−	5.28389i	1.21070	−	0.206617i
$655$	9.98315	+	10.8115i	0.390074	+	0.422442i
$656$		−	6.01646i		−	0.234903i
$657$	4.52314	−	4.74471i	0.176465	−	0.185109i
$658$	3.38271	+	6.63894i	0.131872	+	0.258813i
$659$	−13.2697	−	40.8400i	−0.516915	−	1.59090i	−0.779770	−	0.626066i	$-0.784664\pi$
$659$	−13.2697	−	40.8400i	−0.516915	−	1.59090i	0.262855	−	0.964835i	$-0.415336\pi$
$660$	11.6660	+	2.18250i	0.454099	+	0.0849536i
$661$	12.9341	−	9.39718i	0.503078	−	0.365508i	−0.307113	−	0.951673i	$-0.599363\pi$
$661$	12.9341	−	9.39718i	0.503078	−	0.365508i	0.810192	+	0.586165i	$0.199363\pi$
$662$	8.95128	+	17.5679i	0.347901	+	0.682795i
$663$	11.9654	−	8.91381i	0.464699	−	0.346184i
$664$	3.21579	−	4.42616i	0.124797	−	0.171768i
$665$	7.31444	+	10.9598i	0.283642	+	0.425002i
$666$	29.4618	+	20.3475i	1.14162	+	0.788450i
$667$	1.67711	+	10.5888i	0.0649379	+	0.410002i
$668$	−8.51812	+	16.7177i	−0.329576	+	0.646829i
$669$	0.967189	+	5.66737i	0.0373937	+	0.219113i
$670$	−12.4511	+	1.46680i	−0.481028	+	0.0566675i
$671$	−22.0760	−	7.17291i	−0.852233	−	0.276907i
$672$	−1.44885	−	1.94487i	−0.0558908	−	0.0750249i
$673$	29.5243	+	15.0434i	1.13808	+	0.579880i	0.918385	−	0.395688i	$-0.129494\pi$
$673$	29.5243	+	15.0434i	1.13808	+	0.579880i	0.219694	+	0.975569i	$0.429494\pi$
$674$	0.628670	+	1.93485i	0.0242155	+	0.0745275i
$675$	6.93946	+	25.0369i	0.267100	+	0.963669i
$676$	9.79224			0.376625
$677$	21.6063	−	21.6063i	0.830397	−	0.830397i	−0.157174	−	0.987571i	$-0.550238\pi$
$677$	21.6063	−	21.6063i	0.830397	−	0.830397i	0.987571	+	0.157174i	$0.0502383\pi$
$678$	−9.76808	−	3.04527i	−0.375141	−	0.116953i
$679$	−10.2214	+	14.0686i	−0.392263	+	0.539903i
$680$	10.6812	−	1.25830i	0.409606	−	0.0482535i
$681$	11.7754	+	11.4973i	0.451235	+	0.440576i
$682$	0.793024	−	17.0435i	0.0303665	−	0.652629i
$683$	−22.2292	−	22.2292i	−0.850575	−	0.850575i	0.139628	−	0.990204i	$-0.455409\pi$
$683$	−22.2292	−	22.2292i	−0.850575	−	0.850575i	−0.990204	+	0.139628i	$0.955409\pi$
$684$	−10.0338	+	7.66299i	−0.383653	+	0.293002i
$685$	19.2818	+	7.12538i	0.736720	+	0.272247i
$686$	−16.0326	−	5.20929i	−0.612126	−	0.198892i
$687$	1.36099	−	0.0162663i	0.0519252	−	0.000620597i
$688$	8.92120	−	8.92120i	0.340117	−	0.340117i
$689$	5.54854	−	17.0767i	0.211383	−	0.650569i
$690$	−14.3030	−	2.67584i	−0.544507	−	0.101867i
$691$	−0.345848	−	1.06441i	−0.0131567	−	0.0404921i	0.944263	−	0.329193i	$-0.106777\pi$
$691$	−0.345848	−	1.06441i	−0.0131567	−	0.0404921i	−0.957419	+	0.288701i	$0.906777\pi$
$692$	−2.27637	+	14.3724i	−0.0865345	+	0.546357i
$693$	−6.11638	−	11.3264i	−0.232342	−	0.430255i
$694$	4.73948	+	6.52334i	0.179908	+	0.247622i
$695$	17.5895	−	8.09723i	0.667207	−	0.307145i
$696$	−4.43020	−	2.19101i	−0.167926	−	0.0830499i
$697$	−4.52691	−	28.5818i	−0.171469	−	1.08261i
$698$	−3.81932	−	24.1142i	−0.144563	−	0.912737i
$699$	−28.3595	−	14.0255i	−1.07266	−	0.530495i
$700$	−4.54098	−	5.32856i	−0.171633	−	0.201401i
$701$	3.81141	+	5.24595i	0.143955	+	0.198137i	0.874906	−	0.484293i	$-0.160923\pi$
$701$	3.81141	+	5.24595i	0.143955	+	0.198137i	−0.730951	+	0.682430i	$0.760923\pi$
$702$	2.55673	−	8.94833i	0.0964974	−	0.337733i
$703$	−7.85743	+	49.6099i	−0.296349	+	1.87107i
$704$	−0.946955	−	2.91443i	−0.0356897	−	0.109842i
$705$	−17.0047	+	11.6449i	−0.640433	+	0.438571i
$706$	9.64961	−	29.6984i	0.363168	−	1.11772i
$707$	16.8738	−	16.8738i	0.634604	−	0.634604i
$708$	−19.9941	+	0.238964i	−0.751423	+	0.00898082i
$709$	−2.00921	−	0.652830i	−0.0754573	−	0.0245176i	0.271045	−	0.962567i	$-0.412631\pi$
$709$	−2.00921	−	0.652830i	−0.0754573	−	0.0245176i	−0.346502	+	0.938049i	$0.612631\pi$
$710$	6.24826	−	16.9083i	0.234493	−	0.634556i
$711$	3.03354	+	3.97209i	0.113767	+	0.148965i
$712$	−8.86168	−	8.86168i	−0.332106	−	0.332106i
$713$	−0.972282	+	20.8960i	−0.0364122	+	0.782563i
$714$	−8.34628	−	8.14913i	−0.312352	−	0.304973i
$715$	−9.63366	−	7.60309i	−0.360278	−	0.284339i
$716$	−2.47771	+	3.41028i	−0.0925965	+	0.127448i
$717$	0.751153	+	0.234178i	0.0280523	+	0.00874552i
$718$	13.9587	−	13.9587i	0.520934	−	0.520934i
$719$	46.0175			1.71616			0.858082	−	0.513512i	$-0.171656\pi$
$719$	46.0175			1.71616			0.858082	+	0.513512i	$0.171656\pi$
$720$	4.81829	−	4.66734i	0.179567	−	0.173941i
$721$	1.42608	+	4.38903i	0.0531101	+	0.163456i
$722$	1.14849	+	0.585184i	0.0427423	+	0.0217783i
$723$	−29.7634	−	39.9528i	−1.10691	−	1.48586i
$724$	−19.6904	−	6.39779i	−0.731787	−	0.237772i
$725$	−13.1754	−	5.47428i	−0.489323	−	0.203310i
$726$	0.468939	+	2.74781i	0.0174040	+	0.101981i
$727$	2.84195	−	5.57763i	0.105402	−	0.206863i	−0.832282	−	0.554353i	$-0.812966\pi$
$727$	2.84195	−	5.57763i	0.105402	−	0.206863i	0.937684	+	0.347490i	$0.112966\pi$
$728$	0.392305	+	2.47692i	0.0145398	+	0.0918006i
$729$	22.9244	+	14.2644i	0.849050	+	0.528312i
$730$	−4.79158	−	0.955822i	−0.177344	−	0.0353765i
$731$	35.6685	−	49.0935i	1.31925	−	1.81579i
$732$	−10.5212	+	7.83791i	−0.388875	+	0.289698i
$733$	0.519705	+	1.01998i	0.0191958	+	0.0376738i	0.900405	−	0.435052i	$-0.143270\pi$
$733$	0.519705	+	1.01998i	0.0191958	+	0.0376738i	−0.881210	+	0.472726i	$0.843270\pi$
$734$	−11.8219	+	8.58910i	−0.436354	+	0.317029i
$735$	3.58913	−	19.1848i	0.132387	−	0.707643i
$736$	1.16101	+	3.57321i	0.0427953	+	0.131710i
$737$	7.80027	+	15.3089i	0.287327	+	0.563910i
$738$	−13.0642	−	12.4542i	−0.480901	−	0.458444i
$739$		−	49.2159i		−	1.81044i	−0.424949	−	0.905218i	$-0.639708\pi$
$739$		−	49.2159i		−	1.81044i	0.424949	−	0.905218i	$-0.360292\pi$
$740$	1.06230	−	26.6666i	0.0390509	−	0.980282i
$741$	12.8691	−	2.19624i	0.472760	−	0.0806808i
$742$	−13.8645	−	2.19593i	−0.508984	−	0.0806151i
$743$	35.9767	+	35.9767i	1.31986	+	1.31986i	0.913886	+	0.405971i	$0.133067\pi$
$743$	35.9767	+	35.9767i	1.31986	+	1.31986i	0.405971	+	0.913886i	$0.366933\pi$
$744$	−7.60145	−	5.93447i	−0.278683	−	0.217568i
$745$	39.7807	+	22.3068i	1.45745	+	0.817257i
$746$	−3.76171	−	5.17755i	−0.137726	−	0.189564i
$747$	−2.95429	−	16.1450i	−0.108092	−	0.590716i
$748$	−6.69148	−	13.1328i	−0.244665	−	0.480181i
$749$	−10.5096			−0.384014
$750$	12.9975	−	14.3549i	0.474603	−	0.524168i
$751$	4.44444	−	13.6786i	0.162180	−	0.499139i	−0.836637	−	0.547757i	$-0.815482\pi$
$751$	4.44444	−	13.6786i	0.162180	−	0.499139i	0.998817	+	0.0486185i	$0.0154818\pi$
$752$	4.74142	+	2.41587i	0.172902	+	0.0880978i
$753$	−0.238421	−	0.705001i	−0.00868853	−	0.0256917i
$754$	3.00397	+	4.13461i	0.109398	+	0.150574i
$755$	−8.51380	+	7.86147i	−0.309849	+	0.286108i
$756$	−7.22226	−	0.879840i	−0.262671	−	0.0319995i
$757$	−4.34400	−	27.4269i	−0.157885	−	0.996849i	−0.931645	−	0.363370i	$-0.881626\pi$
$757$	−4.34400	−	27.4269i	−0.157885	−	0.996849i	0.773760	−	0.633479i	$-0.218374\pi$
$758$	−11.9551	+	23.4632i	−0.434229	+	0.852223i
$759$	3.35472	+	19.6574i	0.121769	+	0.713519i
$760$	8.82695	+	3.26191i	0.320187	+	0.118322i
$761$	−4.42026	+	1.43623i	−0.160234	+	0.0520633i	−0.388036	−	0.921644i	$-0.626846\pi$
$761$	−4.42026	+	1.43623i	−0.160234	+	0.0520633i	0.227801	+	0.973708i	$0.426846\pi$
$762$	−7.18255	+	10.1386i	−0.260196	+	0.367281i
$763$	−3.97210	+	25.0789i	−0.143800	+	0.907916i
$764$	3.58005	−	11.0183i	0.129522	−	0.398627i
$765$	19.3780	−	25.7980i	0.700612	−	0.932729i
$766$	8.10898	+	24.9569i	0.292989	+	0.901728i
$767$	18.4227	+	9.38683i	0.665205	+	0.338939i
$768$	−1.65356	−	0.515508i	−0.0596676	−	0.0186018i
$769$		−	47.4813i		−	1.71222i	−0.516793	−	0.856110i	$-0.672874\pi$
$769$		−	47.4813i		−	1.71222i	0.516793	−	0.856110i	$-0.327126\pi$
$770$	−4.69264	+	8.36860i	−0.169111	+	0.301584i
$771$	−27.2521	+	14.2984i	−0.981462	+	0.514946i
$772$	0.849814	+	5.36552i	0.0305855	+	0.193109i
$773$	27.8297	+	4.40779i	1.00097	+	0.158537i	0.635346	−	0.772227i	$-0.280857\pi$
$773$	27.8297	+	4.40779i	1.00097	+	0.158537i	0.365619	+	0.930765i	$0.380857\pi$
$774$	−0.904606	−	37.8386i	−0.0325154	−	1.36008i
$775$	−23.0177	−	15.6584i	−0.826820	−	0.562466i
$776$			12.4195i			0.445833i
$777$	−23.2122	+	17.2922i	−0.832733	+	0.620355i
$778$	18.7875	−	2.97564i	0.673564	−	0.106682i
$779$	7.82430	−	24.0807i	0.280335	−	0.862781i
$780$	−6.65426	+	1.95890i	−0.238261	+	0.0701397i
$781$	−24.7034			−0.883957
$782$	8.20404	+	16.1013i	0.293376	+	0.575782i
$783$	−13.9282	+	5.08437i	−0.497752	+	0.181701i
$784$	−4.79279	+	1.55727i	−0.171171	+	0.0556169i
$785$	17.3711	+	13.7096i	0.620000	+	0.489317i
$786$	−5.29593	−	10.0938i	−0.188900	−	0.360034i
$787$	−20.8858	−	3.30799i	−0.744499	−	0.117917i	−0.227351	−	0.973813i	$-0.573006\pi$
$787$	−20.8858	−	3.30799i	−0.744499	−	0.117917i	−0.517148	+	0.855896i	$0.673006\pi$
$788$	−0.126162	−	0.796557i	−0.00449434	−	0.0283762i
$789$	−7.88045	−	3.89737i	−0.280551	−	0.138750i
$790$	1.29129	−	3.49432i	0.0459420	−	0.124322i
$791$	4.86182	−	6.69172i	0.172866	−	0.237930i
$792$	−8.28864	−	3.97668i	−0.294524	−	0.141305i
$793$	13.3995	−	2.12226i	0.475828	−	0.0753638i
$794$	16.9273	−	12.2984i	0.600726	−	0.436453i
$795$	1.08176	−	38.8126i	0.0383660	−	1.37654i
$796$	−5.18768	+	3.76907i	−0.183872	+	0.133591i
$797$	20.1093	+	10.2462i	0.712307	+	0.362938i	0.772298	−	0.635260i	$-0.219107\pi$
$797$	20.1093	+	10.2462i	0.712307	+	0.362938i	−0.0599912	+	0.998199i	$0.519107\pi$
$798$	−3.26973	−	9.66848i	−0.115747	−	0.342260i
$799$	24.3423	+	7.90930i	0.861169	+	0.279811i
$800$	−4.86057	−	1.17253i	−0.171847	−	0.0414552i
$801$	−37.5862	+	0.898571i	−1.32804	+	0.0317494i
$802$	26.0088	−	13.2521i	0.918401	−	0.467949i
$803$	1.04748	+	6.61354i	0.0369648	+	0.233387i
$804$	9.60919	+	1.40444i	0.338890	+	0.0495308i
$805$	5.75338	−	10.2603i	0.202780	−	0.361627i
$806$	4.10932	+	9.08593i	0.144745	+	0.320038i
$807$	0.367395	+	30.7398i	0.0129329	+	1.08209i
$808$	2.66606	−	16.8328i	0.0937915	−	0.592177i
$809$	−6.79414	−	4.93623i	−0.238869	−	0.173549i	0.461910	−	0.886927i	$-0.347164\pi$
$809$	−6.79414	−	4.93623i	−0.238869	−	0.173549i	−0.700779	+	0.713378i	$0.747164\pi$
$810$	−0.160783	−	20.1240i	−0.00564935	−	0.707084i
$811$	28.2888			0.993355			0.496678	−	0.867935i	$-0.334553\pi$
$811$	28.2888			0.993355			0.496678	+	0.867935i	$0.334553\pi$
$812$	2.82521	−	2.82521i	0.0991455	−	0.0991455i
$813$	17.0296	+	5.30909i	0.597253	+	0.186198i
$814$	−34.7840	+	11.3020i	−1.21918	+	0.396135i
$815$	−0.0498289	−	0.0746624i	−0.00174543	−	0.00261531i
$816$	−8.24326	−	1.20480i	−0.288572	−	0.0421765i
$817$	47.3087	−	24.1050i	1.65512	−	0.843326i
$818$	38.4123	+	6.08391i	1.34306	+	0.212719i
$819$	6.19049	+	4.27539i	0.216313	+	0.149394i
$820$	−2.63179	+	13.1933i	−0.0919061	+	0.460730i
$821$	5.03923	−	6.93590i	0.175870	−	0.242065i	−0.711977	−	0.702203i	$-0.752200\pi$
$821$	5.03923	−	6.93590i	0.175870	−	0.242065i	0.887847	+	0.460138i	$0.152200\pi$
$822$	−12.9927	−	9.20457i	−0.453174	−	0.321046i
$823$	−15.2795	−	7.78528i	−0.532609	−	0.271378i	0.166934	−	0.985968i	$-0.446613\pi$
$823$	−15.2795	−	7.78528i	−0.532609	−	0.271378i	−0.699543	+	0.714590i	$0.746613\pi$
$824$	2.66643	+	1.93727i	0.0928894	+	0.0674881i
$825$	−24.6273	−	9.88900i	−0.857412	−	0.344291i
$826$	4.99510	−	15.3733i	0.173802	−	0.534906i
$827$	−1.51045	+	9.53659i	−0.0525234	+	0.331620i	0.947409	+	0.320024i	$0.103691\pi$
$827$	−1.51045	+	9.53659i	−0.0525234	+	0.331620i	−0.999933	+	0.0115955i	$0.996309\pi$
$828$	10.1622	+	4.87558i	0.353162	+	0.169438i
$829$	6.78803	−	2.20556i	0.235758	−	0.0766024i	−0.188755	−	0.982024i	$-0.560445\pi$
$829$	6.78803	−	2.20556i	0.235758	−	0.0766024i	0.424513	+	0.905422i	$0.360445\pi$
$830$	−8.98794	+	8.29928i	−0.311976	+	0.288072i
$831$	0.0975992	−	0.0999604i	0.00338568	−	0.00346759i
$832$	1.26644	+	1.26644i	0.0439060	+	0.0439060i
$833$	−21.5969	+	11.0042i	−0.748288	+	0.381272i
$834$	−14.7853	+	2.52325i	−0.511974	+	0.0873731i
$835$	25.9919	−	32.9337i	0.899488	−	1.13972i
$836$		−	12.8964i		−	0.446032i
$837$	−28.6213	+	4.22144i	−0.989297	+	0.145914i
$838$	2.47093	−	2.47093i	0.0853568	−	0.0853568i
$839$	−16.6497	+	12.0967i	−0.574810	+	0.417624i	−0.836849	−	0.547433i	$-0.815605\pi$
$839$	−16.6497	+	12.0967i	−0.574810	+	0.417624i	0.262039	+	0.965057i	$0.415605\pi$
$840$	2.32640	+	4.89860i	0.0802683	+	0.169018i
$841$	−6.44536	+	19.8368i	−0.222254	+	0.684027i
$842$	14.8953	−	14.8953i	0.513328	−	0.513328i
$843$	13.3630	−	0.159711i	0.460246	−	0.00550075i
$844$	12.7659	+	4.14788i	0.439419	+	0.142776i
$845$	−21.4731	−	4.28343i	−0.738695	−	0.147355i
$846$	15.0607	−	5.29469i	0.517796	−	0.182035i
$847$	−2.22572	−	0.352519i	−0.0764766	−	0.0121127i
$848$	−8.93257	+	4.55137i	−0.306746	+	0.156295i
$849$	47.3582	+	6.92169i	1.62533	+	0.237552i
$850$	−23.9729	−	1.91302i	−0.822262	−	0.0656160i
$851$	42.6467	−	13.8567i	1.46191	−	0.475003i
$852$	−8.07150	+	11.3934i	−0.276525	+	0.390330i
$853$	−12.4906	+	1.97831i	−0.427669	+	0.0677361i	−0.366559	−	0.930395i	$-0.619464\pi$
$853$	−12.4906	+	1.97831i	−0.427669	+	0.0677361i	−0.0611101	+	0.998131i	$0.519464\pi$
$854$	−3.27747	−	10.0870i	−0.112153	−	0.345171i
$855$	25.3549	−	12.4148i	0.867118	−	0.424576i
$856$	−6.07233	+	4.41181i	−0.207548	+	0.150792i
$857$	−16.3971	−	32.1811i	−0.560114	−	1.09929i	−0.981331	−	0.192326i	$-0.938397\pi$
$857$	−16.3971	−	32.1811i	−0.560114	−	1.09929i	0.421217	−	0.906960i	$-0.361603\pi$
$858$	5.67914	+	7.62338i	0.193883	+	0.260258i
$859$	−47.9276	+	15.5726i	−1.63527	+	0.531331i	−0.975474	−	0.220114i	$-0.929357\pi$
$859$	−47.9276	+	15.5726i	−1.63527	+	0.531331i	−0.659795	+	0.751446i	$0.729357\pi$
$860$	−23.4654	+	15.6606i	−0.800163	+	0.534021i
$861$	12.9208	−	6.77918i	0.440340	−	0.231034i
$862$	−7.26734	−	7.26734i	−0.247526	−	0.247526i
$863$	39.4293	+	39.4293i	1.34219	+	1.34219i	0.893877	+	0.448312i	$0.147975\pi$
$863$	39.4293	+	39.4293i	1.34219	+	1.34219i	0.448312	+	0.893877i	$0.352025\pi$
$864$	−4.54227	+	2.52345i	−0.154531	+	0.0858494i
$865$	11.2787	−	30.5210i	0.383487	−	1.03775i
$866$	−6.82278	−	9.39074i	−0.231847	−	0.319110i
$867$	−10.6242	+	0.126977i	−0.360815	+	0.00431238i
$868$	6.51325	−	4.28427i	0.221074	−	0.145417i
$869$	−5.10529			−0.173185
$870$	8.75640	+	6.74248i	0.296870	+	0.228592i
$871$	−8.12409	−	5.90250i	−0.275274	−	0.199998i
$872$	8.23274	+	16.1577i	0.278796	+	0.547167i
$873$	26.9678	+	25.7085i	0.912722	+	0.870100i
$874$			15.8116i			0.534834i
$875$	7.62687	+	13.6712i	0.257835	+	0.462170i
$876$	3.39246	+	1.67778i	0.114620	+	0.0566869i
$877$	23.4237	−	45.9716i	0.790962	−	1.55235i	−0.0420621	−	0.999115i	$-0.513393\pi$
$877$	23.4237	−	45.9716i	0.790962	−	1.55235i	0.833025	−	0.553236i	$-0.186607\pi$
$878$	16.5794	+	2.62593i	0.559529	+	0.0886207i
$879$	−12.8454	−	24.4827i	−0.433265	−	0.825782i
$880$	0.801682	+	6.80517i	0.0270247	+	0.229402i
$881$	−15.7242	+	21.6425i	−0.529763	+	0.729156i	−0.987094	−	0.160141i	$-0.948805\pi$
$881$	−15.7242	+	21.6425i	−0.529763	+	0.729156i	0.457332	+	0.889296i	$0.348805\pi$
$882$	−6.53966	+	13.6307i	−0.220202	+	0.458970i
$883$	−12.8698	+	2.03838i	−0.433103	+	0.0685968i	−0.369180	−	0.929358i	$-0.620361\pi$
$883$	−12.8698	+	2.03838i	−0.433103	+	0.0685968i	−0.0639234	+	0.997955i	$0.520361\pi$
$884$	6.96926	+	5.06347i	0.234402	+	0.170303i
$885$	43.9488	+	8.22201i	1.47732	+	0.276380i
$886$	−15.8532	−	11.5180i	−0.532598	−	0.386955i
$887$	−1.33484	+	8.42782i	−0.0448194	+	0.282979i	−0.999911	−	0.0133317i	$-0.995756\pi$
$887$	−1.33484	+	8.42782i	−0.0448194	+	0.282979i	0.955092	+	0.296310i	$0.0957563\pi$
$888$	−6.15265	+	19.7354i	−0.206469	+	0.662276i
$889$	−5.90395	−	8.12609i	−0.198012	−	0.272540i
$890$	15.5561	+	23.3088i	0.521441	+	0.781314i
$891$	−25.7926	+	9.76629i	−0.864085	+	0.327183i
$892$	−2.95757	+	1.50696i	−0.0990269	+	0.0504567i
$893$	15.8356	+	15.8356i	0.529918	+	0.529918i
$894$	−25.2773	−	24.6802i	−0.845400	−	0.825431i
$895$	6.92505	−	6.39445i	0.231479	−	0.213743i
$896$	0.823017	−	1.13279i	0.0274951	−	0.0378437i
$897$	−6.96287	−	9.34659i	−0.232483	−	0.312074i
$898$	21.6455	−	21.6455i	0.722321	−	0.722321i
$899$	7.86295	−	13.8054i	0.262244	−	0.460434i
$900$	−12.6075	+	8.12717i	−0.420250	+	0.270906i
$901$	−39.0105	+	28.3428i	−1.29963	+	0.944235i
$902$	18.2099	−	2.88417i	0.606324	−	0.0960323i
$903$	29.2111	+	9.10676i	0.972084	+	0.303054i
$904$		−	5.90731i		−	0.196474i
$905$	40.3797	+	22.6427i	1.34227	+	0.752668i
$906$	7.94859	−	4.17041i	0.264074	−	0.138553i
$907$	−21.4704	+	42.1380i	−0.712912	+	1.39917i	0.195336	+	0.980736i	$0.437420\pi$
$907$	−21.4704	+	42.1380i	−0.712912	+	1.39917i	−0.908248	+	0.418432i	$0.862580\pi$
$908$	−4.31369	+	8.46609i	−0.143155	+	0.280957i
$909$	−31.0322	−	40.6333i	−1.02927	−	1.34772i
$910$	0.223209	−	5.60315i	0.00739930	−	0.185742i
$911$	23.8889	+	32.8803i	0.791475	+	1.08937i	0.993923	+	0.110079i	$0.0351105\pi$
$911$	23.8889	+	32.8803i	0.791475	+	1.08937i	−0.202448	+	0.979293i	$0.564890\pi$
$912$	−5.94790	−	4.21373i	−0.196955	−	0.139530i
$913$	14.9382	+	7.61138i	0.494381	+	0.251900i
$914$	−25.2782	−	18.3657i	−0.836128	−	0.607482i
$915$	26.5001	−	12.5852i	0.876067	−	0.416053i
$916$	0.242834	+	0.747365i	0.00802345	+	0.0246936i
$917$	9.10137	−	1.44152i	0.300554	−	0.0476030i
$918$	−19.6798	+	15.4056i	−0.649530	+	0.508460i
$919$	19.4574	+	6.32209i	0.641840	+	0.208546i	0.611813	−	0.791003i	$-0.290441\pi$
$919$	19.4574	+	6.32209i	0.641840	+	0.208546i	0.0300271	+	0.999549i	$0.490441\pi$
$920$	−0.982897	−	8.34344i	−0.0324051	−	0.275075i
$921$	12.9304	+	6.39488i	0.426071	+	0.210719i
$922$	−13.7702	+	27.0255i	−0.453497	+	0.890038i
$923$	12.8645	−	6.55477i	0.423439	−	0.215753i
$924$	5.19194	−	5.31755i	0.170802	−	0.174935i
$925$	−13.9943	+	58.0114i	−0.460128	+	1.90740i
$926$	14.3283	+	4.65555i	0.470857	+	0.152991i
$927$	9.72616	−	1.77973i	0.319449	−	0.0584541i
$928$	0.446383	−	2.81835i	0.0146533	−	0.0925170i
$929$	−1.52737			−0.0501113			−0.0250557	−	0.999686i	$-0.507976\pi$
$929$	−1.52737			−0.0501113			−0.0250557	+	0.999686i	$0.507976\pi$
$930$	14.0730	+	16.3386i	0.461473	+	0.535764i
$931$	−21.2082			−0.695071
$932$	2.85749	−	18.0415i	0.0936001	−	0.590968i
$933$	36.1345	+	25.5991i	1.18299	+	0.838076i
$934$	−17.1227	−	5.56349i	−0.560271	−	0.182043i
$935$	8.92882	+	31.7254i	0.292004	+	1.03753i
$936$	5.37153	−	0.128417i	0.175574	−	0.00419744i
$937$	−19.6767	+	10.0258i	−0.642810	+	0.327528i	−0.744830	−	0.667254i	$-0.767470\pi$
$937$	−19.6767	+	10.0258i	−0.642810	+	0.327528i	0.102020	+	0.994782i	$0.467470\pi$
$938$	−3.56413	+	6.99499i	−0.116373	+	0.228395i
$939$	−5.08209	+	10.2760i	−0.165848	+	0.335343i
$940$	−9.34051	−	7.37173i	−0.304654	−	0.240439i
$941$	−16.1980	−	5.26305i	−0.528039	−	0.171570i	0.0328513	−	0.999460i	$-0.489541\pi$
$941$	−16.1980	−	5.26305i	−0.528039	−	0.171570i	−0.560891	+	0.827890i	$0.689541\pi$
$942$	−10.2404	−	13.7462i	−0.333651	−	0.447876i
$943$	−22.3262	+	3.53612i	−0.727040	+	0.115152i
$944$	−3.56742	−	10.9794i	−0.116109	−	0.357348i
$945$	15.4526	+	5.08861i	0.502672	+	0.165533i
$946$	31.2783	+	22.7250i	1.01694	+	0.738853i
$947$	−20.8584	−	10.6279i	−0.677808	−	0.345361i	0.0809636	−	0.996717i	$-0.474200\pi$
$947$	−20.8584	−	10.6279i	−0.677808	−	0.345361i	−0.758772	+	0.651357i	$0.774200\pi$
$948$	−1.66809	+	2.35459i	−0.0541769	+	0.0764736i
$949$	−2.30031	−	3.16611i	−0.0746713	−	0.102776i
$950$	−17.9294	−	11.0141i	−0.581708	−	0.357345i
$951$	9.22551	+	1.34836i	0.299158	+	0.0437237i
$952$	3.05749	−	6.00066i	0.0990939	−	0.194483i
$953$	18.3282	−	35.9712i	0.593710	−	1.16522i	−0.377280	−	0.926099i	$-0.623140\pi$
$953$	18.3282	−	35.9712i	0.593710	−	1.16522i	0.970990	−	0.239122i	$-0.0768595\pi$
$954$	−8.60764	+	28.8177i	−0.278683	+	0.933008i
$955$	−12.6703	+	22.5955i	−0.410001	+	0.731174i
$956$			0.454265i			0.0146920i
$957$	4.50774	−	14.4591i	0.145714	−	0.467397i
$958$	−1.43486	+	0.227259i	−0.0463581	+	0.00734240i
$959$	10.4137	−	7.56602i	0.336277	−	0.244320i
$960$	3.40053	+	1.85376i	0.109752	+	0.0598298i
$961$	20.4714	−	23.2792i	0.660369	−	0.750941i
$962$	15.1151	−	15.1151i	0.487332	−	0.487332i
$963$	−2.98995	+	22.3181i	−0.0963500	+	0.719189i
$964$	16.9070	−	23.2705i	0.544538	−	0.749492i
$965$	0.483517	−	12.1376i	0.0155650	−	0.390723i
$966$	−6.36555	+	6.51955i	−0.204808	+	0.209763i
$967$	−5.75165	−	5.75165i	−0.184961	−	0.184961i	0.608553	−	0.793513i	$-0.291750\pi$
$967$	−5.75165	−	5.75165i	−0.184961	−	0.184961i	−0.793513	+	0.608553i	$0.791750\pi$
$968$	−1.43397	+	0.730646i	−0.0460896	+	0.0234838i
$969$	−31.4266	−	15.5424i	−1.00957	−	0.499294i
$970$	5.43266	−	27.2342i	0.174432	−	0.874438i
$971$	3.37330	+	4.64294i	0.108254	+	0.148999i	0.859707	−	0.510788i	$-0.170646\pi$
$971$	3.37330	+	4.64294i	0.108254	+	0.148999i	−0.751452	+	0.659787i	$0.770646\pi$
$972$	−3.92312	+	15.0867i	−0.125834	+	0.483907i
$973$	1.89682	−	11.9761i	0.0608094	−	0.383935i
$974$	7.35894	+	5.34659i	0.235796	+	0.171316i
$975$	15.4488	−	1.38481i	0.494756	−	0.0443496i
$976$	−6.12807	−	4.45230i	−0.196155	−	0.142515i
$977$	28.5869	−	4.52772i	0.914576	−	0.144855i	0.318630	−	0.947879i	$-0.396777\pi$
$977$	28.5869	−	4.52772i	0.914576	−	0.144855i	0.595946	+	0.803024i	$0.296777\pi$
$978$	0.0222747	+	0.0658655i	0.000712267	+	0.00210615i
$979$	22.5734	−	31.0696i	0.721449	−	0.992989i
$980$	11.1911	−	1.31837i	0.357488	−	0.0421138i
$981$	52.1269	+	15.5699i	1.66428	+	0.497109i
$982$	−5.66587	−	0.897386i	−0.180805	−	0.0286367i
$983$	2.13768	−	4.19543i	0.0681814	−	0.133814i	−0.854400	−	0.519615i	$-0.826075\pi$
$983$	2.13768	−	4.19543i	0.0681814	−	0.133814i	0.922582	+	0.385802i	$0.126075\pi$
$984$	4.61965	−	9.34090i	0.147269	−	0.297777i
$985$	−0.0717822	+	1.80193i	−0.00228717	+	0.0574142i
$986$		−	13.7247i		−	0.437084i
$987$	0.154234	+	12.9047i	0.00490931	+	0.410760i
$988$	3.42192	+	6.71589i	0.108866	+	0.213661i
$989$	−38.3485	−	27.8618i	−1.21941	−	0.885954i
$990$	16.4363	+	12.3460i	0.522381	+	0.392382i
$991$	−47.1659			−1.49827			−0.749137	−	0.662415i	$-0.769532\pi$
$991$	−47.1659			−1.49827			−0.749137	+	0.662415i	$0.769532\pi$
$992$	1.96479	−	5.20957i	0.0623823	−	0.165404i
$993$	0.408131	+	34.1482i	0.0129517	+	1.08366i
$994$	−6.63466	−	9.13183i	−0.210439	−	0.289644i
$995$	13.0246	−	5.99580i	0.412907	−	0.190080i
$996$	8.39126	−	4.40266i	0.265887	−	0.139504i
$997$	−43.4904	−	43.4904i	−1.37735	−	1.37735i	−0.849065	−	0.528288i	$-0.822834\pi$
$997$	−43.4904	−	43.4904i	−1.37735	−	1.37735i	−0.528288	−	0.849065i	$-0.677166\pi$
$998$	21.2974	+	21.2974i	0.674157	+	0.674157i
$999$	30.1176	+	54.2125i	0.952879	+	1.71521i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bk.a.47.9	✓	512
3.2	odd	2	inner	930.2.bk.a.47.38	yes	512
5.3	odd	4	inner	930.2.bk.a.233.40	yes	512
15.8	even	4	inner	930.2.bk.a.233.22	yes	512
31.2	even	5	inner	930.2.bk.a.467.22	yes	512
93.2	odd	10	inner	930.2.bk.a.467.40	yes	512
155.33	odd	20	inner	930.2.bk.a.653.38	yes	512
465.188	even	20	inner	930.2.bk.a.653.9	yes	512

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bk.a.47.9	✓	512	1.1	even	1	trivial
930.2.bk.a.47.38	yes	512	3.2	odd	2	inner
930.2.bk.a.233.22	yes	512	15.8	even	4	inner
930.2.bk.a.233.40	yes	512	5.3	odd	4	inner
930.2.bk.a.467.22	yes	512	31.2	even	5	inner
930.2.bk.a.467.40	yes	512	93.2	odd	10	inner
930.2.bk.a.653.9	yes	512	465.188	even	20	inner
930.2.bk.a.653.38	yes	512	155.33	odd	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bk (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 + 0.987688i) q^{2} +(-1.00125 + 1.41333i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.95036 + 1.09365i) q^{5} +(-1.23929 - 1.21002i) q^{6} +(1.24759 - 0.635678i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.994977 - 2.83020i) q^{9} +O(q^{10})\)	\(q+(-0.156434 + 0.987688i) q^{2} +(-1.00125 + 1.41333i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(1.95036 + 1.09365i) q^{5} +(-1.23929 - 1.21002i) q^{6} +(1.24759 - 0.635678i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.994977 - 2.83020i) q^{9} +(-1.38529 + 1.75527i) q^{10} +(2.91443 + 0.946955i) q^{11} +(1.38899 - 1.03475i) q^{12} +(-1.76897 + 0.280178i) q^{13} +(0.432686 + 1.33167i) q^{14} +(-3.49850 + 1.66147i) q^{15} +(0.809017 + 0.587785i) q^{16} +(4.28557 + 2.18361i) q^{17} +(2.95100 - 0.539987i) q^{18} +(2.47366 + 3.40470i) q^{19} +(-1.51695 - 1.64282i) q^{20} +(-0.350734 + 2.39972i) q^{21} +(-1.39121 + 2.73041i) q^{22} +(1.70569 - 3.34760i) q^{23} +(0.804722 + 1.53376i) q^{24} +(2.60784 + 4.26605i) q^{25} -1.79102i q^{26} +(4.99622 + 1.42752i) q^{27} +(-1.38296 + 0.219040i) q^{28} +(-2.30852 + 1.67724i) q^{29} +(-1.09373 - 3.71534i) q^{30} +(-5.07304 + 2.29440i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-4.25644 + 3.17089i) q^{33} +(-2.82714 + 3.89122i) q^{34} +(3.12846 + 0.124627i) q^{35} +(0.0717003 + 2.99914i) q^{36} +(8.43939 + 8.43939i) q^{37} +(-3.74975 + 1.91059i) q^{38} +(1.37521 - 2.78066i) q^{39} +(1.85990 - 1.24128i) q^{40} +(-3.53639 - 4.86742i) q^{41} +(-2.31531 - 0.721815i) q^{42} +(1.97365 - 12.4611i) q^{43} +(-2.47916 - 1.80122i) q^{44} +(1.15469 - 6.60808i) q^{45} +(3.03956 + 2.20837i) q^{46} +(5.25590 - 0.832453i) q^{47} +(-1.64076 + 0.554881i) q^{48} +(-2.96211 + 4.07699i) q^{49} +(-4.62148 + 1.90838i) q^{50} +(-7.37710 + 3.87056i) q^{51} +(1.76897 + 0.280178i) q^{52} +(-4.55137 + 8.93257i) q^{53} +(-2.19153 + 4.71139i) q^{54} +(4.64855 + 5.03428i) q^{55} -1.40020i q^{56} +(-7.28872 + 0.0871131i) q^{57} +(-1.29546 - 2.54247i) q^{58} +(-9.33961 - 6.78563i) q^{59} +(3.84070 - 0.499058i) q^{60} -7.57471 q^{61} +(-1.47256 - 5.36950i) q^{62} +(-3.04042 - 2.89844i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(-3.75656 - 1.38820i) q^{65} +(-2.46600 - 4.70007i) q^{66} +(3.96461 + 3.96461i) q^{67} +(-3.40105 - 3.40105i) q^{68} +(3.02342 + 5.76249i) q^{69} +(-0.612492 + 3.07045i) q^{70} +(-7.66684 + 2.49111i) q^{71} +(-2.97344 - 0.398352i) q^{72} +(0.992005 + 1.94692i) q^{73} +(-9.65570 + 7.01528i) q^{74} +(-8.64043 - 0.585673i) q^{75} +(-1.30048 - 4.00247i) q^{76} +(4.23796 - 0.671227i) q^{77} +(2.53130 + 1.79327i) q^{78} +(-1.58446 + 0.514821i) q^{79} +(0.935044 + 2.03118i) q^{80} +(-7.02004 + 5.63197i) q^{81} +(5.36071 - 2.73142i) q^{82} +(5.40368 + 0.855858i) q^{83} +(1.07512 - 2.17389i) q^{84} +(5.97032 + 8.94577i) q^{85} +(11.9990 + 3.89871i) q^{86} +(-0.0590660 - 4.94203i) q^{87} +(2.16687 - 2.16687i) q^{88} +(3.87270 - 11.9189i) q^{89} +(6.34609 + 2.17420i) q^{90} +(-2.02885 + 1.47404i) q^{91} +(-2.65667 + 2.65667i) q^{92} +(1.83667 - 9.46713i) q^{93} +5.32142i q^{94} +(1.10097 + 9.34575i) q^{95} +(-0.291378 - 1.70737i) q^{96} +(-11.0658 + 5.63832i) q^{97} +(-3.56342 - 3.56342i) q^{98} +(-0.219719 - 9.19061i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 512 q + 8 q^{3} - 12 q^{7}+O(q^{10}) \) 512 * q + 8 * q^3 - 12 * q^7	\( 512 q + 8 q^{3} - 12 q^{7} - 8 q^{10} - 8 q^{12} + 8 q^{15} + 128 q^{16} + 28 q^{22} + 32 q^{25} + 44 q^{27} + 8 q^{28} + 24 q^{30} + 8 q^{31} + 28 q^{33} + 176 q^{37} + 24 q^{42} - 40 q^{45} - 24 q^{46} + 12 q^{48} - 16 q^{51} - 40 q^{55} + 40 q^{57} + 56 q^{58} + 12 q^{60} - 32 q^{61} - 224 q^{63} + 32 q^{66} + 48 q^{67} + 24 q^{70} + 40 q^{73} - 32 q^{75} + 48 q^{76} - 76 q^{78} - 96 q^{81} + 24 q^{85} - 80 q^{87} - 72 q^{88} + 16 q^{90} + 80 q^{91} - 168 q^{93} - 112 q^{97}+O(q^{100}) \) 512 * q + 8 * q^3 - 12 * q^7 - 8 * q^10 - 8 * q^12 + 8 * q^15 + 128 * q^16 + 28 * q^22 + 32 * q^25 + 44 * q^27 + 8 * q^28 + 24 * q^30 + 8 * q^31 + 28 * q^33 + 176 * q^37 + 24 * q^42 - 40 * q^45 - 24 * q^46 + 12 * q^48 - 16 * q^51 - 40 * q^55 + 40 * q^57 + 56 * q^58 + 12 * q^60 - 32 * q^61 - 224 * q^63 + 32 * q^66 + 48 * q^67 + 24 * q^70 + 40 * q^73 - 32 * q^75 + 48 * q^76 - 76 * q^78 - 96 * q^81 + 24 * q^85 - 80 * q^87 - 72 * q^88 + 16 * q^90 + 80 * q^91 - 168 * q^93 - 112 * q^97

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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