LMFDB - Embedded newform 930.2.bj.b.277.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [930,2,Mod(277,930)]

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([0, 5, 6]))

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

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

chi := DirichletCharacter("930.277");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 930 = 2 \cdot 3 \cdot 5 \cdot 31 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	930.bj (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:	$128$
Relative dimension:	$16$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			277.2
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.b.883.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.82843 + 1.28719i) q^{5} +1.00000i q^{6} +(-2.04975 + 4.02286i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.82843 + 1.28719i) q^{5} +1.00000i q^{6} +(-2.04975 + 4.02286i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(1.55737 + 1.60455i) q^{10} +(-3.96859 + 1.28947i) q^{11} +(0.987688 - 0.156434i) q^{12} +(0.962817 + 0.152495i) q^{13} +(4.29398 + 1.39520i) q^{14} +(2.00728 - 0.985315i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-1.89562 - 3.72037i) q^{17} +(0.156434 - 0.987688i) q^{18} +(3.78139 - 5.20463i) q^{19} +(1.34117 - 1.78921i) q^{20} +(2.65383 - 3.65268i) q^{21} +(1.89442 + 3.71802i) q^{22} +(-0.994191 + 0.506566i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(1.68628 - 4.70707i) q^{25} -0.974819i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.706295 - 4.45937i) q^{28} +(-1.02875 - 0.747429i) q^{29} +(-1.28719 - 1.82843i) q^{30} +(-1.17440 - 5.44250i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(4.12145 - 0.652774i) q^{33} +(-3.37802 + 2.45428i) q^{34} +(-1.43038 - 9.99391i) q^{35} -1.00000 q^{36} +(5.16944 - 5.16944i) q^{37} +(-5.73209 - 2.92065i) q^{38} +(-0.927108 - 0.301236i) q^{39} +(-1.97698 - 1.04477i) q^{40} +(6.78343 + 4.92845i) q^{41} +(-4.02286 - 2.04975i) q^{42} +(1.93249 + 12.2013i) q^{43} +(3.37589 - 2.45273i) q^{44} +(-2.13670 + 0.659177i) q^{45} +(0.655855 + 0.902707i) q^{46} +(-5.24705 - 0.831052i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(-7.86742 - 10.8286i) q^{49} +(-4.91291 - 0.929168i) q^{50} +(1.29029 + 3.97110i) q^{51} +(-0.962817 + 0.152495i) q^{52} +(4.82553 - 2.45873i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(5.59648 - 7.46605i) q^{55} -4.51496 q^{56} +(-4.54901 + 4.54901i) q^{57} +(-0.577295 + 1.13301i) q^{58} +(-4.09613 - 5.63783i) q^{59} +(-1.60455 + 1.55737i) q^{60} +4.59495i q^{61} +(-5.19178 + 2.01134i) q^{62} +(-3.19256 + 3.19256i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-1.95673 + 0.960504i) q^{65} +(-1.28947 - 3.96859i) q^{66} +(1.02330 + 1.02330i) q^{67} +(2.95250 + 2.95250i) q^{68} +(1.06120 - 0.344803i) q^{69} +(-9.64711 + 2.97616i) q^{70} +(1.77808 - 5.47237i) q^{71} +(0.156434 + 0.987688i) q^{72} +(-3.06125 + 6.00805i) q^{73} +(-5.91447 - 4.29712i) q^{74} +(-2.40186 + 4.38532i) q^{75} +(-1.98799 + 6.11841i) q^{76} +(2.94725 - 18.6082i) q^{77} +(-0.152495 + 0.962817i) q^{78} +(1.80075 - 5.54214i) q^{79} +(-0.722635 + 2.11608i) q^{80} +(0.809017 + 0.587785i) q^{81} +(3.80661 - 7.47089i) q^{82} +(1.10588 + 6.98223i) q^{83} +(-1.39520 + 4.29398i) q^{84} +(8.25483 + 4.36238i) q^{85} +(11.7487 - 3.81740i) q^{86} +(0.899158 + 0.899158i) q^{87} +(-2.95063 - 2.95063i) q^{88} +(-4.49010 - 13.8191i) q^{89} +(0.985315 + 2.00728i) q^{90} +(-2.58700 + 3.56070i) q^{91} +(0.788995 - 0.788995i) q^{92} +(0.308547 + 5.55921i) q^{93} +5.31246i q^{94} +(-0.214624 + 14.3836i) q^{95} +(0.587785 + 0.809017i) q^{96} +(1.91746 - 3.76322i) q^{97} +(-9.46453 + 9.46453i) q^{98} -4.17283 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q + 4 q^{7}+O(q^{10}) $ 128 * q + 4 * q^7	$ 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) $ 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$187$	$311$	$871$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$1$	$e\left(\frac{3}{10}\right)$

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
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$3$	−0.987688	−	0.156434i	−0.570242	−	0.0903175i
$4$	−0.951057	+	0.309017i	−0.475528	+	0.154508i
$5$	−1.82843	+	1.28719i	−0.817697	+	0.575650i
$5$	−1.82843	+	1.28719i	−0.817697	+	0.575650i
$6$			1.00000i			0.408248i
$7$	−2.04975	+	4.02286i	−0.774732	+	1.52050i	0.0772997	+	0.997008i	$0.475370\pi$
$7$	−2.04975	+	4.02286i	−0.774732	+	1.52050i	−0.852032	+	0.523490i	$0.824630\pi$
$8$	0.453990	+	0.891007i	0.160510	+	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	1.55737	+	1.60455i	0.492484	+	0.507404i
$11$	−3.96859	+	1.28947i	−1.19658	+	0.388791i	−0.838500	−	0.544901i	$-0.816567\pi$
$11$	−3.96859	+	1.28947i	−1.19658	+	0.388791i	−0.358076	+	0.933692i	$0.616567\pi$
$12$	0.987688	−	0.156434i	0.285121	−	0.0451587i
$13$	0.962817	+	0.152495i	0.267038	+	0.0422946i	0.288517	−	0.957475i	$-0.406838\pi$
$13$	0.962817	+	0.152495i	0.267038	+	0.0422946i	−0.0214797	+	0.999769i	$0.506838\pi$
$14$	4.29398	+	1.39520i	1.14761	+	0.372883i
$15$	2.00728	−	0.985315i	0.518276	−	0.254407i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	−1.89562	−	3.72037i	−0.459756	−	0.902321i	−0.998218	−	0.0596719i	$-0.980995\pi$
$17$	−1.89562	−	3.72037i	−0.459756	−	0.902321i	0.538462	−	0.842650i	$-0.319005\pi$
$18$	0.156434	−	0.987688i	0.0368720	−	0.232800i
$19$	3.78139	−	5.20463i	0.867509	−	1.19402i	−0.112217	−	0.993684i	$-0.535795\pi$
$19$	3.78139	−	5.20463i	0.867509	−	1.19402i	0.979726	−	0.200341i	$-0.0642049\pi$
$20$	1.34117	−	1.78921i	0.299895	−	0.400079i
$21$	2.65383	−	3.65268i	0.579112	−	0.797080i
$22$	1.89442	+	3.71802i	0.403893	+	0.792684i
$23$	−0.994191	+	0.506566i	−0.207303	+	0.105626i	−0.554560	−	0.832144i	$-0.687113\pi$
$23$	−0.994191	+	0.506566i	−0.207303	+	0.105626i	0.347257	+	0.937770i	$0.387113\pi$
$24$	−0.309017	−	0.951057i	−0.0630778	−	0.194134i
$25$	1.68628	−	4.70707i	0.337255	−	0.941413i
$26$		−	0.974819i		−	0.191178i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	0.706295	−	4.45937i	0.133477	−	0.842742i
$29$	−1.02875	−	0.747429i	−0.191034	−	0.138794i	0.488157	−	0.872756i	$-0.337669\pi$
$29$	−1.02875	−	0.747429i	−0.191034	−	0.138794i	−0.679191	+	0.733962i	$0.737669\pi$
$30$	−1.28719	−	1.82843i	−0.235008	−	0.333823i
$31$	−1.17440	−	5.44250i	−0.210929	−	0.977501i
$31$	−1.17440	−	5.44250i	−0.210929	−	0.977501i
$32$	−0.707107	−	0.707107i	−0.125000	−	0.125000i
$33$	4.12145	−	0.652774i	0.717453	−	0.113633i
$34$	−3.37802	+	2.45428i	−0.579326	+	0.420905i
$35$	−1.43038	−	9.99391i	−0.241778	−	1.68928i
$36$	−1.00000			−0.166667
$37$	5.16944	−	5.16944i	0.849850	−	0.849850i	−0.140264	−	0.990114i	$-0.544795\pi$
$37$	5.16944	−	5.16944i	0.849850	−	0.849850i	0.990114	+	0.140264i	$0.0447951\pi$
$38$	−5.73209	−	2.92065i	−0.929868	−	0.473792i
$39$	−0.927108	−	0.301236i	−0.148456	−	0.0482363i
$40$	−1.97698	−	1.04477i	−0.312589	−	0.165192i
$41$	6.78343	+	4.92845i	1.05939	+	0.769694i	0.973976	−	0.226651i	$-0.0727777\pi$
$41$	6.78343	+	4.92845i	1.05939	+	0.769694i	0.0854173	+	0.996345i	$0.472778\pi$
$42$	−4.02286	−	2.04975i	−0.620741	−	0.316283i
$43$	1.93249	+	12.2013i	0.294702	+	1.86068i	0.479014	+	0.877807i	$0.340994\pi$
$43$	1.93249	+	12.2013i	0.294702	+	1.86068i	−0.184312	+	0.982868i	$0.559006\pi$
$44$	3.37589	−	2.45273i	0.508934	−	0.369762i
$45$	−2.13670	+	0.659177i	−0.318520	+	0.0982644i
$46$	0.655855	+	0.902707i	0.0967005	+	0.133097i
$47$	−5.24705	−	0.831052i	−0.765361	−	0.121221i	−0.238465	−	0.971151i	$-0.576644\pi$
$47$	−5.24705	−	0.831052i	−0.765361	−	0.121221i	−0.526896	+	0.849930i	$0.676644\pi$
$48$	−0.891007	+	0.453990i	−0.128606	+	0.0655279i
$49$	−7.86742	−	10.8286i	−1.12392	−	1.54694i
$50$	−4.91291	−	0.929168i	−0.694790	−	0.131404i
$51$	1.29029	+	3.97110i	0.180677	+	0.556066i
$52$	−0.962817	+	0.152495i	−0.133519	+	0.0211473i
$53$	4.82553	−	2.45873i	0.662838	−	0.337733i	−0.0899970	−	0.995942i	$-0.528686\pi$
$53$	4.82553	−	2.45873i	0.662838	−	0.337733i	0.752835	+	0.658209i	$0.228686\pi$
$54$	−0.309017	+	0.951057i	−0.0420519	+	0.129422i
$55$	5.59648	−	7.46605i	0.754629	−	1.00672i
$56$	−4.51496			−0.603337
$57$	−4.54901	+	4.54901i	−0.602532	+	0.602532i
$58$	−0.577295	+	1.13301i	−0.0758025	+	0.148771i
$59$	−4.09613	−	5.63783i	−0.533270	−	0.733983i	0.454354	−	0.890821i	$-0.349870\pi$
$59$	−4.09613	−	5.63783i	−0.533270	−	0.733983i	−0.987624	+	0.156838i	$0.949870\pi$
$60$	−1.60455	+	1.55737i	−0.207147	+	0.201056i
$61$			4.59495i			0.588323i	0.955756	+	0.294161i	$0.0950403\pi$
$61$			4.59495i			0.588323i	−0.955756	+	0.294161i	$0.904960\pi$
$62$	−5.19178	+	2.01134i	−0.659356	+	0.255440i
$63$	−3.19256	+	3.19256i	−0.402225	+	0.402225i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	−1.95673	+	0.960504i	−0.242703	+	0.119136i
$66$	−1.28947	−	3.96859i	−0.158723	−	0.488500i
$67$	1.02330	+	1.02330i	0.125016	+	0.125016i	0.766847	−	0.641830i	$-0.221825\pi$
$67$	1.02330	+	1.02330i	0.125016	+	0.125016i	−0.641830	+	0.766847i	$0.721825\pi$
$68$	2.95250	+	2.95250i	0.358043	+	0.358043i
$69$	1.06120	−	0.344803i	0.127753	−	0.0415094i
$70$	−9.64711	+	2.97616i	−1.15305	+	0.355719i
$71$	1.77808	−	5.47237i	0.211020	−	0.649451i	−0.788393	−	0.615172i	$-0.789086\pi$
$71$	1.77808	−	5.47237i	0.211020	−	0.649451i	0.999412	−	0.0342791i	$-0.0109135\pi$
$72$	0.156434	+	0.987688i	0.0184360	+	0.116400i
$73$	−3.06125	+	6.00805i	−0.358293	+	0.703189i	−0.997849	−	0.0655552i	$-0.979118\pi$
$73$	−3.06125	+	6.00805i	−0.358293	+	0.703189i	0.639556	+	0.768744i	$0.279118\pi$
$74$	−5.91447	−	4.29712i	−0.687543	−	0.499529i
$75$	−2.40186	+	4.38532i	−0.277343	+	0.506373i
$76$	−1.98799	+	6.11841i	−0.228038	+	0.701830i
$77$	2.94725	−	18.6082i	0.335870	−	2.12060i
$78$	−0.152495	+	0.962817i	−0.0172667	+	0.109018i
$79$	1.80075	−	5.54214i	0.202600	−	0.623540i	−0.797203	−	0.603711i	$-0.793688\pi$
$79$	1.80075	−	5.54214i	0.202600	−	0.623540i	0.999803	−	0.0198286i	$-0.00631204\pi$
$80$	−0.722635	+	2.11608i	−0.0807930	+	0.236585i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	3.80661	−	7.47089i	0.420370	−	0.825022i
$83$	1.10588	+	6.98223i	0.121386	+	0.766399i	0.971015	+	0.239019i	$0.0768258\pi$
$83$	1.10588	+	6.98223i	0.121386	+	0.766399i	−0.849629	+	0.527381i	$0.823174\pi$
$84$	−1.39520	+	4.29398i	−0.152229	+	0.468512i
$85$	8.25483	+	4.36238i	0.895362	+	0.473167i
$86$	11.7487	−	3.81740i	1.26690	−	0.411640i
$87$	0.899158	+	0.899158i	0.0963999	+	0.0963999i
$88$	−2.95063	−	2.95063i	−0.314539	−	0.314539i
$89$	−4.49010	−	13.8191i	−0.475949	−	1.46482i	−0.844673	−	0.535282i	$-0.820205\pi$
$89$	−4.49010	−	13.8191i	−0.475949	−	1.46482i	0.368724	−	0.929539i	$-0.379795\pi$
$90$	0.985315	+	2.00728i	0.103861	+	0.211585i
$91$	−2.58700	+	3.56070i	−0.271191	+	0.373263i
$92$	0.788995	−	0.788995i	0.0822584	−	0.0822584i
$93$	0.308547	+	5.55921i	0.0319949	+	0.576463i
$94$			5.31246i			0.547938i
$95$	−0.214624	+	14.3836i	−0.0220199	+	1.47573i
$96$	0.587785	+	0.809017i	0.0599906	+	0.0825700i
$97$	1.91746	−	3.76322i	0.194688	−	0.382097i	−0.772939	−	0.634480i	$-0.781214\pi$
$97$	1.91746	−	3.76322i	0.194688	−	0.382097i	0.967627	+	0.252383i	$0.0812143\pi$
$98$	−9.46453	+	9.46453i	−0.956062	+	0.956062i
$99$	−4.17283			−0.419385
$100$	−0.149181	+	4.99777i	−0.0149181	+	0.499777i
$101$	2.37396	−	7.30630i	0.236218	−	0.727004i	−0.760740	−	0.649057i	$-0.775164\pi$
$101$	2.37396	−	7.30630i	0.236218	−	0.727004i	0.996958	−	0.0779468i	$-0.0248364\pi$
$102$	3.72037	−	1.89562i	0.368371	−	0.187694i
$103$	6.77657	−	1.07330i	0.667715	−	0.105756i	0.186631	−	0.982430i	$-0.440243\pi$
$103$	6.77657	−	1.07330i	0.667715	−	0.105756i	0.481084	+	0.876674i	$0.340243\pi$
$104$	0.301236	+	0.927108i	0.0295386	+	0.0909104i
$105$	−0.150626	+	10.0946i	−0.0146996	+	0.985135i
$106$	−3.18334	−	4.38149i	−0.309193	−	0.425568i
$107$	−17.5145	+	8.92411i	−1.69319	+	0.862726i	−0.705058	+	0.709150i	$0.749079\pi$
$107$	−17.5145	+	8.92411i	−1.69319	+	0.862726i	−0.988137	+	0.153576i	$0.950921\pi$
$108$	0.987688	+	0.156434i	0.0950404	+	0.0150529i
$109$	−1.29188	−	1.77812i	−0.123740	−	0.170313i	0.742653	−	0.669677i	$-0.233567\pi$
$109$	−1.29188	−	1.77812i	−0.123740	−	0.170313i	−0.866393	+	0.499363i	$0.833567\pi$
$110$	−8.24961	−	4.35963i	−0.786570	−	0.415674i
$111$	−5.91447	+	4.29712i	−0.561377	+	0.407864i
$112$	0.706295	+	4.45937i	0.0667386	+	0.421371i
$113$	−11.5524	−	5.88626i	−1.08676	−	0.553733i	−0.183587	−	0.983004i	$-0.558771\pi$
$113$	−11.5524	−	5.88626i	−1.08676	−	0.553733i	−0.903176	+	0.429270i	$0.858771\pi$
$114$	5.20463	+	3.78139i	0.487458	+	0.354159i
$115$	1.16576	−	2.20593i	0.108707	−	0.205704i
$116$	1.20936	+	0.392946i	0.112287	+	0.0364842i
$117$	0.868570	+	0.442559i	0.0802993	+	0.0409146i
$118$	−4.92765	+	4.92765i	−0.453627	+	0.453627i
$119$	18.8521			1.72817
$120$	1.78921	+	1.34117i	0.163331	+	0.122432i
$121$	5.18781	−	3.76917i	0.471619	−	0.342651i
$122$	4.53838	−	0.718808i	0.410885	−	0.0650778i
$123$	−5.92893	−	5.92893i	−0.534594	−	0.534594i
$124$	2.79875	+	4.81321i	0.251335	+	0.432239i
$125$	2.97567	+	10.7771i	0.266152	+	0.963931i
$126$	3.65268	+	2.65383i	0.325407	+	0.236422i
$127$	0.173424	−	1.09496i	0.0153889	−	0.0971617i	−0.978798	−	0.204826i	$-0.934337\pi$
$127$	0.173424	−	1.09496i	0.0153889	−	0.0971617i	0.994187	+	0.107664i	$0.0343372\pi$
$128$	0.891007	+	0.453990i	0.0787546	+	0.0401275i
$129$		−	12.3534i		−	1.08765i
$130$	1.25478	+	1.78238i	0.110051	+	0.156325i
$131$	−3.07398	−	9.46075i	−0.268575	−	0.826590i	−0.990848	−	0.134982i	$-0.956902\pi$
$131$	−3.07398	−	9.46075i	−0.268575	−	0.826590i	0.722273	−	0.691608i	$-0.243098\pi$
$132$	−3.71802	+	1.89442i	−0.323612	+	0.164888i
$133$	13.1866	+	25.8802i	1.14342	+	2.24410i
$134$	0.850623	−	1.17078i	0.0734826	−	0.101140i
$135$	2.21351	−	0.316808i	0.190509	−	0.0272665i
$136$	2.45428	−	3.37802i	0.210453	−	0.289663i
$137$	3.52072	−	22.2289i	0.300795	−	1.89915i	−0.121338	−	0.992611i	$-0.538718\pi$
$137$	3.52072	−	22.2289i	0.300795	−	1.89915i	0.422133	−	0.906534i	$-0.361282\pi$
$138$	−0.506566	−	0.994191i	−0.0431217	−	0.0846312i
$139$	−3.36181	+	2.44250i	−0.285145	+	0.207170i	−0.721159	−	0.692770i	$-0.756390\pi$
$139$	−3.36181	+	2.44250i	−0.285145	+	0.207170i	0.436013	+	0.899940i	$0.356390\pi$
$140$	4.44866	+	9.06277i	0.375980	+	0.765944i
$141$	5.05245	+	1.64164i	0.425493	+	0.138251i
$142$	−5.68315	−	0.900123i	−0.476920	−	0.0755367i
$143$	−4.01767	+	0.636337i	−0.335975	+	0.0532131i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	2.84307	+	0.0424225i	0.236104	+	0.00352300i
$146$	6.41297	+	2.08370i	0.530741	+	0.172448i
$147$	6.07660	+	11.9260i	0.501190	+	0.983640i
$148$	−3.31898	+	6.51387i	−0.272819	+	0.535437i
$149$		−	5.95594i		−	0.487930i	−0.969784	−	0.243965i	$-0.921552\pi$
$149$		−	5.95594i		−	0.487930i	0.969784	−	0.243965i	$-0.0784481\pi$
$150$	4.70707	+	1.68628i	0.384330	+	0.137684i
$151$	21.0644	−	6.84424i	1.71420	−	0.556976i	0.723174	−	0.690666i	$-0.242682\pi$
$151$	21.0644	−	6.84424i	1.71420	−	0.556976i	0.991023	+	0.133689i	$0.0426825\pi$
$152$	6.35407	+	1.00639i	0.515383	+	0.0816287i
$153$	−0.653187	−	4.12406i	−0.0528070	−	0.333410i
$154$	−18.8401			−1.51818
$155$	9.15284	+	8.43952i	0.735174	+	0.677879i
$156$	0.974819			0.0780480
$157$	0.360066	+	2.27337i	0.0287364	+	0.181435i	0.997882	−	0.0650559i	$-0.0207226\pi$
$157$	0.360066	+	2.27337i	0.0287364	+	0.181435i	−0.969145	+	0.246491i	$0.920723\pi$
$158$	−5.75561	−	0.911599i	−0.457892	−	0.0725229i
$159$	−5.15075	+	1.67358i	−0.408481	+	0.132724i
$160$	2.20307	+	0.382710i	0.174168	+	0.0302559i
$161$		−	5.03782i		−	0.397036i
$162$	0.453990	−	0.891007i	0.0356689	−	0.0700041i
$163$	4.34178	+	8.52122i	0.340074	+	0.667433i	0.996188	−	0.0872285i	$-0.0278010\pi$
$163$	4.34178	+	8.52122i	0.340074	+	0.667433i	−0.656114	+	0.754662i	$0.727801\pi$
$164$	−7.97440	−	2.59104i	−0.622696	−	0.202326i
$165$	−6.69552	+	6.49865i	−0.521246	+	0.505919i
$166$	6.72327	−	2.18452i	0.521827	−	0.169552i
$167$	2.58543	−	0.409492i	0.200067	−	0.0316875i	−0.0555966	−	0.998453i	$-0.517706\pi$
$167$	2.58543	−	0.409492i	0.200067	−	0.0316875i	0.255663	+	0.966766i	$0.417706\pi$
$168$	4.45937	+	0.706295i	0.344048	+	0.0544919i
$169$	−11.4600	−	3.72357i	−0.881536	−	0.286429i
$170$	3.01734	−	8.83562i	0.231419	−	0.677661i
$171$	5.20463	−	3.78139i	0.398008	−	0.289170i
$172$	−5.60830	−	11.0069i	−0.427629	−	0.839270i
$173$	−1.24921	+	7.88718i	−0.0949754	+	0.599651i	0.893593	+	0.448878i	$0.148176\pi$
$173$	−1.24921	+	7.88718i	−0.0949754	+	0.599651i	−0.988568	+	0.150773i	$0.951824\pi$
$174$	0.747429	−	1.02875i	0.0566624	−	0.0779891i
$175$	15.4794	+	16.4320i	1.17013	+	1.24214i
$176$	−2.45273	+	3.37589i	−0.184881	+	0.254467i
$177$	3.16374	+	6.20920i	0.237802	+	0.466712i
$178$	−12.9466	+	6.59660i	−0.970385	+	0.494436i
$179$	−1.93569	−	5.95744i	−0.144680	−	0.445280i	0.852290	−	0.523070i	$-0.175213\pi$
$179$	−1.93569	−	5.95744i	−0.144680	−	0.445280i	−0.996970	+	0.0777906i	$0.975213\pi$
$180$	1.82843	−	1.28719i	0.136283	−	0.0959416i
$181$		−	18.8159i		−	1.39858i	−0.714839	−	0.699289i	$-0.753500\pi$
$181$		−	18.8159i		−	1.39858i	0.714839	−	0.699289i	$-0.246500\pi$
$182$	3.92156	+	1.99813i	0.290685	+	0.148112i
$183$	0.718808	−	4.53838i	0.0531358	−	0.335486i
$184$	−0.902707	−	0.655855i	−0.0665484	−	0.0483503i
$185$	−2.79787	+	16.1060i	−0.205704	+	1.18414i
$186$	5.44250	−	1.17440i	0.399063	−	0.0861112i
$187$	12.3203	+	12.3203i	0.900947	+	0.900947i
$188$	5.24705	−	0.831052i	0.382681	−	0.0606107i
$189$	3.65268	−	2.65383i	0.265693	−	0.193037i
$190$	14.2401	−	2.03812i	1.03309	−	0.147861i
$191$	−24.5821			−1.77870			−0.889350	−	0.457227i	$-0.848843\pi$
$191$	−24.5821			−1.77870			−0.889350	+	0.457227i	$0.848843\pi$
$192$	0.707107	−	0.707107i	0.0510310	−	0.0510310i
$193$	−11.0790	−	5.64501i	−0.797481	−	0.406337i	0.00725188	−	0.999974i	$-0.497692\pi$
$193$	−11.0790	−	5.64501i	−0.797481	−	0.406337i	−0.804733	+	0.593637i	$0.797692\pi$
$194$	−4.01684	−	1.30515i	−0.288393	−	0.0937045i
$195$	2.08290	−	0.642579i	0.149159	−	0.0460160i
$196$	10.8286	+	7.86742i	0.773470	+	0.561959i
$197$	4.15678	+	2.11799i	0.296159	+	0.150900i	0.595756	−	0.803165i	$-0.296852\pi$
$197$	4.15678	+	2.11799i	0.296159	+	0.150900i	−0.299598	+	0.954066i	$0.596852\pi$
$198$	0.652774	+	4.12145i	0.0463906	+	0.292899i
$199$	6.06468	−	4.40625i	0.429914	−	0.312351i	−0.351701	−	0.936113i	$-0.614396\pi$
$199$	6.06468	−	4.40625i	0.429914	−	0.312351i	0.781615	+	0.623762i	$0.214396\pi$
$200$	4.95958	−	0.634480i	0.350695	−	0.0448645i
$201$	−0.850623	−	1.17078i	−0.0599983	−	0.0825806i
$202$	−7.58772	−	1.20178i	−0.533870	−	0.0845567i
$203$	5.11547	−	2.60646i	0.359036	−	0.182938i
$204$	−2.45428	−	3.37802i	−0.171834	−	0.236509i
$205$	−18.7468	−	0.279729i	−1.30934	−	0.0195371i
$206$	−2.12018	−	6.52524i	−0.147720	−	0.454635i
$207$	−1.10207	+	0.174551i	−0.0765991	+	0.0121321i
$208$	0.868570	−	0.442559i	0.0602245	−	0.0306859i
$209$	−8.29555	+	25.5311i	−0.573815	+	1.76602i
$210$	9.99391	−	1.43038i	0.689646	−	0.0987054i
$211$	−15.7495			−1.08424			−0.542122	−	0.840300i	$-0.682379\pi$
$211$	−15.7495			−1.08424			−0.542122	+	0.840300i	$0.682379\pi$
$212$	−3.82957	+	3.82957i	−0.263016	+	0.263016i
$213$	−2.61226	+	5.12685i	−0.178989	+	0.351286i
$214$	11.5541	+	15.9029i	0.789823	+	1.08710i
$215$	−19.2388	−	19.8216i	−1.31207	−	1.35182i
$216$		−	1.00000i		−	0.0680414i
$217$	24.3016	+	6.43131i	1.64970	+	0.436586i
$218$	−1.55413	+	1.55413i	−0.105259	+	0.105259i
$219$	3.96343	−	5.45520i	0.267824	−	0.368628i
$220$	−3.01543	+	8.83004i	−0.203300	+	0.595321i
$221$	−1.25780	−	3.87111i	−0.0846087	−	0.260399i
$222$	5.16944	+	5.16944i	0.346950	+	0.346950i
$223$	−5.86781	−	5.86781i	−0.392938	−	0.392938i	0.482795	−	0.875733i	$-0.339621\pi$
$223$	−5.86781	−	5.86781i	−0.392938	−	0.392938i	−0.875733	+	0.482795i	$0.839621\pi$
$224$	4.29398	−	1.39520i	0.286904	−	0.0932207i
$225$	3.05831	−	3.95560i	0.203887	−	0.263707i
$226$	−4.00659	+	12.3310i	−0.266515	+	0.820248i
$227$	2.36263	+	14.9171i	0.156813	+	0.990080i	0.933078	+	0.359674i	$0.117112\pi$
$227$	2.36263	+	14.9171i	0.156813	+	0.990080i	−0.776265	+	0.630407i	$0.782888\pi$
$228$	2.92065	−	5.73209i	0.193425	−	0.379617i
$229$	−2.40707	−	1.74884i	−0.159064	−	0.115567i	0.505406	−	0.862882i	$-0.331343\pi$
$229$	−2.40707	−	1.74884i	−0.159064	−	0.115567i	−0.664470	+	0.747315i	$0.731343\pi$
$230$	−2.36114	−	0.806321i	−0.155689	−	0.0531672i
$231$	−5.82193	+	17.9180i	−0.383055	+	1.17892i
$232$	0.198922	−	1.25595i	0.0130599	−	0.0824569i
$233$	−0.834276	+	5.26741i	−0.0546552	+	0.345079i	0.945173	+	0.326569i	$0.105892\pi$
$233$	−0.834276	+	5.26741i	−0.0546552	+	0.345079i	−0.999829	+	0.0185107i	$0.994108\pi$
$234$	0.301236	−	0.927108i	0.0196924	−	0.0606069i
$235$	10.6636	−	5.23445i	0.695614	−	0.341458i
$236$	5.63783	+	4.09613i	0.366992	+	0.266635i
$237$	−2.64556	+	5.19221i	−0.171848	+	0.337270i
$238$	−2.94911	−	18.6200i	−0.191163	−	1.20695i
$239$	0.605414	−	1.86327i	0.0391610	−	0.120525i	−0.929565	−	0.368659i	$-0.879817\pi$
$239$	0.605414	−	1.86327i	0.0391610	−	0.120525i	0.968726	+	0.248133i	$0.0798171\pi$
$240$	1.04477	−	1.97698i	0.0674394	−	0.127614i
$241$	2.92455	−	0.950243i	0.188387	−	0.0612105i	−0.213304	−	0.976986i	$-0.568423\pi$
$241$	2.92455	−	0.950243i	0.188387	−	0.0612105i	0.401691	+	0.915775i	$0.368423\pi$
$242$	−4.53431	−	4.53431i	−0.291477	−	0.291477i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−1.41992	−	4.37006i	−0.0909009	−	0.279764i
$245$	28.3235	+	9.67237i	1.80952	+	0.617945i
$246$	−4.92845	+	6.78343i	−0.314226	+	0.432496i
$247$	4.43447	−	4.43447i	0.282158	−	0.282158i
$248$	4.31613	−	3.51724i	0.274075	−	0.223345i
$249$		−	7.06927i		−	0.447997i
$250$	10.1789	−	4.62494i	0.643770	−	0.292507i
$251$	−3.38978	−	4.66563i	−0.213961	−	0.294492i	0.688524	−	0.725214i	$-0.258259\pi$
$251$	−3.38978	−	4.66563i	−0.213961	−	0.294492i	−0.902485	+	0.430722i	$0.858259\pi$
$252$	2.04975	−	4.02286i	0.129122	−	0.253416i
$253$	3.29234	−	3.29234i	0.206988	−	0.206988i
$254$	−1.10861			−0.0695601
$255$	−7.47077	−	5.60001i	−0.467838	−	0.350687i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	23.4316	−	11.9390i	1.46163	−	0.744735i	0.471102	−	0.882079i	$-0.343856\pi$
$257$	23.4316	−	11.9390i	1.46163	−	0.744735i	0.990523	+	0.137344i	$0.0438565\pi$
$258$	−12.2013	+	1.93249i	−0.759617	+	0.120312i
$259$	10.1999	+	31.3920i	0.633789	+	1.95060i
$260$	1.56415	−	1.51816i	0.0970044	−	0.0941521i
$261$	−0.747429	−	1.02875i	−0.0462647	−	0.0636779i
$262$	−8.86340	+	4.51613i	−0.547583	+	0.279007i
$263$	14.6033	+	2.31293i	0.900476	+	0.142621i	0.589473	−	0.807788i	$-0.299335\pi$
$263$	14.6033	+	2.31293i	0.900476	+	0.142621i	0.311002	+	0.950409i	$0.399335\pi$
$264$	2.45273	+	3.37589i	0.150955	+	0.207772i
$265$	−5.65827	+	10.7070i	−0.347585	+	0.657725i
$266$	23.4987	−	17.0728i	1.44080	−	1.04680i
$267$	2.27303	+	14.3514i	0.139107	+	0.878289i
$268$	−1.28943	−	0.657000i	−0.0787647	−	0.0401326i
$269$	20.9984	+	15.2562i	1.28030	+	0.930189i	0.999562	−	0.0295961i	$-0.00942212\pi$
$269$	20.9984	+	15.2562i	1.28030	+	0.930189i	0.280734	+	0.959786i	$0.409422\pi$
$270$	−0.659177	−	2.13670i	−0.0401163	−	0.130035i
$271$	25.5193	+	8.29173i	1.55019	+	0.503687i	0.954165	−	0.299281i	$-0.0967468\pi$
$271$	25.5193	+	8.29173i	1.55019	+	0.503687i	0.596023	+	0.802968i	$0.296747\pi$
$272$	−3.72037	−	1.89562i	−0.225580	−	0.114939i
$273$	3.11217	−	3.11217i	0.188357	−	0.188357i
$274$	−22.5060			−1.35964
$275$	−0.622504	+	20.8548i	−0.0375384	+	1.25759i
$276$	−0.902707	+	0.655855i	−0.0543366	+	0.0394778i
$277$	7.83471	−	1.24090i	0.470742	−	0.0745582i	0.0834433	−	0.996513i	$-0.473408\pi$
$277$	7.83471	−	1.24090i	0.470742	−	0.0745582i	0.387299	+	0.921954i	$0.373408\pi$
$278$	2.93833	+	2.93833i	0.176229	+	0.176229i
$279$	0.564903	−	5.53903i	0.0338199	−	0.331613i
$280$	8.25527	−	5.81162i	0.493346	−	0.347311i
$281$	6.99183	+	5.07986i	0.417097	+	0.303039i	0.776469	−	0.630156i	$-0.217009\pi$
$281$	6.99183	+	5.07986i	0.417097	+	0.303039i	−0.359371	+	0.933195i	$0.617009\pi$
$282$	0.831052	−	5.24705i	0.0494884	−	0.312457i
$283$	−13.8427	−	7.05319i	−0.822861	−	0.419269i	−0.00873874	−	0.999962i	$-0.502782\pi$
$283$	−13.8427	−	7.05319i	−0.822861	−	0.419269i	−0.814123	+	0.580693i	$0.802782\pi$
$284$			5.75399i			0.341437i
$285$	2.46208	−	14.1730i	0.145841	−	0.839535i
$286$	1.25700	+	3.86866i	0.0743282	+	0.228759i
$287$	−33.7308	+	17.1867i	−1.99106	+	1.01450i
$288$	−0.453990	−	0.891007i	−0.0267516	−	0.0525031i
$289$	−0.255398	+	0.351525i	−0.0150234	+	0.0206780i
$290$	−0.402854	−	2.81470i	−0.0236564	−	0.165285i
$291$	−2.48255	+	3.41693i	−0.145529	+	0.200304i
$292$	1.05484	−	6.65998i	0.0617296	−	0.389746i
$293$	−6.28135	−	12.3279i	−0.366961	−	0.720201i	0.631517	−	0.775362i	$-0.282433\pi$
$293$	−6.28135	−	12.3279i	−0.366961	−	0.720201i	−0.998477	+	0.0551613i	$0.982433\pi$
$294$	10.8286	−	7.86742i	0.631536	−	0.458838i
$295$	14.7464	+	5.03586i	0.858570	+	0.293199i
$296$	6.95288	+	2.25913i	0.404128	+	0.131309i
$297$	4.12145	+	0.652774i	0.239151	+	0.0378778i
$298$	−5.88261	+	0.931714i	−0.340771	+	0.0539728i
$299$	−1.03447	+	0.336121i	−0.0598251	+	0.0194384i
$300$	0.929168	−	4.91291i	0.0536455	−	0.283647i
$301$	−53.0451	−	17.2354i	−3.05747	−	0.993431i
$302$	−10.0552	−	19.7344i	−0.578610	−	1.13559i
$303$	−3.48769	+	6.84498i	−0.200363	+	0.393234i
$304$		−	6.43328i		−	0.368974i
$305$	−5.91458	−	8.40152i	−0.338668	−	0.481070i
$306$	−3.97110	+	1.29029i	−0.227013	+	0.0737610i
$307$	−27.7261	−	4.39139i	−1.58241	−	0.250630i	−0.697570	−	0.716516i	$-0.745736\pi$
$307$	−27.7261	−	4.39139i	−1.58241	−	0.250630i	−0.884844	+	0.465886i	$0.845736\pi$
$308$	2.94725	+	18.6082i	0.167935	+	1.06030i
$309$	−6.86104			−0.390311
$310$	6.90380	−	10.3604i	0.392109	−	0.588430i
$311$	17.0428			0.966409			0.483204	−	0.875508i	$-0.339473\pi$
$311$	17.0428			0.966409			0.483204	+	0.875508i	$0.339473\pi$
$312$	−0.152495	−	0.962817i	−0.00863335	−	0.0545088i
$313$	−27.6823	−	4.38444i	−1.56469	−	0.247823i	−0.686860	−	0.726789i	$-0.741012\pi$
$313$	−27.6823	−	4.38444i	−1.56469	−	0.247823i	−0.877833	+	0.478966i	$0.841012\pi$
$314$	2.18905	−	0.711266i	0.123535	−	0.0401391i
$315$	1.72792	−	9.94679i	0.0973573	−	0.560438i
$316$			5.82735i			0.327814i
$317$	2.01756	−	3.95969i	0.113318	−	0.222398i	−0.827382	−	0.561640i	$-0.810170\pi$
$317$	2.01756	−	3.95969i	0.113318	−	0.222398i	0.940699	+	0.339242i	$0.110170\pi$
$318$	2.45873	+	4.82553i	0.137879	+	0.270603i
$319$	5.04647	+	1.63970i	0.282548	+	0.0918055i
$320$	0.0333615	−	2.23582i	0.00186496	−	0.124986i
$321$	18.6949	−	6.07436i	1.04345	−	0.339038i
$322$	−4.97580	+	0.788089i	−0.277290	+	0.0439185i
$323$	−26.5312	−	4.20213i	−1.47624	−	0.233813i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	2.34138	−	4.27490i	0.129876	−	0.237129i
$326$	7.73710	−	5.62133i	0.428519	−	0.311337i
$327$	0.997815	+	1.95832i	0.0551793	+	0.108296i
$328$	−1.31167	+	8.28155i	−0.0724248	+	0.457272i
$329$	14.0983	−	19.4047i	0.777267	−	1.06982i
$330$	7.46605	+	5.59648i	0.410992	+	0.308076i
$331$	−15.0787	+	20.7540i	−0.828798	+	1.14074i	0.159347	+	0.987223i	$0.449061\pi$
$331$	−15.0787	+	20.7540i	−0.828798	+	1.14074i	−0.988145	+	0.153520i	$0.950939\pi$
$332$	−3.20938	−	6.29876i	−0.176138	−	0.345689i
$333$	6.51387	−	3.31898i	0.356958	−	0.181879i
$334$	−0.808902	−	2.48954i	−0.0442611	−	0.136222i
$335$	−3.18821	−	0.553845i	−0.174191	−	0.0302598i
$336$		−	4.51496i		−	0.246311i
$337$	−23.0013	−	11.7198i	−1.25296	−	0.638416i	−0.303659	−	0.952781i	$-0.598208\pi$
$337$	−23.0013	−	11.7198i	−1.25296	−	0.638416i	−0.949302	+	0.314365i	$0.898208\pi$
$338$	−1.88499	+	11.9014i	−0.102530	+	0.647349i
$339$	10.4894	+	7.62100i	0.569706	+	0.413916i
$340$	−9.19886	−	1.59799i	−0.498878	−	0.0866633i
$341$	11.6787	+	20.0847i	0.632436	+	1.08765i
$342$	−4.54901	−	4.54901i	−0.245983	−	0.245983i
$343$	28.4725	−	4.50960i	1.53737	−	0.243495i
$344$	−9.99407	+	7.26112i	−0.538844	+	0.391493i
$345$	−1.49649	+	1.99641i	−0.0805682	+	0.107483i
$346$	7.98550			0.429303
$347$	9.46024	−	9.46024i	0.507852	−	0.507852i	−0.406014	−	0.913867i	$-0.633082\pi$
$347$	9.46024	−	9.46024i	0.507852	−	0.507852i	0.913867	+	0.406014i	$0.133082\pi$
$348$	−1.13301	−	0.577295i	−0.0607355	−	0.0309463i
$349$	25.6770	+	8.34295i	1.37446	+	0.446588i	0.900843	−	0.434145i	$-0.142949\pi$
$349$	25.6770	+	8.34295i	1.37446	+	0.446588i	0.473613	+	0.880733i	$0.342949\pi$
$350$	13.8081	−	17.8594i	0.738076	−	0.954623i
$351$	−0.788645	−	0.572984i	−0.0420948	−	0.0305836i
$352$	3.71802	+	1.89442i	0.198171	+	0.100973i
$353$	−4.64834	−	29.3485i	−0.247406	−	1.56206i	−0.728284	−	0.685275i	$-0.759682\pi$
$353$	−4.64834	−	29.3485i	−0.247406	−	1.56206i	0.480878	−	0.876788i	$-0.340318\pi$
$354$	5.63783	−	4.09613i	0.299647	−	0.217707i
$355$	3.79290	+	12.2946i	0.201306	+	0.652527i
$356$	8.54067	+	11.7552i	0.452655	+	0.623026i
$357$	−18.6200	−	2.94911i	−0.985473	−	0.156084i
$358$	−5.58128	+	2.84380i	−0.294980	+	0.150300i
$359$	−14.7489	−	20.3002i	−0.778419	−	1.07140i	−0.995455	−	0.0952378i	$-0.969639\pi$
$359$	−14.7489	−	20.3002i	−0.778419	−	1.07140i	0.217036	−	0.976164i	$-0.430361\pi$
$360$	−1.55737	−	1.60455i	−0.0820807	−	0.0845674i
$361$	−6.91798	−	21.2914i	−0.364104	−	1.12060i
$362$	−18.5843	+	2.94346i	−0.976769	+	0.154705i
$363$	−5.71357	+	2.91121i	−0.299885	+	0.152799i
$364$	1.36007	−	4.18586i	0.0712869	−	0.219398i
$365$	−2.13624	−	14.9257i	−0.111816	−	0.781246i
$366$	−4.59495			−0.240182
$367$	−3.58577	+	3.58577i	−0.187176	+	0.187176i	−0.794474	−	0.607298i	$-0.792253\pi$
$367$	−3.58577	+	3.58577i	−0.187176	+	0.187176i	0.607298	+	0.794474i	$0.292253\pi$
$368$	−0.506566	+	0.994191i	−0.0264066	+	0.0518258i
$369$	4.92845	+	6.78343i	0.256565	+	0.353131i
$370$	16.3454	+	0.243895i	0.849756	+	0.0126795i
$371$			24.4522i			1.26950i
$372$	−2.01134	−	5.19178i	−0.104283	−	0.269181i
$373$	0.243462	−	0.243462i	0.0126060	−	0.0126060i	−0.700776	−	0.713382i	$-0.747163\pi$
$373$	0.243462	−	0.243462i	0.0126060	−	0.0126060i	0.713382	+	0.700776i	$0.247163\pi$
$374$	10.2413	−	14.0959i	0.529564	−	0.728882i
$375$	−1.25312	−	11.1099i	−0.0647111	−	0.573712i
$376$	−1.64164	−	5.05245i	−0.0846611	−	0.260560i
$377$	−0.876516	−	0.876516i	−0.0451429	−	0.0451429i
$378$	−3.19256	−	3.19256i	−0.164208	−	0.164208i
$379$	−34.7736	+	11.2986i	−1.78620	+	0.580371i	−0.999325	−	0.0367447i	$-0.988301\pi$
$379$	−34.7736	+	11.2986i	−1.78620	+	0.580371i	−0.786873	+	0.617115i	$0.788301\pi$
$380$	−4.24067	−	13.7460i	−0.217542	−	0.705154i
$381$	−0.342578	+	1.05435i	−0.0175508	+	0.0540158i
$382$	3.84549	+	24.2795i	0.196752	+	1.24225i
$383$	−7.71672	+	15.1449i	−0.394306	+	0.773869i	−0.999758	−	0.0220132i	$-0.992992\pi$
$383$	−7.71672	+	15.1449i	−0.394306	+	0.773869i	0.605452	+	0.795882i	$0.292992\pi$
$384$	−0.809017	−	0.587785i	−0.0412850	−	0.0299953i
$385$	18.5635	+	37.8174i	0.946083	+	1.92735i
$386$	−3.84238	+	11.8256i	−0.195572	+	0.601909i
$387$	−1.93249	+	12.2013i	−0.0982340	+	0.620225i
$388$	−0.660710	+	4.17156i	−0.0335425	+	0.211779i
$389$	4.75963	−	14.6486i	0.241323	−	0.742715i	−0.754897	−	0.655844i	$-0.772313\pi$
$389$	4.75963	−	14.6486i	0.241323	−	0.742715i	0.996220	−	0.0868716i	$-0.0276870\pi$
$390$	−0.960504	−	1.95673i	−0.0486370	−	0.0990829i
$391$	3.76922	+	2.73850i	0.190618	+	0.138492i
$392$	6.07660	−	11.9260i	0.306915	−	0.602354i
$393$	1.55615	+	9.82515i	0.0784974	+	0.495613i
$394$	1.44165	−	4.43693i	0.0726291	−	0.223529i
$395$	3.84126	+	12.4513i	0.193275	+	0.626493i
$396$	3.96859	−	1.28947i	0.199429	−	0.0647985i
$397$	−22.5416	−	22.5416i	−1.13133	−	1.13133i	−0.989956	−	0.141373i	$-0.954848\pi$
$397$	−22.5416	−	22.5416i	−1.13133	−	1.13133i	−0.141373	−	0.989956i	$-0.545152\pi$
$398$	−5.30073	−	5.30073i	−0.265701	−	0.265701i
$399$	−8.97570	−	27.6244i	−0.449347	−	1.38295i
$400$	−1.40252	−	4.79926i	−0.0701259	−	0.239963i
$401$	−4.26560	+	5.87109i	−0.213014	+	0.293188i	−0.902132	−	0.431461i	$-0.857998\pi$
$401$	−4.26560	+	5.87109i	−0.213014	+	0.293188i	0.689118	+	0.724649i	$0.257998\pi$
$402$	−1.02330	+	1.02330i	−0.0510376	+	0.0510376i
$403$	−0.300778	−	5.41922i	−0.0149828	−	0.269951i
$404$			7.68230i			0.382209i
$405$	−2.23582	−	0.0333615i	−0.111099	−	0.00165775i
$406$	−3.37461	−	4.64475i	−0.167479	−	0.230515i
$407$	−13.8495	+	27.1813i	−0.686496	+	1.34733i
$408$	−2.95250	+	2.95250i	−0.146171	+	0.146171i
$409$	12.1435			0.600456			0.300228	−	0.953867i	$-0.402937\pi$
$409$	12.1435			0.600456			0.300228	+	0.953867i	$0.402937\pi$
$410$	2.65637	+	18.5598i	0.131189	+	0.916603i
$411$	−6.95474	+	21.4045i	−0.343052	+	1.05581i
$412$	−6.11323	+	3.11485i	−0.301177	+	0.153458i
$413$	31.0762	−	4.92199i	1.52916	−	0.242195i
$414$	0.344803	+	1.06120i	0.0169462	+	0.0521549i
$415$	−11.0095	−	11.3430i	−0.540434	−	0.556807i
$416$	−0.572984	−	0.788645i	−0.0280929	−	0.0386665i
$417$	3.70252	−	1.88653i	0.181313	−	0.0923836i
$418$	26.5145	+	4.19948i	1.29686	+	0.205403i
$419$	8.45620	+	11.6390i	0.413112	+	0.568600i	0.963974	−	0.265996i	$-0.0857008\pi$
$419$	8.45620	+	11.6390i	0.413112	+	0.568600i	−0.550862	+	0.834597i	$0.685701\pi$
$420$	−2.97616	−	9.64711i	−0.145222	−	0.470731i
$421$	−17.5821	+	12.7742i	−0.856901	+	0.622575i	−0.927040	−	0.374962i	$-0.877656\pi$
$421$	−17.5821	+	12.7742i	−0.856901	+	0.622575i	0.0701393	+	0.997537i	$0.477656\pi$
$422$	2.46377	+	15.5556i	0.119934	+	0.757237i
$423$	−4.73344	−	2.41181i	−0.230147	−	0.117266i
$424$	4.38149	+	3.18334i	0.212784	+	0.154597i
$425$	−20.7086	+	2.64925i	−1.00451	+	0.128508i
$426$	5.47237	+	1.77808i	0.265137	+	0.0861484i
$427$	−18.4848	−	9.41849i	−0.894543	−	0.455793i
$428$	13.8996	−	13.8996i	0.671864	−	0.671864i
$429$	4.06775			0.196393
$430$	−16.5680	+	22.1027i	−0.798978	+	1.06589i
$431$	−27.5563	+	20.0209i	−1.32734	+	0.964370i	−0.327533	+	0.944840i	$0.606217\pi$
$431$	−27.5563	+	20.0209i	−1.32734	+	0.964370i	−0.999809	+	0.0195306i	$0.993783\pi$
$432$	−0.987688	+	0.156434i	−0.0475202	+	0.00752646i
$433$	24.9968	+	24.9968i	1.20127	+	1.20127i	0.973781	+	0.227489i	$0.0730517\pi$
$433$	24.9968	+	24.9968i	1.20127	+	1.20127i	0.227489	+	0.973781i	$0.426948\pi$
$434$	2.55052	−	25.0085i	0.122429	−	1.20045i
$435$	−2.80143	−	0.486655i	−0.134318	−	0.0233333i
$436$	1.77812	+	1.29188i	0.0851565	+	0.0618698i
$437$	−1.12293	+	7.08992i	−0.0537172	+	0.339157i
$438$	−6.00805	−	3.06125i	−0.287076	−	0.146272i
$439$		−	38.4516i		−	1.83520i	−0.397510	−	0.917598i	$-0.630125\pi$
$439$		−	38.4516i		−	1.83520i	0.397510	−	0.917598i	$-0.369875\pi$
$440$	9.19305	+	1.59698i	0.438261	+	0.0761331i
$441$	−4.13615	−	12.7298i	−0.196960	−	0.606179i
$442$	−3.62668	+	1.84789i	−0.172504	+	0.0878951i
$443$	10.5978	+	20.7994i	0.503517	+	0.988208i	0.993212	+	0.116314i	$0.0371080\pi$
$443$	10.5978	+	20.7994i	0.503517	+	0.988208i	−0.489695	+	0.871894i	$0.662892\pi$
$444$	4.29712	−	5.91447i	0.203932	−	0.280688i
$445$	25.9976	+	19.4876i	1.23241	+	0.923799i
$446$	−4.87764	+	6.71350i	−0.230963	+	0.317893i
$447$	−0.931714	+	5.88261i	−0.0440686	+	0.278238i
$448$	−2.04975	−	4.02286i	−0.0968415	−	0.190062i
$449$	−17.1025	+	12.4257i	−0.807117	+	0.586405i	−0.912993	−	0.407974i	$-0.866235\pi$
$449$	−17.1025	+	12.4257i	−0.807117	+	0.586405i	0.105876	+	0.994379i	$0.466235\pi$
$450$	−4.38532	−	2.40186i	−0.206726	−	0.113225i
$451$	−33.2758	−	10.8120i	−1.56690	−	0.509115i
$452$	12.8060	+	2.02827i	0.602343	+	0.0954017i
$453$	−21.8757	+	3.46478i	−1.02781	+	0.162789i
$454$	14.3638	−	4.66709i	0.674127	−	0.219037i
$455$	0.146833	−	9.84044i	0.00688363	−	0.461327i
$456$	−6.11841	−	1.98799i	−0.286521	−	0.0930963i
$457$	−11.6840	−	22.9311i	−0.546554	−	1.07267i	−0.984780	−	0.173808i	$-0.944393\pi$
$457$	−11.6840	−	22.9311i	−0.546554	−	1.07267i	0.438225	−	0.898865i	$-0.355607\pi$
$458$	−1.35076	+	2.65102i	−0.0631169	+	0.123874i
$459$			4.17547i			0.194894i
$460$	−0.427030	+	2.45820i	−0.0199104	+	0.114614i
$461$	28.4672	−	9.24955i	1.32585	−	0.430794i	0.441349	−	0.897335i	$-0.354500\pi$
$461$	28.4672	−	9.24955i	1.32585	−	0.430794i	0.884500	+	0.466541i	$0.154500\pi$
$462$	18.6082	+	2.94725i	0.865732	+	0.137118i
$463$	−3.14765	−	19.8735i	−0.146284	−	0.923598i	−0.946222	−	0.323517i	$-0.895135\pi$
$463$	−3.14765	−	19.8735i	−0.146284	−	0.923598i	0.799939	−	0.600081i	$-0.204865\pi$
$464$	−1.27160			−0.0590326
$465$	−7.71992	−	9.76744i	−0.358003	−	0.452954i
$466$	5.33307			0.247050
$467$	−6.56741	−	41.4650i	−0.303904	−	1.91877i	−0.386702	−	0.922205i	$-0.626386\pi$
$467$	−6.56741	−	41.4650i	−0.303904	−	1.91877i	0.0827981	−	0.996566i	$-0.473614\pi$
$468$	−0.962817	−	0.152495i	−0.0445063	−	0.00704910i
$469$	−6.21410	+	2.01908i	−0.286941	+	0.0932327i
$470$	−6.83815	−	9.71343i	−0.315420	−	0.448047i
$471$		−	2.30171i		−	0.106057i
$472$	3.16374	−	6.20920i	0.145623	−	0.285801i
$473$	−23.4025	−	45.9300i	−1.07605	−	2.11186i
$474$	5.54214	+	1.80075i	0.254559	+	0.0827113i
$475$	−18.1221	−	26.5757i	−0.831498	−	1.21938i
$476$	−17.9294	+	5.82561i	−0.821791	+	0.267016i
$477$	5.34915	−	0.847222i	0.244921	−	0.0387916i
$478$	−1.93504	−	0.306481i	−0.0885068	−	0.0140181i
$479$	−23.2983	−	7.57009i	−1.06453	−	0.345886i	−0.276174	−	0.961108i	$-0.589067\pi$
$479$	−23.2983	−	7.57009i	−1.06453	−	0.345886i	−0.788354	+	0.615221i	$0.789067\pi$
$480$	−2.11608	−	0.722635i	−0.0965854	−	0.0329836i
$481$	5.76554	−	4.18891i	0.262886	−	0.190998i
$482$	−1.39604	−	2.73989i	−0.0635881	−	0.124799i
$483$	−0.788089	+	4.97580i	−0.0358593	+	0.226407i
$484$	−3.76917	+	5.18781i	−0.171326	+	0.235810i
$485$	1.33806	+	9.34890i	0.0607582	+	0.424512i
$486$	−0.587785	+	0.809017i	−0.0266625	+	0.0366978i
$487$	−10.5987	−	20.8011i	−0.480273	−	0.942589i	−0.996294	−	0.0860130i	$-0.972587\pi$
$487$	−10.5987	−	20.8011i	−0.480273	−	0.942589i	0.516021	−	0.856576i	$-0.327413\pi$
$488$	−4.09413	+	2.08606i	−0.185332	+	0.0944316i
$489$	−2.95531	−	9.09551i	−0.133644	−	0.411313i
$490$	5.12252	−	29.4878i	0.231412	−	1.33212i
$491$			31.3434i			1.41451i	0.706959	+	0.707254i	$0.250066\pi$
$491$			31.3434i			1.41451i	−0.706959	+	0.707254i	$0.749934\pi$
$492$	7.47089	+	3.80661i	0.336814	+	0.171615i
$493$	−0.830593	+	5.24416i	−0.0374080	+	0.236185i
$494$	−5.07357	−	3.68617i	−0.228271	−	0.165848i
$495$	7.62970	−	5.37123i	0.342930	−	0.241419i
$496$	−4.14913	−	3.71278i	−0.186301	−	0.166709i
$497$	18.3700	+	18.3700i	0.824006	+	0.824006i
$498$	−6.98223	+	1.10588i	−0.312881	+	0.0495555i
$499$	−3.48967	+	2.53539i	−0.156219	+	0.113500i	−0.663149	−	0.748488i	$-0.730780\pi$
$499$	−3.48967	+	2.53539i	−0.156219	+	0.113500i	0.506930	+	0.861987i	$0.330780\pi$
$500$	−6.16033	−	9.33008i	−0.275498	−	0.417254i
$501$	−2.61766			−0.116948
$502$	−4.07791	+	4.07791i	−0.182006	+	0.182006i
$503$	−22.1338	−	11.2777i	−0.986898	−	0.502850i	−0.115437	−	0.993315i	$-0.536827\pi$
$503$	−22.1338	−	11.2777i	−0.986898	−	0.502850i	−0.871461	+	0.490465i	$0.836827\pi$
$504$	−4.29398	−	1.39520i	−0.191269	−	0.0621471i
$505$	5.06400	+	16.4148i	0.225345	+	0.730447i
$506$	−3.76684	−	2.73677i	−0.167456	−	0.121664i
$507$	10.7364	+	5.47046i	0.476820	+	0.242952i
$508$	0.173424	+	1.09496i	0.00769445	+	0.0485808i
$509$	0.783034	−	0.568907i	0.0347074	−	0.0252164i	−0.570296	−	0.821439i	$-0.693172\pi$
$509$	0.783034	−	0.568907i	0.0347074	−	0.0252164i	0.605004	+	0.796223i	$0.293172\pi$
$510$	−4.36238	+	8.25483i	−0.193170	+	0.365530i
$511$	−17.8947	−	24.6300i	−0.791617	−	1.08957i
$512$	−0.987688	−	0.156434i	−0.0436501	−	0.00691349i
$513$	−5.73209	+	2.92065i	−0.253078	+	0.128950i
$514$	−15.4575	−	21.2755i	−0.681803	−	0.938421i
$515$	−11.0089	+	10.6852i	−0.485110	+	0.470846i
$516$	3.81740	+	11.7487i	0.168051	+	0.517209i
$517$	21.8950	−	3.46783i	0.962943	−	0.152515i
$518$	29.4099	−	14.9851i	1.29220	−	0.658406i
$519$	2.46765	−	7.59466i	0.108318	−	0.333368i
$520$	−1.74415	−	1.30740i	−0.0764861	−	0.0573333i
$521$	28.7951			1.26154			0.630768	−	0.775971i	$-0.282740\pi$
$521$	28.7951			1.26154			0.630768	+	0.775971i	$0.282740\pi$
$522$	−0.899158	+	0.899158i	−0.0393551	+	0.0393551i
$523$	1.24071	−	2.43502i	0.0542523	−	0.106476i	−0.862288	−	0.506417i	$-0.830970\pi$
$523$	1.24071	−	2.43502i	0.0542523	−	0.106476i	0.916541	+	0.399941i	$0.130970\pi$
$524$	5.84707	+	8.04780i	0.255430	+	0.351570i
$525$	−12.7183	−	18.6512i	−0.555073	−	0.814004i
$526$		−	14.7853i		−	0.644670i
$527$	−18.0219	+	14.6861i	−0.785045	+	0.639737i
$528$	2.95063	−	2.95063i	0.128410	−	0.128410i
$529$	−12.7873	+	17.6001i	−0.555968	+	0.765224i
$530$	11.4603	+	3.91366i	0.497805	+	0.169999i
$531$	−2.15346	−	6.62767i	−0.0934522	−	0.287616i
$532$	−20.5386	−	20.5386i	−0.890462	−	0.890462i
$533$	5.77964	+	5.77964i	0.250344	+	0.250344i
$534$	13.8191	−	4.49010i	0.598011	−	0.194306i
$535$	20.5370	−	38.8616i	0.887892	−	1.68013i
$536$	−0.447199	+	1.37634i	−0.0193160	+	0.0594487i
$537$	0.979908	+	6.18690i	0.0422862	+	0.266984i
$538$	11.7835	−	23.1265i	0.508024	−	0.997054i
$539$	45.1858	+	32.8294i	1.94629	+	1.41406i
$540$	−2.00728	+	0.985315i	−0.0863794	+	0.0424012i
$541$	12.2223	−	37.6163i	0.525477	−	1.61725i	−0.237895	−	0.971291i	$-0.576457\pi$
$541$	12.2223	−	37.6163i	0.525477	−	1.61725i	0.763372	−	0.645960i	$-0.223543\pi$
$542$	4.19754	−	26.5022i	0.180300	−	1.13837i
$543$	−2.94346	+	18.5843i	−0.126316	+	0.797528i
$544$	−1.29029	+	3.97110i	−0.0553207	+	0.170260i
$545$	4.65089	+	1.58826i	0.199222	+	0.0680337i
$546$	−3.56070	−	2.58700i	−0.152384	−	0.110713i
$547$	0.929966	−	1.82516i	0.0397625	−	0.0780383i	−0.870271	−	0.492574i	$-0.836056\pi$
$547$	0.929966	−	1.82516i	0.0397625	−	0.0780383i	0.910033	+	0.414536i	$0.136056\pi$
$548$	3.52072	+	22.2289i	0.150398	+	0.949573i
$549$	−1.41992	+	4.37006i	−0.0606006	+	0.186509i
$550$	20.6955	−	2.64758i	0.882458	−	0.112893i
$551$	−7.78018	+	2.52793i	−0.331447	+	0.107694i
$552$	0.788995	+	0.788995i	0.0335818	+	0.0335818i
$553$	18.6042	+	18.6042i	0.791130	+	0.791130i
$554$	−2.45124	−	7.54413i	−0.104143	−	0.320519i
$555$	5.28296	−	15.4700i	0.224249	−	0.656665i
$556$	2.44250	−	3.36181i	0.103585	−	0.142573i
$557$	−29.4626	+	29.4626i	−1.24837	+	1.24837i	−0.291932	+	0.956439i	$0.594298\pi$
$557$	−29.4626	+	29.4626i	−1.24837	+	1.24837i	−0.956439	+	0.291932i	$0.905702\pi$
$558$	−5.55921	+	0.308547i	−0.235340	+	0.0130619i
$559$			12.0423i			0.509334i
$560$	−7.03148	−	7.24449i	−0.297134	−	0.306136i
$561$	−10.2413	−	14.0959i	−0.432387	−	0.595129i
$562$	3.92356	−	7.70041i	0.165505	−	0.324822i
$563$	−17.3491	+	17.3491i	−0.731176	+	0.731176i	−0.970853	−	0.239676i	$-0.922959\pi$
$563$	−17.3491	+	17.3491i	−0.731176	+	0.731176i	0.239676	+	0.970853i	$0.422959\pi$
$564$	−5.31246			−0.223695
$565$	28.6995	−	4.10762i	1.20740	−	0.172809i
$566$	−4.80089	+	14.7756i	−0.201796	+	0.621065i
$567$	−4.02286	+	2.04975i	−0.168944	+	0.0860814i
$568$	5.68315	−	0.900123i	0.238460	−	0.0377683i
$569$	5.92958	+	18.2494i	0.248581	+	0.765054i	0.995027	+	0.0996076i	$0.0317587\pi$
$569$	5.92958	+	18.2494i	0.248581	+	0.765054i	−0.746446	+	0.665446i	$0.768241\pi$
$570$	−14.3836	−	0.214624i	−0.602465	−	0.00898960i
$571$	−5.67236	−	7.80733i	−0.237381	−	0.326727i	0.673661	−	0.739040i	$-0.264721\pi$
$571$	−5.67236	−	7.80733i	−0.237381	−	0.326727i	−0.911042	+	0.412314i	$0.864721\pi$
$572$	3.62439	−	1.84672i	0.151543	−	0.0772153i
$573$	24.2795	+	3.84549i	1.01429	+	0.160648i
$574$	22.2517	+	30.6269i	0.928770	+	1.27834i
$575$	0.707957	+	5.53393i	0.0295239	+	0.230781i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	−2.39742	−	15.1367i	−0.0998058	−	0.630149i	−0.985989	−	0.166813i	$-0.946652\pi$
$577$	−2.39742	−	15.1367i	−0.0998058	−	0.630149i	0.886183	−	0.463336i	$-0.153348\pi$
$578$	0.387151	+	0.197263i	0.0161033	+	0.00820506i
$579$	10.0595	+	7.30865i	0.418058	+	0.303737i
$580$	−2.71703	+	0.838211i	−0.112819	+	0.0348048i
$581$	−30.3553	−	9.86303i	−1.25935	−	0.409188i
$582$	3.76322	+	1.91746i	0.155990	+	0.0794811i
$583$	−15.9801	+	15.9801i	−0.661829	+	0.661829i
$584$	−6.74299			−0.279027
$585$	−2.15777	+	0.308831i	−0.0892129	+	0.0127686i
$586$	−11.1935	+	8.13252i	−0.462397	+	0.335951i
$587$	31.2908	−	4.95598i	1.29151	−	0.204555i	0.527387	−	0.849625i	$-0.323172\pi$
$587$	31.2908	−	4.95598i	1.29151	−	0.204555i	0.764123	+	0.645070i	$0.223172\pi$
$588$	−9.46453	−	9.46453i	−0.390311	−	0.390311i
$589$	−32.7671	−	14.4679i	−1.35014	−	0.596138i
$590$	2.66701	−	15.3527i	0.109799	−	0.632059i
$591$	−3.77428	−	2.74218i	−0.155253	−	0.112798i
$592$	1.14364	−	7.22068i	0.0470035	−	0.296768i
$593$	−5.56354	−	2.83476i	−0.228467	−	0.116410i	0.336010	−	0.941858i	$-0.390922\pi$
$593$	−5.56354	−	2.83476i	−0.228467	−	0.116410i	−0.564477	+	0.825448i	$0.690922\pi$
$594$		−	4.17283i		−	0.171213i
$595$	−34.4696	+	24.2662i	−1.41311	+	0.994818i
$596$	1.84049	+	5.66443i	0.0753893	+	0.232024i
$597$	−6.67931	+	3.40328i	−0.273366	+	0.139287i
$598$	0.493810	+	0.969156i	0.0201934	+	0.0396318i
$599$	9.20731	−	12.6728i	0.376201	−	0.517796i	−0.578372	−	0.815773i	$-0.696312\pi$
$599$	9.20731	−	12.6728i	0.376201	−	0.517796i	0.954573	+	0.297977i	$0.0963119\pi$
$600$	−4.99777	−	0.149181i	−0.204033	−	0.00609027i
$601$	−1.61735	+	2.22609i	−0.0659730	+	0.0908041i	−0.840729	−	0.541457i	$-0.817873\pi$
$601$	−1.61735	+	2.22609i	−0.0659730	+	0.0908041i	0.774756	+	0.632261i	$0.217873\pi$
$602$	−8.72512	+	55.0882i	−0.355609	+	2.24523i
$603$	0.657000	+	1.28943i	0.0267551	+	0.0525098i
$604$	−17.9185	+	13.0185i	−0.729092	+	0.529716i
$605$	−4.63389	+	13.5693i	−0.188394	+	0.551672i
$606$	7.30630	+	2.37396i	0.296798	+	0.0964356i
$607$	38.2761	+	6.06234i	1.55358	+	0.246063i	0.873408	−	0.486989i	$-0.161905\pi$
$607$	38.2761	+	6.06234i	1.55358	+	0.246063i	0.680172	+	0.733052i	$0.261905\pi$
$608$	−6.35407	+	1.00639i	−0.257692	+	0.0408144i
$609$	−5.46023	+	1.77414i	−0.221260	+	0.0718917i
$610$	−7.37284	+	7.15605i	−0.298517	+	0.289740i
$611$	−4.92522	−	1.60030i	−0.199253	−	0.0647413i
$612$	1.89562	+	3.72037i	0.0766260	+	0.150387i
$613$	18.1694	−	35.6595i	0.733856	−	1.44027i	−0.157758	−	0.987478i	$-0.550427\pi$
$613$	18.1694	−	35.6595i	0.733856	−	1.44027i	0.891614	−	0.452796i	$-0.149573\pi$
$614$			28.0718i			1.13288i
$615$	18.4723	+	3.20894i	0.744874	+	0.129397i
$616$	17.9180	−	5.82193i	0.721939	−	0.234572i
$617$	26.7437	+	4.23579i	1.07666	+	0.170526i	0.669487	−	0.742824i	$-0.266514\pi$
$617$	26.7437	+	4.23579i	1.07666	+	0.170526i	0.407175	+	0.913350i	$0.366514\pi$
$618$	1.07330	+	6.77657i	0.0431746	+	0.272594i
$619$	−24.0023			−0.964735			−0.482368	−	0.875969i	$-0.660223\pi$
$619$	−24.0023			−0.964735			−0.482368	+	0.875969i	$0.660223\pi$
$620$	−11.3128	−	5.19808i	−0.454334	−	0.208760i
$621$	1.11581			0.0447758
$622$	−2.66608	−	16.8330i	−0.106900	−	0.674941i
$623$	64.7959	+	10.2627i	2.59599	+	0.411165i
$624$	−0.927108	+	0.301236i	−0.0371140	+	0.0120591i
$625$	−19.3129	−	15.8748i	−0.772518	−	0.634993i
$626$			28.0273i			1.12020i
$627$	12.1874	−	23.9190i	0.486716	−	0.955234i
$628$	−1.04495	−	2.05084i	−0.0416982	−	0.0818372i
$629$	−29.0315	−	9.43291i	−1.15756	−	0.376115i
$630$	−10.0946	−	0.150626i	−0.402180	−	0.00600107i
$631$	33.6335	−	10.9282i	1.33893	−	0.435045i	0.449975	−	0.893041i	$-0.351433\pi$
$631$	33.6335	−	10.9282i	1.33893	−	0.435045i	0.888954	+	0.457996i	$0.151433\pi$
$632$	5.75561	−	0.911599i	0.228946	−	0.0362615i
$633$	15.5556	+	2.46377i	0.618281	+	0.0979261i
$634$	−4.22656	−	1.37329i	−0.167858	−	0.0545404i
$635$	1.09233	+	2.22528i	0.0433476	+	0.0883074i
$636$	4.38149	−	3.18334i	0.173738	−	0.126228i
$637$	−5.92359	−	11.6257i	−0.234701	−	0.460627i
$638$	0.830068	−	5.24085i	0.0328627	−	0.207487i
$639$	3.38211	−	4.65508i	0.133794	−	0.184152i
$640$	−2.21351	+	0.316808i	−0.0874967	+	0.0125230i
$641$	−20.0537	+	27.6016i	−0.792075	+	1.09020i	0.201772	+	0.979433i	$0.435330\pi$
$641$	−20.0537	+	27.6016i	−0.792075	+	1.09020i	−0.993847	+	0.110765i	$0.964670\pi$
$642$	−8.92411	−	17.5145i	−0.352206	−	0.691244i
$643$	43.7397	−	22.2865i	1.72493	−	0.878894i	0.748474	−	0.663164i	$-0.230787\pi$
$643$	43.7397	−	22.2865i	1.72493	−	0.878894i	0.976453	−	0.215731i	$-0.0692133\pi$
$644$	1.55677	+	4.79125i	0.0613454	+	0.188802i
$645$	15.9011	+	22.5872i	0.626106	+	0.889369i
$646$			26.8619i			1.05687i
$647$	−12.2605	−	6.24705i	−0.482011	−	0.245597i	0.196062	−	0.980592i	$-0.437185\pi$
$647$	−12.2605	−	6.24705i	−0.482011	−	0.245597i	−0.678073	+	0.734995i	$0.737185\pi$
$648$	−0.156434	+	0.987688i	−0.00614533	+	0.0388001i
$649$	23.5257	+	17.0924i	0.923465	+	0.670936i
$650$	−4.58854	−	1.64381i	−0.179977	−	0.0644757i
$651$	−22.9964	−	10.1537i	−0.901298	−	0.397956i
$652$	−6.76248	−	6.76248i	−0.264839	−	0.264839i
$653$	−13.6287	+	2.15858i	−0.533334	+	0.0844718i	−0.417292	−	0.908773i	$-0.637021\pi$
$653$	−13.6287	+	2.15858i	−0.533334	+	0.0844718i	−0.116042	+	0.993244i	$0.537021\pi$
$654$	1.77812	−	1.29188i	0.0695300	−	0.0505165i
$655$	17.7984	+	13.3415i	0.695439	+	0.521294i
$656$	8.38478			0.327371
$657$	−4.76802	+	4.76802i	−0.186018	+	0.186018i
$658$	−21.3713	−	10.8892i	−0.833139	−	0.424505i
$659$	−23.2376	−	7.55035i	−0.905207	−	0.294120i	−0.180823	−	0.983516i	$-0.557876\pi$
$659$	−23.2376	−	7.55035i	−0.905207	−	0.294120i	−0.724385	+	0.689396i	$0.757876\pi$
$660$	4.35963	−	8.24961i	0.169698	−	0.321116i
$661$	−12.9107	−	9.38015i	−0.502167	−	0.364846i	0.307677	−	0.951491i	$-0.400448\pi$
$661$	−12.9107	−	9.38015i	−0.502167	−	0.364846i	−0.809844	+	0.586645i	$0.800448\pi$
$662$	22.8573	+	11.6464i	0.888374	+	0.452649i
$663$	0.636739	+	4.02021i	0.0247289	+	0.156132i
$664$	−5.71916	+	4.15521i	−0.221946	+	0.161253i
$665$	−57.4234	−	30.3463i	−2.22679	−	1.17678i
$666$	−4.29712	−	5.91447i	−0.166510	−	0.229181i
$667$	1.40139	+	0.221959i	0.0542622	+	0.00859428i
$668$	−2.33235	+	1.18839i	−0.0902415	+	0.0459803i
$669$	4.87764	+	6.71350i	0.188580	+	0.259559i
$670$	−0.0482796	+	3.23560i	−0.00186520	+	0.125002i
$671$	−5.92507	−	18.2355i	−0.228735	−	0.703973i
$672$	−4.45937	+	0.706295i	−0.172024	+	0.0272459i
$673$	−0.167849	+	0.0855233i	−0.00647010	+	0.00329668i	−0.457223	−	0.889352i	$-0.651156\pi$
$673$	−0.167849	+	0.0855233i	−0.00647010	+	0.00329668i	0.450752	+	0.892649i	$0.351156\pi$
$674$	−7.97727	+	24.5515i	−0.307273	+	0.945689i
$675$	−3.63945	+	3.42847i	−0.140082	+	0.131962i
$676$	12.0497			0.463451
$677$	−26.1809	+	26.1809i	−1.00621	+	1.00621i	−0.00623246	+	0.999981i	$0.501984\pi$
$677$	−26.1809	+	26.1809i	−1.00621	+	1.00621i	−0.999981	+	0.00623246i	$0.998016\pi$
$678$	5.88626	−	11.5524i	0.226061	−	0.443669i
$679$	11.2086	+	15.4273i	0.430147	+	0.592046i
$680$	−0.139300	+	9.33558i	−0.00534190	+	0.358003i
$681$		−	15.1030i		−	0.578749i
$682$	18.0105	−	14.6768i	0.689657	−	0.562005i
$683$	5.35949	−	5.35949i	0.205075	−	0.205075i	−0.597095	−	0.802170i	$-0.703679\pi$
$683$	5.35949	−	5.35949i	0.205075	−	0.205075i	0.802170	+	0.597095i	$0.203679\pi$
$684$	−3.78139	+	5.20463i	−0.144585	+	0.199004i
$685$	22.1755	+	45.1758i	0.847283	+	1.72608i
$686$	−8.90816	−	27.4165i	−0.340115	−	1.04677i
$687$	2.10386	+	2.10386i	0.0802672	+	0.0802672i
$688$	8.73514	+	8.73514i	0.333024	+	0.333024i
$689$	5.02105	−	1.63144i	0.191287	−	0.0621529i
$690$	2.20593	+	1.16576i	0.0839784	+	0.0443796i
$691$	6.56213	−	20.1962i	0.249635	−	0.768299i	−0.745204	−	0.666836i	$-0.767648\pi$
$691$	6.56213	−	20.1962i	0.249635	−	0.768299i	0.994839	−	0.101462i	$-0.0323521\pi$
$692$	−1.24921	−	7.88718i	−0.0474877	−	0.299826i
$693$	8.55325	−	16.7867i	0.324911	−	0.637674i
$694$	−10.8237	−	7.86386i	−0.410861	−	0.298508i
$695$	3.00286	−	8.79323i	0.113905	−	0.333546i
$696$	−0.392946	+	1.20936i	−0.0148946	+	0.0458409i
$697$	5.47682	−	34.5793i	0.207450	−	1.30978i
$698$	4.22347	−	26.6660i	0.159861	−	1.00932i
$699$	1.64801	−	5.07205i	0.0623334	−	0.191843i
$700$	−19.7996	−	10.8443i	−0.748353	−	0.409877i
$701$	30.2485	+	21.9768i	1.14247	+	0.830054i	0.987462	−	0.157859i	$-0.0504592\pi$
$701$	30.2485	+	21.9768i	1.14247	+	0.830054i	0.155009	+	0.987913i	$0.450459\pi$
$702$	−0.442559	+	0.868570i	−0.0167033	+	0.0327821i
$703$	−7.35738	−	46.4527i	−0.277489	−	1.75200i
$704$	1.28947	−	3.96859i	0.0485989	−	0.149572i
$705$	−11.3511	+	3.50185i	−0.427508	+	0.131887i
$706$	−28.2600	+	9.18223i	−1.06358	+	0.345578i
$707$	24.5262	+	24.5262i	0.922402	+	0.922402i
$708$	−4.92765	−	4.92765i	−0.185192	−	0.185192i
$709$	4.59052	+	14.1282i	0.172400	+	0.530594i	0.999505	−	0.0314537i	$-0.0100137\pi$
$709$	4.59052	+	14.1282i	0.172400	+	0.530594i	−0.827105	+	0.562048i	$0.810014\pi$
$710$	11.5499	−	5.66950i	0.433458	−	0.212773i
$711$	3.42523	−	4.71443i	0.128456	−	0.176805i
$712$	10.2744	−	10.2744i	0.385051	−	0.385051i
$713$	3.92456	+	4.81597i	0.146976	+	0.180360i
$714$			18.8521i			0.705521i
$715$	6.52692	−	6.33501i	0.244093	−	0.236916i
$716$	3.68190	+	5.06770i	0.137599	+	0.189389i
$717$	−0.889441	+	1.74563i	−0.0332168	+	0.0651916i
$718$	−17.7430	+	17.7430i	−0.662163	+	0.662163i
$719$	37.6870			1.40549			0.702744	−	0.711443i	$-0.251958\pi$
$719$	37.6870			1.40549			0.702744	+	0.711443i	$0.251958\pi$
$720$	−1.34117	+	1.78921i	−0.0499825	+	0.0666798i
$721$	−9.57252	+	29.4612i	−0.356499	+	1.09719i
$722$	−19.9470	+	10.1635i	−0.742351	+	0.378247i
$723$	−3.03719	+	0.481044i	−0.112954	+	0.0178902i
$724$	5.81445	+	17.8950i	0.216092	+	0.665064i
$725$	−5.25295	+	3.58201i	−0.195090	+	0.133033i
$726$	3.76917	+	5.18781i	0.139887	+	0.192538i
$727$	−18.1694	+	9.25776i	−0.673865	+	0.343351i	−0.757212	−	0.653169i	$-0.773439\pi$
$727$	−18.1694	+	9.25776i	−0.673865	+	0.343351i	0.0833471	+	0.996521i	$0.473439\pi$
$728$	−4.34708	−	0.688510i	−0.161114	−	0.0255179i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−14.4078	+	4.44483i	−0.533255	+	0.164510i
$731$	41.7299	−	30.3185i	1.54344	−	1.12137i
$732$	0.718808	+	4.53838i	0.0265679	+	0.167743i
$733$	23.8501	+	12.1522i	0.880923	+	0.448853i	0.835101	−	0.550097i	$-0.185409\pi$
$733$	23.8501	+	12.1522i	0.880923	+	0.448853i	0.0458225	+	0.998950i	$0.485409\pi$
$734$	4.10256	+	2.98069i	0.151428	+	0.110019i
$735$	−26.4617	−	13.9840i	−0.976053	−	0.515809i
$736$	1.06120	+	0.344803i	0.0391162	+	0.0127096i
$737$	−5.38059	−	2.74155i	−0.198196	−	0.100986i
$738$	5.92893	−	5.92893i	0.218247	−	0.218247i
$739$	−24.9156			−0.916536			−0.458268	−	0.888814i	$-0.651530\pi$
$739$	−24.9156			−0.916536			−0.458268	+	0.888814i	$0.651530\pi$
$740$	−2.31609	−	16.1823i	−0.0851411	−	0.594873i
$741$	−5.07357	+	3.68617i	−0.186382	+	0.135415i
$742$	24.1512	−	3.82517i	0.886618	−	0.140426i
$743$	−8.24402	−	8.24402i	−0.302444	−	0.302444i	0.539525	−	0.841969i	$-0.318604\pi$
$743$	−8.24402	−	8.24402i	−0.302444	−	0.302444i	−0.841969	+	0.539525i	$0.818604\pi$
$744$	−4.81321	+	2.79875i	−0.176461	+	0.102607i
$745$	7.66643	+	10.8900i	0.280876	+	0.398978i
$746$	−0.278550	−	0.202379i	−0.0101985	−	0.00740961i
$747$	−1.10588	+	6.98223i	−0.0404619	+	0.255466i
$748$	−15.5244	−	7.91010i	−0.567630	−	0.289222i
$749$		−	88.7507i		−	3.24288i
$750$	−10.7771	+	2.97567i	−0.393523	+	0.108656i
$751$	8.50344	+	26.1709i	0.310295	+	0.954990i	0.977648	+	0.210248i	$0.0674272\pi$
$751$	8.50344	+	26.1709i	0.310295	+	0.954990i	−0.667353	+	0.744741i	$0.732573\pi$
$752$	−4.73344	+	2.41181i	−0.172611	+	0.0879495i
$753$	2.61818	+	5.13846i	0.0954117	+	0.187256i
$754$	−0.728608	+	1.00284i	−0.0265343	+	0.0365214i
$755$	−29.7048	+	39.6281i	−1.08107	+	1.44221i
$756$	−2.65383	+	3.65268i	−0.0965187	+	0.132847i
$757$	−4.93865	+	31.1814i	−0.179498	+	1.13331i	0.719220	+	0.694782i	$0.244499\pi$
$757$	−4.93865	+	31.1814i	−0.179498	+	1.13331i	−0.898719	+	0.438526i	$0.855501\pi$
$758$	16.5993	+	32.5779i	0.602913	+	1.18328i
$759$	−3.76684	+	2.73677i	−0.136728	+	0.0993384i
$760$	−12.9134	+	6.33881i	−0.468417	+	0.229933i
$761$	5.45103	+	1.77115i	0.197600	+	0.0642041i	0.406145	−	0.913809i	$-0.366873\pi$
$761$	5.45103	+	1.77115i	0.197600	+	0.0642041i	−0.208545	+	0.978013i	$0.566873\pi$
$762$	1.09496	+	0.173424i	0.0396661	+	0.00628249i
$763$	9.80116	−	1.55235i	0.354826	−	0.0561989i
$764$	23.3790	−	7.59629i	0.845822	−	0.274824i
$765$	6.50276	+	6.69976i	0.235108	+	0.242230i
$766$	16.1656	+	5.25253i	0.584087	+	0.189781i
$767$	−3.08408	−	6.05284i	−0.111360	−	0.218556i
$768$	−0.453990	+	0.891007i	−0.0163820	+	0.0321514i
$769$			13.2073i			0.476267i	0.971232	+	0.238133i	$0.0765355\pi$
$769$			13.2073i			0.476267i	−0.971232	+	0.238133i	$0.923464\pi$
$770$	34.4478	−	24.2509i	1.24141	−	0.873941i
$771$	−25.0108	+	8.12651i	−0.900743	+	0.292669i
$772$	12.2811	+	1.94514i	0.442007	+	0.0700071i
$773$	−4.00820	−	25.3068i	−0.144165	−	0.910221i	−0.948668	−	0.316273i	$-0.897569\pi$
$773$	−4.00820	−	25.3068i	−0.144165	−	0.910221i	0.804503	−	0.593948i	$-0.202431\pi$
$774$	12.3534			0.444032
$775$	−27.5986	−	3.64957i	−0.991370	−	0.131097i
$776$	4.22356			0.151617
$777$	−5.16351	−	32.6011i	−0.185240	−	1.16956i
$778$	−15.2129	−	2.40948i	−0.545407	−	0.0863840i
$779$	51.3015	−	16.6689i	1.83807	−	0.597224i
$780$	−1.78238	+	1.25478i	−0.0638196	+	0.0449283i
$781$			24.0104i			0.859161i
$782$	2.11515	−	4.15121i	0.0756375	−	0.148447i
$783$	0.577295	+	1.13301i	0.0206308	+	0.0404903i
$784$	−12.7298	−	4.13615i	−0.454634	−	0.147720i
$785$	−3.58461	−	3.69321i	−0.127940	−	0.131816i
$786$	9.46075	−	3.07398i	0.337454	−	0.109645i
$787$	42.0583	−	6.66138i	1.49922	−	0.237453i	0.647746	−	0.761856i	$-0.275712\pi$
$787$	42.0583	−	6.66138i	1.49922	−	0.237453i	0.851470	+	0.524404i	$0.175712\pi$
$788$	−4.60783	−	0.729809i	−0.164147	−	0.0259984i
$789$	−14.0617	−	4.56891i	−0.500608	−	0.162657i
$790$	11.6971	−	5.74178i	0.416164	−	0.204283i
$791$	47.3592	−	34.4085i	1.68390	−	1.22343i
$792$	−1.89442	−	3.71802i	−0.0673154	−	0.132114i
$793$	−0.700708	+	4.42410i	−0.0248829	+	0.157104i
$794$	−18.7378	+	25.7903i	−0.664979	+	0.915265i
$795$	7.26355	−	9.69003i	0.257612	−	0.343670i
$796$	−4.40625	+	6.06468i	−0.156175	+	0.214957i
$797$	7.69669	+	15.1056i	0.272631	+	0.535068i	0.986208	−	0.165508i	$-0.0529264\pi$
$797$	7.69669	+	15.1056i	0.272631	+	0.535068i	−0.713578	+	0.700576i	$0.752926\pi$
$798$	−25.8802	+	13.1866i	−0.916148	+	0.466801i
$799$	6.85461	+	21.0963i	0.242499	+	0.746334i
$800$	−4.52078	+	2.13602i	−0.159834	+	0.0755198i
$801$		−	14.5303i		−	0.513401i
$802$	6.46610	+	3.29464i	0.228326	+	0.116338i
$803$	4.40165	−	27.7909i	0.155331	−	0.980721i
$804$	1.17078	+	0.850623i	0.0412903	+	0.0299991i
$805$	6.48464	+	9.21128i	0.228554	+	0.324655i
$806$	−5.30545	+	1.14483i	−0.186877	+	0.0403248i
$807$	−18.3533	−	18.3533i	−0.646066	−	0.646066i
$808$	7.58772	−	1.20178i	0.266935	−	0.0422783i
$809$	−8.77501	+	6.37542i	−0.308513	+	0.224148i	−0.731258	−	0.682101i	$-0.761066\pi$
$809$	−8.77501	+	6.37542i	−0.308513	+	0.224148i	0.422745	+	0.906249i	$0.361066\pi$
$810$	0.316808	+	2.21351i	0.0111315	+	0.0777749i
$811$	37.9804			1.33367			0.666837	−	0.745204i	$-0.267648\pi$
$811$	37.9804			1.33367			0.666837	+	0.745204i	$0.267648\pi$
$812$	−4.05966	+	4.05966i	−0.142466	+	0.142466i
$813$	−23.9080	−	12.1817i	−0.838491	−	0.427232i
$814$	29.0132	+	9.42695i	1.01691	+	0.330414i
$815$	−18.9071	−	9.99171i	−0.662285	−	0.349994i
$816$	3.37802	+	2.45428i	0.118254	+	0.0859169i
$817$	70.8106	+	36.0798i	2.47735	+	1.26227i
$818$	−1.89966	−	11.9940i	−0.0664200	−	0.419359i
$819$	−3.56070	+	2.58700i	−0.124421	+	0.0903971i
$820$	17.9158	−	5.52706i	0.625645	−	0.193013i
$821$	−14.5848	−	20.0743i	−0.509013	−	0.700597i	0.474739	−	0.880127i	$-0.342542\pi$
$821$	−14.5848	−	20.0743i	−0.509013	−	0.700597i	−0.983753	+	0.179530i	$0.942542\pi$
$822$	22.2289	+	3.52072i	0.775323	+	0.122799i
$823$	25.1534	−	12.8163i	0.876792	−	0.446748i	0.0431601	−	0.999068i	$-0.486257\pi$
$823$	25.1534	−	12.8163i	0.876792	−	0.446748i	0.833632	+	0.552320i	$0.186257\pi$
$824$	4.03282	+	5.55070i	0.140490	+	0.193368i
$825$	3.87726	−	20.5007i	0.134989	−	0.713743i
$826$	−9.72279	−	29.9237i	−0.338299	−	1.04118i
$827$	−20.1810	+	3.19636i	−0.701764	+	0.111148i	−0.497112	−	0.867686i	$-0.665606\pi$
$827$	−20.1810	+	3.19636i	−0.701764	+	0.111148i	−0.204652	+	0.978835i	$0.565606\pi$
$828$	0.994191	−	0.506566i	0.0345505	−	0.0176044i
$829$	−7.94875	+	24.4637i	−0.276071	+	0.849661i	0.712862	+	0.701304i	$0.247398\pi$
$829$	−7.94875	+	24.4637i	−0.276071	+	0.849661i	−0.988934	+	0.148357i	$0.952602\pi$
$830$	−9.48110	+	12.6484i	−0.329094	+	0.439031i
$831$	−7.93237			−0.275171
$832$	−0.689301	+	0.689301i	−0.0238972	+	0.0238972i
$833$	−25.3726	+	49.7966i	−0.879110	+	1.72535i
$834$	−2.44250	−	3.36181i	−0.0845769	−	0.116410i
$835$	−4.20018	+	4.07667i	−0.145353	+	0.141079i
$836$		−	26.8450i		−	0.928452i
$837$	−1.42444	+	5.38247i	−0.0492360	+	0.186045i
$838$	10.1728	−	10.1728i	0.351414	−	0.351414i
$839$	−7.06140	+	9.71918i	−0.243786	+	0.335543i	−0.913323	−	0.407236i	$-0.866493\pi$
$839$	−7.06140	+	9.71918i	−0.243786	+	0.335543i	0.669537	+	0.742779i	$0.266493\pi$
$840$	−9.06277	+	4.44866i	−0.312695	+	0.153493i
$841$	−8.46182	−	26.0428i	−0.291787	−	0.898028i
$842$	15.3673	+	15.3673i	0.529594	+	0.529594i
$843$	−6.11108	−	6.11108i	−0.210477	−	0.210477i
$844$	14.9787	−	4.86688i	0.515588	−	0.167525i
$845$	25.7466	−	7.94291i	0.885712	−	0.273244i
$846$	−1.64164	+	5.05245i	−0.0564407	+	0.173707i
$847$	4.52911	+	28.5957i	0.155622	+	0.982559i
$848$	2.45873	−	4.82553i	0.0844332	−	0.165710i
$849$	12.5689	+	9.13183i	0.431363	+	0.313403i
$850$	5.85617	+	20.0392i	0.200865	+	0.687338i
$851$	−2.52075	+	7.75807i	−0.0864102	+	0.265943i
$852$	0.900123	−	5.68315i	0.0308377	−	0.194702i
$853$	−8.93888	+	56.4379i	−0.306062	+	1.93240i	0.0518816	+	0.998653i	$0.483478\pi$
$853$	−8.93888	+	56.4379i	−0.306062	+	1.93240i	−0.357943	+	0.933743i	$0.616522\pi$
$854$	−6.41087	+	19.7306i	−0.219375	+	0.675168i
$855$	−4.64891	+	13.6133i	−0.158989	+	0.465566i
$856$	−15.9029	−	11.5541i	−0.543549	−	0.394911i
$857$	16.0598	−	31.5192i	0.548594	−	1.07668i	−0.435692	−	0.900096i	$-0.643496\pi$
$857$	16.0598	−	31.5192i	0.548594	−	1.07668i	0.984286	−	0.176581i	$-0.0565036\pi$
$858$	−0.636337	−	4.01767i	−0.0217242	−	0.137161i
$859$	7.20519	−	22.1753i	0.245838	−	0.756612i	−0.749659	−	0.661824i	$-0.769783\pi$
$859$	7.20519	−	22.1753i	0.245838	−	0.756612i	0.995497	−	0.0947879i	$-0.0302173\pi$
$860$	24.4224	+	12.9064i	0.832796	+	0.440103i
$861$	36.0041	−	11.6984i	1.22702	−	0.398682i
$862$	24.0851	+	24.0851i	0.820342	+	0.820342i
$863$	10.9260	+	10.9260i	0.371926	+	0.371926i	0.868178	−	0.496252i	$-0.165291\pi$
$863$	10.9260	+	10.9260i	0.371926	+	0.371926i	−0.496252	+	0.868178i	$0.665291\pi$
$864$	0.309017	+	0.951057i	0.0105130	+	0.0323556i
$865$	−7.86823	−	16.0291i	−0.267528	−	0.545005i
$866$	20.7787	−	28.5994i	0.706089	−	0.971848i
$867$	0.307244	−	0.307244i	0.0104346	−	0.0104346i
$868$	−25.0996	+	1.39308i	−0.851936	+	0.0472842i
$869$			24.3165i			0.824882i
$870$	−0.0424225	+	2.84307i	−0.00143826	+	0.0963891i
$871$	0.829203	+	1.14130i	0.0280965	+	0.0386715i
$872$	0.997815	−	1.95832i	0.0337903	−	0.0663172i
$873$	2.98651	−	2.98651i	0.101078	−	0.101078i
$874$	7.17829			0.242809
$875$	−49.4540	−	10.1196i	−1.67185	−	0.342106i
$876$	−2.08370	+	6.41297i	−0.0704017	+	0.216674i
$877$	−26.5848	+	13.5456i	−0.897704	+	0.457403i	−0.841029	−	0.540990i	$-0.818050\pi$
$877$	−26.5848	+	13.5456i	−0.897704	+	0.457403i	−0.0566749	+	0.998393i	$0.518050\pi$
$878$	−37.9782	+	6.01516i	−1.28170	+	0.203002i
$879$	4.27552	+	13.1587i	0.144210	+	0.443832i
$880$	0.139212	−	9.32969i	0.00469283	−	0.314504i
$881$	18.3365	+	25.2381i	0.617774	+	0.850292i	0.997188	−	0.0749343i	$-0.0238747\pi$
$881$	18.3365	+	25.2381i	0.617774	+	0.850292i	−0.379415	+	0.925227i	$0.623875\pi$
$882$	−11.9260	+	6.07660i	−0.401569	+	0.204610i
$883$	40.7454	+	6.45344i	1.37119	+	0.217176i	0.798204	−	0.602388i	$-0.205784\pi$
$883$	40.7454	+	6.45344i	1.37119	+	0.217176i	0.572989	+	0.819563i	$0.305784\pi$
$884$	2.39248	+	3.29296i	0.0804677	+	0.110754i
$885$	−13.7771	−	7.28071i	−0.463112	−	0.244738i
$886$	18.8854	−	13.7211i	0.634469	−	0.460968i
$887$	5.81881	+	36.7385i	0.195376	+	1.23356i	0.869123	+	0.494596i	$0.164684\pi$
$887$	5.81881	+	36.7385i	0.195376	+	1.23356i	−0.673747	+	0.738962i	$0.735316\pi$
$888$	−6.51387	−	3.31898i	−0.218591	−	0.111378i
$889$	4.04938	+	2.94205i	0.135812	+	0.0986731i
$890$	15.1807	−	28.7261i	0.508859	−	0.962901i
$891$	−3.96859	−	1.28947i	−0.132953	−	0.0431990i
$892$	7.39387	+	3.76737i	0.247565	+	0.126141i
$893$	−24.1664	+	24.1664i	−0.808699	+	0.808699i
$894$	5.95594			0.199196
$895$	11.2076	+	8.40112i	0.374629	+	0.280819i
$896$	−3.65268	+	2.65383i	−0.122027	+	0.0886581i
$897$	1.07432	−	0.170155i	0.0358704	−	0.00568132i
$898$	14.9481	+	14.9481i	0.498826	+	0.498826i
$899$	−2.85972	+	6.47674i	−0.0953769	+	0.216011i
$900$	−1.68628	+	4.70707i	−0.0562092	+	0.156902i
$901$	−18.2948	−	13.2919i	−0.609487	−	0.442818i
$902$	−5.47336	+	34.5575i	−0.182243	+	1.15064i
$903$	49.6958	+	25.3213i	1.65377	+	0.842639i
$904$		−	12.9656i		−	0.431230i
$905$	24.2197	+	34.4036i	0.805091	+	1.14361i
$906$	6.84424	+	21.0644i	0.227385	+	0.699818i
$907$	−42.1245	+	21.4635i	−1.39872	+	0.712683i	−0.980657	−	0.195735i	$-0.937291\pi$
$907$	−42.1245	+	21.4635i	−1.39872	+	0.712683i	−0.418063	+	0.908418i	$0.637291\pi$
$908$	−6.85662	−	13.4569i	−0.227545	−	0.446582i
$909$	4.51554	−	6.21511i	0.149771	−	0.206142i
$910$	−9.74226	+	1.39436i	−0.322953	+	0.0462226i
$911$	−1.95860	+	2.69578i	−0.0648912	+	0.0893151i	−0.840229	−	0.542232i	$-0.817580\pi$
$911$	−1.95860	+	2.69578i	−0.0648912	+	0.0893151i	0.775338	+	0.631547i	$0.217580\pi$
$912$	−1.00639	+	6.35407i	−0.0333248	+	0.210404i
$913$	−13.3922	−	26.2836i	−0.443217	−	0.869862i
$914$	−20.8210	+	15.1274i	−0.688699	+	0.500369i
$915$	4.52747	+	9.22333i	0.149674	+	0.304914i
$916$	2.82968	+	0.919420i	0.0934954	+	0.0303785i
$917$	44.3602	+	7.02596i	1.46490	+	0.232018i
$918$	4.12406	−	0.653187i	0.136114	−	0.0215584i
$919$	−24.9389	+	8.10313i	−0.822657	+	0.267298i	−0.689949	−	0.723858i	$-0.742367\pi$
$919$	−24.9389	+	8.10313i	−0.822657	+	0.267298i	−0.132708	+	0.991155i	$0.542367\pi$
$920$	2.49474	+	0.0372250i	0.0822492	+	0.00122727i
$921$	26.6978	+	8.67465i	0.879723	+	0.285839i
$922$	−13.5889	−	26.6698i	−0.447527	−	0.878322i
$923$	2.54648	−	4.99775i	0.0838184	−	0.164503i
$924$		−	18.8401i		−	0.619795i
$925$	−15.6158	−	33.0500i	−0.513444	−	1.08668i
$926$	−19.1364	+	6.21779i	−0.628861	+	0.204329i
$927$	6.77657	+	1.07330i	0.222572	+	0.0352519i
$928$	0.198922	+	1.25595i	0.00652994	+	0.0412284i
$929$	5.17809			0.169888			0.0849438	−	0.996386i	$-0.472929\pi$
$929$	5.17809			0.169888			0.0849438	+	0.996386i	$0.472929\pi$
$930$	−8.43952	+	9.15284i	−0.276743	+	0.300133i
$931$	−86.1085			−2.82209
$932$	−0.834276	−	5.26741i	−0.0273276	−	0.172540i
$933$	−16.8330	−	2.66608i	−0.551087	−	0.0872836i
$934$	−39.9271	+	12.9731i	−1.30646	+	0.424493i
$935$	−38.3852	−	6.66814i	−1.25533	−	0.218072i
$936$			0.974819i			0.0318630i
$937$	−9.80652	+	19.2464i	−0.320365	+	0.628752i	−0.993885	−	0.110417i	$-0.964781\pi$
$937$	−9.80652	+	19.2464i	−0.320365	+	0.628752i	0.673520	+	0.739169i	$0.264781\pi$
$938$	2.96633	+	5.82174i	0.0968540	+	0.190087i
$939$	26.6556	+	8.66092i	0.869872	+	0.282638i
$940$	−8.52412	+	8.27348i	−0.278026	+	0.269851i
$941$	−17.3073	+	5.62347i	−0.564201	+	0.183320i	−0.577211	−	0.816595i	$-0.695859\pi$
$941$	−17.3073	+	5.62347i	−0.564201	+	0.183320i	0.0130096	+	0.999915i	$0.495859\pi$
$942$	−2.27337	+	0.360066i	−0.0740703	+	0.0117316i
$943$	−9.24061	−	1.46357i	−0.300916	−	0.0476603i
$944$	−6.62767	−	2.15346i	−0.215712	−	0.0700892i
$945$	−3.26267	+	9.55402i	−0.106135	+	0.310792i
$946$	−41.7035	+	30.2994i	−1.35590	+	0.985118i
$947$	−3.21162	−	6.30315i	−0.104364	−	0.204825i	0.832920	−	0.553394i	$-0.186668\pi$
$947$	−3.21162	−	6.30315i	−0.104364	−	0.204825i	−0.937283	+	0.348569i	$0.886668\pi$
$948$	0.911599	−	5.75561i	0.0296074	−	0.186934i
$949$	−3.86363	+	5.31783i	−0.125419	+	0.172624i
$950$	−23.4136	+	22.0563i	−0.759637	+	0.715602i
$951$	−2.61216	+	3.59533i	−0.0847050	+	0.116586i
$952$	8.55865	+	16.7973i	0.277388	+	0.544404i
$953$	5.46570	−	2.78491i	0.177051	−	0.0902122i	−0.363219	−	0.931704i	$-0.618322\pi$
$953$	5.46570	−	2.78491i	0.177051	−	0.0902122i	0.540270	+	0.841492i	$0.318322\pi$
$954$	−1.67358	−	5.15075i	−0.0541842	−	0.166762i
$955$	44.9466	−	31.6419i	1.45444	−	1.02391i
$956$			1.95916i			0.0633638i
$957$	−4.72784	−	2.40895i	−0.152829	−	0.0778704i
$958$	−3.83223	+	24.1957i	−0.123814	+	0.781728i
$959$	82.2072	+	59.7271i	2.65461	+	1.92869i
$960$	−0.382710	+	2.20307i	−0.0123519	+	0.0711039i
$961$	−28.2416	+	12.7833i	−0.911018	+	0.412366i
$962$	−5.03927	−	5.03927i	−0.162472	−	0.162472i
$963$	−19.4150	+	3.07504i	−0.625640	+	0.0990917i
$964$	−2.48777	+	1.80747i	−0.0801256	+	0.0582147i
$965$	27.5233	−	3.93926i	0.886005	−	0.126809i
$966$	5.03782			0.162089
$967$	10.6744	−	10.6744i	0.343266	−	0.343266i	−0.514328	−	0.857594i	$-0.671958\pi$
$967$	10.6744	−	10.6744i	0.343266	−	0.343266i	0.857594	+	0.514328i	$0.171958\pi$
$968$	5.71357	+	2.91121i	0.183641	+	0.0935698i
$969$	25.5472	+	8.30079i	0.820695	+	0.266660i
$970$	9.02448	−	2.78408i	0.289759	−	0.0893913i
$971$	22.8192	+	16.5791i	0.732303	+	0.532050i	0.890291	−	0.455392i	$-0.150501\pi$
$971$	22.8192	+	16.5791i	0.732303	+	0.532050i	−0.157988	+	0.987441i	$0.550501\pi$
$972$	0.891007	+	0.453990i	0.0285790	+	0.0145618i
$973$	−2.93496	−	18.5306i	−0.0940905	−	0.594064i
$974$	−18.8870	+	13.7222i	−0.605179	+	0.439689i
$975$	−2.98130	+	3.85599i	−0.0954779	+	0.123491i
$976$	2.70084	+	3.71739i	0.0864519	+	0.118991i
$977$	−23.4439	−	3.71315i	−0.750036	−	0.118794i	−0.230299	−	0.973120i	$-0.573970\pi$
$977$	−23.4439	−	3.71315i	−0.750036	−	0.118794i	−0.519738	+	0.854326i	$0.673970\pi$
$978$	−8.52122	+	4.34178i	−0.272478	+	0.138835i
$979$	35.6388	+	49.0525i	1.13902	+	1.56773i
$980$	−29.9261	−	0.446539i	−0.955955	−	0.0142642i
$981$	−0.679181	−	2.09031i	−0.0216846	−	0.0667383i
$982$	30.9575	−	4.90319i	0.987894	−	0.156467i
$983$	37.1142	−	18.9106i	1.18376	−	0.603155i	0.252529	−	0.967589i	$-0.418738\pi$
$983$	37.1142	−	18.9106i	1.18376	−	0.603155i	0.931229	+	0.364434i	$0.118738\pi$
$984$	2.59104	−	7.97440i	0.0825993	−	0.254214i
$985$	−10.3266	+	1.47800i	−0.329034	+	0.0470929i
$986$	5.30953			0.169090
$987$	−16.9603	+	16.9603i	−0.539853	+	0.539853i
$988$	−2.84710	+	5.58775i	−0.0905784	+	0.177770i
$989$	−8.10200	−	11.1515i	−0.257629	−	0.354596i
$990$	−6.49865	−	6.69552i	−0.206541	−	0.212798i
$991$			13.8931i			0.441330i	0.975350	+	0.220665i	$0.0708227\pi$
$991$			13.8931i			0.441330i	−0.975350	+	0.220665i	$0.929177\pi$
$992$	−3.01800	+	4.67885i	−0.0958216	+	0.148554i
$993$	18.1397	−	18.1397i	0.575645	−	0.575645i
$994$	15.2701	−	21.0175i	0.484338	−	0.666635i
$995$	−5.41713	+	15.8629i	−0.171735	+	0.502888i
$996$	2.18452	+	6.72327i	0.0692193	+	0.213035i
$997$	−7.77183	−	7.77183i	−0.246136	−	0.246136i	0.573247	−	0.819383i	$-0.305684\pi$
$997$	−7.77183	−	7.77183i	−0.246136	−	0.246136i	−0.819383	+	0.573247i	$0.805684\pi$
$998$	3.05008	+	3.05008i	0.0965486	+	0.0965486i
$999$	−6.95288	+	2.25913i	−0.219979	+	0.0714756i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.b.277.2	yes	128
5.3	odd	4		930.2.bj.a.463.2	✓	128
31.15	odd	10		930.2.bj.a.697.2	yes	128
155.108	even	20	inner	930.2.bj.b.883.2	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.463.2	✓	128	5.3	odd	4
930.2.bj.a.697.2	yes	128	31.15	odd	10
930.2.bj.b.277.2	yes	128	1.1	even	1	trivial
930.2.bj.b.883.2	yes	128	155.108	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:	\( N \)	\(=\)	\( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	930.bj (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.82843 + 1.28719i) q^{5} +1.00000i q^{6} +(-2.04975 + 4.02286i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(-0.156434 - 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-1.82843 + 1.28719i) q^{5} +1.00000i q^{6} +(-2.04975 + 4.02286i) q^{7} +(0.453990 + 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(1.55737 + 1.60455i) q^{10} +(-3.96859 + 1.28947i) q^{11} +(0.987688 - 0.156434i) q^{12} +(0.962817 + 0.152495i) q^{13} +(4.29398 + 1.39520i) q^{14} +(2.00728 - 0.985315i) q^{15} +(0.809017 - 0.587785i) q^{16} +(-1.89562 - 3.72037i) q^{17} +(0.156434 - 0.987688i) q^{18} +(3.78139 - 5.20463i) q^{19} +(1.34117 - 1.78921i) q^{20} +(2.65383 - 3.65268i) q^{21} +(1.89442 + 3.71802i) q^{22} +(-0.994191 + 0.506566i) q^{23} +(-0.309017 - 0.951057i) q^{24} +(1.68628 - 4.70707i) q^{25} -0.974819i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.706295 - 4.45937i) q^{28} +(-1.02875 - 0.747429i) q^{29} +(-1.28719 - 1.82843i) q^{30} +(-1.17440 - 5.44250i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(4.12145 - 0.652774i) q^{33} +(-3.37802 + 2.45428i) q^{34} +(-1.43038 - 9.99391i) q^{35} -1.00000 q^{36} +(5.16944 - 5.16944i) q^{37} +(-5.73209 - 2.92065i) q^{38} +(-0.927108 - 0.301236i) q^{39} +(-1.97698 - 1.04477i) q^{40} +(6.78343 + 4.92845i) q^{41} +(-4.02286 - 2.04975i) q^{42} +(1.93249 + 12.2013i) q^{43} +(3.37589 - 2.45273i) q^{44} +(-2.13670 + 0.659177i) q^{45} +(0.655855 + 0.902707i) q^{46} +(-5.24705 - 0.831052i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(-7.86742 - 10.8286i) q^{49} +(-4.91291 - 0.929168i) q^{50} +(1.29029 + 3.97110i) q^{51} +(-0.962817 + 0.152495i) q^{52} +(4.82553 - 2.45873i) q^{53} +(-0.309017 + 0.951057i) q^{54} +(5.59648 - 7.46605i) q^{55} -4.51496 q^{56} +(-4.54901 + 4.54901i) q^{57} +(-0.577295 + 1.13301i) q^{58} +(-4.09613 - 5.63783i) q^{59} +(-1.60455 + 1.55737i) q^{60} +4.59495i q^{61} +(-5.19178 + 2.01134i) q^{62} +(-3.19256 + 3.19256i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-1.95673 + 0.960504i) q^{65} +(-1.28947 - 3.96859i) q^{66} +(1.02330 + 1.02330i) q^{67} +(2.95250 + 2.95250i) q^{68} +(1.06120 - 0.344803i) q^{69} +(-9.64711 + 2.97616i) q^{70} +(1.77808 - 5.47237i) q^{71} +(0.156434 + 0.987688i) q^{72} +(-3.06125 + 6.00805i) q^{73} +(-5.91447 - 4.29712i) q^{74} +(-2.40186 + 4.38532i) q^{75} +(-1.98799 + 6.11841i) q^{76} +(2.94725 - 18.6082i) q^{77} +(-0.152495 + 0.962817i) q^{78} +(1.80075 - 5.54214i) q^{79} +(-0.722635 + 2.11608i) q^{80} +(0.809017 + 0.587785i) q^{81} +(3.80661 - 7.47089i) q^{82} +(1.10588 + 6.98223i) q^{83} +(-1.39520 + 4.29398i) q^{84} +(8.25483 + 4.36238i) q^{85} +(11.7487 - 3.81740i) q^{86} +(0.899158 + 0.899158i) q^{87} +(-2.95063 - 2.95063i) q^{88} +(-4.49010 - 13.8191i) q^{89} +(0.985315 + 2.00728i) q^{90} +(-2.58700 + 3.56070i) q^{91} +(0.788995 - 0.788995i) q^{92} +(0.308547 + 5.55921i) q^{93} +5.31246i q^{94} +(-0.214624 + 14.3836i) q^{95} +(0.587785 + 0.809017i) q^{96} +(1.91746 - 3.76322i) q^{97} +(-9.46453 + 9.46453i) q^{98} -4.17283 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q + 4 q^{7}+O(q^{10}) \) 128 * q + 4 * q^7	\( 128 q + 4 q^{7} - 4 q^{10} - 4 q^{15} + 32 q^{16} + 12 q^{17} + 40 q^{19} + 40 q^{21} + 4 q^{22} + 32 q^{24} - 8 q^{25} - 4 q^{28} - 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} - 64 q^{37} - 16 q^{38} - 24 q^{41} + 16 q^{42} - 24 q^{43} + 8 q^{44} + 20 q^{46} - 12 q^{47} + 100 q^{49} - 24 q^{50} + 64 q^{53} + 32 q^{54} + 68 q^{55} - 16 q^{57} + 40 q^{58} + 8 q^{62} - 4 q^{63} + 84 q^{65} - 12 q^{66} - 32 q^{67} - 8 q^{68} + 88 q^{70} + 24 q^{71} + 20 q^{73} + 16 q^{74} - 24 q^{75} - 24 q^{76} + 60 q^{77} + 56 q^{79} + 32 q^{81} - 16 q^{82} + 8 q^{83} - 68 q^{85} - 20 q^{87} + 4 q^{88} - 136 q^{89} - 40 q^{91} + 48 q^{93} - 92 q^{95} + 64 q^{97} - 16 q^{98} + 8 q^{99}+O(q^{100}) \) 128 * q + 4 * q^7 - 4 * q^10 - 4 * q^15 + 32 * q^16 + 12 * q^17 + 40 * q^19 + 40 * q^21 + 4 * q^22 + 32 * q^24 - 8 * q^25 - 4 * q^28 - 8 * q^29 + 20 * q^31 + 4 * q^33 + 24 * q^35 - 128 * q^36 - 64 * q^37 - 16 * q^38 - 24 * q^41 + 16 * q^42 - 24 * q^43 + 8 * q^44 + 20 * q^46 - 12 * q^47 + 100 * q^49 - 24 * q^50 + 64 * q^53 + 32 * q^54 + 68 * q^55 - 16 * q^57 + 40 * q^58 + 8 * q^62 - 4 * q^63 + 84 * q^65 - 12 * q^66 - 32 * q^67 - 8 * q^68 + 88 * q^70 + 24 * q^71 + 20 * q^73 + 16 * q^74 - 24 * q^75 - 24 * q^76 + 60 * q^77 + 56 * q^79 + 32 * q^81 - 16 * q^82 + 8 * q^83 - 68 * q^85 - 20 * q^87 + 4 * q^88 - 136 * q^89 - 40 * q^91 + 48 * q^93 - 92 * q^95 + 64 * q^97 - 16 * q^98 + 8 * q^99

Introduction

L-functions

Modular forms

Varieties

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Database

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