LMFDB - Embedded newform 930.2.bj.a.277.13

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			277.13
Character	$\chi$	$=$	930.277
Dual form			930.2.bj.a.883.13

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.284153 + 2.21794i) q^{5} -1.00000i q^{6} +(-0.874752 + 1.71680i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})$	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.284153 + 2.21794i) q^{5} -1.00000i q^{6} +(-0.874752 + 1.71680i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.23508 + 0.0663075i) q^{10} +(4.61439 - 1.49931i) q^{11} +(0.987688 - 0.156434i) q^{12} +(6.40159 + 1.01391i) q^{13} +(-1.83250 - 0.595416i) q^{14} +(0.627617 - 2.14618i) q^{15} +(0.809017 - 0.587785i) q^{16} +(1.51677 + 2.97683i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(-2.83161 + 3.89738i) q^{19} +(-0.415135 - 2.19719i) q^{20} +(1.13255 - 1.55882i) q^{21} +(2.20270 + 4.32304i) q^{22} +(-4.39111 + 2.23738i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-4.83851 - 1.26047i) q^{25} +6.48139i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.301419 - 1.90309i) q^{28} +(-0.190015 - 0.138054i) q^{29} +(2.21794 + 0.284153i) q^{30} +(-4.81555 - 2.79472i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-4.79212 + 0.758998i) q^{33} +(-2.70291 + 1.96378i) q^{34} +(-3.55919 - 2.42798i) q^{35} -1.00000 q^{36} +(-0.136620 + 0.136620i) q^{37} +(-4.29236 - 2.18707i) q^{38} +(-6.16416 - 2.00286i) q^{39} +(2.10520 - 0.753741i) q^{40} +(-5.41524 - 3.93440i) q^{41} +(1.71680 + 0.874752i) q^{42} +(1.59991 + 10.1014i) q^{43} +(-3.92523 + 2.85185i) q^{44} +(-0.955627 + 2.02158i) q^{45} +(-2.89676 - 3.98705i) q^{46} +(-6.82667 - 1.08124i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(1.93229 + 2.65957i) q^{49} +(0.488040 - 4.97612i) q^{50} +(-1.03242 - 3.17746i) q^{51} +(-6.40159 + 1.01391i) q^{52} +(4.78745 - 2.43933i) q^{53} +(0.309017 - 0.951057i) q^{54} +(2.01418 + 10.6605i) q^{55} +1.92681 q^{56} +(3.40644 - 3.40644i) q^{57} +(0.106629 - 0.209272i) q^{58} +(-5.72406 - 7.87849i) q^{59} +(0.0663075 + 2.23508i) q^{60} +4.74172i q^{61} +(2.00699 - 5.19346i) q^{62} +(-1.36246 + 1.36246i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-4.06783 + 13.9102i) q^{65} +(-1.49931 - 4.61439i) q^{66} +(10.2870 + 10.2870i) q^{67} +(-2.36243 - 2.36243i) q^{68} +(4.68706 - 1.52292i) q^{69} +(1.84131 - 3.89519i) q^{70} +(-2.15765 + 6.64057i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(4.47077 - 8.77437i) q^{73} +(-0.156310 - 0.113566i) q^{74} +(4.58176 + 2.00186i) q^{75} +(1.48867 - 4.58165i) q^{76} +(-1.46244 + 9.23350i) q^{77} +(1.01391 - 6.40159i) q^{78} +(2.86792 - 8.82656i) q^{79} +(1.07379 + 1.96137i) q^{80} +(0.809017 + 0.587785i) q^{81} +(3.03883 - 5.96405i) q^{82} +(-0.564792 - 3.56595i) q^{83} +(-0.595416 + 1.83250i) q^{84} +(-7.03343 + 2.51823i) q^{85} +(-9.72678 + 3.16042i) q^{86} +(0.166079 + 0.166079i) q^{87} +(-3.43078 - 3.43078i) q^{88} +(1.11695 + 3.43763i) q^{89} +(-2.14618 - 0.627617i) q^{90} +(-7.34049 + 10.1033i) q^{91} +(3.48481 - 3.48481i) q^{92} +(4.31907 + 3.51363i) q^{93} -6.91177i q^{94} +(-7.83955 - 7.38780i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-1.47059 + 2.88619i) q^{97} +(-2.32455 + 2.32455i) q^{98} +4.85186 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 128 q - 16 q^{7}+O(q^{10}) $ 128 * q - 16 * q^7	$ 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 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} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) $ 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * 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 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * 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
$5$	−0.284153	+	2.21794i	−0.127077	+	0.991893i
$5$	−0.284153	+	2.21794i	−0.127077	+	0.991893i
$6$		−	1.00000i		−	0.408248i
$7$	−0.874752	+	1.71680i	−0.330625	+	0.648889i	−0.995149	−	0.0983784i	$-0.968634\pi$
$7$	−0.874752	+	1.71680i	−0.330625	+	0.648889i	0.664524	+	0.747267i	$0.268634\pi$
$8$	−0.453990	−	0.891007i	−0.160510	−	0.315018i
$9$	0.951057	+	0.309017i	0.317019	+	0.103006i
$10$	−2.23508	+	0.0663075i	−0.706796	+	0.0209683i
$11$	4.61439	−	1.49931i	1.39129	−	0.452058i	0.484927	−	0.874555i	$-0.338846\pi$
$11$	4.61439	−	1.49931i	1.39129	−	0.452058i	0.906364	+	0.422497i	$0.138846\pi$
$12$	0.987688	−	0.156434i	0.285121	−	0.0451587i
$13$	6.40159	+	1.01391i	1.77548	+	0.281209i	0.956313	−	0.292344i	$-0.0944354\pi$
$13$	6.40159	+	1.01391i	1.77548	+	0.281209i	0.819168	+	0.573553i	$0.194435\pi$
$14$	−1.83250	−	0.595416i	−0.489757	−	0.159132i
$15$	0.627617	−	2.14618i	0.162050	−	0.554142i
$16$	0.809017	−	0.587785i	0.202254	−	0.146946i
$17$	1.51677	+	2.97683i	0.367871	+	0.721988i	0.998537	−	0.0540662i	$-0.0172182\pi$
$17$	1.51677	+	2.97683i	0.367871	+	0.721988i	−0.630666	+	0.776054i	$0.717218\pi$
$18$	−0.156434	+	0.987688i	−0.0368720	+	0.232800i
$19$	−2.83161	+	3.89738i	−0.649617	+	0.894121i	−0.999082	−	0.0428284i	$-0.986363\pi$
$19$	−2.83161	+	3.89738i	−0.649617	+	0.894121i	0.349466	+	0.936949i	$0.386363\pi$
$20$	−0.415135	−	2.19719i	−0.0928271	−	0.491308i
$21$	1.13255	−	1.55882i	0.247143	−	0.340162i
$22$	2.20270	+	4.32304i	0.469617	+	0.921674i
$23$	−4.39111	+	2.23738i	−0.915611	+	0.466527i	−0.847286	−	0.531136i	$-0.821765\pi$
$23$	−4.39111	+	2.23738i	−0.915611	+	0.466527i	−0.0683243	+	0.997663i	$0.521765\pi$
$24$	0.309017	+	0.951057i	0.0630778	+	0.194134i
$25$	−4.83851	−	1.26047i	−0.967703	−	0.252094i
$26$			6.48139i			1.27110i
$27$	−0.891007	−	0.453990i	−0.171474	−	0.0873705i
$28$	0.301419	−	1.90309i	0.0569629	−	0.359649i
$29$	−0.190015	−	0.138054i	−0.0352848	−	0.0256359i	0.570003	−	0.821643i	$-0.306942\pi$
$29$	−0.190015	−	0.138054i	−0.0352848	−	0.0256359i	−0.605288	+	0.796007i	$0.706942\pi$
$30$	2.21794	+	0.284153i	0.404939	+	0.0518790i
$31$	−4.81555	−	2.79472i	−0.864899	−	0.501946i
$31$	−4.81555	−	2.79472i	−0.864899	−	0.501946i
$32$	0.707107	+	0.707107i	0.125000	+	0.125000i
$33$	−4.79212	+	0.758998i	−0.834201	+	0.132125i
$34$	−2.70291	+	1.96378i	−0.463545	+	0.336785i
$35$	−3.55919	−	2.42798i	−0.601613	−	0.410404i
$36$	−1.00000			−0.166667
$37$	−0.136620	+	0.136620i	−0.0224602	+	0.0224602i	−0.718248	−	0.695787i	$-0.755056\pi$
$37$	−0.136620	+	0.136620i	−0.0224602	+	0.0224602i	0.695787	+	0.718248i	$0.255056\pi$
$38$	−4.29236	−	2.18707i	−0.696313	−	0.354789i
$39$	−6.16416	−	2.00286i	−0.987056	−	0.320714i
$40$	2.10520	−	0.753741i	0.332862	−	0.119177i
$41$	−5.41524	−	3.93440i	−0.845719	−	0.614450i	0.0782437	−	0.996934i	$-0.475069\pi$
$41$	−5.41524	−	3.93440i	−0.845719	−	0.614450i	−0.923962	+	0.382484i	$0.875069\pi$
$42$	1.71680	+	0.874752i	0.264908	+	0.134977i
$43$	1.59991	+	10.1014i	0.243984	+	1.54045i	0.740279	+	0.672300i	$0.234693\pi$
$43$	1.59991	+	10.1014i	0.243984	+	1.54045i	−0.496295	+	0.868154i	$0.665307\pi$
$44$	−3.92523	+	2.85185i	−0.591751	+	0.429933i
$45$	−0.955627	+	2.02158i	−0.142456	+	0.301359i
$46$	−2.89676	−	3.98705i	−0.427104	−	0.587858i
$47$	−6.82667	−	1.08124i	−0.995772	−	0.157715i	−0.362782	−	0.931874i	$-0.618173\pi$
$47$	−6.82667	−	1.08124i	−0.995772	−	0.157715i	−0.632991	+	0.774159i	$0.718173\pi$
$48$	−0.891007	+	0.453990i	−0.128606	+	0.0655279i
$49$	1.93229	+	2.65957i	0.276042	+	0.379939i
$50$	0.488040	−	4.97612i	0.0690193	−	0.703730i
$51$	−1.03242	−	3.17746i	−0.144568	−	0.444933i
$52$	−6.40159	+	1.01391i	−0.887741	+	0.140604i
$53$	4.78745	−	2.43933i	0.657608	−	0.335068i	−0.0931438	−	0.995653i	$-0.529692\pi$
$53$	4.78745	−	2.43933i	0.657608	−	0.335068i	0.750751	+	0.660585i	$0.229692\pi$
$54$	0.309017	−	0.951057i	0.0420519	−	0.129422i
$55$	2.01418	+	10.6605i	0.271592	+	1.43746i
$56$	1.92681			0.257481
$57$	3.40644	−	3.40644i	0.451194	−	0.451194i
$58$	0.106629	−	0.209272i	0.0140011	−	0.0274787i
$59$	−5.72406	−	7.87849i	−0.745209	−	1.02569i	−0.998302	−	0.0582503i	$-0.981448\pi$
$59$	−5.72406	−	7.87849i	−0.745209	−	1.02569i	0.253093	−	0.967442i	$-0.418552\pi$
$60$	0.0663075	+	2.23508i	0.00856026	+	0.288548i
$61$			4.74172i			0.607115i	0.952813	+	0.303558i	$0.0981745\pi$
$61$			4.74172i			0.607115i	−0.952813	+	0.303558i	$0.901826\pi$
$62$	2.00699	−	5.19346i	0.254888	−	0.659569i
$63$	−1.36246	+	1.36246i	−0.171654	+	0.171654i
$64$	−0.587785	+	0.809017i	−0.0734732	+	0.101127i
$65$	−4.06783	+	13.9102i	−0.504552	+	1.72535i
$66$	−1.49931	−	4.61439i	−0.184552	−	0.567992i
$67$	10.2870	+	10.2870i	1.25675	+	1.25675i	0.952634	+	0.304119i	$0.0983622\pi$
$67$	10.2870	+	10.2870i	1.25675	+	1.25675i	0.304119	+	0.952634i	$0.401638\pi$
$68$	−2.36243	−	2.36243i	−0.286487	−	0.286487i
$69$	4.68706	−	1.52292i	0.564255	−	0.183338i
$70$	1.84131	−	3.89519i	0.220079	−	0.465565i
$71$	−2.15765	+	6.64057i	−0.256066	+	0.788090i	0.737552	+	0.675291i	$0.235982\pi$
$71$	−2.15765	+	6.64057i	−0.256066	+	0.788090i	−0.993618	+	0.112800i	$0.964018\pi$
$72$	−0.156434	−	0.987688i	−0.0184360	−	0.116400i
$73$	4.47077	−	8.77437i	0.523264	−	1.02696i	−0.466537	−	0.884502i	$-0.654498\pi$
$73$	4.47077	−	8.77437i	0.523264	−	1.02696i	0.989800	−	0.142461i	$-0.0455015\pi$
$74$	−0.156310	−	0.113566i	−0.0181707	−	0.0132018i
$75$	4.58176	+	2.00186i	0.529056	+	0.231155i
$76$	1.48867	−	4.58165i	0.170762	−	0.525551i
$77$	−1.46244	+	9.23350i	−0.166661	+	1.05225i
$78$	1.01391	−	6.40159i	0.114803	−	0.724837i
$79$	2.86792	−	8.82656i	0.322667	−	0.993066i	−0.649816	−	0.760091i	$-0.725154\pi$
$79$	2.86792	−	8.82656i	0.322667	−	0.993066i	0.972483	−	0.232974i	$-0.0748459\pi$
$80$	1.07379	+	1.96137i	0.120053	+	0.219288i
$81$	0.809017	+	0.587785i	0.0898908	+	0.0653095i
$82$	3.03883	−	5.96405i	0.335583	−	0.658619i
$83$	−0.564792	−	3.56595i	−0.0619939	−	0.391414i	−0.999102	−	0.0423744i	$-0.986508\pi$
$83$	−0.564792	−	3.56595i	−0.0619939	−	0.391414i	0.937108	−	0.349040i	$-0.113492\pi$
$84$	−0.595416	+	1.83250i	−0.0649653	+	0.199942i
$85$	−7.03343	+	2.51823i	−0.762883	+	0.273141i
$86$	−9.72678	+	3.16042i	−1.04887	+	0.340797i
$87$	0.166079	+	0.166079i	0.0178055	+	0.0178055i
$88$	−3.43078	−	3.43078i	−0.365722	−	0.365722i
$89$	1.11695	+	3.43763i	0.118397	+	0.364388i	0.992640	−	0.121100i	$-0.0386420\pi$
$89$	1.11695	+	3.43763i	0.118397	+	0.364388i	−0.874243	+	0.485488i	$0.838642\pi$
$90$	−2.14618	−	0.627617i	−0.226227	−	0.0661566i
$91$	−7.34049	+	10.1033i	−0.769492	+	1.05912i
$92$	3.48481	−	3.48481i	0.363316	−	0.363316i
$93$	4.31907	+	3.51363i	0.447867	+	0.364346i
$94$		−	6.91177i		−	0.712894i
$95$	−7.83955	−	7.38780i	−0.804321	−	0.757973i
$96$	−0.587785	−	0.809017i	−0.0599906	−	0.0825700i
$97$	−1.47059	+	2.88619i	−0.149316	+	0.293049i	−0.953534	−	0.301285i	$-0.902584\pi$
$97$	−1.47059	+	2.88619i	−0.149316	+	0.293049i	0.804218	+	0.594334i	$0.202584\pi$
$98$	−2.32455	+	2.32455i	−0.234815	+	0.234815i
$99$	4.85186			0.487630
$100$	4.99121	−	0.296406i	0.499121	−	0.0296406i
$101$	−1.14289	+	3.51746i	−0.113722	+	0.350000i	−0.991678	−	0.128740i	$-0.958907\pi$
$101$	−1.14289	+	3.51746i	−0.113722	+	0.350000i	0.877956	+	0.478741i	$0.158907\pi$
$102$	2.97683	−	1.51677i	0.294750	−	0.150183i
$103$	6.30370	−	0.998408i	0.621122	−	0.0983761i	0.162061	−	0.986781i	$-0.448186\pi$
$103$	6.30370	−	0.998408i	0.621122	−	0.0983761i	0.459061	+	0.888405i	$0.348186\pi$
$104$	−2.00286	−	6.16416i	−0.196396	−	0.604446i
$105$	3.13555	+	2.95487i	0.305999	+	0.288366i
$106$	3.15822	+	4.34692i	0.306754	+	0.422210i
$107$	−7.83594	+	3.99261i	−0.757529	+	0.385980i	−0.789693	−	0.613502i	$-0.789760\pi$
$107$	−7.83594	+	3.99261i	−0.757529	+	0.385980i	0.0321638	+	0.999483i	$0.489760\pi$
$108$	0.987688	+	0.156434i	0.0950404	+	0.0150529i
$109$	1.30544	+	1.79679i	0.125039	+	0.172101i	0.866947	−	0.498400i	$-0.166079\pi$
$109$	1.30544	+	1.79679i	0.125039	+	0.172101i	−0.741908	+	0.670501i	$0.766079\pi$
$110$	−10.2141	+	3.65704i	−0.973880	+	0.348686i
$111$	0.156310	−	0.113566i	0.0148363	−	0.0107792i
$112$	0.301419	+	1.90309i	0.0284814	+	0.179825i
$113$	0.514060	+	0.261927i	0.0483587	+	0.0246400i	0.478003	−	0.878358i	$-0.341361\pi$
$113$	0.514060	+	0.261927i	0.0483587	+	0.0246400i	−0.429644	+	0.902998i	$0.641361\pi$
$114$	3.89738	+	2.83161i	0.365023	+	0.265205i
$115$	−3.71464	−	10.3750i	−0.346392	−	0.967473i
$116$	0.223376	+	0.0725792i	0.0207399	+	0.00673881i
$117$	5.77496	+	2.94249i	0.533895	+	0.272033i
$118$	6.88605	−	6.88605i	0.633913	−	0.633913i
$119$	−6.43742			−0.590118
$120$	−2.19719	+	0.415135i	−0.200575	+	0.0378965i
$121$	10.1455	−	7.37113i	0.922317	−	0.670103i
$122$	−4.68334	+	0.741769i	−0.424010	+	0.0671566i
$123$	4.73309	+	4.73309i	0.426769	+	0.426769i
$124$	5.44348	+	1.16985i	0.488839	+	0.105056i
$125$	4.17052	−	10.3734i	0.373023	−	0.927822i
$126$	−1.55882	−	1.13255i	−0.138871	−	0.100896i
$127$	−2.27792	+	14.3822i	−0.202133	+	1.27622i	0.652821	+	0.757513i	$0.273586\pi$
$127$	−2.27792	+	14.3822i	−0.202133	+	1.27622i	−0.854954	+	0.518705i	$0.826414\pi$
$128$	−0.891007	−	0.453990i	−0.0787546	−	0.0401275i
$129$		−	10.2273i		−	0.900468i
$130$	−14.3753	−	1.84171i	−1.26080	−	0.161528i
$131$	−4.81521	−	14.8197i	−0.420707	−	1.29480i	−0.907046	−	0.421033i	$-0.861668\pi$
$131$	−4.81521	−	14.8197i	−0.420707	−	1.29480i	0.486339	−	0.873770i	$-0.338332\pi$
$132$	4.32304	−	2.20270i	0.376272	−	0.191720i
$133$	−4.21406	−	8.27056i	−0.365405	−	0.717148i
$134$	−8.55108	+	11.7696i	−0.738701	+	1.01673i
$135$	1.26011	−	1.84720i	0.108453	−	0.158981i
$136$	1.96378	−	2.70291i	0.168393	−	0.231772i
$137$	−0.311221	+	1.96497i	−0.0265894	+	0.167879i	−0.997410	−	0.0719290i	$-0.977085\pi$
$137$	−0.311221	+	1.96497i	−0.0265894	+	0.167879i	0.970820	+	0.239808i	$0.0770845\pi$
$138$	2.23738	+	4.39111i	0.190459	+	0.373797i
$139$	5.67386	−	4.12230i	0.481251	−	0.349649i	−0.320559	−	0.947229i	$-0.603871\pi$
$139$	5.67386	−	4.12230i	0.481251	−	0.349649i	0.801810	+	0.597580i	$0.203871\pi$
$140$	4.13528	+	1.20930i	0.349495	+	0.102204i
$141$	6.57348	+	2.13585i	0.553587	+	0.179871i
$142$	−6.89634	−	1.09227i	−0.578728	−	0.0916615i
$143$	31.0596	−	4.91936i	2.59733	−	0.411377i
$144$	0.951057	−	0.309017i	0.0792547	−	0.0257514i
$145$	0.360188	−	0.382213i	0.0299120	−	0.0317410i
$146$	9.36573	+	3.04311i	0.775113	+	0.251850i
$147$	−1.49245	−	2.92910i	−0.123095	−	0.241588i
$148$	0.0877156	−	0.172152i	0.00721018	−	0.0141508i
$149$			5.30967i			0.434985i	0.976062	+	0.217492i	$0.0697877\pi$
$149$			5.30967i			0.434985i	−0.976062	+	0.217492i	$0.930212\pi$
$150$	−1.26047	+	4.83851i	−0.102917	+	0.395063i
$151$	5.69883	−	1.85166i	0.463764	−	0.150686i	−0.0678093	−	0.997698i	$-0.521601\pi$
$151$	5.69883	−	1.85166i	0.463764	−	0.150686i	0.531573	+	0.847012i	$0.321601\pi$
$152$	4.75812	+	0.753612i	0.385934	+	0.0611260i
$153$	0.522644	+	3.29985i	0.0422533	+	0.266777i
$154$	−9.34860			−0.753331
$155$	7.56687	−	9.88648i	0.607786	−	0.794101i
$156$	6.48139			0.518926
$157$	−1.69020	−	10.6715i	−0.134892	−	0.851678i	−0.958619	−	0.284691i	$-0.908109\pi$
$157$	−1.69020	−	10.6715i	−0.134892	−	0.851678i	0.823727	−	0.566987i	$-0.191891\pi$
$158$	9.16653	+	1.45184i	0.729250	+	0.115502i
$159$	−5.11011	+	1.66037i	−0.405258	+	0.131676i
$160$	−1.76925	+	1.36739i	−0.139871	+	0.108102i
$161$		−	9.49582i		−	0.748375i
$162$	−0.453990	+	0.891007i	−0.0356689	+	0.0700041i
$163$	−2.67569	−	5.25134i	−0.209576	−	0.411317i	0.762159	−	0.647390i	$-0.224139\pi$
$163$	−2.67569	−	5.25134i	−0.209576	−	0.411317i	−0.971735	+	0.236073i	$0.924139\pi$
$164$	6.36600	+	2.06844i	0.497101	+	0.161518i
$165$	−0.321715	−	10.8443i	−0.0250454	−	0.844228i
$166$	3.43370	−	1.11568i	0.266507	−	0.0865933i
$167$	−11.1017	+	1.75834i	−0.859079	+	0.136065i	−0.570406	−	0.821363i	$-0.693214\pi$
$167$	−11.1017	+	1.75834i	−0.859079	+	0.136065i	−0.288673	+	0.957428i	$0.593214\pi$
$168$	−1.90309	−	0.301419i	−0.146826	−	0.0232550i
$169$	27.5886	+	8.96408i	2.12220	+	0.689544i
$170$	−3.58750	−	6.55290i	−0.275149	−	0.502585i
$171$	−3.89738	+	2.83161i	−0.298040	+	0.216539i
$172$	−4.64312	−	9.11263i	−0.354034	−	0.694832i
$173$	−3.68903	+	23.2916i	−0.280472	+	1.77083i	0.297452	+	0.954737i	$0.403863\pi$
$173$	−3.68903	+	23.2916i	−0.280472	+	1.77083i	−0.577924	+	0.816091i	$0.696137\pi$
$174$	−0.138054	+	0.190015i	−0.0104658	+	0.0144050i
$175$	6.39647	−	7.20415i	0.483528	−	0.544583i
$176$	2.85185	−	3.92523i	0.214966	−	0.295876i
$177$	4.42112	+	8.67693i	0.332312	+	0.652198i
$178$	−3.22058	+	1.64097i	−0.241393	+	0.122996i
$179$	−7.33812	−	22.5844i	−0.548476	−	1.68804i	−0.712577	−	0.701593i	$-0.752472\pi$
$179$	−7.33812	−	22.5844i	−0.548476	−	1.68804i	0.164101	−	0.986444i	$-0.447528\pi$
$180$	0.284153	−	2.21794i	0.0211795	−	0.165315i
$181$			1.52078i			0.113039i	0.998402	+	0.0565193i	$0.0180002\pi$
$181$			1.52078i			0.113039i	−0.998402	+	0.0565193i	$0.982000\pi$
$182$	−11.1272	−	5.66961i	−0.824805	−	0.420259i
$183$	0.741769	−	4.68334i	0.0548331	−	0.346203i
$184$	3.98705	+	2.89676i	0.293929	+	0.213552i
$185$	−0.264194	−	0.341837i	−0.0194240	−	0.0251323i
$186$	−2.79472	+	4.81555i	−0.204919	+	0.353093i
$187$	11.4622	+	11.4622i	0.838196	+	0.838196i
$188$	6.82667	−	1.08124i	0.497886	−	0.0788574i
$189$	1.55882	−	1.13255i	0.113387	−	0.0823808i
$190$	6.07047	−	8.89874i	0.440398	−	0.645582i
$191$	9.72806			0.703898			0.351949	−	0.936019i	$-0.385519\pi$
$191$	9.72806			0.703898			0.351949	+	0.936019i	$0.385519\pi$
$192$	0.707107	−	0.707107i	0.0510310	−	0.0510310i
$193$	10.0148	+	5.10279i	0.720881	+	0.367307i	0.775625	−	0.631193i	$-0.217435\pi$
$193$	10.0148	+	5.10279i	0.720881	+	0.367307i	−0.0547450	+	0.998500i	$0.517435\pi$
$194$	−3.08071	−	1.00098i	−0.221182	−	0.0718664i
$195$	6.19379	−	13.1026i	0.443546	−	0.938299i
$196$	−2.65957	−	1.93229i	−0.189969	−	0.138021i
$197$	16.2851	+	8.29770i	1.16027	+	0.591186i	0.924709	−	0.380674i	$-0.124308\pi$
$197$	16.2851	+	8.29770i	1.16027	+	0.591186i	0.235559	+	0.971860i	$0.424308\pi$
$198$	0.758998	+	4.79212i	0.0539396	+	0.340561i
$199$	4.90293	−	3.56219i	0.347560	−	0.252517i	−0.400285	−	0.916391i	$-0.631089\pi$
$199$	4.90293	−	3.56219i	0.347560	−	0.252517i	0.747845	+	0.663874i	$0.231089\pi$
$200$	1.07355	+	4.88339i	0.0759117	+	0.345308i
$201$	−8.55108	−	11.7696i	−0.603147	−	0.830160i
$202$	−3.65294	−	0.578569i	−0.257020	−	0.0407080i
$203$	0.403226	−	0.205454i	0.0283009	−	0.0144200i
$204$	1.96378	+	2.70291i	0.137492	+	0.189241i
$205$	10.2650	−	10.8927i	0.716941	−	0.760780i
$206$	1.97223	+	6.06991i	0.137412	+	0.422910i
$207$	−4.86759	+	0.770950i	−0.338321	+	0.0535847i
$208$	5.77496	−	2.94249i	0.400421	−	0.204025i
$209$	−7.22280	+	22.2295i	−0.499612	+	1.53765i
$210$	−2.42798	+	3.55919i	−0.167547	+	0.245608i
$211$	−21.4098			−1.47391			−0.736957	−	0.675940i	$-0.763738\pi$
$211$	−21.4098			−1.47391			−0.736957	+	0.675940i	$0.763738\pi$
$212$	−3.79935	+	3.79935i	−0.260940	+	0.260940i
$213$	3.16990	−	6.22128i	0.217198	−	0.426275i
$214$	−5.16927	−	7.11489i	−0.353364	−	0.486364i
$215$	−22.8590	+	0.678150i	−1.55897	+	0.0462494i
$216$			1.00000i			0.0680414i
$217$	9.01039	−	5.82264i	0.611665	−	0.395267i
$218$	−1.57045	+	1.57045i	−0.106364	+	0.106364i
$219$	−5.78834	+	7.96696i	−0.391140	+	0.538358i
$220$	−5.20986	−	9.51630i	−0.351249	−	0.641589i
$221$	6.69151	+	20.5943i	0.450119	+	1.38533i
$222$	0.136620	+	0.136620i	0.00916935	+	0.00916935i
$223$	4.14735	+	4.14735i	0.277727	+	0.277727i	0.832201	−	0.554474i	$-0.187080\pi$
$223$	4.14735	+	4.14735i	0.277727	+	0.277727i	−0.554474	+	0.832201i	$0.687080\pi$
$224$	−1.83250	+	0.595416i	−0.122439	+	0.0397829i
$225$	−4.21219	−	2.69396i	−0.280813	−	0.179597i
$226$	−0.178285	+	0.548706i	−0.0118594	+	0.0364994i
$227$	0.130603	+	0.824592i	0.00866840	+	0.0547301i	0.991643	−	0.129009i	$-0.0411797\pi$
$227$	0.130603	+	0.824592i	0.00866840	+	0.0547301i	−0.982975	+	0.183739i	$0.941180\pi$
$228$	−2.18707	+	4.29236i	−0.144842	+	0.284269i
$229$	15.9798	+	11.6100i	1.05598	+	0.767212i	0.973340	−	0.229368i	$-0.0736660\pi$
$229$	15.9798	+	11.6100i	1.05598	+	0.767212i	0.0826363	+	0.996580i	$0.473666\pi$
$230$	9.66616	−	5.29191i	0.637368	−	0.348938i
$231$	2.88888	−	8.89104i	0.190074	−	0.584988i
$232$	−0.0367419	+	0.231979i	−0.00241223	+	0.0152302i
$233$	2.61217	−	16.4926i	0.171129	−	1.08047i	−0.741282	−	0.671193i	$-0.765782\pi$
$233$	2.61217	−	16.4926i	0.171129	−	1.08047i	0.912412	−	0.409274i	$-0.134218\pi$
$234$	−2.00286	+	6.16416i	−0.130931	+	0.402964i
$235$	4.33794	−	14.8339i	0.282976	−	0.967657i
$236$	7.87849	+	5.72406i	0.512846	+	0.372605i
$237$	−4.21339	+	8.26925i	−0.273689	+	0.537146i
$238$	−1.00703	−	6.35817i	−0.0652764	−	0.412139i
$239$	−5.87131	+	18.0700i	−0.379784	+	1.16885i	0.560411	+	0.828215i	$0.310643\pi$
$239$	−5.87131	+	18.0700i	−0.379784	+	1.16885i	−0.940194	+	0.340639i	$0.889357\pi$
$240$	−0.753741	−	2.10520i	−0.0486538	−	0.135890i
$241$	−17.6005	+	5.71873i	−1.13374	+	0.368376i	−0.814998	−	0.579464i	$-0.803262\pi$
$241$	−17.6005	+	5.71873i	−1.13374	+	0.368376i	−0.318747	+	0.947840i	$0.603262\pi$
$242$	8.86748	+	8.86748i	0.570023	+	0.570023i
$243$	−0.707107	−	0.707107i	−0.0453609	−	0.0453609i
$244$	−1.46527	−	4.50965i	−0.0938045	−	0.288700i
$245$	−6.44784	+	3.52998i	−0.411937	+	0.225522i
$246$	−3.93440	+	5.41524i	−0.250848	+	0.345263i
$247$	−22.0784	+	22.0784i	−1.40482	+	1.40482i
$248$	−0.303898	+	5.55946i	−0.0192976	+	0.353026i
$249$			3.61040i			0.228800i
$250$	10.8981	+	2.49643i	0.689254	+	0.157888i
$251$	−8.50004	−	11.6993i	−0.536518	−	0.738453i	0.451588	−	0.892226i	$-0.350858\pi$
$251$	−8.50004	−	11.6993i	−0.536518	−	0.738453i	−0.988106	+	0.153773i	$0.950858\pi$
$252$	0.874752	−	1.71680i	0.0551042	−	0.108148i
$253$	−16.9078	+	16.9078i	−1.06298	+	1.06298i
$254$	−14.5615			−0.913671
$255$	7.34078	−	1.38696i	0.459697	−	0.0868547i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	19.3382	−	9.85329i	1.20628	−	0.614631i	0.268979	−	0.963146i	$-0.413314\pi$
$257$	19.3382	−	9.85329i	1.20628	−	0.614631i	0.937303	+	0.348515i	$0.113314\pi$
$258$	10.1014	−	1.59991i	0.628888	−	0.0996060i
$259$	−0.115041	−	0.354058i	−0.00714827	−	0.0220001i
$260$	−0.429765	−	14.4864i	−0.0266529	−	0.898411i
$261$	−0.138054	−	0.190015i	−0.00854531	−	0.0117616i
$262$	13.8840	−	7.07424i	0.857755	−	0.437048i
$263$	24.9358	+	3.94944i	1.53761	+	0.243533i	0.867011	−	0.498290i	$-0.166038\pi$
$263$	24.9358	+	3.94944i	1.53761	+	0.243533i	0.670596	+	0.741823i	$0.266038\pi$
$264$	2.85185	+	3.92523i	0.175519	+	0.241581i
$265$	4.04992	+	11.3114i	0.248784	+	0.694856i
$266$	7.50951	−	5.45598i	0.460437	−	0.334527i
$267$	−0.565439	−	3.57004i	−0.0346043	−	0.218483i
$268$	−12.9623	−	6.60464i	−0.791801	−	0.403443i
$269$	−16.1671	−	11.7461i	−0.985724	−	0.716171i	−0.0267438	−	0.999642i	$-0.508514\pi$
$269$	−16.1671	−	11.7461i	−0.985724	−	0.716171i	−0.958981	+	0.283472i	$0.908514\pi$
$270$	2.02158	+	0.955627i	0.123029	+	0.0581576i
$271$	7.64722	+	2.48473i	0.464536	+	0.150937i	0.531928	−	0.846790i	$-0.321468\pi$
$271$	7.64722	+	2.48473i	0.464536	+	0.150937i	−0.0673920	+	0.997727i	$0.521468\pi$
$272$	2.97683	+	1.51677i	0.180497	+	0.0919678i
$273$	8.83062	−	8.83062i	0.534454	−	0.534454i
$274$	−1.98947			−0.120188
$275$	−24.2166	+	1.43812i	−1.46032	+	0.0867218i
$276$	−3.98705	+	2.89676i	−0.239992	+	0.174364i
$277$	24.1202	−	3.82027i	1.44924	−	0.229538i	0.618321	−	0.785926i	$-0.287813\pi$
$277$	24.1202	−	3.82027i	1.44924	−	0.229538i	0.830923	+	0.556388i	$0.187813\pi$
$278$	4.95914	+	4.95914i	0.297429	+	0.297429i
$279$	−3.71625	−	4.14602i	−0.222486	−	0.248216i
$280$	−0.547508	+	4.27354i	−0.0327199	+	0.255393i
$281$	−1.70469	−	1.23853i	−0.101693	−	0.0738846i	0.535776	−	0.844360i	$-0.320019\pi$
$281$	−1.70469	−	1.23853i	−0.101693	−	0.0738846i	−0.637470	+	0.770475i	$0.720019\pi$
$282$	−1.08124	+	6.82667i	−0.0643868	+	0.406522i
$283$	24.2055	+	12.3333i	1.43887	+	0.733140i	0.987266	−	0.159079i	$-0.0508524\pi$
$283$	24.2055	+	12.3333i	1.43887	+	0.733140i	0.451603	+	0.892219i	$0.350852\pi$
$284$		−	6.98231i		−	0.414324i
$285$	6.58732	+	8.52322i	0.390199	+	0.504872i
$286$	9.71758	+	29.9076i	0.574613	+	1.76848i
$287$	11.4916	−	5.85525i	0.678326	−	0.345624i
$288$	0.453990	+	0.891007i	0.0267516	+	0.0525031i
$289$	3.43141	−	4.72293i	0.201848	−	0.277820i
$290$	0.433853	+	0.295962i	0.0254767	+	0.0173795i
$291$	1.90398	−	2.62061i	0.111614	−	0.153623i
$292$	−1.54052	+	9.72647i	−0.0901522	+	0.569198i
$293$	4.51176	+	8.85482i	0.263580	+	0.517304i	0.984428	−	0.175789i	$-0.0562475\pi$
$293$	4.51176	+	8.85482i	0.263580	+	0.517304i	−0.720848	+	0.693093i	$0.756248\pi$
$294$	2.65957	−	1.93229i	0.155109	−	0.112694i
$295$	19.1005	−	10.4569i	1.11208	−	0.608825i
$296$	0.183754	+	0.0597052i	0.0106805	+	0.00347030i
$297$	−4.79212	−	0.758998i	−0.278067	−	0.0440415i
$298$	−5.24430	+	0.830615i	−0.303794	+	0.0481162i
$299$	−30.3786	+	9.87061i	−1.75684	+	0.570832i
$300$	−4.97612	−	0.488040i	−0.287297	−	0.0281770i
$301$	−18.7416	−	6.08953i	−1.08025	−	0.350995i
$302$	2.72036	+	5.33900i	0.156539	+	0.307225i
$303$	1.67907	−	3.29537i	0.0964603	−	0.189314i
$304$			4.81743i			0.276299i
$305$	−10.5169	−	1.34737i	−0.602193	−	0.0771505i
$306$	−3.17746	+	1.03242i	−0.181643	+	0.0590195i
$307$	−26.8090	−	4.24612i	−1.53007	−	0.242339i	−0.666091	−	0.745870i	$-0.732034\pi$
$307$	−26.8090	−	4.24612i	−1.53007	−	0.242339i	−0.863977	+	0.503531i	$0.832034\pi$
$308$	−1.46244	−	9.23350i	−0.0833304	−	0.526127i
$309$	−6.38228			−0.363075
$310$	10.9485	+	5.92713i	0.621832	+	0.336638i
$311$	9.98689			0.566305			0.283152	−	0.959075i	$-0.408620\pi$
$311$	9.98689			0.566305			0.283152	+	0.959075i	$0.408620\pi$
$312$	1.01391	+	6.40159i	0.0574015	+	0.362419i
$313$	32.1548	+	5.09282i	1.81750	+	0.287863i	0.970030	−	0.242985i	$-0.0781265\pi$
$313$	32.1548	+	5.09282i	1.81750	+	0.287863i	0.847467	+	0.530848i	$0.178127\pi$
$314$	10.2757	−	3.33878i	0.579891	−	0.188418i
$315$	−2.63470	−	3.40900i	−0.148449	−	0.192075i
$316$			9.28080i			0.522086i
$317$	0.780191	−	1.53121i	0.0438199	−	0.0860013i	−0.868058	−	0.496462i	$-0.834632\pi$
$317$	0.780191	−	1.53121i	0.0438199	−	0.0860013i	0.911878	+	0.410461i	$0.134632\pi$
$318$	−2.43933	−	4.78745i	−0.136791	−	0.268467i
$319$	−1.08379	−	0.352144i	−0.0606804	−	0.0197163i
$320$	−1.62733	−	1.53356i	−0.0909705	−	0.0857284i
$321$	8.36405	−	2.71765i	0.466836	−	0.151684i
$322$	9.37891	−	1.48547i	0.522666	−	0.0827822i
$323$	−15.8968	−	2.51780i	−0.884520	−	0.140094i
$324$	−0.951057	−	0.309017i	−0.0528365	−	0.0171676i
$325$	−29.6962	−	12.9748i	−1.64725	−	0.719714i
$326$	4.76812	−	3.46424i	0.264082	−	0.191866i
$327$	−1.00829	−	1.97888i	−0.0557586	−	0.109432i
$328$	−1.04711	+	6.61120i	−0.0578170	+	0.365042i
$329$	7.82792	−	10.7742i	0.431567	−	0.594001i
$330$	10.6605	−	2.01418i	0.586840	−	0.110877i
$331$	15.4722	−	21.2956i	0.850428	−	1.17051i	−0.133341	−	0.991070i	$-0.542571\pi$
$331$	15.4722	−	21.2956i	0.850428	−	1.17051i	0.983768	−	0.179443i	$-0.0574295\pi$
$332$	1.63909	+	3.21689i	0.0899567	+	0.176550i
$333$	−0.172152	+	0.0877156i	−0.00943385	+	0.00480679i
$334$	−3.47339	−	10.6900i	−0.190056	−	0.584931i
$335$	−25.7390	+	19.8928i	−1.40627	+	1.08686i
$336$		−	1.92681i		−	0.105116i
$337$	−7.80371	−	3.97619i	−0.425095	−	0.216597i	0.228337	−	0.973582i	$-0.426671\pi$
$337$	−7.80371	−	3.97619i	−0.425095	−	0.216597i	−0.653432	+	0.756985i	$0.726671\pi$
$338$	−4.53791	+	28.6512i	−0.246830	+	1.55842i
$339$	−0.466757	−	0.339119i	−0.0253508	−	0.0184184i
$340$	5.91102	−	4.56843i	0.320570	−	0.247758i
$341$	−26.4110	−	5.67594i	−1.43023	−	0.307369i
$342$	−3.40644	−	3.40644i	−0.184199	−	0.184199i
$343$	−19.5778	+	3.10082i	−1.05710	+	0.167429i
$344$	8.27410	−	6.01148i	0.446109	−	0.324117i
$345$	2.04590	+	10.8284i	0.110147	+	0.582979i
$346$	−23.5819			−1.26777
$347$	18.2793	−	18.2793i	0.981286	−	0.981286i	−0.0185424	−	0.999828i	$-0.505903\pi$
$347$	18.2793	−	18.2793i	0.981286	−	0.981286i	0.999828	+	0.0185424i	$0.00590256\pi$
$348$	−0.209272	−	0.106629i	−0.0112181	−	0.00571593i
$349$	22.7687	+	7.39799i	1.21878	+	0.396006i	0.846637	−	0.532170i	$-0.178623\pi$
$349$	22.7687	+	7.39799i	1.21878	+	0.396006i	0.372142	+	0.928176i	$0.378623\pi$
$350$	8.11609	+	5.19074i	0.433823	+	0.277457i
$351$	−5.24355	−	3.80966i	−0.279880	−	0.203345i
$352$	4.32304	+	2.20270i	0.230419	+	0.117404i
$353$	−4.59182	−	28.9916i	−0.244398	−	1.54307i	−0.738855	−	0.673865i	$-0.764633\pi$
$353$	−4.59182	−	28.9916i	−0.244398	−	1.54307i	0.494457	−	0.869202i	$-0.335367\pi$
$354$	−7.87849	+	5.72406i	−0.418737	+	0.304230i
$355$	−14.1153	−	6.67248i	−0.749161	−	0.354138i
$356$	−2.12457	−	2.92422i	−0.112602	−	0.154984i
$357$	6.35817	+	1.00703i	0.336510	+	0.0532979i
$358$	21.1584	−	10.7807i	1.11826	−	0.569780i
$359$	5.51862	+	7.59573i	0.291262	+	0.400887i	0.929423	−	0.369015i	$-0.120305\pi$
$359$	5.51862	+	7.59573i	0.291262	+	0.400887i	−0.638162	+	0.769902i	$0.720305\pi$
$360$	2.23508	−	0.0663075i	0.117799	−	0.00349471i
$361$	−1.30023	−	4.00169i	−0.0684331	−	0.210615i
$362$	−1.50205	+	0.237902i	−0.0789462	+	0.0125039i
$363$	−11.1737	+	5.69327i	−0.586466	+	0.298819i
$364$	3.85912	−	11.8772i	0.202273	−	0.622532i
$365$	18.1906	+	12.4092i	0.952142	+	0.649525i
$366$	4.74172			0.247854
$367$	−17.4864	+	17.4864i	−0.912782	+	0.912782i	−0.996490	−	0.0837086i	$-0.973324\pi$
$367$	−17.4864	+	17.4864i	−0.912782	+	0.912782i	0.0837086	+	0.996490i	$0.473324\pi$
$368$	−2.23738	+	4.39111i	−0.116632	+	0.228903i
$369$	−3.93440	−	5.41524i	−0.204817	−	0.281906i
$370$	0.296299	−	0.314417i	0.0154038	−	0.0163458i
$371$			10.3529i			0.537496i
$372$	−5.19346	−	2.00699i	−0.269268	−	0.104058i
$373$	−20.3193	+	20.3193i	−1.05209	+	1.05209i	−0.0535256	+	0.998566i	$0.517046\pi$
$373$	−20.3193	+	20.3193i	−1.05209	+	1.05209i	−0.998566	+	0.0535256i	$0.982954\pi$
$374$	−9.52797	+	13.1141i	−0.492679	+	0.678115i
$375$	−5.74193	+	9.59324i	−0.296512	+	0.495393i
$376$	2.13585	+	6.57348i	0.110148	+	0.339001i
$377$	−1.07642	−	1.07642i	−0.0554385	−	0.0554385i
$378$	1.36246	+	1.36246i	0.0700773	+	0.0700773i
$379$	31.1228	−	10.1124i	1.59867	−	0.519439i	0.631892	−	0.775056i	$-0.282279\pi$
$379$	31.1228	−	10.1124i	1.59867	−	0.519439i	0.966778	+	0.255617i	$0.0822785\pi$
$380$	9.73881	+	4.60366i	0.499590	+	0.236163i
$381$	4.49975	−	13.8488i	0.230529	−	0.709497i
$382$	1.52180	+	9.60829i	0.0778622	+	0.491603i
$383$	8.72032	−	17.1146i	0.445588	−	0.874515i	−0.553543	−	0.832821i	$-0.686724\pi$
$383$	8.72032	−	17.1146i	0.445588	−	0.874515i	0.999130	−	0.0416944i	$-0.0132756\pi$
$384$	0.809017	+	0.587785i	0.0412850	+	0.0299953i
$385$	−20.0638	−	5.86734i	−1.02255	−	0.299027i
$386$	−3.47331	+	10.6897i	−0.176787	+	0.544094i
$387$	−1.59991	+	10.1014i	−0.0813280	+	0.513485i
$388$	0.506731	−	3.19937i	0.0257253	−	0.162423i
$389$	−3.60717	+	11.1017i	−0.182891	+	0.562880i	−0.999906	−	0.0137367i	$-0.995627\pi$
$389$	−3.60717	+	11.1017i	−0.182891	+	0.562880i	0.817015	+	0.576617i	$0.195627\pi$
$390$	13.9102	+	4.06783i	0.704372	+	0.205982i
$391$	−13.3206	−	9.67801i	−0.673654	−	0.489438i
$392$	1.49245	−	2.92910i	0.0753803	−	0.147942i
$393$	2.43762	+	15.3905i	0.122962	+	0.776348i
$394$	−5.64798	+	17.3827i	−0.284541	+	0.875727i
$395$	18.7619	+	8.86898i	0.944011	+	0.446247i
$396$	−4.61439	+	1.49931i	−0.231882	+	0.0753430i
$397$	−17.7068	−	17.7068i	−0.888678	−	0.888678i	0.105718	−	0.994396i	$-0.466286\pi$
$397$	−17.7068	−	17.7068i	−0.888678	−	0.888678i	−0.994396	+	0.105718i	$0.966286\pi$
$398$	4.28532	+	4.28532i	0.214804	+	0.214804i
$399$	2.86838	+	8.82796i	0.143598	+	0.441951i
$400$	−4.65533	+	1.82427i	−0.232766	+	0.0912133i
$401$	1.87580	−	2.58182i	0.0936729	−	0.128930i	−0.759608	−	0.650381i	$-0.774609\pi$
$401$	1.87580	−	2.58182i	0.0936729	−	0.128930i	0.853281	+	0.521451i	$0.174609\pi$
$402$	10.2870	−	10.2870i	0.513067	−	0.513067i
$403$	−27.9936	−	22.7732i	−1.39446	−	1.13441i
$404$		−	3.69848i		−	0.184006i
$405$	−1.53356	+	1.62733i	−0.0762031	+	0.0808627i
$406$	0.266003	+	0.366122i	0.0132015	+	0.0181703i
$407$	−0.425584	+	0.835255i	−0.0210954	+	0.0414020i
$408$	−2.36243	+	2.36243i	−0.116958	+	0.116958i
$409$	−22.2783			−1.10159			−0.550795	−	0.834641i	$-0.685675\pi$
$409$	−22.2783			−1.10159			−0.550795	+	0.834641i	$0.685675\pi$
$410$	12.3644	+	8.43465i	0.610634	+	0.416558i
$411$	0.614779	−	1.89210i	0.0303248	−	0.0933302i
$412$	−5.68665	+	2.89749i	−0.280161	+	0.142749i
$413$	18.5329	−	2.93533i	0.911945	−	0.144438i
$414$	−1.52292	−	4.68706i	−0.0748473	−	0.230356i
$415$	8.06956	−	0.239397i	0.396119	−	0.0117515i
$416$	3.80966	+	5.24355i	0.186784	+	0.257086i
$417$	−6.24888	+	3.18396i	−0.306009	+	0.155919i
$418$	−23.0857	−	3.65642i	−1.12916	−	0.178841i
$419$	−10.0349	−	13.8119i	−0.490238	−	0.674754i	0.490194	−	0.871613i	$-0.336926\pi$
$419$	−10.0349	−	13.8119i	−0.490238	−	0.674754i	−0.980432	+	0.196859i	$0.936926\pi$
$420$	−3.89519	−	1.84131i	−0.190066	−	0.0898467i
$421$	22.0007	−	15.9845i	1.07225	−	0.779036i	0.0959352	−	0.995388i	$-0.469416\pi$
$421$	22.0007	−	15.9845i	1.07225	−	0.779036i	0.976315	+	0.216352i	$0.0694159\pi$
$422$	−3.34924	−	21.1462i	−0.163038	−	1.02938i
$423$	−6.15843	−	3.13788i	−0.299433	−	0.152569i
$424$	−4.34692	−	3.15822i	−0.211105	−	0.153377i
$425$	−3.58672	−	16.3153i	−0.173981	−	0.791408i
$426$	6.64057	+	2.15765i	0.321737	+	0.104539i
$427$	−8.14058	−	4.14783i	−0.393950	−	0.200728i
$428$	6.21864	−	6.21864i	0.300589	−	0.300589i
$429$	−31.4468			−1.51826
$430$	−4.24573	−	22.4715i	−0.204747	−	1.08367i
$431$	20.8162	−	15.1239i	1.00268	−	0.728491i	0.0400202	−	0.999199i	$-0.487258\pi$
$431$	20.8162	−	15.1239i	1.00268	−	0.728491i	0.962662	+	0.270708i	$0.0872578\pi$
$432$	−0.987688	+	0.156434i	−0.0475202	+	0.00752646i
$433$	−5.68884	−	5.68884i	−0.273388	−	0.273388i	0.557074	−	0.830463i	$-0.311924\pi$
$433$	−5.68884	−	5.68884i	−0.273388	−	0.273388i	−0.830463	+	0.557074i	$0.811924\pi$
$434$	7.16049	+	7.98859i	0.343715	+	0.383465i
$435$	−0.415545	+	0.321161i	−0.0199239	+	0.0153985i
$436$	−1.79679	−	1.30544i	−0.0860504	−	0.0625193i
$437$	3.71400	−	23.4493i	0.177665	−	1.12173i
$438$	−8.77437	−	4.47077i	−0.419256	−	0.213621i
$439$			19.4136i			0.926559i	0.886212	+	0.463279i	$0.153327\pi$
$439$			19.4136i			0.926559i	−0.886212	+	0.463279i	$0.846673\pi$
$440$	8.58413	−	6.63440i	0.409232	−	0.316283i
$441$	1.01587	+	3.12651i	0.0483746	+	0.148882i
$442$	−19.2940	+	9.83079i	−0.917722	+	0.467603i
$443$	−2.82206	−	5.53860i	−0.134080	−	0.263147i	0.814198	−	0.580587i	$-0.197177\pi$
$443$	−2.82206	−	5.53860i	−0.134080	−	0.263147i	−0.948278	+	0.317440i	$0.897177\pi$
$444$	−0.113566	+	0.156310i	−0.00538961	+	0.00741816i
$445$	−7.94185	+	1.50052i	−0.376480	+	0.0711316i
$446$	−3.44750	+	4.74508i	−0.163244	+	0.224686i
$447$	0.830615	−	5.24430i	0.0392867	−	0.248047i
$448$	−0.874752	−	1.71680i	−0.0413282	−	0.0811111i
$449$	−14.4854	+	10.5242i	−0.683607	+	0.496670i	−0.874552	−	0.484931i	$-0.838845\pi$
$449$	−14.4854	+	10.5242i	−0.683607	+	0.496670i	0.190945	+	0.981601i	$0.438845\pi$
$450$	2.00186	−	4.58176i	0.0943686	−	0.215986i
$451$	−30.8869	−	10.0358i	−1.45441	−	0.472566i
$452$	−0.569840	−	0.0902539i	−0.0268030	−	0.00424518i
$453$	−5.91833	+	0.937371i	−0.278067	+	0.0440416i
$454$	−0.794010	+	0.257989i	−0.0372647	+	0.0121080i
$455$	−20.3227	−	19.1517i	−0.952744	−	0.897843i
$456$	−4.58165	−	1.48867i	−0.214555	−	0.0697132i
$457$	17.9500	+	35.2288i	0.839664	+	1.64793i	0.758906	+	0.651200i	$0.225734\pi$
$457$	17.9500	+	35.2288i	0.839664	+	1.64793i	0.0807584	+	0.996734i	$0.474266\pi$
$458$	−8.96728	+	17.5993i	−0.419014	+	0.822361i
$459$		−	3.34098i		−	0.155944i
$460$	6.73888	+	8.71931i	0.314202	+	0.406540i
$461$	13.4562	−	4.37219i	0.626718	−	0.203633i	0.0215972	−	0.999767i	$-0.493125\pi$
$461$	13.4562	−	4.37219i	0.626718	−	0.203633i	0.605121	+	0.796134i	$0.293125\pi$
$462$	9.23350	+	1.46244i	0.429581	+	0.0680390i
$463$	−5.63169	−	35.5571i	−0.261727	−	1.65248i	−0.672027	−	0.740527i	$-0.734576\pi$
$463$	−5.63169	−	35.5571i	−0.261727	−	1.65248i	0.410300	−	0.911951i	$-0.365424\pi$
$464$	−0.234871			−0.0109036
$465$	−9.02030	+	8.58104i	−0.418306	+	0.397936i
$466$	16.6982			0.773529
$467$	−3.81679	−	24.0983i	−0.176620	−	1.11514i	−0.903569	−	0.428443i	$-0.859062\pi$
$467$	−3.81679	−	24.0983i	−0.176620	−	1.11514i	0.726949	−	0.686692i	$-0.240938\pi$
$468$	−6.40159	−	1.01391i	−0.295914	−	0.0468681i
$469$	−26.6592	+	8.66210i	−1.23101	+	0.399979i
$470$	15.3299	+	1.96400i	0.707115	+	0.0905926i
$471$			10.8045i			0.497846i
$472$	−4.42112	+	8.67693i	−0.203498	+	0.399388i
$473$	22.5277	+	44.2132i	1.03583	+	2.03292i
$474$	−8.82656	−	2.86792i	−0.405417	−	0.131728i
$475$	18.6133	−	15.2884i	0.854038	−	0.701479i
$476$	6.12235	−	1.98927i	0.280618	−	0.0911782i
$477$	5.30693	−	0.840536i	0.242988	−	0.0384855i
$478$	−18.7660	−	2.97225i	−0.858339	−	0.135947i
$479$	35.6428	+	11.5811i	1.62856	+	0.529152i	0.973940	−	0.226804i	$-0.0728278\pi$
$479$	35.6428	+	11.5811i	1.62856	+	0.529152i	0.654622	+	0.755956i	$0.272828\pi$
$480$	1.96137	−	1.07379i	0.0895240	−	0.0490115i
$481$	−1.01311	+	0.736066i	−0.0461937	+	0.0335617i
$482$	−8.40164	−	16.4892i	−0.382684	−	0.751060i
$483$	−1.48547	+	9.37891i	−0.0675914	+	0.426755i
$484$	−7.37113	+	10.1455i	−0.335051	+	0.461159i
$485$	−5.98353	−	4.08180i	−0.271698	−	0.185345i
$486$	0.587785	−	0.809017i	0.0266625	−	0.0366978i
$487$	−1.03594	−	2.03315i	−0.0469431	−	0.0921309i	0.866343	−	0.499449i	$-0.166464\pi$
$487$	−1.03594	−	2.03315i	−0.0469431	−	0.0921309i	−0.913286	+	0.407318i	$0.866464\pi$
$488$	4.22490	−	2.15270i	0.191252	−	0.0974480i
$489$	1.82126	+	5.60526i	0.0823601	+	0.253478i
$490$	−4.49519	−	5.81624i	−0.203072	−	0.262751i
$491$		−	13.7688i		−	0.621375i	−0.950512	−	0.310688i	$-0.899441\pi$
$491$		−	13.7688i		−	0.621375i	0.950512	−	0.310688i	$-0.100559\pi$
$492$	−5.96405	−	3.03883i	−0.268880	−	0.137001i
$493$	0.122754	−	0.775038i	0.00552856	−	0.0349060i
$494$	−25.2604	−	18.3528i	−1.13652	−	0.825731i
$495$	−1.37867	+	10.7611i	−0.0619666	+	0.483677i
$496$	−5.53856	+	0.569535i	−0.248689	+	0.0255729i
$497$	−9.51310	−	9.51310i	−0.426721	−	0.426721i
$498$	−3.56595	+	0.564792i	−0.159794	+	0.0253089i
$499$	26.6364	−	19.3525i	1.19241	−	0.866335i	0.198891	−	0.980022i	$-0.436266\pi$
$499$	26.6364	−	19.3525i	1.19241	−	0.866335i	0.993517	+	0.113687i	$0.0362660\pi$
$500$	−0.760857	+	11.1544i	−0.0340265	+	0.498841i
$501$	11.2401			0.502172
$502$	10.2256	−	10.2256i	0.456389	−	0.456389i
$503$	35.2906	+	17.9815i	1.57353	+	0.801754i	0.999850	−	0.0173256i	$-0.00551518\pi$
$503$	35.2906	+	17.9815i	1.57353	+	0.801754i	0.573680	+	0.819079i	$0.305515\pi$
$504$	1.83250	+	0.595416i	0.0816262	+	0.0265220i
$505$	−7.47676	−	3.53436i	−0.332711	−	0.157277i
$506$	−19.3446	−	14.0547i	−0.859972	−	0.624806i
$507$	−25.8466	−	13.1695i	−1.14789	−	0.584879i
$508$	−2.27792	−	14.3822i	−0.101066	−	0.638109i
$509$	9.01595	−	6.55047i	0.399625	−	0.290345i	−0.369763	−	0.929126i	$-0.620561\pi$
$509$	9.01595	−	6.55047i	0.399625	−	0.290345i	0.769388	+	0.638781i	$0.220561\pi$
$510$	2.51823	+	7.03343i	0.111509	+	0.311446i
$511$	11.1530	+	15.3508i	0.493380	+	0.679080i
$512$	0.987688	+	0.156434i	0.0436501	+	0.00691349i
$513$	4.29236	−	2.18707i	0.189512	−	0.0965614i
$514$	12.7571	+	17.5587i	0.562693	+	0.774481i
$515$	0.423193	+	14.2649i	0.0186481	+	0.628588i
$516$	3.16042	+	9.72678i	0.139130	+	0.428198i
$517$	−33.1220	+	5.24601i	−1.45671	+	0.230719i
$518$	0.331703	−	0.169011i	0.0145742	−	0.00742592i
$519$	7.28722	−	22.4278i	0.319873	−	0.984469i
$520$	14.2409	−	2.69065i	0.624503	−	0.117993i
$521$	−10.5304			−0.461347			−0.230673	−	0.973031i	$-0.574093\pi$
$521$	−10.5304			−0.461347			−0.230673	+	0.973031i	$0.574093\pi$
$522$	0.166079	−	0.166079i	0.00726908	−	0.00726908i
$523$	−16.6624	+	32.7019i	−0.728597	+	1.42995i	0.167398	+	0.985889i	$0.446464\pi$
$523$	−16.6624	+	32.7019i	−0.728597	+	1.42995i	−0.895995	+	0.444064i	$0.853536\pi$
$524$	9.15908	+	12.6064i	0.400116	+	0.550713i
$525$	−7.44470	+	6.11483i	−0.324913	+	0.266873i
$526$			25.2466i			1.10080i
$527$	1.01532	−	18.5740i	0.0442279	−	0.809098i
$528$	−3.43078	+	3.43078i	−0.149306	+	0.149306i
$529$	0.756937	−	1.04183i	0.0329103	−	0.0452972i
$530$	−10.5386	+	5.76955i	−0.457768	+	0.250613i
$531$	−3.00932	−	9.26172i	−0.130593	−	0.401925i
$532$	6.56355	+	6.56355i	0.284566	+	0.284566i
$533$	−30.6770	−	30.6770i	−1.32877	−	1.32877i
$534$	3.43763	−	1.11695i	0.148761	−	0.0483353i
$535$	−6.62877	−	18.5142i	−0.286587	−	0.800437i
$536$	4.49557	−	13.8359i	0.194179	−	0.597622i
$537$	3.71479	+	23.4543i	0.160305	+	1.01213i
$538$	9.07237	−	17.8055i	0.391138	−	0.767651i
$539$	12.9039	+	9.37520i	0.555809	+	0.403819i
$540$	−0.627617	+	2.14618i	−0.0270083	+	0.0923570i
$541$	3.13628	−	9.65246i	0.134839	−	0.414992i	−0.860726	−	0.509069i	$-0.829990\pi$
$541$	3.13628	−	9.65246i	0.134839	−	0.414992i	0.995565	+	0.0940768i	$0.0299899\pi$
$542$	−1.25785	+	7.94177i	−0.0540294	+	0.341128i
$543$	0.237902	−	1.50205i	0.0102094	−	0.0644593i
$544$	−1.03242	+	3.17746i	−0.0442646	+	0.136232i
$545$	−4.35611	+	2.38483i	−0.186595	+	0.102155i
$546$	10.1033	+	7.34049i	0.432382	+	0.314144i
$547$	−14.7202	+	28.8901i	−0.629392	+	1.23525i	0.327512	+	0.944847i	$0.393790\pi$
$547$	−14.7202	+	28.8901i	−0.629392	+	1.23525i	−0.956904	+	0.290404i	$0.906210\pi$
$548$	−0.311221	−	1.96497i	−0.0132947	−	0.0839395i
$549$	−1.46527	+	4.50965i	−0.0625363	+	0.192467i
$550$	−5.20873	−	23.6935i	−0.222101	−	1.01029i
$551$	1.07610	−	0.349645i	0.0458433	−	0.0148954i
$552$	−3.48481	−	3.48481i	−0.148323	−	0.148323i
$553$	12.6447	+	12.6447i	0.537708	+	0.537708i
$554$	7.54647	+	23.2256i	0.320619	+	0.986763i
$555$	0.207467	+	0.378957i	0.00880647	+	0.0160858i
$556$	−4.12230	+	5.67386i	−0.174824	+	0.240625i
$557$	−9.98844	+	9.98844i	−0.423224	+	0.423224i	−0.886312	−	0.463088i	$-0.846741\pi$
$557$	−9.98844	+	9.98844i	−0.423224	+	0.423224i	0.463088	+	0.886312i	$0.346741\pi$
$558$	3.51363	−	4.31907i	0.148744	−	0.182841i
$559$			66.2874i			2.80366i
$560$	−4.30658	+	0.127762i	−0.181986	+	0.00539892i
$561$	−9.52797	−	13.1141i	−0.402271	−	0.553679i
$562$	0.956611	−	1.87745i	0.0403522	−	0.0791956i
$563$	−4.33298	+	4.33298i	−0.182613	+	0.182613i	−0.792494	−	0.609880i	$-0.791218\pi$
$563$	−4.33298	+	4.33298i	−0.182613	+	0.182613i	0.609880	+	0.792494i	$0.291218\pi$
$564$	−6.91177			−0.291038
$565$	−0.727010	+	1.06573i	−0.0305855	+	0.0448355i
$566$	−8.39491	+	25.8369i	−0.352864	+	1.08600i
$567$	−1.71680	+	0.874752i	−0.0720988	+	0.0367362i
$568$	6.89634	−	1.09227i	0.289364	−	0.0458308i
$569$	10.4774	+	32.2462i	0.439236	+	1.35183i	0.888683	+	0.458523i	$0.151621\pi$
$569$	10.4774	+	32.2462i	0.439236	+	1.35183i	−0.449447	+	0.893307i	$0.648379\pi$
$570$	−7.38780	+	7.83955i	−0.309441	+	0.328363i
$571$	−11.5005	−	15.8290i	−0.481280	−	0.662425i	0.497471	−	0.867481i	$-0.334262\pi$
$571$	−11.5005	−	15.8290i	−0.481280	−	0.662425i	−0.978750	+	0.205056i	$0.934262\pi$
$572$	−28.0193	+	14.2765i	−1.17154	+	0.596932i
$573$	−9.60829	−	1.52180i	−0.401392	−	0.0635743i
$574$	7.58084	+	10.4341i	0.316418	+	0.435512i
$575$	24.0666	−	5.29075i	1.00365	−	0.220640i
$576$	−0.809017	+	0.587785i	−0.0337090	+	0.0244911i
$577$	2.71365	+	17.1333i	0.112971	+	0.713269i	0.977539	+	0.210754i	$0.0675918\pi$
$577$	2.71365	+	17.1333i	0.112971	+	0.713269i	−0.864569	+	0.502515i	$0.832408\pi$
$578$	5.20158	+	2.65034i	0.216357	+	0.110239i
$579$	−9.09324	−	6.60663i	−0.377902	−	0.274562i
$580$	−0.224449	+	0.474810i	−0.00931974	+	0.0197154i
$581$	6.61608	+	2.14969i	0.274481	+	0.0891843i
$582$	2.88619	+	1.47059i	0.119637	+	0.0609579i
$583$	18.4339	−	18.4339i	0.763453	−	0.763453i
$584$	−9.84771			−0.407501
$585$	−8.16723	+	11.9724i	−0.337674	+	0.494997i
$586$	−8.04001	+	5.84141i	−0.332130	+	0.241306i
$587$	6.68831	−	1.05932i	0.276056	−	0.0437230i	−0.0168713	−	0.999858i	$-0.505371\pi$
$587$	6.68831	−	1.05932i	0.276056	−	0.0437230i	0.292927	+	0.956135i	$0.405371\pi$
$588$	2.32455	+	2.32455i	0.0958629	+	0.0958629i
$589$	24.5279	−	10.8545i	1.01065	−	0.447251i
$590$	13.3162	+	17.2295i	0.548218	+	0.709329i
$591$	−14.7866	−	10.7431i	−0.608239	−	0.441912i
$592$	−0.0302247	+	0.190831i	−0.00124223	+	0.00784313i
$593$	−41.9148	−	21.3567i	−1.72123	−	0.877013i	−0.978174	−	0.207789i	$-0.933373\pi$
$593$	−41.9148	−	21.3567i	−1.72123	−	0.877013i	−0.743061	−	0.669224i	$-0.766627\pi$
$594$		−	4.85186i		−	0.199074i
$595$	1.82921	−	14.2778i	0.0749905	−	0.585333i
$596$	−1.64078	−	5.04979i	−0.0672089	−	0.206848i
$597$	−5.39982	+	2.75134i	−0.221000	+	0.112605i
$598$	−14.5014	−	28.4605i	−0.593004	−	1.16384i
$599$	−24.5856	+	33.8392i	−1.00454	+	1.38263i	−0.0820416	+	0.996629i	$0.526144\pi$
$599$	−24.5856	+	33.8392i	−1.00454	+	1.38263i	−0.922498	+	0.386001i	$0.873856\pi$
$600$	−0.296406	−	4.99121i	−0.0121007	−	0.203765i
$601$	7.00983	−	9.64820i	0.285937	−	0.393558i	−0.641752	−	0.766912i	$-0.721792\pi$
$601$	7.00983	−	9.64820i	0.285937	−	0.393558i	0.927689	+	0.373354i	$0.121792\pi$
$602$	3.08272	−	19.4635i	0.125642	−	0.793274i
$603$	6.60464	+	12.9623i	0.268962	+	0.527867i
$604$	−4.84771	+	3.52207i	−0.197251	+	0.143311i
$605$	13.4658	+	24.5966i	0.547465	+	0.999994i
$606$	3.51746	+	1.14289i	0.142887	+	0.0464268i
$607$	−23.9868	−	3.79914i	−0.973594	−	0.154202i	−0.350683	−	0.936494i	$-0.614050\pi$
$607$	−23.9868	−	3.79914i	−0.973594	−	0.154202i	−0.622912	+	0.782292i	$0.714050\pi$
$608$	−4.75812	+	0.753612i	−0.192967	+	0.0305630i
$609$	−0.430402	+	0.139846i	−0.0174408	+	0.00566685i
$610$	−0.314412	−	10.5981i	−0.0127302	−	0.429107i
$611$	−42.6053	−	13.8433i	−1.72362	−	0.560040i
$612$	−1.51677	−	2.97683i	−0.0613119	−	0.120331i
$613$	−16.2361	+	31.8651i	−0.655768	+	1.28702i	0.288386	+	0.957514i	$0.406881\pi$
$613$	−16.2361	+	31.8651i	−0.655768	+	1.28702i	−0.944154	+	0.329503i	$0.893119\pi$
$614$		−	27.1431i		−	1.09541i
$615$	−11.8426	+	9.15279i	−0.477541	+	0.369076i
$616$	8.89104	−	2.88888i	0.358230	−	0.116396i
$617$	35.6041	+	5.63914i	1.43337	+	0.227023i	0.824326	−	0.566116i	$-0.191554\pi$
$617$	35.6041	+	5.63914i	1.43337	+	0.227023i	0.609041	+	0.793139i	$0.291554\pi$
$618$	−0.998408	−	6.30370i	−0.0401619	−	0.253572i
$619$	−7.22860			−0.290542			−0.145271	−	0.989392i	$-0.546405\pi$
$619$	−7.22860			−0.290542			−0.145271	+	0.989392i	$0.546405\pi$
$620$	−4.14144	+	11.7409i	−0.166324	+	0.471526i
$621$	4.92826			0.197764
$622$	1.56229	+	9.86394i	0.0626423	+	0.395508i
$623$	−6.87878	−	1.08949i	−0.275592	−	0.0436496i
$624$	−6.16416	+	2.00286i	−0.246764	+	0.0801785i
$625$	21.8224	+	12.1976i	0.872897	+	0.487904i
$626$			32.5556i			1.30118i
$627$	10.6113	−	20.8259i	0.423776	−	0.831707i
$628$	4.90515	+	9.62689i	0.195737	+	0.384155i
$629$	−0.613918	−	0.199474i	−0.0244785	−	0.00795355i
$630$	2.95487	−	3.13555i	0.117725	−	0.124923i
$631$	5.05883	−	1.64371i	0.201389	−	0.0654351i	−0.206586	−	0.978428i	$-0.566235\pi$
$631$	5.05883	−	1.64371i	0.201389	−	0.0654351i	0.407974	+	0.912993i	$0.366235\pi$
$632$	−9.16653	+	1.45184i	−0.364625	+	0.0577510i
$633$	21.1462	+	3.34924i	0.840488	+	0.133120i
$634$	1.63441	+	0.531051i	0.0649106	+	0.0210907i
$635$	−31.2517	−	9.13905i	−1.24018	−	0.362672i
$636$	4.34692	−	3.15822i	0.172367	−	0.125232i
$637$	9.67317	+	18.9847i	0.383265	+	0.752200i
$638$	0.178267	−	1.12553i	0.00705764	−	0.0445602i
$639$	−4.10410	+	5.64880i	−0.162356	+	0.223463i
$640$	1.26011	−	1.84720i	0.0498101	−	0.0730168i
$641$	22.8865	−	31.5006i	0.903962	−	1.24420i	−0.0652247	−	0.997871i	$-0.520776\pi$
$641$	22.8865	−	31.5006i	0.903962	−	1.24420i	0.969187	−	0.246327i	$-0.0792236\pi$
$642$	3.99261	+	7.83594i	0.157576	+	0.309260i
$643$	28.3191	−	14.4293i	1.11680	−	0.569036i	0.204623	−	0.978841i	$-0.434403\pi$
$643$	28.3191	−	14.4293i	1.11680	−	0.569036i	0.912173	+	0.409805i	$0.134403\pi$
$644$	2.93437	+	9.03106i	0.115630	+	0.355874i
$645$	22.6836	+	2.90613i	0.893167	+	0.114429i
$646$		−	16.0949i		−	0.633246i
$647$	5.73565	+	2.92246i	0.225492	+	0.114894i	0.563087	−	0.826398i	$-0.309614\pi$
$647$	5.73565	+	2.92246i	0.225492	+	0.114894i	−0.337595	+	0.941291i	$0.609614\pi$
$648$	0.156434	−	0.987688i	0.00614533	−	0.0388001i
$649$	−38.2253	−	27.7723i	−1.50047	−	1.09016i
$650$	8.16959	−	31.3603i	0.320438	−	1.23005i
$651$	−9.81032	+	4.34142i	−0.384497	+	0.170154i
$652$	4.16749	+	4.16749i	0.163211	+	0.163211i
$653$	−10.3553	+	1.64012i	−0.405234	+	0.0641827i	−0.355724	−	0.934591i	$-0.615766\pi$
$653$	−10.3553	+	1.64012i	−0.405234	+	0.0641827i	−0.0495095	+	0.998774i	$0.515766\pi$
$654$	1.79679	−	1.30544i	0.0702599	−	0.0510468i
$655$	34.2375	−	6.46879i	1.33777	−	0.252756i
$656$	−6.69361			−0.261341
$657$	6.96338	−	6.96338i	0.271667	−	0.271667i
$658$	11.8661	+	6.04608i	0.462589	+	0.235701i
$659$	31.0088	+	10.0754i	1.20793	+	0.392480i	0.842673	−	0.538426i	$-0.180981\pi$
$659$	31.0088	+	10.0754i	1.20793	+	0.392480i	0.365258	+	0.930906i	$0.380981\pi$
$660$	3.65704	+	10.2141i	0.142350	+	0.397585i
$661$	21.0431	+	15.2887i	0.818483	+	0.594662i	0.916277	−	0.400544i	$-0.131179\pi$
$661$	21.0431	+	15.2887i	0.818483	+	0.594662i	−0.0977949	+	0.995207i	$0.531179\pi$
$662$	23.4538	+	11.9503i	0.911558	+	0.464462i
$663$	−3.38746	−	21.3876i	−0.131558	−	0.830624i
$664$	−2.92088	+	2.12214i	−0.113352	+	0.0823551i
$665$	19.5410	−	6.99642i	0.757769	−	0.271310i
$666$	−0.113566	−	0.156310i	−0.00440060	−	0.00605690i
$667$	1.14326	+	0.181074i	0.0442670	+	0.00701121i
$668$	10.0150	−	5.10291i	0.387493	−	0.197438i
$669$	−3.44750	−	4.74508i	−0.133288	−	0.183455i
$670$	−23.6744	−	22.3101i	−0.914620	−	0.861916i
$671$	7.10929	+	21.8802i	0.274451	+	0.844674i
$672$	1.90309	−	0.301419i	0.0734131	−	0.0116275i
$673$	7.53476	−	3.83915i	0.290444	−	0.147988i	−0.302698	−	0.953086i	$-0.597887\pi$
$673$	7.53476	−	3.83915i	0.290444	−	0.147988i	0.593142	+	0.805098i	$0.297887\pi$
$674$	2.70647	−	8.32965i	0.104249	−	0.320846i
$675$	3.73891	+	3.31973i	0.143911	+	0.127776i
$676$	−29.0084			−1.11571
$677$	−9.34209	+	9.34209i	−0.359046	+	0.359046i	−0.863461	−	0.504415i	$-0.831708\pi$
$677$	−9.34209	+	9.34209i	−0.359046	+	0.359046i	0.504415	+	0.863461i	$0.331708\pi$
$678$	0.261927	−	0.514060i	0.0100592	−	0.0197424i
$679$	−3.66861	−	5.04941i	−0.140788	−	0.193779i
$680$	5.43687	+	5.12358i	0.208495	+	0.196480i
$681$		−	0.834871i		−	0.0319923i
$682$	1.47447	−	26.9737i	0.0564604	−	1.03288i
$683$	−6.33133	+	6.33133i	−0.242262	+	0.242262i	−0.817785	−	0.575524i	$-0.804798\pi$
$683$	−6.33133	+	6.33133i	−0.242262	+	0.242262i	0.575524	+	0.817785i	$0.304798\pi$
$684$	2.83161	−	3.89738i	0.108269	−	0.149020i
$685$	−4.26976	−	1.24862i	−0.163139	−	0.0477075i
$686$	−6.12529	−	18.8517i	−0.233865	−	0.719762i
$687$	−13.9669	−	13.9669i	−0.532869	−	0.532869i
$688$	7.23183	+	7.23183i	0.275711	+	0.275711i
$689$	33.1206	−	10.7615i	1.26179	−	0.409982i
$690$	−10.3750	+	3.71464i	−0.394969	+	0.141414i
$691$	−13.8731	+	42.6971i	−0.527759	+	1.62428i	0.231036	+	0.972945i	$0.425789\pi$
$691$	−13.8731	+	42.6971i	−0.527759	+	1.62428i	−0.758795	+	0.651330i	$0.774211\pi$
$692$	−3.68903	−	23.2916i	−0.140236	−	0.885414i
$693$	−4.24417	+	8.32966i	−0.161223	+	0.316418i
$694$	20.9138	+	15.1948i	0.793877	+	0.576785i
$695$	7.53077	+	13.7556i	0.285658	+	0.521781i
$696$	0.0725792	−	0.223376i	0.00275111	−	0.00846703i
$697$	3.49837	−	22.0879i	0.132510	−	0.836637i
$698$	−3.74511	+	23.6457i	−0.141754	+	0.895002i
$699$	−5.16003	+	15.8809i	−0.195170	+	0.600672i
$700$	−3.85720	+	8.82818i	−0.145789	+	0.333674i
$701$	1.85088	+	1.34474i	0.0699067	+	0.0507902i	0.622190	−	0.782866i	$-0.286243\pi$
$701$	1.85088	+	1.34474i	0.0699067	+	0.0507902i	−0.552283	+	0.833657i	$0.686243\pi$
$702$	2.94249	−	5.77496i	0.111057	−	0.217962i
$703$	−0.145606	−	0.919317i	−0.00549162	−	0.0346727i
$704$	−1.49931	+	4.61439i	−0.0565072	+	0.173911i
$705$	−6.60507	+	13.9727i	−0.248761	+	0.526241i
$706$	27.9163	−	9.07057i	1.05065	−	0.341375i
$707$	−5.03902	−	5.03902i	−0.189512	−	0.189512i
$708$	−6.88605	−	6.88605i	−0.258794	−	0.258794i
$709$	−10.9582	−	33.7259i	−0.411545	−	1.26660i	−0.915305	−	0.402761i	$-0.868051\pi$
$709$	−10.9582	−	33.7259i	−0.411545	−	1.26660i	0.503760	−	0.863843i	$-0.331949\pi$
$710$	4.38221	−	14.9853i	0.164462	−	0.562388i
$711$	5.45512	−	7.50832i	0.204583	−	0.281584i
$712$	2.55587	−	2.55587i	0.0957851	−	0.0957851i
$713$	27.3985	+	1.49769i	1.02608	+	0.0560890i
$714$			6.43742i			0.240915i
$715$	2.08516	+	70.2862i	0.0779804	+	2.62855i
$716$	13.9579	+	19.2114i	0.521632	+	0.717965i
$717$	8.62580	−	16.9291i	0.322136	−	0.632228i
$718$	−6.63891	+	6.63891i	−0.247762	+	0.247762i
$719$	19.9086			0.742466			0.371233	−	0.928540i	$-0.378935\pi$
$719$	19.9086			0.742466			0.371233	+	0.928540i	$0.378935\pi$
$720$	0.415135	+	2.19719i	0.0154712	+	0.0818846i
$721$	−3.80011	+	11.6955i	−0.141524	+	0.435565i
$722$	3.74902	−	1.91022i	0.139524	−	0.0710911i
$723$	18.2784	−	2.89501i	0.679780	−	0.107667i
$724$	−0.469946	−	1.44635i	−0.0174654	−	0.0537530i
$725$	0.745376	+	0.907483i	0.0276826	+	0.0337031i
$726$	−7.37113	−	10.1455i	−0.273568	−	0.376534i
$727$	−16.2462	+	8.27786i	−0.602539	+	0.307009i	−0.728521	−	0.685024i	$-0.759792\pi$
$727$	−16.2462	+	8.27786i	−0.602539	+	0.307009i	0.125982	+	0.992033i	$0.459792\pi$
$728$	12.3346	+	1.95361i	0.457152	+	0.0724058i
$729$	0.587785	+	0.809017i	0.0217698	+	0.0299636i
$730$	−9.41073	+	19.9079i	−0.348307	+	0.736825i
$731$	−27.6436	+	20.0842i	−1.02243	+	0.742842i
$732$	0.741769	+	4.68334i	0.0274166	+	0.173101i
$733$	−27.4974	−	14.0106i	−1.01564	−	0.517495i	−0.134782	−	0.990875i	$-0.543034\pi$
$733$	−27.4974	−	14.0106i	−1.01564	−	0.517495i	−0.880858	+	0.473381i	$0.843034\pi$
$734$	−20.0066	−	14.5356i	−0.738456	−	0.536520i
$735$	6.92066	−	2.47786i	0.255273	−	0.0913972i
$736$	−4.68706	−	1.52292i	−0.172767	−	0.0561355i
$737$	62.8914	+	32.0448i	2.31663	+	1.18038i
$738$	4.73309	−	4.73309i	0.174228	−	0.174228i
$739$	−3.74886			−0.137904			−0.0689520	−	0.997620i	$-0.521966\pi$
$739$	−3.74886			−0.137904			−0.0689520	+	0.997620i	$0.521966\pi$
$740$	0.356897	+	0.243465i	0.0131198	+	0.00894996i
$741$	25.2604	−	18.3528i	0.927965	−	0.674206i
$742$	−10.2254	+	1.61955i	−0.375388	+	0.0594556i
$743$	−0.981626	−	0.981626i	−0.0360124	−	0.0360124i	0.688871	−	0.724884i	$-0.258107\pi$
$743$	−0.981626	−	0.981626i	−0.0360124	−	0.0360124i	−0.724884	+	0.688871i	$0.758107\pi$
$744$	1.16985	−	5.44348i	0.0428887	−	0.199568i
$745$	−11.7765	−	1.50876i	−0.431458	−	0.0552766i
$746$	−23.2477	−	16.8905i	−0.851160	−	0.618404i
$747$	0.564792	−	3.56595i	0.0206646	−	0.130471i
$748$	−14.4432	−	7.35916i	−0.528095	−	0.269078i
$749$		−	16.9453i		−	0.619167i
$750$	−10.3734	−	4.17052i	−0.378782	−	0.152286i
$751$	12.9134	+	39.7435i	0.471218	+	1.45026i	0.850991	+	0.525180i	$0.176002\pi$
$751$	12.9134	+	39.7435i	0.471218	+	1.45026i	−0.379773	+	0.925080i	$0.623998\pi$
$752$	−6.15843	+	3.13788i	−0.224575	+	0.114427i
$753$	6.56522	+	12.8850i	0.239250	+	0.469554i
$754$	0.894780	−	1.23156i	0.0325860	−	0.0448507i
$755$	2.48753	+	13.1658i	0.0905306	+	0.479153i
$756$	−1.13255	+	1.55882i	−0.0411904	+	0.0566937i
$757$	3.01195	−	19.0167i	0.109471	−	0.691174i	−0.870520	−	0.492133i	$-0.836217\pi$
$757$	3.01195	−	19.0167i	0.109471	−	0.691174i	0.979991	−	0.199041i	$-0.0637827\pi$
$758$	14.8566	+	29.1577i	0.539615	+	1.05905i
$759$	19.3446	−	14.0547i	0.702164	−	0.510152i
$760$	−3.02350	+	10.3391i	−0.109674	+	0.375038i
$761$	−26.0282	−	8.45708i	−0.943522	−	0.306569i	−0.203441	−	0.979087i	$-0.565213\pi$
$761$	−26.0282	−	8.45708i	−0.943522	−	0.306569i	−0.740080	+	0.672518i	$0.765213\pi$
$762$	14.3822	+	2.27792i	0.521013	+	0.0825204i
$763$	−4.22666	+	0.669437i	−0.153015	+	0.0242352i
$764$	−9.25193	+	3.00614i	−0.334723	+	0.108758i
$765$	−7.46737	+	0.221532i	−0.269983	+	0.00800950i
$766$	18.2681	+	5.93565i	0.660052	+	0.214464i
$767$	−28.6550	−	56.2386i	−1.03467	−	2.03066i
$768$	−0.453990	+	0.891007i	−0.0163820	+	0.0321514i
$769$			20.2305i			0.729530i	0.931100	+	0.364765i	$0.118851\pi$
$769$			20.2305i			0.729530i	−0.931100	+	0.364765i	$0.881149\pi$
$770$	2.65643	−	20.7346i	0.0957312	−	0.747224i
$771$	−20.6415	+	6.70682i	−0.743385	+	0.241540i
$772$	−11.1015	−	1.75830i	−0.399551	−	0.0632827i
$773$	−3.31096	−	20.9046i	−0.119087	−	0.751885i	−0.972887	−	0.231283i	$-0.925708\pi$
$773$	−3.31096	−	20.9046i	−0.119087	−	0.751885i	0.853800	−	0.520602i	$-0.174292\pi$
$774$	−10.2273			−0.367614
$775$	19.7775	+	19.5921i	0.710427	+	0.703771i
$776$	3.23925			0.116282
$777$	0.0582373	+	0.367696i	0.00208925	+	0.0131910i
$778$	−11.5293	−	1.82607i	−0.413347	−	0.0654677i
$779$	30.6677	−	9.96455i	1.09879	−	0.357017i
$780$	−1.84171	+	14.3753i	−0.0659437	+	0.514719i
$781$			33.8771i			1.21222i
$782$	7.47505	−	14.6706i	0.267307	−	0.524620i
$783$	0.106629	+	0.209272i	0.00381062	+	0.00747876i
$784$	3.12651	+	1.01587i	0.111661	+	0.0362809i
$785$	24.1490	−	0.716420i	0.861915	−	0.0255701i
$786$	−14.8197	+	4.81521i	−0.528601	+	0.171753i
$787$	−14.7224	+	2.33179i	−0.524796	+	0.0831195i	−0.413211	−	0.910635i	$-0.635593\pi$
$787$	−14.7224	+	2.33179i	−0.524796	+	0.0831195i	−0.111585	+	0.993755i	$0.535593\pi$
$788$	−18.0522	−	2.85919i	−0.643084	−	0.101854i
$789$	−24.0110	−	7.80163i	−0.854813	−	0.277746i
$790$	−5.82479	+	19.9183i	−0.207237	+	0.708661i
$791$	−0.899351	+	0.653417i	−0.0319773	+	0.0232328i
$792$	−2.20270	−	4.32304i	−0.0782694	−	0.153612i
$793$	−4.80769	+	30.3546i	−0.170726	+	1.07792i
$794$	14.7188	−	20.2587i	0.522352	−	0.718955i
$795$	−2.23056	−	11.8057i	−0.0791098	−	0.418706i
$796$	−3.56219	+	4.90293i	−0.126258	+	0.173780i
$797$	−0.567280	−	1.11335i	−0.0200941	−	0.0394369i	0.880741	−	0.473598i	$-0.157045\pi$
$797$	−0.567280	−	1.11335i	−0.0200941	−	0.0394369i	−0.900835	+	0.434161i	$0.857045\pi$
$798$	−8.27056	+	4.21406i	−0.292774	+	0.149176i
$799$	−7.13584	−	21.9619i	−0.252448	−	0.776955i
$800$	−2.53006	−	4.31263i	−0.0894511	−	0.152475i
$801$			3.61454i			0.127713i
$802$	2.84347	+	1.44882i	0.100406	+	0.0511596i
$803$	7.47439	−	47.1914i	0.263765	−	1.66535i
$804$	11.7696	+	8.55108i	0.415080	+	0.301573i
$805$	21.0611	+	2.69827i	0.742308	+	0.0951014i
$806$	18.1137	−	31.2115i	0.638026	−	1.09938i
$807$	14.1305	+	14.1305i	0.497419	+	0.497419i
$808$	3.65294	−	0.578569i	0.128510	−	0.0203540i
$809$	41.1531	−	29.8995i	1.44687	−	1.05121i	0.460315	−	0.887756i	$-0.347737\pi$
$809$	41.1531	−	29.8995i	1.44687	−	1.05121i	0.986551	−	0.163454i	$-0.0522634\pi$
$810$	−1.84720	−	1.26011i	−0.0649039	−	0.0442756i
$811$	1.03073			0.0361940			0.0180970	−	0.999836i	$-0.494239\pi$
$811$	1.03073			0.0361940			0.0180970	+	0.999836i	$0.494239\pi$
$812$	−0.320002	+	0.320002i	−0.0112299	+	0.0112299i
$813$	−7.16438	−	3.65043i	−0.251266	−	0.128026i
$814$	−0.891547	−	0.289681i	−0.0312487	−	0.0101533i
$815$	12.4075	−	4.44234i	0.434614	−	0.155608i
$816$	−2.70291	−	1.96378i	−0.0946207	−	0.0687460i
$817$	−43.8995	−	22.3679i	−1.53585	−	0.782554i
$818$	−3.48509	−	22.0040i	−0.121853	−	0.769351i
$819$	−10.1033	+	7.34049i	−0.353038	+	0.256497i
$820$	−6.39659	+	13.5316i	−0.223379	+	0.472546i
$821$	−2.88879	−	3.97608i	−0.100819	−	0.138766i	0.755627	−	0.655003i	$-0.227332\pi$
$821$	−2.88879	−	3.97608i	−0.100819	−	0.138766i	−0.856446	+	0.516237i	$0.827332\pi$
$822$	1.96497	+	0.311221i	0.0685363	+	0.0108551i
$823$	−2.13690	+	1.08881i	−0.0744878	+	0.0379534i	−0.490838	−	0.871251i	$-0.663309\pi$
$823$	−2.13690	+	1.08881i	−0.0744878	+	0.0379534i	0.416350	+	0.909204i	$0.363309\pi$
$824$	−3.75141	−	5.16337i	−0.130686	−	0.179875i
$825$	24.1434	+	2.36790i	0.840567	+	0.0824397i
$826$	5.79837	+	17.8456i	0.201751	+	0.620926i
$827$	−20.0189	+	3.17069i	−0.696127	+	0.110256i	−0.494463	−	0.869199i	$-0.664635\pi$
$827$	−20.0189	+	3.17069i	−0.696127	+	0.110256i	−0.201665	+	0.979455i	$0.564635\pi$
$828$	4.39111	−	2.23738i	0.152602	−	0.0777545i
$829$	1.26593	−	3.89614i	0.0439677	−	0.135319i	−0.926663	−	0.375893i	$-0.877336\pi$
$829$	1.26593	−	3.89614i	0.0439677	−	0.135319i	0.970631	+	0.240575i	$0.0773359\pi$
$830$	1.49881	+	7.93276i	0.0520243	+	0.275350i
$831$	−24.4209			−0.847151
$832$	−4.58303	+	4.58303i	−0.158888	+	0.158888i
$833$	−4.98625	+	9.78608i	−0.172763	+	0.339067i
$834$	−4.12230	−	5.67386i	−0.142744	−	0.196470i
$835$	−0.745305	−	25.1226i	−0.0257924	−	0.869405i
$836$		−	23.3735i		−	0.808389i
$837$	3.02191	+	4.67633i	0.104453	+	0.161638i
$838$	12.0720	−	12.0720i	0.417021	−	0.417021i
$839$	18.1527	−	24.9850i	0.626699	−	0.862578i	−0.371120	−	0.928585i	$-0.621026\pi$
$839$	18.1527	−	24.9850i	0.626699	−	0.862578i	0.997819	+	0.0660074i	$0.0210261\pi$
$840$	1.20930	−	4.13528i	0.0417247	−	0.142681i
$841$	−8.94445	−	27.5282i	−0.308429	−	0.949247i
$842$	19.2294	+	19.2294i	0.662687	+	0.662687i
$843$	1.48996	+	1.48996i	0.0513168	+	0.0513168i
$844$	20.3620	−	6.61600i	0.700887	−	0.227732i
$845$	−27.7212	+	58.6427i	−0.953637	+	2.01737i
$846$	2.13585	−	6.57348i	0.0734321	−	0.226001i
$847$	3.77995	+	23.8657i	0.129881	+	0.820034i
$848$	2.43933	−	4.78745i	0.0837669	−	0.164402i
$849$	−21.9782	−	15.9681i	−0.754288	−	0.548022i
$850$	15.5533	−	6.09483i	0.533475	−	0.209051i
$851$	0.294243	−	0.905587i	0.0100865	−	0.0310431i
$852$	−1.09227	+	6.89634i	−0.0374207	+	0.236265i
$853$	4.57670	−	28.8962i	0.156703	−	0.989386i	−0.776521	−	0.630092i	$-0.783017\pi$
$853$	4.57670	−	28.8962i	0.156703	−	0.989386i	0.933224	−	0.359295i	$-0.116983\pi$
$854$	2.82330	−	8.68922i	0.0966113	−	0.297339i
$855$	−5.17290	−	9.44877i	−0.176909	−	0.323141i
$856$	7.11489	+	5.16927i	0.243182	+	0.176682i
$857$	4.27951	−	8.39901i	0.146185	−	0.286905i	−0.806290	−	0.591520i	$-0.798528\pi$
$857$	4.27951	−	8.39901i	0.146185	−	0.286905i	0.952475	+	0.304616i	$0.0985280\pi$
$858$	−4.91936	−	31.0596i	−0.167944	−	1.06036i
$859$	−8.71437	+	26.8201i	−0.297330	+	0.915089i	0.685098	+	0.728451i	$0.259759\pi$
$859$	−8.71437	+	26.8201i	−0.297330	+	0.915089i	−0.982429	+	0.186638i	$0.940241\pi$
$860$	21.5306	−	7.70877i	0.734188	−	0.262867i
$861$	−12.2661	+	3.98548i	−0.418026	+	0.135825i
$862$	18.1940	+	18.1940i	0.619691	+	0.619691i
$863$	−1.06315	−	1.06315i	−0.0361900	−	0.0361900i	0.688780	−	0.724970i	$-0.258147\pi$
$863$	−1.06315	−	1.06315i	−0.0361900	−	0.0361900i	−0.724970	+	0.688780i	$0.758147\pi$
$864$	−0.309017	−	0.951057i	−0.0105130	−	0.0323556i
$865$	−50.6111	−	14.8004i	−1.72083	−	0.503229i
$866$	4.72887	−	6.50873i	0.160694	−	0.221176i
$867$	−4.12799	+	4.12799i	−0.140194	+	0.140194i
$868$	−6.77009	+	8.32203i	−0.229792	+	0.282468i
$869$		−	45.0291i		−	1.52751i
$870$	−0.382213	−	0.360188i	−0.0129582	−	0.0122115i
$871$	55.4229	+	76.2830i	1.87793	+	2.58475i
$872$	1.00829	−	1.97888i	0.0341450	−	0.0670134i
$873$	−2.29050	+	2.29050i	−0.0775216	+	0.0775216i
$874$	23.7416			0.803070
$875$	14.1608	+	16.2341i	0.478723	+	0.548812i
$876$	3.04311	−	9.36573i	0.102817	−	0.316439i
$877$	18.8176	−	9.58805i	0.635426	−	0.323765i	−0.106435	−	0.994320i	$-0.533944\pi$
$877$	18.8176	−	9.58805i	0.635426	−	0.323765i	0.741861	+	0.670554i	$0.233944\pi$
$878$	−19.1746	+	3.03695i	−0.647110	+	0.102492i
$879$	−3.07101	−	9.45160i	−0.103583	−	0.318795i
$880$	7.89557	+	7.44060i	0.266160	+	0.250823i
$881$	28.7053	+	39.5094i	0.967105	+	1.33111i	0.943496	+	0.331385i	$0.107516\pi$
$881$	28.7053	+	39.5094i	0.967105	+	1.33111i	0.0236098	+	0.999721i	$0.492484\pi$
$882$	−2.92910	+	1.49245i	−0.0986281	+	0.0502535i
$883$	−26.4812	−	4.19422i	−0.891165	−	0.141147i	−0.305972	−	0.952041i	$-0.598981\pi$
$883$	−26.4812	−	4.19422i	−0.891165	−	0.141147i	−0.585193	+	0.810894i	$0.698981\pi$
$884$	−12.7280	−	17.5186i	−0.428089	−	0.589214i
$885$	−20.5012	+	7.34020i	−0.689140	+	0.246738i
$886$	5.02894	−	3.65374i	0.168951	−	0.122750i
$887$	−5.82741	−	36.7928i	−0.195665	−	1.23538i	−0.868537	−	0.495624i	$-0.834939\pi$
$887$	−5.82741	−	36.7928i	−0.195665	−	1.23538i	0.672872	−	0.739759i	$-0.265061\pi$
$888$	−0.172152	−	0.0877156i	−0.00577703	−	0.00294354i
$889$	−22.6988	−	16.4916i	−0.761293	−	0.553112i
$890$	−2.72443	−	7.60934i	−0.0913230	−	0.255066i
$891$	4.61439	+	1.49931i	0.154588	+	0.0502286i
$892$	−5.22597	−	2.66276i	−0.174978	−	0.0891559i
$893$	23.5445	−	23.5445i	0.787887	−	0.787887i
$894$	5.30967			0.177582
$895$	52.1760	−	9.85807i	1.74405	−	0.329519i
$896$	1.55882	−	1.13255i	0.0520765	−	0.0378358i
$897$	31.5487	−	4.99683i	1.05338	−	0.166839i
$898$	−12.6607	−	12.6607i	−0.422492	−	0.422492i
$899$	0.529204	+	1.19584i	0.0176499	+	0.0398836i
$900$	4.83851	+	1.26047i	0.161284	+	0.0420156i
$901$	14.5230	+	10.5515i	0.483830	+	0.351523i
$902$	5.08043	−	32.0766i	0.169160	−	1.06803i
$903$	17.5583	+	8.94640i	0.584303	+	0.297717i
$904$		−	0.576944i		−	0.0191889i
$905$	−3.37299	−	0.432134i	−0.112122	−	0.0143646i
$906$	−1.85166	−	5.69883i	−0.0615173	−	0.189331i
$907$	41.5421	−	21.1667i	1.37938	−	0.702830i	0.402263	−	0.915524i	$-0.368224\pi$
$907$	41.5421	−	21.1667i	1.37938	−	0.702830i	0.977119	+	0.212694i	$0.0682237\pi$
$908$	−0.379024	−	0.743876i	−0.0125783	−	0.0246864i
$909$	−2.17391	+	2.99213i	−0.0721041	+	0.0992427i
$910$	15.7367	−	23.0685i	0.521666	−	0.764713i
$911$	−9.96124	+	13.7105i	−0.330030	+	0.454248i	−0.941497	−	0.337023i	$-0.890580\pi$
$911$	−9.96124	+	13.7105i	−0.330030	+	0.454248i	0.611466	+	0.791271i	$0.290580\pi$
$912$	0.753612	−	4.75812i	0.0249546	−	0.157557i
$913$	−7.95263	−	15.6079i	−0.263193	−	0.516546i
$914$	−31.9871	+	23.2400i	−1.05804	+	0.768710i
$915$	10.1766	+	2.97598i	0.336428	+	0.0983830i
$916$	−18.7854	−	6.10375i	−0.620687	−	0.201673i
$917$	29.6546	+	4.69682i	0.979280	+	0.155103i
$918$	3.29985	−	0.522644i	0.108911	−	0.0172498i
$919$	33.3376	−	10.8320i	1.09971	−	0.357316i	0.297716	−	0.954654i	$-0.403775\pi$
$919$	33.3376	−	10.8320i	1.09971	−	0.357316i	0.801989	+	0.597338i	$0.203775\pi$
$920$	−7.55777	+	8.01991i	−0.249172	+	0.264409i
$921$	25.8147	+	8.38769i	0.850622	+	0.276384i
$922$	6.42337	+	12.6066i	0.211542	+	0.415175i
$923$	−20.5453	+	40.3225i	−0.676258	+	1.32723i
$924$			9.34860i			0.307546i
$925$	0.833245	−	0.488833i	0.0273969	−	0.0160727i
$926$	34.2383	−	11.1247i	1.12514	−	0.365580i
$927$	6.30370	+	0.998408i	0.207041	+	0.0327920i
$928$	−0.0367419	−	0.231979i	−0.00120611	−	0.00761510i
$929$	34.6507			1.13685			0.568426	−	0.822735i	$-0.307553\pi$
$929$	34.6507			1.13685			0.568426	+	0.822735i	$0.307553\pi$
$930$	−9.88648	−	7.56687i	−0.324190	−	0.248128i
$931$	−15.8369			−0.519033
$932$	2.61217	+	16.4926i	0.0855646	+	0.540234i
$933$	−9.86394	−	1.56229i	−0.322931	−	0.0511472i
$934$	23.2045	−	7.53960i	0.759275	−	0.246703i
$935$	−28.6794	+	22.1654i	−0.937917	+	0.724885i
$936$		−	6.48139i		−	0.211851i
$937$	10.2065	−	20.0313i	0.333430	−	0.654394i	−0.662040	−	0.749469i	$-0.730309\pi$
$937$	10.2065	−	20.0313i	0.333430	−	0.654394i	0.995470	+	0.0950750i	$0.0303091\pi$
$938$	−12.7259	−	24.9759i	−0.415515	−	0.815493i
$939$	−30.9622	−	10.0602i	−1.01041	−	0.328304i
$940$	0.458302	+	15.4484i	0.0149482	+	0.503871i
$941$	15.1038	−	4.90751i	0.492368	−	0.159980i	−0.0523004	−	0.998631i	$-0.516655\pi$
$941$	15.1038	−	4.90751i	0.492368	−	0.159980i	0.544669	+	0.838651i	$0.316655\pi$
$942$	−10.6715	+	1.69020i	−0.347696	+	0.0550696i
$943$	32.5817	+	5.16044i	1.06101	+	0.168047i
$944$	−9.26172	−	3.00932i	−0.301443	−	0.0979449i
$945$	2.06898	+	3.77919i	0.0673040	+	0.122937i
$946$	−40.1447	+	29.1669i	−1.30522	+	0.948296i
$947$	14.6356	+	28.7239i	0.475592	+	0.933402i	0.996797	+	0.0799703i	$0.0254825\pi$
$947$	14.6356	+	28.7239i	0.475592	+	0.933402i	−0.521205	+	0.853431i	$0.674517\pi$
$948$	1.45184	−	9.16653i	0.0471535	−	0.297715i
$949$	37.5165	−	51.6370i	1.21784	−	1.67621i
$950$	18.0119	+	15.9925i	0.584384	+	0.518867i
$951$	−1.01012	+	1.39031i	−0.0327554	+	0.0450839i
$952$	2.92253	+	5.73579i	0.0947197	+	0.185898i
$953$	9.73837	−	4.96195i	0.315457	−	0.160733i	−0.289092	−	0.957301i	$-0.593353\pi$
$953$	9.73837	−	4.96195i	0.315457	−	0.160733i	0.604549	+	0.796568i	$0.293353\pi$
$954$	1.66037	+	5.11011i	0.0537566	+	0.165446i
$955$	−2.76426	+	21.5762i	−0.0894493	+	0.698191i
$956$		−	19.0000i		−	0.614503i
$957$	1.01536	+	0.517350i	0.0328218	+	0.0167235i
$958$	−5.86271	+	37.0157i	−0.189415	+	1.19592i
$959$	−3.10122	−	2.25317i	−0.100144	−	0.0727587i
$960$	1.36739	+	1.76925i	0.0441324	+	0.0571022i
$961$	15.3791	+	26.9162i	0.496100	+	0.868266i
$962$	−0.885489	−	0.885489i	−0.0285493	−	0.0285493i
$963$	−8.68621	+	1.37576i	−0.279909	+	0.0443333i
$964$	14.9718	−	10.8777i	0.482210	−	0.350346i
$965$	−14.1634	+	20.7622i	−0.455937	+	0.668360i
$966$	−9.49582			−0.305523
$967$	10.2433	−	10.2433i	0.329402	−	0.329402i	−0.522957	−	0.852359i	$-0.675171\pi$
$967$	10.2433	−	10.2433i	0.329402	−	0.329402i	0.852359	+	0.522957i	$0.175171\pi$
$968$	−11.1737	−	5.69327i	−0.359136	−	0.182989i
$969$	15.3072	+	4.97361i	0.491738	+	0.159775i
$970$	3.09551	−	6.54840i	0.0993910	−	0.210256i
$971$	9.15522	+	6.65166i	0.293805	+	0.213462i	0.724916	−	0.688837i	$-0.241878\pi$
$971$	9.15522	+	6.65166i	0.293805	+	0.213462i	−0.431111	+	0.902299i	$0.641878\pi$
$972$	0.891007	+	0.453990i	0.0285790	+	0.0145618i
$973$	2.11394	+	13.3469i	0.0677697	+	0.427881i
$974$	1.84606	−	1.34124i	0.0591517	−	0.0429762i
$975$	27.3009	+	17.4606i	0.874327	+	0.559187i
$976$	2.78711	+	3.83613i	0.0892133	+	0.122792i
$977$	−13.8877	−	2.19960i	−0.444307	−	0.0703713i	−0.0697275	−	0.997566i	$-0.522213\pi$
$977$	−13.8877	−	2.19960i	−0.444307	−	0.0703713i	−0.374580	+	0.927195i	$0.622213\pi$
$978$	−5.25134	+	2.67569i	−0.167919	+	0.0855592i
$979$	10.3081	+	14.1879i	0.329449	+	0.453448i
$980$	5.04143	−	5.34970i	0.161043	−	0.170890i
$981$	0.686311	+	2.11225i	0.0219122	+	0.0674389i
$982$	13.5992	−	2.15391i	0.433969	−	0.0687340i
$983$	−45.4024	+	23.1337i	−1.44811	+	0.737850i	−0.988634	−	0.150340i	$-0.951963\pi$
$983$	−45.4024	+	23.1337i	−1.44811	+	0.737850i	−0.459477	+	0.888190i	$0.651963\pi$
$984$	2.06844	−	6.36600i	0.0659394	−	0.202941i
$985$	−23.0313	+	33.7617i	−0.733837	+	1.07574i
$986$	0.784699			0.0249899
$987$	−9.41700	+	9.41700i	−0.299746	+	0.299746i
$988$	14.1752	−	27.8204i	0.450974	−	0.885086i
$989$	−29.6262	−	40.7769i	−0.942057	−	1.29663i
$990$	−10.8443	+	0.321715i	−0.344655	+	0.0102248i
$991$		−	26.0319i		−	0.826932i	−0.910520	−	0.413466i	$-0.864318\pi$
$991$		−	26.0319i		−	0.826932i	0.910520	−	0.413466i	$-0.135682\pi$
$992$	−1.42894	−	5.38127i	−0.0453690	−	0.170856i
$993$	−18.6131	+	18.6131i	−0.590667	+	0.590667i
$994$	7.90780	−	10.8842i	0.250820	−	0.345225i
$995$	6.50754	+	11.8866i	0.206303	+	0.376831i
$996$	−1.11568	−	3.43370i	−0.0353516	−	0.108801i
$997$	−42.3467	−	42.3467i	−1.34113	−	1.34113i	−0.894932	−	0.446203i	$-0.852776\pi$
$997$	−42.3467	−	42.3467i	−1.34113	−	1.34113i	−0.446203	−	0.894932i	$-0.647224\pi$
$998$	23.2810	+	23.2810i	0.736949	+	0.736949i
$999$	0.183754	−	0.0597052i	0.00581371	−	0.00188899i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	930.2.bj.a.277.13	✓	128
5.3	odd	4		930.2.bj.b.463.13	yes	128
31.15	odd	10		930.2.bj.b.697.13	yes	128
155.108	even	20	inner	930.2.bj.a.883.13	yes	128

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
930.2.bj.a.277.13	✓	128	1.1	even	1	trivial
930.2.bj.a.883.13	yes	128	155.108	even	20	inner
930.2.bj.b.463.13	yes	128	5.3	odd	4
930.2.bj.b.697.13	yes	128	31.15	odd	10

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)

\(f(q)\)	\(=\)	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.284153 + 2.21794i) q^{5} -1.00000i q^{6} +(-0.874752 + 1.71680i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +O(q^{10})\)	\(q+(0.156434 + 0.987688i) q^{2} +(-0.987688 - 0.156434i) q^{3} +(-0.951057 + 0.309017i) q^{4} +(-0.284153 + 2.21794i) q^{5} -1.00000i q^{6} +(-0.874752 + 1.71680i) q^{7} +(-0.453990 - 0.891007i) q^{8} +(0.951057 + 0.309017i) q^{9} +(-2.23508 + 0.0663075i) q^{10} +(4.61439 - 1.49931i) q^{11} +(0.987688 - 0.156434i) q^{12} +(6.40159 + 1.01391i) q^{13} +(-1.83250 - 0.595416i) q^{14} +(0.627617 - 2.14618i) q^{15} +(0.809017 - 0.587785i) q^{16} +(1.51677 + 2.97683i) q^{17} +(-0.156434 + 0.987688i) q^{18} +(-2.83161 + 3.89738i) q^{19} +(-0.415135 - 2.19719i) q^{20} +(1.13255 - 1.55882i) q^{21} +(2.20270 + 4.32304i) q^{22} +(-4.39111 + 2.23738i) q^{23} +(0.309017 + 0.951057i) q^{24} +(-4.83851 - 1.26047i) q^{25} +6.48139i q^{26} +(-0.891007 - 0.453990i) q^{27} +(0.301419 - 1.90309i) q^{28} +(-0.190015 - 0.138054i) q^{29} +(2.21794 + 0.284153i) q^{30} +(-4.81555 - 2.79472i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-4.79212 + 0.758998i) q^{33} +(-2.70291 + 1.96378i) q^{34} +(-3.55919 - 2.42798i) q^{35} -1.00000 q^{36} +(-0.136620 + 0.136620i) q^{37} +(-4.29236 - 2.18707i) q^{38} +(-6.16416 - 2.00286i) q^{39} +(2.10520 - 0.753741i) q^{40} +(-5.41524 - 3.93440i) q^{41} +(1.71680 + 0.874752i) q^{42} +(1.59991 + 10.1014i) q^{43} +(-3.92523 + 2.85185i) q^{44} +(-0.955627 + 2.02158i) q^{45} +(-2.89676 - 3.98705i) q^{46} +(-6.82667 - 1.08124i) q^{47} +(-0.891007 + 0.453990i) q^{48} +(1.93229 + 2.65957i) q^{49} +(0.488040 - 4.97612i) q^{50} +(-1.03242 - 3.17746i) q^{51} +(-6.40159 + 1.01391i) q^{52} +(4.78745 - 2.43933i) q^{53} +(0.309017 - 0.951057i) q^{54} +(2.01418 + 10.6605i) q^{55} +1.92681 q^{56} +(3.40644 - 3.40644i) q^{57} +(0.106629 - 0.209272i) q^{58} +(-5.72406 - 7.87849i) q^{59} +(0.0663075 + 2.23508i) q^{60} +4.74172i q^{61} +(2.00699 - 5.19346i) q^{62} +(-1.36246 + 1.36246i) q^{63} +(-0.587785 + 0.809017i) q^{64} +(-4.06783 + 13.9102i) q^{65} +(-1.49931 - 4.61439i) q^{66} +(10.2870 + 10.2870i) q^{67} +(-2.36243 - 2.36243i) q^{68} +(4.68706 - 1.52292i) q^{69} +(1.84131 - 3.89519i) q^{70} +(-2.15765 + 6.64057i) q^{71} +(-0.156434 - 0.987688i) q^{72} +(4.47077 - 8.77437i) q^{73} +(-0.156310 - 0.113566i) q^{74} +(4.58176 + 2.00186i) q^{75} +(1.48867 - 4.58165i) q^{76} +(-1.46244 + 9.23350i) q^{77} +(1.01391 - 6.40159i) q^{78} +(2.86792 - 8.82656i) q^{79} +(1.07379 + 1.96137i) q^{80} +(0.809017 + 0.587785i) q^{81} +(3.03883 - 5.96405i) q^{82} +(-0.564792 - 3.56595i) q^{83} +(-0.595416 + 1.83250i) q^{84} +(-7.03343 + 2.51823i) q^{85} +(-9.72678 + 3.16042i) q^{86} +(0.166079 + 0.166079i) q^{87} +(-3.43078 - 3.43078i) q^{88} +(1.11695 + 3.43763i) q^{89} +(-2.14618 - 0.627617i) q^{90} +(-7.34049 + 10.1033i) q^{91} +(3.48481 - 3.48481i) q^{92} +(4.31907 + 3.51363i) q^{93} -6.91177i q^{94} +(-7.83955 - 7.38780i) q^{95} +(-0.587785 - 0.809017i) q^{96} +(-1.47059 + 2.88619i) q^{97} +(-2.32455 + 2.32455i) q^{98} +4.85186 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 128 q - 16 q^{7}+O(q^{10}) \) 128 * q - 16 * q^7	\( 128 q - 16 q^{7} - 4 q^{10} + 4 q^{15} + 32 q^{16} - 12 q^{17} - 40 q^{19} + 40 q^{21} + 16 q^{22} - 32 q^{24} - 8 q^{25} - 4 q^{28} + 8 q^{29} + 20 q^{31} + 4 q^{33} + 24 q^{35} - 128 q^{36} + 64 q^{37} - 16 q^{38} - 24 q^{41} + 4 q^{42} + 24 q^{43} - 8 q^{44} + 20 q^{46} + 108 q^{47} - 100 q^{49} - 24 q^{50} + 16 q^{53} - 32 q^{54} + 12 q^{55} + 16 q^{57} - 40 q^{58} - 16 q^{62} - 4 q^{63} + 36 q^{65} - 12 q^{66} - 32 q^{67} + 8 q^{68} - 32 q^{70} + 24 q^{71} + 60 q^{73} - 16 q^{74} + 24 q^{75} - 24 q^{76} - 20 q^{77} - 56 q^{79} + 32 q^{81} - 16 q^{82} - 8 q^{83} - 132 q^{85} - 20 q^{87} - 4 q^{88} + 136 q^{89} - 40 q^{91} - 64 q^{93} + 108 q^{95} + 64 q^{97} - 16 q^{98} - 8 q^{99}+O(q^{100}) \) 128 * q - 16 * q^7 - 4 * q^10 + 4 * q^15 + 32 * q^16 - 12 * q^17 - 40 * q^19 + 40 * q^21 + 16 * 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 + 4 * q^42 + 24 * q^43 - 8 * q^44 + 20 * q^46 + 108 * q^47 - 100 * q^49 - 24 * q^50 + 16 * q^53 - 32 * q^54 + 12 * q^55 + 16 * q^57 - 40 * q^58 - 16 * q^62 - 4 * q^63 + 36 * q^65 - 12 * q^66 - 32 * q^67 + 8 * q^68 - 32 * q^70 + 24 * q^71 + 60 * q^73 - 16 * q^74 + 24 * q^75 - 24 * q^76 - 20 * q^77 - 56 * q^79 + 32 * q^81 - 16 * q^82 - 8 * q^83 - 132 * q^85 - 20 * q^87 - 4 * q^88 + 136 * q^89 - 40 * q^91 - 64 * q^93 + 108 * q^95 + 64 * q^97 - 16 * q^98 - 8 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

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Database

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