LMFDB - Embedded newform 950.2.n.b.39.12

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(39,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([3, 0]))

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

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

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.n (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			39.12
Character	$\chi$	$=$	950.39
Dual form			950.2.n.b.609.12

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 - 0.809017i) q^{2} +(2.95991 + 0.961734i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-2.05251 - 0.887239i) q^{5} +(-0.961734 - 2.95991i) q^{6} +0.626185i q^{7} +(0.951057 - 0.309017i) q^{8} +(5.40910 + 3.92994i) q^{9} +O(q^{10})$	\(q+(-0.587785 - 0.809017i) q^{2} +(2.95991 + 0.961734i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-2.05251 - 0.887239i) q^{5} +(-0.961734 - 2.95991i) q^{6} +0.626185i q^{7} +(0.951057 - 0.309017i) q^{8} +(5.40910 + 3.92994i) q^{9} +(0.488645 + 2.18202i) q^{10} +(2.78653 - 2.02453i) q^{11} +(-1.82933 + 2.51785i) q^{12} +(2.81788 - 3.87848i) q^{13} +(0.506594 - 0.368062i) q^{14} +(-5.22197 - 4.60012i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.588527 + 0.191224i) q^{17} -6.68601i q^{18} +(-0.309017 - 0.951057i) q^{19} +(1.47808 - 1.67788i) q^{20} +(-0.602223 + 1.85345i) q^{21} +(-3.27576 - 1.06436i) q^{22} +(2.83341 + 3.89985i) q^{23} +3.11224 q^{24} +(3.42561 + 3.64214i) q^{25} -4.79407 q^{26} +(6.74292 + 9.28083i) q^{27} +(-0.595537 - 0.193502i) q^{28} +(-2.28201 + 7.02332i) q^{29} +(-0.652179 + 6.92854i) q^{30} +(-1.48449 - 4.56879i) q^{31} +1.00000i q^{32} +(10.1949 - 3.31254i) q^{33} +(0.500631 + 0.363730i) q^{34} +(0.555576 - 1.28525i) q^{35} +(-5.40910 + 3.92994i) q^{36} +(1.99104 - 2.74043i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(12.0707 - 8.76991i) q^{39} +(-2.22623 - 0.209553i) q^{40} +(2.92951 + 2.12842i) q^{41} +(1.85345 - 0.602223i) q^{42} -2.96543i q^{43} +(1.06436 + 3.27576i) q^{44} +(-7.61544 - 12.8654i) q^{45} +(1.48961 - 4.58455i) q^{46} +(6.80282 + 2.21037i) q^{47} +(-1.82933 - 2.51785i) q^{48} +6.60789 q^{49} +(0.933026 - 4.91217i) q^{50} -1.92589 q^{51} +(2.81788 + 3.87848i) q^{52} +(-11.1040 - 3.60791i) q^{53} +(3.54496 - 10.9103i) q^{54} +(-7.51563 + 1.68306i) q^{55} +(0.193502 + 0.595537i) q^{56} -3.11224i q^{57} +(7.02332 - 2.28201i) q^{58} +(-0.989217 - 0.718708i) q^{59} +(5.98865 - 3.54487i) q^{60} +(10.8248 - 7.86464i) q^{61} +(-2.82367 + 3.88644i) q^{62} +(-2.46087 + 3.38710i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-9.22488 + 5.46050i) q^{65} +(-8.67234 - 6.30082i) q^{66} +(3.25118 - 1.05637i) q^{67} -0.618814i q^{68} +(4.63602 + 14.2682i) q^{69} +(-1.36635 + 0.305982i) q^{70} +(-0.683587 + 2.10387i) q^{71} +(6.35877 + 2.06609i) q^{72} +(4.08308 + 5.61988i) q^{73} -3.38736 q^{74} +(6.63675 + 14.0749i) q^{75} +1.00000 q^{76} +(1.26773 + 1.74488i) q^{77} +(-14.1900 - 4.61061i) q^{78} +(-2.25527 + 6.94102i) q^{79} +(1.13901 + 1.92423i) q^{80} +(4.83448 + 14.8790i) q^{81} -3.62108i q^{82} +(-13.5267 + 4.39510i) q^{83} +(-1.57664 - 1.14550i) q^{84} +(1.37762 + 0.129674i) q^{85} +(-2.39909 + 1.74304i) q^{86} +(-13.5091 + 18.5937i) q^{87} +(2.02453 - 2.78653i) q^{88} +(0.192359 - 0.139757i) q^{89} +(-5.93209 + 13.7231i) q^{90} +(2.42865 + 1.76452i) q^{91} +(-4.58455 + 1.48961i) q^{92} -14.9509i q^{93} +(-2.21037 - 6.80282i) q^{94} +(-0.209553 + 2.22623i) q^{95} +(-0.961734 + 2.95991i) q^{96} +(-1.32008 - 0.428919i) q^{97} +(-3.88402 - 5.34590i) q^{98} +23.0289 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$1$

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 $

$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$3$	2.95991	+	0.961734i	1.70891	+	0.555257i	0.990151	−	0.140006i	$-0.0447121\pi$
$3$	2.95991	+	0.961734i	1.70891	+	0.555257i	0.718755	+	0.695263i	$0.244712\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	−2.05251	−	0.887239i	−0.917911	−	0.396785i
$5$	−2.05251	−	0.887239i	−0.917911	−	0.396785i
$6$	−0.961734	−	2.95991i	−0.392626	−	1.20838i
$7$			0.626185i			0.236676i	0.992973	+	0.118338i	$0.0377566\pi$
$7$			0.626185i			0.236676i	−0.992973	+	0.118338i	$0.962243\pi$
$8$	0.951057	−	0.309017i	0.336249	−	0.109254i
$9$	5.40910	+	3.92994i	1.80303	+	1.30998i
$10$	0.488645	+	2.18202i	0.154523	+	0.690016i
$11$	2.78653	−	2.02453i	0.840170	−	0.610419i	−0.0822479	−	0.996612i	$-0.526210\pi$
$11$	2.78653	−	2.02453i	0.840170	−	0.610419i	0.922418	+	0.386192i	$0.126210\pi$
$12$	−1.82933	+	2.51785i	−0.528081	+	0.726841i
$13$	2.81788	−	3.87848i	0.781540	−	1.07570i	−0.213571	−	0.976928i	$-0.568509\pi$
$13$	2.81788	−	3.87848i	0.781540	−	1.07570i	0.995110	−	0.0987694i	$-0.0314906\pi$
$14$	0.506594	−	0.368062i	0.135393	−	0.0983688i
$15$	−5.22197	−	4.60012i	−1.34831	−	1.18775i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	−0.588527	+	0.191224i	−0.142739	+	0.0463786i	−0.379515	−	0.925186i	$-0.623909\pi$
$17$	−0.588527	+	0.191224i	−0.142739	+	0.0463786i	0.236776	+	0.971564i	$0.423909\pi$
$18$		−	6.68601i		−	1.57591i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$20$	1.47808	−	1.67788i	0.330508	−	0.375186i
$21$	−0.602223	+	1.85345i	−0.131416	+	0.404457i
$22$	−3.27576	−	1.06436i	−0.698395	−	0.226922i
$23$	2.83341	+	3.89985i	0.590806	+	0.813175i	0.994828	−	0.101575i	$-0.0323881\pi$
$23$	2.83341	+	3.89985i	0.590806	+	0.813175i	−0.404022	+	0.914749i	$0.632388\pi$
$24$	3.11224			0.635282
$25$	3.42561	+	3.64214i	0.685123	+	0.728428i
$26$	−4.79407			−0.940194
$27$	6.74292	+	9.28083i	1.29767	+	1.78610i
$28$	−0.595537	−	0.193502i	−0.112546	−	0.0365684i
$29$	−2.28201	+	7.02332i	−0.423760	+	1.30420i	0.480418	+	0.877040i	$0.340485\pi$
$29$	−2.28201	+	7.02332i	−0.423760	+	1.30420i	−0.904177	+	0.427158i	$0.859515\pi$
$30$	−0.652179	+	6.92854i	−0.119071	+	1.26497i
$31$	−1.48449	−	4.56879i	−0.266622	−	0.820578i	−0.991315	−	0.131507i	$-0.958019\pi$
$31$	−1.48449	−	4.56879i	−0.266622	−	0.820578i	0.724693	−	0.689072i	$-0.241981\pi$
$32$			1.00000i			0.176777i
$33$	10.1949	−	3.31254i	1.77471	−	0.576639i
$34$	0.500631	+	0.363730i	0.0858575	+	0.0623791i
$35$	0.555576	−	1.28525i	0.0939094	−	0.217247i
$36$	−5.40910	+	3.92994i	−0.901516	+	0.654990i
$37$	1.99104	−	2.74043i	0.327325	−	0.450524i	−0.613361	−	0.789802i	$-0.710183\pi$
$37$	1.99104	−	2.74043i	0.327325	−	0.450524i	0.940686	+	0.339279i	$0.110183\pi$
$38$	−0.587785	+	0.809017i	−0.0953514	+	0.131240i
$39$	12.0707	−	8.76991i	1.93287	−	1.40431i
$40$	−2.22623	−	0.209553i	−0.351997	−	0.0331333i
$41$	2.92951	+	2.12842i	0.457513	+	0.332403i	0.792555	−	0.609800i	$-0.208750\pi$
$41$	2.92951	+	2.12842i	0.457513	+	0.332403i	−0.335042	+	0.942203i	$0.608750\pi$
$42$	1.85345	−	0.602223i	0.285994	−	0.0929251i
$43$		−	2.96543i		−	0.452224i	−0.974101	−	0.226112i	$-0.927398\pi$
$43$		−	2.96543i		−	0.452224i	0.974101	−	0.226112i	$-0.0726016\pi$
$44$	1.06436	+	3.27576i	0.160458	+	0.493840i
$45$	−7.61544	−	12.8654i	−1.13524	−	1.91786i
$46$	1.48961	−	4.58455i	0.219631	−	0.675954i
$47$	6.80282	+	2.21037i	0.992294	+	0.322416i	0.759782	−	0.650178i	$-0.225306\pi$
$47$	6.80282	+	2.21037i	0.992294	+	0.322416i	0.232512	+	0.972594i	$0.425306\pi$
$48$	−1.82933	−	2.51785i	−0.264040	−	0.363421i
$49$	6.60789			0.943985
$50$	0.933026	−	4.91217i	0.131950	−	0.694686i
$51$	−1.92589			−0.269679
$52$	2.81788	+	3.87848i	0.390770	+	0.537849i
$53$	−11.1040	−	3.60791i	−1.52525	−	0.495585i	−0.577990	−	0.816044i	$-0.696163\pi$
$53$	−11.1040	−	3.60791i	−1.52525	−	0.495585i	−0.947262	+	0.320459i	$0.896163\pi$
$54$	3.54496	−	10.9103i	0.482408	−	1.48470i
$55$	−7.51563	+	1.68306i	−1.01341	+	0.226944i
$56$	0.193502	+	0.595537i	0.0258578	+	0.0795820i
$57$		−	3.11224i		−	0.412226i
$58$	7.02332	−	2.28201i	0.922207	−	0.299643i
$59$	−0.989217	−	0.718708i	−0.128785	−	0.0935679i	0.521528	−	0.853234i	$-0.325362\pi$
$59$	−0.989217	−	0.718708i	−0.128785	−	0.0935679i	−0.650313	+	0.759666i	$0.725362\pi$
$60$	5.98865	−	3.54487i	0.773131	−	0.457641i
$61$	10.8248	−	7.86464i	1.38597	−	1.00696i	0.389674	−	0.920953i	$-0.372588\pi$
$61$	10.8248	−	7.86464i	1.38597	−	1.00696i	0.996294	−	0.0860115i	$-0.0274122\pi$
$62$	−2.82367	+	3.88644i	−0.358606	+	0.493579i
$63$	−2.46087	+	3.38710i	−0.310040	+	0.426734i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−9.22488	+	5.46050i	−1.14420	+	0.677291i
$66$	−8.67234	−	6.30082i	−1.06749	−	0.775578i
$67$	3.25118	−	1.05637i	0.397195	−	0.129057i	−0.103607	−	0.994618i	$-0.533038\pi$
$67$	3.25118	−	1.05637i	0.397195	−	0.129057i	0.500802	+	0.865562i	$0.333038\pi$
$68$		−	0.618814i		−	0.0750422i
$69$	4.63602	+	14.2682i	0.558111	+	1.71769i
$70$	−1.36635	+	0.305982i	−0.163310	+	0.0365719i
$71$	−0.683587	+	2.10387i	−0.0811269	+	0.249683i	−0.983391	−	0.181502i	$-0.941904\pi$
$71$	−0.683587	+	2.10387i	−0.0811269	+	0.249683i	0.902264	+	0.431185i	$0.141904\pi$
$72$	6.35877	+	2.06609i	0.749389	+	0.243491i
$73$	4.08308	+	5.61988i	0.477888	+	0.657757i	0.978097	−	0.208148i	$-0.0667435\pi$
$73$	4.08308	+	5.61988i	0.477888	+	0.657757i	−0.500209	+	0.865905i	$0.666744\pi$
$74$	−3.38736			−0.393772
$75$	6.63675	+	14.0749i	0.766346	+	1.62523i
$76$	1.00000			0.114708
$77$	1.26773	+	1.74488i	0.144471	+	0.198848i
$78$	−14.1900	−	4.61061i	−1.60670	−	0.522049i
$79$	−2.25527	+	6.94102i	−0.253738	+	0.780926i	0.740337	+	0.672235i	$0.234666\pi$
$79$	−2.25527	+	6.94102i	−0.253738	+	0.780926i	−0.994076	+	0.108690i	$0.965334\pi$
$80$	1.13901	+	1.92423i	0.127345	+	0.215135i
$81$	4.83448	+	14.8790i	0.537165	+	1.65322i
$82$		−	3.62108i		−	0.399881i
$83$	−13.5267	+	4.39510i	−1.48475	+	0.482424i	−0.935528	−	0.353252i	$-0.885076\pi$
$83$	−13.5267	+	4.39510i	−1.48475	+	0.482424i	−0.549221	+	0.835677i	$0.685076\pi$
$84$	−1.57664	−	1.14550i	−0.172026	−	0.124984i
$85$	1.37762	+	0.129674i	0.149424	+	0.0140652i
$86$	−2.39909	+	1.74304i	−0.258700	+	0.187957i
$87$	−13.5091	+	18.5937i	−1.44833	+	1.99346i
$88$	2.02453	−	2.78653i	0.215816	−	0.297045i
$89$	0.192359	−	0.139757i	0.0203900	−	0.0148142i	−0.577544	−	0.816360i	$-0.695989\pi$
$89$	0.192359	−	0.139757i	0.0203900	−	0.0148142i	0.597934	+	0.801546i	$0.295989\pi$
$90$	−5.93209	+	13.7231i	−0.625297	+	1.44654i
$91$	2.42865	+	1.76452i	0.254591	+	0.184971i
$92$	−4.58455	+	1.48961i	−0.477972	+	0.155303i
$93$		−	14.9509i		−	1.55033i
$94$	−2.21037	−	6.80282i	−0.227982	−	0.701658i
$95$	−0.209553	+	2.22623i	−0.0214997	+	0.228406i
$96$	−0.961734	+	2.95991i	−0.0981565	+	0.302095i
$97$	−1.32008	−	0.428919i	−0.134033	−	0.0435501i	0.241232	−	0.970467i	$-0.422448\pi$
$97$	−1.32008	−	0.428919i	−0.134033	−	0.0435501i	−0.375266	+	0.926917i	$0.622448\pi$
$98$	−3.88402	−	5.34590i	−0.392345	−	0.540017i
$99$	23.0289			2.31449
$100$	−4.52245	+	2.13247i	−0.452245	+	0.213247i
$101$	−15.6293			−1.55517			−0.777587	−	0.628776i	$-0.783556\pi$
$101$	−15.6293			−1.55517			−0.777587	+	0.628776i	$0.783556\pi$
$102$	1.13201	+	1.55808i	0.112086	+	0.154273i
$103$	−15.2485	−	4.95453i	−1.50248	−	0.488184i	−0.561738	−	0.827315i	$-0.689867\pi$
$103$	−15.2485	−	4.95453i	−1.50248	−	0.488184i	−0.940739	+	0.339131i	$0.889867\pi$
$104$	1.48145	−	4.55943i	0.145268	−	0.447089i
$105$	2.88053	−	3.26992i	0.281111	−	0.319111i
$106$	3.60791	+	11.1040i	0.350431	+	1.07852i
$107$			17.2605i			1.66863i	0.551286	+	0.834317i	$0.314137\pi$
$107$			17.2605i			1.66863i	−0.551286	+	0.834317i	$0.685863\pi$
$108$	−10.9103	+	3.54496i	−1.04984	+	0.341114i
$109$	−15.0543	−	10.9376i	−1.44194	−	1.04763i	−0.987633	−	0.156785i	$-0.949887\pi$
$109$	−15.0543	−	10.9376i	−1.44194	−	1.04763i	−0.454307	−	0.890845i	$-0.650113\pi$
$110$	5.77920	+	5.09100i	0.551025	+	0.485407i
$111$	8.52886	−	6.19658i	0.809523	−	0.588153i
$112$	0.368062	−	0.506594i	0.0347786	−	0.0478687i
$113$	7.39314	−	10.1758i	0.695488	−	0.957257i	−0.304501	−	0.952512i	$-0.598490\pi$
$113$	7.39314	−	10.1758i	0.695488	−	0.957257i	0.999989	−	0.00474476i	$-0.00151031\pi$
$114$	−2.51785	+	1.82933i	−0.235818	+	0.171332i
$115$	−2.35550	−	10.5184i	−0.219652	−	0.980845i
$116$	−5.97439	−	4.34065i	−0.554708	−	0.403019i
$117$	30.4844	−	9.90498i	2.81828	−	0.915715i
$118$			1.22274i			0.112562i
$119$	−0.119742	−	0.368527i	−0.0109767	−	0.0337828i
$120$	−6.38790	−	2.76130i	−0.583133	−	0.252071i
$121$	0.266829	−	0.821216i	0.0242572	−	0.0746560i
$122$	−12.7253	−	4.13469i	−1.15209	−	0.374337i
$123$	6.62413	+	9.11734i	0.597278	+	0.822083i
$124$	4.80391			0.431404
$125$	−3.79967	−	10.5149i	−0.339853	−	0.940479i
$126$	4.18668			0.372979
$127$	−2.33357	−	3.21189i	−0.207071	−	0.285009i	0.692832	−	0.721099i	$-0.256363\pi$
$127$	−2.33357	−	3.21189i	−0.207071	−	0.285009i	−0.899903	+	0.436090i	$0.856363\pi$
$128$	−0.951057	−	0.309017i	−0.0840623	−	0.0273135i
$129$	2.85196	−	8.77742i	0.251101	−	0.772809i
$130$	9.83988	+	4.25348i	0.863015	+	0.373055i
$131$	0.275098	+	0.846663i	0.0240354	+	0.0739733i	0.962355	−	0.271797i	$-0.0876178\pi$
$131$	0.275098	+	0.846663i	0.0240354	+	0.0739733i	−0.938319	+	0.345770i	$0.887618\pi$
$132$			10.7196i			0.933021i
$133$	0.595537	−	0.193502i	0.0516396	−	0.0167787i
$134$	−2.76562	−	2.00934i	−0.238913	−	0.173581i
$135$	−5.60561	−	25.0316i	−0.482454	−	2.15438i
$136$	−0.500631	+	0.363730i	−0.0429287	+	0.0311895i
$137$	3.47103	−	4.77746i	0.296550	−	0.408166i	−0.634578	−	0.772859i	$-0.718826\pi$
$137$	3.47103	−	4.77746i	0.296550	−	0.408166i	0.931128	+	0.364693i	$0.118826\pi$
$138$	8.81823	−	12.1372i	0.750657	−	1.03319i
$139$	−15.0182	+	10.9114i	−1.27383	+	0.925489i	−0.999348	−	0.0361046i	$-0.988505\pi$
$139$	−15.0182	+	10.9114i	−1.27383	+	0.925489i	−0.274478	+	0.961593i	$0.588505\pi$
$140$	1.05067	+	0.925549i	0.0887974	+	0.0782232i
$141$	18.0100	+	13.0850i	1.51671	+	1.10196i
$142$	2.10387	−	0.683587i	0.176552	−	0.0573654i
$143$		−	16.5124i		−	1.38084i
$144$	−2.06609	−	6.35877i	−0.172174	−	0.529898i
$145$	10.9152	−	12.3908i	0.906460	−	1.02900i
$146$	2.14660	−	6.60656i	0.177654	−	0.546763i
$147$	19.5588	+	6.35503i	1.61318	+	0.524154i
$148$	1.99104	+	2.74043i	0.163662	+	0.225262i
$149$	−21.3640			−1.75020			−0.875102	−	0.483938i	$-0.839206\pi$
$149$	−21.3640			−1.75020			−0.875102	+	0.483938i	$0.839206\pi$
$150$	7.48588	−	13.6423i	0.611220	−	1.11389i
$151$	−5.03197			−0.409496			−0.204748	−	0.978815i	$-0.565637\pi$
$151$	−5.03197			−0.409496			−0.204748	+	0.978815i	$0.565637\pi$
$152$	−0.587785	−	0.809017i	−0.0476757	−	0.0656199i
$153$	−3.93490	−	1.27853i	−0.318117	−	0.103363i
$154$	0.666486	−	2.05123i	0.0537070	−	0.165293i
$155$	−1.00667	+	10.6946i	−0.0808580	+	0.859010i
$156$	4.61061	+	14.1900i	0.369145	+	1.13611i
$157$			4.53889i			0.362243i	0.983461	+	0.181121i	$0.0579727\pi$
$157$			4.53889i			0.362243i	−0.983461	+	0.181121i	$0.942027\pi$
$158$	6.94102	−	2.25527i	0.552198	−	0.179420i
$159$	−29.3970	−	21.3582i	−2.33134	−	1.69382i
$160$	0.887239	−	2.05251i	0.0701424	−	0.162265i
$161$	−2.44203	+	1.77424i	−0.192459	+	0.139829i
$162$	9.19573	−	12.6568i	0.722485	−	0.994415i
$163$	6.67535	−	9.18782i	0.522853	−	0.719646i	−0.463167	−	0.886271i	$-0.653287\pi$
$163$	6.67535	−	9.18782i	0.522853	−	0.719646i	0.986020	+	0.166625i	$0.0532870\pi$
$164$	−2.92951	+	2.12842i	−0.228757	+	0.166201i
$165$	−23.8643	−	2.24633i	−1.85783	−	0.174876i
$166$	11.5065	+	8.35997i	0.893078	+	0.648859i
$167$	11.9667	−	3.88823i	0.926015	−	0.300880i	0.193083	−	0.981182i	$-0.438151\pi$
$167$	11.9667	−	3.88823i	0.926015	−	0.300880i	0.732932	+	0.680302i	$0.238151\pi$
$168$			1.94884i			0.150356i
$169$	−3.08494	−	9.49446i	−0.237303	−	0.730343i
$170$	−0.704836	−	1.19074i	−0.0540584	−	0.0913255i
$171$	2.06609	−	6.35877i	0.157998	−	0.486268i
$172$	2.82029	+	0.916369i	0.215045	+	0.0698725i
$173$	−8.27738	−	11.3928i	−0.629317	−	0.866181i	0.368672	−	0.929560i	$-0.379813\pi$
$173$	−8.27738	−	11.3928i	−0.629317	−	0.866181i	−0.997990	+	0.0633783i	$0.979813\pi$
$174$	22.9831			1.74234
$175$	−2.28065	+	2.14507i	−0.172401	+	0.162152i
$176$	−3.44434			−0.259627
$177$	−2.23679	−	3.07868i	−0.168127	−	0.231408i
$178$	−0.226132	−	0.0734746i	−0.0169493	−	0.00550715i
$179$	−7.65050	+	23.5458i	−0.571825	+	1.75990i	0.0749173	+	0.997190i	$0.476131\pi$
$179$	−7.65050	+	23.5458i	−0.571825	+	1.75990i	−0.646743	+	0.762708i	$0.723869\pi$
$180$	14.5890	−	3.26709i	1.08740	−	0.243514i
$181$	0.887168	+	2.73042i	0.0659427	+	0.202951i	0.978599	−	0.205778i	$-0.0659723\pi$
$181$	0.887168	+	2.73042i	0.0659427	+	0.202951i	−0.912656	+	0.408728i	$0.865972\pi$
$182$		−	3.00197i		−	0.222521i
$183$	39.6040	−	12.8681i	2.92761	−	0.951239i
$184$	3.89985	+	2.83341i	0.287501	+	0.208881i
$185$	−6.51804	+	3.85824i	−0.479216	+	0.283663i
$186$	−12.0955	+	8.78791i	−0.886887	+	0.644361i
$187$	−1.25281	+	1.72434i	−0.0916144	+	0.126096i
$188$	−4.20438	+	5.78683i	−0.306636	+	0.422048i
$189$	−5.81152	+	4.22231i	−0.422726	+	0.307128i
$190$	1.92423	−	1.13901i	0.139598	−	0.0826326i
$191$	−19.8118	−	14.3941i	−1.43353	−	1.04152i	−0.989346	−	0.145582i	$-0.953494\pi$
$191$	−19.8118	−	14.3941i	−1.43353	−	1.04152i	−0.444182	−	0.895937i	$-0.646506\pi$
$192$	2.95991	−	0.961734i	0.213613	−	0.0694072i
$193$			8.45779i			0.608805i	0.952543	+	0.304403i	$0.0984568\pi$
$193$			8.45779i			0.608805i	−0.952543	+	0.304403i	$0.901543\pi$
$194$	0.428919	+	1.32008i	0.0307946	+	0.0947759i
$195$	−32.5564	+	7.29071i	−2.33141	+	0.522099i
$196$	−2.04195	+	6.28448i	−0.145854	+	0.448891i
$197$	−9.88107	−	3.21055i	−0.703997	−	0.228743i	−0.0649258	−	0.997890i	$-0.520681\pi$
$197$	−9.88107	−	3.21055i	−0.703997	−	0.228743i	−0.639071	+	0.769148i	$0.720681\pi$
$198$	−13.5360	−	18.6308i	−0.961965	−	1.32403i
$199$	11.3057			0.801442			0.400721	−	0.916200i	$-0.368760\pi$
$199$	11.3057			0.801442			0.400721	+	0.916200i	$0.368760\pi$
$200$	4.38343	+	2.40531i	0.309956	+	0.170081i
$201$	10.6392			0.750429
$202$	9.18667	+	12.6444i	0.646372	+	0.889655i
$203$	−4.39790	−	1.42896i	−0.308672	−	0.100294i
$204$	0.595134	−	1.83163i	0.0416677	−	0.128240i
$205$	−4.12445	−	6.96778i	−0.288064	−	0.486651i
$206$	4.95453	+	15.2485i	0.345198	+	1.06241i
$207$			32.2298i			2.24012i
$208$	−4.55943	+	1.48145i	−0.316139	+	0.102720i
$209$	−2.78653	−	2.02453i	−0.192748	−	0.140040i
$210$	−4.33855	−	0.408385i	−0.299388	−	0.0281812i
$211$	−13.4311	+	9.75826i	−0.924634	+	0.671786i	−0.944673	−	0.328013i	$-0.893621\pi$
$211$	−13.4311	+	9.75826i	−0.924634	+	0.671786i	0.0200390	+	0.999799i	$0.493621\pi$
$212$	6.86265	−	9.44563i	0.471329	−	0.648729i
$213$	−4.04672	+	5.56983i	−0.277276	+	0.381638i
$214$	13.9640	−	10.1455i	0.954561	−	0.693529i
$215$	−2.63105	+	6.08659i	−0.179436	+	0.415102i
$216$	9.28083	+	6.74292i	0.631480	+	0.458797i
$217$	2.86091	−	0.929565i	0.194211	−	0.0631030i
$218$			18.6081i			1.26030i
$219$	6.68073	+	20.5612i	0.451442	+	1.38940i
$220$	0.721773	−	7.66788i	0.0486619	−	0.516969i
$221$	−0.916740	+	2.82144i	−0.0616666	+	0.189790i
$222$	−10.0263	−	3.25773i	−0.672920	−	0.218645i
$223$	16.5771	+	22.8164i	1.11008	+	1.52790i	0.821294	+	0.570505i	$0.193253\pi$
$223$	16.5771	+	22.8164i	1.11008	+	1.52790i	0.288789	+	0.957393i	$0.406747\pi$
$224$	−0.626185			−0.0418387
$225$	4.21610	+	33.1631i	0.281073	+	2.21088i
$226$	−12.5780			−0.836673
$227$	−4.75647	−	6.54672i	−0.315698	−	0.434521i	0.621450	−	0.783454i	$-0.286544\pi$
$227$	−4.75647	−	6.54672i	−0.315698	−	0.434521i	−0.937148	+	0.348933i	$0.886544\pi$
$228$	2.95991	+	0.961734i	0.196025	+	0.0636924i
$229$	1.58288	−	4.87159i	0.104599	−	0.321924i	−0.885037	−	0.465521i	$-0.845867\pi$
$229$	1.58288	−	4.87159i	0.104599	−	0.321924i	0.989636	+	0.143597i	$0.0458669\pi$
$230$	−7.12503	+	8.08820i	−0.469811	+	0.533320i
$231$	2.07426	+	6.38392i	0.136476	+	0.420031i
$232$			7.38476i			0.484833i
$233$	25.4714	−	8.27617i	1.66869	−	0.542190i	0.686023	−	0.727579i	$-0.259355\pi$
$233$	25.4714	−	8.27617i	1.66869	−	0.542190i	0.982665	+	0.185390i	$0.0593547\pi$
$234$	−25.9316	−	18.8404i	−1.69520	−	1.23163i
$235$	−12.0018	−	10.5725i	−0.782908	−	0.689677i
$236$	0.989217	−	0.718708i	0.0643926	−	0.0467839i
$237$	−13.3508	+	18.3758i	−0.867229	+	1.19364i
$238$	−0.227762	+	0.313487i	−0.0147636	+	0.0203204i
$239$	−6.06089	+	4.40350i	−0.392047	+	0.284839i	−0.766294	−	0.642490i	$-0.777901\pi$
$239$	−6.06089	+	4.40350i	−0.392047	+	0.284839i	0.374247	+	0.927329i	$0.377901\pi$
$240$	1.52078	+	6.79097i	0.0981658	+	0.438355i
$241$	−9.02899	−	6.55995i	−0.581608	−	0.422563i	0.257695	−	0.966226i	$-0.417037\pi$
$241$	−9.02899	−	6.55995i	−0.581608	−	0.422563i	−0.839304	+	0.543663i	$0.817037\pi$
$242$	−0.821216	+	0.266829i	−0.0527898	+	0.0171524i
$243$			14.2748i			0.915730i
$244$	4.13469	+	12.7253i	0.264696	+	0.814651i
$245$	−13.5628	−	5.86278i	−0.866494	−	0.374559i
$246$	3.48251	−	10.7181i	0.222037	−	0.683359i
$247$	−4.55943	−	1.48145i	−0.290109	−	0.0942623i
$248$	−2.82367	−	3.88644i	−0.179303	−	0.246789i
$249$	−44.2648			−2.80517
$250$	−6.27332	+	9.25448i	−0.396760	+	0.585305i
$251$	1.26685			0.0799627			0.0399814	−	0.999200i	$-0.487270\pi$
$251$	1.26685			0.0799627			0.0399814	+	0.999200i	$0.487270\pi$
$252$	−2.46087	−	3.38710i	−0.155020	−	0.213367i
$253$	15.7907	+	5.13072i	0.992755	+	0.322566i
$254$	−1.22683	+	3.77580i	−0.0769783	+	0.236915i
$255$	3.95292	+	1.70873i	0.247541	+	0.107005i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$			4.85648i			0.302939i	0.988462	+	0.151469i	$0.0484005\pi$
$257$			4.85648i			0.302939i	−0.988462	+	0.151469i	$0.951599\pi$
$258$	−8.77742	+	2.85196i	−0.546458	+	0.177555i
$259$	1.71602	+	1.24676i	0.106628	+	0.0774698i
$260$	−2.34260	−	10.4608i	−0.145282	−	0.648749i
$261$	−39.9449	+	29.0216i	−2.47252	+	1.79639i
$262$	0.523267	−	0.720215i	0.0323275	−	0.0444950i
$263$	4.23749	−	5.83241i	0.261295	−	0.359642i	−0.658132	−	0.752903i	$-0.728653\pi$
$263$	4.23749	−	5.83241i	0.261295	−	0.359642i	0.919427	+	0.393261i	$0.128653\pi$
$264$	8.67234	−	6.30082i	0.533745	−	0.387789i
$265$	19.5900	+	17.2572i	1.20341	+	1.06010i
$266$	−0.506594	−	0.368062i	−0.0310613	−	0.0225673i
$267$	0.703775	−	0.228670i	0.0430703	−	0.0139944i
$268$			3.41850i			0.208818i
$269$	5.58059	+	17.1753i	0.340255	+	1.04720i	0.964075	+	0.265629i	$0.0855796\pi$
$269$	5.58059	+	17.1753i	0.340255	+	1.04720i	−0.623821	+	0.781568i	$0.714420\pi$
$270$	−16.9561	+	19.2482i	−1.03191	+	1.17141i
$271$	4.07619	−	12.5452i	0.247611	−	0.762069i	−0.747585	−	0.664166i	$-0.768787\pi$
$271$	4.07619	−	12.5452i	0.247611	−	0.762069i	0.995196	−	0.0979024i	$-0.0312133\pi$
$272$	0.588527	+	0.191224i	0.0356847	+	0.0115947i
$273$	5.49159	+	7.55852i	0.332366	+	0.457462i
$274$	−5.90526			−0.356750
$275$	16.9192	+	3.21366i	1.02027	+	0.193791i
$276$	−15.0025			−0.903042
$277$	−5.87619	−	8.08788i	−0.353066	−	0.485954i	0.595134	−	0.803626i	$-0.297099\pi$
$277$	−5.87619	−	8.08788i	−0.353066	−	0.485954i	−0.948201	+	0.317672i	$0.897099\pi$
$278$	17.6549	+	5.73644i	1.05887	+	0.344049i
$279$	9.92531	−	30.5470i	0.594213	−	1.82880i
$280$	0.131219	−	1.39403i	0.00784184	−	0.0833092i
$281$	0.402827	+	1.23978i	0.0240307	+	0.0739588i	0.962353	−	0.271804i	$-0.0876202\pi$
$281$	0.402827	+	1.23978i	0.0240307	+	0.0739588i	−0.938322	+	0.345763i	$0.887620\pi$
$282$		−	22.2615i		−	1.32566i
$283$	10.9832	−	3.56867i	0.652885	−	0.212135i	0.0361993	−	0.999345i	$-0.488475\pi$
$283$	10.9832	−	3.56867i	0.652885	−	0.212135i	0.616686	+	0.787209i	$0.288475\pi$
$284$	−1.78965	−	1.30026i	−0.106196	−	0.0771563i
$285$	−2.76130	+	6.38790i	−0.163565	+	0.378387i
$286$	−13.3588	+	9.70574i	−0.789923	+	0.573912i
$287$	−1.33278	+	1.83442i	−0.0786717	+	0.108282i
$288$	−3.92994	+	5.40910i	−0.231574	+	0.318734i
$289$	−13.4435	+	9.76727i	−0.790794	+	0.574545i
$290$	−16.4401	−	1.54750i	−0.965398	−	0.0908723i
$291$	−3.49480	−	2.53912i	−0.204869	−	0.148846i
$292$	−6.60656	+	2.14660i	−0.386620	+	0.125620i
$293$			17.6991i			1.03399i	0.855988	+	0.516995i	$0.172950\pi$
$293$			17.6991i			1.03399i	−0.855988	+	0.516995i	$0.827050\pi$
$294$	−6.35503	−	19.5588i	−0.370633	−	1.14069i
$295$	1.39271	+	2.35283i	0.0810870	+	0.136987i
$296$	1.04675	−	3.22157i	0.0608411	−	0.187250i
$297$	37.5787	+	12.2101i	2.18054	+	0.708499i
$298$	12.5574	+	17.2838i	0.727432	+	1.00122i
$299$	23.1097			1.33647
$300$	−15.4369	+	1.96253i	−0.891251	+	0.113307i
$301$	1.85691			0.107030
$302$	2.95772	+	4.07095i	0.170197	+	0.234257i
$303$	−46.2614	−	15.0312i	−2.65765	−	0.863521i
$304$	−0.309017	+	0.951057i	−0.0177233	+	0.0545468i
$305$	−29.1958	+	6.53814i	−1.67174	+	0.374373i
$306$	1.27853	+	3.93490i	0.0730884	+	0.224943i
$307$		−	18.7124i		−	1.06797i	−0.845493	−	0.533986i	$-0.820693\pi$
$307$		−	18.7124i		−	1.06797i	0.845493	−	0.533986i	$-0.179307\pi$
$308$	−2.05123	+	0.666486i	−0.116880	+	0.0379766i
$309$	−40.3692	−	29.3299i	−2.29652	−	1.66852i
$310$	9.24381	−	5.47170i	0.525013	−	0.310772i
$311$	4.66685	−	3.39067i	0.264633	−	0.192267i	−0.447554	−	0.894257i	$-0.647705\pi$
$311$	4.66685	−	3.39067i	0.264633	−	0.192267i	0.712187	+	0.701990i	$0.247705\pi$
$312$	8.76991	−	12.0707i	0.496498	−	0.683371i
$313$	−1.16582	+	1.60461i	−0.0658959	+	0.0906979i	−0.840693	−	0.541512i	$-0.817852\pi$
$313$	−1.16582	+	1.60461i	−0.0658959	+	0.0906979i	0.774797	+	0.632210i	$0.217852\pi$
$314$	3.67204	−	2.66789i	0.207225	−	0.150558i
$315$	8.05613	−	4.76868i	0.453911	−	0.268684i
$316$	−5.90438	−	4.28979i	−0.332148	−	0.241319i
$317$	19.7073	−	6.40328i	1.10687	−	0.359644i	0.302127	−	0.953268i	$-0.402303\pi$
$317$	19.7073	−	6.40328i	1.10687	−	0.359644i	0.804743	+	0.593624i	$0.202303\pi$
$318$			36.3367i			2.03766i
$319$	7.86004	+	24.1907i	0.440077	+	1.35442i
$320$	−2.18202	+	0.488645i	−0.121979	+	0.0273161i
$321$	−16.6000	+	51.0895i	−0.926521	+	2.85154i
$322$	2.87077	+	0.932771i	0.159982	+	0.0519813i
$323$	0.363730	+	0.500631i	0.0202385	+	0.0278558i
$324$	−15.6447			−0.869150
$325$	23.7789	−	3.02306i	1.31902	−	0.167689i
$326$	−11.3568			−0.628994
$327$	−34.0403	−	46.8525i	−1.88244	−	2.59095i
$328$	3.44385	+	1.11897i	0.190155	+	0.0617850i
$329$	−1.38410	+	4.25983i	−0.0763080	+	0.234852i
$330$	12.2097	+	20.6269i	0.672124	+	1.13548i
$331$	−9.79646	−	30.1504i	−0.538462	−	1.65722i	−0.736047	−	0.676930i	$-0.763310\pi$
$331$	−9.79646	−	30.1504i	−0.538462	−	1.65722i	0.197586	−	0.980286i	$-0.436690\pi$
$332$		−	14.2228i		−	0.780579i
$333$	21.5394	−	6.99859i	1.18035	−	0.383520i
$334$	−10.1795	−	7.39586i	−0.556999	−	0.404683i
$335$	−7.61035	−	0.716357i	−0.415798	−	0.0391388i
$336$	1.57664	−	1.14550i	0.0860128	−	0.0624920i
$337$	−5.58217	+	7.68319i	−0.304080	+	0.418530i	−0.933524	−	0.358516i	$-0.883283\pi$
$337$	−5.58217	+	7.68319i	−0.304080	+	0.418530i	0.629444	+	0.777046i	$0.283283\pi$
$338$	−5.86790	+	8.07647i	−0.319172	+	0.439302i
$339$	31.6694	−	23.0092i	1.72005	−	1.24969i
$340$	−0.549036	+	1.27012i	−0.0297756	+	0.0688821i
$341$	−13.3862	−	9.72566i	−0.724905	−	0.526674i
$342$	−6.35877	+	2.06609i	−0.343843	+	0.111721i
$343$			8.52106i			0.460094i
$344$	−0.916369	−	2.82029i	−0.0494073	−	0.152060i
$345$	3.14381	−	33.3989i	0.169257	−	1.79814i
$346$	−4.35168	+	13.3931i	−0.233948	+	0.720016i
$347$	−0.0792334	−	0.0257445i	−0.00425347	−	0.00138204i	0.306889	−	0.951745i	$-0.400712\pi$
$347$	−0.0792334	−	0.0257445i	−0.00425347	−	0.00138204i	−0.311143	+	0.950363i	$0.600712\pi$
$348$	−13.5091	−	18.5937i	−0.724165	−	0.996728i
$349$	−10.6635			−0.570802			−0.285401	−	0.958408i	$-0.592127\pi$
$349$	−10.6635			−0.570802			−0.285401	+	0.958408i	$0.592127\pi$
$350$	3.07593	+	0.584247i	0.164415	+	0.0312293i
$351$	54.9963			2.93548
$352$	2.02453	+	2.78653i	0.107908	+	0.148523i
$353$	7.11323	+	2.31123i	0.378599	+	0.123014i	0.492133	−	0.870520i	$-0.336217\pi$
$353$	7.11323	+	2.31123i	0.378599	+	0.123014i	−0.113534	+	0.993534i	$0.536217\pi$
$354$	−1.17595	+	3.61920i	−0.0625010	+	0.192358i
$355$	3.26970	−	3.71170i	0.173538	−	0.196997i
$356$	0.0734746	+	0.226132i	0.00389415	+	0.0119849i
$357$		−	1.20597i		−	0.0638265i
$358$	23.5458	−	7.65050i	1.24444	−	0.404342i
$359$	2.99799	+	2.17817i	0.158228	+	0.114959i	0.664082	−	0.747660i	$-0.268823\pi$
$359$	2.99799	+	2.17817i	0.158228	+	0.114959i	−0.505854	+	0.862619i	$0.668823\pi$
$360$	−11.2183	−	9.88243i	−0.591259	−	0.520850i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	1.68749	−	2.32264i	0.0886928	−	0.122075i
$363$	1.57958	−	2.17411i	0.0829066	−	0.114111i
$364$	−2.42865	+	1.76452i	−0.127296	+	0.0924857i
$365$	−3.39440	−	15.1575i	−0.177671	−	0.793381i
$366$	−33.6892	−	24.4766i	−1.76096	−	1.27941i
$367$	9.92723	−	3.22555i	0.518197	−	0.168372i	−0.0382298	−	0.999269i	$-0.512172\pi$
$367$	9.92723	−	3.22555i	0.518197	−	0.168372i	0.556427	+	0.830897i	$0.312172\pi$
$368$		−	4.82048i		−	0.251285i
$369$	7.48148	+	23.0256i	0.389470	+	1.19867i
$370$	6.95259	+	3.00539i	0.361448	+	0.156243i
$371$	2.25922	−	6.95316i	0.117293	−	0.360990i
$372$	14.2191	+	4.62008i	0.737228	+	0.239540i
$373$	5.33033	+	7.33657i	0.275994	+	0.379873i	0.924402	−	0.381420i	$-0.124565\pi$
$373$	5.33033	+	7.33657i	0.275994	+	0.379873i	−0.648408	+	0.761293i	$0.724565\pi$
$374$	2.13140			0.110212
$375$	−1.13418	−	34.7774i	−0.0585685	−	1.79590i
$376$	7.15291			0.368883
$377$	20.8094	+	28.6416i	1.07174	+	1.47512i
$378$	6.83185	+	2.21980i	0.351392	+	0.114174i
$379$	−6.39149	+	19.6710i	−0.328309	+	1.01043i	0.641616	+	0.767026i	$0.278264\pi$
$379$	−6.39149	+	19.6710i	−0.328309	+	1.01043i	−0.969925	+	0.243404i	$0.921736\pi$
$380$	−2.05251	−	0.887239i	−0.105292	−	0.0455144i
$381$	−3.81819	−	11.7512i	−0.195612	−	0.602032i
$382$			24.4887i			1.25295i
$383$	1.01194	−	0.328798i	0.0517075	−	0.0168008i	−0.283049	−	0.959105i	$-0.591346\pi$
$383$	1.01194	−	0.328798i	0.0517075	−	0.0168008i	0.334757	+	0.942305i	$0.391346\pi$
$384$	−2.51785	−	1.82933i	−0.128489	−	0.0933524i
$385$	−1.05391	−	4.70618i	−0.0537121	−	0.239849i
$386$	6.84250	−	4.97137i	0.348274	−	0.253036i
$387$	11.6540	−	16.0403i	0.592404	−	0.815375i
$388$	0.815852	−	1.12292i	0.0414186	−	0.0570078i
$389$	−28.2863	+	20.5512i	−1.43417	+	1.04199i	−0.444953	+	0.895554i	$0.646780\pi$
$389$	−28.2863	+	20.5512i	−1.43417	+	1.04199i	−0.989220	+	0.146435i	$0.953220\pi$
$390$	25.0345	+	22.0533i	1.26767	+	1.11671i
$391$	−2.41328	−	1.75335i	−0.122045	−	0.0886707i
$392$	6.28448	−	2.04195i	0.317414	−	0.103134i
$393$			2.77062i			0.139759i
$394$	3.21055	+	9.88107i	0.161745	+	0.497801i
$395$	10.7873	−	12.2456i	0.542769	−	0.616141i
$396$	−7.11632	+	21.9018i	−0.357609	+	1.10061i
$397$	2.10807	+	0.684952i	0.105801	+	0.0343768i	0.361439	−	0.932396i	$-0.382286\pi$
$397$	2.10807	+	0.684952i	0.105801	+	0.0343768i	−0.255638	+	0.966773i	$0.582286\pi$
$398$	−6.64534	−	9.14653i	−0.333101	−	0.458474i
$399$	1.94884			0.0975638
$400$	−0.630585	−	4.96008i	−0.0315292	−	0.248004i
$401$	24.2842			1.21270			0.606348	−	0.795199i	$-0.292634\pi$
$401$	24.2842			1.21270			0.606348	+	0.795199i	$0.292634\pi$
$402$	−6.25354	−	8.60726i	−0.311898	−	0.429291i
$403$	−21.9031	−	7.11674i	−1.09107	−	0.354510i
$404$	4.82972	−	14.8643i	0.240288	−	0.739529i
$405$	3.27840	−	34.8287i	0.162905	−	1.73065i
$406$	1.42896	+	4.39790i	0.0709183	+	0.218264i
$407$		−	11.6672i		−	0.578322i
$408$	−1.83163	+	0.595134i	−0.0906794	+	0.0294635i
$409$	−10.9964	−	7.98934i	−0.543736	−	0.395048i	0.281734	−	0.959492i	$-0.409090\pi$
$409$	−10.9964	−	7.98934i	−0.543736	−	0.395048i	−0.825471	+	0.564445i	$0.809090\pi$
$410$	−3.21276	+	7.43231i	−0.158667	+	0.367056i
$411$	14.8686	−	10.8027i	0.733413	−	0.532856i
$412$	9.42407	−	12.9711i	0.464291	−	0.639042i
$413$	0.450044	−	0.619433i	0.0221452	−	0.0304803i
$414$	26.0744	−	18.9442i	1.28149	−	0.931056i
$415$	31.6632	+	2.98044i	1.55429	+	0.146304i
$416$	3.87848	+	2.81788i	0.190158	+	0.138158i
$417$	−54.9463	+	17.8531i	−2.69073	+	0.874272i
$418$			3.44434i			0.168468i
$419$	−9.91974	−	30.5298i	−0.484611	−	1.49148i	−0.832544	−	0.553959i	$-0.813116\pi$
$419$	−9.91974	−	30.5298i	−0.484611	−	1.49148i	0.347933	−	0.937519i	$-0.386884\pi$
$420$	2.21975	+	3.75000i	0.108312	+	0.182981i
$421$	−11.5119	+	35.4300i	−0.561056	+	1.72675i	0.118332	+	0.992974i	$0.462245\pi$
$421$	−11.5119	+	35.4300i	−0.561056	+	1.72675i	−0.679388	+	0.733779i	$0.737755\pi$
$422$	15.7892	+	5.13022i	0.768606	+	0.249735i
$423$	28.1105	+	38.6908i	1.36678	+	1.88121i
$424$	−11.6754			−0.567010
$425$	−2.71253	−	1.48844i	−0.131577	−	0.0721998i
$426$	6.88469			0.333564
$427$	4.92472	+	6.77830i	0.238324	+	0.328025i
$428$	−16.4157	−	5.33378i	−0.793482	−	0.257818i
$429$	15.8805	−	48.8752i	0.766719	−	2.35972i
$430$	6.47064	−	1.44904i	0.312042	−	0.0698791i
$431$	8.76248	+	26.9681i	0.422074	+	1.29901i	0.905769	+	0.423773i	$0.139294\pi$
$431$	8.76248	+	26.9681i	0.422074	+	1.29901i	−0.483695	+	0.875237i	$0.660706\pi$
$432$		−	11.4717i		−	0.551934i
$433$	16.0465	−	5.21384i	0.771148	−	0.250561i	0.103091	−	0.994672i	$-0.467127\pi$
$433$	16.0465	−	5.21384i	0.771148	−	0.250561i	0.668056	+	0.744111i	$0.267127\pi$
$434$	−2.43363	−	1.76814i	−0.116818	−	0.0848733i
$435$	44.2247	−	26.1780i	2.12041	−	1.25514i
$436$	15.0543	−	10.9376i	0.720970	−	0.523815i
$437$	2.83341	−	3.89985i	0.135540	−	0.186555i
$438$	12.7075	−	17.4904i	0.607188	−	0.835723i
$439$	23.7264	−	17.2383i	1.13240	−	0.822737i	0.146358	−	0.989232i	$-0.453245\pi$
$439$	23.7264	−	17.2383i	1.13240	−	0.822737i	0.986042	+	0.166494i	$0.0532448\pi$
$440$	−6.62770	+	3.92314i	−0.315963	+	0.187028i
$441$	35.7427	+	25.9686i	1.70203	+	1.23660i
$442$	2.82144	−	0.916740i	0.134202	−	0.0436049i
$443$			10.3644i			0.492426i	0.969216	+	0.246213i	$0.0791862\pi$
$443$			10.3644i			0.492426i	−0.969216	+	0.246213i	$0.920814\pi$
$444$	3.25773	+	10.0263i	0.154605	+	0.475826i
$445$	−0.518817	+	0.116185i	−0.0245943	+	0.00550768i
$446$	8.71508	−	26.8223i	0.412671	−	1.27007i
$447$	−63.2355	−	20.5464i	−2.99093	−	0.971814i
$448$	0.368062	+	0.506594i	0.0173893	+	0.0239343i
$449$	−17.5227			−0.826948			−0.413474	−	0.910516i	$-0.635685\pi$
$449$	−17.5227			−0.826948			−0.413474	+	0.910516i	$0.635685\pi$
$450$	24.3514	−	22.9037i	1.14793	−	1.07969i
$451$	12.4722			0.587294
$452$	7.39314	+	10.1758i	0.347744	+	0.478628i
$453$	−14.8942	−	4.83941i	−0.699790	−	0.227375i
$454$	−2.50062	+	7.69613i	−0.117360	+	0.361197i
$455$	−3.41928	−	5.77648i	−0.160298	−	0.270806i
$456$	−0.961734	−	2.95991i	−0.0450373	−	0.138611i
$457$			15.4426i			0.722375i	0.932493	+	0.361187i	$0.117629\pi$
$457$			15.4426i			0.722375i	−0.932493	+	0.361187i	$0.882371\pi$
$458$	−4.87159	+	1.58288i	−0.227635	+	0.0739630i
$459$	−5.74310	−	4.17261i	−0.268065	−	0.194761i
$460$	10.7315	+	1.01015i	0.500358	+	0.0470983i
$461$	−28.3003	+	20.5614i	−1.31808	+	0.957638i	−0.318121	+	0.948050i	$0.603052\pi$
$461$	−28.3003	+	20.5614i	−1.31808	+	0.957638i	−0.999954	+	0.00958745i	$0.996948\pi$
$462$	3.94548	−	5.43049i	0.183560	−	0.252649i
$463$	11.8792	−	16.3503i	0.552074	−	0.759865i	−0.438217	−	0.898869i	$-0.644390\pi$
$463$	11.8792	−	16.3503i	0.552074	−	0.759865i	0.990292	+	0.139004i	$0.0443900\pi$
$464$	5.97439	−	4.34065i	0.277354	−	0.201510i
$465$	−13.2650	+	30.6869i	−0.615150	+	1.42307i
$466$	−21.6673	−	15.7422i	−1.00372	−	0.729244i
$467$	−28.0211	+	9.10460i	−1.29666	+	0.421311i	−0.874418	−	0.485173i	$-0.838757\pi$
$467$	−28.0211	+	9.10460i	−1.29666	+	0.421311i	−0.422242	+	0.906483i	$0.638757\pi$
$468$			32.0532i			1.48166i
$469$	0.661485	+	2.03584i	0.0305445	+	0.0940064i
$470$	−1.49892	+	15.9240i	−0.0691398	+	0.734520i
$471$	−4.36520	+	13.4347i	−0.201138	+	0.619039i
$472$	−1.16289	−	0.377847i	−0.0535266	−	0.0173918i
$473$	−6.00361	−	8.26326i	−0.276046	−	0.379945i
$474$	22.7138			1.04328
$475$	2.40531	−	4.38343i	0.110363	−	0.201126i
$476$	0.387492			0.0177607
$477$	−45.8838	−	63.1536i	−2.10087	−	2.89161i
$478$	7.12501	+	2.31506i	0.325890	+	0.105888i
$479$	0.0154326	−	0.0474966i	0.000705133	−	0.00217017i	−0.950703	−	0.310102i	$-0.899637\pi$
$479$	0.0154326	−	0.0474966i	0.000705133	−	0.00217017i	0.951408	+	0.307932i	$0.0996368\pi$
$480$	4.60012	−	5.22197i	0.209966	−	0.238349i
$481$	−5.01819	−	15.4444i	−0.228810	−	0.704204i
$482$			11.1604i			0.508344i
$483$	−8.93453	+	2.90300i	−0.406535	+	0.132091i
$484$	0.698568	+	0.507540i	0.0317531	+	0.0230700i
$485$	2.32892	+	2.05158i	0.105751	+	0.0931576i
$486$	11.5486	−	8.39053i	0.523854	−	0.380602i
$487$	12.5493	−	17.2726i	0.568662	−	0.782697i	−0.423733	−	0.905787i	$-0.639281\pi$
$487$	12.5493	−	17.2726i	0.568662	−	0.782697i	0.992395	+	0.123091i	$0.0392806\pi$
$488$	7.86464	−	10.8248i	0.356016	−	0.490014i
$489$	28.5947	−	20.7752i	1.29310	−	0.939489i
$490$	3.22891	+	14.4186i	0.145867	+	0.651365i
$491$	18.1521	+	13.1883i	0.819192	+	0.595178i	0.916481	−	0.400079i	$-0.131017\pi$
$491$	18.1521	+	13.1883i	0.819192	+	0.595178i	−0.0972892	+	0.995256i	$0.531017\pi$
$492$	−10.7181	+	3.48251i	−0.483208	+	0.157004i
$493$		−	4.56979i		−	0.205813i
$494$	1.48145	+	4.55943i	0.0666535	+	0.205138i
$495$	−47.2671	−	20.4321i	−2.12450	−	0.918356i
$496$	−1.48449	+	4.56879i	−0.0666555	+	0.205145i
$497$	−1.31741	−	0.428052i	−0.0590939	−	0.0192008i
$498$	26.0182	+	35.8110i	1.16590	+	1.60473i
$499$	28.4643			1.27424			0.637119	−	0.770765i	$-0.280126\pi$
$499$	28.4643			1.27424			0.637119	+	0.770765i	$0.280126\pi$
$500$	11.1744	−	0.364425i	0.499734	−	0.0162976i
$501$	39.1600			1.74954
$502$	−0.744635	−	1.02490i	−0.0332347	−	0.0457436i
$503$	33.9437	+	11.0290i	1.51347	+	0.491757i	0.943914	−	0.330193i	$-0.107114\pi$
$503$	33.9437	+	11.0290i	1.51347	+	0.491757i	0.569560	+	0.821950i	$0.307114\pi$
$504$	−1.29376	+	3.98177i	−0.0576284	+	0.177362i
$505$	32.0793	+	13.8669i	1.42751	+	0.617070i
$506$	−5.13072	−	15.7907i	−0.228088	−	0.701984i
$507$		−	31.0697i		−	1.37985i
$508$	3.77580	−	1.22683i	0.167524	−	0.0544319i
$509$	−1.78394	−	1.29611i	−0.0790719	−	0.0574491i	0.547547	−	0.836775i	$-0.315562\pi$
$509$	−1.78394	−	1.29611i	−0.0790719	−	0.0574491i	−0.626619	+	0.779326i	$0.715562\pi$
$510$	−0.941078	−	4.20235i	−0.0416717	−	0.186083i
$511$	−3.51908	+	2.55676i	−0.155675	+	0.113105i
$512$	0.587785	−	0.809017i	0.0259767	−	0.0357538i
$513$	6.74292	−	9.28083i	0.297707	−	0.409759i
$514$	3.92898	−	2.85457i	0.173300	−	0.125910i
$515$	26.9018	+	23.6983i	1.18544	+	1.04427i
$516$	7.46652	+	5.42474i	0.328695	+	0.238811i
$517$	23.4312	−	7.61327i	1.03050	−	0.334831i
$518$		−	2.12111i		−	0.0931963i
$519$	−13.5434	−	41.6824i	−0.594491	−	1.82966i
$520$	−7.08599	+	8.04388i	−0.310741	+	0.352748i
$521$	12.8453	−	39.5336i	0.562761	−	1.73200i	−0.111751	−	0.993736i	$-0.535646\pi$
$521$	12.8453	−	39.5336i	0.562761	−	1.73200i	0.674512	−	0.738264i	$-0.264354\pi$
$522$	46.9580	+	15.2576i	2.05530	+	0.667806i
$523$	14.1645	+	19.4957i	0.619369	+	0.852488i	0.997307	−	0.0733427i	$-0.0233667\pi$
$523$	14.1645	+	19.4957i	0.619369	+	0.852488i	−0.377938	+	0.925831i	$0.623367\pi$
$524$	−0.890234			−0.0388901
$525$	−8.81351	+	4.15583i	−0.384653	+	0.181375i
$526$	−7.20925			−0.314338
$527$	1.74732	+	2.40498i	0.0761146	+	0.104763i
$528$	−10.1949	−	3.31254i	−0.443678	−	0.144160i
$529$	−0.0732369	+	0.225400i	−0.00318421	+	0.00980000i
$530$	2.44663	−	25.9922i	0.106275	−	1.12903i
$531$	−2.52629	−	7.77513i	−0.109632	−	0.337412i
$532$			0.626185i			0.0271486i
$533$	16.5100	−	5.36444i	0.715129	−	0.232360i
$534$	−0.598667	−	0.434957i	−0.0259068	−	0.0188224i
$535$	15.3142	−	35.4273i	0.662089	−	1.53166i
$536$	2.76562	−	2.00934i	0.119457	−	0.0867903i
$537$	−45.2896	+	62.3358i	−1.95439	+	2.68999i
$538$	10.6149	−	14.6102i	0.457642	−	0.629890i
$539$	18.4131	−	13.3779i	0.793108	−	0.576227i
$540$	25.5387	+	2.40394i	1.09901	+	0.103449i
$541$	24.1033	+	17.5121i	1.03628	+	0.752904i	0.969557	−	0.244867i	$-0.0787443\pi$
$541$	24.1033	+	17.5121i	1.03628	+	0.752904i	0.0667270	+	0.997771i	$0.478744\pi$
$542$	−12.5452	+	4.07619i	−0.538864	+	0.175088i
$543$			8.93503i			0.383439i
$544$	−0.191224	−	0.588527i	−0.00819866	−	0.0252329i
$545$	21.1949	+	35.8063i	0.907889	+	1.53377i
$546$	2.88710	−	8.88557i	0.123556	−	0.380267i
$547$	−24.3855	−	7.92332i	−1.04265	−	0.338777i	−0.262868	−	0.964832i	$-0.584669\pi$
$547$	−24.3855	−	7.92332i	−1.04265	−	0.338777i	−0.779779	+	0.626055i	$0.784669\pi$
$548$	3.47103	+	4.77746i	0.148275	+	0.204083i
$549$	89.4597			3.81805
$550$	−7.34495	−	15.5769i	−0.313190	−	0.664200i
$551$	7.38476			0.314601
$552$	8.81823	+	12.1372i	0.375329	+	0.516595i
$553$	−4.34636	−	1.41222i	−0.184826	−	0.0600537i
$554$	−3.08930	+	9.50788i	−0.131252	+	0.403951i
$555$	−23.0034	+	5.15142i	−0.976441	+	0.218666i
$556$	−5.73644	−	17.6549i	−0.243279	−	0.748736i
$557$			19.5947i			0.830255i	0.909763	+	0.415128i	$0.136263\pi$
$557$			19.5947i			0.830255i	−0.909763	+	0.415128i	$0.863737\pi$
$558$	−30.5470	+	9.92531i	−1.29316	+	0.420172i
$559$	−11.5014	−	8.35624i	−0.486456	−	0.353431i
$560$	−1.20492	+	0.713232i	−0.0509173	+	0.0301395i
$561$	−5.36656	+	3.89903i	−0.226576	+	0.164617i
$562$	0.766223	−	1.05462i	0.0323212	−	0.0444863i
$563$	11.4637	−	15.7785i	0.483139	−	0.664984i	−0.495965	−	0.868343i	$-0.665186\pi$
$563$	11.4637	−	15.7785i	0.483139	−	0.664984i	0.979104	+	0.203358i	$0.0651856\pi$
$564$	−18.0100	+	13.0850i	−0.758357	+	0.550978i
$565$	−24.2029	+	14.3264i	−1.01822	+	0.602718i
$566$	−9.34289	−	6.78801i	−0.392711	−	0.285321i
$567$	−9.31701	+	3.02728i	−0.391278	+	0.127134i
$568$			2.21214i			0.0928191i
$569$	−2.74815	−	8.45794i	−0.115208	−	0.354575i	0.876782	−	0.480888i	$-0.159686\pi$
$569$	−2.74815	−	8.45794i	−0.115208	−	0.354575i	−0.991990	+	0.126313i	$0.959686\pi$
$570$	6.79097	−	1.52078i	0.284442	−	0.0636984i
$571$	−6.19170	+	19.0561i	−0.259114	+	0.797472i	0.733877	+	0.679283i	$0.237709\pi$
$571$	−6.19170	+	19.0561i	−0.259114	+	0.797472i	−0.992991	+	0.118189i	$0.962291\pi$
$572$	15.7042	+	5.10261i	0.656626	+	0.213351i
$573$	−44.7978	−	61.6588i	−1.87145	−	2.57583i
$574$	2.26747			0.0946422
$575$	−4.49763	+	23.6790i	−0.187564	+	0.987484i
$576$	6.68601			0.278584
$577$	3.13123	+	4.30977i	0.130355	+	0.179418i	0.869205	−	0.494451i	$-0.164631\pi$
$577$	3.13123	+	4.30977i	0.130355	+	0.179418i	−0.738850	+	0.673869i	$0.764631\pi$
$578$	15.8038	+	5.13496i	0.657350	+	0.213586i
$579$	−8.13414	+	25.0343i	−0.338043	+	1.04039i
$580$	8.41132	+	14.2100i	0.349261	+	0.590036i
$581$	−2.75214	−	8.47022i	−0.114178	−	0.351404i
$582$			4.31981i			0.179062i
$583$	−38.2460	+	12.4269i	−1.58399	+	0.514668i
$584$	5.61988	+	4.08308i	0.232552	+	0.168959i
$585$	−71.3577	−	6.71685i	−2.95028	−	0.277707i
$586$	14.3188	−	10.4033i	0.591506	−	0.429754i
$587$	9.79751	−	13.4851i	0.404387	−	0.556590i	−0.557452	−	0.830209i	$-0.688221\pi$
$587$	9.79751	−	13.4851i	0.404387	−	0.556590i	0.961838	+	0.273619i	$0.0882208\pi$
$588$	−12.0880	+	16.6377i	−0.498500	+	0.686127i
$589$	−3.88644	+	2.82367i	−0.160138	+	0.116347i
$590$	1.08486	−	2.50969i	0.0446631	−	0.103322i
$591$	−26.1594	−	19.0059i	−1.07605	−	0.781799i
$592$	−3.22157	+	1.04675i	−0.132406	+	0.0430212i
$593$		−	3.08655i		−	0.126749i	−0.997990	−	0.0633746i	$-0.979814\pi$
$593$		−	3.08655i		−	0.126749i	0.997990	−	0.0633746i	$-0.0201863\pi$
$594$	−12.2101	−	37.5787i	−0.500984	−	1.54187i
$595$	−0.0812002	+	0.862645i	−0.00332888	+	0.0353650i
$596$	6.60183	−	20.3183i	0.270421	−	0.832272i
$597$	33.4640	+	10.8731i	1.36959	+	0.445006i
$598$	−13.5835	−	18.6961i	−0.555472	−	0.764542i
$599$	−43.4784			−1.77648			−0.888240	−	0.459379i	$-0.848072\pi$
$599$	−43.4784			−1.77648			−0.888240	+	0.459379i	$0.848072\pi$
$600$	10.6613	+	11.3352i	0.435246	+	0.462757i
$601$	−33.1348			−1.35160			−0.675799	−	0.737086i	$-0.736201\pi$
$601$	−33.1348			−1.35160			−0.675799	+	0.737086i	$0.736201\pi$
$602$	−1.09146	−	1.50227i	−0.0444847	−	0.0612280i
$603$	21.7374	+	7.06292i	0.885217	+	0.287624i
$604$	1.55496	−	4.78568i	0.0632706	−	0.194727i
$605$	−1.27629	+	1.44882i	−0.0518884	+	0.0589027i
$606$	15.0312	+	46.2614i	0.610602	+	1.87924i
$607$		−	5.37965i		−	0.218353i	−0.994022	−	0.109177i	$-0.965179\pi$
$607$		−	5.37965i		−	0.218353i	0.994022	−	0.109177i	$-0.0348214\pi$
$608$	0.951057	−	0.309017i	0.0385704	−	0.0125323i
$609$	−11.6431	−	8.45921i	−0.471803	−	0.342785i
$610$	22.4503	+	19.7768i	0.908986	+	0.800741i
$611$	27.7424	−	20.1561i	1.12234	−	0.815427i
$612$	2.43190	−	3.34722i	0.0983037	−	0.135303i
$613$	24.2029	−	33.3124i	0.977546	−	1.34548i	0.0394046	−	0.999223i	$-0.487454\pi$
$613$	24.2029	−	33.3124i	0.977546	−	1.34548i	0.938141	−	0.346253i	$-0.112546\pi$
$614$	−15.1386	+	10.9989i	−0.610946	+	0.443878i
$615$	−5.50686	−	24.5906i	−0.222058	−	0.991590i
$616$	1.74488	+	1.26773i	0.0703033	+	0.0510784i
$617$	−17.3412	+	5.63449i	−0.698130	+	0.226836i	−0.636515	−	0.771264i	$-0.719625\pi$
$617$	−17.3412	+	5.63449i	−0.698130	+	0.226836i	−0.0616142	+	0.998100i	$0.519625\pi$
$618$			49.8991i			2.00724i
$619$	−7.49632	−	23.0713i	−0.301302	−	0.927314i	−0.981031	−	0.193850i	$-0.937902\pi$
$619$	−7.49632	−	23.0713i	−0.301302	−	0.927314i	0.679729	−	0.733464i	$-0.262098\pi$
$620$	−9.86008	−	4.26221i	−0.395990	−	0.171175i
$621$	−17.0884	+	52.5927i	−0.685734	+	2.11047i
$622$	−5.48621	−	1.78258i	−0.219977	−	0.0714749i
$623$	0.0875137	+	0.120452i	0.00350616	+	0.00482582i
$624$	−14.9203			−0.597289
$625$	−1.53034	+	24.9531i	−0.0612136	+	0.998125i
$626$	1.98341			0.0792729
$627$	−6.30082	−	8.67234i	−0.251631	−	0.346340i
$628$	−4.31674	−	1.40259i	−0.172257	−	0.0559696i
$629$	−0.647743	+	1.99355i	−0.0258272	+	0.0794880i
$630$	−8.59321	−	3.71459i	−0.342362	−	0.147993i
$631$	−0.320529	−	0.986486i	−0.0127600	−	0.0392714i	0.944474	−	0.328587i	$-0.106572\pi$
$631$	−0.320529	−	0.986486i	−0.0127600	−	0.0392714i	−0.957234	+	0.289315i	$0.906572\pi$
$632$			7.29822i			0.290308i
$633$	−49.1397	+	15.9664i	−1.95313	+	0.634609i
$634$	−16.7640	−	12.1798i	−0.665784	−	0.483720i
$635$	1.93998	+	8.66288i	0.0769856	+	0.343776i
$636$	29.3970	−	21.3582i	1.16567	−	0.846908i
$637$	18.6203	−	25.6286i	0.737761	−	1.01544i
$638$	14.9507	−	20.5778i	0.591903	−	0.814684i
$639$	−11.9657	+	8.69356i	−0.473354	+	0.343912i
$640$	1.67788	+	1.47808i	0.0663242	+	0.0584261i
$641$	−16.5501	−	12.0244i	−0.653690	−	0.474934i	0.210836	−	0.977521i	$-0.432381\pi$
$641$	−16.5501	−	12.0244i	−0.653690	−	0.474934i	−0.864526	+	0.502588i	$0.832381\pi$
$642$	51.0895	−	16.6000i	2.01634	−	0.655149i
$643$		−	13.3214i		−	0.525343i	−0.964885	−	0.262671i	$-0.915396\pi$
$643$		−	13.3214i		−	0.525343i	0.964885	−	0.262671i	$-0.0846035\pi$
$644$	−0.932771	−	2.87077i	−0.0367563	−	0.113124i
$645$	−13.6413	+	15.4854i	−0.537127	+	0.609737i
$646$	0.191224	−	0.588527i	0.00752360	−	0.0231553i
$647$	39.9334	+	12.9751i	1.56994	+	0.510106i	0.959441	−	0.281909i	$-0.0909676\pi$
$647$	39.9334	+	12.9751i	1.56994	+	0.510106i	0.610502	+	0.792015i	$0.290968\pi$
$648$	9.19573	+	12.6568i	0.361242	+	0.497207i
$649$	−4.21153			−0.165317
$650$	−16.4226	−	17.4607i	−0.644148	−	0.684863i
$651$	9.36202			0.366927
$652$	6.67535	+	9.18782i	0.261427	+	0.359823i
$653$	−33.1855	−	10.7826i	−1.29865	−	0.421957i	−0.423539	−	0.905878i	$-0.639212\pi$
$653$	−33.1855	−	10.7826i	−1.29865	−	0.421957i	−0.875112	+	0.483921i	$0.839212\pi$
$654$	−17.8961	+	55.0784i	−0.699792	+	2.15374i
$655$	0.186552	−	1.98186i	0.00728917	−	0.0774378i
$656$	−1.11897	−	3.44385i	−0.0436886	−	0.134460i
$657$			46.4447i			1.81198i
$658$	4.25983	−	1.38410i	0.166065	−	0.0539579i
$659$	7.43375	+	5.40093i	0.289578	+	0.210391i	0.723084	−	0.690760i	$-0.242724\pi$
$659$	7.43375	+	5.40093i	0.289578	+	0.210391i	−0.433506	+	0.901150i	$0.642724\pi$
$660$	9.51085	−	22.0021i	0.370209	−	0.856431i
$661$	−14.0226	+	10.1880i	−0.545416	+	0.396268i	−0.826092	−	0.563535i	$-0.809441\pi$
$661$	−14.0226	+	10.1880i	−0.545416	+	0.396268i	0.280677	+	0.959802i	$0.409441\pi$
$662$	−18.6340	+	25.6475i	−0.724230	+	0.996817i
$663$	−5.42694	+	7.46954i	−0.210765	+	0.290093i
$664$	−11.5065	+	8.35997i	−0.446539	+	0.324430i
$665$	−1.39403	−	0.131219i	−0.0540582	−	0.00508846i
$666$	−18.3225	−	13.3121i	−0.709984	−	0.515833i
$667$	−33.8558	+	11.0004i	−1.31090	+	0.425937i
$668$			12.5826i			0.486835i
$669$	27.1234	+	83.4772i	1.04865	+	3.22742i
$670$	3.89371	+	6.57796i	0.150427	+	0.254129i
$671$	14.2413	−	43.8301i	0.549778	−	1.69204i
$672$	−1.85345	−	0.602223i	−0.0714985	−	0.0232313i
$673$	−16.0486	−	22.0890i	−0.618627	−	0.851468i	0.378625	−	0.925550i	$-0.376397\pi$
$673$	−16.0486	−	22.0890i	−0.618627	−	0.851468i	−0.997252	+	0.0740826i	$0.976397\pi$
$674$	9.49695			0.365809
$675$	−10.7034	+	56.3512i	−0.411975	+	2.16896i
$676$	9.98307			0.383964
$677$	−11.5348	−	15.8762i	−0.443317	−	0.610173i	0.527628	−	0.849475i	$-0.323081\pi$
$677$	−11.5348	−	15.8762i	−0.443317	−	0.610173i	−0.970945	+	0.239302i	$0.923081\pi$
$678$	−37.2296	−	12.0966i	−1.42980	−	0.464569i
$679$	0.268582	−	0.826612i	0.0103072	−	0.0317224i
$680$	1.35027	−	0.302380i	0.0517803	−	0.0115958i
$681$	−7.78253	−	23.9522i	−0.298227	−	0.917849i
$682$			16.5463i			0.633590i
$683$	−22.4862	+	7.30622i	−0.860412	+	0.279565i	−0.705801	−	0.708410i	$-0.749413\pi$
$683$	−22.4862	+	7.30622i	−0.860412	+	0.279565i	−0.154612	+	0.987975i	$0.549413\pi$
$684$	5.40910	+	3.92994i	0.206822	+	0.150265i
$685$	−11.3631	+	6.72616i	−0.434161	+	0.256993i
$686$	6.89368	−	5.00855i	0.263202	−	0.191227i
$687$	9.37035	−	12.8972i	0.357501	−	0.492058i
$688$	−1.74304	+	2.39909i	−0.0664527	+	0.0914643i
$689$	−45.2830	+	32.9000i	−1.72514	+	1.25339i
$690$	−28.8682	+	17.0880i	−1.09899	+	0.650528i
$691$	27.8305	+	20.2200i	1.05872	+	0.769206i	0.973851	−	0.227186i	$-0.0729524\pi$
$691$	27.8305	+	20.2200i	1.05872	+	0.769206i	0.0848703	+	0.996392i	$0.472952\pi$
$692$	13.3931	−	4.35168i	0.509129	−	0.165426i
$693$			14.4203i			0.547784i
$694$	0.0257445	+	0.0792334i	0.000977248	+	0.00300766i
$695$	40.5060	−	9.07096i	1.53648	−	0.344081i
$696$	−7.10217	+	21.8582i	−0.269207	+	0.828534i
$697$	−2.13110	−	0.692437i	−0.0807212	−	0.0262279i
$698$	6.26783	+	8.62692i	0.237241	+	0.326534i
$699$	83.3526			3.15269
$700$	−1.33532	−	2.83189i	−0.0504704	−	0.107035i
$701$	4.38886			0.165765			0.0828824	−	0.996559i	$-0.473587\pi$
$701$	4.38886			0.165765			0.0828824	+	0.996559i	$0.473587\pi$
$702$	−32.3260	−	44.4929i	−1.22007	−	1.67928i
$703$	−3.22157	−	1.04675i	−0.121504	−	0.0394789i
$704$	1.06436	−	3.27576i	0.0401146	−	0.123460i
$705$	−25.3562	−	42.8363i	−0.954968	−	1.61331i
$706$	−2.31123	−	7.11323i	−0.0869843	−	0.267710i
$707$		−	9.78683i		−	0.368072i
$708$	3.61920	−	1.17595i	0.136018	−	0.0441949i
$709$	40.2166	+	29.2191i	1.51037	+	1.09735i	0.966014	+	0.258488i	$0.0832244\pi$
$709$	40.2166	+	29.2191i	1.51037	+	1.09735i	0.544352	+	0.838857i	$0.316776\pi$
$710$	−4.92472	−	0.463560i	−0.184821	−	0.0173971i
$711$	−39.4768	+	28.6816i	−1.48049	+	1.07564i
$712$	0.139757	−	0.192359i	0.00523761	−	0.00720896i
$713$	13.6114	−	18.7345i	0.509751	−	0.701613i
$714$	−0.975647	+	0.708849i	−0.0365127	+	0.0265280i
$715$	−14.6504	+	33.8919i	−0.547895	+	1.26748i
$716$	−20.0293	−	14.5521i	−0.748529	−	0.543838i
$717$	−22.1747	+	7.20500i	−0.828130	+	0.269076i
$718$		−	3.70572i		−	0.138296i
$719$	8.88916	+	27.3580i	0.331510	+	1.02028i	0.968416	+	0.249341i	$0.0802140\pi$
$719$	8.88916	+	27.3580i	0.331510	+	1.02028i	−0.636906	+	0.770942i	$0.719786\pi$
$720$	−1.40108	+	14.8846i	−0.0522150	+	0.554716i
$721$	3.10245	−	9.54837i	0.115541	−	0.355600i
$722$	0.951057	+	0.309017i	0.0353947	+	0.0115004i
$723$	−20.4161	−	28.1003i	−0.759283	−	1.04506i
$724$	−2.87094			−0.106698
$725$	−33.3972	+	15.7478i	−1.24034	+	0.584857i
$726$	−2.68735			−0.0997368
$727$	7.81848	+	10.7612i	0.289971	+	0.399111i	0.929005	−	0.370068i	$-0.120666\pi$
$727$	7.81848	+	10.7612i	0.289971	+	0.399111i	−0.639034	+	0.769179i	$0.720666\pi$
$728$	2.85505	+	0.927660i	0.105815	+	0.0343814i
$729$	0.774870	−	2.38481i	0.0286989	−	0.0883261i
$730$	−10.2675	+	11.6555i	−0.380018	+	0.431389i
$731$	0.567062	+	1.74524i	0.0209735	+	0.0645499i
$732$			41.6421i			1.53914i
$733$	34.4992	−	11.2095i	1.27426	−	0.414031i	0.407702	−	0.913115i	$-0.366330\pi$
$733$	34.4992	−	11.2095i	1.27426	−	0.414031i	0.866554	+	0.499084i	$0.166330\pi$
$734$	−8.44461	−	6.13537i	−0.311696	−	0.226460i
$735$	−34.5062	−	30.3971i	−1.27278	−	1.12121i
$736$	−3.89985	+	2.83341i	−0.143750	+	0.104441i
$737$	6.92085	−	9.52574i	0.254933	−	0.350885i
$738$	14.2306	−	19.5868i	0.523836	−	0.720999i
$739$	15.3328	−	11.1399i	0.564026	−	0.409789i	−0.268904	−	0.963167i	$-0.586661\pi$
$739$	15.3328	−	11.1399i	0.564026	−	0.409789i	0.832930	+	0.553378i	$0.186661\pi$
$740$	−1.65521	−	7.39129i	−0.0608469	−	0.271709i
$741$	−12.0707	−	8.76991i	−0.443430	−	0.322171i
$742$	−6.95316	+	2.25922i	−0.255259	+	0.0829386i
$743$		−	26.7509i		−	0.981397i	−0.871329	−	0.490699i	$-0.836742\pi$
$743$		−	26.7509i		−	0.981397i	0.871329	−	0.490699i	$-0.163258\pi$
$744$	−4.62008	−	14.2191i	−0.169380	−	0.521299i
$745$	43.8498	+	18.9549i	1.60653	+	0.694456i
$746$	2.80232	−	8.62465i	0.102600	−	0.315771i
$747$	−90.4397	−	29.3857i	−3.30902	−	1.07516i
$748$	−1.25281	−	1.72434i	−0.0458072	−	0.0630482i
$749$	−10.8083			−0.394925
$750$	−27.4688	+	21.3592i	−1.00302	+	0.779927i
$751$	36.0920			1.31702			0.658508	−	0.752574i	$-0.271188\pi$
$751$	36.0920			1.31702			0.658508	+	0.752574i	$0.271188\pi$
$752$	−4.20438	−	5.78683i	−0.153318	−	0.211024i
$753$	3.74976	+	1.21837i	0.136649	+	0.0443999i
$754$	10.9401	−	33.6703i	0.398416	−	1.22620i
$755$	10.3282	+	4.46456i	0.375881	+	0.162482i
$756$	−2.21980	−	6.83185i	−0.0807334	−	0.248472i
$757$		−	12.4786i		−	0.453542i	−0.973948	−	0.226771i	$-0.927183\pi$
$757$		−	12.4786i		−	0.453542i	0.973948	−	0.226771i	$-0.0728169\pi$
$758$	19.6710	−	6.39149i	0.714482	−	0.232149i
$759$	41.8048	+	30.3730i	1.51742	+	1.10247i
$760$	0.488645	+	2.18202i	0.0177250	+	0.0791503i
$761$	−5.18914	+	3.77013i	−0.188106	+	0.136667i	−0.677853	−	0.735198i	$-0.737089\pi$
$761$	−5.18914	+	3.77013i	−0.188106	+	0.136667i	0.489747	+	0.871865i	$0.337089\pi$
$762$	−7.26263	+	9.99616i	−0.263097	+	0.362123i
$763$	6.84895	−	9.42677i	0.247949	−	0.341272i
$764$	19.8118	−	14.3941i	0.716764	−	0.520760i
$765$	6.94206	+	6.11538i	0.250991	+	0.221102i
$766$	−0.860804	−	0.625411i	−0.0311021	−	0.0225970i
$767$	−5.57499	+	1.81143i	−0.201301	+	0.0654068i
$768$			3.11224i			0.112303i
$769$	6.86953	+	21.1422i	0.247722	+	0.762409i	0.995177	+	0.0980966i	$0.0312754\pi$
$769$	6.86953	+	21.1422i	0.247722	+	0.762409i	−0.747455	+	0.664312i	$0.768725\pi$
$770$	−3.18790	+	3.61885i	−0.114884	+	0.130414i
$771$	−4.67064	+	14.3748i	−0.168209	+	0.517694i
$772$	−8.04384	−	2.61360i	−0.289504	−	0.0940656i
$773$	16.8459	+	23.1864i	0.605906	+	0.833958i	0.996233	−	0.0867185i	$-0.0276381\pi$
$773$	16.8459	+	23.1864i	0.605906	+	0.833958i	−0.390327	+	0.920676i	$0.627638\pi$
$774$	−19.8269			−0.712664
$775$	11.5549	−	21.0576i	0.415063	−	0.756412i
$776$	−1.38801			−0.0498266
$777$	3.88020	+	5.34064i	0.139202	+	0.191595i
$778$	33.2526	+	10.8044i	1.19216	+	0.387357i
$779$	1.11897	−	3.44385i	0.0400914	−	0.123389i
$780$	3.12659	−	33.2159i	0.111950	−	1.18932i
$781$	2.35451	+	7.24643i	0.0842509	+	0.259298i
$782$			2.98298i			0.106671i
$783$	−80.5697	+	26.1787i	−2.87932	+	0.935549i
$784$	−5.34590	−	3.88402i	−0.190925	−	0.138715i
$785$	4.02708	−	9.31612i	0.143733	−	0.332507i
$786$	2.24148	−	1.62853i	0.0799509	−	0.0580877i
$787$	8.83511	−	12.1605i	0.314938	−	0.433475i	−0.621975	−	0.783037i	$-0.713670\pi$
$787$	8.83511	−	12.1605i	0.314938	−	0.433475i	0.936913	+	0.349562i	$0.113670\pi$
$788$	6.10684	−	8.40534i	0.217547	−	0.299428i
$789$	18.1518	−	13.1881i	0.646222	−	0.469508i
$790$	−16.2475	−	1.52937i	−0.578060	−	0.0544124i
$791$	6.37192	+	4.62947i	0.226559	+	0.164605i
$792$	21.9018	−	7.11632i	0.778246	−	0.252867i
$793$		−	64.1452i		−	2.27786i
$794$	−0.684952	−	2.10807i	−0.0243080	−	0.0748125i
$795$	41.3880	+	69.9202i	1.46788	+	2.47981i
$796$	−3.49366	+	10.7524i	−0.123830	+	0.381108i
$797$	7.97213	+	2.59030i	0.282387	+	0.0917532i	0.446786	−	0.894641i	$-0.352568\pi$
$797$	7.97213	+	2.59030i	0.282387	+	0.0917532i	−0.164399	+	0.986394i	$0.552568\pi$
$798$	−1.14550	−	1.57664i	−0.0405501	−	0.0558125i
$799$	−4.42632			−0.156592
$800$	−3.64214	+	3.42561i	−0.128769	+	0.121114i
$801$	1.58972			0.0561702
$802$	−14.2739	−	19.6463i	−0.504029	−	0.693737i
$803$	22.7552	+	7.39363i	0.803015	+	0.260915i
$804$	−3.28768	+	10.1184i	−0.115948	+	0.356850i
$805$	6.58646	−	1.47498i	0.232142	−	0.0519862i
$806$	7.11674	+	21.9031i	0.250676	+	0.771503i
$807$			56.2044i			1.97849i
$808$	−14.8643	+	4.82972i	−0.522926	+	0.169909i
$809$	−40.7102	−	29.5777i	−1.43129	−	1.03990i	−0.989774	−	0.142644i	$-0.954439\pi$
$809$	−40.7102	−	29.5777i	−1.43129	−	1.03990i	−0.441520	−	0.897252i	$-0.645561\pi$
$810$	−30.1040	+	17.8195i	−1.05775	+	0.626113i
$811$	−29.9338	+	21.7482i	−1.05112	+	0.763681i	−0.972425	−	0.233218i	$-0.925075\pi$
$811$	−29.9338	+	21.7482i	−1.05112	+	0.763681i	−0.0786927	+	0.996899i	$0.525075\pi$
$812$	2.71805	−	3.74108i	0.0953849	−	0.131286i
$813$	24.1303	−	33.2126i	0.846288	−	1.16482i
$814$	−9.43897	+	6.85781i	−0.330836	+	0.240366i
$815$	−21.8530	+	12.9355i	−0.765478	+	0.453111i
$816$	1.55808	+	1.13201i	0.0545437	+	0.0396283i
$817$	−2.82029	+	0.916369i	−0.0986696	+	0.0320597i
$818$			13.5923i			0.475243i
$819$	6.20235	+	19.0889i	0.216728	+	0.667019i
$820$	7.90128	−	1.76942i	0.275925	−	0.0617909i
$821$	13.8016	−	42.4768i	0.481678	−	1.48245i	−0.355058	−	0.934844i	$-0.615539\pi$
$821$	13.8016	−	42.4768i	0.481678	−	1.48245i	0.836736	−	0.547607i	$-0.184461\pi$
$822$	−17.4791	−	5.67929i	−0.609652	−	0.198088i
$823$	27.0885	+	37.2841i	0.944244	+	1.29964i	0.954037	+	0.299688i	$0.0968827\pi$
$823$	27.0885	+	37.2841i	0.944244	+	1.29964i	−0.00979310	+	0.999952i	$0.503117\pi$
$824$	−16.0332			−0.558543
$825$	46.9887	+	25.7839i	1.63594	+	0.897681i
$826$	−0.765661			−0.0266408
$827$	−11.0201	−	15.1679i	−0.383206	−	0.527438i	0.573224	−	0.819399i	$-0.305692\pi$
$827$	−11.0201	−	15.1679i	−0.383206	−	0.527438i	−0.956430	+	0.291961i	$0.905692\pi$
$828$	−30.6523	−	9.95954i	−1.06524	−	0.346118i
$829$	−7.25632	+	22.3327i	−0.252023	+	0.775646i	0.742379	+	0.669980i	$0.233697\pi$
$829$	−7.25632	+	22.3327i	−0.252023	+	0.775646i	−0.994402	+	0.105666i	$0.966303\pi$
$830$	−16.2000	−	27.3680i	−0.562309	−	0.949956i
$831$	−9.61462	−	29.5908i	−0.333527	−	1.02649i
$832$		−	4.79407i		−	0.166204i
$833$	−3.88892	+	1.26359i	−0.134743	+	0.0437807i
$834$	46.7401	+	33.9587i	1.61848	+	1.17589i
$835$	−28.0117	−	2.63672i	−0.969384	−	0.0912475i
$836$	2.78653	−	2.02453i	0.0963741	−	0.0700199i
$837$	32.3923	−	44.5842i	1.11964	−	1.54106i
$838$	−18.8685	+	25.9702i	−0.651800	+	0.897126i
$839$	−13.4726	+	9.78839i	−0.465125	+	0.337933i	−0.795538	−	0.605903i	$-0.792812\pi$
$839$	−13.4726	+	9.78839i	−0.465125	+	0.337933i	0.330414	+	0.943836i	$0.392812\pi$
$840$	1.72908	−	4.00001i	0.0596590	−	0.138013i
$841$	−20.6579	−	15.0089i	−0.712343	−	0.517547i
$842$	35.4300	−	11.5119i	1.22100	−	0.396727i
$843$			4.05704i			0.139732i
$844$	−5.13022	−	15.7892i	−0.176589	−	0.543486i
$845$	−2.09198	+	22.2246i	−0.0719665	+	0.764549i
$846$	14.7786	−	45.4838i	0.508098	−	1.56376i
$847$	0.514233	+	0.167085i	0.0176693	+	0.00574109i
$848$	6.86265	+	9.44563i	0.235665	+	0.324364i
$849$	35.9415			1.23351
$850$	0.390214	+	3.06936i	0.0133842	+	0.105278i
$851$	16.3287			0.559740
$852$	−4.04672	−	5.56983i	−0.138638	−	0.190819i
$853$	−45.8713	−	14.9045i	−1.57060	−	0.510320i	−0.610988	−	0.791640i	$-0.709228\pi$
$853$	−45.8713	−	14.9045i	−1.57060	−	0.510320i	−0.959614	+	0.281320i	$0.909228\pi$
$854$	2.58908	−	7.96837i	0.0885965	−	0.272672i
$855$	−9.88243	+	11.2183i	−0.337972	+	0.383659i
$856$	5.33378	+	16.4157i	0.182305	+	0.561077i
$857$			40.3717i			1.37907i	0.724252	+	0.689535i	$0.242185\pi$
$857$			40.3717i			1.37907i	−0.724252	+	0.689535i	$0.757815\pi$
$858$	−48.8752	+	15.8805i	−1.66857	+	0.542152i
$859$	10.5635	+	7.67482i	0.360421	+	0.261861i	0.753228	−	0.657760i	$-0.228496\pi$
$859$	10.5635	+	7.67482i	0.360421	+	0.261861i	−0.392807	+	0.919621i	$0.628496\pi$
$860$	−4.97565	−	4.38313i	−0.169668	−	0.149464i
$861$	−5.70914	+	4.14793i	−0.194567	+	0.141361i
$862$	16.6672	−	22.9405i	0.567688	−	0.781355i
$863$	−23.9538	+	32.9696i	−0.815398	+	1.12230i	0.175070	+	0.984556i	$0.443985\pi$
$863$	−23.9538	+	32.9696i	−0.815398	+	1.12230i	−0.990468	+	0.137743i	$0.956015\pi$
$864$	−9.28083	+	6.74292i	−0.315740	+	0.229399i
$865$	6.88126	+	30.7279i	0.233970	+	1.04478i
$866$	−13.6500	−	9.91731i	−0.463846	−	0.337004i
$867$	−49.1851	+	15.9812i	−1.67041	+	0.542750i
$868$			3.00813i			0.102103i
$869$	7.76793	+	23.9072i	0.263509	+	0.810997i
$870$	−47.1731	−	20.3915i	−1.59932	−	0.691337i
$871$	5.06432	−	15.5864i	0.171598	−	0.528124i
$872$	−17.6974	−	5.75023i	−0.599309	−	0.194727i
$873$	−5.45479	−	7.50788i	−0.184617	−	0.254103i
$874$	−4.82048			−0.163055
$875$	6.58426	−	2.37929i	0.222588	−	0.0804348i
$876$	−21.6193			−0.730448
$877$	−8.97242	−	12.3495i	−0.302977	−	0.417012i	0.630198	−	0.776435i	$-0.282974\pi$
$877$	−8.97242	−	12.3495i	−0.302977	−	0.417012i	−0.933175	+	0.359422i	$0.882974\pi$
$878$	−27.8921	−	9.06269i	−0.941312	−	0.305851i
$879$	−17.0218	+	52.3877i	−0.574131	+	1.76699i
$880$	7.06955	+	3.05595i	0.238314	+	0.103016i
$881$	−2.46405	−	7.58358i	−0.0830161	−	0.255497i	0.900930	−	0.433965i	$-0.142886\pi$
$881$	−2.46405	−	7.58358i	−0.0830161	−	0.255497i	−0.983946	+	0.178468i	$0.942886\pi$
$882$		−	44.1804i		−	1.48763i
$883$	45.2061	−	14.6884i	1.52131	−	0.494302i	0.575160	−	0.818041i	$-0.304940\pi$
$883$	45.2061	−	14.6884i	1.52131	−	0.494302i	0.946146	+	0.323739i	$0.104940\pi$
$884$	−2.40006	−	1.74374i	−0.0807226	−	0.0586484i
$885$	1.85952	+	8.30359i	0.0625070	+	0.279122i
$886$	8.38495	−	6.09202i	0.281698	−	0.204665i
$887$	15.9336	−	21.9307i	0.534998	−	0.736362i	−0.452883	−	0.891570i	$-0.649605\pi$
$887$	15.9336	−	21.9307i	0.534998	−	0.736362i	0.987882	+	0.155208i	$0.0496046\pi$
$888$	6.19658	−	8.52886i	0.207944	−	0.286210i
$889$	2.01124	−	1.46125i	0.0674547	−	0.0490087i
$890$	0.398948	+	0.351440i	0.0133728	+	0.0117803i
$891$	43.5944	+	31.6732i	1.46047	+	1.06109i
$892$	−26.8223	+	8.71508i	−0.898076	+	0.291803i
$893$		−	7.15291i		−	0.239363i
$894$	20.5464	+	63.2355i	0.687176	+	2.11491i
$895$	36.5935	−	41.5403i	1.22319	−	1.38854i
$896$	0.193502	−	0.595537i	0.00646444	−	0.0198955i
$897$	68.4026	+	22.2254i	2.28390	+	0.742083i
$898$	10.2996	+	14.1762i	0.343702	+	0.473065i
$899$	35.4757			1.18318
$900$	−32.8429	−	6.23822i	−1.09476	−	0.207941i
$901$	7.22492			0.240697
$902$	−7.33099	−	10.0902i	−0.244095	−	0.335968i
$903$	5.49629	+	1.78585i	0.182905	+	0.0594294i
$904$	3.88680	−	11.9623i	0.129273	−	0.397862i
$905$	0.601614	−	6.39136i	0.0199983	−	0.212456i
$906$	4.83941	+	14.8942i	0.160779	+	0.494826i
$907$			18.9233i			0.628337i	0.949367	+	0.314169i	$0.101726\pi$
$907$			18.9233i			0.628337i	−0.949367	+	0.314169i	$0.898274\pi$
$908$	7.69613	−	2.50062i	0.255405	−	0.0829862i
$909$	−84.5404	−	61.4222i	−2.80403	−	2.03725i
$910$	−2.66347	+	6.16159i	−0.0882931	+	0.204255i
$911$	23.1354	−	16.8088i	0.766508	−	0.556901i	−0.134391	−	0.990928i	$-0.542908\pi$
$911$	23.1354	−	16.8088i	0.766508	−	0.556901i	0.900900	+	0.434027i	$0.142908\pi$
$912$	−1.82933	+	2.51785i	−0.0605750	+	0.0833744i
$913$	−28.7946	+	39.6323i	−0.952961	+	1.31164i
$914$	12.4933	−	9.07694i	0.413243	−	0.300238i
$915$	−92.7048	−	8.72624i	−3.06473	−	0.288481i
$916$	4.14402	+	3.01081i	0.136922	+	0.0994800i
$917$	−0.530168	+	0.172262i	−0.0175077	+	0.00568859i
$918$			7.09887i			0.234297i
$919$	10.0346	+	30.8832i	0.331010	+	1.01874i	0.968654	+	0.248413i	$0.0799090\pi$
$919$	10.0346	+	30.8832i	0.331010	+	1.01874i	−0.637644	+	0.770331i	$0.720091\pi$
$920$	−5.49058	−	9.27570i	−0.181019	−	0.305811i
$921$	17.9963	−	55.3870i	0.592999	−	1.82506i
$922$	33.2690	+	10.8097i	1.09565	+	0.356000i
$923$	6.23353	+	8.57972i	0.205179	+	0.282405i
$924$	−6.71245			−0.220823
$925$	16.8015	−	2.13601i	0.552431	−	0.0702317i
$926$	−20.2101			−0.664147
$927$	−63.0095	−	86.7251i	−2.06950	−	2.84843i
$928$	−7.02332	−	2.28201i	−0.230552	−	0.0749108i
$929$	4.29112	−	13.2067i	0.140787	−	0.433298i	−0.855658	−	0.517541i	$-0.826847\pi$
$929$	4.29112	−	13.2067i	0.140787	−	0.433298i	0.996445	+	0.0842436i	$0.0268474\pi$
$930$	32.6232	−	7.30568i	1.06976	−	0.239563i
$931$	−2.04195	−	6.28448i	−0.0669222	−	0.205965i
$932$			26.7822i			0.877281i
$933$	17.0744	−	5.54781i	0.558990	−	0.181627i
$934$	23.8361	+	17.3180i	0.779942	+	0.566661i
$935$	4.10131	−	2.42769i	0.134127	−	0.0793941i
$936$	25.9316	−	18.8404i	0.847600	−	0.615817i
$937$	5.21614	−	7.17939i	0.170404	−	0.234541i	−0.715271	−	0.698848i	$-0.753697\pi$
$937$	5.21614	−	7.17939i	0.170404	−	0.234541i	0.885674	+	0.464307i	$0.153697\pi$
$938$	1.25822	−	1.73179i	0.0410823	−	0.0565450i
$939$	−4.99393	+	3.62830i	−0.162971	+	0.118405i
$940$	13.7638	−	8.14725i	0.448927	−	0.265734i
$941$	41.3709	+	30.0577i	1.34865	+	0.979854i	0.999077	+	0.0429453i	$0.0136741\pi$
$941$	41.3709	+	30.0577i	1.34865	+	0.979854i	0.349575	+	0.936908i	$0.386326\pi$
$942$	13.4347	−	4.36520i	0.437727	−	0.142226i
$943$			17.4553i			0.568424i
$944$	0.377847	+	1.16289i	0.0122979	+	0.0378490i
$945$	15.6744	−	3.51015i	0.509889	−	0.114185i
$946$	−3.15629	+	9.71405i	−0.102620	+	0.315831i
$947$	24.7933	+	8.05584i	0.805675	+	0.261780i	0.682765	−	0.730638i	$-0.260777\pi$
$947$	24.7933	+	8.05584i	0.805675	+	0.261780i	0.122910	+	0.992418i	$0.460777\pi$
$948$	−13.3508	−	18.3758i	−0.433615	−	0.596819i
$949$	33.3022			1.08104
$950$	−4.96008	+	0.630585i	−0.160926	+	0.0204589i
$951$	64.4900			2.09123
$952$	−0.227762	−	0.313487i	−0.00738181	−	0.0101602i
$953$	−16.1188	−	5.23730i	−0.522138	−	0.169653i	0.0360774	−	0.999349i	$-0.488514\pi$
$953$	−16.1188	−	5.23730i	−0.522138	−	0.169653i	−0.558215	+	0.829696i	$0.688514\pi$
$954$	−24.1225	+	74.2415i	−0.780996	+	2.40366i
$955$	27.8929	+	47.1218i	0.902592	+	1.52483i
$956$	−2.31506	−	7.12501i	−0.0748742	−	0.230439i
$957$			79.1616i			2.55893i
$958$	−0.0474966	+	0.0154326i	−0.00153455	+	0.000498604i
$959$	2.99157	+	2.17351i	0.0966029	+	0.0701861i
$960$	−6.92854	−	0.652179i	−0.223618	−	0.0210490i
$961$	6.40942	−	4.65672i	0.206756	−	0.150217i
$962$	−9.54517	+	13.1378i	−0.307749	+	0.423579i
$963$	−67.8326	+	93.3636i	−2.18588	+	3.00860i
$964$	9.02899	−	6.55995i	0.290804	−	0.211282i
$965$	7.50408	−	17.3597i	0.241565	−	0.558829i
$966$	7.60016	+	5.52184i	0.244531	+	0.177662i
$967$	−7.62381	+	2.47713i	−0.245165	+	0.0796590i	−0.429022	−	0.903294i	$-0.641142\pi$
$967$	−7.62381	+	2.47713i	−0.245165	+	0.0796590i	0.183857	+	0.982953i	$0.441142\pi$
$968$		−	0.863478i		−	0.0277532i
$969$	0.595134	+	1.83163i	0.0191185	+	0.0588406i
$970$	0.290862	−	3.09003i	0.00933902	−	0.0992147i
$971$	12.7072	−	39.1086i	0.407792	−	1.25505i	−0.510749	−	0.859730i	$-0.670632\pi$
$971$	12.7072	−	39.1086i	0.407792	−	1.25505i	0.918541	−	0.395325i	$-0.129368\pi$
$972$	−13.5762	−	4.41116i	−0.435455	−	0.141488i
$973$	−6.83252	−	9.40416i	−0.219041	−	0.301484i
$974$	−21.3501			−0.684102
$975$	73.2909	+	13.9210i	2.34719	+	0.445829i
$976$	−13.3801			−0.428288
$977$	9.91484	+	13.6466i	0.317204	+	0.436594i	0.937611	−	0.347686i	$-0.113033\pi$
$977$	9.91484	+	13.6466i	0.317204	+	0.436594i	−0.620407	+	0.784280i	$0.713033\pi$
$978$	−33.6151	−	10.9222i	−1.07489	−	0.349253i
$979$	0.253071	−	0.778874i	0.00808820	−	0.0248929i
$980$	9.76696	−	11.0873i	0.311994	−	0.354170i
$981$	−38.4461	−	118.325i	−1.22749	−	3.77782i
$982$		−	22.4372i		−	0.716000i
$983$	−35.6472	+	11.5825i	−1.13697	+	0.369424i	−0.816221	−	0.577740i	$-0.803935\pi$
$983$	−35.6472	+	11.5825i	−1.13697	+	0.369424i	−0.320749	+	0.947164i	$0.603935\pi$
$984$	9.11734	+	6.62413i	0.290650	+	0.211170i
$985$	17.4325	+	15.3566i	0.555445	+	0.489301i
$986$	−3.69704	+	2.68605i	−0.117738	+	0.0855414i
$987$	−8.19364	+	11.2776i	−0.260806	+	0.358969i
$988$	2.81788	−	3.87848i	0.0896487	−	0.123391i
$989$	11.5647	−	8.40227i	0.367737	−	0.267177i
$990$	11.2530	+	50.2496i	0.357642	+	1.59704i
$991$	−18.8328	−	13.6829i	−0.598245	−	0.434650i	0.247011	−	0.969013i	$-0.420552\pi$
$991$	−18.8328	−	13.6829i	−0.598245	−	0.434650i	−0.845255	+	0.534363i	$0.820552\pi$
$992$	4.56879	−	1.48449i	0.145059	−	0.0471326i
$993$		−	98.6641i		−	3.13101i
$994$	0.428052	+	1.31741i	0.0135770	+	0.0417857i
$995$	−23.2052	−	10.0309i	−0.735653	−	0.318000i
$996$	13.6786	−	42.0983i	0.433422	−	1.33394i
$997$	−21.4280	−	6.96239i	−0.678633	−	0.220501i	−0.0506360	−	0.998717i	$-0.516125\pi$
$997$	−21.4280	−	6.96239i	−0.678633	−	0.220501i	−0.627997	+	0.778216i	$0.716125\pi$
$998$	−16.7309	−	23.0281i	−0.529608	−	0.728943i
$999$	38.8588			1.22944

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.b.39.12	✓	96
25.9	even	10	inner	950.2.n.b.609.12	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.b.39.12	✓	96	1.1	even	1	trivial
950.2.n.b.609.12	yes	96	25.9	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.n (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.587785 - 0.809017i) q^{2} +(2.95991 + 0.961734i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-2.05251 - 0.887239i) q^{5} +(-0.961734 - 2.95991i) q^{6} +0.626185i q^{7} +(0.951057 - 0.309017i) q^{8} +(5.40910 + 3.92994i) q^{9} +O(q^{10})\)	\(q+(-0.587785 - 0.809017i) q^{2} +(2.95991 + 0.961734i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(-2.05251 - 0.887239i) q^{5} +(-0.961734 - 2.95991i) q^{6} +0.626185i q^{7} +(0.951057 - 0.309017i) q^{8} +(5.40910 + 3.92994i) q^{9} +(0.488645 + 2.18202i) q^{10} +(2.78653 - 2.02453i) q^{11} +(-1.82933 + 2.51785i) q^{12} +(2.81788 - 3.87848i) q^{13} +(0.506594 - 0.368062i) q^{14} +(-5.22197 - 4.60012i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-0.588527 + 0.191224i) q^{17} -6.68601i q^{18} +(-0.309017 - 0.951057i) q^{19} +(1.47808 - 1.67788i) q^{20} +(-0.602223 + 1.85345i) q^{21} +(-3.27576 - 1.06436i) q^{22} +(2.83341 + 3.89985i) q^{23} +3.11224 q^{24} +(3.42561 + 3.64214i) q^{25} -4.79407 q^{26} +(6.74292 + 9.28083i) q^{27} +(-0.595537 - 0.193502i) q^{28} +(-2.28201 + 7.02332i) q^{29} +(-0.652179 + 6.92854i) q^{30} +(-1.48449 - 4.56879i) q^{31} +1.00000i q^{32} +(10.1949 - 3.31254i) q^{33} +(0.500631 + 0.363730i) q^{34} +(0.555576 - 1.28525i) q^{35} +(-5.40910 + 3.92994i) q^{36} +(1.99104 - 2.74043i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(12.0707 - 8.76991i) q^{39} +(-2.22623 - 0.209553i) q^{40} +(2.92951 + 2.12842i) q^{41} +(1.85345 - 0.602223i) q^{42} -2.96543i q^{43} +(1.06436 + 3.27576i) q^{44} +(-7.61544 - 12.8654i) q^{45} +(1.48961 - 4.58455i) q^{46} +(6.80282 + 2.21037i) q^{47} +(-1.82933 - 2.51785i) q^{48} +6.60789 q^{49} +(0.933026 - 4.91217i) q^{50} -1.92589 q^{51} +(2.81788 + 3.87848i) q^{52} +(-11.1040 - 3.60791i) q^{53} +(3.54496 - 10.9103i) q^{54} +(-7.51563 + 1.68306i) q^{55} +(0.193502 + 0.595537i) q^{56} -3.11224i q^{57} +(7.02332 - 2.28201i) q^{58} +(-0.989217 - 0.718708i) q^{59} +(5.98865 - 3.54487i) q^{60} +(10.8248 - 7.86464i) q^{61} +(-2.82367 + 3.88644i) q^{62} +(-2.46087 + 3.38710i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-9.22488 + 5.46050i) q^{65} +(-8.67234 - 6.30082i) q^{66} +(3.25118 - 1.05637i) q^{67} -0.618814i q^{68} +(4.63602 + 14.2682i) q^{69} +(-1.36635 + 0.305982i) q^{70} +(-0.683587 + 2.10387i) q^{71} +(6.35877 + 2.06609i) q^{72} +(4.08308 + 5.61988i) q^{73} -3.38736 q^{74} +(6.63675 + 14.0749i) q^{75} +1.00000 q^{76} +(1.26773 + 1.74488i) q^{77} +(-14.1900 - 4.61061i) q^{78} +(-2.25527 + 6.94102i) q^{79} +(1.13901 + 1.92423i) q^{80} +(4.83448 + 14.8790i) q^{81} -3.62108i q^{82} +(-13.5267 + 4.39510i) q^{83} +(-1.57664 - 1.14550i) q^{84} +(1.37762 + 0.129674i) q^{85} +(-2.39909 + 1.74304i) q^{86} +(-13.5091 + 18.5937i) q^{87} +(2.02453 - 2.78653i) q^{88} +(0.192359 - 0.139757i) q^{89} +(-5.93209 + 13.7231i) q^{90} +(2.42865 + 1.76452i) q^{91} +(-4.58455 + 1.48961i) q^{92} -14.9509i q^{93} +(-2.21037 - 6.80282i) q^{94} +(-0.209553 + 2.22623i) q^{95} +(-0.961734 + 2.95991i) q^{96} +(-1.32008 - 0.428919i) q^{97} +(-3.88402 - 5.34590i) q^{98} +23.0289 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

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