LMFDB - Embedded newform 280.2.bl.b.221.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(221,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 0, 4]))

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

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

chi := DirichletCharacter("280.221");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.bl (of order $6$, degree $2$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$60$
Relative dimension:	$30$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			221.5
Character	$\chi$	$=$	280.221
Dual form			280.2.bl.b.261.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.11578 + 0.868928i) q^{2} +(0.501254 + 0.289399i) q^{3} +(0.489927 - 1.93906i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.810756 + 0.112648i) q^{6} +(1.67292 - 2.04972i) q^{7} +(1.13826 + 2.58928i) q^{8} +(-1.33250 - 2.30795i) q^{9} +O(q^{10})$	\(q+(-1.11578 + 0.868928i) q^{2} +(0.501254 + 0.289399i) q^{3} +(0.489927 - 1.93906i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.810756 + 0.112648i) q^{6} +(1.67292 - 2.04972i) q^{7} +(1.13826 + 2.58928i) q^{8} +(-1.33250 - 2.30795i) q^{9} +(-0.531829 + 1.31040i) q^{10} +(-2.16405 - 1.24941i) q^{11} +(0.806741 - 0.830179i) q^{12} -2.47277i q^{13} +(-0.0855519 + 3.74068i) q^{14} +0.578798 q^{15} +(-3.51994 - 1.90000i) q^{16} +(1.43843 - 2.49143i) q^{17} +(3.49222 + 1.41732i) q^{18} +(2.47529 - 1.42911i) q^{19} +(-0.545243 - 1.92424i) q^{20} +(1.43174 - 0.543287i) q^{21} +(3.50025 - 0.486332i) q^{22} +(3.87044 + 6.70380i) q^{23} +(-0.178779 + 1.62730i) q^{24} +(0.500000 - 0.866025i) q^{25} +(2.14866 + 2.75907i) q^{26} -3.27889i q^{27} +(-3.15492 - 4.24811i) q^{28} +4.25467i q^{29} +(-0.645811 + 0.502934i) q^{30} +(-3.93134 + 6.80927i) q^{31} +(5.57844 - 0.938596i) q^{32} +(-0.723158 - 1.25255i) q^{33} +(0.559906 + 4.02978i) q^{34} +(0.423932 - 2.61157i) q^{35} +(-5.12809 + 1.45307i) q^{36} +(10.0961 - 5.82899i) q^{37} +(-1.52008 + 3.74542i) q^{38} +(0.715618 - 1.23949i) q^{39} +(2.28040 + 1.67325i) q^{40} -1.00301 q^{41} +(-1.12543 + 1.85027i) q^{42} +2.08902i q^{43} +(-3.48292 + 3.58410i) q^{44} +(-2.30795 - 1.33250i) q^{45} +(-10.1437 - 4.11682i) q^{46} +(5.36902 + 9.29941i) q^{47} +(-1.21453 - 1.97105i) q^{48} +(-1.40268 - 6.85802i) q^{49} +(0.194624 + 1.40076i) q^{50} +(1.44204 - 0.832559i) q^{51} +(-4.79487 - 1.21148i) q^{52} +(-8.02367 - 4.63247i) q^{53} +(2.84912 + 3.65851i) q^{54} -2.49882 q^{55} +(7.21150 + 1.99855i) q^{56} +1.65433 q^{57} +(-3.69700 - 4.74727i) q^{58} +(-2.41029 - 1.39158i) q^{59} +(0.283569 - 1.12233i) q^{60} +(-3.02882 + 1.74869i) q^{61} +(-1.53027 - 11.0137i) q^{62} +(-6.95981 - 1.12978i) q^{63} +(-5.40874 + 5.89453i) q^{64} +(-1.23639 - 2.14148i) q^{65} +(1.89526 + 0.769192i) q^{66} +(-4.10421 - 2.36957i) q^{67} +(-4.12632 - 4.00982i) q^{68} +4.48041i q^{69} +(1.79625 + 3.28230i) q^{70} +0.599192 q^{71} +(4.45921 - 6.07725i) q^{72} +(-2.05363 + 3.55700i) q^{73} +(-6.20005 + 15.2766i) q^{74} +(0.501254 - 0.289399i) q^{75} +(-1.55842 - 5.49991i) q^{76} +(-6.18122 + 2.34551i) q^{77} +(0.278553 + 2.00481i) q^{78} +(-1.91464 - 3.31625i) q^{79} +(-3.99836 + 0.114522i) q^{80} +(-3.04858 + 5.28030i) q^{81} +(1.11914 - 0.871544i) q^{82} +17.2846i q^{83} +(-0.352019 - 3.04241i) q^{84} -2.87686i q^{85} +(-1.81521 - 2.33089i) q^{86} +(-1.23130 + 2.13267i) q^{87} +(0.771837 - 7.02547i) q^{88} +(-5.95820 - 10.3199i) q^{89} +(3.73301 - 0.518672i) q^{90} +(-5.06848 - 4.13675i) q^{91} +(14.8953 - 4.22066i) q^{92} +(-3.94120 + 2.27545i) q^{93} +(-14.0712 - 5.71080i) q^{94} +(1.42911 - 2.47529i) q^{95} +(3.06785 + 1.14392i) q^{96} -7.30919 q^{97} +(7.52421 + 6.43321i) q^{98} +6.65935i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9}+O(q^{10}) $ 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9	$ 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9} + 2 q^{10} - 10 q^{12} + 20 q^{14} - 22 q^{16} - 12 q^{17} + 6 q^{18} - 16 q^{20} - 28 q^{22} - 2 q^{23} - 32 q^{24} + 30 q^{25} - 4 q^{26} - 22 q^{28} - 6 q^{32} - 16 q^{34} + 20 q^{36} - 42 q^{38} + 4 q^{40} - 36 q^{41} - 62 q^{42} + 14 q^{44} + 28 q^{46} - 30 q^{47} + 124 q^{48} + 12 q^{49} + 8 q^{50} + 8 q^{52} - 40 q^{54} - 44 q^{55} + 8 q^{56} - 32 q^{57} - 14 q^{58} + 14 q^{60} - 16 q^{62} - 74 q^{63} + 4 q^{64} + 2 q^{65} + 60 q^{66} + 28 q^{68} + 10 q^{70} - 8 q^{71} - 72 q^{72} - 52 q^{74} - 12 q^{76} - 40 q^{78} + 32 q^{79} - 22 q^{81} - 16 q^{82} - 8 q^{84} - 44 q^{86} + 48 q^{87} - 16 q^{88} + 4 q^{89} - 48 q^{90} + 84 q^{92} - 56 q^{94} + 2 q^{95} - 16 q^{96} - 96 q^{97} - 80 q^{98}+O(q^{100}) $ 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9 + 2 * q^10 - 10 * q^12 + 20 * q^14 - 22 * q^16 - 12 * q^17 + 6 * q^18 - 16 * q^20 - 28 * q^22 - 2 * q^23 - 32 * q^24 + 30 * q^25 - 4 * q^26 - 22 * q^28 - 6 * q^32 - 16 * q^34 + 20 * q^36 - 42 * q^38 + 4 * q^40 - 36 * q^41 - 62 * q^42 + 14 * q^44 + 28 * q^46 - 30 * q^47 + 124 * q^48 + 12 * q^49 + 8 * q^50 + 8 * q^52 - 40 * q^54 - 44 * q^55 + 8 * q^56 - 32 * q^57 - 14 * q^58 + 14 * q^60 - 16 * q^62 - 74 * q^63 + 4 * q^64 + 2 * q^65 + 60 * q^66 + 28 * q^68 + 10 * q^70 - 8 * q^71 - 72 * q^72 - 52 * q^74 - 12 * q^76 - 40 * q^78 + 32 * q^79 - 22 * q^81 - 16 * q^82 - 8 * q^84 - 44 * q^86 + 48 * q^87 - 16 * q^88 + 4 * q^89 - 48 * q^90 + 84 * q^92 - 56 * q^94 + 2 * q^95 - 16 * q^96 - 96 * q^97 - 80 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$1$	$1$	$-1$	$e\left(\frac{2}{3}\right)$

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 $

$2$	−1.11578	+	0.868928i	−0.788975	+	0.614425i
$2$	−1.11578	+	0.868928i	−0.788975	+	0.614425i
$3$	0.501254	+	0.289399i	0.289399	+	0.167085i	0.637671	−	0.770309i	$-0.279898\pi$
$3$	0.501254	+	0.289399i	0.289399	+	0.167085i	−0.348272	+	0.937394i	$0.613231\pi$
$4$	0.489927	−	1.93906i	0.244964	−	0.969532i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$5$	0.866025	−	0.500000i	0.387298	−	0.223607i
$6$	−0.810756	+	0.112648i	−0.330990	+	0.0459884i
$7$	1.67292	−	2.04972i	0.632304	−	0.774720i
$7$	1.67292	−	2.04972i	0.632304	−	0.774720i
$8$	1.13826	+	2.58928i	0.402435	+	0.915449i
$9$	−1.33250	−	2.30795i	−0.444165	−	0.769317i
$10$	−0.531829	+	1.31040i	−0.168179	+	0.414386i
$11$	−2.16405	−	1.24941i	−0.652484	−	0.376712i	0.136923	−	0.990582i	$-0.456279\pi$
$11$	−2.16405	−	1.24941i	−0.652484	−	0.376712i	−0.789407	+	0.613870i	$0.789612\pi$
$12$	0.806741	−	0.830179i	0.232886	−	0.239652i
$13$		−	2.47277i		−	0.685824i	−0.939368	−	0.342912i	$-0.888587\pi$
$13$		−	2.47277i		−	0.685824i	0.939368	−	0.342912i	$-0.111413\pi$
$14$	−0.0855519	+	3.74068i	−0.0228647	+	0.999739i
$15$	0.578798			0.149445
$16$	−3.51994	−	1.90000i	−0.879986	−	0.475000i
$17$	1.43843	−	2.49143i	0.348870	−	0.604261i	−0.637179	−	0.770716i	$-0.719899\pi$
$17$	1.43843	−	2.49143i	0.348870	−	0.604261i	0.986049	+	0.166455i	$0.0532321\pi$
$18$	3.49222	+	1.41732i	0.823123	+	0.334066i
$19$	2.47529	−	1.42911i	0.567870	−	0.327860i	−0.188428	−	0.982087i	$-0.560339\pi$
$19$	2.47529	−	1.42911i	0.567870	−	0.327860i	0.756298	+	0.654227i	$0.227006\pi$
$20$	−0.545243	−	1.92424i	−0.121920	−	0.430274i
$21$	1.43174	−	0.543287i	0.312432	−	0.118555i
$22$	3.50025	−	0.486332i	0.746255	−	0.103686i
$23$	3.87044	+	6.70380i	0.807042	+	1.39784i	0.914904	+	0.403672i	$0.132266\pi$
$23$	3.87044	+	6.70380i	0.807042	+	1.39784i	−0.107861	+	0.994166i	$0.534400\pi$
$24$	−0.178779	+	1.62730i	−0.0364931	+	0.332171i
$25$	0.500000	−	0.866025i	0.100000	−	0.173205i
$26$	2.14866	+	2.75907i	0.421387	+	0.541098i
$27$		−	3.27889i		−	0.631022i
$28$	−3.15492	−	4.24811i	−0.596225	−	0.802818i
$29$			4.25467i			0.790073i	0.918666	+	0.395036i	$0.129268\pi$
$29$			4.25467i			0.790073i	−0.918666	+	0.395036i	$0.870732\pi$
$30$	−0.645811	+	0.502934i	−0.117908	+	0.0918228i
$31$	−3.93134	+	6.80927i	−0.706089	+	1.22298i	0.260208	+	0.965553i	$0.416209\pi$
$31$	−3.93134	+	6.80927i	−0.706089	+	1.22298i	−0.966297	+	0.257429i	$0.917125\pi$
$32$	5.57844	−	0.938596i	0.986139	−	0.165922i
$33$	−0.723158	−	1.25255i	−0.125886	−	0.218040i
$34$	0.559906	+	4.02978i	0.0960231	+	0.691101i
$35$	0.423932	−	2.61157i	0.0716576	−	0.441435i
$36$	−5.12809	+	1.45307i	−0.854682	+	0.242178i
$37$	10.0961	−	5.82899i	1.65979	−	0.958279i	0.686977	−	0.726679i	$-0.258937\pi$
$37$	10.0961	−	5.82899i	1.65979	−	0.958279i	0.972811	−	0.231601i	$-0.0743962\pi$
$38$	−1.52008	+	3.74542i	−0.246590	+	0.607587i
$39$	0.715618	−	1.23949i	0.114591	−	0.198477i
$40$	2.28040	+	1.67325i	0.360563	+	0.264565i
$41$	−1.00301			−0.156644			−0.0783220	−	0.996928i	$-0.524956\pi$
$41$	−1.00301			−0.156644			−0.0783220	+	0.996928i	$0.524956\pi$
$42$	−1.12543	+	1.85027i	−0.173658	+	0.285503i
$43$			2.08902i			0.318573i	0.987232	+	0.159286i	$0.0509193\pi$
$43$			2.08902i			0.318573i	−0.987232	+	0.159286i	$0.949081\pi$
$44$	−3.48292	+	3.58410i	−0.525069	+	0.540324i
$45$	−2.30795	−	1.33250i	−0.344049	−	0.198637i
$46$	−10.1437	−	4.11682i	−1.49560	−	0.606993i
$47$	5.36902	+	9.29941i	0.783152	+	1.35646i	0.930097	+	0.367314i	$0.119723\pi$
$47$	5.36902	+	9.29941i	0.783152	+	1.35646i	−0.146945	+	0.989145i	$0.546944\pi$
$48$	−1.21453	−	1.97105i	−0.175302	−	0.284497i
$49$	−1.40268	−	6.85802i	−0.200383	−	0.979718i
$50$	0.194624	+	1.40076i	0.0275240	+	0.198097i
$51$	1.44204	−	0.832559i	0.201925	−	0.116582i
$52$	−4.79487	−	1.21148i	−0.664928	−	0.168002i
$53$	−8.02367	−	4.63247i	−1.10214	−	0.636319i	−0.165355	−	0.986234i	$-0.552877\pi$
$53$	−8.02367	−	4.63247i	−1.10214	−	0.636319i	−0.936781	+	0.349915i	$0.886210\pi$
$54$	2.84912	+	3.65851i	0.387716	+	0.497861i
$55$	−2.49882			−0.336941
$56$	7.21150	+	1.99855i	0.963678	+	0.267068i
$57$	1.65433			0.219122
$58$	−3.69700	−	4.74727i	−0.485440	−	0.623348i
$59$	−2.41029	−	1.39158i	−0.313793	−	0.181169i	0.334829	−	0.942279i	$-0.391321\pi$
$59$	−2.41029	−	1.39158i	−0.313793	−	0.181169i	−0.648623	+	0.761110i	$0.724655\pi$
$60$	0.283569	−	1.12233i	0.0366086	−	0.144892i
$61$	−3.02882	+	1.74869i	−0.387801	+	0.223897i	−0.681207	−	0.732091i	$-0.738545\pi$
$61$	−3.02882	+	1.74869i	−0.387801	+	0.223897i	0.293406	+	0.955988i	$0.405211\pi$
$62$	−1.53027	−	11.0137i	−0.194344	−	1.39874i
$63$	−6.95981	−	1.12978i	−0.876853	−	0.142338i
$64$	−5.40874	+	5.89453i	−0.676092	+	0.736817i
$65$	−1.23639	−	2.14148i	−0.153355	−	0.265618i
$66$	1.89526	+	0.769192i	0.233290	+	0.0946810i
$67$	−4.10421	−	2.36957i	−0.501409	−	0.289489i	0.227886	−	0.973688i	$-0.426819\pi$
$67$	−4.10421	−	2.36957i	−0.501409	−	0.289489i	−0.729295	+	0.684199i	$0.760152\pi$
$68$	−4.12632	−	4.00982i	−0.500390	−	0.486263i
$69$			4.48041i			0.539377i
$70$	1.79625	+	3.28230i	0.214693	+	0.392310i
$71$	0.599192			0.0711110			0.0355555	−	0.999368i	$-0.488680\pi$
$71$	0.599192			0.0711110			0.0355555	+	0.999368i	$0.488680\pi$
$72$	4.45921	−	6.07725i	0.525523	−	0.716211i
$73$	−2.05363	+	3.55700i	−0.240359	+	0.416315i	−0.960817	−	0.277185i	$-0.910599\pi$
$73$	−2.05363	+	3.55700i	−0.240359	+	0.416315i	0.720457	+	0.693499i	$0.243932\pi$
$74$	−6.20005	+	15.2766i	−0.720741	+	1.77587i
$75$	0.501254	−	0.289399i	0.0578798	−	0.0334169i
$76$	−1.55842	−	5.49991i	−0.178763	−	0.630882i
$77$	−6.18122	+	2.34551i	−0.704415	+	0.267296i
$78$	0.278553	+	2.00481i	0.0315400	+	0.227001i
$79$	−1.91464	−	3.31625i	−0.215414	−	0.373108i	0.737987	−	0.674815i	$-0.235777\pi$
$79$	−1.91464	−	3.31625i	−0.215414	−	0.373108i	−0.953401	+	0.301708i	$0.902443\pi$
$80$	−3.99836	+	0.114522i	−0.447030	+	0.0128040i
$81$	−3.04858	+	5.28030i	−0.338731	+	0.586700i
$82$	1.11914	−	0.871544i	0.123588	−	0.0962460i
$83$			17.2846i			1.89723i	0.316438	+	0.948613i	$0.397513\pi$
$83$			17.2846i			1.89723i	−0.316438	+	0.948613i	$0.602487\pi$
$84$	−0.352019	−	3.04241i	−0.0384084	−	0.331955i
$85$		−	2.87686i		−	0.312039i
$86$	−1.81521	−	2.33089i	−0.195739	−	0.251346i
$87$	−1.23130	+	2.13267i	−0.132009	+	0.228646i
$88$	0.771837	−	7.02547i	0.0822781	−	0.748918i
$89$	−5.95820	−	10.3199i	−0.631568	−	1.09391i	−0.987231	−	0.159294i	$-0.949078\pi$
$89$	−5.95820	−	10.3199i	−0.631568	−	1.09391i	0.355663	−	0.934614i	$-0.384255\pi$
$90$	3.73301	−	0.518672i	0.393494	−	0.0546729i
$91$	−5.06848	−	4.13675i	−0.531322	−	0.433649i
$92$	14.8953	−	4.22066i	1.55295	−	0.440034i
$93$	−3.94120	+	2.27545i	−0.408683	+	0.235953i
$94$	−14.0712	−	5.71080i	−1.45133	−	0.589024i
$95$	1.42911	−	2.47529i	0.146624	−	0.253959i
$96$	3.06785	+	1.14392i	0.313111	+	0.116751i
$97$	−7.30919			−0.742136			−0.371068	−	0.928606i	$-0.621008\pi$
$97$	−7.30919			−0.742136			−0.371068	+	0.928606i	$0.621008\pi$
$98$	7.52421	+	6.43321i	0.760060	+	0.649853i
$99$			6.65935i			0.669290i
$100$	−1.43432	−	1.39382i	−0.143432	−	0.139382i
$101$	14.1224	+	8.15356i	1.40523	+	0.811309i	0.994923	−	0.100639i	$-0.0320886\pi$
$101$	14.1224	+	8.15356i	1.40523	+	0.811309i	0.410306	+	0.911948i	$0.365422\pi$
$102$	−0.885559	+	2.18198i	−0.0876834	+	0.216048i
$103$	4.48415	+	7.76678i	0.441836	+	0.765283i	0.997826	−	0.0659063i	$-0.0209938\pi$
$103$	4.48415	+	7.76678i	0.441836	+	0.765283i	−0.555989	+	0.831189i	$0.687660\pi$
$104$	6.40270	−	2.81465i	0.627836	−	0.275999i
$105$	0.968283	−	1.18637i	0.0944947	−	0.115778i
$106$	12.9779	−	1.80318i	1.26053	−	0.175141i
$107$	4.49924	−	2.59764i	0.434958	−	0.251123i	−0.266498	−	0.963835i	$-0.585867\pi$
$107$	4.49924	−	2.59764i	0.434958	−	0.251123i	0.701457	+	0.712712i	$0.252533\pi$
$108$	−6.35797	−	1.60642i	−0.611796	−	0.154577i
$109$	1.95202	+	1.12700i	0.186969	+	0.107947i	0.590563	−	0.806991i	$-0.298906\pi$
$109$	1.95202	+	1.12700i	0.186969	+	0.107947i	−0.403594	+	0.914938i	$0.632239\pi$
$110$	2.78814	−	2.17130i	0.265838	−	0.207025i
$111$	6.74761			0.640455
$112$	−9.78305	+	4.03634i	−0.924411	+	0.381398i
$113$	14.9606			1.40738			0.703688	−	0.710509i	$-0.251535\pi$
$113$	14.9606			1.40738			0.703688	+	0.710509i	$0.251535\pi$
$114$	−1.84587	+	1.43750i	−0.172881	+	0.134634i
$115$	6.70380	+	3.87044i	0.625132	+	0.360920i
$116$	8.25008	+	2.08448i	0.766001	+	0.193539i
$117$	−5.70704	+	3.29496i	−0.527616	+	0.304619i
$118$	3.89854	−	0.541672i	0.358890	−	0.0498649i
$119$	−2.70035	−	7.11633i	−0.247541	−	0.652353i
$120$	0.658821	+	1.49867i	0.0601419	+	0.136809i
$121$	−2.37794	−	4.11871i	−0.216176	−	0.374428i
$122$	1.86001	−	4.58298i	0.168397	−	0.414924i
$123$	−0.502763	−	0.290270i	−0.0453326	−	0.0261728i
$124$	11.2776	+	10.9592i	1.01275	+	0.984162i
$125$		−	1.00000i		−	0.0894427i
$126$	8.74730	−	4.78699i	0.779272	−	0.426459i
$127$	1.49114			0.132317			0.0661585	−	0.997809i	$-0.478926\pi$
$127$	1.49114			0.132317			0.0661585	+	0.997809i	$0.478926\pi$
$128$	0.913033	−	11.2768i	0.0807015	−	0.996738i
$129$	−0.604560	+	1.04713i	−0.0532286	+	0.0921946i
$130$	3.24033	+	1.31509i	0.284196	+	0.115341i
$131$	−8.53057	+	4.92513i	−0.745320	+	0.430311i	−0.824000	−	0.566589i	$-0.808263\pi$
$131$	−8.53057	+	4.92513i	−0.745320	+	0.430311i	0.0786806	+	0.996900i	$0.474929\pi$
$132$	−2.78306	+	0.788593i	−0.242234	+	0.0686382i
$133$	1.21169	−	7.46443i	0.105067	−	0.647248i
$134$	6.63838	−	0.922351i	0.573469	−	0.0796790i
$135$	−1.63944	−	2.83960i	−0.141101	−	0.244394i
$136$	8.08831	+	0.888603i	0.693567	+	0.0761971i
$137$	−1.79084	+	3.10182i	−0.153002	+	0.265007i	−0.932330	−	0.361610i	$-0.882227\pi$
$137$	−1.79084	+	3.10182i	−0.153002	+	0.265007i	0.779328	+	0.626616i	$0.215561\pi$
$138$	−3.89315	−	4.99914i	−0.331407	−	0.425555i
$139$			10.7956i			0.915671i	0.889037	+	0.457835i	$0.151375\pi$
$139$			10.7956i			0.915671i	−0.889037	+	0.457835i	$0.848625\pi$
$140$	−4.85630	−	2.10151i	−0.410432	−	0.177610i
$141$			6.21516i			0.523411i
$142$	−0.668566	+	0.520655i	−0.0561048	+	0.0436924i
$143$	−3.08951	+	5.35119i	−0.258358	+	0.447489i
$144$	0.305201	+	10.6556i	0.0254334	+	0.887967i
$145$	2.12734	+	3.68465i	0.176666	+	0.305994i
$146$	−0.799373	−	5.75328i	−0.0661566	−	0.476145i
$147$	1.28161	−	3.84355i	0.105705	−	0.317010i
$148$	−6.35643	−	22.4328i	−0.522495	−	1.84396i
$149$	10.7110	−	6.18401i	0.877481	−	0.506614i	0.00765395	−	0.999971i	$-0.497564\pi$
$149$	10.7110	−	6.18401i	0.877481	−	0.506614i	0.869827	+	0.493357i	$0.164230\pi$
$150$	−0.307822	+	0.758459i	−0.0251335	+	0.0619279i
$151$	4.75724	−	8.23978i	0.387139	−	0.670544i	−0.604925	−	0.796283i	$-0.706797\pi$
$151$	4.75724	−	8.23978i	0.387139	−	0.670544i	0.992063	+	0.125739i	$0.0401301\pi$
$152$	6.51788	+	4.78252i	0.528670	+	0.387914i
$153$	−7.66680			−0.619824
$154$	4.85879	−	7.98811i	0.391532	−	0.643700i
$155$			7.86267i			0.631545i
$156$	−2.05284	−	1.99489i	−0.164359	−	0.159719i
$157$	2.59825	+	1.50010i	0.207363	+	0.119721i	0.600085	−	0.799936i	$-0.295133\pi$
$157$	2.59825	+	1.50010i	0.207363	+	0.119721i	−0.392722	+	0.919657i	$0.628467\pi$
$158$	5.01790	+	2.03652i	0.399203	+	0.162017i
$159$	−2.68126	−	4.64409i	−0.212638	−	0.368300i
$160$	4.36178	−	3.60207i	0.344829	−	0.284769i
$161$	20.2158	+	3.28161i	1.59323	+	0.258627i
$162$	−1.18666	−	8.54065i	−0.0932325	−	0.671017i
$163$	15.8811	−	9.16894i	1.24390	−	0.718166i	0.274015	−	0.961726i	$-0.411648\pi$
$163$	15.8811	−	9.16894i	1.24390	−	0.718166i	0.969886	+	0.243559i	$0.0783150\pi$
$164$	−0.491402	+	1.94490i	−0.0383721	+	0.151871i
$165$	−1.25255	−	0.723158i	−0.0975105	−	0.0562977i
$166$	−15.0190	−	19.2858i	−1.16570	−	1.49686i
$167$	−11.5514			−0.893873			−0.446936	−	0.894566i	$-0.647485\pi$
$167$	−11.5514			−0.893873			−0.446936	+	0.894566i	$0.647485\pi$
$168$	3.03642	+	3.08878i	0.234265	+	0.238305i
$169$	6.88540			0.529646
$170$	2.49978	+	3.20994i	0.191724	+	0.246191i
$171$	−6.59663	−	3.80857i	−0.504457	−	0.291248i
$172$	4.05074	+	1.02347i	0.308866	+	0.0780387i
$173$	−16.3619	+	9.44657i	−1.24398	+	0.718210i	−0.969901	−	0.243499i	$-0.921705\pi$
$173$	−16.3619	+	9.44657i	−1.24398	+	0.718210i	−0.274074	+	0.961709i	$0.588371\pi$
$174$	−0.479281	−	3.44950i	−0.0363342	−	0.261506i
$175$	−0.938647	−	2.47365i	−0.0709551	−	0.186990i
$176$	5.24343	+	8.50955i	0.395239	+	0.641431i
$177$	−0.805445	−	1.39507i	−0.0605410	−	0.104860i
$178$	15.6153	+	6.33749i	1.17042	+	0.475015i
$179$	−6.02298	−	3.47737i	−0.450179	−	0.259911i	0.257727	−	0.966218i	$-0.417027\pi$
$179$	−6.02298	−	3.47737i	−0.450179	−	0.259911i	−0.707906	+	0.706307i	$0.750360\pi$
$180$	−3.71452	+	3.82244i	−0.276864	+	0.284908i
$181$			17.9990i			1.33785i	0.743329	+	0.668926i	$0.233246\pi$
$181$			17.9990i			1.33785i	−0.743329	+	0.668926i	$0.766754\pi$
$182$	9.24985	+	0.211550i	0.685644	+	0.0156812i
$183$	−2.02428			−0.149639
$184$	−12.9524	+	17.6523i	−0.954867	+	1.30134i
$185$	5.82899	−	10.0961i	0.428556	−	0.742280i
$186$	2.42030	−	5.96352i	0.177465	−	0.437266i
$187$	−6.22565	+	3.59438i	−0.455264	+	0.262847i
$188$	20.6626	−	5.85484i	1.50697	−	0.427008i
$189$	−6.72079	−	5.48531i	−0.488866	−	0.398998i
$190$	0.556279	+	4.00367i	0.0403567	+	0.290457i
$191$	−1.24176	−	2.15080i	−0.0898508	−	0.155626i	0.817597	−	0.575791i	$-0.195306\pi$
$191$	−1.24176	−	2.15080i	−0.0898508	−	0.155626i	−0.907448	+	0.420165i	$0.861972\pi$
$192$	−4.41702	+	1.38937i	−0.318771	+	0.100269i
$193$	−8.62515	+	14.9392i	−0.620852	+	1.07535i	0.368476	+	0.929637i	$0.379880\pi$
$193$	−8.62515	+	14.9392i	−0.620852	+	1.07535i	−0.989327	+	0.145709i	$0.953454\pi$
$194$	8.15544	−	6.35116i	0.585527	−	0.455987i
$195$		−	1.43124i		−	0.102493i
$196$	−13.9854	−	0.640045i	−0.998954	−	0.0457175i
$197$			11.0964i			0.790584i	0.918556	+	0.395292i	$0.129357\pi$
$197$			11.0964i			0.790584i	−0.918556	+	0.395292i	$0.870643\pi$
$198$	−5.78650	−	7.43036i	−0.411228	−	0.528053i
$199$	5.52357	−	9.56710i	0.391555	−	0.678194i	−0.601100	−	0.799174i	$-0.705271\pi$
$199$	5.52357	−	9.56710i	0.391555	−	0.678194i	0.992655	+	0.120980i	$0.0386038\pi$
$200$	2.81151	+	0.308880i	0.198804	+	0.0218411i
$201$	−1.37150	−	2.37551i	−0.0967382	−	0.167556i
$202$	−22.8423	+	3.17376i	−1.60718	+	0.223305i
$203$	8.72087	+	7.11772i	0.612085	+	0.499566i
$204$	−0.907894	−	3.20409i	−0.0635653	−	0.224331i
$205$	−0.868633	+	0.501505i	−0.0606679	+	0.0350267i
$206$	−11.7521	−	4.76960i	−0.818807	−	0.332314i
$207$	10.3147	−	17.8656i	0.716921	−	1.24174i
$208$	−4.69827	+	8.70402i	−0.325766	+	0.603515i
$209$	−7.14219			−0.494035
$210$	−0.0495173	+	2.16510i	−0.00341702	+	0.149406i
$211$		−	16.9744i		−	1.16856i	−0.811550	−	0.584282i	$-0.801376\pi$
$211$		−	16.9744i		−	1.16856i	0.811550	−	0.584282i	$-0.198624\pi$
$212$	−12.9137	+	13.2888i	−0.886915	+	0.912682i
$213$	0.300347	+	0.173406i	0.0205795	+	0.0118816i
$214$	−2.76300	+	6.80791i	−0.188875	+	0.465379i
$215$	1.04451	+	1.80914i	0.0712350	+	0.123383i
$216$	8.48996	−	3.73222i	0.577668	−	0.253945i
$217$	7.38028	+	19.4495i	0.501006	+	1.32032i
$218$	−3.15730	+	0.438683i	−0.213840	+	0.0297113i
$219$	−2.05878	+	1.18864i	−0.139120	+	0.0803207i
$220$	−1.22424	+	4.84538i	−0.0825384	+	0.326676i
$221$	−6.16074	−	3.55691i	−0.414416	−	0.239263i
$222$	−7.52885	+	5.86319i	−0.505303	+	0.393512i
$223$	4.14574			0.277619			0.138810	−	0.990319i	$-0.455672\pi$
$223$	4.14574			0.277619			0.138810	+	0.990319i	$0.455672\pi$
$224$	7.40843	−	13.0044i	0.494997	−	0.868895i
$225$	−2.66499			−0.177666
$226$	−16.6928	+	12.9997i	−1.11039	+	0.864728i
$227$	−11.9341	−	6.89016i	−0.792094	−	0.457316i	0.0486049	−	0.998818i	$-0.484522\pi$
$227$	−11.9341	−	6.89016i	−0.792094	−	0.457316i	−0.840699	+	0.541502i	$0.817856\pi$
$228$	0.810502	−	3.20786i	0.0536768	−	0.212445i
$229$	17.0446	−	9.84068i	1.12634	−	0.650290i	0.183325	−	0.983052i	$-0.441314\pi$
$229$	17.0446	−	9.84068i	1.12634	−	0.650290i	0.943011	+	0.332762i	$0.107981\pi$
$230$	−10.8431	+	1.50656i	−0.714972	+	0.0993398i
$231$	−3.77715	−	0.613140i	−0.248518	−	0.0403416i
$232$	−11.0165	+	4.84291i	−0.723271	+	0.317953i
$233$	12.9818	+	22.4851i	0.850463	+	1.47305i	0.880791	+	0.473505i	$0.157012\pi$
$233$	12.9818	+	22.4851i	0.850463	+	1.47305i	−0.0303278	+	0.999540i	$0.509655\pi$
$234$	3.50471	−	8.63546i	0.229110	−	0.564517i
$235$	9.29941	+	5.36902i	0.606627	+	0.350236i
$236$	−3.87924	+	3.99194i	−0.252517	+	0.259853i
$237$		−	2.21638i		−	0.143969i
$238$	9.19658	+	5.59384i	0.596126	+	0.362595i
$239$	−22.8322			−1.47690			−0.738448	−	0.674311i	$-0.764441\pi$
$239$	−22.8322			−1.47690			−0.738448	+	0.674311i	$0.764441\pi$
$240$	−2.03734	−	1.09972i	−0.131509	−	0.0709864i
$241$	−11.7092	+	20.2809i	−0.754254	+	1.30641i	0.191490	+	0.981494i	$0.438668\pi$
$241$	−11.7092	+	20.2809i	−0.754254	+	1.30641i	−0.945744	+	0.324912i	$0.894665\pi$
$242$	6.23212	+	2.52931i	0.400616	+	0.162590i
$243$	−11.5750	+	6.68284i	−0.742538	+	0.428705i
$244$	1.90692	+	6.72981i	0.122078	+	0.430832i
$245$	−4.64377	−	5.23788i	−0.296679	−	0.334636i
$246$	0.813197	−	0.112987i	0.0518475	−	0.00720381i
$247$	−3.53386	−	6.12083i	−0.224854	−	0.389459i
$248$	−22.1060	−	2.42862i	−1.40373	−	0.154218i
$249$	−5.00213	+	8.66395i	−0.316997	+	0.549056i
$250$	0.868928	+	1.11578i	0.0549559	+	0.0705681i
$251$		−	18.5298i		−	1.16959i	−0.811180	−	0.584796i	$-0.801175\pi$
$251$		−	18.5298i		−	1.16959i	0.811180	−	0.584796i	$-0.198825\pi$
$252$	−5.60051	+	12.9420i	−0.352799	+	0.815270i
$253$		−	19.3431i		−	1.21609i
$254$	−1.66378	+	1.29569i	−0.104395	+	0.0812989i
$255$	0.832559	−	1.44204i	0.0521369	−	0.0903037i
$256$	8.77999	+	13.3758i	0.548750	+	0.835987i
$257$	−6.36633	−	11.0268i	−0.397121	−	0.687834i	0.596248	−	0.802800i	$-0.296657\pi$
$257$	−6.36633	−	11.0268i	−0.397121	−	0.687834i	−0.993369	+	0.114966i	$0.963324\pi$
$258$	−0.235324	−	1.69368i	−0.0146506	−	0.105444i
$259$	4.94219	−	30.4456i	0.307093	−	1.89180i
$260$	−4.75821	+	1.34826i	−0.295092	+	0.0836156i
$261$	9.81957	−	5.66933i	0.607816	−	0.350923i
$262$	5.23865	−	12.9078i	0.323645	−	0.797448i
$263$	3.47827	−	6.02455i	0.214480	−	0.371489i	−0.738632	−	0.674109i	$-0.764528\pi$
$263$	3.47827	−	6.02455i	0.214480	−	0.371489i	0.953111	+	0.302620i	$0.0978611\pi$
$264$	2.42005	−	3.29818i	0.148944	−	0.202989i
$265$	−9.26494			−0.569141
$266$	5.13407	+	9.38153i	0.314790	+	0.575218i
$267$		−	6.89719i		−	0.422101i
$268$	−6.60551	+	6.79742i	−0.403496	+	0.415218i
$269$	−19.9295	−	11.5063i	−1.21512	−	0.701552i	−0.251253	−	0.967921i	$-0.580843\pi$
$269$	−19.9295	−	11.5063i	−1.21512	−	0.701552i	−0.963871	+	0.266369i	$0.914176\pi$
$270$	4.29667	+	1.74381i	0.261487	+	0.106125i
$271$	−2.81388	−	4.87378i	−0.170931	−	0.296061i	0.767815	−	0.640672i	$-0.221344\pi$
$271$	−2.81388	−	4.87378i	−0.170931	−	0.296061i	−0.938746	+	0.344611i	$0.888011\pi$
$272$	−9.79690	+	6.03668i	−0.594025	+	0.366027i
$273$	−1.34343	−	3.54038i	−0.0813078	−	0.214273i
$274$	−0.697082	−	5.01706i	−0.0421122	−	0.303092i
$275$	−2.16405	+	1.24941i	−0.130497	+	0.0753424i
$276$	8.68780	+	2.19507i	0.522944	+	0.132128i
$277$	18.2563	+	10.5403i	1.09691	+	0.633303i	0.935408	−	0.353569i	$-0.115032\pi$
$277$	18.2563	+	10.5403i	1.09691	+	0.633303i	0.161504	+	0.986872i	$0.448365\pi$
$278$	−9.38060	−	12.0455i	−0.562611	−	0.722441i
$279$	20.9540			1.25448
$280$	7.24462	−	1.87496i	0.432949	−	0.112050i
$281$	−0.00377243			−0.000225044			−0.000112522	−	1.00000i	$-0.500036\pi$
$281$	−0.00377243			−0.000225044			−0.000112522		1.00000i	$0.500036\pi$
$282$	−5.40052	−	6.93474i	−0.321597	−	0.412958i
$283$	26.7710	+	15.4562i	1.59137	+	0.918778i	0.993073	+	0.117503i	$0.0374890\pi$
$283$	26.7710	+	15.4562i	1.59137	+	0.918778i	0.598297	+	0.801275i	$0.295844\pi$
$284$	0.293561	−	1.16187i	0.0174196	−	0.0689444i
$285$	1.43269	−	0.827166i	0.0848654	−	0.0489971i
$286$	−1.20259	−	8.65532i	−0.0711105	−	0.511800i
$287$	−1.67796	+	2.05589i	−0.0990466	+	0.121355i
$288$	−9.59949	−	11.6241i	−0.565655	−	0.684957i
$289$	4.36185	+	7.55495i	0.256579	+	0.444409i
$290$	−5.57534	−	2.26276i	−0.327395	−	0.132874i
$291$	−3.66376	−	2.11527i	−0.214773	−	0.123999i
$292$	5.89111	+	5.72479i	0.344751	+	0.335018i
$293$		−	21.6050i		−	1.26218i	−0.775711	−	0.631088i	$-0.782609\pi$
$293$		−	21.6050i		−	1.26218i	0.775711	−	0.631088i	$-0.217391\pi$
$294$	1.90978	+	5.40217i	0.111380	+	0.315061i
$295$	−2.78317			−0.162042
$296$	26.5848	+	19.5067i	1.54521	+	1.13381i
$297$	−4.09668	+	7.09566i	−0.237714	+	0.411732i
$298$	−6.57767	+	16.2071i	−0.381034	+	0.938852i
$299$	16.5770	−	9.57071i	0.958671	−	0.553489i
$300$	−0.315586	−	1.11375i	−0.0182203	−	0.0643023i
$301$	4.28190	+	3.49476i	0.246805	+	0.201435i
$302$	1.85175	+	13.3275i	0.106556	+	0.766911i
$303$	4.71926	+	8.17400i	0.271115	+	0.469584i
$304$	−11.4282	+	0.327330i	−0.655451	+	0.0187737i
$305$	−1.74869	+	3.02882i	−0.100130	+	0.173430i
$306$	8.55446	−	6.66190i	0.489026	−	0.380835i
$307$			26.7646i			1.52753i	0.645492	+	0.763767i	$0.276652\pi$
$307$			26.7646i			1.52753i	−0.645492	+	0.763767i	$0.723348\pi$
$308$	1.51976	+	13.1349i	0.0865963	+	0.748431i
$309$			5.19084i			0.295296i
$310$	−6.83210	−	8.77301i	−0.388037	−	0.498273i
$311$	−6.95283	+	12.0427i	−0.394259	+	0.682876i	−0.993006	−	0.118062i	$-0.962332\pi$
$311$	−6.95283	+	12.0427i	−0.394259	+	0.682876i	0.598748	+	0.800938i	$0.295665\pi$
$312$	4.02394	+	0.442080i	0.227811	+	0.0250279i
$313$	−4.98601	−	8.63602i	−0.281826	−	0.488137i	0.690009	−	0.723801i	$-0.257607\pi$
$313$	−4.98601	−	8.63602i	−0.281826	−	0.488137i	−0.971835	+	0.235664i	$0.924273\pi$
$314$	−4.20255	+	0.583912i	−0.237164	+	0.0329521i
$315$	−6.59226	+	2.50149i	−0.371432	+	0.140943i
$316$	−7.36846	+	2.08789i	−0.414509	+	0.117453i
$317$	−3.91362	+	2.25953i	−0.219811	+	0.126908i	−0.605863	−	0.795569i	$-0.707172\pi$
$317$	−3.91362	+	2.25953i	−0.219811	+	0.126908i	0.386052	+	0.922477i	$0.373839\pi$
$318$	7.02708	+	2.85195i	0.394059	+	0.159929i
$319$	5.31584	−	9.20730i	0.297630	−	0.515510i
$320$	−1.73684	+	7.80919i	−0.0970923	+	0.436547i
$321$	3.00702			0.167835
$322$	−25.4079	+	13.9045i	−1.41593	+	0.774870i
$323$		−	8.22268i		−	0.457522i
$324$	8.74526	+	8.49836i	0.485848	+	0.472131i
$325$	−2.14148	−	1.23639i	−0.118788	−	0.0685824i
$326$	−9.75261	+	24.0300i	−0.540147	+	1.33090i
$327$	0.652305	+	1.12982i	0.0360725	+	0.0624795i
$328$	−1.14168	−	2.59708i	−0.0630390	−	0.143399i
$329$	28.0431	+	4.55220i	1.54607	+	0.250971i
$330$	2.02594	−	0.281488i	0.111524	−	0.0154954i
$331$	6.72296	−	3.88150i	0.369527	−	0.213347i	−0.303725	−	0.952760i	$-0.598230\pi$
$331$	6.72296	−	3.88150i	0.369527	−	0.213347i	0.673252	+	0.739413i	$0.264897\pi$
$332$	33.5159	+	8.46817i	1.83942	+	0.464751i
$333$	−26.9060	−	15.5342i	−1.47444	−	0.851269i
$334$	12.8888	−	10.0373i	0.705243	−	0.549218i
$335$	−4.73914			−0.258927
$336$	−6.07190	−	0.807974i	−0.331249	−	0.0440786i
$337$	13.9304			0.758837			0.379419	−	0.925225i	$-0.376124\pi$
$337$	13.9304			0.758837			0.379419	+	0.925225i	$0.376124\pi$
$338$	−7.68258	+	5.98292i	−0.417877	+	0.325428i
$339$	7.49907	+	4.32959i	0.407294	+	0.235151i
$340$	−5.57841	−	1.40945i	−0.302532	−	0.0764382i
$341$	17.0152	−	9.82372i	0.921424	−	0.531984i
$342$	10.6698	−	1.48248i	0.576954	−	0.0801633i
$343$	−16.4036	−	8.59782i	−0.885710	−	0.464239i
$344$	−5.40906	+	2.37784i	−0.291637	+	0.128205i
$345$	2.24020	+	3.88014i	0.120608	+	0.208900i
$346$	10.0479	−	24.7576i	0.540180	−	1.33098i
$347$	−9.15172	−	5.28375i	−0.491290	−	0.283646i	0.233819	−	0.972280i	$-0.424878\pi$
$347$	−9.15172	−	5.28375i	−0.491290	−	0.283646i	−0.725110	+	0.688634i	$0.758211\pi$
$348$	3.53214	+	3.43242i	0.189343	+	0.183997i
$349$			15.5074i			0.830093i	0.909800	+	0.415047i	$0.136235\pi$
$349$			15.5074i			0.830093i	−0.909800	+	0.415047i	$0.863765\pi$
$350$	3.19675	+	1.94443i	0.170873	+	0.103934i
$351$	−8.10794			−0.432770
$352$	−13.2447	−	4.93861i	−0.705945	−	0.263229i
$353$	17.6699	−	30.6052i	0.940475	−	1.62895i	0.175907	−	0.984407i	$-0.443714\pi$
$353$	17.6699	−	30.6052i	0.940475	−	1.62895i	0.764568	−	0.644543i	$-0.222952\pi$
$354$	2.11092	+	0.856719i	0.112194	+	0.0455341i
$355$	0.518916	−	0.299596i	0.0275412	−	0.0159009i
$356$	−22.9301	+	6.49733i	−1.21529	+	0.344358i
$357$	0.705898	−	4.34857i	0.0373601	−	0.230151i
$358$	9.74190	−	1.35356i	0.514876	−	0.0715379i
$359$	1.52010	+	2.63288i	0.0802276	+	0.138958i	0.903348	−	0.428909i	$-0.141102\pi$
$359$	1.52010	+	2.63288i	0.0802276	+	0.138958i	−0.823120	+	0.567867i	$0.807769\pi$
$360$	0.823163	−	7.49266i	0.0433845	−	0.394898i
$361$	−5.41529	+	9.37956i	−0.285015	+	0.493661i
$362$	−15.6398	−	20.0829i	−0.822010	−	1.05553i
$363$		−	2.75269i		−	0.144479i
$364$	−10.5046	+	7.80141i	−0.550591	+	0.408905i
$365$			4.10726i			0.214984i
$366$	2.25865	−	1.75895i	0.118061	−	0.0919420i
$367$	−1.92336	+	3.33135i	−0.100398	+	0.173895i	−0.911849	−	0.410526i	$-0.865345\pi$
$367$	−1.92336	+	3.33135i	−0.100398	+	0.173895i	0.811450	+	0.584421i	$0.198678\pi$
$368$	−0.886503	−	30.9508i	−0.0462122	−	1.61342i
$369$	1.33651	+	2.31490i	0.0695758	+	0.120509i
$370$	2.26892	+	16.3300i	0.117956	+	0.848956i
$371$	−22.9182	+	8.69651i	−1.18985	+	0.451500i
$372$	2.48135	+	8.75704i	0.128652	+	0.454031i
$373$	7.88680	−	4.55345i	0.408363	−	0.235769i	−0.281723	−	0.959496i	$-0.590906\pi$
$373$	7.88680	−	4.55345i	0.408363	−	0.235769i	0.690086	+	0.723727i	$0.257573\pi$
$374$	3.82319	−	9.42017i	0.197692	−	0.487106i
$375$	0.289399	−	0.501254i	0.0149445	−	0.0258846i
$376$	−17.9675	+	24.4870i	−0.926601	+	1.26282i
$377$	10.5208			0.541851
$378$	12.2653	+	0.280515i	0.630857	+	0.0144281i
$379$		−	2.01062i		−	0.103278i	−0.998666	−	0.0516392i	$-0.983555\pi$
$379$		−	2.01062i		−	0.103278i	0.998666	−	0.0516392i	$-0.0164446\pi$
$380$	−4.09959	−	3.98385i	−0.210304	−	0.204367i
$381$	0.747439	+	0.431534i	0.0382924	+	0.0221082i
$382$	3.25442	+	1.32081i	0.166511	+	0.0675785i
$383$	−0.969496	−	1.67922i	−0.0495389	−	0.0858040i	0.840193	−	0.542288i	$-0.182442\pi$
$383$	−0.969496	−	1.67922i	−0.0495389	−	0.0858040i	−0.889732	+	0.456484i	$0.849109\pi$
$384$	3.72116	−	5.38831i	0.189895	−	0.274971i
$385$	−4.18033	+	5.12188i	−0.213049	+	0.261035i
$386$	−3.35733	−	24.1635i	−0.170883	−	1.22989i
$387$	4.82136	−	2.78361i	0.245083	−	0.141499i
$388$	−3.58097	+	14.1730i	−0.181796	+	0.719524i
$389$	11.2537	+	6.49735i	0.570587	+	0.329429i	0.757384	−	0.652970i	$-0.226477\pi$
$389$	11.2537	+	6.49735i	0.570587	+	0.329429i	−0.186796	+	0.982399i	$0.559811\pi$
$390$	1.24364	+	1.59694i	0.0629742	+	0.0808644i
$391$	22.2694			1.12621
$392$	16.1607	−	11.4381i	0.816240	−	0.577713i
$393$	−5.70131			−0.287593
$394$	−9.64196	−	12.3811i	−0.485755	−	0.623751i
$395$	−3.31625	−	1.91464i	−0.166859	−	0.0963360i
$396$	12.9129	+	3.26260i	0.648898	+	0.163952i
$397$	−10.7522	+	6.20778i	−0.539637	+	0.311560i	−0.744932	−	0.667141i	$-0.767518\pi$
$397$	−10.7522	+	6.20778i	−0.539637	+	0.311560i	0.205295	+	0.978700i	$0.434185\pi$
$398$	2.15004	+	15.4744i	0.107772	+	0.775659i
$399$	2.76756	−	3.39091i	0.138551	−	0.169758i
$400$	−3.40542	+	2.09836i	−0.170271	+	0.104918i
$401$	−6.84599	−	11.8576i	−0.341873	−	0.592141i	0.642908	−	0.765944i	$-0.277728\pi$
$401$	−6.84599	−	11.8576i	−0.341873	−	0.592141i	−0.984780	+	0.173803i	$0.944394\pi$
$402$	3.59444	+	1.45881i	0.179274	+	0.0727588i
$403$	16.8378	+	9.72130i	0.838750	+	0.484253i
$404$	22.7292	−	23.3895i	1.13082	−	1.16367i
$405$			6.09716i			0.302971i
$406$	−15.9154	−	0.363995i	−0.789866	−	0.0180648i
$407$	−29.1312			−1.44398
$408$	3.79714	+	2.78617i	0.187986	+	0.137936i
$409$	9.07459	−	15.7177i	0.448710	−	0.777188i	−0.549593	−	0.835433i	$-0.685217\pi$
$409$	9.07459	−	15.7177i	0.448710	−	0.777188i	0.998302	+	0.0582448i	$0.0185504\pi$
$410$	0.533430	−	1.31435i	0.0263442	−	0.0649111i
$411$	−1.79533	+	1.03653i	−0.0885571	+	0.0511285i
$412$	17.2572	−	4.88990i	0.850201	−	0.240908i
$413$	−6.88457	+	2.61241i	−0.338768	+	0.128548i
$414$	4.01498	+	28.8968i	0.197325	+	1.42020i
$415$	8.64228	+	14.9689i	0.424233	+	0.734793i
$416$	−2.32093	−	13.7942i	−0.113793	−	0.676317i
$417$	−3.12424	+	5.41134i	−0.152995	+	0.264994i
$418$	7.96910	−	6.20605i	0.389782	−	0.303548i
$419$		−	5.11726i		−	0.249994i	−0.992157	−	0.124997i	$-0.960108\pi$
$419$		−	5.11726i		−	0.249994i	0.992157	−	0.124997i	$-0.0398922\pi$
$420$	−1.82606	−	2.45880i	−0.0891028	−	0.119977i
$421$		−	18.6766i		−	0.910241i	−0.890430	−	0.455121i	$-0.849596\pi$
$421$		−	18.6766i		−	0.910241i	0.890430	−	0.455121i	$-0.150404\pi$
$422$	14.7495	+	18.9397i	0.717995	+	0.921968i
$423$	14.3084	−	24.7829i	0.695698	−	1.20498i
$424$	2.86175	−	26.0485i	0.138979	−	1.26503i
$425$	−1.43843	−	2.49143i	−0.0697740	−	0.120852i
$426$	−0.485799	+	0.0674979i	−0.0235370	+	0.00327029i
$427$	−1.48265	+	9.13365i	−0.0717506	+	0.442008i
$428$	−2.83269	−	9.99698i	−0.136923	−	0.483222i
$429$	−3.09726	+	1.78820i	−0.149537	+	0.0863353i
$430$	−2.73746	−	1.11100i	−0.132012	−	0.0535772i
$431$	11.9265	−	20.6574i	0.574481	−	0.995030i	−0.421617	−	0.906774i	$-0.638537\pi$
$431$	11.9265	−	20.6574i	0.574481	−	0.995030i	0.996098	−	0.0882563i	$-0.0281295\pi$
$432$	−6.22989	+	11.5415i	−0.299736	+	0.555290i
$433$	5.37015			0.258073			0.129036	−	0.991640i	$-0.458812\pi$
$433$	5.37015			0.258073			0.129036	+	0.991640i	$0.458812\pi$
$434$	−25.1350	−	15.2884i	−1.20652	−	0.733867i
$435$			2.46260i			0.118072i
$436$	3.14167	−	3.23294i	0.150459	−	0.154830i
$437$	19.1609	+	11.0626i	0.916591	+	0.529194i
$438$	1.26431	−	3.11519i	0.0604108	−	0.148850i
$439$	20.0916	+	34.7997i	0.958921	+	1.66090i	0.725130	+	0.688612i	$0.241780\pi$
$439$	20.0916	+	34.7997i	0.958921	+	1.66090i	0.233791	+	0.972287i	$0.424887\pi$
$440$	−2.84431	−	6.47016i	−0.135597	−	0.308453i
$441$	−13.9589	+	12.3756i	−0.664710	+	0.589315i
$442$	9.96472	−	1.38452i	0.473974	−	0.0658549i
$443$	−17.2189	+	9.94131i	−0.818092	+	0.472326i	−0.849758	−	0.527173i	$-0.823252\pi$
$443$	−17.2189	+	9.94131i	−0.818092	+	0.472326i	0.0316658	+	0.999499i	$0.489919\pi$
$444$	3.30584	−	13.0841i	0.156888	−	0.620942i
$445$	−10.3199	−	5.95820i	−0.489211	−	0.282446i
$446$	−4.62573	+	3.60235i	−0.219035	+	0.170576i
$447$	7.15859			0.338590
$448$	3.03374	+	20.9475i	0.143331	+	0.989675i
$449$	−23.2264			−1.09612			−0.548061	−	0.836438i	$-0.684634\pi$
$449$	−23.2264			−1.09612			−0.548061	+	0.836438i	$0.684634\pi$
$450$	2.97354	−	2.31569i	0.140174	−	0.109163i
$451$	2.17056	+	1.25317i	0.102208	+	0.0590097i
$452$	7.32961	−	29.0096i	0.344756	−	1.36450i
$453$	4.76917	−	2.75348i	0.224075	−	0.129370i
$454$	19.3029	−	2.68199i	0.905929	−	0.125872i
$455$	−6.45781	−	1.04829i	−0.302747	−	0.0491445i
$456$	1.88306	+	4.28353i	0.0881821	+	0.200595i
$457$	−15.4623	−	26.7816i	−0.723298	−	1.25279i	−0.959671	−	0.281126i	$-0.909292\pi$
$457$	−15.4623	−	26.7816i	−0.723298	−	1.25279i	0.236373	−	0.971662i	$-0.424041\pi$
$458$	−10.4671	+	25.7905i	−0.489096	+	1.20511i
$459$	−8.16912	−	4.71644i	−0.381302	−	0.220145i
$460$	10.7894	−	11.1029i	0.503058	−	0.517674i
$461$			34.6188i			1.61236i	0.591670	+	0.806180i	$0.298469\pi$
$461$			34.6188i			1.61236i	−0.591670	+	0.806180i	$0.701531\pi$
$462$	4.74724	−	2.59794i	0.220862	−	0.120867i
$463$	2.82918			0.131483			0.0657416	−	0.997837i	$-0.479059\pi$
$463$	2.82918			0.131483			0.0657416	+	0.997837i	$0.479059\pi$
$464$	8.08388	−	14.9762i	0.375285	−	0.695253i
$465$	−2.27545	+	3.94120i	−0.105521	+	0.182769i
$466$	−34.0227	−	13.8082i	−1.57607	−	0.639650i
$467$	3.96314	−	2.28812i	0.183392	−	0.105882i	−0.405493	−	0.914098i	$-0.632900\pi$
$467$	3.96314	−	2.28812i	0.183392	−	0.105882i	0.588886	+	0.808216i	$0.299567\pi$
$468$	3.59311	+	12.6806i	0.166091	+	0.586161i
$469$	−11.7230	+	4.44838i	−0.541316	+	0.205407i
$470$	−15.0414	+	2.08988i	−0.693807	+	0.0963991i
$471$	0.868255	+	1.50386i	0.0400071	+	0.0692943i
$472$	0.859664	−	7.82490i	0.0395692	−	0.360170i
$473$	2.61005	−	4.52073i	0.120010	−	0.207864i
$474$	1.92588	+	2.47299i	0.0884584	+	0.113588i
$475$		−	2.85822i		−	0.131144i
$476$	−15.1220	+	1.74967i	−0.693116	+	0.0801962i
$477$			24.6910i			1.13052i
$478$	25.4757	−	19.8396i	1.16523	−	0.907441i
$479$	−14.8283	+	25.6834i	−0.677522	+	1.17350i	0.298203	+	0.954502i	$0.403613\pi$
$479$	−14.8283	+	25.6834i	−0.677522	+	1.17350i	−0.975725	+	0.219000i	$0.929721\pi$
$480$	3.22879	−	0.543258i	0.147374	−	0.0247962i
$481$	−14.4138	−	24.9654i	−0.657211	−	1.13832i
$482$	−4.55778	−	32.8034i	−0.207601	−	1.49415i
$483$	9.18356	+	7.49536i	0.417867	+	0.341051i
$484$	−9.15146	+	2.59311i	−0.415975	+	0.117869i
$485$	−6.32994	+	3.65459i	−0.287428	+	0.165947i
$486$	7.10826	−	17.5144i	0.322437	−	0.794471i
$487$	13.0628	−	22.6255i	0.591933	−	1.02526i	−0.402038	−	0.915623i	$-0.631698\pi$
$487$	13.0628	−	22.6255i	0.591933	−	1.02526i	0.993972	−	0.109636i	$-0.0349685\pi$
$488$	−7.97543	−	5.85201i	−0.361031	−	0.264908i
$489$	10.6139			0.479978
$490$	9.73277	+	1.80922i	0.439682	+	0.0817322i
$491$			1.41034i			0.0636476i	0.999493	+	0.0318238i	$0.0101315\pi$
$491$			1.41034i			0.0636476i	−0.999493	+	0.0318238i	$0.989868\pi$
$492$	−0.809170	+	0.832679i	−0.0364802	+	0.0375400i
$493$	10.6002	+	6.12004i	0.477410	+	0.275633i
$494$	9.26157	+	3.75882i	0.416698	+	0.169117i
$495$	3.32967	+	5.76717i	0.149658	+	0.259215i
$496$	26.7757	−	16.4987i	1.20226	−	0.740814i
$497$	1.00240	−	1.22817i	0.0449638	−	0.0550912i
$498$	−1.94707	−	14.0136i	−0.0872505	−	0.627962i
$499$	−19.4624	+	11.2366i	−0.871258	+	0.503021i	−0.867766	−	0.496973i	$-0.834445\pi$
$499$	−19.4624	+	11.2366i	−0.871258	+	0.503021i	−0.00349185	+	0.999994i	$0.501111\pi$
$500$	−1.93906	−	0.489927i	−0.0867176	−	0.0219102i
$501$	−5.79018	−	3.34296i	−0.258686	−	0.149352i
$502$	16.1011	+	20.6752i	0.718627	+	0.922779i
$503$	−23.2803			−1.03802			−0.519009	−	0.854768i	$-0.673699\pi$
$503$	−23.2803			−1.03802			−0.519009	+	0.854768i	$0.673699\pi$
$504$	−4.99674	−	19.3069i	−0.222573	−	0.859996i
$505$	16.3071			0.725657
$506$	16.8078	+	21.5826i	0.747196	+	0.959465i
$507$	3.45133	+	1.99263i	0.153279	+	0.0884957i
$508$	0.730549	−	2.89141i	0.0324129	−	0.128286i
$509$	−1.21748	+	0.702914i	−0.0539640	+	0.0311561i	−0.526739	−	0.850027i	$-0.676586\pi$
$509$	−1.21748	+	0.702914i	−0.0539640	+	0.0311561i	0.472775	+	0.881183i	$0.343252\pi$
$510$	0.324073	+	2.33243i	0.0143502	+	0.103282i
$511$	3.85527	+	10.1599i	0.170547	+	0.449449i
$512$	−21.4191	−	7.29524i	−0.946601	−	0.322407i
$513$	−4.68589	−	8.11620i	−0.206887	−	0.358339i
$514$	16.6849	+	6.77160i	0.735941	+	0.298683i
$515$	7.76678	+	4.48415i	0.342245	+	0.197595i
$516$	1.73426	+	1.68530i	0.0763466	+	0.0741911i
$517$		−	26.8325i		−	1.18009i
$518$	20.9406	+	38.2649i	0.920078	+	1.68127i
$519$	−10.9353			−0.480007
$520$	4.13758	−	5.63891i	0.181445	−	0.247283i
$521$	13.9818	−	24.2171i	0.612552	−	1.06097i	−0.378256	−	0.925701i	$-0.623476\pi$
$521$	13.9818	−	24.2171i	0.612552	−	1.06097i	0.990809	−	0.135271i	$-0.0431904\pi$
$522$	−6.03023	+	14.8582i	−0.263936	+	0.650327i
$523$	−3.44202	+	1.98725i	−0.150509	+	0.0868964i	−0.573363	−	0.819301i	$-0.694362\pi$
$523$	−3.44202	+	1.98725i	−0.150509	+	0.0868964i	0.422854	+	0.906198i	$0.361028\pi$
$524$	5.37078	+	18.9543i	0.234624	+	0.828022i
$525$	0.245371	−	1.51157i	0.0107089	−	0.0659703i
$526$	1.35391	+	9.74444i	0.0590334	+	0.424878i
$527$	11.3099	+	19.5893i	0.492666	+	0.853323i
$528$	0.165635	+	5.78289i	0.00720835	+	0.251668i
$529$	−18.4606	+	31.9747i	−0.802634	+	1.39020i
$530$	10.3376	−	8.05057i	0.449038	−	0.349694i
$531$			7.41711i			0.321875i
$532$	−13.8804	−	6.00657i	−0.601790	−	0.260418i
$533$			2.48022i			0.107430i
$534$	5.99317	+	7.69575i	0.259350	+	0.333027i
$535$	2.59764	−	4.49924i	0.112306	−	0.194519i
$536$	1.46382	−	13.3241i	0.0632276	−	0.575515i
$537$	−2.01270	−	3.48609i	−0.0868542	−	0.150436i
$538$	32.2351	−	4.47882i	1.38975	−	0.193096i
$539$	−5.53303	+	16.5936i	−0.238325	+	0.714737i
$540$	−6.30938	+	1.78779i	−0.271512	+	0.0769342i
$541$	−28.3994	+	16.3964i	−1.22099	+	0.704937i	−0.965128	−	0.261777i	$-0.915691\pi$
$541$	−28.3994	+	16.3964i	−1.22099	+	0.704937i	−0.255859	+	0.966714i	$0.582358\pi$
$542$	7.37463	+	2.99300i	0.316768	+	0.128561i
$543$	−5.20888	+	9.02205i	−0.223535	+	0.387173i
$544$	5.68574	−	15.2484i	0.243774	−	0.653770i
$545$	2.25400			0.0965506
$546$	4.57530	+	2.78294i	0.195805	+	0.119099i
$547$		−	6.93736i		−	0.296620i	−0.988941	−	0.148310i	$-0.952617\pi$
$547$		−	6.93736i		−	0.296620i	0.988941	−	0.148310i	$-0.0473834\pi$
$548$	5.13726	+	4.99222i	0.219453	+	0.213257i
$549$	8.07179	+	4.66025i	0.344496	+	0.198895i
$550$	1.32895	−	3.27447i	0.0566665	−	0.139624i
$551$	6.08039	+	10.5315i	0.259033	+	0.448659i
$552$	−11.6010	+	5.09985i	−0.493772	+	0.217064i
$553$	−10.0004	−	1.62336i	−0.425261	−	0.0690321i
$554$	−29.5287	+	4.10278i	−1.25455	+	0.174310i
$555$	5.84360	−	3.37381i	0.248047	−	0.143210i
$556$	20.9334	+	5.28906i	0.887772	+	0.224306i
$557$	−9.86629	−	5.69630i	−0.418048	−	0.241360i	0.276194	−	0.961102i	$-0.410927\pi$
$557$	−9.86629	−	5.69630i	−0.418048	−	0.241360i	−0.694242	+	0.719742i	$0.744260\pi$
$558$	−23.3800	+	18.2075i	−0.989754	+	0.770785i
$559$	5.16567			0.218485
$560$	−6.45420	+	8.38709i	−0.272740	+	0.354419i
$561$	−4.16084			−0.175671
$562$	0.00420920	−	0.00327797i	0.000177554	−	0.000138273i
$563$	1.31640	+	0.760022i	0.0554795	+	0.0320311i	0.527483	−	0.849565i	$-0.323136\pi$
$563$	1.31640	+	0.760022i	0.0554795	+	0.0320311i	−0.472004	+	0.881597i	$0.656469\pi$
$564$	12.0516	+	3.04497i	0.507463	+	0.128217i
$565$	12.9563	−	7.48031i	0.545075	−	0.314699i
$566$	−43.3009	+	6.01632i	−1.82007	+	0.252885i
$567$	5.72309	+	15.0822i	0.240347	+	0.633395i
$568$	0.682035	+	1.55148i	0.0286176	+	0.0650985i
$569$	−1.03124	−	1.78617i	−0.0432320	−	0.0748800i	0.843600	−	0.536973i	$-0.180432\pi$
$569$	−1.03124	−	1.78617i	−0.0432320	−	0.0748800i	−0.886832	+	0.462093i	$0.847099\pi$
$570$	−0.879822	+	2.16784i	−0.0368517	+	0.0908009i
$571$	9.09479	+	5.25088i	0.380605	+	0.219742i	0.678081	−	0.734987i	$-0.262812\pi$
$571$	9.09479	+	5.25088i	0.380605	+	0.219742i	−0.297477	+	0.954729i	$0.596145\pi$
$572$	8.86267	+	8.61246i	0.370567	+	0.360105i
$573$		−	1.43746i		−	0.0600507i
$574$	0.0858095	−	3.75194i	0.00358162	−	0.156603i
$575$	7.74088			0.322817
$576$	20.8114	+	4.62866i	0.867143	+	0.192861i
$577$	5.13742	−	8.89827i	0.213873	−	0.370440i	−0.739050	−	0.673651i	$-0.764725\pi$
$577$	5.13742	−	8.89827i	0.213873	−	0.370440i	0.952923	+	0.303211i	$0.0980587\pi$
$578$	−11.4316	−	4.63952i	−0.475491	−	0.192979i
$579$	−8.64678	+	4.99222i	−0.359348	+	0.207470i
$580$	8.18702	−	2.31983i	0.339948	−	0.0963257i
$581$	35.4284	+	28.9157i	1.46982	+	1.19962i
$582$	5.92597	−	0.823367i	0.245639	−	0.0341297i
$583$	11.5757	+	20.0498i	0.479418	+	0.830376i
$584$	−11.5476	−	1.26865i	−0.477844	−	0.0524972i
$585$	−3.29496	+	5.70704i	−0.136230	+	0.235957i
$586$	18.7732	+	24.1064i	0.775513	+	0.995826i
$587$		−	15.5500i		−	0.641818i	−0.947110	−	0.320909i	$-0.896012\pi$
$587$		−	15.5500i		−	0.641818i	0.947110	−	0.320909i	$-0.103988\pi$
$588$	−6.82499	−	4.36818i	−0.281458	−	0.180141i
$589$			22.4732i			0.925994i
$590$	3.10540	−	2.41837i	0.127847	−	0.0995628i
$591$	−3.21128	+	5.56210i	−0.132094	+	0.228794i
$592$	−46.6128	+	1.33510i	−1.91577	+	0.0548722i
$593$	−15.8437	−	27.4421i	−0.650623	−	1.12691i	−0.982972	−	0.183756i	$-0.941174\pi$
$593$	−15.8437	−	27.4421i	−0.650623	−	1.12691i	0.332348	−	0.943157i	$-0.392159\pi$
$594$	−1.59463	−	11.4769i	−0.0654284	−	0.470904i
$595$	−5.89674	−	4.81275i	−0.241743	−	0.197303i
$596$	−6.74358	−	23.7991i	−0.276228	−	0.974848i
$597$	5.53742	−	3.19703i	0.226631	−	0.130846i
$598$	−10.1800	+	25.0830i	−0.416290	+	1.02572i
$599$	−9.95493	+	17.2424i	−0.406748	+	0.704507i	−0.994523	−	0.104517i	$-0.966670\pi$
$599$	−9.95493	+	17.2424i	−0.406748	+	0.704507i	0.587776	+	0.809024i	$0.300004\pi$
$600$	1.31989	+	0.968476i	0.0538843	+	0.0395379i
$601$	−14.0511			−0.573157			−0.286578	−	0.958057i	$-0.592518\pi$
$601$	−14.0511			−0.573157			−0.286578	+	0.958057i	$0.592518\pi$
$602$	−7.81435	−	0.178720i	−0.318489	−	0.00728407i
$603$			12.6298i			0.514324i
$604$	−13.6468	−	13.2615i	−0.555279	−	0.539603i
$605$	−4.11871	−	2.37794i	−0.167449	−	0.0966769i
$606$	−12.3683	−	5.01968i	−0.502427	−	0.203911i
$607$	−8.87169	−	15.3662i	−0.360091	−	0.623695i	0.627885	−	0.778306i	$-0.283921\pi$
$607$	−8.87169	−	15.3662i	−0.360091	−	0.623695i	−0.987975	+	0.154611i	$0.950588\pi$
$608$	12.4669	−	10.2955i	0.505600	−	0.417538i
$609$	2.31151	+	6.09160i	0.0936671	+	0.246844i
$610$	−0.680676	−	4.89899i	−0.0275598	−	0.198354i
$611$	22.9953	−	13.2764i	0.930292	−	0.537104i
$612$	−3.75617	+	14.8664i	−0.151834	+	0.600939i
$613$	17.2886	+	9.98158i	0.698280	+	0.403152i	0.806707	−	0.590952i	$-0.201248\pi$
$613$	17.2886	+	9.98158i	0.698280	+	0.403152i	−0.108426	+	0.994105i	$0.534581\pi$
$614$	−23.2565	−	29.8633i	−0.938555	−	1.20519i
$615$	−0.580541			−0.0234097
$616$	−13.1090	−	13.3351i	−0.528177	−	0.537286i
$617$	−17.9909			−0.724287			−0.362143	−	0.932122i	$-0.617955\pi$
$617$	−17.9909			−0.724287			−0.362143	+	0.932122i	$0.617955\pi$
$618$	−4.51046	−	5.79183i	−0.181437	−	0.232981i
$619$	−32.0934	−	18.5291i	−1.28994	−	0.744748i	−0.311297	−	0.950313i	$-0.600764\pi$
$619$	−32.0934	−	18.5291i	−1.28994	−	0.744748i	−0.978643	+	0.205565i	$0.934097\pi$
$620$	15.2462	+	3.85214i	0.612303	+	0.154706i
$621$	21.9810	−	12.6907i	0.882067	−	0.509262i
$622$	−2.70638	−	19.4785i	−0.108516	−	0.781015i
$623$	−31.1205	−	5.05175i	−1.24682	−	0.202394i
$624$	−4.87396	+	3.00325i	−0.195115	+	0.120226i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	13.0674	+	5.30341i	0.522277	+	0.211967i
$627$	−3.58005	−	2.06694i	−0.142973	−	0.0825457i
$628$	4.18175	−	4.30324i	0.166870	−	0.171718i
$629$		−	33.5383i		−	1.33726i
$630$	5.18189	−	8.51931i	0.206451	−	0.339417i
$631$	−31.2285			−1.24319			−0.621593	−	0.783340i	$-0.713514\pi$
$631$	−31.2285			−1.24319			−0.621593	+	0.783340i	$0.713514\pi$
$632$	6.40736	−	8.73229i	0.254871	−	0.347352i
$633$	4.91237	−	8.50847i	0.195249	−	0.338182i
$634$	2.40337	−	5.92180i	0.0954500	−	0.235185i
$635$	1.29136	−	0.745569i	0.0512462	−	0.0295870i
$636$	−10.3188	+	2.92388i	−0.409167	+	0.115939i
$637$	−16.9583	+	3.46851i	−0.671914	+	0.137427i
$638$	2.06918	+	14.8924i	0.0819197	+	0.589596i
$639$	−0.798422	−	1.38291i	−0.0315851	−	0.0547069i
$640$	−4.84769	−	10.2225i	−0.191622	−	0.404080i
$641$	21.0910	−	36.5307i	0.833045	−	1.44288i	−0.0625667	−	0.998041i	$-0.519929\pi$
$641$	21.0910	−	36.5307i	0.833045	−	1.44288i	0.895612	−	0.444836i	$-0.146738\pi$
$642$	−3.35517	+	2.61288i	−0.132418	+	0.103122i
$643$		−	34.3175i		−	1.35335i	−0.736282	−	0.676675i	$-0.763420\pi$
$643$		−	34.3175i		−	1.35335i	0.736282	−	0.676675i	$-0.236580\pi$
$644$	16.2675	−	37.5920i	0.641030	−	1.48133i
$645$			1.20912i			0.0476091i
$646$	7.14492	+	9.17470i	0.281113	+	0.360974i
$647$	−21.1717	+	36.6705i	−0.832346	+	1.44167i	0.0638273	+	0.997961i	$0.479669\pi$
$647$	−21.1717	+	36.6705i	−0.832346	+	1.44167i	−0.896173	+	0.443704i	$0.853664\pi$
$648$	−17.1422	−	1.88329i	−0.673411	−	0.0739827i
$649$	3.47732	+	6.02290i	0.136497	+	0.236419i
$650$	3.46375	−	0.481262i	0.135860	−	0.0188766i
$651$	−1.92927	+	11.8850i	−0.0756142	+	0.465809i
$652$	−9.99859	−	35.2865i	−0.391575	−	1.38193i
$653$	−4.91059	+	2.83513i	−0.192166	+	0.110947i	−0.592996	−	0.805205i	$-0.702055\pi$
$653$	−4.91059	+	2.83513i	−0.192166	+	0.110947i	0.400830	+	0.916152i	$0.368722\pi$
$654$	−1.70956	−	0.693829i	−0.0668493	−	0.0271309i
$655$	−4.92513	+	8.53057i	−0.192441	+	0.333317i
$656$	3.53054	+	1.90572i	0.137844	+	0.0744059i
$657$	10.9458			0.427037
$658$	−35.2454	+	19.2882i	−1.37401	+	0.751932i
$659$			25.1311i			0.978969i	0.872012	+	0.489484i	$0.162815\pi$
$659$			25.1311i			0.978969i	−0.872012	+	0.489484i	$0.837185\pi$
$660$	−2.01591	+	2.07447i	−0.0784690	+	0.0807487i
$661$	−19.8385	−	11.4537i	−0.771627	−	0.445499i	0.0618276	−	0.998087i	$-0.480307\pi$
$661$	−19.8385	−	11.4537i	−0.771627	−	0.445499i	−0.833455	+	0.552588i	$0.813640\pi$
$662$	−4.12859	+	10.1727i	−0.160462	+	0.395372i
$663$	−2.05873	−	3.56583i	−0.0799544	−	0.138485i
$664$	−44.7546	+	19.6743i	−1.73681	+	0.763510i
$665$	−2.68286	−	7.07023i	−0.104037	−	0.274172i
$666$	43.5193	−	6.04667i	1.68634	−	0.234304i
$667$	−28.5225	+	16.4674i	−1.10439	+	0.637622i
$668$	−5.65934	+	22.3989i	−0.218966	+	0.866638i
$669$	2.07807	+	1.19977i	0.0803427	+	0.0463859i
$670$	5.28783	−	4.11797i	0.204287	−	0.159091i
$671$	8.73935			0.337379
$672$	7.47697	−	4.37453i	0.288431	−	0.168751i
$673$	28.0769			1.08228			0.541142	−	0.840931i	$-0.317992\pi$
$673$	28.0769			1.08228			0.541142	+	0.840931i	$0.317992\pi$
$674$	−15.5433	+	12.1045i	−0.598704	+	0.466249i
$675$	−2.83960	−	1.63944i	−0.109296	−	0.0631022i
$676$	3.37334	−	13.3512i	0.129744	−	0.513509i
$677$	−0.658362	+	0.380105i	−0.0253029	+	0.0146086i	−0.512598	−	0.858629i	$-0.671317\pi$
$677$	−0.658362	+	0.380105i	−0.0253029	+	0.0146086i	0.487295	+	0.873237i	$0.337984\pi$
$678$	−12.1294	+	1.68529i	−0.465827	+	0.0647231i
$679$	−12.2277	+	14.9818i	−0.469255	+	0.574948i
$680$	7.44898	−	3.27460i	0.285656	−	0.125575i
$681$	−3.98801	−	6.90744i	−0.152821	−	0.264694i
$682$	−10.4491	+	25.7461i	−0.400116	+	0.985868i
$683$	−24.5753	−	14.1885i	−0.940347	−	0.542910i	−0.0502779	−	0.998735i	$-0.516011\pi$
$683$	−24.5753	−	14.1885i	−0.940347	−	0.542910i	−0.890069	+	0.455826i	$0.849344\pi$
$684$	−10.6169	+	10.9254i	−0.405948	+	0.417742i
$685$			3.58168i			0.136849i
$686$	25.7737	−	4.66026i	0.984043	−	0.177930i
$687$	11.3915			0.434614
$688$	3.96914	−	7.35323i	0.151322	−	0.280339i
$689$	−11.4550	+	19.8407i	−0.436402	+	0.755871i
$690$	−5.87114	−	2.38281i	−0.223510	−	0.0907120i
$691$	−37.0739	+	21.4047i	−1.41036	+	0.814271i	−0.995422	−	0.0955785i	$-0.969530\pi$
$691$	−37.0739	+	21.4047i	−1.41036	+	0.814271i	−0.414937	+	0.909850i	$0.636197\pi$
$692$	10.3014	+	36.3550i	0.391599	+	1.38201i
$693$	13.6498	+	11.1406i	0.518512	+	0.423195i
$694$	14.8025	−	2.05669i	0.561895	−	0.0780709i
$695$	5.39780	+	9.34926i	0.204750	+	0.354638i
$696$	−6.92361	−	0.760647i	−0.262439	−	0.0288322i
$697$	−1.44276	+	2.49893i	−0.0546484	+	0.0946538i
$698$	−13.4748	−	17.3029i	−0.510030	−	0.654923i
$699$			15.0276i			0.568397i
$700$	−5.25643	+	0.608190i	−0.198675	+	0.0229874i
$701$		−	34.7638i		−	1.31301i	−0.754322	−	0.656505i	$-0.772034\pi$
$701$		−	34.7638i		−	1.31301i	0.754322	−	0.656505i	$-0.227966\pi$
$702$	9.04667	−	7.04522i	0.341445	−	0.265905i
$703$	16.6605	−	28.8569i	0.628363	−	1.08836i
$704$	19.0695	−	5.99829i	0.718707	−	0.226069i
$705$	3.10758	+	5.38248i	0.117038	+	0.202716i
$706$	6.87799	+	49.5025i	0.258857	+	1.86305i
$707$	40.3381	−	15.3066i	1.51707	−	0.575665i
$708$	−3.09974	+	0.878327i	−0.116496	+	0.0330095i
$709$	−31.4278	+	18.1448i	−1.18029	+	0.681443i	−0.956083	−	0.293097i	$-0.905314\pi$
$709$	−31.4278	+	18.1448i	−1.18029	+	0.681443i	−0.224212	+	0.974540i	$0.571981\pi$
$710$	−0.318668	+	0.785184i	−0.0119594	+	0.0294674i
$711$	−5.10250	+	8.83779i	−0.191359	+	0.331443i
$712$	19.9392	−	27.1742i	0.747252	−	1.01839i
$713$	−60.8640			−2.27937
$714$	2.99097	+	5.46542i	0.111934	+	0.204538i
$715$			6.17902i			0.231082i
$716$	−9.69367	+	9.97529i	−0.362269	+	0.372794i
$717$	−11.4448	−	6.60763i	−0.427412	−	0.246766i
$718$	−3.98388	−	1.61686i	−0.148677	−	0.0603407i
$719$	16.5474	+	28.6610i	0.617115	+	1.06888i	0.990009	+	0.141001i	$0.0450322\pi$
$719$	16.5474	+	28.6610i	0.617115	+	1.06888i	−0.372894	+	0.927874i	$0.621634\pi$
$720$	5.59211	+	9.07542i	0.208406	+	0.338221i
$721$	23.4213	+	3.80195i	0.872255	+	0.141592i
$722$	−2.10790	−	15.1710i	−0.0784478	−	0.564607i
$723$	−11.7385	+	6.77725i	−0.436561	+	0.252048i
$724$	34.9011	+	8.81818i	1.29709	+	0.327725i
$725$	3.68465	+	2.12734i	0.136845	+	0.0790073i
$726$	2.39189	+	3.07140i	0.0887714	+	0.113990i
$727$	38.3285			1.42152			0.710762	−	0.703432i	$-0.248350\pi$
$727$	38.3285			1.42152			0.710762	+	0.703432i	$0.248350\pi$
$728$	4.94196	−	17.8324i	0.183161	−	0.660913i
$729$	10.5555			0.390943
$730$	−3.56892	−	4.58280i	−0.132092	−	0.169617i
$731$	5.20465	+	3.00490i	0.192501	+	0.111140i
$732$	−0.991749	+	3.92521i	−0.0366561	+	0.145080i
$733$	−21.1273	+	12.1978i	−0.780354	+	0.450537i	−0.836556	−	0.547882i	$-0.815434\pi$
$733$	−21.1273	+	12.1978i	−0.780354	+	0.450537i	0.0562020	+	0.998419i	$0.482101\pi$
$734$	−0.748665	−	5.38832i	−0.0276337	−	0.198886i
$735$	−0.811869	−	3.96941i	−0.0299462	−	0.146414i
$736$	27.8832	+	33.7640i	1.02779	+	1.24456i
$737$	5.92113	+	10.2557i	0.218108	+	0.377774i
$738$	−3.50273	−	1.42159i	−0.128937	−	0.0523294i
$739$	33.7414	+	19.4806i	1.24120	+	0.716606i	0.969338	−	0.245731i	$-0.0790279\pi$
$739$	33.7414	+	19.4806i	1.24120	+	0.716606i	0.271860	+	0.962337i	$0.412361\pi$
$740$	−16.7212	−	16.2491i	−0.614684	−	0.597330i
$741$		−	4.09079i		−	0.150279i
$742$	18.0150	−	29.6177i	0.661352	−	1.08730i
$743$	25.4294			0.932913			0.466457	−	0.884544i	$-0.345530\pi$
$743$	25.4294			0.932913			0.466457	+	0.884544i	$0.345530\pi$
$744$	−10.3779	−	7.61481i	−0.380471	−	0.279172i
$745$	6.18401	−	10.7110i	0.226565	−	0.392421i
$746$	−4.84331	+	11.9337i	−0.177326	+	0.436924i
$747$	39.8919	−	23.0316i	1.45957	−	0.842682i
$748$	3.91962	+	13.8329i	0.143315	+	0.505781i
$749$	2.20245	−	13.5678i	0.0804757	−	0.495757i
$750$	0.112648	+	0.810756i	0.00411333	+	0.0296046i
$751$	−19.2374	−	33.3202i	−0.701983	−	1.21587i	−0.967769	−	0.251838i	$-0.918965\pi$
$751$	−19.2374	−	33.3202i	−0.701983	−	1.21587i	0.265786	−	0.964032i	$-0.414368\pi$
$752$	−1.22975	−	42.9345i	−0.0448442	−	1.56566i
$753$	5.36251	−	9.28815i	0.195421	−	0.338479i
$754$	−11.7389	+	9.14185i	−0.427507	+	0.332927i
$755$		−	9.51448i		−	0.346268i
$756$	−13.9291	+	10.3446i	−0.506596	+	0.376231i
$757$		−	48.0953i		−	1.74805i	−0.485878	−	0.874027i	$-0.661500\pi$
$757$		−	48.0953i		−	1.74805i	0.485878	−	0.874027i	$-0.338500\pi$
$758$	1.74708	+	2.24340i	0.0634569	+	0.0814841i
$759$	5.59787	−	9.69580i	0.203190	−	0.351935i
$760$	8.03591	+	0.882847i	0.291493	+	0.0320242i
$761$	4.12784	+	7.14963i	0.149634	+	0.259174i	0.931092	−	0.364784i	$-0.118857\pi$
$761$	4.12784	+	7.14963i	0.149634	+	0.259174i	−0.781458	+	0.623958i	$0.785524\pi$
$762$	−1.20895	+	0.167974i	−0.0437956	+	0.00608506i
$763$	5.57560	−	2.11571i	0.201850	−	0.0765938i
$764$	−4.77890	+	1.35412i	−0.172895	+	0.0489905i
$765$	−6.63964	+	3.83340i	−0.240057	+	0.138597i
$766$	2.54086	+	1.03121i	0.0918051	+	0.0372592i
$767$	−3.44107	+	5.96010i	−0.124250	+	0.215207i
$768$	0.530065	+	9.24559i	0.0191271	+	0.333621i
$769$	−24.4769			−0.882660			−0.441330	−	0.897345i	$-0.645493\pi$
$769$	−24.4769			−0.882660			−0.441330	+	0.897345i	$0.645493\pi$
$770$	0.213779	−	9.34730i	0.00770407	−	0.336853i
$771$		−	7.36964i		−	0.265411i
$772$	24.7424	+	24.0438i	0.890497	+	0.865356i
$773$	12.4885	+	7.21025i	0.449181	+	0.259335i	0.707484	−	0.706729i	$-0.249830\pi$
$773$	12.4885	+	7.21025i	0.449181	+	0.259335i	−0.258303	+	0.966064i	$0.583163\pi$
$774$	−2.96081	+	7.29531i	−0.106424	+	0.262224i
$775$	3.93134	+	6.80927i	0.141218	+	0.244596i
$776$	−8.31974	−	18.9255i	−0.298661	−	0.679387i
$777$	11.2882	−	13.8307i	0.404962	−	0.496173i
$778$	−18.2024	+	2.52909i	−0.652589	+	0.0906721i
$779$	−2.48274	+	1.43341i	−0.0889535	+	0.0513573i
$780$	−2.77526	−	0.701202i	−0.0993702	−	0.0251070i
$781$	−1.29668	−	0.748638i	−0.0463988	−	0.0267884i
$782$	−24.8477	+	19.3505i	−0.888553	+	0.691973i
$783$	13.9506			0.498553
$784$	−8.09290	+	26.8049i	−0.289032	+	0.957319i
$785$	3.00020			0.107082
$786$	6.36141	−	4.95403i	0.226904	−	0.176704i
$787$	−9.40918	−	5.43239i	−0.335401	−	0.193644i	0.322836	−	0.946455i	$-0.395364\pi$
$787$	−9.40918	−	5.43239i	−0.335401	−	0.193644i	−0.658236	+	0.752811i	$0.728697\pi$
$788$	21.5166	+	5.43642i	0.766497	+	0.193664i
$789$	3.48700	−	2.01322i	0.124140	−	0.0716725i
$790$	5.36389	−	0.745271i	0.190839	−	0.0265156i
$791$	25.0279	−	30.6650i	0.889890	−	1.09032i
$792$	−17.2429	+	7.58005i	−0.612700	+	0.269345i
$793$	4.32412	+	7.48959i	0.153554	+	0.265963i
$794$	6.60296	−	16.2694i	0.234330	−	0.577379i
$795$	−4.64409	−	2.68126i	−0.164709	−	0.0950947i
$796$	−15.8451	−	15.3977i	−0.561614	−	0.545758i
$797$		−	26.6793i		−	0.945029i	−0.881323	−	0.472515i	$-0.843346\pi$
$797$		−	26.6793i		−	0.945029i	0.881323	−	0.472515i	$-0.156654\pi$
$798$	−0.141531	+	6.18832i	−0.00501015	+	0.219064i
$799$	30.8918			1.09287
$800$	1.97637	−	5.30037i	0.0698754	−	0.187396i
$801$	−15.8786	+	27.5025i	−0.561042	+	0.971752i
$802$	17.9420	+	7.28180i	0.633555	+	0.257129i
$803$	8.88831	−	5.13167i	0.313662	−	0.181093i
$804$	−5.27820	+	1.49560i	−0.186148	+	0.0527458i
$805$	19.1482	−	7.26595i	0.674886	−	0.256091i
$806$	−27.2344	+	3.78400i	−0.959290	+	0.133286i
$807$	−6.65983	−	11.5352i	−0.234437	−	0.406057i
$808$	−5.03694	+	45.8476i	−0.177199	+	1.61291i
$809$	21.1077	−	36.5596i	0.742107	−	1.28537i	−0.209427	−	0.977824i	$-0.567160\pi$
$809$	21.1077	−	36.5596i	0.742107	−	1.28537i	0.951534	−	0.307543i	$-0.0995067\pi$
$810$	−5.29800	−	6.80309i	−0.186153	−	0.239036i
$811$		−	48.9619i		−	1.71928i	−0.510897	−	0.859642i	$-0.670687\pi$
$811$		−	48.9619i		−	1.71928i	0.510897	−	0.859642i	$-0.329313\pi$
$812$	18.0743	−	13.4232i	0.634284	−	0.471061i
$813$		−	3.25733i		−	0.114240i
$814$	32.5040	−	25.3129i	1.13927	−	0.887218i
$815$	9.16894	−	15.8811i	0.321174	−	0.556289i
$816$	−6.65774	+	0.190693i	−0.233068	+	0.00667560i
$817$	2.98544	+	5.17093i	0.104447	+	0.180908i
$818$	3.53227	+	25.4226i	0.123503	+	0.888881i
$819$	−2.79368	+	17.2100i	−0.0976191	+	0.601367i
$820$	0.546884	+	1.93004i	0.0190980	+	0.0673998i
$821$	2.69556	−	1.55628i	0.0940758	−	0.0543147i	−0.452224	−	0.891904i	$-0.649369\pi$
$821$	2.69556	−	1.55628i	0.0940758	−	0.0543147i	0.546300	+	0.837590i	$0.316036\pi$
$822$	1.10252	−	2.71656i	0.0384547	−	0.0947508i
$823$	2.27487	−	3.94018i	0.0792968	−	0.137346i	−0.823650	−	0.567099i	$-0.808066\pi$
$823$	2.27487	−	3.94018i	0.0792968	−	0.137346i	0.902947	+	0.429752i	$0.141399\pi$
$824$	−15.0062	+	20.4513i	−0.522767	+	0.712455i
$825$	−1.44632			−0.0503542
$826$	5.41167	−	8.89708i	0.188296	−	0.309569i
$827$		−	13.7292i		−	0.477411i	−0.971092	−	0.238706i	$-0.923277\pi$
$827$		−	13.7292i		−	0.477411i	0.971092	−	0.238706i	$-0.0767231\pi$
$828$	−29.5890	−	28.7537i	−1.02829	−	0.999259i
$829$	6.34829	+	3.66518i	0.220485	+	0.127297i	0.606175	−	0.795331i	$-0.292703\pi$
$829$	6.34829	+	3.66518i	0.220485	+	0.127297i	−0.385690	+	0.922629i	$0.626036\pi$
$830$	−22.6497	−	9.19243i	−0.786184	−	0.319074i
$831$	6.10068	+	10.5667i	0.211630	+	0.366554i
$832$	14.5758	+	13.3746i	0.505326	+	0.463680i
$833$	−19.1039	−	6.37009i	−0.661912	−	0.220711i
$834$	−1.21610	−	8.75259i	−0.0421103	−	0.303078i
$835$	−10.0038	+	5.77569i	−0.346195	+	0.199876i
$836$	−3.49915	+	13.8492i	−0.121021	+	0.478983i
$837$	22.3268	+	12.8904i	0.771729	+	0.445558i
$838$	4.44653	+	5.70973i	0.153603	+	0.197239i
$839$	−30.2291			−1.04363			−0.521813	−	0.853060i	$-0.674744\pi$
$839$	−30.2291			−1.04363			−0.521813	+	0.853060i	$0.674744\pi$
$840$	4.17401	+	1.15676i	0.144017	+	0.0399119i
$841$	10.8978			0.375785
$842$	16.2286	+	20.8389i	0.559275	+	0.718158i
$843$	−0.00189095	−	0.00109174i	−6.51276e−5	−	3.76015e-5i
$844$	−32.9144	−	8.31621i	−1.13296	−	0.286256i
$845$	5.96293	−	3.44270i	0.205131	−	0.118432i
$846$	5.56952	+	40.0852i	0.191484	+	1.37816i
$847$	−12.4203	−	2.01617i	−0.426766	−	0.0692764i
$848$	19.4412	+	31.5510i	0.667613	+	1.08347i
$849$	8.94604	+	15.4950i	0.307027	+	0.531787i
$850$	3.76984	+	1.53000i	0.129305	+	0.0524784i
$851$	78.1527	+	45.1215i	2.67904	+	1.54674i
$852$	0.483393	−	0.497437i	0.0165608	−	0.0170419i
$853$			19.9857i			0.684297i	0.939646	+	0.342148i	$0.111155\pi$
$853$			19.9857i			0.684297i	−0.939646	+	0.342148i	$0.888845\pi$
$854$	−6.28217	−	11.4795i	−0.214972	−	0.392819i
$855$	−7.61713			−0.260500
$856$	11.8473	+	8.69302i	0.404933	+	0.297121i
$857$	−15.2537	+	26.4201i	−0.521056	+	0.902495i	0.478644	+	0.878009i	$0.341128\pi$
$857$	−15.2537	+	26.4201i	−0.521056	+	0.902495i	−0.999700	+	0.0244861i	$0.992205\pi$
$858$	1.90204	−	4.68654i	0.0649345	−	0.159996i
$859$	40.6703	−	23.4810i	1.38765	−	0.801162i	0.394603	−	0.918852i	$-0.370882\pi$
$859$	40.6703	−	23.4810i	1.38765	−	0.801162i	0.993050	+	0.117690i	$0.0375489\pi$
$860$	4.01978	−	1.13902i	0.137073	−	0.0388404i
$861$	−1.43605	+	0.544923i	−0.0489406	+	0.0185709i
$862$	4.64239	+	33.4124i	0.158120	+	1.13803i
$863$	−10.8972	−	18.8745i	−0.370946	−	0.642497i	0.618766	−	0.785576i	$-0.287633\pi$
$863$	−10.8972	−	18.8745i	−0.370946	−	0.642497i	−0.989711	+	0.143079i	$0.954300\pi$
$864$	−3.07755	−	18.2911i	−0.104700	−	0.622275i
$865$	−9.44657	+	16.3619i	−0.321193	+	0.556323i
$866$	−5.99190	+	4.66627i	−0.203613	+	0.158566i
$867$			5.04926i			0.171482i
$868$	41.3296	−	4.78200i	1.40282	−	0.162312i
$869$			9.56870i			0.324596i
$870$	−2.13982	−	2.74771i	−0.0725467	−	0.0931562i
$871$	−5.85940	+	10.1488i	−0.198538	+	0.343878i
$872$	−0.696215	+	6.33714i	−0.0235768	+	0.214603i
$873$	9.73947	+	16.8693i	0.329631	+	0.570938i
$874$	−30.9919	+	4.30609i	−1.04832	+	0.145656i
$875$	−2.04972	−	1.67292i	−0.0692931	−	0.0565550i
$876$	1.29619	+	4.57446i	0.0437943	+	0.154557i
$877$	32.6867	−	18.8717i	1.10375	−	0.637251i	0.166547	−	0.986033i	$-0.446738\pi$
$877$	32.6867	−	18.8717i	1.10375	−	0.637251i	0.937204	+	0.348783i	$0.113405\pi$
$878$	−52.6563	−	21.3706i	−1.77706	−	0.721223i
$879$	6.25246	−	10.8296i	0.210890	−	0.365273i
$880$	8.79572	+	4.74777i	0.296504	+	0.160047i
$881$	42.6207			1.43593			0.717964	−	0.696080i	$-0.245074\pi$
$881$	42.6207			1.43593			0.717964	+	0.696080i	$0.245074\pi$
$882$	4.82156	−	25.9377i	0.162350	−	0.873369i
$883$		−	32.3055i		−	1.08717i	−0.839355	−	0.543584i	$-0.817067\pi$
$883$		−	32.3055i		−	1.08717i	0.839355	−	0.543584i	$-0.182933\pi$
$884$	−9.91538	+	10.2034i	−0.333490	+	0.343179i
$885$	−1.39507	−	0.805445i	−0.0468948	−	0.0270747i
$886$	10.5742	−	26.0543i	0.355246	−	0.875310i
$887$	−3.08548	−	5.34421i	−0.103600	−	0.179441i	0.809565	−	0.587030i	$-0.199703\pi$
$887$	−3.08548	−	5.34421i	−0.103600	−	0.179441i	−0.913165	+	0.407589i	$0.866370\pi$
$888$	7.68052	+	17.4715i	0.257741	+	0.586304i
$889$	2.49455	−	3.05641i	0.0836647	−	0.102509i
$890$	16.6920	−	2.31922i	0.559517	−	0.0777405i
$891$	13.1945	−	7.61787i	0.442034	−	0.255208i
$892$	2.03111	−	8.03885i	0.0680066	−	0.269161i
$893$	26.5798	+	15.3458i	0.889457	+	0.513529i
$894$	−7.98740	+	6.22030i	−0.267139	+	0.208038i
$895$	−6.95474			−0.232471
$896$	−21.5868	−	20.7366i	−0.721165	−	0.692763i
$897$	11.0790			0.369918
$898$	25.9156	−	20.1821i	0.864813	−	0.673485i
$899$	−28.9712	−	16.7265i	−0.966244	−	0.557862i
$900$	−1.30565	+	5.16759i	−0.0435217	+	0.172253i
$901$	−23.0830	+	13.3269i	−0.769005	+	0.443985i
$902$	−3.51079	+	0.487796i	−0.116896	+	0.0162418i
$903$	1.13494	+	2.99094i	0.0377684	+	0.0995323i
$904$	17.0290	+	38.7372i	0.566377	+	1.28838i
$905$	8.99948	+	15.5876i	0.299153	+	0.518148i
$906$	−2.92876	+	7.21635i	−0.0973017	+	0.239747i
$907$	−13.2168	−	7.63070i	−0.438855	−	0.253373i	0.264257	−	0.964452i	$-0.414873\pi$
$907$	−13.2168	−	7.63070i	−0.438855	−	0.253373i	−0.703112	+	0.711079i	$0.748207\pi$
$908$	−19.2073	+	19.7653i	−0.637417	+	0.655935i
$909$		−	43.4583i		−	1.44142i
$910$	8.11638	−	4.44172i	0.269055	−	0.147241i
$911$	10.5045			0.348031			0.174015	−	0.984743i	$-0.444326\pi$
$911$	10.5045			0.348031			0.174015	+	0.984743i	$0.444326\pi$
$912$	−5.82315	−	3.14323i	−0.192824	−	0.104083i
$913$	21.5955	−	37.4046i	0.714708	−	1.23791i
$914$	40.5238	+	16.4467i	1.34041	+	0.544007i
$915$	−1.75308	+	1.01214i	−0.0579549	+	0.0334603i
$916$	−10.7311	−	37.8717i	−0.354566	−	1.25132i
$917$	−4.17584	+	25.7246i	−0.137898	+	0.849501i
$918$	13.2132	−	1.83587i	0.436100	−	0.0605927i
$919$	−15.7831	−	27.3371i	−0.520635	−	0.901767i	−0.999712	−	0.0239937i	$-0.992362\pi$
$919$	−15.7831	−	27.3371i	−0.520635	−	0.901767i	0.479077	−	0.877773i	$-0.340971\pi$
$920$	−2.39100	+	21.7636i	−0.0788290	+	0.717523i
$921$	−7.74564	+	13.4158i	−0.255227	+	0.442067i
$922$	−30.0813	−	38.6270i	−0.990675	−	1.27211i
$923$		−	1.48167i		−	0.0487696i
$924$	−3.03945	+	7.02374i	−0.0999904	+	0.231064i
$925$		−	11.6580i		−	0.383312i
$926$	−3.15674	+	2.45836i	−0.103737	+	0.0807866i
$927$	11.9502	−	20.6984i	0.392497	−	0.679825i
$928$	3.99342	+	23.7344i	0.131090	+	0.779121i
$929$	8.64508	+	14.9737i	0.283636	+	0.491272i	0.972277	−	0.233830i	$-0.0751260\pi$
$929$	8.64508	+	14.9737i	0.283636	+	0.491272i	−0.688642	+	0.725102i	$0.741793\pi$
$930$	−0.885716	−	6.37471i	−0.0290438	−	0.209035i
$931$	−13.2729	−	14.9710i	−0.435002	−	0.490655i
$932$	49.9601	−	14.1564i	1.63650	−	0.463709i
$933$	−6.97026	+	4.02428i	−0.228196	+	0.131749i
$934$	−2.43378	+	5.99673i	−0.0796357	+	0.196219i
$935$	−3.59438	+	6.22565i	−0.117549	+	0.203600i
$936$	−15.0277	−	11.0266i	−0.491194	−	0.360416i
$937$	29.2886			0.956815			0.478408	−	0.878138i	$-0.341214\pi$
$937$	29.2886			0.956815			0.478408	+	0.878138i	$0.341214\pi$
$938$	9.21492	−	15.1498i	0.300878	−	0.494659i
$939$		−	5.77179i		−	0.188355i
$940$	14.9669	−	15.4017i	0.488167	−	0.502349i
$941$	−40.9160	−	23.6229i	−1.33382	−	0.770084i	−0.347941	−	0.937516i	$-0.613119\pi$
$941$	−40.9160	−	23.6229i	−1.33382	−	0.770084i	−0.985884	+	0.167432i	$0.946452\pi$
$942$	−2.27553	−	0.923527i	−0.0741408	−	0.0300901i
$943$	−3.88209	−	6.72398i	−0.126418	−	0.218963i
$944$	5.84008	+	9.47785i	0.190078	+	0.308478i
$945$	−8.56303	−	1.39003i	−0.278555	−	0.0452176i
$946$	1.01596	+	7.31209i	0.0330316	+	0.237736i
$947$	−31.3533	+	18.1018i	−1.01885	+	0.588231i	−0.913769	−	0.406234i	$-0.866842\pi$
$947$	−31.3533	+	18.1018i	−1.01885	+	0.588231i	−0.105076	+	0.994464i	$0.533509\pi$
$948$	−4.29770	−	1.08586i	−0.139583	−	0.0352673i
$949$	8.79564	+	5.07817i	0.285519	+	0.164844i
$950$	2.48359	+	3.18914i	0.0805782	+	0.103469i
$951$	−2.61562			−0.0848174
$952$	15.3525	−	15.0922i	0.497577	−	0.489141i
$953$	15.2270			0.493252			0.246626	−	0.969111i	$-0.420678\pi$
$953$	15.2270			0.493252			0.246626	+	0.969111i	$0.420678\pi$
$954$	−21.4547	−	27.5497i	−0.694622	−	0.891955i
$955$	−2.15080	−	1.24176i	−0.0695981	−	0.0401825i
$956$	−11.1861	+	44.2732i	−0.361786	+	1.43190i
$957$	5.32917	−	3.07680i	0.172268	−	0.0994587i
$958$	−5.77189	−	41.5417i	−0.186481	−	1.34215i
$959$	3.36193	+	8.85982i	0.108562	+	0.286098i
$960$	−3.13057	+	3.41175i	−0.101039	+	0.110114i
$961$	−15.4108	−	26.6923i	−0.497123	−	0.861042i
$962$	37.7757	+	15.3313i	1.21794	+	0.494301i
$963$	−11.9905	−	6.92269i	−0.386387	−	0.223081i
$964$	33.5893	+	32.6410i	1.08184	+	1.05130i
$965$			17.2503i			0.555307i
$966$	−16.7598	−	0.383307i	−0.539236	−	0.0123327i
$967$	9.12599			0.293472			0.146736	−	0.989176i	$-0.453123\pi$
$967$	9.12599			0.293472			0.146736	+	0.989176i	$0.453123\pi$
$968$	7.95778	−	10.8453i	0.255773	−	0.348581i
$969$	2.37964	−	4.12165i	0.0764449	−	0.132407i
$970$	3.88724	−	9.57799i	0.124812	−	0.307531i
$971$	−10.6080	+	6.12455i	−0.340428	+	0.196546i	−0.660461	−	0.750860i	$-0.729639\pi$
$971$	−10.6080	+	6.12455i	−0.340428	+	0.196546i	0.320033	+	0.947406i	$0.396306\pi$
$972$	7.28755	+	25.7188i	0.233748	+	0.824932i
$973$	22.1279	+	18.0602i	0.709389	+	0.578982i
$974$	5.08469	+	36.5957i	0.162924	+	1.17260i
$975$	−0.715618	−	1.23949i	−0.0229181	−	0.0396953i
$976$	13.9838	−	0.400529i	0.447611	−	0.0128206i
$977$	−18.0331	+	31.2343i	−0.576931	+	0.999274i	0.418898	+	0.908033i	$0.362417\pi$
$977$	−18.0331	+	31.2343i	−0.576931	+	0.999274i	−0.995829	+	0.0912407i	$0.970917\pi$
$978$	−11.8428	+	9.22274i	−0.378691	+	0.294911i
$979$			29.7770i			0.951677i
$980$	−12.4317	+	6.43839i	−0.397116	+	0.205667i
$981$		−	6.00689i		−	0.191785i
$982$	−1.22548	−	1.57362i	−0.0391067	−	0.0502163i
$983$	−4.57786	+	7.92909i	−0.146011	+	0.252899i	−0.929750	−	0.368192i	$-0.879977\pi$
$983$	−4.57786	+	7.92909i	−0.146011	+	0.252899i	0.783739	+	0.621091i	$0.213310\pi$
$984$	0.179317	−	1.63220i	0.00571643	−	0.0520325i
$985$	5.54819	+	9.60974i	0.176780	+	0.306192i
$986$	−17.1454	+	2.38222i	−0.546020	+	0.0758652i
$987$	12.7393	+	10.3975i	0.405497	+	0.330955i
$988$	−13.6000	+	3.85363i	−0.432674	+	0.122600i
$989$	−14.0044	+	8.08542i	−0.445313	+	0.257101i
$990$	−8.72644	−	3.54164i	−0.277344	−	0.112561i
$991$	−11.2039	+	19.4057i	−0.355903	+	0.616441i	−0.987272	−	0.159041i	$-0.949160\pi$
$991$	−11.2039	+	19.4057i	−0.355903	+	0.616441i	0.631369	+	0.775482i	$0.282493\pi$
$992$	−15.5396	+	41.6751i	−0.493382	+	1.32319i
$993$	4.49321			0.142588
$994$	−0.0512620	+	2.24139i	−0.00162593	+	0.0710925i
$995$		−	11.0471i		−	0.350218i
$996$	14.3493	+	13.9442i	0.454674	+	0.441838i
$997$	−45.2441	−	26.1217i	−1.43290	−	0.827283i	−0.435555	−	0.900162i	$-0.643448\pi$
$997$	−45.2441	−	26.1217i	−1.43290	−	0.827283i	−0.997341	+	0.0728793i	$0.976781\pi$
$998$	11.9519	−	29.4491i	0.378332	−	0.932194i
$999$	−19.1126	−	33.1040i	−0.604695	−	1.04736i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.bl.b.221.5	✓	60
4.3	odd	2		1120.2.cb.b.81.13		60
7.2	even	3	inner	280.2.bl.b.261.27	yes	60
8.3	odd	2		1120.2.cb.b.81.18		60
8.5	even	2	inner	280.2.bl.b.221.27	yes	60
28.23	odd	6		1120.2.cb.b.401.18		60
56.37	even	6	inner	280.2.bl.b.261.5	yes	60
56.51	odd	6		1120.2.cb.b.401.13		60

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.bl.b.221.5	✓	60	1.1	even	1	trivial
280.2.bl.b.221.27	yes	60	8.5	even	2	inner
280.2.bl.b.261.5	yes	60	56.37	even	6	inner
280.2.bl.b.261.27	yes	60	7.2	even	3	inner
1120.2.cb.b.81.13		60	4.3	odd	2
1120.2.cb.b.81.18		60	8.3	odd	2
1120.2.cb.b.401.13		60	56.51	odd	6
1120.2.cb.b.401.18		60	28.23	odd	6

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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.bl (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.11578 + 0.868928i) q^{2} +(0.501254 + 0.289399i) q^{3} +(0.489927 - 1.93906i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.810756 + 0.112648i) q^{6} +(1.67292 - 2.04972i) q^{7} +(1.13826 + 2.58928i) q^{8} +(-1.33250 - 2.30795i) q^{9} +O(q^{10})\)	\(q+(-1.11578 + 0.868928i) q^{2} +(0.501254 + 0.289399i) q^{3} +(0.489927 - 1.93906i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.810756 + 0.112648i) q^{6} +(1.67292 - 2.04972i) q^{7} +(1.13826 + 2.58928i) q^{8} +(-1.33250 - 2.30795i) q^{9} +(-0.531829 + 1.31040i) q^{10} +(-2.16405 - 1.24941i) q^{11} +(0.806741 - 0.830179i) q^{12} -2.47277i q^{13} +(-0.0855519 + 3.74068i) q^{14} +0.578798 q^{15} +(-3.51994 - 1.90000i) q^{16} +(1.43843 - 2.49143i) q^{17} +(3.49222 + 1.41732i) q^{18} +(2.47529 - 1.42911i) q^{19} +(-0.545243 - 1.92424i) q^{20} +(1.43174 - 0.543287i) q^{21} +(3.50025 - 0.486332i) q^{22} +(3.87044 + 6.70380i) q^{23} +(-0.178779 + 1.62730i) q^{24} +(0.500000 - 0.866025i) q^{25} +(2.14866 + 2.75907i) q^{26} -3.27889i q^{27} +(-3.15492 - 4.24811i) q^{28} +4.25467i q^{29} +(-0.645811 + 0.502934i) q^{30} +(-3.93134 + 6.80927i) q^{31} +(5.57844 - 0.938596i) q^{32} +(-0.723158 - 1.25255i) q^{33} +(0.559906 + 4.02978i) q^{34} +(0.423932 - 2.61157i) q^{35} +(-5.12809 + 1.45307i) q^{36} +(10.0961 - 5.82899i) q^{37} +(-1.52008 + 3.74542i) q^{38} +(0.715618 - 1.23949i) q^{39} +(2.28040 + 1.67325i) q^{40} -1.00301 q^{41} +(-1.12543 + 1.85027i) q^{42} +2.08902i q^{43} +(-3.48292 + 3.58410i) q^{44} +(-2.30795 - 1.33250i) q^{45} +(-10.1437 - 4.11682i) q^{46} +(5.36902 + 9.29941i) q^{47} +(-1.21453 - 1.97105i) q^{48} +(-1.40268 - 6.85802i) q^{49} +(0.194624 + 1.40076i) q^{50} +(1.44204 - 0.832559i) q^{51} +(-4.79487 - 1.21148i) q^{52} +(-8.02367 - 4.63247i) q^{53} +(2.84912 + 3.65851i) q^{54} -2.49882 q^{55} +(7.21150 + 1.99855i) q^{56} +1.65433 q^{57} +(-3.69700 - 4.74727i) q^{58} +(-2.41029 - 1.39158i) q^{59} +(0.283569 - 1.12233i) q^{60} +(-3.02882 + 1.74869i) q^{61} +(-1.53027 - 11.0137i) q^{62} +(-6.95981 - 1.12978i) q^{63} +(-5.40874 + 5.89453i) q^{64} +(-1.23639 - 2.14148i) q^{65} +(1.89526 + 0.769192i) q^{66} +(-4.10421 - 2.36957i) q^{67} +(-4.12632 - 4.00982i) q^{68} +4.48041i q^{69} +(1.79625 + 3.28230i) q^{70} +0.599192 q^{71} +(4.45921 - 6.07725i) q^{72} +(-2.05363 + 3.55700i) q^{73} +(-6.20005 + 15.2766i) q^{74} +(0.501254 - 0.289399i) q^{75} +(-1.55842 - 5.49991i) q^{76} +(-6.18122 + 2.34551i) q^{77} +(0.278553 + 2.00481i) q^{78} +(-1.91464 - 3.31625i) q^{79} +(-3.99836 + 0.114522i) q^{80} +(-3.04858 + 5.28030i) q^{81} +(1.11914 - 0.871544i) q^{82} +17.2846i q^{83} +(-0.352019 - 3.04241i) q^{84} -2.87686i q^{85} +(-1.81521 - 2.33089i) q^{86} +(-1.23130 + 2.13267i) q^{87} +(0.771837 - 7.02547i) q^{88} +(-5.95820 - 10.3199i) q^{89} +(3.73301 - 0.518672i) q^{90} +(-5.06848 - 4.13675i) q^{91} +(14.8953 - 4.22066i) q^{92} +(-3.94120 + 2.27545i) q^{93} +(-14.0712 - 5.71080i) q^{94} +(1.42911 - 2.47529i) q^{95} +(3.06785 + 1.14392i) q^{96} -7.30919 q^{97} +(7.52421 + 6.43321i) q^{98} +6.65935i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9}+O(q^{10}) \) 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9	\( 60 q + 4 q^{2} - 2 q^{4} + 8 q^{7} + 4 q^{8} + 38 q^{9} + 2 q^{10} - 10 q^{12} + 20 q^{14} - 22 q^{16} - 12 q^{17} + 6 q^{18} - 16 q^{20} - 28 q^{22} - 2 q^{23} - 32 q^{24} + 30 q^{25} - 4 q^{26} - 22 q^{28} - 6 q^{32} - 16 q^{34} + 20 q^{36} - 42 q^{38} + 4 q^{40} - 36 q^{41} - 62 q^{42} + 14 q^{44} + 28 q^{46} - 30 q^{47} + 124 q^{48} + 12 q^{49} + 8 q^{50} + 8 q^{52} - 40 q^{54} - 44 q^{55} + 8 q^{56} - 32 q^{57} - 14 q^{58} + 14 q^{60} - 16 q^{62} - 74 q^{63} + 4 q^{64} + 2 q^{65} + 60 q^{66} + 28 q^{68} + 10 q^{70} - 8 q^{71} - 72 q^{72} - 52 q^{74} - 12 q^{76} - 40 q^{78} + 32 q^{79} - 22 q^{81} - 16 q^{82} - 8 q^{84} - 44 q^{86} + 48 q^{87} - 16 q^{88} + 4 q^{89} - 48 q^{90} + 84 q^{92} - 56 q^{94} + 2 q^{95} - 16 q^{96} - 96 q^{97} - 80 q^{98}+O(q^{100}) \) 60 * q + 4 * q^2 - 2 * q^4 + 8 * q^7 + 4 * q^8 + 38 * q^9 + 2 * q^10 - 10 * q^12 + 20 * q^14 - 22 * q^16 - 12 * q^17 + 6 * q^18 - 16 * q^20 - 28 * q^22 - 2 * q^23 - 32 * q^24 + 30 * q^25 - 4 * q^26 - 22 * q^28 - 6 * q^32 - 16 * q^34 + 20 * q^36 - 42 * q^38 + 4 * q^40 - 36 * q^41 - 62 * q^42 + 14 * q^44 + 28 * q^46 - 30 * q^47 + 124 * q^48 + 12 * q^49 + 8 * q^50 + 8 * q^52 - 40 * q^54 - 44 * q^55 + 8 * q^56 - 32 * q^57 - 14 * q^58 + 14 * q^60 - 16 * q^62 - 74 * q^63 + 4 * q^64 + 2 * q^65 + 60 * q^66 + 28 * q^68 + 10 * q^70 - 8 * q^71 - 72 * q^72 - 52 * q^74 - 12 * q^76 - 40 * q^78 + 32 * q^79 - 22 * q^81 - 16 * q^82 - 8 * q^84 - 44 * q^86 + 48 * q^87 - 16 * q^88 + 4 * q^89 - 48 * q^90 + 84 * q^92 - 56 * q^94 + 2 * q^95 - 16 * q^96 - 96 * q^97 - 80 * q^98

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