LMFDB - Embedded newform 380.3.p.a.159.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [380,3,Mod(159,380)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(380, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 2]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("380.159");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 380 = 2^{2} \cdot 5 \cdot 19 $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	380.p (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:	$10.3542500457$
Analytic rank:	$0$
Dimension:	$232$
Relative dimension:	$116$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			159.7
Character	$\chi$	$=$	380.159
Dual form			380.3.p.a.239.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.97102 - 0.339262i) q^{2} +(-1.97599 - 3.42251i) q^{3} +(3.76980 + 1.33738i) q^{4} +(-0.693065 - 4.95173i) q^{5} +(2.73357 + 7.41619i) q^{6} -2.56913 q^{7} +(-6.97662 - 3.91494i) q^{8} +(-3.30904 + 5.73143i) q^{9} +O(q^{10})$	\(q+(-1.97102 - 0.339262i) q^{2} +(-1.97599 - 3.42251i) q^{3} +(3.76980 + 1.33738i) q^{4} +(-0.693065 - 4.95173i) q^{5} +(2.73357 + 7.41619i) q^{6} -2.56913 q^{7} +(-6.97662 - 3.91494i) q^{8} +(-3.30904 + 5.73143i) q^{9} +(-0.313891 + 9.99507i) q^{10} +17.7707i q^{11} +(-2.87189 - 15.5448i) q^{12} +(-4.58570 - 2.64756i) q^{13} +(5.06379 + 0.871606i) q^{14} +(-15.5779 + 12.1566i) q^{15} +(12.4228 + 10.0833i) q^{16} +(1.90065 - 1.09734i) q^{17} +(8.46662 - 10.1741i) q^{18} +(-15.3281 + 11.2272i) q^{19} +(4.00963 - 19.5940i) q^{20} +(5.07656 + 8.79286i) q^{21} +(6.02891 - 35.0263i) q^{22} +(-8.21652 + 14.2314i) q^{23} +(0.386770 + 31.6134i) q^{24} +(-24.0393 + 6.86374i) q^{25} +(8.14028 + 6.77413i) q^{26} -9.41328 q^{27} +(-9.68510 - 3.43590i) q^{28} +(24.5292 - 42.4859i) q^{29} +(34.8285 - 18.6758i) q^{30} -13.0380i q^{31} +(-21.0647 - 24.0890i) q^{32} +(60.8203 - 35.1146i) q^{33} +(-4.11851 + 1.51806i) q^{34} +(1.78057 + 12.7216i) q^{35} +(-20.1395 + 17.1809i) q^{36} +53.5256i q^{37} +(34.0209 - 16.9287i) q^{38} +20.9261i q^{39} +(-14.5505 + 37.2597i) q^{40} +(12.6985 + 21.9944i) q^{41} +(-7.02290 - 19.0531i) q^{42} +(36.7927 + 63.7268i) q^{43} +(-23.7661 + 66.9920i) q^{44} +(30.6739 + 12.4132i) q^{45} +(21.0231 - 25.2628i) q^{46} +(27.9634 - 48.4340i) q^{47} +(9.96288 - 62.4417i) q^{48} -42.3996 q^{49} +(49.7105 - 5.37293i) q^{50} +(-7.51133 - 4.33667i) q^{51} +(-13.7464 - 16.1136i) q^{52} +(38.6169 + 22.2955i) q^{53} +(18.5537 + 3.19356i) q^{54} +(87.9957 - 12.3162i) q^{55} +(17.9238 + 10.0580i) q^{56} +(68.7132 + 30.2759i) q^{57} +(-62.7613 + 75.4185i) q^{58} +(58.4823 - 33.7648i) q^{59} +(-74.9834 + 24.9944i) q^{60} +(-2.07481 + 3.59367i) q^{61} +(-4.42330 + 25.6981i) q^{62} +(8.50134 - 14.7248i) q^{63} +(33.3464 + 54.6262i) q^{64} +(-9.93181 + 24.5421i) q^{65} +(-131.791 + 48.5775i) q^{66} +(-51.0342 + 88.3938i) q^{67} +(8.63266 - 1.59487i) q^{68} +64.9429 q^{69} +(0.806426 - 25.6786i) q^{70} +(35.9292 - 20.7437i) q^{71} +(45.5241 - 27.0313i) q^{72} +(41.1613 - 23.7645i) q^{73} +(18.1592 - 105.500i) q^{74} +(70.9926 + 68.7121i) q^{75} +(-72.7989 + 21.8247i) q^{76} -45.6551i q^{77} +(7.09944 - 41.2457i) q^{78} +(-63.0816 + 36.4202i) q^{79} +(41.3201 - 68.5029i) q^{80} +(48.3819 + 83.7999i) q^{81} +(-17.5670 - 47.6593i) q^{82} -124.038 q^{83} +(7.37824 + 39.9366i) q^{84} +(-6.75103 - 8.65100i) q^{85} +(-50.8989 - 138.089i) q^{86} -193.878 q^{87} +(69.5712 - 123.979i) q^{88} +(50.2003 - 86.9495i) q^{89} +(-56.2473 - 34.8731i) q^{90} +(11.7813 + 6.80191i) q^{91} +(-50.0075 + 42.6611i) q^{92} +(-44.6227 + 25.7630i) q^{93} +(-71.5481 + 85.9773i) q^{94} +(66.2173 + 68.1195i) q^{95} +(-40.8211 + 119.694i) q^{96} +(-53.4146 + 30.8390i) q^{97} +(83.5702 + 14.3846i) q^{98} +(-101.851 - 58.8039i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 232 q - 2 q^{5} + 8 q^{6} - 328 q^{9}+O(q^{10}) $ 232 * q - 2 * q^5 + 8 * q^6 - 328 * q^9	$ 232 q - 2 q^{5} + 8 q^{6} - 328 q^{9} + 20 q^{14} + 12 q^{16} + 92 q^{20} - 40 q^{21} - 134 q^{24} - 2 q^{25} + 28 q^{26} - 4 q^{29} + 268 q^{30} - 70 q^{34} + 12 q^{36} - 42 q^{40} - 12 q^{41} + 98 q^{44} + 128 q^{45} + 68 q^{46} + 1320 q^{49} - 156 q^{50} - 44 q^{54} - 400 q^{56} + 146 q^{60} - 68 q^{61} - 324 q^{64} - 204 q^{65} + 58 q^{66} + 440 q^{69} + 62 q^{70} - 212 q^{74} + 246 q^{76} + 28 q^{80} - 1116 q^{81} + 96 q^{84} - 46 q^{85} - 28 q^{86} - 60 q^{89} + 482 q^{90} - 756 q^{94} - 628 q^{96}+O(q^{100}) $ 232 * q - 2 * q^5 + 8 * q^6 - 328 * q^9 + 20 * q^14 + 12 * q^16 + 92 * q^20 - 40 * q^21 - 134 * q^24 - 2 * q^25 + 28 * q^26 - 4 * q^29 + 268 * q^30 - 70 * q^34 + 12 * q^36 - 42 * q^40 - 12 * q^41 + 98 * q^44 + 128 * q^45 + 68 * q^46 + 1320 * q^49 - 156 * q^50 - 44 * q^54 - 400 * q^56 + 146 * q^60 - 68 * q^61 - 324 * q^64 - 204 * q^65 + 58 * q^66 + 440 * q^69 + 62 * q^70 - 212 * q^74 + 246 * q^76 + 28 * q^80 - 1116 * q^81 + 96 * q^84 - 46 * q^85 - 28 * q^86 - 60 * q^89 + 482 * q^90 - 756 * q^94 - 628 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/380\mathbb{Z}\right)^\times$.

$n$	$21$	$77$	$191$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$-1$	$-1$

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 $

$2$	−1.97102	−	0.339262i	−0.985508	−	0.169631i
$2$	−1.97102	−	0.339262i	−0.985508	−	0.169631i
$3$	−1.97599	−	3.42251i	−0.658662	−	1.14084i	−0.980962	−	0.194199i	$-0.937789\pi$
$3$	−1.97599	−	3.42251i	−0.658662	−	1.14084i	0.322300	−	0.946637i	$-0.395544\pi$
$4$	3.76980	+	1.33738i	0.942451	+	0.334345i
$5$	−0.693065	−	4.95173i	−0.138613	−	0.990347i
$5$	−0.693065	−	4.95173i	−0.138613	−	0.990347i
$6$	2.73357	+	7.41619i	0.455596	+	1.23603i
$7$	−2.56913			−0.367018			−0.183509	−	0.983018i	$-0.558746\pi$
$7$	−2.56913			−0.367018			−0.183509	+	0.983018i	$0.558746\pi$
$8$	−6.97662	−	3.91494i	−0.872077	−	0.489368i
$9$	−3.30904	+	5.73143i	−0.367671	+	0.636825i
$10$	−0.313891	+	9.99507i	−0.0313891	+	0.999507i
$11$			17.7707i			1.61552i	0.589514	+	0.807758i	$0.299319\pi$
$11$			17.7707i			1.61552i	−0.589514	+	0.807758i	$0.700681\pi$
$12$	−2.87189	−	15.5448i	−0.239324	−	1.29540i
$13$	−4.58570	−	2.64756i	−0.352746	−	0.203658i	0.313148	−	0.949704i	$-0.398616\pi$
$13$	−4.58570	−	2.64756i	−0.352746	−	0.203658i	−0.665894	+	0.746046i	$0.731950\pi$
$14$	5.06379	+	0.871606i	0.361699	+	0.0622576i
$15$	−15.5779	+	12.1566i	−1.03852	+	0.810438i
$16$	12.4228	+	10.0833i	0.776427	+	0.630207i
$17$	1.90065	−	1.09734i	0.111803	−	0.0645496i	−0.443056	−	0.896494i	$-0.646106\pi$
$17$	1.90065	−	1.09734i	0.111803	−	0.0645496i	0.554859	+	0.831945i	$0.312772\pi$
$18$	8.46662	−	10.1741i	0.470368	−	0.565228i
$19$	−15.3281	+	11.2272i	−0.806742	+	0.590903i
$19$	−15.3281	+	11.2272i	−0.806742	+	0.590903i
$20$	4.00963	−	19.5940i	0.200481	−	0.979698i
$21$	5.07656	+	8.79286i	0.241741	+	0.418707i
$22$	6.02891	−	35.0263i	0.274041	−	1.59210i
$23$	−8.21652	+	14.2314i	−0.357240	+	0.618758i	−0.987499	−	0.157627i	$-0.949616\pi$
$23$	−8.21652	+	14.2314i	−0.357240	+	0.618758i	0.630259	+	0.776385i	$0.282949\pi$
$24$	0.386770	+	31.6134i	0.0161154	+	1.31723i
$25$	−24.0393	+	6.86374i	−0.961573	+	0.274550i
$26$	8.14028	+	6.77413i	0.313088	+	0.260543i
$27$	−9.41328			−0.348640
$28$	−9.68510	−	3.43590i	−0.345896	−	0.122711i
$29$	24.5292	−	42.4859i	0.845836	−	1.46503i	−0.0390576	−	0.999237i	$-0.512436\pi$
$29$	24.5292	−	42.4859i	0.845836	−	1.46503i	0.884893	−	0.465794i	$-0.154231\pi$
$30$	34.8285	−	18.6758i	1.16095	−	0.622528i
$31$		−	13.0380i		−	0.420581i	−0.977639	−	0.210291i	$-0.932559\pi$
$31$		−	13.0380i		−	0.420581i	0.977639	−	0.210291i	$-0.0674411\pi$
$32$	−21.0647	−	24.0890i	−0.658272	−	0.752780i
$33$	60.8203	−	35.1146i	1.84304	−	1.06408i
$34$	−4.11851	+	1.51806i	−0.121133	+	0.0446489i
$35$	1.78057	+	12.7216i	0.0508735	+	0.363475i
$36$	−20.1395	+	17.1809i	−0.559431	+	0.477247i
$37$			53.5256i			1.44664i	0.690515	+	0.723318i	$0.257384\pi$
$37$			53.5256i			1.44664i	−0.690515	+	0.723318i	$0.742616\pi$
$38$	34.0209	−	16.9287i	0.895286	−	0.445491i
$39$			20.9261i			0.536568i
$40$	−14.5505	+	37.2597i	−0.363763	+	0.931492i
$41$	12.6985	+	21.9944i	0.309718	+	0.536448i	0.978301	−	0.207190i	$-0.0664319\pi$
$41$	12.6985	+	21.9944i	0.309718	+	0.536448i	−0.668582	+	0.743638i	$0.733099\pi$
$42$	−7.02290	−	19.0531i	−0.167212	−	0.453646i
$43$	36.7927	+	63.7268i	0.855644	+	1.48202i	0.876046	+	0.482227i	$0.160172\pi$
$43$	36.7927	+	63.7268i	0.855644	+	1.48202i	−0.0204018	+	0.999792i	$0.506495\pi$
$44$	−23.7661	+	66.9920i	−0.540140	+	1.52254i
$45$	30.6739	+	12.4132i	0.681642	+	0.275850i
$46$	21.0231	−	25.2628i	0.457023	−	0.549192i
$47$	27.9634	−	48.4340i	0.594966	−	1.03051i	−0.398586	−	0.917131i	$-0.630499\pi$
$47$	27.9634	−	48.4340i	0.594966	−	1.03051i	0.993552	−	0.113380i	$-0.0361677\pi$
$48$	9.96288	−	62.4417i	0.207560	−	1.30087i
$49$	−42.3996			−0.865298
$50$	49.7105	−	5.37293i	0.994210	−	0.107459i
$51$	−7.51133	−	4.33667i	−0.147281	−	0.0850327i
$52$	−13.7464	−	16.1136i	−0.264354	−	0.309877i
$53$	38.6169	+	22.2955i	0.728620	+	0.420669i	0.817917	−	0.575336i	$-0.195129\pi$
$53$	38.6169	+	22.2955i	0.728620	+	0.420669i	−0.0892969	+	0.996005i	$0.528462\pi$
$54$	18.5537	+	3.19356i	0.343587	+	0.0591401i
$55$	87.9957	−	12.3162i	1.59992	−	0.223932i
$56$	17.9238	+	10.0580i	0.320068	+	0.179607i
$57$	68.7132	+	30.2759i	1.20549	+	0.531155i
$58$	−62.7613	+	75.4185i	−1.08209	+	1.30032i
$59$	58.4823	−	33.7648i	0.991225	−	0.572284i	0.0855850	−	0.996331i	$-0.472724\pi$
$59$	58.4823	−	33.7648i	0.991225	−	0.572284i	0.905640	+	0.424047i	$0.139391\pi$
$60$	−74.9834	+	24.9944i	−1.24972	+	0.416573i
$61$	−2.07481	+	3.59367i	−0.0340132	+	0.0589127i	−0.882531	−	0.470254i	$-0.844162\pi$
$61$	−2.07481	+	3.59367i	−0.0340132	+	0.0589127i	0.848518	+	0.529167i	$0.177496\pi$
$62$	−4.42330	+	25.6981i	−0.0713436	+	0.414486i
$63$	8.50134	−	14.7248i	0.134942	−	0.233726i
$64$	33.3464	+	54.6262i	0.521038	+	0.853534i
$65$	−9.93181	+	24.5421i	−0.152797	+	0.377571i
$66$	−131.791	+	48.5775i	−1.99683	+	0.736022i
$67$	−51.0342	+	88.3938i	−0.761704	+	1.31931i	0.180267	+	0.983618i	$0.442304\pi$
$67$	−51.0342	+	88.3938i	−0.761704	+	1.31931i	−0.941971	+	0.335693i	$0.891030\pi$
$68$	8.63266	−	1.59487i	0.126951	−	0.0234540i
$69$	64.9429			0.941202
$70$	0.806426	−	25.6786i	0.0115204	−	0.366837i
$71$	35.9292	−	20.7437i	0.506045	−	0.292165i	−0.225161	−	0.974322i	$-0.572291\pi$
$71$	35.9292	−	20.7437i	0.506045	−	0.292165i	0.731207	+	0.682156i	$0.238958\pi$
$72$	45.5241	−	27.0313i	0.632280	−	0.375434i
$73$	41.1613	−	23.7645i	0.563853	−	0.325541i	−0.190838	−	0.981622i	$-0.561120\pi$
$73$	41.1613	−	23.7645i	0.563853	−	0.325541i	0.754690	+	0.656081i	$0.227787\pi$
$74$	18.1592	−	105.500i	0.245394	−	1.42567i
$75$	70.9926	+	68.7121i	0.946568	+	0.916161i
$76$	−72.7989	+	21.8247i	−0.957881	+	0.287167i
$77$		−	45.6551i		−	0.592924i
$78$	7.09944	−	41.2457i	0.0910184	−	0.528792i
$79$	−63.0816	+	36.4202i	−0.798501	+	0.461015i	−0.842947	−	0.537997i	$-0.819181\pi$
$79$	−63.0816	+	36.4202i	−0.798501	+	0.461015i	0.0444457	+	0.999012i	$0.485848\pi$
$80$	41.3201	−	68.5029i	0.516501	−	0.856287i
$81$	48.3819	+	83.7999i	0.597307	+	1.03457i
$82$	−17.5670	−	47.6593i	−0.214232	−	0.581211i
$83$	−124.038			−1.49444			−0.747219	−	0.664577i	$-0.768612\pi$
$83$	−124.038			−1.49444			−0.747219	+	0.664577i	$0.768612\pi$
$84$	7.37824	+	39.9366i	0.0878362	+	0.475436i
$85$	−6.75103	−	8.65100i	−0.0794239	−	0.101776i
$86$	−50.8989	−	138.089i	−0.591848	−	1.60569i
$87$	−193.878			−2.22848
$88$	69.5712	−	123.979i	0.790582	−	1.40886i
$89$	50.2003	−	86.9495i	0.564049	−	0.976961i	−0.433089	−	0.901351i	$-0.642576\pi$
$89$	50.2003	−	86.9495i	0.564049	−	0.976961i	0.997137	−	0.0756097i	$-0.0240903\pi$
$90$	−56.2473	−	34.8731i	−0.624970	−	0.387479i
$91$	11.7813	+	6.80191i	0.129464	+	0.0747463i
$92$	−50.0075	+	42.6611i	−0.543560	+	0.463708i
$93$	−44.6227	+	25.7630i	−0.479814	+	0.277021i
$94$	−71.5481	+	85.9773i	−0.761150	+	0.914652i
$95$	66.2173	+	68.1195i	0.697024	+	0.717048i
$96$	−40.8211	+	119.694i	−0.425220	+	1.24681i
$97$	−53.4146	+	30.8390i	−0.550666	+	0.317927i	−0.749391	−	0.662128i	$-0.769654\pi$
$97$	−53.4146	+	30.8390i	−0.550666	+	0.317927i	0.198724	+	0.980055i	$0.436320\pi$
$98$	83.5702	+	14.3846i	0.852758	+	0.146781i
$99$	−101.851	−	58.8039i	−1.02880	−	0.593979i
$100$	−99.8029	−	6.27473i	−0.998029	−	0.0627473i
$101$	−51.4072	+	89.0399i	−0.508982	+	0.881583i	0.490964	+	0.871180i	$0.336645\pi$
$101$	−51.4072	+	89.0399i	−0.508982	+	0.881583i	−0.999946	+	0.0104028i	$0.996689\pi$
$102$	13.3337	+	11.0959i	0.130722	+	0.108784i
$103$	−1.41343			−0.0137226			−0.00686129	−	0.999976i	$-0.502184\pi$
$103$	−1.41343			−0.0137226			−0.00686129	+	0.999976i	$0.502184\pi$
$104$	21.6277	+	36.4238i	0.207958	+	0.350229i
$105$	40.0215	−	31.2318i	0.381157	−	0.297446i
$106$	−68.5505	−	57.0459i	−0.646702	−	0.538169i
$107$	−65.3553			−0.610797			−0.305399	−	0.952225i	$-0.598790\pi$
$107$	−65.3553			−0.610797			−0.305399	+	0.952225i	$0.598790\pi$
$108$	−35.4862	−	12.5891i	−0.328576	−	0.116566i
$109$	−34.0017	−	58.8926i	−0.311942	−	0.540299i	0.666841	−	0.745200i	$-0.267646\pi$
$109$	−34.0017	−	58.8926i	−0.311942	−	0.540299i	−0.978783	+	0.204901i	$0.934313\pi$
$110$	−177.619	−	5.57806i	−1.61472	−	0.0507096i
$111$	183.192	−	105.766i	1.65038	−	0.952845i
$112$	−31.9158	−	25.9053i	−0.284963	−	0.231297i
$113$		−	45.2180i		−	0.400159i	−0.979780	−	0.200079i	$-0.935880\pi$
$113$		−	45.2180i		−	0.400159i	0.979780	−	0.200079i	$-0.0641200\pi$
$114$	−125.163	−	82.9859i	−1.09792	−	0.727947i
$115$	76.1649	+	30.8227i	0.662303	+	0.268024i
$116$	149.290	−	127.359i	1.28698	−	1.09792i
$117$	30.3486	−	17.5217i	0.259389	−	0.149759i
$118$	−126.725	+	46.7101i	−1.07394	+	0.395848i
$119$	−4.88302	+	2.81921i	−0.0410338	+	0.0236909i
$120$	156.273	−	23.8253i	1.30228	−	0.198544i
$121$	−194.797			−1.60989
$122$	5.30867	−	6.37928i	0.0435137	−	0.0522892i
$123$	50.1839	−	86.9211i	0.407999	−	0.706676i
$124$	17.4368	−	49.1508i	0.140619	−	0.396377i
$125$	50.6482	+	114.279i	0.405186	+	0.914234i
$126$	−21.7518	+	26.1385i	−0.172634	+	0.207449i
$127$	19.0829	−	33.0525i	0.150259	−	0.260256i	−0.781064	−	0.624451i	$-0.785323\pi$
$127$	19.0829	−	33.0525i	0.150259	−	0.260256i	0.931323	+	0.364195i	$0.118656\pi$
$128$	−47.1937	−	118.982i	−0.368701	−	0.929548i
$129$	145.404	−	251.847i	1.12716	−	1.95230i
$130$	27.9019	−	45.0034i	0.214630	−	0.346180i
$131$	−181.311	+	104.680i	−1.38405	+	0.799084i	−0.992637	−	0.121129i	$-0.961349\pi$
$131$	−181.311	+	104.680i	−1.38405	+	0.799084i	−0.391418	+	0.920213i	$0.628015\pi$
$132$	276.242	−	51.0354i	2.09274	−	0.386632i
$133$	39.3798	−	28.8440i	0.296089	−	0.216872i
$134$	130.578	−	156.912i	0.974461	−	1.17098i
$135$	6.52401	+	46.6120i	0.0483260	+	0.345274i
$136$	−17.5562	+	0.214789i	−0.129090	+	0.00157933i
$137$	92.9575	+	53.6690i	0.678522	+	0.391745i	0.799298	−	0.600935i	$-0.205205\pi$
$137$	92.9575	+	53.6690i	0.678522	+	0.391745i	−0.120776	+	0.992680i	$0.538538\pi$
$138$	−128.004	−	22.0326i	−0.927562	−	0.159657i
$139$	19.4673	+	11.2395i	0.140053	+	0.0808596i	0.568389	−	0.822760i	$-0.307567\pi$
$139$	19.4673	+	11.2395i	0.140053	+	0.0808596i	−0.428336	+	0.903619i	$0.640900\pi$
$140$	−10.3012	+	50.3393i	−0.0735803	+	0.359567i
$141$	−221.021			−1.56753
$142$	−77.8546	+	28.6968i	−0.548272	+	0.202090i
$143$	47.0489	−	81.4911i	0.329013	−	0.569868i
$144$	−98.8994	+	37.8344i	−0.686802	+	0.262739i
$145$	−227.379	−	92.0168i	−1.56813	−	0.634598i
$146$	−89.1918	+	32.8757i	−0.610903	+	0.225176i
$147$	83.7810	+	145.113i	0.569939	+	0.987163i
$148$	−71.5840	+	201.781i	−0.483676	+	1.36338i
$149$	31.2571	+	54.1388i	0.209779	+	0.363348i	0.951645	−	0.307201i	$-0.0993922\pi$
$149$	31.2571	+	54.1388i	0.209779	+	0.363348i	−0.741866	+	0.670548i	$0.766059\pi$
$150$	−116.616	−	159.518i	−0.777441	−	1.06345i
$151$			67.6505i			0.448017i	0.974587	+	0.224008i	$0.0719143\pi$
$151$			67.6505i			0.448017i	−0.974587	+	0.224008i	$0.928086\pi$
$152$	150.892	−	18.3189i	0.992711	−	0.120519i
$153$			14.5246i			0.0949321i
$154$	−15.4890	+	89.9870i	−0.100578	+	0.584331i
$155$	−64.5608	+	9.03620i	−0.416521	+	0.0582980i
$156$	−27.9862	+	78.8874i	−0.179399	+	0.505689i
$157$	−128.934	+	74.4402i	−0.821237	+	0.474141i	−0.850843	−	0.525420i	$-0.823908\pi$
$157$	−128.934	+	74.4402i	−0.821237	+	0.474141i	0.0296058	+	0.999562i	$0.490575\pi$
$158$	136.691	−	50.3836i	0.865131	−	0.318883i
$159$		−	176.222i		−	1.10832i
$160$	−104.683	+	121.002i	−0.654268	+	0.756263i
$161$	21.1093	−	36.5624i	0.131114	−	0.227095i
$162$	−66.9313	−	181.585i	−0.413156	−	1.12089i
$163$	107.255			0.658009			0.329004	−	0.944328i	$-0.393287\pi$
$163$	107.255			0.658009			0.329004	+	0.944328i	$0.393287\pi$
$164$	18.4559	+	99.8971i	0.112536	+	0.609129i
$165$	−216.031	−	276.829i	−1.30928	−	1.67775i
$166$	244.482	+	42.0815i	1.47278	+	0.253503i
$167$	−12.1627	+	21.0664i	−0.0728305	+	0.126146i	−0.900141	−	0.435599i	$-0.856537\pi$
$167$	−12.1627	+	21.0664i	−0.0728305	+	0.126146i	0.827310	+	0.561745i	$0.189870\pi$
$168$	−0.993662	−	81.2188i	−0.00591465	−	0.483445i
$169$	−70.4809	−	122.076i	−0.417047	−	0.722346i
$170$	10.3714	+	19.3416i	0.0610084	+	0.113774i
$171$	−13.6263	−	125.003i	−0.0796861	−	0.731012i
$172$	53.4743	+	289.443i	0.310897	+	1.68281i
$173$	−96.4971	+	55.7126i	−0.557787	+	0.322038i	−0.752257	−	0.658870i	$-0.771035\pi$
$173$	−96.4971	+	55.7126i	−0.557787	+	0.322038i	0.194470	+	0.980908i	$0.437701\pi$
$174$	382.136	+	65.7753i	2.19618	+	0.378019i
$175$	61.7601	−	17.6338i	0.352915	−	0.100765i
$176$	−179.187	+	220.762i	−1.01811	+	1.25433i
$177$	−231.120	−	133.437i	−1.30576	−	0.753884i
$178$	−128.444	+	154.348i	−0.721597	+	0.867123i
$179$		−	39.7547i		−	0.222093i	−0.993815	−	0.111047i	$-0.964580\pi$
$179$		−	39.7547i		−	0.222093i	0.993815	−	0.111047i	$-0.0354203\pi$
$180$	99.0333	+	87.8181i	0.550185	+	0.487878i
$181$	−160.853	+	278.606i	−0.888692	+	1.53926i	−0.0472691	+	0.998882i	$0.515052\pi$
$181$	−160.853	+	278.606i	−0.888692	+	1.53926i	−0.841423	+	0.540377i	$0.818281\pi$
$182$	−20.9134	−	17.4036i	−0.114909	−	0.0956241i
$183$	16.3992			0.0896129
$184$	113.039	−	67.1201i	0.614342	−	0.364783i
$185$	265.044	−	37.0967i	1.43267	−	0.200523i
$186$	96.6925	−	35.6404i	0.519852	−	0.191615i
$187$	19.5005	+	33.7759i	0.104281	+	0.180620i
$188$	170.191	−	145.189i	0.905272	−	0.772282i
$189$	24.1839			0.127957
$190$	−107.405	−	156.730i	−0.565289	−	0.824893i
$191$			290.633i			1.52164i	0.648965	+	0.760818i	$0.275202\pi$
$191$			290.633i			1.52164i	−0.648965	+	0.760818i	$0.724798\pi$
$192$	121.066	−	222.069i	0.630554	−	1.15661i
$193$	205.022	−	118.369i	1.06229	−	0.613312i	0.136224	−	0.990678i	$-0.456503\pi$
$193$	205.022	−	118.369i	1.06229	−	0.613312i	0.926064	+	0.377366i	$0.123170\pi$
$194$	115.744	−	42.6625i	0.596616	−	0.219910i
$195$	103.621	−	14.5032i	0.531388	−	0.0743753i
$196$	−159.838	−	56.7043i	−0.815501	−	0.289308i
$197$			364.431i			1.84990i	0.380087	+	0.924951i	$0.375894\pi$
$197$			364.431i			1.84990i	−0.380087	+	0.924951i	$0.624106\pi$
$198$	180.801	+	150.458i	0.913135	+	0.759887i
$199$	−117.011	−	67.5564i	−0.587996	−	0.339479i	0.176309	−	0.984335i	$-0.443584\pi$
$199$	−117.011	−	67.5564i	−0.587996	−	0.339479i	−0.764305	+	0.644855i	$0.776918\pi$
$200$	194.584	+	46.2269i	0.972922	+	0.231134i
$201$	403.371			2.00682
$202$	131.532	−	158.058i	0.651149	−	0.782468i
$203$	−63.0187	+	109.152i	−0.310437	+	0.537693i
$204$	−22.5165	−	26.3939i	−0.110375	−	0.129382i
$205$	100.109	−	78.1229i	0.488338	−	0.381087i
$206$	2.78588	+	0.479521i	0.0135237	+	0.00232777i
$207$	−54.3776	−	94.1848i	−0.262694	−	0.454999i
$208$	−30.2713	−	79.1293i	−0.145535	−	0.380429i
$209$	−199.514	−	272.391i	−0.954614	−	1.30331i
$210$	−89.4787	+	47.9806i	−0.426089	+	0.228479i
$211$	−56.4634	+	32.5991i	−0.267599	+	0.154498i	−0.627796	−	0.778378i	$-0.716043\pi$
$211$	−56.4634	+	32.5991i	−0.267599	+	0.154498i	0.360197	+	0.932876i	$0.382709\pi$
$212$	115.761	+	135.695i	0.546040	+	0.640070i
$213$	−141.991	−	81.9787i	−0.666626	−	0.384877i
$214$	128.816	+	22.1725i	0.601945	+	0.103610i
$215$	290.059	−	226.354i	1.34911	−	1.05281i
$216$	65.6728	+	36.8525i	0.304041	+	0.170613i
$217$			33.4963i			0.154361i
$218$	47.0378	+	127.614i	0.215770	+	0.585384i
$219$	−162.668	−	93.9165i	−0.742777	−	0.428842i
$220$	348.198	+	71.2538i	1.58272	+	0.323881i
$221$	−11.6211			−0.0525842
$222$	−396.956	+	146.316i	−1.78809	+	0.659081i
$223$	−53.9810	−	93.4979i	−0.242067	−	0.419273i	0.719236	−	0.694766i	$-0.244492\pi$
$223$	−53.9810	−	93.4979i	−0.242067	−	0.419273i	−0.961303	+	0.275493i	$0.911159\pi$
$224$	54.1179	+	61.8876i	0.241598	+	0.276284i
$225$	40.2080	−	160.492i	0.178702	−	0.713298i
$226$	−15.3407	+	89.1253i	−0.0678793	+	0.394360i
$227$	140.091			0.617140			0.308570	−	0.951202i	$-0.400150\pi$
$227$	140.091			0.617140			0.308570	+	0.951202i	$0.400150\pi$
$228$	218.545	+	206.030i	0.958530	+	0.903639i
$229$	−10.4438			−0.0456059			−0.0228030	−	0.999740i	$-0.507259\pi$
$229$	−10.4438			−0.0456059			−0.0228030	+	0.999740i	$0.507259\pi$
$230$	−139.665	−	86.5919i	−0.607240	−	0.376486i
$231$	−156.255	+	90.2139i	−0.676429	+	0.390536i
$232$	−337.461	+	200.377i	−1.45457	+	0.863695i
$233$	−268.616	+	155.086i	−1.15286	+	0.665604i	−0.949583	−	0.313517i	$-0.898493\pi$
$233$	−268.616	+	155.086i	−1.15286	+	0.665604i	−0.203277	+	0.979121i	$0.565159\pi$
$234$	−65.7619	+	24.2395i	−0.281034	+	0.103588i
$235$	−259.213	−	104.899i	−1.10303	−	0.446380i
$236$	265.623	−	49.0735i	1.12552	−	0.207939i
$237$	249.297	+	143.931i	1.05188	+	0.607306i
$238$	10.5810	−	3.90009i	0.0444578	−	0.0163869i
$239$			313.004i			1.30964i	0.755785	+	0.654820i	$0.227256\pi$
$239$			313.004i			1.30964i	−0.755785	+	0.654820i	$0.772744\pi$
$240$	−316.100	−	6.05737i	−1.31708	−	0.0252390i
$241$	−110.391	+	191.203i	−0.458054	+	0.793372i	−0.998858	−	0.0477761i	$-0.984787\pi$
$241$	−110.391	+	191.203i	−0.458054	+	0.793372i	0.540804	+	0.841148i	$0.318120\pi$
$242$	383.948	+	66.0872i	1.58656	+	0.273088i
$243$	148.844	−	257.805i	0.612527	−	1.06093i
$244$	−12.6277	+	10.7726i	−0.0517530	+	0.0441501i
$245$	29.3857	+	209.951i	0.119942	+	0.856945i
$246$	−128.402	+	154.297i	−0.521960	+	0.627225i
$247$	100.015	−	10.9024i	0.404918	−	0.0441393i
$248$	−51.0431	+	90.9613i	−0.205819	+	0.366780i
$249$	245.098	+	424.523i	0.984330	+	1.70491i
$250$	−61.0579	−	242.429i	−0.244232	−	0.969717i
$251$	−335.924	−	193.946i	−1.33834	−	0.772693i	−0.351782	−	0.936082i	$-0.614424\pi$
$251$	−335.924	−	193.946i	−1.33834	−	0.772693i	−0.986562	+	0.163389i	$0.947757\pi$
$252$	51.7410	−	44.1399i	0.205321	−	0.175158i
$253$	−252.902	−	146.013i	−0.999614	−	0.577127i
$254$	−48.8261	+	58.6729i	−0.192229	+	0.230996i
$255$	−16.2682	+	40.1997i	−0.0637968	+	0.157646i
$256$	52.6535	+	250.527i	0.205678	+	0.978620i
$257$	0.424091	+	0.244849i	0.00165016	+	0.000952720i	0.500825	−	0.865549i	$-0.333030\pi$
$257$	0.424091	+	0.244849i	0.00165016	+	0.000952720i	−0.499175	+	0.866501i	$0.666363\pi$
$258$	−372.035	+	447.064i	−1.44200	+	1.73281i
$259$		−	137.514i		−	0.530942i
$260$	−70.2631	+	79.2363i	−0.270243	+	0.304755i
$261$	162.336	+	281.175i	0.621979	+	1.07730i
$262$	392.881	−	144.814i	1.49955	−	0.552725i
$263$	9.53037	+	16.5071i	0.0362371	+	0.0627646i	0.883575	−	0.468289i	$-0.155130\pi$
$263$	9.53037	+	16.5071i	0.0362371	+	0.0627646i	−0.847338	+	0.531054i	$0.821796\pi$
$264$	−561.792	+	6.87317i	−2.12800	+	0.0260347i
$265$	83.6372	−	206.673i	0.315612	−	0.779897i
$266$	−87.4039	+	43.4919i	−0.328586	+	0.163503i
$267$	−396.781			−1.48607
$268$	−310.605	+	264.975i	−1.15897	+	0.988713i
$269$	205.776	+	356.414i	0.764966	+	1.32496i	0.940264	+	0.340445i	$0.110578\pi$
$269$	205.776	+	356.414i	0.764966	+	1.32496i	−0.175298	+	0.984515i	$0.556089\pi$
$270$	2.95474	−	94.0864i	0.0109435	−	0.348468i
$271$	290.900	−	167.951i	1.07343	−	0.619745i	0.144314	−	0.989532i	$-0.453903\pi$
$271$	290.900	−	167.951i	1.07343	−	0.619745i	0.929117	+	0.369787i	$0.120569\pi$
$272$	34.6764	+	5.53278i	0.127487	+	0.0203411i
$273$		−	53.7619i		−	0.196930i
$274$	−165.013	−	137.319i	−0.602236	−	0.501165i
$275$	−121.973	−	427.195i	−0.443540	−	1.55344i
$276$	244.822	+	86.8534i	0.887037	+	0.314686i
$277$			375.294i			1.35485i	0.735591	+	0.677426i	$0.236905\pi$
$277$			375.294i			1.35485i	−0.735591	+	0.677426i	$0.763095\pi$
$278$	−34.5573	−	28.7577i	−0.124307	−	0.103445i
$279$	74.7265	+	43.1434i	0.267837	+	0.154636i
$280$	37.3821	−	95.7248i	0.133508	−	0.341874i
$281$	−83.9562	+	145.416i	−0.298776	+	0.517496i	−0.975856	−	0.218414i	$-0.929912\pi$
$281$	−83.9562	+	145.416i	−0.298776	+	0.517496i	0.677080	+	0.735910i	$0.263245\pi$
$282$	435.636	+	74.9839i	1.54481	+	0.265901i
$283$	−11.4244	−	19.7877i	−0.0403691	−	0.0699213i	0.845135	−	0.534553i	$-0.179520\pi$
$283$	−11.4244	−	19.7877i	−0.0403691	−	0.0699213i	−0.885504	+	0.464632i	$0.846187\pi$
$284$	163.188	−	30.1488i	0.574607	−	0.106158i
$285$	102.295	−	361.232i	0.358931	−	1.26748i
$286$	−120.381	+	144.658i	−0.420912	+	0.505798i
$287$	−32.6239	−	56.5063i	−0.113672	−	0.196886i
$288$	207.768	−	41.0195i	0.721417	−	0.142429i
$289$	−142.092	+	246.110i	−0.491667	+	0.851592i
$290$	416.950	+	258.507i	1.43776	+	0.891405i
$291$	211.093	+	121.875i	0.725406	+	0.418813i
$292$	186.952	−	34.5391i	0.640246	−	0.118285i
$293$		−	279.753i		−	0.954787i	−0.878690	−	0.477394i	$-0.841582\pi$
$293$		−	279.753i		−	0.954787i	0.878690	−	0.477394i	$-0.158418\pi$
$294$	−115.902	−	314.443i	−0.394226	−	1.06954i
$295$	−207.726	−	266.188i	−0.704156	−	0.902331i
$296$	209.550	−	373.427i	0.707938	−	1.26158i
$297$		−	167.280i		−	0.563234i
$298$	−43.2409	−	117.313i	−0.145104	−	0.393667i
$299$	75.3571	−	43.5074i	0.252030	−	0.145510i
$300$	175.734	+	353.975i	0.585780	+	1.17992i
$301$	−94.5251	−	163.722i	−0.314037	−	0.543928i
$302$	22.9512	−	133.340i	0.0759974	−	0.441524i
$303$	406.319			1.34099
$304$	−303.625	−	15.0850i	−0.998768	−	0.0496216i
$305$	19.2329	+	7.78325i	0.0630586	+	0.0255188i
$306$	4.92764	−	28.6282i	0.0161034	−	0.0935563i
$307$	−41.1720	−	71.3120i	−0.134111	−	0.232287i	0.791147	−	0.611627i	$-0.209484\pi$
$307$	−41.1720	−	71.3120i	−0.134111	−	0.232287i	−0.925257	+	0.379340i	$0.876151\pi$
$308$	61.0582	−	172.111i	0.198241	−	0.558801i
$309$	2.79291	+	4.83746i	0.00903854	+	0.0156552i
$310$	130.316	+	4.09252i	0.420374	+	0.0132017i
$311$		−	346.933i		−	1.11554i	−0.829995	−	0.557771i	$-0.811657\pi$
$311$		−	346.933i		−	1.11554i	0.829995	−	0.557771i	$-0.188343\pi$
$312$	81.9247	−	145.994i	0.262579	−	0.467929i
$313$	142.681	+	82.3772i	0.455851	+	0.263186i	0.710298	−	0.703901i	$-0.248560\pi$
$313$	142.681	+	82.3772i	0.455851	+	0.263186i	−0.254447	+	0.967087i	$0.581893\pi$
$314$	279.386	−	102.980i	0.889764	−	0.327963i
$315$	−78.8051	−	31.8912i	−0.250175	−	0.101242i
$316$	−286.513	+	52.9329i	−0.906686	+	0.167509i
$317$	−77.3951	−	44.6841i	−0.244149	−	0.140959i	0.372933	−	0.927858i	$-0.378352\pi$
$317$	−77.3951	−	44.6841i	−0.244149	−	0.140959i	−0.617082	+	0.786899i	$0.711685\pi$
$318$	−59.7854	+	347.336i	−0.188004	+	1.09225i
$319$	755.003	+	435.901i	2.36678	+	1.36646i
$320$	247.383	−	202.982i	0.773072	−	0.634319i
$321$	129.141	+	223.679i	0.402309	+	0.696819i
$322$	−54.0109	+	64.9034i	−0.167736	+	0.201563i
$323$	−16.8134	+	38.1591i	−0.0520538	+	0.118140i
$324$	70.3179	+	380.614i	0.217031	+	1.17473i
$325$	128.409	+	32.1704i	0.395106	+	0.0989858i
$326$	−211.402	−	36.3876i	−0.648473	−	0.111619i
$327$	−134.374	+	232.742i	−0.410928	+	0.711749i
$328$	−2.48554	−	203.160i	−0.00757785	−	0.619390i
$329$	−71.8415	+	124.433i	−0.218363	+	0.378216i
$330$	331.882	+	618.925i	1.00570	+	1.87553i
$331$		−	12.2538i		−	0.0370205i	−0.999829	−	0.0185103i	$-0.994108\pi$
$331$		−	12.2538i		−	0.0370205i	0.999829	−	0.0185103i	$-0.00589234\pi$
$332$	−467.600	−	165.886i	−1.40844	−	0.499658i
$333$	−306.778	−	177.118i	−0.921255	−	0.531887i
$334$	31.1199	−	37.3959i	0.0931733	−	0.111964i
$335$	473.073	+	191.445i	1.41216	+	0.571478i
$336$	−25.5959	+	160.421i	−0.0761783	+	0.477443i
$337$	158.227	−	91.3522i	0.469515	−	0.271075i	−0.246521	−	0.969137i	$-0.579288\pi$
$337$	158.227	−	91.3522i	0.469515	−	0.271075i	0.716037	+	0.698063i	$0.245954\pi$
$338$	97.5031	+	264.526i	0.288471	+	0.782621i
$339$	−154.759	+	89.3500i	−0.456516	+	0.263569i
$340$	−13.8804	−	41.6413i	−0.0408246	−	0.122474i
$341$	231.695			0.679456
$342$	−15.5510	+	251.006i	−0.0454709	+	0.733935i
$343$	234.817			0.684598
$344$	−7.20163	−	588.639i	−0.0209350	−	1.71116i
$345$	−45.0097	−	321.580i	−0.130463	−	0.932116i
$346$	209.098	−	77.0727i	0.604331	−	0.222753i
$347$	−336.556	−	582.932i	−0.969902	−	1.67992i	−0.695825	−	0.718212i	$-0.744961\pi$
$347$	−336.556	−	582.932i	−0.969902	−	1.67992i	−0.274077	−	0.961708i	$-0.588372\pi$
$348$	−730.881	−	259.288i	−2.10023	−	0.745081i
$349$	−195.911			−0.561349			−0.280675	−	0.959803i	$-0.590558\pi$
$349$	−195.911			−0.561349			−0.280675	+	0.959803i	$0.590558\pi$
$350$	−127.713	+	13.8037i	−0.364893	+	0.0394392i
$351$	43.1665	+	24.9222i	0.122981	+	0.0710034i
$352$	428.077	−	374.334i	1.21613	−	1.06345i
$353$		−	345.021i		−	0.977397i	−0.872453	−	0.488698i	$-0.837472\pi$
$353$		−	345.021i		−	0.977397i	0.872453	−	0.488698i	$-0.162528\pi$
$354$	410.272	+	341.417i	1.15896	+	0.964456i
$355$	−127.619	−	163.535i	−0.359490	−	0.460662i
$356$	305.530	−	260.646i	0.858230	−	0.732151i
$357$	19.2976	+	11.1415i	0.0540548	+	0.0312085i
$358$	−13.4872	+	78.3571i	−0.0376738	+	0.218874i
$359$	−40.4420	+	23.3492i	−0.112652	+	0.0650395i	−0.555267	−	0.831672i	$-0.687384\pi$
$359$	−40.4420	+	23.3492i	−0.112652	+	0.0650395i	0.442615	+	0.896712i	$0.354051\pi$
$360$	−165.403	−	206.689i	−0.459452	−	0.574136i
$361$	108.902	−	344.182i	0.301667	−	0.953413i
$362$	411.564	−	494.565i	1.13692	−	1.36620i
$363$	384.916	+	666.695i	1.06038	+	1.83662i
$364$	35.3163	+	41.3979i	0.0970227	+	0.113730i
$365$	−146.203	−	187.349i	−0.400555	−	0.513286i
$366$	−32.3230	−	5.56361i	−0.0883142	−	0.0152011i
$367$	−75.4759	+	130.728i	−0.205656	+	0.356207i	−0.950342	−	0.311209i	$-0.899266\pi$
$367$	−75.4759	+	130.728i	−0.205656	+	0.356207i	0.744685	+	0.667416i	$0.232600\pi$
$368$	−245.573	+	93.9450i	−0.667317	+	0.255285i
$369$	−168.079			−0.455498
$370$	−534.992	−	16.8012i	−1.44592	−	0.0454086i
$371$	−99.2116	−	57.2799i	−0.267417	−	0.154393i
$372$	−202.674	+	37.4437i	−0.544822	+	0.100655i
$373$			555.588i			1.48951i	0.667336	+	0.744757i	$0.267434\pi$
$373$			555.588i			1.48951i	−0.667336	+	0.744757i	$0.732566\pi$
$374$	−26.9770	−	73.1886i	−0.0721310	−	0.195692i
$375$	291.042	−	399.158i	0.776111	−	1.06442i
$376$	−384.706	+	228.430i	−1.02316	+	0.607528i
$377$	−224.968	+	129.885i	−0.596731	+	0.344523i
$378$	−47.6668	−	8.20467i	−0.126103	−	0.0217055i
$379$		−	81.9951i		−	0.216346i	−0.994132	−	0.108173i	$-0.965500\pi$
$379$		−	81.9951i		−	0.216346i	0.994132	−	0.108173i	$-0.0345000\pi$
$380$	158.524	+	345.355i	0.417170	+	0.908829i
$381$	−150.830			−0.395879
$382$	98.6005	−	572.841i	0.258116	−	1.49958i
$383$	−183.456	−	317.756i	−0.478998	−	0.829649i	0.520712	−	0.853732i	$-0.325667\pi$
$383$	−183.456	−	317.756i	−0.478998	−	0.829649i	−0.999710	+	0.0240835i	$0.992333\pi$
$384$	−313.963	+	396.628i	−0.817612	+	1.03289i
$385$	−226.072	+	31.6420i	−0.587200	+	0.0821869i
$386$	−444.259	+	163.752i	−1.15093	+	0.424227i
$387$	−486.994			−1.25838
$388$	−242.606	+	44.8212i	−0.625273	+	0.115518i
$389$	264.451	−	458.042i	0.679822	−	1.17749i	−0.295212	−	0.955432i	$-0.595390\pi$
$389$	264.451	−	458.042i	0.679822	−	1.17749i	0.975034	−	0.222055i	$-0.0712764\pi$
$390$	−209.158	−	6.56853i	−0.536303	−	0.0168424i
$391$			36.0654i			0.0922388i
$392$	295.806	+	165.992i	0.754607	+	0.423449i
$393$	716.537	+	413.693i	1.82325	+	1.05265i
$394$	123.637	−	718.298i	0.313800	−	1.82309i
$395$	224.063	+	287.122i	0.567247	+	0.726890i
$396$	−305.316	−	357.893i	−0.771001	−	0.903770i
$397$	271.851	−	156.953i	0.684762	−	0.395348i	−0.116885	−	0.993145i	$-0.537291\pi$
$397$	271.851	−	156.953i	0.684762	−	0.395348i	0.801647	+	0.597798i	$0.203958\pi$
$398$	207.711	+	172.852i	0.521888	+	0.434302i
$399$	−176.533	−	77.7825i	−0.442438	−	0.194944i
$400$	−367.846	−	157.129i	−0.919614	−	0.392822i
$401$	−279.305	−	483.770i	−0.696521	−	1.20641i	−0.969665	−	0.244437i	$-0.921397\pi$
$401$	−279.305	−	483.770i	−0.696521	−	1.20641i	0.273144	−	0.961973i	$-0.411936\pi$
$402$	−795.051	−	136.848i	−1.97774	−	0.340419i
$403$	−34.5189	+	59.7885i	−0.0856549	+	0.148359i
$404$	−312.875	+	266.912i	−0.774443	+	0.660673i
$405$	381.423	−	297.653i	0.941785	−	0.734945i
$406$	161.242	−	193.760i	0.397147	−	0.477241i
$407$	−951.186			−2.33707
$408$	35.4259	+	59.6617i	0.0868281	+	0.146230i
$409$	−324.189	+	561.512i	−0.792639	+	1.37289i	0.131689	+	0.991291i	$0.457960\pi$
$409$	−324.189	+	561.512i	−0.792639	+	1.37289i	−0.924328	+	0.381600i	$0.875373\pi$
$410$	−223.821	+	120.018i	−0.545905	+	0.292727i
$411$		−	424.197i		−	1.03211i
$412$	−5.32834	−	1.89029i	−0.0129329	−	0.00458808i
$413$	−150.248	+	86.7460i	−0.363798	+	0.210039i
$414$	75.2258	+	204.088i	0.181705	+	0.492966i
$415$	85.9667	+	614.205i	0.207149	+	1.48001i
$416$	32.8196	+	166.235i	0.0788933	+	0.399603i
$417$		−	88.8362i		−	0.213036i
$418$	300.834	+	604.574i	0.719699	+	1.44635i
$419$			528.365i			1.26102i	0.776183	+	0.630508i	$0.217153\pi$
$419$			528.365i			1.26102i	−0.776183	+	0.630508i	$0.782847\pi$
$420$	192.642	−	64.2137i	0.458671	−	0.152890i
$421$	−247.725	−	429.072i	−0.588420	−	1.01917i	−0.994440	−	0.105309i	$-0.966417\pi$
$421$	−247.725	−	429.072i	−0.588420	−	1.01917i	0.406020	−	0.913864i	$-0.366916\pi$
$422$	122.350	−	45.0976i	0.289928	−	0.106866i
$423$	185.064	+	320.540i	0.437503	+	0.757778i
$424$	−182.130	−	306.730i	−0.429551	−	0.723420i
$425$	−38.1586	+	39.4250i	−0.0897848	+	0.0927647i
$426$	252.055	+	209.753i	0.591678	+	0.492379i
$427$	5.33044	−	9.23260i	0.0124835	−	0.0216220i
$428$	−246.377	−	87.4048i	−0.575646	−	0.204217i
$429$	−371.872			−0.866834
$430$	−648.503	+	347.742i	−1.50815	+	0.808703i
$431$	−603.264	−	348.295i	−1.39968	−	0.808108i	−0.405325	−	0.914173i	$-0.632842\pi$
$431$	−603.264	−	348.295i	−1.39968	−	0.808108i	−0.994359	+	0.106065i	$0.966175\pi$
$432$	−116.940	−	94.9170i	−0.270693	−	0.219715i
$433$	−151.524	−	87.4825i	−0.349940	−	0.202038i	0.314719	−	0.949185i	$-0.398090\pi$
$433$	−151.524	−	87.4825i	−0.349940	−	0.202038i	−0.664659	+	0.747147i	$0.731423\pi$
$434$	11.3640	−	66.0218i	0.0261844	−	0.152124i
$435$	134.370	+	960.031i	0.308896	+	2.20697i
$436$	−49.4178	−	267.487i	−0.113344	−	0.613501i
$437$	−33.8349	−	310.389i	−0.0774254	−	0.710273i
$438$	288.759	+	240.298i	0.659267	+	0.548625i
$439$	−103.306	+	59.6436i	−0.235321	+	0.135862i	−0.613024	−	0.790064i	$-0.710047\pi$
$439$	−103.306	+	59.6436i	−0.235321	+	0.135862i	0.377704	+	0.925927i	$0.376714\pi$
$440$	−662.130	−	258.573i	−1.50484	−	0.587665i
$441$	140.302	−	243.010i	0.318145	−	0.551043i
$442$	22.9054	+	3.94260i	0.0518222	+	0.00891990i
$443$	−74.1171	+	128.375i	−0.167307	+	0.289785i	−0.937472	−	0.348060i	$-0.886840\pi$
$443$	−74.1171	+	128.375i	−0.167307	+	0.289785i	0.770165	+	0.637845i	$0.220174\pi$
$444$	832.045	−	153.719i	1.87398	−	0.346215i
$445$	−465.343	−	188.317i	−1.04571	−	0.423184i
$446$	74.6772	+	202.600i	0.167438	+	0.454259i
$447$	123.527	−	213.955i	0.276347	−	0.478647i
$448$	−85.6712	−	140.341i	−0.191230	−	0.313262i
$449$	−52.1449			−0.116136			−0.0580678	−	0.998313i	$-0.518494\pi$
$449$	−52.1449			−0.116136			−0.0580678	+	0.998313i	$0.518494\pi$
$450$	−133.699	+	302.691i	−0.297110	+	0.672647i
$451$	−390.855	+	225.660i	−0.866640	+	0.500355i
$452$	60.4736	−	170.463i	0.133791	−	0.377130i
$453$	231.534	−	133.677i	0.511114	−	0.295092i
$454$	−276.121	−	47.5274i	−0.608197	−	0.104686i
$455$	25.5161	−	63.0518i	0.0560793	−	0.138575i
$456$	−360.857	−	480.231i	−0.791354	−	1.05314i
$457$			823.522i			1.80202i	0.433802	+	0.901008i	$0.357172\pi$
$457$			823.522i			1.80202i	−0.433802	+	0.901008i	$0.642828\pi$
$458$	20.5848	+	3.54316i	0.0449450	+	0.00773617i
$459$	−17.8914	+	10.3296i	−0.0389791	+	0.0225046i
$460$	245.905	+	218.057i	0.534576	+	0.474037i
$461$	−265.935	−	460.613i	−0.576865	−	0.999160i	−0.995836	−	0.0911602i	$-0.970942\pi$
$461$	−265.935	−	460.613i	−0.576865	−	0.999160i	0.418971	−	0.908000i	$-0.362391\pi$
$462$	338.587	−	124.802i	0.732873	−	0.270133i
$463$	−593.146			−1.28109			−0.640547	−	0.767919i	$-0.721292\pi$
$463$	−593.146			−1.28109			−0.640547	+	0.767919i	$0.721292\pi$
$464$	733.121	−	280.459i	1.58000	−	0.604438i
$465$	158.498	+	203.105i	0.340855	+	0.436784i
$466$	582.062	−	214.545i	1.24906	−	0.460397i
$467$	72.1130			0.154418			0.0772088	−	0.997015i	$-0.475399\pi$
$467$	72.1130			0.154418			0.0772088	+	0.997015i	$0.475399\pi$
$468$	137.841	−	25.4660i	0.294533	−	0.0544145i
$469$	131.113	−	227.095i	0.279559	−	0.484211i
$470$	475.324	+	294.699i	1.01133	+	0.627019i
$471$	509.544	+	294.186i	1.08184	+	0.624598i
$472$	−540.196	+	6.60896i	−1.14448	+	0.0140020i
$473$	−1132.47	+	653.831i	−2.39423	+	1.38231i
$474$	−442.537	−	368.268i	−0.933623	−	0.776937i
$475$	291.417	−	375.102i	0.613509	−	0.789688i
$476$	−22.1784	+	4.09743i	−0.0465932	+	0.00860804i
$477$	−255.570	+	147.553i	−0.535785	+	0.309336i
$478$	106.190	−	616.936i	0.222155	−	1.29066i
$479$	644.772	+	372.260i	1.34608	+	0.777160i	0.987692	−	0.156413i	$-0.0499930\pi$
$479$	644.772	+	372.260i	1.34608	+	0.777160i	0.358388	+	0.933573i	$0.383326\pi$
$480$	620.982	+	119.180i	1.29371	+	0.248291i
$481$	141.712	−	245.452i	0.294620	−	0.510296i
$482$	282.450	−	339.412i	0.585996	−	0.704175i
$483$	−166.847			−0.345438
$484$	−734.347	−	260.518i	−1.51725	−	0.538260i
$485$	189.726	+	243.122i	0.391188	+	0.501282i
$486$	−380.837	+	457.641i	−0.783616	+	0.941649i
$487$	147.766			0.303421			0.151710	−	0.988425i	$-0.451522\pi$
$487$	147.766			0.303421			0.151710	+	0.988425i	$0.451522\pi$
$488$	28.5442	−	16.9489i	0.0584922	−	0.0347314i
$489$	−211.935	−	367.082i	−0.433405	−	0.750680i
$490$	13.3089	−	423.787i	0.0271609	−	0.864871i
$491$	217.159	−	125.377i	0.442279	−	0.255350i	−0.262285	−	0.964990i	$-0.584476\pi$
$491$	217.159	−	125.377i	0.442279	−	0.255350i	0.704564	+	0.709641i	$0.251143\pi$
$492$	305.430	−	260.561i	0.620793	−	0.529595i
$493$		−	107.668i		−	0.218393i
$494$	−200.829	−	12.4424i	−0.406537	−	0.0251869i
$495$	−220.592	+	545.096i	−0.445640	+	1.10120i
$496$	131.467	−	161.969i	0.265053	−	0.326551i
$497$	−92.3067	+	53.2933i	−0.185728	+	0.107230i
$498$	−339.068	−	919.893i	−0.680860	−	1.84717i
$499$	554.097	−	319.908i	1.11041	−	0.641098i	0.171478	−	0.985188i	$-0.445146\pi$
$499$	554.097	−	319.908i	1.11041	−	0.641098i	0.938937	+	0.344090i	$0.111812\pi$
$500$	38.0991	+	498.546i	0.0761983	+	0.997093i
$501$	96.1332			0.191883
$502$	596.313	+	496.237i	1.18788	+	0.988519i
$503$	80.7123	−	139.798i	0.160462	−	0.277928i	−0.774573	−	0.632485i	$-0.782035\pi$
$503$	80.7123	−	139.798i	0.160462	−	0.277928i	0.935034	+	0.354557i	$0.115368\pi$
$504$	−116.957	+	69.4467i	−0.232058	+	0.137791i
$505$	476.530	+	192.844i	0.943624	+	0.381870i
$506$	448.938	+	373.594i	0.887229	+	0.738329i
$507$	−278.538	+	482.443i	−0.549386	+	0.951564i
$508$	116.142	−	99.0804i	0.228627	−	0.195040i
$509$	−263.308	+	456.063i	−0.517305	+	0.895998i	0.482493	+	0.875900i	$0.339731\pi$
$509$	−263.308	+	456.063i	−0.517305	+	0.895998i	−0.999798	+	0.0200986i	$0.993602\pi$
$510$	45.7031	−	73.7151i	0.0896139	−	0.144539i
$511$	−105.748	+	61.0539i	−0.206944	+	0.119479i
$512$	−18.7868	−	511.655i	−0.0366931	−	0.999327i
$513$	144.288	−	105.684i	0.281263	−	0.206012i
$514$	−0.752822	−	0.626479i	−0.00146463	−	0.00121883i
$515$	0.979596	+	6.99891i	0.00190213	+	0.0135901i
$516$	884.958	−	754.952i	1.71503	−	1.46309i
$517$	860.705	+	496.928i	1.66481	+	0.961177i
$518$	−46.6532	+	271.042i	−0.0900641	+	0.523247i
$519$	381.354	+	220.175i	0.734786	+	0.424229i
$520$	165.371	−	132.338i	0.318022	−	0.254497i
$521$	921.503			1.76872			0.884360	−	0.466805i	$-0.154595\pi$
$521$	921.503			1.76872			0.884360	+	0.466805i	$0.154595\pi$
$522$	−224.576	−	609.275i	−0.430222	−	1.16719i
$523$	175.716	−	304.349i	0.335977	−	0.581930i	−0.647695	−	0.761900i	$-0.724267\pi$
$523$	175.716	−	304.349i	0.335977	−	0.581930i	0.983672	+	0.179970i	$0.0576001\pi$
$524$	−823.504	+	152.141i	−1.57157	+	0.290346i
$525$	−182.389	−	176.530i	−0.347407	−	0.336248i
$526$	−13.1843	−	35.7690i	−0.0250652	−	0.0680019i
$527$	−14.3072	−	24.7808i	−0.0271484	−	0.0470223i
$528$	1109.63	+	177.047i	2.10158	+	0.335317i
$529$	129.477	+	224.262i	0.244759	+	0.423935i
$530$	−234.966	+	378.980i	−0.443333	+	0.715057i
$531$			446.916i			0.841650i
$532$	187.030	−	56.0704i	0.351559	−	0.105395i
$533$		−	134.480i		−	0.252307i
$534$	782.061	+	134.612i	1.46453	+	0.252083i
$535$	45.2955	+	323.622i	0.0846644	+	0.604901i
$536$	702.103	−	416.894i	1.30989	−	0.777787i
$537$	−136.061	+	78.5547i	−0.253372	+	0.146284i
$538$	−284.670	−	772.310i	−0.529126	−	1.43552i
$539$		−	753.470i		−	1.39790i
$540$	−37.7437	+	184.443i	−0.0698958	+	0.341562i
$541$	252.362	−	437.104i	0.466473	−	0.807955i	−0.532793	−	0.846245i	$-0.678858\pi$
$541$	252.362	−	437.104i	0.466473	−	0.807955i	0.999267	+	0.0382899i	$0.0121910\pi$
$542$	−630.347	+	232.343i	−1.16300	+	0.428677i
$543$	1271.37			2.34139
$544$	−66.4706	−	22.6696i	−0.122189	−	0.0416720i
$545$	−268.055	+	209.184i	−0.491844	+	0.383823i
$546$	−18.2393	+	105.966i	−0.0334054	+	0.194076i
$547$	−81.8034	+	141.688i	−0.149549	+	0.259027i	−0.931061	−	0.364864i	$-0.881116\pi$
$547$	−81.8034	+	141.688i	−0.149549	+	0.259027i	0.781512	+	0.623891i	$0.214449\pi$
$548$	278.655	+	326.641i	0.508495	+	0.596060i
$549$	−13.7312	−	23.7832i	−0.0250114	−	0.0433210i
$550$	95.4806	+	883.389i	0.173601	+	1.60616i
$551$	101.009	+	926.622i	0.183320	+	1.68171i
$552$	−453.082	−	254.248i	−0.820801	−	0.460594i
$553$	162.065	−	93.5680i	0.293064	−	0.169201i
$554$	127.323	−	739.710i	0.229825	−	1.33522i
$555$	−650.687	−	833.814i	−1.17241	−	1.50237i
$556$	58.3566	+	68.4058i	0.104958	+	0.123032i
$557$	692.246	+	399.668i	1.24281	+	0.717537i	0.969666	−	0.244436i	$-0.0786027\pi$
$557$	692.246	+	399.668i	1.24281	+	0.717537i	0.273145	+	0.961973i	$0.411936\pi$
$558$	−132.650	−	110.388i	−0.237724	−	0.197828i
$559$		−	389.643i		−	0.697036i
$560$	−106.156	+	175.993i	−0.189565	+	0.314273i
$561$	77.0656	−	133.481i	0.137372	−	0.237935i
$562$	214.813	−	258.135i	0.382230	−	0.459315i
$563$	−628.032			−1.11551			−0.557755	−	0.830006i	$-0.688337\pi$
$563$	−628.032			−1.11551			−0.557755	+	0.830006i	$0.688337\pi$
$564$	−833.206	−	295.589i	−1.47732	−	0.524094i
$565$	−223.907	+	31.3390i	−0.396296	+	0.0554672i
$566$	15.8045	+	42.8778i	0.0279232	+	0.0757558i
$567$	−124.299	−	215.292i	−0.219222	−	0.379704i
$568$	−331.875	+	4.06028i	−0.584287	+	0.00714839i
$569$	−101.159			−0.177784			−0.0888918	−	0.996041i	$-0.528333\pi$
$569$	−101.159			−0.177784			−0.0888918	+	0.996041i	$0.528333\pi$
$570$	−324.178	+	677.290i	−0.568733	+	1.18823i
$571$			671.333i			1.17572i	0.808964	+	0.587858i	$0.200028\pi$
$571$			671.333i			1.17572i	−0.808964	+	0.587858i	$0.799972\pi$
$572$	286.350	−	244.283i	0.500611	−	0.427068i
$573$	994.692	−	574.286i	1.73594	−	1.00224i
$574$	45.1319	+	122.443i	0.0786269	+	0.213315i
$575$	99.8387	−	398.510i	0.173633	−	0.693061i
$576$	−423.430	+	10.3624i	−0.735122	+	0.0179902i
$577$		−	79.6097i		−	0.137972i	−0.997618	−	0.0689859i	$-0.978024\pi$
$577$		−	79.6097i		−	0.137972i	0.997618	−	0.0689859i	$-0.0219763\pi$
$578$	363.561	−	436.880i	0.628997	−	0.755848i
$579$	−810.240	−	467.792i	−1.39938	−	0.807931i
$580$	−734.113	−	650.977i	−1.26571	−	1.12237i
$581$	318.670			0.548486
$582$	−374.720	−	311.833i	−0.643850	−	0.535795i
$583$	−396.206	+	686.248i	−0.679598	+	1.17710i
$584$	−380.203	+	4.65155i	−0.651032	+	0.00796497i
$585$	−107.797	−	138.134i	−0.184268	−	0.236127i
$586$	−94.9093	+	551.397i	−0.161961	+	0.940950i
$587$	75.7817	+	131.258i	0.129100	+	0.223608i	0.923328	−	0.384012i	$-0.125458\pi$
$587$	75.7817	+	131.258i	0.129100	+	0.223608i	−0.794228	+	0.607620i	$0.792125\pi$
$588$	121.767	+	659.094i	0.207086	+	1.12091i
$589$	146.380	+	199.848i	0.248523	+	0.339301i
$590$	319.124	+	595.133i	0.540889	+	1.00870i
$591$	1247.27	−	720.110i	2.11043	−	1.21846i
$592$	−539.715	+	664.939i	−0.911681	+	1.12321i
$593$	387.435	+	223.686i	0.653347	+	0.377210i	0.789737	−	0.613445i	$-0.210217\pi$
$593$	387.435	+	223.686i	0.653347	+	0.377210i	−0.136390	+	0.990655i	$0.543550\pi$
$594$	−56.7518	+	329.712i	−0.0955417	+	0.555071i
$595$	17.3442	+	22.2255i	0.0291500	+	0.0373538i
$596$	45.4288	+	245.895i	0.0762229	+	0.412576i
$597$			533.962i			0.894409i
$598$	−163.290	+	60.1881i	−0.273061	+	0.100649i
$599$	−332.108	−	191.743i	−0.554438	−	0.320105i	0.196472	−	0.980509i	$-0.437051\pi$
$599$	−332.108	−	191.743i	−0.554438	−	0.320105i	−0.750910	+	0.660405i	$0.770385\pi$
$600$	−226.284	−	757.310i	−0.377140	−	1.26218i
$601$	−648.190			−1.07852			−0.539260	−	0.842139i	$-0.681296\pi$
$601$	−648.190			−1.07852			−0.539260	+	0.842139i	$0.681296\pi$
$602$	130.766	+	354.768i	0.217219	+	0.589315i
$603$	−337.748	−	584.997i	−0.560113	−	0.970145i
$604$	−90.4744	+	255.029i	−0.149792	+	0.422234i
$605$	135.007	+	964.583i	0.223152	+	1.59435i
$606$	−800.862	−	137.849i	−1.32155	−	0.227473i
$607$	−65.0028			−0.107089			−0.0535443	−	0.998565i	$-0.517052\pi$
$607$	−65.0028			−0.107089			−0.0535443	+	0.998565i	$0.517052\pi$
$608$	593.333	+	132.741i	0.975876	+	0.218324i
$609$	498.096			0.817892
$610$	−35.2678	−	21.8659i	−0.0578160	−	0.0358457i
$611$	−256.464	+	148.069i	−0.419744	+	0.242339i
$612$	−19.4249	+	54.7549i	−0.0317401	+	0.0894688i
$613$	276.479	−	159.625i	0.451026	−	0.260400i	−0.257238	−	0.966348i	$-0.582812\pi$
$613$	276.479	−	159.625i	0.451026	−	0.260400i	0.708263	+	0.705948i	$0.249479\pi$
$614$	56.9572	+	154.525i	0.0927642	+	0.251670i
$615$	−465.191	−	188.255i	−0.756408	−	0.306106i
$616$	−178.737	+	318.518i	−0.290158	+	0.517075i
$617$	−832.931	−	480.893i	−1.34997	−	0.779405i	−0.361725	−	0.932285i	$-0.617812\pi$
$617$	−832.931	−	480.893i	−1.34997	−	0.779405i	−0.988245	+	0.152880i	$0.951145\pi$
$618$	−3.86370	−	10.4822i	−0.00625195	−	0.0169616i
$619$		−	334.336i		−	0.540122i	−0.962843	−	0.270061i	$-0.912956\pi$
$619$		−	334.336i		−	0.540122i	0.962843	−	0.270061i	$-0.0870439\pi$
$620$	−255.466	−	52.2776i	−0.412043	−	0.0843188i
$621$	77.3444	−	133.964i	0.124548	−	0.215724i
$622$	−117.701	+	683.811i	−0.189230	+	1.09937i
$623$	−128.971	+	223.384i	−0.207016	+	0.358562i
$624$	−211.005	+	259.962i	−0.338149	+	0.416606i
$625$	530.778	−	330.000i	0.849245	−	0.527999i
$626$	−253.280	−	210.773i	−0.404601	−	0.336698i
$627$	−538.023	+	1221.08i	−0.858090	+	1.94750i
$628$	−585.611	+	108.191i	−0.932502	+	0.172279i
$629$	58.7359	+	101.734i	0.0933798	+	0.161739i
$630$	144.507	+	89.5935i	0.229375	+	0.142212i
$631$	251.868	+	145.416i	0.399157	+	0.230453i	0.686120	−	0.727488i	$-0.259312\pi$
$631$	251.868	+	145.416i	0.399157	+	0.230453i	−0.286963	+	0.957942i	$0.592646\pi$
$632$	582.679	−	7.12871i	0.921961	−	0.0112796i
$633$	223.142	+	128.831i	0.352514	+	0.203524i
$634$	137.387	+	114.330i	0.216699	+	0.180332i
$635$	−176.893	−	71.5857i	−0.278571	−	0.112733i
$636$	235.676	−	664.323i	0.370559	−	1.04453i
$637$	194.432	+	112.255i	0.305231	+	0.176225i
$638$	−1340.24	−	1115.31i	−2.10069	−	1.74814i
$639$			274.568i			0.429683i
$640$	−556.459	+	316.153i	−0.869468	+	0.493989i
$641$	376.061	+	651.356i	0.586678	+	1.01616i	0.994664	+	0.103168i	$0.0328978\pi$
$641$	376.061	+	651.356i	0.586678	+	1.01616i	−0.407986	+	0.912988i	$0.633769\pi$
$642$	−178.653	−	484.687i	−0.278276	−	0.754965i
$643$	73.7237	+	127.693i	0.114656	+	0.198590i	0.917642	−	0.397408i	$-0.130090\pi$
$643$	73.7237	+	127.693i	0.114656	+	0.198590i	−0.802986	+	0.595997i	$0.796757\pi$
$644$	128.476	−	109.602i	0.199496	−	0.170189i
$645$	−1347.85	−	545.454i	−2.08969	−	0.845666i
$646$	46.0854	−	69.5081i	0.0713396	−	0.107598i
$647$	915.610			1.41516			0.707581	−	0.706632i	$-0.249786\pi$
$647$	915.610			1.41516			0.707581	+	0.706632i	$0.249786\pi$
$648$	−9.47004	−	774.052i	−0.0146143	−	1.19452i
$649$	600.023	+	1039.27i	0.924535	+	1.60134i
$650$	−242.183	−	106.973i	−0.372589	−	0.164573i
$651$	114.641	−	66.1883i	0.176101	−	0.101672i
$652$	404.332	+	143.441i	0.620141	+	0.220002i
$653$		−	1083.11i		−	1.65866i	−0.558757	−	0.829332i	$-0.688721\pi$
$653$		−	1083.11i		−	1.65866i	0.558757	−	0.829332i	$-0.311279\pi$
$654$	343.813	−	413.150i	0.525708	−	0.631728i
$655$	644.008	+	825.254i	0.983218	+	1.25993i
$656$	−64.0254	+	401.275i	−0.0975996	+	0.611699i
$657$			314.550i			0.478768i
$658$	183.816	−	220.886i	0.279356	−	0.335694i
$659$	−474.428	−	273.911i	−0.719921	−	0.415647i	0.0948025	−	0.995496i	$-0.469778\pi$
$659$	−474.428	−	273.911i	−0.719921	−	0.415647i	−0.814724	+	0.579849i	$0.803111\pi$
$660$	−444.167	−	1332.51i	−0.672981	−	2.01895i
$661$	105.922	−	183.462i	0.160245	−	0.277552i	−0.774711	−	0.632315i	$-0.782105\pi$
$661$	105.922	−	183.462i	0.160245	−	0.277552i	0.934956	+	0.354762i	$0.115438\pi$
$662$	−4.15724	+	24.1524i	−0.00627982	+	0.0364840i
$663$	22.9632	+	39.7734i	0.0346352	+	0.0599900i
$664$	865.369	+	485.604i	1.30327	+	0.731331i
$665$	−170.121	−	175.008i	−0.255820	−	0.263169i
$666$	544.574	+	453.181i	0.817679	+	0.680451i
$667$	403.090	+	698.173i	0.604333	+	1.04674i
$668$	−74.0247	+	63.1500i	−0.110815	+	0.0945360i
$669$	−213.332	+	369.501i	−0.318881	+	0.552319i
$670$	−867.483	−	537.837i	−1.29475	−	0.802741i
$671$	−63.8620	−	36.8707i	−0.0951744	−	0.0549490i
$672$	104.875	−	307.508i	0.156063	−	0.457601i
$673$		−	1059.56i		−	1.57438i	−0.616710	−	0.787190i	$-0.711535\pi$
$673$		−	1059.56i		−	1.57438i	0.616710	−	0.787190i	$-0.288465\pi$
$674$	−342.860	+	126.376i	−0.508694	+	0.187502i
$675$	226.289	−	64.6103i	0.335243	−	0.0957190i
$676$	−102.436	−	554.464i	−0.151533	−	0.820213i
$677$			133.124i			0.196638i	0.995155	+	0.0983191i	$0.0313466\pi$
$677$			133.124i			0.196638i	−0.995155	+	0.0983191i	$0.968653\pi$
$678$	335.345	−	123.607i	0.494609	−	0.182311i
$679$	137.229	−	79.2292i	0.202105	−	0.116685i
$680$	13.2311	+	86.7846i	0.0194576	+	0.127624i
$681$	−276.818	−	479.462i	−0.406487	−	0.704056i
$682$	−456.674	−	78.6051i	−0.669609	−	0.115257i
$683$	−940.727			−1.37735			−0.688673	−	0.725072i	$-0.741806\pi$
$683$	−940.727			−1.37735			−0.688673	+	0.725072i	$0.741806\pi$
$684$	115.808	−	489.460i	0.169310	−	0.715585i
$685$	201.329	−	497.497i	0.293911	−	0.726272i
$686$	−462.828	−	79.6644i	−0.674677	−	0.116129i
$687$	20.6367	+	35.7438i	0.0300389	+	0.0520289i
$688$	−185.508	+	1162.66i	−0.269634	+	1.68991i
$689$	−118.057	−	204.481i	−0.171345	−	0.296779i
$690$	−20.3850	+	649.109i	−0.0295435	+	0.940738i
$691$			4.61419i			0.00667755i	0.999994	+	0.00333877i	$0.00106277\pi$
$691$			4.61419i			0.00667755i	−0.999994	+	0.00333877i	$0.998937\pi$
$692$	−438.284	+	80.9724i	−0.633358	+	0.117012i
$693$	261.669	+	151.075i	0.377589	+	0.218001i
$694$	465.591	+	1263.15i	0.670880	+	1.82010i
$695$	42.1628	−	104.187i	0.0606658	−	0.149909i
$696$	1352.61	+	759.021i	1.94341	+	1.09055i
$697$	48.2707	+	27.8691i	0.0692550	+	0.0399844i
$698$	386.143	+	66.4650i	0.553214	+	0.0952221i
$699$	1061.56	+	612.894i	1.51869	+	0.876816i
$700$	256.406	+	16.1206i	0.366295	+	0.0230294i
$701$	309.905	+	536.772i	0.442091	+	0.765723i	0.997844	−	0.0656235i	$-0.0209036\pi$
$701$	309.905	+	536.772i	0.442091	+	0.765723i	−0.555754	+	0.831347i	$0.687570\pi$
$702$	−76.6267	−	63.7668i	−0.109155	−	0.0908358i
$703$	−600.940	−	820.445i	−0.854822	−	1.16706i
$704$	−970.744	+	592.589i	−1.37890	+	0.841745i
$705$	153.182	+	1094.44i	0.217279	+	1.55239i
$706$	−117.052	+	680.042i	−0.165797	+	0.963232i
$707$	132.072	−	228.755i	0.186806	−	0.323557i
$708$	−692.822	−	812.128i	−0.978562	−	1.14707i
$709$	246.318	−	426.636i	0.347417	−	0.601743i	−0.638373	−	0.769727i	$-0.720392\pi$
$709$	246.318	−	426.636i	0.347417	−	0.601743i	0.985790	+	0.167984i	$0.0537257\pi$
$710$	196.057	+	365.626i	0.276137	+	0.514967i
$711$		−	482.063i		−	0.678007i
$712$	−690.631	+	410.082i	−0.969988	+	0.575958i
$713$	185.550	+	107.127i	0.260238	+	0.150249i
$714$	−34.2559	−	28.5069i	−0.0479775	−	0.0399256i
$715$	−436.130	−	176.495i	−0.609972	−	0.246846i
$716$	53.1671	−	149.867i	0.0742557	−	0.209312i
$717$	1071.26	−	618.492i	1.49409	−	0.862611i
$718$	87.6332	−	32.3012i	0.122052	−	0.0449877i
$719$	332.154	−	191.769i	0.461966	−	0.266716i	−0.250905	−	0.968012i	$-0.580728\pi$
$719$	332.154	−	191.769i	0.461966	−	0.266716i	0.712871	+	0.701296i	$0.247395\pi$
$720$	255.890	+	463.502i	0.355403	+	0.643753i
$721$	3.63127			0.00503644
$722$	−331.415	+	641.442i	−0.459023	+	0.888424i
$723$	872.524			1.20681
$724$	−978.987	+	835.168i	−1.35219	+	1.15355i
$725$	−298.054	+	1189.69i	−0.411109	+	1.64096i
$726$	−532.492	−	1444.65i	−0.733460	−	1.98988i
$727$	22.8898	+	39.6463i	0.0314853	+	0.0545342i	0.881339	−	0.472485i	$-0.156643\pi$
$727$	22.8898	+	39.6463i	0.0314853	+	0.0545342i	−0.849853	+	0.527019i	$0.823310\pi$
$728$	−55.5642	−	93.5773i	−0.0763245	−	0.128540i
$729$	−305.581			−0.419179
$730$	224.607	+	418.869i	0.307681	+	0.573793i
$731$	139.860	+	80.7484i	0.191328	+	0.110463i
$732$	61.8216	+	21.9319i	0.0844558	+	0.0299616i
$733$		−	542.321i		−	0.739865i	−0.929059	−	0.369933i	$-0.879381\pi$
$733$		−	542.321i		−	0.739865i	0.929059	−	0.369933i	$-0.120619\pi$
$734$	193.115	−	232.061i	0.263100	−	0.316159i
$735$	660.495	−	515.434i	0.898632	−	0.701270i
$736$	515.899	−	101.854i	0.700950	−	0.138388i
$737$	−1570.82	−	906.912i	−2.13137	−	1.23055i
$738$	331.286	+	57.0227i	0.448897	+	0.0772665i
$739$	−1235.42	+	713.268i	−1.67174	+	0.965180i	−0.705077	+	0.709131i	$0.749088\pi$
$739$	−1235.42	+	713.268i	−1.67174	+	0.965180i	−0.966664	+	0.256049i	$0.917579\pi$
$740$	1048.78	+	214.618i	1.41727	+	0.290024i
$741$	−234.941	−	320.758i	−0.317060	−	0.432872i
$742$	176.115	+	146.558i	0.237351	+	0.197518i
$743$	−520.583	−	901.676i	−0.700650	−	1.21356i	−0.968239	−	0.250028i	$-0.919560\pi$
$743$	−520.583	−	901.676i	−0.700650	−	1.21356i	0.267588	−	0.963533i	$-0.413773\pi$
$744$	412.176	−	5.04272i	0.554001	−	0.00677785i
$745$	246.418	−	192.298i	0.330762	−	0.258119i
$746$	188.490	−	1095.07i	0.252667	−	1.46793i
$747$	410.448	−	710.917i	0.549462	−	0.951696i
$748$	28.3420	+	153.408i	0.0378903	+	0.205091i
$749$	167.906			0.224174
$750$	−709.066	+	688.008i	−0.945422	+	0.917344i
$751$	−994.882	−	574.395i	−1.32474	−	0.764840i	−0.340261	−	0.940331i	$-0.610516\pi$
$751$	−994.882	−	574.395i	−1.32474	−	0.764840i	−0.984481	+	0.175490i	$0.943849\pi$
$752$	835.760	−	319.724i	1.11138	−	0.425165i
$753$			1532.94i			2.03577i
$754$	487.480	−	179.683i	0.646525	−	0.238306i
$755$	334.987	−	46.8862i	0.443692	−	0.0621009i
$756$	91.1685	+	32.3430i	0.120593	+	0.0427818i
$757$	767.250	−	442.972i	1.01354	−	0.585168i	0.101314	−	0.994855i	$-0.467695\pi$
$757$	767.250	−	442.972i	1.01354	−	0.585168i	0.912226	+	0.409687i	$0.134362\pi$
$758$	−27.8178	+	161.614i	−0.0366989	+	0.213211i
$759$			1154.08i			1.52053i
$760$	−195.288	−	734.481i	−0.256959	−	0.966422i
$761$	−118.840			−0.156163			−0.0780817	−	0.996947i	$-0.524879\pi$
$761$	−118.840			−0.156163			−0.0780817	+	0.996947i	$0.524879\pi$
$762$	297.288	+	51.1708i	0.390142	+	0.0671533i
$763$	87.3546	+	151.303i	0.114488	+	0.198300i
$764$	−388.686	+	1095.63i	−0.508751	+	1.43407i
$765$	71.9220	−	10.0665i	0.0940157	−	0.0131588i
$766$	253.793	+	688.541i	0.331322	+	0.898878i
$767$	−357.577			−0.466202
$768$	753.387	−	675.244i	0.980972	−	0.879224i
$769$	564.632	−	977.972i	0.734242	−	1.27175i	−0.220813	−	0.975316i	$-0.570871\pi$
$769$	564.632	−	977.972i	0.734242	−	1.27175i	0.955055	−	0.296429i	$-0.0957957\pi$
$770$	456.326	+	14.3307i	0.592632	+	0.0186113i
$771$		−	1.93527i		−	0.00251008i
$772$	931.196	−	172.037i	1.20621	−	0.222846i
$773$	1215.84	+	701.967i	1.57289	+	0.908107i	0.995813	+	0.0914150i	$0.0291390\pi$
$773$	1215.84	+	701.967i	1.57289	+	0.908107i	0.577074	+	0.816692i	$0.304194\pi$
$774$	959.873	+	165.218i	1.24015	+	0.213460i
$775$	89.4897	+	313.425i	0.115471	+	0.404420i
$776$	493.386	−	6.03627i	0.635807	−	0.00777870i
$777$	−470.643	+	271.726i	−0.605718	+	0.349711i
$778$	−676.633	+	813.091i	−0.869708	+	1.04510i
$779$	−441.578	−	194.564i	−0.566852	−	0.249762i
$780$	410.026	+	83.9060i	0.525674	+	0.107572i
$781$	368.631	+	638.487i	0.471998	+	0.817525i
$782$	12.2356	−	71.0854i	0.0156465	−	0.0909021i
$783$	−230.901	+	399.931i	−0.294892	+	0.510768i
$784$	−526.723	−	427.528i	−0.671841	−	0.545317i
$785$	457.968	+	586.856i	0.583399	+	0.747587i
$786$	−1271.95	−	1058.49i	−1.61826	−	1.34668i
$787$	724.880			0.921067			0.460533	−	0.887642i	$-0.347658\pi$
$787$	724.880			0.921067			0.460533	+	0.887642i	$0.347658\pi$
$788$	−487.382	+	1373.83i	−0.618505	+	1.74344i
$789$	37.6637	−	65.2355i	0.0477360	−	0.0826812i
$790$	−344.221	−	641.937i	−0.435723	−	0.812578i
$791$			116.171i			0.146866i
$792$	480.364	+	808.995i	0.606520	+	1.02146i
$793$	19.0289	−	10.9863i	0.0239961	−	0.0138542i
$794$	−589.070	+	217.128i	−0.741901	+	0.273461i
$795$	−872.605	+	122.133i	−1.09762	+	0.153627i
$796$	−350.760	−	411.163i	−0.440654	−	0.516536i
$797$			637.262i			0.799576i	0.916608	+	0.399788i	$0.130916\pi$
$797$			637.262i			0.799576i	−0.916608	+	0.399788i	$0.869084\pi$
$798$	321.560	+	213.201i	0.402958	+	0.267170i
$799$		−	122.742i		−	0.153619i
$800$	671.722	+	434.499i	0.839652	+	0.543124i
$801$	332.230	+	575.439i	0.414769	+	0.718401i
$802$	386.390	+	1048.28i	0.481783	+	1.30708i
$803$	422.311	+	731.464i	0.525916	+	0.910914i
$804$	1520.63	+	539.461i	1.89133	+	0.670971i
$805$	−195.677	−	79.1875i	−0.243077	−	0.0983695i
$806$	88.3213	−	106.133i	0.109580	−	0.131679i
$807$	813.221	−	1408.54i	1.00771	−	1.74540i
$808$	707.234	−	419.941i	0.875290	−	0.519729i
$809$	49.3117			0.0609539			0.0304769	−	0.999535i	$-0.490297\pi$
$809$	49.3117			0.0609539			0.0304769	+	0.999535i	$0.490297\pi$
$810$	−852.772	+	457.276i	−1.05281	+	0.564539i
$811$	−541.716	−	312.760i	−0.667960	−	0.385647i	0.127343	−	0.991859i	$-0.459355\pi$
$811$	−541.716	−	312.760i	−0.667960	−	0.385647i	−0.795303	+	0.606212i	$0.792688\pi$
$812$	−383.545	+	327.200i	−0.472346	+	0.402956i
$813$	−1149.63	−	663.737i	−1.41406	−	0.816405i
$814$	1874.80	+	322.701i	2.30320	+	0.396438i
$815$	−74.3350	−	531.100i	−0.0912085	−	0.651657i
$816$	−49.5840	−	129.613i	−0.0607647	−	0.158839i
$817$	−1279.43	−	563.734i	−1.56601	−	0.690005i
$818$	829.482	−	996.765i	1.01404	−	1.21854i
$819$	−77.9693	+	45.0156i	−0.0952006	+	0.0549641i
$820$	481.873	−	160.624i	0.587649	−	0.195882i
$821$	206.676	−	357.973i	0.251737	−	0.436020i	−0.712267	−	0.701908i	$-0.752332\pi$
$821$	206.676	−	357.973i	0.251737	−	0.436020i	0.964004	+	0.265888i	$0.0856650\pi$
$822$	−143.914	+	836.098i	−0.175077	+	1.01715i
$823$	638.005	−	1105.06i	0.775219	−	1.34272i	−0.159453	−	0.987206i	$-0.550973\pi$
$823$	638.005	−	1105.06i	0.775219	−	1.34272i	0.934671	−	0.355513i	$-0.115694\pi$
$824$	9.86094	+	5.53349i	0.0119672	+	0.00671540i
$825$	−1221.06	+	1261.59i	−1.48007	+	1.52920i
$826$	325.571	−	120.004i	0.394154	−	0.145283i
$827$	−608.924	+	1054.69i	−0.736305	+	1.27532i	0.217843	+	0.975984i	$0.430098\pi$
$827$	−608.924	+	1054.69i	−0.736305	+	1.27532i	−0.954148	+	0.299334i	$0.903236\pi$
$828$	−79.0321	−	427.782i	−0.0954494	−	0.516645i
$829$	198.215			0.239101			0.119551	−	0.992828i	$-0.461855\pi$
$829$	198.215			0.239101			0.119551	+	0.992828i	$0.461855\pi$
$830$	38.9346	−	1239.77i	0.0469091	−	1.49370i
$831$	1284.45	−	741.575i	1.54566	−	0.892389i
$832$	−8.29091	−	338.786i	−0.00996503	−	0.407195i
$833$	−80.5870	+	46.5269i	−0.0967430	+	0.0558546i
$834$	−30.1387	+	175.098i	−0.0361375	+	0.209949i
$835$	112.745	+	45.6260i	0.135024	+	0.0546419i
$836$	−387.840	−	1293.69i	−0.463923	−	1.54747i
$837$			122.731i			0.146631i
$838$	179.254	−	1041.42i	0.213907	−	1.24274i
$839$	0.545570	−	0.314985i	0.000650262	−	0.000375429i	−0.499675	−	0.866213i	$-0.666547\pi$
$839$	0.545570	−	0.314985i	0.000650262	−	0.000375429i	0.500325	+	0.865838i	$0.333214\pi$
$840$	−401.485	+	61.2103i	−0.477959	+	0.0728694i
$841$	−782.867	−	1355.97i	−0.930876	−	1.61233i
$842$	342.702	+	929.751i	0.407009	+	1.10422i
$843$	663.585			0.787171
$844$	−256.453	+	47.3794i	−0.303855	+	0.0561367i
$845$	−555.642	+	433.609i	−0.657565	+	0.513147i
$846$	−256.017	−	694.575i	−0.302621	−	0.821010i
$847$	500.458			0.590860
$848$	254.919	+	666.359i	0.300612	+	0.785801i
$849$	−45.1491	+	78.2005i	−0.0531791	+	0.0921090i
$850$	88.5865	−	64.7615i	0.104219	−	0.0761900i
$851$	−761.746	−	439.794i	−0.895118	−	0.516797i
$852$	−425.643	−	498.940i	−0.499580	−	0.585610i
$853$	−1362.09	+	786.401i	−1.59682	+	0.921924i	−0.604724	+	0.796435i	$0.706717\pi$
$853$	−1362.09	+	786.401i	−1.59682	+	0.921924i	−0.992095	+	0.125489i	$0.959950\pi$
$854$	−13.6387	+	16.3892i	−0.0159703	+	0.0191911i
$855$	−609.538	+	154.109i	−0.712910	+	0.180245i
$856$	455.959	+	255.862i	0.532662	+	0.298905i
$857$	−739.540	+	426.973i	−0.862940	+	0.498219i	−0.864996	−	0.501779i	$-0.832679\pi$
$857$	−739.540	+	426.973i	−0.862940	+	0.498219i	0.00205563	+	0.999998i	$0.499346\pi$
$858$	732.965	+	126.162i	0.854272	+	0.147042i
$859$	−1262.05	−	728.646i	−1.46921	−	0.848249i	−0.469807	−	0.882769i	$-0.655676\pi$
$859$	−1262.05	−	728.646i	−1.46921	−	0.848249i	−0.999404	+	0.0345202i	$0.989010\pi$
$860$	1396.19	−	465.394i	1.62347	−	0.541155i
$861$	−128.929	+	223.311i	−0.149743	+	0.259363i
$862$	1070.88	+	891.158i	1.24232	+	1.03383i
$863$	847.087			0.981560			0.490780	−	0.871283i	$-0.336712\pi$
$863$	847.087			0.981560			0.490780	+	0.871283i	$0.336712\pi$
$864$	198.288	+	226.756i	0.229500	+	0.262449i
$865$	342.753	+	439.215i	0.396246	+	0.507764i
$866$	268.977	+	223.836i	0.310597	+	0.258471i
$867$	1123.08			1.29537
$868$	−44.7973	+	126.275i	−0.0516098	+	0.145478i
$869$	−647.211	−	1121.00i	−0.744777	−	1.28999i
$870$	60.8565	−	1937.82i	0.0699500	−	2.22738i
$871$	468.055	−	270.232i	0.537377	−	0.310255i
$872$	6.65533	+	543.986i	0.00763226	+	0.623837i
$873$		−	408.189i		−	0.467571i
$874$	−38.6140	+	623.261i	−0.0441808	+	0.713113i
$875$	−130.122	−	293.598i	−0.148711	−	0.335540i
$876$	−487.625	−	571.596i	−0.556649	−	0.652506i
$877$	−572.753	+	330.679i	−0.653082	+	0.377057i	−0.789636	−	0.613575i	$-0.789731\pi$
$877$	−572.753	+	330.679i	−0.653082	+	0.377057i	0.136554	+	0.990633i	$0.456397\pi$
$878$	223.852	−	82.5108i	0.254957	−	0.0939758i
$879$	−957.456	+	552.787i	−1.08926	+	0.628882i
$880$	1217.34	+	734.286i	1.38335	+	0.834415i
$881$	−1636.43			−1.85747			−0.928736	−	0.370742i	$-0.879103\pi$
$881$	−1636.43			−1.85747			−0.928736	+	0.370742i	$0.879103\pi$
$882$	−358.981	+	431.378i	−0.407008	+	0.489090i
$883$	52.6955	−	91.2713i	0.0596778	−	0.103365i	−0.834643	−	0.550791i	$-0.814326\pi$
$883$	52.6955	−	91.2713i	0.0596778	−	0.103365i	0.894321	+	0.447426i	$0.147659\pi$
$884$	−43.8093	−	15.5418i	−0.0495581	−	0.0175813i
$885$	−500.565	+	1236.93i	−0.565610	+	1.39766i
$886$	189.638	−	227.883i	0.214039	−	0.257204i
$887$	69.4662	−	120.319i	0.0783159	−	0.135647i	−0.824208	−	0.566288i	$-0.808379\pi$
$887$	69.4662	−	120.319i	0.0783159	−	0.135647i	0.902523	+	0.430641i	$0.141712\pi$
$888$	−1692.13	+	20.7021i	−1.90555	+	0.0233132i
$889$	−49.0263	+	84.9160i	−0.0551477	+	0.0955186i
$890$	853.309	+	529.049i	0.958775	+	0.594437i
$891$	−1489.18	+	859.779i	−1.67136	+	0.964959i
$892$	−78.4557	−	424.662i	−0.0879548	−	0.476078i
$893$	115.151	+	1056.35i	0.128948	+	1.18292i
$894$	−316.060	+	379.801i	−0.353535	+	0.424833i
$895$	−196.855	+	27.5526i	−0.219949	+	0.0307850i
$896$	121.247	+	305.680i	0.135320	+	0.341161i
$897$	−297.809	−	171.940i	−0.332006	−	0.191684i
$898$	102.778	+	17.6908i	0.114453	+	0.0197002i
$899$	−553.932	−	319.813i	−0.616165	−	0.355743i
$900$	366.215	−	551.250i	0.406906	−	0.612500i
$901$	97.8631			0.108616
$902$	846.939	−	312.178i	0.938956	−	0.346095i
$903$	−373.561	+	647.026i	−0.413688	+	0.716529i
$904$	−177.026	+	315.468i	−0.195825	+	0.348970i
$905$	1491.06	+	603.410i	1.64758	+	0.666752i
$906$	−501.709	+	184.928i	−0.553763	+	0.204114i
$907$	−454.933	−	787.967i	−0.501580	−	0.868762i	−0.999998	−	0.00182544i	$-0.999419\pi$
$907$	−454.933	−	787.967i	−0.501580	−	0.868762i	0.498418	−	0.866937i	$-0.333914\pi$
$908$	528.115	+	187.355i	0.581624	+	0.206338i
$909$	−340.217	−	589.273i	−0.374276	−	0.648265i
$910$	−71.6836	+	115.619i	−0.0787732	+	0.127054i
$911$			1496.63i			1.64285i	0.570318	+	0.821424i	$0.306820\pi$
$911$			1496.63i			1.64285i	−0.570318	+	0.821424i	$0.693180\pi$
$912$	548.331	+	1068.97i	0.601240	+	1.17211i
$913$		−	2204.25i		−	2.41429i
$914$	279.389	−	1623.17i	0.305677	−	1.77590i
$915$	−11.3657	−	81.2043i	−0.0124215	−	0.0887478i
$916$	−39.3709	−	13.9673i	−0.0429813	−	0.0152481i
$917$	465.811	−	268.936i	0.507973	−	0.293278i
$918$	38.7686	−	14.2899i	0.0422316	−	0.0155664i
$919$		−	322.329i		−	0.350738i	−0.984503	−	0.175369i	$-0.943888\pi$
$919$		−	322.329i		−	0.350738i	0.984503	−	0.175369i	$-0.0561119\pi$
$920$	−410.704	−	513.220i	−0.446417	−	0.557847i
$921$	−162.711	+	281.823i	−0.176667	+	0.305997i
$922$	367.894	+	998.096i	0.399017	+	1.08253i
$923$	−219.681			−0.238008
$924$	−709.701	+	131.116i	−0.768075	+	0.141901i
$925$	−367.386	−	1286.72i	−0.397174	−	1.39105i
$926$	1169.10	+	201.232i	1.26253	+	0.217313i
$927$	4.67708	−	8.10095i	0.00504540	−	0.00873889i
$928$	−1540.14	+	304.069i	−1.65964	+	0.327661i
$929$	−184.864	−	320.194i	−0.198992	−	0.344665i	0.749210	−	0.662333i	$-0.230434\pi$
$929$	−184.864	−	320.194i	−0.198992	−	0.344665i	−0.948202	+	0.317668i	$0.897100\pi$
$930$	−243.496	−	454.094i	−0.261824	−	0.488273i
$931$	649.905	−	476.027i	0.698072	−	0.511307i
$932$	−1220.04	+	225.401i	−1.30906	+	0.241846i
$933$	−1187.38	+	685.535i	−1.27265	+	0.734765i
$934$	−142.136	−	24.4652i	−0.152180	−	0.0261940i
$935$	153.734	−	119.970i	0.164422	−	0.128311i
$936$	−280.327	+	3.42963i	−0.299495	+	0.00366413i
$937$	130.426	+	75.3013i	0.139195	+	0.0803643i	0.567980	−	0.823042i	$-0.307725\pi$
$937$	130.426	+	75.3013i	0.139195	+	0.0803643i	−0.428785	+	0.903406i	$0.641058\pi$
$938$	−335.471	+	403.126i	−0.357645	+	0.429772i
$939$		−	651.105i		−	0.693402i
$940$	−836.891	−	742.116i	−0.890309	−	0.789485i
$941$	433.112	−	750.172i	0.460268	−	0.797208i	−0.538706	−	0.842494i	$-0.681087\pi$
$941$	433.112	−	750.172i	0.460268	−	0.797208i	0.998974	+	0.0452862i	$0.0144200\pi$
$942$	−904.514	−	752.713i	−0.960206	−	0.799059i
$943$	−417.349			−0.442575
$944$	1066.98	+	170.241i	1.13027	+	0.180340i
$945$	−16.7610	−	119.752i	−0.0177365	−	0.126722i
$946$	2453.93	−	904.508i	2.59401	−	0.956140i
$947$	−908.536	−	1573.63i	−0.959383	−	1.66170i	−0.724003	−	0.689797i	$-0.757700\pi$
$947$	−908.536	−	1573.63i	−0.959383	−	1.66170i	−0.235380	−	0.971903i	$-0.575633\pi$
$948$	747.308	+	875.998i	0.788300	+	0.924048i
$949$	−251.671			−0.265196
$950$	−701.645	+	640.464i	−0.738573	+	0.674173i
$951$			353.181i			0.371378i
$952$	45.1040	−	0.551820i	0.0473782	−	0.000579643i
$953$	−1042.23	+	601.733i	−1.09363	+	0.631409i	−0.934541	−	0.355855i	$-0.884190\pi$
$953$	−1042.23	+	601.733i	−1.09363	+	0.631409i	−0.159091	+	0.987264i	$0.550856\pi$
$954$	553.791	−	204.125i	0.580493	−	0.213967i
$955$	1439.13	−	201.427i	1.50695	−	0.210919i
$956$	−418.605	+	1179.96i	−0.437872	+	1.23427i
$957$		−	3445.34i		−	3.60015i
$958$	−1144.56	−	952.476i	−1.19474	−	0.994234i
$959$	−238.819	−	137.882i	−0.249030	−	0.143777i
$960$	−1183.53	−	445.580i	−1.23285	−	0.464146i
$961$	791.010			0.823111
$962$	−362.589	+	435.713i	−0.376912	+	0.452924i
$963$	216.263	−	374.579i	0.224572	−	0.388971i
$964$	−671.863	+	573.162i	−0.696953	+	0.594566i
$965$	−728.226	−	933.175i	−0.754639	−	0.967021i
$966$	328.857	+	56.6046i	0.340432	+	0.0585969i
$967$	835.568	+	1447.25i	0.864083	+	1.49664i	0.867955	+	0.496643i	$0.165434\pi$
$967$	835.568	+	1447.25i	0.864083	+	1.49664i	−0.00387244	+	0.999993i	$0.501233\pi$
$968$	1359.03	+	762.620i	1.40395	+	0.787831i
$969$	163.823	−	17.8580i	0.169064	−	0.0184293i
$970$	−291.471	−	543.563i	−0.300486	−	0.560375i
$971$	168.126	−	97.0678i	0.173148	−	0.0999668i	−0.410922	−	0.911671i	$-0.634793\pi$
$971$	168.126	−	97.0678i	0.173148	−	0.0999668i	0.584069	+	0.811704i	$0.301460\pi$
$972$	905.896	−	772.815i	0.931992	−	0.795077i
$973$	−50.0141	−	28.8756i	−0.0514019	−	0.0296769i
$974$	−291.249	−	50.1313i	−0.299024	−	0.0514695i
$975$	−143.632	−	503.050i	−0.147315	−	0.515949i
$976$	−62.0111	+	23.7226i	−0.0635360	+	0.0243060i
$977$		−	1005.24i		−	1.02891i	−0.857518	−	0.514455i	$-0.827994\pi$
$977$		−	1005.24i		−	1.02891i	0.857518	−	0.514455i	$-0.172006\pi$
$978$	293.191	+	795.427i	0.299786	+	0.813320i
$979$	1545.15	+	892.094i	1.57830	+	0.911230i
$980$	−170.007	+	830.775i	−0.173476	+	0.847730i
$981$	450.051			0.458768
$982$	−470.559	+	173.446i	−0.479184	+	0.176625i
$983$	−307.360	−	532.364i	−0.312676	−	0.541571i	0.666265	−	0.745715i	$-0.267892\pi$
$983$	−307.360	−	532.364i	−0.312676	−	0.541571i	−0.978941	+	0.204145i	$0.934559\pi$
$984$	−690.405	+	409.948i	−0.701632	+	0.416614i
$985$	1804.56	−	252.574i	1.83204	−	0.256420i
$986$	−36.5276	+	212.215i	−0.0370463	+	0.215228i
$987$	567.831			0.575310
$988$	391.616	+	92.6577i	0.396373	+	0.0937831i
$989$	−1209.23			−1.22268
$990$	619.720	−	999.554i	0.625979	−	1.00965i
$991$	1529.16	−	882.859i	1.54304	−	0.890877i	0.544400	−	0.838826i	$-0.316757\pi$
$991$	1529.16	−	882.859i	1.54304	−	0.890877i	0.998644	−	0.0520512i	$-0.0165759\pi$
$992$	−314.072	+	274.642i	−0.316605	+	0.276857i
$993$	−41.9387	+	24.2133i	−0.0422344	+	0.0243840i
$994$	200.018	−	73.7258i	0.201226	−	0.0741708i
$995$	−253.425	+	626.229i	−0.254699	+	0.629376i
$996$	356.224	+	1928.16i	0.357655	+	1.93590i
$997$	937.202	+	541.094i	0.940022	+	0.542722i	0.889967	−	0.456025i	$-0.150727\pi$
$997$	937.202	+	541.094i	0.940022	+	0.542722i	0.0500545	+	0.998746i	$0.484060\pi$
$998$	−1200.67	+	442.560i	−1.20307	+	0.443447i
$999$		−	503.851i		−	0.504355i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	380.3.p.a.159.7	✓	232
4.3	odd	2	inner	380.3.p.a.159.45	yes	232
5.4	even	2	inner	380.3.p.a.159.110	yes	232
19.11	even	3	inner	380.3.p.a.239.72	yes	232
20.19	odd	2	inner	380.3.p.a.159.72	yes	232
76.11	odd	6	inner	380.3.p.a.239.110	yes	232
95.49	even	6	inner	380.3.p.a.239.45	yes	232
380.239	odd	6	inner	380.3.p.a.239.7	yes	232

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
380.3.p.a.159.7	✓	232	1.1	even	1	trivial
380.3.p.a.159.45	yes	232	4.3	odd	2	inner
380.3.p.a.159.72	yes	232	20.19	odd	2	inner
380.3.p.a.159.110	yes	232	5.4	even	2	inner
380.3.p.a.239.7	yes	232	380.239	odd	6	inner
380.3.p.a.239.45	yes	232	95.49	even	6	inner
380.3.p.a.239.72	yes	232	19.11	even	3	inner
380.3.p.a.239.110	yes	232	76.11	odd	6	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:	\( N \)	\(=\)	\( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	380.p (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.97102 - 0.339262i) q^{2} +(-1.97599 - 3.42251i) q^{3} +(3.76980 + 1.33738i) q^{4} +(-0.693065 - 4.95173i) q^{5} +(2.73357 + 7.41619i) q^{6} -2.56913 q^{7} +(-6.97662 - 3.91494i) q^{8} +(-3.30904 + 5.73143i) q^{9} +O(q^{10})\)	\(q+(-1.97102 - 0.339262i) q^{2} +(-1.97599 - 3.42251i) q^{3} +(3.76980 + 1.33738i) q^{4} +(-0.693065 - 4.95173i) q^{5} +(2.73357 + 7.41619i) q^{6} -2.56913 q^{7} +(-6.97662 - 3.91494i) q^{8} +(-3.30904 + 5.73143i) q^{9} +(-0.313891 + 9.99507i) q^{10} +17.7707i q^{11} +(-2.87189 - 15.5448i) q^{12} +(-4.58570 - 2.64756i) q^{13} +(5.06379 + 0.871606i) q^{14} +(-15.5779 + 12.1566i) q^{15} +(12.4228 + 10.0833i) q^{16} +(1.90065 - 1.09734i) q^{17} +(8.46662 - 10.1741i) q^{18} +(-15.3281 + 11.2272i) q^{19} +(4.00963 - 19.5940i) q^{20} +(5.07656 + 8.79286i) q^{21} +(6.02891 - 35.0263i) q^{22} +(-8.21652 + 14.2314i) q^{23} +(0.386770 + 31.6134i) q^{24} +(-24.0393 + 6.86374i) q^{25} +(8.14028 + 6.77413i) q^{26} -9.41328 q^{27} +(-9.68510 - 3.43590i) q^{28} +(24.5292 - 42.4859i) q^{29} +(34.8285 - 18.6758i) q^{30} -13.0380i q^{31} +(-21.0647 - 24.0890i) q^{32} +(60.8203 - 35.1146i) q^{33} +(-4.11851 + 1.51806i) q^{34} +(1.78057 + 12.7216i) q^{35} +(-20.1395 + 17.1809i) q^{36} +53.5256i q^{37} +(34.0209 - 16.9287i) q^{38} +20.9261i q^{39} +(-14.5505 + 37.2597i) q^{40} +(12.6985 + 21.9944i) q^{41} +(-7.02290 - 19.0531i) q^{42} +(36.7927 + 63.7268i) q^{43} +(-23.7661 + 66.9920i) q^{44} +(30.6739 + 12.4132i) q^{45} +(21.0231 - 25.2628i) q^{46} +(27.9634 - 48.4340i) q^{47} +(9.96288 - 62.4417i) q^{48} -42.3996 q^{49} +(49.7105 - 5.37293i) q^{50} +(-7.51133 - 4.33667i) q^{51} +(-13.7464 - 16.1136i) q^{52} +(38.6169 + 22.2955i) q^{53} +(18.5537 + 3.19356i) q^{54} +(87.9957 - 12.3162i) q^{55} +(17.9238 + 10.0580i) q^{56} +(68.7132 + 30.2759i) q^{57} +(-62.7613 + 75.4185i) q^{58} +(58.4823 - 33.7648i) q^{59} +(-74.9834 + 24.9944i) q^{60} +(-2.07481 + 3.59367i) q^{61} +(-4.42330 + 25.6981i) q^{62} +(8.50134 - 14.7248i) q^{63} +(33.3464 + 54.6262i) q^{64} +(-9.93181 + 24.5421i) q^{65} +(-131.791 + 48.5775i) q^{66} +(-51.0342 + 88.3938i) q^{67} +(8.63266 - 1.59487i) q^{68} +64.9429 q^{69} +(0.806426 - 25.6786i) q^{70} +(35.9292 - 20.7437i) q^{71} +(45.5241 - 27.0313i) q^{72} +(41.1613 - 23.7645i) q^{73} +(18.1592 - 105.500i) q^{74} +(70.9926 + 68.7121i) q^{75} +(-72.7989 + 21.8247i) q^{76} -45.6551i q^{77} +(7.09944 - 41.2457i) q^{78} +(-63.0816 + 36.4202i) q^{79} +(41.3201 - 68.5029i) q^{80} +(48.3819 + 83.7999i) q^{81} +(-17.5670 - 47.6593i) q^{82} -124.038 q^{83} +(7.37824 + 39.9366i) q^{84} +(-6.75103 - 8.65100i) q^{85} +(-50.8989 - 138.089i) q^{86} -193.878 q^{87} +(69.5712 - 123.979i) q^{88} +(50.2003 - 86.9495i) q^{89} +(-56.2473 - 34.8731i) q^{90} +(11.7813 + 6.80191i) q^{91} +(-50.0075 + 42.6611i) q^{92} +(-44.6227 + 25.7630i) q^{93} +(-71.5481 + 85.9773i) q^{94} +(66.2173 + 68.1195i) q^{95} +(-40.8211 + 119.694i) q^{96} +(-53.4146 + 30.8390i) q^{97} +(83.5702 + 14.3846i) q^{98} +(-101.851 - 58.8039i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 232 q - 2 q^{5} + 8 q^{6} - 328 q^{9}+O(q^{10}) \) 232 * q - 2 * q^5 + 8 * q^6 - 328 * q^9	\( 232 q - 2 q^{5} + 8 q^{6} - 328 q^{9} + 20 q^{14} + 12 q^{16} + 92 q^{20} - 40 q^{21} - 134 q^{24} - 2 q^{25} + 28 q^{26} - 4 q^{29} + 268 q^{30} - 70 q^{34} + 12 q^{36} - 42 q^{40} - 12 q^{41} + 98 q^{44} + 128 q^{45} + 68 q^{46} + 1320 q^{49} - 156 q^{50} - 44 q^{54} - 400 q^{56} + 146 q^{60} - 68 q^{61} - 324 q^{64} - 204 q^{65} + 58 q^{66} + 440 q^{69} + 62 q^{70} - 212 q^{74} + 246 q^{76} + 28 q^{80} - 1116 q^{81} + 96 q^{84} - 46 q^{85} - 28 q^{86} - 60 q^{89} + 482 q^{90} - 756 q^{94} - 628 q^{96}+O(q^{100}) \) 232 * q - 2 * q^5 + 8 * q^6 - 328 * q^9 + 20 * q^14 + 12 * q^16 + 92 * q^20 - 40 * q^21 - 134 * q^24 - 2 * q^25 + 28 * q^26 - 4 * q^29 + 268 * q^30 - 70 * q^34 + 12 * q^36 - 42 * q^40 - 12 * q^41 + 98 * q^44 + 128 * q^45 + 68 * q^46 + 1320 * q^49 - 156 * q^50 - 44 * q^54 - 400 * q^56 + 146 * q^60 - 68 * q^61 - 324 * q^64 - 204 * q^65 + 58 * q^66 + 440 * q^69 + 62 * q^70 - 212 * q^74 + 246 * q^76 + 28 * q^80 - 1116 * q^81 + 96 * q^84 - 46 * q^85 - 28 * q^86 - 60 * q^89 + 482 * q^90 - 756 * q^94 - 628 * q^96

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