LMFDB - Embedded newform 770.2.w.b.139.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [770,2,Mod(139,770)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(770, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 5, 7]))

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

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

chi := DirichletCharacter("770.139");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 770 = 2 \cdot 5 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	770.w (of order $10$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$6.14848095564$
Analytic rank:	$0$
Dimension:	$96$
Relative dimension:	$24$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			139.3
Character	$\chi$	$=$	770.139
Dual form			770.2.w.b.349.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 + 0.587785i) q^{2} +(-0.822398 + 2.53108i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-2.15934 - 0.580738i) q^{5} +(-2.15307 + 1.56429i) q^{6} +(2.22188 + 1.43641i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.30298 - 2.39976i) q^{9} +O(q^{10})$	\(q+(0.809017 + 0.587785i) q^{2} +(-0.822398 + 2.53108i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-2.15934 - 0.580738i) q^{5} +(-2.15307 + 1.56429i) q^{6} +(2.22188 + 1.43641i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.30298 - 2.39976i) q^{9} +(-1.40559 - 1.73905i) q^{10} +(-1.60778 - 2.90087i) q^{11} -2.66134 q^{12} +(-3.60362 + 4.95996i) q^{13} +(0.953236 + 2.46806i) q^{14} +(3.24573 - 4.98786i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-3.88195 - 5.34304i) q^{17} +(-1.26163 - 3.88289i) q^{18} +(-1.73817 + 5.34955i) q^{19} +(-0.114957 - 2.23311i) q^{20} +(-5.46293 + 4.44245i) q^{21} +(0.404368 - 3.29188i) q^{22} -0.366365i q^{23} +(-2.15307 - 1.56429i) q^{24} +(4.32549 + 2.50802i) q^{25} +(-5.83078 + 1.89454i) q^{26} +(2.33115 - 1.69368i) q^{27} +(-0.679508 + 2.55700i) q^{28} +(0.116581 - 0.0378794i) q^{29} +(5.55764 - 2.12747i) q^{30} +(5.86759 - 8.07605i) q^{31} -1.00000 q^{32} +(8.66457 - 1.68375i) q^{33} -6.60436i q^{34} +(-3.96360 - 4.39202i) q^{35} +(1.26163 - 3.88289i) q^{36} +(1.72460 - 0.560356i) q^{37} +(-4.55060 + 3.30620i) q^{38} +(-9.59045 - 13.2001i) q^{39} +(1.21959 - 1.87420i) q^{40} +(-2.46033 + 7.57212i) q^{41} +(-7.03081 + 0.382985i) q^{42} -3.34028 q^{43} +(2.26206 - 2.42551i) q^{44} +(5.73862 + 7.10005i) q^{45} +(0.215344 - 0.296396i) q^{46} +(2.09013 - 6.43277i) q^{47} +(-0.822398 - 2.53108i) q^{48} +(2.87346 + 6.38304i) q^{49} +(2.02521 + 4.57149i) q^{50} +(16.7162 - 5.43141i) q^{51} +(-5.83078 - 1.89454i) q^{52} +(-5.02641 + 6.91827i) q^{53} +2.88145 q^{54} +(1.78709 + 7.19766i) q^{55} +(-2.05270 + 1.66925i) q^{56} +(-12.1107 - 8.79892i) q^{57} +(0.116581 + 0.0378794i) q^{58} +(-2.58440 + 0.839721i) q^{59} +(5.74673 + 1.54554i) q^{60} +(5.19561 - 3.77483i) q^{61} +(9.49396 - 3.08477i) q^{62} +(-3.89178 - 10.0764i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(10.6619 - 8.61747i) q^{65} +(7.99947 + 3.73073i) q^{66} +6.78639i q^{67} +(3.88195 - 5.34304i) q^{68} +(0.927300 + 0.301298i) q^{69} +(-0.625059 - 5.88297i) q^{70} +(-12.3218 + 8.95234i) q^{71} +(3.30298 - 2.39976i) q^{72} +(-5.47014 + 1.77736i) q^{73} +(1.72460 + 0.560356i) q^{74} +(-9.90528 + 8.88556i) q^{75} -5.62485 q^{76} +(0.594549 - 8.75480i) q^{77} -16.3162i q^{78} +(-3.38238 + 4.65544i) q^{79} +(2.08829 - 0.799400i) q^{80} +(-1.41518 - 4.35547i) q^{81} +(-6.44123 + 4.67983i) q^{82} +(6.47350 + 8.91001i) q^{83} +(-5.91316 - 3.82276i) q^{84} +(5.27953 + 13.7918i) q^{85} +(-2.70234 - 1.96337i) q^{86} +0.326227i q^{87} +(3.25572 - 0.632670i) q^{88} -4.18135i q^{89} +(0.469338 + 9.11714i) q^{90} +(-15.1313 + 5.84414i) q^{91} +(0.348434 - 0.113213i) q^{92} +(15.6156 + 21.4931i) q^{93} +(5.47204 - 3.97567i) q^{94} +(6.85999 - 10.5421i) q^{95} +(0.822398 - 2.53108i) q^{96} +(1.08044 + 0.784986i) q^{97} +(-1.42718 + 6.85297i) q^{98} +(-1.65092 + 13.4398i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) $ 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9	$ 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) $ 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9 + 4 * q^11 - 3 * q^14 - 6 * q^15 - 24 * q^16 + 28 * q^18 - 4 * q^22 + 38 * q^25 - 2 * q^28 + 6 * q^30 - 96 * q^32 + 46 * q^35 - 28 * q^36 + 10 * q^39 - 24 * q^43 - 16 * q^44 + 37 * q^49 - 8 * q^50 - 30 * q^51 + 40 * q^53 + 2 * q^56 - 20 * q^57 + 14 * q^60 + 63 * q^63 - 24 * q^64 - 40 * q^65 + 39 * q^70 - 20 * q^71 + 18 * q^72 - 16 * q^77 - 126 * q^81 + 60 * q^85 - 36 * q^86 - 14 * q^88 - 31 * q^91 - 10 * q^92 + 20 * q^93 - 44 * q^95 + 18 * q^98 + 100 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/770\mathbb{Z}\right)^\times$.

$n$	$211$	$617$	$661$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$-1$	$-1$

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 $

$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$2$	0.809017	+	0.587785i	0.572061	+	0.415627i
$3$	−0.822398	+	2.53108i	−0.474812	+	1.46132i	0.371400	+	0.928473i	$0.378878\pi$
$3$	−0.822398	+	2.53108i	−0.474812	+	1.46132i	−0.846211	+	0.532847i	$0.821122\pi$
$4$	0.309017	+	0.951057i	0.154508	+	0.475528i
$5$	−2.15934	−	0.580738i	−0.965686	−	0.259714i
$5$	−2.15934	−	0.580738i	−0.965686	−	0.259714i
$6$	−2.15307	+	1.56429i	−0.878986	+	0.638620i
$7$	2.22188	+	1.43641i	0.839790	+	0.542911i
$7$	2.22188	+	1.43641i	0.839790	+	0.542911i
$8$	−0.309017	+	0.951057i	−0.109254	+	0.336249i
$9$	−3.30298	−	2.39976i	−1.10099	−	0.799919i
$10$	−1.40559	−	1.73905i	−0.444487	−	0.549937i
$11$	−1.60778	−	2.90087i	−0.484764	−	0.874645i
$11$	−1.60778	−	2.90087i	−0.484764	−	0.874645i
$12$	−2.66134			−0.768262
$13$	−3.60362	+	4.95996i	−0.999465	+	1.37564i	−0.0738111	+	0.997272i	$0.523516\pi$
$13$	−3.60362	+	4.95996i	−0.999465	+	1.37564i	−0.925653	+	0.378373i	$0.876484\pi$
$14$	0.953236	+	2.46806i	0.254763	+	0.659618i
$15$	3.24573	−	4.98786i	0.838044	−	1.28786i
$16$	−0.809017	+	0.587785i	−0.202254	+	0.146946i
$17$	−3.88195	−	5.34304i	−0.941510	−	1.29588i	−0.955197	−	0.295971i	$-0.904357\pi$
$17$	−3.88195	−	5.34304i	−0.941510	−	1.29588i	0.0136869	−	0.999906i	$-0.495643\pi$
$18$	−1.26163	−	3.88289i	−0.297368	−	0.915205i
$19$	−1.73817	+	5.34955i	−0.398764	+	1.22727i	0.527226	+	0.849725i	$0.323232\pi$
$19$	−1.73817	+	5.34955i	−0.398764	+	1.22727i	−0.925991	+	0.377546i	$0.876768\pi$
$20$	−0.114957	−	2.23311i	−0.0257053	−	0.499339i
$21$	−5.46293	+	4.44245i	−1.19211	+	0.969422i
$22$	0.404368	−	3.29188i	0.0862116	−	0.701832i
$23$		−	0.366365i		−	0.0763925i	−0.999270	−	0.0381962i	$-0.987839\pi$
$23$		−	0.366365i		−	0.0763925i	0.999270	−	0.0381962i	$-0.0121612\pi$
$24$	−2.15307	−	1.56429i	−0.439493	−	0.319310i
$25$	4.32549	+	2.50802i	0.865097	+	0.501604i
$26$	−5.83078	+	1.89454i	−1.14351	+	0.371549i
$27$	2.33115	−	1.69368i	0.448629	−	0.325948i
$28$	−0.679508	+	2.55700i	−0.128415	+	0.483228i
$29$	0.116581	−	0.0378794i	0.0216485	−	0.00703403i	−0.298173	−	0.954512i	$-0.596377\pi$
$29$	0.116581	−	0.0378794i	0.0216485	−	0.00703403i	0.319821	+	0.947478i	$0.396377\pi$
$30$	5.55764	−	2.12747i	1.01468	−	0.388422i
$31$	5.86759	−	8.07605i	1.05385	−	1.45050i	0.168428	−	0.985714i	$-0.446131\pi$
$31$	5.86759	−	8.07605i	1.05385	−	1.45050i	0.885423	−	0.464787i	$-0.153869\pi$
$32$	−1.00000			−0.176777
$33$	8.66457	−	1.68375i	1.50831	−	0.293103i
$34$		−	6.60436i		−	1.13264i
$35$	−3.96360	−	4.39202i	−0.669971	−	0.742387i
$36$	1.26163	−	3.88289i	0.210271	−	0.647148i
$37$	1.72460	−	0.560356i	0.283522	−	0.0921220i	−0.163804	−	0.986493i	$-0.552376\pi$
$37$	1.72460	−	0.560356i	0.283522	−	0.0921220i	0.447326	+	0.894371i	$0.352376\pi$
$38$	−4.55060	+	3.30620i	−0.738205	+	0.536337i
$39$	−9.59045	−	13.2001i	−1.53570	−	2.11371i
$40$	1.21959	−	1.87420i	0.192834	−	0.296336i
$41$	−2.46033	+	7.57212i	−0.384239	+	1.18257i	0.552792	+	0.833320i	$0.313563\pi$
$41$	−2.46033	+	7.57212i	−0.384239	+	1.18257i	−0.937031	+	0.349247i	$0.886437\pi$
$42$	−7.03081	+	0.382985i	−1.08488	+	0.0590959i
$43$	−3.34028			−0.509388			−0.254694	−	0.967022i	$-0.581975\pi$
$43$	−3.34028			−0.509388			−0.254694	+	0.967022i	$0.581975\pi$
$44$	2.26206	−	2.42551i	0.341018	−	0.365659i
$45$	5.73862	+	7.10005i	0.855464	+	1.05841i
$46$	0.215344	−	0.296396i	0.0317508	−	0.0437012i
$47$	2.09013	−	6.43277i	0.304877	−	0.938316i	−0.674846	−	0.737959i	$-0.735790\pi$
$47$	2.09013	−	6.43277i	0.304877	−	0.938316i	0.979723	−	0.200357i	$-0.0642101\pi$
$48$	−0.822398	−	2.53108i	−0.118703	−	0.365330i
$49$	2.87346	+	6.38304i	0.410495	+	0.911863i
$50$	2.02521	+	4.57149i	0.286408	+	0.646506i
$51$	16.7162	−	5.43141i	2.34073	−	0.760550i
$52$	−5.83078	−	1.89454i	−0.808584	−	0.262725i
$53$	−5.02641	+	6.91827i	−0.690431	+	0.950297i	−1.00000		0.000580227i	$-0.999815\pi$
$53$	−5.02641	+	6.91827i	−0.690431	+	0.950297i	0.309569	+	0.950877i	$0.399815\pi$
$54$	2.88145			0.392116
$55$	1.78709	+	7.19766i	0.240972	+	0.970532i
$56$	−2.05270	+	1.66925i	−0.274304	+	0.223064i
$57$	−12.1107	−	8.79892i	−1.60410	−	1.16545i
$58$	0.116581	+	0.0378794i	0.0153078	+	0.00497381i
$59$	−2.58440	+	0.839721i	−0.336460	+	0.109322i	−0.472374	−	0.881398i	$-0.656603\pi$
$59$	−2.58440	+	0.839721i	−0.336460	+	0.109322i	0.135914	+	0.990721i	$0.456603\pi$
$60$	5.74673	+	1.54554i	0.741899	+	0.199528i
$61$	5.19561	−	3.77483i	0.665230	−	0.483318i	−0.203195	−	0.979138i	$-0.565133\pi$
$61$	5.19561	−	3.77483i	0.665230	−	0.483318i	0.868425	+	0.495820i	$0.165133\pi$
$62$	9.49396	−	3.08477i	1.20573	−	0.391767i
$63$	−3.89178	−	10.0764i	−0.490319	−	1.26951i
$64$	−0.809017	−	0.587785i	−0.101127	−	0.0734732i
$65$	10.6619	−	8.61747i	1.32244	−	1.06887i
$66$	7.99947	+	3.73073i	0.984666	+	0.459221i
$67$			6.78639i			0.829090i	0.910029	+	0.414545i	$0.136059\pi$
$67$			6.78639i			0.829090i	−0.910029	+	0.414545i	$0.863941\pi$
$68$	3.88195	−	5.34304i	0.470755	−	0.647939i
$69$	0.927300	+	0.301298i	0.111634	+	0.0362720i
$70$	−0.625059	−	5.88297i	−0.0747088	−	0.703149i
$71$	−12.3218	+	8.95234i	−1.46233	+	1.06245i	−0.479586	+	0.877495i	$0.659213\pi$
$71$	−12.3218	+	8.95234i	−1.46233	+	1.06245i	−0.982747	+	0.184953i	$0.940787\pi$
$72$	3.30298	−	2.39976i	0.389260	−	0.282814i
$73$	−5.47014	+	1.77736i	−0.640231	+	0.208024i	−0.611102	−	0.791552i	$-0.709273\pi$
$73$	−5.47014	+	1.77736i	−0.640231	+	0.208024i	−0.0291293	+	0.999576i	$0.509273\pi$
$74$	1.72460	+	0.560356i	0.200481	+	0.0651401i
$75$	−9.90528	+	8.88556i	−1.14376	+	1.02602i
$76$	−5.62485			−0.645214
$77$	0.594549	−	8.75480i	0.0677551	−	0.997702i
$78$		−	16.3162i		−	1.84745i
$79$	−3.38238	+	4.65544i	−0.380547	+	0.523778i	−0.955729	−	0.294247i	$-0.904931\pi$
$79$	−3.38238	+	4.65544i	−0.380547	+	0.523778i	0.575182	+	0.818025i	$0.304931\pi$
$80$	2.08829	−	0.799400i	0.233478	−	0.0893757i
$81$	−1.41518	−	4.35547i	−0.157242	−	0.483941i
$82$	−6.44123	+	4.67983i	−0.711315	+	0.516801i
$83$	6.47350	+	8.91001i	0.710559	+	0.978000i	0.999785	+	0.0207396i	$0.00660208\pi$
$83$	6.47350	+	8.91001i	0.710559	+	0.978000i	−0.289226	+	0.957261i	$0.593398\pi$
$84$	−5.91316	−	3.82276i	−0.645178	−	0.417098i
$85$	5.27953	+	13.7918i	0.572645	+	1.49593i
$86$	−2.70234	−	1.96337i	−0.291401	−	0.211715i
$87$			0.326227i			0.0349752i
$88$	3.25572	−	0.632670i	0.347061	−	0.0674429i
$89$		−	4.18135i		−	0.443223i	−0.975135	−	0.221611i	$-0.928868\pi$
$89$		−	4.18135i		−	0.443223i	0.975135	−	0.221611i	$-0.0711316\pi$
$90$	0.469338	+	9.11714i	0.0494725	+	0.961031i
$91$	−15.1313	+	5.84414i	−1.58619	+	0.612632i
$92$	0.348434	−	0.113213i	0.0363268	−	0.0118033i
$93$	15.6156	+	21.4931i	1.61927	+	2.22873i
$94$	5.47204	−	3.97567i	0.564398	−	0.410059i
$95$	6.85999	−	10.5421i	0.703821	−	1.08159i
$96$	0.822398	−	2.53108i	0.0839357	−	0.258327i
$97$	1.08044	+	0.784986i	0.109702	+	0.0797033i	0.641284	−	0.767304i	$-0.278402\pi$
$97$	1.08044	+	0.784986i	0.109702	+	0.0797033i	−0.531582	+	0.847007i	$0.678402\pi$
$98$	−1.42718	+	6.85297i	−0.144167	+	0.692254i
$99$	−1.65092	+	13.4398i	−0.165923	+	1.35075i
$100$	−1.04862	+	4.88880i	−0.104862	+	0.488880i
$101$	11.5742	+	8.40913i	1.15167	+	0.836740i	0.988703	−	0.149891i	$-0.0478922\pi$
$101$	11.5742	+	8.40913i	1.15167	+	0.836740i	0.162971	+	0.986631i	$0.447892\pi$
$102$	16.7162	+	5.43141i	1.65515	+	0.537790i
$103$	1.32622	+	4.08169i	0.130676	+	0.402181i	0.994892	−	0.100940i	$-0.0321851\pi$
$103$	1.32622	+	4.08169i	0.130676	+	0.402181i	−0.864216	+	0.503121i	$0.832185\pi$
$104$	−3.60362	−	4.95996i	−0.353364	−	0.486364i
$105$	14.3762	−	6.42022i	1.40298	−	0.626549i
$106$	−8.13291	+	2.64254i	−0.789938	+	0.256666i
$107$	−0.236608	+	0.728203i	−0.0228737	+	0.0703981i	−0.961842	−	0.273606i	$-0.911783\pi$
$107$	−0.236608	+	0.728203i	−0.0228737	+	0.0703981i	0.938968	+	0.344004i	$0.111783\pi$
$108$	2.33115	+	1.69368i	0.224315	+	0.162974i
$109$			4.80660i			0.460389i	0.973145	+	0.230194i	$0.0739362\pi$
$109$			4.80660i			0.460389i	−0.973145	+	0.230194i	$0.926064\pi$
$110$	−2.78489	+	6.87346i	−0.265529	+	0.655358i
$111$			4.82594i			0.458058i
$112$	−2.64183	+	0.143907i	−0.249630	+	0.0135979i
$113$	−5.25005	−	1.70584i	−0.493883	−	0.160472i	0.0514771	−	0.998674i	$-0.483607\pi$
$113$	−5.25005	−	1.70584i	−0.493883	−	0.160472i	−0.545360	+	0.838202i	$0.683607\pi$
$114$	−4.62587	−	14.2369i	−0.433252	−	1.33341i
$115$	−0.212762	+	0.791107i	−0.0198402	+	0.0737711i
$116$	0.0720509	+	0.0991695i	0.00668976	+	0.00920766i
$117$	23.8054	−	7.73484i	2.20081	−	0.715086i
$118$	−2.58440	−	0.839721i	−0.237913	−	0.0773026i
$119$	−0.950415	−	17.4476i	−0.0871244	−	1.59942i
$120$	3.74075	+	4.62821i	0.341482	+	0.422496i
$121$	−5.83009	+	9.32792i	−0.530009	+	0.847992i
$122$	6.42213			0.581432
$123$	−17.1423	−	12.4546i	−1.54567	−	1.12299i
$124$	9.49396	+	3.08477i	0.852583	+	0.277021i
$125$	−7.88368	−	7.92764i	−0.705138	−	0.709070i
$126$	2.77423	−	10.4395i	0.247148	−	0.930025i
$127$	−11.5273	+	8.37504i	−1.02288	+	0.743165i	−0.966871	−	0.255266i	$-0.917837\pi$
$127$	−11.5273	+	8.37504i	−1.02288	+	0.743165i	−0.0560073	+	0.998430i	$0.517837\pi$
$128$	−0.309017	−	0.951057i	−0.0273135	−	0.0840623i
$129$	2.74704	−	8.45452i	0.241863	−	0.744379i
$130$	13.6909	−	0.704786i	1.20077	−	0.0618138i
$131$	−5.57240			−0.486863			−0.243432	−	0.969918i	$-0.578273\pi$
$131$	−5.57240			−0.486863			−0.243432	+	0.969918i	$0.578273\pi$
$132$	4.27884	+	7.72019i	0.372425	+	0.671956i
$133$	−11.5461	+	9.38931i	−1.00118	+	0.814156i
$134$	−3.98894	+	5.49031i	−0.344592	+	0.474290i
$135$	−6.01732	+	2.30344i	−0.517888	+	0.198248i
$136$	6.28112	−	2.04086i	0.538602	−	0.175002i
$137$	10.9380	+	15.0549i	0.934500	+	1.28623i	0.958078	+	0.286507i	$0.0924941\pi$
$137$	10.9380	+	15.0549i	0.934500	+	1.28623i	−0.0235783	+	0.999722i	$0.507506\pi$
$138$	0.573103	+	0.788809i	0.0487858	+	0.0671479i
$139$	−0.633087	−	1.94844i	−0.0536977	−	0.165265i	0.920611	−	0.390481i	$-0.127691\pi$
$139$	−0.633087	−	1.94844i	−0.0536977	−	0.165265i	−0.974309	+	0.225216i	$0.927691\pi$
$140$	2.95224	−	5.12682i	0.249510	−	0.433295i
$141$	14.5629	+	10.5806i	1.22642	+	0.891047i
$142$	−15.2306			−1.27813
$143$	20.1820	+	2.47912i	1.68771	+	0.207314i
$144$	4.08271			0.340226
$145$	−0.273735	+	0.0140915i	−0.0227325	+	0.00117024i
$146$	−5.47014	−	1.77736i	−0.452712	−	0.147095i
$147$	−18.5191	+	2.02357i	−1.52743	+	0.166901i
$148$	1.06586	+	1.46703i	0.0876133	+	0.120589i
$149$	3.18120	+	4.37855i	0.260614	+	0.358705i	0.919193	−	0.393807i	$-0.128842\pi$
$149$	3.18120	+	4.37855i	0.260614	+	0.358705i	−0.658579	+	0.752512i	$0.728842\pi$
$150$	−13.2363	+	1.36640i	−1.08074	+	0.111566i
$151$	−3.60124	−	1.17011i	−0.293065	−	0.0952224i	0.158795	−	0.987312i	$-0.449239\pi$
$151$	−3.60124	−	1.17011i	−0.293065	−	0.0952224i	−0.451859	+	0.892089i	$0.649239\pi$
$152$	−4.55060	−	3.30620i	−0.369102	−	0.268169i
$153$			26.9637i			2.17988i
$154$	5.62694	−	6.73331i	0.453432	−	0.542586i
$155$	−17.3602	+	14.0314i	−1.39440	+	1.12703i
$156$	9.59045	−	13.2001i	0.767850	−	1.05686i
$157$	−4.49969	+	13.8486i	−0.359114	+	1.10524i	0.594471	+	0.804117i	$0.297361\pi$
$157$	−4.49969	+	13.8486i	−0.359114	+	1.10524i	−0.953585	+	0.301123i	$0.902639\pi$
$158$	−5.47280	+	1.77822i	−0.435392	+	0.141468i
$159$	−13.3770	−	18.4118i	−1.06086	−	1.46015i
$160$	2.15934	+	0.580738i	0.170711	+	0.0459114i
$161$	0.526250	−	0.814018i	0.0414743	−	0.0641536i
$162$	1.41518	−	4.35547i	0.111187	−	0.342198i
$163$	6.11847	−	8.42135i	0.479235	−	0.659611i	−0.499122	−	0.866532i	$-0.666344\pi$
$163$	6.11847	−	8.42135i	0.479235	−	0.659611i	0.978358	+	0.206921i	$0.0663442\pi$
$164$	−7.96180			−0.621712
$165$	−19.6876	−	1.39606i	−1.53267	−	0.108684i
$166$			11.0134i			0.854804i
$167$	−3.46295	+	4.76635i	−0.267971	+	0.368831i	−0.921704	−	0.387895i	$-0.873202\pi$
$167$	−3.46295	+	4.76635i	−0.267971	+	0.368831i	0.653732	+	0.756726i	$0.273202\pi$
$168$	−2.53688	−	6.56835i	−0.195725	−	0.506759i
$169$	−7.59788	−	23.3839i	−0.584453	−	1.79876i
$170$	−3.83540	+	14.2610i	−0.294162	+	1.09377i
$171$	18.5788	−	13.4983i	1.42075	−	1.03224i
$172$	−1.03220	−	3.17680i	−0.0787048	−	0.242228i
$173$	−20.6542	−	6.71094i	−1.57031	−	0.510224i	−0.610770	−	0.791808i	$-0.709140\pi$
$173$	−20.6542	−	6.71094i	−1.57031	−	0.510224i	−0.959536	+	0.281584i	$0.909140\pi$
$174$	−0.191752	+	0.263923i	−0.0145367	+	0.0200080i
$175$	6.00815	+	11.7857i	0.454173	+	0.890913i
$176$	3.00581	+	1.40182i	0.226571	+	0.105666i
$177$		−	7.23190i		−	0.543583i
$178$	2.45774	−	3.38279i	0.184215	−	0.253551i
$179$	2.80521	−	8.63355i	0.209671	−	0.645302i	−0.789818	−	0.613342i	$-0.789825\pi$
$179$	2.80521	−	8.63355i	0.209671	−	0.645302i	0.999489	−	0.0319605i	$-0.0101751\pi$
$180$	−4.97922	+	7.65179i	−0.371129	+	0.570331i
$181$	5.20058	+	7.15799i	0.386556	+	0.532049i	0.957307	−	0.289075i	$-0.0933476\pi$
$181$	5.20058	+	7.15799i	0.386556	+	0.532049i	−0.570750	+	0.821124i	$0.693348\pi$
$182$	−15.6766	−	4.16596i	−1.16203	−	0.308801i
$183$	5.28155	+	16.2549i	0.390423	+	1.20160i
$184$	0.348434	+	0.113213i	0.0256869	+	0.00834618i
$185$	−4.04942	+	0.208458i	−0.297719	+	0.0153261i
$186$			26.5669i			1.94798i
$187$	−9.25815	+	19.8514i	−0.677023	+	1.45168i
$188$	6.76381			0.493302
$189$	7.61233	−	0.414662i	0.553715	−	0.0301622i
$190$	11.7463	−	4.49651i	0.852168	−	0.326211i
$191$	1.58914	+	4.89088i	0.114986	+	0.353891i	0.991944	−	0.126676i	$-0.0404308\pi$
$191$	1.58914	+	4.89088i	0.114986	+	0.353891i	−0.876958	+	0.480567i	$0.840431\pi$
$192$	2.15307	−	1.56429i	0.155384	−	0.112893i
$193$	0.193126	−	0.140314i	0.0139015	−	0.0101000i	−0.580813	−	0.814037i	$-0.697265\pi$
$193$	0.193126	−	0.140314i	0.0139015	−	0.0101000i	0.594714	+	0.803937i	$0.297265\pi$
$194$	0.412692	+	1.27013i	0.0296295	+	0.0911903i
$195$	13.0432	+	34.0731i	0.934043	+	2.44002i
$196$	−5.18268	+	4.70529i	−0.370192	+	0.336092i
$197$	12.4301			0.885609			0.442804	−	0.896618i	$-0.353984\pi$
$197$	12.4301			0.885609			0.442804	+	0.896618i	$0.353984\pi$
$198$	−9.23534	+	9.90264i	−0.656327	+	0.703750i
$199$		−	11.3934i		−	0.807658i	−0.914834	−	0.403829i	$-0.867679\pi$
$199$		−	11.3934i		−	0.807658i	0.914834	−	0.403829i	$-0.132321\pi$
$200$	−3.72192	+	3.33876i	−0.263179	+	0.236086i
$201$	−17.1769	−	5.58112i	−1.21157	−	0.393662i
$202$	4.42094	+	13.6063i	0.311056	+	0.957333i
$203$	0.313438	+	0.0832943i	0.0219990	+	0.00584611i
$204$	10.3312	+	14.2196i	0.723326	+	0.995573i
$205$	9.71011	−	14.9220i	0.678183	−	1.04220i
$206$	−1.32622	+	4.08169i	−0.0924022	+	0.284385i
$207$	−0.879188	+	1.21010i	−0.0611078	+	0.0841076i
$208$		−	6.13085i		−	0.425098i
$209$	18.3129	−	3.55868i	1.26673	−	0.246159i
$210$	15.4043	+	3.25607i	1.06300	+	0.224690i
$211$	10.5746	−	14.5546i	0.727983	−	1.00198i	−0.271238	−	0.962512i	$-0.587433\pi$
$211$	10.5746	−	14.5546i	0.727983	−	1.00198i	0.999221	−	0.0394701i	$-0.0125670\pi$
$212$	−8.13291	−	2.64254i	−0.558570	−	0.181491i
$213$	−12.5256	−	38.5500i	−0.858243	−	2.64140i
$214$	−0.619447	+	0.450054i	−0.0423445	+	0.0307651i
$215$	7.21280	+	1.93983i	0.491909	+	0.132295i
$216$	0.890418	+	2.74043i	0.0605853	+	0.186462i
$217$	24.6376	−	9.51571i	1.67251	−	0.645969i
$218$	−2.82525	+	3.88862i	−0.191350	+	0.263371i
$219$		−	15.3071i		−	1.03435i
$220$	−6.29314	+	3.92383i	−0.424283	+	0.264544i
$221$	40.4903			2.72367
$222$	−2.83662	+	3.90427i	−0.190381	+	0.262037i
$223$	−3.33747	+	10.2717i	−0.223494	+	0.687842i	0.774947	+	0.632026i	$0.217776\pi$
$223$	−3.33747	+	10.2717i	−0.223494	+	0.687842i	−0.998441	+	0.0558168i	$0.982224\pi$
$224$	−2.22188	−	1.43641i	−0.148455	−	0.0959741i
$225$	−8.26836	−	18.6641i	−0.551224	−	1.24427i
$226$	−3.24471	−	4.46596i	−0.215835	−	0.297071i
$227$	−2.69822	+	0.876704i	−0.179087	+	0.0581889i	−0.397188	−	0.917737i	$-0.630014\pi$
$227$	−2.69822	+	0.876704i	−0.179087	+	0.0581889i	0.218101	+	0.975926i	$0.430014\pi$
$228$	4.62587	−	14.2369i	0.306355	−	0.942865i
$229$	9.78751	−	13.4714i	0.646777	−	0.890212i	−0.352177	−	0.935933i	$-0.614559\pi$
$229$	9.78751	−	13.4714i	0.646777	−	0.890212i	0.998954	+	0.0457210i	$0.0145585\pi$
$230$	−0.637129	+	0.514960i	−0.0420111	+	0.0339555i
$231$	21.6702	+	8.70478i	1.42579	+	0.572733i
$232$			0.122580i			0.00804779i
$233$	22.6273	+	16.4397i	1.48237	+	1.07700i	0.976785	+	0.214224i	$0.0687221\pi$
$233$	22.6273	+	16.4397i	1.48237	+	1.07700i	0.505582	+	0.862779i	$0.331278\pi$
$234$	23.8054	+	7.73484i	1.55621	+	0.505642i
$235$	−8.24906	+	12.6767i	−0.538109	+	0.826937i
$236$	−1.59724	−	2.19842i	−0.103972	−	0.143105i
$237$	−9.00164	−	12.3897i	−0.584719	−	0.804797i
$238$	9.48656	−	14.6741i	0.614922	−	0.951178i
$239$	−5.01441	−	1.62928i	−0.324355	−	0.105389i	0.142313	−	0.989822i	$-0.454546\pi$
$239$	−5.01441	−	1.62928i	−0.324355	−	0.105389i	−0.466669	+	0.884432i	$0.654546\pi$
$240$	0.305940	+	5.94306i	0.0197484	+	0.383623i
$241$	27.0677			1.74359			0.871793	−	0.489874i	$-0.162957\pi$
$241$	27.0677			1.74359			0.871793	+	0.489874i	$0.162957\pi$
$242$	−10.1995	+	4.11960i	−0.655646	+	0.264818i
$243$	20.8322			1.33639
$244$	5.19561	+	3.77483i	0.332615	+	0.241659i
$245$	−2.49790	−	15.4519i	−0.159585	−	0.987184i
$246$	−6.54777	−	20.1520i	−0.417470	−	1.28484i
$247$	−20.2698	−	27.8990i	−1.28974	−	1.77517i
$248$	5.86759	+	8.07605i	0.372592	+	0.512829i
$249$	−27.8757	+	9.05738i	−1.76655	+	0.573988i
$250$	−1.71828	−	11.0475i	−0.108674	−	0.698706i
$251$	1.01257	−	1.39368i	0.0639127	−	0.0879684i	−0.775864	−	0.630900i	$-0.782686\pi$
$251$	1.01257	−	1.39368i	0.0639127	−	0.0879684i	0.839777	+	0.542932i	$0.182686\pi$
$252$	8.38059	−	6.81508i	0.527927	−	0.429310i
$253$	−1.06278	+	0.589034i	−0.0668163	+	0.0370323i
$254$	−14.2485			−0.894028
$255$	−39.2501	+	2.02054i	−2.45794	+	0.126531i
$256$	0.309017	−	0.951057i	0.0193136	−	0.0594410i
$257$	2.17154	+	6.68332i	0.135457	+	0.416894i	0.995661	−	0.0930564i	$-0.0296637\pi$
$257$	2.17154	+	6.68332i	0.135457	+	0.416894i	−0.860204	+	0.509951i	$0.829664\pi$
$258$	7.19185	−	5.22518i	0.447745	−	0.325306i
$259$	4.63675	+	1.23219i	0.288113	+	0.0765644i
$260$	11.4904	+	7.47710i	0.712604	+	0.463710i
$261$	−0.475965	−	0.154651i	−0.0294615	−	0.00957263i
$262$	−4.50817	−	3.27538i	−0.278516	−	0.202353i
$263$	20.9582			1.29234			0.646169	−	0.763194i	$-0.276370\pi$
$263$	20.9582			1.29234			0.646169	+	0.763194i	$0.276370\pi$
$264$	−1.07616	+	8.76080i	−0.0662330	+	0.539190i
$265$	14.8714	−	12.0198i	0.913545	−	0.738373i
$266$	−14.8599	+	0.809456i	−0.911120	+	0.0496309i
$267$	10.5833	+	3.43874i	0.647690	+	0.210447i
$268$	−6.45424	+	2.09711i	−0.394256	+	0.128101i
$269$	−2.10609	−	2.89879i	−0.128411	−	0.176742i	0.739971	−	0.672639i	$-0.234839\pi$
$269$	−2.10609	−	2.89879i	−0.128411	−	0.176742i	−0.868381	+	0.495897i	$0.834839\pi$
$270$	−6.22204	−	1.67337i	−0.378661	−	0.101838i
$271$	0.731804	+	2.25226i	0.0444540	+	0.136815i	0.970820	−	0.239809i	$-0.0770848\pi$
$271$	0.731804	+	2.25226i	0.0444540	+	0.136815i	−0.926366	+	0.376624i	$0.877085\pi$
$272$	6.28112	+	2.04086i	0.380849	+	0.123745i
$273$	−2.34802	−	43.1048i	−0.142109	−	2.60882i
$274$			18.6089i			1.12421i
$275$	0.321018	−	16.5800i	0.0193581	−	0.999813i
$276$			0.975021i			0.0586894i
$277$	−16.5303	−	12.0100i	−0.993210	−	0.721609i	−0.0325879	−	0.999469i	$-0.510375\pi$
$277$	−16.5303	−	12.0100i	−0.993210	−	0.721609i	−0.960622	+	0.277860i	$0.910375\pi$
$278$	0.633087	−	1.94844i	0.0379700	−	0.116860i
$279$	−38.7611	+	12.5942i	−2.32057	+	0.753997i
$280$	5.40188	−	2.41240i	0.322824	−	0.144169i
$281$	−4.40401	−	6.06159i	−0.262721	−	0.361604i	0.657195	−	0.753721i	$-0.271743\pi$
$281$	−4.40401	−	6.06159i	−0.262721	−	0.361604i	−0.919916	+	0.392117i	$0.871743\pi$
$282$	5.56255	+	17.1198i	0.331245	+	1.01947i
$283$	−13.1440	−	4.27076i	−0.781333	−	0.253870i	−0.108924	−	0.994050i	$-0.534740\pi$
$283$	−13.1440	−	4.27076i	−0.781333	−	0.253870i	−0.672409	+	0.740180i	$0.734740\pi$
$284$	−12.3218	−	8.95234i	−0.731167	−	0.531224i
$285$	21.0412	+	26.0330i	1.24637	+	1.54206i
$286$	14.8704	+	13.8683i	0.879306	+	0.820052i
$287$	−16.3432	+	13.2903i	−0.964709	+	0.784500i
$288$	3.30298	+	2.39976i	0.194630	+	0.141407i
$289$	−8.22528	+	25.3148i	−0.483840	+	1.48911i
$290$	−0.229739	−	0.149497i	−0.0134908	−	0.00877879i
$291$	−2.87542	+	2.08911i	−0.168560	+	0.122466i
$292$	−3.38073	−	4.65318i	−0.197842	−	0.272307i
$293$	19.0059	−	6.17540i	1.11034	−	0.360771i	0.304266	−	0.952587i	$-0.401589\pi$
$293$	19.0059	−	6.17540i	1.11034	−	0.360771i	0.806073	+	0.591816i	$0.201589\pi$
$294$	−16.1717	−	9.24817i	−0.943153	−	0.539364i
$295$	6.06824	−	0.312385i	0.353307	−	0.0181877i
$296$			1.81335i			0.105399i
$297$	−8.66110	−	4.03929i	−0.502568	−	0.234384i
$298$			5.41219i			0.313520i
$299$	1.81716	+	1.32024i	0.105089	+	0.0763516i
$300$	−11.5116	−	6.67469i	−0.664621	−	0.385363i
$301$	−7.42169	−	4.79801i	−0.427779	−	0.276553i
$302$	−2.22569	−	3.06340i	−0.128074	−	0.176279i
$303$	−30.8028	+	22.3795i	−1.76957	+	1.28567i
$304$	−1.73817	−	5.34955i	−0.0996911	−	0.306818i
$305$	−13.4113	+	5.13385i	−0.767928	+	0.293964i
$306$	−15.8489	+	21.8141i	−0.906019	+	1.24703i
$307$			7.80704i			0.445571i	0.974867	+	0.222786i	$0.0715150\pi$
$307$			7.80704i			0.445571i	−0.974867	+	0.222786i	$0.928485\pi$
$308$	8.51003	−	2.13993i	0.484904	−	0.121934i
$309$	−11.4218			−0.649761
$310$	−22.2921	+	1.14757i	−1.26611	+	0.0651774i
$311$	15.3034	+	4.97237i	0.867775	+	0.281957i	0.708872	−	0.705337i	$-0.249204\pi$
$311$	15.3034	+	4.97237i	0.867775	+	0.281957i	0.158903	+	0.987294i	$0.449204\pi$
$312$	15.5177	−	5.04200i	0.878515	−	0.285447i
$313$	24.6024	−	17.8747i	1.39061	−	1.01034i	0.394815	−	0.918761i	$-0.370809\pi$
$313$	24.6024	−	17.8747i	1.39061	−	1.01034i	0.995798	−	0.0915783i	$-0.0291912\pi$
$314$	−11.7803	+	8.55892i	−0.664803	+	0.483008i
$315$	2.55193	+	24.0184i	0.143785	+	1.35329i
$316$	−5.47280	−	1.77822i	−0.307869	−	0.100033i
$317$	3.09594	−	4.26120i	0.173886	−	0.239333i	−0.713175	−	0.700986i	$-0.752744\pi$
$317$	3.09594	−	4.26120i	0.173886	−	0.239333i	0.887061	+	0.461653i	$0.152744\pi$
$318$		−	22.7583i		−	1.27622i
$319$	−0.297319	−	0.277284i	−0.0166467	−	0.0155249i
$320$	1.40559	+	1.73905i	0.0785750	+	0.0972161i
$321$	−1.64856	−	1.19775i	−0.0920134	−	0.0668517i
$322$	0.904213	−	0.349233i	0.0503898	−	0.0194620i
$323$	35.3304	−	11.4795i	1.96583	−	0.638738i
$324$	3.70498	−	2.69183i	0.205832	−	0.149546i
$325$	−28.0271	+	12.4163i	−1.55466	+	0.688731i
$326$	9.89989	−	3.21667i	0.548304	−	0.178155i
$327$	−12.1659	−	3.95294i	−0.672776	−	0.218598i
$328$	−6.44123	−	4.67983i	−0.355657	−	0.258400i
$329$	13.8841	−	11.2905i	0.765455	−	0.622467i
$330$	−15.1070	−	12.7015i	−0.831612	−	0.699194i
$331$	−3.12053			−0.171520			−0.0857599	−	0.996316i	$-0.527332\pi$
$331$	−3.12053			−0.171520			−0.0857599	+	0.996316i	$0.527332\pi$
$332$	−6.47350	+	8.91001i	−0.355279	+	0.489000i
$333$	−7.04104	−	2.28777i	−0.385847	−	0.125369i
$334$	−5.60317	+	1.82058i	−0.306592	+	0.0996178i
$335$	3.94112	−	14.6541i	0.215326	−	0.800640i
$336$	1.80840	−	6.80505i	0.0986563	−	0.371246i
$337$	−2.86162	−	8.80716i	−0.155882	−	0.479756i	0.842367	−	0.538904i	$-0.181162\pi$
$337$	−2.86162	−	8.80716i	−0.155882	−	0.479756i	−0.998249	+	0.0591480i	$0.981162\pi$
$338$	7.59788	−	23.3839i	0.413270	−	1.27192i
$339$	8.63526	−	11.8854i	0.469003	−	0.645527i
$340$	−11.4853	+	9.28304i	−0.622880	+	0.503443i
$341$	−32.8613	−	4.03662i	−1.77954	−	0.218595i
$342$	22.9646			1.24178
$343$	−2.78417	+	18.3098i	−0.150331	+	0.988636i
$344$	1.03220	−	3.17680i	0.0556527	−	0.171281i
$345$	−1.82738	−	1.18912i	−0.0983828	−	0.0640203i
$346$	−12.7650	−	17.5695i	−0.686249	−	0.944541i
$347$	19.0309	−	13.8268i	1.02163	−	0.742261i	0.0550171	−	0.998485i	$-0.482479\pi$
$347$	19.0309	−	13.8268i	1.02163	−	0.742261i	0.966617	+	0.256225i	$0.0824787\pi$
$348$	−0.310261	+	0.100810i	−0.0166317	+	0.00540397i
$349$	−5.47945	+	16.8640i	−0.293308	+	0.902710i	0.690476	+	0.723355i	$0.257401\pi$
$349$	−5.47945	+	16.8640i	−0.293308	+	0.902710i	−0.983784	+	0.179355i	$0.942599\pi$
$350$	−2.06675	+	13.0663i	−0.110472	+	0.698424i
$351$			17.6658i			0.942928i
$352$	1.60778	+	2.90087i	0.0856949	+	0.154617i
$353$	−21.9718			−1.16944			−0.584722	−	0.811234i	$-0.698796\pi$
$353$	−21.9718			−1.16944			−0.584722	+	0.811234i	$0.698796\pi$
$354$	4.25080	−	5.85073i	0.225928	−	0.310963i
$355$	31.8060	−	12.1754i	1.68809	−	0.646202i
$356$	3.97670	−	1.29211i	0.210765	−	0.0684817i
$357$	44.9430	+	11.9433i	2.37863	+	0.632107i
$358$	7.34414	−	5.33583i	0.388150	−	0.282007i
$359$	11.9648	−	3.88760i	0.631479	−	0.205180i	0.0242488	−	0.999706i	$-0.492281\pi$
$359$	11.9648	−	3.88760i	0.631479	−	0.205180i	0.607230	+	0.794526i	$0.292281\pi$
$360$	−8.52589	+	3.26372i	−0.449354	+	0.172013i
$361$	−10.2251	−	7.42898i	−0.538164	−	0.390999i
$362$			8.84776i			0.465028i
$363$	−18.8151	−	22.4277i	−0.987534	−	1.17715i
$364$	−10.2339	−	12.5848i	−0.536404	−	0.659623i
$365$	12.8441	−	0.661194i	0.672289	−	0.0346085i
$366$	−5.28155	+	16.2549i	−0.276071	+	0.849659i
$367$	−2.64029	−	8.12598i	−0.137822	−	0.424172i	0.858196	−	0.513322i	$-0.171585\pi$
$367$	−2.64029	−	8.12598i	−0.137822	−	0.424172i	−0.996018	+	0.0891492i	$0.971585\pi$
$368$	0.215344	+	0.296396i	0.0112256	+	0.0154507i
$369$	26.2977	−	19.1064i	1.36900	−	0.994638i
$370$	−3.39857	−	2.21154i	−0.176683	−	0.114973i
$371$	−21.1055	+	8.15154i	−1.09574	+	0.423207i
$372$	−15.6156	+	21.4931i	−0.809633	+	1.11436i
$373$	−13.2683			−0.687005			−0.343502	−	0.939152i	$-0.611613\pi$
$373$	−13.2683			−0.687005			−0.343502	+	0.939152i	$0.611613\pi$
$374$	−19.1584	+	10.6184i	−0.990657	+	0.549062i
$375$	26.5490	−	13.4346i	1.37099	−	0.693758i
$376$	5.47204	+	3.97567i	0.282199	+	0.205029i
$377$	−0.232233	+	0.714739i	−0.0119606	+	0.0368109i
$378$	6.40223	+	4.13894i	0.329295	+	0.212884i
$379$	6.87409	−	4.99432i	0.353098	−	0.256541i	−0.397069	−	0.917789i	$-0.629973\pi$
$379$	6.87409	−	4.99432i	0.353098	−	0.256541i	0.750168	+	0.661248i	$0.229973\pi$
$380$	12.1460	+	3.26657i	0.623074	+	0.167571i
$381$	−11.7179	−	36.0640i	−0.600327	−	1.84762i
$382$	−1.58914	+	4.89088i	−0.0813076	+	0.250239i
$383$	−4.68586	−	3.40448i	−0.239436	−	0.173961i	0.461596	−	0.887090i	$-0.347277\pi$
$383$	−4.68586	−	3.40448i	−0.239436	−	0.173961i	−0.701032	+	0.713130i	$0.747277\pi$
$384$	2.66134			0.135811
$385$	−6.36808	+	18.5593i	−0.324547	+	0.945869i
$386$	0.238717			0.0121504
$387$	11.0329	+	8.01586i	0.560833	+	0.407469i
$388$	−0.412692	+	1.27013i	−0.0209512	+	0.0644813i
$389$	2.39540	+	7.37228i	0.121452	+	0.373790i	0.993238	−	0.116097i	$-0.0370383\pi$
$389$	2.39540	+	7.37228i	0.121452	+	0.373790i	−0.871786	+	0.489886i	$0.837038\pi$
$390$	−9.47547	+	35.2323i	−0.479809	+	1.78406i
$391$	−1.95750	+	1.42221i	−0.0989953	+	0.0719243i
$392$	−6.95858	+	0.760358i	−0.351461	+	0.0384039i
$393$	4.58273	−	14.1042i	0.231168	−	0.711463i
$394$	10.0562	+	7.30624i	0.506623	+	0.368083i
$395$	10.0073	−	8.08840i	0.503521	−	0.406971i
$396$	−13.2922	+	2.58301i	−0.667957	+	0.129801i
$397$	−15.5475			−0.780306			−0.390153	−	0.920750i	$-0.627578\pi$
$397$	−15.5475			−0.780306			−0.390153	+	0.920750i	$0.627578\pi$
$398$	6.69688	−	9.21747i	0.335685	−	0.462030i
$399$	−14.2696	−	36.9460i	−0.714372	−	1.84961i
$400$	−4.97357	+	0.513425i	−0.248678	+	0.0256713i
$401$	−11.9500	+	8.68219i	−0.596755	+	0.433568i	−0.844726	−	0.535200i	$-0.820236\pi$
$401$	−11.9500	+	8.68219i	−0.596755	+	0.433568i	0.247971	+	0.968768i	$0.420236\pi$
$402$	−10.6159	−	14.6116i	−0.529474	−	0.728758i
$403$	18.9123	+	58.2060i	0.942088	+	2.89945i
$404$	−4.42094	+	13.6063i	−0.219950	+	0.676937i
$405$	0.526460	+	10.2268i	0.0261600	+	0.508173i
$406$	0.204618	+	0.251621i	0.0101550	+	0.0124877i
$407$	−4.39830	−	4.10191i	−0.218015	−	0.203324i
$408$			17.5764i			0.870162i
$409$	20.2729	+	14.7291i	1.00243	+	0.728309i	0.962608	−	0.270897i	$-0.0873204\pi$
$409$	20.2729	+	14.7291i	1.00243	+	0.728309i	0.0398235	+	0.999207i	$0.487320\pi$
$410$	16.6266	−	6.36466i	0.821127	−	0.314328i
$411$	−47.1007	+	15.3039i	−2.32330	+	0.754887i
$412$	−3.47209	+	2.52262i	−0.171058	+	0.124281i
$413$	−6.94839	−	1.84649i	−0.341908	−	0.0908599i
$414$	−1.42256	+	0.462216i	−0.0699148	+	0.0227167i
$415$	−8.80409	−	22.9991i	−0.432176	−	1.12898i
$416$	3.60362	−	4.95996i	0.176682	−	0.243182i
$417$	5.45231			0.267001
$418$	16.9072	+	7.88505i	0.826959	+	0.385670i
$419$			8.64633i			0.422401i	0.977443	+	0.211200i	$0.0677373\pi$
$419$			8.64633i			0.422401i	−0.977443	+	0.211200i	$0.932263\pi$
$420$	10.5485	+	11.6886i	0.514713	+	0.570347i
$421$	0.0256323	−	0.0788882i	0.00124924	−	0.00384477i	−0.950430	−	0.310939i	$-0.899357\pi$
$421$	0.0256323	−	0.0788882i	0.00124924	−	0.00384477i	0.951679	+	0.307094i	$0.0993566\pi$
$422$	17.1100	−	5.55938i	0.832902	−	0.270626i
$423$	−22.3407	+	16.2315i	−1.08624	+	0.789203i
$424$	−5.02641	−	6.91827i	−0.244104	−	0.335981i
$425$	−3.39084	−	32.8472i	−0.164480	−	1.59333i
$426$	12.5256	−	38.5500i	0.606869	−	1.86775i
$427$	16.9662	−	0.924191i	0.821052	−	0.0447247i
$428$	−0.765678			−0.0370105
$429$	−22.8725	+	49.0435i	−1.10429	+	2.36784i
$430$	4.69507	+	5.80893i	0.226417	+	0.280132i
$431$	−9.13761	+	12.5768i	−0.440143	+	0.605805i	−0.970244	−	0.242130i	$-0.922154\pi$
$431$	−9.13761	+	12.5768i	−0.440143	+	0.605805i	0.530101	+	0.847935i	$0.322154\pi$
$432$	−0.890418	+	2.74043i	−0.0428403	+	0.131849i
$433$	7.16192	+	22.0421i	0.344180	+	1.05928i	0.962021	+	0.272974i	$0.0880072\pi$
$433$	7.16192	+	22.0421i	0.344180	+	1.05928i	−0.617842	+	0.786302i	$0.711993\pi$
$434$	25.5254	+	6.78322i	1.22526	+	0.325605i
$435$	0.189453	−	0.704435i	0.00908356	−	0.0337751i
$436$	−4.57135	+	1.48532i	−0.218928	+	0.0711340i
$437$	1.95989	+	0.636807i	0.0937542	+	0.0304626i
$438$	8.99726	−	12.3837i	0.429906	−	0.591715i
$439$	−21.7686			−1.03896			−0.519480	−	0.854483i	$-0.673874\pi$
$439$	−21.7686			−1.03896			−0.519480	+	0.854483i	$0.673874\pi$
$440$	−7.39762	−	0.524573i	−0.352668	−	0.0250080i
$441$	5.82675	−	27.9787i	0.277464	−	1.33232i
$442$	32.7573	+	23.7996i	1.55811	+	1.13203i
$443$	−32.2541	−	10.4800i	−1.53244	−	0.497920i	−0.583161	−	0.812357i	$-0.698184\pi$
$443$	−32.2541	−	10.4800i	−1.53244	−	0.497920i	−0.949278	+	0.314437i	$0.898184\pi$
$444$	−4.58974	+	1.49130i	−0.217819	+	0.0707738i
$445$	−2.42827	+	9.02896i	−0.115111	+	0.428014i
$446$	−8.73761	+	6.34825i	−0.413738	+	0.300598i
$447$	−13.6987	+	4.45097i	−0.647925	+	0.210524i
$448$	−0.953236	−	2.46806i	−0.0450362	−	0.116605i
$449$	26.8630	+	19.5171i	1.26774	+	0.921070i	0.999110	−	0.0421723i	$-0.0134278\pi$
$449$	26.8630	+	19.5171i	1.26774	+	0.921070i	0.268634	+	0.963242i	$0.413428\pi$
$450$	4.28122	−	19.9596i	0.201818	−	0.940903i
$451$	25.9214	−	5.03719i	1.22059	−	0.237192i
$452$		−	5.52023i		−	0.259650i
$453$	5.92330	−	8.15272i	0.278301	−	0.383048i
$454$	−2.69822	−	0.876704i	−0.126634	−	0.0411458i
$455$	36.0676	−	3.83214i	1.69087	−	0.179654i
$456$	12.1107	−	8.79892i	0.567134	−	0.412047i
$457$	21.7958	−	15.8356i	1.01956	−	0.740757i	0.0533706	−	0.998575i	$-0.483004\pi$
$457$	21.7958	−	15.8356i	1.01956	−	0.740757i	0.966193	+	0.257818i	$0.0830035\pi$
$458$	15.8365	−	5.14560i	0.739992	−	0.240438i
$459$	−18.0988	−	5.88064i	−0.844778	−	0.274485i
$460$	−0.818135	+	0.0421164i	−0.0381457	+	0.00196369i
$461$	−22.2048			−1.03418			−0.517090	−	0.855931i	$-0.672985\pi$
$461$	−22.2048			−1.03418			−0.517090	+	0.855931i	$0.672985\pi$
$462$	12.4150	+	19.7797i	0.577597	+	0.920235i
$463$		−	11.8738i		−	0.551824i	−0.961183	−	0.275912i	$-0.911020\pi$
$463$		−	11.8738i		−	0.551824i	0.961183	−	0.275912i	$-0.0889799\pi$
$464$	−0.0720509	+	0.0991695i	−0.00334488	+	0.00460383i
$465$	−21.2376	−	55.4794i	−0.984869	−	2.57280i
$466$	8.64288	+	26.6000i	0.400373	+	1.23222i
$467$	0.845766	−	0.614485i	0.0391374	−	0.0284350i	−0.568045	−	0.822998i	$-0.692300\pi$
$467$	0.845766	−	0.614485i	0.0391374	−	0.0284350i	0.607182	+	0.794563i	$0.292300\pi$
$468$	14.7125	+	20.2501i	0.680087	+	0.936060i
$469$	−9.74803	+	15.0785i	−0.450122	+	0.696261i
$470$	−14.1248	+	5.40699i	−0.651529	+	0.249406i
$471$	−31.3514	−	22.7782i	−1.44460	−	1.04956i
$472$		−	2.71739i		−	0.125078i
$473$	5.37043	+	9.68972i	0.246933	+	0.445534i
$474$		−	15.3145i		−	0.703418i
$475$	−20.9352	+	18.7800i	−0.960574	+	0.861687i
$476$	16.3000	−	6.29551i	0.747109	−	0.288554i
$477$	33.2043	−	10.7887i	1.52032	−	0.493982i
$478$	−3.09908	−	4.26551i	−0.141748	−	0.195100i
$479$	−34.8006	+	25.2841i	−1.59008	+	1.15526i	−0.686249	+	0.727367i	$0.740744\pi$
$479$	−34.8006	+	25.2841i	−1.59008	+	1.15526i	−0.903830	+	0.427893i	$0.859256\pi$
$480$	−3.24573	+	4.98786i	−0.148147	+	0.227664i
$481$	−3.43546	+	10.5733i	−0.156643	+	0.482099i
$482$	21.8983	+	15.9100i	0.997438	+	0.724681i
$483$	1.62756	+	2.00143i	0.0740565	+	0.0910682i
$484$	−10.6730	−	2.66226i	−0.485135	−	0.121012i
$485$	−1.87717	−	2.32250i	−0.0852377	−	0.105460i
$486$	16.8536	+	12.2449i	0.764497	+	0.555439i
$487$	−16.0806	−	5.22490i	−0.728681	−	0.236763i	−0.0788982	−	0.996883i	$-0.525140\pi$
$487$	−16.0806	−	5.22490i	−0.728681	−	0.236763i	−0.649783	+	0.760120i	$0.725140\pi$
$488$	1.98455	+	6.10781i	0.0898362	+	0.276488i
$489$	16.2833	+	22.4120i	0.736356	+	1.01351i
$490$	7.06154	−	13.9691i	0.319008	−	0.631058i
$491$	25.2491	−	8.20394i	1.13948	−	0.370239i	0.322307	−	0.946635i	$-0.395542\pi$
$491$	25.2491	−	8.20394i	1.13948	−	0.370239i	0.817170	+	0.576397i	$0.195542\pi$
$492$	6.54777	−	20.1520i	0.295196	−	0.908520i
$493$	−0.654951	−	0.475850i	−0.0294975	−	0.0214312i
$494$		−	34.4851i		−	1.55156i
$495$	11.3699	−	28.0623i	0.511039	−	1.26131i
$496$			9.98254i			0.448229i
$497$	−40.2368	+	2.19180i	−1.80487	+	0.0983155i
$498$	−27.8757	−	9.05738i	−1.24914	−	0.405871i
$499$	−4.02459	−	12.3864i	−0.180165	−	0.554492i	0.819666	−	0.572841i	$-0.194159\pi$
$499$	−4.02459	−	12.3864i	−0.180165	−	0.554492i	−0.999832	+	0.0183492i	$0.994159\pi$
$500$	5.10344	−	9.94761i	0.228233	−	0.444870i
$501$	−9.21608	−	12.6848i	−0.411744	−	0.566717i
$502$	1.63837	−	0.532339i	0.0731240	−	0.0237594i
$503$	−18.2247	−	5.92158i	−0.812601	−	0.264030i	−0.126902	−	0.991915i	$-0.540503\pi$
$503$	−18.2247	−	5.92158i	−0.812601	−	0.264030i	−0.685699	+	0.727885i	$0.740503\pi$
$504$	10.7858	−	0.587531i	0.480440	−	0.0261707i
$505$	−20.1091	−	24.8797i	−0.894842	−	1.10713i
$506$	−1.20603	−	0.148146i	−0.0536146	−	0.00658591i
$507$	65.4350			2.90607
$508$	−11.5273	−	8.37504i	−0.511439	−	0.371582i
$509$	29.2187	+	9.49374i	1.29510	+	0.420803i	0.873873	−	0.486154i	$-0.161601\pi$
$509$	29.2187	+	9.49374i	1.29510	+	0.420803i	0.421224	+	0.906957i	$0.361601\pi$
$510$	−32.9416	−	21.4360i	−1.45868	−	0.949201i
$511$	−14.7070	−	3.90829i	−0.650598	−	0.172892i
$512$	0.809017	−	0.587785i	0.0357538	−	0.0259767i
$513$	5.00847	+	15.4145i	0.221129	+	0.680566i
$514$	−2.17154	+	6.68332i	−0.0957826	+	0.294789i
$515$	−0.493367	−	9.58393i	−0.0217404	−	0.422319i
$516$	8.88961			0.391343
$517$	−22.0211	+	4.27926i	−0.968487	+	0.188202i
$518$	3.02695	+	3.72227i	0.132996	+	0.163547i
$519$	33.9719	−	46.7583i	1.49120	−	2.05246i
$520$	4.90100	+	12.8030i	0.214923	+	0.561448i
$521$	−11.5371	+	3.74864i	−0.505451	+	0.164231i	−0.550633	−	0.834748i	$-0.685613\pi$
$521$	−11.5371	+	3.74864i	−0.505451	+	0.164231i	0.0451813	+	0.998979i	$0.485613\pi$
$522$	−0.294163	−	0.404880i	−0.0128752	−	0.0177211i
$523$	7.93984	+	10.9283i	0.347185	+	0.477859i	0.946523	−	0.322637i	$-0.104569\pi$
$523$	7.93984	+	10.9283i	0.347185	+	0.477859i	−0.599338	+	0.800496i	$0.704569\pi$
$524$	−1.72197	−	5.29967i	−0.0752245	−	0.231517i
$525$	−34.7716	+	5.51460i	−1.51756	+	0.240677i
$526$	16.9555	+	12.3189i	0.739297	+	0.537130i
$527$	−65.9283			−2.87188
$528$	−6.02010	+	6.45509i	−0.261991	+	0.280922i
$529$	22.8658			0.994164
$530$	19.0963	−	0.983052i	0.829492	−	0.0427010i
$531$	10.5513	+	3.42834i	0.457889	+	0.148777i
$532$	−12.4977	−	8.07958i	−0.541845	−	0.350294i
$533$	−28.6913	−	39.4902i	−1.24276	−	1.71051i
$534$	6.54087	+	9.00273i	0.283051	+	0.389586i
$535$	0.933811	−	1.43503i	0.0403722	−	0.0620418i
$536$	−6.45424	−	2.09711i	−0.278781	−	0.0905814i
$537$	19.5452	+	14.2004i	0.843439	+	0.612794i
$538$		−	3.58310i		−	0.154479i
$539$	13.8965	−	18.5981i	0.598564	−	0.801075i
$540$	−4.05015	−	5.01101i	−0.174291	−	0.215639i
$541$	−8.88743	+	12.2325i	−0.382101	+	0.525916i	−0.956140	−	0.292912i	$-0.905376\pi$
$541$	−8.88743	+	12.2325i	−0.382101	+	0.525916i	0.574039	+	0.818828i	$0.305376\pi$
$542$	−0.731804	+	2.25226i	−0.0314337	+	0.0967430i
$543$	−22.3944	+	7.27638i	−0.961035	+	0.312259i
$544$	3.88195	+	5.34304i	0.166437	+	0.229081i
$545$	2.79138	−	10.3791i	0.119569	−	0.444591i
$546$	23.4368	−	36.2527i	1.00300	−	1.55147i
$547$	−3.71042	+	11.4195i	−0.158646	+	0.488262i	−0.998512	−	0.0545315i	$-0.982633\pi$
$547$	−3.71042	+	11.4195i	−0.158646	+	0.488262i	0.839866	+	0.542794i	$0.182633\pi$
$548$	−10.9380	+	15.0549i	−0.467250	+	0.643114i
$549$	−26.2197			−1.11903
$550$	10.0052	−	13.2248i	0.426623	−	0.563908i
$551$			0.689496i			0.0293735i
$552$	−0.573103	+	0.788809i	−0.0243929	+	0.0335739i
$553$	−14.2023	+	5.48534i	−0.603945	+	0.233260i
$554$	−6.31401	−	19.4325i	−0.268257	−	0.825609i
$555$	2.80261	−	10.4208i	0.118964	−	0.442340i
$556$	1.65744	−	1.20420i	0.0702912	−	0.0510696i
$557$	−10.4575	−	32.1850i	−0.443101	−	1.36372i	−0.884553	−	0.466439i	$-0.845537\pi$
$557$	−10.4575	−	32.1850i	−0.443101	−	1.36372i	0.441453	−	0.897284i	$-0.354463\pi$
$558$	−38.7611	−	12.5942i	−1.64089	−	0.533157i
$559$	12.0371	−	16.5677i	0.509115	−	0.700737i
$560$	5.78819	+	1.22347i	0.244596	+	0.0517011i
$561$	−42.6317	−	39.7589i	−1.79991	−	1.67862i
$562$		−	7.49254i		−	0.316054i
$563$	7.09527	−	9.76580i	0.299030	−	0.411579i	−0.632891	−	0.774241i	$-0.718132\pi$
$563$	7.09527	−	9.76580i	0.299030	−	0.411579i	0.931921	+	0.362661i	$0.118132\pi$
$564$	−5.56255	+	17.1198i	−0.234225	+	0.720872i
$565$	10.3460	+	6.73240i	0.435259	+	0.283234i
$566$	−8.12347	−	11.1810i	−0.341455	−	0.469972i
$567$	3.11188	−	11.7101i	0.130687	−	0.491777i
$568$	−4.70652	−	14.4852i	−0.197481	−	0.607785i
$569$	9.07271	+	2.94790i	0.380348	+	0.123583i	0.492950	−	0.870058i	$-0.335919\pi$
$569$	9.07271	+	2.94790i	0.380348	+	0.123583i	−0.112602	+	0.993640i	$0.535919\pi$
$570$	1.72087	+	33.4288i	0.0720792	+	1.40018i
$571$		−	24.8767i		−	1.04106i	−0.853844	−	0.520528i	$-0.825735\pi$
$571$		−	24.8767i		−	1.04106i	0.853844	−	0.520528i	$-0.174265\pi$
$572$	3.87880	+	19.9603i	0.162181	+	0.834583i
$573$	−13.6861			−0.571746
$574$	−21.0338	+	1.14576i	−0.877932	+	0.0478231i
$575$	0.918852	−	1.58471i	0.0383188	−	0.0660869i
$576$	1.26163	+	3.88289i	0.0525678	+	0.161787i
$577$	16.1950	−	11.7663i	0.674206	−	0.489839i	−0.197225	−	0.980358i	$-0.563193\pi$
$577$	16.1950	−	11.7663i	0.674206	−	0.489839i	0.871430	+	0.490519i	$0.163193\pi$
$578$	−21.5341	+	15.6454i	−0.895699	+	0.650763i
$579$	0.196320	+	0.604211i	0.00815878	+	0.0251101i
$580$	−0.0979907	−	0.255983i	−0.00406884	−	0.0106291i
$581$	1.58490	+	29.0955i	0.0657529	+	1.20709i
$582$	−3.55421			−0.147327
$583$	28.1504	+	3.45793i	1.16587	+	0.143213i
$584$		−	5.75164i		−	0.238005i
$585$	−55.8958	+	2.87744i	−2.31101	+	0.118967i
$586$	19.0059	+	6.17540i	0.785128	+	0.255104i
$587$	−7.61631	−	23.4406i	−0.314359	−	0.967497i	−0.976018	−	0.217692i	$-0.930147\pi$
$587$	−7.61631	−	23.4406i	−0.314359	−	0.967497i	0.661659	−	0.749805i	$-0.269853\pi$
$588$	−7.64725	−	16.9874i	−0.315367	−	0.700549i
$589$	33.0043	+	45.4265i	1.35992	+	1.87177i
$590$	5.09293	+	3.31410i	0.209672	+	0.136439i
$591$	−10.2225	+	31.4616i	−0.420498	+	1.29416i
$592$	−1.06586	+	1.46703i	−0.0438066	+	0.0602947i
$593$		−	26.8833i		−	1.10397i	−0.833855	−	0.551983i	$-0.813871\pi$
$593$		−	26.8833i		−	1.10397i	0.833855	−	0.551983i	$-0.186129\pi$
$594$	−4.63274	−	8.35872i	−0.190084	−	0.342963i
$595$	−8.08024	+	38.2273i	−0.331257	+	1.56717i
$596$	−3.18120	+	4.37855i	−0.130307	+	0.179352i
$597$	28.8377	+	9.36993i	1.18025	+	0.383486i
$598$	0.694092	+	2.13620i	0.0283835	+	0.0873556i
$599$	33.9587	−	24.6724i	1.38751	−	1.00809i	0.391382	−	0.920228i	$-0.371997\pi$
$599$	33.9587	−	24.6724i	1.38751	−	1.00809i	0.996133	−	0.0878598i	$-0.0280028\pi$
$600$	−5.38977	−	12.1663i	−0.220037	−	0.496686i
$601$	14.5682	+	44.8364i	0.594251	+	1.82892i	0.558421	+	0.829558i	$0.311407\pi$
$601$	14.5682	+	44.8364i	0.594251	+	1.82892i	0.0358298	+	0.999358i	$0.488593\pi$
$602$	−3.18408	−	8.24403i	−0.129773	−	0.336002i
$603$	16.2857	−	22.4153i	0.663205	−	0.912823i
$604$		−	3.78656i		−	0.154073i
$605$	18.0062	−	16.7564i	0.732057	−	0.681243i
$606$	−38.0743			−1.54666
$607$	8.38847	−	11.5457i	0.340478	−	0.468627i	−0.604103	−	0.796906i	$-0.706469\pi$
$607$	8.38847	−	11.5457i	0.340478	−	0.468627i	0.944581	+	0.328279i	$0.106469\pi$
$608$	1.73817	−	5.34955i	0.0704923	−	0.216953i
$609$	−0.468596	+	0.724836i	−0.0189884	+	0.0293719i
$610$	−13.8676	−	3.72958i	−0.561481	−	0.151006i
$611$	24.3742	+	33.5482i	0.986075	+	1.35722i
$612$	−25.6440	+	8.33224i	−1.03660	+	0.336811i
$613$	−2.88889	+	8.89108i	−0.116681	+	0.359107i	−0.992294	−	0.123906i	$-0.960458\pi$
$613$	−2.88889	+	8.89108i	−0.116681	+	0.359107i	0.875613	+	0.483013i	$0.160458\pi$
$614$	−4.58886	+	6.31602i	−0.185191	+	0.254894i
$615$	29.7831	+	36.8489i	1.20097	+	1.48589i
$616$	8.14258	+	3.27083i	0.328074	+	0.131786i
$617$			16.4731i			0.663183i	0.943423	+	0.331592i	$0.107586\pi$
$617$			16.4731i			0.663183i	−0.943423	+	0.331592i	$0.892414\pi$
$618$	−9.24040	−	6.71354i	−0.371703	−	0.270058i
$619$	−2.85182	−	0.926614i	−0.114624	−	0.0372437i	0.251143	−	0.967950i	$-0.419194\pi$
$619$	−2.85182	−	0.926614i	−0.114624	−	0.0372437i	−0.365768	+	0.930706i	$0.619194\pi$
$620$	−18.7092	−	12.1746i	−0.751381	−	0.488943i
$621$	−0.620504	−	0.854051i	−0.0249000	−	0.0342719i
$622$	9.45801	+	13.0178i	0.379232	+	0.521967i
$623$	6.00613	−	9.29045i	0.240631	−	0.372214i
$624$	15.5177	+	5.04200i	0.621204	+	0.201841i
$625$	12.4197	+	21.6968i	0.496786	+	0.867873i
$626$	30.4103			1.21544
$627$	−6.05324	+	49.2782i	−0.241743	+	1.96798i
$628$	−14.5613			−0.581059
$629$	−9.68881	−	7.03933i	−0.386318	−	0.280677i
$630$	−12.0531	+	20.9313i	−0.480208	+	0.833924i
$631$	−8.84230	−	27.2138i	−0.352007	−	1.08336i	−0.957725	−	0.287686i	$-0.907114\pi$
$631$	−8.84230	−	27.2138i	−0.352007	−	1.08336i	0.605718	−	0.795679i	$-0.292886\pi$
$632$	−3.38238	−	4.65544i	−0.134544	−	0.185183i
$633$	28.1425	+	38.7348i	1.11856	+	1.53957i
$634$	5.00934	−	1.62763i	0.198946	−	0.0646416i
$635$	29.7549	−	11.3902i	1.18079	−	0.452007i
$636$	13.3770	−	18.4118i	0.530432	−	0.730077i
$637$	−42.0145	−	8.74980i	−1.66467	−	0.346680i
$638$	−0.0775529	−	0.399087i	−0.00307035	−	0.0158000i
$639$	62.1823			2.45989
$640$	0.114957	+	2.23311i	0.00454409	+	0.0882715i
$641$	−2.70797	+	8.33427i	−0.106958	+	0.329184i	−0.990185	−	0.139762i	$-0.955366\pi$
$641$	−2.70797	+	8.33427i	−0.106958	+	0.329184i	0.883227	+	0.468946i	$0.155366\pi$
$642$	−0.629692	−	1.93799i	−0.0248520	−	0.0764865i
$643$	14.2982	−	10.3882i	0.563865	−	0.409672i	−0.269007	−	0.963138i	$-0.586695\pi$
$643$	14.2982	−	10.3882i	0.563865	−	0.409672i	0.832871	+	0.553467i	$0.186695\pi$
$644$	0.936798	+	0.248948i	0.0369150	+	0.00980993i
$645$	−10.8417	+	16.6609i	−0.426890	+	0.656021i
$646$	35.3304	+	11.4795i	1.39005	+	0.451656i
$647$	−15.8594	−	11.5225i	−0.623497	−	0.452997i	0.230644	−	0.973038i	$-0.425917\pi$
$647$	−15.8594	−	11.5225i	−0.623497	−	0.452997i	−0.854141	+	0.520041i	$0.825917\pi$
$648$	4.57961			0.179904
$649$	6.59106	+	6.14691i	0.258722	+	0.241287i
$650$	−29.9725	−	6.42893i	−1.17562	−	0.252164i
$651$	3.82317	+	70.1854i	0.149842	+	2.75078i
$652$	9.89989	+	3.21667i	0.387710	+	0.125975i
$653$	−6.62892	+	2.15387i	−0.259410	+	0.0842873i	−0.435835	−	0.900027i	$-0.643547\pi$
$653$	−6.62892	+	2.15387i	−0.259410	+	0.0842873i	0.176425	+	0.984314i	$0.443547\pi$
$654$	−7.51894	−	10.3489i	−0.294014	−	0.404675i
$655$	12.0327	+	3.23611i	0.470157	+	0.126445i
$656$	−2.46033	−	7.57212i	−0.0960598	−	0.295642i
$657$	22.3330	+	7.25643i	0.871293	+	0.283100i
$658$	17.8689	−	0.973361i	0.696601	−	0.0379456i
$659$			38.9305i			1.51652i	0.651955	+	0.758258i	$0.273949\pi$
$659$			38.9305i			1.51652i	−0.651955	+	0.758258i	$0.726051\pi$
$660$	−4.75605	−	19.1554i	−0.185129	−	0.745623i
$661$		−	11.9736i		−	0.465719i	−0.972510	−	0.232859i	$-0.925192\pi$
$661$		−	11.9736i		−	0.465719i	0.972510	−	0.232859i	$-0.0748082\pi$
$662$	−2.52456	−	1.83420i	−0.0981198	−	0.0712882i
$663$	−33.2992	+	102.484i	−1.29323	+	3.98016i
$664$	−10.4743	+	3.40332i	−0.406483	+	0.132074i
$665$	30.3848	−	13.5694i	1.17827	−	0.526199i
$666$	−4.35160	−	5.98947i	−0.168621	−	0.232087i
$667$	−0.0138777	−	0.0427112i	−0.000537346	−	0.00165378i
$668$	−5.60317	−	1.82058i	−0.216793	−	0.0704404i
$669$	−23.2537	−	16.8948i	−0.899041	−	0.653191i
$670$	11.8019	−	9.53890i	0.455947	−	0.368520i
$671$	−19.3037	−	9.00270i	−0.745211	−	0.347545i
$672$	5.46293	−	4.44245i	0.210737	−	0.171371i
$673$	17.4878	+	12.7057i	0.674107	+	0.489767i	0.871397	−	0.490578i	$-0.163214\pi$
$673$	17.4878	+	12.7057i	0.674107	+	0.489767i	−0.197291	+	0.980345i	$0.563214\pi$
$674$	2.86162	−	8.80716i	0.110225	−	0.339239i
$675$	14.3311	−	1.47941i	0.551605	−	0.0569426i
$676$	19.8915	−	14.4520i	0.765058	−	0.555847i
$677$	14.9667	+	20.5999i	0.575218	+	0.791720i	0.993161	−	0.116754i	$-0.0372488\pi$
$677$	14.9667	+	20.5999i	0.575218	+	0.791720i	−0.417943	+	0.908473i	$0.637249\pi$
$678$	13.9721	−	4.53983i	0.536597	−	0.174351i
$679$	1.27304	+	3.29610i	0.0488550	+	0.126493i
$680$	−14.7483	+	0.759220i	−0.565570	+	0.0291148i
$681$		−	7.55041i		−	0.289332i
$682$	−24.2127	−	22.5811i	−0.927153	−	0.864675i
$683$		−	17.7273i		−	0.678315i	−0.940730	−	0.339158i	$-0.889858\pi$
$683$		−	17.7273i		−	0.678315i	0.940730	−	0.339158i	$-0.110142\pi$
$684$	18.5788	+	13.4983i	0.710377	+	0.516119i
$685$	−14.8760	−	38.8608i	−0.568381	−	1.48480i
$686$	−13.0147	+	13.1764i	−0.496902	+	0.503079i
$687$	26.0479	+	35.8518i	0.993788	+	1.36783i
$688$	2.70234	−	1.96337i	0.103026	−	0.0748527i
$689$	−16.2010	−	49.8616i	−0.617210	−	1.89958i
$690$	−0.779432	−	2.03613i	−0.0296725	−	0.0775141i
$691$	2.99576	−	4.12331i	0.113964	−	0.156858i	−0.748224	−	0.663446i	$-0.769093\pi$
$691$	2.99576	−	4.12331i	0.113964	−	0.156858i	0.862188	+	0.506588i	$0.169093\pi$
$692$		−	21.7171i		−	0.825559i
$693$	−22.9732	+	27.4902i	−0.872679	+	1.04427i
$694$	23.5235			0.892941
$695$	0.235515	+	4.57500i	0.00893358	+	0.173540i
$696$	−0.310261	−	0.100810i	−0.0117604	−	0.00382118i
$697$	50.0090	−	16.2489i	1.89423	−	0.615471i
$698$	−14.3454	+	10.4225i	−0.542981	+	0.394499i
$699$	−60.2190	+	43.7516i	−2.27769	+	1.65484i
$700$	−9.35222	+	9.35606i	−0.353481	+	0.353626i
$701$	−4.92264	−	1.59946i	−0.185926	−	0.0604109i	0.214574	−	0.976708i	$-0.431164\pi$
$701$	−4.92264	−	1.59946i	−0.185926	−	0.0604109i	−0.400500	+	0.916297i	$0.631164\pi$
$702$	−10.3837	+	14.2919i	−0.391906	+	0.539413i
$703$			10.1998i			0.384694i
$704$	−0.404368	+	3.29188i	−0.0152402	+	0.124067i
$705$	−25.3018	−	31.3043i	−0.952919	−	1.17899i
$706$	−17.7756	−	12.9147i	−0.668993	−	0.486052i
$707$	13.6374	+	35.3093i	0.512889	+	1.32794i
$708$	6.87795	−	2.23478i	0.258489	−	0.0839882i
$709$	0.274682	−	0.199568i	0.0103159	−	0.00749493i	−0.582615	−	0.812748i	$-0.697971\pi$
$709$	0.274682	−	0.199568i	0.0103159	−	0.00749493i	0.592931	+	0.805253i	$0.297971\pi$
$710$	32.8881	+	8.84501i	1.23427	+	0.331947i
$711$	22.3438	−	7.25996i	0.837960	−	0.272270i
$712$	3.97670	+	1.29211i	0.149033	+	0.0484239i
$713$	−2.95878	−	2.14968i	−0.110807	−	0.0805062i
$714$	29.3395	+	36.0792i	1.09800	+	1.35023i
$715$	−42.1401	−	17.0737i	−1.57595	−	0.638521i
$716$	9.07785			0.339255
$717$	8.24768	−	11.3520i	0.308015	−	0.423947i
$718$	11.9648	+	3.88760i	0.446523	+	0.145084i
$719$	25.2715	−	8.21121i	0.942468	−	0.306226i	0.202817	−	0.979217i	$-0.434990\pi$
$719$	25.2715	−	8.21121i	0.942468	−	0.306226i	0.739651	+	0.672990i	$0.234990\pi$
$720$	−8.81595	−	2.37099i	−0.328551	−	0.0883614i
$721$	−2.91627	+	10.9740i	−0.108608	+	0.408693i
$722$	−3.90564	−	12.0203i	−0.145353	−	0.447351i
$723$	−22.2605	+	68.5106i	−0.827875	+	2.54794i
$724$	−5.20058	+	7.15799i	−0.193278	+	0.266024i
$725$	0.599271	+	0.128540i	0.0222564	+	0.00477387i
$726$	−2.03902	−	29.2036i	−0.0756753	−	1.08385i
$727$	−4.76723			−0.176807			−0.0884033	−	0.996085i	$-0.528176\pi$
$727$	−4.76723			−0.176807			−0.0884033	+	0.996085i	$0.528176\pi$
$728$	−0.882272	−	16.1967i	−0.0326992	−	0.600289i
$729$	−12.8869	+	39.6617i	−0.477291	+	1.46895i
$730$	10.7797	+	7.01463i	0.398975	+	0.259623i
$731$	12.9668	+	17.8473i	0.479594	+	0.660105i
$732$	−13.8273	+	10.0461i	−0.511071	+	0.371315i
$733$	−5.41142	+	1.75828i	−0.199876	+	0.0649435i	−0.407244	−	0.913319i	$-0.633510\pi$
$733$	−5.41142	+	1.75828i	−0.199876	+	0.0649435i	0.207368	+	0.978263i	$0.433510\pi$
$734$	2.64029	−	8.12598i	0.0974549	−	0.299935i
$735$	41.1642	+	6.38520i	1.51837	+	0.235522i
$736$			0.366365i			0.0135044i
$737$	19.6864	−	10.9110i	0.725159	−	0.401913i
$738$	32.5057			1.19655
$739$	−11.2166	+	15.4383i	−0.412609	+	0.567907i	−0.963852	−	0.266437i	$-0.914154\pi$
$739$	−11.2166	+	15.4383i	−0.412609	+	0.567907i	0.551244	+	0.834344i	$0.314154\pi$
$740$	−1.44959	−	3.78681i	−0.0532881	−	0.139206i
$741$	87.2845	−	28.3605i	3.20648	−	1.04185i
$742$	−21.8661	−	5.81078i	−0.802729	−	0.213320i
$743$	−32.8577	+	23.8725i	−1.20543	+	0.875798i	−0.994808	−	0.101769i	$-0.967550\pi$
$743$	−32.8577	+	23.8725i	−1.20543	+	0.875798i	−0.210624	+	0.977567i	$0.567550\pi$
$744$	−25.2666	+	8.20962i	−0.926319	+	0.300979i
$745$	−4.32650	−	11.3022i	−0.158511	−	0.414081i
$746$	−10.7342	−	7.79889i	−0.393009	−	0.285538i
$747$		−	44.9644i		−	1.64516i
$748$	−21.7408	−	2.67059i	−0.794921	−	0.0976465i
$749$	−1.57171	+	1.27811i	−0.0574290	+	0.0467012i
$750$	29.3753	+	4.73634i	1.07263	+	0.172947i
$751$	12.3389	−	37.9753i	0.450253	−	1.38574i	−0.426365	−	0.904551i	$-0.640206\pi$
$751$	12.3389	−	37.9753i	0.450253	−	1.38574i	0.876619	−	0.481186i	$-0.159794\pi$
$752$	2.09013	+	6.43277i	0.0762193	+	0.234579i
$753$	2.69478	+	3.70905i	0.0982034	+	0.135165i
$754$	−0.607993	+	0.441733i	−0.0221418	+	0.0160870i
$755$	7.09676	+	4.61805i	0.258278	+	0.168068i
$756$	2.74671	+	7.11162i	0.0998967	+	0.258647i
$757$	−23.5366	+	32.3954i	−0.855453	+	1.17743i	0.127182	+	0.991879i	$0.459407\pi$
$757$	−23.5366	+	32.3954i	−0.855453	+	1.17743i	−0.982635	+	0.185551i	$0.940593\pi$
$758$	8.49684			0.308619
$759$	−0.616867	−	3.17440i	−0.0223909	−	0.115223i
$760$	7.90624	+	9.78192i	0.286790	+	0.354828i
$761$	−32.9258	−	23.9220i	−1.19356	−	0.867173i	−0.199925	−	0.979811i	$-0.564070\pi$
$761$	−32.9258	−	23.9220i	−1.19356	−	0.867173i	−0.993636	+	0.112639i	$0.964070\pi$
$762$	11.7179	−	36.0640i	0.424495	−	1.30646i
$763$	−6.90424	+	10.6797i	−0.249950	+	0.386630i
$764$	−4.16043	+	3.02273i	−0.150519	+	0.109358i
$765$	15.6588	−	58.2237i	0.566147	−	2.10508i
$766$	−1.78984	−	5.50856i	−0.0646695	−	0.199032i
$767$	5.14820	−	15.8445i	0.185891	−	0.572113i
$768$	2.15307	+	1.56429i	0.0776921	+	0.0564466i
$769$	35.9089			1.29491			0.647454	−	0.762104i	$-0.275834\pi$
$769$	35.9089			1.29491			0.647454	+	0.762104i	$0.275834\pi$
$770$	−16.0608	+	11.2717i	−0.578790	+	0.406205i
$771$	−18.7019			−0.673532
$772$	0.193126	+	0.140314i	0.00695075	+	0.00505001i
$773$	−9.34889	+	28.7729i	−0.336256	+	1.03489i	0.629844	+	0.776722i	$0.283119\pi$
$773$	−9.34889	+	28.7729i	−0.336256	+	1.03489i	−0.966100	+	0.258169i	$0.916881\pi$
$774$	4.21419	+	12.9699i	0.151476	+	0.466195i
$775$	45.6351	−	20.2168i	1.63926	−	0.726208i
$776$	−1.08044	+	0.784986i	−0.0387856	+	0.0281794i
$777$	−6.93202	+	10.7226i	−0.248685	+	0.384672i
$778$	−2.39540	+	7.37228i	−0.0858792	+	0.264309i
$779$	−36.2310	−	26.3233i	−1.29811	−	0.943131i
$780$	−28.3748	+	22.9340i	−1.01598	+	0.821168i
$781$	45.7804	+	21.3507i	1.63815	+	0.763987i
$782$	−2.41961			−0.0865250
$783$	0.207611	−	0.285752i	0.00741942	−	0.0102120i
$784$	−6.07654	−	3.47501i	−0.217019	−	0.124107i
$785$	17.7588	−	27.2907i	0.633838	−	0.974047i
$786$	11.9978	−	8.71688i	0.427946	−	0.310921i
$787$	23.7314	+	32.6635i	0.845933	+	1.16433i	0.984744	+	0.174009i	$0.0556720\pi$
$787$	23.7314	+	32.6635i	0.845933	+	1.16433i	−0.138811	+	0.990319i	$0.544328\pi$
$788$	3.84112	+	11.8217i	0.136834	+	0.421132i
$789$	−17.2360	+	53.0469i	−0.613617	+	1.88852i
$790$	12.8503	−	0.661515i	0.457193	−	0.0235357i
$791$	−9.21467	−	11.3314i	−0.327636	−	0.402898i
$792$	−12.2718	−	5.72324i	−0.436061	−	0.203367i
$793$			39.3731i			1.39818i
$794$	−12.5782	−	9.13859i	−0.446383	−	0.324316i
$795$	18.1930	+	47.5259i	0.645238	+	1.68557i
$796$	10.8358	−	3.52076i	0.384064	−	0.124790i
$797$	−28.7925	+	20.9189i	−1.01988	+	0.740987i	−0.966259	−	0.257574i	$-0.917077\pi$
$797$	−28.7925	+	20.9189i	−1.01988	+	0.740987i	−0.0536226	+	0.998561i	$0.517077\pi$
$798$	10.1720	−	38.2774i	0.360084	−	1.35500i
$799$	−42.4843	+	13.8040i	−1.50299	+	0.488350i
$800$	−4.32549	−	2.50802i	−0.152929	−	0.0886719i
$801$	−10.0342	+	13.8109i	−0.354542	+	0.487985i
$802$	−14.7710			−0.521583
$803$	13.9506	+	13.0106i	0.492308	+	0.459133i
$804$		−	18.0609i		−	0.636958i
$805$	−1.60908	+	1.45213i	−0.0567128	+	0.0511808i
$806$	−18.9123	+	58.2060i	−0.666157	+	2.05022i
$807$	9.06912	−	2.94674i	0.319248	−	0.103730i
$808$	−11.5742	+	8.40913i	−0.407178	+	0.295832i
$809$	9.15822	+	12.6052i	0.321986	+	0.443175i	0.939072	−	0.343720i	$-0.111687\pi$
$809$	9.15822	+	12.6052i	0.321986	+	0.443175i	−0.617086	+	0.786895i	$0.711687\pi$
$810$	−5.58523	+	8.58308i	−0.196245	+	0.301579i
$811$	3.98878	−	12.2762i	0.140065	−	0.431076i	−0.856278	−	0.516515i	$-0.827229\pi$
$811$	3.98878	−	12.2762i	0.140065	−	0.431076i	0.996343	+	0.0854388i	$0.0272292\pi$
$812$	0.0176402	+	0.323837i	0.000619049	+	0.0113644i
$813$	−6.30249			−0.221038
$814$	−1.14725	−	5.90377i	−0.0402112	−	0.206927i
$815$	−18.1024	+	14.6313i	−0.634101	+	0.512513i
$816$	−10.3312	+	14.2196i	−0.361663	+	0.497786i
$817$	5.80599	−	17.8690i	0.203126	−	0.625157i
$818$	7.74357	+	23.8323i	0.270748	+	0.833275i
$819$	64.0030	+	17.0084i	2.23645	+	0.594322i
$820$	17.1922	+	4.62372i	0.600378	+	0.161467i
$821$	−48.6237	+	15.7988i	−1.69698	+	0.551382i	−0.988082	−	0.153930i	$-0.950807\pi$
$821$	−48.6237	+	15.7988i	−1.69698	+	0.551382i	−0.708897	+	0.705312i	$0.750807\pi$
$822$	−47.1007	−	15.3039i	−1.64282	−	0.533786i
$823$	29.2740	−	40.2922i	1.02043	−	1.40450i	0.108525	−	0.994094i	$-0.465387\pi$
$823$	29.2740	−	40.2922i	1.02043	−	1.40450i	0.911903	−	0.410405i	$-0.134613\pi$
$824$	−4.29174			−0.149510
$825$	41.7014	+	14.4479i	1.45186	+	0.503011i
$826$	−4.53602	−	5.57800i	−0.157828	−	0.194084i
$827$	18.6318	+	13.5368i	0.647892	+	0.470721i	0.862553	−	0.505967i	$-0.168864\pi$
$827$	18.6318	+	13.5368i	0.647892	+	0.470721i	−0.214660	+	0.976689i	$0.568864\pi$
$828$	−1.42256	−	0.462216i	−0.0494372	−	0.0160631i
$829$	−7.29617	+	2.37067i	−0.253407	+	0.0823368i	−0.432966	−	0.901410i	$-0.642533\pi$
$829$	−7.29617	+	2.37067i	−0.253407	+	0.0823368i	0.179559	+	0.983747i	$0.442533\pi$
$830$	6.39589	−	23.7816i	0.222005	−	0.825472i
$831$	43.9927	−	31.9626i	1.52609	−	1.10877i
$832$	5.83078	−	1.89454i	0.202146	−	0.0656812i
$833$	22.9502	−	40.1316i	0.795178	−	1.39048i
$834$	4.41101	+	3.20479i	0.152741	+	0.110973i
$835$	10.2457	−	8.28108i	0.354567	−	0.286579i
$836$	9.04351	+	16.3170i	0.312776	+	0.564334i
$837$		−	28.7642i		−	0.994238i
$838$	−5.08218	+	6.99503i	−0.175561	+	0.241639i
$839$	25.5727	+	8.30908i	0.882868	+	0.286861i	0.715148	−	0.698973i	$-0.246359\pi$
$839$	25.5727	+	8.30908i	0.882868	+	0.286861i	0.167721	+	0.985835i	$0.446359\pi$
$840$	1.66349	+	15.6566i	0.0573959	+	0.540202i
$841$	−23.4493	+	17.0369i	−0.808598	+	0.587481i
$842$	0.0671063	−	0.0487556i	0.00231263	−	0.00168023i
$843$	18.9642	−	6.16185i	0.653163	−	0.212225i
$844$	17.1100	+	5.55938i	0.588950	+	0.191362i
$845$	2.82649	+	54.9061i	0.0972341	+	1.88883i
$846$	−27.6147			−0.949412
$847$	−26.3524	+	12.3511i	−0.905480	+	0.424388i
$848$		−	8.55145i		−	0.293658i
$849$	21.6193	−	29.7564i	0.741972	−	1.02124i
$850$	16.5639	−	28.5671i	0.568136	−	0.979842i
$851$	−0.205295	−	0.631834i	−0.00703743	−	0.0216590i
$852$	32.7926	−	23.8252i	1.12345	−	0.816238i
$853$	31.1663	+	42.8967i	1.06711	+	1.46876i	0.872965	+	0.487783i	$0.162194\pi$
$853$	31.1663	+	42.8967i	1.06711	+	1.46876i	0.194148	+	0.980972i	$0.437806\pi$
$854$	14.2692	+	9.22480i	0.488281	+	0.315666i
$855$	−47.9568	+	18.3579i	−1.64009	+	0.627828i
$856$	−0.619447	−	0.450054i	−0.0211723	−	0.0153825i
$857$			35.4854i			1.21216i	0.795404	+	0.606079i	$0.207259\pi$
$857$			35.4854i			1.21216i	−0.795404	+	0.606079i	$0.792741\pi$
$858$	−47.3313	+	26.2329i	−1.61586	+	0.895577i
$859$		−	15.1972i		−	0.518521i	−0.965807	−	0.259260i	$-0.916521\pi$
$859$		−	15.1972i		−	0.518521i	0.965807	−	0.259260i	$-0.0834788\pi$
$860$	0.383990	+	7.45922i	0.0130939	+	0.254357i
$861$	−20.1981	−	52.2959i	−0.688350	−	1.78224i
$862$	−14.7850	+	4.80393i	−0.503578	+	0.163622i
$863$	−2.42077	−	3.33190i	−0.0824040	−	0.113419i	0.765825	−	0.643049i	$-0.222331\pi$
$863$	−2.42077	−	3.33190i	−0.0824040	−	0.113419i	−0.848229	+	0.529630i	$0.822331\pi$
$864$	−2.33115	+	1.69368i	−0.0793072	+	0.0576200i
$865$	40.7020	+	26.4859i	1.38391	+	0.900546i
$866$	−7.16192	+	22.0421i	−0.243372	+	0.749021i
$867$	−57.3094	−	41.6377i	−1.94633	−	1.41409i
$868$	16.6634	+	20.4912i	0.565593	+	0.695516i
$869$	18.9429	+	2.32691i	0.642595	+	0.0789351i
$870$	0.567327	−	0.458543i	0.0192342	−	0.0155460i
$871$	−33.6602	−	24.4556i	−1.14053	−	0.828646i
$872$	−4.57135	−	1.48532i	−0.154805	−	0.0502993i
$873$	−1.68490	−	5.18559i	−0.0570252	−	0.175506i
$874$	1.21128	+	1.66718i	0.0409721	+	0.0563933i
$875$	−6.12924	−	28.9384i	−0.207206	−	0.978297i
$876$	14.5579	−	4.73014i	0.491865	−	0.159817i
$877$	−8.37473	+	25.7748i	−0.282794	+	0.870352i	0.704257	+	0.709946i	$0.251280\pi$
$877$	−8.37473	+	25.7748i	−0.282794	+	0.870352i	−0.987051	+	0.160406i	$0.948720\pi$
$878$	−17.6112	−	12.7953i	−0.594349	−	0.431819i
$879$			53.1842i			1.79386i
$880$	−5.67647	−	4.77260i	−0.191354	−	0.160884i
$881$		−	46.1713i		−	1.55555i	−0.628543	−	0.777775i	$-0.716348\pi$
$881$		−	46.1713i		−	1.55555i	0.628543	−	0.777775i	$-0.283652\pi$
$882$	21.1594	−	19.2103i	0.712474	−	0.646846i
$883$	−38.8675	−	12.6288i	−1.30800	−	0.424994i	−0.429641	−	0.903000i	$-0.641360\pi$
$883$	−38.8675	−	12.6288i	−1.30800	−	0.424994i	−0.878357	+	0.478006i	$0.841360\pi$
$884$	12.5122	+	38.5086i	0.420831	+	1.29518i
$885$	−4.19984	+	15.6161i	−0.141176	+	0.524930i
$886$	−19.9341	−	27.4370i	−0.669700	−	0.921764i
$887$	3.36045	−	1.09188i	0.112833	−	0.0366616i	−0.252056	−	0.967713i	$-0.581107\pi$
$887$	3.36045	−	1.09188i	0.112833	−	0.0366616i	0.364889	+	0.931051i	$0.381107\pi$
$888$	−4.58974	−	1.49130i	−0.154022	−	0.0500446i
$889$	−37.6421	+	2.05046i	−1.26248	+	0.0687701i
$890$	−7.27160	+	5.87728i	−0.243745	+	0.197007i
$891$	−10.3594	+	11.1079i	−0.347051	+	0.372128i
$892$	−10.8003			−0.361620
$893$	30.7794	+	22.3625i	1.02999	+	0.748334i
$894$	−13.6987	−	4.45097i	−0.458153	−	0.148863i
$895$	−11.0712	+	17.0137i	−0.370071	+	0.568704i
$896$	0.679508	−	2.55700i	0.0227008	−	0.0854235i
$897$	−4.83607	+	3.51361i	−0.161472	+	0.117316i
$898$	10.2608	+	31.5794i	0.342406	+	1.05382i
$899$	0.378133	−	1.16377i	0.0126114	−	0.0388140i
$900$	15.1955	−	13.6312i	0.506517	−	0.454373i
$901$	56.4768			1.88152
$902$	23.9316	+	11.1610i	0.796837	+	0.371622i
$903$	18.2477	−	14.8390i	0.607246	−	0.493812i
$904$	3.24471	−	4.46596i	0.107917	−	0.148536i
$905$	−7.07290	−	18.4767i	−0.235111	−	0.614186i
$906$	9.58410	−	3.11406i	0.318410	−	0.103458i
$907$	−8.89462	−	12.2424i	−0.295341	−	0.406502i	0.635399	−	0.772184i	$-0.280836\pi$
$907$	−8.89462	−	12.2424i	−0.295341	−	0.406502i	−0.930740	+	0.365682i	$0.880836\pi$
$908$	−1.66759	−	2.29524i	−0.0553409	−	0.0761702i
$909$	−18.0494	−	55.5504i	−0.598662	−	1.84249i
$910$	31.4317	+	18.0997i	1.04195	+	0.600000i
$911$	34.4815	+	25.0523i	1.14242	+	0.830020i	0.987455	−	0.157900i	$-0.0504723\pi$
$911$	34.4815	+	25.0523i	1.14242	+	0.830020i	0.154969	+	0.987919i	$0.450472\pi$
$912$	14.9696			0.495693
$913$	15.4388	−	33.1041i	0.510950	−	1.09559i
$914$	26.9411			0.891132
$915$	−1.96479	−	38.1671i	−0.0649539	−	1.26177i
$916$	15.8365	+	5.14560i	0.523254	+	0.170015i
$917$	−12.3812	−	8.00425i	−0.408863	−	0.264323i
$918$	−11.1856	−	15.3957i	−0.369181	−	0.508135i
$919$	9.24341	+	12.7225i	0.304912	+	0.419675i	0.933786	−	0.357832i	$-0.116484\pi$
$919$	9.24341	+	12.7225i	0.304912	+	0.419675i	−0.628874	+	0.777507i	$0.716484\pi$
$920$	−0.686640	−	0.446815i	−0.0226379	−	0.0147310i
$921$	−19.7602	−	6.42049i	−0.651122	−	0.211562i
$922$	−17.9640	−	13.0516i	−0.591614	−	0.429833i
$923$		−	93.3767i		−	3.07353i
$924$	−1.58229	+	23.2995i	−0.0520536	+	0.766496i
$925$	8.86512	+	1.90152i	0.291483	+	0.0625216i
$926$	6.97927	−	9.60614i	0.229353	−	0.315677i
$927$	5.41457	−	16.6643i	0.177838	−	0.547329i
$928$	−0.116581	+	0.0378794i	−0.00382695	+	0.00124345i
$929$	16.2531	+	22.3705i	0.533248	+	0.733953i	0.987621	−	0.156859i	$-0.0501368\pi$
$929$	16.2531	+	22.3705i	0.533248	+	0.733953i	−0.454373	+	0.890811i	$0.650137\pi$
$930$	15.4284	−	57.3669i	0.505918	−	1.88114i
$931$	−39.1410	+	4.27690i	−1.28279	+	0.140170i
$932$	−8.64288	+	26.6000i	−0.283107	+	0.871313i
$933$	−25.1709	+	34.6448i	−0.824059	+	1.13422i
$934$	1.04542			0.0342073
$935$	31.5200	−	37.4894i	1.03081	−	1.22604i
$936$			25.0305i			0.818146i
$937$	9.49990	−	13.0755i	0.310348	−	0.427158i	−0.625142	−	0.780511i	$-0.714959\pi$
$937$	9.49990	−	13.0755i	0.310348	−	0.427158i	0.935490	+	0.353354i	$0.114959\pi$
$938$	−16.7493	+	6.46903i	−0.546883	+	0.211221i
$939$	25.0094	+	76.9709i	0.816150	+	2.51185i
$940$	−14.6054	−	3.92800i	−0.476374	−	0.128117i
$941$	9.83334	−	7.14434i	0.320558	−	0.232899i	−0.415856	−	0.909431i	$-0.636518\pi$
$941$	9.83334	−	7.14434i	0.320558	−	0.232899i	0.736413	+	0.676532i	$0.236518\pi$
$942$	−11.9752	−	36.8558i	−0.390173	−	1.20083i
$943$	2.77416	+	0.901380i	0.0903392	+	0.0293530i
$944$	1.59724	−	2.19842i	0.0519859	−	0.0715524i
$945$	−16.6784	−	3.52537i	−0.542548	−	0.114680i
$946$	−1.35070	+	10.9958i	−0.0439152	+	0.357505i
$947$		−	46.0049i		−	1.49496i	−0.664285	−	0.747480i	$-0.731264\pi$
$947$		−	46.0049i		−	1.49496i	0.664285	−	0.747480i	$-0.268736\pi$
$948$	9.00164	−	12.3897i	0.292360	−	0.402398i
$949$	10.8967	−	33.5366i	0.353722	−	1.08864i
$950$	−27.9756	+	2.88794i	−0.907648	+	0.0936971i
$951$	8.23935	+	11.3405i	0.267179	+	0.367741i
$952$	16.8874	+	4.48772i	0.547323	+	0.145448i
$953$	−0.284841	−	0.876650i	−0.00922690	−	0.0283975i	0.946337	−	0.323181i	$-0.104752\pi$
$953$	−0.284841	−	0.876650i	−0.00922690	−	0.0283975i	−0.955564	+	0.294784i	$0.904752\pi$
$954$	33.2043	+	10.7887i	1.07503	+	0.349298i
$955$	−0.591177	−	11.4839i	−0.0191300	−	0.371611i
$956$		−	5.27246i		−	0.170524i
$957$	0.946343	−	0.524501i	0.0305909	−	0.0169547i
$958$	−43.0159			−1.38978
$959$	2.67795	+	49.1617i	0.0864757	+	1.58751i
$960$	−5.55764	+	2.12747i	−0.179372	+	0.0686639i
$961$	−21.2144	−	65.2911i	−0.684334	−	2.10616i
$962$	−8.99415	+	6.53463i	−0.289983	+	0.210685i
$963$	2.52902	−	1.83744i	0.0814966	−	0.0592107i
$964$	8.36439	+	25.7429i	0.269399	+	0.829124i
$965$	−0.498510	+	0.190830i	−0.0160476	+	0.00614304i
$966$	0.140313	+	2.57585i	0.00451448	+	0.0828765i
$967$	−43.1734			−1.38836			−0.694182	−	0.719800i	$-0.744234\pi$
$967$	−43.1734			−1.38836			−0.694182	+	0.719800i	$0.744234\pi$
$968$	−7.06978	−	8.42723i	−0.227231	−	0.270862i
$969$			98.8647i			3.17599i
$970$	−0.153525	−	2.98232i	−0.00492940	−	0.0957564i
$971$	−28.1341	−	9.14134i	−0.902868	−	0.293360i	−0.179448	−	0.983768i	$-0.557431\pi$
$971$	−28.1341	−	9.14134i	−0.902868	−	0.293360i	−0.723420	+	0.690408i	$0.757431\pi$
$972$	6.43752	+	19.8126i	0.206483	+	0.635491i
$973$	1.39212	−	5.23857i	0.0446292	−	0.167941i
$974$	−9.93835	−	13.6790i	−0.318445	−	0.438302i
$975$	−8.37717	−	81.1500i	−0.268284	−	2.59888i
$976$	−1.98455	+	6.10781i	−0.0635238	+	0.195506i
$977$	−23.4728	+	32.3075i	−0.750960	+	1.03361i	0.246952	+	0.969028i	$0.420571\pi$
$977$	−23.4728	+	32.3075i	−0.750960	+	1.03361i	−0.997912	+	0.0645806i	$0.979429\pi$
$978$			27.7028i			0.885838i
$979$	−12.1296	+	6.72269i	−0.387663	+	0.214858i
$980$	13.9237	−	7.15054i	0.444777	−	0.228416i
$981$	11.5347	−	15.8761i	0.368274	−	0.506885i
$982$	25.2491	+	8.20394i	0.805732	+	0.261798i
$983$	−11.9624	−	36.8166i	−0.381542	−	1.17427i	−0.938958	−	0.344032i	$-0.888207\pi$
$983$	−11.9624	−	36.8166i	−0.381542	−	1.17427i	0.557416	−	0.830234i	$-0.311793\pi$
$984$	17.1423	−	12.4546i	0.546476	−	0.397038i
$985$	−26.8408	−	7.21864i	−0.855220	−	0.230005i
$986$	−0.250169	−	0.769941i	−0.00796701	−	0.0245199i
$987$	17.1590	+	44.4271i	0.546176	+	1.41413i
$988$	20.2698	−	27.8990i	0.644869	−	0.887586i
$989$			1.22376i			0.0389134i
$990$	25.6931	−	16.0198i	0.816579	−	0.509144i
$991$	−4.72688			−0.150154			−0.0750771	−	0.997178i	$-0.523920\pi$
$991$	−4.72688			−0.150154			−0.0750771	+	0.997178i	$0.523920\pi$
$992$	−5.86759	+	8.07605i	−0.186296	+	0.256415i
$993$	2.56632	−	7.89831i	0.0814396	−	0.250645i
$994$	−33.8406	−	21.8774i	−1.07336	−	0.693909i
$995$	−6.61660	+	24.6023i	−0.209760	+	0.779944i
$996$	−17.2282	−	23.7125i	−0.545895	−	0.751360i
$997$	21.3747	−	6.94506i	0.676943	−	0.219952i	0.0496865	−	0.998765i	$-0.484178\pi$
$997$	21.3747	−	6.94506i	0.676943	−	0.219952i	0.627257	+	0.778813i	$0.284178\pi$
$998$	4.02459	−	12.3864i	0.127396	−	0.392085i
$999$	3.07123	−	4.22719i	0.0971694	−	0.133742i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	770.2.w.b.139.3	yes	96
5.4	even	2		770.2.w.a.139.22	yes	96
7.6	odd	2	inner	770.2.w.b.139.22	yes	96
11.8	odd	10		770.2.w.a.349.3	yes	96
35.34	odd	2		770.2.w.a.139.3	✓	96
55.19	odd	10	inner	770.2.w.b.349.22	yes	96
77.41	even	10		770.2.w.a.349.22	yes	96
385.349	even	10	inner	770.2.w.b.349.3	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
770.2.w.a.139.3	✓	96	35.34	odd	2
770.2.w.a.139.22	yes	96	5.4	even	2
770.2.w.a.349.3	yes	96	11.8	odd	10
770.2.w.a.349.22	yes	96	77.41	even	10
770.2.w.b.139.3	yes	96	1.1	even	1	trivial
770.2.w.b.139.22	yes	96	7.6	odd	2	inner
770.2.w.b.349.3	yes	96	385.349	even	10	inner
770.2.w.b.349.22	yes	96	55.19	odd	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	770.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.822398 + 2.53108i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-2.15934 - 0.580738i) q^{5} +(-2.15307 + 1.56429i) q^{6} +(2.22188 + 1.43641i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.30298 - 2.39976i) q^{9} +O(q^{10})\)	\(q+(0.809017 + 0.587785i) q^{2} +(-0.822398 + 2.53108i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-2.15934 - 0.580738i) q^{5} +(-2.15307 + 1.56429i) q^{6} +(2.22188 + 1.43641i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-3.30298 - 2.39976i) q^{9} +(-1.40559 - 1.73905i) q^{10} +(-1.60778 - 2.90087i) q^{11} -2.66134 q^{12} +(-3.60362 + 4.95996i) q^{13} +(0.953236 + 2.46806i) q^{14} +(3.24573 - 4.98786i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-3.88195 - 5.34304i) q^{17} +(-1.26163 - 3.88289i) q^{18} +(-1.73817 + 5.34955i) q^{19} +(-0.114957 - 2.23311i) q^{20} +(-5.46293 + 4.44245i) q^{21} +(0.404368 - 3.29188i) q^{22} -0.366365i q^{23} +(-2.15307 - 1.56429i) q^{24} +(4.32549 + 2.50802i) q^{25} +(-5.83078 + 1.89454i) q^{26} +(2.33115 - 1.69368i) q^{27} +(-0.679508 + 2.55700i) q^{28} +(0.116581 - 0.0378794i) q^{29} +(5.55764 - 2.12747i) q^{30} +(5.86759 - 8.07605i) q^{31} -1.00000 q^{32} +(8.66457 - 1.68375i) q^{33} -6.60436i q^{34} +(-3.96360 - 4.39202i) q^{35} +(1.26163 - 3.88289i) q^{36} +(1.72460 - 0.560356i) q^{37} +(-4.55060 + 3.30620i) q^{38} +(-9.59045 - 13.2001i) q^{39} +(1.21959 - 1.87420i) q^{40} +(-2.46033 + 7.57212i) q^{41} +(-7.03081 + 0.382985i) q^{42} -3.34028 q^{43} +(2.26206 - 2.42551i) q^{44} +(5.73862 + 7.10005i) q^{45} +(0.215344 - 0.296396i) q^{46} +(2.09013 - 6.43277i) q^{47} +(-0.822398 - 2.53108i) q^{48} +(2.87346 + 6.38304i) q^{49} +(2.02521 + 4.57149i) q^{50} +(16.7162 - 5.43141i) q^{51} +(-5.83078 - 1.89454i) q^{52} +(-5.02641 + 6.91827i) q^{53} +2.88145 q^{54} +(1.78709 + 7.19766i) q^{55} +(-2.05270 + 1.66925i) q^{56} +(-12.1107 - 8.79892i) q^{57} +(0.116581 + 0.0378794i) q^{58} +(-2.58440 + 0.839721i) q^{59} +(5.74673 + 1.54554i) q^{60} +(5.19561 - 3.77483i) q^{61} +(9.49396 - 3.08477i) q^{62} +(-3.89178 - 10.0764i) q^{63} +(-0.809017 - 0.587785i) q^{64} +(10.6619 - 8.61747i) q^{65} +(7.99947 + 3.73073i) q^{66} +6.78639i q^{67} +(3.88195 - 5.34304i) q^{68} +(0.927300 + 0.301298i) q^{69} +(-0.625059 - 5.88297i) q^{70} +(-12.3218 + 8.95234i) q^{71} +(3.30298 - 2.39976i) q^{72} +(-5.47014 + 1.77736i) q^{73} +(1.72460 + 0.560356i) q^{74} +(-9.90528 + 8.88556i) q^{75} -5.62485 q^{76} +(0.594549 - 8.75480i) q^{77} -16.3162i q^{78} +(-3.38238 + 4.65544i) q^{79} +(2.08829 - 0.799400i) q^{80} +(-1.41518 - 4.35547i) q^{81} +(-6.44123 + 4.67983i) q^{82} +(6.47350 + 8.91001i) q^{83} +(-5.91316 - 3.82276i) q^{84} +(5.27953 + 13.7918i) q^{85} +(-2.70234 - 1.96337i) q^{86} +0.326227i q^{87} +(3.25572 - 0.632670i) q^{88} -4.18135i q^{89} +(0.469338 + 9.11714i) q^{90} +(-15.1313 + 5.84414i) q^{91} +(0.348434 - 0.113213i) q^{92} +(15.6156 + 21.4931i) q^{93} +(5.47204 - 3.97567i) q^{94} +(6.85999 - 10.5421i) q^{95} +(0.822398 - 2.53108i) q^{96} +(1.08044 + 0.784986i) q^{97} +(-1.42718 + 6.85297i) q^{98} +(-1.65092 + 13.4398i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9}+O(q^{10}) \) 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9	\( 96 q + 24 q^{2} - 24 q^{4} + 3 q^{7} + 24 q^{8} - 18 q^{9} + 4 q^{11} - 3 q^{14} - 6 q^{15} - 24 q^{16} + 28 q^{18} - 4 q^{22} + 38 q^{25} - 2 q^{28} + 6 q^{30} - 96 q^{32} + 46 q^{35} - 28 q^{36} + 10 q^{39} - 24 q^{43} - 16 q^{44} + 37 q^{49} - 8 q^{50} - 30 q^{51} + 40 q^{53} + 2 q^{56} - 20 q^{57} + 14 q^{60} + 63 q^{63} - 24 q^{64} - 40 q^{65} + 39 q^{70} - 20 q^{71} + 18 q^{72} - 16 q^{77} - 126 q^{81} + 60 q^{85} - 36 q^{86} - 14 q^{88} - 31 q^{91} - 10 q^{92} + 20 q^{93} - 44 q^{95} + 18 q^{98} + 100 q^{99}+O(q^{100}) \) 96 * q + 24 * q^2 - 24 * q^4 + 3 * q^7 + 24 * q^8 - 18 * q^9 + 4 * q^11 - 3 * q^14 - 6 * q^15 - 24 * q^16 + 28 * q^18 - 4 * q^22 + 38 * q^25 - 2 * q^28 + 6 * q^30 - 96 * q^32 + 46 * q^35 - 28 * q^36 + 10 * q^39 - 24 * q^43 - 16 * q^44 + 37 * q^49 - 8 * q^50 - 30 * q^51 + 40 * q^53 + 2 * q^56 - 20 * q^57 + 14 * q^60 + 63 * q^63 - 24 * q^64 - 40 * q^65 + 39 * q^70 - 20 * q^71 + 18 * q^72 - 16 * q^77 - 126 * q^81 + 60 * q^85 - 36 * q^86 - 14 * q^88 - 31 * q^91 - 10 * q^92 + 20 * q^93 - 44 * q^95 + 18 * q^98 + 100 * q^99

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