LMFDB - Embedded newform 196.2.p.a.103.21

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [196,2,Mod(3,196)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(196, base_ring=CyclotomicField(42))

chi = DirichletCharacter(H, H._module([21, 1]))

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

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

chi := DirichletCharacter("196.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$N$	$=$	$196 = 2^{2} \cdot 7^{2}$
Weight:	$k$	$=$	$2$
Character orbit:	$[\chi]$	$=$	196.p (of order $42$ , degree $12$ , 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:	$1.56506787962$
Analytic rank:	$0$
Dimension:	$312$
Relative dimension:	$26$ over $\Q(\zeta_{42})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label			103.21
Character	$\chi$	$=$	196.103
Dual form			196.2.p.a.59.21

$q$ -expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.976093 + 1.02335i) q^{2} +(0.268294 + 0.182920i) q^{3} +(-0.0944861 + 1.99777i) q^{4} +(3.60103 + 0.269860i) q^{5} +(0.0746891 + 0.453105i) q^{6} +(-1.91709 - 1.82340i) q^{7} +(-2.13664 + 1.85331i) q^{8} +(-1.05750 - 2.69447i) q^{9} +(3.23877 + 3.94851i) q^{10} +(0.946254 + 0.371377i) q^{11} +(-0.390781 + 0.518705i) q^{12} +(-2.72262 + 2.17122i) q^{13} +(-0.00528603 - 3.74165i) q^{14} +(0.916771 + 0.731100i) q^{15} +(-3.98214 - 0.377522i) q^{16} +(-1.83141 - 1.97379i) q^{17} +(1.72516 - 3.71224i) q^{18} +(-2.18150 + 3.77847i) q^{19} +(-0.879363 + 7.16851i) q^{20} +(-0.180808 - 0.839879i) q^{21} +(0.543583 + 1.33085i) q^{22} +(4.02678 - 4.33983i) q^{23} +(-0.912255 + 0.106399i) q^{24} +(7.95041 + 1.19833i) q^{25} +(-4.87944 - 0.666881i) q^{26} +(0.425920 - 1.86608i) q^{27} +(3.82386 - 3.65761i) q^{28} +(1.26899 + 5.55980i) q^{29} +(0.146683 + 1.65180i) q^{30} +(-2.93635 - 5.08591i) q^{31} +(-3.50061 - 4.44362i) q^{32} +(0.185942 + 0.272727i) q^{33} +(0.232251 - 3.80078i) q^{34} +(-6.41142 - 7.08344i) q^{35} +(5.48284 - 1.85805i) q^{36} +(-2.33916 - 0.721535i) q^{37} +(-5.99604 + 1.45570i) q^{38} +(-1.12762 + 0.0845035i) q^{39} +(-8.19423 + 6.09724i) q^{40} +(-2.01156 - 4.17704i) q^{41} +(0.683004 - 1.00483i) q^{42} +(1.13347 - 2.35367i) q^{43} +(-0.831333 + 1.85531i) q^{44} +(-3.08096 - 9.98823i) q^{45} +(8.37167 - 0.115282i) q^{46} +(1.76704 - 0.266339i) q^{47} +(-0.999329 - 0.829700i) q^{48} +(0.350456 + 6.99122i) q^{49} +(6.53402 + 9.30572i) q^{50} +(-0.130311 - 0.864558i) q^{51} +(-4.08033 - 5.64431i) q^{52} +(7.54844 - 2.32839i) q^{53} +(2.32538 - 1.38560i) q^{54} +(3.30727 + 1.59270i) q^{55} +(7.47545 + 0.342974i) q^{56} +(-1.27644 + 0.614702i) q^{57} +(-4.45097 + 6.72550i) q^{58} +(1.04136 + 13.8960i) q^{59} +(-1.54719 + 1.76242i) q^{60} +(-1.60668 + 5.20873i) q^{61} +(2.33851 - 7.96923i) q^{62} +(-2.88576 + 7.09378i) q^{63} +(1.13046 - 7.91973i) q^{64} +(-10.3901 + 7.08388i) q^{65} +(-0.0975981 + 0.456490i) q^{66} +(12.0921 - 6.98137i) q^{67} +(4.11622 - 3.47224i) q^{68} +(1.87420 - 0.427774i) q^{69} +(0.990686 - 13.4752i) q^{70} +(-6.12274 - 1.39748i) q^{71} +(7.25319 + 3.79723i) q^{72} +(0.391304 - 2.59613i) q^{73} +(-1.54485 - 3.09806i) q^{74} +(1.91385 + 1.77579i) q^{75} +(-7.34239 - 4.71515i) q^{76} +(-1.13688 - 2.43736i) q^{77} +(-1.18714 - 1.07147i) q^{78} +(8.77147 + 5.06421i) q^{79} +(-14.2379 - 2.43409i) q^{80} +(-5.90997 + 5.48365i) q^{81} +(2.31110 - 6.13570i) q^{82} +(-9.43230 + 11.8277i) q^{83} +(1.69497 - 0.281856i) q^{84} +(-6.06231 - 7.60190i) q^{85} +(3.51499 - 1.13747i) q^{86} +(-0.676535 + 1.72378i) q^{87} +(-2.71008 + 0.960206i) q^{88} +(-3.57183 + 1.40184i) q^{89} +(7.21414 - 12.9023i) q^{90} +(9.17849 + 0.801998i) q^{91} +(8.28950 + 8.45461i) q^{92} +(0.142508 - 1.90164i) q^{93} +(1.99736 + 1.54833i) q^{94} +(-8.87530 + 13.0177i) q^{95} +(-0.126365 - 1.83253i) q^{96} +13.8685i q^{97} +(-6.81238 + 7.18272i) q^{98} -2.94238i q^{99} +O(q^{100})$
$\operatorname{Tr}(f)(q)$	$=$	$312 q - 13 q^{2} - 13 q^{4} - 22 q^{5} - 14 q^{6} - 4 q^{8} - 4 q^{9} - 20 q^{10} + 9 q^{12} - 28 q^{13} - 51 q^{14} - 17 q^{16} - 22 q^{17} - 12 q^{18} - 14 q^{20} - 34 q^{21} - 18 q^{22} - 44 q^{24} - 48 q^{25}+ \cdots + 183 q^{98}+O(q^{100})$ 312 * q - 13 * q^2 - 13 * q^4 - 22 * q^5 - 14 * q^6 - 4 * q^8 - 4 * q^9 - 20 * q^10 + 9 * q^12 - 28 * q^13 - 51 * q^14 - 17 * q^16 - 22 * q^17 - 12 * q^18 - 14 * q^20 - 34 * q^21 - 18 * q^22 - 44 * q^24 - 48 * q^25 - 2 * q^26 - 36 * q^28 - 11 * q^30 - 13 * q^32 - 34 * q^33 - 98 * q^34 - 4 * q^36 - 58 * q^37 - 18 * q^38 + 30 * q^40 - 28 * q^41 - 26 * q^42 + 16 * q^44 - 28 * q^45 - 14 * q^46 - 24 * q^49 + 96 * q^50 - 14 * q^52 - 22 * q^53 - 17 * q^54 + 40 * q^56 + 34 * q^57 - 12 * q^58 + 98 * q^60 - 38 * q^61 - 4 * q^64 - 32 * q^65 - 176 * q^66 - 21 * q^68 + 28 * q^69 + 50 * q^70 - 120 * q^72 - 58 * q^73 - 14 * q^74 - 91 * q^76 - 18 * q^77 - 112 * q^78 + 66 * q^80 - 170 * q^81 + 114 * q^82 + 140 * q^84 - 24 * q^85 + 97 * q^86 + 127 * q^88 - 82 * q^89 + 266 * q^90 + 34 * q^92 + 226 * q^94 + 122 * q^96 + 183 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/196\mathbb{Z}\right)^\times$ .

$n$	$99$	$101$
$\chi(n)$	$-1$	$e\left(\frac{29}{42}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$ -expansion $a_n$ , the Satake parameters $\alpha_p$ , and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$ .

Display

a_p

with

p

up to: 50 250 1000 (See

a_n

instead) (See

a_n

instead) (See

a_n

instead) Display

a_n

with

n

up to: 50 250 1000 (See only

a_p

) (See only

a_p

) (See only

a_p

)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$\alpha_n$			$\theta_n$
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$\alpha_p$			$\theta_p$

$2$	0.976093	+	1.02335i	0.690202	+	0.723617i
$2$	0.976093	+	1.02335i	0.690202	+	0.723617i
$3$	0.268294	+	0.182920i	0.154900	+	0.105609i	0.638290	−	0.769796i	$-0.279642\pi$
$3$	0.268294	+	0.182920i	0.154900	+	0.105609i	−0.483390	+	0.875405i	$0.660595\pi$
$4$	−0.0944861	+	1.99777i	−0.0472431	+	0.998883i
$5$	3.60103	+	0.269860i	1.61043	+	0.120685i	0.849298	−	0.527914i	$-0.177026\pi$
$5$	3.60103	+	0.269860i	1.61043	+	0.120685i	0.761130	+	0.648599i	$0.224645\pi$
$6$	0.0746891	+	0.453105i	0.0304917	+	0.184979i
$7$	−1.91709	−	1.82340i	−0.724591	−	0.689179i
$7$	−1.91709	−	1.82340i	−0.724591	−	0.689179i
$8$	−2.13664	+	1.85331i	−0.755416	+	0.655245i
$9$	−1.05750	−	2.69447i	−0.352500	−	0.898156i
$10$	3.23877	+	3.94851i	1.02419	+	1.24863i
$11$	0.946254	+	0.371377i	0.285306	+	0.111974i	0.503679	−	0.863891i	$-0.331980\pi$
$11$	0.946254	+	0.371377i	0.285306	+	0.111974i	−0.218372	+	0.975866i	$0.570075\pi$
$12$	−0.390781	+	0.518705i	−0.112809	+	0.149737i
$13$	−2.72262	+	2.17122i	−0.755119	+	0.602187i	−0.923528	−	0.383530i	$-0.874708\pi$
$13$	−2.72262	+	2.17122i	−0.755119	+	0.602187i	0.168410	+	0.985717i	$0.446137\pi$
$14$	−0.00528603	−	3.74165i	−0.00141275	−	0.999999i
$15$	0.916771	+	0.731100i	0.236709	+	0.188769i
$16$	−3.98214	−	0.377522i	−0.995536	−	0.0943806i
$17$	−1.83141	−	1.97379i	−0.444183	−	0.478715i	0.470782	−	0.882250i	$-0.343972\pi$
$17$	−1.83141	−	1.97379i	−0.444183	−	0.478715i	−0.914964	+	0.403535i	$0.867781\pi$
$18$	1.72516	−	3.71224i	0.406625	−	0.874984i
$19$	−2.18150	+	3.77847i	−0.500471	+	0.866841i	0.499529	+	0.866297i	$0.333506\pi$
$19$	−2.18150	+	3.77847i	−0.500471	+	0.866841i	−1.00000		0.000543834i	$0.999827\pi$
$20$	−0.879363	+	7.16851i	−0.196632	+	1.60293i
$21$	−0.180808	−	0.839879i	−0.0394556	−	0.183277i
$22$	0.543583	+	1.33085i	0.115892	+	0.283737i
$23$	4.02678	−	4.33983i	0.839641	−	0.904918i	−0.156934	−	0.987609i	$-0.550161\pi$
$23$	4.02678	−	4.33983i	0.839641	−	0.904918i	0.996575	+	0.0826915i	$0.0263516\pi$
$24$	−0.912255	+	0.106399i	−0.186213	+	0.0217187i
$25$	7.95041	+	1.19833i	1.59008	+	0.239666i
$26$	−4.87944	−	0.666881i	−0.956937	−	0.130786i
$27$	0.425920	−	1.86608i	0.0819682	−	0.359126i
$28$	3.82386	−	3.65761i	0.722641	−	0.691223i
$29$	1.26899	+	5.55980i	0.235645	+	1.03243i	0.944870	+	0.327446i	$0.106188\pi$
$29$	1.26899	+	5.55980i	0.235645	+	1.03243i	−0.709225	+	0.704983i	$0.750955\pi$
$30$	0.146683	+	1.65180i	0.0267804	+	0.301576i
$31$	−2.93635	−	5.08591i	−0.527384	−	0.913456i	−0.999491	−	0.0319145i	$-0.989840\pi$
$31$	−2.93635	−	5.08591i	−0.527384	−	0.913456i	0.472106	−	0.881542i	$-0.343494\pi$
$32$	−3.50061	−	4.44362i	−0.618825	−	0.785529i
$33$	0.185942	+	0.272727i	0.0323684	+	0.0474757i
$34$	0.232251	−	3.80078i	0.0398307	−	0.651828i
$35$	−6.41142	−	7.08344i	−1.08373	−	1.19732i
$36$	5.48284	−	1.85805i	0.913807	−	0.309675i
$37$	−2.33916	−	0.721535i	−0.384555	−	0.118620i	0.0964488	−	0.995338i	$-0.469252\pi$
$37$	−2.33916	−	0.721535i	−0.384555	−	0.118620i	−0.481004	+	0.876718i	$0.659728\pi$
$38$	−5.99604	+	1.45570i	−0.972687	+	0.236146i
$39$	−1.12762	+	0.0845035i	−0.180564	+	0.0135314i
$40$	−8.19423	+	6.09724i	−1.29562	+	0.964058i
$41$	−2.01156	−	4.17704i	−0.314152	−	0.652344i	0.682779	−	0.730625i	$-0.260771\pi$
$41$	−2.01156	−	4.17704i	−0.314152	−	0.652344i	−0.996931	+	0.0782809i	$0.975057\pi$
$42$	0.683004	−	1.00483i	0.105390	−	0.155049i
$43$	1.13347	−	2.35367i	0.172852	−	0.358931i	−0.796488	−	0.604654i	$-0.793311\pi$
$43$	1.13347	−	2.35367i	0.172852	−	0.358931i	0.969340	+	0.245724i	$0.0790256\pi$
$44$	−0.831333	+	1.85531i	−0.125328	+	0.279698i
$45$	−3.08096	−	9.98823i	−0.459282	−	1.48896i
$46$	8.37167	−	0.115282i	1.23434	−	0.0169974i
$47$	1.76704	−	0.266339i	0.257750	−	0.0388495i	−0.0188961	−	0.999821i	$-0.506015\pi$
$47$	1.76704	−	0.266339i	0.257750	−	0.0388495i	0.276646	+	0.960972i	$0.410777\pi$
$48$	−0.999329	−	0.829700i	−0.144241	−	0.119757i
$49$	0.350456	+	6.99122i	0.0500652	+	0.998746i
$50$	6.53402	+	9.30572i	0.924050	+	1.31603i
$51$	−0.130311	−	0.864558i	−0.0182472	−	0.121062i
$52$	−4.08033	−	5.64431i	−0.565841	−	0.782725i
$53$	7.54844	−	2.32839i	1.03686	−	0.319828i	0.270824	−	0.962629i	$-0.412704\pi$
$53$	7.54844	−	2.32839i	1.03686	−	0.319828i	0.766034	+	0.642800i	$0.222228\pi$
$54$	2.32538	−	1.38560i	0.316445	−	0.188556i
$55$	3.30727	+	1.59270i	0.445952	+	0.214759i
$56$	7.47545	+	0.342974i	0.998949	+	0.0458318i
$57$	−1.27644	+	0.614702i	−0.169069	+	0.0814192i
$58$	−4.45097	+	6.72550i	−0.584441	+	0.883101i
$59$	1.04136	+	13.8960i	0.135574	+	1.80910i	0.487551	+	0.873094i	$0.337890\pi$
$59$	1.04136	+	13.8960i	0.135574	+	1.80910i	−0.351978	+	0.936008i	$0.614491\pi$
$60$	−1.54719	+	1.76242i	−0.199741	+	0.227527i
$61$	−1.60668	+	5.20873i	−0.205714	+	0.666909i	0.792647	+	0.609681i	$0.208702\pi$
$61$	−1.60668	+	5.20873i	−0.205714	+	0.666909i	−0.998361	+	0.0572282i	$0.981774\pi$
$62$	2.33851	−	7.96923i	0.296991	−	1.01209i
$63$	−2.88576	+	7.09378i	−0.363572	+	0.893732i
$64$	1.13046	−	7.91973i	0.141307	−	0.989966i
$65$	−10.3901	+	7.08388i	−1.28874	+	0.878647i
$66$	−0.0975981	+	0.456490i	−0.0120135	+	0.0561901i
$67$	12.0921	−	6.98137i	1.47728	−	0.852910i	0.477612	−	0.878571i	$-0.341502\pi$
$67$	12.0921	−	6.98137i	1.47728	−	0.852910i	0.999671	+	0.0256611i	$0.00816908\pi$
$68$	4.11622	−	3.47224i	0.499165	−	0.421071i
$69$	1.87420	−	0.427774i	0.225627	−	0.0514979i
$70$	0.990686	−	13.4752i	0.118410	−	1.61060i
$71$	−6.12274	−	1.39748i	−0.726636	−	0.165850i	−0.156826	−	0.987626i	$-0.550126\pi$
$71$	−6.12274	−	1.39748i	−0.726636	−	0.165850i	−0.569810	+	0.821776i	$0.692983\pi$
$72$	7.25319	+	3.79723i	0.854797	+	0.447508i
$73$	0.391304	−	2.59613i	0.0457987	−	0.303854i	−0.954190	−	0.299200i	$-0.903280\pi$
$73$	0.391304	−	2.59613i	0.0457987	−	0.303854i	0.999989	−	0.00465465i	$-0.00148163\pi$
$74$	−1.54485	−	3.09806i	−0.179586	−	0.360142i
$75$	1.91385	+	1.77579i	0.220992	+	0.205051i
$76$	−7.34239	−	4.71515i	−0.842229	−	0.540864i
$77$	−1.13688	−	2.43736i	−0.129560	−	0.277763i
$78$	−1.18714	−	1.07147i	−0.134417	−	0.121320i
$79$	8.77147	+	5.06421i	0.986867	+	0.569768i	0.904336	−	0.426820i	$-0.140366\pi$
$79$	8.77147	+	5.06421i	0.986867	+	0.569768i	0.0825308	+	0.996589i	$0.473700\pi$
$80$	−14.2379	−	2.43409i	−1.59185	−	0.272139i
$81$	−5.90997	+	5.48365i	−0.656663	+	0.609295i
$82$	2.31110	−	6.13570i	0.255219	−	0.677575i
$83$	−9.43230	+	11.8277i	−1.03533	+	1.29826i	−0.0819010	+	0.996640i	$0.526099\pi$
$83$	−9.43230	+	11.8277i	−1.03533	+	1.29826i	−0.953428	+	0.301621i	$0.902472\pi$
$84$	1.69497	−	0.281856i	0.184936	−	0.0307530i
$85$	−6.06231	−	7.60190i	−0.657550	−	0.824542i
$86$	3.51499	−	1.13747i	0.379031	−	0.122656i
$87$	−0.676535	+	1.72378i	−0.0725322	+	0.184809i
$88$	−2.71008	+	0.960206i	−0.288896	+	0.102358i
$89$	−3.57183	+	1.40184i	−0.378613	+	0.148595i	−0.547013	−	0.837124i	$-0.684235\pi$
$89$	−3.57183	+	1.40184i	−0.378613	+	0.148595i	0.168400	+	0.985719i	$0.446140\pi$
$90$	7.21414	−	12.9023i	0.760437	−	1.36003i
$91$	9.17849	+	0.801998i	0.962167	+	0.0840722i
$92$	8.28950	+	8.45461i	0.864240	+	0.881454i
$93$	0.142508	−	1.90164i	0.0147774	−	0.197190i
$94$	1.99736	+	1.54833i	0.206012	+	0.159698i
$95$	−8.87530	+	13.0177i	−0.910587	+	1.33559i
$96$	−0.126365	−	1.83253i	−0.0128971	−	0.187031i
$97$			13.8685i			1.40813i	0.710135	+	0.704066i	$0.248634\pi$
$97$			13.8685i			1.40813i	−0.710135	+	0.704066i	$0.751366\pi$
$98$	−6.81238	+	7.18272i	−0.688154	+	0.725564i
$99$		−	2.94238i		−	0.295721i
$100$	−3.14519	+	15.7698i	−0.314519	+	1.57698i
$101$	4.31836	−	6.33388i	0.429693	−	0.630244i	−0.548939	−	0.835862i	$-0.684968\pi$
$101$	4.31836	−	6.33388i	0.429693	−	0.630244i	0.978632	+	0.205618i	$0.0659205\pi$
$102$	0.757549	−	0.977243i	0.0750085	−	0.0967614i
$103$	−0.300946	+	4.01584i	−0.0296531	+	0.395693i	0.962554	+	0.271091i	$0.0873844\pi$
$103$	−0.300946	+	4.01584i	−0.0296531	+	0.395693i	−0.992207	+	0.124602i	$0.960235\pi$
$104$	1.79331	−	9.68497i	0.175849	−	0.949690i
$105$	−0.424446	−	3.07322i	−0.0414217	−	0.299916i
$106$	9.75073	+	5.45197i	0.947075	+	0.529542i
$107$	−11.7570	+	4.61427i	−1.13659	+	0.446079i	−0.857652	−	0.514231i	$-0.828078\pi$
$107$	−11.7570	+	4.61427i	−1.13659	+	0.446079i	−0.278938	+	0.960309i	$0.589982\pi$
$108$	3.68774	+	1.02721i	0.354853	+	0.0988429i
$109$	4.59354	−	11.7042i	0.439981	−	1.12105i	−0.523202	−	0.852209i	$-0.675263\pi$
$109$	4.59354	−	11.7042i	0.439981	−	1.12105i	0.963183	−	0.268846i	$-0.0866421\pi$
$110$	1.59831	+	4.93910i	0.152393	+	0.470925i
$111$	−0.495599	−	0.621462i	−0.0470402	−	0.0589865i
$112$	6.94575	+	7.98477i	0.656312	+	0.754490i
$113$	−10.8117	+	13.5575i	−1.01708	+	1.27538i	−0.0562022	+	0.998419i	$0.517899\pi$
$113$	−10.8117	+	13.5575i	−1.01708	+	1.27538i	−0.960881	+	0.276962i	$0.910672\pi$
$114$	−1.87498	−	0.706239i	−0.175608	−	0.0661453i
$115$	15.6717	−	14.5412i	1.46139	−	1.35597i
$116$	−11.2271	+	2.00982i	−1.04241	+	0.186607i
$117$	8.72945	+	5.03995i	0.807038	+	0.465943i
$118$	−13.2040	+	14.6294i	−1.21552	+	1.34675i
$119$	−0.0880262	+	7.12332i	−0.00806935	+	0.652994i
$120$	−3.31377	+	0.136966i	−0.302504	+	0.0125032i
$121$	−7.30609	−	6.77907i	−0.664190	−	0.616279i
$122$	−6.89861	+	3.44001i	−0.624571	+	0.311444i
$123$	0.224375	−	1.48863i	0.0202312	−	0.134225i
$124$	10.4379	−	5.38560i	0.937351	−	0.483641i
$125$	10.7033	+	2.44296i	0.957334	+	0.218505i
$126$	−10.0762	+	3.97105i	−0.897657	+	0.353769i
$127$	17.2681	−	3.94134i	1.53230	−	0.349737i	0.628539	−	0.777778i	$-0.283653\pi$
$127$	17.2681	−	3.94134i	1.53230	−	0.349737i	0.903760	+	0.428041i	$0.140796\pi$
$128$	9.20808	−	6.57353i	0.813887	−	0.581024i
$129$	0.734634	−	0.424141i	0.0646809	−	0.0373435i
$130$	−17.3910	−	3.71822i	−1.52529	−	0.326109i
$131$	−3.32882	+	2.26955i	−0.290841	+	0.198292i	−0.699947	−	0.714195i	$-0.746793\pi$
$131$	−3.32882	+	2.26955i	−0.290841	+	0.198292i	0.409106	+	0.912487i	$0.365841\pi$
$132$	−0.562414	+	0.345700i	−0.0489518	+	0.0300893i
$133$	11.0718	−	3.26592i	0.960045	−	0.283192i
$134$	18.9474	+	5.55996i	1.63680	+	0.480307i
$135$	2.03733	−	6.60485i	0.175345	−	0.568455i
$136$	7.57112	+	0.823104i	0.649218	+	0.0705806i
$137$	−1.44678	−	19.3059i	−0.123606	−	1.64941i	−0.622405	−	0.782696i	$-0.713844\pi$
$137$	−1.44678	−	19.3059i	−0.123606	−	1.64941i	0.498798	−	0.866718i	$-0.333775\pi$
$138$	2.26716	+	1.50041i	0.192993	+	0.127724i
$139$	−16.9559	+	8.16553i	−1.43818	+	0.692591i	−0.980499	−	0.196525i	$-0.937034\pi$
$139$	−16.9559	+	8.16553i	−1.43818	+	0.692591i	−0.457682	+	0.889116i	$0.651320\pi$
$140$	14.7569	−	12.1392i	1.24718	−	1.02595i
$141$	0.522806	+	0.251770i	0.0440282	+	0.0212029i
$142$	−4.54626	−	7.62977i	−0.381513	−	0.640276i
$143$	−3.38263	+	1.04340i	−0.282870	+	0.0872538i
$144$	3.19390	+	11.1290i	0.266158	+	0.927416i
$145$	3.06929	+	20.3634i	0.254891	+	1.69109i
$146$	3.03870	−	2.13363i	0.251485	−	0.176580i
$147$	−1.18481	+	1.93981i	−0.0977212	+	0.159993i
$148$	1.66248	−	4.60492i	0.136655	−	0.378522i
$149$	0.0774860	−	0.0116791i	0.00634790	−	0.000956792i	−0.145868	−	0.989304i	$-0.546597\pi$
$149$	0.0774860	−	0.0116791i	0.00634790	−	0.000956792i	0.152215	+	0.988347i	$0.451359\pi$
$150$	0.0508388	+	3.69187i	0.00415097	+	0.301440i
$151$	0.342471	+	1.11026i	0.0278699	+	0.0903519i	0.968439	−	0.249250i	$-0.0801840\pi$
$151$	0.342471	+	1.11026i	0.0278699	+	0.0903519i	−0.940569	+	0.339602i	$0.889708\pi$
$152$	−2.34161	−	12.1162i	−0.189930	−	0.982757i
$153$	−3.38160	+	7.02197i	−0.273386	+	0.567693i
$154$	1.38456	−	3.54252i	0.111571	−	0.285464i
$155$	−9.20139	−	19.1069i	−0.739074	−	1.53470i
$156$	−0.0622738	−	2.26071i	−0.00498589	−	0.181001i
$157$	14.4473	−	1.08268i	1.15302	−	0.0864070i	0.515535	−	0.856869i	$-0.327593\pi$
$157$	14.4473	−	1.08268i	1.15302	−	0.0864070i	0.637486	+	0.770462i	$0.279974\pi$
$158$	3.37931	+	13.9194i	0.268844	+	1.10737i
$159$	2.45111	+	0.756067i	0.194386	+	0.0599600i
$160$	−11.4066	−	16.9463i	−0.901772	−	1.33972i
$161$	−15.6329	+	0.977437i	−1.23205	+	0.0770328i
$162$	−11.3804	−	0.695410i	−0.894126	−	0.0546366i
$163$	−1.47156	−	2.15839i	−0.115262	−	0.169058i	0.764273	−	0.644893i	$-0.223098\pi$
$163$	−1.47156	−	2.15839i	−0.115262	−	0.169058i	−0.879534	+	0.475835i	$0.842146\pi$
$164$	8.53482	−	3.62395i	0.666457	−	0.282983i
$165$	0.595984	+	1.03227i	0.0463973	+	0.0803625i
$166$	−21.3107	+	1.89243i	−1.65403	+	0.146881i
$167$	−2.67430	−	11.7169i	−0.206943	−	0.906678i	−0.966587	−	0.256339i	$-0.917484\pi$
$167$	−2.67430	−	11.7169i	−0.206943	−	0.906678i	0.759644	−	0.650340i	$-0.225373\pi$
$168$	1.94288	+	1.45943i	0.149897	+	0.112597i
$169$	−0.194298	+	0.851274i	−0.0149460	+	0.0654826i
$170$	1.86202	−	13.6240i	0.142810	−	1.04491i
$171$	12.4879	+	1.88225i	0.954975	+	0.143939i
$172$	4.59498	+	2.48679i	0.350364	+	0.189616i
$173$	13.4292	−	14.4733i	1.02101	−	1.10038i	0.0260917	−	0.999660i	$-0.491694\pi$
$173$	13.4292	−	14.4733i	1.02101	−	1.10038i	0.994914	−	0.100723i	$-0.0321157\pi$
$174$	−2.42439	+	0.990241i	−0.183793	+	0.0750700i
$175$	−13.0566	−	16.7940i	−0.986986	−	1.26951i
$176$	−3.62792	−	1.83611i	−0.273465	−	0.138402i
$177$	−2.26246	+	3.91869i	−0.170057	+	0.294547i
$178$	−4.92101	−	2.28690i	−0.368845	−	0.171411i
$179$	12.9024	+	13.9054i	0.964368	+	1.03934i	0.999202	+	0.0399484i	$0.0127194\pi$
$179$	12.9024	+	13.9054i	0.964368	+	1.03934i	−0.0348338	+	0.999393i	$0.511090\pi$
$180$	20.2453	−	5.21129i	1.50899	−	0.388427i
$181$	−1.34053	−	1.06903i	−0.0996405	−	0.0794606i	0.572402	−	0.819973i	$-0.306012\pi$
$181$	−1.34053	−	1.06903i	−0.0996405	−	0.0794606i	−0.672043	+	0.740512i	$0.734583\pi$
$182$	8.13833	+	10.1756i	0.603253	+	0.754267i
$183$	−1.38384	+	1.10358i	−0.102297	+	0.0815787i
$184$	−0.560700	+	16.7355i	−0.0413354	+	1.23376i
$185$	−8.22866	−	3.22951i	−0.604983	−	0.237438i
$186$	2.08514	−	1.71034i	0.152890	−	0.125408i
$187$	−0.999959	−	2.54785i	−0.0731242	−	0.186318i
$188$	0.365122	+	3.55531i	0.0266293	+	0.259297i
$189$	−4.21912	+	2.80081i	−0.306896	+	0.203729i
$190$	−21.9847	+	3.62393i	−1.59494	+	0.262907i
$191$	4.27298	+	0.320216i	0.309182	+	0.0231700i	0.228418	−	0.973563i	$-0.426645\pi$
$191$	4.27298	+	0.320216i	0.309182	+	0.0231700i	0.0807644	+	0.996733i	$0.474264\pi$
$192$	1.75197	−	1.91803i	0.126438	−	0.138422i
$193$	5.76372	+	3.92964i	0.414882	+	0.282862i	0.752718	−	0.658343i	$-0.228743\pi$
$193$	5.76372	+	3.92964i	0.414882	+	0.282862i	−0.337836	+	0.941205i	$0.609695\pi$
$194$	−14.1923	+	13.5369i	−1.01895	+	0.971895i
$195$	−4.08339			−0.292418
$196$	−13.9999	+	0.0395570i	−0.999996	+	0.00282550i
$197$	−6.92527			−0.493405			−0.246702	−	0.969091i	$-0.579347\pi$
$197$	−6.92527			−0.493405			−0.246702	+	0.969091i	$0.579347\pi$
$198$	3.01109	−	2.87204i	0.213989	−	0.204107i
$199$	4.51093	+	3.07550i	0.319772	+	0.218017i	0.712558	−	0.701613i	$-0.247536\pi$
$199$	4.51093	+	3.07550i	0.319772	+	0.218017i	−0.392787	+	0.919630i	$0.628489\pi$
$200$	−19.2080	+	12.1742i	−1.35821	+	0.860846i
$201$	4.52126	+	0.338822i	0.318905	+	0.0238986i
$202$	10.6969	−	1.76326i	0.752631	−	0.124062i
$203$	7.70495	−	12.9725i	0.540782	−	0.910491i
$204$	1.73950	−	0.178643i	0.121789	−	0.0125075i
$205$	−6.11645	−	15.5845i	−0.427192	−	1.08847i
$206$	−4.40336	+	3.61186i	−0.306796	+	0.251650i
$207$	−15.9519	−	6.26064i	−1.10873	−	0.435145i
$208$	11.6615	−	7.61825i	0.808583	−	0.528230i
$209$	−3.46749	+	2.76523i	−0.239852	+	0.191275i
$210$	2.73068	−	3.43410i	0.188435	−	0.236976i
$211$	−12.6871	−	10.1176i	−0.873418	−	0.696528i	0.0804484	−	0.996759i	$-0.474365\pi$
$211$	−12.6871	−	10.1176i	−0.873418	−	0.696528i	−0.953866	+	0.300231i	$0.902936\pi$
$212$	3.93835	+	15.3000i	0.270487	+	1.05081i
$213$	−1.38707	−	1.49490i	−0.0950404	−	0.102429i
$214$	−16.1979	−	7.52753i	−1.10727	−	0.514571i
$215$	4.71680	−	8.16974i	0.321683	−	0.557171i
$216$	2.54839	+	4.77649i	0.173396	+	0.324999i
$217$	−3.64438	+	15.1043i	−0.247397	+	1.02534i
$218$	16.4612	−	6.72354i	1.11489	−	0.455376i
$219$	0.579869	−	0.624950i	0.0391839	−	0.0422302i
$220$	−3.49432	+	6.45666i	−0.235587	+	0.435308i
$221$	9.27177	+	1.39749i	0.623687	+	0.0940056i
$222$	0.152221	−	1.11378i	0.0102164	−	0.0747517i
$223$	5.37572	−	23.5526i	0.359985	−	1.57720i	−0.393242	−	0.919435i	$-0.628647\pi$
$223$	5.37572	−	23.5526i	0.359985	−	1.57720i	0.753227	−	0.657761i	$-0.228496\pi$
$224$	−1.39151	+	14.9018i	−0.0929741	+	0.995669i
$225$	−5.17870	−	22.6894i	−0.345247	−	1.51262i
$226$	−24.4273	+	2.16919i	−1.62488	+	0.144292i
$227$	−6.40622	−	11.0959i	−0.425196	−	0.736461i	0.571243	−	0.820781i	$-0.306462\pi$
$227$	−6.40622	−	11.0959i	−0.425196	−	0.736461i	−0.996439	+	0.0843201i	$0.973128\pi$
$228$	−1.10742	−	2.60811i	−0.0733410	−	0.172726i
$229$	−6.57722	−	9.64701i	−0.434635	−	0.637492i	0.544963	−	0.838460i	$-0.316544\pi$
$229$	−6.57722	−	9.64701i	−0.434635	−	0.637492i	−0.979598	+	0.200968i	$0.935591\pi$
$230$	30.1777	+	1.84404i	1.98986	+	0.121593i
$231$	0.140822	−	0.861887i	0.00926539	−	0.0567080i
$232$	−13.0154	−	9.52746i	−0.854505	−	0.625508i
$233$	18.2589	+	5.63211i	1.19618	+	0.368972i	0.827970	−	0.560772i	$-0.189496\pi$
$233$	18.2589	+	5.63211i	1.19618	+	0.368972i	0.368207	+	0.929744i	$0.379972\pi$
$234$	3.36312	+	13.8527i	0.219854	+	0.905581i
$235$	6.43504	−	0.482240i	0.419776	−	0.0314579i
$236$	−27.8593	+	0.767417i	−1.81349	+	0.0499546i
$237$	1.42699	+	2.96317i	0.0926928	+	0.192479i
$238$	−7.37557	+	6.86294i	−0.478087	+	0.444858i
$239$	−3.62867	+	7.53502i	−0.234719	+	0.487400i	−0.984744	−	0.174010i	$-0.944327\pi$
$239$	−3.62867	+	7.53502i	−0.234719	+	0.487400i	0.750024	+	0.661410i	$0.230042\pi$
$240$	−3.37471	−	3.25745i	−0.217836	−	0.210267i
$241$	1.42088	+	4.60637i	0.0915266	+	0.296722i	0.989749	−	0.142820i	$-0.0456170\pi$
$241$	1.42088	+	4.60637i	0.0915266	+	0.296722i	−0.898222	+	0.439542i	$0.855141\pi$
$242$	−0.194076	−	14.0937i	−0.0124757	−	0.905976i
$243$	−8.26674	+	1.24601i	−0.530311	+	0.0799316i
$244$	−10.2540	−	3.70192i	−0.656446	−	0.236991i
$245$	−0.624645	+	25.2701i	−0.0399071	+	1.61445i
$246$	1.74240	−	1.22343i	0.111091	−	0.0780028i
$247$	−2.26448	−	15.0239i	−0.144086	−	0.955945i
$248$	15.6997	+	5.42478i	0.996932	+	0.344474i
$249$	−4.69415	+	1.44795i	−0.297480	+	0.0917604i
$250$	7.94743	+	13.3378i	0.502639	+	0.843556i
$251$	7.21740	+	3.47572i	0.455558	+	0.219385i	0.647568	−	0.762008i	$-0.275786\pi$
$251$	7.21740	+	3.47572i	0.455558	+	0.219385i	−0.192010	+	0.981393i	$0.561500\pi$
$252$	−13.8990	−	6.43534i	−0.875558	−	0.405388i
$253$	5.42207	−	2.61113i	0.340883	−	0.164160i
$254$	20.8887	+	13.8242i	1.31067	+	0.867408i
$255$	−0.235945	−	3.14846i	−0.0147754	−	0.197164i
$256$	15.7150	+	3.00670i	0.982185	+	0.187919i
$257$	8.63183	−	27.9837i	0.538439	−	1.74558i	−0.119831	−	0.992794i	$-0.538235\pi$
$257$	8.63183	−	27.9837i	0.538439	−	1.74558i	0.658270	−	0.752782i	$-0.271289\pi$
$258$	1.15112	+	0.337786i	0.0716653	+	0.0210296i
$259$	3.16873	+	5.64846i	0.196895	+	0.350978i
$260$	−13.1702	−	21.4264i	−0.816782	−	1.32881i
$261$	13.6388	−	9.29875i	0.844218	−	0.575578i
$262$	−5.57179	−	1.19125i	−0.344226	−	0.0735959i
$263$	−5.00223	+	2.88804i	−0.308451	+	0.178084i	−0.646233	−	0.763140i	$-0.723657\pi$
$263$	−5.00223	+	2.88804i	−0.308451	+	0.178084i	0.337782	+	0.941224i	$0.390323\pi$
$264$	−0.902739	−	0.238110i	−0.0555598	−	0.0146547i
$265$	27.8105	−	6.34756i	1.70838	−	0.389927i
$266$	14.1493	+	8.14245i	0.867547	+	0.499246i
$267$	−1.21473	−	0.277253i	−0.0743400	−	0.0169676i
$268$	12.8046	+	24.8168i	0.782166	+	1.51593i
$269$	−2.28061	+	15.1309i	−0.139051	+	0.922544i	0.805125	+	0.593105i	$0.202098\pi$
$269$	−2.28061	+	15.1309i	−0.139051	+	0.922544i	−0.944177	+	0.329440i	$0.893140\pi$
$270$	8.74768	−	4.36205i	0.532367	−	0.265466i
$271$	8.10601	+	7.52127i	0.492405	+	0.456885i	0.886865	−	0.462028i	$-0.152878\pi$
$271$	8.10601	+	7.52127i	0.492405	+	0.456885i	−0.394461	+	0.918913i	$0.629069\pi$
$272$	6.54780	+	8.55133i	0.397018	+	0.518500i
$273$	2.31583	+	1.89410i	0.140161	+	0.114636i
$274$	18.3445	−	20.3249i	1.10823	−	1.22787i
$275$	7.07807	+	4.08653i	0.426824	+	0.246427i
$276$	0.677507	+	3.78463i	0.0407811	+	0.227808i
$277$	−12.4187	+	11.5229i	−0.746169	+	0.692344i	−0.958576	−	0.284837i	$-0.908060\pi$
$277$	−12.4187	+	11.5229i	−0.746169	+	0.692344i	0.212407	+	0.977181i	$0.431870\pi$
$278$	−24.9067	−	9.38149i	−1.49381	−	0.562664i
$279$	−10.5986	+	13.2903i	−0.634523	+	0.795667i
$280$	26.8267	+	3.25238i	1.60320	+	0.194367i
$281$	3.71664	+	4.66052i	0.221716	+	0.278023i	0.880232	−	0.474544i	$-0.157387\pi$
$281$	3.71664	+	4.66052i	0.221716	+	0.278023i	−0.658516	+	0.752567i	$0.728815\pi$
$282$	0.252658	+	0.780764i	0.0150456	+	0.0464938i
$283$	−2.08570	+	5.31429i	−0.123982	+	0.315902i	−0.979366	−	0.202092i	$-0.935226\pi$
$283$	−2.08570	+	5.31429i	−0.123982	+	0.315902i	0.855384	+	0.517994i	$0.173321\pi$
$284$	3.37034	−	12.0998i	0.199993	−	0.717989i
$285$	−4.76238	+	1.86910i	−0.282099	+	0.110716i
$286$	−4.36953	−	2.44315i	−0.258375	−	0.144467i
$287$	−3.76006	+	11.6756i	−0.221950	+	0.689190i
$288$	−8.27130	+	14.1314i	−0.487391	+	0.832701i
$289$	0.728624	−	9.72281i	0.0428602	−	0.571930i
$290$	−17.8430	+	23.0176i	−1.04778	+	1.35164i
$291$	−2.53682	+	3.72083i	−0.148711	+	0.218119i
$292$	5.14950	+	1.02703i	0.301352	+	0.0601026i
$293$		−	8.98210i		−	0.524740i	−0.964967	−	0.262370i	$-0.915496\pi$
$293$		−	8.98210i		−	0.524740i	0.964967	−	0.262370i	$-0.0845041\pi$
$294$	−3.14158	+	0.680961i	−0.183221	+	0.0397145i
$295$			50.3208i			2.92979i
$296$	6.33517	−	2.79353i	0.368224	−	0.162371i
$297$	1.09605	−	1.60760i	0.0635990	−	0.0932827i
$298$	0.0875854	+	0.0678953i	0.00507368	+	0.00393307i
$299$	−1.54066	+	20.5587i	−0.0890988	+	1.18894i
$300$	−3.72845	+	3.65563i	−0.215262	+	0.211058i
$301$	−6.46462	+	2.44543i	−0.372614	+	0.140952i
$302$	−0.801903	+	1.43419i	−0.0461443	+	0.0825281i
$303$	2.31718	−	0.909427i	0.133119	−	0.0522452i
$304$	10.1135	−	14.2229i	0.580050	−	0.815737i
$305$	−7.19132	+	18.3232i	−0.411774	+	1.04918i
$306$	−10.4867	+	3.39353i	−0.599484	+	0.193995i
$307$	16.2678	+	20.3992i	0.928452	+	1.16424i	0.986141	+	0.165908i	$0.0530554\pi$
$307$	16.2678	+	20.3992i	0.928452	+	1.16424i	−0.0576889	+	0.998335i	$0.518373\pi$
$308$	4.97669	−	2.04093i	0.283573	−	0.116293i
$309$	−0.815318	+	1.02238i	−0.0463818	+	0.0581610i
$310$	10.5716	−	28.0663i	0.600427	−	1.59406i
$311$	−4.69079	+	4.35241i	−0.265990	+	0.246803i	−0.801880	−	0.597485i	$-0.796167\pi$
$311$	−4.69079	+	4.35241i	−0.265990	+	0.246803i	0.535890	+	0.844288i	$0.319976\pi$
$312$	2.25271	−	2.27039i	0.127534	−	0.128535i
$313$	−2.06748	−	1.19366i	−0.116861	−	0.0674695i	0.440430	−	0.897787i	$-0.354826\pi$
$313$	−2.06748	−	1.19366i	−0.116861	−	0.0674695i	−0.557291	+	0.830317i	$0.688159\pi$
$314$	15.2099	+	13.7279i	0.858343	+	0.774708i
$315$	−12.3060	+	24.7661i	−0.693366	+	1.39541i
$316$	−10.9459	+	17.0448i	−0.615754	+	0.958848i
$317$	−0.891158	−	0.826874i	−0.0500524	−	0.0464419i	0.654750	−	0.755845i	$-0.272774\pi$
$317$	−0.891158	−	0.826874i	−0.0500524	−	0.0464419i	−0.704802	+	0.709404i	$0.748964\pi$
$318$	1.61879	+	3.24633i	0.0907772	+	0.182045i
$319$	−0.863999	+	5.73226i	−0.0483747	+	0.320945i
$320$	6.20803	−	28.2141i	0.347039	−	1.57721i
$321$	−3.99837	−	0.912601i	−0.223167	−	0.0509364i
$322$	−16.2594	−	15.0439i	−0.906103	−	0.838362i
$323$	11.4531	−	2.61411i	0.637270	−	0.145453i
$324$	−10.3966	−	12.3249i	−0.577592	−	0.684715i
$325$	−24.2478	+	13.9995i	−1.34502	+	0.776550i
$326$	0.772402	−	3.61271i	0.0427794	−	0.200090i
$327$	3.37334	−	2.29990i	0.186546	−	0.127185i
$328$	12.0393	+	5.19679i	0.664761	+	0.286944i
$329$	−3.87322	−	2.71142i	−0.213538	−	0.149486i
$330$	−0.474641	+	1.61750i	−0.0261282	+	0.0890402i
$331$	5.78107	−	18.7418i	0.317756	−	1.03014i	−0.645995	−	0.763341i	$-0.723558\pi$
$331$	5.78107	−	18.7418i	0.317756	−	1.03014i	0.963752	−	0.266800i	$-0.0859663\pi$
$332$	−22.7378	−	19.9611i	−1.24790	−	1.09551i
$333$	0.529509	+	7.06581i	0.0290169	+	0.387204i
$334$	9.38008	−	14.1735i	0.513255	−	0.775539i
$335$	45.4279	−	21.8769i	2.48199	−	1.19526i
$336$	0.402931	+	3.41278i	0.0219817	+	0.186182i
$337$	2.62493	+	1.26410i	0.142989	+	0.0688599i	0.504010	−	0.863698i	$-0.331857\pi$
$337$	2.62493	+	1.26410i	0.142989	+	0.0688599i	−0.361021	+	0.932558i	$0.617572\pi$
$338$	−1.06080	+	0.632088i	−0.0577001	+	0.0343811i
$339$	−5.38066	+	1.65971i	−0.292237	+	0.0901432i
$340$	15.7596	−	11.3928i	0.854686	−	0.617862i
$341$	−0.889742	−	5.90306i	−0.0481823	−	0.319668i
$342$	10.2632	+	14.6167i	0.554968	+	0.790383i
$343$	12.0759	−	14.0418i	0.652038	−	0.758187i
$344$	1.94027	+	7.12960i	0.104612	+	0.384402i
$345$	6.86448	−	1.03465i	0.369571	−	0.0557039i
$346$	27.9194	−	0.384463i	1.50096	−	0.0206689i
$347$	−7.13671	−	23.1366i	−0.383119	−	1.24204i	−0.917819	−	0.396999i	$-0.870052\pi$
$347$	−7.13671	−	23.1366i	−0.383119	−	1.24204i	0.534701	−	0.845042i	$-0.320424\pi$
$348$	−3.37980	−	1.51443i	−0.181176	−	0.0811822i
$349$	2.52692	−	5.24720i	0.135263	−	0.280876i	−0.822325	−	0.569018i	$-0.807323\pi$
$349$	2.52692	−	5.24720i	0.135263	−	0.280876i	0.957588	+	0.288142i	$0.0930376\pi$
$350$	4.44171	−	29.7540i	0.237420	−	1.59042i
$351$	2.89204	+	6.00538i	0.154365	+	0.320543i
$352$	−1.66220	−	5.50484i	−0.0885957	−	0.293409i
$353$	−4.78133	+	0.358311i	−0.254485	+	0.0190710i	−0.201362	−	0.979517i	$-0.564537\pi$
$353$	−4.78133	+	0.358311i	−0.254485	+	0.0190710i	−0.0531230	+	0.998588i	$0.516918\pi$
$354$	−6.21856	+	1.50972i	−0.330513	+	0.0802409i
$355$	−21.6710	−	6.68463i	−1.15018	−	0.354783i
$356$	−2.46306	−	7.26814i	−0.130542	−	0.385211i
$357$	−1.32661	+	1.89504i	−0.0702118	+	0.100296i
$358$	−1.63622	+	26.7766i	−0.0864767	+	1.41519i
$359$	9.94963	+	14.5934i	0.525121	+	0.770212i	0.993563	−	0.113283i	$-0.0361367\pi$
$359$	9.94963	+	14.5934i	0.525121	+	0.770212i	−0.468441	+	0.883495i	$0.655184\pi$
$360$	25.0942	+	15.6313i	1.32258	+	0.823840i
$361$	−0.0179026	−	0.0310083i	−0.000942244	−	0.00163201i
$362$	−0.214483	−	2.41530i	−0.0112730	−	0.126945i
$363$	−0.720156	−	3.15521i	−0.0377984	−	0.165606i
$364$	−2.46944	+	18.2607i	−0.129434	+	0.957121i
$365$	2.10969	−	9.24315i	0.110426	−	0.483808i
$366$	−2.48010	−	0.338959i	−0.129637	−	0.0177177i
$367$	−25.3258	−	3.81725i	−1.32200	−	0.199259i	−0.550150	−	0.835066i	$-0.685429\pi$
$367$	−25.3258	−	3.81725i	−1.32200	−	0.199259i	−0.771848	+	0.635807i	$0.780667\pi$
$368$	−17.6736	+	15.7616i	−0.921299	+	0.821632i
$369$	−9.12768	+	9.83730i	−0.475168	+	0.512109i
$370$	−4.72702	−	11.5731i	−0.245746	−	0.601656i
$371$	−18.7166	−	9.30007i	−0.971717	−	0.482836i
$372$	3.78556	+	0.464376i	0.196272	+	0.0240767i
$373$	−1.60741	+	2.78412i	−0.0832285	+	0.144156i	−0.904635	−	0.426187i	$-0.859856\pi$
$373$	−1.60741	+	2.78412i	−0.0832285	+	0.144156i	0.821406	+	0.570343i	$0.193190\pi$
$374$	1.63129	−	3.51025i	0.0843521	−	0.181511i
$375$	2.42477	+	2.61328i	0.125215	+	0.134949i
$376$	−3.28193	+	3.84396i	−0.169252	+	0.198237i
$377$	−15.5265	−	12.3820i	−0.799656	−	0.637704i
$378$	−6.98446	−	1.58378i	−0.359242	−	0.0814608i
$379$	5.33103	−	4.25136i	0.273837	−	0.218378i	−0.476936	−	0.878938i	$-0.658253\pi$
$379$	5.33103	−	4.25136i	0.273837	−	0.218378i	0.750773	+	0.660560i	$0.229681\pi$
$380$	−25.1677	−	18.9608i	−1.29108	−	0.972667i
$381$	5.35388	+	2.10124i	0.274288	+	0.107650i
$382$	3.84313	+	4.68531i	0.196632	+	0.239721i
$383$	−7.21861	−	18.3927i	−0.368854	−	0.939825i	−0.987987	−	0.154538i	$-0.950611\pi$
$383$	−7.21861	−	18.3927i	−0.368854	−	0.939825i	0.619133	−	0.785286i	$-0.287484\pi$
$384$	3.67290	−	0.0793003i	0.187432	−	0.00404678i
$385$	−3.43621	−	9.08379i	−0.175125	−	0.462953i
$386$	1.60453	+	9.73399i	0.0816687	+	0.495447i
$387$	−7.54052	−	0.565084i	−0.383306	−	0.0287248i
$388$	−27.7060	−	1.31038i	−1.40656	−	0.0665245i
$389$	−24.8143	−	16.9181i	−1.25814	−	0.857783i	−0.263854	−	0.964563i	$-0.584994\pi$
$389$	−24.8143	−	16.9181i	−1.25814	−	0.857783i	−0.994283	+	0.106780i	$0.965946\pi$
$390$	−3.98577	−	4.17874i	−0.201827	−	0.211599i
$391$	−15.9406			−0.806151
$392$	−13.7057	−	14.2882i	−0.692244	−	0.721664i
$393$	−1.30825			−0.0659925
$394$	−6.75970	−	7.08696i	−0.340549	−	0.357036i
$395$	30.2197	+	20.6034i	1.52052	+	1.03667i
$396$	5.87820	+	0.278014i	0.295391	+	0.0139707i
$397$	−3.08908	−	0.231494i	−0.155036	−	0.0116184i	−0.00301415	−	0.999995i	$-0.500959\pi$
$397$	−3.08908	−	0.231494i	−0.155036	−	0.0116184i	−0.152022	+	0.988377i	$0.548578\pi$
$398$	1.25578	+	7.61823i	0.0629464	+	0.381868i
$399$	3.56789	+	1.14902i	0.178618	+	0.0575229i
$400$	−31.2073	−	7.77338i	−1.56036	−	0.388669i
$401$	1.43344	+	3.65234i	0.0715825	+	0.182389i	0.962187	−	0.272389i	$-0.0878137\pi$
$401$	1.43344	+	3.65234i	0.0715825	+	0.182389i	−0.890605	+	0.454778i	$0.849719\pi$
$402$	4.06644	+	4.95755i	0.202816	+	0.247260i
$403$	19.0372	+	7.47154i	0.948309	+	0.372184i
$404$	12.2456	+	9.22555i	0.609241	+	0.458988i
$405$	−22.7618	+	18.1519i	−1.13104	+	0.901976i
$406$	20.7961	−	4.77750i	1.03210	−	0.237104i
$407$	−1.94548	−	1.55147i	−0.0964337	−	0.0769033i
$408$	1.88072	+	1.60574i	0.0931098	+	0.0794961i
$409$	10.5158	+	11.3333i	0.519973	+	0.560397i	0.937374	−	0.348325i	$-0.113249\pi$
$409$	10.5158	+	11.3333i	0.519973	+	0.560397i	−0.417401	+	0.908722i	$0.637059\pi$
$410$	9.97812	−	21.4711i	0.492784	−	1.06038i
$411$	3.14327	−	5.44430i	0.155046	−	0.268547i
$412$	−7.99428	−	0.980660i	−0.393850	−	0.0483137i
$413$	23.3415	−	28.5386i	1.14856	−	1.40429i
$414$	−9.16367	−	22.4353i	−0.450370	−	1.10263i
$415$	−37.1578	+	40.0465i	−1.82400	+	1.96581i
$416$	19.1789	+	4.49771i	0.940322	+	0.220519i
$417$	−6.04280	−	0.910806i	−0.295917	−	0.0446024i
$418$	−6.21440	−	0.849331i	−0.303956	−	0.0415422i
$419$	1.51303	−	6.62902i	0.0739164	−	0.323849i	−0.924429	−	0.381355i	$-0.875458\pi$
$419$	1.51303	−	6.62902i	0.0739164	−	0.323849i	0.998345	+	0.0575058i	$0.0183148\pi$
$420$	6.17968	−	0.557567i	0.301538	−	0.0272065i
$421$	5.33882	+	23.3909i	0.260198	+	1.14000i	0.921037	+	0.389475i	$0.127343\pi$
$421$	5.33882	+	23.3909i	0.260198	+	1.14000i	−0.660839	+	0.750528i	$0.729799\pi$
$422$	−2.02993	−	22.8591i	−0.0988154	−	1.11276i
$423$	−2.58629	−	4.47959i	−0.125750	−	0.217805i
$424$	−11.8131	+	18.9645i	−0.573693	+	0.921000i
$425$	−12.1952	−	17.8871i	−0.591555	−	0.867651i
$426$	0.175901	−	2.87862i	0.00852245	−	0.139470i
$427$	12.5777	−	7.05598i	0.608678	−	0.341463i
$428$	−8.10737	−	23.9237i	−0.391884	−	1.15639i
$429$	−1.09840	−	0.338811i	−0.0530312	−	0.0163579i
$430$	12.9645	−	3.14749i	0.625205	−	0.151785i
$431$	2.22820	−	0.166980i	0.107329	−	0.00804316i	−0.0209575	−	0.999780i	$-0.506671\pi$
$431$	2.22820	−	0.166980i	0.107329	−	0.00804316i	0.128286	+	0.991737i	$0.459052\pi$
$432$	−2.40056	+	7.27019i	−0.115497	+	0.349787i
$433$	8.55861	+	17.7721i	0.411301	+	0.854075i	0.998988	+	0.0449864i	$0.0143244\pi$
$433$	8.55861	+	17.7721i	0.411301	+	0.854075i	−0.587687	+	0.809089i	$0.699961\pi$
$434$	−19.0142	+	11.0137i	−0.912710	+	0.528674i
$435$	−2.90140	+	6.02482i	−0.139112	+	0.288868i
$436$	22.9481	+	10.2827i	1.09902	+	0.492452i
$437$	7.61352	+	24.6824i	0.364204	+	1.18072i
$438$	1.20555	−	0.0166009i	0.0576033	−	0.000793224i
$439$	8.54427	−	1.28784i	0.407796	−	0.0614653i	0.0580587	−	0.998313i	$-0.481509\pi$
$439$	8.54427	−	1.28784i	0.407796	−	0.0614653i	0.349737	+	0.936848i	$0.386271\pi$
$440$	−10.0182	+	2.72638i	−0.477599	+	0.129975i
$441$	18.4670	−	8.33752i	0.879382	−	0.397025i
$442$	7.61998	+	10.8523i	0.362445	+	0.516193i
$443$	−5.09326	−	33.7916i	−0.241988	−	1.60549i	−0.698393	−	0.715714i	$-0.746101\pi$
$443$	−5.09326	−	33.7916i	−0.241988	−	1.60549i	0.456405	−	0.889772i	$-0.349137\pi$
$444$	1.28836	−	0.931372i	0.0611430	−	0.0442010i
$445$	−13.2406	+	4.08417i	−0.627663	+	0.193608i
$446$	29.3497	−	17.4882i	1.38975	−	0.828092i
$447$	0.0229254	+	0.0110403i	0.00108433	+	0.000522187i
$448$	−16.6080	+	13.1215i	−0.784654	+	0.619935i
$449$	−6.81365	+	3.28128i	−0.321556	+	0.154853i	−0.587697	−	0.809081i	$-0.699965\pi$
$449$	−6.81365	+	3.28128i	−0.321556	+	0.154853i	0.266142	+	0.963934i	$0.414251\pi$
$450$	18.1642	−	27.4465i	0.856271	−	1.29384i
$451$	−0.352185	−	4.69959i	−0.0165838	−	0.221295i
$452$	−26.0632	−	22.8803i	−1.22591	−	1.07620i
$453$	−0.111206	+	0.360521i	−0.00522492	+	0.0169388i
$454$	5.10191	−	17.3864i	0.239445	−	0.815986i
$455$	32.8355	+	5.36492i	1.53935	+	0.251511i
$456$	1.58806	−	3.67904i	0.0743677	−	0.172287i
$457$	6.23225	−	4.24908i	0.291533	−	0.198764i	−0.408718	−	0.912661i	$-0.634024\pi$
$457$	6.23225	−	4.24908i	0.291533	−	0.198764i	0.700251	+	0.713897i	$0.253072\pi$
$458$	3.45228	−	16.1472i	0.161314	−	0.754507i
$459$	−4.46328	+	2.57688i	−0.208328	+	0.120278i
$460$	27.5691	+	32.6823i	1.28542	+	1.52382i
$461$	1.91325	−	0.436686i	0.0891088	−	0.0203385i	−0.177734	−	0.984079i	$-0.556877\pi$
$461$	1.91325	−	0.436686i	0.0891088	−	0.0203385i	0.266843	+	0.963740i	$0.414020\pi$
$462$	1.01947	−	0.697172i	0.0474299	−	0.0324354i
$463$	−8.24963	−	1.88292i	−0.383393	−	0.0875069i	0.0264806	−	0.999649i	$-0.491570\pi$
$463$	−8.24963	−	1.88292i	−0.383393	−	0.0875069i	−0.409873	+	0.912142i	$0.634427\pi$
$464$	−2.95435	−	22.6190i	−0.137152	−	1.05006i
$465$	1.02635	−	6.80938i	0.0475958	−	0.315777i
$466$	12.0587	+	24.1826i	0.558610	+	1.12024i
$467$	3.54961	+	3.29356i	0.164256	+	0.152408i	0.758019	−	0.652233i	$-0.226168\pi$
$467$	3.54961	+	3.29356i	0.164256	+	0.152408i	−0.593762	+	0.804641i	$0.702358\pi$
$468$	−10.8935	+	16.9632i	−0.503550	+	0.784124i
$469$	−35.9114	−	8.66475i	−1.65823	−	0.400101i
$470$	6.77470	+	6.11458i	0.312494	+	0.282045i
$471$	4.07417	+	2.35222i	0.187728	+	0.108385i
$472$	−27.9786	−	27.7607i	−1.28782	−	1.27779i
$473$	1.94664	−	1.80622i	0.0895068	−	0.0830502i
$474$	−1.63949	+	4.35264i	−0.0753041	+	0.199923i
$475$	−21.8717	+	27.4262i	−1.00354	+	1.25840i
$476$	−14.2224	−	0.848911i	−0.651884	−	0.0389098i
$477$	−14.2562	−	17.8768i	−0.652749	−	0.818521i
$478$	−11.2529	+	3.64148i	−0.514695	+	0.166557i
$479$	2.42139	−	6.16959i	0.110636	−	0.281896i	−0.864823	−	0.502077i	$-0.832570\pi$
$479$	2.42139	−	6.16959i	0.110636	−	0.281896i	0.975459	+	0.220181i	$0.0706648\pi$
$480$	0.0394797	−	6.63308i	0.00180199	−	0.302757i
$481$	7.93525	−	3.11435i	0.361816	−	0.142002i
$482$	−3.32701	+	5.95029i	−0.151541	+	0.271028i
$483$	−4.37301	−	2.59733i	−0.198979	−	0.118183i
$484$	14.2333	−	13.9553i	0.646969	−	0.634334i
$485$	−3.74254	+	49.9408i	−0.169940	+	2.26769i
$486$	−9.34420	−	7.24354i	−0.423862	−	0.328573i
$487$	19.6967	−	28.8897i	0.892542	−	1.30912i	−0.0579341	−	0.998320i	$-0.518451\pi$
$487$	19.6967	−	28.8897i	0.892542	−	1.30912i	0.950476	−	0.310798i	$-0.100596\pi$
$488$	−6.22051	−	14.1069i	−0.281589	−	0.638587i
$489$		−	0.848261i		−	0.0383597i
$490$	−26.4699	+	24.0268i	−1.19579	+	1.08542i
$491$		−	2.92120i		−	0.131832i	−0.997825	−	0.0659160i	$-0.979003\pi$
$491$		−	2.92120i		−	0.131832i	0.997825	−	0.0659160i	$-0.0209969\pi$
$492$	2.95273	+	0.588903i	0.133119	+	0.0265498i
$493$	8.64985	−	12.6870i	0.389570	−	0.571394i
$494$	13.1643	−	16.9820i	0.592290	−	0.764058i
$495$	0.794030	−	10.5956i	0.0356890	−	0.476237i
$496$	9.77293	+	21.3614i	0.438817	+	0.959153i
$497$	9.18969	+	13.8433i	0.412214	+	0.620955i
$498$	−6.06369	−	3.39042i	−0.271720	−	0.151928i
$499$	5.99362	−	2.35232i	0.268311	−	0.105304i	−0.227371	−	0.973808i	$-0.573013\pi$
$499$	5.99362	−	2.35232i	0.268311	−	0.105304i	0.495683	+	0.868504i	$0.334918\pi$
$500$	−5.89178	+	21.1519i	−0.263489	+	0.945942i
$501$	1.42575	−	3.63275i	0.0636977	−	0.162299i
$502$	3.48798	+	10.7785i	0.155676	+	0.481070i
$503$	−9.35419	−	11.7298i	−0.417083	−	0.523005i	0.528261	−	0.849082i	$-0.322844\pi$
$503$	−9.35419	−	11.7298i	−0.417083	−	0.523005i	−0.945343	+	0.326077i	$0.894273\pi$
$504$	−6.98116	−	20.5051i	−0.310966	−	0.913368i
$505$	17.2598	−	21.6431i	0.768051	−	0.963105i
$506$	7.96454	+	2.99996i	0.354067	+	0.133365i
$507$	−0.207844	+	0.192851i	−0.00923066	+	0.00856480i
$508$	6.24228	+	34.8701i	0.276956	+	1.54711i
$509$	10.8110	+	6.24176i	0.479191	+	0.276661i	0.720079	−	0.693892i	$-0.244105\pi$
$509$	10.8110	+	6.24176i	0.479191	+	0.276661i	−0.240888	+	0.970553i	$0.577439\pi$
$510$	2.99167	−	3.31464i	0.132473	−	0.146775i
$511$	−5.48394	+	4.26352i	−0.242595	+	0.188607i
$512$	12.2624	+	19.0167i	0.541924	+	0.840427i
$513$	6.12177	+	5.68017i	0.270283	+	0.250786i
$514$	37.0626	−	18.4813i	1.63476	−	0.815176i
$515$	−2.16743	+	14.3799i	−0.0955082	+	0.633655i
$516$	0.777922	+	1.50770i	0.0342461	+	0.0663729i
$517$	1.77098	+	0.404216i	0.0778878	+	0.0177774i
$518$	−2.68737	+	8.75613i	−0.118076	+	0.384722i
$519$	6.25043	−	1.42662i	0.274364	−	0.0626217i
$520$	9.07135	−	34.3919i	0.397805	−	1.50818i
$521$	4.67395	−	2.69851i	0.204769	−	0.118224i	−0.394109	−	0.919064i	$-0.628947\pi$
$521$	4.67395	−	2.69851i	0.204769	−	0.118224i	0.598878	+	0.800840i	$0.295613\pi$
$522$	22.8285	+	4.88077i	0.999178	+	0.213625i
$523$	−15.4331	+	10.5221i	−0.674843	+	0.460101i	−0.851626	−	0.524149i	$-0.824383\pi$
$523$	−15.4331	+	10.5221i	−0.674843	+	0.460101i	0.176783	+	0.984250i	$0.443431\pi$
$524$	−4.21951	−	6.86466i	−0.184330	−	0.299884i
$525$	−0.431046	−	6.89405i	−0.0188124	−	0.300881i
$526$	−7.83812	−	2.30003i	−0.341758	−	0.100286i
$527$	−4.66086	+	15.1101i	−0.203030	+	0.658208i
$528$	−0.637488	−	1.15624i	−0.0277431	−	0.0503187i
$529$	−0.900428	−	12.0154i	−0.0391490	−	0.522408i
$530$	33.6414	+	22.2640i	1.46129	+	0.967087i
$531$	36.3411	−	17.5009i	1.57707	−	0.759476i
$532$	5.47843	+	22.4274i	0.237520	+	0.972352i
$533$	14.5460	+	7.00496i	0.630055	+	0.303419i
$534$	−0.901958	−	1.51371i	−0.0390315	−	0.0655048i
$535$	−43.5824	+	13.4434i	−1.88423	+	0.581208i
$536$	−12.8978	+	37.3271i	−0.557098	+	1.61228i
$537$	0.918047	+	6.09084i	0.0396166	+	0.262839i
$538$	−17.7102	+	12.4353i	−0.763542	+	0.536122i
$539$	−2.26476	+	6.74562i	−0.0975501	+	0.290555i
$540$	13.0024	+	4.69417i	0.559536	+	0.202005i
$541$	31.6489	−	4.77031i	1.36069	−	0.205091i	0.572189	−	0.820122i	$-0.306094\pi$
$541$	31.6489	−	4.77031i	1.36069	−	0.205091i	0.788504	+	0.615030i	$0.210856\pi$
$542$	0.215325	+	15.6367i	0.00924900	+	0.671655i
$543$	−0.164108	−	0.532024i	−0.00704253	−	0.0228313i
$544$	−2.35974	+	15.0476i	−0.101173	+	0.645159i
$545$	19.6999	−	40.9073i	0.843852	−	1.75228i
$546$	0.322143	+	4.21872i	0.0137865	+	0.180545i
$547$	5.08964	+	10.5687i	0.217617	+	0.451887i	0.980987	−	0.194075i	$-0.0621706\pi$
$547$	5.08964	+	10.5687i	0.217617	+	0.451887i	−0.763369	+	0.645962i	$0.776456\pi$
$548$	38.7054	−	1.06618i	1.65341	−	0.0455451i
$549$	15.7338	−	1.17909i	0.671503	−	0.0503222i
$550$	2.72691	+	11.2322i	0.116276	+	0.478941i
$551$	−23.7759	−	7.33388i	−1.01289	−	0.312434i
$552$	−3.21169	+	4.38748i	−0.136699	+	0.186744i
$553$	−7.58162	−	25.7024i	−0.322403	−	1.09298i
$554$	−23.9138	−	1.46128i	−1.01600	−	0.0620838i
$555$	−1.61696	−	2.37164i	−0.0686360	−	0.100671i
$556$	−14.7107	−	34.6455i	−0.623874	−	1.46929i
$557$	−2.51911	−	4.36323i	−0.106738	−	0.184876i	0.807709	−	0.589582i	$-0.200707\pi$
$557$	−2.51911	−	4.36323i	−0.106738	−	0.184876i	−0.914447	+	0.404706i	$0.867374\pi$
$558$	−23.9458	+	2.12643i	−1.01371	+	0.0900190i
$559$	2.02432	+	8.86914i	0.0856197	+	0.375124i
$560$	22.8571	+	30.6277i	0.965887	+	1.29426i
$561$	0.197770	−	0.866486i	0.00834985	−	0.0365831i
$562$	−1.14155	+	8.35252i	−0.0481535	+	0.352330i
$563$	11.0879	+	1.67123i	0.467298	+	0.0704338i	0.378471	−	0.925613i	$-0.376450\pi$
$563$	11.0879	+	1.67123i	0.467298	+	0.0704338i	0.0888271	+	0.996047i	$0.471688\pi$
$564$	−0.552376	+	1.02066i	−0.0232592	+	0.0429773i
$565$	−42.5920	+	45.9032i	−1.79186	+	1.93116i
$566$	−7.47421	+	3.05283i	−0.314165	+	0.128320i
$567$	21.3288	+	0.263570i	0.895726	+	0.0110689i
$568$	15.6721	−	8.36146i	0.657585	−	0.350839i
$569$	−13.7771	+	23.8626i	−0.577566	+	1.00037i	0.418191	+	0.908359i	$0.362664\pi$
$569$	−13.7771	+	23.8626i	−0.577566	+	1.00037i	−0.995758	+	0.0920151i	$0.970669\pi$
$570$	−6.56126	−	3.04917i	−0.274821	−	0.127715i
$571$	−21.9017	−	23.6044i	−0.916557	−	0.987814i	0.0834049	−	0.996516i	$-0.473421\pi$
$571$	−21.9017	−	23.6044i	−0.916557	−	0.987814i	−0.999962	+	0.00870195i	$0.997230\pi$
$572$	−1.76486	−	6.85629i	−0.0737927	−	0.286676i
$573$	1.08784	+	0.867525i	0.0454452	+	0.0362414i
$574$	−15.6184	+	7.54863i	−0.651900	+	0.315074i
$575$	37.2151	−	29.6780i	1.55198	−	1.23766i
$576$	−22.5349	+	5.32913i	−0.938955	+	0.222047i
$577$	10.2678	+	4.02982i	0.427454	+	0.167764i	0.569308	−	0.822124i	$-0.307211\pi$
$577$	10.2678	+	4.02982i	0.427454	+	0.167764i	−0.141854	+	0.989888i	$0.545306\pi$
$578$	10.6610	−	8.74473i	0.443441	−	0.363733i
$579$	0.827563	+	2.10860i	0.0343924	+	0.0876303i
$580$	−40.9714	+	4.20767i	−1.70124	+	0.174714i
$581$	39.6492	−	5.47599i	1.64492	−	0.227182i
$582$	−6.28388	+	1.03582i	−0.260475	+	0.0429363i
$583$	8.00745	+	0.600076i	0.331635	+	0.0248526i
$584$	3.97537	+	6.27221i	0.164502	+	0.259546i
$585$	30.0749	+	20.5047i	1.24344	+	0.847765i
$586$	9.19182	−	8.76736i	0.379711	−	0.362176i
$587$	−27.4194			−1.13172			−0.565859	−	0.824502i	$-0.691456\pi$
$587$	−27.4194			−1.13172			−0.565859	+	0.824502i	$0.691456\pi$
$588$	−3.76334	−	2.55025i	−0.155197	−	0.105171i
$589$	25.6226			1.05576
$590$	−51.4957	+	49.1178i	−2.12005	+	2.02215i
$591$	−1.85801	−	1.26677i	−0.0764282	−	0.0521079i
$592$	9.04247	+	3.75634i	0.371643	+	0.154385i
$593$	−40.4479	−	3.03115i	−1.66099	−	0.124474i	−0.789132	−	0.614224i	$-0.789469\pi$
$593$	−40.4479	−	3.03115i	−1.66099	−	0.124474i	−0.871863	+	0.489750i	$0.837088\pi$
$594$	2.71498	−	0.447533i	0.111397	−	0.0183625i
$595$	−2.23928	+	25.6275i	−0.0918016	+	1.05063i
$596$	0.0160108	+	0.155902i	0.000655830	+	0.00638602i
$597$	0.647686	+	1.65028i	0.0265080	+	0.0675414i
$598$	−22.5426	+	18.4906i	−0.921834	+	0.756136i
$599$	−26.5372	−	10.4151i	−1.08428	−	0.425548i	−0.245152	−	0.969485i	$-0.578838\pi$
$599$	−26.5372	−	10.4151i	−1.08428	−	0.425548i	−0.839126	+	0.543937i	$0.816933\pi$
$600$	−7.38030	−	0.247267i	−0.301300	−	0.0100946i
$601$	−0.596081	+	0.475359i	−0.0243146	+	0.0193903i	−0.635572	−	0.772042i	$-0.719236\pi$
$601$	−0.596081	+	0.475359i	−0.0243146	+	0.0193903i	0.611257	+	0.791432i	$0.290664\pi$
$602$	−8.81259	−	4.22859i	−0.359175	−	0.172345i
$603$	−31.5985	−	25.1989i	−1.28679	−	1.02618i
$604$	−2.25040	+	0.579272i	−0.0915677	+	0.0235702i
$605$	−24.4800	−	26.3832i	−0.995255	−	1.07263i
$606$	3.19245	+	1.48360i	0.129684	+	0.0602672i
$607$	18.1533	−	31.4424i	0.736819	−	1.27621i	−0.217101	−	0.976149i	$-0.569660\pi$
$607$	18.1533	−	31.4424i	0.736819	−	1.27621i	0.953921	−	0.300059i	$-0.0970064\pi$
$608$	24.4267	−	3.53317i	0.990632	−	0.143289i
$609$	4.44012	−	2.07106i	0.179923	−	0.0839234i
$610$	−25.7704	+	10.5259i	−1.04341	+	0.426181i
$611$	−4.23271	+	4.56177i	−0.171237	+	0.184550i
$612$	−13.7087	−	7.41913i	−0.554143	−	0.299901i
$613$	9.75180	+	1.46985i	0.393871	+	0.0593666i	0.342992	−	0.939338i	$-0.388560\pi$
$613$	9.75180	+	1.46985i	0.393871	+	0.0593666i	0.0508792	+	0.998705i	$0.483798\pi$
$614$	−4.99659	+	36.5591i	−0.201646	+	1.47541i
$615$	1.20970	−	5.30004i	0.0487798	−	0.213718i
$616$	6.94630	+	3.10075i	0.279875	+	0.124933i
$617$	−4.13381	−	18.1114i	−0.166421	−	0.729138i	−0.987408	−	0.158192i	$-0.949434\pi$
$617$	−4.13381	−	18.1114i	−0.166421	−	0.729138i	0.820987	−	0.570946i	$-0.193424\pi$
$618$	−1.84207	+	0.163579i	−0.0740991	+	0.00658013i
$619$	−10.7176	−	18.5634i	−0.430776	−	0.746127i	0.566164	−	0.824293i	$-0.308427\pi$
$619$	−10.7176	−	18.5634i	−0.430776	−	0.746127i	−0.996940	+	0.0781661i	$0.975094\pi$
$620$	39.0405	−	16.5769i	1.56790	−	0.665744i
$621$	−6.38337	−	9.36269i	−0.256156	−	0.375712i
$622$	−9.03268	−	0.551952i	−0.362177	−	0.0221313i
$623$	9.40363	+	3.82541i	0.376748	+	0.153262i
$624$	4.52225	+	0.0891970i	0.181035	+	0.00357074i
$625$	−0.531369	−	0.163906i	−0.0212548	−	0.00655623i
$626$	−0.796519	−	3.28087i	−0.0318353	−	0.131130i
$627$	−1.43612	+	0.107623i	−0.0573533	+	0.00429803i
$628$	0.797865	+	28.9647i	0.0318383	+	1.15582i
$629$	2.85980	+	5.93844i	0.114028	+	0.236781i
$630$	−37.3562	+	11.5807i	−1.48831	+	0.461386i
$631$	−6.18007	+	12.8330i	−0.246025	+	0.510876i	−0.987013	−	0.160643i	$-0.948643\pi$
$631$	−6.18007	+	12.8330i	−0.246025	+	0.510876i	0.740988	+	0.671518i	$0.234358\pi$
$632$	−28.1270	+	5.43589i	−1.11883	+	0.216228i
$633$	−1.55316	−	5.03523i	−0.0617327	−	0.200132i
$634$	−0.0236724	−	1.71907i	−0.000940152	−	0.0682731i
$635$	63.2466	−	9.53289i	2.50986	−	0.378301i
$636$	−1.74204	+	4.82531i	−0.0690764	+	0.191336i
$637$	−16.1336	−	18.2735i	−0.639237	−	0.724023i
$638$	−6.70944	+	4.71104i	−0.265629	+	0.186512i
$639$	2.70935	+	17.9754i	0.107180	+	0.711095i
$640$	34.9324	−	21.1866i	1.38083	−	0.837473i
$641$	−8.44069	+	2.60361i	−0.333387	+	0.102836i	−0.456929	−	0.889503i	$-0.651051\pi$
$641$	−8.44069	+	2.60361i	−0.333387	+	0.102836i	0.123542	+	0.992339i	$0.460575\pi$
$642$	−2.96887	−	4.98251i	−0.117172	−	0.196644i
$643$	−9.90250	−	4.76879i	−0.390516	−	0.188063i	0.228314	−	0.973588i	$-0.426679\pi$
$643$	−9.90250	−	4.76879i	−0.390516	−	0.188063i	−0.618830	+	0.785525i	$0.712393\pi$
$644$	−0.475597	−	31.3233i	−0.0187412	−	1.23431i
$645$	2.75989	−	1.32910i	0.108671	−	0.0523331i
$646$	13.8545	+	9.16896i	0.545097	+	0.360748i
$647$	0.958400	+	12.7890i	0.0376786	+	0.502786i	0.983835	+	0.179076i	$0.0573109\pi$
$647$	0.958400	+	12.7890i	0.0376786	+	0.502786i	−0.946157	+	0.323709i	$0.895070\pi$
$648$	2.46455	−	22.6696i	0.0968168	−	0.890547i
$649$	−4.17526	+	13.5359i	−0.163893	+	0.531329i
$650$	−37.9944	−	11.1492i	−1.49026	−	0.437306i
$651$	−3.74063	+	3.38575i	−0.146607	+	0.132698i
$652$	4.45100	−	2.73591i	0.174315	−	0.107146i
$653$	−14.1241	+	9.62967i	−0.552720	+	0.376838i	−0.807234	−	0.590231i	$-0.799037\pi$
$653$	−14.1241	+	9.62967i	−0.552720	+	0.376838i	0.254515	+	0.967069i	$0.418084\pi$
$654$	5.64630	+	1.20718i	0.220788	+	0.0472046i
$655$	−12.5996	+	7.27441i	−0.492309	+	0.284235i
$656$	6.43338	+	17.3930i	0.251181	+	0.679082i
$657$	−7.40901	+	1.69106i	−0.289053	+	0.0659744i
$658$	−1.00589	−	6.61026i	−0.0392136	−	0.257695i
$659$	−9.76310	−	2.22836i	−0.380317	−	0.0868048i	0.0280888	−	0.999605i	$-0.491058\pi$
$659$	−9.76310	−	2.22836i	−0.380317	−	0.0868048i	−0.408405	+	0.912801i	$0.633915\pi$
$660$	−2.11856	+	1.09310i	−0.0824647	+	0.0425489i
$661$	−1.89879	+	12.5976i	−0.0738544	+	0.489992i	0.921073	+	0.389391i	$0.127315\pi$
$661$	−1.89879	+	12.5976i	−0.0738544	+	0.489992i	−0.994927	+	0.100601i	$0.967924\pi$
$662$	24.8222	−	12.3777i	0.964744	−	0.481071i
$663$	2.23193	+	2.07093i	0.0866810	+	0.0804282i
$664$	−1.76706	−	42.7526i	−0.0685753	−	1.65912i
$665$	40.7511	−	8.77285i	1.58026	−	0.340197i
$666$	−6.71394	+	7.43876i	−0.260160	+	0.288246i
$667$	29.2385	+	16.8809i	1.13212	+	0.653630i
$668$	23.6602	−	4.23554i	0.915442	−	0.163878i
$669$	5.75050	−	5.33568i	0.222327	−	0.206289i
$670$	66.7295	+	25.1347i	2.57799	+	0.971037i
$671$	−3.45473	+	4.33209i	−0.133368	+	0.167239i
$672$	−3.09917	+	3.74353i	−0.119553	+	0.144410i
$673$	26.4174	+	33.1264i	1.01832	+	1.27693i	0.960405	+	0.278608i	$0.0898729\pi$
$673$	26.4174	+	33.1264i	1.01832	+	1.27693i	0.0579121	+	0.998322i	$0.481556\pi$
$674$	1.26856	+	3.92010i	0.0488631	+	0.150997i
$675$	5.62241	−	14.3257i	0.216407	−	0.551395i
$676$	−1.68229	−	0.468595i	−0.0647034	−	0.0180229i
$677$	2.91245	−	1.14305i	0.111934	−	0.0439310i	−0.308713	−	0.951155i	$-0.599898\pi$
$677$	2.91245	−	1.14305i	0.111934	−	0.0439310i	0.420647	+	0.907224i	$0.361803\pi$
$678$	−6.95049	−	3.88626i	−0.266932	−	0.149251i
$679$	25.2877	−	26.5871i	0.970455	−	1.02032i
$680$	27.0417	+	5.00716i	1.03700	+	0.192016i
$681$	0.310909	−	4.14879i	0.0119141	−	0.158982i
$682$	5.17241	−	6.67245i	0.198062	−	0.255501i
$683$	2.66755	−	3.91258i	0.102071	−	0.149711i	−0.771805	−	0.635859i	$-0.780646\pi$
$683$	2.66755	−	3.91258i	0.102071	−	0.149711i	0.873876	+	0.486148i	$0.161598\pi$
$684$	−4.94023	+	24.7701i	−0.188895	+	0.947108i
$685$		−	69.9114i		−	2.67118i
$686$	26.1569	−	1.34824i	0.998674	−	0.0514761i
$687$		−	3.79134i		−	0.144649i
$688$	−5.40219	+	8.94473i	−0.205956	+	0.341015i
$689$	−15.4961	+	22.7286i	−0.590354	+	0.865891i
$690$	7.75918	+	6.01484i	0.295387	+	0.228981i
$691$	0.234552	−	3.12988i	0.00892279	−	0.119066i	−0.990964	−	0.134130i	$-0.957176\pi$
$691$	0.234552	−	3.12988i	0.00892279	−	0.119066i	0.999887	+	0.0150636i	$0.00479508\pi$
$692$	27.6454	+	28.1960i	1.05092	+	1.07185i
$693$	−5.36513	+	5.64081i	−0.203804	+	0.214277i
$694$	16.7108	−	29.8869i	0.634332	−	1.13449i
$695$	−63.2622	+	24.8286i	−2.39967	+	0.941801i
$696$	−1.74920	−	4.93694i	−0.0663032	−	0.187134i
$697$	−4.56062	+	11.6203i	−0.172746	+	0.440149i
$698$	7.83622	−	2.53583i	0.296605	−	0.0959828i
$699$	3.86852	+	4.85097i	0.146321	+	0.183480i
$700$	34.7843	−	24.4972i	1.31472	−	0.925909i
$701$	−5.63937	+	7.07155i	−0.212996	+	0.267089i	−0.876840	−	0.480783i	$-0.840353\pi$
$701$	−5.63937	+	7.07155i	−0.212996	+	0.267089i	0.663844	+	0.747871i	$0.268924\pi$
$702$	−3.32270	+	8.82137i	−0.125407	+	0.332941i
$703$	7.82918	−	7.26442i	0.295283	−	0.273983i
$704$	4.01091	−	7.07425i	0.151167	−	0.266621i
$705$	1.81469	+	1.04771i	0.0683454	+	0.0394592i
$706$	−5.03370	−	4.54322i	−0.189446	−	0.170987i
$707$	−19.8279	+	4.26852i	−0.745703	+	0.160534i
$708$	−7.61487	−	4.89013i	−0.286184	−	0.183782i
$709$	−20.0573	−	18.6105i	−0.753269	−	0.698932i	0.206897	−	0.978363i	$-0.433664\pi$
$709$	−20.0573	−	18.6105i	−0.753269	−	0.698932i	−0.960166	+	0.279431i	$0.909854\pi$
$710$	−14.3122	−	28.7018i	−0.537128	−	1.07716i
$711$	4.36952	−	28.9899i	0.163870	−	1.08720i
$712$	5.03367	−	9.61495i	0.188645	−	0.360336i
$713$	−33.8960	−	7.73654i	−1.26942	−	0.289736i
$714$	−3.23419	+	0.492149i	−0.121036	+	0.0184182i
$715$	−12.4625	+	2.84449i	−0.466071	+	0.106378i
$716$	−28.9989	+	24.4620i	−1.08374	+	0.914190i
$717$	−2.35186	+	1.35784i	−0.0878317	+	0.0507096i
$718$	−5.22241	+	24.4265i	−0.194898	+	0.911588i
$719$	−18.7536	+	12.7860i	−0.699393	+	0.476838i	−0.860075	−	0.510168i	$-0.829583\pi$
$719$	−18.7536	+	12.7860i	−0.699393	+	0.476838i	0.160682	+	0.987006i	$0.448631\pi$
$720$	8.49805	+	40.9377i	0.316704	+	1.52566i
$721$	7.89941	−	7.14998i	0.294189	−	0.266279i
$722$	0.0142577	−	0.0485876i	0.000530615	−	0.00180824i
$723$	−0.461383	+	1.49577i	−0.0171590	+	0.0556281i
$724$	2.26234	−	2.57705i	0.0840792	−	0.0957753i
$725$	3.42649	+	45.7234i	0.127257	+	1.69812i
$726$	2.52594	−	3.81675i	0.0937465	−	0.141653i
$727$	41.6374	−	20.0515i	1.54425	−	0.743670i	0.548530	−	0.836131i	$-0.315188\pi$
$727$	41.6374	−	20.0515i	1.54425	−	0.743670i	0.995716	+	0.0924607i	$0.0294732\pi$
$728$	−21.0975	+	15.2970i	−0.781924	+	0.566946i
$729$	19.3454	+	9.31625i	0.716496	+	0.345046i
$730$	11.5182	−	6.86322i	0.426308	−	0.254019i
$731$	−6.72149	+	2.07331i	−0.248603	+	0.0766840i
$732$	−2.07394	−	2.86887i	−0.0766549	−	0.106036i
$733$	−0.210337	−	1.39549i	−0.00776897	−	0.0515438i	0.984610	−	0.174764i	$-0.0559161\pi$
$733$	−0.210337	−	1.39549i	−0.00776897	−	0.0515438i	−0.992379	+	0.123220i	$0.960678\pi$
$734$	−20.8140	−	29.6432i	−0.768258	−	1.09415i
$735$	−4.79000	+	6.66557i	−0.176682	+	0.245863i
$736$	−33.3807	−	2.70142i	−1.23043	−	0.0995758i
$737$	14.0349	−	2.11542i	0.516982	−	0.0779225i
$738$	−18.9765	+	0.261314i	−0.698533	+	0.00961912i
$739$	15.0672	+	48.8466i	0.554256	+	1.79685i	0.602626	+	0.798024i	$0.294121\pi$
$739$	15.0672	+	48.8466i	0.554256	+	1.79685i	−0.0483705	+	0.998829i	$0.515403\pi$
$740$	7.22930	−	16.1338i	0.265754	−	0.593090i
$741$	2.14061	−	4.44503i	0.0786374	−	0.163292i
$742$	−8.75191	−	28.2313i	−0.321293	−	1.03641i
$743$	15.8802	+	32.9756i	0.582589	+	1.20976i	0.959027	+	0.283316i	$0.0914345\pi$
$743$	15.8802	+	32.9756i	0.582589	+	1.20976i	−0.376438	+	0.926442i	$0.622851\pi$
$744$	3.21984	+	4.32722i	0.118045	+	0.158644i
$745$	0.282181	−	0.0211465i	0.0103383	−	0.000774749i
$746$	−4.41810	+	1.07261i	−0.161758	+	0.0392712i
$747$	41.8441	+	12.9072i	1.53100	+	0.472250i
$748$	5.18450	−	1.75695i	0.189564	−	0.0642404i
$749$	30.9528	+	12.5916i	1.13099	+	0.460089i
$750$	−0.307498	+	5.03219i	−0.0112282	+	0.183750i
$751$	1.29477	+	1.89908i	0.0472470	+	0.0692986i	0.849135	−	0.528175i	$-0.177124\pi$
$751$	1.29477	+	1.89908i	0.0472470	+	0.0692986i	−0.801888	+	0.597474i	$0.796171\pi$
$752$	−7.13717	+	0.393502i	−0.260266	+	0.0143495i
$753$	1.30061	+	2.25272i	0.0473968	+	0.0820936i
$754$	−2.48423	−	27.9750i	−0.0904702	−	1.01879i
$755$	0.933631	+	4.09050i	0.0339783	+	0.148869i
$756$	−5.19672	−	8.69345i	−0.189003	−	0.316178i
$757$	−4.78122	+	20.9479i	−0.173776	+	0.761365i	0.810645	+	0.585538i	$0.199117\pi$
$757$	−4.78122	+	20.9479i	−0.173776	+	0.761365i	−0.984421	+	0.175826i	$0.943740\pi$
$758$	9.55421	+	1.30579i	0.347024	+	0.0474284i
$759$	1.93234	+	0.291253i	0.0701393	+	0.0105718i
$760$	−5.16251	−	44.2628i	−0.187264	−	1.60558i
$761$	21.7654	−	23.4576i	0.788997	−	0.850336i	−0.202659	−	0.979249i	$-0.564958\pi$
$761$	21.7654	−	23.4576i	0.788997	−	0.850336i	0.991656	+	0.128913i	$0.0411488\pi$
$762$	3.07558	+	7.52990i	0.111417	+	0.272780i
$763$	−30.1475	+	14.0620i	−1.09141	+	0.509080i
$764$	−1.04345	+	8.50617i	−0.0377508	+	0.307742i
$765$	−14.0722	+	24.3737i	−0.508781	+	0.881234i
$766$	11.7761	−	25.3402i	0.425489	−	0.915578i
$767$	−33.0064	−	35.5724i	−1.19179	−	1.28445i
$768$	3.66624	+	3.68125i	0.132294	+	0.132836i
$769$	−39.6692	−	31.6351i	−1.43051	−	1.14079i	−0.967023	−	0.254688i	$-0.918027\pi$
$769$	−39.6692	−	31.6351i	−1.43051	−	1.14079i	−0.463485	−	0.886105i	$-0.653401\pi$
$770$	5.94183	−	12.3831i	0.214129	−	0.446255i
$771$	7.43464	−	5.92893i	0.267752	−	0.213525i
$772$	−8.39509	+	11.1433i	−0.302146	+	0.401055i
$773$	−12.8940	−	5.06052i	−0.463765	−	0.182014i	0.121942	−	0.992537i	$-0.461088\pi$
$773$	−12.8940	−	5.06052i	−0.463765	−	0.182014i	−0.585707	+	0.810523i	$0.699183\pi$
$774$	−6.78197	−	8.26816i	−0.243773	−	0.297193i
$775$	−17.2506	−	43.9538i	−0.619659	−	1.57887i
$776$	−25.7027	−	29.6320i	−0.922672	−	1.06373i
$777$	−0.183063	+	2.09507i	−0.00656735	+	0.0751602i
$778$	−6.90794	−	41.9074i	−0.247662	−	1.50245i
$779$	20.1710	+	1.51161i	0.722703	+	0.0541591i
$780$	0.385824	−	8.15767i	0.0138147	−	0.292091i
$781$	−5.27468	−	3.59621i	−0.188743	−	0.128683i
$782$	−15.5595	−	16.3128i	−0.556407	−	0.583345i
$783$	10.9155			0.390088
$784$	1.24377	−	27.9724i	0.0444205	−	0.999013i
$785$	52.3173			1.86729
$786$	−1.27697	−	1.33880i	−0.0455481	−	0.0477533i
$787$	−32.2753	−	22.0049i	−1.15049	−	0.784390i	−0.170877	−	0.985292i	$-0.554660\pi$
$787$	−32.2753	−	22.0049i	−1.15049	−	0.784390i	−0.979611	+	0.200903i	$0.935613\pi$
$788$	0.654342	−	13.8351i	0.0233100	−	0.492854i
$789$	−1.87035	−	0.140163i	−0.0665862	−	0.00498994i
$790$	8.41270	+	51.0361i	0.299311	+	1.81578i
$791$	45.4477	−	6.27683i	1.61594	−	0.223179i
$792$	5.45316	+	6.28681i	0.193770	+	0.223392i
$793$	−6.93490	−	17.6698i	−0.246265	−	0.627474i
$794$	−2.77832	−	3.38716i	−0.0985990	−	0.120206i
$795$	8.62247	+	3.38407i	0.305808	+	0.120021i
$796$	−6.57036	+	8.72120i	−0.232880	+	0.309115i
$797$	−23.0343	+	18.3692i	−0.815916	+	0.650671i	−0.939838	−	0.341621i	$-0.889024\pi$
$797$	−23.0343	+	18.3692i	−0.815916	+	0.650671i	0.123922	+	0.992292i	$0.460453\pi$
$798$	2.30675	+	4.77275i	0.0816580	+	0.168954i
$799$	−3.76188	−	3.00000i	−0.133086	−	0.106132i
$800$	−22.5063	−	39.5235i	−0.795718	−	1.39737i
$801$	7.55443	+	8.14174i	0.266923	+	0.287674i
$802$	−2.33845	+	5.03193i	−0.0825736	+	0.177684i
$803$	1.33442	−	2.31128i	0.0470906	−	0.0815633i
$804$	−1.10408	+	9.00041i	−0.0389380	+	0.317420i
$805$	−56.5583	−	0.698917i	−1.99342	−	0.0246336i
$806$	10.9361	+	26.7746i	0.385206	+	0.943094i
$807$	−3.37960	+	3.64235i	−0.118968	+	0.128217i
$808$	2.51187	+	21.5365i	0.0883673	+	0.757651i
$809$	−53.4797	−	8.06077i	−1.88025	−	0.283402i	−0.893923	−	0.448221i	$-0.852058\pi$
$809$	−53.4797	−	8.06077i	−1.88025	−	0.283402i	−0.986324	+	0.164820i	$0.947296\pi$
$810$	−40.7933	−	5.57529i	−1.43333	−	0.195896i
$811$	−0.990914	+	4.34148i	−0.0347957	+	0.152450i	−0.989341	−	0.145615i	$-0.953484\pi$
$811$	−0.990914	+	4.34148i	−0.0347957	+	0.152450i	0.954546	+	0.298065i	$0.0963411\pi$
$812$	25.1880	+	16.6184i	0.883926	+	0.583192i
$813$	0.799003	+	3.50066i	0.0280223	+	0.122774i
$814$	−0.311275	−	3.50528i	−0.0109102	−	0.122860i
$815$	−4.71668	−	8.16953i	−0.165218	−	0.286166i
$816$	0.192528	+	3.49199i	0.00673982	+	0.122244i
$817$	6.42060	+	9.41730i	0.224629	+	0.329470i
$818$	−1.33356	+	21.8237i	−0.0466269	+	0.763049i
$819$	−7.54530	−	25.5793i	−0.263654	−	0.893812i
$820$	31.7120	−	10.7467i	1.10743	−	0.375292i
$821$	10.2079	+	3.14871i	0.356257	+	0.109891i	0.467717	−	0.883878i	$-0.345077\pi$
$821$	10.2079	+	3.14871i	0.356257	+	0.109891i	−0.111460	+	0.993769i	$0.535553\pi$
$822$	8.63954	−	2.09748i	0.301338	−	0.0731581i
$823$	−17.6370	+	1.32171i	−0.614787	+	0.0460719i	−0.378484	−	0.925608i	$-0.623555\pi$
$823$	−17.6370	+	1.32171i	−0.614787	+	0.0460719i	−0.236302	+	0.971680i	$0.575936\pi$
$824$	−6.79960	−	9.13815i	−0.236875	−	0.318343i
$825$	1.15150	+	2.39111i	0.0400900	+	0.0832478i
$826$	51.9884	−	3.96986i	1.80891	−	0.138129i
$827$	−17.2737	+	35.8692i	−0.600665	+	1.24729i	0.349906	+	0.936785i	$0.386214\pi$
$827$	−17.2737	+	35.8692i	−0.600665	+	1.24729i	−0.950571	+	0.310508i	$0.899501\pi$
$828$	14.0145	−	31.2766i	0.487039	−	1.08694i
$829$	8.42593	+	27.3162i	0.292645	+	0.948731i	0.975838	+	0.218494i	$0.0701143\pi$
$829$	8.42593	+	27.3162i	0.292645	+	0.948731i	−0.683194	+	0.730237i	$0.739409\pi$
$830$	−77.2510	+	1.06378i	−2.68142	+	0.0369244i
$831$	−5.43964	+	0.819893i	−0.188699	+	0.0284418i
$832$	14.1176	+	24.0169i	0.489441	+	0.832635i
$833$	13.1574	−	13.4955i	0.455877	−	0.467593i
$834$	−4.96626	−	7.07293i	−0.171968	−	0.244915i
$835$	−6.46831	−	42.9144i	−0.223845	−	1.48511i
$836$	−5.19666	−	7.18852i	−0.179730	−	0.248620i
$837$	−10.7413	+	3.31326i	−0.371275	+	0.114523i
$838$	8.26066	−	4.92218i	0.285360	−	0.170034i
$839$	−38.4490	−	18.5161i	−1.32741	−	0.639246i	−0.370282	−	0.928919i	$-0.620739\pi$
$839$	−38.4490	−	18.5161i	−1.32741	−	0.639246i	−0.957125	+	0.289674i	$0.906453\pi$
$840$	6.60253	+	5.77973i	0.227809	+	0.199420i
$841$	−3.17296	+	1.52802i	−0.109412	+	0.0526903i
$842$	−18.7259	+	28.2952i	−0.645336	+	0.975115i
$843$	0.144651	+	1.93024i	0.00498205	+	0.0664809i
$844$	21.4115	−	24.3900i	0.737013	−	0.839537i
$845$	−0.929396	+	3.01303i	−0.0319722	+	0.103651i
$846$	2.05972	−	7.01918i	0.0708147	−	0.241324i
$847$	1.64551	+	26.3180i	0.0565405	+	0.904296i
$848$	−30.9380	+	6.42226i	−1.06242	+	0.220541i
$849$	−1.53167	+	1.04428i	−0.0525668	+	0.0358394i
$850$	6.40108	−	29.9394i	0.219555	−	1.02691i
$851$	−12.5506	+	7.24610i	−0.430229	+	0.248393i
$852$	3.11753	−	2.62979i	0.106805	−	0.0900952i
$853$	−36.4933	+	8.32936i	−1.24951	+	0.285192i	−0.795581	−	0.605847i	$-0.792834\pi$
$853$	−36.4933	+	8.32936i	−1.24951	+	0.285192i	−0.453927	+	0.891039i	$0.649977\pi$
$854$	19.4977	+	5.98410i	0.667199	+	0.204772i
$855$	44.4614	+	10.1480i	1.52055	+	0.347055i
$856$	16.5687	−	31.6484i	0.566307	−	1.08172i
$857$	4.13321	−	27.4221i	0.141188	−	0.936720i	−0.800282	−	0.599623i	$-0.795317\pi$
$857$	4.13321	−	27.4221i	0.141188	−	0.936720i	0.941470	−	0.337096i	$-0.109445\pi$
$858$	−0.725417	−	1.45476i	−0.0247653	−	0.0496645i
$859$	31.1726	+	28.9240i	1.06360	+	0.986873i	0.999938	−	0.0110991i	$-0.00353302\pi$
$859$	31.1726	+	28.9240i	1.06360	+	0.986873i	0.0636574	+	0.997972i	$0.479723\pi$
$860$	15.8756	+	10.1950i	0.541352	+	0.347646i
$861$	−3.14450	+	2.44471i	−0.107164	+	0.0833154i
$862$	2.34581	+	2.11724i	0.0798985	+	0.0721133i
$863$	26.4990	+	15.2992i	0.902037	+	0.520791i	0.877860	−	0.478916i	$-0.158970\pi$
$863$	26.4990	+	15.2992i	0.902037	+	0.520791i	0.0241764	+	0.999708i	$0.492304\pi$
$864$	−9.78311	+	4.63977i	−0.332828	+	0.157848i
$865$	52.2648	−	48.4946i	1.77706	−	1.64887i
$866$	−9.83311	+	26.1057i	−0.334143	+	0.887108i
$867$	1.97398	−	2.47529i	0.0670399	−	0.0840653i
$868$	−29.8305	−	8.70776i	−1.01251	−	0.295561i
$869$	6.41930	+	8.04955i	0.217760	+	0.273062i
$870$	−8.99753	+	2.91164i	−0.305045	+	0.0987138i
$871$	−17.7641	+	45.2621i	−0.601913	+	1.53365i
$872$	11.8767	+	33.5208i	0.402196	+	1.13516i
$873$	37.3682	−	14.6659i	1.26472	−	0.496367i
$874$	−17.8272	+	31.8836i	−0.603015	+	1.07848i
$875$	−16.0647	−	24.1998i	−0.543087	−	0.818101i
$876$	1.19371	+	1.21749i	0.0403319	+	0.0411352i
$877$	1.20077	−	16.0232i	0.0405472	−	0.541065i	−0.939532	−	0.342460i	$-0.888740\pi$
$877$	1.20077	−	16.0232i	0.0405472	−	0.541065i	0.980080	−	0.198605i	$-0.0636411\pi$
$878$	9.65792	+	7.48672i	0.325939	+	0.252665i
$879$	1.64300	−	2.40984i	0.0554171	−	0.0812820i
$880$	−12.5687	−	7.59091i	−0.423692	−	0.255889i
$881$			55.6101i			1.87355i	0.349928	+	0.936777i	$0.386206\pi$
$881$			55.6101i			1.87355i	−0.349928	+	0.936777i	$0.613794\pi$
$882$	26.5577	+	10.7600i	0.894245	+	0.362309i
$883$			3.69694i			0.124412i	0.998063	+	0.0622060i	$0.0198136\pi$
$883$			3.69694i			0.124412i	−0.998063	+	0.0622060i	$0.980186\pi$
$884$	−3.66792	+	18.3908i	−0.123366	+	0.618549i
$885$	−9.20467	+	13.5008i	−0.309412	+	0.453823i
$886$	29.6091	−	38.1959i	0.994737	−	1.28322i
$887$	−2.64812	+	35.3366i	−0.0889150	+	1.18649i	0.757089	+	0.653312i	$0.226621\pi$
$887$	−2.64812	+	35.3366i	−0.0889150	+	1.18649i	−0.846004	+	0.533177i	$0.820998\pi$
$888$	2.21068	+	0.409339i	0.0741856	+	0.0137365i
$889$	−40.2912	−	23.9307i	−1.35132	−	0.802611i
$890$	−17.1035	−	9.56318i	−0.573312	−	0.320559i
$891$	−7.62884	+	2.99410i	−0.255576	+	0.100306i
$892$	46.5446	+	12.9648i	1.55843	+	0.434094i
$893$	−2.84845	+	7.25774i	−0.0953199	+	0.242871i
$894$	0.0110792	+	0.0342370i	0.000370545	+	0.00114506i
$895$	42.7092	+	53.5557i	1.42761	+	1.79017i
$896$	−29.6388	−	4.18792i	−0.990164	−	0.139909i
$897$	−4.17394	+	5.23396i	−0.139364	+	0.174757i
$898$	−10.0086	−	3.76990i	−0.333993	−	0.125803i
$899$	24.5504	−	22.7795i	0.818803	−	0.759738i
$900$	45.8174	−	8.20200i	1.52725	−	0.273400i
$901$	−18.4201	−	10.6348i	−0.613661	−	0.354297i
$902$	4.46555	−	4.94764i	0.148687	−	0.164738i
$903$	−2.18174	−	0.526412i	−0.0726036	−	0.0175179i
$904$	−2.02549	−	49.0050i	−0.0673668	−	1.62988i
$905$	−4.53878	−	4.21137i	−0.150874	−	0.139991i
$906$	−0.477487	+	0.238100i	−0.0158634	+	0.00791033i
$907$	−2.37649	+	15.7670i	−0.0789102	+	0.523535i	0.914098	+	0.405492i	$0.132900\pi$
$907$	−2.37649	+	15.7670i	−0.0789102	+	0.523535i	−0.993009	+	0.118042i	$0.962338\pi$
$908$	22.7723	−	11.7497i	0.755726	−	0.389929i
$909$	−21.6331	−	4.93762i	−0.717525	−	0.163770i
$910$	26.5603	+	38.8389i	0.880467	+	1.28750i
$911$	25.3209	−	5.77932i	0.838917	−	0.191477i	0.218586	−	0.975818i	$-0.429855\pi$
$911$	25.3209	−	5.77932i	0.838917	−	0.191477i	0.620331	+	0.784340i	$0.286998\pi$
$912$	5.31504	−	1.96595i	0.175998	−	0.0650990i
$913$	−13.3179	+	7.68909i	−0.440758	+	0.254472i
$914$	10.4315	+	2.23028i	0.345045	+	0.0737710i
$915$	−5.28106	+	3.60057i	−0.174586	+	0.119031i
$916$	19.8939	−	12.2282i	0.657314	−	0.404032i
$917$	10.5199	+	1.71883i	0.347399	+	0.0567607i
$918$	−6.99362	−	2.05222i	−0.230824	−	0.0677334i
$919$	0.837001	−	2.71349i	0.0276101	−	0.0895098i	−0.940719	−	0.339187i	$-0.889848\pi$
$919$	0.837001	−	2.71349i	0.0276101	−	0.0895098i	0.968329	+	0.249677i	$0.0803244\pi$
$920$	−6.53534	+	60.1138i	−0.215464	+	1.98189i
$921$	0.633141	+	8.44868i	0.0208627	+	0.278393i
$922$	2.31439	+	1.53167i	0.0762204	+	0.0504430i
$923$	19.7041	−	9.48900i	0.648569	−	0.312334i
$924$	1.70854	+	0.362765i	0.0562070	+	0.0119341i
$925$	−17.7326	−	8.53958i	−0.583045	−	0.280780i
$926$	−6.12551	−	10.2802i	−0.201297	−	0.337827i
$927$	11.1388	−	3.43587i	0.365846	−	0.112849i
$928$	20.2634	−	25.1016i	0.665179	−	0.823999i
$929$	3.29937	+	21.8899i	0.108249	+	0.718185i	0.975449	+	0.220225i	$0.0706791\pi$
$929$	3.29937	+	21.8899i	0.108249	+	0.718185i	−0.867200	+	0.497960i	$0.834083\pi$
$930$	7.97018	−	5.59627i	0.261353	−	0.183509i
$931$	−27.1807	−	13.9272i	−0.890810	−	0.456445i
$932$	−12.9769	+	35.9448i	−0.425071	+	1.17741i
$933$	−2.05465	+	0.309689i	−0.0672663	+	0.0101388i
$934$	0.0942906	+	6.84731i	0.00308528	+	0.224051i
$935$	−2.91332	−	9.44474i	−0.0952756	−	0.308876i
$936$	−27.9923	+	5.40985i	−0.914956	+	0.176826i
$937$	16.0785	−	33.3874i	0.525262	−	1.09072i	−0.454536	−	0.890728i	$-0.650195\pi$
$937$	16.0785	−	33.3874i	0.525262	−	1.09072i	0.979798	−	0.199990i	$-0.0640908\pi$
$938$	−26.1858	−	45.2075i	−0.854996	−	1.47608i
$939$	−0.336348	−	0.698433i	−0.0109763	−	0.0227925i
$940$	0.355381	+	12.9013i	0.0115912	+	0.420793i
$941$	−41.4133	+	3.10349i	−1.35003	+	0.101171i	−0.730023	−	0.683422i	$-0.760491\pi$
$941$	−41.4133	+	3.10349i	−1.35003	+	0.101171i	−0.620011	+	0.784593i	$0.712872\pi$
$942$	1.56962	+	6.46529i	0.0511411	+	0.210650i
$943$	−26.2277	−	8.09019i	−0.854093	−	0.263453i
$944$	1.09920	−	55.7289i	0.0357759	−	1.81382i
$945$	−15.9490	+	8.94722i	−0.518820	+	0.291053i
$946$	3.74850	+	0.229056i	0.121874	+	0.00744727i
$947$	11.2977	+	16.5707i	0.367126	+	0.538475i	0.964704	−	0.263336i	$-0.0848227\pi$
$947$	11.2977	+	16.5707i	0.367126	+	0.538475i	−0.597578	+	0.801811i	$0.703870\pi$
$948$	−6.05456	+	2.57081i	−0.196643	+	0.0834961i
$949$	4.57140	+	7.91789i	0.148394	+	0.257026i
$950$	−49.4154	+	4.38817i	−1.60325	+	0.142371i
$951$	−0.0878408	−	0.384856i	−0.00284843	−	0.0124798i
$952$	−13.0137	−	15.3831i	−0.421775	−	0.498570i
$953$	−1.96566	+	8.61212i	−0.0636740	+	0.278974i	−0.996735	−	0.0807447i	$-0.974270\pi$
$953$	−1.96566	+	8.61212i	−0.0636740	+	0.278974i	0.933061	+	0.359719i	$0.117127\pi$
$954$	4.37875	−	32.0385i	0.141767	−	1.03728i
$955$	15.3007	+	2.30621i	0.495119	+	0.0746272i
$956$	−14.7104	−	7.96120i	−0.475767	−	0.257484i
$957$	−1.28035	+	1.37989i	−0.0413878	+	0.0446054i
$958$	8.67714	−	3.54417i	0.280346	−	0.114507i
$959$	−32.4287	+	39.6492i	−1.04718	+	1.28034i
$960$	6.82649	−	6.43410i	0.220324	−	0.207660i
$961$	−1.74431	+	3.02123i	−0.0562680	+	0.0974590i
$962$	10.9326	+	5.08063i	0.352481	+	0.163806i
$963$	24.8660	+	26.7992i	0.801296	+	0.863592i
$964$	−9.33670	+	2.40334i	−0.300715	+	0.0774064i
$965$	19.6949	+	15.7061i	0.634000	+	0.505598i
$966$	−1.61049	−	7.01035i	−0.0518166	−	0.225554i
$967$	−44.5510	+	35.5282i	−1.43266	+	1.14251i	−0.466517	+	0.884512i	$0.654491\pi$
$967$	−44.5510	+	35.5282i	−1.43266	+	1.14251i	−0.966145	+	0.257998i	$0.916937\pi$
$968$	28.1742	+	0.943937i	0.905554	+	0.0303393i
$969$	3.55098	+	1.39366i	0.114074	+	0.0447707i
$970$	−54.7599	+	44.9169i	−1.75824	+	1.44220i
$971$	9.88871	+	25.1960i	0.317344	+	0.808579i	0.997168	+	0.0752041i	$0.0239608\pi$
$971$	9.88871	+	25.1960i	0.317344	+	0.808579i	−0.679824	+	0.733375i	$0.737944\pi$
$972$	−1.70815	−	16.6327i	−0.0547888	−	0.533496i
$973$	47.3949	+	15.2633i	1.51941	+	0.489318i
$974$	48.7901	−	8.04247i	1.56333	−	0.257697i
$975$	−9.06631	−	0.679426i	−0.290354	−	0.0217590i
$976$	8.36444	−	20.1353i	0.267739	−	0.644517i
$977$	12.8117	+	8.73487i	0.409883	+	0.279453i	0.750657	−	0.660692i	$-0.229737\pi$
$977$	12.8117	+	8.73487i	0.409883	+	0.279453i	−0.340775	+	0.940145i	$0.610689\pi$
$978$	0.868067	−	0.827981i	0.0277577	−	0.0264759i
$979$	−3.90047			−0.124660
$980$	−50.4248	−	3.63557i	−1.61076	−	0.116134i
$981$	−36.3941			−1.16198
$982$	2.98941	−	2.85136i	0.0953959	−	0.0909907i
$983$	−9.92799	−	6.76879i	−0.316654	−	0.215891i	0.394554	−	0.918873i	$-0.370899\pi$
$983$	−9.92799	−	6.76879i	−0.316654	−	0.215891i	−0.711208	+	0.702982i	$0.751851\pi$
$984$	2.27949	+	3.59650i	0.0726674	+	0.114652i
$985$	−24.9381	−	1.86885i	−0.794593	−	0.0595465i
$986$	21.4263	−	3.53187i	0.682352	−	0.112478i
$987$	−0.543189	−	1.43595i	−0.0172899	−	0.0457067i
$988$	30.2281	−	3.10436i	0.961685	−	0.0987629i
$989$	−5.65030	−	14.3967i	−0.179669	−	0.457790i
$990$	11.6180	−	9.52972i	0.369246	−	0.302874i
$991$	45.9825	+	18.0468i	1.46068	+	0.573275i	0.956864	−	0.290535i	$-0.0938334\pi$
$991$	45.9825	+	18.0468i	1.46068	+	0.573275i	0.503817	+	0.863810i	$0.331929\pi$
$992$	−12.3208	+	30.8518i	−0.391187	+	0.979545i
$993$	4.97927	−	3.97083i	0.158012	−	0.126011i
$994$	−5.19651	+	22.9166i	−0.164823	+	0.726869i
$995$	15.4140	+	12.2923i	0.488658	+	0.389691i
$996$	−2.44914	−	9.51463i	−0.0776041	−	0.301483i
$997$	−6.97647	−	7.51885i	−0.220947	−	0.238124i	0.612845	−	0.790203i	$-0.290025\pi$
$997$	−6.97647	−	7.51885i	−0.220947	−	0.238124i	−0.833792	+	0.552079i	$0.813835\pi$
$998$	8.25757	+	3.83748i	0.261389	+	0.121473i
$999$	−2.34273	+	4.05773i	−0.0741207	+	0.128381i

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Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	196.2.p.a.103.21	yes	312
4.3	odd	2	inner	196.2.p.a.103.18	yes	312
49.10	odd	42	inner	196.2.p.a.59.18	✓	312
196.59	even	42	inner	196.2.p.a.59.21	yes	312

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
196.2.p.a.59.18	✓	312	49.10	odd	42	inner
196.2.p.a.59.21	yes	312	196.59	even	42	inner
196.2.p.a.103.18	yes	312	4.3	odd	2	inner
196.2.p.a.103.21	yes	312	1.1	even	1	trivial

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Hilbert	Bianchi

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

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Newspace parameters

Newform invariants

Embedding invariants

$q$ -expansion

Character values

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Twists

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	196.2.p.a.103.21

Level	$196$
Weight	$2$
Character	196.103
Analytic conductor	$1.565$
Analytic rank	$0$
Dimension	$312$
Inner twists	$4$