LMFDB - Embedded newform 950.2.n.b.39.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("950.39");

S:= CuspForms(chi, 2);

N := Newforms(S);

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

Newform invariants

comment: select newform

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

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

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

Embedding invariants

Embedding label			39.4
Character	$\chi$	$=$	950.39
Dual form			950.2.n.b.609.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.587785 - 0.809017i) q^{2} +(-2.06198 - 0.669976i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.16827 + 0.546445i) q^{5} +(0.669976 + 2.06198i) q^{6} +0.754312i q^{7} +(0.951057 - 0.309017i) q^{8} +(1.37582 + 0.999595i) q^{9} +O(q^{10})$	\(q+(-0.587785 - 0.809017i) q^{2} +(-2.06198 - 0.669976i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.16827 + 0.546445i) q^{5} +(0.669976 + 2.06198i) q^{6} +0.754312i q^{7} +(0.951057 - 0.309017i) q^{8} +(1.37582 + 0.999595i) q^{9} +(-0.832394 - 2.07536i) q^{10} +(3.40211 - 2.47178i) q^{11} +(1.27437 - 1.75402i) q^{12} +(-1.74576 + 2.40283i) q^{13} +(0.610251 - 0.443374i) q^{14} +(-4.10482 - 2.57945i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-3.49454 + 1.13545i) q^{17} -1.70061i q^{18} +(-0.309017 - 0.951057i) q^{19} +(-1.18973 + 1.89329i) q^{20} +(0.505371 - 1.55537i) q^{21} +(-3.99942 - 1.29949i) q^{22} +(3.86939 + 5.32576i) q^{23} -2.16809 q^{24} +(4.40280 + 2.36968i) q^{25} +2.97007 q^{26} +(1.65590 + 2.27915i) q^{27} +(-0.717393 - 0.233095i) q^{28} +(-1.63331 + 5.02681i) q^{29} +(0.325933 + 4.83703i) q^{30} +(-1.39321 - 4.28785i) q^{31} +1.00000i q^{32} +(-8.67110 + 2.81741i) q^{33} +(2.97264 + 2.15975i) q^{34} +(-0.412190 + 1.63555i) q^{35} +(-1.37582 + 0.999595i) q^{36} +(-4.33184 + 5.96227i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(5.20956 - 3.78496i) q^{39} +(2.23101 - 0.150332i) q^{40} +(-0.0475586 - 0.0345533i) q^{41} +(-1.55537 + 0.505371i) q^{42} -2.88803i q^{43} +(1.29949 + 3.99942i) q^{44} +(2.43693 + 2.91920i) q^{45} +(2.03426 - 6.26081i) q^{46} +(7.19992 + 2.33940i) q^{47} +(1.27437 + 1.75402i) q^{48} +6.43101 q^{49} +(-0.670784 - 4.95480i) q^{50} +7.96638 q^{51} +(-1.74576 - 2.40283i) q^{52} +(-1.55154 - 0.504127i) q^{53} +(0.870560 - 2.67931i) q^{54} +(8.72739 - 3.50042i) q^{55} +(0.233095 + 0.717393i) q^{56} +2.16809i q^{57} +(5.02681 - 1.63331i) q^{58} +(8.90147 + 6.46730i) q^{59} +(3.72166 - 3.10682i) q^{60} +(7.37967 - 5.36164i) q^{61} +(-2.65003 + 3.64746i) q^{62} +(-0.754006 + 1.03780i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-5.09830 + 4.25603i) q^{65} +(7.37608 + 5.35904i) q^{66} +(0.851900 - 0.276799i) q^{67} -3.67438i q^{68} +(-4.41046 - 13.5740i) q^{69} +(1.56547 - 0.627885i) q^{70} +(2.94623 - 9.06758i) q^{71} +(1.61738 + 0.525518i) q^{72} +(0.821517 + 1.13072i) q^{73} +7.36977 q^{74} +(-7.49082 - 7.83600i) q^{75} +1.00000 q^{76} +(1.86449 + 2.56625i) q^{77} +(-6.12420 - 1.98987i) q^{78} +(-2.70227 + 8.31673i) q^{79} +(-1.43298 - 1.71656i) q^{80} +(-3.46400 - 10.6611i) q^{81} +0.0587856i q^{82} +(5.37953 - 1.74791i) q^{83} +(1.32308 + 0.961274i) q^{84} +(-8.19757 + 0.552377i) q^{85} +(-2.33646 + 1.69754i) q^{86} +(6.73568 - 9.27087i) q^{87} +(2.47178 - 3.40211i) q^{88} +(-4.07547 + 2.96100i) q^{89} +(0.929291 - 3.68739i) q^{90} +(-1.81249 - 1.31685i) q^{91} +(-6.26081 + 2.03426i) q^{92} +9.77485i q^{93} +(-2.33940 - 7.19992i) q^{94} +(-0.150332 - 2.23101i) q^{95} +(0.669976 - 2.06198i) q^{96} +(7.81260 + 2.53847i) q^{97} +(-3.78005 - 5.20280i) q^{98} +7.15148 q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	$ 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) $ 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

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

$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$2$	−0.587785	−	0.809017i	−0.415627	−	0.572061i
$3$	−2.06198	−	0.669976i	−1.19048	−	0.386811i	−0.354231	−	0.935158i	$-0.615257\pi$
$3$	−2.06198	−	0.669976i	−1.19048	−	0.386811i	−0.836251	+	0.548347i	$0.815257\pi$
$4$	−0.309017	+	0.951057i	−0.154508	+	0.475528i
$5$	2.16827	+	0.546445i	0.969680	+	0.244378i
$5$	2.16827	+	0.546445i	0.969680	+	0.244378i
$6$	0.669976	+	2.06198i	0.273517	+	0.841798i
$7$			0.754312i			0.285103i	0.989787	+	0.142552i	$0.0455307\pi$
$7$			0.754312i			0.285103i	−0.989787	+	0.142552i	$0.954469\pi$
$8$	0.951057	−	0.309017i	0.336249	−	0.109254i
$9$	1.37582	+	0.999595i	0.458608	+	0.333198i
$10$	−0.832394	−	2.07536i	−0.263226	−	0.656287i
$11$	3.40211	−	2.47178i	1.02578	−	0.745269i	0.0583165	−	0.998298i	$-0.481427\pi$
$11$	3.40211	−	2.47178i	1.02578	−	0.745269i	0.967459	+	0.253029i	$0.0814268\pi$
$12$	1.27437	−	1.75402i	0.367879	−	0.506342i
$13$	−1.74576	+	2.40283i	−0.484187	+	0.666426i	−0.979303	−	0.202401i	$-0.935126\pi$
$13$	−1.74576	+	2.40283i	−0.484187	+	0.666426i	0.495116	+	0.868827i	$0.335126\pi$
$14$	0.610251	−	0.443374i	0.163097	−	0.118497i
$15$	−4.10482	−	2.57945i	−1.05986	−	0.666010i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	−3.49454	+	1.13545i	−0.847551	+	0.275386i	−0.700420	−	0.713731i	$-0.747004\pi$
$17$	−3.49454	+	1.13545i	−0.847551	+	0.275386i	−0.147131	+	0.989117i	$0.547004\pi$
$18$		−	1.70061i		−	0.400838i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$19$	−0.309017	−	0.951057i	−0.0708934	−	0.218187i
$20$	−1.18973	+	1.89329i	−0.266032	+	0.423352i
$21$	0.505371	−	1.55537i	0.110281	−	0.339410i
$22$	−3.99942	−	1.29949i	−0.852680	−	0.277052i
$23$	3.86939	+	5.32576i	0.806824	+	1.11050i	0.991806	+	0.127756i	$0.0407774\pi$
$23$	3.86939	+	5.32576i	0.806824	+	1.11050i	−0.184982	+	0.982742i	$0.559223\pi$
$24$	−2.16809			−0.442559
$25$	4.40280	+	2.36968i	0.880559	+	0.473937i
$26$	2.97007			0.582478
$27$	1.65590	+	2.27915i	0.318679	+	0.438623i
$28$	−0.717393	−	0.233095i	−0.135575	−	0.0440509i
$29$	−1.63331	+	5.02681i	−0.303298	+	0.933454i	0.677009	+	0.735975i	$0.263276\pi$
$29$	−1.63331	+	5.02681i	−0.303298	+	0.933454i	−0.980307	+	0.197480i	$0.936724\pi$
$30$	0.325933	+	4.83703i	0.0595070	+	0.883116i
$31$	−1.39321	−	4.28785i	−0.250227	−	0.770120i	−0.994733	−	0.102504i	$-0.967315\pi$
$31$	−1.39321	−	4.28785i	−0.250227	−	0.770120i	0.744506	−	0.667616i	$-0.232685\pi$
$32$			1.00000i			0.176777i
$33$	−8.67110	+	2.81741i	−1.50945	+	0.490449i
$34$	2.97264	+	2.15975i	0.509803	+	0.370393i
$35$	−0.412190	+	1.63555i	−0.0696729	+	0.276459i
$36$	−1.37582	+	0.999595i	−0.229304	+	0.166599i
$37$	−4.33184	+	5.96227i	−0.712150	+	0.980191i	0.287598	+	0.957751i	$0.407143\pi$
$37$	−4.33184	+	5.96227i	−0.712150	+	0.980191i	−0.999748	+	0.0224395i	$0.992857\pi$
$38$	−0.587785	+	0.809017i	−0.0953514	+	0.131240i
$39$	5.20956	−	3.78496i	0.834197	−	0.606079i
$40$	2.23101	−	0.150332i	0.352753	−	0.0237696i
$41$	−0.0475586	−	0.0345533i	−0.00742740	−	0.00539632i	0.584065	−	0.811707i	$-0.301461\pi$
$41$	−0.0475586	−	0.0345533i	−0.00742740	−	0.00539632i	−0.591493	+	0.806310i	$0.701461\pi$
$42$	−1.55537	+	0.505371i	−0.239999	+	0.0779805i
$43$		−	2.88803i		−	0.440420i	−0.975452	−	0.220210i	$-0.929326\pi$
$43$		−	2.88803i		−	0.440420i	0.975452	−	0.220210i	$-0.0706743\pi$
$44$	1.29949	+	3.99942i	0.195906	+	0.602936i
$45$	2.43693	+	2.91920i	0.363277	+	0.435169i
$46$	2.03426	−	6.26081i	0.299935	−	0.923106i
$47$	7.19992	+	2.33940i	1.05022	+	0.341236i	0.782753	−	0.622332i	$-0.213815\pi$
$47$	7.19992	+	2.33940i	1.05022	+	0.341236i	0.267463	+	0.963568i	$0.413815\pi$
$48$	1.27437	+	1.75402i	0.183940	+	0.253171i
$49$	6.43101			0.918716
$50$	−0.670784	−	4.95480i	−0.0948632	−	0.700715i
$51$	7.96638			1.11552
$52$	−1.74576	−	2.40283i	−0.242093	−	0.333213i
$53$	−1.55154	−	0.504127i	−0.213121	−	0.0692471i	0.200511	−	0.979691i	$-0.435740\pi$
$53$	−1.55154	−	0.504127i	−0.213121	−	0.0692471i	−0.413632	+	0.910444i	$0.635740\pi$
$54$	0.870560	−	2.67931i	0.118468	−	0.364607i
$55$	8.72739	−	3.50042i	1.17680	−	0.471996i
$56$	0.233095	+	0.717393i	0.0311487	+	0.0958657i
$57$			2.16809i			0.287170i
$58$	5.02681	−	1.63331i	0.660052	−	0.214464i
$59$	8.90147	+	6.46730i	1.15887	+	0.841970i	0.989635	−	0.143605i	$-0.0458695\pi$
$59$	8.90147	+	6.46730i	1.15887	+	0.841970i	0.169237	+	0.985575i	$0.445870\pi$
$60$	3.72166	−	3.10682i	0.480464	−	0.401089i
$61$	7.37967	−	5.36164i	0.944870	−	0.686488i	−0.00471807	−	0.999989i	$-0.501502\pi$
$61$	7.37967	−	5.36164i	0.944870	−	0.686488i	0.949588	+	0.313501i	$0.101502\pi$
$62$	−2.65003	+	3.64746i	−0.336555	+	0.463228i
$63$	−0.754006	+	1.03780i	−0.0949959	+	0.130751i
$64$	0.809017	−	0.587785i	0.101127	−	0.0734732i
$65$	−5.09830	+	4.25603i	−0.632366	+	0.527896i
$66$	7.37608	+	5.35904i	0.907933	+	0.659652i
$67$	0.851900	−	0.276799i	0.104076	−	0.0338164i	−0.256516	−	0.966540i	$-0.582575\pi$
$67$	0.851900	−	0.276799i	0.104076	−	0.0338164i	0.360592	+	0.932724i	$0.382575\pi$
$68$		−	3.67438i		−	0.445584i
$69$	−4.41046	−	13.5740i	−0.530957	−	1.63412i
$70$	1.56547	−	0.627885i	0.187109	−	0.0750466i
$71$	2.94623	−	9.06758i	0.349654	−	1.07612i	−0.609391	−	0.792870i	$-0.708586\pi$
$71$	2.94623	−	9.06758i	0.349654	−	1.07612i	0.959045	−	0.283254i	$-0.0914139\pi$
$72$	1.61738	+	0.525518i	0.190610	+	0.0619329i
$73$	0.821517	+	1.13072i	0.0961513	+	0.132341i	0.854382	−	0.519645i	$-0.173936\pi$
$73$	0.821517	+	1.13072i	0.0961513	+	0.132341i	−0.758231	+	0.651986i	$0.773936\pi$
$74$	7.36977			0.856718
$75$	−7.49082	−	7.83600i	−0.864966	−	0.904823i
$76$	1.00000			0.114708
$77$	1.86449	+	2.56625i	0.212479	+	0.292452i
$78$	−6.12420	−	1.98987i	−0.693429	−	0.225309i
$79$	−2.70227	+	8.31673i	−0.304029	+	0.935705i	0.676009	+	0.736894i	$0.263708\pi$
$79$	−2.70227	+	8.31673i	−0.304029	+	0.935705i	−0.980038	+	0.198812i	$0.936292\pi$
$80$	−1.43298	−	1.71656i	−0.160212	−	0.191917i
$81$	−3.46400	−	10.6611i	−0.384889	−	1.18457i
$82$			0.0587856i			0.00649179i
$83$	5.37953	−	1.74791i	0.590480	−	0.191859i	0.00148995	−	0.999999i	$-0.499526\pi$
$83$	5.37953	−	1.74791i	0.590480	−	0.191859i	0.588990	+	0.808140i	$0.299526\pi$
$84$	1.32308	+	0.961274i	0.144360	+	0.104884i
$85$	−8.19757	+	0.552377i	−0.889152	+	0.0599137i
$86$	−2.33646	+	1.69754i	−0.251947	+	0.183050i
$87$	6.73568	−	9.27087i	0.722141	−	0.993942i
$88$	2.47178	−	3.40211i	0.263492	−	0.362666i
$89$	−4.07547	+	2.96100i	−0.431998	+	0.313865i	−0.782448	−	0.622717i	$-0.786029\pi$
$89$	−4.07547	+	2.96100i	−0.431998	+	0.313865i	0.350449	+	0.936582i	$0.386029\pi$
$90$	0.929291	−	3.68739i	0.0979559	−	0.388685i
$91$	−1.81249	−	1.31685i	−0.190000	−	0.138043i
$92$	−6.26081	+	2.03426i	−0.652734	+	0.212086i
$93$			9.77485i			1.01360i
$94$	−2.33940	−	7.19992i	−0.241290	−	0.742615i
$95$	−0.150332	−	2.23101i	−0.0154237	−	0.228897i
$96$	0.669976	−	2.06198i	0.0683792	−	0.210450i
$97$	7.81260	+	2.53847i	0.793249	+	0.257742i	0.677487	−	0.735535i	$-0.263069\pi$
$97$	7.81260	+	2.53847i	0.793249	+	0.257742i	0.115762	+	0.993277i	$0.463069\pi$
$98$	−3.78005	−	5.20280i	−0.381843	−	0.525562i
$99$	7.15148			0.718751
$100$	−3.61424	+	3.45503i	−0.361424	+	0.345503i
$101$	10.2070			1.01564			0.507819	−	0.861464i	$-0.330452\pi$
$101$	10.2070			1.01564			0.507819	+	0.861464i	$0.330452\pi$
$102$	−4.68252	−	6.44494i	−0.463639	−	0.638144i
$103$	13.0008	+	4.22421i	1.28101	+	0.416224i	0.868934	−	0.494928i	$-0.164805\pi$
$103$	13.0008	+	4.22421i	1.28101	+	0.416224i	0.412072	+	0.911152i	$0.364805\pi$
$104$	−0.917801	+	2.82470i	−0.0899978	+	0.276985i
$105$	1.94571	−	3.09631i	0.189882	−	0.302169i
$106$	0.504127	+	1.55154i	0.0489651	+	0.150699i
$107$		−	14.3373i		−	1.38604i	−0.720917	−	0.693021i	$-0.756279\pi$
$107$		−	14.3373i		−	1.38604i	0.720917	−	0.693021i	$-0.243721\pi$
$108$	−2.67931	+	0.870560i	−0.257816	+	0.0837696i
$109$	7.05105	+	5.12289i	0.675368	+	0.490684i	0.871818	−	0.489830i	$-0.162941\pi$
$109$	7.05105	+	5.12289i	0.675368	+	0.490684i	−0.196450	+	0.980514i	$0.562941\pi$
$110$	−7.96173	−	5.00311i	−0.759121	−	0.477028i
$111$	12.9267	−	9.39182i	1.22695	−	0.891432i
$112$	0.443374	−	0.610251i	0.0418949	−	0.0576633i
$113$	−10.3236	+	14.2093i	−0.971166	+	1.33670i	−0.0297106	+	0.999559i	$0.509459\pi$
$113$	−10.3236	+	14.2093i	−0.971166	+	1.33670i	−0.941456	+	0.337137i	$0.890541\pi$
$114$	1.75402	−	1.27437i	0.164279	−	0.119356i
$115$	5.47965	+	13.6621i	0.510980	+	1.27400i
$116$	−4.27606	−	3.10674i	−0.397022	−	0.288453i
$117$	−4.80372	+	1.56082i	−0.444104	+	0.144298i
$118$		−	11.0028i		−	1.01289i
$119$	−0.856481	−	2.63598i	−0.0785135	−	0.241640i
$120$	−4.70100	−	1.18474i	−0.429141	−	0.108152i
$121$	2.06549	−	6.35691i	0.187771	−	0.577901i
$122$	−8.67532	−	2.81878i	−0.785427	−	0.255201i
$123$	0.0749147	+	0.103111i	0.00675483	+	0.00929723i
$124$	4.50851			0.404876
$125$	8.25155	+	7.54400i	0.738041	+	0.674756i
$126$	1.28279			0.114280
$127$	−1.27733	−	1.75810i	−0.113345	−	0.156006i	0.748575	−	0.663050i	$-0.230738\pi$
$127$	−1.27733	−	1.75810i	−0.113345	−	0.156006i	−0.861920	+	0.507044i	$0.830738\pi$
$128$	−0.951057	−	0.309017i	−0.0840623	−	0.0273135i
$129$	−1.93491	+	5.95504i	−0.170359	+	0.524312i
$130$	6.43990	+	1.62298i	0.564817	+	0.142345i
$131$	4.93600	+	15.1914i	0.431260	+	1.32728i	0.896871	+	0.442293i	$0.145835\pi$
$131$	4.93600	+	15.1914i	0.431260	+	1.32728i	−0.465610	+	0.884990i	$0.654165\pi$
$132$		−	9.11734i		−	0.793562i
$133$	0.717393	−	0.233095i	0.0622059	−	0.0202119i
$134$	−0.724669	−	0.526503i	−0.0626019	−	0.0454829i
$135$	2.34501	+	5.84668i	0.201826	+	0.503202i
$136$	−2.97264	+	2.15975i	−0.254901	+	0.185197i
$137$	0.244372	−	0.336349i	0.0208781	−	0.0287362i	−0.798450	−	0.602061i	$-0.794347\pi$
$137$	0.244372	−	0.336349i	0.0208781	−	0.0287362i	0.819328	+	0.573324i	$0.194347\pi$
$138$	−8.38919	+	11.5467i	−0.714135	+	0.982923i
$139$	−3.98009	+	2.89170i	−0.337587	+	0.245271i	−0.743643	−	0.668577i	$-0.766904\pi$
$139$	−3.98009	+	2.89170i	−0.337587	+	0.245271i	0.406056	+	0.913848i	$0.366904\pi$
$140$	−1.42813	−	0.897430i	−0.120699	−	0.0758467i
$141$	−13.2787	−	9.64756i	−1.11827	−	0.812471i
$142$	−9.06758	+	2.94623i	−0.760934	+	0.247243i
$143$			12.4898i			1.04445i
$144$	−0.525518	−	1.61738i	−0.0437932	−	0.134781i
$145$	−6.28833	+	10.0070i	−0.522217	+	0.831033i
$146$	0.431897	−	1.32924i	0.0357440	−	0.110009i
$147$	−13.2606	−	4.30863i	−1.09372	−	0.355370i
$148$	−4.33184	−	5.96227i	−0.356075	−	0.490095i
$149$	−16.9690			−1.39016			−0.695078	−	0.718934i	$-0.744630\pi$
$149$	−16.9690			−1.39016			−0.695078	+	0.718934i	$0.744630\pi$
$150$	−1.93646	+	10.6661i	−0.158111	+	0.870882i
$151$	7.19636			0.585631			0.292816	−	0.956169i	$-0.405408\pi$
$151$	7.19636			0.585631			0.292816	+	0.956169i	$0.405408\pi$
$152$	−0.587785	−	0.809017i	−0.0476757	−	0.0656199i
$153$	−5.94286	−	1.93095i	−0.480452	−	0.156108i
$154$	0.980222	−	3.01681i	0.0789885	−	0.243102i
$155$	−0.677773	−	10.0585i	−0.0544401	−	0.807920i
$156$	1.98987	+	6.12420i	0.159317	+	0.490329i
$157$			4.70353i			0.375383i	0.982228	+	0.187691i	$0.0601004\pi$
$157$			4.70353i			0.375383i	−0.982228	+	0.187691i	$0.939900\pi$
$158$	8.31673	−	2.70227i	0.661644	−	0.214981i
$159$	2.86149	+	2.07899i	0.226931	+	0.164875i
$160$	−0.546445	+	2.16827i	−0.0432003	+	0.171417i
$161$	−4.01729	+	2.91873i	−0.316607	+	0.230028i
$162$	−6.58893	+	9.06888i	−0.517675	+	0.712519i
$163$	0.329172	−	0.453067i	0.0257828	−	0.0354869i	−0.795931	−	0.605387i	$-0.793018\pi$
$163$	0.329172	−	0.453067i	0.0257828	−	0.0354869i	0.821714	+	0.569900i	$0.193018\pi$
$164$	0.0475586	−	0.0345533i	0.00371370	−	0.00269816i
$165$	−20.3409	+	1.37063i	−1.58353	+	0.106703i
$166$	−4.57610	−	3.32473i	−0.355174	−	0.258049i
$167$	10.1104	−	3.28507i	0.782367	−	0.254206i	0.109517	−	0.993985i	$-0.465070\pi$
$167$	10.1104	−	3.28507i	0.782367	−	0.254206i	0.672850	+	0.739778i	$0.265070\pi$
$168$		−	1.63542i		−	0.126175i
$169$	1.29129	+	3.97419i	0.0993303	+	0.305707i
$170$	5.26530	+	6.30730i	0.403830	+	0.483748i
$171$	0.525518	−	1.61738i	0.0401874	−	0.123684i
$172$	2.74668	+	0.892450i	0.209432	+	0.0680486i
$173$	−10.8658	−	14.9556i	−0.826115	−	1.13705i	−0.988634	−	0.150344i	$-0.951962\pi$
$173$	−10.8658	−	14.9556i	−0.826115	−	1.13705i	0.162519	−	0.986705i	$-0.448038\pi$
$174$	−11.4594			−0.868737
$175$	−1.78748	+	3.32108i	−0.135121	+	0.251050i
$176$	−4.20524			−0.316982
$177$	−14.0217	−	19.2992i	−1.05393	−	1.45062i
$178$	4.79100	+	1.55669i	0.359100	+	0.116679i
$179$	−2.89818	+	8.91968i	−0.216620	+	0.666688i	0.782415	+	0.622758i	$0.213988\pi$
$179$	−2.89818	+	8.91968i	−0.216620	+	0.666688i	−0.999035	+	0.0439299i	$0.986012\pi$
$180$	−3.52938	+	1.41558i	−0.263065	+	0.105511i
$181$	4.64313	+	14.2901i	0.345121	+	1.06217i	0.961519	+	0.274738i	$0.0885912\pi$
$181$	4.64313	+	14.2901i	0.345121	+	1.06217i	−0.616398	+	0.787435i	$0.711409\pi$
$182$			2.24036i			0.166066i
$183$	−18.8089	+	6.11137i	−1.39039	+	0.451766i
$184$	5.32576	+	3.86939i	0.392620	+	0.285255i
$185$	−12.6507	+	10.5607i	−0.930095	+	0.776438i
$186$	7.90802	−	5.74551i	0.579844	−	0.421281i
$187$	−9.08225	+	12.5007i	−0.664160	+	0.914138i
$188$	−4.44980	+	6.12462i	−0.324535	+	0.446684i
$189$	−1.71919	+	1.24907i	−0.125053	+	0.0908563i
$190$	−1.71656	+	1.43298i	−0.124532	+	0.103959i
$191$	−3.62949	−	2.63698i	−0.262621	−	0.190805i	0.448681	−	0.893692i	$-0.351894\pi$
$191$	−3.62949	−	2.63698i	−0.262621	−	0.190805i	−0.711302	+	0.702887i	$0.751894\pi$
$192$	−2.06198	+	0.669976i	−0.148810	+	0.0483514i
$193$		−	21.8167i		−	1.57040i	−0.619242	−	0.785200i	$-0.712560\pi$
$193$		−	21.8167i		−	1.57040i	0.619242	−	0.785200i	$-0.287440\pi$
$194$	−2.53847	−	7.81260i	−0.182251	−	0.560912i
$195$	13.3640	−	5.36009i	0.957016	−	0.383844i
$196$	−1.98729	+	6.11626i	−0.141949	+	0.436875i
$197$	−8.93061	−	2.90173i	−0.636280	−	0.206740i	−0.0269249	−	0.999637i	$-0.508572\pi$
$197$	−8.93061	−	2.90173i	−0.636280	−	0.206740i	−0.609355	+	0.792898i	$0.708572\pi$
$198$	−4.20354	−	5.78567i	−0.298732	−	0.411170i
$199$	6.76187			0.479336			0.239668	−	0.970855i	$-0.422961\pi$
$199$	6.76187			0.479336			0.239668	+	0.970855i	$0.422961\pi$
$200$	4.91958	+	0.893164i	0.347867	+	0.0631562i
$201$	−1.94205			−0.136981
$202$	−5.99954	−	8.25766i	−0.422126	−	0.581007i
$203$	−3.79178	−	1.23202i	−0.266131	−	0.0864711i
$204$	−2.46175	+	7.57648i	−0.172357	+	0.530460i
$205$	−0.0842383	−	0.100909i	−0.00588346	−	0.00704780i
$206$	−4.22421	−	13.0008i	−0.294315	−	0.905808i
$207$			11.1951i			0.778115i
$208$	2.82470	−	0.917801i	0.195858	−	0.0636380i
$209$	−3.40211	−	2.47178i	−0.235329	−	0.170977i
$210$	−3.64863	+	0.245856i	−0.251779	+	0.0169656i
$211$	0.441416	−	0.320707i	0.0303883	−	0.0220784i	−0.572487	−	0.819914i	$-0.694021\pi$
$211$	0.441416	−	0.320707i	0.0303883	−	0.0220784i	0.602876	+	0.797835i	$0.294021\pi$
$212$	0.958906	−	1.31982i	0.0658579	−	0.0906457i
$213$	−12.1501	+	16.7232i	−0.832513	+	1.14586i
$214$	−11.5991	+	8.42728i	−0.792902	+	0.576077i
$215$	1.57815	−	6.26203i	0.107629	−	0.427067i
$216$	2.27915	+	1.65590i	0.155077	+	0.112670i
$217$	3.23437	−	1.05091i	0.219564	−	0.0713405i
$218$		−	8.71558i		−	0.590294i
$219$	−0.936391	−	2.88192i	−0.0632754	−	0.194742i
$220$	0.632183	+	9.38193i	0.0426217	+	0.632530i
$221$	3.37235	−	10.3790i	0.226849	−	0.698168i
$222$	−15.1963	−	4.93757i	−1.01991	−	0.331388i
$223$	−3.38444	−	4.65828i	−0.226639	−	0.311941i	0.680521	−	0.732729i	$-0.261754\pi$
$223$	−3.38444	−	4.65828i	−0.226639	−	0.311941i	−0.907159	+	0.420788i	$0.861754\pi$
$224$	−0.754312			−0.0503996
$225$	3.68875	+	7.66128i	0.245917	+	0.510752i
$226$	17.5636			1.16831
$227$	−13.5005	−	18.5818i	−0.896058	−	1.23332i	−0.971709	−	0.236183i	$-0.924103\pi$
$227$	−13.5005	−	18.5818i	−0.896058	−	1.23332i	0.0756508	−	0.997134i	$-0.475897\pi$
$228$	−2.06198	−	0.669976i	−0.136558	−	0.0443703i
$229$	−6.63823	+	20.4304i	−0.438667	+	1.35008i	0.450616	+	0.892718i	$0.351204\pi$
$229$	−6.63823	+	20.4304i	−0.438667	+	1.35008i	−0.889282	+	0.457359i	$0.848796\pi$
$230$	7.83201	−	12.4635i	0.516428	−	0.821820i
$231$	−2.12521	−	6.54072i	−0.139828	−	0.430348i
$232$			5.28550i			0.347010i
$233$	−8.34169	+	2.71038i	−0.546482	+	0.177563i	−0.569230	−	0.822178i	$-0.692759\pi$
$233$	−8.34169	+	2.71038i	−0.546482	+	0.177563i	0.0227476	+	0.999741i	$0.492759\pi$
$234$	4.08629	+	2.96886i	0.267129	+	0.194081i
$235$	14.3330	+	9.00681i	0.934984	+	0.587539i
$236$	−8.90147	+	6.46730i	−0.579436	+	0.420985i
$237$	11.1440	−	15.3384i	0.723882	−	0.996339i
$238$	−1.62912	+	2.24230i	−0.105600	+	0.145346i
$239$	0.00691646	−	0.00502510i	0.000447389	−	0.000325047i	−0.587562	−	0.809179i	$-0.699912\pi$
$239$	0.00691646	−	0.00502510i	0.000447389	−	0.000325047i	0.588009	+	0.808854i	$0.299912\pi$
$240$	1.80470	+	4.49957i	0.116493	+	0.290446i
$241$	18.2235	+	13.2402i	1.17388	+	0.852874i	0.991468	−	0.130348i	$-0.0416095\pi$
$241$	18.2235	+	13.2402i	1.17388	+	0.852874i	0.182412	+	0.983222i	$0.441610\pi$
$242$	−6.35691	+	2.06549i	−0.408638	+	0.132774i
$243$			15.8522i			1.01692i
$244$	2.81878	+	8.67532i	0.180454	+	0.555381i
$245$	13.9442	+	3.51420i	0.890861	+	0.224514i
$246$	0.0393850	−	0.121215i	0.00251109	−	0.00772836i
$247$	2.82470	+	0.917801i	0.179731	+	0.0583983i
$248$	−2.65003	−	3.64746i	−0.168277	−	0.231614i
$249$	−12.2635			−0.777169
$250$	1.25309	−	11.1099i	0.0792521	−	0.702651i
$251$	−23.0471			−1.45472			−0.727360	−	0.686256i	$-0.759253\pi$
$251$	−23.0471			−1.45472			−0.727360	+	0.686256i	$0.759253\pi$
$252$	−0.754006	−	1.03780i	−0.0474979	−	0.0653753i
$253$	26.3282	+	8.55455i	1.65524	+	0.537820i
$254$	−0.671534	+	2.06677i	−0.0421358	+	0.129681i
$255$	17.2733	+	4.35319i	1.08169	+	0.272608i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$			21.3180i			1.32978i	0.746942	+	0.664889i	$0.231521\pi$
$257$			21.3180i			1.32978i	−0.746942	+	0.664889i	$0.768479\pi$
$258$	5.95504	−	1.93491i	0.370745	−	0.120462i
$259$	−4.49741	−	3.26756i	−0.279456	−	0.203036i
$260$	−2.47226	−	6.16396i	−0.153323	−	0.382272i
$261$	−7.27191	+	5.28335i	−0.450120	+	0.327031i
$262$	9.38883	−	12.9226i	0.580044	−	0.798362i
$263$	−5.93659	+	8.17102i	−0.366066	+	0.503846i	−0.951826	−	0.306638i	$-0.900796\pi$
$263$	−5.93659	+	8.17102i	−0.366066	+	0.503846i	0.585760	+	0.810484i	$0.300796\pi$
$264$	−7.37608	+	5.35904i	−0.453966	+	0.329826i
$265$	−3.08869	−	1.94092i	−0.189736	−	0.119230i
$266$	−0.610251	−	0.443374i	−0.0374169	−	0.0271850i
$267$	10.3873	−	3.37504i	0.635693	−	0.206549i
$268$			0.895740i			0.0547160i
$269$	−6.36525	−	19.5902i	−0.388096	−	1.19444i	−0.934209	−	0.356726i	$-0.883893\pi$
$269$	−6.36525	−	19.5902i	−0.388096	−	1.19444i	0.546113	−	0.837711i	$-0.316107\pi$
$270$	3.35170	−	5.33375i	0.203978	−	0.324602i
$271$	7.35430	−	22.6342i	0.446742	−	1.37493i	−0.433820	−	0.901000i	$-0.642835\pi$
$271$	7.35430	−	22.6342i	0.446742	−	1.37493i	0.880562	−	0.473931i	$-0.157165\pi$
$272$	3.49454	+	1.13545i	0.211888	+	0.0688465i
$273$	2.85504	+	3.92963i	0.172795	+	0.237832i
$274$	−0.415750			−0.0251164
$275$	20.8361	−	2.82081i	1.25647	−	0.170101i
$276$	14.2725			0.859106
$277$	−11.6520	−	16.0376i	−0.700102	−	0.963608i	−0.999954	−	0.00962212i	$-0.996937\pi$
$277$	−11.6520	−	16.0376i	−0.700102	−	0.963608i	0.299852	−	0.953986i	$-0.403063\pi$
$278$	4.67888	+	1.52026i	0.280620	+	0.0911791i
$279$	2.36930	−	7.29196i	0.141846	−	0.436558i
$280$	0.113397	+	1.68288i	0.00677679	+	0.100571i
$281$	−0.0988250	−	0.304152i	−0.00589541	−	0.0181442i	0.948066	−	0.318075i	$-0.103036\pi$
$281$	−0.0988250	−	0.304152i	−0.00589541	−	0.0181442i	−0.953961	+	0.299931i	$0.903036\pi$
$282$			16.4134i			0.977404i
$283$	−9.34039	+	3.03488i	−0.555228	+	0.180405i	−0.573173	−	0.819434i	$-0.694288\pi$
$283$	−9.34039	+	3.03488i	−0.555228	+	0.180405i	0.0179446	+	0.999839i	$0.494288\pi$
$284$	7.71334	+	5.60407i	0.457703	+	0.332540i
$285$	−1.18474	+	4.70100i	−0.0701781	+	0.278463i
$286$	10.1045	−	7.34134i	0.597491	−	0.434103i
$287$	0.0260640	−	0.0358740i	0.00153851	−	0.00211758i
$288$	−0.999595	+	1.37582i	−0.0589017	+	0.0810712i
$289$	−2.83069	+	2.05662i	−0.166511	+	0.120978i
$290$	11.7920	−	0.794580i	0.692449	−	0.0466593i
$291$	−14.4087	−	10.4685i	−0.844651	−	0.613675i
$292$	−1.32924	+	0.431897i	−0.0777880	+	0.0252749i
$293$			8.85152i			0.517111i	0.965996	+	0.258556i	$0.0832466\pi$
$293$			8.85152i			0.517111i	−0.965996	+	0.258556i	$0.916753\pi$
$294$	4.30863	+	13.2606i	0.251284	+	0.773373i
$295$	15.7668	+	18.8870i	0.917977	+	1.09964i
$296$	−2.27738	+	7.00907i	−0.132370	+	0.407394i
$297$	11.2671	+	3.66091i	0.653785	+	0.212428i
$298$	9.97414	+	13.7282i	0.577786	+	0.795255i
$299$	−19.5519			−1.13072
$300$	9.76727	−	4.70274i	0.563913	−	0.271513i
$301$	2.17847			0.125565
$302$	−4.22991	−	5.82198i	−0.243404	−	0.335017i
$303$	−21.0467	−	6.83847i	−1.20910	−	0.392860i
$304$	−0.309017	+	0.951057i	−0.0177233	+	0.0545468i
$305$	18.9310	−	7.59291i	1.08398	−	0.434769i
$306$	1.93095	+	5.94286i	0.110385	+	0.339731i
$307$		−	33.5158i		−	1.91285i	−0.291986	−	0.956423i	$-0.594316\pi$
$307$		−	33.5158i		−	1.91285i	0.291986	−	0.956423i	$-0.405684\pi$
$308$	−3.01681	+	0.980222i	−0.171899	+	0.0558533i
$309$	−23.9772	−	17.4204i	−1.36401	−	0.991015i
$310$	−7.73913	+	6.46058i	−0.439553	+	0.366936i
$311$	−18.6818	+	13.5731i	−1.05934	+	0.769659i	−0.973967	−	0.226690i	$-0.927210\pi$
$311$	−18.6818	+	13.5731i	−1.05934	+	0.769659i	−0.0853778	+	0.996349i	$0.527210\pi$
$312$	3.78496	−	5.20956i	0.214281	−	0.294933i
$313$	2.83101	−	3.89655i	0.160018	−	0.220246i	−0.721478	−	0.692437i	$-0.756537\pi$
$313$	2.83101	−	3.89655i	0.160018	−	0.220246i	0.881496	+	0.472191i	$0.156537\pi$
$314$	3.80524	−	2.76467i	0.214742	−	0.156019i
$315$	−2.20199	+	1.83821i	−0.124068	+	0.103571i
$316$	−7.07463	−	5.14002i	−0.397979	−	0.289149i
$317$	12.7304	−	4.13637i	0.715012	−	0.232321i	0.0711528	−	0.997465i	$-0.477332\pi$
$317$	12.7304	−	4.13637i	0.715012	−	0.232321i	0.643859	+	0.765144i	$0.277332\pi$
$318$		−	3.53700i		−	0.198345i
$319$	6.86845	+	21.1389i	0.384560	+	1.18355i
$320$	2.07536	−	0.832394i	0.116016	−	0.0465322i
$321$	−9.60568	+	29.5632i	−0.536137	+	1.65006i
$322$	4.72260	+	1.53447i	0.263180	+	0.0855125i
$323$	2.15975	+	2.97264i	0.120172	+	0.165402i
$324$	11.2098			0.622764
$325$	−13.3802	+	6.44228i	−0.742199	+	0.357354i
$326$	−0.560021			−0.0310167
$327$	−11.1069	−	15.2873i	−0.614212	−	0.845390i
$328$	−0.0559084	−	0.0181658i	−0.00308703	−	0.00100304i
$329$	−1.76464	+	5.43099i	−0.0972875	+	0.299420i
$330$	13.0649	+	15.6505i	0.719200	+	0.861530i
$331$	−8.89609	−	27.3794i	−0.488974	−	1.50491i	−0.826142	−	0.563462i	$-0.809469\pi$
$331$	−8.89609	−	27.3794i	−0.488974	−	1.50491i	0.337169	−	0.941444i	$-0.390531\pi$
$332$			5.65637i			0.310434i
$333$	−11.9197	+	3.87295i	−0.653196	+	0.212236i
$334$	−8.60043	−	6.24858i	−0.470595	−	0.341907i
$335$	1.99840	−	0.134659i	0.109185	−	0.00735718i
$336$	−1.32308	+	0.961274i	−0.0721799	+	0.0524418i
$337$	9.90517	−	13.6333i	0.539569	−	0.742653i	−0.448982	−	0.893541i	$-0.648213\pi$
$337$	9.90517	−	13.6333i	0.539569	−	0.742653i	0.988551	+	0.150888i	$0.0482133\pi$
$338$	2.45619	−	3.38065i	0.133599	−	0.183883i
$339$	30.8070	−	22.3826i	1.67320	−	1.21565i
$340$	2.00785	−	7.96705i	0.108891	−	0.432074i
$341$	−15.3384	−	11.1440i	−0.830623	−	0.603483i
$342$	−1.61738	+	0.525518i	−0.0874578	+	0.0284168i
$343$			10.1312i			0.547032i
$344$	−0.892450	−	2.74668i	−0.0481177	−	0.148091i
$345$	−2.14562	−	31.8422i	−0.115516	−	1.71432i
$346$	−5.71251	+	17.5813i	−0.307107	+	0.945177i
$347$	−27.8253	−	9.04100i	−1.49374	−	0.485346i	−0.555557	−	0.831479i	$-0.687495\pi$
$347$	−27.8253	−	9.04100i	−1.49374	−	0.485346i	−0.938186	+	0.346132i	$0.887495\pi$
$348$	6.73568	+	9.27087i	0.361071	+	0.496971i
$349$	27.3828			1.46577			0.732884	−	0.680353i	$-0.238174\pi$
$349$	27.3828			1.46577			0.732884	+	0.680353i	$0.238174\pi$
$350$	3.73747	−	0.505981i	0.199776	−	0.0270458i
$351$	−8.36724			−0.446610
$352$	2.47178	+	3.40211i	0.131746	+	0.181333i
$353$	20.6484	+	6.70906i	1.09900	+	0.357087i	0.801719	−	0.597702i	$-0.203919\pi$
$353$	20.6484	+	6.70906i	1.09900	+	0.357087i	0.297284	+	0.954789i	$0.403919\pi$
$354$	−7.37163	+	22.6875i	−0.391798	+	1.20583i
$355$	11.3432	−	18.0510i	0.602033	−	0.958048i
$356$	−1.55669	−	4.79100i	−0.0825044	−	0.253922i
$357$			6.00914i			0.318037i
$358$	8.91968	−	2.89818i	0.471419	−	0.153173i
$359$	−1.68323	−	1.22294i	−0.0888373	−	0.0645441i	0.542480	−	0.840069i	$-0.317485\pi$
$359$	−1.68323	−	1.22294i	−0.0888373	−	0.0645441i	−0.631317	+	0.775525i	$0.717485\pi$
$360$	3.21975	+	2.02327i	0.169696	+	0.106636i
$361$	−0.809017	+	0.587785i	−0.0425798	+	0.0309361i
$362$	8.83175	−	12.1559i	0.464187	−	0.638898i
$363$	−8.51796	+	11.7240i	−0.447077	+	0.615349i
$364$	1.81249	−	1.31685i	0.0950001	−	0.0690216i
$365$	1.16339	+	2.90062i	0.0608948	+	0.151826i
$366$	15.9998	+	11.6245i	0.836322	+	0.607624i
$367$	18.7892	−	6.10499i	0.980790	−	0.318678i	0.225626	−	0.974214i	$-0.427557\pi$
$367$	18.7892	−	6.10499i	0.980790	−	0.318678i	0.755164	+	0.655536i	$0.227557\pi$
$368$		−	6.58300i		−	0.343163i
$369$	−0.0308929	−	0.0950786i	−0.00160822	−	0.00494959i
$370$	15.9797	+	4.02717i	0.830742	+	0.209363i
$371$	0.380269	−	1.17035i	0.0197426	−	0.0607614i
$372$	−9.29643	−	3.02059i	−0.481998	−	0.156611i
$373$	9.43790	+	12.9901i	0.488676	+	0.672604i	0.980143	−	0.198292i	$-0.0635393\pi$
$373$	9.43790	+	12.9901i	0.488676	+	0.672604i	−0.491467	+	0.870896i	$0.663539\pi$
$374$	15.4517			0.798986
$375$	−11.9602	−	21.0839i	−0.617622	−	1.08877i
$376$	7.57045			0.390416
$377$	−9.22721	−	12.7002i	−0.475225	−	0.654092i
$378$	2.02103	+	0.656674i	0.103951	+	0.0337756i
$379$	8.24546	−	25.3769i	0.423541	−	1.30353i	−0.480843	−	0.876806i	$-0.659669\pi$
$379$	8.24546	−	25.3769i	0.423541	−	1.30353i	0.904384	−	0.426719i	$-0.140331\pi$
$380$	2.16827	+	0.546445i	0.111230	+	0.0280321i
$381$	1.45595	+	4.48094i	0.0745904	+	0.229566i
$382$			4.48630i			0.229539i
$383$	−32.2200	+	10.4689i	−1.64637	+	0.534937i	−0.977948	−	0.208847i	$-0.933029\pi$
$383$	−32.2200	+	10.4689i	−1.64637	+	0.534937i	−0.668419	+	0.743785i	$0.733029\pi$
$384$	1.75402	+	1.27437i	0.0895095	+	0.0650325i
$385$	2.64041	+	6.58318i	0.134568	+	0.335510i
$386$	−17.6501	+	12.8235i	−0.898365	+	0.652701i
$387$	2.88686	−	3.97342i	0.146747	−	0.201980i
$388$	−4.82845	+	6.64579i	−0.245127	+	0.337389i
$389$	21.2041	−	15.4057i	1.07509	−	0.781099i	0.0982701	−	0.995160i	$-0.468669\pi$
$389$	21.2041	−	15.4057i	1.07509	−	0.781099i	0.976820	+	0.214061i	$0.0686691\pi$
$390$	−12.1916	−	7.66113i	−0.617344	−	0.387936i
$391$	−19.5689	−	14.2176i	−0.989640	−	0.719016i
$392$	6.11626	−	1.98729i	0.308918	−	0.100373i
$393$		−	34.6314i		−	1.74692i
$394$	2.90173	+	8.93061i	0.146187	+	0.449918i
$395$	−10.4039	+	16.5563i	−0.523477	+	0.833037i
$396$	−2.20993	+	6.80146i	−0.111053	+	0.341786i
$397$	26.8374	+	8.72001i	1.34693	+	0.437645i	0.891659	−	0.452707i	$-0.149542\pi$
$397$	26.8374	+	8.72001i	1.34693	+	0.437645i	0.455273	+	0.890352i	$0.349542\pi$
$398$	−3.97453	−	5.47046i	−0.199225	−	0.274210i
$399$	−1.63542			−0.0818732
$400$	−2.16907	−	4.50501i	−0.108454	−	0.225251i
$401$	−29.0155			−1.44896			−0.724482	−	0.689293i	$-0.757921\pi$
$401$	−29.0155			−1.44896			−0.724482	+	0.689293i	$0.757921\pi$
$402$	1.14151	+	1.57115i	0.0569331	+	0.0783617i
$403$	12.7352	+	4.13791i	0.634385	+	0.206124i
$404$	−3.15415	+	9.70746i	−0.156925	+	0.482964i
$405$	−1.68519	−	25.0091i	−0.0837376	−	1.24271i
$406$	1.23202	+	3.79178i	0.0611443	+	0.188183i
$407$			30.9916i			1.53620i
$408$	7.57648	−	2.46175i	0.375092	−	0.121875i
$409$	−16.9947	−	12.3473i	−0.840331	−	0.610537i	0.0821318	−	0.996621i	$-0.473827\pi$
$409$	−16.9947	−	12.3473i	−0.840331	−	0.610537i	−0.922463	+	0.386085i	$0.873827\pi$
$410$	−0.0321231	+	0.127463i	−0.00158645	+	0.00629496i
$411$	−0.729234	+	0.529819i	−0.0359704	+	0.0261341i
$412$	−8.03493	+	11.0591i	−0.395853	+	0.544844i
$413$	−4.87836	+	6.71449i	−0.240048	+	0.330398i
$414$	9.05705	−	6.58033i	0.445130	−	0.323406i
$415$	12.6194	−	0.850334i	0.619463	−	0.0417413i
$416$	−2.40283	−	1.74576i	−0.117809	−	0.0855929i
$417$	10.1442	−	3.29606i	0.496765	−	0.161409i
$418$			4.20524i			0.205685i
$419$	8.97594	+	27.6251i	0.438503	+	1.34957i	0.889454	+	0.457026i	$0.151085\pi$
$419$	8.97594	+	27.6251i	0.438503	+	1.34957i	−0.450950	+	0.892549i	$0.648915\pi$
$420$	2.34351	+	2.80729i	0.114352	+	0.136982i
$421$	−0.153468	+	0.472326i	−0.00747957	+	0.0230197i	−0.954727	−	0.297484i	$-0.903852\pi$
$421$	−0.153468	+	0.472326i	−0.00747957	+	0.0230197i	0.947247	+	0.320504i	$0.103852\pi$
$422$	−0.518915	−	0.168606i	−0.0252604	−	0.00820760i
$423$	7.56738	+	10.4156i	0.367938	+	0.506424i
$424$	−1.63139			−0.0792272
$425$	−18.0764	−	3.28182i	−0.876834	−	0.159192i
$426$	20.6710			1.00151
$427$	4.04435	+	5.56657i	0.195720	+	0.269385i
$428$	13.6356	+	4.43048i	0.659102	+	0.214155i
$429$	8.36790	−	25.7537i	0.404006	−	1.24340i
$430$	−5.99370	+	2.40398i	−0.289042	+	0.115930i
$431$	2.11955	+	6.52330i	0.102095	+	0.314216i	0.989038	−	0.147663i	$-0.0471752\pi$
$431$	2.11955	+	6.52330i	0.102095	+	0.314216i	−0.886943	+	0.461880i	$0.847175\pi$
$432$		−	2.81719i		−	0.135542i
$433$	−27.2144	+	8.84250i	−1.30784	+	0.424943i	−0.878302	−	0.478105i	$-0.841324\pi$
$433$	−27.2144	+	8.84250i	−1.30784	+	0.424943i	−0.429538	+	0.903049i	$0.641324\pi$
$434$	−2.75132	−	1.99895i	−0.132068	−	0.0959528i
$435$	19.6708	−	16.4211i	0.943143	−	0.787330i
$436$	−7.05105	+	5.12289i	−0.337684	+	0.245342i
$437$	3.86939	−	5.32576i	0.185098	−	0.254766i
$438$	−1.78112	+	2.45150i	−0.0851053	+	0.117137i
$439$	0.917935	−	0.666919i	0.0438106	−	0.0318303i	−0.565664	−	0.824636i	$-0.691380\pi$
$439$	0.917935	−	0.666919i	0.0438106	−	0.0318303i	0.609475	+	0.792805i	$0.291380\pi$
$440$	7.21855	−	6.02601i	0.344131	−	0.287279i
$441$	8.84794	+	6.42841i	0.421331	+	0.306115i
$442$	−10.3790	+	3.37235i	−0.493680	+	0.160406i
$443$		−	35.5547i		−	1.68925i	−0.535356	−	0.844627i	$-0.679822\pi$
$443$		−	35.5547i		−	1.68925i	0.535356	−	0.844627i	$-0.320178\pi$
$444$	4.93757	+	15.1963i	0.234327	+	0.721184i
$445$	−10.4547	+	4.19323i	−0.495602	+	0.198778i
$446$	−1.77930	+	5.47613i	−0.0842525	+	0.259302i
$447$	34.9897	+	11.3688i	1.65496	+	0.537728i
$448$	0.443374	+	0.610251i	0.0209474	+	0.0288317i
$449$	−6.25503			−0.295193			−0.147596	−	0.989048i	$-0.547154\pi$
$449$	−6.25503			−0.295193			−0.147596	+	0.989048i	$0.547154\pi$
$450$	4.02991	−	7.48745i	0.189972	−	0.352962i
$451$	−0.247208			−0.0116406
$452$	−10.3236	−	14.2093i	−0.485583	−	0.668348i
$453$	−14.8387	−	4.82139i	−0.697184	−	0.226529i
$454$	−7.09762	+	21.8442i	−0.333108	+	1.02520i
$455$	−3.21038	−	3.84571i	−0.150505	−	0.180290i
$456$	0.669976	+	2.06198i	0.0313745	+	0.0965609i
$457$			19.3755i			0.906350i	0.891422	+	0.453175i	$0.149709\pi$
$457$			19.3755i			0.906350i	−0.891422	+	0.453175i	$0.850291\pi$
$458$	20.4304	−	6.63823i	0.954648	−	0.310184i
$459$	−8.37448	−	6.08442i	−0.390887	−	0.283996i
$460$	−14.6867	+	0.989637i	−0.684773	+	0.0461420i
$461$	20.7922	−	15.1064i	0.968388	−	0.703575i	0.0133040	−	0.999911i	$-0.495765\pi$
$461$	20.7922	−	15.1064i	0.968388	−	0.703575i	0.955084	+	0.296337i	$0.0957651\pi$
$462$	−4.04239	+	5.56387i	−0.188069	+	0.258855i
$463$	−9.69307	+	13.3414i	−0.450475	+	0.620026i	−0.972500	−	0.232905i	$-0.925177\pi$
$463$	−9.69307	+	13.3414i	−0.450475	+	0.620026i	0.522024	+	0.852931i	$0.325177\pi$
$464$	4.27606	−	3.10674i	0.198511	−	0.144227i
$465$	−5.34142	+	21.1945i	−0.247702	+	0.982872i
$466$	7.09587	+	5.15545i	0.328710	+	0.238822i
$467$	−33.6802	+	10.9434i	−1.55853	+	0.506398i	−0.956416	−	0.292009i	$-0.905676\pi$
$467$	−33.6802	+	10.9434i	−1.55853	+	0.506398i	−0.602118	+	0.798407i	$0.705676\pi$
$468$		−	5.05093i		−	0.233479i
$469$	0.208793	+	0.642598i	0.00964116	+	0.0296724i
$470$	−1.13808	−	16.8897i	−0.0524958	−	0.779065i
$471$	3.15125	−	9.69856i	0.145202	−	0.446886i
$472$	10.4643	+	3.40006i	0.481659	+	0.156500i
$473$	−7.13856	−	9.82539i	−0.328232	−	0.451772i
$474$	−18.9594			−0.870832
$475$	0.893164	−	4.91958i	0.0409812	−	0.225726i
$476$	2.77163			0.127037
$477$	−1.63073	−	2.24450i	−0.0746658	−	0.102769i
$478$	−0.00813079	−	0.00264185i	−0.000371894	−	0.000120836i
$479$	−6.41485	+	19.7429i	−0.293102	+	0.902076i	0.690750	+	0.723093i	$0.257280\pi$
$479$	−6.41485	+	19.7429i	−0.293102	+	0.902076i	−0.983852	+	0.178982i	$0.942720\pi$
$480$	2.57945	−	4.10482i	0.117735	−	0.187358i
$481$	−6.76398	−	20.8174i	−0.308411	−	0.949191i
$482$		−	22.5255i		−	1.02601i
$483$	10.2390	−	3.32686i	0.465892	−	0.151377i
$484$	5.40751	+	3.92879i	0.245796	+	0.178581i
$485$	15.5527	+	9.77324i	0.706211	+	0.443780i
$486$	12.8247	−	9.31768i	0.581739	−	0.422658i
$487$	−16.9259	+	23.2965i	−0.766984	+	1.05566i	0.229617	+	0.973281i	$0.426253\pi$
$487$	−16.9259	+	23.2965i	−0.766984	+	1.05566i	−0.996601	+	0.0823819i	$0.973747\pi$
$488$	5.36164	−	7.37967i	0.242710	−	0.334062i
$489$	−0.982289	+	0.713675i	−0.0444206	+	0.0322735i
$490$	−5.35314	−	13.3467i	−0.241830	−	0.602941i
$491$	−17.0237	−	12.3685i	−0.768270	−	0.558181i	0.133166	−	0.991094i	$-0.457486\pi$
$491$	−17.0237	−	12.3685i	−0.768270	−	0.558181i	−0.901436	+	0.432913i	$0.857486\pi$
$492$	−0.121215	+	0.0393850i	−0.00546477	+	0.00177561i
$493$		−	19.4209i		−	0.874674i
$494$	−0.917801	−	2.82470i	−0.0412938	−	0.127089i
$495$	15.5063	+	3.90789i	0.696959	+	0.175647i
$496$	−1.39321	+	4.28785i	−0.0625568	+	0.192530i
$497$	6.83978	+	2.22238i	0.306806	+	0.0996874i
$498$	7.20831	+	9.92139i	0.323012	+	0.444588i
$499$	−26.6250			−1.19190			−0.595950	−	0.803022i	$-0.703224\pi$
$499$	−26.6250			−1.19190			−0.595950	+	0.803022i	$0.703224\pi$
$500$	−9.72464	+	5.51647i	−0.434899	+	0.246704i
$501$	−23.0483			−1.02972
$502$	13.5467	+	18.6455i	0.604621	+	0.832189i
$503$	38.0924	+	12.3770i	1.69846	+	0.551862i	0.988346	−	0.152227i	$-0.0486446\pi$
$503$	38.0924	+	12.3770i	1.69846	+	0.551862i	0.710111	+	0.704089i	$0.248645\pi$
$504$	−0.396405	+	1.22001i	−0.0176573	+	0.0543435i
$505$	22.1316	+	5.57759i	0.984844	+	0.248199i
$506$	−8.55455	−	26.3282i	−0.380296	−	1.17043i
$507$		−	9.05982i		−	0.402361i
$508$	2.06677	−	0.671534i	0.0916981	−	0.0297945i
$509$	4.60810	+	3.34798i	0.204250	+	0.148397i	0.685209	−	0.728347i	$-0.259711\pi$
$509$	4.60810	+	3.34798i	0.204250	+	0.148397i	−0.480958	+	0.876744i	$0.659711\pi$
$510$	−6.63117	−	16.5331i	−0.293633	−	0.732099i
$511$	−0.852916	+	0.619680i	−0.0377308	+	0.0274130i
$512$	0.587785	−	0.809017i	0.0259767	−	0.0357538i
$513$	1.65590	−	2.27915i	0.0731099	−	0.100627i
$514$	17.2466	−	12.5304i	0.760714	−	0.552691i
$515$	25.8809	+	16.2635i	1.14045	+	0.716653i
$516$	−5.06566	−	3.68042i	−0.223003	−	0.162021i
$517$	30.2774	−	9.83773i	1.33160	−	0.432663i
$518$			5.55911i			0.244253i
$519$	12.3852	+	38.1178i	0.543652	+	1.67319i
$520$	−3.53358	+	5.62319i	−0.154958	+	0.246593i
$521$	−5.50657	+	16.9475i	−0.241247	+	0.742482i	0.754984	+	0.655743i	$0.227645\pi$
$521$	−5.50657	+	16.9475i	−0.241247	+	0.742482i	−0.996231	+	0.0867390i	$0.972355\pi$
$522$	8.54864	+	2.77762i	0.374164	+	0.121573i
$523$	−0.690643	−	0.950589i	−0.0301997	−	0.0415664i	0.793650	−	0.608374i	$-0.208178\pi$
$523$	−0.690643	−	0.950589i	−0.0301997	−	0.0415664i	−0.823850	+	0.566808i	$0.808178\pi$
$524$	−15.9732			−0.697794
$525$	5.91079	−	5.65042i	0.257968	−	0.246605i
$526$	10.0999			0.440378
$527$	9.73723	+	13.4022i	0.424161	+	0.583807i
$528$	8.67110	+	2.81741i	0.377361	+	0.122612i
$529$	−6.28415	+	19.3406i	−0.273224	+	0.840896i
$530$	0.245250	+	3.63964i	0.0106530	+	0.158096i
$531$	5.78218	+	17.7957i	0.250925	+	0.772268i
$532$			0.754312i			0.0327036i
$533$	0.166052	−	0.0539535i	0.00719250	−	0.00233698i
$534$	−8.83597	−	6.41971i	−0.382370	−	0.277808i
$535$	7.83457	−	31.0872i	0.338718	−	1.34402i
$536$	0.724669	−	0.526503i	0.0313009	−	0.0227415i
$537$	11.9519	−	16.4504i	0.515764	−	0.709889i
$538$	−12.1074	+	16.6644i	−0.521988	+	0.718455i
$539$	21.8790	−	15.8960i	0.942396	−	0.684691i
$540$	−6.28518	+	0.423514i	−0.270471	+	0.0182251i
$541$	−14.3088	−	10.3959i	−0.615183	−	0.446956i	0.236053	−	0.971740i	$-0.424146\pi$
$541$	−14.3088	−	10.3959i	−0.615183	−	0.446956i	−0.851236	+	0.524784i	$0.824146\pi$
$542$	−22.6342	+	7.35430i	−0.972223	+	0.315894i
$543$		−	32.5766i		−	1.39799i
$544$	−1.13545	−	3.49454i	−0.0486818	−	0.149827i
$545$	12.4892	+	14.9608i	0.534979	+	0.640851i
$546$	1.50099	−	4.61956i	0.0642363	−	0.197699i
$547$	21.6481	+	7.03390i	0.925607	+	0.300748i	0.732765	−	0.680482i	$-0.238230\pi$
$547$	21.6481	+	7.03390i	0.925607	+	0.300748i	0.192842	+	0.981230i	$0.438230\pi$
$548$	0.244372	+	0.336349i	0.0104390	+	0.0143681i
$549$	15.5126			0.662061
$550$	−14.5293	−	15.1988i	−0.619529	−	0.648077i
$551$	5.28550			0.225170
$552$	−8.38919	−	11.5467i	−0.357068	−	0.491461i
$553$	−6.27341	−	2.03836i	−0.266773	−	0.0866797i
$554$	−6.12583	+	18.8534i	−0.260262	+	0.801003i
$555$	33.1608	−	13.3003i	1.40760	−	0.564564i
$556$	−1.52026	−	4.67888i	−0.0644733	−	0.198428i
$557$		−	10.8882i		−	0.461348i	−0.973031	−	0.230674i	$-0.925907\pi$
$557$		−	10.8882i		−	0.461348i	0.973031	−	0.230674i	$-0.0740930\pi$
$558$	−7.29196	+	2.36930i	−0.308693	+	0.100301i
$559$	6.93945	+	5.04180i	0.293507	+	0.213246i
$560$	1.29482	−	1.08091i	0.0547163	−	0.0456768i
$561$	27.1025	−	19.6911i	1.14427	−	0.831361i
$562$	−0.187976	+	0.258727i	−0.00792930	+	0.0109137i
$563$	16.5320	−	22.7543i	0.696739	−	0.958980i	−0.303242	−	0.952914i	$-0.598069\pi$
$563$	16.5320	−	22.7543i	0.696739	−	0.958980i	0.999982	−	0.00606605i	$-0.00193090\pi$
$564$	13.2787	−	9.64756i	0.559135	−	0.406235i
$565$	−30.1490	+	25.1682i	−1.26838	+	1.05884i
$566$	7.94541	+	5.77268i	0.333970	+	0.242644i
$567$	8.04181	−	2.61294i	0.337724	−	0.109733i
$568$		−	9.53421i		−	0.400047i
$569$	−14.2290	−	43.7924i	−0.596511	−	1.83587i	−0.547058	−	0.837095i	$-0.684252\pi$
$569$	−14.2290	−	43.7924i	−0.596511	−	1.83587i	−0.0494527	−	0.998776i	$-0.515748\pi$
$570$	4.49957	−	1.80470i	0.188466	−	0.0755908i
$571$	0.961612	−	2.95954i	0.0402422	−	0.123853i	−0.928917	−	0.370288i	$-0.879259\pi$
$571$	0.961612	−	2.95954i	0.0402422	−	0.123853i	0.969159	+	0.246435i	$0.0792591\pi$
$572$	−11.8785	−	3.85957i	−0.496667	−	0.161377i
$573$	5.71721	+	7.86906i	0.238840	+	0.328735i
$574$	−0.0443427			−0.00185083
$575$	4.41578	+	32.6175i	0.184151	+	1.36024i
$576$	1.70061			0.0708588
$577$	−10.1870	−	14.0212i	−0.424091	−	0.583711i	0.542493	−	0.840060i	$-0.317480\pi$
$577$	−10.1870	−	14.0212i	−0.424091	−	0.583711i	−0.966584	+	0.256349i	$0.917480\pi$
$578$	3.32768	+	1.08123i	0.138413	+	0.0449732i
$579$	−14.6167	+	44.9855i	−0.607448	+	1.86953i
$580$	−7.57399	−	9.07288i	−0.314493	−	0.376731i
$581$	1.31847	+	4.05784i	0.0546995	+	0.168348i
$582$			17.8101i			0.738252i
$583$	−6.52461	+	2.11997i	−0.270222	+	0.0878004i
$584$	1.13072	+	0.821517i	0.0467896	+	0.0339946i
$585$	−11.2687	+	0.759317i	−0.465902	+	0.0313939i
$586$	7.16103	−	5.20279i	0.295820	−	0.214925i
$587$	13.9018	−	19.1342i	0.573790	−	0.789754i	−0.419207	−	0.907891i	$-0.637692\pi$
$587$	13.9018	−	19.1342i	0.573790	−	0.789754i	0.992997	+	0.118136i	$0.0376919\pi$
$588$	8.19550	−	11.2801i	0.337977	−	0.465185i
$589$	−3.64746	+	2.65003i	−0.150291	+	0.109193i
$590$	6.01244	−	23.8571i	0.247528	−	0.982181i
$591$	16.4706	+	11.9666i	0.677511	+	0.492240i
$592$	7.00907	−	2.27738i	0.288071	−	0.0935999i
$593$			35.6030i			1.46204i	0.682357	+	0.731020i	$0.260955\pi$
$593$			35.6030i			1.46204i	−0.682357	+	0.731020i	$0.739045\pi$
$594$	−3.66091	−	11.2671i	−0.150209	−	0.462296i
$595$	−0.416665	−	6.18353i	−0.0170816	−	0.253500i
$596$	5.24371	−	16.1385i	0.214791	−	0.661058i
$597$	−13.9428	−	4.53029i	−0.570641	−	0.185412i
$598$	11.4923	+	15.8179i	0.469957	+	0.646840i
$599$	−20.3230			−0.830375			−0.415187	−	0.909736i	$-0.636284\pi$
$599$	−20.3230			−0.830375			−0.415187	+	0.909736i	$0.636284\pi$
$600$	−9.54565	−	5.13768i	−0.389700	−	0.209745i
$601$	23.8632			0.973401			0.486701	−	0.873569i	$-0.338200\pi$
$601$	23.8632			0.973401			0.486701	+	0.873569i	$0.338200\pi$
$602$	−1.28048	−	1.76242i	−0.0521883	−	0.0718310i
$603$	1.44875	+	0.470728i	0.0589977	+	0.0191695i
$604$	−2.22380	+	6.84415i	−0.0904850	+	0.278484i
$605$	7.95224	−	12.6548i	0.323304	−	0.514492i
$606$	6.83847	+	21.0467i	0.277794	+	0.854962i
$607$			47.3743i			1.92286i	0.275045	+	0.961431i	$0.411307\pi$
$607$			47.3743i			1.92286i	−0.275045	+	0.961431i	$0.588693\pi$
$608$	0.951057	−	0.309017i	0.0385704	−	0.0125323i
$609$	6.99313	+	5.08081i	0.283376	+	0.205885i
$610$	−17.2701	−	10.8525i	−0.699247	−	0.439404i
$611$	−18.1905	+	13.2162i	−0.735910	+	0.534670i
$612$	3.67289	−	5.05530i	0.148468	−	0.204348i
$613$	16.6656	−	22.9383i	0.673118	−	0.926468i	−0.326708	−	0.945125i	$-0.605939\pi$
$613$	16.6656	−	22.9383i	0.673118	−	0.926468i	0.999826	+	0.0186575i	$0.00593922\pi$
$614$	−27.1148	+	19.7001i	−1.09426	+	0.795030i
$615$	0.106091	+	0.264510i	0.00427799	+	0.0106661i
$616$	2.56625	+	1.86449i	0.103397	+	0.0751226i
$617$	−10.3427	+	3.36055i	−0.416382	+	0.135291i	−0.509713	−	0.860344i	$-0.670249\pi$
$617$	−10.3427	+	3.36055i	−0.416382	+	0.135291i	0.0933311	+	0.995635i	$0.470249\pi$
$618$			29.6374i			1.19219i
$619$	−4.51153	−	13.8851i	−0.181334	−	0.558088i	0.818532	−	0.574461i	$-0.194788\pi$
$619$	−4.51153	−	13.8851i	−0.181334	−	0.558088i	−0.999866	+	0.0163726i	$0.994788\pi$
$620$	9.77567	+	2.46365i	0.392600	+	0.0989427i
$621$	−5.73090	+	17.6379i	−0.229973	+	0.707784i
$622$	21.9617	+	7.13579i	0.880585	+	0.286119i
$623$	−2.23352	−	3.07417i	−0.0894840	−	0.123164i
$624$	−6.43937			−0.257781
$625$	13.7692	+	20.8665i	0.550768	+	0.834658i
$626$	−4.81640			−0.192502
$627$	5.35904	+	7.37608i	0.214019	+	0.294572i
$628$	−4.47332	−	1.45347i	−0.178505	−	0.0579998i
$629$	8.36797	−	25.7540i	0.333653	−	1.02688i
$630$	2.78144	+	0.700976i	0.110815	+	0.0279275i
$631$	3.87360	+	11.9217i	0.154206	+	0.474596i	0.998080	−	0.0619456i	$-0.0197305\pi$
$631$	3.87360	+	11.9217i	0.154206	+	0.474596i	−0.843874	+	0.536541i	$0.819731\pi$
$632$			8.74473i			0.347847i
$633$	−1.12505	+	0.365553i	−0.0447169	+	0.0145294i
$634$	−10.8291	−	7.86784i	−0.430080	−	0.312472i
$635$	−1.80890	−	4.51003i	−0.0717840	−	0.178975i
$636$	−2.86149	+	2.07899i	−0.113465	+	0.0824375i
$637$	−11.2270	+	15.4527i	−0.444830	+	0.612256i
$638$	13.0646	−	17.9818i	0.517232	−	0.711908i
$639$	13.1174	−	9.53035i	0.518916	−	0.377015i
$640$	−1.89329	−	1.18973i	−0.0748387	−	0.0470283i
$641$	25.5709	+	18.5783i	1.00999	+	0.733800i	0.964207	−	0.265152i	$-0.0854221\pi$
$641$	25.5709	+	18.5783i	1.00999	+	0.733800i	0.0457819	+	0.998951i	$0.485422\pi$
$642$	29.5632	−	9.60568i	1.16677	−	0.379106i
$643$		−	30.6168i		−	1.20741i	−0.797208	−	0.603705i	$-0.793691\pi$
$643$		−	30.6168i		−	1.20741i	0.797208	−	0.603705i	$-0.206309\pi$
$644$	−1.53447	−	4.72260i	−0.0604665	−	0.186097i
$645$	−7.44951	+	11.8548i	−0.293324	+	0.466783i
$646$	1.13545	−	3.49454i	0.0446735	−	0.137491i
$647$	−17.7773	−	5.77620i	−0.698898	−	0.227086i	−0.0620476	−	0.998073i	$-0.519763\pi$
$647$	−17.7773	−	5.77620i	−0.698898	−	0.227086i	−0.636850	+	0.770987i	$0.719763\pi$
$648$	−6.58893	−	9.06888i	−0.258838	−	0.356259i
$649$	46.2695			1.81624
$650$	13.0766	+	7.03811i	0.512906	+	0.276057i
$651$	−7.37329			−0.288982
$652$	0.329172	+	0.453067i	0.0128914	+	0.0177435i
$653$	1.24254	+	0.403726i	0.0486244	+	0.0157990i	0.333228	−	0.942846i	$-0.391862\pi$
$653$	1.24254	+	0.403726i	0.0486244	+	0.0157990i	−0.284604	+	0.958645i	$0.591862\pi$
$654$	−5.83923	+	17.9713i	−0.228332	+	0.702734i
$655$	2.40129	+	35.6364i	0.0938261	+	1.39243i
$656$	0.0181658	+	0.0559084i	0.000709254	+	0.00218286i
$657$			2.37686i			0.0927300i
$658$	5.43099	−	1.76464i	0.211722	−	0.0687926i
$659$	14.7873	+	10.7436i	0.576031	+	0.418511i	0.837291	−	0.546757i	$-0.184138\pi$
$659$	14.7873	+	10.7436i	0.576031	+	0.418511i	−0.261260	+	0.965269i	$0.584138\pi$
$660$	4.98213	−	19.7689i	0.193929	−	0.769502i
$661$	−5.01276	+	3.64198i	−0.194974	+	0.141657i	−0.680989	−	0.732294i	$-0.738450\pi$
$661$	−5.01276	+	3.64198i	−0.194974	+	0.141657i	0.486015	+	0.873950i	$0.338450\pi$
$662$	−16.9214	+	23.2903i	−0.657668	+	0.905202i
$663$	−13.9074	+	19.1419i	−0.540119	+	0.743410i
$664$	4.57610	−	3.32473i	0.177587	−	0.129025i
$665$	1.68288	−	0.113397i	0.0652592	−	0.00439736i
$666$	10.1395	+	7.36678i	0.392898	+	0.285457i
$667$	−33.0915	+	10.7521i	−1.28131	+	0.416322i
$668$			10.6307i			0.411315i
$669$	3.85769	+	11.8727i	0.149147	+	0.459027i
$670$	−1.28357	−	1.53759i	−0.0495888	−	0.0594024i
$671$	11.8537	−	36.4818i	0.457606	−	1.40837i
$672$	1.55537	+	0.505371i	0.0599998	+	0.0194951i
$673$	0.559090	+	0.769522i	0.0215514	+	0.0296629i	0.819657	−	0.572855i	$-0.194164\pi$
$673$	0.559090	+	0.769522i	0.0215514	+	0.0296629i	−0.798105	+	0.602518i	$0.794164\pi$
$674$	−16.8517			−0.649102
$675$	1.88973	+	13.9586i	0.0727356	+	0.537267i
$676$	−4.17871			−0.160720
$677$	−14.0128	−	19.2869i	−0.538555	−	0.741257i	0.449849	−	0.893105i	$-0.351478\pi$
$677$	−14.0128	−	19.2869i	−0.538555	−	0.741257i	−0.988404	+	0.151847i	$0.951478\pi$
$678$	−36.2158	−	11.7672i	−1.39086	−	0.451917i
$679$	−1.91480	+	5.89314i	−0.0734831	+	0.226158i
$680$	−7.62566	+	3.05853i	−0.292431	+	0.117289i
$681$	15.3883	+	47.3602i	0.589680	+	1.81485i
$682$			18.9594i			0.725991i
$683$	7.71674	−	2.50732i	0.295273	−	0.0959399i	−0.157635	−	0.987498i	$-0.550387\pi$
$683$	7.71674	−	2.50732i	0.295273	−	0.0959399i	0.452907	+	0.891558i	$0.350387\pi$
$684$	1.37582	+	0.999595i	0.0526059	+	0.0382205i
$685$	0.713660	−	0.595759i	0.0272675	−	0.0227628i
$686$	8.19629	−	5.95496i	0.312936	−	0.227361i
$687$	27.3757	−	37.6795i	1.04445	−	1.43756i
$688$	−1.69754	+	2.33646i	−0.0647181	+	0.0890768i
$689$	3.91995	−	2.84801i	0.149338	−	0.108501i
$690$	−24.4997	+	20.4522i	−0.932687	+	0.778602i
$691$	−32.3772	−	23.5234i	−1.23169	−	0.894874i	−0.234673	−	0.972074i	$-0.575402\pi$
$691$	−32.3772	−	23.5234i	−1.23169	−	0.894874i	−0.997016	+	0.0772006i	$0.975402\pi$
$692$	17.5813	−	5.71251i	0.668341	−	0.217157i
$693$			5.39445i			0.204918i
$694$	9.04100	+	27.8253i	0.343192	+	1.05624i
$695$	−10.2101	+	4.09510i	−0.387290	+	0.155336i
$696$	3.54116	−	10.8986i	0.134227	−	0.413109i
$697$	0.205429	+	0.0667479i	0.00778117	+	0.00252826i
$698$	−16.0952	−	22.1532i	−0.609213	−	0.838509i
$699$	19.0163			0.719261
$700$	−2.60617	−	2.72627i	−0.0985041	−	0.103043i
$701$	12.1949			0.460593			0.230297	−	0.973120i	$-0.426030\pi$
$701$	12.1949			0.460593			0.230297	+	0.973120i	$0.426030\pi$
$702$	4.91814	+	6.76924i	0.185623	+	0.255488i
$703$	7.00907	+	2.27738i	0.264352	+	0.0858931i
$704$	1.29949	−	3.99942i	0.0489764	−	0.150734i
$705$	−23.5200	−	28.1746i	−0.885815	−	1.06112i
$706$	−6.70906	−	20.6484i	−0.252499	−	0.777112i
$707$			7.69929i			0.289562i
$708$	22.6875	−	7.37163i	0.852650	−	0.277043i
$709$	−34.5504	−	25.1023i	−1.29757	−	0.942738i	−0.297638	−	0.954679i	$-0.596199\pi$
$709$	−34.5504	−	25.1023i	−1.29757	−	0.942738i	−0.999929	+	0.0119411i	$0.996199\pi$
$710$	−21.2709	+	1.43330i	−0.798283	+	0.0537907i
$711$	−12.0312	+	8.74118i	−0.451206	+	0.327820i
$712$	−2.96100	+	4.07547i	−0.110968	+	0.152735i
$713$	17.4452	−	24.0112i	0.653327	−	0.899228i
$714$	4.86150	−	3.53208i	0.181937	−	0.132185i
$715$	−6.82501	+	27.0814i	−0.255241	+	1.01279i
$716$	−7.58753	−	5.51266i	−0.283559	−	0.206018i
$717$	−0.0176283	+	0.00572777i	−0.000658340	+	0.000213908i
$718$			2.08058i			0.0776466i
$719$	4.30686	+	13.2551i	0.160619	+	0.494333i	0.998687	−	0.0512322i	$-0.0163149\pi$
$719$	4.30686	+	13.2551i	0.160619	+	0.494333i	−0.838068	+	0.545566i	$0.816315\pi$
$720$	−0.255657	−	3.79408i	−0.00952776	−	0.141397i
$721$	−3.18637	+	9.80665i	−0.118667	+	0.365219i
$722$	0.951057	+	0.309017i	0.0353947	+	0.0115004i
$723$	−28.7059	−	39.5102i	−1.06758	−	1.46940i
$724$	−15.0255			−0.558417
$725$	−19.1031	+	18.2616i	−0.709470	+	0.678218i
$726$	14.4916			0.537835
$727$	12.3031	+	16.9338i	0.456297	+	0.628039i	0.973736	−	0.227681i	$-0.0731143\pi$
$727$	12.3031	+	16.9338i	0.456297	+	0.628039i	−0.517438	+	0.855720i	$0.673114\pi$
$728$	−2.13071	−	0.692308i	−0.0789692	−	0.0256586i
$729$	0.228575	−	0.703480i	0.00846572	−	0.0260548i
$730$	1.66283	−	2.64615i	0.0615440	−	0.0979383i
$731$	3.27920	+	10.0923i	0.121286	+	0.373279i
$732$		−	19.7768i		−	0.730972i
$733$	−11.5925	+	3.76662i	−0.428178	+	0.139123i	−0.515175	−	0.857085i	$-0.672273\pi$
$733$	−11.5925	+	3.76662i	−0.428178	+	0.139123i	0.0869971	+	0.996209i	$0.472273\pi$
$734$	−15.9831	−	11.6124i	−0.589946	−	0.428621i
$735$	−26.3981	−	16.5885i	−0.973709	−	0.611875i
$736$	−5.32576	+	3.86939i	−0.196310	+	0.142628i
$737$	2.21407	−	3.04741i	0.0815564	−	0.112253i
$738$	−0.0587618	+	0.0808787i	−0.00216305	+	0.00297718i
$739$	0.187144	−	0.135968i	0.00688419	−	0.00500166i	−0.584338	−	0.811511i	$-0.698646\pi$
$739$	0.187144	−	0.135968i	0.00688419	−	0.00500166i	0.591222	+	0.806509i	$0.298646\pi$
$740$	−6.13455	−	15.2949i	−0.225511	−	0.562253i
$741$	−5.20956	−	3.78496i	−0.191378	−	0.139044i
$742$	−1.17035	+	0.380269i	−0.0429648	+	0.0139601i
$743$		−	50.1721i		−	1.84064i	−0.391172	−	0.920318i	$-0.627930\pi$
$743$		−	50.1721i		−	1.84064i	0.391172	−	0.920318i	$-0.372070\pi$
$744$	3.02059	+	9.29643i	0.110740	+	0.340824i
$745$	−36.7934	−	9.27264i	−1.34801	−	0.339723i
$746$	4.96180	−	15.2708i	0.181664	−	0.559105i
$747$	9.14849	+	2.97252i	0.334726	+	0.108759i
$748$	−9.08225	−	12.5007i	−0.332080	−	0.457069i
$749$	10.8148			0.395165
$750$	−10.0272	+	22.0688i	−0.366142	+	0.805838i
$751$	50.8535			1.85567			0.927835	−	0.372990i	$-0.121668\pi$
$751$	50.8535			1.85567			0.927835	+	0.372990i	$0.121668\pi$
$752$	−4.44980	−	6.12462i	−0.162267	−	0.223342i
$753$	47.5225	+	15.4410i	1.73182	+	0.562702i
$754$	−4.85103	+	14.9299i	−0.176664	+	0.543716i
$755$	15.6037	+	3.93242i	0.567875	+	0.143115i
$756$	−0.656674	−	2.02103i	−0.0238830	−	0.0735043i
$757$			23.8773i			0.867834i	0.900953	+	0.433917i	$0.142869\pi$
$757$			23.8773i			0.867834i	−0.900953	+	0.433917i	$0.857131\pi$
$758$	−25.3769	+	8.24546i	−0.921731	+	0.299489i
$759$	−48.5568	−	35.2786i	−1.76250	−	1.28053i
$760$	−0.832394	−	2.07536i	−0.0301941	−	0.0752812i
$761$	−32.0024	+	23.2511i	−1.16009	+	0.842852i	−0.989789	−	0.142540i	$-0.954473\pi$
$761$	−32.0024	+	23.2511i	−1.16009	+	0.842852i	−0.170298	+	0.985393i	$0.554473\pi$
$762$	2.76937	−	3.81172i	0.100324	−	0.138084i
$763$	−3.86426	+	5.31870i	−0.139896	+	0.192550i
$764$	3.62949	−	2.63698i	0.131310	−	0.0954025i
$765$	−11.8306	−	7.43428i	−0.427735	−	0.268787i
$766$	27.4080	+	19.9131i	0.990292	+	0.719489i
$767$	−31.0797	+	10.0984i	−1.12222	+	0.364632i
$768$		−	2.16809i		−	0.0782342i
$769$	−8.89261	−	27.3686i	−0.320676	−	0.986938i	−0.973355	−	0.229304i	$-0.926355\pi$
$769$	−8.89261	−	27.3686i	−0.320676	−	0.986938i	0.652679	−	0.757634i	$-0.273645\pi$
$770$	3.77391	−	6.00563i	0.136002	−	0.216428i
$771$	14.2825	−	43.9571i	0.514373	−	1.58308i
$772$	20.7489	+	6.74173i	0.746770	+	0.242640i
$773$	−24.2416	−	33.3656i	−0.871908	−	1.20008i	−0.978597	−	0.205786i	$-0.934025\pi$
$773$	−24.2416	−	33.3656i	−0.871908	−	1.20008i	0.106689	−	0.994292i	$-0.465975\pi$
$774$	−4.91141			−0.176537
$775$	4.02684	−	22.1800i	0.144648	−	0.796728i
$776$	8.21465			0.294889
$777$	7.08436	+	9.75079i	0.254150	+	0.349808i
$778$	−24.9269	−	8.09924i	−0.893673	−	0.290372i
$779$	−0.0181658	+	0.0559084i	−0.000650856	+	0.00200313i
$780$	0.968043	+	14.3663i	0.0346615	+	0.514395i
$781$	−12.3896	−	38.1313i	−0.443336	−	1.36445i
$782$			24.1885i			0.864977i
$783$	−14.1615	+	4.60134i	−0.506089	+	0.164438i
$784$	−5.20280	−	3.78005i	−0.185814	−	0.135002i
$785$	−2.57022	+	10.1985i	−0.0917351	+	0.364001i
$786$	−28.0174	+	20.3558i	−0.999347	+	0.726068i
$787$	5.07800	−	6.98927i	0.181011	−	0.249140i	−0.708863	−	0.705346i	$-0.750792\pi$
$787$	5.07800	−	6.98927i	0.181011	−	0.249140i	0.889875	+	0.456205i	$0.150792\pi$
$788$	5.51942	−	7.59683i	0.196621	−	0.270626i
$789$	17.7155	−	12.8711i	0.630688	−	0.458222i
$790$	19.5096	−	1.31461i	0.694119	−	0.0467718i
$791$	−10.7182	−	7.78725i	−0.381096	−	0.276883i
$792$	6.80146	−	2.20993i	0.241680	−	0.0785264i
$793$			27.0923i			0.962074i
$794$	−8.72001	−	26.8374i	−0.309462	−	0.952425i
$795$	5.06843	+	6.07147i	0.179759	+	0.215333i
$796$	−2.08953	+	6.43092i	−0.0740615	+	0.227938i
$797$	23.4508	+	7.61962i	0.830669	+	0.269901i	0.693327	−	0.720623i	$-0.256144\pi$
$797$	23.4508	+	7.61962i	0.830669	+	0.269901i	0.137342	+	0.990524i	$0.456144\pi$
$798$	0.961274	+	1.32308i	0.0340287	+	0.0468365i
$799$	−27.8167			−0.984084
$800$	−2.36968	+	4.40280i	−0.0837809	+	0.155662i
$801$	−8.56692			−0.302697
$802$	17.0549	+	23.4740i	0.602229	+	0.828897i
$803$	5.58978	+	1.81623i	0.197259	+	0.0640934i
$804$	0.600125	−	1.84699i	0.0211648	−	0.0651385i
$805$	−10.3055	+	4.13337i	−0.363221	+	0.145682i
$806$	−4.13791	−	12.7352i	−0.145752	−	0.448578i
$807$			44.6591i			1.57208i
$808$	9.70746	−	3.15415i	0.341507	−	0.110962i
$809$	−9.85611	−	7.16088i	−0.346522	−	0.251763i	0.400886	−	0.916128i	$-0.368702\pi$
$809$	−9.85611	−	7.16088i	−0.346522	−	0.251763i	−0.747409	+	0.664365i	$0.768702\pi$
$810$	−19.2422	+	16.0633i	−0.676103	+	0.564407i
$811$	9.92446	−	7.21055i	0.348495	−	0.253196i	−0.399742	−	0.916628i	$-0.630900\pi$
$811$	9.92446	−	7.21055i	0.348495	−	0.253196i	0.748237	+	0.663431i	$0.230900\pi$
$812$	2.34345	−	3.22548i	0.0822389	−	0.113192i
$813$	−30.3288	+	41.7440i	−1.06368	+	1.46403i
$814$	25.0728	−	18.2164i	0.878800	−	0.638486i
$815$	0.961310	−	0.802496i	0.0336732	−	0.0281102i
$816$	−6.44494	−	4.68252i	−0.225618	−	0.163921i
$817$	−2.74668	+	0.892450i	−0.0960941	+	0.0312229i
$818$			21.0065i			0.734477i
$819$	−1.17735	−	3.62350i	−0.0411398	−	0.126615i
$820$	0.122001	−	0.0489328i	0.00426047	−	0.00170881i
$821$	−13.7747	+	42.3941i	−0.480740	+	1.47956i	0.357318	+	0.933983i	$0.383691\pi$
$821$	−13.7747	+	42.3941i	−0.480740	+	1.47956i	−0.838058	+	0.545582i	$0.816309\pi$
$822$	0.857266	+	0.278543i	0.0299006	+	0.00971529i
$823$	−19.0128	−	26.1689i	−0.662746	−	0.912191i	0.336823	−	0.941568i	$-0.390648\pi$
$823$	−19.0128	−	26.1689i	−0.662746	−	0.912191i	−0.999568	+	0.0293767i	$0.990648\pi$
$824$	13.6698			0.476211
$825$	−44.8535	−	8.14328i	−1.56160	−	0.283512i
$826$	8.29956			0.288779
$827$	25.2038	+	34.6901i	0.876422	+	1.20629i	0.977399	+	0.211403i	$0.0678032\pi$
$827$	25.2038	+	34.6901i	0.876422	+	1.20629i	−0.100977	+	0.994889i	$0.532197\pi$
$828$	−10.6472	−	3.45949i	−0.370016	−	0.120225i
$829$	−4.47786	+	13.7815i	−0.155523	+	0.478650i	−0.998213	−	0.0597482i	$-0.980970\pi$
$829$	−4.47786	+	13.7815i	−0.155523	+	0.478650i	0.842691	+	0.538398i	$0.180970\pi$
$830$	−8.10544	−	9.70951i	−0.281344	−	0.337022i
$831$	13.2813	+	40.8758i	0.460725	+	1.41797i
$832$			2.97007i			0.102968i
$833$	−22.4735	+	7.30207i	−0.778659	+	0.253002i
$834$	−8.62919	−	6.26947i	−0.298804	−	0.217094i
$835$	23.7172	−	1.59814i	0.820768	−	0.0553058i
$836$	3.40211	−	2.47178i	0.117664	−	0.0854883i
$837$	7.46565	−	10.2756i	0.258051	−	0.355176i
$838$	17.0733	−	23.4993i	0.589786	−	0.811771i
$839$	36.2770	−	26.3568i	1.25242	−	0.909938i	0.254062	−	0.967188i	$-0.418233\pi$
$839$	36.2770	−	26.3568i	1.25242	−	0.909938i	0.998360	+	0.0572502i	$0.0182333\pi$
$840$	0.893666	−	3.54602i	0.0308344	−	0.122349i
$841$	0.860415	+	0.625128i	0.0296695	+	0.0215561i
$842$	0.472326	−	0.153468i	0.0162774	−	0.00528885i
$843$			0.693365i			0.0238807i
$844$	0.168606	+	0.518915i	0.00580365	+	0.0178618i
$845$	0.628195	+	9.32275i	0.0216106	+	0.320712i
$846$	3.97841	−	12.2443i	0.136780	−	0.420967i
$847$	4.79510	+	1.55802i	0.164761	+	0.0535342i
$848$	0.958906	+	1.31982i	0.0329290	+	0.0453228i
$849$	21.2929			0.730772
$850$	7.96999	+	16.5531i	0.273369	+	0.567767i
$851$	−48.5152			−1.66308
$852$	−12.1501	−	16.7232i	−0.416256	−	0.572928i
$853$	−9.87547	−	3.20874i	−0.338130	−	0.109865i	0.135030	−	0.990841i	$-0.456887\pi$
$853$	−9.87547	−	3.20874i	−0.338130	−	0.109865i	−0.473160	+	0.880976i	$0.656887\pi$
$854$	2.12624	−	6.54390i	0.0727585	−	0.223928i
$855$	2.02327	−	3.21975i	0.0691945	−	0.110113i
$856$	−4.43048	−	13.6356i	−0.151431	−	0.466056i
$857$			7.50720i			0.256441i	0.991746	+	0.128221i	$0.0409266\pi$
$857$			7.50720i			0.256441i	−0.991746	+	0.128221i	$0.959073\pi$
$858$	−25.7537	+	8.36790i	−0.879218	+	0.285675i
$859$	−10.7361	−	7.80022i	−0.366310	−	0.266140i	0.389369	−	0.921082i	$-0.372693\pi$
$859$	−10.7361	−	7.80022i	−0.366310	−	0.266140i	−0.755679	+	0.654942i	$0.772693\pi$
$860$	5.46787	+	3.43598i	0.186453	+	0.117166i
$861$	−0.0777781	+	0.0565091i	−0.00265067	+	0.00192582i
$862$	4.03162	−	5.54905i	0.137318	−	0.189001i
$863$	0.0715976	−	0.0985457i	0.00243721	−	0.00335453i	−0.807797	−	0.589461i	$-0.799340\pi$
$863$	0.0715976	−	0.0985457i	0.00243721	−	0.00335453i	0.810234	+	0.586107i	$0.199340\pi$
$864$	−2.27915	+	1.65590i	−0.0775384	+	0.0563350i
$865$	−15.3877	−	38.3653i	−0.523198	−	1.30446i
$866$	23.1500	+	16.8194i	0.786667	+	0.571547i
$867$	7.21471	−	2.34420i	0.245024	−	0.0796133i
$868$			3.40082i			0.115431i
$869$	11.3637	+	34.9739i	0.385487	+	1.18641i
$870$	−24.8471	−	6.26195i	−0.842397	−	0.212300i
$871$	−0.822111	+	2.53020i	−0.0278562	+	0.0857325i
$872$	8.28901	+	2.69326i	0.280701	+	0.0912054i
$873$	8.21132	+	11.3019i	0.277911	+	0.382512i
$874$	−6.58300			−0.222673
$875$	−5.69053	+	6.22424i	−0.192375	+	0.210418i
$876$	3.03023			0.102382
$877$	0.348041	+	0.479037i	0.0117525	+	0.0161759i	0.814853	−	0.579668i	$-0.196818\pi$
$877$	0.348041	+	0.479037i	0.0117525	+	0.0161759i	−0.803100	+	0.595844i	$0.796818\pi$
$878$	−1.07910	−	0.350620i	−0.0364178	−	0.0118328i
$879$	5.93031	−	18.2516i	0.200024	−	0.615612i
$880$	−9.11810	−	2.29793i	−0.307371	−	0.0774633i
$881$	11.7387	+	36.1280i	0.395487	+	1.21718i	0.928582	+	0.371128i	$0.121029\pi$
$881$	11.7387	+	36.1280i	0.395487	+	1.21718i	−0.533094	+	0.846056i	$0.678971\pi$
$882$		−	10.9367i		−	0.368256i
$883$	4.47826	−	1.45507i	0.150705	−	0.0489672i	−0.232693	−	0.972550i	$-0.574754\pi$
$883$	4.47826	−	1.45507i	0.150705	−	0.0489672i	0.383398	+	0.923583i	$0.374754\pi$
$884$	8.82892	+	6.41459i	0.296949	+	0.215746i
$885$	−19.8568	−	49.5079i	−0.667480	−	1.66419i
$886$	−28.7643	+	20.8985i	−0.966357	+	0.702099i
$887$	−7.33599	+	10.0971i	−0.246318	+	0.339028i	−0.914218	−	0.405223i	$-0.867194\pi$
$887$	−7.33599	+	10.0971i	−0.246318	+	0.339028i	0.667899	+	0.744252i	$0.267194\pi$
$888$	9.39182	−	12.9267i	0.315169	−	0.433793i
$889$	1.32616	−	0.963508i	0.0444778	−	0.0323150i
$890$	9.53753	+	5.99334i	0.319699	+	0.200897i
$891$	−38.1368	−	27.7080i	−1.27763	−	0.928254i
$892$	5.47613	−	1.77930i	0.183354	−	0.0595755i
$893$		−	7.57045i		−	0.253335i
$894$	−11.3688	−	34.9897i	−0.380231	−	1.17023i
$895$	−11.1581	+	17.7566i	−0.372976	+	0.593537i
$896$	0.233095	−	0.717393i	0.00778717	−	0.0239664i
$897$	40.3156	+	13.0993i	1.34610	+	0.437374i
$898$	3.67661	+	5.06042i	0.122690	+	0.168869i
$899$	23.8297			0.794765
$900$	−8.42619	+	1.14074i	−0.280873	+	0.0380248i
$901$	5.99434			0.199700
$902$	0.145305	+	0.199995i	0.00483813	+	0.00665911i
$903$	−4.49196	−	1.45953i	−0.149483	−	0.0485700i
$904$	−5.42746	+	16.7040i	−0.180515	+	0.555567i
$905$	2.25881	+	33.5220i	0.0750854	+	1.11431i
$906$	4.82139	+	14.8387i	0.160180	+	0.492983i
$907$			20.6663i			0.686213i	0.939296	+	0.343107i	$0.111479\pi$
$907$			20.6663i			0.686213i	−0.939296	+	0.343107i	$0.888521\pi$
$908$	21.8442	−	7.09762i	0.724926	−	0.235543i
$909$	14.0431	+	10.2029i	0.465780	+	0.338409i
$910$	−1.22423	+	4.85770i	−0.0405829	+	0.161031i
$911$	−8.19308	+	5.95262i	−0.271449	+	0.197219i	−0.715179	−	0.698941i	$-0.753655\pi$
$911$	−8.19308	+	5.95262i	−0.271449	+	0.197219i	0.443730	+	0.896160i	$0.353655\pi$
$912$	1.27437	−	1.75402i	0.0421986	−	0.0580814i
$913$	13.9813	−	19.2436i	0.462713	−	0.636870i
$914$	15.6751	−	11.3887i	0.518488	−	0.376703i
$915$	−44.1223	+	2.97309i	−1.45864	+	0.0982874i
$916$	−17.3791	−	12.6267i	−0.574222	−	0.417197i
$917$	−11.4591	+	3.72329i	−0.378413	+	0.122954i
$918$			10.3514i			0.341648i
$919$	5.69001	+	17.5120i	0.187696	+	0.577669i	0.999984	−	0.00558704i	$-0.00177842\pi$
$919$	5.69001	+	17.5120i	0.187696	+	0.577669i	−0.812288	+	0.583256i	$0.801778\pi$
$920$	9.43328	+	11.3001i	0.311006	+	0.372554i
$921$	−22.4548	+	69.1087i	−0.739910	+	2.27721i
$922$	−24.4427	−	7.94190i	−0.804976	−	0.261553i
$923$	16.6445	+	22.9091i	0.547859	+	0.754063i
$924$	6.87732			0.226247
$925$	−33.2009	+	15.9856i	−1.09164	+	0.525602i
$926$	16.4908			0.541923
$927$	13.6643	+	18.8073i	0.448794	+	0.617712i
$928$	−5.02681	−	1.63331i	−0.165013	−	0.0536160i
$929$	8.77006	−	26.9915i	0.287736	−	0.885561i	−0.697829	−	0.716265i	$-0.745850\pi$
$929$	8.77006	−	26.9915i	0.287736	−	0.885561i	0.985565	−	0.169297i	$-0.0541496\pi$
$930$	20.2863	−	8.13652i	0.665215	−	0.266807i
$931$	−1.98729	−	6.11626i	−0.0651309	−	0.200452i
$932$		−	8.77097i		−	0.287303i
$933$	47.6150	−	15.4710i	1.55884	−	0.506499i
$934$	28.6501	+	20.8155i	0.937459	+	0.681104i
$935$	−26.5237	+	22.1418i	−0.867418	+	0.724116i
$936$	−4.08629	+	2.96886i	−0.133564	+	0.0970403i
$937$	−24.8046	+	34.1406i	−0.810330	+	1.11532i	0.180942	+	0.983494i	$0.442085\pi$
$937$	−24.8046	+	34.1406i	−0.810330	+	1.11532i	−0.991272	+	0.131830i	$0.957915\pi$
$938$	0.397148	−	0.546627i	0.0129673	−	0.0178480i
$939$	−8.44808	+	6.13789i	−0.275693	+	0.200302i
$940$	−12.9951	+	10.8483i	−0.423854	+	0.353831i
$941$	−11.7795	−	8.55830i	−0.384000	−	0.278993i	0.378992	−	0.925400i	$-0.376271\pi$
$941$	−11.7795	−	8.55830i	−0.384000	−	0.278993i	−0.762993	+	0.646407i	$0.776271\pi$
$942$	−9.69856	+	3.15125i	−0.315996	+	0.102673i
$943$		−	0.386986i		−	0.0126020i
$944$	−3.40006	−	10.4643i	−0.110662	−	0.340584i
$945$	−4.41022	+	1.76887i	−0.143465	+	0.0575414i
$946$	−3.75297	+	11.5504i	−0.122019	+	0.375537i
$947$	−51.0795	−	16.5967i	−1.65986	−	0.539322i	−0.679018	−	0.734121i	$-0.737594\pi$
$947$	−51.0795	−	16.5967i	−1.65986	−	0.539322i	−0.980843	+	0.194800i	$0.937594\pi$
$948$	11.1440	+	15.3384i	0.361941	+	0.498169i
$949$	−4.15110			−0.134751
$950$	−4.50501	+	2.16907i	−0.146162	+	0.0703740i
$951$	−29.0211			−0.941074
$952$	−1.62912	−	2.24230i	−0.0528002	−	0.0726732i
$953$	−7.84294	−	2.54833i	−0.254058	−	0.0825484i	0.179219	−	0.983809i	$-0.442643\pi$
$953$	−7.84294	−	2.54833i	−0.254058	−	0.0825484i	−0.433277	+	0.901261i	$0.642643\pi$
$954$	−0.857324	+	2.63857i	−0.0277569	+	0.0854269i
$955$	−6.42875	−	7.70100i	−0.208030	−	0.249199i
$956$	0.00264185	+	0.00813079i	8.54436e−5	+	0.000262968i
$957$		−	48.1897i		−	1.55775i
$958$	19.7429	−	6.41485i	0.637864	−	0.207255i
$959$	0.253712	+	0.184332i	0.00819278	+	0.00595240i
$960$	−4.83703	+	0.325933i	−0.156114	+	0.0105195i
$961$	8.63493	−	6.27364i	0.278546	−	0.202376i
$962$	−12.8658	+	17.7083i	−0.414812	+	0.570939i
$963$	14.3315	−	19.7256i	0.461827	−	0.635650i
$964$	−18.2235	+	13.2402i	−0.586940	+	0.426437i
$965$	11.9216	−	47.3045i	0.383771	−	1.52279i
$966$	−8.70984	−	6.32807i	−0.280234	−	0.203602i
$967$	15.7688	−	5.12359i	0.507090	−	0.164764i	−0.0442884	−	0.999019i	$-0.514102\pi$
$967$	15.7688	−	5.12359i	0.507090	−	0.164764i	0.551378	+	0.834255i	$0.314102\pi$
$968$		−	6.68405i		−	0.214834i
$969$	−2.46175	−	7.57648i	−0.0790827	−	0.243392i
$970$	−1.23493	−	18.3270i	−0.0396511	−	0.588443i
$971$	−5.52879	+	17.0159i	−0.177427	+	0.546065i	−0.999736	−	0.0229765i	$-0.992686\pi$
$971$	−5.52879	+	17.0159i	−0.177427	+	0.546065i	0.822309	+	0.569042i	$0.192686\pi$
$972$	−15.0763	−	4.89859i	−0.483573	−	0.157122i
$973$	−2.18125	−	3.00223i	−0.0699276	−	0.0962471i
$974$	28.7960			0.922683
$975$	31.9058	−	4.31943i	1.02180	−	0.138332i
$976$	−9.12177			−0.291981
$977$	−13.5654	−	18.6712i	−0.433997	−	0.597346i	0.534868	−	0.844936i	$-0.320361\pi$
$977$	−13.5654	−	18.6712i	−0.433997	−	0.597346i	−0.968865	+	0.247590i	$0.920361\pi$
$978$	1.15475	+	0.375201i	0.0369248	+	0.0119976i
$979$	−6.54625	+	20.1473i	−0.209219	+	0.643910i
$980$	−7.65119	+	12.1758i	−0.244408	+	0.388940i
$981$	4.58019	+	14.0964i	0.146234	+	0.450063i
$982$			21.0425i			0.671493i
$983$	18.4101	−	5.98181i	0.587191	−	0.190790i	−0.000328396	−	1.00000i	$-0.500105\pi$
$983$	18.4101	−	5.98181i	0.587191	−	0.190790i	0.587520	+	0.809210i	$0.300105\pi$
$984$	0.103111	+	0.0749147i	0.00328707	+	0.00238819i
$985$	−17.7783	−	11.1718i	−0.566465	−	0.355964i
$986$	−15.7119	+	11.4153i	−0.500367	+	0.363538i
$987$	7.27727	−	10.0163i	0.231638	−	0.318822i
$988$	−1.74576	+	2.40283i	−0.0555400	+	0.0764443i
$989$	15.3809	−	11.1749i	0.489086	−	0.355341i
$990$	−5.95285	−	14.8419i	−0.189194	−	0.471707i
$991$	11.4090	+	8.28909i	0.362417	+	0.263312i	0.754060	−	0.656806i	$-0.228093\pi$
$991$	11.4090	+	8.28909i	0.362417	+	0.263312i	−0.391642	+	0.920118i	$0.628093\pi$
$992$	4.28785	−	1.39321i	0.136139	−	0.0442343i
$993$			62.4158i			1.98070i
$994$	−2.22238	−	6.83978i	−0.0704896	−	0.216945i
$995$	14.6616	+	3.69499i	0.464803	+	0.117139i
$996$	3.78964	−	11.6633i	0.120079	−	0.369566i
$997$	−24.8379	−	8.07031i	−0.786623	−	0.255589i	−0.111958	−	0.993713i	$-0.535712\pi$
$997$	−24.8379	−	8.07031i	−0.786623	−	0.255589i	−0.674665	+	0.738124i	$0.735712\pi$
$998$	15.6498	+	21.5401i	0.495386	+	0.681840i
$999$	−20.7620			−0.656882

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.n.b.39.4	✓	96
25.9	even	10	inner	950.2.n.b.609.4	yes	96

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.n.b.39.4	✓	96	1.1	even	1	trivial
950.2.n.b.609.4	yes	96	25.9	even	10	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

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

\(f(q)\)	\(=\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-2.06198 - 0.669976i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.16827 + 0.546445i) q^{5} +(0.669976 + 2.06198i) q^{6} +0.754312i q^{7} +(0.951057 - 0.309017i) q^{8} +(1.37582 + 0.999595i) q^{9} +O(q^{10})\)	\(q+(-0.587785 - 0.809017i) q^{2} +(-2.06198 - 0.669976i) q^{3} +(-0.309017 + 0.951057i) q^{4} +(2.16827 + 0.546445i) q^{5} +(0.669976 + 2.06198i) q^{6} +0.754312i q^{7} +(0.951057 - 0.309017i) q^{8} +(1.37582 + 0.999595i) q^{9} +(-0.832394 - 2.07536i) q^{10} +(3.40211 - 2.47178i) q^{11} +(1.27437 - 1.75402i) q^{12} +(-1.74576 + 2.40283i) q^{13} +(0.610251 - 0.443374i) q^{14} +(-4.10482 - 2.57945i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-3.49454 + 1.13545i) q^{17} -1.70061i q^{18} +(-0.309017 - 0.951057i) q^{19} +(-1.18973 + 1.89329i) q^{20} +(0.505371 - 1.55537i) q^{21} +(-3.99942 - 1.29949i) q^{22} +(3.86939 + 5.32576i) q^{23} -2.16809 q^{24} +(4.40280 + 2.36968i) q^{25} +2.97007 q^{26} +(1.65590 + 2.27915i) q^{27} +(-0.717393 - 0.233095i) q^{28} +(-1.63331 + 5.02681i) q^{29} +(0.325933 + 4.83703i) q^{30} +(-1.39321 - 4.28785i) q^{31} +1.00000i q^{32} +(-8.67110 + 2.81741i) q^{33} +(2.97264 + 2.15975i) q^{34} +(-0.412190 + 1.63555i) q^{35} +(-1.37582 + 0.999595i) q^{36} +(-4.33184 + 5.96227i) q^{37} +(-0.587785 + 0.809017i) q^{38} +(5.20956 - 3.78496i) q^{39} +(2.23101 - 0.150332i) q^{40} +(-0.0475586 - 0.0345533i) q^{41} +(-1.55537 + 0.505371i) q^{42} -2.88803i q^{43} +(1.29949 + 3.99942i) q^{44} +(2.43693 + 2.91920i) q^{45} +(2.03426 - 6.26081i) q^{46} +(7.19992 + 2.33940i) q^{47} +(1.27437 + 1.75402i) q^{48} +6.43101 q^{49} +(-0.670784 - 4.95480i) q^{50} +7.96638 q^{51} +(-1.74576 - 2.40283i) q^{52} +(-1.55154 - 0.504127i) q^{53} +(0.870560 - 2.67931i) q^{54} +(8.72739 - 3.50042i) q^{55} +(0.233095 + 0.717393i) q^{56} +2.16809i q^{57} +(5.02681 - 1.63331i) q^{58} +(8.90147 + 6.46730i) q^{59} +(3.72166 - 3.10682i) q^{60} +(7.37967 - 5.36164i) q^{61} +(-2.65003 + 3.64746i) q^{62} +(-0.754006 + 1.03780i) q^{63} +(0.809017 - 0.587785i) q^{64} +(-5.09830 + 4.25603i) q^{65} +(7.37608 + 5.35904i) q^{66} +(0.851900 - 0.276799i) q^{67} -3.67438i q^{68} +(-4.41046 - 13.5740i) q^{69} +(1.56547 - 0.627885i) q^{70} +(2.94623 - 9.06758i) q^{71} +(1.61738 + 0.525518i) q^{72} +(0.821517 + 1.13072i) q^{73} +7.36977 q^{74} +(-7.49082 - 7.83600i) q^{75} +1.00000 q^{76} +(1.86449 + 2.56625i) q^{77} +(-6.12420 - 1.98987i) q^{78} +(-2.70227 + 8.31673i) q^{79} +(-1.43298 - 1.71656i) q^{80} +(-3.46400 - 10.6611i) q^{81} +0.0587856i q^{82} +(5.37953 - 1.74791i) q^{83} +(1.32308 + 0.961274i) q^{84} +(-8.19757 + 0.552377i) q^{85} +(-2.33646 + 1.69754i) q^{86} +(6.73568 - 9.27087i) q^{87} +(2.47178 - 3.40211i) q^{88} +(-4.07547 + 2.96100i) q^{89} +(0.929291 - 3.68739i) q^{90} +(-1.81249 - 1.31685i) q^{91} +(-6.26081 + 2.03426i) q^{92} +9.77485i q^{93} +(-2.33940 - 7.19992i) q^{94} +(-0.150332 - 2.23101i) q^{95} +(0.669976 - 2.06198i) q^{96} +(7.81260 + 2.53847i) q^{97} +(-3.78005 - 5.20280i) q^{98} +7.15148 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9}+O(q^{10}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9	\( 96 q + 24 q^{4} + 8 q^{5} - 6 q^{6} + 34 q^{9} - 24 q^{11} + 10 q^{12} + 10 q^{14} - 8 q^{15} - 24 q^{16} + 30 q^{17} + 24 q^{19} + 2 q^{20} - 24 q^{24} - 60 q^{25} + 84 q^{26} - 30 q^{27} - 10 q^{28} - 4 q^{29} + 16 q^{30} - 14 q^{31} + 100 q^{33} + 8 q^{34} + 42 q^{35} - 34 q^{36} - 30 q^{37} + 32 q^{39} + 12 q^{41} + 10 q^{42} + 4 q^{44} - 18 q^{45} - 10 q^{46} + 10 q^{48} - 132 q^{49} - 36 q^{50} + 36 q^{51} + 30 q^{53} + 24 q^{54} - 4 q^{55} - 10 q^{56} + 60 q^{58} + 16 q^{59} + 8 q^{60} + 42 q^{61} - 110 q^{63} + 24 q^{64} + 12 q^{65} - 20 q^{66} + 130 q^{67} - 8 q^{69} + 20 q^{70} - 8 q^{71} - 120 q^{73} - 124 q^{74} - 24 q^{75} + 96 q^{76} - 50 q^{78} + 4 q^{79} - 2 q^{80} - 10 q^{81} - 70 q^{83} + 52 q^{85} - 44 q^{86} - 70 q^{87} + 10 q^{88} - 26 q^{89} + 32 q^{90} - 4 q^{91} - 10 q^{92} + 10 q^{94} + 2 q^{95} - 6 q^{96} - 10 q^{97} - 60 q^{98} - 184 q^{99}+O(q^{100}) \) 96 * q + 24 * q^4 + 8 * q^5 - 6 * q^6 + 34 * q^9 - 24 * q^11 + 10 * q^12 + 10 * q^14 - 8 * q^15 - 24 * q^16 + 30 * q^17 + 24 * q^19 + 2 * q^20 - 24 * q^24 - 60 * q^25 + 84 * q^26 - 30 * q^27 - 10 * q^28 - 4 * q^29 + 16 * q^30 - 14 * q^31 + 100 * q^33 + 8 * q^34 + 42 * q^35 - 34 * q^36 - 30 * q^37 + 32 * q^39 + 12 * q^41 + 10 * q^42 + 4 * q^44 - 18 * q^45 - 10 * q^46 + 10 * q^48 - 132 * q^49 - 36 * q^50 + 36 * q^51 + 30 * q^53 + 24 * q^54 - 4 * q^55 - 10 * q^56 + 60 * q^58 + 16 * q^59 + 8 * q^60 + 42 * q^61 - 110 * q^63 + 24 * q^64 + 12 * q^65 - 20 * q^66 + 130 * q^67 - 8 * q^69 + 20 * q^70 - 8 * q^71 - 120 * q^73 - 124 * q^74 - 24 * q^75 + 96 * q^76 - 50 * q^78 + 4 * q^79 - 2 * q^80 - 10 * q^81 - 70 * q^83 + 52 * q^85 - 44 * q^86 - 70 * q^87 + 10 * q^88 - 26 * q^89 + 32 * q^90 - 4 * q^91 - 10 * q^92 + 10 * q^94 + 2 * q^95 - 6 * q^96 - 10 * q^97 - 60 * q^98 - 184 * q^99

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