LMFDB - Embedded newform 430.2.l.a.7.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [430,2,Mod(7,430)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(430, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([3, 10]))

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

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

chi := DirichletCharacter("430.7");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 430 = 2 \cdot 5 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	430.l (of order $12$, 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:	$3.43356728692$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$22$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			7.11
Character	$\chi$	$=$	430.7
Dual form			430.2.l.a.123.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.707107 + 0.707107i) q^{2} +(0.867639 - 3.23807i) q^{3} -1.00000i q^{4} +(-1.13496 + 1.92662i) q^{5} +(1.67615 + 2.90318i) q^{6} +(0.0566213 + 0.211314i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-7.13424 - 4.11896i) q^{9} +O(q^{10})$	\(q+(-0.707107 + 0.707107i) q^{2} +(0.867639 - 3.23807i) q^{3} -1.00000i q^{4} +(-1.13496 + 1.92662i) q^{5} +(1.67615 + 2.90318i) q^{6} +(0.0566213 + 0.211314i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-7.13424 - 4.11896i) q^{9} +(-0.559792 - 2.16486i) q^{10} -4.84987 q^{11} +(-3.23807 - 0.867639i) q^{12} +(-1.44849 - 5.40583i) q^{13} +(-0.189459 - 0.109384i) q^{14} +(5.25381 + 5.34669i) q^{15} -1.00000 q^{16} +(-1.14267 + 0.306177i) q^{17} +(7.95722 - 2.13213i) q^{18} +(1.79750 + 3.11336i) q^{19} +(1.92662 + 1.13496i) q^{20} +0.733376 q^{21} +(3.42937 - 3.42937i) q^{22} +(1.10896 + 0.297144i) q^{23} +(2.90318 - 1.67615i) q^{24} +(-2.42374 - 4.37327i) q^{25} +(4.84674 + 2.79827i) q^{26} +(-12.4161 + 12.4161i) q^{27} +(0.211314 - 0.0566213i) q^{28} +(0.885696 - 1.53407i) q^{29} +(-7.49568 - 0.0656739i) q^{30} +(-5.14389 - 8.90948i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-4.20793 + 15.7042i) q^{33} +(0.591488 - 1.02449i) q^{34} +(-0.471384 - 0.130744i) q^{35} +(-4.11896 + 7.13424i) q^{36} +(7.40165 + 1.98327i) q^{37} +(-3.47250 - 0.930455i) q^{38} -18.7613 q^{39} +(-2.16486 + 0.559792i) q^{40} -3.14287 q^{41} +(-0.518575 + 0.518575i) q^{42} +(-5.90176 + 2.85818i) q^{43} +4.84987i q^{44} +(16.0327 - 9.07015i) q^{45} +(-0.994263 + 0.574038i) q^{46} +(4.32054 + 4.32054i) q^{47} +(-0.867639 + 3.23807i) q^{48} +(6.02073 - 3.47607i) q^{49} +(4.80621 + 1.37852i) q^{50} +3.96569i q^{51} +(-5.40583 + 1.44849i) q^{52} +(-4.38106 - 1.17390i) q^{53} -17.5591i q^{54} +(5.50439 - 9.34386i) q^{55} +(-0.109384 + 0.189459i) q^{56} +(11.6409 - 3.11916i) q^{57} +(0.458470 + 1.71103i) q^{58} -7.30492i q^{59} +(5.34669 - 5.25381i) q^{60} +(1.19184 + 0.688109i) q^{61} +(9.93724 + 2.66268i) q^{62} +(0.466442 - 1.74078i) q^{63} +1.00000i q^{64} +(12.0590 + 3.34470i) q^{65} +(-8.12911 - 14.0800i) q^{66} +(0.167548 - 0.625297i) q^{67} +(0.306177 + 1.14267i) q^{68} +(1.92435 - 3.33307i) q^{69} +(0.425769 - 0.240869i) q^{70} +(-3.49999 - 2.02072i) q^{71} +(-2.13213 - 7.95722i) q^{72} +(12.0591 - 3.23121i) q^{73} +(-6.63614 + 3.83138i) q^{74} +(-16.2639 + 4.05385i) q^{75} +(3.11336 - 1.79750i) q^{76} +(-0.274606 - 1.02484i) q^{77} +(13.2662 - 13.2662i) q^{78} +(-3.12514 - 1.80430i) q^{79} +(1.13496 - 1.92662i) q^{80} +(17.0748 + 29.5744i) q^{81} +(2.22235 - 2.22235i) q^{82} +(10.6336 + 2.84927i) q^{83} -0.733376i q^{84} +(0.706992 - 2.54899i) q^{85} +(2.15214 - 6.19421i) q^{86} +(-4.19897 - 4.19897i) q^{87} +(-3.42937 - 3.42937i) q^{88} +(-5.30914 - 9.19570i) q^{89} +(-4.92329 + 17.7504i) q^{90} +(1.06031 - 0.612171i) q^{91} +(0.297144 - 1.10896i) q^{92} +(-33.3126 + 8.92609i) q^{93} -6.11017 q^{94} +(-8.03836 - 0.0704286i) q^{95} +(-1.67615 - 2.90318i) q^{96} +(-9.18814 - 9.18814i) q^{97} +(-1.79935 + 6.71525i) q^{98} +(34.6001 + 19.9764i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q + 4 q^{6} + 12 q^{7}+O(q^{10}) $ 88 * q + 4 * q^6 + 12 * q^7	$ 88 q + 4 q^{6} + 12 q^{7} + 16 q^{13} - 88 q^{16} + 4 q^{17} - 16 q^{21} + 12 q^{23} - 8 q^{25} + 12 q^{28} - 36 q^{30} - 40 q^{31} + 12 q^{33} - 40 q^{35} - 40 q^{36} + 16 q^{38} - 56 q^{41} - 56 q^{43} + 24 q^{46} + 72 q^{47} + 24 q^{50} - 16 q^{52} + 20 q^{53} + 24 q^{55} - 8 q^{56} + 20 q^{57} + 8 q^{60} + 72 q^{61} + 36 q^{62} - 40 q^{66} - 16 q^{67} + 4 q^{68} + 24 q^{71} + 60 q^{73} - 48 q^{76} - 48 q^{77} + 40 q^{78} + 28 q^{81} + 20 q^{86} - 64 q^{87} - 8 q^{90} + 48 q^{91} - 12 q^{92} - 108 q^{93} + 4 q^{95} - 4 q^{96} - 48 q^{97} - 96 q^{98}+O(q^{100}) $ 88 * q + 4 * q^6 + 12 * q^7 + 16 * q^13 - 88 * q^16 + 4 * q^17 - 16 * q^21 + 12 * q^23 - 8 * q^25 + 12 * q^28 - 36 * q^30 - 40 * q^31 + 12 * q^33 - 40 * q^35 - 40 * q^36 + 16 * q^38 - 56 * q^41 - 56 * q^43 + 24 * q^46 + 72 * q^47 + 24 * q^50 - 16 * q^52 + 20 * q^53 + 24 * q^55 - 8 * q^56 + 20 * q^57 + 8 * q^60 + 72 * q^61 + 36 * q^62 - 40 * q^66 - 16 * q^67 + 4 * q^68 + 24 * q^71 + 60 * q^73 - 48 * q^76 - 48 * q^77 + 40 * q^78 + 28 * q^81 + 20 * q^86 - 64 * q^87 - 8 * q^90 + 48 * q^91 - 12 * q^92 - 108 * q^93 + 4 * q^95 - 4 * q^96 - 48 * q^97 - 96 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/430\mathbb{Z}\right)^\times$.

$n$	$87$	$261$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−0.707107	+	0.707107i	−0.500000	+	0.500000i
$2$	−0.707107	+	0.707107i	−0.500000	+	0.500000i
$3$	0.867639	−	3.23807i	0.500932	−	1.86950i	0.00704686	−	0.999975i	$-0.497757\pi$
$3$	0.867639	−	3.23807i	0.500932	−	1.86950i	0.493885	−	0.869527i	$-0.335576\pi$
$4$		−	1.00000i		−	0.500000i
$5$	−1.13496	+	1.92662i	−0.507568	+	0.861612i
$5$	−1.13496	+	1.92662i	−0.507568	+	0.861612i
$6$	1.67615	+	2.90318i	0.684285	+	1.18522i
$7$	0.0566213	+	0.211314i	0.0214009	+	0.0798691i	0.975800	−	0.218663i	$-0.0701696\pi$
$7$	0.0566213	+	0.211314i	0.0214009	+	0.0798691i	−0.954400	+	0.298532i	$0.903503\pi$
$8$	0.707107	+	0.707107i	0.250000	+	0.250000i
$9$	−7.13424	−	4.11896i	−2.37808	−	1.37299i
$10$	−0.559792	−	2.16486i	−0.177022	−	0.684590i
$11$	−4.84987			−1.46229			−0.731145	−	0.682222i	$-0.761014\pi$
$11$	−4.84987			−1.46229			−0.731145	+	0.682222i	$0.761014\pi$
$12$	−3.23807	−	0.867639i	−0.934751	−	0.250466i
$13$	−1.44849	−	5.40583i	−0.401739	−	1.49931i	−0.809992	−	0.586440i	$-0.800529\pi$
$13$	−1.44849	−	5.40583i	−0.401739	−	1.49931i	0.408254	−	0.912868i	$-0.366138\pi$
$14$	−0.189459	−	0.109384i	−0.0506350	−	0.0292341i
$15$	5.25381	+	5.34669i	1.35653	+	1.38051i
$16$	−1.00000			−0.250000
$17$	−1.14267	+	0.306177i	−0.277138	+	0.0742588i	−0.394711	−	0.918805i	$-0.629155\pi$
$17$	−1.14267	+	0.306177i	−0.277138	+	0.0742588i	0.117573	+	0.993064i	$0.462489\pi$
$18$	7.95722	−	2.13213i	1.87553	−	0.502548i
$19$	1.79750	+	3.11336i	0.412375	+	0.714254i	0.995149	−	0.0983799i	$-0.0313660\pi$
$19$	1.79750	+	3.11336i	0.412375	+	0.714254i	−0.582774	+	0.812634i	$0.698033\pi$
$20$	1.92662	+	1.13496i	0.430806	+	0.253784i
$21$	0.733376			0.160036
$22$	3.42937	−	3.42937i	0.731145	−	0.731145i
$23$	1.10896	+	0.297144i	0.231233	+	0.0619588i	0.372575	−	0.928002i	$-0.378475\pi$
$23$	1.10896	+	0.297144i	0.231233	+	0.0619588i	−0.141342	+	0.989961i	$0.545142\pi$
$24$	2.90318	−	1.67615i	0.592609	−	0.342143i
$25$	−2.42374	−	4.37327i	−0.484749	−	0.874653i
$26$	4.84674	+	2.79827i	0.950524	+	0.548785i
$27$	−12.4161	+	12.4161i	−2.38949	+	2.38949i
$28$	0.211314	−	0.0566213i	0.0399345	−	0.0107004i
$29$	0.885696	−	1.53407i	0.164470	−	0.284870i	−0.771997	−	0.635626i	$-0.780742\pi$
$29$	0.885696	−	1.53407i	0.164470	−	0.284870i	0.936467	+	0.350756i	$0.114075\pi$
$30$	−7.49568	−	0.0656739i	−1.36852	−	0.0119904i
$31$	−5.14389	−	8.90948i	−0.923871	−	1.60019i	−0.793368	−	0.608743i	$-0.791674\pi$
$31$	−5.14389	−	8.90948i	−0.923871	−	1.60019i	−0.130503	−	0.991448i	$-0.541659\pi$
$32$	0.707107	−	0.707107i	0.125000	−	0.125000i
$33$	−4.20793	+	15.7042i	−0.732507	+	2.73376i
$34$	0.591488	−	1.02449i	0.101439	−	0.175698i
$35$	−0.471384	−	0.130744i	−0.0796785	−	0.0220998i
$36$	−4.11896	+	7.13424i	−0.686493	+	1.18904i
$37$	7.40165	+	1.98327i	1.21682	+	0.326047i	0.809436	−	0.587208i	$-0.199773\pi$
$37$	7.40165	+	1.98327i	1.21682	+	0.326047i	0.407388	+	0.913255i	$0.366440\pi$
$38$	−3.47250	−	0.930455i	−0.563315	−	0.150940i
$39$	−18.7613			−3.00420
$40$	−2.16486	+	0.559792i	−0.342295	+	0.0885108i
$41$	−3.14287			−0.490834			−0.245417	−	0.969418i	$-0.578925\pi$
$41$	−3.14287			−0.490834			−0.245417	+	0.969418i	$0.578925\pi$
$42$	−0.518575	+	0.518575i	−0.0800179	+	0.0800179i
$43$	−5.90176	+	2.85818i	−0.900011	+	0.435868i
$43$	−5.90176	+	2.85818i	−0.900011	+	0.435868i
$44$			4.84987i			0.731145i
$45$	16.0327	−	9.07015i	2.39002	−	1.35210i
$46$	−0.994263	+	0.574038i	−0.146596	+	0.0846373i
$47$	4.32054	+	4.32054i	0.630216	+	0.630216i	0.948122	−	0.317906i	$-0.102980\pi$
$47$	4.32054	+	4.32054i	0.630216	+	0.630216i	−0.317906	+	0.948122i	$0.602980\pi$
$48$	−0.867639	+	3.23807i	−0.125233	+	0.467376i
$49$	6.02073	−	3.47607i	0.860104	−	0.496581i
$50$	4.80621	+	1.37852i	0.679701	+	0.194952i
$51$			3.96569i			0.555308i
$52$	−5.40583	+	1.44849i	−0.749654	+	0.200869i
$53$	−4.38106	−	1.17390i	−0.601785	−	0.161248i	−0.0549515	−	0.998489i	$-0.517500\pi$
$53$	−4.38106	−	1.17390i	−0.601785	−	0.161248i	−0.546834	+	0.837241i	$0.684167\pi$
$54$		−	17.5591i		−	2.38949i
$55$	5.50439	−	9.34386i	0.742212	−	1.25993i
$56$	−0.109384	+	0.189459i	−0.0146171	+	0.0253175i
$57$	11.6409	−	3.11916i	1.54187	−	0.413143i
$58$	0.458470	+	1.71103i	0.0602000	+	0.224670i
$59$		−	7.30492i		−	0.951020i	−0.879710	−	0.475510i	$-0.842264\pi$
$59$		−	7.30492i		−	0.951020i	0.879710	−	0.475510i	$-0.157736\pi$
$60$	5.34669	−	5.25381i	0.690254	−	0.678264i
$61$	1.19184	+	0.688109i	0.152599	+	0.0881033i	0.574355	−	0.818606i	$-0.305253\pi$
$61$	1.19184	+	0.688109i	0.152599	+	0.0881033i	−0.421756	+	0.906709i	$0.638586\pi$
$62$	9.93724	+	2.66268i	1.26203	+	0.338160i
$63$	0.466442	−	1.74078i	0.0587661	−	0.219318i
$64$			1.00000i			0.125000i
$65$	12.0590	+	3.34470i	1.49573	+	0.414859i
$66$	−8.12911	−	14.0800i	−1.00062	−	1.73313i
$67$	0.167548	−	0.625297i	0.0204692	−	0.0763922i	−0.954936	−	0.296813i	$-0.904076\pi$
$67$	0.167548	−	0.625297i	0.0204692	−	0.0763922i	0.975405	+	0.220421i	$0.0707430\pi$
$68$	0.306177	+	1.14267i	0.0371294	+	0.138569i
$69$	1.92435	−	3.33307i	0.231664	−	0.401254i
$70$	0.425769	−	0.240869i	0.0508891	−	0.0287894i
$71$	−3.49999	−	2.02072i	−0.415372	−	0.239815i	0.277723	−	0.960661i	$-0.410420\pi$
$71$	−3.49999	−	2.02072i	−0.415372	−	0.239815i	−0.693095	+	0.720846i	$0.743753\pi$
$72$	−2.13213	−	7.95722i	−0.251274	−	0.937767i
$73$	12.0591	−	3.23121i	1.41141	−	0.378185i	0.528979	−	0.848635i	$-0.322575\pi$
$73$	12.0591	−	3.23121i	1.41141	−	0.378185i	0.882427	+	0.470450i	$0.155908\pi$
$74$	−6.63614	+	3.83138i	−0.771435	+	0.445388i
$75$	−16.2639	+	4.05385i	−1.87799	+	0.468098i
$76$	3.11336	−	1.79750i	0.357127	−	0.206187i
$77$	−0.274606	−	1.02484i	−0.0312943	−	0.116792i
$78$	13.2662	−	13.2662i	1.50210	−	1.50210i
$79$	−3.12514	−	1.80430i	−0.351606	−	0.203000i	0.313786	−	0.949494i	$-0.398402\pi$
$79$	−3.12514	−	1.80430i	−0.351606	−	0.203000i	−0.665392	+	0.746494i	$0.731736\pi$
$80$	1.13496	−	1.92662i	0.126892	−	0.215403i
$81$	17.0748	+	29.5744i	1.89720	+	3.28604i
$82$	2.22235	−	2.22235i	0.245417	−	0.245417i
$83$	10.6336	+	2.84927i	1.16719	+	0.312748i	0.789835	−	0.613320i	$-0.210166\pi$
$83$	10.6336	+	2.84927i	1.16719	+	0.312748i	0.377357	+	0.926068i	$0.376833\pi$
$84$		−	0.733376i		−	0.0800179i
$85$	0.706992	−	2.54899i	0.0766840	−	0.276476i
$86$	2.15214	−	6.19421i	0.232071	−	0.667939i
$87$	−4.19897	−	4.19897i	−0.450176	−	0.450176i
$88$	−3.42937	−	3.42937i	−0.365573	−	0.365573i
$89$	−5.30914	−	9.19570i	−0.562768	−	0.974742i	−0.997254	−	0.0740635i	$-0.976403\pi$
$89$	−5.30914	−	9.19570i	−0.562768	−	0.974742i	0.434486	−	0.900679i	$-0.356930\pi$
$90$	−4.92329	+	17.7504i	−0.518960	+	1.87106i
$91$	1.06031	−	0.612171i	0.111151	−	0.0641730i
$92$	0.297144	−	1.10896i	0.0309794	−	0.115617i
$93$	−33.3126	+	8.92609i	−3.45436	+	0.925592i
$94$	−6.11017			−0.630216
$95$	−8.03836	−	0.0704286i	−0.824718	−	0.00722583i
$96$	−1.67615	−	2.90318i	−0.171071	−	0.296304i
$97$	−9.18814	−	9.18814i	−0.932915	−	0.932915i	0.0649725	−	0.997887i	$-0.479304\pi$
$97$	−9.18814	−	9.18814i	−0.932915	−	0.932915i	−0.997887	+	0.0649725i	$0.979304\pi$
$98$	−1.79935	+	6.71525i	−0.181761	+	0.678343i
$99$	34.6001	+	19.9764i	3.47745	+	2.00770i
$100$	−4.37327	+	2.42374i	−0.437327	+	0.242374i
$101$	4.26894	−	7.39402i	0.424775	−	0.735733i	−0.571624	−	0.820516i	$-0.693686\pi$
$101$	4.26894	−	7.39402i	0.424775	−	0.735733i	0.996399	+	0.0847831i	$0.0270197\pi$
$102$	−2.80417	−	2.80417i	−0.277654	−	0.277654i
$103$	0.846271	+	3.15833i	0.0833856	+	0.311199i	0.995004	−	0.0998393i	$-0.0318329\pi$
$103$	0.846271	+	3.15833i	0.0833856	+	0.311199i	−0.911618	+	0.411038i	$0.865166\pi$
$104$	2.79827	−	4.84674i	0.274393	−	0.475262i
$105$	−0.832350	+	1.41294i	−0.0812291	+	0.137889i
$106$	3.92795	−	2.26781i	0.381517	−	0.220269i
$107$	8.50253	+	8.50253i	0.821970	+	0.821970i	0.986390	−	0.164420i	$-0.0525752\pi$
$107$	8.50253	+	8.50253i	0.821970	+	0.821970i	−0.164420	+	0.986390i	$0.552575\pi$
$108$	12.4161	+	12.4161i	1.19474	+	1.19474i
$109$	6.34122	−	3.66110i	0.607378	−	0.350670i	−0.164560	−	0.986367i	$-0.552621\pi$
$109$	6.34122	−	3.66110i	0.607378	−	0.350670i	0.771939	+	0.635697i	$0.219287\pi$
$110$	2.71492	+	10.4993i	0.258857	+	1.00107i
$111$	12.8439	−	22.2463i	1.21909	−	2.11153i
$112$	−0.0566213	−	0.211314i	−0.00535021	−	0.0199673i
$113$	0.130775	+	0.130775i	0.0123023	+	0.0123023i	0.713231	−	0.700929i	$-0.247231\pi$
$113$	0.130775	+	0.130775i	0.0123023	+	0.0123023i	−0.700929	+	0.713231i	$0.747231\pi$
$114$	−6.02576	+	10.4369i	−0.564364	+	0.977508i
$115$	−1.83110	+	1.79929i	−0.170751	+	0.167785i
$116$	−1.53407	−	0.885696i	−0.142435	−	0.0822348i
$117$	−11.9325	+	44.5328i	−1.10316	+	4.11706i
$118$	5.16536	+	5.16536i	0.475510	+	0.475510i
$119$	−0.129399	−	0.224125i	−0.0118620	−	0.0205455i
$120$	−0.0656739	+	7.49568i	−0.00599518	+	0.684259i
$121$	12.5212			1.13829
$122$	−1.32932	+	0.356192i	−0.120351	+	0.0322481i
$123$	−2.72688	+	10.1769i	−0.245874	+	0.917616i
$124$	−8.90948	+	5.14389i	−0.800095	+	0.461935i
$125$	11.1765	+	0.293831i	0.999655	+	0.0262810i
$126$	0.901096	+	1.56074i	0.0802761	+	0.139042i
$127$	−11.7625	−	11.7625i	−1.04375	−	1.04375i	−0.998998	−	0.0447539i	$-0.985750\pi$
$127$	−11.7625	−	11.7625i	−1.04375	−	1.04375i	−0.0447539	−	0.998998i	$-0.514250\pi$
$128$	−0.707107	−	0.707107i	−0.0625000	−	0.0625000i
$129$	4.13439	+	21.5902i	0.364012	+	1.90091i
$130$	−10.8920	+	6.16192i	−0.955295	+	0.540436i
$131$		−	3.23980i		−	0.283063i	−0.989934	−	0.141531i	$-0.954797\pi$
$131$		−	3.23980i		−	0.283063i	0.989934	−	0.141531i	$-0.0452026\pi$
$132$	15.7042	+	4.20793i	1.36688	+	0.366254i
$133$	−0.556119	+	0.556119i	−0.0482217	+	0.0482217i
$134$	0.323677	+	0.560626i	0.0279615	+	0.0484307i
$135$	−9.82942	−	38.0130i	−0.845982	−	3.27164i
$136$	−1.02449	−	0.591488i	−0.0878491	−	0.0507197i
$137$	3.48373	−	3.48373i	0.297635	−	0.297635i	−0.542452	−	0.840087i	$-0.682504\pi$
$137$	3.48373	−	3.48373i	0.297635	−	0.297635i	0.840087	+	0.542452i	$0.182504\pi$
$138$	0.996116	+	3.71756i	0.0847950	+	0.316459i
$139$	−7.59832	+	4.38689i	−0.644481	+	0.372092i	−0.786339	−	0.617796i	$-0.788026\pi$
$139$	−7.59832	+	4.38689i	−0.644481	+	0.372092i	0.141857	+	0.989887i	$0.454693\pi$
$140$	−0.130744	+	0.471384i	−0.0110499	+	0.0398393i
$141$	17.7389	−	10.2416i	1.49388	−	0.862495i
$142$	3.90373	−	1.04600i	0.327594	−	0.0877784i
$143$	7.02498	+	26.2176i	0.587458	+	2.19242i
$144$	7.13424	+	4.11896i	0.594520	+	0.343247i
$145$	1.95035	+	3.44750i	0.161967	+	0.286300i
$146$	−6.24222	+	10.8119i	−0.516610	+	0.894795i
$147$	−6.03195	−	22.5115i	−0.497507	−	1.85672i
$148$	1.98327	−	7.40165i	0.163023	−	0.608412i
$149$	−0.154358	−	0.267355i	−0.0126455	−	0.0219026i	0.859633	−	0.510911i	$-0.170692\pi$
$149$	−0.154358	−	0.267355i	−0.0126455	−	0.0219026i	−0.872279	+	0.489009i	$0.837359\pi$
$150$	8.63381	−	14.3668i	0.704947	−	1.17305i
$151$		−	10.3355i		−	0.841090i	−0.907272	−	0.420545i	$-0.861839\pi$
$151$		−	10.3355i		−	0.841090i	0.907272	−	0.420545i	$-0.138161\pi$
$152$	−0.930455	+	3.47250i	−0.0754699	+	0.281657i
$153$	9.41320	+	2.52226i	0.761012	+	0.203913i
$154$	0.918850	+	0.530498i	0.0740430	+	0.0427487i
$155$	23.0033	+	0.201545i	1.84767	+	0.0161885i
$156$			18.7613i			1.50210i
$157$	−1.06385	−	3.97035i	−0.0849047	−	0.316869i	0.910391	−	0.413748i	$-0.135781\pi$
$157$	−1.06385	−	3.97035i	−0.0849047	−	0.316869i	−0.995296	+	0.0968793i	$0.969114\pi$
$158$	3.48564	−	0.933975i	0.277303	−	0.0743031i
$159$	−7.60237	+	13.1677i	−0.602907	+	1.04427i
$160$	0.559792	+	2.16486i	0.0442554	+	0.171147i
$161$			0.251162i			0.0197944i
$162$	−32.9859	−	8.83855i	−2.59162	−	0.694422i
$163$	1.08037	−	0.289485i	0.0846214	−	0.0226742i	−0.216260	−	0.976336i	$-0.569386\pi$
$163$	1.08037	−	0.289485i	0.0846214	−	0.0226742i	0.300881	+	0.953662i	$0.402719\pi$
$164$			3.14287i			0.245417i
$165$	−25.4803	−	25.9307i	−1.98364	−	2.01870i
$166$	−9.53385	+	5.50437i	−0.739970	+	0.427222i
$167$	1.91681	−	7.15362i	0.148327	−	0.553564i	−0.851258	−	0.524748i	$-0.824160\pi$
$167$	1.91681	−	7.15362i	0.148327	−	0.553564i	0.999585	−	0.0288161i	$-0.00917372\pi$
$168$	0.518575	+	0.518575i	0.0400089	+	0.0400089i
$169$	−15.8666	+	9.16058i	−1.22051	+	0.704660i
$170$	1.30249	+	2.30232i	0.0998962	+	0.176580i
$171$		−	29.6153i		−	2.26474i
$172$	2.85818	+	5.90176i	0.217934	+	0.450005i
$173$	3.41502	−	3.41502i	0.259639	−	0.259639i	−0.565268	−	0.824907i	$-0.691227\pi$
$173$	3.41502	−	3.41502i	0.259639	−	0.259639i	0.824907	+	0.565268i	$0.191227\pi$
$174$	5.93824			0.450176
$175$	0.786896	−	0.759791i	0.0594837	−	0.0574348i
$176$	4.84987			0.365573
$177$	−23.6539	−	6.33804i	−1.77793	−	0.476396i
$178$	10.2565	+	2.74821i	0.768755	+	0.205987i
$179$	−3.18744	+	5.52080i	−0.238240	+	0.412644i	−0.960209	−	0.279281i	$-0.909904\pi$
$179$	−3.18744	+	5.52080i	−0.238240	+	0.412644i	0.721969	+	0.691925i	$0.243237\pi$
$180$	−9.07015	−	16.0327i	−0.676049	−	1.19501i
$181$	−4.22576	+	7.31924i	−0.314099	+	0.544035i	−0.979245	−	0.202678i	$-0.935036\pi$
$181$	−4.22576	+	7.31924i	−0.314099	+	0.544035i	0.665147	+	0.746712i	$0.268369\pi$
$182$	−0.316883	+	1.18262i	−0.0234889	+	0.0876619i
$183$	3.26223	−	3.26223i	0.241151	−	0.241151i
$184$	0.574038	+	0.994263i	0.0423187	+	0.0732981i
$185$	−12.2216	+	12.0093i	−0.898547	+	0.882938i
$186$	17.2439	−	29.8673i	1.26438	−	2.18997i
$187$	5.54179	−	1.48492i	0.405255	−	0.108588i
$188$	4.32054	−	4.32054i	0.315108	−	0.315108i
$189$	−3.32672	−	1.92068i	−0.241983	−	0.139709i
$190$	5.73378	−	5.63418i	0.415972	−	0.408746i
$191$	−21.6023	+	12.4721i	−1.56309	+	0.902448i	−0.566144	+	0.824307i	$0.691565\pi$
$191$	−21.6023	+	12.4721i	−1.56309	+	0.902448i	−0.996942	+	0.0781416i	$0.975101\pi$
$192$	3.23807	+	0.867639i	0.233688	+	0.0626165i
$193$	11.4530	−	11.4530i	0.824401	−	0.824401i	−0.162334	−	0.986736i	$-0.551902\pi$
$193$	11.4530	−	11.4530i	0.824401	−	0.824401i	0.986736	+	0.162334i	$0.0519023\pi$
$194$	12.9940			0.932915
$195$	21.2932	−	36.1458i	1.52484	−	2.58846i
$196$	−3.47607	−	6.02073i	−0.248291	−	0.430052i
$197$	−18.4393	+	4.94080i	−1.31375	+	0.352018i	−0.846632	−	0.532178i	$-0.821374\pi$
$197$	−18.4393	+	4.94080i	−1.31375	+	0.352018i	−0.467116	+	0.884196i	$0.654707\pi$
$198$	−38.5914	+	10.3405i	−2.74257	+	0.734871i
$199$	−19.9039			−1.41095			−0.705475	−	0.708735i	$-0.749266\pi$
$199$	−19.9039			−1.41095			−0.705475	+	0.708735i	$0.749266\pi$
$200$	1.37852	−	4.80621i	0.0974761	−	0.339851i
$201$	−1.87939	−	1.08506i	−0.132562	−	0.0765345i
$202$	2.20977	+	8.24696i	0.155479	+	0.580254i
$203$	0.374319	+	0.100299i	0.0262721	+	0.00703958i
$204$	3.96569			0.277654
$205$	3.56703	−	6.05513i	0.249132	−	0.422908i
$206$	−2.83168	−	1.63487i	−0.197292	−	0.113907i
$207$	−6.68764	−	6.68764i	−0.464823	−	0.464823i
$208$	1.44849	+	5.40583i	0.100435	+	0.374827i
$209$	−8.71764	−	15.0994i	−0.603012	−	1.04445i
$210$	−0.410538	−	1.58766i	−0.0283298	−	0.109559i
$211$			10.8186i			0.744781i	0.928076	+	0.372391i	$0.121462\pi$
$211$			10.8186i			0.744781i	−0.928076	+	0.372391i	$0.878538\pi$
$212$	−1.17390	+	4.38106i	−0.0806240	+	0.300893i
$213$	−9.57996	+	9.57996i	−0.656408	+	0.656408i
$214$	−12.0244			−0.821970
$215$	1.19162	−	14.6144i	0.0812679	−	0.996692i
$216$	−17.5591			−1.19474
$217$	1.59144	−	1.59144i	0.108034	−	0.108034i
$218$	−1.89513	+	7.07271i	−0.128354	+	0.479024i
$219$		−	41.8516i		−	2.82807i
$220$	−9.34386	−	5.50439i	−0.629963	−	0.371106i
$221$	3.31028	+	5.73358i	0.222674	+	0.385682i
$222$	6.64850	+	24.8126i	0.446218	+	1.66531i
$223$	8.13057	+	8.13057i	0.544463	+	0.544463i	0.924834	−	0.380371i	$-0.124204\pi$
$223$	8.13057	+	8.13057i	0.544463	+	0.544463i	−0.380371	+	0.924834i	$0.624204\pi$
$224$	0.189459	+	0.109384i	0.0126587	+	0.00730853i
$225$	−0.721715	+	41.1833i	−0.0481144	+	2.74555i
$226$	−0.184944			−0.0123023
$227$	20.3200	+	5.44473i	1.34869	+	0.361379i	0.859650	−	0.510884i	$-0.170682\pi$
$227$	20.3200	+	5.44473i	1.34869	+	0.361379i	0.489036	+	0.872263i	$0.337349\pi$
$228$	−3.11916	−	11.6409i	−0.206572	−	0.770936i
$229$	6.97387	+	4.02637i	0.460846	+	0.266070i	0.712400	−	0.701774i	$-0.247608\pi$
$229$	6.97387	+	4.02637i	0.460846	+	0.266070i	−0.251554	+	0.967843i	$0.580942\pi$
$230$	0.0224916	−	2.56708i	0.00148305	−	0.169268i
$231$	−3.55678			−0.234019
$232$	1.71103	−	0.458470i	0.112335	−	0.0301000i
$233$	−12.6348	+	3.38549i	−0.827734	+	0.221791i	−0.647725	−	0.761874i	$-0.724279\pi$
$233$	−12.6348	+	3.38549i	−0.827734	+	0.221791i	−0.180009	+	0.983665i	$0.557613\pi$
$234$	−23.0519	−	39.9270i	−1.50695	−	2.61011i
$235$	−13.2277	+	3.42042i	−0.862878	+	0.223124i
$236$	−7.30492			−0.475510
$237$	−8.55396	+	8.55396i	−0.555639	+	0.555639i
$238$	0.249979	+	0.0669817i	0.0162037	+	0.00434178i
$239$	4.90962	−	2.83457i	0.317577	−	0.183353i	−0.332735	−	0.943020i	$-0.607971\pi$
$239$	4.90962	−	2.83457i	0.317577	−	0.183353i	0.650312	+	0.759667i	$0.274638\pi$
$240$	−5.25381	−	5.34669i	−0.339132	−	0.345127i
$241$	4.80122	+	2.77199i	0.309274	+	0.178559i	0.646602	−	0.762828i	$-0.276190\pi$
$241$	4.80122	+	2.77199i	0.309274	+	0.178559i	−0.337328	+	0.941387i	$0.609523\pi$
$242$	−8.85384	+	8.85384i	−0.569146	+	0.569146i
$243$	59.6964	−	15.9956i	3.82952	−	1.02612i
$244$	0.688109	−	1.19184i	0.0440517	−	0.0762997i
$245$	−0.136197	+	15.5449i	−0.00870133	+	0.993125i
$246$	−5.26793	−	9.12432i	−0.335871	−	0.581745i
$247$	14.2267	−	14.2267i	0.905221	−	0.905221i
$248$	2.66268	−	9.93724i	0.169080	−	0.631015i
$249$	18.4523	−	31.9603i	1.16937	−	2.02540i
$250$	−8.11073	+	7.69519i	−0.512968	+	0.486687i
$251$	−3.10678	+	5.38110i	−0.196098	+	0.339652i	−0.947260	−	0.320466i	$-0.896160\pi$
$251$	−3.10678	+	5.38110i	−0.196098	+	0.339652i	0.751162	+	0.660118i	$0.229494\pi$
$252$	−1.74078	−	0.466442i	−0.109659	−	0.0293831i
$253$	−5.37829	−	1.44111i	−0.338130	−	0.0906018i
$254$	16.6347			1.04375
$255$	−7.64039	−	4.50089i	−0.478460	−	0.281857i
$256$	1.00000			0.0625000
$257$	17.0239	−	17.0239i	1.06192	−	1.06192i	0.0639731	−	0.997952i	$-0.479623\pi$
$257$	17.0239	−	17.0239i	1.06192	−	1.06192i	0.997952	−	0.0639731i	$-0.0203772\pi$
$258$	−18.1900	−	12.3431i	−1.13246	−	0.768450i
$259$			1.67637i			0.104164i
$260$	3.34470	−	12.0590i	0.207429	−	0.747866i
$261$	−12.6375	+	7.29629i	−0.782244	+	0.451629i
$262$	2.29089	+	2.29089i	0.141531	+	0.141531i
$263$	2.64717	−	9.87939i	0.163232	−	0.609189i	−0.835027	−	0.550208i	$-0.814548\pi$
$263$	2.64717	−	9.87939i	0.163232	−	0.609189i	0.998259	−	0.0589808i	$-0.0187851\pi$
$264$	−14.0800	+	8.12911i	−0.866566	+	0.500312i
$265$	7.23399	−	7.10833i	0.444380	−	0.436661i
$266$		−	0.786471i		−	0.0482217i
$267$	−34.3828	+	9.21283i	−2.10419	+	0.563816i
$268$	−0.625297	−	0.167548i	−0.0381961	−	0.0102346i
$269$			13.1272i			0.800378i	0.916433	+	0.400189i	$0.131055\pi$
$269$			13.1272i			0.800378i	−0.916433	+	0.400189i	$0.868945\pi$
$270$	33.8297	+	19.9288i	2.05881	+	1.21283i
$271$	4.65980	−	8.07102i	0.283063	−	0.490279i	−0.689075	−	0.724690i	$-0.741983\pi$
$271$	4.65980	−	8.07102i	0.283063	−	0.490279i	0.972138	+	0.234411i	$0.0753161\pi$
$272$	1.14267	−	0.306177i	0.0692844	−	0.0185647i
$273$	−1.06229	−	3.96451i	−0.0642925	−	0.239943i
$274$			4.92673i			0.297635i
$275$	11.7548	+	21.2098i	0.708844	+	1.27900i
$276$	−3.33307	−	1.92435i	−0.200627	−	0.115832i
$277$	9.85583	+	2.64086i	0.592179	+	0.158674i	0.542449	−	0.840089i	$-0.317497\pi$
$277$	9.85583	+	2.64086i	0.592179	+	0.158674i	0.0497303	+	0.998763i	$0.484164\pi$
$278$	2.27082	−	8.47483i	0.136195	−	0.508287i
$279$			84.7499i			5.07385i
$280$	−0.240869	−	0.425769i	−0.0143947	−	0.0254446i
$281$	7.24758	+	12.5532i	0.432355	+	0.748860i	0.997076	−	0.0764218i	$-0.0243496\pi$
$281$	7.24758	+	12.5532i	0.432355	+	0.748860i	−0.564721	+	0.825282i	$0.691016\pi$
$282$	−5.30142	+	19.7852i	−0.315695	+	1.17819i
$283$	2.08708	+	7.78911i	0.124064	+	0.463014i	0.999805	−	0.0197682i	$-0.00629283\pi$
$283$	2.08708	+	7.78911i	0.124064	+	0.463014i	−0.875740	+	0.482783i	$0.839626\pi$
$284$	−2.02072	+	3.49999i	−0.119908	+	0.207686i
$285$	−7.20245	+	25.9677i	−0.426636	+	1.53819i
$286$	−23.5060	−	13.5712i	−1.38994	−	0.802483i
$287$	−0.177954	−	0.664132i	−0.0105043	−	0.0392025i
$288$	−7.95722	+	2.13213i	−0.468883	+	0.125637i
$289$	−13.5105	+	7.80028i	−0.794735	+	0.458840i
$290$	−3.81686	−	1.05865i	−0.224134	−	0.0621661i
$291$	−37.7239	+	21.7799i	−2.21141	+	1.27676i
$292$	−3.23121	−	12.0591i	−0.189092	−	0.705703i
$293$	0.130694	−	0.130694i	0.00763525	−	0.00763525i	−0.703279	−	0.710914i	$-0.748281\pi$
$293$	0.130694	−	0.130694i	0.00763525	−	0.00763525i	0.710914	+	0.703279i	$0.248281\pi$
$294$	20.1833	+	11.6528i	1.17711	+	0.679607i
$295$	14.0738	+	8.29077i	0.819410	+	0.482708i
$296$	3.83138	+	6.63614i	0.222694	+	0.385718i
$297$	60.2166	−	60.2166i	3.49412	−	3.49412i
$298$	0.298196	+	0.0799014i	0.0172740	+	0.00462857i
$299$		−	6.42525i		−	0.371582i
$300$	4.05385	+	16.2639i	0.234049	+	0.938996i
$301$	−0.938138	−	1.08529i	−0.0540734	−	0.0625551i
$302$	7.30829	+	7.30829i	0.420545	+	0.420545i
$303$	−20.2385	−	20.2385i	−1.16267	−	1.16267i
$304$	−1.79750	−	3.11336i	−0.103094	−	0.178564i
$305$	−2.67841	+	1.51525i	−0.153366	+	0.0867630i
$306$	−8.43964	+	4.87263i	−0.482462	+	0.278550i
$307$	−7.89562	+	29.4668i	−0.450627	+	1.68176i	0.250010	+	0.968243i	$0.419566\pi$
$307$	−7.89562	+	29.4668i	−0.450627	+	1.68176i	−0.700637	+	0.713518i	$0.747101\pi$
$308$	−1.02484	+	0.274606i	−0.0583959	+	0.0156471i
$309$	10.9612			0.623558
$310$	−16.4083	+	16.1233i	−0.931929	+	0.915741i
$311$	−7.71971	−	13.3709i	−0.437745	−	0.758196i	0.559770	−	0.828648i	$-0.310889\pi$
$311$	−7.71971	−	13.3709i	−0.437745	−	0.758196i	−0.997515	+	0.0704515i	$0.977556\pi$
$312$	−13.2662	−	13.2662i	−0.751051	−	0.751051i
$313$	−8.61158	+	32.1388i	−0.486755	+	1.81659i	0.0852692	+	0.996358i	$0.472825\pi$
$313$	−8.61158	+	32.1388i	−0.486755	+	1.81659i	−0.572024	+	0.820237i	$0.693842\pi$
$314$	3.55972	+	2.05521i	0.200887	+	0.115982i
$315$	2.82444	+	2.87437i	0.159139	+	0.161953i
$316$	−1.80430	+	3.12514i	−0.101500	+	0.175803i
$317$	−10.5454	−	10.5454i	−0.592291	−	0.592291i	0.345959	−	0.938250i	$-0.387554\pi$
$317$	−10.5454	−	10.5454i	−0.592291	−	0.592291i	−0.938250	+	0.345959i	$0.887554\pi$
$318$	−3.93527	−	14.6866i	−0.220679	−	0.823586i
$319$	−4.29551	+	7.44004i	−0.240502	+	0.416562i
$320$	−1.92662	−	1.13496i	−0.107701	−	0.0634460i
$321$	34.9089	−	20.1547i	1.94843	−	1.12492i
$322$	−0.177599	−	0.177599i	−0.00989719	−	0.00989719i
$323$	−3.00718	−	3.00718i	−0.167324	−	0.167324i
$324$	29.5744	−	17.0748i	1.64302	−	0.948598i
$325$	−20.1304	+	19.4370i	−1.11663	+	1.07817i
$326$	−0.559242	+	0.968636i	−0.0309736	+	0.0536478i
$327$	−6.35303	−	23.7098i	−0.351324	−	1.31116i
$328$	−2.22235	−	2.22235i	−0.122709	−	0.122709i
$329$	−0.668355	+	1.15762i	−0.0368476	+	0.0638219i
$330$	36.3531	+	0.318510i	2.00117	+	0.0175334i
$331$	−2.64130	−	1.52495i	−0.145179	−	0.0838190i	0.425651	−	0.904887i	$-0.360045\pi$
$331$	−2.64130	−	1.52495i	−0.145179	−	0.0838190i	−0.570830	+	0.821068i	$0.693378\pi$
$332$	2.84927	−	10.6336i	0.156374	−	0.583596i
$333$	−44.6362	−	44.6362i	−2.44605	−	2.44605i
$334$	3.70299	+	6.41376i	0.202618	+	0.350945i
$335$	1.01455	+	1.03249i	0.0554308	+	0.0564108i
$336$	−0.733376			−0.0400089
$337$	−8.86299	+	2.37483i	−0.482798	+	0.129365i	−0.492005	−	0.870592i	$-0.663736\pi$
$337$	−8.86299	+	2.37483i	−0.482798	+	0.129365i	0.00920724	+	0.999958i	$0.497069\pi$
$338$	4.74187	−	17.6969i	0.257924	−	0.962584i
$339$	0.536925	−	0.309994i	0.0291617	−	0.0168365i
$340$	−2.54899	−	0.706992i	−0.138238	−	0.0383420i
$341$	24.9472	+	43.2098i	1.35097	+	2.33994i
$342$	20.9412	+	20.9412i	1.13237	+	1.13237i
$343$	2.15829	+	2.15829i	0.116537	+	0.116537i
$344$	−6.19421	−	2.15214i	−0.333970	−	0.116036i
$345$	4.23751	+	7.49038i	0.228140	+	0.403269i
$346$			4.82957i			0.259639i
$347$	−10.3256	−	2.76674i	−0.554308	−	0.148526i	−0.0292180	−	0.999573i	$-0.509302\pi$
$347$	−10.3256	−	2.76674i	−0.554308	−	0.148526i	−0.525090	+	0.851047i	$0.675968\pi$
$348$	−4.19897	+	4.19897i	−0.225088	+	0.225088i
$349$	−14.4727	−	25.0674i	−0.774705	−	1.34183i	−0.934960	−	0.354753i	$-0.884565\pi$
$349$	−14.4727	−	25.0674i	−0.774705	−	1.34183i	0.160254	−	0.987076i	$-0.448769\pi$
$350$	−0.0191660	+	1.09367i	−0.00102447	+	0.0584592i
$351$	85.1042	+	49.1349i	4.54253	+	2.62263i
$352$	−3.42937	+	3.42937i	−0.182786	+	0.182786i
$353$	7.72178	+	28.8181i	0.410989	+	1.53383i	0.792737	+	0.609564i	$0.208656\pi$
$353$	7.72178	+	28.8181i	0.410989	+	1.53383i	−0.381748	+	0.924266i	$0.624678\pi$
$354$	21.2075	−	12.2441i	1.12717	−	0.650769i
$355$	7.86549	−	4.44972i	0.417457	−	0.236167i
$356$	−9.19570	+	5.30914i	−0.487371	+	0.281384i
$357$	−0.838005	+	0.224543i	−0.0443519	+	0.0118841i
$358$	−1.64994	−	6.15766i	−0.0872020	−	0.325442i
$359$	−23.2106	−	13.4007i	−1.22501	−	0.707260i	−0.259028	−	0.965870i	$-0.583402\pi$
$359$	−23.2106	−	13.4007i	−1.22501	−	0.707260i	−0.965982	+	0.258610i	$0.916736\pi$
$360$	17.7504	+	4.92329i	0.935529	+	0.259480i
$361$	3.03798	−	5.26194i	0.159894	−	0.276944i
$362$	−2.18742	−	8.16355i	−0.114968	−	0.429067i
$363$	10.8639	−	40.5446i	0.570207	−	2.12804i
$364$	−0.612171	−	1.06031i	−0.0320865	−	0.0555754i
$365$	−7.46118	+	26.9005i	−0.390536	+	1.40804i
$366$			4.61350i			0.241151i
$367$	3.70120	−	13.8131i	0.193201	−	0.721036i	−0.799524	−	0.600634i	$-0.794915\pi$
$367$	3.70120	−	13.8131i	0.193201	−	0.721036i	0.992725	−	0.120402i	$-0.0384184\pi$
$368$	−1.10896	−	0.297144i	−0.0578084	−	0.0154897i
$369$	22.4220	+	12.9454i	1.16724	+	0.673909i
$370$	0.150119	−	17.1338i	0.00780430	−	0.890743i
$371$		−	0.992247i		−	0.0515149i
$372$	8.92609	+	33.3126i	0.462796	+	1.72718i
$373$	25.9493	−	6.95309i	1.34360	−	0.360017i	0.485834	−	0.874051i	$-0.338516\pi$
$373$	25.9493	−	6.95309i	1.34360	−	0.360017i	0.857770	+	0.514034i	$0.171849\pi$
$374$	−2.86864	+	4.96863i	−0.148334	+	0.256922i
$375$	10.6486	−	35.9353i	0.549891	−	1.85569i
$376$			6.11017i			0.315108i
$377$	−9.57585	−	2.56584i	−0.493181	−	0.132148i
$378$	3.71047	−	0.994218i	0.190846	−	0.0511371i
$379$			27.4419i			1.40959i	0.709409	+	0.704797i	$0.248962\pi$
$379$			27.4419i			1.40959i	−0.709409	+	0.704797i	$0.751038\pi$
$380$	−0.0704286	+	8.03836i	−0.00361291	+	0.412359i
$381$	−48.2934	+	27.8822i	−2.47415	+	1.42845i
$382$	6.45602	−	24.0942i	0.330319	−	1.23277i
$383$	−17.5899	−	17.5899i	−0.898800	−	0.898800i	0.0965300	−	0.995330i	$-0.469226\pi$
$383$	−17.5899	−	17.5899i	−0.898800	−	0.898800i	−0.995330	+	0.0965300i	$0.969226\pi$
$384$	−2.90318	+	1.67615i	−0.148152	+	0.0855357i
$385$	2.28615	+	0.634091i	0.116513	+	0.0323163i
$386$			16.1969i			0.824401i
$387$	53.8773	+	3.91818i	2.73874	+	0.199172i
$388$	−9.18814	+	9.18814i	−0.466457	+	0.466457i
$389$	−16.2279			−0.822789			−0.411394	−	0.911457i	$-0.634958\pi$
$389$	−16.2279			−0.822789			−0.411394	+	0.911457i	$0.634958\pi$
$390$	10.5024	+	40.6155i	0.531809	+	2.05665i
$391$	−1.35815			−0.0686844
$392$	6.71525	+	1.79935i	0.339171	+	0.0908807i
$393$	−10.4907	−	2.81098i	−0.529187	−	0.141795i
$394$	9.54490	−	16.5323i	0.480865	−	0.832883i
$395$	7.02311	−	3.97316i	0.353371	−	0.199911i
$396$	19.9764	−	34.6001i	1.00385	−	1.73872i
$397$	2.32226	−	8.66678i	0.116551	−	0.434973i	−0.882847	−	0.469660i	$-0.844377\pi$
$397$	2.32226	−	8.66678i	0.116551	−	0.434973i	0.999398	+	0.0346864i	$0.0110433\pi$
$398$	14.0742	−	14.0742i	0.705475	−	0.705475i
$399$	1.31824	+	2.28327i	0.0659948	+	0.114306i
$400$	2.42374	+	4.37327i	0.121187	+	0.218663i
$401$	8.36776	−	14.4934i	0.417866	−	0.723765i	−0.577859	−	0.816137i	$-0.696112\pi$
$401$	8.36776	−	14.4934i	0.417866	−	0.723765i	0.995725	+	0.0923719i	$0.0294449\pi$
$402$	2.09618	−	0.561670i	0.104548	−	0.0280136i
$403$	−40.7123	+	40.7123i	−2.02803	+	2.02803i
$404$	−7.39402	−	4.26894i	−0.367866	−	0.212388i
$405$	−76.3577	−	0.669013i	−3.79425	−	0.0332435i
$406$	−0.335605	+	0.193762i	−0.0166558	+	0.00961624i
$407$	−35.8970	−	9.61858i	−1.77935	−	0.476775i
$408$	−2.80417	+	2.80417i	−0.138827	+	0.138827i
$409$	3.80199			0.187996			0.0939981	−	0.995572i	$-0.470035\pi$
$409$	3.80199			0.187996			0.0939981	+	0.995572i	$0.470035\pi$
$410$	1.75935	+	6.80389i	0.0868883	+	0.336020i
$411$	−8.25794	−	14.3032i	−0.407334	−	0.705524i
$412$	3.15833	−	0.846271i	0.155600	−	0.0416928i
$413$	1.54363	−	0.413615i	0.0759571	−	0.0203526i
$414$	9.45776			0.464823
$415$	−17.5582	+	17.2532i	−0.861897	+	0.846925i
$416$	−4.84674	−	2.79827i	−0.237631	−	0.137196i
$417$	7.61248	+	28.4102i	0.372785	+	1.39125i
$418$	16.8412	+	4.51258i	0.823729	+	0.220718i
$419$	−24.5223			−1.19799			−0.598996	−	0.800752i	$-0.704433\pi$
$419$	−24.5223			−1.19799			−0.598996	+	0.800752i	$0.704433\pi$
$420$	1.41294	+	0.832350i	0.0689443	+	0.0406145i
$421$	27.1632	+	15.6827i	1.32385	+	0.764327i	0.984341	−	0.176274i	$-0.0564045\pi$
$421$	27.1632	+	15.6827i	1.32385	+	0.764327i	0.339513	+	0.940601i	$0.389738\pi$
$422$	−7.64988	−	7.64988i	−0.372391	−	0.372391i
$423$	−13.0277	−	48.6199i	−0.633427	−	2.36398i
$424$	−2.26781	−	3.92795i	−0.110134	−	0.190758i
$425$	4.10853	+	4.25509i	0.199293	+	0.206402i
$426$		−	13.5481i		−	0.656408i
$427$	−0.0779233	+	0.290814i	−0.00377097	+	0.0140735i
$428$	8.50253	−	8.50253i	0.410985	−	0.410985i
$429$	90.9896			4.39302
$430$	9.49132	+	11.1765i	0.457712	+	0.538980i
$431$	−25.0572			−1.20696			−0.603481	−	0.797377i	$-0.706220\pi$
$431$	−25.0572			−1.20696			−0.603481	+	0.797377i	$0.706220\pi$
$432$	12.4161	−	12.4161i	0.597372	−	0.597372i
$433$	9.04778	−	33.7668i	0.434808	−	1.62273i	−0.306716	−	0.951801i	$-0.599230\pi$
$433$	9.04778	−	33.7668i	0.434808	−	1.62273i	0.741525	−	0.670926i	$-0.234103\pi$
$434$			2.25064i			0.108034i
$435$	12.8555	−	3.32417i	0.616373	−	0.159382i
$436$	−3.66110	−	6.34122i	−0.175335	−	0.303689i
$437$	1.06823	+	3.98670i	0.0511005	+	0.190710i
$438$	29.5936	+	29.5936i	1.41404	+	1.41404i
$439$	3.83632	+	2.21490i	0.183097	+	0.105711i	0.588747	−	0.808317i	$-0.299621\pi$
$439$	3.83632	+	2.21490i	0.183097	+	0.105711i	−0.405650	+	0.914029i	$0.632955\pi$
$440$	10.4993	−	2.71492i	0.500535	−	0.129428i
$441$	−57.2712			−2.72720
$442$	−6.39497	−	1.71353i	−0.304178	−	0.0815042i
$443$	3.06344	+	11.4329i	0.145549	+	0.543195i	0.999730	+	0.0232202i	$0.00739189\pi$
$443$	3.06344	+	11.4329i	0.145549	+	0.543195i	−0.854182	+	0.519974i	$0.825941\pi$
$444$	−22.2463	−	12.8439i	−1.05576	−	0.609546i
$445$	23.7423	+	0.208020i	1.12549	+	0.00986108i
$446$	−11.4984			−0.544463
$447$	−0.999643	+	0.267854i	−0.0472815	+	0.0126690i
$448$	−0.211314	+	0.0566213i	−0.00998363	+	0.00267511i
$449$	−4.08919	−	7.08268i	−0.192981	−	0.334252i	0.753256	−	0.657727i	$-0.228482\pi$
$449$	−4.08919	−	7.08268i	−0.192981	−	0.334252i	−0.946237	+	0.323475i	$0.895149\pi$
$450$	−28.6106	−	29.6313i	−1.34872	−	1.39683i
$451$	15.2425			0.717742
$452$	0.130775	−	0.130775i	0.00615114	−	0.00615114i
$453$	−33.4671	−	8.96747i	−1.57242	−	0.421329i
$454$	−18.2184	+	10.5184i	−0.855033	+	0.493653i
$455$	−0.0239857	+	2.73761i	−0.00112447	+	0.128341i
$456$	10.4369	+	6.02576i	0.488754	+	0.282182i
$457$	13.9146	−	13.9146i	0.650897	−	0.650897i	−0.302312	−	0.953209i	$-0.597758\pi$
$457$	13.9146	−	13.9146i	0.650897	−	0.650897i	0.953209	+	0.302312i	$0.0977585\pi$
$458$	−7.77834	+	2.08420i	−0.363458	+	0.0973883i
$459$	10.3860	−	17.9890i	0.484776	−	0.839657i
$460$	1.79929	+	1.83110i	0.0838925	+	0.0853756i
$461$	0.0603258	+	0.104487i	0.00280965	+	0.00486647i	0.867427	−	0.497565i	$-0.165772\pi$
$461$	0.0603258	+	0.104487i	0.00280965	+	0.00486647i	−0.864617	+	0.502431i	$0.832439\pi$
$462$	2.51502	−	2.51502i	0.117009	−	0.117009i
$463$	2.46248	−	9.19008i	0.114441	−	0.427099i	−0.884804	−	0.465964i	$-0.845708\pi$
$463$	2.46248	−	9.19008i	0.114441	−	0.427099i	0.999244	+	0.0388649i	$0.0123742\pi$
$464$	−0.885696	+	1.53407i	−0.0411174	+	0.0712174i
$465$	20.6112	−	74.3115i	0.955821	−	3.44611i
$466$	6.54026	−	11.3281i	0.302972	−	0.524762i
$467$	10.0635	+	2.69651i	0.465684	+	0.124780i	0.484029	−	0.875052i	$-0.339173\pi$
$467$	10.0635	+	2.69651i	0.465684	+	0.124780i	−0.0183448	+	0.999832i	$0.505840\pi$
$468$	44.5328	+	11.9325i	2.05853	+	0.551581i
$469$	0.141621			0.00653943
$470$	6.93478	−	11.7720i	0.319877	−	0.543001i
$471$	−13.7793			−0.634919
$472$	5.16536	−	5.16536i	0.237755	−	0.237755i
$473$	28.6228	−	13.8618i	1.31608	−	0.637365i
$474$		−	12.0971i		−	0.555639i
$475$	9.25888	−	15.4069i	0.424827	−	0.706919i
$476$	−0.224125	+	0.129399i	−0.0102728	+	0.00593098i
$477$	26.4203	+	26.4203i	1.20970	+	1.20970i
$478$	−1.46728	+	5.47597i	−0.0671119	+	0.250465i
$479$	22.7404	−	13.1292i	1.03903	−	0.599887i	0.119475	−	0.992837i	$-0.461879\pi$
$479$	22.7404	−	13.1292i	1.03903	−	0.599887i	0.919560	+	0.392950i	$0.128546\pi$
$480$	7.49568	+	0.0656739i	0.342130	+	0.00299759i
$481$		−	42.8848i		−	1.95538i
$482$	−5.35507	+	1.43489i	−0.243917	+	0.0653573i
$483$	0.813282	+	0.217918i	0.0370056	+	0.00991563i
$484$		−	12.5212i		−	0.569146i
$485$	28.1302	−	7.27393i	1.27733	−	0.330292i
$486$	−30.9011	+	53.5223i	−1.40170	+	2.42782i
$487$	30.2694	−	8.11066i	1.37164	−	0.367529i	0.503560	−	0.863960i	$-0.332023\pi$
$487$	30.2694	−	8.11066i	1.37164	−	0.367529i	0.868076	+	0.496431i	$0.165356\pi$
$488$	0.356192	+	1.32932i	0.0161240	+	0.0601757i
$489$		−	3.74950i		−	0.169558i
$490$	−10.8956	−	11.0882i	−0.492212	−	0.500913i
$491$	−13.3361	−	7.69959i	−0.601849	−	0.347478i	0.167920	−	0.985801i	$-0.446295\pi$
$491$	−13.3361	−	7.69959i	−0.601849	−	0.347478i	−0.769769	+	0.638323i	$0.779628\pi$
$492$	10.1769	+	2.72688i	0.458808	+	0.122937i
$493$	−0.542359	+	2.02411i	−0.0244266	+	0.0911614i
$494$			20.1195i			0.905221i
$495$	−77.7567	+	43.9890i	−3.49490	+	1.97716i
$496$	5.14389	+	8.90948i	0.230968	+	0.400048i
$497$	0.228832	−	0.854011i	0.0102645	−	0.0383076i
$498$	9.55161	+	35.6471i	0.428018	+	1.59738i
$499$	−13.0383	+	22.5829i	−0.583672	+	1.01095i	0.411367	+	0.911470i	$0.365051\pi$
$499$	−13.0383	+	22.5829i	−0.583672	+	1.01095i	−0.995040	+	0.0994805i	$0.968282\pi$
$500$	0.293831	−	11.1765i	0.0131405	−	0.499827i
$501$	−21.5009	−	12.4135i	−0.960587	−	0.554595i
$502$	−1.60819	−	6.00184i	−0.0717769	−	0.267875i
$503$	−4.34046	+	1.16302i	−0.193532	+	0.0518566i	−0.354283	−	0.935138i	$-0.615275\pi$
$503$	−4.34046	+	1.16302i	−0.193532	+	0.0518566i	0.160751	+	0.986995i	$0.448608\pi$
$504$	1.56074	−	0.901096i	0.0695211	−	0.0401380i
$505$	9.40042	+	16.6165i	0.418313	+	0.739426i
$506$	4.82205	−	2.78401i	0.214366	−	0.123764i
$507$	15.8962	+	59.3253i	0.705973	+	2.63473i
$508$	−11.7625	+	11.7625i	−0.521876	+	0.521876i
$509$	3.57537	+	2.06424i	0.158476	+	0.0914959i	0.577141	−	0.816645i	$-0.304168\pi$
$509$	3.57537	+	2.06424i	0.158476	+	0.0914959i	−0.418665	+	0.908141i	$0.637502\pi$
$510$	8.58518	−	2.21996i	0.380158	−	0.0983015i
$511$	1.36560	+	2.36529i	0.0604106	+	0.104634i
$512$	−0.707107	+	0.707107i	−0.0312500	+	0.0312500i
$513$	−60.9739	−	16.3379i	−2.69207	−	0.721337i
$514$			24.0755i			1.06192i
$515$	−7.04538	−	1.95412i	−0.310457	−	0.0861089i
$516$	21.5902	−	4.13439i	0.950456	−	0.182006i
$517$	−20.9540	−	20.9540i	−0.921558	−	0.921558i
$518$	−1.18537	−	1.18537i	−0.0520821	−	0.0520821i
$519$	−8.09508	−	14.0211i	−0.355335	−	0.615458i
$520$	6.16192	+	10.8920i	0.270218	+	0.477648i
$521$	2.16817	−	1.25179i	0.0949891	−	0.0548420i	−0.451753	−	0.892143i	$-0.649201\pi$
$521$	2.16817	−	1.25179i	0.0949891	−	0.0548420i	0.546742	+	0.837301i	$0.315868\pi$
$522$	3.77684	−	14.0953i	0.165308	−	0.616936i
$523$	−2.52661	+	0.677003i	−0.110481	+	0.0296033i	−0.313636	−	0.949543i	$-0.601547\pi$
$523$	−2.52661	+	0.677003i	−0.110481	+	0.0296033i	0.203155	+	0.979147i	$0.434880\pi$
$524$	−3.23980			−0.141531
$525$	−1.77752	−	3.20725i	−0.0775772	−	0.139976i
$526$	5.11395	+	8.85762i	0.222979	+	0.386210i
$527$	8.60564	+	8.60564i	0.374867	+	0.374867i
$528$	4.20793	−	15.7042i	0.183127	−	0.683439i
$529$	−18.7771	−	10.8410i	−0.816395	−	0.471346i
$530$	−0.0888558	+	10.1415i	−0.00385965	+	0.440521i
$531$	−30.0887	+	52.1151i	−1.30574	+	2.26160i
$532$	0.556119	+	0.556119i	0.0241108	+	0.0241108i
$533$	4.55242	+	16.9898i	0.197187	+	0.735912i
$534$	17.7978	−	30.8267i	0.770187	−	1.33400i
$535$	−26.0312	+	6.73115i	−1.12543	+	0.291013i
$536$	0.560626	−	0.323677i	0.0242153	−	0.0139807i
$537$	15.1112	+	15.1112i	0.652097	+	0.652097i
$538$	−9.28231	−	9.28231i	−0.400189	−	0.400189i
$539$	−29.1997	+	16.8585i	−1.25772	+	0.726146i
$540$	−38.0130	+	9.82942i	−1.63582	+	0.422991i
$541$	19.0401	−	32.9784i	0.818596	−	1.41785i	−0.0881199	−	0.996110i	$-0.528086\pi$
$541$	19.0401	−	32.9784i	0.818596	−	1.41785i	0.906716	−	0.421741i	$-0.138581\pi$
$542$	2.41209	+	9.00205i	0.103608	+	0.386671i
$543$	20.0338	+	20.0338i	0.859732	+	0.859732i
$544$	−0.591488	+	1.02449i	−0.0253598	+	0.0439245i
$545$	−0.143447	+	16.3723i	−0.00614461	+	0.701313i
$546$	3.55448	+	2.05218i	0.152118	+	0.0878253i
$547$	9.30476	−	34.7258i	0.397843	−	1.48477i	−0.419041	−	0.907967i	$-0.637634\pi$
$547$	9.30476	−	34.7258i	0.397843	−	1.48477i	0.816884	−	0.576802i	$-0.195700\pi$
$548$	−3.48373	−	3.48373i	−0.148817	−	0.148817i
$549$	−5.66859	−	9.81828i	−0.241929	−	0.419034i
$550$	−23.3095	−	6.68564i	−0.993920	−	0.285077i
$551$	6.36815			0.271293
$552$	3.71756	−	0.996116i	0.158230	−	0.0423975i
$553$	0.204324	−	0.762547i	0.00868874	−	0.0324268i
$554$	−8.83650	+	5.10175i	−0.375427	+	0.216753i
$555$	28.2830	+	49.9940i	1.20054	+	2.12213i
$556$	4.38689	+	7.59832i	0.186046	+	0.322241i
$557$	13.8473	+	13.8473i	0.586731	+	0.586731i	0.936744	−	0.350014i	$-0.113823\pi$
$557$	13.8473	+	13.8473i	0.586731	+	0.586731i	−0.350014	+	0.936744i	$0.613823\pi$
$558$	−59.9272	−	59.9272i	−2.53692	−	2.53692i
$559$	23.9995	+	27.7639i	1.01507	+	1.17429i
$560$	0.471384	+	0.130744i	0.0199196	+	0.00552495i
$561$		−	19.2331i		−	0.812021i
$562$	−14.0013	−	3.75162i	−0.590607	−	0.158253i
$563$	−5.31963	+	5.31963i	−0.224196	+	0.224196i	−0.810263	−	0.586067i	$-0.800676\pi$
$563$	−5.31963	+	5.31963i	−0.224196	+	0.224196i	0.586067	+	0.810263i	$0.300676\pi$
$564$	−10.2416	−	17.7389i	−0.431247	−	0.746942i
$565$	−0.400378	+	0.103530i	−0.0168440	+	0.00435554i
$566$	−6.98352	−	4.03194i	−0.293539	−	0.169475i
$567$	−5.28267	+	5.28267i	−0.221851	+	0.221851i
$568$	−1.04600	−	3.90373i	−0.0438892	−	0.163797i
$569$	27.3933	−	15.8155i	1.14839	−	0.663022i	0.199894	−	0.979817i	$-0.435940\pi$
$569$	27.3933	−	15.8155i	1.14839	−	0.663022i	0.948494	+	0.316795i	$0.102607\pi$
$570$	−13.2690	−	23.4548i	−0.555778	−	0.982415i
$571$	−15.0837	+	8.70859i	−0.631234	+	0.364443i	−0.781230	−	0.624243i	$-0.785407\pi$
$571$	−15.0837	+	8.70859i	−0.631234	+	0.364443i	0.149996	+	0.988687i	$0.452074\pi$
$572$	26.2176	−	7.02498i	1.09621	−	0.293729i
$573$	21.6425	+	80.7710i	0.904130	+	3.37426i
$574$	0.595444	+	0.343780i	0.0248534	+	0.0143491i
$575$	−1.38834	−	5.56996i	−0.0578977	−	0.232284i
$576$	4.11896	−	7.13424i	0.171623	−	0.297260i
$577$	9.45708	+	35.2943i	0.393703	+	1.46932i	0.823978	+	0.566623i	$0.191750\pi$
$577$	9.45708	+	35.2943i	0.393703	+	1.46932i	−0.430274	+	0.902698i	$0.641583\pi$
$578$	4.03772	−	15.0690i	0.167947	−	0.626787i
$579$	−27.1485	−	47.0225i	−1.12825	−	1.95419i
$580$	3.44750	−	1.95035i	0.143150	−	0.0809837i
$581$			2.40836i			0.0999156i
$582$	11.2741	−	42.0755i	0.467326	−	1.74409i
$583$	21.2476	+	5.69327i	0.879985	+	0.235791i
$584$	10.8119	+	6.24222i	0.447398	+	0.258305i
$585$	−72.2550	−	73.5323i	−2.98738	−	3.04019i
$586$			0.184830i			0.00763525i
$587$	5.77605	+	21.5565i	0.238403	+	0.889733i	0.976585	+	0.215131i	$0.0690179\pi$
$587$	5.77605	+	21.5565i	0.238403	+	0.889733i	−0.738182	+	0.674602i	$0.764315\pi$
$588$	−22.5115	+	6.03195i	−0.928360	+	0.248753i
$589$	18.4923	−	32.0296i	0.761962	−	1.31976i
$590$	−15.8142	+	4.08923i	−0.651059	+	0.168351i
$591$			63.9947i			2.63239i
$592$	−7.40165	−	1.98327i	−0.304206	−	0.0815117i
$593$	−24.7856	+	6.64129i	−1.01782	+	0.272725i	−0.728895	−	0.684625i	$-0.759966\pi$
$593$	−24.7856	+	6.64129i	−1.01782	+	0.272725i	−0.288929	+	0.957351i	$0.593299\pi$
$594$			85.1592i			3.49412i
$595$	0.578666	+	0.00507003i	0.0237230	+	0.000207851i
$596$	−0.267355	+	0.154358i	−0.0109513	+	0.00632274i
$597$	−17.2694	+	64.4502i	−0.706789	+	2.63777i
$598$	4.54333	+	4.54333i	0.185791	+	0.185791i
$599$	5.78192	−	3.33819i	0.236243	−	0.136395i	−0.377206	−	0.926129i	$-0.623115\pi$
$599$	5.78192	−	3.33819i	0.236243	−	0.136395i	0.613449	+	0.789735i	$0.289782\pi$
$600$	−14.3668	−	8.63381i	−0.586523	−	0.352474i
$601$			37.2733i			1.52041i	0.649683	+	0.760205i	$0.274902\pi$
$601$			37.2733i			1.52041i	−0.649683	+	0.760205i	$0.725098\pi$
$602$	1.43078	+	0.104052i	0.0583142	+	0.00424085i
$603$	−3.77090	+	3.77090i	−0.153563	+	0.153563i
$604$	−10.3355			−0.420545
$605$	−14.2110	+	24.1236i	−0.577761	+	0.980766i
$606$	28.6215			1.16267
$607$	5.60720	+	1.50244i	0.227589	+	0.0609823i	0.370811	−	0.928708i	$-0.379080\pi$
$607$	5.60720	+	1.50244i	0.227589	+	0.0609823i	−0.143222	+	0.989691i	$0.545746\pi$
$608$	3.47250	+	0.930455i	0.140829	+	0.0377349i
$609$	0.649548	−	1.12505i	0.0263210	−	0.0455893i
$610$	0.822480	−	2.96537i	0.0333013	−	0.120064i
$611$	17.0979	−	29.6144i	0.691706	−	1.19807i
$612$	2.52226	−	9.41320i	0.101956	−	0.380506i
$613$	26.8610	−	26.8610i	1.08491	−	1.08491i	0.0888621	−	0.996044i	$-0.471677\pi$
$613$	26.8610	−	26.8610i	1.08491	−	1.08491i	0.996044	−	0.0888621i	$-0.0283231\pi$
$614$	−15.2532	−	26.4192i	−0.615567	−	1.06619i
$615$	−16.5121	−	16.8040i	−0.665830	−	0.677601i
$616$	0.530498	−	0.918850i	0.0213744	−	0.0370215i
$617$	21.5359	−	5.77053i	0.867003	−	0.232313i	0.202212	−	0.979342i	$-0.435187\pi$
$617$	21.5359	−	5.77053i	0.867003	−	0.232313i	0.664791	+	0.747029i	$0.268520\pi$
$618$	−7.75070	+	7.75070i	−0.311779	+	0.311779i
$619$	15.3100	+	8.83924i	0.615361	+	0.355279i	0.775061	−	0.631887i	$-0.217719\pi$
$619$	15.3100	+	8.83924i	0.615361	+	0.355279i	−0.159699	+	0.987166i	$0.551053\pi$
$620$	0.201545	−	23.0033i	0.00809424	−	0.923835i
$621$	−17.4583	+	10.0796i	−0.700579	+	0.404479i
$622$	14.9133	+	3.99602i	0.597971	+	0.160226i
$623$	1.64257	−	1.64257i	0.0658080	−	0.0658080i
$624$	18.7613			0.751051
$625$	−13.2509	+	21.1994i	−0.530037	+	0.847975i
$626$	−16.6363	−	28.8149i	−0.664920	−	1.15167i
$627$	−56.4567	+	15.1275i	−2.25466	+	0.604135i
$628$	−3.97035	+	1.06385i	−0.158434	+	0.0424524i
$629$	−9.06485			−0.361439
$630$	−4.02967	−	0.0353062i	−0.160546	−	0.00140663i
$631$	31.6148	+	18.2528i	1.25857	+	0.726633i	0.972796	−	0.231665i	$-0.0744172\pi$
$631$	31.6148	+	18.2528i	1.25857	+	0.726633i	0.285770	+	0.958298i	$0.407751\pi$
$632$	−0.933975	−	3.48564i	−0.0371515	−	0.138651i
$633$	35.0313	+	9.38661i	1.39237	+	0.373084i
$634$	14.9135			0.592291
$635$	36.0118	−	9.31195i	1.42908	−	0.369533i
$636$	13.1677	+	7.60237i	0.522133	+	0.301453i
$637$	−27.5120	−	27.5120i	−1.09007	−	1.09007i
$638$	−2.22352	−	8.29828i	−0.0880299	−	0.328532i
$639$	16.6465	+	28.8326i	0.658526	+	1.14060i
$640$	2.16486	−	0.559792i	0.0855737	−	0.0221277i
$641$		−	35.0054i		−	1.38263i	−0.722553	−	0.691316i	$-0.757031\pi$
$641$		−	35.0054i		−	1.38263i	0.722553	−	0.691316i	$-0.242969\pi$
$642$	−10.4328	+	38.9359i	−0.411751	+	1.53668i
$643$	6.15314	−	6.15314i	0.242656	−	0.242656i	−0.575292	−	0.817948i	$-0.695112\pi$
$643$	6.15314	−	6.15314i	0.242656	−	0.242656i	0.817948	+	0.575292i	$0.195112\pi$
$644$	0.251162			0.00989719
$645$	−46.2885	−	16.5386i	−1.82261	−	0.651205i
$646$	4.25280			0.167324
$647$	17.7963	−	17.7963i	0.699645	−	0.699645i	−0.264689	−	0.964334i	$-0.585269\pi$
$647$	17.7963	−	17.7963i	0.699645	−	0.699645i	0.964334	+	0.264689i	$0.0852692\pi$
$648$	−8.83855	+	32.9859i	−0.347211	+	1.29581i
$649$			35.4279i			1.39067i
$650$	0.490306	−	27.9784i	0.0192314	−	1.09740i
$651$	−3.77241	−	6.53400i	−0.147852	−	0.256088i
$652$	−0.289485	−	1.08037i	−0.0113371	−	0.0423107i
$653$	−26.1383	−	26.1383i	−1.02287	−	1.02287i	−0.999732	−	0.0231389i	$-0.992634\pi$
$653$	−26.1383	−	26.1383i	−1.02287	−	1.02287i	−0.0231389	−	0.999732i	$-0.507366\pi$
$654$	21.2577	+	12.2731i	0.831240	+	0.479917i
$655$	6.24188	+	3.67704i	0.243890	+	0.143674i
$656$	3.14287			0.122709
$657$	−99.3415	−	26.6185i	−3.87568	−	1.03849i
$658$	−0.345966	−	1.29116i	−0.0134872	−	0.0503347i
$659$	−30.2538	−	17.4670i	−1.17852	−	0.680418i	−0.222847	−	0.974853i	$-0.571535\pi$
$659$	−30.2538	−	17.4670i	−1.17852	−	0.680418i	−0.955671	+	0.294435i	$0.904869\pi$
$660$	−25.9307	+	25.4803i	−1.00935	+	0.991819i
$661$	15.3180			0.595800			0.297900	−	0.954597i	$-0.403714\pi$
$661$	15.3180			0.595800			0.297900	+	0.954597i	$0.403714\pi$
$662$	2.94598	−	0.789374i	0.114499	−	0.0306799i
$663$	21.4379	−	5.74426i	0.832578	−	0.223089i
$664$	5.50437	+	9.53385i	0.213611	+	0.369985i
$665$	−0.440260	−	1.70260i	−0.0170726	−	0.0660241i
$666$	63.1251			2.44605
$667$	1.43804	−	1.43804i	0.0556810	−	0.0556810i
$668$	−7.15362	−	1.91681i	−0.276782	−	0.0741635i
$669$	33.3818	−	19.2730i	1.29061	−	0.745136i
$670$	−1.44747	−	0.0126821i	−0.0559208	−	0.000489954i
$671$	−5.78027	−	3.33724i	−0.223145	−	0.128833i
$672$	0.518575	−	0.518575i	0.0200045	−	0.0200045i
$673$	27.2337	−	7.29726i	1.04978	−	0.281289i	0.307621	−	0.951509i	$-0.400467\pi$
$673$	27.2337	−	7.29726i	1.04978	−	0.281289i	0.742162	+	0.670220i	$0.233800\pi$
$674$	4.58782	−	7.94634i	0.176716	−	0.306082i
$675$	84.3926	+	24.2055i	3.24827	+	0.931671i
$676$	9.16058	+	15.8666i	0.352330	+	0.610254i
$677$	5.09543	−	5.09543i	0.195833	−	0.195833i	−0.602378	−	0.798211i	$-0.705780\pi$
$677$	5.09543	−	5.09543i	0.195833	−	0.195833i	0.798211	+	0.602378i	$0.205780\pi$
$678$	−0.160464	+	0.598862i	−0.00616260	+	0.0229991i
$679$	1.42134	−	2.46183i	0.0545459	−	0.0944762i
$680$	2.30232	−	1.30249i	0.0882901	−	0.0499481i
$681$	35.2609	−	61.0736i	1.35120	−	2.34035i
$682$	−48.1943	−	12.9136i	−1.84545	−	0.494488i
$683$	−45.3100	−	12.1408i	−1.73374	−	0.464554i	−0.752700	−	0.658363i	$-0.771249\pi$
$683$	−45.3100	−	12.1408i	−1.73374	−	0.464554i	−0.981039	+	0.193809i	$0.937916\pi$
$684$	−29.6153			−1.13237
$685$	2.75794	+	10.6657i	0.105376	+	0.407516i
$686$	−3.05228			−0.116537
$687$	19.0885	−	19.0885i	0.728270	−	0.728270i
$688$	5.90176	−	2.85818i	0.225003	−	0.108967i
$689$			25.3837i			0.967042i
$690$	−8.29287	−	2.30013i	−0.315704	−	0.0875643i
$691$	20.7495	−	11.9797i	0.789347	−	0.455730i	−0.0503856	−	0.998730i	$-0.516045\pi$
$691$	20.7495	−	11.9797i	0.789347	−	0.455730i	0.839733	+	0.543000i	$0.182712\pi$
$692$	−3.41502	−	3.41502i	−0.129820	−	0.129820i
$693$	−2.26218	+	8.44258i	−0.0859332	+	0.320707i
$694$	9.25769	−	5.34493i	0.351417	−	0.202891i
$695$	0.171885	−	19.6180i	0.00651996	−	0.744155i
$696$		−	5.93824i		−	0.225088i
$697$	3.59126	−	0.962275i	0.136029	−	0.0364488i
$698$	27.9591	+	7.49162i	1.05827	+	0.283562i
$699$			43.8498i			1.65855i
$700$	−0.759791	−	0.786896i	−0.0287174	−	0.0297419i
$701$	22.7466	−	39.3983i	0.859127	−	1.48805i	−0.0136350	−	0.999907i	$-0.504340\pi$
$701$	22.7466	−	39.3983i	0.859127	−	1.48805i	0.872762	−	0.488145i	$-0.162326\pi$
$702$	−94.9214	+	25.4341i	−3.58258	+	0.959949i
$703$	7.12984	+	26.6089i	0.268907	+	1.00358i
$704$		−	4.84987i		−	0.182786i
$705$	−0.401279	+	45.7999i	−0.0151130	+	1.72492i
$706$	−25.8376	−	14.9173i	−0.972410	−	0.561421i
$707$	1.80417	+	0.483426i	0.0678528	+	0.0181811i
$708$	−6.33804	+	23.6539i	−0.238198	+	0.888967i
$709$			9.63400i			0.361812i	0.983500	+	0.180906i	$0.0579030\pi$
$709$			9.63400i			0.361812i	−0.983500	+	0.180906i	$0.942097\pi$
$710$	−2.41532	+	8.70817i	−0.0906452	+	0.326812i
$711$	14.8637	+	25.7447i	0.557432	+	0.965500i
$712$	2.74821	−	10.2565i	0.102994	−	0.384377i
$713$	−3.05695	−	11.4087i	−0.114484	−	0.427259i
$714$	0.433783	−	0.751335i	0.0162339	−	0.0281180i
$715$	−58.4844	−	16.2213i	−2.18719	−	0.606644i
$716$	5.52080	+	3.18744i	0.206322	+	0.119120i
$717$	−4.91877	−	18.3571i	−0.183695	−	0.685559i
$718$	25.8881	−	6.93669i	0.966135	−	0.258875i
$719$	22.5247	−	13.0046i	0.840028	−	0.484990i	−0.0172458	−	0.999851i	$-0.505490\pi$
$719$	22.5247	−	13.0046i	0.840028	−	0.484990i	0.857274	+	0.514861i	$0.172156\pi$
$720$	−16.0327	+	9.07015i	−0.597505	+	0.338025i
$721$	−0.619481	+	0.357657i	−0.0230707	+	0.0133199i
$722$	1.57258	+	5.86893i	0.0585252	+	0.218419i
$723$	13.1416	−	13.1416i	0.488742	−	0.488742i
$724$	7.31924	+	4.22576i	0.272017	+	0.157049i
$725$	−8.85560	−	0.155190i	−0.328889	−	0.00576360i
$726$	20.9874	+	36.3513i	0.778917	+	1.34912i
$727$	−15.5619	+	15.5619i	−0.577159	+	0.577159i	−0.934119	−	0.356961i	$-0.883813\pi$
$727$	−15.5619	+	15.5619i	−0.577159	+	0.577159i	0.356961	+	0.934119i	$0.383813\pi$
$728$	1.18262	+	0.316883i	0.0438310	+	0.0117445i
$729$		−	104.731i		−	3.87893i
$730$	−13.7457	−	24.2974i	−0.508751	−	0.899287i
$731$	5.86865	−	5.07293i	0.217060	−	0.187629i
$732$	−3.26223	−	3.26223i	−0.120576	−	0.120576i
$733$	−6.80120	−	6.80120i	−0.251208	−	0.251208i	0.570258	−	0.821466i	$-0.306843\pi$
$733$	−6.80120	−	6.80120i	−0.251208	−	0.251208i	−0.821466	+	0.570258i	$0.806843\pi$
$734$	7.15017	+	12.3845i	0.263917	+	0.457118i
$735$	50.2172	+	13.9283i	1.85229	+	0.513755i
$736$	0.994263	−	0.574038i	0.0366490	−	0.0211593i
$737$	−0.812585	+	3.03261i	−0.0299319	+	0.111708i
$738$	−25.0085	+	6.70101i	−0.920576	+	0.246668i
$739$	8.74771			0.321790			0.160895	−	0.986972i	$-0.448562\pi$
$739$	8.74771			0.321790			0.160895	+	0.986972i	$0.448562\pi$
$740$	12.0093	+	12.2216i	0.441469	+	0.449273i
$741$	−33.7234	−	58.4106i	−1.23886	−	2.14577i
$742$	0.701624	+	0.701624i	0.0257574	+	0.0257574i
$743$	9.78828	−	36.5304i	0.359097	−	1.34017i	−0.516152	−	0.856497i	$-0.672636\pi$
$743$	9.78828	−	36.5304i	0.359097	−	1.34017i	0.875249	−	0.483672i	$-0.160697\pi$
$744$	−29.8673	−	17.2439i	−1.09499	−	0.632191i
$745$	0.690282	+	0.00604796i	0.0252900	+	0.000221580i
$746$	−13.4323	+	23.2655i	−0.491793	+	0.851811i
$747$	−64.1269	−	64.1269i	−2.34628	−	2.34628i
$748$	−1.48492	−	5.54179i	−0.0542939	−	0.202628i
$749$	−1.31528	+	2.27813i	−0.0480591	+	0.0832409i
$750$	17.8804	+	32.9398i	0.652900	+	1.20279i
$751$	−12.5938	+	7.27105i	−0.459555	+	0.265324i	−0.711857	−	0.702324i	$-0.752146\pi$
$751$	−12.5938	+	7.27105i	−0.459555	+	0.265324i	0.252302	+	0.967649i	$0.418812\pi$
$752$	−4.32054	−	4.32054i	−0.157554	−	0.157554i
$753$	14.7288	+	14.7288i	0.536749	+	0.536749i
$754$	8.58547	−	4.95682i	0.312664	−	0.180517i
$755$	19.9126	+	11.7303i	0.724693	+	0.426911i
$756$	−1.92068	+	3.32672i	−0.0698545	+	0.120992i
$757$	−4.72368	−	17.6290i	−0.171685	−	0.640738i	−0.997093	−	0.0762003i	$-0.975721\pi$
$757$	−4.72368	−	17.6290i	−0.171685	−	0.640738i	0.825407	−	0.564538i	$-0.190946\pi$
$758$	−19.4043	−	19.4043i	−0.704797	−	0.704797i
$759$	−9.33283	+	16.1649i	−0.338760	+	0.586750i
$760$	−5.63418	−	5.73378i	−0.204373	−	0.207986i
$761$	−5.51058	−	3.18154i	−0.199758	−	0.115331i	0.396784	−	0.917912i	$-0.370126\pi$
$761$	−5.51058	−	3.18154i	−0.199758	−	0.115331i	−0.596543	+	0.802581i	$0.703459\pi$
$762$	14.4329	−	53.8643i	0.522848	−	1.95130i
$763$	1.13269	+	1.13269i	0.0410061	+	0.0410061i
$764$	12.4721	+	21.6023i	0.451224	+	0.781543i
$765$	−15.5430	+	15.2730i	−0.561959	+	0.552197i
$766$	24.8758			0.898800
$767$	−39.4892	+	10.5811i	−1.42587	+	0.382061i
$768$	0.867639	−	3.23807i	0.0313082	−	0.116844i
$769$	3.19001	−	1.84175i	0.115035	−	0.0664152i	−0.441379	−	0.897321i	$-0.645510\pi$
$769$	3.19001	−	1.84175i	0.115035	−	0.0664152i	0.556413	+	0.830906i	$0.312177\pi$
$770$	−2.06492	+	1.16818i	−0.0744147	+	0.0420984i
$771$	−40.3541	−	69.8954i	−1.45332	−	2.51722i
$772$	−11.4530	−	11.4530i	−0.412201	−	0.412201i
$773$	−22.9031	−	22.9031i	−0.823769	−	0.823769i	0.162877	−	0.986646i	$-0.447923\pi$
$773$	−22.9031	−	22.9031i	−0.823769	−	0.823769i	−0.986646	+	0.162877i	$0.947923\pi$
$774$	−40.8676	+	35.3265i	−1.46896	+	1.26978i
$775$	−26.4961	+	44.0899i	−0.951767	+	1.58376i
$776$		−	12.9940i		−	0.466457i
$777$	5.42819	+	1.45448i	0.194735	+	0.0521792i
$778$	11.4749	−	11.4749i	0.411394	−	0.411394i
$779$	−5.64932	−	9.78490i	−0.202408	−	0.350580i
$780$	−36.1458	−	21.2932i	−1.29423	−	0.762420i
$781$	16.9745	+	9.80022i	0.607394	+	0.350679i
$782$	0.960355	−	0.960355i	0.0343422	−	0.0343422i
$783$	8.05030	+	30.0441i	0.287694	+	1.07369i
$784$	−6.02073	+	3.47607i	−0.215026	+	0.124145i
$785$	8.85680	+	2.45654i	0.316113	+	0.0876776i
$786$	9.40572	−	5.43040i	0.335491	−	0.193696i
$787$	−27.5327	+	7.37736i	−0.981435	+	0.262975i	−0.713649	−	0.700504i	$-0.752959\pi$
$787$	−27.5327	+	7.37736i	−0.981435	+	0.262975i	−0.267786	+	0.963478i	$0.586292\pi$
$788$	4.94080	+	18.4393i	0.176009	+	0.656874i
$789$	−29.6934	−	17.1435i	−1.05711	−	0.610324i
$790$	−2.15664	+	7.77554i	−0.0767297	+	0.276641i
$791$	−0.0202299	+	0.0350392i	−0.000719292	+	0.00124585i
$792$	10.3405	+	38.5914i	0.367435	+	1.37129i
$793$	1.99344	−	7.43961i	0.0707890	−	0.264188i
$794$	4.48626	+	7.77042i	0.159211	+	0.275762i
$795$	−16.7408	−	29.5916i	−0.593735	−	1.04951i
$796$			19.9039i			0.705475i
$797$	3.36397	−	12.5545i	0.119158	−	0.444704i	−0.880406	−	0.474220i	$-0.842730\pi$
$797$	3.36397	−	12.5545i	0.119158	−	0.444704i	0.999564	+	0.0295165i	$0.00939676\pi$
$798$	−2.54665	−	0.682373i	−0.0901505	−	0.0241558i
$799$	−6.25979	−	3.61409i	−0.221455	−	0.127857i
$800$	−4.80621	−	1.37852i	−0.169925	−	0.0487381i
$801$			87.4725i			3.09069i
$802$	4.33147	+	16.1653i	0.152950	+	0.570815i
$803$	−58.4848	+	15.6710i	−2.06388	+	0.553016i
$804$	−1.08506	+	1.87939i	−0.0382673	+	0.0662808i
$805$	−0.483895	−	0.285059i	−0.0170551	−	0.0100470i
$806$		−	57.5759i		−	2.02803i
$807$	42.5067	+	11.3896i	1.49631	+	0.400934i
$808$	8.24696	−	2.20977i	0.290127	−	0.0777393i
$809$		−	14.8382i		−	0.521683i	−0.965382	−	0.260841i	$-0.916000\pi$
$809$		−	14.8382i		−	0.521683i	0.965382	−	0.260841i	$-0.0840000\pi$
$810$	54.4661	−	53.5200i	1.91374	−	1.88050i
$811$	−5.58941	+	3.22705i	−0.196271	+	0.113317i	−0.594915	−	0.803789i	$-0.702814\pi$
$811$	−5.58941	+	3.22705i	−0.196271	+	0.113317i	0.398644	+	0.917106i	$0.369481\pi$
$812$	0.100299	−	0.374319i	0.00351979	−	0.0131360i
$813$	−22.0915	−	22.0915i	−0.774783	−	0.774783i
$814$	32.1844	−	18.5817i	1.12806	−	0.651287i
$815$	−0.668449	+	2.41002i	−0.0234147	+	0.0844195i
$816$		−	3.96569i		−	0.138827i
$817$	−19.5070	−	13.2368i	−0.682462	−	0.463095i
$818$	−2.68841	+	2.68841i	−0.0939981	+	0.0939981i
$819$	−10.0860			−0.352434
$820$	−6.05513	−	3.56703i	−0.211454	−	0.124566i
$821$	−22.9698			−0.801653			−0.400826	−	0.916154i	$-0.631277\pi$
$821$	−22.9698			−0.801653			−0.400826	+	0.916154i	$0.631277\pi$
$822$	15.9531	+	4.27463i	0.556429	+	0.149095i
$823$	43.0694	+	11.5404i	1.50130	+	0.402273i	0.913536	−	0.406757i	$-0.133340\pi$
$823$	43.0694	+	11.5404i	1.50130	+	0.402273i	0.587767	+	0.809030i	$0.300007\pi$
$824$	−1.63487	+	2.83168i	−0.0569534	+	0.0986462i
$825$	78.8777	−	19.6606i	2.74617	−	0.684495i
$826$	−0.799042	+	1.38398i	−0.0278022	+	0.0481549i
$827$	−11.2365	+	41.9353i	−0.390732	+	1.45823i	0.438198	+	0.898879i	$0.355617\pi$
$827$	−11.2365	+	41.9353i	−0.390732	+	1.45823i	−0.828930	+	0.559353i	$0.811050\pi$
$828$	−6.68764	+	6.68764i	−0.232412	+	0.232412i
$829$	6.38179	+	11.0536i	0.221649	+	0.383907i	0.955309	−	0.295610i	$-0.0955228\pi$
$829$	6.38179	+	11.0536i	0.221649	+	0.383907i	−0.733660	+	0.679517i	$0.762189\pi$
$830$	0.215669	−	24.6153i	0.00748598	−	0.854411i
$831$	17.1026	−	29.6226i	0.593283	−	1.02760i
$832$	5.40583	−	1.44849i	0.187414	−	0.0502173i
$833$	−5.81540	+	5.81540i	−0.201492	+	0.201492i
$834$	−25.4719	−	14.7062i	−0.882019	−	0.509234i
$835$	11.6068	+	11.8120i	0.401671	+	0.408772i
$836$	−15.0994	+	8.71764i	−0.522224	+	0.301506i
$837$	174.489	+	46.7541i	6.03121	+	1.61606i
$838$	17.3399	−	17.3399i	0.598996	−	0.598996i
$839$	36.3266			1.25413			0.627066	−	0.778966i	$-0.284256\pi$
$839$	36.3266			1.25413			0.627066	+	0.778966i	$0.284256\pi$
$840$	−1.58766	+	0.410538i	−0.0547794	+	0.0141649i
$841$	12.9311	+	22.3973i	0.445900	+	0.772321i
$842$	−30.2966	+	8.11796i	−1.04409	+	0.279763i
$843$	46.9364	−	12.5766i	1.61658	−	0.433160i
$844$	10.8186			0.372391
$845$	0.358925	−	40.9658i	0.0123474	−	1.40927i
$846$	43.5914	+	25.1675i	1.49870	+	0.865277i
$847$	0.708968	+	2.64590i	0.0243604	+	0.0909144i
$848$	4.38106	+	1.17390i	0.150446	+	0.0403120i
$849$	27.0325			0.927754
$850$	−5.91397	−	0.103639i	−0.202848	−	0.00355480i
$851$	7.61879	+	4.39871i	0.261169	+	0.150786i
$852$	9.57996	+	9.57996i	0.328204	+	0.328204i
$853$	12.7286	+	47.5039i	0.435820	+	1.62650i	0.739097	+	0.673599i	$0.235252\pi$
$853$	12.7286	+	47.5039i	0.435820	+	1.62650i	−0.303277	+	0.952902i	$0.598081\pi$
$854$	−0.150536	−	0.260737i	−0.00515125	−	0.00892222i
$855$	57.0575	+	33.6121i	1.95133	+	1.14951i
$856$			12.0244i			0.410985i
$857$	1.09118	−	4.07234i	0.0372740	−	0.139108i	−0.944781	−	0.327701i	$-0.893726\pi$
$857$	1.09118	−	4.07234i	0.0372740	−	0.139108i	0.982055	+	0.188593i	$0.0603927\pi$
$858$	−64.3394	+	64.3394i	−2.19651	+	2.19651i
$859$	5.84154			0.199311			0.0996554	−	0.995022i	$-0.468226\pi$
$859$	5.84154			0.199311			0.0996554	+	0.995022i	$0.468226\pi$
$860$	−14.6144	−	1.19162i	−0.498346	−	0.0406340i
$861$	−2.30491			−0.0785510
$862$	17.7181	−	17.7181i	0.603481	−	0.603481i
$863$	5.54299	−	20.6867i	0.188686	−	0.704184i	−0.805126	−	0.593104i	$-0.797902\pi$
$863$	5.54299	−	20.6867i	0.188686	−	0.704184i	0.993811	−	0.111080i	$-0.0354310\pi$
$864$			17.5591i			0.597372i
$865$	2.70355	+	10.4554i	0.0919236	+	0.355493i
$866$	17.4790	+	30.2744i	0.593959	+	1.02877i
$867$	13.5357	+	50.5158i	0.459695	+	1.71561i
$868$	−1.59144	−	1.59144i	−0.0540171	−	0.0540171i
$869$	15.1565	+	8.75062i	0.514150	+	0.296845i
$870$	−6.73964	+	11.4407i	−0.228495	+	0.387877i
$871$	−3.62294			−0.122759
$872$	7.07271	+	1.89513i	0.239512	+	0.0641771i
$873$	27.7049	+	103.396i	0.937668	+	3.49943i
$874$	−3.57438	−	2.06367i	−0.120905	−	0.0698046i
$875$	0.570737	+	2.37838i	0.0192944	+	0.0804039i
$876$	−41.8516			−1.41404
$877$	17.4014	−	4.66270i	0.587605	−	0.157448i	0.0472467	−	0.998883i	$-0.484955\pi$
$877$	17.4014	−	4.66270i	0.587605	−	0.157448i	0.540358	+	0.841435i	$0.318289\pi$
$878$	−4.27886	+	1.14652i	−0.144404	+	0.0386930i
$879$	−0.309803	−	0.536594i	−0.0104494	−	0.0180989i
$880$	−5.50439	+	9.34386i	−0.185553	+	0.314982i
$881$	−58.3611			−1.96624			−0.983118	−	0.182971i	$-0.941429\pi$
$881$	−58.3611			−1.96624			−0.983118	+	0.182971i	$0.941429\pi$
$882$	40.4968	−	40.4968i	1.36360	−	1.36360i
$883$	−42.7908	−	11.4657i	−1.44002	−	0.385853i	−0.547482	−	0.836818i	$-0.684413\pi$
$883$	−42.7908	−	11.4657i	−1.44002	−	0.385853i	−0.892542	+	0.450964i	$0.851080\pi$
$884$	5.73358	−	3.31028i	0.192841	−	0.111337i
$885$	39.0571	−	38.3787i	1.31289	−	1.29009i
$886$	−10.2505	−	5.91812i	−0.344372	−	0.198823i
$887$	24.6492	−	24.6492i	0.827640	−	0.827640i	−0.159549	−	0.987190i	$-0.551004\pi$
$887$	24.6492	−	24.6492i	0.827640	−	0.827640i	0.987190	+	0.159549i	$0.0510041\pi$
$888$	24.8126	−	6.64850i	0.832655	−	0.223109i
$889$	1.81957	−	3.15158i	0.0610263	−	0.105701i
$890$	−16.9354	+	16.6412i	−0.567677	+	0.557815i
$891$	−82.8103	−	143.432i	−2.77425	−	4.80514i
$892$	8.13057	−	8.13057i	0.272231	−	0.272231i
$893$	−5.68523	+	21.2176i	−0.190249	+	0.710019i
$894$	0.517453	−	0.896256i	0.0173062	−	0.0299753i
$895$	−7.01890	−	12.4069i	−0.234616	−	0.414716i
$896$	0.109384	−	0.189459i	0.00365426	−	0.00632937i
$897$	−20.8054	−	5.57479i	−0.694673	−	0.186137i
$898$	7.89970	+	2.11672i	0.263616	+	0.0706358i
$899$	−18.2237			−0.607794
$900$	41.1833	+	0.721715i	1.37278	+	0.0240572i
$901$	5.36552			0.178751
$902$	−10.7781	+	10.7781i	−0.358871	+	0.358871i
$903$	−4.32821	+	2.09612i	−0.144034	+	0.0697545i
$904$			0.184944i			0.00615114i
$905$	−9.30534	−	16.4485i	−0.309320	−	0.546766i
$906$	30.0058	−	17.3238i	0.996874	−	0.575546i
$907$	14.2092	+	14.2092i	0.471810	+	0.471810i	0.902500	−	0.430690i	$-0.141730\pi$
$907$	14.2092	+	14.2092i	0.471810	+	0.471810i	−0.430690	+	0.902500i	$0.641730\pi$
$908$	5.44473	−	20.3200i	0.180690	−	0.674343i
$909$	−60.9113	+	35.1672i	−2.02030	+	1.16642i
$910$	−1.91882	−	1.95274i	−0.0636083	−	0.0647327i
$911$		−	26.1758i		−	0.867243i	−0.901095	−	0.433622i	$-0.857235\pi$
$911$		−	26.1758i		−	0.867243i	0.901095	−	0.433622i	$-0.142765\pi$
$912$	−11.6409	+	3.11916i	−0.385468	+	0.103286i
$913$	−51.5717	−	13.8186i	−1.70677	−	0.457329i
$914$			19.6782i			0.650897i
$915$	2.58260	+	9.98759i	0.0853780	+	0.330180i
$916$	4.02637	−	6.97387i	0.133035	−	0.230423i
$917$	0.684615	−	0.183442i	0.0226080	−	0.00605779i
$918$	5.37618	+	20.0642i	0.177440	+	0.662216i
$919$		−	27.4180i		−	0.904436i	−0.891907	−	0.452218i	$-0.850633\pi$
$919$		−	27.4180i		−	0.904436i	0.891907	−	0.452218i	$-0.149367\pi$
$920$	−2.56708	−	0.0224916i	−0.0846341	−	0.000741527i
$921$	88.5652	+	51.1332i	2.91832	+	1.68490i
$922$	−0.116541	−	0.0312270i	−0.00383806	−	0.00102841i
$923$	−5.85398	+	21.8473i	−0.192686	+	0.719114i
$924$			3.55678i			0.117009i
$925$	−9.26636	−	37.1763i	−0.304676	−	1.22235i
$926$	4.75714	+	8.23960i	0.156329	+	0.270770i
$927$	6.97151	−	26.0180i	0.228974	−	0.854544i
$928$	−0.458470	−	1.71103i	−0.0150500	−	0.0561674i
$929$	−2.85476	+	4.94459i	−0.0936616	+	0.162227i	−0.909049	−	0.416689i	$-0.863191\pi$
$929$	−2.85476	+	4.94459i	−0.0936616	+	0.162227i	0.815388	+	0.578915i	$0.196524\pi$
$930$	37.9719	+	67.1205i	1.24515	+	2.20097i
$931$	21.6445	+	12.4965i	0.709371	+	0.409556i
$932$	3.38549	+	12.6348i	0.110895	+	0.413867i
$933$	−49.9940	+	13.3959i	−1.63673	+	0.438560i
$934$	−9.02270	+	5.20926i	−0.295232	+	0.170452i
$935$	−3.42882	+	12.3622i	−0.112134	+	0.404289i
$936$	−39.9270	+	23.0519i	−1.30506	+	0.753474i
$937$	9.12721	+	34.0632i	0.298173	+	1.11280i	0.938665	+	0.344832i	$0.112064\pi$
$937$	9.12721	+	34.0632i	0.298173	+	1.11280i	−0.640491	+	0.767965i	$0.721269\pi$
$938$	−0.100141	+	0.100141i	−0.00326972	+	0.00326972i
$939$	96.5962	+	55.7698i	3.15230	+	1.81998i
$940$	3.42042	+	13.2277i	0.111562	+	0.431439i
$941$	−13.6233	−	23.5962i	−0.444107	−	0.769215i	0.553883	−	0.832595i	$-0.313146\pi$
$941$	−13.6233	−	23.5962i	−0.444107	−	0.769215i	−0.997990	+	0.0633794i	$0.979812\pi$
$942$	9.74347	−	9.74347i	0.317459	−	0.317459i
$943$	−3.48531	−	0.933886i	−0.113497	−	0.0304115i
$944$			7.30492i			0.237755i
$945$	7.47611	−	4.22944i	0.243198	−	0.137584i
$946$	−10.4376	+	30.0411i	−0.339356	+	0.976721i
$947$	−8.73034	−	8.73034i	−0.283698	−	0.283698i	0.550884	−	0.834582i	$-0.314291\pi$
$947$	−8.73034	−	8.73034i	−0.283698	−	0.283698i	−0.834582	+	0.550884i	$0.814291\pi$
$948$	8.55396	+	8.55396i	0.277820	+	0.277820i
$949$	−34.9348	−	60.5089i	−1.13403	−	1.96420i
$950$	4.34734	+	17.4414i	0.141046	+	0.565873i
$951$	−43.2966	+	24.9973i	−1.40399	+	0.810592i
$952$	0.0669817	−	0.249979i	0.00217089	−	0.00810187i
$953$	17.4855	−	4.68523i	0.566411	−	0.151769i	0.0357609	−	0.999360i	$-0.488615\pi$
$953$	17.4855	−	4.68523i	0.566411	−	0.151769i	0.530650	+	0.847591i	$0.321948\pi$
$954$	−37.3640			−1.20970
$955$	0.488674	−	55.7747i	0.0158131	−	1.80483i
$956$	−2.83457	−	4.90962i	−0.0916766	−	0.158789i
$957$	20.3644	+	20.3644i	0.658289	+	0.658289i
$958$	−6.79616	+	25.3636i	−0.219574	+	0.819461i
$959$	0.933412	+	0.538906i	0.0301415	+	0.0174022i
$960$	−5.34669	+	5.25381i	−0.172564	+	0.169566i
$961$	−37.4193	+	64.8121i	−1.20707	+	2.09071i
$962$	30.3242	+	30.3242i	0.977690	+	0.977690i
$963$	−25.6376	−	95.6807i	−0.826159	−	3.08327i
$964$	2.77199	−	4.80122i	0.0892797	−	0.154637i
$965$	9.06690	+	35.0641i	0.291874	+	1.12875i
$966$	−0.729169	+	0.420986i	−0.0234606	+	0.0135450i
$967$	−36.5798	−	36.5798i	−1.17633	−	1.17633i	−0.980673	−	0.195652i	$-0.937318\pi$
$967$	−36.5798	−	36.5798i	−1.17633	−	1.17633i	−0.195652	−	0.980673i	$-0.562682\pi$
$968$	8.85384	+	8.85384i	0.284573	+	0.284573i
$969$	−12.3466	+	7.12833i	−0.396631	+	0.228995i
$970$	−14.7476	+	25.0345i	−0.473518	+	0.803810i
$971$	10.5261	−	18.2317i	0.337798	−	0.585084i	−0.646220	−	0.763151i	$-0.723651\pi$
$971$	10.5261	−	18.2317i	0.337798	−	0.585084i	0.984018	+	0.178067i	$0.0569844\pi$
$972$	−15.9956	−	59.6964i	−0.513059	−	1.91476i
$973$	−1.35724	−	1.35724i	−0.0435111	−	0.0435111i
$974$	−15.6686	+	27.1388i	−0.502054	+	0.869583i
$975$	45.4725	+	82.0480i	1.45629	+	2.62764i
$976$	−1.19184	−	0.688109i	−0.0381499	−	0.0220258i
$977$	−6.04065	+	22.5440i	−0.193258	+	0.721247i	0.799453	+	0.600728i	$0.205123\pi$
$977$	−6.04065	+	22.5440i	−0.193258	+	0.721247i	−0.992711	+	0.120519i	$0.961544\pi$
$978$	2.65129	+	2.65129i	0.0847791	+	0.0847791i
$979$	25.7486	+	44.5979i	0.822930	+	1.42536i
$980$	15.5449	+	0.136197i	0.496562	+	0.00435067i
$981$	−60.3197			−1.92586
$982$	14.8745	−	3.98560i	0.474663	−	0.127186i
$983$	−13.0714	+	48.7832i	−0.416914	+	1.55594i	0.364057	+	0.931377i	$0.381391\pi$
$983$	−13.0714	+	48.7832i	−0.416914	+	1.55594i	−0.780971	+	0.624567i	$0.785275\pi$
$984$	−9.12432	+	5.26793i	−0.290873	+	0.167935i
$985$	11.4088	−	41.1332i	0.363514	−	1.31061i
$986$	−1.04776	−	1.81477i	−0.0333674	−	0.0577940i
$987$	3.16858	+	3.16858i	0.100857	+	0.100857i
$988$	−14.2267	−	14.2267i	−0.452610	−	0.452610i
$989$	−7.39409	+	1.41592i	−0.235118	+	0.0450237i
$990$	23.8773	−	86.0872i	0.758871	−	2.73603i
$991$			17.5819i			0.558509i	0.960217	+	0.279254i	$0.0900873\pi$
$991$			17.5819i			0.558509i	−0.960217	+	0.279254i	$0.909913\pi$
$992$	−9.93724	−	2.66268i	−0.315508	−	0.0845400i
$993$	−7.22960	+	7.22960i	−0.229424	+	0.229424i
$994$	0.442069	+	0.765685i	0.0140216	+	0.0242861i
$995$	22.5901	−	38.3473i	0.716153	−	1.21569i
$996$	−31.9603	−	18.4523i	−1.01270	−	0.584683i
$997$	6.65465	−	6.65465i	0.210755	−	0.210755i	−0.593833	−	0.804588i	$-0.702386\pi$
$997$	6.65465	−	6.65465i	0.210755	−	0.210755i	0.804588	+	0.593833i	$0.202386\pi$
$998$	−6.74910	−	25.1880i	−0.213639	−	0.797311i
$999$	−116.524	+	67.2754i	−3.68667	+	2.12850i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	430.2.l.a.7.11	✓	88
5.3	odd	4	inner	430.2.l.a.93.22	yes	88
43.37	odd	6	inner	430.2.l.a.37.22	yes	88
215.123	even	12	inner	430.2.l.a.123.11	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
430.2.l.a.7.11	✓	88	1.1	even	1	trivial
430.2.l.a.37.22	yes	88	43.37	odd	6	inner
430.2.l.a.93.22	yes	88	5.3	odd	4	inner
430.2.l.a.123.11	yes	88	215.123	even	12	inner

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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:	\( N \)	\(=\)	\( 430 = 2 \cdot 5 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	430.l (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.707107 + 0.707107i) q^{2} +(0.867639 - 3.23807i) q^{3} -1.00000i q^{4} +(-1.13496 + 1.92662i) q^{5} +(1.67615 + 2.90318i) q^{6} +(0.0566213 + 0.211314i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-7.13424 - 4.11896i) q^{9} +O(q^{10})\)	\(q+(-0.707107 + 0.707107i) q^{2} +(0.867639 - 3.23807i) q^{3} -1.00000i q^{4} +(-1.13496 + 1.92662i) q^{5} +(1.67615 + 2.90318i) q^{6} +(0.0566213 + 0.211314i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-7.13424 - 4.11896i) q^{9} +(-0.559792 - 2.16486i) q^{10} -4.84987 q^{11} +(-3.23807 - 0.867639i) q^{12} +(-1.44849 - 5.40583i) q^{13} +(-0.189459 - 0.109384i) q^{14} +(5.25381 + 5.34669i) q^{15} -1.00000 q^{16} +(-1.14267 + 0.306177i) q^{17} +(7.95722 - 2.13213i) q^{18} +(1.79750 + 3.11336i) q^{19} +(1.92662 + 1.13496i) q^{20} +0.733376 q^{21} +(3.42937 - 3.42937i) q^{22} +(1.10896 + 0.297144i) q^{23} +(2.90318 - 1.67615i) q^{24} +(-2.42374 - 4.37327i) q^{25} +(4.84674 + 2.79827i) q^{26} +(-12.4161 + 12.4161i) q^{27} +(0.211314 - 0.0566213i) q^{28} +(0.885696 - 1.53407i) q^{29} +(-7.49568 - 0.0656739i) q^{30} +(-5.14389 - 8.90948i) q^{31} +(0.707107 - 0.707107i) q^{32} +(-4.20793 + 15.7042i) q^{33} +(0.591488 - 1.02449i) q^{34} +(-0.471384 - 0.130744i) q^{35} +(-4.11896 + 7.13424i) q^{36} +(7.40165 + 1.98327i) q^{37} +(-3.47250 - 0.930455i) q^{38} -18.7613 q^{39} +(-2.16486 + 0.559792i) q^{40} -3.14287 q^{41} +(-0.518575 + 0.518575i) q^{42} +(-5.90176 + 2.85818i) q^{43} +4.84987i q^{44} +(16.0327 - 9.07015i) q^{45} +(-0.994263 + 0.574038i) q^{46} +(4.32054 + 4.32054i) q^{47} +(-0.867639 + 3.23807i) q^{48} +(6.02073 - 3.47607i) q^{49} +(4.80621 + 1.37852i) q^{50} +3.96569i q^{51} +(-5.40583 + 1.44849i) q^{52} +(-4.38106 - 1.17390i) q^{53} -17.5591i q^{54} +(5.50439 - 9.34386i) q^{55} +(-0.109384 + 0.189459i) q^{56} +(11.6409 - 3.11916i) q^{57} +(0.458470 + 1.71103i) q^{58} -7.30492i q^{59} +(5.34669 - 5.25381i) q^{60} +(1.19184 + 0.688109i) q^{61} +(9.93724 + 2.66268i) q^{62} +(0.466442 - 1.74078i) q^{63} +1.00000i q^{64} +(12.0590 + 3.34470i) q^{65} +(-8.12911 - 14.0800i) q^{66} +(0.167548 - 0.625297i) q^{67} +(0.306177 + 1.14267i) q^{68} +(1.92435 - 3.33307i) q^{69} +(0.425769 - 0.240869i) q^{70} +(-3.49999 - 2.02072i) q^{71} +(-2.13213 - 7.95722i) q^{72} +(12.0591 - 3.23121i) q^{73} +(-6.63614 + 3.83138i) q^{74} +(-16.2639 + 4.05385i) q^{75} +(3.11336 - 1.79750i) q^{76} +(-0.274606 - 1.02484i) q^{77} +(13.2662 - 13.2662i) q^{78} +(-3.12514 - 1.80430i) q^{79} +(1.13496 - 1.92662i) q^{80} +(17.0748 + 29.5744i) q^{81} +(2.22235 - 2.22235i) q^{82} +(10.6336 + 2.84927i) q^{83} -0.733376i q^{84} +(0.706992 - 2.54899i) q^{85} +(2.15214 - 6.19421i) q^{86} +(-4.19897 - 4.19897i) q^{87} +(-3.42937 - 3.42937i) q^{88} +(-5.30914 - 9.19570i) q^{89} +(-4.92329 + 17.7504i) q^{90} +(1.06031 - 0.612171i) q^{91} +(0.297144 - 1.10896i) q^{92} +(-33.3126 + 8.92609i) q^{93} -6.11017 q^{94} +(-8.03836 - 0.0704286i) q^{95} +(-1.67615 - 2.90318i) q^{96} +(-9.18814 - 9.18814i) q^{97} +(-1.79935 + 6.71525i) q^{98} +(34.6001 + 19.9764i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q + 4 q^{6} + 12 q^{7}+O(q^{10}) \) 88 * q + 4 * q^6 + 12 * q^7	\( 88 q + 4 q^{6} + 12 q^{7} + 16 q^{13} - 88 q^{16} + 4 q^{17} - 16 q^{21} + 12 q^{23} - 8 q^{25} + 12 q^{28} - 36 q^{30} - 40 q^{31} + 12 q^{33} - 40 q^{35} - 40 q^{36} + 16 q^{38} - 56 q^{41} - 56 q^{43} + 24 q^{46} + 72 q^{47} + 24 q^{50} - 16 q^{52} + 20 q^{53} + 24 q^{55} - 8 q^{56} + 20 q^{57} + 8 q^{60} + 72 q^{61} + 36 q^{62} - 40 q^{66} - 16 q^{67} + 4 q^{68} + 24 q^{71} + 60 q^{73} - 48 q^{76} - 48 q^{77} + 40 q^{78} + 28 q^{81} + 20 q^{86} - 64 q^{87} - 8 q^{90} + 48 q^{91} - 12 q^{92} - 108 q^{93} + 4 q^{95} - 4 q^{96} - 48 q^{97} - 96 q^{98}+O(q^{100}) \) 88 * q + 4 * q^6 + 12 * q^7 + 16 * q^13 - 88 * q^16 + 4 * q^17 - 16 * q^21 + 12 * q^23 - 8 * q^25 + 12 * q^28 - 36 * q^30 - 40 * q^31 + 12 * q^33 - 40 * q^35 - 40 * q^36 + 16 * q^38 - 56 * q^41 - 56 * q^43 + 24 * q^46 + 72 * q^47 + 24 * q^50 - 16 * q^52 + 20 * q^53 + 24 * q^55 - 8 * q^56 + 20 * q^57 + 8 * q^60 + 72 * q^61 + 36 * q^62 - 40 * q^66 - 16 * q^67 + 4 * q^68 + 24 * q^71 + 60 * q^73 - 48 * q^76 - 48 * q^77 + 40 * q^78 + 28 * q^81 + 20 * q^86 - 64 * q^87 - 8 * q^90 + 48 * q^91 - 12 * q^92 - 108 * q^93 + 4 * q^95 - 4 * q^96 - 48 * q^97 - 96 * q^98

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