LMFDB - Embedded newform 260.2.bc.c.19.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(19,260)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(260, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 5]))

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

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

chi := DirichletCharacter("260.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bc (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:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.8
Character	$\chi$	$=$	260.19
Dual form			260.2.bc.c.219.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.975366 + 1.02404i) q^{2} +(1.20070 - 2.07967i) q^{3} +(-0.0973226 - 1.99763i) q^{4} +(-1.03858 + 1.98024i) q^{5} +(0.958547 + 3.25800i) q^{6} +(0.925353 - 3.45346i) q^{7} +(2.14058 + 1.84876i) q^{8} +(-1.38334 - 2.39602i) q^{9} +O(q^{10})$	\(q+(-0.975366 + 1.02404i) q^{2} +(1.20070 - 2.07967i) q^{3} +(-0.0973226 - 1.99763i) q^{4} +(-1.03858 + 1.98024i) q^{5} +(0.958547 + 3.25800i) q^{6} +(0.925353 - 3.45346i) q^{7} +(2.14058 + 1.84876i) q^{8} +(-1.38334 - 2.39602i) q^{9} +(-1.01485 - 2.99501i) q^{10} +(0.283229 + 1.05703i) q^{11} +(-4.27126 - 2.19615i) q^{12} +(2.80116 - 2.27013i) q^{13} +(2.63393 + 4.31599i) q^{14} +(2.87122 + 4.53757i) q^{15} +(-3.98106 + 0.388829i) q^{16} +(-2.52501 - 4.37344i) q^{17} +(3.80289 + 0.920395i) q^{18} +(1.37311 - 5.12450i) q^{19} +(4.05687 + 1.88198i) q^{20} +(-6.07098 - 6.07098i) q^{21} +(-1.35869 - 0.740948i) q^{22} +(-1.59495 - 0.920845i) q^{23} +(6.41499 - 2.23190i) q^{24} +(-2.84270 - 4.11328i) q^{25} +(-0.407450 + 5.08271i) q^{26} +0.560284 q^{27} +(-6.98880 - 1.51241i) q^{28} +(-1.13088 + 1.95874i) q^{29} +(-7.44715 - 1.48554i) q^{30} +(5.56635 + 5.56635i) q^{31} +(3.48481 - 4.45602i) q^{32} +(2.53833 + 0.680144i) q^{33} +(6.94139 + 1.67999i) q^{34} +(5.87763 + 5.41912i) q^{35} +(-4.65173 + 2.99659i) q^{36} +(2.77401 + 10.3528i) q^{37} +(3.90842 + 6.40438i) q^{38} +(-1.35777 - 8.55122i) q^{39} +(-5.88415 + 2.31878i) q^{40} +(1.31433 + 4.90513i) q^{41} +(12.1384 - 0.295509i) q^{42} +(-5.42714 + 3.13336i) q^{43} +(2.08398 - 0.668660i) q^{44} +(6.18140 - 0.250892i) q^{45} +(2.49864 - 0.735135i) q^{46} +(0.863700 + 0.863700i) q^{47} +(-3.97140 + 8.74614i) q^{48} +(-5.00795 - 2.89134i) q^{49} +(6.98484 + 1.10090i) q^{50} -12.1271 q^{51} +(-4.80750 - 5.37475i) q^{52} -2.97374i q^{53} +(-0.546481 + 0.573754i) q^{54} +(-2.38732 - 0.536944i) q^{55} +(8.36541 - 5.68167i) q^{56} +(-9.00857 - 9.00857i) q^{57} +(-0.902811 - 3.06856i) q^{58} +(0.460556 + 0.123406i) q^{59} +(8.78495 - 6.17725i) q^{60} +(3.70655 + 6.41993i) q^{61} +(-11.1294 + 0.270946i) q^{62} +(-9.55464 + 2.56016i) q^{63} +(1.16418 + 7.91484i) q^{64} +(1.58617 + 7.90469i) q^{65} +(-3.17230 + 1.93597i) q^{66} +(-1.01452 - 3.78624i) q^{67} +(-8.49078 + 5.46966i) q^{68} +(-3.83010 + 2.21131i) q^{69} +(-11.2822 + 0.733318i) q^{70} +(-0.544801 + 2.03323i) q^{71} +(1.46850 - 7.68634i) q^{72} +(-2.89837 + 2.89837i) q^{73} +(-13.3073 - 7.25703i) q^{74} +(-11.9675 + 0.973079i) q^{75} +(-10.3705 - 2.24423i) q^{76} +3.91249 q^{77} +(10.0811 + 6.95015i) q^{78} +10.0013i q^{79} +(3.36467 - 8.28728i) q^{80} +(4.82276 - 8.35326i) q^{81} +(-6.30501 - 3.43837i) q^{82} +(4.74350 - 4.74350i) q^{83} +(-11.5367 + 12.7184i) q^{84} +(11.2829 - 0.457952i) q^{85} +(2.08476 - 8.61379i) q^{86} +(2.71568 + 4.70370i) q^{87} +(-1.34791 + 2.78627i) q^{88} +(-16.9855 + 4.55125i) q^{89} +(-5.77221 + 6.57473i) q^{90} +(-5.24775 - 11.7744i) q^{91} +(-1.68428 + 3.27574i) q^{92} +(18.2596 - 4.89265i) q^{93} +(-1.72689 + 0.0420412i) q^{94} +(8.72166 + 8.04128i) q^{95} +(-5.08283 - 12.5976i) q^{96} +(-3.34821 + 12.4957i) q^{97} +(7.84544 - 2.30823i) q^{98} +(2.14085 - 2.14085i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/260\mathbb{Z}\right)^\times$.

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{12}\right)$	$-1$	$-1$

Coefficient data

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

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

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

$2$	−0.975366	+	1.02404i	−0.689688	+	0.724107i
$2$	−0.975366	+	1.02404i	−0.689688	+	0.724107i
$3$	1.20070	−	2.07967i	0.693222	−	1.20070i	−0.277554	−	0.960710i	$-0.589524\pi$
$3$	1.20070	−	2.07967i	0.693222	−	1.20070i	0.970776	−	0.239986i	$-0.0771429\pi$
$4$	−0.0973226	−	1.99763i	−0.0486613	−	0.998815i
$5$	−1.03858	+	1.98024i	−0.464467	+	0.885590i
$5$	−1.03858	+	1.98024i	−0.464467	+	0.885590i
$6$	0.958547	+	3.25800i	0.391325	+	1.33007i
$7$	0.925353	−	3.45346i	0.349750	−	1.30529i	−0.537213	−	0.843447i	$-0.680523\pi$
$7$	0.925353	−	3.45346i	0.349750	−	1.30529i	0.886963	−	0.461840i	$-0.152810\pi$
$8$	2.14058	+	1.84876i	0.756810	+	0.653635i
$9$	−1.38334	−	2.39602i	−0.461114	−	0.798673i
$10$	−1.01485	−	2.99501i	−0.320925	−	0.947105i
$11$	0.283229	+	1.05703i	0.0853968	+	0.318705i	0.995389	−	0.0959201i	$-0.0305793\pi$
$11$	0.283229	+	1.05703i	0.0853968	+	0.318705i	−0.909992	+	0.414625i	$0.863913\pi$
$12$	−4.27126	−	2.19615i	−1.23301	−	0.633974i
$13$	2.80116	−	2.27013i	0.776903	−	0.629621i
$13$	2.80116	−	2.27013i	0.776903	−	0.629621i
$14$	2.63393	+	4.31599i	0.703948	+	1.15350i
$15$	2.87122	+	4.53757i	0.741346	+	1.17159i
$16$	−3.98106	+	0.388829i	−0.995264	+	0.0972073i
$17$	−2.52501	−	4.37344i	−0.612404	−	1.06071i	−0.990834	−	0.135085i	$-0.956869\pi$
$17$	−2.52501	−	4.37344i	−0.612404	−	1.06071i	0.378430	−	0.925630i	$-0.376464\pi$
$18$	3.80289	+	0.920395i	0.896349	+	0.216939i
$19$	1.37311	−	5.12450i	0.315012	−	1.17564i	−0.608966	−	0.793196i	$-0.708416\pi$
$19$	1.37311	−	5.12450i	0.315012	−	1.17564i	0.923978	−	0.382445i	$-0.124918\pi$
$20$	4.05687	+	1.88198i	0.907143	+	0.420823i
$21$	−6.07098	−	6.07098i	−1.32480	−	1.32480i
$22$	−1.35869	−	0.740948i	−0.289674	−	0.157971i
$23$	−1.59495	−	0.920845i	−0.332570	−	0.192009i	0.324411	−	0.945916i	$-0.394834\pi$
$23$	−1.59495	−	0.920845i	−0.332570	−	0.192009i	−0.656982	+	0.753907i	$0.728167\pi$
$24$	6.41499	−	2.23190i	1.30945	−	0.455585i
$25$	−2.84270	−	4.11328i	−0.568541	−	0.822655i
$26$	−0.407450	+	5.08271i	−0.0799075	+	0.996802i
$27$	0.560284			0.107827
$28$	−6.98880	−	1.51241i	−1.32076	−	0.285819i
$29$	−1.13088	+	1.95874i	−0.209999	+	0.363729i	−0.951714	−	0.306986i	$-0.900679\pi$
$29$	−1.13088	+	1.95874i	−0.209999	+	0.363729i	0.741715	+	0.670715i	$0.234013\pi$
$30$	−7.44715	−	1.48554i	−1.35966	−	0.271221i
$31$	5.56635	+	5.56635i	0.999745	+	0.999745i	1.00000		0.000254552i	$-8.10264e-5\pi$
$31$	5.56635	+	5.56635i	0.999745	+	0.999745i	−0.000254552		1.00000i	$0.500081\pi$
$32$	3.48481	−	4.45602i	0.616033	−	0.787720i
$33$	2.53833	+	0.680144i	0.441867	+	0.118398i
$34$	6.94139	+	1.67999i	1.19044	+	0.288116i
$35$	5.87763	+	5.41912i	0.993501	+	0.915998i
$36$	−4.65173	+	2.99659i	−0.775288	+	0.499432i
$37$	2.77401	+	10.3528i	0.456045	+	1.70198i	0.684997	+	0.728546i	$0.259804\pi$
$37$	2.77401	+	10.3528i	0.456045	+	1.70198i	−0.228952	+	0.973438i	$0.573530\pi$
$38$	3.90842	+	6.40438i	0.634030	+	1.03893i
$39$	−1.35777	−	8.55122i	−0.217417	−	1.36929i
$40$	−5.88415	+	2.31878i	−0.930366	+	0.366632i
$41$	1.31433	+	4.90513i	0.205263	+	0.766053i	0.989369	+	0.145426i	$0.0464552\pi$
$41$	1.31433	+	4.90513i	0.205263	+	0.766053i	−0.784106	+	0.620627i	$0.786878\pi$
$42$	12.1384	−	0.295509i	1.87299	−	0.0455981i
$43$	−5.42714	+	3.13336i	−0.827631	+	0.477833i	−0.853041	−	0.521844i	$-0.825244\pi$
$43$	−5.42714	+	3.13336i	−0.827631	+	0.477833i	0.0254099	+	0.999677i	$0.491911\pi$
$44$	2.08398	−	0.668660i	0.314172	−	0.100804i
$45$	6.18140	−	0.250892i	0.921469	−	0.0374008i
$46$	2.49864	−	0.735135i	0.368405	−	0.108390i
$47$	0.863700	+	0.863700i	0.125984	+	0.125984i	0.767287	−	0.641304i	$-0.221606\pi$
$47$	0.863700	+	0.863700i	0.125984	+	0.125984i	−0.641304	+	0.767287i	$0.721606\pi$
$48$	−3.97140	+	8.74614i	−0.573223	+	1.26240i
$49$	−5.00795	−	2.89134i	−0.715422	−	0.413049i
$50$	6.98484	+	1.10090i	0.987806	+	0.155691i
$51$	−12.1271			−1.69813
$52$	−4.80750	−	5.37475i	−0.666680	−	0.745344i
$53$		−	2.97374i		−	0.408475i	−0.978921	−	0.204237i	$-0.934529\pi$
$53$		−	2.97374i		−	0.408475i	0.978921	−	0.204237i	$-0.0654715\pi$
$54$	−0.546481	+	0.573754i	−0.0743667	+	0.0780780i
$55$	−2.38732	−	0.536944i	−0.321906	−	0.0724015i
$56$	8.36541	−	5.68167i	1.11788	−	0.759245i
$57$	−9.00857	−	9.00857i	−1.19321	−	1.19321i
$58$	−0.902811	−	3.06856i	−0.118545	−	0.402921i
$59$	0.460556	+	0.123406i	0.0599593	+	0.0160661i	0.288674	−	0.957427i	$-0.406786\pi$
$59$	0.460556	+	0.123406i	0.0599593	+	0.0160661i	−0.228715	+	0.973493i	$0.573452\pi$
$60$	8.78495	−	6.17725i	1.13413	−	0.797479i
$61$	3.70655	+	6.41993i	0.474575	+	0.821987i	0.999576	−	0.0291139i	$-0.00926855\pi$
$61$	3.70655	+	6.41993i	0.474575	+	0.821987i	−0.525001	+	0.851101i	$0.675935\pi$
$62$	−11.1294	+	0.270946i	−1.41343	+	0.0344102i
$63$	−9.55464	+	2.56016i	−1.20377	+	0.322550i
$64$	1.16418	+	7.91484i	0.145523	+	0.989355i
$65$	1.58617	+	7.90469i	0.196741	+	0.980456i
$66$	−3.17230	+	1.93597i	−0.390483	+	0.238301i
$67$	−1.01452	−	3.78624i	−0.123943	−	0.462563i	0.875856	−	0.482572i	$-0.160297\pi$
$67$	−1.01452	−	3.78624i	−0.123943	−	0.462563i	−0.999800	+	0.0200088i	$0.993631\pi$
$68$	−8.49078	+	5.46966i	−1.02966	+	0.663294i
$69$	−3.83010	+	2.21131i	−0.461090	+	0.266210i
$70$	−11.2822	+	0.733318i	−1.34849	+	0.0876482i
$71$	−0.544801	+	2.03323i	−0.0646560	+	0.241299i	−0.990689	−	0.136142i	$-0.956530\pi$
$71$	−0.544801	+	2.03323i	−0.0646560	+	0.241299i	0.926033	+	0.377442i	$0.123196\pi$
$72$	1.46850	−	7.68634i	0.173065	−	0.905844i
$73$	−2.89837	+	2.89837i	−0.339228	+	0.339228i	−0.856077	−	0.516849i	$-0.827105\pi$
$73$	−2.89837	+	2.89837i	−0.339228	+	0.339228i	0.516849	+	0.856077i	$0.327105\pi$
$74$	−13.3073	−	7.25703i	−1.54695	−	0.843612i
$75$	−11.9675	+	0.973079i	−1.38188	+	0.112361i
$76$	−10.3705	−	2.24423i	−1.18958	−	0.257431i
$77$	3.91249			0.445869
$78$	10.0811	+	6.95015i	1.14146	+	0.786950i
$79$			10.0013i			1.12523i	0.826719	+	0.562615i	$0.190205\pi$
$79$			10.0013i			1.12523i	−0.826719	+	0.562615i	$0.809795\pi$
$80$	3.36467	−	8.28728i	0.376182	−	0.926546i
$81$	4.82276	−	8.35326i	0.535862	−	0.928140i
$82$	−6.30501	−	3.43837i	−0.696272	−	0.379705i
$83$	4.74350	−	4.74350i	0.520667	−	0.520667i	−0.397106	−	0.917773i	$-0.629986\pi$
$83$	4.74350	−	4.74350i	0.520667	−	0.520667i	0.917773	+	0.397106i	$0.129986\pi$
$84$	−11.5367	+	12.7184i	−1.25876	+	1.38769i
$85$	11.2829	−	0.457952i	1.22380	−	0.0496718i
$86$	2.08476	−	8.61379i	0.224805	−	0.928849i
$87$	2.71568	+	4.70370i	0.291152	+	0.504290i
$88$	−1.34791	+	2.78627i	−0.143688	+	0.297018i
$89$	−16.9855	+	4.55125i	−1.80046	+	0.482432i	−0.994050	−	0.108924i	$-0.965260\pi$
$89$	−16.9855	+	4.55125i	−1.80046	+	0.482432i	−0.806411	+	0.591356i	$0.798593\pi$
$90$	−5.77221	+	6.57473i	−0.608444	+	0.693037i
$91$	−5.24775	−	11.7744i	−0.550114	−	1.23429i
$92$	−1.68428	+	3.27574i	−0.175599	+	0.341520i
$93$	18.2596	−	4.89265i	1.89344	−	0.507345i
$94$	−1.72689	+	0.0420412i	−0.178115	+	0.00433622i
$95$	8.72166	+	8.04128i	0.894824	+	0.825018i
$96$	−5.08283	−	12.5976i	−0.518765	−	1.28573i
$97$	−3.34821	+	12.4957i	−0.339959	+	1.26875i	0.558432	+	0.829550i	$0.311403\pi$
$97$	−3.34821	+	12.4957i	−0.339959	+	1.26875i	−0.898392	+	0.439195i	$0.855264\pi$
$98$	7.84544	−	2.30823i	0.792509	−	0.233167i
$99$	2.14085	−	2.14085i	0.215164	−	0.215164i
$100$	−7.94015	+	6.07898i	−0.794015	+	0.607898i
$101$	13.7540	+	7.94088i	1.36858	+	0.790148i	0.990746	−	0.135728i	$-0.0433372\pi$
$101$	13.7540	+	7.94088i	1.36858	+	0.790148i	0.377830	+	0.925875i	$0.376671\pi$
$102$	11.8283	−	12.4186i	1.17118	−	1.22963i
$103$		−	5.88759i		−	0.580121i	−0.957008	−	0.290061i	$-0.906325\pi$
$103$		−	5.88759i		−	0.580121i	0.957008	−	0.290061i	$-0.0936755\pi$
$104$	10.1930	+	0.319271i	0.999510	+	0.0313071i
$105$	18.3272	−	5.71680i	1.78855	−	0.557903i
$106$	3.04524	+	2.90049i	0.295779	+	0.281720i
$107$	8.81449	−	15.2671i	0.852128	−	1.47593i	−0.0271552	−	0.999631i	$-0.508645\pi$
$107$	8.81449	−	15.2671i	0.852128	−	1.47593i	0.879284	−	0.476299i	$-0.158022\pi$
$108$	−0.0545282	−	1.11924i	−0.00524698	−	0.107699i
$109$	−4.10541	+	4.10541i	−0.393227	+	0.393227i	−0.875836	−	0.482609i	$-0.839689\pi$
$109$	−4.10541	+	4.10541i	−0.393227	+	0.393227i	0.482609	+	0.875836i	$0.339689\pi$
$110$	2.87836	−	1.92100i	0.274441	−	0.183160i
$111$	24.8610	+	6.66150i	2.35971	+	0.632281i
$112$	−2.34107	+	14.1082i	−0.221211	+	1.33310i
$113$	−11.5204	+	6.65131i	−1.08375	+	0.625703i	−0.931905	−	0.362702i	$-0.881854\pi$
$113$	−11.5204	+	6.65131i	−1.08375	+	0.625703i	−0.151844	+	0.988405i	$0.548521\pi$
$114$	18.0118	−	0.438498i	1.68696	−	0.0410691i
$115$	3.47998	−	2.20201i	0.324510	−	0.205339i
$116$	4.02290	+	2.06845i	0.373517	+	0.192051i
$117$	−9.31424	−	3.57127i	−0.861102	−	0.330164i
$118$	−0.575584	+	0.351263i	−0.0529868	+	0.0323364i
$119$	−17.4400	+	4.67304i	−1.59872	+	0.428377i
$120$	−2.24278	+	15.0212i	−0.204737	+	1.37124i
$121$	8.48919	−	4.90124i	0.771745	−	0.445567i
$122$	−10.1895	−	2.46612i	−0.922515	−	0.223272i
$123$	11.7791	+	3.15621i	1.06209	+	0.284586i
$124$	10.5778	−	11.6612i	0.949912	−	1.04721i
$125$	11.0976	−	1.35727i	0.992604	−	0.121398i
$126$	6.69756	−	12.2814i	0.596666	−	1.09412i
$127$	−2.77479	−	1.60203i	−0.246223	−	0.142157i	0.371811	−	0.928309i	$-0.378737\pi$
$127$	−2.77479	−	1.60203i	−0.246223	−	0.142157i	−0.618034	+	0.786152i	$0.712070\pi$
$128$	−9.24063	−	6.52769i	−0.816764	−	0.576972i
$129$			15.0489i			1.32498i
$130$	−9.64183	−	6.08565i	−0.845644	−	0.533747i
$131$		−	4.35049i		−	0.380104i	−0.981774	−	0.190052i	$-0.939134\pi$
$131$		−	4.35049i		−	0.380104i	0.981774	−	0.190052i	$-0.0608657\pi$
$132$	1.11164	−	5.13685i	0.0967559	−	0.447105i
$133$	−16.4267	−	9.48394i	−1.42437	−	0.822362i
$134$	4.86680	+	2.65406i	0.420427	+	0.229276i
$135$	−0.581899	+	1.10950i	−0.0500819	+	0.0954902i
$136$	2.68045	−	14.0298i	0.229847	−	1.20305i
$137$	0.779313	+	0.208816i	0.0665812	+	0.0178404i	0.291956	−	0.956432i	$-0.405694\pi$
$137$	0.779313	+	0.208816i	0.0665812	+	0.0178404i	−0.225375	+	0.974272i	$0.572361\pi$
$138$	1.47128	−	6.07902i	0.125243	−	0.517481i
$139$	17.1050	−	9.87558i	1.45083	−	0.837636i	0.452299	−	0.891866i	$-0.350604\pi$
$139$	17.1050	−	9.87558i	1.45083	−	0.837636i	0.998528	+	0.0542309i	$0.0172707\pi$
$140$	10.2534	−	12.2687i	0.866568	−	1.03690i
$141$	2.83325	−	0.759167i	0.238603	−	0.0639334i
$142$	−1.55073	−	2.54104i	−0.130134	−	0.213239i
$143$	3.19296	+	2.31793i	0.267009	+	0.193835i
$144$	6.43880	+	9.00080i	0.536567	+	0.750067i
$145$	−2.70427	−	4.27372i	−0.224577	−	0.354913i
$146$	−0.141080	−	5.79501i	−0.0116759	−	0.479599i
$147$	−12.0261	+	6.94325i	−0.991892	+	0.572669i
$148$	20.4110	−	6.54901i	1.67778	−	0.538326i
$149$	0.868204	+	0.232634i	0.0711260	+	0.0190582i	0.294207	−	0.955742i	$-0.404945\pi$
$149$	0.868204	+	0.232634i	0.0711260	+	0.0190582i	−0.223081	+	0.974800i	$0.571611\pi$
$150$	10.6762	−	13.2043i	0.871707	−	1.07813i
$151$	−9.13323	+	9.13323i	−0.743251	+	0.743251i	−0.973202	−	0.229951i	$-0.926143\pi$
$151$	−9.13323	+	9.13323i	−0.743251	+	0.743251i	0.229951	+	0.973202i	$0.426143\pi$
$152$	12.4132	−	8.43087i	1.00684	−	0.683834i
$153$	−6.98589	+	12.0999i	−0.564776	+	0.978221i
$154$	−3.81611	+	4.00655i	−0.307511	+	0.322857i
$155$	−16.8038	+	5.24161i	−1.34971	+	0.421016i
$156$	−16.9500	+	3.54455i	−1.35709	+	0.283791i
$157$		−	8.73438i		−	0.697080i	−0.937294	−	0.348540i	$-0.886678\pi$
$157$		−	8.73438i		−	0.697080i	0.937294	−	0.348540i	$-0.113322\pi$
$158$	−10.2417	−	9.75489i	−0.814786	−	0.776057i
$159$	−6.18439	−	3.57056i	−0.490454	−	0.283164i
$160$	5.20473	+	11.5287i	0.411470	+	0.911423i
$161$	−4.65600	+	4.65600i	−0.366944	+	0.366944i
$162$	3.85013	+	13.0862i	0.302495	+	1.02815i
$163$	−3.94235	+	14.7130i	−0.308788	+	1.15241i	0.620847	+	0.783932i	$0.286789\pi$
$163$	−3.94235	+	14.7130i	−0.308788	+	1.15241i	−0.929635	+	0.368482i	$0.879878\pi$
$164$	9.67073	−	3.10292i	0.755157	−	0.242297i
$165$	−3.98311	+	4.32013i	−0.310085	+	0.336321i
$166$	0.230893	+	9.48419i	0.0179208	+	0.736116i
$167$	−6.36567	+	1.70568i	−0.492590	+	0.131989i	−0.496559	−	0.868003i	$-0.665403\pi$
$167$	−6.36567	+	1.70568i	−0.492590	+	0.131989i	0.00396871	+	0.999992i	$0.498737\pi$
$168$	−1.77166	−	24.2192i	−0.136686	−	1.86855i
$169$	2.69301	−	12.7180i	0.207155	−	0.978308i
$170$	−10.5360	+	12.0008i	−0.808072	+	0.920420i
$171$	−14.1779	+	3.79895i	−1.08421	+	0.290513i
$172$	6.78748	+	10.5365i	0.517540	+	0.803399i
$173$	6.82653	+	11.8239i	0.519011	+	0.898954i	0.999756	+	0.0220935i	$0.00703315\pi$
$173$	6.82653	+	11.8239i	0.519011	+	0.898954i	−0.480744	+	0.876861i	$0.659634\pi$
$174$	−7.46558	−	1.80686i	−0.565964	−	0.136978i
$175$	−16.8355	+	6.01094i	−1.27265	+	0.454384i
$176$	−1.53855	−	4.09795i	−0.115973	−	0.308895i
$177$	0.809631	−	0.809631i	0.0608556	−	0.0608556i
$178$	11.9064	−	21.8330i	0.892424	−	1.63645i
$179$	−2.86603	+	4.96411i	−0.214217	+	0.371035i	−0.953030	−	0.302875i	$-0.902053\pi$
$179$	−2.86603	+	4.96411i	−0.214217	+	0.371035i	0.738813	+	0.673911i	$0.235387\pi$
$180$	−1.10278	−	12.3237i	−0.0821963	−	0.918558i
$181$		−	5.18370i		−	0.385301i	−0.981267	−	0.192651i	$-0.938292\pi$
$181$		−	5.18370i		−	0.385301i	0.981267	−	0.192651i	$-0.0617084\pi$
$182$	17.1759	+	6.11042i	1.27316	+	0.452934i
$183$	17.8017			1.31594
$184$	−1.71170	−	4.91982i	−0.126188	−	0.362694i
$185$	−23.3820	−	5.25896i	−1.71908	−	0.386646i
$186$	−12.7995	+	23.4708i	−0.938508	+	1.72096i
$187$	3.90768	−	3.90768i	0.285758	−	0.285758i
$188$	1.64130	−	1.80941i	0.119704	−	0.131965i
$189$	0.518460	−	1.93492i	0.0377124	−	0.140745i
$190$	−16.7414	+	1.08815i	−1.21455	+	0.0789427i
$191$	14.6524	−	8.45956i	1.06021	−	0.612112i	0.134720	−	0.990884i	$-0.456987\pi$
$191$	14.6524	−	8.45956i	1.06021	−	0.612112i	0.925490	+	0.378771i	$0.123653\pi$
$192$	17.8581	+	7.08220i	1.28879	+	0.511114i
$193$	−0.614365	−	2.29284i	−0.0442230	−	0.165042i	0.940283	−	0.340394i	$-0.110560\pi$
$193$	−0.614365	−	2.29284i	−0.0442230	−	0.165042i	−0.984506	+	0.175352i	$0.943894\pi$
$194$	−9.53038	−	15.6166i	−0.684241	−	1.12121i
$195$	18.3436	+	6.19241i	1.31361	+	0.443448i
$196$	−5.28845	+	10.2854i	−0.377746	+	0.734674i
$197$	10.8027	−	2.89456i	0.769658	−	0.206229i	0.147437	−	0.989071i	$-0.452898\pi$
$197$	10.8027	−	2.89456i	0.769658	−	0.206229i	0.622220	+	0.782842i	$0.286231\pi$
$198$	0.104207	+	4.28043i	0.00740570	+	0.304197i
$199$	−6.34952	−	10.9977i	−0.450106	−	0.779606i	0.548286	−	0.836291i	$-0.315280\pi$
$199$	−6.34952	−	10.9977i	−0.450106	−	0.779606i	−0.998392	+	0.0566848i	$0.981947\pi$
$200$	1.51942	−	14.0603i	0.107439	−	0.994212i
$201$	−9.09225	−	2.43626i	−0.641318	−	0.171841i
$202$	−21.5470	+	6.33942i	−1.51604	+	0.446040i
$203$	5.71798	+	5.71798i	0.401323	+	0.401323i
$204$	1.18024	+	24.2254i	0.0826331	+	1.69612i
$205$	−11.0784	−	2.49169i	−0.773747	−	0.174027i
$206$	6.02913	+	5.74255i	0.420070	+	0.400103i
$207$			5.09538i			0.354153i
$208$	−10.2689	+	10.1267i	−0.712019	+	0.702160i
$209$	5.80563			0.401584
$210$	−12.0215	+	24.3438i	−0.829562	+	1.67988i
$211$	0.199760	+	0.115331i	0.0137520	+	0.00793974i	0.506860	−	0.862028i	$-0.330806\pi$
$211$	0.199760	+	0.115331i	0.0137520	+	0.00793974i	−0.493108	+	0.869968i	$0.664139\pi$
$212$	−5.94044	+	0.289412i	−0.407991	+	0.0198769i
$213$	3.57429	+	3.57429i	0.244906	+	0.244906i
$214$	7.03683	+	23.9174i	0.481028	+	1.63496i
$215$	−0.568287	−	14.0013i	−0.0387568	−	0.954880i
$216$	1.19933	+	1.03583i	0.0816043	+	0.0704792i
$217$	24.3740	−	14.0723i	1.65462	−	0.955293i
$218$	−0.199834	−	8.20839i	−0.0135344	−	0.555942i
$219$	2.54758	+	9.50769i	0.172149	+	0.642470i
$220$	−0.840276	+	4.82124i	−0.0566514	+	0.325048i
$221$	−17.0012	−	6.51862i	−1.14363	−	0.438490i
$222$	−31.0703	+	18.9613i	−2.08530	+	1.27260i
$223$	3.28760	+	12.2695i	0.220154	+	0.821626i	0.984288	+	0.176569i	$0.0564997\pi$
$223$	3.28760	+	12.2695i	0.220154	+	0.821626i	−0.764134	+	0.645057i	$0.776834\pi$
$224$	−12.1640	−	16.1581i	−0.812743	−	1.07961i
$225$	−5.92306	+	12.5012i	−0.394870	+	0.833416i
$226$	4.42540	−	18.2848i	0.294373	−	1.21629i
$227$	−7.12776	−	1.90988i	−0.473086	−	0.126763i	0.0143952	−	0.999896i	$-0.495418\pi$
$227$	−7.12776	−	1.90988i	−0.473086	−	0.126763i	−0.487482	+	0.873133i	$0.662084\pi$
$228$	−17.1191	+	18.8725i	−1.13374	+	1.24986i
$229$	−12.6366	−	12.6366i	−0.835053	−	0.835053i	0.153150	−	0.988203i	$-0.451058\pi$
$229$	−12.6366	−	12.6366i	−0.835053	−	0.835053i	−0.988203	+	0.153150i	$0.951058\pi$
$230$	−1.13930	+	5.71141i	−0.0751231	+	0.376599i
$231$	4.69771	−	8.13667i	0.309086	−	0.535353i
$232$	−6.04198	+	2.10212i	−0.396675	+	0.138011i
$233$	5.85711			0.383712			0.191856	−	0.981423i	$-0.438549\pi$
$233$	5.85711			0.383712			0.191856	+	0.981423i	$0.438549\pi$
$234$	12.7419	−	6.05487i	0.832965	−	0.395820i
$235$	−2.60736	+	0.813312i	−0.170085	+	0.0530546i
$236$	0.201697	−	0.932032i	0.0131293	−	0.0606701i
$237$	20.7993	+	12.0085i	1.35106	+	0.780034i
$238$	12.2250	−	22.4172i	0.792430	−	1.45309i
$239$	−21.2666	−	21.2666i	−1.37562	−	1.37562i	−0.851876	−	0.523743i	$-0.824535\pi$
$239$	−21.2666	−	21.2666i	−1.37562	−	1.37562i	−0.523743	−	0.851876i	$-0.675465\pi$
$240$	−13.1948	−	16.9479i	−0.851722	−	1.09398i
$241$	−1.73420	+	6.47212i	−0.111710	+	0.416906i	−0.999020	−	0.0442673i	$-0.985905\pi$
$241$	−1.73420	+	6.47212i	−0.111710	+	0.416906i	0.887310	+	0.461173i	$0.152571\pi$
$242$	−3.26100	+	13.4738i	−0.209625	+	0.866128i
$243$	−10.7409	−	18.6038i	−0.689029	−	1.19343i
$244$	12.4639	−	8.02912i	0.797920	−	0.514011i
$245$	10.9267	−	6.91406i	0.698082	−	0.441723i
$246$	−14.7211	+	8.98387i	−0.938581	+	0.572791i
$247$	−7.78699	−	17.4717i	−0.495475	−	1.11170i
$248$	1.62439	+	22.2061i	0.103149	+	1.41009i
$249$	−4.16940	−	15.5604i	−0.264225	−	0.986100i
$250$	−9.43437	+	12.6883i	−0.596682	+	0.802478i
$251$	−0.952103	−	1.64909i	−0.0600962	−	0.104090i	0.834412	−	0.551141i	$-0.185807\pi$
$251$	−0.952103	−	1.64909i	−0.0600962	−	0.104090i	−0.894508	+	0.447051i	$0.852474\pi$
$252$	6.04413	+	18.8375i	0.380745	+	1.18665i
$253$	0.521621	−	1.94671i	0.0327940	−	0.122389i
$254$	4.34698	−	1.27894i	0.272754	−	0.0802479i
$255$	12.5949	−	24.0145i	0.788725	−	1.50385i
$256$	15.6976	−	3.09590i	0.981101	−	0.193494i
$257$	−2.25107	+	3.89896i	−0.140418	+	0.243210i	−0.927654	−	0.373441i	$-0.878178\pi$
$257$	−2.25107	+	3.89896i	−0.140418	+	0.243210i	0.787236	+	0.616651i	$0.211511\pi$
$258$	−15.4107	−	14.6781i	−0.959425	−	0.913821i
$259$	38.3198			2.38108
$260$	15.6363	−	3.93789i	0.969720	−	0.244218i
$261$	6.25757			0.387334
$262$	4.45509	+	4.24332i	0.275236	+	0.262153i
$263$	−9.56642	+	16.5695i	−0.589891	+	1.02172i	0.404355	+	0.914602i	$0.367496\pi$
$263$	−9.56642	+	16.5695i	−0.589891	+	1.02172i	−0.994246	+	0.107119i	$0.965837\pi$
$264$	4.17609	+	6.14867i	0.257020	+	0.378425i
$265$	5.88872	+	3.08847i	0.361741	+	0.189723i
$266$	25.7340	−	7.57128i	1.57785	−	0.464225i
$267$	−10.9293	+	40.7889i	−0.668865	+	2.49624i
$268$	−7.46477	+	2.39512i	−0.455984	+	0.146305i
$269$	7.87208	+	13.6348i	0.479969	+	0.831331i	0.999736	−	0.0229772i	$-0.00731450\pi$
$269$	7.87208	+	13.6348i	0.479969	+	0.831331i	−0.519767	+	0.854308i	$0.673981\pi$
$270$	−0.568605	−	1.67805i	−0.0346042	−	0.102123i
$271$	−2.97407	−	11.0994i	−0.180662	−	0.674240i	−0.995518	−	0.0945760i	$-0.969850\pi$
$271$	−2.97407	−	11.0994i	−0.180662	−	0.674240i	0.814856	−	0.579664i	$-0.196816\pi$
$272$	11.7527	+	16.4291i	0.712613	+	0.996161i
$273$	−30.7877	−	3.22388i	−1.86336	−	0.195118i
$274$	−0.973952	+	0.594376i	−0.0588386	+	0.0359076i
$275$	3.54270	−	4.16981i	0.213633	−	0.251449i
$276$	4.79014	+	7.43592i	0.288332	+	0.447590i
$277$	4.35111	+	7.53635i	0.261433	+	0.452815i	0.966623	−	0.256203i	$-0.0824716\pi$
$277$	4.35111	+	7.53635i	0.261433	+	0.452815i	−0.705190	+	0.709018i	$0.749138\pi$
$278$	−6.57063	+	27.1485i	−0.394080	+	1.62826i
$279$	5.63691	−	21.0372i	0.337473	−	1.25947i
$280$	2.56291	+	22.4664i	0.153163	+	1.34262i
$281$	6.06779	+	6.06779i	0.361974	+	0.361974i	0.864539	−	0.502565i	$-0.167610\pi$
$281$	6.06779	+	6.06779i	0.361974	+	0.361974i	−0.502565	+	0.864539i	$0.667610\pi$
$282$	−1.98604	+	3.64183i	−0.118267	+	0.216868i
$283$	−9.86004	−	5.69270i	−0.586119	−	0.338396i	0.177443	−	0.984131i	$-0.443218\pi$
$283$	−9.86004	−	5.69270i	−0.586119	−	0.338396i	−0.763561	+	0.645735i	$0.776551\pi$
$284$	4.11465	+	0.890433i	0.244160	+	0.0528375i
$285$	27.1953	−	8.48301i	1.61091	−	0.502490i
$286$	−5.48796	+	1.00889i	−0.324510	+	0.0596568i
$287$	18.1559			1.07171
$288$	−15.4974	−	2.18547i	−0.913192	−	0.128780i
$289$	−4.25131	+	7.36349i	−0.250077	+	0.433146i
$290$	7.01412	+	1.39916i	0.411883	+	0.0821615i
$291$	21.9667	+	21.9667i	1.28771	+	1.28771i
$292$	6.07194	+	5.50779i	0.355333	+	0.322319i
$293$	−2.23820	−	0.599724i	−0.130757	−	0.0350362i	0.192847	−	0.981229i	$-0.438228\pi$
$293$	−2.23820	−	0.599724i	−0.130757	−	0.0350362i	−0.323604	+	0.946193i	$0.604895\pi$
$294$	4.61963	−	19.0874i	0.269422	−	1.11320i
$295$	−0.722698	+	0.783846i	−0.0420771	+	0.0456373i
$296$	−13.2018	+	27.2894i	−0.767336	+	1.58617i
$297$	0.158689	+	0.592234i	0.00920805	+	0.0343649i
$298$	−1.08504	+	0.662173i	−0.0628549	+	0.0383587i
$299$	−6.55815	+	1.04131i	−0.379268	+	0.0602205i
$300$	3.10856	+	23.8119i	0.179473	+	1.37478i
$301$	5.79893	+	21.6419i	0.334245	+	1.24742i
$302$	−0.444566	−	18.2610i	−0.0255819	−	1.05080i
$303$	33.0288	−	19.0692i	1.89745	−	1.09550i
$304$	−3.47386	+	20.9348i	−0.199239	+	1.20069i
$305$	−16.5625	+	0.672244i	−0.948369	+	0.0384926i
$306$	−5.57702	−	18.9557i	−0.318817	−	1.08363i
$307$	13.0103	+	13.0103i	0.742535	+	0.742535i	0.973065	−	0.230530i	$-0.0740461\pi$
$307$	13.0103	+	13.0103i	0.742535	+	0.742535i	−0.230530	+	0.973065i	$0.574046\pi$
$308$	−0.380773	−	7.81570i	−0.0216966	−	0.445341i
$309$	−12.2442	−	7.06920i	−0.696549	−	0.402153i
$310$	11.0222	−	22.3203i	0.626021	−	1.26771i
$311$	−28.4487			−1.61318			−0.806588	−	0.591114i	$-0.798689\pi$
$311$	−28.4487			−1.61318			−0.806588	+	0.591114i	$0.798689\pi$
$312$	12.9027	−	20.8148i	0.730473	−	1.17840i
$313$		−	0.513132i		−	0.0290039i	−0.999895	−	0.0145020i	$-0.995384\pi$
$313$		−	0.513132i		−	0.0290039i	0.999895	−	0.0145020i	$-0.00461628\pi$
$314$	8.94437	+	8.51922i	0.504760	+	0.480767i
$315$	4.85353	−	21.5794i	0.273466	−	1.21586i
$316$	19.9788	−	0.973348i	1.12390	−	0.0547551i
$317$	−21.3310	−	21.3310i	−1.19807	−	1.19807i	−0.974744	−	0.223326i	$-0.928308\pi$
$317$	−21.3310	−	21.3310i	−1.19807	−	1.19807i	−0.223326	−	0.974744i	$-0.571692\pi$
$318$	9.68845	−	2.85047i	0.543301	−	0.159847i
$319$	−2.39074	−	0.640596i	−0.133856	−	0.0358665i
$320$	−16.8824	−	5.91483i	−0.943754	−	0.330649i
$321$	−21.1670	−	36.6624i	−1.18143	−	2.04629i
$322$	−0.226634	−	9.30923i	−0.0126298	−	0.518783i
$323$	−25.8788	+	6.93420i	−1.43993	+	0.385829i
$324$	−17.1561	−	8.82112i	−0.953116	−	0.490062i
$325$	−17.3005	−	5.06865i	−0.959662	−	0.281158i
$326$	−11.2215	−	18.3877i	−0.621503	−	1.01840i
$327$	3.60853	+	13.4672i	0.199552	+	0.744740i
$328$	−6.25498	+	12.9297i	−0.345374	+	0.713924i
$329$	3.78198	−	2.18353i	0.208507	−	0.120382i
$330$	−0.538997	−	8.29258i	−0.0296708	−	0.456491i
$331$	−4.26130	+	15.9034i	−0.234222	+	0.874130i	0.744275	+	0.667873i	$0.232795\pi$
$331$	−4.26130	+	15.9034i	−0.234222	+	0.874130i	−0.978498	+	0.206257i	$0.933872\pi$
$332$	−9.93741	−	9.01411i	−0.545386	−	0.494713i
$333$	20.9680	−	20.9680i	1.14904	−	1.14904i
$334$	4.46217	−	8.18237i	0.244159	−	0.447719i
$335$	8.55133	+	1.92332i	0.467209	+	0.105082i
$336$	26.5295	+	21.8084i	1.44730	+	1.18974i
$337$	−20.9355			−1.14043			−0.570215	−	0.821496i	$-0.693140\pi$
$337$	−20.9355			−1.14043			−0.570215	+	0.821496i	$0.693140\pi$
$338$	10.3971	+	15.1625i	0.565527	+	0.824730i
$339$			31.9448i			1.73500i
$340$	−2.01290	−	22.4945i	−0.109165	−	1.21993i
$341$	−4.30722	+	7.46032i	−0.233249	+	0.403999i
$342$	9.93833	−	18.2241i	0.537403	−	0.985446i
$343$	3.07751	−	3.07751i	0.166170	−	0.166170i
$344$	−17.4101	−	3.32626i	−0.938688	−	0.179340i
$345$	−0.401058	−	9.88114i	−0.0215922	−	0.531983i
$346$	−18.7665	−	4.54198i	−1.00889	−	0.244178i
$347$	−3.71573	−	6.43583i	−0.199471	−	0.345493i	0.748886	−	0.662699i	$-0.230589\pi$
$347$	−3.71573	−	6.43583i	−0.199471	−	0.345493i	−0.948357	+	0.317205i	$0.897256\pi$
$348$	9.13197	−	5.88271i	0.489525	−	0.315346i
$349$	4.26980	−	1.14409i	0.228557	−	0.0612418i	−0.142723	−	0.989763i	$-0.545586\pi$
$349$	4.26980	−	1.14409i	0.228557	−	0.0612418i	0.371280	+	0.928521i	$0.378919\pi$
$350$	10.2654	−	23.1032i	0.548707	−	1.23492i
$351$	1.56944	−	1.27192i	0.0837708	−	0.0678899i
$352$	5.69713	+	2.42146i	0.303658	+	0.129064i
$353$	12.0977	−	3.24156i	0.643894	−	0.172531i	0.0779272	−	0.996959i	$-0.475170\pi$
$353$	12.0977	−	3.24156i	0.643894	−	0.172531i	0.565966	+	0.824428i	$0.308503\pi$
$354$	0.0394094	+	1.61878i	0.00209458	+	0.0860373i
$355$	−3.46046	−	3.19050i	−0.183662	−	0.169334i
$356$	10.7448	+	33.4878i	0.569473	+	1.77485i
$357$	−11.2218	+	41.8803i	−0.593921	+	2.21654i
$358$	−2.28803	−	7.77676i	−0.120926	−	0.411015i
$359$	3.21110	−	3.21110i	0.169476	−	0.169476i	−0.617273	−	0.786749i	$-0.711763\pi$
$359$	3.21110	−	3.21110i	0.169476	−	0.169476i	0.786749	+	0.617273i	$0.211763\pi$
$360$	13.6956	+	10.8909i	0.721824	+	0.573999i
$361$	−7.92060	−	4.57296i	−0.416874	−	0.240682i
$362$	5.30832	+	5.05600i	0.278999	+	0.265738i
$363$		−	23.5396i		−	1.23551i
$364$	−23.0101	+	11.6290i	−1.20606	+	0.609524i
$365$	−2.72927	−	8.74964i	−0.142857	−	0.457977i
$366$	−17.3632	+	18.2297i	−0.907590	+	0.952883i
$367$	−8.73458	+	15.1287i	−0.455941	+	0.789713i	−0.998742	−	0.0501483i	$-0.984031\pi$
$367$	−8.73458	+	15.1287i	−0.455941	+	0.789713i	0.542801	+	0.839862i	$0.317364\pi$
$368$	6.70764	+	3.04577i	0.349660	+	0.158772i
$369$	9.93463	−	9.93463i	0.517176	−	0.517176i
$370$	28.1914	−	18.8147i	1.46560	−	0.978131i
$371$	−10.2697	−	2.75176i	−0.533177	−	0.142864i
$372$	−11.5508	−	35.9998i	−0.598881	−	1.86650i
$373$	3.31363	−	1.91312i	0.171573	−	0.0990578i	−0.411754	−	0.911295i	$-0.635084\pi$
$373$	3.31363	−	1.91312i	0.171573	−	0.0990578i	0.583327	+	0.812237i	$0.301750\pi$
$374$	0.190209	+	7.81305i	0.00983548	+	0.404003i
$375$	10.5022	−	24.7091i	0.542333	−	1.27597i
$376$	0.252048	+	3.44559i	0.0129984	+	0.177693i
$377$	1.27882	+	8.05399i	0.0658626	+	0.414802i
$378$	1.47575	+	2.41818i	0.0759043	+	0.124378i
$379$	23.9511	−	6.41769i	1.23029	−	0.329655i	0.415596	−	0.909549i	$-0.363573\pi$
$379$	23.9511	−	6.41769i	1.23029	−	0.329655i	0.814692	+	0.579895i	$0.196906\pi$
$380$	15.2147	−	18.2053i	0.780498	−	0.933910i
$381$	−6.66337	+	3.84710i	−0.341375	+	0.197093i
$382$	−5.62850	+	23.2558i	−0.287979	+	1.18987i
$383$	−31.5316	−	8.44887i	−1.61119	−	0.431717i	−0.662793	−	0.748803i	$-0.730629\pi$
$383$	−31.5316	−	8.44887i	−1.61119	−	0.431717i	−0.948397	+	0.317085i	$0.897296\pi$
$384$	−24.6706	+	11.3797i	−1.25897	+	0.580716i
$385$	−4.06343	+	7.74766i	−0.207092	+	0.394857i
$386$	2.94720	+	1.60722i	0.150008	+	0.0818056i
$387$	15.0152	+	8.66902i	0.763264	+	0.440671i
$388$	25.2876	+	5.47238i	1.28379	+	0.277818i
$389$			19.2094i			0.973953i	0.873415	+	0.486977i	$0.161900\pi$
$389$			19.2094i			0.973953i	−0.873415	+	0.486977i	$0.838100\pi$
$390$	−24.2330	+	12.7448i	−1.22709	+	0.645356i
$391$			9.30056i			0.470349i
$392$	−5.37454	−	15.4476i	−0.271455	−	0.780224i
$393$	−9.04757	−	5.22362i	−0.456390	−	0.263497i
$394$	−7.57239	+	13.8856i	−0.381492	+	0.699548i
$395$	−19.8049	−	10.3871i	−0.996492	−	0.522632i
$396$	−4.48498	−	4.06828i	−0.225379	−	0.204439i
$397$	5.12919	+	1.37436i	0.257427	+	0.0689772i	0.385224	−	0.922823i	$-0.374124\pi$
$397$	5.12919	+	1.37436i	0.257427	+	0.0689772i	−0.127798	+	0.991800i	$0.540791\pi$
$398$	17.4552	+	4.22460i	0.874950	+	0.211760i
$399$	−39.4469	+	22.7747i	−1.97481	+	1.14016i
$400$	12.9163	+	15.2699i	0.645816	+	0.763493i
$401$	12.0446	−	3.22735i	0.601480	−	0.161166i	0.0547852	−	0.998498i	$-0.482553\pi$
$401$	12.0446	−	3.22735i	0.601480	−	0.161166i	0.546694	+	0.837332i	$0.315886\pi$
$402$	11.3631	−	6.93459i	0.566740	−	0.345866i
$403$	28.2286	+	2.95590i	1.40617	+	0.147244i
$404$	14.5244	−	28.2483i	0.722615	−	1.40540i
$405$	11.5326	+	18.2257i	0.573061	+	0.905644i
$406$	−11.4326	+	0.278326i	−0.567389	+	0.0138131i
$407$	−10.1575	+	5.86441i	−0.503486	+	0.290688i
$408$	−25.9590	−	22.4200i	−1.28516	−	1.10996i
$409$	24.6552	+	6.60635i	1.21912	+	0.326663i	0.810336	−	0.585966i	$-0.199285\pi$
$409$	24.6552	+	6.60635i	1.21912	+	0.326663i	0.408788	+	0.912629i	$0.365952\pi$
$410$	13.3571	−	8.91440i	0.659658	−	0.440251i
$411$	1.36999	−	1.36999i	0.0675764	−	0.0675764i
$412$	−11.7612	+	0.572995i	−0.579434	+	0.0282294i
$413$	0.852354	−	1.47632i	0.0419416	−	0.0726450i
$414$	−5.21788	−	4.96986i	−0.256445	−	0.244255i
$415$	4.46676	+	14.3198i	0.219265	+	0.702930i
$416$	−0.354227	−	20.3930i	−0.0173674	−	0.999849i
$417$		−	47.4303i		−	2.32267i
$418$	−5.66262	+	5.94521i	−0.276968	+	0.290790i
$419$	23.3865	+	13.5022i	1.14250	+	0.659625i	0.947050	−	0.321087i	$-0.104048\pi$
$419$	23.3865	+	13.5022i	1.14250	+	0.659625i	0.195455	+	0.980713i	$0.437382\pi$
$420$	−13.2037	−	36.0546i	−0.644275	−	1.75929i
$421$	25.4978	−	25.4978i	1.24269	−	1.24269i	0.283806	−	0.958882i	$-0.408403\pi$
$421$	25.4978	−	25.4978i	1.24269	−	1.24269i	0.958882	−	0.283806i	$-0.0915973\pi$
$422$	−0.312943	+	0.0920720i	−0.0152338	+	0.00448200i
$423$	0.874649	−	3.26423i	0.0425269	−	0.158712i
$424$	5.49773	−	6.36554i	0.266993	−	0.309138i
$425$	−10.8113	+	22.8184i	−0.524426	+	1.10686i
$426$	−7.14646	+	0.173981i	−0.346247	+	0.00842941i
$427$	25.6008	−	6.85973i	1.23891	−	0.331965i
$428$	−31.3559	−	16.1222i	−1.51565	−	0.779298i
$429$	8.65430	−	3.85715i	0.417833	−	0.186225i
$430$	14.8922	+	13.0744i	0.718165	+	0.630505i
$431$	15.4507	−	4.14001i	0.744235	−	0.199417i	0.133276	−	0.991079i	$-0.457450\pi$
$431$	15.4507	−	4.14001i	0.744235	−	0.199417i	0.610960	+	0.791662i	$0.290784\pi$
$432$	−2.23052	+	0.217854i	−0.107316	+	0.0104815i
$433$	−2.27070	−	3.93297i	−0.109123	−	0.189007i	0.806292	−	0.591517i	$-0.201471\pi$
$433$	−2.27070	−	3.93297i	−0.109123	−	0.189007i	−0.915415	+	0.402511i	$0.868138\pi$
$434$	−9.36291	+	38.6857i	−0.449434	+	1.85697i
$435$	−12.1349	+	0.492535i	−0.581825	+	0.0236152i
$436$	8.60064	+	7.80154i	0.411896	+	0.373626i
$437$	−6.90891	+	6.90891i	−0.330498	+	0.330498i
$438$	−12.2211	−	6.66465i	−0.583946	−	0.318449i
$439$	−14.7273	+	25.5085i	−0.702898	+	1.21745i	0.264547	+	0.964373i	$0.414778\pi$
$439$	−14.7273	+	25.5085i	−0.702898	+	1.21745i	−0.967445	+	0.253082i	$0.918556\pi$
$440$	−4.11758	−	5.56295i	−0.196298	−	0.265203i
$441$			15.9989i			0.761850i
$442$	23.2578	−	11.0519i	1.10626	−	0.525687i
$443$	−7.38141			−0.350701			−0.175351	−	0.984506i	$-0.556106\pi$
$443$	−7.38141			−0.350701			−0.175351	+	0.984506i	$0.556106\pi$
$444$	10.8877	−	50.3115i	0.516706	−	2.38768i
$445$	8.62824	−	38.3622i	0.409018	−	1.81854i
$446$	−15.7711	−	8.60060i	−0.746782	−	0.407250i
$447$	1.52625	−	1.52625i	0.0721892	−	0.0721892i
$448$	28.4109	+	3.30355i	1.34229	+	0.156078i
$449$	1.83543	−	6.84992i	0.0866194	−	0.323268i	−0.908997	−	0.416804i	$-0.863150\pi$
$449$	1.83543	−	6.84992i	0.0866194	−	0.323268i	0.995616	+	0.0935358i	$0.0298169\pi$
$450$	−7.02464	−	18.2587i	−0.331145	−	0.860725i
$451$	−4.81260	+	2.77855i	−0.226616	+	0.130837i
$452$	14.4081	+	22.3662i	0.677698	+	1.05202i
$453$	8.02784	+	29.9603i	0.377181	+	1.40766i
$454$	8.90797	−	5.43630i	0.418072	−	0.255138i
$455$	28.7663	+	1.83683i	1.34859	+	0.0861121i
$456$	−2.62891	−	35.9383i	−0.123110	−	1.68296i
$457$	27.5391	−	7.37908i	1.28822	−	0.345179i	0.451238	−	0.892403i	$-0.350982\pi$
$457$	27.5391	−	7.37908i	1.28822	−	0.345179i	0.836986	+	0.547225i	$0.184316\pi$
$458$	25.2658	−	0.615098i	1.18059	−	0.0287416i
$459$	−1.41472	−	2.45037i	−0.0660334	−	0.114373i
$460$	−4.73749	−	6.73741i	−0.220887	−	0.314133i
$461$	−22.2274	−	5.95581i	−1.03523	−	0.277390i	−0.299096	−	0.954223i	$-0.596685\pi$
$461$	−22.2274	−	5.95581i	−1.03523	−	0.277390i	−0.736136	+	0.676833i	$0.763352\pi$
$462$	3.75030	+	12.7469i	0.174480	+	0.593038i
$463$	−13.0280	−	13.0280i	−0.605460	−	0.605460i	0.336296	−	0.941756i	$-0.390826\pi$
$463$	−13.0280	−	13.0280i	−0.605460	−	0.605460i	−0.941756	+	0.336296i	$0.890826\pi$
$464$	3.74048	−	8.23758i	0.173647	−	0.382420i
$465$	−9.27546	+	41.2399i	−0.430139	+	1.91245i
$466$	−5.71282	+	5.99792i	−0.264641	+	0.277848i
$467$			2.70338i			0.125097i	0.998042	+	0.0625486i	$0.0199229\pi$
$467$			2.70338i			0.125097i	−0.998042	+	0.0625486i	$0.980077\pi$
$468$	−6.22759	+	18.9540i	−0.287870	+	0.876148i
$469$	−14.0144			−0.647126
$470$	1.71026	−	3.46332i	0.0788884	−	0.159751i
$471$	−18.1646	−	10.4873i	−0.836981	−	0.483231i
$472$	0.757711	+	1.11562i	0.0348765	+	0.0513505i
$473$	−4.84917	−	4.84917i	−0.222965	−	0.222965i
$474$	−32.5841	+	9.58668i	−1.49664	+	0.440331i
$475$	−24.9818	+	8.91947i	−1.14624	+	0.409253i
$476$	11.0323	+	34.3839i	0.505666	+	1.57599i
$477$	−7.12514	+	4.11370i	−0.326238	+	0.188353i
$478$	42.5205	−	1.03516i	1.94484	−	0.0473473i
$479$	3.72394	+	13.8979i	0.170151	+	0.635012i	0.997327	+	0.0730691i	$0.0232794\pi$
$479$	3.72394	+	13.8979i	0.170151	+	0.635012i	−0.827176	+	0.561943i	$0.810054\pi$
$480$	30.2251	+	3.01835i	1.37958	+	0.137768i
$481$	31.2726	+	22.7024i	1.42591	+	1.03514i
$482$	−4.93624	−	8.08858i	−0.224840	−	0.368425i
$483$	4.09248	+	15.2734i	0.186214	+	0.694962i
$484$	−10.6171	−	16.4813i	−0.482593	−	0.749149i
$485$	−21.2671	−	19.6080i	−0.965689	−	0.890355i
$486$	29.5274	+	7.14637i	1.33939	+	0.324166i
$487$	11.4442	+	3.06646i	0.518585	+	0.138954i	0.508612	−	0.860996i	$-0.330159\pi$
$487$	11.4442	+	3.06646i	0.518585	+	0.138954i	0.00997304	+	0.999950i	$0.496825\pi$
$488$	−3.93473	+	20.5949i	−0.178117	+	0.932287i
$489$	25.8646	+	25.8646i	1.16964	+	1.16964i
$490$	−3.57726	+	17.9331i	−0.161604	+	0.810137i
$491$	9.15434	−	15.8558i	0.413129	−	0.715561i	−0.582101	−	0.813117i	$-0.697769\pi$
$491$	9.15434	−	15.8558i	0.413129	−	0.715561i	0.995230	+	0.0975555i	$0.0311024\pi$
$492$	5.15857	−	23.8376i	0.232566	−	1.07468i
$493$	11.4219			0.514417
$494$	25.4869	+	9.06708i	1.14671	+	0.407947i
$495$	2.01595	+	6.46284i	0.0906104	+	0.290483i
$496$	−24.3243	−	19.9956i	−1.09219	−	0.897828i
$497$	6.51754	+	3.76290i	0.292351	+	0.168789i
$498$	20.0012	+	10.9074i	0.896274	+	0.488774i
$499$	−20.6031	−	20.6031i	−0.922323	−	0.922323i	0.0748703	−	0.997193i	$-0.476146\pi$
$499$	−20.6031	−	20.6031i	−0.922323	−	0.922323i	−0.997193	+	0.0748703i	$0.976146\pi$
$500$	−3.79137	−	22.0369i	−0.169555	−	0.985521i
$501$	−4.09600	+	15.2865i	−0.182996	+	0.682949i
$502$	2.61739	+	0.633474i	0.116820	+	0.0282733i
$503$	−16.9804	−	29.4109i	−0.757117	−	1.31137i	−0.944315	−	0.329043i	$-0.893274\pi$
$503$	−16.9804	−	29.4109i	−0.757117	−	1.31137i	0.187198	−	0.982322i	$-0.440059\pi$
$504$	−25.1856	−	12.1840i	−1.12186	−	0.542718i
$505$	−30.0095	+	18.9890i	−1.33541	+	0.845000i
$506$	1.48475	+	2.43292i	0.0660050	+	0.108156i
$507$	−23.2157	−	20.8710i	−1.03105	−	0.926915i
$508$	−2.93021	+	5.69892i	−0.130007	+	0.252849i
$509$	8.85012	+	33.0291i	0.392275	+	1.46399i	0.826373	+	0.563123i	$0.190400\pi$
$509$	8.85012	+	33.0291i	0.392275	+	1.46399i	−0.434098	+	0.900866i	$0.642933\pi$
$510$	12.3072	+	36.3206i	0.544971	+	1.60831i
$511$	7.32739	+	12.6914i	0.324145	+	0.561435i
$512$	−12.1406	+	19.0947i	−0.536544	+	0.843873i
$513$	0.769328	−	2.87117i	0.0339667	−	0.126765i
$514$	−1.79708	−	6.10810i	−0.0792660	−	0.269417i
$515$	11.6588	+	6.11473i	0.513750	+	0.269447i
$516$	30.0621	−	1.46459i	1.32341	−	0.0644751i
$517$	−0.668328	+	1.15758i	−0.0293930	+	0.0509102i
$518$	−37.3759	+	39.2411i	−1.64220	+	1.72415i
$519$	32.7864			1.43916
$520$	−11.2185	+	19.8531i	−0.491965	+	0.870615i
$521$	−11.7501			−0.514781			−0.257390	−	0.966308i	$-0.582863\pi$
$521$	−11.7501			−0.514781			−0.257390	+	0.966308i	$0.582863\pi$
$522$	−6.10342	+	6.40801i	−0.267140	+	0.280471i
$523$	11.2311	−	19.4528i	0.491101	−	0.850612i	−0.508847	−	0.860857i	$-0.669928\pi$
$523$	11.2311	−	19.4528i	0.491101	−	0.850612i	0.999948	+	0.0102454i	$0.00326127\pi$
$524$	−8.69068	+	0.423401i	−0.379654	+	0.0184964i
$525$	−7.71363	+	42.2296i	−0.336651	+	1.84305i
$526$	−7.63713	−	25.9578i	−0.332995	−	1.13181i
$527$	10.2890	−	38.3991i	0.448197	−	1.67269i
$528$	−10.3697	−	1.72072i	−0.451284	−	0.0748845i
$529$	−9.80409	−	16.9812i	−0.426265	−	0.738312i
$530$	−8.90638	+	3.01791i	−0.386869	+	0.131090i
$531$	−0.341425	−	1.27421i	−0.0148166	−	0.0552962i
$532$	−17.3467	+	33.7374i	−0.752076	+	1.46270i
$533$	14.8169	+	10.7564i	0.641793	+	0.465910i
$534$	−31.1094	−	50.9762i	−1.34624	−	2.20596i
$535$	21.0780	+	33.3109i	0.911283	+	1.44016i
$536$	4.82818	−	9.98036i	0.208546	−	0.431086i
$537$	6.88247	+	11.9208i	0.297000	+	0.514420i
$538$	−21.6408	−	5.23762i	−0.933001	−	0.225810i
$539$	1.63782	−	6.11245i	0.0705461	−	0.263282i
$540$	2.27300	+	1.05444i	0.0978141	+	0.0453759i
$541$	20.0731	+	20.0731i	0.863011	+	0.863011i	0.991687	−	0.128676i	$-0.0410727\pi$
$541$	20.0731	+	20.0731i	0.863011	+	0.863011i	−0.128676	+	0.991687i	$0.541073\pi$
$542$	14.2670	+	7.78039i	0.612822	+	0.334197i
$543$	−10.7804	−	6.22405i	−0.462630	−	0.267099i
$544$	−28.2873	−	3.98913i	−1.21281	−	0.171033i
$545$	−3.86590	−	12.3935i	−0.165597	−	0.530879i
$546$	33.3307	−	28.3835i	1.42642	−	1.21470i
$547$	−36.2219			−1.54874			−0.774368	−	0.632736i	$-0.781932\pi$
$547$	−36.2219			−1.54874			−0.774368	+	0.632736i	$0.781932\pi$
$548$	0.341293	−	1.57710i	0.0145793	−	0.0673704i
$549$	10.2548	−	17.7619i	0.437666	−	0.758060i
$550$	0.814627	+	7.69497i	0.0347358	+	0.328114i
$551$	8.48475	+	8.48475i	0.361462	+	0.361462i
$552$	−12.2868	−	2.34744i	−0.522962	−	0.0999138i
$553$	34.5390	+	9.25469i	1.46875	+	0.393549i
$554$	−11.9615	−	2.89498i	−0.508194	−	0.122996i
$555$	−39.0116	+	42.3123i	−1.65595	+	1.79606i
$556$	−21.3925	−	33.2084i	−0.907242	−	1.40835i
$557$	8.50819	+	31.7530i	0.360504	+	1.34542i	0.873415	+	0.486977i	$0.161900\pi$
$557$	8.50819	+	31.7530i	0.360504	+	1.34542i	−0.512911	+	0.858442i	$0.671433\pi$
$558$	16.0450	+	26.2914i	0.679237	+	1.11300i
$559$	−8.08916	+	21.0974i	−0.342135	+	0.892323i
$560$	−25.5063	−	19.2884i	−1.07784	−	0.815085i
$561$	−3.43474	−	12.8186i	−0.145015	−	0.541202i
$562$	−12.1320	+	0.295354i	−0.511757	+	0.0124587i
$563$	−3.90218	+	2.25293i	−0.164457	+	0.0949495i	−0.579970	−	0.814638i	$-0.696936\pi$
$563$	−3.90218	+	2.25293i	−0.164457	+	0.0949495i	0.415512	+	0.909588i	$0.363602\pi$
$564$	−1.79227	−	5.58590i	−0.0754684	−	0.235209i
$565$	−1.20633	−	29.7211i	−0.0507505	−	1.25038i
$566$	15.4467	−	4.54463i	0.649274	−	0.191025i
$567$	−24.3849	−	24.3849i	−1.02407	−	1.02407i
$568$	−4.92513	+	3.34508i	−0.206654	+	0.140356i
$569$	16.9891	+	9.80865i	0.712219	+	0.411200i	0.811882	−	0.583821i	$-0.198443\pi$
$569$	16.9891	+	9.80865i	0.712219	+	0.411200i	−0.0996629	+	0.995021i	$0.531776\pi$
$570$	−17.8384	+	36.1231i	−0.747167	+	1.51303i
$571$	4.23199			0.177103			0.0885517	−	0.996072i	$-0.471776\pi$
$571$	4.23199			0.177103			0.0885517	+	0.996072i	$0.471776\pi$
$572$	4.31963	−	6.60394i	0.180613	−	0.276124i
$573$		−	40.6295i		−	1.69732i
$574$	−17.7087	+	18.5924i	−0.739145	+	0.776032i
$575$	0.746280	+	9.17816i	0.0311220	+	0.382756i
$576$	17.3536	−	13.7383i	0.723068	−	0.572431i
$577$	−12.3993	−	12.3993i	−0.516188	−	0.516188i	0.400228	−	0.916416i	$-0.368931\pi$
$577$	−12.3993	−	12.3993i	−0.516188	−	0.516188i	−0.916416	+	0.400228i	$0.868931\pi$
$578$	−3.39393	−	11.5356i	−0.141169	−	0.479818i
$579$	−5.50601	−	1.47533i	−0.228822	−	0.0613127i
$580$	−8.27413	+	5.81806i	−0.343565	+	0.241582i
$581$	−11.9921	−	20.7709i	−0.497516	−	0.861722i
$582$	−43.9204	+	1.06924i	−1.82056	+	0.0443216i
$583$	3.14332	−	0.842251i	0.130183	−	0.0348825i
$584$	−11.5626	+	0.845811i	−0.478462	+	0.0349999i
$585$	16.7456	−	14.7354i	0.692343	−	0.609233i
$586$	2.79721	−	1.70706i	0.115552	−	0.0705180i
$587$	−2.96809	−	11.0771i	−0.122506	−	0.457199i	0.877232	−	0.480066i	$-0.159387\pi$
$587$	−2.96809	−	11.0771i	−0.122506	−	0.457199i	−0.999739	+	0.0228668i	$0.992721\pi$
$588$	15.0404	+	23.3479i	0.620258	+	0.962850i
$589$	36.1679	−	20.8816i	1.49027	−	0.860410i
$590$	−0.0977958	−	1.50461i	−0.00402619	−	0.0619438i
$591$	6.95098	−	25.9414i	0.285925	−	1.06709i
$592$	−15.0690	−	40.1363i	−0.619331	−	1.64959i
$593$	−23.6890	+	23.6890i	−0.972793	+	0.972793i	−0.999640	−	0.0268469i	$-0.991453\pi$
$593$	−23.6890	+	23.6890i	−0.972793	+	0.972793i	0.0268469	+	0.999640i	$0.491453\pi$
$594$	−0.761252	−	0.415141i	−0.0312345	−	0.0170335i
$595$	8.85912	−	39.3888i	0.363189	−	1.61478i
$596$	0.380222	−	1.75699i	0.0155745	−	0.0719692i
$597$	−30.4954			−1.24809
$598$	5.33026	−	7.73148i	0.217970	−	0.316164i
$599$			9.29393i			0.379740i	0.981809	+	0.189870i	$0.0608066\pi$
$599$			9.29393i			0.379740i	−0.981809	+	0.189870i	$0.939193\pi$
$600$	−27.4163	−	20.0420i	−1.11927	−	0.818211i
$601$	−16.3077	+	28.2457i	−0.665204	+	1.15217i	0.314026	+	0.949414i	$0.398322\pi$
$601$	−16.3077	+	28.2457i	−0.665204	+	1.15217i	−0.979230	+	0.202753i	$0.935011\pi$
$602$	−27.8183	−	15.1704i	−1.13379	−	0.618300i
$603$	−7.66847	+	7.66847i	−0.312284	+	0.312284i
$604$	19.1337	+	17.3559i	0.778538	+	0.706203i
$605$	0.888921	+	21.9010i	0.0361398	+	0.890401i
$606$	−12.6875	+	52.4223i	−0.515395	+	2.12951i
$607$	10.1805	+	17.6332i	0.413214	+	0.715708i	0.995239	−	0.0974628i	$-0.0310727\pi$
$607$	10.1805	+	17.6332i	0.413214	+	0.715708i	−0.582025	+	0.813171i	$0.697739\pi$
$608$	−18.0499	−	23.9765i	−0.732018	−	0.972375i
$609$	18.7570	−	5.02593i	0.760073	−	0.203661i
$610$	15.4661	−	17.6164i	0.626206	−	0.713268i
$611$	4.38008	+	0.458652i	0.177199	+	0.0185551i
$612$	24.8511	+	12.7776i	1.00454	+	0.516505i
$613$	−34.2228	+	9.16996i	−1.38224	+	0.370371i	−0.871936	−	0.489620i	$-0.837135\pi$
$613$	−34.2228	+	9.16996i	−1.38224	+	0.370371i	−0.510308	+	0.859991i	$0.670469\pi$
$614$	−26.0128	+	0.633283i	−1.04979	+	0.0255572i
$615$	−18.4836	+	20.0476i	−0.745333	+	0.808396i
$616$	8.37500	+	7.23324i	0.337438	+	0.291436i
$617$	7.14698	−	26.6729i	0.287727	−	1.07381i	−0.659097	−	0.752058i	$-0.729061\pi$
$617$	7.14698	−	26.6729i	0.287727	−	1.07381i	0.946824	−	0.321752i	$-0.104272\pi$
$618$	19.1817	−	5.64353i	0.771603	−	0.227016i
$619$	−28.4331	+	28.4331i	−1.14282	+	1.14282i	−0.154890	+	0.987932i	$0.549502\pi$
$619$	−28.4331	+	28.4331i	−1.14282	+	1.14282i	−0.987932	+	0.154890i	$0.950498\pi$
$620$	12.1062	+	33.0577i	0.486196	+	1.32763i
$621$	−0.893625	−	0.515934i	−0.0358599	−	0.0207037i
$622$	27.7479	−	29.1326i	1.11259	−	1.16811i
$623$			62.8704i			2.51885i
$624$	8.73032	+	33.5149i	0.349493	+	1.34167i
$625$	−8.83808	+	23.3856i	−0.353523	+	0.935426i
$626$	0.525468	+	0.500491i	0.0210019	+	0.0200036i
$627$	6.97080	−	12.0738i	0.278387	−	0.482180i
$628$	−17.4481	+	0.850052i	−0.696254	+	0.0339208i
$629$	38.2728	−	38.2728i	1.52604	−	1.52604i
$630$	17.3642	+	26.0180i	0.691808	+	1.03658i
$631$	−41.9494	−	11.2403i	−1.66998	−	0.447469i	−0.704873	−	0.709333i	$-0.748996\pi$
$631$	−41.9494	−	11.2403i	−1.66998	−	0.447469i	−0.965105	+	0.261864i	$0.915663\pi$
$632$	−18.4899	+	21.4085i	−0.735489	+	0.851585i
$633$	0.479701	−	0.276956i	0.0190664	−	0.0110080i
$634$	42.6494	−	1.03830i	1.69383	−	0.0412363i
$635$	6.05424	−	3.83092i	0.240255	−	0.152026i
$636$	−6.53078	+	12.7016i	−0.258962	+	0.503652i
$637$	−20.5918	+	3.26959i	−0.815877	+	0.129546i
$638$	2.98784	−	1.82340i	0.118290	−	0.0721891i
$639$	5.62529	−	1.50729i	0.222533	−	0.0596276i
$640$	22.5235	−	11.5191i	0.890321	−	0.455334i
$641$	−5.88565	+	3.39808i	−0.232469	+	0.134216i	−0.611711	−	0.791082i	$-0.709518\pi$
$641$	−5.88565	+	3.39808i	−0.232469	+	0.134216i	0.379241	+	0.925298i	$0.376185\pi$
$642$	58.1894	+	14.0833i	2.29655	+	0.555824i
$643$	18.7933	+	5.03566i	0.741137	+	0.198587i	0.609583	−	0.792722i	$-0.291337\pi$
$643$	18.7933	+	5.03566i	0.741137	+	0.198587i	0.131553	+	0.991309i	$0.458003\pi$
$644$	9.75409	+	8.84783i	0.384365	+	0.348653i
$645$	−29.8003	−	15.6294i	−1.17339	−	0.615409i
$646$	18.1404	−	33.2643i	0.713724	−	1.30877i
$647$	31.9553	+	18.4494i	1.25629	+	0.725321i	0.972352	−	0.233521i	$-0.0750247\pi$
$647$	31.9553	+	18.4494i	1.25629	+	0.725321i	0.283941	+	0.958842i	$0.408358\pi$
$648$	25.7667	−	8.96472i	1.01221	−	0.352168i
$649$			0.521772i			0.0204813i
$650$	22.0649	−	12.7727i	0.865455	−	0.500986i
$651$		−	67.5864i		−	2.64892i
$652$	29.7749	+	6.44344i	1.16607	+	0.252345i
$653$	0.606584	+	0.350212i	0.0237375	+	0.0137048i	0.511822	−	0.859092i	$-0.328971\pi$
$653$	0.606584	+	0.350212i	0.0237375	+	0.0137048i	−0.488084	+	0.872796i	$0.662304\pi$
$654$	−17.3106	−	9.44019i	−0.676900	−	0.369141i
$655$	8.61502	+	4.51833i	0.336617	+	0.176546i
$656$	−7.13967	−	19.0166i	−0.278757	−	0.742472i
$657$	10.9540	+	2.93511i	0.427355	+	0.114509i
$658$	−1.45279	+	6.00265i	−0.0566358	+	0.234008i
$659$	−13.6850	+	7.90106i	−0.533094	+	0.307782i	−0.742275	−	0.670095i	$-0.766253\pi$
$659$	−13.6850	+	7.90106i	−0.533094	+	0.307782i	0.209182	+	0.977877i	$0.432920\pi$
$660$	9.01766	+	7.53634i	0.351012	+	0.293352i
$661$	−16.3357	+	4.37714i	−0.635385	+	0.170251i	−0.562112	−	0.827061i	$-0.690011\pi$
$661$	−16.3357	+	4.37714i	−0.635385	+	0.170251i	−0.0732728	+	0.997312i	$0.523344\pi$
$662$	−12.1294	−	19.8754i	−0.471423	−	0.772479i
$663$	−33.9699	+	27.5300i	−1.31928	+	1.06918i
$664$	18.9234	−	1.38426i	0.734372	−	0.0537199i
$665$	35.8409	−	22.6789i	1.38985	−	0.879450i
$666$	1.02063	+	41.9236i	0.0395487	+	1.62451i
$667$	3.60739	−	2.08273i	0.139679	−	0.0806436i
$668$	4.02683	+	12.5503i	0.155803	+	0.485584i
$669$	29.4638	+	7.89481i	1.13914	+	0.305231i
$670$	−10.3102	+	6.88097i	−0.398319	+	0.265835i
$671$	−5.73623	+	5.73623i	−0.221445	+	0.221445i
$672$	−48.2086	+	5.89619i	−1.85969	+	0.227450i
$673$	5.05441	−	8.75449i	0.194833	−	0.337461i	−0.752013	−	0.659149i	$-0.770917\pi$
$673$	5.05441	−	8.75449i	0.194833	−	0.337461i	0.946846	+	0.321688i	$0.104250\pi$
$674$	20.4198	−	21.4388i	0.786540	−	0.825792i
$675$	−1.59272	−	2.30460i	−0.0613038	−	0.0887041i
$676$	−25.6680	−	4.14190i	−0.987230	−	0.159304i
$677$			21.5631i			0.828737i	0.910109	+	0.414368i	$0.135997\pi$
$677$			21.5631i			0.828737i	−0.910109	+	0.414368i	$0.864003\pi$
$678$	−32.7128	−	31.1579i	−1.25633	−	1.19661i
$679$	40.0551	+	23.1258i	1.53718	+	0.887489i
$680$	24.9986	+	19.8790i	0.958652	+	0.762326i
$681$	−12.5302	+	12.5302i	−0.480158	+	0.480158i
$682$	−3.43857	−	11.6873i	−0.131670	−	0.447531i
$683$	−5.96093	+	22.2465i	−0.228089	+	0.851238i	0.753055	+	0.657958i	$0.228579\pi$
$683$	−5.96093	+	22.2465i	−0.228089	+	0.851238i	−0.981144	+	0.193281i	$0.938087\pi$
$684$	8.96872	+	27.9524i	0.342928	+	1.06879i
$685$	−1.22289	+	1.32635i	−0.0467240	+	0.0506774i
$686$	0.149800	+	6.15320i	0.00571939	+	0.234930i
$687$	−41.4528	+	11.1072i	−1.58152	+	0.423768i
$688$	20.3874	−	14.5843i	0.777263	−	0.556022i
$689$	−6.75078	−	8.32993i	−0.257184	−	0.317345i
$690$	10.5099	+	9.22703i	0.400104	+	0.351267i
$691$	−17.0054	+	4.55658i	−0.646916	+	0.173341i	−0.567334	−	0.823488i	$-0.692025\pi$
$691$	−17.0054	+	4.55658i	−0.646916	+	0.173341i	−0.0795817	+	0.996828i	$0.525358\pi$
$692$	22.9554	−	14.7876i	0.872634	−	0.562141i
$693$	−5.41231	−	9.37439i	−0.205597	−	0.356104i
$694$	10.2148	+	2.47223i	0.387747	+	0.0938445i
$695$	1.79110	+	44.1286i	0.0679403	+	1.67389i
$696$	−2.88287	+	15.0893i	−0.109275	+	0.571959i
$697$	18.1336	−	18.1336i	0.686860	−	0.686860i
$698$	−2.99303	+	5.48836i	−0.113288	+	0.207738i
$699$	7.03261	−	12.1808i	0.265998	−	0.460721i
$700$	13.6461	+	33.0462i	0.515774	+	1.24903i
$701$		−	24.6267i		−	0.930137i	−0.885275	−	0.465068i	$-0.846030\pi$
$701$		−	24.6267i		−	0.930137i	0.885275	−	0.465068i	$-0.153970\pi$
$702$	−0.228287	+	2.84776i	−0.00861615	+	0.107482i
$703$	56.8618			2.14458
$704$	−8.03646	+	3.47229i	−0.302885	+	0.130867i
$705$	−1.43922	+	6.39897i	−0.0542043	+	0.240999i
$706$	−8.48016	+	15.5502i	−0.319155	+	0.585240i
$707$	40.1509	−	40.1509i	1.51003	−	1.51003i
$708$	−1.69614	−	1.53855i	−0.0637448	−	0.0578222i
$709$	−6.17476	+	23.0445i	−0.231898	+	0.865456i	0.747625	+	0.664122i	$0.231194\pi$
$709$	−6.17476	+	23.0445i	−0.231898	+	0.865456i	−0.979523	+	0.201334i	$0.935472\pi$
$710$	6.64242	−	0.431741i	0.249286	−	0.0162029i
$711$	23.9632	−	13.8352i	0.898690	−	0.518859i
$712$	−44.7731	−	21.6598i	−1.67794	−	0.811735i
$713$	−3.75230	−	14.0038i	−0.140525	−	0.524446i
$714$	−31.9419	−	52.3403i	−1.19539	−	1.95879i
$715$	−7.90621	+	3.91546i	−0.295675	+	0.146430i
$716$	10.1954	+	5.24215i	0.381020	+	0.195908i
$717$	−69.7620	+	18.6927i	−2.60531	+	0.698091i
$718$	0.156303	+	6.42031i	0.00583317	+	0.239604i
$719$	−8.86204	−	15.3495i	−0.330498	−	0.572440i	0.652111	−	0.758123i	$-0.273883\pi$
$719$	−8.86204	−	15.3495i	−0.330498	−	0.572440i	−0.982610	+	0.185683i	$0.940550\pi$
$720$	−24.5110	+	3.40232i	−0.913470	+	0.126797i
$721$	−20.3326	−	5.44809i	−0.757224	−	0.202898i
$722$	12.4084	−	3.65071i	0.461792	−	0.135866i
$723$	11.3776	+	11.3776i	0.423138	+	0.423138i
$724$	−10.3551	+	0.504491i	−0.384845	+	0.0187493i
$725$	11.2716	−	0.916497i	0.418617	−	0.0340379i
$726$	24.1055	+	22.9597i	0.894640	+	0.852115i
$727$		−	21.4745i		−	0.796444i	−0.917289	−	0.398222i	$-0.869627\pi$
$727$		−	21.4745i		−	0.796444i	0.917289	−	0.398222i	$-0.130373\pi$
$728$	10.5347	−	34.9058i	0.390444	−	1.29370i
$729$	−22.6497			−0.838878
$730$	11.6220	+	5.73921i	0.430151	+	0.212418i
$731$	27.4071	+	15.8235i	1.01369	+	0.585254i
$732$	−1.73251	−	35.5613i	−0.0640355	−	1.31438i
$733$	−2.03429	−	2.03429i	−0.0751384	−	0.0751384i	0.668539	−	0.743677i	$-0.266920\pi$
$733$	−2.03429	−	2.03429i	−0.0751384	−	0.0751384i	−0.743677	+	0.668539i	$0.766920\pi$
$734$	−6.97304	−	23.7006i	−0.257380	−	0.874806i
$735$	−1.25927	−	31.0256i	−0.0464490	−	1.14440i
$736$	−9.66140	+	3.89816i	−0.356124	+	0.143688i
$737$	3.71481	−	2.14475i	0.136837	−	0.0790028i
$738$	0.483575	+	19.8634i	0.0178006	+	0.731181i
$739$	−13.0958	−	48.8744i	−0.481739	−	1.79787i	−0.594318	−	0.804230i	$-0.702578\pi$
$739$	−13.0958	−	48.8744i	−0.481739	−	1.79787i	0.112580	−	0.993643i	$-0.464089\pi$
$740$	−8.22986	+	47.2204i	−0.302536	+	1.73586i
$741$	−45.6851	−	4.78383i	−1.67828	−	0.175738i
$742$	12.8346	−	7.83264i	0.471174	−	0.287545i
$743$	−4.48509	−	16.7386i	−0.164542	−	0.614079i	−0.998098	−	0.0616441i	$-0.980366\pi$
$743$	−4.48509	−	16.7386i	−0.164542	−	0.614079i	0.833556	−	0.552434i	$-0.186301\pi$
$744$	48.1316	+	23.2845i	1.76459	+	0.853652i
$745$	−1.36237	+	1.47764i	−0.0499134	+	0.0541366i
$746$	−1.27288	+	5.25929i	−0.0466035	+	0.192556i
$747$	−17.9274	−	4.80363i	−0.655929	−	0.175756i
$748$	−8.18641	−	7.42580i	−0.299325	−	0.271514i
$749$	−44.5680	−	44.5680i	−1.62848	−	1.62848i
$750$	15.0596	+	34.8551i	0.549899	+	1.27273i
$751$	−2.07352	+	3.59144i	−0.0756637	+	0.131053i	−0.901375	−	0.433040i	$-0.857441\pi$
$751$	−2.07352	+	3.59144i	−0.0756637	+	0.131053i	0.825711	+	0.564093i	$0.190774\pi$
$752$	−3.77427	−	3.10261i	−0.137633	−	0.113140i
$753$	−4.57275			−0.166640
$754$	−9.49494	−	6.54603i	−0.345785	−	0.238392i
$755$	−8.60039	−	27.5716i	−0.313000	−	1.00343i
$756$	−3.91571	−	0.847380i	−0.142413	−	0.0308189i
$757$	−28.5045	−	16.4571i	−1.03601	−	0.598143i	−0.117313	−	0.993095i	$-0.537428\pi$
$757$	−28.5045	−	16.4571i	−1.03601	−	0.598143i	−0.918702	+	0.394952i	$0.870761\pi$
$758$	−16.7892	+	30.7866i	−0.609809	+	1.11822i
$759$	−3.42221	−	3.42221i	−0.124218	−	0.124218i
$760$	3.80304	+	33.3373i	0.137951	+	1.20927i
$761$	10.5903	−	39.5237i	0.383900	−	1.43273i	−0.455995	−	0.889983i	$-0.650716\pi$
$761$	10.5903	−	39.5237i	0.383900	−	1.43273i	0.839894	−	0.542750i	$-0.182617\pi$
$762$	2.55963	−	10.5759i	0.0927257	−	0.383124i
$763$	10.3789	+	17.9768i	0.375742	+	0.650805i
$764$	−18.3251	−	28.4468i	−0.662978	−	1.02917i
$765$	−16.7053	−	26.4005i	−0.603983	−	0.954512i
$766$	39.4069	−	24.0489i	1.42383	−	0.868924i
$767$	1.57024	−	0.699844i	0.0566981	−	0.0252699i
$768$	12.4096	−	36.3631i	0.447794	−	1.31214i
$769$	−2.90390	−	10.8375i	−0.104717	−	0.390810i	0.893596	−	0.448873i	$-0.148174\pi$
$769$	−2.90390	−	10.8375i	−0.104717	−	0.390810i	−0.998313	+	0.0580625i	$0.981508\pi$
$770$	−3.97060	−	11.7179i	−0.143090	−	0.422285i
$771$	5.40569	+	9.36293i	0.194681	+	0.337198i
$772$	−4.52046	+	1.45042i	−0.162695	+	0.0522018i
$773$	−3.31786	+	12.3824i	−0.119335	+	0.445365i	−0.999575	−	0.0291646i	$-0.990715\pi$
$773$	−3.31786	+	12.3824i	−0.119335	+	0.445365i	0.880239	+	0.474530i	$0.157382\pi$
$774$	−23.5227	+	6.92070i	−0.845507	+	0.248760i
$775$	7.07245	−	38.7194i	0.254050	−	1.39084i
$776$	−30.2686	+	20.5580i	−1.08658	+	0.737990i
$777$	46.0105	−	79.6925i	1.65062	−	2.85895i
$778$	−19.6712	−	18.7362i	−0.705246	−	0.671724i
$779$	26.9411			0.965264
$780$	10.5849	−	37.2464i	0.379001	−	1.33364i
$781$	−2.30348			−0.0824248
$782$	−9.52416	−	9.07145i	−0.340583	−	0.324394i
$783$	−0.633613	+	1.09745i	−0.0226435	+	0.0392197i
$784$	21.0612	+	9.56336i	0.752185	+	0.341549i
$785$	17.2962	+	9.07136i	0.617327	+	0.323771i
$786$	14.1739	−	4.17015i	0.505566	−	0.148744i
$787$	5.61610	−	20.9596i	0.200192	−	0.747129i	−0.790669	−	0.612244i	$-0.790267\pi$
$787$	5.61610	−	20.9596i	0.200192	−	0.747129i	0.990861	−	0.134885i	$-0.0430663\pi$
$788$	−6.83361	−	21.2980i	−0.243437	−	0.758710i
$789$	22.9727	+	39.7899i	0.817851	+	1.41656i
$790$	29.9538	−	10.1498i	1.06571	−	0.361114i
$791$	12.3096	+	45.9401i	0.437680	+	1.63344i
$792$	8.54058	−	0.624751i	0.303476	−	0.0221995i
$793$	24.9567	+	9.56891i	0.886239	+	0.339802i
$794$	−6.41024	+	3.91200i	−0.227491	+	0.138832i
$795$	13.4936	−	8.53827i	0.478567	−	0.302821i
$796$	−21.3514	+	13.7543i	−0.756780	+	0.487509i
$797$	4.55219	+	7.88463i	0.161247	+	0.279288i	0.935316	−	0.353813i	$-0.115115\pi$
$797$	4.55219	+	7.88463i	0.161247	+	0.279288i	−0.774069	+	0.633101i	$0.781782\pi$
$798$	15.1529	−	62.6089i	0.536408	−	2.21633i
$799$	1.59649	−	5.95819i	0.0564798	−	0.210786i
$800$	−28.2351	−	1.66685i	−0.998262	−	0.0589321i
$801$	34.4017	+	34.4017i	1.21552	+	1.21552i
$802$	−8.44298	+	15.4820i	−0.298132	+	0.546690i
$803$	−3.88455	−	2.24275i	−0.137083	−	0.0791448i
$804$	−3.98187	+	18.4001i	−0.140430	+	0.648920i
$805$	−4.38437	−	14.0556i	−0.154529	−	0.495395i
$806$	−30.5602	+	26.0241i	−1.07644	+	0.916661i
$807$	37.8079			1.33090
$808$	14.7608	+	42.4260i	0.519284	+	1.49254i
$809$	3.24267	−	5.61647i	0.114006	−	0.197464i	−0.803376	−	0.595472i	$-0.796965\pi$
$809$	3.24267	−	5.61647i	0.114006	−	0.197464i	0.917382	+	0.398008i	$0.130298\pi$
$810$	−29.9125	−	5.96687i	−1.05102	−	0.209654i
$811$	13.1102	+	13.1102i	0.460362	+	0.460362i	0.898774	−	0.438412i	$-0.144459\pi$
$811$	13.1102	+	13.1102i	0.460362	+	0.460362i	−0.438412	+	0.898774i	$0.644459\pi$
$812$	10.8659	−	11.9789i	0.381319	−	0.420377i
$813$	−26.6540	−	7.14191i	−0.934796	−	0.250478i
$814$	3.90184	−	16.1216i	0.136759	−	0.565062i
$815$	−25.0409	−	23.0875i	−0.877145	−	0.808718i
$816$	48.2785	−	4.71535i	1.69009	−	0.165070i
$817$	8.60487	+	32.1138i	0.301046	+	1.12352i
$818$	−30.8131	+	18.8044i	−1.07735	+	0.657480i
$819$	−20.9522	+	28.8617i	−0.732129	+	1.00851i
$820$	−3.89930	+	22.3730i	−0.136170	+	0.781299i
$821$	−1.74121	−	6.49828i	−0.0607686	−	0.226792i	0.928862	−	0.370425i	$-0.120788\pi$
$821$	−1.74121	−	6.49828i	−0.0607686	−	0.226792i	−0.989631	+	0.143634i	$0.954121\pi$
$822$	0.0666850	+	2.73916i	0.00232591	+	0.0955392i
$823$	0.117586	−	0.0678882i	0.00409878	−	0.00236643i	−0.497949	−	0.867206i	$-0.665913\pi$
$823$	0.117586	−	0.0678882i	0.00409878	−	0.00236643i	0.502048	+	0.864840i	$0.332580\pi$
$824$	10.8847	−	12.6029i	0.379187	−	0.439042i
$825$	−4.41810	−	12.3743i	−0.153819	−	0.430818i
$826$	0.680457	+	2.31280i	0.0236761	+	0.0804726i
$827$	34.5059	+	34.5059i	1.19989	+	1.19989i	0.974200	+	0.225686i	$0.0724623\pi$
$827$	34.5059	+	34.5059i	1.19989	+	1.19989i	0.225686	+	0.974200i	$0.427538\pi$
$828$	10.1787	−	0.495895i	0.353734	−	0.0172335i
$829$	−16.4260	−	9.48356i	−0.570499	−	0.329378i	0.186850	−	0.982389i	$-0.440172\pi$
$829$	−16.4260	−	9.48356i	−0.570499	−	0.329378i	−0.757349	+	0.653011i	$0.773506\pi$
$830$	−19.0208	−	9.39286i	−0.660221	−	0.326031i
$831$	20.8974			0.724924
$832$	21.2288	+	19.5279i	0.735976	+	0.677008i
$833$			29.2026i			1.01181i
$834$	48.5706	+	46.2619i	1.68186	+	1.60192i
$835$	3.23361	−	14.3770i	0.111904	−	0.497538i
$836$	−0.565019	−	11.5975i	−0.0195416	−	0.401108i
$837$	3.11873	+	3.11873i	0.107799	+	0.107799i
$838$	−36.6372	+	10.7792i	−1.26561	+	0.372360i
$839$	33.6291	+	9.01088i	1.16100	+	0.311090i	0.787367	−	0.616485i	$-0.211444\pi$
$839$	33.6291	+	9.01088i	1.16100	+	0.311090i	0.373637	+	0.927575i	$0.378110\pi$
$840$	49.7999	+	21.6453i	1.71826	+	0.746834i
$841$	11.9422	+	20.6845i	0.411801	+	0.713260i
$842$	1.24112	+	50.9805i	0.0427720	+	1.75691i
$843$	19.9045	−	5.33341i	0.685549	−	0.183692i
$844$	0.210948	−	0.410270i	0.00726114	−	0.0141221i
$845$	22.3878	+	18.5415i	0.770164	+	0.637846i
$846$	2.48961	+	4.07950i	0.0855945	+	0.140256i
$847$	−9.07075	−	33.8525i	−0.311675	−	1.16319i
$848$	1.15628	+	11.8386i	0.0397067	+	0.406540i
$849$	−23.6778	+	13.6704i	−0.812621	+	0.469167i
$850$	−12.8220	−	33.3276i	−0.439792	−	1.14313i
$851$	5.10888	−	19.0666i	0.175130	−	0.653594i
$852$	6.79225	−	7.48797i	0.232699	−	0.256534i
$853$	−6.85392	+	6.85392i	−0.234674	+	0.234674i	−0.814640	−	0.579967i	$-0.803066\pi$
$853$	−6.85392	+	6.85392i	−0.234674	+	0.234674i	0.579967	+	0.814640i	$0.303066\pi$
$854$	−17.9455	+	32.9071i	−0.614084	+	1.12606i
$855$	7.20202	−	32.0211i	0.246304	−	1.09510i
$856$	47.0934	−	16.3847i	1.60962	−	0.560018i
$857$	45.0673			1.53947			0.769735	−	0.638363i	$-0.220388\pi$
$857$	45.0673			1.53947			0.769735	+	0.638363i	$0.220388\pi$
$858$	−4.49122	+	12.6245i	−0.153328	+	0.430993i
$859$			2.85664i			0.0974674i	0.998812	+	0.0487337i	$0.0155186\pi$
$859$			2.85664i			0.0974674i	−0.998812	+	0.0487337i	$0.984481\pi$
$860$	−27.9141	+	2.49787i	−0.951863	+	0.0851766i
$861$	21.7997	−	37.7582i	0.742933	−	1.28680i
$862$	−10.8306	+	19.8602i	−0.368891	+	0.676442i
$863$	−7.73269	+	7.73269i	−0.263224	+	0.263224i	−0.826362	−	0.563139i	$-0.809594\pi$
$863$	−7.73269	+	7.73269i	−0.263224	+	0.263224i	0.563139	+	0.826362i	$0.309594\pi$
$864$	1.95248	−	2.49663i	0.0664248	−	0.0849372i
$865$	−30.5041	+	1.23810i	−1.03717	+	0.0420968i
$866$	6.24229	+	1.51079i	0.212122	+	0.0513388i
$867$	10.2091	+	17.6826i	0.346718	+	0.600533i
$868$	−30.4835	−	47.3207i	−1.03468	−	1.60617i
$869$	−10.5716	+	2.83265i	−0.358617	+	0.0960910i
$870$	11.3316	−	12.9071i	0.384178	−	0.437591i
$871$	−11.4371	−	8.30278i	−0.387531	−	0.281329i
$872$	−16.3779	+	1.19806i	−0.554625	+	0.0405713i
$873$	34.5716	−	9.26344i	1.17007	−	0.313520i
$874$	−0.336296	−	13.8137i	−0.0113754	−	0.467256i
$875$	5.58197	−	39.5813i	0.188705	−	1.33809i
$876$	18.7449	−	6.01443i	0.633332	−	0.203209i
$877$	3.94143	−	14.7096i	0.133093	−	0.496708i	−0.866906	−	0.498472i	$-0.833895\pi$
$877$	3.94143	−	14.7096i	0.133093	−	0.496708i	0.999998	+	0.00176364i	$0.000561385\pi$
$878$	−11.7572	−	39.9615i	−0.396787	−	1.34864i
$879$	−3.93462	+	3.93462i	−0.132712	+	0.132712i
$880$	9.71284	+	1.20935i	0.327420	+	0.0407670i
$881$	−37.4080	−	21.5975i	−1.26031	−	0.727638i	−0.287172	−	0.957879i	$-0.592715\pi$
$881$	−37.4080	−	21.5975i	−1.26031	−	0.727638i	−0.973134	+	0.230241i	$0.926049\pi$
$882$	−16.3835	−	15.6047i	−0.551661	−	0.525439i
$883$		−	35.9351i		−	1.20931i	−0.796486	−	0.604656i	$-0.793310\pi$
$883$		−	35.9351i		−	1.20931i	0.796486	−	0.604656i	$-0.206690\pi$
$884$	−11.3672	+	34.5966i	−0.382320	+	1.16361i
$885$	0.762397	+	2.44413i	0.0256277	+	0.0821585i
$886$	7.19957	−	7.55887i	0.241874	−	0.253945i
$887$	−8.39061	+	14.5330i	−0.281729	+	0.487969i	−0.971811	−	0.235762i	$-0.924241\pi$
$887$	−8.39061	+	14.5330i	−0.281729	+	0.487969i	0.690081	+	0.723732i	$0.257575\pi$
$888$	40.9016	+	60.2216i	1.37257	+	2.02090i
$889$	−8.10020	+	8.10020i	−0.271672	+	0.271672i
$890$	30.8688	+	46.2529i	1.03473	+	1.55040i
$891$	10.1956	+	2.73189i	0.341564	+	0.0915218i
$892$	24.1899	−	7.76151i	0.809939	−	0.259874i
$893$	5.61198	−	3.24008i	0.187798	−	0.108425i
$894$	0.0742913	+	3.05160i	0.00248467	+	0.102061i
$895$	−6.85353	−	10.8311i	−0.229088	−	0.362042i
$896$	−31.0940	+	25.8718i	−1.03878	+	0.864315i
$897$	−5.70877	+	14.8891i	−0.190610	+	0.497132i
$898$	5.22439	+	8.56074i	0.174340	+	0.285676i
$899$	−17.1979	+	4.60816i	−0.573582	+	0.153691i
$900$	25.5493	+	10.6154i	0.851643	+	0.353848i
$901$	−13.0055	+	7.50872i	−0.433275	+	0.250152i
$902$	1.84869	−	7.63841i	0.0615546	−	0.254331i
$903$	51.9707	+	13.9255i	1.72948	+	0.463411i
$904$	−36.9571	−	7.06078i	−1.22917	−	0.234838i
$905$	10.2650	+	5.38369i	0.341219	+	0.178960i
$906$	−38.5107	−	21.0014i	−1.27943	−	0.697725i
$907$	−27.0142	−	15.5967i	−0.896992	−	0.517879i	−0.0207688	−	0.999784i	$-0.506611\pi$
$907$	−27.0142	−	15.5967i	−0.896992	−	0.517879i	−0.876223	+	0.481906i	$0.839945\pi$
$908$	−3.12154	+	14.4245i	−0.103592	+	0.478694i
$909$		−	43.9398i		−	1.45739i
$910$	−29.9387	+	27.6663i	−0.992457	+	0.917129i
$911$		−	36.5465i		−	1.21084i	−0.795907	−	0.605419i	$-0.793005\pi$
$911$		−	36.5465i		−	1.21084i	0.795907	−	0.605419i	$-0.206995\pi$
$912$	39.3664	+	32.3608i	1.30355	+	1.07157i
$913$	6.35750	+	3.67050i	0.210402	+	0.121476i
$914$	−19.3042	+	35.3985i	−0.638526	+	1.17088i
$915$	−18.4885	+	35.2517i	−0.611212	+	1.16539i
$916$	−24.0135	+	26.4732i	−0.793429	+	0.874699i
$917$	−15.0243	−	4.02574i	−0.496145	−	0.132942i
$918$	3.88915	+	0.941272i	0.128361	+	0.0310666i
$919$	33.2123	−	19.1751i	1.09557	−	0.632529i	0.160517	−	0.987033i	$-0.448684\pi$
$919$	33.2123	−	19.1751i	1.09557	−	0.632529i	0.935054	+	0.354504i	$0.115350\pi$
$920$	11.5202	+	1.72005i	0.379809	+	0.0567083i
$921$	42.6784	−	11.4356i	1.40630	−	0.376817i
$922$	27.7788	−	16.9527i	0.914847	−	0.558306i
$923$	3.08961	+	6.93216i	0.101696	+	0.228175i
$924$	−16.7112	−	8.59240i	−0.549760	−	0.282669i
$925$	34.6981	−	40.8401i	1.14087	−	1.34281i
$926$	26.0482	−	0.634145i	0.855997	−	0.0208393i
$927$	−14.1068	+	8.14455i	−0.463327	+	0.267502i
$928$	4.78728	+	11.8651i	0.157150	+	0.389490i
$929$	−10.4807	−	2.80830i	−0.343861	−	0.0921374i	0.0827553	−	0.996570i	$-0.473628\pi$
$929$	−10.4807	−	2.80830i	−0.343861	−	0.0921374i	−0.426617	+	0.904433i	$0.640295\pi$
$930$	−33.1844	−	49.7224i	−1.08816	−	1.63046i
$931$	−21.6931	+	21.6931i	−0.710964	+	0.710964i
$932$	−0.570029	−	11.7003i	−0.0186719	−	0.383257i
$933$	−34.1582	+	59.1638i	−1.11829	+	1.93693i
$934$	−2.76837	−	2.63678i	−0.0905838	−	0.0862781i
$935$	3.67971	+	11.7966i	0.120339	+	0.385790i
$936$	−13.3355	−	24.8644i	−0.435884	−	0.812717i
$937$			23.1592i			0.756578i	0.925688	+	0.378289i	$0.123487\pi$
$937$			23.1592i			0.756578i	−0.925688	+	0.378289i	$0.876513\pi$
$938$	13.6692	−	14.3514i	0.446315	−	0.468589i
$939$	−1.06714	−	0.616115i	−0.0348249	−	0.0201062i
$940$	1.87845	+	5.12938i	0.0612683	+	0.167302i
$941$	17.4102	−	17.4102i	0.567556	−	0.567556i	−0.363887	−	0.931443i	$-0.618551\pi$
$941$	17.4102	−	17.4102i	0.567556	−	0.567556i	0.931443	+	0.363887i	$0.118551\pi$
$942$	28.4566	−	8.37232i	0.927166	−	0.272785i
$943$	2.42058	−	9.03374i	0.0788250	−	0.294179i
$944$	−1.88148	−	0.312207i	−0.0612371	−	0.0101615i
$945$	3.29314	+	3.03624i	0.107126	+	0.0987690i
$946$	9.69546	−	0.236037i	0.315227	−	0.00767421i
$947$	−40.3702	+	10.8172i	−1.31186	+	0.351511i	−0.845921	−	0.533309i	$-0.820948\pi$
$947$	−40.3702	+	10.8172i	−1.31186	+	0.351511i	−0.465935	+	0.884819i	$0.654282\pi$
$948$	21.9642	−	42.7180i	0.713366	−	1.38742i
$949$	−1.53912	+	14.6985i	−0.0499620	+	0.477132i
$950$	15.2325	−	34.2822i	0.494208	−	1.11226i
$951$	−69.9735	+	18.7493i	−2.26905	+	0.607989i
$952$	−45.9711	−	22.2394i	−1.48993	−	0.720782i
$953$	−16.1728	−	28.0122i	−0.523890	−	0.907404i	−0.999613	−	0.0278087i	$-0.991147\pi$
$953$	−16.1728	−	28.0122i	−0.523890	−	0.907404i	0.475724	−	0.879595i	$-0.342186\pi$
$954$	2.73702	−	11.3088i	0.0886142	−	0.366136i
$955$	1.53428	+	37.8012i	0.0496482	+	1.22322i
$956$	−40.4130	+	44.5524i	−1.30705	+	1.44093i
$957$	−4.20278	+	4.20278i	−0.135856	+	0.135856i
$958$	−17.8643	−	9.74209i	−0.577168	−	0.314753i
$959$	1.44228	−	2.49810i	0.0465736	−	0.0806678i
$960$	−32.5715	+	28.0078i	−1.05124	+	0.903948i
$961$			30.9684i			0.998982i
$962$	−53.7504	+	9.88129i	−1.73298	+	0.318586i
$963$	−48.7738			−1.57171
$964$	13.0977	+	2.83441i	0.421848	+	0.0912901i
$965$	5.17845	+	1.16471i	0.166700	+	0.0374933i
$966$	−19.6322	−	10.7062i	−0.631656	−	0.344468i
$967$	−23.5060	+	23.5060i	−0.755902	+	0.755902i	−0.975574	−	0.219672i	$-0.929501\pi$
$967$	−23.5060	+	23.5060i	−0.755902	+	0.755902i	0.219672	+	0.975574i	$0.429501\pi$
$968$	27.2330	+	5.20297i	0.875303	+	0.167230i
$969$	−16.6517	+	62.1451i	−0.534931	+	1.99639i
$970$	40.8227	−	2.65337i	1.31074	−	0.0851946i
$971$	30.2748	−	17.4792i	0.971564	−	0.560933i	0.0718515	−	0.997415i	$-0.477109\pi$
$971$	30.2748	−	17.4792i	0.971564	−	0.560933i	0.899713	+	0.436482i	$0.143776\pi$
$972$	−36.1182	+	23.2669i	−1.15849	+	0.746287i
$973$	−18.2768	−	68.2099i	−0.585927	−	2.18671i
$974$	−14.3024	+	8.72839i	−0.458280	+	0.279676i
$975$	−31.3138	+	29.8935i	−1.00284	+	0.957357i
$976$	−17.2522	−	24.1169i	−0.552230	−	0.771963i
$977$	−24.6956	+	6.61717i	−0.790083	+	0.211702i	−0.631225	−	0.775599i	$-0.717448\pi$
$977$	−24.6956	+	6.61717i	−0.790083	+	0.211702i	−0.158857	+	0.987302i	$0.550781\pi$
$978$	−51.7140	+	1.25898i	−1.65363	+	0.0402577i
$979$	−9.62159	−	16.6651i	−0.307507	−	0.532618i
$980$	−14.8751	−	21.1546i	−0.475169	−	0.675760i
$981$	15.5158	+	4.15745i	0.495382	+	0.132737i
$982$	7.30815	+	24.8396i	0.233212	+	0.792664i
$983$	−1.70777	−	1.70777i	−0.0544695	−	0.0544695i	0.679347	−	0.733817i	$-0.262263\pi$
$983$	−1.70777	−	1.70777i	−0.0544695	−	0.0544695i	−0.733817	+	0.679347i	$0.762263\pi$
$984$	19.3792	+	28.5329i	0.617785	+	0.909597i
$985$	−5.48750	+	24.3981i	−0.174846	+	0.777388i
$986$	−11.1405	+	11.6965i	−0.354787	+	0.372493i
$987$		−	10.4870i		−	0.333805i
$988$	−34.1441	+	17.2559i	−1.08627	+	0.548984i
$989$	11.5414			0.366994
$990$	−8.58451	−	4.23922i	−0.272834	−	0.134731i
$991$	−26.6643	−	15.3946i	−0.847020	−	0.489027i	0.0126245	−	0.999920i	$-0.495981\pi$
$991$	−26.6643	−	15.3946i	−0.847020	−	0.489027i	−0.859644	+	0.510893i	$0.829315\pi$
$992$	44.2014	−	5.40608i	1.40340	−	0.171643i
$993$	27.9572	+	27.9572i	0.887196	+	0.887196i
$994$	−10.2103	+	3.00402i	−0.323853	+	0.0952818i
$995$	28.3726	−	1.15159i	0.899471	−	0.0365079i
$996$	−30.6781	+	9.84329i	−0.972074	+	0.311897i
$997$	−10.8911	+	6.28797i	−0.344924	+	0.199142i	−0.662447	−	0.749108i	$-0.730482\pi$
$997$	−10.8911	+	6.28797i	−0.344924	+	0.199142i	0.317523	+	0.948251i	$0.397149\pi$
$998$	41.1941	−	1.00287i	1.30398	−	0.0317454i
$999$	1.55423	+	5.80048i	0.0491738	+	0.183519i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bc.c.19.8	yes	144
4.3	odd	2	inner	260.2.bc.c.19.3	✓	144
5.4	even	2	inner	260.2.bc.c.19.29	yes	144
13.11	odd	12	inner	260.2.bc.c.219.34	yes	144
20.19	odd	2	inner	260.2.bc.c.19.34	yes	144
52.11	even	12	inner	260.2.bc.c.219.29	yes	144
65.24	odd	12	inner	260.2.bc.c.219.3	yes	144
260.219	even	12	inner	260.2.bc.c.219.8	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bc.c.19.3	✓	144	4.3	odd	2	inner
260.2.bc.c.19.8	yes	144	1.1	even	1	trivial
260.2.bc.c.19.29	yes	144	5.4	even	2	inner
260.2.bc.c.19.34	yes	144	20.19	odd	2	inner
260.2.bc.c.219.3	yes	144	65.24	odd	12	inner
260.2.bc.c.219.8	yes	144	260.219	even	12	inner
260.2.bc.c.219.29	yes	144	52.11	even	12	inner
260.2.bc.c.219.34	yes	144	13.11	odd	12	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:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.975366 + 1.02404i) q^{2} +(1.20070 - 2.07967i) q^{3} +(-0.0973226 - 1.99763i) q^{4} +(-1.03858 + 1.98024i) q^{5} +(0.958547 + 3.25800i) q^{6} +(0.925353 - 3.45346i) q^{7} +(2.14058 + 1.84876i) q^{8} +(-1.38334 - 2.39602i) q^{9} +O(q^{10})\)	\(q+(-0.975366 + 1.02404i) q^{2} +(1.20070 - 2.07967i) q^{3} +(-0.0973226 - 1.99763i) q^{4} +(-1.03858 + 1.98024i) q^{5} +(0.958547 + 3.25800i) q^{6} +(0.925353 - 3.45346i) q^{7} +(2.14058 + 1.84876i) q^{8} +(-1.38334 - 2.39602i) q^{9} +(-1.01485 - 2.99501i) q^{10} +(0.283229 + 1.05703i) q^{11} +(-4.27126 - 2.19615i) q^{12} +(2.80116 - 2.27013i) q^{13} +(2.63393 + 4.31599i) q^{14} +(2.87122 + 4.53757i) q^{15} +(-3.98106 + 0.388829i) q^{16} +(-2.52501 - 4.37344i) q^{17} +(3.80289 + 0.920395i) q^{18} +(1.37311 - 5.12450i) q^{19} +(4.05687 + 1.88198i) q^{20} +(-6.07098 - 6.07098i) q^{21} +(-1.35869 - 0.740948i) q^{22} +(-1.59495 - 0.920845i) q^{23} +(6.41499 - 2.23190i) q^{24} +(-2.84270 - 4.11328i) q^{25} +(-0.407450 + 5.08271i) q^{26} +0.560284 q^{27} +(-6.98880 - 1.51241i) q^{28} +(-1.13088 + 1.95874i) q^{29} +(-7.44715 - 1.48554i) q^{30} +(5.56635 + 5.56635i) q^{31} +(3.48481 - 4.45602i) q^{32} +(2.53833 + 0.680144i) q^{33} +(6.94139 + 1.67999i) q^{34} +(5.87763 + 5.41912i) q^{35} +(-4.65173 + 2.99659i) q^{36} +(2.77401 + 10.3528i) q^{37} +(3.90842 + 6.40438i) q^{38} +(-1.35777 - 8.55122i) q^{39} +(-5.88415 + 2.31878i) q^{40} +(1.31433 + 4.90513i) q^{41} +(12.1384 - 0.295509i) q^{42} +(-5.42714 + 3.13336i) q^{43} +(2.08398 - 0.668660i) q^{44} +(6.18140 - 0.250892i) q^{45} +(2.49864 - 0.735135i) q^{46} +(0.863700 + 0.863700i) q^{47} +(-3.97140 + 8.74614i) q^{48} +(-5.00795 - 2.89134i) q^{49} +(6.98484 + 1.10090i) q^{50} -12.1271 q^{51} +(-4.80750 - 5.37475i) q^{52} -2.97374i q^{53} +(-0.546481 + 0.573754i) q^{54} +(-2.38732 - 0.536944i) q^{55} +(8.36541 - 5.68167i) q^{56} +(-9.00857 - 9.00857i) q^{57} +(-0.902811 - 3.06856i) q^{58} +(0.460556 + 0.123406i) q^{59} +(8.78495 - 6.17725i) q^{60} +(3.70655 + 6.41993i) q^{61} +(-11.1294 + 0.270946i) q^{62} +(-9.55464 + 2.56016i) q^{63} +(1.16418 + 7.91484i) q^{64} +(1.58617 + 7.90469i) q^{65} +(-3.17230 + 1.93597i) q^{66} +(-1.01452 - 3.78624i) q^{67} +(-8.49078 + 5.46966i) q^{68} +(-3.83010 + 2.21131i) q^{69} +(-11.2822 + 0.733318i) q^{70} +(-0.544801 + 2.03323i) q^{71} +(1.46850 - 7.68634i) q^{72} +(-2.89837 + 2.89837i) q^{73} +(-13.3073 - 7.25703i) q^{74} +(-11.9675 + 0.973079i) q^{75} +(-10.3705 - 2.24423i) q^{76} +3.91249 q^{77} +(10.0811 + 6.95015i) q^{78} +10.0013i q^{79} +(3.36467 - 8.28728i) q^{80} +(4.82276 - 8.35326i) q^{81} +(-6.30501 - 3.43837i) q^{82} +(4.74350 - 4.74350i) q^{83} +(-11.5367 + 12.7184i) q^{84} +(11.2829 - 0.457952i) q^{85} +(2.08476 - 8.61379i) q^{86} +(2.71568 + 4.70370i) q^{87} +(-1.34791 + 2.78627i) q^{88} +(-16.9855 + 4.55125i) q^{89} +(-5.77221 + 6.57473i) q^{90} +(-5.24775 - 11.7744i) q^{91} +(-1.68428 + 3.27574i) q^{92} +(18.2596 - 4.89265i) q^{93} +(-1.72689 + 0.0420412i) q^{94} +(8.72166 + 8.04128i) q^{95} +(-5.08283 - 12.5976i) q^{96} +(-3.34821 + 12.4957i) q^{97} +(7.84544 - 2.30823i) q^{98} +(2.14085 - 2.14085i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Introduction

L-functions

Modular forms

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