LMFDB - Embedded newform 260.2.bg.c.23.31

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [260,2,Mod(23,260)]

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, 9, 10]))

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

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

chi := DirichletCharacter("260.23");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bg (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			23.31
Character	$\chi$	$=$	260.23
Dual form			260.2.bg.c.147.31

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.30092 - 0.554634i) q^{2} +(0.754665 + 0.202212i) q^{3} +(1.38476 - 1.44306i) q^{4} +(0.282716 + 2.21812i) q^{5} +(1.09391 - 0.155502i) q^{6} +(0.814984 + 3.04156i) q^{7} +(1.00109 - 2.64534i) q^{8} +(-2.06945 - 1.19480i) q^{9} +O(q^{10})$	\(q+(1.30092 - 0.554634i) q^{2} +(0.754665 + 0.202212i) q^{3} +(1.38476 - 1.44306i) q^{4} +(0.282716 + 2.21812i) q^{5} +(1.09391 - 0.155502i) q^{6} +(0.814984 + 3.04156i) q^{7} +(1.00109 - 2.64534i) q^{8} +(-2.06945 - 1.19480i) q^{9} +(1.59803 + 2.72879i) q^{10} +(0.846561 + 1.46629i) q^{11} +(1.33684 - 0.809013i) q^{12} +(-2.00244 - 2.99837i) q^{13} +(2.74718 + 3.50480i) q^{14} +(-0.235175 + 1.73111i) q^{15} +(-0.164861 - 3.99660i) q^{16} +(-1.49691 - 5.58654i) q^{17} +(-3.35485 - 0.406544i) q^{18} +(-1.47839 - 0.853551i) q^{19} +(3.59239 + 2.66360i) q^{20} +2.46016i q^{21} +(1.91456 + 1.43798i) q^{22} +(-1.69316 - 0.453682i) q^{23} +(1.29041 - 1.79391i) q^{24} +(-4.84014 + 1.25420i) q^{25} +(-4.26801 - 2.79001i) q^{26} +(-2.97750 - 2.97750i) q^{27} +(5.51772 + 3.03577i) q^{28} +(1.31383 - 0.758542i) q^{29} +(0.654187 + 2.38246i) q^{30} +8.65488 q^{31} +(-2.43112 - 5.10780i) q^{32} +(0.342369 + 1.27774i) q^{33} +(-5.04584 - 6.43738i) q^{34} +(-6.51615 + 2.66763i) q^{35} +(-4.58986 + 1.33183i) q^{36} +(-0.693362 + 2.58766i) q^{37} +(-2.39667 - 0.290431i) q^{38} +(-0.904867 - 2.66768i) q^{39} +(6.15071 + 1.47266i) q^{40} +(-1.12125 + 0.647352i) q^{41} +(1.36449 + 3.20046i) q^{42} +(2.38355 + 8.89553i) q^{43} +(3.28823 + 0.808819i) q^{44} +(2.06514 - 4.92808i) q^{45} +(-2.45429 + 0.348883i) q^{46} +(-7.31398 + 7.31398i) q^{47} +(0.683745 - 3.04943i) q^{48} +(-2.52472 + 1.45765i) q^{49} +(-5.60100 + 4.31611i) q^{50} -4.51866i q^{51} +(-7.09975 - 1.26238i) q^{52} +(4.69463 + 4.69463i) q^{53} +(-5.52489 - 2.22205i) q^{54} +(-3.01307 + 2.29232i) q^{55} +(8.86183 + 0.888965i) q^{56} +(-0.943094 - 0.943094i) q^{57} +(1.28847 - 1.71549i) q^{58} +(-5.38925 - 3.11149i) q^{59} +(2.17244 + 2.73655i) q^{60} +(1.75935 - 3.04729i) q^{61} +(11.2593 - 4.80029i) q^{62} +(1.94748 - 7.26809i) q^{63} +(-5.99564 - 5.29644i) q^{64} +(6.08463 - 5.28935i) q^{65} +(1.15407 + 1.47234i) q^{66} +(13.9381 + 3.73469i) q^{67} +(-10.1346 - 5.57590i) q^{68} +(-1.18603 - 0.684755i) q^{69} +(-6.99740 + 7.08444i) q^{70} +(2.41646 - 4.18543i) q^{71} +(-5.23234 + 4.27829i) q^{72} +(-8.10316 + 8.10316i) q^{73} +(0.533199 + 3.75089i) q^{74} +(-3.90630 - 0.0322366i) q^{75} +(-3.27895 + 0.951449i) q^{76} +(-3.76987 + 3.76987i) q^{77} +(-2.65674 - 2.96856i) q^{78} -9.28225 q^{79} +(8.81835 - 1.49558i) q^{80} +(1.93946 + 3.35924i) q^{81} +(-1.09960 + 1.46403i) q^{82} +(-7.11624 - 7.11624i) q^{83} +(3.55016 + 3.40674i) q^{84} +(11.9684 - 4.89973i) q^{85} +(8.03456 + 10.2503i) q^{86} +(1.14489 - 0.306772i) q^{87} +(4.72631 - 0.771557i) q^{88} +(0.710435 + 1.23051i) q^{89} +(-0.0467037 - 7.55641i) q^{90} +(7.48777 - 8.53417i) q^{91} +(-2.99932 + 1.81510i) q^{92} +(6.53153 + 1.75012i) q^{93} +(-5.45830 + 13.5715i) q^{94} +(1.47532 - 3.52057i) q^{95} +(-0.801822 - 4.34628i) q^{96} +(-3.76899 + 1.00990i) q^{97} +(-2.47599 + 3.29657i) q^{98} -4.04587i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) $ 144 * q - 6 * q^2 - 12 * q^6	$ 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) $ 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Display 100 coefficients 10 coefficients

Character values

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

$n$	$41$	$131$	$157$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$-1$	$e\left(\frac{3}{4}\right)$

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 $

$2$	1.30092	−	0.554634i	0.919886	−	0.392185i
$2$	1.30092	−	0.554634i	0.919886	−	0.392185i
$3$	0.754665	+	0.202212i	0.435706	+	0.116747i	0.470003	−	0.882665i	$-0.344253\pi$
$3$	0.754665	+	0.202212i	0.435706	+	0.116747i	−0.0342975	+	0.999412i	$0.510919\pi$
$4$	1.38476	−	1.44306i	0.692382	−	0.721531i
$5$	0.282716	+	2.21812i	0.126434	+	0.991975i
$5$	0.282716	+	2.21812i	0.126434	+	0.991975i
$6$	1.09391	−	0.155502i	0.446586	−	0.0634834i
$7$	0.814984	+	3.04156i	0.308035	+	1.14960i	0.930301	+	0.366796i	$0.119545\pi$
$7$	0.814984	+	3.04156i	0.308035	+	1.14960i	−0.622266	+	0.782806i	$0.713788\pi$
$8$	1.00109	−	2.64534i	0.353938	−	0.935269i
$9$	−2.06945	−	1.19480i	−0.689816	−	0.398265i
$10$	1.59803	+	2.72879i	0.505343	+	0.862919i
$11$	0.846561	+	1.46629i	0.255248	+	0.442102i	0.964963	−	0.262387i	$-0.0845096\pi$
$11$	0.846561	+	1.46629i	0.255248	+	0.442102i	−0.709715	+	0.704489i	$0.751176\pi$
$12$	1.33684	−	0.809013i	0.385911	−	0.233542i
$13$	−2.00244	−	2.99837i	−0.555378	−	0.831598i
$13$	−2.00244	−	2.99837i	−0.555378	−	0.831598i
$14$	2.74718	+	3.50480i	0.734214	+	0.936697i
$15$	−0.235175	+	1.73111i	−0.0607220	+	0.446970i
$16$	−0.164861	−	3.99660i	−0.0412153	−	0.999150i
$17$	−1.49691	−	5.58654i	−0.363054	−	1.35494i	−0.870040	−	0.492981i	$-0.835907\pi$
$17$	−1.49691	−	5.58654i	−0.363054	−	1.35494i	0.506986	−	0.861954i	$-0.330760\pi$
$18$	−3.35485	−	0.406544i	−0.790746	−	0.0958233i
$19$	−1.47839	−	0.853551i	−0.339167	−	0.195818i	0.320737	−	0.947168i	$-0.396070\pi$
$19$	−1.47839	−	0.853551i	−0.339167	−	0.195818i	−0.659904	+	0.751350i	$0.729403\pi$
$20$	3.59239	+	2.66360i	0.803282	+	0.595599i
$21$			2.46016i			0.536851i
$22$	1.91456	+	1.43798i	0.408185	+	0.306579i
$23$	−1.69316	−	0.453682i	−0.353049	−	0.0945991i	0.0779359	−	0.996958i	$-0.475167\pi$
$23$	−1.69316	−	0.453682i	−0.353049	−	0.0945991i	−0.430985	+	0.902359i	$0.641834\pi$
$24$	1.29041	−	1.79391i	0.263403	−	0.366181i
$25$	−4.84014	+	1.25420i	−0.968029	+	0.250839i
$26$	−4.26801	−	2.79001i	−0.837025	−	0.547165i
$27$	−2.97750	−	2.97750i	−0.573019	−	0.573019i
$28$	5.51772	+	3.03577i	1.04275	+	0.573707i
$29$	1.31383	−	0.758542i	0.243973	−	0.140858i	−0.373029	−	0.927820i	$-0.621681\pi$
$29$	1.31383	−	0.758542i	0.243973	−	0.140858i	0.617001	+	0.786962i	$0.288347\pi$
$30$	0.654187	+	2.38246i	0.119438	+	0.434976i
$31$	8.65488			1.55446			0.777231	−	0.629215i	$-0.216624\pi$
$31$	8.65488			1.55446			0.777231	+	0.629215i	$0.216624\pi$
$32$	−2.43112	−	5.10780i	−0.429765	−	0.902941i
$33$	0.342369	+	1.27774i	0.0595988	+	0.222426i
$34$	−5.04584	−	6.43738i	−0.865354	−	1.10400i
$35$	−6.51615	+	2.66763i	−1.10143	+	0.450912i
$36$	−4.58986	+	1.33183i	−0.764977	+	0.221972i
$37$	−0.693362	+	2.58766i	−0.113988	+	0.425409i	−0.999209	−	0.0397611i	$-0.987340\pi$
$37$	−0.693362	+	2.58766i	−0.113988	+	0.425409i	0.885221	+	0.465170i	$0.154007\pi$
$38$	−2.39667	−	0.290431i	−0.388792	−	0.0471142i
$39$	−0.904867	−	2.66768i	−0.144895	−	0.427171i
$40$	6.15071	+	1.47266i	0.972513	+	0.232848i
$41$	−1.12125	+	0.647352i	−0.175109	+	0.101099i	−0.584993	−	0.811038i	$-0.698903\pi$
$41$	−1.12125	+	0.647352i	−0.175109	+	0.101099i	0.409884	+	0.912138i	$0.365569\pi$
$42$	1.36449	+	3.20046i	0.210545	+	0.493842i
$43$	2.38355	+	8.89553i	0.363488	+	1.35656i	0.869459	+	0.494005i	$0.164468\pi$
$43$	2.38355	+	8.89553i	0.363488	+	1.35656i	−0.505971	+	0.862551i	$0.668866\pi$
$44$	3.28823	+	0.808819i	0.495719	+	0.121934i
$45$	2.06514	−	4.92808i	0.307853	−	0.734634i
$46$	−2.45429	+	0.348883i	−0.361865	+	0.0514400i
$47$	−7.31398	+	7.31398i	−1.06685	+	1.06685i	−0.0692551	+	0.997599i	$0.522062\pi$
$47$	−7.31398	+	7.31398i	−1.06685	+	1.06685i	−0.997599	+	0.0692551i	$0.977938\pi$
$48$	0.683745	−	3.04943i	0.0986901	−	0.440147i
$49$	−2.52472	+	1.45765i	−0.360674	+	0.208235i
$50$	−5.60100	+	4.31611i	−0.792101	+	0.610390i
$51$		−	4.51866i		−	0.632739i
$52$	−7.09975	−	1.26238i	−0.984558	−	0.175061i
$53$	4.69463	+	4.69463i	0.644857	+	0.644857i	0.951746	−	0.306888i	$-0.0992878\pi$
$53$	4.69463	+	4.69463i	0.644857	+	0.644857i	−0.306888	+	0.951746i	$0.599288\pi$
$54$	−5.52489	−	2.22205i	−0.751842	−	0.302383i
$55$	−3.01307	+	2.29232i	−0.406282	+	0.309096i
$56$	8.86183	+	0.888965i	1.18421	+	0.118793i
$57$	−0.943094	−	0.943094i	−0.124916	−	0.124916i
$58$	1.28847	−	1.71549i	0.169185	−	0.225255i
$59$	−5.38925	−	3.11149i	−0.701621	−	0.405081i	0.106330	−	0.994331i	$-0.466090\pi$
$59$	−5.38925	−	3.11149i	−0.701621	−	0.405081i	−0.807951	+	0.589250i	$0.799423\pi$
$60$	2.17244	+	2.73655i	0.280460	+	0.353287i
$61$	1.75935	−	3.04729i	0.225262	−	0.390165i	−0.731136	−	0.682232i	$-0.761010\pi$
$61$	1.75935	−	3.04729i	0.225262	−	0.390165i	0.956398	+	0.292066i	$0.0943428\pi$
$62$	11.2593	−	4.80029i	1.42993	−	0.609637i
$63$	1.94748	−	7.26809i	0.245359	−	0.915693i
$64$	−5.99564	−	5.29644i	−0.749455	−	0.662055i
$65$	6.08463	−	5.28935i	0.754706	−	0.656063i
$66$	1.15407	+	1.47234i	0.142056	+	0.181233i
$67$	13.9381	+	3.73469i	1.70281	+	0.456265i	0.973643	−	0.228076i	$-0.0732434\pi$
$67$	13.9381	+	3.73469i	1.70281	+	0.456265i	0.729162	+	0.684341i	$0.239910\pi$
$68$	−10.1346	−	5.57590i	−1.22900	−	0.676178i
$69$	−1.18603	−	0.684755i	−0.142781	−	0.0824348i
$70$	−6.99740	+	7.08444i	−0.836350	+	0.846752i
$71$	2.41646	−	4.18543i	0.286781	−	0.496719i	−0.686258	−	0.727358i	$-0.740748\pi$
$71$	2.41646	−	4.18543i	0.286781	−	0.496719i	0.973040	+	0.230638i	$0.0740814\pi$
$72$	−5.23234	+	4.27829i	−0.616637	+	0.504202i
$73$	−8.10316	+	8.10316i	−0.948404	+	0.948404i	−0.998733	−	0.0503291i	$-0.983973\pi$
$73$	−8.10316	+	8.10316i	−0.948404	+	0.948404i	0.0503291	+	0.998733i	$0.483973\pi$
$74$	0.533199	+	3.75089i	0.0619831	+	0.436033i
$75$	−3.90630	−	0.0322366i	−0.451061	−	0.00372237i
$76$	−3.27895	+	0.951449i	−0.376122	+	0.109139i
$77$	−3.76987	+	3.76987i	−0.429616	+	0.429616i
$78$	−2.65674	−	2.96856i	−0.300817	−	0.336123i
$79$	−9.28225			−1.04433			−0.522167	−	0.852843i	$-0.674876\pi$
$79$	−9.28225			−1.04433			−0.522167	+	0.852843i	$0.674876\pi$
$80$	8.81835	−	1.49558i	0.985921	−	0.167211i
$81$	1.93946	+	3.35924i	0.215496	+	0.373249i
$82$	−1.09960	+	1.46403i	−0.121431	+	0.161675i
$83$	−7.11624	−	7.11624i	−0.781109	−	0.781109i	0.198909	−	0.980018i	$-0.436260\pi$
$83$	−7.11624	−	7.11624i	−0.781109	−	0.781109i	−0.980018	+	0.198909i	$0.936260\pi$
$84$	3.55016	+	3.40674i	0.387355	+	0.371706i
$85$	11.9684	−	4.89973i	1.29816	−	0.531451i
$86$	8.03456	+	10.2503i	0.866389	+	1.10532i
$87$	1.14489	−	0.306772i	0.122745	−	0.0328894i
$88$	4.72631	−	0.771557i	0.503826	−	0.0822483i
$89$	0.710435	+	1.23051i	0.0753060	+	0.130434i	0.901219	−	0.433363i	$-0.142673\pi$
$89$	0.710435	+	1.23051i	0.0753060	+	0.130434i	−0.825913	+	0.563797i	$0.809340\pi$
$90$	−0.0467037	−	7.55641i	−0.00492300	−	0.796515i
$91$	7.48777	−	8.53417i	0.784931	−	0.894625i
$92$	−2.99932	+	1.81510i	−0.312701	+	0.189237i
$93$	6.53153	+	1.75012i	0.677288	+	0.181479i
$94$	−5.45830	+	13.5715i	−0.562980	+	1.39979i
$95$	1.47532	−	3.52057i	0.151364	−	0.361203i
$96$	−0.801822	−	4.34628i	−0.0818356	−	0.443590i
$97$	−3.76899	+	1.00990i	−0.382683	+	0.102540i	−0.445032	−	0.895515i	$-0.646808\pi$
$97$	−3.76899	+	1.00990i	−0.382683	+	0.102540i	0.0623486	+	0.998054i	$0.480141\pi$
$98$	−2.47599	+	3.29657i	−0.250112	+	0.333004i
$99$		−	4.04587i		−	0.406625i
$100$	−4.89257	+	8.72140i	−0.489257	+	0.872140i
$101$	1.80715	+	3.13008i	0.179818	+	0.311454i	0.941818	−	0.336123i	$-0.109116\pi$
$101$	1.80715	+	3.13008i	0.179818	+	0.311454i	−0.762000	+	0.647577i	$0.775782\pi$
$102$	−2.50620	−	5.87840i	−0.248151	−	0.582048i
$103$	5.35764	−	5.35764i	0.527904	−	0.527904i	−0.392043	−	0.919947i	$-0.628232\pi$
$103$	5.35764	−	5.35764i	0.527904	−	0.527904i	0.919947	+	0.392043i	$0.128232\pi$
$104$	−9.93633	+	2.29550i	−0.974337	+	0.225093i
$105$	−5.45694	+	0.695525i	−0.532542	+	0.0678763i
$106$	8.71112	+	3.50352i	0.846099	+	0.340292i
$107$	−4.98393	+	18.6003i	−0.481815	+	1.79816i	0.112177	+	0.993688i	$0.464218\pi$
$107$	−4.98393	+	18.6003i	−0.481815	+	1.79816i	−0.593993	+	0.804471i	$0.702449\pi$
$108$	−8.41984	+	0.173587i	−0.810200	+	0.0167034i
$109$	13.0909			1.25388			0.626940	−	0.779067i	$-0.284307\pi$
$109$	13.0909			1.25388			0.626940	+	0.779067i	$0.284307\pi$
$110$	−2.64835	+	4.65326i	−0.252510	+	0.443671i
$111$	−1.04651	+	1.81261i	−0.0993306	+	0.172046i
$112$	12.0215	−	3.75860i	1.13593	−	0.355154i
$113$	4.40696	−	1.18084i	0.414572	−	0.111084i	−0.0455031	−	0.998964i	$-0.514489\pi$
$113$	4.40696	−	1.18084i	0.414572	−	0.111084i	0.460075	+	0.887880i	$0.347822\pi$
$114$	−1.74996	−	0.703814i	−0.163898	−	0.0659182i
$115$	0.527638	−	3.88391i	0.0492025	−	0.362176i
$116$	0.724724	−	2.94634i	0.0672889	−	0.273561i
$117$	0.561508	+	8.59748i	0.0519114	+	0.794837i
$118$	−8.73669	−	1.05872i	−0.804278	−	0.0974632i
$119$	15.7719	−	9.10588i	1.44580	−	0.834735i
$120$	4.34394	+	2.35511i	0.396545	+	0.214991i
$121$	4.06667	−	7.04368i	0.369697	−	0.640334i
$122$	0.598641	−	4.94006i	0.0541984	−	0.447252i
$123$	−0.977067	+	0.261804i	−0.0880992	+	0.0236061i
$124$	11.9850	−	12.4895i	1.07628	−	1.12159i
$125$	−4.15035	−	10.3815i	−0.371218	−	0.928546i
$126$	−1.49762	−	10.5353i	−0.133419	−	0.938560i
$127$	−1.51107	+	5.63940i	−0.134086	+	0.500416i	0.865914	+	0.500193i	$0.166738\pi$
$127$	−1.51107	+	5.63940i	−0.134086	+	0.500416i	−1.00000		0.000223043i	$0.999929\pi$
$128$	−10.7374	−	3.56484i	−0.949062	−	0.315090i
$129$			7.19513i			0.633496i
$130$	4.98194	−	10.2557i	0.436945	−	0.899488i
$131$		−	1.50749i		−	0.131710i	−0.997829	−	0.0658548i	$-0.979023\pi$
$131$		−	1.50749i		−	0.131710i	0.997829	−	0.0658548i	$-0.0209774\pi$
$132$	2.31796	+	1.27531i	0.201752	+	0.111001i
$133$	1.39126	−	5.19226i	0.120638	−	0.450226i
$134$	20.2036	−	2.87200i	1.74533	−	0.248103i
$135$	5.76267	−	7.44624i	0.495972	−	0.640870i
$136$	−16.2768	−	1.63279i	−1.39573	−	0.140011i
$137$	−18.4924	+	4.95502i	−1.57991	+	0.423336i	−0.938898	−	0.344195i	$-0.888152\pi$
$137$	−18.4924	+	4.95502i	−1.57991	+	0.423336i	−0.641012	+	0.767531i	$0.721485\pi$
$138$	−1.92271	−	0.232996i	−0.163672	−	0.0198340i
$139$	6.83643	−	11.8410i	0.579858	−	1.00434i	−0.415637	−	0.909531i	$-0.636441\pi$
$139$	6.83643	−	11.8410i	0.579858	−	1.00434i	0.995495	−	0.0948132i	$-0.0302254\pi$
$140$	−5.17377	+	13.0973i	−0.437263	+	1.10692i
$141$	−6.99858	+	4.04063i	−0.589387	+	0.340283i
$142$	0.822230	−	6.78515i	0.0690000	−	0.569397i
$143$	2.70128	−	5.47446i	0.225892	−	0.457797i
$144$	−4.43395	+	8.46773i	−0.369496	+	0.705644i
$145$	2.05398	+	2.69979i	0.170574	+	0.224205i
$146$	−6.04725	+	15.0358i	−0.500474	+	1.24437i
$147$	−2.20007	+	0.589507i	−0.181459	+	0.0486217i
$148$	2.77402	+	4.58387i	0.228023	+	0.376792i
$149$	8.14994	−	14.1161i	0.667669	−	1.15644i	−0.310885	−	0.950447i	$-0.600625\pi$
$149$	8.14994	−	14.1161i	0.667669	−	1.15644i	0.978554	−	0.205989i	$-0.0660412\pi$
$150$	−5.09965	+	2.12463i	−0.416384	+	0.173475i
$151$	13.2716			1.08003			0.540013	−	0.841656i	$-0.318419\pi$
$151$	13.2716			1.08003			0.540013	+	0.841656i	$0.318419\pi$
$152$	−3.73794	+	3.05637i	−0.303187	+	0.247905i
$153$	−3.57700	+	13.3496i	−0.289184	+	1.07925i
$154$	−2.81338	+	6.99517i	−0.226709	+	0.563687i
$155$	2.44687	+	19.1976i	0.196537	+	1.54199i
$156$	−5.10266	−	2.38833i	−0.408540	−	0.191219i
$157$	13.8068	−	13.8068i	1.10191	−	1.10191i	0.107725	−	0.994181i	$-0.465643\pi$
$157$	13.8068	−	13.8068i	1.10191	−	1.10191i	0.994181	−	0.107725i	$-0.0343566\pi$
$158$	−12.0754	+	5.14825i	−0.960669	+	0.409573i
$159$	2.59356	+	4.49218i	0.205683	+	0.356253i
$160$	10.6424	−	6.83658i	0.841357	−	0.540479i
$161$		−	5.51960i		−	0.435005i
$162$	4.38623	+	3.29440i	0.344614	+	0.258833i
$163$	11.4151	−	3.05866i	0.894099	−	0.239573i	0.217619	−	0.976034i	$-0.430171\pi$
$163$	11.4151	−	3.05866i	0.894099	−	0.239573i	0.676480	+	0.736461i	$0.263504\pi$
$164$	−0.618491	+	2.51446i	−0.0482961	+	0.196346i
$165$	−2.73739	+	1.12065i	−0.213106	+	0.0872428i
$166$	−13.2045	−	5.31072i	−1.02487	−	0.412192i
$167$	−7.68440	−	2.05903i	−0.594637	−	0.159333i	−0.0510655	−	0.998695i	$-0.516262\pi$
$167$	−7.68440	−	2.05903i	−0.594637	−	0.159333i	−0.543572	+	0.839363i	$0.682928\pi$
$168$	6.50795	+	2.46284i	0.502100	+	0.190012i
$169$	−4.98045	+	12.0081i	−0.383111	+	0.923702i
$170$	12.8524	−	13.0122i	0.985732	−	0.997993i
$171$	2.03964	+	3.53276i	0.155975	+	0.270157i
$172$	16.1375	+	8.87859i	1.23047	+	0.676986i
$173$	−8.22963	+	2.20512i	−0.625687	+	0.167652i	−0.557712	−	0.830035i	$-0.688321\pi$
$173$	−8.22963	+	2.20512i	−0.625687	+	0.167652i	−0.0679752	+	0.997687i	$0.521654\pi$
$174$	1.31926	−	1.03408i	0.100013	−	0.0783933i
$175$	−7.75935	−	13.6994i	−0.586552	−	1.03558i
$176$	5.72060	−	3.62510i	0.431206	−	0.273252i
$177$	−3.43790	−	3.43790i	−0.258408	−	0.258408i
$178$	1.60670	+	1.20676i	0.120427	+	0.0904504i
$179$	6.66957	+	11.5520i	0.498507	+	0.863439i	0.999999	−	0.00172335i	$-0.000548558\pi$
$179$	6.66957	+	11.5520i	0.498507	+	0.863439i	−0.501492	+	0.865162i	$0.667215\pi$
$180$	−4.25179	−	9.80435i	−0.316910	−	0.730773i
$181$	18.9562			1.40901			0.704503	−	0.709701i	$-0.251170\pi$
$181$	18.9562			1.40901			0.704503	+	0.709701i	$0.251170\pi$
$182$	5.00762	−	15.2552i	0.371189	−	1.13079i
$183$	1.94392	−	1.94392i	0.143699	−	0.143699i
$184$	−2.89515	+	4.02481i	−0.213433	+	0.296713i
$185$	−5.93578	−	0.806391i	−0.436407	−	0.0592870i
$186$	9.46765	−	1.34585i	0.694202	−	0.0986825i
$187$	6.92425	−	6.92425i	0.506351	−	0.506351i
$188$	0.426402	+	20.6827i	0.0310986	+	1.50844i
$189$	6.62962	−	11.4828i	0.482234	−	0.835254i
$190$	−0.0333647	−	5.39823i	−0.00242053	−	0.391629i
$191$	−11.6625	−	6.73335i	−0.843869	−	0.487208i	0.0147083	−	0.999892i	$-0.495318\pi$
$191$	−11.6625	−	6.73335i	−0.843869	−	0.487208i	−0.858578	+	0.512684i	$0.828651\pi$
$192$	−3.45370	−	5.20943i	−0.249249	−	0.375958i
$193$	−4.40750	−	1.18099i	−0.317259	−	0.0850092i	0.0966757	−	0.995316i	$-0.469179\pi$
$193$	−4.40750	−	1.18099i	−0.317259	−	0.0850092i	−0.413934	+	0.910307i	$0.635846\pi$
$194$	−4.34302	+	3.40420i	−0.311810	+	0.244407i
$195$	5.66143	−	2.76130i	0.405423	−	0.197741i
$196$	−1.39266	+	5.66182i	−0.0994758	+	0.404416i
$197$	2.58333	−	9.64110i	0.184054	−	0.686900i	−0.810777	−	0.585356i	$-0.800955\pi$
$197$	2.58333	−	9.64110i	0.184054	−	0.686900i	0.994831	−	0.101545i	$-0.0323784\pi$
$198$	−2.24398	−	5.26334i	−0.159472	−	0.374049i
$199$	−9.35295	+	16.1998i	−0.663013	+	1.14837i	0.316807	+	0.948490i	$0.397389\pi$
$199$	−9.35295	+	16.1998i	−0.663013	+	1.14837i	−0.979820	+	0.199882i	$0.935944\pi$
$200$	−1.52764	+	14.0594i	−0.108021	+	0.994149i
$201$	9.76337	+	5.63688i	0.688655	+	0.397595i
$202$	4.08699	+	3.06966i	0.287560	+	0.215980i
$203$	3.37790	+	3.37790i	0.237082	+	0.237082i
$204$	−6.52071	−	6.25727i	−0.456541	−	0.438097i
$205$	−1.75290	−	2.30405i	−0.122428	−	0.160922i
$206$	3.99831	−	9.94136i	0.278575	−	0.692647i
$207$	2.96185	+	2.96185i	0.205863	+	0.205863i
$208$	−11.6532	+	8.49728i	−0.808002	+	0.589180i
$209$		−	2.89033i		−	0.199928i
$210$	−6.71325	+	3.93142i	−0.463258	+	0.271294i
$211$	−19.2027	+	11.0867i	−1.32197	+	0.763239i	−0.984043	−	0.177933i	$-0.943059\pi$
$211$	−19.2027	+	11.0867i	−1.32197	+	0.763239i	−0.337927	+	0.941172i	$0.609726\pi$
$212$	13.2756	−	0.273695i	0.911772	−	0.0187975i
$213$	2.66996	−	2.66996i	0.182943	−	0.182943i
$214$	3.83267	+	26.9617i	0.261996	+	1.84306i
$215$	−19.0575	+	7.80191i	−1.29971	+	0.532086i
$216$	−10.8572	+	4.89575i	−0.738741	+	0.333113i
$217$	7.05359	+	26.3243i	0.478829	+	1.78701i
$218$	17.0302	−	7.26065i	1.15343	−	0.491753i
$219$	−7.75373	+	4.47662i	−0.523948	+	0.302502i
$220$	−0.864427	+	7.52237i	−0.0582796	+	0.507158i
$221$	−13.7530	+	15.6750i	−0.925130	+	1.05442i
$222$	−0.356089	+	2.93849i	−0.0238991	+	0.197218i
$223$	−6.10355	+	22.7788i	−0.408724	+	1.52538i	0.388359	+	0.921508i	$0.373042\pi$
$223$	−6.10355	+	22.7788i	−0.408724	+	1.52538i	−0.797083	+	0.603870i	$0.793624\pi$
$224$	13.5544	−	11.5572i	0.905640	−	0.772196i
$225$	11.5149	+	3.18749i	0.767662	+	0.212499i
$226$	5.07815	−	3.98043i	0.337794	−	0.264774i
$227$	−6.68762	−	24.9585i	−0.443873	−	1.65656i	−0.718896	−	0.695118i	$-0.755352\pi$
$227$	−6.68762	−	24.9585i	−0.443873	−	1.65656i	0.275023	−	0.961438i	$-0.411315\pi$
$228$	−2.66690	+	0.0549820i	−0.176620	+	0.00364127i
$229$	0.143658			0.00949318			0.00474659	−	0.999989i	$-0.498489\pi$
$229$	0.143658			0.00949318			0.00474659	+	0.999989i	$0.498489\pi$
$230$	−1.46773	−	5.34528i	−0.0967794	−	0.352457i
$231$	−3.60730	+	2.08267i	−0.237343	+	0.137030i
$232$	−0.691336	−	4.23490i	−0.0453885	−	0.278035i
$233$	−9.50636	−	9.50636i	−0.622782	−	0.622782i	0.323460	−	0.946242i	$-0.395154\pi$
$233$	−9.50636	−	9.50636i	−0.622782	−	0.622782i	−0.946242	+	0.323460i	$0.895154\pi$
$234$	5.49892	+	10.8732i	0.359476	+	0.710801i
$235$	−18.2911	−	14.1555i	−1.19318	−	0.923406i
$236$	−11.9529	+	3.46836i	−0.778068	+	0.225771i
$237$	−7.00499	−	1.87698i	−0.455023	−	0.121923i
$238$	15.4674	−	20.5936i	1.00260	−	1.33488i
$239$			5.42372i			0.350831i	0.984494	+	0.175416i	$0.0561269\pi$
$239$			5.42372i			0.350831i	−0.984494	+	0.175416i	$0.943873\pi$
$240$	6.95732	+	0.654509i	0.449093	+	0.0422484i
$241$	−1.46196	−	0.844062i	−0.0941730	−	0.0543708i	0.452174	−	0.891930i	$-0.350649\pi$
$241$	−1.46196	−	0.844062i	−0.0941730	−	0.0543708i	−0.546347	+	0.837559i	$0.683982\pi$
$242$	1.38373	−	11.4187i	0.0889498	−	0.734024i
$243$	4.05388	+	15.1293i	0.260057	+	0.970544i
$244$	−1.96114	−	6.75863i	−0.125549	−	0.432677i
$245$	−3.94702	−	5.18804i	−0.252166	−	0.331452i
$246$	−1.12588	+	0.882500i	−0.0717833	+	0.0562661i
$247$	0.401136	+	6.14196i	0.0255237	+	0.390804i
$248$	8.66431	−	22.8951i	0.550184	−	1.45384i
$249$	−3.93139	−	6.80936i	−0.249142	−	0.431526i
$250$	−11.1572	−	11.2035i	−0.705640	−	0.708570i
$251$	−7.32610	−	4.22972i	−0.462419	−	0.266978i	0.250642	−	0.968080i	$-0.419358\pi$
$251$	−7.32610	−	4.22972i	−0.462419	−	0.266978i	−0.713061	+	0.701102i	$0.752692\pi$
$252$	−7.79151	−	12.8749i	−0.490819	−	0.811044i
$253$	−0.768138	−	2.86673i	−0.0482924	−	0.180230i
$254$	1.16202	+	8.17448i	0.0729118	+	0.512913i
$255$	10.0229	−	1.27750i	0.627661	−	0.0799999i
$256$	−15.9456	+	1.31777i	−0.996603	+	0.0823606i
$257$	−16.5218	−	4.42700i	−1.03060	−	0.276149i	−0.296388	−	0.955068i	$-0.595782\pi$
$257$	−16.5218	−	4.42700i	−1.03060	−	0.276149i	−0.734213	+	0.678919i	$0.762449\pi$
$258$	3.99066	+	9.36025i	0.248448	+	0.582744i
$259$	−8.43562			−0.524164
$260$	0.792913	−	16.1050i	0.0491743	−	0.998790i
$261$	−3.62521			−0.224395
$262$	−0.836102	−	1.96111i	−0.0516546	−	0.121158i
$263$	2.96017	+	0.793174i	0.182532	+	0.0489092i	0.348927	−	0.937150i	$-0.386546\pi$
$263$	2.96017	+	0.793174i	0.182532	+	0.0489092i	−0.166395	+	0.986059i	$0.553213\pi$
$264$	3.72280	+	0.373448i	0.229122	+	0.0229842i
$265$	−9.08603	+	11.7405i	−0.558150	+	0.721214i
$266$	−1.06989	−	7.52633i	−0.0655989	−	0.461469i
$267$	0.287317	+	1.07228i	0.0175835	+	0.0656225i
$268$	24.6903	−	14.9418i	1.50820	−	0.912718i
$269$	−6.66060	−	3.84550i	−0.406104	−	0.234464i	0.283010	−	0.959117i	$-0.408667\pi$
$269$	−6.66060	−	3.84550i	−0.406104	−	0.234464i	−0.689114	+	0.724653i	$0.742000\pi$
$270$	3.36681	−	12.8831i	0.204898	−	0.784040i
$271$	2.51715	+	4.35983i	0.152906	+	0.264841i	0.932295	−	0.361700i	$-0.117804\pi$
$271$	2.51715	+	4.35983i	0.152906	+	0.264841i	−0.779389	+	0.626541i	$0.784470\pi$
$272$	−22.0804	+	6.90355i	−1.33882	+	0.418589i
$273$	7.37647	−	4.92633i	0.446444	−	0.298155i
$274$	−21.3088	+	16.7025i	−1.28731	+	1.00904i
$275$	−5.93649	−	6.03528i	−0.357984	−	0.363941i
$276$	−2.63052	+	0.763293i	−0.158338	+	0.0459448i
$277$	−2.43660	−	9.09352i	−0.146401	−	0.546376i	−0.999689	−	0.0249364i	$-0.992062\pi$
$277$	−2.43660	−	9.09352i	−0.146401	−	0.546376i	0.853288	−	0.521440i	$-0.174605\pi$
$278$	2.32618	−	19.1959i	0.139515	−	1.15129i
$279$	−17.9108	−	10.3408i	−1.07229	−	0.619088i
$280$	0.533543	+	19.9080i	0.0318853	+	1.18973i
$281$		−	16.4775i		−	0.982967i	−0.870887	−	0.491484i	$-0.836455\pi$
$281$		−	16.4775i		−	0.982967i	0.870887	−	0.491484i	$-0.163545\pi$
$282$	−6.86349	+	9.13817i	−0.408715	+	0.544170i
$283$	7.40783	+	1.98492i	0.440350	+	0.117991i	0.472181	−	0.881502i	$-0.343467\pi$
$283$	7.40783	+	1.98492i	0.440350	+	0.117991i	−0.0318306	+	0.999493i	$0.510134\pi$
$284$	−2.69362	−	9.28294i	−0.159837	−	0.550841i
$285$	1.82527	−	2.35853i	0.108120	−	0.139707i
$286$	0.477821	−	8.62003i	0.0282541	−	0.509713i
$287$	−2.88276	−	2.88276i	−0.170164	−	0.170164i
$288$	−1.07171	+	13.4750i	−0.0631511	+	0.794023i
$289$	−14.2463	+	8.22510i	−0.838017	+	0.483829i
$290$	4.16945	+	2.37300i	0.244839	+	0.139347i
$291$	−3.04854			−0.178708
$292$	0.472411	+	22.9143i	0.0276458	+	1.34096i
$293$	4.38556	+	16.3671i	0.256207	+	0.956179i	0.967415	+	0.253197i	$0.0814820\pi$
$293$	4.38556	+	16.3671i	0.256207	+	0.956179i	−0.711207	+	0.702982i	$0.751851\pi$
$294$	−2.53514	+	1.98713i	−0.147853	+	0.115892i
$295$	5.37803	−	12.8337i	0.313121	−	0.747206i
$296$	6.15113	+	4.42466i	0.357527	+	0.257178i
$297$	1.84523	−	6.88649i	0.107071	−	0.399595i
$298$	2.77312	−	22.8841i	0.160642	−	1.32564i
$299$	2.03016	+	5.98520i	0.117407	+	0.346133i
$300$	−5.45582	+	5.59240i	−0.314992	+	0.322877i
$301$	−25.1138	+	14.4994i	−1.44753	+	0.835733i
$302$	17.2652	−	7.36087i	0.993502	−	0.423570i
$303$	0.730854	+	2.72758i	0.0419865	+	0.156696i
$304$	−3.16757	+	6.04927i	−0.181673	+	0.346949i
$305$	7.25666	+	3.04095i	0.415515	+	0.174124i
$306$	2.75073	+	19.3506i	0.157249	+	1.10620i
$307$	−8.97585	+	8.97585i	−0.512279	+	0.512279i	−0.915224	−	0.402945i	$-0.867986\pi$
$307$	−8.97585	+	8.97585i	−0.512279	+	0.512279i	0.402945	+	0.915224i	$0.367986\pi$
$308$	0.219782	+	10.6605i	0.0125232	+	0.607440i
$309$	5.12660	−	2.95984i	0.291642	−	0.168380i
$310$	13.8308	+	23.6173i	0.785537	+	1.34137i
$311$		−	5.17060i		−	0.293198i	−0.989196	−	0.146599i	$-0.953167\pi$
$311$		−	5.17060i		−	0.293198i	0.989196	−	0.146599i	$-0.0468326\pi$
$312$	−7.96278	−	0.276908i	−0.450803	−	0.0156768i
$313$	−12.0985	−	12.0985i	−0.683847	−	0.683847i	0.277018	−	0.960865i	$-0.410654\pi$
$313$	−12.0985	−	12.0985i	−0.683847	−	0.683847i	−0.960865	+	0.277018i	$0.910654\pi$
$314$	10.3038	−	25.6193i	0.581477	−	1.44578i
$315$	16.6721	+	2.26495i	0.939367	+	0.127615i
$316$	−12.8537	+	13.3949i	−0.723078	+	0.753521i
$317$	5.65270	+	5.65270i	0.317487	+	0.317487i	0.847801	−	0.530314i	$-0.177926\pi$
$317$	5.65270	+	5.65270i	0.317487	+	0.317487i	−0.530314	+	0.847801i	$0.677926\pi$
$318$	5.86552	+	4.40547i	0.328922	+	0.247047i
$319$	2.22448	+	1.28430i	0.124547	+	0.0719072i
$320$	10.0531	−	14.7965i	0.561985	−	0.827147i
$321$	−7.52240	+	13.0292i	−0.419859	+	0.727218i
$322$	−3.06136	−	7.18054i	−0.170603	−	0.400156i
$323$	−2.55538	+	9.53680i	−0.142185	+	0.530642i
$324$	7.53330	+	1.85299i	0.418516	+	0.102944i
$325$	13.4527	+	12.0011i	0.746219	+	0.665701i
$326$	13.1536	−	10.3103i	0.728512	−	0.571032i
$327$	9.87924	+	2.64713i	0.546323	+	0.146387i
$328$	0.589998	+	3.61413i	0.0325772	+	0.199557i
$329$	−28.2067	−	16.2851i	−1.55509	−	0.897829i
$330$	−2.93956	+	2.97613i	−0.161818	+	0.163830i
$331$	8.22026	−	14.2379i	0.451827	−	0.782587i	−0.546673	−	0.837346i	$-0.684106\pi$
$331$	8.22026	−	14.2379i	0.451827	−	0.782587i	0.998500	+	0.0547597i	$0.0174393\pi$
$332$	−20.1235	+	0.414874i	−1.10442	+	0.0227692i
$333$	4.52661	−	4.52661i	0.248057	−	0.248057i
$334$	−11.1388	+	1.58340i	−0.609486	+	0.0866400i
$335$	−4.34350	+	31.9722i	−0.237311	+	1.74683i
$336$	9.83227	−	0.405585i	0.536394	−	0.0221265i
$337$	−1.54306	+	1.54306i	−0.0840560	+	0.0840560i	−0.747885	−	0.663829i	$-0.768930\pi$
$337$	−1.54306	+	1.54306i	−0.0840560	+	0.0840560i	0.663829	+	0.747885i	$0.268930\pi$
$338$	0.180965	+	18.3839i	0.00984321	+	0.999952i
$339$	3.56456			0.193600
$340$	9.50284	−	24.0562i	0.515364	−	1.30463i
$341$	7.32688	+	12.6905i	0.396773	+	0.687231i
$342$	4.61278	+	3.46457i	0.249431	+	0.187342i
$343$	9.09491	+	9.09491i	0.491079	+	0.491079i
$344$	25.9178	+	2.59992i	1.39740	+	0.140178i
$345$	1.18356	−	2.82435i	0.0637208	−	0.152058i
$346$	−9.48302	+	7.43311i	−0.509810	+	0.399606i
$347$	19.7182	−	5.28346i	1.05853	−	0.283631i	0.312755	−	0.949834i	$-0.398748\pi$
$347$	19.7182	−	5.28346i	1.05853	−	0.283631i	0.745771	+	0.666203i	$0.232081\pi$
$348$	1.14271	−	2.07695i	0.0612556	−	0.111336i
$349$	10.6734	+	18.4869i	0.571335	+	0.989581i	0.996429	+	0.0844316i	$0.0269075\pi$
$349$	10.6734	+	18.4869i	0.571335	+	0.989581i	−0.425095	+	0.905149i	$0.639759\pi$
$350$	−17.6924	−	13.5182i	−0.945701	−	0.722580i
$351$	−2.96537	+	14.8899i	−0.158280	+	0.794764i
$352$	5.43141	−	7.88879i	0.289495	−	0.420474i
$353$	21.0821	+	5.64894i	1.12209	+	0.300663i	0.771728	−	0.635952i	$-0.219392\pi$
$353$	21.0821	+	5.64894i	1.12209	+	0.300663i	0.350360	+	0.936615i	$0.386059\pi$
$354$	−6.37919	−	2.56564i	−0.339050	−	0.136362i
$355$	9.96698	+	4.17672i	0.528992	+	0.221677i
$356$	2.75949	+	0.678762i	0.146253	+	0.0359743i
$357$	13.7438	−	3.68263i	0.727398	−	0.194906i
$358$	15.0837	+	11.3290i	0.797198	+	0.598759i
$359$			21.9019i			1.15594i	0.816059	+	0.577969i	$0.196154\pi$
$359$			21.9019i			1.15594i	−0.816059	+	0.577969i	$0.803846\pi$
$360$	−10.9690	−	10.3964i	−0.578119	−	0.547940i
$361$	−8.04290	−	13.9307i	−0.423311	−	0.733195i
$362$	24.6605	−	10.5138i	1.29613	−	0.552591i
$363$	4.49329	−	4.49329i	0.235836	−	0.235836i
$364$	−1.94656	−	22.6231i	−0.102028	−	1.18577i
$365$	−20.2647	−	15.6829i	−1.06070	−	0.820882i
$366$	1.45071	−	3.60704i	0.0758300	−	0.188543i
$367$	0.898235	−	3.35226i	0.0468875	−	0.174987i	−0.938511	−	0.345248i	$-0.887795\pi$
$367$	0.898235	−	3.35226i	0.0468875	−	0.174987i	0.985399	+	0.170262i	$0.0544613\pi$
$368$	−1.53405	+	6.84169i	−0.0799677	+	0.356648i
$369$	3.09381			0.161057
$370$	−8.16920	+	2.24314i	−0.424697	+	0.116615i
$371$	−10.4530	+	18.1051i	−0.542691	+	0.939968i
$372$	11.5702	−	7.00191i	0.599885	−	0.363032i
$373$	21.2313	−	5.68892i	1.09932	−	0.294561i	0.336831	−	0.941565i	$-0.390645\pi$
$373$	21.2313	−	5.68892i	1.09932	−	0.294561i	0.762487	+	0.647004i	$0.223978\pi$
$374$	5.16744	−	12.8483i	0.267202	−	0.664369i
$375$	−1.03287	−	8.67377i	−0.0533370	−	0.447911i
$376$	12.0260	+	26.6699i	0.620195	+	1.37540i
$377$	−4.90526	−	2.42042i	−0.252634	−	0.124658i
$378$	2.25581	−	18.6152i	0.116026	−	0.957464i
$379$	28.7721	−	16.6116i	1.47792	−	0.853279i	0.478233	−	0.878233i	$-0.341277\pi$
$379$	28.7721	−	16.6116i	1.47792	−	0.853279i	0.999689	+	0.0249543i	$0.00794401\pi$
$380$	−3.03744	−	7.00413i	−0.155818	−	0.359305i
$381$	−2.28071	+	3.95030i	−0.116844	+	0.202380i
$382$	−18.9065	−	2.29110i	−0.967340	−	0.117223i
$383$	−27.0424	+	7.24598i	−1.38180	+	0.370252i	−0.871775	−	0.489907i	$-0.837031\pi$
$383$	−27.0424	+	7.24598i	−1.38180	+	0.370252i	−0.510026	+	0.860159i	$0.670364\pi$
$384$	−7.38229	−	4.86149i	−0.376726	−	0.248087i
$385$	−9.42783	−	7.29623i	−0.480487	−	0.371850i
$386$	−6.38880	+	0.908184i	−0.325181	+	0.0462253i
$387$	5.69571	−	21.2567i	0.289529	−	1.08054i
$388$	−3.76181	+	6.83736i	−0.190977	+	0.347114i
$389$			5.22428i			0.264882i	0.991191	+	0.132441i	$0.0422814\pi$
$389$			5.22428i			0.264882i	−0.991191	+	0.132441i	$0.957719\pi$
$390$	5.83353	−	6.73224i	0.295392	−	0.340900i
$391$			10.1380i			0.512703i
$392$	1.32850	+	8.13797i	0.0670995	+	0.411030i
$393$	0.304831	−	1.13765i	0.0153767	−	0.0573867i
$394$	−1.98659	−	13.9751i	−0.100083	−	0.704053i
$395$	−2.62424	−	20.5892i	−0.132040	−	1.03595i
$396$	−5.83844	−	5.60257i	−0.293393	−	0.281540i
$397$	24.3214	−	6.51689i	1.22065	−	0.327073i	0.409720	−	0.912211i	$-0.365626\pi$
$397$	24.3214	−	6.51689i	1.22065	−	0.327073i	0.810934	+	0.585138i	$0.198960\pi$
$398$	−3.18246	+	26.2620i	−0.159522	+	1.31640i
$399$	2.09987	−	3.63708i	0.105125	−	0.182082i
$400$	5.81047	+	19.1374i	0.290524	+	0.956868i
$401$	30.6071	−	17.6710i	1.52845	−	0.882449i	0.529018	−	0.848610i	$-0.322560\pi$
$401$	30.6071	−	17.6710i	1.52845	−	0.882449i	0.999427	−	0.0338383i	$-0.0107731\pi$
$402$	15.8277	+	1.91802i	0.789415	+	0.0956620i
$403$	−17.3309	−	25.9505i	−0.863314	−	1.29269i
$404$	7.01937	+	1.72658i	0.349227	+	0.0859007i
$405$	−6.90290	+	5.25167i	−0.343008	+	0.260958i
$406$	6.26787	+	2.52087i	0.311069	+	0.125109i
$407$	−4.38123	+	1.17395i	−0.217170	+	0.0581904i
$408$	−11.9534	−	4.52358i	−0.591781	−	0.223951i
$409$	14.9070	−	25.8196i	0.737103	−	1.27670i	−0.216692	−	0.976240i	$-0.569527\pi$
$409$	14.9070	−	25.8196i	0.737103	−	1.27670i	0.953795	−	0.300459i	$-0.0971399\pi$
$410$	−3.55828	−	2.02515i	−0.175731	−	0.100015i
$411$	−14.9575			−0.737799
$412$	−0.312348	−	15.1505i	−0.0153883	−	0.746410i
$413$	5.07162	−	18.9275i	0.249558	−	0.931364i
$414$	5.49586	+	2.21038i	0.270107	+	0.108634i
$415$	13.7728	−	17.7966i	0.676082	−	0.873600i
$416$	−10.4469	+	17.5175i	−0.512202	+	0.858865i
$417$	7.55361	−	7.55361i	0.369902	−	0.369902i
$418$	−1.60308	−	3.76008i	−0.0784090	−	0.183911i
$419$	5.24342	+	9.08187i	0.256158	+	0.443679i	0.965209	−	0.261478i	$-0.0842099\pi$
$419$	5.24342	+	9.08187i	0.256158	+	0.443679i	−0.709051	+	0.705157i	$0.750877\pi$
$420$	−6.55288	+	8.83784i	−0.319748	+	0.431242i
$421$		−	15.1565i		−	0.738683i	−0.929294	−	0.369341i	$-0.879583\pi$
$421$		−	15.1565i		−	0.738683i	0.929294	−	0.369341i	$-0.120417\pi$
$422$	−18.8321	+	25.0733i	−0.916730	+	1.22055i
$423$	23.8746	−	6.39718i	1.16082	−	0.311042i
$424$	17.1186	−	7.71915i	0.831355	−	0.374875i
$425$	14.2519	+	25.1623i	0.691318	+	1.22055i
$426$	1.99254	−	4.95425i	0.0965391	−	0.240034i
$427$	10.7024	+	2.86769i	0.517924	+	0.138777i
$428$	19.9398	+	32.9491i	0.963828	+	1.59266i
$429$	3.14556	−	3.58515i	0.151869	−	0.173093i
$430$	−20.4650	+	20.7196i	−0.986911	+	0.999187i
$431$	−2.55968	−	4.43350i	−0.123295	−	0.213554i	0.797770	−	0.602962i	$-0.206013\pi$
$431$	−2.55968	−	4.43350i	−0.123295	−	0.213554i	−0.921065	+	0.389408i	$0.872680\pi$
$432$	−11.4090	+	12.3907i	−0.548915	+	0.596150i
$433$	−18.2830	+	4.89892i	−0.878625	+	0.235427i	−0.669814	−	0.742529i	$-0.733626\pi$
$433$	−18.2830	+	4.89892i	−0.878625	+	0.235427i	−0.208811	+	0.977956i	$0.566959\pi$
$434$	23.7765	+	30.3336i	1.14131	+	1.45606i
$435$	1.00414	+	2.45278i	0.0481447	+	0.117602i
$436$	18.1278	−	18.8910i	0.868164	−	0.904714i
$437$	2.11592	+	2.11592i	0.101218	+	0.101218i
$438$	−7.60406	+	10.1242i	−0.363336	+	0.483752i
$439$	−8.96000	−	15.5192i	−0.427637	−	0.740690i	0.569025	−	0.822320i	$-0.307321\pi$
$439$	−8.96000	−	15.5192i	−0.427637	−	0.740690i	−0.996663	+	0.0816304i	$0.973987\pi$
$440$	3.04761	+	10.2654i	0.145289	+	0.489384i
$441$	6.96636			0.331732
$442$	−9.19767	+	28.0198i	−0.437488	+	1.33277i
$443$	9.03180	−	9.03180i	0.429114	−	0.429114i	−0.459213	−	0.888326i	$-0.651868\pi$
$443$	9.03180	−	9.03180i	0.429114	−	0.429114i	0.888326	+	0.459213i	$0.151868\pi$
$444$	1.16654	+	4.02022i	0.0553616	+	0.190791i
$445$	−2.52857	+	1.92372i	−0.119866	+	0.0911930i
$446$	4.69366	+	33.0185i	0.222251	+	1.56347i
$447$	9.00492	−	9.00492i	0.425918	−	0.425918i
$448$	11.2231	−	22.5526i	0.530242	−	1.06551i
$449$	−13.7192	+	23.7623i	−0.647448	+	1.12141i	0.336283	+	0.941761i	$0.390830\pi$
$449$	−13.7192	+	23.7623i	−0.647448	+	1.12141i	−0.983730	+	0.179651i	$0.942503\pi$
$450$	16.7478	−	2.23991i	0.789501	−	0.105590i
$451$	−1.89841	−	1.09605i	−0.0893925	−	0.0516108i
$452$	4.39857	−	7.99471i	0.206891	−	0.376040i
$453$	10.0156	+	2.68367i	0.470574	+	0.126090i
$454$	−22.5429	−	28.7598i	−1.05799	−	1.34976i
$455$	21.0468	+	14.1961i	0.986687	+	0.665521i
$456$	−3.43892	+	1.55068i	−0.161042	+	0.0726173i
$457$	−3.16969	+	11.8295i	−0.148272	+	0.553359i	0.851316	+	0.524653i	$0.175805\pi$
$457$	−3.16969	+	11.8295i	−0.148272	+	0.553359i	−0.999588	+	0.0287053i	$0.990862\pi$
$458$	0.186887	−	0.0796775i	0.00873265	−	0.00372308i
$459$	−12.1769	+	21.0909i	−0.568367	+	0.984441i
$460$	−4.87407	−	6.13971i	−0.227255	−	0.286265i
$461$	−14.7686	−	8.52663i	−0.687840	−	0.397125i	0.114962	−	0.993370i	$-0.463325\pi$
$461$	−14.7686	−	8.52663i	−0.687840	−	0.397125i	−0.802803	+	0.596245i	$0.796659\pi$
$462$	−3.53767	+	4.71011i	−0.164587	+	0.219134i
$463$	−14.8781	−	14.8781i	−0.691442	−	0.691442i	0.271107	−	0.962549i	$-0.412610\pi$
$463$	−14.8781	−	14.8781i	−0.691442	−	0.691442i	−0.962549	+	0.271107i	$0.912610\pi$
$464$	−3.24819	−	5.12581i	−0.150793	−	0.237960i
$465$	−2.03541	+	14.9825i	−0.0943901	+	0.694798i
$466$	−17.6395	−	7.09442i	−0.817135	−	0.328643i
$467$	−2.73760	−	2.73760i	−0.126681	−	0.126681i	0.640924	−	0.767605i	$-0.278552\pi$
$467$	−2.73760	−	2.73760i	−0.126681	−	0.126681i	−0.767605	+	0.640924i	$0.778552\pi$
$468$	13.1843	+	11.0952i	0.609443	+	0.512875i
$469$			45.4372i			2.09809i
$470$	−31.6463	−	8.27031i	−1.45974	−	0.381481i
$471$	13.2114	−	7.62763i	0.608751	−	0.351463i
$472$	−13.6261	+	11.1415i	−0.627190	+	0.512830i
$473$	−11.0256	+	11.0256i	−0.506957	+	0.506957i
$474$	−10.1539	+	1.44341i	−0.466386	+	0.0662979i
$475$	8.22616	+	2.27711i	0.377442	+	0.104481i
$476$	8.69992	−	35.3693i	0.398760	−	1.62115i
$477$	−4.10616	−	15.3244i	−0.188008	−	0.701657i
$478$	3.00818	+	7.05580i	0.137591	+	0.322725i
$479$	28.6298	−	16.5294i	1.30813	−	0.755249i	0.326346	−	0.945251i	$-0.394183\pi$
$479$	28.6298	−	16.5294i	1.30813	−	0.755249i	0.981784	+	0.190002i	$0.0608493\pi$
$480$	9.41390	−	3.00730i	0.429684	−	0.137264i
$481$	9.14719	−	3.10269i	0.417076	−	0.141471i
$482$	−2.37003	−	0.287202i	−0.107952	−	0.0130817i
$483$	1.11613	−	4.16545i	0.0507856	−	0.189534i
$484$	−4.53310	−	15.6223i	−0.206050	−	0.710104i
$485$	−3.30563	−	8.07457i	−0.150101	−	0.366648i
$486$	13.6650	+	17.4335i	0.619856	+	0.790800i
$487$	3.56225	+	13.2945i	0.161421	+	0.602431i	0.998470	+	0.0553028i	$0.0176124\pi$
$487$	3.56225	+	13.2945i	0.161421	+	0.602431i	−0.837049	+	0.547128i	$0.815721\pi$
$488$	−6.29984	−	7.70469i	−0.285181	−	0.348775i
$489$	9.23306			0.417534
$490$	−8.01220	−	4.56005i	−0.361954	−	0.206002i
$491$	−1.20988	+	0.698526i	−0.0546012	+	0.0315240i	−0.527052	−	0.849833i	$-0.676703\pi$
$491$	−1.20988	+	0.698526i	−0.0546012	+	0.0315240i	0.472451	+	0.881357i	$0.343369\pi$
$492$	−0.975207	+	1.77251i	−0.0439657	+	0.0799108i
$493$	−6.20431	−	6.20431i	−0.279428	−	0.279428i
$494$	3.92838	+	7.76769i	0.176746	+	0.349485i
$495$	8.97424	−	1.14383i	0.403362	−	0.0514114i
$496$	−1.42685	−	34.5901i	−0.0640676	−	1.55314i
$497$	14.6996	+	3.93875i	0.659368	+	0.176677i
$498$	−8.89111	−	6.67793i	−0.398420	−	0.299245i
$499$			14.5051i			0.649336i	0.945828	+	0.324668i	$0.105253\pi$
$499$			14.5051i			0.649336i	−0.945828	+	0.324668i	$0.894747\pi$
$500$	−20.7283	−	8.38665i	−0.927000	−	0.375062i
$501$	−5.38279	−	3.10775i	−0.240485	−	0.138844i
$502$	−11.8766	−	1.43922i	−0.530078	−	0.0642353i
$503$	−1.09005	−	4.06814i	−0.0486031	−	0.181389i	0.937357	−	0.348370i	$-0.113265\pi$
$503$	−1.09005	−	4.06814i	−0.0486031	−	0.181389i	−0.985960	+	0.166981i	$0.946598\pi$
$504$	−17.2770	−	12.4277i	−0.769577	−	0.553576i
$505$	−6.43198	+	4.89340i	−0.286220	+	0.217754i
$506$	−2.58927	−	3.30334i	−0.115107	−	0.146851i
$507$	−6.18675	+	8.05500i	−0.274763	+	0.357735i
$508$	6.04554	+	9.98981i	0.268227	+	0.443226i
$509$	15.2703	+	26.4489i	0.676844	+	1.17233i	0.975926	+	0.218101i	$0.0699861\pi$
$509$	15.2703	+	26.4489i	0.676844	+	1.17233i	−0.299082	+	0.954227i	$0.596681\pi$
$510$	12.3305	−	7.22098i	0.546002	−	0.319750i
$511$	−31.2502	−	18.0423i	−1.38243	−	0.798145i
$512$	−20.0131	+	10.5583i	−0.884461	+	0.466615i
$513$	1.86047	+	6.94336i	0.0821416	+	0.306557i
$514$	−23.9488	+	3.40439i	−1.05634	+	0.150161i
$515$	13.3986	+	10.3692i	0.590412	+	0.456922i
$516$	10.3830	+	9.96355i	0.457087	+	0.438621i
$517$	−16.9161	−	4.53266i	−0.743970	−	0.199346i
$518$	−10.9740	+	4.67868i	−0.482171	+	0.205569i
$519$	−6.65651			−0.292188
$520$	−7.90087	−	21.3910i	−0.346476	−	0.938059i
$521$	−4.04849			−0.177368			−0.0886838	−	0.996060i	$-0.528266\pi$
$521$	−4.04849			−0.177368			−0.0886838	+	0.996060i	$0.528266\pi$
$522$	−4.71609	+	2.01066i	−0.206418	+	0.0880043i
$523$	−33.4902	−	8.97367i	−1.46442	−	0.392391i	−0.563409	−	0.826178i	$-0.690510\pi$
$523$	−33.4902	−	8.97367i	−1.46442	−	0.392391i	−0.901016	+	0.433787i	$0.857177\pi$
$524$	−2.17540	−	2.08751i	−0.0950326	−	0.0911933i
$525$	−3.08552	−	11.9075i	−0.134663	−	0.519687i
$526$	4.29085	−	0.609955i	0.187090	−	0.0265953i
$527$	−12.9556	−	48.3509i	−0.564354	−	2.10620i
$528$	5.05017	−	1.57896i	0.219781	−	0.0687155i
$529$	−17.2576	−	9.96369i	−0.750331	−	0.433204i
$530$	−5.30847	+	20.3128i	−0.230585	+	0.882333i
$531$	7.43518	+	12.8781i	0.322659	+	0.558862i
$532$	−5.56619	−	9.19772i	−0.241325	−	0.398772i
$533$	4.18623	+	2.06563i	0.181326	+	0.0894722i
$534$	0.968498	+	1.23559i	0.0419110	+	0.0534693i
$535$	−42.6668	−	5.79639i	−1.84465	−	0.250600i
$536$	23.8328	−	33.1321i	1.02942	−	1.43109i
$537$	2.69733	+	10.0666i	0.116398	+	0.434405i
$538$	−10.7977	−	1.30848i	−0.465523	−	0.0564125i
$539$	−4.27466	−	2.46797i	−0.184123	−	0.106303i
$540$	−2.76546	−	18.6272i	−0.119006	−	0.801586i
$541$			27.0286i			1.16205i	0.813886	+	0.581024i	$0.197348\pi$
$541$			27.0286i			1.16205i	−0.813886	+	0.581024i	$0.802652\pi$
$542$	5.69271	+	4.27568i	0.244523	+	0.183656i
$543$	14.3056	+	3.83317i	0.613912	+	0.164497i
$544$	−24.8958	+	21.2275i	−1.06740	+	0.910120i
$545$	3.70100	+	29.0372i	0.158533	+	1.24382i
$546$	6.86386	−	10.5000i	0.293746	−	0.449357i
$547$	−7.43836	−	7.43836i	−0.318041	−	0.318041i	0.529973	−	0.848014i	$-0.322202\pi$
$547$	−7.43836	−	7.43836i	−0.318041	−	0.318041i	−0.848014	+	0.529973i	$0.822202\pi$
$548$	−18.4572	+	33.5472i	−0.788451	+	1.43306i
$549$	−7.28178	+	4.20414i	−0.310779	+	0.179428i
$550$	−11.0702	−	4.55882i	−0.472037	−	0.194389i
$551$	−2.58982			−0.110330
$552$	−2.99873	+	2.45195i	−0.127634	+	0.104362i
$553$	−7.56489	−	28.2325i	−0.321692	−	1.20057i
$554$	−8.21338	−	10.4785i	−0.348953	−	0.445188i
$555$	−4.31646	−	1.80884i	−0.183224	−	0.0767810i
$556$	−7.62053	−	26.2624i	−0.323182	−	1.11378i
$557$	−2.93335	+	10.9474i	−0.124290	+	0.463857i	−0.999813	−	0.0193188i	$-0.993850\pi$
$557$	−2.93335	+	10.9474i	−0.124290	+	0.463857i	0.875523	+	0.483176i	$0.160517\pi$
$558$	−29.0358	−	3.51859i	−1.22918	−	0.148954i
$559$	21.8992	−	24.9596i	0.926236	−	1.05568i
$560$	11.7357	+	25.6027i	0.495925	+	1.08191i
$561$	6.62565	−	3.82532i	0.279735	−	0.161505i
$562$	−9.13899	−	21.4359i	−0.385505	−	0.904218i
$563$	−1.63124	−	6.08786i	−0.0687485	−	0.256573i	0.922995	−	0.384813i	$-0.125734\pi$
$563$	−1.63124	−	6.08786i	−0.0687485	−	0.256573i	−0.991743	+	0.128240i	$0.959067\pi$
$564$	−3.86049	+	15.6947i	−0.162556	+	0.660866i
$565$	3.86517	+	9.44135i	0.162609	+	0.397200i
$566$	10.7379	−	1.52642i	0.451346	−	0.0641600i
$567$	−8.63672	+	8.63672i	−0.362708	+	0.362708i
$568$	−8.65280	−	10.5824i	−0.363063	−	0.444026i
$569$	34.6883	−	20.0273i	1.45421	−	0.839587i	0.455491	−	0.890240i	$-0.349464\pi$
$569$	34.6883	−	20.0273i	1.45421	−	0.839587i	0.998716	+	0.0506534i	$0.0161304\pi$
$570$	1.06641	−	4.08060i	0.0446668	−	0.170917i
$571$			19.2559i			0.805835i	0.915236	+	0.402918i	$0.132004\pi$
$571$			19.2559i			0.805835i	−0.915236	+	0.402918i	$0.867996\pi$
$572$	−4.15935	−	11.4789i	−0.173911	−	0.479959i
$573$	−7.43972	−	7.43972i	−0.310799	−	0.310799i
$574$	−5.34910	−	2.15135i	−0.223267	−	0.0897957i
$575$	8.76416	+	0.0723260i	0.365491	+	0.00301620i
$576$	6.07949	+	18.1243i	0.253312	+	0.755178i
$577$	20.0863	+	20.0863i	0.836202	+	0.836202i	0.988357	−	0.152154i	$-0.0486211\pi$
$577$	20.0863	+	20.0863i	0.836202	+	0.836202i	−0.152154	+	0.988357i	$0.548621\pi$
$578$	−13.9713	+	18.6016i	−0.581130	+	0.773726i
$579$	−3.08737	−	1.78250i	−0.128307	−	0.0740780i
$580$	6.74025	+	0.774550i	0.279873	+	0.0321614i
$581$	15.8449	−	27.4441i	0.657356	−	1.13857i
$582$	−3.96589	+	1.69082i	−0.164391	+	0.0700868i
$583$	−2.90938	+	10.8580i	−0.120494	+	0.449691i
$584$	13.3236	+	29.5476i	0.551336	+	1.22269i
$585$	−18.9115	+	3.67614i	−0.781895	+	0.151989i
$586$	14.7830	+	18.8599i	0.610681	+	0.779095i
$587$	−15.8873	−	4.25698i	−0.655738	−	0.175705i	−0.0844163	−	0.996431i	$-0.526903\pi$
$587$	−15.8873	−	4.25698i	−0.655738	−	0.175705i	−0.571322	+	0.820726i	$0.693569\pi$
$588$	−2.19588	+	3.99117i	−0.0905566	+	0.164593i
$589$	−12.7953	−	7.38738i	−0.527222	−	0.304392i
$590$	−0.121626	−	19.6784i	−0.00500725	−	0.810146i
$591$	3.89909	−	6.75342i	0.160387	−	0.277799i
$592$	10.4562	+	2.34449i	0.429746	+	0.0963579i
$593$	8.97210	−	8.97210i	0.368440	−	0.368440i	−0.498468	−	0.866908i	$-0.666104\pi$
$593$	8.97210	−	8.97210i	0.368440	−	0.368440i	0.866908	+	0.498468i	$0.166104\pi$
$594$	−1.41899	−	9.98217i	−0.0582219	−	0.409574i
$595$	24.6569	+	32.4095i	1.01084	+	1.32866i
$596$	−9.08470	−	31.3083i	−0.372124	−	1.28244i
$597$	−10.3341	+	10.3341i	−0.422948	+	0.422948i
$598$	5.96065	+	6.66025i	0.243749	+	0.272358i
$599$	−6.53440			−0.266988			−0.133494	−	0.991050i	$-0.542620\pi$
$599$	−6.53440			−0.266988			−0.133494	+	0.991050i	$0.542620\pi$
$600$	−3.99583	+	10.3012i	−0.163129	+	0.420545i
$601$	−9.84509	−	17.0522i	−0.401590	−	0.695574i	0.592328	−	0.805697i	$-0.298209\pi$
$601$	−9.84509	−	17.0522i	−0.401590	−	0.695574i	−0.993918	+	0.110123i	$0.964876\pi$
$602$	−24.6290	+	32.7915i	−1.00380	+	1.33648i
$603$	−24.3819	−	24.3819i	−0.992907	−	0.992907i
$604$	18.3780	−	19.1517i	0.747791	−	0.779273i
$605$	16.7735	+	7.02902i	0.681938	+	0.285770i
$606$	2.46359	+	3.14300i	0.100076	+	0.127676i
$607$	−1.40422	+	0.376259i	−0.0569954	+	0.0152719i	−0.287204	−	0.957869i	$-0.592726\pi$
$607$	−1.40422	+	0.376259i	−0.0569954	+	0.0152719i	0.230209	+	0.973141i	$0.426059\pi$
$608$	−0.765619	+	9.62643i	−0.0310500	+	0.390403i
$609$	1.86613	+	3.23224i	0.0756195	+	0.130977i
$610$	11.1269	−	0.0687719i	0.450516	−	0.00278449i
$611$	36.5759	+	7.28420i	1.47970	+	0.294687i
$612$	14.3109	+	23.6478i	0.578486	+	0.955906i
$613$	−10.0891	−	2.70337i	−0.407496	−	0.109188i	0.0492476	−	0.998787i	$-0.484318\pi$
$613$	−10.0891	−	2.70337i	−0.407496	−	0.109188i	−0.456744	+	0.889598i	$0.650984\pi$
$614$	−6.69851	+	16.6551i	−0.270330	+	0.672146i
$615$	−0.856947	−	2.09324i	−0.0345554	−	0.0844076i
$616$	6.19860	+	13.7466i	0.249749	+	0.553864i
$617$	7.95408	−	2.13129i	0.320219	−	0.0858025i	−0.0951291	−	0.995465i	$-0.530326\pi$
$617$	7.95408	−	2.13129i	0.320219	−	0.0858025i	0.415348	+	0.909662i	$0.363660\pi$
$618$	5.02764	−	6.69389i	0.202241	−	0.269268i
$619$		−	2.83419i		−	0.113916i	−0.998377	−	0.0569578i	$-0.981860\pi$
$619$		−	2.83419i		−	0.113916i	0.998377	−	0.0569578i	$-0.0181401\pi$
$620$	31.0917	+	23.0531i	1.24867	+	0.925836i
$621$	3.69055	+	6.39222i	0.148097	+	0.256511i
$622$	−2.86779	−	6.72651i	−0.114988	−	0.269708i
$623$	−3.16368	+	3.16368i	−0.126750	+	0.126750i
$624$	−10.5125	+	4.05619i	−0.420836	+	0.162378i
$625$	21.8540	−	12.1410i	0.874159	−	0.485639i
$626$	−22.4493	−	9.02889i	−0.897256	−	0.360867i
$627$	0.584459	−	2.18123i	0.0233411	−	0.0871100i
$628$	−0.804933	−	39.0433i	−0.0321203	−	1.55800i
$629$	15.4940			0.617786
$630$	22.9452	−	6.30040i	0.914159	−	0.251014i
$631$	−8.56140	+	14.8288i	−0.340824	+	0.590324i	−0.984586	−	0.174901i	$-0.944039\pi$
$631$	−8.56140	+	14.8288i	−0.340824	+	0.590324i	0.643762	+	0.765226i	$0.277373\pi$
$632$	−9.29236	+	24.5547i	−0.369630	+	0.976734i
$633$	−16.7335	+	4.48372i	−0.665096	+	0.178212i
$634$	10.4889	+	4.21851i	0.416566	+	0.167538i
$635$	−12.9361	−	1.75740i	−0.513353	−	0.0697403i
$636$	10.0740	+	2.47794i	0.399459	+	0.0982565i
$637$	9.42617	+	4.65119i	0.373478	+	0.184287i
$638$	3.60618	+	0.437000i	0.142770	+	0.0173010i
$639$	−10.0015	+	5.77435i	−0.395652	+	0.228430i
$640$	4.87162	−	24.8247i	0.192568	−	0.981284i
$641$	8.48826	−	14.7021i	0.335266	−	0.580698i	−0.648270	−	0.761411i	$-0.724507\pi$
$641$	8.48826	−	14.7021i	0.335266	−	0.580698i	0.983536	+	0.180713i	$0.0578405\pi$
$642$	−2.55959	+	21.1220i	−0.101019	+	0.833620i
$643$	−34.9369	+	9.36132i	−1.37778	+	0.369174i	−0.870313	−	0.492498i	$-0.836084\pi$
$643$	−34.9369	+	9.36132i	−1.37778	+	0.369174i	−0.507464	+	0.861673i	$0.669417\pi$
$644$	−7.96513	−	7.64334i	−0.313870	−	0.301190i
$645$	−15.9597	+	2.03417i	−0.628412	+	0.0800955i
$646$	1.96510	+	13.8239i	0.0773157	+	0.543893i
$647$	6.81778	−	25.4443i	0.268035	−	1.00032i	−0.692332	−	0.721579i	$-0.743417\pi$
$647$	6.81778	−	25.4443i	0.268035	−	1.00032i	0.960367	−	0.278740i	$-0.0899167\pi$
$648$	10.8279	−	1.76763i	0.425361	−	0.0694390i
$649$		−	10.5362i		−	0.413584i
$650$	24.1570	+	8.15111i	0.947514	+	0.319713i
$651$			21.2924i			0.834514i
$652$	11.3934	−	20.7082i	0.446198	−	0.810996i
$653$	−3.16533	+	11.8132i	−0.123869	+	0.462285i	−0.999797	−	0.0201568i	$-0.993583\pi$
$653$	−3.16533	+	11.8132i	−0.123869	+	0.462285i	0.875928	+	0.482442i	$0.160250\pi$
$654$	14.3202	−	2.03566i	0.559966	−	0.0796006i
$655$	3.34379	−	0.426190i	0.130653	−	0.0166526i
$656$	2.77206	+	4.37445i	0.108231	+	0.170794i
$657$	26.4507	−	7.08744i	1.03194	−	0.276507i
$658$	−45.7268	−	5.54122i	−1.78262	−	0.216019i
$659$	−5.23202	+	9.06212i	−0.203811	+	0.353010i	−0.949753	−	0.313000i	$-0.898666\pi$
$659$	−5.23202	+	9.06212i	−0.203811	+	0.353010i	0.745943	+	0.666010i	$0.231999\pi$
$660$	−2.17346	+	5.50207i	−0.0846020	+	0.214168i
$661$	−15.8313	+	9.14020i	−0.615766	+	0.355512i	−0.775219	−	0.631693i	$-0.782360\pi$
$661$	−15.8313	+	9.14020i	−0.615766	+	0.355512i	0.159453	+	0.987206i	$0.449027\pi$
$662$	2.79705	−	23.0816i	0.108710	−	0.897090i
$663$	−13.5486	+	9.04836i	−0.526185	+	0.351409i
$664$	−25.9489	+	11.7009i	−1.00701	+	0.454082i
$665$	11.9104	+	1.61806i	0.461865	+	0.0627455i
$666$	3.37813	−	8.39934i	0.130900	−	0.325468i
$667$	−2.56867	+	0.688273i	−0.0994592	+	0.0266500i
$668$	−13.6124	+	8.23781i	−0.526679	+	0.318730i
$669$	−9.21227	+	15.9561i	−0.356167	+	0.616899i
$670$	12.0823	+	44.0022i	0.466781	+	1.69995i
$671$	5.95760			0.229991
$672$	12.5660	−	5.98094i	0.484744	−	0.230720i
$673$	−2.60915	+	9.73748i	−0.100575	+	0.375352i	−0.997806	−	0.0662106i	$-0.978909\pi$
$673$	−2.60915	+	9.73748i	−0.100575	+	0.375352i	0.897230	+	0.441563i	$0.145576\pi$
$674$	−1.15156	+	2.86323i	−0.0443564	+	0.110287i
$675$	18.1459	+	10.6771i	0.698435	+	0.410963i
$676$	10.4317	+	23.8155i	0.401221	+	0.915981i
$677$	24.0253	−	24.0253i	0.923368	−	0.923368i	−0.0738979	−	0.997266i	$-0.523544\pi$
$677$	24.0253	−	24.0253i	0.923368	−	0.923368i	0.997266	+	0.0738979i	$0.0235439\pi$
$678$	4.63719	−	1.97702i	0.178090	−	0.0759272i
$679$	−6.14333	−	10.6406i	−0.235760	−	0.408348i
$680$	−0.979978	−	36.5657i	−0.0375804	−	1.40223i
$681$		−	20.1876i		−	0.773592i
$682$	16.5703	+	12.4456i	0.634508	+	0.476566i
$683$	19.3626	−	5.18818i	0.740888	−	0.198520i	0.131415	−	0.991327i	$-0.458048\pi$
$683$	19.3626	−	5.18818i	0.740888	−	0.198520i	0.609473	+	0.792807i	$0.291381\pi$
$684$	7.92241	+	1.94871i	0.302921	+	0.0745106i
$685$	−16.2189	−	39.6175i	−0.619693	−	1.51371i
$686$	16.8761	+	6.78737i	0.644331	+	0.259143i
$687$	0.108414	+	0.0290493i	0.00413623	+	0.00110830i
$688$	35.1589	−	10.9926i	1.34042	−	0.419090i
$689$	4.67551	−	23.4770i	0.178123	−	0.894401i
$690$	−0.0267666	−	4.33069i	−0.00101899	−	0.164866i
$691$	−9.17627	−	15.8938i	−0.349082	−	0.604627i	0.637005	−	0.770860i	$-0.280173\pi$
$691$	−9.17627	−	15.8938i	−0.349082	−	0.604627i	−0.986087	+	0.166232i	$0.946840\pi$
$692$	−8.21396	+	14.9294i	−0.312248	+	0.567532i
$693$	12.3058	−	3.29732i	0.467457	−	0.125255i
$694$	22.7213	−	17.8097i	0.862487	−	0.676046i
$695$	28.1977	+	11.8164i	1.06960	+	0.448221i
$696$	0.334620	−	3.33573i	0.0126837	−	0.126440i
$697$	5.29486	+	5.29486i	0.200557	+	0.200557i
$698$	24.1387	+	18.1301i	0.913662	+	0.686233i
$699$	−5.25181	−	9.09641i	−0.198642	−	0.344058i
$700$	−30.5140	−	7.77325i	−1.15332	−	0.293801i
$701$	−52.3785			−1.97831			−0.989154	−	0.146880i	$-0.953077\pi$
$701$	−52.3785			−1.97831			−0.989154	+	0.146880i	$0.953077\pi$
$702$	4.40074	+	21.0152i	0.166095	+	0.793167i
$703$	3.23377	−	3.23377i	0.121964	−	0.121964i
$704$	2.69043	−	13.2751i	0.101399	−	0.500324i
$705$	−10.9412	−	14.3814i	−0.412070	−	0.541633i
$706$	30.5592	−	4.34406i	1.15011	−	0.163491i
$707$	−8.04752	+	8.04752i	−0.302658	+	0.302658i
$708$	−9.72178	+	0.200428i	−0.365367	+	0.00753255i
$709$	−4.87478	+	8.44336i	−0.183076	+	0.317097i	−0.942927	−	0.333001i	$-0.891939\pi$
$709$	−4.87478	+	8.44336i	−0.183076	+	0.317097i	0.759850	+	0.650098i	$0.225272\pi$
$710$	15.2827	−	0.0944577i	0.573551	−	0.00354494i
$711$	19.2091	+	11.0904i	0.720399	+	0.415922i
$712$	3.96633	−	0.647492i	0.148644	−	0.0242658i
$713$	−14.6541	−	3.92656i	−0.548801	−	0.147051i
$714$	15.8370	−	12.4136i	0.592684	−	0.464566i
$715$	12.9067	+	4.44406i	0.482684	+	0.166198i
$716$	25.9061	+	6.37222i	0.968155	+	0.238141i
$717$	−1.09674	+	4.09309i	−0.0409585	+	0.152859i
$718$	12.1475	+	28.4925i	0.453341	+	1.06333i
$719$	−10.5808	+	18.3266i	−0.394599	+	0.683465i	−0.993050	−	0.117694i	$-0.962450\pi$
$719$	−10.5808	+	18.3266i	−0.394599	+	0.683465i	0.598451	+	0.801159i	$0.295783\pi$
$720$	−20.0360	−	7.44109i	−0.746698	−	0.277313i
$721$	20.6620	+	11.9292i	0.769492	+	0.444266i
$722$	−18.1896	−	13.6618i	−0.676946	−	0.508440i
$723$	−0.932609	−	0.932609i	−0.0346841	−	0.0346841i
$724$	26.2499	−	27.3550i	0.975570	−	1.01664i
$725$	−5.40778	+	5.31925i	−0.200840	+	0.197552i
$726$	3.35326	−	8.33751i	0.124451	−	0.309434i
$727$	19.9764	+	19.9764i	0.740883	+	0.740883i	0.972748	−	0.231865i	$-0.0744827\pi$
$727$	19.9764	+	19.9764i	0.740883	+	0.740883i	−0.231865	+	0.972748i	$0.574483\pi$
$728$	−15.0799	−	28.3512i	−0.558897	−	1.05076i
$729$			0.600519i			0.0222414i
$730$	−35.0610	−	9.16268i	−1.29766	−	0.339126i
$731$	46.1273	−	26.6316i	1.70608	−	0.985006i
$732$	−0.113330	−	5.49707i	−0.00418879	−	0.203177i
$733$	−12.8558	+	12.8558i	−0.474838	+	0.474838i	−0.903476	−	0.428638i	$-0.858994\pi$
$733$	−12.8558	+	12.8558i	−0.474838	+	0.474838i	0.428638	+	0.903476i	$0.358994\pi$
$734$	−0.690747	−	4.85920i	−0.0254959	−	0.179356i
$735$	−1.92959	−	4.71336i	−0.0711741	−	0.173855i
$736$	1.79896	+	9.75130i	0.0663107	+	0.359438i
$737$	6.32329	+	23.5988i	0.232921	+	0.869274i
$738$	4.02479	−	1.71593i	0.148155	−	0.0631643i
$739$	2.85108	−	1.64607i	0.104879	−	0.0605518i	−0.446643	−	0.894712i	$-0.647381\pi$
$739$	2.85108	−	1.64607i	0.104879	−	0.0605518i	0.551522	+	0.834160i	$0.314047\pi$
$740$	−9.38333	+	7.44905i	−0.344938	+	0.273832i
$741$	−0.939253	+	4.71623i	−0.0345043	+	0.173255i
$742$	−3.55675	+	29.3507i	−0.130572	+	1.07750i
$743$	0.808647	−	3.01791i	0.0296664	−	0.110716i	−0.949505	−	0.313752i	$-0.898414\pi$
$743$	0.808647	−	3.01791i	0.0296664	−	0.110716i	0.979171	+	0.203035i	$0.0650807\pi$
$744$	11.1683	−	15.5261i	0.409450	−	0.569214i
$745$	33.6154	+	14.0867i	1.23157	+	0.516098i
$746$	24.4649	−	19.1764i	0.895725	−	0.702099i
$747$	6.22423	+	23.2291i	0.227733	+	0.849910i
$748$	−0.403681	−	19.5806i	−0.0147600	−	0.715937i
$749$	−60.6358			−2.21558
$750$	−6.15444	−	10.7110i	−0.224728	−	0.391110i
$751$	2.04172	−	1.17878i	0.0745032	−	0.0430145i	−0.462286	−	0.886731i	$-0.652971\pi$
$751$	2.04172	−	1.17878i	0.0745032	−	0.0430145i	0.536789	+	0.843717i	$0.319637\pi$
$752$	30.4369	+	28.0253i	1.10992	+	1.02198i
$753$	−4.67345	−	4.67345i	−0.170310	−	0.170310i
$754$	−7.72378	−	0.428140i	−0.281283	−	0.0155920i
$755$	3.75209	+	29.4380i	0.136552	+	1.07136i
$756$	−7.39001	−	25.4680i	−0.268772	−	0.926262i
$757$	−6.35228	−	1.70209i	−0.230878	−	0.0618635i	0.141525	−	0.989935i	$-0.454799\pi$
$757$	−6.35228	−	1.70209i	−0.230878	−	0.0618635i	−0.372403	+	0.928071i	$0.621466\pi$
$758$	28.2167	−	37.5682i	1.02488	−	1.36454i
$759$		−	2.31875i		−	0.0841652i
$760$	−7.83619	−	7.42712i	−0.284248	−	0.269410i
$761$	−45.8866	−	26.4926i	−1.66339	−	0.960357i	−0.971080	−	0.238753i	$-0.923261\pi$
$761$	−45.8866	−	26.4926i	−1.66339	−	0.960357i	−0.692306	−	0.721604i	$-0.743405\pi$
$762$	−0.776039	+	6.40397i	−0.0281129	+	0.231991i
$763$	10.6689	+	39.8168i	0.386239	+	1.44146i
$764$	−25.8665	+	7.50563i	−0.935816	+	0.271544i
$765$	−30.6222	−	4.16011i	−1.10715	−	0.150409i
$766$	−31.1610	+	24.4250i	−1.12589	+	0.882512i
$767$	1.46228	+	22.3895i	0.0527998	+	0.808439i
$768$	−12.3001	−	2.22992i	−0.443841	−	0.0804654i
$769$	−14.4966	−	25.1089i	−0.522762	−	0.905451i	−0.999649	−	0.0264861i	$-0.991568\pi$
$769$	−14.4966	−	25.1089i	−0.522762	−	0.905451i	0.476887	−	0.878965i	$-0.341765\pi$
$770$	−16.3115	−	4.26279i	−0.587827	−	0.153620i
$771$	−11.5732	−	6.68181i	−0.416800	−	0.240639i
$772$	−7.80758	+	4.72491i	−0.281001	+	0.170053i
$773$	2.90313	+	10.8346i	0.104418	+	0.389694i	0.998279	−	0.0586513i	$-0.0186800\pi$
$773$	2.90313	+	10.8346i	0.104418	+	0.389694i	−0.893860	+	0.448346i	$0.852013\pi$
$774$	−4.38003	−	30.8122i	−0.157437	−	1.10752i
$775$	−41.8909	+	10.8549i	−1.50476	+	0.389920i
$776$	−1.10157	+	10.9813i	−0.0395442	+	0.394204i
$777$	−6.36606	−	1.70578i	−0.228381	−	0.0611946i
$778$	2.89756	+	6.79635i	0.103883	+	0.243661i
$779$	2.21019			0.0791883
$780$	3.85501	−	11.9935i	0.138031	−	0.429438i
$781$	8.18273			0.292801
$782$	5.62290	+	13.1887i	0.201074	+	0.471628i
$783$	−6.17049	−	1.65338i	−0.220515	−	0.0590869i
$784$	6.24186	+	9.84998i	0.222924	+	0.351785i
$785$	34.5287	+	26.7219i	1.23238	+	0.953744i
$786$	−0.234417	−	1.64905i	−0.00836137	−	0.0588197i
$787$	−12.2197	−	45.6045i	−0.435585	−	1.62562i	−0.739663	−	0.672977i	$-0.765015\pi$
$787$	−12.2197	−	45.6045i	−0.435585	−	1.62562i	0.304079	−	0.952647i	$-0.401651\pi$
$788$	−10.3354	−	17.0785i	−0.368184	−	0.608398i
$789$	2.07354	+	1.19716i	0.0738201	+	0.0426201i
$790$	−14.8334	−	25.3293i	−0.527747	−	0.901176i
$791$	7.18321	+	12.4417i	0.255405	+	0.442375i
$792$	−10.7027	−	4.05028i	−0.380304	−	0.143920i
$793$	−12.6599	+	0.826828i	−0.449566	+	0.0293615i
$794$	28.0256	−	21.9674i	0.994590	−	0.779593i
$795$	−9.23098	+	7.02285i	−0.327389	+	0.249075i
$796$	10.4257	+	35.9298i	0.369529	+	1.27350i
$797$	5.44521	+	20.3218i	0.192879	+	0.719835i	0.992806	+	0.119737i	$0.0382051\pi$
$797$	5.44521	+	20.3218i	0.192879	+	0.719835i	−0.799926	+	0.600098i	$0.795128\pi$
$798$	0.714507	−	5.89620i	0.0252933	−	0.208723i
$799$	51.8083	+	29.9115i	1.83284	+	1.05819i
$800$	18.1732	+	21.6734i	0.642518	+	0.766271i
$801$		−	3.39530i		−	0.119967i
$802$	30.0163	−	39.9642i	1.05991	−	1.41119i
$803$	−18.7414	−	5.02174i	−0.661369	−	0.177213i
$804$	21.6543	−	6.28340i	0.763689	−	0.221599i
$805$	12.2432	−	1.56048i	0.431515	−	0.0549996i
$806$	−36.9391	−	24.1472i	−1.30112	−	0.850548i
$807$	−4.24892	−	4.24892i	−0.149569	−	0.149569i
$808$	10.0892	−	1.64704i	0.354938	−	0.0579427i
$809$	14.4601	−	8.34856i	0.508391	−	0.293520i	−0.223781	−	0.974639i	$-0.571840\pi$
$809$	14.4601	−	8.34856i	0.508391	−	0.293520i	0.732172	+	0.681120i	$0.238507\pi$
$810$	−6.06734	+	10.6606i	−0.213185	+	0.374574i
$811$	−13.2397			−0.464909			−0.232455	−	0.972607i	$-0.574676\pi$
$811$	−13.2397			−0.464909			−0.232455	+	0.972607i	$0.574676\pi$
$812$	9.55212	−	0.196930i	0.335214	−	0.00691091i
$813$	1.01799	+	3.79921i	0.0357026	+	0.133244i
$814$	−5.04850	+	3.95718i	−0.176950	+	0.138699i
$815$	10.0117	+	24.4553i	0.350695	+	0.856633i
$816$	−18.0593	+	0.744952i	−0.632201	+	0.0260785i
$817$	4.06896	−	15.1856i	0.142355	−	0.531276i
$818$	5.07228	−	41.8571i	0.177348	−	1.46350i
$819$	−25.6921	+	8.71467i	−0.897756	+	0.304515i
$820$	−5.75224	−	0.661014i	−0.200877	−	0.0230836i
$821$	−10.6131	+	6.12745i	−0.370398	+	0.213849i	−0.673632	−	0.739067i	$-0.735267\pi$
$821$	−10.6131	+	6.12745i	−0.370398	+	0.213849i	0.303234	+	0.952916i	$0.401934\pi$
$822$	−19.4585	+	8.29593i	−0.678691	+	0.289354i
$823$	1.82886	+	6.82538i	0.0637499	+	0.237918i	0.990448	−	0.137890i	$-0.0440320\pi$
$823$	1.82886	+	6.82538i	0.0637499	+	0.237918i	−0.926698	+	0.375808i	$0.877365\pi$
$824$	−8.80930	−	19.5362i	−0.306886	−	0.680577i
$825$	−3.25965	−	5.75504i	−0.113487	−	0.200365i
$826$	−3.90010	−	27.4360i	−0.135702	−	0.954622i
$827$	−4.66045	+	4.66045i	−0.162060	+	0.162060i	−0.783478	−	0.621419i	$-0.786557\pi$
$827$	−4.66045	+	4.66045i	−0.162060	+	0.162060i	0.621419	+	0.783478i	$0.286557\pi$
$828$	8.37561	−	0.172675i	0.291072	−	0.00600087i
$829$	−20.3479	+	11.7479i	−0.706711	+	0.408020i	−0.809842	−	0.586648i	$-0.800447\pi$
$829$	−20.3479	+	11.7479i	−0.706711	+	0.408020i	0.103131	+	0.994668i	$0.467114\pi$
$830$	8.04671	−	30.7907i	0.279306	−	1.06876i
$831$		−	7.35527i		−	0.255151i
$832$	−3.87477	+	28.5830i	−0.134333	+	0.990936i
$833$	11.9225	+	11.9225i	0.413090	+	0.413090i
$834$	5.63712	−	14.0161i	0.195198	−	0.485338i
$835$	2.39468	−	17.6271i	0.0828714	−	0.610010i
$836$	−4.17093	−	4.00243i	−0.144255	−	0.138427i
$837$	−25.7699	−	25.7699i	−0.890737	−	0.890737i
$838$	11.8584	+	8.90657i	0.409640	+	0.307673i
$839$	5.55502	+	3.20719i	0.191781	+	0.110725i	0.592816	−	0.805338i	$-0.298016\pi$
$839$	5.55502	+	3.20719i	0.191781	+	0.110725i	−0.401035	+	0.916063i	$0.631350\pi$
$840$	−3.62298	+	15.1317i	−0.125005	+	0.522094i
$841$	−13.3492	+	23.1215i	−0.460318	+	0.797295i
$842$	−8.40631	−	19.7173i	−0.289700	−	0.679504i
$843$	3.33195	−	12.4350i	0.114759	−	0.428285i
$844$	−10.5924	+	43.0632i	−0.364606	+	1.48230i
$845$	−28.0436	−	7.65237i	−0.964728	−	0.263249i
$846$	27.5108	−	21.5639i	0.945840	−	0.741381i
$847$	24.7380	+	6.62854i	0.850009	+	0.227759i
$848$	17.9886	−	19.5365i	0.617731	−	0.670887i
$849$	5.18906	+	2.99590i	0.178088	+	0.102819i
$850$	32.4963	+	24.8294i	1.11461	+	0.851641i
$851$	2.34795	−	4.06677i	0.0804867	−	0.139407i
$852$	−0.155658	−	7.55019i	−0.00533275	−	0.258665i
$853$	19.7870	−	19.7870i	0.677494	−	0.677494i	−0.281938	−	0.959432i	$-0.590977\pi$
$853$	19.7870	−	19.7870i	0.677494	−	0.677494i	0.959432	+	0.281938i	$0.0909774\pi$
$854$	15.5134	−	2.20527i	0.530857	−	0.0754627i
$855$	−7.25945	+	5.52294i	−0.248268	+	0.188880i
$856$	44.2147	+	31.8048i	1.51123	+	1.08706i
$857$	33.3074	−	33.3074i	1.13776	−	1.13776i	0.148907	−	0.988851i	$-0.452425\pi$
$857$	33.3074	−	33.3074i	1.13776	−	1.13776i	0.988851	−	0.148907i	$-0.0475755\pi$
$858$	2.10367	−	6.40861i	0.0718180	−	0.218786i
$859$	−21.8062			−0.744019			−0.372009	−	0.928229i	$-0.621331\pi$
$859$	−21.8062			−0.744019			−0.372009	+	0.928229i	$0.621331\pi$
$860$	−15.1315	+	38.3050i	−0.515980	+	1.30619i
$861$	−1.59259	−	2.75844i	−0.0542753	−	0.0940075i
$862$	−5.78889	−	4.34792i	−0.197170	−	0.148091i
$863$	5.02124	+	5.02124i	0.170925	+	0.170925i	0.787386	−	0.616461i	$-0.211434\pi$
$863$	5.02124	+	5.02124i	0.170925	+	0.170925i	−0.616461	+	0.787386i	$0.711434\pi$
$864$	−7.96982	+	22.4471i	−0.271139	+	0.763666i
$865$	−7.21788	−	17.6309i	−0.245415	−	0.599469i
$866$	−21.0676	+	16.5134i	−0.715905	+	0.561150i
$867$	−12.4144	+	3.32642i	−0.421615	+	0.112971i
$868$	47.7552	+	26.2742i	1.62092	+	0.891805i
$869$	−7.85799	−	13.6104i	−0.266564	−	0.461703i
$870$	2.66669	+	2.63393i	0.0904092	+	0.0892985i
$871$	−16.7122	−	49.2700i	−0.566270	−	1.66945i
$872$	13.1052	−	34.6299i	0.443797	−	1.17272i
$873$	9.00635	+	2.41324i	0.304819	+	0.0816759i
$874$	3.92619	+	1.57907i	0.132806	+	0.0534130i
$875$	28.1934	−	21.0843i	0.953110	−	0.712778i
$876$	−4.27704	+	17.3882i	−0.144508	+	0.587492i
$877$	−47.7238	+	12.7876i	−1.61152	+	0.431805i	−0.948495	−	0.316792i	$-0.897394\pi$
$877$	−47.7238	+	12.7876i	−1.61152	+	0.431805i	−0.663025	+	0.748597i	$0.730728\pi$
$878$	−20.2637	−	15.2196i	−0.683865	−	0.513637i
$879$			13.2385i			0.446524i
$880$	9.65822	+	11.6641i	0.325579	+	0.393197i
$881$	24.2806	+	42.0552i	0.818033	+	1.41688i	0.907129	+	0.420852i	$0.138269\pi$
$881$	24.2806	+	42.0552i	0.818033	+	1.41688i	−0.0890958	+	0.996023i	$0.528398\pi$
$882$	9.06265	−	3.86378i	0.305155	−	0.130100i
$883$	−6.57308	+	6.57308i	−0.221202	+	0.221202i	−0.809004	−	0.587803i	$-0.799993\pi$
$883$	−6.57308	+	6.57308i	−0.221202	+	0.221202i	0.587803	+	0.809004i	$0.299993\pi$
$884$	3.57532	+	41.5527i	0.120251	+	1.39757i
$885$	6.65374	−	8.59763i	0.223663	−	0.289006i
$886$	6.74027	−	16.7590i	0.226444	−	0.563028i
$887$	10.2024	−	38.0759i	0.342564	−	1.27847i	−0.552869	−	0.833268i	$-0.686467\pi$
$887$	10.2024	−	38.0759i	0.342564	−	1.27847i	0.895433	−	0.445197i	$-0.146866\pi$
$888$	3.74732	+	4.58297i	0.125752	+	0.153794i
$889$	−18.3841			−0.616583
$890$	−2.22250	+	3.90503i	−0.0744984	+	0.130897i
$891$	−3.28374	+	5.68761i	−0.110010	+	0.190542i
$892$	24.4192	+	40.3510i	0.817616	+	1.35105i
$893$	17.0558	−	4.57009i	0.570751	−	0.152932i
$894$	6.72021	−	16.7091i	0.224757	−	0.558835i
$895$	−23.7382	+	18.0599i	−0.793482	+	0.603675i
$896$	2.09187	−	35.5638i	0.0698844	−	1.18810i
$897$	0.321808	+	4.92734i	0.0107449	+	0.164519i
$898$	−4.66812	+	38.5219i	−0.155777	+	1.28549i
$899$	11.3711	−	6.56509i	0.379246	−	0.218958i
$900$	20.5452	−	12.2028i	0.684840	−	0.406762i
$901$	19.1993	−	33.2542i	0.639622	−	1.10786i
$902$	−3.07757	−	0.372943i	−0.102472	−	0.0124176i
$903$	−21.8844	+	5.86391i	−0.728268	+	0.195139i
$904$	1.28803	−	12.8400i	0.0428394	−	0.427053i
$905$	5.35922	+	42.0473i	0.178147	+	1.39770i
$906$	14.5179	−	2.06376i	0.482325	−	0.0685637i
$907$	−3.82965	+	14.2924i	−0.127161	+	0.474573i	−0.999907	−	0.0136016i	$-0.995670\pi$
$907$	−3.82965	+	14.2924i	−0.127161	+	0.474573i	0.872746	+	0.488174i	$0.162337\pi$
$908$	−45.2775	−	24.9110i	−1.50259	−	0.826701i
$909$		−	8.63670i		−	0.286461i
$910$	35.2537	+	6.79463i	1.16865	+	0.225240i
$911$			56.7680i			1.88081i	0.340060	+	0.940404i	$0.389552\pi$
$911$			56.7680i			1.88081i	−0.340060	+	0.940404i	$0.610448\pi$
$912$	−3.61369	+	3.92465i	−0.119661	+	0.129958i
$913$	4.41012	−	16.4588i	0.145954	−	0.544706i
$914$	2.43751	+	17.1471i	0.0806257	+	0.567177i
$915$	4.86143	+	3.76228i	0.160714	+	0.124377i
$916$	0.198932	−	0.207307i	0.00657290	−	0.00684963i
$917$	4.58511	−	1.22858i	0.151414	−	0.0405712i
$918$	−4.14333	+	34.1912i	−0.136750	+	1.12848i
$919$	21.1517	−	36.6358i	0.697729	−	1.20850i	−0.271523	−	0.962432i	$-0.587527\pi$
$919$	21.1517	−	36.6358i	0.697729	−	1.20850i	0.969252	−	0.246070i	$-0.0791395\pi$
$920$	−9.74604	−	5.28392i	−0.321317	−	0.174206i
$921$	−8.58878	+	4.95873i	−0.283010	+	0.163396i
$922$	−23.9418	−	2.90129i	−0.788481	−	0.0955489i
$923$	−17.3883	+	1.13564i	−0.572343	+	0.0373802i
$924$	−1.98982	+	8.08957i	−0.0654604	+	0.266127i
$925$	0.110536	−	13.3943i	0.00363440	−	0.440401i
$926$	−27.6070	−	11.1032i	−0.907221	−	0.364875i
$927$	−17.4886	+	4.68606i	−0.574402	+	0.153911i
$928$	−7.06857	−	4.86669i	−0.232037	−	0.159757i
$929$	−1.96558	+	3.40448i	−0.0644884	+	0.111697i	−0.896467	−	0.443111i	$-0.853875\pi$
$929$	−1.96558	+	3.40448i	−0.0644884	+	0.111697i	0.831979	+	0.554808i	$0.187208\pi$
$930$	5.66191	+	20.6199i	0.185661	+	0.676154i
$931$	4.97671			0.163105
$932$	−26.8823	+	0.554217i	−0.880560	+	0.0181540i
$933$	1.04556	−	3.90207i	0.0342300	−	0.127748i
$934$	−5.07976	−	2.04303i	−0.166215	−	0.0668498i
$935$	17.3164	+	13.4012i	0.566308	+	0.438268i
$936$	23.3054	+	7.12146i	0.761760	+	0.232772i
$937$	−32.4683	+	32.4683i	−1.06069	+	1.06069i	−0.0626596	+	0.998035i	$0.519958\pi$
$937$	−32.4683	+	32.4683i	−1.06069	+	1.06069i	−0.998035	+	0.0626596i	$0.980042\pi$
$938$	25.2010	+	59.1099i	0.822841	+	1.93001i
$939$	−6.68385	−	11.5768i	−0.218119	−	0.377793i
$940$	−45.7562	+	6.79313i	−1.49240	+	0.221567i
$941$			37.8083i			1.23252i	0.787545	+	0.616258i	$0.211352\pi$
$941$			37.8083i			1.23252i	−0.787545	+	0.616258i	$0.788648\pi$
$942$	12.9564	−	17.2504i	0.422143	−	0.562049i
$943$	2.19214	−	0.587383i	0.0713860	−	0.0191278i
$944$	−11.5469	+	22.0516i	−0.375819	+	0.717720i
$945$	27.3447	+	11.4589i	0.889522	+	0.372760i
$946$	−8.22819	+	20.4585i	−0.267522	+	0.665163i
$947$	6.07236	+	1.62708i	0.197325	+	0.0528731i	0.356128	−	0.934437i	$-0.384097\pi$
$947$	6.07236	+	1.62708i	0.197325	+	0.0528731i	−0.158803	+	0.987310i	$0.550763\pi$
$948$	−12.4089	+	7.50947i	−0.403021	+	0.243896i
$949$	40.5224	+	8.07017i	1.31541	+	0.261969i
$950$	11.9645	−	1.60017i	0.388180	−	0.0519164i
$951$	3.12285	+	5.40893i	0.101265	+	0.175397i
$952$	−8.29912	−	50.8377i	−0.268976	−	1.64766i
$953$	−43.2508	+	11.5890i	−1.40103	+	0.375405i	−0.878715	−	0.477347i	$-0.841599\pi$
$953$	−43.2508	+	11.5890i	−1.40103	+	0.375405i	−0.522316	+	0.852752i	$0.674932\pi$
$954$	−13.8412	−	17.6584i	−0.448126	−	0.571710i
$955$	11.6382	−	27.7725i	0.376604	−	0.898697i
$956$	7.82677	+	7.51057i	0.253136	+	0.242909i
$957$	1.41903	+	1.41903i	0.0458709	+	0.0458709i
$958$	28.0772	−	37.3824i	0.907133	−	1.20777i
$959$	−30.1420	−	52.2074i	−0.973335	−	1.68587i
$960$	10.5787	−	9.13351i	0.341427	−	0.294783i
$961$	43.9070			1.41635
$962$	10.1789	−	9.10968i	0.328180	−	0.293708i
$963$	32.5375	−	32.5375i	1.04851	−	1.04851i
$964$	−3.24250	+	0.940871i	−0.104434	+	0.0303034i
$965$	1.37350	−	10.1103i	0.0442146	−	0.325461i
$966$	−0.858308	−	6.03794i	−0.0276156	−	0.194268i
$967$	−35.9460	+	35.9460i	−1.15595	+	1.15595i	−0.170607	+	0.985339i	$0.554573\pi$
$967$	−35.9460	+	35.9460i	−1.15595	+	1.15595i	−0.985339	+	0.170607i	$0.945427\pi$
$968$	−14.5618	−	17.8091i	−0.468035	−	0.572405i
$969$	−3.85691	+	6.68036i	−0.123902	+	0.214604i
$970$	−8.77878	−	8.67093i	−0.281870	−	0.278407i
$971$	−22.7373	−	13.1274i	−0.729675	−	0.421278i	0.0886283	−	0.996065i	$-0.471752\pi$
$971$	−22.7373	−	13.1274i	−0.729675	−	0.421278i	−0.818303	+	0.574787i	$0.805085\pi$
$972$	27.4462	+	15.1005i	0.880337	+	0.484348i
$973$	41.5868	+	11.1432i	1.33321	+	0.357233i
$974$	12.0078	+	15.3193i	0.384754	+	0.490861i
$975$	7.72548	+	11.7771i	0.247413	+	0.377169i
$976$	−12.4688	−	6.52905i	−0.399118	−	0.208990i
$977$	6.44653	−	24.0588i	0.206243	−	0.769709i	−0.782824	−	0.622243i	$-0.786222\pi$
$977$	6.44653	−	24.0588i	0.206243	−	0.769709i	0.989067	−	0.147466i	$-0.0471117\pi$
$978$	12.0114	−	5.12097i	0.384083	−	0.163750i
$979$	−1.20285	+	2.08340i	−0.0384434	+	0.0665859i
$980$	−12.9524	−	1.48841i	−0.413748	−	0.0475455i
$981$	−27.0909	−	15.6409i	−0.864946	−	0.499377i
$982$	−1.18653	+	1.57976i	−0.0378637	+	0.0504123i
$983$	−8.45425	−	8.45425i	−0.269649	−	0.269649i	0.559310	−	0.828959i	$-0.311066\pi$
$983$	−8.45425	−	8.45425i	−0.269649	−	0.269649i	−0.828959	+	0.559310i	$0.811066\pi$
$984$	−0.285570	+	2.84676i	−0.00910364	+	0.0907515i
$985$	22.1155	+	3.00445i	0.704659	+	0.0957296i
$986$	−11.5124	−	4.63017i	−0.366630	−	0.147455i
$987$	−17.9936	−	17.9936i	−0.572741	−	0.572741i
$988$	9.41871	+	7.92630i	0.299649	+	0.252169i
$989$		−	16.1430i		−	0.513316i
$990$	11.0403	−	6.46544i	0.350884	−	0.205485i
$991$	24.3058	−	14.0330i	0.772100	−	0.445772i	−0.0615233	−	0.998106i	$-0.519596\pi$
$991$	24.3058	−	14.0330i	0.772100	−	0.445772i	0.833623	+	0.552334i	$0.186263\pi$
$992$	−21.0410	−	44.2074i	−0.668054	−	1.40359i
$993$	9.08262	−	9.08262i	0.288228	−	0.288228i
$994$	21.3075	−	3.02892i	0.675834	−	0.0960715i
$995$	−38.5774	−	16.1661i	−1.22298	−	0.512499i
$996$	−15.2704	−	3.75612i	−0.483861	−	0.119017i
$997$	−15.5675	−	58.0986i	−0.493026	−	1.84000i	−0.540814	−	0.841142i	$-0.681884\pi$
$997$	−15.5675	−	58.0986i	−0.493026	−	1.84000i	0.0477878	−	0.998858i	$-0.484783\pi$
$998$	8.04500	+	18.8699i	0.254660	+	0.597315i
$999$	9.76924	−	5.64027i	0.309085	−	0.178450i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bg.c.23.31	yes	144
4.3	odd	2	inner	260.2.bg.c.23.12	✓	144
5.2	odd	4	inner	260.2.bg.c.127.25	yes	144
13.4	even	6	inner	260.2.bg.c.43.31	yes	144
20.7	even	4	inner	260.2.bg.c.127.31	yes	144
52.43	odd	6	inner	260.2.bg.c.43.25	yes	144
65.17	odd	12	inner	260.2.bg.c.147.12	yes	144
260.147	even	12	inner	260.2.bg.c.147.31	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bg.c.23.12	✓	144	4.3	odd	2	inner
260.2.bg.c.23.31	yes	144	1.1	even	1	trivial
260.2.bg.c.43.25	yes	144	52.43	odd	6	inner
260.2.bg.c.43.31	yes	144	13.4	even	6	inner
260.2.bg.c.127.25	yes	144	5.2	odd	4	inner
260.2.bg.c.127.31	yes	144	20.7	even	4	inner
260.2.bg.c.147.12	yes	144	65.17	odd	12	inner
260.2.bg.c.147.31	yes	144	260.147	even	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.bg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.30092 - 0.554634i) q^{2} +(0.754665 + 0.202212i) q^{3} +(1.38476 - 1.44306i) q^{4} +(0.282716 + 2.21812i) q^{5} +(1.09391 - 0.155502i) q^{6} +(0.814984 + 3.04156i) q^{7} +(1.00109 - 2.64534i) q^{8} +(-2.06945 - 1.19480i) q^{9} +O(q^{10})\)	\(q+(1.30092 - 0.554634i) q^{2} +(0.754665 + 0.202212i) q^{3} +(1.38476 - 1.44306i) q^{4} +(0.282716 + 2.21812i) q^{5} +(1.09391 - 0.155502i) q^{6} +(0.814984 + 3.04156i) q^{7} +(1.00109 - 2.64534i) q^{8} +(-2.06945 - 1.19480i) q^{9} +(1.59803 + 2.72879i) q^{10} +(0.846561 + 1.46629i) q^{11} +(1.33684 - 0.809013i) q^{12} +(-2.00244 - 2.99837i) q^{13} +(2.74718 + 3.50480i) q^{14} +(-0.235175 + 1.73111i) q^{15} +(-0.164861 - 3.99660i) q^{16} +(-1.49691 - 5.58654i) q^{17} +(-3.35485 - 0.406544i) q^{18} +(-1.47839 - 0.853551i) q^{19} +(3.59239 + 2.66360i) q^{20} +2.46016i q^{21} +(1.91456 + 1.43798i) q^{22} +(-1.69316 - 0.453682i) q^{23} +(1.29041 - 1.79391i) q^{24} +(-4.84014 + 1.25420i) q^{25} +(-4.26801 - 2.79001i) q^{26} +(-2.97750 - 2.97750i) q^{27} +(5.51772 + 3.03577i) q^{28} +(1.31383 - 0.758542i) q^{29} +(0.654187 + 2.38246i) q^{30} +8.65488 q^{31} +(-2.43112 - 5.10780i) q^{32} +(0.342369 + 1.27774i) q^{33} +(-5.04584 - 6.43738i) q^{34} +(-6.51615 + 2.66763i) q^{35} +(-4.58986 + 1.33183i) q^{36} +(-0.693362 + 2.58766i) q^{37} +(-2.39667 - 0.290431i) q^{38} +(-0.904867 - 2.66768i) q^{39} +(6.15071 + 1.47266i) q^{40} +(-1.12125 + 0.647352i) q^{41} +(1.36449 + 3.20046i) q^{42} +(2.38355 + 8.89553i) q^{43} +(3.28823 + 0.808819i) q^{44} +(2.06514 - 4.92808i) q^{45} +(-2.45429 + 0.348883i) q^{46} +(-7.31398 + 7.31398i) q^{47} +(0.683745 - 3.04943i) q^{48} +(-2.52472 + 1.45765i) q^{49} +(-5.60100 + 4.31611i) q^{50} -4.51866i q^{51} +(-7.09975 - 1.26238i) q^{52} +(4.69463 + 4.69463i) q^{53} +(-5.52489 - 2.22205i) q^{54} +(-3.01307 + 2.29232i) q^{55} +(8.86183 + 0.888965i) q^{56} +(-0.943094 - 0.943094i) q^{57} +(1.28847 - 1.71549i) q^{58} +(-5.38925 - 3.11149i) q^{59} +(2.17244 + 2.73655i) q^{60} +(1.75935 - 3.04729i) q^{61} +(11.2593 - 4.80029i) q^{62} +(1.94748 - 7.26809i) q^{63} +(-5.99564 - 5.29644i) q^{64} +(6.08463 - 5.28935i) q^{65} +(1.15407 + 1.47234i) q^{66} +(13.9381 + 3.73469i) q^{67} +(-10.1346 - 5.57590i) q^{68} +(-1.18603 - 0.684755i) q^{69} +(-6.99740 + 7.08444i) q^{70} +(2.41646 - 4.18543i) q^{71} +(-5.23234 + 4.27829i) q^{72} +(-8.10316 + 8.10316i) q^{73} +(0.533199 + 3.75089i) q^{74} +(-3.90630 - 0.0322366i) q^{75} +(-3.27895 + 0.951449i) q^{76} +(-3.76987 + 3.76987i) q^{77} +(-2.65674 - 2.96856i) q^{78} -9.28225 q^{79} +(8.81835 - 1.49558i) q^{80} +(1.93946 + 3.35924i) q^{81} +(-1.09960 + 1.46403i) q^{82} +(-7.11624 - 7.11624i) q^{83} +(3.55016 + 3.40674i) q^{84} +(11.9684 - 4.89973i) q^{85} +(8.03456 + 10.2503i) q^{86} +(1.14489 - 0.306772i) q^{87} +(4.72631 - 0.771557i) q^{88} +(0.710435 + 1.23051i) q^{89} +(-0.0467037 - 7.55641i) q^{90} +(7.48777 - 8.53417i) q^{91} +(-2.99932 + 1.81510i) q^{92} +(6.53153 + 1.75012i) q^{93} +(-5.45830 + 13.5715i) q^{94} +(1.47532 - 3.52057i) q^{95} +(-0.801822 - 4.34628i) q^{96} +(-3.76899 + 1.00990i) q^{97} +(-2.47599 + 3.29657i) q^{98} -4.04587i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 6 q^{2} - 12 q^{6}+O(q^{10}) \) 144 * q - 6 * q^2 - 12 * q^6	\( 144 q - 6 q^{2} - 12 q^{6} + 12 q^{10} - 12 q^{12} + 4 q^{13} - 12 q^{16} - 24 q^{17} - 42 q^{20} - 12 q^{22} - 24 q^{25} - 36 q^{26} - 6 q^{28} - 36 q^{32} - 12 q^{33} - 76 q^{36} + 48 q^{37} - 16 q^{38} + 76 q^{40} - 72 q^{41} + 40 q^{42} - 120 q^{45} - 12 q^{46} - 40 q^{48} + 120 q^{50} - 10 q^{52} + 8 q^{53} - 20 q^{56} + 126 q^{58} + 16 q^{61} - 44 q^{62} + 32 q^{65} + 96 q^{66} - 64 q^{68} - 54 q^{72} - 12 q^{76} + 40 q^{77} - 100 q^{78} - 24 q^{80} - 32 q^{81} - 78 q^{82} - 24 q^{85} - 10 q^{88} - 8 q^{90} + 100 q^{92} - 48 q^{93} - 12 q^{97} - 162 q^{98}+O(q^{100}) \) 144 * q - 6 * q^2 - 12 * q^6 + 12 * q^10 - 12 * q^12 + 4 * q^13 - 12 * q^16 - 24 * q^17 - 42 * q^20 - 12 * q^22 - 24 * q^25 - 36 * q^26 - 6 * q^28 - 36 * q^32 - 12 * q^33 - 76 * q^36 + 48 * q^37 - 16 * q^38 + 76 * q^40 - 72 * q^41 + 40 * q^42 - 120 * q^45 - 12 * q^46 - 40 * q^48 + 120 * q^50 - 10 * q^52 + 8 * q^53 - 20 * q^56 + 126 * q^58 + 16 * q^61 - 44 * q^62 + 32 * q^65 + 96 * q^66 - 64 * q^68 - 54 * q^72 - 12 * q^76 + 40 * q^77 - 100 * q^78 - 24 * q^80 - 32 * q^81 - 78 * q^82 - 24 * q^85 - 10 * q^88 - 8 * q^90 + 100 * q^92 - 48 * q^93 - 12 * q^97 - 162 * q^98

Introduction

L-functions

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