LMFDB - Embedded newform 260.2.bg.c.23.5

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			23.5
Character	$\chi$	$=$	260.23
Dual form			260.2.bg.c.147.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.33237 - 0.474120i) q^{2} +(-1.74962 - 0.468810i) q^{3} +(1.55042 + 1.26341i) q^{4} +(-2.23215 + 0.132344i) q^{5} +(2.10887 + 1.45416i) q^{6} +(-0.184185 - 0.687388i) q^{7} +(-1.46673 - 2.41841i) q^{8} +(0.243315 + 0.140478i) q^{9} +O(q^{10})$	\(q+(-1.33237 - 0.474120i) q^{2} +(-1.74962 - 0.468810i) q^{3} +(1.55042 + 1.26341i) q^{4} +(-2.23215 + 0.132344i) q^{5} +(2.10887 + 1.45416i) q^{6} +(-0.184185 - 0.687388i) q^{7} +(-1.46673 - 2.41841i) q^{8} +(0.243315 + 0.140478i) q^{9} +(3.03679 + 0.881975i) q^{10} +(1.79185 + 3.10357i) q^{11} +(-2.12035 - 2.93733i) q^{12} +(2.83108 + 2.23270i) q^{13} +(-0.0805018 + 1.00318i) q^{14} +(3.96746 + 0.814901i) q^{15} +(0.807606 + 3.91762i) q^{16} +(-0.712287 - 2.65829i) q^{17} +(-0.257582 - 0.302529i) q^{18} +(3.21815 + 1.85800i) q^{19} +(-3.62797 - 2.61492i) q^{20} +1.28902i q^{21} +(-0.915939 - 4.98465i) q^{22} +(3.92688 + 1.05221i) q^{23} +(1.43244 + 4.91892i) q^{24} +(4.96497 - 0.590822i) q^{25} +(-2.71348 - 4.31706i) q^{26} +(3.48258 + 3.48258i) q^{27} +(0.582887 - 1.29844i) q^{28} +(4.05091 - 2.33879i) q^{29} +(-4.89976 - 2.96680i) q^{30} +4.38638 q^{31} +(0.781394 - 5.60263i) q^{32} +(-1.68007 - 6.27011i) q^{33} +(-0.311320 + 3.87954i) q^{34} +(0.502100 + 1.50998i) q^{35} +(0.199759 + 0.525205i) q^{36} +(-2.16839 + 8.09255i) q^{37} +(-3.40685 - 4.00133i) q^{38} +(-3.90661 - 5.23362i) q^{39} +(3.59401 + 5.20414i) q^{40} +(-7.11493 + 4.10781i) q^{41} +(0.611149 - 1.71745i) q^{42} +(-1.28437 - 4.79334i) q^{43} +(-1.14296 + 7.07567i) q^{44} +(-0.561706 - 0.281366i) q^{45} +(-4.73319 - 3.26374i) q^{46} +(-8.71527 + 8.71527i) q^{47} +(0.423614 - 7.23297i) q^{48} +(5.62360 - 3.24679i) q^{49} +(-6.89530 - 1.56680i) q^{50} +4.98493i q^{51} +(1.56856 + 7.03844i) q^{52} +(3.90283 + 3.90283i) q^{53} +(-2.98893 - 6.29125i) q^{54} +(-4.41041 - 6.69049i) q^{55} +(-1.39224 + 1.45365i) q^{56} +(-4.75949 - 4.75949i) q^{57} +(-6.50618 + 1.19552i) q^{58} +(-4.18868 - 2.41834i) q^{59} +(5.12167 + 6.27595i) q^{60} +(-3.17394 + 5.49742i) q^{61} +(-5.84428 - 2.07967i) q^{62} +(0.0517479 - 0.193126i) q^{63} +(-3.69742 + 7.09430i) q^{64} +(-6.61488 - 4.60905i) q^{65} +(-0.734308 + 9.15066i) q^{66} +(4.00590 + 1.07338i) q^{67} +(2.25416 - 5.02138i) q^{68} +(-6.37727 - 3.68192i) q^{69} +(0.0469272 - 2.24990i) q^{70} +(5.52180 - 9.56404i) q^{71} +(-0.0171432 - 0.794478i) q^{72} +(1.44992 - 1.44992i) q^{73} +(6.72594 - 9.75419i) q^{74} +(-8.96380 - 1.29391i) q^{75} +(2.64207 + 6.94651i) q^{76} +(1.80333 - 1.80333i) q^{77} +(2.72368 + 8.82533i) q^{78} -2.44824 q^{79} +(-2.32117 - 8.63783i) q^{80} +(-4.88197 - 8.45581i) q^{81} +(11.4273 - 2.09979i) q^{82} +(8.77666 + 8.77666i) q^{83} +(-1.62855 + 1.99852i) q^{84} +(1.94174 + 5.83944i) q^{85} +(-0.561361 + 6.99546i) q^{86} +(-8.18401 + 2.19290i) q^{87} +(4.87756 - 8.88551i) q^{88} +(-0.881445 - 1.52671i) q^{89} +(0.614999 + 0.641200i) q^{90} +(1.01329 - 2.35728i) q^{91} +(4.75896 + 6.59261i) q^{92} +(-7.67450 - 2.05638i) q^{93} +(15.7441 - 7.47989i) q^{94} +(-7.42928 - 3.72143i) q^{95} +(-3.99371 + 9.43615i) q^{96} +(-6.32870 + 1.69577i) q^{97} +(-9.03208 + 1.65966i) q^{98} +1.00686i 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 $

$2$	−1.33237	−	0.474120i	−0.942128	−	0.335254i
$2$	−1.33237	−	0.474120i	−0.942128	−	0.335254i
$3$	−1.74962	−	0.468810i	−1.01014	−	0.270667i	−0.284455	−	0.958690i	$-0.591812\pi$
$3$	−1.74962	−	0.468810i	−1.01014	−	0.270667i	−0.725690	+	0.688022i	$0.758479\pi$
$4$	1.55042	+	1.26341i	0.775210	+	0.631703i
$5$	−2.23215	+	0.132344i	−0.998247	+	0.0591859i
$5$	−2.23215	+	0.132344i	−0.998247	+	0.0591859i
$6$	2.10887	+	1.45416i	0.860943	+	0.593658i
$7$	−0.184185	−	0.687388i	−0.0696154	−	0.259808i	0.922343	−	0.386372i	$-0.126272\pi$
$7$	−0.184185	−	0.687388i	−0.0696154	−	0.259808i	−0.991958	+	0.126564i	$0.959605\pi$
$8$	−1.46673	−	2.41841i	−0.518566	−	0.855037i
$9$	0.243315	+	0.140478i	0.0811049	+	0.0468259i
$10$	3.03679	+	0.881975i	0.960319	+	0.278905i
$11$	1.79185	+	3.10357i	0.540262	+	0.935762i	0.998889	+	0.0471324i	$0.0150083\pi$
$11$	1.79185	+	3.10357i	0.540262	+	0.935762i	−0.458626	+	0.888629i	$0.651658\pi$
$12$	−2.12035	−	2.93733i	−0.612092	−	0.847936i
$13$	2.83108	+	2.23270i	0.785201	+	0.619241i
$13$	2.83108	+	2.23270i	0.785201	+	0.619241i
$14$	−0.0805018	+	1.00318i	−0.0215150	+	0.268112i
$15$	3.96746	+	0.814901i	1.02439	+	0.210407i
$16$	0.807606	+	3.91762i	0.201902	+	0.979406i
$17$	−0.712287	−	2.65829i	−0.172755	−	0.644731i	−0.996923	−	0.0783854i	$-0.975024\pi$
$17$	−0.712287	−	2.65829i	−0.172755	−	0.644731i	0.824168	−	0.566345i	$-0.191643\pi$
$18$	−0.257582	−	0.302529i	−0.0607126	−	0.0713067i
$19$	3.21815	+	1.85800i	0.738294	+	0.426254i	0.821449	−	0.570282i	$-0.193166\pi$
$19$	3.21815	+	1.85800i	0.738294	+	0.426254i	−0.0831547	+	0.996537i	$0.526500\pi$
$20$	−3.62797	−	2.61492i	−0.811239	−	0.584715i
$21$			1.28902i			0.281287i
$22$	−0.915939	−	4.98465i	−0.195279	−	1.06273i
$23$	3.92688	+	1.05221i	0.818812	+	0.219400i	0.643827	−	0.765171i	$-0.277346\pi$
$23$	3.92688	+	1.05221i	0.818812	+	0.219400i	0.174985	+	0.984571i	$0.444012\pi$
$24$	1.43244	+	4.91892i	0.292396	+	1.00407i
$25$	4.96497	−	0.590822i	0.992994	−	0.118164i
$26$	−2.71348	−	4.31706i	−0.532157	−	0.846645i
$27$	3.48258	+	3.48258i	0.670223	+	0.670223i
$28$	0.582887	−	1.29844i	0.110155	−	0.245382i
$29$	4.05091	−	2.33879i	0.752235	−	0.434303i	−0.0742658	−	0.997238i	$-0.523661\pi$
$29$	4.05091	−	2.33879i	0.752235	−	0.434303i	0.826501	+	0.562935i	$0.190328\pi$
$30$	−4.89976	−	2.96680i	−0.894570	−	0.541661i
$31$	4.38638			0.787817			0.393909	−	0.919150i	$-0.371123\pi$
$31$	4.38638			0.787817			0.393909	+	0.919150i	$0.371123\pi$
$32$	0.781394	−	5.60263i	0.138132	−	0.990414i
$33$	−1.68007	−	6.27011i	−0.292463	−	1.09149i
$34$	−0.311320	+	3.87954i	−0.0533909	+	0.665336i
$35$	0.502100	+	1.50998i	0.0848704	+	0.255233i
$36$	0.199759	+	0.525205i	0.0332932	+	0.0875342i
$37$	−2.16839	+	8.09255i	−0.356481	+	1.33041i	0.522128	+	0.852867i	$0.325138\pi$
$37$	−2.16839	+	8.09255i	−0.356481	+	1.33041i	−0.878610	+	0.477540i	$0.841529\pi$
$38$	−3.40685	−	4.00133i	−0.552664	−	0.649102i
$39$	−3.90661	−	5.23362i	−0.625558	−	0.838051i
$40$	3.59401	+	5.20414i	0.568263	+	0.822847i
$41$	−7.11493	+	4.10781i	−1.11117	+	0.641532i	−0.939131	−	0.343559i	$-0.888367\pi$
$41$	−7.11493	+	4.10781i	−1.11117	+	0.641532i	−0.172035	+	0.985091i	$0.555034\pi$
$42$	0.611149	−	1.71745i	0.0943023	−	0.265008i
$43$	−1.28437	−	4.79334i	−0.195865	−	0.730978i	−0.992041	−	0.125913i	$-0.959814\pi$
$43$	−1.28437	−	4.79334i	−0.195865	−	0.730978i	0.796176	−	0.605065i	$-0.206853\pi$
$44$	−1.14296	+	7.07567i	−0.172307	+	1.06670i
$45$	−0.561706	−	0.281366i	−0.0837342	−	0.0419436i
$46$	−4.73319	−	3.26374i	−0.697871	−	0.481212i
$47$	−8.71527	+	8.71527i	−1.27125	+	1.27125i	−0.325823	+	0.945431i	$0.605641\pi$
$47$	−8.71527	+	8.71527i	−1.27125	+	1.27125i	−0.945431	+	0.325823i	$0.894359\pi$
$48$	0.423614	−	7.23297i	0.0611435	−	1.04399i
$49$	5.62360	−	3.24679i	0.803371	−	0.463827i
$50$	−6.89530	−	1.56680i	−0.975142	−	0.221579i
$51$			4.98493i			0.698030i
$52$	1.56856	+	7.03844i	0.217519	+	0.976056i
$53$	3.90283	+	3.90283i	0.536095	+	0.536095i	0.922380	−	0.386284i	$-0.126242\pi$
$53$	3.90283	+	3.90283i	0.536095	+	0.536095i	−0.386284	+	0.922380i	$0.626242\pi$
$54$	−2.98893	−	6.29125i	−0.406741	−	0.856131i
$55$	−4.41041	−	6.69049i	−0.594699	−	0.902145i
$56$	−1.39224	+	1.45365i	−0.186046	+	0.194252i
$57$	−4.75949	−	4.75949i	−0.630410	−	0.630410i
$58$	−6.50618	+	1.19552i	−0.854303	+	0.156980i
$59$	−4.18868	−	2.41834i	−0.545320	−	0.314841i	0.201912	−	0.979404i	$-0.435284\pi$
$59$	−4.18868	−	2.41834i	−0.545320	−	0.314841i	−0.747232	+	0.664563i	$0.768618\pi$
$60$	5.12167	+	6.27595i	0.661205	+	0.810222i
$61$	−3.17394	+	5.49742i	−0.406381	+	0.703873i	−0.994481	−	0.104916i	$-0.966543\pi$
$61$	−3.17394	+	5.49742i	−0.406381	+	0.703873i	0.588100	+	0.808788i	$0.299876\pi$
$62$	−5.84428	−	2.07967i	−0.742225	−	0.264118i
$63$	0.0517479	−	0.193126i	0.00651962	−	0.0243315i
$64$	−3.69742	+	7.09430i	−0.462178	+	0.886787i
$65$	−6.61488	−	4.60905i	−0.820475	−	0.571682i
$66$	−0.734308	+	9.15066i	−0.0903871	+	1.12637i
$67$	4.00590	+	1.07338i	0.489399	+	0.131134i	0.495076	−	0.868850i	$-0.335140\pi$
$67$	4.00590	+	1.07338i	0.489399	+	0.131134i	−0.00567676	+	0.999984i	$0.501807\pi$
$68$	2.25416	−	5.02138i	0.273357	−	0.608932i
$69$	−6.37727	−	3.68192i	−0.767733	−	0.443251i
$70$	0.0469272	−	2.24990i	0.00560887	−	0.268915i
$71$	5.52180	−	9.56404i	0.655317	−	1.13504i	−0.326497	−	0.945198i	$-0.605868\pi$
$71$	5.52180	−	9.56404i	0.655317	−	1.13504i	0.981814	−	0.189845i	$-0.0607984\pi$
$72$	−0.0171432	−	0.794478i	−0.00202035	−	0.0936301i
$73$	1.44992	−	1.44992i	0.169700	−	0.169700i	−0.617147	−	0.786848i	$-0.711712\pi$
$73$	1.44992	−	1.44992i	0.169700	−	0.169700i	0.786848	+	0.617147i	$0.211712\pi$
$74$	6.72594	−	9.75419i	0.781875	−	1.13390i
$75$	−8.96380	−	1.29391i	−1.03505	−	0.149408i
$76$	2.64207	+	6.94651i	0.303067	+	0.796819i
$77$	1.80333	−	1.80333i	0.205508	−	0.205508i
$78$	2.72368	+	8.82533i	0.308396	+	0.999272i
$79$	−2.44824			−0.275449			−0.137724	−	0.990471i	$-0.543979\pi$
$79$	−2.44824			−0.275449			−0.137724	+	0.990471i	$0.543979\pi$
$80$	−2.32117	−	8.63783i	−0.259515	−	0.965739i
$81$	−4.88197	−	8.45581i	−0.542441	−	0.939535i
$82$	11.4273	−	2.09979i	1.26194	−	0.231883i
$83$	8.77666	+	8.77666i	0.963363	+	0.963363i	0.999352	−	0.0359890i	$-0.0114581\pi$
$83$	8.77666	+	8.77666i	0.963363	+	0.963363i	−0.0359890	+	0.999352i	$0.511458\pi$
$84$	−1.62855	+	1.99852i	−0.177690	+	0.218056i
$85$	1.94174	+	5.83944i	0.210611	+	0.633376i
$86$	−0.561361	+	6.99546i	−0.0605331	+	0.754339i
$87$	−8.18401	+	2.19290i	−0.877418	+	0.235103i
$88$	4.87756	−	8.88551i	0.519949	−	0.947199i
$89$	−0.881445	−	1.52671i	−0.0934330	−	0.161831i	0.815521	−	0.578728i	$-0.196451\pi$
$89$	−0.881445	−	1.52671i	−0.0934330	−	0.161831i	−0.908954	+	0.416897i	$0.863117\pi$
$90$	0.614999	+	0.641200i	0.0648266	+	0.0675884i
$91$	1.01329	−	2.35728i	0.106222	−	0.247111i
$92$	4.75896	+	6.59261i	0.496155	+	0.687327i
$93$	−7.67450	−	2.05638i	−0.795809	−	0.213236i
$94$	15.7441	−	7.47989i	1.62388	−	0.771491i
$95$	−7.42928	−	3.72143i	−0.762228	−	0.381810i
$96$	−3.99371	+	9.43615i	−0.407606	+	0.963073i
$97$	−6.32870	+	1.69577i	−0.642582	+	0.172179i	−0.565373	−	0.824836i	$-0.691268\pi$
$97$	−6.32870	+	1.69577i	−0.642582	+	0.172179i	−0.0772094	+	0.997015i	$0.524601\pi$
$98$	−9.03208	+	1.65966i	−0.912378	+	0.167651i
$99$			1.00686i			0.101193i
$100$	8.44424	+	5.35676i	0.844424	+	0.535676i
$101$	8.62226	+	14.9342i	0.857947	+	1.48601i	0.873884	+	0.486135i	$0.161594\pi$
$101$	8.62226	+	14.9342i	0.857947	+	1.48601i	−0.0159362	+	0.999873i	$0.505073\pi$
$102$	2.36346	−	6.64177i	0.234017	−	0.657634i
$103$	1.54341	−	1.54341i	0.152077	−	0.152077i	−0.626968	−	0.779045i	$-0.715704\pi$
$103$	1.54341	−	1.54341i	0.152077	−	0.152077i	0.779045	+	0.626968i	$0.215704\pi$
$104$	1.24717	−	10.1215i	0.122295	−	0.992494i
$105$	−0.170593	−	2.87728i	−0.0166482	−	0.280793i
$106$	−3.34961	−	7.05043i	−0.325343	−	0.684798i
$107$	−1.70318	+	6.35636i	−0.164653	+	0.614493i	0.833431	+	0.552623i	$0.186373\pi$
$107$	−1.70318	+	6.35636i	−0.164653	+	0.614493i	−0.998084	+	0.0618699i	$0.980294\pi$
$108$	0.999548	+	9.79939i	0.0961816	+	0.942946i
$109$	4.23306			0.405453			0.202727	−	0.979235i	$-0.435020\pi$
$109$	4.23306			0.405453			0.202727	+	0.979235i	$0.435020\pi$
$110$	2.70420	+	11.0053i	0.257835	+	1.04931i
$111$	7.58773	−	13.1423i	0.720195	−	1.24741i
$112$	2.54418	−	1.27671i	0.240402	−	0.120637i
$113$	17.0624	−	4.57185i	1.60509	−	0.430083i	0.658517	−	0.752566i	$-0.271184\pi$
$113$	17.0624	−	4.57185i	1.60509	−	0.430083i	0.946575	+	0.322483i	$0.104518\pi$
$114$	4.08484	+	8.59798i	0.382580	+	0.805274i
$115$	−8.90464	−	1.82898i	−0.830362	−	0.170553i
$116$	9.23546	+	1.49183i	0.857491	+	0.138513i
$117$	0.375199	+	0.940954i	0.0346871	+	0.0869912i
$118$	4.43429	+	5.20806i	0.408210	+	0.479441i
$119$	−1.69609	+	0.979236i	−0.155480	+	0.0897664i
$120$	−3.84841	−	10.7902i	−0.351310	−	0.985004i
$121$	−0.921431	+	1.59597i	−0.0837665	+	0.145088i
$122$	6.83530	−	5.81977i	0.618839	−	0.526897i
$123$	14.3742	−	3.85156i	1.29608	−	0.347283i
$124$	6.80073	+	5.54178i	0.610724	+	0.497667i
$125$	−11.0044	+	1.97588i	−0.984260	+	0.176728i
$126$	−0.160512	+	0.232780i	−0.0142995	+	0.0207377i
$127$	−1.54328	+	5.75960i	−0.136944	+	0.511082i	0.863038	+	0.505138i	$0.168558\pi$
$127$	−1.54328	+	5.75960i	−0.136944	+	0.511082i	−0.999982	+	0.00594330i	$0.998108\pi$
$128$	8.28989	−	7.69921i	0.732729	−	0.680520i
$129$			8.98866i			0.791408i
$130$	6.62823	+	9.27721i	0.581334	+	0.813665i
$131$		−	12.9821i		−	1.13425i	−0.823632	−	0.567124i	$-0.808056\pi$
$131$		−	12.9821i		−	1.13425i	0.823632	−	0.567124i	$-0.191944\pi$
$132$	5.31688	−	11.8439i	0.462775	−	1.03088i
$133$	0.684432	−	2.55433i	0.0593478	−	0.221489i
$134$	−4.82844	−	3.32942i	−0.417113	−	0.287618i
$135$	−8.23454	−	7.31274i	−0.708716	−	0.629381i
$136$	−5.38411	+	5.62159i	−0.461684	+	0.482048i
$137$	16.8932	−	4.52653i	1.44329	−	0.386728i	0.549604	−	0.835426i	$-0.314779\pi$
$137$	16.8932	−	4.52653i	1.44329	−	0.386728i	0.893683	+	0.448698i	$0.148112\pi$
$138$	6.75121	+	7.92927i	0.574702	+	0.674985i
$139$	4.98323	−	8.63121i	0.422672	−	0.732090i	−0.573528	−	0.819186i	$-0.694425\pi$
$139$	4.98323	−	8.63121i	0.422672	−	0.732090i	0.996200	+	0.0870963i	$0.0277588\pi$
$140$	−1.12925	+	2.97546i	−0.0954390	+	0.251472i
$141$	19.3342	−	11.1626i	1.62824	−	0.940062i
$142$	−11.8916	+	10.1248i	−0.997920	+	0.849658i
$143$	−1.85649	+	12.7871i	−0.155247	+	1.06931i
$144$	−0.353837	+	1.06667i	−0.0294864	+	0.0888888i
$145$	−8.73271	+	5.75665i	−0.725212	+	0.478064i
$146$	−2.61927	+	1.24439i	−0.216772	+	0.102987i
$147$	−11.3613	+	3.04425i	−0.937064	+	0.251085i
$148$	−13.5861	+	9.80729i	−1.11677	+	0.806154i
$149$	−4.93105	+	8.54084i	−0.403968	+	0.699693i	−0.994201	−	0.107540i	$-0.965703\pi$
$149$	−4.93105	+	8.54084i	−0.403968	+	0.699693i	0.590233	+	0.807233i	$0.299036\pi$
$150$	11.3296	+	5.97389i	0.925060	+	0.487766i
$151$	−11.9215			−0.970162			−0.485081	−	0.874469i	$-0.661210\pi$
$151$	−11.9215			−0.970162			−0.485081	+	0.874469i	$0.661210\pi$
$152$	−0.226741	−	10.5080i	−0.0183911	−	0.852310i
$153$	0.200121	−	0.746862i	0.0161788	−	0.0603802i
$154$	−3.25769	+	1.54770i	−0.262512	+	0.124718i
$155$	−9.79105	+	0.580510i	−0.786436	+	0.0466277i
$156$	0.555311	−	13.0500i	0.0444605	−	1.04483i
$157$	5.55699	−	5.55699i	0.443496	−	0.443496i	−0.449689	−	0.893185i	$-0.648465\pi$
$157$	5.55699	−	5.55699i	0.443496	−	0.443496i	0.893185	+	0.449689i	$0.148465\pi$
$158$	3.26197	+	1.16076i	0.259508	+	0.0923452i
$159$	−4.99879	−	8.65816i	−0.396430	−	0.686637i
$160$	−1.00271	+	12.6093i	−0.0792715	+	0.996853i
$161$		−	2.89309i		−	0.228008i
$162$	2.49551	+	13.5809i	0.196066	+	1.06702i
$163$	−7.97299	+	2.13636i	−0.624493	+	0.167332i	−0.557169	−	0.830399i	$-0.688113\pi$
$163$	−7.97299	+	2.13636i	−0.624493	+	0.167332i	−0.0673233	+	0.997731i	$0.521446\pi$
$164$	−16.2210	−	2.62023i	−1.26664	−	0.204605i
$165$	4.57997	+	13.7735i	0.356550	+	1.07226i
$166$	−7.53257	−	15.8549i	−0.584641	−	1.23058i
$167$	6.46689	+	1.73280i	0.500423	+	0.134088i	0.500196	−	0.865912i	$-0.333261\pi$
$167$	6.46689	+	1.73280i	0.500423	+	0.134088i	0.000226846		1.00000i	$0.499928\pi$
$168$	3.11737	−	1.89064i	0.240510	−	0.145866i
$169$	3.03006	+	12.6419i	0.233082	+	0.972457i
$170$	0.181479	−	8.70091i	0.0139188	−	0.667329i
$171$	0.522015	+	0.904157i	0.0399195	+	0.0691426i
$172$	4.06463	−	9.05438i	0.309925	−	0.690390i
$173$	−14.4805	+	3.88005i	−1.10094	+	0.294995i	−0.763146	−	0.646227i	$-0.776346\pi$
$173$	−14.4805	+	3.88005i	−1.10094	+	0.294995i	−0.337790	+	0.941221i	$0.609679\pi$
$174$	11.9438	+	0.958450i	0.905459	+	0.0726599i
$175$	−1.32060	−	3.30404i	−0.0998278	−	0.249762i
$176$	−10.7115	+	9.52624i	−0.807411	+	0.718068i
$177$	6.19487	+	6.19487i	0.465635	+	0.465635i
$178$	0.450568	+	2.45205i	0.0337715	+	0.183789i
$179$	1.14007	+	1.97466i	0.0852129	+	0.147593i	0.905482	−	0.424385i	$-0.139510\pi$
$179$	1.14007	+	1.97466i	0.0852129	+	0.147593i	−0.820269	+	0.571978i	$0.806176\pi$
$180$	−0.515400	−	1.14590i	−0.0384157	−	0.0854103i
$181$	−1.95579			−0.145372			−0.0726862	−	0.997355i	$-0.523157\pi$
$181$	−1.95579			−0.145372			−0.0726862	+	0.997355i	$0.523157\pi$
$182$	−2.46772	+	2.66035i	−0.182919	+	0.197199i
$183$	8.13043	−	8.13043i	0.601019	−	0.601019i
$184$	−3.21500	−	11.0401i	−0.237013	−	0.813888i
$185$	3.76917	−	18.3507i	0.277115	−	1.34917i
$186$	9.25031	+	6.37849i	0.678265	+	0.467694i
$187$	6.97389	−	6.97389i	0.509981	−	0.509981i
$188$	−24.5233	+	2.50140i	−1.78854	+	0.182433i
$189$	1.75245	−	3.03533i	0.127472	−	0.220788i
$190$	8.13415	+	8.48069i	0.590113	+	0.615254i
$191$	23.1804	+	13.3832i	1.67728	+	0.968376i	0.963386	+	0.268118i	$0.0864017\pi$
$191$	23.1804	+	13.3832i	1.67728	+	0.968376i	0.713890	+	0.700258i	$0.246932\pi$
$192$	9.79496	−	10.6789i	0.706891	−	0.770686i
$193$	5.19467	+	1.39191i	0.373921	+	0.100192i	0.440885	−	0.897564i	$-0.354665\pi$
$193$	5.19467	+	1.39191i	0.373921	+	0.100192i	−0.0669644	+	0.997755i	$0.521331\pi$
$194$	9.23617	+	0.741170i	0.663118	+	0.0532129i
$195$	9.41277	+	11.1652i	0.674062	+	0.799557i
$196$	12.8210	+	2.07101i	0.915782	+	0.147929i
$197$	1.61370	−	6.02240i	0.114971	−	0.429078i	−0.884314	−	0.466894i	$-0.845373\pi$
$197$	1.61370	−	6.02240i	0.114971	−	0.429078i	0.999285	+	0.0378151i	$0.0120398\pi$
$198$	0.477372	−	1.34151i	0.0339254	−	0.0953369i
$199$	9.10818	−	15.7758i	0.645662	−	1.11832i	−0.338486	−	0.940971i	$-0.609915\pi$
$199$	9.10818	−	15.7758i	0.645662	−	1.11832i	0.984148	−	0.177348i	$-0.0567518\pi$
$200$	−8.71111	−	11.1408i	−0.615968	−	0.787771i
$201$	−6.50560	−	3.75601i	−0.458870	−	0.264929i
$202$	−4.40744	−	23.9859i	−0.310107	−	1.68764i
$203$	−2.35378	−	2.35378i	−0.165203	−	0.165203i
$204$	−6.29800	+	7.72874i	−0.440948	+	0.541120i
$205$	15.3379	−	10.1109i	1.07125	−	0.706173i
$206$	−2.78815	+	1.32463i	−0.194260	+	0.0922914i
$207$	0.807657	+	0.807657i	0.0561360	+	0.0561360i
$208$	−6.46049	+	12.8943i	−0.447955	+	0.894056i
$209$			13.3170i			0.921156i
$210$	−1.13688	+	3.91448i	−0.0784522	+	0.270125i
$211$	−19.5416	+	11.2824i	−1.34530	+	0.776711i	−0.987580	−	0.157117i	$-0.949780\pi$
$211$	−19.5416	+	11.2824i	−1.34530	+	0.776711i	−0.357723	+	0.933828i	$0.616447\pi$
$212$	1.12017	+	10.9819i	0.0769333	+	0.754240i
$213$	−14.1448	+	14.1448i	−0.969184	+	0.969184i
$214$	5.28295	−	7.66152i	0.361135	−	0.523730i
$215$	3.50128	+	10.5295i	0.238785	+	0.718104i
$216$	3.31432	−	13.5303i	0.225511	−	0.920621i
$217$	−0.807906	−	3.01515i	−0.0548442	−	0.204681i
$218$	−5.64000	−	2.00698i	−0.381989	−	0.135930i
$219$	−3.21655	+	1.85708i	−0.217354	+	0.125490i
$220$	1.61483	−	15.9452i	0.108872	−	1.07503i
$221$	3.91864	−	9.11617i	0.263596	−	0.613220i
$222$	−16.3407	+	13.9130i	−1.09672	+	0.933776i
$223$	−7.01040	+	26.1632i	−0.469451	+	1.75201i	0.172244	+	0.985054i	$0.444898\pi$
$223$	−7.01040	+	26.1632i	−0.469451	+	1.75201i	−0.641695	+	0.766960i	$0.721768\pi$
$224$	−3.99510	+	0.494800i	−0.266934	+	0.0330602i
$225$	1.29105	+	0.553713i	0.0860698	+	0.0369142i
$226$	−24.9010	−	1.99822i	−1.65639	−	0.132919i
$227$	−2.47230	−	9.22673i	−0.164092	−	0.612400i	−0.998154	−	0.0607295i	$-0.980657\pi$
$227$	−2.47230	−	9.22673i	−0.164092	−	0.612400i	0.834062	−	0.551670i	$-0.186009\pi$
$228$	−1.36604	−	13.3924i	−0.0904681	−	0.886933i
$229$	−12.7153			−0.840250			−0.420125	−	0.907466i	$-0.638014\pi$
$229$	−12.7153			−0.840250			−0.420125	+	0.907466i	$0.638014\pi$
$230$	10.9971	+	6.65874i	0.725128	+	0.439065i
$231$	−4.00055	+	2.30972i	−0.263217	+	0.151968i
$232$	−11.5977	−	6.36639i	−0.761429	−	0.417974i
$233$	−13.5435	−	13.5435i	−0.887263	−	0.887263i	0.106996	−	0.994259i	$-0.465877\pi$
$233$	−13.5435	−	13.5435i	−0.887263	−	0.887263i	−0.994259	+	0.106996i	$0.965877\pi$
$234$	−0.0537784	−	1.43159i	−0.00351560	−	0.0935859i
$235$	18.3004	−	20.6072i	1.19378	−	1.34427i
$236$	−3.43887	−	9.04145i	−0.223852	−	0.588548i
$237$	4.28350	+	1.14776i	0.278243	+	0.0745550i
$238$	2.72409	−	0.500556i	0.176577	−	0.0324462i
$239$			23.0585i			1.49153i	0.666208	+	0.745766i	$0.267917\pi$
$239$			23.0585i			1.49153i	−0.666208	+	0.745766i	$0.732083\pi$
$240$	0.0116681	+	16.2011i	0.000753172	+	1.04578i
$241$	−8.05311	−	4.64947i	−0.518747	−	0.299498i	0.217675	−	0.976021i	$-0.430153\pi$
$241$	−8.05311	−	4.64947i	−0.518747	−	0.299498i	−0.736422	+	0.676523i	$0.763486\pi$
$242$	1.98437	−	1.68955i	0.127560	−	0.108608i
$243$	0.753282	+	2.81129i	0.0483231	+	0.180344i
$244$	−11.8664	+	4.51334i	−0.759669	+	0.288937i
$245$	−12.1230	+	7.99156i	−0.774511	+	0.510562i
$246$	−20.9779	−	1.68340i	−1.33750	−	0.107330i
$247$	4.96248	+	12.4453i	0.315755	+	0.791877i
$248$	−6.43362	−	10.6081i	−0.408535	−	0.673613i
$249$	−11.2412	−	19.4704i	−0.712385	−	1.23389i
$250$	15.5987	+	2.58478i	0.986547	+	0.163476i
$251$	−0.317270	−	0.183176i	−0.0200259	−	0.0115620i	0.489954	−	0.871749i	$-0.337014\pi$
$251$	−0.317270	−	0.183176i	−0.0200259	−	0.0115620i	−0.509980	+	0.860187i	$0.670347\pi$
$252$	0.324227	−	0.234047i	0.0204244	−	0.0147436i
$253$	3.77078	+	14.0727i	0.237067	+	0.884746i
$254$	4.78696	−	6.94221i	0.300361	−	0.435593i
$255$	−0.659724	−	11.1271i	−0.0413135	−	0.696806i
$256$	−14.6955	+	6.32779i	−0.918472	+	0.395487i
$257$	−29.1321	−	7.80593i	−1.81721	−	0.486920i	−0.820774	−	0.571253i	$-0.806457\pi$
$257$	−29.1321	−	7.80593i	−1.81721	−	0.486920i	−0.996438	+	0.0843329i	$0.973124\pi$
$258$	4.26171	−	11.9762i	0.265322	−	0.745607i
$259$	5.96211			0.370467
$260$	−4.43274	−	15.5033i	−0.274907	−	0.961471i
$261$	1.31419			0.0813466
$262$	−6.15506	+	17.2969i	−0.380261	+	1.06861i
$263$	21.6277	+	5.79513i	1.33362	+	0.357343i	0.854065	−	0.520167i	$-0.174130\pi$
$263$	21.6277	+	5.79513i	1.33362	+	0.357343i	0.479558	+	0.877510i	$0.340797\pi$
$264$	−12.6995	+	13.2596i	−0.781600	+	0.816074i
$265$	−9.22822	−	8.19519i	−0.566885	−	0.503426i
$266$	−2.12298	+	3.07882i	−0.130168	+	0.188774i
$267$	0.826460	+	3.08439i	0.0505785	+	0.188762i
$268$	4.85472	+	6.72527i	0.296549	+	0.410811i
$269$	−8.81223	−	5.08775i	−0.537291	−	0.310205i	0.206689	−	0.978407i	$-0.433731\pi$
$269$	−8.81223	−	5.08775i	−0.537291	−	0.310205i	−0.743980	+	0.668201i	$0.767064\pi$
$270$	7.50434	+	13.6474i	0.456699	+	0.830557i
$271$	1.65122	+	2.86000i	0.100305	+	0.173733i	0.911810	−	0.410612i	$-0.134685\pi$
$271$	1.65122	+	2.86000i	0.100305	+	0.173733i	−0.811506	+	0.584345i	$0.801352\pi$
$272$	9.83894	−	4.93733i	0.596573	−	0.299369i
$273$	−2.87799	+	3.64931i	−0.174184	+	0.220867i
$274$	−24.6542	−	1.97841i	−1.48941	−	0.119520i
$275$	10.7301	+	14.3505i	0.647051	+	0.865366i
$276$	−5.23569	−	13.7656i	−0.315151	−	0.828593i
$277$	1.58401	+	5.91160i	0.0951738	+	0.355193i	0.997046	−	0.0768101i	$-0.0244735\pi$
$277$	1.58401	+	5.91160i	0.0951738	+	0.355193i	−0.901872	+	0.432003i	$0.857807\pi$
$278$	−10.7317	+	9.13732i	−0.643647	+	0.548020i
$279$	1.06727	+	0.616189i	0.0638958	+	0.0368903i
$280$	2.91530	−	3.42901i	0.174223	−	0.204922i
$281$		−	9.72486i		−	0.580136i	−0.957006	−	0.290068i	$-0.906322\pi$
$281$		−	9.72486i		−	0.580136i	0.957006	−	0.290068i	$-0.0936780\pi$
$282$	−31.0528	+	5.70600i	−1.84917	+	0.339787i
$283$	−28.7812	−	7.71190i	−1.71086	−	0.458425i	−0.735228	−	0.677819i	$-0.762925\pi$
$283$	−28.7812	−	7.71190i	−1.71086	−	0.458425i	−0.975636	+	0.219395i	$0.929592\pi$
$284$	20.6444	−	7.85200i	1.22502	−	0.465931i
$285$	11.2538	+	9.99400i	0.666617	+	0.591994i
$286$	8.53616	−	16.1570i	0.504754	−	0.955383i
$287$	4.13412	+	4.13412i	0.244030	+	0.244030i
$288$	0.977169	−	1.25343i	0.0575803	−	0.0738593i
$289$	8.16326	−	4.71306i	0.480192	−	0.277239i
$290$	14.3645	−	3.52963i	0.843515	−	0.207267i
$291$	11.8678			0.695704
$292$	4.07983	−	0.416147i	0.238754	−	0.0243531i
$293$	−5.90329	−	22.0314i	−0.344874	−	1.28709i	−0.892759	−	0.450534i	$-0.851234\pi$
$293$	−5.90329	−	22.0314i	−0.344874	−	1.28709i	0.547885	−	0.836554i	$-0.315433\pi$
$294$	16.5808	+	1.33055i	0.967011	+	0.0775993i
$295$	9.66981	+	4.84374i	0.562998	+	0.282013i
$296$	22.7515	−	6.62550i	1.32241	−	0.385099i
$297$	−4.56818	+	17.0487i	−0.265073	+	0.989266i
$298$	10.6194	−	9.04164i	0.615164	−	0.523768i
$299$	8.76807	+	11.7464i	0.507071	+	0.679315i
$300$	−12.2629	−	13.3310i	−0.708000	−	0.769667i
$301$	−3.05833	+	1.76573i	−0.176279	+	0.101775i
$302$	15.8839	+	5.65224i	0.914016	+	0.325250i
$303$	−8.08440	−	30.1714i	−0.464437	−	1.73330i
$304$	−4.67994	+	14.1080i	−0.268413	+	0.809151i
$305$	6.35715	−	12.6911i	0.364009	−	0.726691i
$306$	−0.620738	+	0.900216i	−0.0354852	+	0.0514619i
$307$	16.8270	−	16.8270i	0.960369	−	0.960369i	−0.0388750	−	0.999244i	$-0.512377\pi$
$307$	16.8270	−	16.8270i	0.960369	−	0.960369i	0.999244	+	0.0388750i	$0.0123774\pi$
$308$	5.07425	−	0.517579i	0.289132	−	0.0294918i
$309$	−3.42394	+	1.97681i	−0.194781	+	0.112457i
$310$	13.3205	+	3.86868i	0.756555	+	0.219726i
$311$			31.8873i			1.80816i	0.427361	+	0.904081i	$0.359443\pi$
$311$			31.8873i			1.80816i	−0.427361	+	0.904081i	$0.640557\pi$
$312$	−6.92713	+	17.1241i	−0.392171	+	0.969460i
$313$	−0.455529	−	0.455529i	−0.0257480	−	0.0257480i	0.694116	−	0.719864i	$-0.255796\pi$
$313$	−0.455529	−	0.455529i	−0.0257480	−	0.0257480i	−0.719864	+	0.694116i	$0.755796\pi$
$314$	−10.0386	+	4.76929i	−0.566513	+	0.269146i
$315$	−0.0899499	+	0.437934i	−0.00506810	+	0.0246748i
$316$	−3.79581	−	3.09313i	−0.213531	−	0.174002i
$317$	18.8102	+	18.8102i	1.05649	+	1.05649i	0.998306	+	0.0581804i	$0.0185298\pi$
$317$	18.8102	+	18.8102i	1.05649	+	1.05649i	0.0581804	+	0.998306i	$0.481470\pi$
$318$	2.55523	+	13.9059i	0.143290	+	0.779804i
$319$	14.5172	+	8.38152i	0.812808	+	0.469275i
$320$	7.31431	−	16.3249i	0.408882	−	0.912587i
$321$	5.95985	−	10.3228i	0.332646	−	0.576160i
$322$	−1.37167	+	3.85467i	−0.0764404	+	0.214812i
$323$	2.64686	−	9.87821i	0.147275	−	0.549638i
$324$	3.11403	−	19.2780i	0.173002	−	1.07100i
$325$	15.3754	+	9.41264i	0.852872	+	0.522120i
$326$	11.6359	+	0.933737i	0.644451	+	0.0517149i
$327$	−7.40625	−	1.98450i	−0.409566	−	0.109743i
$328$	20.3700	+	11.1818i	1.12475	+	0.617411i
$329$	7.59600	+	4.38555i	0.418781	+	0.241783i
$330$	0.428053	−	20.5228i	0.0235635	−	1.12974i
$331$	14.4238	−	24.9827i	0.792801	−	1.37317i	−0.131425	−	0.991326i	$-0.541955\pi$
$331$	14.4238	−	24.9827i	0.792801	−	1.37317i	0.924226	−	0.381846i	$-0.124712\pi$
$332$	2.51902	+	24.6960i	0.138249	+	1.35537i
$333$	−1.66443	+	1.66443i	−0.0912100	+	0.0912100i
$334$	−7.79474	−	5.37481i	−0.426509	−	0.294097i
$335$	−9.08382	−	1.86578i	−0.496302	−	0.101939i
$336$	−5.04988	+	1.04102i	−0.275494	+	0.0567922i
$337$	10.8251	−	10.8251i	0.589679	−	0.589679i	−0.347865	−	0.937545i	$-0.613093\pi$
$337$	10.8251	−	10.8251i	0.589679	−	0.589679i	0.937545	+	0.347865i	$0.113093\pi$
$338$	1.95663	−	18.2804i	0.106427	−	0.994321i
$339$	−31.9960			−1.73778
$340$	−4.36707	+	11.5068i	−0.236838	+	0.624043i
$341$	7.85972	+	13.6134i	0.425628	+	0.737209i
$342$	−0.266839	−	1.45217i	−0.0144290	−	0.0785244i
$343$	−6.79001	−	6.79001i	−0.366626	−	0.366626i
$344$	−9.70845	+	10.1367i	−0.523445	+	0.546533i
$345$	14.7223	+	7.37460i	0.792622	+	0.397035i
$346$	21.1331	+	1.69585i	1.13612	+	0.0911697i
$347$	7.96013	−	2.13291i	0.427322	−	0.114501i	−0.0387466	−	0.999249i	$-0.512337\pi$
$347$	7.96013	−	2.13291i	0.427322	−	0.114501i	0.466069	+	0.884748i	$0.345670\pi$
$348$	−15.4592	−	6.93982i	−0.828699	−	0.372013i
$349$	−6.27891	−	10.8754i	−0.336102	−	0.582146i	0.647594	−	0.761986i	$-0.275775\pi$
$349$	−6.27891	−	10.8754i	−0.336102	−	0.582146i	−0.983696	+	0.179840i	$0.942442\pi$
$350$	0.193012	+	5.02833i	0.0103169	+	0.268775i
$351$	2.08390	+	17.6351i	0.111231	+	0.941290i
$352$	18.7883	−	7.61394i	1.00142	−	0.405824i
$353$	31.6275	+	8.47456i	1.68336	+	0.451056i	0.968663	−	0.248377i	$-0.0798972\pi$
$353$	31.6275	+	8.47456i	1.68336	+	0.451056i	0.714699	+	0.699432i	$0.246564\pi$
$354$	−5.31674	−	11.1910i	−0.282582	−	0.594793i
$355$	−11.0597	+	22.0791i	−0.586990	+	1.17184i
$356$	0.562243	−	3.48066i	0.0297988	−	0.184475i
$357$	3.42658	−	0.918150i	0.181354	−	0.0485937i
$358$	−0.582770	−	3.17151i	−0.0308003	−	0.167619i
$359$		−	23.6811i		−	1.24984i	−0.780688	−	0.624922i	$-0.785131\pi$
$359$		−	23.6811i		−	1.24984i	0.780688	−	0.624922i	$-0.214869\pi$
$360$	0.143410	+	1.77112i	0.00755839	+	0.0933464i
$361$	−2.59568	−	4.49585i	−0.136615	−	0.236623i
$362$	2.60583	+	0.927278i	0.136959	+	0.0487366i
$363$	2.36036	−	2.36036i	0.123887	−	0.123887i
$364$	4.54924	−	2.37458i	0.238445	−	0.124462i
$365$	−3.04455	+	3.42833i	−0.159359	+	0.179447i
$366$	−14.6875	+	6.97794i	−0.767730	+	0.364743i
$367$	−2.43490	+	9.08718i	−0.127101	+	0.474347i	−0.999906	−	0.0137223i	$-0.995632\pi$
$367$	−2.43490	+	9.08718i	−0.127101	+	0.474347i	0.872805	+	0.488069i	$0.162299\pi$
$368$	−0.950768	+	16.2338i	−0.0495622	+	0.846246i
$369$	−2.30822			−0.120161
$370$	−13.7224	+	22.6629i	−0.713393	+	1.17819i
$371$	1.96392	−	3.40161i	0.101962	−	0.176603i
$372$	−9.30066	−	12.8843i	−0.482217	−	0.668018i
$373$	−7.70602	+	2.06482i	−0.399002	+	0.106912i	−0.452740	−	0.891643i	$-0.649553\pi$
$373$	−7.70602	+	2.06482i	−0.399002	+	0.106912i	0.0537373	+	0.998555i	$0.482887\pi$
$374$	−12.5983	+	5.98534i	−0.651441	+	0.309495i
$375$	20.1798	+	1.70190i	1.04208	+	0.0878857i
$376$	33.8600	+	8.29419i	1.74620	+	0.427740i
$377$	16.6903	+	2.42316i	0.859594	+	0.124799i
$378$	−3.77402	+	3.21331i	−0.194115	+	0.165275i
$379$	−14.2700	+	8.23880i	−0.733001	+	0.423199i	−0.819519	−	0.573052i	$-0.805759\pi$
$379$	−14.2700	+	8.23880i	−0.733001	+	0.423199i	0.0865178	+	0.996250i	$0.472426\pi$
$380$	−6.81683	−	15.1560i	−0.349696	−	0.777485i
$381$	5.40031	−	9.35361i	0.276666	−	0.479200i
$382$	−24.5396	−	28.8217i	−1.25556	−	1.47465i
$383$	7.92322	−	2.12302i	0.404858	−	0.108481i	−0.0506428	−	0.998717i	$-0.516127\pi$
$383$	7.92322	−	2.12302i	0.404858	−	0.108481i	0.455500	+	0.890236i	$0.349460\pi$
$384$	−18.1136	+	9.58432i	−0.924357	+	0.489098i
$385$	−3.78663	+	4.26395i	−0.192985	+	0.217311i
$386$	−6.26129	−	4.31743i	−0.318691	−	0.219752i
$387$	0.360852	−	1.34672i	0.0183431	−	0.0684575i
$388$	−11.9546	−	5.36657i	−0.606902	−	0.272446i
$389$			16.5961i			0.841455i	0.907187	+	0.420727i	$0.138225\pi$
$389$			16.5961i			0.841455i	−0.907187	+	0.420727i	$0.861775\pi$
$390$	−7.24764	−	19.3390i	−0.366999	−	0.979267i
$391$		−	11.1883i		−	0.565815i
$392$	−16.1003	−	8.83802i	−0.813190	−	0.446388i
$393$	−6.08612	+	22.7137i	−0.307004	+	1.14575i
$394$	−5.00538	+	7.25898i	−0.252168	+	0.365702i
$395$	5.46484	−	0.324010i	0.274966	−	0.0163027i
$396$	−1.27207	+	1.56105i	−0.0639241	+	0.0784460i
$397$	−28.5557	+	7.65149i	−1.43317	+	0.384017i	−0.890137	−	0.455693i	$-0.849391\pi$
$397$	−28.5557	+	7.65149i	−1.43317	+	0.384017i	−0.543034	+	0.839710i	$0.682725\pi$
$398$	−19.6151	+	16.7009i	−0.983216	+	0.837139i
$399$	−2.39499	+	4.14825i	−0.119900	+	0.207672i
$400$	6.32436	+	18.9737i	0.316218	+	0.948687i
$401$	−7.55229	+	4.36032i	−0.377144	+	0.217744i	−0.676575	−	0.736374i	$-0.736536\pi$
$401$	−7.55229	+	4.36032i	−0.377144	+	0.217744i	0.299431	+	0.954118i	$0.403203\pi$
$402$	6.88707	+	8.08883i	0.343496	+	0.403434i
$403$	12.4182	+	9.79349i	0.618595	+	0.487848i
$404$	−5.49984	+	34.0477i	−0.273627	+	1.69394i
$405$	12.0163	+	18.2285i	0.597097	+	0.905783i
$406$	2.02013	+	4.25208i	0.100257	+	0.211027i
$407$	−29.0012	+	7.77085i	−1.43754	+	0.385187i
$408$	12.0556	−	7.31153i	0.596842	−	0.361975i
$409$	16.5648	−	28.6910i	0.819074	−	1.41868i	−0.0872905	−	0.996183i	$-0.527821\pi$
$409$	16.5648	−	28.6910i	0.819074	−	1.41868i	0.906365	−	0.422496i	$-0.138846\pi$
$410$	−25.2296	+	6.19937i	−1.24600	+	0.306165i
$411$	−31.6789			−1.56260
$412$	4.34288	−	0.442979i	0.213959	−	0.0218240i
$413$	−0.890843	+	3.32467i	−0.0438355	+	0.163596i
$414$	−0.693172	−	1.45902i	−0.0340675	−	0.0717071i
$415$	−20.7523	−	18.4293i	−1.01869	−	0.904657i
$416$	14.7212	−	14.1169i	0.721766	−	0.692137i
$417$	−12.7652	+	12.7652i	−0.625113	+	0.625113i
$418$	6.31386	−	17.7432i	0.308821	−	0.867847i
$419$	1.33059	+	2.30465i	0.0650036	+	0.112589i	0.896696	−	0.442648i	$-0.145961\pi$
$419$	1.33059	+	2.30465i	0.0650036	+	0.112589i	−0.831692	+	0.555237i	$0.812627\pi$
$420$	3.37068	−	4.67652i	0.164472	−	0.228191i
$421$		−	13.4993i		−	0.657915i	−0.944345	−	0.328957i	$-0.893303\pi$
$421$		−	13.4993i		−	0.657915i	0.944345	−	0.328957i	$-0.106697\pi$
$422$	31.3859	−	5.76721i	1.52784	−	0.280744i
$423$	−3.34486	+	0.896252i	−0.162633	+	0.0435773i
$424$	3.71426	−	15.1630i	0.180381	−	0.736383i
$425$	−5.10706	−	12.7775i	−0.247729	−	0.619800i
$426$	25.5524	−	12.1398i	1.23802	−	0.588173i
$427$	4.36345	+	1.16918i	0.211162	+	0.0565808i
$428$	−10.6713	+	7.70322i	−0.515818	+	0.372349i
$429$	9.24287	−	21.5023i	0.446250	−	1.03814i
$430$	0.327236	−	15.6892i	0.0157807	−	0.756600i
$431$	−11.4235	−	19.7861i	−0.550250	−	0.953061i	−0.998256	−	0.0590308i	$-0.981199\pi$
$431$	−11.4235	−	19.7861i	−0.550250	−	0.953061i	0.448006	−	0.894031i	$-0.352134\pi$
$432$	−10.8309	+	16.4560i	−0.521102	+	0.791740i
$433$	−9.94811	+	2.66559i	−0.478076	+	0.128100i	−0.489807	−	0.871831i	$-0.662933\pi$
$433$	−9.94811	+	2.66559i	−0.478076	+	0.128100i	0.0117307	+	0.999931i	$0.496266\pi$
$434$	−0.353112	+	4.40034i	−0.0169499	+	0.211223i
$435$	17.9777	−	5.97798i	0.861965	−	0.286622i
$436$	6.56302	+	5.34807i	0.314312	+	0.256126i
$437$	10.6823	+	10.6823i	0.511004	+	0.511004i
$438$	5.16611	−	0.949281i	0.246846	−	0.0453584i
$439$	5.44164	+	9.42520i	0.259716	+	0.449840i	0.966166	−	0.257922i	$-0.0830379\pi$
$439$	5.44164	+	9.42520i	0.259716	+	0.449840i	−0.706450	+	0.707763i	$0.749705\pi$
$440$	−9.71149	+	20.4793i	−0.462977	+	0.976312i
$441$	1.82441			0.0868765
$442$	−9.54324	+	10.2882i	−0.453925	+	0.489360i
$443$	0.0880325	−	0.0880325i	0.00418255	−	0.00418255i	−0.705012	−	0.709195i	$-0.749059\pi$
$443$	0.0880325	−	0.0880325i	0.00418255	−	0.00418255i	0.709195	+	0.705012i	$0.249059\pi$
$444$	28.3683	−	10.7897i	1.34630	−	0.512059i
$445$	2.16957	+	3.29118i	0.102847	+	0.156017i
$446$	21.7449	−	31.5352i	1.02965	−	1.49324i
$447$	12.6315	−	12.6315i	0.597450	−	0.597450i
$448$	5.55755	+	1.23490i	0.262569	+	0.0583436i
$449$	−16.8408	+	29.1691i	−0.794767	+	1.37658i	0.128220	+	0.991746i	$0.459074\pi$
$449$	−16.8408	+	29.1691i	−0.794767	+	1.37658i	−0.922987	+	0.384831i	$0.874260\pi$
$450$	−1.45763	−	1.34986i	−0.0687132	−	0.0636331i
$451$	−25.4977	−	14.7211i	−1.20064	−	0.693191i
$452$	32.2299	+	14.4684i	1.51597	+	0.680537i
$453$	20.8582	+	5.58893i	0.980003	+	0.262591i
$454$	−1.08057	+	13.4656i	−0.0507135	+	0.631971i
$455$	−1.94984	+	5.39591i	−0.0914101	+	0.252964i
$456$	−4.52953	+	18.4913i	−0.212115	+	0.865934i
$457$	8.39516	−	31.3312i	0.392709	−	1.46561i	−0.432938	−	0.901424i	$-0.642523\pi$
$457$	8.39516	−	31.3312i	0.392709	−	1.46561i	0.825647	−	0.564187i	$-0.190810\pi$
$458$	16.9415	+	6.02857i	0.791623	+	0.281697i
$459$	6.77713	−	11.7383i	0.316329	−	0.547898i
$460$	−11.4952	−	14.0859i	−0.535966	−	0.656757i
$461$	13.8172	+	7.97734i	0.643529	+	0.371542i	0.785973	−	0.618261i	$-0.212163\pi$
$461$	13.8172	+	7.97734i	0.643529	+	0.371542i	−0.142443	+	0.989803i	$0.545496\pi$
$462$	6.42530	−	1.18066i	0.298932	−	0.0549293i
$463$	−2.71306	−	2.71306i	−0.126087	−	0.126087i	0.641248	−	0.767334i	$-0.278417\pi$
$463$	−2.71306	−	2.71306i	−0.126087	−	0.126087i	−0.767334	+	0.641248i	$0.778417\pi$
$464$	12.4341	+	13.9811i	0.577237	+	0.649057i
$465$	17.4028	+	3.57446i	0.807034	+	0.165762i
$466$	11.6237	+	24.4662i	0.538457	+	1.13337i
$467$	−9.90973	−	9.90973i	−0.458568	−	0.458568i	0.439618	−	0.898185i	$-0.355114\pi$
$467$	−9.90973	−	9.90973i	−0.458568	−	0.458568i	−0.898185	+	0.439618i	$0.855114\pi$
$468$	−0.607092	+	1.93290i	−0.0280628	+	0.0893485i
$469$		−	2.95131i		−	0.136279i
$470$	−34.1532	+	18.7798i	−1.57537	+	0.866249i
$471$	−12.3278	+	7.11745i	−0.568035	+	0.327955i
$472$	0.295121	+	13.6770i	0.0135841	+	0.629535i
$473$	12.5751	−	12.5751i	0.578203	−	0.578203i
$474$	−5.16303	−	3.56013i	−0.237146	−	0.163522i
$475$	17.0758	+	7.32356i	0.783490	+	0.336028i
$476$	−3.86682	−	0.624620i	−0.177235	−	0.0286294i
$477$	0.401355	+	1.49788i	0.0183768	+	0.0685831i
$478$	10.9325	−	30.7225i	0.500042	−	1.40521i
$479$	−25.6642	+	14.8173i	−1.17263	+	0.677018i	−0.954298	−	0.298857i	$-0.903395\pi$
$479$	−25.6642	+	14.8173i	−1.17263	+	0.677018i	−0.218331	+	0.975875i	$0.570061\pi$
$480$	7.66573	−	21.5914i	0.349891	−	0.985509i
$481$	−24.2072	+	18.0693i	−1.10375	+	0.823889i
$482$	8.52532	+	10.0130i	0.388318	+	0.456077i
$483$	−1.35631	+	5.06182i	−0.0617142	+	0.230321i
$484$	−3.44496	+	1.31028i	−0.156589	+	0.0595580i
$485$	13.9022	−	4.62277i	0.631265	−	0.209909i
$486$	0.329237	−	4.10282i	0.0149345	−	0.186108i
$487$	−8.26087	−	30.8300i	−0.374336	−	1.39704i	−0.854313	−	0.519759i	$-0.826022\pi$
$487$	−8.26087	−	30.8300i	−0.374336	−	1.39704i	0.479978	−	0.877281i	$-0.340645\pi$
$488$	17.9503	−	0.387331i	0.812573	−	0.0175337i
$489$	14.9513			0.676119
$490$	19.9413	−	4.89995i	0.900856	−	0.221357i
$491$	5.97141	−	3.44759i	0.269486	−	0.155588i	−0.359168	−	0.933273i	$-0.616940\pi$
$491$	5.97141	−	3.44759i	0.269486	−	0.155588i	0.628654	+	0.777685i	$0.283606\pi$
$492$	27.1522	+	12.1889i	1.22411	+	0.549520i
$493$	−9.10261	−	9.10261i	−0.409961	−	0.409961i
$494$	−0.711288	−	18.9346i	−0.0320024	−	0.851908i
$495$	−0.133251	−	2.24746i	−0.00598921	−	0.101016i
$496$	3.54247	+	17.1842i	0.159061	+	0.771593i
$497$	−7.59124	−	2.03407i	−0.340514	−	0.0912404i
$498$	5.74619	+	31.2715i	0.257493	+	1.40131i
$499$			8.77814i			0.392964i	0.980507	+	0.196482i	$0.0629517\pi$
$499$			8.77814i			0.392964i	−0.980507	+	0.196482i	$0.937048\pi$
$500$	−19.5577	−	10.8395i	−0.874648	−	0.484759i
$501$	−10.5023	−	6.06348i	−0.469206	−	0.270896i
$502$	0.335874	+	0.394482i	0.0149908	+	0.0176066i
$503$	1.63817	+	6.11375i	0.0730425	+	0.272598i	0.992782	−	0.119930i	$-0.0382671\pi$
$503$	1.63817	+	6.11375i	0.0730425	+	0.272598i	−0.919740	+	0.392529i	$0.871600\pi$
$504$	−0.542957	+	0.158115i	−0.0241852	+	0.00704300i
$505$	−21.2226	−	32.1942i	−0.944394	−	1.43262i
$506$	1.64810	−	20.5379i	0.0732668	−	0.913021i
$507$	0.625200	−	23.5391i	0.0277661	−	1.04541i
$508$	−9.66944	+	6.98001i	−0.429012	+	0.309688i
$509$	−5.47813	−	9.48840i	−0.242814	−	0.420566i	0.718701	−	0.695319i	$-0.244737\pi$
$509$	−5.47813	−	9.48840i	−0.242814	−	0.420566i	−0.961515	+	0.274754i	$0.911404\pi$
$510$	−4.39659	+	15.1382i	−0.194684	+	0.670331i
$511$	−1.26371	−	0.729605i	−0.0559034	−	0.0322758i
$512$	22.5800	−	1.46351i	0.997906	−	0.0646786i
$513$	4.73683	+	17.6781i	0.209136	+	0.780508i
$514$	35.1138	+	24.2125i	1.54880	+	1.06797i
$515$	−3.24086	+	3.64938i	−0.142809	+	0.160811i
$516$	−11.3563	+	13.9362i	−0.499935	+	0.613507i
$517$	−42.6649	−	11.4320i	−1.87640	−	0.502780i
$518$	−7.94374	−	2.82676i	−0.349028	−	0.124201i
$519$	27.1545			1.19195
$520$	−1.44435	+	22.7577i	−0.0633390	+	0.997992i
$521$	−14.7176			−0.644791			−0.322395	−	0.946605i	$-0.604488\pi$
$521$	−14.7176			−0.644791			−0.322395	+	0.946605i	$0.604488\pi$
$522$	−1.75099	−	0.623086i	−0.0766389	−	0.0272717i
$523$	−37.8415	−	10.1396i	−1.65469	−	0.443374i	−0.693773	−	0.720194i	$-0.744053\pi$
$523$	−37.8415	−	10.1396i	−1.65469	−	0.443374i	−0.960922	+	0.276820i	$0.910719\pi$
$524$	16.4016	−	20.1277i	0.716509	−	0.879281i
$525$	0.761579	+	6.39993i	0.0332380	+	0.279316i
$526$	−26.0686	−	17.9754i	−1.13664	−	0.783765i
$527$	−3.12436	−	11.6603i	−0.136099	−	0.507930i
$528$	23.2071	−	11.6457i	1.00996	−	0.506812i
$529$	−5.60531	−	3.23623i	−0.243709	−	0.140706i
$530$	8.40990	+	15.2943i	0.365303	+	0.664342i
$531$	−0.679445	−	1.17683i	−0.0294854	−	0.0510702i
$532$	4.28832	−	3.09558i	0.185922	−	0.134210i
$533$	−29.3145	−	4.25599i	−1.26975	−	0.184348i
$534$	0.361221	−	4.50139i	0.0156316	−	0.194794i
$535$	2.96053	−	14.4138i	0.127995	−	0.623161i
$536$	−3.27970	−	11.2623i	−0.141661	−	0.486456i
$537$	−1.06895	−	3.98938i	−0.0461287	−	0.172155i
$538$	9.32895	+	10.9568i	0.402200	+	0.472382i
$539$	20.1533	+	11.6355i	0.868062	+	0.501176i
$540$	−3.52803	−	21.7414i	−0.151822	−	0.935601i
$541$		−	4.43940i		−	0.190865i	−0.995436	−	0.0954324i	$-0.969577\pi$
$541$		−	4.43940i		−	0.190865i	0.995436	−	0.0954324i	$-0.0304234\pi$
$542$	−0.844056	−	4.59346i	−0.0362553	−	0.197306i
$543$	3.42189	+	0.916891i	0.146847	+	0.0393476i
$544$	−15.4500	+	1.91351i	−0.662413	+	0.0820410i
$545$	−9.44881	+	0.560219i	−0.404743	+	0.0239971i
$546$	5.56477	−	3.49772i	0.238150	−	0.149689i
$547$	5.74779	+	5.74779i	0.245758	+	0.245758i	0.819227	−	0.573469i	$-0.194403\pi$
$547$	5.74779	+	5.74779i	0.245758	+	0.245758i	−0.573469	+	0.819227i	$0.694403\pi$
$548$	31.9105	+	14.3250i	1.36315	+	0.611934i
$549$	−1.54453	+	0.891736i	−0.0659190	+	0.0380583i
$550$	−7.49265	−	24.2075i	−0.319488	−	1.03221i
$551$	17.3819			0.740494
$552$	0.449323	+	20.8232i	0.0191244	+	0.886296i
$553$	0.450930	+	1.68289i	0.0191755	+	0.0715639i
$554$	0.692322	−	8.62744i	0.0294140	−	0.366545i
$555$	−15.1976	+	30.3398i	−0.645103	+	1.28785i
$556$	18.6308	−	7.08616i	0.790124	−	0.300520i
$557$	4.30543	−	16.0681i	0.182427	−	0.680826i	−0.812740	−	0.582627i	$-0.802025\pi$
$557$	4.30543	−	16.0681i	0.182427	−	0.680826i	0.995167	−	0.0981994i	$-0.0313083\pi$
$558$	−1.12985	−	1.32701i	−0.0478305	−	0.0561767i
$559$	7.06595	−	16.4380i	0.298858	−	0.695253i
$560$	−5.51002	+	3.18651i	−0.232841	+	0.134654i
$561$	−15.4711	+	8.93223i	−0.653190	+	0.377119i
$562$	−4.61075	+	12.9571i	−0.194493	+	0.546563i
$563$	−7.35535	−	27.4505i	−0.309991	−	1.15690i	−0.928563	−	0.371174i	$-0.878955\pi$
$563$	−7.35535	−	27.4505i	−0.309991	−	1.15690i	0.618572	−	0.785728i	$-0.287711\pi$
$564$	44.0791	+	7.12024i	1.85607	+	0.299816i
$565$	−37.4807	+	12.4631i	−1.57682	+	0.524328i
$566$	34.6908	+	23.9208i	1.45816	+	1.00547i
$567$	−4.91324	+	4.91324i	−0.206337	+	0.206337i
$568$	−31.2288	+	0.673853i	−1.31033	+	0.0282742i
$569$	−8.44431	+	4.87532i	−0.354004	+	0.204384i	−0.666447	−	0.745552i	$-0.732186\pi$
$569$	−8.44431	+	4.87532i	−0.354004	+	0.204384i	0.312443	+	0.949936i	$0.398853\pi$
$570$	−10.2558	−	18.6514i	−0.429570	−	0.781219i
$571$			22.0827i			0.924133i	0.886845	+	0.462066i	$0.152892\pi$
$571$			22.0827i			0.924133i	−0.886845	+	0.462066i	$0.847108\pi$
$572$	−19.0337	+	17.4799i	−0.795838	+	0.730873i
$573$	−34.2828	−	34.2828i	−1.43218	−	1.43218i
$574$	−3.54811	−	7.46826i	−0.148095	−	0.311719i
$575$	20.1185	+	2.90408i	0.839000	+	0.121108i
$576$	−1.89623	+	1.20674i	−0.0790095	+	0.0502809i
$577$	−3.67119	−	3.67119i	−0.152834	−	0.152834i	0.626549	−	0.779382i	$-0.284467\pi$
$577$	−3.67119	−	3.67119i	−0.152834	−	0.152834i	−0.779382	+	0.626549i	$0.784467\pi$
$578$	−13.1110	+	2.40918i	−0.545348	+	0.100209i
$579$	−8.43616	−	4.87062i	−0.350595	−	0.202416i
$580$	−20.8124	−	2.10774i	−0.864186	−	0.0875191i
$581$	4.41644	−	7.64950i	0.183225	−	0.317355i
$582$	−15.8123	−	5.62677i	−0.655442	−	0.233237i
$583$	−5.11944	+	19.1060i	−0.212025	+	0.791289i
$584$	−5.63314	−	1.37987i	−0.233101	−	0.0570993i
$585$	−0.962029	−	2.05069i	−0.0397750	−	0.0847858i
$586$	−2.58015	+	32.1528i	−0.106585	+	1.32822i
$587$	15.8784	+	4.25459i	0.655370	+	0.175606i	0.571156	−	0.820842i	$-0.306495\pi$
$587$	15.8784	+	4.25459i	0.655370	+	0.175606i	0.0842144	+	0.996448i	$0.473162\pi$
$588$	−21.4609	−	9.63407i	−0.885033	−	0.397302i
$589$	14.1160	+	8.14989i	0.581641	+	0.335810i
$590$	−10.5873	−	11.0383i	−0.435870	−	0.454440i
$591$	−5.64672	+	9.78040i	−0.232275	+	0.402312i
$592$	−33.4548	−	1.95935i	−1.37498	−	0.0805288i
$593$	−0.0852228	+	0.0852228i	−0.00349968	+	0.00349968i	−0.708854	−	0.705355i	$-0.750788\pi$
$593$	−0.0852228	+	0.0852228i	−0.00349968	+	0.00349968i	0.705355	+	0.708854i	$0.250788\pi$
$594$	14.1696	−	20.5493i	0.581387	−	0.843148i
$595$	3.65632	−	2.41027i	0.149895	−	0.0988113i
$596$	−18.4358	+	7.01196i	−0.755158	+	0.287221i
$597$	−23.3317	+	23.3317i	−0.954904	+	0.954904i
$598$	−6.11309	−	19.8077i	−0.249983	−	0.809998i
$599$	−17.4096			−0.711337			−0.355668	−	0.934612i	$-0.615747\pi$
$599$	−17.4096			−0.711337			−0.355668	+	0.934612i	$0.615747\pi$
$600$	10.0182	+	23.5760i	0.408993	+	0.962485i
$601$	12.6176	+	21.8544i	0.514684	+	0.891460i	0.999855	+	0.0170400i	$0.00542427\pi$
$601$	12.6176	+	21.8544i	0.514684	+	0.891460i	−0.485170	+	0.874420i	$0.661242\pi$
$602$	4.91199	−	0.902586i	0.200198	−	0.0367867i
$603$	0.823909	+	0.823909i	0.0335522	+	0.0335522i
$604$	−18.4834	−	15.0618i	−0.752079	−	0.612854i
$605$	1.84556	−	3.68438i	0.0750325	−	0.149791i
$606$	−3.53345	+	44.0324i	−0.143537	+	1.78870i
$607$	−4.63849	+	1.24288i	−0.188270	+	0.0504469i	−0.351722	−	0.936104i	$-0.614404\pi$
$607$	−4.63849	+	1.24288i	−0.188270	+	0.0504469i	0.163452	+	0.986551i	$0.447737\pi$
$608$	12.9243	−	16.5783i	0.524150	−	0.672337i
$609$	3.01475	+	5.22169i	0.122164	+	0.211594i
$610$	−14.4872	+	13.8952i	−0.586569	+	0.562600i
$611$	−44.1323	+	5.21504i	−1.78540	+	0.210978i
$612$	1.25386	−	0.905116i	0.0506844	−	0.0365871i
$613$	43.5858	+	11.6788i	1.76042	+	0.471702i	0.986799	−	0.161952i	$-0.0517791\pi$
$613$	43.5858	+	11.6788i	1.76042	+	0.471702i	0.773616	+	0.633654i	$0.218446\pi$
$614$	−30.3979	+	14.4418i	−1.22676	+	0.582823i
$615$	−31.5756	+	10.4996i	−1.27325	+	0.423384i
$616$	−7.00617	−	1.71620i	−0.282287	−	0.0691475i
$617$	6.38974	−	1.71213i	0.257241	−	0.0689276i	−0.127894	−	0.991788i	$-0.540822\pi$
$617$	6.38974	−	1.71213i	0.257241	−	0.0689276i	0.385135	+	0.922860i	$0.374155\pi$
$618$	5.49921	−	1.01049i	0.221211	−	0.0406478i
$619$			19.7884i			0.795363i	0.917524	+	0.397681i	$0.130185\pi$
$619$			19.7884i			0.795363i	−0.917524	+	0.397681i	$0.869815\pi$
$620$	−15.9137	−	11.4700i	−0.639108	−	0.460648i
$621$	10.0113	+	17.3401i	0.401740	+	0.695834i
$622$	15.1184	−	42.4857i	0.606193	−	1.70352i
$623$	−0.887092	+	0.887092i	−0.0355406	+	0.0355406i
$624$	17.3484	−	19.5313i	0.694491	−	0.781879i
$625$	24.3019	−	5.86682i	0.972074	−	0.234673i
$626$	0.390958	+	0.822909i	0.0156258	+	0.0328901i
$627$	6.24314	−	23.2997i	0.249327	−	0.930501i
$628$	15.6364	−	1.59493i	0.623960	−	0.0636446i
$629$	23.0569			0.919338
$630$	0.327480	−	0.540843i	0.0130471	−	0.0215477i
$631$	15.5705	−	26.9689i	0.619852	−	1.07361i	−0.369661	−	0.929167i	$-0.620526\pi$
$631$	15.5705	−	26.9689i	0.619852	−	1.07361i	0.989512	−	0.144448i	$-0.0461406\pi$
$632$	3.59090	+	5.92086i	0.142839	+	0.235519i
$633$	39.4798	−	10.5786i	1.56918	−	0.420460i
$634$	−16.1439	−	33.9805i	−0.641155	−	1.34954i
$635$	2.68258	−	13.0605i	0.106455	−	0.518291i
$636$	3.18855	−	19.7393i	0.126434	−	0.782714i
$637$	23.1700	+	3.36391i	0.918028	+	0.133283i
$638$	−15.3685	−	18.0502i	−0.608443	−	0.714614i
$639$	2.68707	−	1.55138i	0.106299	−	0.0613717i
$640$	−17.4853	+	18.2829i	−0.691168	+	0.722695i
$641$	−19.3417	+	33.5009i	−0.763952	+	1.32320i	0.176846	+	0.984238i	$0.443410\pi$
$641$	−19.3417	+	33.5009i	−0.763952	+	1.32320i	−0.940799	+	0.338966i	$0.889923\pi$
$642$	−12.8350	+	10.9281i	−0.506555	+	0.431296i
$643$	5.00637	−	1.34145i	0.197432	−	0.0529017i	−0.158748	−	0.987319i	$-0.550746\pi$
$643$	5.00637	−	1.34145i	0.197432	−	0.0529017i	0.356180	+	0.934417i	$0.384079\pi$
$644$	3.65515	−	4.48551i	0.144033	−	0.176754i
$645$	−1.18959	−	20.0640i	−0.0468402	−	0.790020i
$646$	−8.21005	+	11.9065i	−0.323020	+	0.468455i
$647$	11.0881	−	41.3813i	0.435917	−	1.62687i	−0.302944	−	0.953008i	$-0.597969\pi$
$647$	11.0881	−	41.3813i	0.435917	−	1.62687i	0.738861	−	0.673858i	$-0.235364\pi$
$648$	−13.2891	+	24.2090i	−0.522046	+	0.951018i
$649$		−	17.3332i		−	0.680386i
$650$	−16.0230	−	19.8309i	−0.628472	−	0.777832i
$651$			5.65412i			0.221602i
$652$	−15.0606	−	6.76088i	−0.589817	−	0.264776i
$653$	4.23732	−	15.8139i	0.165819	−	0.618846i	−0.832115	−	0.554603i	$-0.812870\pi$
$653$	4.23732	−	15.8139i	0.165819	−	0.618846i	0.997934	−	0.0642427i	$-0.0204632\pi$
$654$	8.92697	+	6.15554i	0.349072	+	0.240701i
$655$	1.71810	+	28.9779i	0.0671315	+	1.13226i
$656$	−21.8389	−	24.5561i	−0.852666	−	0.958756i
$657$	0.556469	−	0.149105i	0.0217099	−	0.00581716i
$658$	−8.04141	−	9.44460i	−0.313487	−	0.368189i
$659$	7.68433	−	13.3097i	0.299339	−	0.518471i	−0.676646	−	0.736309i	$-0.736567\pi$
$659$	7.68433	−	13.3097i	0.299339	−	0.518471i	0.975985	+	0.217838i	$0.0699005\pi$
$660$	−10.3006	+	27.1410i	−0.400950	+	1.05646i
$661$	3.61268	−	2.08578i	0.140517	−	0.0811274i	−0.428093	−	0.903734i	$-0.640815\pi$
$661$	3.61268	−	2.08578i	0.140517	−	0.0811274i	0.568610	+	0.822607i	$0.307481\pi$
$662$	−31.0626	+	26.4476i	−1.20728	+	1.02791i
$663$	−11.1299	+	14.1128i	−0.432249	+	0.548094i
$664$	8.35260	−	34.0985i	0.324144	−	1.32328i
$665$	−1.18970	+	5.79223i	−0.0461347	+	0.224613i
$666$	3.00677	−	1.42849i	0.116510	−	0.0553530i
$667$	18.3683	−	4.92178i	0.711225	−	0.190572i
$668$	7.83717	+	10.8569i	0.303229	+	0.420065i
$669$	24.5311	−	42.4891i	0.948426	−	1.64272i
$670$	11.2184	+	6.79274i	0.433405	+	0.262426i
$671$	−22.7488			−0.878209
$672$	7.22188	+	1.00723i	0.278590	+	0.0388547i
$673$	0.435638	−	1.62582i	0.0167926	−	0.0626709i	−0.957021	−	0.290018i	$-0.906339\pi$
$673$	0.435638	−	1.62582i	0.0167926	−	0.0626709i	0.973814	+	0.227347i	$0.0730053\pi$
$674$	−19.5554	+	9.29062i	−0.753245	+	0.357861i
$675$	19.3485	+	15.2333i	0.744724	+	0.586331i
$676$	−11.2740	+	23.4285i	−0.433617	+	0.901097i
$677$	−6.19154	+	6.19154i	−0.237960	+	0.237960i	−0.816005	−	0.578045i	$-0.803816\pi$
$677$	−6.19154	+	6.19154i	−0.237960	+	0.237960i	0.578045	+	0.816005i	$0.303816\pi$
$678$	42.6305	+	15.1699i	1.63721	+	0.582598i
$679$	2.33131	+	4.03794i	0.0894673	+	0.154962i
$680$	11.2742	−	13.2608i	0.432344	−	0.508528i
$681$			17.3023i			0.663026i
$682$	−4.01765	−	21.8646i	−0.153844	−	0.837238i
$683$	−31.0711	+	8.32547i	−1.18890	+	0.318565i	−0.798451	−	0.602059i	$-0.794347\pi$
$683$	−31.0711	+	8.32547i	−1.18890	+	0.318565i	−0.390450	+	0.920624i	$0.627680\pi$
$684$	−0.332975	+	2.06134i	−0.0127316	+	0.0788174i
$685$	−37.1092	+	12.3396i	−1.41787	+	0.471472i
$686$	5.82753	+	12.2661i	0.222496	+	0.468321i
$687$	22.2469	+	5.96105i	0.848774	+	0.227428i
$688$	17.7413	−	8.90282i	0.676379	−	0.339417i
$689$	2.33537	+	19.7631i	0.0889706	+	0.752915i
$690$	−16.1191	−	16.8058i	−0.613644	−	0.639787i
$691$	17.2448	+	29.8689i	0.656023	+	1.13627i	0.981636	+	0.190763i	$0.0610960\pi$
$691$	17.2448	+	29.8689i	0.656023	+	1.13627i	−0.325613	+	0.945503i	$0.605571\pi$
$692$	−27.3530	−	12.2791i	−1.03981	−	0.466782i
$693$	0.692103	−	0.185448i	0.0262908	−	0.00704461i
$694$	−11.6171	−	0.932232i	−0.440979	−	0.0353870i
$695$	−9.98103	+	19.9256i	−0.378602	+	0.755823i
$696$	17.3070	+	16.5759i	0.656021	+	0.628308i
$697$	15.9876	+	15.9876i	0.605575	+	0.605575i
$698$	3.20959	+	17.4670i	0.121485	+	0.661135i
$699$	17.3467	+	30.0453i	0.656111	+	1.13642i
$700$	2.12687	−	6.79111i	0.0803881	−	0.256680i
$701$	0.672851			0.0254132			0.0127066	−	0.999919i	$-0.495955\pi$
$701$	0.672851			0.0254132			0.0127066	+	0.999919i	$0.495955\pi$
$702$	5.58460	−	24.4844i	0.210777	−	0.924106i
$703$	−22.0142	+	22.0142i	−0.830280	+	0.830280i
$704$	−28.6429	+	1.23668i	−1.07952	+	0.0466093i
$705$	−41.6796	+	27.4754i	−1.56974	+	1.03478i
$706$	−38.1216	−	26.2865i	−1.43472	−	0.989305i
$707$	8.67750	−	8.67750i	0.326351	−	0.326351i
$708$	1.77801	+	17.4313i	0.0668217	+	0.655108i
$709$	−5.73552	+	9.93421i	−0.215402	+	0.373087i	−0.953397	−	0.301719i	$-0.902440\pi$
$709$	−5.73552	+	9.93421i	−0.215402	+	0.373087i	0.737995	+	0.674806i	$0.235773\pi$
$710$	25.2038	−	24.1739i	0.945883	−	0.907232i
$711$	−0.595694	−	0.343924i	−0.0223403	−	0.0128982i
$712$	−2.39937	+	4.37096i	−0.0899201	+	0.163809i
$713$	17.2248	+	4.61537i	0.645074	+	0.172847i
$714$	−5.00079	−	0.401296i	−0.187150	−	0.0150181i
$715$	2.45166	−	28.7885i	0.0916867	−	1.07663i
$716$	−0.727211	+	4.50193i	−0.0271771	+	0.168245i
$717$	10.8101	−	40.3437i	0.403709	−	1.50666i
$718$	−11.2277	+	31.5521i	−0.419014	+	1.17751i
$719$	13.4201	−	23.2442i	0.500484	−	0.866864i	−0.499516	−	0.866305i	$-0.666489\pi$
$719$	13.4201	−	23.2442i	0.500484	−	0.866864i	1.00000		0.000559073i	$-0.000177958\pi$
$720$	0.648649	−	2.42778i	0.0241737	−	0.0904782i
$721$	−1.34519	−	0.776648i	−0.0500976	−	0.0289239i
$722$	1.32683	+	7.22079i	0.0493796	+	0.268730i
$723$	11.9102	+	11.9102i	0.442944	+	0.442944i
$724$	−3.03229	−	2.47095i	−0.112694	−	0.0918323i
$725$	18.7308	−	14.0054i	0.695646	−	0.520148i
$726$	−4.26397	+	2.02578i	−0.158251	+	0.0751837i
$727$	10.0367	+	10.0367i	0.372241	+	0.372241i	0.868293	−	0.496052i	$-0.165218\pi$
$727$	10.0367	+	10.0367i	0.372241	+	0.372241i	−0.496052	+	0.868293i	$0.665218\pi$
$728$	−7.18710	+	1.00694i	−0.266372	+	0.0373196i
$729$			24.0200i			0.889628i
$730$	5.68191	−	3.12432i	0.210297	−	0.115636i
$731$	−11.8273	+	6.82848i	−0.437447	+	0.252560i
$732$	22.8776	−	2.33354i	0.845581	−	0.0862502i
$733$	14.6765	−	14.6765i	0.542088	−	0.542088i	−0.382053	−	0.924141i	$-0.624783\pi$
$733$	14.6765	−	14.6765i	0.542088	−	0.542088i	0.924141	+	0.382053i	$0.124783\pi$
$734$	7.55260	−	10.9530i	0.278772	−	0.404284i
$735$	24.9572	−	8.29881i	0.920560	−	0.306106i
$736$	8.96355	−	21.1787i	0.330401	−	0.780656i
$737$	3.84666	+	14.3559i	0.141694	+	0.528808i
$738$	3.07541	+	1.09438i	0.113207	+	0.0402845i
$739$	11.7852	−	6.80416i	0.433524	−	0.250295i	−0.267323	−	0.963607i	$-0.586139\pi$
$739$	11.7852	−	6.80416i	0.433524	−	0.250295i	0.700847	+	0.713312i	$0.252806\pi$
$740$	29.0283	−	23.6894i	1.06710	−	0.870838i
$741$	−2.84798	−	24.1011i	−0.104623	−	0.885375i
$742$	−4.22944	+	3.60106i	−0.155267	+	0.132199i
$743$	10.3546	−	38.6437i	0.379872	−	1.41770i	−0.466222	−	0.884668i	$-0.654385\pi$
$743$	10.3546	−	38.6437i	0.379872	−	1.41770i	0.846094	−	0.533034i	$-0.178948\pi$
$744$	6.28324	+	21.5762i	0.230355	+	0.791023i
$745$	9.87652	−	19.7170i	0.361848	−	0.722375i
$746$	11.2462	+	0.902471i	0.411754	+	0.0330418i
$747$	0.902564	+	3.36842i	0.0330231	+	0.123244i
$748$	19.6233	−	2.00160i	0.717499	−	0.0731857i
$749$	4.68299			0.171113
$750$	−26.0800	−	11.8352i	−0.952307	−	0.432160i
$751$	−25.1940	+	14.5458i	−0.919343	+	0.530783i	−0.883425	−	0.468572i	$-0.844769\pi$
$751$	−25.1940	+	14.5458i	−0.919343	+	0.530783i	−0.0359173	+	0.999355i	$0.511435\pi$
$752$	−41.1817	−	27.1047i	−1.50174	−	0.988405i
$753$	0.469228	+	0.469228i	0.0170996	+	0.0170996i
$754$	−21.0888	−	11.1418i	−0.768008	−	0.405759i
$755$	26.6107	−	1.57774i	0.968461	−	0.0574199i
$756$	6.55188	−	2.49198i	0.238290	−	0.0906324i
$757$	3.14141	+	0.841737i	0.114176	+	0.0305935i	0.315455	−	0.948941i	$-0.397843\pi$
$757$	3.14141	+	0.841737i	0.114176	+	0.0305935i	−0.201278	+	0.979534i	$0.564510\pi$
$758$	22.9191	−	4.21143i	0.832460	−	0.152966i
$759$		−	26.3897i		−	0.957887i
$760$	1.89678	+	23.4254i	0.0688036	+	0.849727i
$761$	34.1707	+	19.7285i	1.23869	+	0.715156i	0.968826	−	0.247743i	$-0.0796890\pi$
$761$	34.1707	+	19.7285i	1.23869	+	0.715156i	0.269861	+	0.962899i	$0.413022\pi$
$762$	−11.6299	+	9.90207i	−0.421308	+	0.358714i
$763$	−0.779666	−	2.90975i	−0.0282258	−	0.105340i
$764$	19.0309	+	50.0359i	0.688515	+	1.81024i
$765$	−0.347858	+	1.69359i	−0.0125768	+	0.0612320i
$766$	−11.5632	−	0.927909i	−0.417797	−	0.0335267i
$767$	−6.45908	−	16.1986i	−0.233224	−	0.584897i
$768$	28.6782	−	4.18183i	1.03483	−	0.150899i
$769$	12.6288	+	21.8737i	0.455406	+	0.788785i	0.998711	−	0.0507493i	$-0.0161610\pi$
$769$	12.6288	+	21.8737i	0.455406	+	0.788785i	−0.543306	+	0.839535i	$0.682828\pi$
$770$	7.06682	−	3.88584i	0.254671	−	0.140036i
$771$	47.3107	+	27.3148i	1.70385	+	0.983719i
$772$	6.29538	+	8.72102i	0.226576	+	0.313876i
$773$	4.77084	+	17.8050i	0.171595	+	0.640402i	0.997107	+	0.0760162i	$0.0242201\pi$
$773$	4.77084	+	17.8050i	0.171595	+	0.640402i	−0.825512	+	0.564385i	$0.809113\pi$
$774$	−1.11929	+	1.62324i	−0.0402322	+	0.0583461i
$775$	21.7782	−	2.59157i	0.782298	−	0.0930919i
$776$	13.3835	+	12.8182i	0.480441	+	0.460145i
$777$	−10.4314	−	2.79509i	−0.374226	−	0.100273i
$778$	7.86853	−	22.1121i	0.282101	−	0.792758i
$779$	−30.5292			−1.09382
$780$	0.487544	+	29.2029i	0.0174569	+	1.04563i
$781$	39.5769			1.41617
$782$	−5.30459	+	14.9069i	−0.189692	+	0.533071i
$783$	22.2527	+	5.96259i	0.795246	+	0.213085i
$784$	17.2613	+	19.4090i	0.616476	+	0.693179i
$785$	−11.6686	+	13.1395i	−0.416470	+	0.468967i
$786$	18.8780	−	27.3775i	0.673355	−	0.976523i
$787$	6.41450	+	23.9392i	0.228652	+	0.853341i	0.980908	+	0.194471i	$0.0622989\pi$
$787$	6.41450	+	23.9392i	0.228652	+	0.853341i	−0.752256	+	0.658871i	$0.771034\pi$
$788$	10.1107	−	7.29850i	0.360177	−	0.259998i
$789$	−35.1235	−	20.2786i	−1.25043	−	0.721936i
$790$	−7.43481	−	2.15929i	−0.264519	−	0.0768241i
$791$	−6.28527	−	10.8864i	−0.223478	−	0.387076i
$792$	2.43500	−	1.47679i	0.0865239	−	0.0524754i
$793$	−21.2598	+	8.47719i	−0.754957	+	0.301034i
$794$	41.6745	+	3.34424i	1.47897	+	0.118682i
$795$	12.3039	+	18.6647i	0.436374	+	0.661970i
$796$	34.0528	−	12.9518i	1.20697	−	0.459066i
$797$	−3.81835	−	14.2503i	−0.135253	−	0.504770i	−0.999997	−	0.00255726i	$-0.999186\pi$
$797$	−3.81835	−	14.2503i	−0.135253	−	0.504770i	0.864744	−	0.502213i	$-0.167481\pi$
$798$	5.15778	−	4.39149i	0.182584	−	0.155457i
$799$	29.3755	+	16.9600i	1.03923	+	0.600001i
$800$	0.569443	−	28.2785i	0.0201328	−	0.999797i
$801$		−	0.495294i		−	0.0175004i
$802$	12.1298	−	2.22886i	0.428317	−	0.0787039i
$803$	7.09797	+	1.90189i	0.250482	+	0.0671164i
$804$	−5.34105	−	14.0426i	−0.188364	−	0.495245i
$805$	0.382883	+	6.45781i	0.0134948	+	0.227608i
$806$	−11.9024	−	18.9363i	−0.419243	−	0.667002i
$807$	13.0329	+	13.0329i	0.458779	+	0.458779i
$808$	23.4705	−	42.7566i	0.825690	−	1.50417i
$809$	−30.3247	+	17.5080i	−1.06616	+	0.615548i	−0.927130	−	0.374740i	$-0.877732\pi$
$809$	−30.3247	+	17.5080i	−1.06616	+	0.615548i	−0.139031	+	0.990288i	$0.544399\pi$
$810$	−7.36771	−	29.9843i	−0.258875	−	1.05354i
$811$	11.1381			0.391112			0.195556	−	0.980693i	$-0.437349\pi$
$811$	11.1381			0.391112			0.195556	+	0.980693i	$0.437349\pi$
$812$	−0.675566	−	6.62312i	−0.0237077	−	0.232426i
$813$	−1.54822	−	5.77803i	−0.0542984	−	0.202644i
$814$	42.3247	+	3.39641i	1.48348	+	0.119044i
$815$	17.5142	−	5.82384i	0.613494	−	0.204000i
$816$	−19.5291	+	4.02586i	−0.683655	+	0.140933i
$817$	4.77273	−	17.8121i	0.166977	−	0.623165i
$818$	−35.6734	+	30.3733i	−1.24729	+	1.06198i
$819$	0.577695	−	0.431217i	0.0201863	−	0.0150679i
$820$	36.5544	+	3.70199i	1.27653	+	0.129279i
$821$	12.8653	−	7.42776i	0.449001	−	0.259231i	−0.258407	−	0.966036i	$-0.583198\pi$
$821$	12.8653	−	7.42776i	0.449001	−	0.259231i	0.707408	+	0.706805i	$0.249864\pi$
$822$	42.2080	+	15.0196i	1.47217	+	0.523868i
$823$	2.89884	+	10.8186i	0.101047	+	0.377113i	0.997867	−	0.0652831i	$-0.0207951\pi$
$823$	2.89884	+	10.8186i	0.101047	+	0.377113i	−0.896820	+	0.442397i	$0.854128\pi$
$824$	−5.99635	−	1.46884i	−0.208893	−	0.0511694i
$825$	−12.0460	−	30.1383i	−0.419388	−	1.04928i
$826$	2.76323	−	4.00733i	0.0961450	−	0.139433i
$827$	−11.0834	+	11.0834i	−0.385408	+	0.385408i	−0.873046	−	0.487638i	$-0.837859\pi$
$827$	−11.0834	+	11.0834i	−0.385408	+	0.385408i	0.487638	+	0.873046i	$0.337859\pi$
$828$	0.231808	+	2.27261i	0.00805590	+	0.0789786i
$829$	−24.1674	+	13.9531i	−0.839369	+	0.484610i	−0.857050	−	0.515234i	$-0.827705\pi$
$829$	−24.1674	+	13.9531i	−0.839369	+	0.484610i	0.0176805	+	0.999844i	$0.494372\pi$
$830$	18.9121	+	34.3937i	0.656449	+	1.19382i
$831$		−	11.0856i		−	0.384557i
$832$	−26.3072	+	11.8293i	−0.912037	+	0.410107i
$833$	−12.6365	−	12.6365i	−0.437830	−	0.437830i
$834$	23.0601	−	10.9557i	0.798507	−	0.379365i
$835$	−14.6644	−	3.01201i	−0.507482	−	0.104235i
$836$	−16.8248	+	20.6469i	−0.581898	+	0.714090i
$837$	15.2759	+	15.2759i	0.528013	+	0.528013i
$838$	−0.680158	−	3.70151i	−0.0234957	−	0.127866i
$839$	−34.2126	−	19.7526i	−1.18115	−	0.681937i	−0.224869	−	0.974389i	$-0.572196\pi$
$839$	−34.2126	−	19.7526i	−1.18115	−	0.681937i	−0.956280	+	0.292452i	$0.905529\pi$
$840$	−6.70822	+	4.63274i	−0.231456	+	0.159845i
$841$	−3.56008	+	6.16624i	−0.122761	+	0.212629i
$842$	−6.40028	+	17.9860i	−0.220568	+	0.619840i
$843$	−4.55911	+	17.0148i	−0.157024	+	0.586021i
$844$	−44.5520	−	7.19663i	−1.53354	−	0.247718i
$845$	−8.43663	−	27.8177i	−0.290229	−	0.956957i
$846$	4.88152	+	0.391725i	0.167830	+	0.0134678i
$847$	1.26676	+	0.339428i	0.0435265	+	0.0116629i
$848$	−12.1379	+	18.4418i	−0.416816	+	0.633293i
$849$	46.7408	+	26.9858i	1.60414	+	0.926150i
$850$	0.746424	+	19.4457i	0.0256021	+	0.666983i
$851$	−17.0300	+	29.4969i	−0.583782	+	1.01114i
$852$	−39.8009	+	4.05974i	−1.36356	+	0.139084i
$853$	3.72724	−	3.72724i	0.127618	−	0.127618i	−0.640413	−	0.768031i	$-0.721237\pi$
$853$	3.72724	−	3.72724i	0.127618	−	0.127618i	0.768031	+	0.640413i	$0.221237\pi$
$854$	−5.25940	−	3.62659i	−0.179973	−	0.124099i
$855$	−1.28488	−	1.94913i	−0.0439418	−	0.0666587i
$856$	17.8704	−	5.20406i	0.610798	−	0.177871i
$857$	19.7541	−	19.7541i	0.674787	−	0.674787i	−0.284029	−	0.958816i	$-0.591671\pi$
$857$	19.7541	−	19.7541i	0.674787	−	0.674787i	0.958816	+	0.284029i	$0.0916711\pi$
$858$	−22.5096	+	24.2668i	−0.768465	+	0.828454i
$859$	20.2252			0.690074			0.345037	−	0.938589i	$-0.387866\pi$
$859$	20.2252			0.690074			0.345037	+	0.938589i	$0.387866\pi$
$860$	−7.87456	+	20.7487i	−0.268520	+	0.707523i
$861$	−5.29503	−	9.17127i	−0.180454	−	0.312556i
$862$	5.83935	+	31.7785i	0.198889	+	1.08238i
$863$	−30.8752	−	30.8752i	−1.05100	−	1.05100i	−0.998627	−	0.0523752i	$-0.983321\pi$
$863$	−30.8752	−	30.8752i	−1.05100	−	1.05100i	−0.0523752	−	0.998627i	$-0.516679\pi$
$864$	22.2329	−	16.7903i	0.756378	−	0.571219i
$865$	31.8092	−	10.5773i	1.08155	−	0.359638i
$866$	14.5184	+	1.16505i	0.493355	+	0.0395900i
$867$	−16.4921	+	4.41906i	−0.560103	+	0.150079i
$868$	2.55676	−	5.69546i	0.0867822	−	0.193316i
$869$	−4.38688	−	7.59829i	−0.148815	−	0.257754i
$870$	−26.7872	−	0.558713i	−0.908172	−	0.0189421i
$871$	8.94451	+	11.9828i	0.303073	+	0.406022i
$872$	−6.20874	−	10.2373i	−0.210254	−	0.346678i
$873$	−1.77808	−	0.476436i	−0.0601790	−	0.0161249i
$874$	−9.16808	−	19.2975i	−0.310115	−	0.652747i
$875$	3.38504	+	7.20034i	0.114435	+	0.243416i
$876$	−7.33324	−	1.18456i	−0.247767	−	0.0400227i
$877$	−25.0462	+	6.71110i	−0.845749	+	0.226618i	−0.655572	−	0.755132i	$-0.727573\pi$
$877$	−25.0462	+	6.71110i	−0.845749	+	0.226618i	−0.190176	+	0.981750i	$0.560906\pi$
$878$	−2.78161	−	15.1379i	−0.0938746	−	0.510878i
$879$			41.3141i			1.39349i
$880$	22.6489	−	22.6816i	0.763496	−	0.764596i
$881$	15.2203	+	26.3623i	0.512784	+	0.888168i	0.999890	+	0.0148253i	$0.00471921\pi$
$881$	15.2203	+	26.3623i	0.512784	+	0.888168i	−0.487106	+	0.873343i	$0.661947\pi$
$882$	−2.43078	−	0.864988i	−0.0818488	−	0.0291256i
$883$	21.4539	−	21.4539i	0.721980	−	0.721980i	−0.247028	−	0.969008i	$-0.579454\pi$
$883$	21.4539	−	21.4539i	0.721980	−	0.721980i	0.969008	+	0.247028i	$0.0794541\pi$
$884$	17.5930	−	9.18307i	0.591716	−	0.308860i
$885$	−14.6477	−	13.0080i	−0.492377	−	0.437259i
$886$	−0.159030	+	0.0755539i	−0.00534271	+	0.00253828i
$887$	4.80105	−	17.9178i	0.161204	−	0.601620i	−0.837290	−	0.546759i	$-0.815862\pi$
$887$	4.80105	−	17.9178i	0.161204	−	0.601620i	0.998494	−	0.0548616i	$-0.0174718\pi$
$888$	−42.9127	+	0.925968i	−1.44006	+	0.0310734i
$889$	4.24333			0.142317
$890$	−1.33025	−	5.41371i	−0.0445900	−	0.181468i
$891$	17.4955	−	30.3030i	0.586120	−	1.01519i
$892$	−43.9238	+	31.7069i	−1.47068	+	1.06163i
$893$	−44.2400	+	11.8541i	−1.48044	+	0.396682i
$894$	−22.8187	+	10.8410i	−0.763171	+	0.362577i
$895$	−2.80614	−	4.25685i	−0.0937989	−	0.142291i
$896$	−6.81922	−	4.28029i	−0.227814	−	0.142994i
$897$	−9.83395	−	24.6624i	−0.328346	−	0.823453i
$898$	36.2679	−	30.8795i	1.21027	−	1.03046i
$899$	17.7688	−	10.2588i	0.592624	−	0.342151i
$900$	1.30210	+	2.48961i	0.0434034	+	0.0829869i
$901$	7.59493	−	13.1548i	0.253024	−	0.438250i
$902$	26.9928	+	31.7030i	0.898764	+	1.05559i
$903$	6.17870	−	1.65558i	0.205614	−	0.0550942i
$904$	−36.0824	−	34.5582i	−1.20008	−	1.14939i
$905$	4.36561	−	0.258836i	0.145118	−	0.00860400i
$906$	−25.1410	−	17.3358i	−0.835254	−	0.575944i
$907$	−10.4496	+	38.9984i	−0.346973	+	1.29492i	0.543318	+	0.839527i	$0.317168\pi$
$907$	−10.4496	+	38.9984i	−0.346973	+	1.29492i	−0.890291	+	0.455392i	$0.849499\pi$
$908$	7.82402	−	17.4288i	0.259649	−	0.578396i
$909$			4.84495i			0.160697i
$910$	5.15622	−	6.26489i	0.170927	−	0.207679i
$911$		−	0.964864i		−	0.0319674i	−0.999872	−	0.0159837i	$-0.994912\pi$
$911$		−	0.964864i		−	0.0319674i	0.999872	−	0.0159837i	$-0.00508798\pi$
$912$	14.8021	−	22.4897i	0.490147	−	0.744708i
$913$	−11.5125	+	42.9654i	−0.381010	+	1.42195i
$914$	−26.0402	+	37.7644i	−0.861333	+	1.24914i
$915$	−17.0723	+	19.2243i	−0.564393	+	0.635537i
$916$	−19.7140	−	16.0646i	−0.651370	−	0.530789i
$917$	−8.92372	+	2.39110i	−0.294687	+	0.0789612i
$918$	−14.5950	+	12.4266i	−0.481707	+	0.410140i
$919$	−9.50043	+	16.4552i	−0.313390	+	0.542808i	−0.979094	−	0.203408i	$-0.934798\pi$
$919$	−9.50043	+	16.4552i	−0.313390	+	0.542808i	0.665704	+	0.746216i	$0.268132\pi$
$920$	8.63745	+	24.2177i	0.284768	+	0.798433i
$921$	−37.3296	+	21.5522i	−1.23005	+	0.710171i
$922$	−14.6274	−	17.1798i	−0.481726	−	0.565785i
$923$	36.9864	−	14.7480i	1.21742	−	0.485438i
$924$	−9.12066	−	1.47329i	−0.300048	−	0.0484677i
$925$	−5.98475	+	41.4604i	−0.196777	+	1.36321i
$926$	2.32848	+	4.90111i	0.0765187	+	0.161061i
$927$	0.592349	−	0.158719i	0.0194553	−	0.00521303i
$928$	−9.93804	−	24.5233i	−0.326232	−	0.805015i
$929$	−8.64747	+	14.9779i	−0.283714	+	0.491408i	−0.972297	−	0.233751i	$-0.924900\pi$
$929$	−8.64747	+	14.9779i	−0.283714	+	0.491408i	0.688582	+	0.725158i	$0.258233\pi$
$930$	−21.4922	−	13.0135i	−0.704757	−	0.426730i
$931$	24.1301			0.790832
$932$	−3.88716	−	38.1090i	−0.127328	−	1.24830i
$933$	14.9491	−	55.7907i	0.489410	−	1.82650i
$934$	8.50503	+	17.9018i	0.278293	+	0.585766i
$935$	−14.6438	+	16.4897i	−0.478903	+	0.539271i
$936$	1.72530	−	2.28751i	0.0563932	−	0.0747695i
$937$	27.9771	−	27.9771i	0.913973	−	0.913973i	−0.0826093	−	0.996582i	$-0.526325\pi$
$937$	27.9771	−	27.9771i	0.913973	−	0.913973i	0.996582	+	0.0826093i	$0.0263253\pi$
$938$	−1.39928	+	3.93224i	−0.0456880	+	0.128392i
$939$	0.583447	+	1.01056i	0.0190401	+	0.0329784i
$940$	54.4085	−	8.82900i	1.77461	−	0.287970i
$941$		−	56.4898i		−	1.84152i	−0.390135	−	0.920758i	$-0.627572\pi$
$941$		−	56.4898i		−	1.84152i	0.390135	−	0.920758i	$-0.372428\pi$
$942$	19.7997	−	3.63823i	0.645109	−	0.118540i
$943$	−32.2618	+	8.64451i	−1.05059	+	0.281504i
$944$	6.09133	−	18.3627i	0.198256	−	0.597656i
$945$	−3.51001	+	7.00723i	−0.114181	+	0.227945i
$946$	−22.7168	+	10.7926i	−0.738586	+	0.350897i
$947$	−1.62542	−	0.435529i	−0.0528189	−	0.0141528i	0.232313	−	0.972641i	$-0.425371\pi$
$947$	−1.62542	−	0.435529i	−0.0528189	−	0.0141528i	−0.285132	+	0.958488i	$0.592037\pi$
$948$	5.19113	+	7.19131i	0.168600	+	0.233563i
$949$	7.34209	−	0.867602i	0.238334	−	0.0281636i
$950$	−19.2790	−	17.8537i	−0.625493	−	0.579249i
$951$	−24.0923	−	41.7291i	−0.781247	−	1.35316i
$952$	4.85589	+	2.66556i	0.157380	+	0.0863914i
$953$	15.2584	−	4.08848i	0.494268	−	0.132439i	−0.00307033	−	0.999995i	$-0.500977\pi$
$953$	15.2584	−	4.08848i	0.494268	−	0.132439i	0.497339	+	0.867556i	$0.334311\pi$
$954$	0.175420	−	2.18602i	0.00567944	−	0.0707750i
$955$	−53.5133	−	26.8055i	−1.73165	−	0.867407i
$956$	−29.1323	+	35.7504i	−0.942206	+	1.15625i
$957$	−21.4703	−	21.4703i	−0.694036	−	0.694036i
$958$	41.2194	−	7.57414i	1.33174	−	0.244709i
$959$	−6.22297	−	10.7785i	−0.200950	−	0.348056i
$960$	−20.4505	+	25.1333i	−0.660038	+	0.811173i
$961$	−11.7597			−0.379344
$962$	40.8199	−	12.5979i	1.31609	−	0.406172i
$963$	−1.30734	+	1.30734i	−0.0421284	+	0.0421284i
$964$	−6.61154	−	17.3830i	−0.212943	−	0.559868i
$965$	−11.7795	−	2.41946i	−0.379195	−	0.0778852i
$966$	4.20702	−	6.10116i	0.135359	−	0.196302i
$967$	−23.5611	+	23.5611i	−0.757672	+	0.757672i	−0.975898	−	0.218226i	$-0.929973\pi$
$967$	−23.5611	+	23.5611i	−0.757672	+	0.757672i	0.218226	+	0.975898i	$0.429973\pi$
$968$	5.21119	−	0.112447i	0.167494	−	0.00361418i
$969$	−9.26200	+	16.0423i	−0.297538	+	0.515351i
$970$	−20.7146	−	0.432053i	−0.665105	−	0.0138724i
$971$	28.6766	+	16.5564i	0.920275	+	0.531321i	0.883723	−	0.468011i	$-0.155029\pi$
$971$	28.6766	+	16.5564i	0.920275	+	0.531321i	0.0365520	+	0.999332i	$0.488363\pi$
$972$	−2.38390	+	5.31038i	−0.0764635	+	0.170330i
$973$	−6.85083	−	1.83568i	−0.219628	−	0.0588490i
$974$	−3.61058	+	44.9936i	−0.115690	+	1.44169i
$975$	−22.4883	−	23.6767i	−0.720203	−	0.758261i
$976$	−24.1001	−	7.99454i	−0.771426	−	0.255899i
$977$	−3.31869	+	12.3855i	−0.106174	+	0.396248i	−0.998476	−	0.0551919i	$-0.982423\pi$
$977$	−3.31869	+	12.3855i	−0.106174	+	0.396248i	0.892301	+	0.451440i	$0.149090\pi$
$978$	−19.9206	−	7.08869i	−0.636991	−	0.226671i
$979$	3.15883	−	5.47125i	0.100957	−	0.174862i
$980$	−28.8924	−	2.92603i	−0.922932	−	0.0934685i
$981$	1.02997	+	0.594651i	0.0328843	+	0.0189857i
$982$	−9.59069	+	1.76231i	−0.306051	+	0.0562374i
$983$	−9.06841	−	9.06841i	−0.289237	−	0.289237i	0.547541	−	0.836779i	$-0.315564\pi$
$983$	−9.06841	−	9.06841i	−0.289237	−	0.289237i	−0.836779	+	0.547541i	$0.815564\pi$
$984$	−30.3977	−	29.1136i	−0.969043	−	0.928107i
$985$	−2.80499	+	13.6565i	−0.0893743	+	0.435131i
$986$	7.81232	+	16.4438i	0.248795	+	0.523677i
$987$	−11.2341	−	11.2341i	−0.357586	−	0.357586i
$988$	−8.02957	+	25.5651i	−0.255455	+	0.813335i
$989$		−	20.1743i		−	0.641506i
$990$	−0.888025	+	3.05762i	−0.0282233	+	0.0971777i
$991$	51.6795	−	29.8372i	1.64165	−	0.947809i	0.661408	−	0.750026i	$-0.269959\pi$
$991$	51.6795	−	29.8372i	1.64165	−	0.947809i	0.980246	−	0.197784i	$-0.0633743\pi$
$992$	3.42749	−	24.5752i	0.108823	−	0.780265i
$993$	−36.9482	+	36.9482i	−1.17252	+	1.17252i
$994$	9.14996	+	6.30929i	0.290219	+	0.200119i
$995$	−18.2430	+	36.4194i	−0.578341	+	1.15457i
$996$	7.17039	−	44.3896i	0.227203	−	1.40654i
$997$	9.72645	+	36.2996i	0.308040	+	1.14962i	0.930297	+	0.366807i	$0.119549\pi$
$997$	9.72645	+	36.2996i	0.308040	+	1.14962i	−0.622257	+	0.782813i	$0.713784\pi$
$998$	4.16189	−	11.6957i	0.131742	−	0.370222i
$999$	−35.7346	+	20.6314i	−1.13059	+	0.652748i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bg.c.23.5	✓	144
4.3	odd	2	inner	260.2.bg.c.23.34	yes	144
5.2	odd	4	inner	260.2.bg.c.127.23	yes	144
13.4	even	6	inner	260.2.bg.c.43.18	yes	144
20.7	even	4	inner	260.2.bg.c.127.18	yes	144
52.43	odd	6	inner	260.2.bg.c.43.23	yes	144
65.17	odd	12	inner	260.2.bg.c.147.34	yes	144
260.147	even	12	inner	260.2.bg.c.147.5	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bg.c.23.5	✓	144	1.1	even	1	trivial
260.2.bg.c.23.34	yes	144	4.3	odd	2	inner
260.2.bg.c.43.18	yes	144	13.4	even	6	inner
260.2.bg.c.43.23	yes	144	52.43	odd	6	inner
260.2.bg.c.127.18	yes	144	20.7	even	4	inner
260.2.bg.c.127.23	yes	144	5.2	odd	4	inner
260.2.bg.c.147.5	yes	144	260.147	even	12	inner
260.2.bg.c.147.34	yes	144	65.17	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.bg (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.33237 - 0.474120i) q^{2} +(-1.74962 - 0.468810i) q^{3} +(1.55042 + 1.26341i) q^{4} +(-2.23215 + 0.132344i) q^{5} +(2.10887 + 1.45416i) q^{6} +(-0.184185 - 0.687388i) q^{7} +(-1.46673 - 2.41841i) q^{8} +(0.243315 + 0.140478i) q^{9} +O(q^{10})\)	\(q+(-1.33237 - 0.474120i) q^{2} +(-1.74962 - 0.468810i) q^{3} +(1.55042 + 1.26341i) q^{4} +(-2.23215 + 0.132344i) q^{5} +(2.10887 + 1.45416i) q^{6} +(-0.184185 - 0.687388i) q^{7} +(-1.46673 - 2.41841i) q^{8} +(0.243315 + 0.140478i) q^{9} +(3.03679 + 0.881975i) q^{10} +(1.79185 + 3.10357i) q^{11} +(-2.12035 - 2.93733i) q^{12} +(2.83108 + 2.23270i) q^{13} +(-0.0805018 + 1.00318i) q^{14} +(3.96746 + 0.814901i) q^{15} +(0.807606 + 3.91762i) q^{16} +(-0.712287 - 2.65829i) q^{17} +(-0.257582 - 0.302529i) q^{18} +(3.21815 + 1.85800i) q^{19} +(-3.62797 - 2.61492i) q^{20} +1.28902i q^{21} +(-0.915939 - 4.98465i) q^{22} +(3.92688 + 1.05221i) q^{23} +(1.43244 + 4.91892i) q^{24} +(4.96497 - 0.590822i) q^{25} +(-2.71348 - 4.31706i) q^{26} +(3.48258 + 3.48258i) q^{27} +(0.582887 - 1.29844i) q^{28} +(4.05091 - 2.33879i) q^{29} +(-4.89976 - 2.96680i) q^{30} +4.38638 q^{31} +(0.781394 - 5.60263i) q^{32} +(-1.68007 - 6.27011i) q^{33} +(-0.311320 + 3.87954i) q^{34} +(0.502100 + 1.50998i) q^{35} +(0.199759 + 0.525205i) q^{36} +(-2.16839 + 8.09255i) q^{37} +(-3.40685 - 4.00133i) q^{38} +(-3.90661 - 5.23362i) q^{39} +(3.59401 + 5.20414i) q^{40} +(-7.11493 + 4.10781i) q^{41} +(0.611149 - 1.71745i) q^{42} +(-1.28437 - 4.79334i) q^{43} +(-1.14296 + 7.07567i) q^{44} +(-0.561706 - 0.281366i) q^{45} +(-4.73319 - 3.26374i) q^{46} +(-8.71527 + 8.71527i) q^{47} +(0.423614 - 7.23297i) q^{48} +(5.62360 - 3.24679i) q^{49} +(-6.89530 - 1.56680i) q^{50} +4.98493i q^{51} +(1.56856 + 7.03844i) q^{52} +(3.90283 + 3.90283i) q^{53} +(-2.98893 - 6.29125i) q^{54} +(-4.41041 - 6.69049i) q^{55} +(-1.39224 + 1.45365i) q^{56} +(-4.75949 - 4.75949i) q^{57} +(-6.50618 + 1.19552i) q^{58} +(-4.18868 - 2.41834i) q^{59} +(5.12167 + 6.27595i) q^{60} +(-3.17394 + 5.49742i) q^{61} +(-5.84428 - 2.07967i) q^{62} +(0.0517479 - 0.193126i) q^{63} +(-3.69742 + 7.09430i) q^{64} +(-6.61488 - 4.60905i) q^{65} +(-0.734308 + 9.15066i) q^{66} +(4.00590 + 1.07338i) q^{67} +(2.25416 - 5.02138i) q^{68} +(-6.37727 - 3.68192i) q^{69} +(0.0469272 - 2.24990i) q^{70} +(5.52180 - 9.56404i) q^{71} +(-0.0171432 - 0.794478i) q^{72} +(1.44992 - 1.44992i) q^{73} +(6.72594 - 9.75419i) q^{74} +(-8.96380 - 1.29391i) q^{75} +(2.64207 + 6.94651i) q^{76} +(1.80333 - 1.80333i) q^{77} +(2.72368 + 8.82533i) q^{78} -2.44824 q^{79} +(-2.32117 - 8.63783i) q^{80} +(-4.88197 - 8.45581i) q^{81} +(11.4273 - 2.09979i) q^{82} +(8.77666 + 8.77666i) q^{83} +(-1.62855 + 1.99852i) q^{84} +(1.94174 + 5.83944i) q^{85} +(-0.561361 + 6.99546i) q^{86} +(-8.18401 + 2.19290i) q^{87} +(4.87756 - 8.88551i) q^{88} +(-0.881445 - 1.52671i) q^{89} +(0.614999 + 0.641200i) q^{90} +(1.01329 - 2.35728i) q^{91} +(4.75896 + 6.59261i) q^{92} +(-7.67450 - 2.05638i) q^{93} +(15.7441 - 7.47989i) q^{94} +(-7.42928 - 3.72143i) q^{95} +(-3.99371 + 9.43615i) q^{96} +(-6.32870 + 1.69577i) q^{97} +(-9.03208 + 1.65966i) q^{98} +1.00686i 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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Database

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