LMFDB - Embedded newform 260.2.bc.c.19.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

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

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

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

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

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

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

chi := DirichletCharacter("260.19");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 260 = 2^{2} \cdot 5 \cdot 13 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	260.bc (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.07611045255$
Analytic rank:	$0$
Dimension:	$144$
Relative dimension:	$36$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			19.17
Character	$\chi$	$=$	260.19
Dual form			260.2.bc.c.219.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.105332 + 1.41029i) q^{2} +(0.640517 - 1.10941i) q^{3} +(-1.97781 - 0.297096i) q^{4} +(-2.15621 + 0.592253i) q^{5} +(1.49712 + 1.02017i) q^{6} +(-0.819289 + 3.05763i) q^{7} +(0.627317 - 2.75798i) q^{8} +(0.679475 + 1.17689i) q^{9} +O(q^{10})$	\(q+(-0.105332 + 1.41029i) q^{2} +(0.640517 - 1.10941i) q^{3} +(-1.97781 - 0.297096i) q^{4} +(-2.15621 + 0.592253i) q^{5} +(1.49712 + 1.02017i) q^{6} +(-0.819289 + 3.05763i) q^{7} +(0.627317 - 2.75798i) q^{8} +(0.679475 + 1.17689i) q^{9} +(-0.608128 - 3.10325i) q^{10} +(1.35674 + 5.06344i) q^{11} +(-1.59642 + 2.00390i) q^{12} +(-3.44336 + 1.06923i) q^{13} +(-4.22583 - 1.47750i) q^{14} +(-0.724039 + 2.77146i) q^{15} +(3.82347 + 1.17520i) q^{16} +(-2.66223 - 4.61113i) q^{17} +(-1.73132 + 0.834290i) q^{18} +(-0.958688 + 3.57787i) q^{19} +(4.44053 - 0.530762i) q^{20} +(2.86739 + 2.86739i) q^{21} +(-7.28380 + 1.38005i) q^{22} +(2.21578 + 1.27928i) q^{23} +(-2.65792 - 2.46249i) q^{24} +(4.29847 - 2.55404i) q^{25} +(-1.14523 - 4.96875i) q^{26} +5.58397 q^{27} +(2.52881 - 5.80400i) q^{28} +(0.573434 - 0.993216i) q^{29} +(-3.83229 - 1.31302i) q^{30} +(-1.95451 - 1.95451i) q^{31} +(-2.06010 + 5.26839i) q^{32} +(6.48644 + 1.73804i) q^{33} +(6.78342 - 3.26881i) q^{34} +(-0.0443310 - 7.07811i) q^{35} +(-0.994225 - 2.52953i) q^{36} +(0.831477 + 3.10311i) q^{37} +(-4.94484 - 1.72889i) q^{38} +(-1.01932 + 4.50496i) q^{39} +(0.280797 + 6.31832i) q^{40} +(-2.58986 - 9.66547i) q^{41} +(-4.34587 + 3.74181i) q^{42} +(1.76212 - 1.01736i) q^{43} +(-1.17905 - 10.4176i) q^{44} +(-2.16210 - 2.13519i) q^{45} +(-2.03755 + 2.99014i) q^{46} +(-3.80170 - 3.80170i) q^{47} +(3.75277 - 3.48905i) q^{48} +(-2.61568 - 1.51016i) q^{49} +(3.14916 + 6.33110i) q^{50} -6.82083 q^{51} +(7.12798 - 1.09173i) q^{52} +1.42398i q^{53} +(-0.588170 + 7.87499i) q^{54} +(-5.92426 - 10.1143i) q^{55} +(7.91893 + 4.17769i) q^{56} +(3.35527 + 3.35527i) q^{57} +(1.34032 + 0.913323i) q^{58} +(13.1237 + 3.51648i) q^{59} +(2.25540 - 5.26632i) q^{60} +(7.45824 + 12.9180i) q^{61} +(2.96229 - 2.55055i) q^{62} +(-4.15517 + 1.11337i) q^{63} +(-7.21295 - 3.46026i) q^{64} +(6.79135 - 4.34483i) q^{65} +(-3.13436 + 8.96466i) q^{66} +(2.53496 + 9.46061i) q^{67} +(3.89545 + 9.91087i) q^{68} +(2.83849 - 1.63881i) q^{69} +(9.98683 + 0.683032i) q^{70} +(1.23075 - 4.59322i) q^{71} +(3.67208 - 1.13570i) q^{72} +(-0.511280 + 0.511280i) q^{73} +(-4.46386 + 0.845762i) q^{74} +(-0.0802295 - 6.40467i) q^{75} +(2.95908 - 6.79153i) q^{76} -16.5937 q^{77} +(-6.24591 - 1.91205i) q^{78} +6.58756i q^{79} +(-8.94021 - 0.269518i) q^{80} +(1.53820 - 2.66424i) q^{81} +(13.9039 - 2.63435i) q^{82} +(2.29916 - 2.29916i) q^{83} +(-4.81926 - 6.52304i) q^{84} +(8.47129 + 8.36583i) q^{85} +(1.24916 + 2.59225i) q^{86} +(-0.734588 - 1.27234i) q^{87} +(14.8160 - 0.565496i) q^{88} +(2.83677 - 0.760109i) q^{89} +(3.23897 - 2.82428i) q^{90} +(-0.448203 - 11.4045i) q^{91} +(-4.00233 - 3.18848i) q^{92} +(-3.42025 + 0.916454i) q^{93} +(5.76192 - 4.96104i) q^{94} +(-0.0518738 - 8.28243i) q^{95} +(4.52527 + 5.65999i) q^{96} +(-2.74980 + 10.2624i) q^{97} +(2.40527 - 3.52978i) q^{98} +(-5.03722 + 5.03722i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	$ 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) $ 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Display 100 coefficients 10 coefficients

Character values

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

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

Coefficient data

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

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

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

$2$	−0.105332	+	1.41029i	−0.0744810	+	0.997222i
$2$	−0.105332	+	1.41029i	−0.0744810	+	0.997222i
$3$	0.640517	−	1.10941i	0.369803	−	0.640517i	−0.619732	−	0.784814i	$-0.712759\pi$
$3$	0.640517	−	1.10941i	0.369803	−	0.640517i	0.989534	+	0.144297i	$0.0460919\pi$
$4$	−1.97781	−	0.297096i	−0.988905	−	0.148548i
$5$	−2.15621	+	0.592253i	−0.964286	+	0.264864i
$5$	−2.15621	+	0.592253i	−0.964286	+	0.264864i
$6$	1.49712	+	1.02017i	0.611195	+	0.416482i
$7$	−0.819289	+	3.05763i	−0.309662	+	1.15567i	0.619195	+	0.785237i	$0.287459\pi$
$7$	−0.819289	+	3.05763i	−0.309662	+	1.15567i	−0.928857	+	0.370438i	$0.879208\pi$
$8$	0.627317	−	2.75798i	0.221790	−	0.975094i
$9$	0.679475	+	1.17689i	0.226492	+	0.392295i
$10$	−0.608128	−	3.10325i	−0.192307	−	0.981335i
$11$	1.35674	+	5.06344i	0.409074	+	1.52668i	0.796417	+	0.604748i	$0.206726\pi$
$11$	1.35674	+	5.06344i	0.409074	+	1.52668i	−0.387343	+	0.921936i	$0.626607\pi$
$12$	−1.59642	+	2.00390i	−0.460848	+	0.578477i
$13$	−3.44336	+	1.06923i	−0.955017	+	0.296551i
$13$	−3.44336	+	1.06923i	−0.955017	+	0.296551i
$14$	−4.22583	−	1.47750i	−1.12940	−	0.394878i
$15$	−0.724039	+	2.77146i	−0.186946	+	0.715589i
$16$	3.82347	+	1.17520i	0.955867	+	0.293800i
$17$	−2.66223	−	4.61113i	−0.645687	−	1.11836i	−0.984142	−	0.177380i	$-0.943238\pi$
$17$	−2.66223	−	4.61113i	−0.645687	−	1.11836i	0.338456	−	0.940982i	$-0.390095\pi$
$18$	−1.73132	+	0.834290i	−0.408075	+	0.196644i
$19$	−0.958688	+	3.57787i	−0.219938	+	0.820821i	0.764431	+	0.644705i	$0.223020\pi$
$19$	−0.958688	+	3.57787i	−0.219938	+	0.820821i	−0.984370	+	0.176115i	$0.943647\pi$
$20$	4.44053	−	0.530762i	0.992932	−	0.118682i
$21$	2.86739	+	2.86739i	0.625716	+	0.625716i
$22$	−7.28380	+	1.38005i	−1.55291	+	0.294229i
$23$	2.21578	+	1.27928i	0.462023	+	0.266749i	0.712894	−	0.701271i	$-0.247384\pi$
$23$	2.21578	+	1.27928i	0.462023	+	0.266749i	−0.250872	+	0.968020i	$0.580717\pi$
$24$	−2.65792	−	2.46249i	−0.542546	−	0.502653i
$25$	4.29847	−	2.55404i	0.859695	−	0.510808i
$26$	−1.14523	−	4.96875i	−0.224597	−	0.974452i
$27$	5.58397			1.07463
$28$	2.52881	−	5.80400i	0.477900	−	1.09685i
$29$	0.573434	−	0.993216i	0.106484	−	0.184436i	−0.807860	−	0.589375i	$-0.799374\pi$
$29$	0.573434	−	0.993216i	0.106484	−	0.184436i	0.914344	+	0.404939i	$0.132707\pi$
$30$	−3.83229	−	1.31302i	−0.699678	−	0.239724i
$31$	−1.95451	−	1.95451i	−0.351041	−	0.351041i	0.509456	−	0.860497i	$-0.329847\pi$
$31$	−1.95451	−	1.95451i	−0.351041	−	0.351041i	−0.860497	+	0.509456i	$0.829847\pi$
$32$	−2.06010	+	5.26839i	−0.364178	+	0.931329i
$33$	6.48644	+	1.73804i	1.12914	+	0.302553i
$34$	6.78342	−	3.26881i	1.16335	−	0.560597i
$35$	−0.0443310	−	7.07811i	−0.00749331	−	1.19642i
$36$	−0.994225	−	2.52953i	−0.165704	−	0.421588i
$37$	0.831477	+	3.10311i	0.136694	+	0.510149i	0.999985	+	0.00544260i	$0.00173244\pi$
$37$	0.831477	+	3.10311i	0.136694	+	0.510149i	−0.863291	+	0.504706i	$0.831601\pi$
$38$	−4.94484	−	1.72889i	−0.802159	−	0.280463i
$39$	−1.01932	+	4.50496i	−0.163222	+	0.721370i
$40$	0.280797	+	6.31832i	0.0443978	+	0.999014i
$41$	−2.58986	−	9.66547i	−0.404467	−	1.50949i	−0.805036	−	0.593226i	$-0.797854\pi$
$41$	−2.58986	−	9.66547i	−0.404467	−	1.50949i	0.400568	−	0.916267i	$-0.368813\pi$
$42$	−4.34587	+	3.74181i	−0.670582	+	0.577374i
$43$	1.76212	−	1.01736i	0.268721	−	0.155146i	−0.359585	−	0.933112i	$-0.617082\pi$
$43$	1.76212	−	1.01736i	0.268721	−	0.155146i	0.628306	+	0.777966i	$0.283749\pi$
$44$	−1.17905	−	10.4176i	−0.177749	−	1.57051i
$45$	−2.16210	−	2.13519i	−0.322308	−	0.318295i
$46$	−2.03755	+	2.99014i	−0.300420	+	0.440872i
$47$	−3.80170	−	3.80170i	−0.554535	−	0.554535i	0.373211	−	0.927746i	$-0.378257\pi$
$47$	−3.80170	−	3.80170i	−0.554535	−	0.554535i	−0.927746	+	0.373211i	$0.878257\pi$
$48$	3.75277	−	3.48905i	0.541666	−	0.503601i
$49$	−2.61568	−	1.51016i	−0.373668	−	0.215737i
$50$	3.14916	+	6.33110i	0.445359	+	0.895352i
$51$	−6.82083			−0.955107
$52$	7.12798	−	1.09173i	0.988473	−	0.151395i
$53$			1.42398i			0.195599i	0.995206	+	0.0977995i	$0.0311804\pi$
$53$			1.42398i			0.195599i	−0.995206	+	0.0977995i	$0.968820\pi$
$54$	−0.588170	+	7.87499i	−0.0800398	+	1.07165i
$55$	−5.92426	−	10.1143i	−0.798827	−	1.36381i
$56$	7.91893	+	4.17769i	1.05821	+	0.558267i
$57$	3.35527	+	3.35527i	0.444416	+	0.444416i
$58$	1.34032	+	0.913323i	0.175992	+	0.119925i
$59$	13.1237	+	3.51648i	1.70856	+	0.457806i	0.975070	−	0.221898i	$-0.0712252\pi$
$59$	13.1237	+	3.51648i	1.70856	+	0.457806i	0.733486	+	0.679704i	$0.237892\pi$
$60$	2.25540	−	5.26632i	0.291171	−	0.679879i
$61$	7.45824	+	12.9180i	0.954929	+	1.65399i	0.734529	+	0.678577i	$0.237403\pi$
$61$	7.45824	+	12.9180i	0.954929	+	1.65399i	0.220400	+	0.975410i	$0.429264\pi$
$62$	2.96229	−	2.55055i	0.376212	−	0.323920i
$63$	−4.15517	+	1.11337i	−0.523502	+	0.140272i
$64$	−7.21295	−	3.46026i	−0.901618	−	0.432533i
$65$	6.79135	−	4.34483i	0.842364	−	0.538910i
$66$	−3.13436	+	8.96466i	−0.385813	+	1.10347i
$67$	2.53496	+	9.46061i	0.309695	+	1.15580i	0.928828	+	0.370511i	$0.120817\pi$
$67$	2.53496	+	9.46061i	0.309695	+	1.15580i	−0.619133	+	0.785286i	$0.712516\pi$
$68$	3.89545	+	9.91087i	0.472392	+	1.20187i
$69$	2.83849	−	1.63881i	0.341715	−	0.197289i
$70$	9.98683	+	0.683032i	1.19365	+	0.0816379i
$71$	1.23075	−	4.59322i	0.146063	−	0.545114i	−0.853643	−	0.520859i	$-0.825612\pi$
$71$	1.23075	−	4.59322i	0.146063	−	0.545114i	0.999706	−	0.0242555i	$-0.00772153\pi$
$72$	3.67208	−	1.13570i	0.432759	−	0.133844i
$73$	−0.511280	+	0.511280i	−0.0598408	+	0.0598408i	−0.736394	−	0.676553i	$-0.763473\pi$
$73$	−0.511280	+	0.511280i	−0.0598408	+	0.0598408i	0.676553	+	0.736394i	$0.263473\pi$
$74$	−4.46386	+	0.845762i	−0.518913	+	0.0983179i
$75$	−0.0802295	−	6.40467i	−0.00926411	−	0.739548i
$76$	2.95908	−	6.79153i	0.339429	−	0.779042i
$77$	−16.5937			−1.89103
$78$	−6.24591	−	1.91205i	−0.707210	−	0.216497i
$79$			6.58756i			0.741158i	0.928801	+	0.370579i	$0.120841\pi$
$79$			6.58756i			0.741158i	−0.928801	+	0.370579i	$0.879159\pi$
$80$	−8.94021	−	0.269518i	−0.999546	−	0.0301330i
$81$	1.53820	−	2.66424i	0.170911	−	0.296027i
$82$	13.9039	−	2.63435i	1.53543	−	0.290916i
$83$	2.29916	−	2.29916i	0.252366	−	0.252366i	−0.569574	−	0.821940i	$-0.692892\pi$
$83$	2.29916	−	2.29916i	0.252366	−	0.252366i	0.821940	+	0.569574i	$0.192892\pi$
$84$	−4.81926	−	6.52304i	−0.525825	−	0.711722i
$85$	8.47129	+	8.36583i	0.918840	+	0.907402i
$86$	1.24916	+	2.59225i	0.134700	+	0.279530i
$87$	−0.734588	−	1.27234i	−0.0787561	−	0.136410i
$88$	14.8160	−	0.565496i	1.57939	−	0.0602820i
$89$	2.83677	−	0.760109i	0.300697	−	0.0805714i	−0.105316	−	0.994439i	$-0.533585\pi$
$89$	2.83677	−	0.760109i	0.300697	−	0.0805714i	0.406013	+	0.913867i	$0.366919\pi$
$90$	3.23897	−	2.82428i	0.341417	−	0.297705i
$91$	−0.448203	−	11.4045i	−0.0469845	−	1.19552i
$92$	−4.00233	−	3.18848i	−0.417272	−	0.332422i
$93$	−3.42025	+	0.916454i	−0.354664	+	0.0950318i
$94$	5.76192	−	4.96104i	0.594297	−	0.511692i
$95$	−0.0518738	−	8.28243i	−0.00532214	−	0.849759i
$96$	4.52527	+	5.65999i	0.461859	+	0.577670i
$97$	−2.74980	+	10.2624i	−0.279200	+	1.04199i	0.673774	+	0.738938i	$0.264672\pi$
$97$	−2.74980	+	10.2624i	−0.279200	+	1.04199i	−0.952974	+	0.303052i	$0.901994\pi$
$98$	2.40527	−	3.52978i	0.242969	−	0.356562i
$99$	−5.03722	+	5.03722i	−0.506259	+	0.506259i
$100$	−9.26036	+	3.77435i	−0.926036	+	0.377435i
$101$	−13.8119	−	7.97428i	−1.37433	−	0.793470i	−0.382861	−	0.923806i	$-0.625061\pi$
$101$	−13.8119	−	7.97428i	−1.37433	−	0.793470i	−0.991470	+	0.130335i	$0.958395\pi$
$102$	0.718451	−	9.61931i	0.0711373	−	0.952454i
$103$			5.50269i			0.542197i	0.962552	+	0.271098i	$0.0873868\pi$
$103$			5.50269i			0.542197i	−0.962552	+	0.271098i	$0.912613\pi$
$104$	0.788842	+	10.1675i	0.0773523	+	0.997004i
$105$	−7.88091	−	4.48447i	−0.769098	−	0.437640i
$106$	−2.00822	−	0.149991i	−0.195056	−	0.0145684i
$107$	−2.49261	+	4.31733i	−0.240970	+	0.417372i	−0.960991	−	0.276581i	$-0.910799\pi$
$107$	−2.49261	+	4.31733i	−0.240970	+	0.417372i	0.720021	+	0.693952i	$0.244132\pi$
$108$	−11.0440	−	1.65898i	−1.06271	−	0.159635i
$109$	5.16895	−	5.16895i	0.495095	−	0.495095i	−0.414812	−	0.909907i	$-0.636153\pi$
$109$	5.16895	−	5.16895i	0.495095	−	0.495095i	0.909907	+	0.414812i	$0.136153\pi$
$110$	14.8881	−	7.28954i	1.41952	−	0.695030i
$111$	3.97519	+	1.06515i	0.377309	+	0.101100i
$112$	−6.72585	+	10.7279i	−0.635533	+	1.01369i
$113$	7.81943	−	4.51455i	0.735590	−	0.424693i	−0.0848738	−	0.996392i	$-0.527049\pi$
$113$	7.81943	−	4.51455i	0.735590	−	0.424693i	0.820464	+	0.571699i	$0.193715\pi$
$114$	−5.08530	+	4.37847i	−0.476282	+	0.410081i
$115$	−5.53535	−	1.44610i	−0.516174	−	0.134849i
$116$	−1.42922	+	1.79403i	−0.132700	+	0.166571i
$117$	−3.59804	−	3.32593i	−0.332639	−	0.307482i
$118$	−6.34158	+	18.1377i	−0.583790	+	1.66971i
$119$	16.2802	−	4.36228i	1.49241	−	0.399889i
$120$	7.18945	+	3.73547i	0.656304	+	0.341001i
$121$	−14.2714	+	8.23958i	−1.29740	+	0.749053i
$122$	−19.0037	+	9.15756i	−1.72052	+	0.829087i
$123$	−12.3818	−	3.31769i	−1.11643	−	0.299146i
$124$	3.28498	+	4.44633i	0.295000	+	0.399293i
$125$	−7.75577	+	8.05283i	−0.693697	+	0.720267i
$126$	−1.13250	−	5.97724i	−0.100891	−	0.532495i
$127$	1.08654	+	0.627311i	0.0964144	+	0.0556649i	0.547432	−	0.836850i	$-0.315605\pi$
$127$	1.08654	+	0.627311i	0.0964144	+	0.0556649i	−0.451018	+	0.892515i	$0.648939\pi$
$128$	5.63971	−	9.80784i	0.498485	−	0.866898i
$129$		−	2.60655i		−	0.229494i
$130$	5.41210	+	10.0354i	0.474673	+	0.880162i
$131$		−	11.7537i		−	1.02693i	−0.858112	−	0.513463i	$-0.828362\pi$
$131$		−	11.7537i		−	1.02693i	0.858112	−	0.513463i	$-0.171638\pi$
$132$	−12.3126	−	5.36460i	−1.07167	−	0.466929i
$133$	−10.1544	−	5.86263i	−0.880495	−	0.508354i
$134$	−13.6092	+	2.57852i	−1.17565	+	0.222750i
$135$	−12.0402	+	3.30712i	−1.03626	+	0.284632i
$136$	−14.3875	+	4.44976i	−1.23372	+	0.381564i
$137$	−0.221576	−	0.0593711i	−0.0189305	−	0.00507242i	0.249341	−	0.968416i	$-0.419786\pi$
$137$	−0.221576	−	0.0593711i	−0.0189305	−	0.00507242i	−0.268272	+	0.963343i	$0.586453\pi$
$138$	2.01220	+	4.17571i	0.171290	+	0.355460i
$139$	5.56173	−	3.21107i	0.471740	−	0.272359i	−0.245228	−	0.969465i	$-0.578863\pi$
$139$	5.56173	−	3.21107i	0.471740	−	0.272359i	0.716968	+	0.697106i	$0.245529\pi$
$140$	−2.01520	+	14.0123i	−0.170316	+	1.18426i
$141$	−6.65269	+	1.78258i	−0.560258	+	0.150121i
$142$	6.34811	+	2.21952i	0.532721	+	0.186258i
$143$	−10.0858	−	15.9846i	−0.843413	−	1.33670i
$144$	1.21488	+	5.29830i	0.101240	+	0.441525i
$145$	−0.648208	+	2.48120i	−0.0538307	+	0.206052i
$146$	−0.667197	−	0.774905i	−0.0552176	−	0.0641316i
$147$	−3.35077	+	1.93457i	−0.276367	+	0.159561i
$148$	−0.722580	−	6.38440i	−0.0593957	−	0.524794i
$149$	11.5555	+	3.09628i	0.946662	+	0.253657i	0.698945	−	0.715175i	$-0.253653\pi$
$149$	11.5555	+	3.09628i	0.946662	+	0.253657i	0.247717	+	0.968833i	$0.420320\pi$
$150$	9.04086	+	0.561470i	0.738183	+	0.0458438i
$151$	7.23397	−	7.23397i	0.588693	−	0.588693i	−0.348585	−	0.937277i	$-0.613338\pi$
$151$	7.23397	−	7.23397i	0.588693	−	0.588693i	0.937277	+	0.348585i	$0.113338\pi$
$152$	9.26631	+	4.88851i	0.751597	+	0.396510i
$153$	3.61785	−	6.26629i	0.292485	−	0.506600i
$154$	1.74785	−	23.4018i	0.140845	−	1.88577i
$155$	5.37190	+	3.05677i	0.431482	+	0.245526i
$156$	3.35442	−	8.60711i	0.268569	−	0.689121i
$157$			0.295125i			0.0235536i	0.999931	+	0.0117768i	$0.00374875\pi$
$157$			0.295125i			0.0235536i	−0.999931	+	0.0117768i	$0.996251\pi$
$158$	−9.29034	−	0.693881i	−0.739100	−	0.0552022i
$159$	1.57978	+	0.912085i	0.125285	+	0.0723331i
$160$	1.32179	−	12.5799i	0.104496	−	0.994525i
$161$	−5.72694	+	5.72694i	−0.451346	+	0.451346i
$162$	3.59532	+	2.44993i	0.282475	+	0.192485i
$163$	−0.984034	+	3.67246i	−0.0770755	+	0.287650i	−0.993696	−	0.112109i	$-0.964239\pi$
$163$	−0.984034	+	3.67246i	−0.0770755	+	0.287650i	0.916620	+	0.399759i	$0.130906\pi$
$164$	2.25067	+	19.8859i	0.175748	+	1.55283i
$165$	−15.0155	+	0.0940436i	−1.16895	+	0.00732129i
$166$	3.00030	+	3.48465i	0.232869	+	0.270462i
$167$	−10.8241	+	2.90032i	−0.837596	+	0.224433i	−0.652025	−	0.758198i	$-0.726080\pi$
$167$	−10.8241	+	2.90032i	−0.837596	+	0.224433i	−0.185571	+	0.982631i	$0.559414\pi$
$168$	9.70698	−	6.10945i	0.748910	−	0.471354i
$169$	10.7135	−	7.36350i	0.824114	−	0.566423i
$170$	−12.6905	+	11.0657i	−0.973318	+	0.848704i
$171$	−4.86215	+	1.30281i	−0.371818	+	0.0996284i
$172$	−3.78739	+	1.48863i	−0.288786	+	0.113507i
$173$	8.92116	+	15.4519i	0.678263	+	1.17479i	0.975504	+	0.219983i	$0.0706003\pi$
$173$	8.92116	+	15.4519i	0.678263	+	1.17479i	−0.297241	+	0.954803i	$0.596066\pi$
$174$	1.87174	−	0.901961i	0.141897	−	0.0683775i
$175$	4.28762	+	15.2356i	0.324114	+	1.15171i
$176$	−0.763087	+	20.9543i	−0.0575199	+	1.57949i
$177$	12.3071	−	12.3071i	0.925062	−	0.925062i
$178$	0.773169	+	4.08071i	0.0579515	+	0.305863i
$179$	−11.9404	+	20.6813i	−0.892464	+	1.54579i	−0.0555514	+	0.998456i	$0.517692\pi$
$179$	−11.9404	+	20.6813i	−0.892464	+	1.54579i	−0.836912	+	0.547337i	$0.815642\pi$
$180$	3.64188	+	4.86535i	0.271449	+	0.362642i
$181$		−	15.8003i		−	1.17442i	−0.809433	−	0.587212i	$-0.800225\pi$
$181$		−	15.8003i		−	1.17442i	0.809433	−	0.587212i	$-0.199775\pi$
$182$	16.1309	+	0.569167i	1.19570	+	0.0421895i
$183$	19.1085			1.41254
$184$	4.91824	−	5.30858i	0.362577	−	0.391353i
$185$	−3.63066	−	6.19852i	−0.266932	−	0.455724i
$186$	−0.932200	−	4.92006i	−0.0683522	−	0.360757i
$187$	19.7362	−	19.7362i	1.44325	−	1.44325i
$188$	6.38957	+	8.64851i	0.466007	+	0.630758i
$189$	−4.57488	+	17.0737i	−0.332774	+	1.24193i
$190$	11.6861	+	0.799248i	0.847795	+	0.0579835i
$191$	1.11793	−	0.645434i	0.0808902	−	0.0467020i	−0.459009	−	0.888431i	$-0.651796\pi$
$191$	1.11793	−	0.645434i	0.0808902	−	0.0467020i	0.539900	+	0.841729i	$0.318462\pi$
$192$	−8.45886	+	5.78575i	−0.610466	+	0.417550i
$193$	−3.52046	−	13.1385i	−0.253408	−	0.945731i	−0.968969	−	0.247181i	$-0.920496\pi$
$193$	−3.52046	−	13.1385i	−0.253408	−	0.945731i	0.715561	−	0.698550i	$-0.246171\pi$
$194$	−14.1833	−	4.95897i	−1.01830	−	0.356033i
$195$	−0.470210	−	10.3173i	−0.0336724	−	0.738839i
$196$	4.72465	+	3.76392i	0.337475	+	0.268852i
$197$	20.0039	−	5.36003i	1.42522	−	0.381886i	0.537887	−	0.843017i	$-0.319223\pi$
$197$	20.0039	−	5.36003i	1.42522	−	0.381886i	0.887332	+	0.461131i	$0.152556\pi$
$198$	−6.57333	−	7.63449i	−0.467146	−	0.542560i
$199$	6.83558	+	11.8396i	0.484562	+	0.839285i	0.999843	−	0.0177360i	$-0.00564585\pi$
$199$	6.83558	+	11.8396i	0.484562	+	0.839285i	−0.515281	+	0.857021i	$0.672313\pi$
$200$	−4.34750	−	13.4573i	−0.307415	−	0.951576i
$201$	12.1194	+	3.24737i	0.854834	+	0.229052i
$202$	12.7008	−	18.6387i	0.893628	−	1.31142i
$203$	2.56708	+	2.56708i	0.180174	+	0.180174i
$204$	13.4903	+	2.02644i	0.944510	+	0.141879i
$205$	11.3087	+	19.3069i	0.789832	+	1.34845i
$206$	−7.76037	−	0.579610i	−0.540691	−	0.0403833i
$207$			3.47696i			0.241666i
$208$	−14.4221	+	0.0415309i	−0.999996	+	0.00287965i
$209$	−19.4170			−1.34310
$210$	7.15450	−	10.6420i	0.493707	−	0.734366i
$211$	−14.5986	−	8.42853i	−1.00501	−	0.580244i	−0.0952848	−	0.995450i	$-0.530376\pi$
$211$	−14.5986	−	8.42853i	−1.00501	−	0.580244i	−0.909727	+	0.415206i	$0.863710\pi$
$212$	0.423060	−	2.81637i	0.0290559	−	0.193429i
$213$	−4.30744	−	4.30744i	−0.295141	−	0.295141i
$214$	−5.82611	−	3.97004i	−0.398265	−	0.271387i
$215$	−3.19696	+	3.23726i	−0.218031	+	0.220779i
$216$	3.50292	−	15.4005i	0.238343	−	1.04787i
$217$	7.57748	−	4.37486i	0.514393	−	0.296985i
$218$	6.74523	+	7.83414i	0.456845	+	0.530595i
$219$	0.239735	+	0.894702i	0.0161998	+	0.0604584i
$220$	8.71214	+	21.7642i	0.587373	+	1.46734i
$221$	14.0974	+	13.0312i	0.948294	+	0.876575i
$222$	−1.92088	+	5.49396i	−0.128921	+	0.368731i
$223$	5.18448	+	19.3487i	0.347178	+	1.29569i	0.890046	+	0.455870i	$0.150672\pi$
$223$	5.18448	+	19.3487i	0.347178	+	1.29569i	−0.542868	+	0.839818i	$0.682662\pi$
$224$	−14.4210	−	10.6154i	−0.963542	−	0.709269i
$225$	5.92652	+	3.32340i	0.395101	+	0.221560i
$226$	5.54317	+	11.5032i	0.368726	+	0.765178i
$227$	−23.7809	−	6.37207i	−1.57839	−	0.422929i	−0.639966	−	0.768403i	$-0.721051\pi$
$227$	−23.7809	−	6.37207i	−1.57839	−	0.422929i	−0.938428	+	0.345474i	$0.887718\pi$
$228$	−5.63924	−	7.63292i	−0.373468	−	0.505502i
$229$	−6.27597	−	6.27597i	−0.414728	−	0.414728i	0.468654	−	0.883382i	$-0.344739\pi$
$229$	−6.27597	−	6.27597i	−0.414728	−	0.414728i	−0.883382	+	0.468654i	$0.844739\pi$
$230$	2.62246	−	7.65410i	0.172920	−	0.504697i
$231$	−10.6285	+	18.4092i	−0.699306	+	1.21123i
$232$	−2.37955	−	2.20458i	−0.156225	−	0.144738i
$233$	16.5736			1.08577			0.542886	−	0.839806i	$-0.317332\pi$
$233$	16.5736			1.08577			0.542886	+	0.839806i	$0.317332\pi$
$234$	5.06950	−	4.72394i	0.331403	−	0.308814i
$235$	10.4488	+	5.94569i	0.681606	+	0.387854i
$236$	−24.9114	−	10.8539i	−1.62159	−	0.706530i
$237$	7.30829	+	4.21945i	0.474725	+	0.274082i
$238$	4.43723	+	23.4193i	0.287623	+	1.51805i
$239$	−5.15038	−	5.15038i	−0.333150	−	0.333150i	0.520631	−	0.853782i	$-0.325697\pi$
$239$	−5.15038	−	5.15038i	−0.333150	−	0.333150i	−0.853782	+	0.520631i	$0.825697\pi$
$240$	−6.02536	+	9.74571i	−0.388936	+	0.629083i
$241$	4.59936	−	17.1650i	0.296271	−	1.10570i	−0.643932	−	0.765083i	$-0.722698\pi$
$241$	4.59936	−	17.1650i	0.296271	−	1.10570i	0.940203	−	0.340615i	$-0.110635\pi$
$242$	−10.1169	−	20.9946i	−0.650341	−	1.34958i
$243$	6.40546	+	11.0946i	0.410911	+	0.711718i
$244$	−10.9131	−	27.7653i	−0.698638	−	1.77749i
$245$	6.53435	+	1.70708i	0.417464	+	0.109062i
$246$	5.98310	−	17.1124i	0.381468	−	1.09105i
$247$	−0.524463	−	13.3450i	−0.0333708	−	0.849120i
$248$	−6.61661	+	4.16441i	−0.420155	+	0.264441i
$249$	−1.07806	−	4.02337i	−0.0683192	−	0.254971i
$250$	−10.5399	−	11.7861i	−0.666599	−	0.745416i
$251$	6.87561	+	11.9089i	0.433984	+	0.751683i	0.997212	−	0.0746187i	$-0.0237740\pi$
$251$	6.87561	+	11.9089i	0.433984	+	0.751683i	−0.563228	+	0.826302i	$0.690441\pi$
$252$	8.54891	−	0.967557i	0.538531	−	0.0609504i
$253$	−3.47132	+	12.9551i	−0.218240	+	0.814483i
$254$	−0.999135	+	1.46625i	−0.0626913	+	0.0920006i
$255$	14.7071	−	4.03966i	0.920996	−	0.252973i
$256$	13.2378	+	8.98668i	0.827363	+	0.561668i
$257$	−5.70735	+	9.88541i	−0.356014	+	0.616635i	−0.987291	−	0.158923i	$-0.949198\pi$
$257$	−5.70735	+	9.88541i	−0.356014	+	0.616635i	0.631277	+	0.775558i	$0.282531\pi$
$258$	3.67597	+	0.274553i	0.228856	+	0.0170929i
$259$	−10.1694			−0.631895
$260$	−14.7228	+	6.57556i	−0.913072	+	0.407799i
$261$	1.55854			0.0964710
$262$	16.5761	+	1.23804i	1.02407	+	0.0764865i
$263$	11.2907	−	19.5560i	0.696212	−	1.20588i	−0.273558	−	0.961856i	$-0.588201\pi$
$263$	11.2907	−	19.5560i	0.696212	−	1.20588i	0.969770	−	0.244020i	$-0.0784661\pi$
$264$	8.86253	−	16.7992i	0.545451	−	1.03392i
$265$	−0.843358	−	3.07040i	−0.0518070	−	0.188613i
$266$	9.33755	−	13.7030i	0.572522	−	0.840187i
$267$	0.973726	−	3.63400i	0.0595911	−	0.222397i
$268$	−2.20296	−	19.4644i	−0.134567	−	1.18898i
$269$	−0.264467	−	0.458070i	−0.0161248	−	0.0279290i	0.857850	−	0.513899i	$-0.171800\pi$
$269$	−0.264467	−	0.458070i	−0.0161248	−	0.0279290i	−0.873975	+	0.485970i	$0.838466\pi$
$270$	−3.39577	−	17.3285i	−0.206660	−	1.05458i
$271$	1.18825	+	4.43460i	0.0721809	+	0.269383i	0.992579	−	0.121599i	$-0.0388022\pi$
$271$	1.18825	+	4.43460i	0.0721809	+	0.269383i	−0.920398	+	0.390982i	$0.872136\pi$
$272$	−4.75997	−	20.7591i	−0.288616	−	1.25871i
$273$	−12.9394	−	6.80756i	−0.783126	−	0.412012i
$274$	0.107069	−	0.306232i	0.00646829	−	0.0185001i
$275$	18.7642	+	18.2999i	1.13152	+	1.10352i
$276$	−6.10089	+	2.39794i	−0.367230	+	0.144339i
$277$	−4.51565	−	7.82133i	−0.271319	−	0.469938i	0.697881	−	0.716214i	$-0.254126\pi$
$277$	−4.51565	−	7.82133i	−0.271319	−	0.469938i	−0.969200	+	0.246276i	$0.920793\pi$
$278$	3.94270	+	8.18186i	0.236467	+	0.490715i
$279$	0.972195	−	3.62828i	0.0582038	−	0.217220i
$280$	−19.5491	−	4.31796i	−1.16828	−	0.258047i
$281$	4.26190	+	4.26190i	0.254244	+	0.254244i	0.822708	−	0.568464i	$-0.192462\pi$
$281$	4.26190	+	4.26190i	0.254244	+	0.254244i	−0.568464	+	0.822708i	$0.692462\pi$
$282$	−1.81321	−	9.56996i	−0.107975	−	0.569883i
$283$	−20.5107	−	11.8419i	−1.21923	−	0.703925i	−0.254480	−	0.967078i	$-0.581904\pi$
$283$	−20.5107	−	11.8419i	−1.21923	−	0.703925i	−0.964754	+	0.263153i	$0.915238\pi$
$284$	−3.79881	+	8.71886i	−0.225418	+	0.517369i
$285$	−9.22182	−	5.24749i	−0.546254	−	0.310834i
$286$	23.6052	−	12.5401i	1.39580	−	0.741512i
$287$	31.6753			1.86973
$288$	−7.60009	+	1.15524i	−0.447839	+	0.0680732i
$289$	−5.67498	+	9.82936i	−0.333823	+	0.578198i
$290$	−3.43092	−	1.17551i	−0.201471	−	0.0690282i
$291$	9.62391	+	9.62391i	0.564163	+	0.564163i
$292$	1.16311	−	0.859316i	0.0680661	−	0.0502876i
$293$	−15.6265	−	4.18711i	−0.912911	−	0.244614i	−0.228358	−	0.973577i	$-0.573336\pi$
$293$	−15.6265	−	4.18711i	−0.912911	−	0.244614i	−0.684553	+	0.728963i	$0.740002\pi$
$294$	−2.37535	−	4.92932i	−0.138533	−	0.287484i
$295$	−30.3800	+	0.190274i	−1.76879	+	0.0110782i
$296$	9.07993	−	0.346562i	0.527760	−	0.0201435i
$297$	7.57601	+	28.2741i	0.439605	+	1.64063i
$298$	−5.58380	+	15.9704i	−0.323461	+	0.925140i
$299$	−8.99759	−	2.03585i	−0.520344	−	0.117736i
$300$	−1.74413	+	12.6911i	−0.100697	+	0.732719i
$301$	1.66702	+	6.22142i	0.0960857	+	0.358597i
$302$	9.44000	+	10.9639i	0.543211	+	0.630904i
$303$	−17.6935	+	10.2153i	−1.01646	+	0.586855i
$304$	−7.87023	+	12.5532i	−0.451389	+	0.719977i
$305$	−23.7323	−	23.4368i	−1.35891	−	1.34199i
$306$	8.45619	+	5.76224i	0.483408	+	0.329405i
$307$	6.13780	+	6.13780i	0.350303	+	0.350303i	0.860222	−	0.509920i	$-0.170325\pi$
$307$	6.13780	+	6.13780i	0.350303	+	0.350303i	−0.509920	+	0.860222i	$0.670325\pi$
$308$	32.8192	+	4.92992i	1.87004	+	0.280908i
$309$	6.10473	+	3.52457i	0.347286	+	0.200506i
$310$	−4.87675	+	7.25394i	−0.276981	+	0.411996i
$311$	16.0499			0.910109			0.455054	−	0.890464i	$-0.349620\pi$
$311$	16.0499			0.910109			0.455054	+	0.890464i	$0.349620\pi$
$312$	11.7852	+	5.63730i	0.667203	+	0.319149i
$313$			3.80254i			0.214932i	0.994209	+	0.107466i	$0.0342737\pi$
$313$			3.80254i			0.214932i	−0.994209	+	0.107466i	$0.965726\pi$
$314$	−0.416211	−	0.0310861i	−0.0234881	−	0.00175429i
$315$	8.30001	−	4.86157i	0.467652	−	0.273919i
$316$	1.95714	−	13.0289i	0.110098	−	0.732935i
$317$	−16.2722	−	16.2722i	−0.913937	−	0.913937i	0.0826420	−	0.996579i	$-0.473664\pi$
$317$	−16.2722	−	16.2722i	−0.913937	−	0.913937i	−0.996579	+	0.0826420i	$0.973664\pi$
$318$	−1.45270	+	2.13187i	−0.0814635	+	0.119549i
$319$	5.80709	+	1.55601i	0.325135	+	0.0871196i
$320$	17.6020	+	3.18916i	0.983980	+	0.178279i
$321$	3.19312	+	5.53064i	0.178222	+	0.308690i
$322$	−7.47339	−	8.67985i	−0.416476	−	0.483709i
$323$	19.0503	−	5.10451i	1.05999	−	0.284022i
$324$	−3.83381	+	4.81237i	−0.212989	+	0.267354i
$325$	−12.0703	+	13.3906i	−0.669542	+	0.742774i
$326$	−5.07557	−	1.77460i	−0.281110	−	0.0982858i
$327$	−2.42367	−	9.04527i	−0.134029	−	0.500205i
$328$	−28.2819	+	1.07946i	−1.56161	+	0.0596032i
$329$	14.7389	−	8.50950i	0.812581	−	0.469144i
$330$	1.44898	−	21.1860i	0.0797638	−	1.16625i
$331$	−5.42580	+	20.2493i	−0.298229	+	1.11300i	0.640390	+	0.768050i	$0.278773\pi$
$331$	−5.42580	+	20.2493i	−0.298229	+	1.11300i	−0.938619	+	0.344955i	$0.887894\pi$
$332$	−5.23039	+	3.86424i	−0.287055	+	0.212078i
$333$	−3.08704	+	3.08704i	−0.169169	+	0.169169i
$334$	−2.95015	−	15.5706i	−0.161425	−	0.851986i
$335$	−11.0690	−	18.8977i	−0.604763	−	1.03249i
$336$	7.59361	+	14.3331i	0.414266	+	0.781936i
$337$	14.9384			0.813745			0.406873	−	0.913485i	$-0.366619\pi$
$337$	14.9384			0.813745			0.406873	+	0.913485i	$0.366619\pi$
$338$	9.25617	+	15.8847i	0.503469	+	0.864013i
$339$		−	11.5666i		−	0.628211i
$340$	−14.2691	−	19.0628i	−0.773853	−	1.03383i
$341$	7.24478	−	12.5483i	0.392327	−	0.679530i
$342$	−1.32519	−	6.99425i	−0.0716583	−	0.378206i
$343$	−8.90786	+	8.90786i	−0.480979	+	0.480979i
$344$	−1.70045	−	5.49810i	−0.0916824	−	0.296438i
$345$	−5.14980	+	5.21471i	−0.277256	+	0.280751i
$346$	−22.7313	+	10.9538i	−1.22204	+	0.588880i
$347$	3.71138	+	6.42830i	0.199237	+	0.345089i	0.948281	−	0.317431i	$-0.102820\pi$
$347$	3.71138	+	6.42830i	0.199237	+	0.345089i	−0.749044	+	0.662520i	$0.769487\pi$
$348$	1.07487	+	2.73470i	0.0576190	+	0.146595i
$349$	9.75792	−	2.61463i	0.522329	−	0.139958i	0.0119854	−	0.999928i	$-0.496185\pi$
$349$	9.75792	−	2.61463i	0.522329	−	0.139958i	0.510344	+	0.859970i	$0.329518\pi$
$350$	−21.9382	+	4.44197i	−1.17265	+	0.237433i
$351$	−19.2276	+	5.97055i	−1.02629	+	0.318684i
$352$	−29.4712	−	3.28333i	−1.57082	−	0.175002i
$353$	14.7932	−	3.96383i	0.787364	−	0.210974i	0.157335	−	0.987545i	$-0.449710\pi$
$353$	14.7932	−	3.96383i	0.787364	−	0.210974i	0.630029	+	0.776572i	$0.283043\pi$
$354$	16.0603	+	18.6529i	0.853593	+	0.991392i
$355$	0.0665947	+	10.6328i	0.00353448	+	0.564333i
$356$	−5.83641	+	0.660559i	−0.309329	+	0.0350096i
$357$	5.58823	−	20.8556i	0.295760	−	1.10379i
$358$	−27.9088	−	19.0177i	−1.47503	−	1.00512i
$359$	10.9817	−	10.9817i	0.579590	−	0.579590i	−0.355200	−	0.934790i	$-0.615587\pi$
$359$	10.9817	−	10.9817i	0.579590	−	0.579590i	0.934790	+	0.355200i	$0.115587\pi$
$360$	−7.24515	+	4.62361i	−0.381853	+	0.243686i
$361$	4.57239	+	2.63987i	0.240652	+	0.138940i
$362$	22.2829	+	1.66427i	1.17116	+	0.0874723i
$363$			21.1104i			1.10801i
$364$	−2.50178	+	22.6892i	−0.131129	+	1.18924i
$365$	0.799620	−	1.40523i	0.0418540	−	0.0735533i
$366$	−2.01274	+	26.9485i	−0.105208	+	1.40862i
$367$	−2.03837	+	3.53057i	−0.106402	+	0.184294i	−0.914310	−	0.405014i	$-0.867266\pi$
$367$	−2.03837	+	3.53057i	−0.106402	+	0.184294i	0.807908	+	0.589309i	$0.200600\pi$
$368$	6.96856	+	7.49529i	0.363261	+	0.390719i
$369$	9.61541	−	9.61541i	0.500558	−	0.500558i
$370$	9.12410	−	4.46737i	0.474339	−	0.232248i
$371$	−4.35401	−	1.16665i	−0.226049	−	0.0605696i
$372$	7.03688	−	0.796427i	0.364845	−	0.0412928i
$373$	14.8807	−	8.59138i	0.770494	−	0.444845i	−0.0625571	−	0.998041i	$-0.519926\pi$
$373$	14.8807	−	8.59138i	0.770494	−	0.444845i	0.833051	+	0.553197i	$0.186592\pi$
$374$	25.7548	+	29.9125i	1.33175	+	1.54674i
$375$	3.96618	+	13.7623i	0.204812	+	0.710682i
$376$	−12.8699	+	8.10016i	−0.663714	+	0.417734i
$377$	−0.912562	+	4.03314i	−0.0469993	+	0.207717i
$378$	−23.5969	−	8.25030i	−1.21369	−	0.424349i
$379$	−2.96512	+	0.794503i	−0.152308	+	0.0408109i	−0.334168	−	0.942514i	$-0.608455\pi$
$379$	−2.96512	+	0.794503i	−0.152308	+	0.0408109i	0.181859	+	0.983325i	$0.441788\pi$
$380$	−2.35808	+	16.3965i	−0.120967	+	0.841122i
$381$	1.39189	−	0.803607i	0.0713086	−	0.0411701i
$382$	0.792493	+	1.64458i	0.0405475	+	0.0841440i
$383$	6.59714	+	1.76770i	0.337098	+	0.0903252i	0.423397	−	0.905944i	$-0.360837\pi$
$383$	6.59714	+	1.76770i	0.337098	+	0.0903252i	−0.0862991	+	0.996269i	$0.527504\pi$
$384$	−7.26856	−	12.5388i	−0.370922	−	0.639870i
$385$	35.7794	−	9.82766i	1.82349	−	0.500864i
$386$	18.8999	−	3.58094i	0.961979	−	0.182265i
$387$	2.39463	+	1.38254i	0.121726	+	0.0702786i
$388$	8.48751	−	19.4801i	0.430888	−	0.988954i
$389$			18.5642i			0.941243i	0.882335	+	0.470621i	$0.155970\pi$
$389$			18.5642i			0.941243i	−0.882335	+	0.470621i	$0.844030\pi$
$390$	14.5999	+	0.423614i	0.739294	+	0.0214505i
$391$		−	13.6230i		−	0.688945i
$392$	−5.80586	+	6.26665i	−0.293240	+	0.316513i
$393$	−13.0397	−	7.52845i	−0.657764	−	0.379760i
$394$	5.45212	+	28.7758i	0.274674	+	1.44970i
$395$	−3.90150	−	14.2042i	−0.196306	−	0.714689i
$396$	11.4592	−	8.46612i	0.575846	−	0.425438i
$397$	8.47931	+	2.27202i	0.425564	+	0.114030i	0.465243	−	0.885183i	$-0.345967\pi$
$397$	8.47931	+	2.27202i	0.425564	+	0.114030i	−0.0396789	+	0.999212i	$0.512633\pi$
$398$	−17.4172	+	8.39304i	−0.873045	+	0.420705i
$399$	−13.0081	+	7.51023i	−0.651219	+	0.375982i
$400$	19.4366	−	4.71373i	0.971829	−	0.235686i
$401$	−13.5256	+	3.62418i	−0.675437	+	0.180983i	−0.580203	−	0.814472i	$-0.697027\pi$
$401$	−13.5256	+	3.62418i	−0.675437	+	0.180983i	−0.0952343	+	0.995455i	$0.530360\pi$
$402$	−5.85628	+	16.7497i	−0.292085	+	0.835400i
$403$	8.81992	+	4.64027i	0.439352	+	0.231148i
$404$	24.9481	+	19.8751i	1.24121	+	0.988821i
$405$	−1.73878	+	6.65566i	−0.0864005	+	0.330723i
$406$	−3.89071	+	3.34992i	−0.193093	+	0.166254i
$407$	−14.5843	+	8.42026i	−0.722918	+	0.417377i
$408$	−4.27882	+	18.8117i	−0.211833	+	0.931319i
$409$	−10.0414	−	2.69057i	−0.496513	−	0.133040i	0.00186827	−	0.999998i	$-0.499405\pi$
$409$	−10.0414	−	2.69057i	−0.496513	−	0.133040i	−0.498381	+	0.866958i	$0.666072\pi$
$410$	−28.4194	+	13.9148i	−1.40354	+	0.687204i
$411$	−0.207790	+	0.207790i	−0.0102495	+	0.0102495i
$412$	1.63483	−	10.8833i	0.0805423	−	0.536181i
$413$	−21.5042	+	37.2463i	−1.05815	+	1.83277i
$414$	−4.90351	−	0.366236i	−0.240995	−	0.0179995i
$415$	−3.59579	+	6.31917i	−0.176510	+	0.310196i
$416$	1.46054	−	20.3437i	0.0716090	−	0.997433i
$417$		−	8.22698i		−	0.402877i
$418$	2.04524	−	27.3836i	0.100036	−	1.33937i
$419$	7.78576	+	4.49511i	0.380359	+	0.219600i	0.677975	−	0.735085i	$-0.262858\pi$
$419$	7.78576	+	4.49511i	0.380359	+	0.219600i	−0.297615	+	0.954686i	$0.596191\pi$
$420$	14.2546	+	11.2108i	0.695555	+	0.547032i
$421$	−8.88636	+	8.88636i	−0.433095	+	0.433095i	−0.889680	−	0.456585i	$-0.849072\pi$
$421$	−8.88636	+	8.88636i	−0.433095	+	0.433095i	0.456585	+	0.889680i	$0.349072\pi$
$422$	13.4243	−	19.7005i	0.653487	−	0.959004i
$423$	1.89101	−	7.05733i	0.0919438	−	0.343139i
$424$	3.92732	+	0.893289i	0.190727	+	0.0433819i
$425$	−23.2205	−	13.0213i	−1.12636	−	0.631628i
$426$	6.52843	−	5.62100i	0.316303	−	0.272339i
$427$	−45.6090	+	12.2209i	−2.20718	+	0.591411i
$428$	6.21257	−	7.79831i	0.300296	−	0.376945i
$429$	−24.1935	+	0.950816i	−1.16807	+	0.0459058i
$430$	−4.22872	−	4.84962i	−0.203927	−	0.233869i
$431$	−4.45690	+	1.19422i	−0.214681	+	0.0575236i	−0.364557	−	0.931181i	$-0.618779\pi$
$431$	−4.45690	+	1.19422i	−0.214681	+	0.0575236i	0.149875	+	0.988705i	$0.452113\pi$
$432$	21.3501	+	6.56228i	1.02721	+	0.315728i
$433$	0.167761	+	0.290571i	0.00806209	+	0.0139639i	0.870028	−	0.493002i	$-0.164100\pi$
$433$	0.167761	+	0.290571i	0.00806209	+	0.0139639i	−0.861966	+	0.506966i	$0.830767\pi$
$434$	5.37165	+	11.1472i	0.257848	+	0.535084i
$435$	2.33748	+	2.30838i	0.112073	+	0.110678i
$436$	−11.7589	+	8.68752i	−0.563148	+	0.416057i
$437$	−6.70136	+	6.70136i	−0.320569	+	0.320569i
$438$	−1.28704	+	0.243854i	−0.0614970	+	0.0116518i
$439$	8.35847	−	14.4773i	0.398928	−	0.690964i	−0.594666	−	0.803973i	$-0.702716\pi$
$439$	8.35847	−	14.4773i	0.398928	−	0.690964i	0.993594	+	0.113009i	$0.0360490\pi$
$440$	−31.6115	+	9.99414i	−1.50702	+	0.476452i
$441$		−	4.10447i		−	0.195451i
$442$	−19.8627	+	18.5087i	−0.944770	+	0.880371i
$443$	−9.18330			−0.436312			−0.218156	−	0.975914i	$-0.570004\pi$
$443$	−9.18330			−0.436312			−0.218156	+	0.975914i	$0.570004\pi$
$444$	−7.54573	−	3.28768i	−0.358104	−	0.156026i
$445$	−5.66648	+	3.31904i	−0.268617	+	0.157337i
$446$	−27.8333	+	5.27356i	−1.31795	+	0.249710i
$447$	10.8365	−	10.8365i	0.512550	−	0.512550i
$448$	16.4897	−	19.2196i	0.779064	−	0.908039i
$449$	0.0848801	−	0.316777i	0.00400574	−	0.0149496i	−0.963894	−	0.266286i	$-0.914203\pi$
$449$	0.0848801	−	0.316777i	0.00400574	−	0.0149496i	0.967900	+	0.251336i	$0.0808701\pi$
$450$	−5.31120	+	8.00803i	−0.250372	+	0.377502i
$451$	45.4268	−	26.2271i	2.13906	−	1.23499i
$452$	−16.8066	+	6.60580i	−0.790516	+	0.310711i
$453$	−3.39195	−	12.6589i	−0.159368	−	0.594768i
$454$	11.4913	−	32.8667i	0.539315	−	1.54251i
$455$	7.72079	+	24.3251i	0.361956	+	1.14038i
$456$	11.3586	−	7.14895i	0.531915	−	0.334780i
$457$	−35.0417	+	9.38941i	−1.63918	+	0.439218i	−0.956556	−	0.291548i	$-0.905830\pi$
$457$	−35.0417	+	9.38941i	−1.63918	+	0.439218i	−0.682628	+	0.730766i	$0.739163\pi$
$458$	9.51197	−	8.18985i	0.444465	−	0.382687i
$459$	−14.8658	−	25.7484i	−0.693877	−	1.20183i
$460$	10.5182	+	4.50464i	0.490416	+	0.210030i
$461$	8.10674	+	2.17219i	0.377568	+	0.101169i	0.442612	−	0.896713i	$-0.354052\pi$
$461$	8.10674	+	2.17219i	0.377568	+	0.101169i	−0.0650435	+	0.997882i	$0.520719\pi$
$462$	−24.8427	−	16.9283i	−1.15579	−	0.787578i
$463$	1.21737	+	1.21737i	0.0565762	+	0.0565762i	0.734829	−	0.678253i	$-0.237262\pi$
$463$	1.21737	+	1.21737i	0.0565762	+	0.0565762i	−0.678253	+	0.734829i	$0.737262\pi$
$464$	3.35973	−	3.12363i	0.155972	−	0.145011i
$465$	6.83200	−	4.00172i	0.316827	−	0.185575i
$466$	−1.74573	+	23.3735i	−0.0808693	+	1.08276i
$467$		−	27.0920i		−	1.25367i	−0.779153	−	0.626834i	$-0.784351\pi$
$467$		−	27.0920i		−	1.25367i	0.779153	−	0.626834i	$-0.215649\pi$
$468$	6.12813	+	7.64702i	0.283273	+	0.353484i
$469$	−31.0039			−1.43163
$470$	−9.48572	+	14.1096i	−0.437544	+	0.650825i
$471$	0.327414	+	0.189033i	0.0150865	+	0.00871017i
$472$	17.9311	−	33.9889i	0.825345	−	1.56447i
$473$	7.54209	+	7.54209i	0.346785	+	0.346785i
$474$	−6.72042	+	9.86234i	−0.308679	+	0.452992i
$475$	5.01714	+	17.8279i	0.230202	+	0.818001i
$476$	−33.4953	+	3.79096i	−1.53525	+	0.173758i
$477$	−1.67586	+	0.967561i	−0.0767326	+	0.0443016i
$478$	7.80601	−	6.72101i	0.357038	−	0.307412i
$479$	−5.80742	−	21.6736i	−0.265348	−	0.990291i	−0.962037	−	0.272919i	$-0.912011\pi$
$479$	−5.80742	−	21.6736i	−0.265348	−	0.990291i	0.696689	−	0.717373i	$-0.254656\pi$
$480$	−13.1096	−	9.52402i	−0.598368	−	0.434710i
$481$	−6.18102	−	9.79610i	−0.281830	−	0.446664i
$482$	23.7232	+	8.29444i	1.08056	+	0.377801i
$483$	2.68531	+	10.0217i	0.122186	+	0.456004i
$484$	30.6740	−	12.0564i	1.39427	−	0.548016i
$485$	−0.148790	−	23.7565i	−0.00675618	−	1.07873i
$486$	−16.3212	+	7.86491i	−0.740346	+	0.356760i
$487$	2.90085	+	0.777279i	0.131450	+	0.0352219i	0.323944	−	0.946076i	$-0.394991\pi$
$487$	2.90085	+	0.777279i	0.131450	+	0.0352219i	−0.192494	+	0.981298i	$0.561658\pi$
$488$	40.3064	−	12.4660i	1.82459	−	0.564309i
$489$	3.44397	+	3.44397i	0.155742	+	0.155742i
$490$	−3.09575	+	9.03548i	−0.139852	+	0.408182i
$491$	3.60396	−	6.24225i	0.162645	−	0.281709i	−0.773172	−	0.634197i	$-0.781331\pi$
$491$	3.60396	−	6.24225i	0.162645	−	0.281709i	0.935816	+	0.352488i	$0.114664\pi$
$492$	23.5032	+	10.2404i	1.05961	+	0.461671i
$493$	−6.10646			−0.275021
$494$	18.8755	+	0.666009i	0.849247	+	0.0299652i
$495$	7.87798	−	13.8446i	0.354089	−	0.622268i
$496$	−5.17607	−	9.76996i	−0.232412	−	0.438684i
$497$	13.0360	+	7.52634i	0.584745	+	0.337603i
$498$	5.78765	−	1.09658i	0.259351	−	0.0491389i
$499$	−30.2228	−	30.2228i	−1.35296	−	1.35296i	−0.882331	−	0.470629i	$-0.844027\pi$
$499$	−30.2228	−	30.2228i	−1.35296	−	1.35296i	−0.470629	−	0.882331i	$-0.655973\pi$
$500$	17.7319	−	13.6228i	0.792995	−	0.609228i
$501$	−3.71541	+	13.8661i	−0.165992	+	0.619491i
$502$	−17.5192	+	8.44218i	−0.781919	+	0.376793i
$503$	−13.7312	−	23.7832i	−0.612244	−	1.06044i	−0.990861	−	0.134885i	$-0.956934\pi$
$503$	−13.7312	−	23.7832i	−0.612244	−	1.06044i	0.378617	−	0.925553i	$-0.376400\pi$
$504$	0.464058	+	12.1583i	0.0206708	+	0.541575i
$505$	34.5040	+	9.01410i	1.53541	+	0.401122i
$506$	−17.9048	−	6.26014i	−0.795966	−	0.278297i
$507$	−1.30696	−	16.6021i	−0.0580440	−	0.737324i
$508$	−1.96259	−	1.56351i	−0.0870758	−	0.0693695i
$509$	1.06833	+	3.98708i	0.0473531	+	0.176724i	0.985552	−	0.169372i	$-0.0541739\pi$
$509$	1.06833	+	3.98708i	0.0473531	+	0.176724i	−0.938199	+	0.346096i	$0.887507\pi$
$510$	4.14794	+	21.1668i	0.183674	+	0.937280i
$511$	−1.14442	−	1.98219i	−0.0506261	−	0.0876870i
$512$	−14.0682	+	17.7225i	−0.621730	+	0.783231i
$513$	−5.35328	+	19.9787i	−0.236353	+	0.882082i
$514$	−13.3401	−	9.09024i	−0.588406	−	0.400953i
$515$	−3.25899	−	11.8650i	−0.143608	−	0.522832i
$516$	−0.774395	+	5.15525i	−0.0340909	+	0.226947i
$517$	14.0917	−	24.4076i	0.619754	−	1.07345i
$518$	1.07116	−	14.3417i	0.0470641	−	0.630140i
$519$	22.8566			1.00329
$520$	−7.72263	−	21.4560i	−0.338660	−	0.940909i
$521$	31.6966			1.38865			0.694326	−	0.719660i	$-0.255702\pi$
$521$	31.6966			1.38865			0.694326	+	0.719660i	$0.255702\pi$
$522$	−0.164164	+	2.19798i	−0.00718525	+	0.0962030i
$523$	14.2647	−	24.7072i	0.623751	−	1.08037i	−0.365030	−	0.930996i	$-0.618941\pi$
$523$	14.2647	−	24.7072i	0.623751	−	1.08037i	0.988781	−	0.149373i	$-0.0477254\pi$
$524$	−3.49198	+	23.2466i	−0.152548	+	1.01553i
$525$	19.6488	+	5.00196i	0.857545	+	0.218304i
$526$	26.3903	+	17.9829i	1.15067	+	0.784093i
$527$	−3.80913	+	14.2159i	−0.165928	+	0.619253i
$528$	22.7582	+	14.2682i	0.990421	+	0.620943i
$529$	−8.22687	−	14.2494i	−0.357690	−	0.619537i
$530$	4.41898	−	0.865963i	0.191948	−	0.0376150i
$531$	4.77872	+	17.8344i	0.207379	+	0.773948i
$532$	18.3416	+	14.6120i	0.795211	+	0.633510i
$533$	19.2524	+	30.5126i	0.833916	+	1.32165i
$534$	5.02241	+	1.75601i	0.217341	+	0.0759899i
$535$	2.81764	−	10.7853i	0.121817	−	0.466290i
$536$	27.6824	−	1.05658i	1.19570	−	0.0456373i
$537$	15.2960	+	26.4935i	0.660071	+	1.14328i
$538$	0.673866	−	0.324724i	0.0290524	−	0.0139998i
$539$	4.09781	−	15.2932i	0.176505	−	0.658726i
$540$	24.7958	−	2.96376i	1.06704	−	0.127540i
$541$	−26.4185	−	26.4185i	−1.13582	−	1.13582i	−0.989192	−	0.146628i	$-0.953158\pi$
$541$	−26.4185	−	26.4185i	−1.13582	−	1.13582i	−0.146628	−	0.989192i	$-0.546842\pi$
$542$	−6.37921	+	1.20866i	−0.274011	+	0.0519165i
$543$	−17.5289	−	10.1203i	−0.752239	−	0.434306i
$544$	29.7777	−	4.52632i	1.27671	−	0.194064i
$545$	−8.08400	+	14.2066i	−0.346281	+	0.608546i
$546$	10.9635	−	17.5311i	0.469196	−	0.750264i
$547$	−5.03031			−0.215081			−0.107540	−	0.994201i	$-0.534297\pi$
$547$	−5.03031			−0.215081			−0.107540	+	0.994201i	$0.534297\pi$
$548$	0.420597	+	0.183254i	0.0179670	+	0.00782823i
$549$	−10.1354	+	17.5550i	−0.432567	+	0.749229i
$550$	−27.7845	+	24.5353i	−1.18474	+	1.04619i
$551$	3.00386	+	3.00386i	0.127969	+	0.127969i
$552$	−2.73916	−	8.85657i	−0.116586	−	0.376961i
$553$	−20.1423	−	5.39712i	−0.856538	−	0.229509i
$554$	11.5059	−	5.54451i	0.488841	−	0.235564i
$555$	−9.20219	+	0.0576344i	−0.390611	+	0.00244644i
$556$	−11.9541	+	4.69851i	−0.506965	+	0.199261i
$557$	−5.09289	−	19.0069i	−0.215793	−	0.805350i	−0.985886	−	0.167418i	$-0.946457\pi$
$557$	−5.09289	−	19.0069i	−0.215793	−	0.805350i	0.770093	−	0.637931i	$-0.220210\pi$
$558$	5.01451	+	1.75325i	0.212281	+	0.0742208i
$559$	−4.97982	+	5.38725i	−0.210624	+	0.227857i
$560$	8.14870	−	27.1150i	0.344345	−	1.14582i
$561$	−9.25412	−	34.5368i	−0.390709	−	1.45815i
$562$	−6.45941	+	5.56158i	−0.272474	+	0.234601i
$563$	22.1022	−	12.7607i	0.931497	−	0.537800i	0.0442124	−	0.999022i	$-0.485922\pi$
$563$	22.1022	−	12.7607i	0.931497	−	0.537800i	0.887285	+	0.461222i	$0.152589\pi$
$564$	13.6874	−	1.54912i	0.576342	−	0.0652298i
$565$	−14.1866	+	14.3654i	−0.596833	+	0.604356i
$566$	18.8608	−	27.6786i	0.792780	−	1.16342i
$567$	6.88603	+	6.88603i	0.289186	+	0.289186i
$568$	−11.8959	−	6.27579i	−0.499143	−	0.263326i
$569$	−15.4291	−	8.90800i	−0.646822	−	0.373443i	0.140416	−	0.990093i	$-0.455156\pi$
$569$	−15.4291	−	8.90800i	−0.646822	−	0.373443i	−0.787238	+	0.616650i	$0.788489\pi$
$570$	8.37181	−	12.4527i	0.350657	−	0.521585i
$571$	−25.2470			−1.05655			−0.528277	−	0.849072i	$-0.677162\pi$
$571$	−25.2470			−1.05655			−0.528277	+	0.849072i	$0.677162\pi$
$572$	15.1987	+	34.6109i	0.635491	+	1.44715i
$573$		−	1.65365i		−	0.0690821i
$574$	−3.33642	+	44.6712i	−0.139259	+	1.86454i
$575$	12.7918	−	0.160240i	0.533456	−	0.00668245i
$576$	−0.828686	−	10.8400i	−0.0345286	−	0.451666i
$577$	−23.7085	−	23.7085i	−0.986997	−	0.986997i	0.0129200	−	0.999917i	$-0.495887\pi$
$577$	−23.7085	−	23.7085i	−0.986997	−	0.986997i	−0.999917	+	0.0129200i	$0.995887\pi$
$578$	−13.2644	−	9.03869i	−0.551728	−	0.375960i
$579$	−16.8309	−	4.50982i	−0.699468	−	0.187422i
$580$	2.01919	−	4.71476i	0.0838422	−	0.195770i
$581$	5.14631	+	8.91367i	0.213505	+	0.369801i
$582$	−14.5862	+	12.5587i	−0.604616	+	0.520577i
$583$	−7.21025	+	1.93198i	−0.298618	+	0.0800144i
$584$	1.08937	+	1.73084i	0.0450783	+	0.0716225i
$585$	9.72792	+	5.04044i	0.402200	+	0.208397i
$586$	7.55100	−	21.5968i	0.311929	−	0.892156i
$587$	2.36777	+	8.83664i	0.0977284	+	0.364727i	0.997419	−	0.0718009i	$-0.0228746\pi$
$587$	2.36777	+	8.83664i	0.0977284	+	0.364727i	−0.899691	+	0.436528i	$0.856208\pi$
$588$	7.20195	−	2.83071i	0.297003	−	0.116737i
$589$	8.86677	−	5.11923i	0.365349	−	0.210934i
$590$	2.93165	−	42.8645i	0.120694	−	1.76470i
$591$	6.86638	−	25.6257i	0.282445	−	1.05410i
$592$	−0.467656	+	12.8418i	−0.0192205	+	0.527795i
$593$	9.56293	−	9.56293i	0.392702	−	0.392702i	−0.482947	−	0.875650i	$-0.660434\pi$
$593$	9.56293	−	9.56293i	0.392702	−	0.392702i	0.875650	+	0.482947i	$0.160434\pi$
$594$	−40.6725	+	7.70618i	−1.66881	+	0.316188i
$595$	−32.5200	+	19.0480i	−1.33319	+	0.780892i
$596$	−21.9347	−	9.55695i	−0.898478	−	0.391468i
$597$	17.5132			0.716769
$598$	3.81886	−	12.4747i	0.156165	−	0.510130i
$599$		−	18.3869i		−	0.751267i	−0.926768	−	0.375634i	$-0.877425\pi$
$599$		−	18.3869i		−	0.751267i	0.926768	−	0.375634i	$-0.122575\pi$
$600$	−17.7143	−	3.79649i	−0.723183	−	0.154991i
$601$	−12.6772	+	21.9576i	−0.517116	+	0.895671i	0.482687	+	0.875793i	$0.339661\pi$
$601$	−12.6772	+	21.9576i	−0.517116	+	0.895671i	−0.999802	+	0.0198777i	$0.993672\pi$
$602$	−8.94957	+	1.69567i	−0.364757	+	0.0691102i
$603$	−9.41161	+	9.41161i	−0.383270	+	0.383270i
$604$	−16.4566	+	12.1582i	−0.669610	+	0.494712i
$605$	25.8922	−	26.2185i	1.05267	−	1.06593i
$606$	−12.5428	−	26.0288i	−0.509518	−	1.05735i
$607$	14.7301	+	25.5133i	0.597877	+	1.03555i	0.993134	+	0.116983i	$0.0373222\pi$
$607$	14.7301	+	25.5133i	0.597877	+	1.03555i	−0.395257	+	0.918571i	$0.629345\pi$
$608$	−16.8747	−	12.4215i	−0.684358	−	0.503760i
$609$	4.49220	−	1.20368i	0.182033	−	0.0487756i
$610$	35.5524	−	31.0006i	1.43947	−	1.25518i
$611$	17.1555	+	9.02574i	0.694038	+	0.365142i
$612$	−9.01710	+	11.3187i	−0.364495	+	0.457531i
$613$	35.3770	−	9.47923i	1.42886	−	0.382862i	0.540243	−	0.841509i	$-0.318332\pi$
$613$	35.3770	−	9.47923i	1.42886	−	0.382862i	0.888619	+	0.458647i	$0.151666\pi$
$614$	−9.30255	+	8.00954i	−0.375420	+	0.323239i
$615$	28.6627	−	0.179518i	1.15579	−	0.00723885i
$616$	−10.4095	+	45.7651i	−0.419411	+	1.84393i
$617$	−7.80027	+	29.1110i	−0.314027	+	1.17197i	0.610865	+	0.791735i	$0.290822\pi$
$617$	−7.80027	+	29.1110i	−0.314027	+	1.17197i	−0.924892	+	0.380230i	$0.875845\pi$
$618$	−5.61367	+	8.23817i	−0.225815	+	0.331388i
$619$	−0.0903946	+	0.0903946i	−0.00363326	+	0.00363326i	−0.708921	−	0.705288i	$-0.750818\pi$
$619$	−0.0903946	+	0.0903946i	−0.00363326	+	0.00363326i	0.705288	+	0.708921i	$0.250818\pi$
$620$	−9.71645	−	7.64169i	−0.390222	−	0.306898i
$621$	12.3729	+	7.14347i	0.496506	+	0.286658i
$622$	−1.69057	+	22.6350i	−0.0677858	+	0.907581i
$623$			9.29653i			0.372458i
$624$	−9.19156	+	16.0267i	−0.367957	+	0.641579i
$625$	11.9537	−	21.9570i	0.478150	−	0.878278i
$626$	−5.36266	−	0.400529i	−0.214335	−	0.0160084i
$627$	−12.4369	+	21.5414i	−0.496684	+	0.860282i
$628$	0.0876806	−	0.583702i	0.00349884	−	0.0232922i
$629$	12.0953	−	12.0953i	0.482269	−	0.482269i
$630$	5.98195	+	12.2175i	0.238327	+	0.486755i
$631$	−1.53848	−	0.412235i	−0.0612460	−	0.0164108i	0.228066	−	0.973646i	$-0.426760\pi$
$631$	−1.53848	−	0.412235i	−0.0612460	−	0.0164108i	−0.289312	+	0.957235i	$0.593426\pi$
$632$	18.1684	+	4.13249i	0.722699	+	0.164382i
$633$	−18.7014	+	10.7972i	−0.743313	+	0.429152i
$634$	24.6624	−	21.2345i	0.979470	−	0.843328i
$635$	−2.71432	−	0.709111i	−0.107715	−	0.0281402i
$636$	−2.85352	−	2.27328i	−0.113150	−	0.0901413i
$637$	10.6214	+	2.40327i	0.420837	+	0.0952211i
$638$	−2.80609	+	8.02576i	−0.111094	+	0.317743i
$639$	6.24195	−	1.67253i	0.246928	−	0.0661641i
$640$	−6.35167	+	24.4879i	−0.251072	+	0.967968i
$641$	1.13746	−	0.656711i	0.0449268	−	0.0259385i	−0.477368	−	0.878703i	$-0.658409\pi$
$641$	1.13746	−	0.656711i	0.0449268	−	0.0259385i	0.522295	+	0.852765i	$0.325076\pi$
$642$	−8.13612	+	3.92065i	−0.321107	+	0.154736i
$643$	−13.0865	−	3.50653i	−0.516083	−	0.138284i	−0.00862865	−	0.999963i	$-0.502747\pi$
$643$	−13.0865	−	3.50653i	−0.516083	−	0.138284i	−0.507454	+	0.861679i	$0.669413\pi$
$644$	13.0282	−	9.62534i	0.513385	−	0.379292i
$645$	1.54373	+	5.62026i	0.0607845	+	0.221297i
$646$	5.19221	+	27.4040i	0.204285	+	1.07820i
$647$	37.7825	+	21.8138i	1.48538	+	0.857587i	0.999862	−	0.0166367i	$-0.00529587\pi$
$647$	37.7825	+	21.8138i	1.48538	+	0.857587i	0.485523	+	0.874224i	$0.338629\pi$
$648$	−6.38299	−	5.91366i	−0.250748	−	0.232310i
$649$			71.2219i			2.79570i
$650$	−17.6131	−	18.4331i	−0.690843	−	0.723005i
$651$		−	11.2087i		−	0.439304i
$652$	3.03731	−	6.97109i	0.118950	−	0.273009i
$653$	0.984294	+	0.568283i	0.0385184	+	0.0222386i	0.519136	−	0.854692i	$-0.326254\pi$
$653$	0.984294	+	0.568283i	0.0385184	+	0.0222386i	−0.480617	+	0.876931i	$0.659587\pi$
$654$	13.0117	−	2.46531i	0.508798	−	0.0964014i
$655$	6.96117	+	25.3435i	0.271995	+	0.990251i
$656$	1.45664	−	39.9992i	0.0568722	−	1.56171i
$657$	−0.949121	−	0.254316i	−0.0370287	−	0.00992181i
$658$	10.4483	+	21.6823i	0.407319	+	0.845266i
$659$	−39.4071	+	22.7517i	−1.53508	+	0.886280i	−0.535966	+	0.844240i	$0.680053\pi$
$659$	−39.4071	+	22.7517i	−1.53508	+	0.886280i	−0.999116	+	0.0420405i	$0.986614\pi$
$660$	29.7257	+	4.27504i	1.15707	+	0.166406i
$661$	1.47406	−	0.394973i	0.0573343	−	0.0153627i	−0.230038	−	0.973182i	$-0.573885\pi$
$661$	1.47406	−	0.394973i	0.0573343	−	0.0153627i	0.287372	+	0.957819i	$0.407218\pi$
$662$	−27.9859	−	9.78483i	−1.08770	−	0.380298i
$663$	23.4866	−	7.29304i	0.912143	−	0.283238i
$664$	−4.89875	−	7.78336i	−0.190108	−	0.302053i
$665$	25.3671	+	6.62709i	0.983693	+	0.256988i
$666$	−4.02845	−	4.67877i	−0.156099	−	0.181299i
$667$	2.54121	−	1.46717i	0.0983960	−	0.0568090i
$668$	22.2697	−	2.52047i	0.861642	−	0.0975198i
$669$	24.7864	+	6.64150i	0.958298	+	0.256775i
$670$	27.8171	−	13.6199i	1.07467	−	0.526182i
$671$	−55.2908	+	55.2908i	−2.13448	+	2.13448i
$672$	−21.0137	+	9.19943i	−0.810619	+	0.354876i
$673$	19.5297	−	33.8264i	0.752813	−	1.30391i	−0.193641	−	0.981072i	$-0.562030\pi$
$673$	19.5297	−	33.8264i	0.752813	−	1.30391i	0.946454	−	0.322838i	$-0.104637\pi$
$674$	−1.57349	+	21.0674i	−0.0606085	+	0.811485i
$675$	24.0025	−	14.2617i	0.923858	−	0.548932i
$676$	−23.3769	+	11.3807i	−0.899112	+	0.437718i
$677$		−	38.8754i		−	1.49410i	−0.664765	−	0.747052i	$-0.731468\pi$
$677$		−	38.8754i		−	1.49410i	0.664765	−	0.747052i	$-0.268532\pi$
$678$	16.3122	+	1.21833i	0.626466	+	0.0467897i
$679$	−29.1257	−	16.8158i	−1.11774	−	0.645330i
$680$	28.3870	−	18.1156i	1.08859	−	0.694703i
$681$	−22.3013	+	22.3013i	−0.854588	+	0.854588i
$682$	16.9336	+	11.5390i	0.648422	+	0.441849i
$683$	−2.14741	+	8.01425i	−0.0821684	+	0.306657i	−0.994763	−	0.102209i	$-0.967409\pi$
$683$	−2.14741	+	8.01425i	−0.0821684	+	0.306657i	0.912595	+	0.408866i	$0.134076\pi$
$684$	10.0035	−	1.13218i	0.382493	−	0.0432901i
$685$	0.512927	−	0.00321252i	0.0195979	−	0.000122744i
$686$	−11.6243	−	13.5009i	−0.443820	−	0.515467i
$687$	−10.9825	+	2.94275i	−0.419008	+	0.112273i
$688$	7.93301	−	1.81900i	0.302443	−	0.0693487i
$689$	−1.52257	−	4.90329i	−0.0580052	−	0.186800i
$690$	−6.81180	−	7.81196i	−0.259321	−	0.297396i
$691$	37.0478	−	9.92693i	1.40937	−	0.377638i	0.527667	−	0.849451i	$-0.323067\pi$
$691$	37.0478	−	9.92693i	1.40937	−	0.377638i	0.881699	+	0.471813i	$0.156400\pi$
$692$	−13.0537	−	33.2114i	−0.496226	−	1.26251i
$693$	−11.2750	−	19.5289i	−0.428302	−	0.741840i
$694$	−9.45667	+	4.55700i	−0.358970	+	0.172981i
$695$	−10.0905	+	10.2177i	−0.382754	+	0.387579i
$696$	−3.96993	+	1.22782i	−0.150480	+	0.0465404i
$697$	−37.6739	+	37.6739i	−1.42700	+	1.42700i
$698$	2.65955	+	14.0369i	0.100665	+	0.531303i
$699$	10.6157	−	18.3869i	0.401522	−	0.695456i
$700$	−3.95365	−	31.4070i	−0.149434	−	1.18707i
$701$		−	16.2086i		−	0.612192i	−0.952001	−	0.306096i	$-0.900977\pi$
$701$		−	16.2086i		−	0.612192i	0.952001	−	0.306096i	$-0.0990228\pi$
$702$	−6.39490	−	27.7453i	−0.241360	−	1.04718i
$703$	−11.8997			−0.448805
$704$	7.73470	−	41.2170i	0.291512	−	1.55342i
$705$	13.2889	−	7.78370i	0.500487	−	0.293151i
$706$	4.03194	+	21.2802i	0.151744	+	0.800891i
$707$	35.6983	−	35.6983i	1.34257	−	1.34257i
$708$	−27.9976	+	20.6848i	−1.05221	+	0.777382i
$709$	10.3299	−	38.5519i	0.387949	−	1.44785i	−0.445516	−	0.895274i	$-0.646980\pi$
$709$	10.3299	−	38.5519i	0.387949	−	1.44785i	0.833465	−	0.552572i	$-0.186354\pi$
$710$	−15.0024	−	1.02606i	−0.563029	−	0.0385074i
$711$	−7.75281	+	4.47608i	−0.290753	+	0.167866i
$712$	−0.316816	−	8.30059i	−0.0118732	−	0.311078i
$713$	−1.83040	−	6.83115i	−0.0685491	−	0.255829i
$714$	28.8237	+	10.0778i	1.07870	+	0.377151i
$715$	31.2139	+	28.4928i	1.16733	+	1.06557i
$716$	29.7601	−	37.3562i	1.11219	−	1.39607i
$717$	−9.01278	+	2.41497i	−0.336588	+	0.0901886i
$718$	14.3306	+	16.6440i	0.534812	+	0.621149i
$719$	−13.6289	−	23.6060i	−0.508273	−	0.880354i	−0.999954	−	0.00957904i	$-0.996951\pi$
$719$	−13.6289	−	23.6060i	−0.508273	−	0.880354i	0.491681	−	0.870775i	$-0.336382\pi$
$720$	−5.75746	−	10.7047i	−0.214568	−	0.398942i
$721$	−16.8252	−	4.50830i	−0.626603	−	0.167898i
$722$	−4.20459	+	6.17031i	−0.156478	+	0.229635i
$723$	−16.0971	−	16.0971i	−0.598657	−	0.598657i
$724$	−4.69420	+	31.2499i	−0.174459	+	1.16139i
$725$	−0.0718268	−	5.73389i	−0.00266758	−	0.212951i
$726$	−29.7717	−	2.22360i	−1.10493	−	0.0825255i
$727$		−	19.5213i		−	0.724005i	−0.932177	−	0.362003i	$-0.882093\pi$
$727$		−	19.5213i		−	0.724005i	0.932177	−	0.362003i	$-0.117907\pi$
$728$	−31.7347	−	5.91812i	−1.17617	−	0.219340i
$729$	25.6404			0.949646
$730$	1.89756	+	1.27571i	0.0702317	+	0.0472161i
$731$	−9.38235	−	5.41690i	−0.347019	−	0.200351i
$732$	−37.7930	−	5.67707i	−1.39687	−	0.209831i
$733$	23.2695	+	23.2695i	0.859480	+	0.859480i	0.991277	−	0.131797i	$-0.0420748\pi$
$733$	23.2695	+	23.2695i	0.859480	+	0.859480i	−0.131797	+	0.991277i	$0.542075\pi$
$734$	−4.76440	−	3.24657i	−0.175857	−	0.119833i
$735$	6.07921	−	6.15584i	0.224235	−	0.227062i
$736$	−11.3045	+	9.03817i	−0.416690	+	0.333151i
$737$	−44.4639	+	25.6712i	−1.63785	+	0.945613i
$738$	12.5477	+	14.5733i	0.461886	+	0.536450i
$739$	6.85801	+	25.5944i	0.252276	+	0.941506i	0.969586	+	0.244752i	$0.0787066\pi$
$739$	6.85801	+	25.5944i	0.252276	+	0.941506i	−0.717310	+	0.696754i	$0.754627\pi$
$740$	5.33921	+	13.3381i	0.196273	+	0.490320i
$741$	−15.1410	−	7.96584i	−0.556217	−	0.292633i
$742$	2.10393	−	6.01751i	0.0772377	−	0.220910i
$743$	13.0686	+	48.7726i	0.479439	+	1.78929i	0.603891	+	0.797067i	$0.293616\pi$
$743$	13.0686	+	48.7726i	0.479439	+	1.78929i	−0.124452	+	0.992226i	$0.539717\pi$
$744$	0.381981	+	10.0079i	0.0140041	+	0.366908i
$745$	−26.7498	+	0.167537i	−0.980037	+	0.00613809i
$746$	10.5489	+	21.8910i	0.386222	+	0.801486i
$747$	4.26808	+	1.14363i	0.156161	+	0.0418432i
$748$	−44.8980	+	33.1709i	−1.64163	+	1.21285i
$749$	−11.1586	−	11.1586i	−0.407727	−	0.407727i
$750$	−19.8265	+	4.14383i	−0.723962	+	0.151311i
$751$	9.75454	−	16.8954i	0.355948	−	0.616520i	−0.631332	−	0.775513i	$-0.717491\pi$
$751$	9.75454	−	16.8954i	0.355948	−	0.616520i	0.987280	+	0.158993i	$0.0508246\pi$
$752$	−10.0679	−	19.0034i	−0.367139	−	0.692984i
$753$	17.6158			0.641955
$754$	−5.59175	−	1.71179i	−0.203640	−	0.0623398i
$755$	−11.3136	+	19.8823i	−0.411745	+	0.723591i
$756$	14.1208	−	32.4093i	0.513568	−	1.17872i
$757$	−8.79561	−	5.07815i	−0.319682	−	0.184568i	0.331569	−	0.943431i	$-0.392422\pi$
$757$	−8.79561	−	5.07815i	−0.319682	−	0.184568i	−0.651251	+	0.758863i	$0.725755\pi$
$758$	−0.808153	−	4.26536i	−0.0293534	−	0.154925i
$759$	12.1491	+	12.1491i	0.440984	+	0.440984i
$760$	−22.8753	−	5.05264i	−0.829776	−	0.183279i
$761$	0.231800	−	0.865091i	0.00840275	−	0.0313595i	−0.961597	−	0.274465i	$-0.911499\pi$
$761$	0.231800	−	0.865091i	0.00840275	−	0.0313595i	0.970000	+	0.243105i	$0.0781660\pi$
$762$	0.986705	+	2.04761i	0.0357446	+	0.0741769i
$763$	11.5699	+	20.0396i	0.418857	+	0.725481i
$764$	−2.40280	+	0.944415i	−0.0869303	+	0.0341677i
$765$	−4.08960	+	15.6541i	−0.147860	+	0.565976i
$766$	−3.18785	+	9.11766i	−0.115182	+	0.329435i
$767$	−48.9495	+	1.92374i	−1.76746	+	0.0694621i
$768$	18.4489	−	8.93001i	0.665719	−	0.322234i
$769$	2.88376	+	10.7623i	0.103991	+	0.388099i	0.998229	−	0.0594928i	$-0.0189483\pi$
$769$	2.88376	+	10.7623i	0.103991	+	0.388099i	−0.894238	+	0.447592i	$0.852282\pi$
$770$	10.0911	+	51.4944i	0.363657	+	1.85573i
$771$	7.31131	+	12.6636i	0.263310	+	0.456067i
$772$	3.05939	+	27.0314i	0.110110	+	0.972882i
$773$	10.3210	−	38.5185i	0.371221	−	1.38541i	−0.487568	−	0.873085i	$-0.662116\pi$
$773$	10.3210	−	38.5185i	0.371221	−	1.38541i	0.858789	−	0.512330i	$-0.171217\pi$
$774$	−2.20201	+	3.23149i	−0.0791496	+	0.116154i
$775$	−13.3933	−	3.40951i	−0.481103	−	0.122473i
$776$	26.5786	+	14.0217i	0.954114	+	0.503350i
$777$	−6.51367	+	11.2820i	−0.233676	+	0.404740i
$778$	−26.1808	−	1.95540i	−0.938628	−	0.0701046i
$779$	37.0647			1.32798
$780$	−2.13525	+	20.5454i	−0.0764543	+	0.735643i
$781$	24.9273			0.891968
$782$	19.2123	+	1.43494i	0.687031	+	0.0513133i
$783$	3.20203	−	5.54609i	0.114431	−	0.198201i
$784$	−8.22622	−	8.84800i	−0.293793	−	0.316000i
$785$	−0.174789	−	0.636352i	−0.00623848	−	0.0227124i
$786$	11.9908	−	17.5967i	0.427696	−	0.627652i
$787$	−11.7433	+	43.8265i	−0.418603	+	1.56225i	0.358905	+	0.933374i	$0.383150\pi$
$787$	−11.7433	+	43.8265i	−0.418603	+	1.56225i	−0.777508	+	0.628873i	$0.783517\pi$
$788$	−41.1564	+	4.65804i	−1.46614	+	0.165936i
$789$	−14.4637	−	25.0519i	−0.514923	−	0.891872i
$790$	20.4429	−	4.00608i	0.727325	−	0.142530i
$791$	7.39744	+	27.6076i	0.263023	+	0.981614i
$792$	10.7326	+	17.0525i	0.381367	+	0.605934i
$793$	−39.4938	−	36.5069i	−1.40247	−	1.29640i
$794$	−4.09735	+	11.7189i	−0.145409	+	0.415889i
$795$	−3.94652	−	1.03102i	−0.139969	−	0.0365664i
$796$	−10.0020	−	25.4473i	−0.354511	−	0.901954i
$797$	1.46967	+	2.54554i	0.0520584	+	0.0901678i	0.890880	−	0.454238i	$-0.150088\pi$
$797$	1.46967	+	2.54554i	0.0520584	+	0.0901678i	−0.838822	+	0.544406i	$0.816755\pi$
$798$	−9.22139	−	19.1362i	−0.326434	−	0.677414i
$799$	−7.40910	+	27.6511i	−0.262115	+	0.978227i
$800$	4.60041	+	27.9076i	0.162649	+	0.986684i
$801$	2.82207	+	2.82207i	0.0997131	+	0.0997131i
$802$	−3.68645	−	19.4567i	−0.130173	−	0.687041i
$803$	−3.28251	−	1.89516i	−0.115837	−	0.0668787i
$804$	−23.0050	−	10.0233i	−0.811324	−	0.353495i
$805$	8.95668	−	15.7403i	0.315681	−	0.554772i
$806$	−7.47312	+	11.9498i	−0.263230	+	0.420915i
$807$	−0.677582			−0.0238520
$808$	−30.6573	+	33.0905i	−1.07852	+	1.16412i
$809$	−14.0915	+	24.4072i	−0.495431	+	0.858111i	−0.999986	−	0.00526812i	$-0.998323\pi$
$809$	−14.0915	+	24.4072i	−0.495431	+	0.858111i	0.504555	+	0.863379i	$0.331656\pi$
$810$	−9.20324	−	3.15323i	−0.323369	−	0.110793i
$811$	36.1942	+	36.1942i	1.27095	+	1.27095i	0.945591	+	0.325359i	$0.105485\pi$
$811$	36.1942	+	36.1942i	1.27095	+	1.27095i	0.325359	+	0.945591i	$0.394515\pi$
$812$	−4.31452	−	5.83986i	−0.151410	−	0.204939i
$813$	5.68088	+	1.52219i	0.199237	+	0.0533854i
$814$	−10.3388	−	21.4550i	−0.362374	−	0.751997i
$815$	−0.0532452	−	8.50140i	−0.00186510	−	0.297791i
$816$	−26.0792	−	8.01584i	−0.912955	−	0.280611i
$817$	1.95066	+	7.27997i	0.0682450	+	0.254694i
$818$	4.85215	−	13.8778i	0.169651	−	0.485225i
$819$	13.1173	−	8.27658i	0.458355	−	0.289207i
$820$	−16.6304	−	41.5452i	−0.580759	−	1.45082i
$821$	4.81214	+	17.9592i	0.167945	+	0.626779i	0.997646	+	0.0685714i	$0.0218441\pi$
$821$	4.81214	+	17.9592i	0.167945	+	0.626779i	−0.829701	+	0.558208i	$0.811489\pi$
$822$	−0.271156	−	0.314930i	−0.00945767	−	0.0109845i
$823$	−13.1107	+	7.56947i	−0.457011	+	0.263855i	−0.710786	−	0.703408i	$-0.751661\pi$
$823$	−13.1107	+	7.56947i	−0.457011	+	0.263855i	0.253776	+	0.967263i	$0.418327\pi$
$824$	15.1763	+	3.45193i	0.528693	+	0.120254i
$825$	32.3208	−	9.09574i	1.12527	−	0.316673i
$826$	−50.2628	−	34.2502i	−1.74887	−	1.19172i
$827$	34.7410	+	34.7410i	1.20806	+	1.20806i	0.971654	+	0.236407i	$0.0759700\pi$
$827$	34.7410	+	34.7410i	1.20806	+	1.20806i	0.236407	+	0.971654i	$0.424030\pi$
$828$	1.03299	−	6.87678i	0.0358990	−	0.238985i
$829$	5.51285	+	3.18285i	0.191469	+	0.110545i	0.592670	−	0.805445i	$-0.298074\pi$
$829$	5.51285	+	3.18285i	0.191469	+	0.110545i	−0.401201	+	0.915990i	$0.631407\pi$
$830$	−8.53308	−	5.73670i	−0.296187	−	0.199124i
$831$	−11.5694			−0.401338
$832$	28.5366	+	4.20263i	0.989329	+	0.145700i
$833$			16.0816i			0.557195i
$834$	11.6024	+	0.866564i	0.401758	+	0.0300067i
$835$	21.6214	−	12.6643i	0.748238	−	0.438267i
$836$	38.4032	+	5.76873i	1.32820	+	0.199516i
$837$	−10.9139	−	10.9139i	−0.377241	−	0.377241i
$838$	−7.15948	+	10.5067i	−0.247320	+	0.362947i
$839$	−41.3512	−	11.0800i	−1.42760	−	0.382525i	−0.539428	−	0.842032i	$-0.681359\pi$
$839$	−41.3512	−	11.0800i	−1.42760	−	0.382525i	−0.888174	+	0.459507i	$0.848026\pi$
$840$	−17.3119	+	18.9222i	−0.597318	+	0.652879i
$841$	13.8423	+	23.9756i	0.477322	+	0.826747i
$842$	−11.5963	−	13.4683i	−0.399634	−	0.464149i
$843$	7.45800	−	1.99837i	0.256867	−	0.0688274i
$844$	26.3693	+	21.0072i	0.907668	+	0.723099i
$845$	−18.7395	+	22.2223i	−0.644657	+	0.764472i
$846$	9.75367	+	3.41022i	0.335338	+	0.117246i
$847$	−13.5012	−	50.3872i	−0.463907	−	1.73132i
$848$	−1.67346	+	5.44455i	−0.0574670	+	0.186967i
$849$	−26.2749	+	15.1698i	−0.901753	+	0.520627i
$850$	20.8097	−	31.3760i	0.713766	−	1.07619i
$851$	−2.12739	+	7.93952i	−0.0729259	+	0.272163i
$852$	7.23957	+	9.79901i	0.248024	+	0.335709i
$853$	−5.98390	+	5.98390i	−0.204885	+	0.204885i	−0.802089	−	0.597204i	$-0.796278\pi$
$853$	−5.98390	+	5.98390i	−0.204885	+	0.204885i	0.597204	+	0.802089i	$0.296278\pi$
$854$	−12.4309	−	65.6090i	−0.425376	−	2.24509i
$855$	9.71223	−	5.68876i	0.332151	−	0.194551i
$856$	10.3435	+	9.58291i	0.353532	+	0.327537i
$857$	−23.7437			−0.811071			−0.405535	−	0.914079i	$-0.632915\pi$
$857$	−23.7437			−0.811071			−0.405535	+	0.914079i	$0.632915\pi$
$858$	1.20743	−	34.2199i	0.0412210	−	1.16825i
$859$			39.1118i			1.33448i	0.744844	+	0.667238i	$0.232524\pi$
$859$			39.1118i			1.33448i	−0.744844	+	0.667238i	$0.767476\pi$
$860$	7.28476	−	5.45288i	0.248408	−	0.185942i
$861$	20.2885	−	35.1408i	0.691432	−	1.19760i
$862$	−1.21474	−	6.41128i	−0.0413742	−	0.218369i
$863$	6.37009	−	6.37009i	0.216840	−	0.216840i	−0.590325	−	0.807166i	$-0.701000\pi$
$863$	6.37009	−	6.37009i	0.216840	−	0.216840i	0.807166	+	0.590325i	$0.201000\pi$
$864$	−11.5035	+	29.4185i	−0.391358	+	1.00084i
$865$	−28.3873	−	28.0339i	−0.965197	−	0.953182i
$866$	−0.427458	+	0.205985i	−0.0145256	+	0.00699964i
$867$	7.26985	+	12.5917i	0.246897	+	0.427638i
$868$	−16.2866	+	6.40141i	−0.552803	+	0.217278i
$869$	−33.3557	+	8.93763i	−1.13151	+	0.303188i
$870$	−3.50168	+	3.05336i	−0.118718	+	0.103519i
$871$	−18.8444	−	29.8658i	−0.638517	−	1.01197i
$872$	−11.0133	−	17.4984i	−0.372957	−	0.592572i
$873$	−13.9461	+	3.73685i	−0.472004	+	0.126473i
$874$	−8.74496	−	10.1567i	−0.295803	−	0.343555i
$875$	−18.2683	−	30.3118i	−0.617583	−	1.02473i
$876$	−0.208337	−	1.84078i	−0.00703906	−	0.0621940i
$877$	4.60101	−	17.1712i	0.155365	−	0.579830i	−0.843709	−	0.536801i	$-0.819633\pi$
$877$	4.60101	−	17.1712i	0.155365	−	0.579830i	0.999074	−	0.0430291i	$-0.0137008\pi$
$878$	19.5367	+	13.3128i	0.659332	+	0.449284i
$879$	−14.6543	+	14.6543i	−0.494276	+	0.494276i
$880$	−10.7649	−	45.6339i	−0.362885	−	1.53832i
$881$	25.4582	+	14.6983i	0.857708	+	0.495198i	0.863244	−	0.504787i	$-0.168429\pi$
$881$	25.4582	+	14.6983i	0.857708	+	0.495198i	−0.00553628	+	0.999985i	$0.501762\pi$
$882$	5.78848	+	0.432332i	0.194908	+	0.0145574i
$883$		−	33.2676i		−	1.11954i	−0.828647	−	0.559771i	$-0.810889\pi$
$883$		−	33.2676i		−	1.11954i	0.828647	−	0.559771i	$-0.189111\pi$
$884$	−24.0104	−	29.9616i	−0.807559	−	1.00772i
$885$	−19.2478	+	33.8257i	−0.647009	+	1.13704i
$886$	0.967295	−	12.9511i	0.0324969	−	0.435100i
$887$	−12.8532	+	22.2624i	−0.431569	+	0.747499i	−0.997009	−	0.0772903i	$-0.975373\pi$
$887$	−12.8532	+	22.2624i	−0.431569	+	0.747499i	0.565440	+	0.824790i	$0.308707\pi$
$888$	5.43138	−	10.2953i	0.182265	−	0.345489i
$889$	−2.80827	+	2.80827i	−0.0941864	+	0.0941864i
$890$	−4.08393	−	8.34096i	−0.136894	−	0.279590i
$891$	15.5772	+	4.17389i	0.521855	+	0.139831i
$892$	−4.50548	−	39.8084i	−0.150855	−	1.33289i
$893$	17.2467	−	9.95736i	0.577137	−	0.333210i
$894$	14.1412	+	16.4240i	0.472951	+	0.549302i
$895$	13.4973	−	51.6649i	0.451166	−	1.72697i
$896$	25.3682	+	25.2796i	0.847491	+	0.844532i
$897$	−8.02170	+	8.67801i	−0.267837	+	0.289750i
$898$	0.437805	+	0.153072i	0.0146098	+	0.00510808i
$899$	−3.06204	+	0.820471i	−0.102125	+	0.0273642i
$900$	−10.7342	−	8.33381i	−0.357806	−	0.277794i
$901$	6.56616	−	3.79097i	0.218751	−	0.126296i
$902$	32.2029	+	66.8272i	1.07224	+	2.22510i
$903$	7.96985	+	2.13552i	0.265220	+	0.0710655i
$904$	−7.54579	−	24.3979i	−0.250969	−	0.811462i
$905$	9.35775	+	34.0687i	0.311062	+	1.13248i
$906$	18.2100	−	3.45022i	0.604986	−	0.114626i
$907$	38.5572	+	22.2610i	1.28027	+	0.739165i	0.976898	−	0.213707i	$-0.0685537\pi$
$907$	38.5572	+	22.2610i	1.28027	+	0.739165i	0.303373	+	0.952872i	$0.401887\pi$
$908$	45.1410	+	19.6680i	1.49806	+	0.652705i
$909$		−	21.6733i		−	0.718858i
$910$	−35.1186	+	8.32630i	−1.16417	+	0.276014i
$911$		−	2.01663i		−	0.0668140i	−0.999442	−	0.0334070i	$-0.989364\pi$
$911$		−	2.01663i		−	0.0668140i	0.999442	−	0.0334070i	$-0.0106358\pi$
$912$	8.88564	+	16.7719i	0.294233	+	0.555372i
$913$	14.7611	+	8.52230i	0.488520	+	0.282047i
$914$	−9.55073	−	50.4079i	−0.315910	−	1.66734i
$915$	−41.2020	+	11.3171i	−1.36209	+	0.374131i
$916$	10.5481	+	14.2772i	0.348519	+	0.471734i
$917$	35.9385	+	9.62969i	1.18679	+	0.318000i
$918$	37.8784	−	18.2529i	1.25017	−	0.602437i
$919$	42.4926	−	24.5331i	1.40170	−	0.809272i	0.407133	−	0.913369i	$-0.366528\pi$
$919$	42.4926	−	24.5331i	1.40170	−	0.809272i	0.994567	+	0.104097i	$0.0331951\pi$
$920$	−7.46073	+	14.3592i	−0.245973	+	0.473410i
$921$	10.7407	−	2.87796i	0.353918	−	0.0948320i
$922$	−3.91731	+	11.2040i	−0.129010	+	0.368985i
$923$	0.673298	+	17.1321i	0.0221619	+	0.563909i
$924$	26.4905	−	33.2521i	0.871474	−	1.09392i
$925$	11.4996	+	11.2150i	0.378103	+	0.368748i
$926$	−1.84507	+	1.58862i	−0.0606329	+	0.0522052i
$927$	−6.47604	+	3.73894i	−0.212701	+	0.122803i
$928$	4.05132	+	5.06720i	0.132991	+	0.166339i
$929$	17.4706	+	4.68125i	0.573193	+	0.153587i	0.533761	−	0.845636i	$-0.320778\pi$
$929$	17.4706	+	4.68125i	0.573193	+	0.153587i	0.0394326	+	0.999222i	$0.487445\pi$
$930$	4.92394	+	10.0566i	0.161462	+	0.329768i
$931$	7.91079	−	7.91079i	0.259266	−	0.259266i
$932$	−32.7794	−	4.92395i	−1.07373	−	0.161289i
$933$	10.2803	−	17.8059i	0.336561	−	0.582940i
$934$	38.2074	+	2.85365i	1.25019	+	0.0933744i
$935$	−30.8665	+	54.2441i	−1.00944	+	1.77397i
$936$	−11.4300	+	7.83693i	−0.373600	+	0.256158i
$937$			28.2050i			0.921418i	0.887551	+	0.460709i	$0.152405\pi$
$937$			28.2050i			0.921418i	−0.887551	+	0.460709i	$0.847595\pi$
$938$	3.26570	−	43.7243i	0.106629	−	1.42765i
$939$	4.21857	+	2.43559i	0.137668	+	0.0794825i
$940$	−18.8994	−	14.8638i	−0.616429	−	0.484802i
$941$	−32.5609	+	32.5609i	−1.06145	+	1.06145i	−0.0634696	+	0.997984i	$0.520217\pi$
$941$	−32.5609	+	32.5609i	−1.06145	+	1.06145i	−0.997984	+	0.0634696i	$0.979783\pi$
$942$	−0.301077	+	0.441837i	−0.00980963	+	0.0143958i
$943$	6.62631	−	24.7297i	0.215783	−	0.805311i
$944$	46.0454	+	28.8681i	1.49865	+	0.939576i
$945$	−0.247543	−	39.5239i	−0.00805257	−	1.28571i
$946$	−11.4309	+	9.84207i	−0.371651	+	0.319993i
$947$	38.3792	−	10.2837i	1.24716	−	0.334175i	0.425919	−	0.904761i	$-0.359951\pi$
$947$	38.3792	−	10.2837i	1.24716	−	0.334175i	0.821238	+	0.570586i	$0.193284\pi$
$948$	−13.2008	−	10.5165i	−0.428743	−	0.341561i
$949$	1.21385	−	2.30720i	0.0394031	−	0.0748949i
$950$	−25.6709	+	5.19775i	−0.832875	+	0.168637i
$951$	−28.4751	+	7.62989i	−0.923369	+	0.247416i
$952$	−1.81821	−	47.6372i	−0.0589286	−	1.54393i
$953$	−10.1819	−	17.6356i	−0.329825	−	0.571273i	0.652652	−	0.757658i	$-0.273656\pi$
$953$	−10.1819	−	17.6356i	−0.329825	−	0.571273i	−0.982477	+	0.186385i	$0.940323\pi$
$954$	−1.18801	−	2.46536i	−0.0384634	−	0.0798191i
$955$	−2.02822	+	2.05379i	−0.0656316	+	0.0664589i
$956$	8.65631	+	11.7166i	0.279965	+	0.378943i
$957$	5.44579	−	5.44579i	0.176037	−	0.176037i
$958$	31.1777	−	5.90720i	1.00730	−	0.190853i
$959$	0.363070	−	0.628855i	0.0117241	−	0.0203068i
$960$	14.8124	−	17.4851i	0.478070	−	0.564328i
$961$		−	23.3598i		−	0.753541i
$962$	14.4664	−	7.68516i	0.466414	−	0.247780i
$963$	−6.77467			−0.218311
$964$	−14.1963	+	32.5827i	−0.457233	+	1.04942i
$965$	15.3722	+	26.2444i	0.494847	+	0.844837i
$966$	−14.4163	+	2.73145i	−0.463838	+	0.0878829i
$967$	0.868293	−	0.868293i	0.0279224	−	0.0279224i	−0.693008	−	0.720930i	$-0.743715\pi$
$967$	0.868293	−	0.868293i	0.0279224	−	0.0279224i	0.720930	+	0.693008i	$0.243715\pi$
$968$	13.7720	+	44.5291i	0.442647	+	1.43122i
$969$	6.53905	−	24.4041i	0.210065	−	0.783971i
$970$	33.5191	+	2.29248i	1.07623	+	0.0736071i
$971$	−46.4532	+	26.8197i	−1.49075	+	0.860686i	−0.999944	−	0.0105811i	$-0.996632\pi$
$971$	−46.4532	+	26.8197i	−1.49075	+	0.860686i	−0.490809	+	0.871267i	$0.663299\pi$
$972$	−9.37263	−	23.8460i	−0.300627	−	0.764862i
$973$	5.26159	+	19.6365i	0.168679	+	0.629518i
$974$	−1.40174	+	4.00915i	−0.0449146	+	0.128461i
$975$	7.12433	+	21.9678i	0.228161	+	0.703533i
$976$	13.3350	+	58.1567i	0.426844	+	1.86155i
$977$	−11.6644	+	3.12546i	−0.373177	+	0.0999924i	−0.440533	−	0.897737i	$-0.645210\pi$
$977$	−11.6644	+	3.12546i	−0.373177	+	0.0999924i	0.0673559	+	0.997729i	$0.478544\pi$
$978$	−5.21974	+	4.49422i	−0.166909	+	0.143709i
$979$	7.69753	+	13.3325i	0.246014	+	0.426109i
$980$	−12.4165	−	5.31762i	−0.396631	−	0.169865i
$981$	9.59543	+	2.57109i	0.306358	+	0.0820885i
$982$	8.42374	+	5.74013i	0.268812	+	0.183175i
$983$	−12.7293	−	12.7293i	−0.406000	−	0.406000i	0.474341	−	0.880341i	$-0.342686\pi$
$983$	−12.7293	−	12.7293i	−0.406000	−	0.406000i	−0.880341	+	0.474341i	$0.842686\pi$
$984$	−16.9175	+	32.0676i	−0.539309	+	1.02228i
$985$	−39.9581	+	23.4047i	−1.27317	+	0.745736i
$986$	0.643206	−	8.61185i	0.0204838	−	0.274257i
$987$		−	21.8019i		−	0.693963i
$988$	−2.92745	+	26.5496i	−0.0931347	+	0.844657i
$989$	5.20597			0.165540
$990$	18.6950	+	12.5685i	0.594167	+	0.399453i
$991$	32.9604	+	19.0297i	1.04702	+	0.604498i	0.921814	−	0.387633i	$-0.126707\pi$
$991$	32.9604	+	19.0297i	1.04702	+	0.604498i	0.125207	+	0.992131i	$0.460041\pi$
$992$	14.3236	−	6.27065i	0.454776	−	0.199093i
$993$	18.9895	+	18.9895i	0.602613	+	0.602613i
$994$	−11.9874	+	17.5917i	−0.380217	+	0.557976i
$995$	−21.7510	−	21.4802i	−0.689552	−	0.680968i
$996$	0.936867	+	8.27774i	0.0296858	+	0.262290i
$997$	48.4498	−	27.9725i	1.53442	−	0.885898i	0.535271	−	0.844681i	$-0.320210\pi$
$997$	48.4498	−	27.9725i	1.53442	−	0.885898i	0.999150	−	0.0412176i	$-0.0131237\pi$
$998$	45.8063	−	39.4394i	1.44997	−	1.24843i
$999$	4.64294	+	17.3277i	0.146896	+	0.548223i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	260.2.bc.c.19.17	yes	144
4.3	odd	2	inner	260.2.bc.c.19.11	✓	144
5.4	even	2	inner	260.2.bc.c.19.20	yes	144
13.11	odd	12	inner	260.2.bc.c.219.26	yes	144
20.19	odd	2	inner	260.2.bc.c.19.26	yes	144
52.11	even	12	inner	260.2.bc.c.219.20	yes	144
65.24	odd	12	inner	260.2.bc.c.219.11	yes	144
260.219	even	12	inner	260.2.bc.c.219.17	yes	144

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
260.2.bc.c.19.11	✓	144	4.3	odd	2	inner
260.2.bc.c.19.17	yes	144	1.1	even	1	trivial
260.2.bc.c.19.20	yes	144	5.4	even	2	inner
260.2.bc.c.19.26	yes	144	20.19	odd	2	inner
260.2.bc.c.219.11	yes	144	65.24	odd	12	inner
260.2.bc.c.219.17	yes	144	260.219	even	12	inner
260.2.bc.c.219.20	yes	144	52.11	even	12	inner
260.2.bc.c.219.26	yes	144	13.11	odd	12	inner

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	260.bc (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.105332 + 1.41029i) q^{2} +(0.640517 - 1.10941i) q^{3} +(-1.97781 - 0.297096i) q^{4} +(-2.15621 + 0.592253i) q^{5} +(1.49712 + 1.02017i) q^{6} +(-0.819289 + 3.05763i) q^{7} +(0.627317 - 2.75798i) q^{8} +(0.679475 + 1.17689i) q^{9} +O(q^{10})\)	\(q+(-0.105332 + 1.41029i) q^{2} +(0.640517 - 1.10941i) q^{3} +(-1.97781 - 0.297096i) q^{4} +(-2.15621 + 0.592253i) q^{5} +(1.49712 + 1.02017i) q^{6} +(-0.819289 + 3.05763i) q^{7} +(0.627317 - 2.75798i) q^{8} +(0.679475 + 1.17689i) q^{9} +(-0.608128 - 3.10325i) q^{10} +(1.35674 + 5.06344i) q^{11} +(-1.59642 + 2.00390i) q^{12} +(-3.44336 + 1.06923i) q^{13} +(-4.22583 - 1.47750i) q^{14} +(-0.724039 + 2.77146i) q^{15} +(3.82347 + 1.17520i) q^{16} +(-2.66223 - 4.61113i) q^{17} +(-1.73132 + 0.834290i) q^{18} +(-0.958688 + 3.57787i) q^{19} +(4.44053 - 0.530762i) q^{20} +(2.86739 + 2.86739i) q^{21} +(-7.28380 + 1.38005i) q^{22} +(2.21578 + 1.27928i) q^{23} +(-2.65792 - 2.46249i) q^{24} +(4.29847 - 2.55404i) q^{25} +(-1.14523 - 4.96875i) q^{26} +5.58397 q^{27} +(2.52881 - 5.80400i) q^{28} +(0.573434 - 0.993216i) q^{29} +(-3.83229 - 1.31302i) q^{30} +(-1.95451 - 1.95451i) q^{31} +(-2.06010 + 5.26839i) q^{32} +(6.48644 + 1.73804i) q^{33} +(6.78342 - 3.26881i) q^{34} +(-0.0443310 - 7.07811i) q^{35} +(-0.994225 - 2.52953i) q^{36} +(0.831477 + 3.10311i) q^{37} +(-4.94484 - 1.72889i) q^{38} +(-1.01932 + 4.50496i) q^{39} +(0.280797 + 6.31832i) q^{40} +(-2.58986 - 9.66547i) q^{41} +(-4.34587 + 3.74181i) q^{42} +(1.76212 - 1.01736i) q^{43} +(-1.17905 - 10.4176i) q^{44} +(-2.16210 - 2.13519i) q^{45} +(-2.03755 + 2.99014i) q^{46} +(-3.80170 - 3.80170i) q^{47} +(3.75277 - 3.48905i) q^{48} +(-2.61568 - 1.51016i) q^{49} +(3.14916 + 6.33110i) q^{50} -6.82083 q^{51} +(7.12798 - 1.09173i) q^{52} +1.42398i q^{53} +(-0.588170 + 7.87499i) q^{54} +(-5.92426 - 10.1143i) q^{55} +(7.91893 + 4.17769i) q^{56} +(3.35527 + 3.35527i) q^{57} +(1.34032 + 0.913323i) q^{58} +(13.1237 + 3.51648i) q^{59} +(2.25540 - 5.26632i) q^{60} +(7.45824 + 12.9180i) q^{61} +(2.96229 - 2.55055i) q^{62} +(-4.15517 + 1.11337i) q^{63} +(-7.21295 - 3.46026i) q^{64} +(6.79135 - 4.34483i) q^{65} +(-3.13436 + 8.96466i) q^{66} +(2.53496 + 9.46061i) q^{67} +(3.89545 + 9.91087i) q^{68} +(2.83849 - 1.63881i) q^{69} +(9.98683 + 0.683032i) q^{70} +(1.23075 - 4.59322i) q^{71} +(3.67208 - 1.13570i) q^{72} +(-0.511280 + 0.511280i) q^{73} +(-4.46386 + 0.845762i) q^{74} +(-0.0802295 - 6.40467i) q^{75} +(2.95908 - 6.79153i) q^{76} -16.5937 q^{77} +(-6.24591 - 1.91205i) q^{78} +6.58756i q^{79} +(-8.94021 - 0.269518i) q^{80} +(1.53820 - 2.66424i) q^{81} +(13.9039 - 2.63435i) q^{82} +(2.29916 - 2.29916i) q^{83} +(-4.81926 - 6.52304i) q^{84} +(8.47129 + 8.36583i) q^{85} +(1.24916 + 2.59225i) q^{86} +(-0.734588 - 1.27234i) q^{87} +(14.8160 - 0.565496i) q^{88} +(2.83677 - 0.760109i) q^{89} +(3.23897 - 2.82428i) q^{90} +(-0.448203 - 11.4045i) q^{91} +(-4.00233 - 3.18848i) q^{92} +(-3.42025 + 0.916454i) q^{93} +(5.76192 - 4.96104i) q^{94} +(-0.0518738 - 8.28243i) q^{95} +(4.52527 + 5.65999i) q^{96} +(-2.74980 + 10.2624i) q^{97} +(2.40527 - 3.52978i) q^{98} +(-5.03722 + 5.03722i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9}+O(q^{10}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9	\( 144 q - 12 q^{4} - 12 q^{5} - 80 q^{9} - 12 q^{10} - 32 q^{14} - 36 q^{16} + 18 q^{20} + 8 q^{21} - 28 q^{24} + 28 q^{26} - 6 q^{30} + 16 q^{34} + 24 q^{36} - 88 q^{40} - 72 q^{41} + 68 q^{45} + 64 q^{46} - 24 q^{49} - 34 q^{50} + 80 q^{54} + 96 q^{56} - 48 q^{60} - 8 q^{61} + 40 q^{66} - 24 q^{69} - 80 q^{70} - 24 q^{74} - 28 q^{76} - 92 q^{80} - 8 q^{81} + 84 q^{84} + 20 q^{85} - 52 q^{86} - 104 q^{89} - 52 q^{94} - 124 q^{96}+O(q^{100}) \) 144 * q - 12 * q^4 - 12 * q^5 - 80 * q^9 - 12 * q^10 - 32 * q^14 - 36 * q^16 + 18 * q^20 + 8 * q^21 - 28 * q^24 + 28 * q^26 - 6 * q^30 + 16 * q^34 + 24 * q^36 - 88 * q^40 - 72 * q^41 + 68 * q^45 + 64 * q^46 - 24 * q^49 - 34 * q^50 + 80 * q^54 + 96 * q^56 - 48 * q^60 - 8 * q^61 + 40 * q^66 - 24 * q^69 - 80 * q^70 - 24 * q^74 - 28 * q^76 - 92 * q^80 - 8 * q^81 + 84 * q^84 + 20 * q^85 - 52 * q^86 - 104 * q^89 - 52 * q^94 - 124 * q^96

Introduction

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