LMFDB - Embedded newform 161.4.o.a.10.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [161,4,Mod(5,161)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(161, base_ring=CyclotomicField(66))

chi = DirichletCharacter(H, H._module([55, 3]))

N = Newforms(chi, 4, names="a")

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

chi := DirichletCharacter("161.5");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 161 = 7 \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	161.o (of order $66$, degree $20$, 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:	$9.49930751092$
Analytic rank:	$0$
Dimension:	$920$
Relative dimension:	$46$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			10.10
Character	$\chi$	$=$	161.10
Dual form			161.4.o.a.145.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.27781 + 3.69199i) q^{2} +(-0.776702 - 1.50659i) q^{3} +(-5.70955 - 4.49004i) q^{4} +(-11.9560 + 1.14166i) q^{5} +(6.55479 - 0.942437i) q^{6} +(14.8372 - 11.0841i) q^{7} +(-2.42041 + 1.55551i) q^{8} +(13.9950 - 19.6532i) q^{9} +(11.0625 - 45.6003i) q^{10} +(-4.97589 + 1.72217i) q^{11} +(-2.33004 + 12.0894i) q^{12} +(-1.04040 - 3.54328i) q^{13} +(21.9632 + 68.9422i) q^{14} +(11.0063 + 17.1261i) q^{15} +(-16.3497 - 67.3943i) q^{16} +(107.845 + 43.1745i) q^{17} +(54.6765 + 76.7824i) q^{18} +(28.9935 - 11.6073i) q^{19} +(73.3895 + 47.1646i) q^{20} +(-28.2233 - 13.7446i) q^{21} -20.5715i q^{22} +(110.090 - 6.86308i) q^{23} +(4.22345 + 2.43841i) q^{24} +(18.9019 - 3.64304i) q^{25} +(14.4112 + 0.686489i) q^{26} +(-85.7789 - 12.3331i) q^{27} +(-134.482 - 3.33456i) q^{28} +(2.52804 + 17.5829i) q^{29} +(-77.2933 + 18.7511i) q^{30} +(132.763 - 6.32429i) q^{31} +(246.798 + 23.5663i) q^{32} +(6.45939 + 6.15901i) q^{33} +(-297.205 + 342.993i) q^{34} +(-164.740 + 149.461i) q^{35} +(-168.149 + 49.3729i) q^{36} +(-66.1933 - 47.1360i) q^{37} +(5.80565 + 121.876i) q^{38} +(-4.53019 + 4.31953i) q^{39} +(27.1627 - 21.3609i) q^{40} +(115.755 + 52.8635i) q^{41} +(86.8088 - 86.6370i) q^{42} +(35.4752 - 55.2004i) q^{43} +(36.1427 + 12.5091i) q^{44} +(-144.887 + 250.952i) q^{45} +(-115.336 + 415.222i) q^{46} +(361.014 - 208.432i) q^{47} +(-88.8368 + 76.9776i) q^{48} +(97.2861 - 328.914i) q^{49} +(-10.7029 + 74.4406i) q^{50} +(-18.7168 - 196.012i) q^{51} +(-9.96924 + 24.9020i) q^{52} +(-72.1518 - 75.6706i) q^{53} +(155.143 - 300.935i) q^{54} +(57.5256 - 26.2711i) q^{55} +(-18.6709 + 49.9075i) q^{56} +(-40.0067 - 34.6660i) q^{57} +(-68.1462 - 13.1341i) q^{58} +(126.887 + 30.7824i) q^{59} +(14.0560 - 147.201i) q^{60} +(-4.31599 - 2.22505i) q^{61} +(-146.297 + 498.241i) q^{62} +(-10.1912 - 446.721i) q^{63} +(-171.897 + 376.403i) q^{64} +(16.4843 + 41.1757i) q^{65} +(-30.9929 + 15.9779i) q^{66} +(-139.492 - 723.753i) q^{67} +(-421.890 - 730.734i) q^{68} +(-95.8473 - 160.531i) q^{69} +(-341.301 - 799.199i) q^{70} +(-441.315 - 509.305i) q^{71} +(-3.30298 + 69.3382i) q^{72} +(634.485 - 806.814i) q^{73} +(258.608 - 184.154i) q^{74} +(-20.1697 - 25.6478i) q^{75} +(-217.657 - 63.9099i) q^{76} +(-54.7396 + 80.7054i) q^{77} +(-10.1589 - 22.2450i) q^{78} +(776.995 - 814.889i) q^{79} +(272.419 + 787.102i) q^{80} +(-165.017 - 476.786i) q^{81} +(-343.084 + 359.816i) q^{82} +(299.131 + 655.006i) q^{83} +(99.4284 + 205.199i) q^{84} +(-1338.68 - 393.073i) q^{85} +(158.469 + 201.509i) q^{86} +(24.5267 - 17.4654i) q^{87} +(9.36486 - 11.9084i) q^{88} +(-1.52875 + 32.0924i) q^{89} +(-741.372 - 855.589i) q^{90} +(-54.7107 - 41.0405i) q^{91} +(-659.382 - 455.125i) q^{92} +(-112.646 - 195.108i) q^{93} +(308.220 + 1599.20i) q^{94} +(-333.396 + 171.877i) q^{95} +(-156.183 - 390.127i) q^{96} +(-336.692 + 737.253i) q^{97} +(1090.03 + 779.468i) q^{98} +(-35.7913 + 121.894i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) $ 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/161\mathbb{Z}\right)^\times$.

$n$	$24$	$120$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{3}{22}\right)$

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 $

$2$	−1.27781	+	3.69199i	−0.451774	+	1.30531i	0.457535	+	0.889192i	$0.348733\pi$
$2$	−1.27781	+	3.69199i	−0.451774	+	1.30531i	−0.909308	+	0.416123i	$0.863389\pi$
$3$	−0.776702	−	1.50659i	−0.149476	−	0.289944i	0.802195	−	0.597062i	$-0.203665\pi$
$3$	−0.776702	−	1.50659i	−0.149476	−	0.289944i	−0.951671	+	0.307119i	$0.900635\pi$
$4$	−5.70955	−	4.49004i	−0.713693	−	0.561255i
$5$	−11.9560	+	1.14166i	−1.06938	+	0.102113i	−0.614870	−	0.788629i	$-0.710791\pi$
$5$	−11.9560	+	1.14166i	−1.06938	+	0.102113i	−0.454509	+	0.890742i	$0.650185\pi$
$6$	6.55479	−	0.942437i	0.445997	−	0.0641247i
$7$	14.8372	−	11.0841i	0.801134	−	0.598484i
$7$	14.8372	−	11.0841i	0.801134	−	0.598484i
$8$	−2.42041	+	1.55551i	−0.106968	+	0.0687443i
$9$	13.9950	−	19.6532i	0.518333	−	0.727897i
$10$	11.0625	−	45.6003i	0.349827	−	1.44201i
$11$	−4.97589	+	1.72217i	−0.136390	+	0.0472049i	−0.394410	−	0.918935i	$-0.629051\pi$
$11$	−4.97589	+	1.72217i	−0.136390	+	0.0472049i	0.258020	+	0.966139i	$0.416930\pi$
$12$	−2.33004	+	12.0894i	−0.0560519	+	0.290825i
$13$	−1.04040	−	3.54328i	−0.0221966	−	0.0755945i	0.947650	−	0.319311i	$-0.103452\pi$
$13$	−1.04040	−	3.54328i	−0.0221966	−	0.0755945i	−0.969846	+	0.243717i	$0.921633\pi$
$14$	21.9632	+	68.9422i	0.419279	+	1.31611i
$15$	11.0063	+	17.1261i	0.189454	+	0.294796i
$16$	−16.3497	−	67.3943i	−0.255464	−	1.05304i
$17$	107.845	+	43.1745i	1.53860	+	0.615963i	0.977340	−	0.211677i	$-0.0678924\pi$
$17$	107.845	+	43.1745i	1.53860	+	0.615963i	0.561260	+	0.827639i	$0.310317\pi$
$18$	54.6765	+	76.7824i	0.715965	+	1.00543i
$19$	28.9935	−	11.6073i	0.350083	−	0.140152i	−0.189955	−	0.981793i	$-0.560834\pi$
$19$	28.9935	−	11.6073i	0.350083	−	0.140152i	0.540038	+	0.841641i	$0.318410\pi$
$20$	73.3895	+	47.1646i	0.820520	+	0.527316i
$21$	−28.2233	−	13.7446i	−0.293277	−	0.142825i
$22$		−	20.5715i		−	0.199357i
$23$	110.090	−	6.86308i	0.998062	−	0.0622196i
$23$	110.090	−	6.86308i	0.998062	−	0.0622196i
$24$	4.22345	+	2.43841i	0.0359212	+	0.0207391i
$25$	18.9019	−	3.64304i	0.151215	−	0.0291443i
$26$	14.4112	+	0.686489i	0.108702	+	0.00517814i
$27$	−85.7789	−	12.3331i	−0.611413	−	0.0879080i
$28$	−134.482	−	3.33456i	−0.907667	−	0.0225061i
$29$	2.52804	+	17.5829i	0.0161878	+	0.112588i	0.996313	−	0.0857903i	$-0.0273415\pi$
$29$	2.52804	+	17.5829i	0.0161878	+	0.112588i	−0.980125	+	0.198379i	$0.936432\pi$
$30$	−77.2933	+	18.7511i	−0.470392	+	0.114116i
$31$	132.763	−	6.32429i	0.769193	−	0.0366412i	0.340683	−	0.940178i	$-0.389342\pi$
$31$	132.763	−	6.32429i	0.769193	−	0.0366412i	0.428510	+	0.903537i	$0.359039\pi$
$32$	246.798	+	23.5663i	1.36338	+	0.130187i
$33$	6.45939	+	6.15901i	0.0340738	+	0.0324893i
$34$	−297.205	+	342.993i	−1.49912	+	1.73008i
$35$	−164.740	+	149.461i	−0.795603	+	0.721813i
$36$	−168.149	+	49.3729i	−0.778466	+	0.228578i
$37$	−66.1933	−	47.1360i	−0.294111	−	0.209436i	0.423471	−	0.905910i	$-0.360812\pi$
$37$	−66.1933	−	47.1360i	−0.294111	−	0.209436i	−0.717582	+	0.696474i	$0.754751\pi$
$38$	5.80565	+	121.876i	0.0247842	+	0.520285i
$39$	−4.53019	+	4.31953i	−0.0186003	+	0.0177353i
$40$	27.1627	−	21.3609i	0.107370	−	0.0844366i
$41$	115.755	+	52.8635i	0.440924	+	0.201363i	0.623492	−	0.781830i	$-0.285714\pi$
$41$	115.755	+	52.8635i	0.440924	+	0.201363i	−0.182568	+	0.983193i	$0.558441\pi$
$42$	86.8088	−	86.6370i	0.318926	−	0.318295i
$43$	35.4752	−	55.2004i	0.125812	−	0.195767i	−0.772634	−	0.634852i	$-0.781061\pi$
$43$	35.4752	−	55.2004i	0.125812	−	0.195767i	0.898445	+	0.439085i	$0.144697\pi$
$44$	36.1427	+	12.5091i	0.123834	+	0.0428595i
$45$	−144.887	+	250.952i	−0.479966	+	0.831326i
$46$	−115.336	+	415.222i	−0.369682	+	1.33089i
$47$	361.014	−	208.432i	1.12041	−	0.646870i	0.178905	−	0.983866i	$-0.442744\pi$
$47$	361.014	−	208.432i	1.12041	−	0.646870i	0.941506	+	0.336997i	$0.109411\pi$
$48$	−88.8368	+	76.9776i	−0.267135	+	0.231474i
$49$	97.2861	−	328.914i	0.283633	−	0.958933i
$50$	−10.7029	+	74.4406i	−0.0302725	+	0.210550i
$51$	−18.7168	−	196.012i	−0.0513899	−	0.538179i
$52$	−9.96924	+	24.9020i	−0.0265863	+	0.0664093i
$53$	−72.1518	−	75.6706i	−0.186996	−	0.196116i	0.623562	−	0.781774i	$-0.285685\pi$
$53$	−72.1518	−	75.6706i	−0.186996	−	0.196116i	−0.810559	+	0.585658i	$0.800836\pi$
$54$	155.143	−	300.935i	0.390968	−	0.758372i
$55$	57.5256	−	26.2711i	0.141032	−	0.0644071i
$56$	−18.6709	+	49.9075i	−0.0445535	+	0.119092i
$57$	−40.0067	−	34.6660i	−0.0929652	−	0.0805548i
$58$	−68.1462	−	13.1341i	−0.154276	−	0.0297344i
$59$	126.887	+	30.7824i	0.279987	+	0.0679241i	0.373293	−	0.927713i	$-0.378228\pi$
$59$	126.887	+	30.7824i	0.279987	+	0.0679241i	−0.0933065	+	0.995637i	$0.529744\pi$
$60$	14.0560	−	147.201i	0.0302436	−	0.316726i
$61$	−4.31599	−	2.22505i	−0.00905912	−	0.00467030i	0.453691	−	0.891159i	$-0.350107\pi$
$61$	−4.31599	−	2.22505i	−0.00905912	−	0.00467030i	−0.462750	+	0.886489i	$0.653137\pi$
$62$	−146.297	+	498.241i	−0.299673	+	1.02059i
$63$	−10.1912	−	446.721i	−0.0203804	−	0.893357i
$64$	−171.897	+	376.403i	−0.335737	+	0.735162i
$65$	16.4843	+	41.1757i	0.0314557	+	0.0785726i
$66$	−30.9929	+	15.9779i	−0.0578024	+	0.0297992i
$67$	−139.492	−	723.753i	−0.254353	−	1.31971i	−0.854346	−	0.519704i	$-0.826042\pi$
$67$	−139.492	−	723.753i	−0.254353	−	1.31971i	0.599993	−	0.800005i	$-0.295170\pi$
$68$	−421.890	−	730.734i	−0.752377	−	1.30315i
$69$	−95.8473	−	160.531i	−0.167227	−	0.280081i
$70$	−341.301	−	799.199i	−0.582760	−	1.36461i
$71$	−441.315	−	509.305i	−0.737668	−	0.851314i	0.255644	−	0.966771i	$-0.417712\pi$
$71$	−441.315	−	509.305i	−0.737668	−	0.851314i	−0.993313	+	0.115456i	$0.963167\pi$
$72$	−3.30298	+	69.3382i	−0.00540640	+	0.113494i
$73$	634.485	−	806.814i	1.01727	−	1.29357i	0.0619251	−	0.998081i	$-0.480276\pi$
$73$	634.485	−	806.814i	1.01727	−	1.29357i	0.955347	−	0.295486i	$-0.0954816\pi$
$74$	258.608	−	184.154i	0.406251	−	0.289290i
$75$	−20.1697	−	25.6478i	−0.0310533	−	0.0394874i
$76$	−217.657	−	63.9099i	−0.328513	−	0.0964600i
$77$	−54.7396	+	80.7054i	−0.0810150	+	0.119445i
$78$	−10.1589	−	22.2450i	−0.0147471	−	0.0322916i
$79$	776.995	−	814.889i	1.10657	−	1.16053i	0.120755	−	0.992682i	$-0.461468\pi$
$79$	776.995	−	814.889i	1.10657	−	1.16053i	0.985812	−	0.167852i	$-0.0536830\pi$
$80$	272.419	+	787.102i	0.380716	+	1.10001i
$81$	−165.017	−	476.786i	−0.226361	−	0.654027i
$82$	−343.084	+	359.816i	−0.462040	+	0.484574i
$83$	299.131	+	655.006i	0.395590	+	0.866220i	0.997698	+	0.0678065i	$0.0216000\pi$
$83$	299.131	+	655.006i	0.395590	+	0.866220i	−0.602109	+	0.798414i	$0.705673\pi$
$84$	99.4284	+	205.199i	0.129149	+	0.266536i
$85$	−1338.68	−	393.073i	−1.70824	−	0.501586i
$86$	158.469	+	201.509i	0.198699	+	0.252667i
$87$	24.5267	−	17.4654i	0.0302246	−	0.0215228i
$88$	9.36486	−	11.9084i	0.0113443	−	0.0144254i
$89$	−1.52875	+	32.0924i	−0.00182076	+	0.0382224i	−0.999595	−	0.0284620i	$-0.990939\pi$
$89$	−1.52875	+	32.0924i	−0.00182076	+	0.0382224i	0.997774	+	0.0666844i	$0.0212421\pi$
$90$	−741.372	−	855.589i	−0.868305	−	1.00208i
$91$	−54.7107	−	41.0405i	−0.0630246	−	0.0472771i
$92$	−659.382	−	455.125i	−0.747232	−	0.515762i
$93$	−112.646	−	195.108i	−0.125600	−	0.217546i
$94$	308.220	+	1599.20i	0.338196	+	1.75473i
$95$	−333.396	+	171.877i	−0.360060	+	0.185624i
$96$	−156.183	−	390.127i	−0.166046	−	0.414762i
$97$	−336.692	+	737.253i	−0.352432	+	0.771719i	0.647521	+	0.762048i	$0.275806\pi$
$97$	−336.692	+	737.253i	−0.352432	+	0.771719i	−0.999953	+	0.00967120i	$0.996922\pi$
$98$	1090.03	+	779.468i	1.12357	+	0.803451i
$99$	−35.7913	+	121.894i	−0.0363349	+	0.123745i
$100$	−124.279	−	64.0700i	−0.124279	−	0.0640700i
$101$	−131.027	+	1372.18i	−0.129086	+	1.35185i	0.666273	+	0.745708i	$0.267889\pi$
$101$	−131.027	+	1372.18i	−0.129086	+	1.35185i	−0.795359	+	0.606139i	$0.792718\pi$
$102$	747.589	+	181.363i	0.725710	+	0.176055i
$103$	951.156	+	183.320i	0.909904	+	0.175370i	0.622664	−	0.782489i	$-0.286050\pi$
$103$	951.156	+	183.320i	0.909904	+	0.175370i	0.287240	+	0.957859i	$0.407262\pi$
$104$	8.02979	+	6.95786i	0.00757102	+	0.00656033i
$105$	353.130	+	132.109i	0.328209	+	0.122786i
$106$	371.571	−	169.691i	0.340473	−	0.155489i
$107$	−118.817	+	230.473i	−0.107350	+	0.208230i	−0.936392	−	0.350957i	$-0.885856\pi$
$107$	−118.817	+	230.473i	−0.107350	+	0.208230i	0.829041	+	0.559187i	$0.188887\pi$
$108$	434.382	+	455.567i	0.387023	+	0.405898i
$109$	240.723	−	601.298i	0.211533	−	0.528384i	−0.784216	−	0.620488i	$-0.786935\pi$
$109$	240.723	−	601.298i	0.211533	−	0.528384i	0.995749	+	0.0921032i	$0.0293590\pi$
$110$	23.4857	+	245.953i	0.0203570	+	0.213188i
$111$	−19.6023	+	136.337i	−0.0167619	+	0.116581i
$112$	−989.588	−	818.723i	−0.834886	−	0.690732i
$113$	−931.258	+	806.939i	−0.775268	+	0.671774i	−0.949793	−	0.312879i	$-0.898707\pi$
$113$	−931.258	+	806.939i	−0.775268	+	0.671774i	0.174525	+	0.984653i	$0.444161\pi$
$114$	179.107	−	103.408i	0.147149	−	0.0849563i
$115$	−1308.41	+	207.741i	−1.06095	+	0.168452i
$116$	64.5139	−	111.741i	0.0516377	−	0.0894390i
$117$	−84.1972	−	29.1409i	−0.0665302	−	0.0230263i
$118$	−275.785	+	429.130i	−0.215153	+	0.334785i
$119$	2078.67	−	554.771i	1.60127	−	0.427359i
$120$	−53.2795	−	24.3319i	−0.0405311	−	0.0185099i
$121$	−1024.44	+	805.631i	−0.769679	+	0.605282i
$122$	13.7299	−	13.0914i	0.0101889	−	0.00971508i
$123$	−10.2634	−	215.455i	−0.00752371	−	0.157942i
$124$	−786.414	−	560.003i	−0.569533	−	0.405563i
$125$	1218.65	−	357.829i	0.871998	−	0.256042i
$126$	1662.31	+	533.198i	1.17532	+	0.376992i
$127$	−1068.84	+	1233.51i	−0.746805	+	0.861859i	−0.994255	−	0.107042i	$-0.965862\pi$
$127$	−1068.84	+	1233.51i	−0.746805	+	0.861859i	0.247449	+	0.968901i	$0.420408\pi$
$128$	265.404	+	253.062i	0.183271	+	0.174748i
$129$	−110.718	−	10.5723i	−0.0755673	−	0.00721580i
$130$	−173.084	+	8.24501i	−0.116773	+	0.00556258i
$131$	−2308.10	+	559.938i	−1.53938	+	0.373450i	−0.913622	−	0.406564i	$-0.866727\pi$
$131$	−2308.10	+	559.938i	−1.53938	+	0.373450i	−0.625761	+	0.780015i	$0.715212\pi$
$132$	−9.22597	−	64.1681i	−0.00608347	−	0.0423115i
$133$	301.528	−	493.586i	0.196585	−	0.321800i
$134$	2850.33	+	409.816i	1.83755	+	0.264199i
$135$	1039.65	+	49.5248i	0.662809	+	0.0315735i
$136$	−328.187	+	63.2529i	−0.206925	+	0.0398816i
$137$	−2125.69	−	1227.27i	−1.32562	−	0.765347i	−0.341001	−	0.940063i	$-0.610766\pi$
$137$	−2125.69	−	1227.27i	−1.32562	−	0.765347i	−0.984619	+	0.174715i	$0.944099\pi$
$138$	715.152	−	148.739i	0.441143	−	0.0917502i
$139$			2572.73i			1.56990i	0.619558	+	0.784951i	$0.287312\pi$
$139$			2572.73i			1.56990i	−0.619558	+	0.784951i	$0.712688\pi$
$140$	1611.67	−	113.665i	0.972937	−	0.0686172i
$141$	−594.421	−	382.011i	−0.355031	−	0.228164i
$142$	2444.26	−	978.535i	1.44449	−	0.578287i
$143$	11.2791	+	15.8392i	0.00659582	+	0.00926253i
$144$	−1553.33	−	621.859i	−0.898917	−	0.359872i
$145$	−50.2990	−	207.335i	−0.0288076	−	0.118747i
$146$	2167.99	+	3373.46i	1.22893	+	1.91226i
$147$	−571.101	+	108.898i	−0.320433	+	0.0611002i
$148$	166.291	+	566.336i	0.0923584	+	0.314544i
$149$	−3.41187	+	17.7025i	−0.00187592	+	0.00973317i	−0.982855	−	0.184382i	$-0.940972\pi$
$149$	−3.41187	+	17.7025i	−0.00187592	+	0.00973317i	0.980979	+	0.194116i	$0.0621837\pi$
$150$	120.465	−	41.6932i	0.0655726	−	0.0226949i
$151$	−458.902	+	1891.62i	−0.247317	+	1.01946i	0.703744	+	0.710454i	$0.251510\pi$
$151$	−458.902	+	1891.62i	−0.247317	+	1.01946i	−0.951061	+	0.309002i	$0.900005\pi$
$152$	−52.1212	+	73.1940i	−0.0278131	+	0.0390580i
$153$	2357.80	−	1515.27i	1.24586	−	0.800668i
$154$	−228.016	−	305.224i	−0.119312	−	0.159712i
$155$	−1580.10	+	227.184i	−0.818817	+	0.117728i
$156$	45.2602	−	4.32183i	0.0232290	−	0.00221810i
$157$	−789.837	−	621.135i	−0.401502	−	0.315745i	0.396908	−	0.917858i	$-0.370083\pi$
$157$	−789.837	−	621.135i	−0.401502	−	0.315745i	−0.798411	+	0.602113i	$0.794326\pi$
$158$	2015.71	+	3909.93i	1.01494	+	1.96872i
$159$	−57.9643	+	167.477i	−0.0289111	+	0.0835331i
$160$	−2977.62			−1.47126
$161$	1557.36	−	1322.08i	0.762345	−	0.647171i
$162$	1971.15			0.955975
$163$	973.813	−	2813.65i	0.467944	−	1.35204i	−0.426350	−	0.904558i	$-0.640201\pi$
$163$	973.813	−	2813.65i	0.467944	−	1.35204i	0.894295	−	0.447479i	$-0.147678\pi$
$164$	−423.549	−	821.571i	−0.201669	−	0.391182i
$165$	−84.2600	−	66.2628i	−0.0397554	−	0.0312640i
$166$	−2800.51	+	267.416i	−1.30941	+	0.125033i
$167$	−872.851	+	125.497i	−0.404451	+	0.0581512i	−0.341538	−	0.939868i	$-0.610948\pi$
$167$	−872.851	+	125.497i	−0.404451	+	0.0581512i	−0.0629122	+	0.998019i	$0.520039\pi$
$168$	89.6918	−	10.6339i	0.0411897	−	0.00488345i
$169$	1836.76	−	1180.42i	0.836032	−	0.537285i
$170$	3161.81	−	4440.13i	1.42647	−	2.00319i
$171$	177.644	−	732.259i	0.0794432	−	0.327469i
$172$	−450.399	+	155.885i	−0.199666	+	0.0691052i
$173$	488.705	−	2535.64i	0.214772	−	1.11434i	−0.701158	−	0.713006i	$-0.747333\pi$
$173$	488.705	−	2535.64i	0.214772	−	1.11434i	0.915930	−	0.401338i	$-0.131455\pi$
$174$	33.1415	+	112.870i	0.0144394	+	0.0491761i
$175$	240.071	−	263.563i	0.103701	−	0.113848i
$176$	197.419	+	307.189i	0.0845511	+	0.131564i
$177$	−52.1766	−	215.075i	−0.0221573	−	0.0913334i
$178$	−116.531	−	46.6521i	−0.0490696	−	0.0196445i
$179$	52.1999	+	73.3045i	0.0217967	+	0.0306092i	0.825331	−	0.564650i	$-0.190989\pi$
$179$	52.1999	+	73.3045i	0.0217967	+	0.0306092i	−0.803534	+	0.595259i	$0.797049\pi$
$180$	1954.02	−	782.272i	0.809134	−	0.323928i
$181$	958.010	+	615.676i	0.393416	+	0.252833i	0.722361	−	0.691516i	$-0.243057\pi$
$181$	958.010	+	615.676i	0.393416	+	0.252833i	−0.328945	+	0.944349i	$0.606693\pi$
$182$	221.431	−	149.549i	0.0901843	−	0.0609084i
$183$			8.23064i			0.00332473i
$184$	−255.789	+	187.858i	−0.102484	+	0.0752666i
$185$	845.221	+	487.989i	0.335902	+	0.193933i
$186$	864.275	−	166.575i	0.340708	−	0.0656661i
$187$	−610.977	−	29.1044i	−0.238926	−	0.0113814i
$188$	−2997.09	−	430.917i	−1.16269	−	0.167169i
$189$	−1409.42	+	767.791i	−0.542436	+	0.295495i
$190$	−208.553	−	1450.52i	−0.0796318	−	0.553851i
$191$	−1460.77	+	354.378i	−0.553389	+	0.134251i	−0.502696	−	0.864464i	$-0.667658\pi$
$191$	−1460.77	+	354.378i	−0.553389	+	0.134251i	−0.0506935	+	0.998714i	$0.516143\pi$
$192$	700.598	−	33.3736i	0.263340	−	0.0125444i
$193$	875.841	+	83.6327i	0.326655	+	0.0311918i	0.257095	−	0.966386i	$-0.417235\pi$
$193$	875.841	+	83.6327i	0.326655	+	0.0311918i	0.0695597	+	0.997578i	$0.477841\pi$
$194$	−2291.70	−	2185.13i	−0.848116	−	0.808677i
$195$	49.2316	−	56.8163i	0.0180797	−	0.0208651i
$196$	−2032.30	+	1441.13i	−0.740633	+	0.525194i
$197$	4324.92	−	1269.91i	1.56415	−	0.459276i	0.618858	−	0.785503i	$-0.287595\pi$
$197$	4324.92	−	1269.91i	1.56415	−	0.459276i	0.945292	+	0.326227i	$0.105777\pi$
$198$	−404.296	−	287.898i	−0.145112	−	0.103333i
$199$	104.376	+	2191.12i	0.0371810	+	0.780525i	0.938064	+	0.346463i	$0.112617\pi$
$199$	104.376	+	2191.12i	0.0371810	+	0.780525i	−0.900883	+	0.434062i	$0.857080\pi$
$200$	−40.0836	+	38.2196i	−0.0141717	+	0.0135127i
$201$	−982.056	+	772.298i	−0.344621	+	0.271013i
$202$	−4898.63	−	2237.13i	−1.70627	−	0.779226i
$203$	232.399	+	232.860i	0.0803510	+	0.0805103i
$204$	−773.235	+	1203.18i	−0.265379	+	0.412938i
$205$	−1444.32	−	499.884i	−0.492077	−	0.170309i
$206$	−1892.21	+	3277.41i	−0.639984	+	1.10848i
$207$	1405.83	−	2259.68i	0.472039	−	0.758737i
$208$	−221.787	+	128.049i	−0.0739334	+	0.0426854i
$209$	−124.279	+	107.688i	−0.0411318	+	0.0356409i
$210$	−938.978	+	1134.94i	−0.308551	+	0.372944i
$211$	−651.830	+	4533.58i	−0.212672	+	1.47917i	0.551510	+	0.834168i	$0.314052\pi$
$211$	−651.830	+	4533.58i	−0.212672	+	1.47917i	−0.764183	+	0.645000i	$0.776857\pi$
$212$	72.1901	+	756.009i	0.0233870	+	0.244919i
$213$	−424.544	+	1060.46i	−0.136569	+	0.341134i
$214$	−699.077	−	733.171i	−0.223308	−	0.234199i
$215$	−361.121	+	700.478i	−0.114550	+	0.222196i
$216$	226.805	−	103.578i	0.0714449	−	0.0326278i
$217$	1899.74	−	1565.39i	0.594298	−	0.489704i
$218$	1912.39	+	1657.09i	0.594143	+	0.514828i
$219$	−1708.34	−	329.256i	−0.527119	−	0.101594i
$220$	−446.404	−	108.296i	−0.136802	−	0.0331879i
$221$	40.7777	−	427.043i	0.0124118	−	0.129982i
$222$	−478.306	−	246.584i	−0.144603	−	0.0745478i
$223$	−184.359	+	627.868i	−0.0553613	+	0.188543i	−0.982531	−	0.186098i	$-0.940416\pi$
$223$	−184.359	+	627.868i	−0.0553613	+	0.188543i	0.927170	+	0.374641i	$0.122234\pi$
$224$	3923.00	−	2385.87i	1.17016	−	0.711663i
$225$	192.934	−	422.467i	0.0571657	−	0.125175i
$226$	−1789.24	−	4469.30i	−0.526630	−	1.31546i
$227$	−160.476	+	82.7312i	−0.0469215	+	0.0241897i	−0.481528	−	0.876431i	$-0.659918\pi$
$227$	−160.476	+	82.7312i	−0.0469215	+	0.0241897i	0.434606	+	0.900621i	$0.356888\pi$
$228$	72.7685	+	377.559i	0.0211369	+	0.109669i
$229$	−1612.74	−	2793.35i	−0.465384	−	0.806069i	0.533835	−	0.845589i	$-0.320750\pi$
$229$	−1612.74	−	2793.35i	−0.465384	−	0.806069i	−0.999219	+	0.0395199i	$0.987417\pi$
$230$	904.918	−	5096.08i	0.259428	−	1.46098i
$231$	164.106	+	19.7862i	0.0467420	+	0.00563566i
$232$	−33.4692	−	38.6255i	−0.00947138	−	0.0109306i
$233$	−49.3364	+	1035.70i	−0.0138718	+	0.291205i	0.981262	+	0.192676i	$0.0617167\pi$
$233$	−49.3364	+	1035.70i	−0.0138718	+	0.291205i	−0.995134	+	0.0985289i	$0.968586\pi$
$234$	215.176	−	273.618i	0.0601132	−	0.0764402i
$235$	−4078.33	+	2904.17i	−1.13209	+	0.806157i
$236$	−586.251	−	745.479i	−0.161702	−	0.205621i
$237$	−1831.20	−	537.688i	−0.501895	−	0.147370i
$238$	−607.933	+	8383.30i	−0.165573	+	2.28323i
$239$	2398.22	+	5251.36i	0.649070	+	1.42126i	0.892366	+	0.451312i	$0.149044\pi$
$239$	2398.22	+	5251.36i	0.649070	+	1.42126i	−0.243296	+	0.969952i	$0.578229\pi$
$240$	974.252	−	1021.77i	0.262032	−	0.274811i
$241$	104.007	+	300.509i	0.0277995	+	0.0803215i	0.958047	−	0.286612i	$-0.0925290\pi$
$241$	104.007	+	300.509i	0.0277995	+	0.0803215i	−0.930247	+	0.366933i	$0.880408\pi$
$242$	−1665.34	−	4811.67i	−0.442363	−	1.27812i
$243$	−2204.83	+	2312.36i	−0.582058	+	0.610444i
$244$	14.6518	+	32.0830i	0.00384421	+	0.00841764i
$245$	−787.646	+	4043.57i	−0.205391	+	1.05443i
$246$	808.570	+	237.418i	0.209563	+	0.0615333i
$247$	−71.2927	−	90.6560i	−0.0183654	−	0.0233535i
$248$	−311.505	+	221.821i	−0.0797603	+	0.0567971i
$249$	754.491	−	959.413i	0.192024	−	0.244178i
$250$	−236.107	+	4956.50i	−0.0597309	+	1.25391i
$251$	−3279.86	−	3785.16i	−0.824793	−	0.951862i	0.174670	−	0.984627i	$-0.444114\pi$
$251$	−3279.86	−	3785.16i	−0.824793	−	0.951862i	−0.999463	+	0.0327650i	$0.989569\pi$
$252$	−1947.60	+	2596.33i	−0.486855	+	0.649022i
$253$	−535.978	+	223.744i	−0.133188	+	0.0555996i
$254$	−3188.32	−	5522.33i	−0.787610	−	1.36418i
$255$	447.558	+	2322.15i	0.109910	+	0.570270i
$256$	−4215.82	+	2173.41i	−1.02925	+	0.530616i
$257$	−1074.65	−	2684.34i	−0.260835	−	0.651534i	0.738917	−	0.673796i	$-0.235337\pi$
$257$	−1074.65	−	2684.34i	−0.260835	−	0.651534i	−0.999752	+	0.0222619i	$0.992913\pi$
$258$	180.509	−	395.260i	0.0435582	−	0.0953792i
$259$	−1504.58	+	34.3246i	−0.360966	+	0.00823484i
$260$	90.7628	−	309.110i	0.0216495	−	0.0737315i
$261$	380.940	+	196.388i	0.0903433	+	0.0465752i
$262$	882.022	−	9236.95i	0.207983	−	2.17809i
$263$	1100.07	+	266.874i	0.257921	+	0.0625710i	0.362635	−	0.931931i	$-0.381877\pi$
$263$	1100.07	+	266.874i	0.257921	+	0.0625710i	−0.104713	+	0.994502i	$0.533392\pi$
$264$	−25.2148	−	4.85975i	−0.00587826	−	0.00113294i
$265$	949.038	+	822.346i	0.219996	+	0.190628i
$266$	1437.02	+	1743.94i	0.331238	+	0.401985i
$267$	49.5375	−	22.6230i	0.0113545	−	0.00518542i
$268$	−2453.24	+	4758.63i	−0.559163	+	1.08462i
$269$	2295.07	+	2407.00i	0.520196	+	0.545566i	0.930457	−	0.366402i	$-0.119411\pi$
$269$	2295.07	+	2407.00i	0.520196	+	0.545566i	−0.410260	+	0.911968i	$0.634562\pi$
$270$	−1511.32	+	3775.11i	−0.340653	+	0.850910i
$271$	362.623	+	3797.56i	0.0812833	+	0.851237i	0.940538	+	0.339689i	$0.110322\pi$
$271$	362.623	+	3797.56i	0.0812833	+	0.851237i	−0.859255	+	0.511548i	$0.829072\pi$
$272$	1146.49	−	7974.01i	0.255574	−	1.77756i
$273$	−19.3374	+	114.303i	−0.00428701	+	0.0253404i
$274$	7247.28	−	6279.81i	1.59790	−	1.38459i
$275$	−87.7796	+	50.6796i	−0.0192484	+	0.0111131i
$276$	−173.544	+	1346.92i	−0.0378483	+	0.293749i
$277$	2637.83	−	4568.86i	0.572173	−	0.991032i	−0.424170	−	0.905583i	$-0.639434\pi$
$277$	2637.83	−	4568.86i	0.572173	−	0.991032i	0.996342	−	0.0854496i	$-0.0272327\pi$
$278$	−9498.50	−	3287.46i	−2.04922	−	0.709241i
$279$	1733.73	−	2697.73i	0.372027	−	0.578885i
$280$	166.252	−	618.010i	0.0354837	−	0.131904i
$281$	8139.86	+	3717.35i	1.72805	+	0.789176i	0.993912	+	0.110180i	$0.0351426\pi$
$281$	8139.86	+	3717.35i	1.72805	+	0.789176i	0.734142	+	0.678996i	$0.237585\pi$
$282$	2169.94	−	1706.46i	0.458220	−	0.360348i
$283$	812.807	−	775.010i	0.170729	−	0.162790i	−0.599897	−	0.800077i	$-0.704792\pi$
$283$	812.807	−	775.010i	0.170729	−	0.162790i	0.770627	+	0.637287i	$0.219943\pi$
$284$	232.912	+	4889.42i	0.0486647	+	1.02160i
$285$	517.898	+	368.793i	0.107641	+	0.0766507i
$286$	−72.8906	+	21.4026i	−0.0150703	+	0.00442505i
$287$	2303.43	−	498.690i	0.473752	−	0.102567i
$288$	3917.08	−	4520.56i	0.801446	−	0.924918i
$289$	6210.75	+	5921.94i	1.26415	+	1.20536i
$290$	829.752	+	79.2317i	0.168016	+	0.0160436i
$291$	1372.25	−	65.3682i	0.276435	−	0.0131682i
$292$	−7245.25	+	1757.68i	−1.45204	+	0.352261i
$293$	−1051.21	−	7311.32i	−0.209598	−	1.45779i	−0.774471	−	0.632609i	$-0.781984\pi$
$293$	−1051.21	−	7311.32i	−0.209598	−	1.45779i	0.564873	−	0.825178i	$-0.308925\pi$
$294$	327.709	−	2247.65i	0.0650082	−	0.445869i
$295$	−1552.20	−	223.173i	−0.306348	−	0.0440462i
$296$	233.535	+	11.1247i	0.0458580	+	0.00218449i
$297$	448.066	−	86.3576i	0.0875401	−	0.0168720i
$298$	−60.9976	−	35.2170i	−0.0118574	−	0.00684585i
$299$	−138.856	−	382.941i	−0.0268570	−	0.0740670i
$300$			237.000i			0.0456107i
$301$	−85.4936	−	1212.23i	−0.0163713	−	0.232132i
$302$	−6397.45	−	4111.39i	−1.21898	−	0.783391i
$303$	2169.08	−	868.367i	0.411255	−	0.164642i
$304$	−1256.30	−	1764.22i	−0.237019	−	0.332846i
$305$	54.1423	+	21.6753i	0.0101645	+	0.00406926i
$306$	2581.53	+	10641.2i	0.482275	+	1.98797i
$307$	3314.34	+	5157.22i	0.616155	+	0.958756i	0.999384	+	0.0351023i	$0.0111757\pi$
$307$	3314.34	+	5157.22i	0.616155	+	0.958756i	−0.383229	+	0.923653i	$0.625188\pi$
$308$	674.909	−	215.008i	0.124859	−	0.0397767i
$309$	−462.576	−	1575.39i	−0.0851618	−	0.290035i
$310$	1180.31	−	6124.00i	0.216248	−	1.12200i
$311$	−3456.09	+	1196.17i	−0.630151	+	0.218098i	−0.623429	−	0.781880i	$-0.714261\pi$
$311$	−3456.09	+	1196.17i	−0.630151	+	0.218098i	−0.00672230	+	0.999977i	$0.502140\pi$
$312$	4.24589	−	17.5018i	0.000770436	−	0.00317578i
$313$	5587.78	−	7846.93i	1.00907	−	1.41704i	0.102628	−	0.994720i	$-0.467275\pi$
$313$	5587.78	−	7846.93i	1.00907	−	1.41704i	0.906445	−	0.422325i	$-0.138786\pi$
$314$	3302.48	−	2122.38i	0.593535	−	0.381442i
$315$	631.849	+	5329.36i	0.113018	+	0.953256i
$316$	−8095.18	+	1163.91i	−1.44111	+	0.207200i
$317$	−2187.40	+	208.872i	−0.387561	+	0.0370076i	−0.287018	−	0.957925i	$-0.592664\pi$
$317$	−2187.40	+	208.872i	−0.387561	+	0.0370076i	−0.100543	+	0.994933i	$0.532058\pi$
$318$	−544.255	−	428.007i	−0.0959757	−	0.0754762i
$319$	−42.8600	−	83.1368i	−0.00752257	−	0.0145917i
$320$	1625.48	−	4696.53i	0.283960	−	0.820450i
$321$	439.514			0.0764214
$322$	2891.09	+	7439.14i	0.500354	+	1.28747i
$323$	3627.94			0.624966
$324$	−1198.61	+	3463.17i	−0.205524	+	0.593821i
$325$	−32.5738	−	63.1844i	−0.00555960	−	0.0107841i
$326$	9143.61	+	7190.61i	1.55343	+	1.22163i
$327$	−1092.88	+	104.357i	−0.184821	+	0.0176483i
$328$	−362.404	+	52.1059i	−0.0610074	+	0.00877154i
$329$	3046.17	−	7094.06i	0.510459	−	1.18878i
$330$	352.310	−	226.416i	0.0587697	−	0.0377690i
$331$	3919.75	−	5504.52i	0.650903	−	0.914066i	−0.348829	−	0.937186i	$-0.613421\pi$
$331$	3919.75	−	5504.52i	0.650903	−	0.914066i	0.999733	+	0.0231204i	$0.00736012\pi$
$332$	1233.10	−	5082.90i	0.203841	−	0.840242i
$333$	−1852.75	+	641.242i	−0.304895	+	0.105525i
$334$	652.004	−	3382.92i	0.106815	−	0.554206i
$335$	2494.05	+	8493.95i	0.406760	+	1.38530i
$336$	−464.866	+	2126.81i	−0.0754777	+	0.345318i
$337$	−4737.53	−	7371.74i	−0.765785	−	1.19159i	−0.976811	−	0.214105i	$-0.931317\pi$
$337$	−4737.53	−	7371.74i	−0.765785	−	1.19159i	0.211025	−	0.977481i	$-0.432320\pi$
$338$	2011.05	+	8289.65i	0.323629	+	1.33402i
$339$	1939.04	+	776.273i	0.310661	+	0.124370i
$340$	5878.37	+	8255.02i	0.937645	+	1.31674i
$341$	−649.723	+	260.110i	−0.103180	+	0.0413072i
$342$	2476.50	+	1591.55i	0.391560	+	0.251640i
$343$	−2202.26	−	5958.50i	−0.346678	−	0.937984i
$344$			188.790i			0.0295897i
$345$	1329.22	+	1809.88i	0.207429	+	0.282437i
$346$	8737.09	+	5044.36i	1.35754	+	0.783776i
$347$	−7154.12	+	1378.84i	−1.10678	+	0.213315i	−0.709725	−	0.704479i	$-0.751181\pi$
$347$	−7154.12	+	1378.84i	−1.10678	+	0.213315i	−0.397057	+	0.917794i	$0.629969\pi$
$348$	−218.457	−	10.4064i	−0.0336509	−	0.00160299i
$349$	4935.69	+	709.646i	0.757025	+	0.108844i	0.510011	−	0.860168i	$-0.329641\pi$
$349$	4935.69	+	709.646i	0.757025	+	0.108844i	0.247014	+	0.969012i	$0.420551\pi$
$350$	666.304	+	1223.12i	0.101758	+	0.186796i
$351$	45.5447	+	316.770i	0.00692591	+	0.0481708i
$352$	−1268.62	+	307.764i	−0.192096	+	0.0466020i
$353$	−12165.3	+	579.506i	−1.83426	+	0.0873767i	−0.935982	−	0.352047i	$-0.885486\pi$
$353$	−12165.3	+	579.506i	−1.83426	+	0.0873767i	−0.898280	+	0.439423i	$0.855183\pi$
$354$	860.726	+	82.1893i	0.129229	+	0.0123399i
$355$	5857.82	+	5585.42i	0.875777	+	0.835052i
$356$	152.825	−	176.369i	0.0227519	−	0.0262571i
$357$	−2450.32	−	2700.81i	−0.363262	−	0.400398i
$358$	−337.341	+	99.0522i	−0.0498017	+	0.0146231i
$359$	−4036.02	−	2874.04i	−0.593352	−	0.422524i	0.243541	−	0.969891i	$-0.421691\pi$
$359$	−4036.02	−	2874.04i	−0.593352	−	0.422524i	−0.836893	+	0.547367i	$0.815630\pi$
$360$	−39.6702	−	832.779i	−0.00580778	−	0.121920i
$361$	−4258.20	+	4060.18i	−0.620819	+	0.591949i
$362$	−3497.22	+	2750.24i	−0.507762	+	0.399308i
$363$	2009.44	+	917.682i	0.290547	+	0.132688i
$364$	128.100	+	479.976i	0.0184457	+	0.0691142i
$365$	−6664.81	+	10370.6i	−0.955759	+	1.48719i
$366$	−30.3874	−	10.5172i	−0.00433982	−	0.00150203i
$367$	−1754.77	+	3039.36i	−0.249587	+	0.432298i	−0.963411	−	0.268027i	$-0.913628\pi$
$367$	−1754.77	+	3039.36i	−0.249587	+	0.432298i	0.713824	+	0.700325i	$0.246962\pi$
$368$	−2262.48	−	7307.26i	−0.320488	−	1.03510i
$369$	2658.93	−	1535.13i	0.375117	−	0.216574i
$370$	−2881.68	+	2496.99i	−0.404896	+	0.350844i
$371$	−1909.27	−	323.005i	−0.267182	−	0.0452010i
$372$	−232.886	+	1619.76i	−0.0324586	+	0.225754i
$373$	1077.65	+	11285.6i	0.149593	+	1.56661i	0.689121	+	0.724646i	$0.257997\pi$
$373$	1077.65	+	11285.6i	0.149593	+	1.56661i	−0.539528	+	0.841968i	$0.681397\pi$
$374$	888.166	−	2218.53i	0.122797	−	0.306731i
$375$	−1485.63	−	1558.09i	−0.204581	−	0.214558i
$376$	−549.587	+	1066.05i	−0.0753798	+	0.146216i
$377$	59.6710	−	27.2508i	0.00815176	−	0.00372278i
$378$	−1033.70	−	6184.66i	−0.140656	−	0.841546i
$379$	−9749.83	−	8448.28i	−1.32141	−	1.14501i	−0.978638	−	0.205592i	$-0.934088\pi$
$379$	−9749.83	−	8448.28i	−1.32141	−	1.14501i	−0.342774	−	0.939418i	$-0.611367\pi$
$380$	2675.27	+	515.617i	0.361154	+	0.0696068i
$381$	2688.56	+	652.238i	0.361520	+	0.0877039i
$382$	558.221	−	5845.96i	0.0747672	−	0.782998i
$383$	7574.30	+	3904.82i	1.01052	+	0.520958i	0.882250	−	0.470781i	$-0.156028\pi$
$383$	7574.30	+	3904.82i	1.01052	+	0.520958i	0.128268	+	0.991740i	$0.459058\pi$
$384$	175.122	−	596.409i	0.0232725	−	0.0792588i
$385$	562.330	−	1027.41i	0.0744389	−	0.136004i
$386$	−1427.93	+	3126.73i	−0.188289	+	0.412296i
$387$	−588.391	−	1469.73i	−0.0772858	−	0.193051i
$388$	5232.65	−	2697.62i	0.684659	−	0.352966i
$389$	−2464.66	−	12787.9i	−0.321242	−	1.66676i	−0.679909	−	0.733296i	$-0.737981\pi$
$389$	−2464.66	−	12787.9i	−0.321242	−	1.66676i	0.358667	−	0.933465i	$-0.383231\pi$
$390$	146.857	+	254.363i	0.0190676	+	0.0330261i
$391$	12169.0	+	4012.96i	1.57394	+	0.519038i
$392$	276.155	+	947.437i	0.0355815	+	0.122073i
$393$	2636.30	+	3042.45i	0.338381	+	0.390512i
$394$	−837.926	+	17590.2i	−0.107142	+	2.24920i
$395$	−8359.44	+	10629.9i	−1.06483	+	1.35405i
$396$	751.660	−	535.255i	0.0953847	−	0.0679231i
$397$	2787.24	+	3544.26i	0.352361	+	0.448064i	0.929632	−	0.368489i	$-0.120125\pi$
$397$	2787.24	+	3544.26i	0.352361	+	0.448064i	−0.577271	+	0.816553i	$0.695882\pi$
$398$	−8222.96	−	2414.48i	−1.03563	−	0.304088i
$399$	−977.830	−	70.9094i	−0.122688	−	0.00889702i
$400$	−554.560	−	1214.32i	−0.0693199	−	0.151790i
$401$	1102.81	−	1156.60i	0.137336	−	0.144034i	−0.651474	−	0.758671i	$-0.725849\pi$
$401$	1102.81	−	1156.60i	0.137336	−	0.144034i	0.788810	+	0.614637i	$0.210697\pi$
$402$	−1596.43	−	4612.59i	−0.198067	−	0.572276i
$403$	−160.536	−	463.838i	−0.0198433	−	0.0573335i
$404$	6909.22	−	7246.18i	0.850858	−	0.892354i
$405$	2517.28	+	5512.07i	0.308851	+	0.676288i
$406$	−1156.68	+	560.465i	−0.141392	+	0.0685108i
$407$	410.547	+	120.547i	0.0500001	+	0.0146814i
$408$	350.200	+	445.315i	0.0424938	+	0.0540353i
$409$	−3430.87	+	2443.11i	−0.414781	+	0.295364i	−0.768333	−	0.640051i	$-0.778913\pi$
$409$	−3430.87	+	2443.11i	−0.414781	+	0.295364i	0.353551	+	0.935415i	$0.384974\pi$
$410$	3691.13	−	4693.66i	0.444615	−	0.565374i
$411$	−197.964	+	4155.77i	−0.0237587	+	0.498756i
$412$	−4607.55	−	5317.40i	−0.550966	−	0.635848i
$413$	2223.84	−	949.697i	0.264959	−	0.113151i
$414$	6546.32	+	8077.75i	0.777135	+	0.958937i
$415$	−4324.22	−	7489.76i	−0.511488	−	0.885923i
$416$	−173.266	−	898.992i	−0.0204209	−	0.105954i
$417$	3876.06	−	1998.25i	0.455183	−	0.234663i
$418$	−238.779	−	596.441i	−0.0279403	−	0.0697916i
$419$	−4629.79	+	10137.8i	−0.539809	+	1.18202i	0.421571	+	0.906795i	$0.361479\pi$
$419$	−4629.79	+	10137.8i	−0.539809	+	1.18202i	−0.961381	+	0.275222i	$0.911249\pi$
$420$	−1423.04	−	2339.85i	−0.165326	−	0.271840i
$421$	−328.748	+	1119.61i	−0.0380575	+	0.129612i	−0.976331	−	0.216283i	$-0.930607\pi$
$421$	−328.748	+	1119.61i	−0.0380575	+	0.129612i	0.938273	+	0.345895i	$0.112425\pi$
$422$	−15905.0	−	8199.60i	−1.83470	−	0.945853i
$423$	956.038	−	10012.1i	0.109892	−	1.15084i
$424$	292.343	+	70.9217i	0.0334845	+	0.00812326i
$425$	2195.75	+	423.197i	0.250611	+	0.0483013i
$426$	−3372.71	−	2922.47i	−0.383588	−	0.332381i
$427$	−88.7000	+	14.8253i	−0.0100527	+	0.00168020i
$428$	1713.22	−	782.402i	0.193485	−	0.0883618i
$429$	15.1028	−	29.2953i	0.00169969	−	0.00329694i
$430$	−2124.71	−	2228.33i	−0.238285	−	0.249906i
$431$	−109.638	+	273.862i	−0.0122531	+	0.0306067i	−0.934368	−	0.356309i	$-0.884035\pi$
$431$	−109.638	+	273.862i	−0.0122531	+	0.0306067i	0.922115	+	0.386915i	$0.126459\pi$
$432$	571.274	+	5982.65i	0.0636237	+	0.666297i
$433$	158.049	−	1099.26i	0.0175413	−	0.122002i	−0.979169	−	0.203045i	$-0.934916\pi$
$433$	158.049	−	1099.26i	0.0175413	−	0.122002i	0.996711	+	0.0810432i	$0.0258252\pi$
$434$	3351.91	+	9014.08i	0.370730	+	0.996981i
$435$	−273.302	+	236.818i	−0.0301238	+	0.0261024i
$436$	−4074.27	+	2352.28i	−0.447528	+	0.258380i
$437$	3112.25	−	1476.83i	0.340684	−	0.161662i
$438$	3398.55	−	5886.46i	0.370751	−	0.642159i
$439$	7261.96	+	2513.39i	0.789509	+	0.273252i	0.691919	−	0.721975i	$-0.256765\pi$
$439$	7261.96	+	2513.39i	0.789509	+	0.273252i	0.0975901	+	0.995227i	$0.468887\pi$
$440$	−98.3711	+	153.068i	−0.0106583	+	0.0165847i
$441$	−5102.70	−	6515.13i	−0.550988	−	0.703502i
$442$	1524.53	+	696.230i	0.164060	+	0.0749237i
$443$	2027.87	−	1594.73i	0.217487	−	0.171034i	−0.503472	−	0.864012i	$-0.667944\pi$
$443$	2027.87	−	1594.73i	0.217487	−	0.171034i	0.720959	+	0.692978i	$0.243702\pi$
$444$	724.078	−	690.407i	0.0773946	−	0.0737956i
$445$	−18.3609	−	385.443i	−0.00195593	−	0.0410601i
$446$	−2082.50	−	1482.94i	−0.221097	−	0.157443i
$447$	29.3204	−	8.60924i	0.00310248	−	0.000910969i
$448$	1621.60	+	7490.10i	0.171012	+	0.789897i
$449$	−9719.97	+	11217.4i	−1.02163	+	1.17903i	−0.0379220	+	0.999281i	$0.512074\pi$
$449$	−9719.97	+	11217.4i	−1.02163	+	1.17903i	−0.983713	+	0.179749i	$0.942472\pi$
$450$	1313.21	+	1252.14i	0.137567	+	0.131170i
$451$	−667.024	−	63.6930i	−0.0696428	−	0.00665008i
$452$	8940.25	−	425.876i	0.930340	−	0.0443176i
$453$	3206.33	−	777.847i	0.332553	−	0.0806765i
$454$	−100.385	−	698.190i	−0.0103773	−	0.0721755i
$455$	700.976	+	428.220i	0.0722248	+	0.0441215i
$456$	150.756	+	21.6754i	0.0154820	+	0.00222598i
$457$	5503.80	+	262.178i	0.563363	+	0.0268363i	0.327332	−	0.944909i	$-0.393850\pi$
$457$	5503.80	+	262.178i	0.563363	+	0.0268363i	0.236031	+	0.971746i	$0.424153\pi$
$458$	12373.8	−	2384.85i	1.26242	−	0.243312i
$459$	−8718.33	−	5033.53i	−0.886572	−	0.511863i
$460$	8403.18	+	4688.69i	0.851740	+	0.475242i
$461$			11411.9i			1.15294i	0.817119	+	0.576469i	$0.195570\pi$
$461$			11411.9i			1.15294i	−0.817119	+	0.576469i	$0.804430\pi$
$462$	−282.747	+	580.596i	−0.0284731	+	0.0584670i
$463$	−13489.4	−	8669.14i	−1.35401	−	0.870170i	−0.356080	−	0.934455i	$-0.615887\pi$
$463$	−13489.4	−	8669.14i	−1.35401	−	0.870170i	−0.997932	+	0.0642850i	$0.979523\pi$
$464$	1143.65	−	457.850i	0.114424	−	0.0458086i
$465$	1569.54	+	2204.11i	0.156528	+	0.219813i
$466$	−3760.74	−	1505.57i	−0.373847	−	0.149666i
$467$	−3289.63	−	13560.0i	−0.325965	−	1.34365i	−0.865173	−	0.501474i	$-0.832791\pi$
$467$	−3289.63	−	13560.0i	−0.325965	−	1.34365i	0.539208	−	0.842173i	$-0.318724\pi$
$468$	349.884	+	544.430i	0.0345585	+	0.0537741i
$469$	−10091.8	−	9192.34i	−0.993596	−	0.905038i
$470$	−5510.82	−	18768.1i	−0.540841	−	1.84193i
$471$	−322.328	+	1672.40i	−0.0315331	+	0.163609i
$472$	−355.000	+	122.867i	−0.0346191	+	0.0119818i
$473$	−81.4558	+	335.765i	−0.00791827	+	0.0326395i
$474$	4325.06	−	6073.70i	0.419107	−	0.588553i
$475$	505.746	−	325.023i	0.0488531	−	0.0313960i
$476$	−14359.2	−	6165.80i	−1.38267	−	0.593717i
$477$	−2496.93	+	359.005i	−0.239679	+	0.0344606i
$478$	−22452.4	+	2143.95i	−2.14843	+	0.205150i
$479$	−1420.22	−	1116.87i	−0.135473	−	0.106537i	0.548123	−	0.836398i	$-0.315342\pi$
$479$	−1420.22	−	1116.87i	−0.135473	−	0.106537i	−0.683596	+	0.729861i	$0.739585\pi$
$480$	2312.72	+	4486.06i	0.219919	+	0.426583i
$481$	−98.1486	+	283.582i	−0.00930393	+	0.0268819i
$482$	−1242.38			−0.117404
$483$	−3201.44	−	1319.45i	−0.301596	−	0.124300i
$484$	9466.42			0.889033
$485$	3183.80	−	9199.00i	0.298081	−	0.861248i
$486$	−5719.85	−	11095.0i	−0.533864	−	1.03555i
$487$	2761.94	+	2172.01i	0.256992	+	0.202101i	0.738340	−	0.674429i	$-0.235610\pi$
$487$	2761.94	+	2172.01i	0.256992	+	0.202101i	−0.481348	+	0.876530i	$0.659852\pi$
$488$	13.9076	−	1.32801i	0.00129009	−	0.000123189i
$489$	−4995.38	+	718.227i	−0.461961	+	0.0664200i
$490$	−13922.3	−	8074.89i	−1.28357	−	0.744462i
$491$	2105.42	−	1353.07i	0.193516	−	0.124365i	−0.440295	−	0.897853i	$-0.645126\pi$
$491$	2105.42	−	1353.07i	0.193516	−	0.124365i	0.633811	+	0.773488i	$0.281490\pi$
$492$	−908.800	+	1276.23i	−0.0832762	+	0.116945i
$493$	−486.498	+	2005.37i	−0.0444437	+	0.183200i
$494$	425.799	−	147.371i	0.0387806	−	0.0134221i
$495$	288.760	−	1498.23i	0.0262198	−	0.136041i
$496$	−2596.86	−	8844.09i	−0.235085	−	0.800627i
$497$	−12193.1	−	2665.09i	−1.10047	−	0.240534i
$498$	2578.05	+	4011.52i	0.231978	+	0.360965i
$499$	3653.39	+	15059.5i	0.327752	+	1.35101i	0.862524	+	0.506016i	$0.168882\pi$
$499$	3653.39	+	15059.5i	0.327752	+	1.35101i	−0.534772	+	0.844996i	$0.679603\pi$
$500$	−8564.64	−	3428.76i	−0.766044	−	0.306678i
$501$	867.018	+	1217.56i	0.0773163	+	0.108576i
$502$	18165.8	−	7272.49i	1.61510	−	0.646588i
$503$	8341.28	+	5360.61i	0.739402	+	0.475185i	0.855337	−	0.518072i	$-0.173350\pi$
$503$	8341.28	+	5360.61i	0.739402	+	0.475185i	−0.115935	+	0.993257i	$0.536986\pi$
$504$	719.543	+	1065.40i	0.0635933	+	0.0941598i
$505$		−	16555.3i		−	1.45882i
$506$	−141.184	−	2264.73i	−0.0124039	−	0.198971i
$507$	−3205.02	−	1850.42i	−0.280749	−	0.162091i
$508$	11641.1	−	2243.64i	1.01671	−	0.195955i
$509$	−773.799	−	36.8606i	−0.0673832	−	0.00320986i	0.0138633	−	0.999904i	$-0.495587\pi$
$509$	−773.799	−	36.8606i	−0.0673832	−	0.00320986i	−0.0812464	+	0.996694i	$0.525890\pi$
$510$	−9145.25	−	1314.89i	−0.794036	−	0.114165i
$511$	471.205	−	19003.6i	0.0407923	−	1.64514i
$512$	−2219.66	−	15438.1i	−0.191594	−	1.33257i
$513$	−2630.19	+	638.077i	−0.226366	+	0.0549157i
$514$	11283.7	−	537.510i	0.968296	−	0.0461256i
$515$	−11581.3	−	1105.88i	−0.990940	−	0.0946233i
$516$	584.680	+	557.491i	0.0498820	+	0.0475624i
$517$	−1437.41	+	1658.86i	−0.122277	+	0.141115i
$518$	1795.85	−	5598.76i	0.152326	−	0.474895i
$519$	−4199.76	+	1233.16i	−0.355200	+	0.104296i
$520$	−103.948	−	74.0209i	−0.00876618	−	0.00624237i
$521$	−38.2810	−	803.617i	−0.00321904	−	0.0675760i	0.996686	−	0.0813427i	$-0.0259208\pi$
$521$	−38.2810	−	803.617i	−0.00321904	−	0.0675760i	−0.999905	+	0.0137667i	$0.995618\pi$
$522$	−1211.83	+	1155.48i	−0.101610	+	0.0968850i
$523$	−6717.97	+	5283.07i	−0.561676	+	0.441707i	−0.858198	−	0.513319i	$-0.828416\pi$
$523$	−6717.97	+	5283.07i	−0.561676	+	0.441707i	0.296522	+	0.955026i	$0.404173\pi$
$524$	15692.3	+	7166.44i	1.30825	+	0.597457i
$525$	−583.545	−	156.980i	−0.0485105	−	0.0130499i
$526$	−2390.98	+	3720.43i	−0.198197	+	0.308400i
$527$	14590.9	+	5049.95i	1.20605	+	0.417418i
$528$	309.473	−	536.024i	0.0255078	−	0.0441808i
$529$	12072.8	−	1511.12i	0.992257	−	0.124198i
$530$	−4248.78	+	2453.04i	−0.348218	+	0.201043i
$531$	2380.75	−	2062.93i	0.194568	−	0.168594i
$532$	−3937.81	+	1464.28i	−0.320913	+	0.119332i
$533$	66.8787	−	465.152i	0.00543497	−	0.0378010i
$534$	20.2244	+	211.800i	0.00163895	+	0.0171638i
$535$	1157.46	−	2891.19i	0.0935349	−	0.233639i
$536$	1463.43	+	1534.80i	0.117930	+	0.123682i
$537$	69.8962	−	135.580i	0.00561684	−	0.0108951i
$538$	−11819.3	+	5397.68i	−0.947146	+	0.432547i
$539$	82.3616	+	1804.18i	0.00658176	+	0.144177i
$540$	−5713.59	−	4950.85i	−0.455322	−	0.394538i
$541$	1674.09	+	322.655i	0.133041	+	0.0256415i	0.255337	−	0.966852i	$-0.417814\pi$
$541$	1674.09	+	322.655i	0.133041	+	0.0256415i	−0.122296	+	0.992494i	$0.539026\pi$
$542$	−14483.9	−	3513.76i	−1.14785	−	0.278466i
$543$	183.483	−	1921.53i	0.0145010	−	0.151861i
$544$	25598.4	+	13196.9i	2.01750	+	1.04009i
$545$	−2191.61	+	7463.95i	−0.172254	+	0.586643i
$546$	−397.295	−	217.451i	−0.0311404	−	0.0170440i
$547$	−7793.11	+	17064.5i	−0.609158	+	1.33387i	0.313991	+	0.949426i	$0.398334\pi$
$547$	−7793.11	+	17064.5i	−0.609158	+	1.33387i	−0.923148	+	0.384444i	$0.874393\pi$
$548$	6626.25	+	16551.6i	0.516532	+	1.29023i
$549$	−104.132	+	53.6836i	−0.00809513	+	0.00417333i
$550$	−74.9428	−	388.840i	−0.00581013	−	0.0301458i
$551$	277.386	+	480.447i	0.0214465	+	0.0371465i
$552$	481.696	+	239.460i	0.0371420	+	0.0184639i
$553$	2496.15	−	20703.0i	0.191948	−	1.59201i
$554$	13497.5	+	15577.0i	1.03512	+	1.19459i
$555$	78.7147	−	1652.42i	0.00602027	−	0.126381i
$556$	11551.7	−	14689.1i	0.881115	−	1.12043i
$557$	18616.8	−	13257.0i	1.41619	−	1.00847i	0.421365	−	0.906891i	$-0.361551\pi$
$557$	18616.8	−	13257.0i	1.41619	−	1.00847i	0.994828	−	0.101575i	$-0.0323883\pi$
$558$	7744.62	+	9848.08i	0.587555	+	0.747137i
$559$	−232.499	−	68.2679i	−0.0175915	−	0.00516534i
$560$	12766.2	+	8658.89i	0.963343	+	0.653401i
$561$	430.699	+	943.098i	0.0324137	+	0.0709762i
$562$	−24125.6	+	25302.2i	−1.81081	+	1.89912i
$563$	7990.14	+	23086.0i	0.598125	+	1.72817i	0.681666	+	0.731663i	$0.261256\pi$
$563$	7990.14	+	23086.0i	0.598125	+	1.72817i	−0.0835419	+	0.996504i	$0.526623\pi$
$564$	1678.63	+	4850.09i	0.125325	+	0.362102i
$565$	10212.9	−	10711.0i	0.760459	−	0.797546i
$566$	1822.71	+	3991.19i	0.135361	+	0.296400i
$567$	−7733.13	−	5245.11i	−0.572771	−	0.388490i
$568$	1860.39	+	546.260i	0.137430	+	0.0403531i
$569$	2473.36	+	3145.13i	0.182230	+	0.231724i	0.868582	−	0.495545i	$-0.165032\pi$
$569$	2473.36	+	3145.13i	0.182230	+	0.231724i	−0.686352	+	0.727269i	$0.740789\pi$
$570$	−2023.36	+	1440.82i	−0.148682	+	0.105876i
$571$	−5932.36	+	7543.61i	−0.434784	+	0.552873i	−0.953233	−	0.302236i	$-0.902267\pi$
$571$	−5932.36	+	7543.61i	−0.434784	+	0.552873i	0.518449	+	0.855108i	$0.326509\pi$
$572$	6.72038	−	141.078i	0.000491247	−	0.0103125i
$573$	1668.48	+	1925.53i	0.121644	+	0.140384i
$574$	−1102.18	+	9141.45i	−0.0801465	+	0.664733i
$575$	2055.91	−	530.789i	0.149109	−	0.0384964i
$576$	4991.82	+	8646.09i	0.361098	+	0.625441i
$577$	−4243.11	−	22015.3i	−0.306140	−	1.58841i	−0.730500	−	0.682913i	$-0.760713\pi$
$577$	−4243.11	−	22015.3i	−0.306140	−	1.58841i	0.424360	−	0.905494i	$-0.360499\pi$
$578$	−29799.9	+	15362.9i	−2.14448	+	1.10556i
$579$	−554.267	−	1384.49i	−0.0397833	−	0.0993740i
$580$	−643.759	+	1409.64i	−0.0460873	+	0.100917i
$581$	11698.4	+	6402.88i	0.835340	+	0.457205i
$582$	−1512.13	+	5149.85i	−0.107697	+	0.366784i
$583$	489.337	+	252.271i	0.0347620	+	0.0179211i
$584$	−280.714	+	2939.77i	−0.0198904	+	0.208302i
$585$	1039.93	+	252.285i	0.0734973	+	0.0178303i
$586$	28336.5	+	5461.42i	1.99756	+	0.384999i
$587$	4759.83	+	4124.41i	0.334683	+	0.290005i	0.805947	−	0.591988i	$-0.201657\pi$
$587$	4759.83	+	4124.41i	0.334683	+	0.290005i	−0.471264	+	0.881992i	$0.656202\pi$
$588$	3749.68	+	1942.51i	0.262984	+	0.136238i
$589$	3775.87	−	1724.38i	0.264146	−	0.120631i
$590$	2807.37	−	5445.53i	0.195894	−	0.379982i
$591$	−5272.41	−	5529.54i	−0.366967	−	0.384864i
$592$	−2094.46	+	5231.71i	−0.145408	+	0.363213i
$593$	653.279	+	6841.45i	0.0452394	+	0.473769i	0.989496	+	0.144559i	$0.0461763\pi$
$593$	653.279	+	6841.45i	0.0452394	+	0.473769i	−0.944257	+	0.329210i	$0.893218\pi$
$594$	−253.711	+	1764.60i	−0.0175251	+	0.121890i
$595$	−24219.2	+	9005.98i	−1.66872	+	0.620520i
$596$	98.9650	−	85.7536i	0.00680162	−	0.00589363i
$597$	3220.05	−	1859.10i	0.220750	−	0.127450i
$598$	1591.24	−	23.3292i	0.108814	−	0.00159532i
$599$	−13630.0	+	23607.8i	−0.929727	+	1.61033i	−0.145949	+	0.989292i	$0.546623\pi$
$599$	−13630.0	+	23607.8i	−0.929727	+	1.61033i	−0.783778	+	0.621041i	$0.786710\pi$
$600$	88.7144	+	30.7043i	0.00603625	+	0.00208917i
$601$	3112.98	−	4843.89i	0.211283	−	0.328763i	−0.719396	−	0.694601i	$-0.755581\pi$
$601$	3112.98	−	4843.89i	0.211283	−	0.328763i	0.930679	+	0.365838i	$0.119218\pi$
$602$	4584.78	+	1233.36i	0.310402	+	0.0835015i
$603$	−16176.3	−	7387.45i	−1.09245	−	0.498906i
$604$	11113.6	−	8739.81i	0.748683	−	0.588771i
$605$	11328.5	−	10801.7i	0.761271	−	0.725871i
$606$	434.335	+	9117.81i	0.0291149	+	0.611197i
$607$	4483.27	+	3192.52i	0.299787	+	0.213477i	0.720045	−	0.693927i	$-0.244121\pi$
$607$	4483.27	+	3192.52i	0.299787	+	0.213477i	−0.420258	+	0.907404i	$0.638061\pi$
$608$	7429.08	−	2181.37i	0.495541	−	0.145504i
$609$	170.320	−	530.994i	0.0113329	−	0.0353316i
$610$	−149.209	+	172.196i	−0.00990374	+	0.0114295i
$611$	−1114.13	−	1062.32i	−0.0737691	−	0.0703387i
$612$	−20265.6	−	1935.13i	−1.33854	−	0.127815i
$613$	−344.969	+	16.4329i	−0.0227295	+	0.00108274i	−0.0589436	−	0.998261i	$-0.518773\pi$
$613$	−344.969	+	16.4329i	−0.0227295	+	0.00108274i	0.0362141	+	0.999344i	$0.488470\pi$
$614$	−23275.5	+	5646.57i	−1.52984	+	0.371135i
$615$	368.685	+	2564.26i	0.0241737	+	0.168132i
$616$	6.95487	−	280.488i	0.000454902	−	0.0183461i
$617$	18.1665	+	2.61195i	0.00118534	+	0.000170427i	0.142907	−	0.989736i	$-0.454355\pi$
$617$	18.1665	+	2.61195i	0.00118534	+	0.000170427i	−0.141722	+	0.989906i	$0.545264\pi$
$618$	6407.39	+	305.222i	0.417060	+	0.0198670i
$619$	17385.9	−	3350.85i	1.12891	−	0.217580i	0.409600	−	0.912265i	$-0.365668\pi$
$619$	17385.9	−	3350.85i	1.12891	−	0.217580i	0.719314	+	0.694685i	$0.244456\pi$
$620$	10041.7	+	5797.59i	0.650460	+	0.375543i
$621$	−9528.08	−	769.053i	−0.615698	−	0.0496957i
$622$		−	14288.3i		−	0.921077i
$623$	333.033	+	493.107i	0.0214168	+	0.0317109i
$624$	365.179	+	234.686i	0.0234277	+	0.0150560i
$625$	−16395.6	+	6563.81i	−1.04932	+	0.420084i
$626$	21830.7	+	30656.9i	1.39382	+	1.95734i
$627$	258.770	+	103.596i	0.0164821	+	0.00659843i
$628$	1720.69	+	7092.80i	0.109336	+	0.450690i
$629$	−5103.52	−	7941.24i	−0.323515	−	0.503399i
$630$	−20483.3	−	4477.13i	−1.29536	−	0.283132i
$631$	−4214.92	−	14354.7i	−0.265917	−	0.905629i	−0.978881	−	0.204429i	$-0.934466\pi$
$631$	−4214.92	−	14354.7i	−0.265917	−	0.905629i	0.712965	−	0.701200i	$-0.247352\pi$
$632$	−613.086	+	3180.99i	−0.0385874	+	0.200210i
$633$	7336.53	−	2539.20i	0.460665	−	0.159438i
$634$	2023.93	−	8342.76i	0.126783	−	0.522608i
$635$	11370.8	−	15968.1i	0.710610	−	0.997913i
$636$	1082.93	−	695.955i	0.0675170	−	0.0433906i
$637$	−1266.65	−	2.50943i	−0.0787858	−	0.000156087i
$638$	361.707	−	52.0056i	0.0224453	−	0.00322715i
$639$	−16185.7	+	1545.54i	−1.00203	+	0.0956819i
$640$	−3462.09	−	2722.62i	−0.213830	−	0.168158i
$641$	−5333.71	−	10346.0i	−0.328657	−	0.637505i	0.665386	−	0.746500i	$-0.268267\pi$
$641$	−5333.71	−	10346.0i	−0.328657	−	0.637505i	−0.994042	+	0.108995i	$0.965237\pi$
$642$	−561.614	+	1622.68i	−0.0345252	+	0.0997539i
$643$	10163.5			0.623341			0.311670	−	0.950190i	$-0.399112\pi$
$643$	10163.5			0.623341			0.311670	+	0.950190i	$0.399112\pi$
$644$	−14828.0	+	555.857i	−0.907308	+	0.0340121i
$645$	1335.82			0.0815469
$646$	−4635.81	+	13394.3i	−0.282343	+	0.815777i
$647$	−5687.96	−	11033.1i	−0.345621	−	0.670411i	0.650394	−	0.759597i	$-0.274604\pi$
$647$	−5687.96	−	11033.1i	−0.345621	−	0.670411i	−0.996015	+	0.0891858i	$0.971574\pi$
$648$	1141.05	+	897.334i	0.0691741	+	0.0543991i
$649$	−684.386	+	65.3509i	−0.0413937	+	0.00395262i
$650$	274.899	−	39.5245i	0.0165884	−	0.00238505i
$651$	−3833.94	−	1646.28i	−0.230820	−	0.0991136i
$652$	−18193.4	+	11692.2i	−1.09281	+	0.702304i
$653$	−7984.80	+	11213.1i	−0.478513	+	0.671978i	−0.981312	−	0.192426i	$-0.938365\pi$
$653$	−7984.80	+	11213.1i	−0.478513	+	0.671978i	0.502798	+	0.864404i	$0.332304\pi$
$654$	1011.21	−	4168.25i	0.0604607	−	0.249222i
$655$	26956.4	−	9329.69i	1.60805	−	0.556551i
$656$	1670.14	−	8665.53i	0.0994027	−	0.515750i
$657$	−6976.86	−	23761.0i	−0.414297	−	1.41097i
$658$	22298.7	+	20311.3i	1.32112	+	1.20337i
$659$	3671.42	+	5712.84i	0.217023	+	0.337694i	0.932646	−	0.360792i	$-0.117494\pi$
$659$	3671.42	+	5712.84i	0.217023	+	0.337694i	−0.715623	+	0.698486i	$0.753857\pi$
$660$	183.564	+	756.662i	0.0108261	+	0.0446258i
$661$	29779.4	+	11921.9i	1.75232	+	0.701523i	0.999039	+	0.0438254i	$0.0139545\pi$
$661$	29779.4	+	11921.9i	1.75232	+	0.701523i	0.753282	+	0.657698i	$0.228470\pi$
$662$	15313.9	+	21505.4i	0.899082	+	1.26258i
$663$	−675.051	+	270.250i	−0.0395427	+	0.0158305i
$664$	−1742.89	−	1120.09i	−0.101863	−	0.0654635i
$665$	−3041.56	+	6245.57i	−0.177363	+	0.364200i
$666$		−	7659.71i		−	0.445657i
$667$	398.986	+	1918.36i	0.0231616	+	0.111363i
$668$	5547.07	+	3202.60i	0.321291	+	0.185498i
$669$	1089.13	−	209.913i	0.0629421	−	0.0121311i
$670$	−34546.5	−	1645.65i	−1.99201	−	0.0948911i
$671$	25.3078	+	3.63871i	0.00145603	+	0.000209346i
$672$	−6641.53	−	4057.25i	−0.381254	−	0.232905i
$673$	498.453	+	3466.82i	0.0285497	+	0.198568i	0.999104	−	0.0423133i	$-0.0134728\pi$
$673$	498.453	+	3466.82i	0.0285497	+	0.198568i	−0.970555	+	0.240881i	$0.922564\pi$
$674$	33270.0	−	8071.22i	1.90136	−	0.461264i
$675$	−1666.31	+	79.3762i	−0.0950169	+	0.00452621i
$676$	−15787.2	−	1507.49i	−0.898224	−	0.0857700i
$677$	−20089.8	−	19155.6i	−1.14049	−	1.08746i	−0.995180	−	0.0980700i	$-0.968733\pi$
$677$	−20089.8	−	19155.6i	−1.14049	−	1.08746i	−0.145311	−	0.989386i	$-0.546418\pi$
$678$	−5343.71	+	6166.97i	−0.302690	+	0.349323i
$679$	3176.20	+	14670.7i	0.179516	+	0.829176i
$680$	3851.60	−	1130.93i	0.217209	−	0.0637783i
$681$	249.284	+	177.514i	0.0140273	+	0.00998879i
$682$	−130.100	−	2731.14i	−0.00730469	−	0.153344i
$683$	3636.03	−	3466.95i	0.203703	−	0.194230i	−0.581360	−	0.813646i	$-0.697479\pi$
$683$	3636.03	−	3466.95i	0.203703	−	0.194230i	0.785063	+	0.619416i	$0.212631\pi$
$684$	−4302.14	+	3383.24i	−0.240492	+	0.189125i
$685$	26815.9	+	12246.4i	1.49574	+	0.683083i
$686$	24812.8	−	516.880i	1.38098	−	0.0287676i
$687$	−2955.82	+	4599.34i	−0.164151	+	0.255423i
$688$	−4300.20	−	1488.31i	−0.238290	−	0.0824730i
$689$	−193.055	+	334.382i	−0.0106746	+	0.0184890i
$690$	−8380.56	+	2594.79i	−0.462380	+	0.143162i
$691$	11751.8	−	6784.89i	0.646973	−	0.373530i	−0.140323	−	0.990106i	$-0.544814\pi$
$691$	11751.8	−	6784.89i	0.646973	−	0.373530i	0.787296	+	0.616576i	$0.211481\pi$
$692$	−14175.4	+	12283.1i	−0.778712	+	0.674758i
$693$	820.039	+	2205.28i	0.0449505	+	0.120883i
$694$	4050.93	−	28174.8i	0.221572	−	1.54107i
$695$	−2937.19	−	30759.6i	−0.160308	−	1.67882i
$696$	−32.1973	+	80.4249i	−0.00175350	+	0.00438003i
$697$	10201.2	+	10698.7i	0.554374	+	0.581410i
$698$	−8926.88	+	17315.7i	−0.484079	+	0.938983i
$699$	1598.69	−	730.098i	0.0865066	−	0.0395062i
$700$	−2554.11	+	426.893i	−0.137909	+	0.0230500i
$701$	−8043.51	−	6969.74i	−0.433380	−	0.375526i	0.410676	−	0.911781i	$-0.365293\pi$
$701$	−8043.51	−	6969.74i	−0.433380	−	0.375526i	−0.844056	+	0.536256i	$0.819838\pi$
$702$	−1227.71	−	236.621i	−0.0660069	−	0.0127218i
$703$	−2466.30	−	598.317i	−0.132316	−	0.0320995i
$704$	207.112	−	2168.98i	0.0110878	−	0.116117i
$705$	7543.04	+	3888.71i	0.402961	+	0.207741i
$706$	13405.4	−	45654.7i	0.714618	−	2.43376i
$707$	13265.2	+	21811.6i	0.705644	+	1.16027i
$708$	−667.790	+	1462.26i	−0.0354478	+	0.0776199i
$709$	4549.74	+	11364.7i	0.241000	+	0.601989i	0.998719	−	0.0505913i	$-0.0161106\pi$
$709$	4549.74	+	11364.7i	0.241000	+	0.601989i	−0.757719	+	0.652581i	$0.773686\pi$
$710$	−28106.5	+	14489.9i	−1.48566	+	0.765910i
$711$	−5141.15	−	26674.8i	−0.271179	−	1.40701i
$712$	−46.2197	−	80.0549i	−0.00243281	−	0.00421374i
$713$	14572.6	−	1607.41i	0.765423	−	0.0844291i
$714$	13102.4	−	5595.42i	0.686757	−	0.293282i
$715$	−152.936	−	176.497i	−0.00799925	−	0.00923163i
$716$	31.1022	−	652.915i	0.00162338	−	0.0340790i
$717$	6048.95	−	7691.87i	0.315066	−	0.400639i
$718$	15768.2	−	11228.5i	0.819587	−	0.583625i
$719$	13159.2	+	16733.2i	0.682551	+	0.867934i	0.996678	−	0.0814470i	$-0.0259541\pi$
$719$	13159.2	+	16733.2i	0.682551	+	0.867934i	−0.314127	+	0.949381i	$0.601712\pi$
$720$	19281.6	+	5661.58i	0.998030	+	0.293048i
$721$	16144.4	−	7822.73i	0.833912	−	0.404069i
$722$	−9548.97	−	20909.3i	−0.492211	−	1.07779i
$723$	371.961	−	390.102i	0.0191333	−	0.0200664i
$724$	−2705.40	−	7816.73i	−0.138875	−	0.401252i
$725$	111.840	+	323.140i	0.00572914	+	0.0165533i
$726$	−5955.75	+	6246.22i	−0.304461	+	0.319310i
$727$	−274.619	−	601.332i	−0.0140097	−	0.0306770i	0.902498	−	0.430694i	$-0.141731\pi$
$727$	−274.619	−	601.332i	−0.0140097	−	0.0306770i	−0.916508	+	0.400017i	$0.869004\pi$
$728$	196.261	+	14.2323i	0.00999166	+	0.000724566i
$729$	−7874.36	−	2312.12i	−0.400059	−	0.117468i
$730$	−29771.9	−	37858.1i	−1.50946	−	1.91944i
$731$	6209.06	−	4421.45i	0.314159	−	0.223712i
$732$	36.9559	−	46.9932i	0.00186602	−	0.00237284i
$733$	907.172	−	19043.9i	0.0457124	−	0.959621i	−0.853225	−	0.521543i	$-0.825356\pi$
$733$	907.172	−	19043.9i	0.0457124	−	0.959621i	0.898937	−	0.438078i	$-0.144340\pi$
$734$	−8979.01	−	10362.3i	−0.451528	−	0.521091i
$735$	6703.77	−	1953.99i	0.336425	−	0.0980597i
$736$	27331.8	+	900.633i	1.36884	+	0.0451057i
$737$	1940.52	+	3361.08i	0.0969879	+	0.167988i
$738$	2270.09	+	11778.3i	0.113229	+	0.587488i
$739$	−642.905	+	331.441i	−0.0320022	+	0.0164983i	−0.474153	−	0.880442i	$-0.657246\pi$
$739$	−642.905	+	331.441i	−0.0320022	+	0.0164983i	0.442151	+	0.896941i	$0.354215\pi$
$740$	−2634.74	−	6581.27i	−0.130885	−	0.326936i
$741$	−81.2084	+	177.822i	−0.00402600	+	0.00881571i
$742$	3632.21	−	6636.27i	0.179707	−	0.328336i
$743$	−3391.45	+	11550.2i	−0.167456	+	0.570304i	0.832413	+	0.554156i	$0.186959\pi$
$743$	−3391.45	+	11550.2i	−0.167456	+	0.570304i	−0.999870	+	0.0161488i	$0.994859\pi$
$744$	576.140	+	297.021i	0.0283902	+	0.0146362i
$745$	20.5822	−	215.546i	0.00101218	−	0.0106000i
$746$	−43043.4	−	10442.2i	−2.11251	−	0.512488i
$747$	17059.3	+	3287.91i	0.835566	+	0.161042i
$748$	3357.72	+	2909.48i	0.164132	+	0.142221i
$749$	791.667	+	4736.55i	0.0386207	+	0.231068i
$750$	7650.80	−	3494.00i	0.372490	−	0.170111i
$751$	−545.937	+	1058.97i	−0.0265267	+	0.0514545i	−0.901726	−	0.432307i	$-0.857700\pi$
$751$	−545.937	+	1058.97i	−0.0265267	+	0.0514545i	0.875200	+	0.483762i	$0.160730\pi$
$752$	−19949.6	−	20922.5i	−0.967401	−	1.01458i
$753$	−3155.22	+	7881.35i	−0.152699	+	0.381424i
$754$	24.3616	+	255.126i	0.00117665	+	0.0123225i
$755$	3327.05	−	23140.2i	0.160376	−	1.11544i
$756$	11494.6	+	1944.62i	0.552981	+	0.0935517i
$757$	−17471.3	+	15139.0i	−0.838845	+	0.726863i	−0.964179	−	0.265251i	$-0.914545\pi$
$757$	−17471.3	+	15139.0i	−0.838845	+	0.726863i	0.125335	+	0.992115i	$0.460000\pi$
$758$	43649.4	−	25201.0i	2.09158	−	1.20757i
$759$	753.386	+	633.717i	0.0360292	+	0.0303063i
$760$	539.599	−	934.613i	0.0257544	−	0.0446079i
$761$	−31468.4	−	10891.3i	−1.49899	−	0.518804i	−0.550285	−	0.834977i	$-0.685481\pi$
$761$	−31468.4	−	10891.3i	−1.49899	−	0.518804i	−0.948702	+	0.316173i	$0.897602\pi$
$762$	−5843.52	+	9092.70i	−0.277807	+	0.432275i
$763$	−3093.17	−	11589.8i	−0.146763	−	0.549906i
$764$	9931.48	+	4535.56i	0.470299	+	0.214778i
$765$	−26460.0	+	20808.4i	−1.25054	+	0.983437i
$766$	−24095.1	+	22974.6i	−1.13654	+	1.08369i
$767$	−22.9424	−	481.621i	−0.00108006	−	0.0226732i
$768$	6548.87	+	4663.43i	0.307698	+	0.219111i
$769$	−24989.1	+	7337.47i	−1.17182	+	0.344078i	−0.809016	−	0.587787i	$-0.800000\pi$
$769$	−24989.1	+	7337.47i	−1.17182	+	0.344078i	−0.362806	+	0.931865i	$0.618181\pi$
$770$	3074.63	+	3388.95i	0.143899	+	0.158609i
$771$	−3209.52	+	3703.98i	−0.149920	+	0.173016i
$772$	−4625.14	−	4410.07i	−0.215625	−	0.205598i
$773$	−11857.5	−	1132.26i	−0.551729	−	0.0526837i	−0.184531	−	0.982827i	$-0.559077\pi$
$773$	−11857.5	−	1132.26i	−0.551729	−	0.0526837i	−0.367198	+	0.930143i	$0.619683\pi$
$774$	6178.07	−	294.298i	0.286907	−	0.0136671i
$775$	2486.43	−	603.202i	0.115246	−	0.0279583i
$776$	−331.867	−	2308.18i	−0.0153522	−	0.106777i
$777$	1220.33	+	2240.13i	0.0563436	+	0.103429i
$778$	50362.0	+	7240.96i	2.32078	+	0.333677i
$779$	3969.75	+	189.102i	0.182581	+	0.00869742i
$780$	−536.198	+	103.344i	−0.0246141	+	0.00474397i
$781$	3073.04	+	1774.22i	0.140797	+	0.0812889i
$782$	−30365.4	+	39799.9i	−1.38857	+	1.82000i
$783$		−	1539.42i		−	0.0702611i
$784$	−23757.5	−	1178.89i	−1.08225	−	0.0537030i
$785$	10152.4	+	6524.57i	0.461600	+	0.296652i
$786$	−14601.4	+	5845.51i	−0.662613	+	0.265270i
$787$	−19970.5	−	28044.6i	−0.904537	−	1.27024i	−0.962321	−	0.271915i	$-0.912343\pi$
$787$	−19970.5	−	28044.6i	−0.904537	−	1.27024i	0.0577841	−	0.998329i	$-0.481597\pi$
$788$	−30395.3	−	12168.4i	−1.37409	−	0.550104i
$789$	−452.357	−	1864.64i	−0.0204111	−	0.0841355i
$790$	−28563.7	−	44445.9i	−1.28639	−	2.00166i
$791$	−4873.09	+	22294.9i	−0.219048	+	1.00217i
$792$	−102.977	−	350.707i	−0.00462011	−	0.0157346i
$793$	−3.39361	+	17.6077i	−0.000151968	+	0.000788485i
$794$	−16646.9	+	5761.56i	−0.744052	+	0.257519i
$795$	501.820	−	2068.53i	0.0223871	−	0.0922808i
$796$	9242.28	−	12979.0i	0.411537	−	0.577923i
$797$	−15080.2	+	9691.45i	−0.670223	+	0.430726i	−0.831006	−	0.556264i	$-0.812234\pi$
$797$	−15080.2	+	9691.45i	−0.670223	+	0.430726i	0.160783	+	0.986990i	$0.448598\pi$
$798$	1511.28	−	3519.53i	0.0670408	−	0.156128i
$799$	47932.4	−	6891.64i	2.12231	−	0.305142i
$800$	4750.79	−	453.646i	0.209957	−	0.0200485i
$801$	609.324	+	479.178i	0.0268782	+	0.0211372i
$802$	2860.96	+	5549.48i	0.125965	+	0.244338i
$803$	−1767.66	+	5107.30i	−0.0776827	+	0.224449i
$804$	9074.74			0.398061
$805$	−17110.5	+	17584.8i	−0.749151	+	0.769917i
$806$	1917.62			0.0838029
$807$	1843.78	−	5327.25i	0.0804264	−	0.232377i
$808$	−1817.29	−	3525.05i	−0.0791237	−	0.153479i
$809$	−16531.6	−	13000.6i	−0.718443	−	0.564990i	0.190612	−	0.981665i	$-0.438953\pi$
$809$	−16531.6	−	13000.6i	−0.718443	−	0.564990i	−0.909055	+	0.416676i	$0.863195\pi$
$810$	−23567.1	+	2250.38i	−1.02230	+	0.0976178i
$811$	−38405.3	+	5521.85i	−1.66288	+	0.239086i	−0.908659	−	0.417539i	$-0.862893\pi$
$811$	−38405.3	+	5521.85i	−1.66288	+	0.239086i	−0.754217	+	0.656625i	$0.771984\pi$
$812$	−281.344	−	2373.01i	−0.0121592	−	0.102557i
$813$	5439.72	−	3495.89i	0.234661	−	0.150807i
$814$	−969.659	+	1361.70i	−0.0417525	+	0.0586332i
$815$	−8430.69	+	34751.8i	−0.362349	+	1.49362i
$816$	−12904.1	+	4466.14i	−0.553594	+	0.191601i
$817$	387.825	−	2012.22i	0.0166074	−	0.0861675i
$818$	−4635.94	−	15788.6i	−0.198156	−	0.674858i
$819$	−1572.25	+	500.879i	−0.0670806	+	0.0213701i
$820$	6001.92	+	9339.17i	0.255605	+	0.397729i
$821$	−4217.78	−	17385.9i	−0.179296	−	0.739066i	−0.988460	−	0.151484i	$-0.951595\pi$
$821$	−4217.78	−	17385.9i	−0.179296	−	0.739066i	0.809164	−	0.587583i	$-0.199920\pi$
$822$	−15090.1	−	6041.16i	−0.640300	−	0.256338i
$823$	1882.79	+	2644.01i	0.0797448	+	0.111986i	0.852522	−	0.522692i	$-0.175072\pi$
$823$	1882.79	+	2644.01i	0.0797448	+	0.111986i	−0.772777	+	0.634678i	$0.781133\pi$
$824$	−2587.35	+	1035.82i	−0.109386	+	0.0437917i
$825$	144.532	+	92.8851i	0.00609934	+	0.00391981i
$826$	664.629	+	9423.91i	0.0279969	+	0.396973i
$827$			31184.0i			1.31122i	0.755101	+	0.655608i	$0.227588\pi$
$827$			31184.0i			1.31122i	−0.755101	+	0.655608i	$0.772412\pi$
$828$	−18172.7	+	6589.50i	−0.762736	+	0.276571i
$829$	23748.4	+	13711.1i	0.994952	+	0.574436i	0.906751	−	0.421667i	$-0.138555\pi$
$829$	23748.4	+	13711.1i	0.994952	+	0.574436i	0.0882015	+	0.996103i	$0.471888\pi$
$830$	33177.6	−	6394.46i	1.38748	−	0.267416i
$831$	−8932.20	−	425.493i	−0.372870	−	0.0177620i
$832$	1512.54	+	217.471i	0.0630265	+	0.00906184i
$833$	24692.5	−	31271.4i	1.02706	−	1.30071i
$834$	2424.64	+	16863.7i	0.100669	+	0.700172i
$835$	10292.5	−	2496.95i	0.426573	−	0.103485i
$836$	1193.10	−	56.8344i	0.0493591	−	0.00235126i
$837$	−11466.3	−	1094.90i	−0.473516	−	0.0452153i
$838$	−31512.7	−	30047.3i	−1.29903	−	1.23863i
$839$	−21355.7	+	24645.8i	−0.878763	+	1.01415i	0.121006	+	0.992652i	$0.461388\pi$
$839$	−21355.7	+	24645.8i	−0.878763	+	1.01415i	−0.999769	+	0.0214946i	$0.993158\pi$
$840$	−1060.22	+	229.536i	−0.0435487	+	0.00942828i
$841$	23098.3	−	6782.27i	0.947079	−	0.278087i
$842$	−3713.52	−	2644.39i	−0.151991	−	0.108232i
$843$	−721.717	−	15150.7i	−0.0294867	−	0.619001i
$844$	24077.6	−	22957.9i	0.981973	−	0.936309i
$845$	−20612.7	+	16210.0i	−0.839171	+	0.659931i
$846$	35742.8	+	16323.2i	1.45256	+	0.663361i
$847$	−6270.20	+	23308.3i	−0.254364	+	0.945554i
$848$	−3920.11	+	6099.81i	−0.158747	+	0.247015i
$849$	−1798.93	−	622.616i	−0.0727199	−	0.0251686i
$850$	−4368.19	+	7565.93i	−0.176268	+	0.305305i
$851$	−7610.74	−	4734.93i	−0.306572	−	0.190730i
$852$	7185.45	−	4148.52i	0.288931	−	0.166815i
$853$	17972.0	−	15572.8i	0.721395	−	0.625092i	−0.214766	−	0.976666i	$-0.568899\pi$
$853$	17972.0	−	15572.8i	0.721395	−	0.625092i	0.936160	+	0.351574i	$0.114353\pi$
$854$	58.6068	−	346.423i	0.00234834	−	0.0138810i
$855$	−1287.92	+	8957.71i	−0.0515159	+	0.358301i
$856$	−70.9154	−	742.660i	−0.00283159	−	0.0296537i
$857$	−6238.76	+	15583.7i	−0.248672	+	0.621153i	−0.999213	−	0.0396714i	$-0.987369\pi$
$857$	−6238.76	+	15583.7i	−0.248672	+	0.621153i	0.750541	+	0.660824i	$0.229793\pi$
$858$	88.8593	+	93.1929i	0.00353567	+	0.00370811i
$859$	−5288.25	+	10257.8i	−0.210050	+	0.407440i	−0.970199	−	0.242308i	$-0.922095\pi$
$859$	−5288.25	+	10257.8i	−0.210050	+	0.407440i	0.760149	+	0.649748i	$0.225126\pi$
$860$	5207.01	−	2377.96i	0.206462	−	0.0942882i
$861$	−2540.40	−	3082.99i	−0.100553	−	0.122030i
$862$	−870.999	−	754.725i	−0.0344157	−	0.0298214i
$863$	37330.0	+	7194.76i	1.47245	+	0.283792i	0.861452	−	0.507839i	$-0.169555\pi$
$863$	37330.0	+	7194.76i	1.47245	+	0.283792i	0.611000	+	0.791630i	$0.290767\pi$
$864$	−20879.4	−	5065.28i	−0.822143	−	0.199450i
$865$	−2948.12	+	30874.1i	−0.115883	+	1.21359i
$866$	3856.49	+	1988.16i	0.151327	+	0.0780143i
$867$	4098.04	−	13956.6i	0.160527	−	0.546704i
$868$	−17875.3	+	407.796i	−0.698995	+	0.0159464i
$869$	−2462.86	+	5392.92i	−0.0961414	+	0.210520i
$870$	−525.100	−	1311.64i	−0.0204627	−	0.0511134i
$871$	−2419.33	+	1247.25i	−0.0941170	+	0.0485207i
$872$	352.672	+	1829.84i	0.0136961	+	0.0710620i
$873$	9777.39	+	16934.9i	0.379054	+	0.656541i
$874$	1475.59	+	13377.5i	0.0571082	+	0.517735i
$875$	14115.2	−	18816.9i	0.545351	−	0.727001i
$876$	8275.50	+	9550.43i	0.319182	+	0.368355i
$877$	725.441	−	15228.9i	0.0279320	−	0.586366i	−0.940906	−	0.338669i	$-0.890023\pi$
$877$	725.441	−	15228.9i	0.0279320	−	0.586366i	0.968838	−	0.247697i	$-0.0796736\pi$
$878$	−18558.8	+	23599.4i	−0.713359	+	0.907110i
$879$	−10198.7	+	7262.45i	−0.391346	+	0.278676i
$880$	−2711.05	−	3447.38i	−0.103852	−	0.132058i
$881$	−13698.9	−	4022.36i	−0.523868	−	0.153822i	0.00909705	−	0.999959i	$-0.497104\pi$
$881$	−13698.9	−	4022.36i	−0.523868	−	0.153822i	−0.532966	+	0.846137i	$0.678922\pi$
$882$	30574.0	−	10514.0i	1.16721	−	0.401389i
$883$	9125.07	+	19981.1i	0.347772	+	0.761515i	0.999994	+	0.00348672i	$0.00110986\pi$
$883$	9125.07	+	19981.1i	0.347772	+	0.761515i	−0.652222	+	0.758028i	$0.726163\pi$
$884$	−2150.26	+	2255.13i	−0.0818112	+	0.0858012i
$885$	869.367	+	2511.87i	0.0330209	+	0.0954075i
$886$	3296.50	+	9524.61i	0.124998	+	0.361158i
$887$	16375.1	−	17173.7i	0.619866	−	0.650097i	−0.336700	−	0.941612i	$-0.609311\pi$
$887$	16375.1	−	17173.7i	0.619866	−	0.650097i	0.956566	+	0.291515i	$0.0941593\pi$
$888$	−164.627	−	360.483i	−0.00622131	−	0.0136228i
$889$	−2186.32	+	30149.0i	−0.0824822	+	1.13742i
$890$	1446.51	+	424.734i	0.0544800	+	0.0159968i
$891$	1642.21	+	2088.24i	0.0617466	+	0.0785172i
$892$	3871.75	−	2757.06i	0.145332	−	0.103490i
$893$	8047.75	−	10233.6i	0.301576	−	0.383486i
$894$	−5.68065	+	119.251i	−0.000212516	+	0.00446126i
$895$	−707.792	−	816.836i	−0.0264345	−	0.0305070i
$896$	6742.82	+	812.979i	0.251408	+	0.0303122i
$897$	−469.086	+	506.630i	−0.0174608	+	0.0188583i
$898$	−28994.4	−	50219.8i	−1.07746	−	1.86621i
$899$	446.830	+	2318.38i	0.0165769	+	0.0860091i
$900$	−2998.46	+	1545.81i	−0.111054	+	0.0572523i
$901$	−4514.15	−	11275.8i	−0.166912	−	0.416927i
$902$	1087.48	−	2381.25i	0.0401432	−	0.0879015i
$903$	−1759.93	+	1070.35i	−0.0648581	+	0.0394450i
$904$	998.830	−	3401.70i	0.0367485	−	0.125154i
$905$	−12156.9	−	6267.31i	−0.446529	−	0.230201i
$906$	−1225.28	+	12831.7i	−0.0449305	+	0.470534i
$907$	23354.6	+	5665.75i	0.854989	+	0.207418i	0.639218	−	0.769026i	$-0.279258\pi$
$907$	23354.6	+	5665.75i	0.854989	+	0.207418i	0.215771	+	0.976444i	$0.430773\pi$
$908$	1287.71	+	248.186i	0.0470641	+	0.00907087i
$909$	25133.9	+	21778.7i	0.917095	+	0.794668i
$910$	−2476.70	+	2040.81i	−0.0902217	+	0.0743431i
$911$	−14736.9	+	6730.13i	−0.535957	+	0.244763i	−0.664957	−	0.746881i	$-0.731550\pi$
$911$	−14736.9	+	6730.13i	−0.535957	+	0.244763i	0.129001	+	0.991644i	$0.458823\pi$
$912$	−1682.20	+	3263.00i	−0.0610779	+	0.118475i
$913$	−2616.48	−	2744.08i	−0.0948442	−	0.0994697i
$914$	−8000.77	+	19985.0i	−0.289543	+	0.723242i
$915$	−9.39660	−	98.4056i	−0.000339499	−	0.00355540i
$916$	−3334.22	+	23190.0i	−0.120268	+	0.836485i
$917$	−28039.3	+	33891.0i	−1.00975	+	1.22048i
$918$	29724.1	−	25756.1i	1.06867	−	0.926010i
$919$	31612.8	−	18251.7i	1.13472	−	0.655133i	0.189605	−	0.981860i	$-0.439279\pi$
$919$	31612.8	−	18251.7i	1.13472	−	0.655133i	0.945119	+	0.326728i	$0.105946\pi$
$920$	2843.75	−	2538.05i	0.101908	−	0.0909535i
$921$	5195.56	−	8998.98i	0.185885	−	0.321961i
$922$	−42132.5	−	14582.2i	−1.50495	−	0.520867i
$923$	−1345.46	+	2093.58i	−0.0479810	+	0.0746600i
$924$	−848.132	−	849.814i	−0.0301964	−	0.0302563i
$925$	−1422.90	−	649.815i	−0.0505778	−	0.0230981i
$926$	49243.3	−	38725.3i	1.74755	−	1.37429i
$927$	16914.2	−	16127.7i	0.599284	−	0.571416i
$928$	209.550	+	4399.00i	0.00741252	+	0.155608i
$929$	−12487.5	−	8892.27i	−0.441012	−	0.314043i	0.337894	−	0.941184i	$-0.390286\pi$
$929$	−12487.5	−	8892.27i	−0.441012	−	0.314043i	−0.778906	+	0.627141i	$0.784225\pi$
$930$	−10143.1	+	2978.29i	−0.357641	+	0.105013i
$931$	−997.123	−	10665.6i	−0.0351014	−	0.375458i
$932$	4932.01	−	5691.84i	0.173341	−	0.200046i
$933$	4486.49	+	4277.86i	0.157429	+	0.150108i
$934$	54266.9	+	5181.86i	1.90114	+	0.181537i
$935$	7338.08	−	349.556i	0.256664	−	0.0122264i
$936$	249.121	−	60.4361i	0.00869955	−	0.00211049i
$937$	5113.76	+	35567.0i	0.178292	+	1.24005i	0.860714	+	0.509088i	$0.170017\pi$
$937$	5113.76	+	35567.0i	0.178292	+	1.24005i	−0.682423	+	0.730958i	$0.739074\pi$
$938$	46833.4	−	25512.8i	1.63024	−	0.888083i
$939$	−16162.2	−	2323.77i	−0.561696	−	0.0807596i
$940$	36325.3	+	1730.38i	1.26042	+	0.0600414i
$941$	12447.7	−	2399.11i	0.431227	−	0.0831122i	0.0309812	−	0.999520i	$-0.490137\pi$
$941$	12447.7	−	2399.11i	0.431227	−	0.0831122i	0.400246	+	0.916408i	$0.368925\pi$
$942$	−5762.60	−	3327.04i	−0.199316	−	0.115075i
$943$	13106.3	+	5025.33i	0.452599	+	0.173539i
$944$		−	9054.72i		−	0.312188i
$945$	15974.5	−	10788.8i	0.549895	−	0.371386i
$946$	−1135.56	−	729.778i	−0.0390276	−	0.0250815i
$947$	−11390.7	+	4560.14i	−0.390863	+	0.156478i	−0.558765	−	0.829326i	$-0.688725\pi$
$947$	−11390.7	+	4560.14i	−0.390863	+	0.156478i	0.167903	+	0.985804i	$0.446301\pi$
$948$	8041.07	+	11292.1i	0.275487	+	0.386868i
$949$	−3518.89	−	1408.75i	−0.120367	−	0.0481875i
$950$	553.735	+	2282.53i	0.0189111	+	0.0779526i
$951$	2013.64	+	3133.29i	0.0686613	+	0.106839i
$952$	−4168.29	+	4576.15i	−0.141906	+	0.155792i
$953$	−12661.8	−	43122.1i	−0.430384	−	1.46575i	−0.834481	−	0.551036i	$-0.814233\pi$
$953$	−12661.8	−	43122.1i	−0.430384	−	1.46575i	0.404097	−	0.914716i	$-0.367586\pi$
$954$	1865.16	−	9677.39i	0.0632986	−	0.328424i
$955$	17060.4	−	5904.65i	0.578074	−	0.200073i
$956$	9886.08	−	40751.0i	0.334455	−	1.37864i
$957$	−91.9637	+	129.145i	−0.00310634	+	0.00436224i
$958$	5938.24	−	3816.28i	0.200267	−	0.128704i
$959$	−45142.5	+	5352.09i	−1.52005	+	0.180217i
$960$	−8338.26	+	1198.86i	−0.280330	+	0.0403053i
$961$	−12070.0	+	1152.55i	−0.405157	+	0.0386878i
$962$	−921.565	−	724.727i	−0.0308861	−	0.0242891i
$963$	2866.69	+	5560.60i	0.0959270	+	0.186072i
$964$	755.462	−	2182.76i	0.0252405	−	0.0729275i
$965$	−10567.1			−0.352503
$966$	8962.22	−	10133.7i	0.298504	−	0.337522i
$967$	−14523.5			−0.482982			−0.241491	−	0.970403i	$-0.577636\pi$
$967$	−14523.5			−0.482982			−0.241491	+	0.970403i	$0.577636\pi$
$968$	1226.41	−	3543.49i	0.0407215	−	0.117657i
$969$	−2817.83	−	5465.82i	−0.0934176	−	0.181205i
$970$	29894.3	+	23509.1i	0.989534	+	0.778178i
$971$	−15271.6	+	1458.26i	−0.504726	+	0.0481955i	−0.344314	−	0.938855i	$-0.611888\pi$
$971$	−15271.6	+	1458.26i	−0.504726	+	0.0481955i	−0.160412	+	0.987050i	$0.551282\pi$
$972$	22971.2	−	3302.76i	0.758025	−	0.108988i
$973$	28516.4	+	38172.2i	0.939562	+	1.25770i
$974$	−11548.3	+	7421.62i	−0.379908	+	0.244152i
$975$	−69.8929	+	98.1509i	−0.00229576	+	0.00322394i
$976$	−79.3905	+	327.252i	−0.00260372	+	0.0107327i
$977$	16324.8	−	5650.08i	0.534573	−	0.185017i	−0.0464262	−	0.998922i	$-0.514783\pi$
$977$	16324.8	−	5650.08i	0.534573	−	0.185017i	0.580999	+	0.813904i	$0.302662\pi$
$978$	3731.46	−	19360.6i	0.122003	−	0.633011i
$979$	−47.6618	−	162.321i	−0.00155595	−	0.00529908i
$980$	22652.9	−	19550.4i	0.738387	−	0.637260i
$981$	−8448.51	−	13146.1i	−0.274965	−	0.427853i
$982$	2305.20	+	9502.14i	0.0749101	+	0.308784i
$983$	44754.9	+	17917.2i	1.45215	+	0.581352i	0.957678	−	0.287842i	$-0.0929380\pi$
$983$	44754.9	+	17917.2i	1.45215	+	0.581352i	0.494470	+	0.869195i	$0.335362\pi$
$984$	359.982	+	505.525i	0.0116624	+	0.0163776i
$985$	−50259.0	+	20120.7i	−1.62577	+	0.650860i
$986$	−6782.15	−	4358.63i	−0.219055	−	0.140778i
$987$	−13053.8	+	920.631i	−0.420980	+	0.0296900i
$988$			837.712i			0.0269749i
$989$	3526.63	−	6320.51i	0.113388	−	0.203216i
$990$	5162.45	+	2980.54i	0.165731	+	0.0956848i
$991$	−27753.7	+	5349.08i	−0.889631	+	0.171462i	−0.613535	−	0.789668i	$-0.710253\pi$
$991$	−27753.7	+	5349.08i	−0.889631	+	0.171462i	−0.276096	+	0.961130i	$0.589041\pi$
$992$	32914.7	+	1567.92i	1.05347	+	0.0501830i
$993$	−11337.5	−	1630.09i	−0.362322	−	0.0520941i
$994$	25419.9	−	41611.1i	0.811137	−	1.32779i
$995$	−3749.44	−	26077.9i	−0.119463	−	0.830880i
$996$	−8615.60	+	2090.12i	−0.274092	+	0.0664941i
$997$	−19141.7	+	911.831i	−0.608048	+	0.0289649i	−0.349348	−	0.936993i	$-0.613597\pi$
$997$	−19141.7	+	911.831i	−0.608048	+	0.0289649i	−0.258700	+	0.965958i	$0.583294\pi$
$998$	−60267.7	−	5754.87i	−1.91157	−	0.182532i
$999$	5096.65	+	4859.65i	0.161412	+	0.153906i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	161.4.o.a.10.10	✓	920
7.5	odd	6	inner	161.4.o.a.33.37	yes	920
23.7	odd	22	inner	161.4.o.a.122.37	yes	920
161.145	even	66	inner	161.4.o.a.145.10	yes	920

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
161.4.o.a.10.10	✓	920	1.1	even	1	trivial
161.4.o.a.33.37	yes	920	7.5	odd	6	inner
161.4.o.a.122.37	yes	920	23.7	odd	22	inner
161.4.o.a.145.10	yes	920	161.145	even	66	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:	\( N \)	\(=\)	\( 161 = 7 \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	161.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.27781 + 3.69199i) q^{2} +(-0.776702 - 1.50659i) q^{3} +(-5.70955 - 4.49004i) q^{4} +(-11.9560 + 1.14166i) q^{5} +(6.55479 - 0.942437i) q^{6} +(14.8372 - 11.0841i) q^{7} +(-2.42041 + 1.55551i) q^{8} +(13.9950 - 19.6532i) q^{9} +(11.0625 - 45.6003i) q^{10} +(-4.97589 + 1.72217i) q^{11} +(-2.33004 + 12.0894i) q^{12} +(-1.04040 - 3.54328i) q^{13} +(21.9632 + 68.9422i) q^{14} +(11.0063 + 17.1261i) q^{15} +(-16.3497 - 67.3943i) q^{16} +(107.845 + 43.1745i) q^{17} +(54.6765 + 76.7824i) q^{18} +(28.9935 - 11.6073i) q^{19} +(73.3895 + 47.1646i) q^{20} +(-28.2233 - 13.7446i) q^{21} -20.5715i q^{22} +(110.090 - 6.86308i) q^{23} +(4.22345 + 2.43841i) q^{24} +(18.9019 - 3.64304i) q^{25} +(14.4112 + 0.686489i) q^{26} +(-85.7789 - 12.3331i) q^{27} +(-134.482 - 3.33456i) q^{28} +(2.52804 + 17.5829i) q^{29} +(-77.2933 + 18.7511i) q^{30} +(132.763 - 6.32429i) q^{31} +(246.798 + 23.5663i) q^{32} +(6.45939 + 6.15901i) q^{33} +(-297.205 + 342.993i) q^{34} +(-164.740 + 149.461i) q^{35} +(-168.149 + 49.3729i) q^{36} +(-66.1933 - 47.1360i) q^{37} +(5.80565 + 121.876i) q^{38} +(-4.53019 + 4.31953i) q^{39} +(27.1627 - 21.3609i) q^{40} +(115.755 + 52.8635i) q^{41} +(86.8088 - 86.6370i) q^{42} +(35.4752 - 55.2004i) q^{43} +(36.1427 + 12.5091i) q^{44} +(-144.887 + 250.952i) q^{45} +(-115.336 + 415.222i) q^{46} +(361.014 - 208.432i) q^{47} +(-88.8368 + 76.9776i) q^{48} +(97.2861 - 328.914i) q^{49} +(-10.7029 + 74.4406i) q^{50} +(-18.7168 - 196.012i) q^{51} +(-9.96924 + 24.9020i) q^{52} +(-72.1518 - 75.6706i) q^{53} +(155.143 - 300.935i) q^{54} +(57.5256 - 26.2711i) q^{55} +(-18.6709 + 49.9075i) q^{56} +(-40.0067 - 34.6660i) q^{57} +(-68.1462 - 13.1341i) q^{58} +(126.887 + 30.7824i) q^{59} +(14.0560 - 147.201i) q^{60} +(-4.31599 - 2.22505i) q^{61} +(-146.297 + 498.241i) q^{62} +(-10.1912 - 446.721i) q^{63} +(-171.897 + 376.403i) q^{64} +(16.4843 + 41.1757i) q^{65} +(-30.9929 + 15.9779i) q^{66} +(-139.492 - 723.753i) q^{67} +(-421.890 - 730.734i) q^{68} +(-95.8473 - 160.531i) q^{69} +(-341.301 - 799.199i) q^{70} +(-441.315 - 509.305i) q^{71} +(-3.30298 + 69.3382i) q^{72} +(634.485 - 806.814i) q^{73} +(258.608 - 184.154i) q^{74} +(-20.1697 - 25.6478i) q^{75} +(-217.657 - 63.9099i) q^{76} +(-54.7396 + 80.7054i) q^{77} +(-10.1589 - 22.2450i) q^{78} +(776.995 - 814.889i) q^{79} +(272.419 + 787.102i) q^{80} +(-165.017 - 476.786i) q^{81} +(-343.084 + 359.816i) q^{82} +(299.131 + 655.006i) q^{83} +(99.4284 + 205.199i) q^{84} +(-1338.68 - 393.073i) q^{85} +(158.469 + 201.509i) q^{86} +(24.5267 - 17.4654i) q^{87} +(9.36486 - 11.9084i) q^{88} +(-1.52875 + 32.0924i) q^{89} +(-741.372 - 855.589i) q^{90} +(-54.7107 - 41.0405i) q^{91} +(-659.382 - 455.125i) q^{92} +(-112.646 - 195.108i) q^{93} +(308.220 + 1599.20i) q^{94} +(-333.396 + 171.877i) q^{95} +(-156.183 - 390.127i) q^{96} +(-336.692 + 737.253i) q^{97} +(1090.03 + 779.468i) q^{98} +(-35.7913 + 121.894i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 920 q - 11 q^{2} - 27 q^{3} + 157 q^{4} - 33 q^{5} - 22 q^{7} - 104 q^{8} - 359 q^{9} - 33 q^{10} - 11 q^{11} - 75 q^{12} - 22 q^{14} - 44 q^{15} + 1157 q^{16} - 33 q^{17} + 179 q^{18} - 33 q^{19} - 1342 q^{21}+ \cdots + 23056 q^{99}+O(q^{100}) \) 920 * q - 11 * q^2 - 27 * q^3 + 157 * q^4 - 33 * q^5 - 22 * q^7 - 104 * q^8 - 359 * q^9 - 33 * q^10 - 11 * q^11 - 75 * q^12 - 22 * q^14 - 44 * q^15 + 1157 * q^16 - 33 * q^17 + 179 * q^18 - 33 * q^19 - 1342 * q^21 - 494 * q^23 - 570 * q^24 + 1269 * q^25 - 609 * q^26 + 682 * q^28 - 348 * q^29 + 1485 * q^30 + 105 * q^31 - 1017 * q^32 - 33 * q^33 + 966 * q^35 + 4354 * q^36 - 1199 * q^37 - 33 * q^38 + 5 * q^39 - 33 * q^40 - 3652 * q^42 - 3476 * q^43 + 3388 * q^44 + 477 * q^46 - 1188 * q^47 - 1408 * q^49 - 3234 * q^50 + 649 * q^51 + 1911 * q^52 - 11 * q^53 - 1659 * q^54 + 9361 * q^56 + 7612 * q^57 - 4198 * q^58 - 915 * q^59 - 11 * q^60 - 33 * q^61 - 2112 * q^63 - 5064 * q^64 - 4323 * q^65 + 858 * q^66 - 11 * q^67 - 2478 * q^70 + 1732 * q^71 - 9181 * q^72 - 3987 * q^73 + 2354 * q^74 + 2871 * q^75 + 2164 * q^77 - 24268 * q^78 + 1837 * q^79 + 12144 * q^80 + 3035 * q^81 + 5823 * q^82 + 11330 * q^84 + 13676 * q^85 + 5225 * q^86 - 24657 * q^87 - 12342 * q^88 - 33 * q^89 + 9810 * q^92 - 1440 * q^93 - 15858 * q^94 - 4187 * q^95 + 2439 * q^96 - 11284 * q^98 + 23056 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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