LMFDB - Embedded newform 207.4.o.a.113.15

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [207,4,Mod(5,207)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("207.5"); S:= CuspForms(chi, 4); N := Newforms(S);

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(207, base_ring=CyclotomicField(66)) chi = DirichletCharacter(H, H._module([55, 3])) N = Newforms(chi, 4, names="a")

Level:	$ N $	$=$	$ 207 = 3^{2} \cdot 23 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	207.o (of order $66$, degree $20$, minimal)

Newform invariants

comment:select newform

sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)

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

Self dual:	no
Analytic conductor:	$12.2133953712$
Analytic rank:	$0$
Dimension:	$1400$
Relative dimension:	$70$ over $\Q(\zeta_{66})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label			113.15
Character	$\chi$	$=$	207.113
Dual form			207.4.o.a.11.15

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-3.78164 - 0.180142i) q^{2} +(2.93051 - 4.29093i) q^{3} +(6.30456 + 0.602012i) q^{4} +(-11.8152 + 11.2658i) q^{5} +(-11.8551 + 15.6989i) q^{6} +(3.18592 - 16.5301i) q^{7} +(6.24601 + 0.898041i) q^{8} +(-9.82423 - 25.1492i) q^{9} +(46.7102 - 40.4746i) q^{10} +(-4.52737 - 2.33402i) q^{11} +(21.0588 - 25.2882i) q^{12} +(-31.9587 + 6.15954i) q^{13} +(-15.0258 + 61.9370i) q^{14} +(13.7161 + 83.7126i) q^{15} +(-73.2087 - 14.1098i) q^{16} +(-33.5526 + 73.4699i) q^{17} +(32.6212 + 96.8751i) q^{18} +(24.4178 - 11.1512i) q^{19} +(-81.2717 + 63.9127i) q^{20} +(-61.5933 - 62.1123i) q^{21} +(16.7004 + 9.64199i) q^{22} +(88.5501 + 65.7714i) q^{23} +(22.1574 - 24.1695i) q^{24} +(6.73359 - 141.356i) q^{25} +(121.966 - 17.5360i) q^{26} +(-136.704 - 31.5450i) q^{27} +(30.0372 - 102.297i) q^{28} +(-2.38152 - 24.9404i) q^{29} +(-36.7892 - 319.041i) q^{30} +(134.446 + 105.730i) q^{31} +(225.248 + 54.6446i) q^{32} +(-23.2826 + 12.5868i) q^{33} +(140.119 - 271.792i) q^{34} +(148.582 + 231.198i) q^{35} +(-46.7973 - 164.469i) q^{36} +(29.7276 + 101.243i) q^{37} +(-94.3481 + 37.7713i) q^{38} +(-67.2252 + 155.183i) q^{39} +(-83.9149 + 59.7555i) q^{40} +(242.458 + 254.283i) q^{41} +(221.735 + 245.982i) q^{42} +(159.967 + 203.415i) q^{43} +(-27.1380 - 17.4405i) q^{44} +(399.400 + 186.466i) q^{45} +(-323.016 - 264.675i) q^{46} +(177.047 - 102.218i) q^{47} +(-275.083 + 272.785i) q^{48} +(55.3352 + 22.1529i) q^{49} +(-50.9280 + 533.342i) q^{50} +(216.928 + 359.276i) q^{51} +(-205.194 + 19.5936i) q^{52} +(-28.5060 + 32.8977i) q^{53} +(511.281 + 143.918i) q^{54} +(79.7862 - 23.4274i) q^{55} +(34.7440 - 100.386i) q^{56} +(23.7074 - 137.454i) q^{57} +(4.51325 + 94.7447i) q^{58} +(140.776 + 730.414i) q^{59} +(36.0780 + 536.028i) q^{60} +(-148.000 - 369.687i) q^{61} +(-489.380 - 424.050i) q^{62} +(-447.019 + 82.2722i) q^{63} +(-269.675 - 79.1837i) q^{64} +(308.206 - 432.815i) q^{65} +(90.3139 - 43.4045i) q^{66} +(-196.460 - 381.079i) q^{67} +(-255.764 + 442.996i) q^{68} +(541.718 - 187.219i) q^{69} +(-520.235 - 901.074i) q^{70} +(-607.259 + 944.914i) q^{71} +(-38.7772 - 165.905i) q^{72} +(295.148 + 646.284i) q^{73} +(-94.1809 - 388.219i) q^{74} +(-586.814 - 443.137i) q^{75} +(160.657 - 55.6038i) q^{76} +(-53.0055 + 67.4020i) q^{77} +(282.176 - 574.737i) q^{78} +(1012.54 + 350.443i) q^{79} +(1023.93 - 658.041i) q^{80} +(-535.969 + 494.144i) q^{81} +(-871.081 - 1005.28i) q^{82} +(-997.646 - 951.254i) q^{83} +(-350.926 - 428.670i) q^{84} +(-431.264 - 1246.06i) q^{85} +(-568.294 - 798.058i) q^{86} +(-113.997 - 62.8692i) q^{87} +(-26.1820 - 18.6441i) q^{88} +(-88.4310 - 615.051i) q^{89} +(-1476.80 - 777.094i) q^{90} +547.906i q^{91} +(518.674 + 467.968i) q^{92} +(847.674 - 267.058i) q^{93} +(-687.940 + 354.657i) q^{94} +(-162.874 + 406.839i) q^{95} +(894.568 - 806.388i) q^{96} +(235.492 - 57.1296i) q^{97} +(-205.267 - 93.7423i) q^{98} +(-14.2210 + 136.790i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) $ 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/207\mathbb{Z}\right)^\times$.

$n$	$28$	$47$
$\chi(n)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{5}{6}\right)$

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 $

$2$	−3.78164	−	0.180142i	−1.33701	−	0.0636897i	−0.633151	−	0.774028i	$-0.718239\pi$
$2$	−3.78164	−	0.180142i	−1.33701	−	0.0636897i	−0.703860	+	0.710339i	$0.748542\pi$
$3$	2.93051	−	4.29093i	0.563977	−	0.825791i
$3$	2.93051	−	4.29093i	0.563977	−	0.825791i
$4$	6.30456	+	0.602012i	0.788070	+	0.0752516i
$5$	−11.8152	+	11.2658i	−1.05678	+	1.00764i	−0.0568250	+	0.998384i	$0.518098\pi$
$5$	−11.8152	+	11.2658i	−1.05678	+	1.00764i	−0.999957	+	0.00925562i	$0.997054\pi$
$6$	−11.8551	+	15.6989i	−0.806638	+	1.06817i
$7$	3.18592	−	16.5301i	0.172024	−	0.892543i	−0.788646	−	0.614848i	$-0.789217\pi$
$7$	3.18592	−	16.5301i	0.172024	−	0.892543i	0.960669	−	0.277695i	$-0.0895705\pi$
$8$	6.24601	+	0.898041i	0.276037	+	0.0396882i
$9$	−9.82423	−	25.1492i	−0.363860	−	0.931454i
$10$	46.7102	−	40.4746i	1.47711	−	1.27992i
$11$	−4.52737	−	2.33402i	−0.124096	−	0.0639758i	0.395061	−	0.918655i	$-0.370724\pi$
$11$	−4.52737	−	2.33402i	−0.124096	−	0.0639758i	−0.519157	+	0.854679i	$0.673754\pi$
$12$	21.0588	−	25.2882i	0.506595	−	0.608341i
$13$	−31.9587	+	6.15954i	−0.681827	+	0.131411i	−0.518393	−	0.855143i	$-0.673469\pi$
$13$	−31.9587	+	6.15954i	−0.681827	+	0.131411i	−0.163435	+	0.986554i	$0.552257\pi$
$14$	−15.0258	+	61.9370i	−0.286843	+	1.18238i
$15$	13.7161	+	83.7126i	0.236099	+	1.44097i
$16$	−73.2087	−	14.1098i	−1.14389	−	0.220466i
$17$	−33.5526	+	73.4699i	−0.478688	+	1.04818i	0.504134	+	0.863626i	$0.331812\pi$
$17$	−33.5526	+	73.4699i	−0.478688	+	1.04818i	−0.982822	+	0.184555i	$0.940915\pi$
$18$	32.6212	+	96.8751i	0.427161	+	1.26854i
$19$	24.4178	−	11.1512i	0.294833	−	0.134646i	−0.262507	−	0.964930i	$-0.584549\pi$
$19$	24.4178	−	11.1512i	0.294833	−	0.134646i	0.557340	+	0.830284i	$0.311822\pi$
$20$	−81.2717	+	63.9127i	−0.908645	+	0.714566i
$21$	−61.5933	−	62.1123i	−0.640036	−	0.645429i
$22$	16.7004	+	9.64199i	0.161843	+	0.0934400i
$23$	88.5501	+	65.7714i	0.802781	+	0.596273i
$23$	88.5501	+	65.7714i	0.802781	+	0.596273i
$24$	22.1574	−	24.1695i	0.188453	−	0.205566i
$25$	6.73359	−	141.356i	0.0538687	−	1.13084i
$26$	121.966	−	17.5360i	0.919980	−	0.132273i
$27$	−136.704	−	31.5450i	−0.974394	−	0.224846i
$28$	30.0372	−	102.297i	0.202732	−	0.690441i
$29$	−2.38152	−	24.9404i	−0.0152496	−	0.159701i	0.984639	−	0.174600i	$-0.0558633\pi$
$29$	−2.38152	−	24.9404i	−0.0152496	−	0.159701i	−0.999889	+	0.0148994i	$0.995257\pi$
$30$	−36.7892	−	319.041i	−0.223892	−	1.94162i
$31$	134.446	+	105.730i	0.778943	+	0.612567i	0.926417	−	0.376499i	$-0.122872\pi$
$31$	134.446	+	105.730i	0.778943	+	0.612567i	−0.147475	+	0.989066i	$0.547114\pi$
$32$	225.248	+	54.6446i	1.24433	+	0.301872i
$33$	−23.2826	+	12.5868i	−0.122818	+	0.0663963i
$34$	140.119	−	271.792i	0.706770	−	1.37094i
$35$	148.582	+	231.198i	0.717570	+	1.11656i
$36$	−46.7973	−	164.469i	−0.216654	−	0.761432i
$37$	29.7276	+	101.243i	0.132086	+	0.449844i	0.998801	−	0.0489604i	$-0.0155908\pi$
$37$	29.7276	+	101.243i	0.132086	+	0.449844i	−0.866715	+	0.498804i	$0.833773\pi$
$38$	−94.3481	+	37.7713i	−0.402770	+	0.161245i
$39$	−67.2252	+	155.183i	−0.276016	+	0.637160i
$40$	−83.9149	+	59.7555i	−0.331703	+	0.236205i
$41$	242.458	+	254.283i	0.923550	+	0.968592i	0.999593	−	0.0285129i	$-0.00907716\pi$
$41$	242.458	+	254.283i	0.923550	+	0.968592i	−0.0760432	+	0.997105i	$0.524229\pi$
$42$	221.735	+	245.982i	0.814628	+	0.903709i
$43$	159.967	+	203.415i	0.567320	+	0.721406i	0.982067	−	0.188531i	$-0.0603725\pi$
$43$	159.967	+	203.415i	0.567320	+	0.721406i	−0.414747	+	0.909937i	$0.636130\pi$
$44$	−27.1380	−	17.4405i	−0.0929819	−	0.0597558i
$45$	399.400	+	186.466i	1.32309	+	0.617703i
$46$	−323.016	−	264.675i	−1.03535	−	0.848353i
$47$	177.047	−	102.218i	0.549466	−	0.317234i	−0.199441	−	0.979910i	$-0.563913\pi$
$47$	177.047	−	102.218i	0.549466	−	0.317234i	0.748906	+	0.662676i	$0.230579\pi$
$48$	−275.083	+	272.785i	−0.827184	+	0.820272i
$49$	55.3352	+	22.1529i	0.161327	+	0.0645856i
$50$	−50.9280	+	533.342i	−0.144046	+	1.50852i
$51$	216.928	+	359.276i	0.595609	+	0.986446i
$52$	−205.194	+	19.5936i	−0.547216	+	0.0522528i
$53$	−28.5060	+	32.8977i	−0.0738792	+	0.0852612i	−0.791486	−	0.611187i	$-0.790692\pi$
$53$	−28.5060	+	32.8977i	−0.0738792	+	0.0852612i	0.717607	+	0.696449i	$0.245238\pi$
$54$	511.281	+	143.918i	1.28846	+	0.362680i
$55$	79.7862	−	23.4274i	0.195607	−	0.0574353i
$56$	34.7440	−	100.386i	0.0829084	−	0.239548i
$57$	23.7074	−	137.454i	0.0550898	−	0.319407i
$58$	4.51325	+	94.7447i	0.0102176	+	0.214493i
$59$	140.776	+	730.414i	0.310635	+	1.61173i	0.716360	+	0.697731i	$0.245807\pi$
$59$	140.776	+	730.414i	0.310635	+	1.61173i	−0.405725	+	0.913995i	$0.632981\pi$
$60$	36.0780	+	536.028i	0.0776274	+	1.15335i
$61$	−148.000	−	369.687i	−0.310648	−	0.775961i	−0.998733	−	0.0503303i	$-0.983973\pi$
$61$	−148.000	−	369.687i	−0.310648	−	0.775961i	0.688085	−	0.725630i	$-0.258452\pi$
$62$	−489.380	−	424.050i	−1.00244	−	0.868620i
$63$	−447.019	+	82.2722i	−0.893955	+	0.164529i
$64$	−269.675	−	79.1837i	−0.526709	−	0.154656i
$65$	308.206	−	432.815i	0.588127	−	0.825909i
$66$	90.3139	−	43.4045i	0.168437	−	0.0809503i
$67$	−196.460	−	381.079i	−0.358229	−	0.694868i	0.639004	−	0.769204i	$-0.279347\pi$
$67$	−196.460	−	381.079i	−0.358229	−	0.694868i	−0.997233	+	0.0743353i	$0.976316\pi$
$68$	−255.764	+	442.996i	−0.456117	+	0.790018i
$69$	541.718	−	187.219i	0.945147	−	0.326645i
$70$	−520.235	−	901.074i	−0.888286	−	1.53856i
$71$	−607.259	+	944.914i	−1.01505	+	1.57945i	−0.217617	+	0.976034i	$0.569829\pi$
$71$	−607.259	+	944.914i	−1.01505	+	1.57945i	−0.797430	+	0.603411i	$0.793808\pi$
$72$	−38.7772	−	165.905i	−0.0634713	−	0.271557i
$73$	295.148	+	646.284i	0.473212	+	1.03619i	0.984275	+	0.176646i	$0.0565246\pi$
$73$	295.148	+	646.284i	0.473212	+	1.03619i	−0.511063	+	0.859543i	$0.670748\pi$
$74$	−94.1809	−	388.219i	−0.147950	−	0.609859i
$75$	−586.814	−	443.137i	−0.903460	−	0.682254i
$76$	160.657	−	55.6038i	0.242481	−	0.0839236i
$77$	−53.0055	+	67.4020i	−0.0784486	+	0.0997555i
$78$	282.176	−	574.737i	0.409617	−	0.834310i
$79$	1012.54	+	350.443i	1.44202	+	0.499087i	0.932436	−	0.361335i	$-0.117679\pi$
$79$	1012.54	+	350.443i	1.44202	+	0.499087i	0.509582	+	0.860422i	$0.329800\pi$
$80$	1023.93	−	658.041i	1.43099	−	0.919640i
$81$	−535.969	+	494.144i	−0.735211	+	0.677838i
$82$	−871.081	−	1005.28i	−1.17311	−	1.35384i
$83$	−997.646	−	951.254i	−1.31935	−	1.25800i	−0.943524	−	0.331305i	$-0.892511\pi$
$83$	−997.646	−	951.254i	−1.31935	−	1.25800i	−0.375825	−	0.926691i	$-0.622640\pi$
$84$	−350.926	−	428.670i	−0.455824	−	0.556807i
$85$	−431.264	−	1246.06i	−0.550320	−	1.59004i
$86$	−568.294	−	798.058i	−0.712567	−	1.00066i
$87$	−113.997	−	62.8692i	−0.140480	−	0.0774746i
$88$	−26.1820	−	18.6441i	−0.0317160	−	0.0225849i
$89$	−88.4310	−	615.051i	−0.105322	−	0.732531i	−0.972224	−	0.234052i	$-0.924801\pi$
$89$	−88.4310	−	615.051i	−0.105322	−	0.732531i	0.866902	−	0.498479i	$-0.166108\pi$
$90$	−1476.80	−	777.094i	−1.72965	−	0.910143i
$91$			547.906i			0.631166i
$92$	518.674	+	467.968i	0.587777	+	0.530316i
$93$	847.674	−	267.058i	0.945158	−	0.297770i
$94$	−687.940	+	354.657i	−0.754846	+	0.389150i
$95$	−162.874	+	406.839i	−0.175900	+	0.439377i
$96$	894.568	−	806.388i	0.951057	−	0.857309i
$97$	235.492	−	57.1296i	0.246501	−	0.0598004i	−0.110605	−	0.993864i	$-0.535279\pi$
$97$	235.492	−	57.1296i	0.246501	−	0.0598004i	0.357105	+	0.934064i	$0.383764\pi$
$98$	−205.267	−	93.7423i	−0.211583	−	0.0966266i
$99$	−14.2210	+	136.790i	−0.0144370	+	0.138868i
$100$	127.550	−	887.131i	0.127550	−	0.887131i
$101$	−411.036	+	431.082i	−0.404947	+	0.424696i	−0.894354	−	0.447359i	$-0.852365\pi$
$101$	−411.036	+	431.082i	−0.404947	+	0.424696i	0.489408	+	0.872055i	$0.337213\pi$
$102$	−755.624	−	1397.73i	−0.733509	−	1.35682i
$103$	201.244	−	9.58645i	0.192517	−	0.00917069i	0.0488978	−	0.998804i	$-0.484429\pi$
$103$	201.244	−	9.58645i	0.192517	−	0.00917069i	0.143619	+	0.989633i	$0.454126\pi$
$104$	−205.146	+	9.77231i	−0.193425	+	0.00921398i
$105$	1427.48	+	39.9728i	1.32674	+	0.0371518i
$106$	113.726	−	119.272i	0.104208	−	0.109290i
$107$	−134.607	+	936.213i	−0.121616	+	0.845861i	0.834109	+	0.551600i	$0.185983\pi$
$107$	−134.607	+	936.213i	−0.121616	+	0.845861i	−0.955725	+	0.294261i	$0.904927\pi$
$108$	−842.866	−	281.175i	−0.750971	−	0.250519i
$109$	740.823	+	338.322i	0.650990	+	0.297297i	0.713404	−	0.700753i	$-0.247153\pi$
$109$	740.823	+	338.322i	0.650990	+	0.297297i	−0.0624137	+	0.998050i	$0.519880\pi$
$110$	−305.943	+	74.2209i	−0.265186	+	0.0643335i
$111$	521.543	+	169.134i	0.445970	+	0.144626i
$112$	−466.474	+	1165.20i	−0.393551	+	0.983042i
$113$	−1561.62	+	805.070i	−1.30004	+	0.670218i	−0.962548	−	0.271110i	$-0.912609\pi$
$113$	−1561.62	+	805.070i	−1.30004	+	0.670218i	−0.337493	+	0.941328i	$0.609579\pi$
$114$	−114.414	+	515.530i	−0.0939986	+	0.423542i
$115$	−1787.20	+	220.482i	−1.44919	+	0.178783i
$116$		−	158.672i		−	0.127003i
$117$	468.877	+	743.225i	0.370493	+	0.587275i
$118$	−400.785	−	2787.52i	−0.312672	−	2.17468i
$119$	1107.57	+	788.698i	0.853201	+	0.607562i
$120$	10.4936	+	535.188i	0.00798276	+	0.407131i
$121$	−757.006	−	1063.07i	−0.568750	−	0.798698i
$122$	493.088	+	1424.68i	0.365919	+	1.05725i
$123$	1801.63	−	295.193i	1.32071	−	0.216396i
$124$	783.973	+	747.516i	0.567765	+	0.541362i
$125$	176.567	+	203.770i	0.126341	+	0.145806i
$126$	1705.29	−	230.597i	1.20571	−	0.163041i
$127$	−100.196	+	64.3920i	−0.0700075	+	0.0449911i	−0.575176	−	0.818029i	$-0.695067\pi$
$127$	−100.196	+	64.3920i	−0.0700075	+	0.0449911i	0.505169	+	0.863021i	$0.331430\pi$
$128$	−746.721	−	258.443i	−0.515636	−	0.178464i
$129$	1341.62	−	90.2995i	0.915686	−	0.0616312i
$130$	−1243.49	+	1581.23i	−0.838935	+	1.06679i
$131$	−1312.58	+	454.287i	−0.875422	+	0.302987i	−0.727579	−	0.686024i	$-0.759354\pi$
$131$	−1312.58	+	454.287i	−0.875422	+	0.302987i	−0.147843	+	0.989011i	$0.547233\pi$
$132$	−154.364	+	65.3376i	−0.101785	+	0.0430827i
$133$	−106.538	−	439.156i	−0.0694589	−	0.286313i
$134$	674.291	+	1476.49i	0.434701	+	0.951862i
$135$	1970.56	−	1167.36i	1.25629	−	0.744225i
$136$	−275.549	+	428.763i	−0.173736	+	0.270339i
$137$	−105.259	−	182.313i	−0.0656412	−	0.113694i	0.831337	−	0.555769i	$-0.187576\pi$
$137$	−105.259	−	182.313i	−0.0656412	−	0.113694i	−0.896978	+	0.442075i	$0.854243\pi$
$138$	−2082.31	+	610.408i	−1.28448	+	0.376532i
$139$	−926.781	+	1605.23i	−0.565529	+	0.979525i	0.431471	+	0.902127i	$0.357995\pi$
$139$	−926.781	+	1605.23i	−0.565529	+	0.979525i	−0.997000	+	0.0773982i	$0.975339\pi$
$140$	797.561	+	1547.05i	0.481473	+	0.933927i
$141$	80.2265	−	1059.25i	0.0479169	−	0.632656i
$142$	2466.65	−	3463.93i	1.45772	−	2.04709i
$143$	159.065	+	46.7058i	0.0930190	+	0.0273129i
$144$	364.367	+	1979.76i	0.210861	+	1.14570i
$145$	309.111	+	267.846i	0.177036	+	0.153403i
$146$	−999.720	−	2497.18i	−0.566695	−	1.41553i
$147$	257.217	−	172.520i	0.144319	−	0.0967976i
$148$	126.470	+	656.188i	0.0702416	+	0.364448i
$149$	−114.727	−	2408.42i	−0.0630793	−	1.32420i	−0.779444	−	0.626472i	$-0.784498\pi$
$149$	−114.727	−	2408.42i	−0.0630793	−	1.32420i	0.716365	−	0.697726i	$-0.245805\pi$
$150$	2139.29	+	1781.49i	1.16448	+	0.969722i
$151$	−700.420	+	2023.73i	−0.377479	+	1.09065i	0.583041	+	0.812443i	$0.301863\pi$
$151$	−700.420	+	2023.73i	−0.377479	+	1.09065i	−0.960520	+	0.278211i	$0.910258\pi$
$152$	162.528	−	47.7226i	0.0867288	−	0.0254659i
$153$	2177.34	+	122.037i	1.15051	+	0.0644844i
$154$	212.590	−	245.341i	0.111240	−	0.128378i
$155$	−2779.63	+	265.422i	−1.44042	+	0.137543i
$156$	−517.247	+	937.892i	−0.265467	+	0.481356i
$157$	−3.60695	+	37.7736i	−0.00183354	+	0.0192017i	−0.996342	−	0.0854508i	$-0.972767\pi$
$157$	−3.60695	+	37.7736i	−0.00183354	+	0.0192017i	0.994509	+	0.104652i	$0.0333730\pi$
$158$	−3765.92	−	1507.65i	−1.89621	−	0.759127i
$159$	57.6246	+	218.724i	0.0287417	+	0.109094i
$160$	−3276.96	+	1891.95i	−1.61916	+	0.934825i
$161$	1369.32	−	1254.20i	0.670297	−	0.613944i
$162$	2115.86	−	1772.12i	1.02616	−	0.859451i
$163$	266.280	+	171.128i	0.127955	+	0.0822317i	0.603053	−	0.797701i	$-0.293951\pi$
$163$	266.280	+	171.128i	0.127955	+	0.0822317i	−0.475098	+	0.879933i	$0.657587\pi$
$164$	1375.51	+	1749.10i	0.654934	+	0.832816i
$165$	133.289	−	411.012i	0.0628881	−	0.193922i
$166$	3601.38	+	3777.01i	1.68386	+	1.76598i
$167$	2360.45	−	1680.87i	1.09376	−	0.778860i	0.116982	−	0.993134i	$-0.462678\pi$
$167$	2360.45	−	1680.87i	1.09376	−	0.778860i	0.976774	+	0.214274i	$0.0687387\pi$
$168$	−328.933	−	443.267i	−0.151058	−	0.203564i
$169$	−1056.20	+	422.840i	−0.480749	+	0.192463i
$170$	1406.42	+	4789.82i	0.634514	+	2.16096i
$171$	−520.331	−	504.537i	−0.232694	−	0.225631i
$172$	886.064	+	1378.74i	0.392801	+	0.611210i
$173$	1329.58	−	2579.03i	0.584314	−	1.13341i	−0.392586	−	0.919715i	$-0.628419\pi$
$173$	1329.58	−	2579.03i	0.584314	−	1.13341i	0.976900	−	0.213696i	$-0.0685502\pi$
$174$	419.769	+	258.284i	0.182889	+	0.112531i
$175$	−2315.17	−	561.655i	−1.00006	−	0.242612i
$176$	298.510	+	234.751i	0.127847	+	0.100540i
$177$	3546.70	+	1536.43i	1.50614	+	0.652457i
$178$	223.618	+	2341.83i	0.0941621	+	0.986110i
$179$	−353.809	+	1204.96i	−0.147737	+	0.503146i	−0.999794	−	0.0203033i	$-0.993537\pi$
$179$	−353.809	+	1204.96i	−0.147737	+	0.503146i	0.852057	+	0.523449i	$0.175355\pi$
$180$	2405.79	+	1416.03i	0.996205	+	0.586358i
$181$	1190.39	−	171.152i	0.488844	−	0.0702851i	0.106514	−	0.994311i	$-0.466031\pi$
$181$	1190.39	−	171.152i	0.488844	−	0.0702851i	0.382329	+	0.924026i	$0.375122\pi$
$182$	98.7006	−	2071.98i	0.0401988	−	0.843876i
$183$	−2020.02	−	448.312i	−0.815979	−	0.181094i
$184$	494.020	+	490.331i	0.197933	+	0.196455i
$185$	−1491.81	−	861.299i	−0.592867	−	0.342292i
$186$	−3253.70	+	857.214i	−1.28265	+	0.337925i
$187$	323.385	−	254.313i	0.126461	−	0.0994504i
$188$	1177.74	−	537.854i	0.456890	−	0.208655i
$189$	−956.970	+	2159.23i	−0.368303	+	0.831010i
$190$	689.218	−	1509.18i	0.263164	−	0.576248i
$191$	3014.38	+	580.974i	1.14195	+	0.220093i	0.724943	−	0.688809i	$-0.241866\pi$
$191$	3014.38	+	580.974i	1.14195	+	0.220093i	0.417009	+	0.908902i	$0.363078\pi$
$192$	−1130.06	+	925.109i	−0.424765	+	0.347729i
$193$	−693.179	+	2857.32i	−0.258529	+	1.06567i	0.683449	+	0.729998i	$0.260479\pi$
$193$	−693.179	+	2857.32i	−0.258529	+	1.06567i	−0.941978	+	0.335674i	$0.891036\pi$
$194$	−900.835	+	173.622i	−0.333383	+	0.0642542i
$195$	−953.980	−	2590.86i	−0.350338	−	0.951464i
$196$	335.528	+	172.977i	0.122277	+	0.0630381i
$197$	2208.26	−	1913.47i	0.798641	−	0.692027i	−0.156663	−	0.987652i	$-0.550073\pi$
$197$	2208.26	−	1913.47i	0.798641	−	0.692027i	0.955304	+	0.295625i	$0.0955280\pi$
$198$	78.4201	−	514.728i	0.0281468	−	0.184748i
$199$	−3423.62	−	492.242i	−1.21957	−	0.175347i	−0.497681	−	0.867360i	$-0.665815\pi$
$199$	−3423.62	−	492.242i	−1.21957	−	0.175347i	−0.721885	+	0.692013i	$0.756724\pi$
$200$	169.001	−	876.862i	0.0597510	−	0.310017i
$201$	−2210.91	−	273.759i	−0.775849	−	0.0960671i
$202$	1632.05	−	1556.15i	0.568467	−	0.542032i
$203$	−419.856	−	40.0914i	−0.145163	−	0.0138614i
$204$	1151.35	+	2395.67i	0.395150	+	0.822209i
$205$	−5729.37	−	272.923i	−1.95198	−	0.0929844i
$206$	−762.761			−0.257981
$207$	784.165	−	2873.12i	0.263301	−	0.964714i
$208$	2426.57			0.808904
$209$	−136.576	−	6.50590i	−0.0452016	−	0.00215322i
$210$	−5391.00	−	408.311i	−1.77150	−	0.134172i
$211$	5375.49	+	513.297i	1.75386	+	0.167473i	0.921916	−	0.387391i	$-0.126624\pi$
$211$	5375.49	+	513.297i	1.75386	+	0.167473i	0.831941	+	0.554864i	$0.187230\pi$
$212$	−199.523	+	190.244i	−0.0646380	+	0.0616322i
$213$	2274.98	+	5374.79i	0.731828	+	1.72899i
$214$	677.686	−	3516.17i	0.216475	−	1.12318i
$215$	−4181.66	−	601.232i	−1.32645	−	0.190715i
$216$	−825.525	−	319.796i	−0.260046	−	0.100738i
$217$	2176.06	−	1885.56i	0.680739	−	0.589864i
$218$	−2740.58	−	1412.87i	−0.851446	−	0.438951i
$219$	3638.09	+	627.481i	1.12256	+	0.193613i
$220$	517.121	−	99.6668i	0.158474	−	0.0305433i
$221$	619.757	−	2554.67i	0.188640	−	0.777583i
$222$	−1941.82	−	733.556i	−0.587056	−	0.221770i
$223$	296.085	+	57.0658i	0.0889118	+	0.0171364i	0.233513	−	0.972354i	$-0.424978\pi$
$223$	296.085	+	57.0658i	0.0889118	+	0.0171364i	−0.144601	+	0.989490i	$0.546190\pi$
$224$	1620.90	−	3549.29i	0.483488	−	1.05869i
$225$	−3621.14	+	1219.36i	−1.07293	+	0.361293i
$226$	6050.50	−	2763.17i	1.78085	−	0.813289i
$227$	3576.03	−	2812.22i	1.04559	−	0.822262i	0.0611772	−	0.998127i	$-0.480515\pi$
$227$	3576.03	−	2812.22i	1.04559	−	0.822262i	0.984414	+	0.175865i	$0.0562721\pi$
$228$	232.214	−	852.314i	0.0674505	−	0.247570i
$229$	412.965	+	238.425i	0.119168	+	0.0688017i	0.558399	−	0.829572i	$-0.311416\pi$
$229$	412.965	+	238.425i	0.119168	+	0.0688017i	−0.439231	+	0.898374i	$0.644749\pi$
$230$	6798.26	−	511.835i	1.94897	−	0.146737i
$231$	133.884	+	424.965i	0.0381340	+	0.121042i
$232$	7.52251	−	157.917i	0.00212878	−	0.0446886i
$233$	−4170.69	+	599.655i	−1.17267	+	0.168604i	−0.700992	−	0.713169i	$-0.747259\pi$
$233$	−4170.69	+	599.655i	−1.17267	+	0.168604i	−0.471674	+	0.881773i	$0.656350\pi$
$234$	−1639.24	−	2895.07i	−0.457950	−	0.808790i
$235$	−940.276	+	3202.29i	−0.261008	+	0.888911i
$236$	447.811	+	4689.69i	0.123517	+	1.29353i
$237$	4470.98	−	3317.76i	1.22541	−	0.909331i
$238$	−4046.36	−	3182.09i	−1.10204	−	0.866657i
$239$	−2669.33	−	647.573i	−0.722447	−	0.175264i	−0.142356	−	0.989816i	$-0.545468\pi$
$239$	−2669.33	−	647.573i	−0.722447	−	0.175264i	−0.580091	+	0.814552i	$0.696983\pi$
$240$	177.032	−	6322.02i	0.0476139	−	1.70035i
$241$	−1979.04	+	3838.80i	−0.528967	+	1.02605i	0.461349	+	0.887219i	$0.347366\pi$
$241$	−1979.04	+	3838.80i	−0.528967	+	1.02605i	−0.990316	+	0.138834i	$0.955665\pi$
$242$	2671.22	+	4156.50i	0.709556	+	1.10409i
$243$	549.676	+	3747.90i	0.145110	+	0.989416i
$244$	−710.521	−	2419.81i	−0.186420	−	0.634888i
$245$	−903.364	+	361.652i	−0.235567	+	0.0943067i
$246$	−6866.31	+	791.765i	−1.77959	+	0.205208i
$247$	−711.675	+	506.782i	−0.183331	+	0.130550i
$248$	744.802	+	781.126i	0.190706	+	0.200006i
$249$	−7005.38	+	1493.18i	−1.78292	+	0.380025i
$250$	−631.006	−	802.390i	−0.159633	−	0.202990i
$251$	−2982.94	−	1917.02i	−0.750125	−	0.482076i	0.108873	−	0.994056i	$-0.465276\pi$
$251$	−2982.94	−	1917.02i	−0.750125	−	0.482076i	−0.858997	+	0.511980i	$0.828912\pi$
$252$	−2867.79	+	249.579i	−0.716880	+	0.0623888i
$253$	−247.387	−	504.449i	−0.0614747	−	0.125354i
$254$	390.505	−	225.458i	0.0964663	−	0.0556948i
$255$	−6610.57	−	1801.05i	−1.62341	−	0.442299i
$256$	4864.69	+	1947.53i	1.18767	+	0.475471i
$257$	−605.722	+	6343.41i	−0.147019	+	1.53965i	0.557625	+	0.830093i	$0.311713\pi$
$257$	−605.722	+	6343.41i	−0.147019	+	1.53965i	−0.704645	+	0.709560i	$0.748894\pi$
$258$	−5089.80	+	99.7976i	−1.22821	+	0.0240819i
$259$	1768.27	−	168.849i	0.424227	−	0.0405088i
$260$	2203.66	−	2543.16i	0.525637	−	0.606617i
$261$	−603.836	+	304.914i	−0.143205	+	0.0723130i
$262$	5045.52	−	1481.50i	1.18975	−	0.349341i
$263$	−1979.90	+	5720.55i	−0.464205	+	1.34123i	0.433705	+	0.901055i	$0.357206\pi$
$263$	−1979.90	+	5720.55i	−0.464205	+	1.34123i	−0.897910	+	0.440178i	$0.854915\pi$
$264$	−156.727	+	57.7084i	−0.0365375	+	0.0134534i
$265$	−33.8135	−	709.834i	−0.00783830	−	0.164546i
$266$	323.778	+	1679.92i	0.0746321	+	0.387228i
$267$	−2898.29	−	1422.96i	−0.664317	−	0.326157i
$268$	−1009.18	−	2520.80i	−0.230020	−	0.574562i
$269$	1889.32	+	1637.10i	0.428229	+	0.371063i	0.842144	−	0.539253i	$-0.181293\pi$
$269$	1889.32	+	1637.10i	0.428229	+	0.371063i	−0.413914	+	0.910316i	$0.635839\pi$
$270$	−7662.23	+	4059.56i	−1.72707	+	0.915025i
$271$	−3992.22	−	1172.22i	−0.894870	−	0.262758i	−0.198211	−	0.980159i	$-0.563513\pi$
$271$	−3992.22	−	1172.22i	−0.894870	−	0.262758i	−0.696660	+	0.717402i	$0.745331\pi$
$272$	3492.99	−	4905.22i	0.778653	−	1.09346i
$273$	2351.03	+	1605.64i	0.521211	+	0.355963i
$274$	365.207	+	708.404i	0.0805219	+	0.156191i
$275$	−360.412	+	624.253i	−0.0790316	+	0.136887i
$276$	3528.00	−	854.212i	0.769423	−	0.186295i
$277$	2956.64	+	5121.05i	0.641326	+	1.11081i	0.985137	+	0.171770i	$0.0549487\pi$
$277$	2956.64	+	5121.05i	0.641326	+	1.11081i	−0.343811	+	0.939039i	$0.611718\pi$
$278$	3793.92	−	5903.45i	0.818504	−	1.27362i
$279$	1338.19	−	4419.93i	0.287152	−	0.948438i
$280$	720.420	+	1577.50i	0.153762	+	0.336692i
$281$	1445.03	+	5956.51i	0.306774	+	1.26454i	0.891393	+	0.453231i	$0.149729\pi$
$281$	1445.03	+	5956.51i	0.306774	+	1.26454i	−0.584619	+	0.811308i	$0.698756\pi$
$282$	−494.202	+	3991.23i	−0.104359	+	0.842817i
$283$	7879.54	−	2727.14i	1.65509	−	0.572832i	0.669622	−	0.742702i	$-0.266456\pi$
$283$	7879.54	−	2727.14i	1.65509	−	0.572832i	0.985466	+	0.169870i	$0.0543348\pi$
$284$	−4397.35	+	5591.69i	−0.918784	+	1.16833i
$285$	1268.42	+	1891.13i	0.263630	+	0.393055i
$286$	−593.114	−	205.279i	−0.122628	−	0.0424419i
$287$	4975.77	−	3197.74i	1.02338	−	0.657688i
$288$	−838.618	−	6201.66i	−0.171583	−	1.26888i
$289$	−1054.72	−	1217.22i	−0.214680	−	0.247754i
$290$	−1120.70	−	1068.58i	−0.226929	−	0.216377i
$291$	444.971	−	1177.90i	0.0896380	−	0.237284i
$292$	1471.71	+	4252.22i	0.294949	+	0.852199i
$293$	−1032.57	−	1450.05i	−0.205883	−	0.289122i	0.698705	−	0.715410i	$-0.253760\pi$
$293$	−1032.57	−	1450.05i	−0.205883	−	0.289122i	−0.904587	+	0.426289i	$0.859821\pi$
$294$	−1003.78	+	606.074i	−0.199121	+	0.120228i
$295$	−9891.96	−	7044.03i	−1.95231	−	1.39024i
$296$	94.7587	+	659.061i	0.0186072	+	0.129416i
$297$	545.282	+	461.885i	0.106534	+	0.0902401i
$298$			9128.44i			1.77448i
$299$	−3235.07	−	1556.54i	−0.625715	−	0.301061i
$300$	−3432.83	−	3147.05i	−0.660649	−	0.605651i
$301$	3872.11	−	1996.21i	0.741478	−	0.382259i
$302$	3013.29	−	7526.84i	0.574157	−	1.43418i
$303$	645.200	+	3027.02i	0.122329	+	0.573920i
$304$	−1944.94	+	471.837i	−0.366940	+	0.0890187i
$305$	5913.46	+	2700.59i	1.11018	+	0.507000i
$306$	−8211.93	−	853.730i	−1.53413	−	0.159492i
$307$	1067.81	−	7426.75i	0.198511	−	1.38067i	−0.610097	−	0.792327i	$-0.708870\pi$
$307$	1067.81	−	7426.75i	0.198511	−	1.38067i	0.808608	−	0.588348i	$-0.200221\pi$
$308$	−374.753	+	393.030i	−0.0693297	+	0.0727109i
$309$	548.614	−	891.620i	0.101002	−	0.164150i
$310$	10559.4	−	503.004i	1.93462	−	0.0921572i
$311$	6553.39	−	312.177i	1.19488	−	0.0569193i	0.559309	−	0.828959i	$-0.311066\pi$
$311$	6553.39	−	312.177i	1.19488	−	0.0569193i	0.635574	+	0.772040i	$0.280763\pi$
$312$	−559.250	+	908.906i	−0.101479	+	0.164925i
$313$	−2062.78	+	2163.38i	−0.372508	+	0.390675i	−0.883129	−	0.469131i	$-0.844567\pi$
$313$	−2062.78	+	2163.38i	−0.372508	+	0.390675i	0.510620	+	0.859806i	$0.329416\pi$
$314$	20.4448	−	142.196i	0.00367441	−	0.0255561i
$315$	4354.76	−	6008.07i	0.778930	−	1.07466i
$316$	6172.63	+	2818.95i	1.09885	+	0.501830i
$317$	−6118.77	+	1484.40i	−1.08411	+	0.263003i	−0.737734	−	0.675091i	$-0.764104\pi$
$317$	−6118.77	+	1484.40i	−1.08411	+	0.263003i	−0.346380	+	0.938094i	$0.612589\pi$
$318$	−178.514	−	837.517i	−0.0314798	−	0.147691i
$319$	−47.4295	+	118.473i	−0.00832458	+	0.0207938i
$320$	4078.32	−	2102.52i	0.712454	−	0.367296i
$321$	3622.76	+	3321.17i	0.629915	+	0.577476i
$322$	−5404.22	+	4496.27i	−0.935296	+	0.778159i
$323$			2168.13i			0.373492i
$324$	−3676.53	+	2792.70i	−0.630406	+	0.478858i
$325$	655.488	+	4559.02i	0.111877	+	0.778119i
$326$	−976.147	−	695.111i	−0.165840	−	0.118094i
$327$	3622.71	−	2187.36i	0.612649	−	0.369913i
$328$	1286.04	+	1805.99i	0.216493	+	0.304022i
$329$	−1125.62	−	3252.26i	−0.188624	−	0.544994i
$330$	−578.091	+	1530.29i	−0.0964330	+	0.255271i
$331$	−2108.01	−	2009.98i	−0.350051	−	0.333773i	0.494570	−	0.869138i	$-0.335326\pi$
$331$	−2108.01	−	2009.98i	−0.350051	−	0.333773i	−0.844621	+	0.535365i	$0.820174\pi$
$332$	−5717.05	−	6597.83i	−0.945072	−	1.09067i
$333$	2254.13	−	1742.26i	0.370948	−	0.286712i
$334$	−9229.16	+	5931.22i	−1.51197	+	0.971683i
$335$	6614.35	+	2289.25i	1.07875	+	0.373358i
$336$	3632.77	+	5416.23i	0.589833	+	0.879403i
$337$	−255.672	+	325.113i	−0.0413274	+	0.0525520i	−0.806277	−	0.591538i	$-0.798521\pi$
$337$	−255.672	+	325.113i	−0.0413274	+	0.0525520i	0.764950	+	0.644090i	$0.222764\pi$
$338$	4070.35	−	1408.76i	0.655024	−	0.226706i
$339$	−1121.83	+	9060.06i	−0.179734	+	1.45155i
$340$	−1968.79	−	8115.46i	−0.314037	−	1.29448i
$341$	−361.912	−	792.477i	−0.0574740	−	0.125851i
$342$	1876.82	+	2001.71i	0.296744	+	0.316491i
$343$	3664.24	−	5701.67i	0.576823	−	0.897555i
$344$	816.482	+	1414.19i	0.127970	+	0.221651i
$345$	−4291.33	+	8314.88i	−0.669674	+	1.29756i
$346$	−5492.59	+	9513.45i	−0.853421	+	1.47817i
$347$	2336.43	+	4532.05i	0.361459	+	0.701132i	0.997511	−	0.0705138i	$-0.0224639\pi$
$347$	2336.43	+	4532.05i	0.361459	+	0.701132i	−0.636052	+	0.771646i	$0.719434\pi$
$348$	−680.852	−	464.990i	−0.104878	−	0.0716267i
$349$	2970.36	−	4171.29i	0.455587	−	0.639783i	−0.521342	−	0.853348i	$-0.674568\pi$
$349$	2970.36	−	4171.29i	0.455587	−	0.639783i	0.976929	+	0.213566i	$0.0685077\pi$
$350$	8653.97	+	2541.03i	1.32164	+	0.388068i
$351$	4563.18	+	166.106i	0.693916	+	0.0252595i
$352$	−892.240	−	773.130i	−0.135104	−	0.117068i
$353$	−4025.13	−	10054.3i	−0.606901	−	1.51597i	−0.839481	−	0.543389i	$-0.817141\pi$
$353$	−4025.13	−	10054.3i	−0.606901	−	1.51597i	0.232580	−	0.972577i	$-0.425283\pi$
$354$	−13135.6	−	6449.12i	−1.97217	−	0.968268i
$355$	−3470.29	−	18005.6i	−0.518827	−	2.69193i
$356$	−187.250	−	3930.86i	−0.0278771	−	0.585211i
$357$	6630.00	−	2441.23i	0.982904	−	0.361915i
$358$	1555.04	−	4493.00i	0.229571	−	0.663302i
$359$	−12624.7	+	3706.94i	−1.85600	+	0.544972i	−0.856414	+	0.516289i	$0.827313\pi$
$359$	−12624.7	+	3706.94i	−1.85600	+	0.544972i	−0.999589	+	0.0286823i	$0.990869\pi$
$360$	2327.21	+	1523.34i	0.340707	+	0.223020i
$361$	−4019.81	+	4639.11i	−0.586064	+	0.676354i
$362$	−4532.44	+	432.796i	−0.658066	+	0.0628377i
$363$	−6779.96	+	132.937i	−0.980319	+	0.0192215i
$364$	−329.846	+	3454.30i	−0.0474962	+	0.497403i
$365$	−10768.1	−	4310.90i	−1.54419	−	0.618199i
$366$	7558.22	+	2059.24i	1.07944	+	0.294094i
$367$	7372.66	−	4256.61i	1.04864	−	0.605431i	0.126369	−	0.991983i	$-0.459668\pi$
$367$	7372.66	−	4256.61i	1.04864	−	0.605431i	0.922267	+	0.386553i	$0.126334\pi$
$368$	−5554.61	−	6064.46i	−0.786832	−	0.859055i
$369$	4013.05	−	8595.76i	0.566155	−	1.21268i
$370$	5486.35	+	3525.86i	0.770869	+	0.495407i
$371$	452.985	+	576.017i	0.0633903	+	0.0806073i
$372$	5504.98	−	1173.37i	0.767258	−	0.163539i
$373$	−2976.47	−	3121.63i	−0.413178	−	0.433329i	0.483952	−	0.875094i	$-0.339201\pi$
$373$	−2976.47	−	3121.63i	−0.413178	−	0.433329i	−0.897131	+	0.441765i	$0.854352\pi$
$374$	−1268.74	+	903.465i	−0.175414	+	0.124912i
$375$	1391.79	−	160.490i	0.191658	−	0.0221005i
$376$	1197.63	−	479.459i	0.164264	−	0.0657612i
$377$	229.732	+	782.395i	0.0313841	+	0.106884i
$378$	4007.88	−	7993.04i	0.545352	−	1.08761i
$379$	1294.71	+	2014.61i	0.175475	+	0.273044i	0.917839	−	0.396952i	$-0.129932\pi$
$379$	1294.71	+	2014.61i	0.175475	+	0.273044i	−0.742364	+	0.669996i	$0.766296\pi$
$380$	−1271.77	+	2466.89i	−0.171685	+	0.333023i
$381$	−17.3233	+	618.636i	−0.00232939	+	0.0831855i
$382$	−11294.6	−	2740.05i	−1.51279	−	0.366998i
$383$	−10100.0	−	7942.75i	−1.34749	−	1.05968i	−0.992165	−	0.124932i	$-0.960129\pi$
$383$	−10100.0	−	7942.75i	−1.34749	−	1.05968i	−0.355322	−	0.934744i	$-0.615629\pi$
$384$	−3297.24	+	2446.76i	−0.438181	+	0.325158i
$385$	−133.064	−	1393.51i	−0.0176145	−	0.184468i
$386$	3136.08	−	10680.5i	0.413529	−	1.40835i
$387$	3544.17	−	6021.45i	0.465531	−	0.790923i
$388$	1519.06	−	218.408i	0.198760	−	0.0285773i
$389$	−143.238	+	3006.95i	−0.0186696	+	0.391923i	0.970122	+	0.242619i	$0.0780065\pi$
$389$	−143.238	+	3006.95i	−0.0186696	+	0.391923i	−0.988791	+	0.149304i	$0.952297\pi$
$390$	3140.88	+	9969.55i	0.407807	+	1.29443i
$391$	−7803.31	+	4298.97i	−1.00928	+	0.556031i
$392$	325.730	+	188.060i	0.0419690	+	0.0242308i
$393$	−1897.20	+	6963.47i	−0.243514	+	0.893793i
$394$	−8695.55	+	6838.26i	−1.11187	+	0.874382i
$395$	−15911.3	+	7266.46i	−2.02680	+	0.925608i
$396$	−172.006	+	853.839i	−0.0218274	+	0.108351i
$397$	5243.38	−	11481.4i	0.662866	−	1.45147i	−0.216961	−	0.976180i	$-0.569614\pi$
$397$	5243.38	−	11481.4i	0.662866	−	1.45147i	0.879827	−	0.475294i	$-0.157658\pi$
$398$	12858.2	+	2478.22i	1.61941	+	0.312115i
$399$	−2196.60	−	829.803i	−0.275608	−	0.104116i
$400$	−2487.46	+	10253.4i	−0.310932	+	1.28168i
$401$	2972.12	−	572.830i	0.370127	−	0.0713361i	−0.000796340	−	1.00000i	$-0.500253\pi$
$401$	2972.12	−	572.830i	0.370127	−	0.0713361i	0.370923	+	0.928664i	$0.379041\pi$
$402$	8311.55	+	1433.53i	1.03120	+	0.177856i
$403$	−4947.97	−	2550.86i	−0.611603	−	0.315303i
$404$	−2850.92	+	2470.34i	−0.351085	+	0.304217i
$405$	765.671	−	11876.5i	0.0939420	−	1.45716i
$406$	1580.52	+	227.245i	0.193202	+	0.0277782i
$407$	101.715	−	527.749i	0.0123878	−	0.0642741i
$408$	1032.29	+	2438.86i	0.125260	+	0.295935i
$409$	−10577.8	+	10085.9i	−1.27882	+	1.21935i	−0.316143	+	0.948712i	$0.602388\pi$
$409$	−10577.8	+	10085.9i	−1.27882	+	1.21935i	−0.962680	+	0.270643i	$0.912764\pi$
$410$	21617.2	+	2064.20i	2.60390	+	0.248642i
$411$	−1090.75	−	82.6130i	−0.130907	−	0.00991483i
$412$	1274.53	+	60.7133i	0.152407	+	0.00726002i
$413$	12522.3			1.49197
$414$	−3483.00	+	10723.8i	−0.413478	+	1.27306i
$415$	22504.0			2.66187
$416$	−7535.22	−	358.947i	−0.888088	−	0.0423049i
$417$	4172.00	+	8680.90i	0.489937	+	1.01944i
$418$	515.308	+	49.2059i	0.0602979	+	0.00575775i
$419$	6543.37	−	6239.09i	0.762923	−	0.727445i	−0.204981	−	0.978766i	$-0.565713\pi$
$419$	6543.37	−	6239.09i	0.762923	−	0.727445i	0.967904	+	0.251321i	$0.0808649\pi$
$420$	8975.55	+	1111.37i	1.04277	+	0.129117i
$421$	−2419.16	+	12551.8i	−0.280054	+	1.45306i	0.520534	+	0.853841i	$0.325733\pi$
$421$	−2419.16	+	12551.8i	−0.280054	+	1.45306i	−0.800587	+	0.599216i	$0.795479\pi$
$422$	−20235.7	−	2909.45i	−2.33426	−	0.335616i
$423$	−4310.05	−	3448.38i	−0.495418	−	0.396373i
$424$	−207.592	+	179.880i	−0.0237773	+	0.0206031i
$425$	10159.5	+	5237.56i	1.15954	+	0.597786i
$426$	−7634.94	−	20735.3i	−0.868343	−	2.35828i
$427$	−6582.49	+	1268.67i	−0.746017	+	0.143783i
$428$	−1412.25	+	5821.37i	−0.159495	+	0.657446i
$429$	666.555	−	545.668i	0.0750153	−	0.0614104i
$430$	15705.2	+	3026.93i	1.76133	+	0.339469i
$431$	3285.24	−	7193.68i	0.367157	−	0.803961i	−0.632413	−	0.774631i	$-0.717935\pi$
$431$	3285.24	−	7193.68i	0.367157	−	0.803961i	0.999570	−	0.0293296i	$-0.00933725\pi$
$432$	9562.81	+	4238.23i	1.06502	+	0.472019i
$433$	−1039.77	+	474.845i	−0.115399	+	0.0527012i	−0.472278	−	0.881450i	$-0.656568\pi$
$433$	−1039.77	+	474.845i	−0.115399	+	0.0527012i	0.356879	+	0.934151i	$0.383841\pi$
$434$	−8568.73	+	6738.52i	−0.947724	+	0.745298i
$435$	2055.16	−	541.449i	0.226523	−	0.0596793i
$436$	4466.89	+	2578.96i	0.490654	+	0.283279i
$437$	2895.63	+	618.550i	0.316972	+	0.0677100i
$438$	−13644.9	−	3028.28i	−1.48854	−	0.330358i
$439$	−404.233	+	8485.89i	−0.0439476	+	0.922573i	0.864001	+	0.503491i	$0.167951\pi$
$439$	−404.233	+	8485.89i	−0.0439476	+	0.922573i	−0.907948	+	0.419082i	$0.862352\pi$
$440$	519.385	−	74.6762i	0.0562743	−	0.00809102i
$441$	13.5025	−	1609.27i	0.00145799	−	0.173769i
$442$	−2803.90	+	9549.21i	−0.301737	+	1.02762i
$443$	1189.71	+	12459.2i	0.127595	+	1.33624i	0.801754	+	0.597654i	$0.203900\pi$
$443$	1189.71	+	12459.2i	0.127595	+	1.33624i	−0.674159	+	0.738586i	$0.735494\pi$
$444$	3186.28	+	1380.29i	0.340572	+	0.147535i
$445$	7973.84	+	6270.70i	0.849430	+	0.667999i
$446$	−1109.41	−	269.139i	−0.117785	−	0.0285743i
$447$	−10670.6	−	6565.61i	−1.12909	−	0.694726i
$448$	−2168.08	+	4205.49i	−0.228643	+	0.443506i
$449$	2047.57	+	3186.09i	0.215214	+	0.334879i	0.932029	−	0.362384i	$-0.118037\pi$
$449$	2047.57	+	3186.09i	0.215214	+	0.334879i	−0.716815	+	0.697263i	$0.754401\pi$
$450$	13913.5	−	3958.88i	1.45753	−	0.414718i
$451$	−504.196	−	1717.13i	−0.0526422	−	0.179283i
$452$	−10330.0	+	4135.50i	−1.07496	+	0.430348i
$453$	6631.10	+	8936.01i	0.687763	+	0.926822i
$454$	−14029.8	+	9990.60i	−1.45034	+	1.03278i
$455$	−6172.57	−	6473.60i	−0.635988	−	0.667005i
$456$	271.516	−	837.249i	0.0278836	−	0.0859820i
$457$	314.128	+	399.446i	0.0321538	+	0.0408869i	0.801864	−	0.597506i	$-0.203842\pi$
$457$	314.128	+	399.446i	0.0321538	+	0.0408869i	−0.769710	+	0.638393i	$0.779599\pi$
$458$	−1518.73	−	976.031i	−0.154947	−	0.0995784i
$459$	6904.37	−	8985.20i	0.702110	−	0.913711i
$460$	−11400.2	+	314.127i	−1.15552	+	0.0318397i
$461$	7564.49	−	4367.36i	0.764237	−	0.441232i	−0.0665779	−	0.997781i	$-0.521208\pi$
$461$	7564.49	−	4367.36i	0.764237	−	0.441232i	0.830815	+	0.556549i	$0.187875\pi$
$462$	−429.748	−	1631.18i	−0.0432764	−	0.164263i
$463$	5289.73	+	2117.69i	0.530960	+	0.212564i	0.621622	−	0.783317i	$-0.286474\pi$
$463$	5289.73	+	2117.69i	0.530960	+	0.212564i	−0.0906619	+	0.995882i	$0.528898\pi$
$464$	−177.557	+	1859.46i	−0.0177648	+	0.186041i
$465$	−7006.82	+	12705.0i	−0.698781	+	1.26706i
$466$	15880.1	−	1516.36i	1.57861	−	0.150739i
$467$	5936.99	−	6851.65i	0.588289	−	0.678922i	−0.381076	−	0.924544i	$-0.624447\pi$
$467$	5936.99	−	6851.65i	0.588289	−	0.678922i	0.969366	+	0.245621i	$0.0789920\pi$
$468$	2508.63	+	4967.98i	0.247781	+	0.490694i
$469$	−6925.18	+	2033.42i	−0.681824	+	0.200202i
$470$	4132.65	−	11940.5i	0.405585	−	1.17186i
$471$	151.514	+	126.173i	0.0148225	+	0.0123434i
$472$	223.346	+	4688.60i	0.0217803	+	0.457225i
$473$	−249.456	−	1294.30i	−0.0242495	−	0.125818i
$474$	−17505.3	+	11741.1i	−1.69630	+	1.13774i
$475$	−1411.87	−	3526.68i	−0.136381	−	0.340663i
$476$	6507.94	+	5639.17i	0.626662	+	0.543006i
$477$	1107.40	+	393.710i	0.106299	+	0.0377919i
$478$	9977.79	+	2929.74i	0.954756	+	0.280342i
$479$	−6887.74	+	9672.47i	−0.657012	+	0.922644i	−0.999860	−	0.0167466i	$-0.994669\pi$
$479$	−6887.74	+	9672.47i	−0.657012	+	0.922644i	0.342848	+	0.939391i	$0.388609\pi$
$480$	−1484.91	+	19605.6i	−0.141202	+	1.86431i
$481$	−1573.67	−	3052.48i	−0.149175	−	0.289358i
$482$	8175.53	−	14160.4i	0.772583	−	1.33815i
$483$	−1368.88	−	9551.13i	−0.128957	−	0.899775i
$484$	−4132.61	−	7157.89i	−0.388112	−	0.672229i
$485$	−2138.77	+	3327.99i	−0.200240	+	0.311580i
$486$	−1403.52	−	14272.2i	−0.130998	−	1.33210i
$487$	−3551.60	−	7776.92i	−0.330469	−	0.723626i	0.669344	−	0.742952i	$-0.266575\pi$
$487$	−3551.60	−	7776.92i	−0.330469	−	0.723626i	−0.999813	+	0.0193263i	$0.993848\pi$
$488$	−592.418	−	2441.98i	−0.0549539	−	0.226523i
$489$	1514.63	−	641.098i	0.140070	−	0.0592873i
$490$	3481.35	−	1204.91i	0.320962	−	0.111086i
$491$	−6492.51	+	8255.90i	−0.596747	+	0.758826i	−0.986796	−	0.161968i	$-0.948216\pi$
$491$	−6492.51	+	8255.90i	−0.596747	+	0.758826i	0.390049	+	0.920794i	$0.372458\pi$
$492$	11536.2	−	776.458i	1.05710	−	0.0711492i
$493$	1912.28	+	661.846i	0.174695	+	0.0604626i
$494$	2782.59	−	1788.26i	0.253430	−	0.162870i
$495$	−1373.02	−	1776.41i	−0.124672	−	0.161300i
$496$	−8350.79	−	9637.33i	−0.755971	−	0.872437i
$497$	13684.9	+	13048.5i	1.23511	+	1.17768i
$498$	26760.8	−	4384.69i	2.40799	−	0.394543i
$499$	3867.12	+	11173.3i	0.346926	+	1.00238i	0.974610	+	0.223909i	$0.0718818\pi$
$499$	3867.12	+	11173.3i	0.346926	+	1.00238i	−0.627684	+	0.778468i	$0.715997\pi$
$500$	990.507	+	1390.97i	0.0885937	+	0.124412i
$501$	−295.176	−	15054.3i	−0.0263223	−	1.34247i
$502$	10935.1	+	7786.81i	0.972222	+	0.692316i
$503$	2744.76	+	19090.2i	0.243305	+	1.69223i	0.635305	+	0.772261i	$0.280874\pi$
$503$	2744.76	+	19090.2i	0.243305	+	1.69223i	−0.392000	+	0.919965i	$0.628217\pi$
$504$	−2865.97	+	112.431i	−0.253295	+	0.00993670i
$505$		−	9723.95i		−	0.856852i
$506$	844.657	+	1952.21i	0.0742086	+	0.171514i
$507$	−1280.84	+	5771.24i	−0.112197	+	0.505542i
$508$	−670.456	+	345.644i	−0.0585565	+	0.0301880i
$509$	2680.24	−	6694.93i	0.233398	−	0.583001i	−0.764717	−	0.644366i	$-0.777121\pi$
$509$	2680.24	−	6694.93i	0.233398	−	0.583001i	0.998115	+	0.0613654i	$0.0195455\pi$
$510$	24674.3	+	8001.77i	2.14235	+	0.694754i
$511$	11623.5	−	2819.82i	1.00625	−	0.244113i
$512$	−12295.5	−	5615.16i	−1.06131	−	0.484682i
$513$	−3689.77	+	754.156i	−0.317558	+	0.0649060i
$514$	3433.33	−	23879.4i	0.294626	−	2.04917i
$515$	−2269.74	+	2380.44i	−0.194207	+	0.203679i
$516$	8512.71	+	238.376i	0.726262	+	0.0203371i
$517$	−1040.13	+	49.5477i	−0.0884817	+	0.00421490i
$518$	−6717.36	+	319.987i	−0.569776	+	0.0271418i
$519$	−7170.10	−	13263.0i	−0.606421	−	1.12174i
$520$	2313.75	−	2426.59i	0.195124	−	0.204640i
$521$	−2639.84	+	18360.5i	−0.221983	+	1.54393i	0.508539	+	0.861039i	$0.330186\pi$
$521$	−2639.84	+	18360.5i	−0.221983	+	1.54393i	−0.730522	+	0.682889i	$0.760723\pi$
$522$	2338.42	−	1044.30i	0.196072	−	0.0875626i
$523$	−8411.34	−	3841.33i	−0.703255	−	0.321166i	0.0314951	−	0.999504i	$-0.489973\pi$
$523$	−8411.34	−	3841.33i	−0.703255	−	0.321166i	−0.734750	+	0.678338i	$0.762700\pi$
$524$	−8548.70	+	2073.89i	−0.712694	+	0.172898i
$525$	−9194.66	+	8288.32i	−0.764358	+	0.689013i
$526$	8517.78	−	21276.4i	0.706070	−	1.76368i
$527$	−12279.0	+	6330.24i	−1.01495	+	0.523244i
$528$	1882.09	−	592.947i	0.155128	−	0.0488726i
$529$	3515.24	+	11648.1i	0.288916	+	0.957354i
$530$			2690.42i			0.220499i
$531$	16986.4	−	10716.2i	1.38822	−	0.875785i
$532$	−407.299	−	2832.82i	−0.0331929	−	0.230862i
$533$	−9314.91	−	6633.12i	−0.756986	−	0.539047i
$534$	10704.0	+	5903.23i	0.867426	+	0.478385i
$535$	−8956.74	−	12578.0i	−0.723801	−	1.01644i
$536$	−884.866	−	2556.65i	−0.0713067	−	0.206027i
$537$	4133.57	+	5049.32i	0.332173	+	0.405762i
$538$	−6849.80	−	6531.27i	−0.548915	−	0.523389i
$539$	−198.818	−	229.448i	−0.0158881	−	0.0183358i
$540$	13126.3	−	6173.40i	1.04605	−	0.491964i
$541$	−8461.00	+	5437.55i	−0.672397	+	0.432123i	−0.831789	−	0.555092i	$-0.812683\pi$
$541$	−8461.00	+	5437.55i	−0.672397	+	0.432123i	0.159392	+	0.987215i	$0.449047\pi$
$542$	14886.0	+	5152.08i	1.17972	+	0.408304i
$543$	2754.04	−	5609.43i	0.217656	−	0.443322i
$544$	−11572.4	+	14715.5i	−0.912063	+	1.15978i
$545$	−12564.4	+	4348.58i	−0.987523	+	0.341785i
$546$	−8601.49	−	6495.48i	−0.674194	−	0.509122i
$547$	−1302.02	−	5367.00i	−0.101774	−	0.419518i	0.898017	−	0.439960i	$-0.145008\pi$
$547$	−1302.02	−	5367.00i	−0.101774	−	0.419518i	−0.999791	+	0.0204428i	$0.993492\pi$
$548$	−553.854	−	1212.77i	−0.0431742	−	0.0945383i
$549$	−7843.36	+	7353.99i	−0.609739	+	0.571695i
$550$	1475.40	−	2295.77i	0.114384	−	0.177986i
$551$	−336.268	−	582.434i	−0.0259991	−	0.0450318i
$552$	3551.71	−	682.887i	0.273860	−	0.0526551i
$553$	9018.73	−	15620.9i	0.693518	−	1.20121i
$554$	−10258.4	−	19898.6i	−0.786713	−	1.52601i
$555$	−8067.55	+	3877.23i	−0.617025	+	0.296539i
$556$	−6809.31	+	9562.34i	−0.519387	+	0.729377i
$557$	−3072.76	−	902.242i	−0.233747	−	0.0686342i	0.162761	−	0.986665i	$-0.447960\pi$
$557$	−3072.76	−	902.242i	−0.233747	−	0.0686342i	−0.396508	+	0.918031i	$0.629778\pi$
$558$	−5856.76	+	16473.5i	−0.444331	+	1.24978i
$559$	−6365.29	−	5515.55i	−0.481615	−	0.417322i
$560$	−7615.34	−	19022.2i	−0.574655	−	1.43542i
$561$	−143.557	−	2132.89i	−0.0108039	−	0.160518i
$562$	−4391.58	−	22785.7i	−0.329622	−	1.71024i
$563$	1044.37	+	21924.0i	0.0781793	+	1.64119i	0.608619	+	0.793463i	$0.291724\pi$
$563$	1044.37	+	21924.0i	0.0781793	+	1.64119i	−0.530440	+	0.847723i	$0.677973\pi$
$564$	1143.47	−	6629.78i	0.0853703	−	0.494972i
$565$	9381.08	−	27104.9i	0.698522	−	2.01825i
$566$	−30288.8	+	8893.61i	−2.24936	+	0.660470i
$567$	6460.70	+	10433.9i	0.478526	+	0.772812i
$568$	−4641.52	+	5356.60i	−0.342877	+	0.395701i
$569$	4402.58	−	420.395i	0.324369	−	0.0309734i	0.0683983	−	0.997658i	$-0.478211\pi$
$569$	4402.58	−	420.395i	0.324369	−	0.0309734i	0.255970	+	0.966685i	$0.417605\pi$
$570$	−4456.02	−	7380.05i	−0.327442	−	0.542309i
$571$	928.618	−	9724.93i	0.0680586	−	0.712742i	−0.895467	−	0.445127i	$-0.853158\pi$
$571$	928.618	−	9724.93i	0.0680586	−	0.712742i	0.963526	−	0.267615i	$-0.0862355\pi$
$572$	974.720	+	390.219i	0.0712502	+	0.0285243i
$573$	11326.6	−	11232.0i	0.825786	−	0.818886i
$574$	−19392.6	+	11196.3i	−1.41016	+	0.814157i
$575$	9893.41	−	12074.2i	0.717537	−	0.875700i
$576$	657.937	+	7560.04i	0.0475939	+	0.546878i
$577$	5322.62	+	3420.64i	0.384027	+	0.246799i	0.718383	−	0.695648i	$-0.244882\pi$
$577$	5322.62	+	3420.64i	0.384027	+	0.246799i	−0.334356	+	0.942447i	$0.608519\pi$
$578$	3769.31	+	4793.07i	0.271251	+	0.344923i
$579$	10229.2	+	11347.8i	0.734217	+	0.814505i
$580$	1787.56	+	1874.74i	0.127973	+	0.134214i
$581$	−18902.8	+	13460.6i	−1.34977	+	0.961170i
$582$	−1894.91	+	4374.23i	−0.134959	+	0.311542i
$583$	205.841	−	82.4063i	0.0146228	−	0.00585407i
$584$	1263.11	+	4301.75i	0.0894997	+	0.304808i
$585$	−13912.9	−	3499.08i	−0.983293	−	0.247298i
$586$	3643.61	+	5669.56i	0.256853	+	0.399671i
$587$	9455.39	−	18340.9i	0.664848	−	1.28963i	−0.279332	−	0.960195i	$-0.590113\pi$
$587$	9455.39	−	18340.9i	0.664848	−	1.28963i	0.944180	−	0.329431i	$-0.106857\pi$
$588$	1725.50	−	932.818i	0.121018	−	0.0654230i
$589$	4461.89	+	1082.44i	0.312138	+	0.0757238i
$590$	36138.9	+	28419.9i	2.52172	+	1.98310i
$591$	−1739.24	−	15083.0i	−0.121054	−	1.04980i
$592$	−747.799	−	7831.31i	−0.0519161	−	0.543690i
$593$	144.102	−	490.767i	0.00997904	−	0.0339855i	−0.954353	−	0.298681i	$-0.903453\pi$
$593$	144.102	−	490.767i	0.00997904	−	0.0339855i	0.964332	+	0.264696i	$0.0852715\pi$
$594$	−1978.85	−	1844.91i	−0.136689	−	0.127437i
$595$	−21971.4	+	3159.02i	−1.51385	+	0.217659i
$596$	726.594	−	15253.1i	0.0499370	−	1.04831i
$597$	−12145.1	+	13248.0i	−0.832607	+	0.908215i
$598$	11953.5	+	6469.05i	0.817414	+	0.442373i
$599$	6353.95	+	3668.46i	0.433415	+	0.250232i	0.700800	−	0.713358i	$-0.252826\pi$
$599$	6353.95	+	3668.46i	0.433415	+	0.250232i	−0.267386	+	0.963590i	$0.586160\pi$
$600$	−3267.30	−	3294.82i	−0.222311	−	0.224184i
$601$	−16627.4	+	13075.9i	−1.12853	+	0.887484i	−0.994628	−	0.103511i	$-0.966992\pi$
$601$	−16627.4	+	13075.9i	−1.12853	+	0.887484i	−0.133900	+	0.990995i	$0.542750\pi$
$602$	−15002.5	+	6851.43i	−1.01571	+	0.463859i
$603$	−7653.78	+	8684.62i	−0.516892	+	0.586509i
$604$	−5634.15	+	12337.1i	−0.379553	+	0.831106i
$605$	20920.4	+	4032.08i	1.40584	+	0.270954i
$606$	−1894.62	−	11563.3i	−0.127003	−	0.775128i
$607$	107.463	−	442.969i	0.00718582	−	0.0296204i	−0.968106	−	0.250542i	$-0.919391\pi$
$607$	107.463	−	442.969i	0.00718582	−	0.0296204i	0.975292	+	0.220921i	$0.0709064\pi$
$608$	6109.42	−	1177.49i	0.407516	−	0.0785422i
$609$	−1402.42	+	1684.09i	−0.0933152	+	0.112057i
$610$	−21876.1	−	11277.9i	−1.45203	−	0.748572i
$611$	−5028.57	+	4357.28i	−0.332953	+	0.288505i
$612$	13653.7	+	2080.18i	0.901828	+	0.137396i
$613$	−17992.6	−	2586.95i	−1.18551	−	0.170450i	−0.478779	−	0.877935i	$-0.658921\pi$
$613$	−17992.6	−	2586.95i	−1.18551	−	0.170450i	−0.706728	+	0.707485i	$0.749830\pi$
$614$	−5375.92	+	27892.9i	−0.353346	+	1.83333i
$615$	−17961.1	+	23784.5i	−1.17766	+	1.55949i
$616$	−391.603	+	373.393i	−0.0256139	+	0.0244228i
$617$	2992.46	+	285.746i	0.195255	+	0.0186445i	0.192225	−	0.981351i	$-0.438430\pi$
$617$	2992.46	+	285.746i	0.195255	+	0.0186445i	0.00302945	+	0.999995i	$0.499036\pi$
$618$	−2235.28	+	3272.96i	−0.145495	+	0.213038i
$619$	−15420.3	−	734.558i	−1.00128	−	0.0476969i	−0.459466	−	0.888195i	$-0.651959\pi$
$619$	−15420.3	−	734.558i	−1.00128	−	0.0476969i	−0.541814	+	0.840498i	$0.682262\pi$
$620$	−17684.1			−1.14550
$621$	−10030.4	−	11784.5i	−0.648156	−	0.761508i
$622$	−24838.8			−1.60120
$623$	−10448.6	−	497.728i	−0.671933	−	0.0320081i
$624$	7111.07	−	10412.2i	0.456203	−	0.667985i
$625$	13227.6	+	1263.08i	0.846565	+	0.0808372i
$626$	8190.39	−	7809.52i	0.522930	−	0.498612i
$627$	−428.153	+	566.971i	−0.0272708	+	0.0361127i
$628$	−45.4804	+	235.975i	−0.00288991	+	0.0149943i
$629$	−8435.75	−	1212.88i	−0.534746	−	0.0768849i
$630$	−17550.4	+	21935.9i	−1.10988	+	1.38722i
$631$	10435.9	−	9042.79i	0.658396	−	0.570504i	−0.260271	−	0.965536i	$-0.583812\pi$
$631$	10435.9	−	9042.79i	0.658396	−	0.570504i	0.918667	+	0.395032i	$0.129266\pi$
$632$	6009.61	+	3098.17i	0.378243	+	0.194998i
$633$	17955.4	−	21561.6i	1.12743	−	1.35387i
$634$	23406.4	−	4511.21i	1.46622	−	0.282591i
$635$	458.409	−	1889.59i	0.0286479	−	0.118088i
$636$	231.623	+	1413.65i	0.0144410	+	0.0881366i
$637$	−1904.89	−	367.138i	−0.118484	−	0.0228360i
$638$	200.703	−	439.478i	0.0124544	−	0.0272713i
$639$	29729.7	+	5989.06i	1.84052	+	0.370773i
$640$	11734.2	−	5358.83i	0.724742	−	0.330979i
$641$	21673.9	−	17044.6i	1.33552	−	1.05027i	0.341638	−	0.939831i	$-0.389018\pi$
$641$	21673.9	−	17044.6i	1.33552	−	1.05027i	0.993883	−	0.110434i	$-0.0352242\pi$
$642$	−13101.7	−	13212.1i	−0.805424	−	0.812210i
$643$	−12116.2	−	6995.28i	−0.743104	−	0.429031i	0.0800929	−	0.996787i	$-0.474478\pi$
$643$	−12116.2	−	6995.28i	−0.743104	−	0.429031i	−0.823197	+	0.567756i	$0.807812\pi$
$644$	9388.03	−	7082.84i	0.574441	−	0.433390i
$645$	−14834.2	+	16181.3i	−0.905578	+	0.987812i
$646$	390.570	−	8199.07i	0.0237876	−	0.499362i
$647$	18780.0	−	2700.16i	1.14114	−	0.164071i	0.454279	−	0.890860i	$-0.349897\pi$
$647$	18780.0	−	2700.16i	1.14114	−	0.164071i	0.686862	+	0.726788i	$0.258988\pi$
$648$	−3791.43	+	2605.11i	−0.229848	+	0.157929i
$649$	1067.46	−	3635.43i	0.0645631	−	0.219882i
$650$	−1657.55	−	17358.6i	−0.100022	−	1.04748i
$651$	−1713.88	−	14863.0i	−0.103183	−	0.894817i
$652$	1575.76	+	1239.19i	0.0946494	+	0.0744331i
$653$	−1207.52	−	292.941i	−0.0723643	−	0.0175554i	0.199413	−	0.979915i	$-0.436096\pi$
$653$	−1207.52	−	292.941i	−0.0723643	−	0.0175554i	−0.271778	+	0.962360i	$0.587612\pi$
$654$	−14093.8	+	7619.22i	−0.842678	+	0.455558i
$655$	10390.4	−	20154.6i	0.619829	−	1.20230i
$656$	−14162.1	−	22036.7i	−0.842894	−	1.31157i
$657$	13353.9	−	13772.0i	0.792979	−	0.817803i
$658$	3670.81	+	12501.6i	0.217482	+	0.740676i
$659$	−10866.6	+	4350.33i	−0.642340	+	0.257154i	−0.669883	−	0.742466i	$-0.733656\pi$
$659$	−10866.6	+	4350.33i	−0.642340	+	0.257154i	0.0275430	+	0.999621i	$0.491232\pi$
$660$	1087.76	−	2511.01i	0.0641532	−	0.148092i
$661$	14738.4	−	10495.2i	0.867258	−	0.617571i	−0.0574082	−	0.998351i	$-0.518284\pi$
$661$	14738.4	−	10495.2i	0.867258	−	0.617571i	0.924666	+	0.380779i	$0.124344\pi$
$662$	7609.65	+	7980.77i	0.446764	+	0.468552i
$663$	−9145.73	−	10145.8i	−0.535733	−	0.594316i
$664$	−5377.05	−	6837.47i	−0.314262	−	0.399617i
$665$	6206.19	+	3988.48i	0.361904	+	0.232581i
$666$	−8838.16	+	6182.53i	−0.514222	+	0.359712i
$667$	1429.48	−	2365.11i	0.0829832	−	0.137298i
$668$	15893.5	−	9176.12i	0.920566	−	0.531489i
$669$	1112.55	−	1103.25i	0.0642953	−	0.0637581i
$670$	−24600.7	−	9848.63i	−1.41852	−	0.567889i
$671$	−192.805	+	2019.15i	−0.0110926	+	0.116167i
$672$	−10479.7	−	17356.4i	−0.601581	−	0.996336i
$673$	8753.58	−	835.866i	0.501376	−	0.0478756i	0.158695	−	0.987328i	$-0.449271\pi$
$673$	8753.58	−	835.866i	0.501376	−	0.0478756i	0.342680	+	0.939452i	$0.388665\pi$
$674$	1025.42	−	1183.40i	0.0586022	−	0.0676305i
$675$	−5379.57	+	19111.4i	−0.306755	+	1.08978i
$676$	−6913.46	+	2029.97i	−0.393347	+	0.115497i
$677$	−6481.98	+	18728.5i	−0.367981	+	1.06321i	0.597305	+	0.802014i	$0.296238\pi$
$677$	−6481.98	+	18728.5i	−0.367981	+	1.06321i	−0.965286	+	0.261196i	$0.915883\pi$
$678$	5874.46	−	34059.8i	0.332754	−	1.92929i
$679$	−194.103	−	4074.72i	−0.0109705	−	0.230299i
$680$	−1574.67	−	8170.18i	−0.0888029	−	0.460753i
$681$	−1587.46	−	23585.7i	−0.0893271	−	1.32718i
$682$	1225.86	+	3062.06i	0.0688280	+	0.171924i
$683$	−5445.46	−	4718.52i	−0.305073	−	0.264347i	0.488847	−	0.872369i	$-0.337418\pi$
$683$	−5445.46	−	4718.52i	−0.305073	−	0.264347i	−0.793920	+	0.608022i	$0.791963\pi$
$684$	−2976.72	−	3494.13i	−0.166400	−	0.195324i
$685$	3297.54	+	968.246i	0.183931	+	0.0540070i
$686$	−14883.9	+	20901.6i	−0.828384	+	1.16330i
$687$	2233.26	−	1073.30i	0.124024	−	0.0596053i
$688$	−8840.84	−	17148.8i	−0.489904	−	0.950281i
$689$	708.381	−	1226.95i	0.0391686	−	0.0678420i
$690$	17726.1	−	30670.8i	0.978003	−	1.69220i
$691$	1414.67	+	2450.28i	0.0778821	+	0.134896i	0.902336	−	0.431033i	$-0.141851\pi$
$691$	1414.67	+	2450.28i	0.0778821	+	0.134896i	−0.824454	+	0.565929i	$0.808518\pi$
$692$	9935.05	−	15459.2i	0.545771	−	0.849237i
$693$	2215.85	+	670.876i	0.121462	+	0.0367741i
$694$	−8019.13	−	17559.4i	−0.438620	−	0.960443i
$695$	−7134.06	−	29407.0i	−0.389367	−	1.60499i
$696$	−655.567	−	495.056i	−0.0357029	−	0.0269613i
$697$	−26817.2	+	9281.53i	−1.45735	+	0.504394i
$698$	−11984.3	+	15239.2i	−0.649872	+	0.826380i
$699$	−9649.18	+	19653.5i	−0.522125	+	1.06347i
$700$	−14258.0	−	4934.75i	−0.769860	−	0.266451i
$701$	18640.1	−	11979.2i	1.00432	−	0.645434i	0.0683996	−	0.997658i	$-0.478211\pi$
$701$	18640.1	−	11979.2i	1.00432	−	0.645434i	0.935916	+	0.352224i	$0.114574\pi$
$702$	−17226.4	−	1450.17i	−0.926164	−	0.0779675i
$703$	1854.87	+	2140.63i	0.0995129	+	0.114844i
$704$	1036.10	+	987.921i	0.0554681	+	0.0528888i
$705$	10985.3	+	13419.0i	0.586852	+	0.716863i
$706$	13410.4	+	38746.8i	0.714882	+	2.06552i
$707$	5816.32	+	8167.87i	0.309399	+	0.434490i
$708$	21435.5	+	11821.7i	1.13784	+	0.627521i
$709$	−1573.77	−	1120.67i	−0.0833626	−	0.0593622i	0.537616	−	0.843190i	$-0.319325\pi$
$709$	−1573.77	−	1120.67i	−0.0833626	−	0.0593622i	−0.620978	+	0.783828i	$0.713265\pi$
$710$	9879.82	+	68715.6i	0.522230	+	3.63219i
$711$	−1134.03	−	28907.4i	−0.0598164	−	1.52477i
$712$		−	3921.03i		−	0.206386i
$713$	4951.23	+	18205.1i	0.260063	+	0.956220i
$714$	−25512.0	+	8037.50i	−1.33720	+	0.421283i
$715$	−2405.56	+	1240.15i	−0.125822	+	0.0648659i
$716$	−2956.01	+	7383.76i	−0.154290	+	0.385397i
$717$	−10601.2	+	9556.21i	−0.552174	+	0.497745i
$718$	48409.7	−	11744.1i	2.51621	−	0.610425i
$719$	14683.4	+	6705.67i	0.761610	+	0.347816i	0.758066	−	0.652178i	$-0.226145\pi$
$719$	14683.4	+	6705.67i	0.761610	+	0.347816i	0.00354419	+	0.999994i	$0.498872\pi$
$720$	−26608.6	−	19286.4i	−1.37728	−	0.998278i
$721$	482.684	−	3357.14i	0.0249321	−	0.173407i
$722$	16037.2	−	16819.3i	0.826650	−	0.866966i
$723$	10672.4	+	19741.5i	0.548979	+	1.01549i
$724$	7607.89	−	362.409i	0.390532	−	0.0186033i
$725$	−3541.50	+	168.703i	−0.181418	+	0.00864201i
$726$	25663.3	+	718.634i	1.31192	+	0.0367369i
$727$	8171.93	−	8570.47i	0.416891	−	0.437223i	−0.481482	−	0.876456i	$-0.659901\pi$
$727$	8171.93	−	8570.47i	0.416891	−	0.437223i	0.898373	+	0.439233i	$0.144750\pi$
$728$	−492.042	+	3422.23i	−0.0250498	+	0.174225i
$729$	17692.8	+	8624.64i	0.898889	+	0.438177i
$730$	39944.5	+	18242.0i	2.02522	+	0.924888i
$731$	−20312.2	+	4927.68i	−1.02773	+	0.249325i
$732$	−12465.4	−	4042.49i	−0.629421	−	0.204118i
$733$	5454.14	−	13623.8i	0.274834	−	0.686502i	−0.725164	−	0.688576i	$-0.758236\pi$
$733$	5454.14	−	13623.8i	0.274834	−	0.686502i	0.999998	+	0.00207425i	$0.000660255\pi$
$734$	−28647.5	+	14768.8i	−1.44060	+	0.742680i
$735$	−1095.49	+	4936.10i	−0.0549766	+	0.247715i
$736$	16351.7	+	19653.7i	0.818928	+	0.984299i
$737$			2183.83i			0.109148i
$738$	−16724.4	+	31783.1i	−0.834190	+	1.58530i
$739$	925.510	+	6437.06i	0.0460696	+	0.320421i	0.999805	+	0.0197722i	$0.00629410\pi$
$739$	925.510	+	6437.06i	0.0460696	+	0.320421i	−0.953735	+	0.300649i	$0.902797\pi$
$740$	−8886.72	−	6328.20i	−0.441463	−	0.314364i
$741$	88.9954	+	4538.88i	0.00441205	+	0.225020i
$742$	−1609.26	−	2259.89i	−0.0796197	−	0.111810i
$743$	−5269.43	−	15225.0i	−0.260184	−	0.751752i	−0.997124	−	0.0757935i	$-0.975851\pi$
$743$	−5269.43	−	15225.0i	−0.260184	−	0.751752i	0.736940	−	0.675959i	$-0.236270\pi$
$744$	5534.41	−	906.800i	0.272717	−	0.0446840i
$745$	28488.2	+	27163.4i	1.40098	+	1.33583i
$746$	10693.6	+	12341.1i	0.524826	+	0.605681i
$747$	−14122.2	+	34435.4i	−0.691706	+	1.68665i
$748$	2191.90	−	1408.65i	0.107144	−	0.0688574i
$749$	15046.9	+	5207.77i	0.734046	+	0.254056i
$750$	−5292.17	+	356.195i	−0.257657	+	0.0173419i
$751$	122.937	−	156.327i	0.00597342	−	0.00759583i	−0.783057	−	0.621950i	$-0.786341\pi$
$751$	122.937	−	156.327i	0.00597342	−	0.00759583i	0.789031	+	0.614354i	$0.210583\pi$
$752$	−14403.6	+	4985.14i	−0.698465	+	0.241741i
$753$	−16967.3	+	7181.75i	−0.821147	+	0.347566i
$754$	−727.821	−	3000.12i	−0.0351534	−	0.144904i
$755$	−14523.3	−	31801.5i	−0.700073	−	1.53295i
$756$	−7333.16	+	13036.9i	−0.352784	+	0.627179i
$757$	796.355	−	1239.15i	0.0382352	−	0.0594951i	−0.821610	−	0.570050i	$-0.806924\pi$
$757$	796.355	−	1239.15i	0.0382352	−	0.0594951i	0.859845	+	0.510555i	$0.170560\pi$
$758$	−4533.22	−	7851.77i	−0.217222	−	0.376239i
$759$	−2889.53	−	416.772i	−0.138186	−	0.0199313i
$760$	−1382.67	+	2394.85i	−0.0659930	+	0.114303i
$761$	18749.8	+	36369.6i	0.893141	+	1.73245i	0.645771	+	0.763531i	$0.276536\pi$
$761$	18749.8	+	36369.6i	0.893141	+	1.73245i	0.247370	+	0.968921i	$0.420434\pi$
$762$	176.952	−	2336.34i	0.00841248	−	0.111072i
$763$	7952.71	−	11168.0i	0.377336	−	0.529895i
$764$	18654.6	+	5477.48i	0.883376	+	0.259383i
$765$	−27100.5	+	23087.5i	−1.28081	+	1.09115i
$766$	36763.8	+	31856.1i	1.73411	+	1.50262i
$767$	−8998.03	−	22476.0i	−0.423599	−	1.05810i
$768$	22612.7	−	15166.8i	1.06246	−	0.712611i
$769$	1567.43	+	8132.60i	0.0735019	+	0.381364i	0.999987	+	0.00503356i	$0.00160224\pi$
$769$	1567.43	+	8132.60i	0.0735019	+	0.381364i	−0.926485	+	0.376331i	$0.877186\pi$
$770$	252.172	+	5293.74i	0.0118021	+	0.247757i
$771$	25444.1	+	21188.5i	1.18852	+	0.989736i
$772$	−6090.33	+	17596.9i	−0.283932	+	0.820369i
$773$	2352.06	−	690.626i	0.109441	−	0.0321347i	−0.226554	−	0.973999i	$-0.572746\pi$
$773$	2352.06	−	690.626i	0.109441	−	0.0321347i	0.335994	+	0.941864i	$0.390928\pi$
$774$	−14487.5	+	22132.5i	−0.672794	+	1.02782i
$775$	15850.8	−	18292.8i	0.734679	−	0.847865i
$776$	1522.19	−	145.351i	0.0704167	−	0.00672398i
$777$	4457.40	−	8082.33i	0.205802	−	0.373169i
$778$	1083.35	−	11345.4i	0.0499229	−	0.522817i
$779$	8755.85	+	3505.31i	0.402710	+	0.161221i
$780$	−4454.69	−	16908.5i	−0.204492	−	0.776184i
$781$	4954.74	−	2860.62i	0.227009	−	0.131064i
$782$	30283.7	−	14851.4i	1.38484	−	0.679139i
$783$	−461.183	+	3484.58i	−0.0210490	+	0.159040i
$784$	−3738.44	−	2402.55i	−0.170301	−	0.109446i
$785$	−382.932	−	486.938i	−0.0174107	−	0.0221395i
$786$	8428.94	−	25991.6i	0.382507	−	1.17950i
$787$	−667.651	−	700.212i	−0.0302404	−	0.0317152i	0.708440	−	0.705771i	$-0.249399\pi$
$787$	−667.651	−	700.212i	−0.0302404	−	0.0317152i	−0.738680	+	0.674056i	$0.764551\pi$
$788$	15074.1	−	10734.2i	0.681461	−	0.485266i
$789$	18744.4	+	25259.8i	0.845777	+	1.13976i
$790$	61479.9	−	24612.8i	2.76880	−	1.10846i
$791$	8332.72	+	28378.6i	0.374560	+	1.27564i
$792$	−211.667	+	841.621i	−0.00949656	+	0.0377597i
$793$	7007.01	+	10903.1i	0.313778	+	0.488248i
$794$	−21896.9	+	42474.0i	−0.978703	+	1.89842i
$795$	−3144.94	−	1935.08i	−0.140301	−	0.0863274i
$796$	−21288.0	−	5164.43i	−0.947908	−	0.229960i
$797$	−27626.8	−	21725.9i	−1.22784	−	0.965587i	−0.227876	−	0.973690i	$-0.573178\pi$
$797$	−27626.8	−	21725.9i	−1.22784	−	0.965587i	−0.999967	+	0.00810338i	$0.997421\pi$
$798$	8157.27	+	3533.72i	0.361860	+	0.156757i
$799$	1569.57	+	16437.3i	0.0694961	+	0.727796i
$800$	9241.04	−	31472.1i	0.408400	−	1.39088i
$801$	−14599.3	+	8266.37i	−0.643996	+	0.364642i
$802$	−11342.7	+	1630.83i	−0.499407	+	0.0718039i
$803$	172.196	−	3614.85i	0.00756747	−	0.158861i
$804$	−13774.0	−	3056.93i	−0.604194	−	0.134091i
$805$	−2049.28	+	30245.1i	−0.0897236	+	1.32422i
$806$	18251.9	+	10537.7i	0.797638	+	0.460516i
$807$	12561.4	−	3309.39i	0.547932	−	0.144357i
$808$	−2954.47	+	2323.42i	−0.128636	+	0.101160i
$809$	4039.20	−	1844.64i	0.175539	−	0.0801658i	−0.325707	−	0.945471i	$-0.605602\pi$
$809$	4039.20	−	1844.64i	0.175539	−	0.0801658i	0.501246	+	0.865305i	$0.332875\pi$
$810$	−5034.94	+	44774.7i	−0.218407	+	1.94225i
$811$	−13100.9	+	28686.9i	−0.567242	+	1.24209i	0.381011	+	0.924571i	$0.375576\pi$
$811$	−13100.9	+	28686.9i	−0.567242	+	1.24209i	−0.948253	+	0.317516i	$0.897151\pi$
$812$	−2622.87	−	505.517i	−0.113356	−	0.0218475i
$813$	−16729.2	+	13695.1i	−0.721669	+	0.590786i
$814$	−479.720	+	1977.43i	−0.0206562	+	0.0851461i
$815$	−5074.03	+	977.939i	−0.218080	+	0.0420316i
$816$	−10811.7	−	29363.0i	−0.463831	−	1.25969i
$817$	6174.37	+	3183.11i	0.264399	+	0.136307i
$818$	41818.3	−	36235.8i	1.78746	−	1.54884i
$819$	13779.4	−	5382.75i	0.587902	−	0.229656i
$820$	−35956.8	−	5169.81i	−1.53130	−	0.220168i
$821$	5704.45	−	29597.5i	0.242493	−	1.25817i	−0.632699	−	0.774398i	$-0.718053\pi$
$821$	5704.45	−	29597.5i	0.242493	−	1.25817i	0.875192	−	0.483776i	$-0.160735\pi$
$822$	4109.96	+	508.903i	0.174393	+	0.0215937i
$823$	17232.8	−	16431.5i	0.729888	−	0.695947i	−0.230978	−	0.972959i	$-0.574193\pi$
$823$	17232.8	−	16431.5i	0.729888	−	0.695947i	0.960866	+	0.277012i	$0.0893442\pi$
$824$	1265.58	+	120.849i	0.0535057	+	0.00510918i
$825$	1622.43	+	3375.88i	0.0684678	+	0.142464i
$826$	−47355.0	−	2255.80i	−1.99478	−	0.0950232i
$827$	30125.0			1.26669			0.633343	−	0.773871i	$-0.281682\pi$
$827$	30125.0			1.26669			0.633343	+	0.773871i	$0.281682\pi$
$828$	6673.47	−	17641.7i	0.280096	−	0.740448i
$829$	−1049.60			−0.0439738			−0.0219869	−	0.999758i	$-0.506999\pi$
$829$	−1049.60			−0.0439738			−0.0219869	+	0.999758i	$0.506999\pi$
$830$	−85101.9	−	4053.90i	−3.55895	−	0.169534i
$831$	30638.6	+	2320.54i	1.27899	+	0.0968697i
$832$	9106.20	+	869.537i	0.379448	+	0.0362329i
$833$	−3484.21	+	3322.19i	−0.144923	+	0.138184i
$834$	−14213.2	−	33579.6i	−0.590124	−	1.39420i
$835$	−8952.90	+	46452.0i	−0.371051	+	1.92520i
$836$	−857.133	−	123.237i	−0.0354600	−	0.00509838i
$837$	−15044.0	−	18694.7i	−0.621264	−	0.772024i
$838$	−25868.6	+	22415.3i	−1.06637	+	0.924012i
$839$	7707.44	+	3973.46i	0.317152	+	0.163503i	0.609451	−	0.792824i	$-0.291390\pi$
$839$	7707.44	+	3973.46i	0.317152	+	0.163503i	−0.292299	+	0.956327i	$0.594420\pi$
$840$	8880.15	+	1531.60i	0.364755	+	0.0629112i
$841$	23331.9	−	4496.86i	0.956657	−	0.184381i
$842$	11409.5	−	47030.6i	0.466980	−	1.92492i
$843$	29793.7	+	11255.1i	1.21726	+	0.459840i
$844$	33581.1	+	6472.22i	1.36956	+	0.263961i
$845$	7715.63	−	16894.9i	0.314113	−	0.687812i
$846$	15677.8	+	13816.9i	0.637134	+	0.561508i
$847$	−19984.4	+	9126.56i	−0.810710	+	0.370239i
$848$	2551.07	−	2006.18i	0.103307	−	0.0812412i
$849$	11389.1	−	41802.5i	0.460393	−	1.68982i
$850$	−37475.9	−	21636.7i	−1.51225	−	0.873097i
$851$	−4026.51	+	10920.3i	−0.162194	+	0.439886i
$852$	11107.1	+	35255.2i	0.446622	+	1.41763i
$853$	−2151.91	+	45174.1i	−0.0863775	+	1.81329i	0.376018	+	0.926612i	$0.377293\pi$
$853$	−2151.91	+	45174.1i	−0.0863775	+	1.81329i	−0.462395	+	0.886674i	$0.653010\pi$
$854$	25121.1	−	3611.88i	1.00659	−	0.144726i
$855$	11831.8	+	99.2737i	0.473262	+	0.00397087i
$856$	−1681.52	+	5726.72i	−0.0671414	+	0.228663i
$857$	−70.2746	−	735.949i	−0.00280109	−	0.0293343i	0.993963	−	0.109713i	$-0.0349931\pi$
$857$	−70.2746	−	735.949i	−0.00280109	−	0.0293343i	−0.996764	+	0.0803786i	$0.974387\pi$
$858$	−2618.97	+	1943.44i	−0.104207	+	0.0773287i
$859$	9450.16	+	7431.68i	0.375361	+	0.295187i	0.787961	−	0.615725i	$-0.211137\pi$
$859$	9450.16	+	7431.68i	0.375361	+	0.295187i	−0.412600	+	0.910912i	$0.635379\pi$
$860$	−26001.6	−	6307.92i	−1.03098	−	0.250114i
$861$	860.281	−	30721.7i	0.0340514	−	1.21602i
$862$	−13719.5	+	26612.1i	−0.542096	+	1.05152i
$863$	5435.77	+	8458.22i	0.214410	+	0.333628i	0.931754	−	0.363091i	$-0.118279\pi$
$863$	5435.77	+	8458.22i	0.214410	+	0.333628i	−0.717344	+	0.696719i	$0.754642\pi$
$864$	−29068.5	−	14575.6i	−1.14459	−	0.573925i
$865$	13345.5	+	45450.5i	0.524578	+	1.78655i
$866$	4017.56	−	1608.39i	0.157647	−	0.0631123i
$867$	−8313.88	+	958.687i	−0.325668	+	0.0375533i
$868$	14854.2	−	10577.6i	0.580858	−	0.413627i
$869$	−3766.19	−	3949.87i	−0.147019	−	0.154189i
$870$	−7869.42	+	1677.34i	−0.306665	+	0.0653647i
$871$	8625.87	+	10968.7i	0.335564	+	0.426705i
$872$	4323.36	+	2778.46i	0.167898	+	0.107902i
$873$	−3750.29	−	5361.18i	−0.145393	−	0.207845i
$874$	−10838.8	−	2860.76i	−0.419483	−	0.110717i
$875$	3930.87	−	2269.49i	0.151871	−	0.0876830i
$876$	22558.8	+	6146.17i	0.870082	+	0.237054i
$877$	21005.0	+	8409.14i	0.808768	+	0.323782i	0.738935	−	0.673777i	$-0.235329\pi$
$877$	21005.0	+	8409.14i	0.808768	+	0.323782i	0.0698330	+	0.997559i	$0.477753\pi$
$878$	3057.33	−	32017.8i	0.117517	−	1.23069i
$879$	−9248.02	+	181.329i	−0.354867	+	0.00695800i
$880$	−6171.60	+	589.316i	−0.236414	+	0.0225748i
$881$	−26973.5	+	31129.1i	−1.03151	+	1.19043i	−0.0500528	+	0.998747i	$0.515939\pi$
$881$	−26973.5	+	31129.1i	−1.03151	+	1.19043i	−0.981458	+	0.191680i	$0.938606\pi$
$882$	−340.959	+	6083.26i	−0.0130166	+	0.232238i
$883$	17168.9	−	5041.24i	0.654337	−	0.192131i	0.0623198	−	0.998056i	$-0.480150\pi$
$883$	17168.9	−	5041.24i	0.654337	−	0.192131i	0.592017	+	0.805926i	$0.298332\pi$
$884$	5445.24	−	15733.0i	0.207176	−	0.598595i
$885$	−59214.0	+	21803.1i	−2.24910	+	0.828141i
$886$	−2254.63	−	47330.5i	−0.0854918	−	1.79469i
$887$	1324.82	+	6873.82i	0.0501500	+	0.260203i	0.998347	−	0.0574812i	$-0.0183069\pi$
$887$	1324.82	+	6873.82i	0.0501500	+	0.260203i	−0.948197	+	0.317684i	$0.897095\pi$
$888$	3105.68	+	1524.78i	0.117365	+	0.0576220i
$889$	745.192	+	1861.40i	0.0281135	+	0.0702242i
$890$	−29024.6	−	25149.9i	−1.09315	−	0.947222i
$891$	3579.87	−	986.209i	0.134602	−	0.0370811i
$892$	1832.33	+	538.022i	0.0687792	+	0.0201954i
$893$	3183.23	−	4470.22i	0.119286	−	0.167514i
$894$	39169.5	+	26751.0i	1.46535	+	1.00077i
$895$	−9394.49	−	18222.8i	−0.350864	−	0.680581i
$896$	−6651.09	+	11520.0i	−0.247988	+	0.429528i
$897$	−16159.4	+	9320.01i	−0.601502	+	0.346919i
$898$	−7169.23	−	12417.5i	−0.266415	−	0.461444i
$899$	2316.75	−	3604.94i	0.0859489	−	0.133739i
$900$	−23563.7	+	5507.58i	−0.872731	+	0.203985i
$901$	−1460.54	−	3198.14i	−0.0540040	−	0.118252i
$902$	1597.36	+	6584.40i	0.0589648	+	0.243056i
$903$	2781.65	−	22464.9i	0.102511	−	0.827891i
$904$	−10476.9	+	3626.08i	−0.385460	+	0.133409i
$905$	−12136.5	+	15432.8i	−0.445779	+	0.566854i
$906$	−23466.7	−	34987.3i	−0.860517	−	1.28298i
$907$	−46150.8	−	15972.9i	−1.68954	−	0.584755i	−0.698178	−	0.715925i	$-0.746005\pi$
$907$	−46150.8	−	15972.9i	−1.68954	−	0.584755i	−0.991360	+	0.131170i	$0.958127\pi$
$908$	24238.3	−	15577.0i	0.885876	−	0.569318i
$909$	14879.5	+	6102.20i	0.542929	+	0.222659i
$910$	22176.3	+	25592.8i	0.807841	+	0.932299i
$911$	−23725.1	−	22621.9i	−0.862842	−	0.822718i	0.122649	−	0.992450i	$-0.460861\pi$
$911$	−23725.1	−	22621.9i	−0.862842	−	0.822718i	−0.985490	+	0.169732i	$0.945710\pi$
$912$	−3675.04	+	9728.32i	−0.133435	+	0.353220i
$913$	2296.47	+	6635.21i	0.0832442	+	0.240518i
$914$	−1115.96	−	1567.15i	−0.0403859	−	0.0567141i
$915$	28917.5	−	17460.2i	1.04479	−	0.630836i
$916$	2460.03	+	1751.78i	0.0887353	+	0.0631881i
$917$	3327.66	+	23144.4i	0.119835	+	0.833473i
$918$	−27728.5	+	32735.0i	−0.996923	+	1.17692i
$919$		−	15495.2i		−	0.556192i	−0.960553	−	0.278096i	$-0.910297\pi$
$919$		−	15495.2i		−	0.556192i	0.960553	−	0.278096i	$-0.0897033\pi$
$920$	−11360.9	−	227.844i	−0.407127	−	0.00816498i
$921$	−28738.5	−	26346.0i	−1.02819	−	0.942597i
$922$	−29392.9	+	15153.1i	−1.04990	+	0.541259i
$923$	13587.0	−	33938.7i	0.484530	−	1.21030i
$924$	588.247	+	2759.82i	0.0209436	+	0.0982591i
$925$	14511.4	−	3520.43i	0.515819	−	0.125136i
$926$	−19622.4	−	8961.23i	−0.696361	−	0.318018i
$927$	−2218.16	−	4966.97i	−0.0785912	−	0.175983i
$928$	826.426	−	5747.92i	0.0292336	−	0.203324i
$929$	36933.5	−	38734.8i	1.30436	−	1.36797i	0.415633	−	0.909532i	$-0.363560\pi$
$929$	36933.5	−	38734.8i	1.30436	−	1.36797i	0.888725	−	0.458440i	$-0.151592\pi$
$930$	28785.9	−	46783.6i	1.01498	−	1.64956i
$931$	1598.20	−	76.1314i	0.0562607	−	0.00268003i
$932$	−26655.4	+	1269.75i	−0.936831	+	0.0446268i
$933$	17865.2	−	29035.0i	0.626883	−	1.01882i
$934$	−23685.8	+	24841.0i	−0.829790	+	0.870258i
$935$	−955.829	+	6647.94i	−0.0334320	+	0.232525i
$936$	2261.17	+	5063.27i	0.0789622	+	0.176814i
$937$	−38999.2	−	17810.3i	−1.35971	−	0.620958i	−0.403861	−	0.914820i	$-0.632332\pi$
$937$	−38999.2	−	17810.3i	−1.35971	−	0.620958i	−0.955848	+	0.293862i	$0.905059\pi$
$938$	26554.8	−	6442.14i	0.924357	−	0.224246i
$939$	3237.93	+	15191.0i	0.112530	+	0.527946i
$940$	−7855.84	+	19622.9i	−0.272584	+	0.680883i
$941$	−15684.5	+	8085.92i	−0.543358	+	0.280121i	−0.707976	−	0.706237i	$-0.750391\pi$
$941$	−15684.5	+	8085.92i	−0.543358	+	0.280121i	0.164617	+	0.986357i	$0.447361\pi$
$942$	−550.242	−	504.435i	−0.0190317	−	0.0174473i
$943$	4745.15	+	38463.5i	0.163864	+	1.32826i
$944$		−	55459.0i		−	1.91211i
$945$	−13018.6	−	36292.7i	−0.448142	−	1.24931i
$946$	710.195	+	4939.51i	0.0244085	+	0.169765i
$947$	−27213.1	−	19378.4i	−0.933799	−	0.664956i	0.00841551	−	0.999965i	$-0.497321\pi$
$947$	−27213.1	−	19378.4i	−0.933799	−	0.664956i	−0.942215	+	0.335009i	$0.891261\pi$
$948$	30184.9	−	18225.4i	1.03413	−	0.624403i
$949$	−13413.4	−	18836.4i	−0.458816	−	0.644316i
$950$	4703.88	+	13591.0i	0.160646	+	0.464157i
$951$	−11561.7	+	30605.3i	−0.394230	+	1.04358i
$952$	6209.62	+	5920.86i	0.211402	+	0.201572i
$953$	11003.8	+	12699.1i	0.374027	+	0.431650i	0.911290	−	0.411764i	$-0.135087\pi$
$953$	11003.8	+	12699.1i	0.374027	+	0.431650i	−0.537263	+	0.843415i	$0.680542\pi$
$954$	−4116.87	−	1688.36i	−0.139715	−	0.0572983i
$955$	−42160.6	+	27095.0i	−1.42857	+	0.918086i
$956$	−16439.1	−	5689.63i	−0.556150	−	0.192485i
$957$	369.368	+	550.703i	0.0124765	+	0.0186016i
$958$	27789.3	−	35337.0i	0.937195	−	1.19174i
$959$	−3349.00	+	1159.10i	−0.112768	+	0.0390296i
$960$	2929.78	−	23661.3i	0.0984983	−	0.795484i
$961$	−126.491	−	521.402i	−0.00424594	−	0.0175020i
$962$	5401.15	+	11826.9i	0.181019	+	0.396376i
$963$	24867.5	−	5812.30i	0.832132	−	0.194495i
$964$	−14788.0	+	23010.5i	−0.494075	+	0.768795i
$965$	−23999.9	−	41569.0i	−0.800604	−	1.38669i
$966$	3456.06	+	36365.5i	0.115111	+	1.21122i
$967$	1372.67	−	2377.54i	0.0456485	−	0.0790656i	−0.842298	−	0.539012i	$-0.818798\pi$
$967$	1372.67	−	2377.54i	0.0456485	−	0.0790656i	0.887947	+	0.459946i	$0.152131\pi$
$968$	−3773.59	−	7319.75i	−0.125297	−	0.243043i
$969$	9303.29	+	6353.72i	0.308426	+	0.210641i
$970$	8687.56	−	12200.0i	0.287568	−	0.403832i
$971$	−54486.6	−	15998.7i	−1.80078	−	0.528757i	−0.803038	−	0.595927i	$-0.796785\pi$
$971$	−54486.6	−	15998.7i	−1.80078	−	0.528757i	−0.997741	+	0.0671709i	$0.978603\pi$
$972$	1209.18	+	23959.8i	0.0399017	+	0.790648i
$973$	23582.0	+	20433.9i	0.776984	+	0.673260i
$974$	12029.9	+	30049.3i	0.395753	+	0.988543i
$975$	21483.4	+	10547.6i	0.705659	+	0.346455i
$976$	5618.70	+	29152.6i	0.184273	+	0.956097i
$977$	−2902.56	−	60932.3i	−0.0950472	−	1.99529i	−0.0969523	−	0.995289i	$-0.530909\pi$
$977$	−2902.56	−	60932.3i	−0.0950472	−	1.99529i	0.00190504	−	0.999998i	$-0.499394\pi$
$978$	−5843.29	+	2151.55i	−0.191051	+	0.0703467i
$979$	−1035.18	+	2990.96i	−0.0337943	+	0.0976421i
$980$	−5913.03	+	1736.22i	−0.192740	+	0.0565935i
$981$	1230.54	−	21954.9i	0.0400491	−	0.714542i
$982$	26039.6	−	30051.2i	0.846187	−	0.976552i
$983$	11083.0	−	1058.30i	0.359607	−	0.0343383i	0.0863109	−	0.996268i	$-0.472492\pi$
$983$	11083.0	−	1058.30i	0.359607	−	0.0343383i	0.273296	+	0.961930i	$0.411886\pi$
$984$	11518.1	−	225.840i	0.373155	−	0.00731658i
$985$	−4534.34	+	47485.8i	−0.146676	+	1.53606i
$986$	−7112.32	−	2847.34i	−0.229718	−	0.0919654i
$987$	−17253.9	−	4700.83i	−0.556430	−	0.151600i
$988$	−4791.89	+	2766.60i	−0.154302	+	0.0890862i
$989$	786.229	+	28533.7i	0.0252787	+	0.917409i
$990$	4872.25	+	6965.07i	0.156415	+	0.223600i
$991$	15734.0	+	10111.6i	0.504347	+	0.324124i	0.767953	−	0.640506i	$-0.221275\pi$
$991$	15734.0	+	10111.6i	0.504347	+	0.324124i	−0.263606	+	0.964630i	$0.584912\pi$
$992$	24506.2	+	31162.1i	0.784346	+	0.997377i
$993$	−14802.3	+	3155.06i	−0.473047	+	0.100828i
$994$	−49400.6	−	51809.9i	−1.57635	−	1.65323i
$995$	45996.1	−	32753.7i	1.46550	−	1.04358i
$996$	−45064.7	+	5196.49i	−1.43367	+	0.165318i
$997$	47403.2	−	18977.4i	1.50579	−	0.602827i	0.535449	−	0.844567i	$-0.320142\pi$
$997$	47403.2	−	18977.4i	1.50579	−	0.602827i	0.970341	+	0.241740i	$0.0777181\pi$
$998$	−12611.3	−	42950.1i	−0.400003	−	1.36228i
$999$	−870.166	−	14778.0i	−0.0275584	−	0.468024i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	207.4.o.a.113.15	yes	1400
9.2	odd	6	inner	207.4.o.a.182.15	yes	1400
23.11	odd	22	inner	207.4.o.a.149.15	yes	1400
207.11	even	66	inner	207.4.o.a.11.15	✓	1400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
207.4.o.a.11.15	✓	1400	207.11	even	66	inner
207.4.o.a.113.15	yes	1400	1.1	even	1	trivial
207.4.o.a.149.15	yes	1400	23.11	odd	22	inner
207.4.o.a.182.15	yes	1400	9.2	odd	6	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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 207 = 3^{2} \cdot 23 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	207.o (of order \(66\), degree \(20\), minimal)

\(f(q)\)	\(=\)	\(q+(-3.78164 - 0.180142i) q^{2} +(2.93051 - 4.29093i) q^{3} +(6.30456 + 0.602012i) q^{4} +(-11.8152 + 11.2658i) q^{5} +(-11.8551 + 15.6989i) q^{6} +(3.18592 - 16.5301i) q^{7} +(6.24601 + 0.898041i) q^{8} +(-9.82423 - 25.1492i) q^{9} +(46.7102 - 40.4746i) q^{10} +(-4.52737 - 2.33402i) q^{11} +(21.0588 - 25.2882i) q^{12} +(-31.9587 + 6.15954i) q^{13} +(-15.0258 + 61.9370i) q^{14} +(13.7161 + 83.7126i) q^{15} +(-73.2087 - 14.1098i) q^{16} +(-33.5526 + 73.4699i) q^{17} +(32.6212 + 96.8751i) q^{18} +(24.4178 - 11.1512i) q^{19} +(-81.2717 + 63.9127i) q^{20} +(-61.5933 - 62.1123i) q^{21} +(16.7004 + 9.64199i) q^{22} +(88.5501 + 65.7714i) q^{23} +(22.1574 - 24.1695i) q^{24} +(6.73359 - 141.356i) q^{25} +(121.966 - 17.5360i) q^{26} +(-136.704 - 31.5450i) q^{27} +(30.0372 - 102.297i) q^{28} +(-2.38152 - 24.9404i) q^{29} +(-36.7892 - 319.041i) q^{30} +(134.446 + 105.730i) q^{31} +(225.248 + 54.6446i) q^{32} +(-23.2826 + 12.5868i) q^{33} +(140.119 - 271.792i) q^{34} +(148.582 + 231.198i) q^{35} +(-46.7973 - 164.469i) q^{36} +(29.7276 + 101.243i) q^{37} +(-94.3481 + 37.7713i) q^{38} +(-67.2252 + 155.183i) q^{39} +(-83.9149 + 59.7555i) q^{40} +(242.458 + 254.283i) q^{41} +(221.735 + 245.982i) q^{42} +(159.967 + 203.415i) q^{43} +(-27.1380 - 17.4405i) q^{44} +(399.400 + 186.466i) q^{45} +(-323.016 - 264.675i) q^{46} +(177.047 - 102.218i) q^{47} +(-275.083 + 272.785i) q^{48} +(55.3352 + 22.1529i) q^{49} +(-50.9280 + 533.342i) q^{50} +(216.928 + 359.276i) q^{51} +(-205.194 + 19.5936i) q^{52} +(-28.5060 + 32.8977i) q^{53} +(511.281 + 143.918i) q^{54} +(79.7862 - 23.4274i) q^{55} +(34.7440 - 100.386i) q^{56} +(23.7074 - 137.454i) q^{57} +(4.51325 + 94.7447i) q^{58} +(140.776 + 730.414i) q^{59} +(36.0780 + 536.028i) q^{60} +(-148.000 - 369.687i) q^{61} +(-489.380 - 424.050i) q^{62} +(-447.019 + 82.2722i) q^{63} +(-269.675 - 79.1837i) q^{64} +(308.206 - 432.815i) q^{65} +(90.3139 - 43.4045i) q^{66} +(-196.460 - 381.079i) q^{67} +(-255.764 + 442.996i) q^{68} +(541.718 - 187.219i) q^{69} +(-520.235 - 901.074i) q^{70} +(-607.259 + 944.914i) q^{71} +(-38.7772 - 165.905i) q^{72} +(295.148 + 646.284i) q^{73} +(-94.1809 - 388.219i) q^{74} +(-586.814 - 443.137i) q^{75} +(160.657 - 55.6038i) q^{76} +(-53.0055 + 67.4020i) q^{77} +(282.176 - 574.737i) q^{78} +(1012.54 + 350.443i) q^{79} +(1023.93 - 658.041i) q^{80} +(-535.969 + 494.144i) q^{81} +(-871.081 - 1005.28i) q^{82} +(-997.646 - 951.254i) q^{83} +(-350.926 - 428.670i) q^{84} +(-431.264 - 1246.06i) q^{85} +(-568.294 - 798.058i) q^{86} +(-113.997 - 62.8692i) q^{87} +(-26.1820 - 18.6441i) q^{88} +(-88.4310 - 615.051i) q^{89} +(-1476.80 - 777.094i) q^{90} +547.906i q^{91} +(518.674 + 467.968i) q^{92} +(847.674 - 267.058i) q^{93} +(-687.940 + 354.657i) q^{94} +(-162.874 + 406.839i) q^{95} +(894.568 - 806.388i) q^{96} +(235.492 - 57.1296i) q^{97} +(-205.267 - 93.7423i) q^{98} +(-14.2210 + 136.790i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 1400 q - 27 q^{2} - 22 q^{3} - 281 q^{4} - 33 q^{5} + 29 q^{6} - 11 q^{7} - 22 q^{9} - 44 q^{10} - 33 q^{11} + 86 q^{12} - 9 q^{13} - 33 q^{14} + 726 q^{15} + 999 q^{16} + 51 q^{18} - 44 q^{19} - 33 q^{20}+ \cdots - 9262 q^{99}+O(q^{100}) \) 1400 * q - 27 * q^2 - 22 * q^3 - 281 * q^4 - 33 * q^5 + 29 * q^6 - 11 * q^7 - 22 * q^9 - 44 * q^10 - 33 * q^11 + 86 * q^12 - 9 * q^13 - 33 * q^14 + 726 * q^15 + 999 * q^16 + 51 * q^18 - 44 * q^19 - 33 * q^20 + 638 * q^21 + 252 * q^23 - 2564 * q^24 + 1397 * q^25 - 178 * q^27 - 44 * q^28 - 135 * q^29 - 1518 * q^30 - 45 * q^31 - 339 * q^32 + 1914 * q^33 - 11 * q^34 - 2137 * q^36 - 44 * q^37 - 33 * q^38 + 374 * q^39 + 979 * q^40 + 441 * q^41 - 22 * q^42 - 11 * q^43 + 516 * q^46 - 1992 * q^47 - 20 * q^48 - 4633 * q^49 - 6231 * q^50 - 22 * q^51 + 178 * q^52 + 2640 * q^54 + 256 * q^55 + 17391 * q^56 + 2090 * q^57 + 320 * q^58 - 2061 * q^59 + 418 * q^60 - 11 * q^61 - 2112 * q^63 + 8546 * q^64 - 12969 * q^65 - 5775 * q^66 - 11 * q^67 - 519 * q^69 - 1582 * q^70 - 4156 * q^72 - 36 * q^73 - 10065 * q^74 - 7876 * q^75 - 11 * q^76 + 1317 * q^77 - 10053 * q^78 - 11 * q^79 + 12442 * q^81 + 698 * q^82 + 14025 * q^83 + 16720 * q^84 + 241 * q^85 - 33 * q^86 + 11672 * q^87 - 1419 * q^88 - 37136 * q^90 + 3141 * q^92 + 1138 * q^93 + 396 * q^94 + 5883 * q^95 + 9218 * q^96 + 6325 * q^97 - 9262 * q^99

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Properties

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