LMFDB - Embedded newform 207.4.o.a.182.23

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			182.23
Character	$\chi$	$=$	207.182
Dual form			207.4.o.a.149.23

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-1.09682 - 2.12752i) q^{2} +(4.48111 + 2.63053i) q^{3} +(1.31710 - 1.84961i) q^{4} +(0.872256 + 3.59549i) q^{5} +(0.681576 - 12.4189i) q^{6} +(-2.13194 + 0.737871i) q^{7} +(-24.3337 - 3.49865i) q^{8} +(13.1606 + 23.5754i) q^{9} +(6.69278 - 5.79933i) q^{10} +(-3.12219 - 65.5428i) q^{11} +(10.7675 - 4.82361i) q^{12} +(19.7457 - 57.0514i) q^{13} +(3.90818 + 3.72644i) q^{14} +(-5.54937 + 18.4063i) q^{15} +(13.3048 + 38.4418i) q^{16} +(-13.7876 + 30.1905i) q^{17} +(35.7224 - 53.8574i) q^{18} +(80.3466 - 36.6931i) q^{19} +(7.79908 + 3.12228i) q^{20} +(-11.4944 - 2.30165i) q^{21} +(-136.019 + 78.5308i) q^{22} +(104.613 - 34.9746i) q^{23} +(-99.8384 - 79.6883i) q^{24} +(98.9377 - 51.0059i) q^{25} +(-143.036 + 20.5654i) q^{26} +(-3.04168 + 140.263i) q^{27} +(-1.44320 + 4.91510i) q^{28} +(98.9328 - 70.4497i) q^{29} +(45.2464 - 8.38183i) q^{30} +(-37.6712 + 15.0813i) q^{31} +(-68.5256 + 71.8676i) q^{32} +(158.421 - 301.917i) q^{33} +(79.3535 - 3.78007i) q^{34} +(-4.51260 - 7.02175i) q^{35} +(60.9390 + 6.70914i) q^{36} +(56.2997 + 191.739i) q^{37} +(-166.191 - 130.694i) q^{38} +(238.558 - 203.712i) q^{39} +(-8.64581 - 90.5431i) q^{40} +(-32.0214 + 7.76831i) q^{41} +(7.71045 + 26.9792i) q^{42} +(167.856 - 419.285i) q^{43} +(-125.340 - 80.5514i) q^{44} +(-73.2855 + 67.8826i) q^{45} +(-189.150 - 184.205i) q^{46} +(-434.469 - 250.841i) q^{47} +(-41.5020 + 207.261i) q^{48} +(-265.616 + 208.882i) q^{49} +(-217.033 - 154.548i) q^{50} +(-141.201 + 99.0183i) q^{51} +(-79.5156 - 111.664i) q^{52} +(-466.297 + 538.135i) q^{53} +(301.749 - 147.371i) q^{54} +(232.935 - 68.3958i) q^{55} +(54.4594 - 10.4962i) q^{56} +(456.564 + 46.9288i) q^{57} +(-258.394 - 133.212i) q^{58} +(-589.790 - 204.128i) q^{59} +(26.7352 + 34.5070i) q^{60} +(167.236 - 212.658i) q^{61} +(73.4041 + 63.6051i) q^{62} +(-45.4532 - 40.5504i) q^{63} +(540.311 + 158.650i) q^{64} +(222.351 + 21.2319i) q^{65} +(-816.095 - 5.89832i) q^{66} +(730.311 + 34.7890i) q^{67} +(37.6810 + 65.2654i) q^{68} +(560.781 + 118.462i) q^{69} +(-9.98945 + 17.3022i) q^{70} +(-98.2662 + 152.905i) q^{71} +(-237.764 - 619.720i) q^{72} +(372.956 + 816.660i) q^{73} +(346.180 - 330.082i) q^{74} +(577.523 + 31.6958i) q^{75} +(37.9567 - 196.938i) q^{76} +(55.0184 + 137.429i) q^{77} +(-695.056 - 284.104i) q^{78} +(99.2299 + 514.854i) q^{79} +(-126.612 + 81.3685i) q^{80} +(-382.597 + 620.533i) q^{81} +(51.6488 + 59.6059i) q^{82} +(-175.931 + 725.196i) q^{83} +(-19.3965 + 18.2287i) q^{84} +(-120.576 - 23.2391i) q^{85} +(-1076.15 + 102.759i) q^{86} +(628.648 - 55.4468i) q^{87} +(-153.337 + 1605.82i) q^{88} +(-115.401 - 802.630i) q^{89} +(224.803 + 81.4622i) q^{90} +136.200i q^{91} +(73.0958 - 239.557i) q^{92} +(-208.480 - 31.5145i) q^{93} +(-57.1377 + 1199.47i) q^{94} +(202.012 + 256.879i) q^{95} +(-496.121 + 141.788i) q^{96} +(-209.062 - 219.258i) q^{97} +(735.733 + 335.998i) q^{98} +(1504.11 - 936.190i) 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 $\left(\mathbb{Z}/207\mathbb{Z}\right)^\times$.

$n$	$28$	$47$
$\chi(n)$	$e\left(\frac{13}{22}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.09682	−	2.12752i	−0.387783	−	0.752194i	0.611453	−	0.791281i	$-0.290585\pi$
$2$	−1.09682	−	2.12752i	−0.387783	−	0.752194i	−0.999236	+	0.0390872i	$0.987555\pi$
$3$	4.48111	+	2.63053i	0.862389	+	0.506246i
$3$	4.48111	+	2.63053i	0.862389	+	0.506246i
$4$	1.31710	−	1.84961i	0.164637	−	0.231201i
$5$	0.872256	+	3.59549i	0.0780169	+	0.321590i	0.997425	−	0.0717143i	$-0.0228470\pi$
$5$	0.872256	+	3.59549i	0.0780169	+	0.321590i	−0.919408	+	0.393304i	$0.871332\pi$
$6$	0.681576	−	12.4189i	0.0463753	−	0.844997i
$7$	−2.13194	+	0.737871i	−0.115114	+	0.0398413i	−0.384018	−	0.923326i	$-0.625460\pi$
$7$	−2.13194	+	0.737871i	−0.115114	+	0.0398413i	0.268904	+	0.963167i	$0.413339\pi$
$8$	−24.3337	−	3.49865i	−1.07541	−	0.154620i
$9$	13.1606	+	23.5754i	0.487430	+	0.873162i
$10$	6.69278	−	5.79933i	0.211644	−	0.183391i
$11$	−3.12219	−	65.5428i	−0.0855795	−	1.79654i	−0.479655	−	0.877457i	$-0.659238\pi$
$11$	−3.12219	−	65.5428i	−0.0855795	−	1.79654i	0.394076	−	0.919078i	$-0.371065\pi$
$12$	10.7675	−	4.82361i	0.259026	−	0.116038i
$13$	19.7457	−	57.0514i	0.421267	−	1.21717i	−0.512312	−	0.858799i	$-0.671211\pi$
$13$	19.7457	−	57.0514i	0.421267	−	1.21717i	0.933579	−	0.358371i	$-0.116668\pi$
$14$	3.90818	+	3.72644i	0.0746076	+	0.0711382i
$15$	−5.54937	+	18.4063i	−0.0955228	+	0.316832i
$16$	13.3048	+	38.4418i	0.207888	+	0.600653i
$17$	−13.7876	+	30.1905i	−0.196704	+	0.430722i	−0.982122	−	0.188243i	$-0.939721\pi$
$17$	−13.7876	+	30.1905i	−0.196704	+	0.430722i	0.785418	+	0.618966i	$0.212448\pi$
$18$	35.7224	−	53.8574i	0.467770	−	0.705239i
$19$	80.3466	−	36.6931i	0.970146	−	0.443051i	0.133653	−	0.991028i	$-0.457329\pi$
$19$	80.3466	−	36.6931i	0.970146	−	0.443051i	0.836493	+	0.547977i	$0.184602\pi$
$20$	7.79908	+	3.12228i	0.0871963	+	0.0349081i
$21$	−11.4944	−	2.30165i	−0.119442	−	0.0239172i
$22$	−136.019	+	78.5308i	−1.31816	+	0.761038i
$23$	104.613	−	34.9746i	0.948401	−	0.317074i
$23$	104.613	−	34.9746i	0.948401	−	0.317074i
$24$	−99.8384	−	79.6883i	−0.849143	−	0.677763i
$25$	98.9377	−	51.0059i	0.791502	−	0.408048i
$26$	−143.036	+	20.5654i	−1.07891	+	0.155124i
$27$	−3.04168	+	140.263i	−0.0216804	+	0.999765i
$28$	−1.44320	+	4.91510i	−0.00974070	+	0.0331738i
$29$	98.9328	−	70.4497i	0.633495	−	0.451110i	−0.217660	−	0.976025i	$-0.569842\pi$
$29$	98.9328	−	70.4497i	0.633495	−	0.451110i	0.851155	+	0.524915i	$0.175903\pi$
$30$	45.2464	−	8.38183i	0.275361	−	0.0510102i
$31$	−37.6712	+	15.0813i	−0.218256	+	0.0873767i	−0.478214	−	0.878243i	$-0.658716\pi$
$31$	−37.6712	+	15.0813i	−0.218256	+	0.0873767i	0.259958	+	0.965620i	$0.416291\pi$
$32$	−68.5256	+	71.8676i	−0.378554	+	0.397016i
$33$	158.421	−	301.917i	0.835686	−	1.59264i
$34$	79.3535	−	3.78007i	0.400265	−	0.0190670i
$35$	−4.51260	−	7.02175i	−0.0217934	−	0.0339112i
$36$	60.9390	+	6.70914i	0.282125	+	0.0310608i
$37$	56.2997	+	191.739i	0.250152	+	0.851939i	0.984830	+	0.173523i	$0.0555151\pi$
$37$	56.2997	+	191.739i	0.250152	+	0.851939i	−0.734678	+	0.678416i	$0.762667\pi$
$38$	−166.191	−	130.694i	−0.709466	−	0.557930i
$39$	238.558	−	203.712i	0.979483	−	0.836410i
$40$	−8.64581	−	90.5431i	−0.0341756	−	0.357903i
$41$	−32.0214	+	7.76831i	−0.121973	+	0.0295904i	−0.296281	−	0.955101i	$-0.595746\pi$
$41$	−32.0214	+	7.76831i	−0.121973	+	0.0295904i	0.174308	+	0.984691i	$0.444231\pi$
$42$	7.71045	+	26.9792i	0.0283273	+	0.0991186i
$43$	167.856	−	419.285i	0.595299	−	1.48698i	−0.258306	−	0.966063i	$-0.583164\pi$
$43$	167.856	−	419.285i	0.595299	−	1.48698i	0.853605	−	0.520921i	$-0.174411\pi$
$44$	−125.340	−	80.5514i	−0.429450	−	0.275991i
$45$	−73.2855	+	67.8826i	−0.242773	+	0.224874i
$46$	−189.150	−	184.205i	−0.606275	−	0.590425i
$47$	−434.469	−	250.841i	−1.34838	−	0.778486i	−0.360358	−	0.932814i	$-0.617345\pi$
$47$	−434.469	−	250.841i	−1.34838	−	0.778486i	−0.988020	+	0.154328i	$0.950679\pi$
$48$	−41.5020	+	207.261i	−0.124798	+	0.623239i
$49$	−265.616	+	208.882i	−0.774389	+	0.608986i
$50$	−217.033	−	154.548i	−0.613861	−	0.437129i
$51$	−141.201	+	99.0183i	−0.387687	+	0.271869i
$52$	−79.5156	−	111.664i	−0.212054	−	0.297789i
$53$	−466.297	+	538.135i	−1.20851	+	1.39469i	−0.312932	+	0.949776i	$0.601311\pi$
$53$	−466.297	+	538.135i	−1.20851	+	1.39469i	−0.895573	+	0.444914i	$0.853234\pi$
$54$	301.749	−	147.371i	0.760424	−	0.371384i
$55$	232.935	−	68.3958i	0.571071	−	0.167682i
$56$	54.4594	−	10.4962i	0.129954	−	0.0250467i
$57$	456.564	+	46.9288i	1.06094	+	0.109050i
$58$	−258.394	−	133.212i	−0.584980	−	0.301578i
$59$	−589.790	−	204.128i	−1.30143	−	0.450428i	−0.413537	−	0.910487i	$-0.635707\pi$
$59$	−589.790	−	204.128i	−1.30143	−	0.450428i	−0.887888	+	0.460060i	$0.847828\pi$
$60$	26.7352	+	34.5070i	0.0575251	+	0.0742472i
$61$	167.236	−	212.658i	0.351023	−	0.446362i	−0.578193	−	0.815900i	$-0.696242\pi$
$61$	167.236	−	212.658i	0.351023	−	0.446362i	0.929215	+	0.369539i	$0.120484\pi$
$62$	73.4041	+	63.6051i	0.150360	+	0.130288i
$63$	−45.4532	−	40.5504i	−0.0908979	−	0.0810932i
$64$	540.311	+	158.650i	1.05529	+	0.309862i
$65$	222.351	+	21.2319i	0.424296	+	0.0405153i
$66$	−816.095	−	5.89832i	−1.52204	−	0.0110005i
$67$	730.311	+	34.7890i	1.33167	+	0.0634351i	0.701303	−	0.712864i	$-0.252602\pi$
$67$	730.311	+	34.7890i	1.33167	+	0.0634351i	0.630365	+	0.776299i	$0.282905\pi$
$68$	37.6810	+	65.2654i	0.0671984	+	0.116391i
$69$	560.781	+	118.462i	0.978408	+	0.206683i
$70$	−9.98945	+	17.3022i	−0.0170567	+	0.0295430i
$71$	−98.2662	+	152.905i	−0.164254	+	0.255585i	−0.913618	−	0.406574i	$-0.866723\pi$
$71$	−98.2662	+	152.905i	−0.164254	+	0.255585i	0.749363	+	0.662159i	$0.230360\pi$
$72$	−237.764	−	619.720i	−0.389177	−	1.01437i
$73$	372.956	+	816.660i	0.597962	+	1.30935i	0.930509	+	0.366268i	$0.119365\pi$
$73$	372.956	+	816.660i	0.597962	+	1.30935i	−0.332547	+	0.943087i	$0.607908\pi$
$74$	346.180	−	330.082i	0.543818	−	0.518530i
$75$	577.523	+	31.6958i	0.889155	+	0.0487988i
$76$	37.9567	−	196.938i	0.0572885	−	0.297241i
$77$	55.0184	+	137.429i	0.0814277	+	0.203397i
$78$	−695.056	−	284.104i	−1.00897	−	0.412416i
$79$	99.2299	+	514.854i	0.141319	+	0.733235i	0.981580	+	0.191052i	$0.0611899\pi$
$79$	99.2299	+	514.854i	0.141319	+	0.733235i	−0.840260	+	0.542183i	$0.817598\pi$
$80$	−126.612	+	81.3685i	−0.176945	+	0.113716i
$81$	−382.597	+	620.533i	−0.524824	+	0.851211i
$82$	51.6488	+	59.6059i	0.0695568	+	0.0802729i
$83$	−175.931	+	725.196i	−0.232661	+	0.959043i	0.728937	+	0.684581i	$0.240015\pi$
$83$	−175.931	+	725.196i	−0.232661	+	0.959043i	−0.961598	+	0.274462i	$0.911500\pi$
$84$	−19.3965	+	18.2287i	−0.0251944	+	0.0236775i
$85$	−120.576	−	23.2391i	−0.153862	−	0.0296545i
$86$	−1076.15	+	102.759i	−1.34935	+	0.128847i
$87$	628.648	−	55.4468i	0.774692	−	0.0683278i
$88$	−153.337	+	1605.82i	−0.185748	+	1.94524i
$89$	−115.401	−	802.630i	−0.137443	−	0.955939i	−0.935492	−	0.353347i	$-0.885044\pi$
$89$	−115.401	−	802.630i	−0.137443	−	0.955939i	0.798049	−	0.602592i	$-0.205866\pi$
$90$	224.803	+	81.4622i	0.263292	+	0.0954096i
$91$			136.200i			0.156897i
$92$	73.0958	−	239.557i	0.0828343	−	0.271473i
$93$	−208.480	−	31.5145i	−0.232456	−	0.0351387i
$94$	−57.1377	+	1199.47i	−0.0626947	+	1.31612i
$95$	202.012	+	256.879i	0.218169	+	0.277424i
$96$	−496.121	+	141.788i	−0.527449	+	0.150741i
$97$	−209.062	−	219.258i	−0.218835	−	0.229508i	0.605161	−	0.796103i	$-0.293109\pi$
$97$	−209.062	−	219.258i	−0.218835	−	0.229508i	−0.823996	+	0.566595i	$0.808260\pi$
$98$	735.733	+	335.998i	0.758370	+	0.346336i
$99$	1504.11	−	936.190i	1.52695	−	0.950410i
$100$	35.9698	−	250.176i	0.0359698	−	0.250176i
$101$	1260.65	+	305.829i	1.24197	+	0.301298i	0.802333	−	0.596877i	$-0.203592\pi$
$101$	1260.65	+	305.829i	1.24197	+	0.301298i	0.439637	+	0.898176i	$0.355107\pi$
$102$	365.535	+	191.803i	0.354837	+	0.186189i
$103$	−355.310	+	689.204i	−0.339900	+	0.659314i	−0.995392	−	0.0958881i	$-0.969431\pi$
$103$	−355.310	+	689.204i	−0.339900	+	0.659314i	0.655492	+	0.755202i	$0.272461\pi$
$104$	−680.088	+	1319.19i	−0.641232	+	1.24382i
$105$	−1.75052	−	43.3357i	−0.00162699	−	0.0402775i
$106$	1656.34	+	401.823i	1.51771	+	0.368193i
$107$	−237.415	+	1651.26i	−0.214503	+	1.49190i	0.543369	+	0.839494i	$0.317149\pi$
$107$	−237.415	+	1651.26i	−0.214503	+	1.49190i	−0.757871	+	0.652404i	$0.773761\pi$
$108$	255.425	+	190.366i	0.227577	+	0.169611i
$109$	−756.611	−	345.533i	−0.664864	−	0.303633i	0.0542478	−	0.998528i	$-0.482724\pi$
$109$	−756.611	−	345.533i	−0.664864	−	0.303633i	−0.719112	+	0.694894i	$0.755451\pi$
$110$	−401.000	−	420.557i	−0.347581	−	0.364532i
$111$	−252.091	+	1007.30i	−0.215562	+	0.861341i
$112$	−56.7302	−	72.1383i	−0.0478616	−	0.0608610i
$113$	21.3802	−	448.825i	0.0177989	−	0.373646i	−0.972341	−	0.233565i	$-0.924961\pi$
$113$	21.3802	−	448.825i	0.0177989	−	0.373646i	0.990140	−	0.140081i	$-0.0447361\pi$
$114$	−400.924	−	1022.82i	−0.329386	−	0.840317i
$115$	217.000	+	345.626i	0.175959	+	0.280259i
$116$		−	275.776i		−	0.220734i
$117$	1604.87	−	285.319i	1.26813	−	0.225451i
$118$	212.603	+	1478.68i	0.165861	+	1.15359i
$119$	7.11750	−	74.5378i	0.00548286	−	0.0574191i
$120$	199.434	−	428.476i	0.151714	−	0.325953i
$121$	−2961.13	+	282.754i	−2.22474	+	0.212437i
$122$	−635.862	−	122.552i	−0.471871	−	0.0909457i
$123$	−163.926	−	49.4227i	−0.120168	−	0.0362300i
$124$	−21.7223	+	89.5404i	−0.0157316	+	0.0648465i
$125$	572.545	+	660.752i	0.409680	+	0.472796i
$126$	−36.4183	+	141.179i	−0.0257492	+	0.0998194i
$127$	1223.82	−	786.501i	0.855090	−	0.549533i	−0.0380683	−	0.999275i	$-0.512120\pi$
$127$	1223.82	−	786.501i	0.855090	−	0.549533i	0.893158	+	0.449742i	$0.148484\pi$
$128$	−104.747	−	543.481i	−0.0723316	−	0.375292i
$129$	1855.12	−	1437.31i	1.26616	−	0.980991i
$130$	−198.706	−	496.345i	−0.134059	−	0.334864i
$131$	136.847	−	710.030i	0.0912701	−	0.473554i	−0.907319	−	0.420444i	$-0.861874\pi$
$131$	136.847	−	710.030i	0.0912701	−	0.473554i	0.998589	−	0.0531104i	$-0.0169135\pi$
$132$	−349.771	−	690.671i	−0.230634	−	0.455418i
$133$	−144.219	+	137.513i	−0.0940256	+	0.0896532i
$134$	−727.002	−	1591.91i	−0.468682	−	1.02627i
$135$	−506.967	+	111.409i	−0.323206	+	0.0710264i
$136$	441.128	−	686.408i	0.278135	−	0.432787i
$137$	−265.926	+	460.597i	−0.165836	+	0.287237i	−0.936952	−	0.349458i	$-0.886366\pi$
$137$	−265.926	+	460.597i	−0.165836	+	0.287237i	0.771116	+	0.636695i	$0.219699\pi$
$138$	−363.043	−	1323.01i	−0.223944	−	0.816100i
$139$	936.836	+	1622.65i	0.571665	+	0.990152i	0.996395	+	0.0848323i	$0.0270355\pi$
$139$	936.836	+	1622.65i	0.571665	+	0.990152i	−0.424731	+	0.905320i	$0.639631\pi$
$140$	−18.9310	−	0.901795i	−0.0114283	−	0.000544397i
$141$	−1287.06	−	2266.93i	−0.768721	−	1.35397i
$142$	433.089	+	41.3550i	0.255944	+	0.0244397i
$143$	−3800.96	−	1116.06i	−2.22274	−	0.652656i
$144$	−731.180	+	819.584i	−0.423137	+	0.474296i
$145$	339.596	+	294.261i	0.194496	+	0.168532i
$146$	1328.40	−	1689.20i	0.753008	−	0.957528i
$147$	−1739.72	+	237.314i	−0.976122	+	0.133152i
$148$	428.794	+	148.407i	0.238153	+	0.0824256i
$149$	2529.78	+	1304.19i	1.39093	+	0.717072i	0.980811	−	0.194961i	$-0.0624581\pi$
$149$	2529.78	+	1304.19i	1.39093	+	0.717072i	0.410115	+	0.912034i	$0.365488\pi$
$150$	−566.003	−	1263.46i	−0.308093	−	0.687740i
$151$	−2217.10	+	427.312i	−1.19487	+	0.230292i	−0.747626	−	0.664120i	$-0.768806\pi$
$151$	−2217.10	+	427.312i	−1.19487	+	0.230292i	−0.447243	+	0.894412i	$0.647594\pi$
$152$	−2083.50	+	611.772i	−1.11181	+	0.326456i
$153$	−893.206	+	72.2791i	−0.471970	+	0.0381923i
$154$	232.039	−	267.788i	0.121417	−	0.140123i
$155$	−87.0835	−	122.292i	−0.0451272	−	0.0633723i
$156$	−62.5820	−	709.546i	−0.0321191	−	0.364161i
$157$	407.725	+	290.340i	0.207261	+	0.147590i	0.678974	−	0.734162i	$-0.262425\pi$
$157$	407.725	+	290.340i	0.207261	+	0.147590i	−0.471713	+	0.881752i	$0.656364\pi$
$158$	986.527	−	775.813i	0.496733	−	0.390635i
$159$	−3505.11	+	1184.83i	−1.74826	+	0.590964i
$160$	−318.171	−	183.696i	−0.157210	−	0.0907653i
$161$	−197.221	+	151.754i	−0.0965415	+	0.0742852i
$162$	1739.84	+	133.374i	0.843793	+	0.0646843i
$163$	−1299.53	−	835.155i	−0.624459	−	0.401315i	0.189795	−	0.981824i	$-0.439218\pi$
$163$	−1299.53	−	835.155i	−0.624459	−	0.401315i	−0.814254	+	0.580508i	$0.802854\pi$
$164$	−27.8070	+	69.4586i	−0.0132400	+	0.0330720i
$165$	1223.72	+	306.253i	0.577374	+	0.144496i
$166$	1735.84	−	421.109i	0.811608	−	0.196894i
$167$	−32.9511	−	345.080i	−0.0152685	−	0.159899i	0.984622	−	0.174698i	$-0.0558950\pi$
$167$	−32.9511	−	345.080i	−0.0152685	−	0.159899i	−0.999890	+	0.0147996i	$0.995289\pi$
$168$	271.649	+	96.2227i	0.124751	+	0.0441889i
$169$	−1138.01	−	894.943i	−0.517985	−	0.407348i
$170$	82.8077	+	282.017i	0.0373592	+	0.127234i
$171$	1922.46	+	1411.30i	0.859734	+	0.631139i
$172$	−554.428	−	862.707i	−0.245783	−	0.382446i
$173$	2002.55	−	95.3931i	0.880063	−	0.0419226i	0.397315	−	0.917682i	$-0.369942\pi$
$173$	2002.55	−	95.3931i	0.880063	−	0.0419226i	0.482748	+	0.875760i	$0.339639\pi$
$174$	−807.475	−	1276.65i	−0.351808	−	0.556222i
$175$	−173.293	+	181.745i	−0.0748557	+	0.0785064i
$176$	2478.04	−	992.058i	1.06130	−	0.424882i
$177$	−2105.94	−	2466.18i	−0.894308	−	1.04729i
$178$	−1581.04	+	1125.85i	−0.665753	+	0.474081i
$179$	1247.45	−	4248.42i	0.520886	−	1.77398i	−0.105452	−	0.994424i	$-0.533629\pi$
$179$	1247.45	−	4248.42i	0.520886	−	1.77398i	0.626338	−	0.779552i	$-0.284553\pi$
$180$	29.0317	+	224.957i	0.0120216	+	0.0931518i
$181$	2646.32	−	380.484i	1.08674	−	0.156249i	0.424415	−	0.905468i	$-0.360480\pi$
$181$	2646.32	−	380.484i	1.08674	−	0.156249i	0.662323	+	0.749218i	$0.269571\pi$
$182$	289.769	−	149.386i	0.118017	−	0.0608420i
$183$	1308.81	−	513.023i	0.528687	−	0.207234i
$184$	−2667.97	+	485.057i	−1.06894	+	0.194342i
$185$	−640.288	+	369.671i	−0.254459	+	0.146912i
$186$	161.617	+	478.113i	0.0637113	+	0.188478i
$187$	2021.82	+	809.414i	0.790642	+	0.316525i
$188$	−1036.19	+	473.214i	−0.401980	+	0.183578i
$189$	−97.0115	−	301.277i	−0.0373362	−	0.115951i
$190$	324.947	−	711.535i	0.124075	−	0.271685i
$191$	576.810	+	1666.58i	0.218516	+	0.631359i	0.999973	+	0.00740024i	$0.00235559\pi$
$191$	576.810	+	1666.58i	0.218516	+	0.631359i	−0.781457	+	0.623959i	$0.785523\pi$
$192$	2003.86	+	2132.23i	0.753208	+	0.801461i
$193$	−2653.44	−	2530.05i	−0.989632	−	0.943612i	0.00877927	−	0.999961i	$-0.497205\pi$
$193$	−2653.44	−	2530.05i	−0.989632	−	0.943612i	−0.998411	+	0.0563494i	$0.982054\pi$
$194$	−237.174	+	685.270i	−0.0877738	+	0.253606i
$195$	940.527	+	680.044i	0.345397	+	0.249738i
$196$	36.5082	+	766.402i	0.0133048	+	0.279301i
$197$	−307.425	+	266.385i	−0.111183	+	0.0963410i	−0.708678	−	0.705532i	$-0.750708\pi$
$197$	−307.425	+	266.385i	−0.111183	+	0.0963410i	0.597495	+	0.801873i	$0.296163\pi$
$198$	−3641.49	−	2173.19i	−1.30702	−	0.780011i
$199$	1555.46	+	223.642i	0.554090	+	0.0796661i	0.413671	−	0.910426i	$-0.364246\pi$
$199$	1555.46	+	223.642i	0.554090	+	0.0796661i	0.140418	+	0.990092i	$0.455155\pi$
$200$	−2585.97	+	895.013i	−0.914278	+	0.316435i
$201$	3181.09	+	2077.00i	1.11630	+	0.728857i
$202$	−732.036	−	3017.49i	−0.254979	−	1.05104i
$203$	−158.936	+	223.194i	−0.0549513	+	0.0771683i
$204$	−2.83016	+	391.582i	−0.000971327	+	0.134393i
$205$	−55.8617	−	108.357i	−0.0190320	−	0.0369168i
$206$	1856.01			0.627739
$207$	2201.30	+	2005.99i	0.739136	+	0.673556i
$208$	2455.87			0.818674
$209$	−2655.82	−	5151.58i	−0.878981	−	1.70499i
$210$	−90.2778	+	51.2556i	−0.0296655	+	0.0168427i
$211$	1227.50	−	1723.78i	0.400495	−	0.562417i	−0.564249	−	0.825604i	$-0.690834\pi$
$211$	1227.50	−	1723.78i	0.400495	−	0.562417i	0.964745	+	0.263187i	$0.0847738\pi$
$212$	381.179	+	1571.24i	0.123488	+	0.509025i
$213$	−842.563	+	426.692i	−0.271040	+	0.137260i
$214$	3773.49	−	1306.02i	1.20538	−	0.417185i
$215$	1653.95	+	237.802i	0.524643	+	0.0754322i
$216$	564.747	−	3402.47i	0.177899	−	1.07180i
$217$	69.1847	−	59.9489i	0.0216431	−	0.0187539i
$218$	94.7332	+	1988.69i	0.0294318	+	0.617850i
$219$	−476.994	+	4640.61i	−0.147179	+	1.43189i
$220$	180.293	−	520.921i	0.0552515	−	0.159639i
$221$	1450.17	+	1382.73i	0.441397	+	0.420872i
$222$	2419.56	−	568.494i	0.731487	−	0.171869i
$223$	410.354	+	1185.64i	0.123226	+	0.356037i	0.989695	−	0.143194i	$-0.0457372\pi$
$223$	410.354	+	1185.64i	0.123226	+	0.356037i	−0.866469	+	0.499231i	$0.833616\pi$
$224$	93.0635	−	203.781i	0.0277592	−	0.0607842i
$225$	2504.57	+	1661.22i	0.742093	+	0.492215i
$226$	−978.337	+	446.792i	−0.287956	+	0.131505i
$227$	5666.46	+	2268.51i	1.65681	+	0.663287i	0.996172	−	0.0874169i	$-0.0278612\pi$
$227$	5666.46	+	2268.51i	1.65681	+	0.663287i	0.660639	+	0.750704i	$0.270285\pi$
$228$	688.139	−	782.653i	0.199882	−	0.227335i
$229$	−3029.43	+	1749.04i	−0.874194	+	0.504716i	−0.868740	−	0.495269i	$-0.835070\pi$
$229$	−3029.43	+	1749.04i	−0.874194	+	0.504716i	−0.00545447	+	0.999985i	$0.501736\pi$
$230$	497.320	−	840.760i	0.142575	−	0.241035i
$231$	−114.969	+	760.563i	−0.0327463	+	0.216629i
$232$	−2653.87	+	1368.17i	−0.751015	+	0.387175i
$233$	−442.461	+	63.6163i	−0.124406	+	0.0178869i	−0.204237	−	0.978922i	$-0.565471\pi$
$233$	−442.461	+	63.6163i	−0.124406	+	0.0178869i	0.0798305	+	0.996808i	$0.474562\pi$
$234$	−2367.27	−	3101.47i	−0.661340	−	0.866449i
$235$	522.926	−	1780.92i	0.145157	−	0.494360i
$236$	−1154.37	+	822.021i	−0.318402	+	0.226733i
$237$	−909.679	+	2568.14i	−0.249325	+	0.703876i
$238$	−166.388	+	66.6116i	−0.0453164	+	0.0181420i
$239$	−2588.98	+	2715.25i	−0.700701	+	0.734874i	−0.973873	−	0.227091i	$-0.927078\pi$
$239$	−2588.98	+	2715.25i	−0.700701	+	0.734874i	0.273173	+	0.961965i	$0.411927\pi$
$240$	−781.403	+	31.5644i	−0.210164	+	0.00848946i
$241$	856.403	−	40.7955i	0.228904	−	0.0109040i	0.0671833	−	0.997741i	$-0.478599\pi$
$241$	856.403	−	40.7955i	0.228904	−	0.0109040i	0.161720	+	0.986837i	$0.448296\pi$
$242$	3849.38	+	5989.75i	1.02251	+	1.59106i
$243$	−3346.79	+	1774.24i	−0.883525	+	0.468385i
$244$	−173.067	−	589.412i	−0.0454077	−	0.154644i
$245$	−982.718	−	772.818i	−0.256259	−	0.201525i
$246$	74.6486	+	402.964i	0.0193472	+	0.104439i
$247$	−506.892	−	5308.42i	−0.130578	−	1.36748i
$248$	969.443	−	235.184i	0.248224	−	0.0602186i
$249$	−2696.01	+	2786.89i	−0.686156	+	0.709284i
$250$	777.791	−	1942.83i	0.196767	−	0.491501i
$251$	5718.36	+	3674.97i	1.43801	+	0.924150i	0.999679	+	0.0253349i	$0.00806522\pi$
$251$	5718.36	+	3674.97i	1.43801	+	0.924150i	0.438327	+	0.898816i	$0.355571\pi$
$252$	−134.869	+	30.6616i	−0.0337140	+	0.00766468i
$253$	−2618.95	−	6747.40i	−0.650798	−	1.67670i
$254$	−3015.60	−	1741.06i	−0.744944	−	0.430094i
$255$	−479.182	−	421.316i	−0.117677	−	0.103466i
$256$	2499.77	−	1965.84i	0.610294	−	0.479941i
$257$	−719.393	−	512.277i	−0.174609	−	0.124338i	0.489411	−	0.872053i	$-0.337212\pi$
$257$	−719.393	−	512.277i	−0.174609	−	0.124338i	−0.664020	+	0.747715i	$0.731151\pi$
$258$	−5092.63	−	2370.36i	−1.22889	−	0.571985i
$259$	−261.507	−	367.235i	−0.0627383	−	0.0881036i
$260$	332.129	−	383.297i	0.0792221	−	0.0914272i
$261$	2962.89	+	1405.22i	0.702676	+	0.333259i
$262$	−1660.70	+	487.626i	−0.391597	+	0.114983i
$263$	3499.45	−	674.465i	0.820478	−	0.158134i	0.238296	−	0.971193i	$-0.423411\pi$
$263$	3499.45	−	674.465i	0.820478	−	0.158134i	0.582182	+	0.813059i	$0.302199\pi$
$264$	−4911.28	+	6792.48i	−1.14496	+	1.58352i
$265$	−2341.59	−	1207.17i	−0.542802	−	0.279834i
$266$	450.744	+	156.004i	0.103898	+	0.0359595i
$267$	1594.22	−	3900.23i	0.365411	−	0.893972i
$268$	1026.24	−	1304.97i	0.233908	−	0.297439i
$269$	−6227.79	−	5396.41i	−1.41158	−	1.22314i	−0.939935	−	0.341354i	$-0.889115\pi$
$269$	−6227.79	−	5396.41i	−1.41158	−	1.22314i	−0.471646	−	0.881788i	$-0.656340\pi$
$270$	793.075	+	956.391i	0.178759	+	0.215571i
$271$	−5266.03	−	1546.25i	−1.18040	−	0.346597i	−0.368072	−	0.929797i	$-0.619982\pi$
$271$	−5266.03	−	1546.25i	−1.18040	−	0.346597i	−0.812328	+	0.583200i	$0.801800\pi$
$272$	−1344.02	−	128.338i	−0.299607	−	0.0286090i
$273$	−358.278	+	610.326i	−0.0794285	+	0.135306i
$274$	1271.60	+	60.5740i	0.280366	+	0.0133555i
$275$	−3651.97	−	6325.40i	−0.800808	−	1.38704i
$276$	957.711	−	881.199i	0.208868	−	0.192181i
$277$	−3557.84	+	6162.35i	−0.771732	+	1.33668i	0.164882	+	0.986313i	$0.447276\pi$
$277$	−3557.84	+	6162.35i	−0.771732	+	1.33668i	−0.936613	+	0.350365i	$0.886058\pi$
$278$	2424.69	−	3772.89i	0.523104	−	0.813966i
$279$	−851.323	−	689.634i	−0.182679	−	0.147983i
$280$	85.2415	+	186.653i	0.0181934	+	0.0398380i
$281$	−4631.08	+	4415.73i	−0.983157	+	0.937438i	−0.998048	−	0.0624508i	$-0.980108\pi$
$281$	−4631.08	+	4415.73i	−0.983157	+	0.937438i	0.0148910	+	0.999889i	$0.495260\pi$
$282$	−3411.28	+	5224.64i	−0.720350	+	1.10327i
$283$	−1020.43	+	5294.48i	−0.214340	+	1.11210i	0.702146	+	0.712033i	$0.252225\pi$
$283$	−1020.43	+	5294.48i	−0.214340	+	1.11210i	−0.916486	+	0.400067i	$0.868987\pi$
$284$	153.388	+	383.145i	0.0320490	+	0.0800544i
$285$	229.509	+	1682.50i	0.0477015	+	0.349694i
$286$	1794.50	+	9310.74i	0.371017	+	1.92502i
$287$	62.5357	−	40.1892i	0.0128619	−	0.00826584i
$288$	−2596.15	−	669.696i	−0.531178	−	0.137022i
$289$	2495.96	+	2880.49i	0.508032	+	0.586300i
$290$	253.574	−	1045.25i	0.0513462	−	0.211652i
$291$	−360.064	−	1532.46i	−0.0725338	−	0.308710i
$292$	2001.72	+	385.800i	0.401170	+	0.0773193i
$293$	4336.81	−	414.116i	0.864708	−	0.0825696i	0.346731	−	0.937964i	$-0.387292\pi$
$293$	4336.81	−	414.116i	0.864708	−	0.0825696i	0.517976	+	0.855395i	$0.326685\pi$
$294$	2413.05	+	3441.01i	0.478679	+	0.682598i
$295$	219.493	−	2298.63i	0.0433199	−	0.453666i
$296$	−699.149	−	4862.69i	−0.137288	−	0.954859i
$297$	9202.73	−	238.568i	1.79797	−	0.0466098i
$298$		−	6812.64i		−	1.32431i
$299$	70.2965	−	6658.89i	0.0135965	−	1.28794i
$300$	819.279	−	1026.44i	0.157670	−	0.197539i
$301$	−48.4812	+	1017.75i	−0.00928376	+	0.194890i
$302$	3340.87	+	4248.26i	0.636574	+	0.809470i
$303$	4844.59	+	4686.62i	0.918530	+	0.888578i
$304$	2479.55	+	2600.47i	0.467802	+	0.490616i
$305$	910.482	+	415.803i	0.170931	+	0.0780617i
$306$	1133.46	+	1821.04i	0.211750	+	0.340202i
$307$	171.562	−	1193.24i	0.0318943	−	0.221830i	−0.967640	−	0.252333i	$-0.918802\pi$
$307$	171.562	−	1193.24i	0.0318943	−	0.221830i	0.999535	+	0.0305037i	$0.00971114\pi$
$308$	326.655	+	79.2456i	0.0604315	+	0.0146605i
$309$	−3405.15	+	2153.74i	−0.626901	+	0.396512i
$310$	−164.664	+	319.404i	−0.0301687	+	0.0585190i
$311$	−2252.28	+	4368.82i	−0.410660	+	0.796569i	−0.999935	−	0.0113631i	$-0.996383\pi$
$311$	−2252.28	+	4368.82i	−0.410660	+	0.796569i	0.589276	+	0.807932i	$0.299413\pi$
$312$	−6517.71	+	4122.42i	−1.18267	+	0.748032i
$313$	3073.85	+	745.709i	0.555094	+	0.134664i	0.503487	−	0.864003i	$-0.332050\pi$
$313$	3073.85	+	745.709i	0.555094	+	0.134664i	0.0516077	+	0.998667i	$0.483565\pi$
$314$	170.506	−	1185.89i	0.0306439	−	0.213133i
$315$	106.152	−	198.797i	0.0189872	−	0.0355585i
$316$	1082.97	+	494.577i	0.192791	+	0.0880446i
$317$	2501.89	+	2623.91i	0.443282	+	0.464900i	0.907030	−	0.421067i	$-0.138344\pi$
$317$	2501.89	+	2623.91i	0.443282	+	0.464900i	−0.463748	+	0.885967i	$0.653496\pi$
$318$	6365.21	+	6157.66i	1.12246	+	1.08586i
$319$	−4926.35	−	6264.37i	−0.864649	−	1.09949i
$320$	−99.1333	+	2081.06i	−0.0173179	+	0.363547i
$321$	−5407.57	+	6774.93i	−0.940252	+	1.17801i
$322$	539.176	+	253.146i	0.0933139	+	0.0438114i
$323$			2931.61i			0.505014i
$324$	643.823	+	1524.96i	0.110395	+	0.261481i
$325$	−956.368	−	6651.69i	−0.163230	−	1.13529i
$326$	−351.472	+	3680.79i	−0.0597125	+	0.625337i
$327$	−2481.52	−	3538.66i	−0.419658	−	0.598435i
$328$	806.377	−	76.9996i	0.135746	−	0.0129622i
$329$	1111.35	+	214.195i	0.186233	+	0.0358935i
$330$	−690.636	−	2939.40i	−0.115207	−	0.490330i
$331$	1828.38	−	7536.70i	0.303616	−	1.25152i	−0.591724	−	0.806141i	$-0.701552\pi$
$331$	1828.38	−	7536.70i	0.303616	−	1.25152i	0.895340	−	0.445383i	$-0.146932\pi$
$332$	1109.61	+	1280.56i	0.183427	+	0.211686i
$333$	−3779.39	+	3850.69i	−0.621949	+	0.633684i
$334$	−698.025	+	448.593i	−0.114354	+	0.0734908i
$335$	511.935	+	2656.17i	0.0834925	+	0.433200i
$336$	−64.4519	−	472.490i	−0.0104647	−	0.0767156i
$337$	−1731.43	−	4324.92i	−0.279873	−	0.699089i	−0.999986	−	0.00523278i	$-0.998334\pi$
$337$	−1731.43	−	4324.92i	−0.279873	−	0.699089i	0.720113	−	0.693857i	$-0.244090\pi$
$338$	−655.824	+	3402.74i	−0.105539	+	0.547587i
$339$	1276.46	−	1954.99i	0.204506	−	0.313217i
$340$	−201.793	+	192.410i	−0.0321876	+	0.0306908i
$341$	1106.09	+	2421.99i	0.175654	+	0.384628i
$342$	893.985	−	5638.02i	0.141348	−	0.891431i
$343$	830.503	−	1292.29i	0.130738	−	0.203432i
$344$	−5551.49	+	9615.46i	−0.870105	+	1.50707i
$345$	63.2173	+	2119.61i	0.00986524	+	0.330771i
$346$	−2399.38	−	4155.84i	−0.372807	−	0.645721i
$347$	−1443.20	−	68.7481i	−0.223271	−	0.0106357i	−0.0643517	−	0.997927i	$-0.520498\pi$
$347$	−1443.20	−	68.7481i	−0.223271	−	0.0106357i	−0.158919	+	0.987292i	$0.550801\pi$
$348$	725.437	−	1235.78i	0.111746	−	0.190359i
$349$	−2366.64	−	225.987i	−0.362989	−	0.0346613i	−0.0880319	−	0.996118i	$-0.528058\pi$
$349$	−2366.64	−	225.987i	−0.362989	−	0.0346613i	−0.274958	+	0.961456i	$0.588664\pi$
$350$	576.738	+	169.345i	0.0880798	+	0.0258626i
$351$	7942.15	+	2943.12i	1.20775	+	0.447557i
$352$	4924.35	+	4266.98i	0.745650	+	0.646110i
$353$	2085.29	−	2651.66i	0.314415	−	0.399811i	−0.603001	−	0.797740i	$-0.706029\pi$
$353$	2085.29	−	2651.66i	0.314415	−	0.399811i	0.917416	+	0.397929i	$0.130271\pi$
$354$	−2937.03	+	7185.39i	−0.440964	+	1.07881i
$355$	−635.482	−	219.942i	−0.0950081	−	0.0328826i
$356$	−1636.54	−	843.696i	−0.243642	−	0.125606i
$357$	227.968	−	315.289i	0.0337965	−	0.0467419i
$358$	−10406.8	+	2005.75i	−1.53636	+	0.296110i
$359$	7965.36	−	2338.84i	1.17102	−	0.343842i	0.362314	−	0.932056i	$-0.381987\pi$
$359$	7965.36	−	2338.84i	1.17102	−	0.343842i	0.808705	+	0.588214i	$0.200169\pi$
$360$	2020.80	−	1395.43i	0.295849	−	0.204293i
$361$	617.508	−	712.642i	0.0900289	−	0.103899i
$362$	−3712.02	−	5212.80i	−0.538948	−	0.756847i
$363$	−14012.9	−	6522.30i	−2.02614	−	0.943064i
$364$	251.916	+	179.389i	0.0362747	+	0.0258311i
$365$	−2610.98	+	2053.30i	−0.374424	+	0.294450i
$366$	−2526.99	−	2221.83i	−0.360895	−	0.317313i
$367$	1590.38	+	918.204i	0.226204	+	0.130599i	0.608820	−	0.793309i	$-0.291643\pi$
$367$	1590.38	+	918.204i	0.226204	+	0.130599i	−0.382616	+	0.923908i	$0.624977\pi$
$368$	2736.34	+	3556.16i	0.387613	+	0.503744i
$369$	−604.562	−	652.681i	−0.0852906	−	0.0920792i
$370$	1488.76	+	956.769i	0.209181	+	0.134433i
$371$	597.042	−	1491.34i	0.0835495	−	0.208697i
$372$	−332.879	+	344.099i	−0.0463950	+	0.0479589i
$373$	−6073.89	+	1473.51i	−0.843147	+	0.204545i	−0.633994	−	0.773338i	$-0.718586\pi$
$373$	−6073.89	+	1473.51i	−0.843147	+	0.204545i	−0.209153	+	0.977883i	$0.567071\pi$
$374$	−495.513	−	5189.24i	−0.0685090	−	0.717458i
$375$	827.505	+	4467.00i	0.113953	+	0.615133i
$376$	9694.60	+	7623.92i	1.32968	+	1.04567i
$377$	−2065.76	−	7035.33i	−0.282207	−	0.961109i
$378$	−534.570	+	536.839i	−0.0727390	+	0.0730477i
$379$	−2868.70	−	4463.78i	−0.388800	−	0.604984i	0.590588	−	0.806973i	$-0.298896\pi$
$379$	−2868.70	−	4463.78i	−0.388800	−	0.604984i	−0.979388	+	0.201989i	$0.935259\pi$
$380$	741.196	−	35.3075i	0.100059	−	0.00476641i
$381$	7552.98	−	305.099i	1.01562	−	0.0410254i
$382$	2913.04	−	3055.11i	0.390168	−	0.409196i
$383$	3851.28	−	1541.82i	0.513815	−	0.205701i	−0.100240	−	0.994963i	$-0.531961\pi$
$383$	3851.28	−	1541.82i	0.513815	−	0.205701i	0.614056	+	0.789263i	$0.289537\pi$
$384$	960.259	−	2710.93i	0.127612	−	0.360265i
$385$	−446.136	+	317.692i	−0.0590576	+	0.0420547i
$386$	−2472.41	+	8420.26i	−0.326017	+	1.11031i
$387$	12093.9	−	1560.77i	1.58854	−	0.205009i
$388$	−680.896	+	97.8980i	−0.0890908	+	0.0128093i
$389$	−5291.15	+	2727.78i	−0.689645	+	0.355537i	−0.767161	−	0.641455i	$-0.778331\pi$
$389$	−5291.15	+	2727.78i	−0.689645	+	0.355537i	0.0775164	+	0.996991i	$0.475301\pi$
$390$	415.226	−	2746.88i	0.0539122	−	0.356650i
$391$	−386.449	+	3640.52i	−0.0499836	+	0.470867i
$392$	7194.20	−	4153.58i	0.926944	−	0.535172i
$393$	2480.98	−	2821.74i	0.318445	−	0.362183i
$394$	903.930	+	361.879i	0.115582	+	0.0462721i
$395$	−1764.60	+	805.864i	−0.224776	+	0.102652i
$396$	249.473	−	4015.05i	0.0316578	−	0.509505i
$397$	−2149.49	+	4706.73i	−0.271738	+	0.595022i	−0.995472	−	0.0950565i	$-0.969697\pi$
$397$	−2149.49	+	4706.73i	−0.271738	+	0.595022i	0.723734	+	0.690079i	$0.242424\pi$
$398$	−1230.25	−	3554.58i	−0.154942	−	0.447676i
$399$	−1007.99	+	236.836i	−0.126473	+	0.0297159i
$400$	3277.11	+	3124.72i	0.409639	+	0.390590i
$401$	2917.21	−	8428.74i	0.363289	−	1.04965i	−0.604221	−	0.796817i	$-0.706515\pi$
$401$	2917.21	−	8428.74i	0.363289	−	1.04965i	0.967509	−	0.252836i	$-0.0813634\pi$
$402$	929.803	−	9045.93i	0.115359	−	1.12231i
$403$	116.564	+	2446.99i	0.0144081	+	0.302464i
$404$	2226.06	−	1928.89i	0.274135	−	0.237539i
$405$	−2564.84	−	834.358i	−0.314686	−	0.102369i
$406$	649.174	+	93.3372i	0.0793546	+	0.0114095i
$407$	12391.3	−	4288.69i	1.50913	−	0.522315i
$408$	3782.36	−	1915.47i	0.458957	−	0.232426i
$409$	903.088	+	3722.58i	0.109180	+	0.450048i	0.999991	−	0.00432764i	$-0.00137754\pi$
$409$	903.088	+	3722.58i	0.109180	+	0.450048i	−0.890810	+	0.454376i	$0.849862\pi$
$410$	−169.261	+	237.694i	−0.0203883	+	0.0286314i
$411$	−2403.26	+	1364.46i	−0.288428	+	0.163756i
$412$	806.779	+	1564.93i	0.0964736	+	0.187133i
$413$	1408.02			0.167758
$414$	1853.38	−	6883.53i	0.220020	−	0.817167i
$415$	−2760.89			−0.326570
$416$	2747.06	+	5328.56i	0.323764	+	0.628015i
$417$	−70.3642	+	9735.63i	−0.00826319	+	1.14330i
$418$	−8047.16	+	11300.7i	−0.941625	+	1.32233i
$419$	−176.408	−	727.165i	−0.0205683	−	0.0847836i	0.960602	−	0.277926i	$-0.0896471\pi$
$419$	−176.408	−	727.165i	−0.0205683	−	0.0847836i	−0.981171	+	0.193143i	$0.938132\pi$
$420$	−82.4596	−	53.8396i	−0.00958004	−	0.00625501i
$421$	−12664.3	+	4383.14i	−1.46608	+	0.507414i	−0.939451	−	0.342683i	$-0.888664\pi$
$421$	−12664.3	+	4383.14i	−1.46608	+	0.507414i	−0.526626	+	0.850097i	$0.676543\pi$
$422$	−5013.73	−	720.865i	−0.578352	−	0.0831544i
$423$	195.788	−	13544.0i	0.0225048	−	1.55681i
$424$	13229.5	−	11463.4i	1.51528	−	1.31300i
$425$	175.787	+	3690.23i	0.0200634	+	0.421182i
$426$	1831.93	+	1324.57i	0.208351	+	0.150647i
$427$	−199.623	+	576.773i	−0.0226240	+	0.0653676i
$428$	2741.48	+	2613.99i	0.309613	+	0.295215i
$429$	−14096.7	−	14999.7i	−1.58646	−	1.68810i
$430$	−1308.14	−	3779.64i	−0.146708	−	0.423884i
$431$	3519.77	−	7707.21i	0.393367	−	0.861354i	−0.604533	−	0.796580i	$-0.706640\pi$
$431$	3519.77	−	7707.21i	0.393367	−	0.861354i	0.997900	−	0.0647735i	$-0.0206325\pi$
$432$	−5432.44	+	1749.25i	−0.605019	+	0.194817i
$433$	−4511.80	+	2060.47i	−0.500746	+	0.228683i	−0.649742	−	0.760155i	$-0.725123\pi$
$433$	−4511.80	+	2060.47i	−0.500746	+	0.228683i	0.148996	+	0.988838i	$0.452396\pi$
$434$	−203.426	−	81.4393i	−0.0224994	−	0.00900740i
$435$	747.700	+	2211.93i	0.0824126	+	0.243802i
$436$	−1635.63	+	944.331i	−0.179662	+	0.103728i
$437$	7121.94	−	6648.64i	0.779607	−	0.727798i
$438$	10396.2	−	4075.08i	1.13413	−	0.444554i
$439$	1058.94	−	545.923i	0.115127	−	0.0593519i	−0.399701	−	0.916645i	$-0.630886\pi$
$439$	1058.94	−	545.923i	0.115127	−	0.0593519i	0.514828	+	0.857294i	$0.327856\pi$
$440$	−5907.45	+	849.363i	−0.640060	+	0.0920268i
$441$	−8420.14	−	3512.97i	−0.909204	−	0.379329i
$442$	1351.23	−	4601.87i	0.145411	−	0.495223i
$443$	−1049.21	+	747.141i	−0.112527	+	0.0801303i	−0.634935	−	0.772565i	$-0.718973\pi$
$443$	−1049.21	+	747.141i	−0.112527	+	0.0801303i	0.522408	+	0.852696i	$0.325034\pi$
$444$	1531.08	+	1792.98i	0.163653	+	0.191647i
$445$	2785.19	−	1115.02i	0.296698	−	0.118780i
$446$	2072.40	−	2173.47i	0.220024	−	0.230755i
$447$	7905.51	+	12498.9i	0.836505	+	1.32255i
$448$	−1268.97	+	60.4486i	−0.133824	+	0.00637484i
$449$	−1711.75	−	2663.54i	−0.179916	−	0.279956i	0.739568	−	0.673082i	$-0.235030\pi$
$449$	−1711.75	−	2663.54i	−0.179916	−	0.279956i	−0.919484	+	0.393126i	$0.871393\pi$
$450$	787.251	−	7150.58i	0.0824697	−	0.749070i
$451$	609.133	+	2074.52i	0.0635986	+	0.216597i
$452$	−801.990	−	630.692i	−0.0834567	−	0.0656311i
$453$	−11059.1	−	3917.33i	−1.14703	−	0.406296i
$454$	−1388.75	−	14543.7i	−0.143562	−	1.50345i
$455$	−489.705	+	118.801i	−0.0504565	+	0.0122406i
$456$	−10945.7	−	2739.31i	−1.12408	−	0.281315i
$457$	2391.48	−	5973.62i	0.244789	−	0.611453i	−0.754189	−	0.656658i	$-0.771970\pi$
$457$	2391.48	−	5973.62i	0.244789	−	0.611453i	0.998978	+	0.0452045i	$0.0143940\pi$
$458$	7043.86	+	4526.81i	0.718642	+	0.461843i
$459$	−4192.68	−	2025.72i	−0.426356	−	0.205996i
$460$	925.082	+	53.8600i	0.0937655	+	0.00545921i
$461$	−867.673	−	500.951i	−0.0876607	−	0.0506109i	0.455529	−	0.890221i	$-0.349450\pi$
$461$	−867.673	−	500.951i	−0.0876607	−	0.0506109i	−0.543190	+	0.839610i	$0.682784\pi$
$462$	1744.22	−	589.598i	0.175646	−	0.0593736i
$463$	−2011.98	+	1582.24i	−0.201954	+	0.158818i	−0.714014	−	0.700131i	$-0.753125\pi$
$463$	−2011.98	+	1582.24i	−0.201954	+	0.158818i	0.512061	+	0.858949i	$0.328882\pi$
$464$	4024.50	+	2865.83i	0.402657	+	0.286730i
$465$	−68.5383	−	777.077i	−0.00683524	−	0.0774970i
$466$	620.644	+	871.572i	0.0616969	+	0.0866412i
$467$	4573.17	−	5277.72i	0.453150	−	0.522963i	−0.482498	−	0.875897i	$-0.660271\pi$
$467$	4573.17	−	5277.72i	0.453150	−	0.522963i	0.935648	+	0.352934i	$0.114816\pi$
$468$	1586.05	−	3344.18i	0.156656	−	0.330309i
$469$	−1582.65	+	464.708i	−0.155821	+	0.0457531i
$470$	−4362.51	+	840.805i	−0.428144	+	0.0825180i
$471$	1063.31	+	2373.58i	0.104023	+	0.232205i
$472$	13637.6	+	7030.66i	1.32992	+	0.685619i
$473$	−28005.2	−	9692.68i	−2.72236	−	0.942220i
$474$	6461.53	−	881.412i	0.626135	−	0.0854105i
$475$	6077.75	−	7728.48i	0.587087	−	0.746541i
$476$	−128.491	−	111.338i	−0.0123726	−	0.0107210i
$477$	−18823.5	−	3910.93i	−1.80685	−	0.375407i
$478$	8616.39	+	2530.00i	0.824487	+	0.242091i
$479$	8699.69	+	830.720i	0.829852	+	0.0792413i	0.501331	−	0.865255i	$-0.332844\pi$
$479$	8699.69	+	830.720i	0.829852	+	0.0792413i	0.328521	+	0.944497i	$0.393450\pi$
$480$	−942.539	−	1660.12i	−0.0896268	−	0.157862i
$481$	12050.7	+	574.044i	1.14234	+	0.0544161i
$482$	−1026.11	−	1777.27i	−0.0969668	−	0.167951i
$483$	−1282.96	+	161.231i	−0.120863	+	0.0151890i
$484$	−3377.12	+	5849.34i	−0.317160	+	0.549337i
$485$	605.983	−	942.929i	0.0567346	−	0.0882808i
$486$	7445.55	+	5174.36i	0.694932	+	0.482950i
$487$	7540.88	+	16512.2i	0.701663	+	1.53643i	0.837943	+	0.545758i	$0.183758\pi$
$487$	7540.88	+	16512.2i	0.701663	+	1.53643i	−0.136279	+	0.990670i	$0.543514\pi$
$488$	−4813.48	+	4589.65i	−0.446508	+	0.425745i
$489$	−3626.41	−	7160.86i	−0.335362	−	0.662220i
$490$	−566.329	+	2938.40i	−0.0522126	+	0.270905i
$491$	−3164.21	−	7903.81i	−0.290832	−	0.726464i	−0.999775	−	0.0211984i	$-0.993252\pi$
$491$	−3164.21	−	7903.81i	−0.290832	−	0.726464i	0.708943	−	0.705266i	$-0.249172\pi$
$492$	−307.319	+	238.104i	−0.0281606	+	0.0218182i
$493$	762.873	+	3958.16i	0.0696918	+	0.361596i
$494$	−10737.8	+	6900.78i	−0.977971	+	0.628504i
$495$	4678.02	+	4591.39i	0.424771	+	0.416905i
$496$	−1080.96	−	1247.50i	−0.0978560	−	0.112932i
$497$	96.6732	−	398.492i	0.00872512	−	0.0359654i
$498$	8886.20	+	2679.13i	0.799599	+	0.241074i
$499$	−17963.4	−	3462.16i	−1.61153	−	0.310597i	−0.697605	−	0.716483i	$-0.745751\pi$
$499$	−17963.4	−	3462.16i	−1.61153	−	0.310597i	−0.913924	+	0.405886i	$0.866963\pi$
$500$	1976.23	−	188.707i	0.176759	−	0.0168785i
$501$	760.086	−	1633.02i	0.0677807	−	0.145625i
$502$	1546.60	−	16196.7i	0.137506	−	1.44003i
$503$	−162.583	−	1130.79i	−0.0144119	−	0.100237i	0.981346	−	0.192251i	$-0.0615787\pi$
$503$	−162.583	−	1130.79i	−0.0144119	−	0.100237i	−0.995758	+	0.0920137i	$0.970670\pi$
$504$	964.171	+	1145.77i	0.0852135	+	0.101263i
$505$			4799.39i			0.422911i
$506$	−11482.7	+	12972.5i	−1.00883	+	1.13972i
$507$	−2745.38	−	7003.91i	−0.240486	−	0.613520i
$508$	157.174	−	3299.48i	0.0137273	−	0.288171i
$509$	−1485.33	−	1888.75i	−0.129344	−	0.164474i	0.717067	−	0.697004i	$-0.245484\pi$
$509$	−1485.33	−	1888.75i	−0.129344	−	0.164474i	−0.846411	+	0.532530i	$0.821242\pi$
$510$	−370.785	+	1481.58i	−0.0321934	+	0.128638i
$511$	−1397.71	−	1465.88i	−0.121000	−	0.126901i
$512$	−10951.9	−	5001.55i	−0.945330	−	0.431718i
$513$	4902.30	+	11381.3i	0.421914	+	0.979524i
$514$	−300.842	+	2092.40i	−0.0258163	+	0.179556i
$515$	−2787.95	−	676.348i	−0.238547	−	0.0578708i
$516$	−215.073	−	5324.32i	−0.0183490	−	0.454244i
$517$	−15084.3	+	29259.4i	−1.28318	+	2.48903i
$518$	−494.476	+	959.150i	−0.0419422	+	0.0813564i
$519$	9224.56	+	4840.30i	0.780180	+	0.409375i
$520$	−5336.33	−	1294.58i	−0.450026	−	0.109175i
$521$	−1784.38	+	12410.6i	−0.150048	+	1.04361i	0.766087	+	0.642737i	$0.222201\pi$
$521$	−1784.38	+	12410.6i	−0.150048	+	1.04361i	−0.916135	+	0.400870i	$0.868708\pi$
$522$	−260.115	−	7844.89i	−0.0218102	−	0.657781i
$523$	14104.5	+	6441.33i	1.17925	+	0.538546i	0.905951	−	0.423382i	$-0.139157\pi$
$523$	14104.5	+	6441.33i	1.17925	+	0.538546i	0.273301	+	0.961929i	$0.411885\pi$
$524$	−1133.03	−	1188.29i	−0.0944596	−	0.0990664i
$525$	−1254.63	+	358.564i	−0.104298	+	0.0298077i
$526$	−5273.20	−	6705.41i	−0.437115	−	0.555836i
$527$	64.0820	−	1345.25i	0.00529688	−	0.111195i
$528$	13714.0	+	2073.05i	1.13035	+	0.170867i
$529$	9720.56	−	7317.56i	0.798928	−	0.601427i
$530$			6305.83i			0.516807i
$531$	−2949.59	−	16591.0i	−0.241057	−	1.35591i
$532$	64.3935	+	447.867i	0.00524777	+	0.0364990i
$533$	−189.092	+	1980.26i	−0.0153667	+	0.160928i
$534$	−10046.4	+	886.094i	−0.814140	+	0.0718072i
$535$	−6144.16	+	586.696i	−0.496515	+	0.0474114i
$536$	−17649.4	−	3401.65i	−1.42227	−	0.274121i
$537$	16765.5	−	15756.2i	1.34727	−	1.26616i
$538$	−4650.26	+	19168.7i	−0.372653	+	1.53610i
$539$	14520.0	+	16757.0i	1.16034	+	1.33910i
$540$	−461.663	+	1084.43i	−0.0367904	+	0.0864190i
$541$	−3176.33	+	2041.30i	−0.252424	+	0.162223i	−0.660733	−	0.750621i	$-0.729755\pi$
$541$	−3176.33	+	2041.30i	−0.252424	+	0.162223i	0.408310	+	0.912843i	$0.366118\pi$
$542$	2486.18	+	12899.6i	0.197031	+	1.02229i
$543$	12859.3	+	5256.25i	1.01629	+	0.415409i
$544$	−1224.92	−	3059.70i	−0.0965405	−	0.241147i
$545$	582.400	−	3021.78i	0.0457748	−	0.237502i
$546$	1691.45	+	92.8306i	0.132578	+	0.00727616i
$547$	3206.30	−	3057.20i	0.250625	−	0.238970i	−0.554344	−	0.832288i	$-0.687031\pi$
$547$	3206.30	−	3057.20i	0.250625	−	0.238970i	0.804968	+	0.593318i	$0.202182\pi$
$548$	501.673	+	1098.51i	0.0391066	+	0.0856314i
$549$	7214.42	+	1143.94i	0.560845	+	0.0889296i
$550$	−9451.91	+	14707.5i	−0.732783	+	1.14023i
$551$	5363.90	−	9290.54i	0.414718	−	0.718313i
$552$	−13231.4	−	4844.59i	−1.02023	−	0.373549i
$553$	−591.448	−	1024.42i	−0.0454809	−	0.0787752i
$554$	17012.8	+	810.422i	1.30470	+	0.0621508i
$555$	−3841.63	−	27.7654i	−0.293816	−	0.00212356i
$556$	4235.16	+	404.409i	0.323041	+	0.0308467i
$557$	−3794.33	−	1114.12i	−0.288637	−	0.0847515i	0.134209	−	0.990953i	$-0.457151\pi$
$557$	−3794.33	−	1114.12i	−0.288637	−	0.0847515i	−0.422846	+	0.906202i	$0.638969\pi$
$558$	−533.470	+	2567.61i	−0.0404724	+	0.194795i
$559$	−20606.3	−	17855.5i	−1.55913	−	1.35100i
$560$	209.889	−	266.896i	0.0158383	−	0.0201400i
$561$	6930.79	+	8945.52i	0.521601	+	0.673227i
$562$	14474.0	+	5009.50i	1.08639	+	0.376002i
$563$	−2147.42	−	1107.07i	−0.160751	−	0.0828729i	0.375974	−	0.926630i	$-0.377308\pi$
$563$	−2147.42	−	1107.07i	−0.160751	−	0.0828729i	−0.536725	+	0.843757i	$0.680339\pi$
$564$	−5888.10	−	605.219i	−0.439598	−	0.0451849i
$565$	1632.40	−	314.618i	0.121549	−	0.0234267i
$566$	12383.4	−	3636.08i	0.919632	−	0.270028i
$567$	357.800	−	1605.25i	0.0265012	−	0.118896i
$568$	2926.14	−	3376.94i	0.216158	−	0.249460i
$569$	−8001.75	−	11236.9i	−0.589544	−	0.827899i	0.406783	−	0.913525i	$-0.366650\pi$
$569$	−8001.75	−	11236.9i	−0.589544	−	0.827899i	−0.996327	+	0.0856258i	$0.972711\pi$
$570$	3327.84	−	2333.68i	0.244540	−	0.171486i
$571$	5248.29	+	3737.29i	0.384648	+	0.273907i	0.755981	−	0.654593i	$-0.227160\pi$
$571$	5248.29	+	3737.29i	0.384648	+	0.273907i	−0.371334	+	0.928500i	$0.621099\pi$
$572$	−7070.51	+	5560.31i	−0.516840	+	0.406448i
$573$	−1799.25	+	8985.44i	−0.131178	+	0.655100i
$574$	−154.094	−	88.9660i	−0.0112051	−	0.00646929i
$575$	8566.21	−	8796.17i	0.621280	−	0.637957i
$576$	3370.60	+	14826.0i	0.243822	+	1.07248i
$577$	12034.1	+	7733.83i	0.868259	+	0.557996i	0.897220	−	0.441585i	$-0.145583\pi$
$577$	12034.1	+	7733.83i	0.868259	+	0.557996i	−0.0289609	+	0.999581i	$0.509220\pi$
$578$	3390.71	−	8469.58i	0.244005	−	0.609495i
$579$	−5234.97	−	18317.4i	−0.375748	−	1.31476i
$580$	991.548	−	240.547i	0.0709858	−	0.0172210i
$581$	−160.028	−	1675.89i	−0.0114270	−	0.119669i
$582$	−2865.43	+	2446.87i	−0.204082	+	0.174272i
$583$	36726.7	+	28882.2i	2.60903	+	2.05177i
$584$	−6218.18	−	21177.2i	−0.440600	−	1.50054i
$585$	2425.72	+	5521.43i	0.171438	+	0.390227i
$586$	−5637.72	−	8772.47i	−0.397427	−	0.618409i
$587$	377.842	−	17.9988i	0.0265676	−	0.00126557i	−0.0342939	−	0.999412i	$-0.510918\pi$
$587$	377.842	−	17.9988i	0.0265676	−	0.00126557i	0.0608615	+	0.998146i	$0.480615\pi$
$588$	−1852.45	+	3530.37i	−0.129921	+	0.247602i
$589$	−2473.38	+	2594.00i	−0.173028	+	0.181467i
$590$	−5131.14	+	2054.20i	−0.358044	+	0.143339i
$591$	−2078.34	+	385.009i	−0.144656	+	0.0267972i
$592$	−6621.75	+	4715.32i	−0.459716	+	0.327362i
$593$	−4181.09	+	14239.5i	−0.289539	+	0.986080i	0.678357	+	0.734732i	$0.262692\pi$
$593$	−4181.09	+	14239.5i	−0.289539	+	0.986080i	−0.967897	+	0.251348i	$0.919126\pi$
$594$	−10601.3	−	19317.4i	−0.732281	−	1.33435i
$595$	274.208	−	39.4252i	0.0188932	−	0.00271643i
$596$	5744.22	−	2961.35i	0.394786	−	0.203526i
$597$	6381.90	+	5093.86i	0.437510	+	0.349209i
$598$	−14244.1	+	7154.01i	−0.974051	+	0.489213i
$599$	−18108.7	+	10455.1i	−1.23523	+	0.713159i	−0.968115	−	0.250506i	$-0.919403\pi$
$599$	−18108.7	+	10455.1i	−1.23523	+	0.713159i	−0.267113	+	0.963665i	$0.586070\pi$
$600$	−13942.4	−	2791.83i	−0.948657	−	0.189960i
$601$	−25704.3	−	10290.5i	−1.74460	−	0.698431i	−0.999505	−	0.0314681i	$-0.989982\pi$
$601$	−25704.3	−	10290.5i	−1.74460	−	0.698431i	−0.745091	−	0.666963i	$-0.767594\pi$
$602$	2218.45	−	1013.13i	0.150195	−	0.0685918i
$603$	8791.18	+	17675.2i	0.593706	+	1.19368i
$604$	−2129.78	+	4663.58i	−0.143476	+	0.314169i
$605$	−3599.50	−	10400.1i	−0.241885	−	0.698882i
$606$	4657.28	−	15447.3i	0.312193	−	1.03549i
$607$	19812.9	+	18891.6i	1.32485	+	1.26324i	0.940391	+	0.340094i	$0.110459\pi$
$607$	19812.9	+	18891.6i	1.32485	+	1.26324i	0.384455	+	0.923144i	$0.374389\pi$
$608$	−2868.76	+	8288.74i	−0.191355	+	0.552883i
$609$	−1299.33	+	582.071i	−0.0864555	+	0.0387302i
$610$	−113.999	−	2393.13i	−0.00756669	−	0.158844i
$611$	−22889.7	+	19834.0i	−1.51558	+	1.31325i
$612$	−1042.75	+	1747.28i	−0.0688737	+	0.115408i
$613$	−2918.43	−	419.607i	−0.192291	−	0.0276473i	0.0454963	−	0.998965i	$-0.485513\pi$
$613$	−2918.43	−	419.607i	−0.192291	−	0.0276473i	−0.237787	+	0.971317i	$0.576422\pi$
$614$	−2726.81	+	943.760i	−0.179227	+	0.0620310i
$615$	34.7132	−	632.503i	0.00227605	−	0.0414715i
$616$	−857.982	−	3536.65i	−0.0561187	−	0.231324i
$617$	−8339.84	+	11711.7i	−0.544164	+	0.764172i	−0.991488	−	0.130200i	$-0.958438\pi$
$617$	−8339.84	+	11711.7i	−0.544164	+	0.764172i	0.447323	+	0.894372i	$0.352377\pi$
$618$	8316.97	+	4882.29i	0.541355	+	0.317790i
$619$	−5544.93	−	10755.7i	−0.360048	−	0.698396i	0.637343	−	0.770580i	$-0.280033\pi$
$619$	−5544.93	−	10755.7i	−0.360048	−	0.698396i	−0.997391	+	0.0721842i	$0.977003\pi$
$620$	−340.889			−0.0220813
$621$	4587.45	+	14779.7i	0.296438	+	0.955052i
$622$	11765.1			0.758421
$623$	838.265	+	1626.01i	0.0539075	+	0.104566i
$624$	11005.0	+	6460.25i	0.706015	+	0.414450i
$625$	6194.57	−	8699.05i	0.396452	−	0.556739i
$626$	−1784.94	−	7357.61i	−0.113962	−	0.469759i
$627$	1650.36	−	30071.0i	0.105118	−	1.91534i
$628$	1074.03	−	371.724i	0.0682458	−	0.0236201i
$629$	−6564.94	−	943.897i	−0.416155	−	0.0598341i
$630$	−539.374	−	7.79705i	−0.0341098	−	0.000493083i
$631$	−1311.19	+	1136.15i	−0.0827219	+	0.0716789i	−0.695240	−	0.718777i	$-0.744702\pi$
$631$	−1311.19	+	1136.15i	−0.0827219	+	0.0716789i	0.612518	+	0.790456i	$0.290157\pi$
$632$	−613.333	−	12875.4i	−0.0386030	−	0.810376i
$633$	10035.0	−	4495.47i	0.630104	−	0.282273i
$634$	2838.32	−	8200.78i	0.177798	−	0.513714i
$635$	3895.34	+	3714.20i	0.243436	+	0.232116i
$636$	−2425.10	+	8043.60i	−0.151197	+	0.501493i
$637$	6672.27	+	19278.3i	0.415016	+	1.19911i
$638$	−7924.30	+	17351.8i	−0.491734	+	1.07675i
$639$	−4898.04	−	304.337i	−0.303229	−	0.0188410i
$640$	1862.71	−	850.671i	0.115047	−	0.0525402i
$641$	4427.09	+	1772.34i	0.272792	+	0.109209i	0.504025	−	0.863689i	$-0.331852\pi$
$641$	4427.09	+	1772.34i	0.272792	+	0.109209i	−0.231233	+	0.972898i	$0.574276\pi$
$642$	20344.9	+	4073.88i	1.25070	+	0.250441i
$643$	18135.5	−	10470.5i	1.11228	−	0.642174i	0.172860	−	0.984946i	$-0.444699\pi$
$643$	18135.5	−	10470.5i	1.11228	−	0.642174i	0.939419	+	0.342772i	$0.111366\pi$
$644$	20.9264	+	564.656i	0.00128046	+	0.0345506i
$645$	6785.96	+	5416.37i	0.414259	+	0.330650i
$646$	6237.08	−	3215.44i	0.379868	−	0.195836i
$647$	20996.9	−	3018.90i	1.27585	−	0.183439i	0.529107	−	0.848555i	$-0.322527\pi$
$647$	20996.9	−	3018.90i	1.27585	−	0.183439i	0.746740	+	0.665116i	$0.231618\pi$
$648$	11481.0	−	13761.3i	0.696013	−	0.834249i
$649$	−11537.7	+	39293.8i	−0.697834	+	2.37660i
$650$	−13102.7	+	9330.37i	−0.790660	+	0.563026i
$651$	467.721	−	86.6447i	0.0281589	−	0.00521640i
$652$	−3256.31	+	1303.63i	−0.195594	+	0.0783038i
$653$	−2383.92	+	2500.19i	−0.142864	+	0.149831i	−0.791278	−	0.611456i	$-0.790584\pi$
$653$	−2383.92	+	2500.19i	−0.142864	+	0.149831i	0.648414	+	0.761288i	$0.275433\pi$
$654$	−4806.81	+	9160.75i	−0.287403	+	0.547727i
$655$	2672.27	−	127.296i	0.159411	−	0.00759368i
$656$	−724.668	−	1127.60i	−0.0431304	−	0.0671121i
$657$	−14344.7	+	19540.3i	−0.851814	+	1.16034i
$658$	−763.239	−	2599.35i	−0.0452191	−	0.154002i
$659$	−1277.68	−	1004.78i	−0.0755258	−	0.0593941i	0.579682	−	0.814843i	$-0.303177\pi$
$659$	−1277.68	−	1004.78i	−0.0755258	−	0.0593941i	−0.655208	+	0.755448i	$0.727419\pi$
$660$	2178.21	−	1860.04i	0.128465	−	0.109700i
$661$	−1152.83	−	12072.9i	−0.0678362	−	0.710413i	−0.963860	−	0.266408i	$-0.914163\pi$
$661$	−1152.83	−	12072.9i	−0.0678362	−	0.710413i	0.896024	−	0.444005i	$-0.146443\pi$
$662$	−18039.9	+	4376.43i	−1.05913	+	0.256941i
$663$	2861.03	+	10010.9i	0.167592	+	0.586411i
$664$	6818.24	−	17031.1i	0.398493	−	0.995386i
$665$	−620.222	−	398.592i	−0.0361672	−	0.0232432i
$666$	12337.7	+	3817.24i	0.717834	+	0.222095i
$667$	7885.66	−	10830.1i	0.457772	−	0.628698i
$668$	−681.661	−	393.557i	−0.0394824	−	0.0227952i
$669$	−1280.02	+	6392.43i	−0.0739739	+	0.369425i
$670$	5089.57	−	4002.48i	0.293473	−	0.230790i
$671$	−14460.3	−	10297.2i	−0.831945	−	0.592425i
$672$	953.078	−	668.356i	0.0547110	−	0.0383666i
$673$	−16006.1	−	22477.5i	−0.916778	−	1.28743i	−0.957551	−	0.288265i	$-0.906921\pi$
$673$	−16006.1	−	22477.5i	−0.916778	−	1.28743i	0.0407730	−	0.999168i	$-0.487018\pi$
$674$	−7302.30	+	8427.30i	−0.417321	+	0.481614i
$675$	6853.32	+	14032.5i	0.390792	+	0.800162i
$676$	−3154.17	+	926.147i	−0.179459	+	0.0526938i
$677$	24055.6	−	4636.33i	1.36563	−	0.263204i	0.546811	−	0.837256i	$-0.315842\pi$
$677$	24055.6	−	4636.33i	1.36563	−	0.263204i	0.818819	+	0.574052i	$0.194629\pi$
$678$	−5559.33	−	571.426i	−0.314904	−	0.0323680i
$679$	607.492	+	313.184i	0.0343349	+	0.0177009i
$680$	2852.75	+	987.346i	0.160879	+	0.0556808i
$681$	19424.6	+	25071.2i	1.09303	+	1.41077i
$682$	3939.67	−	5009.70i	0.221199	−	0.281277i
$683$	−8534.19	−	7394.92i	−0.478114	−	0.414288i	0.382179	−	0.924088i	$-0.375174\pi$
$683$	−8534.19	−	7394.92i	−0.478114	−	0.414288i	−0.860293	+	0.509800i	$0.829719\pi$
$684$	5142.42	−	1696.98i	0.287464	−	0.0948621i
$685$	−1888.03	−	554.375i	−0.105311	−	0.0309220i
$686$	−3660.28	−	349.515i	−0.203718	−	0.0194527i
$687$	−18176.1	−	131.368i	−1.00941	−	0.00729548i
$688$	18351.4	+	874.183i	1.01692	+	0.0484417i
$689$	21494.0	+	37228.7i	1.18847	+	2.05849i
$690$	4440.19	−	2459.32i	0.244978	−	0.135688i
$691$	17292.0	−	29950.5i	0.951978	−	1.64887i	0.210841	−	0.977520i	$-0.432380\pi$
$691$	17292.0	−	29950.5i	0.951978	−	1.64887i	0.741137	−	0.671354i	$-0.234287\pi$
$692$	2461.11	−	3829.57i	0.135199	−	0.210373i
$693$	−2515.87	+	3105.74i	−0.137908	+	0.170241i
$694$	1436.66	+	3145.85i	0.0785805	+	0.172067i
$695$	−5017.05	+	4783.74i	−0.273824	+	0.261090i
$696$	−15491.3	−	850.198i	−0.843673	−	0.0463027i
$697$	206.967	−	1073.85i	0.0112474	−	0.0583572i
$698$	2114.97	+	5282.95i	0.114689	+	0.286479i
$699$	−2150.06	−	878.837i	−0.116342	−	0.0475546i
$700$	107.912	+	559.900i	0.00582670	+	0.0302318i
$701$	−9591.97	+	6164.38i	−0.516810	+	0.332133i	−0.772909	−	0.634517i	$-0.781199\pi$
$701$	−9591.97	+	6164.38i	−0.516810	+	0.332133i	0.256099	+	0.966651i	$0.417563\pi$
$702$	−2449.50	−	20125.2i	−0.131696	−	1.08202i
$703$	11559.0	+	13339.8i	0.620136	+	0.715675i
$704$	8711.38	−	35908.8i	0.466367	−	1.92239i
$705$	7028.06	−	6604.93i	0.375450	−	0.352845i
$706$	−7928.64	−	1528.12i	−0.422660	−	0.0814611i
$707$	−2913.28	+	278.185i	−0.154972	+	0.0147980i
$708$	−7335.20	+	646.965i	−0.389369	+	0.0343424i
$709$	169.134	−	1771.25i	0.00895905	−	0.0938234i	−0.989886	−	0.141862i	$-0.954691\pi$
$709$	169.134	−	1771.25i	0.00895905	−	0.0938234i	0.998845	+	0.0480387i	$0.0152971\pi$
$710$	229.073	+	1593.24i	0.0121084	+	0.0842158i
$711$	−10831.9	+	9115.17i	−0.571350	+	0.480796i
$712$			19934.7i			1.04927i
$713$	−3413.42	+	2895.23i	−0.179290	+	0.152072i
$714$	−920.824	−	139.194i	−0.0482647	−	0.00729583i
$715$	697.379	−	14639.8i	0.0364762	−	0.765730i
$716$	−6214.89	−	7902.87i	−0.324387	−	0.412492i
$717$	−18744.1	+	5356.91i	−0.976303	+	0.279020i
$718$	−13712.5	−	14381.2i	−0.712737	−	0.747497i
$719$	−18548.8	−	8470.93i	−0.962103	−	0.439378i	−0.128480	−	0.991712i	$-0.541010\pi$
$719$	−18548.8	−	8470.93i	−0.962103	−	0.439378i	−0.833623	+	0.552334i	$0.813737\pi$
$720$	−3584.58	−	1914.06i	−0.185541	−	0.0990734i
$721$	248.954	−	1731.51i	0.0128593	−	0.0894383i
$722$	−2193.46	−	532.127i	−0.113064	−	0.0274289i
$723$	3944.95	+	2069.99i	0.202924	+	0.106478i
$724$	2781.72	−	5395.79i	0.142793	−	0.276979i
$725$	6194.83	−	12016.3i	0.317338	−	0.615550i
$726$	1493.25	+	36966.6i	0.0763356	+	1.88975i
$727$	−24007.7	−	5824.20i	−1.22475	−	0.297122i	−0.429314	−	0.903155i	$-0.641245\pi$
$727$	−24007.7	−	5824.20i	−1.22475	−	0.297122i	−0.795439	+	0.606033i	$0.792760\pi$
$728$	476.516	−	3314.24i	0.0242594	−	0.168728i
$729$	−19664.5	−	853.271i	−0.999060	−	0.0433506i
$730$	7232.20	+	3302.83i	0.366679	+	0.167457i
$731$	10344.1	+	10848.6i	0.523379	+	0.548905i
$732$	774.935	−	3096.48i	0.0391290	−	0.156351i
$733$	7344.90	+	9339.80i	0.370109	+	0.470632i	0.935059	−	0.354493i	$-0.115347\pi$
$733$	7344.90	+	9339.80i	0.370109	+	0.470632i	−0.564949	+	0.825126i	$0.691104\pi$
$734$	209.153	−	4390.66i	0.0105177	−	0.220793i
$735$	−2370.74	−	6048.15i	−0.118974	−	0.303523i
$736$	−4655.10	+	9914.91i	−0.233138	+	0.496560i
$737$		−	47975.2i		−	2.39782i
$738$	−725.502	+	2002.09i	−0.0361871	+	0.0998618i
$739$	−1822.22	−	12673.9i	−0.0907059	−	0.630873i	−0.983567	−	0.180542i	$-0.942215\pi$
$739$	−1822.22	−	12673.9i	−0.0907059	−	0.630873i	0.892861	−	0.450331i	$-0.148694\pi$
$740$	−159.578	+	1671.17i	−0.00792729	+	0.0830183i
$741$	11692.5	−	25121.0i	0.579670	−	1.24540i
$742$	−3827.70	+	365.501i	−0.189379	+	0.0180835i
$743$	27481.6	+	5296.65i	1.35694	+	0.261528i	0.815277	−	0.579071i	$-0.196584\pi$
$743$	27481.6	+	5296.65i	1.35694	+	0.261528i	0.541659	+	0.840599i	$0.317797\pi$
$744$	4962.83	+	1496.26i	0.244551	+	0.0737308i
$745$	−2482.60	+	10233.4i	−0.122088	+	0.503252i
$746$	9796.86	+	11306.2i	0.480816	+	0.554891i
$747$	−19412.1	+	5396.39i	−0.950806	+	0.264315i
$748$	4160.03	−	2673.49i	0.203350	−	0.130685i
$749$	−712.261	−	3695.56i	−0.0347469	−	0.180284i
$750$	8596.03	−	6660.01i	0.418510	−	0.324252i
$751$	2449.25	+	6117.92i	0.119007	+	0.297265i	0.975896	−	0.218236i	$-0.0700301\pi$
$751$	2449.25	+	6117.92i	0.119007	+	0.297265i	−0.856889	+	0.515501i	$0.827606\pi$
$752$	3862.23	−	20039.1i	0.187289	−	0.971745i
$753$	15957.5	+	31510.2i	0.772273	+	1.52496i
$754$	−12702.1	+	12111.4i	−0.613505	+	0.584976i
$755$	−3470.27	−	7598.84i	−0.167280	−	0.366291i
$756$	−685.017	−	217.378i	−0.0329548	−	0.0104576i
$757$	−11161.3	+	17367.3i	−0.535884	+	0.833851i	−0.998613	−	0.0526484i	$-0.983234\pi$
$757$	−11161.3	+	17367.3i	−0.535884	+	0.833851i	0.462730	+	0.886500i	$0.346870\pi$
$758$	−6350.37	+	10999.2i	−0.304295	+	0.527055i
$759$	6013.44	−	37125.0i	0.287581	−	1.77543i
$760$	−4016.97	−	6957.59i	−0.191725	−	0.332077i
$761$	9090.87	+	433.051i	0.433040	+	0.0206283i	0.262971	−	0.964804i	$-0.415298\pi$
$761$	9090.87	+	433.051i	0.433040	+	0.0206283i	0.170070	+	0.985432i	$0.445601\pi$
$762$	−8933.33	−	15734.5i	−0.424699	−	0.748033i
$763$	1868.01	+	178.373i	0.0886323	+	0.00846335i
$764$	3842.23	+	1128.18i	0.181946	+	0.0534243i
$765$	−1038.98	−	3148.46i	−0.0491039	−	0.148801i
$766$	−7504.40	−	6502.60i	−0.353975	−	0.306721i
$767$	−23291.6	+	29617.7i	−1.09649	+	1.39431i
$768$	16372.9	−	2233.41i	0.769279	−	0.104937i
$769$	−15759.3	−	5454.36i	−0.739007	−	0.255773i	−0.0684746	−	0.997653i	$-0.521813\pi$
$769$	−15759.3	−	5454.36i	−0.739007	−	0.255773i	−0.670533	+	0.741880i	$0.733934\pi$
$770$	1165.23	+	600.715i	0.0545348	+	0.0281146i
$771$	−1876.11	−	4187.95i	−0.0876350	−	0.195623i
$772$	−8174.44	+	1575.49i	−0.381094	+	0.0734498i
$773$	10944.6	−	3213.62i	0.509249	−	0.149529i	−0.0170068	−	0.999855i	$-0.505414\pi$
$773$	10944.6	−	3213.62i	0.509249	−	0.149529i	0.526256	+	0.850326i	$0.323596\pi$
$774$	−16585.3	−	24018.2i	−0.770216	−	1.11539i
$775$	−2957.87	+	3413.56i	−0.137097	+	0.158218i
$776$	4320.14	+	6066.78i	0.199850	+	0.280651i
$777$	−205.816	−	2333.52i	−0.00950273	−	0.107741i
$778$	11606.8	+	8265.18i	0.534865	+	0.380875i
$779$	−2287.77	+	1799.12i	−0.105222	+	0.0827474i
$780$	2496.58	−	843.919i	0.114605	−	0.0387399i
$781$	10328.6	+	5963.24i	0.473224	+	0.273216i
$782$	8169.16	−	3170.80i	0.373566	−	0.144997i
$783$	9580.57	+	14090.9i	0.437269	+	0.643126i
$784$	−11563.8	−	7431.59i	−0.526776	−	0.338538i
$785$	−688.272	+	1719.22i	−0.0312936	+	0.0781676i
$786$	−8724.50	−	2183.43i	−0.395919	−	0.0990842i
$787$	4323.49	−	1048.87i	0.195827	−	0.0475071i	−0.136646	−	0.990620i	$-0.543632\pi$
$787$	4323.49	−	1048.87i	0.195827	−	0.0475071i	0.332473	+	0.943113i	$0.392117\pi$
$788$	87.7988	+	919.471i	0.00396917	+	0.0415670i
$789$	17455.6	+	6183.08i	0.787626	+	0.278990i
$790$	3649.93	+	2870.34i	0.164378	+	0.129268i
$791$	285.594	+	972.645i	0.0128376	+	0.0437209i
$792$	−39875.8	+	17518.6i	−1.78905	+	0.785979i
$793$	−8830.25	−	13740.1i	−0.395424	−	0.615292i
$794$	12371.3	−	589.316i	0.552947	−	0.0263401i
$795$	−7317.40	−	11569.1i	−0.326442	−	0.516117i
$796$	2462.35	−	2582.43i	0.109643	−	0.114990i
$797$	−660.868	+	264.571i	−0.0293716	+	0.0117586i	−0.386302	−	0.922372i	$-0.626248\pi$
$797$	−660.868	+	264.571i	−0.0293716	+	0.0117586i	0.356930	+	0.934131i	$0.383823\pi$
$798$	1609.46	+	1884.77i	0.0713962	+	0.0836090i
$799$	13563.3	−	9658.36i	0.600543	−	0.427645i
$800$	−3114.10	+	10605.6i	−0.137625	+	0.468707i
$801$	17403.6	−	13283.7i	0.767696	−	0.585964i
$802$	−21132.0	+	3038.32i	−0.930419	+	0.133774i
$803$	52361.7	−	26994.4i	2.30113	−	1.18631i
$804$	8031.44	−	3148.15i	0.352297	−	0.138093i
$805$	−717.658	−	576.736i	−0.0314212	−	0.0252513i
$806$	5078.17	−	2931.88i	0.221924	−	0.128128i
$807$	−13712.0	−	40564.3i	−0.598121	−	1.76943i
$808$	−29606.1	−	11852.5i	−1.28903	−	0.516051i
$809$	−815.959	+	372.636i	−0.0354606	+	0.0161943i	−0.433066	−	0.901362i	$-0.642568\pi$
$809$	−815.959	+	372.636i	−0.0354606	+	0.0161943i	0.397606	+	0.917556i	$0.369841\pi$
$810$	1038.04	+	6371.90i	0.0450283	+	0.276402i
$811$	6227.46	−	13636.2i	0.269637	−	0.590422i	−0.725577	−	0.688141i	$-0.758427\pi$
$811$	6227.46	−	13636.2i	0.269637	−	0.590422i	0.995214	+	0.0977183i	$0.0311544\pi$
$812$	203.487	+	587.937i	0.00879433	+	0.0254095i
$813$	−19530.2	−	20781.3i	−0.842501	−	0.896474i
$814$	−22715.3	−	21659.0i	−0.978097	−	0.932613i
$815$	1869.27	−	5400.90i	0.0803407	−	0.232129i
$816$	−5685.10	−	4110.58i	−0.243895	−	0.176347i
$817$	−1898.16	−	39847.3i	−0.0812830	−	1.70634i
$818$	6929.36	−	6004.32i	0.296185	−	0.256646i
$819$	−3210.96	+	1792.47i	−0.136997	+	0.0764763i
$820$	−273.992	−	39.3941i	−0.0116686	−	0.00167769i
$821$	−3806.35	+	1317.39i	−0.161806	+	0.0560016i	−0.406770	−	0.913531i	$-0.633345\pi$
$821$	−3806.35	+	1317.39i	−0.161806	+	0.0560016i	0.244964	+	0.969532i	$0.421224\pi$
$822$	5538.85	+	3616.43i	0.235024	+	0.153452i
$823$	8754.76	+	36087.6i	0.370804	+	1.52848i	0.785701	+	0.618607i	$0.212303\pi$
$823$	8754.76	+	36087.6i	0.370804	+	1.52848i	−0.414897	+	0.909868i	$0.636182\pi$
$824$	11057.3	−	15527.8i	0.467474	−	0.656475i
$825$	274.294	−	37951.4i	0.0115754	−	1.60157i
$826$	−1544.33	−	2995.59i	−0.0650536	−	0.126186i
$827$	−12135.2			−0.510257			−0.255128	−	0.966907i	$-0.582118\pi$
$827$	−12135.2			−0.510257			−0.255128	+	0.966907i	$0.582118\pi$
$828$	6609.63	−	1429.45i	0.277416	−	0.0599963i
$829$	−29927.2			−1.25382			−0.626908	−	0.779093i	$-0.715680\pi$
$829$	−29927.2			−1.25382			−0.626908	+	0.779093i	$0.715680\pi$
$830$	3028.18	+	5873.86i	0.126638	+	0.245644i
$831$	−32153.3	+	18255.2i	−1.34222	+	0.762051i
$832$	19720.0	−	27692.9i	0.821716	−	1.15394i
$833$	−2644.08	−	10899.0i	−0.109978	−	0.453337i
$834$	20790.0	−	10528.5i	0.863187	−	0.437136i
$835$	1211.99	−	419.473i	0.0502307	−	0.0173850i
$836$	−13026.4	−	1872.91i	−0.538907	−	0.0774831i
$837$	−2000.76	−	5329.75i	−0.0826243	−	0.220100i
$838$	−1353.57	+	1172.88i	−0.0557976	+	0.0483489i
$839$	−642.190	−	13481.2i	−0.0264254	−	0.554737i	−0.972797	−	0.231658i	$-0.925585\pi$
$839$	−642.190	−	13481.2i	−0.0264254	−	0.554737i	0.946372	−	0.323079i	$-0.104718\pi$
$840$	−109.020	+	1060.64i	−0.00447803	+	0.0435662i
$841$	−3152.33	+	9108.06i	−0.129252	+	0.373449i
$842$	23215.6	+	22136.0i	0.950193	+	0.906007i
$843$	−32368.1	+	7605.13i	−1.32244	+	0.310717i
$844$	−1571.58	−	4540.78i	−0.0640947	−	0.185190i
$845$	2225.12	−	4872.33i	0.0905875	−	0.198359i
$846$	−29029.9	+	14438.7i	−1.17975	+	0.586776i
$847$	6104.32	−	2787.75i	0.247635	−	0.113091i
$848$	−26890.9	−	10765.5i	−1.08896	−	0.435953i
$849$	−18499.9	+	21040.9i	−0.747840	+	0.850554i
$850$	7658.25	−	4421.49i	0.309030	−	0.178419i
$851$	12595.7	+	18089.3i	0.507372	+	0.728663i
$852$	−320.526	+	2120.40i	−0.0128886	+	0.0852627i
$853$	7311.74	−	3769.47i	0.293493	−	0.151306i	−0.305192	−	0.952291i	$-0.598721\pi$
$853$	7311.74	−	3769.47i	0.293493	−	0.151306i	0.598685	+	0.800985i	$0.295690\pi$
$854$	1446.05	−	207.910i	0.0579423	−	0.00833084i
$855$	−3397.43	+	8143.21i	−0.135894	+	0.325721i
$856$	11554.3	−	39350.5i	0.461355	−	1.57123i
$857$	2400.67	−	1709.51i	0.0956888	−	0.0681397i	−0.531211	−	0.847240i	$-0.678263\pi$
$857$	2400.67	−	1709.51i	0.0956888	−	0.0681397i	0.626900	+	0.779100i	$0.284323\pi$
$858$	−16450.9	+	46442.9i	−0.654572	+	1.84794i
$859$	19238.0	−	7701.75i	0.764136	−	0.305914i	0.0433396	−	0.999060i	$-0.486200\pi$
$859$	19238.0	−	7701.75i	0.764136	−	0.305914i	0.720797	+	0.693146i	$0.243776\pi$
$860$	2618.25	−	2745.94i	0.103816	−	0.108879i
$861$	385.948	−	15.5902i	0.0152765	−	0.000617086i
$862$	−20257.8	+	964.999i	−0.800446	+	0.0381299i
$863$	14070.7	+	21894.5i	0.555010	+	0.863613i	0.999482	−	0.0321802i	$-0.0102450\pi$
$863$	14070.7	+	21894.5i	0.555010	+	0.863613i	−0.444472	+	0.895793i	$0.646609\pi$
$864$	−9871.95	−	9830.22i	−0.388716	−	0.387073i
$865$	2089.72	+	7116.93i	0.0821417	+	0.279749i
$866$	9332.31	+	7339.01i	0.366195	+	0.287979i
$867$	3607.44	+	19473.5i	0.141309	+	0.762808i
$868$	−19.7587	−	206.923i	−0.000772645	−	0.00809150i
$869$	33435.1	−	8111.27i	1.30519	−	0.316635i
$870$	3885.85	−	4016.83i	0.151428	−	0.156533i
$871$	16405.3	−	40978.4i	0.638199	−	1.59414i
$872$	17202.2	+	11055.2i	0.668051	+	0.429330i
$873$	2417.70	−	7814.28i	0.0937307	−	0.302948i
$874$	−21956.6	−	7859.76i	−0.849763	−	0.304188i
$875$	−1708.18	−	986.219i	−0.0659967	−	0.0381032i
$876$	7955.06	+	6994.39i	0.306822	+	0.269770i
$877$	−22444.0	+	17650.1i	−0.864172	+	0.679592i	−0.948476	−	0.316848i	$-0.897376\pi$
$877$	−22444.0	+	17650.1i	−0.864172	+	0.679592i	0.0843043	+	0.996440i	$0.473133\pi$
$878$	−2322.93	−	1654.15i	−0.0892882	−	0.0635818i
$879$	20523.1	+	9552.43i	0.787515	+	0.366548i
$880$	5728.42	+	8044.44i	0.219437	+	0.308157i
$881$	18039.3	−	20818.5i	0.689852	−	0.796131i	−0.297492	−	0.954724i	$-0.596150\pi$
$881$	18039.3	−	20818.5i	0.689852	−	0.796131i	0.987344	+	0.158593i	$0.0506957\pi$
$882$	1761.42	+	21767.1i	0.0672449	+	0.830995i
$883$	−9487.05	+	2785.65i	−0.361568	+	0.106166i	−0.457471	−	0.889225i	$-0.651244\pi$
$883$	−9487.05	+	2785.65i	−0.361568	+	0.106166i	0.0959025	+	0.995391i	$0.469426\pi$
$884$	4467.52	−	861.044i	0.169976	−	0.0327602i
$885$	7030.20	−	9723.04i	0.267025	−	0.369307i
$886$	2740.35	+	1412.75i	0.103910	+	0.0535691i
$887$	33085.6	+	11451.0i	1.25243	+	0.433470i	0.871162	−	0.490995i	$-0.163367\pi$
$887$	33085.6	+	11451.0i	1.25243	+	0.433470i	0.381267	+	0.924465i	$0.375488\pi$
$888$	9658.50	−	23629.4i	0.364998	−	0.892961i
$889$	−2028.77	+	2579.79i	−0.0765387	+	0.0973268i
$890$	−5427.07	−	4702.58i	−0.204400	−	0.177113i
$891$	41866.0	+	23139.0i	1.57414	+	0.870018i
$892$	2733.44	+	802.611i	0.102604	+	0.0301271i
$893$	−44112.2	−	4212.20i	−1.65303	−	0.157845i
$894$	17920.9	−	30528.2i	0.670429	−	1.14207i
$895$	16363.2	+	779.477i	0.611131	+	0.0291118i
$896$	624.334	+	1081.38i	0.0232785	+	0.0403195i
$897$	17831.4	−	29654.3i	0.663739	−	1.10382i
$898$	−3789.26	+	6563.20i	−0.140812	+	0.243894i
$899$	−2664.45	+	4145.96i	−0.0988479	+	0.153810i
$900$	6371.37	−	2444.46i	0.235977	−	0.0905356i
$901$	−9817.49	−	21497.3i	−0.363006	−	0.794871i
$902$	3745.48	−	3571.31i	0.138260	−	0.131831i
$903$	−2894.46	+	4433.10i	−0.106669	+	0.163371i
$904$	−2090.54	+	10846.8i	−0.0769142	+	0.399069i
$905$	3676.29	+	9182.94i	0.135032	+	0.337294i
$906$	3795.60	+	27825.2i	0.139184	+	1.02034i
$907$	6935.13	+	35982.9i	0.253889	+	1.31730i	0.855205	+	0.518289i	$0.173431\pi$
$907$	6935.13	+	35982.9i	0.253889	+	1.31730i	−0.601317	+	0.799011i	$0.705357\pi$
$908$	11659.1	−	7492.86i	0.426125	−	0.273854i
$909$	9380.82	+	33745.1i	0.342291	+	1.23130i
$910$	789.868	+	911.557i	0.0287735	+	0.0332064i
$911$	−3154.12	+	13001.4i	−0.114710	+	0.472840i	0.885260	+	0.465096i	$0.153980\pi$
$911$	−3154.12	+	13001.4i	−0.114710	+	0.472840i	−0.999970	+	0.00774403i	$0.997535\pi$
$912$	4270.48	+	18175.5i	0.155055	+	0.659925i
$913$	48080.6	+	9266.78i	1.74287	+	0.335910i
$914$	−15332.0	+	1464.03i	−0.554856	+	0.0529823i
$915$	2986.18	+	4258.31i	0.107891	+	0.153853i
$916$	−755.019	+	7906.91i	−0.0272342	+	0.285209i
$917$	232.161	+	1614.72i	0.00836057	+	0.0581490i
$918$	288.837	+	11141.9i	0.0103846	+	0.400584i
$919$		−	19427.6i		−	0.697341i	−0.937245	−	0.348670i	$-0.886633\pi$
$919$		−	19427.6i		−	0.697341i	0.937245	−	0.348670i	$-0.113367\pi$
$920$	−4071.17	−	9169.55i	−0.145894	−	0.328599i
$921$	3907.64	−	4895.73i	0.139806	−	0.175157i
$922$	−114.109	+	2395.45i	−0.00407591	+	0.0855638i
$923$	6783.12	+	8625.44i	0.241895	+	0.307595i
$924$	1255.32	+	1214.38i	0.0446936	+	0.0432362i
$925$	15350.0	+	16098.6i	0.545627	+	0.572237i
$926$	5573.01	+	2545.11i	0.197776	+	0.0903213i
$927$	−20924.3	+	693.795i	−0.741365	+	0.0245817i
$928$	−1716.38	+	11937.7i	−0.0607143	+	0.422277i
$929$	16047.4	+	3893.05i	0.566736	+	0.137489i	0.508882	−	0.860836i	$-0.330059\pi$
$929$	16047.4	+	3893.05i	0.566736	+	0.137489i	0.0578541	+	0.998325i	$0.481574\pi$
$930$	−1578.08	+	998.127i	−0.0556422	+	0.0351934i
$931$	−13676.8	+	26529.2i	−0.481459	+	0.933900i
$932$	−465.100	+	902.168i	−0.0163464	+	0.0317076i
$933$	−21585.0	+	13652.4i	−0.757408	+	0.479058i
$934$	−16244.4	−	3940.85i	−0.569093	−	0.138060i
$935$	−1146.69	+	7975.44i	−0.0401079	+	0.278957i
$936$	−40050.7	+	1327.97i	−1.39861	+	0.0463741i
$937$	−37762.3	−	17245.5i	−1.31658	−	0.601264i	−0.371604	−	0.928391i	$-0.621192\pi$
$937$	−37762.3	−	17245.5i	−1.31658	−	0.601264i	−0.944980	+	0.327127i	$0.893919\pi$
$938$	2724.55	+	2857.43i	0.0948398	+	0.0994651i
$939$	11812.7	+	11427.5i	0.410534	+	0.397147i
$940$	−2605.26	−	3312.86i	−0.0903981	−	0.114951i
$941$	−2240.10	+	47025.5i	−0.0776038	+	1.62910i	0.539334	+	0.842092i	$0.318676\pi$
$941$	−2240.10	+	47025.5i	−0.0776038	+	1.62910i	−0.616938	+	0.787012i	$0.711627\pi$
$942$	3883.58	−	4865.59i	0.134325	−	0.168290i
$943$	−3078.15	+	1932.60i	−0.106297	+	0.0667381i
$944$		−	25388.5i		−	0.875344i
$945$	998.618	−	611.594i	0.0343757	−	0.0210531i
$946$	10095.1	+	70212.7i	0.346955	+	2.41312i
$947$	−4466.45	+	46774.8i	−0.153263	+	1.60504i	0.512369	+	0.858765i	$0.328768\pi$
$947$	−4466.45	+	46774.8i	−0.153263	+	1.60504i	−0.665633	+	0.746280i	$0.731838\pi$
$948$	3551.91	+	5065.04i	0.121689	+	0.173528i
$949$	53955.9	−	5152.16i	1.84561	−	0.176234i
$950$	−23108.7	−	4453.84i	−0.789206	−	0.152107i
$951$	4308.97	+	18339.3i	0.146927	+	0.625334i
$952$	−433.977	+	1788.88i	−0.0147744	+	0.0609011i
$953$	−23856.5	−	27531.9i	−0.810901	−	0.935830i	0.188025	−	0.982164i	$-0.439791\pi$
$953$	−23856.5	−	27531.9i	−0.810901	−	0.935830i	−0.998926	+	0.0463347i	$0.985246\pi$
$954$	12325.3	+	44337.0i	0.418287	+	1.50468i
$955$	−5489.05	+	3527.60i	−0.185991	+	0.119529i
$956$	1612.19	+	8364.85i	0.0545419	+	0.282990i
$957$	−5596.89	−	41030.2i	−0.189051	−	1.38591i
$958$	−7774.58	−	19420.0i	−0.262197	−	0.654938i
$959$	227.077	−	1178.18i	0.00764618	−	0.0396721i
$960$	−5918.53	+	9064.69i	−0.198979	+	0.304752i
$961$	−20369.1	+	19421.9i	−0.683733	+	0.651938i
$962$	−11996.1	−	26267.7i	−0.402046	−	0.880359i
$963$	−42053.5	+	16134.4i	−1.40722	+	0.539900i
$964$	1052.51	−	1637.74i	0.0351650	−	0.0547179i
$965$	6782.29	−	11747.3i	0.226248	−	0.391874i
$966$	1750.20	+	2552.69i	0.0582936	+	0.0850222i
$967$	−2871.50	−	4973.58i	−0.0954925	−	0.165398i	0.814322	−	0.580414i	$-0.197109\pi$
$967$	−2871.50	−	4973.58i	−0.0954925	−	0.165398i	−0.909814	+	0.415016i	$0.863776\pi$
$968$	73044.4	+	3479.54i	2.42535	+	0.115534i
$969$	−7711.70	+	13136.9i	−0.255661	+	0.435518i
$970$	−2670.76	−	255.026i	−0.0884049	−	0.00844165i
$971$	−26295.6	−	7721.08i	−0.869069	−	0.255182i	−0.183349	−	0.983048i	$-0.558694\pi$
$971$	−26295.6	−	7721.08i	−0.869069	−	0.255182i	−0.685719	+	0.727866i	$0.740512\pi$
$972$	−1126.40	+	8527.08i	−0.0371701	+	0.281385i
$973$	−3194.58	−	2768.12i	−0.105255	−	0.0912044i
$974$	26859.2	−	34154.3i	0.883599	−	1.12359i
$975$	13211.9	−	32322.7i	0.433968	−	1.06170i
$976$	10400.0	+	3599.48i	0.341082	+	0.118050i
$977$	7916.25	+	4081.11i	0.259225	+	0.133640i	0.582941	−	0.812514i	$-0.301902\pi$
$977$	7916.25	+	4081.11i	0.259225	+	0.133640i	−0.323716	+	0.946154i	$0.604932\pi$
$978$	−11257.4	+	15569.4i	−0.368070	+	0.509055i
$979$	−52246.3	+	10069.6i	−1.70562	+	0.328731i
$980$	−2723.75	+	799.764i	−0.0887825	+	0.0260689i
$981$	−1811.40	−	22384.8i	−0.0589537	−	0.728534i
$982$	−13345.0	+	15401.0i	−0.433662	+	0.500473i
$983$	11576.1	+	16256.4i	0.375605	+	0.527464i	0.958503	−	0.285081i	$-0.0920207\pi$
$983$	11576.1	+	16256.4i	0.375605	+	0.527464i	−0.582898	+	0.812545i	$0.698081\pi$
$984$	3816.01	+	1776.16i	0.123628	+	0.0575424i
$985$	−1225.94	−	872.987i	−0.0396565	−	0.0282393i
$986$	7584.35	−	5964.40i	0.244965	−	0.192642i
$987$	4416.62	+	3883.27i	0.142434	+	0.125234i
$988$	−10486.1	−	6054.16i	−0.337659	−	0.194948i
$989$	2895.56	−	49733.1i	0.0930975	−	1.59901i
$990$	4637.38	−	14988.5i	0.148874	−	0.481178i
$991$	−31143.1	−	20014.4i	−0.998277	−	0.641554i	−0.0639433	−	0.997954i	$-0.520368\pi$
$991$	−31143.1	−	20014.4i	−0.998277	−	0.641554i	−0.934333	+	0.356400i	$0.884004\pi$
$992$	1497.59	−	3740.80i	0.0479319	−	0.119728i
$993$	28018.7	−	28963.1i	0.895414	−	0.925596i
$994$	−953.835	+	231.398i	−0.0304364	+	0.00738380i
$995$	552.660	+	5787.72i	0.0176085	+	0.184405i
$996$	1603.73	+	8657.16i	0.0510202	+	0.275414i
$997$	39342.6	+	30939.3i	1.24974	+	0.982807i	0.999895	+	0.0145221i	$0.00462269\pi$
$997$	39342.6	+	30939.3i	1.24974	+	0.982807i	0.249847	+	0.968285i	$0.419620\pi$
$998$	12336.7	+	42015.0i	0.391294	+	1.33263i
$999$	−27065.2	+	7313.57i	−0.857162	+	0.231623i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	207.4.o.a.182.23	yes	1400
9.5	odd	6	inner	207.4.o.a.113.23	yes	1400
23.11	odd	22	inner	207.4.o.a.11.23	✓	1400
207.149	even	66	inner	207.4.o.a.149.23	yes	1400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
207.4.o.a.11.23	✓	1400	23.11	odd	22	inner
207.4.o.a.113.23	yes	1400	9.5	odd	6	inner
207.4.o.a.149.23	yes	1400	207.149	even	66	inner
207.4.o.a.182.23	yes	1400	1.1	even	1	trivial

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+(-1.09682 - 2.12752i) q^{2} +(4.48111 + 2.63053i) q^{3} +(1.31710 - 1.84961i) q^{4} +(0.872256 + 3.59549i) q^{5} +(0.681576 - 12.4189i) q^{6} +(-2.13194 + 0.737871i) q^{7} +(-24.3337 - 3.49865i) q^{8} +(13.1606 + 23.5754i) q^{9} +(6.69278 - 5.79933i) q^{10} +(-3.12219 - 65.5428i) q^{11} +(10.7675 - 4.82361i) q^{12} +(19.7457 - 57.0514i) q^{13} +(3.90818 + 3.72644i) q^{14} +(-5.54937 + 18.4063i) q^{15} +(13.3048 + 38.4418i) q^{16} +(-13.7876 + 30.1905i) q^{17} +(35.7224 - 53.8574i) q^{18} +(80.3466 - 36.6931i) q^{19} +(7.79908 + 3.12228i) q^{20} +(-11.4944 - 2.30165i) q^{21} +(-136.019 + 78.5308i) q^{22} +(104.613 - 34.9746i) q^{23} +(-99.8384 - 79.6883i) q^{24} +(98.9377 - 51.0059i) q^{25} +(-143.036 + 20.5654i) q^{26} +(-3.04168 + 140.263i) q^{27} +(-1.44320 + 4.91510i) q^{28} +(98.9328 - 70.4497i) q^{29} +(45.2464 - 8.38183i) q^{30} +(-37.6712 + 15.0813i) q^{31} +(-68.5256 + 71.8676i) q^{32} +(158.421 - 301.917i) q^{33} +(79.3535 - 3.78007i) q^{34} +(-4.51260 - 7.02175i) q^{35} +(60.9390 + 6.70914i) q^{36} +(56.2997 + 191.739i) q^{37} +(-166.191 - 130.694i) q^{38} +(238.558 - 203.712i) q^{39} +(-8.64581 - 90.5431i) q^{40} +(-32.0214 + 7.76831i) q^{41} +(7.71045 + 26.9792i) q^{42} +(167.856 - 419.285i) q^{43} +(-125.340 - 80.5514i) q^{44} +(-73.2855 + 67.8826i) q^{45} +(-189.150 - 184.205i) q^{46} +(-434.469 - 250.841i) q^{47} +(-41.5020 + 207.261i) q^{48} +(-265.616 + 208.882i) q^{49} +(-217.033 - 154.548i) q^{50} +(-141.201 + 99.0183i) q^{51} +(-79.5156 - 111.664i) q^{52} +(-466.297 + 538.135i) q^{53} +(301.749 - 147.371i) q^{54} +(232.935 - 68.3958i) q^{55} +(54.4594 - 10.4962i) q^{56} +(456.564 + 46.9288i) q^{57} +(-258.394 - 133.212i) q^{58} +(-589.790 - 204.128i) q^{59} +(26.7352 + 34.5070i) q^{60} +(167.236 - 212.658i) q^{61} +(73.4041 + 63.6051i) q^{62} +(-45.4532 - 40.5504i) q^{63} +(540.311 + 158.650i) q^{64} +(222.351 + 21.2319i) q^{65} +(-816.095 - 5.89832i) q^{66} +(730.311 + 34.7890i) q^{67} +(37.6810 + 65.2654i) q^{68} +(560.781 + 118.462i) q^{69} +(-9.98945 + 17.3022i) q^{70} +(-98.2662 + 152.905i) q^{71} +(-237.764 - 619.720i) q^{72} +(372.956 + 816.660i) q^{73} +(346.180 - 330.082i) q^{74} +(577.523 + 31.6958i) q^{75} +(37.9567 - 196.938i) q^{76} +(55.0184 + 137.429i) q^{77} +(-695.056 - 284.104i) q^{78} +(99.2299 + 514.854i) q^{79} +(-126.612 + 81.3685i) q^{80} +(-382.597 + 620.533i) q^{81} +(51.6488 + 59.6059i) q^{82} +(-175.931 + 725.196i) q^{83} +(-19.3965 + 18.2287i) q^{84} +(-120.576 - 23.2391i) q^{85} +(-1076.15 + 102.759i) q^{86} +(628.648 - 55.4468i) q^{87} +(-153.337 + 1605.82i) q^{88} +(-115.401 - 802.630i) q^{89} +(224.803 + 81.4622i) q^{90} +136.200i q^{91} +(73.0958 - 239.557i) q^{92} +(-208.480 - 31.5145i) q^{93} +(-57.1377 + 1199.47i) q^{94} +(202.012 + 256.879i) q^{95} +(-496.121 + 141.788i) q^{96} +(-209.062 - 219.258i) q^{97} +(735.733 + 335.998i) q^{98} +(1504.11 - 936.190i) 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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