LMFDB - Embedded newform 175.4.x.a.17.26

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [175,4,Mod(3,175)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(175, base_ring=CyclotomicField(60))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("175.3");

S:= CuspForms(chi, 4);

N := Newforms(S);

Level:	$ N $	$=$	$ 175 = 5^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 4 $
Character orbit:	$[\chi]$	$=$	175.x (of order $60$, degree $16$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$10.3253342510$
Analytic rank:	$0$
Dimension:	$928$
Relative dimension:	$58$ over $\Q(\zeta_{60})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label			17.26
Character	$\chi$	$=$	175.17
Dual form			175.4.x.a.103.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	\(q+(-0.757961 + 0.0397231i) q^{2} +(-6.12747 + 7.56679i) q^{3} +(-7.38325 + 0.776011i) q^{4} +(10.8983 - 2.49552i) q^{5} +(4.34381 - 5.97873i) q^{6} +(2.54741 - 18.3442i) q^{7} +(11.5626 - 1.83134i) q^{8} +(-14.0969 - 66.3205i) q^{9} +(-8.16134 + 2.32442i) q^{10} +(32.3675 + 6.87992i) q^{11} +(39.3687 - 60.6225i) q^{12} +(-26.8007 + 13.6556i) q^{13} +(-1.20215 + 14.0054i) q^{14} +(-47.8957 + 97.7562i) q^{15} +(49.4022 - 10.5008i) q^{16} +(-20.5510 + 53.5371i) q^{17} +(13.3193 + 49.7084i) q^{18} +(7.59237 - 72.2366i) q^{19} +(-78.5281 + 26.8822i) q^{20} +(123.198 + 131.679i) q^{21} +(-24.8066 - 3.92898i) q^{22} +(2.68398 + 51.2135i) q^{23} +(-56.9923 + 98.7136i) q^{24} +(112.545 - 54.3937i) q^{25} +(19.7715 - 11.4151i) q^{26} +(353.975 + 180.359i) q^{27} +(-4.57285 + 137.417i) q^{28} +(132.793 + 182.775i) q^{29} +(32.4199 - 75.9979i) q^{30} +(-109.713 - 246.419i) q^{31} +(-127.491 + 34.1611i) q^{32} +(-250.390 + 202.762i) q^{33} +(13.4502 - 41.3954i) q^{34} +(-18.0160 - 206.278i) q^{35} +(155.546 + 478.721i) q^{36} +(233.258 + 151.480i) q^{37} +(-2.88526 + 55.0541i) q^{38} +(60.8911 - 286.470i) q^{39} +(121.443 - 48.8133i) q^{40} +(-145.309 - 47.2138i) q^{41} +(-98.6098 - 94.9140i) q^{42} +(234.929 - 234.929i) q^{43} +(-244.316 - 25.6787i) q^{44} +(-319.136 - 687.600i) q^{45} +(-4.06871 - 38.7112i) q^{46} +(276.801 - 106.254i) q^{47} +(-223.253 + 438.159i) q^{48} +(-330.021 - 93.4606i) q^{49} +(-83.1439 + 45.6990i) q^{50} +(-279.179 - 483.552i) q^{51} +(187.279 - 121.621i) q^{52} +(407.159 + 329.711i) q^{53} +(-275.464 - 122.644i) q^{54} +(369.919 - 5.79445i) q^{55} +(-4.13976 - 216.773i) q^{56} +(500.077 + 500.077i) q^{57} +(-107.913 - 133.261i) q^{58} +(371.186 + 412.244i) q^{59} +(277.766 - 758.926i) q^{60} +(79.3325 + 71.4313i) q^{61} +(92.9464 + 182.418i) q^{62} +(-1252.51 + 89.6504i) q^{63} +(-288.995 + 93.9003i) q^{64} +(-258.004 + 215.705i) q^{65} +(181.731 - 163.632i) q^{66} +(-69.2096 - 26.5671i) q^{67} +(110.188 - 411.226i) q^{68} +(-403.968 - 293.500i) q^{69} +(21.8494 + 155.635i) q^{70} +(646.549 - 469.746i) q^{71} +(-284.452 - 741.024i) q^{72} +(382.526 + 589.039i) q^{73} +(-182.818 - 105.550i) q^{74} +(-278.028 + 1184.90i) q^{75} +539.232i q^{76} +(208.660 - 576.231i) q^{77} +(-34.7736 + 219.552i) q^{78} +(194.697 - 437.297i) q^{79} +(512.194 - 237.724i) q^{80} +(-1861.32 + 828.714i) q^{81} +(112.014 + 30.0141i) q^{82} +(67.8602 + 428.453i) q^{83} +(-1011.78 - 876.618i) q^{84} +(-90.3672 + 634.748i) q^{85} +(-168.735 + 187.399i) q^{86} +(-2196.70 - 115.124i) q^{87} +(386.853 + 20.2741i) q^{88} +(85.3692 - 94.8122i) q^{89} +(269.206 + 508.497i) q^{90} +(182.230 + 526.425i) q^{91} +(-59.5587 - 376.039i) q^{92} +(2536.86 + 679.749i) q^{93} +(-205.583 + 91.5316i) q^{94} +(-97.5241 - 806.201i) q^{95} +(522.706 - 1174.02i) q^{96} +(-35.2334 + 222.455i) q^{97} +(253.856 + 57.7300i) q^{98} -2243.61i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) $ 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/175\mathbb{Z}\right)^\times$.

$n$	$101$	$127$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{13}{20}\right)$

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 $

$2$	−0.757961	+	0.0397231i	−0.267980	+	0.0140442i	−0.185853	−	0.982578i	$-0.559505\pi$
$2$	−0.757961	+	0.0397231i	−0.267980	+	0.0140442i	−0.0821272	+	0.996622i	$0.526171\pi$
$3$	−6.12747	+	7.56679i	−1.17923	+	1.45623i	−0.317945	+	0.948109i	$0.602993\pi$
$3$	−6.12747	+	7.56679i	−1.17923	+	1.45623i	−0.861286	+	0.508120i	$0.830341\pi$
$4$	−7.38325	+	0.776011i	−0.922906	+	0.0970013i
$5$	10.8983	−	2.49552i	0.974771	−	0.223206i
$5$	10.8983	−	2.49552i	0.974771	−	0.223206i
$6$	4.34381	−	5.97873i	0.295558	−	0.406801i
$7$	2.54741	−	18.3442i	0.137547	−	0.990495i
$7$	2.54741	−	18.3442i	0.137547	−	0.990495i
$8$	11.5626	−	1.83134i	0.511002	−	0.0809347i
$9$	−14.0969	−	66.3205i	−0.522106	−	2.45631i
$10$	−8.16134	+	2.32442i	−0.258084	+	0.0735046i
$11$	32.3675	+	6.87992i	0.887197	+	0.188580i	0.628900	−	0.777486i	$-0.283505\pi$
$11$	32.3675	+	6.87992i	0.887197	+	0.188580i	0.258297	+	0.966066i	$0.416839\pi$
$12$	39.3687	−	60.6225i	0.947063	−	1.45835i
$13$	−26.8007	+	13.6556i	−0.571783	+	0.291338i	−0.715878	−	0.698226i	$-0.753973\pi$
$13$	−26.8007	+	13.6556i	−0.571783	+	0.291338i	0.144094	+	0.989564i	$0.453973\pi$
$14$	−1.20215	+	14.0054i	−0.0229492	+	0.267364i
$15$	−47.8957	+	97.7562i	−0.824441	+	1.68270i
$16$	49.4022	−	10.5008i	0.771909	−	0.164074i
$17$	−20.5510	+	53.5371i	−0.293197	+	0.763804i	0.705296	+	0.708913i	$0.250814\pi$
$17$	−20.5510	+	53.5371i	−0.293197	+	0.763804i	−0.998492	+	0.0548904i	$0.982519\pi$
$18$	13.3193	+	49.7084i	0.174411	+	0.650910i
$19$	7.59237	−	72.2366i	0.0916742	−	0.872221i	−0.847965	−	0.530053i	$-0.822172\pi$
$19$	7.59237	−	72.2366i	0.0916742	−	0.872221i	0.939639	−	0.342168i	$-0.111161\pi$
$20$	−78.5281	+	26.8822i	−0.877971	+	0.300552i
$21$	123.198	+	131.679i	1.28019	+	1.36832i
$22$	−24.8066	−	3.92898i	−0.240399	−	0.0380755i
$23$	2.68398	+	51.2135i	0.0243326	+	0.464293i	0.983438	+	0.181245i	$0.0580125\pi$
$23$	2.68398	+	51.2135i	0.0243326	+	0.464293i	−0.959105	+	0.283049i	$0.908654\pi$
$24$	−56.9923	+	98.7136i	−0.484730	+	0.839576i
$25$	112.545	−	54.3937i	0.900358	−	0.435150i
$26$	19.7715	−	11.4151i	0.149135	−	0.0861030i
$27$	353.975	+	180.359i	2.52306	+	1.28556i
$28$	−4.57285	+	137.417i	−0.0308639	+	0.927476i
$29$	132.793	+	182.775i	0.850315	+	1.17036i	0.983793	+	0.179306i	$0.0573853\pi$
$29$	132.793	+	182.775i	0.850315	+	1.17036i	−0.133478	+	0.991052i	$0.542615\pi$
$30$	32.4199	−	75.9979i	0.197301	−	0.462509i
$31$	−109.713	−	246.419i	−0.635644	−	1.42768i	−0.887908	−	0.460022i	$-0.847842\pi$
$31$	−109.713	−	246.419i	−0.635644	−	1.42768i	0.252263	−	0.967659i	$-0.418825\pi$
$32$	−127.491	+	34.1611i	−0.704294	+	0.188715i
$33$	−250.390	+	202.762i	−1.32083	+	1.06958i
$34$	13.4502	−	41.3954i	0.0678438	−	0.208802i
$35$	−18.0160	−	206.278i	−0.0870074	−	0.996208i
$36$	155.546	+	478.721i	0.720120	+	2.21630i
$37$	233.258	+	151.480i	1.03642	+	0.673057i	0.946438	−	0.322887i	$-0.104653\pi$
$37$	233.258	+	151.480i	1.03642	+	0.673057i	0.0899789	+	0.995944i	$0.471320\pi$
$38$	−2.88526	+	55.0541i	−0.0123171	+	0.235025i
$39$	60.8911	−	286.470i	0.250010	−	1.17620i
$40$	121.443	−	48.8133i	0.480045	−	0.192951i
$41$	−145.309	−	47.2138i	−0.553499	−	0.179843i	0.0188948	−	0.999821i	$-0.493985\pi$
$41$	−145.309	−	47.2138i	−0.553499	−	0.179843i	−0.572394	+	0.819979i	$0.693985\pi$
$42$	−98.6098	−	94.9140i	−0.362282	−	0.348704i
$43$	234.929	−	234.929i	0.833172	−	0.833172i	−0.154778	−	0.987949i	$-0.549466\pi$
$43$	234.929	−	234.929i	0.833172	−	0.833172i	0.987949	+	0.154778i	$0.0494661\pi$
$44$	−244.316	−	25.6787i	−0.837092	−	0.0879819i
$45$	−319.136	−	687.600i	−1.05720	−	2.27781i
$46$	−4.06871	−	38.7112i	−0.0130413	−	0.124080i
$47$	276.801	−	106.254i	0.859053	−	0.329760i	0.111341	−	0.993782i	$-0.464485\pi$
$47$	276.801	−	106.254i	0.859053	−	0.329760i	0.747713	+	0.664023i	$0.231152\pi$
$48$	−223.253	+	438.159i	−0.671330	+	1.31756i
$49$	−330.021	−	93.4606i	−0.962161	−	0.272480i
$50$	−83.1439	+	45.6990i	−0.235166	+	0.129256i
$51$	−279.179	−	483.552i	−0.766527	−	1.32766i
$52$	187.279	−	121.621i	0.499442	−	0.324341i
$53$	407.159	+	329.711i	1.05524	+	0.854515i	0.989674	−	0.143334i	$-0.0457823\pi$
$53$	407.159	+	329.711i	1.05524	+	0.854515i	0.0655633	+	0.997848i	$0.479116\pi$
$54$	−275.464	−	122.644i	−0.694183	−	0.309070i
$55$	369.919	−	5.79445i	0.906906	−	0.0142059i
$56$	−4.13976	−	216.773i	−0.00987855	−	0.517277i
$57$	500.077	+	500.077i	1.16205	+	1.16205i
$58$	−107.913	−	133.261i	−0.244304	−	0.301690i
$59$	371.186	+	412.244i	0.819055	+	0.909653i	0.997233	−	0.0743452i	$-0.0236867\pi$
$59$	371.186	+	412.244i	0.819055	+	0.909653i	−0.178177	+	0.983998i	$0.557020\pi$
$60$	277.766	−	758.926i	0.597658	−	1.63295i
$61$	79.3325	+	71.4313i	0.166516	+	0.149932i	0.748176	−	0.663500i	$-0.230930\pi$
$61$	79.3325	+	71.4313i	0.166516	+	0.149932i	−0.581660	+	0.813432i	$0.697597\pi$
$62$	92.9464	+	182.418i	0.190390	+	0.373662i
$63$	−1252.51	+	89.6504i	−2.50478	+	0.179284i
$64$	−288.995	+	93.9003i	−0.564444	+	0.183399i
$65$	−258.004	+	215.705i	−0.492329	+	0.411614i
$66$	181.731	−	163.632i	0.338933	−	0.305177i
$67$	−69.2096	−	26.5671i	−0.126198	−	0.0484431i	0.294449	−	0.955667i	$-0.404864\pi$
$67$	−69.2096	−	26.5671i	−0.126198	−	0.0484431i	−0.420648	+	0.907224i	$0.638197\pi$
$68$	110.188	−	411.226i	0.196503	−	0.733360i
$69$	−403.968	−	293.500i	−0.704811	−	0.512075i
$70$	21.8494	+	155.635i	0.0373072	+	0.265742i
$71$	646.549	−	469.746i	1.08072	−	0.785191i	0.102914	−	0.994690i	$-0.467183\pi$
$71$	646.549	−	469.746i	1.08072	−	0.785191i	0.977809	+	0.209499i	$0.0671835\pi$
$72$	−284.452	−	741.024i	−0.465598	−	1.21292i
$73$	382.526	+	589.039i	0.613306	+	0.944408i	0.999756	+	0.0220979i	$0.00703455\pi$
$73$	382.526	+	589.039i	0.613306	+	0.944408i	−0.386450	+	0.922310i	$0.626299\pi$
$74$	−182.818	−	105.550i	−0.287191	−	0.165810i
$75$	−278.028	+	1184.90i	−0.428052	+	1.82427i
$76$			539.232i			0.813871i
$77$	208.660	−	576.231i	0.308819	−	0.852826i
$78$	−34.7736	+	219.552i	−0.0504787	+	0.318710i
$79$	194.697	−	437.297i	0.277280	−	0.622781i	−0.720197	−	0.693770i	$-0.755949\pi$
$79$	194.697	−	437.297i	0.277280	−	0.622781i	0.997477	+	0.0709883i	$0.0226153\pi$
$80$	512.194	−	237.724i	0.715813	−	0.332230i
$81$	−1861.32	+	828.714i	−2.55325	+	1.13678i
$82$	112.014	+	30.0141i	0.150852	+	0.0404208i
$83$	67.8602	+	428.453i	0.0897425	+	0.566612i	0.991056	+	0.133445i	$0.0426040\pi$
$83$	67.8602	+	428.453i	0.0897425	+	0.566612i	−0.901314	+	0.433167i	$0.857396\pi$
$84$	−1011.78	−	876.618i	−1.31422	−	1.13865i
$85$	−90.3672	+	634.748i	−0.115314	+	0.809977i
$86$	−168.735	+	187.399i	−0.211572	+	0.234974i
$87$	−2196.70	−	115.124i	−2.70703	−	0.141869i
$88$	386.853	+	20.2741i	0.468622	+	0.0245594i
$89$	85.3692	−	94.8122i	0.101676	−	0.112922i	−0.690159	−	0.723658i	$-0.742459\pi$
$89$	85.3692	−	94.8122i	0.101676	−	0.112922i	0.791835	+	0.610736i	$0.209126\pi$
$90$	269.206	+	508.497i	0.315298	+	0.595559i
$91$	182.230	+	526.425i	0.209922	+	0.606421i
$92$	−59.5587	−	376.039i	−0.0674938	−	0.426139i
$93$	2536.86	+	679.749i	2.82860	+	0.757921i
$94$	−205.583	+	91.5316i	−0.225578	+	0.100434i
$95$	−97.5241	−	806.201i	−0.105324	−	0.870679i
$96$	522.706	−	1174.02i	0.555713	−	1.24815i
$97$	−35.2334	+	222.455i	−0.0368806	+	0.232855i	−0.999242	−	0.0389165i	$-0.987609\pi$
$97$	−35.2334	+	222.455i	−0.0368806	+	0.232855i	0.962362	+	0.271771i	$0.0876094\pi$
$98$	253.856	+	57.7300i	0.261667	+	0.0595063i
$99$		−	2243.61i		−	2.27769i
$100$	−788.736	+	488.938i	−0.788736	+	0.488938i
$101$	−165.100	−	95.3206i	−0.162654	−	0.0939085i	0.416463	−	0.909153i	$-0.363269\pi$
$101$	−165.100	−	95.3206i	−0.162654	−	0.0939085i	−0.579118	+	0.815244i	$0.696603\pi$
$102$	230.815	+	355.424i	0.224060	+	0.345022i
$103$	−337.721	−	879.792i	−0.323074	−	0.841636i	−0.994894	−	0.100922i	$-0.967821\pi$
$103$	−337.721	−	879.792i	−0.323074	−	0.841636i	0.671821	−	0.740714i	$-0.265513\pi$
$104$	−284.879	+	206.977i	−0.268603	+	0.195151i
$105$	1671.25	+	1127.64i	1.55331	+	1.04806i
$106$	−321.708	−	233.734i	−0.294783	−	0.214173i
$107$	2.09282	−	7.81049i	0.00189084	−	0.00705672i	−0.964974	−	0.262346i	$-0.915504\pi$
$107$	2.09282	−	7.81049i	0.00189084	−	0.00705672i	0.966865	+	0.255289i	$0.0821706\pi$
$108$	−2753.45	−	1056.95i	−2.45325	−	0.941713i
$109$	1622.36	−	1460.78i	1.42564	−	1.28365i	0.523614	−	0.851955i	$-0.324583\pi$
$109$	1622.36	−	1460.78i	1.42564	−	1.28365i	0.902021	−	0.431692i	$-0.142083\pi$
$110$	−280.154	+	19.0863i	−0.242833	+	0.0165437i
$111$	−2575.50	+	836.829i	−2.20230	+	0.715570i
$112$	−66.7806	−	932.995i	−0.0563409	−	0.787141i
$113$	79.6542	+	156.330i	0.0663118	+	0.130144i	0.921783	−	0.387706i	$-0.126732\pi$
$113$	79.6542	+	156.330i	0.0663118	+	0.130144i	−0.855471	+	0.517850i	$0.826732\pi$
$114$	−398.904	−	359.174i	−0.327726	−	0.295086i
$115$	157.055	+	551.441i	0.127352	+	0.447149i
$116$	−1122.28	−	1246.42i	−0.898287	−	0.997649i
$117$	1283.46	+	1584.94i	1.01415	+	1.25237i
$118$	−297.720	−	297.720i	−0.232266	−	0.232266i
$119$	929.746	+	513.373i	0.716216	+	0.395469i
$120$	−374.776	+	1218.03i	−0.285102	+	0.926589i
$121$	−215.608	−	95.9948i	−0.161989	−	0.0721223i
$122$	−62.9685	−	50.9909i	−0.0467287	−	0.0378401i
$123$	1247.63	−	810.223i	0.914596	−	0.593946i
$124$	1001.26	+	1734.23i	0.725127	+	1.25596i
$125$	1090.80	−	873.655i	0.780515	−	0.625137i
$126$	945.792	−	117.705i	0.668713	−	0.0832222i
$127$	276.611	−	542.881i	0.193270	−	0.379314i	−0.773953	−	0.633243i	$-0.781723\pi$
$127$	276.611	−	542.881i	0.193270	−	0.379314i	0.967223	+	0.253930i	$0.0817232\pi$
$128$	1201.09	−	461.055i	0.829394	−	0.318374i
$129$	338.139	+	3217.18i	0.230787	+	2.19579i
$130$	186.988	−	173.745i	0.126154	−	0.117218i
$131$	−1438.62	−	151.205i	−0.959484	−	0.100846i	−0.388179	−	0.921584i	$-0.626896\pi$
$131$	−1438.62	−	151.205i	−0.959484	−	0.100846i	−0.571305	+	0.820738i	$0.693563\pi$
$132$	1691.34	−	1691.34i	1.11525	−	1.11525i
$133$	−1305.78	−	323.292i	−0.851322	−	0.210774i
$134$	53.5135	+	17.3876i	0.0344990	+	0.0112094i
$135$	4307.81	+	1082.25i	2.74635	+	0.689967i
$136$	−139.579	+	656.667i	−0.0880058	+	0.414035i
$137$	65.3597	−	1247.14i	0.0407595	−	0.777738i	−0.899426	−	0.437074i	$-0.856015\pi$
$137$	65.3597	−	1247.14i	0.0407595	−	0.777738i	0.940185	−	0.340664i	$-0.110652\pi$
$138$	317.851	+	206.415i	0.196067	+	0.127327i
$139$	343.028	+	1055.73i	0.209318	+	0.644216i	0.999508	+	0.0313538i	$0.00998185\pi$
$139$	343.028	+	1055.73i	0.209318	+	0.644216i	−0.790190	+	0.612862i	$0.790018\pi$
$140$	293.090	+	1509.02i	0.176933	+	0.910966i
$141$	−892.086	+	2745.56i	−0.532817	+	1.63984i
$142$	−471.400	+	381.732i	−0.278584	+	0.225593i
$143$	−961.422	+	257.612i	−0.562225	+	0.150648i
$144$	−1392.83	−	3128.35i	−0.806037	−	1.81039i
$145$	1903.34	+	1660.54i	1.09009	+	0.951036i
$146$	−313.339	−	431.274i	−0.177617	−	0.244469i
$147$	2729.39	−	1924.53i	1.53140	−	1.07981i
$148$	−1839.75	−	937.401i	−1.02180	−	0.520634i
$149$	2033.09	−	1173.80i	1.11783	−	0.645381i	0.176986	−	0.984213i	$-0.443365\pi$
$149$	2033.09	−	1173.80i	1.11783	−	0.645381i	0.940847	+	0.338832i	$0.110032\pi$
$150$	163.667	−	909.151i	0.0890889	−	0.494879i
$151$	−418.122	+	724.208i	−0.225339	+	0.390299i	−0.956421	−	0.291991i	$-0.905682\pi$
$151$	−418.122	+	724.208i	−0.225339	+	0.390299i	0.731082	+	0.682290i	$0.239016\pi$
$152$	−44.5021	−	849.150i	−0.0237473	−	0.453126i
$153$	3840.31	+	608.246i	2.02922	+	0.321397i
$154$	−135.267	+	445.049i	−0.0707799	+	0.232877i
$155$	−1810.62	−	2411.75i	−0.938275	−	1.24978i
$156$	−227.270	+	2162.33i	−0.116642	+	1.10978i
$157$	40.8011	+	152.272i	0.0207406	+	0.0774051i	0.975520	−	0.219909i	$-0.0705759\pi$
$157$	40.8011	+	152.272i	0.0207406	+	0.0774051i	−0.954780	+	0.297314i	$0.903909\pi$
$158$	−130.202	+	339.188i	−0.0655590	+	0.170787i
$159$	−4989.71	+	1060.59i	−2.48874	+	0.528998i
$160$	−1304.18	+	690.453i	−0.644403	+	0.341157i
$161$	946.309	+	81.2262i	0.463227	+	0.0397610i
$162$	1377.89	−	702.071i	0.668255	−	0.340493i
$163$	−2237.00	+	3444.68i	−1.07494	+	1.65526i	−0.401851	+	0.915705i	$0.631633\pi$
$163$	−2237.00	+	3444.68i	−1.07494	+	1.65526i	−0.673091	+	0.739560i	$0.735034\pi$
$164$	1109.49	+	235.830i	0.528273	+	0.112288i
$165$	−2222.82	+	2834.60i	−1.04877	+	1.33742i
$166$	−68.4549	−	322.055i	−0.0320068	−	0.150580i
$167$	3020.72	−	478.435i	1.39970	−	0.221691i	0.589466	−	0.807793i	$-0.299338\pi$
$167$	3020.72	−	478.435i	1.39970	−	0.221691i	0.810237	+	0.586102i	$0.199338\pi$
$168$	1665.64	+	1296.94i	0.764923	+	0.595604i
$169$	−759.562	+	1045.45i	−0.345727	+	0.475853i
$170$	43.2807	−	484.704i	0.0195264	−	0.218677i
$171$	−4897.79	+	514.779i	−2.19031	+	0.230211i
$172$	−1552.23	+	1916.85i	−0.688120	+	0.849758i
$173$	139.202	−	7.29526i	0.0611752	−	0.00320606i	−0.0217238	−	0.999764i	$-0.506915\pi$
$173$	139.202	−	7.29526i	0.0611752	−	0.00320606i	0.0828990	+	0.996558i	$0.473582\pi$
$174$	1669.59			0.727421
$175$	−711.113	−	2203.11i	−0.307172	−	0.951654i
$176$	1671.27			0.715777
$177$	−5393.79	+	282.676i	−2.29052	+	0.120041i
$178$	−60.9404	+	75.2551i	−0.0256611	+	0.0316888i
$179$	528.037	−	55.4989i	0.220488	−	0.0231742i	0.00635961	−	0.999980i	$-0.497976\pi$
$179$	528.037	−	55.4989i	0.220488	−	0.0231742i	0.214128	+	0.976806i	$0.431309\pi$
$180$	2889.84	+	4829.07i	1.19664	+	1.99965i
$181$	1005.93	−	1384.54i	0.413093	−	0.568574i	−0.550876	−	0.834587i	$-0.685706\pi$
$181$	1005.93	−	1384.54i	0.413093	−	0.568574i	0.963970	+	0.266013i	$0.0857063\pi$
$182$	−159.034	−	391.771i	−0.0647715	−	0.159560i
$183$	−1026.61	+	162.600i	−0.414696	+	0.0656815i
$184$	124.823	+	587.248i	0.0500114	+	0.235285i
$185$	2920.13	+	1068.77i	1.16050	+	0.424742i
$186$	−1949.84	−	414.452i	−0.768652	−	0.163382i
$187$	−1033.52	+	1591.47i	−0.404161	+	0.622353i
$188$	−1961.23	+	999.298i	−0.760838	+	0.387667i
$189$	4210.27	−	6033.95i	1.62038	−	2.32225i
$190$	105.944	+	607.195i	0.0404527	+	0.231845i
$191$	2626.41	−	558.262i	0.994977	−	0.211489i	0.318477	−	0.947931i	$-0.396829\pi$
$191$	2626.41	−	558.262i	0.994977	−	0.211489i	0.676501	+	0.736442i	$0.263495\pi$
$192$	1060.29	−	2762.14i	0.398539	−	1.03823i
$193$	435.257	+	1624.40i	0.162334	+	0.605839i	0.998365	+	0.0571572i	$0.0182036\pi$
$193$	435.257	+	1624.40i	0.162334	+	0.605839i	−0.836031	+	0.548682i	$0.815130\pi$
$194$	17.8690	−	170.012i	0.00661298	−	0.0629183i
$195$	−51.2840	−	3273.98i	−0.0188335	−	1.20233i
$196$	2509.16	+	433.943i	0.914415	+	0.158142i
$197$	−3900.69	−	617.809i	−1.41073	−	0.223437i	−0.595860	−	0.803088i	$-0.703189\pi$
$197$	−3900.69	−	617.809i	−1.41073	−	0.223437i	−0.814865	+	0.579651i	$0.803189\pi$
$198$	89.1232	+	1700.57i	0.0319884	+	0.610376i
$199$	1370.04	−	2372.97i	0.488037	−	0.845304i	−0.511869	−	0.859064i	$-0.671047\pi$
$199$	1370.04	−	2372.97i	0.488037	−	0.845304i	0.999905	+	0.0137594i	$0.00437988\pi$
$200$	1201.70	−	835.043i	0.424866	−	0.295232i
$201$	625.107	−	360.906i	0.219361	−	0.126648i
$202$	128.926	+	65.6911i	0.0449069	+	0.0228812i
$203$	3691.14	−	1970.39i	1.27619	−	0.681253i
$204$	2436.49	+	3353.54i	0.836217	+	1.15095i
$205$	−1701.44	−	151.927i	−0.579677	−	0.0517612i
$206$	290.927	+	653.433i	0.0983974	+	0.221004i
$207$	3358.67	−	899.952i	1.12775	−	0.302179i
$208$	−1180.62	+	956.047i	−0.393564	+	0.318702i
$209$	742.728	−	2285.88i	0.245816	−	0.756544i
$210$	−1311.54	−	788.317i	−0.430974	−	0.259043i
$211$	−1551.01	−	4773.53i	−0.506048	−	1.55746i	−0.799002	−	0.601329i	$-0.794638\pi$
$211$	−1551.01	−	4773.53i	−0.506048	−	1.55746i	0.292954	−	0.956127i	$-0.405362\pi$
$212$	−3262.02	−	2118.38i	−1.05677	−	0.686277i
$213$	−407.243	+	7770.65i	−0.131004	+	2.49970i
$214$	−1.27602	+	6.00318i	−0.000407601	+	0.00191761i
$215$	1974.05	−	3146.59i	0.626183	−	0.998121i
$216$	4423.19	+	1437.18i	1.39333	+	0.452721i
$217$	−4799.84	+	1384.86i	−1.50154	+	0.433229i
$218$	−1171.66	+	1171.66i	−0.364014	+	0.364014i
$219$	−6801.05	−	714.819i	−2.09850	−	0.220562i
$220$	−2726.71	+	329.843i	−0.835611	+	0.101082i
$221$	−180.303	−	1715.47i	−0.0548801	−	0.522150i
$222$	1918.88	−	736.591i	0.580122	−	0.222688i
$223$	46.3331	−	90.9338i	0.0139134	−	0.0273066i	−0.883945	−	0.467591i	$-0.845122\pi$
$223$	46.3331	−	90.9338i	0.0139134	−	0.0273066i	0.897859	+	0.440284i	$0.145122\pi$
$224$	301.887	+	2425.74i	0.0900476	+	0.723557i
$225$	−5193.95	−	6697.24i	−1.53895	−	1.98437i
$226$	−66.5847	−	115.328i	−0.0195980	−	0.0339447i
$227$	3503.20	−	2275.01i	1.02430	−	0.665187i	0.0808570	−	0.996726i	$-0.474234\pi$
$227$	3503.20	−	2275.01i	1.02430	−	0.665187i	0.943442	+	0.331538i	$0.107568\pi$
$228$	−4080.26	−	3304.13i	−1.18518	−	0.959742i
$229$	−1988.06	−	885.143i	−0.573690	−	0.255423i	0.0993214	−	0.995055i	$-0.468333\pi$
$229$	−1988.06	−	885.143i	−0.573690	−	0.255423i	−0.673011	+	0.739632i	$0.734999\pi$
$230$	−140.947	−	411.732i	−0.0404076	−	0.118038i
$231$	3081.66	+	5109.72i	0.877741	+	1.45539i
$232$	1870.17	+	1870.17i	0.529235	+	0.529235i
$233$	1853.04	+	2288.32i	0.521016	+	0.643402i	0.967943	−	0.251169i	$-0.0808149\pi$
$233$	1853.04	+	2288.32i	0.521016	+	0.643402i	−0.446927	+	0.894571i	$0.647482\pi$
$234$	−1035.77	−	1150.34i	−0.289360	−	0.321367i
$235$	2751.49	−	1848.74i	0.763776	−	0.513186i
$236$	−3060.46	−	2755.65i	−0.844149	−	0.760075i
$237$	2115.93	+	4152.75i	0.579935	+	1.13819i
$238$	−725.104	−	352.185i	−0.197485	−	0.0959190i
$239$	−864.320	+	280.835i	−0.233926	+	0.0760070i	−0.423634	−	0.905833i	$-0.639246\pi$
$239$	−864.320	+	280.835i	−0.233926	+	0.0760070i	0.189708	+	0.981840i	$0.439246\pi$
$240$	−1339.64	+	5332.31i	−0.360306	+	1.43416i
$241$	−3959.80	+	3565.42i	−1.05839	+	0.952982i	−0.998976	−	0.0452507i	$-0.985591\pi$
$241$	−3959.80	+	3565.42i	−1.05839	+	0.952982i	−0.0594186	+	0.998233i	$0.518925\pi$
$242$	167.236	+	64.1957i	0.0444228	+	0.0170523i
$243$	2358.28	−	8801.20i	0.622566	−	2.32345i
$244$	−641.163	−	465.832i	−0.168222	−	0.122221i
$245$	−3829.90	−	194.984i	−0.998707	−	0.0508452i
$246$	−913.473	+	663.677i	−0.236752	+	0.172010i
$247$	782.956	+	2039.67i	0.201694	+	0.525430i
$248$	−1719.85	−	2648.33i	−0.440364	−	0.678101i
$249$	−3657.82	−	2111.85i	−0.930944	−	0.537481i
$250$	−792.082	+	705.527i	−0.200383	+	0.178486i
$251$			112.858i			0.0283806i	0.999899	+	0.0141903i	$0.00451706\pi$
$251$			112.858i			0.0283806i	−0.999899	+	0.0141903i	$0.995483\pi$
$252$	9178.01	−	1633.87i	2.29429	−	0.408429i
$253$	−265.471	+	1676.12i	−0.0659684	+	0.416508i
$254$	−188.096	+	422.470i	−0.0464653	+	0.104363i
$255$	−4249.28	−	4573.19i	−1.04353	−	1.12307i
$256$	1328.71	−	591.580i	0.324392	−	0.144429i
$257$	−6633.08	−	1777.33i	−1.60996	−	0.431388i	−0.661930	−	0.749565i	$-0.730263\pi$
$257$	−6633.08	−	1777.33i	−1.60996	−	0.431388i	−0.948031	+	0.318177i	$0.896929\pi$
$258$	−384.093	−	2425.07i	−0.0926844	−	0.585186i
$259$	3372.98	−	3893.06i	0.809216	−	0.933988i
$260$	1737.52	−	1792.82i	0.414447	−	0.427637i
$261$	10249.7	−	11383.5i	2.43081	−	2.69969i
$262$	1096.42	+	57.4610i	0.258539	+	0.0135494i
$263$	−2342.54	−	122.768i	−0.549230	−	0.0287839i	−0.224297	−	0.974521i	$-0.572008\pi$
$263$	−2342.54	−	122.768i	−0.549230	−	0.0287839i	−0.324933	+	0.945737i	$0.605342\pi$
$264$	−2523.84	+	2803.01i	−0.588377	+	0.653459i
$265$	5260.13	+	2577.21i	1.21935	+	0.597421i
$266$	1002.58	+	193.173i	0.231097	+	0.0445271i
$267$	194.326	+	1226.93i	0.0445415	+	0.281224i
$268$	531.608	+	142.444i	0.121168	+	0.0324670i
$269$	−2774.22	+	1235.16i	−0.628800	+	0.279960i	−0.696290	−	0.717760i	$-0.745167\pi$
$269$	−2774.22	+	1235.16i	−0.628800	+	0.279960i	0.0674906	+	0.997720i	$0.478501\pi$
$270$	−3308.14	−	649.187i	−0.745656	−	0.146327i
$271$	−545.495	+	1225.20i	−0.122275	+	0.274634i	−0.964304	−	0.264799i	$-0.914694\pi$
$271$	−545.495	+	1225.20i	−0.122275	+	0.274634i	0.842029	+	0.539432i	$0.181361\pi$
$272$	−453.083	+	2860.65i	−0.101001	+	0.637693i
$273$	−5099.95	−	1846.76i	−1.13063	−	0.409417i
$274$			947.878i			0.208991i
$275$	4017.02	−	986.289i	0.880855	−	0.216274i
$276$	3210.35	+	1853.50i	0.700147	+	0.404230i
$277$	1105.47	+	1702.28i	0.239789	+	0.369242i	0.937992	−	0.346657i	$-0.112683\pi$
$277$	1105.47	+	1702.28i	0.239789	+	0.369242i	−0.698203	+	0.715900i	$0.746017\pi$
$278$	−301.939	−	786.578i	−0.0651406	−	0.169697i
$279$	−14796.0	+	10749.9i	−3.17496	+	2.30674i
$280$	−586.078	−	2352.12i	−0.125089	−	0.502022i
$281$	−908.221	−	659.861i	−0.192811	−	0.140086i	0.487191	−	0.873295i	$-0.338021\pi$
$281$	−908.221	−	659.861i	−0.192811	−	0.140086i	−0.680003	+	0.733210i	$0.738021\pi$
$282$	567.105	−	2116.46i	0.119754	−	0.446927i
$283$	−7513.79	−	2884.28i	−1.57826	−	0.605839i	−0.597645	−	0.801761i	$-0.703897\pi$
$283$	−7513.79	−	2884.28i	−1.57826	−	0.605839i	−0.980619	+	0.195922i	$0.937230\pi$
$284$	−4409.11	+	3969.98i	−0.921241	+	0.829489i
$285$	6697.93	+	4202.02i	1.39211	+	0.873356i
$286$	718.487	−	233.451i	0.148549	−	0.0482665i
$287$	−1236.26	+	2545.31i	−0.254266	+	0.523501i
$288$	4062.80	+	7973.69i	0.831259	+	1.63144i
$289$	1207.19	+	1086.96i	0.245713	+	0.221241i
$290$	−1508.62	−	1183.02i	−0.305480	−	0.239549i
$291$	−1467.38	−	1629.69i	−0.295599	−	0.328296i
$292$	−3281.39	−	4052.18i	−0.657633	−	0.812109i
$293$	1883.35	+	1883.35i	0.375516	+	0.375516i	0.869482	−	0.493965i	$-0.164453\pi$
$293$	1883.35	+	1883.35i	0.375516	+	0.375516i	−0.493965	+	0.869482i	$0.664453\pi$
$294$	−1992.32	+	1567.14i	−0.395220	+	0.310875i
$295$	5074.05	+	3566.44i	1.00143	+	0.703886i
$296$	2974.49	+	1324.33i	0.584084	+	0.260051i
$297$	10216.4	+	8273.10i	1.99602	+	1.61634i
$298$	−1494.38	+	970.459i	−0.290493	+	0.188648i
$299$	−771.286	−	1335.91i	−0.149179	−	0.258386i
$300$	1133.26	−	8964.15i	0.218096	−	1.72515i
$301$	−3711.13	−	4908.06i	−0.710652	−	0.939853i
$302$	288.152	−	565.531i	0.0549050	−	0.107757i
$303$	1732.92	−	665.204i	0.328559	−	0.126122i
$304$	−383.459	−	3648.37i	−0.0723451	−	0.688317i
$305$	1042.85	+	580.502i	0.195781	+	0.108982i
$306$	−2934.97	−	308.478i	−0.548304	−	0.0576291i
$307$	339.385	−	339.385i	0.0630936	−	0.0630936i	−0.674856	−	0.737950i	$-0.735794\pi$
$307$	339.385	−	339.385i	0.0630936	−	0.0630936i	0.737950	+	0.674856i	$0.235794\pi$
$308$	−1093.43	+	4416.38i	−0.202285	+	0.817034i
$309$	8726.57	+	2835.44i	1.60659	+	0.522014i
$310$	1468.18	+	1756.09i	0.268991	+	0.321739i
$311$	−1695.66	+	7977.46i	−0.309171	+	1.45453i	0.499521	+	0.866302i	$0.333509\pi$
$311$	−1695.66	+	7977.46i	−0.309171	+	1.45453i	−0.808692	+	0.588233i	$0.799824\pi$
$312$	179.437	−	3423.86i	0.0325597	−	0.621276i
$313$	−3612.40	−	2345.92i	−0.652348	−	0.423640i	0.175587	−	0.984464i	$-0.443818\pi$
$313$	−3612.40	−	2345.92i	−0.652348	−	0.423640i	−0.827935	+	0.560824i	$0.810484\pi$
$314$	−36.9743	−	113.795i	−0.00664517	−	0.0204517i
$315$	−13426.5	+	4102.69i	−2.40157	+	0.733843i
$316$	−1098.15	+	3379.76i	−0.195493	+	0.601665i
$317$	−7083.27	+	5735.92i	−1.25500	+	1.01628i	−0.256238	+	0.966614i	$0.582483\pi$
$317$	−7083.27	+	5735.92i	−1.25500	+	1.01628i	−0.998766	+	0.0496688i	$0.984183\pi$
$318$	3739.87	−	1002.10i	0.659502	−	0.176713i
$319$	3040.72	+	6829.56i	0.533691	+	1.19869i
$320$	−2915.22	+	1744.55i	−0.509268	+	0.304759i
$321$	46.2767	+	63.6944i	0.00804646	+	0.0110750i
$322$	−720.492	−	23.9760i	−0.124694	−	0.00414947i
$323$	3711.31	+	1891.01i	0.639327	+	0.325754i
$324$	13099.5	−	7563.01i	2.24614	−	1.29681i
$325$	−2273.50	+	2994.66i	−0.388034	+	0.511120i
$326$	1558.73	−	2699.79i	0.264816	−	0.458674i
$327$	1112.46	+	21227.0i	0.188132	+	3.58977i
$328$	−1766.62	−	279.805i	−0.297395	−	0.0471027i
$329$	−1244.02	−	5348.36i	−0.208465	−	0.896246i
$330$	1572.21	−	2236.82i	0.262265	−	0.373129i
$331$	793.484	−	7549.50i	0.131764	−	1.25365i	−0.706235	−	0.707977i	$-0.749608\pi$
$331$	793.484	−	7549.50i	0.131764	−	1.25365i	0.837999	−	0.545672i	$-0.183726\pi$
$332$	−833.513	−	3110.71i	−0.137786	−	0.514224i
$333$	6758.00	−	17605.2i	1.11212	−	2.89717i
$334$	−2270.58	+	482.628i	−0.371979	+	0.0790665i
$335$	−820.564	−	116.821i	−0.133827	−	0.0190526i
$336$	7468.97	+	5211.58i	1.21270	+	0.846175i
$337$	6561.45	−	3343.23i	1.06061	−	0.540407i	0.165479	−	0.986213i	$-0.447083\pi$
$337$	6561.45	−	3343.23i	1.06061	−	0.540407i	0.895130	+	0.445806i	$0.147083\pi$
$338$	534.190	−	822.581i	0.0859649	−	0.132374i
$339$	−1671.00	−	355.181i	−0.267717	−	0.0569050i
$340$	174.633	−	4756.63i	0.0278552	−	0.758719i
$341$	−1855.78	−	8730.77i	−0.294710	−	1.38650i
$342$	3691.89	−	584.738i	0.583727	−	0.0924532i
$343$	−2555.16	+	5815.91i	−0.402233	+	0.915537i
$344$	2286.17	−	3146.64i	0.358319	−	0.493184i
$345$	−5134.98	−	2190.53i	−0.801328	−	0.341838i
$346$	−105.220	+	11.0590i	−0.0163487	+	0.00171832i
$347$	3559.06	−	4395.07i	0.550606	−	0.679941i	−0.423536	−	0.905879i	$-0.639211\pi$
$347$	3559.06	−	4395.07i	0.550606	−	0.679941i	0.974142	+	0.225938i	$0.0725447\pi$
$348$	16308.1	−	854.674i	2.51209	−	0.131653i
$349$	9481.19			1.45420			0.727101	−	0.686530i	$-0.240867\pi$
$349$	9481.19			1.45420			0.727101	+	0.686530i	$0.240867\pi$
$350$	626.510	+	1641.62i	0.0956811	+	0.250710i
$351$	−11949.7			−1.81717
$352$	−4361.58	+	228.581i	−0.660435	+	0.0346119i
$353$	3008.66	−	3715.39i	0.453640	−	0.560199i	−0.498094	−	0.867123i	$-0.665966\pi$
$353$	3008.66	−	3715.39i	0.453640	−	0.560199i	0.951734	+	0.306924i	$0.0992998\pi$
$354$	4077.05	−	428.516i	0.612127	−	0.0643371i
$355$	5874.01	−	6732.89i	0.878198	−	1.00661i
$356$	−556.727	+	766.269i	−0.0828834	+	0.114079i
$357$	−9581.57	+	3889.51i	−1.42048	+	0.576624i
$358$	−398.027	+	63.0412i	−0.0587608	+	0.00930679i
$359$	−2156.65	−	10146.2i	−0.317057	−	1.49164i	−0.791401	−	0.611298i	$-0.790648\pi$
$359$	−2156.65	−	10146.2i	−0.317057	−	1.49164i	0.474343	−	0.880340i	$-0.342686\pi$
$360$	−4949.28	−	7366.03i	−0.724583	−	1.07840i
$361$	1548.64	+	329.173i	0.225782	+	0.0479914i
$362$	−707.455	+	1089.39i	−0.102716	+	0.158168i
$363$	2047.50	−	1043.25i	0.296049	−	0.150845i
$364$	−1753.96	−	3745.31i	−0.252562	−	0.539307i
$365$	5638.84	+	5464.91i	0.808631	+	0.783688i
$366$	771.674	−	164.024i	0.110208	−	0.0234254i
$367$	281.499	−	733.329i	0.0400384	−	0.104304i	−0.912103	−	0.409960i	$-0.865543\pi$
$367$	281.499	−	733.329i	0.0400384	−	0.104304i	0.952142	+	0.305657i	$0.0988759\pi$
$368$	670.375	+	2501.87i	0.0949612	+	0.354400i
$369$	−1082.84	+	10302.5i	−0.152765	+	1.45347i
$370$	−2255.80	−	694.087i	−0.316956	−	0.0975239i
$371$	7085.49	−	6629.11i	0.991538	−	0.927672i
$372$	−19257.7	−	3050.13i	−2.68405	−	0.425112i
$373$	152.911	+	2917.72i	0.0212264	+	0.405024i	0.988493	+	0.151263i	$0.0483342\pi$
$373$	152.911	+	2917.72i	0.0212264	+	0.405024i	−0.967267	+	0.253761i	$0.918332\pi$
$374$	720.146	−	1247.33i	0.0995665	−	0.172454i
$375$	−73.0905	+	13607.2i	−0.0100650	+	1.87379i
$376$	3005.96	−	1735.49i	0.412289	−	0.238035i
$377$	−6054.87	−	3085.11i	−0.827166	−	0.421462i
$378$	−2951.54	+	4740.75i	−0.401616	+	0.645073i
$379$	6069.38	+	8353.79i	0.822594	+	1.13220i	0.989257	+	0.146190i	$0.0467011\pi$
$379$	6069.38	+	8353.79i	0.822594	+	1.13220i	−0.166662	+	0.986014i	$0.553299\pi$
$380$	1345.66	+	5876.70i	0.181661	+	0.793338i
$381$	2412.94	+	5419.54i	0.324458	+	0.728744i
$382$	−1968.54	+	527.470i	−0.263664	+	0.0706485i
$383$	−1293.05	+	1047.09i	−0.172511	+	0.139697i	−0.711688	−	0.702496i	$-0.752069\pi$
$383$	−1293.05	+	1047.09i	−0.172511	+	0.139697i	0.539177	+	0.842193i	$0.318735\pi$
$384$	−3870.93	+	11913.5i	−0.514421	+	1.58322i
$385$	836.041	−	6800.64i	0.110672	−	0.900240i
$386$	−394.434	−	1213.94i	−0.0520108	−	0.160073i
$387$	−18892.4	−	12268.9i	−2.48154	−	1.61153i
$388$	87.5096	−	1669.78i	0.0114501	−	0.218480i
$389$	−555.132	+	2611.69i	−0.0723556	+	0.340406i	−0.999403	−	0.0345368i	$-0.989004\pi$
$389$	−555.132	+	2611.69i	−0.0723556	+	0.340406i	0.927048	+	0.374943i	$0.122338\pi$
$390$	168.924	+	2479.51i	0.0219328	+	0.321936i
$391$	−2796.98	−	908.795i	−0.361763	−	0.117544i
$392$	−3987.08	−	476.269i	−0.513719	−	0.0613654i
$393$	9959.20	−	9959.20i	1.27831	−	1.27831i
$394$	2981.12	+	313.328i	0.381184	+	0.0400640i
$395$	1030.58	−	5251.65i	0.131276	−	0.668960i
$396$	1741.07	+	16565.2i	0.220939	+	2.10210i
$397$	1363.46	−	523.384i	0.172368	−	0.0661660i	−0.270654	−	0.962677i	$-0.587240\pi$
$397$	1363.46	−	523.384i	0.172368	−	0.0661660i	0.443022	+	0.896511i	$0.353906\pi$
$398$	−944.173	+	1853.04i	−0.118912	+	0.233379i
$399$	10447.4	−	7899.62i	1.31084	−	0.991167i
$400$	4988.78	−	3868.98i	0.623598	−	0.483622i
$401$	1405.44	+	2434.29i	0.175023	+	0.303149i	0.940169	−	0.340708i	$-0.110667\pi$
$401$	1405.44	+	2434.29i	0.175023	+	0.303149i	−0.765146	+	0.643857i	$0.777333\pi$
$402$	−459.470	+	298.384i	−0.0570057	+	0.0370200i
$403$	6305.38	+	5106.00i	0.779388	+	0.631136i
$404$	1292.95	+	575.656i	0.159224	+	0.0708910i
$405$	−18217.1	+	13676.5i	−2.23510	+	1.67800i
$406$	−2719.47	+	1640.10i	−0.332426	+	0.200485i
$407$	6507.81	+	6507.81i	0.792581	+	0.792581i
$408$	−4113.60	−	5079.87i	−0.499150	−	0.616399i
$409$	6123.27	+	6800.58i	0.740284	+	0.822169i	0.989233	−	0.146348i	$-0.0467519\pi$
$409$	6123.27	+	6800.58i	0.740284	+	0.822169i	−0.248949	+	0.968517i	$0.580085\pi$
$410$	1295.66	+	47.5683i	0.156069	+	0.00572983i
$411$	9036.33	+	8136.35i	1.08450	+	0.976488i
$412$	3176.20	+	6233.65i	0.379807	+	0.745412i
$413$	8507.85	−	5758.96i	1.01367	−	0.686150i
$414$	−2509.99	+	815.545i	−0.297969	+	0.0968161i
$415$	1808.77	+	4500.05i	0.213950	+	0.532286i
$416$	2950.35	−	2656.51i	0.347724	−	0.313092i
$417$	−10090.4	−	3873.34i	−1.18496	−	0.454864i
$418$	−472.157	+	1762.11i	−0.0552487	+	0.206191i
$419$	6860.13	+	4984.18i	0.799855	+	0.581129i	0.910872	−	0.412690i	$-0.135411\pi$
$419$	6860.13	+	4984.18i	0.799855	+	0.581129i	−0.111017	+	0.993819i	$0.535411\pi$
$420$	−13214.3	−	7028.70i	−1.53522	−	0.816584i
$421$	11332.0	−	8233.16i	1.31184	−	0.953111i	0.311849	−	0.950132i	$-0.399052\pi$
$421$	11332.0	−	8233.16i	1.31184	−	0.953111i	0.999996	−	0.00297904i	$-0.000948258\pi$
$422$	1365.23	+	3556.54i	0.157484	+	0.410259i
$423$	−10948.8	−	16859.7i	−1.25851	−	1.93794i
$424$	5311.65	+	3066.68i	0.608388	+	0.351253i
$425$	599.179	+	7143.17i	0.0683870	+	0.815281i
$426$		−	5906.03i		−	0.671709i
$427$	1512.45	−	1273.33i	0.171411	−	0.144311i
$428$	−9.39075	+	59.2909i	−0.00106056	+	0.00669610i
$429$	3941.78	−	8853.39i	0.443615	−	0.996377i
$430$	−1371.26	+	2463.41i	−0.153786	+	0.276270i
$431$	10705.3	−	4766.33i	1.19642	−	0.532682i	0.290808	−	0.956782i	$-0.406076\pi$
$431$	10705.3	−	4766.33i	1.19642	−	0.532682i	0.905616	+	0.424100i	$0.139409\pi$
$432$	19381.1	+	5193.14i	2.15850	+	0.578368i
$433$	−1131.82	−	7146.06i	−0.125617	−	0.793113i	−0.967392	−	0.253284i	$-0.918489\pi$
$433$	−1131.82	−	7146.06i	−0.125617	−	0.793113i	0.841775	−	0.539828i	$-0.181511\pi$
$434$	3583.08	−	1240.34i	0.396298	−	0.137185i
$435$	−24227.6	+	4227.26i	−2.67040	+	0.465935i
$436$	−10844.7	+	12044.3i	−1.19121	+	1.32297i
$437$	3719.86	+	194.950i	0.407197	+	0.0213403i
$438$	5183.33	+	271.647i	0.565454	+	0.0296342i
$439$	−6229.67	+	6918.75i	−0.677280	+	0.752196i	−0.979588	−	0.201014i	$-0.935576\pi$
$439$	−6229.67	+	6918.75i	−0.677280	+	0.752196i	0.302308	+	0.953210i	$0.402243\pi$
$440$	4266.63	−	744.447i	0.462281	−	0.0806594i
$441$	−1546.09	+	23204.7i	−0.166946	+	2.50563i
$442$	204.807	+	1293.10i	0.0220400	+	0.139155i
$443$	−5377.64	−	1440.94i	−0.576748	−	0.154539i	−0.0413586	−	0.999144i	$-0.513169\pi$
$443$	−5377.64	−	1440.94i	−0.576748	−	0.154539i	−0.535390	+	0.844605i	$0.679835\pi$
$444$	18366.1	−	8177.13i	1.96310	−	0.874030i
$445$	693.772	−	1246.33i	0.0739055	−	0.132768i
$446$	−31.5065	+	70.7648i	−0.00334501	+	0.00751303i
$447$	−3575.75	+	22576.4i	−0.378361	+	2.38887i
$448$	986.338	+	5540.60i	0.104018	+	0.584305i
$449$			11421.2i			1.20044i	0.799834	+	0.600222i	$0.204921\pi$
$449$			11421.2i			1.20044i	−0.799834	+	0.600222i	$0.795079\pi$
$450$	4202.84	+	4869.93i	0.440276	+	0.510157i
$451$	−4378.46	−	2527.91i	−0.457148	−	0.263935i
$452$	−709.420	−	1092.41i	−0.0738237	−	0.113679i
$453$	−2917.90	−	7601.40i	−0.302638	−	0.788399i
$454$	−2564.92	+	1863.53i	−0.265149	+	0.192642i
$455$	3299.70	+	5282.37i	0.339983	+	0.544266i
$456$	6698.02	+	4866.40i	0.687859	+	0.499759i
$457$	779.714	−	2909.93i	0.0798107	−	0.297857i	−0.914470	−	0.404653i	$-0.867392\pi$
$457$	779.714	−	2909.93i	0.0798107	−	0.297857i	0.994281	+	0.106795i	$0.0340590\pi$
$458$	1542.04	+	591.932i	0.157325	+	0.0603912i
$459$	−16930.5	+	15244.3i	−1.72167	+	1.55020i
$460$	−1587.50	−	3949.55i	−0.160908	−	0.400323i
$461$	−13045.9	+	4238.86i	−1.31802	+	0.428251i	−0.881815	−	0.471596i	$-0.843678\pi$
$461$	−13045.9	+	4238.86i	−1.31802	+	0.428251i	−0.436206	+	0.899847i	$0.643678\pi$
$462$	−2538.75	−	3750.56i	−0.255657	−	0.377688i
$463$	−6104.68	−	11981.1i	−0.612762	−	1.20261i	−0.963894	−	0.266287i	$-0.914203\pi$
$463$	−6104.68	−	11981.1i	−0.612762	−	1.20261i	0.351132	−	0.936326i	$-0.385797\pi$
$464$	8479.56	+	7635.03i	0.848392	+	0.763895i
$465$	29343.7	+	1077.31i	2.92641	+	0.107439i
$466$	−1495.43	−	1660.85i	−0.148658	−	0.165101i
$467$	−11611.3	−	14338.8i	−1.15055	−	1.42082i	−0.890358	−	0.455261i	$-0.849546\pi$
$467$	−11611.3	−	14338.8i	−1.15055	−	1.42082i	−0.260196	−	0.965556i	$-0.583787\pi$
$468$	−10706.0	−	10706.0i	−1.05745	−	1.05745i
$469$	−663.658	+	1201.92i	−0.0653409	+	0.118336i
$470$	−2012.08	+	1510.57i	−0.197469	+	0.148250i
$471$	−1402.22	−	624.306i	−0.137178	−	0.0610754i
$472$	5046.85	+	4086.86i	0.492161	+	0.398544i
$473$	9220.37	−	5987.78i	0.896306	−	0.582068i
$474$	−1768.75	−	3063.57i	−0.171396	−	0.296866i
$475$	−3074.73	−	8542.82i	−0.297007	−	0.825203i
$476$	−7262.93	−	3068.87i	−0.699361	−	0.295507i
$477$	16126.9	−	31650.9i	1.54801	−	3.03814i
$478$	643.966	−	247.195i	0.0616199	−	0.0236537i
$479$	1053.20	+	10020.5i	0.100463	+	0.955841i	0.922393	+	0.386253i	$0.126231\pi$
$479$	1053.20	+	10020.5i	0.100463	+	0.955841i	−0.821930	+	0.569588i	$0.807103\pi$
$480$	2766.81	−	14099.2i	0.263098	−	1.34070i
$481$	−8320.04	−	874.471i	−0.788693	−	0.0828949i
$482$	2859.74	−	2859.74i	0.270244	−	0.270244i
$483$	−6413.10	+	6662.81i	−0.604153	+	0.627678i
$484$	1666.38	+	541.439i	0.156497	+	0.0508489i
$485$	171.158	+	2512.30i	0.0160245	+	0.235212i
$486$	−1437.87	+	6764.65i	−0.134204	+	0.631380i
$487$	165.325	−	3154.59i	0.0153831	−	0.293528i	−0.980094	−	0.198532i	$-0.936383\pi$
$487$	165.325	−	3154.59i	0.0153831	−	0.293528i	0.995478	−	0.0949962i	$-0.0302839\pi$
$488$	1048.11	+	680.650i	0.0972248	+	0.0631385i
$489$	−12358.0	−	38034.1i	−1.14284	−	3.51730i
$490$	2910.66	−	4.34484i	0.268347	−	0.000400572i
$491$	−1224.40	+	3768.31i	−0.112538	+	0.346357i	−0.991426	−	0.130672i	$-0.958287\pi$
$491$	−1224.40	+	3768.31i	−0.112538	+	0.346357i	0.878887	+	0.477029i	$0.158287\pi$
$492$	−8582.84	+	6950.25i	−0.786473	+	0.636873i
$493$	−12514.3	+	3353.19i	−1.14323	+	0.306329i
$494$	−674.472	−	1514.89i	−0.0614290	−	0.137972i
$495$	−5598.98	−	24451.5i	−0.508395	−	2.22023i
$496$	−8007.63	−	11021.6i	−0.724906	−	0.997747i
$497$	−6970.09	−	13057.1i	−0.629077	−	1.17845i
$498$	2856.38	+	1455.40i	0.257023	+	0.130960i
$499$	−14393.6	+	8310.15i	−1.29127	+	0.745518i	−0.978880	−	0.204435i	$-0.934464\pi$
$499$	−14393.6	+	8310.15i	−1.29127	+	0.745518i	−0.312394	+	0.949953i	$0.601131\pi$
$500$	−7375.70	+	7296.89i	−0.659703	+	0.652654i
$501$	−14889.1	+	25788.7i	−1.32774	+	2.29971i
$502$	−4.48306	−	85.5419i	−0.000398583	−	0.00760542i
$503$	−7172.93	−	1136.08i	−0.635836	−	0.100706i	−0.169809	−	0.985477i	$-0.554315\pi$
$503$	−7172.93	−	1136.08i	−0.635836	−	0.100706i	−0.466027	+	0.884771i	$0.654315\pi$
$504$	−14318.1	+	3330.37i	−1.26544	+	0.294338i
$505$	−2037.18	−	626.819i	−0.179512	−	0.0552339i
$506$	134.636	−	1280.98i	0.0118287	−	0.112542i
$507$	−3256.49	−	12153.4i	−0.285258	−	1.06460i
$508$	−1621.01	+	4222.87i	−0.141576	+	0.368818i
$509$	4342.11	−	922.944i	0.378115	−	0.0803709i	−0.0149336	−	0.999888i	$-0.504754\pi$
$509$	4342.11	−	922.944i	0.378115	−	0.0803709i	0.393049	+	0.919518i	$0.371420\pi$
$510$	3402.45	+	3297.50i	0.295418	+	0.286306i
$511$	11779.9	−	5516.63i	1.01979	−	0.477576i
$512$	−10154.1	+	5173.80i	−0.876473	+	0.446585i
$513$	15716.0	−	24200.6i	1.35259	−	2.08281i
$514$	5098.22	+	1083.66i	0.437496	+	0.0929926i
$515$	−5876.11	−	8745.43i	−0.502781	−	0.748291i
$516$	−4993.13	−	23490.8i	−0.425989	−	2.00412i
$517$	9690.36	−	1534.80i	0.824335	−	0.130562i
$518$	−2401.95	+	3084.77i	−0.203736	+	0.261655i
$519$	−797.752	+	1098.01i	−0.0674710	+	0.0928659i
$520$	−2588.18	+	2966.61i	−0.218267	+	0.250182i
$521$	−610.844	+	64.2023i	−0.0513658	+	0.00539876i	−0.130176	−	0.991491i	$-0.541554\pi$
$521$	−610.844	+	64.2023i	−0.0513658	+	0.00539876i	0.0788107	+	0.996890i	$0.474888\pi$
$522$	−7316.71	+	9035.38i	−0.613494	+	0.757602i
$523$	−2488.84	+	130.434i	−0.208086	+	0.0109053i	−0.156094	−	0.987742i	$-0.549890\pi$
$523$	−2488.84	+	130.434i	−0.208086	+	0.0109053i	−0.0519921	+	0.998647i	$0.516557\pi$
$524$	10739.0			0.895296
$525$	21027.8	+	8118.64i	1.74805	+	0.674907i
$526$	1780.43			0.147587
$527$	15447.3	−	809.556i	1.27684	−	0.0669162i
$528$	−10240.6	+	12646.1i	−0.844066	+	1.04233i
$529$	9484.73	−	996.885i	0.779546	−	0.0819335i
$530$	−4089.35	−	1744.47i	−0.335151	−	0.142972i
$531$	22107.6	−	30428.6i	1.80676	−	2.48679i
$532$	9891.80	+	1373.65i	0.806135	+	0.111946i
$533$	4539.12	−	718.927i	0.368877	−	0.0584243i
$534$	−196.029	−	922.246i	−0.0158858	−	0.0747368i
$535$	3.31683	−	90.3436i	0.000268036	−	0.00730073i
$536$	−848.899	−	180.439i	−0.0684083	−	0.0145406i
$537$	−2815.58	+	4335.61i	−0.226259	+	0.348408i
$538$	2053.69	−	1046.41i	0.164574	−	0.0838545i
$539$	−10039.0	−	5295.61i	−0.802243	−	0.423187i
$540$	−32645.5	−	4647.64i	−2.60155	−	0.370375i
$541$	289.493	−	61.5336i	0.0230061	−	0.00489009i	−0.196394	−	0.980525i	$-0.562923\pi$
$541$	289.493	−	61.5336i	0.0230061	−	0.00489009i	0.219400	+	0.975635i	$0.429590\pi$
$542$	364.795	−	950.325i	0.0289102	−	0.0753135i
$543$	4312.74	+	16095.3i	0.340842	+	1.27204i
$544$	791.176	−	7527.54i	0.0623555	−	0.593273i
$545$	14035.5	−	19968.7i	1.10315	−	1.56947i
$546$	3938.93	+	1197.18i	0.308737	+	0.0938365i
$547$	3615.72	+	572.674i	0.282627	+	0.0447637i	0.296139	−	0.955145i	$-0.404301\pi$
$547$	3615.72	+	572.674i	0.282627	+	0.0447637i	−0.0135115	+	0.999909i	$0.504301\pi$
$548$	485.225	+	9258.64i	0.0378244	+	0.721733i
$549$	3619.02	−	6268.33i	0.281341	−	0.487297i
$550$	−3005.56	+	907.137i	−0.233014	+	0.0703281i
$551$	14211.2	−	8204.85i	1.09876	−	0.634371i
$552$	−5208.43	−	2653.83i	−0.401604	−	0.204628i
$553$	−7525.90	−	4685.54i	−0.578723	−	0.360306i
$554$	−905.527	−	1246.35i	−0.0694443	−	0.0955819i
$555$	−25980.1	+	15547.2i	−1.98702	+	1.18908i
$556$	−3351.92	−	7528.53i	−0.255671	−	0.574246i
$557$	−23756.6	+	6365.56i	−1.80718	+	0.484232i	−0.995062	−	0.0992601i	$-0.968352\pi$
$557$	−23756.6	+	6365.56i	−1.80718	+	0.484232i	−0.812118	+	0.583493i	$0.801686\pi$
$558$	10787.8	−	8735.77i	0.818428	−	0.662750i
$559$	−3088.16	+	9504.39i	−0.233659	+	0.719128i
$560$	−3056.10	−	10001.4i	−0.230614	−	0.754706i
$561$	−5709.52	−	17572.1i	−0.429690	−	1.32245i
$562$	714.608	+	464.072i	0.0536369	+	0.0348322i
$563$	−372.921	+	7115.75i	−0.0279161	+	0.532670i	0.948501	+	0.316775i	$0.102600\pi$
$563$	−372.921	+	7115.75i	−0.0279161	+	0.532670i	−0.976417	+	0.215895i	$0.930733\pi$
$564$	4455.91	−	20963.4i	0.332673	−	1.56510i
$565$	1258.22	+	1504.95i	0.0936878	+	0.112060i
$566$	5809.74	+	1887.70i	0.431451	+	0.140187i
$567$	10460.6	+	36255.6i	0.774784	+	2.68535i
$568$	6615.56	−	6615.56i	0.488702	−	0.488702i
$569$	2941.01	+	309.112i	0.216684	+	0.0227744i	0.212249	−	0.977216i	$-0.431921\pi$
$569$	2941.01	+	309.112i	0.216684	+	0.0227744i	0.00443581	+	0.999990i	$0.498588\pi$
$570$	−5243.69	−	2918.91i	−0.385323	−	0.214491i
$571$	277.970	+	2644.70i	0.0203725	+	0.193831i	0.999975	−	0.00711550i	$-0.00226495\pi$
$571$	277.970	+	2644.70i	0.0203725	+	0.193831i	−0.979602	+	0.200946i	$0.935598\pi$
$572$	6898.51	−	2648.09i	0.504268	−	0.193570i
$573$	−11869.0	+	23294.3i	−0.865332	+	1.69831i
$574$	835.932	−	1978.35i	0.0607859	−	0.143859i
$575$	3087.76	+	5617.82i	0.223945	+	0.407442i
$576$	10301.4	+	17842.6i	0.745185	+	1.29070i
$577$	−5394.05	+	3502.94i	−0.389181	+	0.252737i	−0.724366	−	0.689415i	$-0.757868\pi$
$577$	−5394.05	+	3502.94i	−0.389181	+	0.252737i	0.335186	+	0.942152i	$0.391201\pi$
$578$	−958.179	−	775.918i	−0.0689533	−	0.0558372i
$579$	−14958.5	−	6659.97i	−1.07367	−	0.478029i
$580$	−15341.4	−	10783.2i	−1.09831	−	0.771976i
$581$	8032.50	−	153.398i	0.573570	−	0.0109536i
$582$	1176.95	+	1176.95i	0.0838252	+	0.0838252i
$583$	10910.3	+	13473.1i	0.775060	+	0.957119i
$584$	5501.75	+	6110.31i	0.389836	+	0.432956i
$585$	17942.7	+	14070.2i	1.26810	+	0.994410i
$586$	−1502.32	−	1352.69i	−0.105905	−	0.0953570i
$587$	−999.538	−	1961.70i	−0.0702817	−	0.137936i	0.853192	−	0.521596i	$-0.174663\pi$
$587$	−999.538	−	1961.70i	−0.0702817	−	0.137936i	−0.923474	+	0.383661i	$0.874663\pi$
$588$	−18658.3	+	16327.3i	−1.30860	+	1.14511i
$589$	−18633.4	+	6054.36i	−1.30353	+	0.423541i
$590$	−3987.60	−	2501.67i	−0.278249	−	0.174563i
$591$	28576.2	−	25730.1i	1.98895	−	1.79086i
$592$	13114.1	+	5034.04i	0.910451	+	0.349489i
$593$	684.405	−	2554.23i	0.0473949	−	0.176880i	−0.938171	−	0.346172i	$-0.887481\pi$
$593$	684.405	−	2554.23i	0.0473949	−	0.176880i	0.985566	+	0.169292i	$0.0541481\pi$
$594$	−8072.29	−	5864.86i	−0.557593	−	0.405115i
$595$	11413.8	+	3274.68i	0.786418	+	0.225628i
$596$	−14099.9	+	10244.2i	−0.969052	+	0.704057i
$597$	9560.93	+	24907.1i	0.655449	+	1.70750i
$598$	637.671	+	981.928i	0.0436059	+	0.0671472i
$599$	15701.3	+	9065.16i	1.07102	+	0.618352i	0.928459	−	0.371435i	$-0.121134\pi$
$599$	15701.3	+	9065.16i	1.07102	+	0.618352i	0.142557	+	0.989787i	$0.454467\pi$
$600$	−1044.79	+	14209.7i	−0.0710887	+	0.966849i
$601$			23451.0i			1.59166i	0.605523	+	0.795828i	$0.292964\pi$
$601$			23451.0i			1.59166i	−0.605523	+	0.795828i	$0.707036\pi$
$602$	3007.86	+	3572.70i	0.203640	+	0.241881i
$603$	−786.304	+	4964.53i	−0.0531024	+	0.335276i
$604$	2525.10	−	5671.47i	0.170108	−	0.382068i
$605$	−2589.31	−	508.124i	−0.174001	−	0.0341457i
$606$	−1287.06	+	573.036i	−0.0862759	+	0.0384125i
$607$	−15355.4	−	4114.47i	−1.02678	−	0.275125i	−0.294157	−	0.955757i	$-0.595039\pi$
$607$	−15355.4	−	4114.47i	−1.02678	−	0.275125i	−0.732626	+	0.680632i	$0.761705\pi$
$608$	1499.72	+	9468.86i	0.100036	+	0.631601i
$609$	−7707.78	+	40003.6i	−0.512865	+	2.66178i
$610$	−813.496	−	398.573i	−0.0539959	−	0.0264553i
$611$	−5967.49	+	6627.57i	−0.395121	+	0.438826i
$612$	−28826.0	−	1510.71i	−1.90396	−	0.0997822i
$613$	−4855.74	−	254.479i	−0.319937	−	0.0167672i	−0.108308	−	0.994117i	$-0.534543\pi$
$613$	−4855.74	−	254.479i	−0.319937	−	0.0167672i	−0.211629	+	0.977350i	$0.567877\pi$
$614$	−243.759	+	270.722i	−0.0160217	+	0.0177939i
$615$	11575.1	−	11943.5i	0.758950	−	0.783105i
$616$	1357.39	−	7044.88i	0.0887836	−	0.460789i
$617$	−205.043	−	1294.59i	−0.0133788	−	0.0844703i	0.980096	−	0.198527i	$-0.0636156\pi$
$617$	−205.043	−	1294.59i	−0.0133788	−	0.0844703i	−0.993474	+	0.114056i	$0.963616\pi$
$618$	−6727.04	−	1802.50i	−0.437866	−	0.117326i
$619$	−3098.72	+	1379.64i	−0.201208	+	0.0895837i	−0.504867	−	0.863197i	$-0.668458\pi$
$619$	−3098.72	+	1379.64i	−0.201208	+	0.0895837i	0.303659	+	0.952781i	$0.401792\pi$
$620$	15239.8	+	16401.5i	0.987170	+	1.06242i
$621$	−8286.76	+	18612.4i	−0.535485	+	1.20272i
$622$	968.356	−	6113.96i	0.0624237	−	0.394128i
$623$	−1521.79	−	1807.56i	−0.0978636	−	0.116241i
$624$		−	14791.6i		−	0.948942i
$625$	9707.65	−	12243.5i	0.621289	−	0.783581i
$626$	2831.25	+	1634.62i	0.180766	+	0.104365i
$627$	12745.7	+	19626.7i	0.811828	+	1.25011i
$628$	−419.409	−	1092.60i	−0.0266501	−	0.0694258i
$629$	−12903.5	+	9374.92i	−0.817957	+	0.594281i
$630$	10013.8	−	3643.02i	0.633266	−	0.230383i
$631$	−9383.63	−	6817.60i	−0.592007	−	0.430118i	0.251026	−	0.967980i	$-0.419232\pi$
$631$	−9383.63	−	6817.60i	−0.592007	−	0.430118i	−0.843033	+	0.537862i	$0.819232\pi$
$632$	1450.37	−	5412.86i	0.0912859	−	0.340684i
$633$	45624.0	+	17513.4i	2.86476	+	1.09968i
$634$	5141.00	−	4628.98i	0.322043	−	0.289969i
$635$	1659.82	−	6606.75i	0.103729	−	0.412883i
$636$	36017.2	−	11702.7i	2.24556	−	0.729626i
$637$	10121.1	−	2001.85i	0.629532	−	0.124515i
$638$	−2576.04	−	5055.76i	−0.159853	−	0.313729i
$639$	−40268.1	−	36257.5i	−2.49293	−	2.24464i
$640$	11939.2	−	8022.05i	0.737406	−	0.495468i
$641$	−11663.1	−	12953.2i	−0.718666	−	0.798160i	0.267564	−	0.963540i	$-0.413781\pi$
$641$	−11663.1	−	12953.2i	−0.718666	−	0.798160i	−0.986230	+	0.165380i	$0.947115\pi$
$642$	−37.6061	−	46.4396i	−0.00231183	−	0.00285487i
$643$	13969.1	+	13969.1i	0.856746	+	0.856746i	0.990953	−	0.134207i	$-0.0428487\pi$
$643$	13969.1	+	13969.1i	0.856746	+	0.856746i	−0.134207	+	0.990953i	$0.542849\pi$
$644$	−7049.87	+	134.633i	−0.431372	+	0.00823801i
$645$	11713.7	+	34217.9i	0.715078	+	2.08888i
$646$	−2888.14	−	1285.88i	−0.175902	−	0.0783165i
$647$	10238.7	+	8291.12i	0.622139	+	0.503799i	0.887777	−	0.460274i	$-0.152249\pi$
$647$	10238.7	+	8291.12i	0.622139	+	0.503799i	−0.265637	+	0.964073i	$0.585582\pi$
$648$	−20004.1	+	12990.8i	−1.21271	+	0.787544i
$649$	9178.15	+	15897.0i	0.555122	+	0.961499i
$650$	1604.27	−	2360.15i	0.0968070	−	0.142419i
$651$	18931.9	−	44805.1i	1.13978	−	2.69747i
$652$	13843.2	−	27168.9i	0.831507	−	1.63192i
$653$	−19952.4	+	7659.01i	−1.19571	+	0.458990i	−0.873100	−	0.487542i	$-0.837894\pi$
$653$	−19952.4	+	7659.01i	−1.19571	+	0.458990i	−0.322610	+	0.946532i	$0.604560\pi$
$654$	−1686.40	−	16045.0i	−0.100831	−	0.959343i
$655$	−16055.8	+	1942.22i	−0.957787	+	0.115861i
$656$	−7674.37	−	806.609i	−0.456759	−	0.0480073i
$657$	33672.9	−	33672.9i	1.99955	−	1.99955i
$658$	1155.37	+	4004.44i	0.0684515	+	0.237248i
$659$	−7017.47	−	2280.12i	−0.414813	−	0.134781i	0.0941726	−	0.995556i	$-0.469979\pi$
$659$	−7017.47	−	2280.12i	−0.414813	−	0.134781i	−0.508986	+	0.860775i	$0.669979\pi$
$660$	14211.9	−	22653.5i	0.838180	−	1.33604i
$661$	3416.42	−	16073.0i	0.201034	−	0.945789i	−0.755721	−	0.654893i	$-0.772713\pi$
$661$	3416.42	−	16073.0i	0.201034	−	0.945789i	0.956755	−	0.290895i	$-0.0939532\pi$
$662$	−301.541	+	5753.75i	−0.0177035	+	0.337803i
$663$	14085.4	+	9147.17i	0.825086	+	0.535817i
$664$	1569.29	+	4829.77i	0.0917171	+	0.282276i
$665$	−15037.6	−	264.721i	−0.876890	−	0.0154368i
$666$	−4422.97	+	13612.5i	−0.257337	+	0.792002i
$667$	−9004.11	+	7291.38i	−0.522699	+	0.423273i
$668$	−21931.5	+	5876.52i	−1.27029	+	0.340373i
$669$	404.173	+	907.786i	0.0233576	+	0.0524620i
$670$	626.596	+	55.9507i	0.0361306	+	0.00322622i
$671$	2076.35	+	2857.86i	0.119459	+	0.164421i
$672$	−20204.9	−	12579.3i	−1.15985	−	0.722111i
$673$	1851.35	+	943.310i	0.106039	+	0.0540296i	0.506206	−	0.862413i	$-0.331048\pi$
$673$	1851.35	+	943.310i	0.106039	+	0.0540296i	−0.400167	+	0.916442i	$0.631048\pi$
$674$	−4840.52	+	2794.68i	−0.276632	+	0.159714i
$675$	49648.5	+	1044.47i	2.83107	+	0.0595581i
$676$	4796.76	−	8308.23i	0.272915	−	0.472703i
$677$	1000.02	+	19081.6i	0.0567711	+	1.08326i	0.867373	+	0.497659i	$0.165807\pi$
$677$	1000.02	+	19081.6i	0.0567711	+	1.08326i	−0.810602	+	0.585598i	$0.800860\pi$
$678$	1280.66	+	202.836i	0.0725419	+	0.0114895i
$679$	3991.01	+	1213.02i	0.225569	+	0.0685585i
$680$	117.557	+	7504.86i	0.00662956	+	0.423233i
$681$	−4251.26	+	40448.0i	−0.239220	+	2.27602i
$682$	1753.42	+	6543.87i	0.0984488	+	0.367416i
$683$	1854.48	−	4831.09i	0.103894	−	0.270654i	−0.871773	−	0.489910i	$-0.837030\pi$
$683$	1854.48	−	4831.09i	0.103894	−	0.270654i	0.975667	+	0.219256i	$0.0703630\pi$
$684$	35762.1	−	7601.48i	1.99912	−	0.424927i
$685$	−2399.95	−	13754.7i	−0.133865	−	0.767214i
$686$	1705.69	−	4509.73i	0.0949322	−	0.250995i
$687$	18879.5	−	9619.58i	1.04847	−	0.534221i
$688$	9139.09	−	14073.0i	0.506431	−	0.779835i
$689$	−15414.6	−	3276.47i	−0.852320	−	0.181166i
$690$	3979.13	+	1456.36i	0.219541	+	0.0803517i
$691$	5232.49	+	24616.9i	0.288065	+	1.35524i	0.849442	+	0.527681i	$0.176938\pi$
$691$	5232.49	+	24616.9i	0.288065	+	1.35524i	−0.561377	+	0.827560i	$0.689728\pi$
$692$	−1022.10	+	161.885i	−0.0561480	+	0.00889297i
$693$	−41157.4	−	5715.41i	−2.25604	−	0.313290i
$694$	−2523.04	+	3472.67i	−0.138002	+	0.189943i
$695$	6373.01	+	10649.6i	0.347830	+	0.581242i
$696$	−25610.5	+	2691.78i	−1.39478	+	0.146597i
$697$	5513.94	−	6809.14i	0.299649	−	0.370036i
$698$	−7186.38	+	376.622i	−0.389697	+	0.0204231i
$699$	−28669.7			−1.55134
$700$	6959.96	+	15714.3i	0.375803	+	0.848491i
$701$	−18557.3			−0.999858			−0.499929	−	0.866066i	$-0.666641\pi$
$701$	−18557.3			−0.999858			−0.499929	+	0.866066i	$0.666641\pi$
$702$	9057.42	−	474.679i	0.486966	−	0.0255208i
$703$	12713.4	−	15699.7i	0.682067	−	0.842283i
$704$	−10000.1	+	1051.05i	−0.535358	+	0.0562684i
$705$	−2870.60	+	32148.1i	−0.153352	+	1.71740i
$706$	−2132.86	+	2935.63i	−0.113699	+	0.156493i
$707$	−2169.16	+	2785.81i	−0.115389	+	0.148191i
$708$	39604.3	−	6272.71i	2.10229	−	0.332970i
$709$	4505.01	+	21194.4i	0.238631	+	1.12267i	0.920362	+	0.391067i	$0.127894\pi$
$709$	4505.01	+	21194.4i	0.238631	+	1.12267i	−0.681731	+	0.731603i	$0.738773\pi$
$710$	−4184.82	+	5336.61i	−0.221202	+	0.282083i
$711$	−31746.3	−	6747.89i	−1.67452	−	0.355929i
$712$	813.461	−	1252.62i	0.0428170	−	0.0659325i
$713$	12325.5	−	6280.15i	0.647396	−	0.329865i
$714$	7107.96	−	3328.71i	0.372561	−	0.174473i
$715$	−9834.96	+	5206.78i	−0.514415	+	0.272339i
$716$	−3855.56	+	819.524i	−0.201242	+	0.0427752i
$717$	3171.07	−	8260.93i	0.165169	−	0.430279i
$718$	2037.70	+	7604.79i	0.105914	+	0.395276i
$719$	3621.46	−	34455.9i	0.187841	−	1.78719i	−0.342616	−	0.939475i	$-0.611313\pi$
$719$	3621.46	−	34455.9i	0.187841	−	1.78719i	0.530457	−	0.847712i	$-0.322020\pi$
$720$	−22986.3	−	30617.8i	−1.18979	−	1.58480i
$721$	−16999.4	+	3954.03i	−0.878074	+	0.204238i
$722$	−1186.88	−	187.984i	−0.0611789	−	0.00968979i
$723$	−2715.24	−	51809.9i	−0.139669	−	2.66505i
$724$	−6352.59	+	11003.0i	−0.326094	+	0.564811i
$725$	24887.0	+	13347.2i	1.27487	+	0.683727i
$726$	−1510.49	+	872.079i	−0.0772168	+	0.0445811i
$727$	127.254	+	64.8391i	0.00649187	+	0.00330777i	0.457233	−	0.889347i	$-0.348840\pi$
$727$	127.254	+	64.8391i	0.00649187	+	0.00330777i	−0.450742	+	0.892654i	$0.648840\pi$
$728$	3071.12	+	5753.14i	0.156351	+	0.292892i
$729$	19811.5	+	27268.2i	1.00653	+	1.38537i
$730$	−4491.10	−	3918.20i	−0.227703	−	0.198656i
$731$	7749.41	+	17405.5i	0.392096	+	0.880663i
$732$	7453.56	−	1997.18i	0.376355	−	0.100844i
$733$	−20738.2	+	16793.5i	−1.04500	+	0.846224i	−0.988354	−	0.152170i	$-0.951374\pi$
$733$	−20738.2	+	16793.5i	−1.04500	+	0.846224i	−0.0566452	+	0.998394i	$0.518040\pi$
$734$	−184.235	+	567.017i	−0.00926463	+	0.0285136i
$735$	24943.0	−	27785.3i	1.25175	−	1.39439i
$736$	−2091.69	−	6437.56i	−0.104756	−	0.322407i
$737$	−2057.36	−	1336.07i	−0.102828	−	0.0667770i
$738$	411.503	−	7851.94i	0.0205252	−	0.391645i
$739$	3513.28	−	16528.7i	0.174882	−	0.822757i	−0.799993	−	0.600009i	$-0.795164\pi$
$739$	3513.28	−	16528.7i	0.174882	−	0.822757i	0.974876	−	0.222749i	$-0.0715029\pi$
$740$	−22389.4	−	5624.91i	−1.11223	−	0.279427i
$741$	−20231.3	−	6573.55i	−1.00299	−	0.325891i
$742$	−5107.20	+	5306.07i	−0.252684	+	0.262523i
$743$	−12768.6	+	12768.6i	−0.630464	+	0.630464i	−0.948184	−	0.317721i	$-0.897083\pi$
$743$	−12768.6	+	12768.6i	−0.630464	+	0.630464i	0.317721	+	0.948184i	$0.397083\pi$
$744$	30577.6	+	3213.84i	1.50676	+	0.158367i
$745$	19227.9	−	17866.1i	0.945579	−	0.878606i
$746$	−231.802	−	2205.45i	−0.0113765	−	0.108240i
$747$	27458.6	−	10540.4i	1.34492	−	0.516267i
$748$	6395.70	−	12552.3i	0.312634	−	0.613578i
$749$	−137.946	−	58.2876i	−0.00672957	−	0.00284350i
$750$	−485.119	−	10316.6i	−0.0236187	−	0.502279i
$751$	7212.31	+	12492.1i	0.350441	+	0.606981i	0.986327	−	0.164802i	$-0.0526985\pi$
$751$	7212.31	+	12492.1i	0.350441	+	0.606981i	−0.635886	+	0.771783i	$0.719365\pi$
$752$	12558.8	−	8155.79i	0.609006	−	0.395493i
$753$	−853.972	−	691.533i	−0.0413286	−	0.0334673i
$754$	4711.90	+	2097.87i	0.227583	+	0.101326i
$755$	−2749.53	+	8936.05i	−0.132537	+	0.430750i
$756$	−26403.1	+	47817.4i	−1.27020	+	2.30040i
$757$	9550.09	+	9550.09i	0.458526	+	0.458526i	0.898171	−	0.439646i	$-0.144896\pi$
$757$	9550.09	+	9550.09i	0.458526	+	0.458526i	−0.439646	+	0.898171i	$0.644896\pi$
$758$	−4932.20	−	6090.75i	−0.236340	−	0.291855i
$759$	−11056.2	−	12279.1i	−0.528740	−	0.587225i
$760$	−2604.07	−	9143.21i	−0.124289	−	0.436394i
$761$	−3516.16	−	3165.96i	−0.167491	−	0.150809i	0.581123	−	0.813816i	$-0.302614\pi$
$761$	−3516.16	−	3165.96i	−0.167491	−	0.150809i	−0.748614	+	0.663006i	$0.769280\pi$
$762$	−2044.19	−	4011.95i	−0.0971828	−	0.190732i
$763$	−22664.1	−	33482.2i	−1.07535	−	1.58865i
$764$	−18958.3	+	6159.91i	−0.897756	+	0.291699i
$765$	43370.7	−	2954.75i	2.04977	−	0.139646i
$766$	938.487	−	845.017i	0.0442675	−	0.0398586i
$767$	−15577.5	−	5979.64i	−0.733339	−	0.281502i

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 175 = 5^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 4 \)
Character orbit:	\([\chi]\)	\(=\)	175.x (of order \(60\), degree \(16\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.757961 + 0.0397231i) q^{2} +(-6.12747 + 7.56679i) q^{3} +(-7.38325 + 0.776011i) q^{4} +(10.8983 - 2.49552i) q^{5} +(4.34381 - 5.97873i) q^{6} +(2.54741 - 18.3442i) q^{7} +(11.5626 - 1.83134i) q^{8} +(-14.0969 - 66.3205i) q^{9} +(-8.16134 + 2.32442i) q^{10} +(32.3675 + 6.87992i) q^{11} +(39.3687 - 60.6225i) q^{12} +(-26.8007 + 13.6556i) q^{13} +(-1.20215 + 14.0054i) q^{14} +(-47.8957 + 97.7562i) q^{15} +(49.4022 - 10.5008i) q^{16} +(-20.5510 + 53.5371i) q^{17} +(13.3193 + 49.7084i) q^{18} +(7.59237 - 72.2366i) q^{19} +(-78.5281 + 26.8822i) q^{20} +(123.198 + 131.679i) q^{21} +(-24.8066 - 3.92898i) q^{22} +(2.68398 + 51.2135i) q^{23} +(-56.9923 + 98.7136i) q^{24} +(112.545 - 54.3937i) q^{25} +(19.7715 - 11.4151i) q^{26} +(353.975 + 180.359i) q^{27} +(-4.57285 + 137.417i) q^{28} +(132.793 + 182.775i) q^{29} +(32.4199 - 75.9979i) q^{30} +(-109.713 - 246.419i) q^{31} +(-127.491 + 34.1611i) q^{32} +(-250.390 + 202.762i) q^{33} +(13.4502 - 41.3954i) q^{34} +(-18.0160 - 206.278i) q^{35} +(155.546 + 478.721i) q^{36} +(233.258 + 151.480i) q^{37} +(-2.88526 + 55.0541i) q^{38} +(60.8911 - 286.470i) q^{39} +(121.443 - 48.8133i) q^{40} +(-145.309 - 47.2138i) q^{41} +(-98.6098 - 94.9140i) q^{42} +(234.929 - 234.929i) q^{43} +(-244.316 - 25.6787i) q^{44} +(-319.136 - 687.600i) q^{45} +(-4.06871 - 38.7112i) q^{46} +(276.801 - 106.254i) q^{47} +(-223.253 + 438.159i) q^{48} +(-330.021 - 93.4606i) q^{49} +(-83.1439 + 45.6990i) q^{50} +(-279.179 - 483.552i) q^{51} +(187.279 - 121.621i) q^{52} +(407.159 + 329.711i) q^{53} +(-275.464 - 122.644i) q^{54} +(369.919 - 5.79445i) q^{55} +(-4.13976 - 216.773i) q^{56} +(500.077 + 500.077i) q^{57} +(-107.913 - 133.261i) q^{58} +(371.186 + 412.244i) q^{59} +(277.766 - 758.926i) q^{60} +(79.3325 + 71.4313i) q^{61} +(92.9464 + 182.418i) q^{62} +(-1252.51 + 89.6504i) q^{63} +(-288.995 + 93.9003i) q^{64} +(-258.004 + 215.705i) q^{65} +(181.731 - 163.632i) q^{66} +(-69.2096 - 26.5671i) q^{67} +(110.188 - 411.226i) q^{68} +(-403.968 - 293.500i) q^{69} +(21.8494 + 155.635i) q^{70} +(646.549 - 469.746i) q^{71} +(-284.452 - 741.024i) q^{72} +(382.526 + 589.039i) q^{73} +(-182.818 - 105.550i) q^{74} +(-278.028 + 1184.90i) q^{75} +539.232i q^{76} +(208.660 - 576.231i) q^{77} +(-34.7736 + 219.552i) q^{78} +(194.697 - 437.297i) q^{79} +(512.194 - 237.724i) q^{80} +(-1861.32 + 828.714i) q^{81} +(112.014 + 30.0141i) q^{82} +(67.8602 + 428.453i) q^{83} +(-1011.78 - 876.618i) q^{84} +(-90.3672 + 634.748i) q^{85} +(-168.735 + 187.399i) q^{86} +(-2196.70 - 115.124i) q^{87} +(386.853 + 20.2741i) q^{88} +(85.3692 - 94.8122i) q^{89} +(269.206 + 508.497i) q^{90} +(182.230 + 526.425i) q^{91} +(-59.5587 - 376.039i) q^{92} +(2536.86 + 679.749i) q^{93} +(-205.583 + 91.5316i) q^{94} +(-97.5241 - 806.201i) q^{95} +(522.706 - 1174.02i) q^{96} +(-35.2334 + 222.455i) q^{97} +(253.856 + 57.7300i) q^{98} -2243.61i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 928 q - 8 q^{2} - 24 q^{3} - 10 q^{4} - 24 q^{7} + 84 q^{8} - 10 q^{9} - 96 q^{10} - 6 q^{11} - 72 q^{12} - 20 q^{14} - 368 q^{15} - 1670 q^{16} + 120 q^{17} - 14 q^{18} - 30 q^{19} - 12 q^{21} - 880 q^{22}+ \cdots - 19478 q^{98}+O(q^{100}) \) 928 * q - 8 * q^2 - 24 * q^3 - 10 * q^4 - 24 * q^7 + 84 * q^8 - 10 * q^9 - 96 * q^10 - 6 * q^11 - 72 * q^12 - 20 * q^14 - 368 * q^15 - 1670 * q^16 + 120 * q^17 - 14 * q^18 - 30 * q^19 - 12 * q^21 - 880 * q^22 + 296 * q^23 + 32 * q^25 - 48 * q^26 + 226 * q^28 - 200 * q^29 - 38 * q^30 - 18 * q^31 - 964 * q^32 - 1092 * q^33 + 288 * q^35 + 7400 * q^36 - 392 * q^37 + 5424 * q^38 + 2430 * q^39 + 2172 * q^40 - 2098 * q^42 + 1560 * q^43 - 10 * q^44 - 4224 * q^45 - 6 * q^46 + 96 * q^47 + 6232 * q^50 - 16 * q^51 - 8928 * q^52 - 2384 * q^53 - 30 * q^54 + 244 * q^56 + 1556 * q^57 + 640 * q^58 + 4890 * q^59 + 3676 * q^60 - 18 * q^61 + 224 * q^63 - 9700 * q^64 - 1116 * q^65 - 2610 * q^66 - 2404 * q^67 - 13614 * q^68 - 1700 * q^70 - 24 * q^71 - 518 * q^72 - 4200 * q^73 - 16104 * q^75 - 722 * q^77 - 356 * q^78 - 10 * q^79 + 6414 * q^80 - 6810 * q^81 + 1692 * q^82 + 20620 * q^84 + 2712 * q^85 - 6 * q^86 + 9102 * q^87 + 1650 * q^88 + 20370 * q^89 - 12 * q^91 + 1612 * q^92 - 4604 * q^93 - 30 * q^94 + 1652 * q^95 - 2610 * q^96 - 19478 * q^98

Introduction

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