LMFDB - Embedded newform 75.3.k.a.58.8

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [75,3,Mod(13,75)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(75, base_ring=CyclotomicField(20))

chi = DirichletCharacter(H, H._module([0, 19]))

N = Newforms(chi, 3, names="a")

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

chi := DirichletCharacter("75.13");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 75 = 3 \cdot 5^{2} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	75.k (of order $20$, degree $8$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.04360198270$
Analytic rank:	$0$
Dimension:	$80$
Relative dimension:	$10$ over $\Q(\zeta_{20})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label			58.8
Character	$\chi$	$=$	75.58
Dual form			75.3.k.a.22.8

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.53105 + 0.780110i) q^{2} +(1.71073 + 0.270952i) q^{3} +(-0.615594 - 0.847292i) q^{4} +(4.34778 + 2.46917i) q^{5} +(2.40784 + 1.74940i) q^{6} +(-3.26334 + 3.26334i) q^{7} +(-1.35675 - 8.56621i) q^{8} +(2.85317 + 0.927051i) q^{9} +O(q^{10})$	\(q+(1.53105 + 0.780110i) q^{2} +(1.71073 + 0.270952i) q^{3} +(-0.615594 - 0.847292i) q^{4} +(4.34778 + 2.46917i) q^{5} +(2.40784 + 1.74940i) q^{6} +(-3.26334 + 3.26334i) q^{7} +(-1.35675 - 8.56621i) q^{8} +(2.85317 + 0.927051i) q^{9} +(4.73046 + 7.17217i) q^{10} +(-0.839821 - 2.58470i) q^{11} +(-0.823537 - 1.61628i) q^{12} +(-3.75350 + 1.91251i) q^{13} +(-7.54211 + 2.45058i) q^{14} +(6.76884 + 5.40211i) q^{15} +(3.31078 - 10.1895i) q^{16} +(-32.4619 + 5.14147i) q^{17} +(3.64515 + 3.64515i) q^{18} +(4.05737 - 5.58450i) q^{19} +(-0.584364 - 5.20385i) q^{20} +(-6.46690 + 4.69848i) q^{21} +(0.730543 - 4.61246i) q^{22} +(13.0002 - 25.5143i) q^{23} -15.0221i q^{24} +(12.8064 + 21.4708i) q^{25} -7.23877 q^{26} +(4.62981 + 2.35900i) q^{27} +(4.77390 + 0.756111i) q^{28} +(-9.24779 - 12.7285i) q^{29} +(6.14921 + 13.5513i) q^{30} +(-11.2122 - 8.14616i) q^{31} +(-11.5130 + 11.5130i) q^{32} +(-0.736372 - 4.64927i) q^{33} +(-53.7118 - 17.4520i) q^{34} +(-22.2460 + 6.13057i) q^{35} +(-0.970911 - 2.98816i) q^{36} +(22.7738 + 44.6962i) q^{37} +(10.5686 - 5.38495i) q^{38} +(-6.93941 + 2.25475i) q^{39} +(15.2525 - 40.5941i) q^{40} +(10.4083 - 32.0334i) q^{41} +(-13.5665 + 2.14872i) q^{42} +(51.3622 + 51.3622i) q^{43} +(-1.67301 + 2.30270i) q^{44} +(10.1159 + 11.0756i) q^{45} +(39.8079 - 28.9221i) q^{46} +(-4.27802 + 27.0103i) q^{47} +(8.42471 - 16.5344i) q^{48} +27.7012i q^{49} +(2.85774 + 42.8633i) q^{50} -56.9266 q^{51} +(3.93108 + 2.00299i) q^{52} +(34.9094 + 5.52911i) q^{53} +(5.24819 + 7.22351i) q^{54} +(2.73070 - 13.3114i) q^{55} +(32.3820 + 23.5269i) q^{56} +(8.45419 - 8.45419i) q^{57} +(-4.22922 - 26.7023i) q^{58} +(68.9757 + 22.4116i) q^{59} +(0.410309 - 9.06069i) q^{60} +(-15.8811 - 48.8771i) q^{61} +(-10.8116 - 21.2190i) q^{62} +(-12.3362 + 6.28559i) q^{63} +(-67.3665 + 21.8887i) q^{64} +(-21.0417 - 0.952863i) q^{65} +(2.49952 - 7.69272i) q^{66} +(51.4800 - 8.15363i) q^{67} +(24.3397 + 24.3397i) q^{68} +(29.1529 - 40.1255i) q^{69} +(-38.8424 - 7.96813i) q^{70} +(42.2825 - 30.7201i) q^{71} +(4.07026 - 25.6986i) q^{72} +(-57.8536 + 113.544i) q^{73} +86.1983i q^{74} +(16.0908 + 40.2006i) q^{75} -7.22940 q^{76} +(11.1754 + 5.69415i) q^{77} +(-12.3836 - 1.96136i) q^{78} +(-62.7053 - 86.3064i) q^{79} +(39.5542 - 36.1270i) q^{80} +(7.28115 + 5.29007i) q^{81} +(40.9252 - 40.9252i) q^{82} +(-23.3012 - 147.118i) q^{83} +(7.96197 + 2.58700i) q^{84} +(-153.833 - 57.7999i) q^{85} +(38.5700 + 118.706i) q^{86} +(-12.3716 - 24.2807i) q^{87} +(-21.0017 + 10.7009i) q^{88} +(5.05736 - 1.64324i) q^{89} +(6.84784 + 24.8488i) q^{90} +(6.00781 - 18.4901i) q^{91} +(-29.6209 + 4.69149i) q^{92} +(-16.9738 - 16.9738i) q^{93} +(-27.6209 + 38.0169i) q^{94} +(31.4296 - 14.2619i) q^{95} +(-22.8151 + 16.5761i) q^{96} +(2.60158 - 16.4257i) q^{97} +(-21.6100 + 42.4119i) q^{98} -8.15315i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	$ 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) $ 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{3}{20}\right)$

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 $

$2$	1.53105	+	0.780110i	0.765526	+	0.390055i	0.792728	−	0.609575i	$-0.208660\pi$
$2$	1.53105	+	0.780110i	0.765526	+	0.390055i	−0.0272026	+	0.999630i	$0.508660\pi$
$3$	1.71073	+	0.270952i	0.570242	+	0.0903175i
$3$	1.71073	+	0.270952i	0.570242	+	0.0903175i
$4$	−0.615594	−	0.847292i	−0.153898	−	0.211823i
$5$	4.34778	+	2.46917i	0.869557	+	0.493833i
$5$	4.34778	+	2.46917i	0.869557	+	0.493833i
$6$	2.40784	+	1.74940i	0.401306	+	0.291566i
$7$	−3.26334	+	3.26334i	−0.466192	+	0.466192i	−0.900678	−	0.434486i	$-0.856930\pi$
$7$	−3.26334	+	3.26334i	−0.466192	+	0.466192i	0.434486	+	0.900678i	$0.356930\pi$
$8$	−1.35675	−	8.56621i	−0.169594	−	1.07078i
$9$	2.85317	+	0.927051i	0.317019	+	0.103006i
$10$	4.73046	+	7.17217i	0.473046	+	0.717217i
$11$	−0.839821	−	2.58470i	−0.0763473	−	0.234973i	0.905598	−	0.424137i	$-0.139422\pi$
$11$	−0.839821	−	2.58470i	−0.0763473	−	0.234973i	−0.981946	+	0.189164i	$0.939422\pi$
$12$	−0.823537	−	1.61628i	−0.0686281	−	0.134690i
$13$	−3.75350	+	1.91251i	−0.288731	+	0.147116i	−0.592357	−	0.805675i	$-0.701803\pi$
$13$	−3.75350	+	1.91251i	−0.288731	+	0.147116i	0.303626	+	0.952791i	$0.401803\pi$
$14$	−7.54211	+	2.45058i	−0.538722	+	0.175041i
$15$	6.76884	+	5.40211i	0.451256	+	0.360141i
$16$	3.31078	−	10.1895i	0.206923	−	0.636845i
$17$	−32.4619	+	5.14147i	−1.90953	+	0.302439i	−0.994818	−	0.101675i	$-0.967580\pi$
$17$	−32.4619	+	5.14147i	−1.90953	+	0.302439i	−0.914708	+	0.404115i	$0.867580\pi$
$18$	3.64515	+	3.64515i	0.202508	+	0.202508i
$19$	4.05737	−	5.58450i	0.213546	−	0.293921i	−0.688784	−	0.724967i	$-0.741855\pi$
$19$	4.05737	−	5.58450i	0.213546	−	0.293921i	0.902330	+	0.431046i	$0.141855\pi$
$20$	−0.584364	−	5.20385i	−0.0292182	−	0.260192i
$21$	−6.46690	+	4.69848i	−0.307948	+	0.223737i
$22$	0.730543	−	4.61246i	0.0332065	−	0.209657i
$23$	13.0002	−	25.5143i	0.565225	−	1.10932i	−0.414701	−	0.909958i	$-0.636114\pi$
$23$	13.0002	−	25.5143i	0.565225	−	1.10932i	0.979926	−	0.199360i	$-0.0638862\pi$
$24$		−	15.0221i		−	0.625919i
$25$	12.8064	+	21.4708i	0.512258	+	0.858832i
$26$	−7.23877			−0.278414
$27$	4.62981	+	2.35900i	0.171474	+	0.0873705i
$28$	4.77390	+	0.756111i	0.170496	+	0.0270040i
$29$	−9.24779	−	12.7285i	−0.318889	−	0.438913i	0.619238	−	0.785203i	$-0.287441\pi$
$29$	−9.24779	−	12.7285i	−0.318889	−	0.438913i	−0.938128	+	0.346290i	$0.887441\pi$
$30$	6.14921	+	13.5513i	0.204974	+	0.451712i
$31$	−11.2122	−	8.14616i	−0.361685	−	0.262779i	0.392070	−	0.919936i	$-0.371759\pi$
$31$	−11.2122	−	8.14616i	−0.361685	−	0.262779i	−0.753755	+	0.657156i	$0.771759\pi$
$32$	−11.5130	+	11.5130i	−0.359782	+	0.359782i
$33$	−0.736372	−	4.64927i	−0.0223143	−	0.140887i
$34$	−53.7118	−	17.4520i	−1.57976	−	0.513295i
$35$	−22.2460	+	6.13057i	−0.635601	+	0.175159i
$36$	−0.970911	−	2.98816i	−0.0269697	−	0.0830043i
$37$	22.7738	+	44.6962i	0.615509	+	1.20801i	0.962792	+	0.270245i	$0.0871046\pi$
$37$	22.7738	+	44.6962i	0.615509	+	1.20801i	−0.347282	+	0.937761i	$0.612895\pi$
$38$	10.5686	−	5.38495i	0.278120	−	0.141709i
$39$	−6.93941	+	2.25475i	−0.177934	+	0.0578142i
$40$	15.2525	−	40.5941i	0.381313	−	1.01485i
$41$	10.4083	−	32.0334i	0.253861	−	0.781303i	−0.740191	−	0.672396i	$-0.765265\pi$
$41$	10.4083	−	32.0334i	0.253861	−	0.781303i	0.994052	−	0.108906i	$-0.0347349\pi$
$42$	−13.5665	+	2.14872i	−0.323011	+	0.0511600i
$43$	51.3622	+	51.3622i	1.19447	+	1.19447i	0.975799	+	0.218670i	$0.0701718\pi$
$43$	51.3622	+	51.3622i	1.19447	+	1.19447i	0.218670	+	0.975799i	$0.429828\pi$
$44$	−1.67301	+	2.30270i	−0.0380230	+	0.0523341i
$45$	10.1159	+	11.0756i	0.224798	+	0.246124i
$46$	39.8079	−	28.9221i	0.865389	−	0.628742i
$47$	−4.27802	+	27.0103i	−0.0910216	+	0.574688i	0.899456	+	0.437012i	$0.143963\pi$
$47$	−4.27802	+	27.0103i	−0.0910216	+	0.574688i	−0.990477	+	0.137676i	$0.956037\pi$
$48$	8.42471	−	16.5344i	0.175515	−	0.344467i
$49$			27.7012i			0.565330i
$50$	2.85774	+	42.8633i	0.0571549	+	0.857266i
$51$	−56.9266			−1.11621
$52$	3.93108	+	2.00299i	0.0755978	+	0.0385190i
$53$	34.9094	+	5.52911i	0.658668	+	0.104323i	0.476816	−	0.879003i	$-0.341791\pi$
$53$	34.9094	+	5.52911i	0.658668	+	0.104323i	0.181852	+	0.983326i	$0.441791\pi$
$54$	5.24819	+	7.22351i	0.0971887	+	0.133769i
$55$	2.73070	−	13.3114i	0.0496491	−	0.242025i
$56$	32.3820	+	23.5269i	0.578251	+	0.420124i
$57$	8.45419	−	8.45419i	0.148319	−	0.148319i
$58$	−4.22922	−	26.7023i	−0.0729176	−	0.460384i
$59$	68.9757	+	22.4116i	1.16908	+	0.379857i	0.828299	−	0.560286i	$-0.189309\pi$
$59$	68.9757	+	22.4116i	1.16908	+	0.379857i	0.340780	+	0.940143i	$0.389309\pi$
$60$	0.410309	−	9.06069i	0.00683848	−	0.151012i
$61$	−15.8811	−	48.8771i	−0.260347	−	0.801264i	−0.992729	−	0.120371i	$-0.961592\pi$
$61$	−15.8811	−	48.8771i	−0.260347	−	0.801264i	0.732382	−	0.680894i	$-0.238408\pi$
$62$	−10.8116	−	21.2190i	−0.174381	−	0.342241i
$63$	−12.3362	+	6.28559i	−0.195812	+	0.0997712i
$64$	−67.3665	+	21.8887i	−1.05260	+	0.342011i
$65$	−21.0417	−	0.952863i	−0.323719	−	0.0146594i
$66$	2.49952	−	7.69272i	0.0378715	−	0.116556i
$67$	51.4800	−	8.15363i	0.768358	−	0.121696i	0.240064	−	0.970757i	$-0.422832\pi$
$67$	51.4800	−	8.15363i	0.768358	−	0.121696i	0.528294	+	0.849061i	$0.322832\pi$
$68$	24.3397	+	24.3397i	0.357937	+	0.357937i
$69$	29.1529	−	40.1255i	0.422506	−	0.581530i
$70$	−38.8424	−	7.96813i	−0.554891	−	0.113830i
$71$	42.2825	−	30.7201i	0.595529	−	0.432677i	−0.248760	−	0.968565i	$-0.580023\pi$
$71$	42.2825	−	30.7201i	0.595529	−	0.432677i	0.844289	+	0.535888i	$0.180023\pi$
$72$	4.07026	−	25.6986i	0.0565314	−	0.356926i
$73$	−57.8536	+	113.544i	−0.792515	+	1.55540i	0.0385727	+	0.999256i	$0.487719\pi$
$73$	−57.8536	+	113.544i	−0.792515	+	1.55540i	−0.831087	+	0.556142i	$0.812281\pi$
$74$			86.1983i			1.16484i
$75$	16.0908	+	40.2006i	0.214543	+	0.536008i
$76$	−7.22940			−0.0951236
$77$	11.1754	+	5.69415i	0.145135	+	0.0739500i
$78$	−12.3836	−	1.96136i	−0.158764	−	0.0251457i
$79$	−62.7053	−	86.3064i	−0.793738	−	1.09249i	−0.993633	−	0.112669i	$-0.964060\pi$
$79$	−62.7053	−	86.3064i	−0.793738	−	1.09249i	0.199894	−	0.979817i	$-0.435940\pi$
$80$	39.5542	−	36.1270i	0.494427	−	0.451587i
$81$	7.28115	+	5.29007i	0.0898908	+	0.0653095i
$82$	40.9252	−	40.9252i	0.499088	−	0.499088i
$83$	−23.3012	−	147.118i	−0.280738	−	1.77251i	−0.576354	−	0.817200i	$-0.695525\pi$
$83$	−23.3012	−	147.118i	−0.280738	−	1.77251i	0.295616	−	0.955307i	$-0.404475\pi$
$84$	7.96197	+	2.58700i	0.0947853	+	0.0307976i
$85$	−153.833	−	57.7999i	−1.80980	−	0.679999i
$86$	38.5700	+	118.706i	0.448488	+	1.38030i
$87$	−12.3716	−	24.2807i	−0.142203	−	0.279088i
$88$	−21.0017	+	10.7009i	−0.238655	+	0.121601i
$89$	5.05736	−	1.64324i	0.0568243	−	0.0184633i	−0.280467	−	0.959864i	$-0.590489\pi$
$89$	5.05736	−	1.64324i	0.0568243	−	0.0184633i	0.337291	+	0.941400i	$0.390489\pi$
$90$	6.84784	+	24.8488i	0.0760871	+	0.276098i
$91$	6.00781	−	18.4901i	0.0660199	−	0.203188i
$92$	−29.6209	+	4.69149i	−0.321966	+	0.0509945i
$93$	−16.9738	−	16.9738i	−0.182514	−	0.182514i
$94$	−27.6209	+	38.0169i	−0.293839	+	0.404435i
$95$	31.4296	−	14.2619i	0.330838	−	0.150125i
$96$	−22.8151	+	16.5761i	−0.237657	+	0.172668i
$97$	2.60158	−	16.4257i	0.0268204	−	0.169337i	−0.970642	−	0.240527i	$-0.922680\pi$
$97$	2.60158	−	16.4257i	0.0268204	−	0.169337i	0.997463	+	0.0711899i	$0.0226796\pi$
$98$	−21.6100	+	42.4119i	−0.220510	+	0.432775i
$99$		−	8.15315i		−	0.0823551i
$100$	10.3085	−	24.0681i	0.103085	−	0.240681i
$101$	−174.421			−1.72694			−0.863472	−	0.504398i	$-0.831715\pi$
$101$	−174.421			−1.72694			−0.863472	+	0.504398i	$0.831715\pi$
$102$	−87.1575	−	44.4090i	−0.854486	−	0.435382i
$103$	−155.020	−	24.5527i	−1.50504	−	0.238376i	−0.651201	−	0.758905i	$-0.725734\pi$
$103$	−155.020	−	24.5527i	−1.50504	−	0.238376i	−0.853844	+	0.520530i	$0.825734\pi$
$104$	21.4755	+	29.5585i	0.206495	+	0.284216i
$105$	−39.7180	+	4.46011i	−0.378267	+	0.0424773i
$106$	49.1348	+	35.6985i	0.463536	+	0.336778i
$107$	23.9958	−	23.9958i	0.224260	−	0.224260i	−0.586030	−	0.810289i	$-0.699310\pi$
$107$	23.9958	−	23.9958i	0.224260	−	0.224260i	0.810289	+	0.586030i	$0.199310\pi$
$108$	−0.851314	−	5.37499i	−0.00788254	−	0.0497684i
$109$	100.330	+	32.5991i	0.920456	+	0.299074i	0.730654	−	0.682748i	$-0.239215\pi$
$109$	100.330	+	32.5991i	0.920456	+	0.299074i	0.189802	+	0.981822i	$0.439215\pi$
$110$	14.5652	−	18.2502i	0.132411	−	0.165911i
$111$	26.8493	+	82.6336i	0.241885	+	0.744447i
$112$	22.4477	+	44.0561i	0.200426	+	0.393358i
$113$	−62.6347	+	31.9140i	−0.554290	+	0.282425i	−0.708615	−	0.705595i	$-0.750680\pi$
$113$	−62.6347	+	31.9140i	−0.554290	+	0.282425i	0.154325	+	0.988020i	$0.450680\pi$
$114$	19.5390	−	6.34860i	0.171395	−	0.0556895i
$115$	119.521	−	78.8310i	1.03931	−	0.685487i
$116$	−5.09187	+	15.6712i	−0.0438954	+	0.135096i
$117$	−12.4824	+	1.97701i	−0.106687	+	0.0168975i
$118$	88.1218	+	88.1218i	0.746795	+	0.746795i
$119$	89.1561	−	122.713i	0.749211	−	1.03120i
$120$	37.0920	−	65.3127i	0.309100	−	0.544272i
$121$	91.9157	−	66.7806i	0.759634	−	0.551906i
$122$	13.8147	−	87.2224i	0.113235	−	0.714938i
$123$	26.4853	−	51.9802i	0.215327	−	0.422604i
$124$			14.5148i			0.117055i
$125$	2.66467	+	124.972i	0.0213174	+	0.999773i
$126$	−23.7907			−0.188815
$127$	115.123	+	58.6580i	0.906479	+	0.461874i	0.844104	−	0.536179i	$-0.180133\pi$
$127$	115.123	+	58.6580i	0.906479	+	0.461874i	0.0623745	+	0.998053i	$0.480133\pi$
$128$	−55.8916	−	8.85235i	−0.436653	−	0.0691590i
$129$	73.9499	+	101.783i	0.573255	+	0.789018i
$130$	−31.4726	−	17.8737i	−0.242097	−	0.137490i
$131$	22.9597	+	16.6812i	0.175265	+	0.127337i	0.671959	−	0.740588i	$-0.265453\pi$
$131$	22.9597	+	16.6812i	0.175265	+	0.127337i	−0.496694	+	0.867925i	$0.665453\pi$
$132$	−3.48598	+	3.48598i	−0.0264090	+	0.0264090i
$133$	4.98352	+	31.4647i	0.0374701	+	0.236577i
$134$	85.1792	+	27.6764i	0.635666	+	0.206540i
$135$	14.3046	+	21.6882i	0.105960	+	0.160653i
$136$	88.0858	+	271.100i	0.647690	+	1.99338i
$137$	−52.3724	−	102.787i	−0.382280	−	0.750267i	0.617048	−	0.786926i	$-0.288329\pi$
$137$	−52.3724	−	102.787i	−0.382280	−	0.750267i	−0.999328	+	0.0366586i	$0.988329\pi$
$138$	75.9369	−	38.6918i	0.550268	−	0.280375i
$139$	144.573	−	46.9746i	1.04009	−	0.337947i	0.261320	−	0.965252i	$-0.415842\pi$
$139$	144.573	−	46.9746i	1.04009	−	0.337947i	0.778774	+	0.627305i	$0.215842\pi$
$140$	18.8889	+	15.0750i	0.134921	+	0.107678i
$141$	−14.6370	+	45.0481i	−0.103809	+	0.319490i
$142$	88.7017	−	14.0490i	0.624660	−	0.0989364i
$143$	8.09553	+	8.09553i	0.0566121	+	0.0566121i
$144$	18.8924	−	26.0032i	0.131197	−	0.180578i
$145$	−8.77863	−	78.1750i	−0.0605423	−	0.539138i
$146$	−177.154	+	128.710i	−1.21338	+	0.881573i
$147$	−7.50570	+	47.3891i	−0.0510592	+	0.322375i
$148$	23.8513	−	46.8108i	0.161157	−	0.316289i
$149$		−	126.165i		−	0.846745i	−0.905956	−	0.423373i	$-0.860846\pi$
$149$		−	126.165i		−	0.846745i	0.905956	−	0.423373i	$-0.139154\pi$
$150$	−6.72510	+	74.1017i	−0.0448340	+	0.494011i
$151$	−126.483			−0.837637			−0.418819	−	0.908070i	$-0.637556\pi$
$151$	−126.483			−0.837637			−0.418819	+	0.908070i	$0.637556\pi$
$152$	−53.3428	−	27.1795i	−0.350940	−	0.178813i
$153$	−97.3858	−	15.4244i	−0.636509	−	0.100813i
$154$	12.6680	+	17.4361i	0.0822600	+	0.113221i
$155$	−28.6341	−	63.1026i	−0.184736	−	0.407114i
$156$	6.18230	+	4.49170i	0.0396301	+	0.0287930i
$157$	−90.5901	+	90.5901i	−0.577007	+	0.577007i	−0.934077	−	0.357071i	$-0.883776\pi$
$157$	−90.5901	+	90.5901i	−0.577007	+	0.577007i	0.357071	+	0.934077i	$0.383776\pi$
$158$	−28.6766	−	181.057i	−0.181497	−	1.14593i
$159$	58.2223	+	18.9176i	0.366178	+	0.118978i
$160$	−78.4836	+	21.6285i	−0.490523	+	0.135178i
$161$	40.8378	+	125.686i	0.253651	+	0.780658i
$162$	7.02099	+	13.7795i	0.0433394	+	0.0850584i
$163$	−30.2501	+	15.4132i	−0.185583	+	0.0945593i	−0.544313	−	0.838882i	$-0.683210\pi$
$163$	−30.2501	+	15.4132i	−0.185583	+	0.0945593i	0.358730	+	0.933441i	$0.383210\pi$
$164$	−33.5489	+	10.9007i	−0.204567	+	0.0664677i
$165$	8.27823	−	22.0322i	0.0501711	−	0.133529i
$166$	79.0929	−	243.423i	0.476463	−	1.46640i
$167$	45.8890	−	7.26810i	0.274784	−	0.0435216i	−0.0175214	−	0.999846i	$-0.505578\pi$
$167$	45.8890	−	7.26810i	0.274784	−	0.0435216i	0.292306	+	0.956325i	$0.405578\pi$
$168$	49.0221	+	49.0221i	0.291798	+	0.291798i
$169$	−88.9046	+	122.367i	−0.526063	+	0.724063i
$170$	−190.435	−	208.501i	−1.12021	−	1.22648i
$171$	16.7535	−	12.1721i	0.0979736	−	0.0711820i
$172$	11.9005	−	75.1370i	0.0691891	−	0.436843i
$173$	−137.301	+	269.468i	−0.793648	+	1.55762i	0.0360118	+	0.999351i	$0.488535\pi$
$173$	−137.301	+	269.468i	−0.793648	+	1.55762i	−0.829659	+	0.558270i	$0.811465\pi$
$174$		−	46.8262i		−	0.269116i
$175$	−111.858	−	28.2748i	−0.639191	−	0.161570i
$176$	−29.1173			−0.165439
$177$	111.926	+	57.0292i	0.632351	+	0.322199i
$178$	9.02498	+	1.42942i	0.0507021	+	0.00803043i
$179$	−97.2960	−	133.916i	−0.543553	−	0.748137i	0.445567	−	0.895249i	$-0.353002\pi$
$179$	−97.2960	−	133.916i	−0.543553	−	0.748137i	−0.989120	+	0.147112i	$0.953002\pi$
$180$	3.15694	−	15.3892i	0.0175386	−	0.0854955i
$181$	54.7443	+	39.7740i	0.302455	+	0.219746i	0.728652	−	0.684884i	$-0.240147\pi$
$181$	54.7443	+	39.7740i	0.302455	+	0.219746i	−0.426198	+	0.904630i	$0.640147\pi$
$182$	23.6226	−	23.6226i	0.129794	−	0.129794i
$183$	−13.9249	−	87.9184i	−0.0760924	−	0.480429i
$184$	−236.199	−	76.7457i	−1.28369	−	0.417096i
$185$	−11.3466	+	250.562i	−0.0613327	+	1.35439i
$186$	−12.7464	−	39.2293i	−0.0685288	−	0.210910i
$187$	40.5514	+	79.5866i	0.216852	+	0.425597i
$188$	25.5192	−	13.0027i	0.135740	−	0.0691631i
$189$	−22.8069	+	7.41041i	−0.120671	+	0.0392085i
$190$	59.2462	+	2.68293i	0.311822	+	0.0141207i
$191$	82.2970	−	253.284i	0.430875	−	1.32610i	−0.466381	−	0.884584i	$-0.654442\pi$
$191$	82.2970	−	253.284i	0.430875	−	1.32610i	0.897256	−	0.441512i	$-0.145558\pi$
$192$	−121.176	+	19.1925i	−0.631127	+	0.0999608i
$193$	−7.02497	−	7.02497i	−0.0363988	−	0.0363988i	0.688673	−	0.725072i	$-0.258194\pi$
$193$	−7.02497	−	7.02497i	−0.0363988	−	0.0363988i	−0.725072	+	0.688673i	$0.758194\pi$
$194$	16.7970	−	23.1191i	0.0865826	−	0.119171i
$195$	−35.7384	−	7.33139i	−0.183274	−	0.0375969i
$196$	23.4710	−	17.0527i	0.119750	−	0.0870035i
$197$	−5.94726	+	37.5495i	−0.0301891	+	0.190607i	−0.998174	−	0.0604012i	$-0.980762\pi$
$197$	−5.94726	+	37.5495i	−0.0301891	+	0.190607i	0.967985	+	0.251008i	$0.0807620\pi$
$198$	6.36035	−	12.4829i	0.0321230	−	0.0630449i
$199$			291.638i			1.46552i	0.680488	+	0.732759i	$0.261768\pi$
$199$			291.638i			1.46552i	−0.680488	+	0.732759i	$0.738232\pi$
$200$	166.548	−	138.833i	0.832741	−	0.694166i
$201$	90.2774			0.449141
$202$	−267.048	−	136.068i	−1.32202	−	0.673602i
$203$	71.7161	+	11.3587i	0.353281	+	0.0559543i
$204$	35.0437	+	48.2335i	0.171783	+	0.236439i
$205$	124.349	−	113.575i	0.606579	−	0.554022i
$206$	−218.189	−	158.524i	−1.05917	−	0.769532i
$207$	60.7448	−	60.7448i	0.293453	−	0.293453i
$208$	7.06050	+	44.5783i	0.0339447	+	0.214319i
$209$	−17.8417	−	5.79713i	−0.0853671	−	0.0277375i
$210$	−64.2897	−	24.1557i	−0.306141	−	0.115027i
$211$	−22.2058	−	68.3425i	−0.105241	−	0.323898i	0.884546	−	0.466453i	$-0.154468\pi$
$211$	−22.2058	−	68.3425i	−0.105241	−	0.323898i	−0.989787	+	0.142555i	$0.954468\pi$
$212$	−16.8052	−	32.9821i	−0.0792700	−	0.155576i
$213$	80.6575	−	41.0971i	0.378674	−	0.192944i
$214$	55.4581	−	18.0194i	0.259150	−	0.0842029i
$215$	96.4899	+	350.133i	0.448790	+	1.62853i
$216$	13.9262	−	42.8605i	0.0644732	−	0.198428i
$217$	63.1731	−	10.0056i	0.291120	−	0.0461089i
$218$	128.179	+	128.179i	0.587977	+	0.587977i
$219$	−129.737	+	178.567i	−0.592405	+	0.815375i
$220$	−12.9596	+	5.88070i	−0.0589074	+	0.0267305i
$221$	112.013	−	81.3821i	0.506846	−	0.368245i
$222$	−23.3556	+	147.462i	−0.105206	+	0.664242i
$223$	40.3119	−	79.1166i	0.180771	−	0.354783i	−0.782784	−	0.622294i	$-0.786201\pi$
$223$	40.3119	−	79.1166i	0.180771	−	0.354783i	0.963555	+	0.267510i	$0.0862010\pi$
$224$		−	75.1418i		−	0.335455i
$225$	16.6344	+	73.1320i	0.0739308	+	0.325031i
$226$	−120.793			−0.534484
$227$	250.154	+	127.460i	1.10200	+	0.561498i	0.907774	−	0.419459i	$-0.137780\pi$
$227$	250.154	+	127.460i	1.10200	+	0.561498i	0.194227	+	0.980957i	$0.437780\pi$
$228$	−12.3675	−	1.95882i	−0.0542435	−	0.00859133i
$229$	−63.0991	−	86.8485i	−0.275542	−	0.379251i	0.648709	−	0.761037i	$-0.275309\pi$
$229$	−63.0991	−	86.8485i	−0.275542	−	0.379251i	−0.924251	+	0.381786i	$0.875309\pi$
$230$	244.490	−	27.4549i	1.06300	−	0.119369i
$231$	17.5752	+	12.7691i	0.0760831	+	0.0552776i
$232$	−96.4879	+	96.4879i	−0.415896	+	0.415896i
$233$	8.72697	+	55.0999i	0.0374548	+	0.236480i	0.999313	−	0.0370693i	$-0.0118022\pi$
$233$	8.72697	+	55.0999i	0.0374548	+	0.236480i	−0.961858	+	0.273550i	$0.911802\pi$
$234$	−20.6534	−	6.71071i	−0.0882625	−	0.0286782i
$235$	−85.2929	+	106.872i	−0.362948	+	0.454774i
$236$	−23.4719	−	72.2390i	−0.0994571	−	0.306097i
$237$	−83.8867	−	164.637i	−0.353952	−	0.694670i
$238$	232.232	−	118.328i	0.975765	−	0.497177i
$239$	−414.867	+	134.799i	−1.73585	+	0.564010i	−0.994274	−	0.106863i	$-0.965919\pi$
$239$	−414.867	+	134.799i	−1.73585	+	0.564010i	−0.741572	+	0.670873i	$0.765919\pi$
$240$	77.4550	−	51.0861i	0.322729	−	0.212859i
$241$	85.4069	−	262.855i	0.354385	−	1.09069i	−0.601980	−	0.798511i	$-0.705621\pi$
$241$	85.4069	−	262.855i	0.354385	−	1.09069i	0.956365	−	0.292174i	$-0.0943788\pi$
$242$	192.824	−	30.5403i	0.796793	−	0.126200i
$243$	11.0227	+	11.0227i	0.0453609	+	0.0453609i
$244$	−31.6369	+	43.5444i	−0.129659	+	0.178461i
$245$	−68.3988	+	120.439i	−0.279179	+	0.491587i
$246$	81.1006	−	58.9230i	0.329677	−	0.239524i
$247$	−4.54899	+	28.7212i	−0.0184170	+	0.116280i
$248$	−54.5695	+	107.099i	−0.220038	+	0.431850i
$249$		−	257.992i		−	1.03611i
$250$	−93.4118	+	193.417i	−0.373647	+	0.773667i
$251$	−76.4360			−0.304526			−0.152263	−	0.988340i	$-0.548656\pi$
$251$	−76.4360			−0.304526			−0.152263	+	0.988340i	$0.548656\pi$
$252$	12.9198	+	6.58296i	0.0512690	+	0.0261229i
$253$	−76.8647	−	12.1742i	−0.303813	−	0.0481193i
$254$	130.499	+	179.617i	0.513777	+	0.707153i
$255$	−247.504	−	140.561i	−0.970606	−	0.551220i
$256$	150.554	+	109.384i	0.588103	+	0.427282i
$257$	−3.02535	+	3.02535i	−0.0117718	+	0.0117718i	−0.712968	−	0.701196i	$-0.752650\pi$
$257$	−3.02535	+	3.02535i	−0.0117718	+	0.0117718i	0.701196	+	0.712968i	$0.252650\pi$
$258$	33.8190	+	213.525i	0.131081	+	0.827614i
$259$	−220.178	−	71.5401i	−0.850108	−	0.276217i
$260$	12.1458	+	18.4151i	0.0467146	+	0.0708271i
$261$	−14.5855	−	44.8897i	−0.0558833	−	0.171991i
$262$	22.1393	+	43.4508i	0.0845011	+	0.165843i
$263$	369.818	−	188.432i	1.40615	−	0.716470i	0.424194	−	0.905571i	$-0.360557\pi$
$263$	369.818	−	188.432i	1.40615	−	0.716470i	0.981958	+	0.189101i	$0.0605575\pi$
$264$	−38.8276	+	12.6158i	−0.147074	+	0.0477873i
$265$	138.126	+	110.236i	0.521231	+	0.415987i
$266$	−16.9159	+	52.0618i	−0.0635936	+	0.195721i
$267$	9.09700	−	1.44082i	0.0340712	−	0.00539634i
$268$	−38.5993	−	38.5993i	−0.144027	−	0.144027i
$269$	−22.3143	+	30.7130i	−0.0829527	+	0.114175i	−0.848477	−	0.529233i	$-0.822480\pi$
$269$	−22.3143	+	30.7130i	−0.0829527	+	0.114175i	0.765524	+	0.643407i	$0.222480\pi$
$270$	4.98194	+	44.3649i	0.0184516	+	0.164314i
$271$	−78.7050	+	57.1826i	−0.290425	+	0.211006i	−0.723452	−	0.690375i	$-0.757445\pi$
$271$	−78.7050	+	57.1826i	−0.290425	+	0.211006i	0.433027	+	0.901381i	$0.357445\pi$
$272$	−55.0851	+	347.794i	−0.202519	+	1.27865i
$273$	15.2877	−	30.0037i	0.0559987	−	0.109904i
$274$		−	198.228i		−	0.723459i
$275$	44.7405	−	51.1325i	0.162693	−	0.185936i
$276$	−51.9444			−0.188204
$277$	−241.322	−	122.960i	−0.871199	−	0.443898i	−0.0395614	−	0.999217i	$-0.512596\pi$
$277$	−241.322	−	122.960i	−0.871199	−	0.443898i	−0.831637	+	0.555319i	$0.812596\pi$
$278$	257.994	+	40.8623i	0.928036	+	0.146987i
$279$	−24.4385	−	33.6367i	−0.0875932	−	0.120562i
$280$	82.6982	+	182.247i	0.295351	+	0.650881i
$281$	239.019	+	173.658i	0.850603	+	0.617999i	0.925312	−	0.379206i	$-0.123803\pi$
$281$	239.019	+	173.658i	0.850603	+	0.617999i	−0.0747094	+	0.997205i	$0.523803\pi$
$282$	−57.5525	+	57.5525i	−0.204087	+	0.204087i
$283$	19.4712	+	122.936i	0.0688029	+	0.434404i	0.997911	+	0.0645971i	$0.0205762\pi$
$283$	19.4712	+	122.936i	0.0688029	+	0.434404i	−0.929109	+	0.369807i	$0.879424\pi$
$284$	−52.0577	−	16.9146i	−0.183302	−	0.0595584i
$285$	57.6318	−	15.8822i	0.202217	−	0.0557270i
$286$	6.07927	+	18.7101i	0.0212562	+	0.0654198i
$287$	70.5702	+	138.502i	0.245889	+	0.482585i
$288$	−43.5217	+	22.1754i	−0.151117	+	0.0769980i
$289$	752.488	−	244.498i	2.60376	−	0.846014i
$290$	47.5446	−	126.538i	0.163947	−	0.436339i
$291$	8.90119	−	27.3950i	0.0305883	−	0.0941410i
$292$	131.819	−	20.8781i	0.451436	−	0.0715004i
$293$	−232.534	−	232.534i	−0.793632	−	0.793632i	0.188451	−	0.982083i	$-0.439653\pi$
$293$	−232.534	−	232.534i	−0.793632	−	0.793632i	−0.982083	+	0.188451i	$0.939653\pi$
$294$	−48.4603	+	66.6999i	−0.164831	+	0.226871i
$295$	244.554	+	267.753i	0.828995	+	0.907637i
$296$	351.979	−	255.727i	1.18912	−	0.863944i
$297$	2.20912	−	13.9478i	0.00743810	−	0.0469623i
$298$	98.4226	−	193.165i	0.330277	−	0.648205i
$299$			120.631i			0.403448i
$300$	24.1563	−	38.3808i	0.0805210	−	0.127936i
$301$	−335.225			−1.11370
$302$	−193.652	−	98.6708i	−0.641233	−	0.326724i
$303$	−298.387	−	47.2599i	−0.984776	−	0.155973i
$304$	−43.4703	−	59.8317i	−0.142994	−	0.196815i
$305$	51.6380	−	251.720i	0.169305	−	0.825313i
$306$	−137.070	−	99.5872i	−0.447941	−	0.325448i
$307$	−145.681	+	145.681i	−0.474533	+	0.474533i	−0.903378	−	0.428845i	$-0.858921\pi$
$307$	−145.681	+	145.681i	−0.474533	+	0.474533i	0.428845	+	0.903378i	$0.358921\pi$
$308$	−2.05490	−	12.9741i	−0.00667174	−	0.0421237i
$309$	−258.543	−	84.0059i	−0.836710	−	0.271864i
$310$	5.38664	−	118.951i	0.0173762	−	0.383713i
$311$	3.21000	+	9.87937i	0.0103215	+	0.0317664i	0.956085	−	0.293091i	$-0.0946838\pi$
$311$	3.21000	+	9.87937i	0.0103215	+	0.0317664i	−0.945763	+	0.324857i	$0.894684\pi$
$312$	28.7298	+	56.3854i	0.0920826	+	0.180722i
$313$	451.523	−	230.062i	1.44257	−	0.735024i	0.454745	−	0.890622i	$-0.349730\pi$
$313$	451.523	−	230.062i	1.44257	−	0.735024i	0.987820	+	0.155598i	$0.0497304\pi$
$314$	−209.368	+	68.0279i	−0.666778	+	0.216649i
$315$	−69.1551	−	3.13165i	−0.219540	−	0.00994175i
$316$	−34.5258	+	106.259i	−0.109259	+	0.336264i
$317$	−431.607	+	68.3598i	−1.36154	+	0.215646i	−0.794108	−	0.607777i	$-0.792062\pi$
$317$	−431.607	+	68.3598i	−1.36154	+	0.215646i	−0.567428	+	0.823423i	$0.692062\pi$
$318$	74.3836	+	74.3836i	0.233911	+	0.233911i
$319$	−25.1329	+	34.5924i	−0.0787864	+	0.108440i
$320$	−346.942	−	71.1717i	−1.08419	−	0.222412i
$321$	47.5519	−	34.5485i	0.148137	−	0.107628i
$322$	−35.5240	+	224.290i	−0.110323	+	0.696552i
$323$	−102.998	+	202.144i	−0.318878	+	0.625834i
$324$		−	9.42580i		−	0.0290920i
$325$	−89.1320	−	56.0983i	−0.274252	−	0.172610i
$326$	−58.3383			−0.178952
$327$	162.804	+	82.9527i	0.497871	+	0.253678i
$328$	−288.526	−	45.6981i	−0.879654	−	0.139323i
$329$	−74.1833	−	102.105i	−0.225481	−	0.310348i
$330$	29.8620	−	27.2746i	0.0904908	−	0.0826502i
$331$	−325.749	−	236.670i	−0.984135	−	0.715016i	−0.0255058	−	0.999675i	$-0.508120\pi$
$331$	−325.749	−	236.670i	−0.984135	−	0.715016i	−0.958629	+	0.284659i	$0.908120\pi$
$332$	−110.308	+	110.308i	−0.332253	+	0.332253i
$333$	23.5420	+	148.638i	0.0706967	+	0.446361i
$334$	75.9283	+	24.6706i	0.227330	+	0.0738641i
$335$	243.957	+	91.6624i	0.728228	+	0.273619i
$336$	26.4648	+	81.4502i	0.0787642	+	0.242411i
$337$	−148.661	−	291.764i	−0.441130	−	0.865767i	−0.999349	−	0.0360734i	$-0.988515\pi$
$337$	−148.661	−	291.764i	−0.441130	−	0.865767i	0.558219	−	0.829694i	$-0.311485\pi$
$338$	−231.577	+	117.994i	−0.685139	+	0.349096i
$339$	−115.798	+	37.6251i	−0.341587	+	0.110988i
$340$	45.7250	+	165.922i	0.134485	+	0.488007i
$341$	−11.6391	+	35.8216i	−0.0341324	+	0.105049i
$342$	35.1460	−	5.56659i	0.102766	−	0.0162766i
$343$	−250.302	−	250.302i	−0.729744	−	0.729744i
$344$	370.293	−	509.665i	1.07643	−	1.48158i
$345$	225.827	−	102.474i	0.654572	−	0.297026i
$346$	−420.430	+	305.460i	−1.21512	+	0.882833i
$347$	38.6920	−	244.292i	0.111504	−	0.704011i	−0.867080	−	0.498168i	$-0.834006\pi$
$347$	38.6920	−	244.292i	0.111504	−	0.704011i	0.978585	−	0.205843i	$-0.0659937\pi$
$348$	−12.9569	+	25.4294i	−0.0372326	+	0.0730730i
$349$		−	121.375i		−	0.347778i	−0.984765	−	0.173889i	$-0.944367\pi$
$349$		−	121.375i		−	0.347778i	0.984765	−	0.173889i	$-0.0556334\pi$
$350$	−149.203	−	130.552i	−0.426296	−	0.373005i
$351$	−21.8896			−0.0623635
$352$	39.4266	+	20.0888i	0.112007	+	0.0570706i
$353$	370.192	+	58.6327i	1.04870	+	0.166098i	0.656921	−	0.753959i	$-0.271858\pi$
$353$	370.192	+	58.6327i	1.04870	+	0.166098i	0.391783	+	0.920058i	$0.371858\pi$
$354$	126.876	+	174.629i	0.358405	+	0.493303i
$355$	259.688	−	29.1616i	0.731516	−	0.0821453i
$356$	−4.50558	−	3.27350i	−0.0126561	−	0.00919522i
$357$	185.771	−	185.771i	0.520367	−	0.520367i
$358$	−44.4956	−	280.934i	−0.124290	−	0.784733i
$359$	168.401	+	54.7167i	0.469083	+	0.152414i	0.534014	−	0.845476i	$-0.320683\pi$
$359$	168.401	+	54.7167i	0.469083	+	0.152414i	−0.0649315	+	0.997890i	$0.520683\pi$
$360$	81.1508	−	101.682i	0.225419	−	0.282450i
$361$	96.8308	+	298.015i	0.268229	+	0.825525i
$362$	52.7882	+	103.603i	0.145824	+	0.286195i
$363$	175.337	−	89.3386i	0.483022	−	0.246112i
$364$	−19.3649	+	6.29204i	−0.0532003	+	0.0172858i
$365$	−531.894	+	350.815i	−1.45724	+	0.961136i
$366$	47.2663	−	145.471i	0.129143	−	0.397461i
$367$	−636.932	+	100.880i	−1.73551	+	0.274878i	−0.942470	−	0.334291i	$-0.891503\pi$
$367$	−636.932	+	100.880i	−1.73551	+	0.274878i	−0.793041	+	0.609169i	$0.791503\pi$
$368$	−216.938	−	216.938i	−0.589505	−	0.589505i
$369$	59.3932	−	81.7477i	0.160957	−	0.221539i
$370$	−212.838	+	374.771i	−0.575237	+	1.01290i
$371$	−131.965	+	95.8780i	−0.355700	+	0.258431i
$372$	−3.93281	+	24.8308i	−0.0105721	+	0.0667495i
$373$	−31.2655	+	61.3621i	−0.0838218	+	0.164510i	−0.929113	−	0.369797i	$-0.879427\pi$
$373$	−31.2655	+	61.3621i	−0.0838218	+	0.164510i	0.845291	+	0.534307i	$0.179427\pi$
$374$			153.486i			0.410389i
$375$	−29.3028	+	214.514i	−0.0781409	+	0.572038i
$376$	237.180			0.630799
$377$	59.0549	+	30.0900i	0.156644	+	0.0798142i
$378$	−40.6994	−	6.44616i	−0.107670	−	0.0170533i
$379$	102.050	+	140.459i	0.269260	+	0.370605i	0.922140	−	0.386857i	$-0.126439\pi$
$379$	102.050	+	140.459i	0.269260	+	0.370605i	−0.652880	+	0.757462i	$0.726439\pi$
$380$	−31.4318	−	17.8506i	−0.0827154	−	0.0469752i
$381$	181.050	+	131.541i	0.475197	+	0.345251i
$382$	323.590	−	323.590i	0.847096	−	0.847096i
$383$	−79.3026	−	500.697i	−0.207056	−	1.30730i	−0.843979	−	0.536376i	$-0.819793\pi$
$383$	−79.3026	−	500.697i	−0.207056	−	1.30730i	0.636923	−	0.770928i	$-0.280207\pi$
$384$	−93.2166	−	30.2879i	−0.242752	−	0.0788748i
$385$	34.5284	+	52.3508i	0.0896841	+	0.135976i
$386$	−5.27535	−	16.2358i	−0.0136667	−	0.0420618i
$387$	98.9296	+	194.160i	0.255632	+	0.501706i
$388$	−15.5189	+	7.90728i	−0.0399972	+	0.0203796i
$389$	−6.67688	+	2.16945i	−0.0171642	+	0.00557699i	−0.317587	−	0.948229i	$-0.602872\pi$
$389$	−6.67688	+	2.16945i	−0.0171642	+	0.00557699i	0.300422	+	0.953806i	$0.402872\pi$
$390$	−48.9981	−	39.1046i	−0.125636	−	0.100268i
$391$	−290.830	+	895.084i	−0.743812	+	2.28922i
$392$	237.294	−	37.5837i	0.605342	−	0.0958768i
$393$	34.7579	+	34.7579i	0.0884425	+	0.0884425i
$394$	−38.3983	+	52.8507i	−0.0974576	+	0.134139i
$395$	−59.5242	−	530.072i	−0.150694	−	1.34195i
$396$	−6.90810	+	5.01903i	−0.0174447	+	0.0126743i
$397$	110.586	−	698.213i	0.278554	−	1.75872i	−0.310448	−	0.950590i	$-0.600479\pi$
$397$	110.586	−	698.213i	0.278554	−	1.75872i	0.589002	−	0.808132i	$-0.299521\pi$
$398$	−227.510	+	446.513i	−0.571632	+	1.12189i
$399$			55.1778i			0.138290i
$400$	261.176	−	59.4065i	0.652941	−	0.148516i
$401$	645.013			1.60851			0.804255	−	0.594284i	$-0.202564\pi$
$401$	645.013			1.60851			0.804255	+	0.594284i	$0.202564\pi$
$402$	138.219	+	70.4263i	0.343829	+	0.175190i
$403$	57.6647	+	9.13320i	0.143089	+	0.0226630i
$404$	107.373	+	147.786i	0.265774	+	0.365806i
$405$	18.5948	+	40.9784i	0.0459131	+	0.101181i
$406$	100.940	+	73.3372i	0.248621	+	0.180634i
$407$	96.4004	−	96.4004i	0.236856	−	0.236856i
$408$	77.2354	+	487.645i	0.189303	+	1.19521i
$409$	468.165	+	152.116i	1.14466	+	0.371922i	0.819129	−	0.573610i	$-0.194457\pi$
$409$	468.165	+	152.116i	1.14466	+	0.371922i	0.325530	+	0.945532i	$0.394457\pi$
$410$	278.985	−	76.8828i	0.680451	−	0.187519i
$411$	−61.7446	−	190.030i	−0.150230	−	0.462361i
$412$	74.6258	+	146.461i	0.181131	+	0.355489i
$413$	−298.228	+	151.955i	−0.722102	+	0.367929i
$414$	140.391	−	45.6158i	0.339109	−	0.110183i
$415$	261.950	−	697.172i	0.631206	−	1.67993i
$416$	21.1954	−	65.2328i	0.0509506	−	0.156810i
$417$	260.053	−	41.1883i	0.623628	−	0.0987730i
$418$	−22.7942	−	22.7942i	−0.0545316	−	0.0545316i
$419$	−344.807	+	474.587i	−0.822929	+	1.13267i	0.166269	+	0.986080i	$0.446828\pi$
$419$	−344.807	+	474.587i	−0.822929	+	1.13267i	−0.989198	+	0.146585i	$0.953172\pi$
$420$	28.2292	+	30.9071i	0.0672123	+	0.0735884i
$421$	249.601	−	181.346i	0.592877	−	0.430750i	−0.250466	−	0.968125i	$-0.580584\pi$
$421$	249.601	−	181.346i	0.592877	−	0.430750i	0.843343	+	0.537375i	$0.180584\pi$
$422$	19.3164	−	121.959i	0.0457734	−	0.289002i
$423$	−37.2459	+	73.0991i	−0.0880517	+	0.172811i
$424$		−	306.543i		−	0.722979i
$425$	−526.113	−	631.140i	−1.23791	−	1.48503i
$426$	155.551			0.365143
$427$	211.328	+	107.677i	0.494914	+	0.252171i
$428$	−35.1031	−	5.55978i	−0.0820166	−	0.0129901i
$429$	11.6557	+	16.0427i	0.0271695	+	0.0373956i
$430$	−125.411	+	611.345i	−0.291654	+	1.42173i
$431$	119.517	+	86.8339i	0.277301	+	0.201471i	0.717739	−	0.696312i	$-0.245177\pi$
$431$	119.517	+	86.8339i	0.277301	+	0.201471i	−0.440439	+	0.897783i	$0.645177\pi$
$432$	39.3654	−	39.3654i	0.0911235	−	0.0911235i
$433$	122.080	+	770.785i	0.281941	+	1.78010i	0.569149	+	0.822235i	$0.307273\pi$
$433$	122.080	+	770.785i	0.281941	+	1.78010i	−0.287208	+	0.957868i	$0.592727\pi$
$434$	104.527	+	33.9628i	0.240845	+	0.0782553i
$435$	6.16388	−	136.115i	0.0141698	−	0.312907i
$436$	−34.1414	−	105.076i	−0.0783059	−	0.241001i
$437$	−89.7379	−	176.121i	−0.205350	−	0.403022i
$438$	−337.935	+	172.187i	−0.771542	+	0.393120i
$439$	402.125	−	130.658i	0.916002	−	0.297627i	0.187176	−	0.982326i	$-0.440066\pi$
$439$	402.125	−	130.658i	0.916002	−	0.297627i	0.728826	+	0.684699i	$0.240066\pi$
$440$	−117.733	−	5.33148i	−0.267575	−	0.0121170i
$441$	−25.6804	+	79.0362i	−0.0582322	+	0.179220i
$442$	234.985	−	37.2179i	0.531639	−	0.0842034i
$443$	66.2222	+	66.2222i	0.149486	+	0.149486i	0.777888	−	0.628403i	$-0.216291\pi$
$443$	66.2222	+	66.2222i	0.149486	+	0.149486i	−0.628403	+	0.777888i	$0.716291\pi$
$444$	53.4865	−	73.6179i	0.120465	−	0.165806i
$445$	26.0457	+	5.34303i	0.0585297	+	0.0120068i
$446$	123.439	−	89.6839i	0.276770	−	0.201085i
$447$	34.1847	−	215.834i	0.0764759	−	0.482850i
$448$	148.410	−	291.270i	0.331272	−	0.650157i
$449$			462.292i			1.02960i	0.857309	+	0.514802i	$0.172135\pi$
$449$			462.292i			1.02960i	−0.857309	+	0.514802i	$0.827865\pi$
$450$	−31.5829	+	124.946i	−0.0701841	+	0.277657i
$451$	−91.5379			−0.202967
$452$	65.5980	+	33.4239i	0.145128	+	0.0739466i
$453$	−216.378	−	34.2709i	−0.477656	−	0.0756533i
$454$	283.566	+	390.296i	0.624595	+	0.859682i
$455$	71.7758	−	65.5568i	0.157749	−	0.144081i
$456$	−83.8907	−	60.9501i	−0.183971	−	0.133663i
$457$	−153.975	+	153.975i	−0.336926	+	0.336926i	−0.855209	−	0.518283i	$-0.826571\pi$
$457$	−153.975	+	153.975i	−0.336926	+	0.336926i	0.518283	+	0.855209i	$0.326571\pi$
$458$	−28.8567	−	182.194i	−0.0630058	−	0.397803i
$459$	−162.421	−	52.7739i	−0.353859	−	0.114976i
$460$	−140.369	−	52.7413i	−0.305151	−	0.114655i
$461$	−54.6221	−	168.109i	−0.118486	−	0.364662i	0.874172	−	0.485616i	$-0.161405\pi$
$461$	−54.6221	−	168.109i	−0.118486	−	0.364662i	−0.992658	+	0.120954i	$0.961405\pi$
$462$	16.9472	+	33.2608i	0.0366823	+	0.0719930i
$463$	−329.316	+	167.795i	−0.711266	+	0.362408i	−0.771893	−	0.635752i	$-0.780690\pi$
$463$	−329.316	+	167.795i	−0.711266	+	0.362408i	0.0606272	+	0.998160i	$0.480690\pi$
$464$	−160.315	+	52.0894i	−0.345505	+	0.112262i
$465$	−31.8874	−	115.710i	−0.0685750	−	0.248838i
$466$	−29.6225	+	91.1688i	−0.0635677	+	0.195641i
$467$	−161.331	+	25.5523i	−0.345462	+	0.0547158i	−0.326755	−	0.945109i	$-0.605955\pi$
$467$	−161.331	+	25.5523i	−0.345462	+	0.0547158i	−0.0187072	+	0.999825i	$0.505955\pi$
$468$	9.35918	+	9.35918i	0.0199982	+	0.0199982i
$469$	−141.389	+	194.605i	−0.301469	+	0.414936i
$470$	−213.960	+	97.0886i	−0.455233	+	0.206572i
$471$	−179.520	+	130.429i	−0.381147	+	0.276920i
$472$	98.3991	−	621.267i	0.208473	−	1.31624i
$473$	89.6209	−	175.891i	0.189473	−	0.371862i
$474$		−	317.508i		−	0.669849i
$475$	171.864	+	15.5975i	0.361819	+	0.0328369i
$476$	−158.858			−0.333734
$477$	94.4767	+	48.1383i	0.198064	+	0.100919i
$478$	−740.341	−	117.258i	−1.54883	−	0.245310i
$479$	−143.329	−	197.275i	−0.299225	−	0.411847i	0.632758	−	0.774349i	$-0.281923\pi$
$479$	−143.329	−	197.275i	−0.299225	−	0.411847i	−0.931983	+	0.362502i	$0.881923\pi$
$480$	−140.124	+	15.7352i	−0.291926	+	0.0327817i
$481$	−170.963	−	124.212i	−0.355433	−	0.258237i
$482$	335.818	−	335.818i	0.696718	−	0.696718i
$483$	35.8075	+	226.079i	0.0741355	+	0.468073i
$484$	−113.165	−	36.7697i	−0.233813	−	0.0759704i
$485$	51.8690	−	64.9918i	0.106946	−	0.134004i
$486$	8.27741	+	25.4752i	0.0170317	+	0.0524182i
$487$	−131.079	−	257.258i	−0.269157	−	0.528250i	0.716380	−	0.697710i	$-0.245798\pi$
$487$	−131.079	−	257.258i	−0.269157	−	0.528250i	−0.985537	+	0.169460i	$0.945798\pi$
$488$	−397.145	+	202.356i	−0.813822	+	0.414663i
$489$	−55.9258	+	18.1714i	−0.114368	+	0.0371603i
$490$	−198.678	+	131.039i	−0.405464	+	0.267427i
$491$	−87.6987	+	269.909i	−0.178612	+	0.549712i	−0.999780	−	0.0209748i	$-0.993323\pi$
$491$	−87.6987	+	269.909i	−0.178612	+	0.549712i	0.821168	+	0.570687i	$0.193323\pi$
$492$	−60.3466	+	9.55797i	−0.122656	+	0.0194268i
$493$	365.644	+	365.644i	0.741672	+	0.741672i
$494$	−29.3704	+	40.4249i	−0.0594542	+	0.0818317i
$495$	20.1315	−	35.4481i	0.0406697	−	0.0716124i
$496$	−120.127	+	87.2772i	−0.242191	+	0.175962i
$497$	−37.7323	+	238.232i	−0.0759201	+	0.479341i
$498$	201.262	−	394.999i	0.404141	−	0.793172i
$499$			214.548i			0.429955i	0.976619	+	0.214978i	$0.0689678\pi$
$499$			214.548i			0.429955i	−0.976619	+	0.214978i	$0.931032\pi$
$500$	104.247	−	79.1895i	0.208494	−	0.158379i
$501$	80.4728			0.160624
$502$	−117.027	−	59.6285i	−0.233122	−	0.118782i
$503$	658.662	+	104.322i	1.30947	+	0.207399i	0.771858	−	0.635795i	$-0.219327\pi$
$503$	658.662	+	104.322i	1.30947	+	0.207399i	0.537609	+	0.843194i	$0.319327\pi$
$504$	70.5808	+	97.1461i	0.140041	+	0.192750i
$505$	−758.346	−	430.675i	−1.50167	−	0.852822i
$506$	−108.187	−	78.6022i	−0.213808	−	0.155340i
$507$	−185.247	+	185.247i	−0.365379	+	0.365379i
$508$	−21.1684	−	133.652i	−0.0416701	−	0.263095i
$509$	44.8483	+	14.5721i	0.0881105	+	0.0286288i	0.352741	−	0.935721i	$-0.385250\pi$
$509$	44.8483	+	14.5721i	0.0881105	+	0.0286288i	−0.264630	+	0.964350i	$0.585250\pi$
$510$	−269.289	−	408.287i	−0.528018	−	0.800563i
$511$	−181.737	−	559.329i	−0.355650	−	1.09458i
$512$	247.937	+	486.604i	0.484252	+	0.950398i
$513$	31.9587	−	16.2838i	0.0622977	−	0.0317422i
$514$	−6.99207	+	2.27186i	−0.0136033	+	0.00441996i
$515$	−613.367	−	489.519i	−1.19100	−	0.950522i
$516$	40.7171	−	125.314i	0.0789091	−	0.242857i
$517$	73.4064	−	11.6264i	0.141985	−	0.0224883i
$518$	−281.294	−	281.294i	−0.543040	−	0.543040i
$519$	−307.898	+	423.785i	−0.593252	+	0.816541i
$520$	20.3860	+	181.541i	0.0392039	+	0.349116i
$521$	−385.699	+	280.227i	−0.740306	+	0.537864i	−0.892807	−	0.450440i	$-0.851267\pi$
$521$	−385.699	+	280.227i	−0.740306	+	0.537864i	0.152501	+	0.988303i	$0.451267\pi$
$522$	12.6877	−	80.1068i	0.0243059	−	0.153461i
$523$	268.635	−	527.226i	0.513642	−	1.00808i	−0.477915	−	0.878406i	$-0.658607\pi$
$523$	268.635	−	527.226i	0.513642	−	1.00808i	0.991557	−	0.129673i	$-0.0413928\pi$
$524$		−	29.7224i		−	0.0567221i
$525$	−183.698	−	78.6787i	−0.349901	−	0.149864i
$526$	713.207			1.35591
$527$	405.854	+	206.793i	0.770122	+	0.392397i
$528$	−49.8118	−	7.88941i	−0.0943405	−	0.0149421i
$529$	−171.036	−	235.411i	−0.323320	−	0.445012i
$530$	125.482	+	276.531i	0.236758	+	0.521757i
$531$	176.023	+	127.888i	0.331493	+	0.240844i
$532$	23.5920	−	23.5920i	0.0443459	−	0.0443459i
$533$	22.1965	+	140.143i	0.0416445	+	0.262933i
$534$	15.0520	+	4.89068i	0.0281872	+	0.00915858i
$535$	163.578	−	45.0789i	0.305753	−	0.0842596i
$536$	−139.691	−	429.926i	−0.260618	−	0.802101i
$537$	−130.162	−	255.457i	−0.242387	−	0.475711i
$538$	−58.1238	+	29.6156i	−0.108037	+	0.0550475i
$539$	71.5993	−	23.2640i	0.132837	−	0.0431615i
$540$	9.57040	−	25.4713i	0.0177230	−	0.0471691i
$541$	−171.150	+	526.746i	−0.316359	+	0.973652i	0.658833	+	0.752289i	$0.271050\pi$
$541$	−171.150	+	526.746i	−0.316359	+	0.973652i	−0.975192	+	0.221363i	$0.928950\pi$
$542$	−165.110	+	26.1509i	−0.304631	+	0.0482488i
$543$	82.8756	+	82.8756i	0.152625	+	0.152625i
$544$	314.541	−	432.929i	0.578200	−	0.795825i
$545$	355.719	+	389.464i	0.652696	+	0.714614i
$546$	46.8124	−	34.0112i	0.0857370	−	0.0622915i
$547$	−120.171	+	758.731i	−0.219691	+	1.38708i	0.593385	+	0.804919i	$0.297791\pi$
$547$	−120.171	+	758.731i	−0.219691	+	1.38708i	−0.813076	+	0.582157i	$0.802209\pi$
$548$	−54.8502	+	107.650i	−0.100092	+	0.196441i
$549$		−	154.177i		−	0.280833i
$550$	108.389	−	43.3839i	0.197071	−	0.0788799i
$551$	−108.604			−0.197103
$552$	−383.277	−	195.290i	−0.694343	−	0.353785i
$553$	486.276	+	77.0186i	0.879343	+	0.139274i
$554$	−273.554	−	376.515i	−0.493780	−	0.679630i
$555$	−87.3012	+	425.568i	−0.157299	+	0.766790i
$556$	−128.800	−	93.5783i	−0.231654	−	0.168306i
$557$	257.672	−	257.672i	0.462607	−	0.462607i	−0.436902	−	0.899509i	$-0.643924\pi$
$557$	257.672	−	257.672i	0.462607	−	0.462607i	0.899509	+	0.436902i	$0.143924\pi$
$558$	−11.1763	−	70.5642i	−0.0200292	−	0.126459i
$559$	−291.018	−	94.5576i	−0.520605	−	0.169155i
$560$	−11.1841	+	246.973i	−0.0199715	+	0.441024i
$561$	47.8081	+	147.138i	0.0852195	+	0.262279i
$562$	230.479	+	452.340i	0.410105	+	0.804876i
$563$	−522.303	+	266.127i	−0.927714	+	0.472694i	−0.851475	−	0.524395i	$-0.824291\pi$
$563$	−522.303	+	266.127i	−0.927714	+	0.472694i	−0.0762395	+	0.997090i	$0.524291\pi$
$564$	47.1794	−	15.3295i	0.0836514	−	0.0271800i
$565$	−351.123	−	15.9004i	−0.621457	−	0.0281423i
$566$	−66.0924	+	203.412i	−0.116771	+	0.359384i
$567$	−41.0242	+	6.49760i	−0.0723531	+	0.0114596i
$568$	−320.522	−	320.522i	−0.564298	−	0.564298i
$569$	521.454	−	717.720i	0.916440	−	1.26137i	−0.0484794	−	0.998824i	$-0.515438\pi$
$569$	521.454	−	717.720i	0.916440	−	1.26137i	0.964919	−	0.262547i	$-0.0845625\pi$
$570$	100.627	+	20.6427i	0.176539	+	0.0362152i
$571$	19.1331	−	13.9010i	0.0335080	−	0.0243450i	−0.570905	−	0.821016i	$-0.693408\pi$
$571$	19.1331	−	13.9010i	0.0335080	−	0.0243450i	0.604413	+	0.796671i	$0.293408\pi$
$572$	1.87572	−	11.8428i	0.00327923	−	0.0207043i
$573$	209.416	−	411.001i	0.365472	−	0.717280i
$574$			267.106i			0.465341i
$575$	714.298	−	47.6230i	1.24226	−	0.0828227i
$576$	−212.500			−0.368924
$577$	−356.150	−	181.467i	−0.617244	−	0.314501i	0.117265	−	0.993101i	$-0.462587\pi$
$577$	−356.150	−	181.467i	−0.617244	−	0.314501i	−0.734509	+	0.678599i	$0.762587\pi$
$578$	1342.83	+	212.684i	2.32324	+	0.367965i
$579$	−10.1144	−	13.9212i	−0.0174687	−	0.0240436i
$580$	−60.8330	+	55.5621i	−0.104885	+	0.0957968i
$581$	556.137	+	404.057i	0.957206	+	0.695451i
$582$	34.9993	−	34.9993i	0.0601363	−	0.0601363i
$583$	−15.0265	−	94.8739i	−0.0257745	−	0.162734i
$584$	1051.14	+	341.535i	1.79989	+	0.584820i
$585$	−59.1522	−	22.2254i	−0.101115	−	0.0379922i
$586$	−174.620	−	537.424i	−0.297986	−	0.917106i
$587$	−48.0169	−	94.2386i	−0.0818006	−	0.160543i	0.846483	−	0.532416i	$-0.178716\pi$
$587$	−48.0169	−	94.2386i	−0.0818006	−	0.160543i	−0.928284	+	0.371873i	$0.878716\pi$
$588$	44.7729	−	22.8129i	0.0761444	−	0.0387975i
$589$	−90.9845	+	29.5626i	−0.154473	+	0.0501912i
$590$	165.547	+	600.722i	0.280589	+	1.01817i
$591$	−20.3483	+	62.6255i	−0.0344302	+	0.105965i
$592$	530.832	−	84.0755i	0.896675	−	0.142019i
$593$	151.572	+	151.572i	0.255601	+	0.255601i	0.823262	−	0.567661i	$-0.192152\pi$
$593$	151.572	+	151.572i	0.255601	+	0.255601i	−0.567661	+	0.823262i	$0.692152\pi$
$594$	14.2631	−	19.6315i	0.0240119	−	0.0330496i
$595$	690.630	−	313.388i	1.16072	−	0.526702i
$596$	−106.899	+	77.6664i	−0.179360	+	0.130313i
$597$	−79.0200	+	498.913i	−0.132362	+	0.835700i
$598$	−94.1053	+	184.692i	−0.157367	+	0.308850i
$599$			596.616i			0.996019i	0.867171	+	0.498010i	$0.165936\pi$
$599$			596.616i			0.996019i	−0.867171	+	0.498010i	$0.834064\pi$
$600$	322.536	−	192.379i	0.537559	−	0.320632i
$601$	680.387			1.13209			0.566046	−	0.824374i	$-0.308473\pi$
$601$	680.387			1.13209			0.566046	+	0.824374i	$0.308473\pi$
$602$	−513.246	−	261.512i	−0.852568	−	0.434405i
$603$	154.440	+	24.4609i	0.256119	+	0.0405653i
$604$	77.8623	+	107.168i	0.128911	+	0.177431i
$605$	564.522	−	63.3927i	0.933094	−	0.104781i
$606$	−419.978	−	305.132i	−0.693033	−	0.503518i
$607$	−500.151	+	500.151i	−0.823973	+	0.823973i	−0.986675	−	0.162702i	$-0.947979\pi$
$607$	−500.151	+	500.151i	−0.823973	+	0.823973i	0.162702	+	0.986675i	$0.447979\pi$
$608$	17.5818	+	111.007i	0.0289174	+	0.182577i
$609$	119.609	+	38.8633i	0.196402	+	0.0638150i
$610$	275.430	−	345.113i	0.451524	−	0.565760i
$611$	−35.5999	−	109.565i	−0.0582649	−	0.179321i
$612$	46.8811	+	92.0094i	0.0766032	+	0.150342i
$613$	−729.218	+	371.555i	−1.18959	+	0.606126i	−0.932819	−	0.360346i	$-0.882659\pi$
$613$	−729.218	+	371.555i	−1.18959	+	0.606126i	−0.256771	+	0.966472i	$0.582659\pi$
$614$	−336.693	+	109.398i	−0.548361	+	0.178173i
$615$	243.500	−	160.602i	0.395935	−	0.261142i
$616$	33.6150	−	103.456i	0.0545698	−	0.167949i
$617$	200.691	−	31.7863i	0.325269	−	0.0515175i	0.00833533	−	0.999965i	$-0.497347\pi$
$617$	200.691	−	31.7863i	0.325269	−	0.0515175i	0.316934	+	0.948448i	$0.397347\pi$
$618$	−330.310	−	330.310i	−0.534481	−	0.534481i
$619$	−93.7908	+	129.092i	−0.151520	+	0.208549i	−0.878029	−	0.478608i	$-0.841142\pi$
$619$	−93.7908	+	129.092i	−0.151520	+	0.208549i	0.726509	+	0.687157i	$0.241142\pi$
$620$	−35.8394	+	63.1071i	−0.0578054	+	0.101786i
$621$	120.377	−	87.4588i	0.193843	−	0.140835i
$622$	−2.79231	+	17.6300i	−0.00448925	+	0.0283440i
$623$	−11.1415	+	21.8663i	−0.0178836	+	0.0350985i
$624$			78.1743i			0.125279i
$625$	−296.990	+	549.929i	−0.475184	+	0.879886i
$626$	870.779			1.39102
$627$	−28.9516	−	14.7516i	−0.0461748	−	0.0235272i
$628$	132.523	+	20.9896i	0.211024	+	0.0334229i
$629$	−969.087	−	1333.83i	−1.54068	−	2.12056i
$630$	−103.437	−	58.7433i	−0.164186	−	0.0932433i
$631$	−241.928	−	175.771i	−0.383404	−	0.278559i	0.379343	−	0.925256i	$-0.376150\pi$
$631$	−241.928	−	175.771i	−0.383404	−	0.278559i	−0.762747	+	0.646697i	$0.776150\pi$
$632$	−654.244	+	654.244i	−1.03520	+	1.03520i
$633$	−19.4705	−	122.932i	−0.0307591	−	0.194205i
$634$	−714.141	−	232.038i	−1.12640	−	0.365991i
$635$	355.693	+	539.290i	0.560146	+	0.849275i
$636$	−19.8126	−	60.9769i	−0.0311519	−	0.0958756i
$637$	−52.9787	−	103.976i	−0.0831690	−	0.163228i
$638$	−65.4656	+	33.3564i	−0.102611	+	0.0522827i
$639$	149.118	−	48.4515i	0.233362	−	0.0758239i
$640$	−221.146	−	176.494i	−0.345541	−	0.275771i
$641$	−143.831	+	442.666i	−0.224385	+	0.690587i	0.773968	+	0.633225i	$0.218269\pi$
$641$	−143.831	+	442.666i	−0.224385	+	0.690587i	−0.998353	+	0.0573624i	$0.981731\pi$
$642$	99.7560	−	15.7998i	0.155383	−	0.0246103i
$643$	283.673	+	283.673i	0.441171	+	0.441171i	0.892405	−	0.451235i	$-0.149016\pi$
$643$	283.673	+	283.673i	0.441171	+	0.441171i	−0.451235	+	0.892405i	$0.649016\pi$
$644$	81.3532	−	111.973i	0.126325	−	0.173871i
$645$	70.1983	+	625.126i	0.108835	+	0.969188i
$646$	−315.390	+	229.144i	−0.488219	+	0.354712i
$647$	−4.34846	+	27.4551i	−0.00672096	+	0.0424345i	−0.990821	−	0.135181i	$-0.956838\pi$
$647$	−4.34846	+	27.4551i	−0.00672096	+	0.0424345i	0.984100	+	0.177616i	$0.0568384\pi$
$648$	35.4371	−	69.5492i	0.0546869	−	0.107329i
$649$		−	197.103i		−	0.303703i
$650$	−92.7029	−	155.422i	−0.142620	−	0.239111i
$651$	110.783			0.170173
$652$	31.6812	+	16.1424i	0.0485908	+	0.0247583i
$653$	187.068	+	29.6287i	0.286475	+	0.0453732i	0.298018	−	0.954560i	$-0.403674\pi$
$653$	187.068	+	29.6287i	0.286475	+	0.0453732i	−0.0115430	+	0.999933i	$0.503674\pi$
$654$	184.549	+	254.010i	0.282185	+	0.388394i
$655$	58.6351	+	129.217i	0.0895192	+	0.197278i
$656$	−291.946	−	212.111i	−0.445039	−	0.323340i
$657$	−270.327	+	270.327i	−0.411457	+	0.411457i
$658$	−33.9257	−	214.199i	−0.0515588	−	0.325530i
$659$	438.120	+	142.354i	0.664826	+	0.216015i	0.621940	−	0.783065i	$-0.286345\pi$
$659$	438.120	+	142.354i	0.664826	+	0.216015i	0.0428860	+	0.999080i	$0.486345\pi$
$660$	−23.7638	+	6.54883i	−0.0360057	+	0.00992247i
$661$	−185.829	−	571.922i	−0.281133	−	0.865238i	−0.987531	−	0.157423i	$-0.949681\pi$
$661$	−185.829	−	571.922i	−0.281133	−	0.865238i	0.706398	−	0.707814i	$-0.250319\pi$
$662$	−314.109	−	616.474i	−0.474485	−	0.931229i
$663$	213.674	−	108.872i	0.322284	−	0.164212i
$664$	−1228.63	+	399.206i	−1.85035	+	0.601214i
$665$	−56.0244	+	149.107i	−0.0842472	+	0.224221i
$666$	−79.9102	+	245.938i	−0.119985	+	0.369277i
$667$	−444.981	+	70.4781i	−0.667138	+	0.105664i
$668$	−34.4072	−	34.4072i	−0.0515078	−	0.0515078i
$669$	90.3995	−	124.424i	0.135126	−	0.185986i
$670$	302.003	+	330.653i	0.450751	+	0.493511i
$671$	−112.996	+	82.0961i	−0.168399	+	0.122349i
$672$	20.3599	−	128.547i	0.0302974	−	0.191290i
$673$	369.707	−	725.591i	0.549342	−	1.07814i	−0.434761	−	0.900546i	$-0.643167\pi$
$673$	369.707	−	725.591i	0.549342	−	1.07814i	0.984103	−	0.177599i	$-0.0568329\pi$
$674$		−	562.677i		−	0.834832i
$675$	8.64164	+	129.616i	0.0128024	+	0.192024i
$676$	158.409			0.234334
$677$	−376.764	−	191.971i	−0.556520	−	0.283561i	0.153024	−	0.988222i	$-0.451099\pi$
$677$	−376.764	−	191.971i	−0.556520	−	0.283561i	−0.709544	+	0.704662i	$0.751099\pi$
$678$	−206.644	−	32.7293i	−0.304785	−	0.0482732i
$679$	45.1130	+	62.0927i	0.0664403	+	0.0914472i
$680$	−286.413	+	1396.18i	−0.421196	+	2.05321i
$681$	393.410	+	285.829i	0.577695	+	0.419720i
$682$	−45.7649	+	45.7649i	−0.0671040	+	0.0671040i
$683$	−176.910	−	1116.97i	−0.259019	−	1.63538i	−0.683503	−	0.729948i	$-0.739544\pi$
$683$	−176.910	−	1116.97i	−0.259019	−	1.63538i	0.424483	−	0.905436i	$-0.360456\pi$
$684$	−20.6267	−	6.70202i	−0.0301560	−	0.00979827i
$685$	26.0934	−	576.210i	0.0380925	−	0.841183i
$686$	−187.962	−	578.489i	−0.273998	−	0.843278i
$687$	−84.4135	−	165.671i	−0.122873	−	0.241151i
$688$	693.404	−	353.307i	1.00786	−	0.513528i
$689$	−141.607	+	46.0109i	−0.205525	+	0.0667792i
$690$	425.694	+	19.2773i	0.616948	+	0.0279381i
$691$	150.040	−	461.775i	0.217134	−	0.668270i	−0.781861	−	0.623453i	$-0.785729\pi$
$691$	150.040	−	461.775i	0.217134	−	0.668270i	0.998995	−	0.0448176i	$-0.0142707\pi$
$692$	312.840	−	49.5490i	0.452081	−	0.0716026i
$693$	26.6065	+	26.6065i	0.0383933	+	0.0383933i
$694$	249.814	−	343.839i	0.359963	−	0.495446i
$695$	744.560	+	152.739i	1.07131	+	0.219769i
$696$	−191.208	+	138.921i	−0.274724	+	0.199599i
$697$	−173.174	+	1093.38i	−0.248457	+	1.56869i
$698$	94.6855	−	185.831i	0.135653	−	0.266233i
$699$			96.6255i			0.138234i
$700$	44.9023	+	112.183i	0.0641462	+	0.160261i
$701$	−455.887			−0.650338			−0.325169	−	0.945656i	$-0.605421\pi$
$701$	−455.887			−0.650338			−0.325169	+	0.945656i	$0.605421\pi$
$702$	−33.5141	−	17.0763i	−0.0477409	−	0.0243252i
$703$	342.008	+	54.1687i	0.486498	+	0.0770536i
$704$	113.152	+	155.740i	0.160727	+	0.221221i
$705$	−174.870	+	159.718i	−0.248043	+	0.226551i
$706$	521.044	+	378.560i	0.738022	+	0.536205i
$707$	569.196	−	569.196i	0.805087	−	0.805087i
$708$	−20.5806	−	129.941i	−0.0290687	−	0.183532i
$709$	106.839	+	34.7142i	0.150690	+	0.0489622i	0.383391	−	0.923586i	$-0.374756\pi$
$709$	106.839	+	34.7142i	0.150690	+	0.0489622i	−0.232701	+	0.972548i	$0.574756\pi$
$710$	420.345	+	157.937i	0.592035	+	0.222447i
$711$	−98.8984	−	304.378i	−0.139098	−	0.428098i
$712$	−20.9379	−	41.0930i	−0.0294072	−	0.0577148i
$713$	−353.605	+	180.171i	−0.495939	+	0.252694i
$714$	429.347	−	139.503i	0.601326	−	0.195383i
$715$	15.2084	+	55.1868i	0.0212705	+	0.0771843i
$716$	−53.5716	+	164.876i	−0.0748206	+	0.230274i
$717$	−746.248	+	118.194i	−1.04079	+	0.164845i
$718$	215.145	+	215.145i	0.299645	+	0.299645i
$719$	−180.902	+	248.991i	−0.251603	+	0.346301i	−0.916072	−	0.401014i	$-0.868658\pi$
$719$	−180.902	+	248.991i	−0.251603	+	0.346301i	0.664469	+	0.747316i	$0.268658\pi$
$720$	146.346	−	66.4077i	0.203259	−	0.0922329i
$721$	586.006	−	425.758i	0.812768	−	0.590511i
$722$	−84.2311	+	531.814i	−0.116664	+	0.736585i
$723$	217.329	−	426.532i	0.300593	−	0.589948i
$724$		−	70.8691i		−	0.0978854i
$725$	154.860	−	361.564i	0.213599	−	0.498709i
$726$	338.144			0.465763
$727$	568.047	+	289.434i	0.781357	+	0.398121i	0.798701	−	0.601728i	$-0.205521\pi$
$727$	568.047	+	289.434i	0.781357	+	0.398121i	−0.0173437	+	0.999850i	$0.505521\pi$
$728$	−166.541	−	26.3776i	−0.228766	−	0.0362329i
$729$	15.8702	+	21.8435i	0.0217698	+	0.0299636i
$730$	−1088.03	+	122.180i	−1.49045	+	0.167370i
$731$	−1931.39	−	1403.24i	−2.64212	−	1.91962i
$732$	−65.9205	+	65.9205i	−0.0900554	+	0.0900554i
$733$	166.099	+	1048.71i	0.226602	+	1.43071i	0.794327	+	0.607491i	$0.207824\pi$
$733$	166.099	+	1048.71i	0.226602	+	1.43071i	−0.567725	+	0.823219i	$0.692176\pi$
$734$	−1053.87	−	342.424i	−1.43580	−	0.466518i
$735$	−149.645	+	187.505i	−0.203598	+	0.255109i
$736$	144.075	+	443.418i	0.195754	+	0.602470i
$737$	−64.3087	−	126.213i	−0.0872574	−	0.171252i
$738$	154.706	−	78.8268i	0.209629	−	0.106811i
$739$	−865.638	+	281.263i	−1.17136	+	0.380599i	−0.829152	−	0.559023i	$-0.811176\pi$
$739$	−865.638	+	281.263i	−1.17136	+	0.380599i	−0.342212	+	0.939623i	$0.611176\pi$
$740$	219.284	−	144.630i	0.296330	−	0.195447i
$741$	−15.5641	+	47.9015i	−0.0210042	+	0.0646444i
$742$	−276.840	+	43.8472i	−0.373100	+	0.0590932i
$743$	−665.841	−	665.841i	−0.896152	−	0.896152i	0.0989413	−	0.995093i	$-0.468454\pi$
$743$	−665.841	−	665.841i	−0.896152	−	0.896152i	−0.995093	+	0.0989413i	$0.968454\pi$
$744$	−122.372	+	168.431i	−0.164479	+	0.226386i
$745$	311.522	−	548.538i	0.418151	−	0.736293i
$746$	−95.7383	+	69.5579i	−0.128336	+	0.0932412i
$747$	69.9036	−	441.354i	0.0935792	−	0.590836i
$748$	42.4699	−	83.3519i	0.0567779	−	0.111433i
$749$			156.613i			0.209096i
$750$	−212.209	+	305.573i	−0.282945	+	0.407430i
$751$	1218.38			1.62234			0.811172	−	0.584807i	$-0.198830\pi$
$751$	1218.38			1.62234			0.811172	+	0.584807i	$0.198830\pi$
$752$	261.059	+	133.016i	0.347153	+	0.176883i
$753$	−130.761	−	20.7105i	−0.173654	−	0.0275040i
$754$	66.9426	+	92.1386i	0.0887833	+	0.122200i
$755$	−549.922	−	312.308i	−0.728373	−	0.413653i
$756$	20.3186	+	14.7623i	0.0268764	+	0.0195268i
$757$	807.647	−	807.647i	1.06691	−	1.06691i	0.0693100	−	0.997595i	$-0.477920\pi$
$757$	807.647	−	807.647i	1.06691	−	1.06691i	0.997595	−	0.0693100i	$-0.0220798\pi$
$758$	46.6695	+	294.660i	0.0615693	+	0.388733i
$759$	−128.196	−	41.6534i	−0.168901	−	0.0548793i
$760$	−164.812	−	249.883i	−0.216858	−	0.328794i
$761$	31.4777	+	96.8783i	0.0413635	+	0.127304i	0.969606	−	0.244672i	$-0.0786803\pi$
$761$	31.4777	+	96.8783i	0.0413635	+	0.127304i	−0.928242	+	0.371976i	$0.878680\pi$
$762$	174.581	+	342.634i	0.229109	+	0.449651i
$763$	−433.792	+	221.028i	−0.568535	+	0.289683i
$764$	−265.267	+	86.1906i	−0.347209	+	0.112815i
$765$	−385.327	−	307.524i	−0.503696	−	0.401992i
$766$	269.182	−	828.458i	0.351413	−	1.08154i
$767$	−301.763	+	47.7945i	−0.393432	+	0.0623136i
$768$	227.920	+	227.920i	0.296770	+	0.296770i
$769$	−723.363	+	995.624i	−0.940655	+	1.29470i	0.0149009	+	0.999889i	$0.495257\pi$
$769$	−723.363	+	995.624i	−0.940655	+	1.29470i	−0.955556	+	0.294811i	$0.904743\pi$
$770$	12.0254	+	107.088i	0.0156174	+	0.139075i
$771$	−5.99527	+	4.35582i	−0.00777597	+	0.00564957i
$772$	−1.62768	+	10.2767i	−0.00210839	+	0.0133118i
$773$	−262.581	+	515.345i	−0.339691	+	0.666681i	−0.996149	−	0.0876817i	$-0.972054\pi$
$773$	−262.581	+	515.345i	−0.339691	+	0.666681i	0.656457	+	0.754363i	$0.272054\pi$
$774$			374.445i			0.483779i
$775$	31.3158	−	345.059i	0.0404075	−	0.445237i
$776$	−144.236			−0.185871
$777$	−357.280	−	182.043i	−0.459820	−	0.234290i
$778$	−11.9150	−	1.88716i	−0.0153150	−	0.00242565i
$779$	−136.660	−	188.097i	−0.175430	−	0.241459i
$780$	15.7885	+	34.7941i	0.0202417	+	0.0446078i
$781$	−114.912	−	83.4884i	−0.147134	−	0.106899i
$782$	−1143.54	+	1143.54i	−1.46233	+	1.46233i
$783$	−12.7889	−	80.7460i	−0.0163332	−	0.103124i
$784$	282.262	+	91.7124i	0.360028	+	0.116980i
$785$	−617.548	+	170.184i	−0.786685	+	0.216795i
$786$	26.1012	+	80.3311i	0.0332076	+	0.102202i
$787$	80.0658	+	157.138i	0.101735	+	0.199667i	0.936264	−	0.351298i	$-0.114260\pi$
$787$	80.0658	+	157.138i	0.101735	+	0.199667i	−0.834528	+	0.550965i	$0.814260\pi$
$788$	35.4765	−	18.0762i	0.0450209	−	0.0229393i
$789$	683.713	−	222.152i	0.866557	−	0.281561i
$790$	322.379	−	858.002i	0.408075	−	1.08608i
$791$	100.252	−	308.545i	0.126741	−	0.390069i
$792$	−69.8416	+	11.0618i	−0.0881839	+	0.0139670i
$793$	153.088	+	153.088i	0.193049	+	0.193049i
$794$	713.995	−	982.730i	0.899238	−	1.23770i
$795$	206.427	+	226.010i	0.259657	+	0.284289i
$796$	247.103	−	179.531i	0.310430	−	0.225541i
$797$	150.905	−	952.777i	0.189341	−	1.19545i	−0.691618	−	0.722263i	$-0.743102\pi$
$797$	150.905	−	952.777i	0.189341	−	1.19545i	0.880960	−	0.473191i	$-0.156898\pi$
$798$	−43.0448	+	84.4801i	−0.0539408	+	0.105865i
$799$		−	898.803i		−	1.12491i
$800$	−394.634	−	99.7528i	−0.493293	−	0.124691i
$801$	15.9529			0.0199162
$802$	987.548	+	503.181i	1.23136	+	0.627407i
$803$	342.064	+	54.1776i	0.425983	+	0.0674690i
$804$	−55.5742	−	76.4914i	−0.0691222	−	0.0951385i
$805$	−132.785	+	647.291i	−0.164951	+	0.804088i
$806$	81.1628	+	58.9682i	0.100698	+	0.0731615i
$807$	−46.4954	+	46.4954i	−0.0576151	+	0.0576151i
$808$	236.647	+	1494.13i	0.292880	+	1.84917i
$809$	185.155	+	60.1607i	0.228870	+	0.0743642i	0.421207	−	0.906965i	$-0.361607\pi$
$809$	185.155	+	60.1607i	0.228870	+	0.0743642i	−0.192337	+	0.981329i	$0.561607\pi$
$810$	−3.49805	+	77.2461i	−0.00431858	+	0.0953655i
$811$	145.480	+	447.743i	0.179384	+	0.552087i	0.999807	−	0.0196705i	$-0.00626170\pi$
$811$	145.480	+	447.743i	0.179384	+	0.552087i	−0.820422	+	0.571758i	$0.806262\pi$
$812$	−34.5239	−	67.7569i	−0.0425171	−	0.0834444i
$813$	−150.137	+	76.4984i	−0.184670	+	0.0940940i
$814$	222.797	−	72.3911i	0.273706	−	0.0889325i
$815$	−169.578	−	7.67926i	−0.208072	−	0.00942241i
$816$	−188.471	+	580.055i	−0.230970	+	0.710851i
$817$	495.227	−	78.4363i	0.606153	−	0.0960053i
$818$	598.118	+	598.118i	0.731196	+	0.731196i
$819$	34.2826	−	47.1859i	0.0418591	−	0.0576141i
$820$	−172.779	−	35.4440i	−0.210706	−	0.0432243i
$821$	−420.358	+	305.408i	−0.512007	+	0.371995i	−0.813585	−	0.581447i	$-0.802487\pi$
$821$	−420.358	+	305.408i	−0.512007	+	0.371995i	0.301577	+	0.953442i	$0.402487\pi$
$822$	53.7103	−	339.113i	0.0653410	−	0.412547i
$823$	−53.4102	+	104.823i	−0.0648969	+	0.127367i	−0.921176	−	0.389146i	$-0.872770\pi$
$823$	−53.4102	+	104.823i	−0.0648969	+	0.127367i	0.856279	+	0.516513i	$0.172770\pi$
$824$			1361.24i			1.65199i
$825$	90.3932	−	75.3511i	0.109568	−	0.0913347i
$826$	−575.144			−0.696300
$827$	29.9106	+	15.2402i	0.0361676	+	0.0184283i	0.471981	−	0.881609i	$-0.343539\pi$
$827$	29.9106	+	15.2402i	0.0361676	+	0.0184283i	−0.435813	+	0.900037i	$0.643539\pi$
$828$	−88.8627	−	14.0745i	−0.107322	−	0.0169982i
$829$	68.5377	+	94.3340i	0.0826751	+	0.113793i	0.848351	−	0.529434i	$-0.177596\pi$
$829$	68.5377	+	94.3340i	0.0826751	+	0.113793i	−0.765676	+	0.643226i	$0.777596\pi$
$830$	944.930	−	863.056i	1.13847	−	1.03983i
$831$	−379.520	−	275.737i	−0.456702	−	0.331814i
$832$	210.998	−	210.998i	0.253604	−	0.253604i
$833$	−142.425	−	899.234i	−0.170978	−	1.07951i
$834$	430.286	+	139.808i	0.515930	+	0.167636i
$835$	217.462	+	81.7074i	0.260433	+	0.0978532i
$836$	6.07140	+	18.6858i	0.00726244	+	0.0223515i
$837$	−32.6936	−	64.1649i	−0.0390605	−	0.0766605i
$838$	−898.148	+	457.629i	−1.07178	+	0.546097i
$839$	805.137	−	261.605i	0.959639	−	0.311806i	0.213013	−	0.977049i	$-0.431672\pi$
$839$	805.137	−	261.605i	0.959639	−	0.311806i	0.746626	+	0.665244i	$0.231672\pi$
$840$	92.0939	+	334.181i	0.109636	+	0.397835i
$841$	183.390	−	564.418i	0.218062	−	0.671127i
$842$	523.622	−	82.9336i	0.621879	−	0.0984959i
$843$	361.844	+	361.844i	0.429233	+	0.429233i
$844$	−44.2363	+	60.8861i	−0.0524127	+	0.0721399i
$845$	−688.682	+	312.504i	−0.815008	+	0.369827i
$846$	−114.051	+	82.8626i	−0.134812	+	0.0979464i
$847$	−82.0242	+	517.880i	−0.0968409	+	0.611429i
$848$	171.916	−	337.404i	0.202731	−	0.397883i
$849$			215.586i			0.253930i
$850$	−313.148	−	1376.73i	−0.368410	−	1.61969i
$851$	1436.46			1.68796
$852$	−84.4735	−	43.0414i	−0.0991473	−	0.0505181i
$853$	81.6841	+	12.9375i	0.0957609	+	0.0151670i	0.204131	−	0.978944i	$-0.434563\pi$
$853$	81.6841	+	12.9375i	0.0957609	+	0.0151670i	−0.108370	+	0.994111i	$0.534563\pi$
$854$	239.555	+	329.719i	0.280509	+	0.386087i
$855$	102.896	−	11.5546i	0.120346	−	0.0135142i
$856$	−238.109	−	172.997i	−0.278165	−	0.202099i
$857$	213.052	−	213.052i	0.248602	−	0.248602i	−0.571795	−	0.820397i	$-0.693753\pi$
$857$	213.052	−	213.052i	0.248602	−	0.248602i	0.820397	+	0.571795i	$0.193753\pi$
$858$	5.33043	+	33.6550i	0.00621262	+	0.0392249i
$859$	452.700	+	147.091i	0.527008	+	0.171235i	0.560423	−	0.828206i	$-0.310638\pi$
$859$	452.700	+	147.091i	0.527008	+	0.171235i	−0.0334153	+	0.999442i	$0.510638\pi$
$860$	237.267	−	297.295i	0.275891	−	0.345692i
$861$	83.1989	+	256.060i	0.0966305	+	0.297398i
$862$	115.246	+	226.183i	0.133696	+	0.262393i
$863$	361.408	−	184.147i	0.418781	−	0.213380i	−0.231885	−	0.972743i	$-0.574489\pi$
$863$	361.408	−	184.147i	0.418781	−	0.213380i	0.650667	+	0.759363i	$0.274489\pi$
$864$	−80.4623	+	26.1438i	−0.0931276	+	0.0302590i
$865$	−1262.32	+	832.571i	−1.45933	+	0.962510i
$866$	−414.385	+	1275.35i	−0.478505	+	1.47269i
$867$	1353.55	−	214.381i	1.56119	−	0.247268i
$868$	−47.3667	−	47.3667i	−0.0545699	−	0.0545699i
$869$	−170.415	+	234.557i	−0.196105	+	0.269915i
$870$	115.622	−	203.590i	0.132898	−	0.234012i
$871$	−177.636	+	129.060i	−0.203945	+	0.148175i
$872$	143.128	−	903.675i	0.164138	−	1.03632i
$873$	22.6502	−	44.4536i	0.0259453	−	0.0509205i
$874$		−	339.655i		−	0.388621i
$875$	−416.521	−	399.129i	−0.476024	−	0.456148i
$876$	231.164			0.263886
$877$	1082.74	+	551.682i	1.23459	+	0.629056i	0.944679	−	0.327997i	$-0.106374\pi$
$877$	1082.74	+	551.682i	1.23459	+	0.629056i	0.289913	+	0.957053i	$0.406374\pi$
$878$	717.602	+	113.657i	0.817314	+	0.129450i
$879$	−334.797	−	460.808i	−0.380884	−	0.524241i
$880$	−126.596	−	71.8955i	−0.143859	−	0.0816995i
$881$	1169.91	+	849.986i	1.32793	+	0.964797i	0.999797	+	0.0201646i	$0.00641903\pi$
$881$	1169.91	+	849.986i	1.32793	+	0.964797i	0.328132	+	0.944632i	$0.393581\pi$
$882$	−100.975	+	100.975i	−0.114484	+	0.114484i
$883$	−74.1069	−	467.893i	−0.0839263	−	0.529890i	−0.993453	−	0.114244i	$-0.963555\pi$
$883$	−74.1069	−	467.893i	−0.0839263	−	0.529890i	0.909526	−	0.415646i	$-0.136445\pi$
$884$	−137.909	−	44.8093i	−0.156006	−	0.0506893i
$885$	345.816	+	524.315i	0.390752	+	0.592446i
$886$	49.7290	+	153.050i	0.0561276	+	0.172743i
$887$	235.185	+	461.577i	0.265147	+	0.520380i	0.984744	−	0.174012i	$-0.0556732\pi$
$887$	235.185	+	461.577i	0.265147	+	0.520380i	−0.719597	+	0.694392i	$0.755673\pi$
$888$	671.429	−	342.110i	0.756114	−	0.385259i
$889$	−567.106	+	184.264i	−0.637915	+	0.207271i
$890$	35.7092	+	28.4990i	0.0401227	+	0.0320213i
$891$	7.55839	−	23.2623i	0.00848304	−	0.0261081i
$892$	−91.8507	+	14.5477i	−0.102972	+	0.0163091i
$893$	133.482	+	133.482i	0.149475	+	0.149475i
$894$	220.713	−	303.785i	0.246882	−	0.339804i
$895$	−92.3600	−	822.480i	−0.103196	−	0.918972i
$896$	211.282	−	153.505i	0.235805	−	0.171323i
$897$	−32.6852	+	206.366i	−0.0364384	+	0.230063i
$898$	−360.639	+	707.793i	−0.401602	+	0.788188i
$899$			218.049i			0.242546i
$900$	51.7242	−	59.1139i	0.0574713	−	0.0656821i
$901$	−1161.65			−1.28929
$902$	−140.149	−	71.4096i	−0.155376	−	0.0791681i
$903$	−573.478	−	90.8300i	−0.635081	−	0.100587i
$904$	358.362	+	493.243i	0.396418	+	0.545623i
$905$	139.808	+	308.102i	0.154483	+	0.340444i
$906$	−304.551	−	221.269i	−0.336149	−	0.244227i
$907$	848.042	−	848.042i	0.934997	−	0.934997i	−0.0630156	−	0.998013i	$-0.520072\pi$
$907$	848.042	−	848.042i	0.934997	−	0.934997i	0.998013	+	0.0630156i	$0.0200718\pi$
$908$	−45.9976	−	290.417i	−0.0506582	−	0.319843i
$909$	−497.653	−	161.697i	−0.547474	−	0.177885i
$910$	161.034	−	44.3778i	0.176960	−	0.0487668i
$911$	124.591	+	383.451i	0.136763	+	0.420912i	0.995860	−	0.0909001i	$-0.0289744\pi$
$911$	124.591	+	383.451i	0.136763	+	0.420912i	−0.859097	+	0.511812i	$0.828974\pi$
$912$	−58.1542	−	114.134i	−0.0637656	−	0.125147i
$913$	−360.688	+	183.780i	−0.395058	+	0.201292i
$914$	−355.861	+	115.626i	−0.389345	+	0.126506i
$915$	156.543	−	416.633i	0.171085	−	0.455337i
$916$	−34.7426	+	106.927i	−0.0379286	+	0.116732i
$917$	−129.362	+	20.4889i	−0.141071	+	0.0223434i
$918$	−207.506	−	207.506i	−0.226041	−	0.226041i
$919$	100.888	−	138.860i	0.109780	−	0.151099i	−0.750592	−	0.660766i	$-0.770232\pi$
$919$	100.888	−	138.860i	0.109780	−	0.151099i	0.860372	+	0.509667i	$0.170232\pi$
$920$	−837.444	−	916.888i	−0.910265	−	0.996617i
$921$	−288.694	+	209.748i	−0.313457	+	0.227740i
$922$	47.5146	−	299.995i	0.0515343	−	0.325375i
$923$	−99.9553	+	196.173i	−0.108294	+	0.212539i
$924$		−	22.7519i		−	0.0246233i
$925$	−668.011	+	1061.37i	−0.722174	+	1.14743i
$926$	−635.098			−0.685851
$927$	−419.536	−	213.764i	−0.452573	−	0.230598i
$928$	253.013	+	40.0733i	0.272643	+	0.0431825i
$929$	840.036	+	1156.21i	0.904237	+	1.24458i	0.969097	+	0.246681i	$0.0793401\pi$
$929$	840.036	+	1156.21i	0.904237	+	1.24458i	−0.0648595	+	0.997894i	$0.520660\pi$
$930$	41.4452	−	202.033i	0.0445647	−	0.217240i
$931$	154.697	+	112.394i	0.166162	+	0.120724i
$932$	41.3135	−	41.3135i	0.0443278	−	0.0443278i
$933$	2.81459	+	17.7706i	0.00301671	+	0.0190468i
$934$	−266.939	−	86.7338i	−0.285802	−	0.0928627i
$935$	−20.2038	+	446.153i	−0.0216083	+	0.477169i
$936$	33.8710	+	104.244i	0.0361870	+	0.111372i
$937$	−695.529	−	1365.05i	−0.742293	−	1.45683i	−0.884277	−	0.466963i	$-0.845348\pi$
$937$	−695.529	−	1365.05i	−0.742293	−	1.45683i	0.141984	−	0.989869i	$-0.454652\pi$
$938$	−368.287	+	187.651i	−0.392630	+	0.200055i
$939$	834.768	−	271.233i	0.888997	−	0.288853i
$940$	143.058	+	6.47828i	0.152189	+	0.00689179i
$941$	51.8563	−	159.597i	0.0551077	−	0.169604i	−0.919714	−	0.392588i	$-0.871580\pi$
$941$	51.8563	−	159.597i	0.0551077	−	0.169604i	0.974822	+	0.222984i	$0.0715798\pi$
$942$	−376.604	+	59.6482i	−0.399792	+	0.0633208i
$943$	−682.000	−	682.000i	−0.723224	−	0.723224i
$944$	456.726	−	628.630i	0.483820	−	0.665921i
$945$	−117.457	−	24.0951i	−0.124293	−	0.0254975i
$946$	274.428	−	199.384i	0.290093	−	0.210765i
$947$	−93.0886	+	587.738i	−0.0982984	+	0.620632i	0.888525	+	0.458829i	$0.151731\pi$
$947$	−93.0886	+	587.738i	−0.0982984	+	0.620632i	−0.986823	+	0.161803i	$0.948269\pi$
$948$	−87.8554	+	172.426i	−0.0926745	+	0.181884i
$949$		−	536.833i		−	0.565683i
$950$	250.965	+	157.953i	0.264174	+	0.166267i
$951$	−756.884			−0.795882
$952$	−1172.15	−	597.239i	−1.23125	−	0.627352i
$953$	−1279.99	−	202.730i	−1.34311	−	0.212728i	−0.556846	−	0.830616i	$-0.687989\pi$
$953$	−1279.99	−	202.730i	−1.34311	−	0.212728i	−0.786266	+	0.617888i	$0.787989\pi$
$954$	107.095	+	147.404i	0.112259	+	0.154512i
$955$	983.211	−	898.020i	1.02954	−	0.940335i
$956$	369.603	+	268.533i	0.386614	+	0.280892i
$957$	−52.3684	+	52.3684i	−0.0547214	+	0.0547214i
$958$	−65.5474	−	413.850i	−0.0684211	−	0.431994i
$959$	506.337	+	164.519i	0.527984	+	0.171553i
$960$	−574.238	−	215.760i	−0.598165	−	0.224750i
$961$	−237.611	−	731.292i	−0.247254	−	0.760970i
$962$	−164.855	−	323.545i	−0.171367	−	0.336326i
$963$	90.7093	−	46.2187i	0.0941945	−	0.0479945i
$964$	−275.291	+	89.4475i	−0.285572	+	0.0927879i
$965$	−13.1972	−	47.8889i	−0.0136759	−	0.0496258i
$966$	−121.544	+	374.073i	−0.125822	+	0.387239i
$967$	107.865	−	17.0841i	0.111546	−	0.0176671i	−0.100412	−	0.994946i	$-0.532016\pi$
$967$	107.865	−	17.0841i	0.111546	−	0.0176671i	0.211958	+	0.977279i	$0.432016\pi$
$968$	−696.764	−	696.764i	−0.719798	−	0.719798i
$969$	−230.973	+	317.906i	−0.238362	+	0.328077i
$970$	130.115	−	59.0423i	0.134139	−	0.0608684i
$971$	−345.103	+	250.732i	−0.355410	+	0.258220i	−0.751135	−	0.660149i	$-0.770493\pi$
$971$	−345.103	+	250.732i	−0.355410	+	0.258220i	0.395725	+	0.918369i	$0.370493\pi$
$972$	2.55394	−	16.1250i	0.00262751	−	0.0165895i
$973$	−318.497	+	625.086i	−0.327335	+	0.642431i
$974$		−	496.131i		−	0.509375i
$975$	−137.281	−	120.119i	−0.140801	−	0.123199i
$976$	−550.613			−0.564153
$977$	−917.640	−	467.561i	−0.939242	−	0.478568i	−0.0838096	−	0.996482i	$-0.526709\pi$
$977$	−917.640	−	467.561i	−0.939242	−	0.478568i	−0.855433	+	0.517914i	$0.826709\pi$
$978$	−99.8009	−	15.8069i	−0.102046	−	0.0161625i
$979$	−8.49455	−	11.6917i	−0.00867676	−	0.0119425i
$980$	144.153	−	16.1876i	0.147095	−	0.0165179i
$981$	256.037	+	186.022i	0.260996	+	0.189624i
$982$	−344.830	+	344.830i	−0.351150	+	0.351150i
$983$	122.353	+	772.505i	0.124469	+	0.785865i	0.968398	+	0.249410i	$0.0802367\pi$
$983$	122.353	+	772.505i	0.124469	+	0.785865i	−0.843929	+	0.536455i	$0.819763\pi$
$984$	−481.208	−	156.354i	−0.489032	−	0.158896i
$985$	−118.573	+	148.572i	−0.120379	+	0.150835i
$986$	274.578	+	845.063i	0.278476	+	0.857062i
$987$	−99.2419	−	194.773i	−0.100549	−	0.197339i
$988$	27.1356	−	13.8263i	0.0274651	−	0.0139942i
$989$	1978.19	−	642.752i	2.00019	−	0.649901i
$990$	58.4758	−	38.5682i	0.0590664	−	0.0389577i
$991$	−291.120	+	895.974i	−0.293764	+	0.904111i	0.689870	+	0.723933i	$0.257668\pi$
$991$	−291.120	+	895.974i	−0.293764	+	0.904111i	−0.983634	+	0.180178i	$0.942332\pi$
$992$	222.873	−	35.2997i	0.224671	−	0.0355844i
$993$	−493.140	−	493.140i	−0.496617	−	0.496617i
$994$	−243.618	+	335.311i	−0.245088	+	0.337335i
$995$	−720.103	+	1267.98i	−0.723721	+	1.27435i
$996$	−218.595	+	158.819i	−0.219473	+	0.159456i
$997$	−28.8792	+	182.336i	−0.0289661	+	0.182885i	−0.997929	−	0.0643202i	$-0.979512\pi$
$997$	−28.8792	+	182.336i	−0.0289661	+	0.182885i	0.968963	+	0.247205i	$0.0795121\pi$
$998$	−167.371	+	328.483i	−0.167706	+	0.329142i
$999$			260.658i			0.260919i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	75.3.k.a.58.8	yes	80
3.2	odd	2		225.3.r.b.208.3		80
5.2	odd	4		375.3.k.c.232.3		80
5.3	odd	4		375.3.k.b.232.8		80
5.4	even	2		375.3.k.a.268.3		80
25.3	odd	20		375.3.k.a.7.3		80
25.4	even	10		375.3.k.b.118.8		80
25.21	even	5		375.3.k.c.118.3		80
25.22	odd	20	inner	75.3.k.a.22.8	✓	80
75.47	even	20		225.3.r.b.172.3		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.22.8	✓	80	25.22	odd	20	inner
75.3.k.a.58.8	yes	80	1.1	even	1	trivial
225.3.r.b.172.3		80	75.47	even	20
225.3.r.b.208.3		80	3.2	odd	2
375.3.k.a.7.3		80	25.3	odd	20
375.3.k.a.268.3		80	5.4	even	2
375.3.k.b.118.8		80	25.4	even	10
375.3.k.b.232.8		80	5.3	odd	4
375.3.k.c.118.3		80	25.21	even	5
375.3.k.c.232.3		80	5.2	odd	4

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:	\( N \)	\(=\)	\( 75 = 3 \cdot 5^{2} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	75.k (of order \(20\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(1.53105 + 0.780110i) q^{2} +(1.71073 + 0.270952i) q^{3} +(-0.615594 - 0.847292i) q^{4} +(4.34778 + 2.46917i) q^{5} +(2.40784 + 1.74940i) q^{6} +(-3.26334 + 3.26334i) q^{7} +(-1.35675 - 8.56621i) q^{8} +(2.85317 + 0.927051i) q^{9} +O(q^{10})\)	\(q+(1.53105 + 0.780110i) q^{2} +(1.71073 + 0.270952i) q^{3} +(-0.615594 - 0.847292i) q^{4} +(4.34778 + 2.46917i) q^{5} +(2.40784 + 1.74940i) q^{6} +(-3.26334 + 3.26334i) q^{7} +(-1.35675 - 8.56621i) q^{8} +(2.85317 + 0.927051i) q^{9} +(4.73046 + 7.17217i) q^{10} +(-0.839821 - 2.58470i) q^{11} +(-0.823537 - 1.61628i) q^{12} +(-3.75350 + 1.91251i) q^{13} +(-7.54211 + 2.45058i) q^{14} +(6.76884 + 5.40211i) q^{15} +(3.31078 - 10.1895i) q^{16} +(-32.4619 + 5.14147i) q^{17} +(3.64515 + 3.64515i) q^{18} +(4.05737 - 5.58450i) q^{19} +(-0.584364 - 5.20385i) q^{20} +(-6.46690 + 4.69848i) q^{21} +(0.730543 - 4.61246i) q^{22} +(13.0002 - 25.5143i) q^{23} -15.0221i q^{24} +(12.8064 + 21.4708i) q^{25} -7.23877 q^{26} +(4.62981 + 2.35900i) q^{27} +(4.77390 + 0.756111i) q^{28} +(-9.24779 - 12.7285i) q^{29} +(6.14921 + 13.5513i) q^{30} +(-11.2122 - 8.14616i) q^{31} +(-11.5130 + 11.5130i) q^{32} +(-0.736372 - 4.64927i) q^{33} +(-53.7118 - 17.4520i) q^{34} +(-22.2460 + 6.13057i) q^{35} +(-0.970911 - 2.98816i) q^{36} +(22.7738 + 44.6962i) q^{37} +(10.5686 - 5.38495i) q^{38} +(-6.93941 + 2.25475i) q^{39} +(15.2525 - 40.5941i) q^{40} +(10.4083 - 32.0334i) q^{41} +(-13.5665 + 2.14872i) q^{42} +(51.3622 + 51.3622i) q^{43} +(-1.67301 + 2.30270i) q^{44} +(10.1159 + 11.0756i) q^{45} +(39.8079 - 28.9221i) q^{46} +(-4.27802 + 27.0103i) q^{47} +(8.42471 - 16.5344i) q^{48} +27.7012i q^{49} +(2.85774 + 42.8633i) q^{50} -56.9266 q^{51} +(3.93108 + 2.00299i) q^{52} +(34.9094 + 5.52911i) q^{53} +(5.24819 + 7.22351i) q^{54} +(2.73070 - 13.3114i) q^{55} +(32.3820 + 23.5269i) q^{56} +(8.45419 - 8.45419i) q^{57} +(-4.22922 - 26.7023i) q^{58} +(68.9757 + 22.4116i) q^{59} +(0.410309 - 9.06069i) q^{60} +(-15.8811 - 48.8771i) q^{61} +(-10.8116 - 21.2190i) q^{62} +(-12.3362 + 6.28559i) q^{63} +(-67.3665 + 21.8887i) q^{64} +(-21.0417 - 0.952863i) q^{65} +(2.49952 - 7.69272i) q^{66} +(51.4800 - 8.15363i) q^{67} +(24.3397 + 24.3397i) q^{68} +(29.1529 - 40.1255i) q^{69} +(-38.8424 - 7.96813i) q^{70} +(42.2825 - 30.7201i) q^{71} +(4.07026 - 25.6986i) q^{72} +(-57.8536 + 113.544i) q^{73} +86.1983i q^{74} +(16.0908 + 40.2006i) q^{75} -7.22940 q^{76} +(11.1754 + 5.69415i) q^{77} +(-12.3836 - 1.96136i) q^{78} +(-62.7053 - 86.3064i) q^{79} +(39.5542 - 36.1270i) q^{80} +(7.28115 + 5.29007i) q^{81} +(40.9252 - 40.9252i) q^{82} +(-23.3012 - 147.118i) q^{83} +(7.96197 + 2.58700i) q^{84} +(-153.833 - 57.7999i) q^{85} +(38.5700 + 118.706i) q^{86} +(-12.3716 - 24.2807i) q^{87} +(-21.0017 + 10.7009i) q^{88} +(5.05736 - 1.64324i) q^{89} +(6.84784 + 24.8488i) q^{90} +(6.00781 - 18.4901i) q^{91} +(-29.6209 + 4.69149i) q^{92} +(-16.9738 - 16.9738i) q^{93} +(-27.6209 + 38.0169i) q^{94} +(31.4296 - 14.2619i) q^{95} +(-22.8151 + 16.5761i) q^{96} +(2.60158 - 16.4257i) q^{97} +(-21.6100 + 42.4119i) q^{98} -8.15315i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8}+O(q^{10}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8	\( 80 q + 4 q^{2} + 4 q^{5} - 4 q^{7} - 12 q^{8} - 4 q^{10} - 24 q^{12} + 32 q^{13} - 24 q^{15} + 80 q^{16} - 100 q^{17} - 48 q^{18} - 100 q^{19} - 244 q^{20} - 100 q^{22} - 96 q^{23} - 16 q^{25} - 40 q^{26} + 196 q^{28} + 200 q^{29} + 264 q^{30} + 636 q^{32} + 216 q^{33} + 100 q^{34} + 260 q^{35} - 120 q^{36} - 184 q^{37} - 564 q^{38} - 948 q^{40} + 160 q^{41} - 12 q^{42} - 472 q^{43} - 700 q^{44} - 36 q^{45} - 288 q^{47} - 48 q^{48} + 16 q^{50} + 620 q^{52} + 304 q^{53} + 604 q^{55} + 72 q^{57} + 1272 q^{58} + 800 q^{59} + 84 q^{60} - 240 q^{61} + 1212 q^{62} - 12 q^{63} + 100 q^{64} + 272 q^{65} - 80 q^{67} + 104 q^{68} - 260 q^{70} + 36 q^{72} - 116 q^{73} - 24 q^{75} - 88 q^{77} - 120 q^{78} + 200 q^{79} - 164 q^{80} + 180 q^{81} - 168 q^{82} - 1264 q^{83} - 1200 q^{84} - 212 q^{85} - 876 q^{87} - 212 q^{88} - 1500 q^{89} - 444 q^{90} - 1504 q^{92} - 648 q^{93} - 200 q^{94} - 784 q^{95} + 60 q^{96} - 260 q^{97} - 92 q^{98}+O(q^{100}) \) 80 * q + 4 * q^2 + 4 * q^5 - 4 * q^7 - 12 * q^8 - 4 * q^10 - 24 * q^12 + 32 * q^13 - 24 * q^15 + 80 * q^16 - 100 * q^17 - 48 * q^18 - 100 * q^19 - 244 * q^20 - 100 * q^22 - 96 * q^23 - 16 * q^25 - 40 * q^26 + 196 * q^28 + 200 * q^29 + 264 * q^30 + 636 * q^32 + 216 * q^33 + 100 * q^34 + 260 * q^35 - 120 * q^36 - 184 * q^37 - 564 * q^38 - 948 * q^40 + 160 * q^41 - 12 * q^42 - 472 * q^43 - 700 * q^44 - 36 * q^45 - 288 * q^47 - 48 * q^48 + 16 * q^50 + 620 * q^52 + 304 * q^53 + 604 * q^55 + 72 * q^57 + 1272 * q^58 + 800 * q^59 + 84 * q^60 - 240 * q^61 + 1212 * q^62 - 12 * q^63 + 100 * q^64 + 272 * q^65 - 80 * q^67 + 104 * q^68 - 260 * q^70 + 36 * q^72 - 116 * q^73 - 24 * q^75 - 88 * q^77 - 120 * q^78 + 200 * q^79 - 164 * q^80 + 180 * q^81 - 168 * q^82 - 1264 * q^83 - 1200 * q^84 - 212 * q^85 - 876 * q^87 - 212 * q^88 - 1500 * q^89 - 444 * q^90 - 1504 * q^92 - 648 * q^93 - 200 * q^94 - 784 * q^95 + 60 * q^96 - 260 * q^97 - 92 * q^98

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