LMFDB - Embedded newform 75.3.k.a.22.8

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			22.8
Character	$\chi$	$=$	75.22
Dual form			75.3.k.a.58.8

$q$-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 $\left(\mathbb{Z}/75\mathbb{Z}\right)^\times$.

$n$	$26$	$52$
$\chi(n)$	$1$	$e\left(\frac{17}{20}\right)$

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	−0.0272026	−	0.999630i	$-0.508660\pi$
$2$	1.53105	−	0.780110i	0.765526	−	0.390055i	0.792728	+	0.609575i	$0.208660\pi$
$3$	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	0.434486	−	0.900678i	$-0.356930\pi$
$7$	−3.26334	−	3.26334i	−0.466192	−	0.466192i	−0.900678	+	0.434486i	$0.856930\pi$
$8$	−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	−0.981946	−	0.189164i	$-0.939422\pi$
$11$	−0.839821	+	2.58470i	−0.0763473	+	0.234973i	0.905598	+	0.424137i	$0.139422\pi$
$12$	−0.823537	+	1.61628i	−0.0686281	+	0.134690i
$13$	−3.75350	−	1.91251i	−0.288731	−	0.147116i	0.303626	−	0.952791i	$-0.401803\pi$
$13$	−3.75350	−	1.91251i	−0.288731	−	0.147116i	−0.592357	+	0.805675i	$0.701803\pi$
$14$	−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	−0.914708	−	0.404115i	$-0.867580\pi$
$17$	−32.4619	−	5.14147i	−1.90953	−	0.302439i	−0.994818	+	0.101675i	$0.967580\pi$
$18$	3.64515	−	3.64515i	0.202508	−	0.202508i
$19$	4.05737	+	5.58450i	0.213546	+	0.293921i	0.902330	−	0.431046i	$-0.141855\pi$
$19$	4.05737	+	5.58450i	0.213546	+	0.293921i	−0.688784	+	0.724967i	$0.741855\pi$
$20$	−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	0.979926	+	0.199360i	$0.0638862\pi$
$23$	13.0002	+	25.5143i	0.565225	+	1.10932i	−0.414701	+	0.909958i	$0.636114\pi$
$24$			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	−0.938128	−	0.346290i	$-0.887441\pi$
$29$	−9.24779	+	12.7285i	−0.318889	+	0.438913i	0.619238	+	0.785203i	$0.287441\pi$
$30$	6.14921	−	13.5513i	0.204974	−	0.451712i
$31$	−11.2122	+	8.14616i	−0.361685	+	0.262779i	−0.753755	−	0.657156i	$-0.771759\pi$
$31$	−11.2122	+	8.14616i	−0.361685	+	0.262779i	0.392070	+	0.919936i	$0.371759\pi$
$32$	−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	−0.347282	−	0.937761i	$-0.612895\pi$
$37$	22.7738	−	44.6962i	0.615509	−	1.20801i	0.962792	−	0.270245i	$-0.0871046\pi$
$38$	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	0.994052	+	0.108906i	$0.0347349\pi$
$41$	10.4083	+	32.0334i	0.253861	+	0.781303i	−0.740191	+	0.672396i	$0.765265\pi$
$42$	−13.5665	−	2.14872i	−0.323011	−	0.0511600i
$43$	51.3622	−	51.3622i	1.19447	−	1.19447i	0.218670	−	0.975799i	$-0.429828\pi$
$43$	51.3622	−	51.3622i	1.19447	−	1.19447i	0.975799	−	0.218670i	$-0.0701718\pi$
$44$	−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	−0.990477	−	0.137676i	$-0.956037\pi$
$47$	−4.27802	−	27.0103i	−0.0910216	−	0.574688i	0.899456	−	0.437012i	$-0.143963\pi$
$48$	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	0.181852	−	0.983326i	$-0.441791\pi$
$53$	34.9094	−	5.52911i	0.658668	−	0.104323i	0.476816	+	0.879003i	$0.341791\pi$
$54$	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	0.340780	−	0.940143i	$-0.389309\pi$
$59$	68.9757	−	22.4116i	1.16908	−	0.379857i	0.828299	+	0.560286i	$0.189309\pi$
$60$	0.410309	+	9.06069i	0.00683848	+	0.151012i
$61$	−15.8811	+	48.8771i	−0.260347	+	0.801264i	0.732382	+	0.680894i	$0.238408\pi$
$61$	−15.8811	+	48.8771i	−0.260347	+	0.801264i	−0.992729	+	0.120371i	$0.961592\pi$
$62$	−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	0.528294	−	0.849061i	$-0.322832\pi$
$67$	51.4800	+	8.15363i	0.768358	+	0.121696i	0.240064	+	0.970757i	$0.422832\pi$
$68$	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	0.844289	−	0.535888i	$-0.180023\pi$
$71$	42.2825	+	30.7201i	0.595529	+	0.432677i	−0.248760	+	0.968565i	$0.580023\pi$
$72$	4.07026	+	25.6986i	0.0565314	+	0.356926i
$73$	−57.8536	−	113.544i	−0.792515	−	1.55540i	−0.831087	−	0.556142i	$-0.812281\pi$
$73$	−57.8536	−	113.544i	−0.792515	−	1.55540i	0.0385727	−	0.999256i	$-0.487719\pi$
$74$		−	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	0.199894	+	0.979817i	$0.435940\pi$
$79$	−62.7053	+	86.3064i	−0.793738	+	1.09249i	−0.993633	+	0.112669i	$0.964060\pi$
$80$	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	0.295616	+	0.955307i	$0.404475\pi$
$83$	−23.3012	+	147.118i	−0.280738	+	1.77251i	−0.576354	+	0.817200i	$0.695525\pi$
$84$	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	0.337291	−	0.941400i	$-0.390489\pi$
$89$	5.05736	+	1.64324i	0.0568243	+	0.0184633i	−0.280467	+	0.959864i	$0.590489\pi$
$90$	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	0.997463	−	0.0711899i	$-0.0226796\pi$
$97$	2.60158	+	16.4257i	0.0268204	+	0.169337i	−0.970642	+	0.240527i	$0.922680\pi$
$98$	−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	−0.853844	−	0.520530i	$-0.825734\pi$
$103$	−155.020	+	24.5527i	−1.50504	+	0.238376i	−0.651201	+	0.758905i	$0.725734\pi$
$104$	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	0.810289	−	0.586030i	$-0.199310\pi$
$107$	23.9958	+	23.9958i	0.224260	+	0.224260i	−0.586030	+	0.810289i	$0.699310\pi$
$108$	−0.851314	+	5.37499i	−0.00788254	+	0.0497684i
$109$	100.330	−	32.5991i	0.920456	−	0.299074i	0.189802	−	0.981822i	$-0.439215\pi$
$109$	100.330	−	32.5991i	0.920456	−	0.299074i	0.730654	+	0.682748i	$0.239215\pi$
$110$	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	0.154325	−	0.988020i	$-0.450680\pi$
$113$	−62.6347	−	31.9140i	−0.554290	−	0.282425i	−0.708615	+	0.705595i	$0.750680\pi$
$114$	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	0.0623745	−	0.998053i	$-0.480133\pi$
$127$	115.123	−	58.6580i	0.906479	−	0.461874i	0.844104	+	0.536179i	$0.180133\pi$
$128$	−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	−0.496694	−	0.867925i	$-0.665453\pi$
$131$	22.9597	−	16.6812i	0.175265	−	0.127337i	0.671959	+	0.740588i	$0.265453\pi$
$132$	−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	−0.999328	−	0.0366586i	$-0.988329\pi$
$137$	−52.3724	+	102.787i	−0.382280	+	0.750267i	0.617048	+	0.786926i	$0.288329\pi$
$138$	75.9369	+	38.6918i	0.550268	+	0.280375i
$139$	144.573	+	46.9746i	1.04009	+	0.337947i	0.778774	−	0.627305i	$-0.215842\pi$
$139$	144.573	+	46.9746i	1.04009	+	0.337947i	0.261320	+	0.965252i	$0.415842\pi$
$140$	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	$0.139154\pi$
$149$			126.165i			0.846745i	−0.905956	+	0.423373i	$0.860846\pi$
$150$	−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	0.357071	−	0.934077i	$-0.383776\pi$
$157$	−90.5901	−	90.5901i	−0.577007	−	0.577007i	−0.934077	+	0.357071i	$0.883776\pi$
$158$	−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	0.358730	−	0.933441i	$-0.383210\pi$
$163$	−30.2501	−	15.4132i	−0.185583	−	0.0945593i	−0.544313	+	0.838882i	$0.683210\pi$
$164$	−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	0.292306	−	0.956325i	$-0.405578\pi$
$167$	45.8890	+	7.26810i	0.274784	+	0.0435216i	−0.0175214	+	0.999846i	$0.505578\pi$
$168$	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	−0.829659	−	0.558270i	$-0.811465\pi$
$173$	−137.301	−	269.468i	−0.793648	−	1.55762i	0.0360118	−	0.999351i	$-0.488535\pi$
$174$			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	−0.989120	−	0.147112i	$-0.953002\pi$
$179$	−97.2960	+	133.916i	−0.543553	+	0.748137i	0.445567	+	0.895249i	$0.353002\pi$
$180$	3.15694	+	15.3892i	0.0175386	+	0.0854955i
$181$	54.7443	−	39.7740i	0.302455	−	0.219746i	−0.426198	−	0.904630i	$-0.640147\pi$
$181$	54.7443	−	39.7740i	0.302455	−	0.219746i	0.728652	+	0.684884i	$0.240147\pi$
$182$	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	0.897256	+	0.441512i	$0.145558\pi$
$191$	82.2970	+	253.284i	0.430875	+	1.32610i	−0.466381	+	0.884584i	$0.654442\pi$
$192$	−121.176	−	19.1925i	−0.631127	−	0.0999608i
$193$	−7.02497	+	7.02497i	−0.0363988	+	0.0363988i	−0.725072	−	0.688673i	$-0.758194\pi$
$193$	−7.02497	+	7.02497i	−0.0363988	+	0.0363988i	0.688673	+	0.725072i	$0.258194\pi$
$194$	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	0.967985	−	0.251008i	$-0.0807620\pi$
$197$	−5.94726	−	37.5495i	−0.0301891	−	0.190607i	−0.998174	+	0.0604012i	$0.980762\pi$
$198$	6.36035	+	12.4829i	0.0321230	+	0.0630449i
$199$		−	291.638i		−	1.46552i	−0.680488	−	0.732759i	$-0.738232\pi$
$199$		−	291.638i		−	1.46552i	0.680488	−	0.732759i	$-0.261768\pi$
$200$	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	−0.989787	−	0.142555i	$-0.954468\pi$
$211$	−22.2058	+	68.3425i	−0.105241	+	0.323898i	0.884546	+	0.466453i	$0.154468\pi$
$212$	−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	0.963555	−	0.267510i	$-0.0862010\pi$
$223$	40.3119	+	79.1166i	0.180771	+	0.354783i	−0.782784	+	0.622294i	$0.786201\pi$
$224$			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	0.194227	−	0.980957i	$-0.437780\pi$
$227$	250.154	−	127.460i	1.10200	−	0.561498i	0.907774	+	0.419459i	$0.137780\pi$
$228$	−12.3675	+	1.95882i	−0.0542435	+	0.00859133i
$229$	−63.0991	+	86.8485i	−0.275542	+	0.379251i	−0.924251	−	0.381786i	$-0.875309\pi$
$229$	−63.0991	+	86.8485i	−0.275542	+	0.379251i	0.648709	+	0.761037i	$0.275309\pi$
$230$	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	−0.961858	−	0.273550i	$-0.911802\pi$
$233$	8.72697	−	55.0999i	0.0374548	−	0.236480i	0.999313	+	0.0370693i	$0.0118022\pi$
$234$	−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	−0.741572	−	0.670873i	$-0.765919\pi$
$239$	−414.867	−	134.799i	−1.73585	−	0.564010i	−0.994274	+	0.106863i	$0.965919\pi$
$240$	77.4550	+	51.0861i	0.322729	+	0.212859i
$241$	85.4069	+	262.855i	0.354385	+	1.09069i	0.956365	+	0.292174i	$0.0943788\pi$
$241$	85.4069	+	262.855i	0.354385	+	1.09069i	−0.601980	+	0.798511i	$0.705621\pi$
$242$	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	0.701196	−	0.712968i	$-0.252650\pi$
$257$	−3.02535	−	3.02535i	−0.0117718	−	0.0117718i	−0.712968	+	0.701196i	$0.752650\pi$
$258$	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	0.981958	−	0.189101i	$-0.0605575\pi$
$263$	369.818	+	188.432i	1.40615	+	0.716470i	0.424194	+	0.905571i	$0.360557\pi$
$264$	−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	0.765524	−	0.643407i	$-0.222480\pi$
$269$	−22.3143	−	30.7130i	−0.0829527	−	0.114175i	−0.848477	+	0.529233i	$0.822480\pi$
$270$	4.98194	−	44.3649i	0.0184516	−	0.164314i
$271$	−78.7050	−	57.1826i	−0.290425	−	0.211006i	0.433027	−	0.901381i	$-0.357445\pi$
$271$	−78.7050	−	57.1826i	−0.290425	−	0.211006i	−0.723452	+	0.690375i	$0.757445\pi$
$272$	−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	−0.831637	−	0.555319i	$-0.812596\pi$
$277$	−241.322	+	122.960i	−0.871199	+	0.443898i	−0.0395614	+	0.999217i	$0.512596\pi$
$278$	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	−0.0747094	−	0.997205i	$-0.523803\pi$
$281$	239.019	−	173.658i	0.850603	−	0.617999i	0.925312	+	0.379206i	$0.123803\pi$
$282$	−57.5525	−	57.5525i	−0.204087	−	0.204087i
$283$	19.4712	−	122.936i	0.0688029	−	0.434404i	−0.929109	−	0.369807i	$-0.879424\pi$
$283$	19.4712	−	122.936i	0.0688029	−	0.434404i	0.997911	−	0.0645971i	$-0.0205762\pi$
$284$	−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	−0.982083	−	0.188451i	$-0.939653\pi$
$293$	−232.534	+	232.534i	−0.793632	+	0.793632i	0.188451	+	0.982083i	$0.439653\pi$
$294$	−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	0.428845	−	0.903378i	$-0.358921\pi$
$307$	−145.681	−	145.681i	−0.474533	−	0.474533i	−0.903378	+	0.428845i	$0.858921\pi$
$308$	−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	−0.945763	−	0.324857i	$-0.894684\pi$
$311$	3.21000	−	9.87937i	0.0103215	−	0.0317664i	0.956085	+	0.293091i	$0.0946838\pi$
$312$	28.7298	−	56.3854i	0.0920826	−	0.180722i
$313$	451.523	+	230.062i	1.44257	+	0.735024i	0.987820	−	0.155598i	$-0.0497304\pi$
$313$	451.523	+	230.062i	1.44257	+	0.735024i	0.454745	+	0.890622i	$0.349730\pi$
$314$	−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	−0.567428	−	0.823423i	$-0.692062\pi$
$317$	−431.607	−	68.3598i	−1.36154	−	0.215646i	−0.794108	+	0.607777i	$0.792062\pi$
$318$	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	−0.958629	−	0.284659i	$-0.908120\pi$
$331$	−325.749	+	236.670i	−0.984135	+	0.715016i	−0.0255058	+	0.999675i	$0.508120\pi$
$332$	−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	0.558219	+	0.829694i	$0.311485\pi$
$337$	−148.661	+	291.764i	−0.441130	+	0.865767i	−0.999349	+	0.0360734i	$0.988515\pi$
$338$	−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	0.978585	+	0.205843i	$0.0659937\pi$
$347$	38.6920	+	244.292i	0.111504	+	0.704011i	−0.867080	+	0.498168i	$0.834006\pi$
$348$	−12.9569	−	25.4294i	−0.0372326	−	0.0730730i
$349$			121.375i			0.347778i	0.984765	+	0.173889i	$0.0556334\pi$
$349$			121.375i			0.347778i	−0.984765	+	0.173889i	$0.944367\pi$
$350$	−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	0.391783	−	0.920058i	$-0.371858\pi$
$353$	370.192	−	58.6327i	1.04870	−	0.166098i	0.656921	+	0.753959i	$0.271858\pi$
$354$	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	−0.0649315	−	0.997890i	$-0.520683\pi$
$359$	168.401	−	54.7167i	0.469083	−	0.152414i	0.534014	+	0.845476i	$0.320683\pi$
$360$	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	−0.793041	−	0.609169i	$-0.791503\pi$
$367$	−636.932	−	100.880i	−1.73551	−	0.274878i	−0.942470	+	0.334291i	$0.891503\pi$
$368$	−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	0.845291	−	0.534307i	$-0.179427\pi$
$373$	−31.2655	−	61.3621i	−0.0838218	−	0.164510i	−0.929113	+	0.369797i	$0.879427\pi$
$374$		−	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	−0.652880	−	0.757462i	$-0.726439\pi$
$379$	102.050	−	140.459i	0.269260	−	0.370605i	0.922140	+	0.386857i	$0.126439\pi$
$380$	−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	0.636923	+	0.770928i	$0.280207\pi$
$383$	−79.3026	+	500.697i	−0.207056	+	1.30730i	−0.843979	+	0.536376i	$0.819793\pi$
$384$	−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	0.300422	−	0.953806i	$-0.402872\pi$
$389$	−6.67688	−	2.16945i	−0.0171642	−	0.00557699i	−0.317587	+	0.948229i	$0.602872\pi$
$390$	−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	0.589002	+	0.808132i	$0.299521\pi$
$397$	110.586	+	698.213i	0.278554	+	1.75872i	−0.310448	+	0.950590i	$0.600479\pi$
$398$	−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	0.325530	−	0.945532i	$-0.394457\pi$
$409$	468.165	−	152.116i	1.14466	−	0.371922i	0.819129	+	0.573610i	$0.194457\pi$
$410$	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	−0.989198	−	0.146585i	$-0.953172\pi$
$419$	−344.807	−	474.587i	−0.822929	−	1.13267i	0.166269	−	0.986080i	$-0.446828\pi$
$420$	28.2292	−	30.9071i	0.0672123	−	0.0735884i
$421$	249.601	+	181.346i	0.592877	+	0.430750i	0.843343	−	0.537375i	$-0.180584\pi$
$421$	249.601	+	181.346i	0.592877	+	0.430750i	−0.250466	+	0.968125i	$0.580584\pi$
$422$	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	−0.440439	−	0.897783i	$-0.645177\pi$
$431$	119.517	−	86.8339i	0.277301	−	0.201471i	0.717739	+	0.696312i	$0.245177\pi$
$432$	39.3654	+	39.3654i	0.0911235	+	0.0911235i
$433$	122.080	−	770.785i	0.281941	−	1.78010i	−0.287208	−	0.957868i	$-0.592727\pi$
$433$	122.080	−	770.785i	0.281941	−	1.78010i	0.569149	−	0.822235i	$-0.307273\pi$
$434$	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	0.728826	−	0.684699i	$-0.240066\pi$
$439$	402.125	+	130.658i	0.916002	+	0.297627i	0.187176	+	0.982326i	$0.440066\pi$
$440$	−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	−0.628403	−	0.777888i	$-0.716291\pi$
$443$	66.2222	−	66.2222i	0.149486	−	0.149486i	0.777888	+	0.628403i	$0.216291\pi$
$444$	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	$-0.827865\pi$
$449$		−	462.292i		−	1.02960i	0.857309	−	0.514802i	$-0.172135\pi$
$450$	−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	0.518283	−	0.855209i	$-0.326571\pi$
$457$	−153.975	−	153.975i	−0.336926	−	0.336926i	−0.855209	+	0.518283i	$0.826571\pi$
$458$	−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	−0.992658	−	0.120954i	$-0.961405\pi$
$461$	−54.6221	+	168.109i	−0.118486	+	0.364662i	0.874172	+	0.485616i	$0.161405\pi$
$462$	16.9472	−	33.2608i	0.0366823	−	0.0719930i
$463$	−329.316	−	167.795i	−0.711266	−	0.362408i	0.0606272	−	0.998160i	$-0.480690\pi$
$463$	−329.316	−	167.795i	−0.711266	−	0.362408i	−0.771893	+	0.635752i	$0.780690\pi$
$464$	−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	−0.0187072	−	0.999825i	$-0.505955\pi$
$467$	−161.331	−	25.5523i	−0.345462	−	0.0547158i	−0.326755	+	0.945109i	$0.605955\pi$
$468$	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	−0.931983	−	0.362502i	$-0.881923\pi$
$479$	−143.329	+	197.275i	−0.299225	+	0.411847i	0.632758	+	0.774349i	$0.281923\pi$
$480$	−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	−0.985537	−	0.169460i	$-0.945798\pi$
$487$	−131.079	+	257.258i	−0.269157	+	0.528250i	0.716380	+	0.697710i	$0.245798\pi$
$488$	−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	0.821168	−	0.570687i	$-0.193323\pi$
$491$	−87.6987	−	269.909i	−0.178612	−	0.549712i	−0.999780	+	0.0209748i	$0.993323\pi$
$492$	−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	$-0.931032\pi$
$499$		−	214.548i		−	0.429955i	0.976619	−	0.214978i	$-0.0689678\pi$
$500$	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	0.537609	−	0.843194i	$-0.319327\pi$
$503$	658.662	−	104.322i	1.30947	−	0.207399i	0.771858	+	0.635795i	$0.219327\pi$
$504$	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	−0.264630	−	0.964350i	$-0.585250\pi$
$509$	44.8483	−	14.5721i	0.0881105	−	0.0286288i	0.352741	+	0.935721i	$0.385250\pi$
$510$	−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	0.152501	−	0.988303i	$-0.451267\pi$
$521$	−385.699	−	280.227i	−0.740306	−	0.537864i	−0.892807	+	0.450440i	$0.851267\pi$
$522$	12.6877	+	80.1068i	0.0243059	+	0.153461i
$523$	268.635	+	527.226i	0.513642	+	1.00808i	0.991557	+	0.129673i	$0.0413928\pi$
$523$	268.635	+	527.226i	0.513642	+	1.00808i	−0.477915	+	0.878406i	$0.658607\pi$
$524$			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	−0.975192	−	0.221363i	$-0.928950\pi$
$541$	−171.150	−	526.746i	−0.316359	−	0.973652i	0.658833	−	0.752289i	$-0.271050\pi$
$542$	−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	−0.813076	−	0.582157i	$-0.802209\pi$
$547$	−120.171	−	758.731i	−0.219691	−	1.38708i	0.593385	−	0.804919i	$-0.297791\pi$
$548$	−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	0.899509	−	0.436902i	$-0.143924\pi$
$557$	257.672	+	257.672i	0.462607	+	0.462607i	−0.436902	+	0.899509i	$0.643924\pi$
$558$	−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	−0.0762395	−	0.997090i	$-0.524291\pi$
$563$	−522.303	−	266.127i	−0.927714	−	0.472694i	−0.851475	+	0.524395i	$0.824291\pi$
$564$	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	0.964919	+	0.262547i	$0.0845625\pi$
$569$	521.454	+	717.720i	0.916440	+	1.26137i	−0.0484794	+	0.998824i	$0.515438\pi$
$570$	100.627	−	20.6427i	0.176539	−	0.0362152i
$571$	19.1331	+	13.9010i	0.0335080	+	0.0243450i	0.604413	−	0.796671i	$-0.293408\pi$
$571$	19.1331	+	13.9010i	0.0335080	+	0.0243450i	−0.570905	+	0.821016i	$0.693408\pi$
$572$	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	−0.734509	−	0.678599i	$-0.762587\pi$
$577$	−356.150	+	181.467i	−0.617244	+	0.314501i	0.117265	+	0.993101i	$0.462587\pi$
$578$	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	−0.928284	−	0.371873i	$-0.878716\pi$
$587$	−48.0169	+	94.2386i	−0.0818006	+	0.160543i	0.846483	+	0.532416i	$0.178716\pi$
$588$	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	−0.567661	−	0.823262i	$-0.692152\pi$
$593$	151.572	−	151.572i	0.255601	−	0.255601i	0.823262	+	0.567661i	$0.192152\pi$
$594$	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	$-0.834064\pi$
$599$		−	596.616i		−	0.996019i	0.867171	−	0.498010i	$-0.165936\pi$
$600$	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	0.162702	−	0.986675i	$-0.447979\pi$
$607$	−500.151	−	500.151i	−0.823973	−	0.823973i	−0.986675	+	0.162702i	$0.947979\pi$
$608$	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	−0.256771	−	0.966472i	$-0.582659\pi$
$613$	−729.218	−	371.555i	−1.18959	−	0.606126i	−0.932819	+	0.360346i	$0.882659\pi$
$614$	−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	0.316934	−	0.948448i	$-0.397347\pi$
$617$	200.691	+	31.7863i	0.325269	+	0.0515175i	0.00833533	+	0.999965i	$0.497347\pi$
$618$	−330.310	+	330.310i	−0.534481	+	0.534481i
$619$	−93.7908	−	129.092i	−0.151520	−	0.208549i	0.726509	−	0.687157i	$-0.241142\pi$
$619$	−93.7908	−	129.092i	−0.151520	−	0.208549i	−0.878029	+	0.478608i	$0.841142\pi$
$620$	−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	−0.762747	−	0.646697i	$-0.776150\pi$
$631$	−241.928	+	175.771i	−0.383404	+	0.278559i	0.379343	+	0.925256i	$0.376150\pi$
$632$	−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	−0.998353	−	0.0573624i	$-0.981731\pi$
$641$	−143.831	−	442.666i	−0.224385	−	0.690587i	0.773968	−	0.633225i	$-0.218269\pi$
$642$	99.7560	+	15.7998i	0.155383	+	0.0246103i
$643$	283.673	−	283.673i	0.441171	−	0.441171i	−0.451235	−	0.892405i	$-0.649016\pi$
$643$	283.673	−	283.673i	0.441171	−	0.441171i	0.892405	+	0.451235i	$0.149016\pi$
$644$	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	0.984100	−	0.177616i	$-0.0568384\pi$
$647$	−4.34846	−	27.4551i	−0.00672096	−	0.0424345i	−0.990821	+	0.135181i	$0.956838\pi$
$648$	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	−0.0115430	−	0.999933i	$-0.503674\pi$
$653$	187.068	−	29.6287i	0.286475	−	0.0453732i	0.298018	+	0.954560i	$0.403674\pi$
$654$	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	0.0428860	−	0.999080i	$-0.486345\pi$
$659$	438.120	−	142.354i	0.664826	−	0.216015i	0.621940	+	0.783065i	$0.286345\pi$
$660$	−23.7638	−	6.54883i	−0.0360057	−	0.00992247i
$661$	−185.829	+	571.922i	−0.281133	+	0.865238i	0.706398	+	0.707814i	$0.250319\pi$
$661$	−185.829	+	571.922i	−0.281133	+	0.865238i	−0.987531	+	0.157423i	$0.949681\pi$
$662$	−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	0.984103	+	0.177599i	$0.0568329\pi$
$673$	369.707	+	725.591i	0.549342	+	1.07814i	−0.434761	+	0.900546i	$0.643167\pi$
$674$			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	−0.709544	−	0.704662i	$-0.751099\pi$
$677$	−376.764	+	191.971i	−0.556520	+	0.283561i	0.153024	+	0.988222i	$0.451099\pi$
$678$	−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	0.424483	+	0.905436i	$0.360456\pi$
$683$	−176.910	+	1116.97i	−0.259019	+	1.63538i	−0.683503	+	0.729948i	$0.739544\pi$
$684$	−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	0.998995	+	0.0448176i	$0.0142707\pi$
$691$	150.040	+	461.775i	0.217134	+	0.668270i	−0.781861	+	0.623453i	$0.785729\pi$
$692$	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	−0.232701	−	0.972548i	$-0.574756\pi$
$709$	106.839	−	34.7142i	0.150690	−	0.0489622i	0.383391	+	0.923586i	$0.374756\pi$
$710$	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	0.664469	−	0.747316i	$-0.268658\pi$
$719$	−180.902	−	248.991i	−0.251603	−	0.346301i	−0.916072	+	0.401014i	$0.868658\pi$
$720$	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	−0.0173437	−	0.999850i	$-0.505521\pi$
$727$	568.047	−	289.434i	0.781357	−	0.398121i	0.798701	+	0.601728i	$0.205521\pi$
$728$	−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	−0.567725	−	0.823219i	$-0.692176\pi$
$733$	166.099	−	1048.71i	0.226602	−	1.43071i	0.794327	−	0.607491i	$-0.207824\pi$
$734$	−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	−0.342212	−	0.939623i	$-0.611176\pi$
$739$	−865.638	−	281.263i	−1.17136	−	0.380599i	−0.829152	+	0.559023i	$0.811176\pi$
$740$	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	−0.995093	−	0.0989413i	$-0.968454\pi$
$743$	−665.841	+	665.841i	−0.896152	+	0.896152i	0.0989413	+	0.995093i	$0.468454\pi$
$744$	−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	0.997595	+	0.0693100i	$0.0220798\pi$
$757$	807.647	+	807.647i	1.06691	+	1.06691i	0.0693100	+	0.997595i	$0.477920\pi$
$758$	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	−0.928242	−	0.371976i	$-0.878680\pi$
$761$	31.4777	−	96.8783i	0.0413635	−	0.127304i	0.969606	+	0.244672i	$0.0786803\pi$
$762$	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	−0.955556	−	0.294811i	$-0.904743\pi$
$769$	−723.363	−	995.624i	−0.940655	−	1.29470i	0.0149009	−	0.999889i	$-0.495257\pi$
$770$	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	0.656457	−	0.754363i	$-0.272054\pi$
$773$	−262.581	−	515.345i	−0.339691	−	0.666681i	−0.996149	+	0.0876817i	$0.972054\pi$
$774$		−	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	−0.834528	−	0.550965i	$-0.814260\pi$
$787$	80.0658	−	157.138i	0.101735	−	0.199667i	0.936264	+	0.351298i	$0.114260\pi$
$788$	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	0.880960	+	0.473191i	$0.156898\pi$
$797$	150.905	+	952.777i	0.189341	+	1.19545i	−0.691618	+	0.722263i	$0.743102\pi$
$798$	−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	−0.192337	−	0.981329i	$-0.561607\pi$
$809$	185.155	−	60.1607i	0.228870	−	0.0743642i	0.421207	+	0.906965i	$0.361607\pi$
$810$	−3.49805	−	77.2461i	−0.00431858	−	0.0953655i
$811$	145.480	−	447.743i	0.179384	−	0.552087i	−0.820422	−	0.571758i	$-0.806262\pi$
$811$	145.480	−	447.743i	0.179384	−	0.552087i	0.999807	+	0.0196705i	$0.00626170\pi$
$812$	−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	0.301577	−	0.953442i	$-0.402487\pi$
$821$	−420.358	−	305.408i	−0.512007	−	0.371995i	−0.813585	+	0.581447i	$0.802487\pi$
$822$	53.7103	+	339.113i	0.0653410	+	0.412547i
$823$	−53.4102	−	104.823i	−0.0648969	−	0.127367i	0.856279	−	0.516513i	$-0.172770\pi$
$823$	−53.4102	−	104.823i	−0.0648969	−	0.127367i	−0.921176	+	0.389146i	$0.872770\pi$
$824$		−	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	−0.435813	−	0.900037i	$-0.643539\pi$
$827$	29.9106	−	15.2402i	0.0361676	−	0.0184283i	0.471981	+	0.881609i	$0.343539\pi$
$828$	−88.8627	+	14.0745i	−0.107322	+	0.0169982i
$829$	68.5377	−	94.3340i	0.0826751	−	0.113793i	−0.765676	−	0.643226i	$-0.777596\pi$
$829$	68.5377	−	94.3340i	0.0826751	−	0.113793i	0.848351	+	0.529434i	$0.177596\pi$
$830$	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	0.746626	−	0.665244i	$-0.231672\pi$
$839$	805.137	+	261.605i	0.959639	+	0.311806i	0.213013	+	0.977049i	$0.431672\pi$
$840$	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	−0.108370	−	0.994111i	$-0.534563\pi$
$853$	81.6841	−	12.9375i	0.0957609	−	0.0151670i	0.204131	+	0.978944i	$0.434563\pi$
$854$	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	0.820397	−	0.571795i	$-0.193753\pi$
$857$	213.052	+	213.052i	0.248602	+	0.248602i	−0.571795	+	0.820397i	$0.693753\pi$
$858$	5.33043	−	33.6550i	0.00621262	−	0.0392249i
$859$	452.700	−	147.091i	0.527008	−	0.171235i	−0.0334153	−	0.999442i	$-0.510638\pi$
$859$	452.700	−	147.091i	0.527008	−	0.171235i	0.560423	+	0.828206i	$0.310638\pi$
$860$	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	0.650667	−	0.759363i	$-0.274489\pi$
$863$	361.408	+	184.147i	0.418781	+	0.213380i	−0.231885	+	0.972743i	$0.574489\pi$
$864$	−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	0.289913	−	0.957053i	$-0.406374\pi$
$877$	1082.74	−	551.682i	1.23459	−	0.629056i	0.944679	+	0.327997i	$0.106374\pi$
$878$	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	0.328132	−	0.944632i	$-0.393581\pi$
$881$	1169.91	−	849.986i	1.32793	−	0.964797i	0.999797	−	0.0201646i	$-0.00641903\pi$
$882$	−100.975	−	100.975i	−0.114484	−	0.114484i
$883$	−74.1069	+	467.893i	−0.0839263	+	0.529890i	0.909526	+	0.415646i	$0.136445\pi$
$883$	−74.1069	+	467.893i	−0.0839263	+	0.529890i	−0.993453	+	0.114244i	$0.963555\pi$
$884$	−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	−0.719597	−	0.694392i	$-0.755673\pi$
$887$	235.185	−	461.577i	0.265147	−	0.520380i	0.984744	+	0.174012i	$0.0556732\pi$
$888$	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	0.998013	−	0.0630156i	$-0.0200718\pi$
$907$	848.042	+	848.042i	0.934997	+	0.934997i	−0.0630156	+	0.998013i	$0.520072\pi$
$908$	−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	−0.859097	−	0.511812i	$-0.828974\pi$
$911$	124.591	−	383.451i	0.136763	−	0.420912i	0.995860	+	0.0909001i	$0.0289744\pi$
$912$	−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	0.860372	−	0.509667i	$-0.170232\pi$
$919$	100.888	+	138.860i	0.109780	+	0.151099i	−0.750592	+	0.660766i	$0.770232\pi$
$920$	−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	−0.0648595	−	0.997894i	$-0.520660\pi$
$929$	840.036	−	1156.21i	0.904237	−	1.24458i	0.969097	−	0.246681i	$-0.0793401\pi$
$930$	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	0.141984	+	0.989869i	$0.454652\pi$
$937$	−695.529	+	1365.05i	−0.742293	+	1.45683i	−0.884277	+	0.466963i	$0.845348\pi$
$938$	−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	0.974822	−	0.222984i	$-0.0715798\pi$
$941$	51.8563	+	159.597i	0.0551077	+	0.169604i	−0.919714	+	0.392588i	$0.871580\pi$
$942$	−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	−0.986823	−	0.161803i	$-0.948269\pi$
$947$	−93.0886	−	587.738i	−0.0982984	−	0.620632i	0.888525	−	0.458829i	$-0.151731\pi$
$948$	−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	−0.786266	−	0.617888i	$-0.787989\pi$
$953$	−1279.99	+	202.730i	−1.34311	+	0.212728i	−0.556846	+	0.830616i	$0.687989\pi$
$954$	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	0.211958	−	0.977279i	$-0.432016\pi$
$967$	107.865	+	17.0841i	0.111546	+	0.0176671i	−0.100412	+	0.994946i	$0.532016\pi$
$968$	−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	0.395725	−	0.918369i	$-0.370493\pi$
$971$	−345.103	−	250.732i	−0.355410	−	0.258220i	−0.751135	+	0.660149i	$0.770493\pi$
$972$	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	−0.855433	−	0.517914i	$-0.826709\pi$
$977$	−917.640	+	467.561i	−0.939242	+	0.478568i	−0.0838096	+	0.996482i	$0.526709\pi$
$978$	−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	−0.843929	−	0.536455i	$-0.819763\pi$
$983$	122.353	−	772.505i	0.124469	−	0.785865i	0.968398	−	0.249410i	$-0.0802367\pi$
$984$	−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	−0.983634	−	0.180178i	$-0.942332\pi$
$991$	−291.120	−	895.974i	−0.293764	−	0.904111i	0.689870	−	0.723933i	$-0.257668\pi$
$992$	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	0.968963	−	0.247205i	$-0.0795121\pi$
$997$	−28.8792	−	182.336i	−0.0289661	−	0.182885i	−0.997929	+	0.0643202i	$0.979512\pi$
$998$	−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.22.8	✓	80
3.2	odd	2		225.3.r.b.172.3		80
5.2	odd	4		375.3.k.b.118.8		80
5.3	odd	4		375.3.k.c.118.3		80
5.4	even	2		375.3.k.a.7.3		80
25.6	even	5		375.3.k.c.232.3		80
25.8	odd	20	inner	75.3.k.a.58.8	yes	80
25.17	odd	20		375.3.k.a.268.3		80
25.19	even	10		375.3.k.b.232.8		80
75.8	even	20		225.3.r.b.208.3		80

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
75.3.k.a.22.8	✓	80	1.1	even	1	trivial
75.3.k.a.58.8	yes	80	25.8	odd	20	inner
225.3.r.b.172.3		80	3.2	odd	2
225.3.r.b.208.3		80	75.8	even	20
375.3.k.a.7.3		80	5.4	even	2
375.3.k.a.268.3		80	25.17	odd	20
375.3.k.b.118.8		80	5.2	odd	4
375.3.k.b.232.8		80	25.19	even	10
375.3.k.c.118.3		80	5.3	odd	4
375.3.k.c.232.3		80	25.6	even	5

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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