LMFDB - Embedded newform 731.2.k.a.188.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [731,2,Mod(35,731)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(731, base_ring=CyclotomicField(14))

chi = DirichletCharacter(H, H._module([0, 6]))

N = Newforms(chi, 2, names="a")

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

chi := DirichletCharacter("731.35");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 731 = 17 \cdot 43 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	731.k (of order $7$, degree $6$, 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:	$5.83706438776$
Analytic rank:	$0$
Dimension:	$180$
Relative dimension:	$30$ over $\Q(\zeta_{7})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label			188.4
Character	$\chi$	$=$	731.188
Dual form			731.2.k.a.35.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.534521 - 2.34189i) q^{2} +(0.544712 - 2.38654i) q^{3} +(-3.39680 + 1.63581i) q^{4} +(-2.43138 - 3.04885i) q^{5} -5.88018 q^{6} +1.85392 q^{7} +(2.65117 + 3.32446i) q^{8} +(-2.69596 - 1.29830i) q^{9} +O(q^{10})$	\(q+(-0.534521 - 2.34189i) q^{2} +(0.544712 - 2.38654i) q^{3} +(-3.39680 + 1.63581i) q^{4} +(-2.43138 - 3.04885i) q^{5} -5.88018 q^{6} +1.85392 q^{7} +(2.65117 + 3.32446i) q^{8} +(-2.69596 - 1.29830i) q^{9} +(-5.84046 + 7.32370i) q^{10} +(0.554940 + 0.267245i) q^{11} +(2.05366 + 8.99766i) q^{12} +(1.74808 + 2.19202i) q^{13} +(-0.990961 - 4.34168i) q^{14} +(-8.60061 + 4.14183i) q^{15} +(1.66710 - 2.09048i) q^{16} +(0.623490 - 0.781831i) q^{17} +(-1.59944 + 7.00760i) q^{18} +(-6.60991 + 3.18317i) q^{19} +(13.2463 + 6.37907i) q^{20} +(1.00985 - 4.42446i) q^{21} +(0.329231 - 1.44246i) q^{22} +(-4.07500 - 1.96241i) q^{23} +(9.37809 - 4.51625i) q^{24} +(-2.27129 + 9.95119i) q^{25} +(4.19910 - 5.26550i) q^{26} +(0.0117758 - 0.0147664i) q^{27} +(-6.29741 + 3.03267i) q^{28} +(-1.53980 - 6.74629i) q^{29} +(14.2969 + 17.9278i) q^{30} +(-0.661644 - 2.89885i) q^{31} +(1.87532 + 0.903109i) q^{32} +(0.940074 - 1.17881i) q^{33} +(-2.16423 - 1.04224i) q^{34} +(-4.50758 - 5.65233i) q^{35} +11.2814 q^{36} +10.1854 q^{37} +(10.9878 + 13.7782i) q^{38} +(6.18355 - 2.97784i) q^{39} +(3.68980 - 16.1661i) q^{40} +(-2.03200 - 8.90276i) q^{41} -10.9014 q^{42} +(4.90289 - 4.35450i) q^{43} -2.32219 q^{44} +(2.59655 + 11.3762i) q^{45} +(-2.41759 + 10.5921i) q^{46} +(1.64014 - 0.789848i) q^{47} +(-4.08093 - 5.11732i) q^{48} -3.56298 q^{49} +24.5186 q^{50} +(-1.52625 - 1.91386i) q^{51} +(-9.52363 - 4.58634i) q^{52} +(-6.17834 + 7.74739i) q^{53} +(-0.0408758 - 0.0196848i) q^{54} +(-0.534479 - 2.34170i) q^{55} +(4.91506 + 6.16329i) q^{56} +(3.99625 + 17.5087i) q^{57} +(-14.9760 + 7.21207i) q^{58} +(0.949368 - 1.19047i) q^{59} +(22.4393 - 28.1380i) q^{60} +(-0.568194 + 2.48942i) q^{61} +(-6.43514 + 3.09900i) q^{62} +(-4.99809 - 2.40695i) q^{63} +(2.30255 - 10.0881i) q^{64} +(2.43291 - 10.6593i) q^{65} +(-3.26315 - 1.57145i) q^{66} +(4.32115 - 2.08096i) q^{67} +(-0.838941 + 3.67564i) q^{68} +(-6.90308 + 8.65619i) q^{69} +(-10.8277 + 13.5776i) q^{70} +(-11.5321 + 5.55356i) q^{71} +(-2.83128 - 12.4046i) q^{72} +(-3.47105 - 4.35256i) q^{73} +(-5.44433 - 23.8532i) q^{74} +(22.5117 + 10.8411i) q^{75} +(17.2455 - 21.6252i) q^{76} +(1.02882 + 0.495451i) q^{77} +(-10.2790 - 12.8895i) q^{78} +6.85642 q^{79} -10.4269 q^{80} +(-5.62580 - 7.05453i) q^{81} +(-19.7631 + 9.51743i) q^{82} +(0.353453 - 1.54858i) q^{83} +(3.80732 + 16.6809i) q^{84} -3.89963 q^{85} +(-12.8185 - 9.15446i) q^{86} -16.9390 q^{87} +(0.582795 + 2.55339i) q^{88} +(-2.31283 + 10.1332i) q^{89} +(25.2540 - 12.1617i) q^{90} +(3.24080 + 4.06384i) q^{91} +17.0521 q^{92} -7.27864 q^{93} +(-2.72643 - 3.41883i) q^{94} +(25.7762 + 12.4132i) q^{95} +(3.17682 - 3.98360i) q^{96} +(-2.88114 - 1.38748i) q^{97} +(1.90449 + 8.34410i) q^{98} +(-1.14913 - 1.44096i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) $ 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{4}{7}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	−0.534521	−	2.34189i	−0.377964	−	1.65597i	−0.703693	−	0.710504i	$-0.748467\pi$
$2$	−0.534521	−	2.34189i	−0.377964	−	1.65597i	0.325729	−	0.945463i	$-0.394390\pi$
$3$	0.544712	−	2.38654i	0.314490	−	1.37787i	−0.532576	−	0.846382i	$-0.678776\pi$
$3$	0.544712	−	2.38654i	0.314490	−	1.37787i	0.847066	−	0.531488i	$-0.178367\pi$
$4$	−3.39680	+	1.63581i	−1.69840	+	0.817907i
$5$	−2.43138	−	3.04885i	−1.08735	−	1.36349i	−0.926407	−	0.376524i	$-0.877119\pi$
$5$	−2.43138	−	3.04885i	−1.08735	−	1.36349i	−0.160938	−	0.986964i	$-0.551452\pi$
$6$	−5.88018			−2.40057
$7$	1.85392			0.700716			0.350358	−	0.936616i	$-0.386060\pi$
$7$	1.85392			0.700716			0.350358	+	0.936616i	$0.386060\pi$
$8$	2.65117	+	3.32446i	0.937331	+	1.17538i
$9$	−2.69596	−	1.29830i	−0.898652	−	0.432768i
$10$	−5.84046	+	7.32370i	−1.84691	+	2.31596i
$11$	0.554940	+	0.267245i	0.167321	+	0.0805774i	0.515670	−	0.856788i	$-0.327543\pi$
$11$	0.554940	+	0.267245i	0.167321	+	0.0805774i	−0.348349	+	0.937365i	$0.613258\pi$
$12$	2.05366	+	8.99766i	0.592839	+	2.59740i
$13$	1.74808	+	2.19202i	0.484830	+	0.607958i	0.962733	−	0.270455i	$-0.0871741\pi$
$13$	1.74808	+	2.19202i	0.484830	+	0.607958i	−0.477902	+	0.878413i	$0.658603\pi$
$14$	−0.990961	−	4.34168i	−0.264845	−	1.16036i
$15$	−8.60061	+	4.14183i	−2.22067	+	1.06942i
$16$	1.66710	−	2.09048i	0.416776	−	0.522621i
$17$	0.623490	−	0.781831i	0.151218	−	0.189622i
$17$	0.623490	−	0.781831i	0.151218	−	0.189622i
$18$	−1.59944	+	7.00760i	−0.376992	+	1.65171i
$19$	−6.60991	+	3.18317i	−1.51642	+	0.730268i	−0.992585	−	0.121552i	$-0.961213\pi$
$19$	−6.60991	+	3.18317i	−1.51642	+	0.730268i	−0.523833	+	0.851821i	$0.675498\pi$
$20$	13.2463	+	6.37907i	2.96196	+	1.42640i
$21$	1.00985	−	4.42446i	0.220368	−	0.965496i
$22$	0.329231	−	1.44246i	0.0701924	−	0.307533i
$23$	−4.07500	−	1.96241i	−0.849695	−	0.409192i	−0.0422309	−	0.999108i	$-0.513446\pi$
$23$	−4.07500	−	1.96241i	−0.849695	−	0.409192i	−0.807465	+	0.589916i	$0.799161\pi$
$24$	9.37809	−	4.51625i	1.91430	−	0.921876i
$25$	−2.27129	+	9.95119i	−0.454259	+	1.99024i
$26$	4.19910	−	5.26550i	0.823510	−	1.03265i
$27$	0.0117758	−	0.0147664i	0.00226626	−	0.00284180i
$28$	−6.29741	+	3.03267i	−1.19010	+	0.573121i
$29$	−1.53980	−	6.74629i	−0.285933	−	1.25275i	−0.890051	−	0.455860i	$-0.849332\pi$
$29$	−1.53980	−	6.74629i	−0.285933	−	1.25275i	0.604118	−	0.796895i	$-0.293525\pi$
$30$	14.2969	+	17.9278i	2.61025	+	3.27315i
$31$	−0.661644	−	2.89885i	−0.118835	−	0.520650i	−0.998947	−	0.0458833i	$-0.985390\pi$
$31$	−0.661644	−	2.89885i	−0.118835	−	0.520650i	0.880112	−	0.474766i	$-0.157467\pi$
$32$	1.87532	+	0.903109i	0.331514	+	0.159649i
$33$	0.940074	−	1.17881i	0.163646	−	0.205205i
$34$	−2.16423	−	1.04224i	−0.371163	−	0.178743i
$35$	−4.50758	−	5.65233i	−0.761921	−	0.955418i
$36$	11.2814			1.88024
$37$	10.1854			1.67448			0.837238	−	0.546839i	$-0.184169\pi$
$37$	10.1854			1.67448			0.837238	+	0.546839i	$0.184169\pi$
$38$	10.9878	+	13.7782i	1.78245	+	2.23512i
$39$	6.18355	−	2.97784i	0.990161	−	0.476836i
$40$	3.68980	−	16.1661i	0.583408	−	2.55608i
$41$	−2.03200	−	8.90276i	−0.317345	−	1.39038i	−0.842190	−	0.539180i	$-0.818734\pi$
$41$	−2.03200	−	8.90276i	−0.317345	−	1.39038i	0.524846	−	0.851197i	$-0.324123\pi$
$42$	−10.9014			−1.68212
$43$	4.90289	−	4.35450i	0.747683	−	0.664055i
$43$	4.90289	−	4.35450i	0.747683	−	0.664055i
$44$	−2.32219			−0.350083
$45$	2.59655	+	11.3762i	0.387071	+	1.69587i
$46$	−2.41759	+	10.5921i	−0.356454	+	1.56173i
$47$	1.64014	−	0.789848i	0.239239	−	0.115211i	−0.310423	−	0.950598i	$-0.600471\pi$
$47$	1.64014	−	0.789848i	0.239239	−	0.115211i	0.549662	+	0.835387i	$0.314757\pi$
$48$	−4.08093	−	5.11732i	−0.589031	−	0.738622i
$49$	−3.56298			−0.508997
$50$	24.5186			3.46746
$51$	−1.52625	−	1.91386i	−0.213718	−	0.267994i
$52$	−9.52363	−	4.58634i	−1.32069	−	0.636011i
$53$	−6.17834	+	7.74739i	−0.848660	+	1.06419i	0.148503	+	0.988912i	$0.452555\pi$
$53$	−6.17834	+	7.74739i	−0.848660	+	1.06419i	−0.997163	+	0.0752742i	$0.976017\pi$
$54$	−0.0408758	−	0.0196848i	−0.00556250	−	0.00267876i
$55$	−0.534479	−	2.34170i	−0.0720691	−	0.315755i
$56$	4.91506	+	6.16329i	0.656803	+	0.823605i
$57$	3.99625	+	17.5087i	0.529317	+	2.31909i
$58$	−14.9760	+	7.21207i	−1.96645	+	0.946992i
$59$	0.949368	−	1.19047i	0.123597	−	0.154986i	−0.716183	−	0.697913i	$-0.754112\pi$
$59$	0.949368	−	1.19047i	0.123597	−	0.154986i	0.839780	+	0.542927i	$0.182684\pi$
$60$	22.4393	−	28.1380i	2.89690	−	3.63260i
$61$	−0.568194	+	2.48942i	−0.0727498	+	0.318738i	−0.998189	−	0.0601589i	$-0.980839\pi$
$61$	−0.568194	+	2.48942i	−0.0727498	+	0.318738i	0.925439	+	0.378897i	$0.123696\pi$
$62$	−6.43514	+	3.09900i	−0.817263	+	0.393573i
$63$	−4.99809	−	2.40695i	−0.629700	−	0.303248i
$64$	2.30255	−	10.0881i	0.287818	−	1.26101i
$65$	2.43291	−	10.6593i	0.301765	−	1.32212i
$66$	−3.26315	−	1.57145i	−0.401665	−	0.193432i
$67$	4.32115	−	2.08096i	0.527912	−	0.254229i	−0.150890	−	0.988551i	$-0.548214\pi$
$67$	4.32115	−	2.08096i	0.527912	−	0.254229i	0.678802	+	0.734321i	$0.262499\pi$
$68$	−0.838941	+	3.67564i	−0.101737	+	0.445737i
$69$	−6.90308	+	8.65619i	−0.831033	+	1.04208i
$70$	−10.8277	+	13.5776i	−1.29416	+	1.62283i
$71$	−11.5321	+	5.55356i	−1.36861	+	0.659086i	−0.966538	−	0.256524i	$-0.917423\pi$
$71$	−11.5321	+	5.55356i	−1.36861	+	0.659086i	−0.402068	+	0.915610i	$0.631709\pi$
$72$	−2.83128	−	12.4046i	−0.333669	−	1.46190i
$73$	−3.47105	−	4.35256i	−0.406255	−	0.509428i	0.536048	−	0.844187i	$-0.319916\pi$
$73$	−3.47105	−	4.35256i	−0.406255	−	0.509428i	−0.942304	+	0.334759i	$0.891345\pi$
$74$	−5.44433	−	23.8532i	−0.632891	−	2.77288i
$75$	22.5117	+	10.8411i	2.59943	+	1.25182i
$76$	17.2455	−	21.6252i	1.97820	−	2.48058i
$77$	1.02882	+	0.495451i	0.117244	+	0.0564619i
$78$	−10.2790	−	12.8895i	−1.16387	−	1.45945i
$79$	6.85642			0.771408			0.385704	−	0.922623i	$-0.373959\pi$
$79$	6.85642			0.771408			0.385704	+	0.922623i	$0.373959\pi$
$80$	−10.4269			−1.16577
$81$	−5.62580	−	7.05453i	−0.625089	−	0.783837i
$82$	−19.7631	+	9.51743i	−2.18247	+	1.05102i
$83$	0.353453	−	1.54858i	0.0387966	−	0.169979i	−0.951818	−	0.306663i	$-0.900787\pi$
$83$	0.353453	−	1.54858i	0.0387966	−	0.169979i	0.990615	+	0.136684i	$0.0436446\pi$
$84$	3.80732	+	16.6809i	0.415412	+	1.82004i
$85$	−3.89963			−0.422974
$86$	−12.8185	−	9.15446i	−1.38225	−	0.987150i
$87$	−16.9390			−1.81606
$88$	0.582795	+	2.55339i	0.0621261	+	0.272192i
$89$	−2.31283	+	10.1332i	−0.245159	+	1.07411i	0.691088	+	0.722770i	$0.257132\pi$
$89$	−2.31283	+	10.1332i	−0.245159	+	1.07411i	−0.936247	+	0.351342i	$0.885726\pi$
$90$	25.2540	−	12.1617i	2.66200	−	1.28195i
$91$	3.24080	+	4.06384i	0.339729	+	0.426006i
$92$	17.0521			1.77780
$93$	−7.27864			−0.754759
$94$	−2.72643	−	3.41883i	−0.281209	−	0.352626i
$95$	25.7762	+	12.4132i	2.64458	+	1.27356i
$96$	3.17682	−	3.98360i	0.324233	−	0.406575i
$97$	−2.88114	−	1.38748i	−0.292535	−	0.140878i	0.281860	−	0.959455i	$-0.409049\pi$
$97$	−2.88114	−	1.38748i	−0.292535	−	0.140878i	−0.574396	+	0.818578i	$0.694763\pi$
$98$	1.90449	+	8.34410i	0.192382	+	0.842882i
$99$	−1.14913	−	1.44096i	−0.115492	−	0.144822i
$100$	−8.56316	−	37.5176i	−0.856316	−	3.75176i
$101$	−1.63021	+	0.785066i	−0.162212	+	0.0781169i	−0.513228	−	0.858252i	$-0.671550\pi$
$101$	−1.63021	+	0.785066i	−0.162212	+	0.0781169i	0.351016	+	0.936369i	$0.385836\pi$
$102$	−3.66623	+	4.59731i	−0.363011	+	0.455201i
$103$	−2.09168	+	2.62288i	−0.206099	+	0.258440i	−0.874129	−	0.485695i	$-0.838567\pi$
$103$	−2.09168	+	2.62288i	−0.206099	+	0.258440i	0.668029	+	0.744135i	$0.267138\pi$
$104$	−2.65284	+	11.6229i	−0.260133	+	1.13972i
$105$	−15.9449	+	7.67864i	−1.55606	+	0.749358i
$106$	21.4460	+	10.3279i	2.08302	+	1.00313i
$107$	1.48634	−	6.51208i	0.143690	−	0.629547i	−0.850870	−	0.525377i	$-0.823924\pi$
$107$	1.48634	−	6.51208i	0.143690	−	0.629547i	0.994560	−	0.104170i	$-0.0332185\pi$
$108$	−0.0158451	+	0.0694218i	−0.00152469	+	0.00668011i
$109$	−4.65431	−	2.24140i	−0.445802	−	0.214687i	0.197494	−	0.980304i	$-0.436720\pi$
$109$	−4.65431	−	2.24140i	−0.445802	−	0.214687i	−0.643297	+	0.765617i	$0.722434\pi$
$110$	−5.19833	+	2.50338i	−0.495641	+	0.238688i
$111$	5.54813	−	24.3079i	0.526605	−	2.30721i
$112$	3.09068	−	3.87559i	0.292042	−	0.366209i
$113$	9.53145	−	11.9521i	0.896643	−	1.12435i	−0.0950171	−	0.995476i	$-0.530291\pi$
$113$	9.53145	−	11.9521i	0.896643	−	1.12435i	0.991660	−	0.128879i	$-0.0411380\pi$
$114$	38.8675	−	18.7176i	3.64027	−	1.75306i
$115$	3.92475	+	17.1954i	0.365984	+	1.60348i
$116$	16.2661	+	20.3970i	1.51027	+	1.89381i
$117$	−1.86683	−	8.17914i	−0.172589	−	0.756162i
$118$	−3.29541	−	1.58699i	−0.303367	−	0.146094i
$119$	1.15590	−	1.44945i	0.105961	−	0.132871i
$120$	−36.5711	−	17.6117i	−3.33847	−	1.60772i
$121$	−6.62185	−	8.30354i	−0.601986	−	0.754867i
$122$	6.13367			0.555316
$123$	−22.3536			−2.01556
$124$	6.98946	+	8.76451i	0.627672	+	0.787076i
$125$	18.2948	−	8.81034i	1.63634	−	0.788020i
$126$	−2.96524	+	12.9915i	−0.264164	+	1.15738i
$127$	−0.784615	−	3.43762i	−0.0696233	−	0.305040i	0.928112	−	0.372301i	$-0.121431\pi$
$127$	−0.784615	−	3.43762i	−0.0696233	−	0.305040i	−0.997735	+	0.0672612i	$0.978574\pi$
$128$	−20.6931			−1.82903
$129$	−7.72153	−	14.0729i	−0.679843	−	1.23905i
$130$	−26.2633			−2.30345
$131$	4.65370	+	20.3892i	0.406596	+	1.78141i	0.599690	+	0.800233i	$0.295291\pi$
$131$	4.65370	+	20.3892i	0.406596	+	1.78141i	−0.193094	+	0.981180i	$0.561852\pi$
$132$	−1.26492	+	5.54199i	−0.110097	+	0.482368i
$133$	−12.2543	+	5.90134i	−1.06258	+	0.511711i
$134$	−7.18312	−	9.00735i	−0.620527	−	0.778116i
$135$	−0.0736522			−0.00633897
$136$	4.25215			0.364619
$137$	5.84450	+	7.32877i	0.499330	+	0.626139i	0.966078	−	0.258251i	$-0.0831461\pi$
$137$	5.84450	+	7.32877i	0.499330	+	0.626139i	−0.466748	+	0.884390i	$0.654575\pi$
$138$	23.9617	+	11.5393i	2.03976	+	0.982294i
$139$	2.05757	−	2.58011i	0.174521	−	0.218842i	−0.686876	−	0.726774i	$-0.741019\pi$
$139$	2.05757	−	2.58011i	0.174521	−	0.218842i	0.861397	+	0.507932i	$0.169590\pi$
$140$	24.5575	+	11.8263i	2.07549	+	0.999504i
$141$	−0.991602	−	4.34449i	−0.0835079	−	0.365872i
$142$	19.1700	+	24.0384i	1.60871	+	2.01726i
$143$	0.384273	+	1.68361i	0.0321345	+	0.140790i
$144$	−7.20852	+	3.47144i	−0.600710	+	0.289287i
$145$	−16.8246	+	21.0974i	−1.39721	+	1.75204i
$146$	−8.33786	+	10.4553i	−0.690046	+	0.865291i
$147$	−1.94080	+	8.50318i	−0.160074	+	0.701331i
$148$	−34.5979	+	16.6615i	−2.84393	+	1.36957i
$149$	20.1904	+	9.72321i	1.65407	+	0.796556i	0.999166	+	0.0408405i	$0.0130035\pi$
$149$	20.1904	+	9.72321i	1.65407	+	0.796556i	0.654900	+	0.755716i	$0.272711\pi$
$150$	13.3556	−	58.5147i	1.09048	−	4.77771i
$151$	−1.44856	+	6.34655i	−0.117882	+	0.516475i	0.881164	+	0.472810i	$0.156760\pi$
$151$	−1.44856	+	6.34655i	−0.117882	+	0.516475i	−0.999046	+	0.0436647i	$0.986097\pi$
$152$	−28.1063	−	13.5353i	−2.27973	−	1.09786i
$153$	−2.69596	+	1.29830i	−0.217955	+	0.104962i
$154$	0.610369	−	2.67420i	0.0491850	−	0.215493i
$155$	−7.22947	+	9.06547i	−0.580685	+	0.728156i
$156$	−16.1331	+	20.2303i	−1.29168	+	1.61972i
$157$	3.52639	−	1.69822i	0.281437	−	0.135533i	−0.287841	−	0.957678i	$-0.592937\pi$
$157$	3.52639	−	1.69822i	0.281437	−	0.135533i	0.569277	+	0.822146i	$0.307223\pi$
$158$	−3.66491	−	16.0570i	−0.291564	−	1.27743i
$159$	15.1240	+	18.9650i	1.19941	+	1.50402i
$160$	−1.80618	−	7.91339i	−0.142791	−	0.625608i
$161$	−7.55472	−	3.63816i	−0.595395	−	0.286727i
$162$	−13.5138	+	16.9458i	−1.06175	+	1.33139i
$163$	−7.31302	−	3.52176i	−0.572800	−	0.275846i	0.124979	−	0.992159i	$-0.460114\pi$
$163$	−7.31302	−	3.52176i	−0.572800	−	0.275846i	−0.697778	+	0.716314i	$0.745828\pi$
$164$	21.4656	+	26.9170i	1.67618	+	2.10186i
$165$	−5.87971			−0.457735
$166$	−3.81554			−0.296143
$167$	−14.1651	−	17.7625i	−1.09613	−	1.37450i	−0.920818	−	0.389992i	$-0.872478\pi$
$167$	−14.1651	−	17.7625i	−1.09613	−	1.37450i	−0.175313	−	0.984513i	$-0.556094\pi$
$168$	17.3862	−	8.37277i	1.34138	−	0.645974i
$169$	1.14359	−	5.01039i	0.0879684	−	0.385415i
$170$	2.08443	+	9.13250i	0.159869	+	0.700431i
$171$	21.9527			1.67877
$172$	−9.53099	+	22.8116i	−0.726731	+	1.73937i
$173$	−11.7939			−0.896677			−0.448339	−	0.893864i	$-0.647984\pi$
$173$	−11.7939			−0.896677			−0.448339	+	0.893864i	$0.647984\pi$
$174$	9.05428	+	39.6694i	0.686403	+	3.00733i
$175$	−4.21080	+	18.4487i	−0.318306	+	1.39459i
$176$	1.48381	−	0.714567i	0.111847	−	0.0538625i
$177$	−2.32397	−	2.91417i	−0.174680	−	0.219042i
$178$	24.9670			1.87136
$179$	12.7963			0.956441			0.478220	−	0.878240i	$-0.341282\pi$
$179$	12.7963			0.956441			0.478220	+	0.878240i	$0.341282\pi$
$180$	−27.4294	−	34.3954i	−2.04447	−	2.56368i
$181$	2.04425	+	0.984460i	0.151948	+	0.0731743i	0.508312	−	0.861173i	$-0.330270\pi$
$181$	2.04425	+	0.984460i	0.151948	+	0.0731743i	−0.356364	+	0.934347i	$0.615984\pi$
$182$	7.78479	−	9.76182i	0.577047	−	0.723594i
$183$	5.63160	+	2.71204i	0.416300	+	0.200479i
$184$	−4.27954	−	18.7499i	−0.315492	−	1.38226i
$185$	−24.7646	−	31.0539i	−1.82073	−	2.28313i
$186$	3.89059	+	17.0458i	0.285272	+	1.24986i
$187$	0.554940	−	0.267245i	0.0405812	−	0.0195429i
$188$	−4.27918	+	5.36592i	−0.312091	+	0.391350i
$189$	0.0218315	−	0.0273758i	0.00158801	−	0.00199130i
$190$	15.2924	−	67.0002i	1.10942	−	4.86070i
$191$	2.48374	−	1.19611i	0.179717	−	0.0865472i	−0.341862	−	0.939750i	$-0.611057\pi$
$191$	2.48374	−	1.19611i	0.179717	−	0.0865472i	0.521579	+	0.853203i	$0.325343\pi$
$192$	−22.8215	−	10.9902i	−1.64700	−	0.793152i
$193$	−4.38009	+	19.1904i	−0.315286	+	1.38136i	0.530433	+	0.847727i	$0.322030\pi$
$193$	−4.38009	+	19.1904i	−0.315286	+	1.38136i	−0.845718	+	0.533630i	$0.820828\pi$
$194$	−1.70930	+	7.48895i	−0.122721	+	0.537675i
$195$	−24.1136	−	11.6125i	−1.72681	−	0.831587i
$196$	12.1027	−	5.82837i	0.864481	−	0.416312i
$197$	2.37372	−	10.4000i	0.169121	−	0.740967i	−0.817230	−	0.576311i	$-0.804492\pi$
$197$	2.37372	−	10.4000i	0.169121	−	0.740967i	0.986351	−	0.164655i	$-0.0526512\pi$
$198$	−2.76034	+	3.46136i	−0.196169	+	0.245988i
$199$	12.2284	−	15.3339i	0.866845	−	1.08699i	−0.128604	−	0.991696i	$-0.541050\pi$
$199$	12.2284	−	15.3339i	0.866845	−	1.08699i	0.995449	−	0.0952934i	$-0.0303789\pi$
$200$	−39.1040	+	18.8315i	−2.76507	+	1.33159i
$201$	−2.61250	−	11.4461i	−0.184272	−	0.807347i
$202$	2.70992	+	3.39813i	0.190669	+	0.239092i
$203$	−2.85466	−	12.5071i	−0.200358	−	0.877826i
$204$	8.31508	+	4.00433i	0.582172	+	0.280359i
$205$	−22.2026	+	27.8412i	−1.55070	+	1.94452i
$206$	7.26055	+	3.49650i	0.505867	+	0.243613i
$207$	8.43820	+	10.5812i	0.586495	+	0.735442i
$208$	7.49662			0.519797
$209$	−4.51879			−0.312571
$210$	26.5054	+	33.2367i	1.82905	+	2.29355i
$211$	2.12013	−	1.02100i	0.145956	−	0.0702886i	−0.359480	−	0.933153i	$-0.617046\pi$
$211$	2.12013	−	1.02100i	0.145956	−	0.0702886i	0.505436	+	0.862864i	$0.331332\pi$
$212$	8.31331	−	36.4230i	0.570960	−	2.50154i
$213$	6.97212	+	30.5469i	0.477722	+	2.09304i
$214$	−16.0451			−1.09682
$215$	−25.1970	−	4.36074i	−1.71842	−	0.297400i
$216$	0.0803103			0.00546442
$217$	−1.22664	−	5.37425i	−0.0832695	−	0.364828i
$218$	−2.76128	+	12.0980i	−0.187018	+	0.819378i
$219$	−12.2783	+	5.91290i	−0.829689	+	0.399557i
$220$	5.64611	+	7.08000i	0.380661	+	0.477333i
$221$	2.80370			0.188598
$222$	−59.8922			−4.01970
$223$	−6.72627	−	8.43448i	−0.450425	−	0.564814i	0.503833	−	0.863801i	$-0.331923\pi$
$223$	−6.72627	−	8.43448i	−0.450425	−	0.564814i	−0.954257	+	0.298987i	$0.903351\pi$
$224$	3.47670	+	1.67429i	0.232297	+	0.111868i
$225$	19.0430	−	23.8791i	1.26953	−	1.59194i
$226$	−33.0852	−	15.9330i	−2.20079	−	1.05985i
$227$	−3.26585	−	14.3086i	−0.216762	−	0.949696i	−0.959852	−	0.280505i	$-0.909498\pi$
$227$	−3.26585	−	14.3086i	−0.216762	−	0.949696i	0.743090	−	0.669191i	$-0.233359\pi$
$228$	−42.2155	−	52.9366i	−2.79579	−	3.50581i
$229$	−2.30492	−	10.0985i	−0.152313	−	0.667328i	−0.992209	−	0.124581i	$-0.960241\pi$
$229$	−2.30492	−	10.0985i	−0.152313	−	0.667328i	0.839896	−	0.542747i	$-0.182616\pi$
$230$	38.1720	−	18.3827i	2.51699	−	1.21212i
$231$	1.74282	−	2.18543i	0.114669	−	0.143791i
$232$	18.3455	−	23.0046i	1.20444	−	1.51032i
$233$	2.23237	−	9.78065i	0.146247	−	0.640752i	−0.847661	−	0.530539i	$-0.821990\pi$
$233$	2.23237	−	9.78065i	0.146247	−	0.640752i	0.993908	−	0.110213i	$-0.0351533\pi$
$234$	−18.1568	+	8.74385i	−1.18695	+	0.571603i
$235$	−6.39592	−	3.08011i	−0.417224	−	0.200925i
$236$	−1.27743	+	5.59678i	−0.0831536	+	0.364320i
$237$	3.73478	−	16.3631i	0.242600	−	1.06290i
$238$	−4.01232	−	1.93223i	−0.260080	−	0.125248i
$239$	−16.7199	+	8.05189i	−1.08152	+	0.520834i	−0.887803	−	0.460223i	$-0.847769\pi$
$239$	−16.7199	+	8.05189i	−1.08152	+	0.520834i	−0.193719	+	0.981057i	$0.562055\pi$
$240$	−5.67968	+	24.8843i	−0.366622	+	1.60627i
$241$	11.5688	−	14.5068i	0.745211	−	0.934465i	−0.254255	−	0.967137i	$-0.581830\pi$
$241$	11.5688	−	14.5068i	0.745211	−	0.934465i	0.999466	+	0.0326724i	$0.0104018\pi$
$242$	−15.9065	+	19.9461i	−1.02251	+	1.28218i
$243$	−19.8493	+	9.55893i	−1.27333	+	0.613206i
$244$	−2.14219	−	9.38553i	−0.137139	−	0.600847i
$245$	8.66294	+	10.8630i	0.553455	+	0.694011i
$246$	11.9485	+	52.3498i	0.761809	+	3.33770i
$247$	−18.5322	−	8.92466i	−1.17918	−	0.567862i
$248$	7.88300	−	9.88497i	0.500571	−	0.627696i
$249$	−3.50322	−	1.68706i	−0.222008	−	0.106913i
$250$	−30.4118	−	38.1352i	−1.92341	−	2.41188i
$251$	5.49184			0.346642			0.173321	−	0.984865i	$-0.444550\pi$
$251$	5.49184			0.346642			0.173321	+	0.984865i	$0.444550\pi$
$252$	20.9149			1.31751
$253$	−1.73693	−	2.17804i	−0.109200	−	0.136933i
$254$	−7.63114	+	3.67497i	−0.478821	+	0.230588i
$255$	−2.12417	+	9.30662i	−0.133021	+	0.582803i
$256$	6.45582	+	28.2848i	0.403489	+	1.76780i
$257$	3.98277			0.248438			0.124219	−	0.992255i	$-0.460357\pi$
$257$	3.98277			0.248438			0.124219	+	0.992255i	$0.460357\pi$
$258$	−28.8299	+	25.6052i	−1.79487	+	1.59411i
$259$	18.8830			1.17333
$260$	9.17248	+	40.1873i	0.568853	+	2.49231i
$261$	−4.60751	+	20.1868i	−0.285198	+	1.24953i
$262$	45.2618	−	21.7969i	2.79628	−	1.34662i
$263$	7.78739	+	9.76508i	0.480191	+	0.602141i	0.961634	−	0.274337i	$-0.0884584\pi$
$263$	7.78739	+	9.76508i	0.480191	+	0.602141i	−0.481443	+	0.876478i	$0.659887\pi$
$264$	6.41122			0.394584
$265$	38.6425			2.37379
$266$	20.3705	+	25.5437i	1.24899	+	1.56619i
$267$	22.9234	+	11.0393i	1.40289	+	0.675595i
$268$	−11.2740	+	14.1372i	−0.688671	+	0.863567i
$269$	21.7452	+	10.4719i	1.32583	+	0.638485i	0.956749	−	0.290913i	$-0.0939591\pi$
$269$	21.7452	+	10.4719i	1.32583	+	0.638485i	0.369078	+	0.929398i	$0.379673\pi$
$270$	0.0393687	+	0.172485i	0.00239590	+	0.0104971i
$271$	−7.99151	−	10.0210i	−0.485450	−	0.608735i	0.477428	−	0.878671i	$-0.341569\pi$
$271$	−7.99151	−	10.0210i	−0.485450	−	0.608735i	−0.962878	+	0.269936i	$0.912998\pi$
$272$	−0.594982	−	2.60679i	−0.0360761	−	0.158060i
$273$	11.4638	−	5.52069i	0.693822	−	0.334127i
$274$	14.0392	−	17.6046i	0.848138	−	1.06353i
$275$	−3.91984	+	4.91532i	−0.236375	+	0.296405i
$276$	9.28849	−	40.6955i	0.559101	−	2.44958i
$277$	−24.8917	+	11.9872i	−1.49560	+	0.720243i	−0.989807	−	0.142412i	$-0.954514\pi$
$277$	−24.8917	+	11.9872i	−1.49560	+	0.720243i	−0.505793	+	0.862655i	$0.668800\pi$
$278$	−7.14214	−	3.43947i	−0.428357	−	0.206286i
$279$	−1.97983	+	8.67420i	−0.118529	+	0.519311i
$280$	6.84059	−	29.9706i	0.408804	−	1.79109i
$281$	25.7704	+	12.4104i	1.53734	+	0.740342i	0.995005	−	0.0998232i	$-0.0318277\pi$
$281$	25.7704	+	12.4104i	1.53734	+	0.740342i	0.542331	+	0.840165i	$0.317542\pi$
$282$	−9.64430	+	4.64445i	−0.574309	+	0.276573i
$283$	0.923109	−	4.04440i	0.0548731	−	0.240415i	−0.940052	−	0.341030i	$-0.889224\pi$
$283$	0.923109	−	4.04440i	0.0548731	−	0.240415i	0.994925	+	0.100616i	$0.0320812\pi$
$284$	30.0876	−	37.7287i	1.78537	−	2.23879i
$285$	43.6651	−	54.7543i	2.58650	−	3.24337i
$286$	3.73742	−	1.79985i	0.220999	−	0.106427i
$287$	−3.76716	−	16.5050i	−0.222369	−	0.974260i
$288$	−3.88328	−	4.86948i	−0.228825	−	0.286937i
$289$	−0.222521	−	0.974928i	−0.0130895	−	0.0573487i
$290$	58.4009	+	28.1244i	3.42942	+	1.65152i
$291$	−4.88068	+	6.12017i	−0.286110	+	0.358771i
$292$	18.9104	+	9.10679i	1.10665	+	0.532934i
$293$	−8.38554	−	10.5151i	−0.489889	−	0.614301i	0.474026	−	0.880511i	$-0.342800\pi$
$293$	−8.38554	−	10.5151i	−0.489889	−	0.614301i	−0.963915	+	0.266210i	$0.914229\pi$
$294$	20.9509			1.22188
$295$	−5.93784			−0.345714
$296$	27.0033	+	33.8611i	1.56954	+	1.96814i
$297$	0.0104811	−	0.00504745i	0.000608178	−	0.000292883i
$298$	11.9785	−	52.4811i	0.693894	−	3.04015i
$299$	−2.82176	−	12.3629i	−0.163187	−	0.714968i
$300$	−94.2018			−5.43874
$301$	9.08957	−	8.07290i	0.523914	−	0.465314i
$302$	15.6372			0.899821
$303$	0.985598	+	4.31819i	0.0566211	+	0.248073i
$304$	−4.36506	+	19.1246i	−0.250353	+	1.09687i
$305$	8.97137	−	4.32038i	0.513699	−	0.247385i
$306$	4.48153	+	5.61966i	0.256192	+	0.321255i
$307$	16.7420			0.955517			0.477759	−	0.878491i	$-0.341449\pi$
$307$	16.7420			0.955517			0.477759	+	0.878491i	$0.341449\pi$
$308$	−4.30515			−0.245309
$309$	5.12025	+	6.42059i	0.291281	+	0.365255i
$310$	25.0946	+	12.0849i	1.42528	+	0.686379i
$311$	−16.9175	+	21.2138i	−0.959301	+	1.20292i	0.0198528	+	0.999803i	$0.493680\pi$
$311$	−16.9175	+	21.2138i	−0.959301	+	1.20292i	−0.979153	+	0.203122i	$0.934891\pi$
$312$	26.2934	+	12.6622i	1.48857	+	0.716858i
$313$	6.42013	+	28.1284i	0.362887	+	1.58991i	0.745827	+	0.666139i	$0.232054\pi$
$313$	6.42013	+	28.1284i	0.362887	+	1.58991i	−0.382940	+	0.923773i	$0.625089\pi$
$314$	−5.86198	−	7.35069i	−0.330811	−	0.414824i
$315$	4.81380	+	21.0906i	0.271227	+	1.18832i
$316$	−23.2899	+	11.2158i	−1.31016	+	0.630940i
$317$	20.6586	−	25.9051i	1.16030	−	1.45497i	0.293754	−	0.955881i	$-0.405095\pi$
$317$	20.6586	−	25.9051i	1.16030	−	1.45497i	0.866548	−	0.499093i	$-0.166333\pi$
$318$	36.3297	−	45.5560i	2.03727	−	2.55466i
$319$	0.948418	−	4.15529i	0.0531012	−	0.232652i
$320$	−36.3555	+	17.5079i	−2.03234	+	0.978721i
$321$	−14.7317	−	7.09442i	−0.822244	−	0.395972i
$322$	−4.48202	+	19.6370i	−0.249773	+	1.09433i
$323$	−1.63251	+	7.15251i	−0.0908355	+	0.397976i
$324$	30.6497	+	14.7601i	1.70276	+	0.820005i
$325$	−25.7836	+	12.4167i	−1.43022	+	0.688757i
$326$	−4.33862	+	19.0087i	−0.240294	+	1.05280i
$327$	−7.88445	+	9.88679i	−0.436011	+	0.546741i
$328$	24.2097	−	30.3580i	1.33676	−	1.67624i
$329$	3.04068	−	1.46432i	0.167638	−	0.0807304i
$330$	3.14283	+	13.7696i	0.173007	+	0.757993i
$331$	20.6313	+	25.8708i	1.13400	+	1.42199i	0.892186	+	0.451667i	$0.149171\pi$
$331$	20.6313	+	25.8708i	1.13400	+	1.42199i	0.241813	+	0.970323i	$0.422258\pi$
$332$	1.33258	+	5.83841i	0.0731348	+	0.320424i
$333$	−27.4595	−	13.2238i	−1.50477	−	0.724659i
$334$	−34.0263	+	42.6676i	−1.86184	+	2.33467i
$335$	−16.8509	−	8.11495i	−0.920662	−	0.443367i
$336$	−7.56572	−	9.48711i	−0.412744	−	0.517564i
$337$	29.7255			1.61925			0.809624	−	0.586948i	$-0.199671\pi$
$337$	29.7255			1.61925			0.809624	+	0.586948i	$0.199671\pi$
$338$	−12.3451			−0.671483
$339$	−23.3322	−	29.2576i	−1.26723	−	1.58906i
$340$	13.2463	−	6.37907i	0.718380	−	0.345954i
$341$	0.407531	−	1.78551i	0.0220691	−	0.0966909i
$342$	−11.7342	−	51.4109i	−0.634514	−	2.77999i
$343$	−19.5829			−1.05738
$344$	27.4748	+	4.75495i	1.48134	+	0.256369i
$345$	43.1754			2.32449
$346$	6.30412	+	27.6201i	0.338911	+	1.48487i
$347$	0.0962622	−	0.421752i	0.00516763	−	0.0226408i	−0.972278	−	0.233826i	$-0.924875\pi$
$347$	0.0962622	−	0.421752i	0.00516763	−	0.0226408i	0.977446	+	0.211186i	$0.0677324\pi$
$348$	57.5386	−	27.7091i	3.08439	−	1.48536i
$349$	−18.5277	−	23.2330i	−0.991767	−	1.24364i	−0.969806	−	0.243878i	$-0.921580\pi$
$349$	−18.5277	−	23.2330i	−0.991767	−	1.24364i	−0.0219610	−	0.999759i	$-0.506991\pi$
$350$	45.4556			2.42971
$351$	0.0529535			0.00282645
$352$	0.799341	+	1.00234i	0.0426050	+	0.0534250i
$353$	−9.69434	−	4.66855i	−0.515978	−	0.248482i	0.157727	−	0.987483i	$-0.449584\pi$
$353$	−9.69434	−	4.66855i	−0.515978	−	0.248482i	−0.673704	+	0.739001i	$0.735298\pi$
$354$	−5.58245	+	7.00018i	−0.296704	+	0.372055i
$355$	44.9708	+	21.6568i	2.38680	+	1.14942i
$356$	−8.71974	−	38.2037i	−0.462145	−	2.02479i
$357$	−2.82955	−	3.54814i	−0.149755	−	0.187787i
$358$	−6.83990	−	29.9676i	−0.361500	−	1.58383i
$359$	−3.65007	+	1.75778i	−0.192643	+	0.0927721i	−0.527719	−	0.849419i	$-0.676952\pi$
$359$	−3.65007	+	1.75778i	−0.192643	+	0.0927721i	0.335075	+	0.942191i	$0.391238\pi$
$360$	−30.9360	+	38.7925i	−1.63047	+	2.04454i
$361$	21.7121	−	27.2261i	1.14274	−	1.43295i
$362$	1.21280	−	5.31363i	0.0637434	−	0.279278i
$363$	−23.4237	+	11.2803i	−1.22943	+	0.592061i
$364$	−17.6561	−	8.50271i	−0.925429	−	0.445663i
$365$	−4.83087	+	21.1654i	−0.252859	+	1.10785i
$366$	3.34108	−	14.6382i	0.174641	−	0.765153i
$367$	−14.6021	−	7.03200i	−0.762224	−	0.367068i	0.0120427	−	0.999927i	$-0.496167\pi$
$367$	−14.6021	−	7.03200i	−0.762224	−	0.367068i	−0.774266	+	0.632860i	$0.781881\pi$
$368$	−10.8958	+	5.24716i	−0.567985	+	0.273527i
$369$	−6.08031	+	26.6396i	−0.316528	+	1.38680i
$370$	−59.4876	+	74.5951i	−3.09261	+	3.87801i
$371$	−11.4542	+	14.3631i	−0.594670	+	0.745693i
$372$	24.7241	−	11.9065i	1.28188	−	0.617323i
$373$	2.56142	+	11.2223i	0.132625	+	0.581068i	0.996944	+	0.0781237i	$0.0248929\pi$
$373$	2.56142	+	11.2223i	0.132625	+	0.581068i	−0.864319	+	0.502945i	$0.832250\pi$
$374$	−0.922486	−	1.15676i	−0.0477006	−	0.0598147i
$375$	−11.0608	−	48.4605i	−0.571177	−	2.50249i
$376$	6.97411	+	3.35855i	0.359662	+	0.173204i
$377$	12.0963	−	15.1683i	0.622993	−	0.781209i
$378$	−0.0757806	−	0.0364940i	−0.00389773	−	0.00187705i
$379$	−14.5482	−	18.2429i	−0.747291	−	0.937073i	0.252241	−	0.967664i	$-0.418832\pi$
$379$	−14.5482	−	18.2429i	−0.747291	−	0.937073i	−0.999532	+	0.0305914i	$0.990261\pi$
$380$	−107.862			−5.53322
$381$	−8.63141			−0.442201
$382$	−4.12876	−	5.17731i	−0.211246	−	0.264894i
$383$	−1.48862	+	0.716883i	−0.0760651	+	0.0366310i	−0.471530	−	0.881850i	$-0.656298\pi$
$383$	−1.48862	+	0.716883i	−0.0760651	+	0.0366310i	0.395464	+	0.918481i	$0.370584\pi$
$384$	−11.2718	+	49.3850i	−0.575211	+	2.52017i
$385$	−0.990881	−	4.34133i	−0.0505000	−	0.221255i
$386$	47.2831			2.40665
$387$	−18.8714	+	5.37410i	−0.959289	+	0.273181i
$388$	12.0563			0.612067
$389$	−5.97887	−	26.1951i	−0.303141	−	1.32815i	−0.865357	−	0.501156i	$-0.832908\pi$
$389$	−5.97887	−	26.1951i	−0.303141	−	1.32815i	0.562217	−	0.826990i	$-0.309949\pi$
$390$	−14.3059	+	62.6785i	−0.724410	+	3.17385i
$391$	−4.07500	+	1.96241i	−0.206081	+	0.0992436i
$392$	−9.44606	−	11.8450i	−0.477098	−	0.598262i
$393$	51.1946			2.58242
$394$	−25.6244			−1.29094
$395$	−16.6706	−	20.9042i	−0.838787	−	1.05181i
$396$	6.26051	+	3.01490i	0.314602	+	0.151505i
$397$	11.4905	−	14.4087i	0.576694	−	0.723151i	−0.404851	−	0.914383i	$-0.632677\pi$
$397$	11.4905	−	14.4087i	0.576694	−	0.723151i	0.981545	+	0.191231i	$0.0612481\pi$
$398$	−42.4466	−	20.4412i	−2.12765	−	1.02462i
$399$	7.40874	+	32.4598i	0.370901	+	1.62502i
$400$	17.0163	+	21.3378i	0.850815	+	1.06689i
$401$	−2.20650	−	9.66731i	−0.110187	−	0.482763i	−0.999667	−	0.0257885i	$-0.991790\pi$
$401$	−2.20650	−	9.66731i	−0.110187	−	0.482763i	0.889480	−	0.456974i	$-0.151067\pi$
$402$	−25.4091	+	12.2364i	−1.26729	+	0.610296i
$403$	5.19775	−	6.51777i	0.258918	−	0.324673i
$404$	4.25327	−	5.33343i	0.211608	−	0.265348i
$405$	−7.82977	+	34.3045i	−0.389065	+	1.70460i
$406$	−27.7644	+	13.3706i	−1.37792	+	0.663573i
$407$	5.65231	+	2.72201i	0.280174	+	0.134925i
$408$	2.31620	−	10.1479i	0.114669	−	0.502397i
$409$	−0.276569	+	1.21173i	−0.0136754	+	0.0599160i	−0.981305	−	0.192458i	$-0.938354\pi$
$409$	−0.276569	+	1.21173i	−0.0136754	+	0.0599160i	0.967630	+	0.252374i	$0.0812113\pi$
$410$	77.0689	+	37.1144i	3.80616	+	1.83295i
$411$	20.6740	−	9.95607i	1.01977	−	0.491097i
$412$	2.81447	−	12.3310i	0.138659	−	0.607506i
$413$	1.76005	−	2.20704i	0.0866066	−	0.108601i
$414$	20.2695	−	25.4172i	0.996193	−	1.24919i
$415$	−5.58077	+	2.68756i	−0.273949	+	0.131927i
$416$	1.29858	+	5.68946i	0.0636683	+	0.278949i
$417$	−5.03675	−	6.31588i	−0.246651	−	0.309290i
$418$	2.41539	+	10.5825i	0.118141	+	0.517608i
$419$	8.79436	+	4.23514i	0.429633	+	0.206900i	0.636187	−	0.771535i	$-0.280511\pi$
$419$	8.79436	+	4.23514i	0.429633	+	0.206900i	−0.206554	+	0.978435i	$0.566225\pi$
$420$	41.6007	−	52.1656i	2.02991	−	2.54542i
$421$	15.3317	+	7.38337i	0.747223	+	0.359844i	0.768432	−	0.639931i	$-0.221037\pi$
$421$	15.3317	+	7.38337i	0.747223	+	0.359844i	−0.0212090	+	0.999775i	$0.506752\pi$
$422$	−3.52433	−	4.41937i	−0.171562	−	0.215131i
$423$	−5.44720			−0.264852
$424$	−42.1358			−2.04629
$425$	6.36402	+	7.98023i	0.308700	+	0.387098i
$426$	67.8107	−	32.6559i	3.28544	−	1.58218i
$427$	−1.05339	+	4.61519i	−0.0509770	+	0.223345i
$428$	5.60375	+	24.5516i	0.270868	+	1.18675i
$429$	4.22732			0.204097
$430$	3.25596	+	61.3396i	0.157016	+	2.95806i
$431$	−36.4415			−1.75533			−0.877663	−	0.479279i	$-0.840898\pi$
$431$	−36.4415			−1.75533			−0.877663	+	0.479279i	$0.840898\pi$
$432$	−0.0112374	−	0.0492344i	−0.000540661	−	0.00236879i
$433$	6.41467	−	28.1045i	0.308270	−	1.35062i	−0.549031	−	0.835802i	$-0.685003\pi$
$433$	6.41467	−	28.1045i	0.308270	−	1.35062i	0.857301	−	0.514816i	$-0.172140\pi$
$434$	−11.9302	+	5.74530i	−0.572670	+	0.275783i
$435$	41.1852	+	51.6446i	1.97468	+	2.47617i
$436$	19.4763			0.932746
$437$	33.1821			1.58731
$438$	20.4104	+	25.5938i	0.975245	+	1.22292i
$439$	−1.18511	−	0.570720i	−0.0565623	−	0.0272390i	0.405389	−	0.914144i	$-0.367136\pi$
$439$	−1.18511	−	0.570720i	−0.0565623	−	0.0272390i	−0.461951	+	0.886905i	$0.652850\pi$
$440$	6.36792	−	7.98511i	0.303578	−	0.380675i
$441$	9.60562	+	4.62582i	0.457411	+	0.220277i
$442$	−1.49864	−	6.56597i	−0.0712830	−	0.312311i
$443$	12.5981	+	15.7975i	0.598553	+	0.750561i	0.985152	−	0.171687i	$-0.0549217\pi$
$443$	12.5981	+	15.7975i	0.598553	+	0.750561i	−0.386599	+	0.922248i	$0.626350\pi$
$444$	20.9174	+	91.6450i	0.992695	+	4.34928i
$445$	36.5178	−	17.5861i	1.73111	−	0.833660i
$446$	−16.1573	+	20.2606i	−0.765070	+	0.959368i
$447$	34.2028	−	42.8890i	1.61774	−	2.02858i
$448$	4.26874	−	18.7026i	0.201679	−	0.883613i
$449$	−2.94896	+	1.42015i	−0.139170	+	0.0670208i	−0.502173	−	0.864767i	$-0.667466\pi$
$449$	−2.94896	+	1.42015i	−0.139170	+	0.0670208i	0.363003	+	0.931788i	$0.381752\pi$
$450$	−66.1012	−	31.8327i	−3.11604	−	1.50061i
$451$	1.25158	−	5.48354i	0.0589347	−	0.258210i
$452$	−12.8251	+	56.1905i	−0.603242	+	2.64298i
$453$	14.3573	+	6.91409i	0.674563	+	0.324852i
$454$	−31.7636	+	15.2965i	−1.49074	+	0.717901i
$455$	4.51043	−	19.7615i	0.211452	−	0.926432i
$456$	−47.6124	+	59.7041i	−2.22965	+	2.79590i
$457$	24.3913	−	30.5857i	1.14098	−	1.43074i	0.255044	−	0.966929i	$-0.417910\pi$
$457$	24.3913	−	30.5857i	1.14098	−	1.43074i	0.885934	−	0.463812i	$-0.153519\pi$
$458$	−22.4176	+	10.7957i	−1.04750	+	0.504451i
$459$	−0.00420275	−	0.0184134i	−0.000196168	−	0.000859466i
$460$	−41.4601	−	51.9893i	−1.93309	−	2.42402i
$461$	−1.21455	−	5.32130i	−0.0565673	−	0.247838i	0.938737	−	0.344635i	$-0.111997\pi$
$461$	−1.21455	−	5.32130i	−0.0565673	−	0.247838i	−0.995304	+	0.0967973i	$0.969140\pi$
$462$	−6.04962	−	2.91334i	−0.281454	−	0.135541i
$463$	17.9245	−	22.4766i	0.833022	−	1.04458i	−0.165276	−	0.986247i	$-0.552851\pi$
$463$	17.9245	−	22.4766i	0.833022	−	1.04458i	0.998297	−	0.0583287i	$-0.0185771\pi$
$464$	−16.6700	−	8.02785i	−0.773885	−	0.372684i
$465$	17.6971	+	22.1915i	0.820684	+	1.02911i
$466$	−24.0985			−1.11634
$467$	−11.7438			−0.543437			−0.271718	−	0.962377i	$-0.587592\pi$
$467$	−11.7438			−0.543437			−0.271718	+	0.962377i	$0.587592\pi$
$468$	19.7208	+	24.7291i	0.911595	+	1.14310i
$469$	8.01107	−	3.85793i	0.369917	−	0.178143i
$470$	−3.79453	+	16.6249i	−0.175029	+	0.766851i
$471$	−2.13200	−	9.34092i	−0.0982376	−	0.430407i
$472$	6.47461			0.298018
$473$	3.88453	−	1.10621i	0.178611	−	0.0508638i
$474$	−40.3170			−1.85182
$475$	−16.6632	−	73.0064i	−0.764561	−	3.34976i
$476$	−1.55533	+	6.81435i	−0.0712885	+	0.312335i
$477$	26.7150	−	12.8653i	1.22320	−	0.589060i
$478$	27.7938	+	34.8523i	1.27126	+	1.59411i
$479$	−9.60397			−0.438817			−0.219408	−	0.975633i	$-0.570413\pi$
$479$	−9.60397			−0.438817			−0.219408	+	0.975633i	$0.570413\pi$
$480$	−19.8695			−0.906912
$481$	17.8050	+	22.3267i	0.811836	+	1.01801i
$482$	−40.1571	−	19.3386i	−1.82911	−	0.880851i
$483$	−12.7978	+	16.0479i	−0.582319	+	0.730204i
$484$	36.0762	+	17.3734i	1.63983	+	0.789698i
$485$	2.77491	+	12.1577i	0.126002	+	0.552051i
$486$	32.9959	+	41.3755i	1.49672	+	1.87683i
$487$	0.749215	+	3.28253i	0.0339502	+	0.148745i	0.989062	−	0.147500i	$-0.0471226\pi$
$487$	0.749215	+	3.28253i	0.0339502	+	0.148745i	−0.955112	+	0.296245i	$0.904265\pi$
$488$	−9.78237	+	4.71094i	−0.442827	+	0.213254i
$489$	−12.3883	+	15.5345i	−0.560219	+	0.702493i
$490$	20.8094	−	26.0942i	0.940073	−	1.17881i
$491$	8.01562	−	35.1187i	0.361740	−	1.58489i	−0.387037	−	0.922064i	$-0.626502\pi$
$491$	8.01562	−	35.1187i	0.361740	−	1.58489i	0.748777	−	0.662822i	$-0.230641\pi$
$492$	75.9309	−	36.5664i	3.42323	−	1.64854i
$493$	−6.23451	−	3.00238i	−0.280788	−	0.135220i
$494$	−10.9947	+	48.1709i	−0.494675	+	2.16731i
$495$	−1.59931	+	7.00704i	−0.0718837	+	0.314943i
$496$	−7.16303	−	3.44953i	−0.321630	−	0.154889i
$497$	−21.3796	+	10.2959i	−0.959005	+	0.461832i
$498$	−2.07837	+	9.10593i	−0.0931339	+	0.408046i
$499$	−0.661334	+	0.829287i	−0.0296054	+	0.0371240i	−0.796414	−	0.604752i	$-0.793272\pi$
$499$	−0.661334	+	0.829287i	−0.0296054	+	0.0371240i	0.766808	+	0.641876i	$0.221844\pi$
$500$	−47.7319	+	59.8540i	−2.13464	+	2.67675i
$501$	−50.1069	+	24.1302i	−2.23861	+	1.07806i
$502$	−2.93550	−	12.8613i	−0.131018	−	0.574027i
$503$	−15.5486	−	19.4973i	−0.693278	−	0.869343i	0.303224	−	0.952919i	$-0.401937\pi$
$503$	−15.5486	−	19.4973i	−0.693278	−	0.869343i	−0.996501	+	0.0835766i	$0.973366\pi$
$504$	−5.24896	−	22.9972i	−0.233807	−	1.02438i
$505$	6.35719	+	3.06146i	0.282891	+	0.136233i
$506$	−4.17232	+	5.23192i	−0.185482	+	0.232587i
$507$	−11.3346	−	5.45844i	−0.503386	−	0.242418i
$508$	8.28849	+	10.3934i	0.367742	+	0.461135i
$509$	−16.4297			−0.728234			−0.364117	−	0.931353i	$-0.618629\pi$
$509$	−16.4297			−0.728234			−0.364117	+	0.931353i	$0.618629\pi$
$510$	22.9305			1.01538
$511$	−6.43505	−	8.06930i	−0.284670	−	0.356965i
$512$	25.5014	−	12.2808i	1.12702	−	0.542742i
$513$	−0.0308333	+	0.135089i	−0.00136132	+	0.00596434i
$514$	−2.12888	−	9.32722i	−0.0939007	−	0.411406i
$515$	13.0824			0.576481
$516$	49.2492	+	35.1719i	2.16807	+	1.54835i
$517$	1.12126			0.0493130
$518$	−10.0934	−	44.2219i	−0.443477	−	1.94300i
$519$	−6.42431	+	28.1467i	−0.281996	+	1.23550i
$520$	41.8865	−	20.1715i	1.83684	−	0.884577i
$521$	−25.5930	−	32.0926i	−1.12125	−	1.40600i	−0.902751	−	0.430163i	$-0.858456\pi$
$521$	−25.5930	−	32.0926i	−1.12125	−	1.40600i	−0.218497	−	0.975838i	$-0.570115\pi$
$522$	49.7382			2.17698
$523$	−20.7768			−0.908507			−0.454254	−	0.890872i	$-0.650094\pi$
$523$	−20.7768			−0.908507			−0.454254	+	0.890872i	$0.650094\pi$
$524$	−49.1607	−	61.6455i	−2.14759	−	2.69300i
$525$	41.7349	+	20.0985i	1.82146	+	0.877170i
$526$	18.7062	−	23.4569i	0.815630	−	1.02277i
$527$	−2.67894	−	1.29011i	−0.116697	−	0.0561981i
$528$	−0.897091	−	3.93041i	−0.0390409	−	0.171049i
$529$	−1.58575	−	1.98846i	−0.0689455	−	0.0864549i
$530$	−20.6553	−	90.4966i	−0.897207	−	3.93092i
$531$	−4.10505	+	1.97689i	−0.178144	+	0.0857895i
$532$	31.9718	−	40.0914i	1.38615	−	1.73818i
$533$	15.9630	−	20.0169i	0.691433	−	0.867029i
$534$	13.5998	−	59.5847i	0.588522	−	2.57848i
$535$	−23.4682	+	11.3017i	−1.01462	+	0.488615i
$536$	18.3742	+	8.84854i	0.793643	+	0.382199i
$537$	6.97030	−	30.5389i	0.300791	−	1.31785i
$538$	12.9009	−	56.5224i	0.556195	−	2.43685i
$539$	−1.97724	−	0.952188i	−0.0851657	−	0.0410136i
$540$	0.250182	−	0.120481i	0.0107661	−	0.00518469i
$541$	0.234538	−	1.02758i	0.0100836	−	0.0441791i	−0.969636	−	0.244553i	$-0.921359\pi$
$541$	0.234538	−	1.02758i	0.0100836	−	0.0441791i	0.979719	+	0.200374i	$0.0642158\pi$
$542$	−19.1966	+	24.0717i	−0.824562	+	1.03397i
$543$	3.46298	−	4.34244i	0.148611	−	0.186352i
$544$	1.87532	−	0.903109i	0.0804039	−	0.0387205i
$545$	4.48270	+	19.6400i	0.192018	+	0.841285i
$546$	−19.0565	−	23.8961i	−0.815543	−	1.02266i
$547$	9.77942	+	42.8464i	0.418138	+	1.83198i	0.542904	+	0.839795i	$0.317325\pi$
$547$	9.77942	+	42.8464i	0.418138	+	1.83198i	−0.124766	+	0.992186i	$0.539818\pi$
$548$	−31.8411	−	15.3339i	−1.36019	−	0.655031i
$549$	4.76385	−	5.97368i	0.203316	−	0.254950i
$550$	13.6064	+	6.55249i	0.580178	+	0.279399i
$551$	31.6525	+	39.6910i	1.34844	+	1.69089i
$552$	−47.0784			−2.00379
$553$	12.7113			0.540538
$554$	41.3780	+	51.8863i	1.75798	+	2.20444i
$555$	−87.6009	+	42.1864i	−3.71845	+	1.79071i
$556$	−2.76857	+	12.1299i	−0.117414	+	0.514423i
$557$	1.09950	+	4.81723i	0.0465873	+	0.204112i	0.992865	−	0.119242i	$-0.0380465\pi$
$557$	1.09950	+	4.81723i	0.0465873	+	0.204112i	−0.946278	+	0.323355i	$0.895189\pi$
$558$	21.3723			0.904761
$559$	18.1158	+	3.13523i	0.766217	+	0.132606i
$560$	−19.3307			−0.816872
$561$	−0.335508	−	1.46996i	−0.0141652	−	0.0620617i
$562$	15.2889	−	66.9852i	0.644925	−	2.82560i
$563$	−39.2753	+	18.9140i	−1.65526	+	0.797129i	−0.656160	+	0.754622i	$0.727820\pi$
$563$	−39.2753	+	18.9140i	−1.65526	+	0.797129i	−0.999096	+	0.0425071i	$0.986466\pi$
$564$	10.4751	+	13.1353i	0.441080	+	0.553096i
$565$	−59.6146			−2.50801
$566$	−9.96498			−0.418859
$567$	−10.4298	−	13.0785i	−0.438010	−	0.549247i
$568$	−49.0361	−	23.6146i	−2.05751	−	0.990845i
$569$	8.26172	−	10.3599i	0.346349	−	0.434308i	−0.577894	−	0.816112i	$-0.696125\pi$
$569$	8.26172	−	10.3599i	0.346349	−	0.434308i	0.924244	+	0.381803i	$0.124697\pi$
$570$	−151.569	−	72.9916i	−6.34851	−	3.05728i
$571$	4.50497	+	19.7376i	0.188527	+	0.825991i	0.977394	+	0.211427i	$0.0678110\pi$
$571$	4.50497	+	19.7376i	0.188527	+	0.825991i	−0.788867	+	0.614564i	$0.789332\pi$
$572$	−4.05937	−	5.09029i	−0.169731	−	0.212836i
$573$	−1.50163	−	6.57908i	−0.0627316	−	0.274845i
$574$	−36.6393	+	17.6446i	−1.52930	+	0.736470i
$575$	28.7839	−	36.0938i	1.20037	−	1.50522i
$576$	−19.3050	+	24.2077i	−0.804375	+	1.00865i
$577$	1.45231	−	6.36299i	0.0604605	−	0.264895i	−0.935659	−	0.352905i	$-0.885194\pi$
$577$	1.45231	−	6.36299i	0.0604605	−	0.264895i	0.996120	+	0.0880106i	$0.0280509\pi$
$578$	−2.16423	+	1.04224i	−0.0900202	+	0.0433515i
$579$	43.4128	+	20.9065i	1.80418	+	0.868845i
$580$	22.6385	−	99.1857i	0.940012	−	4.11846i
$581$	0.655275	−	2.87095i	0.0271854	−	0.119107i
$582$	16.9416	+	8.15865i	0.702252	+	0.338187i
$583$	−5.49906	+	2.64821i	−0.227748	+	0.109678i
$584$	5.26757	−	23.0787i	0.217974	−	0.955005i
$585$	−20.3980	+	25.5783i	−0.843353	+	1.05753i
$586$	−20.1431	+	25.2586i	−0.832102	+	1.04342i
$587$	−5.42679	+	2.61340i	−0.223988	+	0.107867i	−0.542512	−	0.840048i	$-0.682527\pi$
$587$	−5.42679	+	2.61340i	−0.223988	+	0.107867i	0.318525	+	0.947915i	$0.396813\pi$
$588$	−7.31713	−	32.0584i	−0.301753	−	1.32207i
$589$	13.6009	+	17.0550i	0.560417	+	0.702741i
$590$	3.17390	+	13.9058i	0.130668	+	0.572492i
$591$	−23.5269	−	11.3300i	−0.967769	−	0.466053i
$592$	16.9802	−	21.2925i	0.697881	−	0.875115i
$593$	11.5225	+	5.54895i	0.473173	+	0.227868i	0.655244	−	0.755417i	$-0.272566\pi$
$593$	11.5225	+	5.54895i	0.473173	+	0.227868i	−0.182071	+	0.983285i	$0.558280\pi$
$594$	−0.0174230	−	0.0218477i	−0.000714874	−	0.000896423i
$595$	−7.22960			−0.296385
$596$	−84.4883			−3.46078
$597$	−29.9340	−	37.5360i	−1.22512	−	1.53625i
$598$	−27.4444	+	13.2165i	−1.12228	+	0.540464i
$599$	−2.75326	+	12.0628i	−0.112495	+	0.492873i	0.887020	+	0.461731i	$0.152772\pi$
$599$	−2.75326	+	12.0628i	−0.112495	+	0.492873i	−0.999515	+	0.0311421i	$0.990086\pi$
$600$	23.6417	+	103.581i	0.965167	+	4.22867i
$601$	39.5411			1.61292			0.806458	−	0.591291i	$-0.201381\pi$
$601$	39.5411			1.61292			0.806458	+	0.591291i	$0.201381\pi$
$602$	−23.7644	−	16.9716i	−0.968566	−	0.691712i
$603$	−14.3513			−0.584432
$604$	−5.46131	−	23.9276i	−0.222218	−	0.973599i
$605$	−9.21603	+	40.3781i	−0.374685	+	1.64160i
$606$	9.58590	−	4.61632i	0.389400	−	0.187525i
$607$	21.6110	+	27.0993i	0.877163	+	1.09993i	0.994279	+	0.106810i	$0.0340637\pi$
$607$	21.6110	+	27.0993i	0.877163	+	1.09993i	−0.117116	+	0.993118i	$0.537365\pi$
$608$	−15.2705			−0.619300
$609$	−31.4036			−1.27254
$610$	−14.9133	−	18.7006i	−0.603820	−	0.757167i
$611$	4.59846	+	2.21450i	0.186034	+	0.0895891i
$612$	7.03385	−	8.82016i	0.284326	−	0.356534i
$613$	−33.5959	−	16.1789i	−1.35693	−	0.653461i	−0.392976	−	0.919549i	$-0.628555\pi$
$613$	−33.5959	−	16.1789i	−1.35693	−	0.653461i	−0.963949	+	0.266088i	$0.914269\pi$
$614$	−8.94896	−	39.2080i	−0.361151	−	1.58231i
$615$	54.3502	+	68.1530i	2.19161	+	2.74819i
$616$	1.08046	+	4.73379i	0.0435328	+	0.190730i
$617$	−3.59989	+	1.73361i	−0.144926	+	0.0697927i	−0.504941	−	0.863154i	$-0.668486\pi$
$617$	−3.59989	+	1.73361i	−0.144926	+	0.0697927i	0.360015	+	0.932946i	$0.382772\pi$
$618$	12.2994	−	15.4230i	0.494756	−	0.620405i
$619$	−4.36616	+	5.47499i	−0.175491	+	0.220058i	−0.861796	−	0.507255i	$-0.830660\pi$
$619$	−4.36616	+	5.47499i	−0.175491	+	0.220058i	0.686305	+	0.727314i	$0.259232\pi$
$620$	9.72766	−	42.6197i	0.390672	−	1.71165i
$621$	−0.0769644	+	0.0370641i	−0.00308847	+	0.00148733i
$622$	58.7232	+	28.2796i	2.35458	+	1.13391i
$623$	−4.28780	+	18.7861i	−0.171787	+	0.752648i
$624$	4.08350	−	17.8910i	0.163471	−	0.716212i
$625$	−25.3617	−	12.2136i	−1.01447	−	0.488542i
$626$	62.4420	−	30.0705i	2.49568	−	1.20186i
$627$	−2.46144	+	10.7843i	−0.0983005	+	0.430682i
$628$	−9.20049	+	11.5370i	−0.367139	+	0.460378i
$629$	6.35051	−	7.96329i	0.253212	−	0.317517i
$630$	46.8189	−	22.5468i	1.86531	−	0.898286i
$631$	−9.60602	−	42.0867i	−0.382410	−	1.67545i	−0.689907	−	0.723898i	$-0.742349\pi$
$631$	−9.60602	−	42.0867i	−0.382410	−	1.67545i	0.307498	−	0.951549i	$-0.400508\pi$
$632$	18.1776	+	22.7939i	0.723064	+	0.906694i
$633$	−1.28180	−	5.61593i	−0.0509469	−	0.223213i
$634$	−71.7093	−	34.5334i	−2.84794	−	1.37150i
$635$	−8.57311	+	10.7503i	−0.340213	+	0.426614i
$636$	−82.3965	−	39.6801i	−3.26724	−	1.57342i
$637$	−6.22837	−	7.81013i	−0.246777	−	0.309449i
$638$	−10.2382			−0.405334
$639$	38.3002			1.51513
$640$	50.3128	+	63.0903i	1.98879	+	2.49386i
$641$	31.4255	−	15.1337i	1.24123	−	0.597747i	0.306086	−	0.952004i	$-0.400981\pi$
$641$	31.4255	−	15.1337i	1.24123	−	0.597747i	0.935148	+	0.354257i	$0.115266\pi$
$642$	−8.73994	+	38.2922i	−0.344938	+	1.51127i
$643$	9.21078	+	40.3551i	0.363238	+	1.59145i	0.744919	+	0.667155i	$0.232488\pi$
$643$	9.21078	+	40.3551i	0.363238	+	1.59145i	−0.381681	+	0.924294i	$0.624655\pi$
$644$	31.6133			1.24574
$645$	−24.1322	+	57.7583i	−0.950204	+	2.27423i
$646$	17.6230			0.693368
$647$	−0.155205	−	0.679999i	−0.00610175	−	0.0267335i	0.971785	−	0.235867i	$-0.0757929\pi$
$647$	−0.155205	−	0.679999i	−0.00610175	−	0.0267335i	−0.977887	+	0.209133i	$0.932936\pi$
$648$	8.53758	−	37.4056i	0.335388	−	1.46943i
$649$	0.844990	−	0.406926i	0.0331687	−	0.0159732i
$650$	42.8606	+	53.7455i	1.68113	+	2.10807i
$651$	−13.4940			−0.528872
$652$	30.6018			1.19846
$653$	20.2562	+	25.4005i	0.792686	+	0.993997i	0.999877	+	0.0156962i	$0.00499646\pi$
$653$	20.2562	+	25.4005i	0.792686	+	0.993997i	−0.207191	+	0.978301i	$0.566432\pi$
$654$	27.3682	+	13.1798i	1.07018	+	0.515372i
$655$	50.8488	−	63.7623i	1.98683	−	2.49140i
$656$	−21.9986	−	10.5940i	−0.858901	−	0.413625i
$657$	3.70685	+	16.2408i	0.144618	+	0.633613i
$658$	−5.05458	−	6.33824i	−0.197048	−	0.247090i
$659$	3.02282	+	13.2438i	0.117752	+	0.515906i	0.999059	+	0.0433625i	$0.0138071\pi$
$659$	3.02282	+	13.2438i	0.117752	+	0.515906i	−0.881307	+	0.472544i	$0.843336\pi$
$660$	19.9722	−	9.61811i	0.777417	−	0.374384i
$661$	9.91591	−	12.4342i	0.385684	−	0.483632i	−0.550653	−	0.834734i	$-0.685621\pi$
$661$	9.91591	−	12.4342i	0.385684	−	0.483632i	0.936337	+	0.351102i	$0.114193\pi$
$662$	49.5588	−	62.1448i	1.92616	−	2.41533i
$663$	1.52721	−	6.69115i	0.0593120	−	0.259863i
$664$	6.08527	−	2.93051i	0.236154	−	0.113726i
$665$	47.7871	+	23.0130i	1.85310	+	0.892407i
$666$	−16.2910	+	71.3755i	−0.631263	+	2.76574i
$667$	−6.96435	+	30.5128i	−0.269661	+	1.18146i
$668$	77.1724	+	37.1642i	2.98589	+	1.43793i
$669$	−23.7931	+	11.4582i	−0.919895	+	0.442998i
$670$	−9.99719	+	43.8005i	−0.386225	+	1.69216i
$671$	−0.980599	+	1.22963i	−0.0378556	+	0.0474694i
$672$	5.88957	−	7.38528i	0.227195	−	0.284894i
$673$	−8.69455	+	4.18708i	−0.335150	+	0.161400i	−0.593888	−	0.804548i	$-0.702408\pi$
$673$	−8.69455	+	4.18708i	−0.335150	+	0.161400i	0.258738	+	0.965948i	$0.416693\pi$
$674$	−15.8889	−	69.6138i	−0.612017	−	2.68142i
$675$	0.120197	+	0.150722i	0.00462639	+	0.00580131i
$676$	4.31152	+	18.8900i	0.165828	+	0.726539i
$677$	−39.6987	−	19.1179i	−1.52575	−	0.734761i	−0.532034	−	0.846723i	$-0.678572\pi$
$677$	−39.6987	−	19.1179i	−1.52575	−	0.734761i	−0.993712	+	0.111962i	$0.964287\pi$
$678$	−56.0466	+	70.2802i	−2.15246	+	2.69910i
$679$	−5.34140	−	2.57228i	−0.204984	−	0.0987152i
$680$	−10.3386	−	12.9642i	−0.396467	−	0.497153i
$681$	−35.9270			−1.37673
$682$	−4.39931			−0.168458
$683$	23.4468	+	29.4013i	0.897166	+	1.12501i	0.991582	+	0.129478i	$0.0413302\pi$
$683$	23.4468	+	29.4013i	0.897166	+	1.12501i	−0.0944159	+	0.995533i	$0.530098\pi$
$684$	−74.5692	+	35.9106i	−2.85122	+	1.37308i
$685$	8.13415	−	35.6380i	0.310790	−	1.36166i
$686$	10.4675	+	45.8611i	0.399651	+	1.75098i
$687$	−25.3560			−0.967391
$688$	−0.929384	−	17.5088i	−0.0354324	−	0.667517i
$689$	−27.7827			−1.05844
$690$	−23.0782	−	101.112i	−0.878572	−	3.84928i
$691$	8.51977	−	37.3276i	0.324107	−	1.42001i	−0.506062	−	0.862497i	$-0.668899\pi$
$691$	8.51977	−	37.3276i	0.324107	−	1.42001i	0.830170	−	0.557511i	$-0.188243\pi$
$692$	40.0617	−	19.2927i	1.52292	−	0.733399i
$693$	−2.13039	−	2.67143i	−0.0809269	−	0.101479i
$694$	−1.03915			−0.0394457
$695$	−12.8691			−0.488152
$696$	−44.9083	−	56.3132i	−1.70224	−	2.13455i
$697$	−8.22739	−	3.96210i	−0.311634	−	0.150075i
$698$	−44.5058	+	55.8085i	−1.68457	+	2.11238i
$699$	−22.1259	−	10.6553i	−0.836879	−	0.403020i
$700$	−15.8754	−	69.5547i	−0.600034	−	2.62892i
$701$	7.69848	+	9.65358i	0.290767	+	0.364611i	0.905663	−	0.423997i	$-0.139373\pi$
$701$	7.69848	+	9.65358i	0.290767	+	0.364611i	−0.614896	+	0.788608i	$0.710802\pi$
$702$	−0.0283048	−	0.124011i	−0.00106830	−	0.00468051i
$703$	−67.3248	+	32.4219i	−2.53920	+	1.22282i
$704$	3.97377	−	4.98295i	0.149767	−	0.187802i
$705$	−10.8348	+	13.5864i	−0.408060	+	0.511692i
$706$	−5.75140	+	25.1985i	−0.216457	+	0.948359i
$707$	−3.02227	+	1.45545i	−0.113664	+	0.0547378i
$708$	12.6611	+	6.09727i	0.475834	+	0.229150i
$709$	−9.18447	+	40.2398i	−0.344930	+	1.51124i	0.443591	+	0.896229i	$0.353704\pi$
$709$	−9.18447	+	40.2398i	−0.344930	+	1.51124i	−0.788521	+	0.615008i	$0.789153\pi$
$710$	26.6800	−	116.893i	1.00128	−	4.38691i
$711$	−18.4846	−	8.90172i	−0.693227	−	0.333841i
$712$	−39.8190	+	19.1758i	−1.49228	+	0.718644i
$713$	−2.99255	+	13.1112i	−0.112072	+	0.491020i
$714$	−6.79690	+	8.52305i	−0.254368	+	0.318967i
$715$	4.19876	−	5.26508i	0.157025	−	0.196903i
$716$	−43.4665	+	20.9324i	−1.62442	+	0.782280i
$717$	10.1086	+	44.2887i	0.377513	+	1.65399i
$718$	6.06757	+	7.60849i	0.226440	+	0.283947i
$719$	−7.58258	−	33.2215i	−0.282783	−	1.23895i	−0.894209	−	0.447650i	$-0.852261\pi$
$719$	−7.58258	−	33.2215i	−0.282783	−	1.23895i	0.611426	−	0.791301i	$-0.290596\pi$
$720$	28.1105	+	13.5373i	1.04762	+	0.504506i
$721$	−3.87781	+	4.86262i	−0.144417	+	0.181093i
$722$	−75.3662	−	36.2944i	−2.80484	−	1.35074i
$723$	−28.3194	−	35.5114i	−1.05321	−	1.32068i
$724$	−8.55432			−0.317919
$725$	70.6309			2.62317
$726$	38.9376	+	48.8263i	1.44511	+	1.81211i
$727$	33.5827	−	16.1726i	1.24551	−	0.599808i	0.309208	−	0.950994i	$-0.399936\pi$
$727$	33.5827	−	16.1726i	1.24551	−	0.599808i	0.936305	+	0.351187i	$0.114222\pi$
$728$	−4.91816	+	21.5479i	−0.182279	+	0.798617i
$729$	5.97712	+	26.1875i	0.221375	+	0.969907i
$730$	52.1493			1.93013
$731$	−0.347586	−	6.54822i	−0.0128559	−	0.242195i
$732$	−23.5658			−0.871018
$733$	4.75111	+	20.8160i	0.175486	+	0.768856i	0.983678	+	0.179936i	$0.0575892\pi$
$733$	4.75111	+	20.8160i	0.175486	+	0.768856i	−0.808192	+	0.588919i	$0.799554\pi$
$734$	−8.66305	+	37.9553i	−0.319759	+	1.40096i
$735$	30.6438	−	14.7573i	1.13031	−	0.544330i
$736$	−5.86967	−	7.36033i	−0.216359	−	0.271305i
$737$	2.95410			0.108816
$738$	65.6371			2.41613
$739$	24.6131	+	30.8639i	0.905409	+	1.13535i	0.990298	+	0.138957i	$0.0443748\pi$
$739$	24.6131	+	30.8639i	0.905409	+	1.13535i	−0.0848895	+	0.996390i	$0.527054\pi$
$740$	134.919	+	64.9736i	4.95972	+	2.38848i
$741$	−31.3938	+	39.3666i	−1.15328	+	1.44617i
$742$	39.7592	+	19.1470i	1.45961	+	0.702909i
$743$	−2.58937	−	11.3448i	−0.0949946	−	0.416199i	0.904962	−	0.425492i	$-0.139899\pi$
$743$	−2.58937	−	11.3448i	−0.0949946	−	0.416199i	−0.999957	+	0.00929333i	$0.997042\pi$
$744$	−19.2969	−	24.1976i	−0.707459	−	0.887126i
$745$	−19.4460	−	85.1985i	−0.712446	−	3.12143i
$746$	24.9123	−	11.9971i	0.912103	−	0.439245i
$747$	−2.96342	+	3.71601i	−0.108426	+	0.135962i
$748$	−1.44786	+	1.81556i	−0.0529390	+	0.0663834i
$749$	2.75556	−	12.0729i	0.100686	−	0.441134i
$750$	−107.577	+	51.8063i	−3.92816	+	1.89170i
$751$	−14.4305	−	6.94937i	−0.526577	−	0.253586i	0.151656	−	0.988433i	$-0.451540\pi$
$751$	−14.4305	−	6.94937i	−0.526577	−	0.253586i	−0.678233	+	0.734847i	$0.737254\pi$
$752$	1.08311	−	4.74544i	0.0394971	−	0.173048i
$753$	2.99147	−	13.1065i	0.109015	−	0.477627i
$754$	−41.9883	−	20.2205i	−1.52913	−	0.736388i
$755$	22.8717	−	11.0144i	0.832386	−	0.400856i
$756$	−0.0293755	+	0.128703i	−0.00106838	+	0.00468086i
$757$	−10.8835	+	13.6474i	−0.395566	+	0.496024i	−0.939235	−	0.343276i	$-0.888463\pi$
$757$	−10.8835	+	13.6474i	−0.395566	+	0.496024i	0.543669	+	0.839300i	$0.317035\pi$
$758$	−34.9465	+	43.8215i	−1.26931	+	1.59167i
$759$	−6.14412	+	2.95885i	−0.223017	+	0.107400i
$760$	27.0700	+	118.602i	0.981933	+	4.30213i
$761$	−19.7110	−	24.7168i	−0.714523	−	0.895983i	0.283491	−	0.958975i	$-0.408507\pi$
$761$	−19.7110	−	24.7168i	−0.714523	−	0.895983i	−0.998014	+	0.0629914i	$0.979936\pi$
$762$	4.61367	+	20.2138i	0.167136	+	0.732270i
$763$	−8.62873	−	4.15538i	−0.312381	−	0.150435i
$764$	−6.48017	+	8.12588i	−0.234444	+	0.293984i
$765$	10.5132	+	5.06290i	0.380106	+	0.183050i
$766$	2.47456	+	3.10300i	0.0894096	+	0.112116i
$767$	4.26911			0.154149
$768$	71.0194			2.56269
$769$	−14.4883	−	18.1678i	−0.522462	−	0.655147i	0.448667	−	0.893699i	$-0.351899\pi$
$769$	−14.4883	−	18.1678i	−0.522462	−	0.655147i	−0.971130	+	0.238552i	$0.923327\pi$
$770$	−9.63729	+	4.64107i	−0.347304	+	0.167253i
$771$	2.16946	−	9.50504i	0.0781314	−	0.342316i
$772$	−16.5137	−	72.3511i	−0.594340	−	2.60397i
$773$	−2.65543			−0.0955092			−0.0477546	−	0.998859i	$-0.515207\pi$
$773$	−2.65543			−0.0955092			−0.0477546	+	0.998859i	$0.515207\pi$
$774$	22.6727	+	41.3223i	0.814955	+	1.48530i
$775$	30.3498			1.09020
$776$	−3.02575	−	13.2567i	−0.108618	−	0.475888i
$777$	10.2858	−	45.0650i	0.369001	−	1.61670i
$778$	−58.1503	+	28.0037i	−2.08479	+	1.00398i
$779$	41.7703	+	52.3783i	1.49658	+	1.87665i
$780$	100.905			3.61297
$781$	−7.88377			−0.282104
$782$	6.77393	+	8.49424i	0.242235	+	0.303754i
$783$	−0.117751	−	0.0567059i	−0.00420808	−	0.00202650i
$784$	−5.93985	+	7.44834i	−0.212138	+	0.266012i
$785$	−13.7516	−	6.62243i	−0.490816	−	0.236365i
$786$	−27.3646	−	119.892i	−0.976063	−	4.27641i
$787$	29.9901	+	37.6064i	1.06903	+	1.34052i	0.937020	+	0.349275i	$0.113572\pi$
$787$	29.9901	+	37.6064i	1.06903	+	1.34052i	0.132011	+	0.991248i	$0.457857\pi$
$788$	8.94933	+	39.2096i	0.318807	+	1.39678i
$789$	27.5466	−	13.2658i	0.980686	−	0.472274i
$790$	−40.0446	+	50.2144i	−1.42472	+	1.78655i
$791$	17.6706	−	22.1582i	0.628293	−	0.787854i
$792$	1.74389	−	7.64047i	0.0619664	−	0.271492i
$793$	−6.45012	+	3.10621i	−0.229050	+	0.110305i
$794$	−39.8855	−	19.2079i	−1.41548	−	0.681661i
$795$	21.0491	−	92.2220i	0.746533	−	3.27078i
$796$	−16.4540	+	72.0895i	−0.583195	+	2.55514i
$797$	23.2881	+	11.2150i	0.824907	+	0.397254i	0.798203	−	0.602389i	$-0.205784\pi$
$797$	23.2881	+	11.2150i	0.824907	+	0.397254i	0.0267046	+	0.999643i	$0.491499\pi$
$798$	72.0572	−	34.7009i	2.55080	−	1.22840i
$799$	0.405080	−	1.77477i	0.0143307	−	0.0627870i
$800$	−13.2464	+	16.6105i	−0.468331	+	0.587269i
$801$	19.3912	−	24.3158i	0.685154	−	0.859156i
$802$	−21.4604	+	10.3348i	−0.757792	+	0.364933i
$803$	−0.763024	−	3.34303i	−0.0269265	−	0.117973i
$804$	27.5979	+	34.6066i	0.973302	+	1.22048i
$805$	7.27617	+	31.8790i	0.256451	+	1.12359i
$806$	−18.0422	−	8.68868i	−0.635510	−	0.306046i
$807$	36.8366	−	46.1916i	1.29671	−	1.62602i
$808$	−6.93188	−	3.33822i	−0.243863	−	0.117438i
$809$	1.66801	+	2.09162i	0.0586442	+	0.0735375i	0.810289	−	0.586031i	$-0.199310\pi$
$809$	1.66801	+	2.09162i	0.0586442	+	0.0735375i	−0.751644	+	0.659569i	$0.770739\pi$
$810$	84.5225			2.96982
$811$	−18.8408			−0.661588			−0.330794	−	0.943703i	$-0.607317\pi$
$811$	−18.8408			−0.661588			−0.330794	+	0.943703i	$0.607317\pi$
$812$	30.1560	+	37.8144i	1.05827	+	1.32703i
$813$	−28.2687	+	13.6135i	−0.991426	+	0.477446i
$814$	3.35337	−	14.6921i	0.117535	−	0.514956i
$815$	7.04338	+	30.8590i	0.246719	+	1.08095i
$816$	−6.54530			−0.229131
$817$	−18.5466	+	44.3896i	−0.648862	+	1.55300i
$818$	2.98556			0.104388
$819$	−3.46096	−	15.1635i	−0.120936	−	0.529855i
$820$	29.8749	−	130.891i	1.04328	−	4.57090i
$821$	22.4072	−	10.7907i	0.782015	−	0.376599i	0.000113299	−	1.00000i	$-0.499964\pi$
$821$	22.4072	−	10.7907i	0.782015	−	0.376599i	0.781902	+	0.623401i	$0.214250\pi$
$822$	−34.3667	−	43.0945i	−1.19868	−	1.50309i
$823$	−50.2690			−1.75227			−0.876133	−	0.482069i	$-0.839885\pi$
$823$	−50.2690			−1.75227			−0.876133	+	0.482069i	$0.839885\pi$
$824$	−14.2651			−0.496948
$825$	9.59542	+	12.0323i	0.334070	+	0.418910i
$826$	−6.10943	−	2.94215i	−0.212574	−	0.102370i
$827$	−1.69722	+	2.12825i	−0.0590182	+	0.0740065i	−0.810464	−	0.585788i	$-0.800785\pi$
$827$	−1.69722	+	2.12825i	−0.0590182	+	0.0740065i	0.751446	+	0.659794i	$0.229357\pi$
$828$	−45.9717	−	22.1388i	−1.59763	−	0.769377i
$829$	−0.773122	−	3.38727i	−0.0268516	−	0.117645i	0.959726	−	0.280938i	$-0.0906455\pi$
$829$	−0.773122	−	3.38727i	−0.0268516	−	0.117645i	−0.986578	+	0.163293i	$0.947788\pi$
$830$	9.27701	+	11.6330i	0.322010	+	0.403787i
$831$	15.0492	+	65.9347i	0.522050	+	2.28725i
$832$	26.1384	−	12.5876i	0.906187	−	0.436397i
$833$	−2.22148	+	2.78565i	−0.0769697	+	0.0965169i
$834$	−12.0989	+	15.1715i	−0.418949	+	0.525346i
$835$	−19.7145	+	86.3748i	−0.682248	+	2.98912i
$836$	15.3494	−	7.39190i	0.530872	−	0.255654i
$837$	−0.0505972	−	0.0243663i	−0.00174889	−	0.000842223i
$838$	5.21746	−	22.8592i	0.180234	−	0.789658i
$839$	−1.39857	+	6.12752i	−0.0482839	+	0.211546i	−0.993315	−	0.115435i	$-0.963174\pi$
$839$	−1.39857	+	6.12752i	−0.0482839	+	0.211546i	0.945031	+	0.326980i	$0.106031\pi$
$840$	−67.7999	−	32.6507i	−2.33932	−	1.12656i
$841$	−17.0134	+	8.19321i	−0.586668	+	0.282524i
$842$	9.09592	−	39.8518i	0.313466	−	1.37338i
$843$	43.6554	−	54.7421i	1.50357	−	1.88542i
$844$	−5.53150	+	6.93628i	−0.190402	+	0.238757i
$845$	−18.0564	+	8.69552i	−0.621161	+	0.299135i
$846$	2.91164	+	12.7567i	0.100104	+	0.438586i
$847$	−12.2764	−	15.3941i	−0.421822	−	0.528948i
$848$	5.89585	+	25.8314i	0.202464	+	0.887054i
$849$	−9.14930	−	4.40607i	−0.314003	−	0.151216i
$850$	15.2871	−	19.1695i	0.524344	−	0.657507i
$851$	−41.5056	−	19.9880i	−1.42279	−	0.685181i
$852$	−73.6519	−	92.3566i	−2.52327	−	3.16408i
$853$	38.7121			1.32548			0.662738	−	0.748851i	$-0.269394\pi$
$853$	38.7121			1.32548			0.662738	+	0.748851i	$0.269394\pi$
$854$	11.3713			0.389119
$855$	−53.3754	−	66.9307i	−1.82540	−	2.28898i
$856$	25.5897	−	12.3234i	0.874639	−	0.421204i
$857$	5.57730	−	24.4358i	0.190517	−	0.834709i	−0.785820	−	0.618455i	$-0.787759\pi$
$857$	5.57730	−	24.4358i	0.190517	−	0.834709i	0.976337	−	0.216254i	$-0.0693840\pi$
$858$	−2.25959	−	9.89991i	−0.0771411	−	0.337977i
$859$	17.7803			0.606657			0.303328	−	0.952886i	$-0.401902\pi$
$859$	17.7803			0.606657			0.303328	+	0.952886i	$0.401902\pi$
$860$	92.7226	−	26.4050i	3.16182	−	0.900405i
$861$	−41.4419			−1.41234
$862$	19.4788	+	85.3420i	0.663449	+	2.90676i
$863$	−0.0935780	+	0.409992i	−0.00318543	+	0.0139563i	−0.976496	−	0.215537i	$-0.930850\pi$
$863$	−0.0935780	+	0.409992i	−0.00318543	+	0.0139563i	0.973310	+	0.229493i	$0.0737069\pi$
$864$	0.0354192	−	0.0170570i	0.00120499	−	0.000580291i
$865$	28.6755	+	35.9580i	0.974998	+	1.22261i
$866$	−69.2465			−2.35309
$867$	−2.44791			−0.0831355
$868$	12.9579	+	16.2487i	0.439820	+	0.551517i
$869$	3.80490	+	1.83235i	0.129073	+	0.0621581i
$870$	98.9317	−	124.056i	3.35410	−	4.20591i
$871$	12.1152	+	5.83438i	0.410509	+	0.197691i
$872$	−4.88793	−	21.4154i	−0.165526	−	0.725218i
$873$	5.96605	+	7.48118i	0.201920	+	0.253200i
$874$	−17.7365	−	77.7088i	−0.599947	−	2.62854i
$875$	33.9172	−	16.3337i	1.14661	−	0.552179i
$876$	32.0345	−	40.1699i	1.08234	−	1.35722i
$877$	−7.30283	+	9.15746i	−0.246599	+	0.309225i	−0.889691	−	0.456564i	$-0.849080\pi$
$877$	−7.30283	+	9.15746i	−0.246599	+	0.309225i	0.643092	+	0.765789i	$0.277651\pi$
$878$	−0.703096	+	3.08047i	−0.0237283	+	0.103961i
$879$	−29.6625	+	14.2847i	−1.00049	+	0.481811i
$880$	−5.78632	−	2.78655i	−0.195057	−	0.0939344i
$881$	−5.26267	+	23.0573i	−0.177304	+	0.776819i	0.805564	+	0.592508i	$0.201862\pi$
$881$	−5.26267	+	23.0573i	−0.177304	+	0.776819i	−0.982868	+	0.184310i	$0.940995\pi$
$882$	5.69877	−	24.9679i	0.191887	−	0.840714i
$883$	−2.33116	−	1.12263i	−0.0784499	−	0.0377795i	0.394247	−	0.919004i	$-0.371005\pi$
$883$	−2.33116	−	1.12263i	−0.0784499	−	0.0377795i	−0.472697	+	0.881225i	$0.656720\pi$
$884$	−9.52363	+	4.58634i	−0.320314	+	0.154255i
$885$	−3.23441	+	14.1709i	−0.108724	+	0.476349i
$886$	30.2621	−	37.9474i	1.01667	−	1.27487i
$887$	3.69046	−	4.62769i	0.123913	−	0.155383i	−0.716005	−	0.698095i	$-0.754031\pi$
$887$	3.69046	−	4.62769i	0.123913	−	0.155383i	0.839918	+	0.542713i	$0.182603\pi$
$888$	95.5199	−	46.0000i	3.20544	−	1.54366i
$889$	−1.45461	−	6.37308i	−0.0487862	−	0.213746i
$890$	−60.7042	−	76.1207i	−2.03481	−	2.55157i
$891$	−1.23669	−	5.41831i	−0.0414308	−	0.181520i
$892$	36.6451	+	17.6473i	1.22697	+	0.590876i
$893$	−8.32694	+	10.4417i	−0.278651	+	0.349417i
$894$	−118.723	−	57.1742i	−3.97070	−	1.91219i
$895$	−31.1127	−	39.0140i	−1.03998	−	1.30410i
$896$	−38.3634			−1.28163
$897$	−31.0417			−1.03645
$898$	4.90211	+	6.14705i	0.163586	+	0.205130i
$899$	−18.5377	+	8.92729i	−0.618267	+	0.297742i
$900$	−25.6234	+	112.263i	−0.854113	+	3.74211i
$901$	2.20502	+	9.66084i	0.0734600	+	0.321849i
$902$	−13.5108			−0.449862
$903$	−14.3151	−	26.0900i	−0.476377	−	0.868222i
$904$	65.0037			2.16199
$905$	−1.96888	−	8.62622i	−0.0654477	−	0.286745i
$906$	8.51778	−	37.3189i	0.282984	−	1.23984i
$907$	32.7191	−	15.7567i	1.08642	−	0.523192i	0.197056	−	0.980392i	$-0.436862\pi$
$907$	32.7191	−	15.7567i	1.08642	−	0.523192i	0.889364	+	0.457200i	$0.151148\pi$
$908$	34.4997	+	43.2612i	1.14491	+	1.43567i
$909$	5.41421			0.179578
$910$	−48.6901			−1.61406
$911$	4.14843	+	5.20196i	0.137443	+	0.172349i	0.845790	−	0.533517i	$-0.179130\pi$
$911$	4.14843	+	5.20196i	0.137443	+	0.172349i	−0.708346	+	0.705865i	$0.750558\pi$
$912$	43.2639	+	20.8348i	1.43261	+	0.689908i
$913$	0.609996	−	0.764911i	0.0201879	−	0.0253149i
$914$	−84.6662	−	40.7731i	−2.80051	−	1.34865i
$915$	−5.42396	−	23.7639i	−0.179310	−	0.785610i
$916$	24.3486	+	30.5322i	0.804501	+	1.00881i
$917$	8.62760	+	37.8000i	0.284908	+	1.24827i
$918$	−0.0408758	+	0.0196848i	−0.00134910	+	0.000649694i
$919$	−20.7769	+	26.0534i	−0.685366	+	0.859421i	−0.995836	−	0.0911617i	$-0.970942\pi$
$919$	−20.7769	+	26.0534i	−0.685366	+	0.859421i	0.310470	+	0.950583i	$0.399513\pi$
$920$	−46.7604	+	58.6357i	−1.54165	+	1.93316i
$921$	9.11958	−	39.9555i	0.300500	−	1.31658i
$922$	−11.8127	+	5.68869i	−0.389030	+	0.187347i
$923$	−32.3325	−	15.5705i	−1.06424	−	0.512510i
$924$	−2.34507	+	10.2744i	−0.0771470	+	0.338003i
$925$	−23.1341	+	101.357i	−0.760645	+	3.33260i
$926$	−62.2188	−	29.9630i	−2.04464	−	0.984645i
$927$	9.04437	−	4.35554i	0.297056	−	0.143055i
$928$	3.20501	−	14.0421i	0.105210	−	0.460954i
$929$	32.7176	−	41.0266i	1.07343	−	1.34604i	0.138841	−	0.990315i	$-0.455662\pi$
$929$	32.7176	−	41.0266i	1.07343	−	1.34604i	0.934590	−	0.355725i	$-0.115766\pi$
$930$	42.5106	−	53.3066i	1.39398	−	1.74799i
$931$	23.5510	−	11.3415i	0.771852	−	0.371704i
$932$	8.41641	+	36.8747i	0.275689	+	1.20787i
$933$	41.4125	+	51.9296i	1.35578	+	1.70010i
$934$	6.27729	+	27.5026i	0.205399	+	0.899913i
$935$	−2.16406	−	1.04216i	−0.0707723	−	0.0340822i
$936$	22.2420	−	27.8905i	0.727001	−	0.911630i
$937$	46.6097	+	22.4460i	1.52267	+	0.733280i	0.993349	−	0.115140i	$-0.0367317\pi$
$937$	46.6097	+	22.4460i	1.52267	+	0.733280i	0.529323	+	0.848420i	$0.322446\pi$
$938$	−13.3169	−	16.6989i	−0.434813	−	0.545239i
$939$	70.6267			2.30482
$940$	26.7642			0.872952
$941$	−18.2641	−	22.9024i	−0.595392	−	0.746598i	0.389260	−	0.921128i	$-0.372731\pi$
$941$	−18.2641	−	22.9024i	−0.595392	−	0.746598i	−0.984652	+	0.174530i	$0.944159\pi$
$942$	−20.7358	+	9.98584i	−0.675609	+	0.325356i
$943$	−9.19053	+	40.2663i	−0.299285	+	1.31125i
$944$	−0.905961	−	3.96927i	−0.0294865	−	0.129189i
$945$	−0.136545			−0.00444182
$946$	−4.66700	−	8.50585i	−0.151737	−	0.276549i
$947$	−39.1603			−1.27254			−0.636270	−	0.771466i	$-0.719524\pi$
$947$	−39.1603			−1.27254			−0.636270	+	0.771466i	$0.719524\pi$
$948$	14.0807	+	61.6917i	0.457321	+	2.00365i
$949$	3.47324	−	15.2172i	0.112746	−	0.493972i
$950$	−162.066	+	78.0469i	−5.25812	+	2.53218i
$951$	−50.5705	−	63.4134i	−1.63986	−	2.05632i
$952$	7.88315			0.255494
$953$	47.2206			1.52963			0.764813	−	0.644253i	$-0.222832\pi$
$953$	47.2206			1.52963			0.764813	+	0.644253i	$0.222832\pi$
$954$	−44.4088	−	55.6868i	−1.43779	−	1.80293i
$955$	−9.68566	−	4.66437i	−0.313421	−	0.150935i
$956$	43.6229	−	54.7014i	1.41087	−	1.76917i
$957$	−9.40015	−	4.52687i	−0.303864	−	0.146333i
$958$	5.13353	+	22.4915i	0.165857	+	0.726666i
$959$	10.8352	+	13.5870i	0.349888	+	0.438746i
$960$	21.9800	+	96.3007i	0.709402	+	3.10809i
$961$	19.9645	−	9.61437i	0.644015	−	0.310141i
$962$	42.7696	−	53.6314i	1.37895	−	1.72915i
$963$	−12.4618	+	15.6266i	−0.401575	+	0.503559i
$964$	−15.5665	+	68.2011i	−0.501362	+	2.19661i
$965$	69.1584	−	33.3049i	2.22629	−	1.07212i
$966$	44.4231	+	21.3930i	1.42929	+	0.688310i
$967$	2.52223	−	11.0506i	0.0811094	−	0.355364i	−0.918045	−	0.396476i	$-0.870233\pi$
$967$	2.52223	−	11.0506i	0.0811094	−	0.355364i	0.999155	+	0.0411124i	$0.0130902\pi$
$968$	10.0492	−	44.0282i	0.322992	−	1.41512i
$969$	16.1805	+	7.79212i	0.519793	+	0.250319i
$970$	26.9887	−	12.9971i	0.866554	−	0.417310i
$971$	8.09065	−	35.4475i	0.259641	−	1.13756i	−0.661995	−	0.749508i	$-0.730290\pi$
$971$	8.09065	−	35.4475i	0.259641	−	1.13756i	0.921636	−	0.388055i	$-0.126853\pi$
$972$	51.7876	−	64.9396i	1.66109	−	2.08294i
$973$	3.81457	−	4.78331i	0.122289	−	0.153346i
$974$	7.28685	−	3.50916i	0.233486	−	0.112441i
$975$	15.5884	+	68.2972i	0.499228	+	2.18726i
$976$	4.25685	+	5.33792i	0.136259	+	0.170863i
$977$	−6.24065	−	27.3421i	−0.199656	−	0.874750i	−0.971142	−	0.238503i	$-0.923343\pi$
$977$	−6.24065	−	27.3421i	−0.199656	−	0.874750i	0.771486	−	0.636247i	$-0.219514\pi$
$978$	43.0018	+	20.7086i	1.37505	+	0.662188i
$979$	−3.99152	+	5.00520i	−0.127569	+	0.159967i
$980$	−47.1961	−	22.7285i	−1.50763	−	0.726034i
$981$	9.63781	+	12.0854i	0.307711	+	0.385858i
$982$	−86.5287			−2.76124
$983$	−7.69201			−0.245337			−0.122668	−	0.992448i	$-0.539145\pi$
$983$	−7.69201			−0.245337			−0.122668	+	0.992448i	$0.539145\pi$
$984$	−59.2634	−	74.3139i	−1.88925	−	2.36904i
$985$	−37.4794	+	18.0491i	−1.19419	+	0.575092i
$986$	−3.69877	+	16.2054i	−0.117793	+	0.516085i
$987$	−1.83835	−	8.05435i	−0.0585154	−	0.256373i
$988$	77.5495			2.46718
$989$	−28.5246	+	8.12308i	−0.907029	+	0.258299i
$990$	17.2646			0.548705
$991$	7.18783	+	31.4919i	0.228329	+	1.00037i	0.951002	+	0.309184i	$0.100056\pi$
$991$	7.18783	+	31.4919i	0.228329	+	1.00037i	−0.722673	+	0.691190i	$0.757087\pi$
$992$	1.37718	−	6.03383i	0.0437256	−	0.191574i
$993$	72.9799	−	35.1453i	2.31595	−	1.11530i
$994$	35.5396	+	44.5653i	1.12725	+	1.41352i
$995$	−76.4825			−2.42466
$996$	14.6595			0.464503
$997$	9.06195	+	11.3633i	0.286995	+	0.359880i	0.904340	−	0.426812i	$-0.140363\pi$
$997$	9.06195	+	11.3633i	0.286995	+	0.359880i	−0.617346	+	0.786692i	$0.711792\pi$
$998$	2.29560	+	1.10550i	0.0726659	+	0.0349940i
$999$	0.119942	−	0.150403i	0.00379480	−	0.00475853i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	731.2.k.a.188.4	yes	180
43.35	even	7	inner	731.2.k.a.35.4	✓	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.4	✓	180	43.35	even	7	inner
731.2.k.a.188.4	yes	180	1.1	even	1	trivial

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

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

Level:	\( N \)	\(=\)	\( 731 = 17 \cdot 43 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	731.k (of order \(7\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.534521 - 2.34189i) q^{2} +(0.544712 - 2.38654i) q^{3} +(-3.39680 + 1.63581i) q^{4} +(-2.43138 - 3.04885i) q^{5} -5.88018 q^{6} +1.85392 q^{7} +(2.65117 + 3.32446i) q^{8} +(-2.69596 - 1.29830i) q^{9} +O(q^{10})\)	\(q+(-0.534521 - 2.34189i) q^{2} +(0.544712 - 2.38654i) q^{3} +(-3.39680 + 1.63581i) q^{4} +(-2.43138 - 3.04885i) q^{5} -5.88018 q^{6} +1.85392 q^{7} +(2.65117 + 3.32446i) q^{8} +(-2.69596 - 1.29830i) q^{9} +(-5.84046 + 7.32370i) q^{10} +(0.554940 + 0.267245i) q^{11} +(2.05366 + 8.99766i) q^{12} +(1.74808 + 2.19202i) q^{13} +(-0.990961 - 4.34168i) q^{14} +(-8.60061 + 4.14183i) q^{15} +(1.66710 - 2.09048i) q^{16} +(0.623490 - 0.781831i) q^{17} +(-1.59944 + 7.00760i) q^{18} +(-6.60991 + 3.18317i) q^{19} +(13.2463 + 6.37907i) q^{20} +(1.00985 - 4.42446i) q^{21} +(0.329231 - 1.44246i) q^{22} +(-4.07500 - 1.96241i) q^{23} +(9.37809 - 4.51625i) q^{24} +(-2.27129 + 9.95119i) q^{25} +(4.19910 - 5.26550i) q^{26} +(0.0117758 - 0.0147664i) q^{27} +(-6.29741 + 3.03267i) q^{28} +(-1.53980 - 6.74629i) q^{29} +(14.2969 + 17.9278i) q^{30} +(-0.661644 - 2.89885i) q^{31} +(1.87532 + 0.903109i) q^{32} +(0.940074 - 1.17881i) q^{33} +(-2.16423 - 1.04224i) q^{34} +(-4.50758 - 5.65233i) q^{35} +11.2814 q^{36} +10.1854 q^{37} +(10.9878 + 13.7782i) q^{38} +(6.18355 - 2.97784i) q^{39} +(3.68980 - 16.1661i) q^{40} +(-2.03200 - 8.90276i) q^{41} -10.9014 q^{42} +(4.90289 - 4.35450i) q^{43} -2.32219 q^{44} +(2.59655 + 11.3762i) q^{45} +(-2.41759 + 10.5921i) q^{46} +(1.64014 - 0.789848i) q^{47} +(-4.08093 - 5.11732i) q^{48} -3.56298 q^{49} +24.5186 q^{50} +(-1.52625 - 1.91386i) q^{51} +(-9.52363 - 4.58634i) q^{52} +(-6.17834 + 7.74739i) q^{53} +(-0.0408758 - 0.0196848i) q^{54} +(-0.534479 - 2.34170i) q^{55} +(4.91506 + 6.16329i) q^{56} +(3.99625 + 17.5087i) q^{57} +(-14.9760 + 7.21207i) q^{58} +(0.949368 - 1.19047i) q^{59} +(22.4393 - 28.1380i) q^{60} +(-0.568194 + 2.48942i) q^{61} +(-6.43514 + 3.09900i) q^{62} +(-4.99809 - 2.40695i) q^{63} +(2.30255 - 10.0881i) q^{64} +(2.43291 - 10.6593i) q^{65} +(-3.26315 - 1.57145i) q^{66} +(4.32115 - 2.08096i) q^{67} +(-0.838941 + 3.67564i) q^{68} +(-6.90308 + 8.65619i) q^{69} +(-10.8277 + 13.5776i) q^{70} +(-11.5321 + 5.55356i) q^{71} +(-2.83128 - 12.4046i) q^{72} +(-3.47105 - 4.35256i) q^{73} +(-5.44433 - 23.8532i) q^{74} +(22.5117 + 10.8411i) q^{75} +(17.2455 - 21.6252i) q^{76} +(1.02882 + 0.495451i) q^{77} +(-10.2790 - 12.8895i) q^{78} +6.85642 q^{79} -10.4269 q^{80} +(-5.62580 - 7.05453i) q^{81} +(-19.7631 + 9.51743i) q^{82} +(0.353453 - 1.54858i) q^{83} +(3.80732 + 16.6809i) q^{84} -3.89963 q^{85} +(-12.8185 - 9.15446i) q^{86} -16.9390 q^{87} +(0.582795 + 2.55339i) q^{88} +(-2.31283 + 10.1332i) q^{89} +(25.2540 - 12.1617i) q^{90} +(3.24080 + 4.06384i) q^{91} +17.0521 q^{92} -7.27864 q^{93} +(-2.72643 - 3.41883i) q^{94} +(25.7762 + 12.4132i) q^{95} +(3.17682 - 3.98360i) q^{96} +(-2.88114 - 1.38748i) q^{97} +(1.90449 + 8.34410i) q^{98} +(-1.14913 - 1.44096i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9}+O(q^{10}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9	\( 180 q - 4 q^{2} - 6 q^{3} - 34 q^{4} - 6 q^{5} - 14 q^{6} + 66 q^{7} + 2 q^{8} - 26 q^{9} - 8 q^{10} - 12 q^{11} - 24 q^{12} - 5 q^{13} - 8 q^{14} - q^{15} - 58 q^{16} - 30 q^{17} + 36 q^{18} - 24 q^{19} - 36 q^{20} - 28 q^{21} + 5 q^{22} + 27 q^{23} - 46 q^{24} - 38 q^{25} + 6 q^{26} - 36 q^{27} - 54 q^{28} + 28 q^{29} - 21 q^{30} + 36 q^{31} + 11 q^{32} + 5 q^{33} - 4 q^{34} + 6 q^{35} + 192 q^{36} + 164 q^{37} + 32 q^{38} - 34 q^{39} + 2 q^{40} + 42 q^{41} - 2 q^{42} - 22 q^{43} + 14 q^{44} + 58 q^{45} - 53 q^{46} + 21 q^{47} - 20 q^{48} + 166 q^{49} + 18 q^{50} - 6 q^{51} + 54 q^{52} + 8 q^{53} - 154 q^{54} - 5 q^{55} - 35 q^{56} + 8 q^{57} + 9 q^{58} - 13 q^{59} - 88 q^{60} - 34 q^{61} - 36 q^{62} - 31 q^{63} - 18 q^{64} + 9 q^{65} + 222 q^{66} - 48 q^{67} - 27 q^{68} + 2 q^{69} - 64 q^{70} - 42 q^{71} + 77 q^{72} - 44 q^{73} - 35 q^{74} - 21 q^{75} + 44 q^{76} - 32 q^{77} + 124 q^{78} - 96 q^{79} + 490 q^{80} - 12 q^{81} - 130 q^{82} - 8 q^{83} + 170 q^{84} + 22 q^{85} - 12 q^{86} - 90 q^{87} - 122 q^{88} - 81 q^{89} + 49 q^{90} - 27 q^{91} - 116 q^{92} + 18 q^{93} - 124 q^{94} + 117 q^{95} + 52 q^{96} - 79 q^{97} - 54 q^{98} - 39 q^{99}+O(q^{100}) \) 180 * q - 4 * q^2 - 6 * q^3 - 34 * q^4 - 6 * q^5 - 14 * q^6 + 66 * q^7 + 2 * q^8 - 26 * q^9 - 8 * q^10 - 12 * q^11 - 24 * q^12 - 5 * q^13 - 8 * q^14 - q^15 - 58 * q^16 - 30 * q^17 + 36 * q^18 - 24 * q^19 - 36 * q^20 - 28 * q^21 + 5 * q^22 + 27 * q^23 - 46 * q^24 - 38 * q^25 + 6 * q^26 - 36 * q^27 - 54 * q^28 + 28 * q^29 - 21 * q^30 + 36 * q^31 + 11 * q^32 + 5 * q^33 - 4 * q^34 + 6 * q^35 + 192 * q^36 + 164 * q^37 + 32 * q^38 - 34 * q^39 + 2 * q^40 + 42 * q^41 - 2 * q^42 - 22 * q^43 + 14 * q^44 + 58 * q^45 - 53 * q^46 + 21 * q^47 - 20 * q^48 + 166 * q^49 + 18 * q^50 - 6 * q^51 + 54 * q^52 + 8 * q^53 - 154 * q^54 - 5 * q^55 - 35 * q^56 + 8 * q^57 + 9 * q^58 - 13 * q^59 - 88 * q^60 - 34 * q^61 - 36 * q^62 - 31 * q^63 - 18 * q^64 + 9 * q^65 + 222 * q^66 - 48 * q^67 - 27 * q^68 + 2 * q^69 - 64 * q^70 - 42 * q^71 + 77 * q^72 - 44 * q^73 - 35 * q^74 - 21 * q^75 + 44 * q^76 - 32 * q^77 + 124 * q^78 - 96 * q^79 + 490 * q^80 - 12 * q^81 - 130 * q^82 - 8 * q^83 + 170 * q^84 + 22 * q^85 - 12 * q^86 - 90 * q^87 - 122 * q^88 - 81 * q^89 + 49 * q^90 - 27 * q^91 - 116 * q^92 + 18 * q^93 - 124 * q^94 + 117 * q^95 + 52 * q^96 - 79 * q^97 - 54 * q^98 - 39 * q^99

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