LMFDB - Embedded newform 731.2.k.a.35.4

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			35.4
Character	$\chi$	$=$	731.35
Dual form			731.2.k.a.188.4

$q$-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 $\left(\mathbb{Z}/731\mathbb{Z}\right)^\times$.

$n$	$173$	$562$
$\chi(n)$	$1$	$e\left(\frac{3}{7}\right)$

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	0.325729	+	0.945463i	$0.394390\pi$
$2$	−0.534521	+	2.34189i	−0.377964	+	1.65597i	−0.703693	+	0.710504i	$0.748467\pi$
$3$	0.544712	+	2.38654i	0.314490	+	1.37787i	0.847066	+	0.531488i	$0.178367\pi$
$3$	0.544712	+	2.38654i	0.314490	+	1.37787i	−0.532576	+	0.846382i	$0.678776\pi$
$4$	−3.39680	−	1.63581i	−1.69840	−	0.817907i
$5$	−2.43138	+	3.04885i	−1.08735	+	1.36349i	−0.160938	+	0.986964i	$0.551452\pi$
$5$	−2.43138	+	3.04885i	−1.08735	+	1.36349i	−0.926407	+	0.376524i	$0.877119\pi$
$6$	−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	−0.348349	−	0.937365i	$-0.613258\pi$
$11$	0.554940	−	0.267245i	0.167321	−	0.0805774i	0.515670	+	0.856788i	$0.327543\pi$
$12$	2.05366	−	8.99766i	0.592839	−	2.59740i
$13$	1.74808	−	2.19202i	0.484830	−	0.607958i	−0.477902	−	0.878413i	$-0.658603\pi$
$13$	1.74808	−	2.19202i	0.484830	−	0.607958i	0.962733	+	0.270455i	$0.0871741\pi$
$14$	−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	−0.523833	−	0.851821i	$-0.675498\pi$
$19$	−6.60991	−	3.18317i	−1.51642	−	0.730268i	−0.992585	+	0.121552i	$0.961213\pi$
$20$	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	−0.807465	−	0.589916i	$-0.799161\pi$
$23$	−4.07500	+	1.96241i	−0.849695	+	0.409192i	−0.0422309	+	0.999108i	$0.513446\pi$
$24$	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	0.604118	+	0.796895i	$0.293525\pi$
$29$	−1.53980	+	6.74629i	−0.285933	+	1.25275i	−0.890051	+	0.455860i	$0.849332\pi$
$30$	14.2969	−	17.9278i	2.61025	−	3.27315i
$31$	−0.661644	+	2.89885i	−0.118835	+	0.520650i	0.880112	+	0.474766i	$0.157467\pi$
$31$	−0.661644	+	2.89885i	−0.118835	+	0.520650i	−0.998947	+	0.0458833i	$0.985390\pi$
$32$	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	0.524846	+	0.851197i	$0.324123\pi$
$41$	−2.03200	+	8.90276i	−0.317345	+	1.39038i	−0.842190	+	0.539180i	$0.818734\pi$
$42$	−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	0.549662	−	0.835387i	$-0.314757\pi$
$47$	1.64014	+	0.789848i	0.239239	+	0.115211i	−0.310423	+	0.950598i	$0.600471\pi$
$48$	−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	−0.997163	−	0.0752742i	$-0.976017\pi$
$53$	−6.17834	−	7.74739i	−0.848660	−	1.06419i	0.148503	−	0.988912i	$-0.452555\pi$
$54$	−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	0.839780	−	0.542927i	$-0.182684\pi$
$59$	0.949368	+	1.19047i	0.123597	+	0.154986i	−0.716183	+	0.697913i	$0.754112\pi$
$60$	22.4393	+	28.1380i	2.89690	+	3.63260i
$61$	−0.568194	−	2.48942i	−0.0727498	−	0.318738i	0.925439	−	0.378897i	$-0.123696\pi$
$61$	−0.568194	−	2.48942i	−0.0727498	−	0.318738i	−0.998189	+	0.0601589i	$0.980839\pi$
$62$	−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	0.678802	−	0.734321i	$-0.262499\pi$
$67$	4.32115	+	2.08096i	0.527912	+	0.254229i	−0.150890	+	0.988551i	$0.548214\pi$
$68$	−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	−0.402068	−	0.915610i	$-0.631709\pi$
$71$	−11.5321	−	5.55356i	−1.36861	−	0.659086i	−0.966538	+	0.256524i	$0.917423\pi$
$72$	−2.83128	+	12.4046i	−0.333669	+	1.46190i
$73$	−3.47105	+	4.35256i	−0.406255	+	0.509428i	−0.942304	−	0.334759i	$-0.891345\pi$
$73$	−3.47105	+	4.35256i	−0.406255	+	0.509428i	0.536048	+	0.844187i	$0.319916\pi$
$74$	−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	0.990615	−	0.136684i	$-0.0436446\pi$
$83$	0.353453	+	1.54858i	0.0387966	+	0.169979i	−0.951818	+	0.306663i	$0.900787\pi$
$84$	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	−0.936247	−	0.351342i	$-0.885726\pi$
$89$	−2.31283	−	10.1332i	−0.245159	−	1.07411i	0.691088	−	0.722770i	$-0.257132\pi$
$90$	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	−0.574396	−	0.818578i	$-0.694763\pi$
$97$	−2.88114	+	1.38748i	−0.292535	+	0.140878i	0.281860	+	0.959455i	$0.409049\pi$
$98$	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	0.351016	−	0.936369i	$-0.385836\pi$
$101$	−1.63021	−	0.785066i	−0.162212	−	0.0781169i	−0.513228	+	0.858252i	$0.671550\pi$
$102$	−3.66623	−	4.59731i	−0.363011	−	0.455201i
$103$	−2.09168	−	2.62288i	−0.206099	−	0.258440i	0.668029	−	0.744135i	$-0.267138\pi$
$103$	−2.09168	−	2.62288i	−0.206099	−	0.258440i	−0.874129	+	0.485695i	$0.838567\pi$
$104$	−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	0.994560	+	0.104170i	$0.0332185\pi$
$107$	1.48634	+	6.51208i	0.143690	+	0.629547i	−0.850870	+	0.525377i	$0.823924\pi$
$108$	−0.0158451	−	0.0694218i	−0.00152469	−	0.00668011i
$109$	−4.65431	+	2.24140i	−0.445802	+	0.214687i	−0.643297	−	0.765617i	$-0.722434\pi$
$109$	−4.65431	+	2.24140i	−0.445802	+	0.214687i	0.197494	+	0.980304i	$0.436720\pi$
$110$	−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	0.991660	+	0.128879i	$0.0411380\pi$
$113$	9.53145	+	11.9521i	0.896643	+	1.12435i	−0.0950171	+	0.995476i	$0.530291\pi$
$114$	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	−0.997735	−	0.0672612i	$-0.978574\pi$
$127$	−0.784615	+	3.43762i	−0.0696233	+	0.305040i	0.928112	+	0.372301i	$0.121431\pi$
$128$	−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	−0.193094	−	0.981180i	$-0.561852\pi$
$131$	4.65370	−	20.3892i	0.406596	−	1.78141i	0.599690	−	0.800233i	$-0.295291\pi$
$132$	−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	−0.466748	−	0.884390i	$-0.654575\pi$
$137$	5.84450	−	7.32877i	0.499330	−	0.626139i	0.966078	+	0.258251i	$0.0831461\pi$
$138$	23.9617	−	11.5393i	2.03976	−	0.982294i
$139$	2.05757	+	2.58011i	0.174521	+	0.218842i	0.861397	−	0.507932i	$-0.169590\pi$
$139$	2.05757	+	2.58011i	0.174521	+	0.218842i	−0.686876	+	0.726774i	$0.741019\pi$
$140$	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	0.654900	−	0.755716i	$-0.272711\pi$
$149$	20.1904	−	9.72321i	1.65407	−	0.796556i	0.999166	−	0.0408405i	$-0.0130035\pi$
$150$	13.3556	+	58.5147i	1.09048	+	4.77771i
$151$	−1.44856	−	6.34655i	−0.117882	−	0.516475i	−0.999046	−	0.0436647i	$-0.986097\pi$
$151$	−1.44856	−	6.34655i	−0.117882	−	0.516475i	0.881164	−	0.472810i	$-0.156760\pi$
$152$	−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	0.569277	−	0.822146i	$-0.307223\pi$
$157$	3.52639	+	1.69822i	0.281437	+	0.135533i	−0.287841	+	0.957678i	$0.592937\pi$
$158$	−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	−0.697778	−	0.716314i	$-0.745828\pi$
$163$	−7.31302	+	3.52176i	−0.572800	+	0.275846i	0.124979	+	0.992159i	$0.460114\pi$
$164$	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	−0.175313	+	0.984513i	$0.556094\pi$
$167$	−14.1651	+	17.7625i	−1.09613	+	1.37450i	−0.920818	+	0.389992i	$0.872478\pi$
$168$	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	−0.356364	−	0.934347i	$-0.615984\pi$
$181$	2.04425	−	0.984460i	0.151948	−	0.0731743i	0.508312	+	0.861173i	$0.330270\pi$
$182$	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	0.521579	−	0.853203i	$-0.325343\pi$
$191$	2.48374	+	1.19611i	0.179717	+	0.0865472i	−0.341862	+	0.939750i	$0.611057\pi$
$192$	−22.8215	+	10.9902i	−1.64700	+	0.793152i
$193$	−4.38009	−	19.1904i	−0.315286	−	1.38136i	−0.845718	−	0.533630i	$-0.820828\pi$
$193$	−4.38009	−	19.1904i	−0.315286	−	1.38136i	0.530433	−	0.847727i	$-0.322030\pi$
$194$	−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	0.986351	+	0.164655i	$0.0526512\pi$
$197$	2.37372	+	10.4000i	0.169121	+	0.740967i	−0.817230	+	0.576311i	$0.804492\pi$
$198$	−2.76034	−	3.46136i	−0.196169	−	0.245988i
$199$	12.2284	+	15.3339i	0.866845	+	1.08699i	0.995449	+	0.0952934i	$0.0303789\pi$
$199$	12.2284	+	15.3339i	0.866845	+	1.08699i	−0.128604	+	0.991696i	$0.541050\pi$
$200$	−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	0.505436	−	0.862864i	$-0.331332\pi$
$211$	2.12013	+	1.02100i	0.145956	+	0.0702886i	−0.359480	+	0.933153i	$0.617046\pi$
$212$	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	−0.954257	−	0.298987i	$-0.903351\pi$
$223$	−6.72627	+	8.43448i	−0.450425	+	0.564814i	0.503833	+	0.863801i	$0.331923\pi$
$224$	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	0.743090	+	0.669191i	$0.233359\pi$
$227$	−3.26585	+	14.3086i	−0.216762	+	0.949696i	−0.959852	+	0.280505i	$0.909498\pi$
$228$	−42.2155	+	52.9366i	−2.79579	+	3.50581i
$229$	−2.30492	+	10.0985i	−0.152313	+	0.667328i	0.839896	+	0.542747i	$0.182616\pi$
$229$	−2.30492	+	10.0985i	−0.152313	+	0.667328i	−0.992209	+	0.124581i	$0.960241\pi$
$230$	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	0.993908	+	0.110213i	$0.0351533\pi$
$233$	2.23237	+	9.78065i	0.146247	+	0.640752i	−0.847661	+	0.530539i	$0.821990\pi$
$234$	−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	−0.193719	−	0.981057i	$-0.562055\pi$
$239$	−16.7199	−	8.05189i	−1.08152	−	0.520834i	−0.887803	+	0.460223i	$0.847769\pi$
$240$	−5.67968	−	24.8843i	−0.366622	−	1.60627i
$241$	11.5688	+	14.5068i	0.745211	+	0.934465i	0.999466	−	0.0326724i	$-0.0104018\pi$
$241$	11.5688	+	14.5068i	0.745211	+	0.934465i	−0.254255	+	0.967137i	$0.581830\pi$
$242$	−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	−0.481443	−	0.876478i	$-0.659887\pi$
$263$	7.78739	−	9.76508i	0.480191	−	0.602141i	0.961634	+	0.274337i	$0.0884584\pi$
$264$	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	0.369078	−	0.929398i	$-0.379673\pi$
$269$	21.7452	−	10.4719i	1.32583	−	0.638485i	0.956749	+	0.290913i	$0.0939591\pi$
$270$	0.0393687	−	0.172485i	0.00239590	−	0.0104971i
$271$	−7.99151	+	10.0210i	−0.485450	+	0.608735i	−0.962878	−	0.269936i	$-0.912998\pi$
$271$	−7.99151	+	10.0210i	−0.485450	+	0.608735i	0.477428	+	0.878671i	$0.341569\pi$
$272$	−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	−0.505793	−	0.862655i	$-0.668800\pi$
$277$	−24.8917	−	11.9872i	−1.49560	−	0.720243i	−0.989807	+	0.142412i	$0.954514\pi$
$278$	−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	0.542331	−	0.840165i	$-0.317542\pi$
$281$	25.7704	−	12.4104i	1.53734	−	0.740342i	0.995005	+	0.0998232i	$0.0318277\pi$
$282$	−9.64430	−	4.64445i	−0.574309	−	0.276573i
$283$	0.923109	+	4.04440i	0.0548731	+	0.240415i	0.994925	−	0.100616i	$-0.0320812\pi$
$283$	0.923109	+	4.04440i	0.0548731	+	0.240415i	−0.940052	+	0.341030i	$0.889224\pi$
$284$	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	−0.963915	−	0.266210i	$-0.914229\pi$
$293$	−8.38554	+	10.5151i	−0.489889	+	0.614301i	0.474026	+	0.880511i	$0.342800\pi$
$294$	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	−0.979153	−	0.203122i	$-0.934891\pi$
$311$	−16.9175	−	21.2138i	−0.959301	−	1.20292i	0.0198528	−	0.999803i	$-0.493680\pi$
$312$	26.2934	−	12.6622i	1.48857	−	0.716858i
$313$	6.42013	−	28.1284i	0.362887	−	1.58991i	−0.382940	−	0.923773i	$-0.625089\pi$
$313$	6.42013	−	28.1284i	0.362887	−	1.58991i	0.745827	−	0.666139i	$-0.232054\pi$
$314$	−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	0.866548	+	0.499093i	$0.166333\pi$
$317$	20.6586	+	25.9051i	1.16030	+	1.45497i	0.293754	+	0.955881i	$0.405095\pi$
$318$	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	0.241813	−	0.970323i	$-0.422258\pi$
$331$	20.6313	−	25.8708i	1.13400	−	1.42199i	0.892186	−	0.451667i	$-0.149171\pi$
$332$	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	0.977446	−	0.211186i	$-0.0677324\pi$
$347$	0.0962622	+	0.421752i	0.00516763	+	0.0226408i	−0.972278	+	0.233826i	$0.924875\pi$
$348$	57.5386	+	27.7091i	3.08439	+	1.48536i
$349$	−18.5277	+	23.2330i	−0.991767	+	1.24364i	−0.0219610	+	0.999759i	$0.506991\pi$
$349$	−18.5277	+	23.2330i	−0.991767	+	1.24364i	−0.969806	+	0.243878i	$0.921580\pi$
$350$	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	−0.673704	−	0.739001i	$-0.735298\pi$
$353$	−9.69434	+	4.66855i	−0.515978	+	0.248482i	0.157727	+	0.987483i	$0.449584\pi$
$354$	−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	0.335075	−	0.942191i	$-0.391238\pi$
$359$	−3.65007	−	1.75778i	−0.192643	−	0.0927721i	−0.527719	+	0.849419i	$0.676952\pi$
$360$	−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	−0.774266	−	0.632860i	$-0.781881\pi$
$367$	−14.6021	+	7.03200i	−0.762224	+	0.367068i	0.0120427	+	0.999927i	$0.496167\pi$
$368$	−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	−0.864319	−	0.502945i	$-0.832250\pi$
$373$	2.56142	−	11.2223i	0.132625	−	0.581068i	0.996944	−	0.0781237i	$-0.0248929\pi$
$374$	−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	−0.999532	−	0.0305914i	$-0.990261\pi$
$379$	−14.5482	+	18.2429i	−0.747291	+	0.937073i	0.252241	+	0.967664i	$0.418832\pi$
$380$	−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	0.395464	−	0.918481i	$-0.370584\pi$
$383$	−1.48862	−	0.716883i	−0.0760651	−	0.0366310i	−0.471530	+	0.881850i	$0.656298\pi$
$384$	−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	0.562217	+	0.826990i	$0.309949\pi$
$389$	−5.97887	+	26.1951i	−0.303141	+	1.32815i	−0.865357	+	0.501156i	$0.832908\pi$
$390$	−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	0.981545	−	0.191231i	$-0.0612481\pi$
$397$	11.4905	+	14.4087i	0.576694	+	0.723151i	−0.404851	+	0.914383i	$0.632677\pi$
$398$	−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	0.889480	+	0.456974i	$0.151067\pi$
$401$	−2.20650	+	9.66731i	−0.110187	+	0.482763i	−0.999667	+	0.0257885i	$0.991790\pi$
$402$	−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	0.967630	−	0.252374i	$-0.0812113\pi$
$409$	−0.276569	−	1.21173i	−0.0136754	−	0.0599160i	−0.981305	+	0.192458i	$0.938354\pi$
$410$	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	−0.206554	−	0.978435i	$-0.566225\pi$
$419$	8.79436	−	4.23514i	0.429633	−	0.206900i	0.636187	+	0.771535i	$0.280511\pi$
$420$	41.6007	+	52.1656i	2.02991	+	2.54542i
$421$	15.3317	−	7.38337i	0.747223	−	0.359844i	−0.0212090	−	0.999775i	$-0.506752\pi$
$421$	15.3317	−	7.38337i	0.747223	−	0.359844i	0.768432	+	0.639931i	$0.221037\pi$
$422$	−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	0.857301	+	0.514816i	$0.172140\pi$
$433$	6.41467	+	28.1045i	0.308270	+	1.35062i	−0.549031	+	0.835802i	$0.685003\pi$
$434$	−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	−0.461951	−	0.886905i	$-0.652850\pi$
$439$	−1.18511	+	0.570720i	−0.0565623	+	0.0272390i	0.405389	+	0.914144i	$0.367136\pi$
$440$	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	−0.386599	−	0.922248i	$-0.626350\pi$
$443$	12.5981	−	15.7975i	0.598553	−	0.750561i	0.985152	+	0.171687i	$0.0549217\pi$
$444$	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	0.363003	−	0.931788i	$-0.381752\pi$
$449$	−2.94896	−	1.42015i	−0.139170	−	0.0670208i	−0.502173	+	0.864767i	$0.667466\pi$
$450$	−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	0.885934	+	0.463812i	$0.153519\pi$
$457$	24.3913	+	30.5857i	1.14098	+	1.43074i	0.255044	+	0.966929i	$0.417910\pi$
$458$	−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	−0.995304	−	0.0967973i	$-0.969140\pi$
$461$	−1.21455	+	5.32130i	−0.0565673	+	0.247838i	0.938737	+	0.344635i	$0.111997\pi$
$462$	−6.04962	+	2.91334i	−0.281454	+	0.135541i
$463$	17.9245	+	22.4766i	0.833022	+	1.04458i	0.998297	+	0.0583287i	$0.0185771\pi$
$463$	17.9245	+	22.4766i	0.833022	+	1.04458i	−0.165276	+	0.986247i	$0.552851\pi$
$464$	−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	−0.955112	−	0.296245i	$-0.904265\pi$
$487$	0.749215	−	3.28253i	0.0339502	−	0.148745i	0.989062	+	0.147500i	$0.0471226\pi$
$488$	−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	0.748777	+	0.662822i	$0.230641\pi$
$491$	8.01562	+	35.1187i	0.361740	+	1.58489i	−0.387037	+	0.922064i	$0.626502\pi$
$492$	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	0.766808	−	0.641876i	$-0.221844\pi$
$499$	−0.661334	−	0.829287i	−0.0296054	−	0.0371240i	−0.796414	+	0.604752i	$0.793272\pi$
$500$	−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	−0.996501	−	0.0835766i	$-0.973366\pi$
$503$	−15.5486	+	19.4973i	−0.693278	+	0.869343i	0.303224	+	0.952919i	$0.401937\pi$
$504$	−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	−0.218497	+	0.975838i	$0.570115\pi$
$521$	−25.5930	+	32.0926i	−1.12125	+	1.40600i	−0.902751	+	0.430163i	$0.858456\pi$
$522$	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	0.979719	−	0.200374i	$-0.0642158\pi$
$541$	0.234538	+	1.02758i	0.0100836	+	0.0441791i	−0.969636	+	0.244553i	$0.921359\pi$
$542$	−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	−0.124766	−	0.992186i	$-0.539818\pi$
$547$	9.77942	−	42.8464i	0.418138	−	1.83198i	0.542904	−	0.839795i	$-0.317325\pi$
$548$	−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	−0.946278	−	0.323355i	$-0.895189\pi$
$557$	1.09950	−	4.81723i	0.0465873	−	0.204112i	0.992865	+	0.119242i	$0.0380465\pi$
$558$	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	−0.999096	−	0.0425071i	$-0.986466\pi$
$563$	−39.2753	−	18.9140i	−1.65526	−	0.797129i	−0.656160	−	0.754622i	$-0.727820\pi$
$564$	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	0.924244	−	0.381803i	$-0.124697\pi$
$569$	8.26172	+	10.3599i	0.346349	+	0.434308i	−0.577894	+	0.816112i	$0.696125\pi$
$570$	−151.569	+	72.9916i	−6.34851	+	3.05728i
$571$	4.50497	−	19.7376i	0.188527	−	0.825991i	−0.788867	−	0.614564i	$-0.789332\pi$
$571$	4.50497	−	19.7376i	0.188527	−	0.825991i	0.977394	−	0.211427i	$-0.0678110\pi$
$572$	−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	0.996120	−	0.0880106i	$-0.0280509\pi$
$577$	1.45231	+	6.36299i	0.0604605	+	0.264895i	−0.935659	+	0.352905i	$0.885194\pi$
$578$	−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	0.318525	−	0.947915i	$-0.396813\pi$
$587$	−5.42679	−	2.61340i	−0.223988	−	0.107867i	−0.542512	+	0.840048i	$0.682527\pi$
$588$	−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	−0.182071	−	0.983285i	$-0.558280\pi$
$593$	11.5225	−	5.54895i	0.473173	−	0.227868i	0.655244	+	0.755417i	$0.272566\pi$
$594$	−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	−0.999515	−	0.0311421i	$-0.990086\pi$
$599$	−2.75326	−	12.0628i	−0.112495	−	0.492873i	0.887020	−	0.461731i	$-0.152772\pi$
$600$	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	−0.117116	−	0.993118i	$-0.537365\pi$
$607$	21.6110	−	27.0993i	0.877163	−	1.09993i	0.994279	−	0.106810i	$-0.0340637\pi$
$608$	−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	−0.963949	−	0.266088i	$-0.914269\pi$
$613$	−33.5959	+	16.1789i	−1.35693	+	0.653461i	−0.392976	+	0.919549i	$0.628555\pi$
$614$	−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	0.360015	−	0.932946i	$-0.382772\pi$
$617$	−3.59989	−	1.73361i	−0.144926	−	0.0697927i	−0.504941	+	0.863154i	$0.668486\pi$
$618$	12.2994	+	15.4230i	0.494756	+	0.620405i
$619$	−4.36616	−	5.47499i	−0.175491	−	0.220058i	0.686305	−	0.727314i	$-0.259232\pi$
$619$	−4.36616	−	5.47499i	−0.175491	−	0.220058i	−0.861796	+	0.507255i	$0.830660\pi$
$620$	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	0.307498	+	0.951549i	$0.400508\pi$
$631$	−9.60602	+	42.0867i	−0.382410	+	1.67545i	−0.689907	+	0.723898i	$0.742349\pi$
$632$	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	0.935148	−	0.354257i	$-0.115266\pi$
$641$	31.4255	+	15.1337i	1.24123	+	0.597747i	0.306086	+	0.952004i	$0.400981\pi$
$642$	−8.73994	−	38.2922i	−0.344938	−	1.51127i
$643$	9.21078	−	40.3551i	0.363238	−	1.59145i	−0.381681	−	0.924294i	$-0.624655\pi$
$643$	9.21078	−	40.3551i	0.363238	−	1.59145i	0.744919	−	0.667155i	$-0.232488\pi$
$644$	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	−0.977887	−	0.209133i	$-0.932936\pi$
$647$	−0.155205	+	0.679999i	−0.00610175	+	0.0267335i	0.971785	+	0.235867i	$0.0757929\pi$
$648$	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	−0.207191	−	0.978301i	$-0.566432\pi$
$653$	20.2562	−	25.4005i	0.792686	−	0.993997i	0.999877	−	0.0156962i	$-0.00499646\pi$
$654$	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	−0.881307	−	0.472544i	$-0.843336\pi$
$659$	3.02282	−	13.2438i	0.117752	−	0.515906i	0.999059	−	0.0433625i	$-0.0138071\pi$
$660$	19.9722	+	9.61811i	0.777417	+	0.374384i
$661$	9.91591	+	12.4342i	0.385684	+	0.483632i	0.936337	−	0.351102i	$-0.114193\pi$
$661$	9.91591	+	12.4342i	0.385684	+	0.483632i	−0.550653	+	0.834734i	$0.685621\pi$
$662$	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	0.258738	−	0.965948i	$-0.416693\pi$
$673$	−8.69455	−	4.18708i	−0.335150	−	0.161400i	−0.593888	+	0.804548i	$0.702408\pi$
$674$	−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	−0.993712	−	0.111962i	$-0.964287\pi$
$677$	−39.6987	+	19.1179i	−1.52575	+	0.734761i	−0.532034	+	0.846723i	$0.678572\pi$
$678$	−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	−0.0944159	−	0.995533i	$-0.530098\pi$
$683$	23.4468	−	29.4013i	0.897166	−	1.12501i	0.991582	−	0.129478i	$-0.0413302\pi$
$684$	−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	0.830170	+	0.557511i	$0.188243\pi$
$691$	8.51977	+	37.3276i	0.324107	+	1.42001i	−0.506062	+	0.862497i	$0.668899\pi$
$692$	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	−0.614896	−	0.788608i	$-0.710802\pi$
$701$	7.69848	−	9.65358i	0.290767	−	0.364611i	0.905663	+	0.423997i	$0.139373\pi$
$702$	−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	−0.788521	−	0.615008i	$-0.789153\pi$
$709$	−9.18447	−	40.2398i	−0.344930	−	1.51124i	0.443591	−	0.896229i	$-0.353704\pi$
$710$	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	0.611426	+	0.791301i	$0.290596\pi$
$719$	−7.58258	+	33.2215i	−0.282783	+	1.23895i	−0.894209	+	0.447650i	$0.852261\pi$
$720$	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	0.936305	−	0.351187i	$-0.114222\pi$
$727$	33.5827	+	16.1726i	1.24551	+	0.599808i	0.309208	+	0.950994i	$0.399936\pi$
$728$	−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	−0.808192	−	0.588919i	$-0.799554\pi$
$733$	4.75111	−	20.8160i	0.175486	−	0.768856i	0.983678	−	0.179936i	$-0.0575892\pi$
$734$	−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	−0.0848895	−	0.996390i	$-0.527054\pi$
$739$	24.6131	−	30.8639i	0.905409	−	1.13535i	0.990298	−	0.138957i	$-0.0443748\pi$
$740$	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	−0.999957	−	0.00929333i	$-0.997042\pi$
$743$	−2.58937	+	11.3448i	−0.0949946	+	0.416199i	0.904962	+	0.425492i	$0.139899\pi$
$744$	−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	−0.678233	−	0.734847i	$-0.737254\pi$
$751$	−14.4305	+	6.94937i	−0.526577	+	0.253586i	0.151656	+	0.988433i	$0.451540\pi$
$752$	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	0.543669	−	0.839300i	$-0.317035\pi$
$757$	−10.8835	−	13.6474i	−0.395566	−	0.496024i	−0.939235	+	0.343276i	$0.888463\pi$
$758$	−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	−0.998014	−	0.0629914i	$-0.979936\pi$
$761$	−19.7110	+	24.7168i	−0.714523	+	0.895983i	0.283491	+	0.958975i	$0.408507\pi$
$762$	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	−0.971130	−	0.238552i	$-0.923327\pi$
$769$	−14.4883	+	18.1678i	−0.522462	+	0.655147i	0.448667	+	0.893699i	$0.351899\pi$
$770$	−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	0.132011	−	0.991248i	$-0.457857\pi$
$787$	29.9901	−	37.6064i	1.06903	−	1.34052i	0.937020	−	0.349275i	$-0.113572\pi$
$788$	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	0.0267046	−	0.999643i	$-0.491499\pi$
$797$	23.2881	−	11.2150i	0.824907	−	0.397254i	0.798203	+	0.602389i	$0.205784\pi$
$798$	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	−0.751644	−	0.659569i	$-0.770739\pi$
$809$	1.66801	−	2.09162i	0.0586442	−	0.0735375i	0.810289	+	0.586031i	$0.199310\pi$
$810$	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	0.781902	−	0.623401i	$-0.214250\pi$
$821$	22.4072	+	10.7907i	0.782015	+	0.376599i	0.000113299		1.00000i	$0.499964\pi$
$822$	−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	0.751446	−	0.659794i	$-0.229357\pi$
$827$	−1.69722	−	2.12825i	−0.0590182	−	0.0740065i	−0.810464	+	0.585788i	$0.800785\pi$
$828$	−45.9717	+	22.1388i	−1.59763	+	0.769377i
$829$	−0.773122	+	3.38727i	−0.0268516	+	0.117645i	−0.986578	−	0.163293i	$-0.947788\pi$
$829$	−0.773122	+	3.38727i	−0.0268516	+	0.117645i	0.959726	+	0.280938i	$0.0906455\pi$
$830$	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	0.945031	−	0.326980i	$-0.106031\pi$
$839$	−1.39857	−	6.12752i	−0.0482839	−	0.211546i	−0.993315	+	0.115435i	$0.963174\pi$
$840$	−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	0.976337	+	0.216254i	$0.0693840\pi$
$857$	5.57730	+	24.4358i	0.190517	+	0.834709i	−0.785820	+	0.618455i	$0.787759\pi$
$858$	−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	0.973310	−	0.229493i	$-0.0737069\pi$
$863$	−0.0935780	−	0.409992i	−0.00318543	−	0.0139563i	−0.976496	+	0.215537i	$0.930850\pi$
$864$	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	0.643092	−	0.765789i	$-0.277651\pi$
$877$	−7.30283	−	9.15746i	−0.246599	−	0.309225i	−0.889691	+	0.456564i	$0.849080\pi$
$878$	−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	−0.982868	−	0.184310i	$-0.940995\pi$
$881$	−5.26267	−	23.0573i	−0.177304	−	0.776819i	0.805564	−	0.592508i	$-0.201862\pi$
$882$	5.69877	+	24.9679i	0.191887	+	0.840714i
$883$	−2.33116	+	1.12263i	−0.0784499	+	0.0377795i	−0.472697	−	0.881225i	$-0.656720\pi$
$883$	−2.33116	+	1.12263i	−0.0784499	+	0.0377795i	0.394247	+	0.919004i	$0.371005\pi$
$884$	−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	0.839918	−	0.542713i	$-0.182603\pi$
$887$	3.69046	+	4.62769i	0.123913	+	0.155383i	−0.716005	+	0.698095i	$0.754031\pi$
$888$	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	0.889364	−	0.457200i	$-0.151148\pi$
$907$	32.7191	+	15.7567i	1.08642	+	0.523192i	0.197056	+	0.980392i	$0.436862\pi$
$908$	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	−0.708346	−	0.705865i	$-0.750558\pi$
$911$	4.14843	−	5.20196i	0.137443	−	0.172349i	0.845790	+	0.533517i	$0.179130\pi$
$912$	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	0.310470	−	0.950583i	$-0.399513\pi$
$919$	−20.7769	−	26.0534i	−0.685366	−	0.859421i	−0.995836	+	0.0911617i	$0.970942\pi$
$920$	−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	0.934590	+	0.355725i	$0.115766\pi$
$929$	32.7176	+	41.0266i	1.07343	+	1.34604i	0.138841	+	0.990315i	$0.455662\pi$
$930$	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	0.529323	−	0.848420i	$-0.322446\pi$
$937$	46.6097	−	22.4460i	1.52267	−	0.733280i	0.993349	+	0.115140i	$0.0367317\pi$
$938$	−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	−0.984652	−	0.174530i	$-0.944159\pi$
$941$	−18.2641	+	22.9024i	−0.595392	+	0.746598i	0.389260	+	0.921128i	$0.372731\pi$
$942$	−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	0.999155	−	0.0411124i	$-0.0130902\pi$
$967$	2.52223	+	11.0506i	0.0811094	+	0.355364i	−0.918045	+	0.396476i	$0.870233\pi$
$968$	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	0.921636	+	0.388055i	$0.126853\pi$
$971$	8.09065	+	35.4475i	0.259641	+	1.13756i	−0.661995	+	0.749508i	$0.730290\pi$
$972$	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	0.771486	+	0.636247i	$0.219514\pi$
$977$	−6.24065	+	27.3421i	−0.199656	+	0.874750i	−0.971142	+	0.238503i	$0.923343\pi$
$978$	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	−0.722673	−	0.691190i	$-0.757087\pi$
$991$	7.18783	−	31.4919i	0.228329	−	1.00037i	0.951002	−	0.309184i	$-0.100056\pi$
$992$	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	−0.617346	−	0.786692i	$-0.711792\pi$
$997$	9.06195	−	11.3633i	0.286995	−	0.359880i	0.904340	+	0.426812i	$0.140363\pi$
$998$	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.35.4	✓	180
43.16	even	7	inner	731.2.k.a.188.4	yes	180

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
731.2.k.a.35.4	✓	180	1.1	even	1	trivial
731.2.k.a.188.4	yes	180	43.16	even	7	inner

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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