LMFDB - Embedded newform 108.3.j.a.7.14

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [108,3,Mod(7,108)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(108, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([9, 16]))

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

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

chi := DirichletCharacter("108.7");

S:= CuspForms(chi, 3);

N := Newforms(S);

Level:	$ N $	$=$	$ 108 = 2^{2} \cdot 3^{3} $
Weight:	$ k $	$=$	$ 3 $
Character orbit:	$[\chi]$	$=$	108.j (of order $18$, 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:	$2.94278685509$
Analytic rank:	$0$
Dimension:	$204$
Relative dimension:	$34$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			7.14
Character	$\chi$	$=$	108.7
Dual form			108.3.j.a.31.14

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.974385 - 1.74659i) q^{2} +(-0.586935 + 2.94202i) q^{3} +(-2.10115 + 3.40370i) q^{4} +(-1.26933 - 7.19876i) q^{5} +(5.71041 - 1.84153i) q^{6} +(-2.67622 + 3.18940i) q^{7} +(7.99219 + 0.353324i) q^{8} +(-8.31101 - 3.45355i) q^{9} +O(q^{10})$	\(q+(-0.974385 - 1.74659i) q^{2} +(-0.586935 + 2.94202i) q^{3} +(-2.10115 + 3.40370i) q^{4} +(-1.26933 - 7.19876i) q^{5} +(5.71041 - 1.84153i) q^{6} +(-2.67622 + 3.18940i) q^{7} +(7.99219 + 0.353324i) q^{8} +(-8.31101 - 3.45355i) q^{9} +(-11.3364 + 9.23137i) q^{10} +(-18.4141 - 3.24691i) q^{11} +(-8.78054 - 8.17938i) q^{12} +(-15.1228 - 5.50426i) q^{13} +(8.17823 + 1.56656i) q^{14} +(21.9239 + 0.490788i) q^{15} +(-7.17036 - 14.3034i) q^{16} +(7.49839 + 12.9876i) q^{17} +(2.06619 + 17.8810i) q^{18} +(0.338254 + 0.195291i) q^{19} +(27.1695 + 10.8052i) q^{20} +(-7.81251 - 9.74547i) q^{21} +(12.2714 + 35.3257i) q^{22} +(-10.6620 - 12.7065i) q^{23} +(-5.73039 + 23.3059i) q^{24} +(-26.7186 + 9.72476i) q^{25} +(5.12179 + 31.7767i) q^{26} +(15.0385 - 22.4242i) q^{27} +(-5.23262 - 15.8104i) q^{28} +(36.9589 - 13.4520i) q^{29} +(-20.5052 - 38.7703i) q^{30} +(14.0094 + 16.6957i) q^{31} +(-17.9954 + 26.4607i) q^{32} +(20.3604 - 52.2691i) q^{33} +(15.3777 - 25.7515i) q^{34} +(26.3567 + 15.2170i) q^{35} +(29.2175 - 21.0318i) q^{36} +(5.57476 + 9.65577i) q^{37} +(0.0115035 - 0.781080i) q^{38} +(25.0698 - 41.2611i) q^{39} +(-7.60128 - 57.9823i) q^{40} +(-56.8435 - 20.6894i) q^{41} +(-9.40894 + 23.1411i) q^{42} +(-24.4766 - 4.31589i) q^{43} +(49.7423 - 55.8540i) q^{44} +(-14.3118 + 64.2127i) q^{45} +(-11.8041 + 31.0032i) q^{46} +(14.6599 - 17.4709i) q^{47} +(46.2893 - 12.7002i) q^{48} +(5.49867 + 31.1845i) q^{49} +(43.0193 + 37.1907i) q^{50} +(-42.6109 + 14.4376i) q^{51} +(50.5102 - 39.9084i) q^{52} +51.2309 q^{53} +(-53.8191 - 4.41622i) q^{54} +136.680i q^{55} +(-22.5158 + 24.5447i) q^{56} +(-0.773085 + 0.880529i) q^{57} +(-59.5073 - 51.4447i) q^{58} +(-82.3895 + 14.5275i) q^{59} +(-47.7359 + 73.5913i) q^{60} +(19.0252 + 15.9640i) q^{61} +(15.5101 - 40.7367i) q^{62} +(33.2569 - 17.2646i) q^{63} +(63.7503 + 5.64767i) q^{64} +(-20.4279 + 115.852i) q^{65} +(-111.131 + 15.3690i) q^{66} +(17.9869 - 49.4186i) q^{67} +(-59.9611 - 1.76656i) q^{68} +(43.6407 - 23.9100i) q^{69} +(0.896351 - 60.8616i) q^{70} +(-75.5843 + 43.6386i) q^{71} +(-65.2030 - 30.5380i) q^{72} +(17.8942 - 30.9937i) q^{73} +(11.4327 - 19.1453i) q^{74} +(-12.9284 - 84.3145i) q^{75} +(-1.37543 + 0.740981i) q^{76} +(59.6359 - 50.0405i) q^{77} +(-96.4939 - 3.58242i) q^{78} +(3.59582 + 9.87943i) q^{79} +(-93.8648 + 69.7734i) q^{80} +(57.1459 + 57.4051i) q^{81} +(19.2517 + 119.442i) q^{82} +(-34.4827 - 94.7405i) q^{83} +(49.5859 - 6.11478i) q^{84} +(83.9766 - 70.4647i) q^{85} +(16.3116 + 46.9559i) q^{86} +(17.8835 + 116.630i) q^{87} +(-146.022 - 32.4561i) q^{88} +(-7.29925 + 12.6427i) q^{89} +(126.098 - 37.5710i) q^{90} +(58.0273 - 33.5021i) q^{91} +(65.6516 - 9.59210i) q^{92} +(-57.3419 + 31.4166i) q^{93} +(-44.7989 - 8.58133i) q^{94} +(0.976496 - 2.68290i) q^{95} +(-67.2858 - 68.4735i) q^{96} +(-1.45511 + 8.25233i) q^{97} +(49.1087 - 39.9897i) q^{98} +(141.827 + 90.5793i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	$ 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) $ 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/108\mathbb{Z}\right)^\times$.

$n$	$29$	$55$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$-1$

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 $

$2$	−0.974385	−	1.74659i	−0.487193	−	0.873295i
$2$	−0.974385	−	1.74659i	−0.487193	−	0.873295i
$3$	−0.586935	+	2.94202i	−0.195645	+	0.980675i
$3$	−0.586935	+	2.94202i	−0.195645	+	0.980675i
$4$	−2.10115	+	3.40370i	−0.525287	+	0.850925i
$5$	−1.26933	−	7.19876i	−0.253867	−	1.43975i	−0.798964	−	0.601378i	$-0.794618\pi$
$5$	−1.26933	−	7.19876i	−0.253867	−	1.43975i	0.545097	−	0.838373i	$-0.316493\pi$
$6$	5.71041	−	1.84153i	0.951735	−	0.306922i
$7$	−2.67622	+	3.18940i	−0.382317	+	0.455628i	−0.922544	−	0.385891i	$-0.873894\pi$
$7$	−2.67622	+	3.18940i	−0.382317	+	0.455628i	0.540227	+	0.841519i	$0.318338\pi$
$8$	7.99219	+	0.353324i	0.999024	+	0.0441655i
$9$	−8.31101	−	3.45355i	−0.923446	−	0.383728i
$10$	−11.3364	+	9.23137i	−1.13364	+	0.923137i
$11$	−18.4141	−	3.24691i	−1.67401	−	0.295173i	−0.745508	−	0.666497i	$-0.767793\pi$
$11$	−18.4141	−	3.24691i	−1.67401	−	0.295173i	−0.928504	+	0.371323i	$0.878904\pi$
$12$	−8.78054	−	8.17938i	−0.731711	−	0.681615i
$13$	−15.1228	−	5.50426i	−1.16330	−	0.423405i	−0.313022	−	0.949746i	$-0.601341\pi$
$13$	−15.1228	−	5.50426i	−1.16330	−	0.423405i	−0.850274	+	0.526341i	$0.823564\pi$
$14$	8.17823	+	1.56656i	0.584160	+	0.111897i
$15$	21.9239	+	0.490788i	1.46160	+	0.0327192i
$16$	−7.17036	−	14.3034i	−0.448148	−	0.893960i
$17$	7.49839	+	12.9876i	0.441082	+	0.763976i	0.997770	−	0.0667452i	$-0.0212615\pi$
$17$	7.49839	+	12.9876i	0.441082	+	0.763976i	−0.556688	+	0.830722i	$0.687928\pi$
$18$	2.06619	+	17.8810i	0.114788	+	0.993390i
$19$	0.338254	+	0.195291i	0.0178029	+	0.0102785i	0.508875	−	0.860840i	$-0.330062\pi$
$19$	0.338254	+	0.195291i	0.0178029	+	0.0102785i	−0.491072	+	0.871119i	$0.663395\pi$
$20$	27.1695	+	10.8052i	1.35847	+	0.540260i
$21$	−7.81251	−	9.74547i	−0.372024	−	0.464070i
$22$	12.2714	+	35.3257i	0.557793	+	1.60571i
$23$	−10.6620	−	12.7065i	−0.463566	−	0.552456i	0.482725	−	0.875772i	$-0.339647\pi$
$23$	−10.6620	−	12.7065i	−0.463566	−	0.552456i	−0.946291	+	0.323316i	$0.895202\pi$
$24$	−5.73039	+	23.3059i	−0.238766	+	0.971077i
$25$	−26.7186	+	9.72476i	−1.06874	+	0.388990i
$26$	5.12179	+	31.7767i	0.196992	+	1.22218i
$27$	15.0385	−	22.4242i	0.556980	−	0.830526i
$28$	−5.23262	−	15.8104i	−0.186879	−	0.564659i
$29$	36.9589	−	13.4520i	1.27445	−	0.463861i	0.385855	−	0.922560i	$-0.373907\pi$
$29$	36.9589	−	13.4520i	1.27445	−	0.463861i	0.888592	+	0.458699i	$0.151684\pi$
$30$	−20.5052	−	38.7703i	−0.683505	−	1.29234i
$31$	14.0094	+	16.6957i	0.451916	+	0.538572i	0.943111	−	0.332477i	$-0.107884\pi$
$31$	14.0094	+	16.6957i	0.451916	+	0.538572i	−0.491196	+	0.871049i	$0.663440\pi$
$32$	−17.9954	+	26.4607i	−0.562356	+	0.826895i
$33$	20.3604	−	52.2691i	0.616981	−	1.58391i
$34$	15.3777	−	25.7515i	0.452285	−	0.757398i
$35$	26.3567	+	15.2170i	0.753049	+	0.434773i
$36$	29.2175	−	21.0318i	0.811598	−	0.584216i
$37$	5.57476	+	9.65577i	0.150669	+	0.260967i	0.931474	−	0.363809i	$-0.118524\pi$
$37$	5.57476	+	9.65577i	0.150669	+	0.260967i	−0.780804	+	0.624776i	$0.785190\pi$
$38$	0.0115035	−	0.781080i	0.000302724	−	0.0205547i
$39$	25.0698	−	41.2611i	0.642815	−	1.05798i
$40$	−7.60128	−	57.9823i	−0.190032	−	1.44956i
$41$	−56.8435	−	20.6894i	−1.38643	−	0.504618i	−0.462307	−	0.886720i	$-0.652978\pi$
$41$	−56.8435	−	20.6894i	−1.38643	−	0.504618i	−0.924120	+	0.382101i	$0.875200\pi$
$42$	−9.40894	+	23.1411i	−0.224022	+	0.550978i
$43$	−24.4766	−	4.31589i	−0.569224	−	0.100369i	−0.118374	−	0.992969i	$-0.537768\pi$
$43$	−24.4766	−	4.31589i	−0.569224	−	0.100369i	−0.450850	+	0.892600i	$0.648879\pi$
$44$	49.7423	−	55.8540i	1.13051	−	1.26941i
$45$	−14.3118	+	64.2127i	−0.318041	+	1.42695i
$46$	−11.8041	+	31.0032i	−0.256611	+	0.673982i
$47$	14.6599	−	17.4709i	0.311912	−	0.371722i	−0.587199	−	0.809442i	$-0.699769\pi$
$47$	14.6599	−	17.4709i	0.311912	−	0.371722i	0.899111	+	0.437720i	$0.144214\pi$
$48$	46.2893	−	12.7002i	0.964361	−	0.264588i
$49$	5.49867	+	31.1845i	0.112218	+	0.636419i
$50$	43.0193	+	37.1907i	0.860387	+	0.743814i
$51$	−42.6109	+	14.4376i	−0.835508	+	0.283090i
$52$	50.5102	−	39.9084i	0.971350	−	0.767469i
$53$	51.2309			0.966621			0.483310	−	0.875449i	$-0.339434\pi$
$53$	51.2309			0.966621			0.483310	+	0.875449i	$0.339434\pi$
$54$	−53.8191	−	4.41622i	−0.996650	−	0.0817818i
$55$			136.680i			2.48510i
$56$	−22.5158	+	24.5447i	−0.402067	+	0.438298i
$57$	−0.773085	+	0.880529i	−0.0135629	+	0.0154479i
$58$	−59.5073	−	51.4447i	−1.02599	−	0.886978i
$59$	−82.3895	+	14.5275i	−1.39643	+	0.246229i	−0.820676	−	0.571394i	$-0.806403\pi$
$59$	−82.3895	+	14.5275i	−1.39643	+	0.246229i	−0.575755	+	0.817622i	$0.695292\pi$
$60$	−47.7359	+	73.5913i	−0.795598	+	1.22652i
$61$	19.0252	+	15.9640i	0.311888	+	0.261705i	0.785272	−	0.619151i	$-0.212523\pi$
$61$	19.0252	+	15.9640i	0.311888	+	0.261705i	−0.473384	+	0.880856i	$0.656968\pi$
$62$	15.5101	−	40.7367i	0.250162	−	0.657044i
$63$	33.2569	−	17.2646i	0.527887	−	0.274042i
$64$	63.7503	+	5.64767i	0.996099	+	0.0882448i
$65$	−20.4279	+	115.852i	−0.314275	+	1.78234i
$66$	−111.131	+	15.3690i	−1.68381	+	0.232864i
$67$	17.9869	−	49.4186i	0.268461	−	0.737592i	−0.730068	−	0.683375i	$-0.760512\pi$
$67$	17.9869	−	49.4186i	0.268461	−	0.737592i	0.998529	−	0.0542169i	$-0.0172663\pi$
$68$	−59.9611	−	1.76656i	−0.881781	−	0.0259789i
$69$	43.6407	−	23.9100i	0.632474	−	0.346522i
$70$	0.896351	−	60.8616i	0.0128050	−	0.869451i
$71$	−75.5843	+	43.6386i	−1.06457	+	0.614628i	−0.926692	−	0.375821i	$-0.877361\pi$
$71$	−75.5843	+	43.6386i	−1.06457	+	0.614628i	−0.137875	+	0.990450i	$0.544027\pi$
$72$	−65.2030	−	30.5380i	−0.905597	−	0.424138i
$73$	17.8942	−	30.9937i	0.245127	−	0.424572i	−0.717041	−	0.697031i	$-0.754504\pi$
$73$	17.8942	−	30.9937i	0.245127	−	0.424572i	0.962167	+	0.272460i	$0.0878372\pi$
$74$	11.4327	−	19.1453i	0.154496	−	0.258720i
$75$	−12.9284	−	84.3145i	−0.172379	−	1.12419i
$76$	−1.37543	+	0.740981i	−0.0180978	+	0.00974975i
$77$	59.6359	−	50.0405i	0.774493	−	0.649877i
$78$	−96.4939	−	3.58242i	−1.23710	−	0.0459284i
$79$	3.59582	+	9.87943i	0.0455167	+	0.125056i	0.960368	−	0.278734i	$-0.0899148\pi$
$79$	3.59582	+	9.87943i	0.0455167	+	0.125056i	−0.914852	+	0.403790i	$0.867693\pi$
$80$	−93.8648	+	69.7734i	−1.17331	+	0.872168i
$81$	57.1459	+	57.4051i	0.705505	+	0.708705i
$82$	19.2517	+	119.442i	0.234777	+	1.45661i
$83$	−34.4827	−	94.7405i	−0.415455	−	1.14145i	−0.954249	−	0.299015i	$-0.903342\pi$
$83$	−34.4827	−	94.7405i	−0.415455	−	1.14145i	0.538794	−	0.842438i	$-0.318880\pi$
$84$	49.5859	−	6.11478i	0.590309	−	0.0727950i
$85$	83.9766	−	70.4647i	0.987960	−	0.828997i
$86$	16.3116	+	46.9559i	0.189669	+	0.545999i
$87$	17.8835	+	116.630i	0.205557	+	1.34057i
$88$	−146.022	−	32.4561i	−1.65934	−	0.368819i
$89$	−7.29925	+	12.6427i	−0.0820141	+	0.142053i	−0.904115	−	0.427289i	$-0.859469\pi$
$89$	−7.29925	+	12.6427i	−0.0820141	+	0.142053i	0.822101	+	0.569342i	$0.192802\pi$
$90$	126.098	−	37.5710i	1.40109	−	0.417456i
$91$	58.0273	−	33.5021i	0.637663	−	0.368155i
$92$	65.6516	−	9.59210i	0.713604	−	0.104262i
$93$	−57.3419	+	31.4166i	−0.616579	+	0.337813i
$94$	−44.7989	−	8.58133i	−0.476584	−	0.0912907i
$95$	0.976496	−	2.68290i	0.0102789	−	0.0282411i
$96$	−67.2858	−	68.4735i	−0.700893	−	0.713266i
$97$	−1.45511	+	8.25233i	−0.0150011	+	0.0850755i	−0.991389	−	0.130948i	$-0.958198\pi$
$97$	−1.45511	+	8.25233i	−0.0150011	+	0.0850755i	0.976388	+	0.216024i	$0.0693089\pi$
$98$	49.1087	−	39.9897i	0.501109	−	0.408058i
$99$	141.827	+	90.5793i	1.43259	+	0.914942i
$100$	23.0394	−	111.375i	0.230394	−	1.11375i
$101$	−110.882	−	93.0413i	−1.09784	−	0.921201i	−0.100567	−	0.994930i	$-0.532066\pi$
$101$	−110.882	−	93.0413i	−1.09784	−	0.921201i	−0.997278	+	0.0737291i	$0.976510\pi$
$102$	66.7360	+	60.3560i	0.654274	+	0.591725i
$103$	3.58880	−	0.632802i	0.0348427	−	0.00614371i	−0.156200	−	0.987726i	$-0.549924\pi$
$103$	3.58880	−	0.632802i	0.0348427	−	0.00614371i	0.191042	+	0.981582i	$0.438813\pi$
$104$	−118.920	−	49.3344i	−1.14346	−	0.474369i
$105$	−60.2386	+	68.6106i	−0.573701	+	0.653435i
$106$	−49.9186	−	89.4793i	−0.470931	−	0.844145i
$107$		−	118.520i		−	1.10766i	−0.832629	−	0.553831i	$-0.813165\pi$
$107$		−	118.520i		−	1.10766i	0.832629	−	0.553831i	$-0.186835\pi$
$108$	44.7272	+	98.3030i	0.414141	+	0.910213i
$109$	−209.035			−1.91775			−0.958874	−	0.283830i	$-0.908395\pi$
$109$	−209.035			−1.91775			−0.958874	+	0.283830i	$0.908395\pi$
$110$	238.724	−	133.179i	2.17022	−	1.21072i
$111$	−31.6795	+	10.7338i	−0.285401	+	0.0967007i
$112$	64.8085	+	15.4098i	0.578648	+	0.137588i
$113$	−19.3433	−	109.701i	−0.171180	−	0.970810i	−0.942461	−	0.334315i	$-0.891495\pi$
$113$	−19.3433	−	109.701i	−0.171180	−	0.970810i	0.771281	−	0.636494i	$-0.219616\pi$
$114$	2.29121	+	0.492287i	0.0200983	+	0.00431831i
$115$	−77.9373	+	92.8820i	−0.677715	+	0.807670i
$116$	−31.8697	+	154.062i	−0.274739	+	1.32812i
$117$	106.677	+	97.9736i	0.911768	+	0.837381i
$118$	105.653	+	129.745i	0.895361	+	1.09954i
$119$	−61.4899	−	10.8423i	−0.516722	−	0.0911121i
$120$	175.047	+	11.6687i	1.45872	+	0.0972394i
$121$	214.835	+	78.1935i	1.77549	+	0.646227i
$122$	9.34474	−	48.7843i	0.0765962	−	0.399871i
$123$	94.2320	−	155.092i	0.766114	−	1.26091i
$124$	−86.2631	+	12.6036i	−0.695670	+	0.101642i
$125$	12.5484	+	21.7345i	0.100387	+	0.173876i
$126$	−62.5592	−	41.2637i	−0.496502	−	0.327489i
$127$	−9.25406	−	5.34284i	−0.0728666	−	0.0420696i	0.463124	−	0.886293i	$-0.346728\pi$
$127$	−9.25406	−	5.34284i	−0.0728666	−	0.0420696i	−0.535991	+	0.844224i	$0.680062\pi$
$128$	−52.2532	−	116.849i	−0.408228	−	0.912880i
$129$	27.0636	−	69.4777i	0.209796	−	0.538586i
$130$	222.251	−	77.2057i	1.70962	−	0.593890i
$131$	41.0569	+	48.9297i	0.313411	+	0.373509i	0.899637	−	0.436639i	$-0.143831\pi$
$131$	41.0569	+	48.9297i	0.313411	+	0.373509i	−0.586226	+	0.810148i	$0.699387\pi$
$132$	135.128	+	179.126i	1.02370	+	1.35701i
$133$	−1.52810	+	0.556184i	−0.0114895	+	0.00418184i
$134$	−103.840	+	16.7370i	−0.774927	+	0.124903i
$135$	−180.515	−	79.7944i	−1.33715	−	0.591070i
$136$	55.3398	+	106.449i	0.406910	+	0.782712i
$137$	−179.780	+	65.4345i	−1.31226	+	0.477624i	−0.900971	−	0.433880i	$-0.857144\pi$
$137$	−179.780	+	65.4345i	−1.31226	+	0.477624i	−0.411291	+	0.911504i	$0.634922\pi$
$138$	−84.2838	−	52.9248i	−0.610753	−	0.383513i
$139$	89.1108	+	106.198i	0.641085	+	0.764015i	0.984541	−	0.175153i	$-0.0560421\pi$
$139$	89.1108	+	106.198i	0.641085	+	0.764015i	−0.343456	+	0.939169i	$0.611598\pi$
$140$	−107.174	+	57.7371i	−0.765526	+	0.412408i
$141$	42.7956	+	53.3840i	0.303515	+	0.378610i
$142$	149.867	+	89.4939i	1.05540	+	0.630239i
$143$	260.602	+	150.459i	1.82239	+	1.05216i
$144$	10.1956	+	143.639i	0.0708027	+	0.997490i
$145$	−143.751	−	248.983i	−0.991384	−	1.71713i
$146$	−71.5692	−	1.05405i	−0.490200	−	0.00721951i
$147$	−94.9730	−	2.12606i	−0.646075	−	0.0144630i
$148$	−44.5788	−	1.31337i	−0.301208	−	0.00887412i
$149$	56.2932	+	20.4890i	0.377806	+	0.137510i	0.523941	−	0.851754i	$-0.324461\pi$
$149$	56.2932	+	20.4890i	0.377806	+	0.137510i	−0.146135	+	0.989265i	$0.546683\pi$
$150$	−134.665	+	104.735i	−0.897770	+	0.698236i
$151$	−69.7855	−	12.3051i	−0.462156	−	0.0814905i	−0.0622775	−	0.998059i	$-0.519836\pi$
$151$	−69.7855	−	12.3051i	−0.462156	−	0.0814905i	−0.399878	+	0.916568i	$0.630948\pi$
$152$	2.63439	+	1.68032i	0.0173315	+	0.0110547i
$153$	−17.4659	−	133.836i	−0.114156	−	0.874747i
$154$	−145.509	−	55.4008i	−0.944861	−	0.359745i
$155$	102.406	−	122.043i	0.660683	−	0.787372i
$156$	87.7652	+	172.026i	0.562597	+	1.10273i
$157$	−11.9033	−	67.5070i	−0.0758172	−	0.429981i	−0.998963	−	0.0455306i	$-0.985502\pi$
$157$	−11.9033	−	67.5070i	−0.0758172	−	0.429981i	0.923146	−	0.384450i	$-0.125609\pi$
$158$	13.7516	−	15.9068i	0.0870354	−	0.100676i
$159$	−30.0692	+	150.723i	−0.189115	+	0.947941i
$160$	213.326	+	95.9569i	1.33329	+	0.599731i
$161$	69.0599			0.428944
$162$	44.5809	−	155.745i	0.275191	−	0.961390i
$163$		−	166.784i		−	1.02321i	−0.859220	−	0.511606i	$-0.829051\pi$
$163$		−	166.784i		−	1.02321i	0.859220	−	0.511606i	$-0.170949\pi$
$164$	189.857	−	150.007i	1.15766	−	0.914677i
$165$	−402.117	−	80.2224i	−2.43707	−	0.486196i
$166$	−131.873	+	152.541i	−0.794418	+	0.918921i
$167$	77.6761	−	13.6964i	0.465126	−	0.0820143i	0.0638264	−	0.997961i	$-0.479670\pi$
$167$	77.6761	−	13.6964i	0.465126	−	0.0820143i	0.401300	+	0.915947i	$0.368559\pi$
$168$	−58.9958	−	80.6481i	−0.351165	−	0.480048i
$169$	68.9419	+	57.8491i	0.407940	+	0.342302i
$170$	−204.898	−	78.0128i	−1.20529	−	0.458899i
$171$	−2.13679	−	2.79125i	−0.0124958	−	0.0163231i
$172$	66.1190	−	74.2428i	0.384413	−	0.431644i
$173$	−14.3748	+	81.5234i	−0.0830912	+	0.471233i	0.914661	+	0.404222i	$0.132458\pi$
$173$	−14.3748	+	81.5234i	−0.0830912	+	0.471233i	−0.997752	+	0.0670117i	$0.978654\pi$
$174$	186.278	−	144.877i	1.07057	−	0.832628i
$175$	40.4887	−	111.242i	0.231364	−	0.635667i
$176$	85.5943	+	286.665i	0.486331	+	1.62878i
$177$	5.61704	−	250.918i	0.0317347	−	1.41762i
$178$	29.1939	+	0.429958i	0.164010	+	0.00241550i
$179$	−46.3255	+	26.7460i	−0.258801	+	0.149419i	−0.623788	−	0.781594i	$-0.714407\pi$
$179$	−46.3255	+	26.7460i	−0.258801	+	0.149419i	0.364986	+	0.931013i	$0.381074\pi$
$180$	−188.490	−	183.633i	−1.04716	−	1.02019i
$181$	32.4491	−	56.2035i	0.179277	−	0.310516i	−0.762356	−	0.647158i	$-0.775958\pi$
$181$	32.4491	−	56.2035i	0.179277	−	0.310516i	0.941633	+	0.336641i	$0.109291\pi$
$182$	−115.055	−	68.7060i	−0.632172	−	0.377505i
$183$	−58.1331	+	46.6027i	−0.317667	+	0.254660i
$184$	−80.7234	−	105.320i	−0.438714	−	0.572391i
$185$	62.4333	−	52.3878i	0.337477	−	0.283177i
$186$	110.745	+	69.5408i	0.595403	+	0.373875i
$187$	−95.9068	−	263.502i	−0.512871	−	1.40910i
$188$	28.6634	+	86.6068i	0.152465	+	0.460675i
$189$	31.2734	+	107.976i	0.165468	+	0.571300i
$190$	−5.63741	+	0.908641i	−0.0296706	+	0.00478232i
$191$	72.7756	+	199.949i	0.381024	+	1.04685i	0.970926	+	0.239380i	$0.0769442\pi$
$191$	72.7756	+	199.949i	0.381024	+	1.04685i	−0.589902	+	0.807475i	$0.700834\pi$
$192$	−54.0329	+	184.240i	−0.281421	+	0.959584i
$193$	−11.4584	+	9.61478i	−0.0593702	+	0.0498175i	−0.671990	−	0.740560i	$-0.734560\pi$
$193$	−11.4584	+	9.61478i	−0.0593702	+	0.0498175i	0.612620	+	0.790378i	$0.290116\pi$
$194$	15.8313	−	5.49947i	0.0816044	−	0.0283478i
$195$	−328.851	−	128.097i	−1.68641	−	0.656909i
$196$	−117.696	−	46.8074i	−0.600492	−	0.238813i
$197$	−34.4522	+	59.6729i	−0.174884	+	0.302908i	−0.940121	−	0.340840i	$-0.889288\pi$
$197$	−34.4522	+	59.6729i	−0.174884	+	0.302908i	0.765237	+	0.643749i	$0.222622\pi$
$198$	20.0109	−	335.972i	0.101065	−	1.69683i
$199$	47.7506	−	27.5688i	0.239953	−	0.138537i	−0.375202	−	0.926943i	$-0.622427\pi$
$199$	47.7506	−	27.5688i	0.239953	−	0.138537i	0.615155	+	0.788406i	$0.289093\pi$
$200$	−216.976	+	68.2819i	−1.08488	+	0.341409i
$201$	134.834	+	81.9235i	0.670814	+	0.407579i
$202$	−54.4629	+	284.324i	−0.269618	+	1.40754i
$203$	−56.0067	+	153.877i	−0.275895	+	0.758015i
$204$	40.3906	−	175.370i	0.197993	−	0.859658i
$205$	−76.7841	+	435.464i	−0.374557	+	2.12422i
$206$	−4.60212	−	5.65156i	−0.0223404	−	0.0274348i
$207$	44.7296	+	142.426i	0.216085	+	0.688047i
$208$	29.7068	+	255.775i	0.142821	+	1.22969i
$209$	−5.59457	−	4.69440i	−0.0267683	−	0.0224612i
$210$	178.530	+	38.3589i	0.850144	+	0.182661i
$211$	−162.329	+	28.6229i	−0.769331	+	0.135654i	−0.544519	−	0.838748i	$-0.683288\pi$
$211$	−162.329	+	28.6229i	−0.769331	+	0.135654i	−0.224812	+	0.974402i	$0.572177\pi$
$212$	−107.644	+	174.375i	−0.507753	+	0.822522i
$213$	−84.0228	−	247.984i	−0.394473	−	1.16424i
$214$	−207.006	+	115.484i	−0.967316	+	0.539645i
$215$			181.680i			0.845021i
$216$	128.113	−	173.905i	0.593117	−	0.805116i
$217$	−90.7415			−0.418164
$218$	203.680	+	365.098i	0.934313	+	1.67476i
$219$	80.6815	+	70.8366i	0.368409	+	0.323455i
$220$	−465.219	−	287.185i	−2.11463	−	1.30539i
$221$	−41.9098	−	237.683i	−0.189637	−	1.07549i
$222$	49.6156	+	44.8723i	0.223494	+	0.202127i
$223$	245.531	−	292.613i	1.10104	−	1.31217i	0.155071	−	0.987903i	$-0.450439\pi$
$223$	245.531	−	292.613i	1.10104	−	1.31217i	0.945967	−	0.324262i	$-0.105116\pi$
$224$	−36.2339	−	128.209i	−0.161758	−	0.572361i
$225$	255.643	+	11.4514i	1.13619	+	0.0508950i
$226$	−172.756	+	140.676i	−0.764405	+	0.622462i
$227$	157.728	+	27.8117i	0.694838	+	0.122519i	0.509903	−	0.860232i	$-0.329681\pi$
$227$	157.728	+	27.8117i	0.694838	+	0.122519i	0.184935	+	0.982751i	$0.440792\pi$
$228$	−1.37269	−	4.48147i	−0.00602059	−	0.0196556i
$229$	219.275	+	79.8096i	0.957533	+	0.348513i	0.773066	−	0.634325i	$-0.218722\pi$
$229$	219.275	+	79.8096i	0.957533	+	0.348513i	0.184466	+	0.982839i	$0.440944\pi$
$230$	238.168	+	45.6215i	1.03551	+	0.198354i
$231$	112.218	+	204.821i	0.485792	+	0.886671i
$232$	300.136	−	94.4522i	1.29369	−	0.407121i
$233$	213.934	+	370.545i	0.918172	+	1.59032i	0.802190	+	0.597069i	$0.203668\pi$
$233$	213.934	+	370.545i	0.918172	+	1.59032i	0.115982	+	0.993251i	$0.462998\pi$
$234$	67.1752	−	281.785i	0.287073	−	1.20421i
$235$	−144.377	−	83.3563i	−0.614372	−	0.354708i
$236$	123.665	−	310.953i	0.524005	−	1.31760i
$237$	−31.1760	+	4.78040i	−0.131544	+	0.0201705i
$238$	40.9778	+	117.962i	0.172176	+	0.495640i
$239$	−29.7397	−	35.4424i	−0.124434	−	0.148295i	0.700231	−	0.713917i	$-0.253081\pi$
$239$	−29.7397	−	35.4424i	−0.124434	−	0.148295i	−0.824665	+	0.565622i	$0.808636\pi$
$240$	−150.183	−	317.105i	−0.625761	−	1.32127i
$241$	−240.056	+	87.3733i	−0.996083	+	0.362545i	−0.788073	−	0.615582i	$-0.788921\pi$
$241$	−240.056	+	87.3733i	−0.996083	+	0.362545i	−0.208010	+	0.978127i	$0.566699\pi$
$242$	−72.7600	−	451.419i	−0.300661	−	1.86537i
$243$	−202.428	+	134.432i	−0.833037	+	0.553217i
$244$	−94.3115	+	31.2133i	−0.386523	+	0.127923i
$245$	217.510	−	79.1672i	0.887797	−	0.323132i
$246$	−362.700	−	13.4655i	−1.47439	−	0.0547380i
$247$	−4.04043	−	4.81520i	−0.0163580	−	0.0194947i
$248$	106.067	+	138.385i	0.427688	+	0.558006i
$249$	298.968	−	45.8425i	1.20068	−	0.184106i
$250$	25.7342	−	43.0946i	0.102937	−	0.172378i
$251$	−411.736	−	237.716i	−1.64038	−	0.947076i	−0.980697	−	0.195535i	$-0.937356\pi$
$251$	−411.736	−	237.716i	−1.64038	−	0.947076i	−0.659687	−	0.751541i	$-0.729311\pi$
$252$	−11.1139	+	149.472i	−0.0441027	+	0.593143i
$253$	155.075	+	268.598i	0.612944	+	1.06165i
$254$	−0.314716	+	21.3690i	−0.00123904	+	0.0841300i
$255$	158.020	+	288.419i	0.619687	+	1.13106i
$256$	−153.172	+	205.120i	−0.598327	+	0.801252i
$257$	−43.3069	−	15.7624i	−0.168509	−	0.0613323i	0.256388	−	0.966574i	$-0.417468\pi$
$257$	−43.3069	−	15.7624i	−0.168509	−	0.0613323i	−0.424897	+	0.905242i	$0.639690\pi$
$258$	−147.719	+	20.4290i	−0.572556	+	0.0791820i
$259$	−45.7154	−	8.06085i	−0.176507	−	0.0311230i
$260$	−351.405	−	312.953i	−1.35156	−	1.20367i
$261$	−353.623	−	15.8403i	−1.35488	−	0.0606909i
$262$	45.4549	−	119.386i	0.173492	−	0.455671i
$263$	−102.839	+	122.559i	−0.391025	+	0.466005i	−0.925261	−	0.379330i	$-0.876155\pi$
$263$	−102.839	+	122.559i	−0.391025	+	0.466005i	0.534237	+	0.845335i	$0.320599\pi$
$264$	181.192	−	410.551i	0.686333	−	1.55512i
$265$	−65.0292	−	368.799i	−0.245393	−	1.39169i
$266$	2.46039	+	2.12703i	0.00924958	+	0.00799636i
$267$	−32.9109	−	28.8950i	−0.123262	−	0.108221i
$268$	130.413	+	165.058i	0.486616	+	0.615888i
$269$	408.125			1.51719			0.758597	−	0.651560i	$-0.225885\pi$
$269$	408.125			1.51719			0.758597	+	0.651560i	$0.225885\pi$
$270$	36.5232	+	393.036i	0.135271	+	1.45569i
$271$		−	9.23489i		−	0.0340771i	−0.999855	−	0.0170385i	$-0.994576\pi$
$271$		−	9.23489i		−	0.0340771i	0.999855	−	0.0170385i	$-0.00542380\pi$
$272$	132.000	−	200.378i	0.485294	−	0.736684i
$273$	64.5057	+	190.381i	0.236285	+	0.697368i
$274$	289.462	+	250.243i	1.05643	+	0.913296i
$275$	523.574	−	92.3203i	1.90391	−	0.335710i
$276$	−10.3130	+	198.778i	−0.0373660	+	0.720212i
$277$	59.9164	+	50.2758i	0.216305	+	0.181501i	0.744502	−	0.667621i	$-0.232687\pi$
$277$	59.9164	+	50.2758i	0.216305	+	0.181501i	−0.528197	+	0.849122i	$0.677132\pi$
$278$	98.6563	−	259.118i	0.354879	−	0.932079i
$279$	−58.7726	−	187.141i	−0.210654	−	0.670755i
$280$	205.271	+	130.930i	0.733112	+	0.467607i
$281$	−84.5660	+	479.598i	−0.300947	+	1.70675i	0.341049	+	0.940046i	$0.389218\pi$
$281$	−84.5660	+	479.598i	−0.300947	+	1.70675i	−0.641996	+	0.766708i	$0.721893\pi$
$282$	51.5405	−	126.763i	0.182768	−	0.449514i
$283$	72.9296	−	200.373i	0.257702	−	0.708030i	−0.741606	−	0.670836i	$-0.765936\pi$
$283$	72.9296	−	200.373i	0.257702	−	0.708030i	0.999308	−	0.0371946i	$-0.0118421\pi$
$284$	10.2809	−	348.958i	0.0362004	−	1.22872i
$285$	7.32002	+	4.44756i	0.0256843	+	0.0156055i
$286$	8.86268	−	601.769i	0.0309884	−	2.10409i
$287$	218.112	−	125.927i	0.759973	−	0.438771i
$288$	240.943	−	157.767i	0.836608	−	0.547802i
$289$	32.0482	−	55.5091i	0.110893	−	0.192073i
$290$	−294.803	+	493.679i	−1.01656	+	1.70234i
$291$	−23.4245	−	9.12454i	−0.0804965	−	0.0313558i
$292$	67.8950	+	126.029i	0.232517	+	0.431606i
$293$	−125.729	+	105.500i	−0.429111	+	0.360067i	−0.831616	−	0.555351i	$-0.812584\pi$
$293$	−125.729	+	105.500i	−0.429111	+	0.360067i	0.402505	+	0.915418i	$0.368139\pi$
$294$	88.8269	+	167.950i	0.302132	+	0.571260i
$295$	209.160	+	574.661i	0.709016	+	1.94800i
$296$	41.1430	+	79.1405i	0.138996	+	0.267367i
$297$	−349.730	+	364.093i	−1.17754	+	1.22590i
$298$	−19.0653	−	118.285i	−0.0639775	−	0.396930i
$299$	91.3000	+	250.845i	0.305351	+	0.838946i
$300$	314.146	+	133.153i	1.04715	+	0.443842i
$301$	79.2699	−	66.5153i	0.263355	−	0.220981i
$302$	46.5061	+	133.876i	0.153994	+	0.443299i
$303$	338.811	−	271.609i	1.11819	−	0.896400i
$304$	0.367913	−	6.23848i	0.00121024	−	0.0205213i
$305$	90.7718	−	157.221i	0.297613	−	0.515480i
$306$	−216.738	+	160.914i	−0.708295	+	0.525862i
$307$	277.852	−	160.418i	0.905056	−	0.522534i	0.0262186	−	0.999656i	$-0.491653\pi$
$307$	277.852	−	160.418i	0.905056	−	0.522534i	0.878837	+	0.477122i	$0.158320\pi$
$308$	45.0190	+	308.125i	0.146166	+	1.00041i
$309$	−0.244673	+	10.9297i	−0.000791821	+	0.0353713i
$310$	−312.941	−	59.9445i	−1.00949	−	0.193369i
$311$	141.775	−	389.525i	0.455870	−	1.25249i	−0.472664	−	0.881243i	$-0.656708\pi$
$311$	141.775	−	389.525i	0.455870	−	1.25249i	0.928533	−	0.371249i	$-0.121070\pi$
$312$	214.941	−	320.909i	0.688914	−	1.02855i
$313$	11.8062	−	66.9560i	0.0377193	−	0.213917i	−0.960123	−	0.279579i	$-0.909805\pi$
$313$	11.8062	−	66.9560i	0.0377193	−	0.213917i	0.997842	+	0.0656625i	$0.0209161\pi$
$314$	−106.309	+	86.5680i	−0.338562	+	0.275694i
$315$	−166.498	−	217.493i	−0.528565	−	0.690455i
$316$	−41.1820	−	8.51904i	−0.130323	−	0.0269590i
$317$	−423.973	−	355.755i	−1.33745	−	1.12226i	−0.982273	−	0.187458i	$-0.939975\pi$
$317$	−423.973	−	355.755i	−1.33745	−	1.12226i	−0.355180	−	0.934798i	$-0.615581\pi$
$318$	292.549	−	94.3433i	0.919967	−	0.296677i
$319$	−724.244	+	127.704i	−2.27036	+	0.400325i
$320$	−40.2643	−	466.092i	−0.125826	−	1.45654i
$321$	348.688	+	69.5635i	1.08626	+	0.216709i
$322$	−67.2910	−	120.619i	−0.208978	−	0.374594i
$323$			5.85748i			0.0181346i
$324$	−315.462	+	73.8912i	−0.973647	+	0.228059i
$325$	457.588			1.40796
$326$	−291.302	+	162.511i	−0.893565	+	0.498501i
$327$	122.690	−	614.985i	0.375198	−	1.88069i
$328$	−446.994	−	185.438i	−1.36279	−	0.565358i
$329$	16.4887	+	93.5122i	0.0501177	+	0.284232i
$330$	251.701	+	780.500i	0.762730	+	2.36515i
$331$	−253.344	+	301.924i	−0.765390	+	0.912157i	−0.998176	−	0.0603714i	$-0.980771\pi$
$331$	−253.344	+	301.924i	−0.765390	+	0.912157i	0.232786	+	0.972528i	$0.425216\pi$
$332$	394.922	+	81.6949i	1.18952	+	0.246069i
$333$	−12.9852	−	99.5020i	−0.0389946	−	0.298805i
$334$	−99.6084	−	122.323i	−0.298229	−	0.366235i
$335$	−378.584	−	66.7546i	−1.13010	−	0.199267i
$336$	−83.3744	+	181.624i	−0.248138	+	0.540547i
$337$	−495.696	−	180.418i	−1.47091	−	0.535366i	−0.522560	−	0.852602i	$-0.675023\pi$
$337$	−495.696	−	180.418i	−1.47091	−	0.535366i	−0.948347	+	0.317236i	$0.897245\pi$
$338$	33.8627	−	176.780i	0.100185	−	0.523019i
$339$	334.098	+	7.47909i	0.985539	+	0.0220622i
$340$	63.3937	+	433.888i	0.186452	+	1.27614i
$341$	−203.761	−	352.925i	−0.597540	−	1.03497i
$342$	−2.79311	+	6.45184i	−0.00816698	+	0.0188650i
$343$	−290.853	−	167.924i	−0.847968	−	0.489574i
$344$	−194.097	−	43.1416i	−0.564235	−	0.125412i
$345$	−227.517	−	283.809i	−0.659470	−	0.822635i
$346$	156.394	−	54.3284i	0.452007	−	0.157018i
$347$	105.358	+	125.560i	0.303624	+	0.361845i	0.896185	−	0.443681i	$-0.146328\pi$
$347$	105.358	+	125.560i	0.303624	+	0.361845i	−0.592561	+	0.805526i	$0.701883\pi$
$348$	−434.548	−	184.186i	−1.24870	−	0.529269i
$349$	111.453	−	40.5656i	0.319350	−	0.116234i	−0.177371	−	0.984144i	$-0.556759\pi$
$349$	111.453	−	40.5656i	0.319350	−	0.116234i	0.496721	+	0.867910i	$0.334537\pi$
$350$	−233.745	+	37.6752i	−0.667843	+	0.107643i
$351$	−350.853	+	256.342i	−0.999581	+	0.730319i
$352$	417.285	−	428.820i	1.18547	−	1.21824i
$353$	405.217	−	147.487i	1.14792	−	0.417810i	0.303154	−	0.952941i	$-0.401960\pi$
$353$	405.217	−	147.487i	1.14792	−	0.417810i	0.844769	+	0.535132i	$0.179738\pi$
$354$	−443.725	+	234.681i	−1.25346	+	0.662939i
$355$	410.086	+	488.721i	1.15517	+	1.37668i
$356$	−27.6951	−	51.4086i	−0.0777952	−	0.144406i
$357$	67.9890	−	174.541i	0.190445	−	0.488911i
$358$	91.8531	+	54.8506i	0.256573	+	0.153214i
$359$	−276.576	−	159.681i	−0.770407	−	0.444795i	0.0626127	−	0.998038i	$-0.480057\pi$
$359$	−276.576	−	159.681i	−0.770407	−	0.444795i	−0.833020	+	0.553243i	$0.813390\pi$
$360$	−137.071	+	508.144i	−0.380752	+	1.41151i
$361$	−180.424	−	312.503i	−0.499789	−	0.865659i
$362$	−129.782	−	1.91139i	−0.358514	−	0.00528009i
$363$	−356.141	+	586.155i	−0.981105	+	1.61475i
$364$	−7.89283	+	267.901i	−0.0216836	+	0.735990i
$365$	−245.830	−	89.4748i	−0.673507	−	0.245136i
$366$	138.040	+	56.1257i	0.377158	+	0.153349i
$367$	605.049	+	106.686i	1.64863	+	0.290699i	0.919329	−	0.393490i	$-0.128732\pi$
$367$	605.049	+	106.686i	1.64863	+	0.290699i	0.729305	+	0.684188i	$0.239843\pi$
$368$	−105.295	+	243.613i	−0.286128	+	0.661991i
$369$	400.976	+	368.262i	1.08665	+	0.997999i
$370$	−152.334	−	57.9995i	−0.411713	−	0.156755i
$371$	−137.105	+	163.396i	−0.369556	+	0.440419i
$372$	13.5508	−	261.186i	0.0364269	−	0.702112i
$373$	104.221	+	591.065i	0.279412	+	1.58462i	0.724589	+	0.689181i	$0.242030\pi$
$373$	104.221	+	591.065i	0.279412	+	1.58462i	−0.445177	+	0.895442i	$0.646859\pi$
$374$	−366.779	+	424.262i	−0.980693	+	1.13439i
$375$	−71.3084	+	24.1610i	−0.190156	+	0.0644293i
$376$	123.337	−	134.452i	0.328025	−	0.357584i
$377$	−632.967			−1.67896
$378$	158.117	−	159.832i	0.418299	−	0.422835i
$379$			14.1542i			0.0373462i	0.999826	+	0.0186731i	$0.00594418\pi$
$379$			14.1542i			0.0373462i	−0.999826	+	0.0186731i	$0.994056\pi$
$380$	7.08003	+	8.96087i	0.0186317	+	0.0235812i
$381$	21.1503	−	24.0898i	0.0555126	−	0.0632278i
$382$	278.318	−	321.937i	0.728581	−	0.842766i
$383$	−357.007	+	62.9499i	−0.932133	+	0.164360i	−0.619037	−	0.785362i	$-0.712477\pi$
$383$	−357.007	+	62.9499i	−0.932133	+	0.164360i	−0.313095	+	0.949722i	$0.601366\pi$
$384$	374.441	−	85.1477i	0.975106	−	0.221739i
$385$	−435.927	−	365.786i	−1.13228	−	0.950095i
$386$	27.9580	+	10.6447i	0.0724301	+	0.0275769i
$387$	188.520	+	120.401i	0.487133	+	0.311113i
$388$	−25.0311	−	22.2921i	−0.0645130	−	0.0574539i
$389$	−67.1581	+	380.873i	−0.172643	+	0.979107i	0.768186	+	0.640226i	$0.221159\pi$
$389$	−67.1581	+	380.873i	−0.172643	+	0.979107i	−0.940829	+	0.338881i	$0.889952\pi$
$390$	96.6941	+	699.183i	0.247934	+	1.79278i
$391$	85.0789	−	233.752i	0.217593	−	0.597832i
$392$	32.9282	+	251.176i	0.0840006	+	0.640754i
$393$	−168.050	+	92.0718i	−0.427608	+	0.234279i
$394$	137.794	+	2.02938i	0.349730	+	0.00515072i
$395$	66.5553	−	38.4257i	0.168494	−	0.0972803i
$396$	−606.304	+	292.415i	−1.53107	+	0.738423i
$397$	75.4765	−	130.729i	0.190117	−	0.329293i	−0.755172	−	0.655527i	$-0.772447\pi$
$397$	75.4765	−	130.729i	0.190117	−	0.329293i	0.945289	+	0.326234i	$0.105780\pi$
$398$	−94.6789	−	56.5380i	−0.237887	−	0.142055i
$399$	−0.739410	−	4.82216i	−0.00185316	−	0.0120856i
$400$	330.679	+	312.435i	0.826696	+	0.781087i
$401$	−172.496	+	144.741i	−0.430164	+	0.360951i	−0.832014	−	0.554755i	$-0.812812\pi$
$401$	−172.496	+	144.741i	−0.430164	+	0.360951i	0.401850	+	0.915706i	$0.368367\pi$
$402$	11.7067	−	315.324i	0.0291211	−	0.784388i
$403$	−119.964	−	329.598i	−0.297677	−	0.817862i
$404$	549.665	−	181.917i	1.36056	−	0.450289i
$405$	340.708	−	484.246i	0.841254	−	1.19567i
$406$	323.332	−	52.1149i	0.796385	−	0.128362i
$407$	−71.3030	−	195.903i	−0.175192	−	0.481335i
$408$	−345.656	+	100.332i	−0.847195	+	0.245913i
$409$	−74.9861	+	62.9208i	−0.183340	+	0.153841i	−0.729839	−	0.683619i	$-0.760405\pi$
$409$	−74.9861	+	62.9208i	−0.183340	+	0.153841i	0.546499	+	0.837460i	$0.315960\pi$
$410$	835.395	−	290.200i	2.03755	−	0.707804i
$411$	−86.9909	−	567.323i	−0.211657	−	1.38035i
$412$	−5.38672	+	13.5448i	−0.0130746	+	0.0328757i
$413$	174.158	−	301.651i	0.421691	−	0.730391i
$414$	205.175	−	216.902i	0.495593	−	0.523917i
$415$	−638.244	+	368.490i	−1.53794	+	0.887928i
$416$	417.788	−	301.109i	1.00430	−	0.723820i
$417$	−364.740	+	199.835i	−0.874676	+	0.479220i
$418$	−2.74792	+	14.3456i	−0.00657398	+	0.0343195i
$419$	18.1404	−	49.8403i	0.0432945	−	0.118951i	−0.916161	−	0.400810i	$-0.868729\pi$
$419$	18.1404	−	49.8403i	0.0432945	−	0.118951i	0.959456	+	0.281859i	$0.0909511\pi$
$420$	−106.960	−	349.195i	−0.254667	−	0.831417i
$421$	69.5196	−	394.265i	0.165130	−	0.936497i	−0.783801	−	0.621012i	$-0.786722\pi$
$421$	69.5196	−	394.265i	0.165130	−	0.936497i	0.948931	−	0.315485i	$-0.102167\pi$
$422$	208.163	+	255.632i	0.493278	+	0.605763i
$423$	−182.175	+	94.5727i	−0.430674	+	0.223576i
$424$	409.447	+	18.1011i	0.965678	+	0.0426913i
$425$	−326.648	−	274.090i	−0.768583	−	0.644917i
$426$	−351.255	+	388.385i	−0.824543	+	0.911702i
$427$	−101.831	+	17.9556i	−0.238481	+	0.0420506i
$428$	403.406	+	249.028i	0.942538	+	0.581841i
$429$	−595.610	+	678.388i	−1.38837	+	1.58132i
$430$	317.319	−	177.026i	0.737952	−	0.411688i
$431$			445.360i			1.03332i	0.856191	+	0.516659i	$0.172825\pi$
$431$			445.360i			1.03332i	−0.856191	+	0.516659i	$0.827175\pi$
$432$	−428.572	−	54.3108i	−0.992066	−	0.125720i
$433$	−52.1504			−0.120440			−0.0602199	−	0.998185i	$-0.519180\pi$
$433$	−52.1504			−0.120440			−0.0602199	+	0.998185i	$0.519180\pi$
$434$	88.4172	+	158.488i	0.203726	+	0.365180i
$435$	816.888	−	276.781i	1.87790	−	0.636278i
$436$	439.212	−	711.491i	1.00737	−	1.63186i
$437$	−1.12501	−	6.38022i	−0.00257438	−	0.0146001i
$438$	45.1075	−	209.940i	0.102985	−	0.479314i
$439$	307.416	−	366.365i	0.700265	−	0.834543i	−0.292291	−	0.956329i	$-0.594418\pi$
$439$	307.416	−	366.365i	0.700265	−	0.834543i	0.992556	+	0.121786i	$0.0388621\pi$
$440$	−48.2924	+	1092.37i	−0.109756	+	2.48267i
$441$	61.9979	−	278.165i	0.140585	−	0.630760i
$442$	−374.297	+	304.794i	−0.846827	+	0.689578i
$443$	−64.2664	−	11.3319i	−0.145071	−	0.0255799i	0.100641	−	0.994923i	$-0.467911\pi$
$443$	−64.2664	−	11.3319i	−0.145071	−	0.0255799i	−0.245712	+	0.969343i	$0.579022\pi$
$444$	30.0288	−	130.381i	0.0676324	−	0.293651i
$445$	100.277	+	36.4978i	0.225341	+	0.0820174i
$446$	−750.317	−	143.725i	−1.68232	−	0.322253i
$447$	−93.3196	+	153.590i	−0.208769	+	0.343602i
$448$	−188.623	+	188.211i	−0.421033	+	0.420113i
$449$	−107.513	−	186.218i	−0.239450	−	0.414740i	0.721106	−	0.692824i	$-0.243634\pi$
$449$	−107.513	−	186.218i	−0.239450	−	0.414740i	−0.960557	+	0.278084i	$0.910301\pi$
$450$	−229.094	−	457.662i	−0.509098	−	1.01703i
$451$	979.548	+	565.542i	2.17195	+	1.25397i
$452$	414.034	+	164.660i	0.916005	+	0.364292i
$453$	77.1613	−	198.088i	0.170334	−	0.437281i
$454$	−105.112	−	302.586i	−0.231525	−	0.666489i
$455$	−314.830	−	375.199i	−0.691933	−	0.824614i
$456$	−6.48976	+	6.76421i	−0.0142319	+	0.0148338i
$457$	731.479	−	266.237i	1.60061	−	0.582575i	0.621059	−	0.783764i	$-0.286703\pi$
$457$	731.479	−	266.237i	1.60061	−	0.582575i	0.979552	+	0.201189i	$0.0644806\pi$
$458$	−74.2638	−	460.749i	−0.162148	−	1.00600i
$459$	404.001	+	27.1681i	0.880176	+	0.0591898i
$460$	−152.385	−	460.434i	−0.331272	−	1.00094i
$461$	−41.6290	+	15.1517i	−0.0903015	+	0.0328670i	−0.386776	−	0.922174i	$-0.626411\pi$
$461$	−41.6290	+	15.1517i	−0.0903015	+	0.0328670i	0.296474	+	0.955041i	$0.404189\pi$
$462$	248.394	−	395.573i	0.537650	−	0.856219i
$463$	525.356	+	626.094i	1.13468	+	1.35226i	0.927443	+	0.373964i	$0.122002\pi$
$463$	525.356	+	626.094i	1.13468	+	1.35226i	0.207234	+	0.978291i	$0.433554\pi$
$464$	−457.417	−	432.181i	−0.985813	−	0.931426i
$465$	298.947	+	372.912i	0.642896	+	0.801961i
$466$	438.735	−	734.708i	0.941492	−	1.57663i
$467$	−392.786	−	226.775i	−0.841084	−	0.485600i	0.0165487	−	0.999863i	$-0.494732\pi$
$467$	−392.786	−	226.775i	−0.841084	−	0.485600i	−0.857632	+	0.514263i	$0.828065\pi$
$468$	−557.617	+	157.239i	−1.19149	+	0.335982i
$469$	109.479	+	189.623i	0.233430	+	0.404313i
$470$	−4.91005	+	333.389i	−0.0104469	+	0.709338i
$471$	205.594	+	4.60241i	0.436505	+	0.00977156i
$472$	−663.605	+	86.9963i	−1.40594	+	0.184314i
$473$	436.702	+	158.947i	0.923261	+	0.336039i
$474$	38.7269	+	49.7938i	0.0817022	+	0.105050i
$475$	−10.9368	−	1.92846i	−0.0230249	−	0.00405991i
$476$	166.103	−	186.512i	0.348957	−	0.391832i
$477$	−425.781	−	176.929i	−0.892622	−	0.370920i
$478$	−32.9254	+	86.4776i	−0.0688816	+	0.180916i
$479$	394.817	−	470.525i	0.824253	−	0.982307i	−0.175744	−	0.984436i	$-0.556233\pi$
$479$	394.817	−	470.525i	0.824253	−	0.982307i	0.999998	+	0.00212887i	$0.000677642\pi$
$480$	−407.516	+	571.290i	−0.848992	+	1.19019i
$481$	−31.1583	−	176.708i	−0.0647782	−	0.367376i
$482$	386.512	+	334.144i	0.801893	+	0.693245i
$483$	−40.5337	+	203.176i	−0.0839207	+	0.420654i
$484$	−717.547	+	566.938i	−1.48253	+	1.17136i
$485$	61.2535			0.126296
$486$	432.040	+	222.570i	0.888971	+	0.457964i
$487$		−	660.590i		−	1.35645i	−0.734856	−	0.678224i	$-0.762750\pi$
$487$		−	660.590i		−	1.35645i	0.734856	−	0.678224i	$-0.237250\pi$
$488$	146.413	+	134.310i	0.300026	+	0.275225i
$489$	490.681	+	97.8911i	1.00344	+	0.200186i
$490$	−350.211	−	302.762i	−0.714717	−	0.617881i
$491$	−711.257	+	125.414i	−1.44859	+	0.255425i	−0.841952	−	0.539553i	$-0.818593\pi$
$491$	−711.257	+	125.414i	−1.44859	+	0.255425i	−0.606638	+	0.794978i	$0.707482\pi$
$492$	329.891	+	646.608i	0.670509	+	1.31424i
$493$	451.841	+	379.140i	0.916514	+	0.769047i
$494$	−4.47324	+	11.7488i	−0.00905514	+	0.0237831i
$495$	472.033	−	1135.95i	0.953601	−	2.29485i
$496$	138.353	−	320.096i	0.278937	−	0.645354i
$497$	63.0995	−	357.855i	0.126961	−	0.720030i
$498$	−371.378	−	477.506i	−0.745739	−	0.958848i
$499$	79.8454	−	219.374i	0.160011	−	0.439626i	−0.833616	−	0.552344i	$-0.813733\pi$
$499$	79.8454	−	219.374i	0.160011	−	0.439626i	0.993627	+	0.112718i	$0.0359556\pi$
$500$	−100.344	−	2.95630i	−0.200687	−	0.00591260i
$501$	−5.29570	+	236.564i	−0.0105703	+	0.472183i
$502$	−14.0025	+	950.761i	−0.0278935	+	1.89395i
$503$	225.781	−	130.355i	0.448870	−	0.259155i	−0.258483	−	0.966016i	$-0.583223\pi$
$503$	225.781	−	130.355i	0.448870	−	0.259155i	0.707353	+	0.706861i	$0.249889\pi$
$504$	271.895	−	126.232i	0.539475	−	0.250460i
$505$	−529.035	+	916.315i	−1.04759	+	1.81449i
$506$	318.027	−	532.570i	0.628512	−	1.05251i
$507$	−210.658	+	168.875i	−0.415499	+	0.333087i
$508$	37.6296	−	20.2720i	0.0740739	−	0.0399055i
$509$	590.919	−	495.840i	1.16094	−	0.974145i	0.161022	−	0.986951i	$-0.448521\pi$
$509$	590.919	−	495.840i	1.16094	−	0.974145i	0.999918	+	0.0128062i	$0.00407646\pi$
$510$	349.778	−	557.028i	0.685839	−	1.09221i
$511$	50.9623	+	140.018i	0.0997306	+	0.274008i
$512$	507.509	+	67.6618i	0.991229	+	0.132152i
$513$	9.46607	−	4.64820i	0.0184524	−	0.00906082i
$514$	14.6671	+	90.9980i	0.0285352	+	0.177039i
$515$	−9.11078	−	25.0316i	−0.0176908	−	0.0486051i
$516$	179.617	+	238.099i	0.348094	+	0.461433i
$517$	−326.675	+	274.113i	−0.631867	+	0.530199i
$518$	30.4654	+	87.7003i	0.0588135	+	0.169306i
$519$	−231.407	−	90.1399i	−0.445870	−	0.173680i
$520$	−204.197	+	918.697i	−0.392687	+	1.76673i
$521$	−213.733	+	370.196i	−0.410236	+	0.710550i	−0.994915	−	0.100715i	$-0.967887\pi$
$521$	−213.733	+	370.196i	−0.410236	+	0.710550i	0.584679	+	0.811264i	$0.301220\pi$
$522$	316.899	+	633.069i	0.607086	+	1.21278i
$523$	−699.824	+	404.044i	−1.33810	+	0.772550i	−0.986525	−	0.163611i	$-0.947686\pi$
$523$	−699.824	+	404.044i	−1.33810	+	0.772550i	−0.351571	+	0.936161i	$0.614352\pi$
$524$	−252.809	+	36.9369i	−0.482459	+	0.0704903i
$525$	303.512	+	184.410i	0.578117	+	0.351258i
$526$	314.266	+	60.1983i	0.597464	+	0.114445i
$527$	−111.790	+	307.139i	−0.212125	+	0.582807i
$528$	−893.614	+	83.5667i	−1.69245	+	0.158270i
$529$	44.0835	−	250.010i	0.0833336	−	0.472608i
$530$	−580.777	+	472.931i	−1.09580	+	0.892323i
$531$	734.911	+	163.798i	1.38401	+	0.308471i
$532$	1.31769	−	6.36983i	0.00247685	−	0.0119734i
$533$	745.756	+	625.764i	1.39917	+	1.17404i
$534$	−18.3998	+	85.6367i	−0.0344566	+	0.160368i
$535$	−853.196	+	150.441i	−1.59476	+	0.281199i
$536$	161.216	−	388.608i	0.300776	−	0.725015i
$537$	−51.4974	−	151.989i	−0.0958983	−	0.283033i
$538$	−397.671	−	712.827i	−0.739166	−	1.32496i
$539$		−	592.090i		−	1.09850i
$540$	650.885	−	446.760i	1.20534	−	0.827333i
$541$	−374.121			−0.691535			−0.345768	−	0.938320i	$-0.612381\pi$
$541$	−374.121			−0.691535			−0.345768	+	0.938320i	$0.612381\pi$
$542$	−16.1296	+	8.99834i	−0.0297593	+	0.0166021i
$543$	146.306	+	128.454i	0.269441	+	0.236563i
$544$	−478.597	−	35.3044i	−0.879774	−	0.0648978i
$545$	265.335	+	1504.79i	0.486853	+	2.76108i
$546$	269.665	−	298.170i	0.493891	−	0.546098i
$547$	−630.498	+	751.399i	−1.15265	+	1.37367i	−0.237089	+	0.971488i	$0.576193\pi$
$547$	−630.498	+	751.399i	−1.15265	+	1.37367i	−0.915559	+	0.402184i	$0.868251\pi$
$548$	155.024	−	749.405i	0.282891	−	1.36753i
$549$	−102.986	−	198.382i	−0.187588	−	0.361351i
$550$	−671.409	−	824.514i	−1.22074	−	1.49912i
$551$	15.1286	+	2.66758i	0.0274566	+	0.00484134i
$552$	357.233	−	175.674i	0.647161	−	0.318250i
$553$	−41.1326	−	14.9710i	−0.0743808	−	0.0270724i
$554$	29.4296	−	153.637i	0.0531220	−	0.277324i
$555$	117.482	+	214.429i	0.211679	+	0.386358i
$556$	−548.702	+	80.1687i	−0.986874	+	0.144188i
$557$	−37.0277	−	64.1338i	−0.0664770	−	0.115141i	0.830871	−	0.556465i	$-0.187843\pi$
$557$	−37.0277	−	64.1338i	−0.0664770	−	0.115141i	−0.897348	+	0.441323i	$0.854509\pi$
$558$	−269.591	+	284.999i	−0.483137	+	0.510750i
$559$	346.400	+	199.994i	0.619678	+	0.357771i
$560$	28.6677	−	486.101i	0.0511923	−	0.868037i
$561$	831.520	−	127.502i	1.48221	−	0.227276i
$562$	920.060	−	319.611i	1.63712	−	0.568703i
$563$	394.263	+	469.864i	0.700290	+	0.834573i	0.992559	−	0.121763i	$-0.0388549\pi$
$563$	394.263	+	469.864i	0.700290	+	0.834573i	−0.292270	+	0.956336i	$0.594410\pi$
$564$	−271.623	+	33.4957i	−0.481601	+	0.0593895i
$565$	−765.161	+	278.496i	−1.35427	+	0.492913i
$566$	−421.030	+	67.8619i	−0.743869	+	0.119897i
$567$	−336.023	+	28.6323i	−0.592632	+	0.0504979i
$568$	−619.503	+	322.063i	−1.09067	+	0.567012i
$569$	128.189	−	46.6569i	0.225288	−	0.0819980i	−0.226910	−	0.973916i	$-0.572862\pi$
$569$	128.189	−	46.6569i	0.225288	−	0.0819980i	0.452198	+	0.891918i	$0.350640\pi$
$570$	0.635547	−	17.1187i	0.00111499	−	0.0300328i
$571$	−28.1385	−	33.5342i	−0.0492794	−	0.0587289i	0.740842	−	0.671680i	$-0.234427\pi$
$571$	−28.1385	−	33.5342i	−0.0492794	−	0.0587289i	−0.790121	+	0.612951i	$0.789982\pi$
$572$	−1059.68	+	570.876i	−1.85259	+	0.998035i
$573$	−630.970	+	96.7503i	−1.10117	+	0.168849i
$574$	−432.469	−	258.251i	−0.753430	−	0.449915i
$575$	408.441	+	235.814i	0.710333	+	0.410111i
$576$	−510.325	−	267.103i	−0.885981	−	0.463721i
$577$	−73.2045	−	126.794i	−0.126871	−	0.219747i	0.795592	−	0.605833i	$-0.207160\pi$
$577$	−73.2045	−	126.794i	−0.126871	−	0.219747i	−0.922463	+	0.386086i	$0.873827\pi$
$578$	−128.179	−	1.88778i	−0.221763	−	0.00326605i
$579$	−21.5616	−	39.3543i	−0.0372393	−	0.0679694i
$580$	1149.51	+	33.8665i	1.98191	+	0.0583905i
$581$	394.448	+	143.567i	0.678913	+	0.247104i
$582$	6.88765	+	49.8038i	0.0118345	+	0.0855735i
$583$	−943.372	−	166.342i	−1.61813	−	0.285321i
$584$	153.965	−	241.385i	0.263639	−	0.413331i
$585$	569.879	−	892.302i	0.974152	−	1.52530i
$586$	306.773	+	116.800i	0.523504	+	0.199318i
$587$	−439.369	+	523.619i	−0.748499	+	0.892026i	−0.997063	−	0.0765892i	$-0.975597\pi$
$587$	−439.369	+	523.619i	−0.748499	+	0.892026i	0.248564	+	0.968616i	$0.420041\pi$
$588$	206.789	−	318.793i	0.351681	−	0.542164i
$589$	1.47820	+	8.38331i	0.00250969	+	0.0142331i
$590$	799.895	−	925.257i	1.35575	−	1.56823i
$591$	−155.338	−	136.383i	−0.262839	−	0.230767i
$592$	98.1368	−	148.973i	0.165772	−	0.251644i
$593$	−339.967			−0.573301			−0.286650	−	0.958035i	$-0.592542\pi$
$593$	−339.967			−0.573301			−0.286650	+	0.958035i	$0.592542\pi$
$594$	976.693	+	256.066i	1.64426	+	0.431088i
$595$			456.414i			0.767082i
$596$	−188.019	+	148.555i	−0.315468	+	0.249253i
$597$	53.0817	+	156.665i	0.0889140	+	0.262420i
$598$	349.161	−	403.883i	0.583882	−	0.675390i
$599$	113.226	−	19.9649i	0.189026	−	0.0333303i	−0.0783338	−	0.996927i	$-0.524960\pi$
$599$	113.226	−	19.9649i	0.189026	−	0.0333303i	0.267359	+	0.963597i	$0.413849\pi$
$600$	−73.5362	−	678.426i	−0.122560	−	1.13071i
$601$	−41.4690	−	34.7966i	−0.0689999	−	0.0578978i	0.607635	−	0.794216i	$-0.292118\pi$
$601$	−41.4690	−	34.7966i	−0.0689999	−	0.0578978i	−0.676635	+	0.736318i	$0.736563\pi$
$602$	−193.414	−	73.6404i	−0.321286	−	0.122326i
$603$	−320.159	+	348.600i	−0.530944	+	0.578110i
$604$	188.512	−	211.674i	0.312106	−	0.350454i
$605$	290.199	−	1645.80i	0.479667	−	2.72033i
$606$	−804.522	−	327.111i	−1.32759	−	0.539787i
$607$	221.274	−	607.945i	0.364537	−	1.00156i	−0.612869	−	0.790185i	$-0.709985\pi$
$607$	221.274	−	607.945i	0.364537	−	1.00156i	0.977406	−	0.211372i	$-0.0677932\pi$
$608$	−11.2545	+	5.43609i	−0.0185108	+	0.00894094i
$609$	−419.838	−	255.089i	−0.689389	−	0.418865i
$610$	−363.048	−	5.34686i	−0.595161	−	0.00876535i
$611$	−317.864	+	183.519i	−0.520235	+	0.300358i
$612$	492.237	+	221.761i	0.804309	+	0.362354i
$613$	107.603	−	186.374i	0.175535	−	0.304035i	−0.764811	−	0.644254i	$-0.777168\pi$
$613$	107.603	−	186.374i	0.175535	−	0.304035i	0.940346	+	0.340219i	$0.110501\pi$
$614$	−550.919	−	328.985i	−0.897263	−	0.535805i
$615$	−1236.08	−	481.490i	−2.00989	−	0.782911i
$616$	494.302	−	378.863i	0.802439	−	0.615037i
$617$	−246.443	+	206.791i	−0.399422	+	0.335155i	−0.820270	−	0.571976i	$-0.806177\pi$
$617$	−246.443	+	206.791i	−0.399422	+	0.335155i	0.420848	+	0.907131i	$0.361733\pi$
$618$	19.3282	−	10.2224i	0.0312754	−	0.0165412i
$619$	129.813	+	356.659i	0.209715	+	0.576186i	0.999298	−	0.0374568i	$-0.0119257\pi$
$619$	129.813	+	356.659i	0.209715	+	0.576186i	−0.789584	+	0.613643i	$0.789703\pi$
$620$	200.227	+	604.989i	0.322946	+	0.975788i
$621$	−445.273	+	48.0009i	−0.717026	+	0.0772962i
$622$	−818.484	+	131.924i	−1.31589	+	0.212096i
$623$	−20.7881	−	57.1148i	−0.0333677	−	0.0916771i
$624$	−769.932	−	62.7250i	−1.23387	−	0.100521i
$625$	−403.996	+	338.993i	−0.646394	+	0.542389i
$626$	−128.448	+	44.6205i	−0.205189	+	0.0712787i
$627$	17.0947	−	13.7040i	0.0272642	−	0.0218565i
$628$	254.784	+	101.327i	0.405707	+	0.161348i
$629$	−83.6035	+	144.806i	−0.132915	+	0.230216i
$630$	−217.638	+	502.726i	−0.345458	+	0.797978i
$631$	789.534	−	455.838i	1.25124	−	0.722405i	0.279887	−	0.960033i	$-0.409703\pi$
$631$	789.534	−	455.838i	1.25124	−	0.722405i	0.971356	+	0.237628i	$0.0763698\pi$
$632$	25.2478	+	80.2288i	0.0399491	+	0.126944i
$633$	11.0670	−	494.375i	0.0174835	−	0.781003i
$634$	−208.246	+	1087.15i	−0.328463	+	1.71475i
$635$	−26.7153	+	73.3996i	−0.0420713	+	0.115590i
$636$	−449.835	−	419.037i	−0.707287	−	0.658863i
$637$	88.4923	−	501.865i	0.138920	−	0.787857i
$638$	928.739	+	1140.52i	1.45570	+	1.78766i
$639$	778.891	−	101.647i	1.21892	−	0.159072i
$640$	−774.838	+	524.478i	−1.21068	+	0.819497i
$641$	415.837	+	348.929i	0.648732	+	0.544351i	0.906686	−	0.421807i	$-0.138604\pi$
$641$	415.837	+	348.929i	0.648732	+	0.544351i	−0.257954	+	0.966157i	$0.583048\pi$
$642$	−218.258	−	676.797i	−0.339966	−	1.05420i
$643$	330.645	−	58.3017i	0.514223	−	0.0906714i	0.0894857	−	0.995988i	$-0.471478\pi$
$643$	330.645	−	58.3017i	0.514223	−	0.0906714i	0.424737	+	0.905317i	$0.360367\pi$
$644$	−145.105	+	235.059i	−0.225318	+	0.364999i
$645$	−534.506	−	106.634i	−0.828691	−	0.165324i
$646$	10.2306	−	5.70744i	0.0158369	−	0.00883505i
$647$			1.27262i			0.00196696i	1.00000		0.000983479i	$0.000313051\pi$
$647$			1.27262i			0.00196696i	−1.00000		0.000983479i	$0.999687\pi$
$648$	436.439	+	478.984i	0.673517	+	0.739172i
$649$	1564.30			2.41032
$650$	−445.867	−	799.219i	−0.685950	−	1.22957i
$651$	53.2594	−	266.964i	0.0818116	−	0.410083i
$652$	567.681	+	350.437i	0.870677	+	0.537480i
$653$	−67.8083	−	384.560i	−0.103841	−	0.588913i	−0.991677	−	0.128752i	$-0.958903\pi$
$653$	−67.8083	−	384.560i	−0.103841	−	0.588913i	0.887836	−	0.460161i	$-0.152208\pi$
$654$	−1193.67	+	384.944i	−1.82519	+	0.588599i
$655$	300.118	−	357.667i	0.458196	−	0.546056i
$656$	111.662	+	961.403i	0.170216	+	1.46555i
$657$	−255.758	+	195.791i	−0.389281	+	0.298007i
$658$	147.261	−	119.916i	0.223801	−	0.182243i
$659$	226.021	+	39.8536i	0.342975	+	0.0604758i	0.342483	−	0.939524i	$-0.388732\pi$
$659$	226.021	+	39.8536i	0.342975	+	0.0604758i	0.000492450		1.00000i	$0.499843\pi$
$660$	1117.96	−	1200.13i	1.69388	−	1.81837i
$661$	128.136	+	46.6376i	0.193851	+	0.0705561i	0.437121	−	0.899402i	$-0.355998\pi$
$661$	128.136	+	46.6376i	0.193851	+	0.0705561i	−0.243270	+	0.969959i	$0.578220\pi$
$662$	774.192	+	148.298i	1.16947	+	0.224015i
$663$	723.866	+	16.2044i	1.09180	+	0.0244411i
$664$	−242.119	−	769.368i	−0.364636	−	1.15869i
$665$	5.94351	+	10.2945i	0.00893761	+	0.0154804i
$666$	−161.137	+	119.633i	−0.241947	+	0.179629i
$667$	−564.984	−	326.194i	−0.847052	−	0.489046i
$668$	−116.590	+	293.164i	−0.174537	+	0.438869i
$669$	716.763	+	894.104i	1.07140	+	1.33648i
$670$	252.294	+	726.276i	0.376558	+	1.08399i
$671$	−298.499	−	355.737i	−0.444856	−	0.530159i
$672$	398.461	−	31.3506i	0.592948	−	0.0466527i
$673$	−353.816	+	128.779i	−0.525730	+	0.191350i	−0.591231	−	0.806502i	$-0.701358\pi$
$673$	−353.816	+	128.779i	−0.525730	+	0.191350i	0.0655006	+	0.997853i	$0.479136\pi$
$674$	167.882	+	1041.57i	0.249082	+	1.54536i
$675$	−183.736	+	745.388i	−0.272202	+	1.10428i
$676$	−341.758	+	113.108i	−0.505559	+	0.167320i
$677$	458.210	−	166.775i	0.676824	−	0.246344i	0.0193408	−	0.999813i	$-0.493843\pi$
$677$	458.210	−	166.775i	0.676824	−	0.246344i	0.657483	+	0.753469i	$0.271621\pi$
$678$	−312.477	−	590.819i	−0.460880	−	0.871414i
$679$	−22.4257	−	26.7260i	−0.0330276	−	0.0393608i
$680$	696.054	−	533.497i	1.02361	−	0.784554i
$681$	−174.399	+	447.717i	−0.256093	+	0.657440i
$682$	−417.872	+	699.771i	−0.612716	+	1.02606i
$683$	1052.67	+	607.762i	1.54125	+	0.889842i	0.998760	+	0.0497805i	$0.0158522\pi$
$683$	1052.67	+	607.762i	1.54125	+	0.889842i	0.542491	+	0.840061i	$0.317481\pi$
$684$	13.9903	−	1.40817i	0.0204536	−	0.00205872i
$685$	699.248	+	1211.13i	1.02080	+	1.76808i
$686$	−9.89146	+	671.623i	−0.0144190	+	0.979043i
$687$	−363.502	+	598.269i	−0.529115	+	0.870843i
$688$	113.775	+	381.044i	0.165370	+	0.553843i
$689$	−774.757	−	281.988i	−1.12447	−	0.409272i
$690$	−274.009	+	673.918i	−0.397114	+	0.976693i
$691$	−72.6934	−	12.8178i	−0.105200	−	0.0185496i	0.120800	−	0.992677i	$-0.461454\pi$
$691$	−72.6934	−	12.8178i	−0.105200	−	0.0185496i	−0.226000	+	0.974127i	$0.572565\pi$
$692$	−247.278	−	220.220i	−0.357338	−	0.318237i
$693$	−668.453	+	209.931i	−0.964578	+	0.302931i
$694$	116.643	−	306.360i	0.168074	−	0.441441i
$695$	651.383	−	776.288i	0.937242	−	1.11696i
$696$	101.720	+	938.445i	0.146150	+	1.34834i
$697$	−157.530	−	893.398i	−0.226012	−	1.28178i
$698$	−179.450	−	155.136i	−0.257091	−	0.222258i
$699$	−1215.72	+	411.914i	−1.73922	+	0.589290i
$700$	293.561	+	371.546i	0.419373	+	0.530781i
$701$	−807.939			−1.15255			−0.576276	−	0.817255i	$-0.695495\pi$
$701$	−807.939			−1.15255			−0.576276	+	0.817255i	$0.695495\pi$
$702$	789.590	+	363.020i	1.12477	+	0.517123i
$703$			4.35481i			0.00619461i
$704$	−1155.57	−	310.988i	−1.64143	−	0.441745i
$705$	329.976	−	375.837i	0.468052	−	0.533102i
$706$	−652.436	−	564.038i	−0.924131	−	0.798921i
$707$	593.491	−	104.649i	0.839450	−	0.148018i
$708$	842.249	+	546.335i	1.18962	+	0.771660i
$709$	−375.128	−	314.770i	−0.529094	−	0.443963i	0.338694	−	0.940896i	$-0.390015\pi$
$709$	−375.128	−	314.770i	−0.529094	−	0.443963i	−0.867788	+	0.496934i	$0.834459\pi$
$710$	454.013	−	1192.45i	0.639455	−	1.67951i
$711$	4.23425	−	94.5264i	0.00595534	−	0.132949i
$712$	−62.8040	+	98.4637i	−0.0882079	+	0.138292i
$713$	62.7760	−	356.020i	0.0880449	−	0.499327i
$714$	−371.099	+	51.3215i	−0.519747	+	0.0718788i
$715$	752.324	−	2066.99i	1.05220	−	2.89090i
$716$	6.30115	−	213.875i	0.00880049	−	0.298709i
$717$	121.728	−	66.6926i	0.169774	−	0.0930162i
$718$	−9.40593	+	638.656i	−0.0131002	+	0.889493i
$719$	−370.164	+	213.715i	−0.514832	+	0.297239i	−0.734818	−	0.678265i	$-0.762732\pi$
$719$	−370.164	+	213.715i	−0.514832	+	0.297239i	0.219985	+	0.975503i	$0.429399\pi$
$720$	1021.08	−	255.721i	1.41816	−	0.355168i
$721$	−7.58616	+	13.1396i	−0.0105217	+	0.0182242i
$722$	−370.012	+	619.624i	−0.512482	+	0.858206i
$723$	−116.157	−	757.533i	−0.160660	−	1.04776i
$724$	123.119	+	228.539i	0.170055	+	0.315661i
$725$	−856.673	+	718.834i	−1.18162	+	0.991495i
$726$	1370.79	+	50.8918i	1.88814	+	0.0700989i
$727$	−405.970	−	1115.39i	−0.558418	−	1.53424i	−0.821932	−	0.569585i	$-0.807104\pi$
$727$	−405.970	−	1115.39i	−0.558418	−	1.53424i	0.263514	−	0.964656i	$-0.415118\pi$
$728$	475.603	−	247.253i	0.653301	−	0.339633i
$729$	−276.689	−	674.451i	−0.379546	−	0.925173i
$730$	83.2574	+	516.547i	0.114051	+	0.707599i
$731$	−127.482	−	350.255i	−0.174394	−	0.479145i
$732$	−36.4755	−	295.787i	−0.0498300	−	0.404081i
$733$	−714.992	+	599.950i	−0.975432	+	0.818485i	−0.983394	−	0.181483i	$-0.941910\pi$
$733$	−714.992	+	599.950i	−0.975432	+	0.818485i	0.00796157	+	0.999968i	$0.497466\pi$
$734$	−403.213	−	1160.73i	−0.549337	−	1.58137i
$735$	105.248	+	686.386i	0.143194	+	0.933859i
$736$	528.089	−	53.4656i	0.717512	−	0.0726435i
$737$	−491.671	+	851.599i	−0.667125	+	1.15549i
$738$	252.497	−	1059.17i	0.342137	−	1.43519i
$739$	168.234	−	97.1298i	0.227651	−	0.131434i	−0.381837	−	0.924230i	$-0.624708\pi$
$739$	168.234	−	97.1298i	0.227651	−	0.131434i	0.609488	+	0.792795i	$0.291375\pi$
$740$	47.1307	+	322.579i	0.0636902	+	0.435917i
$741$	16.5379	−	9.06084i	0.0223184	−	0.0122279i
$742$	418.978	+	80.2562i	0.564661	+	0.108162i
$743$	−237.223	+	651.765i	−0.319277	+	0.877207i	0.671414	+	0.741082i	$0.265687\pi$
$743$	−237.223	+	651.765i	−0.319277	+	0.877207i	−0.990692	+	0.136125i	$0.956535\pi$
$744$	−469.387	+	230.828i	−0.630897	+	0.310252i
$745$	76.0407	−	431.248i	0.102068	−	0.578857i
$746$	930.796	−	757.955i	1.24772	−	1.01603i
$747$	−40.6051	+	906.478i	−0.0543575	+	1.21349i
$748$	1098.40	+	227.218i	1.46844	+	0.303767i
$749$	378.007	+	317.185i	0.504682	+	0.423479i
$750$	111.681	+	101.004i	0.148908	+	0.134672i
$751$	826.362	−	145.710i	1.10035	−	0.194021i	0.406152	−	0.913806i	$-0.366871\pi$
$751$	826.362	−	145.710i	1.10035	−	0.194021i	0.694198	+	0.719785i	$0.255759\pi$
$752$	−355.010	−	84.4122i	−0.472087	−	0.112250i
$753$	941.029	−	1071.81i	1.24971	−	1.42339i
$754$	616.754	+	1105.53i	0.817976	+	1.46623i
$755$			517.988i			0.686077i
$756$	−433.227	−	120.428i	−0.573052	−	0.159296i
$757$	−851.184			−1.12442			−0.562209	−	0.826995i	$-0.690048\pi$
$757$	−851.184			−1.12442			−0.562209	+	0.826995i	$0.690048\pi$
$758$	24.7216	−	13.7917i	0.0326142	−	0.0181948i
$759$	−881.239	+	298.585i	−1.16105	+	0.393392i
$760$	8.75228	−	21.0972i	0.0115162	−	0.0277595i
$761$	−110.424	−	626.247i	−0.145104	−	0.822926i	−0.967284	−	0.253698i	$-0.918353\pi$
$761$	−110.424	−	626.247i	−0.145104	−	0.822926i	0.822179	−	0.569228i	$-0.192758\pi$
$762$	−62.6835	−	13.4681i	−0.0822618	−	0.0176747i
$763$	559.423	−	666.694i	0.733188	−	0.873780i
$764$	−833.480	−	172.416i	−1.09094	−	0.225676i
$765$	−941.284	+	295.616i	−1.23044	+	0.386426i
$766$	457.810	+	562.207i	0.597663	+	0.733951i
$767$	1325.93	+	233.796i	1.72872	+	0.304819i
$768$	−513.568	−	571.027i	−0.668708	−	0.743525i
$769$	−233.035	−	84.8179i	−0.303037	−	0.110296i	0.186026	−	0.982545i	$-0.440439\pi$
$769$	−233.035	−	84.8179i	−0.303037	−	0.110296i	−0.489063	+	0.872248i	$0.662661\pi$
$770$	−214.117	+	1117.80i	−0.278075	+	1.45169i
$771$	71.7917	−	118.158i	0.0931151	−	0.153253i
$772$	−8.64995	−	59.2032i	−0.0112046	−	0.0766881i
$773$	−346.850	−	600.761i	−0.448706	−	0.777181i	0.549596	−	0.835430i	$-0.314782\pi$
$773$	−346.850	−	600.761i	−0.448706	−	0.777181i	−0.998302	+	0.0582491i	$0.981448\pi$
$774$	26.5991	−	446.584i	0.0343658	−	0.576982i
$775$	−536.673	−	309.848i	−0.692481	−	0.399804i
$776$	−14.5453	+	65.4401i	−0.0187439	+	0.0843300i
$777$	50.5472	−	129.765i	0.0650543	−	0.167007i
$778$	730.666	−	253.819i	0.939159	−	0.326246i
$779$	−15.1871	−	18.0993i	−0.0194957	−	0.0232340i
$780$	1126.97	−	850.159i	1.44483	−	1.08995i
$781$	1533.51	−	558.152i	1.96352	−	0.714663i
$782$	−491.169	+	79.1669i	−0.628093	+	0.101236i
$783$	254.157	−	1031.07i	0.324593	−	1.31682i
$784$	406.616	−	302.254i	0.518643	−	0.385528i
$785$	−470.857	+	171.378i	−0.599818	+	0.218316i
$786$	324.557	+	203.801i	0.412923	+	0.259289i
$787$	140.899	+	167.917i	0.179033	+	0.213363i	0.848096	−	0.529843i	$-0.177749\pi$
$787$	140.899	+	167.917i	0.179033	+	0.213363i	−0.669063	+	0.743205i	$0.733305\pi$
$788$	−130.720	−	242.646i	−0.165888	−	0.307927i
$789$	−300.212	−	374.490i	−0.380497	−	0.474639i
$790$	−131.964	−	78.8033i	−0.167044	−	0.0997510i
$791$	401.648	+	231.892i	0.507773	+	0.293163i
$792$	1101.50	+	774.038i	1.39079	+	0.977321i
$793$	−199.845	−	346.141i	−0.252011	−	0.436496i
$794$	−301.873	−	4.44590i	−0.380193	−	0.00559937i
$795$	1123.18	+	25.1435i	1.41281	+	0.0316270i
$796$	−6.49500	+	220.455i	−0.00815954	+	0.276953i
$797$	416.664	+	151.653i	0.522791	+	0.190280i	0.589917	−	0.807464i	$-0.299161\pi$
$797$	416.664	+	151.653i	0.522791	+	0.190280i	−0.0671257	+	0.997745i	$0.521383\pi$
$798$	−7.70187	+	5.99009i	−0.00965146	+	0.00750638i
$799$	336.831	+	59.3924i	0.421566	+	0.0743334i
$800$	223.487	−	881.992i	0.279359	−	1.10249i
$801$	104.326	−	79.8651i	0.130245	−	0.0997068i
$802$	420.881	+	160.246i	0.524789	+	0.199808i
$803$	−430.140	+	512.621i	−0.535667	+	0.638383i
$804$	−562.148	+	286.800i	−0.699190	+	0.356717i
$805$	−87.6602	−	497.146i	−0.108895	−	0.617572i
$806$	−458.782	+	530.683i	−0.569208	+	0.658416i
$807$	−239.543	+	1200.71i	−0.296831	+	1.48787i
$808$	−853.319	−	782.782i	−1.05609	−	0.968789i
$809$	244.622			0.302376			0.151188	−	0.988505i	$-0.451690\pi$
$809$	244.622			0.302376			0.151188	+	0.988505i	$0.451690\pi$
$810$	−1177.76	−	123.235i	−1.45402	−	0.152141i
$811$			1469.40i			1.81184i	0.423453	+	0.905918i	$0.360818\pi$
$811$			1469.40i			1.81184i	−0.423453	+	0.905918i	$0.639182\pi$
$812$	−406.073	−	513.948i	−0.500090	−	0.632941i
$813$	27.1693	+	5.42028i	0.0334185	+	0.00666701i
$814$	−272.686	+	315.422i	−0.334995	+	0.387497i
$815$	−1200.63	+	211.704i	−1.47317	+	0.259760i
$816$	512.041	+	505.956i	0.627502	+	0.620044i
$817$	−7.43647	−	6.23994i	−0.00910216	−	0.00763762i
$818$	182.962	+	69.6608i	0.223670	+	0.0851599i
$819$	−597.967	+	78.0359i	−0.730119	+	0.0952819i
$820$	−1320.86	−	1176.33i	−1.61080	−	1.43454i
$821$	29.3718	−	166.576i	0.0357757	−	0.202894i	−0.961681	−	0.274171i	$-0.911596\pi$
$821$	29.3718	−	166.576i	0.0357757	−	0.202894i	0.997457	+	0.0712774i	$0.0227075\pi$
$822$	−906.117	+	704.728i	−1.10233	+	0.857333i
$823$	−307.283	+	844.254i	−0.373370	+	1.02583i	0.600680	+	0.799490i	$0.294897\pi$
$823$	−307.283	+	844.254i	−0.373370	+	1.02583i	−0.974049	+	0.226335i	$0.927326\pi$
$824$	28.9060	−	3.78947i	0.0350800	−	0.00459887i
$825$	−35.6956	+	1594.55i	−0.0432674	+	1.93279i
$826$	−696.558	−	10.2587i	−0.843291	−	0.0124197i
$827$	1161.59	−	670.645i	1.40459	−	0.810938i	0.409726	−	0.912209i	$-0.365624\pi$
$827$	1161.59	−	670.645i	1.40459	−	0.810938i	0.994859	+	0.101271i	$0.0322909\pi$
$828$	−578.758	−	147.011i	−0.698983	−	0.177550i
$829$	557.477	−	965.578i	0.672469	−	1.16475i	−0.304733	−	0.952438i	$-0.598567\pi$
$829$	557.477	−	965.578i	0.672469	−	1.16475i	0.977202	−	0.212313i	$-0.0680995\pi$
$830$	1265.50	+	755.698i	1.52469	+	0.910480i
$831$	−183.080	+	146.767i	−0.220313	+	0.176615i
$832$	−933.000	−	436.307i	−1.12139	−	0.524408i
$833$	−363.781	+	305.248i	−0.436712	+	0.366445i
$834$	704.426	+	442.334i	0.844636	+	0.530377i
$835$	−197.194	−	541.786i	−0.236160	−	0.648845i
$836$	27.7333	−	9.17861i	0.0331738	−	0.0109792i
$837$	585.068	−	63.0710i	0.699006	−	0.0753536i
$838$	−104.726	+	16.8798i	−0.124972	+	0.0201430i
$839$	−152.747	−	419.670i	−0.182059	−	0.500203i	0.814769	−	0.579785i	$-0.196864\pi$
$839$	−152.747	−	419.670i	−0.182059	−	0.500203i	−0.996828	+	0.0795824i	$0.974641\pi$
$840$	−505.680	+	527.066i	−0.602000	+	0.627459i
$841$	540.765	−	453.756i	0.643003	−	0.539543i
$842$	−756.358	+	262.744i	−0.898288	+	0.312048i
$843$	−1361.35	−	530.288i	−1.61489	−	0.629049i
$844$	243.653	−	612.660i	0.288688	−	0.725900i
$845$	328.931	−	569.726i	0.389268	−	0.674232i
$846$	342.688	+	226.035i	0.405069	+	0.267181i
$847$	−824.335	+	475.930i	−0.973241	+	0.561901i
$848$	−367.344	−	732.774i	−0.433189	−	0.864120i
$849$	546.696	+	332.166i	0.643929	+	0.391244i
$850$	−160.442	+	837.588i	−0.188755	+	0.985398i
$851$	63.2528	−	173.786i	0.0743276	−	0.204213i
$852$	1020.61	+	235.062i	1.19790	+	0.275894i
$853$	−7.00887	+	39.7493i	−0.00821673	+	0.0465994i	−0.988640	−	0.150300i	$-0.951976\pi$
$853$	−7.00887	+	39.7493i	−0.00821673	+	0.0465994i	0.980424	+	0.196899i	$0.0630872\pi$
$854$	130.584	+	160.362i	0.152909	+	0.187777i
$855$	−17.3812	+	18.9252i	−0.0203289	+	0.0221348i
$856$	41.8760	−	947.234i	0.0489205	−	1.10658i
$857$	166.999	+	140.129i	0.194865	+	0.163511i	0.735000	−	0.678067i	$-0.237182\pi$
$857$	166.999	+	140.129i	0.194865	+	0.163511i	−0.540135	+	0.841579i	$0.681627\pi$
$858$	1765.22	+	379.274i	2.05736	+	0.442044i
$859$	−1612.96	+	284.408i	−1.87772	+	0.331093i	−0.991282	−	0.131757i	$-0.957938\pi$
$859$	−1612.96	+	284.408i	−1.87772	+	0.331093i	−0.886437	+	0.462849i	$0.846827\pi$
$860$	−618.383	−	381.735i	−0.719050	−	0.443878i
$861$	242.463	+	715.603i	0.281607	+	0.831130i
$862$	777.862	−	433.953i	0.902392	−	0.503425i
$863$		−	859.974i		−	0.996494i	−0.867035	−	0.498247i	$-0.833977\pi$
$863$		−	859.974i		−	0.996494i	0.867035	−	0.498247i	$-0.166023\pi$
$864$	322.736	+	801.460i	0.373537	+	0.927615i
$865$	605.113			0.699553
$866$	50.8146	+	91.0853i	0.0586774	+	0.105179i
$867$	144.499	+	126.867i	0.166665	+	0.146328i
$868$	190.661	−	308.857i	0.219656	−	0.355826i
$869$	−34.1363	−	193.596i	−0.0392822	−	0.222781i
$870$	−1279.39	−	1157.08i	−1.47056	−	1.32997i
$871$	−544.027	+	648.346i	−0.624600	+	0.744369i
$872$	−1670.65	−	73.8570i	−1.91588	−	0.0846984i
$873$	40.5933	−	63.5599i	0.0464986	−	0.0728063i
$874$	−10.0474	+	8.18172i	−0.0114959	+	0.00936123i
$875$	−102.902	−	18.1444i	−0.117602	−	0.0207365i
$876$	−410.630	+	125.778i	−0.468756	+	0.143582i
$877$	−356.422	−	129.727i	−0.406411	−	0.147921i	0.130722	−	0.991419i	$-0.458270\pi$
$877$	−356.422	−	129.727i	−0.406411	−	0.147921i	−0.537133	+	0.843498i	$0.680493\pi$
$878$	−939.430	−	179.950i	−1.06997	−	0.204954i
$879$	−236.587	−	431.820i	−0.269155	−	0.491263i
$880$	1954.99	−	980.047i	2.22157	−	1.11369i
$881$	−41.1847	−	71.3340i	−0.0467477	−	0.0809693i	0.841705	−	0.539938i	$-0.181552\pi$
$881$	−41.1847	−	71.3340i	−0.0467477	−	0.0809693i	−0.888452	+	0.458969i	$0.848219\pi$
$882$	−546.250	+	162.755i	−0.619331	+	0.184530i
$883$	328.446	+	189.629i	0.371967	+	0.214755i	0.674317	−	0.738442i	$-0.264438\pi$
$883$	328.446	+	189.629i	0.371967	+	0.214755i	−0.302351	+	0.953197i	$0.597771\pi$
$884$	897.059	+	356.757i	1.01477	+	0.403572i
$885$	−1813.43	+	278.064i	−2.04907	+	0.314196i
$886$	42.8280	+	123.289i	0.0483386	+	0.139152i
$887$	257.770	+	307.198i	0.290609	+	0.346334i	0.891520	−	0.452982i	$-0.149640\pi$
$887$	257.770	+	307.198i	0.290609	+	0.346334i	−0.600911	+	0.799316i	$0.705195\pi$
$888$	−256.981	+	74.5933i	−0.289394	+	0.0840014i
$889$	41.8063	−	15.2163i	0.0470262	−	0.0171162i
$890$	−33.9616	−	210.705i	−0.0381591	−	0.236747i
$891$	−865.903	−	1242.61i	−0.971833	−	1.39463i
$892$	480.069	+	1450.54i	0.538194	+	1.62616i
$893$	8.37069	−	3.04668i	0.00937367	−	0.00341174i
$894$	359.188	+	13.3352i	0.401776	+	0.0149163i
$895$	251.341	+	299.536i	0.280827	+	0.334677i
$896$	512.518	+	146.057i	0.572006	+	0.163010i
$897$	−791.579	+	121.377i	−0.882473	+	0.135315i
$898$	−220.488	+	369.230i	−0.245532	+	0.411169i
$899$	742.362	+	428.603i	0.825765	+	0.476755i
$900$	−576.121	+	846.073i	−0.640135	+	0.940081i
$901$	384.150	+	665.367i	0.426359	+	0.738476i
$902$	33.3129	−	2261.92i	0.0369323	−	2.50768i
$903$	149.163	+	272.254i	0.165187	+	0.301500i
$904$	−115.835	−	883.590i	−0.128137	−	0.977423i
$905$	−445.784	−	162.252i	−0.492579	−	0.179284i
$906$	−421.164	+	58.2452i	−0.464861	+	0.0642883i
$907$	131.754	+	23.2317i	0.145263	+	0.0256138i	0.245807	−	0.969319i	$-0.420947\pi$
$907$	131.754	+	23.2317i	0.145263	+	0.0256138i	−0.100544	+	0.994933i	$0.532058\pi$
$908$	−426.073	+	478.423i	−0.469244	+	0.526898i
$909$	600.221	+	1156.21i	0.660310	+	1.27195i
$910$	−348.554	+	915.466i	−0.383026	+	1.00601i
$911$	264.618	−	315.359i	0.290469	−	0.346168i	−0.601000	−	0.799249i	$-0.705231\pi$
$911$	264.618	−	315.359i	0.290469	−	0.346168i	0.891469	+	0.453081i	$0.149675\pi$
$912$	18.1378	+	4.74399i	0.0198880	+	0.00520174i
$913$	327.356	+	1856.53i	0.358550	+	2.03344i
$914$	−1177.75	−	1018.18i	−1.28857	−	1.11398i
$915$	409.272	+	359.332i	0.447292	+	0.392712i
$916$	−732.377	+	578.655i	−0.799538	+	0.631719i
$917$	−265.934			−0.290004
$918$	−346.201	−	732.096i	−0.377125	−	0.797490i
$919$		−	651.417i		−	0.708832i	−0.935088	−	0.354416i	$-0.884680\pi$
$919$		−	651.417i		−	0.708832i	0.935088	−	0.354416i	$-0.115320\pi$
$920$	−655.707	+	714.794i	−0.712725	+	0.776950i
$921$	308.872	+	911.603i	0.335366	+	0.989796i
$922$	67.0265	+	57.9451i	0.0726968	+	0.0628472i
$923$	1383.25	−	243.904i	1.49864	−	0.264251i
$924$	−932.935	−	48.4025i	−1.00967	−	0.0523837i
$925$	−242.850	−	203.775i	−0.262540	−	0.220297i
$926$	581.631	−	1527.64i	0.628111	−	1.64972i
$927$	−32.0120	−	7.13488i	−0.0345329	−	0.00769675i
$928$	−309.143	+	1220.03i	−0.333128	+	1.31469i
$929$	−155.604	+	882.473i	−0.167496	+	0.949917i	0.778958	+	0.627077i	$0.215749\pi$
$929$	−155.604	+	882.473i	−0.167496	+	0.949917i	−0.946454	+	0.322840i	$0.895362\pi$
$930$	360.034	−	885.497i	0.387134	−	0.952147i
$931$	−4.23011	+	11.6221i	−0.00454362	+	0.0124835i
$932$	−1710.73	−	50.4012i	−1.83555	−	0.0540785i
$933$	1062.78	+	645.733i	1.13910	+	0.692104i
$934$	−13.3581	+	907.002i	−0.0143020	+	0.971095i
$935$	−1775.15	+	1024.88i	−1.89855	+	1.09613i
$936$	817.966	+	820.715i	0.873895	+	0.876833i
$937$	−442.521	+	766.469i	−0.472275	+	0.818003i	−0.999497	−	0.0317240i	$-0.989900\pi$
$937$	−442.521	+	766.469i	−0.472275	+	0.818003i	0.527222	+	0.849727i	$0.323234\pi$
$938$	224.518	−	375.980i	0.239359	−	0.400831i
$939$	190.057	+	74.0328i	0.202403	+	0.0788422i
$940$	587.078	−	316.274i	0.624551	−	0.336461i
$941$	127.082	−	106.635i	0.135050	−	0.113321i	−0.572760	−	0.819723i	$-0.694127\pi$
$941$	127.082	−	106.635i	0.135050	−	0.113321i	0.707811	+	0.706402i	$0.249683\pi$
$942$	−192.289	−	363.572i	−0.204128	−	0.385958i
$943$	343.177	+	942.872i	0.363921	+	0.999864i
$944$	798.554	+	1074.28i	0.845926	+	1.13801i
$945$	737.594	−	362.187i	0.780523	−	0.383266i
$946$	−147.902	−	917.615i	−0.156344	−	0.969994i
$947$	140.590	+	386.269i	0.148459	+	0.407887i	0.991524	−	0.129924i	$-0.0414735\pi$
$947$	140.590	+	386.269i	0.148459	+	0.407887i	−0.843065	+	0.537811i	$0.819251\pi$
$948$	49.2344	−	116.158i	0.0519350	−	0.122530i
$949$	−441.209	+	370.219i	−0.464920	+	0.390114i
$950$	7.28846	+	20.9812i	0.00767207	+	0.0220855i
$951$	1295.48	−	1038.53i	1.36223	−	1.09204i
$952$	−487.609	−	108.380i	−0.512194	−	0.113844i
$953$	673.325	−	1166.23i	0.706532	−	1.22375i	−0.259604	−	0.965715i	$-0.583592\pi$
$953$	673.325	−	1166.23i	0.706532	−	1.22375i	0.966136	−	0.258034i	$-0.0830746\pi$
$954$	105.853	+	916.061i	0.110957	+	0.960232i
$955$	1347.01	−	777.696i	1.41048	−	0.814342i
$956$	183.123	−	26.7554i	0.191551	−	0.0279868i
$957$	49.3766	−	2205.70i	0.0515952	−	2.30480i
$958$	−1206.52	−	231.111i	−1.25941	−	0.241243i
$959$	272.434	−	748.506i	0.284081	−	0.780507i
$960$	1394.89	+	155.107i	1.45301	+	0.161570i
$961$	84.3912	−	478.606i	0.0878160	−	0.498029i
$962$	−278.275	+	226.602i	−0.289268	+	0.235553i
$963$	−409.315	+	985.021i	−0.425041	+	1.02287i
$964$	207.001	−	1000.66i	0.214731	−	1.03803i
$965$	83.7591	+	70.2822i	0.0867970	+	0.0728313i
$966$	394.360	−	127.176i	0.408241	−	0.131652i
$967$	−714.553	+	125.995i	−0.738938	+	0.130295i	−0.530433	−	0.847727i	$-0.677971\pi$
$967$	−714.553	+	125.995i	−0.738938	+	0.130295i	−0.208505	+	0.978021i	$0.566860\pi$
$968$	1689.37	+	700.844i	1.74522	+	0.724012i
$969$	−17.2329	−	3.43796i	−0.0177842	−	0.00354795i
$970$	−59.6845	−	106.985i	−0.0615304	−	0.110294i
$971$		−	1795.99i		−	1.84963i	−0.380419	−	0.924814i	$-0.624220\pi$
$971$		−	1795.99i		−	1.84963i	0.380419	−	0.924814i	$-0.375780\pi$
$972$	−32.2341	−	971.465i	−0.0331626	−	0.999450i
$973$	−577.188			−0.593205
$974$	−1153.78	+	643.669i	−1.18458	+	0.660851i
$975$	−268.575	+	1346.24i	−0.275461	+	1.38075i
$976$	91.9216	−	386.592i	0.0941820	−	0.396098i
$977$	132.058	+	748.936i	0.135166	+	0.766567i	0.974744	+	0.223327i	$0.0716916\pi$
$977$	132.058	+	748.936i	0.135166	+	0.766567i	−0.839577	+	0.543240i	$0.817197\pi$
$978$	−307.137	−	952.402i	−0.314046	−	0.973826i
$979$	175.459	−	209.104i	0.179223	−	0.213589i
$980$	−187.559	+	906.682i	−0.191387	+	0.925185i
$981$	1737.29	+	721.912i	1.77094	+	0.735894i
$982$	912.085	+	1120.07i	0.928804	+	1.14060i
$983$	−994.218	−	175.308i	−1.01141	−	0.178339i	−0.356701	−	0.934219i	$-0.616099\pi$
$983$	−994.218	−	175.308i	−1.01141	−	0.178339i	−0.654711	+	0.755879i	$0.727210\pi$
$984$	807.918	−	1206.23i	0.821055	−	1.22584i
$985$	473.302	+	172.268i	0.480510	+	0.174891i
$986$	221.934	−	1158.61i	0.225085	−	1.17506i
$987$	−284.793	−	6.37536i	−0.288544	−	0.00645933i
$988$	24.8790	−	3.63498i	0.0251812	−	0.00367913i
$989$	206.130	+	357.028i	0.208423	+	0.360999i
$990$	−2443.98	+	282.407i	−2.46867	+	0.285260i
$991$	−892.014	−	515.005i	−0.900115	−	0.519682i	−0.0228778	−	0.999738i	$-0.507283\pi$
$991$	−892.014	−	515.005i	−0.900115	−	0.519682i	−0.877238	+	0.480056i	$0.840616\pi$
$992$	−693.884	+	70.2513i	−0.699480	+	0.0708179i
$993$	−739.571	−	922.554i	−0.744784	−	0.929058i
$994$	−686.508	+	238.480i	−0.690652	+	0.239919i
$995$	−259.073	−	308.751i	−0.260375	−	0.310302i
$996$	−472.142	+	1113.92i	−0.474038	+	1.11839i
$997$	707.962	−	257.677i	0.710092	−	0.258452i	0.0383783	−	0.999263i	$-0.487781\pi$
$997$	707.962	−	257.677i	0.710092	−	0.258452i	0.671714	+	0.740811i	$0.265559\pi$
$998$	−460.956	+	74.2972i	−0.461879	+	0.0744461i
$999$	300.359	+	20.1984i	0.300659	+	0.0202186i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	108.3.j.a.7.14	✓	204
3.2	odd	2		324.3.j.a.19.21		204
4.3	odd	2	inner	108.3.j.a.7.21	yes	204
12.11	even	2		324.3.j.a.19.14		204
27.4	even	9	inner	108.3.j.a.31.21	yes	204
27.23	odd	18		324.3.j.a.307.14		204
108.23	even	18		324.3.j.a.307.21		204
108.31	odd	18	inner	108.3.j.a.31.14	yes	204

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
108.3.j.a.7.14	✓	204	1.1	even	1	trivial
108.3.j.a.7.21	yes	204	4.3	odd	2	inner
108.3.j.a.31.14	yes	204	108.31	odd	18	inner
108.3.j.a.31.21	yes	204	27.4	even	9	inner
324.3.j.a.19.14		204	12.11	even	2
324.3.j.a.19.21		204	3.2	odd	2
324.3.j.a.307.14		204	27.23	odd	18
324.3.j.a.307.21		204	108.23	even	18

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:	\( N \)	\(=\)	\( 108 = 2^{2} \cdot 3^{3} \)
Weight:	\( k \)	\(=\)	\( 3 \)
Character orbit:	\([\chi]\)	\(=\)	108.j (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.974385 - 1.74659i) q^{2} +(-0.586935 + 2.94202i) q^{3} +(-2.10115 + 3.40370i) q^{4} +(-1.26933 - 7.19876i) q^{5} +(5.71041 - 1.84153i) q^{6} +(-2.67622 + 3.18940i) q^{7} +(7.99219 + 0.353324i) q^{8} +(-8.31101 - 3.45355i) q^{9} +O(q^{10})\)	\(q+(-0.974385 - 1.74659i) q^{2} +(-0.586935 + 2.94202i) q^{3} +(-2.10115 + 3.40370i) q^{4} +(-1.26933 - 7.19876i) q^{5} +(5.71041 - 1.84153i) q^{6} +(-2.67622 + 3.18940i) q^{7} +(7.99219 + 0.353324i) q^{8} +(-8.31101 - 3.45355i) q^{9} +(-11.3364 + 9.23137i) q^{10} +(-18.4141 - 3.24691i) q^{11} +(-8.78054 - 8.17938i) q^{12} +(-15.1228 - 5.50426i) q^{13} +(8.17823 + 1.56656i) q^{14} +(21.9239 + 0.490788i) q^{15} +(-7.17036 - 14.3034i) q^{16} +(7.49839 + 12.9876i) q^{17} +(2.06619 + 17.8810i) q^{18} +(0.338254 + 0.195291i) q^{19} +(27.1695 + 10.8052i) q^{20} +(-7.81251 - 9.74547i) q^{21} +(12.2714 + 35.3257i) q^{22} +(-10.6620 - 12.7065i) q^{23} +(-5.73039 + 23.3059i) q^{24} +(-26.7186 + 9.72476i) q^{25} +(5.12179 + 31.7767i) q^{26} +(15.0385 - 22.4242i) q^{27} +(-5.23262 - 15.8104i) q^{28} +(36.9589 - 13.4520i) q^{29} +(-20.5052 - 38.7703i) q^{30} +(14.0094 + 16.6957i) q^{31} +(-17.9954 + 26.4607i) q^{32} +(20.3604 - 52.2691i) q^{33} +(15.3777 - 25.7515i) q^{34} +(26.3567 + 15.2170i) q^{35} +(29.2175 - 21.0318i) q^{36} +(5.57476 + 9.65577i) q^{37} +(0.0115035 - 0.781080i) q^{38} +(25.0698 - 41.2611i) q^{39} +(-7.60128 - 57.9823i) q^{40} +(-56.8435 - 20.6894i) q^{41} +(-9.40894 + 23.1411i) q^{42} +(-24.4766 - 4.31589i) q^{43} +(49.7423 - 55.8540i) q^{44} +(-14.3118 + 64.2127i) q^{45} +(-11.8041 + 31.0032i) q^{46} +(14.6599 - 17.4709i) q^{47} +(46.2893 - 12.7002i) q^{48} +(5.49867 + 31.1845i) q^{49} +(43.0193 + 37.1907i) q^{50} +(-42.6109 + 14.4376i) q^{51} +(50.5102 - 39.9084i) q^{52} +51.2309 q^{53} +(-53.8191 - 4.41622i) q^{54} +136.680i q^{55} +(-22.5158 + 24.5447i) q^{56} +(-0.773085 + 0.880529i) q^{57} +(-59.5073 - 51.4447i) q^{58} +(-82.3895 + 14.5275i) q^{59} +(-47.7359 + 73.5913i) q^{60} +(19.0252 + 15.9640i) q^{61} +(15.5101 - 40.7367i) q^{62} +(33.2569 - 17.2646i) q^{63} +(63.7503 + 5.64767i) q^{64} +(-20.4279 + 115.852i) q^{65} +(-111.131 + 15.3690i) q^{66} +(17.9869 - 49.4186i) q^{67} +(-59.9611 - 1.76656i) q^{68} +(43.6407 - 23.9100i) q^{69} +(0.896351 - 60.8616i) q^{70} +(-75.5843 + 43.6386i) q^{71} +(-65.2030 - 30.5380i) q^{72} +(17.8942 - 30.9937i) q^{73} +(11.4327 - 19.1453i) q^{74} +(-12.9284 - 84.3145i) q^{75} +(-1.37543 + 0.740981i) q^{76} +(59.6359 - 50.0405i) q^{77} +(-96.4939 - 3.58242i) q^{78} +(3.59582 + 9.87943i) q^{79} +(-93.8648 + 69.7734i) q^{80} +(57.1459 + 57.4051i) q^{81} +(19.2517 + 119.442i) q^{82} +(-34.4827 - 94.7405i) q^{83} +(49.5859 - 6.11478i) q^{84} +(83.9766 - 70.4647i) q^{85} +(16.3116 + 46.9559i) q^{86} +(17.8835 + 116.630i) q^{87} +(-146.022 - 32.4561i) q^{88} +(-7.29925 + 12.6427i) q^{89} +(126.098 - 37.5710i) q^{90} +(58.0273 - 33.5021i) q^{91} +(65.6516 - 9.59210i) q^{92} +(-57.3419 + 31.4166i) q^{93} +(-44.7989 - 8.58133i) q^{94} +(0.976496 - 2.68290i) q^{95} +(-67.2858 - 68.4735i) q^{96} +(-1.45511 + 8.25233i) q^{97} +(49.1087 - 39.9897i) q^{98} +(141.827 + 90.5793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9	\( 204 q - 6 q^{2} - 6 q^{4} - 12 q^{5} - 6 q^{6} - 3 q^{8} - 12 q^{9} - 3 q^{10} + 39 q^{12} - 12 q^{13} + 39 q^{14} - 6 q^{16} - 6 q^{17} - 27 q^{18} - 69 q^{20} - 12 q^{21} - 6 q^{22} - 138 q^{24} - 12 q^{25} - 174 q^{26} - 12 q^{28} + 60 q^{29} - 153 q^{30} - 96 q^{32} + 48 q^{33} + 6 q^{34} + 24 q^{36} - 6 q^{37} + 72 q^{38} + 69 q^{40} - 192 q^{41} - 126 q^{42} - 219 q^{44} - 132 q^{45} - 3 q^{46} - 219 q^{48} - 12 q^{49} - 165 q^{50} + 21 q^{52} - 24 q^{53} + 78 q^{54} + 99 q^{56} - 150 q^{57} - 141 q^{58} + 210 q^{60} - 12 q^{61} + 294 q^{62} - 3 q^{64} - 156 q^{65} + 393 q^{66} + 375 q^{68} - 60 q^{69} - 165 q^{70} + 228 q^{72} - 6 q^{73} + 447 q^{74} - 54 q^{76} + 132 q^{77} + 750 q^{78} + 798 q^{80} + 228 q^{81} - 12 q^{82} + 762 q^{84} + 138 q^{85} + 606 q^{86} - 198 q^{88} - 114 q^{89} + 894 q^{90} + 723 q^{92} - 1020 q^{93} - 357 q^{94} + 474 q^{96} + 168 q^{97} + 510 q^{98}+O(q^{100}) \) 204 * q - 6 * q^2 - 6 * q^4 - 12 * q^5 - 6 * q^6 - 3 * q^8 - 12 * q^9 - 3 * q^10 + 39 * q^12 - 12 * q^13 + 39 * q^14 - 6 * q^16 - 6 * q^17 - 27 * q^18 - 69 * q^20 - 12 * q^21 - 6 * q^22 - 138 * q^24 - 12 * q^25 - 174 * q^26 - 12 * q^28 + 60 * q^29 - 153 * q^30 - 96 * q^32 + 48 * q^33 + 6 * q^34 + 24 * q^36 - 6 * q^37 + 72 * q^38 + 69 * q^40 - 192 * q^41 - 126 * q^42 - 219 * q^44 - 132 * q^45 - 3 * q^46 - 219 * q^48 - 12 * q^49 - 165 * q^50 + 21 * q^52 - 24 * q^53 + 78 * q^54 + 99 * q^56 - 150 * q^57 - 141 * q^58 + 210 * q^60 - 12 * q^61 + 294 * q^62 - 3 * q^64 - 156 * q^65 + 393 * q^66 + 375 * q^68 - 60 * q^69 - 165 * q^70 + 228 * q^72 - 6 * q^73 + 447 * q^74 - 54 * q^76 + 132 * q^77 + 750 * q^78 + 798 * q^80 + 228 * q^81 - 12 * q^82 + 762 * q^84 + 138 * q^85 + 606 * q^86 - 198 * q^88 - 114 * q^89 + 894 * q^90 + 723 * q^92 - 1020 * q^93 - 357 * q^94 + 474 * q^96 + 168 * q^97 + 510 * q^98

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