LMFDB - Embedded newform 342.2.v.b.283.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [342,2,Mod(25,342)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(342, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([12, 14]))

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

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

chi := DirichletCharacter("342.25");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 342 = 2 \cdot 3^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	342.v (of order $9$, 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:	$2.73088374913$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$11$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			283.6
Character	$\chi$	$=$	342.283
Dual form			342.2.v.b.313.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.939693 + 0.342020i) q^{2} +(-0.492020 - 1.66070i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.233610 + 1.32487i) q^{5} +(1.03034 + 1.39226i) q^{6} +(-1.06731 + 1.84864i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.51583 + 1.63419i) q^{9} +O(q^{10})$	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.492020 - 1.66070i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.233610 + 1.32487i) q^{5} +(1.03034 + 1.39226i) q^{6} +(-1.06731 + 1.84864i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.51583 + 1.63419i) q^{9} +(-0.233610 - 1.32487i) q^{10} -2.73688 q^{11} +(-1.44439 - 0.955904i) q^{12} +(-0.864711 - 4.90402i) q^{13} +(0.370673 - 2.10219i) q^{14} +(2.31515 - 0.263906i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.11005 + 6.29541i) q^{17} +(1.80518 - 2.39610i) q^{18} +(-1.23545 + 4.18015i) q^{19} +(0.672653 + 1.16507i) q^{20} +(3.59516 + 0.862914i) q^{21} +(2.57183 - 0.936068i) q^{22} +(-3.78522 + 3.17617i) q^{23} +(1.68422 + 0.404247i) q^{24} +(2.99776 + 1.09110i) q^{25} +(2.48984 + 4.31252i) q^{26} +(3.95174 + 3.37398i) q^{27} +(0.370673 + 2.10219i) q^{28} +(-3.26544 + 2.74003i) q^{29} +(-2.08527 + 1.03982i) q^{30} -6.54118 q^{31} +(0.173648 + 0.984808i) q^{32} +(1.34660 + 4.54513i) q^{33} +(-1.11005 - 6.29541i) q^{34} +(-2.19987 - 1.84591i) q^{35} +(-0.876800 + 2.86901i) q^{36} +9.85251 q^{37} +(-0.268757 - 4.35061i) q^{38} +(-7.71864 + 3.84890i) q^{39} +(-1.03056 - 0.864747i) q^{40} +(-4.43547 + 1.61438i) q^{41} +(-3.67348 + 0.418745i) q^{42} +(-8.17715 - 6.86144i) q^{43} +(-2.09657 + 1.75923i) q^{44} +(-1.57737 - 3.71491i) q^{45} +(2.47063 - 4.27925i) q^{46} +(6.02204 - 5.05309i) q^{47} +(-1.72091 + 0.196168i) q^{48} +(1.22170 + 2.11604i) q^{49} -3.19015 q^{50} +(11.0009 - 1.25401i) q^{51} +(-3.81465 - 3.20087i) q^{52} +(0.488620 + 0.177843i) q^{53} +(-4.86739 - 1.81893i) q^{54} +(0.639363 - 3.62601i) q^{55} +(-1.06731 - 1.84864i) q^{56} +(7.54983 - 0.00501778i) q^{57} +(2.13136 - 3.69163i) q^{58} +(0.309965 + 0.260091i) q^{59} +(1.60387 - 1.69031i) q^{60} +(0.875115 + 4.96303i) q^{61} +(6.14670 - 2.23721i) q^{62} +(-0.335855 - 6.39505i) q^{63} +(-0.500000 - 0.866025i) q^{64} +6.69919 q^{65} +(-2.81992 - 3.81046i) q^{66} +(-3.17736 - 1.15647i) q^{67} +(3.19626 + 5.53609i) q^{68} +(7.13707 + 4.72336i) q^{69} +(2.69853 + 0.982186i) q^{70} +(-11.6256 + 4.23139i) q^{71} +(-0.157337 - 2.99587i) q^{72} +(-9.14327 - 7.67212i) q^{73} +(-9.25834 + 3.36976i) q^{74} +(0.337021 - 5.51521i) q^{75} +(1.74054 + 3.99631i) q^{76} +(2.92110 - 5.05949i) q^{77} +(5.93675 - 6.25671i) q^{78} +(-0.489401 + 2.77553i) q^{79} +(1.26417 + 0.460122i) q^{80} +(3.65882 - 8.22271i) q^{81} +(3.61583 - 3.03404i) q^{82} +(7.38003 - 12.7826i) q^{83} +(3.30873 - 1.64990i) q^{84} +(-8.08127 - 2.94134i) q^{85} +(10.0308 + 3.65090i) q^{86} +(6.15702 + 4.07476i) q^{87} +(1.36844 - 2.37021i) q^{88} +(4.33830 - 3.64027i) q^{89} +(2.75282 + 2.95138i) q^{90} +(9.98866 + 3.63558i) q^{91} +(-0.858039 + 4.86618i) q^{92} +(3.21839 + 10.8629i) q^{93} +(-3.93061 + 6.80801i) q^{94} +(-5.24954 - 2.61333i) q^{95} +(1.55003 - 0.772922i) q^{96} +(-3.38147 + 1.23076i) q^{97} +(-1.87175 - 1.57058i) q^{98} +(6.88553 - 4.47259i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q + 6 q^{3} + 6 q^{6} - 12 q^{7} - 33 q^{8} + 6 q^{9}+O(q^{10}) $ 66 * q + 6 * q^3 + 6 * q^6 - 12 * q^7 - 33 * q^8 + 6 * q^9	$ 66 q + 6 q^{3} + 6 q^{6} - 12 q^{7} - 33 q^{8} + 6 q^{9} - 3 q^{13} - 3 q^{14} - 3 q^{15} + 9 q^{17} + 6 q^{18} - 21 q^{19} + 6 q^{22} + 6 q^{23} - 3 q^{24} - 12 q^{25} + 3 q^{27} - 3 q^{28} - 18 q^{29} + 45 q^{33} + 9 q^{34} - 18 q^{35} + 6 q^{36} + 6 q^{37} - 12 q^{38} + 12 q^{39} - 12 q^{41} - 3 q^{43} - 12 q^{44} + 9 q^{45} - 18 q^{47} - 3 q^{48} - 57 q^{49} + 126 q^{50} - 36 q^{51} + 6 q^{52} - 24 q^{53} - 9 q^{54} + 36 q^{55} - 12 q^{56} + 48 q^{57} - 18 q^{58} - 39 q^{59} - 30 q^{60} - 54 q^{61} - 21 q^{62} - 54 q^{63} - 33 q^{64} + 24 q^{65} - 27 q^{66} + 6 q^{67} - 6 q^{68} - 15 q^{69} + 36 q^{70} - 24 q^{71} - 3 q^{72} - 15 q^{73} + 6 q^{74} + 15 q^{78} + 21 q^{79} + 138 q^{81} + 6 q^{82} + 12 q^{83} - 24 q^{84} - 36 q^{85} - 3 q^{86} + 30 q^{87} + 9 q^{89} - 42 q^{90} + 27 q^{91} - 12 q^{92} - 9 q^{93} - 6 q^{94} - 3 q^{95} - 30 q^{97} + 24 q^{98} - 24 q^{99}+O(q^{100}) $ 66 * q + 6 * q^3 + 6 * q^6 - 12 * q^7 - 33 * q^8 + 6 * q^9 - 3 * q^13 - 3 * q^14 - 3 * q^15 + 9 * q^17 + 6 * q^18 - 21 * q^19 + 6 * q^22 + 6 * q^23 - 3 * q^24 - 12 * q^25 + 3 * q^27 - 3 * q^28 - 18 * q^29 + 45 * q^33 + 9 * q^34 - 18 * q^35 + 6 * q^36 + 6 * q^37 - 12 * q^38 + 12 * q^39 - 12 * q^41 - 3 * q^43 - 12 * q^44 + 9 * q^45 - 18 * q^47 - 3 * q^48 - 57 * q^49 + 126 * q^50 - 36 * q^51 + 6 * q^52 - 24 * q^53 - 9 * q^54 + 36 * q^55 - 12 * q^56 + 48 * q^57 - 18 * q^58 - 39 * q^59 - 30 * q^60 - 54 * q^61 - 21 * q^62 - 54 * q^63 - 33 * q^64 + 24 * q^65 - 27 * q^66 + 6 * q^67 - 6 * q^68 - 15 * q^69 + 36 * q^70 - 24 * q^71 - 3 * q^72 - 15 * q^73 + 6 * q^74 + 15 * q^78 + 21 * q^79 + 138 * q^81 + 6 * q^82 + 12 * q^83 - 24 * q^84 - 36 * q^85 - 3 * q^86 + 30 * q^87 + 9 * q^89 - 42 * q^90 + 27 * q^91 - 12 * q^92 - 9 * q^93 - 6 * q^94 - 3 * q^95 - 30 * q^97 + 24 * q^98 - 24 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/342\mathbb{Z}\right)^\times$.

$n$	$191$	$325$
$\chi(n)$	$e\left(\frac{1}{3}\right)$	$e\left(\frac{5}{9}\right)$

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 $

$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$2$	−0.939693	+	0.342020i	−0.664463	+	0.241845i
$3$	−0.492020	−	1.66070i	−0.284068	−	0.958804i
$3$	−0.492020	−	1.66070i	−0.284068	−	0.958804i
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	−0.233610	+	1.32487i	−0.104474	+	0.592499i	0.886956	+	0.461855i	$0.152816\pi$
$5$	−0.233610	+	1.32487i	−0.104474	+	0.592499i	−0.991429	+	0.130645i	$0.958295\pi$
$6$	1.03034	+	1.39226i	0.420634	+	0.568390i
$7$	−1.06731	+	1.84864i	−0.403406	+	0.698719i	−0.994134	−	0.108151i	$-0.965507\pi$
$7$	−1.06731	+	1.84864i	−0.403406	+	0.698719i	0.590729	+	0.806870i	$0.298840\pi$
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−2.51583	+	1.63419i	−0.838611	+	0.544731i
$10$	−0.233610	−	1.32487i	−0.0738740	−	0.418960i
$11$	−2.73688			−0.825200			−0.412600	−	0.910912i	$-0.635379\pi$
$11$	−2.73688			−0.825200			−0.412600	+	0.910912i	$0.635379\pi$
$12$	−1.44439	−	0.955904i	−0.416958	−	0.275946i
$13$	−0.864711	−	4.90402i	−0.239828	−	1.36013i	−0.832204	−	0.554469i	$-0.812921\pi$
$13$	−0.864711	−	4.90402i	−0.239828	−	1.36013i	0.592377	−	0.805661i	$-0.298190\pi$
$14$	0.370673	−	2.10219i	0.0990666	−	0.561834i
$15$	2.31515	−	0.263906i	0.597768	−	0.0681404i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−1.11005	+	6.29541i	−0.269227	+	1.52686i	0.487496	+	0.873125i	$0.337911\pi$
$17$	−1.11005	+	6.29541i	−0.269227	+	1.52686i	−0.756722	+	0.653736i	$0.773201\pi$
$18$	1.80518	−	2.39610i	0.425485	−	0.564767i
$19$	−1.23545	+	4.18015i	−0.283431	+	0.958993i
$19$	−1.23545	+	4.18015i	−0.283431	+	0.958993i
$20$	0.672653	+	1.16507i	0.150410	+	0.260518i
$21$	3.59516	+	0.862914i	0.784529	+	0.188303i
$22$	2.57183	−	0.936068i	0.548315	−	0.199570i
$23$	−3.78522	+	3.17617i	−0.789272	+	0.662278i	−0.945565	−	0.325433i	$-0.894490\pi$
$23$	−3.78522	+	3.17617i	−0.789272	+	0.662278i	0.156293	+	0.987711i	$0.450046\pi$
$24$	1.68422	+	0.404247i	0.343789	+	0.0825165i
$25$	2.99776	+	1.09110i	0.599552	+	0.218219i
$26$	2.48984	+	4.31252i	0.488297	+	0.845755i
$27$	3.95174	+	3.37398i	0.760513	+	0.649323i
$28$	0.370673	+	2.10219i	0.0700506	+	0.397277i
$29$	−3.26544	+	2.74003i	−0.606377	+	0.508811i	−0.893488	−	0.449087i	$-0.851749\pi$
$29$	−3.26544	+	2.74003i	−0.606377	+	0.508811i	0.287111	+	0.957897i	$0.407305\pi$
$30$	−2.08527	+	1.03982i	−0.380716	+	0.189844i
$31$	−6.54118			−1.17483			−0.587415	−	0.809286i	$-0.699854\pi$
$31$	−6.54118			−1.17483			−0.587415	+	0.809286i	$0.699854\pi$
$32$	0.173648	+	0.984808i	0.0306970	+	0.174091i
$33$	1.34660	+	4.54513i	0.234413	+	0.791205i
$34$	−1.11005	−	6.29541i	−0.190372	−	1.07965i
$35$	−2.19987	−	1.84591i	−0.371845	−	0.312015i
$36$	−0.876800	+	2.86901i	−0.146133	+	0.478168i
$37$	9.85251			1.61974			0.809872	−	0.586607i	$-0.199537\pi$
$37$	9.85251			1.61974			0.809872	+	0.586607i	$0.199537\pi$
$38$	−0.268757	−	4.35061i	−0.0435982	−	0.705761i
$39$	−7.71864	+	3.84890i	−1.23597	+	0.616317i
$40$	−1.03056	−	0.864747i	−0.162947	−	0.136728i
$41$	−4.43547	+	1.61438i	−0.692705	+	0.252124i	−0.664293	−	0.747472i	$-0.731267\pi$
$41$	−4.43547	+	1.61438i	−0.692705	+	0.252124i	−0.0284117	+	0.999596i	$0.509045\pi$
$42$	−3.67348	+	0.418745i	−0.566831	+	0.0646137i
$43$	−8.17715	−	6.86144i	−1.24700	−	1.04636i	−0.996943	−	0.0781302i	$-0.975105\pi$
$43$	−8.17715	−	6.86144i	−1.24700	−	1.04636i	−0.250061	−	0.968230i	$-0.580451\pi$
$44$	−2.09657	+	1.75923i	−0.316070	+	0.265214i
$45$	−1.57737	−	3.71491i	−0.235140	−	0.553786i
$46$	2.47063	−	4.27925i	0.364274	−	0.630941i
$47$	6.02204	−	5.05309i	0.878405	−	0.737069i	−0.0874455	−	0.996169i	$-0.527870\pi$
$47$	6.02204	−	5.05309i	0.878405	−	0.737069i	0.965851	+	0.259100i	$0.0834259\pi$
$48$	−1.72091	+	0.196168i	−0.248391	+	0.0283144i
$49$	1.22170	+	2.11604i	0.174528	+	0.302291i
$50$	−3.19015			−0.451155
$51$	11.0009	−	1.25401i	1.54044	−	0.175597i
$52$	−3.81465	−	3.20087i	−0.528997	−	0.443881i
$53$	0.488620	+	0.177843i	0.0671172	+	0.0244287i	0.375361	−	0.926879i	$-0.377519\pi$
$53$	0.488620	+	0.177843i	0.0671172	+	0.0244287i	−0.308243	+	0.951308i	$0.599741\pi$
$54$	−4.86739	−	1.81893i	−0.662368	−	0.247525i
$55$	0.639363	−	3.62601i	0.0862116	−	0.488930i
$56$	−1.06731	−	1.84864i	−0.142625	−	0.247034i
$57$	7.54983	−	0.00501778i	1.00000	−	0.000664621i
$58$	2.13136	−	3.69163i	0.279862	−	0.484735i
$59$	0.309965	+	0.260091i	0.0403540	+	0.0338610i	0.662742	−	0.748848i	$-0.269393\pi$
$59$	0.309965	+	0.260091i	0.0403540	+	0.0338610i	−0.622388	+	0.782709i	$0.713837\pi$
$60$	1.60387	−	1.69031i	0.207059	−	0.218218i
$61$	0.875115	+	4.96303i	0.112047	+	0.635450i	0.988170	+	0.153363i	$0.0490103\pi$
$61$	0.875115	+	4.96303i	0.112047	+	0.635450i	−0.876123	+	0.482088i	$0.839879\pi$
$62$	6.14670	−	2.23721i	0.780631	−	0.284126i
$63$	−0.335855	−	6.39505i	−0.0423137	−	0.805701i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	6.69919			0.830932
$66$	−2.81992	−	3.81046i	−0.347108	−	0.469035i
$67$	−3.17736	−	1.15647i	−0.388177	−	0.141285i	0.140557	−	0.990073i	$-0.455111\pi$
$67$	−3.17736	−	1.15647i	−0.388177	−	0.141285i	−0.528734	+	0.848788i	$0.677333\pi$
$68$	3.19626	+	5.53609i	0.387604	+	0.671350i
$69$	7.13707	+	4.72336i	0.859202	+	0.568626i
$70$	2.69853	+	0.982186i	0.322537	+	0.117394i
$71$	−11.6256	+	4.23139i	−1.37971	+	0.502173i	−0.922090	−	0.386975i	$-0.873520\pi$
$71$	−11.6256	+	4.23139i	−1.37971	+	0.502173i	−0.457619	+	0.889148i	$0.651298\pi$
$72$	−0.157337	−	2.99587i	−0.0185423	−	0.353067i
$73$	−9.14327	−	7.67212i	−1.07014	−	0.897953i	−0.0750740	−	0.997178i	$-0.523919\pi$
$73$	−9.14327	−	7.67212i	−1.07014	−	0.897953i	−0.995065	+	0.0992246i	$0.968364\pi$
$74$	−9.25834	+	3.36976i	−1.07626	+	0.391726i
$75$	0.337021	−	5.51521i	0.0389158	−	0.636842i
$76$	1.74054	+	3.99631i	0.199654	+	0.458408i
$77$	2.92110	−	5.05949i	0.332890	−	0.576583i
$78$	5.93675	−	6.25671i	0.672204	−	0.708433i
$79$	−0.489401	+	2.77553i	−0.0550619	+	0.312272i	−0.999883	−	0.0153160i	$-0.995125\pi$
$79$	−0.489401	+	2.77553i	−0.0550619	+	0.312272i	0.944821	+	0.327588i	$0.106236\pi$
$80$	1.26417	+	0.460122i	0.141339	+	0.0514432i
$81$	3.65882	−	8.22271i	0.406536	−	0.913635i
$82$	3.61583	−	3.03404i	0.399302	−	0.335054i
$83$	7.38003	−	12.7826i	0.810063	−	1.40307i	−0.102756	−	0.994707i	$-0.532766\pi$
$83$	7.38003	−	12.7826i	0.810063	−	1.40307i	0.912819	−	0.408364i	$-0.133901\pi$
$84$	3.30873	−	1.64990i	0.361012	−	0.180018i
$85$	−8.08127	−	2.94134i	−0.876537	−	0.319033i
$86$	10.0308	+	3.65090i	1.08164	+	0.393686i
$87$	6.15702	+	4.07476i	0.660102	+	0.436860i
$88$	1.36844	−	2.37021i	0.145876	−	0.252665i
$89$	4.33830	−	3.64027i	0.459859	−	0.385868i	−0.383220	−	0.923657i	$-0.625185\pi$
$89$	4.33830	−	3.64027i	0.459859	−	0.385868i	0.843079	+	0.537790i	$0.180740\pi$
$90$	2.75282	+	2.95138i	0.290172	+	0.311103i
$91$	9.98866	+	3.63558i	1.04710	+	0.381112i
$92$	−0.858039	+	4.86618i	−0.0894568	+	0.507334i
$93$	3.21839	+	10.8629i	0.333732	+	1.12643i
$94$	−3.93061	+	6.80801i	−0.405411	+	0.702193i
$95$	−5.24954	−	2.61333i	−0.538591	−	0.268122i
$96$	1.55003	−	0.772922i	0.158199	−	0.0788861i
$97$	−3.38147	+	1.23076i	−0.343337	+	0.124964i	−0.507933	−	0.861397i	$-0.669590\pi$
$97$	−3.38147	+	1.23076i	−0.343337	+	0.124964i	0.164596	+	0.986361i	$0.447368\pi$
$98$	−1.87175	−	1.57058i	−0.189075	−	0.158653i
$99$	6.88553	−	4.47259i	0.692022	−	0.449512i
$100$	2.99776	−	1.09110i	0.299776	−	0.109110i
$101$	1.62062	+	0.589856i	0.161257	+	0.0586929i	0.421388	−	0.906881i	$-0.361543\pi$
$101$	1.62062	+	0.589856i	0.161257	+	0.0586929i	−0.260130	+	0.965574i	$0.583765\pi$
$102$	−9.90861	+	4.94093i	−0.981098	+	0.489225i
$103$	6.85920	+	11.8805i	0.675857	+	1.17062i	0.976218	+	0.216793i	$0.0695598\pi$
$103$	6.85920	+	11.8805i	0.675857	+	1.17062i	−0.300360	+	0.953826i	$0.597107\pi$
$104$	4.67936	+	1.70315i	0.458849	+	0.167007i
$105$	−1.98311	+	4.56153i	−0.193532	+	0.445160i
$106$	−0.519979			−0.0505048
$107$	−4.24227	−	7.34783i	−0.410116	−	0.710341i	0.584786	−	0.811187i	$-0.301178\pi$
$107$	−4.24227	−	7.34783i	−0.410116	−	0.710341i	−0.994902	+	0.100846i	$0.967845\pi$
$108$	5.19596	+	0.0444884i	0.499982	+	0.00428090i
$109$	7.32635	−	2.66657i	0.701737	−	0.255412i	0.0335849	−	0.999436i	$-0.489308\pi$
$109$	7.32635	−	2.66657i	0.701737	−	0.255412i	0.668153	+	0.744024i	$0.267085\pi$
$110$	0.639363	+	3.62601i	0.0609608	+	0.345726i
$111$	−4.84764	−	16.3620i	−0.460117	−	1.55302i
$112$	1.63521	+	1.37211i	0.154513	+	0.129652i
$113$	5.43649	−	9.41628i	0.511422	−	0.885809i	−0.488490	−	0.872569i	$-0.662452\pi$
$113$	5.43649	−	9.41628i	0.511422	−	0.885809i	0.999912	−	0.0132395i	$-0.00421439\pi$
$114$	−7.09281	+	2.58691i	−0.664302	+	0.242286i
$115$	−3.32375	−	5.75690i	−0.309941	−	0.536834i
$116$	−0.740215	+	4.19797i	−0.0687272	+	0.389772i
$117$	10.1896	+	10.9246i	0.942027	+	1.00998i
$118$	−0.380228	−	0.138392i	−0.0350028	−	0.0127400i
$119$	−10.4532	−	8.77124i	−0.958239	−	0.804058i
$120$	−0.929024	+	2.13693i	−0.0848079	+	0.195074i
$121$	−3.50949			−0.319045
$122$	−2.51979	−	4.36441i	−0.228131	−	0.395135i
$123$	4.86334	+	6.57167i	0.438513	+	0.592548i
$124$	−5.01083	+	4.20459i	−0.449986	+	0.377583i
$125$	−5.50913	+	9.54210i	−0.492752	+	0.853471i
$126$	2.50284	+	5.89451i	0.222970	+	0.525125i
$127$	8.42486	−	7.06930i	0.747586	−	0.627299i	−0.187277	−	0.982307i	$-0.559966\pi$
$127$	8.42486	−	7.06930i	0.747586	−	0.627299i	0.934863	+	0.355008i	$0.115522\pi$
$128$	0.766044	+	0.642788i	0.0677094	+	0.0568149i
$129$	−7.37146	+	16.9557i	−0.649021	+	1.49287i
$130$	−6.29518	+	2.29126i	−0.552123	+	0.200957i
$131$	−10.9846	−	9.21721i	−0.959733	−	0.805311i	0.0211767	−	0.999776i	$-0.493259\pi$
$131$	−10.9846	−	9.21721i	−0.959733	−	0.805311i	−0.980910	+	0.194464i	$0.937703\pi$
$132$	3.95311	+	2.61619i	0.344074	+	0.227710i
$133$	−6.40898	−	6.74541i	−0.555729	−	0.584901i
$134$	3.38128			0.292098
$135$	−5.39325	+	4.44734i	−0.464177	+	0.382766i
$136$	−4.89696	−	4.10904i	−0.419911	−	0.352347i
$137$	0.492870	+	2.79520i	0.0421087	+	0.238810i	0.998597	−	0.0529619i	$-0.0168662\pi$
$137$	0.492870	+	2.79520i	0.0421087	+	0.238810i	−0.956488	+	0.291772i	$0.905755\pi$
$138$	−8.32213	−	1.99748i	−0.708427	−	0.170037i
$139$	1.26215	+	7.15803i	0.107055	+	0.607136i	0.990380	+	0.138376i	$0.0441882\pi$
$139$	1.26215	+	7.15803i	0.107055	+	0.607136i	−0.883325	+	0.468761i	$0.844701\pi$
$140$	−2.87172			−0.242705
$141$	−11.3546	−	7.51457i	−0.956232	−	0.632841i
$142$	9.47731	−	7.95241i	0.795318	−	0.667351i
$143$	2.36661	+	13.4217i	0.197906	+	1.12238i
$144$	1.17250	+	2.76139i	0.0977081	+	0.230115i
$145$	−2.86734	−	4.96638i	−0.238120	−	0.412435i
$146$	11.2159	+	4.08225i	0.928233	+	0.337849i
$147$	2.91300	−	3.07000i	0.240260	−	0.253209i
$148$	7.54746	−	6.33307i	0.620398	−	0.520575i
$149$	−4.34601	+	1.58182i	−0.356039	+	0.129588i	−0.513846	−	0.857882i	$-0.671780\pi$
$149$	−4.34601	+	1.58182i	−0.356039	+	0.129588i	0.157807	+	0.987470i	$0.449558\pi$
$150$	1.56962	+	5.29787i	0.128159	+	0.432570i
$151$	2.44723	+	4.23873i	0.199153	+	0.344943i	0.948254	−	0.317513i	$-0.102848\pi$
$151$	2.44723	+	4.23873i	0.199153	+	0.344943i	−0.749101	+	0.662456i	$0.769514\pi$
$152$	−3.00240	−	3.16000i	−0.243526	−	0.256310i
$153$	−7.49522	−	17.6522i	−0.605953	−	1.42710i
$154$	−1.01449	+	5.75345i	−0.0817497	+	0.463626i
$155$	1.52808	−	8.66620i	0.122739	−	0.696086i
$156$	−3.43879	+	7.90987i	−0.275324	+	0.633297i
$157$	−3.12582	+	17.7274i	−0.249467	+	1.41480i	0.560417	+	0.828210i	$0.310641\pi$
$157$	−3.12582	+	17.7274i	−0.249467	+	1.41480i	−0.809885	+	0.586589i	$0.800470\pi$
$158$	−0.489401	−	2.77553i	−0.0389347	−	0.220809i
$159$	0.0549328	−	0.898953i	0.00435645	−	0.0712916i
$160$	−1.34531			−0.106356
$161$	−1.83159	−	10.3875i	−0.144349	−	0.818646i
$162$	−0.625836	+	8.97821i	−0.0491703	+	0.705395i
$163$	−4.92877	+	8.53688i	−0.386051	+	0.668660i	−0.991914	−	0.126909i	$-0.959495\pi$
$163$	−4.92877	+	8.53688i	−0.386051	+	0.668660i	0.605863	+	0.795569i	$0.292828\pi$
$164$	−2.36007	+	4.08775i	−0.184290	+	0.319200i
$165$	−6.33628	+	0.722280i	−0.493279	+	0.0562294i
$166$	−2.56306	+	14.5358i	−0.198932	+	1.12820i
$167$	−7.59058	+	6.36925i	−0.587377	+	0.492868i	−0.887360	−	0.461077i	$-0.847463\pi$
$167$	−7.59058	+	6.36925i	−0.587377	+	0.492868i	0.299983	+	0.953944i	$0.403019\pi$
$168$	−2.54489	+	2.68205i	−0.196342	+	0.206924i
$169$	−11.0857	+	4.03486i	−0.852744	+	0.310374i
$170$	8.59991			0.659583
$171$	−3.72300	−	12.5355i	−0.284705	−	0.958615i
$172$	−10.6745			−0.813924
$173$	5.19966	−	1.89252i	0.395323	−	0.143886i	−0.136707	−	0.990612i	$-0.543652\pi$
$173$	5.19966	−	1.89252i	0.395323	−	0.143886i	0.532029	+	0.846726i	$0.321430\pi$
$174$	−7.17936	−	1.72319i	−0.544266	−	0.130635i
$175$	−5.21658	+	4.37723i	−0.394336	+	0.330888i
$176$	−0.475254	+	2.69530i	−0.0358236	+	0.203166i
$177$	0.279424	−	0.642728i	0.0210028	−	0.0483104i
$178$	−2.83162	+	4.90452i	−0.212239	+	0.367609i
$179$	5.14707	−	8.91499i	0.384710	−	0.666338i	−0.607019	−	0.794688i	$-0.707635\pi$
$179$	5.14707	−	8.91499i	0.384710	−	0.666338i	0.991729	+	0.128350i	$0.0409680\pi$
$180$	−3.59623	−	1.83187i	−0.268047	−	0.136540i
$181$	3.82155	+	21.6731i	0.284054	+	1.61095i	0.708646	+	0.705565i	$0.249307\pi$
$181$	3.82155	+	21.6731i	0.284054	+	1.61095i	−0.424592	+	0.905385i	$0.639582\pi$
$182$	−10.6297			−0.787927
$183$	7.81151	−	3.89521i	0.577443	−	0.287942i
$184$	−0.858039	−	4.86618i	−0.0632555	−	0.358740i
$185$	−2.30165	+	13.0533i	−0.169220	+	0.959697i
$186$	−6.73963	−	9.10705i	−0.494174	−	0.667761i
$187$	3.03808	−	17.2298i	0.222166	−	1.25997i
$188$	1.36509	−	7.74179i	0.0995591	−	0.564628i
$189$	−10.4550	+	3.70425i	−0.760489	+	0.269444i
$190$	5.82677	+	0.660278i	0.422718	+	0.0479016i
$191$	9.93394	+	17.2061i	0.718795	+	1.24499i	0.961477	+	0.274884i	$0.0886394\pi$
$191$	9.93394	+	17.2061i	0.718795	+	1.24499i	−0.242682	+	0.970106i	$0.578027\pi$
$192$	−1.19220	+	1.25645i	−0.0860393	+	0.0906765i
$193$	7.29559	−	2.65538i	0.525148	−	0.191138i	−0.0658227	−	0.997831i	$-0.520967\pi$
$193$	7.29559	−	2.65538i	0.525148	−	0.191138i	0.590971	+	0.806693i	$0.298745\pi$
$194$	2.75660	−	2.31306i	0.197912	−	0.166068i
$195$	−3.29614	−	11.1253i	−0.236041	−	0.796701i
$196$	2.29604	+	0.835689i	0.164003	+	0.0596921i
$197$	7.06137	+	12.2306i	0.503102	+	0.871397i	0.999994	+	0.00358504i	$0.00114116\pi$
$197$	7.06137	+	12.2306i	0.503102	+	0.871397i	−0.496892	+	0.867812i	$0.665526\pi$
$198$	−4.94057	+	6.55785i	−0.351111	+	0.466046i
$199$	2.98160	+	16.9095i	0.211360	+	1.19868i	0.887113	+	0.461553i	$0.152708\pi$
$199$	2.98160	+	16.9095i	0.211360	+	1.19868i	−0.675753	+	0.737128i	$0.736181\pi$
$200$	−2.44380	+	2.05059i	−0.172802	+	0.144999i
$201$	−0.357213	+	5.84565i	−0.0251959	+	0.412320i
$202$	−1.72462			−0.121344
$203$	−1.58008	−	8.96107i	−0.110900	−	0.628944i
$204$	7.62115	−	8.03190i	0.533587	−	0.562345i
$205$	−1.10267	−	6.25355i	−0.0770138	−	0.436767i
$206$	−10.5089	−	8.81802i	−0.732190	−	0.614381i
$207$	4.33249	−	14.1765i	0.301129	−	0.985335i
$208$	−4.97967			−0.345278
$209$	3.38127	−	11.4406i	0.233887	−	0.791361i
$210$	0.303381	−	4.96471i	0.0209353	−	0.342597i
$211$	−9.63632	−	8.08583i	−0.663391	−	0.556651i	0.247710	−	0.968834i	$-0.420322\pi$
$211$	−9.63632	−	8.08583i	−0.663391	−	0.556651i	−0.911101	+	0.412183i	$0.864766\pi$
$212$	0.488620	−	0.177843i	0.0335586	−	0.0122143i
$213$	12.7471	+	17.2247i	0.873417	+	1.18022i
$214$	6.49954	+	5.45376i	0.444299	+	0.372811i
$215$	11.0008	−	9.23075i	0.750247	−	0.629532i
$216$	−4.89782	+	1.73532i	−0.333255	+	0.118073i
$217$	6.98147	−	12.0923i	0.473933	−	0.820876i
$218$	−5.97250	+	5.01152i	−0.404509	+	0.339423i
$219$	−8.24239	+	18.9590i	−0.556969	+	1.28113i
$220$	−1.84097	−	3.18866i	−0.124118	−	0.214979i
$221$	31.8327			2.14130
$222$	10.1514	+	13.7173i	0.681320	+	0.920645i
$223$	1.47988	+	1.24177i	0.0991000	+	0.0831547i	0.690992	−	0.722863i	$-0.257174\pi$
$223$	1.47988	+	1.24177i	0.0991000	+	0.0831547i	−0.591892	+	0.806018i	$0.701619\pi$
$224$	−2.00589	−	0.730084i	−0.134024	−	0.0487808i
$225$	−9.32492	+	2.15391i	−0.621661	+	0.143594i
$226$	−1.88807	+	10.7078i	−0.125593	+	0.712272i
$227$	4.20452	+	7.28244i	0.279064	+	0.483353i	0.971152	−	0.238460i	$-0.0766426\pi$
$227$	4.20452	+	7.28244i	0.279064	+	0.483353i	−0.692089	+	0.721813i	$0.743309\pi$
$228$	5.78028	−	4.85678i	0.382809	−	0.321648i
$229$	−12.5178	+	21.6815i	−0.827199	+	1.43275i	0.0730282	+	0.997330i	$0.476734\pi$
$229$	−12.5178	+	21.6815i	−0.827199	+	1.43275i	−0.900227	+	0.435421i	$0.856600\pi$
$230$	5.09228	+	4.27293i	0.335775	+	0.281749i
$231$	−9.83953	−	2.36169i	−0.647394	−	0.155388i
$232$	−0.740215	−	4.19797i	−0.0485975	−	0.275610i
$233$	9.56846	−	3.48263i	0.626851	−	0.228155i	−0.00900935	−	0.999959i	$-0.502868\pi$
$233$	9.56846	−	3.48263i	0.626851	−	0.228155i	0.635860	+	0.771804i	$0.280646\pi$
$234$	−13.3115	−	6.78071i	−0.870200	−	0.443269i
$235$	5.28787	+	9.15887i	0.344943	+	0.597459i
$236$	0.404630			0.0263392
$237$	4.85011	−	0.552870i	0.315049	−	0.0359128i
$238$	12.8227	+	4.66708i	0.831172	+	0.302522i
$239$	−8.90259	−	15.4197i	−0.575861	−	0.997420i	−0.995948	−	0.0899361i	$-0.971334\pi$
$239$	−8.90259	−	15.4197i	−0.575861	−	0.997420i	0.420087	−	0.907484i	$-0.362000\pi$
$240$	0.142124	−	2.32580i	0.00917406	−	0.150130i
$241$	−5.00744	−	1.82256i	−0.322557	−	0.117401i	0.175666	−	0.984450i	$-0.443792\pi$
$241$	−5.00744	−	1.82256i	−0.322557	−	0.117401i	−0.498224	+	0.867048i	$0.666014\pi$
$242$	3.29784	−	1.20032i	0.211993	−	0.0771593i
$243$	−15.4557	−	2.03046i	−0.991481	−	0.130254i
$244$	3.86055	+	3.23939i	0.247146	+	0.207380i
$245$	−3.08887	+	1.12426i	−0.197341	+	0.0718262i
$246$	−6.81769	−	4.51199i	−0.434680	−	0.287674i
$247$	21.5679	+	2.44403i	1.37233	+	0.155510i
$248$	3.27059	−	5.66483i	0.207683	−	0.359717i
$249$	−24.8591	−	5.96670i	−1.57538	−	0.378125i
$250$	1.91330	−	10.8509i	0.121008	−	0.686269i
$251$	27.4921	+	10.0063i	1.73528	+	0.631592i	0.998984	−	0.0450625i	$-0.0143487\pi$
$251$	27.4921	+	10.0063i	1.73528	+	0.631592i	0.736301	+	0.676655i	$0.236571\pi$
$252$	−4.36794	−	4.68301i	−0.275154	−	0.295002i
$253$	10.3597	−	8.69281i	0.651308	−	0.546512i
$254$	−5.49894	+	9.52444i	−0.345034	+	0.597617i
$255$	−0.908531	+	14.8678i	−0.0568944	+	0.931055i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	1.95871	+	0.712911i	0.122181	+	0.0444701i	0.402387	−	0.915470i	$-0.368181\pi$
$257$	1.95871	+	0.712911i	0.122181	+	0.0444701i	−0.280206	+	0.959940i	$0.590403\pi$
$258$	1.12770	−	18.4544i	0.0702076	−	1.14892i
$259$	−10.5157	+	18.2137i	−0.653413	+	1.13175i
$260$	5.13187	−	4.30615i	0.318265	−	0.267056i
$261$	3.73756	−	12.2298i	0.231349	−	0.757006i
$262$	13.4747	+	4.90438i	0.832467	+	0.302993i
$263$	0.0423040	−	0.239918i	0.00260858	−	0.0147940i	−0.983476	−	0.181040i	$-0.942054\pi$
$263$	0.0423040	−	0.239918i	0.00260858	−	0.0147940i	0.986084	+	0.166246i	$0.0531647\pi$
$264$	−4.60950	−	1.10637i	−0.283695	−	0.0680926i
$265$	−0.349766	+	0.605812i	−0.0214859	+	0.0372147i
$266$	8.32954	+	4.14661i	0.510717	+	0.254245i
$267$	−8.17991	−	5.41352i	−0.500603	−	0.331302i
$268$	−3.17736	+	1.15647i	−0.194088	+	0.0706424i
$269$	−14.9545	−	12.5483i	−0.911794	−	0.765086i	0.0606652	−	0.998158i	$-0.480678\pi$
$269$	−14.9545	−	12.5483i	−0.911794	−	0.765086i	−0.972460	+	0.233072i	$0.925122\pi$
$270$	3.54691	−	6.02373i	0.215858	−	0.366593i
$271$	−4.35690	+	1.58578i	−0.264663	+	0.0963294i	−0.470943	−	0.882164i	$-0.656086\pi$
$271$	−4.35690	+	1.58578i	−0.264663	+	0.0963294i	0.206280	+	0.978493i	$0.433864\pi$
$272$	6.00701	+	2.18637i	0.364229	+	0.132568i
$273$	1.12297	−	18.3769i	0.0679651	−	1.11222i
$274$	−1.41916	−	2.45806i	−0.0857347	−	0.148497i
$275$	−8.20451	−	2.98620i	−0.494750	−	0.180074i
$276$	8.50343	−	0.969316i	0.511846	−	0.0583460i
$277$	10.1356			0.608986			0.304493	−	0.952515i	$-0.401513\pi$
$277$	10.1356			0.608986			0.304493	+	0.952515i	$0.401513\pi$
$278$	−3.63423	−	6.29467i	−0.217966	−	0.377529i
$279$	16.4565	−	10.6895i	0.985225	−	0.639967i
$280$	2.69853	−	0.982186i	0.161268	−	0.0586969i
$281$	2.56855	+	14.5670i	0.153227	+	0.868994i	0.960389	+	0.278663i	$0.0898914\pi$
$281$	2.56855	+	14.5670i	0.153227	+	0.868994i	−0.807162	+	0.590330i	$0.798997\pi$
$282$	13.2400	+	3.17787i	0.788430	+	0.189239i
$283$	12.3128	+	10.3317i	0.731919	+	0.614153i	0.930654	−	0.365900i	$-0.119239\pi$
$283$	12.3128	+	10.3317i	0.731919	+	0.614153i	−0.198735	+	0.980053i	$0.563683\pi$
$284$	−6.18587	+	10.7142i	−0.367064	+	0.635774i
$285$	−1.75707	+	10.0037i	−0.104080	+	0.592569i
$286$	−6.81438	−	11.8029i	−0.402943	−	0.697917i
$287$	1.74963	−	9.92262i	0.103277	−	0.585714i
$288$	−2.04624	−	2.19384i	−0.120576	−	0.129273i
$289$	−22.4252	−	8.16212i	−1.31913	−	0.480124i
$290$	4.39302	+	3.68618i	0.257967	+	0.216460i
$291$	3.70767	+	5.01005i	0.217347	+	0.293694i
$292$	−11.9357			−0.698484
$293$	2.56708	+	4.44632i	0.149971	+	0.259757i	0.931216	−	0.364467i	$-0.118749\pi$
$293$	2.56708	+	4.44632i	0.149971	+	0.259757i	−0.781246	+	0.624224i	$0.785415\pi$
$294$	−1.68732	+	3.88116i	−0.0984067	+	0.226354i
$295$	−0.416998	+	0.349903i	−0.0242785	+	0.0203721i
$296$	−4.92626	+	8.53253i	−0.286333	+	0.495943i
$297$	−10.8154	−	9.23418i	−0.627575	−	0.535821i
$298$	3.54290	−	2.97285i	0.205235	−	0.172212i
$299$	18.8491	+	15.8163i	1.09007	+	0.914681i
$300$	−3.28694	−	4.44153i	−0.189771	−	0.256432i
$301$	21.4119	−	7.79328i	1.23416	−	0.449197i
$302$	−3.74937	−	3.14610i	−0.215752	−	0.181038i
$303$	0.182197	−	2.98158i	0.0104669	−	0.171287i
$304$	3.90211	+	1.94255i	0.223802	+	0.111413i
$305$	−6.77979			−0.388210
$306$	13.0806	+	14.0242i	0.747769	+	0.801708i
$307$	−0.475776	−	0.399223i	−0.0271540	−	0.0227849i	0.629110	−	0.777317i	$-0.283420\pi$
$307$	−0.475776	−	0.399223i	−0.0271540	−	0.0227849i	−0.656264	+	0.754532i	$0.727864\pi$
$308$	−1.01449	−	5.75345i	−0.0578058	−	0.327833i
$309$	16.3550	−	17.2365i	0.930405	−	0.980550i
$310$	1.52808	+	8.66620i	0.0867894	+	0.492207i
$311$	−22.1166			−1.25412			−0.627059	−	0.778972i	$-0.715741\pi$
$311$	−22.1166			−1.25412			−0.627059	+	0.778972i	$0.715741\pi$
$312$	0.526074	−	8.60899i	0.0297831	−	0.487388i
$313$	24.7707	−	20.7851i	1.40013	−	1.17484i	0.439082	−	0.898447i	$-0.355304\pi$
$313$	24.7707	−	20.7851i	1.40013	−	1.17484i	0.961043	−	0.276398i	$-0.0891408\pi$
$314$	−3.12582	−	17.7274i	−0.176400	−	1.00041i
$315$	8.55106	+	1.04899i	0.481798	+	0.0591036i
$316$	1.40917	+	2.44076i	0.0792722	+	0.137304i
$317$	−5.47200	−	1.99164i	−0.307338	−	0.111862i	0.183747	−	0.982974i	$-0.441177\pi$
$317$	−5.47200	−	1.99164i	−0.307338	−	0.111862i	−0.491085	+	0.871112i	$0.663400\pi$
$318$	0.255840	+	0.863528i	0.0143468	+	0.0484242i
$319$	8.93711	−	7.49913i	0.500382	−	0.419871i
$320$	1.26417	−	0.460122i	0.0706695	−	0.0257216i
$321$	−10.1152	+	10.6604i	−0.564578	+	0.595006i
$322$	5.27385	+	9.13457i	0.293900	+	0.509050i
$323$	−24.9444	−	12.4178i	−1.38794	−	0.690946i
$324$	−2.48264	−	8.65081i	−0.137924	−	0.480601i
$325$	2.75856	−	15.6446i	0.153017	−	0.867804i
$326$	1.71174	−	9.70778i	0.0948048	−	0.537664i
$327$	−8.03309	−	10.8548i	−0.444231	−	0.600275i
$328$	0.819642	−	4.64842i	0.0452572	−	0.256666i
$329$	2.91394	+	16.5258i	0.160651	+	0.911096i
$330$	5.70712	−	2.84586i	0.314167	−	0.156659i
$331$	34.5251			1.89767			0.948836	−	0.315770i	$-0.102263\pi$
$331$	34.5251			1.89767			0.948836	+	0.315770i	$0.102263\pi$
$332$	−2.56306	−	14.5358i	−0.140666	−	0.797757i
$333$	−24.7873	+	16.1009i	−1.35833	+	0.882325i
$334$	4.95440	−	8.58127i	0.271093	−	0.469546i
$335$	2.27443	−	3.93943i	0.124265	−	0.215234i
$336$	1.47410	−	3.39070i	0.0804186	−	0.184978i
$337$	−3.81342	+	21.6270i	−0.207730	+	1.17810i	0.685354	+	0.728210i	$0.259647\pi$
$337$	−3.81342	+	21.6270i	−0.207730	+	1.17810i	−0.893085	+	0.449888i	$0.851464\pi$
$338$	9.03713	−	7.58305i	0.491555	−	0.412464i
$339$	−18.3124	−	4.39537i	−0.994596	−	0.238724i
$340$	−8.08127	+	2.94134i	−0.438269	+	0.159517i
$341$	17.9024			0.969470
$342$	7.78588	+	10.5062i	0.421012	+	0.568110i
$343$	−20.1581			−1.08843
$344$	10.0308	−	3.65090i	0.540822	−	0.196843i
$345$	−7.92512	+	8.35225i	−0.426674	+	0.449670i
$346$	−4.23880	+	3.55678i	−0.227879	+	0.191213i
$347$	−0.580278	+	3.29092i	−0.0311510	+	0.176666i	−0.996414	−	0.0846153i	$-0.973034\pi$
$347$	−0.580278	+	3.29092i	−0.0311510	+	0.176666i	0.965263	+	0.261281i	$0.0841450\pi$
$348$	7.33576	−	0.836212i	0.393238	−	0.0448257i
$349$	0.756954	−	1.31108i	0.0405188	−	0.0701806i	−0.845055	−	0.534680i	$-0.820432\pi$
$349$	0.756954	−	1.31108i	0.0405188	−	0.0701806i	0.885574	+	0.464499i	$0.153766\pi$
$350$	3.40488	−	5.89743i	0.181999	−	0.315231i
$351$	13.1289	−	22.2969i	0.700772	−	1.19012i
$352$	−0.475254	−	2.69530i	−0.0253311	−	0.143660i
$353$	−30.9876			−1.64930			−0.824652	−	0.565640i	$-0.808629\pi$
$353$	−30.9876			−1.64930			−0.824652	+	0.565640i	$0.808629\pi$
$354$	−0.0427468	+	0.699535i	−0.00227197	+	0.0371799i
$355$	−2.89016	−	16.3909i	−0.153394	−	0.869941i
$356$	0.983413	−	5.57721i	0.0521208	−	0.295592i
$357$	−9.42321	+	21.6752i	−0.498729	+	1.14717i
$358$	−1.78756	+	10.1378i	−0.0944755	+	0.535797i
$359$	−3.18767	+	18.0782i	−0.168239	+	0.954129i	0.777423	+	0.628978i	$0.216526\pi$
$359$	−3.18767	+	18.0782i	−0.168239	+	0.954129i	−0.945662	+	0.325151i	$0.894585\pi$
$360$	4.00589	+	0.491415i	0.211129	+	0.0258998i
$361$	−15.9473	−	10.3287i	−0.839334	−	0.543616i
$362$	−11.0037	−	19.0590i	−0.578343	−	1.00172i
$363$	1.72674	+	5.82820i	0.0906304	+	0.305901i
$364$	9.98866	−	3.63558i	0.523548	−	0.190556i
$365$	12.3005	−	10.3214i	0.643838	−	0.540244i
$366$	−6.00818	+	6.33199i	−0.314052	+	0.330979i
$367$	−19.8005	−	7.20678i	−1.03358	−	0.376191i	−0.231135	−	0.972922i	$-0.574244\pi$
$367$	−19.8005	−	7.20678i	−1.03358	−	0.376191i	−0.802442	+	0.596731i	$0.796466\pi$
$368$	2.47063	+	4.27925i	0.128790	+	0.223071i
$369$	8.52070	−	11.3099i	0.443570	−	0.588771i
$370$	−2.30165	−	13.0533i	−0.119657	−	0.678608i
$371$	−0.850277	+	0.713467i	−0.0441442	+	0.0370414i
$372$	9.44798	+	6.25273i	0.489855	+	0.324189i
$373$	8.27254			0.428336			0.214168	−	0.976797i	$-0.431296\pi$
$373$	8.27254			0.428336			0.214168	+	0.976797i	$0.431296\pi$
$374$	3.03808	+	17.2298i	0.157095	+	0.890931i
$375$	18.5571	+	4.45410i	0.958287	+	0.230009i
$376$	1.36509	+	7.74179i	0.0703989	+	0.399252i
$377$	16.2608	+	13.6444i	0.837475	+	0.702725i
$378$	8.55756	−	7.05667i	0.440153	−	0.362956i
$379$	−13.2290			−0.679529			−0.339765	−	0.940510i	$-0.610347\pi$
$379$	−13.2290			−0.679529			−0.339765	+	0.940510i	$0.610347\pi$
$380$	−5.70120	+	1.37241i	−0.292465	+	0.0704033i
$381$	−15.8852	−	10.5129i	−0.813822	−	0.538593i
$382$	−15.2197	−	12.7708i	−0.778707	−	0.653413i
$383$	−15.5473	+	5.65875i	−0.794429	+	0.289149i	−0.707176	−	0.707038i	$-0.750031\pi$
$383$	−15.5473	+	5.65875i	−0.794429	+	0.289149i	−0.0872533	+	0.996186i	$0.527809\pi$
$384$	0.690566	−	1.58843i	0.0352403	−	0.0810594i
$385$	6.02077	+	5.05202i	0.306847	+	0.257475i
$386$	−5.94742	+	4.99048i	−0.302716	+	0.254009i
$387$	31.7853	+	3.89920i	1.61574	+	0.198207i
$388$	−1.79924	+	3.11638i	−0.0913428	+	0.158210i
$389$	25.7938	−	21.6436i	1.30780	−	1.09737i	0.319056	−	0.947736i	$-0.396634\pi$
$389$	25.7938	−	21.6436i	1.30780	−	1.09737i	0.988741	−	0.149637i	$-0.0478104\pi$
$390$	6.90244	+	9.32704i	0.349519	+	0.472293i
$391$	−15.7935	−	27.3552i	−0.798714	−	1.38341i
$392$	−2.44339			−0.123410
$393$	−9.90233	+	22.7772i	−0.499507	+	1.14896i
$394$	−10.8186	−	9.07792i	−0.545035	−	0.457339i
$395$	−3.56288	−	1.29678i	−0.179268	−	0.0652483i
$396$	2.39970	−	7.85214i	0.120589	−	0.394585i
$397$	0.697498	−	3.95571i	0.0350064	−	0.198531i	−0.962289	−	0.272029i	$-0.912305\pi$
$397$	0.697498	−	3.95571i	0.0350064	−	0.198531i	0.997295	+	0.0734981i	$0.0234163\pi$
$398$	−8.58517	−	14.8700i	−0.430336	−	0.745363i
$399$	−8.04874	+	13.9623i	−0.402941	+	0.698987i
$400$	1.59507	−	2.76275i	0.0797537	−	0.138138i
$401$	5.11597	+	4.29281i	0.255479	+	0.214373i	0.761527	−	0.648133i	$-0.224450\pi$
$401$	5.11597	+	4.29281i	0.255479	+	0.214373i	−0.506048	+	0.862505i	$0.668894\pi$
$402$	−1.66366	−	5.61529i	−0.0829758	−	0.280065i
$403$	5.65623	+	32.0781i	0.281757	+	1.59792i
$404$	1.62062	−	0.589856i	0.0806287	−	0.0293464i
$405$	10.0393	+	6.76837i	0.498856	+	0.336323i
$406$	4.54966	+	7.88023i	0.225796	+	0.391089i
$407$	−26.9651			−1.33661
$408$	−4.41447	+	10.1541i	−0.218549	+	0.502703i
$409$	−19.2900	−	7.02100i	−0.953830	−	0.347166i	−0.182217	−	0.983258i	$-0.558327\pi$
$409$	−19.2900	−	7.02100i	−0.953830	−	0.347166i	−0.771613	+	0.636092i	$0.780550\pi$
$410$	3.17501	+	5.49928i	0.156803	+	0.271590i
$411$	4.39948	−	2.19380i	0.217011	−	0.108212i
$412$	12.8911	+	4.69197i	0.635098	+	0.231157i
$413$	−0.811643	+	0.295414i	−0.0399383	+	0.0145364i
$414$	0.777441	+	14.8033i	0.0382091	+	0.727545i
$415$	15.2112	+	12.7637i	0.746688	+	0.626546i
$416$	4.67936	−	1.70315i	0.229425	−	0.0835037i
$417$	11.2663	−	5.61795i	0.551714	−	0.275112i
$418$	0.735556	+	11.9071i	0.0359772	+	0.582394i
$419$	2.98469	−	5.16964i	0.145812	−	0.252553i	−0.783864	−	0.620933i	$-0.786754\pi$
$419$	2.98469	−	5.16964i	0.145812	−	0.252553i	0.929676	+	0.368379i	$0.120087\pi$
$420$	1.41294	+	4.76906i	0.0689446	+	0.232706i
$421$	1.19614	−	6.78366i	0.0582964	−	0.330615i	−0.941686	−	0.336492i	$-0.890759\pi$
$421$	1.19614	−	6.78366i	0.0582964	−	0.330615i	0.999983	+	0.00587664i	$0.00187060\pi$
$422$	11.8207	+	4.30238i	0.575422	+	0.209437i
$423$	−6.89272	+	22.5539i	−0.335135	+	1.09661i
$424$	−0.398327	+	0.334236i	−0.0193445	+	0.0162319i
$425$	−10.1966	+	17.6610i	−0.494606	+	0.856683i
$426$	−17.8696	−	11.8262i	−0.865783	−	0.572981i
$427$	−10.1089	−	3.67932i	−0.489202	−	0.178055i
$428$	−7.97286	−	2.90188i	−0.385383	−	0.140268i
$429$	21.1250	−	10.5340i	1.01992	−	0.508585i
$430$	−7.18025	+	12.4366i	−0.346262	+	0.599744i
$431$	−24.5343	+	20.5867i	−1.18178	+	0.991627i	−0.181810	+	0.983334i	$0.558195\pi$
$431$	−24.5343	+	20.5867i	−1.18178	+	0.991627i	−0.999966	+	0.00829346i	$0.997360\pi$
$432$	4.00893	−	3.30582i	0.192880	−	0.159051i
$433$	18.5614	+	6.75580i	0.892004	+	0.324663i	0.747044	−	0.664775i	$-0.231472\pi$
$433$	18.5614	+	6.75580i	0.892004	+	0.324663i	0.144960	+	0.989438i	$0.453695\pi$
$434$	−2.42464	+	13.7508i	−0.116386	+	0.660060i
$435$	−6.83686	+	7.20534i	−0.327802	+	0.345470i
$436$	3.89827	−	6.75200i	0.186693	−	0.323362i
$437$	−8.60046	−	19.7468i	−0.411416	−	0.944616i
$438$	1.26094	−	20.6347i	0.0602499	−	0.985966i
$439$	−18.9473	+	6.89625i	−0.904305	+	0.329140i	−0.751977	−	0.659190i	$-0.770899\pi$
$439$	−18.9473	+	6.89625i	−0.904305	+	0.329140i	−0.152328	+	0.988330i	$0.548677\pi$
$440$	2.82053	+	2.36671i	0.134464	+	0.112828i
$441$	−6.53160	−	3.32711i	−0.311028	−	0.158434i
$442$	−29.9130	+	10.8874i	−1.42281	+	0.517862i
$443$	27.2653	+	9.92376i	1.29541	+	0.471492i	0.895500	−	0.445061i	$-0.146818\pi$
$443$	27.2653	+	9.92376i	1.29541	+	0.471492i	0.399913	+	0.916553i	$0.369040\pi$
$444$	−14.2308	−	9.41805i	−0.675365	−	0.446961i
$445$	3.80940	+	6.59808i	0.180583	+	0.312779i
$446$	−1.81534	−	0.660729i	−0.0859588	−	0.0312864i
$447$	4.76525	+	6.43912i	0.225388	+	0.304560i
$448$	2.13462			0.100851
$449$	10.8300	+	18.7581i	0.511098	+	0.885248i	0.999917	+	0.0128626i	$0.00409440\pi$
$449$	10.8300	+	18.7581i	0.511098	+	0.885248i	−0.488819	+	0.872385i	$0.662572\pi$
$450$	8.02588	−	5.21332i	0.378344	−	0.245758i
$451$	12.1394	−	4.41836i	0.571620	−	0.208053i
$452$	−1.88807	−	10.7078i	−0.0888075	−	0.503652i
$453$	5.83515	−	6.14965i	0.274159	−	0.288936i
$454$	−6.44170	−	5.40523i	−0.302324	−	0.253680i
$455$	−7.15011	+	12.3844i	−0.335202	+	0.580588i
$456$	−3.77057	+	6.54086i	−0.176573	+	0.306304i
$457$	−5.38683	−	9.33027i	−0.251985	−	0.436451i	0.712087	−	0.702091i	$-0.247750\pi$
$457$	−5.38683	−	9.33027i	−0.251985	−	0.436451i	−0.964072	+	0.265640i	$0.914417\pi$
$458$	4.34738	−	24.6552i	0.203140	−	1.15206i
$459$	−25.6272	+	21.1325i	−1.19618	+	0.986383i
$460$	−6.24660	−	2.27358i	−0.291249	−	0.106006i
$461$	−4.19986	−	3.52410i	−0.195607	−	0.164134i	0.539724	−	0.841842i	$-0.318529\pi$
$461$	−4.19986	−	3.52410i	−0.195607	−	0.164134i	−0.735331	+	0.677708i	$0.762973\pi$
$462$	10.0539	−	1.14605i	0.467749	−	0.0533193i
$463$	24.0314			1.11683			0.558417	−	0.829561i	$-0.311409\pi$
$463$	24.0314			1.11683			0.558417	+	0.829561i	$0.311409\pi$
$464$	2.13136	+	3.69163i	0.0989461	+	0.171380i
$465$	−15.1438	+	1.72626i	−0.702276	+	0.0800533i
$466$	−7.80028	+	6.54521i	−0.361341	+	0.303201i
$467$	−18.8464	+	32.6428i	−0.872105	+	1.51053i	−0.0122902	+	0.999924i	$0.503912\pi$
$467$	−18.8464	+	32.6428i	−0.872105	+	1.51053i	−0.859815	+	0.510606i	$0.829421\pi$
$468$	14.8279	+	1.81898i	0.685418	+	0.0840824i
$469$	5.52912	−	4.63948i	0.255311	−	0.214231i
$470$	−8.10149	−	6.79796i	−0.373694	−	0.313567i
$471$	30.9778	−	3.53120i	1.42738	−	0.162709i
$472$	−0.380228	+	0.138392i	−0.0175014	+	0.00636999i
$473$	22.3799	+	18.7789i	1.02903	+	0.863457i
$474$	−4.36852	+	2.17836i	−0.200653	+	0.100056i
$475$	−8.26451	+	11.1831i	−0.379202	+	0.513116i
$476$	−13.6456			−0.625446
$477$	−1.51992	+	0.351076i	−0.0695922	+	0.0160747i
$478$	13.6396	+	11.4450i	0.623859	+	0.523480i
$479$	3.40944	+	19.3359i	0.155781	+	0.883479i	0.958068	+	0.286540i	$0.0925052\pi$
$479$	3.40944	+	19.3359i	0.155781	+	0.883479i	−0.802287	+	0.596938i	$0.796384\pi$
$480$	0.661918	+	2.23415i	0.0302123	+	0.101974i
$481$	−8.51958	−	48.3169i	−0.388459	−	2.20306i
$482$	5.32880			0.242720
$483$	−16.3492	+	8.15255i	−0.743916	+	0.370954i
$484$	−2.68843	+	2.25586i	−0.122201	+	0.102539i
$485$	−0.840643	−	4.76752i	−0.0381716	−	0.216482i
$486$	15.2180	−	3.37814i	0.690303	−	0.153235i
$487$	−14.2735	−	24.7225i	−0.646795	−	1.12028i	−0.983884	−	0.178809i	$-0.942775\pi$
$487$	−14.2735	−	24.7225i	−0.646795	−	1.12028i	0.337088	−	0.941473i	$-0.390558\pi$
$488$	−4.73566	−	1.72364i	−0.214373	−	0.0780256i
$489$	16.6022	+	3.98488i	0.750779	+	0.180202i
$490$	2.51807	−	2.11291i	0.113755	−	0.0954517i
$491$	22.7215	−	8.26996i	1.02541	−	0.373218i	0.226077	−	0.974109i	$-0.427410\pi$
$491$	22.7215	−	8.26996i	1.02541	−	0.373218i	0.799331	+	0.600892i	$0.205188\pi$
$492$	7.94972	+	1.90810i	0.358401	+	0.0860237i
$493$	−13.6248	−	23.5989i	−0.613630	−	1.06284i
$494$	−21.1031	+	5.08001i	−0.949471	+	0.228560i
$495$	4.31707	+	10.1673i	0.194038	+	0.456985i
$496$	−1.13586	+	6.44180i	−0.0510018	+	0.289245i
$497$	4.58587	−	26.0078i	0.205705	−	1.16661i
$498$	25.4007	−	2.89545i	1.13823	−	0.129748i
$499$	−0.955129	+	5.41680i	−0.0427574	+	0.242489i	−0.998694	−	0.0510824i	$-0.983733\pi$
$499$	−0.955129	+	5.41680i	−0.0427574	+	0.242489i	0.955937	+	0.293572i	$0.0948440\pi$
$500$	1.91330	+	10.8509i	0.0855654	+	0.485266i
$501$	14.3121	+	9.47186i	0.639419	+	0.423171i
$502$	−29.2565			−1.30578
$503$	4.70386	+	26.6769i	0.209735	+	1.18947i	0.889813	+	0.456326i	$0.150835\pi$
$503$	4.70386	+	26.6769i	0.209735	+	1.18947i	−0.680078	+	0.733140i	$0.738054\pi$
$504$	5.70620	+	2.90667i	0.254175	+	0.129473i
$505$	−1.16007	+	2.00931i	−0.0516226	+	0.0894130i
$506$	−6.76180	+	11.7118i	−0.300599	+	0.520652i
$507$	12.1551	+	16.4247i	0.539825	+	0.729448i
$508$	1.90976	−	10.8308i	0.0847320	−	0.480539i
$509$	−1.98343	+	1.66430i	−0.0879141	+	0.0737687i	−0.685686	−	0.727898i	$-0.740497\pi$
$509$	−1.98343	+	1.66430i	−0.0879141	+	0.0737687i	0.597771	+	0.801667i	$0.296053\pi$
$510$	−4.23133	−	14.2819i	−0.187366	−	0.632411i
$511$	23.9417	−	8.71405i	1.05912	−	0.385487i
$512$	1.00000			0.0441942
$513$	−18.9859	+	12.3505i	−0.838249	+	0.545288i
$514$	−2.08441			−0.0919394
$515$	−17.3425	+	6.31214i	−0.764200	+	0.278146i
$516$	5.25208	+	17.7271i	0.231210	+	0.780394i
$517$	−16.4816	+	13.8297i	−0.724860	+	0.608230i
$518$	3.65206	−	20.7119i	0.160462	−	0.910028i
$519$	−5.70124	−	7.70390i	−0.250257	−	0.338164i
$520$	−3.34959	+	5.80167i	−0.146889	+	0.254420i
$521$	18.1895	−	31.5052i	0.796898	−	1.38027i	−0.124728	−	0.992191i	$-0.539806\pi$
$521$	18.1895	−	31.5052i	0.796898	−	1.38027i	0.921627	−	0.388078i	$-0.126861\pi$
$522$	0.670684	+	12.7706i	0.0293551	+	0.558953i
$523$	−1.04257	−	5.91272i	−0.0455885	−	0.258545i	0.953492	−	0.301418i	$-0.0974600\pi$
$523$	−1.04257	−	5.91272i	−0.0455885	−	0.258545i	−0.999081	+	0.0428731i	$0.986349\pi$
$524$	−14.3394			−0.626421
$525$	9.83592	+	6.50948i	0.429275	+	0.284097i
$526$	0.0423040	+	0.239918i	0.00184454	+	0.0104609i
$527$	7.26104	−	41.1794i	0.316296	−	1.79380i
$528$	4.70991	−	0.536889i	0.204973	−	0.0233651i
$529$	0.245878	−	1.39444i	0.0106903	−	0.0606279i
$530$	0.121472	−	0.688904i	0.00527642	−	0.0299241i
$531$	−1.20486	−	0.147804i	−0.0522864	−	0.00641413i
$532$	−9.24543	−	1.04767i	−0.400840	−	0.0454224i
$533$	11.7524	+	20.3557i	0.509051	+	0.881702i
$534$	9.53814	+	2.28935i	0.412756	+	0.0990699i
$535$	10.7259	−	3.90393i	0.463723	−	0.168781i
$536$	2.59021	−	2.17345i	0.111880	−	0.0938786i
$537$	−17.3376	−	4.16138i	−0.748171	−	0.179577i
$538$	18.3445	+	6.67684i	0.790886	+	0.287859i
$539$	−3.34363	−	5.79134i	−0.144020	−	0.249451i
$540$	−1.27277	+	6.87357i	−0.0547713	+	0.295792i
$541$	0.788530	+	4.47198i	0.0339016	+	0.192265i	0.997055	−	0.0766862i	$-0.0244340\pi$
$541$	0.788530	+	4.47198i	0.0339016	+	0.192265i	−0.963154	+	0.268952i	$0.913323\pi$
$542$	3.55178	−	2.98030i	0.152562	−	0.128015i
$543$	34.1122	−	17.0101i	1.46389	−	0.729971i
$544$	−6.39253			−0.274077
$545$	1.82135	+	10.3294i	0.0780181	+	0.442463i
$546$	5.23003	+	17.6527i	0.223825	+	0.755468i
$547$	−0.542629	−	3.07740i	−0.0232011	−	0.131580i	0.971007	−	0.239050i	$-0.0768361\pi$
$547$	−0.542629	−	3.07740i	−0.0232011	−	0.131580i	−0.994208	+	0.107470i	$0.965725\pi$
$548$	2.17428	+	1.82444i	0.0928807	+	0.0779362i
$549$	−10.3122	−	11.0560i	−0.440113	−	0.471860i
$550$	8.73105			0.372293
$551$	−7.41947	−	17.0352i	−0.316080	−	0.725724i
$552$	−7.65908	+	3.81920i	−0.325992	+	0.162556i
$553$	−4.60860	−	3.86708i	−0.195978	−	0.164445i
$554$	−9.52430	+	3.46656i	−0.404649	+	0.147280i
$555$	22.8100	−	2.60014i	0.968231	−	0.110370i
$556$	5.56796	+	4.67207i	0.236134	+	0.198140i
$557$	−4.37160	+	3.66821i	−0.185231	+	0.155427i	−0.730688	−	0.682712i	$-0.760801\pi$
$557$	−4.37160	+	3.66821i	−0.185231	+	0.155427i	0.545457	+	0.838139i	$0.316356\pi$
$558$	−11.8080	+	15.6733i	−0.499873	+	0.663506i
$559$	−26.5778	+	46.0341i	−1.12412	+	1.94703i
$560$	−2.19987	+	1.84591i	−0.0929613	+	0.0780038i
$561$	−30.1083	+	3.43208i	−1.27117	+	0.144902i
$562$	−7.39585	−	12.8100i	−0.311975	−	0.540357i
$563$	12.8730			0.542532			0.271266	−	0.962504i	$-0.412558\pi$
$563$	12.8730			0.542532			0.271266	+	0.962504i	$0.412558\pi$
$564$	−13.5284	+	1.54212i	−0.569649	+	0.0649350i
$565$	11.2053	+	9.40237i	0.471411	+	0.395561i
$566$	−15.1039	−	5.49736i	−0.634863	−	0.231071i
$567$	11.2957	+	15.5400i	0.474375	+	0.652620i
$568$	2.14833	−	12.1838i	0.0901420	−	0.511221i
$569$	−12.9567	−	22.4416i	−0.543172	−	0.940802i	−0.998719	−	0.0505906i	$-0.983890\pi$
$569$	−12.9567	−	22.4416i	−0.543172	−	0.940802i	0.455547	−	0.890212i	$-0.349444\pi$
$570$	−1.77036	−	10.0014i	−0.0741524	−	0.418911i
$571$	−0.0244430	+	0.0423365i	−0.00102291	+	0.00177173i	−0.866536	−	0.499114i	$-0.833659\pi$
$571$	−0.0244430	+	0.0423365i	−0.00102291	+	0.00177173i	0.865513	+	0.500886i	$0.166992\pi$
$572$	10.4402	+	8.76040i	0.436528	+	0.366291i
$573$	23.6864	−	24.9630i	0.989514	−	1.04285i
$574$	1.74963	+	9.92262i	0.0730280	+	0.414162i
$575$	−14.8127	+	5.39138i	−0.617732	+	0.224836i
$576$	2.67317	+	1.36168i	0.111382	+	0.0567366i
$577$	−15.1463	−	26.2341i	−0.630547	−	1.09214i	−0.987440	−	0.157995i	$-0.949497\pi$
$577$	−15.1463	−	26.2341i	−0.630547	−	1.09214i	0.356893	−	0.934145i	$-0.383836\pi$
$578$	23.8644			0.992629
$579$	−7.99935	−	10.8093i	−0.332442	−	0.449218i
$580$	−5.38883	−	1.96138i	−0.223759	−	0.0814417i
$581$	15.7536	+	27.2860i	0.653568	+	1.13201i
$582$	−5.19760	−	3.43981i	−0.215448	−	0.142585i
$583$	−1.33730	−	0.486736i	−0.0553851	−	0.0201585i
$584$	11.2159	−	4.08225i	0.464117	−	0.168925i
$585$	−16.8540	+	10.9478i	−0.696828	+	0.452634i
$586$	−3.93300	−	3.30018i	−0.162471	−	0.136329i
$587$	−33.5337	+	12.2053i	−1.38408	+	0.503765i	−0.923413	−	0.383807i	$-0.874613\pi$
$587$	−33.5337	+	12.2053i	−1.38408	+	0.503765i	−0.460669	+	0.887572i	$0.652391\pi$
$588$	0.258130	−	4.22420i	0.0106451	−	0.174203i
$589$	8.08127	−	27.3431i	0.332983	−	1.12665i
$590$	0.272176	−	0.471422i	0.0112053	−	0.0194082i
$591$	16.8371	−	17.7445i	0.692584	−	0.729912i
$592$	1.71087	−	9.70283i	0.0703164	−	0.398784i
$593$	−38.1573	−	13.8881i	−1.56693	−	0.570316i	−0.594620	−	0.804007i	$-0.702698\pi$
$593$	−38.1573	−	13.8881i	−1.56693	−	0.570316i	−0.972311	+	0.233690i	$0.924920\pi$
$594$	13.3215	+	4.97819i	0.546586	+	0.204258i
$595$	14.0627	−	11.8000i	0.576515	−	0.483753i
$596$	−2.31246	+	4.00530i	−0.0947222	+	0.164064i
$597$	26.6145	−	13.2713i	1.08926	−	0.543160i
$598$	−23.1219	−	8.41568i	−0.945525	−	0.344143i
$599$	−13.4083	−	4.88022i	−0.547848	−	0.199400i	0.0532421	−	0.998582i	$-0.483045\pi$
$599$	−13.4083	−	4.88022i	−0.547848	−	0.199400i	−0.601090	+	0.799181i	$0.705267\pi$
$600$	4.60780	+	3.04948i	0.188113	+	0.124494i
$601$	−13.5276	+	23.4305i	−0.551802	+	0.955750i	0.446342	+	0.894862i	$0.352726\pi$
$601$	−13.5276	+	23.4305i	−0.551802	+	0.955750i	−0.998145	+	0.0608873i	$0.980607\pi$
$602$	−17.4551	+	14.6466i	−0.711418	+	0.596950i
$603$	9.88361	−	2.28295i	0.402492	−	0.0929691i
$604$	4.59929	+	1.67400i	0.187142	+	0.0681142i
$605$	0.819853	−	4.64961i	0.0333317	−	0.189034i
$606$	0.848550	+	2.86408i	0.0344700	+	0.116345i
$607$	−5.07597	+	8.79184i	−0.206027	+	0.356850i	−0.950460	−	0.310848i	$-0.899387\pi$
$607$	−5.07597	+	8.79184i	−0.206027	+	0.356850i	0.744432	+	0.667698i	$0.232720\pi$
$608$	−4.33118	−	0.490801i	−0.175653	−	0.0199046i
$609$	−14.1042	+	7.03306i	−0.571531	+	0.284994i
$610$	6.37092	−	2.31883i	0.257951	−	0.0938865i
$611$	−29.9878	−	25.1627i	−1.21318	−	1.01798i
$612$	−17.0883	−	8.70457i	−0.690754	−	0.351861i
$613$	−31.3073	+	11.3949i	−1.26449	+	0.460237i	−0.885274	−	0.465070i	$-0.846029\pi$
$613$	−31.3073	+	11.3949i	−1.26449	+	0.460237i	−0.379218	+	0.925307i	$0.623807\pi$
$614$	0.583625	+	0.212422i	0.0235532	+	0.00857266i
$615$	−9.84273	+	4.90808i	−0.396897	+	0.197913i
$616$	2.92110	+	5.05949i	0.117695	+	0.203853i
$617$	−24.1565	−	8.79223i	−0.972502	−	0.353962i	−0.193582	−	0.981084i	$-0.562010\pi$
$617$	−24.1565	−	8.79223i	−0.972502	−	0.353962i	−0.778921	+	0.627122i	$0.784233\pi$
$618$	−9.47347	+	21.7908i	−0.381079	+	0.876553i
$619$	−25.4393			−1.02249			−0.511245	−	0.859435i	$-0.670816\pi$
$619$	−25.4393			−1.02249			−0.511245	+	0.859435i	$0.670816\pi$
$620$	−4.39994	−	7.62093i	−0.176706	−	0.306064i
$621$	−25.6745	−	0.219828i	−1.03028	−	0.00882141i
$622$	20.7828	−	7.56432i	0.833315	−	0.303302i
$623$	2.09921	+	11.9052i	0.0841033	+	0.476973i
$624$	2.45010	+	8.26973i	0.0980825	+	0.331054i
$625$	0.863946	+	0.724937i	0.0345578	+	0.0289975i
$626$	−16.1680	+	28.0037i	−0.646202	+	1.11925i
$627$	−20.6630	+	0.0137331i	−0.825200	+	0.000548446i
$628$	9.00043	+	15.5892i	0.359156	+	0.622077i
$629$	−10.9368	+	62.0256i	−0.436079	+	2.47312i
$630$	−8.39414	+	1.93891i	−0.334431	+	0.0772481i
$631$	31.3145	+	11.3975i	1.24661	+	0.453729i	0.879254	−	0.476353i	$-0.158041\pi$
$631$	31.3145	+	11.3975i	1.24661	+	0.453729i	0.367354	+	0.930081i	$0.380264\pi$
$632$	−2.15898	−	1.81160i	−0.0858796	−	0.0720615i
$633$	−8.68685	+	19.9814i	−0.345271	+	0.794189i
$634$	5.82318			0.231268
$635$	7.39776	+	12.8133i	0.293571	+	0.508480i
$636$	−0.535755	−	0.723948i	−0.0212441	−	0.0287064i
$637$	9.32068	−	7.82098i	0.369299	−	0.309879i
$638$	−5.83329	+	10.1035i	−0.230942	+	0.400003i
$639$	22.3333	−	29.6440i	0.883490	−	1.17270i
$640$	−1.03056	+	0.864747i	−0.0407367	+	0.0341821i
$641$	−20.8430	−	17.4893i	−0.823247	−	0.690787i	0.130483	−	0.991451i	$-0.458347\pi$
$641$	−20.8430	−	17.4893i	−0.823247	−	0.690787i	−0.953730	+	0.300664i	$0.902792\pi$
$642$	5.85914	−	13.4771i	0.231242	−	0.531900i
$643$	15.1879	−	5.52796i	0.598954	−	0.218001i	−0.0247093	−	0.999695i	$-0.507866\pi$
$643$	15.1879	−	5.52796i	0.598954	−	0.218001i	0.623663	+	0.781693i	$0.285644\pi$
$644$	−8.08001	−	6.77993i	−0.318397	−	0.267167i
$645$	−20.7421	−	13.7272i	−0.816719	−	0.540510i
$646$	27.6872	+	3.13746i	1.08934	+	0.123442i
$647$	37.7842			1.48545			0.742726	−	0.669596i	$-0.233533\pi$
$647$	37.7842			1.48545			0.742726	+	0.669596i	$0.233533\pi$
$648$	5.29167	+	7.27999i	0.207876	+	0.285985i
$649$	−0.848336	−	0.711838i	−0.0333001	−	0.0279421i
$650$	2.75856	+	15.6446i	0.108200	+	0.613630i
$651$	−23.5166	−	5.64447i	−0.921688	−	0.221224i
$652$	1.71174	+	9.70778i	0.0670371	+	0.380186i
$653$	36.8451			1.44186			0.720929	−	0.693009i	$-0.243715\pi$
$653$	36.8451			1.44186			0.720929	+	0.693009i	$0.243715\pi$
$654$	11.2612	+	7.45274i	0.440348	+	0.291425i
$655$	14.7777	−	12.4000i	0.577413	−	0.484507i
$656$	0.819642	+	4.64842i	0.0320017	+	0.181490i
$657$	35.5407	+	4.35988i	1.38657	+	0.170095i
$658$	−8.39036	−	14.5325i	−0.327090	−	0.566537i
$659$	20.9504	+	7.62532i	0.816112	+	0.297040i	0.716146	−	0.697950i	$-0.245904\pi$
$659$	20.9504	+	7.62532i	0.816112	+	0.297040i	0.0999658	+	0.994991i	$0.468127\pi$
$660$	−4.38960	+	4.62618i	−0.170865	+	0.180074i
$661$	28.7355	−	24.1119i	1.11768	−	0.937846i	0.119196	−	0.992871i	$-0.461968\pi$
$661$	28.7355	−	24.1119i	1.11768	−	0.937846i	0.998485	+	0.0550248i	$0.0175238\pi$
$662$	−32.4430	+	11.8083i	−1.26093	+	0.458942i
$663$	−15.6623	−	52.8645i	−0.608274	−	2.05309i
$664$	7.38003	+	12.7826i	0.286401	+	0.496060i
$665$	10.4340	−	6.91526i	0.404613	−	0.268162i
$666$	17.7856	−	23.6077i	0.689177	−	0.914778i
$667$	3.65759	−	20.7432i	0.141622	−	0.803180i
$668$	−1.72065	+	9.75826i	−0.0665738	+	0.377559i
$669$	1.33407	−	3.06860i	0.0515780	−	0.118639i
$670$	−0.789901	+	4.47975i	−0.0305166	+	0.173068i
$671$	−2.39509	−	13.5832i	−0.0924612	−	0.524374i
$672$	−0.225510	+	3.69039i	−0.00869925	+	0.142360i
$673$	37.0342			1.42756			0.713781	−	0.700369i	$-0.246981\pi$
$673$	37.0342			1.42756			0.713781	+	0.700369i	$0.246981\pi$
$674$	−3.81342	−	21.6270i	−0.146888	−	0.833041i
$675$	8.16504	+	14.4261i	0.314272	+	0.555261i
$676$	−5.89857	+	10.2166i	−0.226868	+	0.392947i
$677$	−20.4183	+	35.3656i	−0.784740	+	1.35921i	0.144414	+	0.989517i	$0.453870\pi$
$677$	−20.4183	+	35.3656i	−0.784740	+	1.35921i	−0.929154	+	0.369692i	$0.879463\pi$
$678$	18.7114	−	2.13293i	0.718606	−	0.0819148i
$679$	1.33386	−	7.56471i	0.0511890	−	0.290307i
$680$	6.58792	−	5.52792i	0.252635	−	0.211986i
$681$	10.0252	−	10.5655i	0.384167	−	0.404873i
$682$	−16.8228	+	6.12299i	−0.644177	+	0.234461i
$683$	31.5158			1.20592			0.602959	−	0.797772i	$-0.293988\pi$
$683$	31.5158			1.20592			0.602959	+	0.797772i	$0.293988\pi$
$684$	−10.9097	−	7.20966i	−0.417141	−	0.275668i
$685$	−3.81842			−0.145894
$686$	18.9424	−	6.89446i	0.723224	−	0.263232i
$687$	42.1653	+	10.1206i	1.60871	+	0.386123i
$688$	−8.17715	+	6.86144i	−0.311751	+	0.261590i
$689$	0.449632	−	2.54999i	0.0171296	−	0.0971468i
$690$	4.59054	−	10.5591i	0.174759	−	0.401978i
$691$	−2.42765	+	4.20482i	−0.0923523	+	0.159959i	−0.908500	−	0.417884i	$-0.862772\pi$
$691$	−2.42765	+	4.20482i	−0.0923523	+	0.159959i	0.816148	+	0.577843i	$0.196105\pi$
$692$	2.76668	−	4.79203i	0.105173	−	0.182166i
$693$	0.919194	+	17.5025i	0.0349173	+	0.664864i
$694$	−0.580278	−	3.29092i	−0.0220270	−	0.124922i
$695$	−9.77830			−0.370912
$696$	−6.60735	+	3.29476i	−0.250451	+	0.124887i
$697$	−5.23959	−	29.7152i	−0.198464	−	1.12554i
$698$	−0.262887	+	1.49091i	−0.00995043	+	0.0564317i
$699$	−10.4915	−	14.1768i	−0.396824	−	0.536215i
$700$	−1.18250	+	6.70631i	−0.0446944	+	0.253475i
$701$	−0.189288	+	1.07351i	−0.00714932	+	0.0405458i	−0.988174	−	0.153338i	$-0.950998\pi$
$701$	−0.189288	+	1.07351i	−0.00714932	+	0.0405458i	0.981024	+	0.193884i	$0.0621086\pi$
$702$	−4.71118	+	25.4426i	−0.177812	+	0.960270i
$703$	−12.1722	+	41.1850i	−0.459085	+	1.55332i
$704$	1.36844	+	2.37021i	0.0515750	+	0.0893305i
$705$	12.6084	−	13.2879i	0.474859	−	0.500452i
$706$	29.1188	−	10.5984i	1.09590	−	0.398876i
$707$	−2.82013	+	2.36637i	−0.106062	+	0.0889966i
$708$	−0.199086	−	0.671968i	−0.00748212	−	0.0252541i
$709$	−29.6495	−	10.7915i	−1.11351	−	0.405284i	−0.281230	−	0.959640i	$-0.590742\pi$
$709$	−29.6495	−	10.7915i	−1.11351	−	0.405284i	−0.832280	+	0.554356i	$0.812965\pi$
$710$	8.32190	+	14.4140i	0.312315	+	0.540946i
$711$	−3.30450	−	7.78255i	−0.123929	−	0.291868i
$712$	0.983413	+	5.57721i	0.0368550	+	0.209015i
$713$	24.7598	−	20.7759i	0.927261	−	0.778064i
$714$	1.44158	−	23.5909i	0.0539499	−	0.882868i
$715$	−18.3349			−0.685685
$716$	−1.78756	−	10.1378i	−0.0668042	−	0.378866i
$717$	−21.2273	+	22.3713i	−0.792747	+	0.835473i
$718$	−3.18767	−	18.0782i	−0.118963	−	0.674671i
$719$	7.06139	+	5.92521i	0.263345	+	0.220973i	0.764894	−	0.644157i	$-0.222792\pi$
$719$	7.06139	+	5.92521i	0.263345	+	0.220973i	−0.501548	+	0.865130i	$0.667236\pi$
$720$	−3.93238	+	0.908316i	−0.146551	+	0.0338510i
$721$	−29.2836			−1.09058
$722$	18.5182	+	4.25149i	0.689177	+	0.158224i
$723$	−0.562957	+	9.21257i	−0.0209366	+	0.342619i
$724$	16.8587	+	14.1461i	0.626548	+	0.525736i
$725$	−12.7786	+	4.65104i	−0.474587	+	0.172735i
$726$	−3.61597	−	4.88614i	−0.134201	−	0.181342i
$727$	18.8002	+	15.7752i	0.697261	+	0.585071i	0.920993	−	0.389580i	$-0.127380\pi$
$727$	18.8002	+	15.7752i	0.697261	+	0.585071i	−0.223732	+	0.974651i	$0.571824\pi$
$728$	−8.14283	+	6.83265i	−0.301793	+	0.253235i
$729$	4.23252	+	26.6662i	0.156760	+	0.987637i
$730$	−8.02859	+	13.9059i	−0.297151	+	0.514681i
$731$	52.2727	−	43.8620i	1.93337	−	1.62229i
$732$	3.48017	−	8.00505i	0.128631	−	0.295875i
$733$	−18.0020	−	31.1803i	−0.664918	−	1.15167i	−0.979308	−	0.202377i	$-0.935133\pi$
$733$	−18.0020	−	31.1803i	−0.664918	−	1.15167i	0.314390	−	0.949294i	$-0.398200\pi$
$734$	21.0712			0.777753
$735$	3.38684	+	4.57653i	0.124926	+	0.168808i
$736$	−3.78522	−	3.17617i	−0.139525	−	0.117075i
$737$	8.69606	+	3.16511i	0.320324	+	0.116588i
$738$	−4.13861	+	13.5421i	−0.152344	+	0.498492i
$739$	3.03117	−	17.1906i	0.111503	−	0.632368i	−0.876919	−	0.480639i	$-0.840405\pi$
$739$	3.03117	−	17.1906i	0.111503	−	0.632368i	0.988422	−	0.151729i	$-0.0484841\pi$
$740$	6.62733	+	11.4789i	0.243625	+	0.421972i
$741$	−6.55303	−	37.0202i	−0.240732	−	1.35997i
$742$	0.554979	−	0.961252i	0.0203739	−	0.0352887i
$743$	−22.4942	−	18.8748i	−0.825231	−	0.692451i	0.128960	−	0.991650i	$-0.458836\pi$
$743$	−22.4942	−	18.8748i	−0.825231	−	0.692451i	−0.954191	+	0.299199i	$0.903281\pi$
$744$	−11.0168	−	2.64425i	−0.403894	−	0.0969429i
$745$	−1.08043	−	6.12742i	−0.0395839	−	0.224491i
$746$	−7.77364	+	2.82937i	−0.284613	+	0.103591i
$747$	2.32230	+	44.2192i	0.0849686	+	1.61790i
$748$	−8.74779	−	15.1516i	−0.319851	−	0.553998i
$749$	18.1113			0.661772
$750$	−18.9614	+	2.16143i	−0.692372	+	0.0789244i
$751$	23.5684	+	8.57820i	0.860023	+	0.313023i	0.734120	−	0.679020i	$-0.237595\pi$
$751$	23.5684	+	8.57820i	0.860023	+	0.313023i	0.125903	+	0.992043i	$0.459817\pi$
$752$	−3.93061	−	6.80801i	−0.143335	−	0.248263i
$753$	3.09078	−	50.5793i	0.112634	−	1.84321i
$754$	−19.9468	−	7.26006i	−0.726421	−	0.264396i
$755$	−6.18745	+	2.25205i	−0.225184	+	0.0819604i
$756$	−5.62795	+	9.55796i	−0.204687	+	0.347620i
$757$	−12.0580	−	10.1179i	−0.438255	−	0.367740i	0.396801	−	0.917905i	$-0.370120\pi$
$757$	−12.0580	−	10.1179i	−0.438255	−	0.367740i	−0.835056	+	0.550165i	$0.814565\pi$
$758$	12.4312	−	4.52459i	0.451522	−	0.164341i
$759$	−19.5333	−	12.9273i	−0.709014	−	0.469230i
$760$	4.88798	−	3.23957i	0.177306	−	0.117512i
$761$	−20.6148	+	35.7058i	−0.747285	+	1.29434i	0.201835	+	0.979420i	$0.435310\pi$
$761$	−20.6148	+	35.7058i	−0.747285	+	1.29434i	−0.949120	+	0.314916i	$0.898024\pi$
$762$	18.5228	+	4.44586i	0.671010	+	0.161056i
$763$	−2.88997	+	16.3898i	−0.104624	+	0.593352i
$764$	18.6697	+	6.79522i	0.675446	+	0.245842i
$765$	25.1379	−	5.80644i	0.908861	−	0.209932i
$766$	12.6743	−	10.6350i	0.457940	−	0.384257i
$767$	1.00746	−	1.74498i	0.0363774	−	0.0630074i
$768$	−0.105644	+	1.72883i	−0.00381211	+	0.0623836i
$769$	24.4695	+	8.90619i	0.882394	+	0.321165i	0.743176	−	0.669096i	$-0.233319\pi$
$769$	24.4695	+	8.90619i	0.882394	+	0.321165i	0.139219	+	0.990262i	$0.455541\pi$
$770$	−7.38556	−	2.68813i	−0.266157	−	0.0968733i
$771$	0.220206	−	3.60358i	0.00793053	−	0.129780i
$772$	3.88190	−	6.72365i	0.139713	−	0.241989i
$773$	−12.4096	+	10.4129i	−0.446344	+	0.374527i	−0.838077	−	0.545552i	$-0.816320\pi$
$773$	−12.4096	+	10.4129i	−0.446344	+	0.374527i	0.391733	+	0.920079i	$0.371876\pi$
$774$	−31.2020	+	7.20715i	−1.12153	+	0.259056i
$775$	−19.6089	−	7.13705i	−0.704372	−	0.256370i
$776$	0.624871	−	3.54382i	0.0224316	−	0.127216i
$777$	35.4214	+	8.50187i	1.27074	+	0.305003i
$778$	−16.8357	+	29.1603i	−0.603589	+	1.04545i
$779$	−1.26857	−	20.5354i	−0.0454512	−	0.735758i
$780$	−9.67621	−	6.40378i	−0.346464	−	0.229292i
$781$	31.8180	−	11.5808i	1.13854	−	0.414393i
$782$	24.1971	+	20.3038i	0.865287	+	0.726062i
$783$	−22.1490	−	0.189642i	−0.791540	−	0.00677725i
$784$	2.29604	−	0.835689i	0.0820013	−	0.0298460i
$785$	−22.7562	−	8.28259i	−0.812205	−	0.295618i
$786$	1.51488	−	24.7904i	0.0540339	−	0.884244i
$787$	−8.66653	−	15.0109i	−0.308928	−	0.535080i	0.669200	−	0.743082i	$-0.266637\pi$
$787$	−8.66653	−	15.0109i	−0.308928	−	0.535080i	−0.978128	+	0.208003i	$0.933304\pi$
$788$	13.2710	+	4.83026i	0.472761	+	0.172071i
$789$	−0.419246	+	0.0477903i	−0.0149255	+	0.00170138i
$790$	3.79154			0.134897
$791$	11.6048	+	20.1002i	0.412621	+	0.714680i
$792$	0.430612	+	8.19934i	0.0153011	+	0.291351i
$793$	23.5821	−	8.58317i	0.837423	−	0.304797i
$794$	0.697498	+	3.95571i	0.0247533	+	0.140383i
$795$	1.17816	+	0.282783i	0.0417851	+	0.0100293i
$796$	13.1532	+	11.0369i	0.466204	+	0.391192i
$797$	9.40083	−	16.2827i	0.332995	−	0.576763i	−0.650103	−	0.759846i	$-0.725274\pi$
$797$	9.40083	−	16.2827i	0.332995	−	0.576763i	0.983098	+	0.183083i	$0.0586076\pi$
$798$	2.78797	−	15.8731i	0.0986931	−	0.561900i
$799$	25.1265	+	43.5204i	0.888913	+	1.53964i
$800$	−0.553964	+	3.14168i	−0.0195856	+	0.111075i
$801$	−4.96554	+	16.2479i	−0.175449	+	0.574092i
$802$	−6.27567	−	2.28416i	−0.221601	−	0.0806563i
$803$	25.0240	+	20.9977i	0.883079	+	0.740991i
$804$	3.48387	+	4.70764i	0.122867	+	0.166026i
$805$	14.1899			0.500128
$806$	−16.2865	−	28.2090i	−0.573666	−	0.993619i
$807$	−13.4811	+	31.0090i	−0.474556	+	1.09157i
$808$	−1.32114	+	1.10857i	−0.0464775	+	0.0389993i
$809$	24.1445	−	41.8194i	0.848874	−	1.47029i	−0.0333392	−	0.999444i	$-0.510614\pi$
$809$	24.1445	−	41.8194i	0.848874	−	1.47029i	0.882214	−	0.470849i	$-0.156052\pi$
$810$	−11.7488	−	2.92655i	−0.412809	−	0.102829i
$811$	14.0597	−	11.7975i	0.493702	−	0.414265i	−0.361649	−	0.932314i	$-0.617786\pi$
$811$	14.0597	−	11.7975i	0.493702	−	0.414265i	0.855351	+	0.518049i	$0.173342\pi$
$812$	−6.97048	−	5.84892i	−0.244616	−	0.205257i
$813$	4.77719	+	6.45526i	0.167543	+	0.226396i
$814$	25.3389	−	9.22262i	0.888130	−	0.323253i
$815$	−10.1588	−	8.52428i	−0.355849	−	0.298592i
$816$	0.675334	−	11.0516i	0.0236414	−	0.386882i
$817$	38.7843	−	25.7048i	1.35689	−	0.899297i
$818$	20.5280			0.717745
$819$	−31.0710	+	7.17691i	−1.08571	+	0.250781i
$820$	−4.86440	−	4.08172i	−0.169872	−	0.142540i
$821$	−4.82447	−	27.3609i	−0.168375	−	0.954903i	−0.945516	−	0.325576i	$-0.894442\pi$
$821$	−4.82447	−	27.3609i	−0.168375	−	0.954903i	0.777141	−	0.629327i	$-0.216669\pi$
$822$	−3.38384	+	3.56621i	−0.118025	+	0.124386i
$823$	−0.118340	−	0.671138i	−0.00412506	−	0.0233944i	0.982676	−	0.185333i	$-0.0593364\pi$
$823$	−0.118340	−	0.671138i	−0.00412506	−	0.0233944i	−0.986801	+	0.161939i	$0.948225\pi$
$824$	−13.7184			−0.477903
$825$	−0.922386	+	15.0945i	−0.0321133	+	0.525522i
$826$	0.661657	−	0.555196i	0.0230220	−	0.0193178i
$827$	−6.60377	−	37.4518i	−0.229636	−	1.30233i	−0.853622	−	0.520893i	$-0.825599\pi$
$827$	−6.60377	−	37.4518i	−0.229636	−	1.30233i	0.623987	−	0.781435i	$-0.285512\pi$
$828$	−5.79360	−	13.6447i	−0.201341	−	0.474186i
$829$	−4.03535	−	6.98943i	−0.140153	−	0.242753i	0.787401	−	0.616441i	$-0.211426\pi$
$829$	−4.03535	−	6.98943i	−0.140153	−	0.242753i	−0.927554	+	0.373688i	$0.878093\pi$
$830$	−18.6593	−	6.79143i	−0.647673	−	0.235734i
$831$	−4.98690	−	16.8321i	−0.172994	−	0.583899i
$832$	−3.81465	+	3.20087i	−0.132249	+	0.110970i
$833$	−14.6775	+	5.34217i	−0.508545	+	0.185095i
$834$	−8.66542	+	9.13246i	−0.300059	+	0.316231i
$835$	−6.66519	−	11.5444i	−0.230658	−	0.399512i
$836$	−4.76366	−	10.9374i	−0.164755	−	0.378279i
$837$	−25.8490	−	22.0698i	−0.893473	−	0.762844i
$838$	−1.03657	+	5.87870i	−0.0358078	+	0.203076i
$839$	1.24114	−	7.03887i	0.0428490	−	0.243009i	−0.955859	−	0.293826i	$-0.905071\pi$
$839$	1.24114	−	7.03887i	0.0428490	−	0.243009i	0.998708	+	0.0508171i	$0.0161826\pi$
$840$	−2.95885	−	3.99819i	−0.102090	−	0.137951i
$841$	−1.88046	+	10.6646i	−0.0648435	+	0.367746i
$842$	1.19614	+	6.78366i	0.0412218	+	0.233780i
$843$	22.9276	−	11.4328i	0.789668	−	0.393768i
$844$	−12.5793			−0.432998
$845$	−2.75593	−	15.6296i	−0.0948068	−	0.537676i
$846$	−1.23686	−	23.5512i	−0.0425241	−	0.809707i
$847$	3.74572	−	6.48777i	0.128704	−	0.222923i
$848$	0.259989	−	0.450315i	0.00892808	−	0.0154639i
$849$	11.0996	−	25.5312i	0.380938	−	0.876228i
$850$	3.54123	−	20.0833i	0.121463	−	0.688852i
$851$	−37.2939	+	31.2933i	−1.27842	+	1.07272i
$852$	20.8367	+	5.00124i	0.713854	+	0.171340i
$853$	−44.3582	+	16.1451i	−1.51879	+	0.552796i	−0.960847	−	0.277080i	$-0.910633\pi$
$853$	−44.3582	+	16.1451i	−1.51879	+	0.552796i	−0.557948	+	0.829876i	$0.688411\pi$
$854$	10.7576			0.368118
$855$	17.4776	−	2.00407i	0.597723	−	0.0685376i
$856$	8.48454			0.289996
$857$	−21.1091	+	7.68310i	−0.721074	+	0.262450i	−0.676382	−	0.736551i	$-0.736453\pi$
$857$	−21.1091	+	7.68310i	−0.721074	+	0.262450i	−0.0446925	+	0.999001i	$0.514231\pi$
$858$	−16.2482	+	17.1239i	−0.554703	+	0.584599i
$859$	−23.6511	+	19.8457i	−0.806967	+	0.677125i	−0.949882	−	0.312609i	$-0.898797\pi$
$859$	−23.6511	+	19.8457i	−0.806967	+	0.677125i	0.142915	+	0.989735i	$0.454352\pi$
$860$	2.49367	−	14.1423i	0.0850336	−	0.482249i
$861$	−17.3393	+	1.97653i	−0.590923	+	0.0673600i
$862$	16.0136	−	27.7364i	0.545426	−	0.944706i
$863$	8.19389	−	14.1922i	0.278923	−	0.483109i	−0.692194	−	0.721711i	$-0.743356\pi$
$863$	8.19389	−	14.1922i	0.278923	−	0.483109i	0.971117	+	0.238602i	$0.0766892\pi$
$864$	−2.63651	+	4.47759i	−0.0896959	+	0.152331i
$865$	1.29265	+	7.33098i	0.0439514	+	0.249261i
$866$	−19.7526			−0.671222
$867$	−2.52114	+	41.2574i	−0.0856224	+	1.40118i
$868$	−2.42464	−	13.7508i	−0.0822976	−	0.466733i
$869$	1.33943	−	7.59629i	0.0454371	−	0.257687i
$870$	3.96018	−	9.10915i	0.134263	−	0.308829i
$871$	−2.92383	+	16.5819i	−0.0990702	+	0.561855i
$872$	−1.35386	+	7.67810i	−0.0458473	+	0.260013i
$873$	6.49593	−	8.62235i	0.219854	−	0.291822i
$874$	14.8356	+	15.6144i	0.501821	+	0.528164i
$875$	−11.7599	−	20.3688i	−0.397558	−	0.688590i
$876$	5.87260	+	19.8216i	0.198417	+	0.669709i
$877$	44.6120	−	16.2374i	1.50644	−	0.548299i	0.548721	−	0.836005i	$-0.315115\pi$
$877$	44.6120	−	16.2374i	1.50644	−	0.548299i	0.957719	+	0.287706i	$0.0928926\pi$
$878$	15.4460	−	12.9607i	0.521276	−	0.437403i
$879$	6.12093	−	6.45083i	0.206454	−	0.217581i
$880$	−3.45989	−	1.25930i	−0.116633	−	0.0424509i
$881$	−0.713029	−	1.23500i	−0.0240226	−	0.0416083i	0.853764	−	0.520660i	$-0.174314\pi$
$881$	−0.713029	−	1.23500i	−0.0240226	−	0.0416083i	−0.877787	+	0.479052i	$0.840981\pi$
$882$	7.27563	+	0.892524i	0.244983	+	0.0300529i
$883$	6.72049	+	38.1138i	0.226162	+	1.28263i	0.860451	+	0.509534i	$0.170182\pi$
$883$	6.72049	+	38.1138i	0.226162	+	1.28263i	−0.634288	+	0.773097i	$0.718707\pi$
$884$	24.3853	−	20.4617i	0.820165	−	0.688200i
$885$	0.786253	+	0.520348i	0.0264296	+	0.0174913i
$886$	−29.0151			−0.974782
$887$	−2.26944	−	12.8706i	−0.0762004	−	0.432154i	−0.998911	−	0.0466602i	$-0.985142\pi$
$887$	−2.26944	−	12.8706i	−0.0762004	−	0.432154i	0.922710	−	0.385494i	$-0.125969\pi$
$888$	16.5938	+	3.98285i	0.556850	+	0.133656i
$889$	4.07662	+	23.1196i	0.136725	+	0.775408i
$890$	−5.83635	−	4.89728i	−0.195635	−	0.164157i
$891$	−10.0138	+	22.5046i	−0.335474	+	0.753932i
$892$	1.93184			0.0646829
$893$	13.6828	+	31.4159i	0.457877	+	1.05129i
$894$	−6.68017	−	4.42098i	−0.223418	−	0.147860i
$895$	10.6088	+	8.90183i	0.354613	+	0.297555i
$896$	−2.00589	+	0.730084i	−0.0670120	+	0.0243904i
$897$	16.9919	−	39.0847i	0.567344	−	1.30500i
$898$	−16.5925	−	13.9227i	−0.553698	−	0.464608i
$899$	21.3598	−	17.9230i	0.712390	−	0.597766i
$900$	−5.75880	+	7.64393i	−0.191960	+	0.254798i
$901$	−1.66199	+	2.87865i	−0.0553689	+	0.0959018i
$902$	−9.89609	+	8.30381i	−0.329504	+	0.276487i
$903$	−23.4774	−	31.7242i	−0.781278	−	1.05572i
$904$	5.43649	+	9.41628i	0.180815	+	0.313181i
$905$	−29.6068			−0.984163
$906$	−3.37995	+	7.77452i	−0.112291	+	0.258291i
$907$	−16.7411	−	14.0474i	−0.555878	−	0.466437i	0.321048	−	0.947063i	$-0.395965\pi$
$907$	−16.7411	−	14.0474i	−0.555878	−	0.466437i	−0.876926	+	0.480626i	$0.840409\pi$
$908$	7.90191	+	2.87606i	0.262234	+	0.0954454i
$909$	−5.04114	+	1.16442i	−0.167204	+	0.0386214i
$910$	2.48321	−	14.0830i	0.0823176	−	0.466846i
$911$	10.1334	+	17.5515i	0.335733	+	0.581507i	0.983625	−	0.180225i	$-0.0576825\pi$
$911$	10.1334	+	17.5515i	0.335733	+	0.581507i	−0.647892	+	0.761732i	$0.724349\pi$
$912$	1.30607	−	7.43601i	0.0432484	−	0.246231i
$913$	−20.1982	+	34.9844i	−0.668464	+	1.15781i
$914$	8.25311	+	6.92518i	0.272988	+	0.229065i
$915$	3.33580	+	11.2592i	0.110278	+	0.372217i
$916$	4.34738	+	24.6552i	0.143642	+	0.814632i
$917$	28.7633	−	10.4690i	0.949848	−	0.345716i
$918$	16.8540	−	28.6231i	0.556264	−	0.944704i
$919$	10.5441	+	18.2629i	0.347818	+	0.602439i	0.985862	−	0.167562i	$-0.0535893\pi$
$919$	10.5441	+	18.2629i	0.347818	+	0.602439i	−0.638043	+	0.770000i	$0.720256\pi$
$920$	6.64750			0.219162
$921$	−0.428898	+	0.986545i	−0.0141327	+	0.0325078i
$922$	5.15189	+	1.87514i	0.169669	+	0.0617543i
$923$	30.8036	+	53.3534i	1.01391	+	1.75615i
$924$	−9.05558	+	4.51557i	−0.297907	+	0.148551i
$925$	29.5355	+	10.7500i	0.971120	+	0.353459i
$926$	−22.5821	+	8.21922i	−0.742095	+	0.270100i
$927$	−36.6716	−	18.6800i	−1.20445	−	0.613533i
$928$	−3.26544	−	2.74003i	−0.107193	−	0.0899459i
$929$	35.1230	−	12.7837i	1.15235	−	0.419420i	0.305989	−	0.952035i	$-0.401013\pi$
$929$	35.1230	−	12.7837i	1.15235	−	0.419420i	0.846358	+	0.532615i	$0.178791\pi$
$930$	13.6401	−	6.80163i	0.447276	−	0.223034i
$931$	−10.3547	+	2.49262i	−0.339362	+	0.0816924i
$932$	5.09127	−	8.81834i	0.166770	−	0.288854i
$933$	10.8818	+	36.7290i	0.356255	+	1.20245i
$934$	6.54527	−	37.1201i	0.214168	−	1.21461i
$935$	22.1175	+	8.05010i	0.723319	+	0.263266i
$936$	−14.5558	+	3.36215i	−0.475770	+	0.109895i
$937$	−36.0513	+	30.2507i	−1.17775	+	0.988246i	−0.177754	+	0.984075i	$0.556883\pi$
$937$	−36.0513	+	30.2507i	−1.17775	+	0.988246i	−0.999991	+	0.00417098i	$0.998672\pi$
$938$	−3.60888	+	6.25076i	−0.117834	+	0.204095i
$939$	−46.7055	−	30.9100i	−1.52418	−	1.00871i
$940$	9.93795	+	3.61712i	0.324140	+	0.117977i
$941$	−29.7459	−	10.8266i	−0.969690	−	0.352938i	−0.191866	−	0.981421i	$-0.561454\pi$
$941$	−29.7459	−	10.8266i	−0.969690	−	0.352938i	−0.777823	+	0.628483i	$0.783676\pi$
$942$	−27.9019	+	13.9133i	−0.909092	+	0.453319i
$943$	11.6617	−	20.1986i	0.379756	−	0.657757i
$944$	0.309965	−	0.260091i	0.0100885	−	0.00846525i
$945$	−2.46525	−	14.7168i	−0.0801945	−	0.478739i
$946$	−27.4530	−	9.99207i	−0.892573	−	0.324870i
$947$	−3.88406	+	22.0276i	−0.126215	+	0.715800i	0.854364	+	0.519675i	$0.173947\pi$
$947$	−3.88406	+	22.0276i	−0.126215	+	0.715800i	−0.980579	+	0.196125i	$0.937164\pi$
$948$	3.36002	−	3.54112i	0.109128	−	0.115010i
$949$	−29.7179	+	51.4729i	−0.964685	+	1.67088i
$950$	3.94126	−	13.3353i	0.127871	−	0.432655i
$951$	−0.615185	+	10.0673i	−0.0199487	+	0.326453i
$952$	12.8227	−	4.66708i	0.415586	−	0.151261i
$953$	−39.1753	−	32.8720i	−1.26901	−	1.06483i	−0.994661	−	0.103200i	$-0.967092\pi$
$953$	−39.1753	−	32.8720i	−1.26901	−	1.06483i	−0.274353	−	0.961629i	$-0.588464\pi$
$954$	1.30818	−	0.849746i	0.0423539	−	0.0275115i
$955$	−25.1165	+	9.14165i	−0.812750	+	0.295817i
$956$	−16.7314	−	6.08973i	−0.541132	−	0.196956i
$957$	−16.8510	−	11.1521i	−0.544716	−	0.360497i
$958$	−9.81708	−	17.0037i	−0.317175	−	0.549364i
$959$	−5.69336	−	2.07221i	−0.183848	−	0.0669152i
$960$	−1.38612	−	1.87302i	−0.0447369	−	0.0604515i
$961$	11.7870			0.380226
$962$	24.5311	+	42.4892i	0.790916	+	1.36991i
$963$	22.6806	+	11.5532i	0.730873	+	0.372297i
$964$	−5.00744	+	1.82256i	−0.161279	+	0.0587006i
$965$	1.81370	+	10.2860i	0.0583851	+	0.331119i
$966$	12.5749	−	13.2527i	0.404592	−	0.426397i
$967$	29.9819	+	25.1578i	0.964152	+	0.809020i	0.981624	−	0.190828i	$-0.0611172\pi$
$967$	29.9819	+	25.1578i	0.964152	+	0.809020i	−0.0174714	+	0.999847i	$0.505562\pi$
$968$	1.75475	−	3.03931i	0.0563997	−	0.0976871i
$969$	−8.34911	+	47.5349i	−0.268212	+	1.52704i
$970$	2.42054	+	4.19249i	0.0777187	+	0.134613i
$971$	−5.42511	+	30.7673i	−0.174100	+	0.987370i	0.765077	+	0.643938i	$0.222701\pi$
$971$	−5.42511	+	30.7673i	−0.174100	+	0.987370i	−0.939178	+	0.343432i	$0.888410\pi$
$972$	−13.1449	+	8.37928i	−0.421622	+	0.268766i
$973$	−14.5797	−	5.30658i	−0.467404	−	0.170121i
$974$	21.8683	+	18.3497i	0.700706	+	0.587962i
$975$	−27.3381	+	3.11631i	−0.875521	+	0.0998017i
$976$	5.03959			0.161313
$977$	16.8675	+	29.2154i	0.539640	+	0.934683i	0.998923	+	0.0463937i	$0.0147729\pi$
$977$	16.8675	+	29.2154i	0.539640	+	0.934683i	−0.459283	+	0.888290i	$0.651894\pi$
$978$	−16.9639	+	1.93374i	−0.542446	+	0.0618341i
$979$	−11.8734	+	9.96297i	−0.379476	+	0.318418i
$980$	−1.64356	+	2.84672i	−0.0525015	+	0.0909352i
$981$	−14.0742	+	18.6813i	−0.449354	+	0.596449i
$982$	−18.5228	+	15.5424i	−0.591085	+	0.495979i
$983$	11.0739	+	9.29208i	0.353202	+	0.296371i	0.802074	−	0.597224i	$-0.203730\pi$
$983$	11.0739	+	9.29208i	0.353202	+	0.296371i	−0.448872	+	0.893596i	$0.648174\pi$
$984$	−8.12290	+	0.925940i	−0.258949	+	0.0295179i
$985$	−17.8536	+	6.49818i	−0.568863	+	0.207049i
$986$	20.8744	+	17.5157i	0.664777	+	0.557814i
$987$	26.0106	−	12.9702i	0.827927	−	0.412846i
$988$	18.0929	−	11.9913i	0.575613	−	0.381495i
$989$	52.7454			1.67721
$990$	−7.53412	−	8.07758i	−0.239450	−	0.256722i
$991$	34.0255	+	28.5508i	1.08085	+	0.906945i	0.995992	−	0.0894476i	$-0.0285101\pi$
$991$	34.0255	+	28.5508i	1.08085	+	0.906945i	0.0848635	+	0.996393i	$0.472955\pi$
$992$	−1.13586	−	6.44180i	−0.0360637	−	0.204527i
$993$	−16.9870	−	57.3358i	−0.539068	−	1.81950i
$994$	4.58587	+	26.0078i	0.145455	+	0.824917i
$995$	−23.0994			−0.732299
$996$	−22.8785	+	11.4084i	−0.724934	+	0.361488i
$997$	−36.9320	+	30.9897i	−1.16965	+	0.981453i	−0.999992	−	0.00405044i	$-0.998711\pi$
$997$	−36.9320	+	30.9897i	−1.16965	+	0.981453i	−0.169658	+	0.985503i	$0.554266\pi$
$998$	−0.955129	−	5.41680i	−0.0302341	−	0.171466i
$999$	38.9346	+	33.2422i	1.23184	+	1.05174i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	342.2.v.b.283.6	✓	66
9.7	even	3		342.2.w.b.169.1	yes	66
19.9	even	9		342.2.w.b.85.1	yes	66
171.142	even	9	inner	342.2.v.b.313.6	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
342.2.v.b.283.6	✓	66	1.1	even	1	trivial
342.2.v.b.313.6	yes	66	171.142	even	9	inner
342.2.w.b.85.1	yes	66	19.9	even	9
342.2.w.b.169.1	yes	66	9.7	even	3

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:	\( N \)	\(=\)	\( 342 = 2 \cdot 3^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	342.v (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.492020 - 1.66070i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.233610 + 1.32487i) q^{5} +(1.03034 + 1.39226i) q^{6} +(-1.06731 + 1.84864i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.51583 + 1.63419i) q^{9} +O(q^{10})\)	\(q+(-0.939693 + 0.342020i) q^{2} +(-0.492020 - 1.66070i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.233610 + 1.32487i) q^{5} +(1.03034 + 1.39226i) q^{6} +(-1.06731 + 1.84864i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.51583 + 1.63419i) q^{9} +(-0.233610 - 1.32487i) q^{10} -2.73688 q^{11} +(-1.44439 - 0.955904i) q^{12} +(-0.864711 - 4.90402i) q^{13} +(0.370673 - 2.10219i) q^{14} +(2.31515 - 0.263906i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-1.11005 + 6.29541i) q^{17} +(1.80518 - 2.39610i) q^{18} +(-1.23545 + 4.18015i) q^{19} +(0.672653 + 1.16507i) q^{20} +(3.59516 + 0.862914i) q^{21} +(2.57183 - 0.936068i) q^{22} +(-3.78522 + 3.17617i) q^{23} +(1.68422 + 0.404247i) q^{24} +(2.99776 + 1.09110i) q^{25} +(2.48984 + 4.31252i) q^{26} +(3.95174 + 3.37398i) q^{27} +(0.370673 + 2.10219i) q^{28} +(-3.26544 + 2.74003i) q^{29} +(-2.08527 + 1.03982i) q^{30} -6.54118 q^{31} +(0.173648 + 0.984808i) q^{32} +(1.34660 + 4.54513i) q^{33} +(-1.11005 - 6.29541i) q^{34} +(-2.19987 - 1.84591i) q^{35} +(-0.876800 + 2.86901i) q^{36} +9.85251 q^{37} +(-0.268757 - 4.35061i) q^{38} +(-7.71864 + 3.84890i) q^{39} +(-1.03056 - 0.864747i) q^{40} +(-4.43547 + 1.61438i) q^{41} +(-3.67348 + 0.418745i) q^{42} +(-8.17715 - 6.86144i) q^{43} +(-2.09657 + 1.75923i) q^{44} +(-1.57737 - 3.71491i) q^{45} +(2.47063 - 4.27925i) q^{46} +(6.02204 - 5.05309i) q^{47} +(-1.72091 + 0.196168i) q^{48} +(1.22170 + 2.11604i) q^{49} -3.19015 q^{50} +(11.0009 - 1.25401i) q^{51} +(-3.81465 - 3.20087i) q^{52} +(0.488620 + 0.177843i) q^{53} +(-4.86739 - 1.81893i) q^{54} +(0.639363 - 3.62601i) q^{55} +(-1.06731 - 1.84864i) q^{56} +(7.54983 - 0.00501778i) q^{57} +(2.13136 - 3.69163i) q^{58} +(0.309965 + 0.260091i) q^{59} +(1.60387 - 1.69031i) q^{60} +(0.875115 + 4.96303i) q^{61} +(6.14670 - 2.23721i) q^{62} +(-0.335855 - 6.39505i) q^{63} +(-0.500000 - 0.866025i) q^{64} +6.69919 q^{65} +(-2.81992 - 3.81046i) q^{66} +(-3.17736 - 1.15647i) q^{67} +(3.19626 + 5.53609i) q^{68} +(7.13707 + 4.72336i) q^{69} +(2.69853 + 0.982186i) q^{70} +(-11.6256 + 4.23139i) q^{71} +(-0.157337 - 2.99587i) q^{72} +(-9.14327 - 7.67212i) q^{73} +(-9.25834 + 3.36976i) q^{74} +(0.337021 - 5.51521i) q^{75} +(1.74054 + 3.99631i) q^{76} +(2.92110 - 5.05949i) q^{77} +(5.93675 - 6.25671i) q^{78} +(-0.489401 + 2.77553i) q^{79} +(1.26417 + 0.460122i) q^{80} +(3.65882 - 8.22271i) q^{81} +(3.61583 - 3.03404i) q^{82} +(7.38003 - 12.7826i) q^{83} +(3.30873 - 1.64990i) q^{84} +(-8.08127 - 2.94134i) q^{85} +(10.0308 + 3.65090i) q^{86} +(6.15702 + 4.07476i) q^{87} +(1.36844 - 2.37021i) q^{88} +(4.33830 - 3.64027i) q^{89} +(2.75282 + 2.95138i) q^{90} +(9.98866 + 3.63558i) q^{91} +(-0.858039 + 4.86618i) q^{92} +(3.21839 + 10.8629i) q^{93} +(-3.93061 + 6.80801i) q^{94} +(-5.24954 - 2.61333i) q^{95} +(1.55003 - 0.772922i) q^{96} +(-3.38147 + 1.23076i) q^{97} +(-1.87175 - 1.57058i) q^{98} +(6.88553 - 4.47259i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q + 6 q^{3} + 6 q^{6} - 12 q^{7} - 33 q^{8} + 6 q^{9}+O(q^{10}) \) 66 * q + 6 * q^3 + 6 * q^6 - 12 * q^7 - 33 * q^8 + 6 * q^9	\( 66 q + 6 q^{3} + 6 q^{6} - 12 q^{7} - 33 q^{8} + 6 q^{9} - 3 q^{13} - 3 q^{14} - 3 q^{15} + 9 q^{17} + 6 q^{18} - 21 q^{19} + 6 q^{22} + 6 q^{23} - 3 q^{24} - 12 q^{25} + 3 q^{27} - 3 q^{28} - 18 q^{29} + 45 q^{33} + 9 q^{34} - 18 q^{35} + 6 q^{36} + 6 q^{37} - 12 q^{38} + 12 q^{39} - 12 q^{41} - 3 q^{43} - 12 q^{44} + 9 q^{45} - 18 q^{47} - 3 q^{48} - 57 q^{49} + 126 q^{50} - 36 q^{51} + 6 q^{52} - 24 q^{53} - 9 q^{54} + 36 q^{55} - 12 q^{56} + 48 q^{57} - 18 q^{58} - 39 q^{59} - 30 q^{60} - 54 q^{61} - 21 q^{62} - 54 q^{63} - 33 q^{64} + 24 q^{65} - 27 q^{66} + 6 q^{67} - 6 q^{68} - 15 q^{69} + 36 q^{70} - 24 q^{71} - 3 q^{72} - 15 q^{73} + 6 q^{74} + 15 q^{78} + 21 q^{79} + 138 q^{81} + 6 q^{82} + 12 q^{83} - 24 q^{84} - 36 q^{85} - 3 q^{86} + 30 q^{87} + 9 q^{89} - 42 q^{90} + 27 q^{91} - 12 q^{92} - 9 q^{93} - 6 q^{94} - 3 q^{95} - 30 q^{97} + 24 q^{98} - 24 q^{99}+O(q^{100}) \) 66 * q + 6 * q^3 + 6 * q^6 - 12 * q^7 - 33 * q^8 + 6 * q^9 - 3 * q^13 - 3 * q^14 - 3 * q^15 + 9 * q^17 + 6 * q^18 - 21 * q^19 + 6 * q^22 + 6 * q^23 - 3 * q^24 - 12 * q^25 + 3 * q^27 - 3 * q^28 - 18 * q^29 + 45 * q^33 + 9 * q^34 - 18 * q^35 + 6 * q^36 + 6 * q^37 - 12 * q^38 + 12 * q^39 - 12 * q^41 - 3 * q^43 - 12 * q^44 + 9 * q^45 - 18 * q^47 - 3 * q^48 - 57 * q^49 + 126 * q^50 - 36 * q^51 + 6 * q^52 - 24 * q^53 - 9 * q^54 + 36 * q^55 - 12 * q^56 + 48 * q^57 - 18 * q^58 - 39 * q^59 - 30 * q^60 - 54 * q^61 - 21 * q^62 - 54 * q^63 - 33 * q^64 + 24 * q^65 - 27 * q^66 + 6 * q^67 - 6 * q^68 - 15 * q^69 + 36 * q^70 - 24 * q^71 - 3 * q^72 - 15 * q^73 + 6 * q^74 + 15 * q^78 + 21 * q^79 + 138 * q^81 + 6 * q^82 + 12 * q^83 - 24 * q^84 - 36 * q^85 - 3 * q^86 + 30 * q^87 + 9 * q^89 - 42 * q^90 + 27 * q^91 - 12 * q^92 - 9 * q^93 - 6 * q^94 - 3 * q^95 - 30 * q^97 + 24 * q^98 - 24 * q^99

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