LMFDB - Embedded newform 798.2.bp.d.613.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [798,2,Mod(289,798)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(798, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 6, 2]))

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

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

chi := DirichletCharacter("798.289");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 798 = 2 \cdot 3 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	798.bp (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:	$6.37206208130$
Analytic rank:	$0$
Dimension:	$36$
Relative dimension:	$6$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			613.5
Character	$\chi$	$=$	798.613
Dual form			798.2.bp.d.289.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.263049 - 1.49182i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-1.92115 + 1.81912i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})$	\(q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.263049 - 1.49182i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-1.92115 + 1.81912i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(1.16043 - 0.973718i) q^{10} +(1.75546 + 3.04055i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.432682 + 2.45386i) q^{13} +(-2.64099 + 0.158633i) q^{14} +(1.16043 - 0.973718i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.696732 + 3.95136i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-2.42526 - 3.62189i) q^{19} +1.51484 q^{20} +(-2.64099 + 0.158633i) q^{21} +(-0.609665 + 3.45758i) q^{22} +(0.412657 + 0.150195i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(2.54212 + 0.925257i) q^{25} +(-1.24586 + 2.15789i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-2.12508 - 1.57608i) q^{28} +(3.36697 + 1.22548i) q^{29} +1.51484 q^{30} +3.63768 q^{31} +(-0.939693 - 0.342020i) q^{32} +(-0.609665 + 3.45758i) q^{33} +(-3.07362 + 2.57907i) q^{34} +(2.20844 + 3.34453i) q^{35} +(-0.939693 + 0.342020i) q^{36} +(-0.755398 - 1.30839i) q^{37} +(0.470250 - 4.33346i) q^{38} +(-1.24586 + 2.15789i) q^{39} +(1.16043 + 0.973718i) q^{40} +(-1.80521 + 10.2379i) q^{41} +(-2.12508 - 1.57608i) q^{42} +(4.09131 + 3.43302i) q^{43} +(-2.68952 + 2.25678i) q^{44} +1.51484 q^{45} +(0.219570 + 0.380307i) q^{46} +(-1.85587 - 10.5251i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(0.381630 - 6.98959i) q^{49} +(1.35264 + 2.34283i) q^{50} +(-3.07362 + 2.57907i) q^{51} +(-2.34145 + 0.852217i) q^{52} +(0.774277 + 4.39114i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(4.99773 - 1.81902i) q^{55} +(-0.614826 - 2.57332i) q^{56} +(0.470250 - 4.33346i) q^{57} +(1.79153 + 3.10302i) q^{58} +(1.58203 - 8.97214i) q^{59} +(1.16043 + 0.973718i) q^{60} +(-9.68268 - 3.52421i) q^{61} +(2.78663 + 2.33826i) q^{62} +(-2.12508 - 1.57608i) q^{63} +(-0.500000 - 0.866025i) q^{64} +3.77454 q^{65} +(-2.68952 + 2.25678i) q^{66} +(7.59917 - 6.37646i) q^{67} -4.01232 q^{68} +(0.219570 + 0.380307i) q^{69} +(-0.458057 + 3.98162i) q^{70} +(-10.5640 - 8.86422i) q^{71} +(-0.939693 - 0.342020i) q^{72} +(2.20665 + 1.85160i) q^{73} +(0.262347 - 1.48784i) q^{74} +(1.35264 + 2.34283i) q^{75} +(3.14573 - 3.01735i) q^{76} +(-8.90361 - 2.64796i) q^{77} +(-2.34145 + 0.852217i) q^{78} +(12.3791 - 4.50562i) q^{79} +(0.263049 + 1.49182i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-7.96365 + 6.68230i) q^{82} +(-5.14157 - 8.90547i) q^{83} +(-0.614826 - 2.57332i) q^{84} +(5.71146 + 2.07880i) q^{85} +(0.927425 + 5.25969i) q^{86} +(1.79153 + 3.10302i) q^{87} -3.51092 q^{88} +(-4.81566 + 4.04082i) q^{89} +(1.16043 + 0.973718i) q^{90} +(-5.29511 - 3.92714i) q^{91} +(-0.0762560 + 0.432469i) q^{92} +(2.78663 + 2.33826i) q^{93} +(5.34375 - 9.25565i) q^{94} +(-6.04118 + 2.66532i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(7.99075 - 2.90840i) q^{97} +(4.78517 - 5.10903i) q^{98} +(-2.68952 + 2.25678i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 36 q - 6 q^{5} - 18 q^{8}+O(q^{10}) $ 36 * q - 6 * q^5 - 18 * q^8	$ 36 q - 6 q^{5} - 18 q^{8} + 3 q^{10} + 3 q^{11} - 18 q^{12} + 27 q^{13} + 12 q^{14} + 3 q^{15} + 6 q^{17} - 18 q^{18} - 12 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 9 q^{23} + 6 q^{25} + 9 q^{26} - 18 q^{27} + 9 q^{29} - 6 q^{30} + 6 q^{31} - 3 q^{33} - 3 q^{34} - 6 q^{35} + 21 q^{37} - 9 q^{38} + 9 q^{39} + 3 q^{40} - 9 q^{41} + 51 q^{43} + 6 q^{44} - 6 q^{45} + 6 q^{46} - 15 q^{47} + 24 q^{49} - 9 q^{50} - 3 q^{51} - 27 q^{52} + 30 q^{53} + 27 q^{55} - 9 q^{57} + 18 q^{58} + 6 q^{59} + 3 q^{60} + 30 q^{61} - 24 q^{62} - 18 q^{64} - 84 q^{65} + 6 q^{66} + 42 q^{67} - 36 q^{68} + 6 q^{69} - 24 q^{70} + 6 q^{71} + 66 q^{73} - 12 q^{74} - 9 q^{75} - 6 q^{76} + 9 q^{77} - 27 q^{78} + 12 q^{79} - 6 q^{80} - 18 q^{82} + 30 q^{83} + 36 q^{85} - 39 q^{86} + 18 q^{87} - 6 q^{88} + 66 q^{89} + 3 q^{90} - 9 q^{91} - 18 q^{92} - 24 q^{93} + 18 q^{94} - 57 q^{95} - 18 q^{96} + 45 q^{97} + 6 q^{99}+O(q^{100}) $ 36 * q - 6 * q^5 - 18 * q^8 + 3 * q^10 + 3 * q^11 - 18 * q^12 + 27 * q^13 + 12 * q^14 + 3 * q^15 + 6 * q^17 - 18 * q^18 - 12 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 9 * q^23 + 6 * q^25 + 9 * q^26 - 18 * q^27 + 9 * q^29 - 6 * q^30 + 6 * q^31 - 3 * q^33 - 3 * q^34 - 6 * q^35 + 21 * q^37 - 9 * q^38 + 9 * q^39 + 3 * q^40 - 9 * q^41 + 51 * q^43 + 6 * q^44 - 6 * q^45 + 6 * q^46 - 15 * q^47 + 24 * q^49 - 9 * q^50 - 3 * q^51 - 27 * q^52 + 30 * q^53 + 27 * q^55 - 9 * q^57 + 18 * q^58 + 6 * q^59 + 3 * q^60 + 30 * q^61 - 24 * q^62 - 18 * q^64 - 84 * q^65 + 6 * q^66 + 42 * q^67 - 36 * q^68 + 6 * q^69 - 24 * q^70 + 6 * q^71 + 66 * q^73 - 12 * q^74 - 9 * q^75 - 6 * q^76 + 9 * q^77 - 27 * q^78 + 12 * q^79 - 6 * q^80 - 18 * q^82 + 30 * q^83 + 36 * q^85 - 39 * q^86 + 18 * q^87 - 6 * q^88 + 66 * q^89 + 3 * q^90 - 9 * q^91 - 18 * q^92 - 24 * q^93 + 18 * q^94 - 57 * q^95 - 18 * q^96 + 45 * q^97 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

$n$	$115$	$211$	$533$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$2$	0.766044	+	0.642788i	0.541675	+	0.454519i
$3$	0.766044	+	0.642788i	0.442276	+	0.371114i
$3$	0.766044	+	0.642788i	0.442276	+	0.371114i
$4$	0.173648	+	0.984808i	0.0868241	+	0.492404i
$5$	0.263049	−	1.49182i	0.117639	−	0.667163i	−0.867771	−	0.496964i	$-0.834448\pi$
$5$	0.263049	−	1.49182i	0.117639	−	0.667163i	0.985410	−	0.170199i	$-0.0544410\pi$
$6$	0.173648	+	0.984808i	0.0708916	+	0.402046i
$7$	−1.92115	+	1.81912i	−0.726126	+	0.687561i
$7$	−1.92115	+	1.81912i	−0.726126	+	0.687561i
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	0.173648	+	0.984808i	0.0578827	+	0.328269i
$10$	1.16043	−	0.973718i	0.366961	−	0.307917i
$11$	1.75546	+	3.04055i	0.529291	+	0.916760i	0.999416	+	0.0341597i	$0.0108755\pi$
$11$	1.75546	+	3.04055i	0.529291	+	0.916760i	−0.470125	+	0.882600i	$0.655791\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	0.432682	+	2.45386i	0.120004	+	0.680579i	0.984150	+	0.177337i	$0.0567483\pi$
$13$	0.432682	+	2.45386i	0.120004	+	0.680579i	−0.864146	+	0.503242i	$0.832141\pi$
$14$	−2.64099	+	0.158633i	−0.705835	+	0.0423965i
$15$	1.16043	−	0.973718i	0.299622	−	0.251413i
$16$	−0.939693	+	0.342020i	−0.234923	+	0.0855050i
$17$	−0.696732	+	3.95136i	−0.168982	+	0.958346i	0.775880	+	0.630880i	$0.217306\pi$
$17$	−0.696732	+	3.95136i	−0.168982	+	0.958346i	−0.944863	+	0.327466i	$0.893805\pi$
$18$	−0.500000	+	0.866025i	−0.117851	+	0.204124i
$19$	−2.42526	−	3.62189i	−0.556393	−	0.830919i
$19$	−2.42526	−	3.62189i	−0.556393	−	0.830919i
$20$	1.51484			0.338728
$21$	−2.64099	+	0.158633i	−0.576312	+	0.0346166i
$22$	−0.609665	+	3.45758i	−0.129981	+	0.737159i
$23$	0.412657	+	0.150195i	0.0860450	+	0.0313178i	0.384684	−	0.923048i	$-0.374310\pi$
$23$	0.412657	+	0.150195i	0.0860450	+	0.0313178i	−0.298639	+	0.954366i	$0.596533\pi$
$24$	−0.939693	+	0.342020i	−0.191814	+	0.0698146i
$25$	2.54212	+	0.925257i	0.508425	+	0.185051i
$26$	−1.24586	+	2.15789i	−0.244333	+	0.423197i
$27$	−0.500000	+	0.866025i	−0.0962250	+	0.166667i
$28$	−2.12508	−	1.57608i	−0.401603	−	0.297850i
$29$	3.36697	+	1.22548i	0.625231	+	0.227566i	0.635154	−	0.772385i	$-0.280936\pi$
$29$	3.36697	+	1.22548i	0.625231	+	0.227566i	−0.00992316	+	0.999951i	$0.503159\pi$
$30$	1.51484			0.276570
$31$	3.63768			0.653347			0.326674	−	0.945137i	$-0.394072\pi$
$31$	3.63768			0.653347			0.326674	+	0.945137i	$0.394072\pi$
$32$	−0.939693	−	0.342020i	−0.166116	−	0.0604612i
$33$	−0.609665	+	3.45758i	−0.106129	+	0.601888i
$34$	−3.07362	+	2.57907i	−0.527121	+	0.442307i
$35$	2.20844	+	3.34453i	0.373295	+	0.565329i
$36$	−0.939693	+	0.342020i	−0.156615	+	0.0570034i
$37$	−0.755398	−	1.30839i	−0.124187	−	0.215098i	0.797228	−	0.603678i	$-0.206299\pi$
$37$	−0.755398	−	1.30839i	−0.124187	−	0.215098i	−0.921415	+	0.388581i	$0.872966\pi$
$38$	0.470250	−	4.33346i	0.0762847	−	0.702980i
$39$	−1.24586	+	2.15789i	−0.199497	+	0.345539i
$40$	1.16043	+	0.973718i	0.183480	+	0.153958i
$41$	−1.80521	+	10.2379i	−0.281927	+	1.59889i	0.434133	+	0.900849i	$0.357055\pi$
$41$	−1.80521	+	10.2379i	−0.281927	+	1.59889i	−0.716060	+	0.698039i	$0.754056\pi$
$42$	−2.12508	−	1.57608i	−0.327908	−	0.243194i
$43$	4.09131	+	3.43302i	0.623919	+	0.523530i	0.899033	−	0.437881i	$-0.144271\pi$
$43$	4.09131	+	3.43302i	0.623919	+	0.523530i	−0.275114	+	0.961412i	$0.588715\pi$
$44$	−2.68952	+	2.25678i	−0.405461	+	0.340222i
$45$	1.51484			0.225818
$46$	0.219570	+	0.380307i	0.0323739	+	0.0560732i
$47$	−1.85587	−	10.5251i	−0.270706	−	1.53525i	−0.752280	−	0.658844i	$-0.771046\pi$
$47$	−1.85587	−	10.5251i	−0.270706	−	1.53525i	0.481574	−	0.876406i	$-0.340065\pi$
$48$	−0.939693	−	0.342020i	−0.135633	−	0.0493664i
$49$	0.381630	−	6.98959i	0.0545186	−	0.998513i
$50$	1.35264	+	2.34283i	0.191292	+	0.331327i
$51$	−3.07362	+	2.57907i	−0.430392	+	0.361142i
$52$	−2.34145	+	0.852217i	−0.324700	+	0.118181i
$53$	0.774277	+	4.39114i	0.106355	+	0.603170i	0.990670	+	0.136279i	$0.0435145\pi$
$53$	0.774277	+	4.39114i	0.106355	+	0.603170i	−0.884315	+	0.466890i	$0.845374\pi$
$54$	−0.939693	+	0.342020i	−0.127876	+	0.0465430i
$55$	4.99773	−	1.81902i	0.673894	−	0.245277i
$56$	−0.614826	−	2.57332i	−0.0821596	−	0.343875i
$57$	0.470250	−	4.33346i	0.0622862	−	0.573981i
$58$	1.79153	+	3.10302i	0.235239	+	0.407446i
$59$	1.58203	−	8.97214i	0.205963	−	1.16807i	−0.689955	−	0.723853i	$-0.742370\pi$
$59$	1.58203	−	8.97214i	0.205963	−	1.16807i	0.895917	−	0.444221i	$-0.146519\pi$
$60$	1.16043	+	0.973718i	0.149811	+	0.125706i
$61$	−9.68268	−	3.52421i	−1.23974	−	0.451228i	−0.362817	−	0.931860i	$-0.618185\pi$
$61$	−9.68268	−	3.52421i	−1.23974	−	0.451228i	−0.876922	+	0.480632i	$0.840407\pi$
$62$	2.78663	+	2.33826i	0.353902	+	0.296959i
$63$	−2.12508	−	1.57608i	−0.267735	−	0.198567i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	3.77454			0.468174
$66$	−2.68952	+	2.25678i	−0.331057	+	0.277790i
$67$	7.59917	−	6.37646i	0.928387	−	0.779009i	−0.0471403	−	0.998888i	$-0.515011\pi$
$67$	7.59917	−	6.37646i	0.928387	−	0.779009i	0.975527	+	0.219879i	$0.0705663\pi$
$68$	−4.01232			−0.486565
$69$	0.219570	+	0.380307i	0.0264332	+	0.0457836i
$70$	−0.458057	+	3.98162i	−0.0547482	+	0.475894i
$71$	−10.5640	−	8.86422i	−1.25371	−	1.05199i	−0.996323	−	0.0856813i	$-0.972693\pi$
$71$	−10.5640	−	8.86422i	−1.25371	−	1.05199i	−0.257389	−	0.966308i	$-0.582862\pi$
$72$	−0.939693	−	0.342020i	−0.110744	−	0.0403075i
$73$	2.20665	+	1.85160i	0.258269	+	0.216713i	0.762723	−	0.646725i	$-0.223862\pi$
$73$	2.20665	+	1.85160i	0.258269	+	0.216713i	−0.504454	+	0.863438i	$0.668306\pi$
$74$	0.262347	−	1.48784i	0.0304972	−	0.172958i
$75$	1.35264	+	2.34283i	0.156189	+	0.270527i
$76$	3.14573	−	3.01735i	0.360840	−	0.346114i
$77$	−8.90361	−	2.64796i	−1.01466	−	0.301763i
$78$	−2.34145	+	0.852217i	−0.265117	+	0.0964946i
$79$	12.3791	−	4.50562i	1.39276	−	0.506922i	0.466737	−	0.884396i	$-0.345430\pi$
$79$	12.3791	−	4.50562i	1.39276	−	0.506922i	0.926020	+	0.377474i	$0.123207\pi$
$80$	0.263049	+	1.49182i	0.0294097	+	0.166791i
$81$	−0.939693	+	0.342020i	−0.104410	+	0.0380022i
$82$	−7.96365	+	6.68230i	−0.879438	+	0.737936i
$83$	−5.14157	−	8.90547i	−0.564361	−	0.977502i	−0.997109	−	0.0759870i	$-0.975789\pi$
$83$	−5.14157	−	8.90547i	−0.564361	−	0.977502i	0.432748	−	0.901515i	$-0.357544\pi$
$84$	−0.614826	−	2.57332i	−0.0670831	−	0.280772i
$85$	5.71146	+	2.07880i	0.619495	+	0.225478i
$86$	0.927425	+	5.25969i	0.100007	+	0.567167i
$87$	1.79153	+	3.10302i	0.192072	+	0.332679i
$88$	−3.51092			−0.374266
$89$	−4.81566	+	4.04082i	−0.510459	+	0.428326i	−0.861291	−	0.508113i	$-0.830343\pi$
$89$	−4.81566	+	4.04082i	−0.510459	+	0.428326i	0.350832	+	0.936439i	$0.385899\pi$
$90$	1.16043	+	0.973718i	0.122320	+	0.102639i
$91$	−5.29511	−	3.92714i	−0.555078	−	0.411676i
$92$	−0.0762560	+	0.432469i	−0.00795024	+	0.0450880i
$93$	2.78663	+	2.33826i	0.288960	+	0.242466i
$94$	5.34375	−	9.25565i	0.551166	−	0.954648i
$95$	−6.04118	+	2.66532i	−0.619812	+	0.273457i
$96$	−0.500000	−	0.866025i	−0.0510310	−	0.0883883i
$97$	7.99075	−	2.90840i	0.811338	−	0.295303i	0.0971615	−	0.995269i	$-0.469024\pi$
$97$	7.99075	−	2.90840i	0.811338	−	0.295303i	0.714176	+	0.699966i	$0.246801\pi$
$98$	4.78517	−	5.10903i	0.483375	−	0.516090i
$99$	−2.68952	+	2.25678i	−0.270307	+	0.226815i
$100$	−0.469765	+	2.66417i	−0.0469765	+	0.266417i
$101$	−0.264588	−	0.0963022i	−0.0263275	−	0.00958243i	0.328823	−	0.944392i	$-0.393348\pi$
$101$	−0.264588	−	0.0963022i	−0.0263275	−	0.00958243i	−0.355150	+	0.934809i	$0.615570\pi$
$102$	−4.01232			−0.397279
$103$	17.4781			1.72216			0.861082	−	0.508466i	$-0.169787\pi$
$103$	17.4781			1.72216			0.861082	+	0.508466i	$0.169787\pi$
$104$	−2.34145	−	0.852217i	−0.229598	−	0.0835668i
$105$	−0.458057	+	3.98162i	−0.0447017	+	0.388566i
$106$	−2.22944	+	3.86150i	−0.216542	+	0.375062i
$107$	−1.56408	+	2.70907i	−0.151205	+	0.261896i	−0.931671	−	0.363303i	$-0.881649\pi$
$107$	−1.56408	+	2.70907i	−0.151205	+	0.261896i	0.780465	+	0.625199i	$0.214982\pi$
$108$	−0.939693	−	0.342020i	−0.0904220	−	0.0329109i
$109$	−14.4913	+	5.27442i	−1.38802	+	0.505198i	−0.924599	−	0.380941i	$-0.875600\pi$
$109$	−14.4913	+	5.27442i	−1.38802	+	0.505198i	−0.463420	+	0.886139i	$0.653378\pi$
$110$	4.99773	+	1.81902i	0.476515	+	0.173437i
$111$	0.262347	−	1.48784i	0.0249009	−	0.141220i
$112$	1.18312	−	2.36648i	0.111794	−	0.223612i
$113$	0.871577			0.0819910			0.0409955	−	0.999159i	$-0.486947\pi$
$113$	0.871577			0.0819910			0.0409955	+	0.999159i	$0.486947\pi$
$114$	3.14573	−	3.01735i	0.294624	−	0.282601i
$115$	0.332613	−	0.576103i	0.0310163	−	0.0537219i
$116$	−0.622191	+	3.52862i	−0.0577690	+	0.327624i
$117$	−2.34145	+	0.852217i	−0.216467	+	0.0787875i
$118$	6.97909	−	5.85615i	0.642477	−	0.539102i
$119$	−5.84946	−	8.85860i	−0.536220	−	0.812066i
$120$	0.263049	+	1.49182i	0.0240129	+	0.136184i
$121$	−0.663286	+	1.14885i	−0.0602988	+	0.104441i
$122$	−5.15204	−	8.92360i	−0.466444	−	0.807905i
$123$	−7.96365	+	6.68230i	−0.718058	+	0.602522i
$124$	0.631677	+	3.58242i	0.0567263	+	0.321711i
$125$	5.83611	−	10.1084i	0.521998	−	0.904127i
$126$	−0.614826	−	2.57332i	−0.0547731	−	0.229250i
$127$	0.671882	+	3.81043i	0.0596199	+	0.338121i	0.999998	−	0.00200972i	$-0.000639714\pi$
$127$	0.671882	+	3.81043i	0.0596199	+	0.338121i	−0.940378	+	0.340131i	$0.889529\pi$
$128$	0.173648	−	0.984808i	0.0153485	−	0.0870455i
$129$	0.927425	+	5.25969i	0.0816552	+	0.463090i
$130$	2.89147	+	2.42623i	0.253598	+	0.212794i
$131$	−5.04749	−	4.23534i	−0.441001	−	0.370044i	0.395083	−	0.918645i	$-0.370716\pi$
$131$	−5.04749	−	4.23534i	−0.441001	−	0.370044i	−0.836084	+	0.548602i	$0.815160\pi$
$132$	−3.51092			−0.305587
$133$	11.2479	+	2.54637i	0.975320	+	0.220798i
$134$	9.92002			0.856959
$135$	1.16043	+	0.973718i	0.0998741	+	0.0838043i
$136$	−3.07362	−	2.57907i	−0.263560	−	0.221153i
$137$	2.33723	+	13.2551i	0.199683	+	1.13246i	0.905590	+	0.424153i	$0.139428\pi$
$137$	2.33723	+	13.2551i	0.199683	+	1.13246i	−0.705908	+	0.708304i	$0.749461\pi$
$138$	−0.0762560	+	0.432469i	−0.00649134	+	0.0368142i
$139$	−0.0972678	−	0.551633i	−0.00825015	−	0.0467889i	0.980405	−	0.196994i	$-0.0631178\pi$
$139$	−0.0972678	−	0.551633i	−0.00825015	−	0.0467889i	−0.988655	+	0.150205i	$0.952007\pi$
$140$	−2.91023	+	2.75566i	−0.245959	+	0.232896i
$141$	5.34375	−	9.25565i	0.450025	−	0.779467i
$142$	−2.39466	−	13.5808i	−0.200955	−	1.13967i
$143$	−6.70153	+	5.62325i	−0.560410	+	0.470240i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	2.71387	−	4.70057i	0.225375	−	0.390361i
$146$	0.500207	+	2.83682i	0.0413974	+	0.234777i
$147$	4.78517	−	5.10903i	0.394674	−	0.421386i
$148$	1.15734	−	0.971121i	0.0951325	−	0.0798257i
$149$	2.40321	−	0.874697i	0.196879	−	0.0716580i	−0.241699	−	0.970351i	$-0.577705\pi$
$149$	2.40321	−	0.874697i	0.196879	−	0.0716580i	0.438578	+	0.898693i	$0.355482\pi$
$150$	−0.469765	+	2.66417i	−0.0383562	+	0.217529i
$151$	−1.37863	+	2.38786i	−0.112192	+	0.194322i	−0.916654	−	0.399683i	$-0.869120\pi$
$151$	−1.37863	+	2.38786i	−0.112192	+	0.194322i	0.804462	+	0.594004i	$0.202454\pi$
$152$	4.34928	−	0.289391i	0.352773	−	0.0234727i
$153$	−4.01232			−0.324377
$154$	−5.11849	−	7.75159i	−0.412460	−	0.624641i
$155$	0.956887	−	5.42678i	0.0768590	−	0.435889i
$156$	−2.34145	−	0.852217i	−0.187466	−	0.0682320i
$157$	22.0445	−	8.02354i	1.75934	−	0.640349i	0.759396	−	0.650629i	$-0.225495\pi$
$157$	22.0445	−	8.02354i	1.75934	−	0.640349i	0.999947	+	0.0102800i	$0.00327229\pi$
$158$	12.3791	+	4.50562i	0.984828	+	0.358448i
$159$	−2.22944	+	3.86150i	−0.176806	+	0.306237i
$160$	−0.757418	+	1.31189i	−0.0598792	+	0.103714i
$161$	−1.06600	+	0.462125i	−0.0840124	+	0.0364205i
$162$	−0.939693	−	0.342020i	−0.0738292	−	0.0268716i
$163$	10.9256			0.855763			0.427881	−	0.903835i	$-0.359260\pi$
$163$	10.9256			0.855763			0.427881	+	0.903835i	$0.359260\pi$
$164$	−10.3958			−0.811776
$165$	4.99773	+	1.81902i	0.389073	+	0.141611i
$166$	1.78565	−	10.1269i	0.138593	−	0.786002i
$167$	14.9339	−	12.5311i	1.15562	−	0.969682i	0.155786	−	0.987791i	$-0.450209\pi$
$167$	14.9339	−	12.5311i	1.15562	−	0.969682i	0.999836	+	0.0181085i	$0.00576442\pi$
$168$	1.18312	−	2.36648i	0.0912793	−	0.182578i
$169$	6.38178	−	2.32278i	0.490906	−	0.178675i
$170$	3.03900	+	5.26371i	0.233081	+	0.403708i
$171$	3.14573	−	3.01735i	0.240560	−	0.230743i
$172$	−2.67041	+	4.62529i	−0.203617	+	0.352675i
$173$	−16.8080	−	14.1036i	−1.27789	−	1.07228i	−0.993531	−	0.113559i	$-0.963775\pi$
$173$	−16.8080	−	14.1036i	−1.27789	−	1.07228i	−0.284359	−	0.958718i	$-0.591781\pi$
$174$	−0.622191	+	3.52862i	−0.0471682	+	0.267504i
$175$	−6.56695	+	2.84686i	−0.496415	+	0.215203i
$176$	−2.68952	−	2.25678i	−0.202730	−	0.170111i
$177$	6.97909	−	5.85615i	0.524580	−	0.440175i
$178$	−6.28640			−0.471185
$179$	6.65011	+	11.5183i	0.497052	+	0.860920i	0.999994	−	0.00340032i	$-0.00108236\pi$
$179$	6.65011	+	11.5183i	0.497052	+	0.860920i	−0.502942	+	0.864320i	$0.667749\pi$
$180$	0.263049	+	1.49182i	0.0196065	+	0.111194i
$181$	12.7503	+	4.64073i	0.947721	+	0.344942i	0.769210	−	0.638996i	$-0.220650\pi$
$181$	12.7503	+	4.64073i	0.947721	+	0.344942i	0.178511	+	0.983938i	$0.442872\pi$
$182$	−1.53197	−	6.41199i	−0.113557	−	0.475288i
$183$	−5.15204	−	8.92360i	−0.380850	−	0.659652i
$184$	−0.336401	+	0.282274i	−0.0247998	+	0.0208095i
$185$	−2.15059	+	0.782750i	−0.158114	+	0.0575490i
$186$	0.631677	+	3.58242i	0.0463168	+	0.262676i
$187$	−13.2374	+	4.81802i	−0.968014	+	0.352328i
$188$	10.0430	−	3.65534i	0.732459	−	0.266593i
$189$	−0.614826	−	2.57332i	−0.0447220	−	0.187182i
$190$	−6.34105	−	1.84144i	−0.460028	−	0.133592i
$191$	−0.0386312	−	0.0669113i	−0.00279526	−	0.00484153i	0.864624	−	0.502419i	$-0.167556\pi$
$191$	−0.0386312	−	0.0669113i	−0.00279526	−	0.00484153i	−0.867420	+	0.497577i	$0.834223\pi$
$192$	0.173648	−	0.984808i	0.0125320	−	0.0710724i
$193$	−14.8244	−	12.4392i	−1.06708	−	0.895390i	−0.0722988	−	0.997383i	$-0.523034\pi$
$193$	−14.8244	−	12.4392i	−1.06708	−	0.895390i	−0.994785	+	0.101993i	$0.967478\pi$
$194$	7.99075	+	2.90840i	0.573703	+	0.208811i
$195$	2.89147	+	2.42623i	0.207062	+	0.173746i
$196$	6.94967	−	0.837897i	0.496405	−	0.0598498i
$197$	9.05536	+	15.6843i	0.645168	+	1.11746i	0.984263	+	0.176711i	$0.0565458\pi$
$197$	9.05536	+	15.6843i	0.645168	+	1.11746i	−0.339095	+	0.940752i	$0.610121\pi$
$198$	−3.51092			−0.249510
$199$	4.24003	−	3.55781i	0.300568	−	0.252206i	−0.480013	−	0.877262i	$-0.659368\pi$
$199$	4.24003	−	3.55781i	0.300568	−	0.252206i	0.780581	+	0.625055i	$0.214923\pi$
$200$	−2.07236	+	1.73892i	−0.146538	+	0.122960i
$201$	9.92002			0.699704
$202$	−0.140784	−	0.243846i	−0.00990555	−	0.0171569i
$203$	−8.69775	+	3.77059i	−0.610462	+	0.264644i
$204$	−3.07362	−	2.57907i	−0.215196	−	0.180571i
$205$	14.7982	+	5.38611i	1.03355	+	0.376183i
$206$	13.3890	+	11.2347i	0.932854	+	0.782757i
$207$	−0.0762560	+	0.432469i	−0.00530016	+	0.0300587i
$208$	−1.24586	−	2.15789i	−0.0863847	−	0.149623i
$209$	6.75509	−	13.7322i	0.467259	−	0.949877i
$210$	−2.91023	+	2.75566i	−0.200825	+	0.190159i
$211$	−11.0764	+	4.03149i	−0.762532	+	0.277539i	−0.693869	−	0.720101i	$-0.744096\pi$
$211$	−11.0764	+	4.03149i	−0.762532	+	0.277539i	−0.0686630	+	0.997640i	$0.521873\pi$
$212$	−4.18998	+	1.52503i	−0.287769	+	0.104739i
$213$	−2.39466	−	13.5808i	−0.164079	−	0.930539i
$214$	−2.93951	+	1.06989i	−0.200941	+	0.0731365i
$215$	6.19767	−	5.20046i	0.422677	−	0.354668i
$216$	−0.500000	−	0.866025i	−0.0340207	−	0.0589256i
$217$	−6.98853	+	6.61737i	−0.474413	+	0.449216i
$218$	−14.4913	−	5.27442i	−0.981478	−	0.357229i
$219$	0.500207	+	2.83682i	0.0338009	+	0.191694i
$220$	2.65924	+	4.60593i	0.179286	+	0.310532i
$221$	−9.99756			−0.672509
$222$	1.15734	−	0.971121i	0.0776754	−	0.0651774i
$223$	−9.58985	−	8.04684i	−0.642184	−	0.538856i	0.262504	−	0.964931i	$-0.415452\pi$
$223$	−9.58985	−	8.04684i	−0.642184	−	0.538856i	−0.904688	+	0.426074i	$0.859896\pi$
$224$	2.42746	−	1.05234i	0.162192	−	0.0703123i
$225$	−0.469765	+	2.66417i	−0.0313177	+	0.177612i
$226$	0.667666	+	0.560239i	0.0444125	+	0.0372665i
$227$	−9.46897	+	16.4007i	−0.628478	+	1.08856i	0.359379	+	0.933192i	$0.382988\pi$
$227$	−9.46897	+	16.4007i	−0.628478	+	1.08856i	−0.987857	+	0.155364i	$0.950345\pi$
$228$	4.34928	−	0.289391i	0.288038	−	0.0191654i
$229$	−3.58867	−	6.21576i	−0.237146	−	0.410749i	0.722748	−	0.691112i	$-0.242879\pi$
$229$	−3.58867	−	6.21576i	−0.237146	−	0.410749i	−0.959894	+	0.280362i	$0.909545\pi$
$230$	0.625108	−	0.227521i	0.0412184	−	0.0150023i
$231$	−5.11849	−	7.75159i	−0.336772	−	0.510017i
$232$	−2.74478	+	2.30315i	−0.180204	+	0.151209i
$233$	−3.30513	+	18.7443i	−0.216526	+	1.22798i	0.661712	+	0.749758i	$0.269830\pi$
$233$	−3.30513	+	18.7443i	−0.216526	+	1.22798i	−0.878238	+	0.478224i	$0.841281\pi$
$234$	−2.34145	−	0.852217i	−0.153065	−	0.0557112i
$235$	−16.1898			−1.05611
$236$	9.11055			0.593046
$237$	12.3791	+	4.50562i	0.804108	+	0.292672i
$238$	1.21325	−	10.5460i	0.0786431	−	0.683598i
$239$	3.06777	−	5.31353i	0.198437	−	0.343704i	−0.749585	−	0.661909i	$-0.769747\pi$
$239$	3.06777	−	5.31353i	0.198437	−	0.343704i	0.948022	+	0.318205i	$0.103080\pi$
$240$	−0.757418	+	1.31189i	−0.0488911	+	0.0846819i
$241$	3.77020	+	1.37224i	0.242860	+	0.0883937i	0.460582	−	0.887617i	$-0.347641\pi$
$241$	3.77020	+	1.37224i	0.242860	+	0.0883937i	−0.217723	+	0.976011i	$0.569863\pi$
$242$	−1.24657	+	0.453715i	−0.0801326	+	0.0291659i
$243$	−0.939693	−	0.342020i	−0.0602813	−	0.0219406i
$244$	1.78929	−	10.1475i	0.114547	−	0.649630i
$245$	−10.3268	−	2.40793i	−0.659757	−	0.153837i
$246$	−10.3958			−0.662813
$247$	7.83826	−	7.51838i	0.498736	−	0.478383i
$248$	−1.81884	+	3.15033i	−0.115497	+	0.200046i
$249$	1.78565	−	10.1269i	0.113161	−	0.641768i
$250$	10.9683	−	3.99214i	0.693696	−	0.252485i
$251$	−17.7094	+	14.8599i	−1.11781	+	0.937950i	−0.998492	−	0.0549061i	$-0.982514\pi$
$251$	−17.7094	+	14.8599i	−1.11781	+	0.937950i	−0.119314	+	0.992857i	$0.538070\pi$
$252$	1.18312	−	2.36648i	0.0745293	−	0.149074i
$253$	0.267729	+	1.51837i	0.0168320	+	0.0954588i
$254$	−1.93461	+	3.35084i	−0.121388	+	0.210250i
$255$	3.03900	+	5.26371i	0.190310	+	0.329626i
$256$	0.766044	−	0.642788i	0.0478778	−	0.0401742i
$257$	1.30376	+	7.39397i	0.0813261	+	0.461223i	0.998089	+	0.0617916i	$0.0196814\pi$
$257$	1.30376	+	7.39397i	0.0813261	+	0.461223i	−0.916763	+	0.399432i	$0.869207\pi$
$258$	−2.67041	+	4.62529i	−0.166253	+	0.287958i
$259$	3.83134	+	1.13945i	0.238068	+	0.0708021i
$260$	0.655442	+	3.71720i	0.0406488	+	0.230531i
$261$	−0.622191	+	3.52862i	−0.0385127	+	0.218416i
$262$	−1.14417	−	6.48892i	−0.0706872	−	0.400887i
$263$	9.01726	+	7.56638i	0.556028	+	0.466563i	0.876976	−	0.480534i	$-0.159557\pi$
$263$	9.01726	+	7.56638i	0.556028	+	0.466563i	−0.320948	+	0.947097i	$0.604002\pi$
$264$	−2.68952	−	2.25678i	−0.165529	−	0.138895i
$265$	6.75447			0.414924
$266$	6.97964	+	9.18066i	0.427949	+	0.562903i
$267$	−6.28640			−0.384721
$268$	7.59917	+	6.37646i	0.464193	+	0.389505i
$269$	−2.61226	−	2.19195i	−0.159273	−	0.133646i	0.559669	−	0.828717i	$-0.310928\pi$
$269$	−2.61226	−	2.19195i	−0.159273	−	0.133646i	−0.718941	+	0.695071i	$0.755373\pi$
$270$	0.263049	+	1.49182i	0.0160086	+	0.0907894i
$271$	1.00106	−	5.67729i	0.0608100	−	0.344871i	−0.939189	−	0.343401i	$-0.888421\pi$
$271$	1.00106	−	5.67729i	0.0608100	−	0.344871i	0.999999	−	0.00146981i	$-0.000467854\pi$
$272$	−0.696732	−	3.95136i	−0.0422456	−	0.239587i
$273$	−1.53197	−	6.41199i	−0.0927192	−	0.388071i
$274$	−6.72977	+	11.6563i	−0.406561	+	0.704183i
$275$	1.64931	+	9.35370i	0.0994571	+	0.564049i
$276$	−0.336401	+	0.282274i	−0.0202490	+	0.0169909i
$277$	−12.4825	−	21.6204i	−0.750003	−	1.29904i	−0.947820	−	0.318805i	$-0.896718\pi$
$277$	−12.4825	−	21.6204i	−0.750003	−	1.29904i	0.197817	−	0.980239i	$-0.436615\pi$
$278$	0.280072	−	0.485098i	0.0167976	−	0.0290943i
$279$	0.631677	+	3.58242i	0.0378175	+	0.214474i
$280$	−4.00067	+	0.240303i	−0.239086	+	0.0143609i
$281$	−5.93600	+	4.98089i	−0.354112	+	0.297135i	−0.802439	−	0.596735i	$-0.796465\pi$
$281$	−5.93600	+	4.98089i	−0.354112	+	0.297135i	0.448327	+	0.893870i	$0.352020\pi$
$282$	10.0430	−	3.65534i	0.598050	−	0.217673i
$283$	−0.650298	+	3.68802i	−0.0386562	+	0.219230i	−0.998016	−	0.0629541i	$-0.979948\pi$
$283$	−0.650298	+	3.68802i	−0.0386562	+	0.219230i	0.959360	+	0.282184i	$0.0910589\pi$
$284$	6.89514	−	11.9427i	0.409151	−	0.708671i
$285$	−6.34105	−	1.84144i	−0.375611	−	0.109077i
$286$	−8.74822			−0.517293
$287$	−15.1558	−	22.9524i	−0.894619	−	1.35484i
$288$	0.173648	−	0.984808i	0.0102323	−	0.0580304i
$289$	0.846936	+	0.308259i	0.0498197	+	0.0181329i
$290$	5.10041	−	1.85640i	0.299507	−	0.109011i
$291$	7.99075	+	2.90840i	0.468426	+	0.170493i
$292$	−1.44029	+	2.49465i	−0.0842866	+	0.145989i
$293$	6.17213	−	10.6904i	0.360580	−	0.624543i	−0.627477	−	0.778635i	$-0.715912\pi$
$293$	6.17213	−	10.6904i	0.360580	−	0.624543i	0.988056	+	0.154093i	$0.0492455\pi$
$294$	6.94967	−	0.837897i	0.405313	−	0.0488671i
$295$	−12.9687	−	4.72022i	−0.755066	−	0.274822i
$296$	1.51080			0.0878133
$297$	−3.51092			−0.203724
$298$	2.40321	+	0.874697i	0.139214	+	0.0506699i
$299$	−0.190008	+	1.07759i	−0.0109885	+	0.0623187i
$300$	−2.07236	+	1.73892i	−0.119648	+	0.100396i
$301$	−14.1051	+	0.847232i	−0.813003	+	0.0488336i
$302$	−2.59098	+	0.943041i	−0.149094	+	0.0542659i
$303$	−0.140784	−	0.243846i	−0.00808785	−	0.0140086i
$304$	3.51776	+	2.57398i	0.201757	+	0.147628i
$305$	−7.80450	+	13.5178i	−0.446885	+	0.774027i
$306$	−3.07362	−	2.57907i	−0.175707	−	0.147436i
$307$	4.46223	−	25.3066i	0.254673	−	1.44432i	−0.542237	−	0.840226i	$-0.682423\pi$
$307$	4.46223	−	25.3066i	0.254673	−	1.44432i	0.796910	−	0.604098i	$-0.206466\pi$
$308$	1.06163	−	9.22816i	0.0604922	−	0.525823i
$309$	13.3890	+	11.2347i	0.761672	+	0.639119i
$310$	4.22128	−	3.54208i	0.239753	−	0.201176i
$311$	−10.9698			−0.622039			−0.311020	−	0.950403i	$-0.600671\pi$
$311$	−10.9698			−0.622039			−0.311020	+	0.950403i	$0.600671\pi$
$312$	−1.24586	−	2.15789i	−0.0705328	−	0.122166i
$313$	−4.14858	−	23.5278i	−0.234492	−	1.32987i	−0.843681	−	0.536844i	$-0.819616\pi$
$313$	−4.14858	−	23.5278i	−0.234492	−	1.32987i	0.609189	−	0.793025i	$-0.291495\pi$
$314$	22.0445	+	8.02354i	1.24404	+	0.452795i
$315$	−2.91023	+	2.75566i	−0.163973	+	0.155264i
$316$	6.58678	+	11.4086i	0.370535	+	0.641786i
$317$	−10.4428	+	8.76258i	−0.586528	+	0.492155i	−0.887084	−	0.461609i	$-0.847272\pi$
$317$	−10.4428	+	8.76258i	−0.586528	+	0.492155i	0.300556	+	0.953764i	$0.402828\pi$
$318$	−4.18998	+	1.52503i	−0.234962	+	0.0855193i
$319$	2.18447	+	12.3887i	0.122307	+	0.693635i
$320$	−1.42348	+	0.518104i	−0.0795750	+	0.0289629i
$321$	−2.93951	+	1.06989i	−0.164068	+	0.0597157i
$322$	−1.11365	−	0.331203i	−0.0620613	−	0.0184572i
$323$	16.0012	−	7.05960i	0.890329	−	0.392807i
$324$	−0.500000	−	0.866025i	−0.0277778	−	0.0481125i
$325$	−1.17052	+	6.63836i	−0.0649289	+	0.368230i
$326$	8.36953	+	7.02287i	0.463546	+	0.388961i
$327$	−14.4913	−	5.27442i	−0.801373	−	0.291676i
$328$	−7.96365	−	6.68230i	−0.439719	−	0.368968i
$329$	22.7119	+	16.8443i	1.25215	+	0.928658i
$330$	2.65924	+	4.60593i	0.146386	+	0.253548i
$331$	16.6595			0.915688			0.457844	−	0.889033i	$-0.348622\pi$
$331$	16.6595			0.915688			0.457844	+	0.889033i	$0.348622\pi$
$332$	7.87735	−	6.60988i	0.432326	−	0.362764i
$333$	1.15734	−	0.971121i	0.0634217	−	0.0532171i
$334$	19.4949			1.06671
$335$	−7.51360	−	13.0139i	−0.410512	−	0.711027i
$336$	2.42746	−	1.05234i	0.132429	−	0.0574098i
$337$	22.2788	+	18.6941i	1.21360	+	1.01833i	0.999134	+	0.0416017i	$0.0132460\pi$
$337$	22.2788	+	18.6941i	1.21360	+	1.01833i	0.214467	+	0.976731i	$0.431198\pi$
$338$	6.38178	+	2.32278i	0.347123	+	0.126342i
$339$	0.667666	+	0.560239i	0.0362627	+	0.0304280i
$340$	−1.05543	+	5.98567i	−0.0572390	+	0.324618i
$341$	6.38581	+	11.0605i	0.345811	+	0.598962i
$342$	4.34928	−	0.289391i	0.235182	−	0.0156485i
$343$	11.9817	+	14.1223i	0.646951	+	0.762531i
$344$	−5.01874	+	1.82667i	−0.270592	+	0.0984875i
$345$	0.625108	−	0.227521i	0.0336547	−	0.0122493i
$346$	−3.81007	−	21.6080i	−0.204831	−	1.16165i
$347$	19.0684	−	6.94032i	1.02364	−	0.372576i	0.224986	−	0.974362i	$-0.427766\pi$
$347$	19.0684	−	6.94032i	1.02364	−	0.372576i	0.798657	+	0.601786i	$0.205544\pi$
$348$	−2.74478	+	2.30315i	−0.147136	+	0.123462i
$349$	7.96937	+	13.8034i	0.426591	+	0.738877i	0.996567	−	0.0827842i	$-0.0263812\pi$
$349$	7.96937	+	13.8034i	0.426591	+	0.738877i	−0.569977	+	0.821661i	$0.693048\pi$
$350$	−6.86050	−	2.04033i	−0.366709	−	0.109060i
$351$	−2.34145	−	0.852217i	−0.124977	−	0.0454880i
$352$	−0.609665	−	3.45758i	−0.0324953	−	0.184290i
$353$	9.41735	+	16.3113i	0.501235	+	0.868164i	0.999999	+	0.00142652i	$0.000454075\pi$
$353$	9.41735	+	16.3113i	0.501235	+	0.868164i	−0.498764	+	0.866738i	$0.666213\pi$
$354$	9.11055			0.484220
$355$	−16.0027	+	13.4278i	−0.849334	+	0.712676i
$356$	−4.81566	−	4.04082i	−0.255229	−	0.214163i
$357$	1.21325	−	10.5460i	0.0642118	−	0.558156i
$358$	−2.30956	+	13.0982i	−0.122064	+	0.692259i
$359$	−10.4478	−	8.76675i	−0.551414	−	0.462691i	0.324006	−	0.946055i	$-0.394970\pi$
$359$	−10.4478	−	8.76675i	−0.551414	−	0.462691i	−0.875420	+	0.483364i	$0.839415\pi$
$360$	−0.757418	+	1.31189i	−0.0399194	+	0.0691425i
$361$	−7.23622	+	17.5681i	−0.380854	+	0.924635i
$362$	6.78429	+	11.7507i	0.356574	+	0.617605i
$363$	−1.24657	+	0.453715i	−0.0654280	+	0.0238138i
$364$	2.94799	−	5.89660i	0.154517	−	0.309066i
$365$	3.34271	−	2.80487i	0.174966	−	0.146814i
$366$	1.78929	−	10.1475i	0.0935275	−	0.530421i
$367$	1.01632	+	0.369911i	0.0530516	+	0.0193092i	0.368410	−	0.929664i	$-0.379902\pi$
$367$	1.01632	+	0.369911i	0.0530516	+	0.0193092i	−0.315358	+	0.948973i	$0.602125\pi$
$368$	−0.439141			−0.0228918
$369$	−10.3958			−0.541184
$370$	−2.15059	−	0.782750i	−0.111804	−	0.0406933i
$371$	−9.47550	−	7.02754i	−0.491943	−	0.364852i
$372$	−1.81884	+	3.15033i	−0.0943026	+	0.163337i
$373$	−14.0357	+	24.3106i	−0.726742	+	1.25875i	0.231511	+	0.972832i	$0.425633\pi$
$373$	−14.0357	+	24.3106i	−0.726742	+	1.25875i	−0.958253	+	0.285922i	$0.907700\pi$
$374$	−13.2374	−	4.81802i	−0.684489	−	0.249134i
$375$	10.9683	−	3.99214i	0.566401	−	0.206153i
$376$	10.0430	+	3.65534i	0.517927	+	0.188510i
$377$	−1.55033	+	8.79233i	−0.0798458	+	0.452828i
$378$	1.18312	−	2.36648i	0.0608529	−	0.121719i
$379$	−36.2641			−1.86276			−0.931382	−	0.364044i	$-0.881396\pi$
$379$	−36.2641			−1.86276			−0.931382	+	0.364044i	$0.881396\pi$
$380$	−3.67387	−	5.48657i	−0.188466	−	0.281455i
$381$	−1.93461	+	3.35084i	−0.0991129	+	0.171669i
$382$	0.0134165	−	0.0760887i	0.000686447	−	0.00389304i
$383$	−33.3694	+	12.1455i	−1.70510	+	0.620604i	−0.996389	−	0.0848999i	$-0.972943\pi$
$383$	−33.3694	+	12.1455i	−1.70510	+	0.620604i	−0.708706	+	0.705504i	$0.750721\pi$
$384$	0.766044	−	0.642788i	0.0390920	−	0.0328021i
$385$	−6.29237	+	12.5861i	−0.320689	+	0.641445i
$386$	−3.36042	−	19.0579i	−0.171041	−	0.970021i
$387$	−2.67041	+	4.62529i	−0.135745	+	0.235117i
$388$	4.25179	+	7.36432i	0.215852	+	0.373867i
$389$	12.6243	−	10.5930i	0.640076	−	0.537088i	−0.263965	−	0.964532i	$-0.585030\pi$
$389$	12.6243	−	10.5930i	0.640076	−	0.537088i	0.904042	+	0.427444i	$0.140586\pi$
$390$	0.655442	+	3.71720i	0.0331896	+	0.188228i
$391$	−0.880986	+	1.52591i	−0.0445534	+	0.0771688i
$392$	5.86235	+	3.82530i	0.296093	+	0.193207i
$393$	−1.14417	−	6.48892i	−0.0577159	−	0.327323i
$394$	−3.14489	+	17.8356i	−0.158437	+	0.898543i
$395$	−3.46528	−	19.6526i	−0.174357	−	0.988830i
$396$	−2.68952	−	2.25678i	−0.135154	−	0.113407i
$397$	−1.06364	−	0.892502i	−0.0533827	−	0.0447934i	0.615706	−	0.787976i	$-0.288871\pi$
$397$	−1.06364	−	0.892502i	−0.0533827	−	0.0447934i	−0.669089	+	0.743183i	$0.733315\pi$
$398$	5.53497			0.277443
$399$	6.97964	+	9.18066i	0.349419	+	0.459608i
$400$	−2.70527			−0.135264
$401$	−15.6775	−	13.1550i	−0.782895	−	0.656927i	0.161081	−	0.986941i	$-0.448502\pi$
$401$	−15.6775	−	13.1550i	−0.782895	−	0.656927i	−0.943976	+	0.330014i	$0.892946\pi$
$402$	7.59917	+	6.37646i	0.379012	+	0.318029i
$403$	1.57396	+	8.92637i	0.0784046	+	0.444654i
$404$	0.0488939	−	0.277291i	0.00243256	−	0.0137957i
$405$	0.263049	+	1.49182i	0.0130710	+	0.0741292i
$406$	−9.08655	−	2.70236i	−0.450958	−	0.134116i
$407$	2.65214	−	4.59365i	0.131462	−	0.227699i
$408$	−0.696732	−	3.95136i	−0.0344934	−	0.195622i
$409$	−13.5557	+	11.3746i	−0.670287	+	0.562437i	−0.913150	−	0.407623i	$-0.866358\pi$
$409$	−13.5557	+	11.3746i	−0.670287	+	0.562437i	0.242864	+	0.970060i	$0.421913\pi$
$410$	7.87397	+	13.6381i	0.388868	+	0.673539i
$411$	−6.72977	+	11.6563i	−0.331955	+	0.574963i
$412$	3.03503	+	17.2125i	0.149525	+	0.848001i
$413$	13.2821	+	20.1147i	0.653567	+	0.989781i
$414$	−0.336401	+	0.282274i	−0.0165332	+	0.0138730i
$415$	−14.6379	+	5.32774i	−0.718544	+	0.261529i
$416$	0.432682	−	2.45386i	0.0212140	−	0.120310i
$417$	0.280072	−	0.485098i	0.0137152	−	0.0237554i
$418$	14.0016	−	6.17740i	0.684840	−	0.302146i
$419$	4.96666			0.242637			0.121318	−	0.992614i	$-0.461288\pi$
$419$	4.96666			0.242637			0.121318	+	0.992614i	$0.461288\pi$
$420$	−4.00067	+	0.240303i	−0.195213	+	0.0117256i
$421$	2.75593	−	15.6297i	0.134316	−	0.761744i	−0.841018	−	0.541008i	$-0.818043\pi$
$421$	2.75593	−	15.6297i	0.134316	−	0.761744i	0.975334	−	0.220736i	$-0.0708459\pi$
$422$	−11.0764	−	4.03149i	−0.539192	−	0.196250i
$423$	10.0430	−	3.65534i	0.488306	−	0.177729i
$424$	−4.18998	−	1.52503i	−0.203483	−	0.0740619i
$425$	−5.42721	+	9.40020i	−0.263258	+	0.455977i
$426$	6.89514	−	11.9427i	0.334071	−	0.578627i
$427$	25.0128	−	10.8434i	1.21045	−	0.524748i
$428$	−2.93951	−	1.06989i	−0.142087	−	0.0517153i
$429$	−8.74822			−0.422368
$430$	8.09048			0.390158
$431$	−11.1694	−	4.06532i	−0.538009	−	0.195819i	0.0587017	−	0.998276i	$-0.481304\pi$
$431$	−11.1694	−	4.06532i	−0.538009	−	0.195819i	−0.596711	+	0.802456i	$0.703526\pi$
$432$	0.173648	−	0.984808i	0.00835465	−	0.0473816i
$433$	−3.19613	+	2.68187i	−0.153596	+	0.128883i	−0.716347	−	0.697744i	$-0.754187\pi$
$433$	−3.19613	+	2.68187i	−0.153596	+	0.128883i	0.562751	+	0.826626i	$0.309743\pi$
$434$	−9.60709	+	0.577057i	−0.461155	+	0.0276996i
$435$	5.10041	−	1.85640i	0.244546	−	0.0890075i
$436$	−7.71069	−	13.3553i	−0.369275	−	0.639603i
$437$	−0.456811	−	1.85886i	−0.0218523	−	0.0889215i
$438$	−1.44029	+	2.49465i	−0.0688197	+	0.119199i
$439$	−20.6204	−	17.3026i	−0.984158	−	0.825807i	0.000553173	−	1.00000i	$-0.499824\pi$
$439$	−20.6204	−	17.3026i	−0.984158	−	0.825807i	−0.984712	+	0.174193i	$0.944268\pi$
$440$	−0.923543	+	5.23767i	−0.0440282	+	0.249696i
$441$	6.94967	−	0.837897i	0.330937	−	0.0398999i
$442$	−7.65858	−	6.42631i	−0.364281	−	0.305668i
$443$	−13.0320	+	10.9352i	−0.619170	+	0.519546i	−0.897543	−	0.440928i	$-0.854650\pi$
$443$	−13.0320	+	10.9352i	−0.619170	+	0.519546i	0.278372	+	0.960473i	$0.410205\pi$
$444$	1.51080			0.0716992
$445$	4.76143	+	8.24704i	0.225713	+	0.390947i
$446$	−2.17384	−	12.3285i	−0.102934	−	0.583770i
$447$	2.40321	+	0.874697i	0.113668	+	0.0413718i
$448$	2.53598	+	0.754206i	0.119814	+	0.0356329i
$449$	2.67690	+	4.63653i	0.126331	+	0.218811i	0.922252	−	0.386588i	$-0.126347\pi$
$449$	2.67690	+	4.63653i	0.126331	+	0.218811i	−0.795922	+	0.605400i	$0.793013\pi$
$450$	−2.07236	+	1.73892i	−0.0976919	+	0.0819732i
$451$	−34.2977	+	12.4834i	−1.61502	+	0.587818i
$452$	0.151348	+	0.858335i	0.00711880	+	0.0403727i
$453$	−2.59098	+	0.943041i	−0.121735	+	0.0443079i
$454$	−17.7959	+	6.47716i	−0.835201	+	0.303988i
$455$	−7.25146	+	6.86633i	−0.339954	+	0.321899i
$456$	3.51776	+	2.57398i	0.164734	+	0.120538i
$457$	11.4474	+	19.8275i	0.535486	+	0.927490i	0.999140	+	0.0414729i	$0.0132050\pi$
$457$	11.4474	+	19.8275i	0.535486	+	0.927490i	−0.463653	+	0.886017i	$0.653462\pi$
$458$	1.24633	−	7.06830i	0.0582373	−	0.330280i
$459$	−3.07362	−	2.57907i	−0.143464	−	0.120381i
$460$	0.625108	+	0.227521i	0.0291458	+	0.0106082i
$461$	−17.5387	−	14.7167i	−0.816858	−	0.685425i	0.135376	−	0.990794i	$-0.456776\pi$
$461$	−17.5387	−	14.7167i	−0.816858	−	0.685425i	−0.952234	+	0.305369i	$0.901220\pi$
$462$	1.06163	−	9.22816i	0.0493917	−	0.429333i
$463$	12.3811	+	21.4447i	0.575398	+	0.996618i	0.995998	+	0.0893724i	$0.0284861\pi$
$463$	12.3811	+	21.4447i	0.575398	+	0.996618i	−0.420600	+	0.907246i	$0.638181\pi$
$464$	−3.58306			−0.166339
$465$	4.22128	−	3.54208i	0.195757	−	0.164260i
$466$	−14.5805	+	12.2345i	−0.675429	+	0.566752i
$467$	−24.9011			−1.15228			−0.576142	−	0.817349i	$-0.695443\pi$
$467$	−24.9011			−1.15228			−0.576142	+	0.817349i	$0.695443\pi$
$468$	−1.24586	−	2.15789i	−0.0575898	−	0.0997485i
$469$	−2.99962	+	26.0739i	−0.138509	+	1.20398i
$470$	−12.4021	−	10.4066i	−0.572067	−	0.480022i
$471$	22.0445	+	8.02354i	1.01576	+	0.369705i
$472$	6.97909	+	5.85615i	0.321239	+	0.269551i
$473$	−3.25612	+	18.4664i	−0.149716	+	0.849084i
$474$	6.58678	+	11.4086i	0.302541	+	0.524016i
$475$	−2.81413	−	11.4513i	−0.129121	−	0.525421i
$476$	7.70827	−	7.29888i	0.353308	−	0.334543i
$477$	−4.18998	+	1.52503i	−0.191846	+	0.0698262i
$478$	5.76552	−	2.09848i	0.263709	−	0.0959821i
$479$	0.606192	+	3.43789i	0.0276976	+	0.157081i	0.995520	−	0.0945545i	$-0.0301427\pi$
$479$	0.606192	+	3.43789i	0.0276976	+	0.157081i	−0.967822	+	0.251636i	$0.919032\pi$
$480$	−1.42348	+	0.518104i	−0.0649727	+	0.0236481i
$481$	2.88376	−	2.41976i	0.131488	−	0.110332i
$482$	2.00608	+	3.47463i	0.0913744	+	0.158265i
$483$	−1.11365	−	0.331203i	−0.0506728	−	0.0150702i
$484$	−1.24657	−	0.453715i	−0.0566623	−	0.0206234i
$485$	−2.23685	−	12.6858i	−0.101570	−	0.576034i
$486$	−0.500000	−	0.866025i	−0.0226805	−	0.0392837i
$487$	−19.5612			−0.886404			−0.443202	−	0.896422i	$-0.646158\pi$
$487$	−19.5612			−0.886404			−0.443202	+	0.896422i	$0.646158\pi$
$488$	7.89339	−	6.62334i	0.357317	−	0.299825i
$489$	8.36953	+	7.02287i	0.378483	+	0.317585i
$490$	−6.36303	−	8.48254i	−0.287452	−	0.383202i
$491$	−1.92192	+	10.8997i	−0.0867348	+	0.491898i	0.910234	+	0.414095i	$0.135902\pi$
$491$	−1.92192	+	10.8997i	−0.0867348	+	0.491898i	−0.996969	+	0.0778032i	$0.975209\pi$
$492$	−7.96365	−	6.68230i	−0.359029	−	0.301261i
$493$	−7.18819	+	12.4503i	−0.323740	+	0.560734i
$494$	10.8372	−	0.721080i	0.487588	−	0.0324429i
$495$	2.65924	+	4.60593i	0.119524	+	0.207021i
$496$	−3.41830	+	1.24416i	−0.153486	+	0.0558645i
$497$	36.4200	−	2.18759i	1.63366	−	0.0981270i
$498$	7.87735	−	6.60988i	0.352992	−	0.296196i
$499$	3.64992	−	20.6997i	0.163393	−	0.926648i	−0.787313	−	0.616554i	$-0.788528\pi$
$499$	3.64992	−	20.6997i	0.163393	−	0.926648i	0.950706	−	0.310094i	$-0.100361\pi$
$500$	10.9683	+	3.99214i	0.490517	+	0.178534i
$501$	19.4949			0.870966
$502$	−23.1179			−1.03180
$503$	34.8180	+	12.6727i	1.55246	+	0.565049i	0.968993	−	0.247089i	$-0.0794741\pi$
$503$	34.8180	+	12.6727i	1.55246	+	0.565049i	0.583465	+	0.812138i	$0.301696\pi$
$504$	2.42746	−	1.05234i	0.108128	−	0.0468749i
$505$	−0.213265	+	0.369386i	−0.00949018	+	0.0164375i
$506$	−0.770894	+	1.33523i	−0.0342704	+	0.0593581i
$507$	6.38178	+	2.32278i	0.283425	+	0.103158i
$508$	−3.63587	+	1.32335i	−0.161316	+	0.0587141i
$509$	16.0775	+	5.85171i	0.712621	+	0.259373i	0.672790	−	0.739834i	$-0.265096\pi$
$509$	16.0775	+	5.85171i	0.712621	+	0.259373i	0.0398308	+	0.999206i	$0.487318\pi$
$510$	−1.05543	+	5.98567i	−0.0467354	+	0.265050i
$511$	−7.60758	+	0.456955i	−0.336540	+	0.0202145i
$512$	1.00000			0.0441942
$513$	4.34928	−	0.289391i	0.192025	−	0.0127769i
$514$	−3.75402	+	6.50215i	−0.165583	+	0.286798i
$515$	4.59758	−	26.0742i	0.202594	−	1.14896i
$516$	−5.01874	+	1.82667i	−0.220938	+	0.0804147i
$517$	28.7443	−	24.1193i	1.26417	−	1.06077i
$518$	2.20255	+	3.33561i	0.0967747	+	0.146558i
$519$	−3.81007	−	21.6080i	−0.167243	−	0.948485i
$520$	−1.88727	+	3.26885i	−0.0827623	+	0.143349i
$521$	10.2900	+	17.8228i	0.450813	+	0.780831i	0.998437	−	0.0558935i	$-0.0178007\pi$
$521$	10.2900	+	17.8228i	0.450813	+	0.780831i	−0.547624	+	0.836725i	$0.684467\pi$
$522$	−2.74478	+	2.30315i	−0.120136	+	0.100806i
$523$	−0.586966	−	3.32885i	−0.0256662	−	0.145561i	0.969282	−	0.245954i	$-0.0791011\pi$
$523$	−0.586966	−	3.32885i	−0.0256662	−	0.145561i	−0.994948	+	0.100393i	$0.967990\pi$
$524$	3.29451	−	5.70626i	0.143921	−	0.249279i
$525$	−6.86050	−	2.04033i	−0.299417	−	0.0890474i
$526$	2.04405	+	11.5924i	0.0891246	+	0.505451i
$527$	−2.53449	+	14.3738i	−0.110404	+	0.626133i
$528$	−0.609665	−	3.45758i	−0.0265323	−	0.150472i
$529$	−17.4713	−	14.6602i	−0.759622	−	0.637398i
$530$	5.17423	+	4.34169i	0.224754	+	0.188591i
$531$	9.11055			0.395364
$532$	−0.554498	+	11.5192i	−0.0240405	+	0.499422i
$533$	−25.9034			−1.12200
$534$	−4.81566	−	4.04082i	−0.208394	−	0.174863i
$535$	3.63002	+	3.04595i	0.156939	+	0.131688i
$536$	1.72259	+	9.76931i	0.0744047	+	0.421970i
$537$	−2.30956	+	13.0982i	−0.0996648	+	0.565227i
$538$	−0.592152	−	3.35826i	−0.0255295	−	0.144785i
$539$	21.9221	−	11.1096i	0.944252	−	0.478524i
$540$	−0.757418	+	1.31189i	−0.0325941	+	0.0564546i
$541$	−5.94573	−	33.7199i	−0.255627	−	1.44973i	−0.794459	−	0.607318i	$-0.792245\pi$
$541$	−5.94573	−	33.7199i	−0.255627	−	1.44973i	0.538832	−	0.842413i	$-0.318866\pi$
$542$	4.41615	−	3.70559i	0.189690	−	0.159169i
$543$	6.78429	+	11.7507i	0.291142	+	0.504272i
$544$	2.00616	−	3.47477i	0.0860134	−	0.148980i
$545$	4.05657	+	23.0059i	0.173764	+	0.985466i
$546$	2.94799	−	5.89660i	0.126162	−	0.252351i
$547$	−11.3300	+	9.50696i	−0.484434	+	0.406488i	−0.852027	−	0.523499i	$-0.824627\pi$
$547$	−11.3300	+	9.50696i	−0.484434	+	0.406488i	0.367593	+	0.929987i	$0.380182\pi$
$548$	−12.6478	+	4.60344i	−0.540289	+	0.196649i
$549$	1.78929	−	10.1475i	0.0763649	−	0.433087i
$550$	−4.74900	+	8.22551i	−0.202498	+	0.350737i
$551$	−3.72724	−	15.1669i	−0.158786	−	0.646133i
$552$	−0.439141			−0.0186911
$553$	−15.5858	+	31.1750i	−0.662777	+	1.32569i
$554$	4.33514	−	24.5858i	0.184183	−	1.04455i
$555$	−2.15059	−	0.782750i	−0.0912874	−	0.0332259i
$556$	0.526362	−	0.191580i	0.0223227	−	0.00812481i
$557$	27.1671	+	9.88801i	1.15111	+	0.418968i	0.845912	−	0.533322i	$-0.179057\pi$
$557$	27.1671	+	9.88801i	1.15111	+	0.418968i	0.305194	+	0.952290i	$0.401279\pi$
$558$	−1.81884	+	3.15033i	−0.0769977	+	0.133364i
$559$	−6.65392	+	11.5249i	−0.281431	+	0.487452i
$560$	−3.21915	−	2.38750i	−0.136034	−	0.100890i
$561$	−13.2374	−	4.81802i	−0.558883	−	0.203417i
$562$	−7.74889			−0.326867
$563$	−25.4319			−1.07183			−0.535914	−	0.844273i	$-0.680033\pi$
$563$	−25.4319			−1.07183			−0.535914	+	0.844273i	$0.680033\pi$
$564$	10.0430	+	3.65534i	0.422885	+	0.153918i
$565$	0.229267	−	1.30024i	0.00964533	−	0.0547014i
$566$	−2.86877	+	2.40719i	−0.120583	+	0.101182i
$567$	1.18312	−	2.36648i	0.0496862	−	0.0993829i
$568$	12.9586	−	4.71655i	0.543732	−	0.197902i
$569$	−11.1291	−	19.2762i	−0.466558	−	0.808102i	0.532712	−	0.846296i	$-0.321173\pi$
$569$	−11.1291	−	19.2762i	−0.466558	−	0.808102i	−0.999270	+	0.0381944i	$0.987839\pi$
$570$	−3.67387	−	5.48657i	−0.153882	−	0.229807i
$571$	−12.8868	+	22.3206i	−0.539297	+	0.934090i	0.459645	+	0.888103i	$0.347977\pi$
$571$	−12.8868	+	22.3206i	−0.539297	+	0.934090i	−0.998942	+	0.0459872i	$0.985357\pi$
$572$	−6.70153	−	5.62325i	−0.280205	−	0.235120i
$573$	0.0134165	−	0.0760887i	0.000560482	−	0.00317865i
$574$	3.14349	−	27.3245i	0.131207	−	1.14050i
$575$	0.910057	+	0.763628i	0.0379520	+	0.0318455i
$576$	0.766044	−	0.642788i	0.0319185	−	0.0267828i
$577$	1.02763			0.0427806			0.0213903	−	0.999771i	$-0.493191\pi$
$577$	1.02763			0.0427806			0.0213903	+	0.999771i	$0.493191\pi$
$578$	0.450645	+	0.780540i	0.0187444	+	0.0324662i
$579$	−3.36042	−	19.0579i	−0.139654	−	0.792019i
$580$	5.10041	+	1.85640i	0.211783	+	0.0770827i
$581$	26.0778	+	7.75561i	1.08189	+	0.321757i
$582$	4.25179	+	7.36432i	0.176242	+	0.305261i
$583$	−11.9923	+	10.0627i	−0.496669	+	0.416754i
$584$	−2.70686	+	0.985216i	−0.112011	+	0.0407685i
$585$	0.655442	+	3.71720i	0.0270992	+	0.153687i
$586$	11.5998	−	4.22199i	0.479184	−	0.174409i
$587$	5.36385	−	1.95228i	0.221390	−	0.0805793i	−0.228944	−	0.973440i	$-0.573527\pi$
$587$	5.36385	−	1.95228i	0.221390	−	0.0805793i	0.450334	+	0.892860i	$0.351305\pi$
$588$	5.86235	+	3.82530i	0.241759	+	0.157753i
$589$	−8.82233	−	13.1753i	−0.363518	−	0.542879i
$590$	−6.90050	−	11.9520i	−0.284089	−	0.492056i
$591$	−3.14489	+	17.8356i	−0.129364	+	0.733657i
$592$	1.15734	+	0.971121i	0.0475663	+	0.0399128i
$593$	−9.90988	−	3.60690i	−0.406950	−	0.148118i	0.130431	−	0.991457i	$-0.458364\pi$
$593$	−9.90988	−	3.60690i	−0.406950	−	0.148118i	−0.537381	+	0.843340i	$0.680586\pi$
$594$	−2.68952	−	2.25678i	−0.110352	−	0.0925967i
$595$	−14.7541	+	6.39612i	−0.604861	+	0.262215i
$596$	1.27872	+	2.21481i	0.0523785	+	0.0907222i
$597$	5.53497			0.226531
$598$	−0.838217	+	0.703347i	−0.0342772	+	0.0287620i
$599$	21.9418	−	18.4113i	0.896517	−	0.752267i	−0.0729897	−	0.997333i	$-0.523254\pi$
$599$	21.9418	−	18.4113i	0.896517	−	0.752267i	0.969506	+	0.245066i	$0.0788096\pi$
$600$	−2.70527			−0.110442
$601$	8.76610	+	15.1833i	0.357577	+	0.619341i	0.987555	−	0.157271i	$-0.0502698\pi$
$601$	8.76610	+	15.1833i	0.357577	+	0.619341i	−0.629979	+	0.776612i	$0.716936\pi$
$602$	−11.3497	−	8.41755i	−0.462580	−	0.343074i
$603$	7.59917	+	6.37646i	0.309462	+	0.259670i
$604$	−2.59098	−	0.943041i	−0.105426	−	0.0383718i
$605$	1.53940	+	1.29171i	0.0625854	+	0.0525154i
$606$	0.0488939	−	0.277291i	0.00198618	−	0.0112642i
$607$	−0.0807775	−	0.139911i	−0.00327866	−	0.00567880i	0.864381	−	0.502837i	$-0.167710\pi$
$607$	−0.0807775	−	0.139911i	−0.00327866	−	0.00567880i	−0.867660	+	0.497158i	$0.834377\pi$
$608$	1.04024	+	4.23295i	0.0421873	+	0.171669i
$609$	−9.08655	−	2.70236i	−0.368206	−	0.109505i
$610$	−14.6677	+	5.33859i	−0.593876	+	0.216153i
$611$	25.0242	−	9.10808i	1.01237	−	0.368474i
$612$	−0.696732	−	3.95136i	−0.0281637	−	0.159724i
$613$	15.8365	−	5.76401i	0.639630	−	0.232806i	−0.00178745	−	0.999998i	$-0.500569\pi$
$613$	15.8365	−	5.76401i	0.639630	−	0.232806i	0.641417	+	0.767192i	$0.278347\pi$
$614$	19.6850	−	16.5177i	0.794423	−	0.666600i
$615$	7.87397	+	13.6381i	0.317509	+	0.549942i
$616$	6.74501	−	6.38678i	0.271764	−	0.257331i
$617$	2.13593	+	0.777416i	0.0859895	+	0.0312976i	0.384657	−	0.923060i	$-0.374320\pi$
$617$	2.13593	+	0.777416i	0.0859895	+	0.0312976i	−0.298667	+	0.954357i	$0.596542\pi$
$618$	3.03503	+	17.2125i	0.122087	+	0.692390i
$619$	20.8175	+	36.0569i	0.836725	+	1.44925i	0.892618	+	0.450814i	$0.148866\pi$
$619$	20.8175	+	36.0569i	0.836725	+	1.44925i	−0.0558928	+	0.998437i	$0.517801\pi$
$620$	5.51049			0.221307
$621$	−0.336401	+	0.282274i	−0.0134993	+	0.0113273i
$622$	−8.40334	−	7.05124i	−0.336943	−	0.282729i
$623$	1.90088	−	16.5233i	0.0761573	−	0.661991i
$624$	0.432682	−	2.45386i	0.0173211	−	0.0982331i
$625$	−3.18303	−	2.67088i	−0.127321	−	0.106835i
$626$	11.9454	−	20.6900i	0.477433	−	0.826938i
$627$	14.0016	−	6.17740i	0.559170	−	0.246702i
$628$	11.7296	+	20.3163i	0.468063	+	0.810710i
$629$	5.69623	−	2.07326i	0.227123	−	0.0826662i
$630$	−4.00067	+	0.240303i	−0.159390	+	0.00957390i
$631$	1.39078	−	1.16700i	0.0553660	−	0.0464576i	−0.614685	−	0.788773i	$-0.710717\pi$
$631$	1.39078	−	1.16700i	0.0553660	−	0.0464576i	0.670051	+	0.742315i	$0.266272\pi$
$632$	−2.28756	+	12.9734i	−0.0909944	+	0.516055i
$633$	−11.0764	−	4.03149i	−0.440248	−	0.160237i
$634$	−13.6322			−0.541402
$635$	5.86123			0.232596
$636$	−4.18998	−	1.52503i	−0.166143	−	0.0604713i
$637$	17.3166	−	2.08780i	0.686109	−	0.0827217i
$638$	−6.28992	+	10.8945i	−0.249020	+	0.431316i
$639$	6.89514	−	11.9427i	0.272767	−	0.472447i
$640$	−1.42348	−	0.518104i	−0.0562680	−	0.0204799i
$641$	−13.7129	+	4.99110i	−0.541628	+	0.197136i	−0.598323	−	0.801255i	$-0.704166\pi$
$641$	−13.7129	+	4.99110i	−0.541628	+	0.197136i	0.0566950	+	0.998392i	$0.481944\pi$
$642$	−2.93951	−	1.06989i	−0.116013	−	0.0422254i
$643$	1.14232	−	6.47843i	0.0450488	−	0.255484i	−0.953963	−	0.299923i	$-0.903039\pi$
$643$	1.14232	−	6.47843i	0.0450488	−	0.255484i	0.999012	+	0.0444390i	$0.0141500\pi$
$644$	−0.640213	−	0.969556i	−0.0252279	−	0.0382059i
$645$	8.09048			0.318562
$646$	16.7954	+	4.87739i	0.660807	+	0.191898i
$647$	8.40532	−	14.5584i	0.330447	−	0.572351i	−0.652152	−	0.758088i	$-0.726134\pi$
$647$	8.40532	−	14.5584i	0.330447	−	0.572351i	0.982600	+	0.185736i	$0.0594671\pi$
$648$	0.173648	−	0.984808i	0.00682154	−	0.0386869i
$649$	30.0574	−	10.9400i	1.17986	−	0.429433i
$650$	−5.16373	+	4.33288i	−0.202538	+	0.169950i
$651$	−9.60709	+	0.577057i	−0.376532	+	0.0226166i
$652$	1.89722	+	10.7597i	0.0743008	+	0.421381i
$653$	8.80477	−	15.2503i	0.344557	−	0.596791i	−0.640716	−	0.767778i	$-0.721362\pi$
$653$	8.80477	−	15.2503i	0.344557	−	0.596791i	0.985273	+	0.170987i	$0.0546957\pi$
$654$	−7.71069	−	13.3553i	−0.301512	−	0.522233i
$655$	−7.64611	+	6.41585i	−0.298758	+	0.250688i
$656$	−1.80521	−	10.2379i	−0.0704817	−	0.399722i
$657$	−1.44029	+	2.49465i	−0.0561910	+	0.0973257i
$658$	6.57096	+	27.5024i	0.256163	+	1.07216i
$659$	−7.36115	−	41.7472i	−0.286750	−	1.62624i	−0.698967	−	0.715154i	$-0.746357\pi$
$659$	−7.36115	−	41.7472i	−0.286750	−	1.62624i	0.412217	−	0.911086i	$-0.364754\pi$
$660$	−0.923543	+	5.23767i	−0.0359489	+	0.203876i
$661$	5.06255	+	28.7112i	0.196911	+	1.11674i	0.909672	+	0.415328i	$0.136333\pi$
$661$	5.06255	+	28.7112i	0.196911	+	1.11674i	−0.712761	+	0.701407i	$0.752556\pi$
$662$	12.7619	+	10.7085i	0.496005	+	0.416198i
$663$	−7.65858	−	6.42631i	−0.297435	−	0.249577i
$664$	10.2831			0.399064
$665$	6.75748	−	16.1101i	0.262044	−	0.624723i
$666$	1.51080			0.0585422
$667$	1.20535	+	1.01140i	0.0466712	+	0.0391618i
$668$	14.9339	+	12.5311i	0.577811	+	0.484841i
$669$	−2.17384	−	12.3285i	−0.0840456	−	0.476647i
$670$	2.60945	−	14.7989i	0.100812	−	0.571731i
$671$	−6.28204	−	35.6272i	−0.242516	−	1.37537i
$672$	2.53598	+	0.754206i	0.0978274	+	0.0290941i
$673$	4.26772	−	7.39191i	0.164509	−	0.284937i	−0.771972	−	0.635656i	$-0.780730\pi$
$673$	4.26772	−	7.39191i	0.164509	−	0.284937i	0.936481	+	0.350719i	$0.114063\pi$
$674$	5.05019	+	28.6410i	0.194526	+	1.10321i
$675$	−2.07236	+	1.73892i	−0.0797651	+	0.0669309i
$676$	3.39567	+	5.88148i	0.130603	+	0.226211i
$677$	13.7579	−	23.8293i	0.528757	−	0.915835i	−0.470680	−	0.882304i	$-0.655991\pi$
$677$	13.7579	−	23.8293i	0.528757	−	0.915835i	0.999438	−	0.0335309i	$-0.0106752\pi$
$678$	0.151348	+	0.858335i	0.00581247	+	0.0329642i
$679$	−10.0607	+	20.1236i	−0.386095	+	0.772272i
$680$	−4.65602	+	3.90687i	−0.178550	+	0.149822i
$681$	−17.7959	+	6.47716i	−0.681938	+	0.248205i
$682$	−2.21777	+	12.5776i	−0.0849228	+	0.481621i
$683$	23.0156	−	39.8642i	0.880667	−	1.52536i	0.0300667	−	0.999548i	$-0.490428\pi$
$683$	23.0156	−	39.8642i	0.880667	−	1.52536i	0.850601	−	0.525812i	$-0.176239\pi$
$684$	3.51776	+	2.57398i	0.134505	+	0.0984185i
$685$	20.3890			0.779024
$686$	0.100897	+	18.5200i	0.00385228	+	0.707096i
$687$	1.24633	−	7.06830i	0.0475506	−	0.269673i
$688$	−5.01874	−	1.82667i	−0.191338	−	0.0696412i
$689$	−10.4402	+	3.79994i	−0.397741	+	0.144766i
$690$	0.625108	+	0.227521i	0.0237975	+	0.00866157i
$691$	9.45276	−	16.3727i	0.359600	−	0.622846i	−0.628294	−	0.777976i	$-0.716246\pi$
$691$	9.45276	−	16.3727i	0.359600	−	0.622846i	0.987894	+	0.155130i	$0.0495798\pi$
$692$	10.9707	−	19.0017i	0.417042	−	0.722338i
$693$	1.06163	−	9.22816i	0.0403281	−	0.350549i
$694$	19.0684	+	6.94032i	0.723825	+	0.263451i
$695$	−0.848525			−0.0321864
$696$	−3.58306			−0.135815
$697$	−39.1958	−	14.2661i	−1.48465	−	0.540367i
$698$	−2.76773	+	15.6966i	−0.104760	+	0.594125i
$699$	−14.5805	+	12.2345i	−0.551485	+	0.462751i
$700$	−3.94395	−	5.97283i	−0.149067	−	0.225752i
$701$	10.6263	−	3.86766i	0.401350	−	0.146079i	−0.133455	−	0.991055i	$-0.542607\pi$
$701$	10.6263	−	3.86766i	0.401350	−	0.146079i	0.534805	+	0.844975i	$0.320385\pi$
$702$	−1.24586	−	2.15789i	−0.0470219	−	0.0814443i
$703$	−2.90680	+	5.90915i	−0.109632	+	0.222868i
$704$	1.75546	−	3.04055i	0.0661614	−	0.114595i
$705$	−12.4021	−	10.4066i	−0.467091	−	0.391936i
$706$	−3.27061	+	18.5486i	−0.123091	+	0.698084i
$707$	0.683498	−	0.296306i	0.0257056	−	0.0111437i
$708$	6.97909	+	5.85615i	0.262290	+	0.220088i
$709$	−10.9623	+	9.19849i	−0.411699	+	0.345457i	−0.824995	−	0.565140i	$-0.808822\pi$
$709$	−10.9623	+	9.19849i	−0.411699	+	0.345457i	0.413296	+	0.910597i	$0.364378\pi$
$710$	−20.8900			−0.783988
$711$	6.58678	+	11.4086i	0.247023	+	0.427857i
$712$	−1.09162	−	6.19089i	−0.0409102	−	0.232014i
$713$	1.50112	+	0.546362i	0.0562173	+	0.0204614i
$714$	7.70827	−	7.29888i	0.288475	−	0.273154i
$715$	6.62606	+	11.4767i	0.247801	+	0.429203i
$716$	−10.1886	+	8.54921i	−0.380764	+	0.319499i
$717$	5.76552	−	2.09848i	0.215317	−	0.0783691i
$718$	−2.36832	−	13.4314i	−0.0883851	−	0.501257i
$719$	−28.1847	+	10.2584i	−1.05111	+	0.382573i	−0.809082	−	0.587696i	$-0.800035\pi$
$719$	−28.1847	+	10.2584i	−1.05111	+	0.382573i	−0.242029	+	0.970269i	$0.577813\pi$
$720$	−1.42348	+	0.518104i	−0.0530500	+	0.0193086i
$721$	−33.5780	+	31.7946i	−1.25051	+	1.18409i
$722$	−16.8358	+	8.80657i	−0.626564	+	0.327747i
$723$	2.00608	+	3.47463i	0.0746069	+	0.129223i
$724$	−2.35616	+	13.3624i	−0.0875659	+	0.496611i
$725$	7.42538	+	6.23063i	0.275772	+	0.231400i
$726$	−1.24657	−	0.453715i	−0.0462646	−	0.0168389i
$727$	−37.1877	−	31.2042i	−1.37921	−	1.15730i	−0.969502	−	0.245083i	$-0.921185\pi$
$727$	−37.1877	−	31.2042i	−1.37921	−	1.15730i	−0.409712	−	0.912215i	$-0.634371\pi$
$728$	6.04855	−	2.62213i	0.224174	−	0.0971826i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	4.36360			0.161504
$731$	−16.4157	+	13.7744i	−0.607155	+	0.509463i
$732$	7.89339	−	6.62334i	0.291748	−	0.244806i
$733$	28.0811			1.03720			0.518600	−	0.855017i	$-0.326453\pi$
$733$	28.0811			1.03720			0.518600	+	0.855017i	$0.326453\pi$
$734$	0.540774	+	0.936649i	0.0199603	+	0.0345723i
$735$	−6.36303	−	8.48254i	−0.234704	−	0.312883i
$736$	−0.336401	−	0.282274i	−0.0123999	−	0.0104048i
$737$	32.7280	+	11.9120i	1.20555	+	0.438785i
$738$	−7.96365	−	6.68230i	−0.293146	−	0.245979i
$739$	8.55070	−	48.4934i	0.314542	−	1.78386i	−0.260231	−	0.965546i	$-0.583799\pi$
$739$	8.55070	−	48.4934i	0.314542	−	1.78386i	0.574774	−	0.818312i	$-0.305090\pi$
$740$	−1.14430	−	1.98199i	−0.0420655	−	0.0728595i
$741$	10.8372	−	0.721080i	0.398114	−	0.0264895i
$742$	−2.74144	−	11.4741i	−0.100641	−	0.421229i
$743$	−12.1137	+	4.40904i	−0.444410	+	0.161752i	−0.554525	−	0.832167i	$-0.687100\pi$
$743$	−12.1137	+	4.40904i	−0.444410	+	0.161752i	0.110115	+	0.993919i	$0.464878\pi$
$744$	−3.41830	+	1.24416i	−0.125321	+	0.0456132i
$745$	−0.672732	−	3.81525i	−0.0246470	−	0.139780i
$746$	−26.3785	+	9.60100i	−0.965786	+	0.351517i
$747$	7.87735	−	6.60988i	0.288217	−	0.241843i
$748$	−7.04347	−	12.1996i	−0.257535	−	0.446063i
$749$	−1.92328	−	8.04977i	−0.0702750	−	0.294132i
$750$	10.9683	+	3.99214i	0.400506	+	0.145772i
$751$	4.73335	+	26.8442i	0.172722	+	0.979558i	0.940740	+	0.339129i	$0.110132\pi$
$751$	4.73335	+	26.8442i	0.172722	+	0.979558i	−0.768018	+	0.640429i	$0.778757\pi$
$752$	5.34375	+	9.25565i	0.194867	+	0.337519i
$753$	−23.1179			−0.842465
$754$	−6.83922	+	5.73879i	−0.249070	+	0.208994i
$755$	3.19962	+	2.68480i	0.116446	+	0.0977099i
$756$	2.42746	−	1.05234i	0.0882860	−	0.0382732i
$757$	6.98942	−	39.6390i	0.254035	−	1.44070i	−0.544503	−	0.838759i	$-0.683282\pi$
$757$	6.98942	−	39.6390i	0.254035	−	1.44070i	0.798538	−	0.601944i	$-0.205607\pi$
$758$	−27.7799	−	23.3101i	−1.00901	−	0.846662i
$759$	−0.770894	+	1.33523i	−0.0279817	+	0.0484657i
$760$	0.712352	−	6.56448i	0.0258397	−	0.238119i
$761$	15.6262	+	27.0654i	0.566450	+	0.981120i	0.996913	+	0.0785117i	$0.0250168\pi$
$761$	15.6262	+	27.0654i	0.566450	+	0.981120i	−0.430463	+	0.902608i	$0.641650\pi$
$762$	−3.63587	+	1.32335i	−0.131714	+	0.0479399i
$763$	18.2453	−	36.4944i	0.660523	−	1.32119i
$764$	0.0591865	−	0.0496634i	0.00214129	−	0.00179676i
$765$	−1.05543	+	5.98567i	−0.0381593	+	0.216412i
$766$	−33.3694	−	12.1455i	−1.20568	−	0.438833i
$767$	22.7009			0.819682
$768$	1.00000			0.0360844
$769$	−33.2965	−	12.1189i	−1.20070	−	0.437020i	−0.337233	−	0.941421i	$-0.609491\pi$
$769$	−33.2965	−	12.1189i	−1.20070	−	0.437020i	−0.863469	+	0.504401i	$0.831713\pi$
$770$	−12.9104	+	5.59683i	−0.465259	+	0.201696i
$771$	−3.75402	+	6.50215i	−0.135198	+	0.234169i
$772$	9.67594	−	16.7592i	0.348245	−	0.603178i
$773$	−32.3191	−	11.7632i	−1.16244	−	0.423093i	−0.312471	−	0.949927i	$-0.601157\pi$
$773$	−32.3191	−	11.7632i	−1.16244	−	0.423093i	−0.849968	+	0.526834i	$0.823379\pi$
$774$	−5.01874	+	1.82667i	−0.180395	+	0.0656583i
$775$	9.24744	+	3.36579i	0.332178	+	0.120903i
$776$	−1.47663	+	8.37439i	−0.0530080	+	0.300623i
$777$	2.20255	+	3.33561i	0.0790162	+	0.119664i
$778$	16.4798			0.590830
$779$	41.4586	−	18.2912i	1.48541	−	0.655351i
$780$	−1.88727	+	3.26885i	−0.0675752	+	0.117044i
$781$	8.40745	−	47.6810i	0.300842	−	1.70616i
$782$	−1.65571	+	0.602630i	−0.0592082	+	0.0215500i
$783$	−2.74478	+	2.30315i	−0.0980905	+	0.0823077i
$784$	2.03197	+	6.69859i	0.0725702	+	0.239235i
$785$	−6.17093	−	34.9971i	−0.220250	−	1.24910i
$786$	3.29451	−	5.70626i	0.117511	−	0.203536i
$787$	13.7996	+	23.9016i	0.491903	+	0.852000i	0.999957	−	0.00932493i	$-0.00296826\pi$
$787$	13.7996	+	23.9016i	0.491903	+	0.852000i	−0.508054	+	0.861325i	$0.669635\pi$
$788$	−13.8736	+	11.6413i	−0.494227	+	0.414706i
$789$	2.04405	+	11.5924i	0.0727700	+	0.412699i
$790$	9.97789	−	17.2822i	0.354997	−	0.614873i
$791$	−1.67443	+	1.58550i	−0.0595358	+	0.0563739i
$792$	−0.609665	−	3.45758i	−0.0216635	−	0.122860i
$793$	4.45839	−	25.2848i	0.158322	−	0.897890i
$794$	−0.241108	−	1.36739i	−0.00855661	−	0.0485269i
$795$	5.17423	+	4.34169i	0.183511	+	0.153984i
$796$	4.24003	+	3.55781i	0.150284	+	0.126103i
$797$	−14.2727			−0.505566			−0.252783	−	0.967523i	$-0.581346\pi$
$797$	−14.2727			−0.505566			−0.252783	+	0.967523i	$0.581346\pi$
$798$	−0.554498	+	11.5192i	−0.0196290	+	0.407776i
$799$	42.8817			1.51705
$800$	−2.07236	−	1.73892i	−0.0732689	−	0.0614799i
$801$	−4.81566	−	4.04082i	−0.170153	−	0.142775i
$802$	−3.55379	−	20.1546i	−0.125489	−	0.711682i
$803$	−1.75619	+	9.95984i	−0.0619745	+	0.351475i
$804$	1.72259	+	9.76931i	0.0607512	+	0.344537i
$805$	0.408999	+	1.71184i	0.0144153	+	0.0603345i
$806$	−4.53204	+	7.84972i	−0.159634	+	0.276495i
$807$	−0.592152	−	3.35826i	−0.0208447	−	0.118216i
$808$	0.215694	−	0.180989i	0.00758810	−	0.00636717i
$809$	−15.2100	−	26.3444i	−0.534753	−	0.926220i	−0.999175	−	0.0406060i	$-0.987071\pi$
$809$	−15.2100	−	26.3444i	−0.534753	−	0.926220i	0.464422	−	0.885614i	$-0.346262\pi$
$810$	−0.757418	+	1.31189i	−0.0266130	+	0.0460950i
$811$	1.35462	+	7.68245i	0.0475672	+	0.269767i	0.999311	−	0.0371281i	$-0.0118210\pi$
$811$	1.35462	+	7.68245i	0.0475672	+	0.269767i	−0.951743	+	0.306895i	$0.900710\pi$
$812$	−5.22365	−	7.91085i	−0.183314	−	0.277616i
$813$	4.41615	−	3.70559i	0.154881	−	0.129961i
$814$	4.98440	−	1.81417i	0.174703	−	0.0635868i
$815$	2.87398	−	16.2991i	0.100671	−	0.570933i
$816$	2.00616	−	3.47477i	0.0702296	−	0.121641i
$817$	2.51153	−	23.1443i	0.0878672	−	0.809715i
$818$	−17.6957			−0.618716
$819$	2.94799	−	5.89660i	0.103011	−	0.206044i
$820$	−2.73460	+	15.5087i	−0.0954965	+	0.541587i
$821$	−24.4959	−	8.91576i	−0.854911	−	0.311162i	−0.122870	−	0.992423i	$-0.539210\pi$
$821$	−24.4959	−	8.91576i	−0.854911	−	0.311162i	−0.732041	+	0.681261i	$0.761432\pi$
$822$	−12.6478	+	4.60344i	−0.441144	+	0.160563i
$823$	27.2004	+	9.90013i	0.948145	+	0.345097i	0.769377	−	0.638795i	$-0.220567\pi$
$823$	27.2004	+	9.90013i	0.948145	+	0.345097i	0.178768	+	0.983891i	$0.442789\pi$
$824$	−8.73903	+	15.1364i	−0.304439	+	0.527303i
$825$	−4.74900	+	8.22551i	−0.165339	+	0.286375i
$826$	−2.75485	+	23.9463i	−0.0958535	+	0.833199i
$827$	36.9034	+	13.4318i	1.28326	+	0.467068i	0.891509	−	0.453004i	$-0.149648\pi$
$827$	36.9034	+	13.4318i	1.28326	+	0.467068i	0.391750	+	0.920072i	$0.371870\pi$
$828$	−0.439141			−0.0152612
$829$	−17.6803			−0.614063			−0.307032	−	0.951699i	$-0.599336\pi$
$829$	−17.6803			−0.614063			−0.307032	+	0.951699i	$0.599336\pi$
$830$	−14.6379	−	5.32774i	−0.508088	−	0.184929i
$831$	4.33514	−	24.5858i	0.150384	−	0.852872i
$832$	1.90877	−	1.60164i	0.0661745	−	0.0555270i
$833$	27.3525	+	6.37783i	0.947708	+	0.220979i
$834$	0.526362	−	0.191580i	0.0182264	−	0.00663388i
$835$	−14.7658	−	25.5750i	−0.510990	−	0.885061i
$836$	14.6966	+	4.26789i	0.508292	+	0.147608i
$837$	−1.81884	+	3.15033i	−0.0628684	+	0.108891i
$838$	3.80468	+	3.19250i	0.131430	+	0.110283i
$839$	0.158123	−	0.896762i	0.00545902	−	0.0309597i	−0.981957	−	0.189107i	$-0.939441\pi$
$839$	0.158123	−	0.896762i	0.00545902	−	0.0309597i	0.987416	+	0.158147i	$0.0505520\pi$
$840$	−3.21915	−	2.38750i	−0.111071	−	0.0823765i
$841$	−12.3806	−	10.3885i	−0.426916	−	0.358225i
$842$	12.1577	−	10.2015i	0.418983	−	0.351568i
$843$	−7.74889			−0.266886
$844$	−5.89364	−	10.2081i	−0.202868	−	0.351377i
$845$	−1.78645	−	10.1315i	−0.0614559	−	0.348534i
$846$	10.0430	+	3.65534i	0.345285	+	0.125673i
$847$	−0.815612	−	3.41370i	−0.0280248	−	0.117296i
$848$	−2.22944	−	3.86150i	−0.0765593	−	0.132605i
$849$	−2.86877	+	2.40719i	−0.0984560	+	0.0826144i
$850$	−10.1998	+	3.71243i	−0.349851	+	0.127335i
$851$	−0.115207	−	0.653373i	−0.00394925	−	0.0223973i
$852$	12.9586	−	4.71655i	0.443955	−	0.161586i
$853$	−23.2865	+	8.47559i	−0.797315	+	0.290199i	−0.708373	−	0.705838i	$-0.750571\pi$
$853$	−23.2865	+	8.47559i	−0.797315	+	0.290199i	−0.0889415	+	0.996037i	$0.528348\pi$
$854$	26.1309	+	7.77140i	0.894182	+	0.265932i
$855$	−3.67387	−	5.48657i	−0.125644	−	0.187637i
$856$	−1.56408	−	2.70907i	−0.0534592	−	0.0925940i
$857$	7.61196	−	43.1695i	0.260019	−	1.47464i	−0.522832	−	0.852436i	$-0.675125\pi$
$857$	7.61196	−	43.1695i	0.260019	−	1.47464i	0.782852	−	0.622208i	$-0.213764\pi$
$858$	−6.70153	−	5.62325i	−0.228786	−	0.191975i
$859$	14.9533	+	5.44257i	0.510201	+	0.185698i	0.584277	−	0.811555i	$-0.301378\pi$
$859$	14.9533	+	5.44257i	0.510201	+	0.185698i	−0.0740754	+	0.997253i	$0.523601\pi$
$860$	6.19767	+	5.20046i	0.211339	+	0.177334i
$861$	3.14349	−	27.3245i	0.107130	−	0.931217i
$862$	−5.94309	−	10.2937i	−0.202423	−	0.350606i
$863$	2.31932			0.0789506			0.0394753	−	0.999221i	$-0.487431\pi$
$863$	2.31932			0.0789506			0.0394753	+	0.999221i	$0.487431\pi$
$864$	0.766044	−	0.642788i	0.0260614	−	0.0218681i
$865$	−25.4614	+	21.3647i	−0.865714	+	0.726420i
$866$	−4.17225			−0.141779
$867$	0.450645	+	0.780540i	0.0153047	+	0.0265085i
$868$	−7.73038	−	5.73327i	−0.262386	−	0.194600i
$869$	35.4306	+	29.7298i	1.20190	+	1.00851i
$870$	5.10041	+	1.85640i	0.172920	+	0.0629378i
$871$	18.9350	+	15.8883i	0.641588	+	0.538356i
$872$	2.67789	−	15.1871i	0.0906849	−	0.514300i
$873$	4.25179	+	7.36432i	0.143901	+	0.249244i
$874$	0.844916	−	1.71760i	0.0285797	−	0.0580988i
$875$	7.17639	+	30.0364i	0.242606	+	1.01542i
$876$	−2.70686	+	0.985216i	−0.0914563	+	0.0332874i
$877$	−1.49477	+	0.544050i	−0.0504747	+	0.0183713i	−0.367134	−	0.930168i	$-0.619661\pi$
$877$	−1.49477	+	0.544050i	−0.0504747	+	0.0183713i	0.316659	+	0.948539i	$0.397439\pi$
$878$	−4.67427	−	26.5091i	−0.157749	−	0.894638i
$879$	11.5998	−	4.22199i	0.391252	−	0.142404i
$880$	−4.07419	+	3.41865i	−0.137341	+	0.115243i
$881$	13.4118	+	23.2298i	0.451854	+	0.782633i	0.998501	−	0.0547293i	$-0.0174296\pi$
$881$	13.4118	+	23.2298i	0.451854	+	0.782633i	−0.546648	+	0.837363i	$0.684096\pi$
$882$	5.86235	+	3.82530i	0.197395	+	0.128804i
$883$	4.50578	+	1.63997i	0.151631	+	0.0551893i	0.416721	−	0.909035i	$-0.363179\pi$
$883$	4.50578	+	1.63997i	0.151631	+	0.0551893i	−0.265089	+	0.964224i	$0.585401\pi$
$884$	−1.73606	−	9.84568i	−0.0583900	−	0.331146i
$885$	−6.90050	−	11.9520i	−0.231958	−	0.401762i
$886$	−17.0121			−0.571533
$887$	−37.5566	+	31.5138i	−1.26103	+	1.05813i	−0.265457	+	0.964123i	$0.585523\pi$
$887$	−37.5566	+	31.5138i	−1.26103	+	1.05813i	−0.995572	+	0.0940056i	$0.970033\pi$
$888$	1.15734	+	0.971121i	0.0388377	+	0.0325887i
$889$	−8.22241	−	6.09818i	−0.275771	−	0.204526i
$890$	−1.65363	+	9.37819i	−0.0554297	+	0.314358i
$891$	−2.68952	−	2.25678i	−0.0901024	−	0.0756049i
$892$	6.25933	−	10.8415i	0.209578	−	0.363000i
$893$	−33.6200	+	32.2480i	−1.12505	+	1.07914i
$894$	1.27872	+	2.21481i	0.0427669	+	0.0740744i
$895$	18.9326	−	6.89090i	0.632847	−	0.230337i
$896$	1.45788	+	2.20785i	0.0487042	+	0.0737591i
$897$	−0.838217	+	0.703347i	−0.0279872	+	0.0234841i
$898$	−0.929678	+	5.27247i	−0.0310238	+	0.175944i
$899$	12.2480	+	4.45790i	0.408493	+	0.148679i
$900$	−2.70527			−0.0901757
$901$	−17.8905			−0.596018
$902$	−34.2977	−	12.4834i	−1.14199	−	0.415650i
$903$	−11.3497	−	8.41755i	−0.377695	−	0.280119i
$904$	−0.435788	+	0.754807i	−0.0144941	+	0.0251045i
$905$	10.2771	−	17.8004i	0.341622	−	0.591706i
$906$	−2.59098	−	0.943041i	−0.0860797	−	0.0313304i
$907$	13.6137	−	4.95497i	0.452035	−	0.164527i	−0.105962	−	0.994370i	$-0.533792\pi$
$907$	13.6137	−	4.95497i	0.452035	−	0.164527i	0.557997	+	0.829843i	$0.311570\pi$
$908$	−17.7959	−	6.47716i	−0.590576	−	0.214952i
$909$	0.0488939	−	0.277291i	0.00162171	−	0.00919717i
$910$	−9.96853	+	0.598767i	−0.330454	+	0.0198489i
$911$	24.0395			0.796464			0.398232	−	0.917285i	$-0.369624\pi$
$911$	24.0395			0.796464			0.398232	+	0.917285i	$0.369624\pi$
$912$	1.04024	+	4.23295i	0.0344458	+	0.140167i
$913$	18.0517	−	31.2664i	0.597423	−	1.03477i
$914$	−3.97564	+	22.5470i	−0.131502	+	0.745787i
$915$	−14.6677	+	5.33859i	−0.484898	+	0.176488i
$916$	5.49816	−	4.61351i	0.181664	−	0.152435i
$917$	17.4016	−	1.04524i	0.574650	−	0.0345168i
$918$	−0.696732	−	3.95136i	−0.0229956	−	0.130414i
$919$	26.7650	−	46.3583i	0.882894	−	1.52922i	0.0347861	−	0.999395i	$-0.488925\pi$
$919$	26.7650	−	46.3583i	0.882894	−	1.52922i	0.848108	−	0.529823i	$-0.177742\pi$
$920$	0.332613	+	0.576103i	0.0109659	+	0.0189935i
$921$	19.6850	−	16.5177i	0.648644	−	0.544277i
$922$	−3.97570	−	22.5473i	−0.130933	−	0.742556i
$923$	17.1807	−	29.7579i	0.565511	−	0.979493i
$924$	6.74501	−	6.38678i	0.221894	−	0.210110i
$925$	−0.709720	−	4.02502i	−0.0233355	−	0.132342i
$926$	−4.29991	+	24.3860i	−0.141304	+	0.801373i
$927$	3.03503	+	17.2125i	0.0996836	+	0.565334i
$928$	−2.74478	−	2.30315i	−0.0901019	−	0.0756044i
$929$	6.27197	+	5.26281i	0.205777	+	0.172667i	0.739852	−	0.672770i	$-0.234896\pi$
$929$	6.27197	+	5.26281i	0.205777	+	0.172667i	−0.534075	+	0.845437i	$0.679340\pi$
$930$	5.51049			0.180696
$931$	−26.2411	+	15.5694i	−0.860017	+	0.510265i
$932$	−19.0335			−0.623463
$933$	−8.40334	−	7.05124i	−0.275113	−	0.230847i
$934$	−19.0753	−	16.0061i	−0.624164	−	0.523736i
$935$	3.70555	+	21.0152i	0.121184	+	0.687271i
$936$	0.432682	−	2.45386i	0.0141427	−	0.0802070i
$937$	3.59597	+	20.3937i	0.117475	+	0.666234i	0.985495	+	0.169705i	$0.0542814\pi$
$937$	3.59597	+	20.3937i	0.117475	+	0.666234i	−0.868020	+	0.496529i	$0.834607\pi$
$938$	−19.0578	+	18.0457i	−0.622260	+	0.589212i
$939$	11.9454	−	20.6900i	0.389822	−	0.675192i
$940$	−2.81133	−	15.9439i	−0.0916956	−	0.520032i
$941$	28.2916	−	23.7395i	0.922280	−	0.773885i	−0.0521353	−	0.998640i	$-0.516603\pi$
$941$	28.2916	−	23.7395i	0.922280	−	0.773885i	0.974415	+	0.224755i	$0.0721583\pi$
$942$	11.7296	+	20.3163i	0.382172	+	0.661942i
$943$	−2.28261	+	3.95360i	−0.0743321	+	0.128747i
$944$	1.58203	+	8.97214i	0.0514907	+	0.292018i
$945$	−4.00067	+	0.240303i	−0.130142	+	0.00781706i
$946$	−14.3643	+	12.0531i	−0.467023	+	0.391879i
$947$	41.7345	−	15.1901i	1.35619	−	0.493612i	0.441314	−	0.897353i	$-0.354512\pi$
$947$	41.7345	−	15.1901i	1.35619	−	0.493612i	0.914874	+	0.403741i	$0.132290\pi$
$948$	−2.28756	+	12.9734i	−0.0742966	+	0.421357i
$949$	−3.58879	+	6.21597i	−0.116497	+	0.201779i
$950$	5.20500	−	10.5811i	0.168872	−	0.343296i
$951$	−13.6322			−0.442053
$952$	10.5965	−	0.636486i	0.343435	−	0.0206286i
$953$	−10.4148	+	59.0650i	−0.337367	+	1.91330i	0.0651194	+	0.997877i	$0.479257\pi$
$953$	−10.4148	+	59.0650i	−0.337367	+	1.91330i	−0.402486	+	0.915426i	$0.631854\pi$
$954$	−4.18998	−	1.52503i	−0.135656	−	0.0493746i
$955$	−0.109982	+	0.0400300i	−0.00355892	+	0.00129534i
$956$	5.76552	+	2.09848i	0.186470	+	0.0678696i
$957$	−6.28992	+	10.8945i	−0.203324	+	0.352168i
$958$	−1.74546	+	3.02323i	−0.0563933	+	0.0976761i
$959$	−28.6027	−	21.2133i	−0.923628	−	0.685013i
$960$	−1.42348	−	0.518104i	−0.0459426	−	0.0167217i
$961$	−17.7673			−0.573137
$962$	3.76448			0.121372
$963$	−2.93951	−	1.06989i	−0.0947244	−	0.0344769i
$964$	−0.696704	+	3.95120i	−0.0224393	+	0.127260i
$965$	−22.4565	+	18.8433i	−0.722902	+	0.606586i
$966$	−0.640213	−	0.969556i	−0.0205985	−	0.0311950i
$967$	22.0055	−	8.00934i	0.707648	−	0.257563i	0.0369754	−	0.999316i	$-0.488228\pi$
$967$	22.0055	−	8.00934i	0.707648	−	0.257563i	0.670673	+	0.741753i	$0.266005\pi$
$968$	−0.663286	−	1.14885i	−0.0213188	−	0.0369253i
$969$	16.7954	+	4.87739i	0.539547	+	0.156684i
$970$	6.44077	−	11.1557i	0.206801	−	0.358189i
$971$	19.2007	+	16.1113i	0.616181	+	0.517037i	0.896601	−	0.442840i	$-0.146029\pi$
$971$	19.2007	+	16.1113i	0.616181	+	0.517037i	−0.280419	+	0.959878i	$0.590474\pi$
$972$	0.173648	−	0.984808i	0.00556977	−	0.0315877i
$973$	1.19035	+	0.882828i	0.0381609	+	0.0283022i
$974$	−14.9848	−	12.5737i	−0.480143	−	0.402888i
$975$	−5.16373	+	4.33288i	−0.165372	+	0.138763i
$976$	10.3041			0.329826
$977$	−22.4903	−	38.9544i	−0.719530	−	1.24626i	−0.961186	−	0.275900i	$-0.911024\pi$
$977$	−22.4903	−	38.9544i	−0.719530	−	1.24626i	0.241656	−	0.970362i	$-0.422309\pi$
$978$	1.89722	+	10.7597i	0.0606664	+	0.344056i
$979$	−20.7400	−	7.54874i	−0.662853	−	0.241259i
$980$	0.578107	−	10.5881i	0.0184670	−	0.338224i
$981$	−7.71069	−	13.3553i	−0.246183	−	0.426402i
$982$	−8.47848	+	7.11429i	−0.270559	+	0.227026i
$983$	−40.3226	+	14.6762i	−1.28609	+	0.468099i	−0.892442	−	0.451162i	$-0.851010\pi$
$983$	−40.3226	+	14.6762i	−1.28609	+	0.468099i	−0.393649	+	0.919261i	$0.628787\pi$
$984$	−1.80521	−	10.2379i	−0.0575481	−	0.326371i
$985$	25.7802	−	9.38324i	0.821427	−	0.298975i
$986$	−13.5094	+	4.91701i	−0.430226	+	0.156589i
$987$	6.57096	+	27.5024i	0.209156	+	0.875411i
$988$	8.76526	+	6.41362i	0.278860	+	0.204045i
$989$	1.17269	+	2.03115i	0.0372893	+	0.0645870i
$990$	−0.923543	+	5.23767i	−0.0293521	+	0.166464i
$991$	−33.8721	−	28.4221i	−1.07598	−	0.902857i	−0.0804025	−	0.996762i	$-0.525621\pi$
$991$	−33.8721	−	28.4221i	−1.07598	−	0.902857i	−0.995581	+	0.0939050i	$0.970065\pi$
$992$	−3.41830	−	1.24416i	−0.108531	−	0.0395022i
$993$	12.7619	+	10.7085i	0.404987	+	0.339824i
$994$	29.3055	+	21.7345i	0.929514	+	0.689377i
$995$	−4.19229	−	7.26125i	−0.132904	−	0.230197i
$996$	10.2831			0.325834
$997$	42.3231	−	35.5133i	1.34039	−	1.12472i	0.358860	−	0.933391i	$-0.383166\pi$
$997$	42.3231	−	35.5133i	1.34039	−	1.12472i	0.981527	−	0.191326i	$-0.0612788\pi$
$998$	16.1015	−	13.5108i	0.509685	−	0.427677i
$999$	1.51080			0.0477995

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bp.d.613.5	yes	36
7.2	even	3		798.2.bq.d.499.2	yes	36
19.4	even	9		798.2.bq.d.403.2	yes	36
133.23	even	9	inner	798.2.bp.d.289.5	✓	36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bp.d.289.5	✓	36	133.23	even	9	inner
798.2.bp.d.613.5	yes	36	1.1	even	1	trivial
798.2.bq.d.403.2	yes	36	19.4	even	9
798.2.bq.d.499.2	yes	36	7.2	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:	\( N \)	\(=\)	\( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	798.bp (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.263049 - 1.49182i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-1.92115 + 1.81912i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +O(q^{10})\)	\(q+(0.766044 + 0.642788i) q^{2} +(0.766044 + 0.642788i) q^{3} +(0.173648 + 0.984808i) q^{4} +(0.263049 - 1.49182i) q^{5} +(0.173648 + 0.984808i) q^{6} +(-1.92115 + 1.81912i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(0.173648 + 0.984808i) q^{9} +(1.16043 - 0.973718i) q^{10} +(1.75546 + 3.04055i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.432682 + 2.45386i) q^{13} +(-2.64099 + 0.158633i) q^{14} +(1.16043 - 0.973718i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.696732 + 3.95136i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-2.42526 - 3.62189i) q^{19} +1.51484 q^{20} +(-2.64099 + 0.158633i) q^{21} +(-0.609665 + 3.45758i) q^{22} +(0.412657 + 0.150195i) q^{23} +(-0.939693 + 0.342020i) q^{24} +(2.54212 + 0.925257i) q^{25} +(-1.24586 + 2.15789i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-2.12508 - 1.57608i) q^{28} +(3.36697 + 1.22548i) q^{29} +1.51484 q^{30} +3.63768 q^{31} +(-0.939693 - 0.342020i) q^{32} +(-0.609665 + 3.45758i) q^{33} +(-3.07362 + 2.57907i) q^{34} +(2.20844 + 3.34453i) q^{35} +(-0.939693 + 0.342020i) q^{36} +(-0.755398 - 1.30839i) q^{37} +(0.470250 - 4.33346i) q^{38} +(-1.24586 + 2.15789i) q^{39} +(1.16043 + 0.973718i) q^{40} +(-1.80521 + 10.2379i) q^{41} +(-2.12508 - 1.57608i) q^{42} +(4.09131 + 3.43302i) q^{43} +(-2.68952 + 2.25678i) q^{44} +1.51484 q^{45} +(0.219570 + 0.380307i) q^{46} +(-1.85587 - 10.5251i) q^{47} +(-0.939693 - 0.342020i) q^{48} +(0.381630 - 6.98959i) q^{49} +(1.35264 + 2.34283i) q^{50} +(-3.07362 + 2.57907i) q^{51} +(-2.34145 + 0.852217i) q^{52} +(0.774277 + 4.39114i) q^{53} +(-0.939693 + 0.342020i) q^{54} +(4.99773 - 1.81902i) q^{55} +(-0.614826 - 2.57332i) q^{56} +(0.470250 - 4.33346i) q^{57} +(1.79153 + 3.10302i) q^{58} +(1.58203 - 8.97214i) q^{59} +(1.16043 + 0.973718i) q^{60} +(-9.68268 - 3.52421i) q^{61} +(2.78663 + 2.33826i) q^{62} +(-2.12508 - 1.57608i) q^{63} +(-0.500000 - 0.866025i) q^{64} +3.77454 q^{65} +(-2.68952 + 2.25678i) q^{66} +(7.59917 - 6.37646i) q^{67} -4.01232 q^{68} +(0.219570 + 0.380307i) q^{69} +(-0.458057 + 3.98162i) q^{70} +(-10.5640 - 8.86422i) q^{71} +(-0.939693 - 0.342020i) q^{72} +(2.20665 + 1.85160i) q^{73} +(0.262347 - 1.48784i) q^{74} +(1.35264 + 2.34283i) q^{75} +(3.14573 - 3.01735i) q^{76} +(-8.90361 - 2.64796i) q^{77} +(-2.34145 + 0.852217i) q^{78} +(12.3791 - 4.50562i) q^{79} +(0.263049 + 1.49182i) q^{80} +(-0.939693 + 0.342020i) q^{81} +(-7.96365 + 6.68230i) q^{82} +(-5.14157 - 8.90547i) q^{83} +(-0.614826 - 2.57332i) q^{84} +(5.71146 + 2.07880i) q^{85} +(0.927425 + 5.25969i) q^{86} +(1.79153 + 3.10302i) q^{87} -3.51092 q^{88} +(-4.81566 + 4.04082i) q^{89} +(1.16043 + 0.973718i) q^{90} +(-5.29511 - 3.92714i) q^{91} +(-0.0762560 + 0.432469i) q^{92} +(2.78663 + 2.33826i) q^{93} +(5.34375 - 9.25565i) q^{94} +(-6.04118 + 2.66532i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(7.99075 - 2.90840i) q^{97} +(4.78517 - 5.10903i) q^{98} +(-2.68952 + 2.25678i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 36 q - 6 q^{5} - 18 q^{8}+O(q^{10}) \) 36 * q - 6 * q^5 - 18 * q^8	\( 36 q - 6 q^{5} - 18 q^{8} + 3 q^{10} + 3 q^{11} - 18 q^{12} + 27 q^{13} + 12 q^{14} + 3 q^{15} + 6 q^{17} - 18 q^{18} - 12 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 9 q^{23} + 6 q^{25} + 9 q^{26} - 18 q^{27} + 9 q^{29} - 6 q^{30} + 6 q^{31} - 3 q^{33} - 3 q^{34} - 6 q^{35} + 21 q^{37} - 9 q^{38} + 9 q^{39} + 3 q^{40} - 9 q^{41} + 51 q^{43} + 6 q^{44} - 6 q^{45} + 6 q^{46} - 15 q^{47} + 24 q^{49} - 9 q^{50} - 3 q^{51} - 27 q^{52} + 30 q^{53} + 27 q^{55} - 9 q^{57} + 18 q^{58} + 6 q^{59} + 3 q^{60} + 30 q^{61} - 24 q^{62} - 18 q^{64} - 84 q^{65} + 6 q^{66} + 42 q^{67} - 36 q^{68} + 6 q^{69} - 24 q^{70} + 6 q^{71} + 66 q^{73} - 12 q^{74} - 9 q^{75} - 6 q^{76} + 9 q^{77} - 27 q^{78} + 12 q^{79} - 6 q^{80} - 18 q^{82} + 30 q^{83} + 36 q^{85} - 39 q^{86} + 18 q^{87} - 6 q^{88} + 66 q^{89} + 3 q^{90} - 9 q^{91} - 18 q^{92} - 24 q^{93} + 18 q^{94} - 57 q^{95} - 18 q^{96} + 45 q^{97} + 6 q^{99}+O(q^{100}) \) 36 * q - 6 * q^5 - 18 * q^8 + 3 * q^10 + 3 * q^11 - 18 * q^12 + 27 * q^13 + 12 * q^14 + 3 * q^15 + 6 * q^17 - 18 * q^18 - 12 * q^19 - 6 * q^20 + 12 * q^21 - 3 * q^22 - 9 * q^23 + 6 * q^25 + 9 * q^26 - 18 * q^27 + 9 * q^29 - 6 * q^30 + 6 * q^31 - 3 * q^33 - 3 * q^34 - 6 * q^35 + 21 * q^37 - 9 * q^38 + 9 * q^39 + 3 * q^40 - 9 * q^41 + 51 * q^43 + 6 * q^44 - 6 * q^45 + 6 * q^46 - 15 * q^47 + 24 * q^49 - 9 * q^50 - 3 * q^51 - 27 * q^52 + 30 * q^53 + 27 * q^55 - 9 * q^57 + 18 * q^58 + 6 * q^59 + 3 * q^60 + 30 * q^61 - 24 * q^62 - 18 * q^64 - 84 * q^65 + 6 * q^66 + 42 * q^67 - 36 * q^68 + 6 * q^69 - 24 * q^70 + 6 * q^71 + 66 * q^73 - 12 * q^74 - 9 * q^75 - 6 * q^76 + 9 * q^77 - 27 * q^78 + 12 * q^79 - 6 * q^80 - 18 * q^82 + 30 * q^83 + 36 * q^85 - 39 * q^86 + 18 * q^87 - 6 * q^88 + 66 * q^89 + 3 * q^90 - 9 * q^91 - 18 * q^92 - 24 * q^93 + 18 * q^94 - 57 * q^95 - 18 * q^96 + 45 * q^97 + 6 * q^99

Introduction

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