LMFDB - Embedded newform 798.2.bp.d.529.5

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			529.5
Character	$\chi$	$=$	798.529
Dual form			798.2.bp.d.709.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.173648 - 0.984808i) q^{2} +(0.173648 - 0.984808i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(2.30076 - 0.837408i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(0.935291 - 2.47492i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +O(q^{10})$	\(q+(0.173648 - 0.984808i) q^{2} +(0.173648 - 0.984808i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(2.30076 - 0.837408i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(0.935291 - 2.47492i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +(-0.425163 - 2.41122i) q^{10} +(-0.722194 - 1.25088i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(2.02308 + 0.736339i) q^{13} +(-2.27491 - 1.35085i) q^{14} +(-0.425163 - 2.41122i) q^{15} +(0.766044 + 0.642788i) q^{16} +(2.05926 - 0.749510i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-4.34574 + 0.338431i) q^{19} -2.44842 q^{20} +(-2.27491 - 1.35085i) q^{21} +(-1.35728 + 0.494009i) q^{22} +(5.45645 - 4.57851i) q^{23} +(0.766044 + 0.642788i) q^{24} +(0.762016 - 0.639408i) q^{25} +(1.07646 - 1.86448i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-1.72536 + 2.00578i) q^{28} +(-6.73310 + 5.64974i) q^{29} -2.44842 q^{30} +7.91787 q^{31} +(0.766044 - 0.642788i) q^{32} +(-1.35728 + 0.494009i) q^{33} +(-0.380536 - 2.15813i) q^{34} +(0.0793613 - 6.47741i) q^{35} +(0.766044 + 0.642788i) q^{36} +(-2.58317 - 4.47419i) q^{37} +(-0.421340 + 4.33849i) q^{38} +(1.07646 - 1.86448i) q^{39} +(-0.425163 + 2.41122i) q^{40} +(-8.18163 + 2.97787i) q^{41} +(-1.72536 + 2.00578i) q^{42} +(-0.0509230 + 0.288799i) q^{43} +(0.250815 + 1.42244i) q^{44} -2.44842 q^{45} +(-3.56145 - 6.16861i) q^{46} +(7.72727 + 2.81250i) q^{47} +(0.766044 - 0.642788i) q^{48} +(-5.25046 - 4.62954i) q^{49} +(-0.497371 - 0.861472i) q^{50} +(-0.380536 - 2.15813i) q^{51} +(-1.64923 - 1.38386i) q^{52} +(5.55131 + 2.02051i) q^{53} +(0.766044 + 0.642788i) q^{54} +(-2.70909 - 2.27319i) q^{55} +(1.67570 + 2.04745i) q^{56} +(-0.421340 + 4.33849i) q^{57} +(4.39472 + 7.61187i) q^{58} +(-2.22680 + 0.810487i) q^{59} +(-0.425163 + 2.41122i) q^{60} +(-2.08337 + 1.74815i) q^{61} +(1.37492 - 7.79758i) q^{62} +(-1.72536 + 2.00578i) q^{63} +(-0.500000 - 0.866025i) q^{64} +5.27122 q^{65} +(0.250815 + 1.42244i) q^{66} +(-2.27109 - 12.8800i) q^{67} -2.19142 q^{68} +(-3.56145 - 6.16861i) q^{69} +(-6.36523 - 1.20295i) q^{70} +(-2.50257 + 14.1928i) q^{71} +(0.766044 - 0.642788i) q^{72} +(-0.239732 + 1.35959i) q^{73} +(-4.85478 + 1.76699i) q^{74} +(-0.497371 - 0.861472i) q^{75} +(4.19941 + 1.16831i) q^{76} +(-3.77128 + 0.617439i) q^{77} +(-1.64923 - 1.38386i) q^{78} +(-5.56864 - 4.67265i) q^{79} +(2.30076 + 0.837408i) q^{80} +(0.766044 + 0.642788i) q^{81} +(1.51190 + 8.57443i) q^{82} +(-4.57133 - 7.91777i) q^{83} +(1.67570 + 2.04745i) q^{84} +(4.11022 - 3.44888i) q^{85} +(0.275568 + 0.100299i) q^{86} +(4.39472 + 7.61187i) q^{87} +1.44439 q^{88} +(1.44687 + 8.20562i) q^{89} +(-0.425163 + 2.41122i) q^{90} +(3.71454 - 4.31826i) q^{91} +(-6.69333 + 2.43617i) q^{92} +(1.37492 - 7.79758i) q^{93} +(4.11159 - 7.12149i) q^{94} +(-9.71510 + 4.41781i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(-4.86087 - 4.07876i) q^{97} +(-5.47094 + 4.36678i) q^{98} +(0.250815 + 1.42244i) 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 $\left(\mathbb{Z}/798\mathbb{Z}\right)^\times$.

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

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 $

$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$2$	0.173648	−	0.984808i	0.122788	−	0.696364i
$3$	0.173648	−	0.984808i	0.100256	−	0.568579i
$3$	0.173648	−	0.984808i	0.100256	−	0.568579i
$4$	−0.939693	−	0.342020i	−0.469846	−	0.171010i
$5$	2.30076	−	0.837408i	1.02893	−	0.374500i	0.228257	−	0.973601i	$-0.426697\pi$
$5$	2.30076	−	0.837408i	1.02893	−	0.374500i	0.800674	+	0.599101i	$0.204475\pi$
$6$	−0.939693	−	0.342020i	−0.383628	−	0.139629i
$7$	0.935291	−	2.47492i	0.353507	−	0.935432i
$7$	0.935291	−	2.47492i	0.353507	−	0.935432i
$8$	−0.500000	+	0.866025i	−0.176777	+	0.306186i
$9$	−0.939693	−	0.342020i	−0.313231	−	0.114007i
$10$	−0.425163	−	2.41122i	−0.134448	−	0.762494i
$11$	−0.722194	−	1.25088i	−0.217750	−	0.377153i	0.736370	−	0.676579i	$-0.236538\pi$
$11$	−0.722194	−	1.25088i	−0.217750	−	0.377153i	−0.954120	+	0.299426i	$0.903205\pi$
$12$	−0.500000	+	0.866025i	−0.144338	+	0.250000i
$13$	2.02308	+	0.736339i	0.561100	+	0.204224i	0.606971	−	0.794724i	$-0.292384\pi$
$13$	2.02308	+	0.736339i	0.561100	+	0.204224i	−0.0458714	+	0.998947i	$0.514606\pi$
$14$	−2.27491	−	1.35085i	−0.607995	−	0.361029i
$15$	−0.425163	−	2.41122i	−0.109777	−	0.622574i
$16$	0.766044	+	0.642788i	0.191511	+	0.160697i
$17$	2.05926	−	0.749510i	0.499444	−	0.181783i	−0.0799997	−	0.996795i	$-0.525492\pi$
$17$	2.05926	−	0.749510i	0.499444	−	0.181783i	0.579444	+	0.815012i	$0.303270\pi$
$18$	−0.500000	+	0.866025i	−0.117851	+	0.204124i
$19$	−4.34574	+	0.338431i	−0.996981	+	0.0776415i
$19$	−4.34574	+	0.338431i	−0.996981	+	0.0776415i
$20$	−2.44842			−0.547483
$21$	−2.27491	−	1.35085i	−0.496426	−	0.294779i
$22$	−1.35728	+	0.494009i	−0.289373	+	0.105323i
$23$	5.45645	−	4.57851i	1.13775	−	0.954685i	0.138386	−	0.990378i	$-0.455808\pi$
$23$	5.45645	−	4.57851i	1.13775	−	0.954685i	0.999363	+	0.0356934i	$0.0113640\pi$
$24$	0.766044	+	0.642788i	0.156368	+	0.131208i
$25$	0.762016	−	0.639408i	0.152403	−	0.127882i
$26$	1.07646	−	1.86448i	0.211110	−	0.365654i
$27$	−0.500000	+	0.866025i	−0.0962250	+	0.166667i
$28$	−1.72536	+	2.00578i	−0.326062	+	0.379056i
$29$	−6.73310	+	5.64974i	−1.25030	+	1.04913i	−0.253659	+	0.967294i	$0.581634\pi$
$29$	−6.73310	+	5.64974i	−1.25030	+	1.04913i	−0.996646	+	0.0818362i	$0.973922\pi$
$30$	−2.44842			−0.447018
$31$	7.91787			1.42209			0.711046	−	0.703146i	$-0.248222\pi$
$31$	7.91787			1.42209			0.711046	+	0.703146i	$0.248222\pi$
$32$	0.766044	−	0.642788i	0.135419	−	0.113630i
$33$	−1.35728	+	0.494009i	−0.236272	+	0.0859960i
$34$	−0.380536	−	2.15813i	−0.0652614	−	0.370116i
$35$	0.0793613	−	6.47741i	0.0134145	−	1.09488i
$36$	0.766044	+	0.642788i	0.127674	+	0.107131i
$37$	−2.58317	−	4.47419i	−0.424671	−	0.735552i	0.571719	−	0.820450i	$-0.306277\pi$
$37$	−2.58317	−	4.47419i	−0.424671	−	0.735552i	−0.996390	+	0.0848981i	$0.972944\pi$
$38$	−0.421340	+	4.33849i	−0.0683504	+	0.703796i
$39$	1.07646	−	1.86448i	0.172371	−	0.298555i
$40$	−0.425163	+	2.41122i	−0.0672242	+	0.381247i
$41$	−8.18163	+	2.97787i	−1.27776	+	0.465065i	−0.889689	−	0.456566i	$-0.849079\pi$
$41$	−8.18163	+	2.97787i	−1.27776	+	0.465065i	−0.388066	+	0.921631i	$0.626857\pi$
$42$	−1.72536	+	2.00578i	−0.266229	+	0.309498i
$43$	−0.0509230	+	0.288799i	−0.00776568	+	0.0440414i	−0.988444	−	0.151584i	$-0.951563\pi$
$43$	−0.0509230	+	0.288799i	−0.00776568	+	0.0440414i	0.980679	+	0.195625i	$0.0626737\pi$
$44$	0.250815	+	1.42244i	0.0378118	+	0.214441i
$45$	−2.44842			−0.364988
$46$	−3.56145	−	6.16861i	−0.525107	−	0.909512i
$47$	7.72727	+	2.81250i	1.12714	+	0.410245i	0.837252	−	0.546817i	$-0.184160\pi$
$47$	7.72727	+	2.81250i	1.12714	+	0.410245i	0.289886	+	0.957061i	$0.406383\pi$
$48$	0.766044	−	0.642788i	0.110569	−	0.0927784i
$49$	−5.25046	−	4.62954i	−0.750066	−	0.661363i
$50$	−0.497371	−	0.861472i	−0.0703389	−	0.121830i
$51$	−0.380536	−	2.15813i	−0.0532857	−	0.302198i
$52$	−1.64923	−	1.38386i	−0.228706	−	0.191908i
$53$	5.55131	+	2.02051i	0.762531	+	0.277538i	0.693869	−	0.720102i	$-0.255905\pi$
$53$	5.55131	+	2.02051i	0.762531	+	0.277538i	0.0686619	+	0.997640i	$0.478127\pi$
$54$	0.766044	+	0.642788i	0.104245	+	0.0874723i
$55$	−2.70909	−	2.27319i	−0.365293	−	0.306517i
$56$	1.67570	+	2.04745i	0.223925	+	0.273601i
$57$	−0.421340	+	4.33849i	−0.0558079	+	0.574647i
$58$	4.39472	+	7.61187i	0.577054	+	0.999488i
$59$	−2.22680	+	0.810487i	−0.289904	+	0.105516i	−0.482879	−	0.875687i	$-0.660409\pi$
$59$	−2.22680	+	0.810487i	−0.289904	+	0.105516i	0.192975	+	0.981204i	$0.438187\pi$
$60$	−0.425163	+	2.41122i	−0.0548883	+	0.311287i
$61$	−2.08337	+	1.74815i	−0.266748	+	0.223828i	−0.766344	−	0.642430i	$-0.777926\pi$
$61$	−2.08337	+	1.74815i	−0.266748	+	0.223828i	0.499596	+	0.866258i	$0.333482\pi$
$62$	1.37492	−	7.79758i	0.174615	−	0.990293i
$63$	−1.72536	+	2.00578i	−0.217375	+	0.252704i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	5.27122			0.653815
$66$	0.250815	+	1.42244i	0.0308732	+	0.175091i
$67$	−2.27109	−	12.8800i	−0.277458	−	1.57354i	−0.731045	−	0.682330i	$-0.760967\pi$
$67$	−2.27109	−	12.8800i	−0.277458	−	1.57354i	0.453587	−	0.891212i	$-0.350144\pi$
$68$	−2.19142			−0.265749
$69$	−3.56145	−	6.16861i	−0.428748	−	0.742613i
$70$	−6.36523	−	1.20295i	−0.760790	−	0.143780i
$71$	−2.50257	+	14.1928i	−0.297000	+	1.68437i	0.361960	+	0.932194i	$0.382108\pi$
$71$	−2.50257	+	14.1928i	−0.297000	+	1.68437i	−0.658960	+	0.752178i	$0.729003\pi$
$72$	0.766044	−	0.642788i	0.0902792	−	0.0757532i
$73$	−0.239732	+	1.35959i	−0.0280585	+	0.159128i	−0.995618	−	0.0935166i	$-0.970189\pi$
$73$	−0.239732	+	1.35959i	−0.0280585	+	0.159128i	0.967559	+	0.252644i	$0.0813003\pi$
$74$	−4.85478	+	1.76699i	−0.564356	+	0.205409i
$75$	−0.497371	−	0.861472i	−0.0574314	−	0.0994742i
$76$	4.19941	+	1.16831i	0.481705	+	0.134014i
$77$	−3.77128	+	0.617439i	−0.429777	+	0.0703637i
$78$	−1.64923	−	1.38386i	−0.186738	−	0.156692i
$79$	−5.56864	−	4.67265i	−0.626521	−	0.525714i	0.273325	−	0.961922i	$-0.411877\pi$
$79$	−5.56864	−	4.67265i	−0.626521	−	0.525714i	−0.899846	+	0.436208i	$0.856321\pi$
$80$	2.30076	+	0.837408i	0.257233	+	0.0936250i
$81$	0.766044	+	0.642788i	0.0851160	+	0.0714208i
$82$	1.51190	+	8.57443i	0.166962	+	0.946888i
$83$	−4.57133	−	7.91777i	−0.501768	−	0.869088i	−0.999998	−	0.00204291i	$-0.999350\pi$
$83$	−4.57133	−	7.91777i	−0.501768	−	0.869088i	0.498230	−	0.867045i	$-0.333984\pi$
$84$	1.67570	+	2.04745i	0.182834	+	0.223395i
$85$	4.11022	−	3.44888i	0.445816	−	0.374084i
$86$	0.275568	+	0.100299i	0.0297153	+	0.0108155i
$87$	4.39472	+	7.61187i	0.471163	+	0.816078i
$88$	1.44439			0.153972
$89$	1.44687	+	8.20562i	0.153368	+	0.869794i	0.960262	+	0.279098i	$0.0900356\pi$
$89$	1.44687	+	8.20562i	0.153368	+	0.869794i	−0.806894	+	0.590696i	$0.798853\pi$
$90$	−0.425163	+	2.41122i	−0.0448161	+	0.254165i
$91$	3.71454	−	4.31826i	0.389390	−	0.452677i
$92$	−6.69333	+	2.43617i	−0.697828	+	0.253989i
$93$	1.37492	−	7.79758i	0.142573	−	0.808571i
$94$	4.11159	−	7.12149i	0.424079	−	0.734526i
$95$	−9.71510	+	4.41781i	−0.996748	+	0.453257i
$96$	−0.500000	−	0.866025i	−0.0510310	−	0.0883883i
$97$	−4.86087	−	4.07876i	−0.493547	−	0.414135i	0.361748	−	0.932276i	$-0.382180\pi$
$97$	−4.86087	−	4.07876i	−0.493547	−	0.414135i	−0.855295	+	0.518141i	$0.826624\pi$
$98$	−5.47094	+	4.36678i	−0.552648	+	0.441112i
$99$	0.250815	+	1.42244i	0.0252079	+	0.142961i
$100$	−0.934752	+	0.340222i	−0.0934752	+	0.0340222i
$101$	1.03984	−	0.872530i	0.103468	−	0.0868200i	−0.589586	−	0.807706i	$-0.700709\pi$
$101$	1.03984	−	0.872530i	0.103468	−	0.0868200i	0.693054	+	0.720886i	$0.256265\pi$
$102$	−2.19142			−0.216983
$103$	14.1472			1.39396			0.696981	−	0.717090i	$-0.254526\pi$
$103$	14.1472			1.39396			0.696981	+	0.717090i	$0.254526\pi$
$104$	−1.64923	+	1.38386i	−0.161720	+	0.135699i
$105$	−6.36523	−	1.20295i	−0.621183	−	0.117396i
$106$	2.95379	−	5.11611i	0.286897	−	0.496921i
$107$	−7.23699	+	12.5348i	−0.699626	+	1.21179i	0.268970	+	0.963149i	$0.413317\pi$
$107$	−7.23699	+	12.5348i	−0.699626	+	1.21179i	−0.968596	+	0.248640i	$0.920017\pi$
$108$	0.766044	−	0.642788i	0.0737127	−	0.0618523i
$109$	15.9893	+	13.4166i	1.53150	+	1.28508i	0.783573	+	0.621300i	$0.213395\pi$
$109$	15.9893	+	13.4166i	1.53150	+	1.28508i	0.747927	+	0.663781i	$0.231049\pi$
$110$	−2.70909	+	2.27319i	−0.258301	+	0.216740i
$111$	−4.85478	+	1.76699i	−0.460795	+	0.167716i
$112$	2.30732	−	1.29471i	0.218021	−	0.122338i
$113$	9.71507			0.913917			0.456959	−	0.889488i	$-0.348939\pi$
$113$	9.71507			0.913917			0.456959	+	0.889488i	$0.348939\pi$
$114$	4.19941	+	1.16831i	0.393311	+	0.109422i
$115$	8.71990	−	15.1033i	0.813135	−	1.40839i
$116$	8.25936	−	3.00616i	0.766863	−	0.279115i
$117$	−1.64923	−	1.38386i	−0.152471	−	0.127938i
$118$	0.411495	+	2.33371i	0.0378812	+	0.214835i
$119$	0.0710312	−	5.79752i	0.00651142	−	0.531458i
$120$	2.30076	+	0.837408i	0.210030	+	0.0764445i
$121$	4.45687	−	7.71953i	0.405170	−	0.701775i
$122$	1.35982	+	2.35528i	0.123112	+	0.213237i
$123$	1.51190	+	8.57443i	0.136324	+	0.773131i
$124$	−7.44036	−	2.70807i	−0.668164	−	0.243192i
$125$	−4.90327	+	8.49271i	−0.438562	+	0.759611i
$126$	1.67570	+	2.04745i	0.149283	+	0.182401i
$127$	15.4327	+	5.61705i	1.36943	+	0.498433i	0.918958	−	0.394356i	$-0.129032\pi$
$127$	15.4327	+	5.61705i	1.36943	+	0.498433i	0.450475	+	0.892789i	$0.351255\pi$
$128$	−0.939693	+	0.342020i	−0.0830579	+	0.0302306i
$129$	0.275568	+	0.100299i	0.0242624	+	0.00883081i
$130$	0.915338	−	5.19114i	0.0802805	−	0.455293i
$131$	−0.932134	+	5.28639i	−0.0814409	+	0.461874i	0.916627	+	0.399743i	$0.130901\pi$
$131$	−0.932134	+	5.28639i	−0.0814409	+	0.461874i	−0.998068	+	0.0621309i	$0.980210\pi$
$132$	1.44439			0.125718
$133$	−3.22694	+	11.0719i	−0.279811	+	0.960055i
$134$	−13.0787			−1.12983
$135$	−0.425163	+	2.41122i	−0.0365922	+	0.207525i
$136$	−0.380536	+	2.15813i	−0.0326307	+	0.185058i
$137$	13.1127	+	4.77265i	1.12030	+	0.407755i	0.834761	−	0.550613i	$-0.185606\pi$
$137$	13.1127	+	4.77265i	1.12030	+	0.407755i	0.285536	+	0.958368i	$0.407828\pi$
$138$	−6.69333	+	2.43617i	−0.569774	+	0.207381i
$139$	7.80364	+	2.84029i	0.661896	+	0.240910i	0.651055	−	0.759031i	$-0.274327\pi$
$139$	7.80364	+	2.84029i	0.661896	+	0.240910i	0.0108411	+	0.999941i	$0.496549\pi$
$140$	−2.28998	+	6.05964i	−0.193539	+	0.512133i
$141$	4.11159	−	7.12149i	0.346259	−	0.599738i
$142$	13.5426	+	4.92910i	1.13647	+	0.413641i
$143$	−0.539983	−	3.06240i	−0.0451556	−	0.256090i
$144$	−0.500000	−	0.866025i	−0.0416667	−	0.0721688i
$145$	−10.7601	+	18.6370i	−0.893577	+	1.54772i
$146$	1.29730	+	0.472180i	0.107366	+	0.0390779i
$147$	−5.47094	+	4.36678i	−0.451236	+	0.360166i
$148$	0.897126	+	5.08786i	0.0737433	+	0.418219i
$149$	0.989334	+	0.830150i	0.0810494	+	0.0680085i	0.682412	−	0.730968i	$-0.260931\pi$
$149$	0.989334	+	0.830150i	0.0810494	+	0.0680085i	−0.601363	+	0.798976i	$0.705375\pi$
$150$	−0.934752	+	0.340222i	−0.0763221	+	0.0277790i
$151$	5.54020	−	9.59590i	0.450855	−	0.780904i	−0.547584	−	0.836750i	$-0.684453\pi$
$151$	5.54020	−	9.59590i	0.450855	−	0.780904i	0.998439	+	0.0558469i	$0.0177859\pi$
$152$	1.87978	−	3.93274i	0.152470	−	0.318987i
$153$	−2.19142			−0.177166
$154$	−0.0468174	+	3.82120i	−0.00377265	+	0.307921i
$155$	18.2171	−	6.63048i	1.46323	−	0.532573i
$156$	−1.64923	+	1.38386i	−0.132044	+	0.110798i
$157$	−7.60183	−	6.37870i	−0.606692	−	0.509075i	0.286897	−	0.957962i	$-0.407376\pi$
$157$	−7.60183	−	6.37870i	−0.606692	−	0.509075i	−0.893589	+	0.448886i	$0.851821\pi$
$158$	−5.56864	+	4.67265i	−0.443017	+	0.371736i
$159$	2.95379	−	5.11611i	0.234251	−	0.405734i
$160$	1.22421	−	2.12039i	0.0967821	−	0.167632i
$161$	−6.22807	−	17.7865i	−0.490841	−	1.40177i
$162$	0.766044	−	0.642788i	0.0601861	−	0.0505022i
$163$	22.5108			1.76319			0.881593	−	0.472011i	$-0.156472\pi$
$163$	22.5108			1.76319			0.881593	+	0.472011i	$0.156472\pi$
$164$	8.70671			0.679880
$165$	−2.70909	+	2.27319i	−0.210902	+	0.176968i
$166$	−8.59128	+	3.12697i	−0.666813	+	0.242700i
$167$	−4.07405	−	23.1051i	−0.315260	−	1.78793i	−0.570760	−	0.821117i	$-0.693351\pi$
$167$	−4.07405	−	23.1051i	−0.315260	−	1.78793i	0.255500	−	0.966809i	$-0.417760\pi$
$168$	2.30732	−	1.29471i	0.178014	−	0.0998887i
$169$	−6.40794	−	5.37690i	−0.492918	−	0.413608i
$170$	−2.68276	−	4.64667i	−0.205758	−	0.356383i
$171$	4.19941	+	1.16831i	0.321137	+	0.0893429i
$172$	0.146627	−	0.253965i	0.0111802	−	0.0193647i
$173$	0.351900	−	1.99573i	0.0267545	−	0.151732i	−0.968504	−	0.248998i	$-0.919899\pi$
$173$	0.351900	−	1.99573i	0.0267545	−	0.151732i	0.995258	+	0.0972660i	$0.0310098\pi$
$174$	8.25936	−	3.00616i	0.626141	−	0.227897i
$175$	−0.869776	−	2.48396i	−0.0657489	−	0.187770i
$176$	0.250815	−	1.42244i	0.0189059	−	0.107221i
$177$	0.411495	+	2.33371i	0.0309299	+	0.175412i
$178$	8.33221			0.624525
$179$	8.21150	+	14.2227i	0.613756	+	1.06306i	0.990601	+	0.136780i	$0.0436755\pi$
$179$	8.21150	+	14.2227i	0.613756	+	1.06306i	−0.376845	+	0.926276i	$0.622991\pi$
$180$	2.30076	+	0.837408i	0.171488	+	0.0624167i
$181$	13.4267	−	11.2663i	0.997996	−	0.837418i	0.0112905	−	0.999936i	$-0.496406\pi$
$181$	13.4267	−	11.2663i	0.997996	−	0.837418i	0.986706	+	0.162518i	$0.0519616\pi$
$182$	−3.60763	−	4.40797i	−0.267415	−	0.326740i
$183$	1.35982	+	2.35528i	0.100521	+	0.174107i
$184$	1.23688	+	7.01468i	0.0911838	+	0.517129i
$185$	−9.68997	−	8.13085i	−0.712421	−	0.597792i
$186$	−7.44036	−	2.70807i	−0.545554	−	0.198565i
$187$	−2.42473	−	2.03459i	−0.177314	−	0.148784i
$188$	−6.29933	−	5.28576i	−0.459426	−	0.385504i
$189$	1.67570	+	2.04745i	0.121889	+	0.148930i
$190$	2.66368	+	10.3346i	0.193244	+	0.749754i
$191$	6.41943	+	11.1188i	0.464494	+	0.804527i	0.999179	−	0.0405247i	$-0.0129030\pi$
$191$	6.41943	+	11.1188i	0.464494	+	0.804527i	−0.534685	+	0.845052i	$0.679570\pi$
$192$	−0.939693	+	0.342020i	−0.0678165	+	0.0246832i
$193$	−1.24265	+	7.04742i	−0.0894479	+	0.507284i	0.906860	+	0.421432i	$0.138472\pi$
$193$	−1.24265	+	7.04742i	−0.0894479	+	0.507284i	−0.996308	+	0.0858522i	$0.972639\pi$
$194$	−4.86087	+	4.07876i	−0.348990	+	0.292838i
$195$	0.915338	−	5.19114i	0.0655487	−	0.371745i
$196$	3.35042	+	6.14611i	0.239316	+	0.439008i
$197$	10.3260	+	17.8852i	0.735697	+	1.27426i	0.954417	+	0.298477i	$0.0964787\pi$
$197$	10.3260	+	17.8852i	0.735697	+	1.27426i	−0.218720	+	0.975788i	$0.570188\pi$
$198$	1.44439			0.102648
$199$	0.189040	+	1.07210i	0.0134007	+	0.0759989i	0.990775	−	0.135519i	$-0.0432703\pi$
$199$	0.189040	+	1.07210i	0.0134007	+	0.0759989i	−0.977374	+	0.211518i	$0.932159\pi$
$200$	0.172735	+	0.979629i	0.0122142	+	0.0692703i
$201$	−13.0787			−0.922500
$202$	−0.678708	−	1.17556i	−0.0477537	−	0.0827119i
$203$	7.68525	+	21.9480i	0.539399	+	1.54045i
$204$	−0.380536	+	2.15813i	−0.0266429	+	0.151099i
$205$	−16.3303	+	13.7027i	−1.14055	+	0.957039i
$206$	2.45663	−	13.9322i	0.171161	−	0.970705i
$207$	−6.69333	+	2.43617i	−0.465219	+	0.169326i
$208$	1.07646	+	1.86448i	0.0746388	+	0.129278i
$209$	3.56180	+	5.19157i	0.246375	+	0.359108i
$210$	−2.28998	+	6.05964i	−0.158024	+	0.418155i
$211$	−7.64948	−	6.41867i	−0.526612	−	0.441880i	0.340318	−	0.940310i	$-0.389465\pi$
$211$	−7.64948	−	6.41867i	−0.526612	−	0.441880i	−0.866929	+	0.498431i	$0.833910\pi$
$212$	−4.52547	−	3.79732i	−0.310810	−	0.260801i
$213$	13.5426	+	4.92910i	0.927923	+	0.337736i
$214$	11.0877	+	9.30369i	0.757940	+	0.635987i
$215$	0.124681	+	0.707099i	0.00850315	+	0.0482237i
$216$	−0.500000	−	0.866025i	−0.0340207	−	0.0589256i
$217$	7.40551	−	19.5961i	0.502719	−	1.33027i
$218$	15.9893	−	13.4166i	1.08293	−	0.908689i
$219$	1.29730	+	0.472180i	0.0876637	+	0.0319070i
$220$	1.76823	+	3.06266i	0.119214	+	0.206485i
$221$	4.71794			0.317363
$222$	0.897126	+	5.08786i	0.0602112	+	0.341475i
$223$	1.79886	−	10.2019i	0.120461	−	0.683167i	−0.863440	−	0.504452i	$-0.831695\pi$
$223$	1.79886	−	10.2019i	0.120461	−	0.683167i	0.983901	−	0.178716i	$-0.0571942\pi$
$224$	−0.874374	−	2.49709i	−0.0584216	−	0.166844i
$225$	−0.934752	+	0.340222i	−0.0623168	+	0.0226814i
$226$	1.68700	−	9.56748i	0.112218	−	0.636419i
$227$	3.32692	−	5.76239i	0.220815	−	0.382463i	−0.734240	−	0.678889i	$-0.762462\pi$
$227$	3.32692	−	5.76239i	0.220815	−	0.382463i	0.955056	+	0.296426i	$0.0957949\pi$
$228$	1.87978	−	3.93274i	0.124491	−	0.260452i
$229$	−3.72509	−	6.45205i	−0.246161	−	0.426364i	0.716296	−	0.697796i	$-0.245836\pi$
$229$	−3.72509	−	6.45205i	−0.246161	−	0.426364i	−0.962457	+	0.271433i	$0.912503\pi$
$230$	−13.3597	−	11.2101i	−0.880911	−	0.739172i
$231$	−0.0468174	+	3.82120i	−0.00308036	+	0.251417i
$232$	−1.52627	−	8.65590i	−0.100204	−	0.568288i
$233$	−6.43263	+	2.34129i	−0.421416	+	0.153383i	−0.544019	−	0.839073i	$-0.683098\pi$
$233$	−6.43263	+	2.34129i	−0.421416	+	0.153383i	0.122603	+	0.992456i	$0.460876\pi$
$234$	−1.64923	+	1.38386i	−0.107813	+	0.0904661i
$235$	20.1338			1.31338
$236$	2.36971			0.154255
$237$	−5.56864	+	4.67265i	−0.361722	+	0.303521i
$238$	−5.69711	−	1.07668i	−0.369289	−	0.0697909i
$239$	0.591393	−	1.02432i	0.0382540	−	0.0662579i	−0.846265	−	0.532763i	$-0.821154\pi$
$239$	0.591393	−	1.02432i	0.0382540	−	0.0662579i	0.884519	+	0.466505i	$0.154487\pi$
$240$	1.22421	−	2.12039i	0.0790223	−	0.136871i
$241$	−8.82680	+	7.40657i	−0.568584	+	0.477099i	−0.881176	−	0.472789i	$-0.843247\pi$
$241$	−8.82680	+	7.40657i	−0.568584	+	0.477099i	0.312591	+	0.949888i	$0.398803\pi$
$242$	−6.82833	−	5.72965i	−0.438941	−	0.368316i
$243$	0.766044	−	0.642788i	0.0491418	−	0.0412348i
$244$	2.55563	−	0.930173i	0.163607	−	0.0595482i
$245$	−15.9569	−	6.25468i	−1.01945	−	0.399597i
$246$	8.70671			0.555119
$247$	−9.04096	−	2.51527i	−0.575263	−	0.160043i
$248$	−3.95893	+	6.85708i	−0.251393	+	0.435425i
$249$	−8.59128	+	3.12697i	−0.544450	+	0.198164i
$250$	7.51224	+	6.30352i	0.475116	+	0.398670i
$251$	−0.373006	−	2.11542i	−0.0235439	−	0.133524i	0.970770	−	0.240011i	$-0.0771510\pi$
$251$	−0.373006	−	2.11542i	−0.0235439	−	0.133524i	−0.994314	+	0.106487i	$0.966040\pi$
$252$	2.30732	−	1.29471i	0.145348	−	0.0815588i
$253$	−9.66776	−	3.51878i	−0.607807	−	0.221224i
$254$	8.21158	−	14.2229i	0.515240	−	0.892422i
$255$	−2.68276	−	4.64667i	−0.168001	−	0.290986i
$256$	0.173648	+	0.984808i	0.0108530	+	0.0615505i
$257$	−9.48281	−	3.45146i	−0.591521	−	0.215296i	0.0288771	−	0.999583i	$-0.490807\pi$
$257$	−9.48281	−	3.45146i	−0.591521	−	0.215296i	−0.620398	+	0.784287i	$0.713029\pi$
$258$	0.146627	−	0.253965i	0.00912859	−	0.0158112i
$259$	−13.4893	+	2.20848i	−0.838183	+	0.137228i
$260$	−4.95333	−	1.80286i	−0.307192	−	0.111809i
$261$	8.25936	−	3.00616i	0.511242	−	0.186077i
$262$	5.04422	+	1.83594i	0.311633	+	0.113425i
$263$	0.346560	−	1.96544i	0.0213698	−	0.121194i	−0.972257	−	0.233916i	$-0.924846\pi$
$263$	0.346560	−	1.96544i	0.0213698	−	0.121194i	0.993627	+	0.112722i	$0.0359570\pi$
$264$	0.250815	−	1.42244i	0.0154366	−	0.0875454i
$265$	14.4642			0.888529
$266$	10.3433	+	5.10053i	0.634191	+	0.312734i
$267$	8.33221			0.509923
$268$	−2.27109	+	12.8800i	−0.138729	+	0.786771i
$269$	0.501879	−	2.84630i	0.0306001	−	0.173542i	−0.965678	−	0.259744i	$-0.916362\pi$
$269$	0.501879	−	2.84630i	0.0306001	−	0.173542i	0.996278	+	0.0862019i	$0.0274730\pi$
$270$	2.30076	+	0.837408i	0.140020	+	0.0509630i
$271$	−11.3247	+	4.12185i	−0.687926	+	0.250385i	−0.662247	−	0.749286i	$-0.730397\pi$
$271$	−11.3247	+	4.12185i	−0.687926	+	0.250385i	−0.0256791	+	0.999670i	$0.508175\pi$
$272$	2.05926	+	0.749510i	0.124861	+	0.0454457i
$273$	−3.60763	−	4.40797i	−0.218344	−	0.266782i
$274$	6.97714	−	12.0848i	0.421505	−	0.730067i
$275$	−1.35014	−	0.491412i	−0.0814167	−	0.0296333i
$276$	1.23688	+	7.01468i	0.0744513	+	0.422234i
$277$	4.01447	+	6.95326i	0.241206	+	0.417781i	0.961058	−	0.276346i	$-0.0891237\pi$
$277$	4.01447	+	6.95326i	0.241206	+	0.417781i	−0.719852	+	0.694127i	$0.755790\pi$
$278$	4.15223	−	7.19187i	0.249034	−	0.431340i
$279$	−7.44036	−	2.70807i	−0.445443	−	0.162128i
$280$	5.56992	+	3.30744i	0.332867	+	0.197657i
$281$	3.17702	+	18.0178i	0.189525	+	1.07485i	0.920002	+	0.391914i	$0.128187\pi$
$281$	3.17702	+	18.0178i	0.189525	+	1.07485i	−0.730477	+	0.682938i	$0.760702\pi$
$282$	−6.29933	−	5.28576i	−0.375120	−	0.314763i
$283$	−13.3455	+	4.85737i	−0.793308	+	0.288741i	−0.706711	−	0.707503i	$-0.749822\pi$
$283$	−13.3455	+	4.85737i	−0.793308	+	0.288741i	−0.0865978	+	0.996243i	$0.527600\pi$
$284$	7.20586	−	12.4809i	0.427589	−	0.740606i
$285$	2.66368	+	10.3346i	0.157783	+	0.612172i
$286$	−3.10964			−0.183877
$287$	−0.282213	+	23.0341i	−0.0166585	+	1.35966i
$288$	−0.939693	+	0.342020i	−0.0553719	+	0.0201537i
$289$	−9.34396	+	7.84051i	−0.549645	+	0.461207i
$290$	16.4854	+	13.8329i	0.968057	+	0.812296i
$291$	−4.86087	+	4.07876i	−0.284949	+	0.239101i
$292$	0.690281	−	1.19560i	0.0403957	−	0.0699673i
$293$	−11.7505	+	20.3525i	−0.686473	+	1.18901i	0.286499	+	0.958081i	$0.407509\pi$
$293$	−11.7505	+	20.3525i	−0.686473	+	1.18901i	−0.972972	+	0.230925i	$0.925825\pi$
$294$	3.35042	+	6.14611i	0.195401	+	0.358448i
$295$	−4.44461	+	3.72947i	−0.258775	+	0.217138i
$296$	5.16634			0.300288
$297$	1.44439			0.0838118
$298$	0.989334	−	0.830150i	0.0573106	−	0.0480893i
$299$	14.4102	−	5.24487i	0.833361	−	0.303318i
$300$	0.172735	+	0.979629i	0.00997287	+	0.0565589i
$301$	0.667126	+	0.396141i	0.0384525	+	0.0228332i
$302$	−8.48807	−	7.12234i	−0.488434	−	0.409845i
$303$	−0.678708	−	1.17556i	−0.0389908	−	0.0675340i
$304$	−3.54657	−	2.53413i	−0.203410	−	0.145343i
$305$	−3.32941	+	5.76671i	−0.190641	+	0.330201i
$306$	−0.380536	+	2.15813i	−0.0217538	+	0.123372i
$307$	−19.4237	+	7.06966i	−1.10857	+	0.403487i	−0.830469	−	0.557065i	$-0.811927\pi$
$307$	−19.4237	+	7.06966i	−1.10857	+	0.403487i	−0.278102	+	0.960552i	$0.589705\pi$
$308$	3.75502	+	0.709651i	0.213962	+	0.0404361i
$309$	2.45663	−	13.9322i	0.139753	−	0.792577i
$310$	−3.36638	−	19.0917i	−0.191198	−	1.08434i
$311$	16.9719			0.962386			0.481193	−	0.876615i	$-0.340204\pi$
$311$	16.9719			0.962386			0.481193	+	0.876615i	$0.340204\pi$
$312$	1.07646	+	1.86448i	0.0609423	+	0.105555i
$313$	−14.3619	−	5.22731i	−0.811783	−	0.295465i	−0.0974231	−	0.995243i	$-0.531060\pi$
$313$	−14.3619	−	5.22731i	−0.811783	−	0.295465i	−0.714360	+	0.699778i	$0.753282\pi$
$314$	−7.60183	+	6.37870i	−0.428996	+	0.359971i
$315$	−2.28998	+	6.05964i	−0.129026	+	0.341422i
$316$	3.63467	+	6.29544i	0.204466	+	0.354146i
$317$	3.69751	+	20.9696i	0.207673	+	1.17777i	0.893178	+	0.449703i	$0.148470\pi$
$317$	3.69751	+	20.9696i	0.207673	+	1.17777i	−0.685506	+	0.728067i	$0.740419\pi$
$318$	−4.52547	−	3.79732i	−0.253776	−	0.212943i
$319$	11.9297	+	4.34206i	0.667936	+	0.243109i
$320$	−1.87560	−	1.57381i	−0.104849	−	0.0879787i
$321$	11.0877	+	9.30369i	0.618856	+	0.519282i
$322$	−18.5978	+	3.04486i	−1.03641	+	0.169683i
$323$	−8.69536	+	3.95410i	−0.483823	+	0.220012i
$324$	−0.500000	−	0.866025i	−0.0277778	−	0.0481125i
$325$	2.01244	−	0.732467i	0.111630	−	0.0406300i
$326$	3.90897	−	22.1689i	0.216498	−	1.22782i
$327$	15.9893	−	13.4166i	0.884212	−	0.741942i
$328$	1.51190	−	8.57443i	0.0834809	−	0.473444i
$329$	14.1879	−	16.4939i	0.782207	−	0.909337i
$330$	1.76823	+	3.06266i	0.0973379	+	0.168594i
$331$	12.4838			0.686171			0.343085	−	0.939304i	$-0.388528\pi$
$331$	12.4838			0.686171			0.343085	+	0.939304i	$0.388528\pi$
$332$	1.58760	+	9.00375i	0.0871311	+	0.494145i
$333$	0.897126	+	5.08786i	0.0491622	+	0.278813i
$334$	−23.4615			−1.28376
$335$	−16.0110	−	27.7319i	−0.874776	−	1.51516i
$336$	−0.874374	−	2.49709i	−0.0477010	−	0.136228i
$337$	−4.04252	+	22.9263i	−0.220210	+	1.24887i	0.651423	+	0.758715i	$0.274172\pi$
$337$	−4.04252	+	22.9263i	−0.220210	+	1.24887i	−0.871633	+	0.490159i	$0.836939\pi$
$338$	−6.40794	+	5.37690i	−0.348546	+	0.292465i
$339$	1.68700	−	9.56748i	0.0916255	−	0.519634i
$340$	−5.04193	+	1.83511i	−0.273437	+	0.0995230i
$341$	−5.71823	−	9.90427i	−0.309660	−	0.536346i
$342$	1.87978	−	3.93274i	0.101647	−	0.212658i
$343$	−16.3685	+	8.66451i	−0.883813	+	0.467839i
$344$	−0.224645	−	0.188500i	−0.0121121	−	0.0101632i
$345$	−13.3597	−	11.2101i	−0.719260	−	0.603531i
$346$	−1.90430	−	0.693108i	−0.102376	−	0.0372617i
$347$	−11.5622	−	9.70183i	−0.620691	−	0.520822i	0.277330	−	0.960775i	$-0.410551\pi$
$347$	−11.5622	−	9.70183i	−0.620691	−	0.520822i	−0.898021	+	0.439953i	$0.854995\pi$
$348$	−1.52627	−	8.65590i	−0.0818166	−	0.464005i
$349$	−5.64115	−	9.77076i	−0.301964	−	0.523017i	0.674617	−	0.738168i	$-0.264309\pi$
$349$	−5.64115	−	9.77076i	−0.301964	−	0.523017i	−0.976581	+	0.215151i	$0.930976\pi$
$350$	−2.59726	+	0.425227i	−0.138829	+	0.0227293i
$351$	−1.64923	+	1.38386i	−0.0880292	+	0.0738652i
$352$	−1.35728	−	0.494009i	−0.0723433	−	0.0263308i
$353$	−1.73534	−	3.00570i	−0.0923628	−	0.159977i	0.816142	−	0.577851i	$-0.196109\pi$
$353$	−1.73534	−	3.00570i	−0.0923628	−	0.159977i	−0.908505	+	0.417874i	$0.862775\pi$
$354$	2.36971			0.125948
$355$	6.12733	+	34.7498i	0.325205	+	1.84433i
$356$	1.44687	−	8.20562i	0.0766841	−	0.434897i
$357$	−5.69711	−	1.07668i	−0.301523	−	0.0569840i
$358$	15.4326	−	5.61699i	0.815636	−	0.296867i
$359$	2.01511	−	11.4282i	0.106353	−	0.603159i	−0.884318	−	0.466885i	$-0.845376\pi$
$359$	2.01511	−	11.4282i	0.106353	−	0.603159i	0.990671	−	0.136274i	$-0.0435127\pi$
$360$	1.22421	−	2.12039i	0.0645214	−	0.111754i
$361$	18.7709	−	2.94147i	0.987944	−	0.154814i
$362$	−8.76363	−	15.1791i	−0.460606	−	0.797794i
$363$	−6.82833	−	5.72965i	−0.358394	−	0.300728i
$364$	−4.96746	+	2.78739i	−0.260366	+	0.146099i
$365$	0.586964	+	3.32884i	0.0307231	+	0.174239i
$366$	2.55563	−	0.930173i	0.133585	−	0.0486209i
$367$	−15.8640	+	13.3114i	−0.828092	+	0.694852i	−0.954852	−	0.297082i	$-0.903987\pi$
$367$	−15.8640	+	13.3114i	−0.828092	+	0.694852i	0.126760	+	0.991933i	$0.459542\pi$
$368$	7.12289			0.371307
$369$	8.70671			0.453253
$370$	−9.68997	+	8.13085i	−0.503758	+	0.422703i
$371$	10.1927	−	11.8493i	0.529178	−	0.615184i
$372$	−3.95893	+	6.85708i	−0.205261	+	0.355523i
$373$	2.39284	−	4.14451i	0.123896	−	0.214595i	−0.797405	−	0.603445i	$-0.793794\pi$
$373$	2.39284	−	4.14451i	0.123896	−	0.214595i	0.921301	+	0.388850i	$0.127128\pi$
$374$	−2.42473	+	2.03459i	−0.125380	+	0.105206i
$375$	7.51224	+	6.30352i	0.387931	+	0.325512i
$376$	−6.29933	+	5.28576i	−0.324863	+	0.272592i
$377$	−17.7817	+	6.47200i	−0.915803	+	0.333325i
$378$	2.30732	−	1.29471i	0.118676	−	0.0665925i
$379$	−29.2962			−1.50484			−0.752422	−	0.658682i	$-0.771114\pi$
$379$	−29.2962			−1.50484			−0.752422	+	0.658682i	$0.771114\pi$
$380$	10.6402	−	0.828621i	0.545830	−	0.0425073i
$381$	8.21158	−	14.2229i	0.420692	−	0.728660i
$382$	12.0646	−	4.39115i	0.617278	−	0.224671i
$383$	6.09261	+	5.11231i	0.311318	+	0.261227i	0.785037	−	0.619449i	$-0.212644\pi$
$383$	6.09261	+	5.11231i	0.311318	+	0.261227i	−0.473718	+	0.880676i	$0.657089\pi$
$384$	0.173648	+	0.984808i	0.00886145	+	0.0502558i
$385$	−8.15976	+	4.57868i	−0.415860	+	0.233351i
$386$	6.72457	+	2.44754i	0.342271	+	0.124577i
$387$	0.146627	−	0.253965i	0.00745346	−	0.0129098i
$388$	3.17271	+	5.49530i	0.161070	+	0.278981i
$389$	−2.56026	−	14.5200i	−0.129810	−	0.736191i	−0.978334	−	0.207033i	$-0.933619\pi$
$389$	−2.56026	−	14.5200i	−0.129810	−	0.736191i	0.848524	−	0.529158i	$-0.177492\pi$
$390$	−4.95333	−	1.80286i	−0.250822	−	0.0912916i
$391$	7.80463	−	13.5180i	0.394697	−	0.683635i
$392$	6.63453	−	2.23226i	0.335094	−	0.112746i
$393$	5.04422	+	1.83594i	0.254447	+	0.0926112i
$394$	19.4065	−	7.06340i	0.977687	−	0.355849i
$395$	−16.7250	−	6.08741i	−0.841527	−	0.306291i
$396$	0.250815	−	1.42244i	0.0126039	−	0.0714805i
$397$	1.83105	−	10.3844i	0.0918977	−	0.521178i	−0.903756	−	0.428048i	$-0.859202\pi$
$397$	1.83105	−	10.3844i	0.0918977	−	0.521178i	0.995654	−	0.0931304i	$-0.0296873\pi$
$398$	1.08864			0.0545683
$399$	10.3433	+	5.10053i	0.517814	+	0.255346i
$400$	0.994742			0.0497371
$401$	0.323726	−	1.83594i	0.0161661	−	0.0916825i	−0.975657	−	0.219301i	$-0.929622\pi$
$401$	0.323726	−	1.83594i	0.0161661	−	0.0916825i	0.991823	+	0.127619i	$0.0407334\pi$
$402$	−2.27109	+	12.8800i	−0.113272	+	0.642396i
$403$	16.0184	+	5.83024i	0.797936	+	0.290425i
$404$	−1.27555	+	0.464264i	−0.0634612	+	0.0230980i
$405$	2.30076	+	0.837408i	0.114326	+	0.0416111i
$406$	22.9491	−	3.75726i	1.13895	−	0.186470i
$407$	−3.73110	+	6.46246i	−0.184944	+	0.320332i
$408$	2.05926	+	0.749510i	0.101949	+	0.0371063i
$409$	−2.57520	−	14.6047i	−0.127335	−	0.722154i	−0.979893	−	0.199522i	$-0.936061\pi$
$409$	−2.57520	−	14.6047i	−0.127335	−	0.722154i	0.852558	−	0.522632i	$-0.175050\pi$
$410$	10.6588	+	18.4616i	0.526402	+	0.911754i
$411$	6.97714	−	12.0848i	0.344157	−	0.596098i
$412$	−13.2940	−	4.83861i	−0.654948	−	0.238381i
$413$	−0.0768101	+	6.26918i	−0.00377958	+	0.308486i
$414$	1.23688	+	7.01468i	0.0607892	+	0.344753i
$415$	−17.1479	−	14.3888i	−0.841758	−	0.706319i
$416$	2.02308	−	0.736339i	0.0991894	−	0.0361020i
$417$	4.15223	−	7.19187i	0.203335	−	0.352187i
$418$	5.73120	−	2.60618i	0.280322	−	0.127473i
$419$	−31.7598			−1.55157			−0.775785	−	0.630997i	$-0.782646\pi$
$419$	−31.7598			−1.55157			−0.775785	+	0.630997i	$0.782646\pi$
$420$	5.56992	+	3.30744i	0.271784	+	0.161386i
$421$	−21.0403	+	7.65804i	−1.02544	+	0.373230i	−0.799343	−	0.600874i	$-0.794819\pi$
$421$	−21.0403	+	7.65804i	−1.02544	+	0.373230i	−0.226098	+	0.974105i	$0.572597\pi$
$422$	−7.64948	+	6.41867i	−0.372371	+	0.312456i
$423$	−6.29933	−	5.28576i	−0.306284	−	0.257003i
$424$	−4.52547	+	3.79732i	−0.219776	+	0.184414i
$425$	1.08995	−	1.88785i	0.0528703	−	0.0915740i
$426$	7.20586	−	12.4809i	0.349125	−	0.604702i
$427$	2.37798	+	6.79120i	0.115079	+	0.328649i
$428$	11.0877	−	9.30369i	0.535945	−	0.449711i
$429$	−3.10964			−0.150135
$430$	0.718007			0.0346254
$431$	−0.373225	+	0.313173i	−0.0179776	+	0.0150850i	−0.651732	−	0.758449i	$-0.725957\pi$
$431$	−0.373225	+	0.313173i	−0.0179776	+	0.0150850i	0.633755	+	0.773534i	$0.281513\pi$
$432$	−0.939693	+	0.342020i	−0.0452110	+	0.0164555i
$433$	2.29219	+	12.9997i	0.110156	+	0.624725i	0.989035	+	0.147681i	$0.0471807\pi$
$433$	2.29219	+	12.9997i	0.110156	+	0.624725i	−0.878879	+	0.477044i	$0.841708\pi$
$434$	−18.0124	−	10.6958i	−0.864624	−	0.513416i
$435$	16.4854	+	13.8329i	0.790415	+	0.663237i
$436$	−10.4363	−	18.0762i	−0.499808	−	0.865692i
$437$	−22.1628	+	21.7436i	−1.06019	+	1.04014i
$438$	0.690281	−	1.19560i	0.0329829	−	0.0571281i
$439$	−2.73476	+	15.5096i	−0.130523	+	0.740232i	0.847351	+	0.531034i	$0.178196\pi$
$439$	−2.73476	+	15.5096i	−0.130523	+	0.740232i	−0.977873	+	0.209198i	$0.932915\pi$
$440$	3.32319	−	1.20954i	0.158427	−	0.0576626i
$441$	3.35042	+	6.14611i	0.159544	+	0.292672i
$442$	0.819261	−	4.64626i	0.0389683	−	0.221000i
$443$	0.861852	+	4.88781i	0.0409478	+	0.232227i	0.998413	−	0.0563236i	$-0.0179378\pi$
$443$	0.861852	+	4.88781i	0.0409478	+	0.232227i	−0.957465	+	0.288550i	$0.906827\pi$
$444$	5.16634			0.245184
$445$	10.2004	+	17.6675i	0.483543	+	0.837522i
$446$	−9.73450	−	3.54307i	−0.460942	−	0.167769i
$447$	0.989334	−	0.830150i	0.0467939	−	0.0392647i
$448$	−2.61099	+	0.427475i	−0.123358	+	0.0201963i
$449$	−3.26793	−	5.66022i	−0.154223	−	0.267122i	0.778553	−	0.627579i	$-0.215954\pi$
$449$	−3.26793	−	5.66022i	−0.154223	−	0.267122i	−0.932776	+	0.360457i	$0.882621\pi$
$450$	0.172735	+	0.979629i	0.00814281	+	0.0461802i
$451$	9.63366	+	8.08360i	0.453632	+	0.380642i
$452$	−9.12918	−	3.32275i	−0.429401	−	0.156289i
$453$	−8.48807	−	7.12234i	−0.398805	−	0.334637i
$454$	−5.09713	−	4.27700i	−0.239220	−	0.200730i
$455$	4.93013	−	13.0459i	0.231128	−	0.611599i
$456$	−3.54657	−	2.53413i	−0.166083	−	0.118672i
$457$	−17.7361	−	30.7198i	−0.829660	−	1.43701i	−0.898305	−	0.439372i	$-0.855201\pi$
$457$	−17.7361	−	30.7198i	−0.829660	−	1.43701i	0.0686453	−	0.997641i	$-0.478132\pi$
$458$	−7.00089	+	2.54811i	−0.327130	+	0.119066i
$459$	−0.380536	+	2.15813i	−0.0177619	+	0.100733i
$460$	−13.3597	+	11.2101i	−0.622898	+	0.522673i
$461$	3.78298	−	21.4543i	0.176191	−	0.999228i	−0.760569	−	0.649257i	$-0.775080\pi$
$461$	3.78298	−	21.4543i	0.176191	−	0.999228i	0.936760	−	0.349972i	$-0.113809\pi$
$462$	3.75502	+	0.709651i	0.174699	+	0.0330159i
$463$	−6.65570	−	11.5280i	−0.309317	−	0.535752i	0.668896	−	0.743356i	$-0.266767\pi$
$463$	−6.65570	−	11.5280i	−0.309317	−	0.535752i	−0.978213	+	0.207603i	$0.933434\pi$
$464$	−8.78943			−0.408039
$465$	−3.36638	−	19.0917i	−0.156112	−	0.885357i
$466$	1.18870	+	6.74147i	0.0550656	+	0.312293i
$467$	−28.9226			−1.33838			−0.669189	−	0.743092i	$-0.733358\pi$
$467$	−28.9226			−1.33838			−0.669189	+	0.743092i	$0.733358\pi$
$468$	1.07646	+	1.86448i	0.0497592	+	0.0861854i
$469$	−34.0011	−	6.42577i	−1.57002	−	0.296715i
$470$	3.49620	−	19.8279i	0.161267	−	0.914593i
$471$	−7.60183	+	6.37870i	−0.350274	+	0.293915i
$472$	0.411495	−	2.33371i	0.0189406	−	0.107417i
$473$	0.398027	−	0.144870i	0.0183013	−	0.00666113i
$474$	3.63467	+	6.29544i	0.166946	+	0.289159i
$475$	−3.09513	+	3.03659i	−0.142014	+	0.139328i
$476$	−2.04962	+	5.42359i	−0.0939440	+	0.248590i
$477$	−4.52547	−	3.79732i	−0.207207	−	0.173867i
$478$	−0.906066	−	0.760280i	−0.0414425	−	0.0347744i
$479$	−24.5565	−	8.93784i	−1.12202	−	0.408380i	−0.286628	−	0.958042i	$-0.592534\pi$
$479$	−24.5565	−	8.93784i	−1.12202	−	0.408380i	−0.835387	+	0.549661i	$0.814757\pi$
$480$	−1.87560	−	1.57381i	−0.0856088	−	0.0718343i
$481$	−1.93143	−	10.9537i	−0.0880658	−	0.499446i
$482$	5.76129	+	9.97884i	0.262419	+	0.454524i
$483$	−18.5978	+	3.04486i	−0.846229	+	0.138546i
$484$	−6.82833	+	5.72965i	−0.310378	+	0.260438i
$485$	−14.5993	−	5.31370i	−0.662919	−	0.241283i
$486$	−0.500000	−	0.866025i	−0.0226805	−	0.0392837i
$487$	−3.94447			−0.178741			−0.0893704	−	0.995998i	$-0.528485\pi$
$487$	−3.94447			−0.178741			−0.0893704	+	0.995998i	$0.528485\pi$
$488$	−0.472261	−	2.67833i	−0.0213783	−	0.121242i
$489$	3.90897	−	22.1689i	0.176770	−	1.00251i
$490$	−8.93054	+	14.6283i	−0.403441	+	0.660840i
$491$	8.93943	−	3.25369i	0.403431	−	0.146837i	−0.132332	−	0.991205i	$-0.542246\pi$
$491$	8.93943	−	3.25369i	0.403431	−	0.146837i	0.535763	+	0.844369i	$0.320024\pi$
$492$	1.51190	−	8.57443i	0.0681619	−	0.386565i
$493$	−9.63067	+	16.6808i	−0.433744	+	0.751266i
$494$	−4.04700	+	8.46684i	−0.182083	+	0.380941i
$495$	1.76823	+	3.06266i	0.0794760	+	0.137657i
$496$	6.06544	+	5.08951i	0.272346	+	0.228526i
$497$	32.7853	+	19.4680i	1.47062	+	0.873260i
$498$	1.58760	+	9.00375i	0.0711423	+	0.403468i
$499$	25.1051	−	9.13751i	1.12386	−	0.409051i	0.287800	−	0.957691i	$-0.407076\pi$
$499$	25.1051	−	9.13751i	1.12386	−	0.409051i	0.836059	+	0.548639i	$0.184854\pi$
$500$	7.51224	−	6.30352i	0.335958	−	0.281902i
$501$	−23.4615			−1.04818
$502$	−2.14806			−0.0958724
$503$	28.7304	−	24.1076i	1.28102	−	1.07491i	0.287921	−	0.957654i	$-0.407036\pi$
$503$	28.7304	−	24.1076i	1.28102	−	1.07491i	0.993102	−	0.117252i	$-0.0374086\pi$
$504$	−0.874374	−	2.49709i	−0.0389477	−	0.111229i
$505$	1.66176	−	2.87825i	0.0739473	−	0.128081i
$506$	−5.14411	+	8.90986i	−0.228684	+	0.396091i
$507$	−6.40794	+	5.37690i	−0.284587	+	0.238797i
$508$	−12.5809	−	10.5566i	−0.558186	−	0.468374i
$509$	−26.3434	+	22.1047i	−1.16765	+	0.979776i	−0.999982	−	0.00606750i	$-0.998069\pi$
$509$	−26.3434	+	22.1047i	−1.16765	+	0.979776i	−0.167670	+	0.985843i	$0.553624\pi$
$510$	−5.04193	+	1.83511i	−0.223260	+	0.0812602i
$511$	3.14066	+	1.86493i	0.138934	+	0.0824996i
$512$	1.00000			0.0441942
$513$	1.87978	−	3.93274i	0.0829943	−	0.173635i
$514$	−5.04570	+	8.73940i	−0.222556	+	0.385479i
$515$	32.5492	−	11.8469i	1.43429	−	0.522039i
$516$	−0.224645	−	0.188500i	−0.00988946	−	0.00829824i
$517$	−2.06250	−	11.6970i	−0.0907087	−	0.514434i
$518$	−0.167458	+	13.6678i	−0.00735770	+	0.600530i
$519$	−1.90430	−	0.693108i	−0.0835895	−	0.0304241i
$520$	−2.63561	+	4.56501i	−0.115579	+	0.200189i
$521$	9.15620	+	15.8590i	0.401140	+	0.694796i	0.993864	−	0.110611i	$-0.0352806\pi$
$521$	9.15620	+	15.8590i	0.401140	+	0.694796i	−0.592723	+	0.805406i	$0.701947\pi$
$522$	−1.52627	−	8.65590i	−0.0668030	−	0.378858i
$523$	22.7966	+	8.29729i	0.996827	+	0.362815i	0.788360	−	0.615214i	$-0.210930\pi$
$523$	22.7966	+	8.29729i	0.996827	+	0.362815i	0.208467	+	0.978029i	$0.433153\pi$
$524$	2.68397	−	4.64878i	0.117250	−	0.203083i
$525$	−2.59726	+	0.425227i	−0.113354	+	0.0185584i
$526$	−1.87540	−	0.682590i	−0.0817714	−	0.0297623i
$527$	16.3050	−	5.93452i	0.710256	−	0.258512i
$528$	−1.35728	−	0.494009i	−0.0590680	−	0.0214990i
$529$	4.81624	−	27.3143i	0.209402	−	1.18758i
$530$	2.51168	−	14.2445i	0.109101	−	0.618740i
$531$	2.36971			0.102836
$532$	6.81914	−	9.30050i	0.295647	−	0.403228i
$533$	−18.7448			−0.811926
$534$	1.44687	−	8.20562i	0.0626123	−	0.355092i
$535$	−6.15380	+	34.8999i	−0.266052	+	1.50886i
$536$	12.2899	+	4.47318i	0.530845	+	0.193212i
$537$	15.4326	−	5.61699i	0.665964	−	0.242391i
$538$	−2.71591	−	0.988509i	−0.117091	−	0.0426177i
$539$	−1.99913	+	9.91110i	−0.0861087	+	0.426901i
$540$	1.22421	−	2.12039i	0.0526815	−	0.0912471i
$541$	−19.7908	−	7.20326i	−0.850873	−	0.309692i	−0.120477	−	0.992716i	$-0.538442\pi$
$541$	−19.7908	−	7.20326i	−0.850873	−	0.309692i	−0.730396	+	0.683024i	$0.760664\pi$
$542$	2.09272	+	11.8684i	0.0898900	+	0.509791i
$543$	−8.76363	−	15.1791i	−0.376083	−	0.651396i
$544$	1.09571	−	1.89783i	0.0469782	−	0.0813686i
$545$	48.0228	+	17.4789i	2.05707	+	0.748712i
$546$	−4.96746	+	2.78739i	−0.212588	+	0.119289i
$547$	−4.57163	−	25.9270i	−0.195469	−	1.10856i	−0.911750	−	0.410746i	$-0.865268\pi$
$547$	−4.57163	−	25.9270i	−0.195469	−	1.10856i	0.716281	−	0.697812i	$-0.245843\pi$
$548$	−10.6896	−	8.96964i	−0.456637	−	0.383164i
$549$	2.55563	−	0.930173i	0.109072	−	0.0396988i
$550$	−0.718396	+	1.24430i	−0.0306325	+	0.0530571i
$551$	27.3482	−	26.8310i	1.16507	−	1.14304i
$552$	7.12289			0.303171
$553$	−16.7727	+	9.41166i	−0.713249	+	0.400225i
$554$	7.54473	−	2.74606i	0.320545	−	0.116669i
$555$	−9.68997	+	8.13085i	−0.411316	+	0.345135i
$556$	−6.36158	−	5.33800i	−0.269791	−	0.226382i
$557$	−22.4641	+	18.8496i	−0.951835	+	0.798684i	−0.979606	−	0.200930i	$-0.935604\pi$
$557$	−22.4641	+	18.8496i	−0.951835	+	0.798684i	0.0277707	+	0.999614i	$0.491159\pi$
$558$	−3.95893	+	6.85708i	−0.167595	+	0.290283i
$559$	−0.315675	+	0.546765i	−0.0133516	+	0.0231257i
$560$	4.22440	−	4.91097i	0.178513	−	0.207527i
$561$	−2.42473	+	2.03459i	−0.102372	+	0.0859005i
$562$	18.2957			0.771760
$563$	−24.6023			−1.03686			−0.518432	−	0.855119i	$-0.673484\pi$
$563$	−24.6023			−1.03686			−0.518432	+	0.855119i	$0.673484\pi$
$564$	−6.29933	+	5.28576i	−0.265250	+	0.222571i
$565$	22.3520	−	8.13548i	0.940357	−	0.342262i
$566$	2.46615	+	13.9862i	0.103660	+	0.587885i
$567$	2.30732	−	1.29471i	0.0968984	−	0.0543725i
$568$	−11.0400	−	9.26367i	−0.463229	−	0.388695i
$569$	3.57052	+	6.18433i	0.149684	+	0.259261i	0.931111	−	0.364737i	$-0.118841\pi$
$569$	3.57052	+	6.18433i	0.149684	+	0.259261i	−0.781427	+	0.623997i	$0.785508\pi$
$570$	10.6402	−	0.828621i	0.445668	−	0.0347071i
$571$	16.0954	−	27.8780i	0.673570	−	1.16666i	−0.303314	−	0.952891i	$-0.598093\pi$
$571$	16.0954	−	27.8780i	0.673570	−	1.16666i	0.976885	−	0.213768i	$-0.0685735\pi$
$572$	−0.539983	+	3.06240i	−0.0225778	+	0.128045i
$573$	12.0646	−	4.39115i	0.504005	−	0.183443i
$574$	22.6351	+	4.27775i	0.944771	+	0.178550i
$575$	1.23037	−	6.97780i	0.0513101	−	0.290994i
$576$	0.173648	+	0.984808i	0.00723534	+	0.0410337i
$577$	22.7602			0.947521			0.473761	−	0.880654i	$-0.342896\pi$
$577$	22.7602			0.947521			0.473761	+	0.880654i	$0.342896\pi$
$578$	6.09884	+	10.5635i	0.253678	+	0.439383i
$579$	6.72457	+	2.44754i	0.279463	+	0.101716i
$580$	16.4854	−	13.8329i	0.684520	−	0.574380i
$581$	−23.8714	+	3.90825i	−0.990351	+	0.162142i
$582$	3.17271	+	5.49530i	0.131513	+	0.227787i
$583$	−1.48171	−	8.40320i	−0.0613662	−	0.348025i
$584$	−1.05757	−	0.887409i	−0.0437627	−	0.0367212i
$585$	−4.95333	−	1.80286i	−0.204795	−	0.0745393i
$586$	18.0028	+	15.1062i	0.743691	+	0.624030i
$587$	10.5208	+	8.82804i	0.434242	+	0.364372i	0.833549	−	0.552445i	$-0.186305\pi$
$587$	10.5208	+	8.82804i	0.434242	+	0.364372i	−0.399308	+	0.916817i	$0.630749\pi$
$588$	6.63453	−	2.23226i	0.273603	−	0.0920570i
$589$	−34.4090	+	2.67965i	−1.41780	+	0.110413i
$590$	2.90101	+	5.02470i	0.119433	+	0.206864i
$591$	19.4065	−	7.06340i	0.798278	−	0.290550i
$592$	0.897126	−	5.08786i	0.0368717	−	0.209110i
$593$	13.1389	−	11.0248i	0.539550	−	0.452736i	−0.331834	−	0.943338i	$-0.607667\pi$
$593$	13.1389	−	11.0248i	0.539550	−	0.452736i	0.871384	+	0.490602i	$0.163223\pi$
$594$	0.250815	−	1.42244i	0.0102911	−	0.0583636i
$595$	−4.69146	−	13.3982i	−0.192331	−	0.549272i
$596$	−0.645742	−	1.11846i	−0.0264506	−	0.0458138i
$597$	1.08864			0.0445549
$598$	−2.66289	−	15.1020i	−0.108894	−	0.617566i
$599$	−5.40638	−	30.6611i	−0.220899	−	1.25278i	−0.870372	−	0.492395i	$-0.836122\pi$
$599$	−5.40638	−	30.6611i	−0.220899	−	1.25278i	0.649473	−	0.760385i	$-0.274990\pi$
$600$	0.994742			0.0406102
$601$	15.4128	+	26.6957i	0.628700	+	1.08894i	0.987813	+	0.155647i	$0.0497461\pi$
$601$	15.4128	+	26.6957i	0.628700	+	1.08894i	−0.359112	+	0.933294i	$0.616921\pi$
$602$	0.505968	−	0.588201i	0.0206217	−	0.0239733i
$603$	−2.27109	+	12.8800i	−0.0924860	+	0.524514i
$604$	−8.48807	+	7.12234i	−0.345375	+	0.289804i
$605$	3.78980	−	21.4930i	0.154077	−	0.873815i
$606$	−1.27555	+	0.464264i	−0.0518158	+	0.0188594i
$607$	16.2669	+	28.1751i	0.660252	+	1.14359i	0.980549	+	0.196273i	$0.0628839\pi$
$607$	16.2669	+	28.1751i	0.660252	+	1.14359i	−0.320297	+	0.947317i	$0.603783\pi$
$608$	−3.11149	+	3.05264i	−0.126188	+	0.123801i
$609$	22.9491	−	3.75726i	0.929945	−	0.152252i
$610$	5.10095	+	4.28021i	0.206531	+	0.173300i
$611$	13.5619	+	11.3798i	0.548656	+	0.460377i
$612$	2.05926	+	0.749510i	0.0832407	+	0.0302972i
$613$	5.40652	+	4.53661i	0.218367	+	0.183232i	0.745409	−	0.666608i	$-0.232254\pi$
$613$	5.40652	+	4.53661i	0.218367	+	0.183232i	−0.527042	+	0.849840i	$0.676699\pi$
$614$	3.58936	+	20.3563i	0.144855	+	0.821512i
$615$	10.6588	+	18.4616i	0.429805	+	0.744444i
$616$	1.35092	−	3.57474i	0.0544302	−	0.144031i
$617$	−25.9018	+	21.7342i	−1.04277	+	0.874986i	−0.992315	−	0.123741i	$-0.960511\pi$
$617$	−25.9018	+	21.7342i	−1.04277	+	0.874986i	−0.0504528	+	0.998726i	$0.516066\pi$
$618$	−13.2940	−	4.83861i	−0.534762	−	0.194638i
$619$	−6.47454	−	11.2142i	−0.260234	−	0.450738i	0.706070	−	0.708142i	$-0.250466\pi$
$619$	−6.47454	−	11.2142i	−0.260234	−	0.450738i	−0.966304	+	0.257404i	$0.917133\pi$
$620$	−19.3862			−0.778570
$621$	1.23688	+	7.01468i	0.0496342	+	0.281489i
$622$	2.94713	−	16.7140i	0.118169	−	0.670171i
$623$	21.6615	+	4.09375i	0.867850	+	0.164013i
$624$	2.02308	−	0.736339i	0.0809878	−	0.0294772i
$625$	−5.03305	+	28.5439i	−0.201322	+	1.14175i
$626$	−7.64182	+	13.2360i	−0.305428	+	0.529017i
$627$	5.73120	−	2.60618i	0.228882	−	0.104081i
$628$	4.96174	+	8.59399i	0.197995	+	0.342938i
$629$	−8.67288	−	7.27741i	−0.345810	−	0.290169i
$630$	5.56992	+	3.30744i	0.221911	+	0.131771i
$631$	6.45549	+	36.6109i	0.256989	+	1.45746i	0.790915	+	0.611927i	$0.209605\pi$
$631$	6.45549	+	36.6109i	0.256989	+	1.45746i	−0.533925	+	0.845532i	$0.679284\pi$
$632$	6.83095	−	2.48626i	0.271721	−	0.0988982i
$633$	−7.64948	+	6.41867i	−0.304039	+	0.255119i
$634$	21.2931			0.845657
$635$	40.2107			1.59571
$636$	−4.52547	+	3.79732i	−0.179446	+	0.150573i
$637$	−7.21317	−	13.2320i	−0.285796	−	0.524272i
$638$	6.34767	−	10.9945i	0.251307	−	0.435276i
$639$	7.20586	−	12.4809i	0.285059	−	0.493737i
$640$	−1.87560	+	1.57381i	−0.0741394	+	0.0622104i
$641$	16.7748	+	14.0757i	0.662565	+	0.555958i	0.910854	−	0.412728i	$-0.135424\pi$
$641$	16.7748	+	14.0757i	0.662565	+	0.555958i	−0.248289	+	0.968686i	$0.579868\pi$
$642$	11.0877	−	9.30369i	0.437597	−	0.367188i
$643$	−37.9806	+	13.8238i	−1.49781	+	0.545158i	−0.955493	−	0.295015i	$-0.904675\pi$
$643$	−37.9806	+	13.8238i	−1.49781	+	0.545158i	−0.542317	+	0.840174i	$0.682453\pi$
$644$	−0.230877	+	18.8440i	−0.00909782	+	0.742557i
$645$	0.718007			0.0282715
$646$	2.38409	+	9.24988i	0.0938008	+	0.363932i
$647$	9.23335	−	15.9926i	0.363001	−	0.628736i	−0.625453	−	0.780262i	$-0.715086\pi$
$647$	9.23335	−	15.9926i	0.363001	−	0.628736i	0.988453	+	0.151527i	$0.0484190\pi$
$648$	−0.939693	+	0.342020i	−0.0369146	+	0.0134358i
$649$	2.62200	+	2.20012i	0.102922	+	0.0863621i
$650$	−0.371883	−	2.10906i	−0.0145865	−	0.0827240i
$651$	−18.0124	−	10.6958i	−0.705963	−	0.419203i
$652$	−21.1533	−	7.69916i	−0.828426	−	0.301522i
$653$	21.7635	−	37.6955i	0.851673	−	1.47514i	−0.0280250	−	0.999607i	$-0.508922\pi$
$653$	21.7635	−	37.6955i	0.851673	−	1.47514i	0.879698	−	0.475533i	$-0.157745\pi$
$654$	−10.4363	−	18.0762i	−0.408091	−	0.706835i
$655$	2.28225	+	12.9433i	0.0891749	+	0.505736i
$656$	−8.18163	−	2.97787i	−0.319439	−	0.116266i
$657$	0.690281	−	1.19560i	0.0269304	−	0.0466449i
$658$	−13.7796	−	16.8365i	−0.537184	−	0.656356i
$659$	21.6461	+	7.87854i	0.843213	+	0.306904i	0.727270	−	0.686352i	$-0.240789\pi$
$659$	21.6461	+	7.87854i	0.843213	+	0.306904i	0.115943	+	0.993256i	$0.463011\pi$
$660$	3.32319	−	1.20954i	0.129355	−	0.0470813i
$661$	−40.5245	−	14.7497i	−1.57622	−	0.573697i	−0.601841	−	0.798616i	$-0.705566\pi$
$661$	−40.5245	−	14.7497i	−1.57622	−	0.573697i	−0.974378	+	0.224919i	$0.927788\pi$
$662$	2.16779	−	12.2941i	0.0842534	−	0.477825i
$663$	0.819261	−	4.64626i	0.0318175	−	0.180446i
$664$	9.14265			0.354804
$665$	1.84728	+	28.1760i	0.0716343	+	1.09262i
$666$	5.16634			0.200192
$667$	−10.8715	+	61.6551i	−0.420944	+	2.38729i
$668$	−4.07405	+	23.1051i	−0.157630	+	0.893963i
$669$	−9.73450	−	3.54307i	−0.376358	−	0.136983i
$670$	−30.0909	+	10.9522i	−1.16251	+	0.423120i
$671$	3.69132	+	1.34353i	0.142502	+	0.0518664i
$672$	−2.61099	+	0.427475i	−0.100721	+	0.0164902i
$673$	10.3489	−	17.9248i	0.398921	−	0.690951i	−0.594672	−	0.803968i	$-0.702718\pi$
$673$	10.3489	−	17.9248i	0.398921	−	0.690951i	0.993593	+	0.113017i	$0.0360515\pi$
$674$	21.8760	+	7.96221i	0.842632	+	0.306693i
$675$	0.172735	+	0.979629i	0.00664858	+	0.0377060i
$676$	4.18249	+	7.24428i	0.160865	+	0.278626i
$677$	3.52552	−	6.10638i	0.135497	−	0.234687i	−0.790290	−	0.612733i	$-0.790070\pi$
$677$	3.52552	−	6.10638i	0.135497	−	0.234687i	0.925787	+	0.378045i	$0.123404\pi$
$678$	−9.12918	−	3.32275i	−0.350604	−	0.127609i
$679$	−14.6409	+	8.21545i	−0.561867	+	0.315280i
$680$	0.931711	+	5.28400i	0.0357295	+	0.202632i
$681$	−5.09713	−	4.27700i	−0.195323	−	0.163895i
$682$	−10.7468	+	3.91150i	−0.411515	+	0.149779i
$683$	9.24508	−	16.0129i	0.353753	−	0.612718i	−0.633151	−	0.774029i	$-0.718239\pi$
$683$	9.24508	−	16.0129i	0.353753	−	0.612718i	0.986904	+	0.161310i	$0.0515720\pi$
$684$	−3.54657	−	2.53413i	−0.135606	−	0.0968951i
$685$	34.1659			1.30541
$686$	5.69052	+	17.6244i	0.217265	+	0.672901i
$687$	−7.00089	+	2.54811i	−0.267100	+	0.0972166i
$688$	−0.224645	+	0.188500i	−0.00856452	+	0.00718649i
$689$	9.74293	+	8.17529i	0.371176	+	0.311454i
$690$	−13.3597	+	11.2101i	−0.508594	+	0.426761i
$691$	4.59512	−	7.95897i	0.174806	−	0.302774i	−0.765288	−	0.643688i	$-0.777403\pi$
$691$	4.59512	−	7.95897i	0.174806	−	0.302774i	0.940094	+	0.340915i	$0.110737\pi$
$692$	−1.01326	+	1.75501i	−0.0385182	+	0.0667156i
$693$	3.75502	+	0.709651i	0.142641	+	0.0269574i
$694$	−11.5622	+	9.70183i	−0.438895	+	0.368276i
$695$	20.3328			0.771266
$696$	−8.78943			−0.333163
$697$	−14.6162	+	12.2644i	−0.553627	+	0.464548i
$698$	−10.6019	+	3.85878i	−0.401288	+	0.146057i
$699$	1.18870	+	6.74147i	0.0449609	+	0.254986i
$700$	−0.0322429	+	2.63164i	−0.00121867	+	0.0994667i
$701$	18.4208	+	15.4569i	0.695745	+	0.583799i	0.920559	−	0.390602i	$-0.127733\pi$
$701$	18.4208	+	15.4569i	0.695745	+	0.583799i	−0.224815	+	0.974402i	$0.572178\pi$
$702$	1.07646	+	1.86448i	0.0406282	+	0.0703701i
$703$	12.7400	+	18.5694i	0.480498	+	0.700359i
$704$	−0.722194	+	1.25088i	−0.0272187	+	0.0471442i
$705$	3.49620	−	19.8279i	0.131674	−	0.746762i
$706$	−3.26137	+	1.18704i	−0.122743	+	0.0446749i
$707$	−1.18689	−	3.38959i	−0.0446375	−	0.127479i
$708$	0.411495	−	2.33371i	0.0154649	−	0.0877060i
$709$	3.70983	+	21.0395i	0.139325	+	0.790154i	0.971750	+	0.236015i	$0.0758413\pi$
$709$	3.70983	+	21.0395i	0.139325	+	0.790154i	−0.832424	+	0.554139i	$0.813048\pi$
$710$	35.2859			1.32426
$711$	3.63467	+	6.29544i	0.136311	+	0.236097i
$712$	−7.82971	−	2.84978i	−0.293431	−	0.106800i
$713$	43.2035	−	36.2520i	1.61798	−	1.35765i
$714$	−2.04962	+	5.42359i	−0.0767050	+	0.202973i
$715$	−3.80684	−	6.59365i	−0.142368	−	0.246588i
$716$	−2.85182	−	16.1735i	−0.106578	−	0.604432i
$717$	−0.906066	−	0.760280i	−0.0338377	−	0.0283932i
$718$	−10.9047	−	3.96898i	−0.406960	−	0.148121i
$719$	−32.8660	−	27.5778i	−1.22569	−	1.02848i	−0.998507	−	0.0546290i	$-0.982602\pi$
$719$	−32.8660	−	27.5778i	−1.22569	−	1.02848i	−0.227188	−	0.973851i	$-0.572953\pi$
$720$	−1.87560	−	1.57381i	−0.0698993	−	0.0586525i
$721$	13.2317	−	35.0131i	0.492775	−	1.30396i
$722$	0.362755	−	18.9965i	0.0135004	−	0.706978i
$723$	5.76129	+	9.97884i	0.214265	+	0.371117i
$724$	−16.4702	+	5.99468i	−0.612112	+	0.222790i
$725$	−1.51824	+	8.61039i	−0.0563861	+	0.319782i
$726$	−6.82833	+	5.72965i	−0.253423	+	0.212647i
$727$	−6.00232	+	34.0409i	−0.222614	+	1.26251i	0.644581	+	0.764536i	$0.277032\pi$
$727$	−6.00232	+	34.0409i	−0.222614	+	1.26251i	−0.867195	+	0.497969i	$0.834079\pi$
$728$	1.88245	+	5.37602i	0.0697682	+	0.199249i
$729$	−0.500000	−	0.866025i	−0.0185185	−	0.0320750i
$730$	3.38019			0.125107
$731$	0.111594	+	0.632879i	0.00412744	+	0.0234079i
$732$	−0.472261	−	2.67833i	−0.0174553	−	0.0989938i
$733$	15.2809			0.564413			0.282207	−	0.959354i	$-0.408934\pi$
$733$	15.2809			0.564413			0.282207	+	0.959354i	$0.408934\pi$
$734$	10.3545	+	17.9345i	0.382190	+	0.661973i
$735$	−8.93054	+	14.6283i	−0.329408	+	0.539574i
$736$	1.23688	−	7.01468i	0.0455919	−	0.258565i
$737$	−14.4711	+	12.1427i	−0.533050	+	0.447282i
$738$	1.51190	−	8.57443i	0.0556539	−	0.315629i
$739$	−3.46411	+	1.26083i	−0.127429	+	0.0463805i	−0.404948	−	0.914340i	$-0.632710\pi$
$739$	−3.46411	+	1.26083i	−0.127429	+	0.0463805i	0.277518	+	0.960720i	$0.410488\pi$
$740$	6.32468	+	10.9547i	0.232500	+	0.402702i
$741$	−4.04700	+	8.46684i	−0.148670	+	0.311037i
$742$	−9.89932	−	12.0954i	−0.363415	−	0.444038i
$743$	16.4734	+	13.8228i	0.604350	+	0.507110i	0.892841	−	0.450373i	$-0.148709\pi$
$743$	16.4734	+	13.8228i	0.604350	+	0.507110i	−0.288491	+	0.957483i	$0.593153\pi$
$744$	6.06544	+	5.08951i	0.222370	+	0.186590i
$745$	2.97139	+	1.08150i	0.108863	+	0.0396230i
$746$	−3.66604	−	3.07617i	−0.134223	−	0.112627i
$747$	1.58760	+	9.00375i	0.0580874	+	0.329430i
$748$	1.58263	+	2.74120i	0.0578667	+	0.100228i
$749$	24.2540	+	29.6347i	0.886223	+	1.08283i
$750$	7.51224	−	6.30352i	0.274308	−	0.230172i
$751$	−18.5096	−	6.73694i	−0.675425	−	0.245834i	−0.0185429	−	0.999828i	$-0.505903\pi$
$751$	−18.5096	−	6.73694i	−0.675425	−	0.245834i	−0.656882	+	0.753994i	$0.728125\pi$
$752$	4.11159	+	7.12149i	0.149934	+	0.259694i
$753$	−2.14806			−0.0782795
$754$	3.28592	+	18.6354i	0.119666	+	0.678661i
$755$	4.71097	−	26.7173i	0.171450	−	0.972341i
$756$	−0.874374	−	2.49709i	−0.0318007	−	0.0908184i
$757$	2.56407	−	0.933246i	0.0931928	−	0.0339194i	−0.295003	−	0.955496i	$-0.595321\pi$
$757$	2.56407	−	0.933246i	0.0931928	−	0.0339194i	0.388196	+	0.921577i	$0.373098\pi$
$758$	−5.08723	+	28.8511i	−0.184776	+	1.04792i
$759$	−5.14411	+	8.90986i	−0.186719	+	0.323407i
$760$	1.03162	−	10.6224i	0.0374207	−	0.385316i
$761$	24.3498	+	42.1751i	0.882681	+	1.52885i	0.848349	+	0.529437i	$0.177597\pi$
$761$	24.3498	+	42.1751i	0.882681	+	1.52885i	0.0343318	+	0.999410i	$0.489070\pi$
$762$	−12.5809	−	10.5566i	−0.455757	−	0.382425i
$763$	48.1598	−	27.0239i	1.74350	−	0.978329i
$764$	−2.22945	−	12.6438i	−0.0806585	−	0.457437i
$765$	−5.04193	+	1.83511i	−0.182291	+	0.0663486i
$766$	6.09261	−	5.11231i	0.220135	−	0.184715i
$767$	−5.10177			−0.184214
$768$	1.00000			0.0360844
$769$	−25.5213	+	21.4149i	−0.920322	+	0.772242i	−0.974054	−	0.226314i	$-0.927333\pi$
$769$	−25.5213	+	21.4149i	−0.920322	+	0.772242i	0.0537328	+	0.998555i	$0.482888\pi$
$770$	3.09219	+	8.83087i	0.111435	+	0.318242i
$771$	−5.04570	+	8.73940i	−0.181716	+	0.314742i
$772$	3.57807	−	6.19739i	0.128777	−	0.223049i
$773$	2.05729	−	1.72627i	0.0739955	−	0.0620896i	−0.605040	−	0.796195i	$-0.706843\pi$
$773$	2.05729	−	1.72627i	0.0739955	−	0.0620896i	0.679035	+	0.734106i	$0.262398\pi$
$774$	−0.224645	−	0.188500i	−0.00807471	−	0.00677549i
$775$	6.03355	−	5.06275i	0.216731	−	0.181859i
$776$	5.96275	−	2.17026i	0.214050	−	0.0779079i
$777$	−0.167458	+	13.6678i	−0.00600754	+	0.490331i
$778$	−14.7439			−0.528596
$779$	34.5474	−	15.7100i	1.23779	−	0.562868i
$780$	−2.63561	+	4.56501i	−0.0943700	+	0.163454i
$781$	19.5607	−	7.11952i	0.699938	−	0.254757i
$782$	−11.9574	−	10.0334i	−0.427595	−	0.358795i
$783$	−1.52627	−	8.65590i	−0.0545444	−	0.309337i
$784$	−1.04628	−	6.92137i	−0.0373670	−	0.247192i
$785$	−22.8316	−	8.31001i	−0.814893	−	0.296597i
$786$	2.68397	−	4.64878i	0.0957341	−	0.165816i
$787$	−6.19886	−	10.7367i	−0.220966	−	0.382724i	0.734136	−	0.679003i	$-0.237588\pi$
$787$	−6.19886	−	10.7367i	−0.220966	−	0.382724i	−0.955101	+	0.296279i	$0.904254\pi$
$788$	−3.58618	−	20.3383i	−0.127752	−	0.724520i
$789$	−1.87540	−	0.682590i	−0.0667660	−	0.0243009i
$790$	−8.89919	+	15.4139i	−0.316619	+	0.548400i
$791$	9.08642	−	24.0440i	0.323076	−	0.854907i
$792$	−1.35728	−	0.494009i	−0.0482288	−	0.0175539i
$793$	−5.50204	+	2.00258i	−0.195383	+	0.0711137i
$794$	−9.90868	−	3.60646i	−0.351646	−	0.127989i
$795$	2.51168	−	14.2445i	0.0890802	−	0.505199i
$796$	0.189040	−	1.07210i	0.00670033	−	0.0379994i
$797$	−40.2443			−1.42552			−0.712762	−	0.701406i	$-0.752556\pi$
$797$	−40.2443			−1.42552			−0.712762	+	0.701406i	$0.752556\pi$
$798$	6.81914	−	9.30050i	0.241395	−	0.329234i
$799$	18.0205			0.637518
$800$	0.172735	−	0.979629i	0.00610711	−	0.0346351i
$801$	1.44687	−	8.20562i	0.0511227	−	0.289931i
$802$	−1.75183	−	0.637616i	−0.0618594	−	0.0225150i
$803$	1.87381	−	0.682011i	0.0661253	−	0.0240677i
$804$	12.2899	+	4.47318i	0.433433	+	0.157757i
$805$	−29.2239	−	35.7071i	−1.03001	−	1.25851i
$806$	8.52324	−	14.7627i	0.300218	−	0.519993i
$807$	−2.71591	−	0.988509i	−0.0956045	−	0.0347972i
$808$	0.235713	+	1.33679i	0.00829235	+	0.0470282i
$809$	−1.99565	−	3.45657i	−0.0701634	−	0.121527i	0.828809	−	0.559531i	$-0.189019\pi$
$809$	−1.99565	−	3.45657i	−0.0701634	−	0.121527i	−0.898973	+	0.438004i	$0.855685\pi$
$810$	1.22421	−	2.12039i	0.0430143	−	0.0745029i
$811$	34.3723	+	12.5105i	1.20697	+	0.439303i	0.865653	−	0.500644i	$-0.166903\pi$
$811$	34.3723	+	12.5105i	1.20697	+	0.439303i	0.341321	+	0.939947i	$0.389126\pi$
$812$	0.284895	−	23.2529i	0.00999784	−	0.816017i
$813$	2.09272	+	11.8684i	0.0733948	+	0.416243i
$814$	5.71638	+	4.79661i	0.200359	+	0.168121i
$815$	51.7920	−	18.8508i	1.81420	−	0.660313i
$816$	1.09571	−	1.89783i	0.0383575	−	0.0664372i
$817$	0.123560	−	1.27228i	0.00432280	−	0.0445114i
$818$	−14.8300			−0.518517
$819$	−4.96746	+	2.78739i	−0.173577	+	0.0973992i
$820$	20.0320	−	7.29106i	0.699549	−	0.254615i
$821$	11.1488	−	9.35499i	0.389097	−	0.326492i	−0.427164	−	0.904174i	$-0.640487\pi$
$821$	11.1488	−	9.35499i	0.389097	−	0.326492i	0.816261	+	0.577683i	$0.196043\pi$
$822$	−10.6896	−	8.96964i	−0.372843	−	0.312852i
$823$	−27.6162	+	23.1727i	−0.962640	+	0.807751i	−0.981381	−	0.192073i	$-0.938479\pi$
$823$	−27.6162	+	23.1727i	−0.962640	+	0.807751i	0.0187403	+	0.999824i	$0.494034\pi$
$824$	−7.07358	+	12.2518i	−0.246420	+	0.426812i
$825$	−0.718396	+	1.24430i	−0.0250113	+	0.0433209i
$826$	6.16060	+	1.16428i	0.214355	+	0.0405103i
$827$	−29.4913	+	24.7461i	−1.02551	+	0.860506i	−0.990310	−	0.138874i	$-0.955652\pi$
$827$	−29.4913	+	24.7461i	−1.02551	+	0.860506i	−0.0352012	+	0.999380i	$0.511207\pi$
$828$	7.12289			0.247538
$829$	−19.9719			−0.693654			−0.346827	−	0.937929i	$-0.612741\pi$
$829$	−19.9719			−0.693654			−0.346827	+	0.937929i	$0.612741\pi$
$830$	−17.1479	+	14.3888i	−0.595213	+	0.499443i
$831$	7.54473	−	2.74606i	0.261724	−	0.0952597i
$832$	−0.373849	−	2.12020i	−0.0129609	−	0.0735049i
$833$	−14.2820	−	5.59816i	−0.494841	−	0.193965i
$834$	−6.36158	−	5.33800i	−0.220284	−	0.184840i
$835$	−28.7218	−	49.7476i	−0.993959	−	1.72159i
$836$	−1.57138	−	6.09669i	−0.0543472	−	0.210858i
$837$	−3.95893	+	6.85708i	−0.136841	+	0.237015i
$838$	−5.51504	+	31.2773i	−0.190514	+	1.08046i
$839$	−45.0286	+	16.3891i	−1.55456	+	0.565813i	−0.969482	−	0.245164i	$-0.921158\pi$
$839$	−45.0286	+	16.3891i	−1.55456	+	0.565813i	−0.585078	+	0.810977i	$0.698936\pi$
$840$	4.22440	−	4.91097i	0.145756	−	0.169445i
$841$	8.37924	−	47.5210i	0.288939	−	1.63866i
$842$	3.88809	+	22.0505i	0.133992	+	0.759909i
$843$	18.2957			0.630139
$844$	4.99284	+	8.64786i	0.171861	+	0.297671i
$845$	−19.2458	−	7.00489i	−0.662075	−	0.240976i
$846$	−6.29933	+	5.28576i	−0.216575	+	0.181728i
$847$	−14.9368	−	18.2504i	−0.513233	−	0.627092i
$848$	2.95379	+	5.11611i	0.101434	+	0.175688i
$849$	2.46615	+	13.9862i	0.0846381	+	0.480006i
$850$	−1.66990	−	1.40121i	−0.0572771	−	0.0480612i
$851$	−34.5801	−	12.5861i	−1.18539	−	0.431446i
$852$	−11.0400	−	9.26367i	−0.378225	−	0.317368i
$853$	32.1765	+	26.9992i	1.10170	+	0.924437i	0.997538	−	0.0701237i	$-0.0223394\pi$
$853$	32.1765	+	26.9992i	1.10170	+	0.924437i	0.104162	+	0.994560i	$0.466784\pi$
$854$	7.10096	−	1.16258i	0.242990	−	0.0397826i
$855$	10.6402	−	0.828621i	0.363887	−	0.0283382i
$856$	−7.23699	−	12.5348i	−0.247355	−	0.428432i
$857$	23.0365	−	8.38460i	0.786912	−	0.286413i	0.0828602	−	0.996561i	$-0.473594\pi$
$857$	23.0365	−	8.38460i	0.786912	−	0.286413i	0.704052	+	0.710149i	$0.251372\pi$
$858$	−0.539983	+	3.06240i	−0.0184347	+	0.104548i
$859$	35.1469	−	29.4918i	1.19920	−	1.00625i	0.199545	−	0.979889i	$-0.436054\pi$
$859$	35.1469	−	29.4918i	1.19920	−	1.00625i	0.999653	−	0.0263574i	$-0.00839079\pi$
$860$	0.124681	−	0.707099i	0.00425157	−	0.0241119i
$861$	22.6351	+	4.27775i	0.771402	+	0.145785i
$862$	0.243605	+	0.421936i	0.00829722	+	0.0143712i
$863$	−57.5621			−1.95944			−0.979718	−	0.200383i	$-0.935781\pi$
$863$	−57.5621			−1.95944			−0.979718	+	0.200383i	$0.935781\pi$
$864$	0.173648	+	0.984808i	0.00590763	+	0.0335038i
$865$	−0.861599	−	4.88637i	−0.0292952	−	0.166142i
$866$	13.2002			0.448562
$867$	6.09884	+	10.5635i	0.207127	+	0.358755i
$868$	−13.6612	+	15.8815i	−0.463690	+	0.539052i
$869$	−1.82326	+	10.3402i	−0.0618499	+	0.350768i
$870$	16.4854	−	13.8329i	0.558908	−	0.468980i
$871$	4.88946	−	27.7295i	0.165673	−	0.939578i
$872$	−19.6138	+	7.13884i	−0.664208	+	0.241752i
$873$	3.17271	+	5.49530i	0.107380	+	0.185988i
$874$	17.5648	+	25.6019i	0.594137	+	0.865996i
$875$	16.4328	+	20.0784i	0.555530	+	0.678772i
$876$	−1.05757	−	0.887409i	−0.0357321	−	0.0299828i
$877$	11.9335	+	10.0134i	0.402967	+	0.338129i	0.821639	−	0.570008i	$-0.193060\pi$
$877$	11.9335	+	10.0134i	0.402967	+	0.338129i	−0.418672	+	0.908137i	$0.637504\pi$
$878$	14.7991	+	5.38642i	0.499444	+	0.181783i
$879$	18.0028	+	15.1062i	0.607221	+	0.509519i
$880$	−0.614100	−	3.48273i	−0.0207013	−	0.117403i
$881$	11.5881	+	20.0712i	0.390413	+	0.676215i	0.992504	−	0.122213i	$-0.0389990\pi$
$881$	11.5881	+	20.0712i	0.390413	+	0.676215i	−0.602091	+	0.798427i	$0.705666\pi$
$882$	6.63453	−	2.23226i	0.223396	−	0.0751642i
$883$	−29.4545	+	24.7153i	−0.991224	+	0.831736i	−0.985744	−	0.168249i	$-0.946189\pi$
$883$	−29.4545	+	24.7153i	−0.991224	+	0.831736i	−0.00547958	+	0.999985i	$0.501744\pi$
$884$	−4.43341	−	1.61363i	−0.149112	−	0.0542722i
$885$	2.90101	+	5.02470i	0.0975165	+	0.168904i
$886$	4.96321			0.166742
$887$	−6.88837	−	39.0659i	−0.231289	−	1.31170i	−0.850290	−	0.526315i	$-0.823573\pi$
$887$	−6.88837	−	39.0659i	−0.231289	−	1.31170i	0.619001	−	0.785390i	$-0.287538\pi$
$888$	0.897126	−	5.08786i	0.0301056	−	0.170737i
$889$	28.3358	−	32.9412i	0.950354	−	1.10481i
$890$	19.1704	−	6.97745i	0.642593	−	0.233885i
$891$	0.250815	−	1.42244i	0.00840263	−	0.0476537i
$892$	−5.17962	+	8.97136i	−0.173427	+	0.300384i
$893$	−34.5325	−	9.60723i	−1.15559	−	0.321494i
$894$	−0.645742	−	1.11846i	−0.0215968	−	0.0374068i
$895$	30.8029	+	25.8467i	1.02963	+	0.863960i
$896$	−0.0324133	+	2.64555i	−0.00108285	+	0.0883817i
$897$	−2.66289	−	15.1020i	−0.0889112	−	0.504241i
$898$	−6.14170	+	2.23540i	−0.204951	+	0.0745961i
$899$	−53.3118	+	44.7339i	−1.77805	+	1.49196i
$900$	0.994742			0.0331581
$901$	12.9460			0.431293
$902$	9.63366	−	8.08360i	0.320766	−	0.269155i
$903$	0.505968	−	0.588201i	0.0168376	−	0.0195741i
$904$	−4.85754	+	8.41350i	−0.161559	+	0.279829i
$905$	21.4570	−	37.1646i	0.713255	−	1.23539i
$906$	−8.48807	+	7.12234i	−0.281997	+	0.236624i
$907$	17.9272	+	15.0427i	0.595264	+	0.499486i	0.889920	−	0.456118i	$-0.150760\pi$
$907$	17.9272	+	15.0427i	0.595264	+	0.499486i	−0.294655	+	0.955604i	$0.595205\pi$
$908$	−5.09713	+	4.27700i	−0.169154	+	0.141937i
$909$	−1.27555	+	0.464264i	−0.0423074	+	0.0153987i
$910$	−11.9916	−	7.12062i	−0.397516	−	0.236046i
$911$	50.6615			1.67849			0.839246	−	0.543752i	$-0.182997\pi$
$911$	50.6615			1.67849			0.839246	+	0.543752i	$0.182997\pi$
$912$	−3.11149	+	3.05264i	−0.103032	+	0.101083i
$913$	−6.60276	+	11.4363i	−0.218520	+	0.378487i
$914$	−33.3330	+	12.1322i	−1.10256	+	0.401298i
$915$	5.10095	+	4.28021i	0.168632	+	0.141499i
$916$	1.29371	+	7.33700i	0.0427454	+	0.242421i
$917$	12.2116	+	7.25127i	0.403262	+	0.239458i
$918$	2.05926	+	0.749510i	0.0679658	+	0.0247375i
$919$	−0.176651	+	0.305968i	−0.00582717	+	0.0100929i	−0.868924	−	0.494945i	$-0.835188\pi$
$919$	−0.176651	+	0.305968i	−0.00582717	+	0.0100929i	0.863097	+	0.505038i	$0.168522\pi$
$920$	8.71990	+	15.1033i	0.287487	+	0.497942i
$921$	3.58936	+	20.3563i	0.118273	+	0.670762i
$922$	−20.4715	−	7.45101i	−0.674193	−	0.245386i
$923$	−15.5136	+	26.8703i	−0.510636	+	0.884447i
$924$	1.35092	−	3.57474i	0.0444421	−	0.117600i
$925$	−4.82925	−	1.75770i	−0.158785	−	0.0577929i
$926$	−12.5086	+	4.55277i	−0.411059	+	0.149613i
$927$	−13.2940	−	4.83861i	−0.436632	−	0.158921i
$928$	−1.52627	+	8.65590i	−0.0501022	+	0.284144i
$929$	7.20983	−	40.8890i	0.236547	−	1.34152i	−0.602785	−	0.797904i	$-0.705942\pi$
$929$	7.20983	−	40.8890i	0.236547	−	1.34152i	0.839332	−	0.543619i	$-0.182947\pi$
$930$	−19.3862			−0.635700
$931$	24.3839	+	18.3419i	0.799151	+	0.601130i
$932$	6.84547			0.224231
$933$	2.94713	−	16.7140i	0.0964848	−	0.547192i
$934$	−5.02236	+	28.4832i	−0.164337	+	0.931999i
$935$	−7.28250	−	2.65061i	−0.238163	−	0.0866843i
$936$	2.02308	−	0.736339i	0.0661263	−	0.0240680i
$937$	22.0332	+	8.01945i	0.719795	+	0.261984i	0.675839	−	0.737050i	$-0.263782\pi$
$937$	22.0332	+	8.01945i	0.719795	+	0.261984i	0.0439561	+	0.999033i	$0.486004\pi$
$938$	−12.2324	+	32.3687i	−0.399401	+	1.05688i
$939$	−7.64182	+	13.2360i	−0.249381	+	0.431941i
$940$	−18.9196	−	6.88616i	−0.617088	−	0.224602i
$941$	−1.24515	−	7.06161i	−0.0405908	−	0.230202i	0.957763	−	0.287559i	$-0.0928437\pi$
$941$	−1.24515	−	7.06161i	−0.0405908	−	0.230202i	−0.998354	+	0.0573571i	$0.981733\pi$
$942$	4.96174	+	8.59399i	0.161662	+	0.280007i
$943$	−31.0085	+	53.7083i	−1.00977	+	1.74898i
$944$	−2.22680	−	0.810487i	−0.0724760	−	0.0263791i
$945$	5.56992	+	3.30744i	0.181190	+	0.107591i
$946$	−0.0735525	−	0.417137i	−0.00239140	−	0.0135623i
$947$	6.27289	+	5.26358i	0.203842	+	0.171043i	0.738994	−	0.673712i	$-0.235301\pi$
$947$	6.27289	+	5.26358i	0.203842	+	0.171043i	−0.535152	+	0.844756i	$0.679746\pi$
$948$	6.83095	−	2.48626i	0.221859	−	0.0807501i
$949$	−1.48612	+	2.57403i	−0.0482413	+	0.0835564i
$950$	2.45299	+	3.57541i	0.0795856	+	0.116002i
$951$	21.2931			0.690476
$952$	4.98528	+	2.96027i	0.161574	+	0.0959431i
$953$	−20.4650	+	7.44864i	−0.662926	+	0.241285i	−0.651499	−	0.758650i	$-0.725859\pi$
$953$	−20.4650	+	7.44864i	−0.662926	+	0.241285i	−0.0114266	+	0.999935i	$0.503637\pi$
$954$	−4.52547	+	3.79732i	−0.146517	+	0.122943i
$955$	24.0805	+	20.2060i	0.779227	+	0.653849i
$956$	−0.906066	+	0.760280i	−0.0293043	+	0.0245892i
$957$	6.34767	−	10.9945i	0.205191	−	0.355401i
$958$	−13.0662	+	22.6314i	−0.422151	+	0.731188i
$959$	24.0761	−	27.9892i	0.777459	−	0.903818i
$960$	−1.87560	+	1.57381i	−0.0605346	+	0.0507946i
$961$	31.6926			1.02234
$962$	−11.1227			−0.358610
$963$	11.0877	−	9.30369i	0.357297	−	0.299807i
$964$	10.8277	−	3.94095i	0.348736	−	0.126930i
$965$	3.04252	+	17.2550i	0.0979423	+	0.555458i
$966$	−0.230877	+	18.8440i	−0.00742834	+	0.606296i
$967$	−31.8630	−	26.7362i	−1.02464	−	0.859779i	−0.0344407	−	0.999407i	$-0.510965\pi$
$967$	−31.8630	−	26.7362i	−1.02464	−	0.859779i	−0.990204	+	0.139628i	$0.955409\pi$
$968$	4.45687	+	7.71953i	0.143249	+	0.248115i
$969$	2.38409	+	9.24988i	0.0765880	+	0.297149i
$970$	−7.76812	+	13.4548i	−0.249419	+	0.432007i
$971$	−4.79437	+	27.1902i	−0.153859	+	0.872576i	0.805963	+	0.591966i	$0.201648\pi$
$971$	−4.79437	+	27.1902i	−0.153859	+	0.872576i	−0.959822	+	0.280610i	$0.909463\pi$
$972$	−0.939693	+	0.342020i	−0.0301407	+	0.0109703i
$973$	14.3282	−	16.6569i	0.459340	−	0.533995i
$974$	−0.684949	+	3.88454i	−0.0219472	+	0.124469i
$975$	−0.371883	−	2.10906i	−0.0119098	−	0.0675438i
$976$	−2.71964			−0.0870537
$977$	9.46762	+	16.3984i	0.302896	+	0.524631i	0.976791	−	0.214196i	$-0.0687132\pi$
$977$	9.46762	+	16.3984i	0.302896	+	0.524631i	−0.673895	+	0.738827i	$0.735380\pi$
$978$	−21.1533	−	7.69916i	−0.676407	−	0.246192i
$979$	9.21929	−	7.73591i	0.294650	−	0.247241i
$980$	12.8553	+	11.3350i	0.410648	+	0.362085i
$981$	−10.4363	−	18.0762i	−0.333205	−	0.577128i
$982$	−1.65194	−	9.36862i	−0.0527155	−	0.298965i
$983$	−4.04507	−	3.39421i	−0.129018	−	0.108259i	0.575996	−	0.817453i	$-0.304615\pi$
$983$	−4.04507	−	3.39421i	−0.129018	−	0.108259i	−0.705013	+	0.709194i	$0.749059\pi$
$984$	−8.18163	−	2.97787i	−0.260821	−	0.0949310i
$985$	38.7348	+	32.5024i	1.23419	+	1.03561i
$986$	14.7550	+	12.3810i	0.469896	+	0.394290i
$987$	−13.7796	−	16.8365i	−0.438609	−	0.535913i
$988$	7.63545	+	5.45577i	0.242916	+	0.173571i
$989$	1.04441	+	1.80897i	0.0332102	+	0.0575218i
$990$	3.32319	−	1.20954i	0.105618	−	0.0384417i
$991$	7.93885	−	45.0234i	0.252186	−	1.43022i	−0.551008	−	0.834500i	$-0.685757\pi$
$991$	7.93885	−	45.0234i	0.252186	−	1.43022i	0.803194	−	0.595717i	$-0.203132\pi$
$992$	6.06544	−	5.08951i	0.192578	−	0.161592i
$993$	2.16779	−	12.2941i	0.0687926	−	0.390142i
$994$	24.8654	−	28.9067i	0.788682	−	0.916864i
$995$	1.33272	+	2.30833i	0.0422499	+	0.0731790i
$996$	9.14265			0.289696
$997$	−6.11044	−	34.6540i	−0.193520	−	1.09750i	−0.914511	−	0.404560i	$-0.867425\pi$
$997$	−6.11044	−	34.6540i	−0.193520	−	1.09750i	0.720992	−	0.692944i	$-0.243687\pi$
$998$	−4.63924	−	26.3104i	−0.146852	−	0.832842i
$999$	5.16634			0.163456

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	798.2.bp.d.529.5	✓	36
7.2	even	3		798.2.bq.d.415.2	yes	36
19.6	even	9		798.2.bq.d.25.2	yes	36
133.44	even	9	inner	798.2.bp.d.709.5	yes	36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
798.2.bp.d.529.5	✓	36	1.1	even	1	trivial
798.2.bp.d.709.5	yes	36	133.44	even	9	inner
798.2.bq.d.25.2	yes	36	19.6	even	9
798.2.bq.d.415.2	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)

\(f(q)\)	\(=\)	\(q+(0.173648 - 0.984808i) q^{2} +(0.173648 - 0.984808i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(2.30076 - 0.837408i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(0.935291 - 2.47492i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +O(q^{10})\)	\(q+(0.173648 - 0.984808i) q^{2} +(0.173648 - 0.984808i) q^{3} +(-0.939693 - 0.342020i) q^{4} +(2.30076 - 0.837408i) q^{5} +(-0.939693 - 0.342020i) q^{6} +(0.935291 - 2.47492i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-0.939693 - 0.342020i) q^{9} +(-0.425163 - 2.41122i) q^{10} +(-0.722194 - 1.25088i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(2.02308 + 0.736339i) q^{13} +(-2.27491 - 1.35085i) q^{14} +(-0.425163 - 2.41122i) q^{15} +(0.766044 + 0.642788i) q^{16} +(2.05926 - 0.749510i) q^{17} +(-0.500000 + 0.866025i) q^{18} +(-4.34574 + 0.338431i) q^{19} -2.44842 q^{20} +(-2.27491 - 1.35085i) q^{21} +(-1.35728 + 0.494009i) q^{22} +(5.45645 - 4.57851i) q^{23} +(0.766044 + 0.642788i) q^{24} +(0.762016 - 0.639408i) q^{25} +(1.07646 - 1.86448i) q^{26} +(-0.500000 + 0.866025i) q^{27} +(-1.72536 + 2.00578i) q^{28} +(-6.73310 + 5.64974i) q^{29} -2.44842 q^{30} +7.91787 q^{31} +(0.766044 - 0.642788i) q^{32} +(-1.35728 + 0.494009i) q^{33} +(-0.380536 - 2.15813i) q^{34} +(0.0793613 - 6.47741i) q^{35} +(0.766044 + 0.642788i) q^{36} +(-2.58317 - 4.47419i) q^{37} +(-0.421340 + 4.33849i) q^{38} +(1.07646 - 1.86448i) q^{39} +(-0.425163 + 2.41122i) q^{40} +(-8.18163 + 2.97787i) q^{41} +(-1.72536 + 2.00578i) q^{42} +(-0.0509230 + 0.288799i) q^{43} +(0.250815 + 1.42244i) q^{44} -2.44842 q^{45} +(-3.56145 - 6.16861i) q^{46} +(7.72727 + 2.81250i) q^{47} +(0.766044 - 0.642788i) q^{48} +(-5.25046 - 4.62954i) q^{49} +(-0.497371 - 0.861472i) q^{50} +(-0.380536 - 2.15813i) q^{51} +(-1.64923 - 1.38386i) q^{52} +(5.55131 + 2.02051i) q^{53} +(0.766044 + 0.642788i) q^{54} +(-2.70909 - 2.27319i) q^{55} +(1.67570 + 2.04745i) q^{56} +(-0.421340 + 4.33849i) q^{57} +(4.39472 + 7.61187i) q^{58} +(-2.22680 + 0.810487i) q^{59} +(-0.425163 + 2.41122i) q^{60} +(-2.08337 + 1.74815i) q^{61} +(1.37492 - 7.79758i) q^{62} +(-1.72536 + 2.00578i) q^{63} +(-0.500000 - 0.866025i) q^{64} +5.27122 q^{65} +(0.250815 + 1.42244i) q^{66} +(-2.27109 - 12.8800i) q^{67} -2.19142 q^{68} +(-3.56145 - 6.16861i) q^{69} +(-6.36523 - 1.20295i) q^{70} +(-2.50257 + 14.1928i) q^{71} +(0.766044 - 0.642788i) q^{72} +(-0.239732 + 1.35959i) q^{73} +(-4.85478 + 1.76699i) q^{74} +(-0.497371 - 0.861472i) q^{75} +(4.19941 + 1.16831i) q^{76} +(-3.77128 + 0.617439i) q^{77} +(-1.64923 - 1.38386i) q^{78} +(-5.56864 - 4.67265i) q^{79} +(2.30076 + 0.837408i) q^{80} +(0.766044 + 0.642788i) q^{81} +(1.51190 + 8.57443i) q^{82} +(-4.57133 - 7.91777i) q^{83} +(1.67570 + 2.04745i) q^{84} +(4.11022 - 3.44888i) q^{85} +(0.275568 + 0.100299i) q^{86} +(4.39472 + 7.61187i) q^{87} +1.44439 q^{88} +(1.44687 + 8.20562i) q^{89} +(-0.425163 + 2.41122i) q^{90} +(3.71454 - 4.31826i) q^{91} +(-6.69333 + 2.43617i) q^{92} +(1.37492 - 7.79758i) q^{93} +(4.11159 - 7.12149i) q^{94} +(-9.71510 + 4.41781i) q^{95} +(-0.500000 - 0.866025i) q^{96} +(-4.86087 - 4.07876i) q^{97} +(-5.47094 + 4.36678i) q^{98} +(0.250815 + 1.42244i) 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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