LMFDB - Embedded newform 153.2.n.a.106.10

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [153,2,Mod(4,153)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(153, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([4, 9]))

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

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

chi := DirichletCharacter("153.4");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 153 = 3^{2} \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	153.n (of order $12$, degree $4$, 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:	$1.22171115093$
Analytic rank:	$0$
Dimension:	$64$
Relative dimension:	$16$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			106.10
Character	$\chi$	$=$	153.106
Dual form			153.2.n.a.13.10

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.429699 + 0.248087i) q^{2} +(1.73025 + 0.0790082i) q^{3} +(-0.876906 - 1.51885i) q^{4} +(1.99106 + 0.533502i) q^{5} +(0.723884 + 0.463201i) q^{6} +(-2.35799 + 0.631823i) q^{7} -1.86254i q^{8} +(2.98752 + 0.273408i) q^{9} +O(q^{10})$	\(q+(0.429699 + 0.248087i) q^{2} +(1.73025 + 0.0790082i) q^{3} +(-0.876906 - 1.51885i) q^{4} +(1.99106 + 0.533502i) q^{5} +(0.723884 + 0.463201i) q^{6} +(-2.35799 + 0.631823i) q^{7} -1.86254i q^{8} +(2.98752 + 0.273408i) q^{9} +(0.723200 + 0.723200i) q^{10} +(-2.64429 + 0.708537i) q^{11} +(-1.39726 - 2.69726i) q^{12} +(0.245724 + 0.425607i) q^{13} +(-1.16997 - 0.313493i) q^{14} +(3.40287 + 1.08040i) q^{15} +(-1.29174 + 2.23736i) q^{16} +(-0.261232 - 4.11482i) q^{17} +(1.21590 + 0.858645i) q^{18} +7.89602i q^{19} +(-0.935663 - 3.49194i) q^{20} +(-4.12983 + 0.906909i) q^{21} +(-1.31203 - 0.351557i) q^{22} +(-0.510370 + 1.90473i) q^{23} +(0.147156 - 3.22266i) q^{24} +(-0.650439 - 0.375531i) q^{25} +0.243844i q^{26} +(5.14754 + 0.709101i) q^{27} +(3.02738 + 3.02738i) q^{28} +(-1.12151 - 4.18554i) q^{29} +(1.19418 + 1.30845i) q^{30} +(-3.84162 - 1.02936i) q^{31} +(-4.33613 + 2.50347i) q^{32} +(-4.63126 + 1.01702i) q^{33} +(0.908581 - 1.83294i) q^{34} -5.03198 q^{35} +(-2.20451 - 4.77733i) q^{36} +(1.37030 - 1.37030i) q^{37} +(-1.95890 + 3.39291i) q^{38} +(0.391537 + 0.755820i) q^{39} +(0.993670 - 3.70843i) q^{40} +(1.40044 - 5.22652i) q^{41} +(-1.99958 - 0.634859i) q^{42} +(-1.67365 - 0.966285i) q^{43} +(3.39496 + 3.39496i) q^{44} +(5.80245 + 2.13822i) q^{45} +(-0.691842 + 0.691842i) q^{46} +(1.89809 - 3.28758i) q^{47} +(-2.41180 + 3.76913i) q^{48} +(-0.901242 + 0.520332i) q^{49} +(-0.186329 - 0.322730i) q^{50} +(-0.126892 - 7.14030i) q^{51} +(0.430954 - 0.746435i) q^{52} +7.09423i q^{53} +(2.03597 + 1.58174i) q^{54} -5.64295 q^{55} +(1.17680 + 4.39186i) q^{56} +(-0.623850 + 13.6621i) q^{57} +(0.556465 - 2.07676i) q^{58} +(12.2428 - 7.06836i) q^{59} +(-1.34304 - 6.11585i) q^{60} +(-12.2114 + 3.27202i) q^{61} +(-1.39537 - 1.39537i) q^{62} +(-7.21729 + 1.24289i) q^{63} +2.68266 q^{64} +(0.262189 + 0.978503i) q^{65} +(-2.24236 - 0.711941i) q^{66} +(6.21425 + 10.7634i) q^{67} +(-6.02070 + 4.00508i) q^{68} +(-1.03356 + 3.25532i) q^{69} +(-2.16224 - 1.24837i) q^{70} +(3.11341 - 3.11341i) q^{71} +(0.509233 - 5.56437i) q^{72} +(10.2419 - 10.2419i) q^{73} +(0.928771 - 0.248863i) q^{74} +(-1.09575 - 0.701152i) q^{75} +(11.9928 - 6.92407i) q^{76} +(5.78756 - 3.34145i) q^{77} +(-0.0192656 + 0.421910i) q^{78} +(10.5180 - 2.81830i) q^{79} +(-3.76557 + 3.76557i) q^{80} +(8.85050 + 1.63362i) q^{81} +(1.89840 - 1.89840i) q^{82} +(2.15497 + 1.24417i) q^{83} +(4.99893 + 5.47731i) q^{84} +(1.67514 - 8.33222i) q^{85} +(-0.479445 - 0.830422i) q^{86} +(-1.60980 - 7.33064i) q^{87} +(1.31968 + 4.92511i) q^{88} +16.4644 q^{89} +(1.96284 + 2.35830i) q^{90} +(-0.848324 - 0.848324i) q^{91} +(3.34053 - 0.895093i) q^{92} +(-6.56563 - 2.08457i) q^{93} +(1.63121 - 0.941779i) q^{94} +(-4.21255 + 15.7214i) q^{95} +(-7.70038 + 3.98903i) q^{96} +(1.57079 + 5.86226i) q^{97} -0.516350 q^{98} +(-8.09359 + 1.39379i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	$ 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) $ 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/153\mathbb{Z}\right)^\times$.

$n$	$37$	$137$
$\chi(n)$	$e\left(\frac{3}{4}\right)$	$e\left(\frac{2}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.429699	+	0.248087i	0.303843	+	0.175424i	0.644168	−	0.764884i	$-0.277204\pi$
$2$	0.429699	+	0.248087i	0.303843	+	0.175424i	−0.340325	+	0.940308i	$0.610537\pi$
$3$	1.73025	+	0.0790082i	0.998959	+	0.0456154i
$3$	1.73025	+	0.0790082i	0.998959	+	0.0456154i
$4$	−0.876906	−	1.51885i	−0.438453	−	0.759423i
$5$	1.99106	+	0.533502i	0.890428	+	0.238590i	0.674901	−	0.737908i	$-0.264186\pi$
$5$	1.99106	+	0.533502i	0.890428	+	0.238590i	0.215527	+	0.976498i	$0.430853\pi$
$6$	0.723884	+	0.463201i	0.295524	+	0.189101i
$7$	−2.35799	+	0.631823i	−0.891238	+	0.238806i	−0.675249	−	0.737589i	$-0.735964\pi$
$7$	−2.35799	+	0.631823i	−0.891238	+	0.238806i	−0.215988	+	0.976396i	$0.569297\pi$
$8$		−	1.86254i		−	0.658508i
$9$	2.98752	+	0.273408i	0.995838	+	0.0911359i
$10$	0.723200	+	0.723200i	0.228696	+	0.228696i
$11$	−2.64429	+	0.708537i	−0.797285	+	0.213632i	−0.634392	−	0.773012i	$-0.718749\pi$
$11$	−2.64429	+	0.708537i	−0.797285	+	0.213632i	−0.162893	+	0.986644i	$0.552083\pi$
$12$	−1.39726	−	2.69726i	−0.403355	−	0.778633i
$13$	0.245724	+	0.425607i	0.0681517	+	0.118042i	0.898088	−	0.439816i	$-0.144956\pi$
$13$	0.245724	+	0.425607i	0.0681517	+	0.118042i	−0.829936	+	0.557859i	$0.811623\pi$
$14$	−1.16997	−	0.313493i	−0.312689	−	0.0837846i
$15$	3.40287	+	1.08040i	0.878618	+	0.278958i
$16$	−1.29174	+	2.23736i	−0.322935	+	0.559340i
$17$	−0.261232	−	4.11482i	−0.0633581	−	0.997991i
$17$	−0.261232	−	4.11482i	−0.0633581	−	0.997991i
$18$	1.21590	+	0.858645i	0.286591	+	0.202385i
$19$			7.89602i			1.81147i	0.423843	+	0.905736i	$0.360681\pi$
$19$			7.89602i			1.81147i	−0.423843	+	0.905736i	$0.639319\pi$
$20$	−0.935663	−	3.49194i	−0.209221	−	0.780822i
$21$	−4.12983	+	0.906909i	−0.901203	+	0.197904i
$22$	−1.31203	−	0.351557i	−0.279725	−	0.0749522i
$23$	−0.510370	+	1.90473i	−0.106419	+	0.397163i	−0.998502	−	0.0547090i	$-0.982577\pi$
$23$	−0.510370	+	1.90473i	−0.106419	+	0.397163i	0.892083	+	0.451872i	$0.149244\pi$
$24$	0.147156	−	3.22266i	0.0300381	−	0.657822i
$25$	−0.650439	−	0.375531i	−0.130088	−	0.0751062i
$26$			0.243844i			0.0478217i
$27$	5.14754	+	0.709101i	0.990645	+	0.136467i
$28$	3.02738	+	3.02738i	0.572121	+	0.572121i
$29$	−1.12151	−	4.18554i	−0.208260	−	0.777236i	−0.988431	−	0.151670i	$-0.951535\pi$
$29$	−1.12151	−	4.18554i	−0.208260	−	0.777236i	0.780171	−	0.625566i	$-0.215132\pi$
$30$	1.19418	+	1.30845i	0.218026	+	0.238890i
$31$	−3.84162	−	1.02936i	−0.689976	−	0.184879i	−0.103240	−	0.994657i	$-0.532921\pi$
$31$	−3.84162	−	1.02936i	−0.689976	−	0.184879i	−0.586736	+	0.809778i	$0.699588\pi$
$32$	−4.33613	+	2.50347i	−0.766527	+	0.442555i
$33$	−4.63126	+	1.01702i	−0.806200	+	0.177041i
$34$	0.908581	−	1.83294i	0.155820	−	0.314347i
$35$	−5.03198			−0.850560
$36$	−2.20451	−	4.77733i	−0.367418	−	0.796221i
$37$	1.37030	−	1.37030i	0.225276	−	0.225276i	−0.585440	−	0.810716i	$-0.699078\pi$
$37$	1.37030	−	1.37030i	0.225276	−	0.225276i	0.810716	+	0.585440i	$0.199078\pi$
$38$	−1.95890	+	3.39291i	−0.317775	+	0.550402i
$39$	0.391537	+	0.755820i	0.0626962	+	0.121028i
$40$	0.993670	−	3.70843i	0.157113	−	0.586354i
$41$	1.40044	−	5.22652i	0.218712	−	0.816246i	−0.766114	−	0.642705i	$-0.777812\pi$
$41$	1.40044	−	5.22652i	0.218712	−	0.816246i	0.984827	−	0.173541i	$-0.0555210\pi$
$42$	−1.99958	−	0.634859i	−0.308541	−	0.0979608i
$43$	−1.67365	−	0.966285i	−0.255230	−	0.147357i	0.366927	−	0.930250i	$-0.380410\pi$
$43$	−1.67365	−	0.966285i	−0.255230	−	0.147357i	−0.622157	+	0.782893i	$0.713743\pi$
$44$	3.39496	+	3.39496i	0.511809	+	0.511809i
$45$	5.80245	+	2.13822i	0.864979	+	0.318747i
$46$	−0.691842	+	0.691842i	−0.102007	+	0.102007i
$47$	1.89809	−	3.28758i	0.276864	−	0.479543i	−0.693740	−	0.720226i	$-0.744038\pi$
$47$	1.89809	−	3.28758i	0.276864	−	0.479543i	0.970604	+	0.240683i	$0.0773714\pi$
$48$	−2.41180	+	3.76913i	−0.348114	+	0.544027i
$49$	−0.901242	+	0.520332i	−0.128749	+	0.0743332i
$50$	−0.186329	−	0.322730i	−0.0263508	−	0.0456410i
$51$	−0.126892	−	7.14030i	−0.0177684	−	0.999842i
$52$	0.430954	−	0.746435i	0.0597626	−	0.103512i
$53$			7.09423i			0.974468i	0.873272	+	0.487234i	$0.161994\pi$
$53$			7.09423i			0.974468i	−0.873272	+	0.487234i	$0.838006\pi$
$54$	2.03597	+	1.58174i	0.277061	+	0.215247i
$55$	−5.64295			−0.760895
$56$	1.17680	+	4.39186i	0.157256	+	0.586887i
$57$	−0.623850	+	13.6621i	−0.0826310	+	1.80959i
$58$	0.556465	−	2.07676i	0.0730674	−	0.272691i
$59$	12.2428	−	7.06836i	1.59387	−	0.920222i	0.601237	−	0.799070i	$-0.294675\pi$
$59$	12.2428	−	7.06836i	1.59387	−	0.920222i	0.992634	−	0.121152i	$-0.0386587\pi$
$60$	−1.34304	−	6.11585i	−0.173385	−	0.789553i
$61$	−12.2114	+	3.27202i	−1.56350	+	0.418940i	−0.933771	−	0.357871i	$-0.883503\pi$
$61$	−12.2114	+	3.27202i	−1.56350	+	0.418940i	−0.629734	+	0.776811i	$0.716836\pi$
$62$	−1.39537	−	1.39537i	−0.177212	−	0.177212i
$63$	−7.21729	+	1.24289i	−0.909293	+	0.156589i
$64$	2.68266			0.335332
$65$	0.262189	+	0.978503i	0.0325205	+	0.121368i
$66$	−2.24236	−	0.711941i	−0.276015	−	0.0876339i
$67$	6.21425	+	10.7634i	0.759192	+	1.31496i	0.943263	+	0.332046i	$0.107739\pi$
$67$	6.21425	+	10.7634i	0.759192	+	1.31496i	−0.184071	+	0.982913i	$0.558928\pi$
$68$	−6.02070	+	4.00508i	−0.730118	+	0.485688i
$69$	−1.03356	+	3.25532i	−0.124425	+	0.391895i
$70$	−2.16224	−	1.24837i	−0.258437	−	0.149208i
$71$	3.11341	−	3.11341i	0.369494	−	0.369494i	−0.497799	−	0.867293i	$-0.665858\pi$
$71$	3.11341	−	3.11341i	0.369494	−	0.369494i	0.867293	+	0.497799i	$0.165858\pi$
$72$	0.509233	−	5.56437i	0.0600137	−	0.655767i
$73$	10.2419	−	10.2419i	1.19872	−	1.19872i	0.224168	−	0.974551i	$-0.428034\pi$
$73$	10.2419	−	10.2419i	1.19872	−	1.19872i	0.974551	−	0.224168i	$-0.0719664\pi$
$74$	0.928771	−	0.248863i	0.107967	−	0.0289298i
$75$	−1.09575	−	0.701152i	−0.126526	−	0.0809621i
$76$	11.9928	−	6.92407i	1.37567	−	0.794245i
$77$	5.78756	−	3.34145i	0.659554	−	0.380794i
$78$	−0.0192656	+	0.421910i	−0.00218141	+	0.0477719i
$79$	10.5180	−	2.81830i	1.18337	−	0.317083i	0.387108	−	0.922034i	$-0.373474\pi$
$79$	10.5180	−	2.81830i	1.18337	−	0.317083i	0.796263	+	0.604951i	$0.206807\pi$
$80$	−3.76557	+	3.76557i	−0.421003	+	0.421003i
$81$	8.85050	+	1.63362i	0.983389	+	0.181513i
$82$	1.89840	−	1.89840i	0.209643	−	0.209643i
$83$	2.15497	+	1.24417i	0.236539	+	0.136566i	0.613585	−	0.789629i	$-0.289727\pi$
$83$	2.15497	+	1.24417i	0.236539	+	0.136566i	−0.377046	+	0.926195i	$0.623060\pi$
$84$	4.99893	+	5.47731i	0.545428	+	0.597623i
$85$	1.67514	−	8.33222i	0.181694	−	0.903756i
$86$	−0.479445	−	0.830422i	−0.0516998	−	0.0895468i
$87$	−1.60980	−	7.33064i	−0.172589	−	0.785927i
$88$	1.31968	+	4.92511i	0.140678	+	0.525018i
$89$	16.4644			1.74523			0.872613	−	0.488413i	$-0.162424\pi$
$89$	16.4644			1.74523			0.872613	+	0.488413i	$0.162424\pi$
$90$	1.96284	+	2.35830i	0.206902	+	0.248587i
$91$	−0.848324	−	0.848324i	−0.0889286	−	0.0889286i
$92$	3.34053	−	0.895093i	0.348274	−	0.0933199i
$93$	−6.56563	−	2.08457i	−0.680825	−	0.216160i
$94$	1.63121	−	0.941779i	0.168246	−	0.0971371i
$95$	−4.21255	+	15.7214i	−0.432198	+	1.61299i
$96$	−7.70038	+	3.98903i	−0.785917	+	0.407129i
$97$	1.57079	+	5.86226i	0.159489	+	0.595222i	0.998679	+	0.0513835i	$0.0163631\pi$
$97$	1.57079	+	5.86226i	0.159489	+	0.595222i	−0.839190	+	0.543839i	$0.816970\pi$
$98$	−0.516350			−0.0521592
$99$	−8.09359	+	1.39379i	−0.813436	+	0.140082i
$100$			1.31722i			0.131722i
$101$	0.519966	−	0.900608i	0.0517386	−	0.0896138i	−0.838996	−	0.544137i	$-0.816857\pi$
$101$	0.519966	−	0.900608i	0.0517386	−	0.0896138i	0.890735	+	0.454523i	$0.150190\pi$
$102$	1.71689	−	3.09966i	0.169997	−	0.306912i
$103$	−5.12181	−	8.87123i	−0.504667	−	0.874108i	−0.999985	−	0.00539683i	$-0.998282\pi$
$103$	−5.12181	−	8.87123i	−0.504667	−	0.874108i	0.495319	−	0.868711i	$-0.335051\pi$
$104$	0.792710	−	0.457672i	0.0777316	−	0.0448784i
$105$	−8.70658	−	0.397568i	−0.849675	−	0.0387987i
$106$	−1.75998	+	3.04838i	−0.170945	+	0.296085i
$107$	−8.51449	+	8.51449i	−0.823127	+	0.823127i	−0.986555	−	0.163428i	$-0.947745\pi$
$107$	−8.51449	+	8.51449i	−0.823127	+	0.823127i	0.163428	+	0.986555i	$0.447745\pi$
$108$	−3.43689	−	8.44014i	−0.330715	−	0.812152i
$109$	−7.39329	−	7.39329i	−0.708148	−	0.708148i	0.257997	−	0.966146i	$-0.416937\pi$
$109$	−7.39329	−	7.39329i	−0.708148	−	0.708148i	−0.966146	+	0.257997i	$0.916937\pi$
$110$	−2.42477	−	1.39994i	−0.231193	−	0.133479i
$111$	2.47923	−	2.26270i	0.235318	−	0.214766i
$112$	1.63230	−	6.09183i	0.154238	−	0.575624i
$113$	0.406266	−	1.51620i	0.0382183	−	0.142632i	−0.944180	−	0.329429i	$-0.893144\pi$
$113$	0.406266	−	1.51620i	0.0382183	−	0.142632i	0.982399	+	0.186796i	$0.0598105\pi$
$114$	−3.65744	+	5.71580i	−0.342551	+	0.535334i
$115$	−2.03235	+	3.52014i	−0.189518	+	0.328254i
$116$	−5.37374	+	5.37374i	−0.498939	+	0.498939i
$117$	0.617741	+	1.33869i	0.0571102	+	0.123762i
$118$	7.01426			0.645715
$119$	3.21582	+	9.53767i	0.294794	+	0.874317i
$120$	2.01229	−	6.33799i	0.183696	−	0.578577i
$121$	−3.03601	+	1.75284i	−0.276001	+	0.159349i
$122$	−6.05895	−	1.62349i	−0.548552	−	0.146984i
$123$	2.83605	−	8.93254i	0.255718	−	0.805420i
$124$	1.80530	+	6.73749i	0.162121	+	0.605044i
$125$	−8.38249	−	8.38249i	−0.749753	−	0.749753i
$126$	−3.40960	−	1.25645i	−0.303751	−	0.111933i
$127$			16.3341i			1.44942i	0.689056	+	0.724708i	$0.258025\pi$
$127$			16.3341i			1.44942i	−0.689056	+	0.724708i	$0.741975\pi$
$128$	9.82500	+	5.67247i	0.868416	+	0.501380i
$129$	−2.81949	−	1.80414i	−0.248242	−	0.158846i
$130$	−0.130091	+	0.485507i	−0.0114097	+	0.0425818i
$131$	−6.77835	−	1.81625i	−0.592227	−	0.158687i	−0.0497562	−	0.998761i	$-0.515844\pi$
$131$	−6.77835	−	1.81625i	−0.592227	−	0.158687i	−0.542471	+	0.840075i	$0.682511\pi$
$132$	5.60589	+	6.14234i	0.487930	+	0.534622i
$133$	−4.98888	−	18.6188i	−0.432591	−	1.61445i
$134$			6.16669i			0.532721i
$135$	9.87075	+	4.15809i	0.849539	+	0.357871i
$136$	−7.66402	+	0.486556i	−0.657185	+	0.0417218i
$137$	1.24302	−	2.15297i	0.106198	−	0.183940i	−0.808029	−	0.589143i	$-0.799466\pi$
$137$	1.24302	−	2.15297i	0.106198	−	0.183940i	0.914227	+	0.405202i	$0.132799\pi$
$138$	−1.25172	+	1.14240i	−0.106553	+	0.0972473i
$139$	−5.08618	−	1.36284i	−0.431404	−	0.115594i	0.0365810	−	0.999331i	$-0.488353\pi$
$139$	−5.08618	−	1.36284i	−0.431404	−	0.115594i	−0.467985	+	0.883736i	$0.655020\pi$
$140$	4.41258	+	7.64281i	0.372931	+	0.645935i
$141$	3.54390	−	5.53836i	0.298451	−	0.466414i
$142$	2.11022	−	0.565433i	0.177086	−	0.0474501i
$143$	−0.951325	−	0.951325i	−0.0795538	−	0.0795538i
$144$	−4.47081	+	6.33098i	−0.372567	+	0.527581i
$145$		−	8.93199i		−	0.741762i
$146$	6.94178	−	1.86004i	0.574506	−	0.153938i
$147$	−1.60048	+	0.829098i	−0.132006	+	0.0683829i
$148$	−3.28290	−	0.879652i	−0.269853	−	0.0723069i
$149$	−2.81529	−	4.87622i	−0.230637	−	0.399475i	0.727359	−	0.686258i	$-0.240748\pi$
$149$	−2.81529	−	4.87622i	−0.230637	−	0.399475i	−0.957996	+	0.286782i	$0.907414\pi$
$150$	−0.296896	−	0.573125i	−0.0242415	−	0.0467955i
$151$	−10.3635	−	5.98339i	−0.843373	−	0.486922i	0.0150364	−	0.999887i	$-0.495214\pi$
$151$	−10.3635	−	5.98339i	−0.843373	−	0.486922i	−0.858409	+	0.512965i	$0.828547\pi$
$152$	14.7067			1.19287
$153$	0.344588	−	12.3645i	0.0278583	−	0.999612i
$154$	3.31588			0.267201
$155$	−7.09973	−	4.09903i	−0.570264	−	0.329242i
$156$	0.804632	−	1.25747i	0.0644221	−	0.100678i
$157$	2.40822	+	4.17115i	0.192197	+	0.332894i	0.945978	−	0.324231i	$-0.105106\pi$
$157$	2.40822	+	4.17115i	0.192197	+	0.332894i	−0.753781	+	0.657125i	$0.771772\pi$
$158$	5.21876	+	1.39836i	0.415183	+	0.111248i
$159$	−0.560503	+	12.2748i	−0.0444507	+	0.973453i
$160$	−9.96910	+	2.67121i	−0.788127	+	0.211178i
$161$		−	4.81380i		−	0.379380i
$162$	3.39777	+	2.89765i	0.266954	+	0.227661i
$163$	0.560057	+	0.560057i	0.0438670	+	0.0438670i	0.728700	−	0.684833i	$-0.240125\pi$
$163$	0.560057	+	0.560057i	0.0438670	+	0.0438670i	−0.684833	+	0.728700i	$0.740125\pi$
$164$	−9.16634	+	2.45611i	−0.715771	+	0.191790i
$165$	−9.76370	−	0.445839i	−0.760103	−	0.0347086i
$166$	0.617326	+	1.06924i	0.0479138	+	0.0829891i
$167$	−24.4631	−	6.55487i	−1.89301	−	0.507231i	−0.998144	−	0.0609007i	$-0.980603\pi$
$167$	−24.4631	−	6.55487i	−1.89301	−	0.507231i	−0.894868	−	0.446330i	$-0.852731\pi$
$168$	1.68915	+	7.69198i	0.130321	+	0.593449i
$169$	6.37924	−	11.0492i	0.490711	−	0.849936i
$170$	2.78692	−	3.16476i	0.213747	−	0.242726i
$171$	−2.15883	+	23.5895i	−0.165090	+	1.80393i
$172$			3.38936i			0.258437i
$173$	5.52515	+	20.6201i	0.420069	+	1.56772i	0.774461	+	0.632622i	$0.218021\pi$
$173$	5.52515	+	20.6201i	0.420069	+	1.56772i	−0.354391	+	0.935097i	$0.615312\pi$
$174$	1.12690	−	3.54934i	0.0854303	−	0.269074i
$175$	1.77100	+	0.474538i	0.133875	+	0.0358717i
$176$	1.83049	−	6.83149i	0.137978	−	0.514943i
$177$	21.7415	−	11.2627i	1.63419	−	0.846559i
$178$	7.07474	+	4.08460i	0.530274	+	0.306154i
$179$		−	15.4384i		−	1.15392i	−0.816773	−	0.576959i	$-0.804239\pi$
$179$		−	15.4384i		−	1.15392i	0.816773	−	0.576959i	$-0.195761\pi$
$180$	−1.84058	−	10.6880i	−0.137189	−	0.796640i
$181$	−4.51638	−	4.51638i	−0.335700	−	0.335700i	0.519046	−	0.854746i	$-0.326287\pi$
$181$	−4.51638	−	4.51638i	−0.335700	−	0.335700i	−0.854746	+	0.519046i	$0.826287\pi$
$182$	−0.154066	−	0.574982i	−0.0114201	−	0.0426205i
$183$	−21.3872	+	4.69662i	−1.58099	+	0.347184i
$184$	3.54763	+	0.950585i	0.261535	+	0.0700780i
$185$	3.45941	−	1.99729i	0.254341	−	0.146844i
$186$	−2.30409	−	2.52458i	−0.168944	−	0.185111i
$187$	3.60628	+	10.6957i	0.263717	+	0.782148i
$188$	−6.65777			−0.485568
$189$	−12.5859	+	1.58028i	−0.915489	+	0.114948i
$190$	−5.71040	+	5.71040i	−0.414276	+	0.414276i
$191$	2.33353	−	4.04179i	0.168848	−	0.292454i	−0.769167	−	0.639048i	$-0.779329\pi$
$191$	2.33353	−	4.04179i	0.168848	−	0.292454i	0.938015	+	0.346594i	$0.112662\pi$
$192$	4.64166	+	0.211952i	0.334983	+	0.0152963i
$193$	−4.00359	+	14.9416i	−0.288185	+	1.07552i	0.658295	+	0.752760i	$0.271278\pi$
$193$	−4.00359	+	14.9416i	−0.288185	+	1.07552i	−0.946480	+	0.322761i	$0.895389\pi$
$194$	−0.779383	+	2.90870i	−0.0559564	+	0.208832i
$195$	0.376342	+	1.71377i	0.0269504	+	0.122725i
$196$	1.58061	+	0.912565i	0.112901	+	0.0651832i
$197$	5.39722	+	5.39722i	0.384536	+	0.384536i	0.872733	−	0.488197i	$-0.162345\pi$
$197$	5.39722	+	5.39722i	0.384536	+	0.384536i	−0.488197	+	0.872733i	$0.662345\pi$
$198$	−3.82359	−	1.40900i	−0.271730	−	0.100133i
$199$	−3.84541	+	3.84541i	−0.272594	+	0.272594i	−0.830144	−	0.557550i	$-0.811742\pi$
$199$	−3.84541	+	3.84541i	−0.272594	+	0.272594i	0.557550	+	0.830144i	$0.311742\pi$
$200$	−0.699442	+	1.21147i	−0.0494580	+	0.0856638i
$201$	9.90180	+	19.1143i	0.698419	+	1.34822i
$202$	0.446857	−	0.257993i	0.0314408	−	0.0181523i
$203$	5.28904	+	9.16089i	0.371218	+	0.642969i
$204$	−10.7337	+	6.45410i	−0.751512	+	0.451878i
$205$	5.57673	−	9.65917i	0.389495	−	0.674626i
$206$		−	5.08261i		−	0.354122i
$207$	−2.04550	+	5.55086i	−0.142172	+	0.385811i
$208$	−1.26965			−0.0880343
$209$	−5.59462	−	20.8794i	−0.386988	−	1.44426i
$210$	−3.64257	−	2.33082i	−0.251361	−	0.160842i
$211$	0.553540	−	2.06584i	0.0381073	−	0.142218i	−0.944251	−	0.329226i	$-0.893212\pi$
$211$	0.553540	−	2.06584i	0.0381073	−	0.142218i	0.982358	+	0.187008i	$0.0598789\pi$
$212$	10.7750	−	6.22097i	0.740033	−	0.427258i
$213$	5.63296	−	5.14099i	0.385964	−	0.352255i
$214$	−5.77100	+	1.54633i	−0.394497	+	0.105705i
$215$	−2.81683	−	2.81683i	−0.192106	−	0.192106i
$216$	1.32073	−	9.58751i	0.0898643	−	0.652347i
$217$	9.70890			0.659083
$218$	−1.34271	−	5.01106i	−0.0909398	−	0.339392i
$219$	18.5301	−	16.9118i	1.25215	−	1.14279i
$220$	4.94834	+	8.57077i	0.333617	+	0.577841i
$221$	1.68711	−	1.12229i	0.113487	−	0.0754937i
$222$	1.62667	−	0.357215i	0.109175	−	0.0239747i
$223$	21.0868	+	12.1744i	1.41207	+	0.815261i	0.995584	−	0.0938788i	$-0.0299266\pi$
$223$	21.0868	+	12.1744i	1.41207	+	0.815261i	0.416490	+	0.909140i	$0.363260\pi$
$224$	8.64283	−	8.64283i	0.577473	−	0.577473i
$225$	−1.84052	−	1.29974i	−0.122702	−	0.0866494i
$226$	0.550722	−	0.550722i	0.0366335	−	0.0366335i
$227$	1.20006	−	0.321554i	0.0796505	−	0.0213423i	−0.218774	−	0.975776i	$-0.570206\pi$
$227$	1.20006	−	0.321554i	0.0796505	−	0.0213423i	0.298424	+	0.954433i	$0.403539\pi$
$228$	21.2976	−	11.0328i	1.41047	−	0.730666i
$229$	−12.1986	+	7.04286i	−0.806106	+	0.465405i	−0.845602	−	0.533814i	$-0.820758\pi$
$229$	−12.1986	+	7.04286i	−0.806106	+	0.465405i	0.0394958	+	0.999220i	$0.487425\pi$
$230$	−1.74660	+	1.00840i	−0.115167	+	0.0664918i
$231$	10.2779	−	5.32427i	0.676237	−	0.350311i
$232$	−7.79575	+	2.08886i	−0.511816	+	0.137141i
$233$	12.4052	−	12.4052i	0.812690	−	0.812690i	−0.172346	−	0.985036i	$-0.555135\pi$
$233$	12.4052	−	12.4052i	0.812690	−	0.812690i	0.985036	+	0.172346i	$0.0551348\pi$
$234$	−0.0666687	+	0.728487i	−0.00435827	+	0.0476227i
$235$	5.53313	−	5.53313i	0.360942	−	0.360942i
$236$	−21.4715	−	12.3966i	−1.39768	−	0.806948i
$237$	18.4215	−	4.04534i	1.19660	−	0.262773i
$238$	−0.984335	+	4.89613i	−0.0638049	+	0.317369i
$239$	3.00377	+	5.20267i	0.194297	+	0.336533i	0.946670	−	0.322205i	$-0.104424\pi$
$239$	3.00377	+	5.20267i	0.194297	+	0.336533i	−0.752373	+	0.658738i	$0.771091\pi$
$240$	−6.81288	+	6.21786i	−0.439769	+	0.401361i
$241$	1.43353	+	5.35001i	0.0923418	+	0.344624i	0.996603	−	0.0823553i	$-0.0262442\pi$
$241$	1.43353	+	5.35001i	0.0923418	+	0.344624i	−0.904261	+	0.426980i	$0.859578\pi$
$242$	−1.73943			−0.111815
$243$	15.1845	+	3.52583i	0.974085	+	0.226182i
$244$	15.6779	+	15.6779i	1.00368	+	1.00368i
$245$	−2.07202	+	0.555197i	−0.132377	+	0.0354702i
$246$	3.43469	−	3.13471i	0.218988	−	0.199862i
$247$	−3.36060	+	1.94024i	−0.213830	+	0.123455i
$248$	−1.91723	+	7.15518i	−0.121744	+	0.454355i
$249$	3.63034	+	2.32299i	0.230063	+	0.147214i
$250$	−1.52236	−	5.68153i	−0.0962826	−	0.359332i
$251$	−8.82091			−0.556771			−0.278385	−	0.960469i	$-0.589799\pi$
$251$	−8.82091			−0.556771			−0.278385	+	0.960469i	$0.589799\pi$
$252$	8.21664	+	9.87205i	0.517599	+	0.621881i
$253$		−	5.39827i		−	0.339386i
$254$	−4.05227	+	7.01874i	−0.254262	+	0.440395i
$255$	3.55672	−	14.2845i	0.222730	−	0.894527i
$256$	0.131871	+	0.228406i	0.00824191	+	0.0142754i
$257$	18.7544	−	10.8279i	1.16987	−	0.675423i	0.216218	−	0.976345i	$-0.430628\pi$
$257$	18.7544	−	10.8279i	1.16987	−	0.675423i	0.953649	+	0.300922i	$0.0972944\pi$
$258$	−0.763948	−	1.47472i	−0.0475613	−	0.0918118i
$259$	−2.36538	+	4.09695i	−0.146977	+	0.254572i
$260$	1.25628	−	1.25628i	0.0779112	−	0.0779112i
$261$	−2.20618	−	12.8110i	−0.136559	−	0.792982i
$262$	−2.46206	−	2.46206i	−0.152106	−	0.152106i
$263$	−19.2390	−	11.1076i	−1.18633	−	0.684926i	−0.228858	−	0.973460i	$-0.573499\pi$
$263$	−19.2390	−	11.1076i	−1.18633	−	0.684926i	−0.957470	+	0.288533i	$0.906832\pi$
$264$	1.89425	+	8.62592i	0.116583	+	0.530889i
$265$	−3.78479	+	14.1250i	−0.232498	+	0.867694i
$266$	2.47535	−	9.23813i	0.151773	−	0.566426i
$267$	28.4875	+	1.30082i	1.74341	+	0.0796092i
$268$	10.8986	−	18.8770i	0.665740	−	1.15310i
$269$	−21.4314	+	21.4314i	−1.30670	+	1.30670i	−0.382911	+	0.923785i	$0.625078\pi$
$269$	−21.4314	+	21.4314i	−1.30670	+	1.30670i	−0.923785	+	0.382911i	$0.874922\pi$
$270$	3.20988	+	4.23552i	0.195347	+	0.257766i
$271$	−21.9833			−1.33539			−0.667695	−	0.744435i	$-0.732719\pi$
$271$	−21.9833			−1.33539			−0.667695	+	0.744435i	$0.732719\pi$
$272$	9.54378	+	4.73081i	0.578677	+	0.286848i
$273$	−1.40079	−	1.53484i	−0.0847795	−	0.0928925i
$274$	1.06824	−	0.616751i	0.0645350	−	0.0372593i
$275$	1.98603	+	0.532155i	0.119762	+	0.0320902i
$276$	5.85067	−	1.28480i	0.352169	−	0.0773360i
$277$	0.159516	+	0.595320i	0.00958436	+	0.0357693i	0.970552	−	0.240890i	$-0.0774393\pi$
$277$	0.159516	+	0.595320i	0.00958436	+	0.0357693i	−0.960968	+	0.276659i	$0.910773\pi$
$278$	−1.84742	−	1.84742i	−0.110801	−	0.110801i
$279$	−11.1955	−	4.12556i	−0.670256	−	0.246991i
$280$			9.37227i			0.560100i
$281$	−3.36542	−	1.94303i	−0.200764	−	0.115911i	0.396248	−	0.918144i	$-0.370312\pi$
$281$	−3.36542	−	1.94303i	−0.200764	−	0.115911i	−0.597012	+	0.802232i	$0.703645\pi$
$282$	2.89680	−	1.50063i	0.172502	−	0.0893614i
$283$	−3.92508	+	14.6486i	−0.233322	+	0.870770i	0.745576	+	0.666421i	$0.232174\pi$
$283$	−3.92508	+	14.6486i	−0.233322	+	0.870770i	−0.978898	+	0.204349i	$0.934492\pi$
$284$	−7.45896	−	1.99862i	−0.442608	−	0.118596i
$285$	−8.53087	+	26.8692i	−0.505325	+	1.59159i
$286$	−0.172772	−	0.644794i	−0.0102162	−	0.0381275i
$287$			13.2089i			0.779699i
$288$	−13.6387	+	6.29362i	−0.803670	+	0.370855i
$289$	−16.8635	+	2.14985i	−0.991971	+	0.126462i
$290$	2.21591	−	3.83806i	0.130123	−	0.225379i
$291$	2.25469	+	10.2673i	0.132172	+	0.601878i
$292$	−24.5369	−	6.57465i	−1.43592	−	0.384753i
$293$	9.92642	+	17.1931i	0.579908	+	1.00443i	0.995489	+	0.0948738i	$0.0302448\pi$
$293$	9.92642	+	17.1931i	0.579908	+	1.00443i	−0.415582	+	0.909556i	$0.636422\pi$
$294$	−0.893413	−	0.0407959i	−0.0521049	−	0.00237926i
$295$	28.1470	−	7.54197i	1.63878	−	0.439111i
$296$	−2.55224	−	2.55224i	−0.148346	−	0.148346i
$297$	−14.1140	+	1.77215i	−0.818980	+	0.102830i
$298$		−	2.79374i		−	0.161837i
$299$	−0.936075	+	0.250820i	−0.0541346	+	0.0145053i
$300$	−0.104071	+	2.27912i	−0.00600857	+	0.131585i
$301$	4.55699	+	1.22104i	0.262660	+	0.0703796i
$302$	−2.96880	−	5.14211i	−0.170835	−	0.295895i
$303$	0.970826	−	1.51719i	0.0557725	−	0.0871605i
$304$	−17.6662	−	10.1996i	−1.01323	−	0.584988i
$305$	−26.0592			−1.49214
$306$	3.21554	−	5.22753i	0.183820	−	0.298838i
$307$	−1.85011			−0.105591			−0.0527956	−	0.998605i	$-0.516813\pi$
$307$	−1.85011			−0.105591			−0.0527956	+	0.998605i	$0.516813\pi$
$308$	−10.1503	−	5.86028i	−0.578367	−	0.333920i
$309$	−8.16109	−	15.7541i	−0.464268	−	0.896219i
$310$	−2.03383	−	3.52270i	−0.115514	−	0.200076i
$311$	−20.2526	−	5.42666i	−1.14842	−	0.307718i	−0.366087	−	0.930581i	$-0.619303\pi$
$311$	−20.2526	−	5.42666i	−1.14842	−	0.307718i	−0.782331	+	0.622863i	$0.785969\pi$
$312$	1.40775	−	0.729255i	0.0796979	−	0.0412859i
$313$	1.24367	−	0.333242i	0.0702966	−	0.0188359i	−0.223499	−	0.974704i	$-0.571748\pi$
$313$	1.24367	−	0.333242i	0.0702966	−	0.0188359i	0.293796	+	0.955868i	$0.405081\pi$
$314$			2.38978i			0.134863i
$315$	−15.0331	−	1.37578i	−0.847021	−	0.0775165i
$316$	−13.5039	−	13.5039i	−0.759653	−	0.759653i
$317$	21.6451	−	5.79979i	1.21571	−	0.325749i	0.406711	−	0.913557i	$-0.366676\pi$
$317$	21.6451	−	5.79979i	1.21571	−	0.325749i	0.809000	+	0.587808i	$0.200009\pi$
$318$	−3.28606	+	5.13540i	−0.184273	+	0.287979i
$319$	5.93122	+	10.2732i	0.332085	+	0.575188i
$320$	5.34132	+	1.43120i	0.298589	+	0.0800067i
$321$	−15.4049	+	14.0595i	−0.859818	+	0.784723i
$322$	1.19424	−	2.06848i	0.0665523	−	0.115272i
$323$	32.4907	−	2.06269i	1.80783	−	0.114771i
$324$	−5.27984	−	14.8751i	−0.293324	−	0.826393i
$325$		−	0.369109i		−	0.0204745i
$326$	0.101713	+	0.379598i	0.00563336	+	0.0210240i
$327$	−12.2081	−	13.3763i	−0.675109	−	0.739714i
$328$	−9.73461	−	2.60838i	−0.537504	−	0.144024i
$329$	−2.39851	+	8.95135i	−0.132234	+	0.493504i
$330$	−4.08484	−	2.61382i	−0.224863	−	0.143886i
$331$	12.9153	+	7.45664i	0.709888	+	0.409854i	0.811020	−	0.585019i	$-0.198913\pi$
$331$	12.9153	+	7.45664i	0.709888	+	0.409854i	−0.101132	+	0.994873i	$0.532246\pi$
$332$		−	4.36410i		−	0.239511i
$333$	4.46845	−	3.71915i	0.244870	−	0.203808i
$334$	−8.88559	−	8.88559i	−0.486198	−	0.486198i
$335$	6.63064	+	24.7459i	0.362270	+	1.35201i
$336$	3.30559	−	10.4114i	0.180335	−	0.567989i
$337$	2.85860	+	0.765960i	0.155718	+	0.0417245i	0.335836	−	0.941921i	$-0.390981\pi$
$337$	2.85860	+	0.765960i	0.155718	+	0.0417245i	−0.180118	+	0.983645i	$0.557648\pi$
$338$	5.48230	−	3.16521i	0.298198	−	0.172165i
$339$	0.822733	−	2.59131i	0.0446847	−	0.140741i
$340$	−14.1243	+	4.76229i	−0.765997	+	0.258272i
$341$	10.8877			0.589603
$342$	−6.77988	+	9.60079i	−0.366614	+	0.519151i
$343$	13.8796	−	13.8796i	0.749426	−	0.749426i
$344$	−1.79974	+	3.11725i	−0.0970357	+	0.168071i
$345$	−3.79459	+	5.93014i	−0.204294	+	0.319268i
$346$	−2.74143	+	10.2312i	−0.147380	+	0.550030i
$347$	−4.97978	+	18.5848i	−0.267329	+	0.997684i	0.693481	+	0.720475i	$0.256076\pi$
$347$	−4.97978	+	18.5848i	−0.267329	+	0.997684i	−0.960810	+	0.277209i	$0.910590\pi$
$348$	−9.72246	+	8.87333i	−0.521179	+	0.475660i
$349$	21.4371	+	12.3767i	1.14750	+	0.662511i	0.948277	−	0.317443i	$-0.102824\pi$
$349$	21.4371	+	12.3767i	1.14750	+	0.662511i	0.199225	+	0.979954i	$0.436157\pi$
$350$	0.643270	+	0.643270i	0.0343842	+	0.0343842i
$351$	0.963077	+	2.36507i	0.0514053	+	0.126238i
$352$	9.69222	−	9.69222i	0.516597	−	0.516597i
$353$	−9.79324	+	16.9624i	−0.521241	+	0.902816i	0.478454	+	0.878113i	$0.341198\pi$
$353$	−9.79324	+	16.9624i	−0.521241	+	0.902816i	−0.999695	+	0.0247035i	$0.992136\pi$
$354$	12.1364	+	0.554184i	0.645043	+	0.0294546i
$355$	7.86000	−	4.53797i	0.417165	−	0.240851i
$356$	−14.4378	−	25.0069i	−0.765199	−	1.32536i
$357$	4.81061	+	16.7566i	0.254605	+	0.886854i
$358$	3.83005	−	6.63384i	0.202425	−	0.350610i
$359$			1.84645i			0.0974520i	0.998812	+	0.0487260i	$0.0155161\pi$
$359$			1.84645i			0.0974520i	−0.998812	+	0.0487260i	$0.984484\pi$
$360$	3.98252	−	10.8073i	0.209897	−	0.569595i
$361$	−43.3471			−2.28143
$362$	−0.820228	−	3.06113i	−0.0431103	−	0.160890i
$363$	−5.39154	+	2.79298i	−0.282982	+	0.146593i
$364$	−0.544573	+	2.03238i	−0.0285434	+	0.106525i
$365$	25.8562	−	14.9281i	1.35337	−	0.781371i
$366$	−10.3552	−	3.28775i	−0.541276	−	0.171853i
$367$	0.124895	−	0.0334654i	0.00651945	−	0.00174688i	−0.255558	−	0.966794i	$-0.582259\pi$
$367$	0.124895	−	0.0334654i	0.00651945	−	0.00174688i	0.262077	+	0.965047i	$0.415592\pi$
$368$	−3.60229	−	3.60229i	−0.187783	−	0.187783i
$369$	5.61282	−	15.2314i	0.292192	−	0.792916i
$370$	1.98201			0.103040
$371$	−4.48230	−	16.7282i	−0.232709	−	0.868483i
$372$	2.59131	+	11.8002i	0.134353	+	0.611810i
$373$	−9.00845	−	15.6031i	−0.466440	−	0.807897i	0.532825	−	0.846225i	$-0.321130\pi$
$373$	−9.00845	−	15.6031i	−0.466440	−	0.807897i	−0.999265	+	0.0383278i	$0.987797\pi$
$374$	−1.10385	+	5.49060i	−0.0570787	+	0.283912i
$375$	−13.8415	−	15.1661i	−0.714772	−	0.783173i
$376$	−6.12325	−	3.53526i	−0.315783	−	0.182317i
$377$	1.50581	−	1.50581i	0.0775534	−	0.0775534i
$378$	−5.80019	−	2.44335i	−0.298329	−	0.125672i
$379$	9.82504	−	9.82504i	0.504679	−	0.504679i	−0.408210	−	0.912888i	$-0.633847\pi$
$379$	9.82504	−	9.82504i	0.504679	−	0.504679i	0.912888	+	0.408210i	$0.133847\pi$
$380$	27.5724	−	7.38801i	1.41444	−	0.378997i
$381$	−1.29053	+	28.2620i	−0.0661157	+	1.44791i
$382$	2.00543	−	1.15783i	0.102607	−	0.0592400i
$383$	−27.5889	+	15.9285i	−1.40973	+	0.813906i	−0.995362	−	0.0962049i	$-0.969330\pi$
$383$	−27.5889	+	15.9285i	−1.40973	+	0.813906i	−0.414365	+	0.910111i	$0.635996\pi$
$384$	16.5515	+	10.5910i	0.844641	+	0.540471i
$385$	13.3060	−	3.56534i	0.678139	−	0.181707i
$386$	−5.42715	+	5.42715i	−0.276235	+	0.276235i
$387$	−4.73588	−	3.34438i	−0.240738	−	0.170004i
$388$	7.52644	−	7.52644i	0.382097	−	0.382097i
$389$	26.9646	+	15.5680i	1.36716	+	0.789329i	0.990564	−	0.137049i	$-0.0437618\pi$
$389$	26.9646	+	15.5680i	1.36716	+	0.789329i	0.376594	+	0.926378i	$0.377095\pi$
$390$	−0.263449	+	0.829769i	−0.0133403	+	0.0420170i
$391$	7.97093	+	1.60250i	0.403107	+	0.0810422i
$392$	0.969140	+	1.67860i	0.0489490	+	0.0847821i
$393$	−11.5847	−	3.67811i	−0.584372	−	0.185536i
$394$	0.980199	+	3.65815i	0.0493817	+	0.184295i
$395$	22.4456			1.12936
$396$	9.21428	+	11.0707i	0.463035	+	0.556323i
$397$	−11.4869	−	11.4869i	−0.576510	−	0.576510i	0.357430	−	0.933940i	$-0.383653\pi$
$397$	−11.4869	−	11.4869i	−0.576510	−	0.576510i	−0.933940	+	0.357430i	$0.883653\pi$
$398$	−2.60636	+	0.698373i	−0.130645	+	0.0350063i
$399$	−7.16097	−	32.6092i	−0.358497	−	1.63250i
$400$	1.68040	−	0.970178i	0.0840199	−	0.0485089i
$401$	−3.44602	+	12.8607i	−0.172086	+	0.642233i	0.824944	+	0.565215i	$0.191207\pi$
$401$	−3.44602	+	12.8607i	−0.172086	+	0.642233i	−0.997030	+	0.0770186i	$0.975460\pi$
$402$	−0.487219	+	10.6699i	−0.0243003	+	0.532166i
$403$	−0.505878	−	1.88796i	−0.0251996	−	0.0940460i
$404$	−1.82385			−0.0907397
$405$	16.7503	+	7.97439i	0.832330	+	0.396251i
$406$			5.24856i			0.260482i
$407$	−2.65257	+	4.59439i	−0.131483	+	0.227736i
$408$	−13.2991	+	0.236341i	−0.658404	+	0.0117006i
$409$	11.3834	+	19.7166i	0.562872	+	0.974922i	0.997244	+	0.0741889i	$0.0236368\pi$
$409$	11.3834	+	19.7166i	0.562872	+	0.974922i	−0.434373	+	0.900733i	$0.643030\pi$
$410$	4.79262	−	2.76702i	0.236691	−	0.136653i
$411$	2.32083	−	3.62696i	0.114478	−	0.178905i
$412$	−8.98269	+	15.5585i	−0.442545	+	0.766511i
$413$	−24.4024	+	24.4024i	−1.20076	+	1.20076i
$414$	−2.25604	+	1.87773i	−0.110879	+	0.0922856i
$415$	3.62691	+	3.62691i	0.178038	+	0.178038i
$416$	−2.13099	−	1.23033i	−0.104480	−	0.0603217i
$417$	−8.69268	−	2.75990i	−0.425682	−	0.135153i
$418$	2.77590	−	10.3598i	0.135774	−	0.506714i
$419$	5.48935	−	20.4865i	0.268172	−	1.00083i	−0.692107	−	0.721795i	$-0.743318\pi$
$419$	5.48935	−	20.4865i	0.268172	−	1.00083i	0.960280	−	0.279039i	$-0.0900158\pi$
$420$	7.03101	+	13.5726i	0.343078	+	0.662274i
$421$	7.22783	−	12.5190i	0.352263	−	0.610137i	−0.634383	−	0.773019i	$-0.718746\pi$
$421$	7.22783	−	12.5190i	0.352263	−	0.610137i	0.986646	+	0.162882i	$0.0520790\pi$
$422$	0.750362	−	0.750362i	0.0365271	−	0.0365271i
$423$	6.56941	−	9.30275i	0.319416	−	0.452315i
$424$	13.2133			0.641694
$425$	−1.37533	+	2.77454i	−0.0667132	+	0.134585i
$426$	3.69589	−	0.811614i	0.179066	−	0.0393228i
$427$	26.7270	−	15.4308i	1.29341	−	0.746750i
$428$	20.3986	+	5.46579i	0.986004	+	0.264199i
$429$	−1.57087	−	1.72119i	−0.0758421	−	0.0830999i
$430$	−0.511570	−	1.90920i	−0.0246701	−	0.0920700i
$431$	−11.4023	−	11.4023i	−0.549231	−	0.549231i	0.376987	−	0.926218i	$-0.376960\pi$
$431$	−11.4023	−	11.4023i	−0.549231	−	0.549231i	−0.926218	+	0.376987i	$0.876960\pi$
$432$	−8.23580	+	10.6009i	−0.396245	+	0.510037i
$433$		−	2.48522i		−	0.119432i	−0.998215	−	0.0597159i	$-0.980981\pi$
$433$		−	2.48522i		−	0.119432i	0.998215	−	0.0597159i	$-0.0190195\pi$
$434$	4.17190	+	2.40865i	0.200258	+	0.115619i
$435$	0.705701	−	15.4546i	0.0338358	−	0.740990i
$436$	−4.74604	+	17.7125i	−0.227294	+	0.848274i
$437$	−15.0398	−	4.02989i	−0.719449	−	0.192776i
$438$	12.1580	−	2.66988i	0.580930	−	0.127572i
$439$	−4.77432	−	17.8180i	−0.227866	−	0.850408i	−0.981236	−	0.192811i	$-0.938240\pi$
$439$	−4.77432	−	17.8180i	−0.227866	−	0.850408i	0.753370	−	0.657597i	$-0.228427\pi$
$440$			10.5102i			0.501055i
$441$	−2.83474	+	1.30809i	−0.134987	+	0.0622902i
$442$	1.00337	−	0.0636998i	0.0477256	−	0.00302989i
$443$	1.25422	−	2.17237i	0.0595898	−	0.103213i	−0.834692	−	0.550718i	$-0.814354\pi$
$443$	1.25422	−	2.17237i	0.0595898	−	0.103213i	0.894281	+	0.447505i	$0.147687\pi$
$444$	−5.61074	−	1.78139i	−0.266274	−	0.0845411i
$445$	32.7816	+	8.78381i	1.55400	+	0.416392i
$446$	6.04063	+	10.4627i	0.286032	+	0.495423i
$447$	−4.48588	−	8.65949i	−0.212175	−	0.409580i
$448$	−6.32569	+	1.69496i	−0.298861	+	0.0800794i
$449$	6.53904	+	6.53904i	0.308596	+	0.308596i	0.844365	−	0.535769i	$-0.179978\pi$
$449$	6.53904	+	6.53904i	0.308596	+	0.308596i	−0.535769	+	0.844365i	$0.679978\pi$
$450$	−0.468422	−	1.01511i	−0.0220816	−	0.0478526i
$451$			14.8127i			0.697504i
$452$	−2.65914	+	0.712514i	−0.125075	+	0.0335138i
$453$	−17.4588	−	11.1716i	−0.820284	−	0.524886i
$454$	0.595436	+	0.159546i	0.0279452	+	0.00748789i
$455$	−1.23648	−	2.14165i	−0.0579671	−	0.100402i
$456$	25.4462	+	1.16195i	1.19163	+	0.0544132i
$457$	−3.35979	−	1.93978i	−0.157164	−	0.0907389i	0.419355	−	0.907822i	$-0.362256\pi$
$457$	−3.35979	−	1.93978i	−0.157164	−	0.0907389i	−0.576520	+	0.817083i	$0.695590\pi$
$458$	−6.98896			−0.326573
$459$	1.57312	−	21.3665i	0.0734270	−	0.997301i
$460$	7.12873			0.332379
$461$	11.7241	+	6.76892i	0.546047	+	0.315260i	0.747526	−	0.664233i	$-0.231242\pi$
$461$	11.7241	+	6.76892i	0.546047	+	0.315260i	−0.201479	+	0.979493i	$0.564575\pi$
$462$	5.73729	+	0.261981i	0.266923	+	0.0121885i
$463$	−0.131954	−	0.228552i	−0.00613244	−	0.0106217i	0.862943	−	0.505301i	$-0.168619\pi$
$463$	−0.131954	−	0.228552i	−0.00613244	−	0.0106217i	−0.869075	+	0.494680i	$0.835285\pi$
$464$	10.8133	+	2.89741i	0.501994	+	0.134509i
$465$	−11.9604	−	7.65328i	−0.554652	−	0.354912i
$466$	8.40805	−	2.25293i	0.389495	−	0.104365i
$467$			8.05129i			0.372569i	0.982496	+	0.186285i	$0.0596446\pi$
$467$			8.05129i			0.372569i	−0.982496	+	0.186285i	$0.940355\pi$
$468$	1.49156	−	2.11216i	0.0689475	−	0.0976346i
$469$	−21.4537	−	21.4537i	−0.990641	−	0.990641i
$470$	3.75027	−	1.00488i	0.172987	−	0.0463518i
$471$	3.83726	+	7.40740i	0.176811	+	0.341315i
$472$	−13.1651	−	22.8026i	−0.605973	−	1.04958i
$473$	5.11028	+	1.36930i	0.234971	+	0.0629603i
$474$	8.91927	+	2.83184i	0.409676	+	0.130071i
$475$	2.96520	−	5.13588i	0.136053	−	0.235650i
$476$	11.6663	−	13.2480i	0.534723	−	0.607220i
$477$	−1.93962	+	21.1941i	−0.0888090	+	0.970412i
$478$			2.98078i			0.136337i
$479$	−5.71979	−	21.3466i	−0.261344	−	0.975349i	−0.964450	−	0.264264i	$-0.914871\pi$
$479$	−5.71979	−	21.3466i	−0.261344	−	0.975349i	0.703106	−	0.711085i	$-0.251796\pi$
$480$	−17.4601	+	3.83422i	−0.796939	+	0.175007i
$481$	0.919927	+	0.246494i	0.0419450	+	0.0112391i
$482$	−0.711279	+	2.65453i	−0.0323979	+	0.120911i
$483$	0.380329	−	8.32906i	0.0173056	−	0.378985i
$484$	5.32459	+	3.07415i	0.242027	+	0.139734i
$485$			12.5101i			0.568055i
$486$	5.65004	+	5.28211i	0.256291	+	0.239601i
$487$	8.07379	+	8.07379i	0.365858	+	0.365858i	0.865964	−	0.500106i	$-0.166706\pi$
$487$	8.07379	+	8.07379i	0.365858	+	0.365858i	−0.500106	+	0.865964i	$0.666706\pi$
$488$	6.09428	+	22.7442i	0.275875	+	1.02958i
$489$	0.924788	+	1.01329i	0.0418204	+	0.0458224i
$490$	−1.02808	−	0.275474i	−0.0464440	−	0.0124446i
$491$	−15.2231	+	8.78906i	−0.687009	+	0.396645i	−0.802490	−	0.596665i	$-0.796492\pi$
$491$	−15.2231	+	8.78906i	−0.687009	+	0.396645i	0.115482	+	0.993310i	$0.463159\pi$
$492$	−16.0541	+	3.52547i	−0.723774	+	0.158940i
$493$	−16.9298	+	5.70823i	−0.762480	+	0.257086i
$494$	−1.92539			−0.0866276
$495$	−16.8584	−	1.54283i	−0.757729	−	0.0693448i
$496$	7.26543	−	7.26543i	0.326228	−	0.326228i
$497$	−5.37428	+	9.30853i	−0.241070	+	0.417545i
$498$	0.983648	+	1.89882i	0.0440783	+	0.0850883i
$499$	9.75280	−	36.3979i	0.436595	−	1.62940i	−0.300625	−	0.953742i	$-0.597195\pi$
$499$	9.75280	−	36.3979i	0.436595	−	1.62940i	0.737220	−	0.675653i	$-0.236138\pi$
$500$	−5.38106	+	20.0824i	−0.240648	+	0.898111i
$501$	−41.8094	−	13.2743i	−1.86790	−	0.593054i
$502$	−3.79033	−	2.18835i	−0.169171	−	0.0976708i
$503$	−1.96127	−	1.96127i	−0.0874485	−	0.0874485i	0.662029	−	0.749478i	$-0.269695\pi$
$503$	−1.96127	−	1.96127i	−0.0874485	−	0.0874485i	−0.749478	+	0.662029i	$0.769695\pi$
$504$	2.31493	+	13.4425i	0.103115	+	0.598776i
$505$	1.51576	−	1.51576i	0.0674504	−	0.0674504i
$506$	1.33924	−	2.31963i	0.0595364	−	0.103120i
$507$	11.9106	−	18.6138i	0.528970	−	0.826667i
$508$	24.8090	−	14.3235i	1.10072	−	0.635501i
$509$	−6.69640	−	11.5985i	−0.296813	−	0.514095i	0.678592	−	0.734515i	$-0.262590\pi$
$509$	−6.69640	−	11.5985i	−0.296813	−	0.514095i	−0.975405	+	0.220420i	$0.929257\pi$
$510$	5.07210	−	5.25563i	0.224596	−	0.232723i
$511$	−17.6792	+	30.6213i	−0.782082	+	1.35461i
$512$		−	22.5590i		−	0.996977i
$513$	−5.59908	+	40.6451i	−0.247205	+	1.79452i
$514$	10.7450			0.473941
$515$	−5.46499	−	20.3956i	−0.240816	−	0.898739i
$516$	−0.267788	+	5.86444i	−0.0117887	+	0.258168i
$517$	−2.68973	+	10.0382i	−0.118294	+	0.441479i
$518$	−2.03280	+	1.17364i	−0.0893160	+	0.0515666i
$519$	7.93071	+	36.1145i	0.348120	+	1.58525i
$520$	1.82250	−	0.488338i	0.0799220	−	0.0214150i
$521$	25.1883	+	25.1883i	1.10352	+	1.10352i	0.993983	+	0.109539i	$0.0349373\pi$
$521$	25.1883	+	25.1883i	1.10352	+	1.10352i	0.109539	+	0.993983i	$0.465063\pi$
$522$	2.23025	−	6.05220i	0.0976153	−	0.264897i
$523$	37.2308			1.62799			0.813995	−	0.580871i	$-0.197288\pi$
$523$	37.2308			1.62799			0.813995	+	0.580871i	$0.197288\pi$
$524$	3.18537	+	11.8879i	0.139153	+	0.519327i
$525$	3.02678	+	0.960992i	0.132099	+	0.0419411i
$526$	−5.51131	−	9.54588i	−0.240305	−	0.416220i
$527$	−3.23208	+	16.0765i	−0.140791	+	0.700303i
$528$	3.70695	−	11.6755i	0.161324	−	0.508113i
$529$	16.5511	+	9.55577i	0.719612	+	0.415468i
$530$	−5.13055	+	5.13055i	−0.222857	+	0.222857i
$531$	38.5080	−	17.7696i	1.67110	−	0.771134i
$532$	−23.9043	+	23.9043i	−1.03638	+	1.03638i
$533$	2.56857	−	0.688246i	0.111257	−	0.0298112i
$534$	11.9183	+	7.62634i	0.515757	+	0.330024i
$535$	−21.4954	+	12.4103i	−0.929325	+	0.536546i
$536$	20.0473	−	11.5743i	0.865911	−	0.499934i
$537$	1.21976	−	26.7122i	0.0526364	−	1.15272i
$538$	−14.5259	+	3.89220i	−0.626256	+	0.167805i
$539$	2.01447	−	2.01447i	0.0867696	−	0.0867696i
$540$	−2.34022	−	18.6384i	−0.100707	−	0.802069i
$541$	21.6987	−	21.6987i	0.932900	−	0.932900i	−0.0649860	−	0.997886i	$-0.520700\pi$
$541$	21.6987	−	21.6987i	0.932900	−	0.932900i	0.997886	+	0.0649860i	$0.0207003\pi$
$542$	−9.44619	−	5.45376i	−0.405749	−	0.234259i
$543$	−7.45762	−	8.17129i	−0.320037	−	0.350663i
$544$	11.4341	+	17.1884i	0.490231	+	0.736948i
$545$	−10.7761	−	18.6648i	−0.461599	−	0.799512i
$546$	−0.221144	−	1.00703i	−0.00946409	−	0.0430971i
$547$	−1.95462	−	7.29476i	−0.0835737	−	0.311901i	0.911467	−	0.411374i	$-0.134951\pi$
$547$	−1.95462	−	7.29476i	−0.0835737	−	0.311901i	−0.995040	+	0.0994729i	$0.968284\pi$
$548$	−4.36003			−0.186251
$549$	−37.3762	+	6.43654i	−1.59518	+	0.274705i
$550$	0.721374	+	0.721374i	0.0307595	+	0.0307595i
$551$	33.0491	−	8.85549i	1.40794	−	0.377257i
$552$	6.06318	+	1.92504i	0.258066	+	0.0819351i
$553$	−23.0208	+	13.2911i	−0.978943	+	0.565193i
$554$	−0.0791473	+	0.295382i	−0.00336265	+	0.0125496i
$555$	6.14344	−	3.18249i	0.260775	−	0.135089i
$556$	2.39016	+	8.92021i	0.101365	+	0.378301i
$557$	5.09536			0.215897			0.107949	−	0.994156i	$-0.465572\pi$
$557$	5.09536			0.215897			0.107949	+	0.994156i	$0.465572\pi$
$558$	−3.78718	−	4.55019i	−0.160324	−	0.192625i
$559$		−	0.949759i		−	0.0401705i
$560$	6.50002	−	11.2584i	0.274676	−	0.475752i
$561$	5.39470	+	18.7912i	0.227765	+	0.793363i
$562$	−0.964077	−	1.66983i	−0.0406671	−	0.0704375i
$563$	37.3923	−	21.5884i	1.57590	−	0.909844i	0.580473	−	0.814280i	$-0.302868\pi$
$563$	37.3923	−	21.5884i	1.57590	−	0.909844i	0.995423	−	0.0955644i	$-0.0304656\pi$
$564$	−11.5196	−	0.526019i	−0.485062	−	0.0221494i
$565$	1.61780	−	2.80211i	0.0680612	−	0.117886i
$566$	−5.32073	+	5.32073i	−0.223647	+	0.223647i
$567$	−21.9016	+	1.73988i	−0.919780	+	0.0730681i
$568$	−5.79886	−	5.79886i	−0.243315	−	0.243315i
$569$	−0.227101	−	0.131117i	−0.00952058	−	0.00549671i	0.495232	−	0.868761i	$-0.335083\pi$
$569$	−0.227101	−	0.131117i	−0.00952058	−	0.00549671i	−0.504753	+	0.863264i	$0.668416\pi$
$570$	−10.3316	+	9.42924i	−0.432742	+	0.394948i
$571$	2.63364	−	9.82888i	0.110214	−	0.411326i	−0.888670	−	0.458547i	$-0.848370\pi$
$571$	2.63364	−	9.82888i	0.110214	−	0.411326i	0.998884	+	0.0472215i	$0.0150367\pi$
$572$	−0.610694	+	2.27914i	−0.0255344	+	0.0952956i
$573$	4.35692	−	6.80893i	0.182013	−	0.284447i
$574$	−3.27696	+	5.67586i	−0.136778	+	0.236906i
$575$	1.04725	−	1.04725i	0.0436733	−	0.0436733i
$576$	8.01447	+	0.733458i	0.333936	+	0.0305608i
$577$	−9.45675			−0.393689			−0.196845	−	0.980435i	$-0.563069\pi$
$577$	−9.45675			−0.393689			−0.196845	+	0.980435i	$0.563069\pi$
$578$	−7.77958	−	3.25983i	−0.323588	−	0.135591i
$579$	−8.10772	+	25.5364i	−0.336945	+	1.06126i
$580$	−13.5663	+	7.83252i	−0.563311	+	0.325228i
$581$	−5.86751	−	1.57220i	−0.243425	−	0.0652256i
$582$	−1.57834	+	4.97119i	−0.0654242	+	0.206062i
$583$	−5.02652	−	18.7592i	−0.208177	−	0.776928i
$584$	−19.0759	−	19.0759i	−0.789365	−	0.789365i
$585$	0.515764	+	2.99498i	0.0213242	+	0.123827i
$586$			9.85045i			0.406918i
$587$	−26.7949	−	15.4700i	−1.10594	−	0.638517i	−0.168168	−	0.985758i	$-0.553785\pi$
$587$	−26.7949	−	15.4700i	−1.10594	−	0.638517i	−0.937776	+	0.347241i	$0.887119\pi$
$588$	2.66275	+	1.70384i	0.109810	+	0.0702654i
$589$	8.12785	−	30.3335i	0.334902	−	1.24987i
$590$	13.9658	+	3.74213i	0.574963	+	0.154061i
$591$	8.91210	+	9.76495i	0.366595	+	0.401676i
$592$	1.29578	+	4.83594i	0.0532564	+	0.198756i
$593$		−	11.0732i		−	0.454720i	−0.973811	−	0.227360i	$-0.926991\pi$
$593$		−	11.0732i		−	0.454720i	0.973811	−	0.227360i	$-0.0730094\pi$
$594$	−6.50443	−	2.74001i	−0.266880	−	0.112424i
$595$	1.31452	+	20.7057i	0.0538899	+	0.848851i
$596$	−4.93748	+	8.55197i	−0.202247	+	0.350302i
$597$	−6.95734	+	6.34970i	−0.284745	+	0.259876i
$598$	−0.464455	−	0.124450i	−0.0189930	−	0.00508916i
$599$	−23.0848	−	39.9841i	−0.943220	−	1.63370i	−0.759277	−	0.650767i	$-0.774447\pi$
$599$	−23.0848	−	39.9841i	−0.943220	−	1.63370i	−0.183942	−	0.982937i	$-0.558886\pi$
$600$	−1.30592	+	2.04088i	−0.0533141	+	0.0833186i
$601$	−30.0915	+	8.06299i	−1.22746	+	0.328896i	−0.813589	−	0.581441i	$-0.802489\pi$
$601$	−30.0915	+	8.06299i	−1.22746	+	0.328896i	−0.413868	+	0.910337i	$0.635823\pi$
$602$	1.65521	+	1.65521i	0.0674612	+	0.0674612i
$603$	15.6224	+	33.8549i	0.636193	+	1.37868i
$604$			20.9875i			0.853969i
$605$	−6.98002	+	1.87029i	−0.283778	+	0.0760381i
$606$	0.793558	−	0.411087i	0.0322361	−	0.0166993i
$607$	−28.5209	−	7.64214i	−1.15763	−	0.310185i	−0.371609	−	0.928389i	$-0.621194\pi$
$607$	−28.5209	−	7.64214i	−1.15763	−	0.310185i	−0.786017	+	0.618205i	$0.787860\pi$
$608$	−19.7674	−	34.2382i	−0.801675	−	1.38854i
$609$	8.42757	+	16.2685i	0.341502	+	0.659233i
$610$	−11.1976	−	6.46493i	−0.453377	−	0.261757i
$611$	1.86562			0.0754750
$612$	−19.0820	+	10.3191i	−0.771343	+	0.417127i
$613$	33.5081			1.35338			0.676691	−	0.736267i	$-0.263413\pi$
$613$	33.5081			1.35338			0.676691	+	0.736267i	$0.263413\pi$
$614$	−0.794988	−	0.458987i	−0.0320831	−	0.0185232i
$615$	10.4123	−	16.2722i	0.419863	−	0.656157i
$616$	−6.22359	−	10.7796i	−0.250755	−	0.434321i
$617$	0.795292	+	0.213098i	0.0320173	+	0.00857900i	0.274792	−	0.961504i	$-0.411391\pi$
$617$	0.795292	+	0.213098i	0.0320173	+	0.00857900i	−0.242775	+	0.970083i	$0.578058\pi$
$618$	0.401568	−	8.79417i	0.0161534	−	0.353753i
$619$	−40.4014	+	10.8255i	−1.62387	+	0.435114i	−0.952135	−	0.305679i	$-0.901117\pi$
$619$	−40.4014	+	10.8255i	−1.62387	+	0.435114i	−0.671733	+	0.740793i	$0.734450\pi$
$620$			14.3779i			0.577429i
$621$	−3.97779	+	9.44275i	−0.159623	+	0.378925i
$622$	−7.35622	−	7.35622i	−0.294958	−	0.294958i
$623$	−38.8230	+	10.4026i	−1.55541	+	0.416771i
$624$	−2.19681	−	0.100313i	−0.0879426	−	0.00401572i
$625$	−10.3403	−	17.9099i	−0.413612	−	0.716397i
$626$	0.617078	+	0.165346i	0.0246634	+	0.00660854i
$627$	−8.03043	−	36.5686i	−0.320705	−	1.46041i
$628$	4.22356	−	7.31542i	0.168538	−	0.291917i
$629$	−5.99652	−	5.28058i	−0.239097	−	0.210551i
$630$	−6.11840	−	4.32069i	−0.243763	−	0.172140i
$631$			33.6714i			1.34044i	0.742163	+	0.670219i	$0.233800\pi$
$631$			33.6714i			1.34044i	−0.742163	+	0.670219i	$0.766200\pi$
$632$	−5.24919	−	19.5903i	−0.208802	−	0.779259i
$633$	1.12098	−	3.53068i	0.0445549	−	0.140332i
$634$	10.7397	+	2.87770i	0.426529	+	0.114288i
$635$	−8.71428	+	32.5221i	−0.345816	+	1.29060i
$636$	19.1350	−	9.91251i	0.758752	−	0.393057i
$637$	−0.442914	−	0.255717i	−0.0175489	−	0.0101319i
$638$			5.88583i			0.233022i
$639$	10.1526	−	8.45014i	0.401631	−	0.334282i
$640$	16.5359	+	16.5359i	0.653638	+	0.653638i
$641$	−1.08359	−	4.04401i	−0.0427991	−	0.159729i	0.941219	−	0.337797i	$-0.109682\pi$
$641$	−1.08359	−	4.04401i	−0.0427991	−	0.159729i	−0.984018	+	0.178069i	$0.943015\pi$
$642$	−10.1074	+	2.21958i	−0.398908	+	0.0876000i
$643$	10.9390	+	2.93111i	0.431394	+	0.115592i	0.467980	−	0.883739i	$-0.344982\pi$
$643$	10.9390	+	2.93111i	0.431394	+	0.115592i	−0.0365867	+	0.999330i	$0.511648\pi$
$644$	−7.31141	+	4.22125i	−0.288110	+	0.166340i
$645$	−4.65126	−	5.09636i	−0.183143	−	0.200669i
$646$	14.4729	+	7.17417i	0.569430	+	0.282264i
$647$	−16.8869			−0.663893			−0.331946	−	0.943298i	$-0.607705\pi$
$647$	−16.8869			−0.663893			−0.331946	+	0.943298i	$0.607705\pi$
$648$	3.04268	−	16.4844i	0.119528	−	0.647569i
$649$	−27.3653	+	27.3653i	−1.07418	+	1.07418i
$650$	0.0915709	−	0.158605i	0.00359171	−	0.00622102i
$651$	16.7988	+	0.767083i	0.658397	+	0.0300643i
$652$	0.359523	−	1.34176i	0.0140800	−	0.0525473i
$653$	−13.1387	+	49.0341i	−0.514156	+	1.91885i	−0.145220	+	0.989399i	$0.546389\pi$
$653$	−13.1387	+	49.0341i	−0.514156	+	1.91885i	−0.368935	+	0.929455i	$0.620278\pi$
$654$	−1.92731	−	8.77646i	−0.0753636	−	0.343187i
$655$	−12.5271	−	7.23253i	−0.489475	−	0.282598i
$656$	9.88461	+	9.88461i	0.385929	+	0.385929i
$657$	33.3979	−	27.7975i	1.30298	−	1.08448i
$658$	−3.25134	+	3.25134i	−0.126751	+	0.126751i
$659$	−14.7464	+	25.5415i	−0.574439	+	0.994957i	0.421664	+	0.906752i	$0.361446\pi$
$659$	−14.7464	+	25.5415i	−0.574439	+	0.994957i	−0.996102	+	0.0882048i	$0.971887\pi$
$660$	7.88469	+	15.2205i	0.306911	+	0.592458i
$661$	−8.70688	+	5.02692i	−0.338658	+	0.195525i	−0.659679	−	0.751548i	$-0.729308\pi$
$661$	−8.70688	+	5.02692i	−0.338658	+	0.195525i	0.321020	+	0.947072i	$0.395974\pi$
$662$	3.69978	+	6.40822i	0.143796	+	0.249062i
$663$	3.00778	−	1.80855i	0.116813	−	0.0702383i
$664$	2.31733	−	4.01373i	0.0899297	−	0.155763i
$665$		−	39.7326i		−	1.54077i
$666$	2.84276	−	0.489550i	0.110155	−	0.0189697i
$667$	8.54470			0.330852
$668$	11.4960	+	42.9037i	0.444794	+	1.65999i
$669$	35.5234	+	22.7308i	1.37342	+	0.878825i
$670$	−3.28994	+	12.2782i	−0.127102	+	0.474350i
$671$	29.9721	−	17.3044i	1.15706	−	0.668029i
$672$	15.6371	−	14.2714i	0.603214	−	0.550531i
$673$	19.8853	−	5.32826i	0.766524	−	0.205389i	0.145689	−	0.989331i	$-0.453460\pi$
$673$	19.8853	−	5.32826i	0.766524	−	0.205389i	0.620835	+	0.783941i	$0.286794\pi$
$674$	1.03831	+	1.03831i	0.0399943	+	0.0399943i
$675$	−3.08187	−	2.39429i	−0.118621	−	0.0921562i
$676$	−22.3760			−0.860614
$677$	0.609061	+	2.27304i	0.0234081	+	0.0873602i	0.976642	−	0.214874i	$-0.0689341\pi$
$677$	0.609061	+	2.27304i	0.0234081	+	0.0873602i	−0.953234	+	0.302234i	$0.902267\pi$
$678$	0.996397	−	0.909373i	0.0382664	−	0.0349243i
$679$	−7.40782	−	12.8307i	−0.284286	−	0.492398i
$680$	−15.5191	−	3.12001i	−0.595130	−	0.119647i
$681$	2.10180	−	0.461554i	0.0805411	−	0.0176868i
$682$	4.67844	+	2.70110i	0.179147	+	0.103430i
$683$	−8.73225	+	8.73225i	−0.334130	+	0.334130i	−0.854153	−	0.520022i	$-0.825924\pi$
$683$	−8.73225	+	8.73225i	−0.334130	+	0.334130i	0.520022	+	0.854153i	$0.325924\pi$
$684$	37.7219	−	17.4068i	1.44233	−	0.665567i
$685$	3.62353	−	3.62353i	0.138448	−	0.138448i
$686$	9.40736	−	2.52070i	0.359175	−	0.0962406i
$687$	−21.6630	+	11.2221i	−0.826497	+	0.428150i
$688$	4.32385	−	2.49638i	0.164845	−	0.0951736i
$689$	−3.01935	+	1.74322i	−0.115028	+	0.0664116i
$690$	−3.10172	+	1.60678i	−0.118080	+	0.0611692i
$691$	16.8064	−	4.50327i	0.639347	−	0.171313i	0.0754395	−	0.997150i	$-0.475964\pi$
$691$	16.8064	−	4.50327i	0.639347	−	0.171313i	0.563908	+	0.825838i	$0.309297\pi$
$692$	26.4738	−	26.4738i	1.00638	−	1.00638i
$693$	18.2040	−	8.40027i	0.691513	−	0.319100i
$694$	−6.75044	+	6.75044i	−0.256243	+	0.256243i
$695$	−9.39981	−	5.42698i	−0.356555	−	0.205857i
$696$	−13.6536	+	2.99833i	−0.517539	+	0.113651i
$697$	−21.8721	−	4.39724i	−0.828463	−	0.166557i
$698$	6.14100	+	10.6365i	0.232440	+	0.402598i
$699$	22.4441	−	20.4839i	0.848915	−	0.774773i
$700$	−0.832251	−	3.10600i	−0.0314561	−	0.117396i
$701$	34.0783			1.28712			0.643560	−	0.765396i	$-0.277457\pi$
$701$	34.0783			1.28712			0.643560	+	0.765396i	$0.277457\pi$
$702$	−0.172910	+	1.25519i	−0.00652606	+	0.0473743i
$703$	10.8199	+	10.8199i	0.408082	+	0.408082i
$704$	−7.09373	+	1.90076i	−0.267355	+	0.0716376i
$705$	10.0109	−	9.13652i	0.377030	−	0.344101i
$706$	−8.41628	+	4.85914i	−0.316751	+	0.182876i
$707$	−0.657053	+	2.45215i	−0.0247110	+	0.0922227i
$708$	−36.1716	−	23.1456i	−1.35941	−	0.869864i
$709$	−0.818312	−	3.05398i	−0.0307323	−	0.114695i	0.948856	−	0.315710i	$-0.102243\pi$
$709$	−0.818312	−	3.05398i	−0.0307323	−	0.114695i	−0.979588	+	0.201015i	$0.935576\pi$
$710$	4.50324			0.169004
$711$	32.1933	−	5.54400i	1.20734	−	0.207916i
$712$		−	30.6657i		−	1.14924i
$713$	3.92130	−	6.79189i	0.146854	−	0.254358i
$714$	−2.08998	+	8.39374i	−0.0782154	+	0.314128i
$715$	−1.38661	−	2.40168i	−0.0518563	−	0.0898177i
$716$	−23.4485	+	13.5380i	−0.876312	+	0.505939i
$717$	4.78620	+	9.23924i	0.178744	+	0.345046i
$718$	−0.458080	+	0.793418i	−0.0170954	+	0.0296101i
$719$	22.8534	−	22.8534i	0.852289	−	0.852289i	−0.138126	−	0.990415i	$-0.544108\pi$
$719$	22.8534	−	22.8534i	0.852289	−	0.852289i	0.990415	+	0.138126i	$0.0441078\pi$
$720$	−12.2792	+	10.2202i	−0.457620	+	0.380883i
$721$	17.6822	+	17.6822i	0.658521	+	0.658521i
$722$	−18.6262	−	10.7538i	−0.693195	−	0.400217i
$723$	2.05767	+	9.37010i	0.0765255	+	0.348478i
$724$	−2.89924	+	10.8201i	−0.107750	+	0.402127i
$725$	−0.842327	+	3.14361i	−0.0312832	+	0.116751i
$726$	−3.00964	−	0.137429i	−0.111698	−	0.00510047i
$727$	−22.8601	+	39.5949i	−0.847834	+	1.46849i	0.0353024	+	0.999377i	$0.488761\pi$
$727$	−22.8601	+	39.5949i	−0.847834	+	1.46849i	−0.883137	+	0.469116i	$0.844573\pi$
$728$	−1.58004	+	1.58004i	−0.0585601	+	0.0585601i
$729$	25.9944	+	7.30025i	0.962754	+	0.270380i
$730$	14.8138			0.548284
$731$	−3.53888	+	7.13921i	−0.130890	+	0.264053i
$732$	25.8880	+	28.3654i	0.956848	+	1.04841i
$733$	−11.5718	+	6.68100i	−0.427415	+	0.246768i	−0.698245	−	0.715859i	$-0.746035\pi$
$733$	−11.5718	+	6.68100i	−0.427415	+	0.246768i	0.270830	+	0.962627i	$0.412702\pi$
$734$	0.0619694	+	0.0166047i	0.00228733	+	0.000612889i
$735$	−3.62898	+	0.796922i	−0.133857	+	0.0293949i
$736$	−2.55539	−	9.53684i	−0.0941929	−	0.351533i
$737$	−24.0586	−	24.0586i	−0.886209	−	0.886209i
$738$	6.19053	−	5.15246i	0.227877	−	0.189665i
$739$			36.8498i			1.35554i	0.735273	+	0.677771i	$0.237054\pi$
$739$			36.8498i			1.35554i	−0.735273	+	0.677771i	$0.762946\pi$
$740$	−6.06716	−	3.50287i	−0.223033	−	0.128768i
$741$	−5.96797	+	3.09159i	−0.219239	+	0.113572i
$742$	2.22399	−	8.30006i	0.0816454	−	0.304705i
$743$	11.4993	+	3.08124i	0.421870	+	0.113040i	0.463507	−	0.886093i	$-0.346591\pi$
$743$	11.4993	+	3.08124i	0.421870	+	0.113040i	−0.0416376	+	0.999133i	$0.513257\pi$
$744$	−3.88259	+	12.2288i	−0.142343	+	0.448328i
$745$	−3.00392	−	11.2108i	−0.110055	−	0.410732i
$746$		−	8.93950i		−	0.327298i
$747$	6.09785	+	4.30618i	0.223109	+	0.157555i
$748$	13.0828	−	14.8565i	0.478353	−	0.543208i
$749$	14.6975	−	25.4568i	0.537034	−	0.930170i
$750$	−2.18518	−	9.95073i	−0.0797913	−	0.363349i
$751$	−6.10469	−	1.63575i	−0.222763	−	0.0596892i	0.145711	−	0.989327i	$-0.453453\pi$
$751$	−6.10469	−	1.63575i	−0.222763	−	0.0596892i	−0.368474	+	0.929638i	$0.620120\pi$
$752$	4.90367	+	8.49340i	0.178818	+	0.309723i
$753$	−15.2624	−	0.696924i	−0.556191	−	0.0253973i
$754$	1.02062	−	0.273474i	0.0371687	−	0.00995933i
$755$	−17.4423	−	17.4423i	−0.634789	−	0.634789i
$756$	13.4368	+	17.7303i	0.488693	+	0.644844i
$757$		−	24.0499i		−	0.874108i	−0.899435	−	0.437054i	$-0.856022\pi$
$757$		−	24.0499i		−	0.874108i	0.899435	−	0.437054i	$-0.143978\pi$
$758$	6.65927	−	1.78435i	0.241876	−	0.0648104i
$759$	0.426508	−	9.34035i	0.0154813	−	0.339033i
$760$	29.2818	+	7.84604i	1.06216	+	0.284606i
$761$	−22.2870	−	38.6022i	−0.807902	−	1.39933i	−0.914314	−	0.405005i	$-0.867270\pi$
$761$	−22.2870	−	38.6022i	−0.807902	−	1.39933i	0.106412	−	0.994322i	$-0.466064\pi$
$762$	−7.56597	+	11.8240i	−0.274086	+	0.428338i
$763$	22.1046	+	12.7621i	0.800239	+	0.462018i
$764$	−8.18514			−0.296128
$765$	7.28259	−	24.4346i	0.263303	−	0.883436i
$766$	−15.8065			−0.571114
$767$	6.01669	+	3.47374i	0.217250	+	0.125429i
$768$	0.210123	+	0.405619i	0.00758215	+	0.0146365i
$769$	18.5356	+	32.1047i	0.668412	+	1.15772i	0.978348	+	0.206966i	$0.0663590\pi$
$769$	18.5356	+	32.1047i	0.668412	+	1.15772i	−0.309936	+	0.950757i	$0.600308\pi$
$770$	6.60210	+	1.76903i	0.237923	+	0.0637513i
$771$	33.3052	−	17.2531i	1.19946	−	0.621356i
$772$	26.2048	−	7.02155i	0.943131	−	0.252711i
$773$			16.8867i			0.607373i	0.952772	+	0.303687i	$0.0982176\pi$
$773$			16.8867i			0.607373i	−0.952772	+	0.303687i	$0.901782\pi$
$774$	−1.20530	−	2.61198i	−0.0433238	−	0.0938858i
$775$	2.11219	+	2.11219i	0.0758720	+	0.0758720i
$776$	10.9187	−	2.92566i	0.391959	−	0.105025i
$777$	−4.41638	+	6.90186i	−0.158437	+	0.247603i
$778$	7.72443	+	13.3791i	0.276934	+	0.479664i
$779$	41.2687	+	11.0579i	1.47861	+	0.396191i
$780$	2.27293	−	2.07442i	0.0813840	−	0.0742761i
$781$	−6.02681	+	10.4387i	−0.215656	+	0.373528i
$782$	3.02754	+	2.66608i	0.108265	+	0.0953387i
$783$	−2.80506	−	22.3405i	−0.100245	−	0.798385i
$784$		−	2.68854i		−	0.0960192i
$785$	2.56958	+	9.58980i	0.0917122	+	0.342275i
$786$	−4.06545	−	4.45449i	−0.145010	−	0.158887i
$787$	0.0777395	+	0.0208302i	0.00277111	+	0.000742517i	0.260204	−	0.965554i	$-0.416210\pi$
$787$	0.0777395	+	0.0208302i	0.00277111	+	0.000742517i	−0.257433	+	0.966296i	$0.582877\pi$
$788$	3.46469	−	12.9304i	0.123424	−	0.460626i
$789$	−32.4106	−	20.7390i	−1.15385	−	0.738328i
$790$	9.64483	+	5.56845i	0.343148	+	0.198116i
$791$			3.83189i			0.136246i
$792$	2.59600	+	15.0746i	0.0922448	+	0.535654i
$793$	−4.39322	−	4.39322i	−0.156008	−	0.156008i
$794$	−2.08615	−	7.78563i	−0.0740348	−	0.276302i
$795$	−7.66462	+	24.1408i	−0.271836	+	0.856185i
$796$	9.21266	+	2.46852i	0.326534	+	0.0874945i
$797$	20.0519	−	11.5770i	0.710276	−	0.410078i	−0.100887	−	0.994898i	$-0.532168\pi$
$797$	20.0519	−	11.5770i	0.710276	−	0.410078i	0.811163	+	0.584820i	$0.198835\pi$
$798$	5.01286	−	15.7887i	0.177453	−	0.558913i
$799$	−14.0236	−	6.95146i	−0.496121	−	0.245925i
$800$	3.76052			0.132955
$801$	49.1877	+	4.50150i	1.73796	+	0.159053i
$802$	−4.67132	+	4.67132i	−0.164950	+	0.164950i
$803$	−19.8258	+	34.3392i	−0.699636	+	1.21180i
$804$	20.3488	−	31.8008i	0.717646	−	1.12153i
$805$	2.56817	−	9.58455i	0.0905162	−	0.337811i
$806$	0.251003	−	0.936755i	0.00884120	−	0.0329958i
$807$	−38.7749	+	35.3884i	−1.36494	+	1.24573i
$808$	−1.67742	−	0.968458i	−0.0590114	−	0.0340702i
$809$	−22.4028	−	22.4028i	−0.787642	−	0.787642i	0.193465	−	0.981107i	$-0.438027\pi$
$809$	−22.4028	−	22.4028i	−0.787642	−	0.787642i	−0.981107	+	0.193465i	$0.938027\pi$
$810$	5.21925	+	7.58211i	0.183386	+	0.266408i
$811$	19.7805	−	19.7805i	0.694588	−	0.694588i	−0.268650	−	0.963238i	$-0.586578\pi$
$811$	19.7805	−	19.7805i	0.694588	−	0.694588i	0.963238	+	0.268650i	$0.0865776\pi$
$812$	9.27599	−	16.0665i	0.325523	−	0.563823i
$813$	−38.0366	−	1.73686i	−1.33400	−	0.0609144i
$814$	−2.27961	+	1.31614i	−0.0799004	+	0.0461305i
$815$	0.816314	+	1.41390i	0.0285942	+	0.0495267i
$816$	16.1393	+	8.93952i	0.564990	+	0.312946i
$817$	7.62980	−	13.2152i	0.266933	−	0.462342i
$818$			11.2962i			0.394964i
$819$	−2.30244	−	2.76632i	−0.0804539	−	0.0966631i
$820$	−19.5611			−0.683102
$821$	−7.25003	−	27.0575i	−0.253028	−	0.944313i	−0.969177	−	0.246366i	$-0.920764\pi$
$821$	−7.25003	−	27.0575i	−0.253028	−	0.944313i	0.716149	−	0.697947i	$-0.245903\pi$
$822$	1.89706	−	0.982732i	0.0661674	−	0.0342767i
$823$	1.84281	−	6.87748i	0.0642365	−	0.239734i	−0.926341	−	0.376685i	$-0.877064\pi$
$823$	1.84281	−	6.87748i	0.0642365	−	0.239734i	0.990578	+	0.136952i	$0.0437305\pi$
$824$	−16.5230	+	9.53957i	−0.575607	+	0.332327i
$825$	3.39428	+	1.07767i	0.118174	+	0.0375198i
$826$	−16.5396	+	4.43177i	−0.575486	+	0.154201i
$827$	−16.1739	−	16.1739i	−0.562421	−	0.562421i	0.367574	−	0.929994i	$-0.380189\pi$
$827$	−16.1739	−	16.1739i	−0.562421	−	0.562421i	−0.929994	+	0.367574i	$0.880189\pi$
$828$	10.2246	−	1.76078i	0.355330	−	0.0611912i
$829$	−30.8253			−1.07061			−0.535303	−	0.844660i	$-0.679803\pi$
$829$	−30.8253			−1.07061			−0.535303	+	0.844660i	$0.679803\pi$
$830$	0.658690	+	2.45826i	0.0228635	+	0.0853276i
$831$	0.228966	+	1.04265i	0.00794275	+	0.0361693i
$832$	0.659194	+	1.14176i	0.0228534	+	0.0395833i
$833$	2.37651	+	3.57252i	0.0823411	+	0.123781i
$834$	−3.05054	−	3.34246i	−0.105631	−	0.115740i
$835$	−45.2104	−	26.1023i	−1.56457	−	0.903306i
$836$	−26.8066	+	26.8066i	−0.927127	+	0.927127i
$837$	−19.0450	−	8.02277i	−0.658291	−	0.277308i
$838$	7.44121	−	7.44121i	0.257052	−	0.257052i
$839$	16.5291	−	4.42897i	0.570649	−	0.152905i	0.0380547	−	0.999276i	$-0.487884\pi$
$839$	16.5291	−	4.42897i	0.570649	−	0.152905i	0.532594	+	0.846371i	$0.321217\pi$
$840$	−0.740487	+	16.2164i	−0.0255492	+	0.559517i
$841$	8.85375	−	5.11171i	0.305302	−	0.176266i
$842$	6.21157	−	3.58625i	0.214065	−	0.123590i
$843$	−5.66949	−	3.62781i	−0.195268	−	0.124948i
$844$	−3.62309	+	0.970805i	−0.124712	+	0.0334165i
$845$	18.5962	−	18.5962i	0.639729	−	0.639729i
$846$	5.13075	−	2.36759i	0.176399	−	0.0813996i
$847$	6.05141	−	6.05141i	0.207929	−	0.207929i
$848$	−15.8724	−	9.16391i	−0.545059	−	0.314690i
$849$	−7.94873	+	25.0356i	−0.272800	+	0.859220i
$850$	−1.27930	+	0.851016i	−0.0438797	+	0.0291896i
$851$	1.91069	+	3.30941i	0.0654976	+	0.113445i
$852$	−12.7479	−	4.04743i	−0.436738	−	0.138663i
$853$	10.9927	+	41.0255i	0.376384	+	1.40468i	0.851312	+	0.524660i	$0.175808\pi$
$853$	10.9927	+	41.0255i	0.376384	+	1.40468i	−0.474928	+	0.880025i	$0.657526\pi$
$854$	15.3127			0.523991
$855$	−16.8834	+	45.8163i	−0.577400	+	1.56688i
$856$	15.8586	+	15.8586i	0.542035	+	0.542035i
$857$	28.7852	−	7.71297i	0.983283	−	0.263470i	0.268856	−	0.963180i	$-0.413354\pi$
$857$	28.7852	−	7.71297i	0.983283	−	0.263470i	0.714427	+	0.699710i	$0.246688\pi$
$858$	−0.247995	−	1.12930i	−0.00846639	−	0.0385538i
$859$	28.7450	−	16.5959i	0.980765	−	0.566245i	0.0782641	−	0.996933i	$-0.475062\pi$
$859$	28.7450	−	16.5959i	0.980765	−	0.566245i	0.902501	+	0.430688i	$0.141729\pi$
$860$	−1.80823	+	6.74842i	−0.0616603	+	0.230119i
$861$	−1.04362	+	22.8547i	−0.0355663	+	0.778888i
$862$	−2.07080	−	7.72833i	−0.0705317	−	0.263228i
$863$	33.6429			1.14522			0.572609	−	0.819828i	$-0.305931\pi$
$863$	33.6429			1.14522			0.572609	+	0.819828i	$0.305931\pi$
$864$	−24.0956	+	9.81195i	−0.819750	+	0.333809i
$865$			44.0036i			1.49617i
$866$	0.616549	−	1.06789i	0.0209512	−	0.0362885i
$867$	−29.3479	+	2.38741i	−0.996708	+	0.0810808i
$868$	−8.51379	−	14.7463i	−0.288977	−	0.500523i
$869$	−25.8159	+	14.9048i	−0.875744	+	0.505611i
$870$	4.13731	−	6.46573i	0.140268	−	0.219209i
$871$	−3.05399	+	5.28966i	−0.103480	+	0.179233i
$872$	−13.7703	+	13.7703i	−0.466321	+	0.466321i
$873$	3.08997	+	17.9431i	0.104580	+	0.607281i
$874$	−5.46280	−	5.46280i	−0.184782	−	0.184782i
$875$	25.0621	+	14.4696i	0.847254	+	0.489162i
$876$	−41.9355	−	13.3144i	−1.41687	−	0.449852i
$877$	−1.49640	+	5.58463i	−0.0505297	+	0.188579i	−0.986578	−	0.163293i	$-0.947788\pi$
$877$	−1.49640	+	5.58463i	−0.0505297	+	0.188579i	0.936048	+	0.351873i	$0.114455\pi$
$878$	2.36889	−	8.84083i	0.0799462	−	0.298363i
$879$	15.8168	+	30.5325i	0.533487	+	1.02984i
$880$	7.28923	−	12.6253i	0.245720	−	0.425599i
$881$	−15.4445	+	15.4445i	−0.520338	+	0.520338i	−0.917673	−	0.397335i	$-0.869935\pi$
$881$	−15.4445	+	15.4445i	−0.520338	+	0.520338i	0.397335	+	0.917673i	$0.369935\pi$
$882$	−1.54260	−	0.141174i	−0.0519422	−	0.00475358i
$883$	0.778555			0.0262005			0.0131002	−	0.999914i	$-0.495830\pi$
$883$	0.778555			0.0262005			0.0131002	+	0.999914i	$0.495830\pi$
$884$	−3.18402	−	1.57831i	−0.107090	−	0.0530842i
$885$	49.2972	−	10.8256i	1.65711	−	0.363900i
$886$	1.07787	−	0.622311i	0.0362119	−	0.0209069i
$887$	24.2710	+	6.50339i	0.814939	+	0.218362i	0.642133	−	0.766593i	$-0.278050\pi$
$887$	24.2710	+	6.50339i	0.814939	+	0.218362i	0.172807	+	0.984956i	$0.444716\pi$
$888$	−4.21437	−	4.61766i	−0.141425	−	0.154959i
$889$	−10.3203	−	38.5157i	−0.346130	−	1.29178i
$890$	11.9071	+	11.9071i	0.399126	+	0.399126i
$891$	−24.5608	+	1.95113i	−0.822818	+	0.0653654i
$892$		−	42.7034i		−	1.42982i
$893$	25.9588	+	14.9873i	0.868678	+	0.501532i
$894$	0.220728	−	4.83386i	0.00738226	−	0.161668i
$895$	8.23641	−	30.7387i	0.275313	−	1.02748i
$896$	−26.7513	−	7.16799i	−0.893698	−	0.239466i
$897$	−1.63946	+	0.360024i	−0.0547399	+	0.0120209i
$898$	1.18757	+	4.43206i	0.0396296	+	0.147900i
$899$			17.2337i			0.574777i
$900$	−0.360139	+	3.93522i	−0.0120046	+	0.131174i
$901$	29.1915	−	1.85324i	0.972510	−	0.0617404i
$902$	−3.67484	+	6.36501i	−0.122359	+	0.211932i
$903$	7.78825	+	2.47274i	0.259177	+	0.0822877i
$904$	−2.82399	−	0.756686i	−0.0939246	−	0.0251670i
$905$	−6.58287	−	11.4019i	−0.218822	−	0.379011i
$906$	−4.73049	−	9.13169i	−0.157160	−	0.303380i
$907$	−28.2573	+	7.57153i	−0.938269	+	0.251408i	−0.695377	−	0.718645i	$-0.744763\pi$
$907$	−28.2573	+	7.57153i	−0.938269	+	0.251408i	−0.242892	+	0.970053i	$0.578096\pi$
$908$	−1.54073	−	1.54073i	−0.0511308	−	0.0511308i
$909$	1.79964	−	2.54842i	0.0596903	−	0.0845257i
$910$		−	1.22702i		−	0.0406752i
$911$	44.5431	−	11.9353i	1.47578	−	0.395433i	0.570870	−	0.821041i	$-0.306606\pi$
$911$	44.5431	−	11.9353i	1.47578	−	0.395433i	0.904908	+	0.425607i	$0.139939\pi$
$912$	−29.7611	−	19.0436i	−0.985489	−	0.630598i
$913$	−6.57993	−	1.76309i	−0.217764	−	0.0583496i
$914$	−0.962465	−	1.66704i	−0.0318355	−	0.0551407i
$915$	−45.0888	−	2.05889i	−1.49059	−	0.0680647i
$916$	21.3940	+	12.3519i	0.706879	+	0.408117i
$917$	17.1309			0.565711
$918$	5.97670	−	8.79086i	0.197260	−	0.290142i
$919$	−19.2500			−0.634998			−0.317499	−	0.948259i	$-0.602843\pi$
$919$	−19.2500			−0.634998			−0.317499	+	0.948259i	$0.602843\pi$
$920$	6.55640	+	3.78534i	0.216158	+	0.124799i
$921$	−3.20114	−	0.146174i	−0.105481	−	0.00481658i
$922$	3.35856	+	5.81719i	0.110608	+	0.191579i
$923$	2.09013	+	0.560049i	0.0687975	+	0.0184342i
$924$	−17.0995	−	10.9417i	−0.562533	−	0.359955i
$925$	−1.40589	+	0.376707i	−0.0462254	+	0.0123860i
$926$		−	0.130945i		−	0.00430310i
$927$	−12.8760	−	27.9033i	−0.422904	−	0.916464i
$928$	15.3414	+	15.3414i	0.503606	+	0.503606i
$929$	−56.9314	+	15.2547i	−1.86786	+	0.500491i	−0.867864	+	0.496801i	$0.834508\pi$
$929$	−56.9314	+	15.2547i	−1.86786	+	0.500491i	−0.999993	+	0.00368940i	$0.998826\pi$
$930$	−3.24071	−	6.25583i	−0.106267	−	0.205137i
$931$	−4.10855	−	7.11622i	−0.134652	−	0.233225i
$932$	−29.7197	−	7.96338i	−0.973502	−	0.260849i
$933$	−34.6132	−	10.9896i	−1.13319	−	0.359783i
$934$	−1.99742	+	3.45963i	−0.0653575	+	0.113202i
$935$	1.47412	+	23.2197i	0.0482089	+	0.759366i
$936$	2.49337	−	1.15057i	0.0814982	−	0.0376075i
$937$		−	18.5905i		−	0.607327i	−0.952779	−	0.303663i	$-0.901790\pi$
$937$		−	18.5905i		−	0.607327i	0.952779	−	0.303663i	$-0.0982098\pi$
$938$	−3.89626	−	14.5410i	−0.127217	−	0.474781i
$939$	2.17819	−	0.478330i	0.0710827	−	0.0156097i
$940$	−13.2560	−	3.55194i	−0.432363	−	0.115851i
$941$	−1.83211	+	6.83753i	−0.0597251	+	0.222897i	−0.989337	−	0.145642i	$-0.953475\pi$
$941$	−1.83211	+	6.83753i	−0.0597251	+	0.222897i	0.929612	+	0.368539i	$0.120142\pi$
$942$	−0.188813	+	4.13492i	−0.00615185	+	0.134723i
$943$	9.24035	+	5.33492i	0.300907	+	0.173729i
$944$			36.5220i			1.18869i
$945$	−25.9023	−	3.56818i	−0.842603	−	0.116073i
$946$	1.85618	+	1.85618i	0.0603495	+	0.0603495i
$947$	5.06284	+	18.8948i	0.164520	+	0.613997i	0.998101	+	0.0615999i	$0.0196203\pi$
$947$	5.06284	+	18.8948i	0.164520	+	0.613997i	−0.833581	+	0.552398i	$0.813713\pi$
$948$	−22.2981	−	24.4320i	−0.724210	−	0.793514i
$949$	6.87568	+	1.84233i	0.223194	+	0.0598046i
$950$	2.54829	−	1.47125i	0.0826773	−	0.0477338i
$951$	37.9096	−	8.32493i	1.22930	−	0.269955i
$952$	17.7643	−	5.98960i	0.575744	−	0.194124i
$953$	−20.6336			−0.668388			−0.334194	−	0.942504i	$-0.608464\pi$
$953$	−20.6336			−0.668388			−0.334194	+	0.942504i	$0.608464\pi$
$954$	−6.09143	+	8.62589i	−0.197217	+	0.279274i
$955$	6.80250	−	6.80250i	0.220124	−	0.220124i
$956$	5.26804	−	9.12451i	0.170381	−	0.295108i
$957$	9.45082	+	18.2438i	0.305502	+	0.589737i
$958$	2.83801	−	10.5916i	0.0916919	−	0.342199i
$959$	−1.57073	+	5.86205i	−0.0507215	+	0.189295i
$960$	9.12874	+	2.89834i	0.294629	+	0.0935437i
$961$	−13.1483	−	7.59117i	−0.424138	−	0.244876i
$962$	0.334139	+	0.334139i	0.0107731	+	0.0107731i
$963$	−27.7651	+	23.1093i	−0.894718	+	0.744685i
$964$	6.86877	−	6.86877i	0.221228	−	0.221228i
$965$	−15.9428	+	27.6137i	−0.513216	+	0.888917i
$966$	2.22975	−	3.48463i	0.0717412	−	0.112116i
$967$	−16.0660	+	9.27571i	−0.516648	+	0.298287i	−0.735562	−	0.677457i	$-0.763082\pi$
$967$	−16.0660	+	9.27571i	−0.516648	+	0.298287i	0.218914	+	0.975744i	$0.429748\pi$
$968$	3.26474	+	5.65469i	0.104933	+	0.181749i
$969$	56.3800	−	1.00194i	1.81119	−	0.0321869i
$970$	−3.10359	+	5.37558i	−0.0996504	+	0.172600i
$971$			38.8712i			1.24744i	0.781650	+	0.623718i	$0.214378\pi$
$971$			38.8712i			1.24744i	−0.781650	+	0.623718i	$0.785622\pi$
$972$	−7.96018	−	26.1547i	−0.255323	−	0.838913i
$973$	12.8543			0.412089
$974$	1.46630	+	5.47230i	0.0469832	+	0.175344i
$975$	0.0291626	−	0.638649i	0.000933951	−	0.0204531i
$976$	8.45322	−	31.5478i	0.270581	−	1.00982i
$977$	7.24269	−	4.18157i	0.231714	−	0.133780i	−0.379648	−	0.925131i	$-0.623955\pi$
$977$	7.24269	−	4.18157i	0.231714	−	0.133780i	0.611363	+	0.791351i	$0.290622\pi$
$978$	0.145997	+	0.664835i	0.00466848	+	0.0212591i
$979$	−43.5368	+	11.6656i	−1.39144	+	0.372836i
$980$	2.66023	+	2.66023i	0.0849779	+	0.0849779i
$981$	−20.0662	−	24.1089i	−0.640664	−	0.769739i
$982$	−8.72179			−0.278324
$983$	−4.67774	−	17.4576i	−0.149197	−	0.556809i	−0.999533	−	0.0305693i	$-0.990268\pi$
$983$	−4.67774	−	17.4576i	−0.149197	−	0.556809i	0.850336	−	0.526240i	$-0.176399\pi$
$984$	−16.6372	−	5.28226i	−0.530375	−	0.168392i
$985$	7.86674	+	13.6256i	0.250655	+	0.434148i
$986$	−8.69084	−	1.74724i	−0.276773	−	0.0556434i
$987$	−4.85724	+	15.2985i	−0.154608	+	0.486958i
$988$	5.89386	+	3.40282i	0.187509	+	0.108258i
$989$	2.69469	−	2.69469i	0.0856862	−	0.0856862i
$990$	−6.86128	−	4.84529i	−0.218066	−	0.153994i
$991$	4.74855	−	4.74855i	0.150843	−	0.150843i	−0.627652	−	0.778494i	$-0.715984\pi$
$991$	4.74855	−	4.74855i	0.150843	−	0.150843i	0.778494	+	0.627652i	$0.215984\pi$
$992$	19.2348	−	5.15394i	0.610704	−	0.163638i
$993$	21.7575	+	13.9222i	0.690453	+	0.441809i
$994$	−4.61864	+	2.66658i	−0.146494	+	0.0845786i
$995$	−9.70798	+	5.60490i	−0.307764	+	0.177687i
$996$	0.344800	−	7.55097i	0.0109254	−	0.239262i
$997$	9.90970	−	2.65530i	0.313843	−	0.0840941i	−0.0984591	−	0.995141i	$-0.531391\pi$
$997$	9.90970	−	2.65530i	0.313843	−	0.0840941i	0.412302	+	0.911047i	$0.364725\pi$
$998$	13.2206	−	13.2206i	0.418491	−	0.418491i
$999$	8.02537	−	6.08200i	0.253911	−	0.192426i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	153.2.n.a.106.10	yes	64
3.2	odd	2		459.2.o.a.208.7		64
9.4	even	3	inner	153.2.n.a.4.7	✓	64
9.5	odd	6		459.2.o.a.361.10		64
17.13	even	4	inner	153.2.n.a.115.7	yes	64
51.47	odd	4		459.2.o.a.370.10		64
153.13	even	12	inner	153.2.n.a.13.10	yes	64
153.149	odd	12		459.2.o.a.64.7		64

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
153.2.n.a.4.7	✓	64	9.4	even	3	inner
153.2.n.a.13.10	yes	64	153.13	even	12	inner
153.2.n.a.106.10	yes	64	1.1	even	1	trivial
153.2.n.a.115.7	yes	64	17.13	even	4	inner
459.2.o.a.64.7		64	153.149	odd	12
459.2.o.a.208.7		64	3.2	odd	2
459.2.o.a.361.10		64	9.5	odd	6
459.2.o.a.370.10		64	51.47	odd	4

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:	\( N \)	\(=\)	\( 153 = 3^{2} \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	153.n (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.429699 + 0.248087i) q^{2} +(1.73025 + 0.0790082i) q^{3} +(-0.876906 - 1.51885i) q^{4} +(1.99106 + 0.533502i) q^{5} +(0.723884 + 0.463201i) q^{6} +(-2.35799 + 0.631823i) q^{7} -1.86254i q^{8} +(2.98752 + 0.273408i) q^{9} +O(q^{10})\)	\(q+(0.429699 + 0.248087i) q^{2} +(1.73025 + 0.0790082i) q^{3} +(-0.876906 - 1.51885i) q^{4} +(1.99106 + 0.533502i) q^{5} +(0.723884 + 0.463201i) q^{6} +(-2.35799 + 0.631823i) q^{7} -1.86254i q^{8} +(2.98752 + 0.273408i) q^{9} +(0.723200 + 0.723200i) q^{10} +(-2.64429 + 0.708537i) q^{11} +(-1.39726 - 2.69726i) q^{12} +(0.245724 + 0.425607i) q^{13} +(-1.16997 - 0.313493i) q^{14} +(3.40287 + 1.08040i) q^{15} +(-1.29174 + 2.23736i) q^{16} +(-0.261232 - 4.11482i) q^{17} +(1.21590 + 0.858645i) q^{18} +7.89602i q^{19} +(-0.935663 - 3.49194i) q^{20} +(-4.12983 + 0.906909i) q^{21} +(-1.31203 - 0.351557i) q^{22} +(-0.510370 + 1.90473i) q^{23} +(0.147156 - 3.22266i) q^{24} +(-0.650439 - 0.375531i) q^{25} +0.243844i q^{26} +(5.14754 + 0.709101i) q^{27} +(3.02738 + 3.02738i) q^{28} +(-1.12151 - 4.18554i) q^{29} +(1.19418 + 1.30845i) q^{30} +(-3.84162 - 1.02936i) q^{31} +(-4.33613 + 2.50347i) q^{32} +(-4.63126 + 1.01702i) q^{33} +(0.908581 - 1.83294i) q^{34} -5.03198 q^{35} +(-2.20451 - 4.77733i) q^{36} +(1.37030 - 1.37030i) q^{37} +(-1.95890 + 3.39291i) q^{38} +(0.391537 + 0.755820i) q^{39} +(0.993670 - 3.70843i) q^{40} +(1.40044 - 5.22652i) q^{41} +(-1.99958 - 0.634859i) q^{42} +(-1.67365 - 0.966285i) q^{43} +(3.39496 + 3.39496i) q^{44} +(5.80245 + 2.13822i) q^{45} +(-0.691842 + 0.691842i) q^{46} +(1.89809 - 3.28758i) q^{47} +(-2.41180 + 3.76913i) q^{48} +(-0.901242 + 0.520332i) q^{49} +(-0.186329 - 0.322730i) q^{50} +(-0.126892 - 7.14030i) q^{51} +(0.430954 - 0.746435i) q^{52} +7.09423i q^{53} +(2.03597 + 1.58174i) q^{54} -5.64295 q^{55} +(1.17680 + 4.39186i) q^{56} +(-0.623850 + 13.6621i) q^{57} +(0.556465 - 2.07676i) q^{58} +(12.2428 - 7.06836i) q^{59} +(-1.34304 - 6.11585i) q^{60} +(-12.2114 + 3.27202i) q^{61} +(-1.39537 - 1.39537i) q^{62} +(-7.21729 + 1.24289i) q^{63} +2.68266 q^{64} +(0.262189 + 0.978503i) q^{65} +(-2.24236 - 0.711941i) q^{66} +(6.21425 + 10.7634i) q^{67} +(-6.02070 + 4.00508i) q^{68} +(-1.03356 + 3.25532i) q^{69} +(-2.16224 - 1.24837i) q^{70} +(3.11341 - 3.11341i) q^{71} +(0.509233 - 5.56437i) q^{72} +(10.2419 - 10.2419i) q^{73} +(0.928771 - 0.248863i) q^{74} +(-1.09575 - 0.701152i) q^{75} +(11.9928 - 6.92407i) q^{76} +(5.78756 - 3.34145i) q^{77} +(-0.0192656 + 0.421910i) q^{78} +(10.5180 - 2.81830i) q^{79} +(-3.76557 + 3.76557i) q^{80} +(8.85050 + 1.63362i) q^{81} +(1.89840 - 1.89840i) q^{82} +(2.15497 + 1.24417i) q^{83} +(4.99893 + 5.47731i) q^{84} +(1.67514 - 8.33222i) q^{85} +(-0.479445 - 0.830422i) q^{86} +(-1.60980 - 7.33064i) q^{87} +(1.31968 + 4.92511i) q^{88} +16.4644 q^{89} +(1.96284 + 2.35830i) q^{90} +(-0.848324 - 0.848324i) q^{91} +(3.34053 - 0.895093i) q^{92} +(-6.56563 - 2.08457i) q^{93} +(1.63121 - 0.941779i) q^{94} +(-4.21255 + 15.7214i) q^{95} +(-7.70038 + 3.98903i) q^{96} +(1.57079 + 5.86226i) q^{97} -0.516350 q^{98} +(-8.09359 + 1.39379i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7}+O(q^{10}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7	\( 64 q - 6 q^{3} + 24 q^{4} - 2 q^{5} - 10 q^{6} - 2 q^{7} - 16 q^{10} - 24 q^{12} - 4 q^{13} - 16 q^{16} - 8 q^{17} - 8 q^{18} + 18 q^{20} - 16 q^{21} - 4 q^{22} - 8 q^{23} - 2 q^{24} - 10 q^{29} - 36 q^{30} - 2 q^{31} + 12 q^{33} + 20 q^{34} - 128 q^{35} - 8 q^{37} - 24 q^{38} + 34 q^{39} - 20 q^{40} + 32 q^{41} + 20 q^{44} + 20 q^{45} - 40 q^{46} - 64 q^{47} + 62 q^{48} + 48 q^{50} + 40 q^{51} + 36 q^{52} - 46 q^{54} - 16 q^{55} + 12 q^{56} + 72 q^{57} - 10 q^{58} - 2 q^{61} - 28 q^{62} + 64 q^{63} - 8 q^{64} + 8 q^{65} - 4 q^{67} - 60 q^{68} - 24 q^{69} - 84 q^{71} + 72 q^{72} - 44 q^{73} - 14 q^{74} + 46 q^{75} - 56 q^{78} + 10 q^{79} + 204 q^{80} + 44 q^{81} - 52 q^{82} - 60 q^{84} + 22 q^{85} + 32 q^{86} + 16 q^{88} + 128 q^{89} - 66 q^{90} + 44 q^{91} + 136 q^{92} + 4 q^{95} - 2 q^{96} - 44 q^{97} + 208 q^{98} + 6 q^{99}+O(q^{100}) \) 64 * q - 6 * q^3 + 24 * q^4 - 2 * q^5 - 10 * q^6 - 2 * q^7 - 16 * q^10 - 24 * q^12 - 4 * q^13 - 16 * q^16 - 8 * q^17 - 8 * q^18 + 18 * q^20 - 16 * q^21 - 4 * q^22 - 8 * q^23 - 2 * q^24 - 10 * q^29 - 36 * q^30 - 2 * q^31 + 12 * q^33 + 20 * q^34 - 128 * q^35 - 8 * q^37 - 24 * q^38 + 34 * q^39 - 20 * q^40 + 32 * q^41 + 20 * q^44 + 20 * q^45 - 40 * q^46 - 64 * q^47 + 62 * q^48 + 48 * q^50 + 40 * q^51 + 36 * q^52 - 46 * q^54 - 16 * q^55 + 12 * q^56 + 72 * q^57 - 10 * q^58 - 2 * q^61 - 28 * q^62 + 64 * q^63 - 8 * q^64 + 8 * q^65 - 4 * q^67 - 60 * q^68 - 24 * q^69 - 84 * q^71 + 72 * q^72 - 44 * q^73 - 14 * q^74 + 46 * q^75 - 56 * q^78 + 10 * q^79 + 204 * q^80 + 44 * q^81 - 52 * q^82 - 60 * q^84 + 22 * q^85 + 32 * q^86 + 16 * q^88 + 128 * q^89 - 66 * q^90 + 44 * q^91 + 136 * q^92 + 4 * q^95 - 2 * q^96 - 44 * q^97 + 208 * q^98 + 6 * q^99

Introduction

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