LMFDB - Embedded newform 170.2.o.b.57.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [170,2,Mod(3,170)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(170, base_ring=CyclotomicField(16))

chi = DirichletCharacter(H, H._module([12, 1]))

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

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

chi := DirichletCharacter("170.3");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 170 = 2 \cdot 5 \cdot 17 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	170.o (of order $16$, degree $8$, 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:	$1.35745683436$
Analytic rank:	$0$
Dimension:	$40$
Relative dimension:	$5$ over $\Q(\zeta_{16})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label			57.1
Character	$\chi$	$=$	170.57
Dual form			170.2.o.b.3.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.382683 + 0.923880i) q^{2} +(-1.65666 + 2.47936i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(0.488119 + 2.18214i) q^{5} +(-2.92460 - 0.581740i) q^{6} +(0.420899 - 2.11600i) q^{7} +(-0.923880 - 0.382683i) q^{8} +(-2.25467 - 5.44325i) q^{9} +O(q^{10})$	\(q+(0.382683 + 0.923880i) q^{2} +(-1.65666 + 2.47936i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(0.488119 + 2.18214i) q^{5} +(-2.92460 - 0.581740i) q^{6} +(0.420899 - 2.11600i) q^{7} +(-0.923880 - 0.382683i) q^{8} +(-2.25467 - 5.44325i) q^{9} +(-1.82924 + 1.28603i) q^{10} +(0.581141 - 2.92159i) q^{11} +(-0.581740 - 2.92460i) q^{12} +5.10274i q^{13} +(2.11600 - 0.420899i) q^{14} +(-6.21896 - 2.40483i) q^{15} -1.00000i q^{16} +(2.91993 + 2.91101i) q^{17} +(4.16608 - 4.16608i) q^{18} +(-2.47306 + 5.97048i) q^{19} +(-1.88816 - 1.19785i) q^{20} +(4.54905 + 4.54905i) q^{21} +(2.92159 - 0.581141i) q^{22} +(1.26875 - 0.847753i) q^{23} +(2.47936 - 1.65666i) q^{24} +(-4.52348 + 2.13029i) q^{25} +(-4.71431 + 1.95273i) q^{26} +(8.45716 + 1.68223i) q^{27} +(1.19862 + 1.79386i) q^{28} +(3.82051 - 5.71779i) q^{29} +(-0.158117 - 6.66586i) q^{30} +(-0.942552 - 4.73853i) q^{31} +(0.923880 - 0.382683i) q^{32} +(6.28093 + 6.28093i) q^{33} +(-1.57202 + 3.81166i) q^{34} +(4.82287 - 0.114401i) q^{35} +(5.44325 + 2.25467i) q^{36} +(6.05201 + 4.04382i) q^{37} -6.46241 q^{38} +(-12.6515 - 8.45347i) q^{39} +(0.384106 - 2.20283i) q^{40} +(2.01733 + 3.01915i) q^{41} +(-2.46193 + 5.94362i) q^{42} +(-0.718779 + 1.73529i) q^{43} +(1.65495 + 2.47681i) q^{44} +(10.7774 - 7.57696i) q^{45} +(1.26875 + 0.847753i) q^{46} -4.65062 q^{47} +(2.47936 + 1.65666i) q^{48} +(2.16684 + 0.897536i) q^{49} +(-3.69919 - 3.36392i) q^{50} +(-12.0548 + 2.41701i) q^{51} +(-3.60818 - 3.60818i) q^{52} +(2.70105 - 1.11881i) q^{53} +(1.68223 + 8.45716i) q^{54} +(6.65899 - 0.157954i) q^{55} +(-1.19862 + 1.79386i) q^{56} +(-10.7060 - 16.0226i) q^{57} +(6.74460 + 1.34158i) q^{58} +(3.66553 - 1.51831i) q^{59} +(6.09794 - 2.69699i) q^{60} +(-3.45296 + 2.30720i) q^{61} +(4.01713 - 2.68416i) q^{62} +(-12.4669 + 2.47982i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-11.1349 + 2.49074i) q^{65} +(-3.39921 + 8.20642i) q^{66} +(2.25590 - 2.25590i) q^{67} +(-4.12310 + 0.00630415i) q^{68} +4.55013i q^{69} +(1.95132 + 4.41197i) q^{70} +(5.63509 - 1.12089i) q^{71} +5.89173i q^{72} +(-1.91531 - 9.62889i) q^{73} +(-1.42000 + 7.13883i) q^{74} +(2.21209 - 14.7445i) q^{75} +(-2.47306 - 5.97048i) q^{76} +(-5.93749 - 2.45939i) q^{77} +(2.96847 - 14.9235i) q^{78} +(15.1407 + 3.01167i) q^{79} +(2.18214 - 0.488119i) q^{80} +(-5.68322 + 5.68322i) q^{81} +(-2.01733 + 3.01915i) q^{82} +(-3.74064 - 9.03070i) q^{83} -6.43332 q^{84} +(-4.92697 + 7.79262i) q^{85} -1.87826 q^{86} +(7.84720 + 18.9448i) q^{87} +(-1.65495 + 2.47681i) q^{88} +(5.41083 - 5.41083i) q^{89} +(11.1245 + 7.05743i) q^{90} +(10.7974 + 2.14774i) q^{91} +(-0.297691 + 1.49660i) q^{92} +(13.3100 + 5.51318i) q^{93} +(-1.77972 - 4.29662i) q^{94} +(-14.2356 - 2.48225i) q^{95} +(-0.581740 + 2.92460i) q^{96} +(-0.523720 - 2.63292i) q^{97} +2.34537i q^{98} +(-17.2132 + 3.42392i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 40 q+O(q^{10}) $ 40 * q	$ 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) $ 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/170\mathbb{Z}\right)^\times$.

$n$	$71$	$137$
$\chi(n)$	$e\left(\frac{15}{16}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.382683	+	0.923880i	0.270598	+	0.653281i
$2$	0.382683	+	0.923880i	0.270598	+	0.653281i
$3$	−1.65666	+	2.47936i	−0.956470	+	1.43146i	−0.0550648	+	0.998483i	$0.517537\pi$
$3$	−1.65666	+	2.47936i	−0.956470	+	1.43146i	−0.901405	+	0.432976i	$0.857463\pi$
$4$	−0.707107	+	0.707107i	−0.353553	+	0.353553i
$5$	0.488119	+	2.18214i	0.218294	+	0.975883i
$5$	0.488119	+	2.18214i	0.218294	+	0.975883i
$6$	−2.92460	−	0.581740i	−1.19396	−	0.237494i
$7$	0.420899	−	2.11600i	0.159085	−	0.799774i	−0.816019	−	0.578025i	$-0.803824\pi$
$7$	0.420899	−	2.11600i	0.159085	−	0.799774i	0.975104	−	0.221749i	$-0.0711765\pi$
$8$	−0.923880	−	0.382683i	−0.326641	−	0.135299i
$9$	−2.25467	−	5.44325i	−0.751556	−	1.81442i
$10$	−1.82924	+	1.28603i	−0.578457	+	0.406679i
$11$	0.581141	−	2.92159i	0.175220	−	0.880893i	−0.788715	−	0.614758i	$-0.789253\pi$
$11$	0.581141	−	2.92159i	0.175220	−	0.880893i	0.963936	−	0.266134i	$-0.0857465\pi$
$12$	−0.581740	−	2.92460i	−0.167934	−	0.844260i
$13$			5.10274i			1.41524i	0.706591	+	0.707622i	$0.250232\pi$
$13$			5.10274i			1.41524i	−0.706591	+	0.707622i	$0.749768\pi$
$14$	2.11600	−	0.420899i	0.565526	−	0.112490i
$15$	−6.21896	−	2.40483i	−1.60573	−	0.620925i
$16$		−	1.00000i		−	0.250000i
$17$	2.91993	+	2.91101i	0.708187	+	0.706025i
$17$	2.91993	+	2.91101i	0.708187	+	0.706025i
$18$	4.16608	−	4.16608i	0.981955	−	0.981955i
$19$	−2.47306	+	5.97048i	−0.567358	+	1.36972i	0.336416	+	0.941713i	$0.390785\pi$
$19$	−2.47306	+	5.97048i	−0.567358	+	1.36972i	−0.903774	+	0.428010i	$0.859215\pi$
$20$	−1.88816	−	1.19785i	−0.422205	−	0.267848i
$21$	4.54905	+	4.54905i	0.992684	+	0.992684i
$22$	2.92159	−	0.581141i	0.622885	−	0.123900i
$23$	1.26875	−	0.847753i	0.264553	−	0.176769i	−0.416218	−	0.909265i	$-0.636645\pi$
$23$	1.26875	−	0.847753i	0.264553	−	0.176769i	0.680771	+	0.732496i	$0.261645\pi$
$24$	2.47936	−	1.65666i	0.506097	−	0.338163i
$25$	−4.52348	+	2.13029i	−0.904696	+	0.426058i
$26$	−4.71431	+	1.95273i	−0.924553	+	0.382962i
$27$	8.45716	+	1.68223i	1.62758	+	0.323746i
$28$	1.19862	+	1.79386i	0.226518	+	0.339008i
$29$	3.82051	−	5.71779i	0.709450	−	1.06177i	−0.285200	−	0.958468i	$-0.592060\pi$
$29$	3.82051	−	5.71779i	0.709450	−	1.06177i	0.994650	−	0.103300i	$-0.0329400\pi$
$30$	−0.158117	−	6.66586i	−0.0288681	−	1.21701i
$31$	−0.942552	−	4.73853i	−0.169287	−	0.851065i	−0.968308	−	0.249761i	$-0.919648\pi$
$31$	−0.942552	−	4.73853i	−0.169287	−	0.851065i	0.799020	−	0.601304i	$-0.205352\pi$
$32$	0.923880	−	0.382683i	0.163320	−	0.0676495i
$33$	6.28093	+	6.28093i	1.09337	+	1.09337i
$34$	−1.57202	+	3.81166i	−0.269599	+	0.653694i
$35$	4.82287	−	0.114401i	0.815213	−	0.0193372i
$36$	5.44325	+	2.25467i	0.907208	+	0.375778i
$37$	6.05201	+	4.04382i	0.994945	+	0.664801i	0.942633	−	0.333830i	$-0.108341\pi$
$37$	6.05201	+	4.04382i	0.994945	+	0.664801i	0.0523113	+	0.998631i	$0.483341\pi$
$38$	−6.46241			−1.04834
$39$	−12.6515	−	8.45347i	−2.02586	−	1.35364i
$40$	0.384106	−	2.20283i	0.0607325	−	0.348298i
$41$	2.01733	+	3.01915i	0.315054	+	0.471511i	0.954873	−	0.297014i	$-0.0959908\pi$
$41$	2.01733	+	3.01915i	0.315054	+	0.471511i	−0.639819	+	0.768525i	$0.720991\pi$
$42$	−2.46193	+	5.94362i	−0.379884	+	0.917120i
$43$	−0.718779	+	1.73529i	−0.109613	+	0.264629i	−0.969162	−	0.246424i	$-0.920744\pi$
$43$	−0.718779	+	1.73529i	−0.109613	+	0.264629i	0.859549	+	0.511053i	$0.170744\pi$
$44$	1.65495	+	2.47681i	0.249493	+	0.373392i
$45$	10.7774	−	7.57696i	1.60660	−	1.12951i
$46$	1.26875	+	0.847753i	0.187067	+	0.124994i
$47$	−4.65062			−0.678363			−0.339182	−	0.940721i	$-0.610150\pi$
$47$	−4.65062			−0.678363			−0.339182	+	0.940721i	$0.610150\pi$
$48$	2.47936	+	1.65666i	0.357865	+	0.239118i
$49$	2.16684	+	0.897536i	0.309549	+	0.128219i
$50$	−3.69919	−	3.36392i	−0.523145	−	0.475731i
$51$	−12.0548	+	2.41701i	−1.68801	+	0.338449i
$52$	−3.60818	−	3.60818i	−0.500364	−	0.500364i
$53$	2.70105	−	1.11881i	0.371017	−	0.153680i	−0.189381	−	0.981904i	$-0.560648\pi$
$53$	2.70105	−	1.11881i	0.371017	−	0.153680i	0.560398	+	0.828223i	$0.310648\pi$
$54$	1.68223	+	8.45716i	0.228923	+	1.15087i
$55$	6.65899	−	0.157954i	0.897898	−	0.0212986i
$56$	−1.19862	+	1.79386i	−0.160172	+	0.239715i
$57$	−10.7060	−	16.0226i	−1.41804	−	2.12225i
$58$	6.74460	+	1.34158i	0.885609	+	0.176159i
$59$	3.66553	−	1.51831i	0.477211	−	0.197667i	−0.131095	−	0.991370i	$-0.541849\pi$
$59$	3.66553	−	1.51831i	0.477211	−	0.197667i	0.608306	+	0.793703i	$0.291849\pi$
$60$	6.09794	−	2.69699i	0.787241	−	0.348180i
$61$	−3.45296	+	2.30720i	−0.442107	+	0.295406i	−0.756630	−	0.653844i	$-0.773155\pi$
$61$	−3.45296	+	2.30720i	−0.442107	+	0.295406i	0.314523	+	0.949250i	$0.398155\pi$
$62$	4.01713	−	2.68416i	0.510176	−	0.340889i
$63$	−12.4669	+	2.47982i	−1.57068	+	0.312428i
$64$	0.707107	+	0.707107i	0.0883883	+	0.0883883i
$65$	−11.1349	+	2.49074i	−1.38111	+	0.308939i
$66$	−3.39921	+	8.20642i	−0.418414	+	1.01014i
$67$	2.25590	−	2.25590i	0.275602	−	0.275602i	−0.555749	−	0.831350i	$-0.687568\pi$
$67$	2.25590	−	2.25590i	0.275602	−	0.275602i	0.831350	+	0.555749i	$0.187568\pi$
$68$	−4.12310	+	0.00630415i	−0.499999	+	0.000764491i
$69$			4.55013i			0.547771i
$70$	1.95132	+	4.41197i	0.233228	+	0.527331i
$71$	5.63509	−	1.12089i	0.668762	−	0.133025i	0.150979	−	0.988537i	$-0.451757\pi$
$71$	5.63509	−	1.12089i	0.668762	−	0.133025i	0.517783	+	0.855512i	$0.326757\pi$
$72$			5.89173i			0.694347i
$73$	−1.91531	−	9.62889i	−0.224170	−	1.12698i	−0.914843	−	0.403810i	$-0.867686\pi$
$73$	−1.91531	−	9.62889i	−0.224170	−	1.12698i	0.690674	−	0.723167i	$-0.257314\pi$
$74$	−1.42000	+	7.13883i	−0.165072	+	0.829873i
$75$	2.21209	−	14.7445i	0.255430	−	1.70255i
$76$	−2.47306	−	5.97048i	−0.283679	−	0.684861i
$77$	−5.93749	−	2.45939i	−0.676640	−	0.280274i
$78$	2.96847	−	14.9235i	0.336113	−	1.68975i
$79$	15.1407	+	3.01167i	1.70346	+	0.338839i	0.948462	−	0.316890i	$-0.102639\pi$
$79$	15.1407	+	3.01167i	1.70346	+	0.338839i	0.754996	+	0.655729i	$0.227639\pi$
$80$	2.18214	−	0.488119i	0.243971	−	0.0545734i
$81$	−5.68322	+	5.68322i	−0.631469	+	0.631469i
$82$	−2.01733	+	3.01915i	−0.222777	+	0.333409i
$83$	−3.74064	−	9.03070i	−0.410589	−	0.991249i	−0.984980	−	0.172668i	$-0.944761\pi$
$83$	−3.74064	−	9.03070i	−0.410589	−	0.991249i	0.574391	−	0.818581i	$-0.305239\pi$
$84$	−6.43332			−0.701933
$85$	−4.92697	+	7.79262i	−0.534405	+	0.845229i
$86$	−1.87826			−0.202538
$87$	7.84720	+	18.9448i	0.841309	+	2.03110i
$88$	−1.65495	+	2.47681i	−0.176418	+	0.264028i
$89$	5.41083	−	5.41083i	0.573547	−	0.573547i	−0.359571	−	0.933118i	$-0.617077\pi$
$89$	5.41083	−	5.41083i	0.573547	−	0.573547i	0.933118	+	0.359571i	$0.117077\pi$
$90$	11.1245	+	7.05743i	1.17263	+	0.743919i
$91$	10.7974	+	2.14774i	1.13188	+	0.225144i
$92$	−0.297691	+	1.49660i	−0.0310365	+	0.156031i
$93$	13.3100	+	5.51318i	1.38018	+	0.571690i
$94$	−1.77972	−	4.29662i	−0.183564	−	0.443162i
$95$	−14.2356	−	2.48225i	−1.46054	−	0.254673i
$96$	−0.581740	+	2.92460i	−0.0593736	+	0.298491i
$97$	−0.523720	−	2.63292i	−0.0531757	−	0.267332i	0.945046	−	0.326936i	$-0.106016\pi$
$97$	−0.523720	−	2.63292i	−0.0531757	−	0.267332i	−0.998222	+	0.0596039i	$0.981016\pi$
$98$			2.34537i			0.236919i
$99$	−17.2132	+	3.42392i	−1.72999	+	0.344117i
$100$	1.69224	−	4.70493i	0.169224	−	0.470493i
$101$		−	12.8077i		−	1.27441i	−0.770693	−	0.637207i	$-0.780090\pi$
$101$		−	12.8077i		−	1.27441i	0.770693	−	0.637207i	$-0.219910\pi$
$102$	−6.84619	−	10.2122i	−0.677873	−	1.01116i
$103$	−8.68917	+	8.68917i	−0.856170	+	0.856170i	−0.990884	−	0.134715i	$-0.956988\pi$
$103$	−8.68917	+	8.68917i	−0.856170	+	0.856170i	0.134715	+	0.990884i	$0.456988\pi$
$104$	1.95273	−	4.71431i	0.191481	−	0.462276i
$105$	−7.70619	+	12.1471i	−0.752047	+	1.18544i
$106$	2.06729	+	2.06729i	0.200793	+	0.200793i
$107$	2.44404	−	0.486150i	0.236274	−	0.0469978i	−0.0755328	−	0.997143i	$-0.524066\pi$
$107$	2.44404	−	0.486150i	0.236274	−	0.0469978i	0.311807	+	0.950145i	$0.399066\pi$
$108$	−7.16964	+	4.79060i	−0.689899	+	0.460976i
$109$	−15.1896	+	10.1494i	−1.45490	+	0.972132i	−0.458380	+	0.888756i	$0.651570\pi$
$109$	−15.1896	+	10.1494i	−1.45490	+	0.972132i	−0.996518	+	0.0833759i	$0.973430\pi$
$110$	2.69422	+	6.09166i	0.256883	+	0.580817i
$111$	−20.0522	+	8.30589i	−1.90327	+	0.788360i
$112$	−2.11600	−	0.420899i	−0.199944	−	0.0397712i
$113$	−6.98206	−	10.4494i	−0.656817	−	0.982997i	−0.999058	−	0.0433845i	$-0.986186\pi$
$113$	−6.98206	−	10.4494i	−0.656817	−	0.982997i	0.342241	−	0.939612i	$-0.388814\pi$
$114$	10.7060	−	16.0226i	1.00271	−	1.50066i
$115$	2.46922	+	2.35479i	0.230256	+	0.219586i
$116$	1.34158	+	6.74460i	0.124563	+	0.626220i
$117$	27.7755	−	11.5050i	2.56784	−	1.06364i
$118$	2.80547	+	2.80547i	0.258265	+	0.258265i
$119$	7.38871	−	4.95334i	0.677322	−	0.454072i
$120$	4.82528	+	4.60167i	0.440486	+	0.420073i
$121$	1.96470	+	0.813807i	0.178610	+	0.0739825i
$122$	−3.45296	−	2.30720i	−0.312617	−	0.208884i
$123$	−10.8276			−0.976289
$124$	4.01713	+	2.68416i	0.360749	+	0.241045i
$125$	−6.85659	−	8.83103i	−0.613272	−	0.789872i
$126$	−7.06194	−	10.5689i	−0.629128	−	0.941556i
$127$	−0.853371	+	2.06022i	−0.0757245	+	0.182815i	−0.957209	−	0.289398i	$-0.906545\pi$
$127$	−0.853371	+	2.06022i	−0.0757245	+	0.182815i	0.881484	+	0.472213i	$0.156545\pi$
$128$	−0.382683	+	0.923880i	−0.0338248	+	0.0816602i
$129$	−3.11163	−	4.65688i	−0.273964	−	0.410016i
$130$	−6.56229	−	9.33413i	−0.575551	−	0.818657i
$131$	10.4931	+	7.01129i	0.916790	+	0.612579i	0.921909	−	0.387407i	$-0.126629\pi$
$131$	10.4931	+	7.01129i	0.916790	+	0.612579i	−0.00511864	+	0.999987i	$0.501629\pi$
$132$	−8.88257			−0.773128
$133$	11.5927	+	7.74596i	1.00521	+	0.671660i
$134$	2.94747	+	1.22088i	0.254623	+	0.105468i
$135$	0.457232	+	19.2759i	0.0393523	+	1.65900i
$136$	−1.58367	−	3.80684i	−0.135798	−	0.326433i
$137$	−2.33320	−	2.33320i	−0.199339	−	0.199339i	0.600378	−	0.799717i	$-0.295017\pi$
$137$	−2.33320	−	2.33320i	−0.199339	−	0.199339i	−0.799717	+	0.600378i	$0.795017\pi$
$138$	−4.20377	+	1.74126i	−0.357849	+	0.148226i
$139$	−2.59433	−	13.0426i	−0.220049	−	1.10626i	−0.919955	−	0.392024i	$-0.871775\pi$
$139$	−2.59433	−	13.0426i	−0.220049	−	1.10626i	0.699906	−	0.714235i	$-0.253225\pi$
$140$	−3.32939	+	3.49117i	−0.281385	+	0.295058i
$141$	7.70448	−	11.5306i	0.648834	−	0.971049i
$142$	3.19202	+	4.77720i	0.267869	+	0.400894i
$143$	14.9081	+	2.96541i	1.24668	+	0.247980i
$144$	−5.44325	+	2.25467i	−0.453604	+	0.187889i
$145$	14.3419	+	5.54592i	1.19103	+	0.460564i
$146$	8.16298	−	5.45433i	0.675573	−	0.451403i
$147$	−5.81503	+	3.88548i	−0.479615	+	0.320469i
$148$	−7.13883	+	1.42000i	−0.586809	+	0.116723i
$149$	5.78244	+	5.78244i	0.473716	+	0.473716i	0.903115	−	0.429399i	$-0.141275\pi$
$149$	5.78244	+	5.78244i	0.473716	+	0.473716i	−0.429399	+	0.903115i	$0.641275\pi$
$150$	14.4687	−	3.59877i	1.18136	−	0.293838i
$151$	3.31607	−	8.00571i	0.269858	−	0.651495i	−0.729618	−	0.683855i	$-0.760302\pi$
$151$	3.31607	−	8.00571i	0.269858	−	0.651495i	0.999476	+	0.0323595i	$0.0103021\pi$
$152$	4.56961	−	4.56961i	0.370644	−	0.370644i
$153$	9.26191	−	22.4573i	0.748781	−	1.81556i
$154$		−	6.42670i		−	0.517878i
$155$	9.88006	−	4.36975i	0.793585	−	0.350987i
$156$	14.9235	−	2.96847i	1.19483	−	0.237667i
$157$			6.12399i			0.488747i	0.969681	+	0.244374i	$0.0785824\pi$
$157$			6.12399i			0.488747i	−0.969681	+	0.244374i	$0.921418\pi$
$158$	3.01167	+	15.1407i	0.239595	+	1.20453i
$159$	−1.70077	+	8.55035i	−0.134880	+	0.678087i
$160$	1.28603	+	1.82924i	0.101670	+	0.144614i
$161$	−1.25983	−	3.04150i	−0.0992887	−	0.239704i
$162$	−7.42549	−	3.07574i	−0.583401	−	0.241653i
$163$	−2.57526	+	12.9467i	−0.201710	+	1.01407i	0.738703	+	0.674031i	$0.235439\pi$
$163$	−2.57526	+	12.9467i	−0.201710	+	1.01407i	−0.940413	+	0.340034i	$0.889561\pi$
$164$	−3.56132	−	0.708391i	−0.278093	−	0.0553161i
$165$	−10.6400	+	16.7717i	−0.828325	+	1.30568i
$166$	6.91180	−	6.91180i	0.536460	−	0.536460i
$167$	−9.81435	+	14.6882i	−0.759457	+	1.13661i	0.227209	+	0.973846i	$0.427040\pi$
$167$	−9.81435	+	14.6882i	−0.759457	+	1.13661i	−0.986665	+	0.162761i	$0.947960\pi$
$168$	−2.46193	−	5.94362i	−0.189942	−	0.458560i
$169$	−13.0379			−1.00292
$170$	−9.08491	−	1.56982i	−0.696781	−	0.120400i
$171$	38.0747			2.91165
$172$	−0.718779	−	1.73529i	−0.0548064	−	0.132314i
$173$	5.47594	−	8.19533i	0.416328	−	0.623079i	−0.562734	−	0.826638i	$-0.690251\pi$
$173$	5.47594	−	8.19533i	0.416328	−	0.623079i	0.979063	+	0.203558i	$0.0652506\pi$
$174$	−14.4997	+	14.4997i	−1.09922	+	1.09922i
$175$	2.60377	+	10.4683i	0.196827	+	0.791332i
$176$	−2.92159	−	0.581141i	−0.220223	−	0.0438051i
$177$	−2.30807	+	11.6035i	−0.173485	+	0.872170i
$178$	7.06959	+	2.92832i	0.529888	+	0.219487i
$179$	−0.836227	−	2.01883i	−0.0625026	−	0.150895i	0.889542	−	0.456853i	$-0.151023\pi$
$179$	−0.836227	−	2.01883i	−0.0625026	−	0.150895i	−0.952045	+	0.305958i	$0.901023\pi$
$180$	−2.26305	+	12.9785i	−0.168678	+	0.967359i
$181$	2.38233	−	11.9768i	0.177077	−	0.890225i	−0.785426	−	0.618955i	$-0.787556\pi$
$181$	2.38233	−	11.9768i	0.177077	−	0.890225i	0.962503	−	0.271270i	$-0.0874437\pi$
$182$	2.14774	+	10.7974i	0.159201	+	0.800357i
$183$		−	12.3834i		−	0.915405i
$184$	−1.49660	+	0.297691i	−0.110330	+	0.0219461i
$185$	−5.87009	+	15.1802i	−0.431578	+	1.11607i
$186$			14.4066i			1.05635i
$187$	10.2017	−	6.83913i	0.746021	−	0.500127i
$188$	3.28849	−	3.28849i	0.239838	−	0.239838i
$189$	7.11923	−	17.1873i	0.517848	−	1.25019i
$190$	−3.15442	−	14.1019i	−0.228846	−	1.02306i
$191$	−3.12333	−	3.12333i	−0.225996	−	0.225996i	0.585021	−	0.811018i	$-0.301086\pi$
$191$	−3.12333	−	3.12333i	−0.225996	−	0.225996i	−0.811018	+	0.585021i	$0.801086\pi$
$192$	−2.92460	+	0.581740i	−0.211065	+	0.0419835i
$193$	19.6632	−	13.1386i	1.41539	−	0.945734i	0.416054	−	0.909340i	$-0.363413\pi$
$193$	19.6632	−	13.1386i	1.41539	−	0.945734i	0.999338	−	0.0363943i	$-0.0115872\pi$
$194$	2.23208	−	1.49143i	0.160254	−	0.107078i
$195$	12.2712	−	31.7337i	0.878760	−	2.27250i
$196$	−2.16684	+	0.897536i	−0.154775	+	0.0641097i
$197$	−1.51151	−	0.300658i	−0.107691	−	0.0214210i	0.140951	−	0.990017i	$-0.454984\pi$
$197$	−1.51151	−	0.300658i	−0.107691	−	0.0214210i	−0.248641	+	0.968596i	$0.579984\pi$
$198$	−9.75051	−	14.5927i	−0.692938	−	1.03706i
$199$	2.72577	−	4.07940i	0.193224	−	0.289181i	−0.722189	−	0.691696i	$-0.756864\pi$
$199$	2.72577	−	4.07940i	0.193224	−	0.289181i	0.915413	+	0.402515i	$0.131864\pi$
$200$	4.99438	−	0.237071i	0.353156	−	0.0167635i
$201$	1.85594	+	9.33042i	0.130908	+	0.658117i
$202$	11.8328	−	4.90129i	0.832551	−	0.344854i
$203$	−10.4908	−	10.4908i	−0.736311	−	0.736311i
$204$	6.81493	−	10.2331i	0.477140	−	0.716460i
$205$	−5.60350	+	5.87580i	−0.391366	+	0.410384i
$206$	−11.3530	−	4.70255i	−0.790998	−	0.327642i
$207$	−7.47515	−	4.99473i	−0.519559	−	0.347158i
$208$	5.10274			0.353811
$209$	16.0061	+	10.6949i	1.10717	+	0.739785i
$210$	−14.1715	−	2.47108i	−0.977928	−	0.170521i
$211$	−14.8005	−	22.1505i	−1.01891	−	1.52490i	−0.841131	−	0.540832i	$-0.818110\pi$
$211$	−14.8005	−	22.1505i	−1.01891	−	1.52490i	−0.177777	−	0.984071i	$-0.556890\pi$
$212$	−1.11881	+	2.70105i	−0.0768402	+	0.185509i
$213$	−6.55631	+	15.8283i	−0.449231	+	1.08454i
$214$	1.38444	+	2.07196i	0.0946381	+	0.141636i
$215$	−4.13749	−	0.721451i	−0.282174	−	0.0492025i
$216$	−7.16964	−	4.79060i	−0.487832	−	0.325959i
$217$	−10.4235			−0.707591
$218$	−15.1896	−	10.1494i	−1.02877	−	0.687401i
$219$	27.0465	+	11.2030i	1.82763	+	0.757030i
$220$	−4.59693	+	4.82031i	−0.309925	+	0.324985i
$221$	−14.8541	+	14.8996i	−0.999198	+	1.00226i
$222$	−15.3473	−	15.3473i	−1.03004	−	1.03004i
$223$	−9.12708	+	3.78056i	−0.611195	+	0.253165i	−0.666739	−	0.745291i	$-0.732310\pi$
$223$	−9.12708	+	3.78056i	−0.611195	+	0.253165i	0.0555446	+	0.998456i	$0.482310\pi$
$224$	−0.420899	−	2.11600i	−0.0281225	−	0.141381i
$225$	21.7946	+	19.8193i	1.45298	+	1.32129i
$226$	6.98206	−	10.4494i	0.464440	−	0.695084i
$227$	−4.59868	−	6.88241i	−0.305225	−	0.456801i	0.646872	−	0.762599i	$-0.276077\pi$
$227$	−4.59868	−	6.88241i	−0.305225	−	0.456801i	−0.952097	+	0.305797i	$0.901077\pi$
$228$	18.9000	+	3.75944i	1.25168	+	0.248975i
$229$	−21.1923	+	8.77812i	−1.40042	+	0.580074i	−0.949862	−	0.312671i	$-0.898776\pi$
$229$	−21.1923	+	8.77812i	−1.40042	+	0.580074i	−0.450562	+	0.892745i	$0.648776\pi$
$230$	−1.23061	+	3.18240i	−0.0811443	+	0.209841i
$231$	15.9341	−	10.6468i	1.04839	−	0.700509i
$232$	−5.71779	+	3.82051i	−0.375392	+	0.250829i
$233$	−27.1900	+	5.40843i	−1.78128	+	0.354318i	−0.972339	−	0.233576i	$-0.924957\pi$
$233$	−27.1900	+	5.40843i	−1.78128	+	0.354318i	−0.808938	+	0.587894i	$0.799957\pi$
$234$	21.2584	+	21.2584i	1.38971	+	1.38971i
$235$	−2.27006	−	10.1483i	−0.148082	−	0.662003i
$236$	−1.51831	+	3.66553i	−0.0988336	+	0.238605i
$237$	−32.5499	+	32.5499i	−2.11434	+	2.11434i
$238$	7.40383	+	4.93072i	0.479919	+	0.319611i
$239$			21.8340i			1.41232i	0.708051	+	0.706161i	$0.249575\pi$
$239$			21.8340i			1.41232i	−0.708051	+	0.706161i	$0.750425\pi$
$240$	−2.40483	+	6.21896i	−0.155231	+	0.401432i
$241$	−10.9377	+	2.17563i	−0.704556	+	0.140145i	−0.534350	−	0.845264i	$-0.679443\pi$
$241$	−10.9377	+	2.17563i	−0.704556	+	0.140145i	−0.170206	+	0.985408i	$0.554443\pi$
$242$			2.12658i			0.136702i
$243$	0.371092	+	1.86561i	0.0238056	+	0.119679i
$244$	0.810180	−	4.07305i	0.0518664	−	0.260750i
$245$	−0.900872	+	5.16646i	−0.0575546	+	0.330073i
$246$	−4.14353	−	10.0034i	−0.264182	−	0.637791i
$247$	−30.4658	−	12.6193i	−1.93849	−	0.802950i
$248$	−0.942552	+	4.73853i	−0.0598521	+	0.300897i
$249$	28.5873	+	5.68637i	1.81165	+	0.360359i
$250$	5.53491	−	9.71415i	0.350058	−	0.614377i
$251$	−5.63823	+	5.63823i	−0.355882	+	0.355882i	−0.862292	−	0.506411i	$-0.830972\pi$
$251$	−5.63823	+	5.63823i	−0.355882	+	0.355882i	0.506411	+	0.862292i	$0.330972\pi$
$252$	7.06194	−	10.5689i	0.444861	−	0.665781i
$253$	−1.73947	−	4.19944i	−0.109359	−	0.264017i
$254$	−2.22997			−0.139921
$255$	−11.1584	−	25.1254i	−0.698767	−	1.57341i
$256$	−1.00000			−0.0625000
$257$	−4.56187	−	11.0133i	−0.284561	−	0.686992i	0.715370	−	0.698746i	$-0.246258\pi$
$257$	−4.56187	−	11.0133i	−0.284561	−	0.686992i	−0.999931	+	0.0117544i	$0.996258\pi$
$258$	3.11163	−	4.65688i	0.193722	−	0.289925i
$259$	11.1040	−	11.1040i	0.689971	−	0.689971i
$260$	6.11233	−	9.63478i	0.379071	−	0.597524i
$261$	−39.7373	−	7.90425i	−2.45968	−	0.489261i
$262$	−2.46204	+	12.3775i	−0.152105	+	0.764685i
$263$	13.0171	+	5.39184i	0.802666	+	0.332475i	0.746024	−	0.665919i	$-0.231961\pi$
$263$	13.0171	+	5.39184i	0.802666	+	0.332475i	0.0566422	+	0.998395i	$0.481961\pi$
$264$	−3.39921	−	8.20642i	−0.209207	−	0.505070i
$265$	3.75984	+	5.34795i	0.230965	+	0.328522i
$266$	−2.72002	+	13.6745i	−0.166775	+	0.838436i
$267$	4.45151	+	22.3793i	0.272428	+	1.36959i
$268$			3.19032i			0.194880i
$269$	4.26081	−	0.847528i	0.259786	−	0.0516747i	−0.0634787	−	0.997983i	$-0.520219\pi$
$269$	4.26081	−	0.847528i	0.259786	−	0.0516747i	0.323265	+	0.946308i	$0.395219\pi$
$270$	−17.6336	+	7.79898i	−1.07315	+	0.474631i
$271$			3.27703i			0.199065i	0.995034	+	0.0995326i	$0.0317347\pi$
$271$			3.27703i			0.199065i	−0.995034	+	0.0995326i	$0.968265\pi$
$272$	2.91101	−	2.91993i	0.176506	−	0.177047i
$273$	−23.2126	+	23.2126i	−1.40489	+	1.40489i
$274$	1.26272	−	3.04848i	0.0762837	−	0.184165i
$275$	3.59506	+	14.4538i	0.216790	+	0.871594i
$276$	−3.21743	−	3.21743i	−0.193666	−	0.193666i
$277$	−16.8154	+	3.34480i	−1.01034	+	0.200970i	−0.672393	−	0.740195i	$-0.734733\pi$
$277$	−16.8154	+	3.34480i	−1.01034	+	0.200970i	−0.337950	+	0.941164i	$0.609733\pi$
$278$	11.0570	−	7.38804i	0.663154	−	0.443105i
$279$	−23.6678	+	15.8143i	−1.41696	+	0.946780i
$280$	−4.49953	−	1.73994i	−0.268898	−	0.103981i
$281$	26.4043	−	10.9370i	1.57515	−	0.652447i	0.587511	−	0.809216i	$-0.300108\pi$
$281$	26.4043	−	10.9370i	1.57515	−	0.652447i	0.987635	+	0.156769i	$0.0501079\pi$
$282$	13.6012	+	2.70545i	0.809942	+	0.161107i
$283$	1.67518	+	2.50708i	0.0995789	+	0.149030i	0.877913	−	0.478820i	$-0.158935\pi$
$283$	1.67518	+	2.50708i	0.0995789	+	0.149030i	−0.778334	+	0.627850i	$0.783935\pi$
$284$	−3.19202	+	4.77720i	−0.189412	+	0.283475i
$285$	29.7378	−	31.1829i	1.76152	−	1.84712i
$286$	2.96541	+	14.9081i	0.175348	+	0.881535i
$287$	7.23761	−	2.99792i	0.427223	−	0.176961i
$288$	−4.16608	−	4.16608i	−0.245489	−	0.245489i
$289$	0.0519853	+	16.9999i	0.00305796	+	0.999995i
$290$	0.364643	+	15.3725i	0.0214126	+	0.902705i
$291$	7.39558	+	3.06335i	0.433536	+	0.179577i
$292$	8.16298	+	5.45433i	0.477702	+	0.319190i
$293$	7.90877			0.462035			0.231018	−	0.972950i	$-0.425794\pi$
$293$	7.90877			0.462035			0.231018	+	0.972950i	$0.425794\pi$
$294$	−5.81503	−	3.88548i	−0.339139	−	0.226606i
$295$	5.10238	+	7.25758i	0.297072	+	0.422552i
$296$	−4.04382	−	6.05201i	−0.235043	−	0.351766i
$297$	9.82960	−	23.7308i	0.570371	−	1.37700i
$298$	−3.12943	+	7.55512i	−0.181283	+	0.437656i
$299$	4.32586	+	6.47411i	0.250171	+	0.374407i
$300$	8.86174	+	11.9901i	0.511633	+	0.692249i
$301$	3.36934	+	2.25132i	0.194205	+	0.129764i
$302$	8.66532			0.498633
$303$	31.7549	+	21.2179i	1.82427	+	1.21894i
$304$	5.97048	+	2.47306i	0.342431	+	0.141839i
$305$	−6.72009	−	6.40867i	−0.384791	−	0.366959i
$306$	24.2922	−	0.0371424i	1.38869	−	0.00212329i
$307$	−10.8126	−	10.8126i	−0.617106	−	0.617106i	0.327682	−	0.944788i	$-0.393733\pi$
$307$	−10.8126	−	10.8126i	−0.617106	−	0.617106i	−0.944788	+	0.327682i	$0.893733\pi$
$308$	5.93749	−	2.45939i	0.338320	−	0.140137i
$309$	−7.14862	−	35.9386i	−0.406671	−	2.04447i
$310$	7.81806	+	7.45575i	0.444036	+	0.423458i
$311$	0.359069	−	0.537385i	0.0203609	−	0.0304723i	−0.821150	−	0.570713i	$-0.806667\pi$
$311$	0.359069	−	0.537385i	0.0203609	−	0.0304723i	0.841510	+	0.540241i	$0.181667\pi$
$312$	8.45347	+	12.6515i	0.478584	+	0.716251i
$313$	−3.24537	−	0.645545i	−0.183439	−	0.0364883i	0.102516	−	0.994731i	$-0.467311\pi$
$313$	−3.24537	−	0.645545i	−0.183439	−	0.0364883i	−0.285955	+	0.958243i	$0.592311\pi$
$314$	−5.65783	+	2.34355i	−0.319290	+	0.132254i
$315$	−11.4967	−	25.9941i	−0.647764	−	1.46460i
$316$	−12.8356	+	8.57650i	−0.722061	+	0.482466i
$317$	11.7898	−	7.87772i	0.662183	−	0.442457i	−0.178532	−	0.983934i	$-0.557135\pi$
$317$	11.7898	−	7.87772i	0.662183	−	0.442457i	0.840715	+	0.541477i	$0.182135\pi$
$318$	−8.55035	+	1.70077i	−0.479480	+	0.0953745i
$319$	−14.4848	−	14.4848i	−0.810993	−	0.810993i
$320$	−1.19785	+	1.88816i	−0.0669621	+	0.105551i
$321$	−2.84359	+	6.86503i	−0.158714	+	0.383169i
$322$	2.32787	−	2.32787i	0.129727	−	0.129727i
$323$	−24.6013	+	10.2343i	−1.36885	+	0.569451i
$324$		−	8.03729i		−	0.446516i
$325$	−10.8703	−	23.0821i	−0.602976	−	1.28037i
$326$	−12.9467	+	2.57526i	−0.717053	+	0.142631i
$327$		−	54.4744i		−	3.01244i
$328$	−0.708391	−	3.56132i	−0.0391144	−	0.196641i
$329$	−1.95744	+	9.84074i	−0.107917	+	0.542537i
$330$	−19.5668	−	3.41185i	−1.07712	−	0.187816i
$331$	10.8628	+	26.2251i	0.597073	+	1.44146i	0.876550	+	0.481310i	$0.159839\pi$
$331$	10.8628	+	26.2251i	0.597073	+	1.44146i	−0.279477	+	0.960152i	$0.590161\pi$
$332$	9.03070	+	3.74064i	0.495624	+	0.205294i
$333$	8.36627	−	42.0601i	0.458469	−	2.30488i
$334$	−17.3259	−	3.44634i	−0.948032	−	0.188575i
$335$	6.02383	+	3.82154i	0.329117	+	0.208793i
$336$	4.54905	−	4.54905i	0.248171	−	0.248171i
$337$	1.47169	−	2.20255i	0.0801683	−	0.119980i	−0.789219	−	0.614112i	$-0.789514\pi$
$337$	1.47169	−	2.20255i	0.0801683	−	0.119980i	0.869387	+	0.494132i	$0.164514\pi$
$338$	−4.98940	−	12.0455i	−0.271387	−	0.655187i
$339$	37.4747			2.03535
$340$	−2.02632	−	8.99411i	−0.109893	−	0.487774i
$341$	−14.3918			−0.779360
$342$	14.5706	+	35.1765i	0.787886	+	1.90213i
$343$	11.2015	−	16.7643i	0.604827	−	0.905187i
$344$	1.32813	−	1.32813i	0.0716080	−	0.0716080i
$345$	−9.92902	+	2.22101i	−0.534561	+	0.119575i
$346$	9.66705	+	1.92290i	0.519704	+	0.103376i
$347$	4.22862	−	21.2587i	0.227004	−	1.14123i	−0.684207	−	0.729288i	$-0.739851\pi$
$347$	4.22862	−	21.2587i	0.227004	−	1.14123i	0.911211	−	0.411940i	$-0.135149\pi$
$348$	−18.9448	−	7.84720i	−1.01555	−	0.420654i
$349$	−2.37113	−	5.72441i	−0.126923	−	0.306420i	0.847626	−	0.530595i	$-0.178031\pi$
$349$	−2.37113	−	5.72441i	−0.126923	−	0.306420i	−0.974549	+	0.224174i	$0.928031\pi$
$350$	−8.67506	+	6.41163i	−0.463701	+	0.342716i
$351$	−8.58400	+	43.1547i	−0.458180	+	2.30343i
$352$	−0.581141	−	2.92159i	−0.0309749	−	0.155721i
$353$		−	18.7851i		−	0.999831i	−0.866074	−	0.499915i	$-0.833364\pi$
$353$		−	18.7851i		−	0.999831i	0.866074	−	0.499915i	$-0.166636\pi$
$354$	−11.6035	+	2.30807i	−0.616718	+	0.122673i
$355$	5.19653	+	11.7494i	0.275803	+	0.623595i
$356$			7.65207i			0.405559i
$357$	0.0405567	+	26.5252i	0.00214649	+	1.40386i
$358$	1.54515	−	1.54515i	0.0816635	−	0.0816635i
$359$	0.798627	−	1.92806i	0.0421499	−	0.101759i	−0.901402	−	0.432982i	$-0.857461\pi$
$359$	0.798627	−	1.92806i	0.0421499	−	0.101759i	0.943552	+	0.331223i	$0.107461\pi$
$360$	−12.8566	+	2.87587i	−0.677602	+	0.151572i
$361$	−16.0956	−	16.0956i	−0.847139	−	0.847139i
$362$	11.9768	−	2.38233i	0.629484	−	0.125212i
$363$	−5.27256	+	3.52301i	−0.276738	+	0.184910i
$364$	−9.15360	+	6.11624i	−0.479779	+	0.320578i
$365$	20.0767	−	8.87951i	1.05086	−	0.464775i
$366$	11.4407	−	4.73891i	0.598017	−	0.247707i
$367$	−1.33182	−	0.264915i	−0.0695204	−	0.0138285i	0.160208	−	0.987083i	$-0.448784\pi$
$367$	−1.33182	−	0.264915i	−0.0695204	−	0.0138285i	−0.229728	+	0.973255i	$0.573784\pi$
$368$	−0.847753	−	1.26875i	−0.0441922	−	0.0661383i
$369$	11.8856	−	17.7880i	0.618737	−	0.926006i
$370$	−16.2711	+	0.385957i	−0.845893	+	0.0200650i
$371$	−1.23054	−	6.18633i	−0.0638863	−	0.321178i
$372$	−13.3100	+	5.51318i	−0.690091	+	0.285845i
$373$	6.12982	+	6.12982i	0.317390	+	0.317390i	0.847764	−	0.530374i	$-0.177948\pi$
$373$	6.12982	+	6.12982i	0.317390	+	0.317390i	−0.530374	+	0.847764i	$0.677948\pi$
$374$	10.2226	+	6.80790i	0.528596	+	0.352028i
$375$	33.2543	−	2.36998i	1.71725	−	0.122385i
$376$	4.29662	+	1.77972i	0.221581	+	0.0917819i
$377$	29.1764	+	19.4950i	1.50266	+	1.00405i
$378$	18.6034			0.956857
$379$	−9.90108	−	6.61569i	−0.508584	−	0.339825i	0.274658	−	0.961542i	$-0.411435\pi$
$379$	−9.90108	−	6.61569i	−0.508584	−	0.339825i	−0.783242	+	0.621717i	$0.786435\pi$
$380$	11.8213	−	8.31086i	0.606419	−	0.426338i
$381$	−3.69429	−	5.52889i	−0.189264	−	0.283254i
$382$	1.69034	−	4.08083i	0.0864851	−	0.208793i
$383$	−5.76328	+	13.9138i	−0.294490	+	0.710962i	0.705507	+	0.708702i	$0.250719\pi$
$383$	−5.76328	+	13.9138i	−0.294490	+	0.710962i	−0.999997	+	0.00225919i	$0.999281\pi$
$384$	−1.65666	−	2.47936i	−0.0845408	−	0.126524i
$385$	2.46853	−	14.1569i	0.125808	−	0.721504i
$386$	19.6632	+	13.1386i	1.00083	+	0.668735i
$387$	11.0662			0.562527
$388$	2.23208	+	1.49143i	0.113317	+	0.0757158i
$389$	−24.1120	−	9.98753i	−1.22253	−	0.506388i	−0.324315	−	0.945949i	$-0.605134\pi$
$389$	−24.1120	−	9.98753i	−1.22253	−	0.506388i	−0.898213	+	0.439561i	$0.855134\pi$
$390$	34.0141	−	0.806830i	1.72237	−	0.0408554i
$391$	6.17249	+	1.21798i	0.312156	+	0.0615957i
$392$	−1.65843	−	1.65843i	−0.0837634	−	0.0837634i
$393$	−34.7670	+	14.4010i	−1.75376	+	0.726433i
$394$	−0.300658	−	1.51151i	−0.0151469	−	0.0761487i
$395$	0.818573	+	34.5091i	0.0411869	+	1.73634i
$396$	9.75051	−	14.5927i	0.489981	−	0.733309i
$397$	14.0544	+	21.0338i	0.705368	+	1.05566i	0.995131	+	0.0985598i	$0.0314236\pi$
$397$	14.0544	+	21.0338i	0.705368	+	1.05566i	−0.289763	+	0.957098i	$0.593576\pi$
$398$	4.81198	+	0.957161i	0.241203	+	0.0479782i
$399$	−38.4101	+	15.9100i	−1.92291	+	0.796495i
$400$	2.13029	+	4.52348i	0.106515	+	0.226174i
$401$	−8.53692	+	5.70419i	−0.426314	+	0.284854i	−0.750160	−	0.661256i	$-0.770024\pi$
$401$	−8.53692	+	5.70419i	−0.426314	+	0.284854i	0.323847	+	0.946110i	$0.395024\pi$
$402$	−7.90995	+	5.28526i	−0.394512	+	0.263605i
$403$	24.1795	−	4.80959i	1.20446	−	0.239583i
$404$	9.05641	+	9.05641i	0.450573	+	0.450573i
$405$	−15.1757	−	9.62750i	−0.754086	−	0.478394i
$406$	5.67759	−	13.7069i	0.281774	−	0.680263i
$407$	15.3315	−	15.3315i	0.759953	−	0.759953i
$408$	12.0621	+	2.38014i	0.597163	+	0.117834i
$409$		−	18.8720i		−	0.933158i	−0.884480	−	0.466579i	$-0.845486\pi$
$409$		−	18.8720i		−	0.933158i	0.884480	−	0.466579i	$-0.154514\pi$
$410$	−7.57290	−	2.92839i	−0.373999	−	0.144623i
$411$	9.65016	−	1.91954i	0.476007	−	0.0946838i
$412$		−	12.2883i		−	0.605403i
$413$	−1.66993	−	8.39532i	−0.0821720	−	0.413107i
$414$	1.75392	−	8.81754i	0.0862003	−	0.433358i
$415$	17.8804	−	12.5707i	0.877714	−	0.617070i
$416$	1.95273	+	4.71431i	0.0957406	+	0.231138i
$417$	36.6352	+	15.1748i	1.79403	+	0.743113i
$418$	−3.75557	+	18.8805i	−0.183691	+	0.923476i
$419$	−2.17804	−	0.433238i	−0.106404	−	0.0211651i	0.141601	−	0.989924i	$-0.454775\pi$
$419$	−2.17804	−	0.433238i	−0.106404	−	0.0211651i	−0.248005	+	0.968759i	$0.579775\pi$
$420$	−3.14023	−	14.0384i	−0.153228	−	0.685005i
$421$	−19.5353	+	19.5353i	−0.952094	+	0.952094i	−0.998904	−	0.0468096i	$-0.985095\pi$
$421$	−19.5353	+	19.5353i	−0.952094	+	0.952094i	0.0468096	+	0.998904i	$0.485095\pi$
$422$	14.8005	−	22.1505i	0.720476	−	1.07827i
$423$	10.4856	+	25.3145i	0.509828	+	1.23083i
$424$	−2.92359			−0.141982
$425$	−19.4096	−	6.94762i	−0.941501	−	0.337009i
$426$	−17.1325			−0.830071
$427$	3.42869	+	8.27758i	0.165926	+	0.400580i
$428$	−1.38444	+	2.07196i	−0.0669193	+	0.100152i
$429$	−32.0499	+	32.0499i	−1.54738	+	1.54738i
$430$	−0.916815	−	4.09863i	−0.0442127	−	0.197653i
$431$	26.3843	+	5.24817i	1.27089	+	0.252796i	0.784051	−	0.620697i	$-0.213150\pi$
$431$	26.3843	+	5.24817i	1.27089	+	0.252796i	0.486838	+	0.873492i	$0.338150\pi$
$432$	1.68223	−	8.45716i	0.0809365	−	0.406895i
$433$	−6.42099	−	2.65966i	−0.308573	−	0.127815i	0.223023	−	0.974813i	$-0.428408\pi$
$433$	−6.42099	−	2.65966i	−0.308573	−	0.127815i	−0.531596	+	0.846998i	$0.678408\pi$
$434$	−3.98889	−	9.63002i	−0.191473	−	0.462256i
$435$	−37.5099	+	26.3710i	−1.79846	+	1.26439i
$436$	3.56398	−	17.9173i	0.170684	−	0.858085i
$437$	1.92380	+	9.67161i	0.0920279	+	0.462656i
$438$			29.2749i			1.39881i
$439$	−11.9718	+	2.38134i	−0.571382	+	0.113655i	−0.472321	−	0.881426i	$-0.656584\pi$
$439$	−11.9718	+	2.38134i	−0.571382	+	0.113655i	−0.0990609	+	0.995081i	$0.531584\pi$
$440$	−6.21255	−	2.40235i	−0.296172	−	0.114528i
$441$		−	13.8183i		−	0.658015i
$442$	−19.4499	−	8.02159i	−0.925137	−	0.381548i
$443$	18.3210	−	18.3210i	0.870456	−	0.870456i	−0.122066	−	0.992522i	$-0.538952\pi$
$443$	18.3210	−	18.3210i	0.870456	−	0.870456i	0.992522	+	0.122066i	$0.0389519\pi$
$444$	8.30589	−	20.0522i	0.394180	−	0.951635i
$445$	14.4483	+	9.16606i	0.684916	+	0.434513i
$446$	−6.98556	−	6.98556i	−0.330776	−	0.330776i
$447$	−23.9163	+	4.75724i	−1.13120	+	0.225010i
$448$	1.79386	−	1.19862i	0.0847520	−	0.0566294i
$449$	31.2145	−	20.8568i	1.47310	−	0.984295i	0.478773	−	0.877939i	$-0.341082\pi$
$449$	31.2145	−	20.8568i	1.47310	−	0.984295i	0.994328	−	0.106356i	$-0.0339184\pi$
$450$	−9.97022	+	27.7201i	−0.470001	+	1.30674i
$451$	9.99306	−	4.13926i	0.470555	−	0.194910i
$452$	12.3259	+	2.45178i	0.579762	+	0.115322i
$453$	14.3554	+	21.4844i	0.674478	+	1.00943i
$454$	4.59868	−	6.88241i	0.215827	−	0.323007i
$455$	0.583756	+	24.6098i	0.0273669	+	1.15373i
$456$	3.75944	+	18.9000i	0.176052	+	0.885072i
$457$	16.6254	−	6.88648i	0.777705	−	0.322136i	0.0417158	−	0.999130i	$-0.486718\pi$
$457$	16.6254	−	6.88648i	0.777705	−	0.322136i	0.735989	+	0.676994i	$0.236718\pi$
$458$	−16.2199	−	16.2199i	−0.757904	−	0.757904i
$459$	19.7973	+	29.5309i	0.924060	+	1.37839i
$460$	−3.41109	+	0.0809127i	−0.159043	+	0.00377257i
$461$	22.1601	+	9.17900i	1.03210	+	0.427508i	0.833469	−	0.552566i	$-0.186351\pi$
$461$	22.1601	+	9.17900i	1.03210	+	0.427508i	0.198628	+	0.980075i	$0.436351\pi$
$462$	15.9341	+	10.6468i	0.741321	+	0.495335i
$463$	−35.3808			−1.64428			−0.822142	−	0.569283i	$-0.807221\pi$
$463$	−35.3808			−1.64428			−0.822142	+	0.569283i	$0.807221\pi$
$464$	−5.71779	−	3.82051i	−0.265442	−	0.177363i
$465$	−5.53367	+	31.7354i	−0.256618	+	1.47169i
$466$	−15.4019	−	23.0506i	−0.713479	−	1.06780i
$467$	−8.59445	+	20.7488i	−0.397704	+	0.960142i	0.590506	+	0.807033i	$0.298928\pi$
$467$	−8.59445	+	20.7488i	−0.397704	+	0.960142i	−0.988209	+	0.153108i	$0.951072\pi$
$468$	−11.5050	+	27.7755i	−0.531818	+	1.28392i
$469$	−3.82398	−	5.72299i	−0.176575	−	0.264263i
$470$	8.50711	−	5.98085i	0.392404	−	0.275876i
$471$	−15.1836	−	10.1453i	−0.699622	−	0.467472i
$472$	−3.96754			−0.182621
$473$	4.65208	+	3.10842i	0.213903	+	0.142925i
$474$	−42.5285	−	17.6159i	−1.95340	−	0.809123i
$475$	−1.53205	−	32.2757i	−0.0702953	−	1.48091i
$476$	−1.72207	+	8.72715i	−0.0789310	+	0.400008i
$477$	−12.1799	−	12.1799i	−0.557681	−	0.557681i
$478$	−20.1720	+	8.35550i	−0.922644	+	0.382172i
$479$	3.75915	+	18.8985i	0.171760	+	0.863496i	0.966524	+	0.256577i	$0.0825947\pi$
$479$	3.75915	+	18.8985i	0.171760	+	0.863496i	−0.794764	+	0.606919i	$0.792405\pi$
$480$	−6.66586	+	0.158117i	−0.304253	+	0.00721703i
$481$	−20.6346	+	30.8818i	−0.940856	+	1.40809i
$482$	−6.19568	−	9.27249i	−0.282206	−	0.422350i
$483$	9.62809	+	1.91515i	0.438093	+	0.0871421i
$484$	−1.96470	+	0.813807i	−0.0893048	+	0.0369912i
$485$	5.48976	−	2.42801i	0.249277	−	0.110250i
$486$	−1.58158	+	1.05678i	−0.0717422	+	0.0479366i
$487$	−25.8876	+	17.2975i	−1.17308	+	0.783826i	−0.980319	−	0.197420i	$-0.936744\pi$
$487$	−25.8876	+	17.2975i	−1.17308	+	0.783826i	−0.192760	+	0.981246i	$0.561744\pi$
$488$	4.07305	−	0.810180i	0.184378	−	0.0366751i
$489$	−27.8333	−	27.8333i	−1.25866	−	1.25866i
$490$	−5.11794	+	1.14482i	−0.231205	+	0.0517178i
$491$	−12.1296	+	29.2835i	−0.547403	+	1.32155i	0.372001	+	0.928232i	$0.378672\pi$
$491$	−12.1296	+	29.2835i	−0.547403	+	1.32155i	−0.919404	+	0.393315i	$0.871328\pi$
$492$	7.65624	−	7.65624i	0.345170	−	0.345170i
$493$	27.8002	−	5.57400i	1.25206	−	0.251041i
$494$		−	32.9759i		−	1.48366i
$495$	−15.8736	−	35.8904i	−0.713465	−	1.61315i
$496$	−4.73853	+	0.942552i	−0.212766	+	0.0423218i
$497$		−	12.3957i		−	0.556021i
$498$	5.68637	+	28.5873i	0.254812	+	1.28103i
$499$	5.07928	−	25.5353i	0.227380	−	1.14312i	−0.683343	−	0.730098i	$-0.739475\pi$
$499$	5.07928	−	25.5353i	0.227380	−	1.14312i	0.910723	−	0.413018i	$-0.135525\pi$
$500$	11.0928	+	1.39614i	0.496086	+	0.0624373i
$501$	−20.1584	−	48.6666i	−0.900609	−	2.17426i
$502$	−7.36670	−	3.05139i	−0.328792	−	0.136190i
$503$	3.91748	−	19.6945i	0.174672	−	0.878134i	−0.789682	−	0.613517i	$-0.789754\pi$
$503$	3.91748	−	19.6945i	0.174672	−	0.878134i	0.964353	−	0.264617i	$-0.0852457\pi$
$504$	12.4669	+	2.47982i	0.555321	+	0.110460i
$505$	27.9482	−	6.25168i	1.24368	−	0.278196i
$506$	3.21411	−	3.21411i	0.142885	−	0.142885i
$507$	21.5993	−	32.3257i	0.959260	−	1.43563i
$508$	−0.853371	−	2.06022i	−0.0378622	−	0.0914075i
$509$	2.28523			0.101291			0.0506455	−	0.998717i	$-0.483872\pi$
$509$	2.28523			0.101291			0.0506455	+	0.998717i	$0.483872\pi$
$510$	18.9427	−	19.9241i	0.838798	−	0.882255i
$511$	−21.1809			−0.936988
$512$	−0.382683	−	0.923880i	−0.0169124	−	0.0408301i
$513$	−30.9588	+	46.3331i	−1.36686	+	2.04566i
$514$	8.42923	−	8.42923i	0.371797	−	0.371797i
$515$	−23.2024	−	14.7197i	−1.02242	−	0.648625i
$516$	5.49317	+	1.09266i	0.241823	+	0.0481016i
$517$	−2.70267	+	13.5872i	−0.118863	+	0.597565i
$518$	14.5081	+	6.00946i	0.637450	+	0.264040i
$519$	11.2474	+	27.1537i	0.493707	+	1.19191i
$520$	11.2405	+	1.95999i	0.492927	+	0.0859513i
$521$	4.26245	−	21.4288i	0.186741	−	0.938812i	−0.767790	−	0.640701i	$-0.778644\pi$
$521$	4.26245	−	21.4288i	0.186741	−	0.938812i	0.954531	−	0.298110i	$-0.0963563\pi$
$522$	−7.90425	−	39.7373i	−0.345960	−	1.73926i
$523$		−	38.7971i		−	1.69648i	−0.529614	−	0.848239i	$-0.677663\pi$
$523$		−	38.7971i		−	1.69648i	0.529614	−	0.848239i	$-0.322337\pi$
$524$	−12.3775	+	2.46204i	−0.540714	+	0.107555i
$525$	−30.2683	−	10.8867i	−1.32102	−	0.475136i
$526$			14.0896i			0.614334i
$527$	11.0417	−	16.5800i	0.480986	−	0.722234i
$528$	6.28093	−	6.28093i	0.273342	−	0.273342i
$529$	−7.91067	+	19.0981i	−0.343942	+	0.830350i
$530$	−3.50204	+	5.52021i	−0.152119	+	0.239783i
$531$	−16.5291	−	16.5291i	−0.717301	−	0.717301i
$532$	−13.6745	+	2.72002i	−0.592863	+	0.117928i
$533$	−15.4059	+	10.2939i	−0.667304	+	0.445878i
$534$	−18.9722	+	12.6768i	−0.821008	+	0.548580i
$535$	2.25383	+	5.09594i	0.0974415	+	0.220317i
$536$	−2.94747	+	1.22088i	−0.127311	+	0.0527341i
$537$	6.39075	+	1.27120i	0.275781	+	0.0548563i
$538$	2.41356	+	3.61214i	0.104056	+	0.155731i
$539$	3.88147	−	5.80904i	0.167187	−	0.250213i
$540$	−13.9534	−	13.3068i	−0.600459	−	0.572632i
$541$	2.10863	+	10.6008i	0.0906572	+	0.455765i	0.999273	+	0.0381310i	$0.0121404\pi$
$541$	2.10863	+	10.6008i	0.0906572	+	0.455765i	−0.908616	+	0.417634i	$0.862860\pi$
$542$	−3.02758	+	1.25406i	−0.130046	+	0.0538666i
$543$	25.7480	+	25.7480i	1.10495	+	1.10495i
$544$	3.81166	+	1.57202i	0.163424	+	0.0673997i
$545$	−29.5617	−	28.1917i	−1.26628	−	1.20760i
$546$	−30.3287	−	12.5626i	−1.29795	−	0.537628i
$547$	20.0384	+	13.3892i	0.856780	+	0.572482i	0.904546	−	0.426376i	$-0.140210\pi$
$547$	20.0384	+	13.3892i	0.856780	+	0.572482i	−0.0477657	+	0.998859i	$0.515210\pi$
$548$	3.29965			0.140954
$549$	20.3439	+	13.5934i	0.868258	+	0.580151i
$550$	−11.9778	+	8.85261i	−0.510733	+	0.377477i
$551$	24.6897	+	36.9507i	1.05182	+	1.57415i
$552$	1.74126	−	4.20377i	0.0741129	−	0.178924i
$553$	12.7454	−	30.7701i	0.541989	−	1.30848i
$554$	−9.52519	−	14.2554i	−0.404686	−	0.605656i
$555$	−27.9125	−	39.7024i	−1.18482	−	1.68527i
$556$	11.0570	+	7.38804i	0.468921	+	0.313323i
$557$	−33.9956			−1.44044			−0.720220	−	0.693746i	$-0.755959\pi$
$557$	−33.9956			−1.44044			−0.720220	+	0.693746i	$0.755959\pi$
$558$	−23.6678	−	15.8143i	−1.00194	−	0.669475i
$559$	−8.85471	−	3.66774i	−0.374514	−	0.155129i
$560$	−0.114401	−	4.82287i	−0.00483431	−	0.203803i
$561$	0.0559971	+	36.6237i	0.00236420	+	1.54626i
$562$	20.2089	+	20.2089i	0.852463	+	0.852463i
$563$	−7.11160	+	2.94572i	−0.299718	+	0.124147i	−0.527475	−	0.849571i	$-0.676861\pi$
$563$	−7.11160	+	2.94572i	−0.299718	+	0.124147i	0.227756	+	0.973718i	$0.426861\pi$
$564$	2.70545	+	13.6012i	0.113920	+	0.572715i
$565$	19.3940	−	20.3364i	0.815911	−	0.855559i
$566$	−1.67518	+	2.50708i	−0.0704129	+	0.105380i
$567$	9.63365	+	14.4178i	0.404575	+	0.605490i
$568$	−5.63509	−	1.12089i	−0.236443	−	0.0470315i
$569$	18.4941	−	7.66052i	0.775314	−	0.321146i	0.0402912	−	0.999188i	$-0.487171\pi$
$569$	18.4941	−	7.66052i	0.775314	−	0.321146i	0.735023	+	0.678042i	$0.237171\pi$
$570$	40.1894	+	15.5410i	1.68335	+	0.650941i
$571$	8.82341	−	5.89561i	0.369248	−	0.246724i	−0.357077	−	0.934075i	$-0.616227\pi$
$571$	8.82341	−	5.89561i	0.369248	−	0.246724i	0.726325	+	0.687351i	$0.241227\pi$
$572$	−12.6385	+	8.44477i	−0.528442	+	0.353093i
$573$	12.9181	−	2.56958i	0.539663	−	0.107346i
$574$	5.53943	+	5.53943i	0.231211	+	0.231211i
$575$	−3.93321	+	6.53761i	−0.164026	+	0.272637i
$576$	2.25467	−	5.44325i	0.0939445	−	0.226802i
$577$	26.0481	−	26.0481i	1.08440	−	1.08440i	0.0883015	−	0.996094i	$-0.471856\pi$
$577$	26.0481	−	26.0481i	1.08440	−	1.08440i	0.996094	−	0.0883015i	$-0.0281439\pi$
$578$	−15.6860	+	6.55362i	−0.652451	+	0.272594i
$579$			70.5183i			2.93064i
$580$	−14.0628	+	6.21969i	−0.583926	+	0.258259i
$581$	−20.6834	+	4.11419i	−0.858093	+	0.170685i
$582$			8.00491i			0.331814i
$583$	−1.69902	−	8.54154i	−0.0703662	−	0.353755i
$584$	−1.91531	+	9.62889i	−0.0792559	+	0.398446i
$585$	38.6632	+	54.9942i	1.59853	+	2.27373i
$586$	3.02656	+	7.30675i	0.125026	+	0.301839i
$587$	16.6684	+	6.90430i	0.687980	+	0.284971i	0.699159	−	0.714967i	$-0.253558\pi$
$587$	16.6684	+	6.90430i	0.687980	+	0.284971i	−0.0111781	+	0.999938i	$0.503558\pi$
$588$	1.36440	−	6.85929i	0.0562668	−	0.282872i
$589$	30.6223	+	6.09115i	1.26177	+	0.250982i
$590$	−4.75253	+	7.49134i	−0.195659	+	0.308414i
$591$	3.24949	−	3.24949i	0.133666	−	0.133666i
$592$	4.04382	−	6.05201i	0.166200	−	0.248736i
$593$	−7.89203	−	19.0530i	−0.324087	−	0.782414i	−0.999008	−	0.0445250i	$-0.985823\pi$
$593$	−7.89203	−	19.0530i	−0.324087	−	0.782414i	0.674922	−	0.737889i	$-0.264177\pi$
$594$	25.6860			1.05391
$595$	14.4155	+	13.7054i	0.590976	+	0.561866i
$596$	−8.17761			−0.334968
$597$	5.59864	+	13.5163i	0.229137	+	0.553185i
$598$	−4.32586	+	6.47411i	−0.176898	+	0.264746i
$599$	−8.03343	+	8.03343i	−0.328237	+	0.328237i	−0.851916	−	0.523679i	$-0.824559\pi$
$599$	−8.03343	+	8.03343i	−0.328237	+	0.328237i	0.523679	+	0.851916i	$0.324559\pi$
$600$	−7.68617	+	12.7756i	−0.313787	+	0.521562i
$601$	16.8364	+	3.34896i	0.686770	+	0.136607i	0.526127	−	0.850406i	$-0.323644\pi$
$601$	16.8364	+	3.34896i	0.686770	+	0.136607i	0.160642	+	0.987013i	$0.448644\pi$
$602$	−0.790558	+	3.97440i	−0.0322207	+	0.161985i
$603$	−17.3657	−	7.19311i	−0.707186	−	0.292926i
$604$	3.31607	+	8.00571i	0.134929	+	0.325748i
$605$	−0.816832	+	4.68450i	−0.0332089	+	0.190452i
$606$	−7.45075	+	37.4574i	−0.302666	+	1.52160i
$607$	−2.99343	−	15.0490i	−0.121500	−	0.610821i	−0.992772	−	0.120020i	$-0.961704\pi$
$607$	−2.99343	−	15.0490i	−0.121500	−	0.610821i	0.871272	−	0.490801i	$-0.163296\pi$
$608$			6.46241i			0.262085i
$609$	43.3902	−	8.63085i	1.75826	−	0.349740i
$610$	3.34917	−	8.66104i	0.135604	−	0.350675i
$611$		−	23.7309i		−	0.960050i
$612$	9.33054	+	22.4288i	0.377165	+	0.906632i
$613$	−5.02517	+	5.02517i	−0.202965	+	0.202965i	−0.801269	−	0.598304i	$-0.795841\pi$
$613$	−5.02517	+	5.02517i	−0.202965	+	0.202965i	0.598304	+	0.801269i	$0.295841\pi$
$614$	5.85173	−	14.1273i	0.236156	−	0.570132i
$615$	−5.28514	−	23.6273i	−0.213118	−	0.952743i
$616$	4.54436	+	4.54436i	0.183098	+	0.183098i
$617$	7.62776	−	1.51726i	0.307082	−	0.0610824i	−0.0391439	−	0.999234i	$-0.512463\pi$
$617$	7.62776	−	1.51726i	0.307082	−	0.0610824i	0.346226	+	0.938151i	$0.387463\pi$
$618$	30.4672	−	20.3576i	1.22557	−	0.818901i
$619$	−23.2443	+	15.5314i	−0.934268	+	0.624258i	−0.926736	−	0.375714i	$-0.877398\pi$
$619$	−23.2443	+	15.5314i	−0.934268	+	0.624258i	−0.00753243	+	0.999972i	$0.502398\pi$
$620$	−3.89638	+	10.0761i	−0.156482	+	0.404667i
$621$	12.1562	−	5.03525i	0.487810	−	0.202058i
$622$	0.633889	+	0.126088i	0.0254166	+	0.00505568i
$623$	−9.17192	−	13.7267i	−0.367465	−	0.549950i
$624$	−8.45347	+	12.6515i	−0.338410	+	0.506466i
$625$	15.9237	−	19.2726i	0.636949	−	0.770906i
$626$	−0.645545	−	3.24537i	−0.0258011	−	0.129711i
$627$	−53.0332	+	21.9671i	−2.11794	+	0.877281i
$628$	−4.33031	−	4.33031i	−0.172798	−	0.172798i
$629$	5.89982	+	29.4252i	0.235241	+	1.17326i
$630$	19.6159	−	20.5691i	0.781514	−	0.819491i
$631$	16.9058	+	7.00260i	0.673008	+	0.278769i	0.692901	−	0.721033i	$-0.256332\pi$
$631$	16.9058	+	7.00260i	0.673008	+	0.278769i	−0.0198927	+	0.999802i	$0.506332\pi$
$632$	−12.8356	−	8.57650i	−0.510574	−	0.341155i
$633$	79.4383			3.15739
$634$	11.7898	+	7.87772i	0.468234	+	0.312864i
$635$	−4.91224	−	0.856543i	−0.194936	−	0.0339909i
$636$	−4.84339	−	7.24864i	−0.192053	−	0.287427i
$637$	−4.57989	+	11.0568i	−0.181462	+	0.438088i
$638$	7.83912	−	18.9253i	0.310354	−	0.749260i
$639$	−18.8065	−	28.1460i	−0.743975	−	1.11344i
$640$	−2.20283	−	0.384106i	−0.0870745	−	0.0151831i
$641$	−29.4328	−	19.6664i	−1.16253	−	0.776776i	−0.184007	−	0.982925i	$-0.558907\pi$
$641$	−29.4328	−	19.6664i	−1.16253	−	0.776776i	−0.978521	+	0.206149i	$0.933907\pi$
$642$	−7.43066			−0.293265
$643$	−8.70912	−	5.81925i	−0.343454	−	0.229489i	0.371865	−	0.928287i	$-0.378719\pi$
$643$	−8.70912	−	5.81925i	−0.343454	−	0.229489i	−0.715319	+	0.698798i	$0.753719\pi$
$644$	3.04150	+	1.25983i	0.119852	+	0.0496443i
$645$	8.64313	−	9.06313i	0.340323	−	0.356860i
$646$	−18.8698	−	18.8122i	−0.742421	−	0.740154i
$647$	1.76443	+	1.76443i	0.0693668	+	0.0693668i	0.740939	−	0.671572i	$-0.234381\pi$
$647$	1.76443	+	1.76443i	0.0693668	+	0.0693668i	−0.671572	+	0.740939i	$0.734381\pi$
$648$	7.42549	−	3.07574i	0.291701	−	0.120826i
$649$	−2.30570	−	11.5915i	−0.0905065	−	0.455007i
$650$	17.1652	−	18.8760i	0.673275	−	0.740378i
$651$	17.2681	−	25.8435i	0.676789	−	1.01289i
$652$	−7.33373	−	10.9757i	−0.287211	−	0.429842i
$653$	−11.8061	−	2.34838i	−0.462008	−	0.0918991i	−0.0414020	−	0.999143i	$-0.513182\pi$
$653$	−11.8061	−	2.34838i	−0.462008	−	0.0918991i	−0.420606	+	0.907243i	$0.638182\pi$
$654$	50.3278	−	20.8465i	1.96797	−	0.815161i
$655$	−10.1777	+	26.3199i	−0.397677	+	1.02840i
$656$	3.01915	−	2.01733i	0.117878	−	0.0787634i
$657$	−48.0941	+	32.1354i	−1.87633	+	1.25372i
$658$	−9.84074	+	1.95744i	−0.383632	+	0.0763091i
$659$	21.1376	+	21.1376i	0.823403	+	0.823403i	0.986594	−	0.163192i	$-0.0521789\pi$
$659$	21.1376	+	21.1376i	0.823403	+	0.823403i	−0.163192	+	0.986594i	$0.552179\pi$
$660$	−4.33575	−	19.3830i	−0.168769	−	0.754483i
$661$	−7.99380	+	19.2988i	−0.310923	+	0.750634i	0.688748	+	0.725000i	$0.258160\pi$
$661$	−7.99380	+	19.2988i	−0.310923	+	0.750634i	−0.999671	+	0.0256340i	$0.991840\pi$
$662$	−20.0718	+	20.0718i	−0.780114	+	0.780114i
$663$	−12.3334	−	61.5123i	−0.478988	−	2.38894i
$664$			9.77476i			0.379334i
$665$	−11.2442	+	29.0778i	−0.436031	+	1.12759i
$666$	42.0601	−	8.36627i	1.62980	−	0.324186i
$667$		−	10.4933i		−	0.406303i
$668$	−3.44634	−	17.3259i	−0.133343	−	0.670360i
$669$	5.74706	−	28.8924i	0.222194	−	1.11704i
$670$	−1.22542	+	7.02773i	−0.0473421	+	0.271505i
$671$	4.73403	+	11.4290i	0.182755	+	0.441210i
$672$	5.94362	+	2.46193i	0.229280	+	0.0949709i
$673$	−7.08590	+	35.6232i	−0.273141	+	1.37317i	0.563813	+	0.825902i	$0.309334\pi$
$673$	−7.08590	+	35.6232i	−0.273141	+	1.37317i	−0.836955	+	0.547272i	$0.815666\pi$
$674$	2.59808	+	0.516790i	0.100074	+	0.0199060i
$675$	−41.8394	+	10.4067i	−1.61040	+	0.400553i
$676$	9.21920	−	9.21920i	0.354585	−	0.354585i
$677$	−3.38302	+	5.06304i	−0.130020	+	0.194588i	−0.890767	−	0.454459i	$-0.849832\pi$
$677$	−3.38302	+	5.06304i	−0.130020	+	0.194588i	0.760748	+	0.649048i	$0.224832\pi$
$678$	14.3409	+	34.6221i	0.550761	+	1.32965i
$679$	−5.79170			−0.222265
$680$	7.53403	−	5.31397i	0.288917	−	0.203782i
$681$	24.6824			0.945831
$682$	−5.50750	−	13.2963i	−0.210893	−	0.509141i
$683$	−13.7095	+	20.5178i	−0.524581	+	0.785091i	−0.995264	−	0.0972115i	$-0.969008\pi$
$683$	−13.7095	+	20.5178i	−0.524581	+	0.785091i	0.470683	+	0.882303i	$0.344008\pi$
$684$	−26.9229	+	26.9229i	−1.02942	+	1.02942i
$685$	3.95250	−	6.23026i	0.151017	−	0.238046i
$686$	19.7748	+	3.93346i	0.755007	+	0.150180i
$687$	13.3441	−	67.0855i	0.509111	−	2.55947i
$688$	1.73529	+	0.718779i	0.0661572	+	0.0274032i
$689$	5.70900	+	13.7827i	0.217495	+	0.525080i
$690$	−5.85161	−	8.32328i	−0.222767	−	0.316862i
$691$	−5.00947	+	25.1843i	−0.190569	+	0.958057i	0.760561	+	0.649267i	$0.224924\pi$
$691$	−5.00947	+	25.1843i	−0.190569	+	0.958057i	−0.951130	+	0.308790i	$0.900076\pi$
$692$	1.92290	+	9.66705i	0.0730975	+	0.367486i
$693$			37.8644i			1.43835i
$694$	21.2587	−	4.22862i	0.806970	−	0.160516i
$695$	27.1945	−	12.0276i	1.03154	−	0.456231i
$696$		−	20.5057i		−	0.777268i
$697$	−2.89832	+	14.6882i	−0.109782	+	0.556354i
$698$	4.38127	−	4.38127i	0.165834	−	0.165834i
$699$	31.6350	−	76.3737i	1.19655	−	2.88872i
$700$	−9.24337	−	5.56108i	−0.349367	−	0.210189i
$701$	−11.3764	−	11.3764i	−0.429679	−	0.429679i	0.458840	−	0.888519i	$-0.348265\pi$
$701$	−11.3764	−	11.3764i	−0.429679	−	0.429679i	−0.888519	+	0.458840i	$0.848265\pi$
$702$	−43.1547	+	8.58400i	−1.62877	+	0.323982i
$703$	−39.1106	+	26.1328i	−1.47508	+	0.985619i
$704$	2.47681	−	1.65495i	0.0933481	−	0.0623732i
$705$	28.9220	+	11.1840i	1.08927	+	0.421213i
$706$	17.3552	−	7.18875i	0.653171	−	0.270552i
$707$	−27.1011	−	5.39075i	−1.01924	−	0.202740i
$708$	−6.57284	−	9.83695i	−0.247022	−	0.369695i
$709$	3.94521	−	5.90443i	0.148165	−	0.221745i	−0.749962	−	0.661481i	$-0.769928\pi$
$709$	3.94521	−	5.90443i	0.148165	−	0.221745i	0.898127	+	0.439736i	$0.144928\pi$
$710$	−8.86643	+	9.29729i	−0.332751	+	0.348921i
$711$	−17.7439	−	89.2047i	−0.665449	−	3.34544i
$712$	−7.06959	+	2.92832i	−0.264944	+	0.109743i
$713$	−5.21297	−	5.21297i	−0.195227	−	0.195227i
$714$	−24.4906	+	10.1882i	−0.916538	+	0.381285i
$715$	0.805999	+	33.9791i	0.0301427	+	1.27075i
$716$	2.01883	+	0.836227i	0.0754473	+	0.0312513i
$717$	−54.1343	−	36.1714i	−2.02168	−	1.35084i
$718$	2.08691			0.0778829
$719$	−29.9430	−	20.0073i	−1.11669	−	0.746146i	−0.146670	−	0.989186i	$-0.546855\pi$
$719$	−29.9430	−	20.0073i	−1.11669	−	0.746146i	−0.970016	+	0.243040i	$0.921855\pi$
$720$	−7.57696	−	10.7774i	−0.282377	−	0.401650i
$721$	14.7291	+	22.0436i	0.548539	+	0.820946i
$722$	8.71090	−	21.0300i	0.324186	−	0.782655i
$723$	12.7257	−	30.7226i	0.473275	−	1.14259i
$724$	6.78429	+	10.1534i	0.252136	+	0.377348i
$725$	−5.10143	+	34.0031i	−0.189462	+	1.26284i
$726$	−5.27256	−	3.52301i	−0.195683	−	0.130751i
$727$	32.6875			1.21231			0.606156	−	0.795345i	$-0.292711\pi$
$727$	32.6875			1.21231			0.606156	+	0.795345i	$0.292711\pi$
$728$	−9.15360	−	6.11624i	−0.339255	−	0.226683i
$729$	−27.5167	−	11.3978i	−1.01914	−	0.422141i
$730$	15.8866	+	15.1504i	0.587990	+	0.560742i
$731$	−7.15023	+	2.97454i	−0.264461	+	0.110017i
$732$	8.75636	+	8.75636i	0.323645	+	0.323645i
$733$	19.6535	−	8.14076i	0.725920	−	0.300686i	0.0110459	−	0.999939i	$-0.496484\pi$
$733$	19.6535	−	8.14076i	0.725920	−	0.300686i	0.714874	+	0.699253i	$0.246484\pi$
$734$	−0.264915	−	1.33182i	−0.00977821	−	0.0491584i
$735$	−11.3171	−	10.7926i	−0.417437	−	0.398092i
$736$	0.847753	−	1.26875i	0.0312486	−	0.0467668i
$737$	−5.27981	−	7.90180i	−0.194484	−	0.291066i
$738$	20.9824	+	4.17365i	0.772371	+	0.153634i
$739$	29.6823	−	12.2948i	1.09188	−	0.452271i	0.237218	−	0.971456i	$-0.423764\pi$
$739$	29.6823	−	12.2948i	1.09188	−	0.452271i	0.854662	+	0.519185i	$0.173764\pi$
$740$	−6.58325	−	14.8848i	−0.242005	−	0.547177i
$741$	81.7592	−	54.6298i	3.00350	−	2.00687i
$742$	5.24452	−	3.50428i	0.192532	−	0.128646i
$743$	−12.2491	+	2.43650i	−0.449375	+	0.0893863i	−0.414590	−	0.910008i	$-0.636075\pi$
$743$	−12.2491	+	2.43650i	−0.449375	+	0.0893863i	−0.0347858	+	0.999395i	$0.511075\pi$
$744$	−10.1870	−	10.1870i	−0.373475	−	0.373475i
$745$	−9.79558	+	15.4406i	−0.358882	+	0.565701i
$746$	−3.31743	+	8.00899i	−0.121460	+	0.293230i
$747$	−40.7225	+	40.7225i	−1.48996	+	1.48996i
$748$	−2.37768	+	12.0497i	−0.0869367	+	0.440580i
$749$		−	5.37621i		−	0.196443i
$750$	14.9155	+	29.8160i	0.544635	+	1.08873i
$751$	1.41399	−	0.281260i	0.0515972	−	0.0102633i	−0.169224	−	0.985578i	$-0.554126\pi$
$751$	1.41399	−	0.281260i	0.0515972	−	0.0102633i	0.220821	+	0.975314i	$0.429126\pi$
$752$			4.65062i			0.169591i
$753$	−4.63859	−	23.3198i	−0.169040	−	0.849820i
$754$	−6.84575	+	34.4159i	−0.249307	+	1.25335i
$755$	19.0882	+	3.32840i	0.694692	+	0.121133i
$756$	7.11923	+	17.1873i	0.258924	+	0.625097i
$757$	25.0542	+	10.3778i	0.910610	+	0.377187i	0.788290	−	0.615304i	$-0.210967\pi$
$757$	25.0542	+	10.3778i	0.910610	+	0.377187i	0.122320	+	0.992491i	$0.460967\pi$
$758$	2.32312	−	11.6791i	0.0843796	−	0.424205i
$759$	13.2936	+	2.64426i	0.482528	+	0.0959807i
$760$	12.2020	+	7.74102i	0.442615	+	0.280796i
$761$	−23.9731	+	23.9731i	−0.869023	+	0.869023i	−0.992364	−	0.123342i	$-0.960639\pi$
$761$	−23.9731	+	23.9731i	−0.869023	+	0.869023i	0.123342	+	0.992364i	$0.460639\pi$
$762$	3.69429	−	5.52889i	0.133830	−	0.200291i
$763$	15.0828	+	36.4131i	0.546034	+	1.31824i
$764$	4.41706			0.159804
$765$	53.5259	+	9.24895i	1.93523	+	0.334397i
$766$	−15.0602			−0.544146
$767$	7.74754	+	18.7042i	0.279747	+	0.675370i
$768$	1.65666	−	2.47936i	0.0597794	−	0.0894662i
$769$	−15.9323	+	15.9323i	−0.574535	+	0.574535i	−0.933392	−	0.358858i	$-0.883166\pi$
$769$	−15.9323	+	15.9323i	−0.574535	+	0.574535i	0.358858	+	0.933392i	$0.383166\pi$
$770$	14.0240	−	3.13700i	0.505388	−	0.113049i
$771$	34.8634	+	6.93476i	1.25558	+	0.249749i
$772$	−4.61365	+	23.1944i	−0.166049	+	0.834784i
$773$	32.6005	+	13.5036i	1.17256	+	0.485690i	0.882038	−	0.471178i	$-0.156171\pi$
$773$	32.6005	+	13.5036i	1.17256	+	0.485690i	0.290522	+	0.956868i	$0.406171\pi$
$774$	4.23485	+	10.2238i	0.152219	+	0.367488i
$775$	14.3581	+	19.4267i	0.515757	+	0.697829i
$776$	−0.523720	+	2.63292i	−0.0188005	+	0.0945163i
$777$	9.13534	+	45.9264i	0.327728	+	1.64760i
$778$		−	26.0987i		−	0.935683i
$779$	−23.0147	+	4.57791i	−0.824588	+	0.164021i
$780$	13.7621	+	31.1162i	0.492760	+	1.11414i
$781$		−	17.1148i		−	0.612417i
$782$	1.23685	+	6.16874i	0.0442295	+	0.220594i
$783$	41.9293	−	41.9293i	1.49843	−	1.49843i
$784$	0.897536	−	2.16684i	0.0320549	−	0.0773873i
$785$	−13.3634	+	2.98924i	−0.476960	+	0.106690i
$786$	−26.6095	−	26.6095i	−0.949131	−	0.949131i
$787$	39.8421	−	7.92509i	1.42022	−	0.282499i	0.575540	−	0.817774i	$-0.304792\pi$
$787$	39.8421	−	7.92509i	1.42022	−	0.282499i	0.844678	+	0.535275i	$0.179792\pi$
$788$	1.28139	−	0.856201i	0.0456478	−	0.0305009i
$789$	−34.9331	+	23.3415i	−1.24365	+	0.830981i
$790$	−31.5690	+	13.9623i	−1.12318	+	0.496758i
$791$	−25.0497	+	10.3759i	−0.890665	+	0.368926i
$792$	17.2132	+	3.42392i	0.611645	+	0.121664i
$793$	−11.7730	−	17.6196i	−0.418072	−	0.625689i
$794$	−14.0544	+	21.0338i	−0.498771	+	0.746463i
$795$	−19.4883	+	0.462270i	−0.691177	+	0.0163950i
$796$	0.957161	+	4.81198i	0.0339257	+	0.170556i
$797$	29.9332	−	12.3988i	1.06029	−	0.439186i	0.216736	−	0.976230i	$-0.430459\pi$
$797$	29.9332	−	12.3988i	1.06029	−	0.439186i	0.843554	+	0.537044i	$0.180459\pi$
$798$	−29.3978	−	29.3978i	−1.04067	−	1.04067i
$799$	−13.5795	−	13.5380i	−0.480408	−	0.478941i
$800$	−3.36392	+	3.69919i	−0.118933	+	0.130786i
$801$	−41.6521	−	17.2529i	−1.47170	−	0.609600i
$802$	−8.53692	−	5.70419i	−0.301449	−	0.201422i
$803$	−29.2447			−1.03202
$804$	−7.90995	−	5.28526i	−0.278962	−	0.186397i
$805$	6.02204	−	4.23375i	0.212249	−	0.149220i
$806$	13.6966	+	20.4984i	0.482441	+	0.722024i
$807$	−4.95737	+	11.9681i	−0.174508	+	0.421299i
$808$	−4.90129	+	11.8328i	−0.172427	+	0.416275i
$809$	−2.83469	−	4.24242i	−0.0996626	−	0.149156i	0.778287	−	0.627909i	$-0.216089\pi$
$809$	−2.83469	−	4.24242i	−0.0996626	−	0.149156i	−0.877950	+	0.478753i	$0.841089\pi$
$810$	3.08717	−	17.7048i	0.108472	−	0.622083i
$811$	−17.3551	−	11.5963i	−0.609421	−	0.407202i	0.212208	−	0.977224i	$-0.431934\pi$
$811$	−17.3551	−	11.5963i	−0.609421	−	0.407202i	−0.821629	+	0.570022i	$0.806934\pi$
$812$	14.8363			0.520651
$813$	−8.12493	−	5.42890i	−0.284954	−	0.190400i
$814$	20.0315	+	8.29733i	0.702105	+	0.290821i
$815$	−29.5086	+	0.699958i	−1.03364	+	0.0245185i
$816$	2.41701	+	12.0548i	0.0846123	+	0.422001i
$817$	−8.58292	−	8.58292i	−0.300278	−	0.300278i
$818$	17.4354	−	7.22198i	0.609615	−	0.252511i
$819$	−12.6539	−	63.6154i	−0.442163	−	2.22290i
$820$	−0.192541	−	8.11709i	−0.00672383	−	0.283461i
$821$	−12.5463	+	18.7769i	−0.437870	+	0.655318i	−0.983121	−	0.182954i	$-0.941434\pi$
$821$	−12.5463	+	18.7769i	−0.437870	+	0.655318i	0.545252	+	0.838272i	$0.316434\pi$
$822$	5.46638	+	8.18101i	0.190662	+	0.285346i
$823$	−27.6981	−	5.50950i	−0.965496	−	0.192049i	−0.312926	−	0.949777i	$-0.601309\pi$
$823$	−27.6981	−	5.50950i	−0.965496	−	0.192049i	−0.652570	+	0.757728i	$0.726309\pi$
$824$	11.3530	−	4.70255i	0.395499	−	0.163821i
$825$	−41.7918	−	15.0314i	−1.45500	−	0.523328i
$826$	7.11721	−	4.75557i	0.247639	−	0.165467i
$827$	−19.7455	+	13.1935i	−0.686617	+	0.458783i	−0.849310	−	0.527894i	$-0.822982\pi$
$827$	−19.7455	+	13.1935i	−0.686617	+	0.458783i	0.162693	+	0.986677i	$0.447982\pi$
$828$	8.81754	−	1.75392i	0.306431	−	0.0609528i
$829$	29.1861	+	29.1861i	1.01367	+	1.01367i	0.999905	+	0.0137698i	$0.00438320\pi$
$829$	29.1861	+	29.1861i	1.01367	+	1.01367i	0.0137698	+	0.999905i	$0.495617\pi$
$830$	18.4563	+	11.7087i	0.640628	+	0.406416i
$831$	19.5644	−	47.2327i	0.678683	−	1.63848i
$832$	−3.60818	+	3.60818i	−0.125091	+	0.125091i
$833$	3.71429	+	8.92846i	0.128693	+	0.309353i
$834$			39.6537i			1.37309i
$835$	−36.8423	−	14.2467i	−1.27498	−	0.493027i
$836$	−18.8805	+	3.75557i	−0.652996	+	0.129889i
$837$		−	41.6601i		−	1.43998i
$838$	−0.433238	−	2.17804i	−0.0149660	−	0.0752390i
$839$	2.28546	−	11.4898i	0.0789027	−	0.396671i	−0.921071	−	0.389395i	$-0.872684\pi$
$839$	2.28546	−	11.4898i	0.0789027	−	0.396671i	0.999974	−	0.00727558i	$-0.00231591\pi$
$840$	11.7681	−	8.27347i	0.406038	−	0.285462i
$841$	−6.99907	−	16.8972i	−0.241347	−	0.582664i
$842$	−25.5242	−	10.5724i	−0.879620	−	0.364351i
$843$	−16.6260	+	83.5845i	−0.572630	+	2.87880i
$844$	26.1283	+	5.19724i	0.899373	+	0.178896i
$845$	−6.36406	−	28.4506i	−0.218930	−	0.978730i
$846$	−19.3749	+	19.3749i	−0.666122	+	0.666122i
$847$	2.54896	−	3.81479i	0.0875834	−	0.131078i
$848$	−1.11881	−	2.70105i	−0.0384201	−	0.0927544i
$849$	−8.99114			−0.308575
$850$	−1.00895	−	20.5908i	−0.0346068	−	0.706259i
$851$	11.1067			0.380732
$852$	−6.55631	−	15.8283i	−0.224616	−	0.542270i
$853$	−4.75156	+	7.11121i	−0.162690	+	0.243483i	−0.903854	−	0.427841i	$-0.859274\pi$
$853$	−4.75156	+	7.11121i	−0.162690	+	0.243483i	0.741164	+	0.671324i	$0.234274\pi$
$854$	−6.33539	+	6.33539i	−0.216792	+	0.216792i
$855$	18.5850	+	83.0845i	0.635594	+	2.84143i
$856$	−2.44404	−	0.486150i	−0.0835355	−	0.0166162i
$857$	7.56525	−	38.0331i	0.258424	−	1.29919i	−0.605614	−	0.795759i	$-0.707072\pi$
$857$	7.56525	−	38.0331i	0.258424	−	1.29919i	0.864038	−	0.503427i	$-0.167928\pi$
$858$	−41.8752	−	17.3453i	−1.42960	−	0.592158i
$859$	−3.49731	−	8.44324i	−0.119327	−	0.288080i	0.852919	−	0.522044i	$-0.174830\pi$
$859$	−3.49731	−	8.44324i	−0.119327	−	0.288080i	−0.972245	+	0.233964i	$0.924830\pi$
$860$	3.43579	−	2.41550i	0.117159	−	0.0823680i
$861$	−4.55731	+	22.9112i	−0.155313	+	0.780810i
$862$	5.24817	+	26.3843i	0.178753	+	0.898654i
$863$			40.0088i			1.36191i	0.732323	+	0.680957i	$0.238436\pi$
$863$			40.0088i			1.36191i	−0.732323	+	0.680957i	$0.761564\pi$
$864$	8.45716	−	1.68223i	0.287719	−	0.0572308i
$865$	20.5563	+	7.94898i	0.698935	+	0.270274i
$866$		−	6.95003i		−	0.236172i
$867$	−42.2350	−	28.0341i	−1.43438	−	0.952088i
$868$	7.37050	−	7.37050i	0.250171	−	0.250171i
$869$	17.5977	−	42.4846i	0.596962	−	1.44119i
$870$	−38.7181	−	24.5629i	−1.31267	−	0.832759i
$871$	11.5112	+	11.5112i	0.390044	+	0.390044i
$872$	17.9173	−	3.56398i	0.606758	−	0.120692i
$873$	−13.1508	+	8.78710i	−0.445088	+	0.297398i
$874$	−8.19919	+	5.47853i	−0.277342	+	0.185314i
$875$	−21.5724	+	10.7916i	−0.729281	+	0.364822i
$876$	−27.0465	+	11.2030i	−0.913816	+	0.378515i
$877$	2.18491	+	0.434606i	0.0737792	+	0.0146756i	0.231842	−	0.972753i	$-0.425525\pi$
$877$	2.18491	+	0.434606i	0.0737792	+	0.0146756i	−0.158063	+	0.987429i	$0.550525\pi$
$878$	−6.78147	−	10.1492i	−0.228864	−	0.342519i
$879$	−13.1021	+	19.6087i	−0.441923	+	0.661385i
$880$	−0.157954	−	6.65899i	−0.00532464	−	0.224474i
$881$	−6.84061	−	34.3901i	−0.230466	−	1.15863i	−0.906645	−	0.421894i	$-0.861365\pi$
$881$	−6.84061	−	34.3901i	−0.230466	−	1.15863i	0.676179	−	0.736737i	$-0.263635\pi$
$882$	12.7665	−	5.28804i	0.429869	−	0.178058i
$883$	8.59552	+	8.59552i	0.289262	+	0.289262i	0.836788	−	0.547526i	$-0.184430\pi$
$883$	8.59552	+	8.59552i	0.289262	+	0.289262i	−0.547526	+	0.836788i	$0.684430\pi$
$884$	−0.0321684	−	21.0391i	−0.00108194	−	0.707621i
$885$	−26.4470	+	0.627336i	−0.889007	+	0.0210877i
$886$	23.9375	+	9.91525i	0.804197	+	0.333109i
$887$	−4.63920	−	3.09981i	−0.155769	−	0.104082i	0.475243	−	0.879855i	$-0.342360\pi$
$887$	−4.63920	−	3.09981i	−0.155769	−	0.104082i	−0.631012	+	0.775773i	$0.717360\pi$
$888$	21.7043			0.728350
$889$	4.00025	+	2.67288i	0.134164	+	0.0896456i
$890$	−2.93920	+	16.8562i	−0.0985223	+	0.565021i
$891$	13.3013	+	19.9068i	0.445610	+	0.666903i
$892$	3.78056	−	9.12708i	0.126583	−	0.305597i
$893$	11.5013	−	27.7665i	0.384875	−	0.929170i
$894$	−13.5475	−	20.2752i	−0.453095	−	0.678105i
$895$	3.99720	−	2.81020i	0.133612	−	0.0939345i
$896$	1.79386	+	1.19862i	0.0599287	+	0.0400431i
$897$	−23.2181			−0.775230
$898$	31.2145	+	20.8568i	1.04164	+	0.696002i
$899$	−30.6950	−	12.7143i	−1.02373	−	0.424045i
$900$	−29.4255	+	1.39676i	−0.980851	+	0.0465587i
$901$	11.1437	+	4.59594i	0.371252	+	0.153113i
$902$	7.64836	+	7.64836i	0.254662	+	0.254662i
$903$	−11.1637	+	4.62414i	−0.371503	+	0.153882i
$904$	2.45178	+	12.3259i	0.0815448	+	0.409954i
$905$	27.2978	−	0.647517i	0.907411	−	0.0215242i
$906$	−14.3554	+	21.4844i	−0.476928	+	0.713773i
$907$	0.364114	+	0.544935i	0.0120902	+	0.0180943i	0.837465	−	0.546490i	$-0.184036\pi$
$907$	0.364114	+	0.544935i	0.0120902	+	0.0180943i	−0.825375	+	0.564584i	$0.809036\pi$
$908$	8.11835	+	1.61484i	0.269417	+	0.0535904i
$909$	−69.7155	+	28.8771i	−2.31232	+	0.957793i
$910$	−22.5131	+	9.95709i	−0.746302	+	0.330074i
$911$	−0.784565	+	0.524230i	−0.0259938	+	0.0173685i	−0.568499	−	0.822684i	$-0.692476\pi$
$911$	−0.784565	+	0.524230i	−0.0259938	+	0.0173685i	0.542505	+	0.840052i	$0.317476\pi$
$912$	−16.0226	+	10.7060i	−0.530562	+	0.354510i
$913$	−28.5579	+	5.68051i	−0.945127	+	0.187998i
$914$	12.7246	+	12.7246i	0.420891	+	0.420891i
$915$	27.0223	−	6.04456i	0.893328	−	0.199827i
$916$	8.77812	−	21.1923i	0.290037	−	0.700212i
$917$	19.2525	−	19.2525i	0.635773	−	0.635773i
$918$	−19.7069	+	29.5913i	−0.650425	+	0.976660i
$919$		−	7.40165i		−	0.244158i	−0.992520	−	0.122079i	$-0.961044\pi$
$919$		−	7.40165i		−	0.244158i	0.992520	−	0.122079i	$-0.0389561\pi$
$920$	−1.38012	−	3.12047i	−0.0455013	−	0.102879i
$921$	44.7210	−	8.89556i	1.47361	−	0.293119i
$922$			23.9859i			0.789933i
$923$	5.71960	+	28.7544i	0.188263	+	0.946462i
$924$	−3.73867	+	18.7955i	−0.122993	+	0.618328i
$925$	−35.9907	−	5.39961i	−1.18337	−	0.177538i
$926$	−13.5396	−	32.6876i	−0.444940	−	1.07418i
$927$	66.8885	+	27.7061i	2.19691	+	0.909989i
$928$	1.34158	−	6.74460i	0.0440397	−	0.221402i
$929$	−45.9163	−	9.13333i	−1.50647	−	0.299655i	−0.628285	−	0.777983i	$-0.716243\pi$
$929$	−45.9163	−	9.13333i	−1.50647	−	0.299655i	−0.878181	+	0.478328i	$0.841243\pi$
$930$	−31.4373	+	7.03216i	−1.03087	+	0.230594i
$931$	−10.7174	+	10.7174i	−0.351250	+	0.351250i
$932$	15.4019	−	23.0506i	0.504506	−	0.755047i
$933$	0.737517	+	1.78052i	0.0241452	+	0.0582917i
$934$	−22.4584			−0.734861
$935$	19.9036	+	18.9232i	0.650917	+	0.618855i
$936$	−30.0639			−0.982671
$937$	−8.47343	−	20.4567i	−0.276815	−	0.668291i	0.722929	−	0.690923i	$-0.242795\pi$
$937$	−8.47343	−	20.4567i	−0.276815	−	0.668291i	−0.999744	+	0.0226319i	$0.992795\pi$
$938$	3.82398	−	5.72299i	0.124857	−	0.186862i
$939$	6.97700	−	6.97700i	0.227686	−	0.227686i
$940$	8.78112	+	5.57077i	0.286409	+	0.181698i
$941$	16.4307	+	3.26827i	0.535626	+	0.106543i	0.455489	−	0.890241i	$-0.349464\pi$
$941$	16.4307	+	3.26827i	0.535626	+	0.106543i	0.0801364	+	0.996784i	$0.474464\pi$
$942$	3.56257	−	17.9102i	0.116075	−	0.583547i
$943$	5.11898	+	2.12035i	0.166697	+	0.0690481i
$944$	−1.51831	−	3.66553i	−0.0494168	−	0.119303i
$945$	40.9802	+	7.14569i	1.33309	+	0.232449i
$946$	−1.09153	+	5.48751i	−0.0354888	+	0.178414i
$947$	8.23868	+	41.4186i	0.267721	+	1.34592i	0.847346	+	0.531041i	$0.178199\pi$
$947$	8.23868	+	41.4186i	0.267721	+	1.34592i	−0.579625	+	0.814883i	$0.696801\pi$
$948$		−	46.0325i		−	1.49507i
$949$	49.1337	−	9.77330i	1.59495	−	0.317255i
$950$	29.2326	−	13.7668i	0.948429	−	0.446654i
$951$			42.2819i			1.37109i
$952$	−8.72184	+	1.74875i	−0.282676	+	0.0566773i
$953$	24.8733	−	24.8733i	0.805725	−	0.805725i	−0.178259	−	0.983984i	$-0.557046\pi$
$953$	24.8733	−	24.8733i	0.805725	−	0.805725i	0.983984	+	0.178259i	$0.0570464\pi$
$954$	6.59173	−	15.9138i	0.213415	−	0.515230i
$955$	5.29099	−	8.34011i	0.171213	−	0.269880i
$956$	−15.4390	−	15.4390i	−0.499332	−	0.499332i
$957$	59.9094	−	11.9167i	1.93659	−	0.385213i
$958$	−16.0214	+	10.7052i	−0.517628	+	0.345868i
$959$	−5.91911	+	3.95502i	−0.191138	+	0.127714i
$960$	−2.69699	−	6.09794i	−0.0870451	−	0.196810i
$961$	7.07502	−	2.93057i	0.228226	−	0.0945345i
$962$	−36.4276	−	7.24590i	−1.17447	−	0.233617i
$963$	−8.15673	−	12.2074i	−0.262847	−	0.393378i
$964$	6.19568	−	9.27249i	0.199549	−	0.298647i
$965$	38.2682	+	36.4948i	1.23190	+	1.17481i
$966$	1.91515	+	9.62809i	0.0616188	+	0.309779i
$967$	−43.3226	+	17.9448i	−1.39316	+	0.577066i	−0.947967	−	0.318369i	$-0.896865\pi$
$967$	−43.3226	+	17.9448i	−1.39316	+	0.577066i	−0.445193	+	0.895435i	$0.646865\pi$
$968$	−1.50372	−	1.50372i	−0.0483314	−	0.0483314i
$969$	15.3814	−	77.9502i	0.494122	−	2.50412i
$970$	4.34403	+	4.14272i	0.139478	+	0.133015i
$971$	4.40078	+	1.82286i	0.141228	+	0.0584985i	0.452178	−	0.891928i	$-0.350647\pi$
$971$	4.40078	+	1.82286i	0.141228	+	0.0584985i	−0.310950	+	0.950426i	$0.600647\pi$
$972$	−1.58158	−	1.05678i	−0.0507294	−	0.0338963i
$973$	−28.6901			−0.919764
$974$	−25.8876	−	17.2975i	−0.829492	−	0.554249i
$975$	75.2372	+	11.2877i	2.40952	+	0.361496i
$976$	2.30720	+	3.45296i	0.0738516	+	0.110527i
$977$	1.06842	−	2.57938i	0.0341816	−	0.0825218i	−0.905867	−	0.423562i	$-0.860779\pi$
$977$	1.06842	−	2.57938i	0.0341816	−	0.0825218i	0.940049	+	0.341041i	$0.110779\pi$
$978$	15.0633	−	36.3659i	0.481670	−	1.16285i
$979$	−12.6638	−	18.9527i	−0.404736	−	0.605730i
$980$	−3.01623	−	4.29025i	−0.0963499	−	0.137047i
$981$	89.4929	+	59.7973i	2.85729	+	1.90918i
$982$	−31.6963			−1.01147
$983$	−11.0450	−	7.38005i	−0.352281	−	0.235387i	0.366820	−	0.930292i	$-0.380446\pi$
$983$	−11.0450	−	7.38005i	−0.352281	−	0.235387i	−0.719102	+	0.694905i	$0.755446\pi$
$984$	10.0034	+	4.14353i	0.318896	+	0.132091i
$985$	−0.0817189	−	3.44508i	−0.00260378	−	0.109769i
$986$	15.7884	+	23.5510i	0.502805	+	0.750015i
$987$	−21.1559	−	21.1559i	−0.673400	−	0.673400i
$988$	30.4658	−	12.6193i	0.969246	−	0.401475i
$989$	0.559142	+	2.81100i	0.0177797	+	0.0893845i
$990$	27.0838	−	28.3999i	0.860781	−	0.902610i
$991$	7.46029	−	11.1651i	0.236984	−	0.354671i	−0.693847	−	0.720123i	$-0.744085\pi$
$991$	7.46029	−	11.1651i	0.236984	−	0.354671i	0.930830	+	0.365451i	$0.119085\pi$
$992$	−2.68416	−	4.01713i	−0.0852222	−	0.127544i
$993$	−83.0174	−	16.5132i	−2.63448	−	0.524030i
$994$	11.4521	−	4.74361i	0.363238	−	0.150458i
$995$	10.2323	+	3.95677i	0.324386	+	0.125438i
$996$	−24.2352	+	16.1934i	−0.767920	+	0.513108i
$997$	4.66783	−	3.11894i	0.147832	−	0.0987780i	−0.479455	−	0.877567i	$-0.659166\pi$
$997$	4.66783	−	3.11894i	0.147832	−	0.0987780i	0.627286	+	0.778789i	$0.284166\pi$
$998$	25.5353	−	5.07928i	0.808305	−	0.160782i
$999$	44.3802	+	44.3802i	1.40413	+	1.40413i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	170.2.o.b.57.1	yes	40
5.2	odd	4		850.2.v.d.193.5		40
5.3	odd	4		170.2.r.b.23.1	yes	40
5.4	even	2		850.2.s.d.57.5		40
17.3	odd	16		170.2.r.b.37.1	yes	40
85.3	even	16	inner	170.2.o.b.3.1	✓	40
85.37	even	16		850.2.s.d.343.5		40
85.54	odd	16		850.2.v.d.207.5		40

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
170.2.o.b.3.1	✓	40	85.3	even	16	inner
170.2.o.b.57.1	yes	40	1.1	even	1	trivial
170.2.r.b.23.1	yes	40	5.3	odd	4
170.2.r.b.37.1	yes	40	17.3	odd	16
850.2.s.d.57.5		40	5.4	even	2
850.2.s.d.343.5		40	85.37	even	16
850.2.v.d.193.5		40	5.2	odd	4
850.2.v.d.207.5		40	85.54	odd	16

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:	\( N \)	\(=\)	\( 170 = 2 \cdot 5 \cdot 17 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	170.o (of order \(16\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.382683 + 0.923880i) q^{2} +(-1.65666 + 2.47936i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(0.488119 + 2.18214i) q^{5} +(-2.92460 - 0.581740i) q^{6} +(0.420899 - 2.11600i) q^{7} +(-0.923880 - 0.382683i) q^{8} +(-2.25467 - 5.44325i) q^{9} +O(q^{10})\)	\(q+(0.382683 + 0.923880i) q^{2} +(-1.65666 + 2.47936i) q^{3} +(-0.707107 + 0.707107i) q^{4} +(0.488119 + 2.18214i) q^{5} +(-2.92460 - 0.581740i) q^{6} +(0.420899 - 2.11600i) q^{7} +(-0.923880 - 0.382683i) q^{8} +(-2.25467 - 5.44325i) q^{9} +(-1.82924 + 1.28603i) q^{10} +(0.581141 - 2.92159i) q^{11} +(-0.581740 - 2.92460i) q^{12} +5.10274i q^{13} +(2.11600 - 0.420899i) q^{14} +(-6.21896 - 2.40483i) q^{15} -1.00000i q^{16} +(2.91993 + 2.91101i) q^{17} +(4.16608 - 4.16608i) q^{18} +(-2.47306 + 5.97048i) q^{19} +(-1.88816 - 1.19785i) q^{20} +(4.54905 + 4.54905i) q^{21} +(2.92159 - 0.581141i) q^{22} +(1.26875 - 0.847753i) q^{23} +(2.47936 - 1.65666i) q^{24} +(-4.52348 + 2.13029i) q^{25} +(-4.71431 + 1.95273i) q^{26} +(8.45716 + 1.68223i) q^{27} +(1.19862 + 1.79386i) q^{28} +(3.82051 - 5.71779i) q^{29} +(-0.158117 - 6.66586i) q^{30} +(-0.942552 - 4.73853i) q^{31} +(0.923880 - 0.382683i) q^{32} +(6.28093 + 6.28093i) q^{33} +(-1.57202 + 3.81166i) q^{34} +(4.82287 - 0.114401i) q^{35} +(5.44325 + 2.25467i) q^{36} +(6.05201 + 4.04382i) q^{37} -6.46241 q^{38} +(-12.6515 - 8.45347i) q^{39} +(0.384106 - 2.20283i) q^{40} +(2.01733 + 3.01915i) q^{41} +(-2.46193 + 5.94362i) q^{42} +(-0.718779 + 1.73529i) q^{43} +(1.65495 + 2.47681i) q^{44} +(10.7774 - 7.57696i) q^{45} +(1.26875 + 0.847753i) q^{46} -4.65062 q^{47} +(2.47936 + 1.65666i) q^{48} +(2.16684 + 0.897536i) q^{49} +(-3.69919 - 3.36392i) q^{50} +(-12.0548 + 2.41701i) q^{51} +(-3.60818 - 3.60818i) q^{52} +(2.70105 - 1.11881i) q^{53} +(1.68223 + 8.45716i) q^{54} +(6.65899 - 0.157954i) q^{55} +(-1.19862 + 1.79386i) q^{56} +(-10.7060 - 16.0226i) q^{57} +(6.74460 + 1.34158i) q^{58} +(3.66553 - 1.51831i) q^{59} +(6.09794 - 2.69699i) q^{60} +(-3.45296 + 2.30720i) q^{61} +(4.01713 - 2.68416i) q^{62} +(-12.4669 + 2.47982i) q^{63} +(0.707107 + 0.707107i) q^{64} +(-11.1349 + 2.49074i) q^{65} +(-3.39921 + 8.20642i) q^{66} +(2.25590 - 2.25590i) q^{67} +(-4.12310 + 0.00630415i) q^{68} +4.55013i q^{69} +(1.95132 + 4.41197i) q^{70} +(5.63509 - 1.12089i) q^{71} +5.89173i q^{72} +(-1.91531 - 9.62889i) q^{73} +(-1.42000 + 7.13883i) q^{74} +(2.21209 - 14.7445i) q^{75} +(-2.47306 - 5.97048i) q^{76} +(-5.93749 - 2.45939i) q^{77} +(2.96847 - 14.9235i) q^{78} +(15.1407 + 3.01167i) q^{79} +(2.18214 - 0.488119i) q^{80} +(-5.68322 + 5.68322i) q^{81} +(-2.01733 + 3.01915i) q^{82} +(-3.74064 - 9.03070i) q^{83} -6.43332 q^{84} +(-4.92697 + 7.79262i) q^{85} -1.87826 q^{86} +(7.84720 + 18.9448i) q^{87} +(-1.65495 + 2.47681i) q^{88} +(5.41083 - 5.41083i) q^{89} +(11.1245 + 7.05743i) q^{90} +(10.7974 + 2.14774i) q^{91} +(-0.297691 + 1.49660i) q^{92} +(13.3100 + 5.51318i) q^{93} +(-1.77972 - 4.29662i) q^{94} +(-14.2356 - 2.48225i) q^{95} +(-0.581740 + 2.92460i) q^{96} +(-0.523720 - 2.63292i) q^{97} +2.34537i q^{98} +(-17.2132 + 3.42392i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 40 q+O(q^{10}) \) 40 * q	\( 40 q + 8 q^{10} - 8 q^{15} - 16 q^{18} - 16 q^{20} - 8 q^{25} - 8 q^{26} + 24 q^{27} + 8 q^{28} - 8 q^{29} - 16 q^{31} + 32 q^{33} - 8 q^{34} - 32 q^{35} + 16 q^{37} + 32 q^{39} + 8 q^{40} - 56 q^{41} - 8 q^{42} - 48 q^{43} - 16 q^{44} - 24 q^{45} - 96 q^{47} - 16 q^{49} - 32 q^{51} - 16 q^{52} - 40 q^{53} + 24 q^{54} + 8 q^{55} - 8 q^{56} - 8 q^{57} + 16 q^{58} + 24 q^{61} - 24 q^{62} - 24 q^{63} + 16 q^{65} - 16 q^{67} + 24 q^{68} + 8 q^{70} + 24 q^{71} + 16 q^{73} - 32 q^{74} + 184 q^{75} + 40 q^{77} + 16 q^{78} + 104 q^{79} + 8 q^{80} + 48 q^{81} + 56 q^{82} + 16 q^{83} - 8 q^{85} + 96 q^{86} - 8 q^{87} + 16 q^{88} + 16 q^{89} + 40 q^{90} + 48 q^{91} + 8 q^{92} + 136 q^{93} + 8 q^{94} + 8 q^{95} + 144 q^{97} - 160 q^{99}+O(q^{100}) \) 40 * q + 8 * q^10 - 8 * q^15 - 16 * q^18 - 16 * q^20 - 8 * q^25 - 8 * q^26 + 24 * q^27 + 8 * q^28 - 8 * q^29 - 16 * q^31 + 32 * q^33 - 8 * q^34 - 32 * q^35 + 16 * q^37 + 32 * q^39 + 8 * q^40 - 56 * q^41 - 8 * q^42 - 48 * q^43 - 16 * q^44 - 24 * q^45 - 96 * q^47 - 16 * q^49 - 32 * q^51 - 16 * q^52 - 40 * q^53 + 24 * q^54 + 8 * q^55 - 8 * q^56 - 8 * q^57 + 16 * q^58 + 24 * q^61 - 24 * q^62 - 24 * q^63 + 16 * q^65 - 16 * q^67 + 24 * q^68 + 8 * q^70 + 24 * q^71 + 16 * q^73 - 32 * q^74 + 184 * q^75 + 40 * q^77 + 16 * q^78 + 104 * q^79 + 8 * q^80 + 48 * q^81 + 56 * q^82 + 16 * q^83 - 8 * q^85 + 96 * q^86 - 8 * q^87 + 16 * q^88 + 16 * q^89 + 40 * q^90 + 48 * q^91 + 8 * q^92 + 136 * q^93 + 8 * q^94 + 8 * q^95 + 144 * q^97 - 160 * q^99

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