LMFDB - Embedded newform 504.2.y.a.173.7

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(173,504)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(504, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([0, 3, 1, 5]))

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

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

chi := DirichletCharacter("504.173");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.y (of order $6$, degree $2$, 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:	$4.02446026187$
Analytic rank:	$0$
Dimension:	$184$
Relative dimension:	$92$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			173.7
Character	$\chi$	$=$	504.173
Dual form			504.2.y.a.437.7

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.39532 + 0.230384i) q^{2} +(-0.267989 + 1.71119i) q^{3} +(1.89385 - 0.642919i) q^{4} -0.170174i q^{5} +(-0.0203002 - 2.44941i) q^{6} +(-1.51202 - 2.17113i) q^{7} +(-2.49441 + 1.33339i) q^{8} +(-2.85636 - 0.917161i) q^{9} +O(q^{10})$	\(q+(-1.39532 + 0.230384i) q^{2} +(-0.267989 + 1.71119i) q^{3} +(1.89385 - 0.642919i) q^{4} -0.170174i q^{5} +(-0.0203002 - 2.44941i) q^{6} +(-1.51202 - 2.17113i) q^{7} +(-2.49441 + 1.33339i) q^{8} +(-2.85636 - 0.917161i) q^{9} +(0.0392054 + 0.237448i) q^{10} +6.38481 q^{11} +(0.592628 + 3.41303i) q^{12} +(0.161377 + 0.279513i) q^{13} +(2.60994 + 2.68108i) q^{14} +(0.291201 + 0.0456048i) q^{15} +(3.17331 - 2.43518i) q^{16} +(2.60594 + 4.51361i) q^{17} +(4.19685 + 0.621676i) q^{18} +(1.69070 - 2.92838i) q^{19} +(-0.109408 - 0.322284i) q^{20} +(4.12043 - 2.00552i) q^{21} +(-8.90886 + 1.47096i) q^{22} +5.94042i q^{23} +(-1.61321 - 4.62575i) q^{24} +4.97104 q^{25} +(-0.289568 - 0.352832i) q^{26} +(2.33491 - 4.64200i) q^{27} +(-4.25939 - 3.13968i) q^{28} +(-0.817275 + 1.41556i) q^{29} +(-0.416826 + 0.00345457i) q^{30} +(-6.37237 - 3.67909i) q^{31} +(-3.86677 + 4.12894i) q^{32} +(-1.71106 + 10.9256i) q^{33} +(-4.67598 - 5.69758i) q^{34} +(-0.369471 + 0.257307i) q^{35} +(-5.99918 + 0.0994466i) q^{36} +(5.87796 + 3.39364i) q^{37} +(-1.68442 + 4.47554i) q^{38} +(-0.521548 + 0.201241i) q^{39} +(0.226909 + 0.424484i) q^{40} +(0.988880 + 1.71279i) q^{41} +(-5.28728 + 3.74762i) q^{42} +(3.60361 + 2.08055i) q^{43} +(12.0919 - 4.10491i) q^{44} +(-0.156077 + 0.486080i) q^{45} +(-1.36858 - 8.28880i) q^{46} +(-1.92782 - 3.33909i) q^{47} +(3.31665 + 6.08275i) q^{48} +(-2.42760 + 6.56557i) q^{49} +(-6.93620 + 1.14525i) q^{50} +(-8.42202 + 3.24966i) q^{51} +(0.485327 + 0.425603i) q^{52} +(3.79272 + 6.56919i) q^{53} +(-2.18852 + 7.01501i) q^{54} -1.08653i q^{55} +(6.66655 + 3.39957i) q^{56} +(4.55793 + 3.67788i) q^{57} +(0.814239 - 2.16345i) q^{58} +(1.18922 + 0.686598i) q^{59} +(0.580811 - 0.100850i) q^{60} +(6.20492 + 10.7472i) q^{61} +(9.73910 + 3.66542i) q^{62} +(2.32760 + 7.58830i) q^{63} +(4.44414 - 6.65204i) q^{64} +(0.0475660 - 0.0274622i) q^{65} +(-0.129613 - 15.6390i) q^{66} +(-0.0872326 - 0.0503638i) q^{67} +(7.83713 + 6.87269i) q^{68} +(-10.1652 - 1.59197i) q^{69} +(0.456251 - 0.444146i) q^{70} -11.6743i q^{71} +(8.34787 - 1.52087i) q^{72} +(2.68065 - 1.54768i) q^{73} +(-8.98349 - 3.38104i) q^{74} +(-1.33218 + 8.50641i) q^{75} +(1.31922 - 6.63288i) q^{76} +(-9.65394 - 13.8622i) q^{77} +(0.681365 - 0.400952i) q^{78} +(1.36199 + 2.35903i) q^{79} +(-0.414405 - 0.540016i) q^{80} +(7.31763 + 5.23949i) q^{81} +(-1.77441 - 2.16207i) q^{82} +(4.26383 + 2.46172i) q^{83} +(6.51407 - 6.44724i) q^{84} +(0.768101 - 0.443464i) q^{85} +(-5.50752 - 2.07282i) q^{86} +(-2.20328 - 1.77787i) q^{87} +(-15.9263 + 8.51344i) q^{88} +(-0.0146457 + 0.0253671i) q^{89} +(0.105793 - 0.714196i) q^{90} +(0.362854 - 0.772999i) q^{91} +(3.81921 + 11.2503i) q^{92} +(8.00335 - 9.91839i) q^{93} +(3.45920 + 4.21496i) q^{94} +(-0.498335 - 0.287714i) q^{95} +(-6.02916 - 7.72329i) q^{96} +(-15.4598 - 8.92574i) q^{97} +(1.87469 - 9.72037i) q^{98} +(-18.2373 - 5.85590i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9}+O(q^{10}) $ 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9	$ 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9} - 6 q^{10} - 3 q^{12} - 3 q^{14} - 2 q^{15} + q^{16} - 15 q^{18} - 6 q^{22} - 12 q^{24} - 156 q^{25} + 6 q^{26} - 8 q^{28} - 14 q^{30} - 6 q^{31} - 33 q^{32} - 6 q^{33} - 6 q^{34} + 22 q^{36} - 66 q^{38} + 10 q^{39} - 15 q^{42} + 9 q^{44} + 2 q^{46} - 6 q^{47} - 9 q^{48} - 2 q^{49} + 9 q^{50} + 24 q^{54} + 60 q^{56} + 4 q^{57} + 6 q^{58} + 34 q^{60} - 12 q^{62} - 30 q^{63} - 8 q^{64} - 6 q^{65} - 21 q^{66} - 36 q^{68} + 30 q^{70} + 9 q^{72} - 12 q^{73} - 12 q^{76} + 19 q^{78} + 2 q^{79} + 57 q^{80} + 6 q^{81} + 9 q^{84} + 12 q^{87} - 18 q^{88} + 24 q^{89} + 75 q^{90} - 36 q^{92} - 3 q^{94} + 54 q^{95} - 54 q^{96} + 45 q^{98}+O(q^{100}) $ 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9 - 6 * q^10 - 3 * q^12 - 3 * q^14 - 2 * q^15 + q^16 - 15 * q^18 - 6 * q^22 - 12 * q^24 - 156 * q^25 + 6 * q^26 - 8 * q^28 - 14 * q^30 - 6 * q^31 - 33 * q^32 - 6 * q^33 - 6 * q^34 + 22 * q^36 - 66 * q^38 + 10 * q^39 - 15 * q^42 + 9 * q^44 + 2 * q^46 - 6 * q^47 - 9 * q^48 - 2 * q^49 + 9 * q^50 + 24 * q^54 + 60 * q^56 + 4 * q^57 + 6 * q^58 + 34 * q^60 - 12 * q^62 - 30 * q^63 - 8 * q^64 - 6 * q^65 - 21 * q^66 - 36 * q^68 + 30 * q^70 + 9 * q^72 - 12 * q^73 - 12 * q^76 + 19 * q^78 + 2 * q^79 + 57 * q^80 + 6 * q^81 + 9 * q^84 + 12 * q^87 - 18 * q^88 + 24 * q^89 + 75 * q^90 - 36 * q^92 - 3 * q^94 + 54 * q^95 - 54 * q^96 + 45 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/504\mathbb{Z}\right)^\times$.

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.39532	+	0.230384i	−0.986642	+	0.162906i
$2$	−1.39532	+	0.230384i	−0.986642	+	0.162906i
$3$	−0.267989	+	1.71119i	−0.154723	+	0.987958i
$3$	−0.267989	+	1.71119i	−0.154723	+	0.987958i
$4$	1.89385	−	0.642919i	0.946923	−	0.321459i
$5$		−	0.170174i		−	0.0761043i	−0.999276	−	0.0380522i	$-0.987885\pi$
$5$		−	0.170174i		−	0.0761043i	0.999276	−	0.0380522i	$-0.0121153\pi$
$6$	−0.0203002	−	2.44941i	−0.00828750	−	0.999966i
$7$	−1.51202	−	2.17113i	−0.571489	−	0.820610i
$7$	−1.51202	−	2.17113i	−0.571489	−	0.820610i
$8$	−2.49441	+	1.33339i	−0.881906	+	0.471424i
$9$	−2.85636	−	0.917161i	−0.952121	−	0.305720i
$10$	0.0392054	+	0.237448i	0.0123978	+	0.0750877i
$11$	6.38481			1.92509			0.962546	−	0.271118i	$-0.0873933\pi$
$11$	6.38481			1.92509			0.962546	+	0.271118i	$0.0873933\pi$
$12$	0.592628	+	3.41303i	0.171077	+	0.985258i
$13$	0.161377	+	0.279513i	0.0447579	+	0.0775230i	0.887536	−	0.460737i	$-0.152415\pi$
$13$	0.161377	+	0.279513i	0.0447579	+	0.0775230i	−0.842779	+	0.538260i	$0.819082\pi$
$14$	2.60994	+	2.68108i	0.697537	+	0.716549i
$15$	0.291201	+	0.0456048i	0.0751879	+	0.0117751i
$16$	3.17331	−	2.43518i	0.793328	−	0.608795i
$17$	2.60594	+	4.51361i	0.632032	+	1.09471i	0.987136	+	0.159885i	$0.0511123\pi$
$17$	2.60594	+	4.51361i	0.632032	+	1.09471i	−0.355103	+	0.934827i	$0.615554\pi$
$18$	4.19685	+	0.621676i	0.989206	+	0.146530i
$19$	1.69070	−	2.92838i	0.387873	−	0.671815i	−0.604290	−	0.796764i	$-0.706543\pi$
$19$	1.69070	−	2.92838i	0.387873	−	0.671815i	0.992163	+	0.124949i	$0.0398766\pi$
$20$	−0.109408	−	0.322284i	−0.0244644	−	0.0720650i
$21$	4.12043	−	2.00552i	0.899151	−	0.437639i
$22$	−8.90886	+	1.47096i	−1.89938	+	0.313609i
$23$			5.94042i			1.23866i	0.785129	+	0.619332i	$0.212597\pi$
$23$			5.94042i			1.23866i	−0.785129	+	0.619332i	$0.787403\pi$
$24$	−1.61321	−	4.62575i	−0.329296	−	0.944227i
$25$	4.97104			0.994208
$26$	−0.289568	−	0.352832i	−0.0567890	−	0.0691961i
$27$	2.33491	−	4.64200i	0.449354	−	0.893354i
$28$	−4.25939	−	3.13968i	−0.804949	−	0.593344i
$29$	−0.817275	+	1.41556i	−0.151764	+	0.262863i	−0.931876	−	0.362777i	$-0.881829\pi$
$29$	−0.817275	+	1.41556i	−0.151764	+	0.262863i	0.780112	+	0.625640i	$0.215162\pi$
$30$	−0.416826	+	0.00345457i	−0.0761017	+	0.000630715i
$31$	−6.37237	−	3.67909i	−1.14451	−	0.660784i	−0.196967	−	0.980410i	$-0.563109\pi$
$31$	−6.37237	−	3.67909i	−1.14451	−	0.660784i	−0.947544	+	0.319627i	$0.896443\pi$
$32$	−3.86677	+	4.12894i	−0.683554	+	0.729900i
$33$	−1.71106	+	10.9256i	−0.297857	+	1.90191i
$34$	−4.67598	−	5.69758i	−0.801924	−	0.977127i
$35$	−0.369471	+	0.257307i	−0.0624519	+	0.0434928i
$36$	−5.99918	+	0.0994466i	−0.999863	+	0.0165744i
$37$	5.87796	+	3.39364i	0.966331	+	0.557911i	0.898116	−	0.439759i	$-0.144936\pi$
$37$	5.87796	+	3.39364i	0.966331	+	0.557911i	0.0682153	+	0.997671i	$0.478270\pi$
$38$	−1.68442	+	4.47554i	−0.273249	+	0.726028i
$39$	−0.521548	+	0.201241i	−0.0835145	+	0.0322243i
$40$	0.226909	+	0.424484i	0.0358774	+	0.0671169i
$41$	0.988880	+	1.71279i	0.154437	+	0.267493i	0.932854	−	0.360255i	$-0.117310\pi$
$41$	0.988880	+	1.71279i	0.154437	+	0.267493i	−0.778417	+	0.627748i	$0.783977\pi$
$42$	−5.28728	+	3.74762i	−0.815845	+	0.578270i
$43$	3.60361	+	2.08055i	0.549546	+	0.317280i	0.748939	−	0.662639i	$-0.230564\pi$
$43$	3.60361	+	2.08055i	0.549546	+	0.317280i	−0.199393	+	0.979920i	$0.563897\pi$
$44$	12.0919	−	4.10491i	1.82291	−	0.618839i
$45$	−0.156077	+	0.486080i	−0.0232666	+	0.0724605i
$46$	−1.36858	−	8.28880i	−0.201786	−	1.22212i
$47$	−1.92782	−	3.33909i	−0.281202	−	0.487056i	0.690479	−	0.723352i	$-0.257400\pi$
$47$	−1.92782	−	3.33909i	−0.281202	−	0.487056i	−0.971681	+	0.236296i	$0.924066\pi$
$48$	3.31665	+	6.08275i	0.478717	+	0.877969i
$49$	−2.42760	+	6.56557i	−0.346801	+	0.937939i
$50$	−6.93620	+	1.14525i	−0.980927	+	0.161962i
$51$	−8.42202	+	3.24966i	−1.17932	+	0.455044i
$52$	0.485327	+	0.425603i	0.0673028	+	0.0590205i
$53$	3.79272	+	6.56919i	0.520970	+	0.902347i	0.999703	+	0.0243861i	$0.00776311\pi$
$53$	3.79272	+	6.56919i	0.520970	+	0.902347i	−0.478732	+	0.877961i	$0.658904\pi$
$54$	−2.18852	+	7.01501i	−0.297819	+	0.954622i
$55$		−	1.08653i		−	0.146508i
$56$	6.66655	+	3.39957i	0.890855	+	0.454287i
$57$	4.55793	+	3.67788i	0.603712	+	0.487148i
$58$	0.814239	−	2.16345i	0.106915	−	0.284075i
$59$	1.18922	+	0.686598i	0.154824	+	0.0893874i	0.575410	−	0.817865i	$-0.304842\pi$
$59$	1.18922	+	0.686598i	0.154824	+	0.0893874i	−0.420587	+	0.907252i	$0.638176\pi$
$60$	0.580811	−	0.100850i	0.0749824	−	0.0130197i
$61$	6.20492	+	10.7472i	0.794458	+	1.37604i	0.923183	+	0.384361i	$0.125578\pi$
$61$	6.20492	+	10.7472i	0.794458	+	1.37604i	−0.128725	+	0.991680i	$0.541088\pi$
$62$	9.73910	+	3.66542i	1.23687	+	0.465509i
$63$	2.32760	+	7.58830i	0.293250	+	0.956036i
$64$	4.44414	−	6.65204i	0.555518	−	0.831505i
$65$	0.0475660	−	0.0274622i	0.00589983	−	0.00340627i
$66$	−0.129613	−	15.6390i	−0.0159542	−	1.92503i
$67$	−0.0872326	−	0.0503638i	−0.0106572	−	0.00615291i	0.494662	−	0.869085i	$-0.335292\pi$
$67$	−0.0872326	−	0.0503638i	−0.0106572	−	0.00615291i	−0.505319	+	0.862933i	$0.668625\pi$
$68$	7.83713	+	6.87269i	0.950391	+	0.833436i
$69$	−10.1652	−	1.59197i	−1.22375	−	0.191650i
$70$	0.456251	−	0.444146i	0.0545325	−	0.0530856i
$71$		−	11.6743i		−	1.38548i	−0.721186	−	0.692741i	$-0.756403\pi$
$71$		−	11.6743i		−	1.38548i	0.721186	−	0.692741i	$-0.243597\pi$
$72$	8.34787	−	1.52087i	0.983806	−	0.179236i
$73$	2.68065	−	1.54768i	0.313747	−	0.181142i	−0.334855	−	0.942270i	$-0.608687\pi$
$73$	2.68065	−	1.54768i	0.313747	−	0.181142i	0.648602	+	0.761128i	$0.275354\pi$
$74$	−8.98349	−	3.38104i	−1.04431	−	0.393038i
$75$	−1.33218	+	8.50641i	−0.153827	+	0.982236i
$76$	1.31922	−	6.63288i	0.151325	−	0.760843i
$77$	−9.65394	−	13.8622i	−1.10017	−	1.57975i
$78$	0.681365	−	0.400952i	0.0771494	−	0.0453988i
$79$	1.36199	+	2.35903i	0.153235	+	0.265411i	0.932415	−	0.361389i	$-0.117697\pi$
$79$	1.36199	+	2.35903i	0.153235	+	0.265411i	−0.779180	+	0.626801i	$0.784364\pi$
$80$	−0.414405	−	0.540016i	−0.0463319	−	0.0603757i
$81$	7.31763	+	5.23949i	0.813070	+	0.582166i
$82$	−1.77441	−	2.16207i	−0.195950	−	0.238761i
$83$	4.26383	+	2.46172i	0.468016	+	0.270209i	0.715409	−	0.698706i	$-0.246240\pi$
$83$	4.26383	+	2.46172i	0.468016	+	0.270209i	−0.247393	+	0.968915i	$0.579574\pi$
$84$	6.51407	−	6.44724i	0.710743	−	0.703451i
$85$	0.768101	−	0.443464i	0.0833123	−	0.0481004i
$86$	−5.50752	−	2.07282i	−0.593891	−	0.223518i
$87$	−2.20328	−	1.77787i	−0.236216	−	0.190608i
$88$	−15.9263	+	8.51344i	−1.69775	+	0.907536i
$89$	−0.0146457	+	0.0253671i	−0.00155244	+	0.00268891i	−0.866801	−	0.498655i	$-0.833827\pi$
$89$	−0.0146457	+	0.0253671i	−0.00155244	+	0.00268891i	0.865248	+	0.501344i	$0.167161\pi$
$90$	0.105793	−	0.714196i	0.0111516	−	0.0752829i
$91$	0.362854	−	0.772999i	0.0380375	−	0.0810323i
$92$	3.81921	+	11.2503i	0.398180	+	1.17292i
$93$	8.00335	−	9.91839i	0.829909	−	1.02849i
$94$	3.45920	+	4.21496i	0.356790	+	0.434740i
$95$	−0.498335	−	0.287714i	−0.0511281	−	0.0295188i
$96$	−6.02916	−	7.72329i	−0.615349	−	0.788255i
$97$	−15.4598	−	8.92574i	−1.56971	−	0.906272i	−0.996202	−	0.0870706i	$-0.972249\pi$
$97$	−15.4598	−	8.92574i	−1.56971	−	0.906272i	−0.573506	−	0.819201i	$-0.694417\pi$
$98$	1.87469	−	9.72037i	0.189372	−	0.981905i
$99$	−18.2373	−	5.85590i	−1.83292	−	0.588540i
$100$	9.41439	−	3.19597i	0.941439	−	0.319597i
$101$		−	12.8803i		−	1.28164i	−0.767692	−	0.640819i	$-0.778595\pi$
$101$		−	12.8803i		−	1.28164i	0.767692	−	0.640819i	$-0.221405\pi$
$102$	11.0028	−	6.47462i	1.08944	−	0.641083i
$103$		−	9.34944i		−	0.921228i	−0.887601	−	0.460614i	$-0.847629\pi$
$103$		−	9.34944i		−	0.921228i	0.887601	−	0.460614i	$-0.152371\pi$
$104$	−0.775240	−	0.482041i	−0.0760185	−	0.0472680i
$105$	−0.341288	−	0.701191i	−0.0333063	−	0.0684292i
$106$	−6.80550	−	8.29235i	−0.661009	−	0.805424i
$107$	1.68110	−	2.91175i	0.162518	−	0.281490i	−0.773253	−	0.634098i	$-0.781372\pi$
$107$	1.68110	−	2.91175i	0.162518	−	0.281490i	0.935771	+	0.352608i	$0.114705\pi$
$108$	1.43754	−	10.2924i	0.138327	−	0.990387i
$109$	1.45858	−	0.842113i	0.139707	−	0.0806598i	−0.428517	−	0.903534i	$-0.640964\pi$
$109$	1.45858	−	0.842113i	0.139707	−	0.0806598i	0.568224	+	0.822874i	$0.307631\pi$
$110$	0.250319	+	1.51606i	0.0238670	+	0.144551i
$111$	−7.38241	+	9.14887i	−0.700707	+	0.868372i
$112$	−10.0852	−	3.20763i	−0.952961	−	0.303093i
$113$	−12.6900	+	7.32659i	−1.19378	+	0.689227i	−0.959161	−	0.282861i	$-0.908717\pi$
$113$	−12.6900	+	7.32659i	−1.19378	+	0.689227i	−0.234616	+	0.972088i	$0.575383\pi$
$114$	−7.20710	−	4.08176i	−0.675007	−	0.382292i
$115$	1.01091			0.0942677
$116$	−0.637702	+	3.20630i	−0.0592092	+	0.297697i
$117$	−0.204593	−	0.946400i	−0.0189146	−	0.0874947i
$118$	−1.81753	−	0.684048i	−0.167317	−	0.0629717i
$119$	5.85942	−	12.4825i	0.537132	−	1.14427i
$120$	−0.787184	+	0.274528i	−0.0718597	+	0.0250608i
$121$	29.7658			2.70598
$122$	−11.1338	−	13.5663i	−1.00801	−	1.22824i
$123$	−3.19593	+	1.23316i	−0.288167	+	0.111190i
$124$	−14.4336	−	2.87071i	−1.29618	−	0.257798i
$125$		−	1.69682i		−	0.151768i
$126$	−4.99597	−	10.0519i	−0.445076	−	0.895493i
$127$	15.3235			1.35974			0.679871	−	0.733332i	$-0.262036\pi$
$127$	15.3235			1.35974			0.679871	+	0.733332i	$0.262036\pi$
$128$	−4.66849	+	10.3056i	−0.412640	+	0.910894i
$129$	−4.52594	+	5.60891i	−0.398487	+	0.493837i
$130$	−0.0600430	+	0.0492771i	−0.00526612	+	0.00432189i
$131$			11.1018i			0.969969i	0.874523	+	0.484984i	$0.161175\pi$
$131$			11.1018i			0.969969i	−0.874523	+	0.484984i	$0.838825\pi$
$132$	3.78382	+	21.7916i	0.329339	+	1.89671i
$133$	−8.91425	+	0.757031i	−0.772963	+	0.0656429i
$134$	0.133321	+	0.0501767i	0.0115171	+	0.00433461i
$135$	−0.789950	−	0.397343i	−0.0679881	−	0.0341978i
$136$	−12.5187	−	7.78406i	−1.07347	−	0.667478i
$137$			9.46331i			0.808505i	0.914647	+	0.404253i	$0.132468\pi$
$137$			9.46331i			0.808505i	−0.914647	+	0.404253i	$0.867532\pi$
$138$	14.5505	−	0.120592i	1.23862	−	0.0102654i
$139$	−5.97637	−	10.3514i	−0.506909	−	0.877992i	−0.999968	−	0.00799632i	$-0.997455\pi$
$139$	−5.97637	−	10.3514i	−0.506909	−	0.877992i	0.493059	−	0.869996i	$-0.335879\pi$
$140$	−0.534294	+	0.724839i	−0.0451560	+	0.0612601i
$141$	6.23046	−	2.40404i	0.524699	−	0.202457i
$142$	2.68956	+	16.2894i	0.225703	+	1.36697i
$143$	1.03036	+	1.78464i	0.0861631	+	0.149239i
$144$	−11.2976	+	4.04532i	−0.941465	+	0.337110i
$145$	0.240892	+	0.139079i	0.0200050	+	0.0115499i
$146$	−3.38381	+	2.77708i	−0.280046	+	0.229833i
$147$	−10.5844	−	5.91360i	−0.872986	−	0.487746i
$148$	13.3138	+	2.64799i	1.09439	+	0.217663i
$149$	1.16358			0.0953242			0.0476621	−	0.998864i	$-0.484823\pi$
$149$	1.16358			0.0953242			0.0476621	+	0.998864i	$0.484823\pi$
$150$	−0.100913	−	12.1761i	−0.00823950	−	0.994174i
$151$	7.20667			0.586470			0.293235	−	0.956040i	$-0.405268\pi$
$151$	7.20667			0.586470			0.293235	+	0.956040i	$0.405268\pi$
$152$	−0.312626	+	9.55892i	−0.0253573	+	0.775331i
$153$	−3.30379	−	15.2826i	−0.267096	−	1.23552i
$154$	16.6640	+	17.1182i	1.34282	+	1.37942i
$155$	−0.626087	+	1.08441i	−0.0502885	+	0.0871022i
$156$	−0.858351	+	0.716432i	−0.0687231	+	0.0573605i
$157$	−5.87158	+	10.1699i	−0.468603	+	0.811645i	−0.999356	−	0.0358818i	$-0.988576\pi$
$157$	−5.87158	+	10.1699i	−0.468603	+	0.811645i	0.530753	+	0.847527i	$0.321909\pi$
$158$	−2.44389	−	2.97783i	−0.194425	−	0.236903i
$159$	−12.2576	+	4.72961i	−0.972087	+	0.375082i
$160$	0.702640	+	0.658025i	0.0555485	+	0.0520214i
$161$	12.8974	−	8.98203i	1.01646	−	0.707883i
$162$	−11.4175	−	5.62492i	−0.897047	−	0.441935i
$163$	−10.7095	−	6.18313i	−0.838833	−	0.484300i	0.0180347	−	0.999837i	$-0.494259\pi$
$163$	−10.7095	−	6.18313i	−0.838833	−	0.484300i	−0.856867	+	0.515537i	$0.827592\pi$
$164$	2.97397	+	2.60799i	0.232228	+	0.203650i
$165$	1.85926	+	0.291178i	0.144744	+	0.0226682i
$166$	−6.51656	−	2.45258i	−0.505783	−	0.190357i
$167$	−10.3795	−	17.9778i	−0.803190	−	1.39117i	−0.917506	−	0.397722i	$-0.869801\pi$
$167$	−10.3795	−	17.9778i	−0.803190	−	1.39117i	0.114316	−	0.993444i	$-0.463532\pi$
$168$	−7.60389	+	10.4967i	−0.586653	+	0.809839i
$169$	6.44791	−	11.1681i	0.495993	−	0.859086i
$170$	−0.969582	+	0.795732i	−0.0743635	+	0.0610299i
$171$	−7.51504	+	6.81386i	−0.574690	+	0.521069i
$172$	8.16231	+	1.62341i	0.622370	+	0.123784i
$173$	22.0851	−	12.7508i	1.67910	−	0.969427i	0.716859	−	0.697218i	$-0.245579\pi$
$173$	22.0851	−	12.7508i	1.67910	−	0.969427i	0.962238	−	0.272209i	$-0.0877543\pi$
$174$	3.48387	+	1.97310i	0.264112	+	0.149580i
$175$	−7.51630	−	10.7928i	−0.568179	−	0.815857i
$176$	20.2610	−	15.5482i	1.52723	−	1.17199i
$177$	−1.49360	+	1.85099i	−0.112266	+	0.139129i
$178$	0.0145913	−	0.0387695i	0.00109367	−	0.00290589i
$179$	−9.64001	−	16.6970i	−0.720528	−	1.24799i	−0.960788	−	0.277282i	$-0.910566\pi$
$179$	−9.64001	−	16.6970i	−0.720528	−	1.24799i	0.240261	−	0.970708i	$-0.422767\pi$
$180$	0.0169233	+	1.02091i	0.00126139	+	0.0760939i
$181$	5.32805			0.396031			0.198015	−	0.980199i	$-0.436550\pi$
$181$	5.32805			0.396031			0.198015	+	0.980199i	$0.436550\pi$
$182$	−0.328212	+	1.16218i	−0.0243287	+	0.0861464i
$183$	−20.0534	+	7.73767i	−1.48239	+	0.571985i
$184$	−7.92090	−	14.8178i	−0.583937	−	1.09239i
$185$	0.577511	−	1.00028i	0.0424595	−	0.0735420i
$186$	−8.88222	+	15.6832i	−0.651276	+	1.14995i
$187$	16.6384	+	28.8186i	1.21672	+	2.10742i
$188$	−5.79776	−	5.08428i	−0.422845	−	0.370810i
$189$	−13.6088	+	1.94939i	−0.989896	+	0.141797i
$190$	0.761622	+	0.286645i	0.0552539	+	0.0207954i
$191$	−6.06482	+	3.50153i	−0.438835	+	0.253362i	−0.703103	−	0.711088i	$-0.748203\pi$
$191$	−6.06482	+	3.50153i	−0.438835	+	0.253362i	0.264268	+	0.964449i	$0.414870\pi$
$192$	10.1919	+	9.38746i	0.735540	+	0.677481i
$193$	1.75705	−	3.04330i	0.126475	−	0.219061i	−0.795833	−	0.605516i	$-0.792967\pi$
$193$	1.75705	−	3.04330i	0.126475	−	0.219061i	0.922309	+	0.386454i	$0.126300\pi$
$194$	23.6278	+	8.89259i	1.69638	+	0.638451i
$195$	0.0342460	+	0.0887541i	0.00245241	+	0.00635582i
$196$	−0.376382	+	13.9949i	−0.0268844	+	0.999639i
$197$	−4.27653			−0.304690			−0.152345	−	0.988327i	$-0.548683\pi$
$197$	−4.27653			−0.304690			−0.152345	+	0.988327i	$0.548683\pi$
$198$	26.7961	+	3.96928i	1.90431	+	0.282085i
$199$	−10.3357	+	5.96731i	−0.732678	+	0.423012i	−0.819401	−	0.573221i	$-0.805694\pi$
$199$	−10.3357	+	5.96731i	−0.732678	+	0.423012i	0.0867232	+	0.996232i	$0.472360\pi$
$200$	−12.3998	+	6.62834i	−0.876799	+	0.468694i
$201$	0.109560	−	0.135775i	0.00772773	−	0.00957683i
$202$	2.96741	+	17.9722i	0.208786	+	1.26452i
$203$	4.30910	−	0.365945i	0.302440	−	0.0256843i
$204$	−13.8608	+	11.5690i	−0.970447	+	0.809995i
$205$	0.291473	−	0.168282i	0.0203574	−	0.0117533i
$206$	2.15396	+	13.0455i	0.150073	+	0.908922i
$207$	5.44833	−	16.9680i	0.378685	−	1.17936i
$208$	1.19276	+	0.494000i	0.0827033	+	0.0342528i
$209$	10.7948	−	18.6971i	0.746691	−	1.29331i
$210$	0.637749	+	0.899760i	0.0440089	+	0.0620893i
$211$	9.42133	−	5.43941i	0.648591	−	0.374464i	−0.139325	−	0.990247i	$-0.544493\pi$
$211$	9.42133	−	5.43941i	0.648591	−	0.374464i	0.787916	+	0.615782i	$0.211160\pi$
$212$	11.4063	+	10.0026i	0.783387	+	0.686983i
$213$	19.9770	+	3.12858i	1.36880	+	0.214367i
$214$	−1.67486	+	4.45013i	−0.114491	+	0.304205i
$215$	0.354056	−	0.613242i	0.0241464	−	0.0418228i
$216$	0.365369	+	14.6924i	0.0248602	+	0.999691i
$217$	1.64736	+	19.3981i	0.111830	+	1.31683i
$218$	−1.84118	+	1.51105i	−0.124701	+	0.102341i
$219$	1.92999	+	5.00187i	0.130416	+	0.337995i
$220$	−0.698551	−	2.05772i	−0.0470963	−	0.138732i
$221$	−0.841076	+	1.45679i	−0.0565769	+	0.0979940i
$222$	8.19309	−	14.4664i	0.549884	−	0.970922i
$223$	1.92988	+	1.11422i	0.129235	+	0.0746136i	0.563224	−	0.826305i	$-0.309561\pi$
$223$	1.92988	+	1.11422i	0.129235	+	0.0746136i	−0.433989	+	0.900918i	$0.642894\pi$
$224$	14.8111	+	2.15222i	0.989607	+	0.143801i
$225$	−14.1991	−	4.55925i	−0.946607	−	0.303950i
$226$	16.0187	−	13.1465i	1.06555	−	0.874494i
$227$			15.0825i			1.00106i	0.865720	+	0.500529i	$0.166861\pi$
$227$			15.0825i			1.00106i	−0.865720	+	0.500529i	$0.833139\pi$
$228$	10.9966	+	4.03497i	0.728267	+	0.267222i
$229$	−14.1256			−0.933447			−0.466724	−	0.884403i	$-0.654566\pi$
$229$	−14.1256			−0.933447			−0.466724	+	0.884403i	$0.654566\pi$
$230$	−1.41054	+	0.232897i	−0.0930084	+	0.0153568i
$231$	26.3081	−	12.8048i	1.73095	−	0.842496i
$232$	0.151122	−	4.62073i	0.00992162	−	0.303366i
$233$	−20.8193	−	12.0200i	−1.36392	−	0.787459i	−0.373776	−	0.927519i	$-0.621937\pi$
$233$	−20.8193	−	12.0200i	−1.36392	−	0.787459i	−0.990143	+	0.140060i	$0.955270\pi$
$234$	0.503508	+	1.27340i	0.0329153	+	0.0832446i
$235$	−0.568227	+	0.328066i	−0.0370670	+	0.0214007i
$236$	2.69363	+	0.535738i	0.175341	+	0.0348736i
$237$	−4.40175	+	1.69843i	−0.285924	+	0.110325i
$238$	−5.30001	+	18.7670i	−0.343549	+	1.21648i
$239$	14.9498	−	8.63128i	0.967023	−	0.558311i	0.0686954	−	0.997638i	$-0.478116\pi$
$239$	14.9498	−	8.63128i	0.967023	−	0.558311i	0.898327	+	0.439327i	$0.144783\pi$
$240$	1.03513	−	0.564409i	0.0668172	−	0.0364324i
$241$			17.2042i			1.10822i	0.832444	+	0.554109i	$0.186941\pi$
$241$			17.2042i			1.10822i	−0.832444	+	0.554109i	$0.813059\pi$
$242$	−41.5329	+	6.85755i	−2.66983	+	0.440820i
$243$	−10.9268	+	11.1178i	−0.700956	+	0.713204i
$244$	18.6608	+	16.3644i	1.19463	+	1.04762i
$245$	1.11729	+	0.413116i	0.0713812	+	0.0263930i
$246$	4.17525	−	2.45694i	0.266204	−	0.156649i
$247$	1.09136			0.0694415
$248$	20.8009	+	0.680297i	1.32086	+	0.0431989i
$249$	−5.35515	+	6.63652i	−0.339369	+	0.420573i
$250$	0.390919	+	2.36760i	0.0247239	+	0.149740i
$251$			12.6984i			0.801516i	0.916184	+	0.400758i	$0.131253\pi$
$251$			12.6984i			0.801516i	−0.916184	+	0.400758i	$0.868747\pi$
$252$	9.28677	+	12.8746i	0.585012	+	0.811025i
$253$			37.9285i			2.38454i
$254$	−21.3812	+	3.53029i	−1.34158	+	0.221510i
$255$	0.553009	+	1.43321i	0.0346308	+	0.0897513i
$256$	4.13981	−	15.4552i	0.258738	−	0.965948i
$257$	−21.2668			−1.32659			−0.663294	−	0.748359i	$-0.730842\pi$
$257$	−21.2668			−1.32659			−0.663294	+	0.748359i	$0.730842\pi$
$258$	5.02295	−	8.86894i	0.312715	−	0.552156i
$259$	−1.51955	−	17.8931i	−0.0944200	−	1.11182i
$260$	0.0724267	−	0.0825903i	0.00449171	−	0.00512203i
$261$	3.63273	−	3.29379i	0.224860	−	0.203880i
$262$	−2.55767	−	15.4906i	−0.158014	−	0.957011i
$263$			16.1092i			0.993338i	0.867940	+	0.496669i	$0.165444\pi$
$263$			16.1092i			0.993338i	−0.867940	+	0.496669i	$0.834556\pi$
$264$	−10.3001	−	29.5345i	−0.633925	−	1.81772i
$265$	1.11791	−	0.645424i	0.0686725	−	0.0396481i
$266$	12.2638	−	3.11000i	0.751944	−	0.190686i
$267$	−0.0394832	−	0.0318598i	−0.00241633	−	0.00194979i
$268$	−0.197585	−	0.0392978i	−0.0120694	−	0.00240050i
$269$	−6.13606	+	3.54266i	−0.374122	+	0.216000i	−0.675258	−	0.737582i	$-0.735968\pi$
$269$	−6.13606	+	3.54266i	−0.374122	+	0.216000i	0.301135	+	0.953581i	$0.402634\pi$
$270$	1.19378	+	0.372429i	0.0726509	+	0.0226653i
$271$	−6.47533	−	3.73853i	−0.393348	−	0.227100i	0.290262	−	0.956947i	$-0.406258\pi$
$271$	−6.47533	−	3.73853i	−0.393348	−	0.227100i	−0.683610	+	0.729848i	$0.739591\pi$
$272$	19.2609	+	7.97718i	1.16786	+	0.483687i
$273$	1.22551	+	0.828069i	0.0741712	+	0.0501170i
$274$	−2.18019	−	13.2044i	−0.131710	−	0.797705i
$275$	31.7391			1.91394
$276$	−20.2749	+	3.52046i	−1.22040	+	0.211907i
$277$		−	4.75478i		−	0.285687i	−0.989745	−	0.142844i	$-0.954375\pi$
$277$		−	4.75478i		−	0.285687i	0.989745	−	0.142844i	$-0.0456246\pi$
$278$	10.7237	+	13.0666i	0.643168	+	0.783685i
$279$	14.8275	+	16.3533i	0.887698	+	0.979046i
$280$	0.578520	−	1.13448i	0.0345732	−	0.0677979i
$281$	−4.83067	−	2.78899i	−0.288174	−	0.166377i	0.348944	−	0.937144i	$-0.386540\pi$
$281$	−4.83067	−	2.78899i	−0.288174	−	0.166377i	−0.637118	+	0.770766i	$0.719874\pi$
$282$	−8.13964	+	4.78980i	−0.484709	+	0.285229i
$283$	4.17315	−	7.22810i	0.248068	−	0.429666i	−0.714922	−	0.699204i	$-0.753538\pi$
$283$	4.17315	−	7.22810i	0.248068	−	0.429666i	0.962990	+	0.269538i	$0.0868711\pi$
$284$	−7.50561	−	22.1093i	−0.445376	−	1.31195i
$285$	0.625882	−	0.775643i	0.0370740	−	0.0459451i
$286$	−1.84884	−	2.25277i	−0.109324	−	0.133209i
$287$	2.22349	−	4.73676i	0.131248	−	0.279602i
$288$	14.8318	−	8.24730i	0.873972	−	0.485977i
$289$	−5.08180	+	8.80193i	−0.298929	+	0.517761i
$290$	−0.368164	−	0.138563i	−0.0216193	−	0.00813668i
$291$	19.4167	−	24.0628i	1.13823	−	1.41058i
$292$	4.08172	−	4.65450i	0.238864	−	0.272384i
$293$	−23.2525	+	13.4248i	−1.35843	+	0.784288i	−0.989412	−	0.145135i	$-0.953638\pi$
$293$	−23.2525	+	13.4248i	−1.35843	+	0.784288i	−0.369015	+	0.929423i	$0.620305\pi$
$294$	16.1310	+	5.81291i	0.940781	+	0.339016i
$295$	0.116841	−	0.202375i	0.00680277	−	0.0117827i
$296$	−19.1871	−	0.627516i	−1.11523	−	0.0364736i
$297$	14.9080	−	29.6383i	0.865049	−	1.71979i
$298$	−1.62357	+	0.268070i	−0.0940508	+	0.0155289i
$299$	−1.66043	+	0.958648i	−0.0960249	+	0.0554400i
$300$	2.94598	+	16.9663i	0.170086	+	0.979551i
$301$	−0.931590	−	10.9697i	−0.0536960	−	0.632285i
$302$	−10.0556	+	1.66030i	−0.578636	+	0.0955394i
$303$	22.0407	+	3.45178i	1.26621	+	0.198300i
$304$	−1.76601	−	13.4098i	−0.101287	−	0.769105i
$305$	1.82890	−	1.05592i	0.104723	−	0.0604617i
$306$	8.13071	+	20.5630i	0.464802	+	1.17551i
$307$	−11.8555			−0.676628			−0.338314	−	0.941033i	$-0.609857\pi$
$307$	−11.8555			−0.676628			−0.338314	+	0.941033i	$0.609857\pi$
$308$	−27.1954	−	20.0463i	−1.54960	−	1.14224i
$309$	15.9987	+	2.50555i	0.910134	+	0.142536i
$310$	0.623761	−	1.65735i	0.0354273	−	0.0941309i
$311$	−15.1361	+	26.2164i	−0.858287	+	1.48660i	0.0152751	+	0.999883i	$0.495138\pi$
$311$	−15.1361	+	26.2164i	−0.858287	+	1.48660i	−0.873562	+	0.486713i	$0.838196\pi$
$312$	1.03262	−	1.19740i	0.0584607	−	0.0677896i
$313$	13.3334	−	7.69807i	0.753651	−	0.435121i	−0.0733607	−	0.997305i	$-0.523372\pi$
$313$	13.3334	−	7.69807i	0.753651	−	0.435121i	0.827012	+	0.562185i	$0.190039\pi$
$314$	5.84978	−	15.5430i	0.330122	−	0.877141i
$315$	1.29133	−	0.396098i	0.0727585	−	0.0223176i
$316$	4.09606	+	3.59199i	0.230421	+	0.202065i
$317$	−10.4791	−	18.1504i	−0.588567	−	1.01943i	−0.994420	−	0.105490i	$-0.966359\pi$
$317$	−10.4791	−	18.1504i	−0.588567	−	1.01943i	0.405853	−	0.913938i	$-0.366974\pi$
$318$	16.0136	−	9.42327i	0.897998	−	0.528431i
$319$	−5.21814	+	9.03809i	−0.292160	+	0.506036i
$320$	−1.13201	−	0.756279i	−0.0632811	−	0.0422773i
$321$	4.53206	+	3.65701i	0.252955	+	0.204114i
$322$	−15.9268	+	15.5042i	−0.887563	+	0.864014i
$323$	17.6234			0.980592
$324$	17.2270	+	5.21816i	0.957058	+	0.289898i
$325$	0.802211	+	1.38947i	0.0444987	+	0.0770740i
$326$	16.3677	+	6.16017i	0.906522	+	0.341180i
$327$	1.05013	+	2.72159i	0.0580726	+	0.150504i
$328$	−4.75049	−	2.95384i	−0.262302	−	0.163098i
$329$	−4.33469	+	9.23431i	−0.238979	+	0.509104i
$330$	−2.66136	+	0.0220568i	−0.146503	+	0.00121418i
$331$	−12.5157	+	7.22593i	−0.687924	+	0.397173i	−0.802834	−	0.596203i	$-0.796675\pi$
$331$	−12.5157	+	7.22593i	−0.687924	+	0.397173i	0.114910	+	0.993376i	$0.463342\pi$
$332$	9.65773	+	1.92083i	0.530037	+	0.105419i
$333$	−13.6771	−	15.0845i	−0.749499	−	0.826627i
$334$	18.6245	+	22.6936i	1.01909	+	1.24174i
$335$	−0.00857063	+	0.0148448i	−0.000468263	+	0.000811056i
$336$	8.19160	−	16.3981i	0.446889	−	0.894590i
$337$	−8.15573	−	14.1261i	−0.444271	−	0.769500i	0.553730	−	0.832696i	$-0.313204\pi$
$337$	−8.15573	−	14.1261i	−0.444271	−	0.769500i	−0.998001	+	0.0631964i	$0.979871\pi$
$338$	−6.42397	+	17.0686i	−0.349418	+	0.928410i
$339$	−9.13642	−	23.6785i	−0.496222	−	1.28604i
$340$	1.16956	−	1.33368i	0.0634280	−	0.0723289i
$341$	−40.6863	−	23.4903i	−2.20329	−	1.27207i
$342$	8.91610	−	11.2389i	0.482128	−	0.607729i
$343$	17.9253	−	4.65662i	0.967875	−	0.251434i
$344$	−11.7631	−	0.384712i	−0.634221	−	0.0207423i
$345$	−0.270912	+	1.72986i	−0.0145854	+	0.0931325i
$346$	−27.8782	+	22.8795i	−1.49874	+	1.23001i
$347$	−2.90796	+	5.03674i	−0.156108	+	0.270386i	−0.933462	−	0.358677i	$-0.883228\pi$
$347$	−2.90796	+	5.03674i	−0.156108	+	0.270386i	0.777354	+	0.629063i	$0.216561\pi$
$348$	−5.31570	−	1.95048i	−0.284951	−	0.104557i
$349$	−11.7527	+	20.3563i	−0.629109	+	1.08965i	0.358622	+	0.933483i	$0.383247\pi$
$349$	−11.7527	+	20.3563i	−0.629109	+	1.08965i	−0.987731	+	0.156166i	$0.950087\pi$
$350$	12.9741	+	13.3278i	0.693497	+	0.712399i
$351$	1.67430	−	0.0964731i	0.0893676	−	0.00514935i
$352$	−24.6886	+	26.3625i	−1.31590	+	1.40512i
$353$	−12.5545			−0.668211			−0.334106	−	0.942536i	$-0.608434\pi$
$353$	−12.5545			−0.668211			−0.334106	+	0.942536i	$0.608434\pi$
$354$	1.65762	−	2.92683i	0.0881013	−	0.155559i
$355$	−1.98666			−0.105441
$356$	−0.0114277	+	0.0574575i	−0.000605669	+	0.00304524i
$357$	19.7897	+	13.3718i	1.04738	+	0.707709i
$358$	17.2976	+	21.0768i	0.914208	+	1.11394i
$359$	−13.9559	−	8.05742i	−0.736562	−	0.425254i	0.0842561	−	0.996444i	$-0.473149\pi$
$359$	−13.9559	−	8.05742i	−0.736562	−	0.425254i	−0.820818	+	0.571190i	$0.806482\pi$
$360$	−0.258813	−	1.42059i	−0.0136407	−	0.0748719i
$361$	3.78308	+	6.55248i	0.199109	+	0.344867i
$362$	−7.43434	+	1.22750i	−0.390740	+	0.0645157i
$363$	−7.97690	+	50.9350i	−0.418679	+	2.67339i
$364$	0.190215	−	1.69723i	0.00996996	−	0.0889589i
$365$	−0.263375	−	0.456179i	−0.0137857	−	0.0238775i
$366$	26.1984	−	15.4165i	1.36941	−	0.805835i
$367$			25.2154i			1.31624i	0.752915	+	0.658118i	$0.228647\pi$
$367$			25.2154i			1.31624i	−0.752915	+	0.658118i	$0.771353\pi$
$368$	14.4660	+	18.8508i	0.754092	+	0.982667i
$369$	−1.25370	−	5.79932i	−0.0652648	−	0.301900i
$370$	−0.575366	+	1.52876i	−0.0299119	+	0.0794765i
$371$	8.52789	−	18.1672i	0.442746	−	0.943195i
$372$	8.78040	−	23.9294i	0.455243	−	1.24068i
$373$			26.4988i			1.37205i	0.727576	+	0.686027i	$0.240647\pi$
$373$			26.4988i			1.37205i	−0.727576	+	0.686027i	$0.759353\pi$
$374$	−29.8552	−	36.3779i	−1.54378	−	1.88106i
$375$	2.90358	+	0.454728i	0.149940	+	0.0234820i
$376$	9.26108	+	5.75850i	0.477604	+	0.296972i
$377$	−0.527557			−0.0271706
$378$	18.5396	−	5.85527i	0.953573	−	0.301163i
$379$		−	33.1817i		−	1.70443i	−0.523193	−	0.852214i	$-0.675259\pi$
$379$		−	33.1817i		−	1.70443i	0.523193	−	0.852214i	$-0.324741\pi$
$380$	−1.12875	−	0.224497i	−0.0579034	−	0.0115164i
$381$	−4.10653	+	26.2215i	−0.210384	+	1.34337i
$382$	7.65568	−	6.28299i	0.391699	−	0.321466i
$383$	−26.4925			−1.35370			−0.676851	−	0.736120i	$-0.736656\pi$
$383$	−26.4925			−1.35370			−0.676851	+	0.736120i	$0.736656\pi$
$384$	−16.3838	−	10.7505i	−0.836080	−	0.548608i
$385$	−2.35900	+	1.64285i	−0.120226	+	0.0837276i
$386$	−1.75052	+	4.65117i	−0.0890993	+	0.236739i
$387$	−8.38503	−	9.24789i	−0.426235	−	0.470097i
$388$	−35.0171	−	6.96457i	−1.77772	−	0.353572i
$389$	−8.29295			−0.420469			−0.210235	−	0.977651i	$-0.567423\pi$
$389$	−8.29295			−0.420469			−0.210235	+	0.977651i	$0.567423\pi$
$390$	−0.0682317	−	0.115951i	−0.00345505	−	0.00587140i
$391$	−26.8128	+	15.4804i	−1.35598	+	0.782876i
$392$	−2.69903	−	19.6142i	−0.136322	−	0.990665i
$393$	−18.9973	−	2.97516i	−0.958288	−	0.150077i
$394$	5.96714	−	0.985243i	0.300620	−	0.0496358i
$395$	0.401446	−	0.231775i	0.0201990	−	0.0116619i
$396$	−38.3036	+	0.634948i	−1.92483	+	0.0319073i
$397$	12.9694	−	22.4637i	0.650917	−	1.12742i	−0.331984	−	0.943285i	$-0.607718\pi$
$397$	12.9694	−	22.4637i	0.650917	−	1.12742i	0.982901	−	0.184136i	$-0.0589486\pi$
$398$	13.0468	−	10.7075i	0.653979	−	0.536718i
$399$	1.09349	−	15.4569i	0.0547431	−	0.773812i
$400$	15.7747	−	12.1054i	0.788733	−	0.605269i
$401$		−	0.611759i		−	0.0305498i	−0.999883	−	0.0152749i	$-0.995138\pi$
$401$		−	0.611759i		−	0.0305498i	0.999883	−	0.0152749i	$-0.00486234\pi$
$402$	−0.121590	+	0.214690i	−0.00606438	+	0.0107078i
$403$		−	2.37488i		−	0.118301i
$404$	−8.28099	−	24.3933i	−0.411995	−	1.21361i
$405$	0.891628	−	1.24527i	0.0443053	−	0.0618781i
$406$	−5.92827	+	1.50336i	−0.294215	+	0.0746103i
$407$	37.5297	+	21.6678i	1.86028	+	1.07403i
$408$	16.6749	−	19.3358i	0.825531	−	0.957266i
$409$	−1.10472	−	0.637813i	−0.0546251	−	0.0315378i	0.472439	−	0.881364i	$-0.343374\pi$
$409$	−1.10472	−	0.637813i	−0.0546251	−	0.0315378i	−0.527064	+	0.849826i	$0.676707\pi$
$410$	−0.367930	+	0.301958i	−0.0181707	+	0.0149127i
$411$	−16.1936	−	2.53606i	−0.798769	−	0.125095i
$412$	−6.01093	−	17.7064i	−0.296137	−	0.872332i
$413$	−0.307433	−	3.62010i	−0.0151278	−	0.178134i
$414$	−3.69302	+	24.9310i	−0.181502	+	1.22529i
$415$	0.418923	−	0.725595i	0.0205641	−	0.0356181i
$416$	−1.77810	−	0.414496i	−0.0871785	−	0.0203223i
$417$	19.3148	−	7.45267i	0.945850	−	0.364959i
$418$	−10.7547	+	28.5754i	−0.526029	+	1.39767i
$419$	15.8835	−	9.17037i	0.775962	−	0.448002i	−0.0590355	−	0.998256i	$-0.518803\pi$
$419$	15.8835	−	9.17037i	0.775962	−	0.448002i	0.834997	+	0.550254i	$0.185469\pi$
$420$	−1.09716	−	1.10853i	−0.0535357	−	0.0540906i
$421$	−1.16551	−	0.672907i	−0.0568034	−	0.0327955i	0.471329	−	0.881957i	$-0.343774\pi$
$421$	−1.16551	−	0.672907i	−0.0568034	−	0.0327955i	−0.528133	+	0.849162i	$0.677108\pi$
$422$	−11.8926	+	9.76025i	−0.578925	+	0.475121i
$423$	2.44408	+	11.3058i	0.118835	+	0.549705i
$424$	−18.2199	−	11.3291i	−0.884836	−	0.550187i
$425$	12.9542	+	22.4374i	0.628372	+	1.08837i
$426$	−28.5951	+	0.236990i	−1.38543	+	0.0114822i
$427$	13.9517	−	29.7217i	0.675169	−	1.43833i
$428$	1.31173	−	6.59523i	0.0634048	−	0.318792i
$429$	−3.32998	+	1.28488i	−0.160773	+	0.0620348i
$430$	−0.352741	+	0.937239i	−0.0170107	+	0.0451977i
$431$	2.22385	−	1.28394i	0.107119	−	0.0618452i	−0.445483	−	0.895290i	$-0.646968\pi$
$431$	2.22385	−	1.28394i	0.107119	−	0.0618452i	0.552602	+	0.833445i	$0.313635\pi$
$432$	−3.89470	−	20.4164i	−0.187384	−	0.982287i
$433$		−	12.1155i		−	0.582233i	−0.956688	−	0.291117i	$-0.905973\pi$
$433$		−	12.1155i		−	0.582233i	0.956688	−	0.291117i	$-0.0940268\pi$
$434$	−6.76759	−	26.6870i	−0.324855	−	1.28102i
$435$	−0.302548	+	0.374942i	−0.0145061	+	0.0179771i
$436$	2.22092	−	2.53258i	0.106363	−	0.121289i
$437$	17.3958	+	10.0435i	0.832154	+	0.480444i
$438$	−3.84530	−	6.53459i	−0.183736	−	0.312235i
$439$	2.26718	−	1.30896i	0.108207	−	0.0624731i	−0.444920	−	0.895570i	$-0.646768\pi$
$439$	2.26718	−	1.30896i	0.108207	−	0.0624731i	0.553127	+	0.833097i	$0.313435\pi$
$440$	1.44877	+	2.71025i	0.0690674	+	0.129206i
$441$	12.9558	−	16.5272i	0.616943	−	0.787008i
$442$	0.837952	−	2.22646i	0.0398573	−	0.105902i
$443$	−10.4214	−	18.0504i	−0.495136	−	0.857601i	0.504848	−	0.863208i	$-0.331549\pi$
$443$	−10.4214	−	18.0504i	−0.495136	−	0.857601i	−0.999984	+	0.00560700i	$0.998215\pi$
$444$	−8.09917	+	22.0728i	−0.384370	+	1.04753i
$445$	0.00431684	+	0.00249233i	0.000204638	+	0.000118148i
$446$	−2.94951	−	1.11008i	−0.139663	−	0.0525638i
$447$	−0.311826	+	1.99111i	−0.0147489	+	0.0941763i
$448$	−21.1621	+	0.409188i	−0.999813	+	0.0193323i
$449$			8.27693i			0.390613i	0.980742	+	0.195306i	$0.0625701\pi$
$449$			8.27693i			0.390613i	−0.980742	+	0.195306i	$0.937430\pi$
$450$	20.8627	+	3.09038i	0.983477	+	0.145682i
$451$	6.31381	+	10.9358i	0.297306	+	0.514949i
$452$	−19.3226	+	22.0341i	−0.908857	+	1.03640i
$453$	−1.93131	+	12.3320i	−0.0907407	+	0.579408i
$454$	−3.47475	−	21.0449i	−0.163078	−	0.987686i
$455$	−0.131545	−	0.0617485i	−0.00616691	−	0.00289481i
$456$	−16.2734	−	3.09665i	−0.762071	−	0.145014i
$457$	−13.4417	−	23.2817i	−0.628777	−	1.08907i	−0.987798	−	0.155743i	$-0.950223\pi$
$457$	−13.4417	−	23.2817i	−0.628777	−	1.08907i	0.359021	−	0.933329i	$-0.383111\pi$
$458$	19.7098	−	3.25431i	0.920978	−	0.152064i
$459$	27.0368	−	1.55786i	1.26197	−	0.0727146i
$460$	1.91451	−	0.649932i	0.0892643	−	0.0303032i
$461$	4.83735	+	2.79285i	0.225298	+	0.130076i	0.608401	−	0.793630i	$-0.291811\pi$
$461$	4.83735	+	2.79285i	0.225298	+	0.130076i	−0.383103	+	0.923706i	$0.625145\pi$
$462$	−33.7583	+	23.9278i	−1.57058	+	1.11322i
$463$	2.78983	+	4.83212i	0.129654	+	0.224568i	0.923543	−	0.383496i	$-0.125280\pi$
$463$	2.78983	+	4.83212i	0.129654	+	0.224568i	−0.793888	+	0.608063i	$0.791947\pi$
$464$	0.853678	+	6.48223i	0.0396310	+	0.300930i
$465$	−1.68786	−	1.36197i	−0.0782725	−	0.0631596i
$466$	31.8189	+	11.9754i	1.47398	+	0.554749i
$467$	−4.91935	−	2.84019i	−0.227640	−	0.131428i	0.381843	−	0.924227i	$-0.375290\pi$
$467$	−4.91935	−	2.84019i	−0.227640	−	0.131428i	−0.609483	+	0.792799i	$0.708623\pi$
$468$	−0.995925	−	1.66080i	−0.0460367	−	0.0767705i
$469$	0.0225510	+	0.265544i	0.00104131	+	0.0122617i
$470$	0.717279	−	0.588668i	0.0330856	−	0.0271532i
$471$	−15.8291	−	12.7728i	−0.729367	−	0.588541i
$472$	−3.88191	−	0.126958i	−0.178679	−	0.00584373i
$473$	23.0084	+	13.2839i	1.05793	+	0.610794i
$474$	5.75057	−	3.38394i	0.264132	−	0.155430i
$475$	8.40453	−	14.5571i	0.385626	−	0.667924i
$476$	3.07161	−	27.4070i	0.140787	−	1.25620i
$477$	−4.80839	−	22.2425i	−0.220161	−	1.01842i
$478$	−18.8713	+	15.4876i	−0.863153	+	0.708386i
$479$	23.4902			1.07329			0.536647	−	0.843807i	$-0.319691\pi$
$479$	23.4902			1.07329			0.536647	+	0.843807i	$0.319691\pi$
$480$	−1.31431	+	1.02601i	−0.0599896	+	0.0468307i
$481$			2.19062i			0.0998838i
$482$	−3.96356	−	24.0054i	−0.180535	−	1.09341i
$483$	11.9136	+	24.4771i	0.542088	+	1.11375i
$484$	56.3718	−	19.1370i	2.56236	−	0.869863i
$485$	−1.51893	+	2.63087i	−0.0689712	+	0.119462i
$486$	12.6851	−	18.0302i	0.575408	−	0.817867i
$487$	−5.41033	−	9.37097i	−0.245166	−	0.424639i	0.717013	−	0.697060i	$-0.245509\pi$
$487$	−5.41033	−	9.37097i	−0.245166	−	0.424639i	−0.962178	+	0.272421i	$0.912176\pi$
$488$	−29.8078	−	18.5344i	−1.34934	−	0.839013i
$489$	13.4506	−	16.6690i	0.608255	−	0.753799i
$490$	−1.65416	−	0.319024i	−0.0747272	−	0.0144120i
$491$	10.6165	+	18.3883i	0.479116	+	0.829854i	0.999713	−	0.0239490i	$-0.00762393\pi$
$491$	10.6165	+	18.3883i	0.479116	+	0.829854i	−0.520597	+	0.853803i	$0.674291\pi$
$492$	−5.25977	+	4.39013i	−0.237129	+	0.197922i
$493$	−8.51906			−0.383679
$494$	−1.52280	+	0.251431i	−0.0685139	+	0.0113124i
$495$	−0.996524	+	3.10353i	−0.0447904	+	0.139493i
$496$	−29.1807	+	3.84296i	−1.31025	+	0.172554i
$497$	−25.3464	+	17.6517i	−1.13694	+	0.791788i
$498$	5.94320	−	10.4938i	0.266321	−	0.470240i
$499$			25.4130i			1.13764i	0.822462	+	0.568820i	$0.192600\pi$
$499$			25.4130i			1.13764i	−0.822462	+	0.568820i	$0.807400\pi$
$500$	−1.09091	−	3.21351i	−0.0487872	−	0.143713i
$501$	33.5451	−	12.9435i	1.49869	−	0.578272i
$502$	−2.92550	−	17.7184i	−0.130572	−	0.790809i
$503$	5.05261			0.225285			0.112642	−	0.993636i	$-0.464069\pi$
$503$	5.05261			0.225285			0.112642	+	0.993636i	$0.464069\pi$
$504$	−15.9241	−	15.8247i	−0.709318	−	0.704889i
$505$	−2.19190			−0.0975382
$506$	−8.73810	−	52.9224i	−0.388456	−	2.35269i
$507$	17.3828	+	14.0266i	0.771999	+	0.622941i
$508$	29.0204	−	9.85177i	1.28757	−	0.437102i
$509$			6.50299i			0.288240i	0.989560	+	0.144120i	$0.0460352\pi$
$509$			6.50299i			0.288240i	−0.989560	+	0.144120i	$0.953965\pi$
$510$	−1.10181	−	1.87239i	−0.0487892	−	0.0829108i
$511$	−7.41340	−	3.47993i	−0.327949	−	0.153943i
$512$	−2.21575	+	22.5187i	−0.0979232	+	0.995194i
$513$	−9.64589	−	14.6857i	−0.425876	−	0.648391i
$514$	29.6741	−	4.89953i	1.30887	−	0.216109i
$515$	−1.59104			−0.0701094
$516$	−4.96537	+	13.5322i	−0.218588	+	0.595723i
$517$	−12.3088	−	21.3194i	−0.541339	−	0.937627i
$518$	6.24252	+	24.6165i	0.274281	+	1.08159i
$519$	15.9006	+	41.2089i	0.697958	+	1.80887i
$520$	−0.0820311	+	0.131926i	−0.00359730	+	0.00578534i
$521$	−10.1869	−	17.6443i	−0.446298	−	0.773011i	0.551843	−	0.833948i	$-0.313925\pi$
$521$	−10.1869	−	17.6443i	−0.446298	−	0.773011i	−0.998142	+	0.0609364i	$0.980591\pi$
$522$	−4.31000	+	5.43281i	−0.188643	+	0.237788i
$523$	10.3604	−	17.9447i	0.453029	−	0.784669i	−0.545544	−	0.838082i	$-0.683677\pi$
$523$	10.3604	−	17.9447i	0.453029	−	0.784669i	0.998572	+	0.0534137i	$0.0170102\pi$
$524$	7.13755	+	21.0251i	0.311805	+	0.918486i
$525$	20.4828	−	9.96950i	0.893943	−	0.435105i
$526$	−3.71130	−	22.4776i	−0.161821	−	0.980068i
$527$		−	38.3499i		−	1.67055i
$528$	21.1762	+	38.8372i	0.921575	+	1.69017i
$529$	−12.2886			−0.534289
$530$	−1.41115	+	1.15812i	−0.0612962	+	0.0503056i
$531$	−2.76713	−	3.05188i	−0.120083	−	0.132440i
$532$	−16.3955	+	7.16484i	−0.710836	+	0.310635i
$533$	−0.319165	+	0.552810i	−0.0138246	+	0.0239449i
$534$	0.0624317	+	0.0353584i	0.00270168	+	0.00153011i
$535$	−0.495506	−	0.286081i	−0.0214226	−	0.0123683i
$536$	0.284748	+	0.00931272i	0.0122993	+	0.000402248i
$537$	31.1552	−	12.0213i	1.34444	−	0.518758i
$538$	7.74561	−	6.35680i	0.333937	−	0.274061i
$539$	−15.4998	+	41.9199i	−0.667623	+	1.80562i
$540$	−1.75150	−	0.244633i	−0.0753727	−	0.0105273i
$541$	12.7493	+	7.36083i	0.548136	+	0.316467i	0.748370	−	0.663282i	$-0.230837\pi$
$541$	12.7493	+	7.36083i	0.548136	+	0.316467i	−0.200234	+	0.979748i	$0.564170\pi$
$542$	9.89647	+	3.72465i	0.425090	+	0.159987i
$543$	−1.42786	+	9.11732i	−0.0612752	+	0.391262i
$544$	−28.7130	−	6.69334i	−1.23106	−	0.286974i
$545$	−0.143306	−	0.248213i	−0.00613856	−	0.0106323i
$546$	−1.90075	−	0.873085i	−0.0813448	−	0.0373646i
$547$	−21.0936	−	12.1784i	−0.901898	−	0.520711i	−0.0240825	−	0.999710i	$-0.507666\pi$
$547$	−21.0936	−	12.1784i	−0.901898	−	0.520711i	−0.877815	+	0.478999i	$0.841000\pi$
$548$	6.08414	+	17.9221i	0.259902	+	0.765593i
$549$	−7.86656	−	36.3889i	−0.335736	−	1.55304i
$550$	−44.2863	+	7.31218i	−1.88838	+	0.311792i
$551$	2.76353	+	4.78657i	0.117730	+	0.203915i
$552$	27.4789	−	9.58318i	1.16958	−	0.407887i
$553$	3.06241	−	6.52394i	0.130227	−	0.277426i
$554$	1.09542	+	6.63445i	0.0465401	+	0.281871i
$555$	1.55690	+	1.25630i	0.0660869	+	0.0533268i
$556$	−17.9734	−	15.7616i	−0.762243	−	0.668441i
$557$	12.7321	+	22.0526i	0.539476	+	0.934400i	0.998932	+	0.0461998i	$0.0147111\pi$
$557$	12.7321	+	22.0526i	0.539476	+	0.934400i	−0.459456	+	0.888201i	$0.651956\pi$
$558$	−24.4566	−	19.4021i	−1.03533	−	0.821357i
$559$			1.34301i			0.0568032i
$560$	−0.545857	+	1.71624i	−0.0230667	+	0.0725244i
$561$	−53.7730	+	20.7485i	−2.27030	+	0.876001i
$562$	7.38288	+	2.77863i	0.311428	+	0.117209i
$563$	12.0039	+	6.93047i	0.505905	+	0.292085i	0.731149	−	0.682218i	$-0.238984\pi$
$563$	12.0039	+	6.93047i	0.505905	+	0.292085i	−0.225244	+	0.974302i	$0.572318\pi$
$564$	10.2539	−	8.55856i	0.431768	−	0.360380i
$565$	1.24680	+	2.15952i	0.0524532	+	0.0908516i
$566$	−4.15765	+	11.0470i	−0.174759	+	0.464338i
$567$	0.311230	−	23.8097i	0.0130705	−	0.999915i
$568$	15.5664	+	29.1204i	0.653150	+	1.22187i
$569$	13.2797	−	7.66706i	0.556716	−	0.321420i	−0.195110	−	0.980781i	$-0.562507\pi$
$569$	13.2797	−	7.66706i	0.556716	−	0.321420i	0.751826	+	0.659361i	$0.229173\pi$
$570$	−0.694611	+	1.22646i	−0.0290941	+	0.0513709i
$571$	−16.9217	−	9.76977i	−0.708153	−	0.408852i	0.102224	−	0.994761i	$-0.467404\pi$
$571$	−16.9217	−	9.76977i	−0.708153	−	0.408852i	−0.810377	+	0.585909i	$0.800738\pi$
$572$	3.09872	+	2.71739i	0.129564	+	0.113620i
$573$	−4.36648	−	11.3165i	−0.182412	−	0.472752i
$574$	−2.01121	+	7.12156i	−0.0839462	+	0.297248i
$575$			29.5301i			1.23149i
$576$	−18.7951	+	14.9246i	−0.783128	+	0.621860i
$577$	−18.0752	+	10.4357i	−0.752479	+	0.434444i	−0.826589	−	0.562806i	$-0.809722\pi$
$577$	−18.0752	+	10.4357i	−0.752479	+	0.434444i	0.0741100	+	0.997250i	$0.476388\pi$
$578$	5.06292	−	13.4523i	0.210590	−	0.559542i
$579$	4.73680	+	3.82222i	0.196855	+	0.158846i
$580$	0.545630	+	0.108521i	0.0226560	+	0.00450607i
$581$	−1.10227	−	12.9795i	−0.0457298	−	0.538480i
$582$	−21.5489	+	38.0486i	−0.893232	+	1.57717i
$583$	24.2158	+	41.9430i	1.00292	+	1.73710i
$584$	−4.62299	+	7.43489i	−0.191301	+	0.307658i
$585$	−0.161053	+	0.0348164i	−0.00665872	+	0.00143948i
$586$	29.3519	−	24.0890i	1.21252	−	0.995107i
$587$	−12.2475	−	7.07111i	−0.505510	−	0.291856i	0.225476	−	0.974249i	$-0.427606\pi$
$587$	−12.2475	−	7.07111i	−0.505510	−	0.291856i	−0.730986	+	0.682393i	$0.760940\pi$
$588$	−23.8472	−	4.39455i	−0.983441	−	0.181228i
$589$	−21.5475	+	12.4405i	−0.887849	+	0.512600i
$590$	−0.116407	+	0.309297i	−0.00479242	+	0.0127336i
$591$	1.14606	−	7.31798i	0.0471427	−	0.301021i
$592$	26.9167	−	3.54480i	1.10627	−	0.145691i
$593$	−0.837914	+	1.45131i	−0.0344090	+	0.0595981i	−0.882717	−	0.469905i	$-0.844288\pi$
$593$	−0.837914	+	1.45131i	−0.0344090	+	0.0595981i	0.848308	+	0.529503i	$0.177622\pi$
$594$	−13.9733	+	44.7895i	−0.573330	+	1.83774i
$595$	−2.12420	−	0.997123i	−0.0870837	−	0.0408780i
$596$	2.20364	−	0.748087i	0.0902647	−	0.0306429i
$597$	−7.44138	−	19.2855i	−0.304555	−	0.789305i
$598$	2.09597	−	1.72016i	0.0857107	−	0.0703424i
$599$	12.2835	+	7.09186i	0.501889	+	0.289766i	0.729493	−	0.683988i	$-0.239756\pi$
$599$	12.2835	+	7.09186i	0.501889	+	0.289766i	−0.227604	+	0.973754i	$0.573089\pi$
$600$	−8.01935	−	22.9948i	−0.327389	−	0.938758i
$601$	−26.3092	−	15.1896i	−1.07317	−	0.619597i	−0.144126	−	0.989559i	$-0.546037\pi$
$601$	−26.3092	−	15.1896i	−1.07317	−	0.619597i	−0.929047	+	0.369962i	$0.879371\pi$
$602$	3.82711	+	15.0917i	0.155982	+	0.615091i
$603$	0.202976	+	0.223864i	0.00826584	+	0.00911643i
$604$	13.6483	−	4.63330i	0.555342	−	0.188526i
$605$		−	5.06538i		−	0.205937i
$606$	−31.5491	+	0.261472i	−1.28159	+	0.0106216i
$607$		−	5.64393i		−	0.229080i	−0.993419	−	0.114540i	$-0.963461\pi$
$607$		−	5.64393i		−	0.229080i	0.993419	−	0.114540i	$-0.0365394\pi$
$608$	5.55355	+	18.3041i	0.225226	+	0.742331i
$609$	−0.528588	+	7.47177i	−0.0214195	+	0.302771i
$610$	−2.30864	+	1.89470i	−0.0934742	+	0.0767140i
$611$	0.622212	−	1.07770i	0.0251720	−	0.0435992i
$612$	−16.0823	−	26.8188i	−0.650090	−	1.08409i
$613$	21.1016	−	12.1830i	0.852285	−	0.492067i	−0.00913596	−	0.999958i	$-0.502908\pi$
$613$	21.1016	−	12.1830i	0.852285	−	0.492067i	0.861421	+	0.507891i	$0.169575\pi$
$614$	16.5422	−	2.73131i	0.667589	−	0.110227i
$615$	0.209852	+	0.543865i	0.00846204	+	0.0219307i
$616$	42.5647	+	21.7056i	1.71498	+	0.874545i
$617$	16.3173	−	9.42080i	0.656910	−	0.379267i	−0.134189	−	0.990956i	$-0.542843\pi$
$617$	16.3173	−	9.42080i	0.656910	−	0.379267i	0.791099	+	0.611689i	$0.209509\pi$
$618$	−22.9006	+	0.189795i	−0.921196	+	0.00763468i
$619$	44.9229			1.80560			0.902802	−	0.430057i	$-0.141507\pi$
$619$	44.9229			1.80560			0.902802	+	0.430057i	$0.141507\pi$
$620$	−0.488522	+	2.45624i	−0.0196195	+	0.0986448i
$621$	27.5755	+	13.8704i	1.10656	+	0.556599i
$622$	15.0798	−	40.0674i	0.604646	−	1.60656i
$623$	0.0772199	−	0.00655780i	0.00309375	−	0.000262733i
$624$	−1.16498	+	1.90866i	−0.0466364	+	0.0764076i
$625$	24.5664			0.982658
$626$	−16.8309	+	13.8131i	−0.672700	+	0.552082i
$627$	29.1015	+	23.4826i	1.16220	+	0.937804i
$628$	−4.58147	+	23.0352i	−0.182821	+	0.919203i
$629$			35.3745i			1.41047i
$630$	−1.71057	+	0.850186i	−0.0681509	+	0.0338722i
$631$	−1.48161			−0.0589820			−0.0294910	−	0.999565i	$-0.509389\pi$
$631$	−1.48161			−0.0589820			−0.0294910	+	0.999565i	$0.509389\pi$
$632$	−6.54285	−	4.06832i	−0.260261	−	0.161829i
$633$	6.78307	+	17.5794i	0.269603	+	0.698719i
$634$	18.8033	+	22.9114i	0.746776	+	0.909929i
$635$		−	2.60767i		−	0.103482i
$636$	−20.1732	+	16.8378i	−0.799918	+	0.667661i
$637$	−2.22692	+	0.380985i	−0.0882339	+	0.0150952i
$638$	5.19876	−	13.8132i	0.205821	−	0.546870i
$639$	−10.7072	+	33.3460i	−0.423570	+	1.31915i
$640$	1.75375	+	0.794458i	0.0693230	+	0.0314037i
$641$			24.0993i			0.951864i	0.879482	+	0.475932i	$0.157889\pi$
$641$			24.0993i			0.951864i	−0.879482	+	0.475932i	$0.842111\pi$
$642$	−7.16619	−	4.05859i	−0.282827	−	0.160180i
$643$	13.2979	+	23.0326i	0.524417	+	0.908317i	0.999596	+	0.0284279i	$0.00905010\pi$
$643$	13.2979	+	23.0326i	0.524417	+	0.908317i	−0.475179	+	0.879889i	$0.657617\pi$
$644$	18.6510	−	25.3026i	0.734954	−	0.997061i
$645$	0.954493	+	0.770200i	0.0375831	+	0.0303266i
$646$	−24.5903	+	4.06014i	−0.967493	+	0.159744i
$647$	−16.2532	−	28.1514i	−0.638981	−	1.10675i	−0.985657	−	0.168762i	$-0.946023\pi$
$647$	−16.2532	−	28.1514i	−0.638981	−	1.10675i	0.346676	−	0.937985i	$-0.387310\pi$
$648$	−25.2394	−	3.31218i	−0.991499	−	0.130115i
$649$	7.59296	+	4.38380i	0.298050	+	0.172079i
$650$	−1.43945	−	1.75394i	−0.0564601	−	0.0687953i
$651$	−33.6353	−	2.37952i	−1.31827	−	0.0932608i
$652$	−24.2574	−	4.82457i	−0.949993	−	0.188945i
$653$	15.8018			0.618373			0.309186	−	0.951001i	$-0.399943\pi$
$653$	15.8018			0.618373			0.309186	+	0.951001i	$0.399943\pi$
$654$	−2.09229	−	3.55557i	−0.0818148	−	0.139034i
$655$	1.88924			0.0738188
$656$	7.30898	+	3.02712i	0.285368	+	0.118189i
$657$	−9.07639	+	1.96213i	−0.354104	+	0.0765501i
$658$	3.92085	−	13.8835i	0.152851	−	0.541234i
$659$	−11.8297	+	20.4896i	−0.460819	+	0.798162i	−0.999002	−	0.0446658i	$-0.985778\pi$
$659$	−11.8297	+	20.4896i	−0.460819	+	0.798162i	0.538183	+	0.842828i	$0.319111\pi$
$660$	3.70837	−	0.643909i	0.144348	−	0.0250641i
$661$	3.03522	−	5.25716i	0.118056	−	0.204480i	−0.800941	−	0.598743i	$-0.795667\pi$
$661$	3.03522	−	5.25716i	0.118056	−	0.204480i	0.918997	+	0.394264i	$0.129000\pi$
$662$	15.7987	−	12.9659i	0.614032	−	0.503934i
$663$	−2.26744	−	1.82965i	−0.0880602	−	0.0710575i
$664$	−13.9182	−	0.455195i	−0.540130	−	0.0176650i
$665$	0.128827	+	1.51698i	0.00499571	+	0.0588258i
$666$	22.5592	+	17.8968i	0.874150	+	0.693486i
$667$	−8.40903	−	4.85496i	−0.325599	−	0.187985i
$668$	−31.2155	−	27.3741i	−1.20776	−	1.05913i
$669$	−2.42383	+	3.00381i	−0.0937107	+	0.116134i
$670$	0.00853879	−	0.0226878i	0.000329882	−	0.000876504i
$671$	39.6172	+	68.6190i	1.52941	+	2.64901i
$672$	−7.65207	+	24.7678i	−0.295185	+	0.955440i
$673$	−17.3841	+	30.1102i	−0.670110	+	1.16066i	0.307763	+	0.951463i	$0.400420\pi$
$673$	−17.3841	+	30.1102i	−0.670110	+	1.16066i	−0.977873	+	0.209201i	$0.932914\pi$
$674$	14.6343	+	17.8316i	0.563692	+	0.686846i
$675$	11.6070	−	23.0756i	0.446752	−	0.888179i
$676$	5.03117	−	25.2962i	0.193507	−	0.972930i
$677$	−10.5470	+	6.08930i	−0.405353	+	0.234031i	−0.688791	−	0.724960i	$-0.741858\pi$
$677$	−10.5470	+	6.08930i	−0.405353	+	0.234031i	0.283438	+	0.958991i	$0.408525\pi$
$678$	18.2034	+	30.9343i	0.699097	+	1.18802i
$679$	3.99661	+	47.0612i	0.153376	+	1.80604i
$680$	−1.32465	+	2.13036i	−0.0507980	+	0.0816955i
$681$	−25.8090	−	4.04193i	−0.989004	−	0.154887i
$682$	62.1823	+	23.4030i	2.38108	+	0.896148i
$683$	−12.9749	−	22.4732i	−0.496470	−	0.859912i	0.503521	−	0.863983i	$-0.332038\pi$
$683$	−12.9749	−	22.4732i	−0.496470	−	0.859912i	−0.999992	+	0.00407079i	$0.998704\pi$
$684$	−9.85158	+	17.7360i	−0.376685	+	0.678152i
$685$	1.61041			0.0615307
$686$	−23.9387	+	10.6272i	−0.913985	+	0.405747i
$687$	3.78551	−	24.1717i	0.144426	−	0.922207i
$688$	16.5019	−	2.17322i	0.629128	−	0.0828532i
$689$	−1.22412	+	2.12023i	−0.0466351	+	0.0807743i
$690$	−0.0205216	−	2.47612i	−0.000781244	−	0.0942644i
$691$	−17.6212	−	30.5208i	−0.670343	−	1.16107i	−0.977807	−	0.209508i	$-0.932814\pi$
$691$	−17.6212	−	30.5208i	−0.670343	−	1.16107i	0.307464	−	0.951560i	$-0.400520\pi$
$692$	33.6280	−	38.3470i	1.27834	−	1.45773i
$693$	14.8613	+	48.4498i	0.564533	+	1.84046i
$694$	2.89716	−	7.69782i	0.109975	−	0.292205i
$695$	−1.76154	+	1.01703i	−0.0668190	+	0.0385780i
$696$	7.86647	+	1.49690i	0.298178	+	0.0567400i
$697$	−5.15392	+	8.92685i	−0.195219	+	0.338128i
$698$	11.7091	−	31.1113i	0.443195	−	1.17758i
$699$	26.1479	−	32.4046i	0.989006	−	1.22566i
$700$	−21.1736	−	15.6075i	−0.800287	−	0.589907i
$701$	−27.9756			−1.05663			−0.528313	−	0.849050i	$-0.677175\pi$
$701$	−27.9756			−1.05663			−0.528313	+	0.849050i	$0.677175\pi$
$702$	−2.31396	+	0.520343i	−0.0873349	+	0.0196391i
$703$	19.8757	−	11.4753i	0.749627	−	0.432797i
$704$	28.3750	−	42.4720i	1.06942	−	1.60072i
$705$	−0.409106	−	1.06026i	−0.0154078	−	0.0399319i
$706$	17.5176	−	2.89236i	0.659285	−	0.108855i
$707$	−27.9648	+	19.4753i	−1.05173	+	0.732442i
$708$	−1.63861	+	4.46575i	−0.0615829	+	0.167833i
$709$	−23.4378	+	13.5318i	−0.880223	+	0.508197i	−0.870732	−	0.491758i	$-0.836355\pi$
$709$	−23.4378	+	13.5318i	−0.880223	+	0.508197i	−0.00949137	+	0.999955i	$0.503021\pi$
$710$	2.77204	−	0.457695i	0.104033	−	0.0171770i
$711$	−1.72672	−	7.98740i	−0.0647570	−	0.299551i
$712$	0.00270813	−	0.0828044i	0.000101491	−	0.00310323i
$713$	21.8553	−	37.8546i	0.818489	−	1.41766i
$714$	−30.6936	−	14.0987i	−1.14868	−	0.527630i
$715$	0.303700	−	0.175341i	0.0113577	−	0.00655738i
$716$	−28.9915	−	25.4238i	−1.08346	−	0.950131i
$717$	10.7634	+	27.8951i	0.401966	+	1.04176i
$718$	21.3292	+	8.02749i	0.795999	+	0.299583i
$719$	0.764543	−	1.32423i	0.0285127	−	0.0493854i	−0.851417	−	0.524489i	$-0.824256\pi$
$719$	0.764543	−	1.32423i	0.0285127	−	0.0493854i	0.879930	+	0.475104i	$0.157590\pi$
$720$	0.688410	+	1.92256i	0.0256555	+	0.0716496i
$721$	−20.2989	+	14.1365i	−0.755969	+	0.526472i
$722$	−6.78819	−	8.27126i	−0.252630	−	0.307825i
$723$	−29.4397	−	4.61053i	−1.09487	−	0.171467i
$724$	10.0905	−	3.42550i	0.375011	−	0.127308i
$725$	−4.06271	+	7.03681i	−0.150885	+	0.261341i
$726$	−0.604250	−	72.9085i	−0.0224258	−	2.70589i
$727$	−23.8328	−	13.7598i	−0.883908	−	0.510325i	−0.0119631	−	0.999928i	$-0.503808\pi$
$727$	−23.8328	−	13.7598i	−0.883908	−	0.510325i	−0.871945	+	0.489604i	$0.837141\pi$
$728$	0.125602	+	2.41200i	0.00465514	+	0.0893947i
$729$	−16.0964	−	21.6773i	−0.596161	−	0.802865i
$730$	0.472589	+	0.575839i	0.0174913	+	0.0213127i
$731$			21.6871i			0.802125i
$732$	−33.0034	+	27.5467i	−1.21984	+	1.01816i
$733$	44.8553			1.65677			0.828384	−	0.560160i	$-0.189260\pi$
$733$	44.8553			1.65677			0.828384	+	0.560160i	$0.189260\pi$
$734$	−5.80922	−	35.1837i	−0.214422	−	1.29865i
$735$	−1.00634	+	1.80119i	−0.0371195	+	0.0664380i
$736$	−24.5276	−	22.9702i	−0.904101	−	0.846694i
$737$	−0.556964	−	0.321563i	−0.0205160	−	0.0118449i
$738$	3.08538	+	7.80308i	0.113574	+	0.287235i
$739$	−37.1918	+	21.4727i	−1.36812	+	0.789886i	−0.990688	−	0.136150i	$-0.956527\pi$
$739$	−37.1918	+	21.4727i	−1.36812	+	0.789886i	−0.377435	+	0.926036i	$0.623194\pi$
$740$	0.450620	−	2.26567i	0.0165651	−	0.0832876i
$741$	−0.292472	+	1.86753i	−0.0107442	+	0.0686053i
$742$	−7.71372	+	27.3138i	−0.283180	+	1.00272i
$743$	27.4359	−	15.8401i	1.00653	−	0.581118i	0.0963530	−	0.995347i	$-0.469282\pi$
$743$	27.4359	−	15.8401i	1.00653	−	0.581118i	0.910172	+	0.414229i	$0.135949\pi$
$744$	−6.73854	+	35.4121i	−0.247047	+	1.29827i
$745$		−	0.198012i		−	0.00725458i
$746$	−6.10488	−	36.9743i	−0.223516	−	1.35373i
$747$	−9.92126	−	10.9422i	−0.363000	−	0.400354i
$748$	50.0386	+	43.8808i	1.82959	+	1.60444i
$749$	−8.86365	+	0.752734i	−0.323871	+	0.0275043i
$750$	−4.15619	+	0.0344456i	−0.151763	+	0.00125778i
$751$	−6.45078			−0.235392			−0.117696	−	0.993050i	$-0.537551\pi$
$751$	−6.45078			−0.235392			−0.117696	+	0.993050i	$0.537551\pi$
$752$	−14.2489	−	5.90137i	−0.519602	−	0.215201i
$753$	−21.7294	−	3.40303i	−0.791864	−	0.124013i
$754$	0.736112	−	0.121541i	0.0268076	−	0.00442624i
$755$		−	1.22639i		−	0.0446329i
$756$	−24.5197	+	12.4412i	−0.891773	+	0.452482i
$757$		−	9.40505i		−	0.341833i	−0.985286	−	0.170916i	$-0.945327\pi$
$757$		−	9.40505i		−	0.341833i	0.985286	−	0.170916i	$-0.0546728\pi$
$758$	7.64452	+	46.2991i	0.277661	+	1.68166i
$759$	−64.9029	−	10.1644i	−2.35583	−	0.368945i
$760$	1.62668	+	0.0532009i	0.0590060	+	0.00192980i
$761$	8.29376			0.300649			0.150324	−	0.988637i	$-0.451968\pi$
$761$	8.29376			0.300649			0.150324	+	0.988637i	$0.451968\pi$
$762$	−0.311070	−	37.5335i	−0.0112689	−	1.35970i
$763$	−4.03374	−	1.89348i	−0.146031	−	0.0685486i
$764$	−9.23465	+	10.5305i	−0.334098	+	0.380982i
$765$	−2.60070	+	0.562220i	−0.0940287	+	0.0203271i
$766$	36.9655	−	6.10343i	1.33562	−	0.220526i
$767$			0.443204i			0.0160032i
$768$	25.3373	+	11.2258i	0.914283	+	0.405077i
$769$	23.1438	−	13.3621i	0.834588	−	0.481849i	−0.0208331	−	0.999783i	$-0.506632\pi$
$769$	23.1438	−	13.3621i	0.834588	−	0.481849i	0.855421	+	0.517934i	$0.173299\pi$
$770$	2.91308	−	2.83579i	0.104980	−	0.102195i
$771$	5.69928	−	36.3917i	0.205254	−	1.31061i
$772$	1.37099	−	6.89318i	0.0493429	−	0.248091i
$773$	35.0055	−	20.2104i	1.25906	−	0.726919i	0.286169	−	0.958179i	$-0.407618\pi$
$773$	35.0055	−	20.2104i	1.25906	−	0.726919i	0.972892	+	0.231260i	$0.0742848\pi$
$774$	13.8304	+	10.9720i	0.497123	+	0.394381i
$775$	−31.6773	−	18.2889i	−1.13788	−	0.656956i
$776$	50.4646	+	1.65045i	1.81157	+	0.0592477i
$777$	31.0257	+	2.19491i	1.11304	+	0.0787418i
$778$	11.5713	−	1.91056i	0.414853	−	0.0684969i
$779$	6.68759			0.239608
$780$	0.121918	+	0.146069i	0.00436538	+	0.00523012i
$781$		−	74.5381i		−	2.66718i
$782$	33.8460	−	27.7773i	1.21033	−	0.993315i
$783$	4.66277	+	7.09900i	0.166634	+	0.253698i
$784$	8.28480	+	26.7463i	0.295886	+	0.955223i
$785$	1.73065	+	0.999193i	0.0617697	+	0.0356627i
$786$	27.1928	−	0.225368i	0.969935	−	0.00803862i
$787$	−25.2318	+	43.7027i	−0.899416	+	1.55783i	−0.0711736	+	0.997464i	$0.522674\pi$
$787$	−25.2318	+	43.7027i	−0.899416	+	1.55783i	−0.828242	+	0.560370i	$0.810659\pi$
$788$	−8.09910	+	2.74946i	−0.288518	+	0.0979456i
$789$	−27.5660	−	4.31709i	−0.981376	−	0.153693i
$790$	−0.506750	+	0.415888i	−0.0180293	+	0.0147966i
$791$	35.0945	+	16.4737i	1.24782	+	0.585739i
$792$	53.2996	−	9.71048i	1.89392	−	0.345047i
$793$	−2.00266	+	3.46871i	−0.0711166	+	0.123178i
$794$	−12.9213	+	34.3320i	−0.458558	+	1.21840i
$795$	0.804859	+	2.08592i	0.0285454	+	0.0739800i
$796$	−15.7377	+	17.9462i	−0.557809	+	0.636086i
$797$	−2.69364	+	1.55517i	−0.0954135	+	0.0550870i	−0.546948	−	0.837167i	$-0.684210\pi$
$797$	−2.69364	+	1.55517i	−0.0954135	+	0.0550870i	0.451534	+	0.892254i	$0.350877\pi$
$798$	2.03524	+	21.8192i	0.0720466	+	0.772393i
$799$	10.0476	−	17.4029i	0.355457	−	0.615670i
$800$	−19.2218	+	20.5251i	−0.679595	+	0.725672i
$801$	0.0650993	−	0.0590253i	0.00230017	−	0.00208556i
$802$	0.140939	+	0.853601i	0.00497674	+	0.0301417i
$803$	17.1155	−	9.88161i	0.603991	−	0.348715i
$804$	0.120197	−	0.327575i	0.00423901	−	0.0115527i
$805$	−1.52851	−	2.19481i	−0.0538729	−	0.0773570i
$806$	0.547133	+	3.31372i	0.0192719	+	0.116721i
$807$	−4.41778	−	11.4494i	−0.155513	−	0.403037i
$808$	17.1745	+	32.1287i	0.604196	+	1.13029i
$809$	43.5059	−	25.1181i	1.52959	−	0.883106i	0.530206	−	0.847869i	$-0.322115\pi$
$809$	43.5059	−	25.1181i	1.52959	−	0.883106i	0.999379	−	0.0352377i	$-0.0112188\pi$
$810$	−0.957217	+	1.94297i	−0.0336332	+	0.0682691i
$811$	20.6193			0.724042			0.362021	−	0.932170i	$-0.382087\pi$
$811$	20.6193			0.724042			0.362021	+	0.932170i	$0.382087\pi$
$812$	7.92550	−	3.46344i	0.278131	−	0.121543i
$813$	8.13267	−	10.0787i	0.285225	−	0.353474i
$814$	−57.3579	−	21.5873i	−2.01039	−	0.756634i
$815$	−1.05221	+	1.82248i	−0.0368573	+	0.0638388i
$816$	−18.8122	+	30.8213i	−0.658559	+	1.07896i
$817$	12.1852	−	7.03515i	0.426308	−	0.246129i
$818$	1.68839	+	0.635444i	0.0590331	+	0.0222178i
$819$	−1.74541	+	1.87517i	−0.0609895	+	0.0655238i
$820$	0.443814	−	0.506094i	0.0154987	−	0.0176736i
$821$	3.52230	+	6.10081i	0.122929	+	0.212920i	0.920922	−	0.389748i	$-0.127438\pi$
$821$	3.52230	+	6.10081i	0.122929	+	0.212920i	−0.797992	+	0.602668i	$0.794105\pi$
$822$	23.1795	−	0.192107i	0.808478	−	0.00670049i
$823$	−3.41826	+	5.92060i	−0.119153	+	0.206379i	−0.919432	−	0.393248i	$-0.871351\pi$
$823$	−3.41826	+	5.92060i	−0.119153	+	0.206379i	0.800279	+	0.599627i	$0.204685\pi$
$824$	12.4665	+	23.3213i	0.434289	+	0.812437i
$825$	−8.50574	+	54.3118i	−0.296132	+	1.89089i
$826$	1.26298	+	4.98038i	0.0439447	+	0.173290i
$827$	−0.394249			−0.0137094			−0.00685469	−	0.999977i	$-0.502182\pi$
$827$	−0.394249			−0.0137094			−0.00685469	+	0.999977i	$0.502182\pi$
$828$	−0.590755	−	35.6376i	−0.0205302	−	1.23849i
$829$	−27.6622	−	47.9123i	−0.960748	−	1.66406i	−0.720630	−	0.693320i	$-0.756147\pi$
$829$	−27.6622	−	47.9123i	−0.960748	−	1.66406i	−0.240117	−	0.970744i	$-0.577186\pi$
$830$	−0.417367	+	1.10895i	−0.0144870	+	0.0384923i
$831$	8.13635	+	1.27423i	0.282247	+	0.0442025i
$832$	2.57651	+	0.168711i	0.0893245	+	0.00584899i
$833$	−35.9606	+	6.15219i	−1.24596	+	0.213161i
$834$	−25.2334	+	14.8487i	−0.873761	+	0.514168i
$835$	−3.05937	+	1.76633i	−0.105874	+	0.0611262i
$836$	8.42295	−	42.3497i	0.291314	−	1.46469i
$837$	−31.9573	+	20.9902i	−1.10460	+	0.725527i
$838$	−20.0500	+	16.4549i	−0.692614	+	0.568426i
$839$	1.47044	−	2.54687i	0.0507651	−	0.0879278i	−0.839526	−	0.543319i	$-0.817167\pi$
$839$	1.47044	−	2.54687i	0.0507651	−	0.0879278i	0.890291	+	0.455391i	$0.150501\pi$
$840$	1.78627	+	1.29399i	0.0616322	+	0.0446468i
$841$	13.1641	+	22.8009i	0.453935	+	0.786239i
$842$	1.78129	+	0.670408i	0.0613872	+	0.0231038i
$843$	6.06707	−	7.51880i	0.208961	−	0.258961i
$844$	14.3455	−	16.3586i	0.493791	−	0.563085i
$845$	−1.90053	−	1.09727i	−0.0653801	−	0.0377472i
$846$	−6.01494	−	15.2121i	−0.206798	−	0.523003i
$847$	−45.0064	−	64.6254i	−1.54644	−	2.22055i
$848$	28.0326	+	11.6101i	0.962644	+	0.398693i
$849$	11.2503	+	9.07811i	0.386110	+	0.311560i
$850$	−23.2445	−	28.3229i	−0.797280	−	0.971467i
$851$	−20.1597	+	34.9176i	−0.691065	+	1.19696i
$852$	39.8447	−	6.91851i	1.36506	−	0.237024i
$853$	28.0551	−	48.5929i	0.960590	−	1.66379i	0.239566	−	0.970880i	$-0.422995\pi$
$853$	28.0551	−	48.5929i	0.960590	−	1.66379i	0.721024	−	0.692910i	$-0.243672\pi$
$854$	−12.6197	+	44.6856i	−0.431837	+	1.52911i
$855$	1.15955	+	1.27887i	0.0396556	+	0.0437364i
$856$	−0.310851	+	9.50467i	−0.0106247	+	0.324863i
$857$	40.4935			1.38323			0.691616	−	0.722266i	$-0.256899\pi$
$857$	40.4935			1.38323			0.691616	+	0.722266i	$0.256899\pi$
$858$	4.35038	−	2.56000i	0.148520	−	0.0873970i
$859$	19.2248			0.655940			0.327970	−	0.944688i	$-0.393636\pi$
$859$	19.2248			0.655940			0.327970	+	0.944688i	$0.393636\pi$
$860$	0.276262	−	1.38902i	0.00942046	−	0.0473651i
$861$	7.50964	+	5.07421i	0.255928	+	0.172929i
$862$	−2.80719	+	2.30385i	−0.0956131	+	0.0784693i
$863$	−35.7619	−	20.6472i	−1.21735	−	0.702837i	−0.253000	−	0.967466i	$-0.581417\pi$
$863$	−35.7619	−	20.6472i	−1.21735	−	0.702837i	−0.964350	+	0.264629i	$0.914750\pi$
$864$	10.1380	+	27.5902i	0.344901	+	0.938639i
$865$	−2.16986	−	3.75831i	−0.0737776	−	0.127787i
$866$	2.79121	+	16.9050i	0.0948492	+	0.574456i
$867$	−13.6999	−	11.0548i	−0.465275	−	0.375439i
$868$	15.5912	+	35.6779i	0.529201	+	1.21099i
$869$	8.69602	+	15.0619i	0.294992	+	0.510942i
$870$	0.335771	−	0.592866i	0.0113837	−	0.0201000i
$871$		−	0.0325102i		−	0.00110157i
$872$	−2.51544	+	4.04543i	−0.0851834	+	0.136996i
$873$	35.9726	+	39.6743i	1.21749	+	1.34277i
$874$	−26.5866	−	10.0062i	−0.899305	−	0.338464i
$875$	−3.68401	+	2.56562i	−0.124542	+	0.0867337i
$876$	6.87090	+	8.23196i	0.232146	+	0.278132i
$877$			3.21346i			0.108511i	0.998527	+	0.0542553i	$0.0172785\pi$
$877$			3.21346i			0.108511i	−0.998527	+	0.0542553i	$0.982722\pi$
$878$	−2.86188	+	2.34874i	−0.0965839	+	0.0792661i
$879$	−16.7411	−	43.3873i	−0.564663	−	1.46342i
$880$	−2.64590	−	3.44790i	−0.0891932	−	0.116229i
$881$	−6.61687			−0.222928			−0.111464	−	0.993768i	$-0.535554\pi$
$881$	−6.61687			−0.222928			−0.111464	+	0.993768i	$0.535554\pi$
$882$	−14.2699	+	26.0455i	−0.480494	+	0.876998i
$883$			23.6284i			0.795160i	0.917567	+	0.397580i	$0.130150\pi$
$883$			23.6284i			0.795160i	−0.917567	+	0.397580i	$0.869850\pi$
$884$	−0.656274	+	3.29967i	−0.0220729	+	0.110980i
$885$	0.314991	+	0.254173i	0.0105883	+	0.00854392i
$886$	18.6997	+	22.7852i	0.628230	+	0.765485i
$887$	−45.3148			−1.52152			−0.760761	−	0.649032i	$-0.775174\pi$
$887$	−45.3148			−1.52152			−0.760761	+	0.649032i	$0.775174\pi$
$888$	6.21573	−	32.6646i	0.208586	−	1.09615i
$889$	−23.1694	−	33.2693i	−0.777078	−	1.11582i
$890$	−0.00659757	−	0.00248307i	−0.000221151	−	8.32327e-5i
$891$	46.7217	+	33.4532i	1.56523	+	1.12072i
$892$	4.37126	+	0.869401i	0.146360	+	0.0291097i
$893$	−13.0375			−0.436282
$894$	−0.0236209	−	2.85008i	−0.000790000	−	0.0953209i
$895$	−2.84140	+	1.64048i	−0.0949775	+	0.0548353i
$896$	29.4336	−	5.44634i	0.983308	−	0.181949i
$897$	−1.19546	−	3.09822i	−0.0399151	−	0.103446i
$898$	−1.90687	−	11.5490i	−0.0636331	−	0.385395i
$899$	10.4159	−	6.01365i	0.347391	−	0.200566i
$900$	−29.8221	+	0.494353i	−0.994072	+	0.0164784i
$901$	−19.7672	+	34.2377i	−0.658540	+	1.14062i
$902$	−11.3292	−	13.8044i	−0.377222	−	0.459637i
$903$	19.0210	+	1.34563i	0.632979	+	0.0447799i
$904$	21.8849	−	35.1962i	0.727881	−	1.17061i
$905$		−	0.906698i		−	0.0301396i
$906$	−0.146296	−	17.6521i	−0.00486037	−	0.586450i
$907$		−	12.3607i		−	0.410430i	−0.978717	−	0.205215i	$-0.934211\pi$
$907$		−	12.3607i		−	0.410430i	0.978717	−	0.205215i	$-0.0657894\pi$
$908$	9.69680	+	28.5639i	0.321800	+	0.947926i
$909$	−11.8133	+	36.7909i	−0.391823	+	1.22028i
$910$	0.197773	+	0.0558533i	0.00655611	+	0.00185152i
$911$	−35.7920	−	20.6645i	−1.18584	−	0.684646i	−0.228483	−	0.973548i	$-0.573377\pi$
$911$	−35.7920	−	20.6645i	−1.18584	−	0.684646i	−0.957359	+	0.288902i	$0.906710\pi$
$912$	23.4200	+	0.571699i	0.775515	+	0.0189309i
$913$	27.2238	+	15.7176i	0.900975	+	0.520178i
$914$	24.1192	+	29.3887i	0.797793	+	0.972093i
$915$	1.31675	+	3.41258i	0.0435305	+	0.112816i
$916$	−26.7518	+	9.08163i	−0.883903	+	0.300065i
$917$	24.1034	−	16.7861i	0.795966	−	0.554326i
$918$	−37.3662	+	8.40256i	−1.23327	+	0.277326i
$919$	29.3716	−	50.8731i	0.968880	−	1.67815i	0.270072	−	0.962840i	$-0.412953\pi$
$919$	29.3716	−	50.8731i	0.968880	−	1.67815i	0.698808	−	0.715309i	$-0.253714\pi$
$920$	−2.52162	+	1.34793i	−0.0831353	+	0.0444401i
$921$	3.17714	−	20.2870i	0.104690	−	0.668480i
$922$	−7.39309	−	2.78247i	−0.243479	−	0.0916359i
$923$	3.26311	−	1.88396i	0.107407	−	0.0620113i
$924$	41.5911	−	41.1644i	1.36825	−	1.35421i
$925$	29.2196	+	16.8699i	0.960734	+	0.554680i
$926$	−5.00595	−	6.09963i	−0.164506	−	0.200446i
$927$	−8.57495	+	26.7054i	−0.281638	+	0.877121i
$928$	−2.68455	−	8.84812i	−0.0881248	−	0.290454i
$929$	8.48817	+	14.7019i	0.278488	+	0.482355i	0.971009	−	0.239042i	$-0.0768334\pi$
$929$	8.48817	+	14.7019i	0.278488	+	0.482355i	−0.692521	+	0.721397i	$0.743500\pi$
$930$	2.66888	+	1.51153i	0.0875160	+	0.0495649i
$931$	15.1221	+	18.2093i	0.495607	+	0.596787i
$932$	−47.1565	−	9.37898i	−1.54466	−	0.307219i
$933$	−40.8051	−	32.9264i	−1.33590	−	1.07796i
$934$	7.51841	+	2.82964i	0.246010	+	0.0925886i
$935$	4.90418	−	2.83143i	0.160384	−	0.0925977i
$936$	1.77226	+	2.08791i	0.0579280	+	0.0682453i
$937$		−	18.8134i		−	0.614606i	−0.951612	−	0.307303i	$-0.900574\pi$
$937$		−	18.8134i		−	0.614606i	0.951612	−	0.307303i	$-0.0994264\pi$
$938$	−0.0926430	−	0.365324i	−0.00302490	−	0.0119283i
$939$	9.59967	+	24.8791i	0.313273	+	0.811899i
$940$	−0.865215	+	0.986630i	−0.0282202	+	0.0321803i
$941$	32.1229	+	18.5461i	1.04718	+	0.604587i	0.921857	−	0.387530i	$-0.126672\pi$
$941$	32.1229	+	18.5461i	1.04718	+	0.604587i	0.125318	+	0.992117i	$0.460005\pi$
$942$	25.0294	+	14.1754i	0.815501	+	0.461861i
$943$	−10.1747	+	5.87437i	−0.331334	+	0.191296i
$944$	5.44576	−	0.717181i	0.177244	−	0.0233422i
$945$	0.331736	+	2.31587i	0.0107914	+	0.0753353i
$946$	−35.1645	−	13.2345i	−1.14330	−	0.430292i
$947$	−5.53528	−	9.58738i	−0.179872	−	0.311548i	0.761964	−	0.647619i	$-0.224235\pi$
$947$	−5.53528	−	9.58738i	−0.179872	−	0.311548i	−0.941837	+	0.336071i	$0.890902\pi$
$948$	−7.24429	+	6.04653i	−0.235284	+	0.196382i
$949$	0.865191	+	0.499518i	0.0280853	+	0.0162151i
$950$	−8.37332	+	22.2481i	−0.271666	+	0.721823i
$951$	33.8671	−	13.0677i	1.09822	−	0.423750i
$952$	2.02825	+	38.9493i	0.0657358	+	1.26235i
$953$			3.65278i			0.118325i	0.998248	+	0.0591626i	$0.0188430\pi$
$953$			3.65278i			0.118325i	−0.998248	+	0.0591626i	$0.981157\pi$
$954$	11.8336	+	29.9277i	0.383126	+	0.968945i
$955$	0.595870	+	1.03208i	0.0192819	+	0.0333972i
$956$	22.7634	−	25.9578i	0.736222	−	0.839536i
$957$	−14.0675	−	11.3514i	−0.454738	−	0.366937i
$958$	−32.7763	+	5.41175i	−1.05896	+	0.174846i
$959$	20.5461	−	14.3087i	0.663467	−	0.462052i
$960$	1.59751	−	1.73441i	0.0515593	−	0.0559778i
$961$	11.5714	+	20.0422i	0.373270	+	0.646522i
$962$	−0.504684	−	3.05662i	−0.0162717	−	0.0985495i
$963$	−7.47239	+	6.77519i	−0.240794	+	0.218327i
$964$	11.0609	+	32.5821i	0.356247	+	1.04940i
$965$	−0.517891	−	0.299005i	−0.0166715	−	0.00962530i
$966$	−22.2624	−	31.4087i	−0.716282	−	1.01056i
$967$	−20.1117	−	34.8345i	−0.646748	−	1.12020i	−0.983895	−	0.178749i	$-0.942795\pi$
$967$	−20.1117	−	34.8345i	−0.646748	−	1.12020i	0.337146	−	0.941452i	$-0.390538\pi$
$968$	−74.2480	+	39.6894i	−2.38642	+	1.27567i
$969$	−4.72288	+	30.1571i	−0.151721	+	0.968784i
$970$	1.51329	−	4.02085i	0.0485889	−	0.129102i
$971$	−49.8259	−	28.7670i	−1.59899	−	0.923176i	−0.991683	−	0.128707i	$-0.958917\pi$
$971$	−49.8259	−	28.7670i	−1.59899	−	0.923176i	−0.607305	−	0.794469i	$-0.707749\pi$
$972$	−13.5459	+	28.0804i	−0.434486	+	0.900679i
$973$	−13.4378	+	28.6269i	−0.430796	+	0.917737i
$974$	9.70807	+	11.8291i	0.311067	+	0.379028i
$975$	−2.59264	+	1.00038i	−0.0830308	+	0.0320377i
$976$	45.8616	+	18.9942i	1.46799	+	0.607990i
$977$	15.2658	+	8.81370i	0.488396	+	0.281975i	0.723909	−	0.689896i	$-0.242344\pi$
$977$	15.2658	+	8.81370i	0.488396	+	0.281975i	−0.235513	+	0.971871i	$0.575677\pi$
$978$	−14.9276	+	26.3574i	−0.477332	+	0.842817i
$979$	−0.0935101	+	0.161964i	−0.00298860	+	0.00517640i
$980$	2.38158	+	0.0640506i	0.0760768	+	0.00204602i
$981$	−4.93860	+	1.06763i	−0.157677	+	0.0340867i
$982$	−19.0498	−	23.2118i	−0.607904	−	0.740717i
$983$	−14.1814			−0.452318			−0.226159	−	0.974090i	$-0.572617\pi$
$983$	−14.1814			−0.452318			−0.226159	+	0.974090i	$0.572617\pi$
$984$	6.32766	−	7.33741i	0.201719	−	0.233908i
$985$			0.727757i			0.0231883i
$986$	11.8868	−	1.96265i	0.378554	−	0.0625036i
$987$	−14.6400	−	9.89218i	−0.465998	−	0.314871i
$988$	2.06687	−	0.701655i	0.0657558	−	0.0223226i
$989$	−12.3593	+	21.4070i	−0.393004	+	0.680702i
$990$	0.675470	−	4.56000i	0.0214679	−	0.144926i
$991$	9.51754	+	16.4849i	0.302335	+	0.523659i	0.976664	−	0.214771i	$-0.0689006\pi$
$991$	9.51754	+	16.4849i	0.302335	+	0.523659i	−0.674330	+	0.738430i	$0.735567\pi$
$992$	39.8312	−	12.0849i	1.26464	−	0.383697i
$993$	−9.01090	−	23.3532i	−0.285952	−	0.741092i
$994$	31.2997	−	30.4692i	0.992766	−	0.966425i
$995$	1.01548	+	1.75887i	0.0321930	+	0.0557599i
$996$	−5.87508	+	16.0115i	−0.186159	+	0.507343i
$997$	−27.8770			−0.882874			−0.441437	−	0.897292i	$-0.645531\pi$
$997$	−27.8770			−0.882874			−0.441437	+	0.897292i	$0.645531\pi$
$998$	−5.85473	−	35.4593i	−0.185328	−	1.12244i
$999$	29.4778	−	19.3616i	0.932637	−	0.612575i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.y.a.173.7	✓	184
7.3	odd	6		504.2.ca.a.101.58	yes	184
8.5	even	2	inner	504.2.y.a.173.27	yes	184
9.5	odd	6		504.2.ca.a.5.35	yes	184
56.45	odd	6		504.2.ca.a.101.35	yes	184
63.59	even	6	inner	504.2.y.a.437.27	yes	184
72.5	odd	6		504.2.ca.a.5.58	yes	184
504.437	even	6	inner	504.2.y.a.437.7	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.y.a.173.7	✓	184	1.1	even	1	trivial
504.2.y.a.173.27	yes	184	8.5	even	2	inner
504.2.y.a.437.7	yes	184	504.437	even	6	inner
504.2.y.a.437.27	yes	184	63.59	even	6	inner
504.2.ca.a.5.35	yes	184	9.5	odd	6
504.2.ca.a.5.58	yes	184	72.5	odd	6
504.2.ca.a.101.35	yes	184	56.45	odd	6
504.2.ca.a.101.58	yes	184	7.3	odd	6

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:	\( N \)	\(=\)	\( 504 = 2^{3} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	504.y (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.39532 + 0.230384i) q^{2} +(-0.267989 + 1.71119i) q^{3} +(1.89385 - 0.642919i) q^{4} -0.170174i q^{5} +(-0.0203002 - 2.44941i) q^{6} +(-1.51202 - 2.17113i) q^{7} +(-2.49441 + 1.33339i) q^{8} +(-2.85636 - 0.917161i) q^{9} +O(q^{10})\)	\(q+(-1.39532 + 0.230384i) q^{2} +(-0.267989 + 1.71119i) q^{3} +(1.89385 - 0.642919i) q^{4} -0.170174i q^{5} +(-0.0203002 - 2.44941i) q^{6} +(-1.51202 - 2.17113i) q^{7} +(-2.49441 + 1.33339i) q^{8} +(-2.85636 - 0.917161i) q^{9} +(0.0392054 + 0.237448i) q^{10} +6.38481 q^{11} +(0.592628 + 3.41303i) q^{12} +(0.161377 + 0.279513i) q^{13} +(2.60994 + 2.68108i) q^{14} +(0.291201 + 0.0456048i) q^{15} +(3.17331 - 2.43518i) q^{16} +(2.60594 + 4.51361i) q^{17} +(4.19685 + 0.621676i) q^{18} +(1.69070 - 2.92838i) q^{19} +(-0.109408 - 0.322284i) q^{20} +(4.12043 - 2.00552i) q^{21} +(-8.90886 + 1.47096i) q^{22} +5.94042i q^{23} +(-1.61321 - 4.62575i) q^{24} +4.97104 q^{25} +(-0.289568 - 0.352832i) q^{26} +(2.33491 - 4.64200i) q^{27} +(-4.25939 - 3.13968i) q^{28} +(-0.817275 + 1.41556i) q^{29} +(-0.416826 + 0.00345457i) q^{30} +(-6.37237 - 3.67909i) q^{31} +(-3.86677 + 4.12894i) q^{32} +(-1.71106 + 10.9256i) q^{33} +(-4.67598 - 5.69758i) q^{34} +(-0.369471 + 0.257307i) q^{35} +(-5.99918 + 0.0994466i) q^{36} +(5.87796 + 3.39364i) q^{37} +(-1.68442 + 4.47554i) q^{38} +(-0.521548 + 0.201241i) q^{39} +(0.226909 + 0.424484i) q^{40} +(0.988880 + 1.71279i) q^{41} +(-5.28728 + 3.74762i) q^{42} +(3.60361 + 2.08055i) q^{43} +(12.0919 - 4.10491i) q^{44} +(-0.156077 + 0.486080i) q^{45} +(-1.36858 - 8.28880i) q^{46} +(-1.92782 - 3.33909i) q^{47} +(3.31665 + 6.08275i) q^{48} +(-2.42760 + 6.56557i) q^{49} +(-6.93620 + 1.14525i) q^{50} +(-8.42202 + 3.24966i) q^{51} +(0.485327 + 0.425603i) q^{52} +(3.79272 + 6.56919i) q^{53} +(-2.18852 + 7.01501i) q^{54} -1.08653i q^{55} +(6.66655 + 3.39957i) q^{56} +(4.55793 + 3.67788i) q^{57} +(0.814239 - 2.16345i) q^{58} +(1.18922 + 0.686598i) q^{59} +(0.580811 - 0.100850i) q^{60} +(6.20492 + 10.7472i) q^{61} +(9.73910 + 3.66542i) q^{62} +(2.32760 + 7.58830i) q^{63} +(4.44414 - 6.65204i) q^{64} +(0.0475660 - 0.0274622i) q^{65} +(-0.129613 - 15.6390i) q^{66} +(-0.0872326 - 0.0503638i) q^{67} +(7.83713 + 6.87269i) q^{68} +(-10.1652 - 1.59197i) q^{69} +(0.456251 - 0.444146i) q^{70} -11.6743i q^{71} +(8.34787 - 1.52087i) q^{72} +(2.68065 - 1.54768i) q^{73} +(-8.98349 - 3.38104i) q^{74} +(-1.33218 + 8.50641i) q^{75} +(1.31922 - 6.63288i) q^{76} +(-9.65394 - 13.8622i) q^{77} +(0.681365 - 0.400952i) q^{78} +(1.36199 + 2.35903i) q^{79} +(-0.414405 - 0.540016i) q^{80} +(7.31763 + 5.23949i) q^{81} +(-1.77441 - 2.16207i) q^{82} +(4.26383 + 2.46172i) q^{83} +(6.51407 - 6.44724i) q^{84} +(0.768101 - 0.443464i) q^{85} +(-5.50752 - 2.07282i) q^{86} +(-2.20328 - 1.77787i) q^{87} +(-15.9263 + 8.51344i) q^{88} +(-0.0146457 + 0.0253671i) q^{89} +(0.105793 - 0.714196i) q^{90} +(0.362854 - 0.772999i) q^{91} +(3.81921 + 11.2503i) q^{92} +(8.00335 - 9.91839i) q^{93} +(3.45920 + 4.21496i) q^{94} +(-0.498335 - 0.287714i) q^{95} +(-6.02916 - 7.72329i) q^{96} +(-15.4598 - 8.92574i) q^{97} +(1.87469 - 9.72037i) q^{98} +(-18.2373 - 5.85590i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9}+O(q^{10}) \) 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9	\( 184 q - 3 q^{2} + q^{4} + 6 q^{6} - 2 q^{7} - 2 q^{9} - 6 q^{10} - 3 q^{12} - 3 q^{14} - 2 q^{15} + q^{16} - 15 q^{18} - 6 q^{22} - 12 q^{24} - 156 q^{25} + 6 q^{26} - 8 q^{28} - 14 q^{30} - 6 q^{31} - 33 q^{32} - 6 q^{33} - 6 q^{34} + 22 q^{36} - 66 q^{38} + 10 q^{39} - 15 q^{42} + 9 q^{44} + 2 q^{46} - 6 q^{47} - 9 q^{48} - 2 q^{49} + 9 q^{50} + 24 q^{54} + 60 q^{56} + 4 q^{57} + 6 q^{58} + 34 q^{60} - 12 q^{62} - 30 q^{63} - 8 q^{64} - 6 q^{65} - 21 q^{66} - 36 q^{68} + 30 q^{70} + 9 q^{72} - 12 q^{73} - 12 q^{76} + 19 q^{78} + 2 q^{79} + 57 q^{80} + 6 q^{81} + 9 q^{84} + 12 q^{87} - 18 q^{88} + 24 q^{89} + 75 q^{90} - 36 q^{92} - 3 q^{94} + 54 q^{95} - 54 q^{96} + 45 q^{98}+O(q^{100}) \) 184 * q - 3 * q^2 + q^4 + 6 * q^6 - 2 * q^7 - 2 * q^9 - 6 * q^10 - 3 * q^12 - 3 * q^14 - 2 * q^15 + q^16 - 15 * q^18 - 6 * q^22 - 12 * q^24 - 156 * q^25 + 6 * q^26 - 8 * q^28 - 14 * q^30 - 6 * q^31 - 33 * q^32 - 6 * q^33 - 6 * q^34 + 22 * q^36 - 66 * q^38 + 10 * q^39 - 15 * q^42 + 9 * q^44 + 2 * q^46 - 6 * q^47 - 9 * q^48 - 2 * q^49 + 9 * q^50 + 24 * q^54 + 60 * q^56 + 4 * q^57 + 6 * q^58 + 34 * q^60 - 12 * q^62 - 30 * q^63 - 8 * q^64 - 6 * q^65 - 21 * q^66 - 36 * q^68 + 30 * q^70 + 9 * q^72 - 12 * q^73 - 12 * q^76 + 19 * q^78 + 2 * q^79 + 57 * q^80 + 6 * q^81 + 9 * q^84 + 12 * q^87 - 18 * q^88 + 24 * q^89 + 75 * q^90 - 36 * q^92 - 3 * q^94 + 54 * q^95 - 54 * q^96 + 45 * q^98

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