LMFDB - Embedded newform 504.2.bt.a.11.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [504,2,Mod(11,504)]

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([3, 3, 1, 4]))

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

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

chi := DirichletCharacter("504.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 504 = 2^{3} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	504.bt (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			11.1
Character	$\chi$	$=$	504.11
Dual form			504.2.bt.a.275.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.41347 + 0.0459458i) q^{2} +(1.18561 - 1.26267i) q^{3} +(1.99578 - 0.129886i) q^{4} +(-0.120967 + 0.209521i) q^{5} +(-1.61780 + 1.83922i) q^{6} +(2.21818 + 1.44212i) q^{7} +(-2.81500 + 0.275287i) q^{8} +(-0.188680 - 2.99406i) q^{9} +O(q^{10})$	\(q+(-1.41347 + 0.0459458i) q^{2} +(1.18561 - 1.26267i) q^{3} +(1.99578 - 0.129886i) q^{4} +(-0.120967 + 0.209521i) q^{5} +(-1.61780 + 1.83922i) q^{6} +(2.21818 + 1.44212i) q^{7} +(-2.81500 + 0.275287i) q^{8} +(-0.188680 - 2.99406i) q^{9} +(0.161356 - 0.301709i) q^{10} +(0.676277 - 0.390449i) q^{11} +(2.20220 - 2.67401i) q^{12} +(2.01156 - 1.16138i) q^{13} +(-3.20158 - 1.93647i) q^{14} +(0.121137 + 0.401151i) q^{15} +(3.96626 - 0.518446i) q^{16} +(1.60652 + 0.927527i) q^{17} +(0.404257 + 4.22334i) q^{18} +(0.736926 + 1.27639i) q^{19} +(-0.214209 + 0.433869i) q^{20} +(4.45080 - 1.09105i) q^{21} +(-0.937955 + 0.582958i) q^{22} +(-0.678236 + 1.17474i) q^{23} +(-2.98988 + 3.88080i) q^{24} +(2.47073 + 4.27944i) q^{25} +(-2.78992 + 1.73399i) q^{26} +(-4.00422 - 3.31153i) q^{27} +(4.61430 + 2.59003i) q^{28} +(3.12151 - 5.40661i) q^{29} +(-0.189654 - 0.561447i) q^{30} -6.53200i q^{31} +(-5.58236 + 0.915039i) q^{32} +(0.308789 - 1.31683i) q^{33} +(-2.31338 - 1.23722i) q^{34} +(-0.570479 + 0.290306i) q^{35} +(-0.765449 - 5.95097i) q^{36} +(-4.37567 + 2.52629i) q^{37} +(-1.10027 - 1.77028i) q^{38} +(0.918482 - 3.91688i) q^{39} +(0.282843 - 0.623102i) q^{40} +(-8.06895 + 4.65861i) q^{41} +(-6.24093 + 1.74665i) q^{42} +(3.79313 - 6.56990i) q^{43} +(1.29898 - 0.867087i) q^{44} +(0.650142 + 0.322650i) q^{45} +(0.904690 - 1.69162i) q^{46} +8.87176 q^{47} +(4.04779 - 5.62276i) q^{48} +(2.84060 + 6.39773i) q^{49} +(-3.68892 - 5.93532i) q^{50} +(3.07586 - 0.928831i) q^{51} +(3.86379 - 2.57912i) q^{52} +(1.55103 - 2.68646i) q^{53} +(5.81198 + 4.49677i) q^{54} +0.188925i q^{55} +(-6.64116 - 3.44892i) q^{56} +(2.48537 + 0.582803i) q^{57} +(-4.16374 + 7.78548i) q^{58} -6.84930i q^{59} +(0.293866 + 0.784874i) q^{60} +0.293767i q^{61} +(0.300117 + 9.23276i) q^{62} +(3.89926 - 6.91345i) q^{63} +(7.84843 - 1.54986i) q^{64} +0.561952i q^{65} +(-0.375960 + 1.87549i) q^{66} -5.95678 q^{67} +(3.32674 + 1.64247i) q^{68} +(0.679190 + 2.24917i) q^{69} +(0.793015 - 0.436549i) q^{70} -3.86477 q^{71} +(1.35536 + 8.37634i) q^{72} +(5.04788 - 8.74318i) q^{73} +(6.06879 - 3.77187i) q^{74} +(8.33284 + 1.95400i) q^{75} +(1.63653 + 2.45168i) q^{76} +(2.06317 + 0.109186i) q^{77} +(-1.11828 + 5.57858i) q^{78} +7.42152i q^{79} +(-0.371161 + 0.893729i) q^{80} +(-8.92880 + 1.12984i) q^{81} +(11.1911 - 6.95552i) q^{82} +(5.15945 + 2.97881i) q^{83} +(8.74110 - 2.75558i) q^{84} +(-0.388672 + 0.224400i) q^{85} +(-5.05961 + 9.46062i) q^{86} +(-3.12590 - 10.3515i) q^{87} +(-1.79623 + 1.28528i) q^{88} +(-10.6484 + 6.14786i) q^{89} +(-0.933779 - 0.426184i) q^{90} +(6.13684 + 0.324771i) q^{91} +(-1.20103 + 2.43261i) q^{92} +(-8.24777 - 7.74437i) q^{93} +(-12.5399 + 0.407620i) q^{94} -0.356575 q^{95} +(-5.46308 + 8.13356i) q^{96} +(-4.20017 + 7.27491i) q^{97} +(-4.30905 - 8.91247i) q^{98} +(-1.29663 - 1.95114i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	$ 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) $ 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

Display 100 coefficients 10 coefficients

Character values

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

$n$	$73$	$127$	$253$	$281$
$\chi(n)$	$e\left(\frac{2}{3}\right)$	$-1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	−1.41347	+	0.0459458i	−0.999472	+	0.0324886i
$2$	−1.41347	+	0.0459458i	−0.999472	+	0.0324886i
$3$	1.18561	−	1.26267i	0.684510	−	0.729004i
$3$	1.18561	−	1.26267i	0.684510	−	0.729004i
$4$	1.99578	−	0.129886i	0.997889	−	0.0649428i
$5$	−0.120967	+	0.209521i	−0.0540981	+	0.0937006i	−0.891806	−	0.452418i	$-0.850562\pi$
$5$	−0.120967	+	0.209521i	−0.0540981	+	0.0937006i	0.837708	+	0.546118i	$0.183895\pi$
$6$	−1.61780	+	1.83922i	−0.660464	+	0.750858i
$7$	2.21818	+	1.44212i	0.838391	+	0.545069i
$7$	2.21818	+	1.44212i	0.838391	+	0.545069i
$8$	−2.81500	+	0.275287i	−0.995252	+	0.0973285i
$9$	−0.188680	−	2.99406i	−0.0628933	−	0.998020i
$10$	0.161356	−	0.301709i	0.0510253	−	0.0954087i
$11$	0.676277	−	0.390449i	0.203905	−	0.117725i	−0.394571	−	0.918866i	$-0.629107\pi$
$11$	0.676277	−	0.390449i	0.203905	−	0.117725i	0.598476	+	0.801141i	$0.295773\pi$
$12$	2.20220	−	2.67401i	0.635721	−	0.771919i
$13$	2.01156	−	1.16138i	0.557907	−	0.322108i	−0.194398	−	0.980923i	$-0.562275\pi$
$13$	2.01156	−	1.16138i	0.557907	−	0.322108i	0.752305	+	0.658815i	$0.228942\pi$
$14$	−3.20158	−	1.93647i	−0.855657	−	0.517543i
$15$	0.121137	+	0.401151i	0.0312775	+	0.103577i
$16$	3.96626	−	0.518446i	0.991565	−	0.129611i
$17$	1.60652	+	0.927527i	0.389639	+	0.224958i	0.682004	−	0.731349i	$-0.261109\pi$
$17$	1.60652	+	0.927527i	0.389639	+	0.224958i	−0.292365	+	0.956307i	$0.594442\pi$
$18$	0.404257	+	4.22334i	0.0952844	+	0.995450i
$19$	0.736926	+	1.27639i	0.169063	+	0.292825i	0.938091	−	0.346390i	$-0.112593\pi$
$19$	0.736926	+	1.27639i	0.169063	+	0.292825i	−0.769028	+	0.639215i	$0.779259\pi$
$20$	−0.214209	+	0.433869i	−0.0478987	+	0.0970161i
$21$	4.45080	−	1.09105i	0.971244	−	0.238086i
$22$	−0.937955	+	0.582958i	−0.199973	+	0.124287i
$23$	−0.678236	+	1.17474i	−0.141422	+	0.244950i	−0.928032	−	0.372500i	$-0.878501\pi$
$23$	−0.678236	+	1.17474i	−0.141422	+	0.244950i	0.786610	+	0.617450i	$0.211834\pi$
$24$	−2.98988	+	3.88080i	−0.610307	+	0.792165i
$25$	2.47073	+	4.27944i	0.494147	+	0.855887i
$26$	−2.78992	+	1.73399i	−0.547148	+	0.340063i
$27$	−4.00422	−	3.31153i	−0.770612	−	0.637305i
$28$	4.61430	+	2.59003i	0.872020	+	0.489471i
$29$	3.12151	−	5.40661i	0.579649	−	1.00398i	−0.415870	−	0.909424i	$-0.636523\pi$
$29$	3.12151	−	5.40661i	0.579649	−	1.00398i	0.995519	−	0.0945578i	$-0.0301437\pi$
$30$	−0.189654	−	0.561447i	−0.0346260	−	0.102506i
$31$		−	6.53200i		−	1.17318i	−0.809884	−	0.586591i	$-0.800470\pi$
$31$		−	6.53200i		−	1.17318i	0.809884	−	0.586591i	$-0.199530\pi$
$32$	−5.58236	+	0.915039i	−0.986831	+	0.161758i
$33$	0.308789	−	1.31683i	0.0537532	−	0.229231i
$34$	−2.31338	−	1.23722i	−0.396742	−	0.212181i
$35$	−0.570479	+	0.290306i	−0.0964286	+	0.0490706i
$36$	−0.765449	−	5.95097i	−0.127575	−	0.991829i
$37$	−4.37567	+	2.52629i	−0.719355	+	0.415320i	−0.814515	−	0.580142i	$-0.802997\pi$
$37$	−4.37567	+	2.52629i	−0.719355	+	0.415320i	0.0951601	+	0.995462i	$0.469664\pi$
$38$	−1.10027	−	1.77028i	−0.178487	−	0.287178i
$39$	0.918482	−	3.91688i	0.147075	−	0.627202i
$40$	0.282843	−	0.623102i	0.0447215	−	0.0985210i
$41$	−8.06895	+	4.65861i	−1.26016	+	0.727553i	−0.973105	−	0.230362i	$-0.926009\pi$
$41$	−8.06895	+	4.65861i	−1.26016	+	0.727553i	−0.287053	+	0.957915i	$0.592676\pi$
$42$	−6.24093	+	1.74665i	−0.962996	+	0.269515i
$43$	3.79313	−	6.56990i	0.578448	−	1.00190i	−0.417210	−	0.908810i	$-0.636992\pi$
$43$	3.79313	−	6.56990i	0.578448	−	1.00190i	0.995658	−	0.0930905i	$-0.0296746\pi$
$44$	1.29898	−	0.867087i	0.195829	−	0.130718i
$45$	0.650142	+	0.322650i	0.0969175	+	0.0480978i
$46$	0.904690	−	1.69162i	0.133389	−	0.249415i
$47$	8.87176			1.29408			0.647040	−	0.762456i	$-0.276007\pi$
$47$	8.87176			1.29408			0.647040	+	0.762456i	$0.276007\pi$
$48$	4.04779	−	5.62276i	0.584248	−	0.811575i
$49$	2.84060	+	6.39773i	0.405800	+	0.913962i
$50$	−3.68892	−	5.93532i	−0.521692	−	0.839381i
$51$	3.07586	−	0.928831i	0.430707	−	0.130062i
$52$	3.86379	−	2.57912i	0.535811	−	0.357660i
$53$	1.55103	−	2.68646i	0.213050	−	0.369014i	−0.739617	−	0.673028i	$-0.764994\pi$
$53$	1.55103	−	2.68646i	0.213050	−	0.369014i	0.952668	+	0.304014i	$0.0983268\pi$
$54$	5.81198	+	4.49677i	0.790910	+	0.611932i
$55$			0.188925i			0.0254747i
$56$	−6.64116	−	3.44892i	−0.887462	−	0.460881i
$57$	2.48537	+	0.582803i	0.329195	+	0.0771942i
$58$	−4.16374	+	7.78548i	−0.546725	+	1.02228i
$59$		−	6.84930i		−	0.891703i	−0.895107	−	0.445852i	$-0.852901\pi$
$59$		−	6.84930i		−	0.891703i	0.895107	−	0.445852i	$-0.147099\pi$
$60$	0.293866	+	0.784874i	0.0379380	+	0.101327i
$61$			0.293767i			0.0376130i	0.999823	+	0.0188065i	$0.00598665\pi$
$61$			0.293767i			0.0376130i	−0.999823	+	0.0188065i	$0.994013\pi$
$62$	0.300117	+	9.23276i	0.0381150	+	1.17256i
$63$	3.89926	−	6.91345i	0.491260	−	0.871013i
$64$	7.84843	−	1.54986i	0.981054	−	0.193733i
$65$			0.561952i			0.0697016i
$66$	−0.375960	+	1.87549i	−0.0462775	+	0.230857i
$67$	−5.95678			−0.727736			−0.363868	−	0.931450i	$-0.618544\pi$
$67$	−5.95678			−0.727736			−0.363868	+	0.931450i	$0.618544\pi$
$68$	3.32674	+	1.64247i	0.403426	+	0.199179i
$69$	0.679190	+	2.24917i	0.0817649	+	0.270768i
$70$	0.793015	−	0.436549i	0.0947835	−	0.0521775i
$71$	−3.86477			−0.458664			−0.229332	−	0.973348i	$-0.573654\pi$
$71$	−3.86477			−0.458664			−0.229332	+	0.973348i	$0.573654\pi$
$72$	1.35536	+	8.37634i	0.159731	+	0.987161i
$73$	5.04788	−	8.74318i	0.590810	−	1.02331i	−0.403314	−	0.915062i	$-0.632142\pi$
$73$	5.04788	−	8.74318i	0.590810	−	1.02331i	0.994124	−	0.108251i	$-0.0345249\pi$
$74$	6.06879	−	3.77187i	0.705482	−	0.438471i
$75$	8.33284	+	1.95400i	0.962193	+	0.225628i
$76$	1.63653	+	2.45168i	0.187723	+	0.281227i
$77$	2.06317	+	0.109186i	0.235120	+	0.0124429i
$78$	−1.11828	+	5.57858i	−0.126620	+	0.631649i
$79$			7.42152i			0.834987i	0.908680	+	0.417493i	$0.137091\pi$
$79$			7.42152i			0.834987i	−0.908680	+	0.417493i	$0.862909\pi$
$80$	−0.371161	+	0.893729i	−0.0414971	+	0.0999219i
$81$	−8.92880	+	1.12984i	−0.992089	+	0.125538i
$82$	11.1911	−	6.95552i	1.23586	−	0.768109i
$83$	5.15945	+	2.97881i	0.566324	+	0.326967i	0.755680	−	0.654941i	$-0.227307\pi$
$83$	5.15945	+	2.97881i	0.566324	+	0.326967i	−0.189356	+	0.981908i	$0.560640\pi$
$84$	8.74110	−	2.75558i	0.953732	−	0.300659i
$85$	−0.388672	+	0.224400i	−0.0421574	+	0.0243396i
$86$	−5.05961	+	9.46062i	−0.545592	+	1.02016i
$87$	−3.12590	−	10.3515i	−0.335131	−	1.10980i
$88$	−1.79623	+	1.28528i	−0.191479	+	0.137012i
$89$	−10.6484	+	6.14786i	−1.12873	+	0.651671i	−0.943615	−	0.331046i	$-0.892599\pi$
$89$	−10.6484	+	6.14786i	−1.12873	+	0.651671i	−0.185113	+	0.982717i	$0.559265\pi$
$90$	−0.933779	−	0.426184i	−0.0984289	−	0.0449237i
$91$	6.13684	+	0.324771i	0.643315	+	0.0340452i
$92$	−1.20103	+	2.43261i	−0.125216	+	0.253617i
$93$	−8.24777	−	7.74437i	−0.855254	−	0.803054i
$94$	−12.5399	+	0.407620i	−1.29340	+	0.0420428i
$95$	−0.356575			−0.0365838
$96$	−5.46308	+	8.13356i	−0.557573	+	0.830128i
$97$	−4.20017	+	7.27491i	−0.426463	+	0.738655i	−0.996556	−	0.0829251i	$-0.973574\pi$
$97$	−4.20017	+	7.27491i	−0.426463	+	0.738655i	0.570093	+	0.821580i	$0.306907\pi$
$98$	−4.30905	−	8.91247i	−0.435279	−	0.900295i
$99$	−1.29663	−	1.95114i	−0.130316	−	0.196097i
$100$	5.48687	+	8.21989i	0.548687	+	0.821989i
$101$	7.37019	+	12.7655i	0.733362	+	1.27022i	0.955438	+	0.295190i	$0.0953831\pi$
$101$	7.37019	+	12.7655i	0.733362	+	1.27022i	−0.222077	+	0.975029i	$0.571284\pi$
$102$	−4.30496	+	1.45419i	−0.426254	+	0.143987i
$103$	−5.32439	−	3.07404i	−0.524628	−	0.302894i	0.214198	−	0.976790i	$-0.431286\pi$
$103$	−5.32439	−	3.07404i	−0.524628	−	0.302894i	−0.738826	+	0.673896i	$0.764619\pi$
$104$	−5.34283	+	3.82303i	−0.523908	+	0.374879i
$105$	−0.309803	+	1.06452i	−0.0302336	+	0.103886i
$106$	−2.06890	+	3.86849i	−0.200949	+	0.375741i
$107$	7.59732	−	4.38632i	0.734461	−	0.424041i	−0.0855911	−	0.996330i	$-0.527278\pi$
$107$	7.59732	−	4.38632i	0.734461	−	0.424041i	0.820052	+	0.572289i	$0.193945\pi$
$108$	−8.42165	−	6.08900i	−0.810373	−	0.585914i
$109$	−12.7973	−	7.38855i	−1.22576	−	0.707694i	−0.259622	−	0.965710i	$-0.583598\pi$
$109$	−12.7973	−	7.38855i	−1.22576	−	0.707694i	−0.966141	+	0.258016i	$0.916931\pi$
$110$	−0.00868032	−	0.267040i	−0.000827636	−	0.0254613i
$111$	−1.99794	+	8.52022i	−0.189636	+	0.808703i
$112$	9.54552	+	4.56980i	0.901967	+	0.431806i
$113$	−10.4201	+	6.01602i	−0.980237	+	0.565940i	−0.902342	−	0.431022i	$-0.858153\pi$
$113$	−10.4201	+	6.01602i	−0.980237	+	0.565940i	−0.0778952	+	0.996962i	$0.524820\pi$
$114$	−3.53977	−	0.709581i	−0.331530	−	0.0664584i
$115$	−0.164088	−	0.284209i	−0.0153013	−	0.0265027i
$116$	5.52759	−	11.1958i	0.513224	−	1.03951i
$117$	−3.85677	−	5.80361i	−0.356559	−	0.536544i
$118$	0.314696	+	9.68127i	0.0289702	+	0.891233i
$119$	2.22595	+	4.37421i	0.204052	+	0.400983i
$120$	−0.451432	−	1.09589i	−0.0412099	−	0.100041i
$121$	−5.19510	+	8.99818i	−0.472282	+	0.818016i
$122$	−0.0134973	−	0.415230i	−0.00122199	−	0.0375931i
$123$	−3.68429	+	15.7117i	−0.332202	+	1.41668i
$124$	−0.848412	−	13.0364i	−0.0761897	−	1.17070i
$125$	−2.40518			−0.215126
$126$	−5.19383	+	9.95109i	−0.462703	+	0.886513i
$127$			6.43759i			0.571244i	0.958342	+	0.285622i	$0.0922002\pi$
$127$			6.43759i			0.571244i	−0.958342	+	0.285622i	$0.907800\pi$
$128$	−11.0223	+	2.55128i	−0.974242	+	0.225504i
$129$	−3.79847	−	12.5788i	−0.334437	−	1.10750i
$130$	−0.0258193	−	0.794301i	−0.00226450	−	0.0696648i
$131$	0.162959	+	0.0940844i	0.0142378	+	0.00822019i	0.507102	−	0.861886i	$-0.330717\pi$
$131$	0.162959	+	0.0940844i	0.0142378	+	0.00822019i	−0.492864	+	0.870106i	$0.664050\pi$
$132$	0.445236	−	2.66821i	0.0387529	−	0.232238i
$133$	−0.206076	+	3.89400i	−0.0178691	+	0.337653i
$134$	8.41971	−	0.273689i	0.727352	−	0.0236431i
$135$	1.17821	−	0.438381i	0.101404	−	0.0377298i
$136$	−4.77770	−	2.16873i	−0.409684	−	0.185967i
$137$	−15.1305	+	8.73559i	−1.29268	+	0.746332i	−0.979129	−	0.203238i	$-0.934853\pi$
$137$	−15.1305	+	8.73559i	−1.29268	+	0.746332i	−0.313555	+	0.949570i	$0.601520\pi$
$138$	−1.06335	−	3.14792i	−0.0905186	−	0.267969i
$139$	−7.63252	−	13.2199i	−0.647382	−	1.12130i	−0.983746	−	0.179566i	$-0.942531\pi$
$139$	−7.63252	−	13.2199i	−0.647382	−	1.12130i	0.336364	−	0.941732i	$-0.390803\pi$
$140$	−1.10084	+	0.653483i	−0.0930382	+	0.0552294i
$141$	10.5184	−	11.2021i	0.885810	−	0.943389i
$142$	5.46272	−	0.177570i	0.458422	−	0.0149013i
$143$	0.906915	−	1.57082i	0.0758401	−	0.131359i
$144$	−2.30061	−	11.7774i	−0.191718	−	0.981450i
$145$	0.755198	+	1.30804i	0.0627158	+	0.108627i
$146$	−6.73330	+	12.5901i	−0.557252	+	1.04197i
$147$	11.4461	+	3.99844i	0.944056	+	0.329786i
$148$	−8.40473	+	5.61025i	−0.690865	+	0.461160i
$149$	−4.74084	+	8.21137i	−0.388384	+	0.672702i	−0.992232	−	0.124398i	$-0.960300\pi$
$149$	−4.74084	+	8.21137i	−0.388384	+	0.672702i	0.603848	+	0.797099i	$0.293633\pi$
$150$	−11.8680	−	2.37905i	−0.969016	−	0.194249i
$151$	−16.8359	+	9.72021i	−1.37009	+	0.791020i	−0.990938	−	0.134316i	$-0.957116\pi$
$151$	−16.8359	+	9.72021i	−1.37009	+	0.791020i	−0.379148	+	0.925336i	$0.623783\pi$
$152$	−2.42582	−	3.39018i	−0.196760	−	0.274980i
$153$	2.47395	−	4.98503i	0.200007	−	0.403016i
$154$	−2.92124	−	0.0595372i	−0.235400	−	0.00479764i
$155$	1.36859	+	0.790156i	0.109928	+	0.0634668i
$156$	1.32434	−	7.93651i	0.106032	−	0.635430i
$157$			14.2277i			1.13549i	0.823203	+	0.567747i	$0.192185\pi$
$157$			14.2277i			1.13549i	−0.823203	+	0.567747i	$0.807815\pi$
$158$	−0.340988	−	10.4901i	−0.0271275	−	0.834546i
$159$	−1.55321	−	5.14353i	−0.123178	−	0.407908i
$160$	0.483561	−	1.28031i	0.0382288	−	0.101217i
$161$	−3.19856	+	1.62768i	−0.252082	+	0.128279i
$162$	12.5687	−	2.00723i	0.987487	−	0.157703i
$163$	5.20730	+	9.01931i	0.407867	+	0.706447i	0.994651	−	0.103297i	$-0.0329393\pi$
$163$	5.20730	+	9.01931i	0.407867	+	0.706447i	−0.586783	+	0.809744i	$0.699606\pi$
$164$	−15.4987	+	10.3456i	−1.21025	+	0.807855i
$165$	0.238551	+	0.223991i	0.0185712	+	0.0174377i
$166$	−7.42958	−	3.97340i	−0.576647	−	0.308395i
$167$	7.41662	+	12.8460i	0.573915	+	0.994050i	0.996159	+	0.0875677i	$0.0279094\pi$
$167$	7.41662	+	12.8460i	0.573915	+	0.994050i	−0.422243	+	0.906482i	$0.638757\pi$
$168$	−12.2286	+	4.29654i	−0.943460	+	0.331485i
$169$	−3.80241	+	6.58597i	−0.292493	+	0.506613i
$170$	0.539065	−	0.335040i	0.0413444	−	0.0256964i
$171$	3.68256	−	2.44723i	0.281612	−	0.187145i
$172$	6.71692	−	13.6047i	0.512160	−	1.03735i
$173$	22.2667			1.69291			0.846454	−	0.532462i	$-0.178733\pi$
$173$	22.2667			1.69291			0.846454	+	0.532462i	$0.178733\pi$
$174$	4.89396	+	14.4879i	0.371010	+	1.09833i
$175$	−0.690924	+	13.0556i	−0.0522289	+	0.986913i
$176$	2.47986	−	1.89923i	0.186927	−	0.143160i
$177$	−8.64842	−	8.12057i	−0.650055	−	0.610380i
$178$	14.7687	−	9.17904i	1.10696	−	0.687998i
$179$	−3.23440	−	1.86738i	−0.241751	−	0.139575i	0.374230	−	0.927336i	$-0.377907\pi$
$179$	−3.23440	−	1.86738i	−0.241751	−	0.139575i	−0.615981	+	0.787761i	$0.711240\pi$
$180$	1.33945	+	0.559494i	0.0998365	+	0.0417022i
$181$			11.4683i			0.852430i	0.904622	+	0.426215i	$0.140153\pi$
$181$			11.4683i			0.852430i	−0.904622	+	0.426215i	$0.859847\pi$
$182$	−8.68914	−	0.177091i	−0.644082	−	0.0131269i
$183$	0.370931	+	0.348292i	0.0274200	+	0.0257465i
$184$	1.58584	−	3.49360i	0.116910	−	0.257552i
$185$		−	1.22239i		−	0.0898720i
$186$	12.0138	+	10.5675i	0.880892	+	0.774844i
$187$	1.44861			0.105933
$188$	17.7061	−	1.15231i	1.29135	−	0.0840411i
$189$	−4.10644	−	13.1201i	−0.298699	−	0.954347i
$190$	0.504007	−	0.0163831i	0.0365645	−	0.00118856i
$191$	22.0943			1.59869			0.799344	−	0.600874i	$-0.205181\pi$
$191$	22.0943			1.59869			0.799344	+	0.600874i	$0.205181\pi$
$192$	7.34818	−	11.7475i	0.530309	−	0.847804i
$193$	7.38769			0.531778			0.265889	−	0.964004i	$-0.414335\pi$
$193$	7.38769			0.531778			0.265889	+	0.964004i	$0.414335\pi$
$194$	5.60255	−	10.4758i	0.402240	−	0.752120i
$195$	0.709561	+	0.666254i	0.0508127	+	0.0477114i
$196$	6.50019	+	12.3995i	0.464299	+	0.885679i
$197$	−12.3506			−0.879941			−0.439970	−	0.898012i	$-0.645011\pi$
$197$	−12.3506			−0.879941			−0.439970	+	0.898012i	$0.645011\pi$
$198$	1.92239	+	2.69830i	0.136618	+	0.191760i
$199$	−19.1655	−	11.0652i	−1.35860	−	0.784390i	−0.369167	−	0.929363i	$-0.620357\pi$
$199$	−19.1655	−	11.0652i	−1.35860	−	0.784390i	−0.989436	+	0.144973i	$0.953690\pi$
$200$	−8.13318	−	11.3664i	−0.575103	−	0.803729i
$201$	−7.06239	+	7.52146i	−0.498142	+	0.530523i
$202$	−11.0040	−	17.7051i	−0.774242	−	1.24572i
$203$	14.7210	−	7.49123i	1.03321	−	0.525781i
$204$	6.01810	−	2.25325i	0.421351	−	0.157759i
$205$		−	2.25415i		−	0.157437i
$206$	7.66709	+	4.10042i	0.534191	+	0.285690i
$207$	3.64521	+	1.80903i	0.253360	+	0.125736i
$208$	7.37627	−	5.64920i	0.511452	−	0.391702i
$209$	0.996732	+	0.575464i	0.0689454	+	0.0398057i
$210$	0.388986	−	1.51889i	0.0268426	−	0.104814i
$211$	−11.6116	−	20.1119i	−0.799377	−	1.38456i	−0.920022	−	0.391866i	$-0.871830\pi$
$211$	−11.6116	−	20.1119i	−0.799377	−	1.38456i	0.120646	−	0.992696i	$-0.461504\pi$
$212$	2.74658	−	5.56304i	0.188636	−	0.382071i
$213$	−4.58209	+	4.87993i	−0.313960	+	0.334368i
$214$	−10.5370	+	6.54898i	−0.720297	+	0.447679i
$215$	0.917688	+	1.58948i	0.0625858	+	0.108402i
$216$	12.1835	+	8.21966i	0.828981	+	0.559277i
$217$	9.41990	−	14.4891i	0.639464	−	0.983585i
$218$	18.4281	+	9.85548i	1.24811	+	0.667498i
$219$	−5.05498	−	16.7398i	−0.341584	−	1.13117i
$220$	0.0245387	+	0.377053i	0.00165440	+	0.0254209i
$221$	4.30883			0.289843
$222$	2.43255	−	12.1348i	0.163262	−	0.814437i
$223$	−6.05720	−	3.49713i	−0.405620	−	0.234185i	0.283286	−	0.959035i	$-0.408575\pi$
$223$	−6.05720	−	3.49713i	−0.405620	−	0.234185i	−0.688906	+	0.724851i	$0.741909\pi$
$224$	−13.7022	−	6.02069i	−0.915519	−	0.402274i
$225$	12.3467	−	8.20497i	0.823114	−	0.546998i
$226$	14.4520	−	8.98221i	0.961333	−	0.597488i
$227$	21.3438	−	12.3228i	1.41664	−	0.817896i	0.420636	−	0.907230i	$-0.361807\pi$
$227$	21.3438	−	12.3228i	1.41664	−	0.817896i	0.996002	+	0.0893336i	$0.0284737\pi$
$228$	5.03595	+	0.840332i	0.333514	+	0.0556524i
$229$	−6.54074	−	3.77630i	−0.432224	−	0.249545i	0.268070	−	0.963400i	$-0.413614\pi$
$229$	−6.54074	−	3.77630i	−0.432224	−	0.249545i	−0.700294	+	0.713855i	$0.746948\pi$
$230$	0.244992	+	0.394181i	0.0161543	+	0.0259915i
$231$	2.58397	−	2.47566i	0.170013	−	0.162886i
$232$	−7.29867	+	16.0789i	−0.479181	+	1.05563i
$233$	18.1967	−	10.5059i	1.19211	−	0.688264i	0.233324	−	0.972399i	$-0.425040\pi$
$233$	18.1967	−	10.5059i	1.19211	−	0.688264i	0.958784	+	0.284135i	$0.0917066\pi$
$234$	5.71807	+	8.02601i	0.373802	+	0.524677i
$235$	−1.07319	+	1.85882i	−0.0700072	+	0.121256i
$236$	−0.889626	−	13.6697i	−0.0579097	−	0.889821i
$237$	9.37095	+	8.79900i	0.608709	+	0.571556i
$238$	−3.34728	−	6.08053i	−0.216972	−	0.394142i
$239$	−1.32125	−	2.28846i	−0.0854643	−	0.148028i	0.820125	−	0.572185i	$-0.193904\pi$
$239$	−1.32125	−	2.28846i	−0.0854643	−	0.148028i	−0.905589	+	0.424156i	$0.860571\pi$
$240$	0.688436	+	1.52826i	0.0444383	+	0.0986490i
$241$	13.5651	+	23.4954i	0.873803	+	1.51347i	0.858033	+	0.513595i	$0.171687\pi$
$241$	13.5651	+	23.4954i	0.873803	+	1.51347i	0.0157697	+	0.999876i	$0.494980\pi$
$242$	6.92967	−	12.9573i	0.445456	−	0.832928i
$243$	−9.15942	+	12.6137i	−0.587577	+	0.809168i
$244$	0.0381561	+	0.586293i	0.00244269	+	0.0375336i
$245$	−1.68408	−	0.178749i	−0.107592	−	0.0114198i
$246$	4.48574	−	22.3773i	0.286000	−	1.42672i
$247$	2.96475	+	1.71170i	0.188642	+	0.108913i
$248$	1.79817	+	18.3876i	0.114184	+	1.16761i
$249$	9.87834	−	2.98300i	0.626014	−	0.189040i
$250$	3.39964	−	0.110508i	0.215012	−	0.00698912i
$251$			4.70840i			0.297191i	0.988898	+	0.148596i	$0.0474753\pi$
$251$			4.70840i			0.297191i	−0.988898	+	0.148596i	$0.952525\pi$
$252$	6.88410	−	14.3042i	0.433657	−	0.901078i
$253$			1.05927i			0.0665955i
$254$	−0.295780	−	9.09933i	−0.0185589	−	0.570943i
$255$	−0.177468	+	0.756816i	−0.0111135	+	0.0473936i
$256$	15.4624	−	4.11258i	0.966402	−	0.257036i
$257$	10.2994	+	5.94638i	0.642461	+	0.370925i	0.785562	−	0.618783i	$-0.212374\pi$
$257$	10.2994	+	5.94638i	0.642461	+	0.370925i	−0.143101	+	0.989708i	$0.545707\pi$
$258$	5.94695	+	17.6052i	0.370241	+	1.09605i
$259$	−13.3492	−	0.706460i	−0.829479	−	0.0438973i
$260$	0.0729895	+	1.12153i	0.00452662	+	0.0695545i
$261$	−16.7767	−	8.32586i	−1.03845	−	0.515358i
$262$	−0.234660	−	0.125498i	−0.0144973	−	0.00775328i
$263$	−5.32295	−	9.21963i	−0.328227	−	0.568507i	0.653933	−	0.756553i	$-0.273118\pi$
$263$	−5.32295	−	9.21963i	−0.328227	−	0.568507i	−0.982160	+	0.188046i	$0.939785\pi$
$264$	−0.506734	+	3.79189i	−0.0311873	+	0.233375i
$265$	0.375247	+	0.649946i	0.0230512	+	0.0399259i
$266$	0.112370	−	5.51351i	0.00688982	−	0.338055i
$267$	−4.86207	+	20.7344i	−0.297554	+	1.26892i
$268$	−11.8884	+	0.773700i	−0.726200	+	0.0472612i
$269$	−11.2997	+	19.5716i	−0.688952	+	1.19330i	0.283225	+	0.959053i	$0.408596\pi$
$269$	−11.2997	+	19.5716i	−0.688952	+	1.19330i	−0.972177	+	0.234246i	$0.924738\pi$
$270$	−1.64522	+	0.673771i	−0.100125	+	0.0410044i
$271$	11.9155	−	6.87943i	0.723817	−	0.417896i	−0.0923391	−	0.995728i	$-0.529434\pi$
$271$	11.9155	−	6.87943i	0.723817	−	0.417896i	0.816156	+	0.577832i	$0.196101\pi$
$272$	6.85276	+	2.84592i	0.415510	+	0.172559i
$273$	7.68595	−	7.36376i	0.465175	−	0.445675i
$274$	20.9851	−	13.0427i	1.26776	−	0.787935i
$275$	3.34180	+	1.92939i	0.201518	+	0.116347i
$276$	1.64765	+	4.40062i	0.0991767	+	0.264886i
$277$	−13.3645	+	7.71601i	−0.802996	+	0.463610i	−0.844518	−	0.535527i	$-0.820113\pi$
$277$	−13.3645	+	7.71601i	−0.802996	+	0.463610i	0.0415214	+	0.999138i	$0.486780\pi$
$278$	11.3957	+	18.3352i	0.683469	+	1.09967i
$279$	−19.5572	+	1.23246i	−1.17086	+	0.0737853i
$280$	1.52598	−	0.974255i	0.0911948	−	0.0582229i
$281$	−24.4645	−	14.1246i	−1.45943	−	0.842603i	−0.460448	−	0.887687i	$-0.652311\pi$
$281$	−24.4645	−	14.1246i	−1.45943	−	0.842603i	−0.998983	+	0.0450838i	$0.985645\pi$
$282$	−14.3527	+	16.3171i	−0.854693	+	0.971669i
$283$	−2.18146			−0.129674			−0.0648371	−	0.997896i	$-0.520653\pi$
$283$	−2.18146			−0.129674			−0.0648371	+	0.997896i	$0.520653\pi$
$284$	−7.71322	+	0.501978i	−0.457695	+	0.0297869i
$285$	−0.422757	+	0.450237i	−0.0250420	+	0.0266697i
$286$	−1.20972	+	2.26198i	−0.0715324	+	0.133753i
$287$	−24.6166	−	1.30275i	−1.45307	−	0.0768988i
$288$	3.79296	+	16.5413i	0.223502	+	0.974703i
$289$	−6.77939	−	11.7422i	−0.398788	−	0.690720i
$290$	−1.12755	−	1.81418i	−0.0662118	−	0.106532i
$291$	4.20608	+	13.9286i	0.246565	+	0.816509i
$292$	8.93883	−	18.1051i	0.523106	−	1.05952i
$293$	3.58104	+	6.20253i	0.209206	+	0.362356i	0.951465	−	0.307758i	$-0.0995786\pi$
$293$	3.58104	+	6.20253i	0.209206	+	0.362356i	−0.742258	+	0.670114i	$0.766245\pi$
$294$	−16.3624	−	5.12576i	−0.954272	−	0.298940i
$295$	1.43507	+	0.828539i	0.0835531	+	0.0482394i
$296$	11.6220	−	8.31607i	0.675517	−	0.483362i
$297$	−4.00094	−	0.676073i	−0.232158	−	0.0392297i
$298$	6.32374	−	11.8243i	0.366324	−	0.684964i
$299$			3.15075i			0.182213i
$300$	16.8843	+	2.81743i	0.974815	+	0.162664i
$301$	17.8884	−	9.10305i	1.03107	−	0.524691i
$302$	23.3504	−	14.5127i	1.34366	−	0.835114i
$303$	24.8568	+	5.82877i	1.42799	+	0.334854i
$304$	3.58458	+	4.68045i	0.205590	+	0.268442i
$305$	−0.0615503	−	0.0355361i	−0.00352436	−	0.00203479i
$306$	−3.26781	+	7.15985i	−0.186808	+	0.409301i
$307$	−10.6054			−0.605281			−0.302641	−	0.953105i	$-0.597868\pi$
$307$	−10.6054			−0.605281			−0.302641	+	0.953105i	$0.597868\pi$
$308$	4.13182	−	0.0500649i	0.235432	−	0.00285271i
$309$	−10.1941	+	3.07836i	−0.579923	+	0.175122i
$310$	−1.97076	−	1.05398i	−0.111932	−	0.0598619i
$311$	4.59390			0.260496			0.130248	−	0.991481i	$-0.458423\pi$
$311$	4.59390			0.260496			0.130248	+	0.991481i	$0.458423\pi$
$312$	−1.50726	+	11.2788i	−0.0853320	+	0.638539i
$313$	19.2879			1.09022			0.545110	−	0.838365i	$-0.316488\pi$
$313$	19.2879			1.09022			0.545110	+	0.838365i	$0.316488\pi$
$314$	−0.653702	−	20.1104i	−0.0368905	−	1.13489i
$315$	0.976831	+	1.65327i	0.0550382	+	0.0931515i
$316$	0.963949	+	14.8117i	0.0542264	+	0.833224i
$317$	−10.0977			−0.567145			−0.283573	−	0.958951i	$-0.591520\pi$
$317$	−10.0977			−0.567145			−0.283573	+	0.958951i	$0.591520\pi$
$318$	2.43174	+	7.19884i	0.136365	+	0.403691i
$319$		−	4.87515i		−	0.272956i
$320$	−0.624672	+	1.83189i	−0.0349203	+	0.102406i
$321$	3.46895	−	14.7934i	0.193618	−	0.825685i
$322$	4.44627	−	2.44764i	0.247781	−	0.136401i
$323$			2.73408i			0.152128i
$324$	−17.6732	+	3.41463i	−0.981842	+	0.189702i
$325$	9.94007	+	5.73890i	0.551376	+	0.318337i
$326$	−7.77475	−	12.5092i	−0.430603	−	0.692823i
$327$	−24.5019	+	7.39894i	−1.35496	+	0.409162i
$328$	21.4316	−	15.3353i	1.18336	−	0.846748i
$329$	19.6791	+	12.7941i	1.08494	+	0.705362i
$330$	−0.347475	−	0.305643i	−0.0191279	−	0.0168251i
$331$	−33.4068			−1.83620			−0.918102	−	0.396343i	$-0.870279\pi$
$331$	−33.4068			−1.83620			−0.918102	+	0.396343i	$0.870279\pi$
$332$	10.6840	+	5.27491i	0.586362	+	0.289498i
$333$	8.38947	+	12.6244i	0.459740	+	0.691810i
$334$	−11.0734	−	17.8166i	−0.605907	−	0.974880i
$335$	0.720573	−	1.24807i	0.0393691	−	0.0681893i
$336$	17.0874	−	6.63487i	0.932193	−	0.361962i
$337$	−9.59281	−	16.6152i	−0.522554	−	0.905089i	−0.999656	−	0.0262414i	$-0.991646\pi$
$337$	−9.59281	−	16.6152i	−0.522554	−	0.905089i	0.477102	−	0.878848i	$-0.341687\pi$
$338$	5.07199	−	9.48375i	0.275880	−	0.515848i
$339$	−4.75781	+	20.2897i	−0.258409	+	1.10199i
$340$	−0.746557	+	0.498336i	−0.0404878	+	0.0270260i
$341$	−2.55041	−	4.41744i	−0.138112	−	0.239218i
$342$	−5.09273	+	3.62828i	−0.275384	+	0.196195i
$343$	−2.92532	+	18.2878i	−0.157952	+	0.987447i
$344$	−8.86906	+	19.5385i	−0.478188	+	1.05344i
$345$	−0.553407	−	0.129770i	−0.0297944	−	0.00698660i
$346$	−31.4733	+	1.02306i	−1.69201	+	0.0550001i
$347$		−	22.2986i		−	1.19705i	−0.801104	−	0.598526i	$-0.795753\pi$
$347$		−	22.2986i		−	1.19705i	0.801104	−	0.598526i	$-0.204247\pi$
$348$	−7.58311	−	20.2534i	−0.406497	−	1.08569i
$349$	−6.76531	−	3.90595i	−0.362139	−	0.209081i	0.307880	−	0.951425i	$-0.400381\pi$
$349$	−6.76531	−	3.90595i	−0.362139	−	0.209081i	−0.670019	+	0.742344i	$0.733714\pi$
$350$	0.376747	−	18.4854i	0.0201380	−	0.988088i
$351$	−11.9007	−	2.01096i	−0.635211	−	0.107337i
$352$	−3.41794	+	2.79844i	−0.182177	+	0.149157i
$353$	3.86982	−	2.23424i	0.205970	−	0.118917i	−0.393467	−	0.919339i	$-0.628724\pi$
$353$	3.86982	−	2.23424i	0.205970	−	0.118917i	0.599437	+	0.800422i	$0.295391\pi$
$354$	12.5974	+	11.0808i	0.669542	+	0.588938i
$355$	0.467509	−	0.809750i	0.0248128	−	0.0429771i
$356$	−20.4533	+	13.6528i	−1.08402	+	0.723598i
$357$	8.16229	+	2.37544i	0.431994	+	0.125722i
$358$	4.65752	+	2.49088i	0.246158	+	0.131647i
$359$	−1.40303	−	2.43012i	−0.0740492	−	0.128257i	0.826623	−	0.562756i	$-0.190259\pi$
$359$	−1.40303	−	2.43012i	−0.0740492	−	0.128257i	−0.900672	+	0.434499i	$0.856926\pi$
$360$	−1.91897	−	0.729284i	−0.101139	−	0.0384366i
$361$	8.41388	−	14.5733i	0.442836	−	0.767014i
$362$	−0.526918	−	16.2100i	−0.0276942	−	0.851980i
$363$	5.20241	+	17.2280i	0.273055	+	0.904235i
$364$	12.2899	−	0.148916i	0.644168	−	0.00780534i
$365$	1.22125	+	2.11527i	0.0639233	+	0.110718i
$366$	−0.540301	−	0.475256i	−0.0282420	−	0.0248420i
$367$	25.5390	−	14.7450i	1.33313	−	0.769681i	0.347349	−	0.937736i	$-0.387082\pi$
$367$	25.5390	−	14.7450i	1.33313	−	0.769681i	0.985778	+	0.168055i	$0.0537485\pi$
$368$	−2.08102	+	5.01095i	−0.108481	+	0.261214i
$369$	15.4706	+	23.2799i	0.805368	+	1.21190i
$370$	0.0561637	+	1.72781i	0.00291981	+	0.0898246i
$371$	7.31465	−	3.72228i	0.379758	−	0.193251i
$372$	−17.4666	−	14.3848i	−0.905601	−	0.745816i
$373$	−20.9283	−	12.0830i	−1.08363	−	0.625632i	−0.151754	−	0.988418i	$-0.548492\pi$
$373$	−20.9283	−	12.0830i	−1.08363	−	0.625632i	−0.931872	+	0.362786i	$0.881826\pi$
$374$	−2.04756	+	0.0665573i	−0.105877	+	0.00344159i
$375$	−2.85159	+	3.03695i	−0.147256	+	0.156827i
$376$	−24.9740	+	2.44228i	−1.28794	+	0.125951i
$377$		−	14.5010i		−	0.746838i
$378$	6.40713	+	18.3562i	0.329547	+	0.944139i
$379$	−22.9361			−1.17815			−0.589074	−	0.808079i	$-0.700507\pi$
$379$	−22.9361			−1.17815			−0.589074	+	0.808079i	$0.700507\pi$
$380$	−0.711644	+	0.0463140i	−0.0365066	+	0.00237586i
$381$	8.12857	+	7.63245i	0.416439	+	0.391022i
$382$	−31.2296	+	1.01514i	−1.59784	+	0.0519390i
$383$	−10.2048	+	17.6752i	−0.521440	+	0.903160i	0.478249	+	0.878224i	$0.341272\pi$
$383$	−10.2048	+	17.6752i	−0.521440	+	0.903160i	−0.999689	+	0.0249359i	$0.992062\pi$
$384$	−9.84666	+	16.9424i	−0.502485	+	0.864586i
$385$	−0.272452	+	0.419070i	−0.0138855	+	0.0213578i
$386$	−10.4423	+	0.339433i	−0.531497	+	0.0172767i
$387$	−20.3864	−	10.1173i	−1.03630	−	0.514290i
$388$	−7.43770	+	15.0646i	−0.377592	+	0.764791i
$389$	−14.4316	−	24.9963i	−0.731711	−	1.26736i	−0.956151	−	0.292873i	$-0.905389\pi$
$389$	−14.4316	−	24.9963i	−0.731711	−	1.26736i	0.224440	−	0.974488i	$-0.427945\pi$
$390$	−1.03355	−	0.909126i	−0.0523360	−	0.0460354i
$391$	−2.17920	+	1.25816i	−0.110207	+	0.0636281i
$392$	−9.75750	−	17.2276i	−0.492828	−	0.870127i
$393$	0.312003	−	0.0942167i	0.0157385	−	0.00475260i
$394$	17.4571	−	0.567455i	0.879476	−	0.0285880i
$395$	−1.55496	−	0.897759i	−0.0782387	−	0.0451712i
$396$	−2.84120	−	3.72564i	−0.142776	−	0.187220i
$397$	14.3295	−	8.27314i	0.719177	−	0.415217i	−0.0952729	−	0.995451i	$-0.530372\pi$
$397$	14.3295	−	8.27314i	0.719177	−	0.415217i	0.814450	+	0.580234i	$0.197039\pi$
$398$	27.5981	+	14.7597i	1.38337	+	0.739837i
$399$	4.67252	+	4.87695i	0.233918	+	0.244153i
$400$	12.0182	+	15.6924i	0.600911	+	0.784621i
$401$	3.69950	+	2.13591i	0.184744	+	0.106662i	0.589520	−	0.807754i	$-0.299317\pi$
$401$	3.69950	+	2.13591i	0.184744	+	0.106662i	−0.404776	+	0.914416i	$0.632650\pi$
$402$	9.63687	−	10.9558i	0.480644	−	0.546426i
$403$	−7.58610	−	13.1395i	−0.377891	−	0.654526i
$404$	16.3673	+	24.5199i	0.814305	+	1.21991i
$405$	0.843365	−	2.00744i	0.0419071	−	0.0997506i
$406$	−20.4635	+	11.2650i	−1.01558	+	0.559071i
$407$	−1.97277	+	3.41695i	−0.0977868	+	0.169372i
$408$	−8.40286	+	3.46140i	−0.416003	+	0.171365i
$409$	16.5474			0.818214			0.409107	−	0.912486i	$-0.365840\pi$
$409$	16.5474			0.818214			0.409107	+	0.912486i	$0.365840\pi$
$410$	0.103569	+	3.18617i	0.00511489	+	0.157354i
$411$	−6.90860	+	29.4618i	−0.340776	+	1.45324i
$412$	−11.0256	−	5.44353i	−0.543191	−	0.268184i
$413$	9.87749	−	15.1930i	0.486040	−	0.747597i
$414$	−5.23550	−	2.38952i	−0.257311	−	0.117439i
$415$	−1.24825	+	0.720675i	−0.0612740	+	0.0353766i
$416$	−10.1666	+	8.32387i	−0.498456	+	0.408111i
$417$	−25.7416	−	6.03623i	−1.26057	−	0.295595i
$418$	−1.43529	−	0.767603i	−0.0702023	−	0.0375447i
$419$	10.9528	−	6.32361i	0.535080	−	0.308928i	−0.208003	−	0.978128i	$-0.566696\pi$
$419$	10.9528	−	6.32361i	0.535080	−	0.308928i	0.743082	+	0.669200i	$0.233363\pi$
$420$	−0.480032	+	2.16478i	−0.0234232	+	0.105630i
$421$	13.3116	+	7.68544i	0.648767	+	0.374566i	0.787984	−	0.615696i	$-0.211125\pi$
$421$	13.3116	+	7.68544i	0.648767	+	0.374566i	−0.139217	+	0.990262i	$0.544459\pi$
$422$	17.3367	+	27.8940i	0.843937	+	1.35786i
$423$	−1.67392	−	26.5626i	−0.0813889	−	1.29152i
$424$	−3.62660	+	7.98937i	−0.176123	+	0.387998i
$425$			9.16669i			0.444650i
$426$	6.25242	−	7.10815i	0.302931	−	0.344391i
$427$	−0.423646	+	0.651626i	−0.0205017	+	0.0315344i
$428$	14.5928	−	9.74089i	0.705372	−	0.470844i
$429$	−0.908191	−	3.00751i	−0.0438479	−	0.145204i
$430$	−1.37015	−	2.20452i	−0.0660746	−	0.106311i
$431$	−2.34178	+	4.05607i	−0.112799	+	0.195374i	−0.916898	−	0.399122i	$-0.869315\pi$
$431$	−2.34178	+	4.05607i	−0.112799	+	0.195374i	0.804099	+	0.594496i	$0.202648\pi$
$432$	−17.5986	−	11.0584i	−0.846714	−	0.532049i
$433$	1.37766			0.0662059			0.0331030	−	0.999452i	$-0.489461\pi$
$433$	1.37766			0.0662059			0.0331030	+	0.999452i	$0.489461\pi$
$434$	−12.6490	+	20.9127i	−0.607171	+	1.00384i
$435$	2.54699	+	0.597254i	0.122119	+	0.0286361i
$436$	−26.5003	−	13.0837i	−1.26913	−	0.626596i
$437$	−1.99924			−0.0956367
$438$	7.91417	+	23.4289i	0.378153	+	1.11947i
$439$		−	7.70809i		−	0.367887i	−0.982937	−	0.183944i	$-0.941114\pi$
$439$		−	7.70809i		−	0.367887i	0.982937	−	0.183944i	$-0.0588864\pi$
$440$	−0.0520086	−	0.531825i	−0.00247941	−	0.0253538i
$441$	18.6192	−	9.71206i	0.886630	−	0.462479i
$442$	−6.09039	+	0.197972i	−0.289690	+	0.00941659i
$443$			13.2620i			0.630098i	0.949075	+	0.315049i	$0.102021\pi$
$443$			13.2620i			0.630098i	−0.949075	+	0.315049i	$0.897979\pi$
$444$	−2.88078	+	17.2640i	−0.136716	+	0.819311i
$445$		−	2.97475i		−	0.141017i
$446$	8.72233	+	4.66477i	0.413014	+	0.220883i
$447$	4.74750	+	15.7216i	0.224549	+	0.743604i
$448$	19.6443	+	7.88049i	0.928105	+	0.372318i
$449$		−	1.79109i		−	0.0845266i	−0.999107	−	0.0422633i	$-0.986543\pi$
$449$		−	1.79109i		−	0.0845266i	0.999107	−	0.0422633i	$-0.0134568\pi$
$450$	−17.0747	+	12.1647i	−0.804909	+	0.573451i
$451$	−3.63789	+	6.30102i	−0.171302	+	0.296703i
$452$	−20.0147	+	13.3601i	−0.941414	+	0.628405i
$453$	−7.68730	+	32.7826i	−0.361181	+	1.54026i
$454$	−29.6026	+	18.3986i	−1.38932	+	0.863489i
$455$	−0.810401	+	1.24651i	−0.0379922	+	0.0584372i
$456$	−7.15675	−	0.956402i	−0.335146	−	0.0447876i
$457$	9.98882			0.467257			0.233629	−	0.972326i	$-0.424940\pi$
$457$	9.98882			0.467257			0.233629	+	0.972326i	$0.424940\pi$
$458$	9.41862	+	5.03715i	0.440103	+	0.235371i
$459$	−3.36133	−	9.03407i	−0.156893	−	0.421674i
$460$	−0.364399	−	0.545906i	−0.0169902	−	0.0254530i
$461$	20.8878	−	36.1787i	0.972841	−	1.68501i	0.285958	−	0.958242i	$-0.407688\pi$
$461$	20.8878	−	36.1787i	0.972841	−	1.68501i	0.686883	−	0.726768i	$-0.258978\pi$
$462$	−3.53862	+	3.61798i	−0.164631	+	0.168324i
$463$	24.8917	−	14.3712i	1.15681	−	0.667887i	0.206276	−	0.978494i	$-0.433865\pi$
$463$	24.8917	−	14.3712i	1.15681	−	0.667887i	0.950539	+	0.310606i	$0.100532\pi$
$464$	9.57767	−	23.0623i	0.444632	−	1.07064i
$465$	2.62031	−	0.791267i	0.121514	−	0.0366941i
$466$	−25.2378	+	15.6858i	−1.16912	+	0.726630i
$467$	−22.6577	+	13.0814i	−1.04847	+	0.605337i	−0.922222	−	0.386661i	$-0.873628\pi$
$467$	−22.6577	+	13.0814i	−1.04847	+	0.605337i	−0.126253	+	0.991998i	$0.540295\pi$
$468$	−8.45107	−	11.0818i	−0.390651	−	0.512256i
$469$	−13.2132	−	8.59037i	−0.610128	−	0.396666i
$470$	1.43151	−	2.67669i	0.0660308	−	0.123466i
$471$	17.9649	+	16.8684i	0.827779	+	0.777256i
$472$	1.88552	+	19.2808i	0.0867882	+	0.887470i
$473$		−	5.92409i		−	0.272390i
$474$	−13.6498	−	12.0065i	−0.626956	−	0.551479i
$475$	−3.64150	+	6.30726i	−0.167083	+	0.289397i
$476$	5.01065	+	8.44083i	0.229663	+	0.386885i
$477$	−8.33608	−	4.13700i	−0.381683	−	0.189420i
$478$	1.97268	+	3.17396i	0.0902284	+	0.145174i
$479$	−15.1579	−	26.2542i	−0.692581	−	1.19959i	−0.970989	−	0.239123i	$-0.923140\pi$
$479$	−15.1579	−	26.2542i	−0.692581	−	1.19959i	0.278408	−	0.960463i	$-0.410193\pi$
$480$	−1.04330	−	2.12852i	−0.0476198	−	0.0971532i
$481$	−5.86795	+	10.1636i	−0.267556	+	0.463420i
$482$	−20.2533	−	32.5867i	−0.922512	−	1.48428i
$483$	−1.73700	+	5.96852i	−0.0790362	+	0.271577i
$484$	−9.19953	+	18.6331i	−0.418161	+	0.846961i
$485$	−1.01616	−	1.76005i	−0.0461416	−	0.0799196i
$486$	12.3670	−	18.2499i	0.560978	−	0.827831i
$487$	17.9589	+	10.3686i	0.813795	+	0.469845i	0.848272	−	0.529561i	$-0.177643\pi$
$487$	17.9589	+	10.3686i	0.813795	+	0.469845i	−0.0344770	+	0.999405i	$0.510977\pi$
$488$	−0.0808701	−	0.826953i	−0.00366082	−	0.0374344i
$489$	17.5622	+	4.11823i	0.794192	+	0.186233i
$490$	2.38860	+	0.175279i	0.107906	+	0.00791830i
$491$	−32.2666	+	18.6291i	−1.45617	+	0.840720i	−0.998820	−	0.0485673i	$-0.984534\pi$
$491$	−32.2666	+	18.6291i	−1.45617	+	0.840720i	−0.457349	+	0.889287i	$0.651201\pi$
$492$	−5.31231	+	31.8356i	−0.239497	+	1.43526i
$493$	10.0295	−	5.79056i	0.451708	−	0.260794i
$494$	−4.26922	−	2.28321i	−0.192081	−	0.102727i
$495$	0.565654	−	0.0356464i	0.0254243	−	0.00160219i
$496$	−3.38649	−	25.9076i	−0.152058	−	1.16329i
$497$	−8.57273	−	5.57345i	−0.384540	−	0.250003i
$498$	−13.8256	+	4.67024i	−0.619542	+	0.209279i
$499$	2.12799	−	3.68578i	0.0952618	−	0.164998i	−0.814456	−	0.580225i	$-0.802965\pi$
$499$	2.12799	−	3.68578i	0.0952618	−	0.164998i	0.909718	+	0.415227i	$0.136298\pi$
$500$	−4.80020	+	0.312398i	−0.214671	+	0.0139709i
$501$	25.0134	+	5.86548i	1.11752	+	0.262050i
$502$	−0.216331	−	6.65517i	−0.00965532	−	0.297035i
$503$	3.82132			0.170384			0.0851921	−	0.996365i	$-0.472850\pi$
$503$	3.82132			0.170384			0.0851921	+	0.996365i	$0.472850\pi$
$504$	−9.07323	+	20.5348i	−0.404154	+	0.914691i
$505$	−3.56620			−0.158694
$506$	−0.0486688	−	1.49724i	−0.00216359	−	0.0665603i
$507$	3.80776	+	12.6096i	0.169108	+	0.560010i
$508$	0.836151	+	12.8480i	0.0370982	+	0.570038i
$509$	−1.93121	+	3.34496i	−0.0855994	+	0.148263i	−0.905646	−	0.424034i	$-0.860614\pi$
$509$	−1.93121	+	3.34496i	−0.0855994	+	0.148263i	0.820047	+	0.572296i	$0.193947\pi$
$510$	0.216073	−	1.07789i	0.00956788	−	0.0477297i
$511$	23.8058	−	12.1143i	1.05310	−	0.535904i
$512$	−21.6667	+	6.52343i	−0.957541	+	0.288298i
$513$	1.27601	−	7.55131i	0.0563372	−	0.333399i
$514$	−14.8311	−	7.93180i	−0.654173	−	0.349857i
$515$	1.28815	−	0.743714i	0.0567627	−	0.0327719i
$516$	−9.21470	−	24.6111i	−0.405655	−	1.08344i
$517$	5.99976	−	3.46397i	0.263869	−	0.152345i
$518$	18.9011	+	0.385219i	0.830467	+	0.0169256i
$519$	26.3995	−	28.1156i	1.15881	−	1.23414i
$520$	−0.154698	−	1.58190i	−0.00678395	−	0.0693707i
$521$	−10.4790	−	6.05008i	−0.459095	−	0.265059i	0.252569	−	0.967579i	$-0.418725\pi$
$521$	−10.4790	−	6.05008i	−0.459095	−	0.265059i	−0.711664	+	0.702520i	$0.752058\pi$
$522$	24.0958	+	10.9975i	1.05465	+	0.481348i
$523$	15.1268	+	26.2004i	0.661448	+	1.14566i	0.980235	+	0.197835i	$0.0633911\pi$
$523$	15.1268	+	26.2004i	0.661448	+	1.14566i	−0.318787	+	0.947826i	$0.603276\pi$
$524$	0.337450	+	0.166605i	0.0147416	+	0.00727819i
$525$	15.6658	+	16.3512i	0.683712	+	0.713626i
$526$	7.94742	+	12.7871i	0.346524	+	0.557543i
$527$	6.05860	−	10.4938i	0.263917	−	0.457117i
$528$	0.542030	−	5.38299i	0.0235888	−	0.234265i
$529$	10.5800	+	18.3251i	0.460000	+	0.796743i
$530$	−0.560261	−	0.901437i	−0.0243362	−	0.0391559i
$531$	−20.5072	+	1.29233i	−0.889938	+	0.0560822i
$532$	0.0944917	+	7.79832i	0.00409673	+	0.338100i
$533$	−10.8208	+	18.7422i	−0.468701	+	0.811813i
$534$	5.91973	−	29.5307i	0.256172	−	1.27792i
$535$			2.12240i			0.0917592i
$536$	16.7683	−	1.63982i	0.724281	−	0.0708295i
$537$	−6.19262	+	1.87001i	−0.267231	+	0.0806969i
$538$	15.0725	−	28.1829i	0.649820	−	1.21505i
$539$	4.41902	+	3.21753i	0.190341	+	0.138589i
$540$	2.29451	−	1.02794i	0.0987401	−	0.0442356i
$541$	32.6965	−	18.8773i	1.40573	−	0.811599i	0.410758	−	0.911744i	$-0.365264\pi$
$541$	32.6965	−	18.8773i	1.40573	−	0.811599i	0.994973	+	0.100145i	$0.0319307\pi$
$542$	−16.5261	+	10.2713i	−0.709858	+	0.441191i
$543$	14.4807	+	13.5968i	0.621424	+	0.583496i
$544$	−9.81691	−	3.70775i	−0.420896	−	0.158969i
$545$	3.09611	−	1.78754i	0.132623	−	0.0765698i
$546$	−10.5255	+	10.7616i	−0.450450	+	0.460553i
$547$	8.19025	−	14.1859i	0.350190	−	0.606547i	−0.636093	−	0.771613i	$-0.719450\pi$
$547$	8.19025	−	14.1859i	0.350190	−	0.606547i	0.986283	+	0.165066i	$0.0527837\pi$
$548$	−29.0625	+	19.3995i	−1.24149	+	0.828707i
$549$	0.879556	−	0.0554279i	0.0375385	−	0.00236561i
$550$	−4.81217	−	2.57359i	−0.205192	−	0.109738i
$551$	9.20128			0.391988
$552$	−2.53109	−	6.14443i	−0.107730	−	0.261524i
$553$	−10.7027	+	16.4622i	−0.455125	+	0.700046i
$554$	18.5358	−	11.5204i	0.787511	−	0.489454i
$555$	−1.54348	−	1.44927i	−0.0655170	−	0.0615182i
$556$	−16.9499	−	25.3926i	−0.718835	−	1.07689i
$557$	19.4663	−	33.7167i	0.824815	−	1.42862i	−0.0772447	−	0.997012i	$-0.524612\pi$
$557$	19.4663	−	33.7167i	0.824815	−	1.42862i	0.902060	−	0.431610i	$-0.142054\pi$
$558$	27.5868	−	2.64061i	1.16784	−	0.111786i
$559$		−	17.6210i		−	0.745290i
$560$	−2.11216	+	1.44719i	−0.0892551	+	0.0611549i
$561$	1.71747	−	1.82911i	0.0725118	−	0.0772252i
$562$	35.2288	+	18.8406i	1.48604	+	0.794743i
$563$		−	13.2592i		−	0.558807i	−0.960174	−	0.279404i	$-0.909863\pi$
$563$		−	13.2592i		−	0.558807i	0.960174	−	0.279404i	$-0.0901367\pi$
$564$	19.5374	−	23.7231i	0.822673	−	0.998924i
$565$		−	2.91096i		−	0.122465i
$566$	3.08342	−	0.100229i	0.129606	−	0.00421293i
$567$	−21.4350	−	10.3702i	−0.900185	−	0.435507i
$568$	10.8793	−	1.06392i	0.456486	−	0.0446410i
$569$			21.8002i			0.913910i	0.889490	+	0.456955i	$0.151060\pi$
$569$			21.8002i			0.913910i	−0.889490	+	0.456955i	$0.848940\pi$
$570$	0.576867	−	0.655819i	0.0241623	−	0.0274692i
$571$	16.0673			0.672396			0.336198	−	0.941791i	$-0.390859\pi$
$571$	16.0673			0.672396			0.336198	+	0.941791i	$0.390859\pi$
$572$	1.60597	−	3.25281i	0.0671491	−	0.136007i
$573$	26.1951	−	27.8978i	1.09432	−	1.16545i
$574$	34.8546	+	0.710363i	1.45480	+	0.0296500i
$575$	−6.70297			−0.279533
$576$	−6.12122	−	23.2063i	−0.255051	−	0.966928i
$577$	0.194617	−	0.337086i	0.00810200	−	0.0140331i	−0.861946	−	0.507000i	$-0.830754\pi$
$577$	0.194617	−	0.337086i	0.00810200	−	0.0140331i	0.870048	+	0.492967i	$0.164088\pi$
$578$	10.1219	+	16.2858i	0.421018	+	0.677400i
$579$	8.75889	−	9.32823i	0.364007	−	0.387668i
$580$	1.67710	+	2.51247i	0.0696379	+	0.104325i
$581$	7.14878	+	14.0481i	0.296581	+	0.582812i
$582$	−6.58511	−	19.4944i	−0.272962	−	0.808068i
$583$		−	2.42239i		−	0.100325i
$584$	−11.8029	+	26.0017i	−0.488407	+	1.07596i
$585$	1.68252	−	0.106029i	0.0695636	−	0.00438377i
$586$	−5.34666	−	8.60254i	−0.220868	−	0.355368i
$587$	15.9434	+	9.20492i	0.658054	+	0.379928i	0.791535	−	0.611124i	$-0.209282\pi$
$587$	15.9434	+	9.20492i	0.658054	+	0.379928i	−0.133481	+	0.991051i	$0.542615\pi$
$588$	23.3632	+	6.49331i	0.963480	+	0.267780i
$589$	8.33740	−	4.81360i	0.343537	−	0.198341i
$590$	−2.06650	−	1.10518i	−0.0850763	−	0.0454994i
$591$	−14.6429	+	15.5947i	−0.602328	+	0.641480i
$592$	−16.0453	+	12.2885i	−0.659457	+	0.505053i
$593$	7.05201	−	4.07148i	0.289591	−	0.167196i	−0.348166	−	0.937433i	$-0.613196\pi$
$593$	7.05201	−	4.07148i	0.289591	−	0.167196i	0.637758	+	0.770237i	$0.279862\pi$
$594$	5.68626	+	0.771780i	0.233310	+	0.0316665i
$595$	−1.18575	−	0.0627519i	−0.0486112	−	0.00257258i
$596$	−8.39512	+	17.0038i	−0.343877	+	0.696504i
$597$	−36.6944	+	11.0807i	−1.50180	+	0.453505i
$598$	−0.144764	−	4.45348i	−0.00591982	−	0.182116i
$599$	4.15694			0.169848			0.0849239	−	0.996387i	$-0.472935\pi$
$599$	4.15694			0.169848			0.0849239	+	0.996387i	$0.472935\pi$
$600$	−23.9948	−	3.20658i	−0.979585	−	0.130908i
$601$	5.19703	−	9.00152i	0.211991	−	0.367180i	−0.740346	−	0.672226i	$-0.765339\pi$
$601$	5.19703	−	9.00152i	0.211991	−	0.367180i	0.952338	+	0.305046i	$0.0986719\pi$
$602$	−24.8664	+	13.6888i	−1.01348	+	0.557912i
$603$	1.12392	+	17.8350i	0.0457697	+	0.726296i
$604$	−32.3382	+	21.5861i	−1.31582	+	0.878327i
$605$	−1.25687	−	2.17696i	−0.0510991	−	0.0885062i
$606$	−35.4021	−	7.09671i	−1.43811	−	0.288284i
$607$	5.93286	+	3.42534i	0.240807	+	0.139030i	0.615548	−	0.788100i	$-0.288935\pi$
$607$	5.93286	+	3.42534i	0.240807	+	0.139030i	−0.374740	+	0.927130i	$0.622268\pi$
$608$	−5.28174	−	6.45097i	−0.214203	−	0.261621i
$609$	7.99434	−	27.4694i	0.323947	−	1.11312i
$610$	0.0886320	+	0.0474011i	0.00358861	+	0.00191921i
$611$	17.8461	−	10.3035i	0.721976	−	0.416833i
$612$	4.28998	−	10.2704i	0.173412	−	0.415154i
$613$	1.73459	+	1.00147i	0.0700594	+	0.0404488i	0.534620	−	0.845092i	$-0.320455\pi$
$613$	1.73459	+	1.00147i	0.0700594	+	0.0404488i	−0.464561	+	0.885541i	$0.653788\pi$
$614$	14.9904	−	0.487272i	0.604962	−	0.0196647i
$615$	−2.84625	−	2.67253i	−0.114772	−	0.107767i
$616$	−5.83788	+	0.260604i	−0.235215	+	0.0105001i
$617$	−26.7592	+	15.4494i	−1.07728	+	0.621971i	−0.930163	−	0.367148i	$-0.880334\pi$
$617$	−26.7592	+	15.4494i	−1.07728	+	0.621971i	−0.147122	+	0.989118i	$0.547001\pi$
$618$	14.2676	−	4.81954i	0.573928	−	0.193870i
$619$	6.74393	+	11.6808i	0.271061	+	0.469492i	0.969134	−	0.246535i	$-0.0792920\pi$
$619$	6.74393	+	11.6808i	0.271061	+	0.469492i	−0.698073	+	0.716027i	$0.745959\pi$
$620$	2.83403	+	1.39921i	0.113817	+	0.0561938i
$621$	6.60600	−	2.45791i	0.265089	−	0.0986325i
$622$	−6.49333	+	0.211070i	−0.260359	+	0.00846315i
$623$	−32.4859	−	1.71921i	−1.30152	−	0.0688785i
$624$	1.61225	−	16.0115i	0.0645417	−	0.640974i
$625$	−12.0627	+	20.8932i	−0.482509	+	0.835730i
$626$	−27.2629	+	0.886199i	−1.08964	+	0.0354196i
$627$	1.90835	−	0.576273i	0.0762123	−	0.0230141i
$628$	1.84797	+	28.3953i	0.0737421	+	1.13310i
$629$	−9.37281			−0.373719
$630$	−1.45668	−	2.29197i	−0.0580355	−	0.0913142i
$631$		−	4.07592i		−	0.162260i	−0.996704	−	0.0811299i	$-0.974147\pi$
$631$		−	4.07592i		−	0.162260i	0.996704	−	0.0811299i	$-0.0258528\pi$
$632$	−2.04305	−	20.8916i	−0.0812680	−	0.831022i
$633$	−39.1615	−	9.18313i	−1.55653	−	0.364997i
$634$	14.2728	−	0.463948i	0.566846	−	0.0184257i
$635$	−1.34881	−	0.778736i	−0.0535259	−	0.0309032i
$636$	−3.76793	−	10.0636i	−0.149408	−	0.399048i
$637$	13.1442	+	9.57043i	0.520793	+	0.379194i
$638$	0.223992	+	6.89086i	0.00886795	+	0.272812i
$639$	0.729204	+	11.5714i	0.0288469	+	0.457756i
$640$	0.798786	−	2.61802i	0.0315748	−	0.103486i
$641$	14.1593	−	8.17485i	0.559257	−	0.322887i	−0.193590	−	0.981082i	$-0.562013\pi$
$641$	14.1593	−	8.17485i	0.559257	−	0.322887i	0.752847	+	0.658195i	$0.228680\pi$
$642$	−4.22355	+	21.0693i	−0.166690	+	0.831539i
$643$	9.16824	+	15.8799i	0.361560	+	0.626241i	0.988218	−	0.153054i	$-0.0489109\pi$
$643$	9.16824	+	15.8799i	0.361560	+	0.626241i	−0.626658	+	0.779295i	$0.715578\pi$
$644$	−6.17220	+	3.66394i	−0.243219	+	0.144380i
$645$	3.09501	+	0.725760i	0.121866	+	0.0285768i
$646$	−0.125619	−	3.86453i	−0.00494242	−	0.152048i
$647$	20.0551	−	34.7365i	0.788448	−	1.36563i	−0.138470	−	0.990367i	$-0.544218\pi$
$647$	20.0551	−	34.7365i	0.788448	−	1.36563i	0.926918	−	0.375265i	$-0.122448\pi$
$648$	24.8235	−	5.63847i	0.975160	−	0.221500i
$649$	−2.67430	−	4.63202i	−0.104975	−	0.181823i
$650$	−14.3136	−	7.65505i	−0.561427	−	0.300256i
$651$	−7.12671	−	29.0726i	−0.279318	−	1.13945i
$652$	11.5641	+	17.3242i	0.452885	+	0.678468i
$653$	−13.7964	+	23.8960i	−0.539894	+	0.935124i	0.459015	+	0.888428i	$0.348202\pi$
$653$	−13.7964	+	23.8960i	−0.539894	+	0.935124i	−0.998909	+	0.0466955i	$0.985131\pi$
$654$	34.2927	−	11.5839i	1.34095	−	0.452967i
$655$	−0.0394253	+	0.0227622i	−0.00154047	+	0.000889393i
$656$	−29.5883	+	22.6606i	−1.15523	+	0.884746i
$657$	−27.1301	−	13.4640i	−1.05844	−	0.525280i
$658$	−28.4036	−	17.1799i	−1.10729	−	0.669741i
$659$	−27.0614	−	15.6239i	−1.05416	−	0.608621i	−0.130351	−	0.991468i	$-0.541610\pi$
$659$	−27.0614	−	15.6239i	−1.05416	−	0.608621i	−0.923812	+	0.382847i	$0.874944\pi$
$660$	0.505188	+	0.416052i	0.0196644	+	0.0161948i
$661$			42.0615i			1.63600i	0.575217	+	0.818001i	$0.304918\pi$
$661$			42.0615i			1.63600i	−0.575217	+	0.818001i	$0.695082\pi$
$662$	47.2194	−	1.53490i	1.83524	−	0.0596556i
$663$	5.10857	−	5.44064i	0.198400	−	0.211297i
$664$	−15.3439	−	6.96502i	−0.595458	−	0.270295i
$665$	−0.790946	−	0.514222i	−0.0306716	−	0.0199407i
$666$	−12.4383	−	17.4586i	−0.481974	−	0.676509i
$667$	4.23424	+	7.33392i	0.163950	+	0.283970i
$668$	16.4704	+	24.6744i	0.637260	+	0.954680i
$669$	−11.5972	+	3.50204i	−0.448373	+	0.135397i
$670$	−0.961163	+	1.79721i	−0.0371330	+	0.0694324i
$671$	0.114701	+	0.198668i	0.00442798	+	0.00766948i
$672$	−23.8476	+	10.1633i	−0.919941	+	0.392056i
$673$	23.3027	−	40.3614i	0.898251	−	1.55582i	0.0685232	−	0.997650i	$-0.478171\pi$
$673$	23.3027	−	40.3614i	0.898251	−	1.55582i	0.829728	−	0.558168i	$-0.188495\pi$
$674$	14.3225	+	23.0443i	0.551683	+	0.887634i
$675$	4.27815	−	25.3177i	0.164666	−	0.974479i
$676$	−6.73335	+	13.6380i	−0.258975	+	0.524539i
$677$	−40.2412			−1.54660			−0.773298	−	0.634043i	$-0.781394\pi$
$677$	−40.2412			−1.54660			−0.773298	+	0.634043i	$0.781394\pi$
$678$	5.79279	−	28.8975i	0.222471	−	1.10980i
$679$	−19.8080	+	10.0799i	−0.760160	+	0.386831i
$680$	1.03234	−	0.738682i	0.0395883	−	0.0283272i
$681$	9.74561	−	41.5602i	0.373453	−	1.59259i
$682$	3.80788	+	6.12672i	0.145811	+	0.234604i
$683$	20.9066	+	12.0704i	0.799970	+	0.461863i	0.843461	−	0.537191i	$-0.180515\pi$
$683$	20.9066	+	12.0704i	0.799970	+	0.461863i	−0.0434908	+	0.999054i	$0.513848\pi$
$684$	7.03171	−	5.36244i	0.268864	−	0.205038i
$685$		−	4.22687i		−	0.161500i
$686$	3.29460	−	25.9836i	0.125788	−	0.992057i
$687$	−12.5230	+	3.78161i	−0.477781	+	0.144277i
$688$	11.6384	−	28.0245i	0.443711	−	1.06842i
$689$		−	7.20532i		−	0.274501i
$690$	0.788185	+	0.157999i	0.0300057	+	0.00601494i
$691$	−4.60773			−0.175286			−0.0876431	−	0.996152i	$-0.527934\pi$
$691$	−4.60773			−0.175286			−0.0876431	+	0.996152i	$0.527934\pi$
$692$	44.4394	−	2.89213i	1.68933	−	0.109942i
$693$	−0.0623690	−	6.19786i	−0.00236920	−	0.235437i
$694$	1.02453	+	31.5183i	0.0388905	+	1.19642i
$695$	3.69313			0.140088
$696$	11.6490	+	28.2791i	0.441555	+	1.07191i
$697$	−17.2839			−0.654676
$698$	9.74201	+	5.21010i	0.368740	+	0.197205i
$699$	8.30866	−	35.4323i	0.314262	−	1.34017i
$700$	0.316807	+	26.1459i	0.0119742	+	0.988221i
$701$	−32.4107			−1.22414			−0.612068	−	0.790805i	$-0.709662\pi$
$701$	−32.4107			−1.22414			−0.612068	+	0.790805i	$0.709662\pi$
$702$	16.9136	+	2.29563i	0.638362	+	0.0866431i
$703$	−6.44909	−	3.72338i	−0.243232	−	0.140430i
$704$	4.70257	−	4.11255i	0.177235	−	0.154997i
$705$	1.07470	+	3.55891i	0.0404755	+	0.134036i
$706$	−5.36721	+	3.33583i	−0.201998	+	0.125546i
$707$	−2.06102	+	38.9449i	−0.0775128	+	1.46467i
$708$	−18.3151	−	15.0836i	−0.688323	−	0.566875i
$709$		−	33.8405i		−	1.27091i	−0.772139	−	0.635454i	$-0.780813\pi$
$709$		−	33.8405i		−	1.27091i	0.772139	−	0.635454i	$-0.219187\pi$
$710$	−0.623604	+	1.16603i	−0.0234035	+	0.0437605i
$711$	22.2205	−	1.40029i	0.833334	−	0.0525151i
$712$	28.2828	−	20.2376i	1.05994	−	0.758435i
$713$	7.67340	+	4.43024i	0.287371	+	0.165914i
$714$	−11.6463	−	2.98259i	−0.435851	−	0.111621i
$715$	0.219413	+	0.380035i	0.00820560	+	0.0142125i
$716$	−6.69770	−	3.30678i	−0.250305	−	0.123580i
$717$	−4.45606	−	1.04492i	−0.166414	−	0.0390231i
$718$	2.09479	+	3.37044i	0.0781770	+	0.125784i
$719$	7.19738	+	12.4662i	0.268417	+	0.464912i	0.968453	−	0.249195i	$-0.0801662\pi$
$719$	7.19738	+	12.4662i	0.268417	+	0.464912i	−0.700036	+	0.714107i	$0.746833\pi$
$720$	2.74591	+	0.942650i	0.102334	+	0.0351305i
$721$	−7.37731	−	14.4971i	−0.274745	−	0.539902i
$722$	−11.2232	+	20.9854i	−0.417683	+	0.780996i
$723$	45.7498	+	10.7280i	1.70145	+	0.398980i
$724$	1.48956	+	22.8881i	0.0553592	+	0.850630i
$725$	30.8496			1.14573
$726$	−8.14498	−	24.1122i	−0.302289	−	0.894887i
$727$	−37.1604	−	21.4546i	−1.37820	−	0.795706i	−0.386259	−	0.922390i	$-0.626233\pi$
$727$	−37.1604	−	21.4546i	−1.37820	−	0.795706i	−0.991943	+	0.126685i	$0.959566\pi$
$728$	−17.3646	+	0.775159i	−0.643575	+	0.0287293i
$729$	5.06749	+	26.5202i	0.187685	+	0.982229i
$730$	−1.82339	−	2.93376i	−0.0674866	−	0.108583i
$731$	12.1875	−	7.03647i	0.450772	−	0.260253i
$732$	0.785534	+	0.646934i	0.0290342	+	0.0239114i
$733$	−39.5735	−	22.8477i	−1.46168	−	0.843901i	−0.462590	−	0.886572i	$-0.653080\pi$
$733$	−39.5735	−	22.8477i	−1.46168	−	0.843901i	−0.999089	+	0.0426716i	$0.986413\pi$
$734$	−35.4211	+	22.0149i	−1.30742	+	0.812586i
$735$	−2.22235	+	1.91451i	−0.0819727	+	0.0706178i
$736$	2.71122	−	7.17843i	0.0999371	−	0.264600i
$737$	−4.02843	+	2.32581i	−0.148389	+	0.0856725i
$738$	−22.9368	−	32.1946i	−0.844316	−	1.18510i
$739$	−15.7565	+	27.2911i	−0.579613	+	1.00392i	0.415910	+	0.909406i	$0.363463\pi$
$739$	−15.7565	+	27.2911i	−0.579613	+	1.00392i	−0.995524	+	0.0945141i	$0.969870\pi$
$740$	−0.158771	−	2.43962i	−0.00583654	−	0.0896823i
$741$	5.67633	−	1.71410i	0.208525	−	0.0629692i
$742$	−10.1680	+	5.59740i	−0.373279	+	0.205487i
$743$	19.7692	+	34.2413i	0.725262	+	1.25619i	0.958866	+	0.283859i	$0.0916147\pi$
$743$	19.7692	+	34.2413i	0.725262	+	1.25619i	−0.233604	+	0.972332i	$0.575052\pi$
$744$	25.3494	+	19.5299i	0.929353	+	0.716001i
$745$	−1.14697	−	1.98661i	−0.0420217	−	0.0727837i
$746$	30.1366	+	16.1173i	1.10338	+	0.590096i
$747$	7.94526	−	16.0098i	0.290702	−	0.585766i
$748$	2.89109	−	0.188153i	0.105709	−	0.00687956i
$749$	23.1778	+	1.22660i	0.846897	+	0.0448191i
$750$	3.89110	−	4.42365i	0.142083	−	0.161529i
$751$	−13.6631	−	7.88840i	−0.498574	−	0.287852i	0.229551	−	0.973297i	$-0.426274\pi$
$751$	−13.6631	−	7.88840i	−0.498574	−	0.287852i	−0.728124	+	0.685445i	$0.759608\pi$
$752$	35.1877	−	4.59953i	1.28316	−	0.167727i
$753$	5.94516	+	5.58230i	0.216654	+	0.203430i
$754$	0.666258	+	20.4966i	0.0242637	+	0.746444i
$755$		−	4.70330i		−	0.171171i
$756$	−9.89965	−	25.6515i	−0.360047	−	0.932934i
$757$			41.1609i			1.49602i	0.663688	+	0.748010i	$0.268990\pi$
$757$			41.1609i			1.49602i	−0.663688	+	0.748010i	$0.731010\pi$
$758$	32.4194	−	1.05382i	1.17753	−	0.0382763i
$759$	1.33750	+	1.25587i	0.0485483	+	0.0455852i
$760$	1.00376	−	0.0981603i	0.0364101	−	0.00356065i
$761$	−33.4978	−	19.3399i	−1.21429	−	0.701073i	−0.250602	−	0.968090i	$-0.580628\pi$
$761$	−33.4978	−	19.3399i	−1.21429	−	0.701073i	−0.963692	+	0.267018i	$0.913962\pi$
$762$	−11.8401	−	10.4147i	−0.428923	−	0.377286i
$763$	−17.7316	−	34.8443i	−0.641927	−	1.26145i
$764$	44.0953	−	2.86973i	1.59531	−	0.103823i
$765$	0.745202	+	1.12137i	0.0269428	+	0.0405432i
$766$	13.6120	−	25.4522i	0.491822	−	0.919624i
$767$	−7.95462	−	13.7778i	−0.287225	−	0.497488i
$768$	13.1395	−	24.3999i	0.474131	−	0.880454i
$769$	16.1820	+	28.0280i	0.583537	+	1.01072i	0.995056	+	0.0993151i	$0.0316652\pi$
$769$	16.1820	+	28.0280i	0.583537	+	1.01072i	−0.411519	+	0.911401i	$0.635001\pi$
$770$	0.365848	−	0.604859i	0.0131842	−	0.0217976i
$771$	19.7194	−	5.95474i	0.710177	−	0.214455i
$772$	14.7442	−	0.959555i	0.530655	−	0.0345351i
$773$	−12.4009	+	21.4791i	−0.446031	+	0.772548i	−0.998123	−	0.0612350i	$-0.980496\pi$
$773$	−12.4009	+	21.4791i	−0.446031	+	0.772548i	0.552093	+	0.833783i	$0.313829\pi$
$774$	29.2803	+	13.3638i	1.05246	+	0.480350i
$775$	27.9533	−	16.1388i	1.00411	−	0.579724i
$776$	9.82079	−	21.6351i	0.352546	−	0.776655i
$777$	−16.7189	+	16.0181i	−0.599788	+	0.574645i
$778$	21.5471	+	34.6683i	0.772500	+	1.24292i
$779$	−11.8924	−	6.86611i	−0.426091	−	0.246004i
$780$	1.50266	+	1.23753i	0.0538040	+	0.0443108i
$781$	−2.61365	+	1.50899i	−0.0935239	+	0.0539960i
$782$	3.02243	−	1.87850i	0.108082	−	0.0671750i
$783$	−30.4033	+	11.3123i	−1.08653	+	0.404267i
$784$	14.5834	+	23.9024i	0.520837	+	0.853656i
$785$	−2.98100	−	1.72108i	−0.106396	−	0.0614280i
$786$	−0.436677	+	0.147507i	−0.0155757	+	0.00526141i
$787$	50.6520			1.80555			0.902775	−	0.430114i	$-0.141527\pi$
$787$	50.6520			1.80555			0.902775	+	0.430114i	$0.141527\pi$
$788$	−24.6490	+	1.60416i	−0.878083	+	0.0571458i
$789$	−17.9523	−	4.20970i	−0.639118	−	0.149869i
$790$	2.23914	+	1.19751i	0.0796650	+	0.0426054i
$791$	−31.7893	−	1.68234i	−1.13030	−	0.0598171i
$792$	4.18713	+	5.13552i	0.148783	+	0.182483i
$793$	0.341174	+	0.590930i	0.0121154	+	0.0209846i
$794$	−19.8742	+	12.3522i	−0.705307	+	0.438363i
$795$	1.26556	+	0.296766i	0.0448849	+	0.0105252i
$796$	−39.6872	−	19.5943i	−1.40668	−	0.694502i
$797$	−17.6813	−	30.6249i	−0.626304	−	1.08479i	−0.988287	−	0.152606i	$-0.951233\pi$
$797$	−17.6813	−	30.6249i	−0.626304	−	1.08479i	0.361983	−	0.932185i	$-0.382100\pi$
$798$	−6.82852	−	6.67873i	−0.241727	−	0.236424i
$799$	14.2527	+	8.22879i	0.504224	+	0.291114i
$800$	−17.7084	−	21.6285i	−0.626085	−	0.764684i
$801$	20.4162	+	30.7220i	0.721371	+	1.08551i
$802$	−5.32726	−	2.84906i	−0.188112	−	0.100604i
$803$		−	7.88375i		−	0.278211i
$804$	−13.1180	+	15.9285i	−0.462637	+	0.561753i
$805$	0.0458862	−	0.867061i	0.00161728	−	0.0305599i
$806$	11.3264	+	18.2237i	0.398956	+	0.641903i
$807$	11.3155	+	37.4719i	0.398326	+	1.31907i
$808$	−24.2613	−	33.9061i	−0.853508	−	1.19281i
$809$	12.1986	+	7.04288i	0.428881	+	0.247614i	0.698870	−	0.715249i	$-0.253687\pi$
$809$	12.1986	+	7.04288i	0.428881	+	0.247614i	−0.269989	+	0.962863i	$0.587020\pi$
$810$	−1.09983	+	2.87620i	−0.0386443	+	0.101059i
$811$	20.7178			0.727499			0.363749	−	0.931497i	$-0.381496\pi$
$811$	20.7178			0.727499			0.363749	+	0.931497i	$0.381496\pi$
$812$	28.4069	−	16.8629i	0.996885	−	0.591771i
$813$	5.44065	−	23.2017i	0.190812	−	0.813719i
$814$	2.63146	−	4.92038i	0.0922325	−	0.172459i
$815$	−2.51964			−0.0882593
$816$	11.7181	−	5.27865i	0.410216	−	0.184790i
$817$	11.1810			0.391175
$818$	−23.3891	+	0.760281i	−0.817782	+	0.0265826i
$819$	−0.185514	−	18.4353i	−0.00648240	−	0.644183i
$820$	−0.292782	−	4.49878i	−0.0102244	−	0.157104i
$821$	−8.49267			−0.296396			−0.148198	−	0.988958i	$-0.547347\pi$
$821$	−8.49267			−0.296396			−0.148198	+	0.988958i	$0.547347\pi$
$822$	8.41144	−	41.9607i	0.293383	−	1.46355i
$823$			53.5027i			1.86499i	0.361186	+	0.932494i	$0.382372\pi$
$823$			53.5027i			1.86499i	−0.361186	+	0.932494i	$0.617628\pi$
$824$	15.8344	+	7.18768i	0.551617	+	0.250395i
$825$	6.39824	−	1.93210i	0.222758	−	0.0672672i
$826$	−13.2635	+	21.9286i	−0.461495	+	0.762993i
$827$			0.526882i			0.0183215i	0.999958	+	0.00916074i	$0.00291599\pi$
$827$			0.526882i			0.0183215i	−0.999958	+	0.00916074i	$0.997084\pi$
$828$	7.51000	+	3.13696i	0.260991	+	0.109017i
$829$	21.1669	+	12.2207i	0.735158	+	0.424444i	0.820306	−	0.571924i	$-0.193803\pi$
$829$	21.1669	+	12.2207i	0.735158	+	0.424444i	−0.0851479	+	0.996368i	$0.527136\pi$
$830$	1.73124	−	1.07600i	0.0600923	−	0.0373486i
$831$	−6.10226	+	26.0232i	−0.211685	+	0.902733i
$832$	13.9876	−	12.2326i	0.484934	−	0.424090i
$833$	−1.37057	+	12.9128i	−0.0474875	+	0.447403i
$834$	36.6622	+	7.34929i	1.26951	+	0.254485i
$835$	−3.58866			−0.124191
$836$	2.06400	+	1.01904i	0.0713850	+	0.0352441i
$837$	−21.6309	+	26.1555i	−0.747674	+	0.904067i
$838$	−15.1909	+	9.44144i	−0.524760	+	0.326149i
$839$	−4.55553	+	7.89042i	−0.157275	+	0.272407i	−0.933885	−	0.357574i	$-0.883604\pi$
$839$	−4.55553	+	7.89042i	−0.157275	+	0.272407i	0.776610	+	0.629981i	$0.216937\pi$
$840$	0.579047	−	3.08190i	0.0199790	−	0.106335i
$841$	−4.98760	−	8.63878i	−0.171986	−	0.297889i
$842$	−19.1686	−	10.2515i	−0.660593	−	0.353290i
$843$	−46.8400	+	14.1445i	−1.61326	+	0.487161i
$844$	−25.7865	−	38.6307i	−0.887607	−	1.32972i
$845$	−0.919932	−	1.59337i	−0.0316466	−	0.0548136i
$846$	3.58647	+	37.4684i	0.123305	+	1.28819i
$847$	−24.5001	+	12.4676i	−0.841832	+	0.428392i
$848$	4.75900	−	11.4593i	0.163425	−	0.393515i
$849$	−2.58635	+	2.75447i	−0.0887632	+	0.0945330i
$850$	−0.421170	−	12.9568i	−0.0144460	−	0.444415i
$851$		−	6.85369i		−	0.234942i
$852$	−8.51100	+	10.3344i	−0.291582	+	0.354051i
$853$	−7.47877	−	4.31787i	−0.256068	−	0.147841i	0.366472	−	0.930429i	$-0.380566\pi$
$853$	−7.47877	−	4.31787i	−0.256068	−	0.147841i	−0.622540	+	0.782588i	$0.713899\pi$
$854$	0.568870	−	0.940517i	0.0194663	−	0.0321838i
$855$	0.0672785	+	1.06761i	0.00230088	+	0.0365114i
$856$	−20.1790	+	14.4389i	−0.689702	+	0.493512i
$857$	32.8184	−	18.9477i	1.12105	−	0.647241i	0.179384	−	0.983779i	$-0.442590\pi$
$857$	32.8184	−	18.9477i	1.12105	−	0.647241i	0.941670	+	0.336539i	$0.109256\pi$
$858$	1.42188	+	4.20929i	0.0485422	+	0.143703i
$859$	18.7339	−	32.4480i	0.639191	−	1.10711i	−0.346420	−	0.938080i	$-0.612603\pi$
$859$	18.7339	−	32.4480i	0.639191	−	1.10711i	0.985611	−	0.169031i	$-0.0540639\pi$
$860$	2.03795	+	3.05306i	0.0694936	+	0.104108i
$861$	−30.8305	+	29.5381i	−1.05070	+	1.00666i
$862$	3.12366	−	5.84072i	0.106392	−	0.198936i
$863$	−9.65578	−	16.7243i	−0.328687	−	0.569302i	0.653565	−	0.756870i	$-0.273273\pi$
$863$	−9.65578	−	16.7243i	−0.328687	−	0.569302i	−0.982252	+	0.187569i	$0.939939\pi$
$864$	25.3831	+	14.8221i	0.863552	+	0.504260i
$865$	−2.69354	+	4.66534i	−0.0915830	+	0.158626i
$866$	−1.94727	+	0.0632974i	−0.0661710	+	0.00215093i
$867$	−22.8643	−	5.36153i	−0.776512	−	0.182087i
$868$	16.9181	−	30.1406i	0.574238	−	1.02304i
$869$	2.89772	+	5.01900i	0.0982985	+	0.170258i
$870$	−3.62753	−	0.727175i	−0.122985	−	0.0246535i
$871$	−11.9824	+	6.91806i	−0.406009	+	0.234410i
$872$	38.0585	+	17.2758i	1.28882	+	0.585033i
$873$	22.5740	+	11.2029i	0.764014	+	0.379162i
$874$	2.82586	−	0.0918566i	0.0955862	−	0.00310710i
$875$	−5.33511	−	3.46855i	−0.180359	−	0.117258i
$876$	−12.2629	−	32.7523i	−0.414324	−	1.10660i
$877$	44.1490	+	25.4894i	1.49080	+	0.860716i	0.999945	−	0.0105223i	$-0.00334941\pi$
$877$	44.1490	+	25.4894i	1.49080	+	0.860716i	0.490860	+	0.871239i	$0.336683\pi$
$878$	0.354154	+	10.8951i	0.0119521	+	0.367693i
$879$	12.0775	+	2.83209i	0.407363	+	0.0955239i
$880$	0.0979476	+	0.749327i	0.00330181	+	0.0252598i
$881$			17.9181i			0.603677i	0.953359	+	0.301839i	$0.0976004\pi$
$881$			17.9181i			0.603677i	−0.953359	+	0.301839i	$0.902400\pi$
$882$	−25.8714	+	14.5832i	−0.871137	+	0.491040i
$883$	35.9401			1.20948			0.604740	−	0.796423i	$-0.293277\pi$
$883$	35.9401			1.20948			0.604740	+	0.796423i	$0.293277\pi$
$884$	8.59947	−	0.559655i	0.289231	−	0.0188232i
$885$	2.74760	−	0.829704i	0.0923596	−	0.0278902i
$886$	−0.609333	−	18.7454i	−0.0204710	−	0.629765i
$887$	−4.85139	+	8.40285i	−0.162894	+	0.282140i	−0.935905	−	0.352252i	$-0.885416\pi$
$887$	−4.85139	+	8.40285i	−0.162894	+	0.282140i	0.773012	+	0.634392i	$0.218749\pi$
$888$	3.27869	−	24.5344i	0.110025	−	0.823321i
$889$	−9.28376	+	14.2797i	−0.311367	+	0.478926i
$890$	0.136677	+	4.20471i	0.00458143	+	0.140942i
$891$	−5.59720	+	4.25032i	−0.187513	+	0.142391i
$892$	−12.5431	−	6.19274i	−0.419973	−	0.207348i
$893$	6.53784	+	11.3239i	0.218780	+	0.378939i
$894$	−7.43278	−	22.0038i	−0.248589	−	0.735917i
$895$	0.782512	−	0.451783i	0.0261565	−	0.0151015i
$896$	−28.1286	−	10.2362i	−0.939711	−	0.341969i
$897$	3.97836	+	3.73555i	0.132834	+	0.124726i
$898$	0.0822928	+	2.53164i	0.00274615	+	0.0844819i
$899$	−35.3159	−	20.3897i	−1.17785	−	0.680033i
$900$	23.5756	−	17.9790i	0.785853	−	0.599299i
$901$	4.98353	−	2.87724i	0.166025	−	0.0958549i
$902$	4.85254	−	9.07343i	0.161572	−	0.302112i
$903$	9.71441	−	33.3798i	0.323275	−	1.11081i
$904$	27.6763	−	19.8036i	0.920501	−	0.658658i
$905$	−2.40284	−	1.38728i	−0.0798731	−	0.0461148i
$906$	9.35952	−	46.6903i	0.310949	−	1.55118i
$907$	−2.62823	−	4.55223i	−0.0872691	−	0.151154i	0.819087	−	0.573670i	$-0.194481\pi$
$907$	−2.62823	−	4.55223i	−0.0872691	−	0.151154i	−0.906356	+	0.422515i	$0.861147\pi$
$908$	40.9969	−	27.3659i	1.36053	−	0.908170i
$909$	36.8302	−	24.4754i	1.22158	−	0.811798i
$910$	1.08820	−	1.79913i	0.0360736	−	0.0596407i
$911$	15.2901	−	26.4832i	0.506584	−	0.877428i	−0.493387	−	0.869810i	$-0.664242\pi$
$911$	15.2901	−	26.4832i	0.506584	−	0.877428i	0.999971	−	0.00761875i	$-0.00242515\pi$
$912$	10.1598	+	1.02302i	0.336424	+	0.0338756i
$913$	4.65229			0.153968
$914$	−14.1189	+	0.458944i	−0.467011	+	0.0151805i
$915$	−0.117845	+	0.0355860i	−0.00389583	+	0.00117644i
$916$	−13.5443	−	6.68710i	−0.447518	−	0.220948i
$917$	0.225791	+	0.443701i	0.00745627	+	0.0146523i
$918$	5.16621	+	12.6149i	0.170510	+	0.416355i
$919$	−12.7999	+	7.39005i	−0.422231	+	0.243775i	−0.696031	−	0.718011i	$-0.745053\pi$
$919$	−12.7999	+	7.39005i	−0.422231	+	0.243775i	0.273800	+	0.961787i	$0.411719\pi$
$920$	0.540147	+	0.754878i	0.0178081	+	0.0248876i
$921$	−12.5738	+	13.3911i	−0.414321	+	0.441252i
$922$	−27.8619	+	52.0971i	−0.917584	+	1.71573i
$923$	−7.77422	+	4.48845i	−0.255892	+	0.147739i
$924$	4.83549	−	5.27648i	0.159076	−	0.173584i
$925$	−21.6222	−	12.4836i	−0.710934	−	0.410458i
$926$	−34.5233	+	21.4569i	−1.13451	+	0.705118i
$927$	−8.19925	+	16.5216i	−0.269299	+	0.542639i
$928$	−12.4781	+	33.0379i	−0.409614	+	1.08452i
$929$		−	14.4318i		−	0.473493i	−0.971571	−	0.236747i	$-0.923919\pi$
$929$		−	14.4318i		−	0.473493i	0.971571	−	0.236747i	$-0.0760812\pi$
$930$	−3.66737	+	1.23882i	−0.120258	+	0.0406226i
$931$	−6.07271	+	8.34039i	−0.199025	+	0.273345i
$932$	34.9521	−	23.3309i	1.14489	−	0.764230i
$933$	5.44656	−	5.80059i	0.178312	−	0.189903i
$934$	31.4249	−	19.5312i	1.02825	−	0.639081i
$935$	−0.175233	+	0.303513i	−0.00573074	+	0.00992594i
$936$	12.4545	+	15.2754i	0.407087	+	0.499293i
$937$	−20.2312			−0.660925			−0.330463	−	0.943819i	$-0.607205\pi$
$937$	−20.2312			−0.660925			−0.330463	+	0.943819i	$0.607205\pi$
$938$	19.0711	+	11.5351i	0.622693	+	0.376635i
$939$	22.8679	−	24.3543i	0.746265	−	0.794774i
$940$	−1.90041	+	3.84918i	−0.0619847	+	0.125546i
$941$	−21.6376			−0.705364			−0.352682	−	0.935743i	$-0.614730\pi$
$941$	−21.6376			−0.705364			−0.352682	+	0.935743i	$0.614730\pi$
$942$	−26.1678	−	23.0176i	−0.852594	−	0.749953i
$943$		−	12.6386i		−	0.411568i
$944$	−3.55099	−	27.1661i	−0.115575	−	0.884182i
$945$	3.24568	+	0.726715i	0.105582	+	0.0236400i
$946$	0.272187	+	8.37351i	0.00884956	+	0.272246i
$947$			30.3659i			0.986758i	0.869815	+	0.493379i	$0.164238\pi$
$947$			30.3659i			0.986758i	−0.869815	+	0.493379i	$0.835762\pi$
$948$	19.8452	+	16.3437i	0.644542	+	0.530819i
$949$		−	23.4499i		−	0.761217i
$950$	4.85735	−	9.08242i	0.157593	−	0.294672i
$951$	−11.9719	+	12.7501i	−0.388216	+	0.413451i
$952$	−7.47020	−	11.7006i	−0.242111	−	0.379219i
$953$			43.3466i			1.40413i	0.712111	+	0.702067i	$0.247739\pi$
$953$			43.3466i			1.40413i	−0.712111	+	0.702067i	$0.752261\pi$
$954$	11.9729	+	5.46450i	0.387635	+	0.176920i
$955$	−2.67268	+	4.62922i	−0.0864859	+	0.149798i
$956$	−2.93415	−	4.39566i	−0.0948973	−	0.142166i
$957$	−6.15571	−	5.78000i	−0.198986	−	0.186841i
$958$	22.6314	+	36.4130i	0.731188	+	1.17645i
$959$	−46.1598	−	2.44285i	−1.49058	−	0.0788837i
$960$	1.57246	+	2.96066i	0.0507511	+	0.0955548i
$961$	−11.6670			−0.376354
$962$	7.82718	−	14.6355i	0.252358	−	0.471868i
$963$	−14.5664	−	21.9192i	−0.469394	−	0.706337i
$964$	30.1246	+	45.1297i	0.970247	+	1.45353i
$965$	−0.893667	+	1.54788i	−0.0287682	+	0.0498279i
$966$	2.18096	−	8.51611i	0.0701713	−	0.274001i
$967$	15.3923	−	8.88675i	0.494983	−	0.285779i	−0.231656	−	0.972798i	$-0.574414\pi$
$967$	15.3923	−	8.88675i	0.494983	−	0.285779i	0.726639	+	0.687019i	$0.241081\pi$
$968$	12.1471	−	26.7600i	0.390423	−	0.860099i
$969$	3.45224	+	3.24153i	0.110902	+	0.104133i
$970$	1.51718	+	2.44108i	0.0487137	+	0.0783783i
$971$	11.0683	−	6.39031i	0.355200	−	0.205075i	−0.311773	−	0.950157i	$-0.600923\pi$
$971$	11.0683	−	6.39031i	0.355200	−	0.205075i	0.666973	+	0.745082i	$0.267590\pi$
$972$	−16.6418	+	26.3638i	−0.533787	+	0.845619i
$973$	2.13438	−	40.3310i	0.0684251	−	1.29295i
$974$	−25.8607	−	13.8305i	−0.828630	−	0.443158i
$975$	19.0314	−	5.74697i	0.609491	−	0.184050i
$976$	0.152302	+	1.16516i	0.00487507	+	0.0372957i
$977$		−	10.7928i		−	0.345293i	−0.984984	−	0.172647i	$-0.944768\pi$
$977$		−	10.7928i		−	0.345293i	0.984984	−	0.172647i	$-0.0552318\pi$
$978$	−25.0129	−	5.01407i	−0.799823	−	0.160332i
$979$	−4.80084	+	8.31530i	−0.153436	+	0.265758i
$980$	−3.38426	−	0.138005i	−0.108106	−	0.00440841i
$981$	−19.7072	+	39.7101i	−0.629201	+	1.26785i
$982$	44.7518	−	27.8141i	1.42809	−	0.887585i
$983$	19.9475	+	34.5501i	0.636226	+	1.10198i	0.986254	+	0.165236i	$0.0528387\pi$
$983$	19.9475	+	34.5501i	0.636226	+	1.10198i	−0.350028	+	0.936739i	$0.613828\pi$
$984$	6.04606	−	45.2427i	0.192741	−	1.44228i
$985$	1.49401	−	2.58770i	0.0476031	−	0.0824509i
$986$	−13.9104	+	8.64558i	−0.442997	+	0.275331i
$987$	39.4864	−	9.67950i	1.25687	−	0.308102i
$988$	6.13930	+	3.03109i	0.195317	+	0.0964318i
$989$	5.14528	+	8.91189i	0.163610	+	0.283382i
$990$	−0.797896	+	0.0763745i	−0.0253588	+	0.00242734i
$991$	42.1639	+	24.3434i	1.33938	+	0.773292i	0.986716	−	0.162457i	$-0.0519418\pi$
$991$	42.1639	+	24.3434i	1.33938	+	0.773292i	0.352666	+	0.935749i	$0.385275\pi$
$992$	5.97703	+	36.4639i	0.189771	+	1.15773i
$993$	−39.6073	+	42.1818i	−1.25690	+	1.33860i
$994$	12.3734	+	7.48400i	0.392459	+	0.237378i
$995$	4.63677	−	2.67704i	0.146996	−	0.0848679i
$996$	19.3275	−	7.23646i	0.612416	−	0.229296i
$997$	22.2655	−	12.8550i	0.705156	−	0.407122i	−0.104109	−	0.994566i	$-0.533199\pi$
$997$	22.2655	−	12.8550i	0.705156	−	0.407122i	0.809265	+	0.587444i	$0.199866\pi$
$998$	−2.83849	+	5.30750i	−0.0898509	+	0.168006i
$999$	25.8870	+	4.37435i	0.819029	+	0.138398i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	504.2.bt.a.11.1	✓	184
7.2	even	3		504.2.cy.a.443.61	yes	184
8.3	odd	2	inner	504.2.bt.a.11.92	yes	184
9.5	odd	6		504.2.cy.a.347.31	yes	184
56.51	odd	6		504.2.cy.a.443.31	yes	184
63.23	odd	6	inner	504.2.bt.a.275.92	yes	184
72.59	even	6		504.2.cy.a.347.61	yes	184
504.275	even	6	inner	504.2.bt.a.275.1	yes	184

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
504.2.bt.a.11.1	✓	184	1.1	even	1	trivial
504.2.bt.a.11.92	yes	184	8.3	odd	2	inner
504.2.bt.a.275.1	yes	184	504.275	even	6	inner
504.2.bt.a.275.92	yes	184	63.23	odd	6	inner
504.2.cy.a.347.31	yes	184	9.5	odd	6
504.2.cy.a.347.61	yes	184	72.59	even	6
504.2.cy.a.443.31	yes	184	56.51	odd	6
504.2.cy.a.443.61	yes	184	7.2	even	3

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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

\(f(q)\)	\(=\)	\(q+(-1.41347 + 0.0459458i) q^{2} +(1.18561 - 1.26267i) q^{3} +(1.99578 - 0.129886i) q^{4} +(-0.120967 + 0.209521i) q^{5} +(-1.61780 + 1.83922i) q^{6} +(2.21818 + 1.44212i) q^{7} +(-2.81500 + 0.275287i) q^{8} +(-0.188680 - 2.99406i) q^{9} +O(q^{10})\)	\(q+(-1.41347 + 0.0459458i) q^{2} +(1.18561 - 1.26267i) q^{3} +(1.99578 - 0.129886i) q^{4} +(-0.120967 + 0.209521i) q^{5} +(-1.61780 + 1.83922i) q^{6} +(2.21818 + 1.44212i) q^{7} +(-2.81500 + 0.275287i) q^{8} +(-0.188680 - 2.99406i) q^{9} +(0.161356 - 0.301709i) q^{10} +(0.676277 - 0.390449i) q^{11} +(2.20220 - 2.67401i) q^{12} +(2.01156 - 1.16138i) q^{13} +(-3.20158 - 1.93647i) q^{14} +(0.121137 + 0.401151i) q^{15} +(3.96626 - 0.518446i) q^{16} +(1.60652 + 0.927527i) q^{17} +(0.404257 + 4.22334i) q^{18} +(0.736926 + 1.27639i) q^{19} +(-0.214209 + 0.433869i) q^{20} +(4.45080 - 1.09105i) q^{21} +(-0.937955 + 0.582958i) q^{22} +(-0.678236 + 1.17474i) q^{23} +(-2.98988 + 3.88080i) q^{24} +(2.47073 + 4.27944i) q^{25} +(-2.78992 + 1.73399i) q^{26} +(-4.00422 - 3.31153i) q^{27} +(4.61430 + 2.59003i) q^{28} +(3.12151 - 5.40661i) q^{29} +(-0.189654 - 0.561447i) q^{30} -6.53200i q^{31} +(-5.58236 + 0.915039i) q^{32} +(0.308789 - 1.31683i) q^{33} +(-2.31338 - 1.23722i) q^{34} +(-0.570479 + 0.290306i) q^{35} +(-0.765449 - 5.95097i) q^{36} +(-4.37567 + 2.52629i) q^{37} +(-1.10027 - 1.77028i) q^{38} +(0.918482 - 3.91688i) q^{39} +(0.282843 - 0.623102i) q^{40} +(-8.06895 + 4.65861i) q^{41} +(-6.24093 + 1.74665i) q^{42} +(3.79313 - 6.56990i) q^{43} +(1.29898 - 0.867087i) q^{44} +(0.650142 + 0.322650i) q^{45} +(0.904690 - 1.69162i) q^{46} +8.87176 q^{47} +(4.04779 - 5.62276i) q^{48} +(2.84060 + 6.39773i) q^{49} +(-3.68892 - 5.93532i) q^{50} +(3.07586 - 0.928831i) q^{51} +(3.86379 - 2.57912i) q^{52} +(1.55103 - 2.68646i) q^{53} +(5.81198 + 4.49677i) q^{54} +0.188925i q^{55} +(-6.64116 - 3.44892i) q^{56} +(2.48537 + 0.582803i) q^{57} +(-4.16374 + 7.78548i) q^{58} -6.84930i q^{59} +(0.293866 + 0.784874i) q^{60} +0.293767i q^{61} +(0.300117 + 9.23276i) q^{62} +(3.89926 - 6.91345i) q^{63} +(7.84843 - 1.54986i) q^{64} +0.561952i q^{65} +(-0.375960 + 1.87549i) q^{66} -5.95678 q^{67} +(3.32674 + 1.64247i) q^{68} +(0.679190 + 2.24917i) q^{69} +(0.793015 - 0.436549i) q^{70} -3.86477 q^{71} +(1.35536 + 8.37634i) q^{72} +(5.04788 - 8.74318i) q^{73} +(6.06879 - 3.77187i) q^{74} +(8.33284 + 1.95400i) q^{75} +(1.63653 + 2.45168i) q^{76} +(2.06317 + 0.109186i) q^{77} +(-1.11828 + 5.57858i) q^{78} +7.42152i q^{79} +(-0.371161 + 0.893729i) q^{80} +(-8.92880 + 1.12984i) q^{81} +(11.1911 - 6.95552i) q^{82} +(5.15945 + 2.97881i) q^{83} +(8.74110 - 2.75558i) q^{84} +(-0.388672 + 0.224400i) q^{85} +(-5.05961 + 9.46062i) q^{86} +(-3.12590 - 10.3515i) q^{87} +(-1.79623 + 1.28528i) q^{88} +(-10.6484 + 6.14786i) q^{89} +(-0.933779 - 0.426184i) q^{90} +(6.13684 + 0.324771i) q^{91} +(-1.20103 + 2.43261i) q^{92} +(-8.24777 - 7.74437i) q^{93} +(-12.5399 + 0.407620i) q^{94} -0.356575 q^{95} +(-5.46308 + 8.13356i) q^{96} +(-4.20017 + 7.27491i) q^{97} +(-4.30905 - 8.91247i) q^{98} +(-1.29663 - 1.95114i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9}+O(q^{10}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9	\( 184 q - 2 q^{3} - 2 q^{4} - 2 q^{6} - 2 q^{9} - 6 q^{10} - 6 q^{11} - 8 q^{12} + 12 q^{14} - 2 q^{16} + 2 q^{18} - 4 q^{19} - 6 q^{20} + 2 q^{22} - 8 q^{24} - 74 q^{25} - 6 q^{26} - 8 q^{27} + 3 q^{30} - 14 q^{33} - 4 q^{34} + 30 q^{35} - 38 q^{36} + 39 q^{38} + 6 q^{40} - 12 q^{41} - 20 q^{42} - 4 q^{43} + 9 q^{44} - 6 q^{46} - 5 q^{48} - 2 q^{49} - 21 q^{50} - 34 q^{51} + 9 q^{52} + 47 q^{54} - 24 q^{56} + 4 q^{57} - 3 q^{58} - 11 q^{60} - 8 q^{64} - 26 q^{66} - 4 q^{67} - 42 q^{68} - 3 q^{70} + 52 q^{72} - 4 q^{73} + 27 q^{74} + 30 q^{75} + 2 q^{76} - 29 q^{78} + 87 q^{80} + 14 q^{81} - 4 q^{82} - 72 q^{83} - 59 q^{84} - 27 q^{86} - 7 q^{88} - 24 q^{89} - 49 q^{90} - 36 q^{91} - 36 q^{92} - 18 q^{94} + 23 q^{96} - 4 q^{97} + 57 q^{98} + 10 q^{99}+O(q^{100}) \) 184 * q - 2 * q^3 - 2 * q^4 - 2 * q^6 - 2 * q^9 - 6 * q^10 - 6 * q^11 - 8 * q^12 + 12 * q^14 - 2 * q^16 + 2 * q^18 - 4 * q^19 - 6 * q^20 + 2 * q^22 - 8 * q^24 - 74 * q^25 - 6 * q^26 - 8 * q^27 + 3 * q^30 - 14 * q^33 - 4 * q^34 + 30 * q^35 - 38 * q^36 + 39 * q^38 + 6 * q^40 - 12 * q^41 - 20 * q^42 - 4 * q^43 + 9 * q^44 - 6 * q^46 - 5 * q^48 - 2 * q^49 - 21 * q^50 - 34 * q^51 + 9 * q^52 + 47 * q^54 - 24 * q^56 + 4 * q^57 - 3 * q^58 - 11 * q^60 - 8 * q^64 - 26 * q^66 - 4 * q^67 - 42 * q^68 - 3 * q^70 + 52 * q^72 - 4 * q^73 + 27 * q^74 + 30 * q^75 + 2 * q^76 - 29 * q^78 + 87 * q^80 + 14 * q^81 - 4 * q^82 - 72 * q^83 - 59 * q^84 - 27 * q^86 - 7 * q^88 - 24 * q^89 - 49 * q^90 - 36 * q^91 - 36 * q^92 - 18 * q^94 + 23 * q^96 - 4 * q^97 + 57 * q^98 + 10 * q^99

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