LMFDB - Embedded newform 252.2.o.a.95.40

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(95,252)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(252, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 5, 4]))

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

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

chi := DirichletCharacter("252.95");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.o (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:	$2.01223013094$
Analytic rank:	$0$
Dimension:	$88$
Relative dimension:	$44$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			95.40
Character	$\chi$	$=$	252.95
Dual form			252.2.o.a.191.40

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.34745 + 0.429408i) q^{2} +(1.30657 - 1.13705i) q^{3} +(1.63122 + 1.15721i) q^{4} +0.501474i q^{5} +(2.24878 - 0.971066i) q^{6} +(-2.46962 - 0.949199i) q^{7} +(1.70106 + 2.25973i) q^{8} +(0.414227 - 2.97127i) q^{9} +O(q^{10})$	\(q+(1.34745 + 0.429408i) q^{2} +(1.30657 - 1.13705i) q^{3} +(1.63122 + 1.15721i) q^{4} +0.501474i q^{5} +(2.24878 - 0.971066i) q^{6} +(-2.46962 - 0.949199i) q^{7} +(1.70106 + 2.25973i) q^{8} +(0.414227 - 2.97127i) q^{9} +(-0.215337 + 0.675709i) q^{10} +1.69699 q^{11} +(3.44710 - 0.342812i) q^{12} +(-1.89819 + 3.28776i) q^{13} +(-2.92008 - 2.33947i) q^{14} +(0.570202 + 0.655209i) q^{15} +(1.32174 + 3.77531i) q^{16} +(-4.12962 - 2.38424i) q^{17} +(1.83403 - 3.82575i) q^{18} +(-0.0919457 + 0.0530849i) q^{19} +(-0.580309 + 0.818013i) q^{20} +(-4.30601 + 1.56789i) q^{21} +(2.28660 + 0.728699i) q^{22} -7.55994 q^{23} +(4.79198 + 1.01829i) q^{24} +4.74852 q^{25} +(-3.96950 + 3.61498i) q^{26} +(-2.83727 - 4.35315i) q^{27} +(-2.93007 - 4.40621i) q^{28} +(6.33235 - 3.65598i) q^{29} +(0.486964 + 1.12771i) q^{30} +(-3.51006 + 2.02653i) q^{31} +(0.159827 + 5.65460i) q^{32} +(2.21722 - 1.92956i) q^{33} +(-4.54063 - 4.98592i) q^{34} +(0.475999 - 1.23845i) q^{35} +(4.11406 - 4.36743i) q^{36} +(3.83900 + 6.64935i) q^{37} +(-0.146687 + 0.0320468i) q^{38} +(1.25825 + 6.45402i) q^{39} +(-1.13320 + 0.853039i) q^{40} +(-2.60966 - 1.50669i) q^{41} +(-6.47538 + 0.263618i) q^{42} +(-3.98023 + 2.29799i) q^{43} +(2.76815 + 1.96377i) q^{44} +(1.49001 + 0.207724i) q^{45} +(-10.1866 - 3.24630i) q^{46} +(2.03670 - 3.52768i) q^{47} +(6.01967 + 3.42980i) q^{48} +(5.19804 + 4.68832i) q^{49} +(6.39838 + 2.03905i) q^{50} +(-8.10663 + 1.58043i) q^{51} +(-6.90098 + 3.16646i) q^{52} +(-8.79953 - 5.08041i) q^{53} +(-1.95379 - 7.08398i) q^{54} +0.850995i q^{55} +(-2.05604 - 7.19532i) q^{56} +(-0.0597728 + 0.173906i) q^{57} +(10.1024 - 2.20708i) q^{58} +(1.67896 + 2.90805i) q^{59} +(0.171911 + 1.72863i) q^{60} +(0.919402 - 1.59245i) q^{61} +(-5.59982 + 1.22340i) q^{62} +(-3.84331 + 6.94471i) q^{63} +(-2.21277 + 7.68789i) q^{64} +(-1.64873 - 0.951893i) q^{65} +(3.81616 - 1.64789i) q^{66} +(3.38415 - 1.95384i) q^{67} +(-3.97726 - 8.66804i) q^{68} +(-9.87756 + 8.59604i) q^{69} +(1.17318 - 1.46435i) q^{70} +9.65339 q^{71} +(7.41889 - 4.11827i) q^{72} +(5.55175 - 9.61592i) q^{73} +(2.31756 + 10.6081i) q^{74} +(6.20426 - 5.39932i) q^{75} +(-0.211414 - 0.0198072i) q^{76} +(-4.19091 - 1.61078i) q^{77} +(-1.07599 + 9.23674i) q^{78} +(4.07338 + 2.35177i) q^{79} +(-1.89322 + 0.662820i) q^{80} +(-8.65683 - 2.46155i) q^{81} +(-2.86939 - 3.15079i) q^{82} +(-6.75864 - 11.7063i) q^{83} +(-8.83842 - 2.42537i) q^{84} +(1.19563 - 2.07090i) q^{85} +(-6.34992 + 1.38727i) q^{86} +(4.11659 - 11.9770i) q^{87} +(2.88668 + 3.83473i) q^{88} +(4.73824 - 2.73562i) q^{89} +(1.91851 + 0.919720i) q^{90} +(7.80855 - 6.31776i) q^{91} +(-12.3319 - 8.74842i) q^{92} +(-2.28185 + 6.63892i) q^{93} +(4.25916 - 3.87877i) q^{94} +(-0.0266207 - 0.0461084i) q^{95} +(6.63839 + 7.20637i) q^{96} +(6.45605 + 11.1822i) q^{97} +(4.99087 + 8.54934i) q^{98} +(0.702937 - 5.04220i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	$ 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) $ 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/252\mathbb{Z}\right)^\times$.

$n$	$29$	$73$	$127$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{2}{3}\right)$	$-1$

Coefficient data

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

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

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

$2$	1.34745	+	0.429408i	0.952788	+	0.303637i
$2$	1.34745	+	0.429408i	0.952788	+	0.303637i
$3$	1.30657	−	1.13705i	0.754346	−	0.656477i
$3$	1.30657	−	1.13705i	0.754346	−	0.656477i
$4$	1.63122	+	1.15721i	0.815609	+	0.578604i
$5$			0.501474i			0.224266i	0.993693	+	0.112133i	$0.0357683\pi$
$5$			0.501474i			0.224266i	−0.993693	+	0.112133i	$0.964232\pi$
$6$	2.24878	−	0.971066i	0.918062	−	0.396436i
$7$	−2.46962	−	0.949199i	−0.933428	−	0.358764i
$7$	−2.46962	−	0.949199i	−0.933428	−	0.358764i
$8$	1.70106	+	2.25973i	0.601417	+	0.798936i
$9$	0.414227	−	2.97127i	0.138076	−	0.990422i
$10$	−0.215337	+	0.675709i	−0.0680955	+	0.213678i
$11$	1.69699			0.511661			0.255830	−	0.966722i	$-0.417651\pi$
$11$	1.69699			0.511661			0.255830	+	0.966722i	$0.417651\pi$
$12$	3.44710	−	0.342812i	0.995091	−	0.0989613i
$13$	−1.89819	+	3.28776i	−0.526463	+	0.911861i	0.473061	+	0.881030i	$0.343149\pi$
$13$	−1.89819	+	3.28776i	−0.526463	+	0.911861i	−0.999525	+	0.0308317i	$0.990184\pi$
$14$	−2.92008	−	2.33947i	−0.780425	−	0.625249i
$15$	0.570202	+	0.655209i	0.147226	+	0.169174i
$16$	1.32174	+	3.77531i	0.330436	+	0.943828i
$17$	−4.12962	−	2.38424i	−1.00158	−	0.578263i	−0.0928651	−	0.995679i	$-0.529603\pi$
$17$	−4.12962	−	2.38424i	−1.00158	−	0.578263i	−0.908716	+	0.417416i	$0.862936\pi$
$18$	1.83403	−	3.82575i	0.432286	−	0.901737i
$19$	−0.0919457	+	0.0530849i	−0.0210938	+	0.0121785i	−0.510510	−	0.859872i	$-0.670543\pi$
$19$	−0.0919457	+	0.0530849i	−0.0210938	+	0.0121785i	0.489416	+	0.872050i	$0.337210\pi$
$20$	−0.580309	+	0.818013i	−0.129761	+	0.182913i
$21$	−4.30601	+	1.56789i	−0.939648	+	0.342143i
$22$	2.28660	+	0.728699i	0.487504	+	0.155359i
$23$	−7.55994			−1.57636			−0.788178	−	0.615447i	$-0.788976\pi$
$23$	−7.55994			−1.57636			−0.788178	+	0.615447i	$0.788976\pi$
$24$	4.79198	+	1.01829i	0.978159	+	0.207858i
$25$	4.74852			0.949705
$26$	−3.96950	+	3.61498i	−0.778483	+	0.708956i
$27$	−2.83727	−	4.35315i	−0.546032	−	0.837764i
$28$	−2.93007	−	4.40621i	−0.553731	−	0.832696i
$29$	6.33235	−	3.65598i	1.17589	−	0.678899i	0.220828	−	0.975313i	$-0.429124\pi$
$29$	6.33235	−	3.65598i	1.17589	−	0.678899i	0.955060	+	0.296413i	$0.0957906\pi$
$30$	0.486964	+	1.12771i	0.0889071	+	0.205890i
$31$	−3.51006	+	2.02653i	−0.630425	+	0.363976i	−0.780917	−	0.624635i	$-0.785248\pi$
$31$	−3.51006	+	2.02653i	−0.630425	+	0.363976i	0.150492	+	0.988611i	$0.451914\pi$
$32$	0.159827	+	5.65460i	0.0282537	+	0.999601i
$33$	2.21722	−	1.92956i	0.385969	−	0.335894i
$34$	−4.54063	−	4.98592i	−0.778712	−	0.855079i
$35$	0.475999	−	1.23845i	0.0804585	−	0.209336i
$36$	4.11406	−	4.36743i	0.685677	−	0.727906i
$37$	3.83900	+	6.64935i	0.631128	+	1.09315i	0.987321	+	0.158734i	$0.0507411\pi$
$37$	3.83900	+	6.64935i	0.631128	+	1.09315i	−0.356193	+	0.934412i	$0.615926\pi$
$38$	−0.146687	+	0.0320468i	−0.0237957	+	0.00519867i
$39$	1.25825	+	6.45402i	0.201481	+	1.03347i
$40$	−1.13320	+	0.853039i	−0.179174	+	0.134877i
$41$	−2.60966	−	1.50669i	−0.407560	−	0.235305i	0.282181	−	0.959361i	$-0.408942\pi$
$41$	−2.60966	−	1.50669i	−0.407560	−	0.235305i	−0.689741	+	0.724056i	$0.742276\pi$
$42$	−6.47538	+	0.263618i	−0.999172	+	0.0406771i
$43$	−3.98023	+	2.29799i	−0.606980	+	0.350440i	−0.771783	−	0.635887i	$-0.780635\pi$
$43$	−3.98023	+	2.29799i	−0.606980	+	0.350440i	0.164803	+	0.986327i	$0.447301\pi$
$44$	2.76815	+	1.96377i	0.417315	+	0.296049i
$45$	1.49001	+	0.207724i	0.222118	+	0.0309657i
$46$	−10.1866	−	3.24630i	−1.50193	−	0.478641i
$47$	2.03670	−	3.52768i	0.297084	−	0.514564i	−0.678384	−	0.734708i	$-0.737319\pi$
$47$	2.03670	−	3.52768i	0.297084	−	0.514564i	0.975467	+	0.220144i	$0.0706526\pi$
$48$	6.01967	+	3.42980i	0.868865	+	0.495050i
$49$	5.19804	+	4.68832i	0.742577	+	0.669760i
$50$	6.39838	+	2.03905i	0.904867	+	0.288366i
$51$	−8.10663	+	1.58043i	−1.13515	+	0.221305i
$52$	−6.90098	+	3.16646i	−0.956994	+	0.439109i
$53$	−8.79953	−	5.08041i	−1.20871	−	0.697848i	−0.246231	−	0.969211i	$-0.579192\pi$
$53$	−8.79953	−	5.08041i	−1.20871	−	0.697848i	−0.962477	+	0.271363i	$0.912526\pi$
$54$	−1.95379	−	7.08398i	−0.265877	−	0.964007i
$55$			0.850995i			0.114748i
$56$	−2.05604	−	7.19532i	−0.274750	−	0.961516i
$57$	−0.0597728	+	0.173906i	−0.00791710	+	0.0230344i
$58$	10.1024	−	2.20708i	1.32651	−	0.289804i
$59$	1.67896	+	2.90805i	0.218582	+	0.378595i	0.954375	−	0.298612i	$-0.0965235\pi$
$59$	1.67896	+	2.90805i	0.218582	+	0.378595i	−0.735793	+	0.677207i	$0.763190\pi$
$60$	0.171911	+	1.72863i	0.0221937	+	0.223165i
$61$	0.919402	−	1.59245i	0.117717	−	0.203893i	−0.801145	−	0.598470i	$-0.795776\pi$
$61$	0.919402	−	1.59245i	0.117717	−	0.203893i	0.918863	+	0.394577i	$0.129109\pi$
$62$	−5.59982	+	1.22340i	−0.711178	+	0.155371i
$63$	−3.84331	+	6.94471i	−0.484211	+	0.874951i
$64$	−2.21277	+	7.68789i	−0.276596	+	0.960986i
$65$	−1.64873	−	0.951893i	−0.204499	−	0.118068i
$66$	3.81616	−	1.64789i	0.469736	−	0.202841i
$67$	3.38415	−	1.95384i	0.413440	−	0.238699i	−0.278827	−	0.960341i	$-0.589946\pi$
$67$	3.38415	−	1.95384i	0.413440	−	0.238699i	0.692267	+	0.721642i	$0.256612\pi$
$68$	−3.97726	−	8.66804i	−0.482313	−	1.05115i
$69$	−9.87756	+	8.59604i	−1.18912	+	1.03484i
$70$	1.17318	−	1.46435i	0.140222	−	0.175023i
$71$	9.65339			1.14565			0.572823	−	0.819679i	$-0.305848\pi$
$71$	9.65339			1.14565			0.572823	+	0.819679i	$0.305848\pi$
$72$	7.41889	−	4.11827i	0.874324	−	0.485343i
$73$	5.55175	−	9.61592i	0.649784	−	1.12546i	−0.333391	−	0.942789i	$-0.608193\pi$
$73$	5.55175	−	9.61592i	0.649784	−	1.12546i	0.983174	−	0.182670i	$-0.0584738\pi$
$74$	2.31756	+	10.6081i	0.269411	+	1.23317i
$75$	6.20426	−	5.39932i	0.716406	−	0.623459i
$76$	−0.211414	−	0.0198072i	−0.0242508	−	0.00227205i
$77$	−4.19091	−	1.61078i	−0.477599	−	0.183565i
$78$	−1.07599	+	9.23674i	−0.121832	+	1.04585i
$79$	4.07338	+	2.35177i	0.458291	+	0.264595i	0.711326	−	0.702863i	$-0.248095\pi$
$79$	4.07338	+	2.35177i	0.458291	+	0.264595i	−0.253034	+	0.967457i	$0.581428\pi$
$80$	−1.89322	+	0.662820i	−0.211669	+	0.0741055i
$81$	−8.65683	−	2.46155i	−0.961870	−	0.273506i
$82$	−2.86939	−	3.15079i	−0.316871	−	0.347946i
$83$	−6.75864	−	11.7063i	−0.741858	−	1.28494i	−0.951649	−	0.307189i	$-0.900612\pi$
$83$	−6.75864	−	11.7063i	−0.741858	−	1.28494i	0.209791	−	0.977746i	$-0.432722\pi$
$84$	−8.83842	−	2.42537i	−0.964350	−	0.264629i
$85$	1.19563	−	2.07090i	0.129685	−	0.224621i
$86$	−6.34992	+	1.38727i	−0.684730	+	0.149593i
$87$	4.11659	−	11.9770i	0.441345	−	1.28407i
$88$	2.88668	+	3.83473i	0.307721	+	0.408784i
$89$	4.73824	−	2.73562i	0.502252	−	0.289975i	−0.227391	−	0.973804i	$-0.573020\pi$
$89$	4.73824	−	2.73562i	0.502252	−	0.289975i	0.729643	+	0.683828i	$0.239686\pi$
$90$	1.91851	+	0.919720i	0.202229	+	0.0969470i
$91$	7.80855	−	6.31776i	0.818558	−	0.662281i
$92$	−12.3319	−	8.74842i	−1.28569	−	0.912086i
$93$	−2.28185	+	6.63892i	−0.236617	+	0.688424i
$94$	4.25916	−	3.87877i	0.439299	−	0.400065i
$95$	−0.0266207	−	0.0461084i	−0.00273122	−	0.00473062i
$96$	6.63839	+	7.20637i	0.677528	+	0.735497i
$97$	6.45605	+	11.1822i	0.655512	+	1.13538i	0.981765	+	0.190098i	$0.0608806\pi$
$97$	6.45605	+	11.1822i	0.655512	+	1.13538i	−0.326253	+	0.945283i	$0.605786\pi$
$98$	4.99087	+	8.54934i	0.504154	+	0.863614i
$99$	0.702937	−	5.04220i	0.0706478	−	0.506760i
$100$	7.74588	+	5.49503i	0.774588	+	0.549503i
$101$		−	10.4778i		−	1.04258i	−0.853380	−	0.521289i	$-0.825451\pi$
$101$		−	10.4778i		−	1.04258i	0.853380	−	0.521289i	$-0.174549\pi$
$102$	−11.6019	−	1.35150i	−1.14876	−	0.133819i
$103$			19.0141i			1.87352i	0.349975	+	0.936759i	$0.386190\pi$
$103$			19.0141i			1.87352i	−0.349975	+	0.936759i	$0.613810\pi$
$104$	−10.6584	+	1.30329i	−1.04514	+	0.127798i
$105$	−0.786258	−	2.15935i	−0.0767309	−	0.210731i
$106$	−9.67531	−	10.6242i	−0.939750	−	1.03191i
$107$	5.50504	+	9.53502i	0.532193	+	0.921785i	0.999294	+	0.0375808i	$0.0119652\pi$
$107$	5.50504	+	9.53502i	0.532193	+	0.921785i	−0.467101	+	0.884204i	$0.654702\pi$
$108$	0.409294	−	10.3842i	0.0393844	−	0.999224i
$109$	2.16757	−	3.75434i	0.207615	−	0.359600i	−0.743348	−	0.668905i	$-0.766763\pi$
$109$	2.16757	−	3.75434i	0.207615	−	0.359600i	0.950963	+	0.309305i	$0.100096\pi$
$110$	−0.365424	+	1.14667i	−0.0348418	+	0.109331i
$111$	12.5766	+	4.32266i	1.19371	+	0.410289i
$112$	0.319323	−	10.5782i	0.0301732	−	0.999545i
$113$	2.92804	+	1.69051i	0.275447	+	0.159029i	0.631360	−	0.775490i	$-0.282497\pi$
$113$	2.92804	+	1.69051i	0.275447	+	0.159029i	−0.355913	+	0.934519i	$0.615830\pi$
$114$	−0.155217	+	0.208662i	−0.0145374	+	0.0195430i
$115$		−	3.79111i		−	0.353523i
$116$	14.5602	+	1.36414i	1.35188	+	0.126657i
$117$	8.98253	+	7.00191i	0.830435	+	0.647326i
$118$	1.01357	+	4.63939i	0.0933067	+	0.427091i
$119$	7.93548	+	9.80800i	0.727444	+	0.899098i
$120$	−0.510646	+	2.40305i	−0.0466154	+	0.219368i
$121$	−8.12024			−0.738203
$122$	1.92266	−	1.75094i	0.174069	−	0.158523i
$123$	−5.12287	+	0.998732i	−0.461914	+	0.0900526i
$124$	−8.07079	−	0.756148i	−0.724778	−	0.0679041i
$125$			4.88863i			0.437253i
$126$	−8.16076	+	7.70727i	−0.727018	+	0.686618i
$127$			8.51215i			0.755332i	0.925942	+	0.377666i	$0.123273\pi$
$127$			8.51215i			0.755332i	−0.925942	+	0.377666i	$0.876727\pi$
$128$	−6.28283	+	9.40883i	−0.555329	+	0.831631i
$129$	−2.58750	+	7.52820i	−0.227817	+	0.662821i
$130$	−1.81282	−	1.99060i	−0.158995	−	0.174587i
$131$	8.42036			0.735690			0.367845	−	0.929887i	$-0.380096\pi$
$131$	8.42036			0.735690			0.367845	+	0.929887i	$0.380096\pi$
$132$	5.84968	−	0.581747i	0.509149	−	0.0506346i
$133$	0.277459	−	0.0438246i	0.0240587	−	0.00380008i
$134$	5.39895	−	1.17951i	0.466398	−	0.101894i
$135$	2.18299	−	1.42282i	0.187882	−	0.122457i
$136$	−1.63701	−	13.3876i	−0.140372	−	1.14798i
$137$			4.25362i			0.363411i	0.983353	+	0.181706i	$0.0581618\pi$
$137$			4.25362i			0.363411i	−0.983353	+	0.181706i	$0.941838\pi$
$138$	−17.0007	+	7.34120i	−1.44719	+	0.624924i
$139$	0.535435	+	0.309134i	0.0454150	+	0.0262204i	0.522536	−	0.852617i	$-0.324986\pi$
$139$	0.535435	+	0.309134i	0.0454150	+	0.0262204i	−0.477121	+	0.878838i	$0.658320\pi$
$140$	2.20960	−	1.46935i	0.186745	−	0.124183i
$141$	−1.35006	−	6.92498i	−0.113696	−	0.583188i
$142$	13.0074	+	4.14524i	1.09156	+	0.347861i
$143$	−3.22120	+	5.57929i	−0.269371	+	0.466564i
$144$	11.7650	−	2.36341i	0.980413	−	0.196951i
$145$	1.83338	+	3.17551i	0.152254	+	0.263712i
$146$	11.6098	−	10.5730i	0.960837	−	0.875024i
$147$	12.1224	+	0.215158i	0.999843	+	0.0177459i
$148$	−1.43242	+	15.2891i	−0.117744	+	1.25675i
$149$		−	6.01223i		−	0.492541i	−0.969201	−	0.246270i	$-0.920795\pi$
$149$		−	6.01223i		−	0.492541i	0.969201	−	0.246270i	$-0.0792051\pi$
$150$	10.6784	−	4.61113i	0.871888	−	0.376497i
$151$		−	22.1543i		−	1.80289i	−0.432895	−	0.901444i	$-0.642508\pi$
$151$		−	22.1543i		−	1.80289i	0.432895	−	0.901444i	$-0.357492\pi$
$152$	−0.276363	−	0.117472i	−0.0224160	−	0.00952822i
$153$	−8.79481	+	11.2826i	−0.711018	+	0.912143i
$154$	−4.95534	−	3.97005i	−0.399313	−	0.319915i
$155$	−1.01625	−	1.76020i	−0.0816275	−	0.141383i
$156$	−5.41616	+	11.9840i	−0.433640	+	0.959485i
$157$	−1.94908	−	3.37590i	−0.155553	−	0.269426i	0.777707	−	0.628627i	$-0.216383\pi$
$157$	−1.94908	−	3.37590i	−0.155553	−	0.269426i	−0.933260	+	0.359200i	$0.883049\pi$
$158$	4.47879	+	4.91802i	0.356314	+	0.391257i
$159$	−17.2738	+	3.36763i	−1.36991	+	0.267070i
$160$	−2.83563	+	0.0801490i	−0.224176	+	0.00633634i
$161$	18.6702	+	7.17589i	1.47142	+	0.565539i
$162$	−10.6076	−	7.03412i	−0.833412	−	0.552653i
$163$	16.9101	−	9.76307i	1.32450	−	0.764703i	0.340060	−	0.940404i	$-0.389553\pi$
$163$	16.9101	−	9.76307i	1.32450	−	0.764703i	0.984444	+	0.175701i	$0.0562192\pi$
$164$	−2.51337	−	5.47765i	−0.196261	−	0.427733i
$165$	0.967625	+	1.11188i	0.0753295	+	0.0865598i
$166$	−4.08012	−	18.6758i	−0.316679	−	1.44953i
$167$	2.20243	−	3.81473i	0.170430	−	0.295193i	−0.768141	−	0.640281i	$-0.778818\pi$
$167$	2.20243	−	3.81473i	0.170430	−	0.295193i	0.938570	+	0.345089i	$0.112151\pi$
$168$	−10.8678	−	7.06333i	−0.838470	−	0.544948i
$169$	−0.706255	−	1.22327i	−0.0543273	−	0.0940976i
$170$	2.50031	−	2.27701i	0.191765	−	0.174639i
$171$	0.119643	+	0.295184i	0.00914932	+	0.0225733i
$172$	−9.15188	−	0.857435i	−0.697824	−	0.0653788i
$173$	15.5563	+	8.98141i	1.18272	+	0.682844i	0.956642	−	0.291265i	$-0.0940762\pi$
$173$	15.5563	+	8.98141i	1.18272	+	0.682844i	0.226078	+	0.974109i	$0.427410\pi$
$174$	10.6899	−	14.3707i	0.810399	−	1.08944i
$175$	−11.7270	−	4.50730i	−0.886481	−	0.340720i
$176$	2.24298	+	6.40666i	0.169071	+	0.482920i
$177$	5.50027	+	1.89049i	0.413426	+	0.142098i
$178$	7.55921	−	1.65146i	0.566587	−	0.123783i
$179$	4.24475	−	7.35212i	0.317267	−	0.549523i	−0.662649	−	0.748930i	$-0.730568\pi$
$179$	4.24475	−	7.35212i	0.317267	−	0.549523i	0.979917	+	0.199406i	$0.0639014\pi$
$180$	2.19016	+	2.06310i	0.163245	+	0.153774i
$181$	−24.6598			−1.83295			−0.916476	−	0.400090i	$-0.868979\pi$
$181$	−24.6598			−1.83295			−0.916476	+	0.400090i	$0.868979\pi$
$182$	13.2345	−	5.15979i	0.981006	−	0.382469i
$183$	−0.609440	−	3.12605i	−0.0450511	−	0.231084i
$184$	−12.8599	−	17.0834i	−0.948047	−	1.25941i
$185$	−3.33447	+	1.92516i	−0.245155	+	0.141541i
$186$	−5.92547	+	7.96573i	−0.434476	+	0.584076i
$187$	−7.00791	−	4.04602i	−0.512469	−	0.295874i
$188$	7.40456	−	3.39752i	0.540033	−	0.247789i
$189$	2.87497	+	13.4438i	0.209123	+	0.977889i
$190$	−0.0160706	−	0.0735596i	−0.00116589	−	0.00533658i
$191$	−2.96036	+	5.12749i	−0.214204	+	0.371012i	−0.953026	−	0.302888i	$-0.902049\pi$
$191$	−2.96036	+	5.12749i	−0.214204	+	0.371012i	0.738822	+	0.673901i	$0.235382\pi$
$192$	5.85040	+	12.5608i	0.422216	+	0.906495i
$193$	−8.24353	−	14.2782i	−0.593382	−	1.02777i	−0.993773	−	0.111423i	$-0.964459\pi$
$193$	−8.24353	−	14.2782i	−0.593382	−	1.02777i	0.400391	−	0.916344i	$-0.368874\pi$
$194$	3.89745	+	17.8397i	0.279820	+	1.28081i
$195$	−3.23652	+	0.630978i	−0.231772	+	0.0451852i
$196$	3.05378	+	13.6629i	0.218127	+	0.975920i
$197$		−	4.24471i		−	0.302423i	−0.988501	−	0.151212i	$-0.951683\pi$
$197$		−	4.24471i		−	0.302423i	0.988501	−	0.151212i	$-0.0483175\pi$
$198$	3.11233	−	6.49224i	0.221184	−	0.461383i
$199$	18.9984	+	10.9688i	1.34676	+	0.777555i	0.987790	−	0.155793i	$-0.0497932\pi$
$199$	18.9984	+	10.9688i	1.34676	+	0.777555i	0.358974	+	0.933347i	$0.383127\pi$
$200$	8.07754	+	10.7304i	0.571168	+	0.758753i
$201$	2.20000	−	6.40077i	0.155176	−	0.451476i
$202$	4.49924	−	14.1182i	0.316565	−	0.993355i
$203$	−19.1088	+	3.01823i	−1.34117	+	0.211838i
$204$	−15.0526	−	6.80302i	−1.05389	−	0.476307i
$205$	0.755565	−	1.30868i	0.0527709	−	0.0914019i
$206$	−8.16482	+	25.6205i	−0.568870	+	1.78507i
$207$	−3.13153	+	22.4626i	−0.217656	+	1.56126i
$208$	−14.9213	−	2.82069i	−1.03460	−	0.195580i
$209$	−0.156031	+	0.0900843i	−0.0107929	+	0.00623126i
$210$	−0.132197	−	3.24723i	−0.00912249	−	0.224080i
$211$	−8.25342	−	4.76511i	−0.568189	−	0.328044i	0.188237	−	0.982124i	$-0.439723\pi$
$211$	−8.25342	−	4.76511i	−0.568189	−	0.328044i	−0.756426	+	0.654080i	$0.773056\pi$
$212$	−8.47486	−	18.4701i	−0.582056	−	1.26853i
$213$	12.6128	−	10.9764i	0.864214	−	0.752091i
$214$	3.32334	+	15.2118i	0.227179	+	1.03986i
$215$	−1.15238	−	1.99598i	−0.0785918	−	0.136125i
$216$	5.01058	−	13.8164i	0.340927	−	0.940090i
$217$	10.5921	−	1.67302i	0.719038	−	0.113572i
$218$	4.53282	−	4.12799i	0.307001	−	0.279583i
$219$	−3.68007	−	18.8765i	−0.248676	−	1.27555i
$220$	−0.984777	+	1.38816i	−0.0663937	+	0.0935896i
$221$	15.6776	−	9.05148i	1.05459	−	0.608868i
$222$	15.0900	+	11.2250i	1.01278	+	0.753374i
$223$	−9.02007	+	5.20774i	−0.604029	+	0.348736i	−0.770625	−	0.637289i	$-0.780056\pi$
$223$	−9.02007	+	5.20774i	−0.604029	+	0.348736i	0.166596	+	0.986025i	$0.446722\pi$
$224$	4.97263	−	14.1164i	0.332248	−	0.943192i
$225$	1.96697	−	14.1091i	0.131131	−	0.940608i
$226$	3.21946	+	3.53519i	0.214155	+	0.235157i
$227$	5.79790			0.384820			0.192410	−	0.981315i	$-0.438370\pi$
$227$	5.79790			0.384820			0.192410	+	0.981315i	$0.438370\pi$
$228$	−0.298748	+	0.214509i	−0.0197850	+	0.0142062i
$229$	−4.93361			−0.326022			−0.163011	−	0.986624i	$-0.552121\pi$
$229$	−4.93361			−0.326022			−0.163011	+	0.986624i	$0.552121\pi$
$230$	1.62793	−	5.10832i	0.107343	−	0.336833i
$231$	−7.30724	+	2.66070i	−0.480781	+	0.175061i
$232$	19.0333	+	8.09035i	1.24960	+	0.531158i
$233$	−9.83606	+	5.67885i	−0.644382	+	0.372034i	−0.786300	−	0.617844i	$-0.788006\pi$
$233$	−9.83606	+	5.67885i	−0.644382	+	0.372034i	0.141919	+	0.989878i	$0.454673\pi$
$234$	9.09680	+	13.2919i	0.594676	+	0.868916i
$235$	1.76904	+	1.02135i	0.115399	+	0.0666258i
$236$	−0.626460	+	6.68656i	−0.0407791	+	0.435258i
$237$	7.99623	−	1.55891i	0.519411	−	0.101262i
$238$	6.48099	+	16.6233i	0.420100	+	1.07753i
$239$	−7.21752	+	12.5011i	−0.466862	+	0.808629i	−0.999283	−	0.0378504i	$-0.987949\pi$
$239$	−7.21752	+	12.5011i	−0.466862	+	0.808629i	0.532421	+	0.846480i	$0.321282\pi$
$240$	−1.71996	+	3.01871i	−0.111023	+	0.194857i
$241$	−14.0809			−0.907030			−0.453515	−	0.891249i	$-0.649830\pi$
$241$	−14.0809			−0.907030			−0.453515	+	0.891249i	$0.649830\pi$
$242$	−10.9416	−	3.48689i	−0.703351	−	0.224146i
$243$	−14.1096	+	6.62708i	−0.905133	+	0.425128i
$244$	3.34254	−	1.53370i	0.213984	−	0.0981848i
$245$	−2.35107	+	2.60668i	−0.150204	+	0.166535i
$246$	−7.33165	−	0.854065i	−0.467449	−	0.0544532i
$247$		−	0.403061i		−	0.0256461i
$248$	−10.5503	−	4.48453i	−0.669942	−	0.284768i
$249$	−22.1413	−	7.61014i	−1.40315	−	0.482273i
$250$	−2.09922	+	6.58716i	−0.132766	+	0.416609i
$251$	−25.2044			−1.59089			−0.795445	−	0.606026i	$-0.792763\pi$
$251$	−25.2044			−1.59089			−0.795445	+	0.606026i	$0.792763\pi$
$252$	−14.3057	+	6.88084i	−0.901177	+	0.433452i
$253$	−12.8291			−0.806560
$254$	−3.65519	+	11.4697i	−0.229347	+	0.719671i
$255$	−0.792545	−	4.06526i	−0.0496311	−	0.254577i
$256$	−12.5060	+	9.97999i	−0.781624	+	0.623749i
$257$			7.12209i			0.444264i	0.975017	+	0.222132i	$0.0713016\pi$
$257$			7.12209i			0.444264i	−0.975017	+	0.222132i	$0.928698\pi$
$258$	−6.71919	+	9.03275i	−0.418318	+	0.562354i
$259$	−3.16932	−	20.0653i	−0.196932	−	1.24680i
$260$	−1.58790	−	3.46066i	−0.0984771	−	0.214621i
$261$	−8.23987	−	20.3295i	−0.510035	−	1.25836i
$262$	11.3460	+	3.61577i	0.700957	+	0.223383i
$263$	−27.3916			−1.68904			−0.844520	−	0.535524i	$-0.820114\pi$
$263$	−27.3916			−1.68904			−0.844520	+	0.535524i	$0.820114\pi$
$264$	8.13193	+	1.72802i	0.500486	+	0.106353i
$265$	2.54769	−	4.41273i	0.156504	−	0.271072i
$266$	0.392679	+	0.0600918i	0.0240767	+	0.00368446i
$267$	3.08027	−	8.96189i	0.188510	−	0.548459i
$268$	7.78128	+	0.729024i	0.475317	+	0.0445322i
$269$	4.90694	+	2.83302i	0.299181	+	0.172732i	0.642075	−	0.766642i	$-0.278074\pi$
$269$	4.90694	+	2.83302i	0.299181	+	0.172732i	−0.342894	+	0.939374i	$0.611407\pi$
$270$	3.55243	−	0.979773i	0.216194	−	0.0596271i
$271$	−14.0632	+	8.11940i	−0.854279	+	0.493218i	−0.862092	−	0.506751i	$-0.830846\pi$
$271$	−14.0632	+	8.11940i	−0.854279	+	0.493218i	0.00781341	+	0.999969i	$0.497513\pi$
$272$	3.54295	−	18.7420i	0.214823	−	1.13640i
$273$	3.01876	−	17.1333i	0.182704	−	1.03695i
$274$	−1.82654	+	5.73152i	−0.110345	+	0.346254i
$275$	8.05818			0.485927
$276$	−26.0599	+	2.59164i	−1.56862	+	0.155998i
$277$	−2.77634			−0.166814			−0.0834071	−	0.996516i	$-0.526580\pi$
$277$	−2.77634			−0.166814			−0.0834071	+	0.996516i	$0.526580\pi$
$278$	0.588725	+	0.646461i	0.0353094	+	0.0387721i
$279$	4.56741	+	11.2688i	0.273444	+	0.674643i
$280$	3.60827	−	1.03105i	0.215635	−	0.0616172i
$281$	−25.4336	+	14.6841i	−1.51724	+	0.875981i	−0.517448	+	0.855714i	$0.673118\pi$
$281$	−25.4336	+	14.6841i	−1.51724	+	0.875981i	−0.999795	+	0.0202663i	$0.993549\pi$
$282$	1.15451	−	9.91076i	0.0687498	−	0.590177i
$283$	−26.5510	+	15.3292i	−1.57829	+	0.911227i	−0.583194	+	0.812333i	$0.698197\pi$
$283$	−26.5510	+	15.3292i	−1.57829	+	0.911227i	−0.995098	+	0.0988943i	$0.968469\pi$
$284$	15.7468	+	11.1710i	0.934399	+	0.662875i
$285$	−0.0872093	−	0.0299745i	−0.00516583	−	0.00177554i
$286$	−6.73619	+	6.13458i	−0.398319	+	0.362745i
$287$	5.01472	+	6.19803i	0.296010	+	0.365858i
$288$	16.8675	+	1.86740i	0.993927	+	0.110037i
$289$	2.86919	+	4.96958i	0.168776	+	0.292328i
$290$	1.10679	+	5.06609i	0.0649931	+	0.297491i
$291$	21.1500	+	7.26942i	1.23983	+	0.426141i
$292$	20.1837	−	9.26113i	1.18116	−	0.541967i
$293$	−1.86213	−	1.07510i	−0.108787	−	0.0628079i	0.444620	−	0.895720i	$-0.353339\pi$
$293$	−1.86213	−	1.07510i	−0.108787	−	0.0628079i	−0.553406	+	0.832912i	$0.686672\pi$
$294$	16.2419	+	5.49539i	0.947249	+	0.320498i
$295$	−1.45831	+	0.841955i	−0.0849060	+	0.0490205i
$296$	−8.49535	+	19.9861i	−0.493782	+	1.16167i
$297$	−4.81481	−	7.38724i	−0.279383	−	0.428651i
$298$	2.58170	−	8.10114i	0.149554	−	0.469287i
$299$	14.3502	−	24.8553i	0.829894	−	1.43742i
$300$	16.3686	−	1.62785i	0.945043	−	0.0939840i
$301$	12.0109	−	1.89712i	0.692297	−	0.109348i
$302$	9.51322	−	29.8517i	0.547424	−	1.71777i
$303$	−11.9138	−	13.6899i	−0.684428	−	0.786464i
$304$	−0.321941	−	0.276959i	−0.0184646	−	0.0158847i
$305$	0.798573	+	0.461056i	0.0457262	+	0.0264000i
$306$	−16.6954	+	11.4261i	−0.954410	+	0.653187i
$307$			19.1505i			1.09298i	0.837467	+	0.546488i	$0.184036\pi$
$307$			19.1505i			1.09298i	−0.837467	+	0.546488i	$0.815964\pi$
$308$	−4.97228	−	7.47728i	−0.283322	−	0.426058i
$309$	21.6201	+	24.8432i	1.22992	+	1.41328i
$310$	−0.613501	−	2.80817i	−0.0348445	−	0.159493i
$311$	2.84561	+	4.92873i	0.161360	+	0.279483i	0.935357	−	0.353706i	$-0.115079\pi$
$311$	2.84561	+	4.92873i	0.161360	+	0.279483i	−0.773997	+	0.633189i	$0.781745\pi$
$312$	−12.4440	+	13.8220i	−0.704502	+	0.782516i
$313$	12.3072	−	21.3167i	0.695645	−	1.20489i	−0.274318	−	0.961639i	$-0.588452\pi$
$313$	12.3072	−	21.3167i	0.695645	−	1.20489i	0.969963	−	0.243254i	$-0.0782147\pi$
$314$	−1.17664	−	5.38580i	−0.0664015	−	0.303938i
$315$	−3.48259	−	1.92732i	−0.196222	−	0.108592i
$316$	3.92309	+	8.55000i	0.220691	+	0.480975i
$317$	−10.2861	−	5.93871i	−0.577728	−	0.333551i	0.182502	−	0.983205i	$-0.441580\pi$
$317$	−10.2861	−	5.93871i	−0.577728	−	0.333551i	−0.760230	+	0.649654i	$0.774914\pi$
$318$	−24.7217	−	2.87983i	−1.38632	−	0.161493i
$319$	10.7459	−	6.20416i	0.601656	−	0.347366i
$320$	−3.85528	−	1.10965i	−0.215517	−	0.0620311i
$321$	18.0345	+	6.19860i	1.00659	+	0.345972i
$322$	22.0757	+	17.6862i	1.23023	+	0.985616i
$323$	0.506268			0.0281695
$324$	−11.2727	−	14.0331i	−0.626258	−	0.779616i
$325$	−9.01360	+	15.6120i	−0.499985	+	0.865999i
$326$	26.9778	−	5.89386i	1.49416	−	0.326431i
$327$	−1.43681	−	7.36992i	−0.0794556	−	0.407558i
$328$	−1.03449	−	8.46010i	−0.0571199	−	0.467131i
$329$	−8.37835	+	6.77878i	−0.461914	+	0.373726i
$330$	0.826372	+	1.91370i	0.0454903	+	0.105346i
$331$	13.8173	+	7.97740i	0.759466	+	0.438478i	0.829104	−	0.559094i	$-0.188851\pi$
$331$	13.8173	+	7.97740i	0.759466	+	0.438478i	−0.0696381	+	0.997572i	$0.522184\pi$
$332$	2.52181	−	26.9167i	0.138402	−	1.47725i
$333$	21.3472	−	8.65236i	1.16982	−	0.474146i
$334$	4.60573	−	4.19440i	0.252015	−	0.229507i
$335$	0.979800	+	1.69706i	0.0535322	+	0.0927204i
$336$	−11.6107	−	14.1842i	−0.633417	−	0.773810i
$337$	6.26967	−	10.8594i	0.341531	−	0.591549i	−0.643186	−	0.765710i	$-0.722388\pi$
$337$	6.26967	−	10.8594i	0.341531	−	0.591549i	0.984717	+	0.174161i	$0.0557213\pi$
$338$	−0.426358	−	1.95156i	−0.0231908	−	0.106151i
$339$	5.74787	−	1.12058i	0.312181	−	0.0608615i
$340$	4.34680	−	1.99449i	0.235738	−	0.108166i
$341$	−5.95652	+	3.43900i	−0.322564	+	0.186232i
$342$	0.0344578	+	0.449120i	0.00186326	+	0.0242856i
$343$	−8.38703	−	16.5123i	−0.452857	−	0.891583i
$344$	−11.9635	−	5.08523i	−0.645027	−	0.274177i
$345$	−4.31069	−	4.95334i	−0.232080	−	0.266679i
$346$	17.1045	+	18.7819i	0.919545	+	1.00972i
$347$	−11.6384	−	20.1584i	−0.624784	−	1.08216i	−0.988583	−	0.150680i	$-0.951854\pi$
$347$	−11.6384	−	20.1584i	−0.624784	−	1.08216i	0.363799	−	0.931478i	$-0.381480\pi$
$348$	20.5749	−	14.7733i	1.10293	−	0.791934i
$349$	−11.9434	−	20.6866i	−0.639317	−	1.10733i	−0.985583	−	0.169193i	$-0.945884\pi$
$349$	−11.9434	−	20.6866i	−0.639317	−	1.10733i	0.346266	−	0.938136i	$-0.387449\pi$
$350$	−13.8661	−	11.1090i	−0.741174	−	0.593802i
$351$	19.6978	−	1.06516i	1.05139	−	0.0568538i
$352$	0.271224	+	9.59577i	0.0144563	+	0.511456i
$353$			30.4841i			1.62251i	0.584695	+	0.811253i	$0.301214\pi$
$353$			30.4841i			1.62251i	−0.584695	+	0.811253i	$0.698786\pi$
$354$	6.59952	+	4.90919i	0.350761	+	0.260920i
$355$			4.84092i			0.256930i
$356$	10.8948	+	1.02073i	0.577422	+	0.0540984i
$357$	21.5204	+	3.79174i	1.13898	+	0.200680i
$358$	8.87663	−	8.08385i	0.469144	−	0.427245i
$359$	−8.47002	−	14.6705i	−0.447031	−	0.774280i	0.551160	−	0.834399i	$-0.314185\pi$
$359$	−8.47002	−	14.6705i	−0.447031	−	0.774280i	−0.998191	+	0.0601193i	$0.980852\pi$
$360$	2.06520	+	3.72038i	0.108846	+	0.196081i
$361$	−9.49436	+	16.4447i	−0.499703	+	0.865512i
$362$	−33.2278	−	10.5891i	−1.74641	−	0.556552i
$363$	−10.6096	+	9.23313i	−0.556861	+	0.484614i
$364$	20.0484	−	1.26953i	1.05082	−	0.0665417i
$365$	4.82213	+	2.78406i	0.252402	+	0.145724i
$366$	0.521163	−	4.47388i	0.0272416	−	0.233853i
$367$		−	14.1754i		−	0.739952i	−0.929041	−	0.369976i	$-0.879366\pi$
$367$		−	14.1754i		−	0.739952i	0.929041	−	0.369976i	$-0.120634\pi$
$368$	−9.99230	−	28.5411i	−0.520885	−	1.48781i
$369$	−5.55776	+	7.12988i	−0.289325	+	0.371167i
$370$	−5.31970	+	1.16220i	−0.276558	+	0.0604198i
$371$	16.9092	+	20.8992i	0.877880	+	1.08503i
$372$	−11.4048	+	8.18895i	−0.591311	+	0.424577i
$373$	−2.71462			−0.140558			−0.0702790	−	0.997527i	$-0.522389\pi$
$373$	−2.71462			−0.140558			−0.0702790	+	0.997527i	$0.522389\pi$
$374$	−7.70539	−	8.46105i	−0.398436	−	0.437510i
$375$	5.55863	+	6.38732i	0.287046	+	0.329840i
$376$	11.4362	−	1.39839i	0.589775	−	0.0721166i
$377$			27.7590i			1.42966i
$378$	−1.89900	+	19.3493i	−0.0976738	+	0.995218i
$379$		−	14.5807i		−	0.748961i	−0.927235	−	0.374480i	$-0.877821\pi$
$379$		−	14.5807i		−	0.748961i	0.927235	−	0.374480i	$-0.122179\pi$
$380$	0.00993281	−	0.106018i	0.000509543	−	0.00543863i
$381$	9.67876	+	11.1217i	0.495858	+	0.569781i
$382$	−6.19071	+	5.63781i	−0.316744	+	0.288456i
$383$	22.2221			1.13549			0.567747	−	0.823203i	$-0.307815\pi$
$383$	22.2221			1.13549			0.567747	+	0.823203i	$0.307815\pi$
$384$	2.48940	+	19.4372i	0.127037	+	0.991898i
$385$	0.807764	−	2.10163i	0.0411674	−	0.107109i
$386$	−4.97653	−	22.7789i	−0.253299	−	1.15942i
$387$	5.17922	+	12.7782i	0.263274	+	0.649553i
$388$	−2.40891	+	25.7116i	−0.122294	+	1.30531i
$389$		−	8.11722i		−	0.411560i	−0.978598	−	0.205780i	$-0.934027\pi$
$389$		−	8.11722i		−	0.411560i	0.978598	−	0.205780i	$-0.0659731\pi$
$390$	−4.63198	−	0.539580i	−0.234550	−	0.0273227i
$391$	31.2197	+	18.0247i	1.57885	+	0.911549i
$392$	−1.75215	+	19.7213i	−0.0884971	+	0.996076i
$393$	11.0018	−	9.57438i	0.554965	−	0.482964i
$394$	1.82271	−	5.71951i	0.0918269	−	0.288145i
$395$	−1.17935	+	2.04270i	−0.0593396	+	0.102779i
$396$	6.98151	−	7.41148i	0.350834	−	0.372441i
$397$	8.63142	+	14.9501i	0.433199	+	0.750322i	0.997147	−	0.0754882i	$-0.0240515\pi$
$397$	8.63142	+	14.9501i	0.433199	+	0.750322i	−0.563948	+	0.825810i	$0.690718\pi$
$398$	20.8893	+	22.9379i	1.04709	+	1.14977i
$399$	0.312687	−	0.372745i	0.0156540	−	0.0186606i
$400$	6.27633	+	17.9272i	0.313816	+	0.896358i
$401$			0.908634i			0.0453750i	0.999743	+	0.0226875i	$0.00722228\pi$
$401$			0.908634i			0.0453750i	−0.999743	+	0.0226875i	$0.992778\pi$
$402$	5.71292	−	7.67999i	0.284934	−	0.383043i
$403$		−	15.3870i		−	0.766480i
$404$	12.1250	−	17.0915i	0.603239	−	0.850336i
$405$	1.23441	−	4.34118i	0.0613381	−	0.215715i
$406$	−27.0441	−	4.13855i	−1.34217	−	0.205393i
$407$	6.51473	+	11.2839i	0.322923	+	0.559320i
$408$	−17.3612	−	15.6304i	−0.859509	−	0.773819i
$409$	17.3097	+	29.9813i	0.855909	+	1.48248i	0.875799	+	0.482675i	$0.160335\pi$
$409$	17.3097	+	29.9813i	0.855909	+	1.48248i	−0.0198905	+	0.999802i	$0.506332\pi$
$410$	1.58004	−	1.43892i	0.0780325	−	0.0710634i
$411$	4.83659	+	5.55763i	0.238571	+	0.274138i
$412$	−22.0033	+	31.0162i	−1.08402	+	1.52806i
$413$	−1.38608	−	8.77543i	−0.0682045	−	0.431811i
$414$	−13.8652	+	28.9224i	−0.681436	+	1.42146i
$415$	5.87041	−	3.38929i	0.288167	−	0.166373i
$416$	−18.8944	−	10.2080i	−0.926372	−	0.500490i
$417$	1.05108	−	0.204914i	0.0514717	−	0.0100347i
$418$	−0.248926	+	0.0543829i	−0.0121753	+	0.00265996i
$419$	18.7089	−	32.4047i	0.913989	−	1.58308i	0.105614	−	0.994407i	$-0.466319\pi$
$419$	18.7089	−	32.4047i	0.913989	−	1.58308i	0.808375	−	0.588668i	$-0.200347\pi$
$420$	1.21626	−	4.43224i	0.0593473	−	0.216271i
$421$	−2.84045	−	4.91981i	−0.138435	−	0.239777i	0.788469	−	0.615074i	$-0.210874\pi$
$421$	−2.84045	−	4.91981i	−0.138435	−	0.239777i	−0.926904	+	0.375297i	$0.877541\pi$
$422$	−9.07485	−	9.96481i	−0.441757	−	0.485080i
$423$	−9.63800	−	7.51285i	−0.468616	−	0.365287i
$424$	−3.48819	−	28.5267i	−0.169401	−	1.38538i
$425$	−19.6096	−	11.3216i	−0.951206	−	0.549179i
$426$	21.7084	−	9.37407i	1.05177	−	0.454175i
$427$	−3.78213	+	3.06005i	−0.183030	+	0.148086i
$428$	−2.05406	+	21.9242i	−0.0992869	+	1.05974i
$429$	2.13523	+	10.9524i	0.103090	+	0.528786i
$430$	−0.695680	−	3.18432i	−0.0335487	−	0.153562i
$431$	5.53553	−	9.58782i	0.266637	−	0.461829i	−0.701354	−	0.712813i	$-0.747421\pi$
$431$	5.53553	−	9.58782i	0.266637	−	0.461829i	0.967991	+	0.250984i	$0.0807541\pi$
$432$	12.6844	−	16.4653i	0.610277	−	0.792188i
$433$	13.1104			0.630044			0.315022	−	0.949084i	$-0.397988\pi$
$433$	13.1104			0.630044			0.315022	+	0.949084i	$0.397988\pi$
$434$	14.9907	+	2.29402i	0.719575	+	0.110117i
$435$	6.00615	+	2.06436i	0.287973	+	0.0989786i
$436$	7.88032	−	3.61582i	0.377399	−	0.173166i
$437$	0.695104	−	0.401318i	0.0332513	−	0.0191977i
$438$	3.14701	−	27.0152i	0.150370	−	1.29084i
$439$	30.8719	+	17.8239i	1.47343	+	0.850687i	0.999553	−	0.0299023i	$-0.00951961\pi$
$439$	30.8719	+	17.8239i	1.47343	+	0.850687i	0.473880	+	0.880589i	$0.342853\pi$
$440$	−1.92302	+	1.44760i	−0.0916763	+	0.0690114i
$441$	16.0834	−	13.5027i	0.765877	−	0.642987i
$442$	25.0115	−	5.46428i	1.18968	−	0.259909i
$443$	−5.98203	+	10.3612i	−0.284215	+	0.492275i	−0.972419	−	0.233243i	$-0.925066\pi$
$443$	−5.98203	+	10.3612i	−0.284215	+	0.492275i	0.688204	+	0.725518i	$0.258400\pi$
$444$	15.5129	+	21.6049i	0.736209	+	1.02532i
$445$	1.37184	+	2.37610i	0.0650316	+	0.112638i
$446$	−14.3903	+	3.14386i	−0.681400	+	0.148866i
$447$	−6.83621	−	7.85537i	−0.323342	−	0.371546i
$448$	12.7620	−	16.8858i	0.602950	−	0.797779i
$449$		−	2.61389i		−	0.123357i	−0.998096	−	0.0616786i	$-0.980355\pi$
$449$		−	2.61389i		−	0.123357i	0.998096	−	0.0616786i	$-0.0196454\pi$
$450$	8.70895	−	18.1666i	0.410544	−	0.856384i
$451$	−4.42856	−	2.55683i	−0.208533	−	0.120396i
$452$	2.82001	+	6.14593i	0.132642	+	0.289080i
$453$	−25.1905	−	28.9460i	−1.18356	−	1.36000i
$454$	7.81235	+	2.48966i	0.366652	+	0.116846i
$455$	3.16819	+	3.91579i	0.148527	+	0.183575i
$456$	−0.494658	+	0.160754i	−0.0231645	+	0.00752801i
$457$	−8.89303	+	15.4032i	−0.415998	+	0.720530i	−0.995533	−	0.0944176i	$-0.969901\pi$
$457$	−8.89303	+	15.4032i	−0.415998	+	0.720530i	0.579534	+	0.814948i	$0.303234\pi$
$458$	−6.64777	−	2.11853i	−0.310630	−	0.0989925i
$459$	1.33790	+	24.7416i	0.0624477	+	1.15484i
$460$	4.38710	−	6.18413i	0.204550	−	0.288337i
$461$	28.0337	−	16.1853i	1.30566	−	0.753824i	0.324293	−	0.945957i	$-0.394874\pi$
$461$	28.0337	−	16.1853i	1.30566	−	0.753824i	0.981369	+	0.192133i	$0.0615404\pi$
$462$	−10.9886	+	0.447356i	−0.511237	+	0.0208129i
$463$	−20.5925	−	11.8891i	−0.957015	−	0.552533i	−0.0617618	−	0.998091i	$-0.519672\pi$
$463$	−20.5925	−	11.8891i	−0.957015	−	0.552533i	−0.895253	+	0.445558i	$0.853005\pi$
$464$	22.1722	+	19.0743i	1.02932	+	0.885504i
$465$	−3.32924	−	1.14429i	−0.154390	−	0.0530651i
$466$	−15.6921	+	3.42826i	−0.726922	+	0.158811i
$467$	−3.53691	−	6.12611i	−0.163669	−	0.283483i	0.772513	−	0.634999i	$-0.219000\pi$
$467$	−3.53691	−	6.12611i	−0.163669	−	0.283483i	−0.936182	+	0.351516i	$0.885666\pi$
$468$	6.54981	+	21.8163i	0.302765	+	1.00846i
$469$	−10.2121	+	1.61301i	−0.471553	+	0.0744818i
$470$	1.94510	+	2.13586i	0.0897210	+	0.0985198i
$471$	−6.38518	−	2.19464i	−0.294213	−	0.101123i
$472$	−3.71538	+	8.74077i	−0.171014	+	0.402326i
$473$	−6.75440	+	3.89966i	−0.310568	+	0.179306i
$474$	11.4439	+	1.33310i	0.525635	+	0.0612313i
$475$	−0.436606	+	0.252075i	−0.0200329	+	0.0115660i
$476$	1.59461	+	25.1820i	0.0730888	+	1.15421i
$477$	−18.7402	+	24.0413i	−0.858057	+	1.10077i
$478$	−15.0933	+	13.7453i	−0.690351	+	0.628695i
$479$	−15.2543			−0.696985			−0.348492	−	0.937312i	$-0.613306\pi$
$479$	−15.2543			−0.696985			−0.348492	+	0.937312i	$0.613306\pi$
$480$	−3.61381	+	3.32898i	−0.164947	+	0.151947i
$481$	−29.1486			−1.32906
$482$	−18.9732	−	6.04644i	−0.864207	−	0.275408i
$483$	32.5532	−	11.8532i	1.48122	−	0.539339i
$484$	−13.2459	−	9.39680i	−0.602085	−	0.427127i
$485$	−5.60759	+	3.23754i	−0.254627	+	0.147009i
$486$	−21.8577	+	2.87085i	−0.991485	+	0.130224i
$487$	11.0078	+	6.35536i	0.498811	+	0.287989i	0.728222	−	0.685341i	$-0.240347\pi$
$487$	11.0078	+	6.35536i	0.498811	+	0.287989i	−0.229411	+	0.973330i	$0.573680\pi$
$488$	5.16247	−	0.631258i	0.233694	−	0.0285757i
$489$	10.9931	−	31.9838i	0.497124	−	1.44636i
$490$	−4.28727	+	2.50279i	−0.193679	+	0.113065i
$491$	−12.0966	+	20.9519i	−0.545911	+	0.945546i	0.452638	+	0.891695i	$0.350483\pi$
$491$	−12.0966	+	20.9519i	−0.545911	+	0.945546i	−0.998549	+	0.0538515i	$0.982850\pi$
$492$	−9.51226	−	4.29908i	−0.428846	−	0.193817i
$493$	−34.8670			−1.57033
$494$	0.173077	−	0.543102i	0.00778712	−	0.0244353i
$495$	2.52853	+	0.352505i	0.113649	+	0.0158439i
$496$	−12.2902	−	10.5730i	−0.551846	−	0.474743i
$497$	−23.8402	−	9.16299i	−1.06938	−	0.411016i
$498$	−26.5663	−	19.7619i	−1.19047	−	0.885552i
$499$			16.1724i			0.723977i	0.932182	+	0.361989i	$0.117902\pi$
$499$			16.1724i			0.723977i	−0.932182	+	0.361989i	$0.882098\pi$
$500$	−5.65716	+	7.97442i	−0.252996	+	0.356627i
$501$	−1.45992	−	7.48847i	−0.0652244	−	0.334560i
$502$	−33.9616	−	10.8230i	−1.51578	−	0.483053i
$503$	5.44592			0.242822			0.121411	−	0.992602i	$-0.461258\pi$
$503$	5.44592			0.242822			0.121411	+	0.992602i	$0.461258\pi$
$504$	−22.2309	+	3.12855i	−0.990242	+	0.139357i
$505$	5.25433			0.233815
$506$	−17.2865	−	5.50892i	−0.768480	−	0.244902i
$507$	−2.31369	−	0.795233i	−0.102755	−	0.0353175i
$508$	−9.85033	+	13.8852i	−0.437038	+	0.616055i
$509$			7.37130i			0.326727i	0.986566	+	0.163364i	$0.0522343\pi$
$509$			7.37130i			0.326727i	−0.986566	+	0.163364i	$0.947766\pi$
$510$	0.677745	−	5.81804i	0.0300110	−	0.257627i
$511$	−22.8381	+	18.4779i	−1.01030	+	0.817416i
$512$	−21.1366	+	8.07732i	−0.934116	+	0.356970i
$513$	0.491961	+	0.249637i	0.0217206	+	0.0110218i
$514$	−3.05828	+	9.59663i	−0.134895	+	0.423289i
$515$	−9.53510			−0.420166
$516$	−12.9325	+	9.28586i	−0.569320	+	0.408787i
$517$	3.45626	−	5.98642i	0.152006	−	0.263282i
$518$	4.34573	−	28.3979i	0.190940	−	1.24773i
$519$	30.5376	−	5.95347i	1.34045	−	0.261328i
$520$	−0.653566	−	5.34491i	−0.0286608	−	0.234390i
$521$	−0.235443	−	0.135933i	−0.0103150	−	0.00595534i	0.494834	−	0.868988i	$-0.335229\pi$
$521$	−0.235443	−	0.135933i	−0.0103150	−	0.00595534i	−0.505149	+	0.863032i	$0.668562\pi$
$522$	−2.37313	−	30.9312i	−0.103869	−	1.35382i
$523$	7.10967	−	4.10477i	0.310884	−	0.179489i	−0.336438	−	0.941706i	$-0.609222\pi$
$523$	7.10967	−	4.10477i	0.310884	−	0.179489i	0.647322	+	0.762217i	$0.275889\pi$
$524$	13.7354	+	9.74410i	0.600035	+	0.425673i
$525$	−20.4472	+	7.44518i	−0.892388	+	0.324934i
$526$	−36.9087	−	11.7622i	−1.60930	−	0.512855i
$527$	19.3270			0.841896
$528$	10.2153	+	5.82033i	0.444564	+	0.253297i
$529$	34.1527			1.48490
$530$	5.32774	−	4.85192i	0.231422	−	0.210754i
$531$	9.33604	−	3.78405i	0.405150	−	0.164214i
$532$	0.503310	+	0.249590i	0.0218213	+	0.0108211i
$533$	9.90726	−	5.71996i	0.429131	−	0.247759i
$534$	7.99880	−	10.7530i	0.346142	−	0.465326i
$535$	−4.78156	+	2.76064i	−0.206725	+	0.119353i
$536$	10.1718	+	4.32366i	0.439355	+	0.186754i
$537$	−2.81370	−	14.4325i	−0.121420	−	0.622809i
$538$	5.39531	+	5.92442i	0.232608	+	0.255420i
$539$	8.82101	+	7.95602i	0.379948	+	0.342690i
$540$	5.20743	+	0.205250i	0.224092	+	0.00883257i
$541$	−14.2672	−	24.7116i	−0.613396	−	1.06243i	−0.990664	−	0.136329i	$-0.956469\pi$
$541$	−14.2672	−	24.7116i	−0.613396	−	1.06243i	0.377267	−	0.926104i	$-0.376864\pi$
$542$	−22.4359	+	4.90159i	−0.963706	+	0.210541i
$543$	−32.2197	+	28.0395i	−1.38268	+	1.20329i
$544$	12.8219	−	23.7324i	0.549734	−	1.01752i
$545$	1.88270	+	1.08698i	0.0806461	+	0.0465611i
$546$	11.4248	−	21.7899i	0.488936	−	0.932522i
$547$	−9.56519	+	5.52246i	−0.408978	+	0.236123i	−0.690350	−	0.723475i	$-0.742544\pi$
$547$	−9.56519	+	5.52246i	−0.408978	+	0.236123i	0.281373	+	0.959599i	$0.409210\pi$
$548$	−4.92232	+	6.93858i	−0.210271	+	0.296402i
$549$	−4.35075	−	3.39142i	−0.185686	−	0.144742i
$550$	10.8580	+	3.46025i	0.462985	+	0.147545i
$551$	−0.388155	+	0.672304i	−0.0165360	+	0.0286411i
$552$	−36.2271	−	7.69821i	−1.54193	−	0.327658i
$553$	−7.82741	−	9.67443i	−0.332855	−	0.411399i
$554$	−3.74097	−	1.19218i	−0.158939	−	0.0506510i
$555$	−2.16770	+	6.30682i	−0.0920139	+	0.267710i
$556$	0.515680	+	1.12387i	0.0218697	+	0.0476629i
$557$	4.13074	+	2.38488i	0.175025	+	0.101051i	0.584953	−	0.811067i	$-0.301113\pi$
$557$	4.13074	+	2.38488i	0.175025	+	0.101051i	−0.409928	+	0.912118i	$0.634446\pi$
$558$	1.31544	+	17.1453i	0.0556870	+	0.725819i
$559$		−	17.4481i		−	0.737975i
$560$	5.30469	+	0.160132i	0.224164	+	0.00676683i
$561$	−13.7568	+	2.68197i	−0.580814	+	0.113233i
$562$	−40.5759	+	8.86464i	−1.71159	+	0.373932i
$563$	−6.00983	−	10.4093i	−0.253284	−	0.438701i	0.711144	−	0.703046i	$-0.248177\pi$
$563$	−6.00983	−	10.4093i	−0.253284	−	0.438701i	−0.964428	+	0.264346i	$0.914844\pi$
$564$	5.81139	−	12.8584i	0.244704	−	0.541438i
$565$	−0.847745	+	1.46834i	−0.0356649	+	0.0617734i
$566$	−42.3585	+	9.25408i	−1.78046	+	0.388978i
$567$	19.0426	+	14.2962i	0.799713	+	0.600382i
$568$	16.4210	+	21.8141i	0.689011	+	0.915298i
$569$	11.9089	+	6.87561i	0.499247	+	0.288240i	0.728403	−	0.685149i	$-0.240263\pi$
$569$	11.9089	+	6.87561i	0.499247	+	0.288240i	−0.229156	+	0.973390i	$0.573596\pi$
$570$	−0.104638	−	0.0778374i	−0.00438282	−	0.00326025i
$571$	36.8309	−	21.2643i	1.54133	−	0.889885i	0.542570	−	0.840010i	$-0.317451\pi$
$571$	36.8309	−	21.2643i	1.54133	−	0.889885i	0.998755	−	0.0498746i	$-0.0158822\pi$
$572$	−11.7109	+	5.37343i	−0.489656	+	0.224675i
$573$	1.96232	+	10.0655i	0.0819771	+	0.420492i
$574$	4.09558	+	10.5049i	0.170946	+	0.438465i
$575$	−35.8986			−1.49707
$576$	21.9262	+	9.75926i	0.913590	+	0.406636i
$577$	22.8935	−	39.6527i	0.953069	−	1.65076i	0.214341	−	0.976759i	$-0.431240\pi$
$577$	22.8935	−	39.6527i	0.953069	−	1.65076i	0.738727	−	0.674004i	$-0.235427\pi$
$578$	1.73210	+	7.92829i	0.0720458	+	0.329774i
$579$	−27.0058	−	9.28210i	−1.12232	−	0.385751i
$580$	−0.684078	+	7.30155i	−0.0284048	+	0.303180i
$581$	5.57965	+	35.3254i	0.231483	+	1.46555i
$582$	25.3769	+	18.8771i	1.05191	+	0.782482i
$583$	−14.9327	−	8.62139i	−0.618448	−	0.357061i
$584$	31.1733	−	3.81181i	1.28996	−	0.157734i
$585$	−3.51127	+	4.50451i	−0.145173	+	0.186238i
$586$	−2.04746	−	2.24825i	−0.0845796	−	0.0928743i
$587$	−5.33958	−	9.24842i	−0.220388	−	0.381723i	0.734538	−	0.678568i	$-0.237399\pi$
$587$	−5.33958	−	9.24842i	−0.220388	−	0.381723i	−0.954926	+	0.296845i	$0.904066\pi$
$588$	19.5254	+	14.3792i	0.805213	+	0.592986i
$589$	0.215157	−	0.372662i	0.00886537	−	0.0153553i
$590$	−2.32653	+	0.508279i	−0.0957819	+	0.0209255i
$591$	−4.82645	−	5.54599i	−0.198534	−	0.228132i
$592$	−20.0292	+	23.2822i	−0.823195	+	0.956891i
$593$	29.7776	−	17.1921i	1.22282	−	0.705995i	0.257301	−	0.966331i	$-0.417167\pi$
$593$	29.7776	−	17.1921i	1.22282	−	0.705995i	0.965518	+	0.260336i	$0.0838335\pi$
$594$	−3.31555	−	12.0214i	−0.136039	−	0.493245i
$595$	−4.91846	+	3.97944i	−0.201637	+	0.163141i
$596$	6.95739	−	9.80725i	0.284986	−	0.401721i
$597$	37.2948	−	7.27082i	1.52637	−	0.297575i
$598$	30.0092	−	27.3291i	1.22717	−	1.11757i
$599$	10.8778	+	18.8409i	0.444454	+	0.769818i	0.998014	−	0.0629918i	$-0.0200642\pi$
$599$	10.8778	+	18.8409i	0.444454	+	0.769818i	−0.553560	+	0.832810i	$0.686731\pi$
$600$	22.7548	+	4.83538i	0.928962	+	0.197403i
$601$	17.5245	+	30.3533i	0.714839	+	1.23814i	0.963022	+	0.269424i	$0.0868334\pi$
$601$	17.5245	+	30.3533i	0.714839	+	1.23814i	−0.248183	+	0.968713i	$0.579833\pi$
$602$	16.9987	+	2.60131i	0.692815	+	0.106021i
$603$	−4.40357	−	10.8645i	−0.179327	−	0.442438i
$604$	25.6371	−	36.1384i	1.04316	−	1.47045i
$605$		−	4.07209i		−	0.165554i
$606$	−10.1746	−	23.5623i	−0.413315	−	0.957151i
$607$		−	3.60667i		−	0.146390i	−0.997318	−	0.0731951i	$-0.976680\pi$
$607$		−	3.60667i		−	0.146390i	0.997318	−	0.0731951i	$-0.0233196\pi$
$608$	−0.314869	−	0.511431i	−0.0127696	−	0.0207413i
$609$	−21.5350	+	25.6712i	−0.872641	+	1.04025i
$610$	0.878052	+	0.964162i	0.0355513	+	0.0390378i
$611$	7.73211	+	13.3924i	0.312808	+	0.541799i
$612$	−27.4025	+	8.22695i	−1.10768	+	0.332555i
$613$	−4.90678	+	8.49879i	−0.198183	+	0.343263i	−0.947939	−	0.318451i	$-0.896837\pi$
$613$	−4.90678	+	8.49879i	−0.198183	+	0.343263i	0.749756	+	0.661714i	$0.230171\pi$
$614$	−8.22337	+	25.8043i	−0.331868	+	1.04137i
$615$	−0.500838	−	2.56899i	−0.0201957	−	0.103592i
$616$	−3.48908	−	12.2104i	−0.140579	−	0.491970i
$617$	−18.4047	−	10.6260i	−0.740945	−	0.427785i	0.0814679	−	0.996676i	$-0.474039\pi$
$617$	−18.4047	−	10.6260i	−0.740945	−	0.427785i	−0.822413	+	0.568891i	$0.807373\pi$
$618$	18.4640	+	42.7587i	0.742730	+	1.72001i
$619$			28.4810i			1.14475i	0.819992	+	0.572374i	$0.193978\pi$
$619$			28.4810i			1.14475i	−0.819992	+	0.572374i	$0.806022\pi$
$620$	0.379189	−	4.04729i	0.0152286	−	0.162543i
$621$	21.4496	+	32.9096i	0.860742	+	1.32061i
$622$	1.71786	+	7.86313i	0.0688800	+	0.315283i
$623$	−14.2983	+	2.25841i	−0.572849	+	0.0904815i
$624$	−22.7029	+	13.2808i	−0.908842	+	0.531659i
$625$	21.2911			0.851644
$626$	25.7369	−	23.4383i	1.02865	−	0.936783i
$627$	−0.101434	+	0.295116i	−0.00405087	+	0.0117858i
$628$	0.727248	−	7.76232i	0.0290204	−	0.309750i
$629$		−	36.6124i		−	1.45983i
$630$	−3.86500	−	4.09241i	−0.153985	−	0.163045i
$631$		−	21.2573i		−	0.846239i	−0.906074	−	0.423119i	$-0.860935\pi$
$631$		−	21.2573i		−	0.846239i	0.906074	−	0.423119i	$-0.139065\pi$
$632$	1.61472	+	13.2053i	0.0642299	+	0.525277i
$633$	−16.2018	+	3.15863i	−0.643964	+	0.125544i
$634$	−11.3099	−	12.4190i	−0.449173	−	0.493223i
$635$	−4.26862			−0.169395
$636$	−32.0745	−	14.4961i	−1.27183	−	0.574807i
$637$	−25.2810	+	8.19060i	−1.00167	+	0.324523i
$638$	17.1436	−	3.74538i	0.678723	−	0.148281i
$639$	3.99869	−	28.6828i	0.158186	−	1.13467i
$640$	−4.71828	−	3.15067i	−0.186507	−	0.124541i
$641$			36.7687i			1.45228i	0.687548	+	0.726138i	$0.258687\pi$
$641$			36.7687i			1.45228i	−0.687548	+	0.726138i	$0.741313\pi$
$642$	21.6388	+	16.0964i	0.854015	+	0.635276i
$643$	−0.592243	−	0.341931i	−0.0233558	−	0.0134845i	0.488277	−	0.872689i	$-0.337626\pi$
$643$	−0.592243	−	0.341931i	−0.0233558	−	0.0134845i	−0.511632	+	0.859204i	$0.670959\pi$
$644$	22.1511	+	33.3107i	0.872877	+	1.31263i
$645$	−3.77520	−	1.29757i	−0.148648	−	0.0510916i
$646$	0.682168	+	0.217395i	0.0268396	+	0.00855331i
$647$	20.1867	−	34.9643i	0.793619	−	1.37459i	−0.130093	−	0.991502i	$-0.541528\pi$
$647$	20.1867	−	34.9643i	0.793619	−	1.37459i	0.923712	−	0.383087i	$-0.125139\pi$
$648$	−9.16337	−	23.7494i	−0.359971	−	0.932964i
$649$	2.84917	+	4.93491i	0.111840	+	0.193712i
$650$	−18.8493	+	17.1658i	−0.739329	+	0.673299i
$651$	11.9370	−	14.2297i	0.467846	−	0.557705i
$652$	38.8820	+	3.64283i	1.52274	+	0.142664i
$653$			0.765132i			0.0299419i	0.999888	+	0.0149710i	$0.00476558\pi$
$653$			0.765132i			0.0299419i	−0.999888	+	0.0149710i	$0.995234\pi$
$654$	1.22868	−	10.5475i	0.0480454	−	0.412442i
$655$			4.22259i			0.164990i
$656$	2.23892	−	11.8437i	0.0874151	−	0.462420i
$657$	−26.2718	−	20.4789i	−1.02496	−	0.798958i
$658$	−14.2002	+	5.53630i	−0.553583	+	0.215828i
$659$	20.6707	+	35.8027i	0.805215	+	1.39467i	0.916146	+	0.400845i	$0.131284\pi$
$659$	20.6707	+	35.8027i	0.805215	+	1.39467i	−0.110930	+	0.993828i	$0.535383\pi$
$660$	0.291731	+	2.93346i	0.0113556	+	0.114185i
$661$	13.5001	+	23.3829i	0.525093	+	0.909488i	0.999573	+	0.0292215i	$0.00930282\pi$
$661$	13.5001	+	23.3829i	0.525093	+	0.909488i	−0.474480	+	0.880266i	$0.657364\pi$
$662$	15.1925	+	16.6824i	0.590472	+	0.648378i
$663$	10.1918	−	29.6526i	0.395818	−	1.15161i
$664$	14.9562	−	35.1859i	0.580415	−	1.36548i
$665$	0.0219769	+	0.139138i	0.000852228	+	0.00539556i
$666$	32.4796	−	2.49193i	1.25856	−	0.0965602i
$667$	−47.8722	+	27.6390i	−1.85362	+	1.07019i
$668$	8.00708	−	3.67398i	0.309803	−	0.142151i
$669$	−5.86384	+	17.0605i	−0.226709	+	0.659599i
$670$	0.591494	+	2.70743i	0.0228514	+	0.104597i
$671$	1.56021	−	2.70237i	0.0602314	−	0.104324i
$672$	−9.55402	−	24.0981i	−0.368554	−	0.929606i
$673$	14.7318	+	25.5163i	0.567871	+	0.983581i	0.996776	+	0.0802316i	$0.0255660\pi$
$673$	14.7318	+	25.5163i	0.567871	+	0.983581i	−0.428906	+	0.903349i	$0.641101\pi$
$674$	13.1111	−	11.9402i	0.505023	−	0.459919i
$675$	−13.4728	−	20.6710i	−0.518570	−	0.795628i
$676$	0.263521	−	2.81270i	0.0101354	−	0.108181i
$677$	−14.9223	−	8.61540i	−0.573511	−	0.331117i	0.185040	−	0.982731i	$-0.440759\pi$
$677$	−14.9223	−	8.61540i	−0.573511	−	0.331117i	−0.758550	+	0.651615i	$0.774092\pi$
$678$	8.22612	+	0.958262i	0.315922	+	0.0368018i
$679$	−5.32984	−	33.7439i	−0.204541	−	1.29497i
$680$	6.71352	−	0.820918i	0.257452	−	0.0314808i
$681$	7.57534	−	6.59251i	0.290288	−	0.252626i
$682$	−9.50282	+	2.07609i	−0.363882	+	0.0794975i
$683$	−16.6012	+	28.7542i	−0.635228	+	1.10025i	0.351238	+	0.936286i	$0.385761\pi$
$683$	−16.6012	+	28.7542i	−0.635228	+	1.10025i	−0.986467	+	0.163962i	$0.947573\pi$
$684$	−0.146426	+	0.619961i	−0.00559873	+	0.0237048i
$685$	−2.13308			−0.0815008
$686$	−4.21053	−	25.8509i	−0.160759	−	0.986994i
$687$	−6.44609	+	5.60977i	−0.245934	+	0.214026i
$688$	−13.9365	−	11.9893i	−0.531323	−	0.457087i
$689$	33.4064	−	19.2872i	1.27268	−	0.734783i
$690$	−3.68142	−	8.52540i	−0.140149	−	0.324556i
$691$	9.20826	+	5.31639i	0.350299	+	0.202245i	0.664817	−	0.747006i	$-0.268510\pi$
$691$	9.20826	+	5.31639i	0.350299	+	0.202245i	−0.314518	+	0.949251i	$0.601843\pi$
$692$	14.9823	+	32.6524i	0.569541	+	1.24126i
$693$	−6.52204	+	11.7851i	−0.247752	+	0.447678i
$694$	−7.02599	−	32.1599i	−0.266703	−	1.22077i
$695$	−0.155022	+	0.268507i	−0.00588034	+	0.0101850i
$696$	34.0674	−	11.0712i	1.29132	−	0.419654i
$697$	7.18461	+	12.4441i	0.272136	+	0.471354i
$698$	−7.21012	−	33.0027i	−0.272907	−	1.24917i
$699$	−6.39431	+	18.6039i	−0.241855	+	0.703664i
$700$	−13.9135	−	20.9230i	−0.525881	−	0.790815i
$701$		−	14.3639i		−	0.542518i	−0.962506	−	0.271259i	$-0.912560\pi$
$701$		−	14.3639i		−	0.542518i	0.962506	−	0.271259i	$-0.0874399\pi$
$702$	26.9991	+	7.02315i	1.01902	+	0.265072i
$703$	−0.705959	−	0.407586i	−0.0266258	−	0.0153724i
$704$	−3.75504	+	13.0462i	−0.141523	+	0.491699i
$705$	3.47270	−	0.677021i	0.130789	−	0.0254981i
$706$	−13.0901	+	41.0757i	−0.492653	+	1.54590i
$707$	−9.94550	+	25.8761i	−0.374039	+	0.973172i
$708$	6.78445	+	9.44875i	0.254975	+	0.355106i
$709$	11.1763	−	19.3579i	0.419734	−	0.727000i	−0.576179	−	0.817324i	$-0.695457\pi$
$709$	11.1763	−	19.3579i	0.419734	−	0.727000i	0.995912	+	0.0903237i	$0.0287902\pi$
$710$	−2.07873	+	6.52288i	−0.0780134	+	0.244799i
$711$	8.67503	−	11.1289i	0.325339	−	0.417368i
$712$	14.2418	+	6.05367i	0.533734	+	0.226871i
$713$	26.5358	−	15.3205i	0.993775	−	0.573756i
$714$	27.3694	+	14.3502i	1.02427	+	0.537043i
$715$	−2.79787	−	1.61535i	−0.104634	−	0.0604107i
$716$	15.4320	−	7.08086i	0.576722	−	0.264624i
$717$	4.78425	+	24.5402i	0.178671	+	0.916471i
$718$	−5.11326	−	23.4048i	−0.190825	−	0.873460i
$719$	−6.77863	−	11.7409i	−0.252800	−	0.437863i	0.711496	−	0.702691i	$-0.248018\pi$
$719$	−6.77863	−	11.7409i	−0.252800	−	0.437863i	−0.964296	+	0.264828i	$0.914685\pi$
$720$	1.18519	+	5.89982i	0.0441694	+	0.219873i
$721$	18.0482	−	46.9577i	0.672150	−	1.74880i
$722$	−19.8546	+	18.0814i	−0.738913	+	0.672920i
$723$	−18.3976	+	16.0107i	−0.684214	+	0.595444i
$724$	−40.2256	−	28.5366i	−1.49497	−	1.06055i
$725$	30.0693	−	17.3605i	1.11675	−	0.644754i
$726$	−18.2607	+	7.88528i	−0.677717	+	0.292650i
$727$	18.9137	−	10.9198i	0.701469	−	0.404993i	−0.106425	−	0.994321i	$-0.533941\pi$
$727$	18.9137	−	10.9198i	0.701469	−	0.404993i	0.807894	+	0.589327i	$0.200607\pi$
$728$	27.5593	+	6.89832i	1.02141	+	0.255669i
$729$	−10.8998	+	24.7021i	−0.403697	+	0.914893i
$730$	5.30206	+	5.82203i	0.196238	+	0.215483i
$731$	21.9158			0.810586
$732$	2.62336	−	5.80452i	0.0969621	−	0.214541i
$733$	−47.7005			−1.76186			−0.880929	−	0.473248i	$-0.843081\pi$
$733$	−47.7005			−1.76186			−0.880929	+	0.473248i	$0.843081\pi$
$734$	6.08705	−	19.1006i	0.224677	−	0.705017i
$735$	−0.107896	+	6.07909i	−0.00397981	+	0.224231i
$736$	−1.20828	−	42.7484i	−0.0445378	−	1.57573i
$737$	5.74285	−	3.31564i	0.211541	−	0.122133i
$738$	−10.5504	+	7.22058i	−0.388366	+	0.265793i
$739$	1.03773	+	0.599135i	0.0381736	+	0.0220395i	0.518965	−	0.854795i	$-0.326317\pi$
$739$	1.03773	+	0.599135i	0.0381736	+	0.0220395i	−0.480792	+	0.876835i	$0.659651\pi$
$740$	−7.66706	−	0.718323i	−0.281847	−	0.0264061i
$741$	−0.458301	−	0.526625i	−0.0168361	−	0.0193461i
$742$	13.8099	+	35.4214i	0.506977	+	1.30036i
$743$	14.0688	−	24.3679i	0.516134	−	0.893970i	−0.483690	−	0.875239i	$-0.660704\pi$
$743$	14.0688	−	24.3679i	0.516134	−	0.893970i	0.999825	−	0.0187314i	$-0.00596273\pi$
$744$	−18.8837	+	6.13685i	−0.692311	+	0.224988i
$745$	3.01497			0.110460
$746$	−3.65781	−	1.16568i	−0.133922	−	0.0426786i
$747$	−37.5822	+	15.2327i	−1.37506	+	0.557334i
$748$	−6.74935	−	14.7096i	−0.246781	−	0.537834i
$749$	−4.54473	−	28.7732i	−0.166061	−	1.05135i
$750$	4.74718	+	10.9935i	0.173343	+	0.401425i
$751$		−	3.29885i		−	0.120377i	−0.998187	−	0.0601884i	$-0.980830\pi$
$751$		−	3.29885i		−	0.120377i	0.998187	−	0.0601884i	$-0.0191702\pi$
$752$	16.0101	+	3.02652i	0.583828	+	0.110366i
$753$	−32.9312	+	28.6587i	−1.20008	+	1.04438i
$754$	−11.9199	+	37.4038i	−0.434099	+	1.36216i
$755$	11.1098			0.404327
$756$	−10.8675	+	25.2566i	−0.395248	+	0.918575i
$757$	5.01338			0.182215			0.0911073	−	0.995841i	$-0.470959\pi$
$757$	5.01338			0.182215			0.0911073	+	0.995841i	$0.470959\pi$
$758$	6.26107	−	19.6467i	0.227412	−	0.713600i
$759$	−16.7621	+	14.5874i	−0.608425	+	0.529488i
$760$	0.0589091	−	0.138589i	0.00213686	−	0.00502715i
$761$			12.1178i			0.439269i	0.975582	+	0.219634i	$0.0704864\pi$
$761$			12.1178i			0.439269i	−0.975582	+	0.219634i	$0.929514\pi$
$762$	8.26586	+	19.1420i	0.299441	+	0.693441i
$763$	−8.91668	+	7.21433i	−0.322806	+	0.261176i
$764$	−10.7626	+	4.93831i	−0.389376	+	0.178662i
$765$	−5.65793	−	4.41037i	−0.204563	−	0.159457i
$766$	29.9430	+	9.54233i	1.08189	+	0.344778i
$767$	−12.7479			−0.460302
$768$	−4.99213	+	27.2595i	−0.180138	+	0.983641i
$769$	6.90320	−	11.9567i	0.248936	−	0.431170i	−0.714295	−	0.699845i	$-0.753252\pi$
$769$	6.90320	−	11.9567i	0.248936	−	0.431170i	0.963231	+	0.268675i	$0.0865858\pi$
$770$	1.99088	−	2.48498i	0.0717462	−	0.0895523i
$771$	8.09819	+	9.30548i	0.291649	+	0.335129i
$772$	3.07586	−	32.8303i	0.110703	−	1.18159i
$773$	−13.5671	−	7.83300i	−0.487976	−	0.281733i	0.235758	−	0.971812i	$-0.424243\pi$
$773$	−13.5671	−	7.83300i	−0.487976	−	0.281733i	−0.723735	+	0.690078i	$0.757576\pi$
$774$	1.49164	+	19.4419i	0.0536160	+	0.698826i
$775$	−16.6676	+	9.62304i	−0.598718	+	0.345670i
$776$	−14.2866	+	33.6106i	−0.512860	+	1.20655i
$777$	−26.9562	−	22.6130i	−0.967050	−	0.811237i
$778$	3.48560	−	10.9375i	0.124965	−	0.392129i
$779$	0.319929			0.0114627
$780$	−6.00964	−	2.71607i	−0.215180	−	0.0972507i
$781$	16.3817			0.586182
$782$	34.3269	+	37.6933i	1.22753	+	1.34791i
$783$	−33.8816	−	17.1927i	−1.21083	−	0.614416i
$784$	−10.8294	+	25.8210i	−0.386765	+	0.922178i
$785$	1.69293	−	0.977413i	0.0604232	−	0.0348854i
$786$	18.9356	−	8.17672i	0.675409	−	0.291654i
$787$	37.8289	−	21.8405i	1.34845	−	0.778530i	0.360423	−	0.932789i	$-0.382632\pi$
$787$	37.8289	−	21.8405i	1.34845	−	0.778530i	0.988030	+	0.154259i	$0.0492990\pi$
$788$	4.91201	−	6.92405i	0.174983	−	0.246659i
$789$	−35.7890	+	31.1457i	−1.27412	+	1.10882i
$790$	−2.46626	+	2.24600i	−0.0877456	+	0.0799091i
$791$	−5.62652	−	6.95420i	−0.200056	−	0.247263i
$792$	12.5897	−	6.98865i	0.447357	−	0.248331i
$793$	3.49040	+	6.04555i	0.123948	+	0.214684i
$794$	5.21070	+	23.8508i	0.184921	+	0.846433i
$795$	−1.68878	−	8.66239i	−0.0598948	−	0.307223i
$796$	18.2975	+	39.8776i	0.648537	+	1.41342i
$797$	−44.7621	−	25.8434i	−1.58556	−	0.915422i	−0.994027	−	0.109139i	$-0.965191\pi$
$797$	−44.7621	−	25.8434i	−1.58556	−	0.915422i	−0.591530	−	0.806283i	$-0.701476\pi$
$798$	0.581389	−	0.367983i	0.0205809	−	0.0130265i
$799$	−16.8216	+	9.71198i	−0.595107	+	0.343585i
$800$	0.758942	+	26.8510i	0.0268326	+	0.949326i
$801$	−6.16555	−	15.2117i	−0.217849	−	0.537480i
$802$	−0.390175	+	1.22433i	−0.0137775	+	0.0432328i
$803$	9.42125	−	16.3181i	0.332469	−	0.575853i
$804$	10.9957	−	7.89520i	0.387788	−	0.278442i
$805$	−3.59852	+	9.36261i	−0.126831	+	0.329989i
$806$	6.60729	−	20.7331i	0.232732	−	0.730293i
$807$	9.63252	−	1.87791i	0.339081	−	0.0661057i
$808$	23.6770	−	17.8234i	0.832952	−	0.627023i
$809$	−18.7111	−	10.8029i	−0.657848	−	0.379809i	0.133608	−	0.991034i	$-0.457344\pi$
$809$	−18.7111	−	10.8029i	−0.657848	−	0.379809i	−0.791457	+	0.611225i	$0.790677\pi$
$810$	3.52743	−	5.31944i	0.123941	−	0.186906i
$811$		−	1.10006i		−	0.0386283i	−0.999813	−	0.0193141i	$-0.993852\pi$
$811$		−	1.10006i		−	0.0386283i	0.999813	−	0.0193141i	$-0.00614826\pi$
$812$	−34.6633	−	17.1894i	−1.21644	−	0.603230i
$813$	−9.14233	+	26.5991i	−0.320635	+	0.932872i
$814$	3.93287	+	18.0019i	0.137847	+	0.630965i
$815$	4.89593	+	8.47999i	0.171497	+	0.297041i
$816$	−16.6815	−	28.5161i	−0.583969	−	0.998264i
$817$	0.243977	−	0.422580i	0.00853567	−	0.0147842i
$818$	10.4497	+	47.8310i	0.365364	+	1.67237i
$819$	−15.5372	−	25.8183i	−0.542915	−	0.902163i
$820$	2.74690	−	1.26039i	0.0959259	−	0.0440148i
$821$	27.2968	+	15.7598i	0.952666	+	0.550022i	0.893908	−	0.448250i	$-0.147953\pi$
$821$	27.2968	+	15.7598i	0.952666	+	0.550022i	0.0587579	+	0.998272i	$0.481286\pi$
$822$	4.13054	+	9.56548i	0.144069	+	0.333634i
$823$	17.4069	−	10.0499i	0.606767	−	0.350317i	−0.164932	−	0.986305i	$-0.552740\pi$
$823$	17.4069	−	10.0499i	0.606767	−	0.350317i	0.771699	+	0.635988i	$0.219407\pi$
$824$	−42.9668	+	32.3442i	−1.49682	+	1.12676i
$825$	10.5285	−	9.16257i	0.366557	−	0.319000i
$826$	1.90057	−	12.4196i	0.0661294	−	0.432134i
$827$	14.3246			0.498114			0.249057	−	0.968489i	$-0.419879\pi$
$827$	14.3246			0.498114			0.249057	+	0.968489i	$0.419879\pi$
$828$	−31.1021	+	33.0175i	−1.08087	+	1.14744i
$829$	15.2497	−	26.4133i	0.529646	−	0.917373i	−0.469756	−	0.882796i	$-0.655658\pi$
$829$	15.2497	−	26.4133i	0.529646	−	0.917373i	0.999402	−	0.0345771i	$-0.0110084\pi$
$830$	9.36545	−	2.04607i	0.325079	−	0.0710203i
$831$	−3.62747	+	3.15685i	−0.125836	+	0.109510i
$832$	−21.0757	−	21.8681i	−0.730668	−	0.758141i
$833$	−10.2879	−	31.7544i	−0.356454	−	1.10022i
$834$	1.50427	+	0.175232i	0.0520885	+	0.00606780i
$835$	1.91299	+	1.10446i	0.0662017	+	0.0382215i
$836$	−0.358766	−	0.0336126i	−0.0124082	−	0.00116252i
$837$	18.7808	+	9.52999i	0.649159	+	0.329405i
$838$	39.1241	−	35.6299i	1.35152	−	1.23081i
$839$	5.36379	+	9.29036i	0.185179	+	0.320739i	0.943637	−	0.330983i	$-0.107380\pi$
$839$	5.36379	+	9.29036i	0.185179	+	0.320739i	−0.758458	+	0.651722i	$0.774047\pi$
$840$	3.54208	−	5.44992i	0.122213	−	0.188040i
$841$	12.2325	−	21.1872i	0.421809	−	0.730594i
$842$	−1.71475	−	7.84889i	−0.0590942	−	0.270491i
$843$	−16.5341	+	48.1051i	−0.569465	+	1.65683i
$844$	−7.94890	−	17.3239i	−0.273612	−	0.596312i
$845$	0.613438	−	0.354168i	0.0211029	−	0.0121838i
$846$	−9.76061	−	14.2618i	−0.335577	−	0.490330i
$847$	20.0539	+	7.70772i	0.689060	+	0.264841i
$848$	7.54943	−	39.9360i	0.259248	−	1.37141i
$849$	−17.2605	+	50.2185i	−0.592378	+	1.72349i
$850$	−21.5613	−	23.6758i	−0.739546	−	0.812073i
$851$	−29.0226	−	50.2687i	−0.994883	−	1.72319i
$852$	33.2762	−	3.30930i	1.14002	−	0.113375i
$853$	−4.00604	−	6.93866i	−0.137164	−	0.237575i	0.789258	−	0.614062i	$-0.210465\pi$
$853$	−4.00604	−	6.93866i	−0.137164	−	0.237575i	−0.926422	+	0.376487i	$0.877132\pi$
$854$	−6.41022	+	2.49918i	−0.219353	+	0.0855201i
$855$	−0.148027	+	0.0599978i	−0.00506242	+	0.00205188i
$856$	−12.1821	+	28.6596i	−0.416377	+	0.979564i
$857$		−	9.40860i		−	0.321392i	−0.987004	−	0.160696i	$-0.948626\pi$
$857$		−	9.40860i		−	0.321392i	0.987004	−	0.160696i	$-0.0513738\pi$
$858$	−1.82594	+	15.6746i	−0.0623365	+	0.535123i
$859$			8.19858i			0.279732i	0.990170	+	0.139866i	$0.0446672\pi$
$859$			8.19858i			0.279732i	−0.990170	+	0.139866i	$0.955333\pi$
$860$	0.429981	−	4.58943i	0.0146622	−	0.156498i
$861$	13.5995	+	2.39614i	0.463471	+	0.0816602i
$862$	11.5759	−	10.5421i	0.394277	−	0.359064i
$863$	−14.3575	−	24.8680i	−0.488736	−	0.846516i	0.511180	−	0.859474i	$-0.329209\pi$
$863$	−14.3575	−	24.8680i	−0.488736	−	0.846516i	−0.999916	+	0.0129580i	$0.995875\pi$
$864$	24.1618	−	16.7394i	0.822002	−	0.569484i
$865$	−4.50394	+	7.80106i	−0.153139	+	0.265244i
$866$	17.6655	+	5.62970i	0.600298	+	0.191305i
$867$	9.39946	+	3.23067i	0.319222	+	0.109719i
$868$	19.2140	+	9.52819i	0.652167	+	0.323408i
$869$	6.91248	+	3.99092i	0.234490	+	0.135383i
$870$	7.20651	+	5.36070i	0.244324	+	0.181745i
$871$			14.8350i			0.502666i
$872$	12.1710	−	1.48824i	0.412161	−	0.0503983i
$873$	35.8996	−	14.5507i	1.21502	−	0.492465i
$874$	1.10894	−	0.242272i	0.0375106	−	0.00819496i
$875$	4.64029	−	12.0731i	0.156870	−	0.408144i
$876$	15.8410	−	35.0502i	0.535217	−	1.18424i
$877$	−5.94951			−0.200901			−0.100450	−	0.994942i	$-0.532028\pi$
$877$	−5.94951			−0.200901			−0.100450	+	0.994942i	$0.532028\pi$
$878$	33.9444	+	37.2733i	1.14557	+	1.25791i
$879$	−3.65543	+	0.712646i	−0.123295	+	0.0240370i
$880$	−3.21277	+	1.12480i	−0.108303	+	0.0379169i
$881$			20.0536i			0.675622i	0.941214	+	0.337811i	$0.109686\pi$
$881$			20.0536i			0.675622i	−0.941214	+	0.337811i	$0.890314\pi$
$882$	27.4697	−	11.2878i	0.924953	−	0.380082i
$883$			1.14562i			0.0385533i	0.999814	+	0.0192766i	$0.00613632\pi$
$883$			1.14562i			0.0385533i	−0.999814	+	0.0192766i	$0.993864\pi$
$884$	36.0481	+	3.37732i	1.21243	+	0.113592i
$885$	−0.948030	+	2.75824i	−0.0318677	+	0.0927173i
$886$	−12.5096	+	11.3924i	−0.420269	+	0.382735i
$887$	−14.8477			−0.498536			−0.249268	−	0.968435i	$-0.580190\pi$
$887$	−14.8477			−0.498536			−0.249268	+	0.968435i	$0.580190\pi$
$888$	11.6255	+	35.7728i	0.390125	+	1.20046i
$889$	8.07973	−	21.0218i	0.270985	−	0.705048i
$890$	0.828167	+	3.79075i	0.0277602	+	0.127066i
$891$	−14.6905	−	4.17722i	−0.492151	−	0.139942i
$892$	−20.7401	−	1.94313i	−0.694431	−	0.0650609i
$893$			0.432473i			0.0144721i
$894$	−5.83826	−	13.5202i	−0.195261	−	0.452183i
$895$	3.68690	+	2.12863i	0.123239	+	0.0711523i
$896$	24.4470	−	17.2726i	0.816719	−	0.577036i
$897$	−9.51226	−	48.7920i	−0.317605	−	1.62912i
$898$	1.12243	−	3.52208i	0.0374558	−	0.117533i
$899$	−14.8180	+	25.6654i	−0.494206	+	0.855990i
$900$	19.5357	−	20.7389i	0.651191	−	0.691296i
$901$	24.2258	+	41.9603i	0.807079	+	1.39790i
$902$	−4.86932	−	5.34684i	−0.162130	−	0.178030i
$903$	13.5359	−	16.1357i	0.450447	−	0.536964i
$904$	1.16069	+	9.49224i	0.0386041	+	0.315707i
$905$		−	12.3663i		−	0.411069i
$906$	−21.5132	−	49.8202i	−0.714730	−	1.65516i
$907$			38.9167i			1.29221i	0.763249	+	0.646104i	$0.223603\pi$
$907$			38.9167i			1.29221i	−0.763249	+	0.646104i	$0.776397\pi$
$908$	9.45764	+	6.70937i	0.313863	+	0.222658i
$909$	−31.1322	−	4.34017i	−1.03259	−	0.143954i
$910$	2.58750	+	6.63675i	0.0857747	+	0.220006i
$911$	−10.5139	−	18.2107i	−0.348342	−	0.603346i	0.637613	−	0.770357i	$-0.279922\pi$
$911$	−10.5139	−	18.2107i	−0.348342	−	0.603346i	−0.985955	+	0.167010i	$0.946589\pi$
$912$	−0.735554	+	0.00419768i	−0.0243566	+	0.000138999i
$913$	−11.4693	−	19.8655i	−0.379579	−	0.657451i
$914$	−18.5971	+	16.9362i	−0.615138	+	0.560200i
$915$	1.56763	−	0.305619i	0.0518243	−	0.0101034i
$916$	−8.04779	−	5.70921i	−0.265907	−	0.188638i
$917$	−20.7951	−	7.99260i	−0.686714	−	0.263939i
$918$	−8.82149	+	33.9124i	−0.291153	+	1.11928i
$919$	−16.2723	+	9.39484i	−0.536775	+	0.309907i	−0.743771	−	0.668435i	$-0.766965\pi$
$919$	−16.2723	+	9.39484i	−0.536775	+	0.309907i	0.206996	+	0.978342i	$0.433631\pi$
$920$	8.56690	−	6.44892i	0.282442	−	0.212615i
$921$	21.7751	+	25.0214i	0.717514	+	0.824483i
$922$	44.7240	−	9.77088i	1.47291	−	0.321787i
$923$	−18.3240	+	31.7380i	−0.603141	+	1.04467i
$924$	−14.9987	−	4.11582i	−0.493420	−	0.135400i
$925$	18.2296	+	31.5746i	0.599385	+	1.03817i
$926$	−22.6420	−	24.8625i	−0.744062	−	0.817032i
$927$	56.4960	+	7.87616i	1.85557	+	0.258687i
$928$	21.6852	+	35.2226i	0.711851	+	1.15624i
$929$	−26.6151	−	15.3663i	−0.873215	−	0.504151i	−0.00479946	−	0.999988i	$-0.501528\pi$
$929$	−26.6151	−	15.3663i	−0.873215	−	0.504151i	−0.868415	+	0.495838i	$0.834861\pi$
$930$	−3.99461	−	2.97147i	−0.130988	−	0.0974383i
$931$	−0.726816	−	0.155134i	−0.0238204	−	0.00508430i
$932$	−22.6164	−	2.11892i	−0.740824	−	0.0694074i
$933$	9.32220	+	3.20411i	0.305195	+	0.104898i
$934$	−2.13520	−	9.77338i	−0.0698658	−	0.319795i
$935$	2.02897	−	3.51429i	0.0663546	−	0.114929i
$936$	−0.542573	+	32.2088i	−0.0177345	+	1.05278i
$937$	23.7669			0.776431			0.388215	−	0.921569i	$-0.373092\pi$
$937$	23.7669			0.776431			0.388215	+	0.921569i	$0.373092\pi$
$938$	−14.4529	−	2.21173i	−0.471905	−	0.0722157i
$939$	−8.15804	−	41.8456i	−0.266227	−	1.36558i
$940$	1.70377	+	3.71319i	0.0555708	+	0.121111i
$941$	−4.75086	+	2.74291i	−0.154874	+	0.0894164i	−0.575434	−	0.817848i	$-0.695167\pi$
$941$	−4.75086	+	2.74291i	−0.154874	+	0.0894164i	0.420560	+	0.907265i	$0.361834\pi$
$942$	−7.66128	−	5.69900i	−0.249618	−	0.185683i
$943$	19.7289	+	11.3905i	0.642460	+	0.370925i
$944$	−8.75963	+	10.1823i	−0.285102	+	0.331405i
$945$	−6.74169	+	1.44172i	−0.219307	+	0.0468992i
$946$	−10.7757	+	2.35418i	−0.350349	+	0.0765410i
$947$	16.7543	−	29.0194i	0.544443	−	0.943003i	−0.454199	−	0.890900i	$-0.650074\pi$
$947$	16.7543	−	29.0194i	0.544443	−	0.943003i	0.998642	−	0.0521027i	$-0.0165923\pi$
$948$	14.8476	+	6.71037i	0.482226	+	0.217943i
$949$	21.0766	+	36.5057i	0.684175	+	1.18503i
$950$	−0.696546	+	0.152175i	−0.0225989	+	0.00493720i
$951$	−20.1921	+	3.93657i	−0.654775	+	0.127652i
$952$	−8.66469	+	34.6161i	−0.280824	+	1.12191i
$953$			21.1120i			0.683884i	0.939721	+	0.341942i	$0.111085\pi$
$953$			21.1120i			0.683884i	−0.939721	+	0.341942i	$0.888915\pi$
$954$	−35.5750	+	24.3471i	−1.15178	+	0.788267i
$955$	−2.57130	−	1.48454i	−0.0832054	−	0.0480387i
$956$	−26.2397	+	12.0399i	−0.848653	+	0.389397i
$957$	6.98579	−	20.3248i	0.225819	−	0.657007i
$958$	−20.5543	−	6.55030i	−0.664079	−	0.211631i
$959$	4.03753	−	10.5048i	0.130379	−	0.339218i
$960$	−6.29890	+	2.93382i	−0.203296	+	0.0946887i
$961$	−7.28632	+	12.6203i	−0.235043	+	0.407106i
$962$	−39.2762	−	12.5167i	−1.26632	−	0.403553i
$963$	30.6114	−	12.4073i	0.986439	−	0.399819i
$964$	−22.9690	−	16.2945i	−0.739781	−	0.524811i
$965$	7.16015	−	4.13392i	0.230493	−	0.133075i
$966$	48.9535	−	1.99294i	1.57505	−	0.0641216i
$967$	−19.5455	−	11.2846i	−0.628540	−	0.362888i	0.151646	−	0.988435i	$-0.451543\pi$
$967$	−19.5455	−	11.2846i	−0.628540	−	0.362888i	−0.780186	+	0.625547i	$0.784876\pi$
$968$	−13.8130	−	18.3496i	−0.443968	−	0.589777i
$969$	0.661472	−	0.575653i	0.0212496	−	0.0184926i
$970$	−8.94614	+	1.95447i	−0.287243	+	0.0627542i
$971$	26.7170	+	46.2752i	0.857388	+	1.48504i	0.874411	+	0.485185i	$0.161248\pi$
$971$	26.7170	+	46.2752i	0.857388	+	1.48504i	−0.0170228	+	0.999855i	$0.505419\pi$
$972$	−30.6848	−	5.51755i	−0.984215	−	0.176976i
$973$	−1.02889	−	1.27168i	−0.0329847	−	0.0407681i
$974$	12.1034	+	13.2903i	0.387817	+	0.425850i
$975$	5.97481	+	30.6471i	0.191347	+	0.981491i
$976$	7.22722	+	1.36622i	0.231338	+	0.0437317i
$977$	−22.7320	+	13.1243i	−0.727260	+	0.419884i	−0.817419	−	0.576044i	$-0.804596\pi$
$977$	−22.7320	+	13.1243i	−0.727260	+	0.419884i	0.0901590	+	0.995927i	$0.471262\pi$
$978$	28.5467	−	38.3759i	0.912822	−	1.22713i
$979$	8.04072	−	4.64231i	0.256983	−	0.148369i
$980$	−6.85158	+	1.53139i	−0.218866	+	0.0489185i
$981$	−10.2573	−	7.99557i	−0.327489	−	0.255279i
$982$	−25.2964	+	23.0372i	−0.807241	+	0.735146i
$983$	28.7580			0.917239			0.458620	−	0.888633i	$-0.348344\pi$
$983$	28.7580			0.917239			0.458620	+	0.888633i	$0.348344\pi$
$984$	−10.9712	−	9.87741i	−0.349749	−	0.314880i
$985$	2.12861			0.0678232
$986$	−46.9813	−	14.9721i	−1.49619	−	0.476810i
$987$	−3.23904	+	18.3835i	−0.103100	+	0.585154i
$988$	0.466425	−	0.657480i	0.0148390	−	0.0209172i
$989$	30.0903	−	17.3727i	0.956817	−	0.552418i
$990$	3.25569	+	1.56075i	0.103473	+	0.0496040i
$991$	−26.2389	−	15.1490i	−0.833506	−	0.481225i	0.0215459	−	0.999768i	$-0.493141\pi$
$991$	−26.2389	−	15.1490i	−0.833506	−	0.481225i	−0.855051	+	0.518543i	$0.826475\pi$
$992$	−12.0202	−	19.5241i	−0.381643	−	0.619890i
$993$	27.1239	−	5.28795i	0.860751	−	0.167808i
$994$	−28.1887	−	22.5838i	−0.894091	−	0.716314i
$995$	−5.50055	+	9.52723i	−0.174379	+	0.302033i
$996$	−27.3108	−	38.0359i	−0.865375	−	1.20521i
$997$	20.2489			0.641290			0.320645	−	0.947199i	$-0.396100\pi$
$997$	20.2489			0.641290			0.320645	+	0.947199i	$0.396100\pi$
$998$	−6.94457	+	21.7915i	−0.219826	+	0.689797i
$999$	18.0533	−	35.5777i	0.571182	−	1.12563i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.o.a.95.40	yes	88
3.2	odd	2		756.2.o.a.179.5		88
4.3	odd	2	inner	252.2.o.a.95.34	✓	88
7.2	even	3		252.2.bb.a.23.18	yes	88
9.2	odd	6		252.2.bb.a.11.27	yes	88
9.7	even	3		756.2.bb.a.683.18		88
12.11	even	2		756.2.o.a.179.11		88
21.2	odd	6		756.2.bb.a.611.27		88
28.23	odd	6		252.2.bb.a.23.27	yes	88
36.7	odd	6		756.2.bb.a.683.27		88
36.11	even	6		252.2.bb.a.11.18	yes	88
63.2	odd	6	inner	252.2.o.a.191.34	yes	88
63.16	even	3		756.2.o.a.359.11		88
84.23	even	6		756.2.bb.a.611.18		88
252.79	odd	6		756.2.o.a.359.5		88
252.191	even	6	inner	252.2.o.a.191.40	yes	88

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.o.a.95.34	✓	88	4.3	odd	2	inner
252.2.o.a.95.40	yes	88	1.1	even	1	trivial
252.2.o.a.191.34	yes	88	63.2	odd	6	inner
252.2.o.a.191.40	yes	88	252.191	even	6	inner
252.2.bb.a.11.18	yes	88	36.11	even	6
252.2.bb.a.11.27	yes	88	9.2	odd	6
252.2.bb.a.23.18	yes	88	7.2	even	3
252.2.bb.a.23.27	yes	88	28.23	odd	6
756.2.o.a.179.5		88	3.2	odd	2
756.2.o.a.179.11		88	12.11	even	2
756.2.o.a.359.5		88	252.79	odd	6
756.2.o.a.359.11		88	63.16	even	3
756.2.bb.a.611.18		88	84.23	even	6
756.2.bb.a.611.27		88	21.2	odd	6
756.2.bb.a.683.18		88	9.7	even	3
756.2.bb.a.683.27		88	36.7	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:	\( N \)	\(=\)	\( 252 = 2^{2} \cdot 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	252.o (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.34745 + 0.429408i) q^{2} +(1.30657 - 1.13705i) q^{3} +(1.63122 + 1.15721i) q^{4} +0.501474i q^{5} +(2.24878 - 0.971066i) q^{6} +(-2.46962 - 0.949199i) q^{7} +(1.70106 + 2.25973i) q^{8} +(0.414227 - 2.97127i) q^{9} +O(q^{10})\)	\(q+(1.34745 + 0.429408i) q^{2} +(1.30657 - 1.13705i) q^{3} +(1.63122 + 1.15721i) q^{4} +0.501474i q^{5} +(2.24878 - 0.971066i) q^{6} +(-2.46962 - 0.949199i) q^{7} +(1.70106 + 2.25973i) q^{8} +(0.414227 - 2.97127i) q^{9} +(-0.215337 + 0.675709i) q^{10} +1.69699 q^{11} +(3.44710 - 0.342812i) q^{12} +(-1.89819 + 3.28776i) q^{13} +(-2.92008 - 2.33947i) q^{14} +(0.570202 + 0.655209i) q^{15} +(1.32174 + 3.77531i) q^{16} +(-4.12962 - 2.38424i) q^{17} +(1.83403 - 3.82575i) q^{18} +(-0.0919457 + 0.0530849i) q^{19} +(-0.580309 + 0.818013i) q^{20} +(-4.30601 + 1.56789i) q^{21} +(2.28660 + 0.728699i) q^{22} -7.55994 q^{23} +(4.79198 + 1.01829i) q^{24} +4.74852 q^{25} +(-3.96950 + 3.61498i) q^{26} +(-2.83727 - 4.35315i) q^{27} +(-2.93007 - 4.40621i) q^{28} +(6.33235 - 3.65598i) q^{29} +(0.486964 + 1.12771i) q^{30} +(-3.51006 + 2.02653i) q^{31} +(0.159827 + 5.65460i) q^{32} +(2.21722 - 1.92956i) q^{33} +(-4.54063 - 4.98592i) q^{34} +(0.475999 - 1.23845i) q^{35} +(4.11406 - 4.36743i) q^{36} +(3.83900 + 6.64935i) q^{37} +(-0.146687 + 0.0320468i) q^{38} +(1.25825 + 6.45402i) q^{39} +(-1.13320 + 0.853039i) q^{40} +(-2.60966 - 1.50669i) q^{41} +(-6.47538 + 0.263618i) q^{42} +(-3.98023 + 2.29799i) q^{43} +(2.76815 + 1.96377i) q^{44} +(1.49001 + 0.207724i) q^{45} +(-10.1866 - 3.24630i) q^{46} +(2.03670 - 3.52768i) q^{47} +(6.01967 + 3.42980i) q^{48} +(5.19804 + 4.68832i) q^{49} +(6.39838 + 2.03905i) q^{50} +(-8.10663 + 1.58043i) q^{51} +(-6.90098 + 3.16646i) q^{52} +(-8.79953 - 5.08041i) q^{53} +(-1.95379 - 7.08398i) q^{54} +0.850995i q^{55} +(-2.05604 - 7.19532i) q^{56} +(-0.0597728 + 0.173906i) q^{57} +(10.1024 - 2.20708i) q^{58} +(1.67896 + 2.90805i) q^{59} +(0.171911 + 1.72863i) q^{60} +(0.919402 - 1.59245i) q^{61} +(-5.59982 + 1.22340i) q^{62} +(-3.84331 + 6.94471i) q^{63} +(-2.21277 + 7.68789i) q^{64} +(-1.64873 - 0.951893i) q^{65} +(3.81616 - 1.64789i) q^{66} +(3.38415 - 1.95384i) q^{67} +(-3.97726 - 8.66804i) q^{68} +(-9.87756 + 8.59604i) q^{69} +(1.17318 - 1.46435i) q^{70} +9.65339 q^{71} +(7.41889 - 4.11827i) q^{72} +(5.55175 - 9.61592i) q^{73} +(2.31756 + 10.6081i) q^{74} +(6.20426 - 5.39932i) q^{75} +(-0.211414 - 0.0198072i) q^{76} +(-4.19091 - 1.61078i) q^{77} +(-1.07599 + 9.23674i) q^{78} +(4.07338 + 2.35177i) q^{79} +(-1.89322 + 0.662820i) q^{80} +(-8.65683 - 2.46155i) q^{81} +(-2.86939 - 3.15079i) q^{82} +(-6.75864 - 11.7063i) q^{83} +(-8.83842 - 2.42537i) q^{84} +(1.19563 - 2.07090i) q^{85} +(-6.34992 + 1.38727i) q^{86} +(4.11659 - 11.9770i) q^{87} +(2.88668 + 3.83473i) q^{88} +(4.73824 - 2.73562i) q^{89} +(1.91851 + 0.919720i) q^{90} +(7.80855 - 6.31776i) q^{91} +(-12.3319 - 8.74842i) q^{92} +(-2.28185 + 6.63892i) q^{93} +(4.25916 - 3.87877i) q^{94} +(-0.0266207 - 0.0461084i) q^{95} +(6.63839 + 7.20637i) q^{96} +(6.45605 + 11.1822i) q^{97} +(4.99087 + 8.54934i) q^{98} +(0.702937 - 5.04220i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9}+O(q^{10}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9	\( 88 q - 3 q^{2} + q^{4} - 6 q^{6} - 2 q^{9} + 2 q^{10} + 3 q^{12} - 4 q^{13} - 3 q^{14} + q^{16} + 5 q^{18} - 6 q^{20} - 6 q^{22} - 14 q^{24} - 60 q^{25} - 6 q^{26} - 24 q^{29} + 22 q^{30} + 27 q^{32} - 26 q^{33} - 4 q^{34} + 2 q^{36} - 4 q^{37} + 8 q^{40} - 12 q^{41} - 13 q^{42} - 57 q^{44} + 42 q^{45} - 6 q^{46} - 43 q^{48} - 2 q^{49} + 9 q^{50} + 14 q^{52} - 22 q^{54} - 66 q^{56} - 28 q^{57} - 10 q^{58} + 32 q^{60} + 2 q^{61} - 8 q^{64} + 18 q^{65} - 93 q^{66} - 6 q^{69} + 30 q^{70} + 53 q^{72} - 4 q^{73} - 6 q^{76} - 30 q^{77} + 55 q^{78} + 87 q^{80} + 26 q^{81} - 4 q^{82} - 7 q^{84} - 14 q^{85} - 18 q^{88} + 60 q^{89} + 41 q^{90} + 24 q^{92} - 30 q^{93} + 9 q^{94} - 20 q^{96} - 4 q^{97} - 57 q^{98}+O(q^{100}) \) 88 * q - 3 * q^2 + q^4 - 6 * q^6 - 2 * q^9 + 2 * q^10 + 3 * q^12 - 4 * q^13 - 3 * q^14 + q^16 + 5 * q^18 - 6 * q^20 - 6 * q^22 - 14 * q^24 - 60 * q^25 - 6 * q^26 - 24 * q^29 + 22 * q^30 + 27 * q^32 - 26 * q^33 - 4 * q^34 + 2 * q^36 - 4 * q^37 + 8 * q^40 - 12 * q^41 - 13 * q^42 - 57 * q^44 + 42 * q^45 - 6 * q^46 - 43 * q^48 - 2 * q^49 + 9 * q^50 + 14 * q^52 - 22 * q^54 - 66 * q^56 - 28 * q^57 - 10 * q^58 + 32 * q^60 + 2 * q^61 - 8 * q^64 + 18 * q^65 - 93 * q^66 - 6 * q^69 + 30 * q^70 + 53 * q^72 - 4 * q^73 - 6 * q^76 - 30 * q^77 + 55 * q^78 + 87 * q^80 + 26 * q^81 - 4 * q^82 - 7 * q^84 - 14 * q^85 - 18 * q^88 + 60 * q^89 + 41 * q^90 + 24 * q^92 - 30 * q^93 + 9 * q^94 - 20 * q^96 - 4 * q^97 - 57 * q^98

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