LMFDB - Embedded newform 252.2.bj.b.115.25

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [252,2,Mod(103,252)]

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, 2, 5]))

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

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

chi := DirichletCharacter("252.103");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 252 = 2^{2} \cdot 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	252.bj (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:	$84$
Relative dimension:	$42$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			115.25
Character	$\chi$	$=$	252.115
Dual form			252.2.bj.b.103.26

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.514563 - 1.31728i) q^{2} +(1.01391 - 1.40427i) q^{3} +(-1.47045 - 1.35565i) q^{4} +(2.53954 + 1.46621i) q^{5} +(-1.32809 - 2.05819i) q^{6} +(-2.33334 - 1.24720i) q^{7} +(-2.54241 + 1.23943i) q^{8} +(-0.943956 - 2.84762i) q^{9} +O(q^{10})$	\(q+(0.514563 - 1.31728i) q^{2} +(1.01391 - 1.40427i) q^{3} +(-1.47045 - 1.35565i) q^{4} +(2.53954 + 1.46621i) q^{5} +(-1.32809 - 2.05819i) q^{6} +(-2.33334 - 1.24720i) q^{7} +(-2.54241 + 1.23943i) q^{8} +(-0.943956 - 2.84762i) q^{9} +(3.23816 - 2.59083i) q^{10} +(1.58550 - 0.915388i) q^{11} +(-3.39461 + 0.690400i) q^{12} +(0.488438 - 0.282000i) q^{13} +(-2.84357 + 2.43190i) q^{14} +(4.63383 - 2.07960i) q^{15} +(0.324441 + 3.98682i) q^{16} +(0.330952 + 0.191075i) q^{17} +(-4.23684 - 0.221827i) q^{18} +(4.34210 + 7.52073i) q^{19} +(-1.74661 - 5.59871i) q^{20} +(-4.11722 + 2.01209i) q^{21} +(-0.389982 - 2.55957i) q^{22} +(-4.16067 - 2.40216i) q^{23} +(-0.837290 + 4.82690i) q^{24} +(1.79952 + 3.11687i) q^{25} +(-0.120140 - 0.788516i) q^{26} +(-4.95592 - 1.56167i) q^{27} +(1.74029 + 4.99714i) q^{28} +(-1.82266 + 3.15694i) q^{29} +(-0.355016 - 7.17414i) q^{30} -0.654198 q^{31} +(5.41870 + 1.62409i) q^{32} +(0.322106 - 3.15459i) q^{33} +(0.421996 - 0.337636i) q^{34} +(-4.09697 - 6.58849i) q^{35} +(-2.47233 + 5.46695i) q^{36} +(3.63968 + 6.30411i) q^{37} +(12.1412 - 1.84986i) q^{38} +(0.0992299 - 0.971823i) q^{39} +(-8.27381 - 0.580115i) q^{40} +(8.94130 - 5.16226i) q^{41} +(0.531910 + 6.45888i) q^{42} +(5.57437 + 3.21836i) q^{43} +(-3.57234 - 0.803345i) q^{44} +(1.77798 - 8.61570i) q^{45} +(-5.30525 + 4.24470i) q^{46} -7.97727 q^{47} +(5.92753 + 3.58669i) q^{48} +(3.88897 + 5.82030i) q^{49} +(5.03175 - 0.766650i) q^{50} +(0.603879 - 0.271013i) q^{51} +(-1.10052 - 0.247483i) q^{52} +(-3.65087 + 6.32349i) q^{53} +(-4.60730 + 5.72476i) q^{54} +5.36859 q^{55} +(7.47812 + 0.278894i) q^{56} +(14.9637 + 1.52789i) q^{57} +(3.22070 + 4.02539i) q^{58} +0.0693815 q^{59} +(-9.63302 - 3.22389i) q^{60} -9.83174i q^{61} +(-0.336626 + 0.861761i) q^{62} +(-1.34899 + 7.82178i) q^{63} +(4.92765 - 6.30224i) q^{64} +1.65388 q^{65} +(-3.98974 - 2.04754i) q^{66} +1.81471i q^{67} +(-0.227618 - 0.729621i) q^{68} +(-7.59185 + 3.40712i) q^{69} +(-10.7870 + 2.00665i) q^{70} -9.64068i q^{71} +(5.92933 + 6.06984i) q^{72} +(-13.1397 - 7.58623i) q^{73} +(10.1771 - 1.55061i) q^{74} +(6.20149 + 0.633216i) q^{75} +(3.81063 - 16.9452i) q^{76} +(-4.84118 + 0.158473i) q^{77} +(-1.22910 - 0.630778i) q^{78} +6.31873i q^{79} +(-5.02157 + 10.6004i) q^{80} +(-7.21789 + 5.37606i) q^{81} +(-2.19928 - 14.4345i) q^{82} +(2.90035 - 5.02356i) q^{83} +(8.78184 + 2.62283i) q^{84} +(0.560312 + 0.970489i) q^{85} +(7.10785 - 5.68695i) q^{86} +(2.58518 + 5.76037i) q^{87} +(-2.89642 + 4.29239i) q^{88} +(-1.91814 + 1.10744i) q^{89} +(-10.4344 - 6.77542i) q^{90} +(-1.49140 + 0.0488201i) q^{91} +(2.86156 + 9.17265i) q^{92} +(-0.663300 + 0.918671i) q^{93} +(-4.10481 + 10.5083i) q^{94} +25.4656i q^{95} +(7.77476 - 5.96264i) q^{96} +(1.59144 + 0.918820i) q^{97} +(9.66809 - 2.12794i) q^{98} +(-4.10332 - 3.65081i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	$ 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) $ 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

Display 100 coefficients 10 coefficients

Character values

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

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

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 $

$2$	0.514563	−	1.31728i	0.363851	−	0.931457i
$2$	0.514563	−	1.31728i	0.363851	−	0.931457i
$3$	1.01391	−	1.40427i	0.585384	−	0.810756i
$3$	1.01391	−	1.40427i	0.585384	−	0.810756i
$4$	−1.47045	−	1.35565i	−0.735225	−	0.677824i
$5$	2.53954	+	1.46621i	1.13572	+	0.655708i	0.945367	−	0.326008i	$-0.105704\pi$
$5$	2.53954	+	1.46621i	1.13572	+	0.655708i	0.190352	+	0.981716i	$0.439037\pi$
$6$	−1.32809	−	2.05819i	−0.542192	−	0.840254i
$7$	−2.33334	−	1.24720i	−0.881920	−	0.471399i
$7$	−2.33334	−	1.24720i	−0.881920	−	0.471399i
$8$	−2.54241	+	1.23943i	−0.898876	+	0.438203i
$9$	−0.943956	−	2.84762i	−0.314652	−	0.949207i
$10$	3.23816	−	2.59083i	1.02400	−	0.819293i
$11$	1.58550	−	0.915388i	0.478046	−	0.276000i	−0.241556	−	0.970387i	$-0.577658\pi$
$11$	1.58550	−	0.915388i	0.478046	−	0.276000i	0.719602	+	0.694387i	$0.244324\pi$
$12$	−3.39461	+	0.690400i	−0.979938	+	0.199301i
$13$	0.488438	−	0.282000i	0.135468	−	0.0782127i	−0.430734	−	0.902479i	$-0.641745\pi$
$13$	0.488438	−	0.282000i	0.135468	−	0.0782127i	0.566203	+	0.824266i	$0.308412\pi$
$14$	−2.84357	+	2.43190i	−0.759975	+	0.649952i
$15$	4.63383	−	2.07960i	1.19645	−	0.536951i
$16$	0.324441	+	3.98682i	0.0811103	+	0.996705i
$17$	0.330952	+	0.191075i	0.0802677	+	0.0463426i	0.539597	−	0.841924i	$-0.318577\pi$
$17$	0.330952	+	0.191075i	0.0802677	+	0.0463426i	−0.459329	+	0.888266i	$0.651910\pi$
$18$	−4.23684	−	0.221827i	−0.998632	−	0.0522852i
$19$	4.34210	+	7.52073i	0.996145	+	1.72537i	0.574038	+	0.818829i	$0.305376\pi$
$19$	4.34210	+	7.52073i	0.996145	+	1.72537i	0.422107	+	0.906546i	$0.361291\pi$
$20$	−1.74661	−	5.59871i	−0.390554	−	1.25191i
$21$	−4.11722	+	2.01209i	−0.898451	+	0.439073i
$22$	−0.389982	−	2.55957i	−0.0831445	−	0.545702i
$23$	−4.16067	−	2.40216i	−0.867559	−	0.500885i	−0.00102274	−	0.999999i	$-0.500326\pi$
$23$	−4.16067	−	2.40216i	−0.867559	−	0.500885i	−0.866536	+	0.499114i	$0.833659\pi$
$24$	−0.837290	+	4.82690i	−0.170911	+	0.985286i
$25$	1.79952	+	3.11687i	0.359905	+	0.623374i
$26$	−0.120140	−	0.788516i	−0.0235614	−	0.154641i
$27$	−4.95592	−	1.56167i	−0.953768	−	0.300544i
$28$	1.74029	+	4.99714i	0.328884	+	0.944370i
$29$	−1.82266	+	3.15694i	−0.338459	+	0.586229i	−0.984143	−	0.177376i	$-0.943239\pi$
$29$	−1.82266	+	3.15694i	−0.338459	+	0.586229i	0.645684	+	0.763605i	$0.276572\pi$
$30$	−0.355016	−	7.17414i	−0.0648168	−	1.30981i
$31$	−0.654198			−0.117497			−0.0587487	−	0.998273i	$-0.518711\pi$
$31$	−0.654198			−0.117497			−0.0587487	+	0.998273i	$0.518711\pi$
$32$	5.41870	+	1.62409i	0.957900	+	0.287102i
$33$	0.322106	−	3.15459i	0.0560715	−	0.549144i
$34$	0.421996	−	0.337636i	0.0723716	−	0.0579041i
$35$	−4.09697	−	6.58849i	−0.692514	−	1.11366i
$36$	−2.47233	+	5.46695i	−0.412055	+	0.911159i
$37$	3.63968	+	6.30411i	0.598360	+	1.03639i	0.993063	+	0.117581i	$0.0375141\pi$
$37$	3.63968	+	6.30411i	0.598360	+	1.03639i	−0.394703	+	0.918809i	$0.629153\pi$
$38$	12.1412	−	1.84986i	1.96956	−	0.300087i
$39$	0.0992299	−	0.971823i	0.0158895	−	0.155616i
$40$	−8.27381	−	0.580115i	−1.30820	−	0.0917242i
$41$	8.94130	−	5.16226i	1.39640	−	0.806210i	0.402384	−	0.915471i	$-0.368182\pi$
$41$	8.94130	−	5.16226i	1.39640	−	0.806210i	0.994013	+	0.109261i	$0.0348485\pi$
$42$	0.531910	+	6.45888i	0.0820755	+	0.996626i
$43$	5.57437	+	3.21836i	0.850083	+	0.490796i	0.860679	−	0.509148i	$-0.170039\pi$
$43$	5.57437	+	3.21836i	0.850083	+	0.490796i	−0.0105955	+	0.999944i	$0.503373\pi$
$44$	−3.57234	−	0.803345i	−0.538550	−	0.121109i
$45$	1.77798	−	8.61570i	0.265046	−	1.28435i
$46$	−5.30525	+	4.24470i	−0.782216	+	0.625846i
$47$	−7.97727			−1.16360			−0.581802	−	0.813331i	$-0.697652\pi$
$47$	−7.97727			−1.16360			−0.581802	+	0.813331i	$0.697652\pi$
$48$	5.92753	+	3.58669i	0.855566	+	0.517694i
$49$	3.88897	+	5.82030i	0.555566	+	0.831472i
$50$	5.03175	−	0.766650i	0.711598	−	0.108421i
$51$	0.603879	−	0.271013i	0.0845600	−	0.0379494i
$52$	−1.10052	−	0.247483i	−0.152614	−	0.0343197i
$53$	−3.65087	+	6.32349i	−0.501485	+	0.868598i	0.498513	+	0.866882i	$0.333880\pi$
$53$	−3.65087	+	6.32349i	−0.501485	+	0.868598i	−0.999999	+	0.00171612i	$0.999454\pi$
$54$	−4.60730	+	5.72476i	−0.626973	+	0.779041i
$55$	5.36859			0.723901
$56$	7.47812	+	0.278894i	0.999305	+	0.0372687i
$57$	14.9637	+	1.52789i	1.98199	+	0.202375i
$58$	3.22070	+	4.02539i	0.422898	+	0.528560i
$59$	0.0693815			0.00903270			0.00451635	−	0.999990i	$-0.498562\pi$
$59$	0.0693815			0.00903270			0.00451635	+	0.999990i	$0.498562\pi$
$60$	−9.63302	−	3.22389i	−1.24362	−	0.416203i
$61$		−	9.83174i		−	1.25883i	−0.777071	−	0.629413i	$-0.783295\pi$
$61$		−	9.83174i		−	1.25883i	0.777071	−	0.629413i	$-0.216705\pi$
$62$	−0.336626	+	0.861761i	−0.0427516	+	0.109444i
$63$	−1.34899	+	7.82178i	−0.169957	+	0.985451i
$64$	4.92765	−	6.30224i	0.615956	−	0.787781i
$65$	1.65388			0.205139
$66$	−3.98974	−	2.04754i	−0.491103	−	0.252035i
$67$			1.81471i			0.221702i	0.993837	+	0.110851i	$0.0353576\pi$
$67$			1.81471i			0.221702i	−0.993837	+	0.110851i	$0.964642\pi$
$68$	−0.227618	−	0.729621i	−0.0276027	−	0.0884796i
$69$	−7.59185	+	3.40712i	−0.913951	+	0.410169i
$70$	−10.7870	+	2.00665i	−1.28930	+	0.239841i
$71$		−	9.64068i		−	1.14414i	−0.820205	−	0.572069i	$-0.806141\pi$
$71$		−	9.64068i		−	1.14414i	0.820205	−	0.572069i	$-0.193859\pi$
$72$	5.92933	+	6.06984i	0.698779	+	0.715338i
$73$	−13.1397	−	7.58623i	−1.53789	−	0.887901i	−0.998962	−	0.0455481i	$-0.985497\pi$
$73$	−13.1397	−	7.58623i	−1.53789	−	0.887901i	−0.538927	−	0.842353i	$-0.681170\pi$
$74$	10.1771	−	1.55061i	1.18307	−	0.180255i
$75$	6.20149	+	0.633216i	0.716087	+	0.0731174i
$76$	3.81063	−	16.9452i	0.437109	−	1.94375i
$77$	−4.84118	+	0.158473i	−0.551704	+	0.0180597i
$78$	−1.22910	−	0.630778i	−0.139168	−	0.0714215i
$79$			6.31873i			0.710913i	0.934693	+	0.355456i	$0.115675\pi$
$79$			6.31873i			0.710913i	−0.934693	+	0.355456i	$0.884325\pi$
$80$	−5.02157	+	10.6004i	−0.561429	+	1.18516i
$81$	−7.21789	+	5.37606i	−0.801988	+	0.597340i
$82$	−2.19928	−	14.4345i	−0.242869	−	1.59402i
$83$	2.90035	−	5.02356i	0.318355	−	0.551407i	−0.661790	−	0.749689i	$-0.730203\pi$
$83$	2.90035	−	5.02356i	0.318355	−	0.551407i	0.980145	+	0.198282i	$0.0635363\pi$
$84$	8.78184	+	2.62283i	0.958178	+	0.286174i
$85$	0.560312	+	0.970489i	0.0607744	+	0.105264i
$86$	7.10785	−	5.68695i	0.766459	−	0.613240i
$87$	2.58518	+	5.76037i	0.277160	+	0.617577i
$88$	−2.89642	+	4.29239i	−0.308760	+	0.457571i
$89$	−1.91814	+	1.10744i	−0.203323	+	0.117389i	−0.598204	−	0.801343i	$-0.704119\pi$
$89$	−1.91814	+	1.10744i	−0.203323	+	0.117389i	0.394882	+	0.918732i	$0.370786\pi$
$90$	−10.4344	−	6.77542i	−1.09988	−	0.714192i
$91$	−1.49140	+	0.0488201i	−0.156342	+	0.00511774i
$92$	2.86156	+	9.17265i	0.298339	+	0.956315i
$93$	−0.663300	+	0.918671i	−0.0687810	+	0.0952618i
$94$	−4.10481	+	10.5083i	−0.423379	+	1.08385i
$95$			25.4656i			2.61272i
$96$	7.77476	−	5.96264i	0.793508	−	0.608559i
$97$	1.59144	+	0.918820i	0.161587	+	0.0932921i	0.578613	−	0.815602i	$-0.303594\pi$
$97$	1.59144	+	0.918820i	0.161587	+	0.0932921i	−0.417026	+	0.908895i	$0.636928\pi$
$98$	9.66809	−	2.12794i	0.976624	−	0.214954i
$99$	−4.10332	−	3.65081i	−0.412399	−	0.366920i
$100$	1.57926	−	7.02272i	0.157926	−	0.702272i
$101$	−3.91963	+	2.26300i	−0.390018	+	0.225177i	−0.682168	−	0.731196i	$-0.738963\pi$
$101$	−3.91963	+	2.26300i	−0.390018	+	0.225177i	0.292150	+	0.956372i	$0.405629\pi$
$102$	−0.0462656	−	0.934930i	−0.00458098	−	0.0925719i
$103$	−7.02725	+	12.1716i	−0.692416	+	1.19930i	0.278628	+	0.960399i	$0.410120\pi$
$103$	−7.02725	+	12.1716i	−0.692416	+	1.19930i	−0.971044	+	0.238900i	$0.923213\pi$
$104$	−0.892289	+	1.32234i	−0.0874962	+	0.129666i
$105$	−13.4060	−	0.926911i	−1.30829	−	0.0904573i
$106$	6.45120	+	8.06305i	0.626596	+	0.783153i
$107$	−7.78206	+	4.49298i	−0.752320	+	0.434352i	−0.826532	−	0.562890i	$-0.809689\pi$
$107$	−7.78206	+	4.49298i	−0.752320	+	0.434352i	0.0742113	+	0.997243i	$0.476356\pi$
$108$	5.17036	+	9.01484i	0.497518	+	0.867454i
$109$	1.49757	−	2.59388i	0.143442	−	0.248448i	−0.785349	−	0.619054i	$-0.787516\pi$
$109$	1.49757	−	2.59388i	0.143442	−	0.248448i	0.928790	+	0.370605i	$0.120850\pi$
$110$	2.76248	−	7.07193i	0.263392	−	0.674283i
$111$	12.5430	+	1.28073i	1.19053	+	0.121561i
$112$	4.21535	−	9.70726i	0.398313	−	0.917250i
$113$	−4.05327	−	7.02047i	−0.381299	−	0.660430i	0.609949	−	0.792441i	$-0.291190\pi$
$113$	−4.05327	−	7.02047i	−0.381299	−	0.660430i	−0.991248	+	0.132011i	$0.957857\pi$
$114$	9.71242	−	18.9251i	0.909651	−	1.77250i
$115$	−7.04413	−	12.2008i	−0.656869	−	1.13773i
$116$	6.95982	−	2.17123i	0.646203	−	0.201594i
$117$	−1.26409	−	1.12469i	−0.116865	−	0.103978i
$118$	0.0357012	−	0.0913948i	0.00328656	−	0.00841357i
$119$	−0.533915	−	0.858609i	−0.0489439	−	0.0787086i
$120$	−9.20357	+	11.0305i	−0.840167	+	1.00694i
$121$	−3.82413	+	6.62359i	−0.347648	+	0.602144i
$122$	−12.9512	−	5.05906i	−1.17254	−	0.458025i
$123$	1.81649	−	17.7901i	0.163788	−	1.60408i
$124$	0.961965	+	0.886861i	0.0863870	+	0.0796425i
$125$		−	4.10817i		−	0.367446i
$126$	9.60933	+	5.80180i	0.856067	+	0.516865i
$127$			5.68040i			0.504054i	0.967720	+	0.252027i	$0.0810972\pi$
$127$			5.68040i			0.504054i	−0.967720	+	0.252027i	$0.918903\pi$
$128$	−5.76623	−	9.73399i	−0.509667	−	0.860371i
$129$	10.1714	−	4.56478i	0.895541	−	0.401907i
$130$	0.851026	−	2.17862i	0.0746399	−	0.191078i
$131$	3.88155	−	6.72304i	0.339133	−	0.587395i	−0.645137	−	0.764067i	$-0.723200\pi$
$131$	3.88155	−	6.72304i	0.339133	−	0.587395i	0.984270	+	0.176672i	$0.0565331\pi$
$132$	−4.75016	+	4.20201i	−0.413448	+	0.365738i
$133$	−0.751709	−	22.9639i	−0.0651814	−	1.99122i
$134$	2.39048	+	0.933783i	0.206506	+	0.0806665i
$135$	−10.2961	−	11.2323i	−0.886143	−	0.966726i
$136$	−1.07824	−	0.0756003i	−0.0924582	−	0.00648267i
$137$	−9.44452	−	16.3584i	−0.806900	−	1.39759i	−0.915001	−	0.403452i	$-0.867810\pi$
$137$	−9.44452	−	16.3584i	−0.806900	−	1.39759i	0.108101	−	0.994140i	$-0.465523\pi$
$138$	0.581642	+	11.7538i	0.0495126	+	1.00055i
$139$	−3.57292	−	6.18848i	−0.303051	−	0.524900i	0.673774	−	0.738937i	$-0.264672\pi$
$139$	−3.57292	−	6.18848i	−0.303051	−	0.524900i	−0.976826	+	0.214037i	$0.931339\pi$
$140$	−2.90729	+	15.2421i	−0.245711	+	1.28819i
$141$	−8.08826	+	11.2022i	−0.681155	+	0.943399i
$142$	−12.6995	−	4.96074i	−1.06572	−	0.416296i
$143$	0.516278	−	0.894220i	0.0431734	−	0.0747785i
$144$	11.0467	−	4.68727i	0.920558	−	0.390606i
$145$	−9.25745	+	5.34479i	−0.768789	+	0.443861i
$146$	−16.7544	+	13.4051i	−1.38660	+	1.10941i
$147$	12.1164	+	0.440126i	0.999341	+	0.0363010i
$148$	3.19419	−	14.2040i	0.262561	−	1.16756i
$149$	−4.90778	+	8.50053i	−0.402061	+	0.696390i	−0.993975	−	0.109611i	$-0.965039\pi$
$149$	−4.90778	+	8.50053i	−0.402061	+	0.696390i	0.591913	+	0.806002i	$0.298373\pi$
$150$	4.02518	−	7.84327i	0.328655	−	0.640400i
$151$	3.24987	−	1.87632i	0.264471	−	0.152692i	−0.361901	−	0.932216i	$-0.617872\pi$
$151$	3.24987	−	1.87632i	0.264471	−	0.152692i	0.626372	+	0.779524i	$0.284539\pi$
$152$	−20.3608	−	13.7390i	−1.65148	−	1.11438i
$153$	0.231706	−	1.12279i	0.0187323	−	0.0907725i
$154$	−2.28234	+	6.45874i	−0.183916	+	0.520460i
$155$	−1.66136	−	0.959189i	−0.133444	−	0.0770439i
$156$	−1.46336	+	1.29450i	−0.117163	+	0.103643i
$157$			6.54953i			0.522709i	0.965243	+	0.261355i	$0.0841692\pi$
$157$			6.54953i			0.522709i	−0.965243	+	0.261355i	$0.915831\pi$
$158$	8.32353	+	3.25139i	0.662185	+	0.258666i
$159$	5.17823	+	11.5383i	0.410660	+	0.915046i
$160$	11.3798	+	12.0694i	0.899651	+	0.954169i
$161$	6.71227	+	10.7943i	0.529001	+	0.850707i
$162$	3.36771	+	12.2743i	0.264592	+	0.964360i
$163$	−11.1236	+	6.42221i	−0.871268	+	0.503027i	−0.867769	−	0.496967i	$-0.834447\pi$
$163$	−11.1236	+	6.42221i	−0.871268	+	0.503027i	−0.00349827	+	0.999994i	$0.501114\pi$
$164$	−20.1459	−	4.53041i	−1.57313	−	0.353765i
$165$	5.44329	−	7.53896i	0.423760	−	0.586907i
$166$	−5.12501	−	6.40551i	−0.397778	−	0.497164i
$167$	−1.76904	−	3.06407i	−0.136893	−	0.237105i	0.789426	−	0.613846i	$-0.210378\pi$
$167$	−1.76904	−	3.06407i	−0.136893	−	0.237105i	−0.926319	+	0.376740i	$0.877045\pi$
$168$	7.97381	−	10.2185i	0.615193	−	0.788377i
$169$	−6.34095	+	10.9829i	−0.487766	+	0.844835i
$170$	1.56672	−	0.238709i	0.120162	−	0.0183082i
$171$	17.3174	−	19.4639i	1.32430	−	1.48844i
$172$	−3.83386	−	12.2893i	−0.292329	−	0.937052i
$173$		−	9.95747i		−	0.757052i	−0.925591	−	0.378526i	$-0.876431\pi$
$173$		−	9.95747i		−	0.757052i	0.925591	−	0.378526i	$-0.123569\pi$
$174$	8.91826	−	0.441325i	0.676091	−	0.0334568i
$175$	−0.311536	−	9.51709i	−0.0235499	−	0.719425i
$176$	4.16389	+	6.02411i	0.313865	+	0.454084i
$177$	0.0703469	−	0.0974304i	0.00528759	−	0.00732332i
$178$	0.471802	+	3.09658i	0.0353631	+	0.232099i
$179$	−0.147551	−	0.0851888i	−0.0110285	−	0.00636731i	0.494476	−	0.869192i	$-0.335360\pi$
$179$	−0.147551	−	0.0851888i	−0.0110285	−	0.00636731i	−0.505504	+	0.862824i	$0.668693\pi$
$180$	−14.2943	+	10.2586i	−1.06543	+	0.764633i
$181$		−	15.4196i		−	1.14613i	−0.819511	−	0.573064i	$-0.805755\pi$
$181$		−	15.4196i		−	1.14613i	0.819511	−	0.573064i	$-0.194245\pi$
$182$	−0.703112	+	1.98972i	−0.0521181	+	0.147488i
$183$	−13.8064	−	9.96854i	−1.02060	−	0.736896i
$184$	13.5554	+	0.950432i	0.999318	+	0.0700667i
$185$			21.3461i			1.56940i
$186$	0.868837	+	1.34647i	0.0637062	+	0.0987277i
$187$	0.699633			0.0511622
$188$	11.7302	+	10.8144i	0.855510	+	0.788718i
$189$	9.61614	+	9.82496i	0.699471	+	0.714661i
$190$	33.5454	+	13.1037i	2.43364	+	0.950642i
$191$			14.4684i			1.04689i	0.852058	+	0.523447i	$0.175354\pi$
$191$			14.4684i			1.04689i	−0.852058	+	0.523447i	$0.824646\pi$
$192$	−3.85385	−	13.3097i	−0.278128	−	0.960544i
$193$	19.8723			1.43044			0.715218	−	0.698901i	$-0.246327\pi$
$193$	19.8723			1.43044			0.715218	+	0.698901i	$0.246327\pi$
$194$	2.02924	−	1.62358i	0.145691	−	0.116567i
$195$	1.67689	−	2.32250i	0.120085	−	0.166317i
$196$	2.17175	−	13.8305i	0.155125	−	0.987895i
$197$	−18.7081			−1.33289			−0.666447	−	0.745553i	$-0.732186\pi$
$197$	−18.7081			−1.33289			−0.666447	+	0.745553i	$0.732186\pi$
$198$	−6.92056	+	3.52664i	−0.491823	+	0.250628i
$199$	1.44143	−	2.49663i	0.102180	−	0.176981i	−0.810402	−	0.585874i	$-0.800751\pi$
$199$	1.44143	−	2.49663i	0.102180	−	0.176981i	0.912583	+	0.408892i	$0.134085\pi$
$200$	−8.43825	−	5.69396i	−0.596674	−	0.402624i
$201$	2.54834	+	1.83996i	0.179746	+	0.129781i
$202$	0.964104	+	6.32770i	0.0678341	+	0.445216i
$203$	8.19023	−	5.09299i	0.574841	−	0.357458i
$204$	−1.25537	−	0.420136i	−0.0878936	−	0.0294154i
$205$	30.2758			2.11455
$206$	12.4174	+	15.5199i	0.865160	+	1.08132i
$207$	−2.91296	+	14.1155i	−0.202465	+	0.981098i
$208$	1.28275	+	1.85582i	0.0889429	+	0.128678i
$209$	13.7688	+	7.94941i	0.952406	+	0.549872i
$210$	−8.11924	+	17.1825i	−0.560281	+	1.18570i
$211$	16.7550	−	9.67350i	1.15346	−	0.665951i	0.203733	−	0.979026i	$-0.434693\pi$
$211$	16.7550	−	9.67350i	1.15346	−	0.665951i	0.949728	+	0.313075i	$0.101359\pi$
$212$	13.9408	−	4.34908i	0.957461	−	0.298696i
$213$	−13.5381	−	9.77482i	−0.927617	−	0.669760i
$214$	1.91414	+	12.5631i	0.130848	+	0.858794i
$215$	9.43757	+	16.3464i	0.643637	+	1.11481i
$216$	14.5355	−	2.17210i	0.989018	−	0.147792i
$217$	1.52647	+	0.815918i	0.103623	+	0.0553881i
$218$	−2.64626	−	3.30744i	−0.179227	−	0.224008i
$219$	−23.9757	+	10.7600i	−1.62013	+	0.727091i
$220$	−7.89424	−	7.27792i	−0.532230	−	0.490677i
$221$	0.215533			0.0144983
$222$	8.14125	−	15.8636i	0.546405	−	1.06470i
$223$	−9.86207	+	17.0816i	−0.660413	+	1.14387i	0.320095	+	0.947386i	$0.396285\pi$
$223$	−9.86207	+	17.0816i	−0.660413	+	1.14387i	−0.980507	+	0.196483i	$0.937048\pi$
$224$	−10.6181	−	10.5478i	−0.709452	−	0.704754i
$225$	7.17699	−	8.06655i	0.478466	−	0.537770i
$226$	−11.3336	+	1.72681i	−0.753898	+	0.114866i
$227$	0.648829	+	1.12380i	0.0430643	+	0.0745895i	0.886754	−	0.462241i	$-0.152955\pi$
$227$	0.648829	+	1.12380i	0.0430643	+	0.0745895i	−0.843690	+	0.536831i	$0.819621\pi$
$228$	−19.9320	−	22.5321i	−1.32003	−	1.49223i
$229$	11.2908	+	6.51872i	0.746114	+	0.430769i	0.824288	−	0.566171i	$-0.191576\pi$
$229$	11.2908	+	6.51872i	0.746114	+	0.430769i	−0.0781741	+	0.996940i	$0.524909\pi$
$230$	−19.6965	+	3.00101i	−1.29875	+	0.197881i
$231$	−4.68601	+	6.95902i	−0.308317	+	0.457870i
$232$	0.721147	−	10.2853i	0.0473456	−	0.675261i
$233$	−8.17297	−	14.1560i	−0.535429	−	0.927390i	−0.999142	−	0.0414048i	$-0.986817\pi$
$233$	−8.17297	−	14.1560i	−0.535429	−	0.927390i	0.463714	−	0.885985i	$-0.346517\pi$
$234$	−2.13199	+	1.08644i	−0.139372	+	0.0710227i
$235$	−20.2586	−	11.6963i	−1.32153	−	0.762984i
$236$	−0.102022	−	0.0940568i	−0.00664106	−	0.00612258i
$237$	8.87321	+	6.40665i	0.576377	+	0.416157i
$238$	−1.40576	+	0.261506i	−0.0911220	+	0.0169509i
$239$	−7.08294	+	4.08934i	−0.458157	+	0.264517i	−0.711269	−	0.702920i	$-0.751879\pi$
$239$	−7.08294	+	4.08934i	−0.458157	+	0.264517i	0.253112	+	0.967437i	$0.418546\pi$
$240$	9.79441	+	17.7995i	0.632226	+	1.14896i
$241$	7.30903	−	4.21987i	0.470816	−	0.271826i	−0.245765	−	0.969329i	$-0.579039\pi$
$241$	7.30903	−	4.21987i	0.470816	−	0.271826i	0.716581	+	0.697504i	$0.245706\pi$
$242$	6.75736	+	8.44570i	0.434379	+	0.542910i
$243$	0.231124	+	15.5867i	0.0148266	+	0.999890i
$244$	−13.3284	+	14.4571i	−0.853262	+	0.925520i
$245$	1.34243	+	20.4830i	0.0857647	+	1.30861i
$246$	−22.4998	−	11.5470i	−1.43454	−	0.736208i
$247$	4.24169	+	2.44894i	0.269892	+	0.155822i
$248$	1.66324	−	0.810830i	0.105616	−	0.0514877i
$249$	−4.11373	−	9.16634i	−0.260697	−	0.580893i
$250$	−5.41160	−	2.11391i	−0.342260	−	0.133696i
$251$	13.3180			0.840622			0.420311	−	0.907380i	$-0.361921\pi$
$251$	13.3180			0.840622			0.420311	+	0.907380i	$0.361921\pi$
$252$	12.5872	−	9.67277i	0.792919	−	0.609327i
$253$	−8.79564			−0.552977
$254$	7.48267	+	2.92293i	0.469505	+	0.183401i
$255$	1.93094	+	0.197162i	0.120920	+	0.0123468i
$256$	−15.7895	+	2.58698i	−0.986842	+	0.161686i
$257$	2.00922	+	1.16003i	0.125332	+	0.0723604i	0.561355	−	0.827575i	$-0.310280\pi$
$257$	2.00922	+	1.16003i	0.125332	+	0.0723604i	−0.436023	+	0.899935i	$0.643613\pi$
$258$	−0.779271	−	15.7474i	−0.0485153	−	0.980392i
$259$	−0.630106	−	19.2491i	−0.0391529	−	1.19608i
$260$	−2.43195	−	2.24208i	−0.150823	−	0.139048i
$261$	10.7103	+	2.21023i	0.662949	+	0.136810i
$262$	−6.85882	−	8.57252i	−0.423739	−	0.529612i
$263$	24.6237	−	14.2165i	1.51836	−	0.876626i	0.518593	−	0.855021i	$-0.326456\pi$
$263$	24.6237	−	14.2165i	1.51836	−	0.876626i	0.999767	−	0.0216045i	$-0.00687747\pi$
$264$	3.09096	+	8.41948i	0.190236	+	0.518183i
$265$	−18.5431	+	10.7059i	−1.13909	+	0.657656i
$266$	−30.6367	−	10.8262i	−1.87846	−	0.663796i
$267$	−0.389686	+	3.81645i	−0.0238484	+	0.233563i
$268$	2.46011	−	2.66844i	0.150275	−	0.163001i
$269$	13.5982	+	7.85090i	0.829094	+	0.478678i	0.853542	−	0.521023i	$-0.174450\pi$
$269$	13.5982	+	7.85090i	0.829094	+	0.478678i	−0.0244481	+	0.999701i	$0.507783\pi$
$270$	−20.0941	+	7.78303i	−1.22289	+	0.473660i
$271$	−0.243398	−	0.421578i	−0.0147854	−	0.0256091i	0.858538	−	0.512750i	$-0.171373\pi$
$271$	−0.243398	−	0.421578i	−0.0147854	−	0.0256091i	−0.873323	+	0.487141i	$0.838040\pi$
$272$	−0.654409	+	1.38144i	−0.0396794	+	0.0837621i
$273$	−1.44360	+	2.14384i	−0.0873706	+	0.129751i
$274$	−26.4084	+	4.02364i	−1.59539	+	0.243077i
$275$	5.70629	+	3.29453i	0.344102	+	0.198667i
$276$	15.7823	+	5.28187i	0.949981	+	0.317931i
$277$	3.72114	+	6.44520i	0.223581	+	0.387254i	0.955893	−	0.293715i	$-0.0948918\pi$
$277$	3.72114	+	6.44520i	0.223581	+	0.387254i	−0.732311	+	0.680970i	$0.761558\pi$
$278$	−9.99046	+	1.52217i	−0.599188	+	0.0912937i
$279$	0.617534	+	1.86291i	0.0369708	+	0.111529i
$280$	18.5821	+	11.6727i	1.11049	+	0.697579i
$281$	13.2312	−	22.9172i	0.789310	−	1.36712i	−0.137081	−	0.990560i	$-0.543772\pi$
$281$	13.2312	−	22.9172i	0.789310	−	1.36712i	0.926390	−	0.376565i	$-0.122895\pi$
$282$	10.5946	+	16.4188i	0.630897	+	0.977723i
$283$	29.4011			1.74771			0.873857	−	0.486184i	$-0.161611\pi$
$283$	29.4011			1.74771			0.873857	+	0.486184i	$0.161611\pi$
$284$	−13.0694	+	14.1761i	−0.775524	+	0.841198i
$285$	35.7607	+	25.8200i	2.11828	+	1.52944i
$286$	−0.912280	−	1.14022i	−0.0539443	−	0.0674224i
$287$	−27.3015	+	0.893697i	−1.61156	+	0.0527533i
$288$	−0.490220	−	16.9635i	−0.0288865	−	0.999583i
$289$	−8.42698	−	14.5960i	−0.495705	−	0.858586i
$290$	2.27704	+	14.9449i	0.133712	+	0.877593i
$291$	2.90386	−	1.30321i	0.170227	−	0.0763957i
$292$	9.03706	+	28.9680i	0.528854	+	1.69522i
$293$	13.7086	−	7.91467i	0.800866	−	0.462380i	−0.0429080	−	0.999079i	$-0.513662\pi$
$293$	13.7086	−	7.91467i	0.800866	−	0.462380i	0.843774	+	0.536699i	$0.180329\pi$
$294$	6.81441	−	15.7342i	0.397424	−	0.917635i
$295$	0.176197	+	0.101728i	0.0102586	+	0.00592281i
$296$	−17.0670	−	11.5165i	−0.992001	−	0.669383i
$297$	−9.28715	+	2.06056i	−0.538895	+	0.119566i
$298$	8.67221	+	10.8390i	0.502367	+	0.627885i
$299$	−2.70964			−0.156702
$300$	−8.26056	−	9.33815i	−0.476924	−	0.539138i
$301$	−8.99295	−	14.4619i	−0.518345	−	0.833571i
$302$	−0.799365	−	5.24647i	−0.0459983	−	0.301901i
$303$	−0.796302	+	7.79871i	−0.0457464	+	0.448024i
$304$	−28.5751	+	19.7512i	−1.63889	+	1.13281i
$305$	14.4154	−	24.9682i	0.825422	−	1.42967i
$306$	−1.35981	−	0.882970i	−0.0777349	−	0.0504760i
$307$	2.28683			0.130517			0.0652583	−	0.997868i	$-0.479213\pi$
$307$	2.28683			0.130517			0.0652583	+	0.997868i	$0.479213\pi$
$308$	7.33355	+	6.32991i	0.417868	+	0.360680i
$309$	9.96714	+	22.2091i	0.567011	+	1.26343i
$310$	−2.11840	+	1.69492i	−0.120317	+	0.0962648i
$311$	−5.60173			−0.317645			−0.158822	−	0.987307i	$-0.550770\pi$
$311$	−5.60173			−0.317645			−0.158822	+	0.987307i	$0.550770\pi$
$312$	0.952220	+	2.59376i	0.0539088	+	0.146843i
$313$			8.81602i			0.498311i	0.968464	+	0.249155i	$0.0801530\pi$
$313$			8.81602i			0.498311i	−0.968464	+	0.249155i	$0.919847\pi$
$314$	8.62755	+	3.37015i	0.486881	+	0.190188i
$315$	−14.8942	+	17.8859i	−0.839191	+	1.00775i
$316$	8.56597	−	9.29137i	0.481873	−	0.522681i
$317$	−3.20647			−0.180094			−0.0900468	−	0.995938i	$-0.528702\pi$
$317$	−3.20647			−0.180094			−0.0900468	+	0.995938i	$0.528702\pi$
$318$	17.8637	−	0.883995i	1.00175	−	0.0495720i
$319$			6.67376i			0.373659i
$320$	21.7544	−	8.77988i	1.21611	−	0.490810i
$321$	−1.58099	+	15.4836i	−0.0882420	+	0.864211i
$322$	17.6729	−	3.28760i	0.984875	−	0.183211i
$323$			3.31867i			0.184656i
$324$	17.9016	+	1.87969i	0.994533	+	0.104427i
$325$	1.75791	+	1.01493i	0.0975114	+	0.0562983i
$326$	2.73605	+	17.9575i	0.151536	+	0.994575i
$327$	−2.12409	−	4.73297i	−0.117463	−	0.261734i
$328$	−16.3342	+	24.2066i	−0.901904	+	1.33659i
$329$	18.6137	+	9.94928i	1.02621	+	0.548521i
$330$	−7.13000	−	11.0496i	−0.392493	−	0.608261i
$331$		−	15.5698i		−	0.855794i	−0.903827	−	0.427897i	$-0.859255\pi$
$331$		−	15.5698i		−	0.855794i	0.903827	−	0.427897i	$-0.140745\pi$
$332$	−11.0750	+	3.45503i	−0.607819	+	0.189619i
$333$	14.5160	−	16.3152i	0.795473	−	0.894070i
$334$	−4.94653	+	0.753665i	−0.270662	+	0.0412387i
$335$	−2.66074	+	4.60853i	−0.145372	+	0.251791i
$336$	−9.35763	−	15.7618i	−0.510500	−	0.859877i
$337$	−1.89825	−	3.28787i	−0.103404	−	0.179102i	0.809681	−	0.586871i	$-0.199640\pi$
$337$	−1.89825	−	3.28787i	−0.103404	−	0.179102i	−0.913085	+	0.407769i	$0.866307\pi$
$338$	11.2047	+	14.0042i	0.609453	+	0.761727i
$339$	−13.9683	−	1.42626i	−0.758654	−	0.0774639i
$340$	0.491730	−	2.18664i	0.0266678	−	0.118587i
$341$	−1.03723	+	0.598845i	−0.0561691	+	0.0324293i
$342$	−16.7285	−	32.8273i	−0.904571	−	1.77510i
$343$	−1.81518	−	18.4311i	−0.0980104	−	0.995185i
$344$	−18.1612	−	1.27337i	−0.979188	−	0.0686554i
$345$	−24.2754	−	2.47868i	−1.30694	−	0.133448i
$346$	−13.1168	−	5.12375i	−0.705162	−	0.275454i
$347$		−	16.5711i		−	0.889586i	−0.895633	−	0.444793i	$-0.853277\pi$
$347$		−	16.5711i		−	0.889586i	0.895633	−	0.444793i	$-0.146723\pi$
$348$	4.00766	−	11.9749i	0.214833	−	0.641923i
$349$	−22.4588	−	12.9666i	−1.20219	−	0.694087i	−0.241152	−	0.970487i	$-0.577525\pi$
$349$	−22.4588	−	12.9666i	−1.20219	−	0.694087i	−0.961043	+	0.276400i	$0.910859\pi$
$350$	−12.6970	−	4.48677i	−0.678682	−	0.239828i
$351$	−2.86105	+	0.634789i	−0.152712	+	0.0338825i
$352$	10.0780	−	2.38522i	0.537160	−	0.127133i
$353$	0.184978	−	0.106797i	0.00984539	−	0.00568424i	−0.495069	−	0.868854i	$-0.664857\pi$
$353$	0.184978	−	0.106797i	0.00984539	−	0.00568424i	0.504915	+	0.863169i	$0.331524\pi$
$354$	−0.0921452	−	0.142801i	−0.00489746	−	0.00758977i
$355$	14.1352	−	24.4829i	0.750220	−	1.29942i
$356$	4.32183	+	0.971891i	0.229057	+	0.0515101i
$357$	−1.74706	−	0.120795i	−0.0924644	−	0.00639313i
$358$	−0.188142	+	0.150531i	−0.00994361	+	0.00795583i
$359$	23.6659	−	13.6635i	1.24904	−	0.721133i	0.278121	−	0.960546i	$-0.410288\pi$
$359$	23.6659	−	13.6635i	1.24904	−	0.721133i	0.970918	+	0.239413i	$0.0769551\pi$
$360$	6.15817	+	24.1083i	0.324564	+	1.27062i
$361$	−28.2076	+	48.8570i	−1.48461	+	2.57142i
$362$	−20.3119	−	7.93435i	−1.06757	−	0.417020i
$363$	5.42397	+	12.0859i	0.284685	+	0.634343i
$364$	2.25922	+	1.95003i	0.118415	+	0.102209i
$365$	−22.2460	−	38.5311i	−1.16441	−	2.01681i
$366$	−20.2356	+	13.0575i	−1.05773	+	0.682526i
$367$	−14.0722	−	24.3737i	−0.734562	−	1.27230i	−0.954915	−	0.296878i	$-0.904054\pi$
$367$	−14.0722	−	24.3737i	−0.734562	−	1.27230i	0.220354	−	0.975420i	$-0.429279\pi$
$368$	8.22710	−	17.3672i	0.428867	−	0.905328i
$369$	−23.1404	−	20.5885i	−1.20464	−	1.07179i
$370$	28.1188	+	10.9839i	1.46183	+	0.571027i
$371$	16.4054	−	10.2015i	0.851726	−	0.529635i
$372$	2.22074	−	0.451658i	0.115140	−	0.0234174i
$373$	−3.41247	+	5.91057i	−0.176691	+	0.306038i	−0.940745	−	0.339114i	$-0.889873\pi$
$373$	−3.41247	+	5.91057i	−0.176691	+	0.306038i	0.764054	+	0.645152i	$0.223206\pi$
$374$	0.360005	−	0.921611i	0.0186154	−	0.0476554i
$375$	−5.76898	−	4.16533i	−0.297909	−	0.215097i
$376$	20.2814	−	9.88723i	1.04594	−	0.509895i
$377$			2.05596i			0.105887i
$378$	17.8903	−	7.61157i	0.920179	−	0.391497i
$379$			24.6134i			1.26431i	0.774843	+	0.632153i	$0.217829\pi$
$379$			24.6134i			1.26431i	−0.774843	+	0.632153i	$0.782171\pi$
$380$	34.5224	−	37.4459i	1.77096	−	1.92094i
$381$	7.97682	+	5.75944i	0.408665	+	0.295065i
$382$	19.0589	+	7.44489i	0.975137	+	0.380914i
$383$	15.5567	−	26.9450i	0.794911	−	1.37683i	−0.127985	−	0.991776i	$-0.540851\pi$
$383$	15.5567	−	26.9450i	0.794911	−	1.37683i	0.922896	−	0.385050i	$-0.125816\pi$
$384$	−19.5156	−	1.77208i	−0.995903	−	0.0904311i
$385$	−12.5268	−	6.69573i	−0.638423	−	0.341246i
$386$	10.2255	−	26.1773i	0.520466	−	1.33239i
$387$	3.90272	−	18.9117i	0.198386	−	0.961335i
$388$	−1.09454	−	3.50851i	−0.0555669	−	0.178118i
$389$	7.19219	+	12.4572i	0.364658	+	0.631607i	0.988721	−	0.149767i	$-0.0478525\pi$
$389$	7.19219	+	12.4572i	0.364658	+	0.631607i	−0.624063	+	0.781374i	$0.714519\pi$
$390$	−2.19651	−	3.40401i	−0.111225	−	0.172369i
$391$	−0.917988	−	1.59000i	−0.0464247	−	0.0804099i
$392$	−17.1012	−	9.97749i	−0.863739	−	0.503939i
$393$	−5.50542	−	12.2673i	−0.277712	−	0.618805i
$394$	−9.62648	+	24.6437i	−0.484975	+	1.24153i
$395$	−9.26457	+	16.0467i	−0.466151	+	0.807397i
$396$	1.08451	+	10.9310i	0.0544986	+	0.549303i
$397$	3.00720	−	1.73621i	0.150927	−	0.0871377i	−0.422635	−	0.906300i	$-0.638895\pi$
$397$	3.00720	−	1.73621i	0.150927	−	0.0871377i	0.573562	+	0.819162i	$0.305561\pi$
$398$	−2.54705	−	3.18344i	−0.127672	−	0.159571i
$399$	−33.0097	−	22.2278i	−1.65255	−	1.11278i
$400$	−11.8426	+	8.18562i	−0.592128	+	0.409281i
$401$	−16.9918	+	29.4307i	−0.848530	+	1.46970i	0.0339901	+	0.999422i	$0.489179\pi$
$401$	−16.9918	+	29.4307i	−0.848530	+	1.46970i	−0.882520	+	0.470275i	$0.844155\pi$
$402$	3.73502	−	2.41011i	0.186286	−	0.120205i
$403$	−0.319535	+	0.184484i	−0.0159172	+	0.00918978i
$404$	8.83144	+	1.98601i	0.439381	+	0.0988076i
$405$	−26.2126	+	3.06982i	−1.30251	+	0.152541i
$406$	−2.49449	−	13.4095i	−0.123800	−	0.665502i
$407$	11.5414	+	6.66344i	0.572087	+	0.330295i
$408$	−1.19940	+	1.43749i	−0.0593794	+	0.0711662i
$409$			14.2902i			0.706603i	0.935510	+	0.353301i	$0.114941\pi$
$409$			14.2902i			0.706603i	−0.935510	+	0.353301i	$0.885059\pi$
$410$	15.5788	−	39.8817i	0.769382	−	1.96961i
$411$	−32.5475	−	3.32333i	−1.60545	−	0.163928i
$412$	26.8336	−	8.37118i	1.32199	−	0.412419i
$413$	−0.161891	−	0.0865328i	−0.00796612	−	0.00425800i
$414$	17.0952	+	11.1005i	0.840183	+	0.545561i
$415$	14.7311	−	8.50503i	0.723124	−	0.417496i
$416$	3.10469	−	0.734805i	0.152220	−	0.0360268i
$417$	−12.3129	−	1.25724i	−0.602968	−	0.0615672i
$418$	17.5565	−	14.0469i	0.858716	−	0.687054i
$419$	−3.26093	−	5.64810i	−0.159307	−	0.275928i	0.775312	−	0.631579i	$-0.217593\pi$
$419$	−3.26093	−	5.64810i	−0.159307	−	0.275928i	−0.934619	+	0.355651i	$0.884259\pi$
$420$	18.4563	+	19.5368i	0.900574	+	0.953297i
$421$	−3.51243	+	6.08371i	−0.171185	+	0.296502i	−0.938835	−	0.344369i	$-0.888093\pi$
$421$	−3.51243	+	6.08371i	−0.171185	+	0.296502i	0.767649	+	0.640870i	$0.221426\pi$
$422$	−4.12120	−	27.0486i	−0.200617	−	1.31671i
$423$	7.53019	+	22.7162i	0.366130	+	1.10450i
$424$	1.44449	−	20.6019i	0.0701507	−	1.00051i
$425$			1.37538i			0.0667157i
$426$	−19.8424	+	12.8037i	−0.961367	+	0.620343i
$427$	−12.2622	+	22.9408i	−0.593409	+	1.11018i
$428$	17.5340	+	3.94304i	0.847539	+	0.190594i
$429$	−0.732266	−	1.63166i	−0.0353541	−	0.0787772i
$430$	26.3889	−	4.02068i	1.27259	−	0.193895i
$431$	16.8002	+	9.69959i	0.809236	+	0.467213i	0.846691	−	0.532086i	$-0.178592\pi$
$431$	16.8002	+	9.69959i	0.809236	+	0.467213i	−0.0374543	+	0.999298i	$0.511925\pi$
$432$	4.61820	−	20.2650i	0.222193	−	0.975003i
$433$		−	20.5238i		−	0.986309i	−0.869942	−	0.493154i	$-0.835844\pi$
$433$		−	20.5238i		−	0.986309i	0.869942	−	0.493154i	$-0.164156\pi$
$434$	1.86026	−	1.59094i	0.0892951	−	0.0763676i
$435$	−1.88072	+	18.4191i	−0.0901737	+	0.883129i
$436$	−5.71849	+	1.78398i	−0.273866	+	0.0854371i
$437$		−	41.7217i		−	1.99582i
$438$	1.83687	+	37.1193i	0.0877692	+	1.77363i
$439$	6.99396			0.333803			0.166902	−	0.985974i	$-0.446624\pi$
$439$	6.99396			0.333803			0.166902	+	0.985974i	$0.446624\pi$
$440$	−13.6491	+	6.65397i	−0.650697	+	0.317216i
$441$	12.9030	−	16.5684i	0.614429	−	0.788972i
$442$	0.110905	−	0.283917i	0.00527523	−	0.0135046i
$443$		−	3.23523i		−	0.153710i	−0.997042	−	0.0768552i	$-0.975512\pi$
$443$		−	3.23523i		−	0.153710i	0.997042	−	0.0768552i	$-0.0244879\pi$
$444$	−16.7076	−	18.8871i	−0.792910	−	0.896344i
$445$	−6.49495			−0.307890
$446$	17.4266	+	21.7807i	0.825172	+	1.03134i
$447$	6.96098	+	15.5107i	0.329243	+	0.733629i
$448$	−19.3581	+	8.55951i	−0.914583	+	0.404399i
$449$	15.0764			0.711500			0.355750	−	0.934581i	$-0.384225\pi$
$449$	15.0764			0.711500			0.355750	+	0.934581i	$0.384225\pi$
$450$	−6.93289	−	13.6048i	−0.326819	−	0.641339i
$451$	9.45095	−	16.3695i	0.445028	−	0.770811i
$452$	−3.55715	+	15.8180i	−0.167314	+	0.744018i
$453$	0.660237	−	6.46613i	0.0310206	−	0.303805i
$454$	1.81423	−	0.276420i	0.0851459	−	0.0129730i
$455$	−3.85907	−	2.06273i	−0.180916	−	0.0967021i
$456$	−39.9374	+	14.6618i	−1.87024	+	0.686603i
$457$	26.9060			1.25861			0.629304	−	0.777159i	$-0.283340\pi$
$457$	26.9060			1.25861			0.629304	+	0.777159i	$0.283340\pi$
$458$	14.3968	−	11.5188i	0.672717	−	0.538237i
$459$	−1.34178	−	1.46379i	−0.0626288	−	0.0683241i
$460$	−6.18194	+	27.4900i	−0.288234	+	1.28173i
$461$	−13.3994	−	7.73613i	−0.624071	−	0.360307i	0.154381	−	0.988011i	$-0.450662\pi$
$461$	−13.3994	−	7.73613i	−0.624071	−	0.360307i	−0.778452	+	0.627704i	$0.783995\pi$
$462$	6.75572	+	9.75363i	0.314305	+	0.453780i
$463$	−5.18126	+	2.99140i	−0.240793	+	0.139022i	−0.615541	−	0.788105i	$-0.711063\pi$
$463$	−5.18126	+	2.99140i	−0.240793	+	0.139022i	0.374748	+	0.927127i	$0.377729\pi$
$464$	−13.1775	−	6.24237i	−0.611750	−	0.289795i
$465$	−3.03144	+	1.36047i	−0.140580	+	0.0630903i
$466$	−22.8529	+	3.48192i	−1.05864	+	0.161297i
$467$	16.0086	+	27.7278i	0.740791	+	1.28309i	0.952136	+	0.305676i	$0.0988824\pi$
$467$	16.0086	+	27.7278i	0.740791	+	1.28309i	−0.211345	+	0.977412i	$0.567784\pi$
$468$	0.334100	+	3.36746i	0.0154438	+	0.155661i
$469$	2.26331	−	4.23434i	0.104510	−	0.195523i
$470$	−25.8317	+	20.6678i	−1.19153	+	0.953333i
$471$	9.19731	+	6.64066i	0.423790	+	0.305985i
$472$	−0.176396	+	0.0859932i	−0.00811928	+	0.00395816i
$473$	11.7842			0.541838
$474$	13.0052	−	8.39187i	0.597348	−	0.385451i
$475$	−15.6274	+	27.0675i	−0.717035	+	1.24194i
$476$	−0.378877	+	1.98634i	−0.0173658	+	0.0910438i
$477$	21.4532	+	4.42719i	0.982273	+	0.202707i
$478$	1.74218	+	11.4344i	0.0796854	+	0.522999i
$479$	11.9382	+	20.6776i	0.545470	+	0.944782i	0.998577	+	0.0533262i	$0.0169823\pi$
$479$	11.9382	+	20.6776i	0.545470	+	0.944782i	−0.453107	+	0.891456i	$0.649684\pi$
$480$	28.4868	−	3.74297i	1.30024	−	0.170843i
$481$	3.55552	+	2.05278i	0.162118	+	0.0935987i
$482$	−1.79779	−	11.7994i	−0.0818871	−	0.537449i
$483$	21.9637	+	1.51861i	0.999385	+	0.0690990i
$484$	14.6024	−	4.55548i	0.663747	−	0.207067i
$485$	2.69436	+	4.66677i	0.122345	+	0.211907i
$486$	20.6510	+	7.71591i	0.936749	+	0.350001i
$487$	3.70986	+	2.14189i	0.168110	+	0.0970582i	0.581694	−	0.813408i	$-0.302390\pi$
$487$	3.70986	+	2.14189i	0.168110	+	0.0970582i	−0.413585	+	0.910466i	$0.635723\pi$
$488$	12.1857	+	24.9963i	0.551622	+	1.13153i
$489$	−2.25984	+	22.1321i	−0.102194	+	1.00085i
$490$	27.6725	+	8.77142i	1.25012	+	0.396252i
$491$	−6.60375	+	3.81268i	−0.298023	+	0.172064i	−0.641555	−	0.767077i	$-0.721710\pi$
$491$	−6.60375	+	3.81268i	−0.298023	+	0.172064i	0.343531	+	0.939141i	$0.388377\pi$
$492$	−26.7882	+	23.6969i	−1.20770	+	1.06834i
$493$	−1.20643	+	0.696531i	−0.0543347	+	0.0313702i
$494$	5.40856	−	4.32736i	0.243343	−	0.194697i
$495$	−5.06772	−	15.2877i	−0.227777	−	0.687132i
$496$	−0.212249	−	2.60817i	−0.00953025	−	0.117110i
$497$	−12.0239	+	22.4950i	−0.539345	+	1.00904i
$498$	−14.1914	+	0.702270i	−0.635932	+	0.0314695i
$499$	−18.0408	−	10.4159i	−0.807617	−	0.466278i	0.0385104	−	0.999258i	$-0.487739\pi$
$499$	−18.0408	−	10.4159i	−0.807617	−	0.466278i	−0.846128	+	0.532980i	$0.821072\pi$
$500$	−5.56923	+	6.04085i	−0.249063	+	0.270155i
$501$	−6.09645	−	0.622490i	−0.272369	−	0.0278108i
$502$	6.85293	−	17.5435i	0.305861	−	0.783003i
$503$	−13.9678			−0.622792			−0.311396	−	0.950280i	$-0.600796\pi$
$503$	−13.9678			−0.622792			−0.311396	+	0.950280i	$0.600796\pi$
$504$	−6.26483	−	21.5581i	−0.279058	−	0.960274i
$505$	−13.2721			−0.590600
$506$	−4.52591	+	11.5863i	−0.201201	+	0.515075i
$507$	8.99372	+	20.0401i	0.399425	+	0.890011i
$508$	7.70062	−	8.35274i	0.341660	−	0.370593i
$509$	−23.8817	−	13.7881i	−1.05854	−	0.611146i	−0.133509	−	0.991048i	$-0.542624\pi$
$509$	−23.8817	−	13.7881i	−1.05854	−	0.611146i	−0.925027	+	0.379902i	$0.875958\pi$
$510$	1.25331	−	2.44213i	0.0554974	−	0.108139i
$511$	21.1979	+	34.0892i	0.937740	+	1.50802i
$512$	−4.71691	+	22.1303i	−0.208460	+	0.978031i
$513$	−9.77418	−	44.0531i	−0.431541	−	1.94499i
$514$	2.56195	−	2.04980i	0.113003	−	0.0904129i
$515$	−35.6920	+	20.6068i	−1.57278	+	0.908045i
$516$	−21.1447	−	7.07653i	−0.930846	−	0.311527i
$517$	−12.6479	+	7.30229i	−0.556256	+	0.321154i
$518$	−25.6806	−	9.07484i	−1.12834	−	0.398726i
$519$	−13.9830	−	10.0960i	−0.613785	−	0.443166i
$520$	−4.20483	+	2.04986i	−0.184394	+	0.0898924i
$521$	25.2177	+	14.5594i	1.10481	+	0.637860i	0.937479	−	0.348041i	$-0.113153\pi$
$521$	25.2177	+	14.5594i	1.10481	+	0.637860i	0.167327	+	0.985901i	$0.446486\pi$
$522$	8.42260	−	12.9711i	0.368647	−	0.567730i
$523$	−2.77500	−	4.80644i	−0.121342	−	0.210171i	0.798955	−	0.601391i	$-0.205387\pi$
$523$	−2.77500	−	4.80644i	−0.121342	−	0.210171i	−0.920297	+	0.391220i	$0.872053\pi$
$524$	−14.8217	+	4.62388i	−0.647489	+	0.201995i
$525$	−13.6805	−	9.21203i	−0.597064	−	0.402046i
$526$	−6.05664	−	39.7515i	−0.264082	−	1.73325i
$527$	−0.216508	−	0.125001i	−0.00943125	−	0.00544513i
$528$	12.6813	+	0.260698i	0.551883	+	0.0113454i
$529$	0.0407669	+	0.0706104i	0.00177247	+	0.00307002i
$530$	4.56101	+	29.9353i	0.198118	+	1.30031i
$531$	−0.0654931	−	0.197572i	−0.00284216	−	0.00857390i
$532$	−30.0256	+	34.7863i	−1.30178	+	1.50818i
$533$	2.91151	−	5.04289i	0.126112	−	0.218432i
$534$	4.82681	+	2.47713i	0.208876	+	0.107196i
$535$	−26.3505			−1.13923
$536$	−2.24920	−	4.61373i	−0.0971505	−	0.199283i
$537$	−0.269233	+	0.120828i	−0.0116182	+	0.00521411i
$538$	17.3389	−	13.8728i	0.747535	−	0.598098i
$539$	11.4938	+	5.66817i	0.495072	+	0.244145i
$540$	−0.0872729	+	30.4744i	−0.00375563	+	1.31141i
$541$	15.4643	+	26.7849i	0.664862	+	1.15157i	0.979323	+	0.202304i	$0.0648430\pi$
$541$	15.4643	+	26.7849i	0.664862	+	1.15157i	−0.314461	+	0.949270i	$0.601824\pi$
$542$	−0.680580	+	0.103695i	−0.0292334	+	0.00445407i
$543$	−21.6533	−	15.6341i	−0.929231	−	0.670925i
$544$	1.48301	+	1.57288i	0.0635834	+	0.0674366i
$545$	7.60632	−	4.39151i	0.325819	−	0.188112i
$546$	2.08121	+	3.00476i	0.0890674	+	0.128592i
$547$	−8.81420	−	5.08888i	−0.376868	−	0.217585i	0.299587	−	0.954069i	$-0.403151\pi$
$547$	−8.81420	−	5.08888i	−0.376868	−	0.217585i	−0.676455	+	0.736484i	$0.736485\pi$
$548$	−8.28852	+	36.8576i	−0.354068	+	1.57448i
$549$	−27.9971	+	9.28074i	−1.19489	+	0.396092i
$550$	7.27606	−	5.82153i	0.310252	−	0.248231i
$551$	−31.6566			−1.34862
$552$	15.0787	−	18.0718i	0.641791	−	0.769187i
$553$	7.88075	−	14.7438i	0.335123	−	0.626968i
$554$	10.4049	−	1.58531i	0.442061	−	0.0673535i
$555$	29.9757	+	21.6431i	1.27240	+	0.918699i
$556$	−3.13560	+	13.9435i	−0.132979	+	0.591335i
$557$	−8.10369	+	14.0360i	−0.343364	+	0.594724i	−0.985055	−	0.172239i	$-0.944900\pi$
$557$	−8.10369	+	14.0360i	−0.343364	+	0.594724i	0.641691	+	0.766963i	$0.278233\pi$
$558$	2.77173	+	0.145119i	0.117337	+	0.00614338i
$559$	3.63031			0.153546
$560$	24.9379	−	18.4714i	1.05382	−	0.780561i
$561$	0.709367	−	0.982474i	0.0299495	−	0.0414801i
$562$	−23.3800	−	29.2216i	−0.986227	−	1.23264i
$563$	−7.19905			−0.303404			−0.151702	−	0.988426i	$-0.548475\pi$
$563$	−7.19905			−0.303404			−0.151702	+	0.988426i	$0.548475\pi$
$564$	27.0797	−	5.50750i	1.14026	−	0.231908i
$565$		−	23.7717i		−	1.00008i
$566$	15.1287	−	38.7294i	0.635908	−	1.62792i
$567$	23.5469	−	3.54200i	0.988875	−	0.148750i
$568$	11.9489	+	24.5105i	0.501365	+	1.02844i
$569$	−7.67327			−0.321680			−0.160840	−	0.986980i	$-0.551420\pi$
$569$	−7.67327			−0.321680			−0.160840	+	0.986980i	$0.551420\pi$
$570$	52.4133	−	33.8208i	2.19535	−	1.41660i
$571$			36.3426i			1.52089i	0.649401	+	0.760446i	$0.275020\pi$
$571$			36.3426i			1.52089i	−0.649401	+	0.760446i	$0.724980\pi$
$572$	−1.97141	+	0.615014i	−0.0824287	+	0.0257150i
$573$	20.3175	+	14.6697i	0.848776	+	0.612835i
$574$	−12.8711	+	36.4236i	−0.537230	+	1.52029i
$575$		−	17.2910i		−	0.721085i
$576$	−22.5979	−	8.08303i	−0.941579	−	0.336793i
$577$	33.2642	+	19.2051i	1.38481	+	0.799520i	0.992724	−	0.120410i	$-0.0384208\pi$
$577$	33.2642	+	19.2051i	1.38481	+	0.799520i	0.392084	+	0.919929i	$0.371754\pi$
$578$	−23.5632	+	3.59014i	−0.980099	+	0.149330i
$579$	20.1488	−	27.9060i	0.837354	−	1.15974i
$580$	20.8583	+	4.69059i	0.866092	+	0.194766i
$581$	−13.0329	+	8.10434i	−0.540696	+	0.336225i
$582$	−0.222476	−	4.49578i	−0.00922194	−	0.186356i
$583$			13.3678i			0.553640i
$584$	42.8091	+	3.00154i	1.77145	+	0.124205i
$585$	−1.56119	−	4.70962i	−0.0645473	−	0.194719i
$586$	−3.37188	−	22.1307i	−0.139291	−	0.914210i
$587$	1.74472	−	3.02195i	0.0720124	−	0.124729i	−0.827771	−	0.561066i	$-0.810391\pi$
$587$	1.74472	−	3.02195i	0.0720124	−	0.124729i	0.899783	+	0.436337i	$0.143725\pi$
$588$	−17.2198	−	17.0727i	−0.710134	−	0.704066i
$589$	−2.84059	−	4.92005i	−0.117044	−	0.202727i
$590$	0.224668	−	0.179756i	0.00924945	−	0.00740043i
$591$	−18.9684	+	26.2712i	−0.780254	+	1.08065i
$592$	−23.9525	+	16.5561i	−0.984442	+	0.680450i
$593$	−8.09945	+	4.67622i	−0.332604	+	0.192029i	−0.656997	−	0.753893i	$-0.728174\pi$
$593$	−8.09945	+	4.67622i	−0.332604	+	0.192029i	0.324392	+	0.945923i	$0.394840\pi$
$594$	−2.06449	+	13.2941i	−0.0847069	+	0.545462i
$595$	−0.0970019	−	2.96331i	−0.00397669	−	0.121484i
$596$	18.7404	−	5.84637i	0.767635	−	0.239477i
$597$	−2.04446	−	4.55552i	−0.0836741	−	0.186445i
$598$	−1.39428	+	3.56935i	−0.0570163	+	0.145962i
$599$			6.99197i			0.285684i	0.989745	+	0.142842i	$0.0456241\pi$
$599$			6.99197i			0.285684i	−0.989745	+	0.142842i	$0.954376\pi$
$600$	−16.5515	+	6.07640i	−0.675713	+	0.248068i
$601$	5.17769	+	2.98934i	0.211202	+	0.121938i	0.601870	−	0.798594i	$-0.294423\pi$
$601$	5.17769	+	2.98934i	0.211202	+	0.121938i	−0.390668	+	0.920532i	$0.627756\pi$
$602$	−23.6778	+	4.40466i	−0.965036	+	0.179520i
$603$	5.16760	−	1.71301i	0.210441	−	0.0697590i
$604$	−7.32239	−	1.64666i	−0.297944	−	0.0670015i
$605$	−19.4231	+	11.2139i	−0.789661	+	0.455911i
$606$	9.86333	+	5.06188i	0.400670	+	0.205625i
$607$	13.1158	−	22.7173i	0.532356	−	0.922067i	−0.466931	−	0.884294i	$-0.654640\pi$
$607$	13.1158	−	22.7173i	0.532356	−	0.922067i	0.999286	−	0.0377732i	$-0.0120264\pi$
$608$	11.3142	+	47.8046i	0.458850	+	1.93873i
$609$	1.15225	−	16.6652i	0.0466917	−	0.675306i
$610$	−25.4724	−	31.8368i	−1.03135	−	1.28903i
$611$	−3.89640	+	2.24959i	−0.157631	+	0.0910086i
$612$	−1.86282	+	1.33690i	−0.0753002	+	0.0540410i
$613$	−0.414372	+	0.717713i	−0.0167363	+	0.0289882i	−0.874272	−	0.485436i	$-0.838661\pi$
$613$	−0.414372	+	0.717713i	−0.0167363	+	0.0289882i	0.857536	+	0.514424i	$0.171994\pi$
$614$	1.17672	−	3.01240i	0.0474886	−	0.121571i
$615$	30.6970	−	42.5154i	1.23782	−	1.71439i
$616$	12.1118	−	6.40319i	0.488000	−	0.257992i
$617$	3.69129	+	6.39349i	0.148606	+	0.257392i	0.930712	−	0.365752i	$-0.119188\pi$
$617$	3.69129	+	6.39349i	0.148606	+	0.257392i	−0.782107	+	0.623144i	$0.785855\pi$
$618$	34.3843	−	1.70153i	1.38314	−	0.0684455i
$619$	10.0811	+	17.4609i	0.405192	+	0.701813i	0.994344	−	0.106209i	$-0.0338714\pi$
$619$	10.0811	+	17.4609i	0.405192	+	0.701813i	−0.589152	+	0.808022i	$0.700538\pi$
$620$	1.14263	+	3.66266i	0.0458891	+	0.147096i
$621$	16.8686	+	18.4025i	0.676912	+	0.738468i
$622$	−2.88244	+	7.37904i	−0.115575	+	0.295872i
$623$	5.85689	−	0.191722i	0.234651	−	0.00768116i
$624$	3.90668	+	0.0803122i	0.156392	+	0.00321506i
$625$	15.0210	−	26.0172i	0.600842	−	1.04069i
$626$	11.6132	+	4.53640i	0.464155	+	0.181311i
$627$	25.1235	−	11.2751i	1.00334	−	0.450283i
$628$	8.87885	−	9.63074i	0.354305	−	0.384309i
$629$			2.78181i			0.110918i
$630$	15.8967	+	28.8232i	0.633339	+	1.14834i
$631$		−	8.38135i		−	0.333656i	−0.985986	−	0.166828i	$-0.946647\pi$
$631$		−	8.38135i		−	0.333656i	0.985986	−	0.166828i	$-0.0533525\pi$
$632$	−7.83160	−	16.0648i	−0.311524	−	0.639022i
$633$	3.40391	−	33.3367i	0.135293	−	1.32501i
$634$	−1.64993	+	4.22382i	−0.0655272	+	0.167749i
$635$	−8.32864	+	14.4256i	−0.330512	+	0.572464i
$636$	8.02752	−	23.9863i	0.318312	−	0.951119i
$637$	3.54084	+	1.74617i	0.140293	+	0.0691858i
$638$	8.79120	+	3.43407i	0.348047	+	0.135956i
$639$	−27.4530	+	9.10038i	−1.08602	+	0.360005i
$640$	−0.371552	−	33.1744i	−0.0146869	−	1.31133i
$641$	6.70139	+	11.6072i	0.264689	+	0.458455i	0.967482	−	0.252939i	$-0.0813973\pi$
$641$	6.70139	+	11.6072i	0.264689	+	0.458455i	−0.702793	+	0.711394i	$0.748064\pi$
$642$	19.5827	+	10.0499i	0.772869	+	0.396638i
$643$	−7.76497	−	13.4493i	−0.306220	−	0.530389i	0.671312	−	0.741175i	$-0.265731\pi$
$643$	−7.76497	−	13.4493i	−0.306220	−	0.530389i	−0.977532	+	0.210786i	$0.932398\pi$
$644$	4.76316	−	24.9719i	0.187695	−	0.984030i
$645$	32.5236	+	3.32089i	1.28062	+	0.130760i
$646$	4.37162	+	1.70767i	0.171999	+	0.0671873i
$647$	21.2347	−	36.7795i	0.834821	−	1.44595i	−0.0593553	−	0.998237i	$-0.518904\pi$
$647$	21.2347	−	36.7795i	0.834821	−	1.44595i	0.894176	−	0.447715i	$-0.147762\pi$
$648$	11.6876	−	22.6142i	0.459132	−	0.888368i
$649$	0.110004	−	0.0635110i	0.00431804	−	0.00249302i
$650$	2.24150	−	1.79342i	0.0879191	−	0.0703435i
$651$	2.69348	−	1.31630i	0.105566	−	0.0515900i
$652$	25.0629	+	5.63614i	0.981541	+	0.220728i
$653$	−22.8981	+	39.6607i	−0.896072	+	1.55204i	−0.0635988	+	0.997976i	$0.520258\pi$
$653$	−22.8981	+	39.6607i	−0.896072	+	1.55204i	−0.832473	+	0.554066i	$0.813076\pi$
$654$	−7.32762	+	0.362612i	−0.286533	+	0.0141792i
$655$	19.7147	−	11.3823i	0.770319	−	0.444744i
$656$	23.4819	+	33.9725i	0.916816	+	1.32640i
$657$	−9.19937	+	44.5780i	−0.358902	+	1.73915i
$658$	22.6839	−	19.3999i	0.884310	−	0.756286i
$659$	−37.8619	−	21.8596i	−1.47489	−	0.851527i	−0.475289	−	0.879830i	$-0.657657\pi$
$659$	−37.8619	−	21.8596i	−1.47489	−	0.851527i	−0.999599	+	0.0283024i	$0.990990\pi$
$660$	−18.2243	+	3.70648i	−0.709378	+	0.144274i
$661$		−	35.1632i		−	1.36769i	−0.729628	−	0.683845i	$-0.760307\pi$
$661$		−	35.1632i		−	1.36769i	0.729628	−	0.683845i	$-0.239693\pi$
$662$	−20.5098	−	8.01165i	−0.797135	−	0.311382i
$663$	0.218532	−	0.302667i	0.00848707	−	0.0117546i
$664$	−1.14754	+	16.3667i	−0.0445333	+	0.635151i
$665$	31.7609	−	59.4201i	1.23163	−	2.30421i
$666$	−14.0223	−	27.5169i	−0.543354	−	1.06626i
$667$	15.1670	−	8.75664i	0.587267	−	0.339059i
$668$	−1.55251	+	6.90377i	−0.0600686	+	0.267115i
$669$	13.9879	+	31.1683i	0.540804	+	1.20504i
$670$	4.70161	+	5.87632i	0.181639	+	0.227022i
$671$	−8.99986	−	15.5882i	−0.347436	−	0.601776i
$672$	−25.5778	+	4.21616i	−0.986685	+	0.162642i
$673$	−14.6335	+	25.3459i	−0.564078	+	0.977012i	0.433057	+	0.901367i	$0.357435\pi$
$673$	−14.6335	+	25.3459i	−0.564078	+	0.977012i	−0.997135	+	0.0756454i	$0.975898\pi$
$674$	−5.30782	+	0.808712i	−0.204449	+	0.0311504i
$675$	−4.05078	−	18.2572i	−0.155915	−	0.702721i
$676$	24.2129	−	7.55363i	0.931266	−	0.290524i
$677$			7.19408i			0.276491i	0.990398	+	0.138246i	$0.0441463\pi$
$677$			7.19408i			0.276491i	−0.990398	+	0.138246i	$0.955854\pi$
$678$	−9.06636	+	17.6663i	−0.348191	+	0.678468i
$679$	−2.56742	−	4.12878i	−0.0985287	−	0.158448i
$680$	−2.62739	−	1.77291i	−0.100756	−	0.0679880i
$681$	2.23598	+	0.228309i	0.0856830	+	0.00874883i
$682$	0.255125	+	1.67446i	0.00976926	+	0.0641186i
$683$	−34.3959	−	19.8585i	−1.31612	−	0.759863i	−0.333020	−	0.942920i	$-0.608068\pi$
$683$	−34.3959	−	19.8585i	−1.31612	−	0.759863i	−0.983102	+	0.183056i	$0.941401\pi$
$684$	−51.8506	+	5.14431i	−1.98256	+	0.196698i
$685$		−	55.3905i		−	2.11636i
$686$	−25.2129	−	7.09287i	−0.962634	−	0.270807i
$687$	20.6019	−	9.24586i	0.786012	−	0.352752i
$688$	−11.0225	+	23.2682i	−0.420228	+	0.887091i
$689$			4.11818i			0.156890i
$690$	−15.7563	+	30.7020i	−0.599834	+	1.16881i
$691$	7.77944			0.295944			0.147972	−	0.988992i	$-0.452725\pi$
$691$	7.77944			0.295944			0.147972	+	0.988992i	$0.452725\pi$
$692$	−13.4988	+	14.6420i	−0.513148	+	0.556604i
$693$	5.02114	+	13.6363i	0.190737	+	0.517999i
$694$	−21.8288	−	8.52690i	−0.828611	−	0.323677i
$695$		−	20.9546i		−	0.794852i
$696$	−13.7121	−	11.4411i	−0.519757	−	0.433672i
$697$	3.94553			0.149447
$698$	−28.6372	+	22.9124i	−1.08393	+	0.867248i
$699$	−28.1655	−	2.87590i	−1.06532	−	0.108776i
$700$	−12.4437	+	14.4167i	−0.470328	+	0.544901i
$701$	−17.1899			−0.649253			−0.324626	−	0.945842i	$-0.605239\pi$
$701$	−17.1899			−0.649253			−0.324626	+	0.945842i	$0.605239\pi$
$702$	−0.635998	+	4.09544i	−0.0240042	+	0.154573i
$703$	−31.6077	+	54.7462i	−1.19211	+	2.06479i
$704$	2.04378	−	14.5029i	0.0770278	−	0.546599i
$705$	−36.9653	+	16.5895i	−1.39219	+	0.624798i
$706$	−0.0454987	−	0.298622i	−0.00171237	−	0.0112388i
$707$	11.9683	−	0.391773i	0.450112	−	0.0147341i
$708$	−0.235523	+	0.0479010i	−0.00885149	+	0.00180023i
$709$	−24.9909			−0.938552			−0.469276	−	0.883051i	$-0.655485\pi$
$709$	−24.9909			−0.938552			−0.469276	+	0.883051i	$0.655485\pi$
$710$	−24.9774	−	31.2181i	−0.937385	−	1.17159i
$711$	17.9934	−	5.96461i	0.674803	−	0.223690i
$712$	3.50411	−	5.19296i	0.131322	−	0.194614i
$713$	2.72190	+	1.57149i	0.101936	+	0.0588527i
$714$	−1.05810	+	2.23921i	−0.0395982	+	0.0838005i
$715$	2.62222	−	1.51394i	0.0980656	−	0.0566182i
$716$	0.101481	+	0.325293i	0.00379252	+	0.0121568i
$717$	−1.43895	+	14.0926i	−0.0537387	+	0.526298i
$718$	−5.82106	−	38.2053i	−0.217240	−	1.42581i
$719$	−14.2772	−	24.7289i	−0.532451	−	0.922233i	−0.999282	−	0.0378861i	$-0.987938\pi$
$719$	−14.2772	−	24.7289i	−0.532451	−	0.922233i	0.466831	−	0.884347i	$-0.345396\pi$
$720$	34.9261	+	4.29321i	1.30162	+	0.159998i
$721$	31.5774	−	19.6360i	1.17600	−	0.731282i
$722$	49.8437	+	62.2973i	1.85499	+	2.31847i
$723$	1.48489	−	14.5425i	0.0552235	−	0.540840i
$724$	−20.9035	+	22.6737i	−0.776873	+	0.842662i
$725$	−13.1197			−0.487253
$726$	18.7114	−	0.925947i	0.694447	−	0.0343651i
$727$	5.98570	−	10.3675i	0.221997	−	0.384511i	−0.733417	−	0.679779i	$-0.762076\pi$
$727$	5.98570	−	10.3675i	0.221997	−	0.384511i	0.955414	+	0.295268i	$0.0954090\pi$
$728$	3.73124	−	1.97260i	0.138289	−	0.0731096i
$729$	22.1224	+	15.4791i	0.819347	+	0.573298i
$730$	−62.2032	+	9.47743i	−2.30224	+	0.350775i
$731$	1.22990	+	2.13025i	0.0454895	+	0.0787901i
$732$	6.78784	+	33.3749i	0.250886	+	1.23357i
$733$	13.5239	+	7.80801i	0.499515	+	0.288395i	0.728513	−	0.685032i	$-0.240212\pi$
$733$	13.5239	+	7.80801i	0.499515	+	0.288395i	−0.228998	+	0.973427i	$0.573545\pi$
$734$	−39.3480	+	5.99516i	−1.45236	+	0.221285i
$735$	30.1247	+	18.8828i	1.11117	+	0.696503i
$736$	−18.6441	−	19.7739i	−0.687230	−	0.728876i
$737$	1.66116	+	2.87722i	0.0611897	+	0.105984i
$738$	−39.0280	+	19.8882i	−1.43664	+	0.732096i
$739$	14.6499	+	8.45814i	0.538906	+	0.311138i	0.744635	−	0.667471i	$-0.232623\pi$
$739$	14.6499	+	8.45814i	0.538906	+	0.311138i	−0.205729	+	0.978609i	$0.565957\pi$
$740$	28.9378	−	31.3884i	1.06377	−	1.15386i
$741$	7.73969	−	3.47347i	0.284325	−	0.127601i
$742$	−4.99659	−	26.8598i	−0.183430	−	0.986055i
$743$	−11.3689	+	6.56386i	−0.417086	+	0.240805i	−0.693830	−	0.720139i	$-0.744078\pi$
$743$	−11.3689	+	6.56386i	−0.417086	+	0.240805i	0.276744	+	0.960944i	$0.410745\pi$
$744$	0.547753	−	3.15775i	0.0200816	−	0.115769i
$745$	−24.9271	+	14.3916i	−0.913257	+	0.527269i
$746$	6.02994	+	7.53654i	0.220772	+	0.275932i
$747$	−17.0430	−	3.51709i	−0.623571	−	0.128683i
$748$	−1.02877	−	0.948455i	−0.0376157	−	0.0346789i
$749$	23.7619	−	0.777829i	0.868240	−	0.0284213i
$750$	−8.45541	+	5.45603i	−0.308748	+	0.199226i
$751$	−16.4284	−	9.48495i	−0.599481	−	0.346111i	0.169356	−	0.985555i	$-0.445831\pi$
$751$	−16.4284	−	9.48495i	−0.599481	−	0.346111i	−0.768837	+	0.639444i	$0.779164\pi$
$752$	−2.58816	−	31.8039i	−0.0943803	−	1.15977i
$753$	13.5033	−	18.7020i	0.492086	−	0.681539i
$754$	2.70827	+	1.05792i	0.0986294	+	0.0385272i
$755$	11.0043			0.400486
$756$	−0.820861	−	27.4832i	−0.0298544	−	0.999554i
$757$	30.3460			1.10294			0.551471	−	0.834194i	$-0.314067\pi$
$757$	30.3460			1.10294			0.551471	+	0.834194i	$0.314067\pi$
$758$	32.4227	+	12.6652i	1.17765	+	0.460019i
$759$	−8.91803	+	12.3515i	−0.323704	+	0.448330i
$760$	−31.5628	−	64.7440i	−1.14490	−	2.34851i
$761$	21.2843	+	12.2885i	0.771556	+	0.445458i	0.833429	−	0.552626i	$-0.186374\pi$
$761$	21.2843	+	12.2885i	0.771556	+	0.445458i	−0.0618737	+	0.998084i	$0.519708\pi$
$762$	11.6914	−	7.54411i	0.423534	−	0.273294i
$763$	−6.72945	+	4.18462i	−0.243622	+	0.151493i
$764$	19.6140	−	21.2750i	0.709610	−	0.769702i
$765$	2.23468	−	2.51166i	0.0807948	−	0.0908091i
$766$	−27.4892	−	34.3575i	−0.993225	−	1.24139i
$767$	0.0338885	−	0.0195656i	0.00122364	−	0.000706472i
$768$	−12.3764	+	24.7957i	−0.446593	+	0.894737i
$769$	11.7047	−	6.75773i	0.422083	−	0.243690i	−0.273885	−	0.961762i	$-0.588309\pi$
$769$	11.7047	−	6.75773i	0.422083	−	0.243690i	0.695968	+	0.718073i	$0.254975\pi$
$770$	−15.2660	+	13.0559i	−0.550147	+	0.470501i
$771$	3.66617	−	1.64533i	0.132034	−	0.0592551i
$772$	−29.2211	−	26.9398i	−1.05169	−	0.969583i
$773$	−41.3688	−	23.8843i	−1.48793	−	0.859059i	−0.488028	−	0.872828i	$-0.662284\pi$
$773$	−41.3688	−	23.8843i	−1.48793	−	0.859059i	−0.999905	+	0.0137693i	$0.995617\pi$
$774$	−22.9038	−	14.8722i	−0.823259	−	0.534571i
$775$	−1.17725	−	2.03905i	−0.0422879	−	0.0732448i
$776$	−5.18490	−	0.363537i	−0.186127	−	0.0130502i
$777$	−27.6698	−	18.6321i	−0.992649	−	0.668422i
$778$	20.1105	−	3.06408i	0.720996	−	0.109853i
$779$	77.6480	+	44.8301i	2.78203	+	1.60620i
$780$	−5.61427	+	1.14184i	−0.201023	+	0.0408844i
$781$	−8.82496	−	15.2853i	−0.315782	−	0.546950i
$782$	−2.56684	+	0.391090i	−0.0917900	+	0.0139853i
$783$	13.9631	−	12.7991i	0.498999	−	0.457404i
$784$	−21.9428	+	17.3930i	−0.783670	+	0.621177i
$785$	−9.60296	+	16.6328i	−0.342744	+	0.593651i
$786$	−18.9924	+	0.939850i	−0.677436	+	0.0335233i
$787$	−7.94020			−0.283038			−0.141519	−	0.989936i	$-0.545199\pi$
$787$	−7.94020			−0.283038			−0.141519	+	0.989936i	$0.545199\pi$
$788$	27.5092	+	25.3615i	0.979976	+	0.903467i
$789$	5.00248	−	48.9926i	0.178093	−	1.74418i
$790$	16.3708	+	20.4611i	0.582446	+	0.727972i
$791$	0.701706	+	21.4364i	0.0249498	+	0.762190i
$792$	14.9572	+	4.19608i	0.531481	+	0.149101i
$793$	−2.77255	−	4.80220i	−0.0984561	−	0.170531i
$794$	−0.739675	−	4.85471i	−0.0262501	−	0.172287i
$795$	−3.76717	+	36.8944i	−0.133608	+	1.30851i
$796$	−5.50410	+	1.71710i	−0.195088	+	0.0608609i
$797$	22.6742	−	13.0910i	0.803162	−	0.463706i	−0.0414133	−	0.999142i	$-0.513186\pi$
$797$	22.6742	−	13.0910i	0.803162	−	0.463706i	0.844576	+	0.535436i	$0.179853\pi$
$798$	−46.2659	+	32.0454i	−1.63779	+	1.13440i
$799$	−2.64009	−	1.52426i	−0.0933998	−	0.0539244i
$800$	4.68901	+	19.8120i	0.165781	+	0.700459i
$801$	4.96422	+	4.41677i	0.175402	+	0.156059i
$802$	30.0250	+	37.5269i	1.06022	+	1.32512i
$803$	−27.7774			−0.980242
$804$	−1.25287	−	6.16022i	−0.0441855	−	0.217254i
$805$	1.21949	+	37.2541i	0.0429813	+	1.31303i
$806$	0.0785955	+	0.515845i	0.00276841	+	0.0181699i
$807$	24.8122	−	11.1354i	0.873429	−	0.391983i
$808$	7.16046	−	10.6115i	0.251904	−	0.373313i
$809$	−20.3769	+	35.2939i	−0.716414	+	1.24087i	0.245997	+	0.969271i	$0.420885\pi$
$809$	−20.3769	+	35.2939i	−0.716414	+	1.24087i	−0.962412	+	0.271595i	$0.912449\pi$
$810$	−9.44422	+	36.1089i	−0.331836	+	1.26874i
$811$	−3.31693			−0.116473			−0.0582367	−	0.998303i	$-0.518548\pi$
$811$	−3.31693			−0.116473			−0.0582367	+	0.998303i	$0.518548\pi$
$812$	−18.9476	−	3.61408i	−0.664931	−	0.126830i
$813$	−0.838795	−	0.0856468i	−0.0294178	−	0.00300377i
$814$	14.7164	−	11.7745i	0.515810	−	0.412696i
$815$	−37.6652			−1.31935
$816$	1.27640	+	2.31963i	0.0446830	+	0.0812033i
$817$			55.8978i			1.95562i
$818$	18.8241	+	7.35319i	0.658170	+	0.257098i
$819$	1.54684	+	4.20087i	0.0540510	+	0.146790i
$820$	−44.5190	−	41.0433i	−1.55467	−	1.43329i
$821$	40.0076			1.39627			0.698137	−	0.715964i	$-0.254012\pi$
$821$	40.0076			1.39627			0.698137	+	0.715964i	$0.254012\pi$
$822$	−21.1255	+	41.1641i	−0.736837	+	1.43576i
$823$		−	7.00103i		−	0.244041i	−0.992528	−	0.122020i	$-0.961063\pi$
$823$		−	7.00103i		−	0.244041i	0.992528	−	0.122020i	$-0.0389373\pi$
$824$	2.78038	−	39.6548i	0.0968591	−	1.38144i
$825$	10.4121	−	4.67281i	0.362503	−	0.162686i
$826$	−0.197291	+	0.168729i	−0.00686463	+	0.00587082i
$827$			25.4507i			0.885008i	0.896766	+	0.442504i	$0.145910\pi$
$827$			25.4507i			0.885008i	−0.896766	+	0.442504i	$0.854090\pi$
$828$	23.4191	−	16.8072i	0.813868	−	0.584092i
$829$	5.05603	+	2.91910i	0.175603	+	0.101385i	0.585225	−	0.810871i	$-0.301006\pi$
$829$	5.05603	+	2.91910i	0.175603	+	0.101385i	−0.409622	+	0.912255i	$0.634339\pi$
$830$	−3.62339	−	23.7814i	−0.125770	−	0.825465i
$831$	12.8237	+	1.30939i	0.444850	+	0.0454223i
$832$	0.629618	−	4.46785i	0.0218281	−	0.154895i
$833$	0.174945	+	2.66933i	0.00606148	+	0.0924868i
$834$	−7.99193	+	15.5727i	−0.276738	+	0.539237i
$835$		−	10.3751i		−	0.359047i
$836$	−9.46969	−	30.3548i	−0.327516	−	1.04984i
$837$	3.24215	+	1.02164i	0.112065	+	0.0353131i
$838$	−9.11809	+	1.38925i	−0.314979	+	0.0479910i
$839$	−11.3989	+	19.7435i	−0.393534	+	0.681621i	−0.992913	−	0.118845i	$-0.962081\pi$
$839$	−11.3989	+	19.7435i	−0.393534	+	0.681621i	0.599379	+	0.800465i	$0.295414\pi$
$840$	35.2323	−	14.2592i	1.21563	−	0.491988i
$841$	7.85583	+	13.6067i	0.270891	+	0.469196i
$842$	6.20657	+	7.75731i	0.213893	+	0.267334i
$843$	−18.7666	−	41.8163i	−0.646356	−	1.44023i
$844$	−37.7512	−	8.48947i	−1.29945	−	0.292220i
$845$	−32.2063	+	18.5943i	−1.10793	+	0.639663i
$846$	33.7984	+	1.76958i	1.16201	+	0.0608393i
$847$	17.1840	−	10.6856i	0.590448	−	0.367162i
$848$	−26.3951	−	12.5038i	−0.906412	−	0.429381i
$849$	29.8102	−	41.2871i	1.02308	−	1.41697i
$850$	1.81176	+	0.707720i	0.0621428	+	0.0242746i
$851$		−	34.9724i		−	1.19884i
$852$	6.65592	+	32.7263i	0.228028	+	1.12118i
$853$	14.0823	+	8.13042i	0.482169	+	0.278380i	0.721320	−	0.692602i	$-0.243536\pi$
$853$	14.0823	+	8.13042i	0.482169	+	0.278380i	−0.239151	+	0.970982i	$0.576869\pi$
$854$	23.9098	+	27.9572i	0.818176	+	0.956677i
$855$	72.5165	−	24.0385i	2.48001	−	0.822098i
$856$	14.2164	−	21.0683i	0.485908	−	0.720098i
$857$	6.51196	−	3.75968i	0.222444	−	0.128428i	−0.384637	−	0.923068i	$-0.625673\pi$
$857$	6.51196	−	3.75968i	0.222444	−	0.128428i	0.607082	+	0.794639i	$0.292340\pi$
$858$	−2.52615	+	0.125008i	−0.0862412	+	0.00426770i
$859$	−14.1859	+	24.5706i	−0.484016	+	0.838340i	−0.999831	−	0.0183599i	$-0.994156\pi$
$859$	−14.1859	+	24.5706i	−0.484016	+	0.838340i	0.515816	+	0.856699i	$0.327489\pi$
$860$	8.28242	−	36.8305i	0.282428	−	1.25591i
$861$	−26.4264	+	39.2449i	−0.900609	+	1.33746i
$862$	21.4218	−	17.1395i	0.729630	−	0.583773i
$863$	3.94874	−	2.27980i	0.134417	−	0.0776054i	−0.431284	−	0.902216i	$-0.641939\pi$
$863$	3.94874	−	2.27980i	0.134417	−	0.0776054i	0.565700	+	0.824611i	$0.308606\pi$
$864$	−24.3184	−	16.5111i	−0.827328	−	0.561719i
$865$	14.5997	−	25.2874i	0.496405	−	0.859799i
$866$	−27.0355	−	10.5608i	−0.918704	−	0.358870i
$867$	−29.0409	−	2.96528i	−0.986281	−	0.100706i
$868$	−1.13850	−	3.26912i	−0.0386430	−	0.110961i
$869$	5.78409	+	10.0183i	0.196212	+	0.339849i
$870$	23.2954	+	11.9552i	0.789787	+	0.405321i
$871$	0.511748	+	0.886373i	0.0173399	+	0.0300336i
$872$	−0.592525	+	8.45082i	−0.0200654	+	0.286181i
$873$	1.11420	−	5.39915i	0.0377099	−	0.182734i
$874$	−54.9591	−	21.4685i	−1.85902	−	0.726181i
$875$	−5.12372	+	9.58576i	−0.173213	+	0.324058i
$876$	49.8417	+	16.6806i	1.68400	+	0.563585i
$877$	13.8064	−	23.9134i	0.466210	−	0.807499i	−0.533046	−	0.846087i	$-0.678953\pi$
$877$	13.8064	−	23.9134i	0.466210	−	0.807499i	0.999255	+	0.0385877i	$0.0122859\pi$
$878$	3.59883	−	9.21299i	0.121455	−	0.310923i
$879$	2.78501	−	27.2754i	0.0939361	−	0.919977i
$880$	1.74179	+	21.4036i	0.0587158	+	0.721516i
$881$		−	10.3088i		−	0.347313i	−0.984806	−	0.173657i	$-0.944442\pi$
$881$		−	10.3088i		−	0.347313i	0.984806	−	0.173657i	$-0.0555583\pi$
$882$	−15.1858	−	25.5224i	−0.511333	−	0.859383i
$883$			33.0806i			1.11325i	0.830764	+	0.556625i	$0.187904\pi$
$883$			33.0806i			1.11325i	−0.830764	+	0.556625i	$0.812096\pi$
$884$	−0.316930	−	0.292187i	−0.0106595	−	0.00982730i
$885$	0.321502	−	0.144286i	0.0108072	−	0.00485012i
$886$	−4.26170	−	1.66473i	−0.143175	−	0.0559277i
$887$	−3.58902	+	6.21637i	−0.120508	+	0.208725i	−0.919968	−	0.391994i	$-0.871786\pi$
$887$	−3.58902	+	6.21637i	−0.120508	+	0.208725i	0.799460	+	0.600719i	$0.205119\pi$
$888$	−33.4768	+	12.2900i	−1.12341	+	0.412425i
$889$	7.08462	−	13.2543i	0.237610	−	0.444535i
$890$	−3.34206	+	8.55566i	−0.112026	+	0.286787i
$891$	−6.52278	+	15.1309i	−0.218521	+	0.506904i
$892$	37.6583	−	11.7481i	1.26089	−	0.393357i
$893$	−34.6381	−	59.9949i	−1.15912	−	2.00765i
$894$	24.0137	−	1.18833i	0.803140	−	0.0397438i
$895$	−0.249809	−	0.432682i	−0.00835019	−	0.0144630i
$896$	1.31431	+	29.9044i	0.0439081	+	0.999036i
$897$	−2.74734	+	3.80507i	−0.0917310	+	0.127047i
$898$	7.75777	−	19.8599i	0.258880	−	0.662732i
$899$	1.19238	−	2.06526i	0.0397681	−	0.0688803i
$900$	−21.4888	+	2.13199i	−0.716293	+	0.0710664i
$901$	−2.41653	+	1.39518i	−0.0805062	+	0.0464803i
$902$	−16.7001	−	20.8727i	−0.556053	−	0.694985i
$903$	−29.4265	−	2.03460i	−0.979254	−	0.0677071i
$904$	19.0064	+	12.8251i	0.632143	+	0.426558i
$905$	22.6083	−	39.1587i	0.751525	−	1.30168i
$906$	−8.17796	−	4.19695i	−0.271695	−	0.139434i
$907$	15.3581	−	8.86699i	0.509956	−	0.294423i	−0.222859	−	0.974851i	$-0.571539\pi$
$907$	15.3581	−	8.86699i	0.509956	−	0.294423i	0.732816	+	0.680427i	$0.238206\pi$
$908$	0.569412	−	2.53208i	0.0188966	−	0.0840300i
$909$	10.1441	+	9.02545i	0.336459	+	0.299355i
$910$	−4.70292	+	4.02207i	−0.155900	+	0.133330i
$911$	29.3352	+	16.9367i	0.971918	+	0.561137i	0.899820	−	0.436261i	$-0.143697\pi$
$911$	29.3352	+	16.9367i	0.971918	+	0.561137i	0.0720973	+	0.997398i	$0.477031\pi$
$912$	−1.23661	+	60.1532i	−0.0409482	+	1.99187i
$913$		−	10.6198i		−	0.351464i
$914$	13.8448	−	35.4427i	0.457946	−	1.17234i
$915$	−20.4461	−	45.5587i	−0.675928	−	1.50612i
$916$	−7.76540	−	24.8917i	−0.256576	−	0.822446i
$917$	−17.4420	+	10.8461i	−0.575985	+	0.358169i
$918$	−2.61866	+	1.01428i	−0.0864285	+	0.0334762i
$919$	45.7550	−	26.4167i	1.50932	−	0.871406i	0.509378	−	0.860543i	$-0.329876\pi$
$919$	45.7550	−	26.4167i	1.50932	−	0.871406i	0.999941	−	0.0108626i	$-0.00345774\pi$
$920$	33.0310	+	22.2887i	1.08900	+	0.734836i
$921$	2.31865	−	3.21134i	0.0764022	−	0.105817i
$922$	−17.0855	+	13.6700i	−0.562680	+	0.450197i
$923$	−2.71867	−	4.70887i	−0.0894861	−	0.154994i
$924$	16.3245	−	3.88031i	0.537037	−	0.127653i
$925$	−13.0994	+	22.6888i	−0.430705	+	0.746004i
$926$	1.27442	+	8.36443i	0.0418802	+	0.274872i
$927$	41.2934	+	8.52153i	1.35625	+	0.279884i
$928$	−15.0036	+	14.1463i	−0.492517	+	0.464376i
$929$		−	41.4000i		−	1.35829i	−0.734005	−	0.679144i	$-0.762351\pi$
$929$		−	41.4000i		−	1.35829i	0.734005	−	0.679144i	$-0.237649\pi$
$930$	0.232251	+	4.69331i	0.00761581	+	0.153900i
$931$	−26.8867	+	54.5202i	−0.881176	+	1.78683i
$932$	−7.17260	+	31.8953i	−0.234946	+	1.04477i
$933$	−5.67967	+	7.86634i	−0.185944	+	0.257533i
$934$	44.7626	−	6.82015i	1.46468	−	0.223162i
$935$	1.77675	+	1.02581i	0.0581059	+	0.0335474i
$936$	4.60781	+	1.29267i	0.150611	+	0.0422523i
$937$			34.0441i			1.11217i	0.831125	+	0.556086i	$0.187697\pi$
$937$			34.0441i			1.11217i	−0.831125	+	0.556086i	$0.812303\pi$
$938$	−4.41319	−	5.16025i	−0.144096	−	0.168488i
$939$	12.3801	+	8.93869i	0.404009	+	0.291703i
$940$	13.9332	+	44.6624i	0.454451	+	1.45673i
$941$			45.4739i			1.48241i	0.671281	+	0.741203i	$0.265744\pi$
$941$			45.4739i			1.48241i	−0.671281	+	0.741203i	$0.734256\pi$
$942$	13.4802	−	8.69839i	0.439209	−	0.283409i
$943$	−49.6024			−1.61528
$944$	0.0225102	+	0.276612i	0.000732645	+	0.00900294i
$945$	10.0152	+	39.0502i	0.325794	+	1.27030i
$946$	6.06372	−	15.5231i	0.197149	−	0.504699i
$947$		−	37.1017i		−	1.20564i	−0.797876	−	0.602822i	$-0.794043\pi$
$947$		−	37.1017i		−	1.20564i	0.797876	−	0.602822i	$-0.205957\pi$
$948$	−4.36245	−	21.4496i	−0.141686	−	0.696651i
$949$	−8.55726			−0.277780
$950$	27.6141	+	34.5136i	0.895921	+	1.11977i
$951$	−3.25109	+	4.50276i	−0.105424	+	0.146012i
$952$	2.42161	+	1.52118i	0.0784848	+	0.0493019i
$953$	28.7039			0.929812			0.464906	−	0.885360i	$-0.346088\pi$
$953$	28.7039			0.929812			0.464906	+	0.885360i	$0.346088\pi$
$954$	16.8709	−	25.9817i	0.546214	−	0.841190i
$955$	−21.2136	+	36.7431i	−0.686457	+	1.18898i
$956$	15.9588	+	3.58881i	0.516145	+	0.116070i
$957$	9.37177	+	6.76662i	0.302946	+	0.218734i
$958$	33.3811	−	5.08603i	1.07849	−	0.164322i
$959$	1.63505	+	49.9489i	0.0527984	+	1.61294i
$960$	9.72773	−	39.4511i	0.313961	−	1.27328i
$961$	−30.5720			−0.986194
$962$	4.53362	−	3.62732i	0.146170	−	0.116950i
$963$	20.1402	+	17.9192i	0.649010	+	0.577438i
$964$	−16.4682	−	3.70336i	−0.530406	−	0.119277i
$965$	50.4665	+	29.1368i	1.62457	+	0.937948i
$966$	13.3022	−	28.1510i	0.427990	−	0.905742i
$967$	−15.4417	+	8.91526i	−0.496571	+	0.286695i	−0.727296	−	0.686324i	$-0.759223\pi$
$967$	−15.4417	+	8.91526i	−0.496571	+	0.286695i	0.230725	+	0.973019i	$0.425890\pi$
$968$	1.51304	−	21.5796i	0.0486310	−	0.693594i
$969$	4.66032	+	3.36485i	0.149711	+	0.108095i
$970$	7.53386	−	1.14788i	0.241898	−	0.0368561i
$971$	−11.4504	−	19.8326i	−0.367460	−	0.636459i	0.621708	−	0.783249i	$-0.286439\pi$
$971$	−11.4504	−	19.8326i	−0.367460	−	0.636459i	−0.989168	+	0.146790i	$0.953106\pi$
$972$	20.7903	−	23.2328i	0.666848	−	0.745194i
$973$	0.618549	+	18.8960i	0.0198298	+	0.605778i
$974$	4.73042	−	3.78478i	0.151572	−	0.121272i
$975$	3.20761	−	1.43953i	0.102726	−	0.0461020i
$976$	39.1974	−	3.18982i	1.25468	−	0.102104i
$977$	−38.1927			−1.22189			−0.610947	−	0.791671i	$-0.709211\pi$
$977$	−38.1927			−1.22189			−0.610947	+	0.791671i	$0.709211\pi$
$978$	27.9914	+	14.3652i	0.895065	+	0.459349i
$979$	−2.02748	+	3.51169i	−0.0647984	+	0.112234i
$980$	25.7937	−	31.9390i	0.823949	−	1.02025i
$981$	−8.80002	−	1.81602i	−0.280963	−	0.0579811i
$982$	1.62431	+	10.6609i	0.0518339	+	0.340202i
$983$	2.20510	+	3.81934i	0.0703316	+	0.121818i	0.899047	−	0.437853i	$-0.144261\pi$
$983$	2.20510	+	3.81934i	0.0703316	+	0.121818i	−0.828715	+	0.559671i	$0.810928\pi$
$984$	17.4313	+	47.4811i	0.555688	+	1.51364i
$985$	−47.5099	−	27.4299i	−1.51379	−	0.873989i
$986$	0.296742	+	1.94761i	0.00945021	+	0.0620245i
$987$	32.8442	−	16.0510i	1.04544	−	0.510908i
$988$	−2.91729	−	9.35128i	−0.0928114	−	0.297504i
$989$	−15.4621	−	26.7811i	−0.491665	−	0.851589i
$990$	−22.7459	−	1.19090i	−0.722911	−	0.0378493i
$991$	−46.5115	−	26.8534i	−1.47749	−	0.853027i	−0.477810	−	0.878463i	$-0.658569\pi$
$991$	−46.5115	−	26.8534i	−1.47749	−	0.853027i	−0.999676	+	0.0254358i	$0.991903\pi$
$992$	−3.54490	−	1.06248i	−0.112551	−	0.0337337i
$993$	−21.8642	−	15.7864i	−0.693841	−	0.500968i
$994$	23.4451	+	27.4139i	0.743635	+	0.869517i
$995$	7.32115	−	4.22687i	0.232096	−	0.134001i
$996$	−6.37729	+	19.0554i	−0.202072	+	0.603793i
$997$	35.7424	−	20.6359i	1.13197	−	0.653544i	0.187542	−	0.982257i	$-0.439948\pi$
$997$	35.7424	−	20.6359i	1.13197	−	0.653544i	0.944430	+	0.328713i	$0.106615\pi$
$998$	−23.0037	+	18.4052i	−0.728171	+	0.582605i
$999$	−8.19303	−	36.9267i	−0.259216	−	1.16831i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	252.2.bj.b.115.25	yes	84
3.2	odd	2		756.2.bj.b.451.18		84
4.3	odd	2	inner	252.2.bj.b.115.26	yes	84
7.5	odd	6		252.2.n.b.187.3	yes	84
9.4	even	3		252.2.n.b.31.32	yes	84
9.5	odd	6		756.2.n.b.199.11		84
12.11	even	2		756.2.bj.b.451.17		84
21.5	even	6		756.2.n.b.19.40		84
28.19	even	6		252.2.n.b.187.32	yes	84
36.23	even	6		756.2.n.b.199.40		84
36.31	odd	6		252.2.n.b.31.3	✓	84
63.5	even	6		756.2.bj.b.523.18		84
63.40	odd	6	inner	252.2.bj.b.103.25	yes	84
84.47	odd	6		756.2.n.b.19.11		84
252.103	even	6	inner	252.2.bj.b.103.26	yes	84
252.131	odd	6		756.2.bj.b.523.17		84

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
252.2.n.b.31.3	✓	84	36.31	odd	6
252.2.n.b.31.32	yes	84	9.4	even	3
252.2.n.b.187.3	yes	84	7.5	odd	6
252.2.n.b.187.32	yes	84	28.19	even	6
252.2.bj.b.103.25	yes	84	63.40	odd	6	inner
252.2.bj.b.103.26	yes	84	252.103	even	6	inner
252.2.bj.b.115.25	yes	84	1.1	even	1	trivial
252.2.bj.b.115.26	yes	84	4.3	odd	2	inner
756.2.n.b.19.11		84	84.47	odd	6
756.2.n.b.19.40		84	21.5	even	6
756.2.n.b.199.11		84	9.5	odd	6
756.2.n.b.199.40		84	36.23	even	6
756.2.bj.b.451.17		84	12.11	even	2
756.2.bj.b.451.18		84	3.2	odd	2
756.2.bj.b.523.17		84	252.131	odd	6
756.2.bj.b.523.18		84	63.5	even	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.bj (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.514563 - 1.31728i) q^{2} +(1.01391 - 1.40427i) q^{3} +(-1.47045 - 1.35565i) q^{4} +(2.53954 + 1.46621i) q^{5} +(-1.32809 - 2.05819i) q^{6} +(-2.33334 - 1.24720i) q^{7} +(-2.54241 + 1.23943i) q^{8} +(-0.943956 - 2.84762i) q^{9} +O(q^{10})\)	\(q+(0.514563 - 1.31728i) q^{2} +(1.01391 - 1.40427i) q^{3} +(-1.47045 - 1.35565i) q^{4} +(2.53954 + 1.46621i) q^{5} +(-1.32809 - 2.05819i) q^{6} +(-2.33334 - 1.24720i) q^{7} +(-2.54241 + 1.23943i) q^{8} +(-0.943956 - 2.84762i) q^{9} +(3.23816 - 2.59083i) q^{10} +(1.58550 - 0.915388i) q^{11} +(-3.39461 + 0.690400i) q^{12} +(0.488438 - 0.282000i) q^{13} +(-2.84357 + 2.43190i) q^{14} +(4.63383 - 2.07960i) q^{15} +(0.324441 + 3.98682i) q^{16} +(0.330952 + 0.191075i) q^{17} +(-4.23684 - 0.221827i) q^{18} +(4.34210 + 7.52073i) q^{19} +(-1.74661 - 5.59871i) q^{20} +(-4.11722 + 2.01209i) q^{21} +(-0.389982 - 2.55957i) q^{22} +(-4.16067 - 2.40216i) q^{23} +(-0.837290 + 4.82690i) q^{24} +(1.79952 + 3.11687i) q^{25} +(-0.120140 - 0.788516i) q^{26} +(-4.95592 - 1.56167i) q^{27} +(1.74029 + 4.99714i) q^{28} +(-1.82266 + 3.15694i) q^{29} +(-0.355016 - 7.17414i) q^{30} -0.654198 q^{31} +(5.41870 + 1.62409i) q^{32} +(0.322106 - 3.15459i) q^{33} +(0.421996 - 0.337636i) q^{34} +(-4.09697 - 6.58849i) q^{35} +(-2.47233 + 5.46695i) q^{36} +(3.63968 + 6.30411i) q^{37} +(12.1412 - 1.84986i) q^{38} +(0.0992299 - 0.971823i) q^{39} +(-8.27381 - 0.580115i) q^{40} +(8.94130 - 5.16226i) q^{41} +(0.531910 + 6.45888i) q^{42} +(5.57437 + 3.21836i) q^{43} +(-3.57234 - 0.803345i) q^{44} +(1.77798 - 8.61570i) q^{45} +(-5.30525 + 4.24470i) q^{46} -7.97727 q^{47} +(5.92753 + 3.58669i) q^{48} +(3.88897 + 5.82030i) q^{49} +(5.03175 - 0.766650i) q^{50} +(0.603879 - 0.271013i) q^{51} +(-1.10052 - 0.247483i) q^{52} +(-3.65087 + 6.32349i) q^{53} +(-4.60730 + 5.72476i) q^{54} +5.36859 q^{55} +(7.47812 + 0.278894i) q^{56} +(14.9637 + 1.52789i) q^{57} +(3.22070 + 4.02539i) q^{58} +0.0693815 q^{59} +(-9.63302 - 3.22389i) q^{60} -9.83174i q^{61} +(-0.336626 + 0.861761i) q^{62} +(-1.34899 + 7.82178i) q^{63} +(4.92765 - 6.30224i) q^{64} +1.65388 q^{65} +(-3.98974 - 2.04754i) q^{66} +1.81471i q^{67} +(-0.227618 - 0.729621i) q^{68} +(-7.59185 + 3.40712i) q^{69} +(-10.7870 + 2.00665i) q^{70} -9.64068i q^{71} +(5.92933 + 6.06984i) q^{72} +(-13.1397 - 7.58623i) q^{73} +(10.1771 - 1.55061i) q^{74} +(6.20149 + 0.633216i) q^{75} +(3.81063 - 16.9452i) q^{76} +(-4.84118 + 0.158473i) q^{77} +(-1.22910 - 0.630778i) q^{78} +6.31873i q^{79} +(-5.02157 + 10.6004i) q^{80} +(-7.21789 + 5.37606i) q^{81} +(-2.19928 - 14.4345i) q^{82} +(2.90035 - 5.02356i) q^{83} +(8.78184 + 2.62283i) q^{84} +(0.560312 + 0.970489i) q^{85} +(7.10785 - 5.68695i) q^{86} +(2.58518 + 5.76037i) q^{87} +(-2.89642 + 4.29239i) q^{88} +(-1.91814 + 1.10744i) q^{89} +(-10.4344 - 6.77542i) q^{90} +(-1.49140 + 0.0488201i) q^{91} +(2.86156 + 9.17265i) q^{92} +(-0.663300 + 0.918671i) q^{93} +(-4.10481 + 10.5083i) q^{94} +25.4656i q^{95} +(7.77476 - 5.96264i) q^{96} +(1.59144 + 0.918820i) q^{97} +(9.66809 - 2.12794i) q^{98} +(-4.10332 - 3.65081i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9}+O(q^{10}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9	\( 84 q + 2 q^{2} - 2 q^{4} + 6 q^{5} - 16 q^{8} + 4 q^{9} - 18 q^{10} - 6 q^{12} + 18 q^{13} + 14 q^{14} + 14 q^{16} + 6 q^{17} - 10 q^{18} - 24 q^{20} + 4 q^{21} + 6 q^{22} - 6 q^{24} + 16 q^{25} - 30 q^{26} - 4 q^{28} + 10 q^{29} + 11 q^{30} - 18 q^{32} - 18 q^{33} - 24 q^{34} - 38 q^{36} + 2 q^{37} + 33 q^{38} + 6 q^{40} + 6 q^{41} - 38 q^{42} - 13 q^{44} - 54 q^{45} + 10 q^{46} + 9 q^{48} - 28 q^{49} - 17 q^{50} - 27 q^{52} - 2 q^{53} - 39 q^{54} + 58 q^{56} + 6 q^{57} - 13 q^{58} - 31 q^{60} - 8 q^{64} - 100 q^{65} + 30 q^{66} - 18 q^{68} - 18 q^{69} - 19 q^{70} + 26 q^{72} + 30 q^{73} - 23 q^{74} - 2 q^{77} + 15 q^{78} + 3 q^{80} - 32 q^{81} - 18 q^{82} + 23 q^{84} - 50 q^{85} - 9 q^{86} + q^{88} - 102 q^{89} - 39 q^{90} + 28 q^{92} - 36 q^{93} + 63 q^{96} + 6 q^{97} + 21 q^{98}+O(q^{100}) \) 84 * q + 2 * q^2 - 2 * q^4 + 6 * q^5 - 16 * q^8 + 4 * q^9 - 18 * q^10 - 6 * q^12 + 18 * q^13 + 14 * q^14 + 14 * q^16 + 6 * q^17 - 10 * q^18 - 24 * q^20 + 4 * q^21 + 6 * q^22 - 6 * q^24 + 16 * q^25 - 30 * q^26 - 4 * q^28 + 10 * q^29 + 11 * q^30 - 18 * q^32 - 18 * q^33 - 24 * q^34 - 38 * q^36 + 2 * q^37 + 33 * q^38 + 6 * q^40 + 6 * q^41 - 38 * q^42 - 13 * q^44 - 54 * q^45 + 10 * q^46 + 9 * q^48 - 28 * q^49 - 17 * q^50 - 27 * q^52 - 2 * q^53 - 39 * q^54 + 58 * q^56 + 6 * q^57 - 13 * q^58 - 31 * q^60 - 8 * q^64 - 100 * q^65 + 30 * q^66 - 18 * q^68 - 18 * q^69 - 19 * q^70 + 26 * q^72 + 30 * q^73 - 23 * q^74 - 2 * q^77 + 15 * q^78 + 3 * q^80 - 32 * q^81 - 18 * q^82 + 23 * q^84 - 50 * q^85 - 9 * q^86 + q^88 - 102 * q^89 - 39 * q^90 + 28 * q^92 - 36 * q^93 + 63 * q^96 + 6 * q^97 + 21 * q^98

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