LMFDB - Embedded newform 63.2.i.b.5.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [63,2,Mod(5,63)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(63, base_ring=CyclotomicField(6))

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

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

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

chi := DirichletCharacter("63.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 63 = 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	63.i (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:	$0.503057532734$
Analytic rank:	$0$
Dimension:	$10$
Relative dimension:	$5$ over $\Q(\zeta_{6})$
Coefficient field:	10.0.288778218147.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{10} - x^{9} + 7x^{8} - 4x^{7} + 34x^{6} - 19x^{5} + 64x^{4} - x^{3} + 64x^{2} - 21x + 9 $ x^10 - x^9 + 7x^8 - 4x^7 + 34x^6 - 19x^5 + 64x^4 - x^3 + 64x^2 - 21*x + 9
Coefficient ring:	$\Z[a_1, \ldots, a_{11}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			5.2
Root			$-1.04536 + 1.81062i$ of defining polynomial
Character	$\chi$	$=$	63.5
Dual form			63.2.i.b.38.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q-1.51009i q^{2} +(0.811070 + 1.53041i) q^{3} -0.280386 q^{4} +(-0.387938 - 0.671929i) q^{5} +(2.31107 - 1.22479i) q^{6} +(-2.46849 + 0.952131i) q^{7} -2.59678i q^{8} +(-1.68433 + 2.48254i) q^{9} +O(q^{10})$	\(q-1.51009i q^{2} +(0.811070 + 1.53041i) q^{3} -0.280386 q^{4} +(-0.387938 - 0.671929i) q^{5} +(2.31107 - 1.22479i) q^{6} +(-2.46849 + 0.952131i) q^{7} -2.59678i q^{8} +(-1.68433 + 2.48254i) q^{9} +(-1.01468 + 0.585823i) q^{10} +(-3.32830 - 1.92159i) q^{11} +(-0.227413 - 0.429107i) q^{12} +(2.54198 + 1.46761i) q^{13} +(1.43781 + 3.72766i) q^{14} +(0.713684 - 1.13869i) q^{15} -4.48216 q^{16} +(2.69901 + 4.67482i) q^{17} +(3.74888 + 2.54350i) q^{18} +(-0.376551 - 0.217402i) q^{19} +(0.108773 + 0.188400i) q^{20} +(-3.45927 - 3.00557i) q^{21} +(-2.90179 + 5.02605i) q^{22} +(-0.0482537 + 0.0278593i) q^{23} +(3.97415 - 2.10617i) q^{24} +(2.19901 - 3.80879i) q^{25} +(2.21624 - 3.83863i) q^{26} +(-5.16543 - 0.564208i) q^{27} +(0.692131 - 0.266964i) q^{28} +(-0.187994 + 0.108538i) q^{29} +(-1.71953 - 1.07773i) q^{30} -6.55646i q^{31} +1.57492i q^{32} +(0.241352 - 6.65222i) q^{33} +(7.05942 - 4.07576i) q^{34} +(1.59739 + 1.28928i) q^{35} +(0.472264 - 0.696071i) q^{36} +(3.14698 - 5.45073i) q^{37} +(-0.328298 + 0.568628i) q^{38} +(-0.184332 + 5.08062i) q^{39} +(-1.74485 + 1.00739i) q^{40} +(-3.78757 + 6.56026i) q^{41} +(-4.53869 + 5.22383i) q^{42} +(6.42703 + 11.1319i) q^{43} +(0.933209 + 0.538789i) q^{44} +(2.32151 + 0.168677i) q^{45} +(0.0420702 + 0.0728677i) q^{46} +0.965544 q^{47} +(-3.63534 - 6.85955i) q^{48} +(5.18689 - 4.70065i) q^{49} +(-5.75164 - 3.32071i) q^{50} +(-4.96532 + 7.92220i) q^{51} +(-0.712737 - 0.411499i) q^{52} +(6.46438 - 3.73221i) q^{53} +(-0.852008 + 7.80029i) q^{54} +2.98184i q^{55} +(2.47247 + 6.41013i) q^{56} +(0.0273056 - 0.752608i) q^{57} +(0.163903 + 0.283889i) q^{58} -3.12439 q^{59} +(-0.200107 + 0.319272i) q^{60} -3.48424i q^{61} -9.90087 q^{62} +(1.79405 - 7.73184i) q^{63} -6.58603 q^{64} -2.27737i q^{65} +(-10.0455 - 0.364464i) q^{66} -4.20177 q^{67} +(-0.756765 - 1.31076i) q^{68} +(-0.0817733 - 0.0512523i) q^{69} +(1.94694 - 2.41220i) q^{70} -3.50812i q^{71} +(6.44662 + 4.37384i) q^{72} +(-7.05942 + 4.07576i) q^{73} +(-8.23112 - 4.75224i) q^{74} +(7.61258 + 0.276195i) q^{75} +(0.105580 + 0.0609566i) q^{76} +(10.0455 + 1.57446i) q^{77} +(7.67222 + 0.278359i) q^{78} -4.96220 q^{79} +(1.73880 + 3.01169i) q^{80} +(-3.32605 - 8.36286i) q^{81} +(9.90662 + 5.71959i) q^{82} +(4.31033 + 7.46571i) q^{83} +(0.969932 + 0.842720i) q^{84} +(2.09410 - 3.62708i) q^{85} +(16.8103 - 9.70542i) q^{86} +(-0.318585 - 0.199676i) q^{87} +(-4.98996 + 8.64286i) q^{88} +(-7.82041 + 13.5453i) q^{89} +(0.254718 - 3.50570i) q^{90} +(-7.67222 - 1.20249i) q^{91} +(0.0135297 - 0.00781136i) q^{92} +(10.0341 - 5.31775i) q^{93} -1.45806i q^{94} +0.337354i q^{95} +(-2.41028 + 1.27737i) q^{96} +(-1.24162 + 0.716849i) q^{97} +(-7.09843 - 7.83270i) q^{98} +(10.3764 - 5.02605i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	$ 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) $ 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$		−	1.51009i		−	1.06780i	−0.845548	−	0.533899i	$-0.820726\pi$
$2$		−	1.51009i		−	1.06780i	0.845548	−	0.533899i	$-0.179274\pi$
$3$	0.811070	+	1.53041i	0.468271	+	0.883585i
$3$	0.811070	+	1.53041i	0.468271	+	0.883585i
$4$	−0.280386			−0.140193
$5$	−0.387938	−	0.671929i	−0.173491	−	0.300496i	0.766147	−	0.642666i	$-0.222171\pi$
$5$	−0.387938	−	0.671929i	−0.173491	−	0.300496i	−0.939638	+	0.342170i	$0.888838\pi$
$6$	2.31107	−	1.22479i	0.943490	−	0.500019i
$7$	−2.46849	+	0.952131i	−0.933002	+	0.359872i
$7$	−2.46849	+	0.952131i	−0.933002	+	0.359872i
$8$		−	2.59678i		−	0.918100i
$9$	−1.68433	+	2.48254i	−0.561444	+	0.827515i
$10$	−1.01468	+	0.585823i	−0.320869	+	0.185254i
$11$	−3.32830	−	1.92159i	−1.00352	−	0.579382i	−0.0942318	−	0.995550i	$-0.530039\pi$
$11$	−3.32830	−	1.92159i	−1.00352	−	0.579382i	−0.909288	+	0.416168i	$0.863373\pi$
$12$	−0.227413	−	0.429107i	−0.0656484	−	0.123873i
$13$	2.54198	+	1.46761i	0.705019	+	0.407043i	0.809214	−	0.587514i	$-0.199893\pi$
$13$	2.54198	+	1.46761i	0.705019	+	0.407043i	−0.104195	+	0.994557i	$0.533227\pi$
$14$	1.43781	+	3.72766i	0.384270	+	0.996258i
$15$	0.713684	−	1.13869i	0.184272	−	0.294008i
$16$	−4.48216			−1.12054
$17$	2.69901	+	4.67482i	0.654606	+	1.13381i	0.981993	+	0.188920i	$0.0604986\pi$
$17$	2.69901	+	4.67482i	0.654606	+	1.13381i	−0.327387	+	0.944890i	$0.606168\pi$
$18$	3.74888	+	2.54350i	0.883619	+	0.599509i
$19$	−0.376551	−	0.217402i	−0.0863868	−	0.0498755i	0.456184	−	0.889885i	$-0.349216\pi$
$19$	−0.376551	−	0.217402i	−0.0863868	−	0.0498755i	−0.542571	+	0.840010i	$0.682549\pi$
$20$	0.108773	+	0.188400i	0.0243223	+	0.0421274i
$21$	−3.45927	−	3.00557i	−0.754875	−	0.655869i
$22$	−2.90179	+	5.02605i	−0.618663	+	1.07156i
$23$	−0.0482537	+	0.0278593i	−0.0100616	+	0.00580906i	−0.505022	−	0.863106i	$-0.668516\pi$
$23$	−0.0482537	+	0.0278593i	−0.0100616	+	0.00580906i	0.494961	+	0.868915i	$0.335182\pi$
$24$	3.97415	−	2.10617i	0.811219	−	0.429920i
$25$	2.19901	−	3.80879i	0.439802	−	0.761759i
$26$	2.21624	−	3.83863i	0.434640	−	0.752818i
$27$	−5.16543	−	0.564208i	−0.994088	−	0.108582i
$28$	0.692131	−	0.266964i	0.130800	−	0.0504515i
$29$	−0.187994	+	0.108538i	−0.0349096	+	0.0201551i	−0.517353	−	0.855772i	$-0.673083\pi$
$29$	−0.187994	+	0.108538i	−0.0349096	+	0.0201551i	0.482444	+	0.875927i	$0.339749\pi$
$30$	−1.71953	−	1.07773i	−0.313941	−	0.196766i
$31$		−	6.55646i		−	1.17757i	−0.808288	−	0.588787i	$-0.799606\pi$
$31$		−	6.55646i		−	1.17757i	0.808288	−	0.588787i	$-0.200394\pi$
$32$			1.57492i			0.278409i
$33$	0.241352	−	6.65222i	0.0420139	−	1.15800i
$34$	7.05942	−	4.07576i	1.21068	−	0.698987i
$35$	1.59739	+	1.28928i	0.270007	+	0.217928i
$36$	0.472264	−	0.696071i	0.0787106	−	0.116012i
$37$	3.14698	−	5.45073i	0.517361	−	0.896095i	−0.482436	−	0.875931i	$-0.660248\pi$
$37$	3.14698	−	5.45073i	0.517361	−	0.896095i	0.999797	−	0.0201636i	$-0.00641872\pi$
$38$	−0.328298	+	0.568628i	−0.0532569	+	0.0922437i
$39$	−0.184332	+	5.08062i	−0.0295167	+	0.813550i
$40$	−1.74485	+	1.00739i	−0.275885	+	0.159282i
$41$	−3.78757	+	6.56026i	−0.591519	+	1.02454i	0.402509	+	0.915416i	$0.368138\pi$
$41$	−3.78757	+	6.56026i	−0.591519	+	1.02454i	−0.994028	+	0.109125i	$0.965195\pi$
$42$	−4.53869	+	5.22383i	−0.700335	+	0.806054i
$43$	6.42703	+	11.1319i	0.980112	+	1.69760i	0.661914	+	0.749580i	$0.269745\pi$
$43$	6.42703	+	11.1319i	0.980112	+	1.69760i	0.318198	+	0.948024i	$0.396922\pi$
$44$	0.933209	+	0.538789i	0.140687	+	0.0812254i
$45$	2.32151	+	0.168677i	0.346070	+	0.0251449i
$46$	0.0420702	+	0.0728677i	0.00620291	+	0.0107437i
$47$	0.965544			0.140839			0.0704195	−	0.997517i	$-0.477566\pi$
$47$	0.965544			0.140839			0.0704195	+	0.997517i	$0.477566\pi$
$48$	−3.63534	−	6.85955i	−0.524716	−	0.990091i
$49$	5.18689	−	4.70065i	0.740985	−	0.671522i
$50$	−5.75164	−	3.32071i	−0.813405	−	0.469619i
$51$	−4.96532	+	7.92220i	−0.695284	+	1.10933i
$52$	−0.712737	−	0.411499i	−0.0988388	−	0.0570646i
$53$	6.46438	−	3.73221i	0.887950	−	0.512658i	0.0146788	−	0.999892i	$-0.495327\pi$
$53$	6.46438	−	3.73221i	0.887950	−	0.512658i	0.873272	+	0.487234i	$0.161994\pi$
$54$	−0.852008	+	7.80029i	−0.115944	+	1.06148i
$55$			2.98184i			0.402071i
$56$	2.47247	+	6.41013i	0.330398	+	0.856589i
$57$	0.0273056	−	0.752608i	0.00361672	−	0.0996853i
$58$	0.163903	+	0.283889i	0.0215215	+	0.0372764i
$59$	−3.12439			−0.406760			−0.203380	−	0.979100i	$-0.565193\pi$
$59$	−3.12439			−0.406760			−0.203380	+	0.979100i	$0.565193\pi$
$60$	−0.200107	+	0.319272i	−0.0258337	+	0.0412179i
$61$		−	3.48424i		−	0.446111i	−0.974806	−	0.223055i	$-0.928397\pi$
$61$		−	3.48424i		−	0.446111i	0.974806	−	0.223055i	$-0.0716031\pi$
$62$	−9.90087			−1.25741
$63$	1.79405	−	7.73184i	0.226029	−	0.974121i
$64$	−6.58603			−0.823254
$65$		−	2.27737i		−	0.282473i
$66$	−10.0455	−	0.364464i	−1.23651	−	0.0448624i
$67$	−4.20177			−0.513328			−0.256664	−	0.966501i	$-0.582623\pi$
$67$	−4.20177			−0.513328			−0.256664	+	0.966501i	$0.582623\pi$
$68$	−0.756765	−	1.31076i	−0.0917712	−	0.158952i
$69$	−0.0817733	−	0.0512523i	−0.00984435	−	0.00617005i
$70$	1.94694	−	2.41220i	0.232704	−	0.288314i
$71$		−	3.50812i		−	0.416337i	−0.978093	−	0.208169i	$-0.933250\pi$
$71$		−	3.50812i		−	0.416337i	0.978093	−	0.208169i	$-0.0667503\pi$
$72$	6.44662	+	4.37384i	0.759742	+	0.515462i
$73$	−7.05942	+	4.07576i	−0.826243	+	0.477031i	−0.852564	−	0.522622i	$-0.824954\pi$
$73$	−7.05942	+	4.07576i	−0.826243	+	0.477031i	0.0263219	+	0.999654i	$0.491621\pi$
$74$	−8.23112	−	4.75224i	−0.956848	−	0.552437i
$75$	7.61258	+	0.276195i	0.879025	+	0.0318922i
$76$	0.105580	+	0.0609566i	0.0121108	+	0.00699220i
$77$	10.0455	+	1.57446i	1.14479	+	0.179427i
$78$	7.67222	+	0.278359i	0.868708	+	0.0315179i
$79$	−4.96220			−0.558291			−0.279145	−	0.960249i	$-0.590051\pi$
$79$	−4.96220			−0.558291			−0.279145	+	0.960249i	$0.590051\pi$
$80$	1.73880	+	3.01169i	0.194404	+	0.336717i
$81$	−3.32605	−	8.36286i	−0.369561	−	0.929206i
$82$	9.90662	+	5.71959i	1.09400	+	0.631623i
$83$	4.31033	+	7.46571i	0.473120	+	0.819469i	0.999527	−	0.0307645i	$-0.00979420\pi$
$83$	4.31033	+	7.46571i	0.473120	+	0.819469i	−0.526406	+	0.850233i	$0.676461\pi$
$84$	0.969932	+	0.842720i	0.105828	+	0.0919483i
$85$	2.09410	−	3.62708i	0.227137	−	0.393412i
$86$	16.8103	−	9.70542i	1.81270	−	1.04656i
$87$	−0.318585	−	0.199676i	−0.0341559	−	0.0214075i
$88$	−4.98996	+	8.64286i	−0.531931	+	0.921332i
$89$	−7.82041	+	13.5453i	−0.828962	+	1.43580i	0.0698916	+	0.997555i	$0.477735\pi$
$89$	−7.82041	+	13.5453i	−0.828962	+	1.43580i	−0.898853	+	0.438249i	$0.855599\pi$
$90$	0.254718	−	3.50570i	0.0268497	−	0.369533i
$91$	−7.67222	−	1.20249i	−0.804267	−	0.126055i
$92$	0.0135297	−	0.00781136i	0.00141057	−	0.000814391i
$93$	10.0341	−	5.31775i	1.04049	−	0.551424i
$94$		−	1.45806i		−	0.150388i
$95$			0.337354i			0.0346118i
$96$	−2.41028	+	1.27737i	−0.245998	+	0.130371i
$97$	−1.24162	+	0.716849i	−0.126067	+	0.0727850i	−0.561708	−	0.827336i	$-0.689855\pi$
$97$	−1.24162	+	0.716849i	−0.126067	+	0.0727850i	0.435640	+	0.900121i	$0.356522\pi$
$98$	−7.09843	−	7.83270i	−0.717050	−	0.791222i
$99$	10.3764	−	5.02605i	1.04287	−	0.505137i
$100$	−0.616572	+	1.06793i	−0.0616572	+	0.106793i
$101$	8.01096	−	13.8754i	0.797120	−	1.38065i	−0.124364	−	0.992237i	$-0.539689\pi$
$101$	8.01096	−	13.8754i	0.797120	−	1.38065i	0.921484	−	0.388416i	$-0.126977\pi$
$102$	11.9633	+	7.49811i	1.18454	+	0.742423i
$103$	−14.6064	+	8.43299i	−1.43921	+	0.830928i	−0.997795	−	0.0663758i	$-0.978856\pi$
$103$	−14.6064	+	8.43299i	−1.43921	+	0.830928i	−0.441414	+	0.897303i	$0.645523\pi$
$104$	3.81107	−	6.60097i	0.373706	−	0.647278i
$105$	−0.677544	+	3.49036i	−0.0661215	+	0.340624i
$106$	−5.63599	−	9.76182i	−0.547416	−	0.948152i
$107$	3.36444	+	1.94246i	0.325253	+	0.187785i	0.653731	−	0.756727i	$-0.273203\pi$
$107$	3.36444	+	1.94246i	0.325253	+	0.187785i	−0.328479	+	0.944511i	$0.606536\pi$
$108$	1.44832	+	0.158196i	0.139364	+	0.0152224i
$109$	1.28254	+	2.22143i	0.122845	+	0.212774i	0.920889	−	0.389826i	$-0.127465\pi$
$109$	1.28254	+	2.22143i	0.122845	+	0.212774i	−0.798043	+	0.602600i	$0.794131\pi$
$110$	4.50286			0.429331
$111$	10.8943	+	0.395260i	1.03404	+	0.0375164i
$112$	11.0642	−	4.26760i	1.04546	−	0.403250i
$113$	−9.79043	−	5.65251i	−0.921006	−	0.531743i	−0.0370501	−	0.999313i	$-0.511796\pi$
$113$	−9.79043	−	5.65251i	−0.921006	−	0.531743i	−0.883956	+	0.467570i	$0.845129\pi$
$114$	−1.13651	−	0.0412341i	−0.106444	−	0.00386193i
$115$	0.0374389	+	0.0216154i	0.00349120	+	0.00201564i
$116$	0.0527109	−	0.0304327i	0.00489408	−	0.00282560i
$117$	−7.92496	+	3.83863i	−0.732663	+	0.354882i
$118$			4.71812i			0.434338i
$119$	−11.1135	−	8.96994i	−1.01877	−	0.822273i
$120$	−2.95692	−	1.85328i	−0.269929	−	0.169181i
$121$	1.88504	+	3.26499i	0.171368	+	0.296817i
$122$	−5.26153			−0.476356
$123$	−13.1119	−	0.475718i	−1.18226	−	0.0428940i
$124$			1.83834i			0.165088i
$125$	−7.29170			−0.652189
$126$	−11.6758	−	2.70919i	−1.04016	−	0.241354i
$127$	2.65660			0.235735			0.117867	−	0.993029i	$-0.462394\pi$
$127$	2.65660			0.235735			0.117867	+	0.993029i	$0.462394\pi$
$128$			13.0954i			1.15748i
$129$	−11.8237	+	18.8648i	−1.04102	+	1.66095i
$130$	−3.43905			−0.301625
$131$	−4.11811	−	7.13278i	−0.359801	−	0.623194i	0.628126	−	0.778111i	$-0.283822\pi$
$131$	−4.11811	−	7.13278i	−0.359801	−	0.623194i	−0.987927	+	0.154918i	$0.950489\pi$
$132$	−0.0676717	+	1.86519i	−0.00589006	+	0.162344i
$133$	1.13651	+	0.178129i	0.0985478	+	0.0154457i
$134$			6.34507i			0.548131i
$135$	1.62476	+	3.68968i	0.139837	+	0.317557i
$136$	12.1395	−	7.00873i	1.04095	−	0.600994i
$137$	15.0058	+	8.66359i	1.28203	+	0.740180i	0.977219	−	0.212233i	$-0.0680735\pi$
$137$	15.0058	+	8.66359i	1.28203	+	0.740180i	0.304811	+	0.952413i	$0.401407\pi$
$138$	−0.0773958	+	0.123485i	−0.00658837	+	0.0105118i
$139$	5.47677	+	3.16201i	0.464533	+	0.268198i	0.713949	−	0.700198i	$-0.246905\pi$
$139$	5.47677	+	3.16201i	0.464533	+	0.268198i	−0.249415	+	0.968397i	$0.580238\pi$
$140$	−0.447885	−	0.361497i	−0.0378532	−	0.0305521i
$141$	0.783123	+	1.47768i	0.0659509	+	0.124443i
$142$	−5.29759			−0.444564
$143$	−5.64031	−	9.76931i	−0.471667	−	0.816951i
$144$	7.54944	−	11.1272i	0.629120	−	0.927263i
$145$	0.145860	+	0.0842123i	0.0121130	+	0.00699345i
$146$	6.15478	+	10.6604i	0.509373	+	0.882260i
$147$	11.4009	+	4.12554i	0.940328	+	0.340269i
$148$	−0.882370	+	1.52831i	−0.0725304	+	0.125626i
$149$	−11.1061	+	6.41211i	−0.909847	+	0.525300i	−0.880382	−	0.474265i	$-0.842714\pi$
$149$	−11.1061	+	6.41211i	−0.909847	+	0.525300i	−0.0294650	+	0.999566i	$0.509380\pi$
$150$	0.417080	−	11.4957i	0.0340545	−	0.938621i
$151$	−2.62759	+	4.55111i	−0.213830	+	0.370364i	−0.952910	−	0.303253i	$-0.901927\pi$
$151$	−2.62759	+	4.55111i	−0.213830	+	0.370364i	0.739080	+	0.673618i	$0.235260\pi$
$152$	−0.564545	+	0.977821i	−0.0457907	+	0.0793118i
$153$	−16.1515	−	1.17354i	−1.30577	−	0.0948751i
$154$	2.37759	−	15.1696i	0.191591	−	1.22240i
$155$	−4.40547	+	2.54350i	−0.353856	+	0.204299i
$156$	0.0516841	−	1.42454i	0.00413804	−	0.114054i
$157$			7.98815i			0.637523i	0.947835	+	0.318762i	$0.103267\pi$
$157$			7.98815i			0.637523i	−0.947835	+	0.318762i	$0.896733\pi$
$158$			7.49339i			0.596142i
$159$	10.9549	+	6.86609i	0.868779	+	0.544516i
$160$	1.05823	−	0.610972i	0.0836608	−	0.0483016i
$161$	0.0925881	−	0.114714i	0.00729697	−	0.00904075i
$162$	−12.6287	+	5.02265i	−0.992205	+	0.394617i
$163$	5.75231	−	9.96329i	0.450556	−	0.780385i	−0.547865	−	0.836567i	$-0.684559\pi$
$163$	5.75231	−	9.96329i	0.450556	−	0.780385i	0.998421	+	0.0561817i	$0.0178926\pi$
$164$	1.06198	−	1.83941i	0.0829269	−	0.143634i
$165$	−4.56345	+	2.41848i	−0.355264	+	0.188278i
$166$	11.2739	−	6.50901i	0.875027	−	0.505197i
$167$	8.38240	−	14.5187i	0.648650	−	1.12349i	−0.334796	−	0.942291i	$-0.608667\pi$
$167$	8.38240	−	14.5187i	0.648650	−	1.12349i	0.983446	−	0.181204i	$-0.0579994\pi$
$168$	−7.80480	+	8.98297i	−0.602153	+	0.693051i
$169$	−2.19222	−	3.79704i	−0.168632	−	0.292080i
$170$	−5.47724	−	3.16228i	−0.420085	−	0.242536i
$171$	1.17395	−	0.568628i	0.0897740	−	0.0434841i
$172$	−1.80205	−	3.12124i	−0.137405	−	0.237992i
$173$	1.71279			0.130221			0.0651106	−	0.997878i	$-0.479260\pi$
$173$	1.71279			0.130221			0.0651106	+	0.997878i	$0.479260\pi$
$174$	−0.301530	+	0.481093i	−0.0228589	+	0.0364716i
$175$	−1.80176	+	11.4957i	−0.136200	+	0.868994i
$176$	14.9180	+	8.61288i	1.12448	+	0.649220i
$177$	−2.53409	−	4.78160i	−0.190474	−	0.359407i
$178$	20.4548	+	11.8096i	1.53315	+	0.885164i
$179$	12.4141	−	7.16731i	0.927877	−	0.535710i	0.0417372	−	0.999129i	$-0.486711\pi$
$179$	12.4141	−	7.16731i	0.927877	−	0.535710i	0.886139	+	0.463419i	$0.153377\pi$
$180$	−0.650919	−	0.0472948i	−0.0485167	−	0.00352514i
$181$		−	4.83147i		−	0.359121i	−0.983747	−	0.179560i	$-0.942532\pi$
$181$		−	4.83147i		−	0.359121i	0.983747	−	0.179560i	$-0.0574675\pi$
$182$	−1.81588	+	11.5858i	−0.134602	+	0.858795i
$183$	5.33232	−	2.82596i	0.394177	−	0.208901i
$184$	0.0723444	+	0.125304i	0.00533330	+	0.00923755i
$185$	−4.88334			−0.359030
$186$	−8.03030	−	15.1524i	−0.588810	−	1.11103i
$187$		−	20.7456i		−	1.51707i
$188$	−0.270725			−0.0197447
$189$	13.2880	−	3.52542i	0.966561	−	0.256437i
$190$	0.509437			0.0369584
$191$			3.14210i			0.227355i	0.993518	+	0.113677i	$0.0362630\pi$
$191$			3.14210i			0.227355i	−0.993518	+	0.113677i	$0.963737\pi$
$192$	−5.34173	−	10.0794i	−0.385506	−	0.727415i
$193$	6.01017			0.432621			0.216311	−	0.976325i	$-0.430598\pi$
$193$	6.01017			0.432621			0.216311	+	0.976325i	$0.430598\pi$
$194$	1.08251	+	1.87496i	0.0777197	+	0.134615i
$195$	3.48532	−	1.84711i	0.249589	−	0.132274i
$196$	−1.45433	+	1.31800i	−0.103881	+	0.0941427i
$197$			14.0902i			1.00388i	0.864901	+	0.501942i	$0.167381\pi$
$197$			14.0902i			1.00388i	−0.864901	+	0.501942i	$0.832619\pi$
$198$	−7.58980	−	15.6693i	−0.539384	−	1.11357i
$199$	−6.84234	+	3.95043i	−0.485041	+	0.280038i	−0.722515	−	0.691355i	$-0.757014\pi$
$199$	−6.84234	+	3.95043i	−0.485041	+	0.280038i	0.237474	+	0.971394i	$0.423681\pi$
$200$	−9.89060	−	5.71034i	−0.699371	−	0.403782i
$201$	−3.40793	−	6.43045i	−0.240377	−	0.453569i
$202$	−20.9531	−	12.0973i	−1.47426	−	0.851163i
$203$	0.360718	−	0.446921i	0.0253175	−	0.0313677i
$204$	1.39221	−	2.22128i	0.0974741	−	0.155520i
$205$	5.87737			0.410493
$206$	12.7346	+	22.0570i	0.887263	+	1.53678i
$207$	0.0121133	−	0.166716i	0.000841935	−	0.0115876i
$208$	−11.3936	−	6.57807i	−0.790001	−	0.456107i
$209$	0.835517	+	1.44716i	0.0577939	+	0.100102i
$210$	5.27077	+	1.02315i	0.363718	+	0.0706044i
$211$	2.57821	−	4.46559i	0.177491	−	0.307424i	−0.763529	−	0.645773i	$-0.776535\pi$
$211$	2.57821	−	4.46559i	0.177491	−	0.307424i	0.941021	+	0.338349i	$0.109868\pi$
$212$	−1.81252	+	1.04646i	−0.124485	+	0.0718712i
$213$	5.36887	−	2.84533i	0.367869	−	0.194959i
$214$	2.93330	−	5.08062i	0.200516	−	0.347304i
$215$	4.98658	−	8.63701i	0.340082	−	0.589039i
$216$	−1.46512	+	13.4135i	−0.0996891	+	0.912672i
$217$	6.24261	+	16.1846i	0.423776	+	1.09868i
$218$	3.35457	−	1.93676i	0.227200	−	0.131174i
$219$	−11.9633	−	7.49811i	−0.808403	−	0.506675i
$220$		−	0.836067i		−	0.0563676i
$221$			15.8444i			1.06581i
$222$	0.596880	−	16.4514i	0.0400600	−	1.10415i
$223$	−3.79823	+	2.19291i	−0.254348	+	0.146848i	−0.621754	−	0.783213i	$-0.713580\pi$
$223$	−3.79823	+	2.19291i	−0.254348	+	0.146848i	0.367405	+	0.930061i	$0.380246\pi$
$224$	−1.49953	−	3.88768i	−0.100192	−	0.259756i
$225$	5.75164	+	11.8744i	0.383443	+	0.791627i
$226$	−8.53582	+	14.7845i	−0.567794	+	0.983449i
$227$	4.83697	−	8.37788i	0.321041	−	0.556059i	−0.659662	−	0.751562i	$-0.729301\pi$
$227$	4.83697	−	8.37788i	0.321041	−	0.556059i	0.980703	+	0.195503i	$0.0626340\pi$
$228$	−0.00765613	+	0.211021i	−0.000507039	+	0.0139752i
$229$	7.66705	−	4.42657i	0.506653	−	0.292516i	−0.224804	−	0.974404i	$-0.572174\pi$
$229$	7.66705	−	4.42657i	0.506653	−	0.292516i	0.731457	+	0.681888i	$0.238841\pi$
$230$	0.0326412	−	0.0565363i	0.00215230	−	0.00372789i
$231$	5.73801	+	16.6507i	0.377533	+	1.09554i
$232$	0.281850	+	0.488179i	0.0185044	+	0.0320505i
$233$	−11.1612	−	6.44391i	−0.731194	−	0.422155i	0.0876651	−	0.996150i	$-0.472059\pi$
$233$	−11.1612	−	6.44391i	−0.731194	−	0.422155i	−0.818859	+	0.573995i	$0.805393\pi$
$234$	5.79670	+	11.9674i	0.378942	+	0.782336i
$235$	−0.374571	−	0.648777i	−0.0244343	−	0.0423215i
$236$	0.876035			0.0570250
$237$	−4.02469	−	7.59421i	−0.261432	−	0.493297i
$238$	−13.5455	+	16.7825i	−0.878022	+	1.08785i
$239$	4.18421	+	2.41575i	0.270654	+	0.156262i	0.629185	−	0.777256i	$-0.283389\pi$
$239$	4.18421	+	2.41575i	0.270654	+	0.156262i	−0.358531	+	0.933518i	$0.616722\pi$
$240$	−3.19884	+	5.10377i	−0.206484	+	0.329447i
$241$	−8.68938	−	5.01681i	−0.559732	−	0.323161i	0.193306	−	0.981139i	$-0.438079\pi$
$241$	−8.68938	−	5.01681i	−0.559732	−	0.323161i	−0.753038	+	0.657977i	$0.771412\pi$
$242$	4.93045	−	2.84659i	0.316941	−	0.182986i
$243$	10.1010	−	11.8731i	0.647978	−	0.761659i
$244$			0.976932i			0.0625417i
$245$	−5.17070	−	1.66166i	−0.330344	−	0.106160i
$246$	−0.718379	+	19.8002i	−0.0458022	+	1.26242i
$247$	−0.638125	−	1.10526i	−0.0406029	−	0.0703263i
$248$	−17.0257			−1.08113
$249$	−7.92965	+	12.6518i	−0.502521	+	0.801776i
$250$			11.0112i			0.696407i
$251$	7.98203			0.503821			0.251911	−	0.967751i	$-0.418941\pi$
$251$	7.98203			0.503821			0.251911	+	0.967751i	$0.418941\pi$
$252$	−0.503027	+	2.16790i	−0.0316878	+	0.136565i
$253$	0.214137			0.0134627
$254$		−	4.01171i		−	0.251717i
$255$	7.24939	+	0.263018i	0.453975	+	0.0164708i
$256$	6.60319			0.412700
$257$	−1.34115	−	2.32294i	−0.0836585	−	0.144901i	0.821160	−	0.570698i	$-0.193327\pi$
$257$	−1.34115	−	2.32294i	−0.0836585	−	0.144901i	−0.904819	+	0.425797i	$0.859994\pi$
$258$	28.4876	+	17.8549i	1.77356	+	1.11160i
$259$	−2.57849	+	16.4514i	−0.160219	+	1.02224i
$260$			0.638544i			0.0396008i
$261$	0.0471929	−	0.649518i	0.00292117	−	0.0402041i
$262$	−10.7712	+	6.21874i	−0.665445	+	0.384195i
$263$	−20.2961	−	11.7179i	−1.25151	−	0.722560i	−0.280101	−	0.959971i	$-0.590368\pi$
$263$	−20.2961	−	11.7179i	−1.25151	−	0.722560i	−0.971409	+	0.237411i	$0.923701\pi$
$264$	−17.2743	−	0.626737i	−1.06316	−	0.0385730i
$265$	−5.01556	−	2.89573i	−0.308103	−	0.177883i
$266$	0.268992	−	1.71624i	0.0164929	−	0.105229i
$267$	−27.0729	−	0.982241i	−1.65683	−	0.0601122i
$268$	1.17812			0.0719651
$269$	1.98955	+	3.44600i	0.121305	+	0.210106i	0.920283	−	0.391254i	$-0.127959\pi$
$269$	1.98955	+	3.44600i	0.121305	+	0.210106i	−0.798978	+	0.601361i	$0.794625\pi$
$270$	5.57176	−	2.45354i	0.339087	−	0.149318i
$271$	10.8303	+	6.25288i	0.657895	+	0.379836i	0.791474	−	0.611202i	$-0.209314\pi$
$271$	10.8303	+	6.25288i	0.657895	+	0.379836i	−0.133580	+	0.991038i	$0.542647\pi$
$272$	−12.0974	−	20.9533i	−0.733511	−	1.27048i
$273$	−4.38239	−	12.7170i	−0.265234	−	0.769666i
$274$	13.0828	−	22.6601i	0.790363	−	1.36895i
$275$	−14.6379	+	8.45120i	−0.882699	+	0.509626i
$276$	0.0229281	+	0.0143704i	0.00138011	+	0.000864999i
$277$	9.84547	−	17.0529i	0.591557	−	1.02461i	−0.402466	−	0.915435i	$-0.631847\pi$
$277$	9.84547	−	17.0529i	0.591557	−	1.02461i	0.994023	−	0.109172i	$-0.0348199\pi$
$278$	4.77494	−	8.27044i	0.286382	−	0.496028i
$279$	16.2767	+	11.0433i	0.974460	+	0.661142i
$280$	3.34798	−	4.14806i	0.200080	−	0.247894i
$281$	7.03456	−	4.06141i	0.419647	−	0.242283i	−0.275279	−	0.961364i	$-0.588770\pi$
$281$	7.03456	−	4.06141i	0.419647	−	0.242283i	0.694926	+	0.719081i	$0.255437\pi$
$282$	2.23144	−	1.18259i	0.132880	−	0.0704222i
$283$		−	1.34396i		−	0.0798899i	−0.999202	−	0.0399450i	$-0.987282\pi$
$283$		−	1.34396i		−	0.0798899i	0.999202	−	0.0399450i	$-0.0127183\pi$
$284$			0.983629i			0.0583676i
$285$	−0.516292	+	0.273618i	−0.0305825	+	0.0162077i
$286$	−14.7526	+	8.51741i	−0.872339	+	0.503645i
$287$	3.10335	−	19.8002i	0.183185	−	1.16877i
$288$	−3.90981	−	2.65269i	−0.230388	−	0.156311i
$289$	−6.06929	+	10.5123i	−0.357017	+	0.618371i
$290$	0.127169	−	0.220262i	0.00746760	−	0.0129343i
$291$	−2.10412	−	1.31878i	−0.123345	−	0.0773081i
$292$	1.97936	−	1.14279i	0.115834	−	0.0668765i
$293$	10.6300	−	18.4117i	0.621012	−	1.07562i	−0.368285	−	0.929713i	$-0.620055\pi$
$293$	10.6300	−	18.4117i	0.621012	−	1.07562i	0.989298	−	0.145912i	$-0.0466116\pi$
$294$	6.22995	−	17.2164i	0.363338	−	1.00408i
$295$	1.21207	+	2.09936i	0.0705693	+	0.122230i
$296$	−14.1543	−	8.17202i	−0.822705	−	0.474989i
$297$	16.1079	+	11.8037i	0.934676	+	0.684921i
$298$	9.68289	+	16.7713i	0.560915	+	0.971533i
$299$	−0.163547			−0.00945815
$300$	−2.13446	−	0.0774412i	−0.123233	−	0.00447107i
$301$	−26.4641	−	21.3597i	−1.52537	−	1.23115i
$302$	6.87261	+	3.96790i	0.395474	+	0.228327i
$303$	27.7325	+	1.00617i	1.59319	+	0.0578032i
$304$	1.68776	+	0.974430i	0.0967998	+	0.0558874i
$305$	−2.34116	+	1.35167i	−0.134054	+	0.0773963i
$306$	−1.77216	+	24.3903i	−0.101307	+	1.39430i
$307$		−	13.2098i		−	0.753925i	−0.926229	−	0.376962i	$-0.876969\pi$
$307$		−	13.2098i		−	0.753925i	0.926229	−	0.376962i	$-0.123031\pi$
$308$	−2.81662	−	0.441458i	−0.160492	−	0.0251544i
$309$	−24.7528	−	15.5140i	−1.40814	−	0.882563i
$310$	3.84093	+	6.65268i	0.218150	+	0.377847i
$311$	20.5373			1.16457			0.582283	−	0.812986i	$-0.302160\pi$
$311$	20.5373			1.16457			0.582283	+	0.812986i	$0.302160\pi$
$312$	13.1933	+	0.478669i	0.746921	+	0.0270993i
$313$			16.5094i			0.933168i	0.884477	+	0.466584i	$0.154515\pi$
$313$			16.5094i			0.933168i	−0.884477	+	0.466584i	$0.845485\pi$
$314$	12.0629			0.680746
$315$	−5.89123	+	1.79400i	−0.331933	+	0.101081i
$316$	1.39133			0.0782685
$317$		−	9.36591i		−	0.526042i	−0.964790	−	0.263021i	$-0.915281\pi$
$317$		−	9.36591i		−	0.526042i	0.964790	−	0.263021i	$-0.0847188\pi$
$318$	10.3684	−	16.5429i	0.581433	−	0.927680i
$319$	0.834266			0.0467099
$320$	2.55497	+	4.42534i	0.142827	+	0.247384i
$321$	−0.243972	+	6.72445i	−0.0136172	+	0.375322i
$322$	−0.173229	−	0.139817i	−0.00965369	−	0.00779169i
$323$		−	2.34708i		−	0.130595i
$324$	0.932579	+	2.34483i	0.0518100	+	0.130268i
$325$	11.1797	−	6.45459i	0.620137	−	0.358036i
$326$	−15.0455	−	8.68653i	−0.833294	−	0.481102i
$327$	−2.35948	+	3.76456i	−0.130479	+	0.208180i
$328$	17.0356	+	9.83548i	0.940631	+	0.543074i
$329$	−2.38344	+	0.919324i	−0.131403	+	0.0506840i
$330$	3.65213	+	6.89124i	0.201043	+	0.379350i
$331$	28.8439			1.58540			0.792702	−	0.609609i	$-0.208674\pi$
$331$	28.8439			1.58540			0.792702	+	0.609609i	$0.208674\pi$
$332$	−1.20856	−	2.09328i	−0.0663282	−	0.114884i
$333$	8.23112	+	16.9934i	0.451063	+	0.931231i
$334$	−21.9247	−	12.6582i	−1.19967	−	0.692627i
$335$	1.63003	+	2.82329i	0.0890579	+	0.154253i
$336$	15.5050	+	13.4714i	0.845867	+	0.734926i
$337$	−6.26205	+	10.8462i	−0.341116	+	0.590829i	−0.984640	−	0.174596i	$-0.944138\pi$
$337$	−6.26205	+	10.8462i	−0.341116	+	0.590829i	0.643525	+	0.765425i	$0.277471\pi$
$338$	−5.73388	+	3.31046i	−0.311882	+	0.180065i
$339$	0.709953	−	19.5680i	0.0385594	−	1.06279i
$340$	−0.587156	+	1.01698i	−0.0318430	+	0.0551537i
$341$	−12.5988	+	21.8218i	−0.682266	+	1.18172i
$342$	−0.858683	−	1.77277i	−0.0464322	−	0.0958606i
$343$	−8.32817	+	16.5421i	−0.449679	+	0.893190i
$344$	28.9072	−	16.6896i	1.55857	−	0.899841i
$345$	−0.00271488	+	0.0748286i	−0.000146164	+	0.00402864i
$346$		−	2.58648i		−	0.139050i
$347$			28.7220i			1.54188i	0.636908	+	0.770939i	$0.280213\pi$
$347$			28.7220i			1.54188i	−0.636908	+	0.770939i	$0.719787\pi$
$348$	0.0893268	+	0.0559865i	0.00478842	+	0.00300119i
$349$	−11.0854	+	6.40017i	−0.593389	+	0.342593i	−0.766436	−	0.642320i	$-0.777972\pi$
$349$	−11.0854	+	6.40017i	−0.593389	+	0.342593i	0.173048	+	0.984913i	$0.444639\pi$
$350$	17.3596	+	2.72083i	0.927911	+	0.145435i
$351$	−12.3024	−	9.01506i	−0.656653	−	0.481188i
$352$	3.02636	−	5.24181i	0.161305	−	0.279389i
$353$	−13.4991	+	23.3811i	−0.718485	+	1.24445i	0.243115	+	0.969998i	$0.421831\pi$
$353$	−13.4991	+	23.3811i	−0.718485	+	1.24445i	−0.961600	+	0.274455i	$0.911502\pi$
$354$	−7.22067	+	3.82672i	−0.383774	+	0.203388i
$355$	−2.35721	+	1.36093i	−0.125108	+	0.0722309i
$356$	2.19274	−	3.79793i	0.116215	−	0.201290i
$357$	4.71388	−	24.2835i	0.249485	−	1.28522i
$358$	−10.8233	−	18.7465i	−0.572030	−	0.990785i
$359$	24.2669	+	14.0105i	1.28076	+	0.739445i	0.976987	−	0.213300i	$-0.0684212\pi$
$359$	24.2669	+	14.0105i	1.28076	+	0.739445i	0.303770	+	0.952745i	$0.401755\pi$
$360$	0.438017	−	6.02845i	0.0230855	−	0.317727i
$361$	−9.40547	−	16.2908i	−0.495025	−	0.857408i
$362$	−7.29598			−0.383468
$363$	−3.46789	+	5.53303i	−0.182017	+	0.290409i
$364$	2.15118	+	0.337162i	0.112753	+	0.0176721i
$365$	5.47724	+	3.16228i	0.286692	+	0.165522i
$366$	−4.26747	−	8.05232i	−0.223064	−	0.420901i
$367$	−28.9584	−	16.7191i	−1.51161	−	0.872731i	−0.999908	−	0.0135705i	$-0.995680\pi$
$367$	−28.9584	−	16.7191i	−1.51161	−	0.872731i	−0.511706	−	0.859160i	$-0.670986\pi$
$368$	0.216281	−	0.124870i	0.0112744	−	0.00650928i
$369$	−9.90662	−	20.4525i	−0.515718	−	1.06471i
$370$			7.37430i			0.383372i
$371$	−12.4037	+	15.3679i	−0.643968	+	0.797859i
$372$	−2.81342	+	1.49102i	−0.145869	+	0.0773059i
$373$	3.98403	+	6.90053i	0.206285	+	0.357296i	0.950541	−	0.310598i	$-0.100529\pi$
$373$	3.98403	+	6.90053i	0.206285	+	0.357296i	−0.744256	+	0.667894i	$0.767196\pi$
$374$	−31.3278			−1.61992
$375$	−5.91408	−	11.1593i	−0.305402	−	0.576265i
$376$		−	2.50730i		−	0.129304i
$377$	−0.637169			−0.0328159
$378$	−5.32372	−	20.0662i	−0.273823	−	1.03209i
$379$	3.88714			0.199669			0.0998345	−	0.995004i	$-0.468169\pi$
$379$	3.88714			0.199669			0.0998345	+	0.995004i	$0.468169\pi$
$380$		−	0.0945895i		−	0.00485234i
$381$	2.15468	+	4.06569i	0.110388	+	0.208292i
$382$	4.74487			0.242769
$383$	6.34150	+	10.9838i	0.324036	+	0.561246i	0.981317	−	0.192399i	$-0.0616269\pi$
$383$	6.34150	+	10.9838i	0.324036	+	0.561246i	−0.657281	+	0.753646i	$0.728294\pi$
$384$	−20.0413	+	10.6213i	−1.02273	+	0.542014i
$385$	−2.83910	−	7.36064i	−0.144694	−	0.375133i
$386$		−	9.07592i		−	0.461952i
$387$	−38.4608	−	2.79450i	−1.95507	−	0.142052i
$388$	0.348133	−	0.200995i	0.0176738	−	0.0102040i
$389$	17.8067	+	10.2807i	0.902835	+	0.521252i	0.878119	−	0.478442i	$-0.158798\pi$
$389$	17.8067	+	10.2807i	0.902835	+	0.521252i	0.0247163	+	0.999695i	$0.492132\pi$
$390$	−2.78931	−	5.26317i	−0.141242	−	0.266511i
$391$	−0.260474	−	0.150385i	−0.0131727	−	0.00760529i
$392$	−12.2066	−	13.4692i	−0.616524	−	0.680298i
$393$	7.57603	−	12.0876i	0.382160	−	0.609739i
$394$	21.2775			1.07195
$395$	1.92503	+	3.33424i	0.0968586	+	0.167764i
$396$	−2.90940	+	1.40923i	−0.146203	+	0.0708167i
$397$	12.9646	+	7.48513i	0.650676	+	0.375668i	0.788715	−	0.614759i	$-0.210747\pi$
$397$	12.9646	+	7.48513i	0.650676	+	0.375668i	−0.138039	+	0.990427i	$0.544080\pi$
$398$	5.96552	+	10.3326i	0.299025	+	0.517926i
$399$	0.649177	+	1.88380i	0.0324995	+	0.0943081i
$400$	−9.85630	+	17.0716i	−0.492815	+	0.853580i
$401$	8.93429	−	5.15821i	0.446157	−	0.257589i	−0.260049	−	0.965595i	$-0.583739\pi$
$401$	8.93429	−	5.15821i	0.446157	−	0.257589i	0.706206	+	0.708007i	$0.250405\pi$
$402$	−9.71058	+	5.14629i	−0.484320	+	0.256674i
$403$	9.62235	−	16.6664i	0.479323	−	0.830212i
$404$	−2.24616	+	3.89047i	−0.111751	+	0.193558i
$405$	−4.32894	+	5.47914i	−0.215107	+	0.272261i
$406$	−0.674892	−	0.544719i	−0.0334943	−	0.0270340i
$407$	−20.9482	+	12.0944i	−1.03836	+	0.599499i
$408$	20.5722	+	12.8939i	1.01848	+	0.638341i
$409$			18.5199i			0.915750i	0.889017	+	0.457875i	$0.151389\pi$
$409$			18.5199i			0.915750i	−0.889017	+	0.457875i	$0.848611\pi$
$410$		−	8.87539i		−	0.438324i
$411$	−1.08814	+	29.9918i	−0.0536742	+	1.47939i
$412$	4.09543	−	2.36450i	0.201767	−	0.116490i
$413$	7.71252	−	2.97482i	0.379508	−	0.146381i
$414$	−0.251757	−	0.0182923i	−0.0123732	−	0.000899017i
$415$	3.34429	−	5.79247i	0.164165	−	0.284341i
$416$	−2.31138	+	4.00342i	−0.113325	+	0.196284i
$417$	−0.397148	+	10.9463i	−0.0194484	+	0.536044i
$418$	2.18535	−	1.26171i	0.106889	−	0.0617122i
$419$	−6.37677	+	11.0449i	−0.311526	+	0.539578i	−0.978693	−	0.205330i	$-0.934173\pi$
$419$	−6.37677	+	11.0449i	−0.311526	+	0.539578i	0.667167	+	0.744908i	$0.267507\pi$
$420$	0.189974	−	0.978649i	0.00926978	−	0.0477532i
$421$	6.78793	+	11.7570i	0.330824	+	0.573003i	0.982674	−	0.185345i	$-0.0593402\pi$
$421$	6.78793	+	11.7570i	0.330824	+	0.573003i	−0.651850	+	0.758348i	$0.726007\pi$
$422$	−6.74347	−	3.89334i	−0.328267	−	0.189525i
$423$	−1.62630	+	2.39701i	−0.0790732	+	0.116546i
$424$	−9.69173	−	16.7866i	−0.470672	−	0.815227i
$425$	23.7406			1.15159
$426$	−4.29672	−	8.10751i	−0.208177	−	0.392810i
$427$	3.31745	+	8.60081i	0.160543	+	0.416222i
$428$	−0.943342	−	0.544639i	−0.0455982	−	0.0263261i
$429$	10.3764	−	16.5556i	0.500977	−	0.799312i
$430$	−13.0427	−	7.53020i	−0.628975	−	0.363139i
$431$	−31.3069	+	18.0750i	−1.50800	+	0.870643i	−0.508041	+	0.861333i	$0.669630\pi$
$431$	−31.3069	+	18.0750i	−1.50800	+	0.870643i	−0.999957	+	0.00931038i	$0.997036\pi$
$432$	23.1523	+	2.52887i	1.11391	+	0.121670i
$433$		−	33.0085i		−	1.58629i	−0.609034	−	0.793144i	$-0.708443\pi$
$433$		−	33.0085i		−	1.58629i	0.609034	−	0.793144i	$-0.291557\pi$
$434$	24.4402	−	9.42693i	1.17317	−	0.452507i
$435$	−0.0105770	+	0.291528i	−0.000507130	+	0.0139777i
$436$	−0.359608	−	0.622859i	−0.0172221	−	0.0298295i
$437$	0.0242267			0.00115892
$438$	−11.3229	+	18.0657i	−0.541027	+	0.863212i
$439$			30.5618i			1.45863i	0.684176	+	0.729317i	$0.260162\pi$
$439$			30.5618i			1.45863i	−0.684176	+	0.729317i	$0.739838\pi$
$440$	7.74318			0.369141
$441$	2.93312	+	20.7942i	0.139673	+	0.990198i
$442$	23.9266			1.13807
$443$			20.7026i			0.983612i	0.870705	+	0.491806i	$0.163663\pi$
$443$			20.7026i			0.983612i	−0.870705	+	0.491806i	$0.836337\pi$
$444$	−3.05461	−	0.110825i	−0.144965	−	0.00525955i
$445$	12.1353			0.575270
$446$	3.31150	+	5.73569i	0.156804	+	0.271593i
$447$	−18.8210	−	11.7963i	−0.890203	−	0.557944i
$448$	16.2576	−	6.27076i	0.768097	−	0.296266i
$449$		−	6.40243i		−	0.302150i	−0.988522	−	0.151075i	$-0.951727\pi$
$449$		−	6.40243i		−	0.302150i	0.988522	−	0.151075i	$-0.0482734\pi$
$450$	17.9315	−	8.68552i	0.845298	−	0.409439i
$451$	25.2123	−	14.5563i	1.18720	−	0.685431i
$452$	2.74510	+	1.58489i	0.129119	+	0.0745467i
$453$	−9.09624	−	0.330024i	−0.427379	−	0.0155059i
$454$	−12.6514	−	7.30428i	−0.593759	−	0.342807i
$455$	2.16836	+	5.62168i	0.101654	+	0.263548i
$456$	−1.95436	−	0.0709067i	−0.0915211	−	0.00332051i
$457$	−3.14680			−0.147201			−0.0736007	−	0.997288i	$-0.523449\pi$
$457$	−3.14680			−0.147201			−0.0736007	+	0.997288i	$0.523449\pi$
$458$	−6.68454	−	11.5780i	−0.312348	−	0.541003i
$459$	−11.3040	−	25.6703i	−0.527624	−	1.19818i
$460$	−0.0104974	−	0.00606065i	−0.000489442	−	0.000282579i
$461$	−7.44225	−	12.8904i	−0.346620	−	0.600364i	0.639026	−	0.769185i	$-0.279337\pi$
$461$	−7.44225	−	12.8904i	−0.346620	−	0.600364i	−0.985647	+	0.168821i	$0.946004\pi$
$462$	25.1442	−	8.66493i	1.16981	−	0.403129i
$463$	13.3616	−	23.1429i	0.620964	−	1.07554i	−0.368342	−	0.929690i	$-0.620075\pi$
$463$	13.3616	−	23.1429i	0.620964	−	1.07554i	0.989307	−	0.145851i	$-0.0465921\pi$
$464$	0.842618	−	0.486486i	0.0391175	−	0.0225845i
$465$	−7.46575	−	4.67924i	−0.346216	−	0.216995i
$466$	−9.73092	+	16.8544i	−0.450776	+	0.780767i
$467$	12.3967	−	21.4717i	0.573650	−	0.993591i	−0.422537	−	0.906346i	$-0.638860\pi$
$467$	12.3967	−	21.4717i	0.573650	−	0.993591i	0.996187	−	0.0872454i	$-0.0278064\pi$
$468$	2.22205	−	1.07630i	0.102714	−	0.0497520i
$469$	10.3720	−	4.00063i	0.478936	−	0.184732i
$470$	−0.979714	+	0.565638i	−0.0451908	+	0.0260909i
$471$	−12.2252	+	6.47894i	−0.563306	+	0.298534i
$472$			8.11334i			0.373447i
$473$		−	49.4005i		−	2.27144i
$474$	−11.4680	+	6.07766i	−0.526742	+	0.279156i
$475$	−1.65608	+	0.956138i	−0.0759861	+	0.0438706i
$476$	3.11608	+	2.51505i	0.142825	+	0.115277i
$477$	−1.62278	+	22.3344i	−0.0743020	+	1.02262i
$478$	3.64801	−	6.31855i	0.166856	−	0.289004i
$479$	6.26354	−	10.8488i	0.286189	−	0.495693i	−0.686708	−	0.726933i	$-0.740945\pi$
$479$	6.26354	−	10.8488i	0.286189	−	0.495693i	0.972897	+	0.231240i	$0.0742783\pi$
$480$	1.79334	+	1.12400i	0.0818545	+	0.0513032i
$481$	15.9991	−	9.23711i	0.729498	−	0.421176i
$482$	−7.57587	+	13.1218i	−0.345071	+	0.597681i
$483$	0.250656	+	0.0486569i	0.0114052	+	0.00221397i
$484$	−0.528540	−	0.915459i	−0.0240246	−	0.0416118i
$485$	0.963343	+	0.556187i	0.0437432	+	0.0252551i
$486$	−17.9295	−	15.2534i	−0.813299	−	0.691909i
$487$	1.69748	+	2.94012i	0.0769202	+	0.133230i	0.901920	−	0.431904i	$-0.142158\pi$
$487$	1.69748	+	2.94012i	0.0769202	+	0.133230i	−0.824999	+	0.565133i	$0.808825\pi$
$488$	−9.04780			−0.409575
$489$	19.9135	+	0.722488i	0.900519	+	0.0326720i
$490$	−2.50927	+	7.80824i	−0.113357	+	0.352740i
$491$	0.780171	+	0.450432i	0.0352086	+	0.0203277i	0.517501	−	0.855683i	$-0.326862\pi$
$491$	0.780171	+	0.450432i	0.0352086	+	0.0203277i	−0.482292	+	0.876010i	$0.660196\pi$
$492$	3.67640	+	0.133385i	0.165745	+	0.00601345i
$493$	−1.01479	−	0.585891i	−0.0457040	−	0.0263872i
$494$	−1.66905	+	0.963629i	−0.0750943	+	0.0433557i
$495$	−7.40255	−	5.02241i	−0.332720	−	0.225740i
$496$			29.3871i			1.31952i
$497$	3.34019	+	8.65976i	0.149828	+	0.388443i
$498$	19.1054	+	11.9745i	0.856135	+	0.536591i
$499$	−10.9344	−	18.9390i	−0.489492	−	0.847825i	0.510435	−	0.859916i	$-0.329484\pi$
$499$	−10.9344	−	18.9390i	−0.489492	−	0.847825i	−0.999927	+	0.0120916i	$0.996151\pi$
$500$	2.04449			0.0914325
$501$	29.0184	+	1.05283i	1.29645	+	0.0470369i
$502$		−	12.0536i		−	0.537979i
$503$	−42.9876			−1.91672			−0.958362	−	0.285557i	$-0.907821\pi$
$503$	−42.9876			−1.91672			−0.958362	+	0.285557i	$0.907821\pi$
$504$	−20.0779	−	4.65876i	−0.894340	−	0.207518i
$505$	−12.4310			−0.553173
$506$		−	0.323367i		−	0.0143754i
$507$	4.03299	−	6.43466i	0.179111	−	0.285773i
$508$	−0.744873			−0.0330484
$509$	−15.0416	−	26.0528i	−0.666708	−	1.15477i	−0.978819	−	0.204727i	$-0.934369\pi$
$509$	−15.0416	−	26.0528i	−0.666708	−	1.15477i	0.312111	−	0.950046i	$-0.398964\pi$
$510$	0.397182	−	10.9473i	0.0175875	−	0.484753i
$511$	13.5455	−	16.7825i	0.599216	−	0.742412i
$512$			16.2193i			0.716799i
$513$	1.82239	+	1.33543i	0.0804605	+	0.0589606i
$514$	−3.50785	+	2.02526i	−0.154725	+	0.0893304i
$515$	11.3327	+	6.54296i	0.499380	+	0.288317i
$516$	3.31520	−	5.28943i	0.145944	−	0.232854i
$517$	−3.21362	−	1.85538i	−0.141335	−	0.0815997i
$518$	24.8432	+	3.89376i	1.09155	+	0.171082i
$519$	1.38919	+	2.62128i	0.0609789	+	0.115061i
$520$	−5.91384			−0.259339
$521$	−6.00837	−	10.4068i	−0.263231	−	0.455930i	0.703867	−	0.710331i	$-0.251455\pi$
$521$	−6.00837	−	10.4068i	−0.263231	−	0.455930i	−0.967099	+	0.254401i	$0.918122\pi$
$522$	−0.980833	−	0.0712658i	−0.0429299	−	0.00311922i
$523$	−16.1185	−	9.30602i	−0.704813	−	0.406924i	0.104325	−	0.994543i	$-0.466732\pi$
$523$	−16.1185	−	9.30602i	−0.704813	−	0.406924i	−0.809137	+	0.587620i	$0.800065\pi$
$524$	1.15466	+	1.99993i	0.0504417	+	0.0873675i
$525$	−19.0546	+	6.56638i	−0.831609	+	0.286581i
$526$	−17.6952	+	30.6490i	−0.771548	+	1.33636i
$527$	30.6503	−	17.6959i	1.33515	−	0.770847i
$528$	−1.08178	+	29.8163i	−0.0470782	+	1.29759i
$529$	−11.4984	+	19.9159i	−0.499933	+	0.865909i
$530$	−4.37283	+	7.57397i	−0.189944	+	0.328992i
$531$	5.26250	−	7.75642i	0.228373	−	0.336600i
$532$	−0.318662	−	0.0499449i	−0.0138157	−	0.00216539i
$533$	−19.2559	+	11.1174i	−0.834064	+	0.481547i
$534$	−1.48328	+	40.8826i	−0.0641877	+	1.76916i
$535$		−	3.01422i		−	0.130316i
$536$			10.9111i			0.471286i
$537$	21.0377	+	13.1856i	0.907843	+	0.569000i
$538$	5.20379	−	3.00441i	0.224351	−	0.129529i
$539$	−26.2963	+	5.67806i	−1.13266	+	0.244572i
$540$	−0.455560	−	1.03454i	−0.0196042	−	0.0445193i
$541$	−21.1242	+	36.5882i	−0.908201	+	1.57305i	−0.0916391	+	0.995792i	$0.529211\pi$
$541$	−21.1242	+	36.5882i	−0.908201	+	1.57305i	−0.816562	+	0.577258i	$0.804123\pi$
$542$	9.44245	−	16.3548i	0.405588	−	0.702499i
$543$	7.39415	−	3.91866i	0.317314	−	0.168166i
$544$	−7.36247	+	4.25072i	−0.315663	+	0.182248i
$545$	0.995095	−	1.72356i	0.0426252	−	0.0738290i
$546$	−19.2038	+	6.61783i	−0.821848	+	0.283217i
$547$	−6.92349	−	11.9918i	−0.296027	−	0.512734i	0.679196	−	0.733957i	$-0.262329\pi$
$547$	−6.92349	−	11.9918i	−0.296027	−	0.512734i	−0.975223	+	0.221223i	$0.928995\pi$
$548$	−4.20741	−	2.42915i	−0.179732	−	0.103768i
$549$	8.64977	+	5.86861i	0.369163	+	0.250466i
$550$	12.7621	+	22.1046i	0.544178	+	0.942544i
$551$	0.0943858			0.00402097
$552$	−0.133091	+	0.212347i	−0.00566473	+	0.00903810i
$553$	12.2491	−	4.72466i	0.520886	−	0.200913i
$554$	−25.7514	−	14.8676i	−1.09407	−	0.631664i
$555$	−3.96073	−	7.47353i	−0.168123	−	0.317234i
$556$	−1.53561	−	0.886585i	−0.0651244	−	0.0375996i
$557$	27.2305	−	15.7215i	1.15379	−	0.666143i	0.203985	−	0.978974i	$-0.434611\pi$
$557$	27.2305	−	15.7215i	1.15379	−	0.666143i	0.949809	+	0.312831i	$0.101277\pi$
$558$	16.6764	−	24.5794i	0.705967	−	1.04053i
$559$			37.7296i			1.59579i
$560$	−7.15973	−	5.77876i	−0.302554	−	0.244197i
$561$	31.7493	−	16.8261i	1.34046	−	0.710399i
$562$	−6.13311	−	10.6229i	−0.258710	−	0.448098i
$563$	34.1657			1.43991			0.719956	−	0.694019i	$-0.244162\pi$
$563$	34.1657			1.43991			0.719956	+	0.694019i	$0.244162\pi$
$564$	−0.219577	−	0.414322i	−0.00924586	−	0.0174461i
$565$			8.77129i			0.369011i
$566$	−2.02950			−0.0853063
$567$	16.1729	+	17.4768i	0.679196	+	0.733957i
$568$	−9.10981			−0.382239
$569$		−	22.7074i		−	0.951944i	−0.879461	−	0.475972i	$-0.842096\pi$
$569$		−	22.7074i		−	0.951944i	0.879461	−	0.475972i	$-0.157904\pi$
$570$	0.413189	+	0.779649i	0.0173066	+	0.0326559i
$571$	−10.5986			−0.443538			−0.221769	−	0.975099i	$-0.571183\pi$
$571$	−10.5986			−0.443538			−0.221769	+	0.975099i	$0.571183\pi$
$572$	1.58147	+	2.73918i	0.0661245	+	0.114531i
$573$	−4.80872	+	2.54846i	−0.200887	+	0.106464i
$574$	−29.9002	−	4.68636i	−1.24801	−	0.195605i
$575$			0.245051i			0.0102193i
$576$	11.0931	−	16.3501i	0.462211	−	0.681255i
$577$	−12.6222	+	7.28745i	−0.525471	+	0.303381i	−0.739170	−	0.673519i	$-0.764782\pi$
$577$	−12.6222	+	7.28745i	−0.525471	+	0.303381i	0.213699	+	0.976899i	$0.431449\pi$
$578$	15.8746	+	9.16520i	0.660296	+	0.381222i
$579$	4.87467	+	9.19804i	0.202584	+	0.382258i
$580$	−0.0408971	−	0.0236120i	−0.00169816	−	0.000980434i
$581$	−17.7484	−	14.3250i	−0.736326	−	0.594303i
$582$	−1.99148	+	3.17741i	−0.0825494	+	0.131708i
$583$	−28.6872			−1.18810
$584$	10.5838	+	18.3318i	0.437963	+	0.758574i
$585$	5.65368	+	3.83585i	0.233751	+	0.158593i
$586$	−27.8035	−	16.0523i	−1.14855	−	0.663116i
$587$	15.0927	+	26.1414i	0.622944	+	1.07897i	0.988935	+	0.148352i	$0.0473969\pi$
$587$	15.0927	+	26.1414i	0.622944	+	1.07897i	−0.365991	+	0.930619i	$0.619270\pi$
$588$	−3.19665	−	1.15674i	−0.131828	−	0.0477033i
$589$	−1.42539	+	2.46884i	−0.0587321	+	0.101727i
$590$	3.17024	−	1.83034i	0.130517	−	0.0753538i
$591$	−21.5638	+	11.4281i	−0.887016	+	0.470090i
$592$	−14.1053	+	24.4310i	−0.579723	+	1.00411i
$593$	−15.2911	+	26.4850i	−0.627930	+	1.08761i	0.360036	+	0.932938i	$0.382764\pi$
$593$	−15.2911	+	26.4850i	−0.627930	+	1.08761i	−0.987966	+	0.154669i	$0.950569\pi$
$594$	17.8247	−	24.3245i	0.731357	−	0.998045i
$595$	−1.71580	+	10.9473i	−0.0703411	+	0.448794i
$596$	3.11400	−	1.79787i	0.127554	−	0.0736435i
$597$	−11.5954	−	7.26754i	−0.474568	−	0.297441i
$598$			0.246971i			0.0100994i
$599$			2.70052i			0.110340i	0.998477	+	0.0551701i	$0.0175701\pi$
$599$			2.70052i			0.110340i	−0.998477	+	0.0551701i	$0.982430\pi$
$600$	0.717217	−	19.7682i	0.0292803	−	0.807033i
$601$	21.0197	−	12.1357i	0.857411	−	0.495026i	−0.00573343	−	0.999984i	$-0.501825\pi$
$601$	21.0197	−	12.1357i	0.857411	−	0.495026i	0.863144	+	0.504957i	$0.168492\pi$
$602$	−32.2552	+	39.9633i	−1.31462	+	1.62878i
$603$	7.07717	−	10.4311i	0.288205	−	0.424786i
$604$	0.736739	−	1.27607i	0.0299775	−	0.0519225i
$605$	1.46256	−	2.53323i	0.0594616	−	0.102990i
$606$	1.51942	−	41.8787i	0.0617221	−	1.70121i
$607$	18.5486	−	10.7090i	0.752865	−	0.434667i	−0.0738631	−	0.997268i	$-0.523533\pi$
$607$	18.5486	−	10.7090i	0.752865	−	0.434667i	0.826728	+	0.562601i	$0.190199\pi$
$608$	0.342391	−	0.593039i	0.0138858	−	0.0240509i
$609$	0.976541	+	0.189565i	0.0395714	+	0.00768155i
$610$	2.04115	+	3.53537i	0.0826437	+	0.143143i
$611$	2.45439	+	1.41705i	0.0992942	+	0.0573275i
$612$	4.52865	+	0.329044i	0.183060	+	0.0133008i
$613$	−2.95306	−	5.11485i	−0.119273	−	0.206587i	0.800207	−	0.599724i	$-0.204723\pi$
$613$	−2.95306	−	5.11485i	−0.119273	−	0.206587i	−0.919480	+	0.393137i	$0.871390\pi$
$614$	−19.9481			−0.805039
$615$	4.76696	+	8.99481i	0.192222	+	0.362706i
$616$	4.08853	−	26.0859i	0.164732	−	1.05103i
$617$	−1.19246	−	0.688465i	−0.0480065	−	0.0277166i	0.475805	−	0.879551i	$-0.342157\pi$
$617$	−1.19246	−	0.688465i	−0.0480065	−	0.0277166i	−0.523811	+	0.851834i	$0.675490\pi$
$618$	−23.4277	+	37.3790i	−0.942400	+	1.50360i
$619$	29.2918	+	16.9116i	1.17734	+	0.679736i	0.955397	−	0.295324i	$-0.0954275\pi$
$619$	29.2918	+	16.9116i	1.17734	+	0.679736i	0.221941	+	0.975060i	$0.428761\pi$
$620$	1.23523	−	0.713163i	0.0496082	−	0.0286413i
$621$	0.264970	−	0.116680i	0.0106329	−	0.00468221i
$622$		−	31.0133i		−	1.24352i
$623$	6.40767	−	40.8826i	0.256718	−	1.63793i
$624$	0.826204	−	22.7721i	0.0330746	−	0.911615i
$625$	−8.16631	−	14.1445i	−0.326652	−	0.565779i
$626$	24.9308			0.996435
$627$	−1.53709	+	2.45243i	−0.0613854	+	0.0979407i
$628$		−	2.23977i		−	0.0893764i
$629$	33.9749			1.35467
$630$	2.70911	+	8.89631i	0.107934	+	0.354438i
$631$	−25.0205			−0.996049			−0.498024	−	0.867163i	$-0.665941\pi$
$631$	−25.0205			−0.996049			−0.498024	+	0.867163i	$0.665941\pi$
$632$			12.8857i			0.512567i
$633$	8.92531	+	0.323823i	0.354749	+	0.0128708i
$634$	−14.1434			−0.561707
$635$	−1.03059	−	1.78504i	−0.0408979	−	0.0708373i
$636$	−3.07160	−	1.92516i	−0.121797	−	0.0763374i
$637$	20.0837	−	4.33661i	0.795746	−	0.171823i
$638$		−	1.25982i		−	0.0498768i
$639$	8.70906	+	5.90884i	0.344525	+	0.233750i
$640$	8.79916	−	5.08020i	0.347817	−	0.200812i
$641$	9.25173	+	5.34149i	0.365421	+	0.210976i	0.671456	−	0.741044i	$-0.265669\pi$
$641$	9.25173	+	5.34149i	0.365421	+	0.210976i	−0.306035	+	0.952020i	$0.599002\pi$
$642$	10.1546	+	0.368421i	0.400769	+	0.0145404i
$643$	38.1128	+	22.0044i	1.50302	+	0.867771i	0.999994	+	0.00350106i	$0.00111442\pi$
$643$	38.1128	+	22.0044i	1.50302	+	0.867771i	0.503029	+	0.864270i	$0.332219\pi$
$644$	−0.0259604	+	0.0321643i	−0.00102298	+	0.00126745i
$645$	17.2627	+	0.626313i	0.679716	+	0.0246610i
$646$	−3.54431			−0.139449
$647$	−23.5043	−	40.7107i	−0.924050	−	1.60050i	−0.793082	−	0.609115i	$-0.791525\pi$
$647$	−23.5043	−	40.7107i	−0.924050	−	1.60050i	−0.130968	−	0.991387i	$-0.541808\pi$
$648$	−21.7165	+	8.63702i	−0.853105	+	0.339294i
$649$	10.3989	+	6.00380i	0.408192	+	0.235670i
$650$	−9.74704	−	16.8824i	−0.382310	−	0.662181i
$651$	−19.7059	+	22.6806i	−0.772334	+	0.888922i
$652$	−1.61287	+	2.79357i	−0.0631648	+	0.109405i
$653$	−29.3918	+	16.9694i	−1.15019	+	0.664063i	−0.948934	−	0.315475i	$-0.897836\pi$
$653$	−29.3918	+	16.9694i	−1.15019	+	0.664063i	−0.201257	+	0.979538i	$0.564503\pi$
$654$	5.68484	+	3.56303i	0.222295	+	0.139326i
$655$	−3.19515	+	5.53416i	−0.124845	+	0.216237i
$656$	16.9765	−	29.4041i	0.662820	−	1.14804i
$657$	1.77216	−	24.3903i	0.0691384	−	0.951554i
$658$	1.38827	+	3.59921i	0.0541203	+	0.140312i
$659$	−1.36652	+	0.788962i	−0.0532322	+	0.0307336i	−0.526380	−	0.850249i	$-0.676451\pi$
$659$	−1.36652	+	0.788962i	−0.0532322	+	0.0307336i	0.473148	+	0.880983i	$0.343118\pi$
$660$	1.27953	−	0.678108i	0.0498055	−	0.0263953i
$661$		−	2.40720i		−	0.0936293i	−0.998904	−	0.0468147i	$-0.985093\pi$
$661$		−	2.40720i		−	0.0936293i	0.998904	−	0.0468147i	$-0.0149070\pi$
$662$		−	43.5570i		−	1.69289i
$663$	−24.2485	+	12.8509i	−0.941733	+	0.499088i
$664$	19.3868	−	11.1930i	0.752354	−	0.434372i
$665$	−0.321205	−	0.832756i	−0.0124558	−	0.0322929i
$666$	25.6616	−	12.4298i	0.994366	−	0.481644i
$667$	0.00604760	−	0.0104747i	0.000234164	−	0.000405584i
$668$	−2.35031	+	4.07086i	−0.0909363	+	0.157506i
$669$	−6.43669	−	4.03426i	−0.248857	−	0.155974i
$670$	4.26344	−	2.46150i	0.164711	−	0.0950959i
$671$	−6.69529	+	11.5966i	−0.258469	+	0.447681i
$672$	4.73353	−	5.44808i	0.182600	−	0.210164i
$673$	12.1767	+	21.0906i	0.469377	+	0.812984i	0.999387	−	0.0350069i	$-0.0111453\pi$
$673$	12.1767	+	21.0906i	0.469377	+	0.812984i	−0.530010	+	0.847991i	$0.677812\pi$
$674$	16.3788	+	9.45629i	0.630887	+	0.364243i
$675$	−13.5078	+	18.4334i	−0.519914	+	0.709500i
$676$	0.614668	+	1.06464i	0.0236411	+	0.0409476i
$677$	−9.67694			−0.371915			−0.185958	−	0.982558i	$-0.559539\pi$
$677$	−9.67694			−0.371915			−0.185958	+	0.982558i	$0.559539\pi$
$678$	−29.5495	−	1.07210i	−1.13484	−	0.0411736i
$679$	2.38239	−	2.95172i	0.0914278	−	0.113277i
$680$	−9.41873	−	5.43791i	−0.361192	−	0.208534i
$681$	16.7447	+	0.607522i	0.641660	+	0.0232803i
$682$	32.9531	+	19.0255i	1.26184	+	0.728522i
$683$	−18.6341	+	10.7584i	−0.713012	+	0.411658i	−0.812175	−	0.583413i	$-0.801717\pi$
$683$	−18.6341	+	10.7584i	−0.713012	+	0.411658i	0.0991632	+	0.995071i	$0.468383\pi$
$684$	−0.329159	+	0.159436i	−0.0125857	+	0.00609617i
$685$		−	13.4437i		−	0.513659i
$686$	24.9802	+	12.5763i	0.953747	+	0.480166i
$687$	12.9930	+	8.14349i	0.495714	+	0.310694i
$688$	−28.8069	−	49.8951i	−1.09825	−	1.90223i
$689$	21.9098			0.834696
$690$	0.112998	+	0.00409973i	0.00430177	+	0.000156074i
$691$		−	29.4425i		−	1.12005i	−0.828477	−	0.560023i	$-0.810792\pi$
$691$		−	29.4425i		−	1.12005i	0.828477	−	0.560023i	$-0.189208\pi$
$692$	−0.480244			−0.0182561
$693$	−20.8286	+	22.2864i	−0.791213	+	0.846592i
$694$	43.3730			1.64642
$695$		−	4.90666i		−	0.186120i
$696$	−0.518515	+	0.827294i	−0.0196543	+	0.0313585i
$697$	−40.8907			−1.54885
$698$	9.66486	+	16.7400i	0.365820	+	0.633619i
$699$	0.809354	−	22.3077i	0.0306126	−	0.843754i
$700$	0.505189	−	3.22324i	0.0190944	−	0.121827i
$701$		−	40.4325i		−	1.52712i	−0.645740	−	0.763558i	$-0.723451\pi$
$701$		−	40.4325i		−	1.52712i	0.645740	−	0.763558i	$-0.276549\pi$
$702$	−13.6136	+	18.5778i	−0.513812	+	0.701173i
$703$	−2.37000	+	1.36832i	−0.0893863	+	0.0516072i
$704$	21.9203	+	12.6557i	0.826151	+	0.476979i
$705$	0.689093	−	1.09945i	0.0259527	−	0.0414078i
$706$	35.3077	+	20.3849i	1.32882	+	0.767197i
$707$	−6.56380	+	41.8787i	−0.246857	+	1.57501i
$708$	0.710525	+	1.34070i	0.0267032	+	0.0503864i
$709$	−15.9023			−0.597223			−0.298611	−	0.954375i	$-0.596523\pi$
$709$	−15.9023			−0.597223			−0.298611	+	0.954375i	$0.596523\pi$
$710$	2.05514	+	3.55960i	0.0771280	+	0.133590i
$711$	8.35799	−	12.3189i	0.313449	−	0.461994i
$712$	35.1743	+	20.3079i	1.31821	+	0.761070i
$713$	0.182658	+	0.316373i	0.00684061	+	0.0118483i
$714$	−36.6704	−	7.11841i	−1.37236	−	0.266400i
$715$	−4.37619	+	7.57978i	−0.163660	+	0.283468i
$716$	−3.48076	+	2.00962i	−0.130082	+	0.0751028i
$717$	−0.303418	+	8.36291i	−0.0113313	+	0.312319i
$718$	21.1572	−	36.6453i	0.789578	−	1.36759i
$719$	13.0488	−	22.6012i	0.486638	−	0.842883i	−0.513244	−	0.858243i	$-0.671556\pi$
$719$	13.0488	−	22.6012i	0.486638	−	0.842883i	0.999882	+	0.0153605i	$0.00488959\pi$
$720$	−10.4054	−	0.756037i	−0.387785	−	0.0281758i
$721$	28.0264	−	34.7239i	1.04376	−	1.29319i
$722$	−24.6006	+	14.2032i	−0.915539	+	0.528587i
$723$	0.630111	−	17.3673i	0.0234341	−	0.645898i
$724$			1.35468i			0.0503463i
$725$			0.954706i			0.0354569i
$726$	8.35540	+	5.23684i	0.310098	+	0.194357i
$727$	−3.74533	+	2.16237i	−0.138907	+	0.0801977i	−0.567843	−	0.823137i	$-0.692222\pi$
$727$	−3.74533	+	2.16237i	−0.138907	+	0.0801977i	0.428936	+	0.903335i	$0.358889\pi$
$728$	−3.12261	+	19.9231i	−0.115732	+	0.738398i
$729$	26.3633	+	5.82876i	0.976420	+	0.215880i
$730$	4.77535	−	8.27115i	0.176744	−	0.306129i
$731$	−34.6932	+	60.0904i	−1.28317	+	2.22252i
$732$	−1.49511	+	0.792360i	−0.0552609	+	0.0292865i
$733$	−36.6480	+	21.1587i	−1.35362	+	0.781515i	−0.988755	−	0.149544i	$-0.952219\pi$
$733$	−36.6480	+	21.1587i	−1.35362	+	0.781515i	−0.364869	+	0.931059i	$0.618886\pi$
$734$	−25.2475	+	43.7299i	−0.931901	+	1.61410i
$735$	−1.65077	−	9.26103i	−0.0608895	−	0.341598i
$736$	−0.0438762	−	0.0759958i	−0.00161730	−	0.00280124i
$737$	13.9847	+	8.07409i	0.515135	+	0.297413i
$738$	−30.8852	+	14.9599i	−1.13690	+	0.550683i
$739$	1.62120	+	2.80801i	0.0596369	+	0.103294i	0.894302	−	0.447463i	$-0.147672\pi$
$739$	1.62120	+	2.80801i	0.0596369	+	0.103294i	−0.834666	+	0.550757i	$0.814339\pi$
$740$	1.36922			0.0503336
$741$	1.17395	−	1.87304i	0.0431261	−	0.0688079i
$742$	23.2069	+	18.7308i	0.851953	+	0.687628i
$743$	5.41770	+	3.12791i	0.198756	+	0.114752i	0.596075	−	0.802929i	$-0.296726\pi$
$743$	5.41770	+	3.12791i	0.198756	+	0.114752i	−0.397319	+	0.917681i	$0.630059\pi$
$744$	−13.8090	−	26.0563i	−0.506263	−	0.955271i
$745$	8.61696	+	4.97500i	0.315701	+	0.182270i
$746$	10.4205	−	6.01626i	0.381520	−	0.220271i
$747$	−25.7940	−	1.87415i	−0.943753	−	0.0685716i
$748$			5.81678i			0.212682i
$749$	−10.1546	−	1.59156i	−0.371040	−	0.0581543i
$750$	−16.8516	+	8.93082i	−0.615334	+	0.326107i
$751$	9.45315	+	16.3733i	0.344950	+	0.597471i	0.985345	−	0.170575i	$-0.0545625\pi$
$751$	9.45315	+	16.3733i	0.344950	+	0.597471i	−0.640395	+	0.768046i	$0.721229\pi$
$752$	−4.32772			−0.157816
$753$	6.47398	+	12.2158i	0.235925	+	0.445169i
$754$			0.962186i			0.0350407i
$755$	4.07736			0.148390
$756$	−3.72578	+	0.988480i	−0.135505	+	0.0359507i
$757$	−40.7873			−1.48244			−0.741220	−	0.671262i	$-0.765752\pi$
$757$	−40.7873			−1.48244			−0.741220	+	0.671262i	$0.765752\pi$
$758$		−	5.86995i		−	0.213206i
$759$	0.173680	+	0.327718i	0.00630418	+	0.0118954i
$760$	0.876035			0.0317771
$761$	−21.3106	−	36.9110i	−0.772508	−	1.33802i	−0.936184	−	0.351509i	$-0.885669\pi$
$761$	−21.3106	−	36.9110i	−0.772508	−	1.33802i	0.163676	−	0.986514i	$-0.447665\pi$
$762$	6.13958	−	3.25378i	0.222413	−	0.117872i
$763$	−5.28104	−	4.26243i	−0.191186	−	0.154310i
$764$		−	0.881003i		−	0.0318736i
$765$	5.47724	+	11.3079i	0.198030	+	0.408838i
$766$	16.5866	−	9.57627i	0.599298	−	0.346005i
$767$	−7.94213	−	4.58539i	−0.286774	−	0.165569i
$768$	5.35565	+	10.1056i	0.193255	+	0.364655i
$769$	0.932209	+	0.538211i	0.0336163	+	0.0194084i	0.516714	−	0.856158i	$-0.327155\pi$
$769$	0.932209	+	0.538211i	0.0336163	+	0.0194084i	−0.483098	+	0.875566i	$0.660488\pi$
$770$	−11.1153	+	4.28731i	−0.400566	+	0.154504i
$771$	2.46729	−	3.93658i	0.0888573	−	0.141772i
$772$	−1.68517			−0.0606506
$773$	−2.96855	−	5.14169i	−0.106771	−	0.184934i	0.807689	−	0.589609i	$-0.200718\pi$
$773$	−2.96855	−	5.14169i	−0.106771	−	0.184934i	−0.914461	+	0.404675i	$0.867385\pi$
$774$	−4.21996	+	58.0794i	−0.151683	+	2.08762i
$775$	−24.9722	−	14.4177i	−0.897028	−	0.517899i
$776$	1.86150	+	3.22421i	0.0668240	+	0.115742i
$777$	−27.2688	+	9.39710i	−0.978263	+	0.337119i
$778$	15.5248	−	26.8898i	0.556592	−	0.964046i
$779$	2.85243	−	1.64685i	0.102199	−	0.0590046i
$780$	−0.977237	+	0.517904i	−0.0349907	+	0.0185439i
$781$	−6.74118	+	11.6761i	−0.241218	+	0.417802i
$782$	−0.227095	+	0.393341i	−0.00812091	+	0.0140658i
$783$	1.03231	−	0.454579i	0.0368917	−	0.0162453i
$784$	−23.2485	+	21.0691i	−0.830303	+	0.752466i
$785$	5.36746	−	3.09891i	0.191573	−	0.110605i
$786$	−18.2534	−	11.4405i	−0.651078	−	0.408070i
$787$			8.83847i			0.315057i	0.987514	+	0.157529i	$0.0503527\pi$
$787$			8.83847i			0.315057i	−0.987514	+	0.157529i	$0.949647\pi$
$788$		−	3.95069i		−	0.140738i
$789$	1.47177	−	40.5655i	0.0523964	−	1.44417i
$790$	5.03502	−	2.90697i	0.179138	−	0.103425i
$791$	29.5495	+	4.63139i	1.05066	+	0.164673i
$792$	−13.0515	−	26.9452i	−0.463766	−	0.957457i
$793$	5.11351	−	8.85687i	0.181586	−	0.314517i
$794$	11.3033	−	19.5778i	0.401138	−	0.694791i
$795$	0.363703	−	10.0245i	0.0128992	−	0.355533i
$796$	1.91850	−	1.10765i	0.0679994	−	0.0392595i
$797$	−19.0123	+	32.9303i	−0.673450	+	1.16645i	0.303469	+	0.952841i	$0.401855\pi$
$797$	−19.0123	+	32.9303i	−0.673450	+	1.16645i	−0.976919	+	0.213609i	$0.931478\pi$
$798$	2.84472	−	0.980319i	0.100702	−	0.0347029i
$799$	2.60601	+	4.51374i	0.0921940	+	0.159685i
$800$	5.99855	+	3.46326i	0.212081	+	0.122445i
$801$	−20.4548	−	42.2294i	−0.722733	−	1.49210i
$802$	−7.78939	−	13.4916i	−0.275053	−	0.476406i
$803$	31.3278			1.10553
$804$	0.955536	+	1.80301i	0.0336992	+	0.0635872i
$805$	−0.112998	−	0.0177106i	−0.00398266	−	0.000624216i
$806$	−25.1678	−	14.5307i	−0.886499	−	0.511821i
$807$	−3.66014	+	5.83978i	−0.128843	+	0.205570i
$808$	−36.0313	−	20.8027i	−1.26758	−	0.731836i
$809$	−14.6570	+	8.46222i	−0.515312	+	0.297516i	−0.735015	−	0.678051i	$-0.762825\pi$
$809$	−14.6570	+	8.46222i	−0.515312	+	0.297516i	0.219702	+	0.975567i	$0.429491\pi$
$810$	8.27402	+	6.53711i	0.290720	+	0.229691i
$811$		−	26.9840i		−	0.947536i	−0.880650	−	0.473768i	$-0.842894\pi$
$811$		−	26.9840i		−	0.947536i	0.880650	−	0.473768i	$-0.157106\pi$
$812$	−0.101141	+	0.125310i	−0.00354934	+	0.00439753i
$813$	−0.785360	+	21.6464i	−0.0275438	+	0.759172i
$814$	18.2637	+	31.6337i	0.640144	+	1.10876i
$815$	−8.92616			−0.312670
$816$	22.2554	−	35.5085i	0.779093	−	1.24305i
$817$		−	5.58899i		−	0.195534i
$818$	27.9668			0.977836
$819$	15.9078	−	17.0212i	0.555864	−	0.594770i
$820$	−1.64793			−0.0575484
$821$		−	32.0512i		−	1.11859i	−0.828967	−	0.559297i	$-0.811071\pi$
$821$		−	32.0512i		−	1.11859i	0.828967	−	0.559297i	$-0.188929\pi$
$822$	45.2905	+	1.64320i	1.57969	+	0.0573132i
$823$	20.7948			0.724863			0.362431	−	0.932011i	$-0.381947\pi$
$823$	20.7948			0.724863			0.362431	+	0.932011i	$0.381947\pi$
$824$	21.8986	+	37.9295i	0.762875	+	1.32134i
$825$	−24.8062	−	15.5475i	−0.863641	−	0.541296i
$826$	−4.49226	−	11.6466i	−0.156306	−	0.405238i
$827$			34.0792i			1.18505i	0.805552	+	0.592525i	$0.201869\pi$
$827$			34.0792i			1.18505i	−0.805552	+	0.592525i	$0.798131\pi$
$828$	−0.00339641	+	0.0467449i	−0.000118033	+	0.00162450i
$829$	−29.3229	+	16.9296i	−1.01843	+	0.587988i	−0.913648	−	0.406507i	$-0.866747\pi$
$829$	−29.3229	+	16.9296i	−1.01843	+	0.587988i	−0.104778	+	0.994496i	$0.533413\pi$
$830$	−8.74718	−	5.05019i	−0.303619	−	0.175295i
$831$	34.0833	+	1.23659i	1.18234	+	0.0428968i
$832$	−16.7416	−	9.66575i	−0.580410	−	0.335100i
$833$	35.9742	+	11.5607i	1.24643	+	0.400554i
$834$	16.5300	+	0.599731i	0.572387	+	0.0207670i
$835$	−13.0074			−0.450140
$836$	−0.234267	−	0.405763i	−0.00810231	−	0.0140336i
$837$	−3.69921	+	33.8669i	−0.127863	+	1.17061i
$838$	16.6788	+	9.62953i	0.576161	+	0.332647i
$839$	−11.7633	−	20.3747i	−0.406115	−	0.703412i	0.588335	−	0.808617i	$-0.299784\pi$
$839$	−11.7633	−	20.3747i	−0.406115	−	0.703412i	−0.994451	+	0.105205i	$0.966450\pi$
$840$	9.06369	+	1.75943i	0.312727	+	0.0607061i
$841$	−14.4764	+	25.0739i	−0.499188	+	0.864618i
$842$	17.7542	−	10.2504i	0.611852	−	0.353253i
$843$	11.9212	+	7.47171i	0.410586	+	0.257339i
$844$	−0.722895	+	1.25209i	−0.0248831	+	0.0430987i
$845$	−1.70089	+	2.94603i	−0.0585124	+	0.101347i
$846$	3.61971	+	2.45586i	0.124448	+	0.0844343i
$847$	−7.76191	−	6.26479i	−0.266702	−	0.215261i
$848$	−28.9743	+	16.7283i	−0.994983	+	0.574454i
$849$	2.05681	−	1.09004i	0.0705895	−	0.0374102i
$850$		−	35.8505i		−	1.22966i
$851$			0.350691i			0.0120215i
$852$	−1.50536	+	0.797791i	−0.0515727	+	0.0273319i
$853$	−39.7270	+	22.9364i	−1.36023	+	0.785328i	−0.989654	−	0.143475i	$-0.954172\pi$
$853$	−39.7270	+	22.9364i	−1.36023	+	0.785328i	−0.370574	+	0.928803i	$0.620839\pi$
$854$	12.9880	−	5.00966i	0.444441	−	0.171427i
$855$	−0.837497	−	0.568217i	−0.0286418	−	0.0194326i
$856$	5.04414	−	8.73670i	0.172405	−	0.298614i
$857$	9.12274	−	15.8010i	0.311627	−	0.539753i	−0.667088	−	0.744979i	$-0.732460\pi$
$857$	9.12274	−	15.8010i	0.311627	−	0.539753i	0.978715	+	0.205226i	$0.0657928\pi$
$858$	−25.0005	−	15.6693i	−0.853504	−	0.534943i
$859$	−5.03737	+	2.90833i	−0.171873	+	0.0992309i	−0.583469	−	0.812136i	$-0.698305\pi$
$859$	−5.03737	+	2.90833i	−0.171873	+	0.0992309i	0.411596	+	0.911367i	$0.364972\pi$
$860$	−1.39817	+	2.42170i	−0.0476771	+	0.0825792i
$861$	32.8195	−	11.3099i	1.11849	−	0.385442i
$862$	27.2950	+	47.2763i	0.929671	+	1.61024i
$863$	27.7060	+	15.9961i	0.943123	+	0.544513i	0.890938	−	0.454125i	$-0.150048\pi$
$863$	27.7060	+	15.9961i	0.943123	+	0.544513i	0.0521854	+	0.998637i	$0.483381\pi$
$864$	0.888583	−	8.13515i	0.0302302	−	0.276763i
$865$	−0.664458	−	1.15087i	−0.0225922	−	0.0391309i
$866$	−49.8460			−1.69384
$867$	−21.0108	−	0.762301i	−0.713564	−	0.0258891i
$868$	−1.75034	−	4.53793i	−0.0594104	−	0.154027i
$869$	16.5157	+	9.53533i	0.560256	+	0.323464i
$870$	0.440235	+	0.0159723i	0.0149254	+	0.000541513i
$871$	−10.6808	−	6.16658i	−0.361906	−	0.208946i
$872$	5.76857	−	3.33048i	0.195348	−	0.112784i
$873$	0.311689	−	4.28979i	0.0105491	−	0.145187i
$874$		−	0.0365846i		−	0.00123749i
$875$	17.9995	−	6.94265i	0.608494	−	0.234704i
$876$	3.35434	+	2.10237i	0.113333	+	0.0710324i
$877$	24.1949	+	41.9068i	0.817004	+	1.41509i	0.907880	+	0.419231i	$0.137700\pi$
$877$	24.1949	+	41.9068i	0.817004	+	1.41509i	−0.0908756	+	0.995862i	$0.528967\pi$
$878$	46.1512			1.55753
$879$	36.7992	+	1.33513i	1.24121	+	0.0450327i
$880$		−	13.3651i		−	0.450536i
$881$	−26.6822			−0.898946			−0.449473	−	0.893294i	$-0.648388\pi$
$881$	−26.6822			−0.898946			−0.449473	+	0.893294i	$0.648388\pi$
$882$	31.4011	−	4.42929i	1.05733	−	0.149142i
$883$	35.0484			1.17947			0.589737	−	0.807595i	$-0.299231\pi$
$883$	35.0484			1.17947			0.589737	+	0.807595i	$0.299231\pi$
$884$		−	4.44255i		−	0.149419i
$885$	−2.22982	+	3.55770i	−0.0749547	+	0.119591i
$886$	31.2629			1.05030
$887$	6.48380	+	11.2303i	0.217705	+	0.377076i	0.954106	−	0.299469i	$-0.0968096\pi$
$887$	6.48380	+	11.2303i	0.217705	+	0.377076i	−0.736401	+	0.676545i	$0.763476\pi$
$888$	1.02640	−	28.2901i	0.0344438	−	0.949353i
$889$	−6.55778	+	2.52943i	−0.219941	+	0.0848342i
$890$		−	18.3255i		−	0.614273i
$891$	−4.99992	+	34.2254i	−0.167504	+	1.14659i
$892$	1.06497	−	0.614862i	0.0356579	−	0.0205871i
$893$	−0.363577	−	0.209911i	−0.0121666	−	0.00702441i
$894$	−17.8135	+	28.4215i	−0.595771	+	0.950557i
$895$	−9.63184	−	5.56095i	−0.321957	−	0.185882i
$896$	−12.4685	−	32.3258i	−0.416544	−	1.07993i
$897$	−0.132648	−	0.250294i	−0.00442898	−	0.00835708i
$898$	−9.66828			−0.322635
$899$	0.711627	+	1.23257i	0.0237341	+	0.0411086i
$900$	−1.61268	−	3.32942i	−0.0537560	−	0.110981i
$901$	34.8948	+	20.1465i	1.16251	+	0.671178i
$902$	−21.9815	−	38.0730i	−0.731902	−	1.26769i
$903$	11.2250	−	57.8253i	0.373543	−	1.92430i
$904$	−14.6783	+	25.4236i	−0.488193	+	0.845576i
$905$	−3.24641	+	1.87431i	−0.107914	+	0.0623043i
$906$	−0.498368	+	13.7362i	−0.0165572	+	0.456354i
$907$	4.56307	−	7.90346i	0.151514	−	0.262430i	−0.780270	−	0.625443i	$-0.784918\pi$
$907$	4.56307	−	7.90346i	0.151514	−	0.262430i	0.931784	+	0.363012i	$0.118252\pi$
$908$	−1.35622	+	2.34904i	−0.0450077	+	0.0779557i
$909$	20.9531	+	43.2583i	0.694972	+	1.43479i
$910$	8.48926	−	3.27443i	0.281416	−	0.108546i
$911$	41.5720	−	24.0016i	1.37734	−	0.795209i	0.385503	−	0.922707i	$-0.374028\pi$
$911$	41.5720	−	24.0016i	1.37734	−	0.795209i	0.991839	+	0.127498i	$0.0406947\pi$
$912$	−0.122388	+	3.37331i	−0.00405268	+	0.111701i
$913$		−	33.1308i		−	1.09647i
$914$			4.75197i			0.157181i
$915$	−3.96746	−	2.48664i	−0.131160	−	0.0822059i
$916$	−2.14973	+	1.24115i	−0.0710292	+	0.0410087i
$917$	16.9569	+	13.6862i	0.559965	+	0.451959i
$918$	−38.7645	+	17.0701i	−1.27942	+	0.563396i
$919$	19.8096	−	34.3113i	0.653459	−	1.13182i	−0.328818	−	0.944393i	$-0.606650\pi$
$919$	19.8096	−	34.3113i	0.653459	−	1.13182i	0.982278	−	0.187432i	$-0.0600163\pi$
$920$	0.0561303	−	0.0972206i	0.00185056	−	0.00320527i
$921$	20.2165	−	10.7141i	0.666156	−	0.353041i
$922$	−19.4657	+	11.2385i	−0.641068	+	0.370121i
$923$	5.14856	−	8.91757i	0.169467	−	0.293526i
$924$	−1.60886	−	4.66864i	−0.0529276	−	0.153587i
$925$	−13.8405	−	23.9724i	−0.455072	−	0.788208i
$926$	−34.9480	−	20.1772i	−1.14846	−	0.663065i
$927$	3.66670	−	50.4649i	0.120430	−	1.65749i
$928$	−0.170939	−	0.296076i	−0.00561136	−	0.00971915i
$929$	−23.5795			−0.773618			−0.386809	−	0.922160i	$-0.626423\pi$
$929$	−23.5795			−0.773618			−0.386809	+	0.922160i	$0.626423\pi$
$930$	−7.06609	+	11.2740i	−0.231706	+	0.369689i
$931$	−2.97506	+	0.642395i	−0.0975038	+	0.0210537i
$932$	3.12944	+	1.80679i	0.102508	+	0.0591832i
$933$	16.6572	+	31.4306i	0.545333	+	1.02899i
$934$	−32.4243	−	18.7202i	−1.06096	−	0.612543i
$935$	−13.9396	+	8.04801i	−0.455872	+	0.263198i
$936$	9.96808	+	20.5794i	0.325817	+	0.672658i
$937$			52.5144i			1.71557i	0.514007	+	0.857786i	$0.328160\pi$
$937$			52.5144i			1.71557i	−0.514007	+	0.857786i	$0.671840\pi$
$938$	−6.04134	−	15.6627i	−0.197257	−	0.511407i
$939$	−25.2662	+	13.3903i	−0.824533	+	0.436976i
$940$	0.105025	+	0.181908i	0.00342553	+	0.00593319i
$941$	−49.1425			−1.60200			−0.801000	−	0.598664i	$-0.795698\pi$
$941$	−49.1425			−1.60200			−0.801000	+	0.598664i	$0.795698\pi$
$942$	9.78382	+	18.4612i	0.318774	+	0.601497i
$943$		−	0.422076i		−	0.0137447i
$944$	14.0040			0.455791
$945$	−7.52376	−	7.56095i	−0.244748	−	0.245958i
$946$	−74.5995			−2.42544
$947$		−	9.29426i		−	0.302023i	−0.988532	−	0.151012i	$-0.951747\pi$
$947$		−	9.29426i		−	0.302023i	0.988532	−	0.151012i	$-0.0482531\pi$
$948$	1.12847	+	2.12931i	0.0366509	+	0.0691569i
$949$	−23.9266			−0.776689
$950$	1.44386	+	2.50084i	0.0468450	+	0.0811379i
$951$	14.3337	−	7.59641i	0.464803	−	0.246330i
$952$	−23.2930	+	28.8593i	−0.754929	+	0.935337i
$953$		−	40.3761i		−	1.30791i	−0.756534	−	0.653955i	$-0.773109\pi$
$953$		−	40.3761i		−	1.30791i	0.756534	−	0.653955i	$-0.226891\pi$
$954$	33.7270	+	2.45055i	1.09195	+	0.0793395i
$955$	2.11127	−	1.21894i	0.0683191	−	0.0394440i
$956$	−1.17319	−	0.677344i	−0.0379438	−	0.0219069i
$957$	0.676648	+	1.27677i	0.0218729	+	0.0412722i
$958$	−16.3827	−	9.45854i	−0.529300	−	0.305592i
$959$	−45.2905	−	7.09853i	−1.46251	−	0.229224i
$960$	−4.70034	+	7.49943i	−0.151703	+	0.242043i
$961$	−11.9872			−0.386682
$962$	−13.9489	−	24.1602i	−0.449731	−	0.778957i
$963$	−10.4891	+	5.08062i	−0.338006	+	0.163721i
$964$	2.43638	+	1.40665i	0.0784706	+	0.0453050i
$965$	−2.33157	−	4.03840i	−0.0750560	−	0.130001i
$966$	0.0734766	−	0.378514i	0.00236407	−	0.0121785i
$967$	8.78620	−	15.2181i	0.282545	−	0.489383i	−0.689466	−	0.724318i	$-0.742155\pi$
$967$	8.78620	−	15.2181i	0.282545	−	0.489383i	0.972011	+	0.234936i	$0.0754879\pi$
$968$	8.47846	−	4.89504i	0.272508	−	0.157333i
$969$	3.59200	−	1.90365i	0.115392	−	0.0611539i
$970$	0.839894	−	1.45474i	0.0269674	−	0.0467089i
$971$	20.1321	−	34.8697i	0.646068	−	1.11902i	−0.337985	−	0.941151i	$-0.609745\pi$
$971$	20.1321	−	34.8697i	0.646068	−	1.11902i	0.984054	−	0.177872i	$-0.0569212\pi$
$972$	−2.83217	+	3.32905i	−0.0908420	+	0.106779i
$973$	−16.5300	−	2.59080i	−0.529928	−	0.0830573i
$974$	4.43986	−	2.56336i	0.142262	−	0.0821353i
$975$	18.9457	+	11.8744i	0.606748	+	0.380285i
$976$			15.6169i			0.499885i
$977$		−	26.5109i		−	0.848159i	−0.905625	−	0.424080i	$-0.860598\pi$
$977$		−	26.5109i		−	0.848159i	0.905625	−	0.424080i	$-0.139402\pi$
$978$	1.09103	−	30.0712i	0.0348872	−	0.961572i
$979$	52.0573	−	30.0553i	1.66376	−	0.960572i
$980$	1.44979	+	0.465907i	0.0463119	+	0.0148829i
$981$	−7.67503	−	0.557655i	−0.245045	−	0.0178046i
$982$	0.680195	−	1.17813i	0.0217059	−	0.0375957i
$983$	−19.1357	+	33.1440i	−0.610334	+	1.05713i	0.380850	+	0.924637i	$0.375632\pi$
$983$	−19.1357	+	33.1440i	−0.610334	+	1.05713i	−0.991184	+	0.132493i	$0.957702\pi$
$984$	−1.23533	+	34.0487i	−0.0393810	+	1.08543i
$985$	9.46759	−	5.46612i	0.301663	−	0.174165i
$986$	−0.884752	+	1.53243i	−0.0281762	+	0.0488027i
$987$	−3.34008	−	2.90201i	−0.106316	−	0.0923719i
$988$	0.178921	+	0.309901i	0.00569225	+	0.00985926i
$989$	−0.620255	−	0.358105i	−0.0197230	−	0.0113871i
$990$	−7.58431	+	11.1785i	−0.241045	+	0.355277i
$991$	30.4509	+	52.7425i	0.967305	+	1.67542i	0.703289	+	0.710904i	$0.251714\pi$
$991$	30.4509	+	52.7425i	0.967305	+	1.67542i	0.264016	+	0.964518i	$0.414953\pi$
$992$	10.3259			0.327848
$993$	23.3944	+	44.1431i	0.742399	+	1.40084i
$994$	13.0771	−	5.04400i	0.414779	−	0.159986i
$995$	5.30881	+	3.06504i	0.168301	+	0.0971684i
$996$	2.22337	−	3.54739i	0.0704500	−	0.112403i
$997$	12.4807	+	7.20573i	0.395267	+	0.228208i	0.684440	−	0.729069i	$-0.260047\pi$
$997$	12.4807	+	7.20573i	0.395267	+	0.228208i	−0.289173	+	0.957277i	$0.593380\pi$
$998$	−28.5996	+	16.5120i	−0.905306	+	0.522679i
$999$	−19.3309	+	26.3798i	−0.611601	+	0.834621i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	63.2.i.b.5.2	✓	10
3.2	odd	2		189.2.i.b.152.4		10
4.3	odd	2		1008.2.ca.b.257.2		10
7.2	even	3		441.2.o.d.293.2		10
7.3	odd	6		63.2.s.b.59.4	yes	10
7.4	even	3		441.2.s.b.374.4		10
7.5	odd	6		441.2.o.c.293.2		10
7.6	odd	2		441.2.i.b.68.2		10
9.2	odd	6		63.2.s.b.47.4	yes	10
9.4	even	3		567.2.p.d.404.4		10
9.5	odd	6		567.2.p.c.404.2		10
9.7	even	3		189.2.s.b.89.2		10
12.11	even	2		3024.2.ca.b.2609.3		10
21.2	odd	6		1323.2.o.c.881.4		10
21.5	even	6		1323.2.o.d.881.4		10
21.11	odd	6		1323.2.s.b.962.2		10
21.17	even	6		189.2.s.b.17.2		10
21.20	even	2		1323.2.i.b.1097.4		10
28.3	even	6		1008.2.df.b.689.4		10
36.7	odd	6		3024.2.df.b.1601.3		10
36.11	even	6		1008.2.df.b.929.4		10
63.2	odd	6		441.2.o.c.146.2		10
63.11	odd	6		441.2.i.b.227.4		10
63.16	even	3		1323.2.o.d.440.4		10
63.20	even	6		441.2.s.b.362.4		10
63.25	even	3		1323.2.i.b.521.2		10
63.31	odd	6		567.2.p.c.80.2		10
63.34	odd	6		1323.2.s.b.656.2		10
63.38	even	6	inner	63.2.i.b.38.4	yes	10
63.47	even	6		441.2.o.d.146.2		10
63.52	odd	6		189.2.i.b.143.2		10
63.59	even	6		567.2.p.d.80.4		10
63.61	odd	6		1323.2.o.c.440.4		10
84.59	odd	6		3024.2.df.b.17.3		10
252.115	even	6		3024.2.ca.b.2033.3		10
252.227	odd	6		1008.2.ca.b.353.2		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.i.b.5.2	✓	10	1.1	even	1	trivial
63.2.i.b.38.4	yes	10	63.38	even	6	inner
63.2.s.b.47.4	yes	10	9.2	odd	6
63.2.s.b.59.4	yes	10	7.3	odd	6
189.2.i.b.143.2		10	63.52	odd	6
189.2.i.b.152.4		10	3.2	odd	2
189.2.s.b.17.2		10	21.17	even	6
189.2.s.b.89.2		10	9.7	even	3
441.2.i.b.68.2		10	7.6	odd	2
441.2.i.b.227.4		10	63.11	odd	6
441.2.o.c.146.2		10	63.2	odd	6
441.2.o.c.293.2		10	7.5	odd	6
441.2.o.d.146.2		10	63.47	even	6
441.2.o.d.293.2		10	7.2	even	3
441.2.s.b.362.4		10	63.20	even	6
441.2.s.b.374.4		10	7.4	even	3
567.2.p.c.80.2		10	63.31	odd	6
567.2.p.c.404.2		10	9.5	odd	6
567.2.p.d.80.4		10	63.59	even	6
567.2.p.d.404.4		10	9.4	even	3
1008.2.ca.b.257.2		10	4.3	odd	2
1008.2.ca.b.353.2		10	252.227	odd	6
1008.2.df.b.689.4		10	28.3	even	6
1008.2.df.b.929.4		10	36.11	even	6
1323.2.i.b.521.2		10	63.25	even	3
1323.2.i.b.1097.4		10	21.20	even	2
1323.2.o.c.440.4		10	63.61	odd	6
1323.2.o.c.881.4		10	21.2	odd	6
1323.2.o.d.440.4		10	63.16	even	3
1323.2.o.d.881.4		10	21.5	even	6
1323.2.s.b.656.2		10	63.34	odd	6
1323.2.s.b.962.2		10	21.11	odd	6
3024.2.ca.b.2033.3		10	252.115	even	6
3024.2.ca.b.2609.3		10	12.11	even	2
3024.2.df.b.17.3		10	84.59	odd	6
3024.2.df.b.1601.3		10	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:	\( N \)	\(=\)	\( 63 = 3^{2} \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	63.i (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q-1.51009i q^{2} +(0.811070 + 1.53041i) q^{3} -0.280386 q^{4} +(-0.387938 - 0.671929i) q^{5} +(2.31107 - 1.22479i) q^{6} +(-2.46849 + 0.952131i) q^{7} -2.59678i q^{8} +(-1.68433 + 2.48254i) q^{9} +O(q^{10})\)	\(q-1.51009i q^{2} +(0.811070 + 1.53041i) q^{3} -0.280386 q^{4} +(-0.387938 - 0.671929i) q^{5} +(2.31107 - 1.22479i) q^{6} +(-2.46849 + 0.952131i) q^{7} -2.59678i q^{8} +(-1.68433 + 2.48254i) q^{9} +(-1.01468 + 0.585823i) q^{10} +(-3.32830 - 1.92159i) q^{11} +(-0.227413 - 0.429107i) q^{12} +(2.54198 + 1.46761i) q^{13} +(1.43781 + 3.72766i) q^{14} +(0.713684 - 1.13869i) q^{15} -4.48216 q^{16} +(2.69901 + 4.67482i) q^{17} +(3.74888 + 2.54350i) q^{18} +(-0.376551 - 0.217402i) q^{19} +(0.108773 + 0.188400i) q^{20} +(-3.45927 - 3.00557i) q^{21} +(-2.90179 + 5.02605i) q^{22} +(-0.0482537 + 0.0278593i) q^{23} +(3.97415 - 2.10617i) q^{24} +(2.19901 - 3.80879i) q^{25} +(2.21624 - 3.83863i) q^{26} +(-5.16543 - 0.564208i) q^{27} +(0.692131 - 0.266964i) q^{28} +(-0.187994 + 0.108538i) q^{29} +(-1.71953 - 1.07773i) q^{30} -6.55646i q^{31} +1.57492i q^{32} +(0.241352 - 6.65222i) q^{33} +(7.05942 - 4.07576i) q^{34} +(1.59739 + 1.28928i) q^{35} +(0.472264 - 0.696071i) q^{36} +(3.14698 - 5.45073i) q^{37} +(-0.328298 + 0.568628i) q^{38} +(-0.184332 + 5.08062i) q^{39} +(-1.74485 + 1.00739i) q^{40} +(-3.78757 + 6.56026i) q^{41} +(-4.53869 + 5.22383i) q^{42} +(6.42703 + 11.1319i) q^{43} +(0.933209 + 0.538789i) q^{44} +(2.32151 + 0.168677i) q^{45} +(0.0420702 + 0.0728677i) q^{46} +0.965544 q^{47} +(-3.63534 - 6.85955i) q^{48} +(5.18689 - 4.70065i) q^{49} +(-5.75164 - 3.32071i) q^{50} +(-4.96532 + 7.92220i) q^{51} +(-0.712737 - 0.411499i) q^{52} +(6.46438 - 3.73221i) q^{53} +(-0.852008 + 7.80029i) q^{54} +2.98184i q^{55} +(2.47247 + 6.41013i) q^{56} +(0.0273056 - 0.752608i) q^{57} +(0.163903 + 0.283889i) q^{58} -3.12439 q^{59} +(-0.200107 + 0.319272i) q^{60} -3.48424i q^{61} -9.90087 q^{62} +(1.79405 - 7.73184i) q^{63} -6.58603 q^{64} -2.27737i q^{65} +(-10.0455 - 0.364464i) q^{66} -4.20177 q^{67} +(-0.756765 - 1.31076i) q^{68} +(-0.0817733 - 0.0512523i) q^{69} +(1.94694 - 2.41220i) q^{70} -3.50812i q^{71} +(6.44662 + 4.37384i) q^{72} +(-7.05942 + 4.07576i) q^{73} +(-8.23112 - 4.75224i) q^{74} +(7.61258 + 0.276195i) q^{75} +(0.105580 + 0.0609566i) q^{76} +(10.0455 + 1.57446i) q^{77} +(7.67222 + 0.278359i) q^{78} -4.96220 q^{79} +(1.73880 + 3.01169i) q^{80} +(-3.32605 - 8.36286i) q^{81} +(9.90662 + 5.71959i) q^{82} +(4.31033 + 7.46571i) q^{83} +(0.969932 + 0.842720i) q^{84} +(2.09410 - 3.62708i) q^{85} +(16.8103 - 9.70542i) q^{86} +(-0.318585 - 0.199676i) q^{87} +(-4.98996 + 8.64286i) q^{88} +(-7.82041 + 13.5453i) q^{89} +(0.254718 - 3.50570i) q^{90} +(-7.67222 - 1.20249i) q^{91} +(0.0135297 - 0.00781136i) q^{92} +(10.0341 - 5.31775i) q^{93} -1.45806i q^{94} +0.337354i q^{95} +(-2.41028 + 1.27737i) q^{96} +(-1.24162 + 0.716849i) q^{97} +(-7.09843 - 7.83270i) q^{98} +(10.3764 - 5.02605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9}+O(q^{10}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9	\( 10 q - 3 q^{3} - 8 q^{4} + 12 q^{6} - 6 q^{7} + 3 q^{9} - 15 q^{10} - 12 q^{11} - 12 q^{12} - 6 q^{13} + 12 q^{14} - 3 q^{15} + 12 q^{16} + 12 q^{17} + 24 q^{18} + 3 q^{19} + 3 q^{20} - 9 q^{21} + 5 q^{22} - 15 q^{23} + 7 q^{25} - 3 q^{26} - 27 q^{27} + 2 q^{28} - 15 q^{29} + 6 q^{30} - 3 q^{34} + 15 q^{35} - 18 q^{36} + 6 q^{37} + 18 q^{38} + 18 q^{39} + 15 q^{40} + 9 q^{41} - 12 q^{42} + 3 q^{43} - 24 q^{44} + 30 q^{45} - 13 q^{46} + 30 q^{47} + 15 q^{48} + 4 q^{49} + 3 q^{50} + 21 q^{51} - 12 q^{52} + 9 q^{53} + 9 q^{54} - 30 q^{56} - 36 q^{57} + 8 q^{58} - 36 q^{59} - 48 q^{60} - 12 q^{62} - 15 q^{63} + 6 q^{64} - 39 q^{66} + 20 q^{67} - 27 q^{68} + 3 q^{69} + 6 q^{70} - 30 q^{72} + 3 q^{73} - 30 q^{74} + 6 q^{75} - 9 q^{76} + 39 q^{77} + 24 q^{78} - 40 q^{79} + 30 q^{80} + 15 q^{81} + 9 q^{82} + 15 q^{83} + 93 q^{84} + 18 q^{85} + 54 q^{86} + 6 q^{87} - 8 q^{88} - 24 q^{89} - 24 q^{90} - 24 q^{91} + 39 q^{92} + 36 q^{93} + 33 q^{96} - 6 q^{97} - 45 q^{98} + 21 q^{99}+O(q^{100}) \) 10 * q - 3 * q^3 - 8 * q^4 + 12 * q^6 - 6 * q^7 + 3 * q^9 - 15 * q^10 - 12 * q^11 - 12 * q^12 - 6 * q^13 + 12 * q^14 - 3 * q^15 + 12 * q^16 + 12 * q^17 + 24 * q^18 + 3 * q^19 + 3 * q^20 - 9 * q^21 + 5 * q^22 - 15 * q^23 + 7 * q^25 - 3 * q^26 - 27 * q^27 + 2 * q^28 - 15 * q^29 + 6 * q^30 - 3 * q^34 + 15 * q^35 - 18 * q^36 + 6 * q^37 + 18 * q^38 + 18 * q^39 + 15 * q^40 + 9 * q^41 - 12 * q^42 + 3 * q^43 - 24 * q^44 + 30 * q^45 - 13 * q^46 + 30 * q^47 + 15 * q^48 + 4 * q^49 + 3 * q^50 + 21 * q^51 - 12 * q^52 + 9 * q^53 + 9 * q^54 - 30 * q^56 - 36 * q^57 + 8 * q^58 - 36 * q^59 - 48 * q^60 - 12 * q^62 - 15 * q^63 + 6 * q^64 - 39 * q^66 + 20 * q^67 - 27 * q^68 + 3 * q^69 + 6 * q^70 - 30 * q^72 + 3 * q^73 - 30 * q^74 + 6 * q^75 - 9 * q^76 + 39 * q^77 + 24 * q^78 - 40 * q^79 + 30 * q^80 + 15 * q^81 + 9 * q^82 + 15 * q^83 + 93 * q^84 + 18 * q^85 + 54 * q^86 + 6 * q^87 - 8 * q^88 - 24 * q^89 - 24 * q^90 - 24 * q^91 + 39 * q^92 + 36 * q^93 + 33 * q^96 - 6 * q^97 - 45 * q^98 + 21 * q^99

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