LMFDB - Embedded newform 63.2.i.b.38.4

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			38.4
Root			$-1.04536 - 1.81062i$ of defining polynomial
Character	$\chi$	$=$	63.38
Dual form			63.2.i.b.5.2

$q$-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 $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{1}{6}\right)$	$e\left(\frac{1}{6}\right)$

Coefficient data

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

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

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

$2$			1.51009i			1.06780i	0.845548	+	0.533899i	$0.179274\pi$
$2$			1.51009i			1.06780i	−0.845548	+	0.533899i	$0.820726\pi$
$3$	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	−0.939638	−	0.342170i	$-0.888838\pi$
$5$	−0.387938	+	0.671929i	−0.173491	+	0.300496i	0.766147	+	0.642666i	$0.222171\pi$
$6$	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	−0.909288	−	0.416168i	$-0.863373\pi$
$11$	−3.32830	+	1.92159i	−1.00352	+	0.579382i	−0.0942318	+	0.995550i	$0.530039\pi$
$12$	−0.227413	+	0.429107i	−0.0656484	+	0.123873i
$13$	2.54198	−	1.46761i	0.705019	−	0.407043i	−0.104195	−	0.994557i	$-0.533227\pi$
$13$	2.54198	−	1.46761i	0.705019	−	0.407043i	0.809214	+	0.587514i	$0.199893\pi$
$14$	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	−0.327387	−	0.944890i	$-0.606168\pi$
$17$	2.69901	−	4.67482i	0.654606	−	1.13381i	0.981993	−	0.188920i	$-0.0604986\pi$
$18$	3.74888	−	2.54350i	0.883619	−	0.599509i
$19$	−0.376551	+	0.217402i	−0.0863868	+	0.0498755i	−0.542571	−	0.840010i	$-0.682549\pi$
$19$	−0.376551	+	0.217402i	−0.0863868	+	0.0498755i	0.456184	+	0.889885i	$0.349216\pi$
$20$	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	0.494961	−	0.868915i	$-0.335182\pi$
$23$	−0.0482537	−	0.0278593i	−0.0100616	−	0.00580906i	−0.505022	+	0.863106i	$0.668516\pi$
$24$	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	0.482444	−	0.875927i	$-0.339749\pi$
$29$	−0.187994	−	0.108538i	−0.0349096	−	0.0201551i	−0.517353	+	0.855772i	$0.673083\pi$
$30$	−1.71953	+	1.07773i	−0.313941	+	0.196766i
$31$			6.55646i			1.17757i	0.808288	+	0.588787i	$0.200394\pi$
$31$			6.55646i			1.17757i	−0.808288	+	0.588787i	$0.799606\pi$
$32$		−	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	0.999797	+	0.0201636i	$0.00641872\pi$
$37$	3.14698	+	5.45073i	0.517361	+	0.896095i	−0.482436	+	0.875931i	$0.660248\pi$
$38$	−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	−0.994028	−	0.109125i	$-0.965195\pi$
$41$	−3.78757	−	6.56026i	−0.591519	−	1.02454i	0.402509	−	0.915416i	$-0.368138\pi$
$42$	−4.53869	−	5.22383i	−0.700335	−	0.806054i
$43$	6.42703	−	11.1319i	0.980112	−	1.69760i	0.318198	−	0.948024i	$-0.396922\pi$
$43$	6.42703	−	11.1319i	0.980112	−	1.69760i	0.661914	−	0.749580i	$-0.269745\pi$
$44$	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	0.873272	−	0.487234i	$-0.161994\pi$
$53$	6.46438	+	3.73221i	0.887950	+	0.512658i	0.0146788	+	0.999892i	$0.495327\pi$
$54$	−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	$0.0716031\pi$
$61$			3.48424i			0.446111i	−0.974806	+	0.223055i	$0.928397\pi$
$62$	−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	$0.0667503\pi$
$71$			3.50812i			0.416337i	−0.978093	+	0.208169i	$0.933250\pi$
$72$	6.44662	−	4.37384i	0.759742	−	0.515462i
$73$	−7.05942	−	4.07576i	−0.826243	−	0.477031i	0.0263219	−	0.999654i	$-0.491621\pi$
$73$	−7.05942	−	4.07576i	−0.826243	−	0.477031i	−0.852564	+	0.522622i	$0.824954\pi$
$74$	−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	−0.526406	−	0.850233i	$-0.676461\pi$
$83$	4.31033	−	7.46571i	0.473120	−	0.819469i	0.999527	+	0.0307645i	$0.00979420\pi$
$84$	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	−0.898853	−	0.438249i	$-0.855599\pi$
$89$	−7.82041	−	13.5453i	−0.828962	−	1.43580i	0.0698916	−	0.997555i	$-0.477735\pi$
$90$	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	0.435640	−	0.900121i	$-0.356522\pi$
$97$	−1.24162	−	0.716849i	−0.126067	−	0.0727850i	−0.561708	+	0.827336i	$0.689855\pi$
$98$	−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	0.921484	+	0.388416i	$0.126977\pi$
$101$	8.01096	+	13.8754i	0.797120	+	1.38065i	−0.124364	+	0.992237i	$0.539689\pi$
$102$	11.9633	−	7.49811i	1.18454	−	0.742423i
$103$	−14.6064	−	8.43299i	−1.43921	−	0.830928i	−0.441414	−	0.897303i	$-0.645523\pi$
$103$	−14.6064	−	8.43299i	−1.43921	−	0.830928i	−0.997795	+	0.0663758i	$0.978856\pi$
$104$	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	−0.328479	−	0.944511i	$-0.606536\pi$
$107$	3.36444	−	1.94246i	0.325253	−	0.187785i	0.653731	+	0.756727i	$0.273203\pi$
$108$	1.44832	−	0.158196i	0.139364	−	0.0152224i
$109$	1.28254	−	2.22143i	0.122845	−	0.212774i	−0.798043	−	0.602600i	$-0.794131\pi$
$109$	1.28254	−	2.22143i	0.122845	−	0.212774i	0.920889	+	0.389826i	$0.127465\pi$
$110$	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	−0.883956	−	0.467570i	$-0.845129\pi$
$113$	−9.79043	+	5.65251i	−0.921006	+	0.531743i	−0.0370501	+	0.999313i	$0.511796\pi$
$114$	−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	−0.987927	−	0.154918i	$-0.950489\pi$
$131$	−4.11811	+	7.13278i	−0.359801	+	0.623194i	0.628126	+	0.778111i	$0.283822\pi$
$132$	−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	0.304811	−	0.952413i	$-0.401407\pi$
$137$	15.0058	−	8.66359i	1.28203	−	0.740180i	0.977219	+	0.212233i	$0.0680735\pi$
$138$	−0.0773958	−	0.123485i	−0.00658837	−	0.0105118i
$139$	5.47677	−	3.16201i	0.464533	−	0.268198i	−0.249415	−	0.968397i	$-0.580238\pi$
$139$	5.47677	−	3.16201i	0.464533	−	0.268198i	0.713949	+	0.700198i	$0.246905\pi$
$140$	−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	−0.0294650	−	0.999566i	$-0.509380\pi$
$149$	−11.1061	−	6.41211i	−0.909847	−	0.525300i	−0.880382	+	0.474265i	$0.842714\pi$
$150$	0.417080	+	11.4957i	0.0340545	+	0.938621i
$151$	−2.62759	−	4.55111i	−0.213830	−	0.370364i	0.739080	−	0.673618i	$-0.235260\pi$
$151$	−2.62759	−	4.55111i	−0.213830	−	0.370364i	−0.952910	+	0.303253i	$0.901927\pi$
$152$	−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	$-0.896733\pi$
$157$		−	7.98815i		−	0.637523i	0.947835	−	0.318762i	$-0.103267\pi$
$158$		−	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	0.998421	−	0.0561817i	$-0.0178926\pi$
$163$	5.75231	+	9.96329i	0.450556	+	0.780385i	−0.547865	+	0.836567i	$0.684559\pi$
$164$	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	0.983446	+	0.181204i	$0.0579994\pi$
$167$	8.38240	+	14.5187i	0.648650	+	1.12349i	−0.334796	+	0.942291i	$0.608667\pi$
$168$	−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	0.886139	−	0.463419i	$-0.153377\pi$
$179$	12.4141	+	7.16731i	0.927877	+	0.535710i	0.0417372	+	0.999129i	$0.486711\pi$
$180$	−0.650919	+	0.0472948i	−0.0485167	+	0.00352514i
$181$			4.83147i			0.359121i	0.983747	+	0.179560i	$0.0574675\pi$
$181$			4.83147i			0.359121i	−0.983747	+	0.179560i	$0.942532\pi$
$182$	−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	$-0.963737\pi$
$191$		−	3.14210i		−	0.227355i	0.993518	−	0.113677i	$-0.0362630\pi$
$192$	−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	$-0.832619\pi$
$197$		−	14.0902i		−	1.00388i	0.864901	−	0.501942i	$-0.167381\pi$
$198$	−7.58980	+	15.6693i	−0.539384	+	1.11357i
$199$	−6.84234	−	3.95043i	−0.485041	−	0.280038i	0.237474	−	0.971394i	$-0.423681\pi$
$199$	−6.84234	−	3.95043i	−0.485041	−	0.280038i	−0.722515	+	0.691355i	$0.757014\pi$
$200$	−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	0.941021	−	0.338349i	$-0.109868\pi$
$211$	2.57821	+	4.46559i	0.177491	+	0.307424i	−0.763529	+	0.645773i	$0.776535\pi$
$212$	−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	0.367405	−	0.930061i	$-0.380246\pi$
$223$	−3.79823	−	2.19291i	−0.254348	−	0.146848i	−0.621754	+	0.783213i	$0.713580\pi$
$224$	−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	0.980703	−	0.195503i	$-0.0626340\pi$
$227$	4.83697	+	8.37788i	0.321041	+	0.556059i	−0.659662	+	0.751562i	$0.729301\pi$
$228$	−0.00765613	−	0.211021i	−0.000507039	−	0.0139752i
$229$	7.66705	+	4.42657i	0.506653	+	0.292516i	0.731457	−	0.681888i	$-0.238841\pi$
$229$	7.66705	+	4.42657i	0.506653	+	0.292516i	−0.224804	+	0.974404i	$0.572174\pi$
$230$	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	−0.818859	−	0.573995i	$-0.805393\pi$
$233$	−11.1612	+	6.44391i	−0.731194	+	0.422155i	0.0876651	+	0.996150i	$0.472059\pi$
$234$	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	−0.358531	−	0.933518i	$-0.616722\pi$
$239$	4.18421	−	2.41575i	0.270654	−	0.156262i	0.629185	+	0.777256i	$0.283389\pi$
$240$	−3.19884	−	5.10377i	−0.206484	−	0.329447i
$241$	−8.68938	+	5.01681i	−0.559732	+	0.323161i	−0.753038	−	0.657977i	$-0.771412\pi$
$241$	−8.68938	+	5.01681i	−0.559732	+	0.323161i	0.193306	+	0.981139i	$0.438079\pi$
$242$	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	−0.904819	−	0.425797i	$-0.859994\pi$
$257$	−1.34115	+	2.32294i	−0.0836585	+	0.144901i	0.821160	+	0.570698i	$0.193327\pi$
$258$	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	−0.971409	−	0.237411i	$-0.923701\pi$
$263$	−20.2961	+	11.7179i	−1.25151	+	0.722560i	−0.280101	+	0.959971i	$0.590368\pi$
$264$	−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	−0.798978	−	0.601361i	$-0.794625\pi$
$269$	1.98955	−	3.44600i	0.121305	−	0.210106i	0.920283	+	0.391254i	$0.127959\pi$
$270$	5.57176	+	2.45354i	0.339087	+	0.149318i
$271$	10.8303	−	6.25288i	0.657895	−	0.379836i	−0.133580	−	0.991038i	$-0.542647\pi$
$271$	10.8303	−	6.25288i	0.657895	−	0.379836i	0.791474	+	0.611202i	$0.209314\pi$
$272$	−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	0.994023	+	0.109172i	$0.0348199\pi$
$277$	9.84547	+	17.0529i	0.591557	+	1.02461i	−0.402466	+	0.915435i	$0.631847\pi$
$278$	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	0.694926	−	0.719081i	$-0.255437\pi$
$281$	7.03456	+	4.06141i	0.419647	+	0.242283i	−0.275279	+	0.961364i	$0.588770\pi$
$282$	2.23144	+	1.18259i	0.132880	+	0.0704222i
$283$			1.34396i			0.0798899i	0.999202	+	0.0399450i	$0.0127183\pi$
$283$			1.34396i			0.0798899i	−0.999202	+	0.0399450i	$0.987282\pi$
$284$		−	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	0.989298	+	0.145912i	$0.0466116\pi$
$293$	10.6300	+	18.4117i	0.621012	+	1.07562i	−0.368285	+	0.929713i	$0.620055\pi$
$294$	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	$0.123031\pi$
$307$			13.2098i			0.753925i	−0.926229	+	0.376962i	$0.876969\pi$
$308$	−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	$-0.845485\pi$
$313$		−	16.5094i		−	0.933168i	0.884477	−	0.466584i	$-0.154515\pi$
$314$	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	$0.0847188\pi$
$317$			9.36591i			0.526042i	−0.964790	+	0.263021i	$0.915281\pi$
$318$	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	0.643525	−	0.765425i	$-0.277471\pi$
$337$	−6.26205	−	10.8462i	−0.341116	−	0.590829i	−0.984640	+	0.174596i	$0.944138\pi$
$338$	−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	$-0.719787\pi$
$347$		−	28.7220i		−	1.54188i	0.636908	−	0.770939i	$-0.280213\pi$
$348$	0.0893268	−	0.0559865i	0.00478842	−	0.00300119i
$349$	−11.0854	−	6.40017i	−0.593389	−	0.342593i	0.173048	−	0.984913i	$-0.444639\pi$
$349$	−11.0854	−	6.40017i	−0.593389	−	0.342593i	−0.766436	+	0.642320i	$0.777972\pi$
$350$	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	−0.961600	−	0.274455i	$-0.911502\pi$
$353$	−13.4991	−	23.3811i	−0.718485	−	1.24445i	0.243115	−	0.969998i	$-0.421831\pi$
$354$	−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	0.303770	−	0.952745i	$-0.401755\pi$
$359$	24.2669	−	14.0105i	1.28076	−	0.739445i	0.976987	+	0.213300i	$0.0684212\pi$
$360$	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	−0.511706	+	0.859160i	$0.670986\pi$
$367$	−28.9584	+	16.7191i	−1.51161	+	0.872731i	−0.999908	+	0.0135705i	$0.995680\pi$
$368$	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	−0.744256	−	0.667894i	$-0.767196\pi$
$373$	3.98403	−	6.90053i	0.206285	−	0.357296i	0.950541	+	0.310598i	$0.100529\pi$
$374$	−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	−0.657281	−	0.753646i	$-0.728294\pi$
$383$	6.34150	−	10.9838i	0.324036	−	0.561246i	0.981317	+	0.192399i	$0.0616269\pi$
$384$	−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	0.0247163	−	0.999695i	$-0.492132\pi$
$389$	17.8067	−	10.2807i	0.902835	−	0.521252i	0.878119	+	0.478442i	$0.158798\pi$
$390$	−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	−0.138039	−	0.990427i	$-0.544080\pi$
$397$	12.9646	−	7.48513i	0.650676	−	0.375668i	0.788715	+	0.614759i	$0.210747\pi$
$398$	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	0.706206	−	0.708007i	$-0.250405\pi$
$401$	8.93429	+	5.15821i	0.446157	+	0.257589i	−0.260049	+	0.965595i	$0.583739\pi$
$402$	−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	$-0.848611\pi$
$409$		−	18.5199i		−	0.915750i	0.889017	−	0.457875i	$-0.151389\pi$
$410$			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	0.667167	−	0.744908i	$-0.267507\pi$
$419$	−6.37677	−	11.0449i	−0.311526	−	0.539578i	−0.978693	+	0.205330i	$0.934173\pi$
$420$	0.189974	+	0.978649i	0.00926978	+	0.0477532i
$421$	6.78793	−	11.7570i	0.330824	−	0.573003i	−0.651850	−	0.758348i	$-0.726007\pi$
$421$	6.78793	−	11.7570i	0.330824	−	0.573003i	0.982674	+	0.185345i	$0.0593402\pi$
$422$	−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	−0.999957	−	0.00931038i	$-0.997036\pi$
$431$	−31.3069	−	18.0750i	−1.50800	−	0.870643i	−0.508041	−	0.861333i	$-0.669630\pi$
$432$	23.1523	−	2.52887i	1.11391	−	0.121670i
$433$			33.0085i			1.58629i	0.609034	+	0.793144i	$0.291557\pi$
$433$			33.0085i			1.58629i	−0.609034	+	0.793144i	$0.708443\pi$
$434$	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	$-0.739838\pi$
$439$		−	30.5618i		−	1.45863i	0.684176	−	0.729317i	$-0.260162\pi$
$440$	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	$-0.836337\pi$
$443$		−	20.7026i		−	0.983612i	0.870705	−	0.491806i	$-0.163663\pi$
$444$	−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	$0.0482734\pi$
$449$			6.40243i			0.302150i	−0.988522	+	0.151075i	$0.951727\pi$
$450$	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	−0.985647	−	0.168821i	$-0.946004\pi$
$461$	−7.44225	+	12.8904i	−0.346620	+	0.600364i	0.639026	+	0.769185i	$0.279337\pi$
$462$	25.1442	+	8.66493i	1.16981	+	0.403129i
$463$	13.3616	+	23.1429i	0.620964	+	1.07554i	0.989307	+	0.145851i	$0.0465921\pi$
$463$	13.3616	+	23.1429i	0.620964	+	1.07554i	−0.368342	+	0.929690i	$0.620075\pi$
$464$	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	0.996187	+	0.0872454i	$0.0278064\pi$
$467$	12.3967	+	21.4717i	0.573650	+	0.993591i	−0.422537	+	0.906346i	$0.638860\pi$
$468$	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	0.972897	−	0.231240i	$-0.0742783\pi$
$479$	6.26354	+	10.8488i	0.286189	+	0.495693i	−0.686708	+	0.726933i	$0.740945\pi$
$480$	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	−0.824999	−	0.565133i	$-0.808825\pi$
$487$	1.69748	−	2.94012i	0.0769202	−	0.133230i	0.901920	+	0.431904i	$0.142158\pi$
$488$	−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	−0.482292	−	0.876010i	$-0.660196\pi$
$491$	0.780171	−	0.450432i	0.0352086	−	0.0203277i	0.517501	+	0.855683i	$0.326862\pi$
$492$	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	−0.999927	−	0.0120916i	$-0.996151\pi$
$499$	−10.9344	+	18.9390i	−0.489492	+	0.847825i	0.510435	+	0.859916i	$0.329484\pi$
$500$	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	0.312111	+	0.950046i	$0.398964\pi$
$509$	−15.0416	+	26.0528i	−0.666708	+	1.15477i	−0.978819	+	0.204727i	$0.934369\pi$
$510$	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	−0.967099	−	0.254401i	$-0.918122\pi$
$521$	−6.00837	+	10.4068i	−0.263231	+	0.455930i	0.703867	+	0.710331i	$0.251455\pi$
$522$	−0.980833	+	0.0712658i	−0.0429299	+	0.00311922i
$523$	−16.1185	+	9.30602i	−0.704813	+	0.406924i	−0.809137	−	0.587620i	$-0.800065\pi$
$523$	−16.1185	+	9.30602i	−0.704813	+	0.406924i	0.104325	+	0.994543i	$0.466732\pi$
$524$	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	−0.816562	−	0.577258i	$-0.804123\pi$
$541$	−21.1242	−	36.5882i	−0.908201	−	1.57305i	−0.0916391	−	0.995792i	$-0.529211\pi$
$542$	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	−0.975223	−	0.221223i	$-0.928995\pi$
$547$	−6.92349	+	11.9918i	−0.296027	+	0.512734i	0.679196	+	0.733957i	$0.262329\pi$
$548$	−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	0.949809	−	0.312831i	$-0.101277\pi$
$557$	27.2305	+	15.7215i	1.15379	+	0.666143i	0.203985	+	0.978974i	$0.434611\pi$
$558$	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	$0.157904\pi$
$569$			22.7074i			0.951944i	−0.879461	+	0.475972i	$0.842096\pi$
$570$	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	0.213699	−	0.976899i	$-0.431449\pi$
$577$	−12.6222	−	7.28745i	−0.525471	−	0.303381i	−0.739170	+	0.673519i	$0.764782\pi$
$578$	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	−0.365991	−	0.930619i	$-0.619270\pi$
$587$	15.0927	−	26.1414i	0.622944	−	1.07897i	0.988935	−	0.148352i	$-0.0473969\pi$
$588$	−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	−0.987966	−	0.154669i	$-0.950569\pi$
$593$	−15.2911	−	26.4850i	−0.627930	−	1.08761i	0.360036	−	0.932938i	$-0.382764\pi$
$594$	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	$-0.982430\pi$
$599$		−	2.70052i		−	0.110340i	0.998477	−	0.0551701i	$-0.0175701\pi$
$600$	0.717217	+	19.7682i	0.0292803	+	0.807033i
$601$	21.0197	+	12.1357i	0.857411	+	0.495026i	0.863144	−	0.504957i	$-0.168492\pi$
$601$	21.0197	+	12.1357i	0.857411	+	0.495026i	−0.00573343	+	0.999984i	$0.501825\pi$
$602$	−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	0.826728	−	0.562601i	$-0.190199\pi$
$607$	18.5486	+	10.7090i	0.752865	+	0.434667i	−0.0738631	+	0.997268i	$0.523533\pi$
$608$	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	−0.919480	−	0.393137i	$-0.871390\pi$
$613$	−2.95306	+	5.11485i	−0.119273	+	0.206587i	0.800207	+	0.599724i	$0.204723\pi$
$614$	−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	−0.523811	−	0.851834i	$-0.675490\pi$
$617$	−1.19246	+	0.688465i	−0.0480065	+	0.0277166i	0.475805	+	0.879551i	$0.342157\pi$
$618$	−23.4277	−	37.3790i	−0.942400	−	1.50360i
$619$	29.2918	−	16.9116i	1.17734	−	0.679736i	0.221941	−	0.975060i	$-0.428761\pi$
$619$	29.2918	−	16.9116i	1.17734	−	0.679736i	0.955397	+	0.295324i	$0.0954275\pi$
$620$	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	−0.306035	−	0.952020i	$-0.599002\pi$
$641$	9.25173	−	5.34149i	0.365421	−	0.210976i	0.671456	+	0.741044i	$0.265669\pi$
$642$	10.1546	−	0.368421i	0.400769	−	0.0145404i
$643$	38.1128	−	22.0044i	1.50302	−	0.867771i	0.503029	−	0.864270i	$-0.332219\pi$
$643$	38.1128	−	22.0044i	1.50302	−	0.867771i	0.999994	−	0.00350106i	$-0.00111442\pi$
$644$	−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	−0.130968	+	0.991387i	$0.541808\pi$
$647$	−23.5043	+	40.7107i	−0.924050	+	1.60050i	−0.793082	+	0.609115i	$0.791525\pi$
$648$	−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	−0.201257	−	0.979538i	$-0.564503\pi$
$653$	−29.3918	−	16.9694i	−1.15019	−	0.664063i	−0.948934	+	0.315475i	$0.897836\pi$
$654$	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	0.473148	−	0.880983i	$-0.343118\pi$
$659$	−1.36652	−	0.788962i	−0.0532322	−	0.0307336i	−0.526380	+	0.850249i	$0.676451\pi$
$660$	1.27953	+	0.678108i	0.0498055	+	0.0263953i
$661$			2.40720i			0.0936293i	0.998904	+	0.0468147i	$0.0149070\pi$
$661$			2.40720i			0.0936293i	−0.998904	+	0.0468147i	$0.985093\pi$
$662$			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	−0.530010	−	0.847991i	$-0.677812\pi$
$673$	12.1767	−	21.0906i	0.469377	−	0.812984i	0.999387	+	0.0350069i	$0.0111453\pi$
$674$	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	0.0991632	−	0.995071i	$-0.468383\pi$
$683$	−18.6341	−	10.7584i	−0.713012	−	0.411658i	−0.812175	+	0.583413i	$0.801717\pi$
$684$	−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	$0.189208\pi$
$691$			29.4425i			1.12005i	−0.828477	+	0.560023i	$0.810792\pi$
$692$	−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	$0.276549\pi$
$701$			40.4325i			1.52712i	−0.645740	+	0.763558i	$0.723451\pi$
$702$	−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	0.999882	−	0.0153605i	$-0.00488959\pi$
$719$	13.0488	+	22.6012i	0.486638	+	0.842883i	−0.513244	+	0.858243i	$0.671556\pi$
$720$	−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	0.428936	−	0.903335i	$-0.358889\pi$
$727$	−3.74533	−	2.16237i	−0.138907	−	0.0801977i	−0.567843	+	0.823137i	$0.692222\pi$
$728$	−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	−0.364869	−	0.931059i	$-0.618886\pi$
$733$	−36.6480	−	21.1587i	−1.35362	−	0.781515i	−0.988755	+	0.149544i	$0.952219\pi$
$734$	−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	−0.834666	−	0.550757i	$-0.814339\pi$
$739$	1.62120	−	2.80801i	0.0596369	−	0.103294i	0.894302	+	0.447463i	$0.147672\pi$
$740$	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	−0.397319	−	0.917681i	$-0.630059\pi$
$743$	5.41770	−	3.12791i	0.198756	−	0.114752i	0.596075	+	0.802929i	$0.296726\pi$
$744$	−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	−0.640395	−	0.768046i	$-0.721229\pi$
$751$	9.45315	−	16.3733i	0.344950	−	0.597471i	0.985345	+	0.170575i	$0.0545625\pi$
$752$	−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	0.163676	+	0.986514i	$0.447665\pi$
$761$	−21.3106	+	36.9110i	−0.772508	+	1.33802i	−0.936184	+	0.351509i	$0.885669\pi$
$762$	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	−0.483098	−	0.875566i	$-0.660488\pi$
$769$	0.932209	−	0.538211i	0.0336163	−	0.0194084i	0.516714	+	0.856158i	$0.327155\pi$
$770$	−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	−0.914461	−	0.404675i	$-0.867385\pi$
$773$	−2.96855	+	5.14169i	−0.106771	+	0.184934i	0.807689	+	0.589609i	$0.200718\pi$
$774$	−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	$-0.949647\pi$
$787$		−	8.83847i		−	0.315057i	0.987514	−	0.157529i	$-0.0503527\pi$
$788$			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	−0.976919	−	0.213609i	$-0.931478\pi$
$797$	−19.0123	−	32.9303i	−0.673450	−	1.16645i	0.303469	−	0.952841i	$-0.401855\pi$
$798$	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	0.219702	−	0.975567i	$-0.429491\pi$
$809$	−14.6570	−	8.46222i	−0.515312	−	0.297516i	−0.735015	+	0.678051i	$0.762825\pi$
$810$	8.27402	−	6.53711i	0.290720	−	0.229691i
$811$			26.9840i			0.947536i	0.880650	+	0.473768i	$0.157106\pi$
$811$			26.9840i			0.947536i	−0.880650	+	0.473768i	$0.842894\pi$
$812$	−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	$0.188929\pi$
$821$			32.0512i			1.11859i	−0.828967	+	0.559297i	$0.811071\pi$
$822$	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	$-0.798131\pi$
$827$		−	34.0792i		−	1.18505i	0.805552	−	0.592525i	$-0.201869\pi$
$828$	−0.00339641	−	0.0467449i	−0.000118033	−	0.00162450i
$829$	−29.3229	−	16.9296i	−1.01843	−	0.587988i	−0.104778	−	0.994496i	$-0.533413\pi$
$829$	−29.3229	−	16.9296i	−1.01843	−	0.587988i	−0.913648	+	0.406507i	$0.866747\pi$
$830$	−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	−0.994451	−	0.105205i	$-0.966450\pi$
$839$	−11.7633	+	20.3747i	−0.406115	+	0.703412i	0.588335	+	0.808617i	$0.299784\pi$
$840$	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	−0.370574	−	0.928803i	$-0.620839\pi$
$853$	−39.7270	−	22.9364i	−1.36023	−	0.785328i	−0.989654	+	0.143475i	$0.954172\pi$
$854$	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	0.978715	−	0.205226i	$-0.0657928\pi$
$857$	9.12274	+	15.8010i	0.311627	+	0.539753i	−0.667088	+	0.744979i	$0.732460\pi$
$858$	−25.0005	+	15.6693i	−0.853504	+	0.534943i
$859$	−5.03737	−	2.90833i	−0.171873	−	0.0992309i	0.411596	−	0.911367i	$-0.364972\pi$
$859$	−5.03737	−	2.90833i	−0.171873	−	0.0992309i	−0.583469	+	0.812136i	$0.698305\pi$
$860$	−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	0.0521854	−	0.998637i	$-0.483381\pi$
$863$	27.7060	−	15.9961i	0.943123	−	0.544513i	0.890938	+	0.454125i	$0.150048\pi$
$864$	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	−0.0908756	−	0.995862i	$-0.528967\pi$
$877$	24.1949	−	41.9068i	0.817004	−	1.41509i	0.907880	−	0.419231i	$-0.137700\pi$
$878$	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	−0.736401	−	0.676545i	$-0.763476\pi$
$887$	6.48380	−	11.2303i	0.217705	−	0.377076i	0.954106	+	0.299469i	$0.0968096\pi$
$888$	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	0.931784	−	0.363012i	$-0.118252\pi$
$907$	4.56307	+	7.90346i	0.151514	+	0.262430i	−0.780270	+	0.625443i	$0.784918\pi$
$908$	−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	0.991839	−	0.127498i	$-0.0406947\pi$
$911$	41.5720	+	24.0016i	1.37734	+	0.795209i	0.385503	+	0.922707i	$0.374028\pi$
$912$	−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	0.982278	+	0.187432i	$0.0600163\pi$
$919$	19.8096	+	34.3113i	0.653459	+	1.13182i	−0.328818	+	0.944393i	$0.606650\pi$
$920$	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	$-0.671840\pi$
$937$		−	52.5144i		−	1.71557i	0.514007	−	0.857786i	$-0.328160\pi$
$938$	−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	$0.0482531\pi$
$947$			9.29426i			0.302023i	−0.988532	+	0.151012i	$0.951747\pi$
$948$	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	$0.226891\pi$
$953$			40.3761i			1.30791i	−0.756534	+	0.653955i	$0.773109\pi$
$954$	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	0.972011	−	0.234936i	$-0.0754879\pi$
$967$	8.78620	+	15.2181i	0.282545	+	0.489383i	−0.689466	+	0.724318i	$0.742155\pi$
$968$	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	0.984054	+	0.177872i	$0.0569212\pi$
$971$	20.1321	+	34.8697i	0.646068	+	1.11902i	−0.337985	+	0.941151i	$0.609745\pi$
$972$	−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	$0.139402\pi$
$977$			26.5109i			0.848159i	−0.905625	+	0.424080i	$0.860598\pi$
$978$	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	−0.991184	−	0.132493i	$-0.957702\pi$
$983$	−19.1357	−	33.1440i	−0.610334	−	1.05713i	0.380850	−	0.924637i	$-0.375632\pi$
$984$	−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	0.264016	−	0.964518i	$-0.414953\pi$
$991$	30.4509	−	52.7425i	0.967305	−	1.67542i	0.703289	−	0.710904i	$-0.251714\pi$
$992$	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	−0.289173	−	0.957277i	$-0.593380\pi$
$997$	12.4807	−	7.20573i	0.395267	−	0.228208i	0.684440	+	0.729069i	$0.260047\pi$
$998$	−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.38.4	yes	10
3.2	odd	2		189.2.i.b.143.2		10
4.3	odd	2		1008.2.ca.b.353.2		10
7.2	even	3		441.2.s.b.362.4		10
7.3	odd	6		441.2.o.c.146.2		10
7.4	even	3		441.2.o.d.146.2		10
7.5	odd	6		63.2.s.b.47.4	yes	10
7.6	odd	2		441.2.i.b.227.4		10
9.2	odd	6		567.2.p.c.80.2		10
9.4	even	3		189.2.s.b.17.2		10
9.5	odd	6		63.2.s.b.59.4	yes	10
9.7	even	3		567.2.p.d.80.4		10
12.11	even	2		3024.2.ca.b.2033.3		10
21.2	odd	6		1323.2.s.b.656.2		10
21.5	even	6		189.2.s.b.89.2		10
21.11	odd	6		1323.2.o.c.440.4		10
21.17	even	6		1323.2.o.d.440.4		10
21.20	even	2		1323.2.i.b.521.2		10
28.19	even	6		1008.2.df.b.929.4		10
36.23	even	6		1008.2.df.b.689.4		10
36.31	odd	6		3024.2.df.b.17.3		10
63.4	even	3		1323.2.o.d.881.4		10
63.5	even	6	inner	63.2.i.b.5.2	✓	10
63.13	odd	6		1323.2.s.b.962.2		10
63.23	odd	6		441.2.i.b.68.2		10
63.31	odd	6		1323.2.o.c.881.4		10
63.32	odd	6		441.2.o.c.293.2		10
63.40	odd	6		189.2.i.b.152.4		10
63.41	even	6		441.2.s.b.374.4		10
63.47	even	6		567.2.p.d.404.4		10
63.58	even	3		1323.2.i.b.1097.4		10
63.59	even	6		441.2.o.d.293.2		10
63.61	odd	6		567.2.p.c.404.2		10
84.47	odd	6		3024.2.df.b.1601.3		10
252.103	even	6		3024.2.ca.b.2609.3		10
252.131	odd	6		1008.2.ca.b.257.2		10

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.i.b.5.2	✓	10	63.5	even	6	inner
63.2.i.b.38.4	yes	10	1.1	even	1	trivial
63.2.s.b.47.4	yes	10	7.5	odd	6
63.2.s.b.59.4	yes	10	9.5	odd	6
189.2.i.b.143.2		10	3.2	odd	2
189.2.i.b.152.4		10	63.40	odd	6
189.2.s.b.17.2		10	9.4	even	3
189.2.s.b.89.2		10	21.5	even	6
441.2.i.b.68.2		10	63.23	odd	6
441.2.i.b.227.4		10	7.6	odd	2
441.2.o.c.146.2		10	7.3	odd	6
441.2.o.c.293.2		10	63.32	odd	6
441.2.o.d.146.2		10	7.4	even	3
441.2.o.d.293.2		10	63.59	even	6
441.2.s.b.362.4		10	7.2	even	3
441.2.s.b.374.4		10	63.41	even	6
567.2.p.c.80.2		10	9.2	odd	6
567.2.p.c.404.2		10	63.61	odd	6
567.2.p.d.80.4		10	9.7	even	3
567.2.p.d.404.4		10	63.47	even	6
1008.2.ca.b.257.2		10	252.131	odd	6
1008.2.ca.b.353.2		10	4.3	odd	2
1008.2.df.b.689.4		10	36.23	even	6
1008.2.df.b.929.4		10	28.19	even	6
1323.2.i.b.521.2		10	21.20	even	2
1323.2.i.b.1097.4		10	63.58	even	3
1323.2.o.c.440.4		10	21.11	odd	6
1323.2.o.c.881.4		10	63.31	odd	6
1323.2.o.d.440.4		10	21.17	even	6
1323.2.o.d.881.4		10	63.4	even	3
1323.2.s.b.656.2		10	21.2	odd	6
1323.2.s.b.962.2		10	63.13	odd	6
3024.2.ca.b.2033.3		10	12.11	even	2
3024.2.ca.b.2609.3		10	252.103	even	6
3024.2.df.b.17.3		10	36.31	odd	6
3024.2.df.b.1601.3		10	84.47	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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