LMFDB - Embedded newform 63.2.s.b.47.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [63,2,Mod(47,63)]

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([1, 5]))

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

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

chi := DirichletCharacter("63.47");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 63 = 3^{2} \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	63.s (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:	$\Z[a_1, \ldots, a_{5}]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			47.4
Root			$-1.04536 + 1.81062i$ of defining polynomial
Character	$\chi$	$=$	63.47
Dual form			63.2.s.b.59.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.30778 - 0.755047i) q^{2} +(-0.919842 - 1.46761i) q^{3} +(0.140193 - 0.242822i) q^{4} -0.775876 q^{5} +(-2.31107 - 1.22479i) q^{6} +(2.05881 + 1.66171i) q^{7} +2.59678i q^{8} +(-1.30778 + 2.69995i) q^{9} +O(q^{10})$	\(q+(1.30778 - 0.755047i) q^{2} +(-0.919842 - 1.46761i) q^{3} +(0.140193 - 0.242822i) q^{4} -0.775876 q^{5} +(-2.31107 - 1.22479i) q^{6} +(2.05881 + 1.66171i) q^{7} +2.59678i q^{8} +(-1.30778 + 2.69995i) q^{9} +(-1.01468 + 0.585823i) q^{10} -3.84319i q^{11} +(-0.485324 + 0.0176082i) q^{12} +(-2.54198 + 1.46761i) q^{13} +(3.94715 + 0.618650i) q^{14} +(0.713684 + 1.13869i) q^{15} +(2.24108 + 3.88166i) q^{16} +(-2.69901 - 4.67482i) q^{17} +(0.328298 + 4.51837i) q^{18} +(-0.376551 - 0.217402i) q^{19} +(-0.108773 + 0.188400i) q^{20} +(0.544964 - 4.55006i) q^{21} +(-2.90179 - 5.02605i) q^{22} +0.0557186i q^{23} +(3.81107 - 2.38863i) q^{24} -4.39802 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} +(1.79310 + 0.950287i) q^{30} +(5.67806 + 3.27823i) q^{31} +(1.36392 + 0.787461i) q^{32} +(-5.64031 + 3.53513i) 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} -0.656595 q^{38} +(4.49211 + 2.38067i) q^{39} -2.01478i q^{40} +(3.78757 + 6.56026i) q^{41} +(-2.72281 - 6.36195i) q^{42} +(6.42703 - 11.1319i) q^{43} +(-0.933209 - 0.538789i) q^{44} +(1.01468 - 2.09482i) q^{45} +(0.0420702 + 0.0728677i) q^{46} +(0.482772 + 0.836186i) q^{47} +(3.63534 - 6.85955i) q^{48} +(1.47744 + 6.84231i) q^{49} +(-5.75164 + 3.32071i) q^{50} +(-4.37817 + 8.26120i) q^{51} +0.822998i q^{52} +(-6.46438 + 3.73221i) q^{53} +(6.32924 - 4.63800i) q^{54} +2.98184i q^{55} +(-4.31510 + 5.34629i) q^{56} +(0.0273056 + 0.752608i) q^{57} -0.327806 q^{58} +(-1.56219 + 2.70580i) q^{59} +(0.376551 - 0.0136618i) q^{60} +(-3.01744 + 1.74212i) q^{61} +9.90087 q^{62} +(-7.17901 + 3.38554i) q^{63} -6.58603 q^{64} +(1.97226 - 1.13869i) q^{65} +(-4.70711 + 8.88187i) q^{66} +(2.10088 - 3.63884i) q^{67} -1.51353 q^{68} +(0.0817733 - 0.0512523i) q^{69} +(-3.06250 - 0.479996i) q^{70} +3.50812i q^{71} +(-7.01117 - 3.39602i) q^{72} +(-7.05942 + 4.07576i) q^{73} -9.50448i q^{74} +(4.04548 + 6.45459i) q^{75} +(-0.105580 + 0.0609566i) q^{76} +(6.38626 - 7.91241i) q^{77} +(7.67222 - 0.278359i) q^{78} +(2.48110 + 4.29739i) q^{79} +(-1.73880 - 3.01169i) q^{80} +(-5.57942 - 7.06187i) q^{81} +(9.90662 + 5.71959i) q^{82} +(-4.31033 + 7.46571i) q^{83} +(-1.02845 - 0.770216i) q^{84} +(2.09410 + 3.62708i) q^{85} -19.4108i q^{86} +(0.0136324 + 0.375740i) q^{87} +9.97991 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} +(-0.411745 - 11.3487i) q^{93} +(1.26272 + 0.729031i) q^{94} +(0.292157 + 0.168677i) q^{95} +(-0.0989048 - 2.72605i) 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 + 4 q^{4} - 12 q^{6} + 3 q^{7}+O(q^{10}) $ 10 * q + 4 * q^4 - 12 * q^6 + 3 * q^7	$ 10 q + 4 q^{4} - 12 q^{6} + 3 q^{7} - 15 q^{10} + 6 q^{13} - 6 q^{14} - 3 q^{15} - 6 q^{16} - 12 q^{17} - 18 q^{18} + 3 q^{19} - 3 q^{20} + 18 q^{21} + 5 q^{22} + 27 q^{24} - 14 q^{25} + 3 q^{26} + 27 q^{27} + 2 q^{28} - 15 q^{29} - 9 q^{31} + 48 q^{32} - 9 q^{33} + 3 q^{34} - 15 q^{35} - 18 q^{36} + 6 q^{37} + 36 q^{38} + 12 q^{39} - 9 q^{41} - 6 q^{42} + 3 q^{43} + 24 q^{44} + 15 q^{45} - 13 q^{46} + 15 q^{47} - 15 q^{48} - 23 q^{49} + 3 q^{50} - 24 q^{51} - 9 q^{53} + 27 q^{54} - 51 q^{56} - 36 q^{57} - 16 q^{58} - 18 q^{59} - 3 q^{60} + 12 q^{61} + 12 q^{62} + 9 q^{63} + 6 q^{64} - 3 q^{65} - 33 q^{66} - 10 q^{67} - 54 q^{68} - 3 q^{69} + 9 q^{70} + 18 q^{72} + 3 q^{73} - 21 q^{75} + 9 q^{76} + 45 q^{77} + 24 q^{78} + 20 q^{79} - 30 q^{80} - 48 q^{81} + 9 q^{82} - 15 q^{83} + 60 q^{84} + 18 q^{85} + 30 q^{87} + 16 q^{88} + 24 q^{89} + 24 q^{90} - 24 q^{91} + 39 q^{92} + 6 q^{93} - 3 q^{94} + 3 q^{96} + 6 q^{97} + 45 q^{98} + 21 q^{99}+O(q^{100}) $ 10 * q + 4 * q^4 - 12 * q^6 + 3 * q^7 - 15 * q^10 + 6 * q^13 - 6 * q^14 - 3 * q^15 - 6 * q^16 - 12 * q^17 - 18 * q^18 + 3 * q^19 - 3 * q^20 + 18 * q^21 + 5 * q^22 + 27 * q^24 - 14 * q^25 + 3 * q^26 + 27 * q^27 + 2 * q^28 - 15 * q^29 - 9 * q^31 + 48 * q^32 - 9 * q^33 + 3 * q^34 - 15 * q^35 - 18 * q^36 + 6 * q^37 + 36 * q^38 + 12 * q^39 - 9 * q^41 - 6 * q^42 + 3 * q^43 + 24 * q^44 + 15 * q^45 - 13 * q^46 + 15 * q^47 - 15 * q^48 - 23 * q^49 + 3 * q^50 - 24 * q^51 - 9 * q^53 + 27 * q^54 - 51 * q^56 - 36 * q^57 - 16 * q^58 - 18 * q^59 - 3 * q^60 + 12 * q^61 + 12 * q^62 + 9 * q^63 + 6 * q^64 - 3 * q^65 - 33 * q^66 - 10 * q^67 - 54 * q^68 - 3 * q^69 + 9 * q^70 + 18 * q^72 + 3 * q^73 - 21 * q^75 + 9 * q^76 + 45 * q^77 + 24 * q^78 + 20 * q^79 - 30 * q^80 - 48 * q^81 + 9 * q^82 - 15 * q^83 + 60 * q^84 + 18 * q^85 + 30 * q^87 + 16 * q^88 + 24 * q^89 + 24 * q^90 - 24 * q^91 + 39 * q^92 + 6 * q^93 - 3 * q^94 + 3 * 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 $\left(\mathbb{Z}/63\mathbb{Z}\right)^\times$.

$n$	$10$	$29$
$\chi(n)$	$e\left(\frac{5}{6}\right)$	$e\left(\frac{1}{6}\right)$

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 $

$2$	1.30778	−	0.755047i	0.924740	−	0.533899i	0.0395961	−	0.999216i	$-0.487393\pi$
$2$	1.30778	−	0.755047i	0.924740	−	0.533899i	0.885144	+	0.465317i	$0.154060\pi$
$3$	−0.919842	−	1.46761i	−0.531071	−	0.847327i
$3$	−0.919842	−	1.46761i	−0.531071	−	0.847327i
$4$	0.140193	−	0.242822i	0.0700966	−	0.121411i
$5$	−0.775876			−0.346982			−0.173491	−	0.984835i	$-0.555505\pi$
$5$	−0.775876			−0.346982			−0.173491	+	0.984835i	$0.555505\pi$
$6$	−2.31107	−	1.22479i	−0.943490	−	0.500019i
$7$	2.05881	+	1.66171i	0.778159	+	0.628068i
$7$	2.05881	+	1.66171i	0.778159	+	0.628068i
$8$			2.59678i			0.918100i
$9$	−1.30778	+	2.69995i	−0.435927	+	0.899982i
$10$	−1.01468	+	0.585823i	−0.320869	+	0.185254i
$11$		−	3.84319i		−	1.15876i	−0.815056	−	0.579382i	$-0.803294\pi$
$11$		−	3.84319i		−	1.15876i	0.815056	−	0.579382i	$-0.196706\pi$
$12$	−0.485324	+	0.0176082i	−0.140101	+	0.00508306i
$13$	−2.54198	+	1.46761i	−0.705019	+	0.407043i	−0.809214	−	0.587514i	$-0.800107\pi$
$13$	−2.54198	+	1.46761i	−0.705019	+	0.407043i	0.104195	+	0.994557i	$0.466773\pi$
$14$	3.94715	+	0.618650i	1.05492	+	0.165341i
$15$	0.713684	+	1.13869i	0.184272	+	0.294008i
$16$	2.24108	+	3.88166i	0.560270	+	0.970415i
$17$	−2.69901	−	4.67482i	−0.654606	−	1.13381i	−0.981993	−	0.188920i	$-0.939501\pi$
$17$	−2.69901	−	4.67482i	−0.654606	−	1.13381i	0.327387	−	0.944890i	$-0.393832\pi$
$18$	0.328298	+	4.51837i	0.0773805	+	1.06499i
$19$	−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
$21$	0.544964	−	4.55006i	0.118921	−	0.992904i
$22$	−2.90179	−	5.02605i	−0.618663	−	1.07156i
$23$			0.0557186i			0.0116181i	0.999983	+	0.00580906i	$0.00184909\pi$
$23$			0.0557186i			0.0116181i	−0.999983	+	0.00580906i	$0.998151\pi$
$24$	3.81107	−	2.38863i	0.777931	−	0.487577i
$25$	−4.39802			−0.879603
$26$	−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	$0.673083\pi$
$30$	1.79310	+	0.950287i	0.327375	+	0.173498i
$31$	5.67806	+	3.27823i	1.01981	+	0.588787i	0.914049	−	0.405604i	$-0.132939\pi$
$31$	5.67806	+	3.27823i	1.01981	+	0.588787i	0.105761	+	0.994392i	$0.466272\pi$
$32$	1.36392	+	0.787461i	0.241110	+	0.139205i
$33$	−5.64031	+	3.53513i	−0.981853	+	0.615386i
$34$	−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	$-0.00641872\pi$
$38$	−0.656595			−0.106514
$39$	4.49211	+	2.38067i	0.719314	+	0.381213i
$40$		−	2.01478i		−	0.318565i
$41$	3.78757	+	6.56026i	0.591519	+	1.02454i	0.994028	+	0.109125i	$0.0348049\pi$
$41$	3.78757	+	6.56026i	0.591519	+	1.02454i	−0.402509	+	0.915416i	$0.631862\pi$
$42$	−2.72281	−	6.36195i	−0.420139	−	0.981670i
$43$	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
$45$	1.01468	−	2.09482i	0.151259	−	0.312278i
$46$	0.0420702	+	0.0728677i	0.00620291	+	0.0107437i
$47$	0.482772	+	0.836186i	0.0704195	+	0.121970i	0.899085	−	0.437774i	$-0.144233\pi$
$47$	0.482772	+	0.836186i	0.0704195	+	0.121970i	−0.828666	+	0.559744i	$0.810900\pi$
$48$	3.63534	−	6.85955i	0.524716	−	0.990091i
$49$	1.47744	+	6.84231i	0.211062	+	0.977473i
$50$	−5.75164	+	3.32071i	−0.813405	+	0.469619i
$51$	−4.37817	+	8.26120i	−0.613066	+	1.15680i
$52$			0.822998i			0.114129i
$53$	−6.46438	+	3.73221i	−0.887950	+	0.512658i	−0.873272	−	0.487234i	$-0.838006\pi$
$53$	−6.46438	+	3.73221i	−0.887950	+	0.512658i	−0.0146788	+	0.999892i	$0.504673\pi$
$54$	6.32924	−	4.63800i	0.861301	−	0.631153i
$55$			2.98184i			0.402071i
$56$	−4.31510	+	5.34629i	−0.576629	+	0.714428i
$57$	0.0273056	+	0.752608i	0.00361672	+	0.0996853i
$58$	−0.327806			−0.0430431
$59$	−1.56219	+	2.70580i	−0.203380	+	0.352265i	−0.949615	−	0.313418i	$-0.898526\pi$
$59$	−1.56219	+	2.70580i	−0.203380	+	0.352265i	0.746235	+	0.665682i	$0.231859\pi$
$60$	0.376551	−	0.0136618i	0.0486126	−	0.00176373i
$61$	−3.01744	+	1.74212i	−0.386343	+	0.223055i	−0.680575	−	0.732679i	$-0.738270\pi$
$61$	−3.01744	+	1.74212i	−0.386343	+	0.223055i	0.294231	+	0.955734i	$0.404936\pi$
$62$	9.90087			1.25741
$63$	−7.17901	+	3.38554i	−0.904470	+	0.426538i
$64$	−6.58603			−0.823254
$65$	1.97226	−	1.13869i	0.244629	−	0.141237i
$66$	−4.70711	+	8.88187i	−0.579405	+	1.09328i
$67$	2.10088	−	3.63884i	0.256664	−	0.444555i	−0.708682	−	0.705528i	$-0.750710\pi$
$67$	2.10088	−	3.63884i	0.256664	−	0.444555i	0.965346	+	0.260973i	$0.0840433\pi$
$68$	−1.51353			−0.183542
$69$	0.0817733	−	0.0512523i	0.00984435	−	0.00617005i
$70$	−3.06250	−	0.479996i	−0.366039	−	0.0573705i
$71$			3.50812i			0.416337i	0.978093	+	0.208169i	$0.0667503\pi$
$71$			3.50812i			0.416337i	−0.978093	+	0.208169i	$0.933250\pi$
$72$	−7.01117	−	3.39602i	−0.826274	−	0.400225i
$73$	−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	$0.491621\pi$
$74$		−	9.50448i		−	1.10487i
$75$	4.04548	+	6.45459i	0.467132	+	0.745312i
$76$	−0.105580	+	0.0609566i	−0.0121108	+	0.00699220i
$77$	6.38626	−	7.91241i	0.727782	−	0.901703i
$78$	7.67222	−	0.278359i	0.868708	−	0.0315179i
$79$	2.48110	+	4.29739i	0.279145	+	0.483494i	0.971173	−	0.238377i	$-0.0766155\pi$
$79$	2.48110	+	4.29739i	0.279145	+	0.483494i	−0.692027	+	0.721871i	$0.743282\pi$
$80$	−1.73880	−	3.01169i	−0.194404	−	0.336717i
$81$	−5.57942	−	7.06187i	−0.619936	−	0.784653i
$82$	9.90662	+	5.71959i	1.09400	+	0.631623i
$83$	−4.31033	+	7.46571i	−0.473120	+	0.819469i	−0.999527	−	0.0307645i	$-0.990206\pi$
$83$	−4.31033	+	7.46571i	−0.473120	+	0.819469i	0.526406	+	0.850233i	$0.323539\pi$
$84$	−1.02845	−	0.770216i	−0.112213	−	0.0840374i
$85$	2.09410	+	3.62708i	0.227137	+	0.393412i
$86$		−	19.4108i		−	2.09312i
$87$	0.0136324	+	0.375740i	0.00146154	+	0.0402836i
$88$	9.97991			1.06386
$89$	7.82041	−	13.5453i	0.828962	−	1.43580i	−0.0698916	−	0.997555i	$-0.522265\pi$
$89$	7.82041	−	13.5453i	0.828962	−	1.43580i	0.898853	−	0.438249i	$-0.144401\pi$
$90$	−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
$93$	−0.411745	−	11.3487i	−0.0426959	−	1.17680i
$94$	1.26272	+	0.729031i	0.130240	+	0.0751938i
$95$	0.292157	+	0.168677i	0.0299747	+	0.0173059i
$96$	−0.0989048	−	2.72605i	−0.0100944	−	0.278226i
$97$	1.24162	+	0.716849i	0.126067	+	0.0727850i	0.561708	−	0.827336i	$-0.310145\pi$
$97$	1.24162	+	0.716849i	0.126067	+	0.0727850i	−0.435640	+	0.900121i	$0.643478\pi$
$98$	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
$101$	16.0219			1.59424			0.797120	−	0.603821i	$-0.206356\pi$
$101$	16.0219			1.59424			0.797120	+	0.603821i	$0.206356\pi$
$102$	0.511914	+	14.1096i	0.0506870	+	1.39705i
$103$		−	16.8660i		−	1.66186i	−0.556381	−	0.830928i	$-0.687810\pi$
$103$		−	16.8660i		−	1.66186i	0.556381	−	0.830928i	$-0.312190\pi$
$104$	−3.81107	−	6.60097i	−0.373706	−	0.647278i
$105$	−0.422825	+	3.53028i	−0.0412635	+	0.344520i
$106$	−5.63599	+	9.76182i	−0.547416	+	0.948152i
$107$	−3.36444	−	1.94246i	−0.325253	−	0.187785i	0.328479	−	0.944511i	$-0.393464\pi$
$107$	−3.36444	−	1.94246i	−0.325253	−	0.187785i	−0.653731	+	0.756727i	$0.726797\pi$
$108$	0.587156	−	1.33338i	0.0564991	−	0.128304i
$109$	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	$0.794131\pi$
$110$	2.25143	+	3.89959i	0.214665	+	0.371811i
$111$	−10.8943	+	0.395260i	−1.03404	+	0.0375164i
$112$	−1.83623	+	11.7156i	−0.173508	+	1.10702i
$113$	−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	$0.511796\pi$
$114$	0.603964	+	0.963629i	0.0565664	+	0.0902521i
$115$		−	0.0432307i		−	0.00403129i
$116$	−0.0527109	+	0.0304327i	−0.00489408	+	0.00282560i
$117$	−0.638125	−	8.78253i	−0.0589946	−	0.811945i
$118$			4.71812i			0.434338i
$119$	2.21144	−	14.1096i	0.202722	−	1.29342i
$120$	−2.95692	+	1.85328i	−0.269929	+	0.169181i
$121$	−3.77009			−0.342735
$122$	−2.63076	+	4.55662i	−0.238178	+	0.412537i
$123$	6.14397	−	11.5931i	0.553983	−	1.04531i
$124$	1.59205	−	0.919171i	0.142970	−	0.0825440i
$125$	7.29170			0.652189
$126$	−6.83232	+	9.84803i	−0.608672	+	0.877332i
$127$	2.65660			0.235735			0.117867	−	0.993029i	$-0.462394\pi$
$127$	2.65660			0.235735			0.117867	+	0.993029i	$0.462394\pi$
$128$	−11.3409	+	6.54769i	−1.00241	+	0.578739i
$129$	−22.2492	+	0.807233i	−1.95894	+	0.0710729i
$130$	1.71953	−	2.97830i	0.150812	−	0.261215i
$131$	−8.23623			−0.719602			−0.359801	−	0.933029i	$-0.617155\pi$
$131$	−8.23623			−0.719602			−0.359801	+	0.933029i	$0.617155\pi$
$132$	0.0676717	+	1.86519i	0.00589006	+	0.162344i
$133$	−0.413990	−	1.07331i	−0.0358975	−	0.0930678i
$134$		−	6.34507i		−	0.548131i
$135$	−4.00774	+	0.437756i	−0.344931	+	0.0376760i
$136$	12.1395	−	7.00873i	1.04095	−	0.600994i
$137$			17.3272i			1.48036i	0.672408	+	0.740180i	$0.265260\pi$
$137$			17.3272i			1.48036i	−0.672408	+	0.740180i	$0.734740\pi$
$138$	0.0682437	−	0.128769i	0.00580929	−	0.0109616i
$139$	−5.47677	+	3.16201i	−0.464533	+	0.268198i	−0.713949	−	0.700198i	$-0.753095\pi$
$139$	−5.47677	+	3.16201i	−0.464533	+	0.268198i	0.249415	+	0.968397i	$0.419762\pi$
$140$	−0.537008	+	0.207131i	−0.0453855	+	0.0175058i
$141$	0.783123	−	1.47768i	0.0659509	−	0.124443i
$142$	2.64880	+	4.58785i	0.222282	+	0.385004i
$143$	5.64031	+	9.76931i	0.471667	+	0.816951i
$144$	−13.4111	+	0.974430i	−1.11759	+	0.0812025i
$145$	0.145860	+	0.0842123i	0.0121130	+	0.00699345i
$146$	−6.15478	+	10.6604i	−0.509373	+	0.882260i
$147$	8.68286	−	8.46215i	0.716150	−	0.697946i
$148$	−0.882370	−	1.52831i	−0.0725304	−	0.125626i
$149$			12.8242i			1.05060i	0.850917	+	0.525300i	$0.176047\pi$
$149$			12.8242i			1.05060i	−0.850917	+	0.525300i	$0.823953\pi$
$150$	10.1641	+	5.38666i	0.829897	+	0.439819i
$151$	5.25517			0.427660			0.213830	−	0.976871i	$-0.431406\pi$
$151$	5.25517			0.427660			0.213830	+	0.976871i	$0.431406\pi$
$152$	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
$156$	1.20784	−	0.757028i	0.0967048	−	0.0606107i
$157$	−6.91794	−	3.99407i	−0.552111	−	0.318762i	0.197862	−	0.980230i	$-0.436600\pi$
$157$	−6.91794	−	3.99407i	−0.552111	−	0.318762i	−0.749973	+	0.661468i	$0.769934\pi$
$158$	6.48946	+	3.74669i	0.516274	+	0.298071i
$159$	11.4236	+	6.05416i	0.905954	+	0.480126i
$160$	−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	$0.0178926\pi$
$164$	2.12397			0.165854
$165$	4.37619	−	2.74282i	0.340686	−	0.213528i
$166$			13.0180i			1.01039i
$167$	−8.38240	−	14.5187i	−0.648650	−	1.12349i	−0.983446	−	0.181204i	$-0.942001\pi$
$167$	−8.38240	−	14.5187i	−0.648650	−	1.12349i	0.334796	−	0.942291i	$-0.391333\pi$
$168$	11.8155	+	1.41515i	0.911585	+	0.109181i
$169$	−2.19222	+	3.79704i	−0.168632	+	0.292080i
$170$	5.47724	+	3.16228i	0.420085	+	0.242536i
$171$	1.07942	−	0.732354i	0.0825454	−	0.0560045i
$172$	−1.80205	−	3.12124i	−0.137405	−	0.237992i
$173$	0.856396	+	1.48332i	0.0651106	+	0.112775i	0.896743	−	0.442552i	$-0.145927\pi$
$173$	0.856396	+	1.48332i	0.0651106	+	0.112775i	−0.831632	+	0.555326i	$0.812593\pi$
$174$	0.301530	+	0.481093i	0.0228589	+	0.0364716i
$175$	−9.05470	−	7.30823i	−0.684471	−	0.552450i
$176$	14.9180	−	8.61288i	1.12448	−	0.649220i
$177$	5.40804	−	0.196211i	0.406493	−	0.0147481i
$178$		−	23.6191i		−	1.77033i
$179$	−12.4141	+	7.16731i	−0.927877	+	0.535710i	−0.886139	−	0.463419i	$-0.846623\pi$
$179$	−12.4141	+	7.16731i	−0.927877	+	0.535710i	−0.0417372	+	0.999129i	$0.513289\pi$
$180$	−0.366418	−	0.540065i	−0.0273112	−	0.0402541i
$181$		−	4.83147i		−	0.359121i	−0.983747	−	0.179560i	$-0.942532\pi$
$181$		−	4.83147i		−	0.359121i	0.983747	−	0.179560i	$-0.0574675\pi$
$182$	−10.9415	+	4.22029i	−0.811039	+	0.312829i
$183$	5.33232	+	2.82596i	0.394177	+	0.208901i
$184$	−0.144689			−0.0106666
$185$	−2.44167	+	4.22909i	−0.179515	+	0.310929i
$186$	−9.10724	−	14.5307i	−0.667775	−	1.06544i
$187$	−17.9662	+	10.3728i	−1.31382	+	0.758534i
$188$	0.270725			0.0197447
$189$	11.5722	+	7.42185i	0.841755	+	0.539860i
$190$	0.509437			0.0369584
$191$	−2.72114	+	1.57105i	−0.196895	+	0.113677i	−0.595206	−	0.803573i	$-0.702930\pi$
$191$	−2.72114	+	1.57105i	−0.196895	+	0.113677i	0.398311	+	0.917250i	$0.369596\pi$
$192$	6.05811	+	9.66575i	0.437206	+	0.697566i
$193$	−3.00508	+	5.20496i	−0.216311	+	0.374661i	−0.953677	−	0.300832i	$-0.902736\pi$
$193$	−3.00508	+	5.20496i	−0.216311	+	0.374661i	0.737367	+	0.675493i	$0.236069\pi$
$194$	2.16502			0.155439
$195$	−3.48532	−	1.84711i	−0.249589	−	0.132274i
$196$	1.86859	+	0.600491i	0.133471	+	0.0428922i
$197$		−	14.0902i		−	1.00388i	−0.864901	−	0.501942i	$-0.832619\pi$
$197$		−	14.0902i		−	1.00388i	0.864901	−	0.501942i	$-0.167381\pi$
$198$	17.3650	−	1.26171i	1.23407	−	0.0896658i
$199$	−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	$0.423681\pi$
$200$		−	11.4207i		−	0.807564i
$201$	−7.27289	+	0.263871i	−0.512990	+	0.0186120i
$202$	20.9531	−	12.0973i	1.47426	−	0.851163i
$203$	−0.206685	−	0.535852i	−0.0145065	−	0.0376094i
$204$	1.39221	+	2.22128i	0.0974741	+	0.155520i
$205$	−2.93869	−	5.08995i	−0.205247	−	0.355498i
$206$	−12.7346	−	22.0570i	−0.887263	−	1.53678i
$207$	−0.150437	−	0.0728677i	−0.0104561	−	0.00506465i
$208$	−11.3936	−	6.57807i	−0.790001	−	0.456107i
$209$	−0.835517	+	1.44716i	−0.0577939	+	0.100102i
$210$	2.11257	+	4.93609i	0.145781	+	0.340622i
$211$	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	$0.776535\pi$
$212$			2.09292i			0.143742i
$213$	5.14856	−	3.22692i	0.352774	−	0.221105i
$214$	−5.86660			−0.401032
$215$	−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
$219$	12.4752	+	6.61145i	0.842995	+	0.446760i
$220$	0.724055	+	0.418033i	0.0488158	+	0.0281838i
$221$	13.7217	+	7.92220i	0.923019	+	0.532905i
$222$	−13.9489	+	8.74262i	−0.936189	+	0.586766i
$223$	3.79823	+	2.19291i	0.254348	+	0.146848i	0.621754	−	0.783213i	$-0.286420\pi$
$223$	3.79823	+	2.19291i	0.254348	+	0.146848i	−0.367405	+	0.930061i	$0.619754\pi$
$224$	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
$227$	9.67394			0.642082			0.321041	−	0.947065i	$-0.395967\pi$
$227$	9.67394			0.642082			0.321041	+	0.947065i	$0.395967\pi$
$228$	0.186578	+	0.0988800i	0.0123564	+	0.00654849i
$229$			8.85314i			0.585032i	0.956261	+	0.292516i	$0.0944925\pi$
$229$			8.85314i			0.585032i	−0.956261	+	0.292516i	$0.905508\pi$
$230$	−0.0326412	−	0.0565363i	−0.00215230	−	0.00372789i
$231$	−17.4867	−	2.09440i	−1.15054	−	0.137801i
$232$	0.281850	−	0.488179i	0.0185044	−	0.0320505i
$233$	11.1612	+	6.44391i	0.731194	+	0.422155i	0.818859	−	0.573995i	$-0.194607\pi$
$233$	11.1612	+	6.44391i	0.731194	+	0.422155i	−0.0876651	+	0.996150i	$0.527941\pi$
$234$	−7.46575	−	11.0038i	−0.488052	−	0.719341i
$235$	−0.374571	−	0.648777i	−0.0244343	−	0.0423215i
$236$	0.438017	+	0.758668i	0.0285125	+	0.0493851i
$237$	4.02469	−	7.59421i	0.261432	−	0.493297i
$238$	−7.76131	−	20.1219i	−0.503091	−	1.30431i
$239$	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	$0.283389\pi$
$240$	−2.82058	+	5.32217i	−0.182067	+	0.343544i
$241$			10.0336i			0.646323i	0.946344	+	0.323161i	$0.104746\pi$
$241$			10.0336i			0.646323i	−0.946344	+	0.323161i	$0.895254\pi$
$242$	−4.93045	+	2.84659i	−0.316941	+	0.182986i
$243$	−5.23192	+	14.6842i	−0.335628	+	0.941995i
$244$			0.976932i			0.0625417i
$245$	−1.14631	−	5.30879i	−0.0732349	−	0.339166i
$246$	−0.718379	−	19.8002i	−0.0458022	−	1.26242i
$247$	1.27625			0.0812058
$248$	−8.51284	+	14.7447i	−0.540566	+	0.936288i
$249$	14.9216	−	0.541377i	0.945619	−	0.0343083i
$250$	9.53594	−	5.50558i	0.603106	−	0.348203i
$251$	−7.98203			−0.503821			−0.251911	−	0.967751i	$-0.581059\pi$
$251$	−7.98203			−0.503821			−0.251911	+	0.967751i	$0.581059\pi$
$252$	−0.184366	+	2.21785i	−0.0116140	+	0.139711i
$253$	0.214137			0.0134627
$254$	3.47424	−	2.00586i	0.217993	−	0.125859i
$255$	3.39692	−	6.40967i	0.212723	−	0.401389i
$256$	−3.30160	+	5.71853i	−0.206350	+	0.357408i
$257$	−2.68230			−0.167317			−0.0836585	−	0.996494i	$-0.526660\pi$
$257$	−2.68230			−0.167317			−0.0836585	+	0.996494i	$0.526660\pi$
$258$	−28.4876	+	17.8549i	−1.77356	+	1.11160i
$259$	15.5366	−	5.99267i	0.965397	−	0.372367i
$260$		−	0.638544i		−	0.0396008i
$261$	0.538902	−	0.365629i	0.0333572	−	0.0226319i
$262$	−10.7712	+	6.21874i	−0.665445	+	0.384195i
$263$		−	23.4359i		−	1.44512i	−0.691309	−	0.722560i	$-0.742966\pi$
$263$		−	23.4359i		−	1.44512i	0.691309	−	0.722560i	$-0.257034\pi$
$264$	−9.17994	−	14.6467i	−0.564986	−	0.901439i
$265$	5.01556	−	2.89573i	0.308103	−	0.177883i
$266$	−1.35181	−	1.09107i	−0.0828847	−	0.0668979i
$267$	−27.0729	+	0.982241i	−1.65683	+	0.0601122i
$268$	−0.589059	−	1.02028i	−0.0359825	−	0.0623236i
$269$	−1.98955	−	3.44600i	−0.121305	−	0.210106i	0.798978	−	0.601361i	$-0.205375\pi$
$269$	−1.98955	−	3.44600i	−0.121305	−	0.210106i	−0.920283	+	0.391254i	$0.872041\pi$
$270$	−4.91071	+	3.59852i	−0.298856	+	0.218999i
$271$	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
$273$	5.29244	+	12.3660i	0.320313	+	0.748422i
$274$	13.0828	+	22.6601i	0.790363	+	1.36895i
$275$			16.9024i			1.01925i
$276$	−0.000981105	−	0.0270416i	−5.90556e−5	−	0.00162771i
$277$	−19.6909			−1.18311			−0.591557	−	0.806263i	$-0.701487\pi$
$277$	−19.6909			−1.18311			−0.591557	+	0.806263i	$0.701487\pi$
$278$	−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	$0.588770\pi$
$282$	−0.0915661	−	2.52378i	−0.00545268	−	0.150289i
$283$	1.16390	+	0.671978i	0.0691867	+	0.0399450i	0.534194	−	0.845362i	$-0.320615\pi$
$283$	1.16390	+	0.671978i	0.0691867	+	0.0399450i	−0.465008	+	0.885307i	$0.653948\pi$
$284$	0.851847	+	0.491814i	0.0505478	+	0.0291838i
$285$	−0.0211858	−	0.583931i	−0.00125494	−	0.0345891i
$286$	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
$290$	0.254337			0.0149352
$291$	−0.0900361	−	2.48161i	−0.00527801	−	0.145474i
$292$			2.28557i			0.133753i
$293$	−10.6300	−	18.4117i	−0.621012	−	1.07562i	−0.989298	−	0.145912i	$-0.953388\pi$
$293$	−10.6300	−	18.4117i	−0.621012	−	1.07562i	0.368285	−	0.929713i	$-0.379945\pi$
$294$	4.96595	−	17.6226i	0.289620	−	1.02777i
$295$	1.21207	−	2.09936i	0.0705693	−	0.122230i
$296$	14.1543	+	8.17202i	0.822705	+	0.474989i
$297$	−2.16836	−	19.8517i	−0.125821	−	1.15191i
$298$	9.68289	+	16.7713i	0.560915	+	0.971533i
$299$	−0.0817733	−	0.141636i	−0.00472907	−	0.00819100i
$300$	2.13446	−	0.0774412i	0.123233	−	0.00447107i
$301$	31.7301	−	12.2387i	1.82889	−	0.705429i
$302$	6.87261	−	3.96790i	0.395474	−	0.228327i
$303$	−14.7376	−	23.5140i	−0.846655	−	1.35084i
$304$		−	1.94886i		−	0.111775i
$305$	2.34116	−	1.35167i	0.134054	−	0.0773963i
$306$	20.2365	−	13.7299i	1.15684	−	0.784884i
$307$		−	13.2098i		−	0.753925i	−0.926229	−	0.376962i	$-0.876969\pi$
$307$		−	13.2098i		−	0.753925i	0.926229	−	0.376962i	$-0.123031\pi$
$308$	−1.02599	−	2.65999i	−0.0584614	−	0.151567i
$309$	−24.7528	+	15.5140i	−1.40814	+	0.882563i
$310$	−7.68185			−0.436300
$311$	10.2687	−	17.7859i	0.582283	−	1.00854i	−0.412925	−	0.910765i	$-0.635493\pi$
$311$	10.2687	−	17.7859i	0.582283	−	1.00854i	0.995208	−	0.0977785i	$-0.0311737\pi$
$312$	−6.18209	+	11.6650i	−0.349992	+	0.660402i
$313$	14.2976	−	8.25471i	0.808147	−	0.466584i	−0.0381649	−	0.999271i	$-0.512151\pi$
$313$	14.2976	−	8.25471i	0.808147	−	0.466584i	0.846312	+	0.532688i	$0.178818\pi$
$314$	−12.0629			−0.680746
$315$	5.57002	−	2.62676i	0.313835	−	0.148001i
$316$	1.39133			0.0782685
$317$	8.11112	−	4.68296i	0.455566	−	0.263021i	−0.254612	−	0.967043i	$-0.581948\pi$
$317$	8.11112	−	4.68296i	0.455566	−	0.263021i	0.710178	+	0.704022i	$0.248614\pi$
$318$	19.5108	−	0.707879i	1.09411	−	0.0396959i
$319$	−0.417133	+	0.722496i	−0.0233550	+	0.0404520i
$320$	5.10995			0.285655
$321$	0.243972	+	6.72445i	0.0136172	+	0.375322i
$322$	−0.0344703	+	0.219929i	−0.00192095	+	0.0122562i
$323$			2.34708i			0.130595i
$324$	−2.49697	+	0.364778i	−0.138721	+	0.0202654i
$325$	11.1797	−	6.45459i	0.620137	−	0.358036i
$326$		−	17.3731i		−	0.962205i
$327$	2.08046	−	3.92564i	0.115050	−	0.217089i
$328$	−17.0356	+	9.83548i	−0.940631	+	0.543074i
$329$	−0.395560	+	2.52378i	−0.0218079	+	0.139140i
$330$	3.65213	−	6.89124i	0.201043	−	0.379350i
$331$	−14.4220	−	24.9796i	−0.792702	−	1.37300i	−0.924288	−	0.381696i	$-0.875340\pi$
$331$	−14.4220	−	24.9796i	−0.792702	−	1.37300i	0.131586	−	0.991305i	$-0.457993\pi$
$332$	1.20856	+	2.09328i	0.0663282	+	0.114884i
$333$	10.6011	+	15.6250i	0.580938	+	0.856247i
$334$	−21.9247	−	12.6582i	−1.19967	−	0.692627i
$335$	−1.63003	+	2.82329i	−0.0890579	+	0.154253i
$336$	18.8831	−	8.08166i	1.03016	−	0.440891i
$337$	−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	$0.944138\pi$
$338$			6.62092i			0.360130i
$339$	17.3013	+	9.16915i	0.939680	+	0.498000i
$340$	1.17431			0.0636860
$341$	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
$345$	−0.0634460	+	0.0397654i	−0.00341582	+	0.00214090i
$346$	2.23996	+	1.29324i	0.120421	+	0.0695250i
$347$	24.8740	+	14.3610i	1.33531	+	0.770939i	0.986107	−	0.166109i	$-0.0531204\pi$
$347$	24.8740	+	14.3610i	1.33531	+	0.770939i	0.349199	+	0.937049i	$0.386454\pi$
$348$	0.0931491	+	0.0493660i	0.00499332	+	0.00264630i
$349$	11.0854	+	6.40017i	0.593389	+	0.342593i	0.766436	−	0.642320i	$-0.222028\pi$
$349$	11.0854	+	6.40017i	0.593389	+	0.342593i	−0.173048	+	0.984913i	$0.555361\pi$
$350$	−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
$353$	−26.9982			−1.43697			−0.718485	−	0.695542i	$-0.755164\pi$
$353$	−26.9982			−1.43697			−0.718485	+	0.695542i	$0.755164\pi$
$354$	6.92437	−	4.33992i	0.368026	−	0.230664i
$355$		−	2.72187i		−	0.144462i
$356$	−2.19274	−	3.79793i	−0.116215	−	0.201290i
$357$	−22.7416	+	9.73303i	−1.20361	+	0.515126i
$358$	−10.8233	+	18.7465i	−0.572030	+	0.990785i
$359$	−24.2669	−	14.0105i	−1.28076	−	0.739445i	−0.303770	−	0.952745i	$-0.598245\pi$
$359$	−24.2669	−	14.0105i	−1.28076	−	0.739445i	−0.976987	+	0.213300i	$0.931579\pi$
$360$	5.43980	+	2.63489i	0.286703	+	0.138871i
$361$	−9.40547	−	16.2908i	−0.495025	−	0.857408i
$362$	−3.64799	−	6.31851i	−0.191734	−	0.332093i
$363$	3.46789	+	5.53303i	0.182017	+	0.290409i
$364$	−1.36758	+	1.69440i	−0.0716809	+	0.0888107i
$365$	5.47724	−	3.16228i	0.286692	−	0.165522i
$366$	9.10724	−	0.330423i	0.476043	−	0.0172715i
$367$			33.4382i			1.74546i	0.488202	+	0.872731i	$0.337653\pi$
$367$			33.4382i			1.74546i	−0.488202	+	0.872731i	$0.662347\pi$
$368$	−0.216281	+	0.124870i	−0.0112744	+	0.00650928i
$369$	−22.6657	+	1.64685i	−1.17993	+	0.0857316i
$370$			7.37430i			0.383372i
$371$	−19.5108	−	3.05799i	−1.01295	−	0.158763i
$372$	−2.81342	−	1.49102i	−0.145869	−	0.0773059i
$373$	−7.96805			−0.412570			−0.206285	−	0.978492i	$-0.566137\pi$
$373$	−7.96805			−0.412570			−0.206285	+	0.978492i	$0.566137\pi$
$374$	−15.6639	+	27.1307i	−0.809961	+	1.40289i
$375$	−6.70721	−	10.7014i	−0.346359	−	0.552618i
$376$	−2.17139	+	1.25365i	−0.111981	+	0.0646522i
$377$	0.637169			0.0328159
$378$	20.7378	+	0.968580i	1.06664	+	0.0498184i
$379$	3.88714			0.199669			0.0998345	−	0.995004i	$-0.468169\pi$
$379$	3.88714			0.199669			0.0998345	+	0.995004i	$0.468169\pi$
$380$	0.0819169	−	0.0472948i	0.00420225	−	0.00242617i
$381$	−2.44365	−	3.89886i	−0.125192	−	0.199744i
$382$	−2.37244	+	4.10918i	−0.121384	+	0.210244i
$383$	12.6830			0.648071			0.324036	−	0.946045i	$-0.394960\pi$
$383$	12.6830			0.648071			0.324036	+	0.946045i	$0.394960\pi$
$384$	20.0413	+	10.6213i	1.02273	+	0.542014i
$385$	−4.95495	+	6.13905i	−0.252528	+	0.312875i
$386$			9.07592i			0.461952i
$387$	21.6505	+	31.9108i	1.10056	+	1.62211i
$388$	0.348133	−	0.200995i	0.0176738	−	0.0102040i
$389$			20.5614i			1.04250i	0.853403	+	0.521252i	$0.174535\pi$
$389$			20.5614i			1.04250i	−0.853403	+	0.521252i	$0.825465\pi$
$390$	−5.95269	+	0.215972i	−0.301426	+	0.0109362i
$391$	0.260474	−	0.150385i	0.0131727	−	0.00760529i
$392$	−17.7680	+	3.83658i	−0.897418	+	0.193776i
$393$	7.57603	+	12.0876i	0.382160	+	0.609739i
$394$	−10.6388	−	18.4269i	−0.535973	−	0.928332i
$395$	−1.92503	−	3.33424i	−0.0968586	−	0.167764i
$396$	2.67513	−	1.81500i	0.134430	−	0.0912070i
$397$	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
$399$	−1.19440	+	1.59485i	−0.0597947	+	0.0798426i
$400$	−9.85630	−	17.0716i	−0.492815	−	0.853580i
$401$		−	10.3164i		−	0.515178i	−0.966255	−	0.257589i	$-0.917072\pi$
$401$		−	10.3164i		−	0.515178i	0.966255	−	0.257589i	$-0.0829280\pi$
$402$	−9.31211	+	5.83646i	−0.464446	+	0.291096i
$403$	−19.2447			−0.958647
$404$	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
$408$	−21.4525	−	11.3691i	−1.06206	−	0.562856i
$409$	−16.0387	−	9.25995i	−0.793063	−	0.457875i	0.0479769	−	0.998848i	$-0.484723\pi$
$409$	−16.0387	−	9.25995i	−0.793063	−	0.457875i	−0.841040	+	0.540973i	$0.818056\pi$
$410$	−7.68631	−	4.43769i	−0.379600	−	0.219162i
$411$	25.4296	−	15.9383i	1.25435	−	0.786177i
$412$	−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
$416$	−4.62275			−0.226649
$417$	9.67838	+	5.12923i	0.473952	+	0.251179i
$418$			2.52342i			0.123424i
$419$	6.37677	+	11.0449i	0.311526	+	0.539578i	0.978693	−	0.205330i	$-0.0658267\pi$
$419$	6.37677	+	11.0449i	0.311526	+	0.539578i	−0.667167	+	0.744908i	$0.732493\pi$
$420$	0.797952	+	0.597592i	0.0389361	+	0.0291595i
$421$	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
$423$	−2.88902	+	0.209911i	−0.140469	+	0.0102062i
$424$	−9.69173	−	16.7866i	−0.470672	−	0.815227i
$425$	11.8703	+	20.5599i	0.575793	+	0.997303i
$426$	4.29672	−	8.10751i	0.208177	−	0.392810i
$427$	−9.10724	−	1.42741i	−0.440730	−	0.0690772i
$428$	−0.943342	+	0.544639i	−0.0455982	+	0.0263261i
$429$	9.14938	−	17.2640i	0.441736	−	0.833515i
$430$			15.0604i			0.726277i
$431$	31.3069	−	18.0750i	1.50800	−	0.870643i	0.508041	−	0.861333i	$-0.330370\pi$
$431$	31.3069	−	18.0750i	1.50800	−	0.870643i	0.999957	−	0.00931038i	$-0.00296363\pi$
$432$	13.7662	+	18.7860i	0.662326	+	0.903843i
$433$		−	33.0085i		−	1.58629i	−0.609034	−	0.793144i	$-0.708443\pi$
$433$		−	33.0085i		−	1.58629i	0.609034	−	0.793144i	$-0.291557\pi$
$434$	20.3841	+	16.4524i	0.978466	+	0.789740i
$435$	−0.0105770	−	0.291528i	−0.000507130	−	0.0139777i
$436$	0.719215			0.0344442
$437$	0.0121133	−	0.0209809i	0.000579459	−	0.00100365i
$438$	21.3068	−	0.773039i	1.01808	−	0.0369372i
$439$	26.4673	−	15.2809i	1.26321	−	0.729317i	0.289519	−	0.957172i	$-0.406505\pi$
$439$	26.4673	−	15.2809i	1.26321	−	0.729317i	0.973695	+	0.227856i	$0.0731714\pi$
$440$	−7.74318			−0.369141
$441$	−20.4060	−	4.95924i	−0.971716	−	0.236154i
$442$	23.9266			1.13807
$443$	−17.9290	+	10.3513i	−0.851833	+	0.491806i	−0.861269	−	0.508150i	$-0.830330\pi$
$443$	−17.9290	+	10.3513i	−0.851833	+	0.491806i	0.00943615	+	0.999955i	$0.496996\pi$
$444$	−1.43133	+	2.70078i	−0.0679278	+	0.128174i
$445$	−6.06767	+	10.5095i	−0.287635	+	0.498199i
$446$	6.62300			0.313608
$447$	18.8210	−	11.7963i	0.890203	−	0.557944i
$448$	−13.5594	−	10.9441i	−0.640622	−	0.517059i
$449$			6.40243i			0.302150i	0.988522	+	0.151075i	$0.0482734\pi$
$449$			6.40243i			0.302150i	−0.988522	+	0.151075i	$0.951727\pi$
$450$	−1.44386	−	19.8719i	−0.0680641	−	0.936769i
$451$	25.2123	−	14.5563i	1.18720	−	0.685431i
$452$			3.16977i			0.149093i
$453$	−4.83393	−	7.71256i	−0.227118	−	0.362368i
$454$	12.6514	−	7.30428i	0.593759	−	0.342807i
$455$	5.95269	+	0.932986i	0.279067	+	0.0437390i
$456$	−1.95436	+	0.0709067i	−0.0915211	+	0.00332051i
$457$	1.57340	+	2.72521i	0.0736007	+	0.127480i	0.900477	−	0.434904i	$-0.143218\pi$
$457$	1.57340	+	2.72521i	0.0736007	+	0.127480i	−0.826876	+	0.562384i	$0.809884\pi$
$458$	6.68454	+	11.5780i	0.312348	+	0.541003i
$459$	−16.5791	−	22.6246i	−0.773846	−	1.05603i
$460$	−0.0104974	−	0.00606065i	−0.000489442	−	0.000282579i
$461$	7.44225	−	12.8904i	0.346620	−	0.600364i	−0.639026	−	0.769185i	$-0.720663\pi$
$461$	7.44225	−	12.8904i	0.346620	−	0.600364i	0.985647	+	0.168821i	$0.0539959\pi$
$462$	−24.4502	+	10.4643i	−1.13752	+	0.486843i
$463$	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	$0.620075\pi$
$464$		−	0.972971i		−	0.0451691i
$465$	0.319463	+	8.80515i	0.0148147	+	0.408329i
$466$	19.4618			0.901552
$467$	−12.3967	+	21.4717i	−0.573650	+	0.993591i	0.422537	+	0.906346i	$0.361140\pi$
$467$	−12.3967	+	21.4717i	−0.573650	+	0.993591i	−0.996187	+	0.0872454i	$0.972194\pi$
$468$	−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
$471$	0.501654	+	13.8268i	0.0231150	+	0.637104i
$472$	−7.02636	−	4.05667i	−0.323414	−	0.186723i
$473$	−42.7821	−	24.7003i	−1.96712	−	1.13572i
$474$	−0.470584	−	12.9704i	−0.0216146	−	0.595750i
$475$	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
$479$	12.5271			0.572377			0.286189	−	0.958173i	$-0.407612\pi$
$479$	12.5271			0.572377			0.286189	+	0.958173i	$0.407612\pi$
$480$	0.0767379	+	2.11508i	0.00350259	+	0.0965397i
$481$			18.4742i			0.842352i
$482$	7.57587	+	13.1218i	0.345071	+	0.597681i
$483$	0.253523	+	0.0303646i	0.0115357	+	0.00138164i
$484$	−0.528540	+	0.915459i	−0.0240246	+	0.0416118i
$485$	−0.963343	−	0.556187i	−0.0437432	−	0.0252551i
$486$	4.24510	+	23.1541i	0.192562	+	1.05029i
$487$	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	$0.808825\pi$
$488$	−4.52390	−	7.83562i	−0.204787	−	0.354702i
$489$	−19.9135	+	0.722488i	−0.900519	+	0.0326720i
$490$	−5.50750	−	6.07721i	−0.248804	−	0.274540i
$491$	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	$0.326862\pi$
$492$	−1.95371	−	3.11716i	−0.0880802	−	0.140532i
$493$			1.17178i			0.0527745i
$494$	1.66905	−	0.963629i	0.0750943	−	0.0433557i
$495$	−8.05080	−	3.89959i	−0.361857	−	0.175274i
$496$			29.3871i			1.31952i
$497$	−5.82948	+	7.22257i	−0.261488	+	0.323976i
$498$	19.1054	−	11.9745i	0.856135	−	0.536591i
$499$	21.8688			0.978984			0.489492	−	0.872008i	$-0.337182\pi$
$499$	21.8688			0.978984			0.489492	+	0.872008i	$0.337182\pi$
$500$	1.02225	−	1.77058i	0.0457162	−	0.0791829i
$501$	−13.5974	+	25.6571i	−0.607488	+	1.14627i
$502$	−10.4387	+	6.02681i	−0.465904	+	0.268990i
$503$	42.9876			1.91672			0.958362	−	0.285557i	$-0.0921785\pi$
$503$	42.9876			1.91672			0.958362	+	0.285557i	$0.0921785\pi$
$504$	−8.79149	−	18.6423i	−0.391604	−	0.830394i
$505$	−12.4310			−0.553173
$506$	0.280044	−	0.161684i	0.0124495	−	0.00718771i
$507$	7.58908	−	0.275342i	0.337043	−	0.0122284i
$508$	0.372436	−	0.645079i	0.0165242	−	0.0286207i
$509$	−30.0832			−1.33342			−0.666708	−	0.745319i	$-0.732297\pi$
$509$	−30.0832			−1.33342			−0.666708	+	0.745319i	$0.732297\pi$
$510$	−0.397182	−	10.9473i	−0.0175875	−	0.484753i
$511$	−21.3068	−	3.33948i	−0.942556	−	0.147730i
$512$		−	16.2193i		−	0.716799i
$513$	−2.06771	−	0.910522i	−0.0912916	−	0.0402005i
$514$	−3.50785	+	2.02526i	−0.154725	+	0.0893304i
$515$			13.0859i			0.576635i
$516$	−2.92318	+	5.51576i	−0.128686	+	0.242818i
$517$	3.21362	−	1.85538i	0.141335	−	0.0815997i
$518$	15.7937	−	19.5680i	0.693935	−	0.859767i
$519$	1.38919	−	2.62128i	0.0609789	−	0.115061i
$520$	2.95692	+	5.12153i	0.129669	+	0.224594i
$521$	6.00837	+	10.4068i	0.263231	+	0.455930i	0.967099	−	0.254401i	$-0.0818784\pi$
$521$	6.00837	+	10.4068i	0.263231	+	0.455930i	−0.703867	+	0.710331i	$0.748545\pi$
$522$	0.428699	−	0.885059i	0.0187636	−	0.0387380i
$523$	−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
$525$	−2.39676	+	20.0112i	−0.104603	+	0.873361i
$526$	−17.6952	−	30.6490i	−0.771548	−	1.33636i
$527$		−	35.3919i		−	1.54169i
$528$	−26.3625	−	13.9713i	−1.14728	−	0.608023i
$529$	22.9969			0.999865
$530$	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
$534$	−34.6637	+	21.7259i	−1.50005	+	0.940170i
$535$	2.61039	+	1.50711i	0.112857	+	0.0651580i
$536$	9.44926	+	5.45554i	0.408146	+	0.235643i
$537$	21.9379	+	11.6264i	0.946690	+	0.501715i
$538$	−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	$0.804123\pi$
$542$	18.8849			0.811176
$543$	−7.09074	+	4.44419i	−0.304293	+	0.190719i
$544$		−	8.50145i		−	0.364497i
$545$	−0.995095	−	1.72356i	−0.0426252	−	0.0738290i
$546$	16.2582	+	12.1759i	0.695788	+	0.521081i
$547$	−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
$549$	−0.757480	−	10.4252i	−0.0323285	−	0.444938i
$550$	12.7621	+	22.1046i	0.544178	+	0.942544i
$551$	0.0471929	+	0.0817405i	0.00201049	+	0.00348226i
$552$	0.133091	+	0.212347i	0.00566473	+	0.00903810i
$553$	−2.03289	+	12.9704i	−0.0864474	+	0.551557i
$554$	−25.7514	+	14.8676i	−1.09407	+	0.631664i
$555$	8.45263	−	0.306673i	0.358794	−	0.0130175i
$556$			1.77317i			0.0751992i
$557$	−27.2305	+	15.7215i	−1.15379	+	0.666143i	−0.949809	−	0.312831i	$-0.898723\pi$
$557$	−27.2305	+	15.7215i	−1.15379	+	0.666143i	−0.203985	+	0.978974i	$0.565389\pi$
$558$	−12.9482	+	26.7318i	−0.548140	+	1.13165i
$559$			37.7296i			1.59579i
$560$	1.42469	−	9.08989i	0.0602041	−	0.384118i
$561$	31.7493	+	16.8261i	1.34046	+	0.710399i
$562$	12.2662			0.517419
$563$	17.0829	−	29.5884i	0.719956	−	1.24700i	−0.241060	−	0.970510i	$-0.577495\pi$
$563$	17.0829	−	29.5884i	0.719956	−	1.24700i	0.961017	−	0.276491i	$-0.0891716\pi$
$564$	−0.249025	−	0.397320i	−0.0104858	−	0.0167302i
$565$	7.59616	−	4.38565i	0.319573	−	0.184506i
$566$	2.02950			0.0853063
$567$	0.247797	−	23.8105i	0.0104065	−	0.999946i
$568$	−9.10981			−0.382239
$569$	19.6652	−	11.3537i	0.824407	−	0.475972i	−0.0275266	−	0.999621i	$-0.508763\pi$
$569$	19.6652	−	11.3537i	0.824407	−	0.475972i	0.851934	+	0.523649i	$0.175430\pi$
$570$	−0.468602	−	0.747657i	−0.0196276	−	0.0313159i
$571$	5.29931	−	9.17867i	0.221769	−	0.384116i	−0.733576	−	0.679607i	$-0.762150\pi$
$571$	5.29931	−	9.17867i	0.221769	−	0.384116i	0.955345	+	0.295492i	$0.0954835\pi$
$572$	3.16293			0.132249
$573$	4.80872	+	2.54846i	0.200887	+	0.106464i
$574$	10.8916	+	28.2375i	0.454606	+	1.17861i
$575$		−	0.245051i		−	0.0102193i
$576$	8.61308	−	17.7819i	0.358878	−	0.740914i
$577$	−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	$0.431449\pi$
$578$			18.3304i			0.762444i
$579$	10.4031	−	0.377438i	0.432337	−	0.0156858i
$580$	0.0408971	−	0.0236120i	0.00169816	−	0.000980434i
$581$	−21.2800	+	8.20800i	−0.882845	+	0.340525i
$582$	−1.99148	−	3.17741i	−0.0825494	−	0.131708i
$583$	14.3436	+	24.8438i	0.594050	+	1.02893i
$584$	−10.5838	−	18.3318i	−0.437963	−	0.758574i
$585$	0.495106	+	6.81416i	0.0204701	+	0.281731i
$586$	−27.8035	−	16.0523i	−1.14855	−	0.663116i
$587$	−15.0927	+	26.1414i	−0.622944	+	1.07897i	0.365991	+	0.930619i	$0.380730\pi$
$587$	−15.0927	+	26.1414i	−0.622944	+	1.07897i	−0.988935	+	0.148352i	$0.952603\pi$
$588$	−0.837516	−	3.29472i	−0.0345386	−	0.135872i
$589$	−1.42539	−	2.46884i	−0.0587321	−	0.101727i
$590$		−	3.66068i		−	0.150708i
$591$	−20.6789	+	12.9607i	−0.850618	+	0.533134i
$592$	28.2105			1.15945
$593$	15.2911	−	26.4850i	0.627930	−	1.08761i	−0.360036	−	0.932938i	$-0.617236\pi$
$593$	15.2911	−	26.4850i	0.627930	−	1.08761i	0.987966	−	0.154669i	$-0.0494310\pi$
$594$	−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
$597$	12.0916	+	6.40815i	0.494875	+	0.262268i
$598$	−0.213883	−	0.123485i	−0.00874633	−	0.00504970i
$599$	2.33872	+	1.35026i	0.0955573	+	0.0551701i	0.547017	−	0.837121i	$-0.315763\pi$
$599$	2.33872	+	1.35026i	0.0955573	+	0.0551701i	−0.451460	+	0.892291i	$0.649097\pi$
$600$	−16.7611	+	10.5052i	−0.684271	+	0.428874i
$601$	−21.0197	−	12.1357i	−0.857411	−	0.495026i	0.00573343	−	0.999984i	$-0.498175\pi$
$601$	−21.0197	−	12.1357i	−0.857411	−	0.495026i	−0.863144	+	0.504957i	$0.831508\pi$
$602$	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
$605$	2.92512			0.118923
$606$	−37.0278	−	19.6235i	−1.50415	−	0.797151i
$607$			21.4181i			0.869334i	0.900591	+	0.434667i	$0.143134\pi$
$607$			21.4181i			0.869334i	−0.900591	+	0.434667i	$0.856866\pi$
$608$	−0.342391	−	0.593039i	−0.0138858	−	0.0240509i
$609$	−0.596305	+	0.796233i	−0.0241635	+	0.0322650i
$610$	2.04115	−	3.53537i	0.0826437	−	0.143143i
$611$	−2.45439	−	1.41705i	−0.0992942	−	0.0573275i
$612$	1.97936	−	4.08645i	0.0800111	−	0.165185i
$613$	−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	$0.871390\pi$
$614$	−9.97404	−	17.2756i	−0.402520	−	0.697185i
$615$	−4.76696	+	8.99481i	−0.192222	+	0.362706i
$616$	20.5468	+	16.5837i	0.827854	+	0.668177i
$617$	−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	$0.342157\pi$
$618$	−20.6573	+	38.9785i	−0.830960	+	1.56794i
$619$		−	33.8233i		−	1.35947i	−0.733457	−	0.679736i	$-0.762094\pi$
$619$		−	33.8233i		−	1.35947i	0.733457	−	0.679736i	$-0.237906\pi$
$620$	−1.23523	+	0.713163i	−0.0496082	+	0.0286413i
$621$	0.0314369	+	0.287810i	0.00126152	+	0.0115494i
$622$		−	31.0133i		−	1.24352i
$623$	38.6092	−	14.8921i	1.54685	−	0.596640i
$624$	0.826204	+	22.7721i	0.0330746	+	0.911615i
$625$	16.3326			0.653305
$626$	12.4654	−	21.5907i	0.498218	−	0.862938i
$627$	2.89241	−	0.104941i	0.115512	−	0.00419093i
$628$	−1.93969	+	1.11988i	−0.0774022	+	0.0446882i
$629$	−33.9749			−1.35467
$630$	5.30104	−	7.64085i	0.211198	−	0.304419i
$631$	−25.0205			−0.996049			−0.498024	−	0.867163i	$-0.665941\pi$
$631$	−25.0205			−0.996049			−0.498024	+	0.867163i	$0.665941\pi$
$632$	−11.1594	+	6.44287i	−0.443896	+	0.256283i
$633$	4.18222	−	7.89146i	0.166228	−	0.313657i
$634$	7.07171	−	12.2486i	0.280853	−	0.486452i
$635$	−2.06119			−0.0817958
$636$	3.07160	−	1.92516i	0.121797	−	0.0763374i
$637$	−13.7975	−	15.2247i	−0.546676	−	0.603225i
$638$			1.25982i			0.0498768i
$639$	−9.47173	−	4.58785i	−0.374696	−	0.181493i
$640$	8.79916	−	5.08020i	0.347817	−	0.200812i
$641$			10.6830i			0.421952i	0.977491	+	0.210976i	$0.0676642\pi$
$641$			10.6830i			0.421952i	−0.977491	+	0.210976i	$0.932336\pi$
$642$	5.39634	+	8.60990i	0.212977	+	0.339805i
$643$	−38.1128	+	22.0044i	−1.50302	+	0.867771i	−0.503029	+	0.864270i	$0.667781\pi$
$643$	−38.1128	+	22.0044i	−1.50302	+	0.867771i	−0.999994	+	0.00350106i	$0.998886\pi$
$644$	0.0148749	+	0.0385646i	0.000586152	+	0.00151966i
$645$	17.2627	−	0.626313i	0.679716	−	0.0246610i
$646$	1.77216	+	3.06946i	0.0697246	+	0.120766i
$647$	23.5043	+	40.7107i	0.924050	+	1.60050i	0.793082	+	0.609115i	$0.208475\pi$
$647$	23.5043	+	40.7107i	0.924050	+	1.60050i	0.130968	+	0.991387i	$0.458192\pi$
$648$	18.3381	−	14.4885i	0.720390	−	0.569163i
$649$	10.3989	+	6.00380i	0.408192	+	0.235670i
$650$	9.74704	−	16.8824i	0.382310	−	0.662181i
$651$	18.0105	−	24.0490i	0.705886	−	0.942554i
$652$	−1.61287	−	2.79357i	−0.0631648	−	0.109405i
$653$			33.9388i			1.32813i	0.747677	+	0.664063i	$0.231169\pi$
$653$			33.9388i			1.32813i	−0.747677	+	0.664063i	$0.768831\pi$
$654$	−0.243257	−	6.70473i	−0.00951209	−	0.262176i
$655$	6.39029			0.249689
$656$	−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	$0.676451\pi$
$660$	−0.0525049	−	1.44716i	−0.00204375	−	0.0563305i
$661$	2.08470	+	1.20360i	0.0810854	+	0.0468147i	0.539994	−	0.841669i	$-0.318426\pi$
$661$	2.08470	+	1.20360i	0.0810854	+	0.0468147i	−0.458909	+	0.888483i	$0.651760\pi$
$662$	−37.7215	−	21.7785i	−1.46609	−	0.846446i
$663$	−0.995026	−	27.4253i	−0.0386436	−	1.06511i
$664$	−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
$668$	−4.70062			−0.181873
$669$	−0.275429	−	7.59146i	−0.0106487	−	0.293503i
$670$			4.92299i			0.190192i
$671$	6.69529	+	11.5966i	0.258469	+	0.447681i
$672$	4.32628	−	5.77678i	0.166890	−	0.222844i
$673$	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
$675$	−22.7176	+	2.48140i	−0.874403	+	0.0955090i
$676$	0.614668	+	1.06464i	0.0236411	+	0.0409476i
$677$	−4.83847	−	8.38048i	−0.185958	−	0.322088i	0.757941	−	0.652323i	$-0.226205\pi$
$677$	−4.83847	−	8.38048i	−0.185958	−	0.322088i	−0.943899	+	0.330235i	$0.892872\pi$
$678$	29.5495	−	1.07210i	1.13484	−	0.0411736i
$679$	1.36507	+	3.53907i	0.0523865	+	0.135817i
$680$	−9.41873	+	5.43791i	−0.361192	+	0.208534i
$681$	−8.89850	−	14.1976i	−0.340991	−	0.544053i
$682$		−	38.0509i		−	1.45704i
$683$	18.6341	−	10.7584i	0.713012	−	0.411658i	−0.0991632	−	0.995071i	$-0.531617\pi$
$683$	18.6341	−	10.7584i	0.713012	−	0.411658i	0.812175	+	0.583413i	$0.198283\pi$
$684$	−0.0265042	−	0.364778i	−0.00101341	−	0.0139476i
$685$		−	13.4437i		−	0.513659i
$686$	1.59867	+	27.9216i	0.0610374	+	1.06605i
$687$	12.9930	−	8.14349i	0.495714	−	0.310694i
$688$	57.6139			2.19651
$689$	10.9549	−	18.9744i	0.417348	−	0.722868i
$690$	−0.0529487	+	0.0999092i	−0.00201572	+	0.00380348i
$691$	−25.4980	+	14.7213i	−0.969989	+	0.560023i	−0.899233	−	0.437470i	$-0.855874\pi$
$691$	−25.4980	+	14.7213i	−0.969989	+	0.560023i	−0.0707559	+	0.997494i	$0.522541\pi$
$692$	0.480244			0.0182561
$693$	13.0113	+	27.5903i	0.494257	+	1.04807i
$694$	43.3730			1.64642
$695$	4.24929	−	2.45333i	0.161185	−	0.0930602i
$696$	−0.975715	+	0.0354003i	−0.0369844	+	0.00134184i
$697$	20.4454	−	35.4124i	0.774423	−	1.34134i
$698$	19.3297			0.731641
$699$	−0.809354	−	22.3077i	−0.0306126	−	0.843754i
$700$	−3.04400	+	1.17411i	−0.115053	+	0.0443773i
$701$			40.4325i			1.52712i	0.645740	+	0.763558i	$0.276549\pi$
$701$			40.4325i			1.52712i	−0.645740	+	0.763558i	$0.723451\pi$
$702$	−9.28202	+	21.0786i	−0.350327	+	0.795561i
$703$	−2.37000	+	1.36832i	−0.0893863	+	0.0516072i
$704$			25.3114i			0.953958i
$705$	−0.607607	+	1.14650i	−0.0228838	+	0.0431796i
$706$	−35.3077	+	20.3849i	−1.32882	+	0.767197i
$707$	32.9861	+	26.6238i	1.24057	+	1.00129i
$708$	0.710525	−	1.34070i	0.0267032	−	0.0503864i
$709$	7.95114	+	13.7718i	0.298611	+	0.517210i	0.975818	−	0.218582i	$-0.0701433\pi$
$709$	7.95114	+	13.7718i	0.298611	+	0.517210i	−0.677207	+	0.735792i	$0.736810\pi$
$710$	−2.05514	−	3.55960i	−0.0771280	−	0.133590i
$711$	−14.8474	+	1.07879i	−0.556823	+	0.0404579i
$712$	35.1743	+	20.3079i	1.31821	+	0.761070i
$713$	−0.182658	+	0.316373i	−0.00684061	+	0.0118483i
$714$	−22.3921	+	29.8996i	−0.838002	+	1.11896i
$715$	−4.37619	−	7.57978i	−0.163660	−	0.283468i
$716$			4.01923i			0.150206i
$717$	−7.39420	−	3.91869i	−0.276141	−	0.146346i
$718$	−42.3143			−1.57916
$719$	−13.0488	+	22.6012i	−0.486638	+	0.842883i	−0.999882	−	0.0153605i	$-0.995110\pi$
$719$	−13.0488	+	22.6012i	−0.486638	+	0.842883i	0.513244	+	0.858243i	$0.328444\pi$
$720$	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
$723$	14.7255	−	9.22936i	0.547647	−	0.343243i
$724$	−1.17319	−	0.677340i	−0.0436011	−	0.0251731i
$725$	0.826800	+	0.477353i	0.0307066	+	0.0177285i
$726$	8.71294	+	4.61757i	0.323367	+	0.171374i
$727$	3.74533	+	2.16237i	0.138907	+	0.0801977i	0.567843	−	0.823137i	$-0.307778\pi$
$727$	3.74533	+	2.16237i	0.138907	+	0.0801977i	−0.428936	+	0.903335i	$0.641111\pi$
$728$	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
$731$	−69.3864			−2.56635
$732$	1.43376	−	0.898624i	0.0529933	−	0.0332141i
$733$		−	42.3174i		−	1.56303i	−0.623886	−	0.781515i	$-0.714447\pi$
$733$		−	42.3174i		−	1.56303i	0.623886	−	0.781515i	$-0.285553\pi$
$734$	25.2475	+	43.7299i	0.931901	+	1.61410i
$735$	−6.73682	+	6.56558i	−0.248492	+	0.242175i
$736$	−0.0438762	+	0.0759958i	−0.00161730	+	0.00280124i
$737$	−13.9847	−	8.07409i	−0.515135	−	0.297413i
$738$	−28.3983	+	19.2674i	−1.04535	+	0.709242i
$739$	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	$0.814339\pi$
$740$	0.684610	+	1.18578i	0.0251668	+	0.0435901i
$741$	−1.17395	−	1.87304i	−0.0431261	−	0.0688079i
$742$	−27.8248	+	10.7324i	−1.02148	+	0.393999i
$743$	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	$0.296726\pi$
$744$	29.4700	−	1.06921i	1.08042	−	0.0391992i
$745$		−	9.95001i		−	0.364540i
$746$	−10.4205	+	6.01626i	−0.381520	+	0.220271i
$747$	−14.5201	−	21.4012i	−0.531261	−	0.783028i
$748$			5.81678i			0.212682i
$749$	−3.69895	−	9.58989i	−0.135157	−	0.350407i
$750$	−16.8516	−	8.93082i	−0.615334	−	0.326107i
$751$	−18.9063			−0.689900			−0.344950	−	0.938621i	$-0.612104\pi$
$751$	−18.9063			−0.689900			−0.344950	+	0.938621i	$0.612104\pi$
$752$	−2.16386	+	3.74791i	−0.0789078	+	0.136672i
$753$	7.34220	+	11.7145i	0.267565	+	0.426901i
$754$	0.833277	−	0.481093i	0.0303462	−	0.0175204i
$755$	−4.07736			−0.148390
$756$	3.42453	−	1.76949i	0.124549	−	0.0643558i
$757$	−40.7873			−1.48244			−0.741220	−	0.671262i	$-0.765752\pi$
$757$	−40.7873			−1.48244			−0.741220	+	0.671262i	$0.765752\pi$
$758$	5.08353	−	2.93498i	0.184642	−	0.106603i
$759$	−0.196972	−	0.314270i	−0.00714964	−	0.0114073i
$760$	−0.438017	+	0.758668i	−0.0158886	+	0.0275198i
$761$	−42.6212			−1.54502			−0.772508	−	0.635005i	$-0.780998\pi$
$761$	−42.6212			−1.54502			−0.772508	+	0.635005i	$0.780998\pi$
$762$	−6.13958	−	3.25378i	−0.222413	−	0.117872i
$763$	−1.05085	+	6.70473i	−0.0380435	+	0.242728i
$764$			0.881003i			0.0318736i
$765$	−12.5315	+	0.910522i	−0.453079	+	0.0329200i
$766$	16.5866	−	9.57627i	0.599298	−	0.346005i
$767$		−	9.17078i		−	0.331138i
$768$	11.4295	−	0.414680i	0.412428	−	0.0149635i
$769$	−0.932209	+	0.538211i	−0.0336163	+	0.0194084i	−0.516714	−	0.856158i	$-0.672845\pi$
$769$	−0.932209	+	0.538211i	−0.0336163	+	0.0194084i	0.483098	+	0.875566i	$0.339512\pi$
$770$	−1.84471	+	11.7698i	−0.0664789	+	0.424153i
$771$	2.46729	+	3.93658i	0.0888573	+	0.141772i
$772$	0.842584	+	1.45940i	0.0303253	+	0.0525249i
$773$	2.96855	+	5.14169i	0.106771	+	0.184934i	0.914461	−	0.404675i	$-0.132615\pi$
$773$	2.96855	+	5.14169i	0.106771	+	0.184934i	−0.807689	+	0.589609i	$0.799282\pi$
$774$	52.4082	+	25.3851i	1.88377	+	0.912449i
$775$	−24.9722	−	14.4177i	−0.897028	−	0.517899i
$776$	−1.86150	+	3.22421i	−0.0668240	+	0.115742i
$777$	−23.0861	−	17.2894i	−0.828211	−	0.620254i
$778$	15.5248	+	26.8898i	0.556592	+	0.964046i
$779$		−	3.29370i		−	0.118009i
$780$	−0.937137	+	0.587360i	−0.0335549	+	0.0210309i
$781$	13.4824			0.482437
$782$	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
$786$	19.0345	+	10.0877i	0.678938	+	0.359815i
$787$	−7.65434	−	4.41923i	−0.272848	−	0.157529i	0.357333	−	0.933977i	$-0.383686\pi$
$787$	−7.65434	−	4.41923i	−0.272848	−	0.157529i	−0.630181	+	0.776448i	$0.717019\pi$
$788$	−3.42140	−	1.97535i	−0.121882	−	0.0703688i
$789$	−34.3948	+	21.5573i	−1.22449	+	0.767461i
$790$	−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
$794$	22.6065			0.802275
$795$	−8.86334	−	4.69728i	−0.314350	−	0.166595i
$796$			2.21529i			0.0785190i
$797$	19.0123	+	32.9303i	0.673450	+	1.16645i	0.976919	+	0.213609i	$0.0685218\pi$
$797$	19.0123	+	32.9303i	0.673450	+	1.16645i	−0.303469	+	0.952841i	$0.598145\pi$
$798$	−0.357821	+	2.98755i	−0.0126667	+	0.105758i
$799$	2.60601	−	4.51374i	0.0921940	−	0.159685i
$800$	−5.99855	−	3.46326i	−0.212081	−	0.122445i
$801$	26.3443	+	38.8290i	0.930831	+	1.37196i
$802$	−7.78939	−	13.4916i	−0.275053	−	0.476406i
$803$	15.6639	+	27.1307i	0.552767	+	0.957421i
$804$	−0.955536	+	1.80301i	−0.0336992	+	0.0635872i
$805$	0.0718369	−	0.0890041i	0.00253192	−	0.00313698i
$806$	−25.1678	+	14.5307i	−0.886499	+	0.511821i
$807$	−3.22733	+	6.08967i	−0.113607	+	0.214366i
$808$			41.6054i			1.46367i
$809$	14.6570	−	8.46222i	0.515312	−	0.297516i	−0.219702	−	0.975567i	$-0.570509\pi$
$809$	14.6570	−	8.46222i	0.515312	−	0.297516i	0.735015	+	0.678051i	$0.237175\pi$
$810$	9.79832	+	3.89696i	0.344278	+	0.136925i
$811$		−	26.9840i		−	0.947536i	−0.880650	−	0.473768i	$-0.842894\pi$
$811$		−	26.9840i		−	0.947536i	0.880650	−	0.473768i	$-0.157106\pi$
$812$	−0.159092	−	0.0249351i	−0.00558304	−	0.000875049i
$813$	−0.785360	−	21.6464i	−0.0275438	−	0.759172i
$814$	−36.5275			−1.28029
$815$	−4.46308	+	7.73028i	−0.156335	+	0.270780i
$816$	−41.8790	+	1.51943i	−1.46606	+	0.0531906i
$817$	−4.84021	+	2.79450i	−0.169338	+	0.0977671i
$818$	−27.9668			−0.977836
$819$	13.2802	−	19.1420i	0.464049	−	0.668875i
$820$	−1.64793			−0.0575484
$821$	27.7572	−	16.0256i	0.968732	−	0.559297i	0.0698823	−	0.997555i	$-0.477738\pi$
$821$	27.7572	−	16.0256i	0.968732	−	0.559297i	0.898849	+	0.438258i	$0.144404\pi$
$822$	21.2222	−	40.0443i	0.740209	−	1.39671i
$823$	−10.3974	+	18.0089i	−0.362431	+	0.627749i	−0.988360	−	0.152131i	$-0.951387\pi$
$823$	−10.3974	+	18.0089i	−0.362431	+	0.627749i	0.625929	+	0.779880i	$0.284720\pi$
$824$	43.7973			1.52575
$825$	24.8062	−	15.5475i	0.863641	−	0.541296i
$826$	−7.84015	+	9.71373i	−0.272794	+	0.337984i
$827$		−	34.0792i		−	1.18505i	−0.805552	−	0.592525i	$-0.798131\pi$
$827$		−	34.0792i		−	1.18505i	0.805552	−	0.592525i	$-0.201869\pi$
$828$	−0.0387841	+	0.0263139i	−0.00134784	+	0.000914470i
$829$	−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	$0.533413\pi$
$830$		−	10.1004i		−	0.350589i
$831$	18.1126	+	28.8987i	0.628318	+	1.00248i
$832$	16.7416	−	9.66575i	0.580410	−	0.335100i
$833$	27.9989	−	25.3742i	0.970106	−	0.879164i
$834$	16.5300	−	0.599731i	0.572387	−	0.0207670i
$835$	6.50371	+	11.2648i	0.225070	+	0.389833i
$836$	0.234267	+	0.405763i	0.00810231	+	0.0140336i
$837$	31.1792	+	13.7299i	1.07771	+	0.474573i
$838$	16.6788	+	9.62953i	0.576161	+	0.332647i
$839$	11.7633	−	20.3747i	0.406115	−	0.703412i	−0.588335	−	0.808617i	$-0.700216\pi$
$839$	11.7633	−	20.3747i	0.406115	−	0.703412i	0.994451	+	0.105205i	$0.0335498\pi$
$840$	−9.16736	−	1.09798i	−0.316304	−	0.0378840i
$841$	−14.4764	−	25.0739i	−0.499188	−	0.864618i
$842$		−	20.5008i		−	0.706506i
$843$	−0.510112	−	14.0599i	−0.0175692	−	0.484248i
$844$	1.44579			0.0497661
$845$	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
$849$	−0.0844003	−	2.32627i	−0.00289661	−	0.0798374i
$850$	31.0474	+	17.9252i	1.06492	+	0.614831i
$851$	0.303707	+	0.175345i	0.0104109	+	0.00601076i
$852$	−0.0617717	−	1.70257i	−0.00211627	−	0.0583292i
$853$	39.7270	+	22.9364i	1.36023	+	0.785328i	0.989654	−	0.143475i	$-0.0458277\pi$
$853$	39.7270	+	22.9364i	1.36023	+	0.785328i	0.370574	+	0.928803i	$0.379161\pi$
$854$	−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
$857$	18.2455			0.623253			0.311627	−	0.950205i	$-0.399126\pi$
$857$	18.2455			0.623253			0.311627	+	0.950205i	$0.399126\pi$
$858$	−1.06978	−	29.4858i	−0.0365218	−	1.00663i
$859$		−	5.81666i		−	0.198462i	−0.995064	−	0.0992309i	$-0.968362\pi$
$859$		−	5.81666i		−	0.198462i	0.995064	−	0.0992309i	$-0.0316382\pi$
$860$	1.39817	+	2.42170i	0.0476771	+	0.0825792i
$861$	31.9137	−	13.6585i	1.08761	−	0.465482i
$862$	27.2950	−	47.2763i	0.929671	−	1.61024i
$863$	−27.7060	−	15.9961i	−0.943123	−	0.544513i	−0.0521854	−	0.998637i	$-0.516619\pi$
$863$	−27.7060	−	15.9961i	−0.943123	−	0.544513i	−0.890938	+	0.454125i	$0.849952\pi$
$864$	7.48953	+	3.29804i	0.254799	+	0.112202i
$865$	−0.664458	−	1.15087i	−0.0225922	−	0.0391309i
$866$	−24.9230	−	43.1679i	−0.846918	−	1.46690i
$867$	21.0108	−	0.762301i	0.713564	−	0.0258891i
$868$	4.80513	+	0.753125i	0.163097	+	0.0255627i
$869$	16.5157	−	9.53533i	0.560256	−	0.323464i
$870$	−0.233950	−	0.373269i	−0.00793165	−	0.0126550i
$871$			12.3332i			0.417893i
$872$	−5.76857	+	3.33048i	−0.195348	+	0.112784i
$873$	−3.55922	+	2.41482i	−0.120461	+	0.0817294i
$874$		−	0.0365846i		−	0.00123749i
$875$	15.0123	+	12.1167i	0.507507	+	0.409619i
$876$	3.35434	−	2.10237i	0.113333	−	0.0710324i
$877$	−48.3898			−1.63401			−0.817004	−	0.576632i	$-0.804367\pi$
$877$	−48.3898			−1.63401			−0.817004	+	0.576632i	$0.804367\pi$
$878$	23.0756	−	39.9681i	0.778763	−	1.34886i
$879$	−17.2434	+	32.5366i	−0.581604	+	1.09743i
$880$	−11.5745	+	6.68253i	−0.390176	+	0.225268i
$881$	26.6822			0.898946			0.449473	−	0.893294i	$-0.351612\pi$
$881$	26.6822			0.898946			0.449473	+	0.893294i	$0.351612\pi$
$882$	−30.4311	+	8.92192i	−1.02467	+	0.300417i
$883$	35.0484			1.17947			0.589737	−	0.807595i	$-0.299231\pi$
$883$	35.0484			1.17947			0.589737	+	0.807595i	$0.299231\pi$
$884$	3.84736	−	2.22128i	0.129401	−	0.0747096i
$885$	−4.19597	+	0.152235i	−0.141046	+	0.00511734i
$886$	−15.6315	+	27.0745i	−0.525149	+	0.909585i
$887$	12.9676			0.435410			0.217705	−	0.976015i	$-0.430143\pi$
$887$	12.9676			0.435410			0.217705	+	0.976015i	$0.430143\pi$
$888$	−1.02640	−	28.2901i	−0.0344438	−	0.949353i
$889$	5.46944	+	4.41449i	0.183439	+	0.148057i
$890$			18.3255i			0.614273i
$891$	−27.1401	+	21.4428i	−0.909228	+	0.718359i
$892$	1.06497	−	0.614862i	0.0356579	−	0.0205871i
$893$		−	0.419822i		−	0.0140488i
$894$	15.7070	−	29.6377i	0.525321	−	0.991231i
$895$	9.63184	−	5.56095i	0.321957	−	0.185882i
$896$	−34.2292	−	5.36486i	−1.14352	−	0.179227i
$897$	−0.132648	+	0.250294i	−0.00442898	+	0.00835708i
$898$	4.83414	+	8.37298i	0.161317	+	0.279410i
$899$	−0.711627	−	1.23257i	−0.0237341	−	0.0411086i
$900$	−2.07702	−	3.06133i	−0.0692341	−	0.102044i
$901$	34.8948	+	20.1465i	1.16251	+	0.671178i
$902$	21.9815	−	38.0730i	0.731902	−	1.26769i
$903$	−47.1484	−	35.3098i	−1.56900	−	1.17504i
$904$	−14.6783	−	25.4236i	−0.488193	−	0.845576i
$905$			3.74863i			0.124609i
$906$	−12.1451	−	6.43649i	−0.403493	−	0.213838i
$907$	−9.12613			−0.303028			−0.151514	−	0.988455i	$-0.548415\pi$
$907$	−9.12613			−0.303028			−0.151514	+	0.988455i	$0.548415\pi$
$908$	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	$0.374028\pi$
$912$	−2.86017	+	1.79264i	−0.0947098	+	0.0593604i
$913$	28.6921	+	16.5654i	0.949571	+	0.548235i
$914$	4.11533	+	2.37599i	0.136123	+	0.0785906i
$915$	−4.13722	−	2.19260i	−0.136772	−	0.0724850i
$916$	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	$-0.0600163\pi$
$920$	0.112261			0.00370112
$921$	−19.3869	+	12.1510i	−0.638821	+	0.400388i
$922$		−	22.4770i		−	0.740241i
$923$	−5.14856	−	8.91757i	−0.169467	−	0.293526i
$924$	−2.96008	+	3.95253i	−0.0973796	+	0.130029i
$925$	−13.8405	+	23.9724i	−0.455072	+	0.788208i
$926$	34.9480	+	20.1772i	1.14846	+	0.663065i
$927$	45.5373	+	22.0570i	1.49564	+	0.724447i
$928$	−0.170939	−	0.296076i	−0.00561136	−	0.00971915i
$929$	−11.7897	−	20.4204i	−0.386809	−	0.669973i	0.605209	−	0.796066i	$-0.293089\pi$
$929$	−11.7897	−	20.4204i	−0.386809	−	0.669973i	−0.992018	+	0.126093i	$0.959756\pi$
$930$	7.06609	+	11.2740i	0.231706	+	0.369689i
$931$	0.931201	−	2.89768i	0.0305189	−	0.0949676i
$932$	3.12944	−	1.80679i	0.102508	−	0.0591832i
$933$	−35.5483	+	1.28974i	−1.16380	+	0.0422243i
$934$			37.4403i			1.22509i
$935$	13.9396	−	8.04801i	0.455872	−	0.263198i
$936$	22.8063	−	1.65707i	0.745447	−	0.0541630i
$937$			52.5144i			1.71557i	0.514007	+	0.857786i	$0.328160\pi$
$937$			52.5144i			1.71557i	−0.514007	+	0.857786i	$0.671840\pi$
$938$	10.5437	−	13.0633i	0.344263	−	0.426533i
$939$	−25.2662	−	13.3903i	−0.824533	−	0.436976i
$940$	−0.210049			−0.00685105
$941$	−24.5713	+	42.5587i	−0.801000	+	1.38737i	0.117958	+	0.993019i	$0.462365\pi$
$941$	−24.5713	+	42.5587i	−0.801000	+	1.38737i	−0.918958	+	0.394354i	$0.870968\pi$
$942$	11.0959	+	17.7036i	0.361525	+	0.576815i
$943$	−0.365528	+	0.211038i	−0.0119032	+	0.00687234i
$944$	−14.0040			−0.455791
$945$	−8.97861	−	5.75844i	−0.292074	−	0.187322i
$946$	−74.5995			−2.42544
$947$	8.04907	−	4.64713i	0.261560	−	0.151012i	−0.363486	−	0.931600i	$-0.618414\pi$
$947$	8.04907	−	4.64713i	0.261560	−	0.151012i	0.625046	+	0.780588i	$0.285080\pi$
$948$	−1.27981	−	2.04194i	−0.0415662	−	0.0663191i
$949$	11.9633	−	20.7210i	0.388344	−	0.672632i
$950$	2.88772			0.0936899
$951$	−14.3337	−	7.59641i	−0.464803	−	0.246330i
$952$	36.6394	+	5.74262i	1.18749	+	0.186119i
$953$			40.3761i			1.30791i	0.756534	+	0.653955i	$0.226891\pi$
$953$			40.3761i			1.30791i	−0.756534	+	0.653955i	$0.773109\pi$
$954$	−18.9858	−	27.9832i	−0.614686	−	0.905989i
$955$	2.11127	−	1.21894i	0.0683191	−	0.0394440i
$956$		−	1.35469i		−	0.0438137i
$957$	1.44404	−	0.0523918i	0.0466792	−	0.00169359i
$958$	16.3827	−	9.45854i	0.529300	−	0.305592i
$959$	−28.7928	+	35.6734i	−0.929766	+	1.15196i
$960$	−4.70034	−	7.49943i	−0.151703	−	0.242043i
$961$	5.99358	+	10.3812i	0.193341	+	0.334877i
$962$	13.9489	+	24.1602i	0.449731	+	0.778957i
$963$	9.64448	−	6.54349i	0.310789	−	0.210861i
$964$	2.43638	+	1.40665i	0.0784706	+	0.0453050i
$965$	2.33157	−	4.03840i	0.0750560	−	0.130001i
$966$	0.354479	−	0.151711i	0.0114052	−	0.00488123i
$967$	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	$0.742155\pi$
$968$		−	9.79009i		−	0.314665i
$969$	3.44461	−	2.15894i	0.110657	−	0.0693552i
$970$	−1.67979			−0.0539348
$971$	−20.1321	+	34.8697i	−0.646068	+	1.11902i	0.337985	+	0.941151i	$0.390255\pi$
$971$	−20.1321	+	34.8697i	−0.646068	+	1.11902i	−0.984054	+	0.177872i	$0.943079\pi$
$972$	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
$975$	−19.7564	−	10.4702i	−0.632711	−	0.335316i
$976$	−13.5246	−	7.80845i	−0.432913	−	0.249942i
$977$	−22.9591	−	13.2555i	−0.734527	−	0.424080i	0.0855487	−	0.996334i	$-0.472736\pi$
$977$	−22.9591	−	13.2555i	−0.734527	−	0.424080i	−0.820076	+	0.572254i	$0.806069\pi$
$978$	−25.4969	+	15.9805i	−0.815302	+	0.510999i
$979$	−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
$983$	−38.2714			−1.22067			−0.610334	−	0.792144i	$-0.708965\pi$
$983$	−38.2714			−1.22067			−0.610334	+	0.792144i	$0.708965\pi$
$984$	30.1047	+	15.9545i	0.959703	+	0.508612i
$985$			10.9322i			0.348330i
$986$	0.884752	+	1.53243i	0.0281762	+	0.0488027i
$987$	4.06779	−	1.74095i	0.129479	−	0.0554150i
$988$	0.178921	−	0.309901i	0.00569225	−	0.00985926i
$989$	0.620255	+	0.358105i	0.0197230	+	0.0113871i
$990$	−13.4731	+	0.978931i	−0.428202	+	0.0311125i
$991$	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	$0.414953\pi$
$992$	5.16295	+	8.94250i	0.163924	+	0.283925i
$993$	−23.3944	+	44.1431i	−0.742399	+	1.40084i
$994$	−2.17030	+	13.8471i	−0.0688377	+	0.439202i
$995$	5.30881	−	3.06504i	0.168301	−	0.0971684i
$996$	1.96045	−	3.69919i	0.0621192	−	0.117213i
$997$		−	14.4115i		−	0.456415i	−0.973612	−	0.228208i	$-0.926713\pi$
$997$		−	14.4115i		−	0.456415i	0.973612	−	0.228208i	$-0.0732865\pi$
$998$	28.5996	−	16.5120i	0.905306	−	0.522679i
$999$	13.1802	−	29.9309i	0.417002	−	0.946973i

Twists

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

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
63.2.i.b.5.2	✓	10	9.5	odd	6
63.2.i.b.38.4	yes	10	7.3	odd	6
63.2.s.b.47.4	yes	10	1.1	even	1	trivial
63.2.s.b.59.4	yes	10	63.59	even	6	inner
189.2.i.b.143.2		10	21.17	even	6
189.2.i.b.152.4		10	9.4	even	3
189.2.s.b.17.2		10	63.31	odd	6
189.2.s.b.89.2		10	3.2	odd	2
441.2.i.b.68.2		10	63.41	even	6
441.2.i.b.227.4		10	7.4	even	3
441.2.o.c.146.2		10	7.2	even	3
441.2.o.c.293.2		10	63.5	even	6
441.2.o.d.146.2		10	7.5	odd	6
441.2.o.d.293.2		10	63.23	odd	6
441.2.s.b.362.4		10	7.6	odd	2
441.2.s.b.374.4		10	63.32	odd	6
567.2.p.c.80.2		10	63.38	even	6
567.2.p.c.404.2		10	9.7	even	3
567.2.p.d.80.4		10	63.52	odd	6
567.2.p.d.404.4		10	9.2	odd	6
1008.2.ca.b.257.2		10	36.23	even	6
1008.2.ca.b.353.2		10	28.3	even	6
1008.2.df.b.689.4		10	252.59	odd	6
1008.2.df.b.929.4		10	4.3	odd	2
1323.2.i.b.521.2		10	21.11	odd	6
1323.2.i.b.1097.4		10	63.13	odd	6
1323.2.o.c.440.4		10	21.5	even	6
1323.2.o.c.881.4		10	63.58	even	3
1323.2.o.d.440.4		10	21.2	odd	6
1323.2.o.d.881.4		10	63.40	odd	6
1323.2.s.b.656.2		10	21.20	even	2
1323.2.s.b.962.2		10	63.4	even	3
3024.2.ca.b.2033.3		10	84.59	odd	6
3024.2.ca.b.2609.3		10	36.31	odd	6
3024.2.df.b.17.3		10	252.31	even	6
3024.2.df.b.1601.3		10	12.11	even	2

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.s (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(1.30778 - 0.755047i) q^{2} +(-0.919842 - 1.46761i) q^{3} +(0.140193 - 0.242822i) q^{4} -0.775876 q^{5} +(-2.31107 - 1.22479i) q^{6} +(2.05881 + 1.66171i) q^{7} +2.59678i q^{8} +(-1.30778 + 2.69995i) q^{9} +O(q^{10})\)	\(q+(1.30778 - 0.755047i) q^{2} +(-0.919842 - 1.46761i) q^{3} +(0.140193 - 0.242822i) q^{4} -0.775876 q^{5} +(-2.31107 - 1.22479i) q^{6} +(2.05881 + 1.66171i) q^{7} +2.59678i q^{8} +(-1.30778 + 2.69995i) q^{9} +(-1.01468 + 0.585823i) q^{10} -3.84319i q^{11} +(-0.485324 + 0.0176082i) q^{12} +(-2.54198 + 1.46761i) q^{13} +(3.94715 + 0.618650i) q^{14} +(0.713684 + 1.13869i) q^{15} +(2.24108 + 3.88166i) q^{16} +(-2.69901 - 4.67482i) q^{17} +(0.328298 + 4.51837i) q^{18} +(-0.376551 - 0.217402i) q^{19} +(-0.108773 + 0.188400i) q^{20} +(0.544964 - 4.55006i) q^{21} +(-2.90179 - 5.02605i) q^{22} +0.0557186i q^{23} +(3.81107 - 2.38863i) q^{24} -4.39802 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} +(1.79310 + 0.950287i) q^{30} +(5.67806 + 3.27823i) q^{31} +(1.36392 + 0.787461i) q^{32} +(-5.64031 + 3.53513i) 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} -0.656595 q^{38} +(4.49211 + 2.38067i) q^{39} -2.01478i q^{40} +(3.78757 + 6.56026i) q^{41} +(-2.72281 - 6.36195i) q^{42} +(6.42703 - 11.1319i) q^{43} +(-0.933209 - 0.538789i) q^{44} +(1.01468 - 2.09482i) q^{45} +(0.0420702 + 0.0728677i) q^{46} +(0.482772 + 0.836186i) q^{47} +(3.63534 - 6.85955i) q^{48} +(1.47744 + 6.84231i) q^{49} +(-5.75164 + 3.32071i) q^{50} +(-4.37817 + 8.26120i) q^{51} +0.822998i q^{52} +(-6.46438 + 3.73221i) q^{53} +(6.32924 - 4.63800i) q^{54} +2.98184i q^{55} +(-4.31510 + 5.34629i) q^{56} +(0.0273056 + 0.752608i) q^{57} -0.327806 q^{58} +(-1.56219 + 2.70580i) q^{59} +(0.376551 - 0.0136618i) q^{60} +(-3.01744 + 1.74212i) q^{61} +9.90087 q^{62} +(-7.17901 + 3.38554i) q^{63} -6.58603 q^{64} +(1.97226 - 1.13869i) q^{65} +(-4.70711 + 8.88187i) q^{66} +(2.10088 - 3.63884i) q^{67} -1.51353 q^{68} +(0.0817733 - 0.0512523i) q^{69} +(-3.06250 - 0.479996i) q^{70} +3.50812i q^{71} +(-7.01117 - 3.39602i) q^{72} +(-7.05942 + 4.07576i) q^{73} -9.50448i q^{74} +(4.04548 + 6.45459i) q^{75} +(-0.105580 + 0.0609566i) q^{76} +(6.38626 - 7.91241i) q^{77} +(7.67222 - 0.278359i) q^{78} +(2.48110 + 4.29739i) q^{79} +(-1.73880 - 3.01169i) q^{80} +(-5.57942 - 7.06187i) q^{81} +(9.90662 + 5.71959i) q^{82} +(-4.31033 + 7.46571i) q^{83} +(-1.02845 - 0.770216i) q^{84} +(2.09410 + 3.62708i) q^{85} -19.4108i q^{86} +(0.0136324 + 0.375740i) q^{87} +9.97991 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} +(-0.411745 - 11.3487i) q^{93} +(1.26272 + 0.729031i) q^{94} +(0.292157 + 0.168677i) q^{95} +(-0.0989048 - 2.72605i) q^{96} +(1.24162 + 0.716849i) q^{97} +(7.09843 + 7.83270i) q^{98} +(10.3764 + 5.02605i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 10 q + 4 q^{4} - 12 q^{6} + 3 q^{7}+O(q^{10}) \) 10 * q + 4 * q^4 - 12 * q^6 + 3 * q^7	\( 10 q + 4 q^{4} - 12 q^{6} + 3 q^{7} - 15 q^{10} + 6 q^{13} - 6 q^{14} - 3 q^{15} - 6 q^{16} - 12 q^{17} - 18 q^{18} + 3 q^{19} - 3 q^{20} + 18 q^{21} + 5 q^{22} + 27 q^{24} - 14 q^{25} + 3 q^{26} + 27 q^{27} + 2 q^{28} - 15 q^{29} - 9 q^{31} + 48 q^{32} - 9 q^{33} + 3 q^{34} - 15 q^{35} - 18 q^{36} + 6 q^{37} + 36 q^{38} + 12 q^{39} - 9 q^{41} - 6 q^{42} + 3 q^{43} + 24 q^{44} + 15 q^{45} - 13 q^{46} + 15 q^{47} - 15 q^{48} - 23 q^{49} + 3 q^{50} - 24 q^{51} - 9 q^{53} + 27 q^{54} - 51 q^{56} - 36 q^{57} - 16 q^{58} - 18 q^{59} - 3 q^{60} + 12 q^{61} + 12 q^{62} + 9 q^{63} + 6 q^{64} - 3 q^{65} - 33 q^{66} - 10 q^{67} - 54 q^{68} - 3 q^{69} + 9 q^{70} + 18 q^{72} + 3 q^{73} - 21 q^{75} + 9 q^{76} + 45 q^{77} + 24 q^{78} + 20 q^{79} - 30 q^{80} - 48 q^{81} + 9 q^{82} - 15 q^{83} + 60 q^{84} + 18 q^{85} + 30 q^{87} + 16 q^{88} + 24 q^{89} + 24 q^{90} - 24 q^{91} + 39 q^{92} + 6 q^{93} - 3 q^{94} + 3 q^{96} + 6 q^{97} + 45 q^{98} + 21 q^{99}+O(q^{100}) \) 10 * q + 4 * q^4 - 12 * q^6 + 3 * q^7 - 15 * q^10 + 6 * q^13 - 6 * q^14 - 3 * q^15 - 6 * q^16 - 12 * q^17 - 18 * q^18 + 3 * q^19 - 3 * q^20 + 18 * q^21 + 5 * q^22 + 27 * q^24 - 14 * q^25 + 3 * q^26 + 27 * q^27 + 2 * q^28 - 15 * q^29 - 9 * q^31 + 48 * q^32 - 9 * q^33 + 3 * q^34 - 15 * q^35 - 18 * q^36 + 6 * q^37 + 36 * q^38 + 12 * q^39 - 9 * q^41 - 6 * q^42 + 3 * q^43 + 24 * q^44 + 15 * q^45 - 13 * q^46 + 15 * q^47 - 15 * q^48 - 23 * q^49 + 3 * q^50 - 24 * q^51 - 9 * q^53 + 27 * q^54 - 51 * q^56 - 36 * q^57 - 16 * q^58 - 18 * q^59 - 3 * q^60 + 12 * q^61 + 12 * q^62 + 9 * q^63 + 6 * q^64 - 3 * q^65 - 33 * q^66 - 10 * q^67 - 54 * q^68 - 3 * q^69 + 9 * q^70 + 18 * q^72 + 3 * q^73 - 21 * q^75 + 9 * q^76 + 45 * q^77 + 24 * q^78 + 20 * q^79 - 30 * q^80 - 48 * q^81 + 9 * q^82 - 15 * q^83 + 60 * q^84 + 18 * q^85 + 30 * q^87 + 16 * q^88 + 24 * q^89 + 24 * q^90 - 24 * q^91 + 39 * q^92 + 6 * q^93 - 3 * q^94 + 3 * q^96 + 6 * q^97 + 45 * q^98 + 21 * q^99

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