LMFDB - Embedded newform 66.2.h.b.41.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [66,2,Mod(17,66)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(66, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 9]))

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

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

chi := DirichletCharacter("66.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 66 = 2 \cdot 3 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	66.h (of order $10$, degree $4$, 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:	$0.527012653340$
Analytic rank:	$0$
Dimension:	$8$
Relative dimension:	$2$ over $\Q(\zeta_{10})$
Coefficient field:	8.0.185640625.1
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{8} - 3x^{7} + x^{6} + x^{5} + 4x^{4} + 3x^{3} + 9x^{2} - 81x + 81 $ x^8 - 3x^7 + x^6 + x^5 + 4x^4 + 3x^3 + 9x^2 - 81*x + 81
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			41.1
Root			$1.71634 + 0.232753i$ of defining polynomial
Character	$\chi$	$=$	66.41
Dual form			66.2.h.b.29.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(-0.309017 - 1.70426i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56076 + 2.14820i) q^{5} +(-1.25174 - 1.19714i) q^{6} +(1.56076 + 0.507121i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(-2.80902 + 1.05329i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(-0.309017 - 1.70426i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56076 + 2.14820i) q^{5} +(-1.25174 - 1.19714i) q^{6} +(1.56076 + 0.507121i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(-2.80902 + 1.05329i) q^{9} +2.65532i q^{10} +(2.77710 + 1.81321i) q^{11} +(-1.71634 - 0.232753i) q^{12} +(0.885446 + 1.21871i) q^{13} +(1.56076 - 0.507121i) q^{14} +(4.14339 + 1.99611i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-5.49344 - 3.99122i) q^{17} +(-1.65343 + 2.50323i) q^{18} +(-5.21982 + 1.69602i) q^{19} +(1.56076 + 2.14820i) q^{20} +(0.381966 - 2.81665i) q^{21} +(3.31250 - 0.165420i) q^{22} -4.78856i q^{23} +(-1.52536 + 0.820539i) q^{24} +(-0.633706 - 1.95035i) q^{25} +(1.43268 + 0.465507i) q^{26} +(2.66312 + 4.46182i) q^{27} +(0.964601 - 1.32766i) q^{28} +(-0.143392 + 0.441315i) q^{29} +(4.52536 - 0.820539i) q^{30} +(4.20067 - 3.05196i) q^{31} -1.00000 q^{32} +(2.23201 - 5.29321i) q^{33} -6.79026 q^{34} +(-3.52536 + 2.56132i) q^{35} +(0.133706 + 2.99702i) q^{36} +(0.311168 - 0.957676i) q^{37} +(-3.22603 + 4.44024i) q^{38} +(1.80339 - 1.88563i) q^{39} +(2.52536 + 0.820539i) q^{40} +(0.486479 + 1.49723i) q^{41} +(-1.34657 - 2.50323i) q^{42} -3.42500i q^{43} +(2.58263 - 2.08086i) q^{44} +(2.12151 - 7.67826i) q^{45} +(-2.81465 - 3.87403i) q^{46} +(9.52285 - 3.09416i) q^{47} +(-0.751740 + 1.56041i) q^{48} +(-3.48433 - 2.53151i) q^{49} +(-1.65906 - 1.20538i) q^{50} +(-5.10451 + 10.5956i) q^{51} +(1.43268 - 0.465507i) q^{52} +(5.77495 + 7.94853i) q^{53} +(4.77710 + 2.04434i) q^{54} +(-8.22951 + 3.13578i) q^{55} -1.64108i q^{56} +(4.50348 + 8.37184i) q^{57} +(0.143392 + 0.441315i) q^{58} +(-5.81307 - 1.88878i) q^{59} +(3.17879 - 3.32377i) q^{60} +(-8.17223 + 11.2481i) q^{61} +(1.60451 - 4.93818i) q^{62} +(-4.91834 + 0.219422i) q^{63} +(-0.809017 + 0.587785i) q^{64} -4.00000 q^{65} +(-1.30554 - 5.59424i) q^{66} +11.7972 q^{67} +(-5.49344 + 3.99122i) q^{68} +(-8.16097 + 1.47975i) q^{69} +(-1.34657 + 4.14431i) q^{70} +(0.527864 - 0.726543i) q^{71} +(1.86977 + 2.34605i) q^{72} +(-4.40076 - 1.42989i) q^{73} +(-0.311168 - 0.957676i) q^{74} +(-3.12808 + 1.68269i) q^{75} +5.48844i q^{76} +(3.41486 + 4.23830i) q^{77} +(0.350622 - 2.58551i) q^{78} +(-1.86762 - 2.57056i) q^{79} +(2.52536 - 0.820539i) q^{80} +(6.78115 - 5.91743i) q^{81} +(1.27362 + 0.925338i) q^{82} +(-1.51625 - 1.10162i) q^{83} +(-2.56076 - 1.23366i) q^{84} +(17.1478 - 5.57167i) q^{85} +(-2.01317 - 2.77089i) q^{86} +(0.796426 + 0.108003i) q^{87} +(0.866294 - 3.20149i) q^{88} +12.8092i q^{89} +(-2.79682 - 7.45883i) q^{90} +(0.763932 + 2.35114i) q^{91} +(-4.55420 - 1.47975i) q^{92} +(-6.49942 - 6.21593i) q^{93} +(5.88545 - 8.10062i) q^{94} +(4.50348 - 13.8603i) q^{95} +(0.309017 + 1.70426i) q^{96} +(2.90517 - 2.11073i) q^{97} -4.30687 q^{98} +(-9.71075 - 2.16824i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9}+O(q^{10}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9	$ 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9} - q^{11} - 3 q^{12} + 9 q^{15} - 2 q^{16} - 10 q^{17} - 7 q^{18} - 15 q^{19} + 12 q^{21} + 6 q^{22} + 3 q^{24} - 6 q^{25} - 10 q^{26} - 10 q^{27} + 5 q^{28} + 23 q^{29} + 21 q^{30} + 13 q^{31} - 8 q^{32} + 17 q^{33} + 10 q^{34} - 13 q^{35} + 2 q^{36} + 6 q^{37} + 10 q^{38} + 18 q^{39} + 5 q^{40} + 2 q^{41} - 17 q^{42} + 9 q^{44} - 8 q^{45} - 10 q^{46} + 10 q^{47} + 2 q^{48} - 18 q^{49} + q^{50} - 30 q^{51} - 10 q^{52} + 15 q^{53} + 15 q^{54} - 14 q^{55} + 20 q^{57} - 23 q^{58} - 25 q^{59} + 4 q^{60} - 10 q^{61} + 2 q^{62} + 16 q^{63} - 2 q^{64} - 32 q^{65} - 22 q^{66} - 2 q^{67} - 10 q^{68} - 26 q^{69} - 17 q^{70} + 40 q^{71} - 2 q^{72} + 5 q^{73} - 6 q^{74} - 34 q^{75} - 12 q^{77} - 8 q^{78} + 10 q^{79} + 5 q^{80} + 14 q^{81} + 3 q^{82} - 21 q^{83} - 8 q^{84} + 30 q^{85} + 25 q^{86} + 42 q^{87} + 6 q^{88} + 8 q^{90} + 24 q^{91} + 10 q^{92} - 53 q^{93} + 40 q^{94} + 20 q^{95} - 2 q^{96} + 9 q^{97} - 22 q^{98} + 34 q^{99}+O(q^{100}) $ 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9 - q^11 - 3 * q^12 + 9 * q^15 - 2 * q^16 - 10 * q^17 - 7 * q^18 - 15 * q^19 + 12 * q^21 + 6 * q^22 + 3 * q^24 - 6 * q^25 - 10 * q^26 - 10 * q^27 + 5 * q^28 + 23 * q^29 + 21 * q^30 + 13 * q^31 - 8 * q^32 + 17 * q^33 + 10 * q^34 - 13 * q^35 + 2 * q^36 + 6 * q^37 + 10 * q^38 + 18 * q^39 + 5 * q^40 + 2 * q^41 - 17 * q^42 + 9 * q^44 - 8 * q^45 - 10 * q^46 + 10 * q^47 + 2 * q^48 - 18 * q^49 + q^50 - 30 * q^51 - 10 * q^52 + 15 * q^53 + 15 * q^54 - 14 * q^55 + 20 * q^57 - 23 * q^58 - 25 * q^59 + 4 * q^60 - 10 * q^61 + 2 * q^62 + 16 * q^63 - 2 * q^64 - 32 * q^65 - 22 * q^66 - 2 * q^67 - 10 * q^68 - 26 * q^69 - 17 * q^70 + 40 * q^71 - 2 * q^72 + 5 * q^73 - 6 * q^74 - 34 * q^75 - 12 * q^77 - 8 * q^78 + 10 * q^79 + 5 * q^80 + 14 * q^81 + 3 * q^82 - 21 * q^83 - 8 * q^84 + 30 * q^85 + 25 * q^86 + 42 * q^87 + 6 * q^88 + 8 * q^90 + 24 * q^91 + 10 * q^92 - 53 * q^93 + 40 * q^94 + 20 * q^95 - 2 * q^96 + 9 * q^97 - 22 * q^98 + 34 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/66\mathbb{Z}\right)^\times$.

$n$	$13$	$23$
$\chi(n)$	$e\left(\frac{3}{10}\right)$	$-1$

Coefficient data

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

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

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

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	−0.309017	−	1.70426i	−0.178411	−	0.983956i
$3$	−0.309017	−	1.70426i	−0.178411	−	0.983956i
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	−1.56076	+	2.14820i	−0.697992	+	0.960703i	0.301981	+	0.953314i	$0.402352\pi$
$5$	−1.56076	+	2.14820i	−0.697992	+	0.960703i	−0.999973	+	0.00738926i	$0.997648\pi$
$6$	−1.25174	−	1.19714i	−0.511021	−	0.488731i
$7$	1.56076	+	0.507121i	0.589911	+	0.191674i	0.588736	−	0.808326i	$-0.299626\pi$
$7$	1.56076	+	0.507121i	0.589911	+	0.191674i	0.00117514	+	0.999999i	$0.499626\pi$
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	−2.80902	+	1.05329i	−0.936339	+	0.351097i
$10$			2.65532i			0.839685i
$11$	2.77710	+	1.81321i	0.837327	+	0.546703i
$11$	2.77710	+	1.81321i	0.837327	+	0.546703i
$12$	−1.71634	−	0.232753i	−0.495465	−	0.0671901i
$13$	0.885446	+	1.21871i	0.245579	+	0.338010i	0.913957	−	0.405812i	$-0.133011\pi$
$13$	0.885446	+	1.21871i	0.245579	+	0.338010i	−0.668378	+	0.743822i	$0.733011\pi$
$14$	1.56076	−	0.507121i	0.417130	−	0.135534i
$15$	4.14339	+	1.99611i	1.06982	+	0.515393i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	−5.49344	−	3.99122i	−1.33235	−	0.968012i	−0.999688	−	0.0249677i	$-0.992052\pi$
$17$	−5.49344	−	3.99122i	−1.33235	−	0.968012i	−0.332666	−	0.943045i	$-0.607948\pi$
$18$	−1.65343	+	2.50323i	−0.389718	+	0.590017i
$19$	−5.21982	+	1.69602i	−1.19751	+	0.389094i	−0.838844	−	0.544372i	$-0.816768\pi$
$19$	−5.21982	+	1.69602i	−1.19751	+	0.389094i	−0.358665	+	0.933466i	$0.616768\pi$
$20$	1.56076	+	2.14820i	0.348996	+	0.480352i
$21$	0.381966	−	2.81665i	0.0833518	−	0.614643i
$22$	3.31250	−	0.165420i	0.706227	−	0.0352677i
$23$		−	4.78856i		−	0.998485i	−0.866462	−	0.499242i	$-0.833612\pi$
$23$		−	4.78856i		−	0.998485i	0.866462	−	0.499242i	$-0.166388\pi$
$24$	−1.52536	+	0.820539i	−0.311362	+	0.167492i
$25$	−0.633706	−	1.95035i	−0.126741	−	0.390069i
$26$	1.43268	+	0.465507i	0.280972	+	0.0912933i
$27$	2.66312	+	4.46182i	0.512517	+	0.858677i
$28$	0.964601	−	1.32766i	0.182292	−	0.250904i
$29$	−0.143392	+	0.441315i	−0.0266272	+	0.0819501i	−0.963487	−	0.267755i	$-0.913718\pi$
$29$	−0.143392	+	0.441315i	−0.0266272	+	0.0819501i	0.936860	+	0.349705i	$0.113718\pi$
$30$	4.52536	−	0.820539i	0.826214	−	0.149809i
$31$	4.20067	−	3.05196i	0.754462	−	0.548149i	−0.142744	−	0.989760i	$-0.545593\pi$
$31$	4.20067	−	3.05196i	0.754462	−	0.548149i	0.897207	+	0.441611i	$0.145593\pi$
$32$	−1.00000			−0.176777
$33$	2.23201	−	5.29321i	0.388544	−	0.921430i
$34$	−6.79026			−1.16452
$35$	−3.52536	+	2.56132i	−0.595894	+	0.432943i
$36$	0.133706	+	2.99702i	0.0222843	+	0.499503i
$37$	0.311168	−	0.957676i	0.0511557	−	0.157441i	−0.922215	−	0.386677i	$-0.873623\pi$
$37$	0.311168	−	0.957676i	0.0511557	−	0.157441i	0.973371	+	0.229236i	$0.0736228\pi$
$38$	−3.22603	+	4.44024i	−0.523331	+	0.720303i
$39$	1.80339	−	1.88563i	0.288773	−	0.301943i
$40$	2.52536	+	0.820539i	0.399294	+	0.129739i
$41$	0.486479	+	1.49723i	0.0759752	+	0.233828i	0.981831	−	0.189759i	$-0.0607708\pi$
$41$	0.486479	+	1.49723i	0.0759752	+	0.233828i	−0.905855	+	0.423587i	$0.860771\pi$
$42$	−1.34657	−	2.50323i	−0.207780	−	0.386257i
$43$		−	3.42500i		−	0.522308i	−0.965297	−	0.261154i	$-0.915897\pi$
$43$		−	3.42500i		−	0.522308i	0.965297	−	0.261154i	$-0.0841030\pi$
$44$	2.58263	−	2.08086i	0.389347	−	0.313702i
$45$	2.12151	−	7.67826i	0.316257	−	1.14461i
$46$	−2.81465	−	3.87403i	−0.414997	−	0.571195i
$47$	9.52285	−	3.09416i	1.38905	−	0.451330i	0.483417	−	0.875390i	$-0.339396\pi$
$47$	9.52285	−	3.09416i	1.38905	−	0.451330i	0.905634	+	0.424060i	$0.139396\pi$
$48$	−0.751740	+	1.56041i	−0.108504	+	0.225226i
$49$	−3.48433	−	2.53151i	−0.497761	−	0.361645i
$50$	−1.65906	−	1.20538i	−0.234627	−	0.170467i
$51$	−5.10451	+	10.5956i	−0.714775	+	1.48368i
$52$	1.43268	−	0.465507i	0.198677	−	0.0645541i
$53$	5.77495	+	7.94853i	0.793250	+	1.09181i	0.993696	+	0.112110i	$0.0357609\pi$
$53$	5.77495	+	7.94853i	0.793250	+	1.09181i	−0.200446	+	0.979705i	$0.564239\pi$
$54$	4.77710	+	2.04434i	0.650081	+	0.278200i
$55$	−8.22951	+	3.13578i	−1.10967	+	0.422828i
$56$		−	1.64108i		−	0.219298i
$57$	4.50348	+	8.37184i	0.596500	+	1.10888i
$58$	0.143392	+	0.441315i	0.0188283	+	0.0579475i
$59$	−5.81307	−	1.88878i	−0.756798	−	0.245898i	−0.0948939	−	0.995487i	$-0.530251\pi$
$59$	−5.81307	−	1.88878i	−0.756798	−	0.245898i	−0.661904	+	0.749589i	$0.730251\pi$
$60$	3.17879	−	3.32377i	0.410380	−	0.429097i
$61$	−8.17223	+	11.2481i	−1.04635	+	1.44017i	−0.154413	+	0.988006i	$0.549349\pi$
$61$	−8.17223	+	11.2481i	−1.04635	+	1.44017i	−0.891934	+	0.452166i	$0.850651\pi$
$62$	1.60451	−	4.93818i	0.203773	−	0.627150i
$63$	−4.91834	+	0.219422i	−0.619652	+	0.0276446i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−4.00000			−0.496139
$66$	−1.30554	−	5.59424i	−0.160700	−	0.688604i
$67$	11.7972			1.44126			0.720630	−	0.693320i	$-0.243853\pi$
$67$	11.7972			1.44126			0.720630	+	0.693320i	$0.243853\pi$
$68$	−5.49344	+	3.99122i	−0.666177	+	0.484006i
$69$	−8.16097	+	1.47975i	−0.982465	+	0.178141i
$70$	−1.34657	+	4.14431i	−0.160946	+	0.495339i
$71$	0.527864	−	0.726543i	0.0626459	−	0.0862247i	−0.776544	−	0.630062i	$-0.783029\pi$
$71$	0.527864	−	0.726543i	0.0626459	−	0.0862247i	0.839190	+	0.543838i	$0.183029\pi$
$72$	1.86977	+	2.34605i	0.220355	+	0.276485i
$73$	−4.40076	−	1.42989i	−0.515070	−	0.167356i	0.0399366	−	0.999202i	$-0.487284\pi$
$73$	−4.40076	−	1.42989i	−0.515070	−	0.167356i	−0.555007	+	0.831846i	$0.687284\pi$
$74$	−0.311168	−	0.957676i	−0.0361725	−	0.111328i
$75$	−3.12808	+	1.68269i	−0.361199	+	0.194300i
$76$			5.48844i			0.629568i
$77$	3.41486	+	4.23830i	0.389159	+	0.482999i
$78$	0.350622	−	2.58551i	0.0397001	−	0.292752i
$79$	−1.86762	−	2.57056i	−0.210124	−	0.289211i	0.690927	−	0.722925i	$-0.257203\pi$
$79$	−1.86762	−	2.57056i	−0.210124	−	0.289211i	−0.901051	+	0.433714i	$0.857203\pi$
$80$	2.52536	−	0.820539i	0.282344	−	0.0917390i
$81$	6.78115	−	5.91743i	0.753461	−	0.657492i
$82$	1.27362	+	0.925338i	0.140648	+	0.102186i
$83$	−1.51625	−	1.10162i	−0.166430	−	0.120918i	0.501453	−	0.865185i	$-0.332799\pi$
$83$	−1.51625	−	1.10162i	−0.166430	−	0.120918i	−0.667882	+	0.744267i	$0.732799\pi$
$84$	−2.56076	−	1.23366i	−0.279401	−	0.134604i
$85$	17.1478	−	5.57167i	1.85994	−	0.604333i
$86$	−2.01317	−	2.77089i	−0.217085	−	0.298792i
$87$	0.796426	+	0.108003i	0.0853859	+	0.0115792i
$88$	0.866294	−	3.20149i	0.0923473	−	0.341280i
$89$			12.8092i			1.35777i	0.734244	+	0.678886i	$0.237537\pi$
$89$			12.8092i			1.35777i	−0.734244	+	0.678886i	$0.762463\pi$
$90$	−2.79682	−	7.45883i	−0.294811	−	0.786230i
$91$	0.763932	+	2.35114i	0.0800818	+	0.246467i
$92$	−4.55420	−	1.47975i	−0.474808	−	0.154274i
$93$	−6.49942	−	6.21593i	−0.673959	−	0.644562i
$94$	5.88545	−	8.10062i	0.607037	−	0.835515i
$95$	4.50348	−	13.8603i	0.462047	−	1.42204i
$96$	0.309017	+	1.70426i	0.0315389	+	0.173940i
$97$	2.90517	−	2.11073i	0.294976	−	0.214312i	−0.430447	−	0.902616i	$-0.641644\pi$
$97$	2.90517	−	2.11073i	0.294976	−	0.214312i	0.725423	+	0.688303i	$0.241644\pi$
$98$	−4.30687			−0.435059
$99$	−9.71075	−	2.16824i	−0.975967	−	0.217916i
$100$	−2.05072			−0.205072
$101$	9.84754	−	7.15466i	0.979867	−	0.711915i	0.0221881	−	0.999754i	$-0.492937\pi$
$101$	9.84754	−	7.15466i	0.979867	−	0.711915i	0.957679	+	0.287839i	$0.0929367\pi$
$102$	2.09831	+	11.5724i	0.207763	+	1.14584i
$103$	0.273973	−	0.843203i	0.0269954	−	0.0830833i	−0.936651	−	0.350264i	$-0.886092\pi$
$103$	0.273973	−	0.843203i	0.0269954	−	0.0830833i	0.963647	+	0.267180i	$0.0860920\pi$
$104$	0.885446	−	1.21871i	0.0868251	−	0.119505i
$105$	5.45456	+	5.21664i	0.532311	+	0.509092i
$106$	9.34406	+	3.03607i	0.907575	+	0.294889i
$107$	−0.689654	−	2.12254i	−0.0666713	−	0.205193i	0.912171	−	0.409810i	$-0.134405\pi$
$107$	−0.689654	−	2.12254i	−0.0666713	−	0.205193i	−0.978842	+	0.204617i	$0.934405\pi$
$108$	5.06639	−	1.15400i	0.487513	−	0.111044i
$109$		−	4.73524i		−	0.453554i	−0.973947	−	0.226777i	$-0.927181\pi$
$109$		−	4.73524i		−	0.453554i	0.973947	−	0.226777i	$-0.0728188\pi$
$110$	−4.81465	+	7.37408i	−0.459059	+	0.703091i
$111$	−1.72829	−	0.234373i	−0.164042	−	0.0222457i
$112$	−0.964601	−	1.32766i	−0.0911462	−	0.125452i
$113$	3.70508	−	1.20385i	0.348545	−	0.113249i	−0.129512	−	0.991578i	$-0.541341\pi$
$113$	3.70508	−	1.20385i	0.348545	−	0.113249i	0.478057	+	0.878329i	$0.341341\pi$
$114$	8.56424	+	4.12588i	0.802114	+	0.386424i
$115$	10.2868	+	7.47379i	0.959248	+	0.696934i
$116$	0.375405	+	0.272747i	0.0348555	+	0.0253240i
$117$	−3.77089	−	2.49075i	−0.348619	−	0.230270i
$118$	−5.81307	+	1.88878i	−0.535137	+	0.173876i
$119$	−6.54989	−	9.01516i	−0.600428	−	0.826418i
$120$	0.618034	−	4.55743i	0.0564185	−	0.416035i
$121$	4.42454	+	10.0709i	0.402231	+	0.915538i
$122$			13.9034i			1.25876i
$123$	2.40134	−	1.29176i	0.216521	−	0.116474i
$124$	−1.60451	−	4.93818i	−0.144089	−	0.443462i
$125$	−7.44800	−	2.42000i	−0.666169	−	0.216451i
$126$	−3.85005	+	3.06844i	−0.342989	+	0.273359i
$127$	−0.138938	+	0.191232i	−0.0123288	+	0.0169691i	−0.815137	−	0.579268i	$-0.803338\pi$
$127$	−0.138938	+	0.191232i	−0.0123288	+	0.0169691i	0.802808	+	0.596237i	$0.203338\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	−5.83710	+	1.05838i	−0.513928	+	0.0931855i
$130$	−3.23607	+	2.35114i	−0.283822	+	0.206209i
$131$	−5.26741			−0.460216			−0.230108	−	0.973165i	$-0.573908\pi$
$131$	−5.26741			−0.460216			−0.230108	+	0.973165i	$0.573908\pi$
$132$	−4.34442	−	3.75846i	−0.378133	−	0.327132i
$133$	−9.00696			−0.781002
$134$	9.54415	−	6.93423i	0.824489	−	0.599027i
$135$	−13.7413	−	1.24290i	−1.18267	−	0.106972i
$136$	−2.09831	+	6.45792i	−0.179928	+	0.553762i
$137$	0.545331	−	0.750584i	0.0465908	−	0.0641267i	−0.785086	−	0.619387i	$-0.787381\pi$
$137$	0.545331	−	0.750584i	0.0465908	−	0.0641267i	0.831677	+	0.555260i	$0.187381\pi$
$138$	−5.73259	+	5.99404i	−0.487990	+	0.510246i
$139$	−8.03945	−	2.61218i	−0.681898	−	0.221562i	−0.0524716	−	0.998622i	$-0.516710\pi$
$139$	−8.03945	−	2.61218i	−0.681898	−	0.221562i	−0.629426	+	0.777060i	$0.716710\pi$
$140$	1.34657	+	4.14431i	0.113806	+	0.350258i
$141$	−8.21599	−	15.2733i	−0.691911	−	1.28624i
$142$		−	0.898056i		−	0.0753632i
$143$	0.249191	+	4.98998i	0.0208384	+	0.417283i
$144$	2.89165	+	0.798968i	0.240971	+	0.0665807i
$145$	−0.724231	−	0.996819i	−0.0601441	−	0.0827813i
$146$	−4.40076	+	1.42989i	−0.364210	+	0.118339i
$147$	−3.23764	+	6.72049i	−0.267036	+	0.554296i
$148$	−0.814648	−	0.591876i	−0.0669636	−	0.0486519i
$149$	14.6202	+	10.6222i	1.19774	+	0.870206i	0.994060	−	0.108832i	$-0.0347112\pi$
$149$	14.6202	+	10.6222i	1.19774	+	0.870206i	0.203676	+	0.979038i	$0.434711\pi$
$150$	−1.54160	+	3.19996i	−0.125872	+	0.261276i
$151$	−12.6775	+	4.11917i	−1.03168	+	0.335213i	−0.775454	−	0.631403i	$-0.782479\pi$
$151$	−12.6775	+	4.11917i	−1.03168	+	0.335213i	−0.256226	+	0.966617i	$0.582479\pi$
$152$	3.22603	+	4.44024i	0.261665	+	0.360151i
$153$	19.6351	+	5.42520i	1.58740	+	0.438602i
$154$	5.25389	+	1.42166i	0.423371	+	0.114560i
$155$			13.7872i			1.10742i
$156$	−1.23607	−	2.29782i	−0.0989646	−	0.183972i
$157$	3.00000	+	9.23305i	0.239426	+	0.736878i	0.996503	+	0.0835524i	$0.0266266\pi$
$157$	3.00000	+	9.23305i	0.239426	+	0.736878i	−0.757077	+	0.653325i	$0.773373\pi$
$158$	−3.02188	−	0.981868i	−0.240408	−	0.0781132i
$159$	11.7618	−	12.2983i	0.932773	−	0.975315i
$160$	1.56076	−	2.14820i	0.123389	−	0.169830i
$161$	2.42838	−	7.47379i	0.191383	−	0.589017i
$162$	2.00789	−	8.77316i	0.157755	−	0.689285i
$163$	−5.72951	+	4.16273i	−0.448770	+	0.326050i	−0.789110	−	0.614252i	$-0.789458\pi$
$163$	−5.72951	+	4.16273i	−0.448770	+	0.326050i	0.340340	+	0.940302i	$0.389458\pi$
$164$	1.57428			0.122930
$165$	7.88724	+	13.0562i	0.614021	+	1.01643i
$166$	−1.87418			−0.145465
$167$	2.05072	−	1.48993i	0.158689	−	0.115294i	−0.505607	−	0.862764i	$-0.668731\pi$
$167$	2.05072	−	1.48993i	0.158689	−	0.115294i	0.664296	+	0.747470i	$0.268731\pi$
$168$	−2.79682	+	0.507121i	−0.215780	+	0.0391252i
$169$	3.31598	−	10.2055i	0.255075	−	0.785041i
$170$	10.5980	−	14.5868i	0.812826	−	1.11876i
$171$	12.8762	−	10.2622i	0.984664	−	0.784766i
$172$	−3.25737	−	1.05838i	−0.248372	−	0.0807010i
$173$	0.293345	+	0.902823i	0.0223026	+	0.0686404i	0.961588	−	0.274496i	$-0.0885109\pi$
$173$	0.293345	+	0.902823i	0.0223026	+	0.0686404i	−0.939286	+	0.343136i	$0.888511\pi$
$174$	0.707805	−	0.380751i	0.0536586	−	0.0288647i
$175$		−	3.36538i		−	0.254399i
$176$	−1.18094	−	3.09925i	−0.0890168	−	0.233615i
$177$	−1.42264	+	10.4907i	−0.106932	+	0.788526i
$178$	7.52906	+	10.3629i	0.564327	+	0.776729i
$179$	−17.6570	+	5.73709i	−1.31974	+	0.428810i	−0.882407	−	0.470488i	$-0.844078\pi$
$179$	−17.6570	+	5.73709i	−1.31974	+	0.428810i	−0.437336	+	0.899298i	$0.644078\pi$
$180$	−6.64687	−	4.39039i	−0.495429	−	0.327240i
$181$	−10.4196	−	7.57025i	−0.774480	−	0.562692i	0.128837	−	0.991666i	$-0.458875\pi$
$181$	−10.4196	−	7.57025i	−0.774480	−	0.562692i	−0.903317	+	0.428973i	$0.858875\pi$
$182$	2.00000	+	1.45309i	0.148250	+	0.107710i
$183$	21.6951	+	10.4518i	1.60375	+	0.772617i
$184$	−4.55420	+	1.47975i	−0.335740	+	0.109088i
$185$	1.57162	+	2.16315i	0.115548	+	0.159038i
$186$	−8.91178	−	1.20853i	−0.653443	−	0.0886135i
$187$	−8.01891	−	21.0448i	−0.586400	−	1.53894i
$188$		−	10.0129i		−	0.730267i
$189$	1.89380	+	8.31433i	0.137754	+	0.604779i
$190$	−4.50348	−	13.8603i	−0.326717	−	1.00553i
$191$	−3.07080	−	0.997763i	−0.222195	−	0.0721956i	0.195804	−	0.980643i	$-0.437268\pi$
$191$	−3.07080	−	0.997763i	−0.222195	−	0.0721956i	−0.417999	+	0.908448i	$0.637268\pi$
$192$	1.25174	+	1.19714i	0.0903366	+	0.0863962i
$193$	5.73979	−	7.90015i	0.413159	−	0.568665i	−0.550826	−	0.834620i	$-0.685687\pi$
$193$	5.73979	−	7.90015i	0.413159	−	0.568665i	0.963985	+	0.265955i	$0.0856872\pi$
$194$	1.10968	−	3.41524i	0.0796702	−	0.245200i
$195$	1.23607	+	6.81705i	0.0885167	+	0.488179i
$196$	−3.48433	+	2.53151i	−0.248881	+	0.180822i
$197$	−13.9679			−0.995175			−0.497587	−	0.867414i	$-0.665781\pi$
$197$	−13.9679			−0.995175			−0.497587	+	0.867414i	$0.665781\pi$
$198$	−9.13062	+	3.95369i	−0.648885	+	0.280977i
$199$	15.9679			1.13194			0.565969	−	0.824427i	$-0.308502\pi$
$199$	15.9679			1.13194			0.565969	+	0.824427i	$0.308502\pi$
$200$	−1.65906	+	1.20538i	−0.117314	+	0.0852333i
$201$	−3.64554	−	20.1056i	−0.257137	−	1.41814i
$202$	3.76143	−	11.5765i	0.264653	−	0.814518i
$203$	−0.447600	+	0.616068i	−0.0314153	+	0.0432395i
$204$	8.49964	+	8.12890i	0.595094	+	0.569137i
$205$	−3.97562	−	1.29176i	−0.277669	−	0.0902201i
$206$	−0.273973	−	0.843203i	−0.0190886	−	0.0587487i
$207$	5.04376	+	13.4512i	0.350565	+	0.934920i
$208$		−	1.50641i		−	0.104451i
$209$	−17.5712	−	4.75461i	−1.21543	−	0.328883i
$210$	7.47910	+	1.01424i	0.516107	+	0.0699893i
$211$	1.33315	+	1.83493i	0.0917782	+	0.126322i	0.852437	−	0.522830i	$-0.175124\pi$
$211$	1.33315	+	1.83493i	0.0917782	+	0.126322i	−0.760659	+	0.649152i	$0.775124\pi$
$212$	9.34406	−	3.03607i	0.641753	−	0.208518i
$213$	−1.40134	−	0.675105i	−0.0960181	−	0.0462574i
$214$	−1.80554	−	1.31180i	−0.123424	−	0.0896728i
$215$	7.35758	+	5.34560i	0.501783	+	0.364567i
$216$	3.42049	−	3.91155i	0.232735	−	0.266148i
$217$	8.10394	−	2.63313i	0.550131	−	0.178748i
$218$	−2.78330	−	3.83089i	−0.188509	−	0.259461i
$219$	−1.07700	+	7.94191i	−0.0727772	+	0.536665i
$220$	0.439243	+	8.79573i	0.0296138	+	0.593008i
$221$		−	10.2289i		−	0.688072i
$222$	−1.53597	+	0.826249i	−0.103088	+	0.0554542i
$223$	1.36009	+	4.18592i	0.0910782	+	0.280310i	0.986212	−	0.165488i	$-0.0529199\pi$
$223$	1.36009	+	4.18592i	0.0910782	+	0.280310i	−0.895134	+	0.445798i	$0.852920\pi$
$224$	−1.56076	−	0.507121i	−0.104282	−	0.0338834i
$225$	3.83437	+	4.81108i	0.255625	+	0.320739i
$226$	2.28987	−	3.15173i	0.152320	−	0.209650i
$227$	3.93483	−	12.1102i	0.261164	−	0.803780i	−0.731388	−	0.681961i	$-0.761127\pi$
$227$	3.93483	−	12.1102i	0.261164	−	0.803780i	0.992552	−	0.121819i	$-0.0388727\pi$
$228$	9.35375	−	1.69602i	0.619467	−	0.112322i
$229$	−5.19661	+	3.77556i	−0.343402	+	0.249496i	−0.746096	−	0.665839i	$-0.768074\pi$
$229$	−5.19661	+	3.77556i	−0.343402	+	0.249496i	0.402694	+	0.915335i	$0.368074\pi$
$230$	12.7152			0.838413
$231$	6.16793	−	7.12952i	0.405820	−	0.469088i
$232$	0.464026			0.0304648
$233$	−13.5999	+	9.88087i	−0.890956	+	0.647318i	−0.936127	−	0.351662i	$-0.885617\pi$
$233$	−13.5999	+	9.88087i	−0.890956	+	0.647318i	0.0451710	+	0.998979i	$0.485617\pi$
$234$	−4.51474	+	0.201416i	−0.295138	+	0.0131670i
$235$	−8.21599	+	25.2862i	−0.535952	+	1.64949i
$236$	−3.59268	+	4.94489i	−0.233863	+	0.321885i
$237$	−3.80378	+	3.97727i	−0.247082	+	0.258351i
$238$	−10.5980	−	3.44348i	−0.686963	−	0.223208i
$239$	3.72018	+	11.4495i	0.240638	+	0.740608i	0.996323	+	0.0856731i	$0.0273041\pi$
$239$	3.72018	+	11.4495i	0.240638	+	0.740608i	−0.755685	+	0.654935i	$0.772696\pi$
$240$	−2.17879	−	4.05031i	−0.140640	−	0.261446i
$241$			20.5642i			1.32466i	0.749214	+	0.662328i	$0.230432\pi$
$241$			20.5642i			1.32466i	−0.749214	+	0.662328i	$0.769568\pi$
$242$	9.49907	+	5.54686i	0.610623	+	0.356566i
$243$	−12.1803	−	9.72827i	−0.781369	−	0.624069i
$244$	8.17223	+	11.2481i	0.523173	+	0.720086i
$245$	10.8764	−	3.53395i	0.694866	−	0.225776i
$246$	1.18345	−	2.45652i	0.0754539	−	0.156622i
$247$	−6.68883	−	4.85972i	−0.425600	−	0.309217i
$248$	−4.20067	−	3.05196i	−0.266743	−	0.193800i
$249$	−1.40890	+	2.92450i	−0.0892854	+	0.185333i
$250$	−7.44800	+	2.42000i	−0.471053	+	0.153054i
$251$	9.61958	+	13.2402i	0.607183	+	0.835715i	0.996342	−	0.0854552i	$-0.0272344\pi$
$251$	9.61958	+	13.2402i	0.607183	+	0.835715i	−0.389159	+	0.921170i	$0.627234\pi$
$252$	−1.31117	+	4.74542i	−0.0825958	+	0.298934i
$253$	8.68267	−	13.2983i	0.545875	−	0.836058i
$254$			0.236376i			0.0148315i
$255$	−14.7946	−	27.5027i	−0.926472	−	1.72228i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	−8.11843	−	2.63784i	−0.506414	−	0.164544i	0.0446568	−	0.999002i	$-0.485781\pi$
$257$	−8.11843	−	2.63784i	−0.506414	−	0.164544i	−0.551071	+	0.834459i	$0.685781\pi$
$258$	−4.10021	+	4.28721i	−0.255268	+	0.266910i
$259$	0.971314	−	1.33690i	0.0603545	−	0.0830709i
$260$	−1.23607	+	3.80423i	−0.0766577	+	0.235928i
$261$	−0.0620430	−	1.39069i	−0.00384037	−	0.0860818i
$262$	−4.26143	+	3.09611i	−0.263272	+	0.191278i
$263$	13.5666			0.836553			0.418276	−	0.908320i	$-0.362634\pi$
$263$	13.5666			0.836553			0.418276	+	0.908320i	$0.362634\pi$
$264$	−5.72388	−	0.487077i	−0.352280	−	0.0299775i
$265$	−26.0883			−1.60259
$266$	−7.28678	+	5.29416i	−0.446781	+	0.324606i
$267$	21.8302	−	3.95826i	1.33599	−	0.242242i
$268$	3.64554	−	11.2198i	0.222687	−	0.685360i
$269$	6.96435	−	9.58561i	0.424624	−	0.584445i	−0.542085	−	0.840324i	$-0.682365\pi$
$269$	6.96435	−	9.58561i	0.424624	−	0.584445i	0.966709	+	0.255879i	$0.0823648\pi$
$270$	−11.8475	+	7.07143i	−0.721018	+	0.430353i
$271$	20.5918	+	6.69068i	1.25086	+	0.406430i	0.858230	−	0.513266i	$-0.171564\pi$
$271$	20.5918	+	6.69068i	1.25086	+	0.406430i	0.392632	+	0.919696i	$0.371564\pi$
$272$	2.09831	+	6.45792i	0.127229	+	0.391569i
$273$	3.77089	−	2.02848i	0.228225	−	0.122769i
$274$		−	0.927773i		−	0.0560488i
$275$	1.77652	−	6.56534i	0.107128	−	0.395905i
$276$	−1.11455	+	8.21881i	−0.0670883	+	0.494714i
$277$	−2.39438	−	3.29558i	−0.143864	−	0.198012i	0.731004	−	0.682373i	$-0.239052\pi$
$277$	−2.39438	−	3.29558i	−0.143864	−	0.198012i	−0.874868	+	0.484361i	$0.839052\pi$
$278$	−8.03945	+	2.61218i	−0.482174	+	0.156668i
$279$	−8.58514	+	12.9976i	−0.513979	+	0.778143i
$280$	3.52536	+	2.56132i	0.210680	+	0.153068i
$281$	−14.4528	−	10.5006i	−0.862182	−	0.626412i	0.0662956	−	0.997800i	$-0.478882\pi$
$281$	−14.4528	−	10.5006i	−0.862182	−	0.626412i	−0.928478	+	0.371388i	$0.878882\pi$
$282$	−15.6243	−	7.52711i	−0.930413	−	0.448233i
$283$	2.89090	−	0.939310i	0.171846	−	0.0558362i	−0.221830	−	0.975085i	$-0.571203\pi$
$283$	2.89090	−	0.939310i	0.171846	−	0.0558362i	0.393676	+	0.919249i	$0.371203\pi$
$284$	−0.527864	−	0.726543i	−0.0313230	−	0.0431124i
$285$	−25.0132	−	3.39205i	−1.48165	−	0.200927i
$286$	3.13464	+	3.89051i	0.185355	+	0.230051i
$287$			2.58351i			0.152500i
$288$	2.80902	−	1.05329i	0.165523	−	0.0620658i
$289$	8.99477	+	27.6830i	0.529104	+	1.62841i
$290$	−1.17183	−	0.380751i	−0.0688123	−	0.0223585i
$291$	−4.49499	−	4.29892i	−0.263501	−	0.252007i
$292$	−2.71982	+	3.74351i	−0.159165	+	0.219072i
$293$	−7.21279	+	22.1987i	−0.421376	+	1.29686i	0.485046	+	0.874489i	$0.338803\pi$
$293$	−7.21279	+	22.1987i	−0.421376	+	1.29686i	−0.906422	+	0.422373i	$0.861197\pi$
$294$	1.33089	+	7.34003i	0.0776194	+	0.428079i
$295$	13.1303	−	9.53970i	0.764474	−	0.555423i
$296$	−1.00696			−0.0585284
$297$	−0.694463	+	17.2197i	−0.0402968	+	0.999188i
$298$	18.0716			1.04686
$299$	5.83588	−	4.24002i	0.337498	−	0.245206i
$300$	0.633706	+	3.49496i	0.0365870	+	0.201781i
$301$	1.73689	−	5.34560i	0.100113	−	0.308115i
$302$	−7.83513	+	10.7841i	−0.450861	+	0.620557i
$303$	−15.2365	−	14.5719i	−0.875312	−	0.837132i
$304$	5.21982	+	1.69602i	0.299377	+	0.0972736i
$305$	−11.4083	−	35.1111i	−0.653237	−	2.01046i
$306$	19.0740	−	7.15213i	1.09039	−	0.408860i
$307$		−	30.0216i		−	1.71342i	−0.515794	−	0.856712i	$-0.672503\pi$
$307$		−	30.0216i		−	1.71342i	0.515794	−	0.856712i	$-0.327497\pi$
$308$	5.08611	−	1.93802i	0.289808	−	0.110429i
$309$	−1.52170	−	0.206358i	−0.0865666	−	0.0117393i
$310$	8.10394	+	11.1541i	0.460273	+	0.633511i
$311$	0.470986	−	0.153033i	0.0267071	−	0.00867768i	−0.295633	−	0.955302i	$-0.595531\pi$
$311$	0.470986	−	0.153033i	0.0267071	−	0.00867768i	0.322340	+	0.946624i	$0.395531\pi$
$312$	−2.35062	−	1.13243i	−0.133078	−	0.0641112i
$313$	22.9590	+	16.6807i	1.29772	+	0.942849i	0.999931	−	0.0117826i	$-0.00375062\pi$
$313$	22.9590	+	16.6807i	1.29772	+	0.942849i	0.297790	+	0.954632i	$0.403751\pi$
$314$	7.85410	+	5.70634i	0.443233	+	0.322027i
$315$	7.20497	−	10.9080i	0.405954	−	0.614598i
$316$	−3.02188	+	0.981868i	−0.169994	+	0.0552344i
$317$	−3.90331	−	5.37244i	−0.219232	−	0.301747i	0.685209	−	0.728347i	$-0.259711\pi$
$317$	−3.90331	−	5.37244i	−0.219232	−	0.301747i	−0.904440	+	0.426600i	$0.859711\pi$
$318$	2.28678	−	16.8629i	0.128236	−	0.945626i
$319$	−1.19841	+	0.965575i	−0.0670980	+	0.0540618i
$320$		−	2.65532i		−	0.148437i
$321$	−3.40424	+	1.83125i	−0.190006	+	0.102210i
$322$	−2.42838	−	7.47379i	−0.135328	−	0.416498i
$323$	35.4440	+	11.5164i	1.97215	+	0.640792i
$324$	−3.53232	−	8.27785i	−0.196240	−	0.459880i
$325$	1.81580	−	2.49923i	0.100722	−	0.138632i
$326$	−2.18848	+	6.73544i	−0.121209	+	0.373041i
$327$	−8.07009	+	1.46327i	−0.446277	+	0.0809190i
$328$	1.27362	−	0.925338i	0.0703238	−	0.0510932i
$329$	16.4320			0.905924
$330$	14.0552	+	5.92670i	0.773712	+	0.326254i
$331$	7.41016			0.407299			0.203650	−	0.979044i	$-0.434720\pi$
$331$	7.41016			0.407299			0.203650	+	0.979044i	$0.434720\pi$
$332$	−1.51625	+	1.10162i	−0.0832149	+	0.0604591i
$333$	0.134637	+	3.01788i	0.00737804	+	0.165379i
$334$	0.783304	−	2.41076i	0.0428605	−	0.131911i
$335$	−18.4126	+	25.3428i	−1.00599	+	1.38462i
$336$	−1.96460	+	2.05420i	−0.107178	+	0.112066i
$337$	−32.5392	−	10.5726i	−1.77252	−	0.575927i	−0.774152	−	0.632999i	$-0.781824\pi$
$337$	−32.5392	−	10.5726i	−1.77252	−	0.575927i	−0.998370	+	0.0570720i	$0.981824\pi$
$338$	−3.31598	−	10.2055i	−0.180365	−	0.555108i
$339$	−3.19661	−	5.94241i	−0.173616	−	0.322748i
$340$		−	18.0303i		−	0.977831i
$341$	17.1995	−	0.858913i	0.931406	−	0.0465127i
$342$	4.38509	−	15.8707i	0.237119	−	0.858188i
$343$	−10.9066	−	15.0117i	−0.588902	−	0.810554i
$344$	−3.25737	+	1.05838i	−0.175626	+	0.0570642i
$345$	9.55850	−	19.8409i	0.514612	−	1.06820i
$346$	0.767987	+	0.557975i	0.0412872	+	0.0299969i
$347$	−16.9283	−	12.2991i	−0.908760	−	0.660252i	0.0319413	−	0.999490i	$-0.489831\pi$
$347$	−16.9283	−	12.2991i	−0.908760	−	0.660252i	−0.940701	+	0.339237i	$0.889831\pi$
$348$	0.348827	−	0.724072i	0.0186991	−	0.0388143i
$349$	28.0113	−	9.10144i	1.49941	−	0.487189i	0.559566	−	0.828786i	$-0.310968\pi$
$349$	28.0113	−	9.10144i	1.49941	−	0.487189i	0.939847	+	0.341597i	$0.110968\pi$
$350$	−1.97812	−	2.72265i	−0.105735	−	0.145532i
$351$	−3.07962	+	7.19627i	−0.164378	+	0.384109i
$352$	−2.77710	−	1.81321i	−0.148020	−	0.0966444i
$353$		−	24.3265i		−	1.29477i	−0.762163	−	0.647385i	$-0.775863\pi$
$353$		−	24.3265i		−	1.29477i	0.762163	−	0.647385i	$-0.224137\pi$
$354$	5.01532	+	9.32333i	0.266561	+	0.495529i
$355$	0.736889	+	2.26791i	0.0391100	+	0.120368i
$356$	12.1823	+	3.95826i	0.645659	+	0.209787i
$357$	−13.3402	+	13.9486i	−0.706036	+	0.738237i
$358$	−10.9126	+	15.0199i	−0.576749	+	0.793827i
$359$	−10.1134	+	31.1259i	−0.533765	+	1.64276i	0.212537	+	0.977153i	$0.431827\pi$
$359$	−10.1134	+	31.1259i	−0.533765	+	1.64276i	−0.746302	+	0.665607i	$0.768173\pi$
$360$	−7.95804	+	0.355032i	−0.419426	+	0.0187118i
$361$	8.99871	−	6.53795i	0.473617	−	0.344103i
$362$	−12.8793			−0.676920
$363$	15.7962	−	10.6527i	0.829087	−	0.559120i
$364$	2.47214			0.129575
$365$	9.94022	−	7.22199i	0.520295	−	0.378016i
$366$	23.6951	−	4.29640i	1.23856	−	0.224576i
$367$	−3.67822	+	11.3204i	−0.192001	+	0.590919i	0.807997	+	0.589186i	$0.200552\pi$
$367$	−3.67822	+	11.3204i	−0.192001	+	0.590919i	−0.999998	+	0.00173292i	$0.999448\pi$
$368$	−2.81465	+	3.87403i	−0.146724	+	0.201948i
$369$	−2.94354	−	3.69333i	−0.153235	−	0.192267i
$370$	2.54293	+	0.826249i	0.132201	+	0.0429547i
$371$	4.98242	+	15.3343i	0.258675	+	0.796118i
$372$	−7.92013	+	4.26049i	−0.410640	+	0.220896i
$373$			27.7804i			1.43841i	0.694796	+	0.719207i	$0.255495\pi$
$373$			27.7804i			1.43841i	−0.694796	+	0.719207i	$0.744505\pi$
$374$	−18.8572	−	12.3122i	−0.975084	−	0.636647i
$375$	−1.82276	+	13.4412i	−0.0941268	+	0.694099i
$376$	−5.88545	−	8.10062i	−0.303519	−	0.417758i
$377$	−0.664801	+	0.216007i	−0.0342390	+	0.0111249i
$378$	6.41916	+	5.61329i	0.330166	+	0.288716i
$379$	6.36264	+	4.62273i	0.326827	+	0.237454i	0.739083	−	0.673614i	$-0.235259\pi$
$379$	6.36264	+	4.62273i	0.326827	+	0.237454i	−0.412256	+	0.911068i	$0.635259\pi$
$380$	−11.7903	−	8.56613i	−0.604828	−	0.439433i
$381$	0.368843	+	0.177693i	0.0188964	+	0.00910349i
$382$	−3.07080	+	0.997763i	−0.157116	+	0.0510500i
$383$	−7.61538	−	10.4817i	−0.389128	−	0.535588i	0.568846	−	0.822444i	$-0.307390\pi$
$383$	−7.61538	−	10.4817i	−0.389128	−	0.535588i	−0.957974	+	0.286856i	$0.907390\pi$
$384$	1.71634	+	0.232753i	0.0875867	+	0.0118776i
$385$	−14.4345	+	0.720832i	−0.735649	+	0.0367370i
$386$		−	9.76512i		−	0.497032i
$387$	3.60753	+	9.62089i	0.183381	+	0.489057i
$388$	−1.10968	−	3.41524i	−0.0563353	−	0.173382i
$389$	24.6301	+	8.00280i	1.24880	+	0.405758i	0.857489	−	0.514502i	$-0.172023\pi$
$389$	24.6301	+	8.00280i	1.24880	+	0.405758i	0.391306	+	0.920261i	$0.372023\pi$
$390$	5.00696	+	4.78856i	0.253537	+	0.242478i
$391$	−19.1122	+	26.3057i	−0.966546	+	1.33034i
$392$	−1.33089	+	4.09607i	−0.0672203	+	0.206883i
$393$	1.62772	+	8.97705i	0.0821076	+	0.452832i
$394$	−11.3003	+	8.21015i	−0.569301	+	0.413621i
$395$	8.43698			0.424511
$396$	−5.06291	+	8.56545i	−0.254421	+	0.430430i
$397$	−17.9986			−0.903323			−0.451661	−	0.892189i	$-0.649168\pi$
$397$	−17.9986			−0.903323			−0.451661	+	0.892189i	$0.649168\pi$
$398$	12.9183	−	9.38572i	0.647538	−	0.470464i
$399$	2.78330	+	15.3502i	0.139339	+	0.768472i
$400$	−0.633706	+	1.95035i	−0.0316853	+	0.0975173i
$401$	−2.21479	+	3.04840i	−0.110601	+	0.152230i	−0.860729	−	0.509063i	$-0.829992\pi$
$401$	−2.21479	+	3.04840i	−0.110601	+	0.152230i	0.750128	+	0.661293i	$0.229992\pi$
$402$	−14.7671	−	14.1229i	−0.736514	−	0.704388i
$403$	7.43893	+	2.41706i	0.370560	+	0.120402i
$404$	−3.76143	−	11.5765i	−0.187138	−	0.575951i
$405$	2.12808	+	23.8029i	0.105745	+	1.18278i
$406$			0.761502i			0.0377927i
$407$	2.60061	−	2.09535i	0.128907	−	0.103863i
$408$	11.6544	+	1.58046i	0.576979	+	0.0782442i
$409$	−8.44886	−	11.6289i	−0.417769	−	0.575010i	0.547323	−	0.836922i	$-0.315647\pi$
$409$	−8.44886	−	11.6289i	−0.417769	−	0.575010i	−0.965092	+	0.261912i	$0.915647\pi$
$410$	−3.97562	+	1.29176i	−0.196342	+	0.0637953i
$411$	−1.44771	−	0.697444i	−0.0714102	−	0.0344024i
$412$	−0.717271	−	0.521128i	−0.0353374	−	0.0256741i
$413$	−8.11495	−	5.89586i	−0.399311	−	0.290116i
$414$	11.9869	+	7.91757i	0.589123	+	0.389127i
$415$	4.73299	−	1.53784i	0.232333	−	0.0754896i
$416$	−0.885446	−	1.21871i	−0.0434126	−	0.0597523i
$417$	−1.96751	+	14.5085i	−0.0963492	+	0.710486i
$418$	−17.0101	+	6.48153i	−0.831990	+	0.317022i
$419$		−	31.1601i		−	1.52227i	−0.648595	−	0.761134i	$-0.724643\pi$
$419$		−	31.1601i		−	1.52227i	0.648595	−	0.761134i	$-0.275357\pi$
$420$	6.64687	−	3.57556i	0.324334	−	0.174470i
$421$	−3.34251	−	10.2872i	−0.162904	−	0.501367i	0.835972	−	0.548773i	$-0.184905\pi$
$421$	−3.34251	−	10.2872i	−0.162904	−	0.501367i	−0.998876	+	0.0474055i	$0.984905\pi$
$422$	2.15709	+	0.700881i	0.105005	+	0.0341183i
$423$	−23.4908	+	18.7219i	−1.14216	+	0.910290i
$424$	5.77495	−	7.94853i	0.280456	−	0.386015i
$425$	−4.30303	+	13.2434i	−0.208728	+	0.642398i
$426$	−1.53052	+	0.277515i	−0.0741541	+	0.0134456i
$427$	−18.4590	+	13.4113i	−0.893294	+	0.649016i
$428$	−2.23177			−0.107877
$429$	8.42723	−	1.96667i	0.406870	−	0.0949520i
$430$	9.09447			0.438574
$431$	−32.2249	+	23.4128i	−1.55222	+	1.12775i	−0.610173	+	0.792268i	$0.708900\pi$
$431$	−32.2249	+	23.4128i	−1.55222	+	1.12775i	−0.942046	+	0.335484i	$0.891100\pi$
$432$	0.468081	−	5.17503i	0.0225206	−	0.248984i
$433$	4.99226	−	15.3646i	0.239913	−	0.738376i	−0.756519	−	0.653972i	$-0.773101\pi$
$433$	4.99226	−	15.3646i	0.239913	−	0.738376i	0.996432	−	0.0844037i	$-0.0268985\pi$
$434$	5.00851	−	6.89362i	0.240416	−	0.330904i
$435$	−1.47504	+	1.54231i	−0.0707228	+	0.0739483i
$436$	−4.50348	−	1.46327i	−0.215678	−	0.0700779i
$437$	8.12151	+	24.9954i	0.388505	+	1.19569i
$438$	3.79682	+	7.05819i	0.181419	+	0.337253i
$439$		−	6.13994i		−	0.293043i	−0.989207	−	0.146522i	$-0.953192\pi$
$439$		−	6.13994i		−	0.293043i	0.989207	−	0.146522i	$-0.0468078\pi$
$440$	5.52536	+	6.85772i	0.263411	+	0.326929i
$441$	12.4540	+	3.44105i	0.593046	+	0.163859i
$442$	−6.01241	−	8.27537i	−0.285981	−	0.393619i
$443$	−1.55768	+	0.506119i	−0.0740074	+	0.0240465i	−0.345787	−	0.938313i	$-0.612388\pi$
$443$	−1.55768	+	0.506119i	−0.0740074	+	0.0240465i	0.271779	+	0.962360i	$0.412388\pi$
$444$	−0.756972	+	1.57127i	−0.0359243	+	0.0745693i
$445$	−27.5167	−	19.9920i	−1.30442	−	0.947714i
$446$	3.56076	+	2.58704i	0.168607	+	0.122500i
$447$	13.5851	−	28.1991i	0.642555	−	1.33377i
$448$	−1.56076	+	0.507121i	−0.0737388	+	0.0239592i
$449$	−10.7458	−	14.7903i	−0.507125	−	0.697997i	0.476306	−	0.879279i	$-0.341975\pi$
$449$	−10.7458	−	14.7903i	−0.507125	−	0.697997i	−0.983431	+	0.181282i	$0.941975\pi$
$450$	5.92996	+	1.63846i	0.279541	+	0.0772376i
$451$	−1.36379	+	5.04004i	−0.0642183	+	0.237326i
$452$		−	3.89575i		−	0.183241i
$453$	10.9377	+	20.3329i	0.513898	+	0.955323i
$454$	−3.93483	−	12.1102i	−0.184671	−	0.568358i
$455$	−6.24303	−	2.02848i	−0.292678	−	0.0950967i
$456$	6.57044	−	6.87011i	0.307689	−	0.321722i
$457$	16.4490	−	22.6402i	0.769454	−	1.05906i	−0.226915	−	0.973915i	$-0.572864\pi$
$457$	16.4490	−	22.6402i	0.769454	−	1.05906i	0.996368	−	0.0851474i	$-0.0271361\pi$
$458$	−1.98493	+	6.10899i	−0.0927497	+	0.285454i
$459$	3.17839	−	35.1398i	0.148355	−	1.64019i
$460$	10.2868	−	7.47379i	0.479624	−	0.348467i
$461$	30.3359			1.41288			0.706441	−	0.707772i	$-0.250300\pi$
$461$	30.3359			1.41288			0.706441	+	0.707772i	$0.250300\pi$
$462$	0.799331	−	9.39332i	0.0371883	−	0.437017i
$463$	−10.9632			−0.509503			−0.254752	−	0.967007i	$-0.581994\pi$
$463$	−10.9632			−0.509503			−0.254752	+	0.967007i	$0.581994\pi$
$464$	0.375405	−	0.272747i	0.0174277	−	0.0126620i
$465$	23.4971	−	4.26049i	1.08965	−	0.197576i
$466$	−5.19468	+	15.9876i	−0.240639	+	0.740611i
$467$	18.9376	−	26.0653i	0.876326	−	1.20616i	−0.101099	−	0.994876i	$-0.532236\pi$
$467$	18.9376	−	26.0653i	0.876326	−	1.20616i	0.977425	−	0.211283i	$-0.0677640\pi$
$468$	−3.53411	+	2.81665i	−0.163364	+	0.130200i
$469$	18.4126	+	5.98262i	0.850215	+	0.276252i
$470$	8.21599	+	25.2862i	0.378975	+	1.16637i
$471$	14.8085	−	7.96596i	0.682339	−	0.367052i
$472$			6.11223i			0.281338i
$473$	6.21025	−	9.51157i	0.285547	−	0.437342i
$474$	−0.739548	+	5.45348i	−0.0339686	+	0.250487i
$475$	6.61566	+	9.10568i	0.303547	+	0.417797i
$476$	−10.5980	+	3.44348i	−0.485756	+	0.157832i
$477$	−24.5940	−	16.2449i	−1.12608	−	0.743801i
$478$	9.73955	+	7.07620i	0.445477	+	0.323658i
$479$	15.2361	+	11.0697i	0.696154	+	0.505785i	0.878677	−	0.477416i	$-0.158427\pi$
$479$	15.2361	+	11.0697i	0.696154	+	0.505785i	−0.182524	+	0.983201i	$0.558427\pi$
$480$	−4.14339	−	1.99611i	−0.189119	−	0.0911095i
$481$	1.44265	−	0.468746i	0.0657793	−	0.0213730i
$482$	12.0873	+	16.6368i	0.550563	+	0.757785i
$483$	−13.4877	−	1.82907i	−0.613712	−	0.0832255i
$484$	10.9453	−	1.09591i	0.497512	−	0.0498140i
$485$			9.53523i			0.432972i
$486$	−15.5722	−	0.710915i	−0.706371	−	0.0322478i
$487$	−8.30030	−	25.5457i	−0.376123	−	1.15759i	−0.942718	−	0.333591i	$-0.891740\pi$
$487$	−8.30030	−	25.5457i	−0.376123	−	1.15759i	0.566595	−	0.823996i	$-0.308260\pi$
$488$	13.2229	+	4.29640i	0.598575	+	0.194489i
$489$	8.86490	+	8.47823i	0.400885	+	0.383399i
$490$	6.72197	−	9.25200i	0.303668	−	0.417963i
$491$	−5.88351	+	18.1076i	−0.265519	+	0.817184i	0.726054	+	0.687638i	$0.241352\pi$
$491$	−5.88351	+	18.1076i	−0.265519	+	0.817184i	−0.991573	+	0.129547i	$0.958648\pi$
$492$	−0.486479	−	2.68298i	−0.0219322	−	0.120958i
$493$	2.54910	−	1.85203i	0.114806	−	0.0834111i
$494$	−8.26785			−0.371988
$495$	19.8139	−	17.4765i	0.890570	−	0.785511i
$496$	−5.19231			−0.233142
$497$	1.19231	−	0.866266i	0.0534825	−	0.0388573i
$498$	0.579155	+	3.19410i	0.0259526	+	0.143131i
$499$	3.28175	−	10.1002i	0.146912	−	0.452147i	−0.850340	−	0.526233i	$-0.823604\pi$
$499$	3.28175	−	10.1002i	0.146912	−	0.452147i	0.997252	+	0.0740860i	$0.0236039\pi$
$500$	−4.60312	+	6.33565i	−0.205858	+	0.283339i
$501$	−3.17294	−	3.03454i	−0.141757	−	0.135573i
$502$	15.5648	+	5.05731i	0.694692	+	0.225719i
$503$	−9.56998	−	29.4534i	−0.426704	−	1.31326i	−0.901353	−	0.433085i	$-0.857425\pi$
$503$	−9.56998	−	29.4534i	−0.426704	−	1.31326i	0.474649	−	0.880175i	$-0.342575\pi$
$504$	1.72853	+	4.60981i	0.0769950	+	0.205337i
$505$			32.3211i			1.43827i
$506$	−0.792125	−	15.8621i	−0.0352142	−	0.705157i
$507$	−18.4176	−	2.49761i	−0.817954	−	0.110923i
$508$	0.138938	+	0.191232i	0.00616438	+	0.00848454i
$509$	−19.5685	+	6.35820i	−0.867359	+	0.281822i	−0.708699	−	0.705511i	$-0.750717\pi$
$509$	−19.5685	+	6.35820i	−0.867359	+	0.281822i	−0.158660	+	0.987333i	$0.550717\pi$
$510$	−28.1347	−	13.5541i	−1.24583	−	0.600186i
$511$	−6.14339	−	4.46344i	−0.271768	−	0.197451i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	−21.4683	−	18.7732i	−0.947851	−	0.828856i
$514$	−8.11843	+	2.63784i	−0.358089	+	0.116350i
$515$	1.38376	+	1.90458i	0.0609758	+	0.0839260i
$516$	−0.797180	+	5.87847i	−0.0350939	+	0.258785i
$517$	32.0563	+	8.67413i	1.40983	+	0.381488i
$518$		−	1.65250i		−	0.0726066i
$519$	1.44800	−	0.778924i	0.0635601	−	0.0341910i
$520$	1.23607	+	3.80423i	0.0542052	+	0.166826i
$521$	3.64239	+	1.18348i	0.159576	+	0.0518494i	0.387716	−	0.921779i	$-0.373264\pi$
$521$	3.64239	+	1.18348i	0.159576	+	0.0518494i	−0.228140	+	0.973628i	$0.573264\pi$
$522$	−0.867623	−	1.08863i	−0.0379748	−	0.0476479i
$523$	5.66137	−	7.79220i	0.247554	−	0.340729i	−0.667099	−	0.744969i	$-0.732464\pi$
$523$	5.66137	−	7.79220i	0.247554	−	0.340729i	0.914653	+	0.404240i	$0.132464\pi$
$524$	−1.62772	+	5.00961i	−0.0711073	+	0.218846i
$525$	−5.73549	+	1.03996i	−0.250317	+	0.0453876i
$526$	10.9756	−	7.97425i	0.478560	−	0.347694i
$527$	−35.2572			−1.53583
$528$	−4.91701	+	2.97036i	−0.213985	+	0.129268i
$529$	0.0696480			0.00302817
$530$	−21.1059	+	15.3343i	−0.916781	+	0.666080i
$531$	18.3185	−	0.817241i	0.794953	−	0.0354652i
$532$	−2.78330	+	8.56613i	−0.120672	+	0.371389i
$533$	−1.39394	+	1.91859i	−0.0603782	+	0.0831034i
$534$	15.3344	−	16.0338i	0.663585	−	0.693850i
$535$	5.63601	+	1.83125i	0.243666	+	0.0791719i
$536$	−3.64554	−	11.2198i	−0.157463	−	0.484623i
$537$	15.2338	+	28.3192i	0.657387	+	1.22206i
$538$		−	11.8485i		−	0.510824i
$539$	−5.08616	−	13.3481i	−0.219076	−	0.574942i
$540$	−5.42838	+	12.6847i	−0.233600	+	0.545863i
$541$	1.63935	+	2.25638i	0.0704813	+	0.0970092i	0.842802	−	0.538223i	$-0.180904\pi$
$541$	1.63935	+	2.25638i	0.0704813	+	0.0970092i	−0.772321	+	0.635232i	$0.780904\pi$
$542$	20.5918	−	6.69068i	0.884493	−	0.287389i
$543$	−9.68187	+	20.0970i	−0.415489	+	0.862445i
$544$	5.49344	+	3.99122i	0.235529	+	0.171122i
$545$	10.1722	+	7.39056i	0.435730	+	0.316577i
$546$	1.85840	−	3.85755i	0.0795323	−	0.165088i
$547$	−31.5016	+	10.2355i	−1.34691	+	0.437638i	−0.891652	−	0.452721i	$-0.850453\pi$
$547$	−31.5016	+	10.2355i	−1.34691	+	0.437638i	−0.455259	+	0.890359i	$0.650453\pi$
$548$	−0.545331	−	0.750584i	−0.0232954	−	0.0320634i
$549$	11.1084	−	40.2039i	0.474095	−	1.71586i
$550$	−2.42178	−	6.35569i	−0.103265	−	0.271008i
$551$		−	2.54678i		−	0.108496i
$552$	3.92920	+	7.30427i	0.167238	+	0.310891i
$553$	−1.61132	−	4.95913i	−0.0685203	−	0.210884i
$554$	−3.87418	−	1.25880i	−0.164598	−	0.0534812i
$555$	3.20092	−	3.34690i	0.135871	−	0.142068i
$556$	−4.96866	+	6.83877i	−0.210718	+	0.290028i
$557$	8.46752	−	26.0604i	0.358780	−	1.10421i	−0.595004	−	0.803722i	$-0.702850\pi$
$557$	8.46752	−	26.0604i	0.358780	−	1.10421i	0.953785	−	0.300490i	$-0.0971503\pi$
$558$	0.694243	+	15.5615i	0.0293897	+	0.658769i
$559$	4.17409	−	3.03265i	0.176545	−	0.128268i
$560$	4.35758			0.184141
$561$	−33.3878	+	20.1695i	−1.40963	+	0.851557i
$562$	−17.8647			−0.753575
$563$	17.1967	−	12.4941i	0.724753	−	0.526564i	−0.163146	−	0.986602i	$-0.552164\pi$
$563$	17.1967	−	12.4941i	0.724753	−	0.526564i	0.887899	+	0.460038i	$0.152164\pi$
$564$	−17.0646	+	3.09416i	−0.718551	+	0.130288i
$565$	−3.19661	+	9.83817i	−0.134483	+	0.413895i
$566$	1.78667	−	2.45914i	0.0750995	−	0.103366i
$567$	13.5846	−	5.79681i	0.570499	−	0.243443i
$568$	−0.854102	−	0.277515i	−0.0358373	−	0.0116443i
$569$	11.4052	+	35.1015i	0.478130	+	1.47153i	0.841690	+	0.539961i	$0.181561\pi$
$569$	11.4052	+	35.1015i	0.478130	+	1.47153i	−0.363560	+	0.931571i	$0.618439\pi$
$570$	−22.2299	+	11.9582i	−0.931108	+	0.500873i
$571$		−	26.4505i		−	1.10692i	−0.832876	−	0.553460i	$-0.813307\pi$
$571$		−	26.4505i		−	1.10692i	0.832876	−	0.553460i	$-0.186693\pi$
$572$	4.82276	+	1.30499i	0.201650	+	0.0545646i
$573$	−0.751520	+	5.54177i	−0.0313952	+	0.231511i
$574$	1.51855	+	2.09010i	0.0633831	+	0.0872393i
$575$	−9.33936	+	3.03454i	−0.389478	+	0.126549i
$576$	1.65343	−	2.50323i	0.0688930	−	0.104301i
$577$	19.8138	+	14.3955i	0.824858	+	0.599294i	0.918100	−	0.396349i	$-0.129723\pi$
$577$	19.8138	+	14.3955i	0.824858	+	0.599294i	−0.0932422	+	0.995643i	$0.529723\pi$
$578$	23.5486	+	17.1091i	0.979493	+	0.711643i
$579$	−15.2376	−	7.34083i	−0.633254	−	0.305075i
$580$	−1.17183	+	0.380751i	−0.0486576	+	0.0158098i
$581$	−1.80784	−	2.48828i	−0.0750018	−	0.103231i
$582$	−6.16337	−	0.835815i	−0.255480	−	0.0346456i
$583$	1.62524	+	32.5450i	0.0673106	+	1.34788i
$584$			4.62724i			0.191476i
$585$	11.2361	−	4.21317i	0.464554	−	0.174193i
$586$	7.21279	+	22.1987i	0.297958	+	0.917020i
$587$	−39.3939	−	12.7999i	−1.62596	−	0.528307i	−0.652624	−	0.757682i	$-0.726332\pi$
$587$	−39.3939	−	12.7999i	−1.62596	−	0.528307i	−0.973338	+	0.229375i	$0.926332\pi$
$588$	5.39108	+	5.15593i	0.222324	+	0.212627i
$589$	−16.7505	+	23.0551i	−0.690194	+	0.949970i
$590$	5.01532	−	15.4356i	0.206477	−	0.635472i
$591$	4.31633	+	23.8050i	0.177550	+	0.979208i
$592$	−0.814648	+	0.591876i	−0.0334818	+	0.0243260i
$593$	−2.94808			−0.121063			−0.0605316	−	0.998166i	$-0.519280\pi$
$593$	−2.94808			−0.121063			−0.0605316	+	0.998166i	$0.519280\pi$
$594$	9.55965	+	14.3392i	0.392237	+	0.588345i
$595$	29.5891			1.21304
$596$	14.6202	−	10.6222i	0.598868	−	0.435103i
$597$	−4.93437	−	27.2136i	−0.201950	−	1.11378i
$598$	2.22911	−	6.86049i	0.0911550	−	0.280546i
$599$	16.3070	−	22.4446i	0.666284	−	0.917061i	−0.333385	−	0.942791i	$-0.608191\pi$
$599$	16.3070	−	22.4446i	0.666284	−	0.917061i	0.999669	+	0.0257295i	$0.00819086\pi$
$600$	2.56696	+	2.45500i	0.104796	+	0.100225i
$601$	4.22399	+	1.37246i	0.172300	+	0.0559836i	0.393897	−	0.919155i	$-0.371127\pi$
$601$	4.22399	+	1.37246i	0.172300	+	0.0559836i	−0.221597	+	0.975138i	$0.571127\pi$
$602$	−1.73689	−	5.34560i	−0.0707903	−	0.217870i
$603$	−33.1386	+	12.4259i	−1.34951	+	0.506023i
$604$			13.3299i			0.542387i
$605$	−28.5400	−	6.21346i	−1.16031	−	0.252613i
$606$	−20.8917	−	2.83313i	−0.848667	−	0.115088i
$607$	23.8874	+	32.8782i	0.969559	+	1.33448i	0.942269	+	0.334856i	$0.108688\pi$
$607$	23.8874	+	32.8782i	0.969559	+	1.33448i	0.0272902	+	0.999628i	$0.491312\pi$
$608$	5.21982	−	1.69602i	0.211692	−	0.0687828i
$609$	1.18826	+	0.572451i	0.0481506	+	0.0231969i
$610$	−29.8673	−	21.6999i	−1.20929	−	0.878602i
$611$	12.2029	+	8.86590i	0.493675	+	0.358676i
$612$	11.2272	−	16.9976i	0.453835	−	0.687087i
$613$	−27.4583	+	8.92174i	−1.10903	+	0.360346i	−0.805571	−	0.592499i	$-0.798142\pi$
$613$	−27.4583	+	8.92174i	−1.10903	+	0.360346i	−0.303459	+	0.952845i	$0.598142\pi$
$614$	−17.6463	−	24.2880i	−0.712145	−	0.980184i
$615$	−0.972957	+	7.17467i	−0.0392334	+	0.289310i
$616$	2.97562	−	4.55743i	0.119891	−	0.183624i
$617$			31.6428i			1.27389i	0.770909	+	0.636946i	$0.219802\pi$
$617$			31.6428i			1.27389i	−0.770909	+	0.636946i	$0.780198\pi$
$618$	−1.35238	+	0.727486i	−0.0544006	+	0.0292638i
$619$	0.294921	+	0.907672i	0.0118539	+	0.0364824i	0.956808	−	0.290719i	$-0.0938945\pi$
$619$	0.294921	+	0.907672i	0.0118539	+	0.0364824i	−0.944955	+	0.327201i	$0.893894\pi$
$620$	13.1124	+	4.26049i	0.526609	+	0.171105i
$621$	21.3657	−	12.7525i	0.857376	−	0.511741i
$622$	0.291085	−	0.400644i	0.0116715	−	0.0160644i
$623$	−6.49581	+	19.9920i	−0.260249	+	0.800964i
$624$	−2.56732	+	0.465507i	−0.102775	+	0.0186352i
$625$	25.1185	−	18.2496i	1.00474	−	0.729986i
$626$	28.3789			1.13425
$627$	−2.67330	+	31.4152i	−0.106761	+	1.25460i
$628$	9.70820			0.387400
$629$	−5.53167	+	4.01900i	−0.220562	+	0.160248i
$630$	−0.582635	−	13.0598i	−0.0232127	−	0.520313i
$631$	2.19912	−	6.76820i	0.0875456	−	0.269438i	−0.897694	−	0.440620i	$-0.854759\pi$
$631$	2.19912	−	6.76820i	0.0875456	−	0.269438i	0.985239	+	0.171182i	$0.0547587\pi$
$632$	−1.86762	+	2.57056i	−0.0742901	+	0.102252i
$633$	2.71523	−	2.83907i	0.107921	−	0.112843i
$634$	−6.31569	−	2.05209i	−0.250828	−	0.0814990i
$635$	−0.193955	−	0.596933i	−0.00769688	−	0.0236886i
$636$	−8.06173	−	14.9865i	−0.319668	−	0.594255i
$637$		−	6.48791i		−	0.257060i
$638$	−0.401983	+	1.48557i	−0.0159146	+	0.0588144i
$639$	−0.717518	+	2.59687i	−0.0283846	+	0.102730i
$640$	−1.56076	−	2.14820i	−0.0616943	−	0.0849150i
$641$	−31.2374	+	10.1496i	−1.23380	+	0.400887i	−0.852090	−	0.523395i	$-0.824665\pi$
$641$	−31.2374	+	10.1496i	−1.23380	+	0.400887i	−0.381712	+	0.924281i	$0.624665\pi$
$642$	−1.67771	+	3.48248i	−0.0662139	+	0.137442i
$643$	−2.66685	−	1.93758i	−0.105170	−	0.0764106i	0.533957	−	0.845511i	$-0.320704\pi$
$643$	−2.66685	−	1.93758i	−0.105170	−	0.0764106i	−0.639127	+	0.769101i	$0.720704\pi$
$644$	−6.35758	−	4.61905i	−0.250524	−	0.182016i
$645$	6.83668	−	14.1911i	0.269194	−	0.558775i
$646$	35.4440	−	11.5164i	1.39452	−	0.453108i
$647$	3.42235	+	4.71046i	0.134547	+	0.185187i	0.870974	−	0.491329i	$-0.163489\pi$
$647$	3.42235	+	4.71046i	0.134547	+	0.185187i	−0.736427	+	0.676516i	$0.763489\pi$
$648$	−7.72330	−	4.62067i	−0.303400	−	0.181517i
$649$	−12.7187	−	15.7856i	−0.499253	−	0.619641i
$650$		−	3.08922i		−	0.121169i
$651$	−6.99180	−	12.9976i	−0.274030	−	0.509414i
$652$	2.18848	+	6.73544i	0.0857074	+	0.263780i
$653$	4.16347	+	1.35279i	0.162929	+	0.0529390i	0.389346	−	0.921092i	$-0.372701\pi$
$653$	4.16347	+	1.35279i	0.162929	+	0.0529390i	−0.226417	+	0.974031i	$0.572701\pi$
$654$	−5.66875	+	5.92729i	−0.221666	+	0.231775i
$655$	8.22115	−	11.3154i	0.321227	−	0.442131i
$656$	0.486479	−	1.49723i	0.0189938	−	0.0584569i
$657$	13.8679	−	0.618689i	0.541039	−	0.0241374i
$658$	13.2937	−	9.65847i	0.518244	−	0.376526i
$659$	15.3805			0.599141			0.299570	−	0.954074i	$-0.403157\pi$
$659$	15.3805			0.599141			0.299570	+	0.954074i	$0.403157\pi$
$660$	14.8545	−	3.46662i	0.578211	−	0.134938i
$661$	12.6047			0.490266			0.245133	−	0.969489i	$-0.421168\pi$
$661$	12.6047			0.490266			0.245133	+	0.969489i	$0.421168\pi$
$662$	5.99494	−	4.35558i	0.233000	−	0.169285i
$663$	−17.4328	+	3.16091i	−0.677033	+	0.122760i
$664$	−0.579155	+	1.78246i	−0.0224756	+	0.0691727i
$665$	14.0577	−	19.3487i	0.545133	−	0.750312i
$666$	1.88279	+	2.36238i	0.0729565	+	0.0915403i
$667$	2.11326	+	0.686641i	0.0818259	+	0.0265868i
$668$	−0.783304	−	2.41076i	−0.0303069	−	0.0932751i
$669$	6.71361	−	3.61147i	0.259563	−	0.139627i
$670$			31.3254i			1.21021i
$671$	−43.0903	+	16.4191i	−1.66348	+	0.633854i
$672$	−0.381966	+	2.81665i	−0.0147347	+	0.108655i
$673$	−18.9461	−	26.0771i	−0.730319	−	1.00520i	−0.999118	−	0.0420013i	$-0.986627\pi$
$673$	−18.9461	−	26.0771i	−0.730319	−	1.00520i	0.268799	−	0.963196i	$-0.413373\pi$
$674$	−32.5392	+	10.5726i	−1.25336	+	0.407242i
$675$	7.01445	−	8.02148i	0.269986	−	0.308747i
$676$	−8.68134	−	6.30736i	−0.333898	−	0.242591i
$677$	7.37175	+	5.35589i	0.283319	+	0.205844i	0.720364	−	0.693596i	$-0.243975\pi$
$677$	7.37175	+	5.35589i	0.283319	+	0.205844i	−0.437045	+	0.899440i	$0.643975\pi$
$678$	−6.07898	−	2.92859i	−0.233462	−	0.112472i
$679$	5.60466	−	1.82107i	0.215087	−	0.0698861i
$680$	−10.5980	−	14.5868i	−0.406413	−	0.559379i
$681$	−21.8548	−	2.96374i	−0.837479	−	0.113571i
$682$	13.4098	−	10.8045i	0.513490	−	0.413726i
$683$			28.1535i			1.07726i	0.842541	+	0.538632i	$0.181059\pi$
$683$			28.1535i			1.07726i	−0.842541	+	0.538632i	$0.818941\pi$
$684$	−5.78093	−	15.4171i	−0.221040	−	0.589489i
$685$	0.761274	+	2.34296i	0.0290868	+	0.0895199i
$686$	−17.6473	−	5.73395i	−0.673776	−	0.218923i
$687$	8.04039	+	7.68968i	0.306760	+	0.293380i
$688$	−2.01317	+	2.77089i	−0.0767512	+	0.105639i
$689$	−4.57357	+	14.0760i	−0.174239	+	0.536253i
$690$	−3.92920	−	21.6700i	−0.149582	−	0.824962i
$691$	−8.68690	+	6.31140i	−0.330465	+	0.240097i	−0.740628	−	0.671915i	$-0.765472\pi$
$691$	−8.68690	+	6.31140i	−0.330465	+	0.240097i	0.410163	+	0.912012i	$0.365472\pi$
$692$	0.949284			0.0360864
$693$	−14.0566	−	8.30862i	−0.533965	−	0.315618i
$694$	−20.9245			−0.794285
$695$	18.1591	−	13.1934i	0.688814	−	0.500453i
$696$	−0.143392	−	0.790821i	−0.00543525	−	0.0299760i
$697$	3.30332	−	10.1666i	0.125122	−	0.385086i
$698$	17.3120	−	23.8279i	0.655268	−	0.901898i
$699$	21.0422	+	20.1244i	0.795888	+	0.761173i
$700$	−3.20067	−	1.03996i	−0.120974	−	0.0393068i
$701$	−12.8347	−	39.5012i	−0.484761	−	1.49194i	−0.832327	−	0.554285i	$-0.812992\pi$
$701$	−12.8347	−	39.5012i	−0.484761	−	1.49194i	0.347566	−	0.937656i	$-0.387008\pi$
$702$	1.73840	+	7.63206i	0.0656116	+	0.288054i
$703$			5.52664i			0.208441i
$704$	−3.31250	+	0.165420i	−0.124844	+	0.00623450i
$705$	45.6332	+	6.18832i	1.71865	+	0.233066i
$706$	−14.2988	−	19.6806i	−0.538141	−	0.740688i
$707$	18.9979	−	6.17279i	0.714489	−	0.232152i
$708$	9.53759	+	4.59480i	0.358445	+	0.172683i
$709$	−24.4440	−	17.7596i	−0.918015	−	0.666977i	0.0250143	−	0.999687i	$-0.492037\pi$
$709$	−24.4440	−	17.7596i	−0.918015	−	0.666977i	−0.943029	+	0.332710i	$0.892037\pi$
$710$	1.92920	+	1.40165i	0.0724017	+	0.0526029i
$711$	7.95374	+	5.25360i	0.298288	+	0.197025i
$712$	12.1823	−	3.95826i	0.456550	−	0.148342i
$713$	−14.6145	−	20.1152i	−0.547318	−	0.753319i
$714$	−2.59365	+	19.1258i	−0.0970649	+	0.715764i
$715$	−11.1084	−	7.25284i	−0.415430	−	0.271241i
$716$			18.5656i			0.693830i
$717$	18.3634	−	9.87825i	0.685793	−	0.368910i
$718$	10.1134	+	31.1259i	0.377429	+	1.16161i
$719$	47.7748	+	15.5230i	1.78170	+	0.578909i	0.999051	−	0.0435556i	$-0.0138686\pi$
$719$	47.7748	+	15.5230i	1.78170	+	0.578909i	0.782648	+	0.622465i	$0.213869\pi$
$720$	−6.22951	+	4.96485i	−0.232160	+	0.185029i
$721$	0.855212	−	1.17710i	0.0318497	−	0.0438374i
$722$	3.43720	−	10.5786i	0.127919	−	0.393696i
$723$	35.0468	−	6.35469i	1.30340	−	0.236333i
$724$	−10.4196	+	7.57025i	−0.387240	+	0.281346i
$725$	0.951585			0.0353410
$726$	6.51793	−	17.9030i	0.241903	−	0.664442i
$727$	42.9707			1.59369			0.796847	−	0.604181i	$-0.206499\pi$
$727$	42.9707			1.59369			0.796847	+	0.604181i	$0.206499\pi$
$728$	2.00000	−	1.45309i	0.0741249	−	0.0538549i
$729$	−12.8156	+	23.7647i	−0.474652	+	0.880174i
$730$	3.79682	−	11.6854i	0.140527	−	0.432497i
$731$	−13.6699	+	18.8150i	−0.505601	+	0.695899i
$732$	16.6444	−	17.4035i	0.615193	−	0.643251i
$733$	32.7807	+	10.6511i	1.21078	+	0.393408i	0.843718	−	0.536787i	$-0.180362\pi$
$733$	32.7807	+	10.6511i	1.21078	+	0.393408i	0.367066	+	0.930195i	$0.380362\pi$
$734$	3.67822	+	11.3204i	0.135765	+	0.417843i
$735$	−9.38376	−	17.4441i	−0.346125	−	0.643437i
$736$			4.78856i			0.176509i
$737$	32.7620	+	21.3908i	1.20681	+	0.787942i
$738$	−4.55226	−	1.25780i	−0.167571	−	0.0463002i
$739$	−0.669749	−	0.921830i	−0.0246371	−	0.0339101i	0.796521	−	0.604611i	$-0.206671\pi$
$739$	−0.669749	−	0.921830i	−0.0246371	−	0.0339101i	−0.821158	+	0.570701i	$0.806671\pi$
$740$	2.54293	−	0.826249i	0.0934801	−	0.0303735i
$741$	−6.21527	+	12.9013i	−0.228324	+	0.473940i
$742$	13.0442	+	9.47713i	0.478866	+	0.347916i
$743$	11.8635	+	8.61934i	0.435230	+	0.316213i	0.783737	−	0.621093i	$-0.213311\pi$
$743$	11.8635	+	8.61934i	0.435230	+	0.316213i	−0.348507	+	0.937306i	$0.613311\pi$
$744$	−3.90327	+	8.10215i	−0.143101	+	0.297039i
$745$	−45.6372	+	14.8284i	−1.67202	+	0.543272i
$746$	16.3289	+	22.4748i	0.597843	+	0.822861i
$747$	5.41949	+	1.49741i	0.198289	+	0.0547875i
$748$	−22.4927	+	1.12325i	−0.822416	+	0.0410699i
$749$		−	3.66250i		−	0.133825i
$750$	6.42587	+	11.9455i	0.234640	+	0.436189i
$751$	−9.49151	−	29.2119i	−0.346350	−	1.06596i	−0.960857	−	0.277044i	$-0.910645\pi$
$751$	−9.49151	−	29.2119i	−0.346350	−	1.06596i	0.614507	−	0.788911i	$-0.289355\pi$
$752$	−9.52285	−	3.09416i	−0.347263	−	0.112832i
$753$	19.5922	−	20.4857i	0.713979	−	0.746542i
$754$	−0.410870	+	0.565514i	−0.0149630	+	0.0205948i
$755$	10.9377	−	33.6628i	0.398064	−	1.22512i
$756$	8.49262	+	0.768157i	0.308874	+	0.0279376i
$757$	−29.7783	+	21.6352i	−1.08231	+	0.786345i	−0.978084	−	0.208209i	$-0.933237\pi$
$757$	−29.7783	+	21.6352i	−1.08231	+	0.786345i	−0.104226	+	0.994554i	$0.533237\pi$
$758$	7.86465			0.285657
$759$	−25.3469	−	10.6881i	−0.920034	−	0.387955i
$760$	−14.5736			−0.528639
$761$	14.4001	−	10.4623i	0.522004	−	0.379258i	−0.295354	−	0.955388i	$-0.595438\pi$
$761$	14.4001	−	10.4623i	0.522004	−	0.379258i	0.817358	+	0.576130i	$0.195438\pi$
$762$	0.402846	−	0.0730441i	0.0145936	−	0.00264611i
$763$	2.40134	−	7.39056i	0.0869343	−	0.267556i
$764$	−1.89786	+	2.61218i	−0.0686621	+	0.0945052i
$765$	−42.3000	+	33.7126i	−1.52936	+	1.21888i
$766$	−12.3219	−	4.00364i	−0.445210	−	0.144657i
$767$	−2.84528	−	8.75687i	−0.102737	−	0.316192i
$768$	1.52536	−	0.820539i	0.0550416	−	0.0296086i
$769$		−	15.5249i		−	0.559841i	−0.960023	−	0.279920i	$-0.909692\pi$
$769$		−	15.5249i		−	0.559841i	0.960023	−	0.279920i	$-0.0903081\pi$
$770$	−11.2540	+	9.06754i	−0.405568	+	0.326771i
$771$	−1.98683	+	14.6511i	−0.0715541	+	0.527645i
$772$	−5.73979	−	7.90015i	−0.206580	−	0.284333i
$773$	−33.1016	+	10.7554i	−1.19058	+	0.386843i	−0.836288	−	0.548291i	$-0.815279\pi$
$773$	−33.1016	+	10.7554i	−1.19058	+	0.386843i	−0.354294	+	0.935134i	$0.615279\pi$
$774$	8.57357	+	5.66301i	0.308171	+	0.203553i
$775$	−8.61438	−	6.25871i	−0.309438	−	0.224820i
$776$	−2.90517	−	2.11073i	−0.104290	−	0.0757709i
$777$	−2.57858	−	1.24225i	−0.0925060	−	0.0445655i
$778$	24.6301	−	8.00280i	0.883032	−	0.286914i
$779$	−5.07866	−	6.99018i	−0.181962	−	0.250449i
$780$	6.86536	+	0.931013i	0.245819	+	0.0333356i
$781$	2.78330	−	1.06055i	0.0995944	−	0.0379495i
$782$			32.5156i			1.16276i
$783$	−2.35093	+	0.535486i	−0.0840155	+	0.0191367i
$784$	1.33089	+	4.09607i	0.0475320	+	0.146288i
$785$	−24.5167	−	7.96596i	−0.875038	−	0.284317i
$786$	6.59343	+	6.30584i	0.235180	+	0.224922i
$787$	−11.1034	+	15.2825i	−0.395792	+	0.544761i	−0.959682	−	0.281089i	$-0.909304\pi$
$787$	−11.1034	+	15.2825i	−0.395792	+	0.544761i	0.563890	+	0.825850i	$0.309304\pi$
$788$	−4.31633	+	13.2843i	−0.153763	+	0.473234i
$789$	−4.19231	−	23.1211i	−0.149250	−	0.823131i
$790$	6.82566	−	4.95913i	0.242846	−	0.176438i
$791$	6.39323			0.227317
$792$	0.938668	+	9.90550i	0.0333541	+	0.351977i
$793$	−20.9443			−0.743753
$794$	−14.5612	+	10.5793i	−0.516756	+	0.375445i
$795$	8.06173	+	44.4613i	0.285920	+	1.57688i
$796$	4.93437	−	15.1864i	0.174894	−	0.538268i
$797$	−26.6012	+	36.6134i	−0.942261	+	1.29691i	0.0126187	+	0.999920i	$0.495983\pi$
$797$	−26.6012	+	36.6134i	−0.942261	+	1.29691i	−0.954880	+	0.296991i	$0.904017\pi$
$798$	11.2744	+	10.7826i	0.399108	+	0.381700i
$799$	−64.6627	−	21.0102i	−2.28760	−	0.743287i
$800$	0.633706	+	1.95035i	0.0224049	+	0.0689552i
$801$	−13.4918	−	35.9813i	−0.476710	−	1.27134i
$802$			3.76803i			0.133054i
$803$	−9.62865	−	11.9505i	−0.339788	−	0.421723i
$804$	−20.2481	−	2.74584i	−0.714094	−	0.0968384i
$805$	12.2651	+	16.8814i	0.432286	+	0.594991i
$806$	7.43893	−	2.41706i	0.262025	−	0.0851371i
$807$	−18.4885	−	8.90697i	−0.650826	−	0.313540i
$808$	−9.84754	−	7.15466i	−0.346435	−	0.251700i
$809$	19.7941	+	14.3813i	0.695925	+	0.505619i	0.878603	−	0.477554i	$-0.158476\pi$
$809$	19.7941	+	14.3813i	0.695925	+	0.505619i	−0.182678	+	0.983173i	$0.558476\pi$
$810$	15.7127	+	18.0061i	0.552087	+	0.632671i
$811$	−11.5278	+	3.74561i	−0.404796	+	0.131526i	−0.504336	−	0.863507i	$-0.668263\pi$
$811$	−11.5278	+	3.74561i	−0.404796	+	0.131526i	0.0995405	+	0.995034i	$0.468263\pi$
$812$	0.447600	+	0.616068i	0.0157077	+	0.0216197i
$813$	5.03945	−	37.1613i	0.176741	−	1.30330i
$814$	0.872323	−	3.22377i	0.0305749	−	0.112993i
$815$		−	18.8051i		−	0.658715i
$816$	10.3576	−	5.57167i	0.362588	−	0.195048i
$817$	5.80888	+	17.8779i	0.203227	+	0.625468i
$818$	−13.6705	−	4.44183i	−0.477979	−	0.155305i
$819$	−4.62234	−	5.79975i	−0.161517	−	0.202660i
$820$	−2.45707	+	3.38186i	−0.0858045	+	0.118100i
$821$	11.9303	−	36.7177i	0.416371	−	1.28146i	−0.494648	−	0.869093i	$-0.664703\pi$
$821$	11.9303	−	36.7177i	0.416371	−	1.28146i	0.911019	−	0.412364i	$-0.135297\pi$
$822$	−1.58117	+	0.286698i	−0.0551496	+	0.00999973i
$823$	5.77674	−	4.19705i	0.201365	−	0.146300i	−0.482533	−	0.875878i	$-0.660283\pi$
$823$	5.77674	−	4.19705i	0.201365	−	0.146300i	0.683898	+	0.729578i	$0.260283\pi$
$824$	−0.886596			−0.0308860
$825$	−11.7380	−	0.998857i	−0.408666	−	0.0347757i
$826$	−10.0306			−0.349010
$827$	11.6755	−	8.48277i	0.405998	−	0.294975i	−0.365982	−	0.930622i	$-0.619267\pi$
$827$	11.6755	−	8.48277i	0.405998	−	0.294975i	0.771980	+	0.635647i	$0.219267\pi$
$828$	14.3514	−	0.640260i	0.498746	−	0.0222506i
$829$	−17.2062	+	52.9553i	−0.597597	+	1.83921i	−0.0562483	+	0.998417i	$0.517914\pi$
$829$	−17.2062	+	52.9553i	−0.597597	+	1.83921i	−0.541349	+	0.840798i	$0.682086\pi$
$830$	2.92515	−	4.02612i	0.101533	−	0.139749i
$831$	−4.87662	+	5.09904i	−0.169168	+	0.176884i
$832$	−1.43268	−	0.465507i	−0.0496693	−	0.0161385i
$833$	9.03713	+	27.8134i	0.313118	+	0.963678i
$834$	6.93616	+	12.8941i	0.240180	+	0.446487i
$835$			6.73076i			0.232928i
$836$	−9.95170	+	15.2419i	−0.344187	+	0.527154i
$837$	24.8042	+	10.6149i	0.857358	+	0.366903i
$838$	−18.3154	−	25.2090i	−0.632696	−	0.870831i
$839$	39.3719	−	12.7927i	1.35927	−	0.441654i	0.463471	−	0.886112i	$-0.346604\pi$
$839$	39.3719	−	12.7927i	1.35927	−	0.441654i	0.895799	+	0.444458i	$0.146604\pi$
$840$	3.27577	−	6.79963i	0.113025	−	0.234609i
$841$	23.2873	+	16.9192i	0.803010	+	0.583421i
$842$	−8.75081	−	6.35784i	−0.301573	−	0.219105i
$843$	−13.4296	+	27.8762i	−0.462539	+	0.960108i
$844$	2.15709	−	0.700881i	0.0742501	−	0.0241253i
$845$	16.7481	+	23.0517i	0.576151	+	0.793003i
$846$	−8.00000	+	28.9539i	−0.275046	+	0.995455i
$847$	1.79847	+	17.9620i	0.0617961	+	0.617183i
$848$		−	9.82493i		−	0.337389i
$849$	−2.49417	−	4.63658i	−0.0855996	−	0.159127i
$850$	4.30303	+	13.2434i	0.147593	+	0.454244i
$851$	−4.58589	−	1.49005i	−0.157202	−	0.0510781i
$852$	−1.07510	+	1.12413i	−0.0368323	+	0.0385121i
$853$	21.9644	−	30.2313i	0.752045	−	1.03510i	−0.245789	−	0.969323i	$-0.579047\pi$
$853$	21.9644	−	30.2313i	0.752045	−	1.03510i	0.997834	−	0.0657781i	$-0.0209529\pi$
$854$	−7.05072	+	21.6999i	−0.241271	+	0.742554i
$855$	1.94857	+	43.6773i	0.0666398	+	1.49373i
$856$	−1.80554	+	1.31180i	−0.0617120	+	0.0448364i
$857$	−34.9831			−1.19500			−0.597499	−	0.801869i	$-0.703839\pi$
$857$	−34.9831			−1.19500			−0.597499	+	0.801869i	$0.703839\pi$
$858$	5.66179	−	6.54447i	0.193290	−	0.223425i
$859$	3.21505			0.109696			0.0548481	−	0.998495i	$-0.482533\pi$
$859$	3.21505			0.109696			0.0548481	+	0.998495i	$0.482533\pi$
$860$	7.35758	−	5.34560i	0.250891	−	0.182283i
$861$	4.40298	−	0.798349i	0.150053	−	0.0272077i
$862$	−12.3088	+	37.8826i	−0.419240	+	1.29029i
$863$	26.6104	−	36.6260i	0.905827	−	1.24676i	−0.0627444	−	0.998030i	$-0.519985\pi$
$863$	26.6104	−	36.6260i	0.905827	−	1.24676i	0.968572	−	0.248735i	$-0.0800147\pi$
$864$	−2.66312	−	4.46182i	−0.0906011	−	0.151794i
$865$	−2.39728	−	0.778924i	−0.0815101	−	0.0264842i
$866$	−4.99226	−	15.3646i	−0.169644	−	0.522110i
$867$	44.3996	−	23.8840i	1.50789	−	0.811142i
$868$		−	8.52098i		−	0.289221i
$869$	−0.525604	−	10.5251i	−0.0178299	−	0.357039i
$870$	−0.286784	+	2.11477i	−0.00972288	+	0.0716973i
$871$	10.4458	+	14.3774i	0.353943	+	0.487160i
$872$	−4.50348	+	1.46327i	−0.152507	+	0.0495526i
$873$	−5.93746	+	8.98908i	−0.200953	+	0.304234i
$874$	21.2624	+	15.4480i	0.719211	+	0.522538i
$875$	−10.3973	−	7.55407i	−0.351492	−	0.255374i
$876$	7.22040	+	3.47848i	0.243955	+	0.117527i
$877$	45.4373	−	14.7635i	1.53431	−	0.498527i	0.584509	−	0.811387i	$-0.301287\pi$
$877$	45.4373	−	14.7635i	1.53431	−	0.498527i	0.949799	+	0.312860i	$0.101287\pi$
$878$	−3.60897	−	4.96732i	−0.121797	−	0.167639i
$879$	40.0613	+	5.43271i	1.35123	+	0.183241i
$880$	8.50097	+	2.30029i	0.286568	+	0.0775426i
$881$		−	34.4685i		−	1.16127i	−0.814163	−	0.580636i	$-0.802804\pi$
$881$		−	34.4685i		−	1.16127i	0.814163	−	0.580636i	$-0.197196\pi$
$882$	12.0981	−	4.53639i	0.407363	−	0.152748i
$883$	−11.4707	−	35.3032i	−0.386020	−	1.18805i	−0.935738	−	0.352696i	$-0.885265\pi$
$883$	−11.4707	−	35.3032i	−0.386020	−	1.18805i	0.549718	−	0.835350i	$-0.314735\pi$
$884$	−9.72829	−	3.16091i	−0.327198	−	0.106313i
$885$	−20.3156	−	19.4295i	−0.682902	−	0.653115i
$886$	−0.962696	+	1.32504i	−0.0323424	+	0.0445155i
$887$	13.2813	−	40.8757i	0.445943	−	1.37247i	−0.435502	−	0.900188i	$-0.643429\pi$
$887$	13.2813	−	40.8757i	0.445943	−	1.37247i	0.881446	−	0.472285i	$-0.156571\pi$
$888$	0.311168	+	1.71612i	0.0104421	+	0.0575893i
$889$	−0.313826	+	0.228008i	−0.0105254	+	0.00764715i
$890$	−34.0125			−1.14010
$891$	29.5615	−	4.13763i	0.990346	−	0.138616i
$892$	4.40134			0.147368
$893$	−44.4598	+	32.3019i	−1.48779	+	1.08094i
$894$	−5.58443	−	30.7987i	−0.186771	−	1.03006i
$895$	15.2338	−	46.8848i	0.509210	−	1.56719i
$896$	−0.964601	+	1.32766i	−0.0322251	+	0.0443540i
$897$	−9.02948	−	8.63563i	−0.301486	−	0.288335i
$898$	−17.3870	−	5.64939i	−0.580213	−	0.188523i
$899$	0.744535	+	2.29144i	0.0248316	+	0.0764239i
$900$	5.76050	−	2.16000i	0.192017	−	0.0720001i
$901$		−	66.7138i		−	2.22256i
$902$	1.85913	+	4.87909i	0.0619023	+	0.162456i
$903$	−9.64702	−	1.30823i	−0.321033	−	0.0435353i
$904$	−2.28987	−	3.15173i	−0.0761598	−	0.104825i
$905$	32.5248	−	10.5679i	1.08116	−	0.351290i
$906$	20.8002	+	10.0206i	0.691039	+	0.332913i
$907$	30.6111	+	22.2403i	1.01642	+	0.738476i	0.965547	−	0.260229i	$-0.0837981\pi$
$907$	30.6111	+	22.2403i	1.01642	+	0.738476i	0.0508777	+	0.998705i	$0.483798\pi$
$908$	−10.3015	−	7.48450i	−0.341868	−	0.248382i
$909$	−20.1260	+	30.4699i	−0.667536	+	1.01062i
$910$	−6.24303	+	2.02848i	−0.206954	+	0.0672435i
$911$	11.9412	+	16.4356i	0.395629	+	0.544536i	0.959640	−	0.281231i	$-0.0907426\pi$
$911$	11.9412	+	16.4356i	0.395629	+	0.544536i	−0.564011	+	0.825767i	$0.690743\pi$
$912$	1.27745	−	9.42004i	0.0423007	−	0.311929i
$913$	−2.21330	−	5.80857i	−0.0732496	−	0.192236i
$914$		−	27.9848i		−	0.925654i
$915$	−56.3132	+	30.2927i	−1.86166	+	1.00144i
$916$	1.98493	+	6.10899i	0.0655839	+	0.201847i
$917$	−8.22115	−	2.67121i	−0.271486	−	0.0882112i
$918$	−18.0833	−	30.2969i	−0.596837	−	0.999947i
$919$	−19.6230	+	27.0088i	−0.647304	+	0.890938i	−0.998979	−	0.0451844i	$-0.985612\pi$
$919$	−19.6230	+	27.0088i	−0.647304	+	0.890938i	0.351674	+	0.936122i	$0.385612\pi$
$920$	3.92920	−	12.0928i	0.129542	−	0.398689i
$921$	−51.1647	+	9.27719i	−1.68593	+	0.305694i
$922$	24.5422	−	17.8310i	0.808255	−	0.587232i
$923$	1.35284			0.0445293
$924$	−4.87458	−	8.06919i	−0.160362	−	0.265457i
$925$	−2.06499			−0.0678964
$926$	−8.86942	+	6.44401i	−0.291467	+	0.211763i
$927$	0.118543	+	2.65715i	0.00389347	+	0.0872721i
$928$	0.143392	−	0.441315i	0.00470707	−	0.0144869i
$929$	−13.8375	+	19.0457i	−0.453995	+	0.624870i	−0.973250	−	0.229749i	$-0.926210\pi$
$929$	−13.8375	+	19.0457i	−0.453995	+	0.624870i	0.519255	+	0.854619i	$0.326210\pi$
$930$	16.5053	−	17.2580i	0.541229	−	0.565914i
$931$	22.4811	+	7.30454i	0.736787	+	0.239397i
$932$	5.19468	+	15.9876i	0.170157	+	0.523691i
$933$	−0.406350	−	0.755393i	−0.0133033	−	0.0247305i
$934$		−	32.2185i		−	1.05422i
$935$	57.7239	+	15.6196i	1.88777	+	0.510814i
$936$	−1.20357	+	4.35602i	−0.0393400	+	0.142381i
$937$	14.6111	+	20.1105i	0.477324	+	0.656981i	0.977988	−	0.208661i	$-0.0669106\pi$
$937$	14.6111	+	20.1105i	0.477324	+	0.656981i	−0.500664	+	0.865642i	$0.666911\pi$
$938$	18.4126	−	5.98262i	0.601193	−	0.195339i
$939$	21.3336	−	44.2828i	0.696194	−	1.44511i
$940$	21.5097	+	15.6277i	0.701570	+	0.509720i
$941$	5.71703	+	4.15366i	0.186370	+	0.135406i	0.677058	−	0.735930i	$-0.263255\pi$
$941$	5.71703	+	4.15366i	0.186370	+	0.135406i	−0.490688	+	0.871335i	$0.663255\pi$
$942$	7.29805	−	15.1488i	0.237783	−	0.493575i
$943$	7.16957	−	2.32953i	0.233473	−	0.0758601i
$944$	3.59268	+	4.94489i	0.116932	+	0.160943i
$945$	−20.8166	−	8.90839i	−0.677164	−	0.289790i
$946$	−0.566564	−	11.3453i	−0.0184206	−	0.368868i
$947$			11.7619i			0.382210i	0.981570	+	0.191105i	$0.0612071\pi$
$947$			11.7619i			0.382210i	−0.981570	+	0.191105i	$0.938793\pi$
$948$	2.60717	+	4.84666i	0.0846770	+	0.157412i
$949$	−2.15401	−	6.62936i	−0.0699221	−	0.215198i
$950$	10.7044	+	3.47806i	0.347296	+	0.112843i
$951$	−7.94986	+	8.31244i	−0.257792	+	0.269549i
$952$	−6.54989	+	9.01516i	−0.212283	+	0.292183i
$953$	0.840470	−	2.58670i	0.0272255	−	0.0837915i	−0.936521	−	0.350613i	$-0.885973\pi$
$953$	0.840470	−	2.58670i	0.0272255	−	0.0837915i	0.963746	+	0.266821i	$0.0859733\pi$
$954$	−29.4455	+	1.31365i	−0.953333	+	0.0425310i
$955$	6.93616	−	5.03942i	0.224449	−	0.163072i
$956$	12.0387			0.389361
$957$	2.01592	+	1.74402i	0.0651655	+	0.0563763i
$958$	18.8328			0.608461
$959$	1.23177	−	0.894931i	0.0397758	−	0.0288988i
$960$	−4.52536	+	0.820539i	−0.146055	+	0.0264828i
$961$	−1.24840	+	3.84217i	−0.0402708	+	0.123941i
$962$	0.891609	−	1.22719i	0.0287466	−	0.0395663i
$963$	4.17290	+	5.23583i	0.134470	+	0.168722i
$964$	19.5577	+	6.35469i	0.629912	+	0.204671i
$965$	8.01266	+	24.6604i	0.257937	+	0.793847i
$966$	−11.9869	+	6.44812i	−0.385671	+	0.207465i
$967$			21.8182i			0.701625i	0.936446	+	0.350812i	$0.114095\pi$
$967$			21.8182i			0.701625i	−0.936446	+	0.350812i	$0.885905\pi$
$968$	8.21075	−	7.32008i	0.263904	−	0.235276i
$969$	8.67424	−	63.9646i	0.278657	−	2.05484i
$970$	5.60466	+	7.71416i	0.179955	+	0.247687i
$971$	−42.1986	+	13.7111i	−1.35422	+	0.440012i	−0.894108	−	0.447851i	$-0.852189\pi$
$971$	−42.1986	+	13.7111i	−1.35422	+	0.440012i	−0.460108	+	0.887863i	$0.652189\pi$
$972$	−13.0161	+	8.57799i	−0.417491	+	0.275139i
$973$	−11.2229	−	8.15395i	−0.359791	−	0.261404i
$974$	−21.7305	−	15.7881i	−0.696290	−	0.505884i
$975$	−4.82046	−	2.32229i	−0.154378	−	0.0743728i
$976$	13.2229	−	4.29640i	0.423256	−	0.137524i
$977$	18.4138	+	25.3445i	0.589111	+	0.810841i	0.994657	−	0.103233i	$-0.0329187\pi$
$977$	18.4138	+	25.3445i	0.589111	+	0.810841i	−0.405546	+	0.914074i	$0.632919\pi$
$978$	12.1552	+	1.64837i	0.388681	+	0.0527091i
$979$	−23.2258	+	35.5724i	−0.742298	+	1.13690i
$980$		−	11.4361i		−	0.365313i
$981$	4.98759	+	13.3014i	0.159241	+	0.424680i
$982$	5.88351	+	18.1076i	0.187751	+	0.577837i
$983$	−36.5417	−	11.8731i	−1.16550	−	0.378694i	−0.338539	−	0.940952i	$-0.609933\pi$
$983$	−36.5417	−	11.8731i	−1.16550	−	0.378694i	−0.826962	+	0.562259i	$0.809933\pi$
$984$	−1.97059	−	1.88463i	−0.0628200	−	0.0600799i
$985$	21.8006	−	30.0059i	0.694624	−	0.956068i
$986$	0.973668	−	2.99664i	0.0310079	−	0.0954326i
$987$	−5.07776	−	28.0044i	−0.161627	−	0.891389i
$988$	−6.68883	+	4.85972i	−0.212800	+	0.154608i
$989$	−16.4008			−0.521517
$990$	5.75737	−	25.7851i	0.182981	−	0.819506i
$991$	−28.2808			−0.898371			−0.449185	−	0.893439i	$-0.648286\pi$
$991$	−28.2808			−0.898371			−0.449185	+	0.893439i	$0.648286\pi$
$992$	−4.20067	+	3.05196i	−0.133371	+	0.0969000i
$993$	−2.28987	−	12.6289i	−0.0726667	−	0.400764i
$994$	0.455423	−	1.40165i	0.0144451	−	0.0444575i
$995$	−24.9221	+	34.3023i	−0.790083	+	1.08746i
$996$	2.34599	+	2.24366i	0.0743356	+	0.0710932i
$997$	22.4761	+	7.30292i	0.711825	+	0.231286i	0.642475	−	0.766307i	$-0.277908\pi$
$997$	22.4761	+	7.30292i	0.711825	+	0.231286i	0.0693496	+	0.997592i	$0.477908\pi$
$998$	−3.28175	−	10.1002i	−0.103882	−	0.319716i
$999$	5.10165	−	1.16203i	0.161409	−	0.0367651i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	66.2.h.b.41.1	yes	8
3.2	odd	2		66.2.h.a.41.1	yes	8
4.3	odd	2		528.2.bn.a.305.2		8
11.2	odd	10		726.2.b.e.725.1		8
11.3	even	5		726.2.h.h.215.2		8
11.4	even	5		726.2.h.j.161.1		8
11.5	even	5		726.2.h.f.233.2		8
11.6	odd	10		726.2.h.a.233.2		8
11.7	odd	10		66.2.h.a.29.1	✓	8
11.8	odd	10		726.2.h.c.215.2		8
11.9	even	5		726.2.b.c.725.1		8
11.10	odd	2		726.2.h.d.239.1		8
12.11	even	2		528.2.bn.b.305.2		8
33.2	even	10		726.2.b.c.725.2		8
33.5	odd	10		726.2.h.c.233.2		8
33.8	even	10		726.2.h.f.215.2		8
33.14	odd	10		726.2.h.a.215.2		8
33.17	even	10		726.2.h.h.233.2		8
33.20	odd	10		726.2.b.e.725.2		8
33.26	odd	10		726.2.h.d.161.2		8
33.29	even	10	inner	66.2.h.b.29.2	yes	8
33.32	even	2		726.2.h.j.239.1		8
44.7	even	10		528.2.bn.b.161.2		8
132.95	odd	10		528.2.bn.a.161.1		8

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
66.2.h.a.29.1	✓	8	11.7	odd	10
66.2.h.a.41.1	yes	8	3.2	odd	2
66.2.h.b.29.2	yes	8	33.29	even	10	inner
66.2.h.b.41.1	yes	8	1.1	even	1	trivial
528.2.bn.a.161.1		8	132.95	odd	10
528.2.bn.a.305.2		8	4.3	odd	2
528.2.bn.b.161.2		8	44.7	even	10
528.2.bn.b.305.2		8	12.11	even	2
726.2.b.c.725.1		8	11.9	even	5
726.2.b.c.725.2		8	33.2	even	10
726.2.b.e.725.1		8	11.2	odd	10
726.2.b.e.725.2		8	33.20	odd	10
726.2.h.a.215.2		8	33.14	odd	10
726.2.h.a.233.2		8	11.6	odd	10
726.2.h.c.215.2		8	11.8	odd	10
726.2.h.c.233.2		8	33.5	odd	10
726.2.h.d.161.2		8	33.26	odd	10
726.2.h.d.239.1		8	11.10	odd	2
726.2.h.f.215.2		8	33.8	even	10
726.2.h.f.233.2		8	11.5	even	5
726.2.h.h.215.2		8	11.3	even	5
726.2.h.h.233.2		8	33.17	even	10
726.2.h.j.161.1		8	11.4	even	5
726.2.h.j.239.1		8	33.32	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:	\( N \)	\(=\)	\( 66 = 2 \cdot 3 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	66.h (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(-0.309017 - 1.70426i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56076 + 2.14820i) q^{5} +(-1.25174 - 1.19714i) q^{6} +(1.56076 + 0.507121i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(-2.80902 + 1.05329i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(-0.309017 - 1.70426i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-1.56076 + 2.14820i) q^{5} +(-1.25174 - 1.19714i) q^{6} +(1.56076 + 0.507121i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(-2.80902 + 1.05329i) q^{9} +2.65532i q^{10} +(2.77710 + 1.81321i) q^{11} +(-1.71634 - 0.232753i) q^{12} +(0.885446 + 1.21871i) q^{13} +(1.56076 - 0.507121i) q^{14} +(4.14339 + 1.99611i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-5.49344 - 3.99122i) q^{17} +(-1.65343 + 2.50323i) q^{18} +(-5.21982 + 1.69602i) q^{19} +(1.56076 + 2.14820i) q^{20} +(0.381966 - 2.81665i) q^{21} +(3.31250 - 0.165420i) q^{22} -4.78856i q^{23} +(-1.52536 + 0.820539i) q^{24} +(-0.633706 - 1.95035i) q^{25} +(1.43268 + 0.465507i) q^{26} +(2.66312 + 4.46182i) q^{27} +(0.964601 - 1.32766i) q^{28} +(-0.143392 + 0.441315i) q^{29} +(4.52536 - 0.820539i) q^{30} +(4.20067 - 3.05196i) q^{31} -1.00000 q^{32} +(2.23201 - 5.29321i) q^{33} -6.79026 q^{34} +(-3.52536 + 2.56132i) q^{35} +(0.133706 + 2.99702i) q^{36} +(0.311168 - 0.957676i) q^{37} +(-3.22603 + 4.44024i) q^{38} +(1.80339 - 1.88563i) q^{39} +(2.52536 + 0.820539i) q^{40} +(0.486479 + 1.49723i) q^{41} +(-1.34657 - 2.50323i) q^{42} -3.42500i q^{43} +(2.58263 - 2.08086i) q^{44} +(2.12151 - 7.67826i) q^{45} +(-2.81465 - 3.87403i) q^{46} +(9.52285 - 3.09416i) q^{47} +(-0.751740 + 1.56041i) q^{48} +(-3.48433 - 2.53151i) q^{49} +(-1.65906 - 1.20538i) q^{50} +(-5.10451 + 10.5956i) q^{51} +(1.43268 - 0.465507i) q^{52} +(5.77495 + 7.94853i) q^{53} +(4.77710 + 2.04434i) q^{54} +(-8.22951 + 3.13578i) q^{55} -1.64108i q^{56} +(4.50348 + 8.37184i) q^{57} +(0.143392 + 0.441315i) q^{58} +(-5.81307 - 1.88878i) q^{59} +(3.17879 - 3.32377i) q^{60} +(-8.17223 + 11.2481i) q^{61} +(1.60451 - 4.93818i) q^{62} +(-4.91834 + 0.219422i) q^{63} +(-0.809017 + 0.587785i) q^{64} -4.00000 q^{65} +(-1.30554 - 5.59424i) q^{66} +11.7972 q^{67} +(-5.49344 + 3.99122i) q^{68} +(-8.16097 + 1.47975i) q^{69} +(-1.34657 + 4.14431i) q^{70} +(0.527864 - 0.726543i) q^{71} +(1.86977 + 2.34605i) q^{72} +(-4.40076 - 1.42989i) q^{73} +(-0.311168 - 0.957676i) q^{74} +(-3.12808 + 1.68269i) q^{75} +5.48844i q^{76} +(3.41486 + 4.23830i) q^{77} +(0.350622 - 2.58551i) q^{78} +(-1.86762 - 2.57056i) q^{79} +(2.52536 - 0.820539i) q^{80} +(6.78115 - 5.91743i) q^{81} +(1.27362 + 0.925338i) q^{82} +(-1.51625 - 1.10162i) q^{83} +(-2.56076 - 1.23366i) q^{84} +(17.1478 - 5.57167i) q^{85} +(-2.01317 - 2.77089i) q^{86} +(0.796426 + 0.108003i) q^{87} +(0.866294 - 3.20149i) q^{88} +12.8092i q^{89} +(-2.79682 - 7.45883i) q^{90} +(0.763932 + 2.35114i) q^{91} +(-4.55420 - 1.47975i) q^{92} +(-6.49942 - 6.21593i) q^{93} +(5.88545 - 8.10062i) q^{94} +(4.50348 - 13.8603i) q^{95} +(0.309017 + 1.70426i) q^{96} +(2.90517 - 2.11073i) q^{97} -4.30687 q^{98} +(-9.71075 - 2.16824i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9}+O(q^{10}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9	\( 8 q + 2 q^{2} + 2 q^{3} - 2 q^{4} - 2 q^{6} + 2 q^{8} - 18 q^{9} - q^{11} - 3 q^{12} + 9 q^{15} - 2 q^{16} - 10 q^{17} - 7 q^{18} - 15 q^{19} + 12 q^{21} + 6 q^{22} + 3 q^{24} - 6 q^{25} - 10 q^{26} - 10 q^{27} + 5 q^{28} + 23 q^{29} + 21 q^{30} + 13 q^{31} - 8 q^{32} + 17 q^{33} + 10 q^{34} - 13 q^{35} + 2 q^{36} + 6 q^{37} + 10 q^{38} + 18 q^{39} + 5 q^{40} + 2 q^{41} - 17 q^{42} + 9 q^{44} - 8 q^{45} - 10 q^{46} + 10 q^{47} + 2 q^{48} - 18 q^{49} + q^{50} - 30 q^{51} - 10 q^{52} + 15 q^{53} + 15 q^{54} - 14 q^{55} + 20 q^{57} - 23 q^{58} - 25 q^{59} + 4 q^{60} - 10 q^{61} + 2 q^{62} + 16 q^{63} - 2 q^{64} - 32 q^{65} - 22 q^{66} - 2 q^{67} - 10 q^{68} - 26 q^{69} - 17 q^{70} + 40 q^{71} - 2 q^{72} + 5 q^{73} - 6 q^{74} - 34 q^{75} - 12 q^{77} - 8 q^{78} + 10 q^{79} + 5 q^{80} + 14 q^{81} + 3 q^{82} - 21 q^{83} - 8 q^{84} + 30 q^{85} + 25 q^{86} + 42 q^{87} + 6 q^{88} + 8 q^{90} + 24 q^{91} + 10 q^{92} - 53 q^{93} + 40 q^{94} + 20 q^{95} - 2 q^{96} + 9 q^{97} - 22 q^{98} + 34 q^{99}+O(q^{100}) \) 8 * q + 2 * q^2 + 2 * q^3 - 2 * q^4 - 2 * q^6 + 2 * q^8 - 18 * q^9 - q^11 - 3 * q^12 + 9 * q^15 - 2 * q^16 - 10 * q^17 - 7 * q^18 - 15 * q^19 + 12 * q^21 + 6 * q^22 + 3 * q^24 - 6 * q^25 - 10 * q^26 - 10 * q^27 + 5 * q^28 + 23 * q^29 + 21 * q^30 + 13 * q^31 - 8 * q^32 + 17 * q^33 + 10 * q^34 - 13 * q^35 + 2 * q^36 + 6 * q^37 + 10 * q^38 + 18 * q^39 + 5 * q^40 + 2 * q^41 - 17 * q^42 + 9 * q^44 - 8 * q^45 - 10 * q^46 + 10 * q^47 + 2 * q^48 - 18 * q^49 + q^50 - 30 * q^51 - 10 * q^52 + 15 * q^53 + 15 * q^54 - 14 * q^55 + 20 * q^57 - 23 * q^58 - 25 * q^59 + 4 * q^60 - 10 * q^61 + 2 * q^62 + 16 * q^63 - 2 * q^64 - 32 * q^65 - 22 * q^66 - 2 * q^67 - 10 * q^68 - 26 * q^69 - 17 * q^70 + 40 * q^71 - 2 * q^72 + 5 * q^73 - 6 * q^74 - 34 * q^75 - 12 * q^77 - 8 * q^78 + 10 * q^79 + 5 * q^80 + 14 * q^81 + 3 * q^82 - 21 * q^83 - 8 * q^84 + 30 * q^85 + 25 * q^86 + 42 * q^87 + 6 * q^88 + 8 * q^90 + 24 * q^91 + 10 * q^92 - 53 * q^93 + 40 * q^94 + 20 * q^95 - 2 * q^96 + 9 * q^97 - 22 * q^98 + 34 * q^99

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