LMFDB - Embedded newform 95.2.k.a.81.1

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [95,2,Mod(6,95)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(95, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 14]))

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

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

chi := DirichletCharacter("95.6");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 95 = 5 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	95.k (of order $9$, degree $6$, 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:	$0.758578819202$
Analytic rank:	$0$
Dimension:	$18$
Relative dimension:	$3$ over $\Q(\zeta_{9})$
Coefficient field:	$\mathbb{Q}[x]/(x^{18} - \cdots)$
comment: defining polynomial gp: f.mod \\ as an extension of the character field
Defining polynomial:	$ x^{18} - 3 x^{17} + 15 x^{16} - 14 x^{15} + 72 x^{14} - 51 x^{13} + 231 x^{12} - 93 x^{11} + 438 x^{10} + \cdots + 1 $ x^18 - 3x^17 + 15x^16 - 14x^15 + 72x^14 - 51x^13 + 231x^12 - 93x^11 + 438x^10 - 156x^9 + 582x^8 - 138x^7 + 437x^6 - 132x^5 + 198x^4 - 16x^3 + 15x^2 + 1
Coefficient ring:	$\Z[a_1, a_2, a_3]$
Coefficient ring index:	$ 1 $
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			81.1
Root			$-0.791558 - 1.37102i$ of defining polynomial
Character	$\chi$	$=$	95.81
Dual form			95.2.k.a.61.1

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-2.42733 + 0.883478i) q^{2} +(-0.0430161 + 0.243956i) q^{3} +(3.57933 - 3.00342i) q^{4} +(0.766044 + 0.642788i) q^{5} +(-0.111115 - 0.630167i) q^{6} +(0.200820 + 0.347830i) q^{7} +(-3.45167 + 5.97847i) q^{8} +(2.76141 + 1.00507i) q^{9} +O(q^{10})$	\(q+(-2.42733 + 0.883478i) q^{2} +(-0.0430161 + 0.243956i) q^{3} +(3.57933 - 3.00342i) q^{4} +(0.766044 + 0.642788i) q^{5} +(-0.111115 - 0.630167i) q^{6} +(0.200820 + 0.347830i) q^{7} +(-3.45167 + 5.97847i) q^{8} +(2.76141 + 1.00507i) q^{9} +(-2.42733 - 0.883478i) q^{10} +(-2.59530 + 4.49520i) q^{11} +(0.578733 + 1.00240i) q^{12} +(0.501737 + 2.84549i) q^{13} +(-0.794758 - 0.666881i) q^{14} +(-0.189764 + 0.159231i) q^{15} +(1.47378 - 8.35823i) q^{16} +(3.89339 - 1.41708i) q^{17} -7.59083 q^{18} +(0.386682 - 4.34171i) q^{19} +4.67249 q^{20} +(-0.0934938 + 0.0340290i) q^{21} +(2.32827 - 13.2043i) q^{22} +(2.57278 - 2.15882i) q^{23} +(-1.31001 - 1.09923i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-3.73181 - 6.46368i) q^{26} +(-0.735558 + 1.27402i) q^{27} +(1.76348 + 0.641855i) q^{28} +(-6.18683 - 2.25182i) q^{29} +(0.319944 - 0.554160i) q^{30} +(3.13119 + 5.42339i) q^{31} +(1.40944 + 7.99334i) q^{32} +(-0.984992 - 0.826506i) q^{33} +(-8.19861 + 6.87945i) q^{34} +(-0.0697440 + 0.395538i) q^{35} +(12.9027 - 4.69619i) q^{36} +1.14106 q^{37} +(2.89720 + 10.8804i) q^{38} -0.715757 q^{39} +(-6.48702 + 2.36108i) q^{40} +(0.496543 - 2.81603i) q^{41} +(0.196877 - 0.165199i) q^{42} +(-9.52394 - 7.99153i) q^{43} +(4.21150 + 23.8846i) q^{44} +(1.46932 + 2.54493i) q^{45} +(-4.33773 + 7.51317i) q^{46} +(-6.35381 - 2.31260i) q^{47} +(1.97565 + 0.719076i) q^{48} +(3.41934 - 5.92248i) q^{49} +(-1.29156 - 2.23704i) q^{50} +(0.178227 + 1.01077i) q^{51} +(10.3421 + 8.67803i) q^{52} +(9.42382 - 7.90752i) q^{53} +(0.659874 - 3.74233i) q^{54} +(-4.87758 + 1.77529i) q^{55} -2.77266 q^{56} +(1.04255 + 0.281097i) q^{57} +17.0069 q^{58} +(1.42380 - 0.518220i) q^{59} +(-0.200992 + 1.13988i) q^{60} +(-5.35269 + 4.49144i) q^{61} +(-12.3919 - 10.3980i) q^{62} +(0.204952 + 1.16234i) q^{63} +(-1.99595 - 3.45709i) q^{64} +(-1.44469 + 2.50228i) q^{65} +(3.12111 + 1.13599i) q^{66} +(0.711451 + 0.258947i) q^{67} +(9.67967 - 16.7657i) q^{68} +(0.415986 + 0.720510i) q^{69} +(-0.180157 - 1.02172i) q^{70} +(-6.38582 - 5.35834i) q^{71} +(-15.5403 + 13.0399i) q^{72} +(-1.72232 + 9.76776i) q^{73} +(-2.76974 + 1.00810i) q^{74} -0.247720 q^{75} +(-11.6559 - 16.7018i) q^{76} -2.08476 q^{77} +(1.73738 - 0.632356i) q^{78} +(0.553655 - 3.13994i) q^{79} +(6.50155 - 5.45545i) q^{80} +(6.47421 + 5.43251i) q^{81} +(1.28263 + 7.27414i) q^{82} +(-2.75971 - 4.77995i) q^{83} +(-0.232442 + 0.402602i) q^{84} +(3.89339 + 1.41708i) q^{85} +(30.1781 + 10.9839i) q^{86} +(0.815478 - 1.41245i) q^{87} +(-17.9163 - 31.0319i) q^{88} +(-2.17478 - 12.3338i) q^{89} +(-5.81492 - 4.87929i) q^{90} +(-0.888989 + 0.745950i) q^{91} +(2.72500 - 15.4543i) q^{92} +(-1.45776 + 0.530581i) q^{93} +17.4660 q^{94} +(3.08702 - 3.07739i) q^{95} -2.01065 q^{96} +(8.35815 - 3.04212i) q^{97} +(-3.06752 + 17.3967i) q^{98} +(-11.6847 + 9.80464i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) $ 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

$n$	$21$	$77$
$\chi(n)$	$e\left(\frac{8}{9}\right)$	$1$

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 $

$2$	−2.42733	+	0.883478i	−1.71639	+	0.624713i	−0.997517	−	0.0704330i	$-0.977562\pi$
$2$	−2.42733	+	0.883478i	−1.71639	+	0.624713i	−0.718869	+	0.695146i	$0.755340\pi$
$3$	−0.0430161	+	0.243956i	−0.0248353	+	0.140848i	−0.994704	−	0.102780i	$-0.967226\pi$
$3$	−0.0430161	+	0.243956i	−0.0248353	+	0.140848i	0.969869	+	0.243628i	$0.0783375\pi$
$4$	3.57933	−	3.00342i	1.78967	−	1.50171i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$5$	0.766044	+	0.642788i	0.342585	+	0.287463i
$6$	−0.111115	−	0.630167i	−0.0453627	−	0.257265i
$7$	0.200820	+	0.347830i	0.0759028	+	0.131468i	0.901479	−	0.432824i	$-0.142483\pi$
$7$	0.200820	+	0.347830i	0.0759028	+	0.131468i	−0.825576	+	0.564291i	$0.809149\pi$
$8$	−3.45167	+	5.97847i	−1.22035	+	2.11371i
$9$	2.76141	+	1.00507i	0.920471	+	0.335024i
$10$	−2.42733	−	0.883478i	−0.767591	−	0.279380i
$11$	−2.59530	+	4.49520i	−0.782514	+	1.35535i	0.147959	+	0.988993i	$0.452730\pi$
$11$	−2.59530	+	4.49520i	−0.782514	+	1.35535i	−0.930473	+	0.366360i	$0.880604\pi$
$12$	0.578733	+	1.00240i	0.167066	+	0.289367i
$13$	0.501737	+	2.84549i	0.139157	+	0.789197i	0.971875	+	0.235499i	$0.0756725\pi$
$13$	0.501737	+	2.84549i	0.139157	+	0.789197i	−0.832718	+	0.553698i	$0.813216\pi$
$14$	−0.794758	−	0.666881i	−0.212408	−	0.178231i
$15$	−0.189764	+	0.159231i	−0.0489969	+	0.0411133i
$16$	1.47378	−	8.35823i	0.368445	−	2.08956i
$17$	3.89339	−	1.41708i	0.944286	−	0.343692i	0.176429	−	0.984313i	$-0.443545\pi$
$17$	3.89339	−	1.41708i	0.944286	−	0.343692i	0.767857	+	0.640621i	$0.221323\pi$
$18$	−7.59083			−1.78918
$19$	0.386682	−	4.34171i	0.0887110	−	0.996057i
$19$	0.386682	−	4.34171i	0.0887110	−	0.996057i
$20$	4.67249			1.04480
$21$	−0.0934938	+	0.0340290i	−0.0204020	+	0.00742573i
$22$	2.32827	−	13.2043i	0.496388	−	2.81516i
$23$	2.57278	−	2.15882i	0.536462	−	0.450145i	−0.333864	−	0.942621i	$-0.608353\pi$
$23$	2.57278	−	2.15882i	0.536462	−	0.450145i	0.870326	+	0.492476i	$0.163908\pi$
$24$	−1.31001	−	1.09923i	−0.267404	−	0.224379i
$25$	0.173648	+	0.984808i	0.0347296	+	0.196962i
$26$	−3.73181	−	6.46368i	−0.731868	−	1.26763i
$27$	−0.735558	+	1.27402i	−0.141558	+	0.245186i
$28$	1.76348	+	0.641855i	0.333267	+	0.121299i
$29$	−6.18683	−	2.25182i	−1.14887	−	0.418153i	−0.303758	−	0.952749i	$-0.598241\pi$
$29$	−6.18683	−	2.25182i	−1.14887	−	0.418153i	−0.845107	+	0.534597i	$0.820464\pi$
$30$	0.319944	−	0.554160i	0.0584135	−	0.101175i
$31$	3.13119	+	5.42339i	0.562379	+	0.974069i	0.997288	+	0.0735948i	$0.0234472\pi$
$31$	3.13119	+	5.42339i	0.562379	+	0.974069i	−0.434909	+	0.900474i	$0.643220\pi$
$32$	1.40944	+	7.99334i	0.249156	+	1.41304i
$33$	−0.984992	−	0.826506i	−0.171465	−	0.143876i
$34$	−8.19861	+	6.87945i	−1.40605	+	1.17982i
$35$	−0.0697440	+	0.395538i	−0.0117889	+	0.0668581i
$36$	12.9027	−	4.69619i	2.15045	−	0.782698i
$37$	1.14106			0.187590			0.0937949	−	0.995592i	$-0.470100\pi$
$37$	1.14106			0.187590			0.0937949	+	0.995592i	$0.470100\pi$
$38$	2.89720	+	10.8804i	0.469988	+	1.76504i
$39$	−0.715757			−0.114613
$40$	−6.48702	+	2.36108i	−1.02569	+	0.373320i
$41$	0.496543	−	2.81603i	0.0775469	−	0.439790i	−0.921171	−	0.389159i	$-0.872766\pi$
$41$	0.496543	−	2.81603i	0.0775469	−	0.439790i	0.998717	−	0.0506312i	$-0.0161233\pi$
$42$	0.196877	−	0.165199i	0.0303788	−	0.0254908i
$43$	−9.52394	−	7.99153i	−1.45239	−	1.21870i	−0.930815	−	0.365491i	$-0.880901\pi$
$43$	−9.52394	−	7.99153i	−1.45239	−	1.21870i	−0.521572	−	0.853207i	$-0.674654\pi$
$44$	4.21150	+	23.8846i	0.634908	+	3.60074i
$45$	1.46932	+	2.54493i	0.219033	+	0.379376i
$46$	−4.33773	+	7.51317i	−0.639564	+	1.10776i
$47$	−6.35381	−	2.31260i	−0.926798	−	0.337327i	−0.165859	−	0.986150i	$-0.553040\pi$
$47$	−6.35381	−	2.31260i	−0.926798	−	0.337327i	−0.760940	+	0.648822i	$0.775262\pi$
$48$	1.97565	+	0.719076i	0.285160	+	0.103790i
$49$	3.41934	−	5.92248i	0.488478	−	0.846068i
$50$	−1.29156	−	2.23704i	−0.182654	−	0.316366i
$51$	0.178227	+	1.01077i	0.0249567	+	0.141537i
$52$	10.3421	+	8.67803i	1.43419	+	1.20343i
$53$	9.42382	−	7.90752i	1.29446	−	1.08618i	0.303387	−	0.952867i	$-0.401883\pi$
$53$	9.42382	−	7.90752i	1.29446	−	1.08618i	0.991074	−	0.133314i	$-0.0425619\pi$
$54$	0.659874	−	3.74233i	0.0897975	−	0.509267i
$55$	−4.87758	+	1.77529i	−0.657692	+	0.239380i
$56$	−2.77266			−0.370512
$57$	1.04255	+	0.281097i	0.138090	+	0.0372322i
$58$	17.0069			2.23312
$59$	1.42380	−	0.518220i	0.185363	−	0.0674665i	−0.247671	−	0.968844i	$-0.579665\pi$
$59$	1.42380	−	0.518220i	0.185363	−	0.0674665i	0.433034	+	0.901378i	$0.357443\pi$
$60$	−0.200992	+	1.13988i	−0.0259480	+	0.147158i
$61$	−5.35269	+	4.49144i	−0.685342	+	0.575070i	−0.917562	−	0.397593i	$-0.869845\pi$
$61$	−5.35269	+	4.49144i	−0.685342	+	0.575070i	0.232220	+	0.972663i	$0.425401\pi$
$62$	−12.3919	−	10.3980i	−1.57377	−	1.32055i
$63$	0.204952	+	1.16234i	0.0258216	+	0.146441i
$64$	−1.99595	−	3.45709i	−0.249494	−	0.432136i
$65$	−1.44469	+	2.50228i	−0.179192	+	0.310370i
$66$	3.12111	+	1.13599i	0.384182	+	0.139831i
$67$	0.711451	+	0.258947i	0.0869175	+	0.0316354i	0.385113	−	0.922869i	$-0.374162\pi$
$67$	0.711451	+	0.258947i	0.0869175	+	0.0316354i	−0.298195	+	0.954505i	$0.596385\pi$
$68$	9.67967	−	16.7657i	1.17383	−	2.03314i
$69$	0.415986	+	0.720510i	0.0500789	+	0.0867392i
$70$	−0.180157	−	1.02172i	−0.0215329	−	0.122119i
$71$	−6.38582	−	5.35834i	−0.757857	−	0.635918i	0.179711	−	0.983719i	$-0.442484\pi$
$71$	−6.38582	−	5.35834i	−0.757857	−	0.635918i	−0.937568	+	0.347802i	$0.886928\pi$
$72$	−15.5403	+	13.0399i	−1.83144	+	1.53676i
$73$	−1.72232	+	9.76776i	−0.201582	+	1.14323i	0.701146	+	0.713018i	$0.252672\pi$
$73$	−1.72232	+	9.76776i	−0.201582	+	1.14323i	−0.902728	+	0.430212i	$0.858439\pi$
$74$	−2.76974	+	1.00810i	−0.321976	+	0.117190i
$75$	−0.247720			−0.0286042
$76$	−11.6559	−	16.7018i	−1.33702	−	1.91583i
$77$	−2.08476			−0.237580
$78$	1.73738	−	0.632356i	0.196720	−	0.0716002i
$79$	0.553655	−	3.13994i	0.0622911	−	0.353270i	−0.937692	−	0.347467i	$-0.887042\pi$
$79$	0.553655	−	3.13994i	0.0622911	−	0.353270i	0.999983	−	0.00580301i	$-0.00184717\pi$
$80$	6.50155	−	5.45545i	0.726895	−	0.609937i
$81$	6.47421	+	5.43251i	0.719357	+	0.603612i
$82$	1.28263	+	7.27414i	0.141642	+	0.803294i
$83$	−2.75971	−	4.77995i	−0.302917	−	0.524668i	0.673878	−	0.738842i	$-0.264627\pi$
$83$	−2.75971	−	4.77995i	−0.302917	−	0.524668i	−0.976795	+	0.214174i	$0.931294\pi$
$84$	−0.232442	+	0.402602i	−0.0253615	+	0.0439275i
$85$	3.89339	+	1.41708i	0.422298	+	0.153704i
$86$	30.1781	+	10.9839i	3.25419	+	1.18443i
$87$	0.815478	−	1.41245i	0.0874285	−	0.151431i
$88$	−17.9163	−	31.0319i	−1.90988	−	3.30801i
$89$	−2.17478	−	12.3338i	−0.230527	−	1.30738i	−0.851833	−	0.523814i	$-0.824509\pi$
$89$	−2.17478	−	12.3338i	−0.230527	−	1.30738i	0.621306	−	0.783568i	$-0.286602\pi$
$90$	−5.81492	−	4.87929i	−0.612946	−	0.514323i
$91$	−0.888989	+	0.745950i	−0.0931914	+	0.0781968i
$92$	2.72500	−	15.4543i	0.284101	−	1.61122i
$93$	−1.45776	+	0.530581i	−0.151163	+	0.0550187i
$94$	17.4660			1.80148
$95$	3.08702	−	3.07739i	0.316721	−	0.315734i
$96$	−2.01065			−0.205211
$97$	8.35815	−	3.04212i	0.848642	−	0.308880i	0.119155	−	0.992876i	$-0.461981\pi$
$97$	8.35815	−	3.04212i	0.848642	−	0.308880i	0.729487	+	0.683995i	$0.239759\pi$
$98$	−3.06752	+	17.3967i	−0.309866	+	1.75734i
$99$	−11.6847	+	9.80464i	−1.17436	+	0.985403i
$100$	3.57933	+	3.00342i	0.357933	+	0.300342i
$101$	0.233727	+	1.32553i	0.0232567	+	0.131895i	0.994226	−	0.107311i	$-0.0342240\pi$
$101$	0.233727	+	1.32553i	0.0232567	+	0.131895i	−0.970969	+	0.239206i	$0.923113\pi$
$102$	−1.32561	−	2.29603i	−0.131255	−	0.227341i
$103$	−6.21391	+	10.7628i	−0.612275	+	1.06049i	0.378581	+	0.925568i	$0.376412\pi$
$103$	−6.21391	+	10.7628i	−0.612275	+	1.06049i	−0.990856	+	0.134923i	$0.956921\pi$
$104$	−18.7435	−	6.82208i	−1.83795	−	0.668960i
$105$	−0.0934938	−	0.0340290i	−0.00912406	−	0.00332089i
$106$	−15.8886	+	27.5199i	−1.54324	+	2.67297i
$107$	7.28110	+	12.6112i	0.703890	+	1.21917i	0.967091	+	0.254432i	$0.0818886\pi$
$107$	7.28110	+	12.6112i	0.703890	+	1.21917i	−0.263200	+	0.964741i	$0.584778\pi$
$108$	1.19362	+	6.76934i	0.114856	+	0.651380i
$109$	3.38582	+	2.84104i	0.324303	+	0.272122i	0.790374	−	0.612625i	$-0.209886\pi$
$109$	3.38582	+	2.84104i	0.324303	+	0.272122i	−0.466071	+	0.884747i	$0.654331\pi$
$110$	10.2711	−	8.61846i	0.979309	−	0.821738i
$111$	−0.0490841	+	0.278370i	−0.00465885	+	0.0264217i
$112$	3.20321	−	1.16587i	0.302675	−	0.110165i
$113$	8.08453			0.760528			0.380264	−	0.924878i	$-0.375833\pi$
$113$	8.08453			0.760528			0.380264	+	0.924878i	$0.375833\pi$
$114$	−2.77897	+	0.238757i	−0.260274	+	0.0223616i
$115$	3.35853			0.313184
$116$	−28.9079	+	10.5216i	−2.68403	+	0.976907i
$117$	−1.47442	+	8.36186i	−0.136310	+	0.773054i
$118$	−2.99820	+	2.51579i	−0.276006	+	0.231597i
$119$	1.27477	+	1.06966i	0.116858	+	0.0980557i
$120$	−0.296955	−	1.68411i	−0.0271081	−	0.153738i
$121$	−7.97122	−	13.8065i	−0.724656	−	1.25514i
$122$	9.02468	−	15.6312i	0.817056	−	1.41518i
$123$	0.665629	+	0.242269i	0.0600178	+	0.0218447i
$124$	27.4963	+	10.0078i	2.46924	+	0.898730i
$125$	−0.500000	+	0.866025i	−0.0447214	+	0.0774597i
$126$	−1.52439	−	2.64032i	−0.135804	−	0.235219i
$127$	−0.0974458	−	0.552642i	−0.00864691	−	0.0490391i	0.980179	−	0.198114i	$-0.0634816\pi$
$127$	−0.0974458	−	0.552642i	−0.00864691	−	0.0490391i	−0.988826	+	0.149075i	$0.952370\pi$
$128$	−4.53632	−	3.80642i	−0.400958	−	0.336444i
$129$	2.35927	−	1.97966i	0.207722	−	0.174299i
$130$	1.29604	−	7.35023i	0.113671	−	0.644658i
$131$	9.28037	−	3.37778i	0.810830	−	0.295118i	0.0968634	−	0.995298i	$-0.469119\pi$
$131$	9.28037	−	3.37778i	0.810830	−	0.295118i	0.713967	+	0.700180i	$0.246897\pi$
$132$	−6.00796			−0.522926
$133$	1.58783	−	0.737403i	0.137683	−	0.0639409i
$134$	−1.95570			−0.168947
$135$	−1.38240	+	0.503151i	−0.118978	+	0.0433044i
$136$	−4.96675	+	28.1678i	−0.425895	+	2.41537i
$137$	−6.86600	+	5.76126i	−0.586602	+	0.492217i	−0.887108	−	0.461563i	$-0.847289\pi$
$137$	−6.86600	+	5.76126i	−0.586602	+	0.492217i	0.300506	+	0.953780i	$0.402845\pi$
$138$	−1.64629	−	1.38140i	−0.140142	−	0.117593i
$139$	−2.28639	−	12.9668i	−0.193929	−	1.09983i	−0.913935	−	0.405860i	$-0.866972\pi$
$139$	−2.28639	−	12.9668i	−0.193929	−	1.09983i	0.720006	−	0.693968i	$-0.244139\pi$
$140$	0.938329	+	1.62523i	0.0793033	+	0.137357i
$141$	0.837488	−	1.45057i	0.0705292	−	0.122160i
$142$	20.2345	+	7.36475i	1.69804	+	0.618036i
$143$	−14.0932	−	5.12951i	−1.17853	−	0.428951i
$144$	12.4703	−	21.5993i	1.03920	−	1.79994i
$145$	−3.29194	−	5.70181i	−0.273381	−	0.473510i
$146$	−4.44895	−	25.2313i	−0.368198	−	2.08815i
$147$	1.29774	+	1.08893i	0.107036	+	0.0898135i
$148$	4.08425	−	3.42709i	0.335723	−	0.281705i
$149$	−1.42107	+	8.05930i	−0.116419	+	0.660243i	0.869619	+	0.493723i	$0.164364\pi$
$149$	−1.42107	+	8.05930i	−0.116419	+	0.660243i	−0.986038	+	0.166520i	$0.946747\pi$
$150$	0.601298	−	0.218855i	0.0490958	−	0.0178694i
$151$	7.60636			0.618997			0.309498	−	0.950900i	$-0.399839\pi$
$151$	7.60636			0.618997			0.309498	+	0.950900i	$0.399839\pi$
$152$	24.6221	+	17.2979i	1.99712	+	1.40305i
$153$	12.1755			0.984333
$154$	5.06040	−	1.84184i	0.407779	−	0.148419i
$155$	−1.08745	+	6.16725i	−0.0873463	+	0.495365i
$156$	−2.56193	+	2.14972i	−0.205119	+	0.172115i
$157$	−9.62566	−	8.07689i	−0.768212	−	0.644606i	0.172039	−	0.985090i	$-0.444965\pi$
$157$	−9.62566	−	8.07689i	−0.768212	−	0.644606i	−0.940250	+	0.340484i	$0.889409\pi$
$158$	1.43016	+	8.11082i	0.113777	+	0.645262i
$159$	1.52371	+	2.63915i	0.120838	+	0.209298i
$160$	−4.05832	+	7.02922i	−0.320839	+	0.555709i
$161$	1.26757	+	0.461357i	0.0998984	+	0.0363600i
$162$	−20.5146	−	7.46669i	−1.61178	−	0.586639i
$163$	1.64175	−	2.84359i	0.128591	−	0.222727i	−0.794540	−	0.607212i	$-0.792288\pi$
$163$	1.64175	−	2.84359i	0.128591	−	0.222727i	0.923131	+	0.384485i	$0.125621\pi$
$164$	−6.68043	−	11.5708i	−0.521654	−	0.903531i
$165$	−0.223280	−	1.26628i	−0.0173823	−	0.0985799i
$166$	10.9217	+	9.16441i	0.847689	+	0.711296i
$167$	−4.00460	+	3.36026i	−0.309885	+	0.260025i	−0.784445	−	0.620199i	$-0.787052\pi$
$167$	−4.00460	+	3.36026i	−0.309885	+	0.260025i	0.474559	+	0.880224i	$0.342607\pi$
$168$	0.119269	−	0.676407i	0.00920179	−	0.0521860i
$169$	4.37093	−	1.59089i	0.336226	−	0.122376i
$170$	−10.7025			−0.820846
$171$	5.43153	−	11.6006i	0.415359	−	0.887122i
$172$	−58.0913			−4.42942
$173$	−4.23385	+	1.54100i	−0.321894	+	0.117160i	−0.497913	−	0.867227i	$-0.665900\pi$
$173$	−4.23385	+	1.54100i	−0.321894	+	0.117160i	0.176019	+	0.984387i	$0.443678\pi$
$174$	−0.731571	+	4.14895i	−0.0554603	+	0.314531i
$175$	−0.307674	+	0.258169i	−0.0232580	+	0.0195158i
$176$	33.7470	+	28.3171i	2.54378	+	2.13448i
$177$	0.0651768	+	0.369636i	0.00489899	+	0.0277835i
$178$	16.1756	+	28.0169i	1.21241	+	2.09996i
$179$	1.88583	−	3.26636i	0.140954	−	0.244139i	−0.786902	−	0.617078i	$-0.788316\pi$
$179$	1.88583	−	3.26636i	0.140954	−	0.244139i	0.927856	+	0.372939i	$0.121650\pi$
$180$	12.9027	+	4.69619i	0.961708	+	0.350033i
$181$	−17.9437	−	6.53096i	−1.33374	−	0.485442i	−0.425906	−	0.904767i	$-0.640045\pi$
$181$	−17.9437	−	6.53096i	−1.33374	−	0.485442i	−0.907836	+	0.419325i	$0.862267\pi$
$182$	1.49884	−	2.59607i	0.111102	−	0.192434i
$183$	−0.865463	−	1.49903i	−0.0639768	−	0.110811i
$184$	4.02605	+	22.8328i	0.296804	+	1.68326i
$185$	0.874106	+	0.733462i	0.0642655	+	0.0539252i
$186$	3.06972	−	2.57580i	0.225082	−	0.188867i
$187$	−3.73449	+	21.1793i	−0.273093	+	1.54879i
$188$	−29.6881	+	10.8056i	−2.16523	+	0.788078i
$189$	−0.590859			−0.0429787
$190$	−4.77441	+	10.1972i	−0.346372	+	0.739780i
$191$	2.89599			0.209547			0.104773	−	0.994496i	$-0.466588\pi$
$191$	2.89599			0.209547			0.104773	+	0.994496i	$0.466588\pi$
$192$	0.929236	−	0.338214i	0.0670619	−	0.0244085i
$193$	1.97618	−	11.2075i	0.142249	−	0.806733i	−0.827286	−	0.561781i	$-0.810117\pi$
$193$	1.97618	−	11.2075i	0.142249	−	0.806733i	0.969535	−	0.244952i	$-0.0787724\pi$
$194$	−17.6004	+	14.7685i	−1.26363	+	1.06032i
$195$	−0.548302	−	0.460080i	−0.0392647	−	0.0329470i
$196$	−5.54870	−	31.4682i	−0.396336	−	2.24773i
$197$	5.07545	+	8.79093i	0.361610	+	0.626328i	0.988226	−	0.153001i	$-0.0488937\pi$
$197$	5.07545	+	8.79093i	0.361610	+	0.626328i	−0.626616	+	0.779329i	$0.715560\pi$
$198$	19.7005	−	34.1223i	1.40006	−	2.42497i
$199$	2.75352	+	1.00220i	0.195192	+	0.0710440i	0.437766	−	0.899089i	$-0.355770\pi$
$199$	2.75352	+	1.00220i	0.195192	+	0.0710440i	−0.242575	+	0.970133i	$0.577992\pi$
$200$	−6.48702	−	2.36108i	−0.458702	−	0.166954i
$201$	−0.0937755	+	0.162424i	−0.00661441	+	0.0114565i
$202$	−1.73841	−	3.01101i	−0.122314	−	0.211854i
$203$	−0.459187	−	2.60418i	−0.0322286	−	0.182777i
$204$	3.67371	+	3.08261i	0.257211	+	0.215826i
$205$	2.19048	−	1.83803i	0.152990	−	0.128374i
$206$	5.57454	−	31.6148i	0.388397	−	2.20271i
$207$	9.27428	−	3.37556i	0.644607	−	0.234618i
$208$	24.5227			1.70034
$209$	18.5133	+	13.0063i	1.28059	+	0.899664i
$210$	0.257005			0.0177350
$211$	5.17374	−	1.88309i	0.356175	−	0.129637i	−0.157734	−	0.987482i	$-0.550419\pi$
$211$	5.17374	−	1.88309i	0.356175	−	0.129637i	0.513909	+	0.857845i	$0.328197\pi$
$212$	9.98140	−	56.6073i	0.685525	−	3.88781i
$213$	1.58189	−	1.32737i	0.108389	−	0.0909496i
$214$	−28.8154	−	24.1790i	−1.96978	−	1.65284i
$215$	−2.15890	−	12.2437i	−0.147236	−	0.835016i
$216$	−5.07781	−	8.79503i	−0.345501	−	0.598426i
$217$	−1.25761	+	2.17825i	−0.0853723	+	0.147869i
$218$	−10.7285	−	3.90486i	−0.726626	−	0.264470i
$219$	−2.30882	−	0.840341i	−0.156015	−	0.0567850i
$220$	−12.1265	+	21.0038i	−0.817571	+	1.41607i
$221$	5.98574	+	10.3676i	0.402644	+	0.697400i
$222$	−0.126790	−	0.719061i	−0.00850958	−	0.0482602i
$223$	6.09836	+	5.11713i	0.408376	+	0.342669i	0.823721	−	0.566996i	$-0.191894\pi$
$223$	6.09836	+	5.11713i	0.408376	+	0.342669i	−0.415344	+	0.909664i	$0.636339\pi$
$224$	−2.49728	+	2.09547i	−0.166857	+	0.140009i
$225$	−0.510289	+	2.89399i	−0.0340192	+	0.192933i
$226$	−19.6239	+	7.14250i	−1.30536	+	0.475112i
$227$	8.02439			0.532597			0.266299	−	0.963891i	$-0.414199\pi$
$227$	8.02439			0.532597			0.266299	+	0.963891i	$0.414199\pi$
$228$	4.57590	−	2.12509i	0.303046	−	0.140737i
$229$	−28.2466			−1.86659			−0.933295	−	0.359111i	$-0.883080\pi$
$229$	−28.2466			−1.86659			−0.933295	+	0.359111i	$0.883080\pi$
$230$	−8.15227	+	2.96718i	−0.537545	+	0.195650i
$231$	0.0896780	−	0.508589i	0.00590038	−	0.0334627i
$232$	34.8174	−	29.2152i	2.28587	−	1.91807i
$233$	7.23338	+	6.06953i	0.473875	+	0.397628i	0.848206	−	0.529667i	$-0.177683\pi$
$233$	7.23338	+	6.06953i	0.473875	+	0.397628i	−0.374331	+	0.927295i	$0.622128\pi$
$234$	−3.80860	−	21.5996i	−0.248976	−	1.41201i
$235$	−3.38079	−	5.85570i	−0.220539	−	0.381984i
$236$	3.53981	−	6.13114i	0.230422	−	0.399103i
$237$	0.742191	+	0.270135i	0.0482105	+	0.0175472i
$238$	−4.03932	−	1.47019i	−0.261831	−	0.0952985i
$239$	−5.89638	+	10.2128i	−0.381405	+	0.660613i	−0.991263	−	0.131897i	$-0.957893\pi$
$239$	−5.89638	+	10.2128i	−0.381405	+	0.660613i	0.609858	+	0.792511i	$0.291226\pi$
$240$	1.05122	+	1.82076i	0.0678559	+	0.117530i
$241$	−2.22273	−	12.6057i	−0.143179	−	0.812007i	−0.968811	−	0.247799i	$-0.920293\pi$
$241$	−2.22273	−	12.6057i	−0.143179	−	0.812007i	0.825633	−	0.564208i	$-0.190818\pi$
$242$	31.5466	+	26.4707i	2.02789	+	1.70160i
$243$	−4.98461	+	4.18258i	−0.319763	+	0.268313i
$244$	−5.66939	+	32.1527i	−0.362946	+	2.05837i
$245$	6.42626	−	2.33897i	0.410559	−	0.149431i
$246$	−1.82974			−0.116660
$247$	12.5483	−	1.07810i	0.798430	−	0.0685976i
$248$	−43.2314			−2.74520
$249$	1.28481	−	0.467633i	0.0814216	−	0.0296350i
$250$	0.448553	−	2.54387i	0.0283690	−	0.160889i
$251$	1.83823	−	1.54246i	0.116028	−	0.0973590i	−0.582928	−	0.812524i	$-0.698093\pi$
$251$	1.83823	−	1.54246i	0.116028	−	0.0973590i	0.698956	+	0.715165i	$0.253648\pi$
$252$	4.22459	+	3.54485i	0.266124	+	0.223305i
$253$	3.02717	+	17.1680i	0.190317	+	1.07934i
$254$	0.724781	+	1.25536i	0.0454768	+	0.0787681i
$255$	−0.513183	+	0.888860i	−0.0321368	+	0.0556625i
$256$	21.8764	+	7.96235i	1.36727	+	0.497647i
$257$	−16.1772	−	5.88802i	−1.00911	−	0.367285i	−0.216017	−	0.976390i	$-0.569307\pi$
$257$	−16.1772	−	5.88802i	−1.00911	−	0.367285i	−0.793090	+	0.609105i	$0.791529\pi$
$258$	−3.97774	+	6.88966i	−0.247644	+	0.428931i
$259$	0.229148	+	0.396897i	0.0142386	+	0.0246620i
$260$	2.34436	+	13.2955i	0.145391	+	0.824553i
$261$	−14.8211	−	12.4364i	−0.917406	−	0.769795i
$262$	−19.5424	+	16.3980i	−1.20733	+	1.01307i
$263$	2.54981	−	14.4607i	0.157228	−	0.891685i	−0.799492	−	0.600677i	$-0.794898\pi$
$263$	2.54981	−	14.4607i	0.157228	−	0.891685i	0.956720	−	0.291009i	$-0.0939909\pi$
$264$	8.34112	−	3.03592i	0.513360	−	0.186848i
$265$	12.3019			0.755701
$266$	−3.20272	+	3.19274i	−0.196372	+	0.195759i
$267$	3.10246			0.189868
$268$	3.32424	−	1.20993i	0.203061	−	0.0739080i
$269$	−3.89891	+	22.1118i	−0.237721	+	1.34818i	0.599086	+	0.800685i	$0.295531\pi$
$269$	−3.89891	+	22.1118i	−0.237721	+	1.34818i	−0.836807	+	0.547498i	$0.815580\pi$
$270$	2.91102	−	2.44263i	0.177159	−	0.148654i
$271$	10.1742	+	8.53716i	0.618038	+	0.518596i	0.897186	−	0.441652i	$-0.145608\pi$
$271$	10.1742	+	8.53716i	0.618038	+	0.518596i	−0.279148	+	0.960248i	$0.590052\pi$
$272$	−6.10626	−	34.6303i	−0.370246	−	2.09977i
$273$	−0.143738	−	0.248962i	−0.00869944	−	0.0150679i
$274$	11.5761	−	20.0505i	0.699340	−	1.21129i
$275$	−4.87758	−	1.77529i	−0.294129	−	0.107054i
$276$	3.65294	+	1.32956i	0.219881	+	0.0800303i
$277$	−1.67963	+	2.90921i	−0.100919	+	0.174797i	−0.912064	−	0.410049i	$-0.865512\pi$
$277$	−1.67963	+	2.90921i	−0.100919	+	0.174797i	0.811144	+	0.584846i	$0.198845\pi$
$278$	17.0057	+	29.4548i	1.01993	+	1.76658i
$279$	3.19563	+	18.1233i	0.191317	+	1.08501i
$280$	−2.12398	−	1.78223i	−0.126932	−	0.106509i
$281$	15.3380	−	12.8702i	0.914991	−	0.767769i	−0.0580707	−	0.998312i	$-0.518495\pi$
$281$	15.3380	−	12.8702i	0.914991	−	0.767769i	0.973062	+	0.230544i	$0.0740504\pi$
$282$	−0.751316	+	4.26093i	−0.0447402	+	0.253735i
$283$	−0.498021	+	0.181265i	−0.0296043	+	0.0107751i	−0.356780	−	0.934188i	$-0.616125\pi$
$283$	−0.498021	+	0.181265i	−0.0296043	+	0.0107751i	0.327176	+	0.944964i	$0.393903\pi$
$284$	−38.9503			−2.31127
$285$	0.617957	+	0.885474i	0.0366046	+	0.0524509i
$286$	38.7407			2.29079
$287$	1.07922	−	0.392803i	0.0637042	−	0.0231864i
$288$	−4.14183	+	23.4895i	−0.244060	+	1.38413i
$289$	0.127626	−	0.107091i	0.00750741	−	0.00629946i
$290$	13.0281	+	10.9318i	0.765035	+	0.641940i
$291$	0.382609	+	2.16988i	0.0224289	+	0.127201i
$292$	23.1719	+	40.1349i	1.35603	+	2.34872i
$293$	−15.8074	+	27.3793i	−0.923480	+	1.59951i	−0.129492	+	0.991580i	$0.541335\pi$
$293$	−15.8074	+	27.3793i	−0.923480	+	1.59951i	−0.793988	+	0.607934i	$0.791999\pi$
$294$	−4.11209	−	1.49668i	−0.239822	−	0.0872881i
$295$	1.42380	+	0.518220i	0.0828967	+	0.0301719i
$296$	−3.93858	+	6.82182i	−0.228925	+	0.396510i
$297$	−3.81799	−	6.61296i	−0.221543	−	0.383723i
$298$	−3.67079	−	20.8181i	−0.212643	−	1.20596i
$299$	7.43376	+	6.23766i	0.429905	+	0.360733i
$300$	−0.886671	+	0.744005i	−0.0511920	+	0.0429552i
$301$	0.867101	−	4.91757i	0.0499789	−	0.283444i
$302$	−18.4632	+	6.72005i	−1.06244	+	0.386695i
$303$	−0.333425			−0.0191548
$304$	−35.7192	−	9.63072i	−2.04863	−	0.552359i
$305$	−6.98744			−0.400100
$306$	−29.5541	+	10.7568i	−1.68949	+	0.614926i
$307$	1.59262	−	9.03222i	0.0908958	−	0.515496i	−0.905032	−	0.425343i	$-0.860153\pi$
$307$	1.59262	−	9.03222i	0.0908958	−	0.515496i	0.995928	−	0.0901527i	$-0.0287355\pi$
$308$	−7.46204	+	6.26139i	−0.425189	+	0.356776i
$309$	−2.35836	−	1.97890i	−0.134162	−	0.112575i
$310$	−2.80902	−	15.9307i	−0.159541	−	0.904804i
$311$	12.0255	+	20.8288i	0.681906	+	1.18110i	0.974399	+	0.224828i	$0.0721819\pi$
$311$	12.0255	+	20.8288i	0.681906	+	1.18110i	−0.292493	+	0.956268i	$0.594485\pi$
$312$	2.47056	−	4.27914i	0.139868	−	0.242258i
$313$	2.31124	+	0.841224i	0.130639	+	0.0475488i	0.406512	−	0.913645i	$-0.366745\pi$
$313$	2.31124	+	0.841224i	0.130639	+	0.0475488i	−0.275873	+	0.961194i	$0.588967\pi$
$314$	30.5005	+	11.1013i	1.72124	+	0.626480i
$315$	−0.590137	+	1.02215i	−0.0332504	+	0.0575914i
$316$	−7.44882	−	12.9017i	−0.419029	−	0.725779i
$317$	1.21940	+	6.91555i	0.0684882	+	0.388416i	0.999713	+	0.0239697i	$0.00763053\pi$
$317$	1.21940	+	6.91555i	0.0684882	+	0.388416i	−0.931225	+	0.364446i	$0.881258\pi$
$318$	−6.03019	−	5.05993i	−0.338156	−	0.283747i
$319$	26.1791	−	21.9669i	1.46575	−	1.22991i
$320$	0.693187	−	3.93126i	0.0387503	−	0.219764i
$321$	−3.38979	+	1.23378i	−0.189200	+	0.0688631i
$322$	−3.48441			−0.194179
$323$	−4.64704	−	17.4519i	−0.258568	−	0.971052i
$324$	39.4894			2.19386
$325$	−2.71513	+	0.988228i	−0.150609	+	0.0548170i
$326$	−1.47282	+	8.35278i	−0.0815720	+	0.462618i
$327$	−0.838733	+	0.703781i	−0.0463821	+	0.0389192i
$328$	15.1217	+	12.6886i	0.834955	+	0.700610i
$329$	−0.471580	−	2.67446i	−0.0259991	−	0.147448i
$330$	1.66071	+	2.87643i	0.0914188	+	0.158342i
$331$	−8.70524	+	15.0779i	−0.478483	+	0.828758i	−0.999696	−	0.0246694i	$-0.992147\pi$
$331$	−8.70524	+	15.0779i	−0.478483	+	0.828758i	0.521212	+	0.853427i	$0.325480\pi$
$332$	−24.2341	−	8.82049i	−1.33002	−	0.484087i
$333$	3.15095	+	1.14685i	0.172671	+	0.0628471i
$334$	6.75180	−	11.6945i	0.369442	−	0.639892i
$335$	0.378555	+	0.655676i	0.0206827	+	0.0358234i
$336$	0.146632	+	0.831594i	0.00799946	+	0.0453672i
$337$	−25.0326	−	21.0048i	−1.36361	−	1.14420i	−0.974849	−	0.222866i	$-0.928459\pi$
$337$	−25.0326	−	21.0048i	−1.36361	−	1.14420i	−0.388761	−	0.921339i	$-0.627097\pi$
$338$	−9.20420	+	7.72324i	−0.500643	+	0.420089i
$339$	−0.347764	+	1.97227i	−0.0188880	+	0.107119i
$340$	18.1918	−	6.62128i	0.986590	−	0.359089i
$341$	−32.5056			−1.76028
$342$	−2.93524	+	32.9572i	−0.158720	+	1.78212i
$343$	5.55817			0.300113
$344$	80.6507	−	29.3545i	4.34839	−	1.58269i
$345$	−0.144471	+	0.819333i	−0.00777803	+	0.0441114i
$346$	8.91554	−	7.48102i	0.479302	−	0.402182i
$347$	5.46153	+	4.58277i	0.293191	+	0.246016i	0.777503	−	0.628879i	$-0.216486\pi$
$347$	5.46153	+	4.58277i	0.293191	+	0.246016i	−0.484313	+	0.874895i	$0.660930\pi$
$348$	−1.32331	−	7.50485i	−0.0709368	−	0.402302i
$349$	−11.3504	−	19.6595i	−0.607575	−	1.05235i	−0.991639	−	0.129044i	$-0.958809\pi$
$349$	−11.3504	−	19.6595i	−0.607575	−	1.05235i	0.384064	−	0.923307i	$-0.374524\pi$
$350$	0.518741	−	0.898486i	0.0277279	−	0.0480261i
$351$	−3.99428	−	1.45380i	−0.213199	−	0.0775980i
$352$	−39.5896	−	14.4094i	−2.11013	−	0.768025i
$353$	2.24694	−	3.89182i	0.119593	−	0.207141i	−0.800014	−	0.599982i	$-0.795174\pi$
$353$	2.24694	−	3.89182i	0.119593	−	0.207141i	0.919606	+	0.392841i	$0.128508\pi$
$354$	−0.484771	−	0.839648i	−0.0257653	−	0.0446268i
$355$	−1.44755	−	8.20945i	−0.0768278	−	0.435712i
$356$	−44.8279	−	37.6151i	−2.37587	−	1.99359i
$357$	−0.315786	+	0.264976i	−0.0167132	+	0.0140240i
$358$	−1.69179	+	9.59464i	−0.0894140	+	0.507092i
$359$	−9.94626	+	3.62014i	−0.524943	+	0.191064i	−0.590879	−	0.806760i	$-0.701219\pi$
$359$	−9.94626	+	3.62014i	−0.524943	+	0.191064i	0.0659357	+	0.997824i	$0.478997\pi$
$360$	−20.2864			−1.06919
$361$	−18.7010	−	3.35773i	−0.984261	−	0.176723i
$362$	49.3252			2.59248
$363$	3.71108	−	1.35072i	0.194781	−	0.0708946i
$364$	−0.941588	+	5.34001i	−0.0493526	+	0.279893i
$365$	−7.59797	+	6.37545i	−0.397696	+	0.333706i
$366$	3.42512	+	2.87402i	0.179034	+	0.150227i
$367$	−0.313391	−	1.77733i	−0.0163589	−	0.0927759i	0.975535	−	0.219843i	$-0.0705546\pi$
$367$	−0.313391	−	1.77733i	−0.0163589	−	0.0927759i	−0.991894	+	0.127067i	$0.959444\pi$
$368$	−14.2522	−	24.6855i	−0.742947	−	1.28682i
$369$	4.20148	−	7.27717i	0.218720	−	0.378834i
$370$	−2.76974	−	1.00810i	−0.143992	−	0.0524089i
$371$	4.64297	+	1.68990i	0.241051	+	0.0877353i
$372$	−3.62425	+	6.27739i	−0.187909	+	0.325468i
$373$	6.48193	+	11.2270i	0.335622	+	0.581314i	0.983604	−	0.180342i	$-0.0577203\pi$
$373$	6.48193	+	11.2270i	0.335622	+	0.581314i	−0.647982	+	0.761655i	$0.724387\pi$
$374$	−9.64661	−	54.7086i	−0.498814	−	2.82892i
$375$	−0.189764	−	0.159231i	−0.00979938	−	0.00822266i
$376$	35.7571	−	30.0038i	1.84403	−	1.54733i
$377$	3.30338	−	18.7344i	0.170132	−	0.964869i
$378$	1.43421	−	0.522011i	0.0737679	−	0.0268493i
$379$	33.1372			1.70214			0.851071	−	0.525051i	$-0.175954\pi$
$379$	33.1372			1.70214			0.851071	+	0.525051i	$0.175954\pi$
$380$	1.80677	−	20.2866i	0.0926853	−	1.04068i
$381$	0.139012			0.00712181
$382$	−7.02955	+	2.55855i	−0.359663	+	0.130907i
$383$	3.50654	−	19.8866i	0.179176	−	1.01616i	−0.754037	−	0.656832i	$-0.771896\pi$
$383$	3.50654	−	19.8866i	0.179176	−	1.01616i	0.933213	−	0.359324i	$-0.116993\pi$
$384$	1.12374	−	0.942926i	0.0573454	−	0.0481185i
$385$	−1.59702	−	1.34006i	−0.0813915	−	0.0682955i
$386$	5.10471	+	28.9503i	0.259823	+	1.47353i
$387$	−18.2675	−	31.6402i	−0.928588	−	1.60836i
$388$	20.7799	−	35.9918i	1.05494	−	1.82721i
$389$	1.90648	+	0.693903i	0.0966625	+	0.0351823i	0.389899	−	0.920858i	$-0.372510\pi$
$389$	1.90648	+	0.693903i	0.0966625	+	0.0351823i	−0.293236	+	0.956040i	$0.594732\pi$
$390$	1.73738	+	0.632356i	0.0879758	+	0.0320206i
$391$	6.95762	−	12.0510i	0.351862	−	0.609443i
$392$	23.6049	+	40.8849i	1.19223	+	2.06500i
$393$	0.424825	+	2.40930i	0.0214296	+	0.121533i
$394$	−20.0864	−	16.8545i	−1.01194	−	0.849117i
$395$	2.44244	−	2.04945i	0.122892	−	0.103119i
$396$	−12.3761	+	70.1881i	−0.621920	+	3.52709i
$397$	−7.54838	+	2.74738i	−0.378842	+	0.137887i	−0.524420	−	0.851459i	$-0.675718\pi$
$397$	−7.54838	+	2.74738i	−0.378842	+	0.137887i	0.145578	+	0.989347i	$0.453496\pi$
$398$	−7.56914			−0.379406
$399$	0.111592	+	0.419082i	0.00558657	+	0.0209803i
$400$	8.48717			0.424358
$401$	13.5128	−	4.91825i	0.674796	−	0.245606i	0.0181845	−	0.999835i	$-0.494211\pi$
$401$	13.5128	−	4.91825i	0.674796	−	0.245606i	0.656611	+	0.754229i	$0.271989\pi$
$402$	0.0841266	−	0.477106i	0.00419585	−	0.0237959i
$403$	−13.8612	+	11.6309i	−0.690473	+	0.579376i
$404$	4.81770	+	4.04253i	0.239690	+	0.201124i
$405$	1.46758	+	8.32308i	0.0729248	+	0.413577i
$406$	3.41533	+	5.91553i	0.169500	+	0.293583i
$407$	−2.96141	+	5.12931i	−0.146792	+	0.254250i
$408$	−6.65806	−	2.42334i	−0.329623	−	0.119973i
$409$	−0.227020	−	0.0826284i	−0.0112254	−	0.00408571i	0.336401	−	0.941719i	$-0.390790\pi$
$409$	−0.227020	−	0.0826284i	−0.0112254	−	0.00408571i	−0.347627	+	0.937633i	$0.613012\pi$
$410$	−3.69318	+	6.39677i	−0.182393	+	0.315914i
$411$	−1.11015	−	1.92283i	−0.0547595	−	0.0948462i
$412$	10.0835	+	57.1867i	0.496781	+	2.81738i
$413$	0.466179	+	0.391171i	0.0229392	+	0.0192483i
$414$	−19.5296	+	16.3872i	−0.959825	+	0.805389i
$415$	0.958436	−	5.43556i	0.0470478	−	0.266821i
$416$	−22.0378	+	8.02110i	−1.08049	+	0.393267i
$417$	3.26168			0.159725
$418$	−56.4288	−	15.2145i	−2.76002	−	0.744166i
$419$	−22.7086			−1.10939			−0.554693	−	0.832055i	$-0.687164\pi$
$419$	−22.7086			−1.10939			−0.554693	+	0.832055i	$0.687164\pi$
$420$	−0.436849	+	0.159000i	−0.0213160	+	0.00775840i
$421$	−4.33685	+	24.5955i	−0.211365	+	1.19871i	0.675738	+	0.737142i	$0.263825\pi$
$421$	−4.33685	+	24.5955i	−0.211365	+	1.19871i	−0.887103	+	0.461571i	$0.847286\pi$
$422$	−10.8947	+	9.14177i	−0.530347	+	0.445014i
$423$	−15.2212	−	12.7721i	−0.740079	−	0.621000i
$424$	14.7470	+	83.6342i	0.716176	+	4.06164i
$425$	2.07163	+	3.58817i	0.100489	+	0.174052i
$426$	−2.66708	+	4.61953i	−0.129221	+	0.223817i
$427$	−2.63719	−	0.959857i	−0.127622	−	0.0464507i
$428$	63.9383	+	23.2716i	3.09057	+	1.12488i
$429$	1.85761	−	3.21747i	0.0896862	−	0.155341i
$430$	16.0575	+	27.8123i	0.774359	+	1.34123i
$431$	3.10128	+	17.5883i	0.149384	+	0.847196i	0.963742	+	0.266835i	$0.0859777\pi$
$431$	3.10128	+	17.5883i	0.149384	+	0.847196i	−0.814359	+	0.580362i	$0.802911\pi$
$432$	9.56453	+	8.02560i	0.460174	+	0.386132i
$433$	−29.9613	+	25.1405i	−1.43985	+	1.20818i	−0.500257	+	0.865877i	$0.666761\pi$
$433$	−29.9613	+	25.1405i	−1.43985	+	1.20818i	−0.939591	+	0.342299i	$0.888794\pi$
$434$	1.12821	−	6.39841i	0.0541559	−	0.307134i
$435$	1.53260	−	0.557820i	0.0734825	−	0.0267454i
$436$	20.6518			0.989042
$437$	−8.37813	−	12.0051i	−0.400780	−	0.574280i
$438$	6.34670			0.303257
$439$	−17.6050	+	6.40768i	−0.840239	+	0.305822i	−0.726054	−	0.687638i	$-0.758648\pi$
$439$	−17.6050	+	6.40768i	−0.840239	+	0.305822i	−0.114185	+	0.993460i	$0.536426\pi$
$440$	6.22226	−	35.2882i	0.296635	−	1.68230i
$441$	15.3947	−	12.9177i	0.733083	−	0.615129i
$442$	−23.6889	−	19.8774i	−1.12677	−	0.945471i
$443$	2.96093	+	16.7923i	0.140678	+	0.797826i	0.970736	+	0.240149i	$0.0771962\pi$
$443$	2.96093	+	16.7923i	0.140678	+	0.797826i	−0.830058	+	0.557677i	$0.811693\pi$
$444$	0.660372	+	1.14380i	0.0313399	+	0.0542822i
$445$	6.26204	−	10.8462i	0.296849	−	0.514158i
$446$	−19.3236	−	7.03323i	−0.915001	−	0.333033i
$447$	−1.90499	−	0.693358i	−0.0901028	−	0.0327947i
$448$	0.801654	−	1.38851i	0.0378746	−	0.0656007i
$449$	−6.10161	−	10.5683i	−0.287953	−	0.498749i	0.685368	−	0.728197i	$-0.259641\pi$
$449$	−6.10161	−	10.5683i	−0.287953	−	0.498749i	−0.973321	+	0.229448i	$0.926308\pi$
$450$	−1.31813	−	7.47551i	−0.0621375	−	0.352399i
$451$	11.3700	+	9.54052i	0.535390	+	0.449246i
$452$	28.9372	−	24.2812i	1.36109	−	1.14209i
$453$	−0.327195	+	1.85562i	−0.0153730	+	0.0871845i
$454$	−19.4779	+	7.08937i	−0.914142	+	0.332721i
$455$	−1.16049			−0.0544047
$456$	−5.27909	+	5.26263i	−0.247216	+	0.246445i
$457$	−13.4079			−0.627193			−0.313596	−	0.949556i	$-0.601534\pi$
$457$	−13.4079			−0.627193			−0.313596	+	0.949556i	$0.601534\pi$
$458$	68.5640	−	24.9553i	3.20379	−	1.16608i
$459$	−1.05842	+	6.00262i	−0.0494030	+	0.280178i
$460$	12.0213	−	10.0871i	0.560495	−	0.470311i
$461$	−10.7371	−	9.00946i	−0.500075	−	0.419613i	0.357546	−	0.933896i	$-0.383614\pi$
$461$	−10.7371	−	9.00946i	−0.500075	−	0.419613i	−0.857621	+	0.514283i	$0.828058\pi$
$462$	0.231649	+	1.31374i	0.0107773	+	0.0611209i
$463$	−13.0889	−	22.6706i	−0.608292	−	1.05359i	−0.991522	−	0.129940i	$-0.958522\pi$
$463$	−13.0889	−	22.6706i	−0.608292	−	1.05359i	0.383230	−	0.923653i	$-0.374812\pi$
$464$	−27.9393	+	48.3922i	−1.29705	+	2.24655i
$465$	−1.45776	−	0.530581i	−0.0676020	−	0.0246051i
$466$	−22.9201	−	8.34225i	−1.06175	−	0.386447i
$467$	19.7941	−	34.2843i	0.915960	−	1.58649i	0.110470	−	0.993879i	$-0.464764\pi$
$467$	19.7941	−	34.2843i	0.915960	−	1.58649i	0.805490	−	0.592609i	$-0.201902\pi$
$468$	19.8367	+	34.3582i	0.916952	+	1.58821i
$469$	0.0528039	+	0.299466i	0.00243826	+	0.0138280i
$470$	13.3797	+	11.2269i	0.617159	+	0.517858i
$471$	2.38447	−	2.00080i	0.109870	−	0.0921922i
$472$	−1.81632	+	10.3009i	−0.0836029	+	0.474135i
$473$	60.6411	−	22.0715i	2.78828	−	1.01485i
$474$	−2.04020			−0.0937097
$475$	4.34290	−	0.373123i	0.199266	−	0.0171201i
$476$	7.77548			0.356389
$477$	33.9707	−	12.3643i	1.55541	−	0.566123i
$478$	5.28968	−	29.9993i	0.241944	−	1.37214i
$479$	2.89476	−	2.42899i	0.132265	−	0.110983i	−0.574255	−	0.818676i	$-0.694708\pi$
$479$	2.89476	−	2.42899i	0.132265	−	0.110983i	0.706520	+	0.707693i	$0.250264\pi$
$480$	−1.54025	−	1.29242i	−0.0703024	−	0.0589907i
$481$	0.572514	+	3.24689i	0.0261044	+	0.148045i
$482$	16.5322	+	28.6346i	0.753022	+	1.30427i
$483$	−0.167077	+	0.289385i	−0.00760225	+	0.0131675i
$484$	−69.9985	−	25.4774i	−3.18175	−	1.15806i
$485$	8.35815	+	3.04212i	0.379524	+	0.138136i
$486$	8.40410	−	14.5563i	0.381218	−	0.660288i
$487$	−3.49493	−	6.05339i	−0.158370	−	0.274305i	0.775911	−	0.630843i	$-0.217291\pi$
$487$	−3.49493	−	6.05339i	−0.158370	−	0.274305i	−0.934281	+	0.356537i	$0.883957\pi$
$488$	−8.37622	−	47.5039i	−0.379174	−	2.15040i
$489$	0.623089	+	0.522834i	0.0281771	+	0.0236434i
$490$	−13.5323	+	11.3549i	−0.611325	+	0.512963i
$491$	−5.66765	+	32.1428i	−0.255777	+	1.45059i	0.538292	+	0.842758i	$0.319070\pi$
$491$	−5.66765	+	32.1428i	−0.255777	+	1.45059i	−0.794069	+	0.607827i	$0.792041\pi$
$492$	3.11014	−	1.13200i	0.140216	−	0.0510345i
$493$	−27.2787			−1.22857
$494$	−29.5065	+	13.7031i	−1.32756	+	0.616530i
$495$	−15.2533			−0.685585
$496$	49.9446	−	18.1784i	2.24258	−	0.816232i
$497$	0.581393	−	3.29724i	0.0260790	−	0.147902i
$498$	−2.70552	+	2.27020i	−0.121237	+	0.101730i
$499$	21.2906	+	17.8650i	0.953100	+	0.799746i	0.979817	−	0.199897i	$-0.0640608\pi$
$499$	21.2906	+	17.8650i	0.953100	+	0.799746i	−0.0267168	+	0.999643i	$0.508505\pi$
$500$	0.811369	+	4.60150i	0.0362855	+	0.205785i
$501$	−0.647494	−	1.12149i	−0.0289279	−	0.0501046i
$502$	−3.09927	+	5.36809i	−0.138327	+	0.239590i
$503$	−15.3827	−	5.59886i	−0.685883	−	0.249641i	−0.0245113	−	0.999700i	$-0.507803\pi$
$503$	−15.3827	−	5.59886i	−0.685883	−	0.249641i	−0.661371	+	0.750059i	$0.730025\pi$
$504$	−7.65646	−	2.78672i	−0.341046	−	0.124131i
$505$	−0.672989	+	1.16565i	−0.0299476	+	0.0518708i
$506$	−22.5155	−	38.9979i	−1.00093	−	1.73367i
$507$	0.200087	+	1.13475i	0.00888618	+	0.0503960i
$508$	−2.00861	−	1.68542i	−0.0891175	−	0.0747785i
$509$	−27.2953	+	22.9034i	−1.20984	+	1.01518i	−0.210548	+	0.977584i	$0.567525\pi$
$509$	−27.2953	+	22.9034i	−1.20984	+	1.01518i	−0.999293	+	0.0375938i	$0.988031\pi$
$510$	0.460380	−	2.61095i	0.0203860	−	0.115615i
$511$	−3.74340	+	1.36249i	−0.165598	+	0.0602728i
$512$	−48.2924			−2.13424
$513$	5.24702	+	3.68622i	0.231662	+	0.162751i
$514$	44.4694			1.96146
$515$	−11.6783	+	4.25057i	−0.514609	+	0.187302i
$516$	2.49886	−	14.1717i	0.110006	−	0.623875i
$517$	26.8857	−	22.5598i	1.18243	−	0.992177i
$518$	−0.906869	−	0.760954i	−0.0398455	−	0.0334344i
$519$	−0.193812	−	1.09916i	−0.00850739	−	0.0482478i
$520$	−9.97322	−	17.2741i	−0.437354	−	0.757520i
$521$	−17.4659	+	30.2518i	−0.765194	+	1.32536i	0.174950	+	0.984577i	$0.444024\pi$
$521$	−17.4659	+	30.2518i	−0.765194	+	1.32536i	−0.940144	+	0.340778i	$0.889310\pi$
$522$	46.9632	+	17.0932i	2.05552	+	0.748149i
$523$	12.7730	+	4.64899i	0.558524	+	0.203286i	0.605830	−	0.795594i	$-0.292841\pi$
$523$	12.7730	+	4.64899i	0.558524	+	0.203286i	−0.0473057	+	0.998880i	$0.515064\pi$
$524$	23.0727	−	39.9630i	1.00793	−	1.74579i
$525$	−0.0497470	−	0.0861644i	−0.00217114	−	0.00376052i
$526$	6.58646	+	37.3537i	0.287183	+	1.62870i
$527$	19.8763	+	16.6782i	0.865826	+	0.726515i
$528$	−8.35979	+	7.01470i	−0.363813	+	0.305276i
$529$	−2.03521	+	11.5422i	−0.0884873	+	0.501837i
$530$	−29.8609	+	10.8685i	−1.29707	+	0.472096i
$531$	4.45254			0.193224
$532$	3.46866	−	7.40834i	0.150385	−	0.321192i
$533$	8.26213			0.357872
$534$	−7.53071	+	2.74096i	−0.325886	+	0.118613i
$535$	−2.52870	+	14.3410i	−0.109325	+	0.620014i
$536$	−4.00380	+	3.35959i	−0.172938	+	0.145112i
$537$	0.715727	+	0.600566i	0.0308859	+	0.0259163i
$538$	−10.0713	−	57.1174i	−0.434206	−	2.46251i
$539$	17.7485	+	30.7413i	0.764481	+	1.32412i
$540$	−3.43689	+	5.95286i	−0.147900	+	0.256170i
$541$	7.38859	+	2.68923i	0.317660	+	0.115619i	0.495929	−	0.868363i	$-0.334828\pi$
$541$	7.38859	+	2.68923i	0.317660	+	0.115619i	−0.178269	+	0.983982i	$0.557050\pi$
$542$	−32.2386	−	11.7339i	−1.38476	−	0.504013i
$543$	2.36513	−	4.09653i	0.101498	−	0.175799i
$544$	16.8147	+	29.1239i	0.720924	+	1.24868i
$545$	0.767503	+	4.35272i	0.0328762	+	0.186450i
$546$	0.568854	+	0.477325i	0.0243447	+	0.0204276i
$547$	20.3369	−	17.0647i	0.869544	−	0.729634i	−0.0944579	−	0.995529i	$-0.530112\pi$
$547$	20.3369	−	17.0647i	0.869544	−	0.729634i	0.964002	+	0.265895i	$0.0856673\pi$
$548$	−7.27224	+	41.2429i	−0.310655	+	1.76181i
$549$	−19.2952	+	7.02288i	−0.823500	+	0.299729i
$550$	13.4079			0.571717
$551$	−12.1691	+	25.9907i	−0.518421	+	1.10724i
$552$	−5.74340			−0.244455
$553$	1.20335	−	0.437984i	0.0511717	−	0.0186250i
$554$	1.50681	−	8.54554i	0.0640182	−	0.363065i
$555$	−0.216533	+	0.181693i	−0.00919132	+	0.00771243i
$556$	−47.1284	−	39.5455i	−1.99869	−	1.67710i
$557$	0.661630	+	3.75229i	0.0280342	+	0.158990i	0.995611	−	0.0935867i	$-0.0298332\pi$
$557$	0.661630	+	3.75229i	0.0280342	+	0.158990i	−0.967577	+	0.252576i	$0.918722\pi$
$558$	−23.7684	−	41.1680i	−1.00620	−	1.74278i
$559$	17.9613	−	31.1099i	0.759683	−	1.31581i
$560$	3.20321	+	1.16587i	0.135360	+	0.0492671i
$561$	−5.00618	−	1.82210i	−0.211361	−	0.0769292i
$562$	−25.8601	+	44.7910i	−1.09084	+	1.88939i
$563$	6.08960	+	10.5475i	0.256646	+	0.444524i	0.965341	−	0.260991i	$-0.0840493\pi$
$563$	6.08960	+	10.5475i	0.256646	+	0.444524i	−0.708695	+	0.705515i	$0.750716\pi$
$564$	−1.35902	−	7.70741i	−0.0572252	−	0.324540i
$565$	6.19311	+	5.19663i	0.260546	+	0.218624i
$566$	1.04872	−	0.879981i	0.0440810	−	0.0369884i
$567$	−0.589440	+	3.34288i	−0.0247542	+	0.140388i
$568$	54.0764	−	19.6822i	2.26900	−	0.825847i
$569$	22.8626			0.958451			0.479226	−	0.877692i	$-0.340918\pi$
$569$	22.8626			0.958451			0.479226	+	0.877692i	$0.340918\pi$
$570$	−2.28229	−	1.60339i	−0.0955944	−	0.0671586i
$571$	40.3908			1.69030			0.845152	−	0.534527i	$-0.179510\pi$
$571$	40.3908			1.69030			0.845152	+	0.534527i	$0.179510\pi$
$572$	−65.8503	+	23.9676i	−2.75334	+	1.00213i
$573$	−0.124574	+	0.706496i	−0.00520416	+	0.0295143i
$574$	−2.27259	+	1.90693i	−0.0948560	+	0.0795937i
$575$	2.57278	+	2.15882i	0.107292	+	0.0900290i
$576$	−2.03702	−	11.5525i	−0.0848760	−	0.481355i
$577$	3.93190	+	6.81026i	0.163687	+	0.283515i	0.936188	−	0.351499i	$-0.114328\pi$
$577$	3.93190	+	6.81026i	0.163687	+	0.283515i	−0.772501	+	0.635013i	$0.780995\pi$
$578$	−0.215179	+	0.372700i	−0.00895025	+	0.0155023i
$579$	2.64913	+	0.964204i	0.110094	+	0.0400710i
$580$	−28.9079	−	10.5216i	−1.20033	−	0.436886i
$581$	1.10841	−	1.91982i	0.0459845	−	0.0796475i
$582$	−2.84576	−	4.92901i	−0.117961	−	0.204314i
$583$	11.0882	+	62.8844i	0.459227	+	2.60440i
$584$	−52.4514	−	44.0120i	−2.17045	−	1.82123i
$585$	−6.50437	+	5.45781i	−0.268923	+	0.225653i
$586$	14.1810	−	80.4242i	0.585810	−	3.32229i
$587$	−37.7961	+	13.7566i	−1.56001	+	0.567797i	−0.970739	−	0.240138i	$-0.922807\pi$
$587$	−37.7961	+	13.7566i	−1.56001	+	0.567797i	−0.589271	+	0.807935i	$0.700585\pi$
$588$	7.91555			0.326432
$589$	24.7576	−	11.4976i	1.02012	−	0.473751i
$590$	−3.91387			−0.161131
$591$	−2.36293	+	0.860035i	−0.0971978	+	0.0353771i
$592$	1.68168	−	9.53727i	0.0691166	−	0.391980i
$593$	26.1035	−	21.9034i	1.07194	−	0.899466i	0.0767145	−	0.997053i	$-0.475557\pi$
$593$	26.1035	−	21.9034i	1.07194	−	0.899466i	0.995227	+	0.0975874i	$0.0311125\pi$
$594$	15.1100	+	12.6788i	0.619969	+	0.520216i
$595$	0.288968	+	1.63882i	0.0118465	+	0.0671850i
$596$	19.1189	+	33.1150i	0.783142	+	1.35644i
$597$	−0.362938	+	0.628627i	−0.0148541	+	0.0257280i
$598$	−23.5551	−	8.57334i	−0.963238	−	0.350590i
$599$	−16.8047	−	6.11643i	−0.686623	−	0.249910i	−0.0249346	−	0.999689i	$-0.507938\pi$
$599$	−16.8047	−	6.11643i	−0.686623	−	0.249910i	−0.661689	+	0.749779i	$0.730160\pi$
$600$	0.855047	−	1.48098i	0.0349071	−	0.0604610i
$601$	−0.355966	−	0.616551i	−0.0145201	−	0.0251496i	0.858674	−	0.512522i	$-0.171289\pi$
$601$	−0.355966	−	0.616551i	−0.0145201	−	0.0251496i	−0.873194	+	0.487372i	$0.837955\pi$
$602$	2.23982	+	12.7027i	0.0912884	+	0.517722i
$603$	1.70435	+	1.43012i	0.0694065	+	0.0582389i
$604$	27.2257	−	22.8451i	1.10780	−	0.929553i
$605$	2.76837	−	15.7002i	0.112550	−	0.638305i
$606$	0.809335	−	0.294574i	0.0328770	−	0.0119662i
$607$	−34.3415			−1.39388			−0.696940	−	0.717129i	$-0.745456\pi$
$607$	−34.3415			−1.39388			−0.696940	+	0.717129i	$0.745456\pi$
$608$	35.2498	−	3.02851i	1.42957	−	0.122822i
$609$	0.655057			0.0265443
$610$	16.9609	−	6.17325i	0.686725	−	0.249947i
$611$	3.39253	−	19.2400i	0.137247	−	0.778368i
$612$	43.5803	−	36.5682i	1.76163	−	1.47818i
$613$	22.9647	+	19.2696i	0.927534	+	0.778293i	0.975373	−	0.220562i	$-0.0707890\pi$
$613$	22.9647	+	19.2696i	0.927534	+	0.778293i	−0.0478390	+	0.998855i	$0.515233\pi$
$614$	4.11393	+	23.3313i	0.166025	+	0.941573i
$615$	0.354174	+	0.613447i	0.0142817	+	0.0247366i
$616$	7.19590	−	12.4637i	0.289931	−	0.502175i
$617$	−20.7677	−	7.55883i	−0.836076	−	0.304307i	−0.111726	−	0.993739i	$-0.535638\pi$
$617$	−20.7677	−	7.55883i	−0.836076	−	0.304307i	−0.724350	+	0.689432i	$0.757860\pi$
$618$	7.47283	+	2.71989i	0.300601	+	0.109410i
$619$	−9.72359	+	16.8417i	−0.390824	+	0.676927i	−0.992558	−	0.121769i	$-0.961143\pi$
$619$	−9.72359	+	16.8417i	−0.390824	+	0.676927i	0.601734	+	0.798696i	$0.294477\pi$
$620$	14.6305	+	25.3407i	0.587574	+	1.01771i
$621$	0.857958	+	4.86572i	0.0344287	+	0.195255i
$622$	−47.5918	−	39.9343i	−1.90826	−	1.60122i
$623$	3.85334	−	3.23333i	0.154381	−	0.129541i
$624$	−1.05487	+	5.98246i	−0.0422286	+	0.239490i
$625$	−0.939693	+	0.342020i	−0.0375877	+	0.0136808i
$626$	−6.35337			−0.253932
$627$	−3.96933	+	3.95696i	−0.158520	+	0.158026i
$628$	−58.7117			−2.34285
$629$	4.44261	−	1.61698i	0.177138	−	0.0644731i
$630$	0.529415	−	3.00246i	0.0210924	−	0.119621i
$631$	3.39379	−	2.84773i	0.135105	−	0.113366i	−0.572731	−	0.819743i	$-0.694116\pi$
$631$	3.39379	−	2.84773i	0.135105	−	0.113366i	0.707836	+	0.706377i	$0.249672\pi$
$632$	16.8610	+	14.1480i	0.670694	+	0.562779i
$633$	0.236837	+	1.34317i	0.00941342	+	0.0533862i
$634$	−9.06962	−	15.7090i	−0.360201	−	0.623886i
$635$	0.280584	−	0.485986i	0.0111346	−	0.0192858i
$636$	13.3803	+	4.87005i	0.530565	+	0.193110i
$637$	18.5680	+	6.75818i	0.735689	+	0.267769i
$638$	−44.1382	+	76.4496i	−1.74745	+	3.02667i
$639$	−12.2484	−	21.2148i	−0.484538	−	0.839244i
$640$	−1.02830	−	5.83178i	−0.0406471	−	0.230521i
$641$	19.6593	+	16.4961i	0.776496	+	0.651558i	0.942364	−	0.334590i	$-0.108598\pi$
$641$	19.6593	+	16.4961i	0.776496	+	0.651558i	−0.165867	+	0.986148i	$0.553042\pi$
$642$	7.13814	−	5.98961i	0.281720	−	0.236391i
$643$	6.45413	−	36.6032i	0.254526	−	1.44349i	−0.542761	−	0.839887i	$-0.682621\pi$
$643$	6.45413	−	36.6032i	0.254526	−	1.44349i	0.797287	−	0.603601i	$-0.206268\pi$
$644$	5.92270	−	2.15569i	0.233387	−	0.0849459i
$645$	3.07980			0.121267
$646$	26.6983	+	38.2562i	1.05043	+	1.50517i
$647$	20.6750			0.812819			0.406409	−	0.913691i	$-0.366781\pi$
$647$	20.6750			0.812819			0.406409	+	0.913691i	$0.366781\pi$
$648$	−54.8250	+	19.9547i	−2.15373	+	0.783893i
$649$	−1.36569	+	7.74519i	−0.0536079	+	0.304025i
$650$	5.71746	−	4.79752i	0.224257	−	0.188174i
$651$	−0.477300	−	0.400502i	−0.0187068	−	0.0156969i
$652$	−2.66412	−	15.1090i	−0.104335	−	0.591714i
$653$	−17.0168	−	29.4740i	−0.665919	−	1.15341i	−0.979035	−	0.203691i	$-0.934706\pi$
$653$	−17.0168	−	29.4740i	−0.665919	−	1.15341i	0.313116	−	0.949715i	$-0.398627\pi$
$654$	1.41411	−	2.44931i	0.0552962	−	0.0957758i
$655$	9.28037	+	3.37778i	0.362614	+	0.131981i
$656$	−22.8053	−	8.30043i	−0.890395	−	0.324077i
$657$	−14.5733	+	25.2418i	−0.568560	+	0.984775i
$658$	3.50751	+	6.07519i	0.136737	+	0.236836i
$659$	−5.38526	−	30.5413i	−0.209780	−	1.18972i	−0.889739	−	0.456470i	$-0.849114\pi$
$659$	−5.38526	−	30.5413i	−0.209780	−	1.18972i	0.679959	−	0.733250i	$-0.261998\pi$
$660$	−4.60236	−	3.86184i	−0.179147	−	0.150322i
$661$	−13.9912	+	11.7400i	−0.544195	+	0.456634i	−0.872970	−	0.487775i	$-0.837809\pi$
$661$	−13.9912	+	11.7400i	−0.544195	+	0.456634i	0.328775	+	0.944408i	$0.393364\pi$
$662$	7.80953	−	44.2901i	0.303526	−	1.72138i
$663$	−2.78672	+	1.01428i	−0.108227	+	0.0393915i
$664$	38.1024			1.47866
$665$	1.69034	+	0.455756i	0.0655487	+	0.0176735i
$666$	−8.66163			−0.335631
$667$	−20.7786	+	7.56280i	−0.804552	+	0.292833i
$668$	−4.24154	+	24.0550i	−0.164110	+	0.930715i
$669$	−1.51068	+	1.26761i	−0.0584064	+	0.0490088i
$670$	−1.49815	−	1.25710i	−0.0578788	−	0.0485661i
$671$	−6.29806	−	35.7181i	−0.243134	−	1.37888i
$672$	−0.403779	−	0.699366i	−0.0155761	−	0.0269786i
$673$	−13.0160	+	22.5444i	−0.501731	+	0.869023i	0.498267	+	0.867024i	$0.333970\pi$
$673$	−13.0160	+	22.5444i	−0.501731	+	0.869023i	−0.999998	+	0.00199979i	$0.999363\pi$
$674$	79.3197	+	28.8700i	3.05528	+	1.11203i
$675$	−1.38240	−	0.503151i	−0.0532085	−	0.0193663i
$676$	10.8669	−	18.8221i	0.417958	−	0.723925i
$677$	0.0300638	+	0.0520720i	0.00115545	+	0.00200129i	0.866603	−	0.498999i	$-0.166299\pi$
$677$	0.0300638	+	0.0520720i	0.00115545	+	0.00200129i	−0.865447	+	0.501000i	$0.832966\pi$
$678$	−0.898316	−	5.09460i	−0.0344996	−	0.195657i
$679$	2.73663	+	2.29630i	0.105022	+	0.0881240i
$680$	−21.9107	+	18.3852i	−0.840236	+	0.705042i
$681$	−0.345178	+	1.95760i	−0.0132272	+	0.0750154i
$682$	78.9020	−	28.7180i	3.02131	−	1.09967i
$683$	−31.5145			−1.20587			−0.602935	−	0.797790i	$-0.706002\pi$
$683$	−31.5145			−1.20587			−0.602935	+	0.797790i	$0.706002\pi$
$684$	−15.4003	−	57.8356i	−0.588844	−	2.21140i
$685$	−8.96292			−0.342456
$686$	−13.4915	+	4.91052i	−0.515109	+	0.187484i
$687$	1.21506	−	6.89094i	0.0463574	−	0.262906i
$688$	−80.8313	+	67.8255i	−3.08166	+	2.58582i
$689$	27.2290	+	22.8479i	1.03734	+	0.870435i
$690$	−0.373184	−	2.11643i	−0.0142069	−	0.0805712i
$691$	−4.69765	−	8.13657i	−0.178707	−	0.309530i	0.762731	−	0.646716i	$-0.223858\pi$
$691$	−4.69765	−	8.13657i	−0.178707	−	0.309530i	−0.941438	+	0.337186i	$0.890525\pi$
$692$	−10.5261	+	18.2318i	−0.400143	+	0.693067i
$693$	−5.75687	−	2.09533i	−0.218686	−	0.0795950i
$694$	−17.3057	−	6.29878i	−0.656917	−	0.239098i
$695$	6.58341	−	11.4028i	0.249723	−	0.432533i
$696$	5.62953	+	9.75063i	0.213387	+	0.369597i
$697$	−2.05730	−	11.6676i	−0.0779260	−	0.441940i
$698$	44.9201	+	37.6924i	1.70025	+	1.42668i
$699$	−1.79185	+	1.50354i	−0.0677740	+	0.0568691i
$700$	−0.325878	+	1.84815i	−0.0123170	+	0.0698534i
$701$	6.95262	−	2.53055i	0.262597	−	0.0955775i	−0.207367	−	0.978263i	$-0.566489\pi$
$701$	6.95262	−	2.53055i	0.262597	−	0.0955775i	0.469964	+	0.882686i	$0.344267\pi$
$702$	10.9798			0.414408
$703$	0.441229	−	4.95417i	0.0166413	−	0.186850i
$704$	20.7204			0.780930
$705$	1.57396	−	0.572876i	0.0592789	−	0.0215757i
$706$	−2.01575	+	11.4319i	−0.0758637	+	0.430245i
$707$	−0.414122	+	0.347490i	−0.0155747	+	0.0130687i
$708$	1.34346	+	1.12730i	0.0504903	+	0.0423664i
$709$	−7.51502	−	42.6198i	−0.282233	−	1.60062i	−0.715006	−	0.699118i	$-0.753576\pi$
$709$	−7.51502	−	42.6198i	−0.282233	−	1.60062i	0.432774	−	0.901502i	$-0.357535\pi$
$710$	10.7665	+	18.6482i	0.404061	+	0.699855i
$711$	4.68474	−	8.11420i	0.175691	−	0.304306i
$712$	81.2440	+	29.5704i	3.04475	+	1.10820i
$713$	19.7640	+	7.19350i	0.740167	+	0.269399i
$714$	0.532419	−	0.922176i	0.0199253	−	0.0345116i
$715$	−7.49884	−	12.9884i	−0.280441	−	0.485737i
$716$	−3.06021	−	17.3553i	−0.114366	−	0.648599i
$717$	−2.23784	−	1.87777i	−0.0835738	−	0.0701268i
$718$	20.9446	−	17.5746i	0.781645	−	0.655878i
$719$	5.61767	−	31.8594i	0.209504	−	1.18815i	−0.680690	−	0.732572i	$-0.738320\pi$
$719$	5.61767	−	31.8594i	0.209504	−	1.18815i	0.890193	−	0.455583i	$-0.150569\pi$
$720$	23.4366	−	8.53022i	0.873430	−	0.317902i
$721$	−4.99151			−0.185894
$722$	48.3600	−	8.37154i	1.79977	−	0.311557i
$723$	3.17086			0.117926
$724$	−83.8416	+	30.5158i	−3.11595	+	1.13411i
$725$	1.14328	−	6.48386i	0.0424603	−	0.240805i
$726$	−7.81471	+	6.55732i	−0.290031	+	0.243365i
$727$	38.0516	+	31.9291i	1.41125	+	1.18418i	0.955834	+	0.293907i	$0.0949557\pi$
$727$	38.0516	+	31.9291i	1.41125	+	1.18418i	0.455421	+	0.890276i	$0.349489\pi$
$728$	−1.39114	−	7.88957i	−0.0515592	−	0.292407i
$729$	11.8713	+	20.5616i	0.439677	+	0.761542i
$730$	12.8102	−	22.1880i	0.474128	−	0.821215i
$731$	−48.4051	−	17.6180i	−1.79033	−	0.651625i
$732$	−7.59998	−	2.76617i	−0.280903	−	0.102240i
$733$	−0.684201	+	1.18507i	−0.0252715	+	0.0437716i	−0.878385	−	0.477955i	$-0.841378\pi$
$733$	−0.684201	+	1.18507i	−0.0252715	+	0.0437716i	0.853113	+	0.521726i	$0.174712\pi$
$734$	2.33094	+	4.03730i	0.0860365	+	0.149020i
$735$	0.294173	+	1.66834i	0.0108507	+	0.0615376i
$736$	20.8824	+	17.5224i	0.769734	+	0.645883i
$737$	−3.01045	+	2.52607i	−0.110891	+	0.0930489i
$738$	−3.76917	+	21.3760i	−0.138745	+	0.786863i
$739$	−16.6998	+	6.07823i	−0.614312	+	0.223591i	−0.630389	−	0.776279i	$-0.717105\pi$
$739$	−16.6998	+	6.07823i	−0.614312	+	0.223591i	0.0160769	+	0.999871i	$0.494882\pi$
$740$	5.33161			0.195994
$741$	−0.276771	+	3.10761i	−0.0101674	+	0.114161i
$742$	−12.7630			−0.468545
$743$	−36.2978	+	13.2113i	−1.33164	+	0.484676i	−0.907169	−	0.420766i	$-0.861761\pi$
$743$	−36.2978	+	13.2113i	−1.33164	+	0.484676i	−0.424469	+	0.905443i	$0.639539\pi$
$744$	1.85965	−	10.5466i	0.0681779	−	0.386656i
$745$	−6.26902	+	5.26033i	−0.229679	+	0.192724i
$746$	−25.6526	−	21.5251i	−0.939210	−	0.788091i
$747$	−2.81649	−	15.9731i	−0.103050	−	0.584426i
$748$	50.2434	+	87.0241i	1.83708	+	3.18192i
$749$	−2.92438	+	5.06517i	−0.106854	+	0.185077i
$750$	0.601298	+	0.218855i	0.0219563	+	0.00799144i
$751$	−15.0160	−	5.46539i	−0.547943	−	0.199435i	0.0531894	−	0.998584i	$-0.483061\pi$
$751$	−15.0160	−	5.46539i	−0.547943	−	0.199435i	−0.601132	+	0.799150i	$0.705284\pi$
$752$	−28.6933	+	49.6983i	−1.04634	+	1.81231i
$753$	0.297218	+	0.514797i	0.0108312	+	0.0187603i
$754$	8.53300	+	48.3931i	0.310754	+	1.76237i
$755$	5.82681	+	4.88927i	0.212059	+	0.177939i
$756$	−2.11488	+	1.77460i	−0.0769175	+	0.0645414i
$757$	0.338466	−	1.91954i	0.0123018	−	0.0697668i	−0.978039	−	0.208423i	$-0.933167\pi$
$757$	0.338466	−	1.91954i	0.0123018	−	0.0697668i	0.990341	+	0.138656i	$0.0442782\pi$
$758$	−80.4350	+	29.2759i	−2.92153	+	1.06335i
$759$	−4.31845			−0.156750
$760$	7.74273	+	29.0778i	0.280858	+	1.05476i
$761$	−48.1168			−1.74423			−0.872115	−	0.489300i	$-0.837252\pi$
$761$	−48.1168			−1.74423			−0.872115	+	0.489300i	$0.837252\pi$
$762$	−0.337429	+	0.122814i	−0.0122238	+	0.00444909i
$763$	−0.308260	+	1.74823i	−0.0111597	+	0.0632901i
$764$	10.3657	−	8.69788i	0.375019	−	0.314678i
$765$	9.32700	+	7.82628i	0.337218	+	0.282960i
$766$	9.05780	+	51.3693i	0.327272	+	1.85605i
$767$	2.18896	+	3.79139i	0.0790388	+	0.136899i
$768$	−2.88350	+	4.99437i	−0.104049	+	0.180219i
$769$	6.00593	+	2.18598i	0.216579	+	0.0788284i	0.448031	−	0.894018i	$-0.352125\pi$
$769$	6.00593	+	2.18598i	0.216579	+	0.0788284i	−0.231452	+	0.972846i	$0.574348\pi$
$770$	5.06040	+	1.84184i	0.182364	+	0.0663751i
$771$	2.13230	−	3.69325i	0.0767929	−	0.133009i
$772$	−26.5874	−	46.0507i	−0.956900	−	1.65740i
$773$	−6.20576	−	35.1946i	−0.223206	−	1.26586i	−0.866086	−	0.499895i	$-0.833372\pi$
$773$	−6.20576	−	35.1946i	−0.223206	−	1.26586i	0.642880	−	0.765967i	$-0.277739\pi$
$774$	72.2947	+	60.6624i	2.59858	+	2.18047i
$775$	−4.79727	+	4.02539i	−0.172323	+	0.144596i
$776$	−10.6624	+	60.4694i	−0.382757	+	2.17073i
$777$	−0.106682	+	0.0388292i	−0.00382721	+	0.00139299i
$778$	−5.24072			−0.187889
$779$	−12.0344	−	3.24476i	−0.431177	−	0.116255i
$780$	−3.34437			−0.119748
$781$	40.6599	−	14.7990i	1.45493	−	0.529550i
$782$	−6.24173	+	35.3986i	−0.223204	+	1.26585i
$783$	7.41964	−	6.22582i	0.265156	−	0.222493i
$784$	−44.4620	−	37.3081i	−1.58793	−	1.33243i
$785$	−2.18196	−	12.3745i	−0.0778775	−	0.441665i
$786$	−3.15976	−	5.47286i	−0.112705	−	0.195211i
$787$	−0.970153	+	1.68035i	−0.0345822	+	0.0598982i	−0.882799	−	0.469752i	$-0.844343\pi$
$787$	−0.970153	+	1.68035i	−0.0345822	+	0.0598982i	0.848216	+	0.529650i	$0.177677\pi$
$788$	44.5695	+	16.2220i	1.58772	+	0.577884i
$789$	3.41810	+	1.24409i	0.121687	+	0.0442906i
$790$	−4.11797	+	7.13254i	−0.146511	+	0.253764i
$791$	1.62353	+	2.81204i	0.0577262	+	0.0999848i
$792$	−18.2850	−	103.699i	−0.649728	−	3.68479i
$793$	−15.4660	−	12.9775i	−0.549213	−	0.460845i
$794$	15.8952	−	13.3376i	0.564099	−	0.473335i
$795$	−0.529180	+	3.00113i	−0.0187681	+	0.106439i
$796$	12.8658	−	4.68276i	0.456016	−	0.165976i
$797$	44.3436			1.57073			0.785365	−	0.619033i	$-0.212475\pi$
$797$	44.3436			1.57073			0.785365	+	0.619033i	$0.212475\pi$
$798$	−0.641120	−	0.918663i	−0.0226954	−	0.0325203i
$799$	−28.0150			−0.991099
$800$	−7.62715	+	2.77606i	−0.269661	+	0.0981484i
$801$	6.39090	−	36.2446i	0.225811	−	1.28064i
$802$	−28.4549	+	23.8765i	−1.00478	+	0.843108i
$803$	−39.4381	−	33.0925i	−1.39174	−	1.16781i
$804$	0.152173	+	0.863016i	0.00536673	+	0.0304362i
$805$	0.674459	+	1.16820i	0.0237716	+	0.0411735i
$806$	23.3700	−	40.4781i	0.823175	−	1.42578i
$807$	−5.22660	−	1.90233i	−0.183985	−	0.0669651i
$808$	−8.73139	−	3.17797i	−0.307169	−	0.111800i
$809$	13.9319	−	24.1307i	0.489819	−	0.848392i	−0.510112	−	0.860108i	$-0.670396\pi$
$809$	13.9319	−	24.1307i	0.489819	−	0.848392i	0.999931	+	0.0117160i	$0.00372940\pi$
$810$	−10.9156	−	18.9063i	−0.383534	−	0.664301i
$811$	5.29449	+	30.0265i	0.185915	+	1.05437i	0.924775	+	0.380515i	$0.124253\pi$
$811$	5.29449	+	30.0265i	0.185915	+	1.05437i	−0.738860	+	0.673859i	$0.764636\pi$
$812$	−9.46501	−	7.94209i	−0.332157	−	0.278713i
$813$	−2.52035	+	2.11482i	−0.0883924	+	0.0741700i
$814$	2.65670	−	15.0669i	0.0931173	−	0.528094i
$815$	3.08547	−	1.12302i	0.108079	−	0.0393377i
$816$	8.71095			0.304944
$817$	−38.3797	+	38.2600i	−1.34274	+	1.33855i
$818$	0.624053			0.0218195
$819$	−3.20460	+	1.16638i	−0.111978	+	0.0407566i
$820$	2.32009	−	13.1579i	0.0810210	−	0.459493i
$821$	38.4716	−	32.2815i	1.34267	−	1.12663i	0.361738	−	0.932280i	$-0.382184\pi$
$821$	38.4716	−	32.2815i	1.34267	−	1.12663i	0.980932	−	0.194354i	$-0.0622609\pi$
$822$	4.39347	+	3.68656i	0.153240	+	0.128584i
$823$	7.55147	+	42.8265i	0.263228	+	1.49284i	0.774035	+	0.633143i	$0.218235\pi$
$823$	7.55147	+	42.8265i	0.263228	+	1.49284i	−0.510807	+	0.859695i	$0.670653\pi$
$824$	−42.8968	−	74.2994i	−1.49438	−	2.58834i
$825$	0.642908	−	1.11355i	0.0223832	−	0.0387688i
$826$	−1.47716	−	0.537644i	−0.0513971	−	0.0187070i
$827$	0.559803	+	0.203752i	0.0194663	+	0.00708514i	0.351735	−	0.936100i	$-0.385592\pi$
$827$	0.559803	+	0.203752i	0.0194663	+	0.00708514i	−0.332269	+	0.943185i	$0.607814\pi$
$828$	23.0575	−	39.9368i	0.801304	−	1.38790i
$829$	−9.62397	−	16.6692i	−0.334254	−	0.578946i	0.649087	−	0.760714i	$-0.275151\pi$
$829$	−9.62397	−	16.6692i	−0.334254	−	0.578946i	−0.983341	+	0.181769i	$0.941818\pi$
$830$	2.47575	+	14.0407i	0.0859346	+	0.487359i
$831$	−0.637468	−	0.534900i	−0.0221135	−	0.0185555i
$832$	8.83567	−	7.41401i	0.306322	−	0.257035i
$833$	4.92023	−	27.9040i	0.170476	−	0.966816i
$834$	−7.91719	+	2.88162i	−0.274150	+	0.0997824i
$835$	−5.22764			−0.180910
$836$	105.329	−	9.04937i	3.64287	−	0.312979i
$837$	−9.21270			−0.318438
$838$	55.1213	−	20.0625i	1.90413	−	0.693048i
$839$	−8.84381	+	50.1557i	−0.305322	+	1.73157i	0.316662	+	0.948539i	$0.397438\pi$
$839$	−8.84381	+	50.1557i	−0.305322	+	1.73157i	−0.621984	+	0.783030i	$0.713673\pi$
$840$	0.526151	−	0.441494i	0.0181540	−	0.0152330i
$841$	10.9908	+	9.22242i	0.378995	+	0.318014i
$842$	−11.2026	−	63.5331i	−0.386067	−	2.18949i
$843$	2.47997	+	4.29543i	0.0854147	+	0.147943i
$844$	12.8628	−	22.2791i	0.442757	−	0.766878i
$845$	4.37093	+	1.59089i	0.150365	+	0.0547283i
$846$	48.2307	+	17.5545i	1.65821	+	0.603538i
$847$	3.20156	−	5.54526i	0.110007	−	0.190537i
$848$	−52.2042	−	90.4204i	−1.79270	−	3.10505i
$849$	−0.0227978	−	0.129293i	−0.000782418	−	0.00443731i
$850$	−8.19861	−	6.87945i	−0.281210	−	0.235963i
$851$	2.93571	−	2.46335i	0.100635	−	0.0844426i
$852$	1.67549	−	9.50216i	0.0574013	−	0.325539i
$853$	2.44273	−	0.889082i	0.0836375	−	0.0304416i	−0.299863	−	0.953982i	$-0.596941\pi$
$853$	2.44273	−	0.889082i	0.0836375	−	0.0304416i	0.383500	+	0.923541i	$0.374719\pi$
$854$	7.24935			0.248067
$855$	11.6175	−	5.39528i	0.397311	−	0.184515i
$856$	−100.528			−3.43597
$857$	−37.7972	+	13.7570i	−1.29113	+	0.469932i	−0.894097	−	0.447874i	$-0.852181\pi$
$857$	−37.7972	+	13.7570i	−1.29113	+	0.469932i	−0.397030	+	0.917806i	$0.629959\pi$
$858$	−1.66647	+	9.45104i	−0.0568925	+	0.322653i
$859$	−21.5150	+	18.0532i	−0.734083	+	0.615969i	−0.931241	−	0.364403i	$-0.881273\pi$
$859$	−21.5150	+	18.0532i	−0.734083	+	0.615969i	0.197159	+	0.980372i	$0.436829\pi$
$860$	−44.5005	−	37.3404i	−1.51745	−	1.27330i
$861$	0.0494030	+	0.280179i	0.00168365	+	0.00954846i
$862$	−23.0667	−	39.9527i	−0.785654	−	1.36079i
$863$	14.9698	−	25.9284i	0.509577	−	0.882613i	−0.490362	−	0.871519i	$-0.663135\pi$
$863$	14.9698	−	25.9284i	0.509577	−	0.882613i	0.999938	−	0.0110937i	$-0.00353130\pi$
$864$	−11.2204	−	4.08390i	−0.381727	−	0.138937i
$865$	−4.23385	−	1.54100i	−0.143955	−	0.0523954i
$866$	50.5150	−	87.4946i	1.71657	−	2.97319i
$867$	0.0206355	+	0.0357418i	0.000700819	+	0.00121385i
$868$	2.04078	+	11.5738i	0.0692684	+	0.392841i
$869$	12.6777	+	10.6379i	0.430063	+	0.360866i
$870$	−3.22731	+	2.70803i	−0.109416	+	0.0918109i
$871$	−0.379870	+	2.15435i	−0.0128714	+	0.0729973i
$872$	−28.6718	+	10.4357i	−0.970950	+	0.353397i
$873$	26.1379			0.884633
$874$	30.9427	+	21.7384i	1.04665	+	0.735312i
$875$	−0.401640			−0.0135779
$876$	−10.7879	+	3.92648i	−0.364490	+	0.132664i
$877$	−1.40747	+	7.98213i	−0.0475267	+	0.269537i	−0.999306	−	0.0372458i	$-0.988142\pi$
$877$	−1.40747	+	7.98213i	−0.0475267	+	0.269537i	0.951779	+	0.306783i	$0.0992527\pi$
$878$	37.0721	−	31.1072i	1.25112	−	1.04982i
$879$	−5.99937	−	5.03407i	−0.202354	−	0.169795i
$880$	7.64982	+	43.3843i	0.257876	+	1.46248i
$881$	−4.46598	−	7.73530i	−0.150463	−	0.260609i	0.780935	−	0.624612i	$-0.214743\pi$
$881$	−4.46598	−	7.73530i	−0.150463	−	0.260609i	−0.931398	+	0.364003i	$0.881410\pi$
$882$	−25.9557	+	44.9565i	−0.873973	+	1.51377i
$883$	1.42061	+	0.517061i	0.0478074	+	0.0174005i	0.365813	−	0.930688i	$-0.380791\pi$
$883$	1.42061	+	0.517061i	0.0478074	+	0.0174005i	−0.318006	+	0.948089i	$0.603013\pi$
$884$	52.5632	+	19.1314i	1.76789	+	0.643460i
$885$	−0.187669	+	0.325052i	−0.00630842	+	0.0109265i
$886$	−22.0228	−	38.1446i	−0.739870	−	1.28149i
$887$	4.83393	+	27.4146i	0.162307	+	0.920491i	0.951797	+	0.306728i	$0.0992341\pi$
$887$	4.83393	+	27.4146i	0.162307	+	0.920491i	−0.789490	+	0.613764i	$0.789655\pi$
$888$	−1.49480	−	1.25429i	−0.0501623	−	0.0420912i
$889$	0.172657	−	0.144876i	0.00579072	−	0.00485899i
$890$	−5.61772	+	31.8597i	−0.188306	+	1.06794i
$891$	−41.2228	+	15.0039i	−1.38101	+	0.502648i
$892$	37.1970			1.24545
$893$	−12.4975	+	26.6922i	−0.418214	+	0.893220i
$894$	5.23661			0.175138
$895$	3.54421	−	1.28999i	0.118470	−	0.0431195i
$896$	0.413006	−	2.34228i	0.0137976	−	0.0782499i
$897$	−1.84149	+	1.54519i	−0.0614855	+	0.0515924i
$898$	24.1475	+	20.2622i	0.805813	+	0.676157i
$899$	−7.15966	−	40.6045i	−0.238788	−	1.35423i
$900$	6.86537	+	11.8912i	0.228846	+	0.396372i
$901$	25.4850	−	44.1414i	0.849029	−	1.47056i
$902$	−36.0275	−	13.1129i	−1.19959	−	0.436613i
$903$	1.16237	+	0.423069i	0.0386814	+	0.0140789i
$904$	−27.9051	+	48.3331i	−0.928111	+	1.60754i
$905$	−9.54763	−	16.5370i	−0.317374	−	0.549708i
$906$	−0.845184	−	4.79328i	−0.0280794	−	0.159246i
$907$	24.2585	+	20.3553i	0.805492	+	0.675888i	0.949527	−	0.313685i	$-0.101564\pi$
$907$	24.2585	+	20.3553i	0.805492	+	0.675888i	−0.144036	+	0.989573i	$0.546008\pi$
$908$	28.7220	−	24.1006i	0.953172	−	0.799806i
$909$	−0.686837	+	3.89525i	−0.0227810	+	0.129197i
$910$	2.81690	−	1.02527i	0.0933795	−	0.0339873i
$911$	10.4766			0.347104			0.173552	−	0.984825i	$-0.444476\pi$
$911$	10.4766			0.347104			0.173552	+	0.984825i	$0.444476\pi$
$912$	3.88597	−	8.29963i	0.128677	−	0.274828i
$913$	28.6491			0.948148
$914$	32.5454	−	11.8455i	1.07650	−	0.391816i
$915$	0.300572	−	1.70463i	0.00993661	−	0.0563533i
$916$	−101.104	+	84.8364i	−3.34057	+	2.80307i
$917$	3.03858	+	2.54967i	0.100343	+	0.0841975i
$918$	−2.73403	−	15.5055i	−0.0902364	−	0.511756i
$919$	5.30464	+	9.18791i	0.174984	+	0.303081i	0.940156	−	0.340745i	$-0.110679\pi$
$919$	5.30464	+	9.18791i	0.174984	+	0.303081i	−0.765172	+	0.643826i	$0.777346\pi$
$920$	−11.5925	+	20.0789i	−0.382195	+	0.661980i
$921$	2.13496	+	0.777061i	0.0703492	+	0.0256050i
$922$	34.0221	+	12.3830i	1.12046	+	0.407814i
$923$	12.0431	−	20.8593i	0.396403	−	0.686591i
$924$	−1.20652	−	2.08975i	−0.0396915	−	0.0687477i
$925$	0.198144	+	1.12373i	0.00651492	+	0.0369480i
$926$	51.8001	+	43.4655i	1.70226	+	1.42836i
$927$	−27.9766	+	23.4751i	−0.918871	+	0.771025i
$928$	9.27960	−	52.6272i	0.304618	−	1.72757i
$929$	13.3285	−	4.85116i	0.437293	−	0.159162i	−0.113987	−	0.993482i	$-0.536362\pi$
$929$	13.3285	−	4.85116i	0.437293	−	0.159162i	0.551279	+	0.834321i	$0.314140\pi$
$930$	4.00723			0.131402
$931$	−24.3915	−	17.1359i	−0.799399	−	0.561607i
$932$	44.1200			1.44520
$933$	−5.59862	+	2.03773i	−0.183290	+	0.0667123i
$934$	−17.7574	+	100.707i	−0.581039	+	3.29524i
$935$	−16.4746	+	13.8238i	−0.538777	+	0.452087i
$936$	−44.9019	−	37.6772i	−1.46766	−	1.23152i
$937$	7.73465	+	43.8654i	0.252680	+	1.43302i	0.801958	+	0.597380i	$0.203792\pi$
$937$	7.73465	+	43.8654i	0.252680	+	1.43302i	−0.549278	+	0.835640i	$0.685097\pi$
$938$	−0.392744	−	0.680253i	−0.0128235	−	0.0222110i
$939$	−0.304642	+	0.527656i	−0.00994163	+	0.0172194i
$940$	−29.6881	−	10.8056i	−0.968319	−	0.352439i
$941$	28.5593	+	10.3947i	0.931006	+	0.338859i	0.762608	−	0.646860i	$-0.223918\pi$
$941$	28.5593	+	10.3947i	0.931006	+	0.338859i	0.168398	+	0.985719i	$0.446141\pi$
$942$	−4.02023	+	6.96324i	−0.130986	+	0.226875i
$943$	−4.80181	−	8.31698i	−0.156368	−	0.270838i
$944$	−2.23303	−	12.6642i	−0.0726791	−	0.412183i
$945$	−0.452624	−	0.379797i	−0.0147239	−	0.0123548i
$946$	−127.696	+	107.150i	−4.15177	+	3.48375i
$947$	−5.37877	+	30.5045i	−0.174787	+	0.991264i	0.763603	+	0.645686i	$0.223428\pi$
$947$	−5.37877	+	30.5045i	−0.174787	+	0.991264i	−0.938390	+	0.345578i	$0.887683\pi$
$948$	3.46788	−	1.26220i	0.112631	−	0.0409945i
$949$	−28.6582			−0.930285
$950$	−10.2120	+	4.74255i	−0.331322	+	0.153869i
$951$	−1.73954			−0.0564086
$952$	−10.7950	+	3.92908i	−0.349869	+	0.127342i
$953$	−3.86599	+	21.9251i	−0.125232	+	0.710224i	0.855938	+	0.517078i	$0.172980\pi$
$953$	−3.86599	+	21.9251i	−0.125232	+	0.710224i	−0.981170	+	0.193146i	$0.938131\pi$
$954$	−71.5346	+	60.0247i	−2.31602	+	1.94337i
$955$	2.21846	+	1.86151i	0.0717877	+	0.0602370i
$956$	9.56828	+	54.2644i	0.309460	+	1.75504i
$957$	4.23283	+	7.33148i	0.136828	+	0.236993i
$958$	−4.88059	+	8.45343i	−0.157685	+	0.273118i
$959$	−3.38277	−	1.23123i	−0.109235	−	0.0397584i
$960$	0.929236	+	0.338214i	0.0299910	+	0.0109158i
$961$	−4.10876	+	7.11657i	−0.132540	+	0.229567i
$962$	−4.25823	−	7.37548i	−0.137291	−	0.237795i
$963$	7.43092	+	42.1428i	0.239458	+	1.35803i
$964$	−45.8162	−	38.4444i	−1.47564	−	1.23821i
$965$	8.71788	−	7.31517i	0.280639	−	0.235484i
$966$	0.149886	−	0.850044i	0.00482249	−	0.0273497i
$967$	16.4816	−	5.99883i	0.530014	−	0.192909i	−0.0631307	−	0.998005i	$-0.520108\pi$
$967$	16.4816	−	5.99883i	0.530014	−	0.192909i	0.593145	+	0.805096i	$0.297886\pi$
$968$	110.056			3.53734
$969$	4.45741	−	0.382961i	0.143193	−	0.0123025i
$970$	−22.9757			−0.737705
$971$	15.7599	−	5.73614i	0.505759	−	0.184081i	−0.0765232	−	0.997068i	$-0.524382\pi$
$971$	15.7599	−	5.73614i	0.505759	−	0.184081i	0.582283	+	0.812986i	$0.302160\pi$
$972$	−5.27953	+	29.9417i	−0.169341	+	0.960381i
$973$	4.05109	−	3.39927i	0.129872	−	0.108975i
$974$	13.8314	+	11.6059i	0.443187	+	0.371878i
$975$	−0.124290	−	0.704883i	−0.00398046	−	0.0225743i
$976$	29.6518	+	51.3584i	0.949131	+	1.64394i
$977$	14.3920	−	24.9276i	0.460440	−	0.797506i	−0.538543	−	0.842598i	$-0.681025\pi$
$977$	14.3920	−	24.9276i	0.460440	−	0.797506i	0.998983	+	0.0450925i	$0.0143583\pi$
$978$	−1.97436	−	0.718608i	−0.0631330	−	0.0229785i
$979$	61.0872	+	22.2339i	1.95236	+	0.710599i
$980$	15.9768	−	27.6727i	0.510361	−	0.883972i
$981$	6.49419	+	11.2483i	0.207344	+	0.359130i
$982$	−14.6402	−	83.0287i	−0.467187	−	2.64955i
$983$	−22.9176	−	19.2302i	−0.730959	−	0.613348i	0.199434	−	0.979911i	$-0.436090\pi$
$983$	−22.9176	−	19.2302i	−0.730959	−	0.613348i	−0.930393	+	0.366564i	$0.880534\pi$
$984$	−3.74593	+	3.14321i	−0.119416	+	0.100202i
$985$	−1.76268	+	9.99668i	−0.0561638	+	0.318521i
$986$	66.2147	−	24.1002i	2.10870	−	0.767506i
$987$	0.672737			0.0214135
$988$	41.6766	−	41.5467i	1.32591	−	1.32178i
$989$	−41.7553			−1.32774
$990$	37.0249	−	13.4760i	1.17673	−	0.428294i
$991$	7.97273	−	45.2156i	0.253262	−	1.43632i	−0.547232	−	0.836981i	$-0.684319\pi$
$991$	7.97273	−	45.2156i	0.253262	−	1.43632i	0.800495	−	0.599340i	$-0.204570\pi$
$992$	−38.9377	+	32.6726i	−1.23627	+	1.03736i
$993$	−3.30389	−	2.77229i	−0.104846	−	0.0879760i
$994$	1.50181	+	8.51716i	0.0476344	+	0.270148i
$995$	1.46512	+	2.53766i	0.0464473	+	0.0804492i
$996$	3.19427	−	5.53264i	0.101214	−	0.175308i
$997$	50.6964	+	18.4520i	1.60557	+	0.584380i	0.980557	−	0.196234i	$-0.0628712\pi$
$997$	50.6964	+	18.4520i	1.60557	+	0.584380i	0.625014	+	0.780614i	$0.285093\pi$
$998$	−67.4628	−	24.5545i	−2.13550	−	0.777258i
$999$	−0.839319	+	1.45374i	−0.0265549	+	0.0459944i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	95.2.k.a.81.1	yes	18
3.2	odd	2		855.2.bs.c.271.3		18
5.2	odd	4		475.2.u.b.24.1		36
5.3	odd	4		475.2.u.b.24.6		36
5.4	even	2		475.2.l.c.176.3		18
19.2	odd	18		1805.2.a.s.1.1		9
19.4	even	9	inner	95.2.k.a.61.1	✓	18
19.17	even	9		1805.2.a.v.1.9		9
57.23	odd	18		855.2.bs.c.631.3		18
95.4	even	18		475.2.l.c.251.3		18
95.23	odd	36		475.2.u.b.99.1		36
95.42	odd	36		475.2.u.b.99.6		36
95.59	odd	18		9025.2.a.cf.1.9		9
95.74	even	18		9025.2.a.cc.1.1		9

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.a.61.1	✓	18	19.4	even	9	inner
95.2.k.a.81.1	yes	18	1.1	even	1	trivial
475.2.l.c.176.3		18	5.4	even	2
475.2.l.c.251.3		18	95.4	even	18
475.2.u.b.24.1		36	5.2	odd	4
475.2.u.b.24.6		36	5.3	odd	4
475.2.u.b.99.1		36	95.23	odd	36
475.2.u.b.99.6		36	95.42	odd	36
855.2.bs.c.271.3		18	3.2	odd	2
855.2.bs.c.631.3		18	57.23	odd	18
1805.2.a.s.1.1		9	19.2	odd	18
1805.2.a.v.1.9		9	19.17	even	9
9025.2.a.cc.1.1		9	95.74	even	18
9025.2.a.cf.1.9		9	95.59	odd	18

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:	\( N \)	\(=\)	\( 95 = 5 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	95.k (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-2.42733 + 0.883478i) q^{2} +(-0.0430161 + 0.243956i) q^{3} +(3.57933 - 3.00342i) q^{4} +(0.766044 + 0.642788i) q^{5} +(-0.111115 - 0.630167i) q^{6} +(0.200820 + 0.347830i) q^{7} +(-3.45167 + 5.97847i) q^{8} +(2.76141 + 1.00507i) q^{9} +O(q^{10})\)	\(q+(-2.42733 + 0.883478i) q^{2} +(-0.0430161 + 0.243956i) q^{3} +(3.57933 - 3.00342i) q^{4} +(0.766044 + 0.642788i) q^{5} +(-0.111115 - 0.630167i) q^{6} +(0.200820 + 0.347830i) q^{7} +(-3.45167 + 5.97847i) q^{8} +(2.76141 + 1.00507i) q^{9} +(-2.42733 - 0.883478i) q^{10} +(-2.59530 + 4.49520i) q^{11} +(0.578733 + 1.00240i) q^{12} +(0.501737 + 2.84549i) q^{13} +(-0.794758 - 0.666881i) q^{14} +(-0.189764 + 0.159231i) q^{15} +(1.47378 - 8.35823i) q^{16} +(3.89339 - 1.41708i) q^{17} -7.59083 q^{18} +(0.386682 - 4.34171i) q^{19} +4.67249 q^{20} +(-0.0934938 + 0.0340290i) q^{21} +(2.32827 - 13.2043i) q^{22} +(2.57278 - 2.15882i) q^{23} +(-1.31001 - 1.09923i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-3.73181 - 6.46368i) q^{26} +(-0.735558 + 1.27402i) q^{27} +(1.76348 + 0.641855i) q^{28} +(-6.18683 - 2.25182i) q^{29} +(0.319944 - 0.554160i) q^{30} +(3.13119 + 5.42339i) q^{31} +(1.40944 + 7.99334i) q^{32} +(-0.984992 - 0.826506i) q^{33} +(-8.19861 + 6.87945i) q^{34} +(-0.0697440 + 0.395538i) q^{35} +(12.9027 - 4.69619i) q^{36} +1.14106 q^{37} +(2.89720 + 10.8804i) q^{38} -0.715757 q^{39} +(-6.48702 + 2.36108i) q^{40} +(0.496543 - 2.81603i) q^{41} +(0.196877 - 0.165199i) q^{42} +(-9.52394 - 7.99153i) q^{43} +(4.21150 + 23.8846i) q^{44} +(1.46932 + 2.54493i) q^{45} +(-4.33773 + 7.51317i) q^{46} +(-6.35381 - 2.31260i) q^{47} +(1.97565 + 0.719076i) q^{48} +(3.41934 - 5.92248i) q^{49} +(-1.29156 - 2.23704i) q^{50} +(0.178227 + 1.01077i) q^{51} +(10.3421 + 8.67803i) q^{52} +(9.42382 - 7.90752i) q^{53} +(0.659874 - 3.74233i) q^{54} +(-4.87758 + 1.77529i) q^{55} -2.77266 q^{56} +(1.04255 + 0.281097i) q^{57} +17.0069 q^{58} +(1.42380 - 0.518220i) q^{59} +(-0.200992 + 1.13988i) q^{60} +(-5.35269 + 4.49144i) q^{61} +(-12.3919 - 10.3980i) q^{62} +(0.204952 + 1.16234i) q^{63} +(-1.99595 - 3.45709i) q^{64} +(-1.44469 + 2.50228i) q^{65} +(3.12111 + 1.13599i) q^{66} +(0.711451 + 0.258947i) q^{67} +(9.67967 - 16.7657i) q^{68} +(0.415986 + 0.720510i) q^{69} +(-0.180157 - 1.02172i) q^{70} +(-6.38582 - 5.35834i) q^{71} +(-15.5403 + 13.0399i) q^{72} +(-1.72232 + 9.76776i) q^{73} +(-2.76974 + 1.00810i) q^{74} -0.247720 q^{75} +(-11.6559 - 16.7018i) q^{76} -2.08476 q^{77} +(1.73738 - 0.632356i) q^{78} +(0.553655 - 3.13994i) q^{79} +(6.50155 - 5.45545i) q^{80} +(6.47421 + 5.43251i) q^{81} +(1.28263 + 7.27414i) q^{82} +(-2.75971 - 4.77995i) q^{83} +(-0.232442 + 0.402602i) q^{84} +(3.89339 + 1.41708i) q^{85} +(30.1781 + 10.9839i) q^{86} +(0.815478 - 1.41245i) q^{87} +(-17.9163 - 31.0319i) q^{88} +(-2.17478 - 12.3338i) q^{89} +(-5.81492 - 4.87929i) q^{90} +(-0.888989 + 0.745950i) q^{91} +(2.72500 - 15.4543i) q^{92} +(-1.45776 + 0.530581i) q^{93} +17.4660 q^{94} +(3.08702 - 3.07739i) q^{95} -2.01065 q^{96} +(8.35815 - 3.04212i) q^{97} +(-3.06752 + 17.3967i) q^{98} +(-11.6847 + 9.80464i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9}+O(q^{10}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9	\( 18 q - 3 q^{2} - 3 q^{3} - 3 q^{4} - 6 q^{6} - 6 q^{8} + 3 q^{9} - 3 q^{10} - 18 q^{12} - 3 q^{13} - 12 q^{14} - 3 q^{15} - 3 q^{16} + 24 q^{17} + 48 q^{18} + 12 q^{20} - 21 q^{21} + 9 q^{22} - 9 q^{23} - 15 q^{24} + 3 q^{26} - 24 q^{27} - 12 q^{28} + 15 q^{29} - 12 q^{30} - 18 q^{31} + 15 q^{32} - 33 q^{33} - 12 q^{34} + 75 q^{36} + 36 q^{37} - 33 q^{38} + 36 q^{39} - 6 q^{40} - 30 q^{41} - 9 q^{42} - 36 q^{43} + 42 q^{44} - 6 q^{45} + 9 q^{46} + 21 q^{47} + 33 q^{48} + 9 q^{49} - 6 q^{50} - 45 q^{51} - 39 q^{52} - 12 q^{53} - 66 q^{54} + 3 q^{55} + 72 q^{57} + 12 q^{58} + 18 q^{59} - 3 q^{60} - 30 q^{61} - 24 q^{62} + 54 q^{63} + 36 q^{64} - 9 q^{65} + 39 q^{66} + 51 q^{68} + 15 q^{69} + 33 q^{70} - 12 q^{71} - 66 q^{72} + 24 q^{73} - 15 q^{74} + 18 q^{75} - 33 q^{76} - 60 q^{77} - 48 q^{78} - 51 q^{79} + 15 q^{80} + 27 q^{81} - 15 q^{82} + 48 q^{84} + 24 q^{85} + 63 q^{86} - 15 q^{87} - 27 q^{88} - 54 q^{89} - 9 q^{90} + 30 q^{91} - 42 q^{92} + 72 q^{93} + 30 q^{94} + 15 q^{95} - 66 q^{96} + 27 q^{97} - 3 q^{98} - 93 q^{99}+O(q^{100}) \) 18 * q - 3 * q^2 - 3 * q^3 - 3 * q^4 - 6 * q^6 - 6 * q^8 + 3 * q^9 - 3 * q^10 - 18 * q^12 - 3 * q^13 - 12 * q^14 - 3 * q^15 - 3 * q^16 + 24 * q^17 + 48 * q^18 + 12 * q^20 - 21 * q^21 + 9 * q^22 - 9 * q^23 - 15 * q^24 + 3 * q^26 - 24 * q^27 - 12 * q^28 + 15 * q^29 - 12 * q^30 - 18 * q^31 + 15 * q^32 - 33 * q^33 - 12 * q^34 + 75 * q^36 + 36 * q^37 - 33 * q^38 + 36 * q^39 - 6 * q^40 - 30 * q^41 - 9 * q^42 - 36 * q^43 + 42 * q^44 - 6 * q^45 + 9 * q^46 + 21 * q^47 + 33 * q^48 + 9 * q^49 - 6 * q^50 - 45 * q^51 - 39 * q^52 - 12 * q^53 - 66 * q^54 + 3 * q^55 + 72 * q^57 + 12 * q^58 + 18 * q^59 - 3 * q^60 - 30 * q^61 - 24 * q^62 + 54 * q^63 + 36 * q^64 - 9 * q^65 + 39 * q^66 + 51 * q^68 + 15 * q^69 + 33 * q^70 - 12 * q^71 - 66 * q^72 + 24 * q^73 - 15 * q^74 + 18 * q^75 - 33 * q^76 - 60 * q^77 - 48 * q^78 - 51 * q^79 + 15 * q^80 + 27 * q^81 - 15 * q^82 + 48 * q^84 + 24 * q^85 + 63 * q^86 - 15 * q^87 - 27 * q^88 - 54 * q^89 - 9 * q^90 + 30 * q^91 - 42 * q^92 + 72 * q^93 + 30 * q^94 + 15 * q^95 - 66 * q^96 + 27 * q^97 - 3 * q^98 - 93 * q^99

Introduction

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