LMFDB - Embedded newform 95.2.k.a.61.1

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			61.1
Root			$-0.791558 + 1.37102i$ of defining polynomial
Character	$\chi$	$=$	95.61
Dual form			95.2.k.a.81.1

$q$-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 $\left(\mathbb{Z}/95\mathbb{Z}\right)^\times$.

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

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	−0.718869	−	0.695146i	$-0.755340\pi$
$2$	−2.42733	−	0.883478i	−1.71639	−	0.624713i	−0.997517	+	0.0704330i	$0.977562\pi$
$3$	−0.0430161	−	0.243956i	−0.0248353	−	0.140848i	0.969869	−	0.243628i	$-0.0783375\pi$
$3$	−0.0430161	−	0.243956i	−0.0248353	−	0.140848i	−0.994704	+	0.102780i	$0.967226\pi$
$4$	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	−0.825576	−	0.564291i	$-0.809149\pi$
$7$	0.200820	−	0.347830i	0.0759028	−	0.131468i	0.901479	+	0.432824i	$0.142483\pi$
$8$	−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	−0.930473	−	0.366360i	$-0.880604\pi$
$11$	−2.59530	−	4.49520i	−0.782514	−	1.35535i	0.147959	−	0.988993i	$-0.452730\pi$
$12$	0.578733	−	1.00240i	0.167066	−	0.289367i
$13$	0.501737	−	2.84549i	0.139157	−	0.789197i	−0.832718	−	0.553698i	$-0.813216\pi$
$13$	0.501737	−	2.84549i	0.139157	−	0.789197i	0.971875	−	0.235499i	$-0.0756725\pi$
$14$	−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	0.767857	−	0.640621i	$-0.221323\pi$
$17$	3.89339	+	1.41708i	0.944286	+	0.343692i	0.176429	+	0.984313i	$0.443545\pi$
$18$	−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	0.870326	−	0.492476i	$-0.163908\pi$
$23$	2.57278	+	2.15882i	0.536462	+	0.450145i	−0.333864	+	0.942621i	$0.608353\pi$
$24$	−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	−0.845107	−	0.534597i	$-0.820464\pi$
$29$	−6.18683	+	2.25182i	−1.14887	+	0.418153i	−0.303758	+	0.952749i	$0.598241\pi$
$30$	0.319944	+	0.554160i	0.0584135	+	0.101175i
$31$	3.13119	−	5.42339i	0.562379	−	0.974069i	−0.434909	−	0.900474i	$-0.643220\pi$
$31$	3.13119	−	5.42339i	0.562379	−	0.974069i	0.997288	−	0.0735948i	$-0.0234472\pi$
$32$	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	0.998717	+	0.0506312i	$0.0161233\pi$
$41$	0.496543	+	2.81603i	0.0775469	+	0.439790i	−0.921171	+	0.389159i	$0.872766\pi$
$42$	0.196877	+	0.165199i	0.0303788	+	0.0254908i
$43$	−9.52394	+	7.99153i	−1.45239	+	1.21870i	−0.521572	+	0.853207i	$0.674654\pi$
$43$	−9.52394	+	7.99153i	−1.45239	+	1.21870i	−0.930815	+	0.365491i	$0.880901\pi$
$44$	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	−0.760940	−	0.648822i	$-0.775262\pi$
$47$	−6.35381	+	2.31260i	−0.926798	+	0.337327i	−0.165859	+	0.986150i	$0.553040\pi$
$48$	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	0.991074	+	0.133314i	$0.0425619\pi$
$53$	9.42382	+	7.90752i	1.29446	+	1.08618i	0.303387	+	0.952867i	$0.401883\pi$
$54$	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	0.433034	−	0.901378i	$-0.357443\pi$
$59$	1.42380	+	0.518220i	0.185363	+	0.0674665i	−0.247671	+	0.968844i	$0.579665\pi$
$60$	−0.200992	−	1.13988i	−0.0259480	−	0.147158i
$61$	−5.35269	−	4.49144i	−0.685342	−	0.575070i	0.232220	−	0.972663i	$-0.425401\pi$
$61$	−5.35269	−	4.49144i	−0.685342	−	0.575070i	−0.917562	+	0.397593i	$0.869845\pi$
$62$	−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	−0.298195	−	0.954505i	$-0.596385\pi$
$67$	0.711451	−	0.258947i	0.0869175	−	0.0316354i	0.385113	+	0.922869i	$0.374162\pi$
$68$	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	−0.937568	−	0.347802i	$-0.886928\pi$
$71$	−6.38582	+	5.35834i	−0.757857	+	0.635918i	0.179711	+	0.983719i	$0.442484\pi$
$72$	−15.5403	−	13.0399i	−1.83144	−	1.53676i
$73$	−1.72232	−	9.76776i	−0.201582	−	1.14323i	−0.902728	−	0.430212i	$-0.858439\pi$
$73$	−1.72232	−	9.76776i	−0.201582	−	1.14323i	0.701146	−	0.713018i	$-0.252672\pi$
$74$	−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	0.999983	+	0.00580301i	$0.00184717\pi$
$79$	0.553655	+	3.13994i	0.0622911	+	0.353270i	−0.937692	+	0.347467i	$0.887042\pi$
$80$	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	−0.976795	−	0.214174i	$-0.931294\pi$
$83$	−2.75971	+	4.77995i	−0.302917	+	0.524668i	0.673878	+	0.738842i	$0.264627\pi$
$84$	−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	0.621306	+	0.783568i	$0.286602\pi$
$89$	−2.17478	+	12.3338i	−0.230527	+	1.30738i	−0.851833	+	0.523814i	$0.824509\pi$
$90$	−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	0.729487	−	0.683995i	$-0.239759\pi$
$97$	8.35815	+	3.04212i	0.848642	+	0.308880i	0.119155	+	0.992876i	$0.461981\pi$
$98$	−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	−0.970969	−	0.239206i	$-0.923113\pi$
$101$	0.233727	−	1.32553i	0.0232567	−	0.131895i	0.994226	+	0.107311i	$0.0342240\pi$
$102$	−1.32561	+	2.29603i	−0.131255	+	0.227341i
$103$	−6.21391	−	10.7628i	−0.612275	−	1.06049i	−0.990856	−	0.134923i	$-0.956921\pi$
$103$	−6.21391	−	10.7628i	−0.612275	−	1.06049i	0.378581	−	0.925568i	$-0.376412\pi$
$104$	−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	−0.263200	−	0.964741i	$-0.584778\pi$
$107$	7.28110	−	12.6112i	0.703890	−	1.21917i	0.967091	−	0.254432i	$-0.0818886\pi$
$108$	1.19362	−	6.76934i	0.114856	−	0.651380i
$109$	3.38582	−	2.84104i	0.324303	−	0.272122i	−0.466071	−	0.884747i	$-0.654331\pi$
$109$	3.38582	−	2.84104i	0.324303	−	0.272122i	0.790374	+	0.612625i	$0.209886\pi$
$110$	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	−0.988826	−	0.149075i	$-0.952370\pi$
$127$	−0.0974458	+	0.552642i	−0.00864691	+	0.0490391i	0.980179	+	0.198114i	$0.0634816\pi$
$128$	−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	0.713967	−	0.700180i	$-0.246897\pi$
$131$	9.28037	+	3.37778i	0.810830	+	0.295118i	0.0968634	+	0.995298i	$0.469119\pi$
$132$	−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	0.300506	−	0.953780i	$-0.402845\pi$
$137$	−6.86600	−	5.76126i	−0.586602	−	0.492217i	−0.887108	+	0.461563i	$0.847289\pi$
$138$	−1.64629	+	1.38140i	−0.140142	+	0.117593i
$139$	−2.28639	+	12.9668i	−0.193929	+	1.09983i	0.720006	+	0.693968i	$0.244139\pi$
$139$	−2.28639	+	12.9668i	−0.193929	+	1.09983i	−0.913935	+	0.405860i	$0.866972\pi$
$140$	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	−0.986038	−	0.166520i	$-0.946747\pi$
$149$	−1.42107	−	8.05930i	−0.116419	−	0.660243i	0.869619	−	0.493723i	$-0.164364\pi$
$150$	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	−0.940250	−	0.340484i	$-0.889409\pi$
$157$	−9.62566	+	8.07689i	−0.768212	+	0.644606i	0.172039	+	0.985090i	$0.444965\pi$
$158$	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	0.923131	−	0.384485i	$-0.125621\pi$
$163$	1.64175	+	2.84359i	0.128591	+	0.222727i	−0.794540	+	0.607212i	$0.792288\pi$
$164$	−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	0.474559	−	0.880224i	$-0.342607\pi$
$167$	−4.00460	−	3.36026i	−0.309885	−	0.260025i	−0.784445	+	0.620199i	$0.787052\pi$
$168$	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	0.176019	−	0.984387i	$-0.443678\pi$
$173$	−4.23385	−	1.54100i	−0.321894	−	0.117160i	−0.497913	+	0.867227i	$0.665900\pi$
$174$	−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	0.927856	−	0.372939i	$-0.121650\pi$
$179$	1.88583	+	3.26636i	0.140954	+	0.244139i	−0.786902	+	0.617078i	$0.788316\pi$
$180$	12.9027	−	4.69619i	0.961708	−	0.350033i
$181$	−17.9437	+	6.53096i	−1.33374	+	0.485442i	−0.907836	−	0.419325i	$-0.862267\pi$
$181$	−17.9437	+	6.53096i	−1.33374	+	0.485442i	−0.425906	+	0.904767i	$0.640045\pi$
$182$	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	0.969535	+	0.244952i	$0.0787724\pi$
$193$	1.97618	+	11.2075i	0.142249	+	0.806733i	−0.827286	+	0.561781i	$0.810117\pi$
$194$	−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	−0.626616	−	0.779329i	$-0.715560\pi$
$197$	5.07545	−	8.79093i	0.361610	−	0.626328i	0.988226	+	0.153001i	$0.0488937\pi$
$198$	19.7005	+	34.1223i	1.40006	+	2.42497i
$199$	2.75352	−	1.00220i	0.195192	−	0.0710440i	−0.242575	−	0.970133i	$-0.577992\pi$
$199$	2.75352	−	1.00220i	0.195192	−	0.0710440i	0.437766	+	0.899089i	$0.355770\pi$
$200$	−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	0.513909	−	0.857845i	$-0.328197\pi$
$211$	5.17374	+	1.88309i	0.356175	+	0.129637i	−0.157734	+	0.987482i	$0.550419\pi$
$212$	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	−0.415344	−	0.909664i	$-0.636339\pi$
$223$	6.09836	−	5.11713i	0.408376	−	0.342669i	0.823721	+	0.566996i	$0.191894\pi$
$224$	−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	−0.374331	−	0.927295i	$-0.622128\pi$
$233$	7.23338	−	6.06953i	0.473875	−	0.397628i	0.848206	+	0.529667i	$0.177683\pi$
$234$	−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	0.609858	−	0.792511i	$-0.291226\pi$
$239$	−5.89638	−	10.2128i	−0.381405	−	0.660613i	−0.991263	+	0.131897i	$0.957893\pi$
$240$	1.05122	−	1.82076i	0.0678559	−	0.117530i
$241$	−2.22273	+	12.6057i	−0.143179	+	0.812007i	0.825633	+	0.564208i	$0.190818\pi$
$241$	−2.22273	+	12.6057i	−0.143179	+	0.812007i	−0.968811	+	0.247799i	$0.920293\pi$
$242$	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	0.698956	−	0.715165i	$-0.253648\pi$
$251$	1.83823	+	1.54246i	0.116028	+	0.0973590i	−0.582928	+	0.812524i	$0.698093\pi$
$252$	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	−0.793090	−	0.609105i	$-0.791529\pi$
$257$	−16.1772	+	5.88802i	−1.00911	+	0.367285i	−0.216017	+	0.976390i	$0.569307\pi$
$258$	−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	0.956720	+	0.291009i	$0.0939909\pi$
$263$	2.54981	+	14.4607i	0.157228	+	0.891685i	−0.799492	+	0.600677i	$0.794898\pi$
$264$	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	−0.836807	−	0.547498i	$-0.815580\pi$
$269$	−3.89891	−	22.1118i	−0.237721	−	1.34818i	0.599086	−	0.800685i	$-0.295531\pi$
$270$	2.91102	+	2.44263i	0.177159	+	0.148654i
$271$	10.1742	−	8.53716i	0.618038	−	0.518596i	−0.279148	−	0.960248i	$-0.590052\pi$
$271$	10.1742	−	8.53716i	0.618038	−	0.518596i	0.897186	+	0.441652i	$0.145608\pi$
$272$	−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	0.811144	−	0.584846i	$-0.198845\pi$
$277$	−1.67963	−	2.90921i	−0.100919	−	0.174797i	−0.912064	+	0.410049i	$0.865512\pi$
$278$	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	0.973062	−	0.230544i	$-0.0740504\pi$
$281$	15.3380	+	12.8702i	0.914991	+	0.767769i	−0.0580707	+	0.998312i	$0.518495\pi$
$282$	−0.751316	−	4.26093i	−0.0447402	−	0.253735i
$283$	−0.498021	−	0.181265i	−0.0296043	−	0.0107751i	0.327176	−	0.944964i	$-0.393903\pi$
$283$	−0.498021	−	0.181265i	−0.0296043	−	0.0107751i	−0.356780	+	0.934188i	$0.616125\pi$
$284$	−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	−0.793988	−	0.607934i	$-0.791999\pi$
$293$	−15.8074	−	27.3793i	−0.923480	−	1.59951i	−0.129492	−	0.991580i	$-0.541335\pi$
$294$	−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	0.995928	+	0.0901527i	$0.0287355\pi$
$307$	1.59262	+	9.03222i	0.0908958	+	0.515496i	−0.905032	+	0.425343i	$0.860153\pi$
$308$	−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	−0.292493	−	0.956268i	$-0.594485\pi$
$311$	12.0255	−	20.8288i	0.681906	−	1.18110i	0.974399	−	0.224828i	$-0.0721819\pi$
$312$	2.47056	+	4.27914i	0.139868	+	0.242258i
$313$	2.31124	−	0.841224i	0.130639	−	0.0475488i	−0.275873	−	0.961194i	$-0.588967\pi$
$313$	2.31124	−	0.841224i	0.130639	−	0.0475488i	0.406512	+	0.913645i	$0.366745\pi$
$314$	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	−0.931225	−	0.364446i	$-0.881258\pi$
$317$	1.21940	−	6.91555i	0.0684882	−	0.388416i	0.999713	−	0.0239697i	$-0.00763053\pi$
$318$	−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	0.521212	−	0.853427i	$-0.325480\pi$
$331$	−8.70524	−	15.0779i	−0.478483	−	0.828758i	−0.999696	+	0.0246694i	$0.992147\pi$
$332$	−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	−0.388761	+	0.921339i	$0.627097\pi$
$337$	−25.0326	+	21.0048i	−1.36361	+	1.14420i	−0.974849	+	0.222866i	$0.928459\pi$
$338$	−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	−0.484313	−	0.874895i	$-0.660930\pi$
$347$	5.46153	−	4.58277i	0.293191	−	0.246016i	0.777503	+	0.628879i	$0.216486\pi$
$348$	−1.32331	+	7.50485i	−0.0709368	+	0.402302i
$349$	−11.3504	+	19.6595i	−0.607575	+	1.05235i	0.384064	+	0.923307i	$0.374524\pi$
$349$	−11.3504	+	19.6595i	−0.607575	+	1.05235i	−0.991639	+	0.129044i	$0.958809\pi$
$350$	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	0.919606	−	0.392841i	$-0.128508\pi$
$353$	2.24694	+	3.89182i	0.119593	+	0.207141i	−0.800014	+	0.599982i	$0.795174\pi$
$354$	−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	0.0659357	−	0.997824i	$-0.478997\pi$
$359$	−9.94626	−	3.62014i	−0.524943	−	0.191064i	−0.590879	+	0.806760i	$0.701219\pi$
$360$	−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	−0.991894	−	0.127067i	$-0.959444\pi$
$367$	−0.313391	+	1.77733i	−0.0163589	+	0.0927759i	0.975535	+	0.219843i	$0.0705546\pi$
$368$	−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	−0.647982	−	0.761655i	$-0.724387\pi$
$373$	6.48193	−	11.2270i	0.335622	−	0.581314i	0.983604	+	0.180342i	$0.0577203\pi$
$374$	−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	0.933213	+	0.359324i	$0.116993\pi$
$383$	3.50654	+	19.8866i	0.179176	+	1.01616i	−0.754037	+	0.656832i	$0.771896\pi$
$384$	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	−0.293236	−	0.956040i	$-0.594732\pi$
$389$	1.90648	−	0.693903i	0.0966625	−	0.0351823i	0.389899	+	0.920858i	$0.372510\pi$
$390$	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	0.145578	−	0.989347i	$-0.453496\pi$
$397$	−7.54838	−	2.74738i	−0.378842	−	0.137887i	−0.524420	+	0.851459i	$0.675718\pi$
$398$	−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	0.656611	−	0.754229i	$-0.271989\pi$
$401$	13.5128	+	4.91825i	0.674796	+	0.245606i	0.0181845	+	0.999835i	$0.494211\pi$
$402$	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	−0.347627	−	0.937633i	$-0.613012\pi$
$409$	−0.227020	+	0.0826284i	−0.0112254	+	0.00408571i	0.336401	+	0.941719i	$0.390790\pi$
$410$	−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	−0.887103	−	0.461571i	$-0.847286\pi$
$421$	−4.33685	−	24.5955i	−0.211365	−	1.19871i	0.675738	−	0.737142i	$-0.263825\pi$
$422$	−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	−0.814359	−	0.580362i	$-0.802911\pi$
$431$	3.10128	−	17.5883i	0.149384	−	0.847196i	0.963742	−	0.266835i	$-0.0859777\pi$
$432$	9.56453	−	8.02560i	0.460174	−	0.386132i
$433$	−29.9613	−	25.1405i	−1.43985	−	1.20818i	−0.939591	−	0.342299i	$-0.888794\pi$
$433$	−29.9613	−	25.1405i	−1.43985	−	1.20818i	−0.500257	−	0.865877i	$-0.666761\pi$
$434$	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	−0.114185	−	0.993460i	$-0.536426\pi$
$439$	−17.6050	−	6.40768i	−0.840239	−	0.305822i	−0.726054	+	0.687638i	$0.758648\pi$
$440$	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	−0.830058	−	0.557677i	$-0.811693\pi$
$443$	2.96093	−	16.7923i	0.140678	−	0.797826i	0.970736	−	0.240149i	$-0.0771962\pi$
$444$	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	−0.973321	−	0.229448i	$-0.926308\pi$
$449$	−6.10161	+	10.5683i	−0.287953	+	0.498749i	0.685368	+	0.728197i	$0.259641\pi$
$450$	−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	−0.857621	−	0.514283i	$-0.828058\pi$
$461$	−10.7371	+	9.00946i	−0.500075	+	0.419613i	0.357546	+	0.933896i	$0.383614\pi$
$462$	0.231649	−	1.31374i	0.0107773	−	0.0611209i
$463$	−13.0889	+	22.6706i	−0.608292	+	1.05359i	0.383230	+	0.923653i	$0.374812\pi$
$463$	−13.0889	+	22.6706i	−0.608292	+	1.05359i	−0.991522	+	0.129940i	$0.958522\pi$
$464$	−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	0.805490	+	0.592609i	$0.201902\pi$
$467$	19.7941	+	34.2843i	0.915960	+	1.58649i	0.110470	+	0.993879i	$0.464764\pi$
$468$	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	0.706520	−	0.707693i	$-0.250264\pi$
$479$	2.89476	+	2.42899i	0.132265	+	0.110983i	−0.574255	+	0.818676i	$0.694708\pi$
$480$	−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	−0.934281	−	0.356537i	$-0.883957\pi$
$487$	−3.49493	+	6.05339i	−0.158370	+	0.274305i	0.775911	+	0.630843i	$0.217291\pi$
$488$	−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	−0.794069	−	0.607827i	$-0.792041\pi$
$491$	−5.66765	−	32.1428i	−0.255777	−	1.45059i	0.538292	−	0.842758i	$-0.319070\pi$
$492$	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	−0.0267168	−	0.999643i	$-0.508505\pi$
$499$	21.2906	−	17.8650i	0.953100	−	0.799746i	0.979817	+	0.199897i	$0.0640608\pi$
$500$	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	−0.661371	−	0.750059i	$-0.730025\pi$
$503$	−15.3827	+	5.59886i	−0.685883	+	0.249641i	−0.0245113	+	0.999700i	$0.507803\pi$
$504$	−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	−0.999293	−	0.0375938i	$-0.988031\pi$
$509$	−27.2953	−	22.9034i	−1.20984	−	1.01518i	−0.210548	−	0.977584i	$-0.567525\pi$
$510$	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	−0.940144	−	0.340778i	$-0.889310\pi$
$521$	−17.4659	−	30.2518i	−0.765194	−	1.32536i	0.174950	−	0.984577i	$-0.444024\pi$
$522$	46.9632	−	17.0932i	2.05552	−	0.748149i
$523$	12.7730	−	4.64899i	0.558524	−	0.203286i	−0.0473057	−	0.998880i	$-0.515064\pi$
$523$	12.7730	−	4.64899i	0.558524	−	0.203286i	0.605830	+	0.795594i	$0.292841\pi$
$524$	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	−0.178269	−	0.983982i	$-0.557050\pi$
$541$	7.38859	−	2.68923i	0.317660	−	0.115619i	0.495929	+	0.868363i	$0.334828\pi$
$542$	−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	0.964002	−	0.265895i	$-0.0856673\pi$
$547$	20.3369	+	17.0647i	0.869544	+	0.729634i	−0.0944579	+	0.995529i	$0.530112\pi$
$548$	−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	−0.967577	−	0.252576i	$-0.918722\pi$
$557$	0.661630	−	3.75229i	0.0280342	−	0.158990i	0.995611	+	0.0935867i	$0.0298332\pi$
$558$	−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	−0.708695	−	0.705515i	$-0.750716\pi$
$563$	6.08960	−	10.5475i	0.256646	−	0.444524i	0.965341	+	0.260991i	$0.0840493\pi$
$564$	−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	−0.772501	−	0.635013i	$-0.780995\pi$
$577$	3.93190	−	6.81026i	0.163687	−	0.283515i	0.936188	+	0.351499i	$0.114328\pi$
$578$	−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	−0.589271	−	0.807935i	$-0.700585\pi$
$587$	−37.7961	−	13.7566i	−1.56001	−	0.567797i	−0.970739	+	0.240138i	$0.922807\pi$
$588$	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	0.995227	−	0.0975874i	$-0.0311125\pi$
$593$	26.1035	+	21.9034i	1.07194	+	0.899466i	0.0767145	+	0.997053i	$0.475557\pi$
$594$	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	−0.661689	−	0.749779i	$-0.730160\pi$
$599$	−16.8047	+	6.11643i	−0.686623	+	0.249910i	−0.0249346	+	0.999689i	$0.507938\pi$
$600$	0.855047	+	1.48098i	0.0349071	+	0.0604610i
$601$	−0.355966	+	0.616551i	−0.0145201	+	0.0251496i	−0.873194	−	0.487372i	$-0.837955\pi$
$601$	−0.355966	+	0.616551i	−0.0145201	+	0.0251496i	0.858674	+	0.512522i	$0.171289\pi$
$602$	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	−0.0478390	−	0.998855i	$-0.515233\pi$
$613$	22.9647	−	19.2696i	0.927534	−	0.778293i	0.975373	+	0.220562i	$0.0707890\pi$
$614$	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	−0.724350	−	0.689432i	$-0.757860\pi$
$617$	−20.7677	+	7.55883i	−0.836076	+	0.304307i	−0.111726	+	0.993739i	$0.535638\pi$
$618$	7.47283	−	2.71989i	0.300601	−	0.109410i
$619$	−9.72359	−	16.8417i	−0.390824	−	0.676927i	0.601734	−	0.798696i	$-0.294477\pi$
$619$	−9.72359	−	16.8417i	−0.390824	−	0.676927i	−0.992558	+	0.121769i	$0.961143\pi$
$620$	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	0.707836	−	0.706377i	$-0.249672\pi$
$631$	3.39379	+	2.84773i	0.135105	+	0.113366i	−0.572731	+	0.819743i	$0.694116\pi$
$632$	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	−0.165867	−	0.986148i	$-0.553042\pi$
$641$	19.6593	−	16.4961i	0.776496	−	0.651558i	0.942364	+	0.334590i	$0.108598\pi$
$642$	7.13814	+	5.98961i	0.281720	+	0.236391i
$643$	6.45413	+	36.6032i	0.254526	+	1.44349i	0.797287	+	0.603601i	$0.206268\pi$
$643$	6.45413	+	36.6032i	0.254526	+	1.44349i	−0.542761	+	0.839887i	$0.682621\pi$
$644$	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	0.313116	+	0.949715i	$0.398627\pi$
$653$	−17.0168	+	29.4740i	−0.665919	+	1.15341i	−0.979035	+	0.203691i	$0.934706\pi$
$654$	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	0.679959	+	0.733250i	$0.261998\pi$
$659$	−5.38526	+	30.5413i	−0.209780	+	1.18972i	−0.889739	+	0.456470i	$0.849114\pi$
$660$	−4.60236	+	3.86184i	−0.179147	+	0.150322i
$661$	−13.9912	−	11.7400i	−0.544195	−	0.456634i	0.328775	−	0.944408i	$-0.393364\pi$
$661$	−13.9912	−	11.7400i	−0.544195	−	0.456634i	−0.872970	+	0.487775i	$0.837809\pi$
$662$	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	−0.999998	−	0.00199979i	$-0.999363\pi$
$673$	−13.0160	−	22.5444i	−0.501731	−	0.869023i	0.498267	−	0.867024i	$-0.333970\pi$
$674$	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	−0.865447	−	0.501000i	$-0.832966\pi$
$677$	0.0300638	−	0.0520720i	0.00115545	−	0.00200129i	0.866603	+	0.498999i	$0.166299\pi$
$678$	−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	−0.941438	−	0.337186i	$-0.890525\pi$
$691$	−4.69765	+	8.13657i	−0.178707	+	0.309530i	0.762731	+	0.646716i	$0.223858\pi$
$692$	−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	0.469964	−	0.882686i	$-0.344267\pi$
$701$	6.95262	+	2.53055i	0.262597	+	0.0955775i	−0.207367	+	0.978263i	$0.566489\pi$
$702$	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	0.432774	+	0.901502i	$0.357535\pi$
$709$	−7.51502	+	42.6198i	−0.282233	+	1.60062i	−0.715006	+	0.699118i	$0.753576\pi$
$710$	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	0.890193	+	0.455583i	$0.150569\pi$
$719$	5.61767	+	31.8594i	0.209504	+	1.18815i	−0.680690	+	0.732572i	$0.738320\pi$
$720$	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	0.455421	−	0.890276i	$-0.349489\pi$
$727$	38.0516	−	31.9291i	1.41125	−	1.18418i	0.955834	−	0.293907i	$-0.0949557\pi$
$728$	−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	0.853113	−	0.521726i	$-0.174712\pi$
$733$	−0.684201	−	1.18507i	−0.0252715	−	0.0437716i	−0.878385	+	0.477955i	$0.841378\pi$
$734$	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	0.0160769	−	0.999871i	$-0.494882\pi$
$739$	−16.6998	−	6.07823i	−0.614312	−	0.223591i	−0.630389	+	0.776279i	$0.717105\pi$
$740$	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	−0.424469	−	0.905443i	$-0.639539\pi$
$743$	−36.2978	−	13.2113i	−1.33164	−	0.484676i	−0.907169	+	0.420766i	$0.861761\pi$
$744$	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	−0.601132	−	0.799150i	$-0.705284\pi$
$751$	−15.0160	+	5.46539i	−0.547943	+	0.199435i	0.0531894	+	0.998584i	$0.483061\pi$
$752$	−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	0.990341	−	0.138656i	$-0.0442782\pi$
$757$	0.338466	+	1.91954i	0.0123018	+	0.0697668i	−0.978039	+	0.208423i	$0.933167\pi$
$758$	−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	−0.231452	−	0.972846i	$-0.574348\pi$
$769$	6.00593	−	2.18598i	0.216579	−	0.0788284i	0.448031	+	0.894018i	$0.352125\pi$
$770$	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	0.642880	+	0.765967i	$0.277739\pi$
$773$	−6.20576	+	35.1946i	−0.223206	+	1.26586i	−0.866086	+	0.499895i	$0.833372\pi$
$774$	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	0.848216	−	0.529650i	$-0.177677\pi$
$787$	−0.970153	−	1.68035i	−0.0345822	−	0.0598982i	−0.882799	+	0.469752i	$0.844343\pi$
$788$	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	0.999931	−	0.0117160i	$-0.00372940\pi$
$809$	13.9319	+	24.1307i	0.489819	+	0.848392i	−0.510112	+	0.860108i	$0.670396\pi$
$810$	−10.9156	+	18.9063i	−0.383534	+	0.664301i
$811$	5.29449	−	30.0265i	0.185915	−	1.05437i	−0.738860	−	0.673859i	$-0.764636\pi$
$811$	5.29449	−	30.0265i	0.185915	−	1.05437i	0.924775	−	0.380515i	$-0.124253\pi$
$812$	−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	0.980932	+	0.194354i	$0.0622609\pi$
$821$	38.4716	+	32.2815i	1.34267	+	1.12663i	0.361738	+	0.932280i	$0.382184\pi$
$822$	4.39347	−	3.68656i	0.153240	−	0.128584i
$823$	7.55147	−	42.8265i	0.263228	−	1.49284i	−0.510807	−	0.859695i	$-0.670653\pi$
$823$	7.55147	−	42.8265i	0.263228	−	1.49284i	0.774035	−	0.633143i	$-0.218235\pi$
$824$	−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	−0.332269	−	0.943185i	$-0.607814\pi$
$827$	0.559803	−	0.203752i	0.0194663	−	0.00708514i	0.351735	+	0.936100i	$0.385592\pi$
$828$	23.0575	+	39.9368i	0.801304	+	1.38790i
$829$	−9.62397	+	16.6692i	−0.334254	+	0.578946i	−0.983341	−	0.181769i	$-0.941818\pi$
$829$	−9.62397	+	16.6692i	−0.334254	+	0.578946i	0.649087	+	0.760714i	$0.275151\pi$
$830$	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	−0.621984	−	0.783030i	$-0.713673\pi$
$839$	−8.84381	−	50.1557i	−0.305322	−	1.73157i	0.316662	−	0.948539i	$-0.397438\pi$
$840$	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	0.383500	−	0.923541i	$-0.374719\pi$
$853$	2.44273	+	0.889082i	0.0836375	+	0.0304416i	−0.299863	+	0.953982i	$0.596941\pi$
$854$	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	−0.397030	−	0.917806i	$-0.629959\pi$
$857$	−37.7972	−	13.7570i	−1.29113	−	0.469932i	−0.894097	+	0.447874i	$0.852181\pi$
$858$	−1.66647	−	9.45104i	−0.0568925	−	0.322653i
$859$	−21.5150	−	18.0532i	−0.734083	−	0.615969i	0.197159	−	0.980372i	$-0.436829\pi$
$859$	−21.5150	−	18.0532i	−0.734083	−	0.615969i	−0.931241	+	0.364403i	$0.881273\pi$
$860$	−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	0.999938	+	0.0110937i	$0.00353130\pi$
$863$	14.9698	+	25.9284i	0.509577	+	0.882613i	−0.490362	+	0.871519i	$0.663135\pi$
$864$	−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	0.951779	−	0.306783i	$-0.0992527\pi$
$877$	−1.40747	−	7.98213i	−0.0475267	−	0.269537i	−0.999306	+	0.0372458i	$0.988142\pi$
$878$	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	−0.931398	−	0.364003i	$-0.881410\pi$
$881$	−4.46598	+	7.73530i	−0.150463	+	0.260609i	0.780935	+	0.624612i	$0.214743\pi$
$882$	−25.9557	−	44.9565i	−0.873973	−	1.51377i
$883$	1.42061	−	0.517061i	0.0478074	−	0.0174005i	−0.318006	−	0.948089i	$-0.603013\pi$
$883$	1.42061	−	0.517061i	0.0478074	−	0.0174005i	0.365813	+	0.930688i	$0.380791\pi$
$884$	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	−0.789490	−	0.613764i	$-0.789655\pi$
$887$	4.83393	−	27.4146i	0.162307	−	0.920491i	0.951797	−	0.306728i	$-0.0992341\pi$
$888$	−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	−0.144036	−	0.989573i	$-0.546008\pi$
$907$	24.2585	−	20.3553i	0.805492	−	0.675888i	0.949527	+	0.313685i	$0.101564\pi$
$908$	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	−0.765172	−	0.643826i	$-0.777346\pi$
$919$	5.30464	−	9.18791i	0.174984	−	0.303081i	0.940156	+	0.340745i	$0.110679\pi$
$920$	−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	0.551279	−	0.834321i	$-0.314140\pi$
$929$	13.3285	+	4.85116i	0.437293	+	0.159162i	−0.113987	+	0.993482i	$0.536362\pi$
$930$	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	−0.549278	−	0.835640i	$-0.685097\pi$
$937$	7.73465	−	43.8654i	0.252680	−	1.43302i	0.801958	−	0.597380i	$-0.203792\pi$
$938$	−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	0.168398	−	0.985719i	$-0.446141\pi$
$941$	28.5593	−	10.3947i	0.931006	−	0.338859i	0.762608	+	0.646860i	$0.223918\pi$
$942$	−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	−0.938390	−	0.345578i	$-0.887683\pi$
$947$	−5.37877	−	30.5045i	−0.174787	−	0.991264i	0.763603	−	0.645686i	$-0.223428\pi$
$948$	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	−0.981170	−	0.193146i	$-0.938131\pi$
$953$	−3.86599	−	21.9251i	−0.125232	−	0.710224i	0.855938	−	0.517078i	$-0.172980\pi$
$954$	−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	0.593145	−	0.805096i	$-0.297886\pi$
$967$	16.4816	+	5.99883i	0.530014	+	0.192909i	−0.0631307	+	0.998005i	$0.520108\pi$
$968$	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	0.582283	−	0.812986i	$-0.302160\pi$
$971$	15.7599	+	5.73614i	0.505759	+	0.184081i	−0.0765232	+	0.997068i	$0.524382\pi$
$972$	−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	0.998983	−	0.0450925i	$-0.0143583\pi$
$977$	14.3920	+	24.9276i	0.460440	+	0.797506i	−0.538543	+	0.842598i	$0.681025\pi$
$978$	−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	−0.930393	−	0.366564i	$-0.880534\pi$
$983$	−22.9176	+	19.2302i	−0.730959	+	0.613348i	0.199434	+	0.979911i	$0.436090\pi$
$984$	−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	0.800495	+	0.599340i	$0.204570\pi$
$991$	7.97273	+	45.2156i	0.253262	+	1.43632i	−0.547232	+	0.836981i	$0.684319\pi$
$992$	−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	0.625014	−	0.780614i	$-0.285093\pi$
$997$	50.6964	−	18.4520i	1.60557	−	0.584380i	0.980557	+	0.196234i	$0.0628712\pi$
$998$	−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.61.1	✓	18
3.2	odd	2		855.2.bs.c.631.3		18
5.2	odd	4		475.2.u.b.99.6		36
5.3	odd	4		475.2.u.b.99.1		36
5.4	even	2		475.2.l.c.251.3		18
19.5	even	9	inner	95.2.k.a.81.1	yes	18
19.9	even	9		1805.2.a.v.1.9		9
19.10	odd	18		1805.2.a.s.1.1		9
57.5	odd	18		855.2.bs.c.271.3		18
95.9	even	18		9025.2.a.cc.1.1		9
95.24	even	18		475.2.l.c.176.3		18
95.29	odd	18		9025.2.a.cf.1.9		9
95.43	odd	36		475.2.u.b.24.6		36
95.62	odd	36		475.2.u.b.24.1		36

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
95.2.k.a.61.1	✓	18	1.1	even	1	trivial
95.2.k.a.81.1	yes	18	19.5	even	9	inner
475.2.l.c.176.3		18	95.24	even	18
475.2.l.c.251.3		18	5.4	even	2
475.2.u.b.24.1		36	95.62	odd	36
475.2.u.b.24.6		36	95.43	odd	36
475.2.u.b.99.1		36	5.3	odd	4
475.2.u.b.99.6		36	5.2	odd	4
855.2.bs.c.271.3		18	57.5	odd	18
855.2.bs.c.631.3		18	3.2	odd	2
1805.2.a.s.1.1		9	19.10	odd	18
1805.2.a.v.1.9		9	19.9	even	9
9025.2.a.cc.1.1		9	95.9	even	18
9025.2.a.cf.1.9		9	95.29	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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