LMFDB - Embedded newform 133.2.bf.a.33.3

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [133,2,Mod(10,133)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(133, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([3, 17]))

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

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

chi := DirichletCharacter("133.10");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 133 = 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	133.bf (of order $18$, 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:	$1.06201034688$
Analytic rank:	$0$
Dimension:	$66$
Relative dimension:	$11$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			33.3
Character	$\chi$	$=$	133.33
Dual form			133.2.bf.a.129.3

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.84540 - 0.325394i) q^{2} +(-2.57736 + 0.938083i) q^{3} +(1.42023 + 0.516922i) q^{4} +(-0.854536 - 2.34782i) q^{5} +(5.06151 - 0.892480i) q^{6} +(-1.55266 + 2.14225i) q^{7} +(0.792944 + 0.457807i) q^{8} +(3.46466 - 2.90719i) q^{9} +O(q^{10})$	\(q+(-1.84540 - 0.325394i) q^{2} +(-2.57736 + 0.938083i) q^{3} +(1.42023 + 0.516922i) q^{4} +(-0.854536 - 2.34782i) q^{5} +(5.06151 - 0.892480i) q^{6} +(-1.55266 + 2.14225i) q^{7} +(0.792944 + 0.457807i) q^{8} +(3.46466 - 2.90719i) q^{9} +(0.812995 + 4.61072i) q^{10} +5.95494 q^{11} -4.14536 q^{12} +(0.144307 + 0.818407i) q^{13} +(3.56236 - 3.44808i) q^{14} +(4.40490 + 5.24955i) q^{15} +(-3.62990 - 3.04584i) q^{16} +(2.15947 - 2.57355i) q^{17} +(-7.33966 + 4.23756i) q^{18} +(1.39034 + 4.13122i) q^{19} -3.77617i q^{20} +(1.99216 - 6.97788i) q^{21} +(-10.9892 - 1.93770i) q^{22} +(-0.293617 - 1.66519i) q^{23} +(-2.47317 - 0.436086i) q^{24} +(-0.951798 + 0.798653i) q^{25} -1.55724i q^{26} +(-2.08834 + 3.61710i) q^{27} +(-3.31251 + 2.23989i) q^{28} +(-1.44808 + 3.97856i) q^{29} +(-6.42062 - 11.1208i) q^{30} +(1.44184 - 2.49735i) q^{31} +(4.53042 + 5.39914i) q^{32} +(-15.3480 + 5.58623i) q^{33} +(-4.82250 + 4.04655i) q^{34} +(6.35642 + 1.81474i) q^{35} +(6.42341 - 2.33793i) q^{36} +(5.74728 + 3.31819i) q^{37} +(-1.22147 - 8.07615i) q^{38} +(-1.13967 - 1.97396i) q^{39} +(0.397247 - 2.25290i) q^{40} +(-0.0114298 + 0.0648215i) q^{41} +(-5.94689 + 12.2287i) q^{42} +(8.34767 + 7.00453i) q^{43} +(8.45739 + 3.07824i) q^{44} +(-9.78624 - 5.65009i) q^{45} +3.16848i q^{46} +(-1.20091 - 1.43119i) q^{47} +(12.2128 + 4.44510i) q^{48} +(-2.17848 - 6.65238i) q^{49} +(2.01632 - 1.16412i) q^{50} +(-3.15152 + 8.65874i) q^{51} +(-0.218103 + 1.23692i) q^{52} +(3.10913 - 8.54226i) q^{53} +(5.03079 - 5.99547i) q^{54} +(-5.08871 - 13.9811i) q^{55} +(-2.21191 + 0.987867i) q^{56} +(-7.45884 - 9.34338i) q^{57} +(3.96688 - 6.87084i) q^{58} +(3.97141 + 3.33241i) q^{59} +(3.54236 + 9.73256i) q^{60} +(8.30925 - 1.46514i) q^{61} +(-3.47340 + 4.13944i) q^{62} +(0.848495 + 11.9361i) q^{63} +(-1.86509 - 3.23043i) q^{64} +(1.79816 - 1.03817i) q^{65} +(30.1410 - 5.31467i) q^{66} +(-0.678216 + 0.119588i) q^{67} +(4.39727 - 2.53876i) q^{68} +(2.31884 + 4.01635i) q^{69} +(-11.1396 - 5.41726i) q^{70} +(5.06930 - 6.04136i) q^{71} +(4.07822 - 0.719100i) q^{72} +(3.52159 + 9.67549i) q^{73} +(-9.52630 - 7.99351i) q^{74} +(1.70392 - 2.95128i) q^{75} +(-0.160907 + 6.58598i) q^{76} +(-9.24602 + 12.7570i) q^{77} +(1.46082 + 4.01358i) q^{78} +(-6.71483 + 8.00242i) q^{79} +(-4.04921 + 11.1251i) q^{80} +(-0.366871 + 2.08063i) q^{81} +(0.0421850 - 0.115902i) q^{82} +(-8.03504 + 4.63903i) q^{83} +(6.43635 - 8.88041i) q^{84} +(-7.88758 - 2.87084i) q^{85} +(-13.1256 - 15.6424i) q^{86} -11.6126i q^{87} +(4.72194 + 2.72621i) q^{88} +(-1.71992 - 0.626000i) q^{89} +(16.2210 + 13.6110i) q^{90} +(-1.97729 - 0.961568i) q^{91} +(0.443767 - 2.51673i) q^{92} +(-1.37344 + 7.78914i) q^{93} +(1.75046 + 3.03188i) q^{94} +(8.51125 - 6.79455i) q^{95} +(-16.7414 - 9.66563i) q^{96} +(8.16455 - 2.97165i) q^{97} +(1.85552 + 12.9852i) q^{98} +(20.6319 - 17.3122i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9}+O(q^{10}) $ 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9} - 9 q^{10} - 12 q^{11} + 6 q^{12} - 30 q^{13} - 15 q^{14} + 9 q^{15} - 15 q^{16} + 18 q^{17} + 36 q^{18} + 12 q^{19} - 30 q^{21} - 3 q^{23} - 36 q^{24} - 27 q^{25} + 12 q^{27} - 33 q^{28} - 6 q^{29} + 3 q^{30} - 9 q^{31} + 60 q^{32} - 9 q^{33} - 36 q^{34} + 9 q^{35} + 27 q^{36} - 36 q^{37} + 18 q^{38} + 12 q^{39} + 9 q^{40} + 54 q^{41} - 9 q^{42} + 12 q^{43} + 18 q^{44} - 27 q^{45} + 45 q^{47} + 63 q^{48} - 45 q^{49} - 63 q^{50} - 3 q^{51} + 57 q^{52} + 27 q^{53} - 9 q^{54} - 45 q^{55} - 54 q^{56} - 54 q^{57} + 30 q^{58} + 36 q^{59} - 78 q^{60} - 42 q^{61} - 45 q^{62} + 57 q^{63} - 36 q^{64} + 45 q^{65} + 9 q^{66} + 30 q^{67} - 9 q^{68} + 69 q^{70} - 6 q^{71} - 6 q^{72} + 60 q^{73} + 9 q^{74} - 21 q^{75} + 54 q^{76} - 18 q^{77} + 3 q^{78} + 27 q^{79} - 45 q^{80} + 24 q^{81} - 9 q^{82} + 36 q^{83} + 99 q^{84} - 48 q^{85} - 48 q^{86} - 9 q^{88} - 9 q^{89} - 18 q^{90} + 24 q^{91} + 48 q^{92} - 3 q^{93} + 90 q^{94} - 75 q^{95} + 63 q^{96} - 27 q^{97} + 96 q^{98} + 48 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9 - 9 * q^10 - 12 * q^11 + 6 * q^12 - 30 * q^13 - 15 * q^14 + 9 * q^15 - 15 * q^16 + 18 * q^17 + 36 * q^18 + 12 * q^19 - 30 * q^21 - 3 * q^23 - 36 * q^24 - 27 * q^25 + 12 * q^27 - 33 * q^28 - 6 * q^29 + 3 * q^30 - 9 * q^31 + 60 * q^32 - 9 * q^33 - 36 * q^34 + 9 * q^35 + 27 * q^36 - 36 * q^37 + 18 * q^38 + 12 * q^39 + 9 * q^40 + 54 * q^41 - 9 * q^42 + 12 * q^43 + 18 * q^44 - 27 * q^45 + 45 * q^47 + 63 * q^48 - 45 * q^49 - 63 * q^50 - 3 * q^51 + 57 * q^52 + 27 * q^53 - 9 * q^54 - 45 * q^55 - 54 * q^56 - 54 * q^57 + 30 * q^58 + 36 * q^59 - 78 * q^60 - 42 * q^61 - 45 * q^62 + 57 * q^63 - 36 * q^64 + 45 * q^65 + 9 * q^66 + 30 * q^67 - 9 * q^68 + 69 * q^70 - 6 * q^71 - 6 * q^72 + 60 * q^73 + 9 * q^74 - 21 * q^75 + 54 * q^76 - 18 * q^77 + 3 * q^78 + 27 * q^79 - 45 * q^80 + 24 * q^81 - 9 * q^82 + 36 * q^83 + 99 * q^84 - 48 * q^85 - 48 * q^86 - 9 * q^88 - 9 * q^89 - 18 * q^90 + 24 * q^91 + 48 * q^92 - 3 * q^93 + 90 * q^94 - 75 * q^95 + 63 * q^96 - 27 * q^97 + 96 * q^98 + 48 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/133\mathbb{Z}\right)^\times$.

$n$	$78$	$115$
$\chi(n)$	$e\left(\frac{7}{18}\right)$	$e\left(\frac{5}{6}\right)$

Coefficient data

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

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

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

$2$	−1.84540	−	0.325394i	−1.30489	−	0.230088i	−0.522376	−	0.852716i	$-0.674954\pi$
$2$	−1.84540	−	0.325394i	−1.30489	−	0.230088i	−0.782518	+	0.622627i	$0.786065\pi$
$3$	−2.57736	+	0.938083i	−1.48804	+	0.541602i	−0.952933	−	0.303182i	$-0.901951\pi$
$3$	−2.57736	+	0.938083i	−1.48804	+	0.541602i	−0.535108	+	0.844784i	$0.679729\pi$
$4$	1.42023	+	0.516922i	0.710115	+	0.258461i
$5$	−0.854536	−	2.34782i	−0.382160	−	1.04998i	−0.970445	−	0.241323i	$-0.922419\pi$
$5$	−0.854536	−	2.34782i	−0.382160	−	1.04998i	0.588285	−	0.808654i	$-0.299803\pi$
$6$	5.06151	−	0.892480i	2.06635	−	0.364353i
$7$	−1.55266	+	2.14225i	−0.586851	+	0.809695i
$7$	−1.55266	+	2.14225i	−0.586851	+	0.809695i
$8$	0.792944	+	0.457807i	0.280348	+	0.161859i
$9$	3.46466	−	2.90719i	1.15489	−	0.969065i
$10$	0.812995	+	4.61072i	0.257091	+	1.45804i
$11$	5.95494			1.79548			0.897742	−	0.440522i	$-0.145207\pi$
$11$	5.95494			1.79548			0.897742	+	0.440522i	$0.145207\pi$
$12$	−4.14536			−1.19666
$13$	0.144307	+	0.818407i	0.0400236	+	0.226985i	0.998258	−	0.0589985i	$-0.0187907\pi$
$13$	0.144307	+	0.818407i	0.0400236	+	0.226985i	−0.958234	+	0.285984i	$0.907680\pi$
$14$	3.56236	−	3.44808i	0.952080	−	0.921538i
$15$	4.40490	+	5.24955i	1.13734	+	1.35543i
$16$	−3.62990	−	3.04584i	−0.907474	−	0.761461i
$17$	2.15947	−	2.57355i	0.523748	−	0.624178i	−0.437715	−	0.899114i	$-0.644212\pi$
$17$	2.15947	−	2.57355i	0.523748	−	0.624178i	0.961463	+	0.274936i	$0.0886565\pi$
$18$	−7.33966	+	4.23756i	−1.72997	+	0.998801i
$19$	1.39034	+	4.13122i	0.318967	+	0.947766i
$19$	1.39034	+	4.13122i	0.318967	+	0.947766i
$20$		−	3.77617i		−	0.844378i
$21$	1.99216	−	6.97788i	0.434726	−	1.52270i
$22$	−10.9892	−	1.93770i	−2.34292	−	0.413119i
$23$	−0.293617	−	1.66519i	−0.0612235	−	0.347215i	−0.999996	−	0.00267907i	$-0.999147\pi$
$23$	−0.293617	−	1.66519i	−0.0612235	−	0.347215i	0.938773	−	0.344536i	$-0.111964\pi$
$24$	−2.47317	−	0.436086i	−0.504833	−	0.0890156i
$25$	−0.951798	+	0.798653i	−0.190360	+	0.159731i
$26$		−	1.55724i		−	0.305401i
$27$	−2.08834	+	3.61710i	−0.401900	+	0.696112i
$28$	−3.31251	+	2.23989i	−0.626006	+	0.423299i
$29$	−1.44808	+	3.97856i	−0.268901	+	0.738800i	0.729590	+	0.683885i	$0.239711\pi$
$29$	−1.44808	+	3.97856i	−0.268901	+	0.738800i	−0.998491	+	0.0549151i	$0.982511\pi$
$30$	−6.42062	−	11.1208i	−1.17224	−	2.03038i
$31$	1.44184	−	2.49735i	0.258963	−	0.448537i	−0.707001	−	0.707212i	$-0.749953\pi$
$31$	1.44184	−	2.49735i	0.258963	−	0.448537i	0.965964	+	0.258675i	$0.0832859\pi$
$32$	4.53042	+	5.39914i	0.800872	+	0.954442i
$33$	−15.3480	+	5.58623i	−2.67175	+	0.972438i
$34$	−4.82250	+	4.04655i	−0.827051	+	0.693978i
$35$	6.35642	+	1.81474i	1.07443	+	0.306747i
$36$	6.42341	−	2.33793i	1.07057	−	0.389655i
$37$	5.74728	+	3.31819i	0.944847	+	0.545507i	0.891476	−	0.453067i	$-0.149670\pi$
$37$	5.74728	+	3.31819i	0.944847	+	0.545507i	0.0533703	+	0.998575i	$0.483004\pi$
$38$	−1.22147	−	8.07615i	−0.198148	−	1.31012i
$39$	−1.13967	−	1.97396i	−0.182493	−	0.316087i
$40$	0.397247	−	2.25290i	0.0628103	−	0.356215i
$41$	−0.0114298	+	0.0648215i	−0.00178503	+	0.0101234i	−0.985687	−	0.168584i	$-0.946080\pi$
$41$	−0.0114298	+	0.0648215i	−0.00178503	+	0.0101234i	0.983902	+	0.178708i	$0.0571916\pi$
$42$	−5.94689	+	12.2287i	−0.917625	+	1.88694i
$43$	8.34767	+	7.00453i	1.27301	+	1.06818i	0.994168	+	0.107843i	$0.0343942\pi$
$43$	8.34767	+	7.00453i	1.27301	+	1.06818i	0.278840	+	0.960338i	$0.410050\pi$
$44$	8.45739	+	3.07824i	1.27500	+	0.464062i
$45$	−9.78624	−	5.65009i	−1.45885	−	0.842266i
$46$			3.16848i			0.467166i
$47$	−1.20091	−	1.43119i	−0.175171	−	0.208760i	0.671314	−	0.741173i	$-0.265730\pi$
$47$	−1.20091	−	1.43119i	−0.175171	−	0.208760i	−0.846485	+	0.532412i	$0.821286\pi$
$48$	12.2128	+	4.44510i	1.76277	+	0.641595i
$49$	−2.17848	−	6.65238i	−0.311211	−	0.950341i
$50$	2.01632	−	1.16412i	0.285151	−	0.164632i
$51$	−3.15152	+	8.65874i	−0.441301	+	1.21247i
$52$	−0.218103	+	1.23692i	−0.0302454	+	0.171530i
$53$	3.10913	−	8.54226i	0.427072	−	1.17337i	−0.520510	−	0.853856i	$-0.674258\pi$
$53$	3.10913	−	8.54226i	0.427072	−	1.17337i	0.947582	−	0.319514i	$-0.103520\pi$
$54$	5.03079	−	5.99547i	0.684604	−	0.815880i
$55$	−5.08871	−	13.9811i	−0.686162	−	1.88521i
$56$	−2.21191	+	0.987867i	−0.295579	+	0.132009i
$57$	−7.45884	−	9.34338i	−0.987948	−	1.23756i
$58$	3.96688	−	6.87084i	0.520877	−	0.902185i
$59$	3.97141	+	3.33241i	0.517033	+	0.433843i	0.863596	−	0.504184i	$-0.168207\pi$
$59$	3.97141	+	3.33241i	0.517033	+	0.433843i	−0.346563	+	0.938027i	$0.612651\pi$
$60$	3.54236	+	9.73256i	0.457317	+	1.25647i
$61$	8.30925	−	1.46514i	1.06389	−	0.187593i	0.385808	−	0.922579i	$-0.373923\pi$
$61$	8.30925	−	1.46514i	1.06389	−	0.187593i	0.678082	+	0.734986i	$0.262811\pi$
$62$	−3.47340	+	4.13944i	−0.441122	+	0.525709i
$63$	0.848495	+	11.9361i	0.106900	+	1.50380i
$64$	−1.86509	−	3.23043i	−0.233136	−	0.403803i
$65$	1.79816	−	1.03817i	0.223034	−	0.128769i
$66$	30.1410	−	5.31467i	3.71010	−	0.654191i
$67$	−0.678216	+	0.119588i	−0.0828573	+	0.0146100i	−0.214923	−	0.976631i	$-0.568950\pi$
$67$	−0.678216	+	0.119588i	−0.0828573	+	0.0146100i	0.132066	+	0.991241i	$0.457839\pi$
$68$	4.39727	−	2.53876i	0.533247	−	0.307870i
$69$	2.31884	+	4.01635i	0.279156	+	0.483512i
$70$	−11.1396	−	5.41726i	−1.33144	−	0.647486i
$71$	5.06930	−	6.04136i	0.601616	−	0.716978i	−0.376178	−	0.926547i	$-0.622762\pi$
$71$	5.06930	−	6.04136i	0.601616	−	0.716978i	0.977794	+	0.209570i	$0.0672063\pi$
$72$	4.07822	−	0.719100i	0.480622	−	0.0847467i
$73$	3.52159	+	9.67549i	0.412171	+	1.13243i	0.956034	+	0.293256i	$0.0947389\pi$
$73$	3.52159	+	9.67549i	0.412171	+	1.13243i	−0.543863	+	0.839174i	$0.683039\pi$
$74$	−9.52630	−	7.99351i	−1.10741	−	0.929227i
$75$	1.70392	−	2.95128i	0.196752	−	0.340785i
$76$	−0.160907	+	6.58598i	−0.0184573	+	0.755463i
$77$	−9.24602	+	12.7570i	−1.05368	+	1.45379i
$78$	1.46082	+	4.01358i	0.165406	+	0.454449i
$79$	−6.71483	+	8.00242i	−0.755477	+	0.900343i	−0.997553	−	0.0699147i	$-0.977727\pi$
$79$	−6.71483	+	8.00242i	−0.755477	+	0.900343i	0.242076	+	0.970257i	$0.422172\pi$
$80$	−4.04921	+	11.1251i	−0.452716	+	1.24383i
$81$	−0.366871	+	2.08063i	−0.0407635	+	0.231181i
$82$	0.0421850	−	0.115902i	0.00465855	−	0.0127993i
$83$	−8.03504	+	4.63903i	−0.881960	+	0.509200i	−0.871304	−	0.490744i	$-0.836725\pi$
$83$	−8.03504	+	4.63903i	−0.881960	+	0.509200i	−0.0106557	+	0.999943i	$0.503392\pi$
$84$	6.43635	−	8.88041i	0.702263	−	0.968932i
$85$	−7.88758	−	2.87084i	−0.855528	−	0.311387i
$86$	−13.1256	−	15.6424i	−1.41536	−	1.68677i
$87$		−	11.6126i		−	1.24500i
$88$	4.72194	+	2.72621i	0.503360	+	0.290615i
$89$	−1.71992	−	0.626000i	−0.182311	−	0.0663558i	0.249252	−	0.968439i	$-0.419815\pi$
$89$	−1.71992	−	0.626000i	−0.182311	−	0.0663558i	−0.431563	+	0.902083i	$0.642038\pi$
$90$	16.2210	+	13.6110i	1.70985	+	1.43473i
$91$	−1.97729	−	0.961568i	−0.207277	−	0.100800i
$92$	0.443767	−	2.51673i	0.0462659	−	0.262387i
$93$	−1.37344	+	7.78914i	−0.142419	+	0.807696i
$94$	1.75046	+	3.03188i	0.180546	+	0.312715i
$95$	8.51125	−	6.79455i	0.873235	−	0.697106i
$96$	−16.7414	−	9.66563i	−1.70866	−	0.986495i
$97$	8.16455	−	2.97165i	0.828984	−	0.301726i	0.107542	−	0.994201i	$-0.465702\pi$
$97$	8.16455	−	2.97165i	0.828984	−	0.301726i	0.721442	+	0.692475i	$0.243480\pi$
$98$	1.85552	+	12.9852i	0.187436	+	1.31170i
$99$	20.6319	−	17.3122i	2.07358	−	1.73994i
$100$	−1.76461	+	0.642267i	−0.176461	+	0.0642267i
$101$	1.32709	+	1.58157i	0.132051	+	0.157372i	0.828018	−	0.560702i	$-0.189469\pi$
$101$	1.32709	+	1.58157i	0.132051	+	0.157372i	−0.695967	+	0.718074i	$0.745024\pi$
$102$	8.63331	−	14.9533i	0.854825	−	1.48060i
$103$	−2.35870	−	4.08539i	−0.232410	−	0.402546i	0.726107	−	0.687582i	$-0.241328\pi$
$103$	−2.35870	−	4.08539i	−0.232410	−	0.402546i	−0.958517	+	0.285036i	$0.907994\pi$
$104$	−0.260245	+	0.715016i	−0.0255191	+	0.0701131i
$105$	−18.0852	+	1.28561i	−1.76493	+	0.125463i
$106$	−8.51718	+	14.7522i	−0.827262	+	1.43286i
$107$		−	5.34815i		−	0.517026i	−0.966008	−	0.258513i	$-0.916768\pi$
$107$		−	5.34815i		−	0.517026i	0.966008	−	0.258513i	$-0.0832324\pi$
$108$	−4.83568	+	4.05761i	−0.465313	+	0.390444i
$109$	−11.9720	−	2.11099i	−1.14671	−	0.202196i	−0.432171	−	0.901792i	$-0.642252\pi$
$109$	−11.9720	−	2.11099i	−1.14671	−	0.202196i	−0.714539	+	0.699596i	$0.753364\pi$
$110$	4.84134	+	27.4566i	0.461603	+	2.61788i
$111$	−17.9256	−	3.16076i	−1.70142	−	0.300006i
$112$	12.1610	−	3.04698i	1.14910	−	0.287913i
$113$		−	13.1973i		−	1.24150i	−0.784008	−	0.620750i	$-0.786828\pi$
$113$		−	13.1973i		−	1.24150i	0.784008	−	0.620750i	$-0.213172\pi$
$114$	10.7243	+	19.6693i	1.00442	+	1.84220i
$115$	−3.65865	+	2.11232i	−0.341171	+	0.196975i
$116$	−4.11321	+	4.90193i	−0.381902	+	0.455133i
$117$	2.87925	+	2.41597i	0.266186	+	0.223357i
$118$	−6.24449	−	7.44189i	−0.574852	−	0.685082i
$119$	2.16027	+	8.62198i	0.198032	+	0.790376i
$120$	1.08956	+	6.17919i	0.0994626	+	0.564081i
$121$	24.4614			2.22376
$122$	−15.8106			−1.43143
$123$	−0.0313492	−	0.177790i	−0.00282667	−	0.0160308i
$124$	3.33868	−	2.80149i	0.299823	−	0.251581i
$125$	−8.13037	−	4.69407i	−0.727202	−	0.419850i
$126$	2.31811	−	22.3029i	0.206513	−	1.98690i
$127$	−7.55726	+	1.33255i	−0.670598	+	0.118245i	−0.498573	−	0.866848i	$-0.666142\pi$
$127$	−7.55726	+	1.33255i	−0.670598	+	0.118245i	−0.172026	+	0.985092i	$0.555031\pi$
$128$	−2.43050	−	6.67774i	−0.214828	−	0.590234i
$129$	−28.0858	−	10.2224i	−2.47282	−	0.900031i
$130$	−3.65613	+	1.33072i	−0.320664	+	0.116712i
$131$	0.750788	+	0.132384i	0.0655967	+	0.0115665i	0.206350	−	0.978478i	$-0.433841\pi$
$131$	0.750788	+	0.132384i	0.0655967	+	0.0115665i	−0.140754	+	0.990045i	$0.544953\pi$
$132$	−24.6854			−2.14859
$133$	−11.0088	−	3.43592i	−0.954587	−	0.297932i
$134$	1.29049			0.111482
$135$	10.2769	+	1.81209i	0.884491	+	0.155960i
$136$	2.89053	−	1.05207i	0.247861	−	0.0902139i
$137$	−0.129452	−	0.0471168i	−0.0110599	−	0.00402546i	0.336484	−	0.941689i	$-0.390762\pi$
$137$	−0.129452	−	0.0471168i	−0.0110599	−	0.00402546i	−0.347544	+	0.937664i	$0.612984\pi$
$138$	−2.97229	−	8.16631i	−0.253018	−	0.695162i
$139$	−2.42098	+	0.426884i	−0.205345	+	0.0362078i	−0.275374	−	0.961337i	$-0.588802\pi$
$139$	−2.42098	+	0.426884i	−0.205345	+	0.0362078i	0.0700296	+	0.997545i	$0.477691\pi$
$140$	8.08951	+	5.86312i	0.683688	+	0.495524i
$141$	4.43775	+	2.56214i	0.373726	+	0.215771i
$142$	−11.3207	+	9.49920i	−0.950013	+	0.797155i
$143$	0.859342	+	4.87357i	0.0718618	+	0.407548i
$144$	−21.4312			−1.78593
$145$	10.5784			0.878486
$146$	−3.35040	−	19.0010i	−0.277281	−	1.57254i
$147$	11.8552	+	15.1020i	0.977802	+	1.24559i
$148$	6.44721	+	7.68349i	0.529958	+	0.631579i
$149$	4.49502	+	3.77177i	0.368246	+	0.308995i	0.808067	−	0.589090i	$-0.200514\pi$
$149$	4.49502	+	3.77177i	0.368246	+	0.308995i	−0.439821	+	0.898085i	$0.644958\pi$
$150$	−4.10475	+	4.89185i	−0.335151	+	0.399418i
$151$	−1.41973	+	0.819682i	−0.115536	+	0.0667048i	−0.556654	−	0.830744i	$-0.687915\pi$
$151$	−1.41973	+	0.819682i	−0.115536	+	0.0667048i	0.441118	+	0.897449i	$0.354582\pi$
$152$	−0.788833	+	3.91233i	−0.0639828	+	0.317332i
$153$		−	15.1945i		−	1.22840i
$154$	21.2136	−	20.5331i	1.70944	−	1.65461i
$155$	−7.09543	−	1.25112i	−0.569918	−	0.100492i
$156$	−0.598206	−	3.39260i	−0.0478948	−	0.271625i
$157$	5.53919	+	0.976709i	0.442076	+	0.0779499i	0.390256	−	0.920707i	$-0.372387\pi$
$157$	5.53919	+	0.976709i	0.442076	+	0.0779499i	0.0518202	+	0.998656i	$0.483498\pi$
$158$	14.9955	−	12.5827i	1.19298	−	1.00103i
$159$			24.9331i			1.97732i
$160$	8.80480	−	15.2504i	0.696081	−	1.20565i
$161$	4.02314	+	1.95647i	0.317068	+	0.154191i
$162$	1.35405	−	3.72021i	0.106384	−	0.292288i
$163$	−0.734783	−	1.27268i	−0.0575527	−	0.0996842i	0.835814	−	0.549013i	$-0.184996\pi$
$163$	−0.734783	−	1.27268i	−0.0575527	−	0.0996842i	−0.893366	+	0.449329i	$0.851663\pi$
$164$	−0.0497405	+	0.0861531i	−0.00388408	+	0.00672743i
$165$	26.2309	+	31.2608i	2.04207	+	2.43365i
$166$	16.3374	−	5.94631i	1.26802	−	0.461523i
$167$	15.5832	−	13.0758i	1.20586	−	1.01184i	0.206420	−	0.978464i	$-0.433819\pi$
$167$	15.5832	−	13.0758i	1.20586	−	1.01184i	0.999443	−	0.0333754i	$-0.0106257\pi$
$168$	4.77420	−	4.62105i	0.368337	−	0.356522i
$169$	11.5670	−	4.21006i	0.889772	−	0.323851i
$170$	13.6216	+	7.86442i	1.04473	+	0.603173i
$171$	16.8273	+	10.2713i	1.28682	+	0.785463i
$172$	8.23482	+	14.2631i	0.627899	+	1.08755i
$173$	−3.09387	+	17.5462i	−0.235223	+	1.33401i	0.606922	+	0.794762i	$0.292404\pi$
$173$	−3.09387	+	17.5462i	−0.235223	+	1.33401i	−0.842144	+	0.539252i	$0.818707\pi$
$174$	−3.77867	+	21.4299i	−0.286460	+	1.62460i
$175$	−0.233095	−	3.27903i	−0.0176203	−	0.247871i
$176$	−21.6158	−	18.1378i	−1.62935	−	1.36719i
$177$	−13.3618	−	4.86331i	−1.00434	−	0.365549i
$178$	2.97024	+	1.71487i	0.222629	+	0.128535i
$179$			6.85003i			0.511995i	0.966677	+	0.255998i	$0.0824039\pi$
$179$			6.85003i			0.511995i	−0.966677	+	0.255998i	$0.917596\pi$
$180$	−10.9781	−	13.0831i	−0.818257	−	0.975160i
$181$	6.54081	+	2.38066i	0.486175	+	0.176953i	0.573465	−	0.819230i	$-0.305599\pi$
$181$	6.54081	+	2.38066i	0.486175	+	0.176953i	−0.0872907	+	0.996183i	$0.527821\pi$
$182$	3.33601	+	2.41788i	0.247281	+	0.179225i
$183$	−20.0415	+	11.5710i	−1.48151	+	0.855351i
$184$	0.529511	−	1.45482i	0.0390361	−	0.107251i
$185$	2.87926	−	16.3291i	0.211687	−	1.20054i
$186$	5.06907	−	13.9272i	0.371682	−	1.02119i
$187$	12.8595	−	15.3254i	0.940380	−	1.12070i
$188$	−0.965757	−	2.65339i	−0.0704350	−	0.193519i
$189$	−4.50626	−	10.0899i	−0.327782	−	0.733931i
$190$	−17.9175	+	9.76914i	−1.29988	+	0.708728i
$191$	−2.89966	+	5.02236i	−0.209812	+	0.363405i	−0.951655	−	0.307168i	$-0.900619\pi$
$191$	−2.89966	+	5.02236i	−0.209812	+	0.363405i	0.741843	+	0.670573i	$0.233952\pi$
$192$	7.83742	+	6.57637i	0.565617	+	0.474609i
$193$	−8.27901	−	22.7464i	−0.595936	−	1.63732i	−0.759289	−	0.650754i	$-0.774453\pi$
$193$	−8.27901	−	22.7464i	−0.595936	−	1.63732i	0.163353	−	0.986568i	$-0.447769\pi$
$194$	−16.0338	+	2.82719i	−1.15116	+	0.202981i
$195$	−3.66061	+	4.36255i	−0.262142	+	0.312409i
$196$	0.344818	−	10.5740i	0.0246299	−	0.755287i
$197$	4.05822	+	7.02905i	0.289136	+	0.500799i	0.973604	−	0.228244i	$-0.0732986\pi$
$197$	4.05822	+	7.02905i	0.289136	+	0.500799i	−0.684467	+	0.729043i	$0.739965\pi$
$198$	−43.7073	+	25.2344i	−3.10614	+	1.79333i
$199$	−24.1063	+	4.25060i	−1.70885	+	0.301317i	−0.940773	−	0.339038i	$-0.889898\pi$
$199$	−24.1063	+	4.25060i	−1.70885	+	0.301317i	−0.768079	+	0.640355i	$0.778787\pi$
$200$	−1.12035	+	0.197548i	−0.0792208	+	0.0139688i
$201$	1.63583	−	0.944444i	0.115382	−	0.0666160i
$202$	−1.93439	−	3.35045i	−0.136103	−	0.235737i
$203$	−6.27470	−	9.27951i	−0.440398	−	0.651294i
$204$	−8.95178	+	10.6683i	−0.626750	+	0.746931i
$205$	0.161956	−	0.0285572i	0.0113115	−	0.00199452i
$206$	3.02339	+	8.30669i	0.210649	+	0.578754i
$207$	−5.85831	−	4.91570i	−0.407181	−	0.341665i
$208$	1.96892	−	3.41027i	0.136520	−	0.236460i
$209$	8.27942	+	24.6012i	0.572699	+	1.70170i
$210$	33.7927	+	3.51233i	2.33192	+	0.242374i
$211$	1.81256	+	4.97996i	0.124782	+	0.342835i	0.986316	−	0.164864i	$-0.0527185\pi$
$211$	1.81256	+	4.97996i	0.124782	+	0.342835i	−0.861535	+	0.507699i	$0.830496\pi$
$212$	8.83136	−	10.5248i	0.606540	−	0.722846i
$213$	−7.39813	+	20.3262i	−0.506912	+	1.39273i
$214$	−1.74026	+	9.86948i	−0.118961	+	0.674664i
$215$	9.31197	−	25.5844i	0.635071	−	1.74484i
$216$	−3.31187	+	1.91211i	−0.225344	+	0.130102i
$217$	3.11125	+	6.96633i	0.211205	+	0.472905i
$218$	21.4062	+	7.79123i	1.44981	+	0.527689i
$219$	−18.1528	−	21.6337i	−1.22665	−	1.46187i
$220$		−	22.4869i		−	1.51607i
$221$	2.41784	+	1.39594i	0.162642	+	0.0939012i
$222$	32.0513	+	11.6657i	2.15114	+	0.782952i
$223$	4.52242	+	3.79476i	0.302844	+	0.254116i	0.781527	−	0.623872i	$-0.214441\pi$
$223$	4.52242	+	3.79476i	0.302844	+	0.254116i	−0.478683	+	0.877988i	$0.658886\pi$
$224$	−18.6005	+	1.32225i	−1.24280	+	0.0883465i
$225$	−0.975815	+	5.53412i	−0.0650543	+	0.368941i
$226$	−4.29433	+	24.3543i	−0.285654	+	1.62003i
$227$	6.58643	+	11.4080i	0.437157	+	0.757178i	0.997469	−	0.0711035i	$-0.0226521\pi$
$227$	6.58643	+	11.4080i	0.437157	+	0.757178i	−0.560312	+	0.828282i	$0.689319\pi$
$228$	−5.76348	−	17.1254i	−0.381696	−	1.13416i
$229$	8.33194	+	4.81045i	0.550590	+	0.317883i	0.749360	−	0.662163i	$-0.230361\pi$
$229$	8.33194	+	4.81045i	0.550590	+	0.317883i	−0.198770	+	0.980046i	$0.563695\pi$
$230$	7.43900	−	2.70758i	0.490513	−	0.178532i
$231$	11.8632	−	41.5529i	0.780542	−	2.73398i
$232$	−2.96966	+	2.49184i	−0.194968	+	0.163597i
$233$	−7.73968	+	2.81701i	−0.507043	+	0.184549i	−0.582859	−	0.812573i	$-0.698066\pi$
$233$	−7.73968	+	2.81701i	−0.507043	+	0.184549i	0.0758159	+	0.997122i	$0.475844\pi$
$234$	−4.52721	−	5.39532i	−0.295953	−	0.352703i
$235$	−2.33395	+	4.04252i	−0.152250	+	0.263705i
$236$	3.91772	+	6.78569i	0.255022	+	0.441711i
$237$	9.79961	−	26.9242i	0.636553	−	1.74891i
$238$	−1.18103	−	16.6139i	−0.0765547	−	1.07692i
$239$	−12.7030	+	22.0022i	−0.821686	+	1.42320i	0.0827395	+	0.996571i	$0.473633\pi$
$239$	−12.7030	+	22.0022i	−0.821686	+	1.42320i	−0.904426	+	0.426631i	$0.859700\pi$
$240$		−	32.4720i		−	2.09606i
$241$	20.7142	−	17.3813i	1.33432	−	1.11963i	0.351271	−	0.936274i	$-0.385750\pi$
$241$	20.7142	−	17.3813i	1.33432	−	1.11963i	0.983047	−	0.183352i	$-0.0586949\pi$
$242$	−45.1410	−	7.95957i	−2.90177	−	0.511660i
$243$	−3.18206	−	18.0463i	−0.204129	−	1.15767i
$244$	12.5584	+	2.21439i	0.803970	+	0.141762i
$245$	−13.7570	+	10.7994i	−0.878903	+	0.689947i
$246$			0.338295i			0.0215689i
$247$	−3.18038	+	1.73403i	−0.202363	+	0.110334i
$248$	2.28660	−	1.32017i	0.145200	−	0.0838310i
$249$	16.3574	−	19.4940i	1.03661	−	1.23538i
$250$	13.4764	+	11.3080i	0.852319	+	0.715181i
$251$	15.3004	+	18.2343i	0.965752	+	1.15094i	0.988504	+	0.151198i	$0.0483130\pi$
$251$	15.3004	+	18.2343i	0.965752	+	1.15094i	−0.0227511	+	0.999741i	$0.507243\pi$
$252$	−4.96495	+	17.3906i	−0.312762	+	1.09550i
$253$	−1.74848	−	9.91610i	−0.109926	−	0.623420i
$254$	14.3798			0.902266
$255$	23.0222			1.44171
$256$	3.60782	+	20.4610i	0.225489	+	1.27881i
$257$	−3.33176	+	2.79568i	−0.207829	+	0.174389i	−0.740761	−	0.671769i	$-0.765535\pi$
$257$	−3.33176	+	2.79568i	−0.207829	+	0.174389i	0.532931	+	0.846158i	$0.321090\pi$
$258$	48.5032	+	28.0033i	3.01968	+	1.74341i
$259$	−16.0320	+	7.16008i	−0.996179	+	0.444906i
$260$	3.09045	−	0.544929i	0.191661	−	0.0337951i
$261$	6.54935	+	17.9942i	0.405395	+	1.11381i
$262$	−1.34243	−	0.488603i	−0.0829354	−	0.0301860i
$263$	−18.7659	+	6.83025i	−1.15716	+	0.421171i	−0.848081	−	0.529866i	$-0.822242\pi$
$263$	−18.7659	+	6.83025i	−1.15716	+	0.421171i	−0.309077	+	0.951037i	$0.600020\pi$
$264$	−14.7276	−	2.59687i	−0.906419	−	0.159826i
$265$	−22.7125			−1.39522
$266$	19.1977	+	9.92284i	1.17708	+	0.608409i
$267$	5.02009			0.307225
$268$	−1.02504	−	0.180742i	−0.0626143	−	0.0110406i
$269$	−9.39860	+	3.42081i	−0.573043	+	0.208570i	−0.612255	−	0.790660i	$-0.709737\pi$
$269$	−9.39860	+	3.42081i	−0.573043	+	0.208570i	0.0392123	+	0.999231i	$0.487515\pi$
$270$	−18.3753	−	6.68805i	−1.11828	−	0.407022i
$271$	−8.89284	−	24.4329i	−0.540202	−	1.48419i	−0.846569	−	0.532279i	$-0.821336\pi$
$271$	−8.89284	−	24.4329i	−0.540202	−	1.48419i	0.306368	−	0.951913i	$-0.400886\pi$
$272$	−15.6773	+	2.76433i	−0.950575	+	0.167612i
$273$	5.99823	+	0.623442i	0.363030	+	0.0377324i
$274$	0.223560	+	0.129072i	0.0135057	+	0.00779754i
$275$	−5.66790	+	4.75593i	−0.341787	+	0.286794i
$276$	1.21715	+	6.90280i	0.0732639	+	0.415500i
$277$	−2.41705			−0.145227			−0.0726133	−	0.997360i	$-0.523134\pi$
$277$	−2.41705			−0.145227			−0.0726133	+	0.997360i	$0.523134\pi$
$278$	4.60657			0.276284
$279$	−2.26478	−	12.8442i	−0.135589	−	0.768961i
$280$	4.20949	+	4.34900i	0.251565	+	0.259902i
$281$	−1.90037	−	2.26478i	−0.113367	−	0.135105i	0.706377	−	0.707836i	$-0.250328\pi$
$281$	−1.90037	−	2.26478i	−0.113367	−	0.135105i	−0.819744	+	0.572731i	$0.805884\pi$
$282$	−7.35572	−	6.17218i	−0.438027	−	0.367548i
$283$	11.4903	−	13.6936i	0.683026	−	0.813999i	−0.307467	−	0.951559i	$-0.599481\pi$
$283$	11.4903	−	13.6936i	0.683026	−	0.813999i	0.990493	+	0.137560i	$0.0439259\pi$
$284$	10.3225	−	5.95969i	0.612527	−	0.353643i
$285$	−15.5627	+	25.4963i	−0.921856	+	1.51027i
$286$		−	9.27331i		−	0.548342i
$287$	−0.121117	−	0.125131i	−0.00714933	−	0.00738627i
$288$	31.3927	+	5.53538i	1.84983	+	0.326176i
$289$	0.992143	+	5.62672i	0.0583614	+	0.330984i
$290$	−19.5213	−	3.44213i	−1.14633	−	0.202129i
$291$	−18.2553	+	15.3180i	−1.07015	+	0.897960i
$292$			15.5618i			0.910686i
$293$	13.9063	−	24.0864i	0.812414	−	1.40714i	−0.0987558	−	0.995112i	$-0.531486\pi$
$293$	13.9063	−	24.0864i	0.812414	−	1.40714i	0.911170	−	0.412031i	$-0.135180\pi$
$294$	−16.9635	−	31.7268i	−0.989332	−	1.85035i
$295$	4.43018	−	12.1718i	0.257935	−	0.708670i
$296$	3.03818	+	5.26228i	0.176591	+	0.305864i
$297$	−12.4359	+	21.5396i	−0.721605	+	1.24986i
$298$	−7.06779	−	8.42306i	−0.409426	−	0.487935i
$299$	1.32043	−	0.480597i	0.0763625	−	0.0277937i
$300$	3.94555	−	3.31071i	0.227796	−	0.191144i
$301$	−27.9666	+	7.00714i	−1.61197	+	0.403885i
$302$	2.88669	−	1.05067i	0.166110	−	0.0604592i
$303$	−4.90404	−	2.83135i	−0.281730	−	0.162657i
$304$	7.53624	−	19.2307i	0.432233	−	1.10295i
$305$	−10.5404	−	18.2566i	−0.603544	−	1.04537i
$306$	−4.94419	+	28.0399i	−0.282640	+	1.60293i
$307$	−5.34757	+	30.3276i	−0.305202	+	1.73088i	0.317352	+	0.948308i	$0.397206\pi$
$307$	−5.34757	+	30.3276i	−0.305202	+	1.73088i	−0.622554	+	0.782577i	$0.713905\pi$
$308$	−19.7258	+	13.3384i	−1.12398	+	0.760025i
$309$	9.91167	+	8.31688i	0.563855	+	0.473131i
$310$	12.6868	+	4.61761i	0.720561	+	0.262263i
$311$	−27.4345	−	15.8393i	−1.55567	−	0.898164i	−0.997663	−	0.0683241i	$-0.978235\pi$
$311$	−27.4345	−	15.8393i	−1.55567	−	0.898164i	−0.558002	−	0.829840i	$-0.688432\pi$
$312$		−	2.08699i		−	0.118152i
$313$	8.47869	+	10.1045i	0.479244	+	0.571140i	0.950448	−	0.310884i	$-0.100625\pi$
$313$	8.47869	+	10.1045i	0.479244	+	0.571140i	−0.471204	+	0.882024i	$0.656181\pi$
$314$	−9.90421	−	3.60484i	−0.558927	−	0.203433i
$315$	27.2986	−	12.1919i	1.53810	−	0.686936i
$316$	−13.6732	+	7.89424i	−0.769179	+	0.444086i
$317$	2.35364	−	6.46657i	0.132193	−	0.363199i	−0.855882	−	0.517172i	$-0.826985\pi$
$317$	2.35364	−	6.46657i	0.132193	−	0.363199i	0.988075	+	0.153973i	$0.0492070\pi$
$318$	8.11308	−	46.0115i	0.454959	−	2.58020i
$319$	−8.62322	+	23.6921i	−0.482808	+	1.32650i
$320$	−5.99067	+	7.13941i	−0.334889	+	0.399105i
$321$	5.01701	+	13.7841i	0.280022	+	0.769355i
$322$	−6.78767	−	4.91957i	−0.378262	−	0.274157i
$323$	13.6343	+	5.34310i	0.758633	+	0.297298i
$324$	−1.59656	+	2.76533i	−0.0886980	+	0.153629i
$325$	−0.790975	−	0.663707i	−0.0438754	−	0.0368158i
$326$	0.941846	+	2.58770i	0.0521640	+	0.143319i
$327$	32.8365	−	5.78996i	1.81586	−	0.320185i
$328$	−0.0387389	+	0.0461672i	−0.00213900	+	0.00254916i
$329$	4.93057	−	0.350498i	0.271831	−	0.0193236i
$330$	−38.2344	−	66.2240i	−2.10474	−	3.64551i
$331$	−23.9087	+	13.8037i	−1.31414	+	0.758719i	−0.982779	−	0.184785i	$-0.940841\pi$
$331$	−23.9087	+	13.8037i	−1.31414	+	0.758719i	−0.331361	+	0.943504i	$0.607508\pi$
$332$	−13.8096	+	2.43501i	−0.757901	+	0.133638i
$333$	29.5590	−	5.21205i	1.61982	−	0.285618i
$334$	−33.0120	+	19.0595i	−1.80633	+	1.04289i
$335$	0.860331	+	1.49014i	0.0470049	+	0.0814149i
$336$	−28.4849	+	19.2612i	−1.55398	+	1.05078i
$337$	−4.69940	+	5.60053i	−0.255993	+	0.305080i	−0.878700	−	0.477375i	$-0.841588\pi$
$337$	−4.69940	+	5.60053i	−0.255993	+	0.305080i	0.622707	+	0.782455i	$0.286033\pi$
$338$	−22.7157	+	4.00539i	−1.23557	+	0.217865i
$339$	12.3802	+	34.0143i	0.672400	+	1.84740i
$340$	−9.71818	−	8.15452i	−0.527042	−	0.442241i
$341$	8.58610	−	14.8716i	0.464964	−	0.805340i
$342$	−27.7109	−	24.4301i	−1.49843	−	1.32103i
$343$	17.6335	+	5.66206i	0.952121	+	0.305722i
$344$	3.41252	+	9.37582i	0.183991	+	0.505510i
$345$	7.44813	−	8.87634i	0.400994	−	0.477886i
$346$	11.4189	−	31.3730i	0.613881	−	1.68663i
$347$	3.53520	−	20.0491i	0.189779	−	1.07629i	−0.729880	−	0.683575i	$-0.760424\pi$
$347$	3.53520	−	20.0491i	0.189779	−	1.07629i	0.919659	−	0.392717i	$-0.128465\pi$
$348$	6.00281	−	16.4926i	0.321784	−	0.884095i
$349$	6.58470	−	3.80168i	0.352471	−	0.203499i	−0.313302	−	0.949653i	$-0.601435\pi$
$349$	6.58470	−	3.80168i	0.352471	−	0.203499i	0.665773	+	0.746154i	$0.268102\pi$
$350$	−0.636821	+	6.12696i	−0.0340395	+	0.327500i
$351$	−3.26163	−	1.18713i	−0.174093	−	0.0633646i
$352$	26.9784	+	32.1516i	1.43795	+	1.71369i
$353$			13.3070i			0.708262i	0.935196	+	0.354131i	$0.115223\pi$
$353$			13.3070i			0.708262i	−0.935196	+	0.354131i	$0.884777\pi$
$354$	23.0754	+	13.3226i	1.22644	+	0.708088i
$355$	−18.5159	−	6.73925i	−0.982723	−	0.357682i
$356$	−2.11909	−	1.77813i	−0.112312	−	0.0942406i
$357$	−13.6559	−	20.1954i	−0.722749	−	1.06886i
$358$	2.22895	−	12.6410i	0.117804	−	0.668099i
$359$	4.18271	−	23.7213i	0.220755	−	1.25196i	−0.649881	−	0.760036i	$-0.725181\pi$
$359$	4.18271	−	23.7213i	0.220755	−	1.25196i	0.870636	−	0.491928i	$-0.163708\pi$
$360$	−5.17330	−	8.96041i	−0.272657	−	0.472255i
$361$	−15.1339	+	11.4876i	−0.796521	+	0.604611i
$362$	−11.2958	−	6.52161i	−0.593692	−	0.342768i
$363$	−63.0458	+	22.9468i	−3.30904	+	1.20439i
$364$	−2.31116	−	2.38775i	−0.121138	−	0.125152i
$365$	19.7070	−	16.5361i	1.03151	−	0.865539i
$366$	40.7497	−	14.8317i	2.13002	−	0.775264i
$367$	14.0438	+	16.7368i	0.733081	+	0.873652i	0.995831	−	0.0912121i	$-0.0290741\pi$
$367$	14.0438	+	16.7368i	0.733081	+	0.873652i	−0.262751	+	0.964864i	$0.584630\pi$
$368$	−4.00610	+	6.93877i	−0.208832	+	0.361708i
$369$	0.148848	+	0.257813i	0.00774874	+	0.0134212i
$370$	−10.6268	+	29.1968i	−0.552459	+	1.51787i
$371$	13.4722	+	19.9238i	0.699444	+	1.03439i
$372$	−5.97697	+	10.3524i	−0.309891	+	0.536748i
$373$			0.0722462i			0.00374077i	0.999998	+	0.00187038i	$0.000595362\pi$
$373$			0.0722462i			0.00374077i	−0.999998	+	0.00187038i	$0.999405\pi$
$374$	−28.7177	+	24.0970i	−1.48496	+	1.24603i
$375$	25.3583	+	4.47136i	1.30950	+	0.230900i
$376$	−0.297047	−	1.68464i	−0.0153190	−	0.0868786i
$377$	−3.46505	−	0.610982i	−0.178459	−	0.0314672i
$378$	5.03267	+	20.0862i	0.258853	+	1.03312i
$379$		−	19.2649i		−	0.989571i	−0.869015	−	0.494785i	$-0.835247\pi$
$379$		−	19.2649i		−	0.989571i	0.869015	−	0.494785i	$-0.164753\pi$
$380$	15.6002	−	5.25017i	0.800272	−	0.269328i
$381$	18.2277	−	10.5238i	0.933836	−	0.539150i
$382$	6.98527	−	8.32472i	0.357397	−	0.425930i
$383$	1.85143	+	1.55353i	0.0946036	+	0.0793819i	0.688863	−	0.724892i	$-0.258110\pi$
$383$	1.85143	+	1.55353i	0.0946036	+	0.0793819i	−0.594259	+	0.804274i	$0.702555\pi$
$384$	12.5285	+	14.9309i	0.639345	+	0.761941i
$385$	37.8521	+	10.8067i	1.92912	+	0.550759i
$386$	7.87655	+	44.6701i	0.400906	+	2.27365i
$387$	49.2854			2.50532
$388$	13.1316			0.666658
$389$	−2.81394	−	15.9587i	−0.142672	−	0.809136i	−0.969207	−	0.246249i	$-0.920802\pi$
$389$	−2.81394	−	15.9587i	−0.142672	−	0.809136i	0.826534	−	0.562887i	$-0.190309\pi$
$390$	8.17484	−	6.85950i	0.413949	−	0.347344i
$391$	−4.91950	−	2.84028i	−0.248790	−	0.143639i
$392$	1.31809	−	6.27229i	0.0665737	−	0.316799i
$393$	−2.05924	+	0.363100i	−0.103875	+	0.0183160i
$394$	−5.20183	−	14.2919i	−0.262065	−	0.720016i
$395$	24.5263	+	8.92684i	1.23405	+	0.449158i
$396$	38.2510	−	13.9222i	1.92219	−	0.699619i
$397$	−8.07027	−	1.42301i	−0.405035	−	0.0714186i	−0.0325807	−	0.999469i	$-0.510373\pi$
$397$	−8.07027	−	1.42301i	−0.405035	−	0.0714186i	−0.372454	+	0.928050i	$0.621484\pi$
$398$	45.8689			2.29920
$399$	31.5969	−	1.47160i	1.58182	−	0.0736720i
$400$	5.88750			0.294375
$401$	−14.2250	−	2.50825i	−0.710361	−	0.125256i	−0.193219	−	0.981156i	$-0.561893\pi$
$401$	−14.2250	−	2.50825i	−0.710361	−	0.125256i	−0.517142	+	0.855900i	$0.673004\pi$
$402$	−3.32607	+	1.21059i	−0.165889	+	0.0603787i
$403$	2.25192	+	0.819631i	0.112176	+	0.0408287i
$404$	1.06723	+	2.93220i	0.0530968	+	0.145882i
$405$	5.19844	−	0.916626i	0.258313	−	0.0455475i
$406$	8.55983	+	19.1661i	0.424817	+	0.951199i
$407$	34.2247	+	19.7596i	1.69646	+	0.979449i
$408$	−6.46301	+	5.42311i	−0.319967	+	0.268484i
$409$	0.618090	+	3.50536i	0.0305626	+	0.173329i	0.996268	−	0.0863100i	$-0.0275075\pi$
$409$	0.618090	+	3.50536i	0.0305626	+	0.173329i	−0.965706	+	0.259639i	$0.916396\pi$
$410$	−0.308166			−0.0152192
$411$	0.377845			0.0186377
$412$	−1.23807	−	7.02147i	−0.0609955	−	0.345923i
$413$	−13.3051	+	3.33365i	−0.654702	+	0.164038i
$414$	9.21138	+	10.9777i	0.452714	+	0.539524i
$415$	17.7578	+	14.9006i	0.871698	+	0.731441i
$416$	−3.76493	+	4.48686i	−0.184591	+	0.219987i
$417$	5.83928	−	3.37131i	0.285951	−	0.165094i
$418$	−7.27377	−	48.0930i	−0.355771	−	2.35231i
$419$		−	21.2892i		−	1.04005i	−0.854152	−	0.520023i	$-0.825924\pi$
$419$		−	21.2892i		−	1.04005i	0.854152	−	0.520023i	$-0.174076\pi$
$420$	−26.3497	−	7.52275i	−1.28573	−	0.367073i
$421$	−20.0541	−	3.53608i	−0.977377	−	0.172338i	−0.337928	−	0.941172i	$-0.609726\pi$
$421$	−20.0541	−	3.53608i	−0.977377	−	0.172338i	−0.639448	+	0.768834i	$0.720837\pi$
$422$	−1.72444	−	9.77981i	−0.0839447	−	0.476074i
$423$	−8.32149	−	1.46730i	−0.404605	−	0.0713427i
$424$	6.37607	−	5.35016i	0.309649	−	0.259827i
$425$			4.17417i			0.202477i
$426$	20.2665	−	35.1026i	0.981916	−	1.70073i
$427$	−9.76275	+	20.0754i	−0.472453	+	0.971515i
$428$	2.76458	−	7.59561i	0.133631	−	0.367148i
$429$	−6.78665	−	11.7548i	−0.327662	−	0.567528i
$430$	−25.5093	+	44.1834i	−1.23017	+	2.13071i
$431$	−12.9727	−	15.4602i	−0.624871	−	0.744693i	0.357028	−	0.934094i	$-0.383790\pi$
$431$	−12.9727	−	15.4602i	−0.624871	−	0.744693i	−0.981900	+	0.189401i	$0.939345\pi$
$432$	18.5976	−	6.76896i	0.894776	−	0.325672i
$433$	−10.8336	+	9.09050i	−0.520631	+	0.436862i	−0.864852	−	0.502027i	$-0.832588\pi$
$433$	−10.8336	+	9.09050i	−0.520631	+	0.436862i	0.344220	+	0.938889i	$0.388143\pi$
$434$	−3.47470	−	13.8680i	−0.166791	−	0.665687i
$435$	−27.2643	+	9.92339i	−1.30722	+	0.475790i
$436$	−15.9118	−	9.18668i	−0.762037	−	0.439962i
$437$	6.47102	−	3.52818i	0.309551	−	0.168776i
$438$	26.4597	+	45.8296i	1.26429	+	2.18982i
$439$	−0.294279	+	1.66894i	−0.0140451	+	0.0796540i	−0.991025	−	0.133679i	$-0.957321\pi$
$439$	−0.294279	+	1.66894i	−0.0140451	+	0.0796540i	0.976980	+	0.213333i	$0.0684320\pi$
$440$	2.36559	−	13.4159i	0.112775	−	0.639578i
$441$	−26.8875	−	16.7150i	−1.28036	−	0.795952i
$442$	−4.00765	−	3.36282i	−0.190625	−	0.159953i
$443$	−36.6501	−	13.3395i	−1.74130	−	0.633780i	−0.741969	−	0.670435i	$-0.766108\pi$
$443$	−36.6501	−	13.3395i	−1.74130	−	0.633780i	−0.999328	+	0.0366545i	$0.988330\pi$
$444$	−23.8245	−	13.7551i	−1.13066	−	0.652789i
$445$			4.57300i			0.216781i
$446$	−7.11088	−	8.47442i	−0.336710	−	0.401275i
$447$	−15.1235	−	5.50451i	−0.715318	−	0.260354i
$448$	9.81624	+	1.02028i	0.463774	+	0.0482035i
$449$	8.99854	−	5.19531i	0.424667	−	0.245182i	−0.272405	−	0.962183i	$-0.587819\pi$
$449$	8.99854	−	5.19531i	0.424667	−	0.245182i	0.697072	+	0.717001i	$0.254486\pi$
$450$	3.60154	−	9.89514i	0.169778	−	0.466461i
$451$	−0.0680637	+	0.386008i	−0.00320499	+	0.0181764i
$452$	6.82198	−	18.7432i	0.320879	−	0.881608i
$453$	2.89023	−	3.44444i	0.135795	−	0.161834i
$454$	−8.44250	−	23.1956i	−0.396226	−	1.08862i
$455$	−0.567917	+	5.46402i	−0.0266244	+	0.256157i
$456$	−1.63698	−	10.8235i	−0.0766588	−	0.506856i
$457$	−8.14231	+	14.1029i	−0.380881	+	0.659706i	−0.991188	−	0.132459i	$-0.957713\pi$
$457$	−8.14231	+	14.1029i	−0.380881	+	0.659706i	0.610307	+	0.792165i	$0.291046\pi$
$458$	−13.8105	−	11.5884i	−0.645320	−	0.541488i
$459$	4.79911	+	13.1855i	0.224003	+	0.615444i
$460$	−6.28803	+	1.10875i	−0.293181	+	0.0516957i
$461$	−3.91224	+	4.66242i	−0.182211	+	0.217151i	−0.849416	−	0.527723i	$-0.823046\pi$
$461$	−3.91224	+	4.66242i	−0.182211	+	0.217151i	0.667205	+	0.744874i	$0.267490\pi$
$462$	−35.4134	+	72.8214i	−1.64758	+	3.38796i
$463$	−15.7937	−	27.3555i	−0.733996	−	1.27132i	−0.955162	−	0.296082i	$-0.904320\pi$
$463$	−15.7937	−	27.3555i	−0.733996	−	1.27132i	0.221166	−	0.975236i	$-0.429014\pi$
$464$	17.3744	−	10.0311i	0.806588	−	0.465684i
$465$	19.4611	−	3.43152i	0.902488	−	0.159133i
$466$	15.1994	−	2.68007i	0.704100	−	0.124152i
$467$	9.92214	−	5.72855i	0.459142	−	0.265086i	−0.252541	−	0.967586i	$-0.581266\pi$
$467$	9.92214	−	5.72855i	0.459142	−	0.265086i	0.711683	+	0.702500i	$0.247933\pi$
$468$	2.84032	+	4.91958i	0.131294	+	0.227408i
$469$	0.796854	−	1.63859i	0.0367953	−	0.0756630i
$470$	5.62248	−	6.70061i	0.259346	−	0.309076i
$471$	−15.1927	+	2.67889i	−0.700045	+	0.123437i
$472$	1.62351	+	4.46055i	0.0747280	+	0.205314i
$473$	49.7099	+	41.7116i	2.28566	+	1.91790i
$474$	−26.8451	+	46.4971i	−1.23304	+	2.13568i
$475$	−4.62273	−	2.82168i	−0.212106	−	0.129468i
$476$	−1.38880	+	13.3619i	−0.0636556	+	0.612441i
$477$	−14.0619	−	38.6349i	−0.643852	−	1.76897i
$478$	30.6014	−	36.4693i	1.39968	−	1.66807i
$479$	8.62844	−	23.7065i	0.394244	−	1.08318i	−0.570801	−	0.821089i	$-0.693367\pi$
$479$	8.62844	−	23.7065i	0.394244	−	1.08318i	0.965044	−	0.262087i	$-0.0844107\pi$
$480$	−8.38705	+	47.5653i	−0.382815	+	2.17105i
$481$	−1.88626	+	5.18245i	−0.0860060	+	0.236300i
$482$	−43.8817	+	25.3351i	−1.99876	+	1.15398i
$483$	−12.2044	−	1.26850i	−0.555320	−	0.0577186i
$484$	34.7408	+	12.6446i	1.57913	+	0.574755i
$485$	−13.9538	−	16.6295i	−0.633609	−	0.755106i
$486$			34.3381i			1.55761i
$487$	11.3453	+	6.55023i	0.514106	+	0.296819i	0.734520	−	0.678587i	$-0.237407\pi$
$487$	11.3453	+	6.55023i	0.514106	+	0.296819i	−0.220414	+	0.975406i	$0.570741\pi$
$488$	7.25953	+	2.64225i	0.328623	+	0.119609i
$489$	3.08768	+	2.59087i	0.139630	+	0.117163i
$490$	28.9012	−	15.4527i	1.30562	−	0.698083i
$491$	−0.369555	+	2.09585i	−0.0166778	+	0.0945844i	−0.992010	−	0.126156i	$-0.959736\pi$
$491$	−0.369555	+	2.09585i	−0.0166778	+	0.0945844i	0.975333	+	0.220740i	$0.0708472\pi$
$492$	0.0473805	−	0.268708i	0.00213608	−	0.0121143i
$493$	7.11196	+	12.3183i	0.320307	+	0.554787i
$494$	6.43331	−	2.16510i	0.289448	−	0.0974127i
$495$	−58.2765	−	33.6460i	−2.61934	−	1.51227i
$496$	−12.8403	+	4.67348i	−0.576546	+	0.209845i
$497$	5.07120	+	20.2399i	0.227474	+	0.907884i
$498$	−36.5291	+	30.6516i	−1.63691	+	1.37353i
$499$	12.2986	−	4.47632i	0.550561	−	0.200388i	−0.0517350	−	0.998661i	$-0.516475\pi$
$499$	12.2986	−	4.47632i	0.550561	−	0.200388i	0.602296	+	0.798273i	$0.294253\pi$
$500$	−9.12053	−	10.8694i	−0.407883	−	0.486095i
$501$	−27.8973	+	48.3195i	−1.24636	+	2.15876i
$502$	−22.3020	−	38.6282i	−0.995387	−	1.72406i
$503$	7.02082	−	19.2895i	0.313043	−	0.860078i	−0.678996	−	0.734142i	$-0.737584\pi$
$503$	7.02082	−	19.2895i	0.313043	−	0.860078i	0.992038	−	0.125936i	$-0.0401933\pi$
$504$	−4.79160	+	9.85308i	−0.213435	+	0.438891i
$505$	2.57919	−	4.46728i	0.114772	−	0.198792i
$506$			18.8681i			0.838789i
$507$	−25.8631	+	21.7017i	−1.14862	+	0.963805i
$508$	−11.4219	−	2.01398i	−0.506764	−	0.0893561i
$509$	1.73629	+	9.84698i	0.0769596	+	0.436460i	0.998804	+	0.0488989i	$0.0155712\pi$
$509$	1.73629	+	9.84698i	0.0769596	+	0.436460i	−0.921844	+	0.387561i	$0.873318\pi$
$510$	−42.4852	−	7.49129i	−1.88128	−	0.331720i
$511$	−26.1952	−	7.47864i	−1.15881	−	0.330835i
$512$		−	24.7200i		−	1.09248i
$513$	−17.8465	−	3.59835i	−0.787944	−	0.158871i
$514$	7.05811	−	4.07500i	0.311320	−	0.179741i
$515$	−7.57617	+	9.02892i	−0.333846	+	0.397862i
$516$	−34.6041	−	29.0363i	−1.52336	−	1.27825i
$517$	−7.15135	−	8.52265i	−0.314516	−	0.374826i
$518$	31.9152	−	7.99650i	1.40228	−	0.351346i
$519$	−8.48578	−	48.1253i	−0.372484	−	2.11246i
$520$	1.90112			0.0833695
$521$	−11.8011			−0.517017			−0.258508	−	0.966009i	$-0.583231\pi$
$521$	−11.8011			−0.517017			−0.258508	+	0.966009i	$0.583231\pi$
$522$	−6.23097	−	35.3376i	−0.272722	−	1.54668i
$523$	2.02944	−	1.70290i	0.0887412	−	0.0744627i	−0.597338	−	0.801990i	$-0.703775\pi$
$523$	2.02944	−	1.70290i	0.0887412	−	0.0744627i	0.686079	+	0.727527i	$0.259330\pi$
$524$	0.997860	+	0.576115i	0.0435917	+	0.0251677i
$525$	3.67677	+	8.23258i	0.160467	+	0.359299i
$526$	36.8532	−	6.49821i	1.60687	−	0.283335i
$527$	−3.31344	−	9.10360i	−0.144336	−	0.396559i
$528$	72.7266	+	26.4703i	3.16502	+	1.15197i
$529$	18.9263	−	6.88861i	0.822882	−	0.299505i
$530$	41.9137	+	7.39051i	1.82061	+	0.321023i
$531$	23.4475			1.01754
$532$	−13.8590	−	10.5705i	−0.600863	−	0.458289i
$533$	−0.0546998			−0.00236931
$534$	−9.26408	−	1.63351i	−0.400896	−	0.0706887i
$535$	−12.5565	+	4.57019i	−0.542865	+	0.197587i
$536$	−0.592536	−	0.215665i	−0.0255937	−	0.00931533i
$537$	−6.42589	−	17.6550i	−0.277298	−	0.761869i
$538$	18.4573	−	3.25451i	0.795749	−	0.140312i
$539$	−12.9727	−	39.6146i	−0.558775	−	1.70632i
$540$	13.6588	+	7.88591i	0.587781	+	0.339356i
$541$	−15.7897	+	13.2492i	−0.678853	+	0.569626i	−0.915671	−	0.401928i	$-0.868340\pi$
$541$	−15.7897	+	13.2492i	−0.678853	+	0.569626i	0.236818	+	0.971554i	$0.423896\pi$
$542$	8.46054	+	47.9821i	0.363411	+	2.06101i
$543$	−19.0913			−0.819286
$544$	23.6783			1.01520
$545$	5.27430	+	29.9120i	0.225926	+	1.28129i
$546$	−10.8663	−	3.10229i	−0.465033	−	0.132766i
$547$	−16.1337	−	19.2274i	−0.689828	−	0.822105i	0.301507	−	0.953464i	$-0.402510\pi$
$547$	−16.1337	−	19.2274i	−0.689828	−	0.822105i	−0.991335	+	0.131359i	$0.958066\pi$
$548$	−0.159496	−	0.133833i	−0.00681335	−	0.00571708i
$549$	24.5293	−	29.2328i	1.04688	−	1.24763i
$550$	12.0071	−	6.93230i	0.511984	−	0.295594i
$551$	−18.4496	−	0.450756i	−0.785980	−	0.0192029i
$552$			4.24632i			0.180736i
$553$	−6.71733	−	26.8099i	−0.285650	−	1.14007i
$554$	4.46042	+	0.786493i	0.189505	+	0.0334149i
$555$	7.89714	+	44.7869i	0.335215	+	1.90110i
$556$	−3.65901	−	0.645182i	−0.155177	−	0.0273618i
$557$	−21.3231	+	17.8922i	−0.903487	+	0.758116i	−0.970869	−	0.239612i	$-0.922980\pi$
$557$	−21.3231	+	17.8922i	−0.903487	+	0.758116i	0.0673818	+	0.997727i	$0.478535\pi$
$558$			24.4396i			1.03461i
$559$	−4.52793	+	7.84260i	−0.191511	+	0.331707i
$560$	−17.5457	−	25.9480i	−0.741443	−	1.09650i
$561$	−18.7671	+	51.5623i	−0.792349	+	2.17696i
$562$	2.77000	+	4.79779i	0.116846	+	0.202382i
$563$	−9.56314	+	16.5638i	−0.403038	+	0.698082i	−0.994091	−	0.108550i	$-0.965379\pi$
$563$	−9.56314	+	16.5638i	−0.403038	+	0.698082i	0.591053	+	0.806633i	$0.298712\pi$
$564$	4.97821	+	5.93280i	0.209620	+	0.249816i
$565$	−30.9849	+	11.2776i	−1.30355	+	0.474452i
$566$	−25.6599	+	21.5313i	−1.07857	+	0.905026i
$567$	−3.88760	−	4.01644i	−0.163264	−	0.168675i
$568$	6.78545	−	2.46970i	0.284711	−	0.103626i
$569$	37.2818	+	21.5246i	1.56293	+	0.902359i	0.996958	+	0.0779363i	$0.0248331\pi$
$569$	37.2818	+	21.5246i	1.56293	+	0.902359i	0.565974	+	0.824423i	$0.308500\pi$
$570$	37.0157	−	41.9868i	1.55042	−	1.75863i
$571$	4.02236	+	6.96693i	0.168330	+	0.291557i	0.937833	−	0.347087i	$-0.112829\pi$
$571$	4.02236	+	6.96693i	0.168330	+	0.291557i	−0.769503	+	0.638644i	$0.779496\pi$
$572$	−1.29879	+	7.36581i	−0.0543051	+	0.307980i
$573$	2.76208	−	15.6645i	0.115388	−	0.654396i
$574$	0.182793	+	0.270328i	0.00762962	+	0.0112833i
$575$	1.60937	+	1.35042i	0.0671154	+	0.0563165i
$576$	−15.8534	−	5.77016i	−0.660558	−	0.240423i
$577$	−1.02666	−	0.592741i	−0.0427403	−	0.0246761i	0.478478	−	0.878100i	$-0.341189\pi$
$577$	−1.02666	−	0.592741i	−0.0427403	−	0.0246761i	−0.521218	+	0.853424i	$0.674522\pi$
$578$		−	10.7064i		−	0.445327i
$579$	42.6760	+	50.8593i	1.77355	+	2.11364i
$580$	15.0237	+	5.46819i	0.623826	+	0.227054i
$581$	2.53773	−	24.4159i	0.105283	−	1.01294i
$582$	38.6728	−	22.3277i	1.60304	−	0.925514i
$583$	18.5147	−	50.8687i	0.766800	−	2.10677i
$584$	−1.63708	+	9.28433i	−0.0677428	+	0.384188i
$585$	3.21185	−	8.82448i	0.132794	−	0.364847i
$586$	−33.5002	+	39.9240i	−1.38388	+	1.64925i
$587$	1.48615	+	4.08315i	0.0613398	+	0.168530i	0.966577	−	0.256377i	$-0.0825290\pi$
$587$	1.48615	+	4.08315i	0.0613398	+	0.168530i	−0.905237	+	0.424907i	$0.860307\pi$
$588$	9.03059	+	27.5765i	0.372415	+	1.13724i
$589$	12.3217	+	2.48440i	0.507709	+	0.102368i
$590$	−12.1361	+	21.0203i	−0.499634	+	0.865392i
$591$	−17.0533	−	14.3094i	−0.701481	−	0.588612i
$592$	−10.7553	−	29.5500i	−0.442041	−	1.21450i
$593$	−41.2649	+	7.27612i	−1.69455	+	0.298794i	−0.935784	−	0.352573i	$-0.885307\pi$
$593$	−41.2649	+	7.27612i	−1.69455	+	0.298794i	−0.758762	+	0.651368i	$0.774196\pi$
$594$	29.9581	−	35.7027i	1.22920	−	1.46490i
$595$	18.3968	−	12.4397i	0.754196	−	0.509979i
$596$	4.43425	+	7.68035i	0.181634	+	0.314599i
$597$	58.1433	−	33.5691i	2.37965	−	1.37389i
$598$	−2.59310	+	0.457234i	−0.106040	+	0.0186977i
$599$	−20.2318	+	3.56740i	−0.826647	+	0.145760i	−0.570938	−	0.820993i	$-0.693420\pi$
$599$	−20.2318	+	3.56740i	−0.826647	+	0.145760i	−0.255710	+	0.966754i	$0.582309\pi$
$600$	2.70223	−	1.56014i	0.110318	−	0.0636923i
$601$	10.4938	+	18.1758i	0.428052	+	0.741408i	0.996700	−	0.0811730i	$-0.0258666\pi$
$601$	10.4938	+	18.1758i	0.428052	+	0.741408i	−0.568648	+	0.822581i	$0.692533\pi$
$602$	53.8895	−	3.83083i	2.19637	−	0.156133i
$603$	−2.00212	+	2.38604i	−0.0815328	+	0.0971670i
$604$	−2.44006	+	0.430248i	−0.0992845	+	0.0175065i
$605$	−20.9031	−	57.4308i	−0.849832	−	2.33490i
$606$	8.12861	+	6.82072i	0.330202	+	0.277073i
$607$	−14.0195	+	24.2824i	−0.569032	+	0.985593i	0.427629	+	0.903954i	$0.359349\pi$
$607$	−14.0195	+	24.2824i	−0.569032	+	0.985593i	−0.996662	+	0.0816391i	$0.973985\pi$
$608$	−16.0062	+	26.2228i	−0.649136	+	1.06347i
$609$	24.8771	+	18.0305i	1.00807	+	0.730631i
$610$	13.5107	+	37.1205i	0.547034	+	1.50296i
$611$	0.997995	−	1.18936i	0.0403746	−	0.0481165i
$612$	7.85435	−	21.5797i	0.317493	−	0.872306i
$613$	3.52534	−	19.9932i	0.142387	−	0.807517i	−0.827041	−	0.562141i	$-0.809978\pi$
$613$	3.52534	−	19.9932i	0.142387	−	0.807517i	0.969428	−	0.245375i	$-0.0789112\pi$
$614$	19.7368	−	54.2264i	0.796512	−	2.18840i
$615$	−0.390631	+	0.225531i	−0.0157517	+	0.00909427i
$616$	−13.1718	+	5.88269i	−0.530707	+	0.237020i
$617$	12.8361	+	4.67194i	0.516760	+	0.188085i	0.587217	−	0.809430i	$-0.300224\pi$
$617$	12.8361	+	4.67194i	0.516760	+	0.188085i	−0.0704569	+	0.997515i	$0.522446\pi$
$618$	−15.5847	−	18.5732i	−0.626910	−	0.747122i
$619$		−	45.0707i		−	1.81155i	−0.423764	−	0.905773i	$-0.639291\pi$
$619$		−	45.0707i		−	1.81155i	0.423764	−	0.905773i	$-0.360709\pi$
$620$	−9.43041	−	5.44465i	−0.378734	−	0.218662i
$621$	6.63632	+	2.41542i	0.266307	+	0.0969276i
$622$	45.4735	+	38.1568i	1.82332	+	1.52995i
$623$	4.01150	−	2.71253i	0.160717	−	0.108675i
$624$	−1.87550	+	10.6365i	−0.0750803	+	0.425801i
$625$	−5.15191	+	29.2179i	−0.206076	+	1.16872i
$626$	−12.3586	−	21.4057i	−0.493950	−	0.855546i
$627$	−44.4170	−	55.6393i	−1.77384	−	2.22202i
$628$	7.36205	+	4.25048i	0.293778	+	0.169613i
$629$	20.9506	−	7.62539i	0.835355	−	0.304044i
$630$	−54.3440	+	13.6161i	−2.16512	+	0.542480i
$631$	−6.59750	+	5.53596i	−0.262642	+	0.220383i	−0.764593	−	0.644513i	$-0.777060\pi$
$631$	−6.59750	+	5.53596i	−0.262642	+	0.220383i	0.501951	+	0.864896i	$0.332616\pi$
$632$	−8.98805	+	3.27138i	−0.357525	+	0.130129i
$633$	−9.34324	−	11.1348i	−0.371360	−	0.442570i
$634$	−6.44758	+	11.1675i	−0.256066	+	0.443519i
$635$	9.58653	+	16.6044i	0.380430	+	0.658924i
$636$	−12.8885	+	35.4108i	−0.511061	+	1.40413i
$637$	5.12999	−	2.74287i	0.203258	−	0.108677i
$638$	23.6225	−	40.9154i	0.935225	−	1.61986i
$639$		−	35.6687i		−	1.41103i
$640$	−13.6012	+	11.4127i	−0.537634	+	0.451128i
$641$	10.2479	+	1.80698i	0.404768	+	0.0713715i	0.372326	−	0.928102i	$-0.378560\pi$
$641$	10.2479	+	1.80698i	0.404768	+	0.0713715i	0.0324421	+	0.999474i	$0.489672\pi$
$642$	−4.77312	−	27.0697i	−0.188380	−	1.06836i
$643$	9.79011	+	1.72626i	0.386084	+	0.0680771i	0.363322	−	0.931664i	$-0.381643\pi$
$643$	9.79011	+	1.72626i	0.386084	+	0.0680771i	0.0227628	+	0.999741i	$0.492754\pi$
$644$	4.70244	+	4.85829i	0.185302	+	0.191443i
$645$			74.6757i			2.94035i
$646$	−23.4221	−	14.2967i	−0.921531	−	0.562495i
$647$	−29.3237	+	16.9301i	−1.15284	+	0.665590i	−0.949576	−	0.313535i	$-0.898487\pi$
$647$	−29.3237	+	16.9301i	−1.15284	+	0.665590i	−0.203259	+	0.979125i	$0.565153\pi$
$648$	−1.24343	+	1.48187i	−0.0488467	+	0.0582132i
$649$	23.6495	+	19.8443i	0.928325	+	0.778957i
$650$	1.24370	+	1.48218i	0.0487819	+	0.0581360i
$651$	−14.5538	−	15.0361i	−0.570409	−	0.589313i
$652$	−0.385685	−	2.18733i	−0.0151046	−	0.0856624i
$653$	16.2439			0.635672			0.317836	−	0.948146i	$-0.397044\pi$
$653$	16.2439			0.635672			0.317836	+	0.948146i	$0.397044\pi$
$654$	−62.4804			−2.44318
$655$	−0.330762	−	1.87584i	−0.0129239	−	0.0732952i
$656$	0.238925	−	0.200482i	0.00932845	−	0.00782750i
$657$	40.3296	+	23.2843i	1.57341	+	0.908408i
$658$	−9.21292	−	0.957568i	−0.359157	−	0.0373299i
$659$	−9.45469	+	1.66712i	−0.368303	+	0.0649417i	−0.354737	−	0.934966i	$-0.615429\pi$
$659$	−9.45469	+	1.66712i	−0.368303	+	0.0649417i	−0.0135660	+	0.999908i	$0.504318\pi$
$660$	21.0946	+	57.9568i	0.821105	+	2.25597i
$661$	21.9748	+	7.99817i	0.854720	+	0.311093i	0.731963	−	0.681344i	$-0.238604\pi$
$661$	21.9748	+	7.99817i	0.854720	+	0.311093i	0.122757	+	0.992437i	$0.460826\pi$
$662$	48.6127	−	17.6936i	1.88939	−	0.687680i
$663$	−7.54116	−	1.32971i	−0.292874	−	0.0516417i
$664$	−8.49512			−0.329674
$665$	1.34053	+	28.7829i	0.0519837	+	1.11615i
$666$	−56.2441			−2.17941
$667$	7.05023	+	1.24315i	0.272986	+	0.0481348i
$668$	28.8909	−	10.5154i	1.11782	−	0.406854i
$669$	−15.2157	−	5.53807i	−0.588274	−	0.214114i
$670$	−1.10277	−	3.02984i	−0.0426038	−	0.117053i
$671$	49.4811	−	8.72485i	1.91020	−	0.336819i
$672$	46.6999	−	20.8568i	1.80149	−	0.804567i
$673$	−20.6850	−	11.9425i	−0.797348	−	0.460349i	0.0451949	−	0.998978i	$-0.485609\pi$
$673$	−20.6850	−	11.9425i	−0.797348	−	0.460349i	−0.842543	+	0.538629i	$0.818942\pi$
$674$	10.4946	−	8.80605i	0.404239	−	0.339196i
$675$	−0.901138	−	5.11061i	−0.0346848	−	0.196707i
$676$	18.6041			0.715543
$677$	9.90298			0.380602			0.190301	−	0.981726i	$-0.439054\pi$
$677$	9.90298			0.380602			0.190301	+	0.981726i	$0.439054\pi$
$678$	−11.7784	−	66.7984i	−0.452345	−	2.56538i
$679$	−6.31076	+	22.1045i	−0.242185	+	0.848292i
$680$	−4.94012	−	5.88741i	−0.189445	−	0.225772i
$681$	−27.6773	−	23.2240i	−1.06060	−	0.889946i
$682$	−20.6839	+	24.6501i	−0.792027	+	0.943901i
$683$	5.38502	−	3.10904i	0.206052	−	0.118964i	−0.393423	−	0.919357i	$-0.628709\pi$
$683$	5.38502	−	3.10904i	0.206052	−	0.118964i	0.599475	+	0.800393i	$0.295376\pi$
$684$	18.5892	+	23.2860i	0.710777	+	0.890361i
$685$			0.344193i			0.0131510i
$686$	−30.6985	−	16.1866i	−1.17207	−	0.618007i
$687$	−25.9870	−	4.58221i	−0.991467	−	0.174822i
$688$	−8.96647	−	50.8514i	−0.341844	−	1.93869i
$689$	7.43972	+	1.31182i	0.283431	+	0.0499765i
$690$	−16.6331	+	13.9568i	−0.633210	+	0.531327i
$691$		−	30.8239i		−	1.17260i	−0.810096	−	0.586298i	$-0.800585\pi$
$691$		−	30.8239i		−	1.17260i	0.810096	−	0.586298i	$-0.199415\pi$
$692$	−13.4640	+	23.3204i	−0.511826	+	0.886508i
$693$	5.05274	+	71.0786i	0.191938	+	2.70005i
$694$	−13.0477	+	35.8483i	−0.495284	+	1.36078i
$695$	3.07106	+	5.31923i	0.116492	+	0.201770i
$696$	5.31633	−	9.20815i	0.201515	−	0.349034i
$697$	0.142139	+	0.169395i	0.00538391	+	0.00641629i
$698$	−13.3884	+	4.87299i	−0.506760	+	0.184445i
$699$	17.3054	−	14.5209i	0.654549	−	0.549232i
$700$	1.36395	−	4.77747i	0.0515525	−	0.180571i
$701$	2.43588	−	0.886588i	0.0920019	−	0.0334860i	−0.295609	−	0.955309i	$-0.595523\pi$
$701$	2.43588	−	0.886588i	0.0920019	−	0.0334860i	0.387611	+	0.921823i	$0.373300\pi$
$702$	5.63271	+	3.25205i	0.212593	+	0.122741i
$703$	−5.71748	+	28.3567i	−0.215639	+	1.06949i
$704$	−11.1065	−	19.2370i	−0.418592	−	0.725022i
$705$	2.22321	−	12.6085i	0.0837311	−	0.474863i
$706$	4.33002	−	24.5568i	0.162963	−	0.924207i
$707$	−5.44865	+	0.387326i	−0.204917	+	0.0145669i
$708$	−16.4629	−	13.8140i	−0.618715	−	0.519163i
$709$	−11.3421	−	4.12819i	−0.425962	−	0.155038i	0.120138	−	0.992757i	$-0.461666\pi$
$709$	−11.3421	−	4.12819i	−0.425962	−	0.155038i	−0.546101	+	0.837720i	$0.683888\pi$
$710$	31.9764	+	18.4616i	1.20005	+	0.692850i
$711$			47.2470i			1.77190i
$712$	−1.07721	−	1.28377i	−0.0403703	−	0.0481115i
$713$	−4.58190	−	1.66768i	−0.171594	−	0.0624549i
$714$	18.6292	+	41.7122i	0.697180	+	1.56104i
$715$	10.7079	−	6.18222i	0.400453	−	0.231202i
$716$	−3.54093	+	9.72862i	−0.132331	+	0.363575i
$717$	12.1003	−	68.6240i	0.451893	−	2.56281i
$718$	−15.4375	+	42.4143i	−0.576124	+	1.58289i
$719$	6.82136	−	8.12938i	0.254394	−	0.303175i	−0.623699	−	0.781664i	$-0.714371\pi$
$719$	6.82136	−	8.12938i	0.254394	−	0.303175i	0.878093	+	0.478489i	$0.158816\pi$
$720$	18.3137	+	50.3166i	0.682513	+	1.87519i
$721$	12.4142	+	1.29030i	0.462329	+	0.0480534i
$722$	31.6661	−	16.2748i	1.17849	−	0.605684i
$723$	−37.0829	+	64.2294i	−1.37913	+	2.38872i
$724$	8.05885	+	6.76218i	0.299505	+	0.251314i
$725$	−1.79921	−	4.94330i	−0.0668211	−	0.183589i
$726$	123.811	−	21.8313i	4.59507	−	0.810235i
$727$	−0.735074	+	0.876026i	−0.0272624	+	0.0324900i	−0.779503	−	0.626398i	$-0.784528\pi$
$727$	−0.735074	+	0.876026i	−0.0272624	+	0.0324900i	0.752241	+	0.658888i	$0.228973\pi$
$728$	−1.12767	−	1.66769i	−0.0417943	−	0.0618086i
$729$	21.9612	+	38.0379i	0.813377	+	1.40881i
$730$	−41.7480	+	24.1032i	−1.54516	+	0.892099i
$731$	36.0530	−	6.35712i	1.33347	−	0.235127i
$732$	−34.4448	+	6.07356i	−1.27312	+	0.224485i
$733$	26.6024	−	15.3589i	0.982584	−	0.567295i	0.0795346	−	0.996832i	$-0.474657\pi$
$733$	26.6024	−	15.3589i	0.982584	−	0.567295i	0.903049	+	0.429537i	$0.141323\pi$
$734$	−20.4704	−	35.4558i	−0.755576	−	1.30870i
$735$	25.3261	−	40.7391i	0.934166	−	1.50268i
$736$	7.66037	−	9.12927i	0.282365	−	0.336510i
$737$	−4.03874	+	0.712139i	−0.148769	+	0.0262320i
$738$	−0.190794	−	0.524202i	−0.00702322	−	0.0192961i
$739$	−19.7433	−	16.5666i	−0.726269	−	0.609412i	0.202843	−	0.979211i	$-0.434982\pi$
$739$	−19.7433	−	16.5666i	−0.726269	−	0.609412i	−0.929112	+	0.369799i	$0.879426\pi$
$740$	12.5301	−	21.7027i	0.460614	−	0.797807i
$741$	6.57033	−	7.45269i	0.241367	−	0.273781i
$742$	−18.3786	−	41.1511i	−0.674699	−	1.51070i
$743$	11.7640	+	32.3214i	0.431580	+	1.18576i	0.944842	+	0.327525i	$0.106215\pi$
$743$	11.7640	+	32.3214i	0.431580	+	1.18576i	−0.513262	+	0.858232i	$0.671563\pi$
$744$	−4.65498	+	5.54759i	−0.170660	+	0.203384i
$745$	5.01427	−	13.7766i	0.183709	−	0.504735i
$746$	0.0235084	−	0.133323i	0.000860705	−	0.00488130i
$747$	−14.3521	+	39.4321i	−0.525116	+	1.44274i
$748$	26.1855	−	15.1182i	0.957436	−	0.552776i
$749$	11.4571	+	8.30388i	0.418633	+	0.303417i
$750$	−45.3413	−	16.5029i	−1.65563	−	0.602600i
$751$	21.3505	+	25.4446i	0.779092	+	0.928486i	0.998892	−	0.0470591i	$-0.0149849\pi$
$751$	21.3505	+	25.4446i	0.779092	+	0.928486i	−0.219800	+	0.975545i	$0.570540\pi$
$752$			8.85285i			0.322830i
$753$	−56.5399	−	32.6433i	−2.06043	−	1.18959i
$754$	6.19559	+	2.25501i	0.225630	+	0.0821227i
$755$	3.13767	+	2.63282i	0.114192	+	0.0958182i
$756$	−1.18426	−	16.6593i	−0.0430710	−	0.605894i
$757$	−4.57638	+	25.9540i	−0.166331	+	0.943313i	0.781350	+	0.624094i	$0.214532\pi$
$757$	−4.57638	+	25.9540i	−0.166331	+	0.943313i	−0.947681	+	0.319219i	$0.896579\pi$
$758$	−6.26867	+	35.5514i	−0.227688	+	1.29129i
$759$	13.8086	+	23.9171i	0.501219	+	0.868138i
$760$	9.85953	−	1.49119i	0.357643	−	0.0540912i
$761$	−8.70020	−	5.02307i	−0.315382	−	0.182086i	0.333950	−	0.942591i	$-0.391618\pi$
$761$	−8.70020	−	5.02307i	−0.315382	−	0.182086i	−0.649332	+	0.760505i	$0.724952\pi$
$762$	−37.0618	+	13.4894i	−1.34261	+	0.488670i
$763$	23.1107	−	22.3694i	0.836665	−	0.809826i
$764$	−6.71435	+	5.63401i	−0.242917	+	0.203831i
$765$	−35.6739	+	12.9842i	−1.28979	+	0.469446i
$766$	−2.91112	−	3.46933i	−0.105183	−	0.125352i
$767$	−2.15416	+	3.73112i	−0.0777823	+	0.134723i
$768$	−28.4928	−	49.3509i	−1.02814	−	1.78080i
$769$	−2.21251	+	6.07883i	−0.0797853	+	0.219208i	−0.973171	−	0.230081i	$-0.926101\pi$
$769$	−2.21251	+	6.07883i	−0.0797853	+	0.219208i	0.893386	+	0.449290i	$0.148323\pi$
$770$	−66.3359	−	32.2595i	−2.39058	−	1.16255i
$771$	5.96457	−	10.3309i	0.214809	−	0.372059i
$772$		−	36.5847i		−	1.31671i
$773$	−33.6272	+	28.2166i	−1.20949	+	1.01488i	−0.210181	+	0.977663i	$0.567405\pi$
$773$	−33.6272	+	28.2166i	−1.20949	+	1.01488i	−0.999307	+	0.0372184i	$0.988150\pi$
$774$	−90.9511	−	16.0371i	−3.26917	−	0.576443i
$775$	0.622170	+	3.52850i	0.0223490	+	0.126748i
$776$	7.83447	+	1.38143i	0.281241	+	0.0495904i
$777$	34.6035	−	33.4934i	1.24139	−	1.20157i
$778$			30.3657i			1.08866i
$779$	−0.283683	+	0.0429052i	−0.0101640	+	0.00153724i
$780$	−7.45401	+	4.30357i	−0.266896	+	0.154093i
$781$	30.1874	−	35.9760i	1.08019	−	1.28732i
$782$	8.15424	+	6.84222i	0.291595	+	0.244677i
$783$	−11.3668	−	13.5464i	−0.406216	−	0.484109i
$784$	−12.3545	+	30.7828i	−0.441231	+	1.09938i
$785$	−2.44030	−	13.8397i	−0.0870982	−	0.493959i
$786$	3.91827			0.139760
$787$	21.7807			0.776398			0.388199	−	0.921576i	$-0.373097\pi$
$787$	21.7807			0.776398			0.388199	+	0.921576i	$0.373097\pi$
$788$	2.13014	+	12.0807i	0.0758833	+	0.430355i
$789$	41.9593	−	35.2080i	1.49379	−	1.25344i
$790$	−42.3561	−	24.4543i	−1.50696	−	0.870044i
$791$	28.2720	+	20.4910i	1.00524	+	0.728576i
$792$	24.2855	−	4.28220i	0.862949	−	0.152161i
$793$	2.39817	+	6.58892i	0.0851615	+	0.233979i
$794$	14.4298	+	5.25203i	0.512095	+	0.186387i
$795$	58.5384	−	21.3062i	2.07614	−	0.755655i
$796$	−36.4338	−	6.42425i	−1.29136	−	0.227702i
$797$	−36.1577			−1.28077			−0.640386	−	0.768053i	$-0.721226\pi$
$797$	−36.1577			−1.28077			−0.640386	+	0.768053i	$0.721226\pi$
$798$	−58.7878	−	7.56576i	−2.08106	−	0.267825i
$799$	−6.27657			−0.222049
$800$	−8.62408	−	1.52066i	−0.304907	−	0.0537634i
$801$	−7.77884	+	2.83127i	−0.274852	+	0.100038i
$802$	25.4346	+	9.25742i	0.898126	+	0.326891i
$803$	20.9709	+	57.6170i	0.740046	+	2.03326i
$804$	2.81145	−	0.495735i	0.0991523	−	0.0174832i
$805$	1.15552	−	11.1175i	0.0407268	−	0.391839i
$806$	−3.88898	−	2.24530i	−0.136984	−	0.0790875i
$807$	21.0146	−	17.6333i	0.739748	−	0.620723i
$808$	0.328259	+	1.86165i	0.0115481	+	0.0654926i
$809$	−8.11547			−0.285325			−0.142662	−	0.989771i	$-0.545566\pi$
$809$	−8.11547			−0.285325			−0.142662	+	0.989771i	$0.545566\pi$
$810$	−9.89147			−0.347551
$811$	4.56743	+	25.9032i	0.160384	+	0.909584i	0.953697	+	0.300770i	$0.0972436\pi$
$811$	4.56743	+	25.9032i	0.160384	+	0.909584i	−0.793312	+	0.608815i	$0.791645\pi$
$812$	−4.11474	−	16.4226i	−0.144399	−	0.576319i
$813$	45.8401	+	54.6302i	1.60768	+	1.91596i
$814$	−56.7286	−	47.6009i	−1.98834	−	1.66841i
$815$	−2.36013	+	2.81269i	−0.0826717	+	0.0985243i
$816$	37.8129	−	21.8313i	1.32371	−	0.764247i
$817$	−17.3311	+	44.2247i	−0.606338	+	1.54723i
$818$		−	6.66991i		−	0.233208i
$819$	−9.64612	+	2.41688i	−0.337063	+	0.0844525i
$820$	0.244777	+	0.0431608i	0.00854798	+	0.00150724i
$821$	−3.17586	−	18.0112i	−0.110838	−	0.628595i	−0.988727	−	0.149730i	$-0.952159\pi$
$821$	−3.17586	−	18.0112i	−0.110838	−	0.628595i	0.877889	−	0.478865i	$-0.158952\pi$
$822$	−0.697274	−	0.122948i	−0.0243202	−	0.00428831i
$823$	−17.4055	+	14.6049i	−0.606716	+	0.509095i	−0.893596	−	0.448871i	$-0.851826\pi$
$823$	−17.4055	+	14.6049i	−0.606716	+	0.509095i	0.286880	+	0.957966i	$0.407382\pi$
$824$		−	4.31932i		−	0.150471i
$825$	10.1468	−	17.5747i	0.353265	−	0.611873i
$826$	25.6380	−	1.82252i	0.892060	−	0.0634135i
$827$	14.3070	−	39.3081i	0.497502	−	1.36688i	−0.396178	−	0.918174i	$-0.629664\pi$
$827$	14.3070	−	39.3081i	0.497502	−	1.36688i	0.893681	−	0.448703i	$-0.148114\pi$
$828$	−5.77911	−	10.0097i	−0.200838	−	0.347862i
$829$	8.20208	−	14.2064i	0.284870	−	0.493409i	−0.687708	−	0.725988i	$-0.741383\pi$
$829$	8.20208	−	14.2064i	0.284870	−	0.493409i	0.972578	+	0.232579i	$0.0747163\pi$
$830$	−27.9217	−	33.2758i	−0.969177	−	1.15502i
$831$	6.22961	−	2.26739i	0.216103	−	0.0786550i
$832$	2.37466	−	1.99258i	0.0823265	−	0.0690802i
$833$	−21.8246	−	8.75917i	−0.756178	−	0.303487i
$834$	−11.8728	+	4.32135i	−0.411122	+	0.149636i
$835$	−44.0161	−	25.4127i	−1.52324	−	0.879443i
$836$	−0.958192	+	39.2191i	−0.0331398	+	1.35642i
$837$	6.02211	+	10.4306i	0.208155	+	0.360534i
$838$	−6.92737	+	39.2871i	−0.239302	+	1.35715i
$839$	1.89393	−	10.7410i	0.0653859	−	0.370822i	−0.934504	−	0.355954i	$-0.884156\pi$
$839$	1.89393	−	10.7410i	0.0653859	−	0.370822i	0.999889	−	0.0148681i	$-0.00473283\pi$
$840$	−14.9291	−	7.26009i	−0.515103	−	0.250497i
$841$	8.48327	+	7.11831i	0.292527	+	0.245459i
$842$	35.8572	+	13.0509i	1.23572	+	0.449765i
$843$	7.02250	+	4.05444i	0.241868	+	0.139642i
$844$			8.00965i			0.275703i
$845$	−19.7689	−	23.5597i	−0.680071	−	0.810477i
$846$	14.8790	+	5.41552i	0.511551	+	0.186189i
$847$	−37.9802	+	52.4024i	−1.30502	+	1.80057i
$848$	−37.3042	+	21.5376i	−1.28103	+	0.739604i
$849$	−16.7689	+	46.0721i	−0.575507	+	1.58119i
$850$	1.35825	−	7.70300i	0.0465875	−	0.264211i
$851$	3.83791	−	10.5446i	0.131562	−	0.361463i
$852$	−21.0141	+	25.0436i	−0.719931	+	0.857981i
$853$	4.40339	+	12.0982i	0.150769	+	0.414235i	0.991968	−	0.126491i	$-0.0403716\pi$
$853$	4.40339	+	12.0982i	0.150769	+	0.414235i	−0.841198	+	0.540727i	$0.818149\pi$
$854$	24.5486	−	33.8703i	0.840034	−	1.15902i
$855$	9.73550	−	48.2846i	0.332947	−	1.65130i
$856$	2.44842	−	4.24079i	0.0836853	−	0.144947i
$857$	−26.6928	−	22.3979i	−0.911807	−	0.765097i	0.0606547	−	0.998159i	$-0.480681\pi$
$857$	−26.6928	−	22.3979i	−0.911807	−	0.765097i	−0.972462	+	0.233062i	$0.925126\pi$
$858$	8.69913	+	23.9007i	0.296983	+	0.815955i
$859$	−11.8950	+	2.09741i	−0.405852	+	0.0715626i	−0.372848	−	0.927893i	$-0.621619\pi$
$859$	−11.8950	+	2.09741i	−0.405852	+	0.0715626i	−0.0330042	+	0.999455i	$0.510507\pi$
$860$	26.4503	−	31.5222i	0.901947	−	1.07490i
$861$	0.429547	+	0.208890i	0.0146389	+	0.00711897i
$862$	18.9091	+	32.7515i	0.644046	+	1.11552i
$863$	33.4423	−	19.3079i	1.13839	−	0.657250i	0.192358	−	0.981325i	$-0.438386\pi$
$863$	33.4423	−	19.3079i	1.13839	−	0.657250i	0.946031	+	0.324075i	$0.105053\pi$
$864$	−28.9903	+	5.11177i	−0.986269	+	0.173906i
$865$	43.8392	−	7.73003i	1.49058	−	0.262829i
$866$	22.9504	−	13.2504i	0.779885	−	0.450267i
$867$	−7.83545	−	13.5714i	−0.266106	−	0.460909i
$868$	0.817643	+	11.5021i	0.0277526	+	0.390406i
$869$	−39.9864	+	47.6540i	−1.35645	+	1.61655i
$870$	53.5425	−	9.44099i	1.81526	−	0.320079i
$871$	−0.195743	−	0.537800i	−0.00663250	−	0.0182227i
$872$	−8.52671	−	7.15476i	−0.288751	−	0.242291i
$873$	19.6482	−	34.0317i	0.664991	−	1.15180i
$874$	−13.0897	+	4.40527i	−0.442764	+	0.149010i
$875$	22.6796	−	10.1290i	0.766710	−	0.342422i
$876$	−14.5983	−	40.1084i	−0.493230	−	1.35514i
$877$	2.88768	−	3.44140i	0.0975100	−	0.116208i	−0.715083	−	0.699040i	$-0.753611\pi$
$877$	2.88768	−	3.44140i	0.0975100	−	0.116208i	0.812593	+	0.582832i	$0.198055\pi$
$878$	1.08612	−	2.98410i	0.0366549	−	0.100708i
$879$	−13.2465	+	75.1246i	−0.446793	+	2.53389i
$880$	−24.1128	+	66.2495i	−0.812844	+	2.23327i
$881$	−19.5809	+	11.3050i	−0.659696	+	0.380876i	−0.792161	−	0.610312i	$-0.791044\pi$
$881$	−19.5809	+	11.3050i	−0.659696	+	0.380876i	0.132465	+	0.991188i	$0.457711\pi$
$882$	44.1792	+	39.5948i	1.48759	+	1.33323i
$883$	−12.9244	−	4.70410i	−0.434941	−	0.158305i	0.115265	−	0.993335i	$-0.463228\pi$
$883$	−12.9244	−	4.70410i	−0.434941	−	0.158305i	−0.550205	+	0.835029i	$0.685451\pi$
$884$	2.71230	+	3.23239i	0.0912245	+	0.108717i
$885$			35.5270i			1.19423i
$886$	63.2934	+	36.5424i	2.12638	+	1.22767i
$887$	−38.4222	−	13.9845i	−1.29009	−	0.469555i	−0.396334	−	0.918107i	$-0.629718\pi$
$887$	−38.4222	−	13.9845i	−1.29009	−	0.469555i	−0.893757	+	0.448552i	$0.851940\pi$
$888$	−12.7669	−	10.7127i	−0.428431	−	0.359496i
$889$	8.87922	−	18.2585i	0.297799	−	0.612372i
$890$	1.48802	−	8.43901i	0.0498787	−	0.282876i
$891$	−2.18470	+	12.3900i	−0.0731901	+	0.415082i
$892$	4.46129	+	7.72718i	0.149375	+	0.258725i
$893$	4.24287	−	6.95106i	0.141982	−	0.232608i
$894$	26.1178	+	15.0791i	0.873509	+	0.504321i
$895$	16.0826	−	5.85359i	0.537583	−	0.195664i
$896$	18.0791	+	5.16154i	0.603982	+	0.172435i
$897$	−2.95239	+	2.47735i	−0.0985773	+	0.0827162i
$898$	−18.2964	+	6.65935i	−0.610559	+	0.222225i
$899$	7.84795	+	9.35282i	0.261744	+	0.311934i
$900$	−4.24659	+	7.35531i	−0.141553	+	0.245177i
$901$	−15.2699	−	26.4482i	−0.508714	−	0.881119i
$902$	0.251209	−	0.690192i	0.00836435	−	0.0229809i
$903$	65.5067	−	44.2949i	2.17993	−	1.47404i
$904$	6.04183	−	10.4647i	0.200948	−	0.348052i
$905$		−	17.3910i		−	0.578097i
$906$	−6.45442	+	5.41591i	−0.214434	+	0.179931i
$907$	5.58381	+	0.984576i	0.185407	+	0.0326923i	0.265581	−	0.964089i	$-0.414436\pi$
$907$	5.58381	+	0.984576i	0.185407	+	0.0326923i	−0.0801735	+	0.996781i	$0.525547\pi$
$908$	3.45719	+	19.6067i	0.114731	+	0.650672i
$909$	9.19586	+	1.62148i	0.305007	+	0.0537810i
$910$	2.82599	−	9.89851i	0.0936807	−	0.328132i
$911$		−	39.4091i		−	1.30568i	−0.757495	−	0.652841i	$-0.773577\pi$
$911$		−	39.4091i		−	1.30568i	0.757495	−	0.652841i	$-0.226423\pi$
$912$	−1.38367	+	56.6340i	−0.0458178	+	1.87534i
$913$	−47.8482	+	27.6252i	−1.58354	+	0.914260i
$914$	19.6148	−	23.3760i	0.648800	−	0.773210i
$915$	44.2927	+	37.1660i	1.46427	+	1.22867i
$916$	9.34665	+	11.1389i	0.308822	+	0.368040i
$917$	−1.44932	+	1.40283i	−0.0478608	+	0.0463255i
$918$	−4.56582	−	25.8940i	−0.150694	−	0.854630i
$919$	−45.6581			−1.50612			−0.753062	−	0.657950i	$-0.771424\pi$
$919$	−45.6581			−1.50612			−0.753062	+	0.657950i	$0.771424\pi$
$920$	−3.86814			−0.127529
$921$	−14.6671	−	83.1815i	−0.483299	−	2.74092i
$922$	8.73676	−	7.33101i	0.287730	−	0.241434i
$923$	5.67583	+	3.27694i	0.186822	+	0.107862i
$924$	38.3281	−	52.8823i	1.26090	−	1.73970i
$925$	−8.12033	+	1.43183i	−0.266995	+	0.0470784i
$926$	20.2444	+	55.6210i	0.665272	+	1.82782i
$927$	−20.0491	−	7.29729i	−0.658500	−	0.239674i
$928$	−28.0412	+	10.2062i	−0.920498	+	0.335034i
$929$	−42.6278	−	7.51643i	−1.39857	−	0.246606i	−0.577016	−	0.816733i	$-0.695783\pi$
$929$	−42.6278	−	7.51643i	−1.39857	−	0.246606i	−0.821557	+	0.570127i	$0.806894\pi$
$930$	−37.0301			−1.21427
$931$	24.4536	−	18.2489i	0.801434	−	0.598083i
$932$	−12.4483			−0.407758
$933$	85.5671	+	15.0878i	2.80134	+	0.493952i
$934$	−20.1743	+	7.34286i	−0.660125	+	0.240266i
$935$	−46.9701	−	17.0957i	−1.53609	−	0.559090i
$936$	1.17703	+	3.23387i	0.0384725	+	0.105702i
$937$	−45.9844	+	8.10829i	−1.50224	+	0.264886i	−0.863428	−	0.504473i	$-0.831687\pi$
$937$	−45.9844	+	8.10829i	−1.50224	+	0.264886i	−0.638817	+	0.769359i	$0.720576\pi$
$938$	−2.00370	+	2.76456i	−0.0654231	+	0.0902661i
$939$	−31.3315	−	18.0893i	−1.02246	−	0.590320i
$940$	−5.40441	+	4.53484i	−0.176273	+	0.147910i
$941$	−2.23252	−	12.6612i	−0.0727781	−	0.412745i	−0.999331	−	0.0365798i	$-0.988354\pi$
$941$	−2.23252	−	12.6612i	−0.0727781	−	0.412745i	0.926553	−	0.376165i	$-0.122757\pi$
$942$	28.9084			0.941885
$943$	0.111296			0.00362429
$944$	−4.26581	−	24.1926i	−0.138840	−	0.787402i
$945$	−19.8384	+	19.2021i	−0.645344	+	0.624643i
$946$	−78.1619	−	93.1497i	−2.54126	−	3.02856i
$947$	6.66819	+	5.59528i	0.216687	+	0.181822i	0.744670	−	0.667433i	$-0.232607\pi$
$947$	6.66819	+	5.59528i	0.216687	+	0.181822i	−0.527983	+	0.849255i	$0.677051\pi$
$948$	27.8354	−	33.1729i	0.904052	−	1.07741i
$949$	−7.41030	+	4.27834i	−0.240549	+	0.138881i
$950$	7.61263	+	6.71133i	0.246986	+	0.217744i
$951$			18.8746i			0.612050i
$952$	−2.23422	+	7.82574i	−0.0724116	+	0.253634i
$953$	−1.25278	−	0.220898i	−0.0405814	−	0.00715559i	0.153321	−	0.988176i	$-0.451003\pi$
$953$	−1.25278	−	0.220898i	−0.0405814	−	0.00715559i	−0.193902	+	0.981021i	$0.562114\pi$
$954$	13.3784	+	75.8724i	0.433140	+	2.45646i
$955$	14.2694	+	2.51609i	0.461748	+	0.0814187i
$956$	−29.4145	+	24.6817i	−0.951334	+	0.798264i
$957$		−	69.1524i		−	2.23538i
$958$	−23.6368	+	40.9402i	−0.763672	+	1.32272i
$959$	0.301932	−	0.204163i	0.00974988	−	0.00659276i
$960$	8.74278	−	24.0206i	0.282172	−	0.775261i
$961$	11.3422	+	19.6452i	0.365876	+	0.633717i
$962$	5.16724	−	8.94992i	0.166598	−	0.288557i
$963$	−15.5481	−	18.5295i	−0.501031	−	0.597106i
$964$	38.4037	−	13.9778i	1.23690	−	0.450194i
$965$	−46.3297	+	38.8752i	−1.49141	+	1.25144i
$966$	22.1092	+	6.31212i	0.711353	+	0.203089i
$967$	47.3977	−	17.2513i	1.52421	−	0.554766i	0.562012	−	0.827129i	$-0.310027\pi$
$967$	47.3977	−	17.2513i	1.52421	−	0.554766i	0.962195	+	0.272363i	$0.0878051\pi$
$968$	19.3965	+	11.1986i	0.623427	+	0.359936i
$969$	−40.1528	−	0.981003i	−1.28989	−	0.0315144i
$970$	20.3392	+	35.2285i	0.653052	+	1.13112i
$971$	−3.89518	+	22.0906i	−0.125002	+	0.708922i	0.856304	+	0.516471i	$0.172755\pi$
$971$	−3.89518	+	22.0906i	−0.125002	+	0.708922i	−0.981307	+	0.192451i	$0.938356\pi$
$972$	4.80929	−	27.2748i	0.154258	−	0.874841i
$973$	2.84447	−	5.84915i	0.0911895	−	0.187515i
$974$	−18.8053	−	15.7795i	−0.602559	−	0.505607i
$975$	2.66124	+	0.968612i	0.0852279	+	0.0310204i
$976$	−34.6243	−	19.9904i	−1.10830	−	0.639876i
$977$			45.0887i			1.44252i	0.692667	+	0.721258i	$0.256436\pi$
$977$			45.0887i			1.44252i	−0.692667	+	0.721258i	$0.743564\pi$
$978$	−4.85495	−	5.78591i	−0.155244	−	0.185013i
$979$	−10.2420	−	3.72779i	−0.327337	−	0.119141i
$980$	−25.1205	+	8.22631i	−0.802446	+	0.262780i
$981$	−47.6160	+	27.4911i	−1.52026	+	0.877723i
$982$	1.36395	−	3.74743i	0.0435255	−	0.119585i
$983$	−1.68662	+	9.56532i	−0.0537949	+	0.305086i	−0.999819	−	0.0190093i	$-0.993949\pi$
$983$	−1.68662	+	9.56532i	−0.0537949	+	0.305086i	0.946024	+	0.324095i	$0.105060\pi$
$984$	0.0565354	−	0.155330i	0.00180228	−	0.00495173i
$985$	13.0350	−	15.5345i	0.415331	−	0.494972i
$986$	−9.11611	−	25.0463i	−0.290316	−	0.797637i
$987$	−12.3791	+	5.52865i	−0.394030	+	0.175979i
$988$	−5.41323	+	0.818717i	−0.172218	+	0.0260469i
$989$	9.21283	−	15.9571i	0.292951	−	0.507406i
$990$	96.5952	+	81.0530i	3.07000	+	2.57603i
$991$	2.67080	+	7.33797i	0.0848408	+	0.233098i	0.974857	−	0.222830i	$-0.0715295\pi$
$991$	2.67080	+	7.33797i	0.0848408	+	0.233098i	−0.890016	+	0.455928i	$0.849307\pi$
$992$	20.0157	−	3.52931i	0.635499	−	0.112056i
$993$	48.6723	−	58.0054i	1.54457	−	1.84075i
$994$	−2.77244	−	39.0009i	−0.0879365	−	1.23703i
$995$	30.5793	+	52.9650i	0.969431	+	1.67910i
$996$	33.3081	−	19.2305i	1.05541	−	0.609341i
$997$	−23.6322	+	4.16700i	−0.748440	+	0.131970i	−0.534843	−	0.844952i	$-0.679629\pi$
$997$	−23.6322	+	4.16700i	−0.748440	+	0.131970i	−0.213597	+	0.976922i	$0.568518\pi$
$998$	−24.1524	+	4.25871i	−0.764530	+	0.134807i
$999$	−24.0045	+	13.8590i	−0.759468	+	0.438479i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	133.2.bf.a.33.3	yes	66
7.2	even	3		931.2.be.a.489.9		66
7.3	odd	6		133.2.bb.a.52.9	✓	66
7.4	even	3		931.2.bf.a.717.9		66
7.5	odd	6		931.2.be.b.489.9		66
7.6	odd	2		931.2.bj.a.166.3		66
19.15	odd	18		133.2.bb.a.110.9	yes	66
133.34	even	18		931.2.bf.a.509.9		66
133.53	odd	18		931.2.bj.a.129.3		66
133.72	odd	18		931.2.be.b.832.9		66
133.110	even	18		931.2.be.a.832.9		66
133.129	even	18	inner	133.2.bf.a.129.3	yes	66

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
133.2.bb.a.52.9	✓	66	7.3	odd	6
133.2.bb.a.110.9	yes	66	19.15	odd	18
133.2.bf.a.33.3	yes	66	1.1	even	1	trivial
133.2.bf.a.129.3	yes	66	133.129	even	18	inner
931.2.be.a.489.9		66	7.2	even	3
931.2.be.a.832.9		66	133.110	even	18
931.2.be.b.489.9		66	7.5	odd	6
931.2.be.b.832.9		66	133.72	odd	18
931.2.bf.a.509.9		66	133.34	even	18
931.2.bf.a.717.9		66	7.4	even	3
931.2.bj.a.129.3		66	133.53	odd	18
931.2.bj.a.166.3		66	7.6	odd	2

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 133 = 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	133.bf (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.84540 - 0.325394i) q^{2} +(-2.57736 + 0.938083i) q^{3} +(1.42023 + 0.516922i) q^{4} +(-0.854536 - 2.34782i) q^{5} +(5.06151 - 0.892480i) q^{6} +(-1.55266 + 2.14225i) q^{7} +(0.792944 + 0.457807i) q^{8} +(3.46466 - 2.90719i) q^{9} +O(q^{10})\)	\(q+(-1.84540 - 0.325394i) q^{2} +(-2.57736 + 0.938083i) q^{3} +(1.42023 + 0.516922i) q^{4} +(-0.854536 - 2.34782i) q^{5} +(5.06151 - 0.892480i) q^{6} +(-1.55266 + 2.14225i) q^{7} +(0.792944 + 0.457807i) q^{8} +(3.46466 - 2.90719i) q^{9} +(0.812995 + 4.61072i) q^{10} +5.95494 q^{11} -4.14536 q^{12} +(0.144307 + 0.818407i) q^{13} +(3.56236 - 3.44808i) q^{14} +(4.40490 + 5.24955i) q^{15} +(-3.62990 - 3.04584i) q^{16} +(2.15947 - 2.57355i) q^{17} +(-7.33966 + 4.23756i) q^{18} +(1.39034 + 4.13122i) q^{19} -3.77617i q^{20} +(1.99216 - 6.97788i) q^{21} +(-10.9892 - 1.93770i) q^{22} +(-0.293617 - 1.66519i) q^{23} +(-2.47317 - 0.436086i) q^{24} +(-0.951798 + 0.798653i) q^{25} -1.55724i q^{26} +(-2.08834 + 3.61710i) q^{27} +(-3.31251 + 2.23989i) q^{28} +(-1.44808 + 3.97856i) q^{29} +(-6.42062 - 11.1208i) q^{30} +(1.44184 - 2.49735i) q^{31} +(4.53042 + 5.39914i) q^{32} +(-15.3480 + 5.58623i) q^{33} +(-4.82250 + 4.04655i) q^{34} +(6.35642 + 1.81474i) q^{35} +(6.42341 - 2.33793i) q^{36} +(5.74728 + 3.31819i) q^{37} +(-1.22147 - 8.07615i) q^{38} +(-1.13967 - 1.97396i) q^{39} +(0.397247 - 2.25290i) q^{40} +(-0.0114298 + 0.0648215i) q^{41} +(-5.94689 + 12.2287i) q^{42} +(8.34767 + 7.00453i) q^{43} +(8.45739 + 3.07824i) q^{44} +(-9.78624 - 5.65009i) q^{45} +3.16848i q^{46} +(-1.20091 - 1.43119i) q^{47} +(12.2128 + 4.44510i) q^{48} +(-2.17848 - 6.65238i) q^{49} +(2.01632 - 1.16412i) q^{50} +(-3.15152 + 8.65874i) q^{51} +(-0.218103 + 1.23692i) q^{52} +(3.10913 - 8.54226i) q^{53} +(5.03079 - 5.99547i) q^{54} +(-5.08871 - 13.9811i) q^{55} +(-2.21191 + 0.987867i) q^{56} +(-7.45884 - 9.34338i) q^{57} +(3.96688 - 6.87084i) q^{58} +(3.97141 + 3.33241i) q^{59} +(3.54236 + 9.73256i) q^{60} +(8.30925 - 1.46514i) q^{61} +(-3.47340 + 4.13944i) q^{62} +(0.848495 + 11.9361i) q^{63} +(-1.86509 - 3.23043i) q^{64} +(1.79816 - 1.03817i) q^{65} +(30.1410 - 5.31467i) q^{66} +(-0.678216 + 0.119588i) q^{67} +(4.39727 - 2.53876i) q^{68} +(2.31884 + 4.01635i) q^{69} +(-11.1396 - 5.41726i) q^{70} +(5.06930 - 6.04136i) q^{71} +(4.07822 - 0.719100i) q^{72} +(3.52159 + 9.67549i) q^{73} +(-9.52630 - 7.99351i) q^{74} +(1.70392 - 2.95128i) q^{75} +(-0.160907 + 6.58598i) q^{76} +(-9.24602 + 12.7570i) q^{77} +(1.46082 + 4.01358i) q^{78} +(-6.71483 + 8.00242i) q^{79} +(-4.04921 + 11.1251i) q^{80} +(-0.366871 + 2.08063i) q^{81} +(0.0421850 - 0.115902i) q^{82} +(-8.03504 + 4.63903i) q^{83} +(6.43635 - 8.88041i) q^{84} +(-7.88758 - 2.87084i) q^{85} +(-13.1256 - 15.6424i) q^{86} -11.6126i q^{87} +(4.72194 + 2.72621i) q^{88} +(-1.71992 - 0.626000i) q^{89} +(16.2210 + 13.6110i) q^{90} +(-1.97729 - 0.961568i) q^{91} +(0.443767 - 2.51673i) q^{92} +(-1.37344 + 7.78914i) q^{93} +(1.75046 + 3.03188i) q^{94} +(8.51125 - 6.79455i) q^{95} +(-16.7414 - 9.66563i) q^{96} +(8.16455 - 2.97165i) q^{97} +(1.85552 + 12.9852i) q^{98} +(20.6319 - 17.3122i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9}+O(q^{10}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9	\( 66 q - 3 q^{2} - 9 q^{3} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 18 q^{8} - 3 q^{9} - 9 q^{10} - 12 q^{11} + 6 q^{12} - 30 q^{13} - 15 q^{14} + 9 q^{15} - 15 q^{16} + 18 q^{17} + 36 q^{18} + 12 q^{19} - 30 q^{21} - 3 q^{23} - 36 q^{24} - 27 q^{25} + 12 q^{27} - 33 q^{28} - 6 q^{29} + 3 q^{30} - 9 q^{31} + 60 q^{32} - 9 q^{33} - 36 q^{34} + 9 q^{35} + 27 q^{36} - 36 q^{37} + 18 q^{38} + 12 q^{39} + 9 q^{40} + 54 q^{41} - 9 q^{42} + 12 q^{43} + 18 q^{44} - 27 q^{45} + 45 q^{47} + 63 q^{48} - 45 q^{49} - 63 q^{50} - 3 q^{51} + 57 q^{52} + 27 q^{53} - 9 q^{54} - 45 q^{55} - 54 q^{56} - 54 q^{57} + 30 q^{58} + 36 q^{59} - 78 q^{60} - 42 q^{61} - 45 q^{62} + 57 q^{63} - 36 q^{64} + 45 q^{65} + 9 q^{66} + 30 q^{67} - 9 q^{68} + 69 q^{70} - 6 q^{71} - 6 q^{72} + 60 q^{73} + 9 q^{74} - 21 q^{75} + 54 q^{76} - 18 q^{77} + 3 q^{78} + 27 q^{79} - 45 q^{80} + 24 q^{81} - 9 q^{82} + 36 q^{83} + 99 q^{84} - 48 q^{85} - 48 q^{86} - 9 q^{88} - 9 q^{89} - 18 q^{90} + 24 q^{91} + 48 q^{92} - 3 q^{93} + 90 q^{94} - 75 q^{95} + 63 q^{96} - 27 q^{97} + 96 q^{98} + 48 q^{99}+O(q^{100}) \) 66 * q - 3 * q^2 - 9 * q^3 - 3 * q^4 - 9 * q^5 + 3 * q^7 - 18 * q^8 - 3 * q^9 - 9 * q^10 - 12 * q^11 + 6 * q^12 - 30 * q^13 - 15 * q^14 + 9 * q^15 - 15 * q^16 + 18 * q^17 + 36 * q^18 + 12 * q^19 - 30 * q^21 - 3 * q^23 - 36 * q^24 - 27 * q^25 + 12 * q^27 - 33 * q^28 - 6 * q^29 + 3 * q^30 - 9 * q^31 + 60 * q^32 - 9 * q^33 - 36 * q^34 + 9 * q^35 + 27 * q^36 - 36 * q^37 + 18 * q^38 + 12 * q^39 + 9 * q^40 + 54 * q^41 - 9 * q^42 + 12 * q^43 + 18 * q^44 - 27 * q^45 + 45 * q^47 + 63 * q^48 - 45 * q^49 - 63 * q^50 - 3 * q^51 + 57 * q^52 + 27 * q^53 - 9 * q^54 - 45 * q^55 - 54 * q^56 - 54 * q^57 + 30 * q^58 + 36 * q^59 - 78 * q^60 - 42 * q^61 - 45 * q^62 + 57 * q^63 - 36 * q^64 + 45 * q^65 + 9 * q^66 + 30 * q^67 - 9 * q^68 + 69 * q^70 - 6 * q^71 - 6 * q^72 + 60 * q^73 + 9 * q^74 - 21 * q^75 + 54 * q^76 - 18 * q^77 + 3 * q^78 + 27 * q^79 - 45 * q^80 + 24 * q^81 - 9 * q^82 + 36 * q^83 + 99 * q^84 - 48 * q^85 - 48 * q^86 - 9 * q^88 - 9 * q^89 - 18 * q^90 + 24 * q^91 + 48 * q^92 - 3 * q^93 + 90 * q^94 - 75 * q^95 + 63 * q^96 - 27 * q^97 + 96 * q^98 + 48 * q^99

Introduction

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