LMFDB - Embedded newform 402.2.j.b.53.6

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [402,2,Mod(5,402)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(402, base_ring=CyclotomicField(22))

chi = DirichletCharacter(H, H._module([11, 5]))

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

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

chi := DirichletCharacter("402.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 402 = 2 \cdot 3 \cdot 67 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	402.j (of order $22$, degree $10$, 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:	$3.20998616126$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$12$ over $\Q(\zeta_{22})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label			53.6
Character	$\chi$	$=$	402.53
Dual form			402.2.j.b.311.6

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.415415 - 0.909632i) q^{2} +(0.158062 + 1.72482i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-0.574881 - 3.99839i) q^{5} +(1.50329 - 0.860296i) q^{6} +(-3.24959 + 1.48404i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.95003 + 0.545259i) q^{9} +O(q^{10})$	\(q+(-0.415415 - 0.909632i) q^{2} +(0.158062 + 1.72482i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-0.574881 - 3.99839i) q^{5} +(1.50329 - 0.860296i) q^{6} +(-3.24959 + 1.48404i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.95003 + 0.545259i) q^{9} +(-3.39825 + 2.18392i) q^{10} +(0.751085 + 5.22391i) q^{11} +(-1.40704 - 1.01006i) q^{12} +(0.912384 + 3.10729i) q^{13} +(2.69985 + 2.33944i) q^{14} +(6.80564 - 1.62356i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-2.70955 + 2.34784i) q^{17} +(1.72147 + 2.45694i) q^{18} +(-0.652079 + 1.42785i) q^{19} +(3.39825 + 2.18392i) q^{20} +(-3.07334 - 5.37039i) q^{21} +(4.43983 - 2.85330i) q^{22} +(1.63263 - 2.54042i) q^{23} +(-0.334279 + 1.69949i) q^{24} +(-10.8591 + 3.18853i) q^{25} +(2.44748 - 2.12075i) q^{26} +(-1.40676 - 5.00210i) q^{27} +(1.00647 - 3.42771i) q^{28} +5.61944i q^{29} +(-4.30401 - 5.51618i) q^{30} +(-0.924585 + 3.14885i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(-8.89161 + 2.12119i) q^{33} +(3.26126 + 1.48937i) q^{34} +(7.80188 + 12.1400i) q^{35} +(1.51978 - 2.58655i) q^{36} -5.13058 q^{37} +1.56970 q^{38} +(-5.21532 + 2.06485i) q^{39} +(0.574881 - 3.99839i) q^{40} +(-5.59745 - 6.45980i) q^{41} +(-3.60837 + 5.02655i) q^{42} +(-2.21972 + 1.92340i) q^{43} +(-4.43983 - 2.85330i) q^{44} +(3.87607 + 11.4819i) q^{45} +(-2.98907 - 0.429763i) q^{46} +(4.97652 - 7.74362i) q^{47} +(1.68477 - 0.401921i) q^{48} +(3.77343 - 4.35477i) q^{49} +(7.41144 + 8.55326i) q^{50} +(-4.47788 - 4.30239i) q^{51} +(-2.94582 - 1.34531i) q^{52} +(4.54019 - 5.23966i) q^{53} +(-3.96568 + 3.35759i) q^{54} +(20.4554 - 6.00626i) q^{55} +(-3.53606 + 0.508408i) q^{56} +(-2.56586 - 0.899031i) q^{57} +(5.11162 - 2.33440i) q^{58} +(-1.82827 + 6.22651i) q^{59} +(-3.22974 + 6.20657i) q^{60} +(-2.89768 - 0.416624i) q^{61} +(3.24838 - 0.467046i) q^{62} +(8.77720 - 6.14982i) q^{63} +(0.841254 + 0.540641i) q^{64} +(11.8996 - 5.43439i) q^{65} +(5.62321 + 7.20692i) q^{66} +(6.52982 - 4.93573i) q^{67} -3.58525i q^{68} +(4.63984 + 2.41445i) q^{69} +(7.80188 - 12.1400i) q^{70} +(-3.86135 - 3.34588i) q^{71} +(-2.98415 - 0.307948i) q^{72} +(-0.974893 + 6.78053i) q^{73} +(2.13132 + 4.66694i) q^{74} +(-7.21607 - 18.2261i) q^{75} +(-0.652079 - 1.42785i) q^{76} +(-10.1932 - 15.8609i) q^{77} +(4.04477 + 3.88625i) q^{78} +(4.74975 + 16.1762i) q^{79} +(-3.87587 + 1.13806i) q^{80} +(8.40538 - 3.21706i) q^{81} +(-3.55078 + 7.77512i) q^{82} +(-16.1300 + 2.31915i) q^{83} +(6.07128 + 1.19419i) q^{84} +(10.9452 + 9.48410i) q^{85} +(2.67169 + 1.22012i) q^{86} +(-9.69254 + 0.888222i) q^{87} +(-0.751085 + 5.22391i) q^{88} +(4.47192 + 6.95844i) q^{89} +(8.83413 - 8.29556i) q^{90} +(-7.57621 - 8.74341i) q^{91} +(0.850778 + 2.89748i) q^{92} +(-5.57735 - 1.09703i) q^{93} +(-9.11116 - 1.30999i) q^{94} +(6.08397 + 1.78642i) q^{95} +(-1.06548 - 1.36556i) q^{96} -9.69234i q^{97} +(-5.52878 - 1.62340i) q^{98} +(-5.06411 - 15.0012i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q + 12 q^{2} - q^{3} - 12 q^{4} + q^{6} + 12 q^{8} - 5 q^{9}+O(q^{10}) $ 120 * q + 12 * q^2 - q^3 - 12 * q^4 + q^6 + 12 * q^8 - 5 * q^9	$ 120 q + 12 q^{2} - q^{3} - 12 q^{4} + q^{6} + 12 q^{8} - 5 q^{9} - 6 q^{11} - q^{12} + 33 q^{14} + 4 q^{15} - 12 q^{16} - 33 q^{17} - 6 q^{18} - 2 q^{19} - 55 q^{21} + 6 q^{22} + 22 q^{23} - 10 q^{24} - 24 q^{25} - 22 q^{26} + 5 q^{27} - 4 q^{30} - 22 q^{31} + 12 q^{32} + 11 q^{33} + 22 q^{35} - 5 q^{36} + 22 q^{37} - 20 q^{38} + 27 q^{39} + 8 q^{41} - 11 q^{42} + 22 q^{43} - 6 q^{44} - 9 q^{45} - 12 q^{48} + 2 q^{49} + 46 q^{50} - 6 q^{51} - 33 q^{52} - 22 q^{53} + 6 q^{54} - 36 q^{55} + 4 q^{57} - 22 q^{58} + 33 q^{59} + 4 q^{60} + 22 q^{61} - 55 q^{62} - 19 q^{63} - 12 q^{64} + 11 q^{66} - 14 q^{67} + 10 q^{69} + 22 q^{70} - 6 q^{72} - 79 q^{73} + 44 q^{74} + 46 q^{75} - 2 q^{76} + 44 q^{77} + 6 q^{78} - 77 q^{79} - 253 q^{81} - 19 q^{82} + 99 q^{83} + 33 q^{84} - 80 q^{87} + 6 q^{88} + 22 q^{89} - 13 q^{90} + 8 q^{91} + 67 q^{93} - 22 q^{94} + 62 q^{95} + q^{96} - 2 q^{98} - 19 q^{99}+O(q^{100}) $ 120 * q + 12 * q^2 - q^3 - 12 * q^4 + q^6 + 12 * q^8 - 5 * q^9 - 6 * q^11 - q^12 + 33 * q^14 + 4 * q^15 - 12 * q^16 - 33 * q^17 - 6 * q^18 - 2 * q^19 - 55 * q^21 + 6 * q^22 + 22 * q^23 - 10 * q^24 - 24 * q^25 - 22 * q^26 + 5 * q^27 - 4 * q^30 - 22 * q^31 + 12 * q^32 + 11 * q^33 + 22 * q^35 - 5 * q^36 + 22 * q^37 - 20 * q^38 + 27 * q^39 + 8 * q^41 - 11 * q^42 + 22 * q^43 - 6 * q^44 - 9 * q^45 - 12 * q^48 + 2 * q^49 + 46 * q^50 - 6 * q^51 - 33 * q^52 - 22 * q^53 + 6 * q^54 - 36 * q^55 + 4 * q^57 - 22 * q^58 + 33 * q^59 + 4 * q^60 + 22 * q^61 - 55 * q^62 - 19 * q^63 - 12 * q^64 + 11 * q^66 - 14 * q^67 + 10 * q^69 + 22 * q^70 - 6 * q^72 - 79 * q^73 + 44 * q^74 + 46 * q^75 - 2 * q^76 + 44 * q^77 + 6 * q^78 - 77 * q^79 - 253 * q^81 - 19 * q^82 + 99 * q^83 + 33 * q^84 - 80 * q^87 + 6 * q^88 + 22 * q^89 - 13 * q^90 + 8 * q^91 + 67 * q^93 - 22 * q^94 + 62 * q^95 + q^96 - 2 * q^98 - 19 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/402\mathbb{Z}\right)^\times$.

$n$	$269$	$337$
$\chi(n)$	$-1$	$e\left(\frac{19}{22}\right)$

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 $

$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$2$	−0.415415	−	0.909632i	−0.293743	−	0.643207i
$3$	0.158062	+	1.72482i	0.0912573	+	0.995827i
$3$	0.158062	+	1.72482i	0.0912573	+	0.995827i
$4$	−0.654861	+	0.755750i	−0.327430	+	0.377875i
$5$	−0.574881	−	3.99839i	−0.257095	−	1.78813i	−0.553273	−	0.833000i	$-0.686621\pi$
$5$	−0.574881	−	3.99839i	−0.257095	−	1.78813i	0.296178	−	0.955133i	$-0.404288\pi$
$6$	1.50329	−	0.860296i	0.613717	−	0.351214i
$7$	−3.24959	+	1.48404i	−1.22823	+	0.560913i	−0.920568	−	0.390583i	$-0.872273\pi$
$7$	−3.24959	+	1.48404i	−1.22823	+	0.560913i	−0.307661	+	0.951496i	$0.599546\pi$
$8$	0.959493	+	0.281733i	0.339232	+	0.0996075i
$9$	−2.95003	+	0.545259i	−0.983344	+	0.181753i
$10$	−3.39825	+	2.18392i	−1.07462	+	0.690616i
$11$	0.751085	+	5.22391i	0.226461	+	1.57507i	0.712844	+	0.701323i	$0.247407\pi$
$11$	0.751085	+	5.22391i	0.226461	+	1.57507i	−0.486383	+	0.873746i	$0.661684\pi$
$12$	−1.40704	−	1.01006i	−0.406178	−	0.291580i
$13$	0.912384	+	3.10729i	0.253050	+	0.861808i	0.983816	+	0.179181i	$0.0573446\pi$
$13$	0.912384	+	3.10729i	0.253050	+	0.861808i	−0.730767	+	0.682627i	$0.760837\pi$
$14$	2.69985	+	2.33944i	0.721567	+	0.625241i
$15$	6.80564	−	1.62356i	1.75721	−	0.419202i
$16$	−0.142315	−	0.989821i	−0.0355787	−	0.247455i
$17$	−2.70955	+	2.34784i	−0.657162	+	0.569434i	−0.918309	−	0.395865i	$-0.870445\pi$
$17$	−2.70955	+	2.34784i	−0.657162	+	0.569434i	0.261146	+	0.965299i	$0.415899\pi$
$18$	1.72147	+	2.45694i	0.405755	+	0.579105i
$19$	−0.652079	+	1.42785i	−0.149597	+	0.327572i	−0.969564	−	0.244840i	$-0.921265\pi$
$19$	−0.652079	+	1.42785i	−0.149597	+	0.327572i	0.819967	+	0.572411i	$0.193992\pi$
$20$	3.39825	+	2.18392i	0.759871	+	0.488339i
$21$	−3.07334	−	5.37039i	−0.670658	−	1.17192i
$22$	4.43983	−	2.85330i	0.946574	−	0.608326i
$23$	1.63263	−	2.54042i	0.340427	−	0.529715i	−0.628259	−	0.778004i	$-0.716232\pi$
$23$	1.63263	−	2.54042i	0.340427	−	0.529715i	0.968686	+	0.248290i	$0.0798685\pi$
$24$	−0.334279	+	1.69949i	−0.0682345	+	0.346906i
$25$	−10.8591	+	3.18853i	−2.17183	+	0.637706i
$26$	2.44748	−	2.12075i	0.479989	−	0.415913i
$27$	−1.40676	−	5.00210i	−0.270732	−	0.962655i
$28$	1.00647	−	3.42771i	0.190204	−	0.647777i
$29$			5.61944i			1.04350i	0.853097	+	0.521752i	$0.174721\pi$
$29$			5.61944i			1.04350i	−0.853097	+	0.521752i	$0.825279\pi$
$30$	−4.30401	−	5.51618i	−0.785801	−	1.00711i
$31$	−0.924585	+	3.14885i	−0.166060	+	0.565550i	0.833848	+	0.551995i	$0.186133\pi$
$31$	−0.924585	+	3.14885i	−0.166060	+	0.565550i	−0.999908	+	0.0135552i	$0.995685\pi$
$32$	−0.841254	+	0.540641i	−0.148714	+	0.0955727i
$33$	−8.89161	+	2.12119i	−1.54783	+	0.369252i
$34$	3.26126	+	1.48937i	0.559301	+	0.255424i
$35$	7.80188	+	12.1400i	1.31876	+	2.05203i
$36$	1.51978	−	2.58655i	0.253297	−	0.431092i
$37$	−5.13058			−0.843462			−0.421731	−	0.906721i	$-0.638577\pi$
$37$	−5.13058			−0.843462			−0.421731	+	0.906721i	$0.638577\pi$
$38$	1.56970			0.254640
$39$	−5.21532	+	2.06485i	−0.835119	+	0.330640i
$40$	0.574881	−	3.99839i	0.0908967	−	0.632200i
$41$	−5.59745	−	6.45980i	−0.874175	−	1.00885i	−0.999859	−	0.0167811i	$-0.994658\pi$
$41$	−5.59745	−	6.45980i	−0.874175	−	1.00885i	0.125684	−	0.992070i	$-0.459887\pi$
$42$	−3.60837	+	5.02655i	−0.556784	+	0.775614i
$43$	−2.21972	+	1.92340i	−0.338504	+	0.293315i	−0.807479	−	0.589896i	$-0.799169\pi$
$43$	−2.21972	+	1.92340i	−0.338504	+	0.293315i	0.468975	+	0.883211i	$0.344623\pi$
$44$	−4.43983	−	2.85330i	−0.669329	−	0.430152i
$45$	3.87607	+	11.4819i	0.577811	+	1.71162i
$46$	−2.98907	−	0.429763i	−0.440714	−	0.0633651i
$47$	4.97652	−	7.74362i	0.725900	−	1.12952i	−0.260550	−	0.965460i	$-0.583904\pi$
$47$	4.97652	−	7.74362i	0.725900	−	1.12952i	0.986450	−	0.164062i	$-0.0524598\pi$
$48$	1.68477	−	0.401921i	0.243176	−	0.0580124i
$49$	3.77343	−	4.35477i	0.539061	−	0.622110i
$50$	7.41144	+	8.55326i	1.04814	+	1.20961i
$51$	−4.47788	−	4.30239i	−0.627029	−	0.602455i
$52$	−2.94582	−	1.34531i	−0.408512	−	0.186561i
$53$	4.54019	−	5.23966i	0.623643	−	0.719722i	−0.352752	−	0.935717i	$-0.614754\pi$
$53$	4.54019	−	5.23966i	0.623643	−	0.719722i	0.976395	+	0.215995i	$0.0692994\pi$
$54$	−3.96568	+	3.35759i	−0.539661	+	0.456910i
$55$	20.4554	−	6.00626i	2.75821	−	0.809883i
$56$	−3.53606	+	0.508408i	−0.472526	+	0.0679389i
$57$	−2.56586	−	0.899031i	−0.339857	−	0.119080i
$58$	5.11162	−	2.33440i	0.671189	−	0.306522i
$59$	−1.82827	+	6.22651i	−0.238020	+	0.810623i	0.750673	+	0.660674i	$0.229729\pi$
$59$	−1.82827	+	6.22651i	−0.238020	+	0.810623i	−0.988694	+	0.149949i	$0.952089\pi$
$60$	−3.22974	+	6.20657i	−0.416958	+	0.801265i
$61$	−2.89768	−	0.416624i	−0.371010	−	0.0533433i	−0.0457120	−	0.998955i	$-0.514556\pi$
$61$	−2.89768	−	0.416624i	−0.371010	−	0.0533433i	−0.325298	+	0.945611i	$0.605465\pi$
$62$	3.24838	−	0.467046i	0.412545	−	0.0593150i
$63$	8.77720	−	6.14982i	1.10582	−	0.774805i
$64$	0.841254	+	0.540641i	0.105157	+	0.0675801i
$65$	11.8996	−	5.43439i	1.47597	−	0.674053i
$66$	5.62321	+	7.20692i	0.692170	+	0.887110i
$67$	6.52982	−	4.93573i	0.797745	−	0.602995i
$67$	6.52982	−	4.93573i	0.797745	−	0.602995i
$68$		−	3.58525i		−	0.434775i
$69$	4.63984	+	2.41445i	0.558571	+	0.290666i
$70$	7.80188	−	12.1400i	0.932503	−	1.45100i
$71$	−3.86135	−	3.34588i	−0.458258	−	0.397083i	0.394909	−	0.918720i	$-0.370776\pi$
$71$	−3.86135	−	3.34588i	−0.458258	−	0.397083i	−0.853167	+	0.521637i	$0.825321\pi$
$72$	−2.98415	−	0.307948i	−0.351686	−	0.0362920i
$73$	−0.974893	+	6.78053i	−0.114103	+	0.793601i	0.849754	+	0.527180i	$0.176750\pi$
$73$	−0.974893	+	6.78053i	−0.114103	+	0.793601i	−0.963857	+	0.266422i	$0.914159\pi$
$74$	2.13132	+	4.66694i	0.247761	+	0.542521i
$75$	−7.21607	−	18.2261i	−0.833240	−	2.10457i
$76$	−0.652079	−	1.42785i	−0.0747985	−	0.163786i
$77$	−10.1932	−	15.8609i	−1.16162	−	1.80752i
$78$	4.04477	+	3.88625i	0.457980	+	0.440031i
$79$	4.74975	+	16.1762i	0.534389	+	1.81996i	0.571436	+	0.820647i	$0.306387\pi$
$79$	4.74975	+	16.1762i	0.534389	+	1.81996i	−0.0370469	+	0.999314i	$0.511795\pi$
$80$	−3.87587	+	1.13806i	−0.433336	+	0.127239i
$81$	8.40538	−	3.21706i	0.933932	−	0.357452i
$82$	−3.55078	+	7.77512i	−0.392118	+	0.858618i
$83$	−16.1300	+	2.31915i	−1.77050	+	0.254559i	−0.948916	−	0.315528i	$-0.897818\pi$
$83$	−16.1300	+	2.31915i	−1.77050	+	0.254559i	−0.821584	+	0.570088i	$0.806909\pi$
$84$	6.07128	+	1.19419i	0.662431	+	0.130296i
$85$	10.9452	+	9.48410i	1.18718	+	1.02869i
$86$	2.67169	+	1.22012i	0.288095	+	0.131569i
$87$	−9.69254	+	0.888222i	−1.03915	+	0.0952274i
$88$	−0.751085	+	5.22391i	−0.0800659	+	0.556871i
$89$	4.47192	+	6.95844i	0.474022	+	0.737593i	0.993117	−	0.117123i	$-0.0373673\pi$
$89$	4.47192	+	6.95844i	0.474022	+	0.737593i	−0.519095	+	0.854716i	$0.673731\pi$
$90$	8.83413	−	8.29556i	0.931199	−	0.874429i
$91$	−7.57621	−	8.74341i	−0.794202	−	0.916558i
$92$	0.850778	+	2.89748i	0.0886997	+	0.302083i
$93$	−5.57735	−	1.09703i	−0.578344	−	0.113757i
$94$	−9.11116	−	1.30999i	−0.939745	−	0.135115i
$95$	6.08397	+	1.78642i	0.624203	+	0.183282i
$96$	−1.06548	−	1.36556i	−0.108745	−	0.139372i
$97$		−	9.69234i		−	0.984108i	−0.870565	−	0.492054i	$-0.836246\pi$
$97$		−	9.69234i		−	0.984108i	0.870565	−	0.492054i	$-0.163754\pi$
$98$	−5.52878	−	1.62340i	−0.558491	−	0.163988i
$99$	−5.06411	−	15.0012i	−0.508962	−	1.50767i
$100$	4.70149	−	10.2948i	0.470149	−	1.02948i
$101$	4.54995	−	9.96300i	0.452737	−	0.991356i	−0.536346	−	0.843998i	$-0.680196\pi$
$101$	4.54995	−	9.96300i	0.452737	−	0.991356i	0.989083	−	0.147358i	$-0.0470769\pi$
$102$	−2.05341	+	5.86051i	−0.203318	+	0.580276i
$103$	−0.0201777	−	0.00592470i	−0.00198817	−	0.000583778i	0.280738	−	0.959784i	$-0.409421\pi$
$103$	−0.0201777	−	0.00592470i	−0.00198817	−	0.000583778i	−0.282726	+	0.959201i	$0.591239\pi$
$104$			3.23847i			0.317558i
$105$	−19.7061	+	15.3757i	−1.92312	+	1.50052i
$106$	−6.65222	−	1.95327i	−0.646121	−	0.189718i
$107$	14.6299	+	2.10346i	1.41432	+	0.203349i	0.806739	−	0.590908i	$-0.201230\pi$
$107$	14.6299	+	2.10346i	1.41432	+	0.203349i	0.607583	+	0.794256i	$0.292139\pi$
$108$	4.70157	+	2.21252i	0.452409	+	0.212900i
$109$	1.51114	+	5.14648i	0.144741	+	0.492943i	0.999667	−	0.0258073i	$-0.00821562\pi$
$109$	1.51114	+	5.14648i	0.144741	+	0.492943i	−0.854926	+	0.518750i	$0.826397\pi$
$110$	−13.9610	−	16.1118i	−1.33113	−	1.53620i
$111$	−0.810952	−	8.84935i	−0.0769721	−	0.839943i
$112$	1.93140	+	3.00531i	0.182500	+	0.283975i
$113$	0.691446	−	4.80911i	0.0650457	−	0.452403i	−0.931105	−	0.364750i	$-0.881154\pi$
$113$	0.691446	−	4.80911i	0.0650457	−	0.452403i	0.996151	−	0.0876527i	$-0.0279366\pi$
$114$	0.248111	+	2.70746i	0.0232377	+	0.253577i
$115$	−11.0962	−	5.06745i	−1.03472	−	0.472542i
$116$	−4.24689	−	3.67995i	−0.394314	−	0.341675i
$117$	−4.38584	−	8.66913i	−0.405471	−	0.801461i
$118$	6.42332	−	0.923535i	0.591315	−	0.0850183i
$119$	5.32064	−	11.6506i	0.487742	−	1.06801i
$120$	6.98738	+	0.359574i	0.637857	+	0.0328245i
$121$	−16.1707	+	4.74815i	−1.47006	+	0.431650i
$122$	0.824767	+	2.80890i	0.0746709	+	0.254306i
$123$	10.2573	−	10.6757i	0.924867	−	0.962592i
$124$	−1.77427	−	2.76081i	−0.159334	−	0.247928i
$125$	10.6013	+	23.2137i	0.948212	+	2.07630i
$126$	−9.24026	−	5.42930i	−0.823188	−	0.483680i
$127$	5.94224	+	13.0117i	0.527289	+	1.15460i	0.966606	+	0.256269i	$0.0824933\pi$
$127$	5.94224	+	13.0117i	0.527289	+	1.15460i	−0.439317	+	0.898332i	$0.644779\pi$
$128$	0.142315	−	0.989821i	0.0125790	−	0.0874887i
$129$	−3.66837	−	3.52461i	−0.322982	−	0.310324i
$130$	−9.88658	−	8.56677i	−0.867111	−	0.751356i
$131$	0.324721	−	0.505275i	0.0283710	−	0.0441461i	−0.826778	−	0.562528i	$-0.809829\pi$
$131$	0.324721	−	0.505275i	0.0283710	−	0.0441461i	0.855149	+	0.518382i	$0.173465\pi$
$132$	4.21967	−	8.10891i	0.367275	−	0.705790i
$133$		−	5.60764i		−	0.486244i
$134$	−7.20228	−	3.88936i	−0.622183	−	0.335989i
$135$	−19.1916	+	8.50040i	−1.65175	+	0.731598i
$136$	−3.26126	+	1.48937i	−0.279650	+	0.127712i
$137$	−7.34761	−	4.72202i	−0.627748	−	0.403429i	0.187727	−	0.982221i	$-0.439888\pi$
$137$	−7.34761	−	4.72202i	−0.627748	−	0.403429i	−0.815475	+	0.578792i	$0.803524\pi$
$138$	0.268807	−	5.22355i	0.0228823	−	0.444658i
$139$	−19.1517	+	2.75360i	−1.62443	+	0.233558i	−0.893555	−	0.448955i	$-0.851796\pi$
$139$	−19.1517	+	2.75360i	−1.62443	+	0.233558i	−0.730874	+	0.682512i	$0.760887\pi$
$140$	−14.2839	−	2.05372i	−1.20721	−	0.173571i
$141$	14.1430	+	7.35965i	1.19105	+	0.619794i
$142$	−1.43946	+	4.90234i	−0.120797	+	0.411395i
$143$	−15.5469	+	7.10005i	−1.30010	+	0.593736i
$144$	0.959543	+	2.84241i	0.0799619	+	0.236867i
$145$	22.4687	−	3.23051i	1.86592	−	0.268279i
$146$	6.57277	−	1.92994i	0.543967	−	0.159723i
$147$	8.10764	+	5.82017i	0.668707	+	0.480040i
$148$	3.35982	−	3.87743i	0.276175	−	0.318723i
$149$	8.34365	+	3.81042i	0.683538	+	0.312161i	0.726748	−	0.686905i	$-0.241031\pi$
$149$	8.34365	+	3.81042i	0.683538	+	0.312161i	−0.0432094	+	0.999066i	$0.513758\pi$
$150$	−13.5814	+	14.1354i	−1.10892	+	1.15415i
$151$	−2.02989	−	2.34261i	−0.165190	−	0.190639i	0.667119	−	0.744951i	$-0.267527\pi$
$151$	−2.02989	−	2.34261i	−0.165190	−	0.190639i	−0.832309	+	0.554312i	$0.812982\pi$
$152$	−1.02794	+	1.18630i	−0.0833767	+	0.0962219i
$153$	6.71308	−	8.40361i	0.542720	−	0.679391i
$154$	−10.1932	+	15.8609i	−0.821391	+	1.27811i
$155$	13.1218	+	1.88664i	1.05397	+	0.151538i
$156$	1.85480	−	5.29366i	0.148503	−	0.423832i
$157$	−7.28821	−	4.68385i	−0.581663	−	0.373812i	0.216474	−	0.976288i	$-0.430544\pi$
$157$	−7.28821	−	4.68385i	−0.581663	−	0.373812i	−0.798137	+	0.602476i	$0.794181\pi$
$158$	12.7412	−	11.0403i	1.01364	−	0.878323i
$159$	9.75512	+	7.00283i	0.773631	+	0.555361i
$160$	2.64531	+	3.05285i	0.209130	+	0.241349i
$161$	−1.53529	+	10.6782i	−0.120998	+	0.841561i
$162$	−6.41807	−	6.30939i	−0.504251	−	0.495713i
$163$	23.3248			1.82694			0.913471	−	0.406904i	$-0.133392\pi$
$163$	23.3248			1.82694			0.913471	+	0.406904i	$0.133392\pi$
$164$	8.54754			0.667451
$165$	13.5930	+	34.3326i	1.05821	+	2.67279i
$166$	8.81022	+	13.7090i	0.683806	+	1.06402i
$167$	3.52933	+	1.61179i	0.273108	+	0.124724i	0.547261	−	0.836962i	$-0.315670\pi$
$167$	3.52933	+	1.61179i	0.273108	+	0.124724i	−0.274153	+	0.961686i	$0.588398\pi$
$168$	−1.43583	−	6.01872i	−0.110777	−	0.464354i
$169$	2.11347	−	1.35824i	0.162575	−	0.104480i
$170$	4.08023	−	13.8960i	0.312939	−	1.06577i
$171$	1.14510	−	4.56776i	0.0875682	−	0.349306i
$172$		−	2.93711i		−	0.223952i
$173$	0.250254	−	0.852285i	0.0190264	−	0.0647981i	−0.949433	−	0.313971i	$-0.898341\pi$
$173$	0.250254	−	0.852285i	0.0190264	−	0.0647981i	0.968459	+	0.249173i	$0.0801587\pi$
$174$	4.83438	+	8.44767i	0.366494	+	0.640416i
$175$	30.5558	−	26.4768i	2.30980	−	2.00146i
$176$	5.06385	−	1.48688i	0.381702	−	0.112078i
$177$	−11.0286	−	2.16926i	−0.828961	−	0.163052i
$178$	4.47192	−	6.95844i	0.335184	−	0.521557i
$179$	−14.7632	+	9.48771i	−1.10345	+	0.709145i	−0.959856	−	0.280492i	$-0.909502\pi$
$179$	−14.7632	+	9.48771i	−1.10345	+	0.709145i	−0.143594	+	0.989637i	$0.545866\pi$
$180$	−11.2157	−	4.58971i	−0.835972	−	0.342097i
$181$	11.5299	+	7.40981i	0.857010	+	0.550767i	0.893754	−	0.448558i	$-0.148062\pi$
$181$	11.5299	+	7.40981i	0.857010	+	0.550767i	−0.0367440	+	0.999325i	$0.511699\pi$
$182$	−4.80601	+	10.5237i	−0.356246	+	0.780069i
$183$	0.260588	−	5.06385i	0.0192633	−	0.374330i
$184$	2.28222	−	1.97755i	0.168247	−	0.145787i
$185$	2.94947	+	20.5140i	0.216850	+	1.50822i
$186$	1.31902	+	5.52906i	0.0967152	+	0.405410i
$187$	−14.3000	−	12.3910i	−1.04572	−	0.906121i
$188$	2.59331	+	8.83200i	0.189136	+	0.644139i
$189$	11.9947	+	14.1671i	0.872487	+	1.03050i
$190$	−0.902393	−	6.27628i	−0.0654665	−	0.455329i
$191$	−12.8219	+	8.24013i	−0.927760	+	0.596235i	−0.914899	−	0.403682i	$-0.867730\pi$
$191$	−12.8219	+	8.24013i	−0.927760	+	0.596235i	−0.0128604	+	0.999917i	$0.504094\pi$
$192$	−0.799540	+	1.53647i	−0.0577018	+	0.110885i
$193$	6.49589	+	1.90737i	0.467585	+	0.137295i	0.507033	−	0.861926i	$-0.330742\pi$
$193$	6.49589	+	1.90737i	0.467585	+	0.137295i	−0.0394489	+	0.999222i	$0.512560\pi$
$194$	−8.81646	+	4.02634i	−0.632985	+	0.289075i
$195$	11.2542	+	19.6658i	0.805933	+	1.40830i
$196$	0.820044	+	5.70353i	0.0585746	+	0.407395i
$197$	−3.37880	+	3.89934i	−0.240729	+	0.277816i	−0.863239	−	0.504796i	$-0.831568\pi$
$197$	−3.37880	+	3.89934i	−0.240729	+	0.277816i	0.622509	+	0.782612i	$0.286113\pi$
$198$	−11.5418	+	10.8382i	−0.820243	+	0.770237i
$199$	3.62697	+	7.94197i	0.257109	+	0.562991i	0.993535	−	0.113528i	$-0.0362150\pi$
$199$	3.62697	+	7.94197i	0.257109	+	0.562991i	−0.736425	+	0.676519i	$0.763488\pi$
$200$	−11.3176			−0.800274
$201$	9.54538	+	10.4826i	0.673279	+	0.739388i
$202$	−10.9528			−0.770635
$203$	−8.33946	−	18.2609i	−0.585315	−	1.28166i
$204$	6.18392	−	0.566693i	0.432961	−	0.0396764i
$205$	−22.6109	+	26.0944i	−1.57921	+	1.82251i
$206$	0.00299281	+	0.0208155i	0.000208519	+	0.00145028i
$207$	−3.43112	+	8.38454i	−0.238480	+	0.582766i
$208$	2.94582	−	1.34531i	0.204256	−	0.0932805i
$209$	−7.94874	−	2.33396i	−0.549826	−	0.161444i
$210$	22.1725	+	11.5380i	1.53005	+	0.796197i
$211$	5.05635	−	3.24952i	0.348093	−	0.223706i	−0.354897	−	0.934905i	$-0.615484\pi$
$211$	5.05635	−	3.24952i	0.348093	−	0.223706i	0.702990	+	0.711199i	$0.251848\pi$
$212$	0.986677	+	6.86249i	0.0677653	+	0.471318i
$213$	5.16072	−	7.18901i	0.353607	−	0.492583i
$214$	−4.16409	−	14.1816i	−0.284651	−	0.969434i
$215$	8.96655	+	7.76956i	0.611514	+	0.529880i
$216$	0.0594737	−	5.19581i	0.00404668	−	0.353530i
$217$	−1.66849	−	11.6046i	−0.113264	−	0.787770i
$218$	4.05365	−	3.51251i	0.274548	−	0.237897i
$219$	−11.8493	−	0.609773i	−0.800703	−	0.0412046i
$220$	−8.85623	+	19.3924i	−0.597087	+	1.30744i
$221$	−9.76757	−	6.27724i	−0.657038	−	0.422253i
$222$	−7.71277	+	4.41382i	−0.517647	+	0.296236i
$223$	1.41531	−	0.909563i	0.0947760	−	0.0609089i	−0.492394	−	0.870372i	$-0.663878\pi$
$223$	1.41531	−	0.909563i	0.0947760	−	0.0609089i	0.587170	+	0.809463i	$0.300242\pi$
$224$	1.93140	−	3.00531i	0.129047	−	0.200801i
$225$	30.2962	−	15.3273i	2.01975	−	1.02182i
$226$	−4.66176	+	1.36882i	−0.310095	+	0.0910523i
$227$	14.0508	−	12.1751i	0.932584	−	0.808089i	−0.0490628	−	0.998796i	$-0.515623\pi$
$227$	14.0508	−	12.1751i	0.932584	−	0.808089i	0.981647	+	0.190707i	$0.0610780\pi$
$228$	2.35973	−	1.35041i	0.156277	−	0.0894331i
$229$	−2.12161	+	7.22553i	−0.140200	+	0.477477i	−0.999417	−	0.0341338i	$-0.989133\pi$
$229$	−2.12161	+	7.22553i	−0.140200	+	0.477477i	0.859217	+	0.511611i	$0.170951\pi$
$230$			12.1985i			0.804346i
$231$	25.7461	−	20.0885i	1.69397	−	1.32172i
$232$	−1.58318	+	5.39181i	−0.103941	+	0.353990i
$233$	−21.8623	+	14.0500i	−1.43224	+	0.920448i	−0.432421	+	0.901672i	$0.642340\pi$
$233$	−21.8623	+	14.0500i	−1.43224	+	0.920448i	−0.999824	+	0.0187755i	$0.994023\pi$
$234$	−6.06377	+	7.59079i	−0.396401	+	0.496225i
$235$	−33.8229	−	15.4464i	−2.20636	−	1.00761i
$236$	−3.50842	−	5.45921i	−0.228379	−	0.355364i
$237$	−27.1503	+	10.7493i	−1.76360	+	0.698243i
$238$	−12.8080			−0.830220
$239$	11.5584			0.747650			0.373825	−	0.927499i	$-0.378046\pi$
$239$	11.5584			0.747650			0.373825	+	0.927499i	$0.378046\pi$
$240$	−2.57558	−	6.50531i	−0.166253	−	0.419916i
$241$	−1.86871	+	12.9972i	−0.120374	+	0.837223i	0.836758	+	0.547573i	$0.184448\pi$
$241$	−1.86871	+	12.9972i	−0.120374	+	0.837223i	−0.957133	+	0.289650i	$0.906461\pi$
$242$	11.0366	+	12.7369i	0.709461	+	0.818761i
$243$	6.87744	+	13.9893i	0.441188	+	0.897415i
$244$	2.21244	−	1.91709i	0.141637	−	0.122729i
$245$	−19.5813	−	12.5842i	−1.25100	−	0.803972i
$246$	−13.9719	−	4.89551i	−0.890819	−	0.312126i
$247$	−5.03170	−	0.723450i	−0.320160	−	0.0460320i
$248$	−1.77427	+	2.76081i	−0.112666	+	0.175312i
$249$	−6.54967	−	27.4549i	−0.415068	−	1.73988i
$250$	16.7120	−	19.2866i	1.05696	−	1.21979i
$251$	3.21843	+	3.71427i	0.203146	+	0.234443i	0.848176	−	0.529714i	$-0.177701\pi$
$251$	3.21843	+	3.71427i	0.203146	+	0.234443i	−0.645031	+	0.764157i	$0.723155\pi$
$252$	−1.10012	+	10.6606i	−0.0693010	+	0.671558i
$253$	14.4972	+	6.62064i	0.911430	+	0.416236i
$254$	9.36736	−	10.8105i	0.587760	−	0.678311i
$255$	−14.6284	+	20.3777i	−0.916064	+	1.27610i
$256$	−0.959493	+	0.281733i	−0.0599683	+	0.0176083i
$257$	−2.08377	+	0.299601i	−0.129982	+	0.0186886i	−0.206999	−	0.978341i	$-0.566370\pi$
$257$	−2.08377	+	0.299601i	−0.129982	+	0.0186886i	0.0770168	+	0.997030i	$0.475460\pi$
$258$	−1.68220	+	4.80104i	−0.104729	+	0.298900i
$259$	16.6723	−	7.61397i	1.03596	−	0.473109i
$260$	−3.68558	+	12.5519i	−0.228570	+	0.778437i
$261$	−3.06405	−	16.5775i	−0.189660	−	1.02612i
$262$	−0.594508	−	0.0854774i	−0.0367288	−	0.00528081i
$263$	−11.0987	+	1.59575i	−0.684373	+	0.0983980i	−0.475727	−	0.879593i	$-0.657815\pi$
$263$	−11.0987	+	1.59575i	−0.684373	+	0.0983980i	−0.208647	+	0.977991i	$0.566906\pi$
$264$	−9.12904	−	0.469786i	−0.561854	−	0.0289133i
$265$	−23.5602	−	15.1412i	−1.44729	−	0.930119i
$266$	−5.10089	+	2.32950i	−0.312756	+	0.142831i
$267$	−11.2952	+	8.81313i	−0.691257	+	0.539355i
$268$	−0.545948	+	8.16713i	−0.0333491	+	0.498887i
$269$		−	5.34502i		−	0.325892i	−0.986635	−	0.162946i	$-0.947900\pi$
$269$		−	5.34502i		−	0.325892i	0.986635	−	0.162946i	$-0.0520996\pi$
$270$	15.7047	+	13.9261i	0.955759	+	0.847516i
$271$	−0.0346214	+	0.0538720i	−0.00210310	+	0.00327249i	−0.842303	−	0.539004i	$-0.818801\pi$
$271$	−0.0346214	+	0.0538720i	−0.00210310	+	0.00327249i	0.840200	+	0.542276i	$0.182437\pi$
$272$	2.70955	+	2.34784i	0.164291	+	0.142359i
$273$	13.8833	−	14.4496i	0.840257	−	0.874531i
$274$	−1.24299	+	8.64522i	−0.0750920	+	0.522277i
$275$	−24.8127	−	54.3323i	−1.49626	−	3.27636i
$276$	−4.86317	+	1.92542i	−0.292728	+	0.115897i
$277$	−5.83114	−	12.7684i	−0.350359	−	0.767180i	−0.999976	−	0.00691811i	$-0.997798\pi$
$277$	−5.83114	−	12.7684i	−0.350359	−	0.767180i	0.649617	−	0.760262i	$-0.274929\pi$
$278$	10.4607	+	16.2771i	0.627390	+	0.976238i
$279$	1.01062	−	9.79334i	0.0605041	−	0.586312i
$280$	4.06563	+	13.8463i	0.242968	+	0.827472i
$281$	−7.52361	+	2.20913i	−0.448821	+	0.131786i	−0.498329	−	0.866988i	$-0.666053\pi$
$281$	−7.52361	+	2.20913i	−0.448821	+	0.131786i	0.0495079	+	0.998774i	$0.484235\pi$
$282$	0.819366	−	15.9222i	0.0487925	−	0.948154i
$283$	−7.15167	+	15.6600i	−0.425123	+	0.930889i	0.568970	+	0.822358i	$0.307342\pi$
$283$	−7.15167	+	15.6600i	−0.425123	+	0.930889i	−0.994093	+	0.108531i	$0.965385\pi$
$284$	5.05730	−	0.727129i	0.300095	−	0.0431472i
$285$	−2.11961	+	10.7761i	−0.125555	+	0.638324i
$286$	12.9169	+	11.1925i	0.763791	+	0.661828i
$287$	27.7760	+	12.6849i	1.63956	+	0.748764i
$288$	2.18694	−	2.05361i	0.128866	−	0.121010i
$289$	−0.590036	+	4.10379i	−0.0347080	+	0.241400i
$290$	−12.2724	−	19.0962i	−0.720661	−	1.12137i
$291$	16.7176	−	1.53199i	0.980001	−	0.0898070i
$292$	−4.48597	−	5.17708i	−0.262521	−	0.302966i
$293$	−7.14762	−	24.3426i	−0.417568	−	1.42211i	−0.853012	−	0.521891i	$-0.825227\pi$
$293$	−7.14762	−	24.3426i	−0.417568	−	1.42211i	0.435444	−	0.900216i	$-0.356591\pi$
$294$	1.92618	−	9.79276i	0.112337	−	0.571125i
$295$	25.9470	+	3.73062i	1.51069	+	0.217205i
$296$	−4.92276	−	1.44545i	−0.286129	−	0.0840152i
$297$	25.0739	−	11.1058i	1.45494	−	0.644425i
$298$		−	9.17255i		−	0.531352i
$299$	9.38342	+	2.75522i	0.542657	+	0.159339i
$300$	18.4999	+	6.48202i	1.06809	+	0.374240i
$301$	4.35878	−	9.54439i	0.251236	−	0.550129i
$302$	−1.28767	+	2.81961i	−0.0740971	+	0.162250i
$303$	17.9036	+	6.27309i	1.02853	+	0.360379i
$304$	1.50612	+	0.442237i	0.0863819	+	0.0253640i
$305$			11.8256i			0.677130i
$306$	−10.4329	−	2.61545i	−0.596409	−	0.149515i
$307$	−5.49707	−	1.61408i	−0.313734	−	0.0921206i	0.121075	−	0.992643i	$-0.461366\pi$
$307$	−5.49707	−	1.61408i	−0.313734	−	0.0921206i	−0.434809	+	0.900523i	$0.643184\pi$
$308$	18.6620	+	2.68319i	1.06337	+	0.152889i
$309$	0.00702973	−	0.0357394i	0.000399907	−	0.00203314i
$310$	−3.73486	−	12.7198i	−0.212126	−	0.722435i
$311$	2.03252	+	2.34566i	0.115254	+	0.133010i	0.810445	−	0.585815i	$-0.199226\pi$
$311$	2.03252	+	2.34566i	0.115254	+	0.133010i	−0.695191	+	0.718825i	$0.744680\pi$
$312$	−5.58580	+	0.511881i	−0.316233	+	0.0289795i
$313$	17.8549	+	27.7827i	1.00922	+	1.57037i	0.806586	+	0.591117i	$0.201313\pi$
$313$	17.8549	+	27.7827i	1.00922	+	1.57037i	0.202631	+	0.979255i	$0.435051\pi$
$314$	−1.23295	+	8.57533i	−0.0695792	+	0.483934i
$315$	−29.6352	−	31.5592i	−1.66976	−	1.77816i
$316$	−15.3356	−	7.00351i	−0.862692	−	0.393978i
$317$	19.0024	+	16.4657i	1.06728	+	0.924806i	0.997351	−	0.0727452i	$-0.0231760\pi$
$317$	19.0024	+	16.4657i	1.06728	+	0.924806i	0.0699330	+	0.997552i	$0.477721\pi$
$318$	2.31758	−	11.7826i	0.129963	−	0.660738i
$319$	−29.3555	+	4.22068i	−1.64359	+	0.236313i
$320$	1.67807	−	3.67446i	0.0938070	−	0.205409i
$321$	−1.31566	+	25.5664i	−0.0734331	+	1.42698i
$322$	10.3510	−	3.03934i	0.576840	−	0.169376i
$323$	−1.58553	−	5.39981i	−0.0882212	−	0.300454i
$324$	−3.07306	+	8.45910i	−0.170726	+	0.469950i
$325$	−19.8154	−	30.8334i	−1.09916	−	1.71033i
$326$	−9.68948	−	21.2170i	−0.536651	−	1.17510i
$327$	−8.63791	+	3.41992i	−0.477677	+	0.189122i
$328$	−3.55078	−	7.77512i	−0.196059	−	0.429309i
$329$	−4.67983	+	32.5489i	−0.258007	+	1.79448i
$330$	25.5834	−	26.6269i	1.40832	−	1.46576i
$331$	20.3321	+	17.6179i	1.11756	+	0.968367i	0.999696	−	0.0246628i	$-0.00785122\pi$
$331$	20.3321	+	17.6179i	1.11756	+	0.968367i	0.117860	+	0.993030i	$0.462397\pi$
$332$	8.81022	−	13.7090i	0.483524	−	0.752378i
$333$	15.1354	−	2.79750i	0.829414	−	0.153302i
$334$		−	3.87996i		−	0.212302i
$335$	−23.4888	−	23.2713i	−1.28333	−	1.27145i
$336$	−4.87835	+	3.80634i	−0.266136	+	0.207653i
$337$	−28.8996	+	13.1980i	−1.57426	+	0.718941i	−0.995339	−	0.0964425i	$-0.969254\pi$
$337$	−28.8996	+	13.1980i	−1.57426	+	0.718941i	−0.578922	+	0.815383i	$0.696526\pi$
$338$	−2.11347	−	1.35824i	−0.114958	−	0.0738788i
$339$	8.40416	+	0.432483i	0.456451	+	0.0234892i
$340$	−14.3352	+	2.06109i	−0.777436	+	0.111778i
$341$	−17.1437	−	2.46490i	−0.928386	−	0.133482i
$342$	−4.63068	+	0.855895i	−0.250398	+	0.0462815i
$343$	1.24582	−	4.24287i	0.0672679	−	0.229094i
$344$	−2.67169	+	1.22012i	−0.144048	+	0.0657844i
$345$	6.98657	−	19.9399i	0.376144	−	1.07353i
$346$	−0.879225	+	0.126414i	−0.0472674	+	0.00679603i
$347$	−15.1579	+	4.45077i	−0.813719	+	0.238930i	−0.662009	−	0.749495i	$-0.730296\pi$
$347$	−15.1579	+	4.45077i	−0.813719	+	0.238930i	−0.151710	+	0.988425i	$0.548478\pi$
$348$	5.67599	−	7.90680i	0.304265	−	0.423849i
$349$	22.8045	−	26.3178i	1.22070	−	1.40876i	0.336476	−	0.941692i	$-0.390765\pi$
$349$	22.8045	−	26.3178i	1.22070	−	1.40876i	0.884222	−	0.467068i	$-0.154690\pi$
$350$	−36.7775	−	16.7957i	−1.96584	−	0.897768i
$351$	14.2595	−	8.93506i	0.761115	−	0.476918i
$352$	−3.45611	−	3.98857i	−0.184211	−	0.212591i
$353$	−0.146209	+	0.168734i	−0.00778191	+	0.00898081i	−0.759627	−	0.650359i	$-0.774619\pi$
$353$	−0.146209	+	0.168734i	−0.00778191	+	0.00898081i	0.751845	+	0.659340i	$0.229164\pi$
$354$	2.60822	+	10.9331i	0.138625	+	0.581089i
$355$	−11.1583	+	17.3627i	−0.592221	+	0.921514i
$356$	−8.18732	−	1.17716i	−0.433927	−	0.0623893i
$357$	20.9362	+	7.33565i	1.10806	+	0.388244i
$358$	14.7632	+	9.48771i	0.780257	+	0.501441i
$359$	−0.885837	+	0.767582i	−0.0467527	+	0.0405114i	−0.677924	−	0.735132i	$-0.737120\pi$
$359$	−0.885837	+	0.767582i	−0.0467527	+	0.0405114i	0.631171	+	0.775644i	$0.282575\pi$
$360$	0.484239	+	12.1088i	0.0255216	+	0.638191i
$361$	10.8288	+	12.4971i	0.569937	+	0.657742i
$362$	1.95051	−	13.5661i	0.102517	−	0.713018i
$363$	−10.7457	−	27.1411i	−0.564003	−	1.42454i
$364$	11.5692			0.606390
$365$	27.6716			1.44840
$366$	−4.71449	+	1.86656i	−0.246430	+	0.0975666i
$367$	4.13033	+	6.42692i	0.215601	+	0.335482i	0.932161	−	0.362043i	$-0.117921\pi$
$367$	4.13033	+	6.42692i	0.215601	+	0.335482i	−0.716560	+	0.697526i	$0.754284\pi$
$368$	−2.74691	−	1.25447i	−0.143193	−	0.0653939i
$369$	20.0349	+	16.0046i	1.04298	+	0.833164i
$370$	17.4350	−	11.2048i	0.906401	−	0.582509i
$371$	−6.97790	+	23.7645i	−0.362274	+	1.23379i
$372$	4.48147	−	3.49668i	0.232353	−	0.181294i
$373$		−	7.78529i		−	0.403107i	−0.979477	−	0.201554i	$-0.935401\pi$
$373$		−	7.78529i		−	0.403107i	0.979477	−	0.201554i	$-0.0645990\pi$
$374$	−5.33084	+	18.1552i	−0.275651	+	0.938781i
$375$	−38.3639	+	21.9546i	−1.98110	+	1.13373i
$376$	6.95657	−	6.02790i	0.358758	−	0.310865i
$377$	−17.4612	+	5.12709i	−0.899300	+	0.264058i
$378$	7.90404	−	16.7960i	0.406540	−	0.863892i
$379$	−7.55230	+	11.7516i	−0.387936	+	0.603640i	−0.979214	−	0.202828i	$-0.934987\pi$
$379$	−7.55230	+	11.7516i	−0.387936	+	0.603640i	0.591279	+	0.806467i	$0.298623\pi$
$380$	−5.33424	+	3.42811i	−0.273641	+	0.175858i
$381$	−21.5036	+	12.3060i	−1.10166	+	0.630454i
$382$	12.8219	+	8.24013i	0.656025	+	0.421602i
$383$	−4.82150	+	10.5576i	−0.246367	+	0.539469i	−0.991903	−	0.126997i	$-0.959466\pi$
$383$	−4.82150	+	10.5576i	−0.246367	+	0.539469i	0.745536	+	0.666465i	$0.232194\pi$
$384$	1.72976	+	0.0890145i	0.0882715	+	0.00454250i
$385$	−57.5582	+	49.8745i	−2.93344	+	2.54184i
$386$	−0.963490	−	6.70122i	−0.0490403	−	0.341083i
$387$	5.49949	−	6.88440i	0.279555	−	0.349954i
$388$	7.32498	+	6.34713i	0.371870	+	0.322227i
$389$	1.37141	+	4.67058i	0.0695331	+	0.236808i	0.986926	−	0.161175i	$-0.0515284\pi$
$389$	1.37141	+	4.67058i	0.0695331	+	0.236808i	−0.917393	+	0.397983i	$0.869710\pi$
$390$	13.2135	−	18.4067i	0.669090	−	0.932059i
$391$	1.54081	+	10.7166i	0.0779220	+	0.541959i
$392$	4.84746	−	3.11527i	0.244834	−	0.157345i
$393$	0.922836	+	0.480221i	0.0465509	+	0.0242239i
$394$	4.95057	+	1.45362i	0.249406	+	0.0732322i
$395$	61.9480	−	28.2907i	3.11694	−	1.42346i
$396$	14.6534	+	5.99648i	0.736362	+	0.301334i
$397$	−3.07835	−	21.4104i	−0.154498	−	1.07456i	−0.908560	−	0.417754i	$-0.862817\pi$
$397$	−3.07835	−	21.4104i	−0.154498	−	1.07456i	0.754062	−	0.656803i	$-0.228092\pi$
$398$	5.71757	−	6.59842i	0.286596	−	0.330749i
$399$	9.67219	−	0.886357i	0.484215	−	0.0443733i
$400$	4.70149	+	10.2948i	0.235075	+	0.514742i
$401$	−19.3895			−0.968263			−0.484132	−	0.874995i	$-0.660864\pi$
$401$	−19.3895			−0.968263			−0.484132	+	0.874995i	$0.660864\pi$
$402$	5.57005	−	13.0374i	0.277809	−	0.650248i
$403$	−10.6280			−0.529417
$404$	4.54995	+	9.96300i	0.226369	+	0.495678i
$405$	−17.6952	−	31.7585i	−0.879280	−	1.57809i
$406$	−13.1463	+	15.1717i	−0.652441	+	0.752958i
$407$	−3.85350	−	26.8017i	−0.191011	−	1.32851i
$408$	−3.08438	−	5.38968i	−0.152699	−	0.266829i
$409$	10.2758	−	4.69278i	0.508104	−	0.232043i	−0.144832	−	0.989456i	$-0.546264\pi$
$409$	10.2758	−	4.69278i	0.508104	−	0.232043i	0.652936	+	0.757413i	$0.273537\pi$
$410$	33.1292	+	9.72761i	1.63613	+	0.480412i
$411$	6.98327	−	13.4197i	0.344459	−	0.661945i
$412$	0.0176912	−	0.0113694i	0.000871581	−	0.000560131i
$413$	−3.29925	−	22.9468i	−0.162346	−	1.12914i
$414$	9.05218	−	0.362002i	0.444891	−	0.0177914i
$415$	18.5457	+	63.1608i	0.910372	+	3.10044i
$416$	−2.44748	−	2.12075i	−0.119997	−	0.103978i
$417$	−7.77665	−	32.5981i	−0.380824	−	1.59634i
$418$	1.17898	+	8.19999i	0.0576659	+	0.401075i
$419$	0.755397	−	0.654555i	0.0369035	−	0.0319771i	−0.636214	−	0.771513i	$-0.719500\pi$
$419$	0.755397	−	0.654555i	0.0369035	−	0.0319771i	0.673117	+	0.739536i	$0.264955\pi$
$420$	1.28455	−	24.9618i	0.0626797	−	1.21801i
$421$	10.4221	−	22.8212i	0.507943	−	1.11224i	−0.465863	−	0.884857i	$-0.654256\pi$
$421$	10.4221	−	22.8212i	0.507943	−	1.11224i	0.973806	−	0.227382i	$-0.0730167\pi$
$422$	−5.05635	−	3.24952i	−0.246139	−	0.158184i
$423$	−10.4586	+	25.5574i	−0.508516	+	1.24264i
$424$	5.83246	−	3.74829i	0.283249	−	0.182033i
$425$	21.9372	−	34.1350i	1.06411	−	1.65579i
$426$	−8.68319	−	1.70793i	−0.420702	−	0.0827497i
$427$	10.0346	−	2.94641i	0.485607	−	0.142587i
$428$	−11.1702	+	9.67904i	−0.539932	+	0.467854i
$429$	−14.7037	−	25.6935i	−0.709902	−	1.24049i
$430$	3.34260	−	11.3839i	0.161195	−	0.548978i
$431$		−	5.29763i		−	0.255178i	−0.991827	−	0.127589i	$-0.959276\pi$
$431$		−	5.29763i		−	0.255178i	0.991827	−	0.127589i	$-0.0407238\pi$
$432$	−4.75098	+	2.10432i	−0.228582	+	0.101244i
$433$	9.61367	−	32.7411i	0.462003	−	1.57344i	−0.318270	−	0.948000i	$-0.603102\pi$
$433$	9.61367	−	32.7411i	0.462003	−	1.57344i	0.780273	−	0.625439i	$-0.215080\pi$
$434$	−9.86278	+	6.33842i	−0.473429	+	0.304254i
$435$	9.12351	+	38.2439i	0.437439	+	1.83366i
$436$	−4.87903	−	2.22818i	−0.233663	−	0.106710i
$437$	2.56275	+	3.98771i	0.122593	+	0.190758i
$438$	4.36772	+	11.0318i	0.208697	+	0.527121i
$439$	27.1341			1.29504			0.647519	−	0.762049i	$-0.275807\pi$
$439$	27.1341			1.29504			0.647519	+	0.762049i	$0.275807\pi$
$440$	21.3190			1.01634
$441$	−8.75726	+	14.9042i	−0.417012	+	0.709724i
$442$	−1.65238	+	11.4926i	−0.0785957	+	0.546645i
$443$	−14.9943	−	17.3044i	−0.712403	−	0.822157i	0.277969	−	0.960590i	$-0.410339\pi$
$443$	−14.9943	−	17.3044i	−0.712403	−	0.822157i	−0.990372	+	0.138434i	$0.955793\pi$
$444$	7.21895	+	5.18221i	0.342596	+	0.245937i
$445$	25.2517	−	21.8807i	1.19705	−	1.03725i
$446$	−1.41531	−	0.909563i	−0.0670168	−	0.0430691i
$447$	−5.25348	+	14.9936i	−0.248481	+	0.709173i
$448$	−3.53606	−	0.508408i	−0.167063	−	0.0240200i
$449$	20.1769	−	31.3959i	0.952207	−	1.48166i	0.0775100	−	0.996992i	$-0.475303\pi$
$449$	20.1769	−	31.3959i	0.952207	−	1.48166i	0.874697	−	0.484671i	$-0.161061\pi$
$450$	−26.5277	−	21.1912i	−1.25053	−	0.998964i
$451$	29.5413	−	34.0924i	1.39104	−	1.60535i
$452$	3.18168	+	3.67186i	0.149654	+	0.172710i
$453$	3.71975	−	3.87147i	0.174769	−	0.181898i
$454$	−16.9118	−	7.72334i	−0.793708	−	0.362474i
$455$	−30.6041	+	35.3190i	−1.43474	+	1.65578i
$456$	−2.20864	−	1.58550i	−0.103429	−	0.0742479i
$457$	10.5761	−	3.10542i	0.494729	−	0.145266i	−0.0248444	−	0.999691i	$-0.507909\pi$
$457$	10.5761	−	3.10542i	0.494729	−	0.145266i	0.519574	+	0.854426i	$0.326091\pi$
$458$	7.45393	−	1.07171i	0.348299	−	0.0500778i
$459$	15.5558	+	10.2506i	0.726084	+	0.478456i
$460$	11.0962	−	5.06745i	0.517361	−	0.236271i
$461$	−0.133877	+	0.455943i	−0.00623527	+	0.0212354i	−0.962552	−	0.271098i	$-0.912613\pi$
$461$	−0.133877	+	0.455943i	−0.00623527	+	0.0212354i	0.956317	+	0.292333i	$0.0944316\pi$
$462$	−28.9684	−	15.0744i	−1.34773	−	0.701327i
$463$	−17.4975	−	2.51577i	−0.813180	−	0.116918i	−0.276836	−	0.960917i	$-0.589286\pi$
$463$	−17.4975	−	2.51577i	−0.813180	−	0.116918i	−0.536344	+	0.844000i	$0.680195\pi$
$464$	5.56224	−	0.799730i	0.258221	−	0.0371265i
$465$	−1.18005	+	22.9311i	−0.0547233	+	1.06340i
$466$	21.8623	+	14.0500i	1.01275	+	0.650855i
$467$	1.98920	−	0.908439i	0.0920494	−	0.0420376i	−0.368858	−	0.929486i	$-0.620251\pi$
$467$	1.98920	−	0.908439i	0.0920494	−	0.0420376i	0.460908	+	0.887448i	$0.347524\pi$
$468$	9.42381	+	2.36248i	0.435616	+	0.109205i
$469$	−13.8944	+	25.7296i	−0.641585	+	1.18808i
$470$			37.1830i			1.71513i
$471$	6.92682	−	13.3112i	0.319171	−	0.613349i
$472$	−3.50842	+	5.45921i	−0.161488	+	0.251281i
$473$	−11.7149	−	10.1510i	−0.538649	−	0.466742i
$474$	21.0566	+	20.2313i	0.967160	+	0.929256i
$475$	2.52826	−	17.5844i	0.116004	−	0.806829i
$476$	5.32064	+	11.6506i	0.243871	+	0.534003i
$477$	−10.5367	+	17.9327i	−0.482444	+	0.821084i
$478$	−4.80153	−	10.5139i	−0.219617	−	0.480894i
$479$	13.6525	+	21.2437i	0.623798	+	0.970648i	0.999044	+	0.0437228i	$0.0139218\pi$
$479$	13.6525	+	21.2437i	0.623798	+	0.970648i	−0.375246	+	0.926925i	$0.622442\pi$
$480$	−4.84751	+	5.04524i	−0.221257	+	0.230282i
$481$	−4.68106	−	15.9422i	−0.213438	−	0.726903i
$482$	12.5990	−	3.69939i	0.573867	−	0.168503i
$483$	−18.6607	−	0.960290i	−0.849091	−	0.0436947i
$484$	7.00115	−	15.3304i	0.318234	−	0.696835i
$485$	−38.7537	+	5.57194i	−1.75972	+	0.253009i
$486$	9.86813	−	12.0673i	0.447627	−	0.547384i
$487$	1.51052	+	1.30887i	0.0684483	+	0.0593108i	0.688413	−	0.725319i	$-0.258308\pi$
$487$	1.51052	+	1.30887i	0.0684483	+	0.0593108i	−0.619965	+	0.784630i	$0.712853\pi$
$488$	−2.66293	−	1.21612i	−0.120545	−	0.0550512i
$489$	3.68678	+	40.2312i	0.166722	+	1.81932i
$490$	−3.31257	+	23.0394i	−0.149647	+	1.04082i
$491$	18.8888	+	29.3915i	0.852438	+	1.32642i	0.943771	+	0.330599i	$0.107251\pi$
$491$	18.8888	+	29.3915i	0.852438	+	1.32642i	−0.0913335	+	0.995820i	$0.529113\pi$
$492$	1.35104	+	14.7430i	0.0609098	+	0.664666i
$493$	−13.1935	−	15.2262i	−0.594207	−	0.685752i
$494$	1.43217	+	4.87753i	0.0644365	+	0.219450i
$495$	−57.0692	+	28.8722i	−2.56507	+	1.29771i
$496$	3.24838	+	0.467046i	0.145857	+	0.0209710i
$497$	17.5132	+	5.14234i	0.785575	+	0.230666i
$498$	−22.2530	+	17.3630i	−0.997181	+	0.778053i
$499$		−	7.09218i		−	0.317489i	−0.987320	−	0.158745i	$-0.949255\pi$
$499$		−	7.09218i		−	0.317489i	0.987320	−	0.158745i	$-0.0507447\pi$
$500$	−24.4861	−	7.18978i	−1.09505	−	0.321537i
$501$	−2.22220	+	6.34224i	−0.0992807	+	0.283350i
$502$	2.04163	−	4.47055i	0.0911225	−	0.199531i
$503$	−5.20542	+	11.3983i	−0.232098	+	0.508224i	−0.989466	−	0.144764i	$-0.953758\pi$
$503$	−5.20542	+	11.3983i	−0.232098	+	0.508224i	0.757368	+	0.652988i	$0.226485\pi$
$504$	10.1543	−	3.42789i	0.452307	−	0.152690i
$505$	−42.4516	−	12.4649i	−1.88907	−	0.554682i
$506$		−	15.9374i		−	0.708505i
$507$	2.67679	+	3.43068i	0.118881	+	0.152362i
$508$	−13.7249	−	4.03000i	−0.608945	−	0.178802i
$509$	−3.41561	−	0.491091i	−0.151394	−	0.0217672i	0.0662009	−	0.997806i	$-0.478912\pi$
$509$	−3.41561	−	0.491091i	−0.151394	−	0.0217672i	−0.217595	+	0.976039i	$0.569821\pi$
$510$	24.6130	+	4.84124i	1.08988	+	0.214374i
$511$	−6.89456	−	23.4807i	−0.304997	−	1.03873i
$512$	0.654861	+	0.755750i	0.0289410	+	0.0333997i
$513$	8.05959	+	1.25311i	0.355839	+	0.0553261i
$514$	1.13816	+	1.77100i	0.0502019	+	0.0781156i
$515$	−0.0120895	+	0.0840841i	−0.000532726	+	0.00370519i
$516$	5.06599	−	0.464246i	0.223018	−	0.0204373i
$517$	44.1898	+	20.1808i	1.94346	+	0.887550i
$518$	−13.8518	−	12.0027i	−0.608614	−	0.527367i
$519$	1.50960	+	0.296929i	0.0662640	+	0.0130337i
$520$	12.9487	−	1.86174i	0.567837	−	0.0816426i
$521$	−14.5695	+	31.9027i	−0.638301	+	1.39768i	0.263129	+	0.964761i	$0.415245\pi$
$521$	−14.5695	+	31.9027i	−0.638301	+	1.39768i	−0.901431	+	0.432924i	$0.857482\pi$
$522$	−13.8066	+	9.67372i	−0.604299	+	0.423407i
$523$	19.8220	−	5.82026i	0.866755	−	0.254502i	0.182021	−	0.983295i	$-0.441736\pi$
$523$	19.8220	−	5.82026i	0.866755	−	0.254502i	0.684735	+	0.728792i	$0.259918\pi$
$524$	0.169215	+	0.576292i	0.00739218	+	0.0251754i
$525$	50.4975	+	48.5184i	2.20389	+	2.11752i
$526$	6.06210	+	9.43281i	0.264320	+	0.411290i
$527$	−4.88778	−	10.7027i	−0.212915	−	0.466219i
$528$	3.36501	+	8.49923i	0.146443	+	0.369881i
$529$	5.76628	+	12.6264i	0.250708	+	0.548974i
$530$	−3.98568	+	27.7210i	−0.173127	+	1.20413i
$531$	1.99839	−	19.3653i	0.0867227	−	0.840382i
$532$	4.23797	+	3.67222i	0.183739	+	0.159211i
$533$	14.9655	−	23.2867i	0.648227	−	1.00866i
$534$	12.7089	+	6.61340i	0.549969	+	0.286190i
$535$		−	59.7051i		−	2.58127i
$536$	7.65587	−	2.89614i	0.330683	−	0.125094i
$537$	−18.6981	−	23.9642i	−0.806884	−	1.03413i
$538$	−4.86200	+	2.22040i	−0.209616	+	0.0957283i
$539$	25.5831	+	16.4413i	1.10194	+	0.708175i
$540$	6.14365	−	20.0706i	0.264381	−	0.863702i
$541$	−19.6931	+	2.83144i	−0.846672	+	0.121733i	−0.551978	−	0.833859i	$-0.686127\pi$
$541$	−19.6931	+	2.83144i	−0.846672	+	0.121733i	−0.294694	+	0.955592i	$0.595218\pi$
$542$	0.0633860	+	0.00911353i	0.00272266	+	0.000391460i
$543$	−10.9582	+	21.0582i	−0.470260	+	0.903695i
$544$	1.01008	−	3.44002i	0.0433069	−	0.147490i
$545$	19.7089	−	9.00074i	0.844235	−	0.385549i
$546$	−18.9112	−	6.62613i	−0.809324	−	0.283572i
$547$	0.110092	−	0.0158288i	0.00470718	−	0.000676790i	−0.139961	−	0.990157i	$-0.544698\pi$
$547$	0.110092	−	0.0158288i	0.00470718	−	0.000676790i	0.144668	+	0.989480i	$0.453789\pi$
$548$	8.38032	−	2.46069i	0.357990	−	0.105115i
$549$	8.77543	−	0.350934i	0.374526	−	0.0149775i
$550$	−39.1148	+	45.1409i	−1.66786	+	1.92482i
$551$	−8.02374	−	3.66432i	−0.341823	−	0.156105i
$552$	3.77166	+	3.62385i	0.160533	+	0.154241i
$553$	−39.4408	−	45.5171i	−1.67719	−	1.93558i
$554$	−9.19222	+	10.6084i	−0.390540	+	0.450707i
$555$	−34.9169	+	8.32982i	−1.48214	+	0.353581i
$556$	10.4607	−	16.2771i	0.443632	−	0.690304i
$557$	3.14290	+	0.451881i	0.133169	+	0.0191468i	0.208577	−	0.978006i	$-0.433117\pi$
$557$	3.14290	+	0.451881i	0.133169	+	0.0191468i	−0.0754079	+	0.997153i	$0.524026\pi$
$558$	−9.32816	+	3.14901i	−0.394893	+	0.133308i
$559$	−8.00179	−	5.14244i	−0.338440	−	0.217502i
$560$	10.9061	−	9.45016i	0.460866	−	0.399342i
$561$	19.1120	−	26.6235i	0.806911	−	1.12405i
$562$	5.13492	+	5.92601i	0.216604	+	0.249974i
$563$	1.70175	−	11.8359i	0.0717203	−	0.498826i	−0.922023	−	0.387136i	$-0.873465\pi$
$563$	1.70175	−	11.8359i	0.0717203	−	0.498826i	0.993743	−	0.111690i	$-0.0356264\pi$
$564$	−14.8237	+	5.86900i	−0.624192	+	0.247130i
$565$	−19.6262			−0.825679
$566$	17.2157			0.723631
$567$	−22.5398	+	22.9280i	−0.946582	+	0.962887i
$568$	−2.76230	−	4.29822i	−0.115903	−	0.180349i
$569$	6.51715	+	2.97628i	0.273213	+	0.124772i	0.547310	−	0.836930i	$-0.315652\pi$
$569$	6.51715	+	2.97628i	0.273213	+	0.124772i	−0.274097	+	0.961702i	$0.588379\pi$
$570$	10.6828	−	2.54851i	0.447455	−	0.106745i
$571$	−28.8171	+	18.5196i	−1.20596	+	0.775021i	−0.979977	−	0.199111i	$-0.936195\pi$
$571$	−28.8171	+	18.5196i	−1.20596	+	0.775021i	−0.225979	+	0.974132i	$0.572558\pi$
$572$	4.81522	−	16.3991i	0.201335	−	0.685683i
$573$	−16.2394	−	20.8130i	−0.678412	−	0.869478i
$574$		−	30.5354i		−	1.27452i
$575$	−9.62874	+	32.7925i	−0.401546	+	1.36754i
$576$	−2.77651	−	1.13621i	−0.115688	−	0.0473420i
$577$	1.55331	−	1.34595i	0.0646651	−	0.0560326i	−0.621929	−	0.783074i	$-0.713651\pi$
$577$	1.55331	−	1.34595i	0.0646651	−	0.0560326i	0.686594	+	0.727041i	$0.259105\pi$
$578$	3.97805	−	1.16806i	0.165465	−	0.0485849i
$579$	−2.26311	+	11.5058i	−0.0940518	+	0.478163i
$580$	−12.2724	+	19.0962i	−0.509584	+	0.792928i
$581$	48.9742	−	31.4738i	2.03179	−	1.30575i
$582$	−8.33828	−	14.5704i	−0.345633	−	0.603964i
$583$	30.7816	+	19.7821i	1.27484	+	0.819291i
$584$	−2.84570	+	6.23121i	−0.117756	+	0.257849i
$585$	−32.1412	+	22.5200i	−1.32887	+	0.931088i
$586$	−19.1735	+	16.6140i	−0.792051	+	0.686316i
$587$	−6.30386	−	43.8443i	−0.260188	−	1.80965i	−0.531393	−	0.847126i	$-0.678331\pi$
$587$	−6.30386	−	43.8443i	−0.260188	−	1.80965i	0.271205	−	0.962522i	$-0.412578\pi$
$588$	−9.70797	+	2.31595i	−0.400350	+	0.0955080i
$589$	−3.89319	−	3.37347i	−0.160416	−	0.139001i
$590$	−7.38530	−	25.1520i	−0.304048	−	1.03549i
$591$	−7.25973	−	5.21149i	−0.298626	−	0.214372i
$592$	0.730158	+	5.07836i	0.0300093	+	0.208719i
$593$	−21.7498	+	13.9777i	−0.893156	+	0.573997i	−0.904753	−	0.425936i	$-0.859945\pi$
$593$	−21.7498	+	13.9777i	−0.893156	+	0.573997i	0.0115970	+	0.999933i	$0.496308\pi$
$594$	−20.5183	−	18.1945i	−0.841876	−	0.746531i
$595$	−49.6422	−	14.5763i	−2.03513	−	0.597569i
$596$	−8.34365	+	3.81042i	−0.341769	+	0.156081i
$597$	−13.1252	+	7.51122i	−0.537179	+	0.307414i
$598$	−1.39178	−	9.68002i	−0.0569140	−	0.395846i
$599$	−25.5233	+	29.4555i	−1.04285	+	1.20352i	−0.0642141	+	0.997936i	$0.520454\pi$
$599$	−25.5233	+	29.4555i	−1.04285	+	1.20352i	−0.978640	+	0.205582i	$0.934091\pi$
$600$	−1.78888	−	19.5208i	−0.0730308	−	0.796934i
$601$	4.15515	+	9.09851i	0.169492	+	0.371136i	0.975249	−	0.221111i	$-0.0709683\pi$
$601$	4.15515	+	9.09851i	0.169492	+	0.371136i	−0.805757	+	0.592247i	$0.798241\pi$
$602$	−10.4926			−0.427646
$603$	−16.5719	+	18.1210i	−0.674861	+	0.737945i
$604$	3.09972			0.126126
$605$	28.2812	+	61.9271i	1.14979	+	2.51769i
$606$	−1.73122	−	18.8916i	−0.0703261	−	0.767420i
$607$	11.2512	−	12.9845i	0.456671	−	0.527026i	−0.479985	−	0.877277i	$-0.659358\pi$
$607$	11.2512	−	12.9845i	0.456671	−	0.527026i	0.936656	+	0.350250i	$0.113903\pi$
$608$	−0.223392	−	1.55373i	−0.00905975	−	0.0630119i
$609$	30.1786	−	17.2704i	1.22290	−	0.699834i
$610$	10.7569	−	4.91252i	0.435535	−	0.198902i
$611$	28.6022	+	8.39836i	1.15712	+	0.339761i
$612$	1.95489	+	10.5766i	0.0790217	+	0.427534i
$613$	8.57642	−	5.51173i	0.346398	−	0.222617i	−0.355859	−	0.934540i	$-0.615812\pi$
$613$	8.57642	−	5.51173i	0.346398	−	0.222617i	0.702258	+	0.711923i	$0.252175\pi$
$614$	0.815341	+	5.67082i	0.0329045	+	0.228856i
$615$	−48.5821	−	34.8753i	−1.95902	−	1.40631i
$616$	−5.31176	−	18.0902i	−0.214017	−	0.728875i
$617$	19.8985	+	17.2421i	0.801082	+	0.694142i	0.955865	−	0.293807i	$-0.0949223\pi$
$617$	19.8985	+	17.2421i	0.801082	+	0.694142i	−0.154783	+	0.987949i	$0.549468\pi$
$618$	−0.0354300	+	0.00845221i	−0.00142520	+	0.000339998i
$619$	1.34097	+	9.32662i	0.0538979	+	0.374868i	0.998862	+	0.0476942i	$0.0151873\pi$
$619$	1.34097	+	9.32662i	0.0538979	+	0.374868i	−0.944964	+	0.327174i	$0.893904\pi$
$620$	−10.0188	+	8.68134i	−0.402365	+	0.348651i
$621$	−15.0042	−	4.59281i	−0.602097	−	0.184303i
$622$	1.28934	−	2.82327i	0.0516980	−	0.113203i
$623$	−24.8585	−	15.9756i	−0.995933	−	0.640047i
$624$	2.78605	+	4.86838i	0.111531	+	0.194891i
$625$	39.1180	−	25.1396i	1.56472	−	1.00559i
$626$	17.8549	−	27.7827i	0.713624	−	1.11042i
$627$	2.76928	−	14.0791i	0.110594	−	0.562265i
$628$	8.31258	−	2.44079i	0.331708	−	0.0973983i
$629$	13.9016	−	12.0458i	0.554292	−	0.480297i
$630$	−16.3964	+	40.0673i	−0.653247	+	1.59632i
$631$	−11.7501	+	40.0170i	−0.467762	+	1.59305i	0.301070	+	0.953602i	$0.402656\pi$
$631$	−11.7501	+	40.0170i	−0.467762	+	1.59305i	−0.768832	+	0.639450i	$0.779162\pi$
$632$			16.8591i			0.670618i
$633$	6.40406	+	8.20768i	0.254539	+	0.326226i
$634$	7.08384	−	24.1253i	0.281335	−	0.958139i
$635$	48.6097	−	31.2396i	1.92902	−	1.23970i
$636$	−11.6806	+	2.78654i	−0.463167	+	0.110494i
$637$	16.9744	+	7.75193i	0.672549	+	0.307143i
$638$	16.0340	+	24.9493i	0.634791	+	0.987754i
$639$	13.2155	+	7.76502i	0.522797	+	0.307179i
$640$	−4.03950			−0.159675
$641$	35.4501			1.40019			0.700097	−	0.714047i	$-0.253140\pi$
$641$	35.4501			1.40019			0.700097	+	0.714047i	$0.253140\pi$
$642$	23.8026	−	9.42390i	0.939412	−	0.371932i
$643$	−2.44466	+	17.0030i	−0.0964080	+	0.670532i	0.883109	+	0.469169i	$0.155446\pi$
$643$	−2.44466	+	17.0030i	−0.0964080	+	0.670532i	−0.979517	+	0.201364i	$0.935463\pi$
$644$	−7.06465	−	8.15304i	−0.278386	−	0.321275i
$645$	−11.9839	+	16.6938i	−0.471864	+	0.657318i
$646$	−4.25319	+	3.68541i	−0.167340	+	0.145001i
$647$	−1.76712	−	1.13566i	−0.0694728	−	0.0446475i	0.505443	−	0.862860i	$-0.331329\pi$
$647$	−1.76712	−	1.13566i	−0.0694728	−	0.0446475i	−0.574916	+	0.818212i	$0.694965\pi$
$648$	8.97126	−	0.718680i	0.352424	−	0.0282324i
$649$	−33.8999	−	4.87407i	−1.33069	−	0.191324i
$650$	−19.8154	+	30.8334i	−0.777224	+	1.20938i
$651$	19.7521	−	4.71209i	0.774147	−	0.184681i
$652$	−15.2745	+	17.6277i	−0.598196	+	0.690355i
$653$	0.480322	+	0.554321i	0.0187965	+	0.0216923i	0.765070	−	0.643947i	$-0.222704\pi$
$653$	0.480322	+	0.554321i	0.0187965	+	0.0216923i	−0.746274	+	0.665639i	$0.768159\pi$
$654$	6.69918	+	6.43663i	0.261959	+	0.251692i
$655$	−2.20696	−	1.00788i	−0.0862331	−	0.0393813i
$656$	−5.59745	+	6.45980i	−0.218544	+	0.252213i
$657$	−0.821180	−	20.5344i	−0.0320373	−	0.801122i
$658$	31.5516	−	9.26439i	1.23001	−	0.361163i
$659$	−34.9429	+	5.02404i	−1.36118	+	0.195709i	−0.783926	−	0.620854i	$-0.786786\pi$
$659$	−34.9429	+	5.02404i	−1.36118	+	0.195709i	−0.577257	+	0.816562i	$0.695877\pi$
$660$	−34.8484	−	12.2102i	−1.35647	−	0.475282i
$661$	11.8658	−	5.41893i	0.461526	−	0.210772i	−0.171062	−	0.985260i	$-0.554720\pi$
$661$	11.8658	−	5.41893i	0.461526	−	0.210772i	0.632588	+	0.774488i	$0.281993\pi$
$662$	7.57953	−	25.8135i	0.294587	−	1.00327i
$663$	9.28324	−	17.8395i	0.360531	−	0.692830i
$664$	−16.1300	−	2.31915i	−0.625966	−	0.0900004i
$665$	−22.4215	+	3.22373i	−0.869469	+	0.125011i
$666$	−8.83216	−	12.6055i	−0.342239	−	0.488453i
$667$	14.2758	+	9.17447i	0.552759	+	0.355237i
$668$	−3.52933	+	1.61179i	−0.136554	+	0.0623621i
$669$	1.79254	+	2.29739i	0.0693037	+	0.0888222i
$670$	−11.4107	+	31.0334i	−0.440834	+	1.19893i
$671$		−	15.4502i		−	0.596447i
$672$	5.48891	+	2.85629i	0.211739	+	0.110184i
$673$	−15.4373	+	24.0209i	−0.595064	+	0.925938i	0.404869	+	0.914375i	$0.367317\pi$
$673$	−15.4373	+	24.0209i	−0.595064	+	0.925938i	−0.999933	+	0.0115633i	$0.996319\pi$
$674$	24.0106	+	20.8053i	0.924855	+	0.801392i
$675$	31.2256	+	49.8330i	1.20187	+	1.91807i
$676$	−0.357536	+	2.48672i	−0.0137514	+	0.0956429i
$677$	−4.29497	−	9.40468i	−0.165069	−	0.361451i	0.808963	−	0.587859i	$-0.200029\pi$
$677$	−4.29497	−	9.40468i	−0.165069	−	0.361451i	−0.974033	+	0.226408i	$0.927302\pi$
$678$	−3.09781	−	7.82435i	−0.118971	−	0.300492i
$679$	14.3838	+	31.4961i	0.551999	+	1.20871i
$680$	7.82990	+	12.1836i	0.300263	+	0.467218i
$681$	23.2208	+	22.3107i	0.889822	+	0.854949i
$682$	4.87962	+	16.6185i	0.186850	+	0.636354i
$683$	−0.142317	+	0.0417880i	−0.00544561	+	0.00159897i	−0.284454	−	0.958690i	$-0.591812\pi$
$683$	−0.142317	+	0.0417880i	−0.00544561	+	0.00159897i	0.279009	+	0.960289i	$0.409994\pi$
$684$	2.70220	+	3.85666i	0.103321	+	0.147463i
$685$	−14.6565	+	32.0932i	−0.559995	+	1.22622i
$686$	−4.37698	+	0.629315i	−0.167114	+	0.0240274i
$687$	−12.7981	−	2.51732i	−0.488279	−	0.0960416i
$688$	2.21972	+	1.92340i	0.0846259	+	0.0733288i
$689$	20.4235	+	9.32712i	0.778075	+	0.355335i
$690$	−21.0403	+	1.92813i	−0.800990	+	0.0734025i
$691$	2.56103	−	17.8124i	0.0974263	−	0.677615i	−0.881317	−	0.472525i	$-0.843342\pi$
$691$	2.56103	−	17.8124i	0.0974263	−	0.677615i	0.978743	−	0.205089i	$-0.0657484\pi$
$692$	0.480233	+	0.747257i	0.0182557	+	0.0284065i
$693$	38.7186	+	41.2323i	1.47080	+	1.56629i
$694$	10.3454	+	11.9392i	0.392705	+	0.453206i
$695$	22.0199	+	74.9930i	0.835264	+	2.84465i
$696$	−9.55017	−	1.87846i	−0.361998	−	0.0712029i
$697$	30.3331	+	4.36125i	1.14895	+	0.165194i
$698$	−33.4129	−	9.81090i	−1.26470	−	0.371348i
$699$	−27.6894	−	35.4878i	−1.04731	−	1.34227i
$700$			40.4311i			1.52815i
$701$	42.3372	+	12.4313i	1.59906	+	0.469525i	0.955283	−	0.295692i	$-0.0955503\pi$
$701$	42.3372	+	12.4313i	1.59906	+	0.469525i	0.643772	+	0.765217i	$0.277369\pi$
$702$	−14.0512	−	9.25912i	−0.530329	−	0.349463i
$703$	3.34554	−	7.32572i	0.126180	−	0.276295i
$704$	−2.19241	+	4.80070i	−0.0826294	+	0.180933i
$705$	21.2962	−	60.7800i	0.802061	−	2.28911i
$706$	0.214223	+	0.0629016i	0.00806240	+	0.00236733i
$707$			39.1279i			1.47156i
$708$	8.86163	−	6.91431i	0.333040	−	0.259855i
$709$	−47.9360	−	14.0753i	−1.80028	−	0.528609i	−0.802585	−	0.596537i	$-0.796543\pi$
$709$	−47.9360	−	14.0753i	−1.80028	−	0.528609i	−0.997690	+	0.0679289i	$0.978361\pi$
$710$	20.4290	+	2.93724i	0.766685	+	0.110233i
$711$	−22.8321	−	45.1304i	−0.856271	−	1.69252i
$712$	2.33035	+	7.93646i	0.0873337	+	0.297431i
$713$	6.48990	+	7.48974i	0.243049	+	0.280493i
$714$	−2.02446	−	22.0916i	−0.0757637	−	0.826756i
$715$	37.3264	+	58.0810i	1.39593	+	2.17211i
$716$	2.49748	−	17.3704i	0.0933354	−	0.649162i
$717$	1.82695	+	19.9362i	0.0682286	+	0.744531i
$718$	1.06621	+	0.486920i	0.0397905	+	0.0181717i
$719$	−1.15039	−	0.996821i	−0.0429024	−	0.0371751i	0.633146	−	0.774033i	$-0.281763\pi$
$719$	−1.15039	−	0.996821i	−0.0429024	−	0.0371751i	−0.676048	+	0.736858i	$0.736309\pi$
$720$	10.8134	−	5.47067i	0.402992	−	0.203880i
$721$	0.0743616	−	0.0106916i	0.00276937	−	0.000398175i
$722$	6.86931	−	15.0417i	0.255649	−	0.559794i
$723$	−22.7132	−	1.16884i	−0.844715	−	0.0434695i
$724$	−13.1504	+	3.86131i	−0.488732	+	0.143505i
$725$	−17.9178	−	61.0223i	−0.665449	−	2.26631i
$726$	−20.2245	+	21.0494i	−0.750601	+	0.781218i
$727$	0.524617	+	0.816320i	0.0194570	+	0.0302756i	0.850846	−	0.525415i	$-0.176090\pi$
$727$	0.524617	+	0.816320i	0.0194570	+	0.0302756i	−0.831389	+	0.555691i	$0.812454\pi$
$728$	−4.80601	−	10.5237i	−0.178123	−	0.390034i
$729$	−23.0420	+	14.0736i	−0.853408	+	0.521243i
$730$	−11.4952	−	25.1710i	−0.425457	−	0.931621i
$731$	1.49861	−	10.4231i	0.0554282	−	0.385511i
$732$	3.65635	+	3.51305i	0.135143	+	0.129846i
$733$	−32.8515	−	28.4660i	−1.21340	−	1.05142i	−0.997178	−	0.0750721i	$-0.976081\pi$
$733$	−32.8515	−	28.4660i	−1.21340	−	1.05142i	−0.216221	−	0.976344i	$-0.569373\pi$
$734$	4.13033	−	6.42692i	0.152453	−	0.237222i
$735$	18.6104	−	35.7634i	0.686454	−	1.31915i
$736$			3.01981i			0.111312i
$737$	30.6883	+	30.4041i	1.13042	+	1.11995i
$738$	6.23545	−	24.8729i	0.229530	−	0.915586i
$739$	−0.481455	+	0.219873i	−0.0177106	+	0.00808816i	−0.424251	−	0.905545i	$-0.639462\pi$
$739$	−0.481455	+	0.219873i	−0.0177106	+	0.00808816i	0.406540	+	0.913633i	$0.366735\pi$
$740$	−17.4350	−	11.2048i	−0.640922	−	0.411896i
$741$	0.452500	−	8.79315i	0.0166230	−	0.323024i
$742$	24.5157	−	3.52483i	0.900000	−	0.129400i
$743$	34.5263	+	4.96414i	1.26665	+	0.182116i	0.742695	−	0.669630i	$-0.233547\pi$
$743$	34.5263	+	4.96414i	1.26665	+	0.182116i	0.523954	+	0.851747i	$0.324457\pi$
$744$	−5.04236	−	2.62392i	−0.184862	−	0.0961974i
$745$	10.4389	−	35.5517i	0.382452	−	1.30251i
$746$	−7.08175	+	3.23413i	−0.259281	+	0.118410i
$747$	46.3196	−	15.6366i	1.69474	−	0.572113i
$748$	18.7290	−	2.69283i	0.684801	−	0.0984595i
$749$	−50.6626	+	14.8759i	−1.85117	+	0.543553i
$750$	35.9076	+	25.7767i	1.31116	+	0.941232i
$751$	1.89758	−	2.18993i	0.0692438	−	0.0799117i	−0.720071	−	0.693901i	$-0.755891\pi$
$751$	1.89758	−	2.18993i	0.0692438	−	0.0799117i	0.789315	+	0.613989i	$0.210436\pi$
$752$	−8.37303	−	3.82384i	−0.305333	−	0.139441i
$753$	−5.89775	+	6.13831i	−0.214926	+	0.223693i
$754$	11.9174	+	13.7534i	0.434007	+	0.500871i
$755$	−8.19973	+	9.46299i	−0.298419	+	0.344394i
$756$	−18.5616	−	0.212465i	−0.675080	−	0.00772728i
$757$	6.11686	−	9.51802i	0.222321	−	0.345938i	−0.712119	−	0.702059i	$-0.752264\pi$
$757$	6.11686	−	9.51802i	0.222321	−	0.345938i	0.934440	+	0.356120i	$0.115901\pi$
$758$	13.8270	+	1.98802i	0.502219	+	0.0722081i
$759$	−9.12798	+	26.0516i	−0.331325	+	0.945612i
$760$	5.33424	+	3.42811i	0.193493	+	0.124351i
$761$	−8.98259	+	7.78345i	−0.325618	+	0.282150i	−0.802294	−	0.596929i	$-0.796387\pi$
$761$	−8.98259	+	7.78345i	−0.325618	+	0.282150i	0.476675	+	0.879079i	$0.341842\pi$
$762$	20.1268	+	14.4483i	0.729119	+	0.523407i
$763$	−12.5481	−	14.4813i	−0.454273	−	0.524260i
$764$	2.16908	−	15.0863i	0.0784745	−	0.545802i
$765$	−37.4601	−	22.0104i	−1.35437	−	0.795788i
$766$	11.6065			0.419359
$767$	−21.0157			−0.758832
$768$	−0.637599	−	1.61042i	−0.0230074	−	0.0581112i
$769$	16.3704	+	25.4729i	0.590332	+	0.918575i	0.999980	+	0.00633123i	$0.00201531\pi$
$769$	16.3704	+	25.4729i	0.590332	+	0.918575i	−0.409648	+	0.912244i	$0.634348\pi$
$770$	69.2780	+	31.6382i	2.49660	+	1.14016i
$771$	−0.846124	−	3.54678i	−0.0304724	−	0.127734i
$772$	−5.69540	+	3.66021i	−0.204982	+	0.131734i
$773$	−1.77329	+	6.03928i	−0.0637809	+	0.217218i	−0.985217	−	0.171313i	$-0.945199\pi$
$773$	−1.77329	+	6.03928i	−0.0637809	+	0.217218i	0.921436	+	0.388531i	$0.127017\pi$
$774$	−8.54684	−	2.14263i	−0.307210	−	0.0770152i
$775$		−	37.1418i		−	1.33417i
$776$	2.73065	−	9.29973i	0.0980245	−	0.333841i
$777$	15.7680	+	27.5533i	0.565674	+	0.988467i
$778$	3.67881	−	3.18770i	0.131892	−	0.114285i
$779$	12.8736	−	3.78004i	0.461245	−	0.135434i
$780$	−22.2324	−	4.37298i	−0.796047	−	0.156578i
$781$	14.5784	−	22.6844i	0.521655	−	0.811712i
$782$	9.10805	−	5.85339i	0.325703	−	0.209317i
$783$	28.1090	−	7.90523i	1.00453	−	0.282510i
$784$	−4.84746	−	3.11527i	−0.173124	−	0.111260i
$785$	−14.5380	+	31.8337i	−0.518883	+	1.13620i
$786$	0.0534640	−	1.03893i	0.00190700	−	0.0370575i
$787$	2.81910	−	2.44276i	0.100490	−	0.0870751i	−0.603167	−	0.797615i	$-0.706095\pi$
$787$	2.81910	−	2.44276i	0.100490	−	0.0870751i	0.703657	+	0.710540i	$0.251549\pi$
$788$	−0.734283	−	5.10705i	−0.0261577	−	0.181931i
$789$	−4.50667	−	18.8910i	−0.160442	−	0.672538i
$790$	−51.4683	−	44.5975i	−1.83116	−	1.58671i
$791$	4.88998	+	16.6538i	0.173868	+	0.592139i
$792$	−0.632660	−	15.8202i	−0.0224806	−	0.562148i
$793$	−1.34923	−	9.38407i	−0.0479124	−	0.333238i
$794$	−18.1968	+	11.6944i	−0.645780	+	0.415018i
$795$	22.3920	−	43.0305i	0.794162	−	1.52613i
$796$	−8.37730	−	2.45980i	−0.296926	−	0.0871852i
$797$	−11.8055	+	5.39137i	−0.418171	+	0.190972i	−0.613377	−	0.789790i	$-0.710189\pi$
$797$	−11.8055	+	5.39137i	−0.418171	+	0.190972i	0.195207	+	0.980762i	$0.437462\pi$
$798$	−4.82423	−	8.42993i	−0.170776	−	0.298416i
$799$	4.69663	+	32.6658i	0.166155	+	1.15563i
$800$	7.41144	−	8.55326i	0.262034	−	0.302403i
$801$	−16.9865	−	18.0893i	−0.600187	−	0.639153i
$802$	8.05467	+	17.6373i	0.284420	+	0.622794i
$803$	−36.1531			−1.27582
$804$	−14.1731	+	0.349251i	−0.499848	+	0.0123171i
$805$	43.5782			1.53593
$806$	4.41502	+	9.66754i	0.155512	+	0.340525i
$807$	9.21922	−	0.844846i	0.324532	−	0.0297400i
$808$	7.17255	−	8.27756i	0.252329	−	0.291204i
$809$	−6.65991	−	46.3207i	−0.234150	−	1.62855i	−0.679840	−	0.733361i	$-0.737951\pi$
$809$	−6.65991	−	46.3207i	−0.234150	−	1.62855i	0.445690	−	0.895187i	$-0.352958\pi$
$810$	−21.5378	+	29.2891i	−0.756759	+	1.02911i
$811$	36.3366	−	16.5944i	1.27595	−	0.582708i	0.341863	−	0.939750i	$-0.388942\pi$
$811$	36.3366	−	16.5944i	1.27595	−	0.582708i	0.934088	+	0.357042i	$0.116215\pi$
$812$	19.2618	+	5.65578i	0.675958	+	0.198479i
$813$	−0.0983921	−	0.0512008i	−0.00345076	−	0.00179569i
$814$	−22.7789	+	14.6391i	−0.798400	+	0.513100i
$815$	−13.4090	−	93.2617i	−0.469697	−	3.26681i
$816$	−3.62133	+	5.04460i	−0.126772	+	0.176596i
$817$	−1.29890	−	4.42364i	−0.0454426	−	0.154763i
$818$	−8.53741	−	7.39771i	−0.298504	−	0.258655i
$819$	27.1175	+	21.6623i	0.947562	+	0.756944i
$820$	−4.91382	−	34.1764i	−0.171598	−	1.19349i
$821$	−3.01863	+	2.61566i	−0.105351	+	0.0912872i	−0.705944	−	0.708268i	$-0.749477\pi$
$821$	−3.01863	+	2.61566i	−0.105351	+	0.0912872i	0.600593	+	0.799555i	$0.294931\pi$
$822$	−15.1079	−	0.777463i	−0.526950	−	0.0271171i
$823$	−20.7855	+	45.5138i	−0.724536	+	1.58651i	0.0828998	+	0.996558i	$0.473582\pi$
$823$	−20.7855	+	45.5138i	−0.724536	+	1.58651i	−0.807436	+	0.589955i	$0.799145\pi$
$824$	−0.0176912	−	0.0113694i	−0.000616301	−	0.000396072i
$825$	89.7917	−	51.3855i	3.12615	−	1.78901i
$826$	−19.5026	+	12.5336i	−0.678582	+	0.436098i
$827$	9.51320	−	14.8028i	0.330807	−	0.514745i	−0.635513	−	0.772090i	$-0.719211\pi$
$827$	9.51320	−	14.8028i	0.330807	−	0.514745i	0.966320	+	0.257345i	$0.0828477\pi$
$828$	−4.08970	−	8.08377i	−0.142127	−	0.280931i
$829$	−19.7461	+	5.79798i	−0.685811	+	0.201372i	−0.606032	−	0.795440i	$-0.707240\pi$
$829$	−19.7461	+	5.79798i	−0.685811	+	0.201372i	−0.0797789	+	0.996813i	$0.525421\pi$
$830$	49.7489	−	43.1077i	1.72681	−	1.49629i
$831$	21.1016	−	12.0759i	0.732006	−	0.418908i
$832$	−0.912384	+	3.10729i	−0.0316312	+	0.107726i
$833$			20.6589i			0.715787i
$834$	−26.4218	+	20.6156i	−0.914911	+	0.713861i
$835$	4.41562	−	15.0382i	0.152809	−	0.520419i
$836$	6.96921	−	4.47884i	0.241035	−	0.154904i
$837$	17.0515	+	0.195180i	0.589387	+	0.00674641i
$838$	−0.909207	−	0.415221i	−0.0314080	−	0.0143436i
$839$	0.449711	+	0.699764i	0.0155258	+	0.0241585i	0.848930	−	0.528506i	$-0.177248\pi$
$839$	0.449711	+	0.699764i	0.0155258	+	0.0241585i	−0.833404	+	0.552664i	$0.813611\pi$
$840$	−23.2397	+	9.20106i	−0.801846	+	0.317467i
$841$	−2.57812			−0.0889005
$842$	−25.0884			−0.864604
$843$	−4.99956	−	12.6277i	−0.172194	−	0.434922i
$844$	−0.855382	+	5.94931i	−0.0294435	+	0.204784i
$845$	−6.64578	−	7.66964i	−0.228622	−	0.263844i
$846$	27.5925	−	1.10344i	0.948650	−	0.0379370i
$847$	45.5017	−	39.4274i	1.56346	−	1.35474i
$848$	−5.83246	−	3.74829i	−0.200288	−	0.128717i
$849$	−28.1411	−	9.86012i	−0.965801	−	0.338399i
$850$	−40.1633	−	5.77461i	−1.37759	−	0.198068i
$851$	−8.37634	+	13.0338i	−0.287137	+	0.446794i
$852$	2.05354	+	8.60801i	0.0703530	+	0.294906i
$853$	−21.3693	+	24.6615i	−0.731671	+	0.844394i	−0.992659	−	0.120948i	$-0.961406\pi$
$853$	−21.3693	+	24.6615i	−0.731671	+	0.844394i	0.260987	+	0.965342i	$0.415952\pi$
$854$	−6.84866	−	7.90378i	−0.234356	−	0.270462i
$855$	−18.9220	−	1.95264i	−0.647118	−	0.0667790i
$856$	13.4446	+	6.13996i	0.459528	+	0.209859i
$857$	31.4735	−	36.3224i	1.07512	−	1.24075i	0.105941	−	0.994372i	$-0.466214\pi$
$857$	31.4735	−	36.3224i	1.07512	−	1.24075i	0.969174	−	0.246377i	$-0.0792401\pi$
$858$	−17.2635	+	24.0484i	−0.589365	+	0.821000i
$859$	4.88201	−	1.43349i	0.166572	−	0.0489100i	−0.197383	−	0.980326i	$-0.563244\pi$
$859$	4.88201	−	1.43349i	0.166572	−	0.0489100i	0.363955	+	0.931416i	$0.381426\pi$
$860$	−11.7437	+	1.68849i	−0.400456	+	0.0575770i
$861$	−17.4888	+	49.9137i	−0.596017	+	1.70105i
$862$	−4.81890	+	2.20072i	−0.164132	+	0.0749567i
$863$	−7.27907	+	24.7902i	−0.247782	+	0.843870i	0.737850	+	0.674965i	$0.235841\pi$
$863$	−7.27907	+	24.7902i	−0.247782	+	0.843870i	−0.985632	+	0.168905i	$0.945977\pi$
$864$	3.88779	+	3.44748i	0.132265	+	0.117286i
$865$	−3.55163	−	0.510648i	−0.120759	−	0.0173625i
$866$	−33.7761	+	4.85626i	−1.14776	+	0.165023i
$867$	−7.17158	−	0.369054i	−0.243560	−	0.0125337i
$868$	9.86278	+	6.33842i	0.334765	+	0.215140i
$869$	−80.9354	+	36.9619i	−2.74554	+	1.25385i
$870$	30.9978	−	24.1861i	1.05093	−	0.819987i
$871$	21.2945	+	15.7868i	0.721535	+	0.534915i
$872$			5.36375i			0.181639i
$873$	5.28484	+	28.5927i	0.178865	+	0.967717i
$874$	2.56275	−	3.98771i	0.0866862	−	0.134886i
$875$	−68.9000	−	59.7021i	−2.32924	−	2.01830i
$876$	8.22049	−	8.55580i	0.277745	−	0.289074i
$877$	5.64831	−	39.2849i	0.190730	−	1.32656i	−0.639352	−	0.768914i	$-0.720797\pi$
$877$	5.64831	−	39.2849i	0.190730	−	1.32656i	0.830082	−	0.557642i	$-0.188294\pi$
$878$	−11.2719	−	24.6820i	−0.380408	−	0.832977i
$879$	40.8568	−	16.1760i	1.37807	−	0.545604i
$880$	−8.85623	−	19.3924i	−0.298544	−	0.653719i
$881$	−30.1468	−	46.9093i	−1.01567	−	1.58041i	−0.796418	−	0.604747i	$-0.793274\pi$
$881$	−30.1468	−	46.9093i	−1.01567	−	1.58041i	−0.219253	−	0.975668i	$-0.570362\pi$
$882$	17.1952	+	1.77445i	0.578994	+	0.0597489i
$883$	9.67382	+	32.9460i	0.325550	+	1.10872i	0.945917	+	0.324410i	$0.105166\pi$
$883$	9.67382	+	32.9460i	0.325550	+	1.10872i	−0.620367	+	0.784312i	$0.713016\pi$
$884$	11.1404	−	3.27112i	0.374693	−	0.110020i
$885$	−2.33341	+	45.3437i	−0.0784369	+	1.52421i
$886$	−9.51175	+	20.8278i	−0.319554	+	0.699725i
$887$	9.60338	−	1.38076i	0.322450	−	0.0463613i	0.0208107	−	0.999783i	$-0.493375\pi$
$887$	9.60338	−	1.38076i	0.322450	−	0.0463613i	0.301639	+	0.953422i	$0.402466\pi$
$888$	1.71505	−	8.71936i	0.0575532	−	0.292603i
$889$	−38.6197	−	33.4641i	−1.29526	−	1.12235i
$890$	−30.3933	−	13.8802i	−1.01879	−	0.465264i
$891$	23.1188	+	41.4927i	0.774510	+	1.39006i
$892$	−0.239428	+	1.66526i	−0.00801663	+	0.0557569i
$893$	7.81167	+	12.1552i	0.261407	+	0.406758i
$894$	15.8210	−	1.44983i	0.529135	−	0.0484897i
$895$	46.4226	+	53.5745i	1.55174	+	1.79080i
$896$	1.00647	+	3.42771i	0.0336237	+	0.114512i
$897$	−3.26911	+	16.6202i	−0.109152	+	0.554934i
$898$	−36.9405	−	5.31124i	−1.23272	−	0.177238i
$899$	−17.6948	−	5.19565i	−0.590153	−	0.173285i
$900$	−8.25620	+	32.9336i	−0.275207	+	1.09779i
$901$			24.8567i			0.828098i
$902$	−43.2835	−	12.7092i	−1.44118	−	0.423169i
$903$	17.1513	+	6.00951i	0.570761	+	0.199984i
$904$	2.01832	−	4.41950i	0.0671283	−	0.146991i
$905$	22.9990	−	50.3607i	0.764511	−	1.67405i
$906$	−5.06686	−	1.77533i	−0.168335	−	0.0589814i
$907$	−33.5384	−	9.84777i	−1.11363	−	0.326990i	−0.327373	−	0.944895i	$-0.606163\pi$
$907$	−33.5384	−	9.84777i	−1.11363	−	0.326990i	−0.786253	+	0.617905i	$0.787982\pi$
$908$			18.5919i			0.616993i
$909$	−7.99008	+	31.8721i	−0.265014	+	1.05713i
$910$	44.8407	+	13.1664i	1.48646	+	0.436463i
$911$	−0.457892	−	0.0658349i	−0.0151706	−	0.00218121i	0.134725	−	0.990883i	$-0.456985\pi$
$911$	−0.457892	−	0.0658349i	−0.0151706	−	0.00218121i	−0.149896	+	0.988702i	$0.547894\pi$
$912$	−0.524720	+	2.66769i	−0.0173752	+	0.0883361i
$913$	−24.2300	−	82.5199i	−0.801897	−	2.73101i
$914$	−7.21826	−	8.33032i	−0.238759	−	0.275543i
$915$	−20.3970	+	1.86918i	−0.674305	+	0.0617931i
$916$	−4.07134	−	6.33512i	−0.134521	−	0.209318i
$917$	−0.305361	+	2.12383i	−0.0100839	+	0.0701351i
$918$	2.86214	−	18.4083i	0.0944646	−	0.607565i
$919$	−17.7840	−	8.12169i	−0.586641	−	0.267910i	0.0999044	−	0.994997i	$-0.468146\pi$
$919$	−17.7840	−	8.12169i	−0.586641	−	0.267910i	−0.686545	+	0.727087i	$0.740874\pi$
$920$	−9.21902	−	7.98833i	−0.303942	−	0.263367i
$921$	1.91513	−	9.73659i	0.0631057	−	0.320832i
$922$	0.470355	−	0.0676268i	0.0154903	−	0.00222717i
$923$	6.87360	−	15.0511i	0.226247	−	0.495412i
$924$	−1.67827	+	32.6128i	−0.0552111	+	1.07288i
$925$	55.7137	−	16.3590i	1.83185	−	0.537881i
$926$	4.98032	+	16.9614i	0.163663	+	0.557387i
$927$	0.0627553	+	0.00647599i	0.00206115	+	0.000212700i
$928$	−3.03810	−	4.72737i	−0.0997305	−	0.155184i
$929$	−2.62746	−	5.75334i	−0.0862043	−	0.188761i	0.861620	−	0.507553i	$-0.169450\pi$
$929$	−2.62746	−	5.75334i	−0.0862043	−	0.188761i	−0.947825	+	0.318792i	$0.896723\pi$
$930$	21.3490	−	8.45250i	0.700062	−	0.277168i
$931$	3.75740	+	8.22755i	0.123144	+	0.269647i
$932$	3.69844	−	25.7232i	0.121146	−	0.842591i
$933$	−3.72458	+	3.87650i	−0.121937	+	0.126911i
$934$	−1.65269	−	1.43206i	−0.0540777	−	0.0468586i
$935$	−41.3233	+	64.3003i	−1.35142	+	2.10284i
$936$	−1.76581	−	9.55360i	−0.0577172	−	0.312269i
$937$		−	6.31294i		−	0.206235i	−0.994669	−	0.103117i	$-0.967118\pi$
$937$		−	6.31294i		−	0.206235i	0.994669	−	0.103117i	$-0.0328817\pi$
$938$	29.1764	+	1.95035i	0.952643	+	0.0636813i
$939$	−45.0981	+	35.1879i	−1.47172	+	1.14831i
$940$	33.8229	−	15.4464i	1.10318	−	0.503806i
$941$	49.6982	+	31.9391i	1.62012	+	1.04119i	0.955920	+	0.293628i	$0.0948627\pi$
$941$	49.6982	+	31.9391i	1.62012	+	1.04119i	0.664197	+	0.747558i	$0.268774\pi$
$942$	−14.9858	−	0.771179i	−0.488264	−	0.0251264i
$943$	−25.5492	+	3.67342i	−0.831996	+	0.119623i
$944$	6.42332	+	0.923535i	0.209061	+	0.0300585i
$945$	49.7499	−	56.1039i	1.61836	−	1.82506i
$946$	−4.36713	+	14.8731i	−0.141988	+	0.483565i
$947$	33.5051	−	15.3013i	1.08877	−	0.497225i	0.211577	−	0.977361i	$-0.432140\pi$
$947$	33.5051	−	15.3013i	1.08877	−	0.497225i	0.877194	+	0.480137i	$0.159413\pi$
$948$	9.65585	−	27.5581i	0.313607	−	0.895046i
$949$	−21.9586	+	3.15717i	−0.712806	+	0.102486i
$950$	−17.0456	+	5.00505i	−0.553033	+	0.162385i
$951$	−25.3969	+	35.3785i	−0.823550	+	1.14723i
$952$	8.38747	−	9.67965i	0.271839	−	0.313719i
$953$	16.7861	+	7.66595i	0.543755	+	0.248324i	0.668303	−	0.743889i	$-0.267021\pi$
$953$	16.7861	+	7.66595i	0.543755	+	0.248324i	−0.124548	+	0.992214i	$0.539748\pi$
$954$	20.6893	+	2.13502i	0.669841	+	0.0691239i
$955$	40.3183	+	46.5298i	1.30467	+	1.50567i
$956$	−7.56914	+	8.73525i	−0.244803	+	0.282518i
$957$	−11.9199	−	49.9659i	−0.385316	−	1.61517i
$958$	13.6525	−	21.2437i	0.441092	−	0.686352i
$959$	30.8843	+	4.44050i	0.997308	+	0.143391i
$960$	6.60304	+	2.31358i	0.213112	+	0.0746705i
$961$	17.0185	+	10.9371i	0.548983	+	0.352810i
$962$	−12.5570	+	10.8807i	−0.404853	+	0.350807i
$963$	−44.3055	+	1.77180i	−1.42772	+	0.0570955i
$964$	−8.59888	−	9.92363i	−0.276951	−	0.319619i
$965$	3.89202	−	27.0696i	0.125289	−	0.871401i
$966$	6.87842	+	17.3733i	0.221310	+	0.558976i
$967$	−22.6326			−0.727815			−0.363908	−	0.931435i	$-0.618558\pi$
$967$	−22.6326			−0.727815			−0.363908	+	0.931435i	$0.618558\pi$
$968$	−16.8534			−0.541688
$969$	9.06311	−	3.58826i	0.291149	−	0.115272i
$970$	21.1673	+	32.9369i	0.679641	+	1.05754i
$971$	−8.87911	−	4.05495i	−0.284944	−	0.130130i	0.267816	−	0.963470i	$-0.413698\pi$
$971$	−8.87911	−	4.05495i	−0.284944	−	0.130130i	−0.552760	+	0.833340i	$0.686425\pi$
$972$	−15.0762	−	3.96342i	−0.483569	−	0.127127i
$973$	58.1488	−	37.3700i	1.86416	−	1.19803i
$974$	0.563101	−	1.91775i	0.0180429	−	0.0614485i
$975$	50.0500	−	39.0517i	1.60288	−	1.25065i
$976$			2.92748i			0.0937064i
$977$	−11.0925	+	37.7774i	−0.354879	+	1.20861i	0.567842	+	0.823138i	$0.307779\pi$
$977$	−11.0925	+	37.7774i	−0.354879	+	1.20861i	−0.922721	+	0.385469i	$0.874040\pi$
$978$	35.0641	−	20.0663i	1.12122	−	0.641648i
$979$	−32.9915	+	28.5873i	−1.05441	+	0.913653i
$980$	22.3335	−	6.55771i	0.713418	−	0.209478i
$981$	−7.26408	−	14.3583i	−0.231924	−	0.458426i
$982$	18.8888	−	29.3915i	0.602765	−	0.937920i
$983$	19.1218	−	12.2888i	0.609890	−	0.391952i	−0.198926	−	0.980014i	$-0.563745\pi$
$983$	19.1218	−	12.2888i	0.609890	−	0.391952i	0.808816	+	0.588062i	$0.200109\pi$
$984$	12.8495	−	7.35342i	0.409626	−	0.234418i
$985$	17.5335	+	11.2681i	0.558663	+	0.359031i
$986$	−8.36940	+	18.3264i	−0.266536	+	0.583633i
$987$	−56.8808	−	2.92712i	−1.81054	−	0.0931712i
$988$	3.84181	−	3.32895i	0.122224	−	0.105908i
$989$	1.26226	+	8.77922i	0.0401376	+	0.279163i
$990$	49.9705	+	39.9181i	1.58817	+	1.26868i
$991$	−16.7339	−	14.5000i	−0.531571	−	0.460609i	0.347242	−	0.937776i	$-0.387118\pi$
$991$	−16.7339	−	14.5000i	−0.531571	−	0.460609i	−0.878813	+	0.477167i	$0.841664\pi$
$992$	−0.924585	−	3.14885i	−0.0293556	−	0.0999760i
$993$	−27.1740	+	37.8541i	−0.862342	+	1.20126i
$994$	−2.59761	−	18.0668i	−0.0823912	−	0.573044i
$995$	29.6700	−	19.0677i	0.940601	−	0.604488i
$996$	25.0381	+	13.0292i	0.793363	+	0.412846i
$997$	−4.95821	−	1.45586i	−0.157028	−	0.0461076i	0.202274	−	0.979329i	$-0.435167\pi$
$997$	−4.95821	−	1.45586i	−0.157028	−	0.0461076i	−0.359302	+	0.933221i	$0.616985\pi$
$998$	−6.45127	+	2.94620i	−0.204211	+	0.0932602i
$999$	7.21752	+	25.6637i	0.228352	+	0.811963i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	402.2.j.b.53.6	yes	120
3.2	odd	2		402.2.j.a.53.2	✓	120
67.43	odd	22		402.2.j.a.311.2	yes	120
201.110	even	22	inner	402.2.j.b.311.6	yes	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
402.2.j.a.53.2	✓	120	3.2	odd	2
402.2.j.a.311.2	yes	120	67.43	odd	22
402.2.j.b.53.6	yes	120	1.1	even	1	trivial
402.2.j.b.311.6	yes	120	201.110	even	22	inner

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:	\( N \)	\(=\)	\( 402 = 2 \cdot 3 \cdot 67 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	402.j (of order \(22\), degree \(10\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.415415 - 0.909632i) q^{2} +(0.158062 + 1.72482i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-0.574881 - 3.99839i) q^{5} +(1.50329 - 0.860296i) q^{6} +(-3.24959 + 1.48404i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.95003 + 0.545259i) q^{9} +O(q^{10})\)	\(q+(-0.415415 - 0.909632i) q^{2} +(0.158062 + 1.72482i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-0.574881 - 3.99839i) q^{5} +(1.50329 - 0.860296i) q^{6} +(-3.24959 + 1.48404i) q^{7} +(0.959493 + 0.281733i) q^{8} +(-2.95003 + 0.545259i) q^{9} +(-3.39825 + 2.18392i) q^{10} +(0.751085 + 5.22391i) q^{11} +(-1.40704 - 1.01006i) q^{12} +(0.912384 + 3.10729i) q^{13} +(2.69985 + 2.33944i) q^{14} +(6.80564 - 1.62356i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-2.70955 + 2.34784i) q^{17} +(1.72147 + 2.45694i) q^{18} +(-0.652079 + 1.42785i) q^{19} +(3.39825 + 2.18392i) q^{20} +(-3.07334 - 5.37039i) q^{21} +(4.43983 - 2.85330i) q^{22} +(1.63263 - 2.54042i) q^{23} +(-0.334279 + 1.69949i) q^{24} +(-10.8591 + 3.18853i) q^{25} +(2.44748 - 2.12075i) q^{26} +(-1.40676 - 5.00210i) q^{27} +(1.00647 - 3.42771i) q^{28} +5.61944i q^{29} +(-4.30401 - 5.51618i) q^{30} +(-0.924585 + 3.14885i) q^{31} +(-0.841254 + 0.540641i) q^{32} +(-8.89161 + 2.12119i) q^{33} +(3.26126 + 1.48937i) q^{34} +(7.80188 + 12.1400i) q^{35} +(1.51978 - 2.58655i) q^{36} -5.13058 q^{37} +1.56970 q^{38} +(-5.21532 + 2.06485i) q^{39} +(0.574881 - 3.99839i) q^{40} +(-5.59745 - 6.45980i) q^{41} +(-3.60837 + 5.02655i) q^{42} +(-2.21972 + 1.92340i) q^{43} +(-4.43983 - 2.85330i) q^{44} +(3.87607 + 11.4819i) q^{45} +(-2.98907 - 0.429763i) q^{46} +(4.97652 - 7.74362i) q^{47} +(1.68477 - 0.401921i) q^{48} +(3.77343 - 4.35477i) q^{49} +(7.41144 + 8.55326i) q^{50} +(-4.47788 - 4.30239i) q^{51} +(-2.94582 - 1.34531i) q^{52} +(4.54019 - 5.23966i) q^{53} +(-3.96568 + 3.35759i) q^{54} +(20.4554 - 6.00626i) q^{55} +(-3.53606 + 0.508408i) q^{56} +(-2.56586 - 0.899031i) q^{57} +(5.11162 - 2.33440i) q^{58} +(-1.82827 + 6.22651i) q^{59} +(-3.22974 + 6.20657i) q^{60} +(-2.89768 - 0.416624i) q^{61} +(3.24838 - 0.467046i) q^{62} +(8.77720 - 6.14982i) q^{63} +(0.841254 + 0.540641i) q^{64} +(11.8996 - 5.43439i) q^{65} +(5.62321 + 7.20692i) q^{66} +(6.52982 - 4.93573i) q^{67} -3.58525i q^{68} +(4.63984 + 2.41445i) q^{69} +(7.80188 - 12.1400i) q^{70} +(-3.86135 - 3.34588i) q^{71} +(-2.98415 - 0.307948i) q^{72} +(-0.974893 + 6.78053i) q^{73} +(2.13132 + 4.66694i) q^{74} +(-7.21607 - 18.2261i) q^{75} +(-0.652079 - 1.42785i) q^{76} +(-10.1932 - 15.8609i) q^{77} +(4.04477 + 3.88625i) q^{78} +(4.74975 + 16.1762i) q^{79} +(-3.87587 + 1.13806i) q^{80} +(8.40538 - 3.21706i) q^{81} +(-3.55078 + 7.77512i) q^{82} +(-16.1300 + 2.31915i) q^{83} +(6.07128 + 1.19419i) q^{84} +(10.9452 + 9.48410i) q^{85} +(2.67169 + 1.22012i) q^{86} +(-9.69254 + 0.888222i) q^{87} +(-0.751085 + 5.22391i) q^{88} +(4.47192 + 6.95844i) q^{89} +(8.83413 - 8.29556i) q^{90} +(-7.57621 - 8.74341i) q^{91} +(0.850778 + 2.89748i) q^{92} +(-5.57735 - 1.09703i) q^{93} +(-9.11116 - 1.30999i) q^{94} +(6.08397 + 1.78642i) q^{95} +(-1.06548 - 1.36556i) q^{96} -9.69234i q^{97} +(-5.52878 - 1.62340i) q^{98} +(-5.06411 - 15.0012i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q + 12 q^{2} - q^{3} - 12 q^{4} + q^{6} + 12 q^{8} - 5 q^{9}+O(q^{10}) \) 120 * q + 12 * q^2 - q^3 - 12 * q^4 + q^6 + 12 * q^8 - 5 * q^9	\( 120 q + 12 q^{2} - q^{3} - 12 q^{4} + q^{6} + 12 q^{8} - 5 q^{9} - 6 q^{11} - q^{12} + 33 q^{14} + 4 q^{15} - 12 q^{16} - 33 q^{17} - 6 q^{18} - 2 q^{19} - 55 q^{21} + 6 q^{22} + 22 q^{23} - 10 q^{24} - 24 q^{25} - 22 q^{26} + 5 q^{27} - 4 q^{30} - 22 q^{31} + 12 q^{32} + 11 q^{33} + 22 q^{35} - 5 q^{36} + 22 q^{37} - 20 q^{38} + 27 q^{39} + 8 q^{41} - 11 q^{42} + 22 q^{43} - 6 q^{44} - 9 q^{45} - 12 q^{48} + 2 q^{49} + 46 q^{50} - 6 q^{51} - 33 q^{52} - 22 q^{53} + 6 q^{54} - 36 q^{55} + 4 q^{57} - 22 q^{58} + 33 q^{59} + 4 q^{60} + 22 q^{61} - 55 q^{62} - 19 q^{63} - 12 q^{64} + 11 q^{66} - 14 q^{67} + 10 q^{69} + 22 q^{70} - 6 q^{72} - 79 q^{73} + 44 q^{74} + 46 q^{75} - 2 q^{76} + 44 q^{77} + 6 q^{78} - 77 q^{79} - 253 q^{81} - 19 q^{82} + 99 q^{83} + 33 q^{84} - 80 q^{87} + 6 q^{88} + 22 q^{89} - 13 q^{90} + 8 q^{91} + 67 q^{93} - 22 q^{94} + 62 q^{95} + q^{96} - 2 q^{98} - 19 q^{99}+O(q^{100}) \) 120 * q + 12 * q^2 - q^3 - 12 * q^4 + q^6 + 12 * q^8 - 5 * q^9 - 6 * q^11 - q^12 + 33 * q^14 + 4 * q^15 - 12 * q^16 - 33 * q^17 - 6 * q^18 - 2 * q^19 - 55 * q^21 + 6 * q^22 + 22 * q^23 - 10 * q^24 - 24 * q^25 - 22 * q^26 + 5 * q^27 - 4 * q^30 - 22 * q^31 + 12 * q^32 + 11 * q^33 + 22 * q^35 - 5 * q^36 + 22 * q^37 - 20 * q^38 + 27 * q^39 + 8 * q^41 - 11 * q^42 + 22 * q^43 - 6 * q^44 - 9 * q^45 - 12 * q^48 + 2 * q^49 + 46 * q^50 - 6 * q^51 - 33 * q^52 - 22 * q^53 + 6 * q^54 - 36 * q^55 + 4 * q^57 - 22 * q^58 + 33 * q^59 + 4 * q^60 + 22 * q^61 - 55 * q^62 - 19 * q^63 - 12 * q^64 + 11 * q^66 - 14 * q^67 + 10 * q^69 + 22 * q^70 - 6 * q^72 - 79 * q^73 + 44 * q^74 + 46 * q^75 - 2 * q^76 + 44 * q^77 + 6 * q^78 - 77 * q^79 - 253 * q^81 - 19 * q^82 + 99 * q^83 + 33 * q^84 - 80 * q^87 + 6 * q^88 + 22 * q^89 - 13 * q^90 + 8 * q^91 + 67 * q^93 - 22 * q^94 + 62 * q^95 + q^96 - 2 * q^98 - 19 * q^99

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