LMFDB - Embedded newform 280.2.br.a.107.38

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [280,2,Mod(67,280)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(280, base_ring=CyclotomicField(12))

chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))

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

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

chi := DirichletCharacter("280.67");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 280 = 2^{3} \cdot 5 \cdot 7 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	280.br (of order $12$, degree $4$, minimal)

Newform invariants

comment: select newform

sage: f = N[0] # Warning: the index may be different

gp: f = lf[1] \\ Warning: the index may be different

Self dual:	no
Analytic conductor:	$2.23581125660$
Analytic rank:	$0$
Dimension:	$176$
Relative dimension:	$44$ over $\Q(\zeta_{12})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label			107.38
Character	$\chi$	$=$	280.107
Dual form			280.2.br.a.123.38

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(1.26878 - 0.624657i) q^{2} +(-2.34901 - 0.629416i) q^{3} +(1.21961 - 1.58511i) q^{4} +(2.03455 + 0.927699i) q^{5} +(-3.37355 + 0.668737i) q^{6} +(2.59582 + 0.511566i) q^{7} +(0.557266 - 2.77299i) q^{8} +(2.52362 + 1.45701i) q^{9} +O(q^{10})$	\(q+(1.26878 - 0.624657i) q^{2} +(-2.34901 - 0.629416i) q^{3} +(1.21961 - 1.58511i) q^{4} +(2.03455 + 0.927699i) q^{5} +(-3.37355 + 0.668737i) q^{6} +(2.59582 + 0.511566i) q^{7} +(0.557266 - 2.77299i) q^{8} +(2.52362 + 1.45701i) q^{9} +(3.16088 - 0.0938466i) q^{10} +(-2.68776 - 4.65534i) q^{11} +(-3.86256 + 2.95579i) q^{12} +(0.646818 + 0.646818i) q^{13} +(3.61308 - 0.972434i) q^{14} +(-4.19526 - 3.45975i) q^{15} +(-1.02512 - 3.86641i) q^{16} +(-0.0172462 + 0.0643638i) q^{17} +(4.11205 + 0.272232i) q^{18} +(-0.477150 - 0.275483i) q^{19} +(3.95185 - 2.09354i) q^{20} +(-5.77563 - 2.83553i) q^{21} +(-6.31817 - 4.22768i) q^{22} +(5.32137 - 1.42586i) q^{23} +(-3.05439 + 6.16303i) q^{24} +(3.27875 + 3.77489i) q^{25} +(1.22471 + 0.416631i) q^{26} +(0.147843 + 0.147843i) q^{27} +(3.97677 - 3.49074i) q^{28} -2.78419 q^{29} +(-7.48403 - 1.76906i) q^{30} +(-8.21294 + 4.74174i) q^{31} +(-3.71583 - 4.26528i) q^{32} +(3.38344 + 12.6272i) q^{33} +(0.0183236 + 0.0924365i) q^{34} +(4.80674 + 3.44895i) q^{35} +(5.38734 - 2.22322i) q^{36} +(1.53027 + 5.71106i) q^{37} +(-0.777482 - 0.0514719i) q^{38} +(-1.11227 - 1.92650i) q^{39} +(3.70628 - 5.12479i) q^{40} +4.40483 q^{41} +(-9.09924 + 0.0101282i) q^{42} +(-2.49728 + 2.49728i) q^{43} +(-10.6572 - 1.41730i) q^{44} +(3.78275 + 5.30552i) q^{45} +(5.86097 - 5.13313i) q^{46} +(2.23148 + 8.32799i) q^{47} +(-0.0255665 + 9.72747i) q^{48} +(6.47660 + 2.65587i) q^{49} +(6.51802 + 2.74142i) q^{50} +(0.0810233 - 0.140336i) q^{51} +(1.81414 - 0.236411i) q^{52} +(-0.213830 + 0.798024i) q^{53} +(0.279931 + 0.0952290i) q^{54} +(-1.14962 - 11.9649i) q^{55} +(2.86513 - 6.91311i) q^{56} +(0.947439 + 0.947439i) q^{57} +(-3.53252 + 1.73916i) q^{58} +(-5.94768 + 3.43389i) q^{59} +(-10.6006 + 2.43040i) q^{60} +(-3.60816 - 2.08317i) q^{61} +(-7.45845 + 11.1465i) q^{62} +(5.80551 + 5.07315i) q^{63} +(-7.37891 - 3.09058i) q^{64} +(0.715928 + 1.91603i) q^{65} +(12.1805 + 13.9076i) q^{66} +(-1.87796 + 7.00862i) q^{67} +(0.0809898 + 0.105836i) q^{68} -13.3974 q^{69} +(8.25311 + 1.37339i) q^{70} +12.4407i q^{71} +(5.44660 - 6.18602i) q^{72} +(-3.97448 - 1.06496i) q^{73} +(5.50904 + 6.29019i) q^{74} +(-5.32584 - 10.9310i) q^{75} +(-1.01861 + 0.420353i) q^{76} +(-4.59544 - 13.4594i) q^{77} +(-2.61463 - 1.74952i) q^{78} +(7.94301 - 13.7577i) q^{79} +(1.50122 - 8.81739i) q^{80} +(-4.62527 - 8.01120i) q^{81} +(5.58876 - 2.75151i) q^{82} +(9.13395 - 9.13395i) q^{83} +(-11.5386 + 5.69676i) q^{84} +(-0.0947985 + 0.114952i) q^{85} +(-1.60856 + 4.72845i) q^{86} +(6.54009 + 1.75241i) q^{87} +(-14.4070 + 4.85887i) q^{88} +(-12.2251 - 7.05819i) q^{89} +(8.11361 + 4.36862i) q^{90} +(1.34814 + 2.00992i) q^{91} +(4.22984 - 10.1739i) q^{92} +(22.2768 - 5.96906i) q^{93} +(8.03340 + 9.17248i) q^{94} +(-0.715219 - 1.00313i) q^{95} +(6.04390 + 12.3580i) q^{96} +(-6.04242 - 6.04242i) q^{97} +(9.87639 - 0.675937i) q^{98} -15.6644i q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	$ 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) $ 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/280\mathbb{Z}\right)^\times$.

$n$	$57$	$71$	$141$	$241$
$\chi(n)$	$e\left(\frac{1}{4}\right)$	$-1$	$-1$	$e\left(\frac{1}{3}\right)$

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 $

$2$	1.26878	−	0.624657i	0.897163	−	0.441699i
$2$	1.26878	−	0.624657i	0.897163	−	0.441699i
$3$	−2.34901	−	0.629416i	−1.35620	−	0.363394i	−0.493782	−	0.869586i	$-0.664386\pi$
$3$	−2.34901	−	0.629416i	−1.35620	−	0.363394i	−0.862421	+	0.506192i	$0.831053\pi$
$4$	1.21961	−	1.58511i	0.609803	−	0.792553i
$5$	2.03455	+	0.927699i	0.909876	+	0.414880i
$5$	2.03455	+	0.927699i	0.909876	+	0.414880i
$6$	−3.37355	+	0.668737i	−1.37725	+	0.273011i
$7$	2.59582	+	0.511566i	0.981129	+	0.193354i
$7$	2.59582	+	0.511566i	0.981129	+	0.193354i
$8$	0.557266	−	2.77299i	0.197023	−	0.980399i
$9$	2.52362	+	1.45701i	0.841206	+	0.485671i
$10$	3.16088	−	0.0938466i	0.999560	−	0.0296769i
$11$	−2.68776	−	4.65534i	−0.810391	−	1.40364i	−0.912591	−	0.408875i	$-0.865921\pi$
$11$	−2.68776	−	4.65534i	−0.810391	−	1.40364i	0.102199	−	0.994764i	$-0.467412\pi$
$12$	−3.86256	+	2.95579i	−1.11503	+	0.853264i
$13$	0.646818	+	0.646818i	0.179395	+	0.179395i	0.791092	−	0.611697i	$-0.209513\pi$
$13$	0.646818	+	0.646818i	0.179395	+	0.179395i	−0.611697	+	0.791092i	$0.709513\pi$
$14$	3.61308	−	0.972434i	0.965637	−	0.259894i
$15$	−4.19526	−	3.45975i	−1.08321	−	0.893304i
$16$	−1.02512	−	3.86641i	−0.256279	−	0.966603i
$17$	−0.0172462	+	0.0643638i	−0.00418283	+	0.0156105i	−0.967986	−	0.251005i	$-0.919239\pi$
$17$	−0.0172462	+	0.0643638i	−0.00418283	+	0.0156105i	0.963803	+	0.266616i	$0.0859055\pi$
$18$	4.11205	+	0.272232i	0.969220	+	0.0641656i
$19$	−0.477150	−	0.275483i	−0.109466	−	0.0632001i	0.444268	−	0.895894i	$-0.353464\pi$
$19$	−0.477150	−	0.275483i	−0.109466	−	0.0632001i	−0.553733	+	0.832694i	$0.686797\pi$
$20$	3.95185	−	2.09354i	0.883660	−	0.468130i
$21$	−5.77563	−	2.83553i	−1.26035	−	0.618763i
$22$	−6.31817	−	4.22768i	−1.34704	−	0.901344i
$23$	5.32137	−	1.42586i	1.10958	−	0.297311i	0.342921	−	0.939364i	$-0.388584\pi$
$23$	5.32137	−	1.42586i	1.10958	−	0.297311i	0.766660	+	0.642053i	$0.221917\pi$
$24$	−3.05439	+	6.16303i	−0.623474	+	1.25802i
$25$	3.27875	+	3.77489i	0.655750	+	0.754978i
$26$	1.22471	+	0.416631i	0.240185	+	0.0817080i
$27$	0.147843	+	0.147843i	0.0284524	+	0.0284524i
$28$	3.97677	−	3.49074i	0.751539	−	0.659689i
$29$	−2.78419			−0.517010			−0.258505	−	0.966010i	$-0.583230\pi$
$29$	−2.78419			−0.517010			−0.258505	+	0.966010i	$0.583230\pi$
$30$	−7.48403	−	1.76906i	−1.36639	−	0.322986i
$31$	−8.21294	+	4.74174i	−1.47509	+	0.851642i	−0.999606	−	0.0280841i	$-0.991059\pi$
$31$	−8.21294	+	4.74174i	−1.47509	+	0.851642i	−0.475481	+	0.879726i	$0.657726\pi$
$32$	−3.71583	−	4.26528i	−0.656872	−	0.754002i
$33$	3.38344	+	12.6272i	0.588982	+	2.19811i
$34$	0.0183236	+	0.0924365i	0.00314248	+	0.0158527i
$35$	4.80674	+	3.44895i	0.812487	+	0.582979i
$36$	5.38734	−	2.22322i	0.897890	−	0.370537i
$37$	1.53027	+	5.71106i	0.251576	+	0.938893i	0.969964	+	0.243250i	$0.0782137\pi$
$37$	1.53027	+	5.71106i	0.251576	+	0.938893i	−0.718388	+	0.695643i	$0.755120\pi$
$38$	−0.777482	−	0.0514719i	−0.126124	−	0.00834985i
$39$	−1.11227	−	1.92650i	−0.178105	−	0.308487i
$40$	3.70628	−	5.12479i	0.586014	−	0.810301i
$41$	4.40483			0.687919			0.343959	−	0.938985i	$-0.388232\pi$
$41$	4.40483			0.687919			0.343959	+	0.938985i	$0.388232\pi$
$42$	−9.09924	+	0.0101282i	−1.40404	+	0.00156282i
$43$	−2.49728	+	2.49728i	−0.380832	+	0.380832i	−0.871402	−	0.490570i	$-0.836789\pi$
$43$	−2.49728	+	2.49728i	−0.380832	+	0.380832i	0.490570	+	0.871402i	$0.336789\pi$
$44$	−10.6572	−	1.41730i	−1.60664	−	0.213666i
$45$	3.78275	+	5.30552i	0.563899	+	0.790900i
$46$	5.86097	−	5.13313i	0.864153	−	0.756838i
$47$	2.23148	+	8.32799i	0.325495	+	1.21476i	0.913814	+	0.406134i	$0.133123\pi$
$47$	2.23148	+	8.32799i	0.325495	+	1.21476i	−0.588319	+	0.808629i	$0.700210\pi$
$48$	−0.0255665	+	9.72747i	−0.00369020	+	1.40404i
$49$	6.47660	+	2.65587i	0.925229	+	0.379410i
$50$	6.51802	+	2.74142i	0.921788	+	0.387695i
$51$	0.0810233	−	0.140336i	0.0113455	−	0.0196510i
$52$	1.81414	−	0.236411i	0.251576	−	0.0327843i
$53$	−0.213830	+	0.798024i	−0.0293718	+	0.109617i	−0.979055	−	0.203594i	$-0.934738\pi$
$53$	−0.213830	+	0.798024i	−0.0293718	+	0.109617i	0.949684	+	0.313211i	$0.101405\pi$
$54$	0.279931	+	0.0952290i	0.0380938	+	0.0129590i
$55$	−1.14962	−	11.9649i	−0.155014	−	1.61335i
$56$	2.86513	−	6.91311i	0.382869	−	0.923803i
$57$	0.947439	+	0.947439i	0.125491	+	0.125491i
$58$	−3.53252	+	1.73916i	−0.463843	+	0.228363i
$59$	−5.94768	+	3.43389i	−0.774322	+	0.447055i	−0.834414	−	0.551138i	$-0.814194\pi$
$59$	−5.94768	+	3.43389i	−0.774322	+	0.447055i	0.0600923	+	0.998193i	$0.480860\pi$
$60$	−10.6006	+	2.43040i	−1.36854	+	0.313763i
$61$	−3.60816	−	2.08317i	−0.461977	−	0.266723i	0.250898	−	0.968014i	$-0.419274\pi$
$61$	−3.60816	−	2.08317i	−0.461977	−	0.266723i	−0.712875	+	0.701291i	$0.752607\pi$
$62$	−7.45845	+	11.1465i	−0.947224	+	1.41561i
$63$	5.80551	+	5.07315i	0.731426	+	0.639156i
$64$	−7.37891	−	3.09058i	−0.922364	−	0.386323i
$65$	0.715928	+	1.91603i	0.0888000	+	0.237655i
$66$	12.1805	+	13.9076i	1.49932	+	1.71191i
$67$	−1.87796	+	7.00862i	−0.229429	+	0.856240i	0.751153	+	0.660128i	$0.229498\pi$
$67$	−1.87796	+	7.00862i	−0.229429	+	0.856240i	−0.980582	+	0.196111i	$0.937169\pi$
$68$	0.0809898	+	0.105836i	0.00982146	+	0.0128345i
$69$	−13.3974			−1.61286
$70$	8.25311	+	1.37339i	0.986435	+	0.164152i
$71$			12.4407i			1.47644i	0.674562	+	0.738218i	$0.264332\pi$
$71$			12.4407i			1.47644i	−0.674562	+	0.738218i	$0.735668\pi$
$72$	5.44660	−	6.18602i	0.641888	−	0.729029i
$73$	−3.97448	−	1.06496i	−0.465178	−	0.124644i	0.0186146	−	0.999827i	$-0.494074\pi$
$73$	−3.97448	−	1.06496i	−0.465178	−	0.124644i	−0.483793	+	0.875183i	$0.660741\pi$
$74$	5.50904	+	6.29019i	0.640413	+	0.731220i
$75$	−5.32584	−	10.9310i	−0.614975	−	1.26220i
$76$	−1.01861	+	0.420353i	−0.116842	+	0.0482178i
$77$	−4.59544	−	13.4594i	−0.523699	−	1.53384i
$78$	−2.61463	−	1.74952i	−0.296048	−	0.198094i
$79$	7.94301	−	13.7577i	0.893658	−	1.54786i	0.0582021	−	0.998305i	$-0.481463\pi$
$79$	7.94301	−	13.7577i	0.893658	−	1.54786i	0.835456	−	0.549557i	$-0.185203\pi$
$80$	1.50122	−	8.81739i	0.167841	−	0.985814i
$81$	−4.62527	−	8.01120i	−0.513919	−	0.890133i
$82$	5.58876	−	2.75151i	0.617175	−	0.303853i
$83$	9.13395	−	9.13395i	1.00258	−	1.00258i	0.00258494	−	0.999997i	$-0.499177\pi$
$83$	9.13395	−	9.13395i	1.00258	−	1.00258i	0.999997	−	0.00258494i	$-0.000822814\pi$
$84$	−11.5386	+	5.69676i	−1.25897	+	0.621567i
$85$	−0.0947985	+	0.114952i	−0.0102823	+	0.0124683i
$86$	−1.60856	+	4.72845i	−0.173455	+	0.509882i
$87$	6.54009	+	1.75241i	0.701171	+	0.187878i
$88$	−14.4070	+	4.85887i	−1.53579	+	0.517957i
$89$	−12.2251	−	7.05819i	−1.29586	−	0.748167i	−0.316176	−	0.948701i	$-0.602399\pi$
$89$	−12.2251	−	7.05819i	−1.29586	−	0.748167i	−0.979687	+	0.200534i	$0.935732\pi$
$90$	8.11361	+	4.36862i	0.855249	+	0.460492i
$91$	1.34814	+	2.00992i	0.141323	+	0.210697i
$92$	4.22984	−	10.1739i	0.440992	−	1.06070i
$93$	22.2768	−	5.96906i	2.31000	−	0.618962i
$94$	8.03340	+	9.17248i	0.828581	+	0.946069i
$95$	−0.715219	−	1.00313i	−0.0733799	−	0.102919i
$96$	6.04390	+	12.3580i	0.616853	+	1.26128i
$97$	−6.04242	−	6.04242i	−0.613515	−	0.613515i	0.330345	−	0.943860i	$-0.392835\pi$
$97$	−6.04242	−	6.04242i	−0.613515	−	0.613515i	−0.943860	+	0.330345i	$0.892835\pi$
$98$	9.87639	−	0.675937i	0.997666	−	0.0682799i
$99$		−	15.6644i		−	1.57433i
$100$	9.98239	−	0.593276i	0.998239	−	0.0593276i
$101$	3.64530	−	2.10461i	0.362721	−	0.209417i	−0.307553	−	0.951531i	$-0.599510\pi$
$101$	3.64530	−	2.10461i	0.362721	−	0.209417i	0.670274	+	0.742114i	$0.266177\pi$
$102$	0.0151386	−	0.228668i	0.00149894	−	0.0226415i
$103$	−13.1314	+	3.51855i	−1.29388	+	0.346693i	−0.839132	−	0.543928i	$-0.816936\pi$
$103$	−13.1314	+	3.51855i	−1.29388	+	0.346693i	−0.454745	+	0.890621i	$0.650270\pi$
$104$	2.15407	−	1.43317i	0.211224	−	0.140534i
$105$	−9.12027	−	11.1271i	−0.890047	−	1.08589i
$106$	0.227188	+	1.14609i	0.0220665	+	0.111318i
$107$	−0.782214	+	0.209594i	−0.0756195	+	0.0202622i	−0.296430	−	0.955054i	$-0.595796\pi$
$107$	−0.782214	+	0.209594i	−0.0756195	+	0.0202622i	0.220811	+	0.975317i	$0.429130\pi$
$108$	0.414657	−	0.0540363i	0.0399004	−	0.00519965i
$109$	6.59510	+	11.4230i	0.631696	+	1.09413i	0.987205	+	0.159457i	$0.0509742\pi$
$109$	6.59510	+	11.4230i	0.631696	+	1.09413i	−0.355509	+	0.934673i	$0.615692\pi$
$110$	−8.93260	−	14.4628i	−0.851690	−	1.37897i
$111$		−	14.3785i		−	1.36475i
$112$	−0.683099	−	10.5609i	−0.0645468	−	0.997915i
$113$	5.88469	−	5.88469i	0.553585	−	0.553585i	−0.373889	−	0.927474i	$-0.621976\pi$
$113$	5.88469	−	5.88469i	0.553585	−	0.553585i	0.927474	+	0.373889i	$0.121976\pi$
$114$	1.79392	+	0.610267i	0.168016	+	0.0571568i
$115$	12.1493	+	2.03566i	1.13293	+	0.189826i
$116$	−3.39561	+	4.41323i	−0.315275	+	0.409758i
$117$	0.689901	+	2.57475i	0.0637814	+	0.238035i
$118$	−5.40129	+	8.07212i	−0.497229	+	0.743099i
$119$	−0.0776945	+	0.158255i	−0.00712225	+	0.0145072i
$120$	−11.9317	+	9.70541i	−1.08921	+	0.885978i
$121$	−8.94814	+	15.4986i	−0.813468	+	1.40897i
$122$	−5.87923	−	0.389225i	−0.532280	−	0.0352388i
$123$	−10.3470	−	2.77247i	−0.932958	−	0.249985i
$124$	−2.50040	+	18.8014i	−0.224542	+	1.68842i
$125$	3.16880	+	10.7219i	0.283426	+	0.958994i
$126$	10.5349	+	2.81025i	0.938523	+	0.250357i
$127$	−9.45369	+	9.45369i	−0.838880	+	0.838880i	−0.988711	−	0.149832i	$-0.952127\pi$
$127$	−9.45369	+	9.45369i	−0.838880	+	0.838880i	0.149832	+	0.988711i	$0.452127\pi$
$128$	−11.2928	+	0.688019i	−0.998149	+	0.0608128i
$129$	7.43798	−	4.29432i	0.654877	−	0.378094i
$130$	2.10522	+	1.98382i	0.184640	+	0.173992i
$131$	3.81486	−	6.60753i	0.333306	−	0.577303i	−0.649852	−	0.760061i	$-0.725169\pi$
$131$	3.81486	−	6.60753i	0.333306	−	0.577303i	0.983158	+	0.182758i	$0.0585024\pi$
$132$	24.1419	+	10.0371i	2.10128	+	0.873616i
$133$	−1.09767	−	0.959199i	−0.0951801	−	0.0831731i
$134$	1.99527	+	10.0655i	0.172365	+	0.869525i
$135$	0.163639	+	0.437947i	0.0140838	+	0.0376925i
$136$	0.168869	+	0.0836914i	0.0144804	+	0.00717647i
$137$	−1.14806	+	4.28460i	−0.0980851	+	0.366058i	−0.997469	−	0.0711009i	$-0.977349\pi$
$137$	−1.14806	+	4.28460i	−0.0980851	+	0.366058i	0.899384	+	0.437159i	$0.144015\pi$
$138$	−16.9984	+	8.36879i	−1.44700	+	0.712399i
$139$			16.4061i			1.39155i	0.718260	+	0.695774i	$0.244939\pi$
$139$			16.4061i			1.39155i	−0.718260	+	0.695774i	$0.755061\pi$
$140$	11.3293	−	3.41283i	0.957499	−	0.288437i
$141$		−	20.9671i		−	1.76575i
$142$	7.77115	+	15.7845i	0.652141	+	1.32460i
$143$	1.27267	−	4.74966i	0.106426	−	0.397186i
$144$	3.04640	−	11.2510i	0.253867	−	0.937580i
$145$	−5.66455	−	2.58289i	−0.470416	−	0.214497i
$146$	−5.70798	+	1.13149i	−0.472396	+	0.0936427i
$147$	−13.5420	−	10.3152i	−1.11692	−	0.850779i
$148$	10.9190	+	4.53961i	0.897534	+	0.373153i
$149$	3.58387	−	6.20744i	0.293602	−	0.508534i	−0.681057	−	0.732231i	$-0.738479\pi$
$149$	3.58387	−	6.20744i	0.293602	−	0.508534i	0.974659	+	0.223697i	$0.0718126\pi$
$150$	−13.5854	−	10.5422i	−1.10925	−	0.860764i
$151$	−4.64532	+	2.68198i	−0.378031	+	0.218256i	−0.676961	−	0.736019i	$-0.736704\pi$
$151$	−4.64532	+	2.68198i	−0.378031	+	0.218256i	0.298930	+	0.954275i	$0.403370\pi$
$152$	−1.02981	+	1.16961i	−0.0835286	+	0.0948683i
$153$	−0.137302	+	0.137302i	−0.0111002	+	0.0111002i
$154$	−14.2381	−	14.2065i	−1.14734	−	1.14479i
$155$	−21.1085	+	2.02815i	−1.69548	+	0.162905i
$156$	−4.41024	−	0.586516i	−0.353102	−	0.0469589i
$157$	−2.70750	−	0.725472i	−0.216082	−	0.0578989i	0.149154	−	0.988814i	$-0.452345\pi$
$157$	−2.70750	−	0.725472i	−0.216082	−	0.0578989i	−0.365236	+	0.930915i	$0.619012\pi$
$158$	1.48409	−	22.4172i	0.118068	−	1.78341i
$159$	1.00458	−	1.73998i	0.0796682	−	0.137989i
$160$	−3.60313	−	12.1251i	−0.284852	−	0.958571i
$161$	14.5427	−	0.979039i	1.14613	−	0.0771590i
$162$	−10.8727	−	7.27524i	−0.854240	−	0.571597i
$163$	4.74615	+	17.7129i	0.371747	+	1.38738i	0.858040	+	0.513583i	$0.171682\pi$
$163$	4.74615	+	17.7129i	0.371747	+	1.38738i	−0.486293	+	0.873796i	$0.661651\pi$
$164$	5.37216	−	6.98212i	0.419495	−	0.545212i
$165$	−4.83046	+	28.8294i	−0.376051	+	2.24436i
$166$	5.88339	−	17.2946i	0.456640	−	1.34232i
$167$	15.1246	−	15.1246i	1.17037	−	1.17037i	0.188254	−	0.982120i	$-0.439717\pi$
$167$	15.1246	−	15.1246i	1.17037	−	1.17037i	0.982120	−	0.188254i	$-0.0602827\pi$
$168$	−11.0814	+	14.4356i	−0.854952	+	1.11373i
$169$		−	12.1633i		−	0.935635i
$170$	−0.0484730	+	0.205065i	−0.00371771	+	0.0157278i
$171$	−0.802764	−	1.39043i	−0.0613889	−	0.106329i
$172$	0.912752	+	7.00416i	0.0695967	+	0.534062i
$173$	−5.22762	+	1.40074i	−0.397448	+	0.106496i	−0.452007	−	0.892015i	$-0.649292\pi$
$173$	−5.22762	+	1.40074i	−0.397448	+	0.106496i	0.0545582	+	0.998511i	$0.482625\pi$
$174$	9.39259	−	1.86189i	0.712051	−	0.141149i
$175$	6.57994	+	11.4763i	0.497397	+	0.867523i
$176$	−15.2442	+	15.1643i	−1.14907	+	1.14305i
$177$	16.1325	−	4.32270i	1.21259	−	0.324914i
$178$	−19.9200	−	1.31877i	−1.49306	−	0.0988459i
$179$	22.2974	−	12.8734i	1.66659	−	0.962204i	0.697128	−	0.716946i	$-0.254461\pi$
$179$	22.2974	−	12.8734i	1.66659	−	0.962204i	0.969458	−	0.245258i	$-0.0788725\pi$
$180$	13.0233	+	0.474591i	0.970697	+	0.0353739i
$181$		−	4.21334i		−	0.313175i	−0.987664	−	0.156588i	$-0.949951\pi$
$181$		−	4.21334i		−	0.313175i	0.987664	−	0.156588i	$-0.0500493\pi$
$182$	2.96600	+	1.70802i	0.219854	+	0.126607i
$183$	7.16443	+	7.16443i	0.529610	+	0.529610i
$184$	−0.988463	−	15.5507i	−0.0728704	−	1.14641i
$185$	−2.18474	+	13.0391i	−0.160625	+	0.958650i
$186$	24.5358	−	21.4888i	1.79905	−	1.57563i
$187$	0.345989	−	0.0927076i	0.0253013	−	0.00677945i
$188$	15.9223	+	6.61975i	1.16125	+	0.482795i
$189$	0.308143	+	0.459405i	0.0224141	+	0.0334168i
$190$	−1.53407	−	0.825991i	−0.111293	−	0.0599237i
$191$	−10.2107	−	5.89518i	−0.738824	−	0.426560i	0.0828178	−	0.996565i	$-0.473608\pi$
$191$	−10.2107	−	5.89518i	−0.738824	−	0.426560i	−0.821641	+	0.570005i	$0.806941\pi$
$192$	15.3879	+	11.9042i	1.11053	+	0.859113i
$193$	5.93844	+	1.59120i	0.427458	+	0.114537i	0.466133	−	0.884715i	$-0.345647\pi$
$193$	5.93844	+	1.59120i	0.427458	+	0.114537i	−0.0386745	+	0.999252i	$0.512314\pi$
$194$	−11.4409	−	3.89206i	−0.821412	−	0.279434i
$195$	−0.475742	−	4.95141i	−0.0340686	−	0.354578i
$196$	12.1087	−	7.02697i	0.864910	−	0.501927i
$197$	−3.28531	+	3.28531i	−0.234069	+	0.234069i	−0.814389	−	0.580320i	$-0.802928\pi$
$197$	−3.28531	+	3.28531i	−0.234069	+	0.234069i	0.580320	+	0.814389i	$0.302928\pi$
$198$	−9.78489	−	19.8747i	−0.695382	−	1.41243i
$199$	−5.56083	−	9.63164i	−0.394197	−	0.682769i	0.598801	−	0.800898i	$-0.295644\pi$
$199$	−5.56083	−	9.63164i	−0.394197	−	0.682769i	−0.992998	+	0.118128i	$0.962311\pi$
$200$	12.2949	−	6.98831i	0.869378	−	0.494148i
$201$	8.82268	−	15.2813i	0.622304	−	1.07786i
$202$	3.31042	−	4.94735i	0.232920	−	0.348095i
$203$	−7.22726	−	1.42430i	−0.507254	−	0.0999660i
$204$	−0.123631	−	0.299586i	−0.00865593	−	0.0209752i
$205$	8.96183	+	4.08636i	0.625921	+	0.285404i
$206$	−14.4630	+	12.6669i	−1.00768	+	0.882545i
$207$	15.5066	+	4.15498i	1.07778	+	0.288791i
$208$	1.83780	−	3.16393i	0.127429	−	0.219379i
$209$			2.96173i			0.204867i
$210$	−18.5222	−	8.42076i	−1.27815	−	0.581087i
$211$	9.43521			0.649547			0.324773	−	0.945792i	$-0.394712\pi$
$211$	9.43521			0.649547			0.324773	+	0.945792i	$0.394712\pi$
$212$	1.00416	+	1.31222i	0.0689662	+	0.0901235i
$213$	7.83036	−	29.2233i	0.536527	−	2.00235i
$214$	−0.861534	+	0.754544i	−0.0588932	+	0.0515796i
$215$	−7.39756	+	2.76411i	−0.504509	+	0.188510i
$216$	0.492354	−	0.327578i	0.0335005	−	0.0222889i
$217$	−23.7450	+	8.10726i	−1.61192	+	0.550357i
$218$	15.5032	+	10.3737i	1.05001	+	0.702593i
$219$	8.66581	+	5.00321i	0.585581	+	0.338085i
$220$	−20.3678	−	12.7703i	−1.37320	−	0.860971i
$221$	−0.0527869	+	0.0304765i	−0.00355083	+	0.00205007i
$222$	−8.98166	−	18.2432i	−0.602809	−	1.22440i
$223$	1.64111	+	1.64111i	0.109897	+	0.109897i	0.759917	−	0.650020i	$-0.225240\pi$
$223$	1.64111	+	1.64111i	0.109897	+	0.109897i	−0.650020	+	0.759917i	$0.725240\pi$
$224$	−7.46367	−	12.9728i	−0.498687	−	0.866782i
$225$	2.77425	+	14.3036i	0.184950	+	0.953571i
$226$	3.79047	−	11.1423i	0.252138	−	0.741174i
$227$	1.89218	−	7.06169i	0.125588	−	0.468701i	−0.874272	−	0.485437i	$-0.838661\pi$
$227$	1.89218	−	7.06169i	0.125588	−	0.468701i	0.999860	+	0.0167355i	$0.00532733\pi$
$228$	2.65729	−	0.346287i	0.175984	−	0.0229334i
$229$	7.28837	−	12.6238i	0.481629	−	0.834206i	−0.518148	−	0.855291i	$-0.673379\pi$
$229$	7.28837	−	12.6238i	0.481629	−	0.834206i	0.999778	+	0.0210844i	$0.00671187\pi$
$230$	16.6864	−	5.00636i	1.10027	−	0.330109i
$231$	2.32318	+	34.5088i	0.152854	+	2.27051i
$232$	−1.55153	+	7.72051i	−0.101863	+	0.506876i
$233$	−6.01247	−	22.4388i	−0.393890	−	1.47002i	−0.823663	−	0.567080i	$-0.808073\pi$
$233$	−6.01247	−	22.4388i	−0.393890	−	1.47002i	0.429773	−	0.902937i	$-0.358594\pi$
$234$	2.48367	+	2.83584i	0.162362	+	0.185384i
$235$	−3.18583	+	19.0138i	−0.207820	+	1.24032i
$236$	−1.81075	+	13.6157i	−0.117870	+	0.886307i
$237$	−27.3175	+	27.3175i	−1.77447	+	1.77447i
$238$	0.000277518		0.249323i	1.79888e−5		0.0161612i
$239$	5.70974			0.369333			0.184666	−	0.982801i	$-0.440880\pi$
$239$	5.70974			0.369333			0.184666	+	0.982801i	$0.440880\pi$
$240$	−9.07619	+	19.7673i	−0.585865	+	1.27597i
$241$	−1.85547	−	3.21377i	−0.119521	−	0.207017i	0.800057	−	0.599924i	$-0.204803\pi$
$241$	−1.85547	−	3.21377i	−0.119521	−	0.207017i	−0.919578	+	0.392907i	$0.871469\pi$
$242$	−1.67189	+	25.2539i	−0.107473	+	1.62338i
$243$	5.66009	+	21.1237i	0.363095	+	1.35509i
$244$	−7.70258	+	3.17866i	−0.493107	+	0.203493i
$245$	10.7131	+	11.4118i	0.684434	+	0.729075i
$246$	−14.8599	+	2.94567i	−0.947434	+	0.187809i
$247$	−0.130442	−	0.486817i	−0.00829984	−	0.0309754i
$248$	8.57199	+	25.4168i	0.544322	+	1.61397i
$249$	−27.2048	+	15.7067i	−1.72404	+	0.995373i
$250$	10.7180	+	11.6243i	0.677866	+	0.735185i
$251$	−21.0164			−1.32654			−0.663272	−	0.748379i	$-0.730833\pi$
$251$	−21.0164			−1.32654			−0.663272	+	0.748379i	$0.730833\pi$
$252$	15.1219	−	3.01510i	0.952591	−	0.189934i
$253$	−20.9404	−	20.9404i	−1.31651	−	1.31651i
$254$	−6.08934	+	17.9000i	−0.382079	+	1.12314i
$255$	0.295035	−	0.210356i	0.0184758	−	0.0131730i
$256$	−13.8983	+	7.92705i	−0.868642	+	0.495441i
$257$	12.9740	−	3.47636i	0.809293	−	0.216849i	0.169633	−	0.985507i	$-0.445742\pi$
$257$	12.9740	−	3.47636i	0.809293	−	0.216849i	0.639660	+	0.768658i	$0.279075\pi$
$258$	6.75468	−	10.0947i	0.420528	−	0.628470i
$259$	1.05074	+	15.6078i	0.0652896	+	0.969818i
$260$	3.91027	+	1.20199i	0.242505	+	0.0745441i
$261$	−7.02623	−	4.05659i	−0.434913	−	0.251097i
$262$	0.712778	−	10.7665i	0.0440356	−	0.665156i
$263$	3.86342	−	14.4185i	0.238229	−	0.889082i	−0.738438	−	0.674322i	$-0.764436\pi$
$263$	3.86342	−	14.4185i	0.238229	−	0.889082i	0.976667	−	0.214761i	$-0.0688972\pi$
$264$	36.9005	−	2.34554i	2.27107	−	0.144358i
$265$	−1.17537	+	1.42525i	−0.0722025	+	0.0875521i
$266$	−1.99187	−	0.531345i	−0.122130	−	0.0325789i
$267$	24.2745	+	24.2745i	1.48557	+	1.48557i
$268$	8.81904	+	11.5245i	0.538709	+	0.703972i
$269$	0.451673	+	0.782321i	0.0275390	+	0.0476990i	0.879466	−	0.475961i	$-0.157900\pi$
$269$	0.451673	+	0.782321i	0.0275390	+	0.0476990i	−0.851927	+	0.523660i	$0.824566\pi$
$270$	0.481189	+	0.453440i	0.0292842	+	0.0275955i
$271$	−16.9831	−	9.80522i	−1.03165	−	0.595625i	−0.114195	−	0.993458i	$-0.536429\pi$
$271$	−16.9831	−	9.80522i	−1.03165	−	0.595625i	−0.917458	+	0.397833i	$0.869762\pi$
$272$	0.266536		0.000700530i	0.0161611		4.24759e-5i
$273$	−1.90171	−	5.56986i	−0.115097	−	0.337103i
$274$	1.21978	+	6.15336i	0.0736894	+	0.371738i
$275$	8.76092	−	25.4097i	0.528303	−	1.53226i
$276$	−16.3396	+	21.2363i	−0.983527	+	1.27828i
$277$	−21.5003	−	5.76098i	−1.29183	−	0.346144i	−0.453472	−	0.891271i	$-0.649815\pi$
$277$	−21.5003	−	5.76098i	−1.29183	−	0.346144i	−0.838354	+	0.545127i	$0.816481\pi$
$278$	10.2482	+	20.8158i	0.614646	+	1.24845i
$279$	−27.6351			−1.65447
$280$	12.2425	−	11.4070i	0.731631	−	0.681701i
$281$	−8.44297			−0.503665			−0.251833	−	0.967771i	$-0.581033\pi$
$281$	−8.44297			−0.503665			−0.251833	+	0.967771i	$0.581033\pi$
$282$	−13.0972	−	26.6026i	−0.779929	−	1.58416i
$283$	10.2478	+	2.74589i	0.609168	+	0.163226i	0.550199	−	0.835034i	$-0.314552\pi$
$283$	10.2478	+	2.74589i	0.609168	+	0.163226i	0.0589690	+	0.998260i	$0.481219\pi$
$284$	19.7198	+	15.1727i	1.17015	+	0.900336i
$285$	1.04867	+	2.80655i	0.0621178	+	0.166245i
$286$	−1.35217	−	6.82125i	−0.0799556	−	0.403349i
$287$	11.4342	+	2.25336i	0.674937	+	0.133012i
$288$	−3.16278	−	16.1780i	−0.186368	−	0.953295i
$289$	14.7186	+	8.49778i	0.865799	+	0.499869i
$290$	−8.80049	+	0.261286i	−0.516783	+	0.0153433i
$291$	10.3905	+	17.9969i	0.609103	+	1.05500i
$292$	−6.53538	+	5.00114i	−0.382454	+	0.292670i
$293$	−5.98253	−	5.98253i	−0.349503	−	0.349503i	0.510421	−	0.859924i	$-0.329489\pi$
$293$	−5.98253	−	5.98253i	−0.349503	−	0.349503i	−0.859924	+	0.510421i	$0.829489\pi$
$294$	−23.6252	−	4.62858i	−1.37785	−	0.269944i
$295$	−15.2864	+	1.46876i	−0.890011	+	0.0855142i
$296$	16.6895	−	1.06085i	0.970056	−	0.0616607i
$297$	0.290893	−	1.08563i	0.0168793	−	0.0629944i
$298$	0.669619	−	10.1146i	0.0387900	−	0.585921i
$299$	4.36423	+	2.51969i	0.252390	+	0.145717i
$300$	−23.8222	−	4.88946i	−1.37537	−	0.282293i
$301$	−7.76003	+	5.20498i	−0.447281	+	0.300010i
$302$	−4.21857	+	6.30457i	−0.242752	+	0.362787i
$303$	−9.88753	+	2.64936i	−0.568024	+	0.152202i
$304$	−0.575995	+	2.12726i	−0.0330356	+	0.122007i
$305$	−5.40840	−	7.58559i	−0.309684	−	0.434350i
$306$	−0.0884393	+	0.259972i	−0.00505574	+	0.0148616i
$307$	9.53158	+	9.53158i	0.543996	+	0.543996i	0.924698	−	0.380702i	$-0.124318\pi$
$307$	9.53158	+	9.53158i	0.543996	+	0.543996i	−0.380702	+	0.924698i	$0.624318\pi$
$308$	−26.9392	−	9.13094i	−1.53500	−	0.520283i
$309$	33.0605			1.88075
$310$	−25.5151	+	15.7589i	−1.44916	+	0.895043i
$311$	−1.49077	+	0.860697i	−0.0845338	+	0.0488056i	−0.541671	−	0.840591i	$-0.682208\pi$
$311$	−1.49077	+	0.860697i	−0.0845338	+	0.0488056i	0.457137	+	0.889396i	$0.348875\pi$
$312$	−5.96199	+	2.01073i	−0.337531	+	0.113835i
$313$	−0.117182	−	0.437330i	−0.00662352	−	0.0247193i	0.962535	−	0.271158i	$-0.0874064\pi$
$313$	−0.117182	−	0.437330i	−0.00662352	−	0.0247193i	−0.969159	+	0.246438i	$0.920740\pi$
$314$	−3.88839	+	0.770793i	−0.219435	+	0.0434984i
$315$	7.10522	+	15.7073i	0.400334	+	0.885007i
$316$	−12.1200	−	29.3695i	−0.681806	−	1.65216i
$317$	−1.22114	−	4.55734i	−0.0685858	−	0.255966i	0.923117	−	0.384520i	$-0.125633\pi$
$317$	−1.22114	−	4.55734i	−0.0685858	−	0.255966i	−0.991702	+	0.128554i	$0.958966\pi$
$318$	0.187698	−	2.83517i	0.0105256	−	0.158988i
$319$	7.48323	+	12.9613i	0.418981	+	0.725696i
$320$	−12.1456	−	13.1333i	−0.678959	−	0.734176i
$321$	1.96935			0.109919
$322$	17.8400	−	10.3264i	0.994184	−	0.575469i
$323$	0.0259602	−	0.0259602i	0.00144446	−	0.00144446i
$324$	−18.3396	−	2.43898i	−1.01887	−	0.135499i
$325$	−0.320915	+	4.56242i	−0.0178012	+	0.253078i
$326$	17.0863	+	19.5090i	0.946322	+	1.08051i
$327$	−8.30212	−	30.9839i	−0.459108	−	1.71342i
$328$	2.45466	−	12.2145i	0.135536	−	0.674435i
$329$	1.53221	+	22.7595i	0.0844732	+	1.25477i
$330$	11.8797	+	39.5955i	0.653955	+	2.17966i
$331$	−3.91887	+	6.78768i	−0.215401	+	0.373085i	−0.953396	−	0.301721i	$-0.902439\pi$
$331$	−3.91887	+	6.78768i	−0.215401	+	0.373085i	0.737996	+	0.674805i	$0.235772\pi$
$332$	−3.33844	−	25.6181i	−0.183221	−	1.40598i
$333$	−4.45926	+	16.6422i	−0.244366	+	0.911986i
$334$	9.74208	−	28.6374i	0.533063	−	1.56697i
$335$	−10.3227	+	12.5172i	−0.563988	+	0.683887i
$336$	−5.04261	+	25.2377i	−0.275097	+	1.37683i
$337$	0.935819	+	0.935819i	0.0509773	+	0.0509773i	0.732136	−	0.681159i	$-0.238524\pi$
$337$	0.935819	+	0.935819i	0.0509773	+	0.0509773i	−0.681159	+	0.732136i	$0.738524\pi$
$338$	−7.59786	−	15.4325i	−0.413269	−	0.839417i
$339$	−17.5271	+	10.1193i	−0.951943	+	0.549605i
$340$	0.0665938	+	0.290462i	0.00361155	+	0.0157525i
$341$	44.1489	+	25.4894i	2.39079	+	1.38033i
$342$	−1.88707	−	1.26270i	−0.102041	−	0.0682788i
$343$	15.4535	+	10.2074i	0.834408	+	0.551147i
$344$	5.53328	+	8.31658i	0.298334	+	0.448400i
$345$	−27.2576	−	12.4288i	−1.46750	−	0.669142i
$346$	−5.75772	+	5.04269i	−0.309537	+	0.271097i
$347$	3.24181	−	12.0986i	0.174030	−	0.649487i	−0.822685	−	0.568497i	$-0.807525\pi$
$347$	3.24181	−	12.0986i	0.174030	−	0.649487i	0.996715	−	0.0809901i	$-0.0258082\pi$
$348$	10.7541	−	8.22948i	0.576480	−	0.441146i
$349$	31.4932			1.68579			0.842895	−	0.538078i	$-0.180849\pi$
$349$	31.4932			1.68579			0.842895	+	0.538078i	$0.180849\pi$
$350$	15.5172	+	10.4506i	0.829431	+	0.558610i
$351$			0.191255i			0.0102084i
$352$	−9.86906	+	28.7625i	−0.526023	+	1.53305i
$353$	1.19752	+	0.320876i	0.0637378	+	0.0170785i	0.290547	−	0.956861i	$-0.406163\pi$
$353$	1.19752	+	0.320876i	0.0637378	+	0.0170785i	−0.226809	+	0.973939i	$0.572829\pi$
$354$	17.7684	−	15.5618i	0.944381	−	0.827103i
$355$	−11.5412	+	25.3111i	−0.612543	+	1.34337i
$356$	−26.0978	+	10.7699i	−1.38318	+	0.570805i
$357$	0.282113	−	0.322840i	0.0149310	−	0.0170865i
$358$	20.2490	−	30.2618i	1.07019	−	1.59938i
$359$	−9.45684	+	16.3797i	−0.499113	+	0.864489i	−0.999999	−	0.00102414i	$-0.999674\pi$
$359$	−9.45684	+	16.3797i	−0.499113	+	0.864489i	0.500887	+	0.865513i	$0.333007\pi$
$360$	16.8201	−	7.53293i	0.886498	−	0.397020i
$361$	−9.34822	−	16.1916i	−0.492011	−	0.852189i
$362$	−2.63189	−	5.34580i	−0.138329	−	0.280969i
$363$	30.7744	−	30.7744i	1.61524	−	1.61524i
$364$	4.83013	+	0.314371i	0.253167	+	0.0164775i
$365$	−7.09830	−	5.85383i	−0.371542	−	0.306404i
$366$	13.5654	+	4.61477i	0.709075	+	0.241218i
$367$	5.13052	+	1.37472i	0.267811	+	0.0717597i	0.390225	−	0.920719i	$-0.372397\pi$
$367$	5.13052	+	1.37472i	0.267811	+	0.0717597i	−0.122415	+	0.992479i	$0.539064\pi$
$368$	−10.9680	−	19.1129i	−0.571745	−	0.996330i
$369$	11.1161	+	6.41789i	0.578682	+	0.334102i
$370$	5.37299	+	17.9084i	0.279328	+	0.931014i
$371$	−0.963306	+	1.96214i	−0.0500124	+	0.101869i
$372$	17.7074	−	42.5910i	0.918085	−	2.20824i
$373$	−22.6576	+	6.07108i	−1.17317	+	0.314349i	−0.792212	−	0.610246i	$-0.791071\pi$
$373$	−22.6576	+	6.07108i	−1.17317	+	0.314349i	−0.380953	+	0.924594i	$0.624404\pi$
$374$	0.381074	−	0.333750i	0.0197049	−	0.0172578i
$375$	−0.695019	−	27.1803i	−0.0358906	−	1.40359i
$376$	24.3369	−	1.54695i	1.25508	−	0.0797781i
$377$	−1.80086	−	1.80086i	−0.0927492	−	0.0927492i
$378$	0.677936	+	0.390401i	0.0348693	+	0.0200801i
$379$		−	19.9070i		−	1.02255i	−0.859416	−	0.511277i	$-0.829173\pi$
$379$		−	19.9070i		−	1.02255i	0.859416	−	0.511277i	$-0.170827\pi$
$380$	−2.46236	−	0.0897328i	−0.126316	−	0.00460319i
$381$	28.1571	−	16.2565i	1.44253	−	0.832848i
$382$	−16.6377	−	1.10147i	−0.851257	−	0.0563561i
$383$	−17.6892	+	4.73982i	−0.903878	+	0.242193i	−0.680681	−	0.732580i	$-0.738316\pi$
$383$	−17.6892	+	4.73982i	−0.903878	+	0.242193i	−0.223197	+	0.974773i	$0.571649\pi$
$384$	26.9599	+	5.49169i	1.37579	+	0.280246i
$385$	3.13665	−	31.6470i	0.159859	−	1.61288i
$386$	8.52853	−	1.69061i	0.434091	−	0.0860496i
$387$	−9.94076	+	2.66362i	−0.505317	+	0.135399i
$388$	−16.9473	+	2.20849i	−0.860366	+	0.112119i
$389$	−6.01876	−	10.4248i	−0.305163	−	0.528558i	0.672134	−	0.740429i	$-0.265378\pi$
$389$	−6.01876	−	10.4248i	−0.305163	−	0.528558i	−0.977298	+	0.211871i	$0.932044\pi$
$390$	−3.69654	−	5.98507i	−0.187182	−	0.303066i
$391$			0.367094i			0.0185647i
$392$	10.9739	−	16.4795i	0.554265	−	0.832340i
$393$	−13.1200	+	13.1200i	−0.661819	+	0.661819i
$394$	−2.11615	+	6.22053i	−0.106610	+	0.313386i
$395$	28.9234	−	20.6219i	1.45529	−	1.03760i
$396$	−24.8298	−	19.1044i	−1.24774	−	0.960034i
$397$	0.528993	+	1.97423i	0.0265494	+	0.0990836i	0.977929	−	0.208937i	$-0.0670002\pi$
$397$	0.528993	+	1.97423i	0.0265494	+	0.0990836i	−0.951380	+	0.308020i	$0.900334\pi$
$398$	−13.0719	−	8.74683i	−0.655238	−	0.438439i
$399$	1.97471	+	2.94406i	0.0988590	+	0.147387i
$400$	11.2342	−	16.5467i	0.561709	−	0.827335i
$401$	−11.8064	+	20.4492i	−0.589582	+	1.02119i	0.404705	+	0.914447i	$0.367374\pi$
$401$	−11.8064	+	20.4492i	−0.589582	+	1.02119i	−0.994287	+	0.106739i	$0.965959\pi$
$402$	1.64845	−	24.8998i	0.0822173	−	1.24189i
$403$	−8.37932	−	2.24523i	−0.417404	−	0.111843i
$404$	1.10980	−	8.34498i	0.0552144	−	0.415178i
$405$	−1.97833	−	20.5900i	−0.0983041	−	1.02313i
$406$	−10.0595	+	2.70744i	−0.499245	+	0.134368i
$407$	22.4739	−	22.4739i	1.11399	−	1.11399i
$408$	−0.343999	−	0.302881i	−0.0170305	−	0.0149948i
$409$	−14.1956	+	8.19582i	−0.701926	+	0.405257i	−0.808065	−	0.589094i	$-0.799485\pi$
$409$	−14.1956	+	8.19582i	−0.701926	+	0.405257i	0.106138	+	0.994351i	$0.466151\pi$
$410$	13.9232	−	0.413378i	0.687616	−	0.0204153i
$411$	5.39360	−	9.34198i	0.266047	−	0.460806i
$412$	−10.4379	+	25.1059i	−0.514238	+	1.23688i
$413$	−17.1958	+	5.87115i	−0.846150	+	0.288900i
$414$	22.2699	−	4.41455i	1.09451	−	0.216963i
$415$	27.0570	−	10.1099i	1.32818	−	0.496274i
$416$	0.355393	−	5.16233i	0.0174246	−	0.253104i
$417$	10.3263	−	38.5382i	0.505680	−	1.88722i
$418$	1.85007	+	3.75779i	0.0904897	+	0.183799i
$419$			7.84408i			0.383208i	0.981472	+	0.191604i	$0.0613690\pi$
$419$			7.84408i			0.383208i	−0.981472	+	0.191604i	$0.938631\pi$
$420$	−28.7607	+	0.885947i	−1.40338	+	0.0432298i
$421$			3.86071i			0.188159i	0.995565	+	0.0940797i	$0.0299909\pi$
$421$			3.86071i			0.188159i	−0.995565	+	0.0940797i	$0.970009\pi$
$422$	11.9712	−	5.89377i	0.582750	−	0.286904i
$423$	−6.50258	+	24.2680i	−0.316166	+	1.17995i
$424$	2.09375	+	1.03766i	0.101681	+	0.0503931i
$425$	−0.299513	+	0.145930i	−0.0145285	+	0.00707865i
$426$	−8.31953	−	41.9692i	−0.403083	−	2.03342i
$427$	−8.30046	−	7.25336i	−0.401687	−	0.351015i
$428$	−0.621766	+	1.49551i	−0.0300542	+	0.0722884i
$429$	−5.97902	+	10.3560i	−0.288670	+	0.499991i
$430$	−7.65926	+	8.12798i	−0.369362	+	0.391966i
$431$	16.8937	−	9.75359i	0.813741	−	0.469814i	−0.0345120	−	0.999404i	$-0.510988\pi$
$431$	16.8937	−	9.75359i	0.813741	−	0.469814i	0.848253	+	0.529590i	$0.177654\pi$
$432$	0.420065	−	0.723178i	0.0202104	−	0.0347939i
$433$	−6.65290	+	6.65290i	−0.319718	+	0.319718i	−0.848659	−	0.528941i	$-0.822589\pi$
$433$	−6.65290	+	6.65290i	−0.319718	+	0.319718i	0.528941	+	0.848659i	$0.322589\pi$
$434$	−25.0630	+	25.1188i	−1.20306	+	1.20574i
$435$	11.6804	+	9.63260i	0.560032	+	0.461848i
$436$	26.1502	+	3.47770i	1.25237	+	0.166552i
$437$	−2.93189	−	0.785598i	−0.140251	−	0.0375802i
$438$	14.1203	+	0.934811i	0.674694	+	0.0446670i
$439$	−10.4072	+	18.0258i	−0.496709	+	0.860326i	−0.999993	−	0.00379558i	$-0.998792\pi$
$439$	−10.4072	+	18.0258i	−0.496709	+	0.860326i	0.503283	+	0.864121i	$0.332125\pi$
$440$	−33.8193	−	3.47978i	−1.61227	−	0.165892i
$441$	12.4748	+	16.1389i	0.594040	+	0.768519i
$442$	−0.0479376	+	0.0716417i	−0.00228016	+	0.00340765i
$443$	2.39083	+	8.92270i	0.113592	+	0.423930i	0.999178	−	0.0405453i	$-0.0129095\pi$
$443$	2.39083	+	8.92270i	0.113592	+	0.423930i	−0.885586	+	0.464476i	$0.846243\pi$
$444$	−22.7915	−	17.5362i	−1.08164	−	0.832230i
$445$	−18.3247	−	25.7015i	−0.868676	−	1.21837i
$446$	3.10734	+	1.05708i	0.147137	+	0.0500541i
$447$	−12.3256	+	12.3256i	−0.582982	+	0.582982i
$448$	−17.5733	−	11.7974i	−0.830261	−	0.557375i
$449$		−	7.72407i		−	0.364521i	−0.983250	−	0.182261i	$-0.941659\pi$
$449$		−	7.72407i		−	0.364521i	0.983250	−	0.182261i	$-0.0583414\pi$
$450$	12.4547	+	16.4151i	0.587122	+	0.773817i
$451$	−11.8391	−	20.5060i	−0.557483	−	0.965589i
$452$	−2.15084	−	16.5049i	−0.101167	−	0.776324i
$453$	12.6000	−	3.37616i	0.591999	−	0.158626i
$454$	−2.01038	−	10.1417i	−0.0943519	−	0.475974i
$455$	0.878245	+	5.33993i	0.0411728	+	0.250340i
$456$	3.15521	−	2.09926i	0.147756	−	0.0983069i
$457$	16.7822	−	4.49678i	0.785038	−	0.210350i	0.156033	−	0.987752i	$-0.450129\pi$
$457$	16.7822	−	4.49678i	0.785038	−	0.210350i	0.629005	+	0.777401i	$0.283463\pi$
$458$	1.36178	−	20.5696i	0.0636317	−	0.961154i
$459$	−0.0120655	+	0.00696600i	−0.000563168	+	0.000325145i
$460$	18.0441	−	16.7753i	0.841312	−	0.782150i
$461$			11.0278i			0.513618i	0.966462	+	0.256809i	$0.0826711\pi$
$461$			11.0278i			0.513618i	−0.966462	+	0.256809i	$0.917329\pi$
$462$	24.5038	+	42.3329i	1.14002	+	1.96950i
$463$	7.05190	+	7.05190i	0.327730	+	0.327730i	0.851723	−	0.523993i	$-0.175558\pi$
$463$	7.05190	+	7.05190i	0.327730	+	0.327730i	−0.523993	+	0.851723i	$0.675558\pi$
$464$	2.85412	+	10.7648i	0.132499	+	0.499744i
$465$	50.8607	+	8.52187i	2.35861	+	0.395192i
$466$	−21.6451	−	24.7142i	−1.00269	−	1.14486i
$467$	15.7931	−	4.23174i	0.730817	−	0.195822i	0.125824	−	0.992053i	$-0.459843\pi$
$467$	15.7931	−	4.23174i	0.730817	−	0.195822i	0.604993	+	0.796231i	$0.293176\pi$
$468$	4.92265	+	2.04661i	0.227550	+	0.0946047i
$469$	−8.46022	+	17.2325i	−0.390656	+	0.795721i
$470$	7.83500	+	26.1144i	0.361402	+	1.20457i
$471$	5.90332	+	3.40828i	0.272011	+	0.157045i
$472$	6.20770	+	18.4064i	0.285733	+	0.847225i
$473$	18.3378	+	4.91360i	0.843173	+	0.225928i
$474$	−17.5959	+	51.7241i	−0.808205	+	2.37576i
$475$	−0.524538	−	2.70443i	−0.0240674	−	0.124088i
$476$	0.156093	+	0.316162i	0.00715453	+	0.0144913i
$477$	−1.70236	+	1.70236i	−0.0779455	+	0.0779455i
$478$	7.24441	−	3.56663i	0.331352	−	0.163134i
$479$	−16.3174	−	28.2626i	−0.745562	−	1.29135i	−0.949932	−	0.312458i	$-0.898848\pi$
$479$	−16.3174	−	28.2626i	−0.745562	−	1.29135i	0.204369	−	0.978894i	$-0.434486\pi$
$480$	0.832077	+	30.7498i	0.0379790	+	1.40353i
$481$	−2.70421	+	4.68383i	−0.123301	+	0.213564i
$482$	−4.36169	−	2.91854i	−0.198670	−	0.132936i
$483$	−34.7773	−	6.85366i	−1.58242	−	0.311853i
$484$	13.6538	+	33.0860i	0.620625	+	1.50391i
$485$	−6.68803	−	17.8991i	−0.303688	−	0.812757i
$486$	20.3765	+	23.2658i	0.924297	+	1.05536i
$487$	37.2800	+	9.98916i	1.68932	+	0.452652i	0.970214	−	0.242248i	$-0.0778849\pi$
$487$	37.2800	+	9.98916i	1.68932	+	0.452652i	0.719106	+	0.694900i	$0.244552\pi$
$488$	−7.78731	+	8.84449i	−0.352515	+	0.400371i
$489$		−	44.5951i		−	2.01666i
$490$	20.7210	+	7.78710i	0.936081	+	0.351785i
$491$	−16.7820			−0.757359			−0.378680	−	0.925528i	$-0.623622\pi$
$491$	−16.7820			−0.757359			−0.378680	+	0.925528i	$0.623622\pi$
$492$	−17.0139	+	13.0198i	−0.767047	+	0.586976i
$493$	0.0480167	−	0.179201i	0.00216257	−	0.00807080i
$494$	−0.469596	−	0.536182i	−0.0211281	−	0.0241240i
$495$	14.5319	−	31.8700i	0.653159	−	1.43245i
$496$	26.7527	+	26.8937i	1.20123	+	1.20756i
$497$	−6.36423	+	32.2938i	−0.285475	+	1.44857i
$498$	−24.7056	+	36.9221i	−1.10709	+	1.65452i
$499$	−33.6339	−	19.4186i	−1.50566	−	0.869294i	−0.999978	−	0.00657503i	$-0.997907\pi$
$499$	−33.6339	−	19.4186i	−1.50566	−	0.869294i	−0.505683	−	0.862719i	$-0.668760\pi$
$500$	20.8600	+	8.05360i	0.932887	+	0.360168i
$501$	−45.0474	+	26.0082i	−2.01257	+	1.16196i
$502$	−26.6652	+	13.1280i	−1.19013	+	0.585933i
$503$	11.4910	+	11.4910i	0.512359	+	0.512359i	0.915249	−	0.402890i	$-0.131994\pi$
$503$	11.4910	+	11.4910i	0.512359	+	0.512359i	−0.402890	+	0.915249i	$0.631994\pi$
$504$	17.3030	−	13.2715i	0.770736	−	0.591160i
$505$	9.36897	−	0.900192i	0.416914	−	0.0400580i
$506$	−39.6494	−	13.4882i	−1.76263	−	0.599624i
$507$	−7.65575	+	28.5716i	−0.340004	+	1.26891i
$508$	3.45531	+	26.5149i	0.153305	+	1.17641i
$509$	−10.6021	+	18.3634i	−0.469930	+	0.813942i	−0.999409	−	0.0343809i	$-0.989054\pi$
$509$	−10.6021	+	18.3634i	−0.469930	+	0.813942i	0.529479	+	0.848323i	$0.322387\pi$
$510$	0.242935	−	0.451191i	0.0107573	−	0.0199791i
$511$	−9.77226	−	4.79766i	−0.432299	−	0.212236i
$512$	−12.6822	+	18.7393i	−0.560477	+	0.828170i
$513$	−0.0298151	−	0.111271i	−0.00131637	−	0.00491276i
$514$	14.2896	−	12.5150i	0.630286	−	0.552014i
$515$	−29.9806	−	5.02335i	−1.32110	−	0.221355i
$516$	2.26446	−	17.0274i	0.0996874	−	0.749587i
$517$	32.7720	−	32.7720i	1.44131	−	1.44131i
$518$	11.0826	+	19.1465i	0.486944	+	0.841247i
$519$	13.1614			0.577721
$520$	5.71210	−	0.917519i	0.250492	−	0.0402359i
$521$	−0.447025	−	0.774270i	−0.0195845	−	0.0339214i	0.856067	−	0.516865i	$-0.172901\pi$
$521$	−0.447025	−	0.774270i	−0.0195845	−	0.0339214i	−0.875652	+	0.482943i	$0.839568\pi$
$522$	−11.4487	−	0.757944i	−0.501097	−	0.0331743i
$523$	−10.0129	−	37.3686i	−0.437833	−	1.63402i	−0.734194	−	0.678940i	$-0.762440\pi$
$523$	−10.0129	−	37.3686i	−0.437833	−	1.63402i	0.296361	−	0.955076i	$-0.404227\pi$
$524$	−5.82101	−	14.1056i	−0.254292	−	0.616204i
$525$	−8.23304	−	31.0994i	−0.359319	−	1.35729i
$526$	−4.10478	−	20.7072i	−0.178977	−	0.902877i
$527$	−0.163554	−	0.610393i	−0.00712454	−	0.0265891i
$528$	45.3534	−	26.0261i	1.97376	−	1.13264i
$529$	6.36529	−	3.67500i	0.276752	−	0.159783i
$530$	−0.600999	+	2.54253i	−0.0261057	+	0.110440i
$531$	−20.0129			−0.868486
$532$	−2.85916	+	0.570078i	−0.123960	+	0.0247160i
$533$	2.84913	+	2.84913i	0.123409	+	0.123409i
$534$	45.9622	+	15.6358i	1.98898	+	0.676625i
$535$	−1.78589	−	0.299232i	−0.0772108	−	0.0129369i
$536$	18.3883	+	9.11321i	0.794254	+	0.393631i
$537$	−60.4796	+	16.2055i	−2.60989	+	0.699317i
$538$	1.06176	+	0.710453i	0.0457756	+	0.0306298i
$539$	−5.04358	−	37.2891i	−0.217242	−	1.60616i
$540$	0.893767	+	0.274737i	0.0384616	+	0.0118228i
$541$	20.9953	+	12.1217i	0.902660	+	0.521151i	0.878062	−	0.478547i	$-0.158836\pi$
$541$	20.9953	+	12.1217i	0.902660	+	0.521151i	0.0245974	+	0.999697i	$0.492170\pi$
$542$	−27.6728	−	1.83203i	−1.18865	−	0.0786925i
$543$	−2.65194	+	9.89719i	−0.113806	+	0.424729i
$544$	0.338614	−	0.165605i	0.0145179	−	0.00710026i
$545$	2.82087	+	29.3590i	0.120833	+	1.25760i
$546$	−5.89211	−	5.87901i	−0.252159	−	0.251598i
$547$	0.306203	+	0.306203i	0.0130923	+	0.0130923i	0.713623	−	0.700530i	$-0.247053\pi$
$547$	0.306203	+	0.306203i	0.0130923	+	0.0130923i	−0.700530	+	0.713623i	$0.747053\pi$
$548$	5.39137	+	7.04532i	0.230308	+	0.300961i
$549$	−6.07041	−	10.5143i	−0.259079	−	0.448738i
$550$	−4.75668	−	37.7119i	−0.202825	−	1.60804i
$551$	1.32848	+	0.766996i	0.0565950	+	0.0326751i
$552$	−7.46592	+	37.1508i	−0.317771	+	1.58124i
$553$	27.6566	−	31.6492i	1.17608	−	1.34586i
$554$	−30.8777	+	6.12088i	−1.31187	+	0.260051i
$555$	13.3390	−	29.2538i	0.566207	−	1.24175i
$556$	26.0054	+	20.0090i	1.10288	+	0.848571i
$557$	−11.9494	−	3.20182i	−0.506311	−	0.135666i	−0.00338345	−	0.999994i	$-0.501077\pi$
$557$	−11.9494	−	3.20182i	−0.506311	−	0.135666i	−0.502927	+	0.864329i	$0.667744\pi$
$558$	−35.0629	+	17.2625i	−1.48433	+	0.730778i
$559$	−3.23058			−0.136639
$560$	8.40758	−	22.1204i	0.355285	−	0.934758i
$561$	−0.871085			−0.0367772
$562$	−10.7123	+	5.27396i	−0.451870	+	0.222469i
$563$	−39.1543	−	10.4914i	−1.65016	−	0.442159i	−0.690502	−	0.723331i	$-0.742610\pi$
$563$	−39.1543	−	10.4914i	−1.65016	−	0.442159i	−0.959657	+	0.281172i	$0.909277\pi$
$564$	−33.2350	−	25.5716i	−1.39945	−	1.07676i
$565$	17.4319	−	6.51345i	0.733365	−	0.274023i
$566$	14.7174	−	2.91743i	0.618619	−	0.122629i
$567$	−7.90812	−	23.1618i	−0.332110	−	0.972704i
$568$	34.4978	+	6.93276i	1.44750	+	0.290892i
$569$	−6.98006	−	4.02994i	−0.292619	−	0.168944i	0.346503	−	0.938049i	$-0.387369\pi$
$569$	−6.98006	−	4.02994i	−0.292619	−	0.168944i	−0.639122	+	0.769105i	$0.720702\pi$
$570$	3.08366	+	2.90583i	0.129160	+	0.121712i
$571$	6.56477	+	11.3705i	0.274727	+	0.475841i	0.970066	−	0.242840i	$-0.0780792\pi$
$571$	6.56477	+	11.3705i	0.274727	+	0.475841i	−0.695339	+	0.718682i	$0.744746\pi$
$572$	−5.97655	−	7.81002i	−0.249892	−	0.326554i
$573$	20.2747	+	20.2747i	0.846986	+	0.846986i
$574$	15.9150	−	4.28341i	0.664280	−	0.178786i
$575$	22.8299	+	15.4126i	0.952071	+	0.642748i
$576$	−14.1185	−	18.5506i	−0.588273	−	0.772942i
$577$	2.48505	−	9.27432i	0.103454	−	0.386095i	−0.894711	−	0.446645i	$-0.852619\pi$
$577$	2.48505	−	9.27432i	0.103454	−	0.386095i	0.998165	+	0.0605498i	$0.0192854\pi$
$578$	23.9829	+	1.58775i	0.997555	+	0.0660415i
$579$	−12.9479	−	7.47550i	−0.538098	−	0.310671i
$580$	−11.0027	+	5.82881i	−0.456861	+	0.242028i
$581$	28.3828	−	19.0375i	1.17752	−	0.789809i
$582$	24.4252	+	16.3436i	1.01246	+	0.677465i
$583$	4.28980	−	1.14945i	0.177665	−	0.0476053i
$584$	−5.16796	+	10.4277i	−0.213852	+	0.431502i
$585$	−0.984955	+	5.87846i	−0.0407229	+	0.243044i
$586$	−11.3275	−	3.85348i	−0.467936	−	0.159186i
$587$	−25.1848	−	25.1848i	−1.03949	−	1.03949i	−0.999188	−	0.0403000i	$-0.987169\pi$
$587$	−25.1848	−	25.1848i	−1.03949	−	1.03949i	−0.0403000	−	0.999188i	$-0.512831\pi$
$588$	−32.8665	+	8.88501i	−1.35539	+	0.366412i
$589$	5.22507			0.215295
$590$	−18.4777	+	11.4123i	−0.760714	+	0.469838i
$591$	9.78507	−	5.64941i	0.402504	−	0.232386i
$592$	20.5126	−	11.7712i	0.843063	−	0.483793i
$593$	7.35147	+	27.4360i	0.301889	+	1.12666i	0.935591	+	0.353086i	$0.114868\pi$
$593$	7.35147	+	27.4360i	0.301889	+	1.12666i	−0.633702	+	0.773577i	$0.718466\pi$
$594$	−0.309065	−	1.55913i	−0.0126811	−	0.0639718i
$595$	−0.304886	+	0.249899i	−0.0124991	+	0.0102449i
$596$	−5.46854	−	13.2515i	−0.224000	−	0.542801i
$597$	7.00015	+	26.1249i	0.286497	+	1.06922i
$598$	7.11119	+	0.470785i	0.290798	+	0.0192518i
$599$	−10.2084	−	17.6815i	−0.417106	−	0.722448i	0.578541	−	0.815653i	$-0.303622\pi$
$599$	−10.2084	−	17.6815i	−0.417106	−	0.722448i	−0.995647	+	0.0932050i	$0.970289\pi$
$600$	−33.2793	+	8.67704i	−1.35862	+	0.354239i
$601$	34.0744			1.38992			0.694962	−	0.719046i	$-0.255421\pi$
$601$	34.0744			1.38992			0.694962	+	0.719046i	$0.255421\pi$
$602$	−6.59444	+	11.4513i	−0.268769	+	0.466721i
$603$	−14.9509	+	14.9509i	−0.608848	+	0.608848i
$604$	−1.41425	+	10.6343i	−0.0575450	+	0.432703i
$605$	−32.5835	+	23.2315i	−1.32471	+	0.944495i
$606$	−10.8902	+	9.53777i	−0.442383	+	0.387445i
$607$	−1.19117	−	4.44551i	−0.0483481	−	0.180438i	0.937529	−	0.347906i	$-0.113107\pi$
$607$	−1.19117	−	4.44551i	−0.0483481	−	0.180438i	−0.985877	+	0.167469i	$0.946441\pi$
$608$	0.597999	+	3.05883i	0.0242520	+	0.124052i
$609$	16.0804	+	7.89464i	0.651612	+	0.319907i
$610$	−11.6005	−	6.24605i	−0.469689	−	0.252895i
$611$	−3.94334	+	6.83006i	−0.159530	+	0.276315i
$612$	0.0501836	+	0.385092i	0.00202855	+	0.0155664i
$613$	−6.23904	+	23.2844i	−0.251992	+	0.940448i	0.717747	+	0.696304i	$0.245174\pi$
$613$	−6.23904	+	23.2844i	−0.251992	+	0.940448i	−0.969739	+	0.244144i	$0.921493\pi$
$614$	18.0474	+	6.13951i	0.728336	+	0.247770i
$615$	−18.4794	−	15.2396i	−0.745162	−	0.614521i
$616$	−39.8837	+	5.24263i	−1.60696	+	0.211231i
$617$	26.4958	+	26.4958i	1.06668	+	1.06668i	0.997612	+	0.0690695i	$0.0220030\pi$
$617$	26.4958	+	26.4958i	1.06668	+	1.06668i	0.0690695	+	0.997612i	$0.477997\pi$
$618$	41.9465	−	20.6515i	1.68734	−	0.830724i
$619$	13.9919	−	8.07822i	0.562381	−	0.324691i	−0.191719	−	0.981450i	$-0.561406\pi$
$619$	13.9919	−	8.07822i	0.562381	−	0.324691i	0.754101	+	0.656759i	$0.228073\pi$
$620$	−22.5292	+	35.9327i	−0.904796	+	1.44309i
$621$	0.997529	+	0.575923i	0.0400294	+	0.0231110i
$622$	−1.35382	+	2.02326i	−0.0542832	+	0.0811251i
$623$	−28.1236	−	24.5758i	−1.12675	−	0.984608i
$624$	−6.30845	+	6.27537i	−0.252540	+	0.251216i
$625$	−3.49962	+	24.7538i	−0.139985	+	0.990154i
$626$	−0.421859	−	0.481677i	−0.0168609	−	0.0192517i
$627$	1.86416	−	6.95715i	0.0744474	−	0.277842i
$628$	−4.45203	+	3.40688i	−0.177655	+	0.135949i
$629$	−0.393977			−0.0157089
$630$	18.8267	+	15.4908i	0.750072	+	0.617168i
$631$			6.47807i			0.257888i	0.991652	+	0.128944i	$0.0411587\pi$
$631$			6.47807i			0.257888i	−0.991652	+	0.128944i	$0.958841\pi$
$632$	−33.7235	−	29.6926i	−1.34145	−	1.18111i
$633$	−22.1634	−	5.93868i	−0.880918	−	0.236041i
$634$	−4.39613	−	5.01947i	−0.174593	−	0.199349i
$635$	−28.0041	+	10.4638i	−1.11131	+	0.415242i
$636$	−1.53286	−	3.71445i	−0.0607819	−	0.147288i
$637$	2.47132	+	5.90705i	0.0979172	+	0.234046i
$638$	17.5910	+	11.7706i	0.696433	+	0.466004i
$639$	−18.1262	+	31.3955i	−0.717062	+	1.24199i
$640$	−23.6139	−	9.07649i	−0.933422	−	0.358780i
$641$	12.2809	+	21.2712i	0.485068	+	0.840162i	0.999853	−	0.0171574i	$-0.00546163\pi$
$641$	12.2809	+	21.2712i	0.485068	+	0.840162i	−0.514785	+	0.857319i	$0.672128\pi$
$642$	2.49868	−	1.23017i	0.0986149	−	0.0485509i
$643$	8.70388	−	8.70388i	0.343247	−	0.343247i	−0.514339	−	0.857587i	$-0.671963\pi$
$643$	8.70388	−	8.70388i	0.343247	−	0.343247i	0.857587	+	0.514339i	$0.171963\pi$
$644$	16.1846	−	24.2458i	0.637761	−	0.955419i
$645$	19.1167	−	1.83678i	0.752721	−	0.0723231i
$646$	0.0167216	−	0.0491540i	0.000657901	−	0.00193394i
$647$	−23.7468	−	6.36295i	−0.933585	−	0.250153i	−0.240202	−	0.970723i	$-0.577214\pi$
$647$	−23.7468	−	6.36295i	−0.933585	−	0.250153i	−0.693383	+	0.720570i	$0.743880\pi$
$648$	−24.7924	+	8.36144i	−0.973939	+	0.328468i
$649$	31.9719	+	18.4590i	1.25501	+	0.724579i
$650$	2.44278	+	5.98918i	0.0958137	+	0.234915i
$651$	60.8803	−	4.09855i	2.38609	−	0.160635i
$652$	33.8652	+	14.0796i	1.32626	+	0.551399i
$653$	0.774588	−	0.207550i	0.0303120	−	0.00812207i	−0.243631	−	0.969868i	$-0.578339\pi$
$653$	0.774588	−	0.207550i	0.0303120	−	0.00812207i	0.273943	+	0.961746i	$0.411672\pi$
$654$	−29.8879	−	34.1258i	−1.16871	−	1.33443i
$655$	13.8913	−	9.90428i	0.542779	−	0.386992i
$656$	−4.51547	−	17.0309i	−0.176299	−	0.664944i
$657$	−8.47842	−	8.47842i	−0.330775	−	0.330775i
$658$	16.1609	+	27.9198i	0.630019	+	1.08843i
$659$			7.60678i			0.296318i	0.988964	+	0.148159i	$0.0473347\pi$
$659$			7.60678i			0.296318i	−0.988964	+	0.148159i	$0.952665\pi$
$660$	39.8064	+	42.8173i	1.54946	+	1.66666i
$661$	−29.4704	+	17.0148i	−1.14627	+	0.661798i	−0.947975	−	0.318345i	$-0.896873\pi$
$661$	−29.4704	+	17.0148i	−1.14627	+	0.661798i	−0.198292	+	0.980143i	$0.563539\pi$
$662$	−0.732211	+	11.0600i	−0.0284582	+	0.429860i
$663$	0.143180	−	0.0383648i	0.00556063	−	0.00148997i
$664$	−20.2383	−	30.4184i	−0.785398	−	1.18046i
$665$	−1.34341	−	2.96984i	−0.0520953	−	0.115166i
$666$	4.73784	+	23.9008i	0.183587	+	0.926136i
$667$	−14.8157	+	3.96985i	−0.573665	+	0.153713i
$668$	−5.52800	−	42.4201i	−0.213885	−	1.64128i
$669$	−2.82205	−	4.88793i	−0.109107	−	0.188978i
$670$	−5.27826	+	22.3297i	−0.203917	+	0.862671i
$671$			22.3963i			0.864599i
$672$	9.36696	+	35.1710i	0.361338	+	1.35675i
$673$	−2.59342	+	2.59342i	−0.0999689	+	0.0999689i	−0.755322	−	0.655353i	$-0.772520\pi$
$673$	−2.59342	+	2.59342i	−0.0999689	+	0.0999689i	0.655353	+	0.755322i	$0.272520\pi$
$674$	1.77192	+	0.602783i	0.0682516	+	0.0232183i
$675$	−0.0733514	+	1.04283i	−0.00282329	+	0.0401386i
$676$	−19.2800	−	14.8344i	−0.741540	−	0.570553i
$677$	5.34258	+	19.9388i	0.205332	+	0.766309i	0.989348	+	0.145569i	$0.0465013\pi$
$677$	5.34258	+	19.9388i	0.205332	+	0.766309i	−0.784016	+	0.620740i	$0.786832\pi$
$678$	−15.9170	+	23.7876i	−0.611288	+	0.913558i
$679$	−12.5940	−	18.7762i	−0.483312	−	0.720563i
$680$	0.265932	+	0.326934i	0.0101980	+	0.0125373i
$681$	−8.88949	+	15.3970i	−0.340646	+	0.590016i
$682$	71.9373	+	4.76249i	2.75462	+	0.182365i
$683$	9.88302	+	2.64815i	0.378163	+	0.101328i	0.442893	−	0.896574i	$-0.353952\pi$
$683$	9.88302	+	2.64815i	0.378163	+	0.101328i	−0.0647303	+	0.997903i	$0.520619\pi$
$684$	−3.18303	−	0.423310i	−0.121706	−	0.0161857i
$685$	−6.31060	+	7.65217i	−0.241115	+	0.292374i
$686$	25.9832	+	3.29782i	0.992042	+	0.125911i
$687$	−25.0661	+	25.0661i	−0.956332	+	0.956332i
$688$	12.2155	+	7.09551i	0.465713	+	0.270514i
$689$	−0.654485	+	0.377867i	−0.0249339	+	0.0143956i
$690$	−42.3477	+	1.25730i	−1.61215	+	0.0478646i
$691$	14.6340	−	25.3468i	0.556703	−	0.964238i	−0.441066	−	0.897475i	$-0.645399\pi$
$691$	14.6340	−	25.3468i	0.556703	−	0.964238i	0.997769	−	0.0667635i	$-0.0212673\pi$
$692$	−4.15532	+	9.99467i	−0.157962	+	0.379940i
$693$	8.01339	−	40.6621i	0.304403	−	1.54462i
$694$	−3.44433	−	17.3755i	−0.130745	−	0.659565i
$695$	−15.2199	+	33.3790i	−0.577325	+	1.26614i
$696$	8.50398	−	17.1590i	0.322343	−	0.650411i
$697$	−0.0759667	+	0.283512i	−0.00287745	+	0.0107388i
$698$	39.9579	−	19.6724i	1.51243	−	0.744613i
$699$			56.4935i			2.13678i
$700$	26.2160	+	3.56661i	0.990872	+	0.134805i
$701$		−	32.7317i		−	1.23626i	−0.786076	−	0.618129i	$-0.787891\pi$
$701$		−	32.7317i		−	1.23626i	0.786076	−	0.618129i	$-0.212109\pi$
$702$	0.119469	+	0.242661i	0.00450906	+	0.00915863i
$703$	0.843129	−	3.14660i	0.0317992	−	0.118676i
$704$	5.44504	+	42.6581i	0.205218	+	1.60774i
$705$	19.4511	−	42.6585i	0.732573	−	1.60661i
$706$	1.71983	−	0.340921i	0.0647267	−	0.0128307i
$707$	10.5392	−	3.59839i	0.396367	−	0.135332i
$708$	12.8234	−	30.8437i	0.481933	−	1.15918i
$709$	2.82680	−	4.89616i	0.106163	−	0.183879i	−0.808050	−	0.589114i	$-0.799477\pi$
$709$	2.82680	−	4.89616i	0.106163	−	0.183879i	0.914213	+	0.405235i	$0.132810\pi$
$710$	1.16751	+	39.3235i	0.0438160	+	1.47579i
$711$	40.0903	−	23.1461i	1.50350	−	0.868048i
$712$	−26.3849	+	29.9669i	−0.988817	+	1.12306i
$713$	−36.9430	+	36.9430i	−1.38353	+	1.38353i
$714$	0.156276	−	0.585837i	0.00584848	−	0.0219244i
$715$	6.99555	−	8.48274i	0.261619	−	0.317236i
$716$	6.78835	−	51.0442i	0.253693	−	1.90761i
$717$	−13.4123	−	3.59380i	−0.500890	−	0.134213i
$718$	−1.76694	+	26.6896i	−0.0659416	+	0.996045i
$719$	13.4774	−	23.3435i	0.502621	−	0.870566i	−0.497374	−	0.867536i	$-0.665702\pi$
$719$	13.4774	−	23.3435i	0.502621	−	0.870566i	0.999995	−	0.00302959i	$-0.000964350\pi$
$720$	16.6355	−	20.0644i	0.619970	−	0.747758i
$721$	−35.8868	+	2.41595i	−1.33650	+	0.0899748i
$722$	−21.9750	−	14.7041i	−0.817826	−	0.547231i
$723$	2.33573	+	8.71705i	0.0868666	+	0.324191i
$724$	−6.67859	−	5.13862i	−0.248208	−	0.190975i
$725$	−9.12865	−	10.5100i	−0.339029	−	0.390332i
$726$	19.8225	−	58.2694i	0.735682	−	2.16258i
$727$	5.80966	−	5.80966i	0.215468	−	0.215468i	−0.591117	−	0.806586i	$-0.701313\pi$
$727$	5.80966	−	5.80966i	0.215468	−	0.215468i	0.806586	+	0.591117i	$0.201313\pi$
$728$	6.32474	−	2.61831i	0.234411	−	0.0970408i
$729$		−	25.4309i		−	0.941885i
$730$	−12.6628	−	2.99322i	−0.468672	−	0.110784i
$731$	−0.117666	−	0.203803i	−0.00435203	−	0.00753794i
$732$	20.0942	−	2.61859i	0.742701	−	0.0967857i
$733$	−5.34972	+	1.43345i	−0.197596	+	0.0529458i	−0.356260	−	0.934387i	$-0.615948\pi$
$733$	−5.34972	+	1.43345i	−0.197596	+	0.0529458i	0.158663	+	0.987333i	$0.449282\pi$
$734$	7.36823	−	1.46060i	0.271966	−	0.0539117i
$735$	−17.9824	−	33.5495i	−0.663290	−	1.23749i
$736$	−25.8550	−	17.3989i	−0.953027	−	0.641331i
$737$	37.6750	−	10.0950i	1.38778	−	0.371854i
$738$	18.1129	+	1.19913i	0.666745	+	0.0441408i
$739$	9.05355	−	5.22707i	0.333040	−	0.192281i	−0.324150	−	0.946006i	$-0.605078\pi$
$739$	9.05355	−	5.22707i	0.333040	−	0.192281i	0.657190	+	0.753725i	$0.271745\pi$
$740$	18.0038	+	19.3656i	0.661831	+	0.711892i
$741$			1.22564i			0.0450251i
$742$	0.00344084	+	3.09126i	0.000126317	+	0.113484i
$743$	27.1756	+	27.1756i	0.996978	+	0.996978i	0.999995	−	0.00301767i	$-0.000960556\pi$
$743$	27.1756	+	27.1756i	0.996978	+	0.996978i	−0.00301767	+	0.999995i	$0.500961\pi$
$744$	−4.13800	−	65.0997i	−0.151706	−	2.38667i
$745$	13.0502	−	9.30457i	0.478122	−	0.340893i
$746$	−24.9552	+	21.8561i	−0.913673	+	0.800208i
$747$	36.3589	−	9.74234i	1.33030	−	0.356454i
$748$	0.275020	−	0.661497i	0.0100557	−	0.0241867i
$749$	−2.13771	+	0.143914i	−0.0781103	+	0.00525849i
$750$	−17.8602	−	34.0517i	−0.652163	−	1.24339i
$751$	−12.2988	−	7.10072i	−0.448790	−	0.259109i	0.258529	−	0.966003i	$-0.416762\pi$
$751$	−12.2988	−	7.10072i	−0.448790	−	0.259109i	−0.707319	+	0.706895i	$0.750095\pi$
$752$	29.9119	−	17.1650i	1.09078	−	0.625943i
$753$	49.3678	+	13.2281i	1.79906	+	0.482057i
$754$	−3.40982	−	1.15998i	−0.124178	−	0.0422439i
$755$	−11.9392	+	1.14714i	−0.434511	+	0.0417488i
$756$	1.10402	+	0.0718556i	0.0401528	+	0.00261336i
$757$	−10.4578	+	10.4578i	−0.380094	+	0.380094i	−0.871136	−	0.491042i	$-0.836616\pi$
$757$	−10.4578	+	10.4578i	−0.380094	+	0.380094i	0.491042	+	0.871136i	$0.336616\pi$
$758$	−12.4350	−	25.2576i	−0.451661	−	0.917398i
$759$	36.0091	+	62.3695i	1.30705	+	2.26387i
$760$	−3.18025	+	1.42428i	−0.115360	+	0.0516640i
$761$	−13.1017	+	22.6928i	−0.474936	+	0.822614i	−0.999588	−	0.0287030i	$-0.990862\pi$
$761$	−13.1017	+	22.6928i	−0.474936	+	0.822614i	0.524652	+	0.851317i	$0.324196\pi$
$762$	25.5705	−	38.2145i	0.926321	−	1.38437i
$763$	11.2761	+	33.0260i	0.408221	+	1.19562i
$764$	−21.7976	+	8.99531i	−0.788609	+	0.325439i
$765$	−0.406722	+	0.151972i	−0.0147050	+	0.00549456i
$766$	−19.4830	+	17.0635i	−0.703949	+	0.616529i
$767$	−6.06818	−	1.62596i	−0.219109	−	0.0587101i
$768$	37.6366	−	9.87296i	1.35809	−	0.356260i
$769$		−	13.0567i		−	0.470838i	−0.971894	−	0.235419i	$-0.924354\pi$
$769$		−	13.0567i		−	0.470838i	0.971894	−	0.235419i	$-0.0756462\pi$
$770$	−15.7888	−	42.1124i	−0.568988	−	1.51763i
$771$	−32.6641			−1.17637
$772$	9.76479	−	7.47242i	0.351442	−	0.268938i
$773$	−9.52324	+	35.5412i	−0.342527	+	1.27833i	0.552947	+	0.833216i	$0.313503\pi$
$773$	−9.52324	+	35.5412i	−0.342527	+	1.27833i	−0.895474	+	0.445113i	$0.853164\pi$
$774$	−10.9488	+	9.58911i	−0.393546	+	0.344674i
$775$	−44.8277	−	15.4560i	−1.61026	−	0.555195i
$776$	−20.1228	+	13.3883i	−0.722366	+	0.480613i
$777$	7.35558	−	37.3242i	0.263880	−	1.33900i
$778$	−14.1484	−	9.46712i	−0.507245	−	0.339413i
$779$	−2.10177	−	1.21346i	−0.0753036	−	0.0434766i
$780$	−8.42872	−	5.28467i	−0.301797	−	0.189221i
$781$	57.9156	−	33.4376i	2.07238	−	1.19649i
$782$	0.229308	+	0.465762i	0.00820004	+	0.0166556i
$783$	−0.411622	−	0.411622i	−0.0147102	−	0.0147102i
$784$	3.62941	−	27.7638i	0.129622	−	0.991563i
$785$	−4.83551	−	3.98775i	−0.172587	−	0.142329i
$786$	−8.45093	+	24.8420i	−0.301435	+	0.886084i
$787$	−10.4418	+	38.9695i	−0.372212	+	1.38911i	0.485165	+	0.874423i	$0.338760\pi$
$787$	−10.4418	+	38.9695i	−0.372212	+	1.38911i	−0.857376	+	0.514690i	$0.827907\pi$
$788$	1.20078	+	9.21435i	0.0427759	+	0.328248i
$789$	−18.1505	+	31.4375i	−0.646173	+	1.11921i
$790$	23.8158	−	44.2319i	0.847329	−	1.57370i
$791$	18.2860	−	12.2652i	0.650176	−	0.436101i
$792$	−43.4372	−	8.72925i	−1.54347	−	0.310180i
$793$	−0.986390	−	3.68126i	−0.0350277	−	0.130725i
$794$	1.90439	+	2.17442i	0.0675843	+	0.0771674i
$795$	3.65804	−	2.60812i	0.129737	−	0.0925005i
$796$	−22.0492	−	2.93231i	−0.781513	−	0.103933i
$797$	9.64108	−	9.64108i	0.341504	−	0.341504i	−0.515428	−	0.856933i	$-0.672367\pi$
$797$	9.64108	−	9.64108i	0.341504	−	0.341504i	0.856933	+	0.515428i	$0.172367\pi$
$798$	4.34450	+	2.50185i	0.153794	+	0.0885647i
$799$	−0.574506			−0.0203246
$800$	3.91770	−	28.0116i	0.138511	−	0.990361i
$801$	−20.5677	−	35.6244i	−0.726725	−	1.25873i
$802$	−2.20593	+	33.3205i	−0.0778942	+	1.17659i
$803$	5.72472	+	21.3649i	0.202021	+	0.753952i
$804$	−13.4623	−	32.6221i	−0.474779	−	1.15049i
$805$	30.4961	+	11.4994i	1.07485	+	0.405301i
$806$	−12.0340	+	2.38550i	−0.423880	+	0.0840255i
$807$	−0.568581	−	2.12197i	−0.0200150	−	0.0746970i
$808$	−3.80467	−	11.2812i	−0.133848	−	0.396871i
$809$	−23.2201	+	13.4061i	−0.816375	+	0.471334i	−0.849165	−	0.528128i	$-0.822894\pi$
$809$	−23.2201	+	13.4061i	−0.816375	+	0.471334i	0.0327900	+	0.999462i	$0.489561\pi$
$810$	−15.3718	−	24.8884i	−0.540109	−	0.874489i
$811$	38.9194			1.36665			0.683323	−	0.730116i	$-0.260534\pi$
$811$	38.9194			1.36665			0.683323	+	0.730116i	$0.260534\pi$
$812$	−11.0721	+	9.71888i	−0.388554	+	0.341066i
$813$	33.7221	+	33.7221i	1.18268	+	1.18268i
$814$	14.4760	−	42.5530i	0.507383	−	1.49148i
$815$	−6.77596	+	40.4406i	−0.237352	+	1.41657i
$816$	−0.625657	−	0.169408i	−0.0219024	−	0.00593046i
$817$	1.87954	−	0.503621i	0.0657567	−	0.0176195i
$818$	−12.8915	+	19.2661i	−0.450741	+	0.673622i
$819$	0.473708	+	7.03652i	0.0165527	+	0.245876i
$820$	17.4072	−	9.22169i	0.607886	−	0.322035i
$821$	−41.0512	−	23.7009i	−1.43270	−	0.827169i	−0.435372	−	0.900251i	$-0.643383\pi$
$821$	−41.0512	−	23.7009i	−1.43270	−	0.827169i	−0.997326	+	0.0730821i	$0.976716\pi$
$822$	1.00775	−	15.2221i	0.0351494	−	0.530931i
$823$	8.20388	−	30.6173i	0.285969	−	1.06725i	−0.662159	−	0.749363i	$-0.730360\pi$
$823$	8.20388	−	30.6173i	0.285969	−	1.06725i	0.948128	−	0.317888i	$-0.102974\pi$
$824$	2.43921	+	38.3740i	0.0849738	+	1.33682i
$825$	−36.5728	+	54.1735i	−1.27330	+	1.88608i
$826$	−18.1502	+	18.1907i	−0.631527	+	0.632935i
$827$	7.01828	+	7.01828i	0.244050	+	0.244050i	0.818523	−	0.574474i	$-0.194793\pi$
$827$	7.01828	+	7.01828i	0.244050	+	0.244050i	−0.574474	+	0.818523i	$0.694793\pi$
$828$	25.4980	−	19.5121i	0.886118	−	0.678094i
$829$	5.58485	+	9.67324i	0.193970	+	0.335966i	0.946562	−	0.322521i	$-0.104530\pi$
$829$	5.58485	+	9.67324i	0.193970	+	0.335966i	−0.752592	+	0.658487i	$0.771197\pi$
$830$	28.0142	−	29.7286i	0.972387	−	1.03189i
$831$	46.8783	+	27.0652i	1.62619	+	0.938882i
$832$	−2.77377	−	6.77186i	−0.0961632	−	0.234772i
$833$	−0.282639	+	0.371055i	−0.00979286	+	0.0128563i
$834$	−10.9714	−	55.3469i	−0.379908	−	1.91651i
$835$	44.8027	−	16.7406i	1.55046	−	0.579331i
$836$	4.69466	+	3.61215i	0.162368	+	0.124929i
$837$	−1.91526	−	0.513191i	−0.0662009	−	0.0177385i
$838$	4.89986	+	9.95241i	0.169263	+	0.343800i
$839$	6.39503			0.220781			0.110390	−	0.993888i	$-0.464790\pi$
$839$	6.39503			0.220781			0.110390	+	0.993888i	$0.464790\pi$
$840$	−35.9376	+	19.0897i	−1.23997	+	0.658656i
$841$	−21.2483			−0.732700
$842$	2.41162	+	4.89839i	0.0831099	+	0.168810i
$843$	19.8326	+	5.31414i	0.683073	+	0.183029i
$844$	11.5073	−	14.9558i	0.396096	−	0.514800i
$845$	11.2838	−	24.7467i	0.388176	−	0.851312i
$846$	6.90881	+	34.8526i	0.237530	+	1.19826i
$847$	−31.1564	+	35.6542i	−1.07055	+	1.22509i
$848$	3.30469	+	0.00868562i	0.113483	+	0.000298265i
$849$	−22.3439	−	12.9002i	−0.766840	−	0.442735i
$850$	−0.288859	+	0.372246i	−0.00990779	+	0.0127679i
$851$	16.2863	+	28.2087i	0.558287	+	0.966982i
$852$	−36.7720	−	48.0529i	−1.25979	−	1.64626i
$853$	−30.8183	−	30.8183i	−1.05520	−	1.05520i	−0.998385	−	0.0568134i	$-0.981906\pi$
$853$	−30.8183	−	30.8183i	−1.05520	−	1.05520i	−0.0568134	−	0.998385i	$-0.518094\pi$
$854$	−15.0623	−	4.01797i	−0.515422	−	0.137492i
$855$	−0.343361	−	3.57361i	−0.0117427	−	0.122215i
$856$	0.145299	+	2.28587i	0.00496622	+	0.0781294i
$857$	−1.52944	+	5.70795i	−0.0522447	+	0.194980i	−0.987116	−	0.160008i	$-0.948848\pi$
$857$	−1.52944	+	5.70795i	−0.0522447	+	0.194980i	0.934871	+	0.354987i	$0.115515\pi$
$858$	−1.11713	+	16.8743i	−0.0381383	+	0.576079i
$859$	−15.7323	−	9.08303i	−0.536778	−	0.309909i	0.206994	−	0.978342i	$-0.433632\pi$
$859$	−15.7323	−	9.08303i	−0.536778	−	0.309909i	−0.743772	+	0.668433i	$0.766965\pi$
$860$	−4.64071	+	15.0970i	−0.158247	+	0.514805i
$861$	−25.4407	−	12.4900i	−0.867016	−	0.425659i
$862$	15.3418	−	22.9279i	0.522542	−	0.780929i
$863$	−34.5168	+	9.24874i	−1.17496	+	0.314831i	−0.792927	−	0.609316i	$-0.791444\pi$
$863$	−34.5168	+	9.24874i	−1.17496	+	0.314831i	−0.382037	+	0.924147i	$0.624777\pi$
$864$	0.0812320	−	1.17995i	0.00276357	−	0.0401427i
$865$	−11.9353	−	1.99980i	−0.405812	−	0.0679951i
$866$	−4.28529	+	12.5968i	−0.145620	+	0.428058i
$867$	−29.2255	−	29.2255i	−0.992550	−	0.992550i
$868$	−16.1088	+	47.5261i	−0.546767	+	1.61314i
$869$	−85.3957			−2.89685
$870$	20.8369	+	4.92541i	0.706438	+	0.166987i
$871$	−5.74800	+	3.31861i	−0.194764	+	0.112447i
$872$	35.3512	−	11.9224i	1.19714	−	0.403745i
$873$	−6.44489	−	24.0526i	−0.218126	−	0.814059i
$874$	−4.21066	+	0.834676i	−0.142428	+	0.0282333i
$875$	2.74068	+	29.4532i	0.0926520	+	0.995699i
$876$	18.4995	−	7.63427i	0.625040	−	0.257938i
$877$	−4.20349	−	15.6876i	−0.141942	−	0.529734i	−0.999872	−	0.0159685i	$-0.994917\pi$
$877$	−4.20349	−	15.6876i	−0.141942	−	0.529734i	0.857931	−	0.513765i	$-0.171750\pi$
$878$	−1.94451	+	29.3718i	−0.0656240	+	0.991249i
$879$	10.2875	+	17.8185i	0.346990	+	0.601004i
$880$	−45.0829	+	16.7104i	−1.51974	+	0.563306i
$881$	55.6232			1.87399			0.936996	−	0.349340i	$-0.113594\pi$
$881$	55.6232			1.87399			0.936996	+	0.349340i	$0.113594\pi$
$882$	25.9091	+	12.6842i	0.872405	+	0.427100i
$883$	15.7009	−	15.7009i	0.528378	−	0.528378i	−0.391711	−	0.920089i	$-0.628117\pi$
$883$	15.7009	−	15.7009i	0.528378	−	0.528378i	0.920089	+	0.391711i	$0.128117\pi$
$884$	−0.0160708	+	0.120842i	−0.000540518	+	0.00406436i
$885$	36.8325	+	6.17141i	1.23811	+	0.207450i
$886$	8.60707	+	9.82750i	0.289160	+	0.330161i
$887$	4.44351	+	16.5834i	0.149198	+	0.556816i	0.999533	+	0.0305729i	$0.00973318\pi$
$887$	4.44351	+	16.5834i	0.149198	+	0.556816i	−0.850334	+	0.526243i	$0.823600\pi$
$888$	−39.8715	−	8.01267i	−1.33800	−	0.268888i
$889$	−29.3763	+	19.7039i	−0.985250	+	0.660849i
$890$	−39.3047	−	21.1628i	−1.31750	−	0.709380i
$891$	−24.8632	+	43.0644i	−0.832950	+	1.44271i
$892$	4.60285	−	0.599824i	0.154115	−	0.0200836i
$893$	1.22947	−	4.58844i	0.0411426	−	0.153546i
$894$	−7.93922	+	23.3378i	−0.265527	+	0.780532i
$895$	57.3077	−	5.50625i	1.91559	−	0.184054i
$896$	−29.6660	−	3.99102i	−0.991072	−	0.133331i
$897$	−8.66569	−	8.66569i	−0.289339	−	0.289339i
$898$	−4.82489	−	9.80014i	−0.161009	−	0.327035i
$899$	22.8663	−	13.2019i	0.762635	−	0.440308i
$900$	26.0562	+	13.0473i	0.868538	+	0.434909i
$901$	−0.0476761	−	0.0275258i	−0.00158832	−	0.000917017i
$902$	−27.8305	−	18.6222i	−0.926654	−	0.620051i
$903$	21.5045	−	7.34227i	0.715625	−	0.244336i
$904$	−13.0388	−	19.5975i	−0.433665	−	0.651803i
$905$	3.90871	−	8.57223i	0.129930	−	0.284951i
$906$	13.8777	−	12.1543i	0.461055	−	0.403799i
$907$	1.31894	−	4.92236i	0.0437948	−	0.163444i	−0.940565	−	0.339613i	$-0.889704\pi$
$907$	1.31894	−	4.92236i	0.0437948	−	0.163444i	0.984360	+	0.176169i	$0.0563705\pi$
$908$	−8.88582	−	11.6118i	−0.294886	−	0.385351i
$909$	12.2658			0.406831
$910$	4.44993	+	6.22660i	0.147514	+	0.206410i
$911$		−	40.5013i		−	1.34187i	−0.741517	−	0.670934i	$-0.765893\pi$
$911$		−	40.5013i		−	1.34187i	0.741517	−	0.670934i	$-0.234107\pi$
$912$	2.69195	−	4.63443i	0.0891394	−	0.153461i
$913$	−67.0716	−	17.9718i	−2.21975	−	0.594779i
$914$	18.4840	−	16.1885i	0.611396	−	0.535469i
$915$	7.92992	+	21.2228i	0.262155	+	0.701604i
$916$	−11.1212	−	26.9490i	−0.367453	−	0.890418i
$917$	13.2829	−	15.2004i	0.438640	−	0.501963i
$918$	−0.0109571	+	0.0163751i	−0.000361637	+	0.000540459i
$919$	16.7287	−	28.9749i	0.551827	−	0.955793i	−0.446315	−	0.894876i	$-0.647264\pi$
$919$	16.7287	−	28.9749i	0.551827	−	0.955793i	0.998143	−	0.0609175i	$-0.0194026\pi$
$920$	12.4153	−	32.5555i	0.409319	−	1.07332i
$921$	−16.3905	−	28.3891i	−0.540084	−	0.935453i
$922$	6.88862	+	13.9919i	0.226865	+	0.460799i
$923$	−8.04686	+	8.04686i	−0.264865	+	0.264865i
$924$	57.5334	+	38.4047i	1.89271	+	1.26342i
$925$	−16.5413	+	24.5018i	−0.543873	+	0.805613i
$926$	13.3523	+	4.54229i	0.438785	+	0.149269i
$927$	−38.2653	−	10.2532i	−1.25680	−	0.336758i
$928$	10.3456	+	11.8753i	0.339610	+	0.389827i
$929$	12.8585	+	7.42387i	0.421874	+	0.243569i	0.695879	−	0.718159i	$-0.255015\pi$
$929$	12.8585	+	7.42387i	0.421874	+	0.243569i	−0.274005	+	0.961728i	$0.588348\pi$
$930$	69.8543	−	20.9581i	2.29061	−	0.687243i
$931$	−2.35867	−	3.05144i	−0.0773021	−	0.100007i
$932$	−42.9008	−	17.8362i	−1.40526	−	0.584243i
$933$	4.04357	−	1.08347i	0.132381	−	0.0354713i
$934$	17.3946	−	15.2344i	0.569167	−	0.498485i
$935$	0.789936	+	0.132356i	0.0258337	+	0.00432852i
$936$	7.52420	−	0.478268i	0.245936	−	0.0156327i
$937$	1.73675	+	1.73675i	0.0567371	+	0.0567371i	0.734906	−	0.678169i	$-0.237226\pi$
$937$	1.73675	+	1.73675i	0.0567371	+	0.0567371i	−0.678169	+	0.734906i	$0.737226\pi$
$938$	0.0302191	+	27.1489i	0.000986688	+	0.886444i
$939$			1.10105i			0.0359314i
$940$	26.2534	+	28.2393i	0.856293	+	0.921063i
$941$	32.5330	−	18.7829i	1.06054	−	0.612306i	0.134962	−	0.990851i	$-0.456909\pi$
$941$	32.5330	−	18.7829i	1.06054	−	0.612306i	0.925583	+	0.378545i	$0.123575\pi$
$942$	9.61903	+	0.636812i	0.313405	+	0.0207485i
$943$	23.4397	−	6.28065i	0.763302	−	0.204526i
$944$	19.3739	+	19.4760i	0.630567	+	0.633891i
$945$	0.200740	+	1.22054i	0.00653007	+	0.0397043i
$946$	26.3360	−	5.22056i	0.856256	−	0.169735i
$947$	0.0423711	−	0.0113533i	0.00137687	−	0.000368932i	−0.258131	−	0.966110i	$-0.583106\pi$
$947$	0.0423711	−	0.0113533i	0.00137687	−	0.000368932i	0.259507	+	0.965741i	$0.416440\pi$
$948$	9.98452	+	76.6178i	0.324282	+	2.48843i
$949$	−1.88193	−	3.25960i	−0.0610902	−	0.105811i
$950$	−2.35487	−	3.10367i	−0.0764019	−	0.100696i
$951$			11.4739i			0.372065i
$952$	0.395541	+	0.303636i	0.0128196	+	0.00984089i
$953$	4.92368	−	4.92368i	0.159494	−	0.159494i	−0.622849	−	0.782342i	$-0.714025\pi$
$953$	4.92368	−	4.92368i	0.159494	−	0.159494i	0.782342	+	0.622849i	$0.214025\pi$
$954$	−1.09653	+	3.22330i	−0.0355014	+	0.104358i
$955$	−15.3053	−	21.4665i	−0.495267	−	0.694640i
$956$	6.96364	−	9.05055i	0.225220	−	0.292716i
$957$	−9.42014	−	35.1564i	−0.304510	−	1.13645i
$958$	−38.3577	−	25.6662i	−1.23928	−	0.829239i
$959$	−5.17201	+	10.5348i	−0.167013	+	0.340185i
$960$	20.2638	+	38.4950i	0.654012	+	1.24242i
$961$	29.4682	−	51.0404i	0.950587	−	1.64647i
$962$	−0.505261	+	7.63196i	−0.0162903	+	0.246064i
$963$	−2.27939	−	0.610761i	−0.0734524	−	0.0196815i
$964$	−7.35711	−	0.978420i	−0.236957	−	0.0315128i
$965$	10.6059	+	8.74646i	0.341415	+	0.281558i
$966$	−48.4060	+	13.0281i	−1.55744	+	0.419172i
$967$	−39.3011	+	39.3011i	−1.26384	+	1.26384i	−0.314621	+	0.949217i	$0.601877\pi$
$967$	−39.3011	+	39.3011i	−1.26384	+	1.26384i	−0.949217	+	0.314621i	$0.898123\pi$
$968$	37.9910	+	33.4499i	1.22108	+	1.07512i
$969$	−0.0773206	+	0.0446410i	−0.00248389	+	0.00143408i
$970$	−19.6665	−	18.5323i	−0.631452	−	0.595037i
$971$	7.02841	−	12.1736i	0.225552	−	0.390668i	−0.730933	−	0.682450i	$-0.760915\pi$
$971$	7.02841	−	12.1736i	0.225552	−	0.390668i	0.956485	+	0.291781i	$0.0942479\pi$
$972$	40.3865	+	16.7908i	1.29540	+	0.538566i
$973$	−8.39282	+	42.5874i	−0.269061	+	1.36529i
$974$	53.5400	−	10.6132i	1.71553	−	0.340069i
$975$	3.62550	−	10.5152i	0.116109	−	0.336756i
$976$	−4.35561	+	16.0861i	−0.139420	+	0.514904i
$977$	−10.3619	+	38.6713i	−0.331508	+	1.23720i	0.576098	+	0.817381i	$0.304575\pi$
$977$	−10.3619	+	38.6713i	−0.331508	+	1.23720i	−0.907606	+	0.419824i	$0.862092\pi$
$978$	−27.8566	−	56.5813i	−0.890757	−	1.80927i
$979$			75.8830i			2.42523i
$980$	31.1547	−	3.06342i	0.995200	−	0.0978575i
$981$			38.4366i			1.22719i
$982$	−21.2926	+	10.4830i	−0.679475	+	0.334525i
$983$	8.79142	−	32.8100i	0.280403	−	1.04648i	−0.671731	−	0.740795i	$-0.734449\pi$
$983$	8.79142	−	32.8100i	0.280403	−	1.04648i	0.952134	−	0.305682i	$-0.0988845\pi$
$984$	−13.4541	+	27.1471i	−0.428900	+	0.865418i
$985$	−9.73190	+	3.63633i	−0.310084	+	0.115863i
$986$	−0.0510164	−	0.257361i	−0.00162469	−	0.00819603i
$987$	10.7261	−	54.4269i	0.341414	−	1.73243i
$988$	−0.930745	−	0.386961i	−0.0296109	−	0.0123109i
$989$	−9.72819	+	16.8497i	−0.309338	+	0.535790i
$990$	−1.47005	−	49.5134i	−0.0467213	−	1.57364i
$991$	−20.4545	+	11.8094i	−0.649760	+	0.375139i	−0.788364	−	0.615209i	$-0.789072\pi$
$991$	−20.4545	+	11.8094i	−0.649760	+	0.375139i	0.138604	+	0.990348i	$0.455738\pi$
$992$	50.7427	+	17.4110i	1.61108	+	0.552798i
$993$	13.4778	−	13.4778i	0.427703	−	0.427703i
$994$	12.0977	+	44.9492i	0.383717	+	1.42570i
$995$	−2.37849	−	24.7548i	−0.0754034	−	0.784780i
$996$	−8.28240	+	62.2785i	−0.262438	+	1.97337i
$997$	6.93956	+	1.85945i	0.219778	+	0.0588893i	0.367028	−	0.930210i	$-0.380375\pi$
$997$	6.93956	+	1.85945i	0.219778	+	0.0588893i	−0.147250	+	0.989099i	$0.547042\pi$
$998$	−54.8040	−	3.62821i	−1.73479	−	0.114849i
$999$	−0.618100	+	1.07058i	−0.0195558	+	0.0338717i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	280.2.br.a.107.38	yes	176
5.3	odd	4	inner	280.2.br.a.163.16	yes	176
7.4	even	3	inner	280.2.br.a.67.21	yes	176
8.3	odd	2	inner	280.2.br.a.107.44	yes	176
35.18	odd	12	inner	280.2.br.a.123.44	yes	176
40.3	even	4	inner	280.2.br.a.163.21	yes	176
56.11	odd	6	inner	280.2.br.a.67.16	✓	176
280.123	even	12	inner	280.2.br.a.123.38	yes	176

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
280.2.br.a.67.16	✓	176	56.11	odd	6	inner
280.2.br.a.67.21	yes	176	7.4	even	3	inner
280.2.br.a.107.38	yes	176	1.1	even	1	trivial
280.2.br.a.107.44	yes	176	8.3	odd	2	inner
280.2.br.a.123.38	yes	176	280.123	even	12	inner
280.2.br.a.123.44	yes	176	35.18	odd	12	inner
280.2.br.a.163.16	yes	176	5.3	odd	4	inner
280.2.br.a.163.21	yes	176	40.3	even	4	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:	\( N \)	\(=\)	\( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	280.br (of order \(12\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(1.26878 - 0.624657i) q^{2} +(-2.34901 - 0.629416i) q^{3} +(1.21961 - 1.58511i) q^{4} +(2.03455 + 0.927699i) q^{5} +(-3.37355 + 0.668737i) q^{6} +(2.59582 + 0.511566i) q^{7} +(0.557266 - 2.77299i) q^{8} +(2.52362 + 1.45701i) q^{9} +O(q^{10})\)	\(q+(1.26878 - 0.624657i) q^{2} +(-2.34901 - 0.629416i) q^{3} +(1.21961 - 1.58511i) q^{4} +(2.03455 + 0.927699i) q^{5} +(-3.37355 + 0.668737i) q^{6} +(2.59582 + 0.511566i) q^{7} +(0.557266 - 2.77299i) q^{8} +(2.52362 + 1.45701i) q^{9} +(3.16088 - 0.0938466i) q^{10} +(-2.68776 - 4.65534i) q^{11} +(-3.86256 + 2.95579i) q^{12} +(0.646818 + 0.646818i) q^{13} +(3.61308 - 0.972434i) q^{14} +(-4.19526 - 3.45975i) q^{15} +(-1.02512 - 3.86641i) q^{16} +(-0.0172462 + 0.0643638i) q^{17} +(4.11205 + 0.272232i) q^{18} +(-0.477150 - 0.275483i) q^{19} +(3.95185 - 2.09354i) q^{20} +(-5.77563 - 2.83553i) q^{21} +(-6.31817 - 4.22768i) q^{22} +(5.32137 - 1.42586i) q^{23} +(-3.05439 + 6.16303i) q^{24} +(3.27875 + 3.77489i) q^{25} +(1.22471 + 0.416631i) q^{26} +(0.147843 + 0.147843i) q^{27} +(3.97677 - 3.49074i) q^{28} -2.78419 q^{29} +(-7.48403 - 1.76906i) q^{30} +(-8.21294 + 4.74174i) q^{31} +(-3.71583 - 4.26528i) q^{32} +(3.38344 + 12.6272i) q^{33} +(0.0183236 + 0.0924365i) q^{34} +(4.80674 + 3.44895i) q^{35} +(5.38734 - 2.22322i) q^{36} +(1.53027 + 5.71106i) q^{37} +(-0.777482 - 0.0514719i) q^{38} +(-1.11227 - 1.92650i) q^{39} +(3.70628 - 5.12479i) q^{40} +4.40483 q^{41} +(-9.09924 + 0.0101282i) q^{42} +(-2.49728 + 2.49728i) q^{43} +(-10.6572 - 1.41730i) q^{44} +(3.78275 + 5.30552i) q^{45} +(5.86097 - 5.13313i) q^{46} +(2.23148 + 8.32799i) q^{47} +(-0.0255665 + 9.72747i) q^{48} +(6.47660 + 2.65587i) q^{49} +(6.51802 + 2.74142i) q^{50} +(0.0810233 - 0.140336i) q^{51} +(1.81414 - 0.236411i) q^{52} +(-0.213830 + 0.798024i) q^{53} +(0.279931 + 0.0952290i) q^{54} +(-1.14962 - 11.9649i) q^{55} +(2.86513 - 6.91311i) q^{56} +(0.947439 + 0.947439i) q^{57} +(-3.53252 + 1.73916i) q^{58} +(-5.94768 + 3.43389i) q^{59} +(-10.6006 + 2.43040i) q^{60} +(-3.60816 - 2.08317i) q^{61} +(-7.45845 + 11.1465i) q^{62} +(5.80551 + 5.07315i) q^{63} +(-7.37891 - 3.09058i) q^{64} +(0.715928 + 1.91603i) q^{65} +(12.1805 + 13.9076i) q^{66} +(-1.87796 + 7.00862i) q^{67} +(0.0809898 + 0.105836i) q^{68} -13.3974 q^{69} +(8.25311 + 1.37339i) q^{70} +12.4407i q^{71} +(5.44660 - 6.18602i) q^{72} +(-3.97448 - 1.06496i) q^{73} +(5.50904 + 6.29019i) q^{74} +(-5.32584 - 10.9310i) q^{75} +(-1.01861 + 0.420353i) q^{76} +(-4.59544 - 13.4594i) q^{77} +(-2.61463 - 1.74952i) q^{78} +(7.94301 - 13.7577i) q^{79} +(1.50122 - 8.81739i) q^{80} +(-4.62527 - 8.01120i) q^{81} +(5.58876 - 2.75151i) q^{82} +(9.13395 - 9.13395i) q^{83} +(-11.5386 + 5.69676i) q^{84} +(-0.0947985 + 0.114952i) q^{85} +(-1.60856 + 4.72845i) q^{86} +(6.54009 + 1.75241i) q^{87} +(-14.4070 + 4.85887i) q^{88} +(-12.2251 - 7.05819i) q^{89} +(8.11361 + 4.36862i) q^{90} +(1.34814 + 2.00992i) q^{91} +(4.22984 - 10.1739i) q^{92} +(22.2768 - 5.96906i) q^{93} +(8.03340 + 9.17248i) q^{94} +(-0.715219 - 1.00313i) q^{95} +(6.04390 + 12.3580i) q^{96} +(-6.04242 - 6.04242i) q^{97} +(9.87639 - 0.675937i) q^{98} -15.6644i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8	\( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) 176 * q - 2 * q^2 - 4 * q^3 - 16 * q^6 - 20 * q^8 - 2 * q^10 - 8 * q^11 - 14 * q^12 + 4 * q^16 - 4 * q^17 - 16 * q^18 + 8 * q^20 - 4 * q^25 - 20 * q^26 - 40 * q^27 - 34 * q^28 - 12 * q^30 + 18 * q^32 + 20 * q^33 - 32 * q^35 - 48 * q^36 - 16 * q^38 - 22 * q^40 - 32 * q^41 + 30 * q^42 - 16 * q^43 + 20 * q^46 + 36 * q^48 + 68 * q^50 - 8 * q^51 - 32 * q^52 - 52 * q^56 - 40 * q^57 - 14 * q^58 - 50 * q^60 + 56 * q^62 - 4 * q^65 - 60 * q^66 - 28 * q^67 - 40 * q^68 + 64 * q^70 - 48 * q^72 - 4 * q^73 - 4 * q^75 - 144 * q^76 + 184 * q^78 - 40 * q^80 + 32 * q^81 + 74 * q^82 - 16 * q^83 - 56 * q^86 - 64 * q^88 - 56 * q^90 + 16 * q^91 + 44 * q^92 - 104 * q^96 - 48 * q^97 + 70 * q^98

Introduction

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