LMFDB - Embedded newform 950.2.x.a.159.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [950,2,Mod(159,950)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(950, base_ring=CyclotomicField(30))

chi = DirichletCharacter(H, H._module([21, 10]))

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

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

chi := DirichletCharacter("950.159");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 950 = 2 \cdot 5^{2} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	950.x (of order $30$, degree $8$, 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:	$7.58578819202$
Analytic rank:	$0$
Dimension:	$400$
Relative dimension:	$50$ over $\Q(\zeta_{30})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label			159.5
Character	$\chi$	$=$	950.159
Dual form			950.2.x.a.239.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.994522 - 0.104528i) q^{2} +(-1.46570 - 1.31972i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.21506 - 0.305758i) q^{5} +(1.31972 + 1.46570i) q^{6} +2.84835i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.0930228 + 0.885053i) q^{9} +O(q^{10})$	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.46570 - 1.31972i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.21506 - 0.305758i) q^{5} +(1.31972 + 1.46570i) q^{6} +2.84835i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.0930228 + 0.885053i) q^{9} +(-2.23489 + 0.0725453i) q^{10} +(-2.16278 - 1.57135i) q^{11} +(-1.15928 - 1.59562i) q^{12} +(2.37119 - 0.249223i) q^{13} +(0.297734 - 2.83275i) q^{14} +(-3.65013 - 2.47512i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.0970847 - 0.456747i) q^{17} -0.889928i q^{18} +(4.34056 + 0.399370i) q^{19} +(2.23023 + 0.161462i) q^{20} +(3.75903 - 4.17482i) q^{21} +(1.98668 + 1.78882i) q^{22} +(2.48190 + 5.57444i) q^{23} +(0.986145 + 1.70805i) q^{24} +(4.81302 - 1.35455i) q^{25} -2.38426 q^{26} +(-2.44617 + 3.36687i) q^{27} +(-0.592206 + 2.78611i) q^{28} +(-4.95544 - 1.05331i) q^{29} +(3.37141 + 2.84310i) q^{30} +(2.09429 - 6.44557i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(1.09624 + 5.15739i) q^{33} +(0.0488097 + 0.464393i) q^{34} +(0.870906 + 6.30929i) q^{35} +(-0.0930228 + 0.885053i) q^{36} +(2.32462 + 3.19957i) q^{37} +(-4.27504 - 0.850895i) q^{38} +(-3.80436 - 2.76403i) q^{39} +(-2.20114 - 0.393700i) q^{40} +(8.31407 + 3.70166i) q^{41} +(-4.17482 + 3.75903i) q^{42} +(2.34335 - 1.35293i) q^{43} +(-1.78882 - 1.98668i) q^{44} +(0.476663 + 1.93201i) q^{45} +(-1.88562 - 5.80334i) q^{46} +(-2.63565 + 12.3998i) q^{47} +(-0.802203 - 1.80178i) q^{48} -1.11311 q^{49} +(-4.92825 + 0.844028i) q^{50} +(-0.460482 + 0.797578i) q^{51} +(2.37119 + 0.249223i) q^{52} +(2.47230 - 11.6312i) q^{53} +(2.78470 - 3.09273i) q^{54} +(-5.27115 - 2.81936i) q^{55} +(0.880189 - 2.70894i) q^{56} +(-5.83490 - 6.31368i) q^{57} +(4.81819 + 1.56552i) q^{58} +(-6.81366 - 3.03364i) q^{59} +(-3.05576 - 3.17993i) q^{60} +(9.34360 - 4.16004i) q^{61} +(-2.75656 + 6.19134i) q^{62} +(-2.52094 + 0.264962i) q^{63} +(0.809017 + 0.587785i) q^{64} +(5.17615 - 1.27706i) q^{65} +(-0.551138 - 5.24373i) q^{66} +(7.30344 - 6.57604i) q^{67} -0.466951i q^{68} +(3.71899 - 11.4459i) q^{69} +(-0.206635 - 6.36576i) q^{70} +(7.32462 - 8.13482i) q^{71} +(0.185026 - 0.870481i) q^{72} +(3.16465 + 0.332618i) q^{73} +(-1.97744 - 3.42503i) q^{74} +(-8.84206 - 4.36649i) q^{75} +(4.16268 + 1.29310i) q^{76} +(4.47576 - 6.16036i) q^{77} +(3.49460 + 3.14655i) q^{78} +(-0.280733 + 0.311785i) q^{79} +(2.14793 + 0.621625i) q^{80} +(10.6401 - 2.26162i) q^{81} +(-7.88159 - 4.55044i) q^{82} +(-10.7716 - 3.49989i) q^{83} +(4.54488 - 3.30205i) q^{84} +(-0.354703 - 0.982041i) q^{85} +(-2.47193 + 1.10058i) q^{86} +(5.87309 + 8.08362i) q^{87} +(1.57135 + 2.16278i) q^{88} +(11.8181 - 5.26177i) q^{89} +(-0.272102 - 1.97125i) q^{90} +(0.709874 + 6.75400i) q^{91} +(1.26867 + 5.96865i) q^{92} +(-11.5759 + 6.68337i) q^{93} +(3.91734 - 12.0563i) q^{94} +(9.73674 - 0.442531i) q^{95} +(0.609471 + 1.87576i) q^{96} +(-2.32881 - 2.09687i) q^{97} +(1.10701 + 0.116352i) q^{98} +(1.18954 - 2.06035i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	$ 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) $ 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/950\mathbb{Z}\right)^\times$.

$n$	$77$	$401$
$\chi(n)$	$e\left(\frac{7}{10}\right)$	$e\left(\frac{1}{3}\right)$

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 $

$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$2$	−0.994522	−	0.104528i	−0.703233	−	0.0739128i
$3$	−1.46570	−	1.31972i	−0.846221	−	0.761940i	0.126978	−	0.991905i	$-0.459472\pi$
$3$	−1.46570	−	1.31972i	−0.846221	−	0.761940i	−0.973199	+	0.229965i	$0.926139\pi$
$4$	0.978148	+	0.207912i	0.489074	+	0.103956i
$5$	2.21506	−	0.305758i	0.990607	−	0.136739i
$5$	2.21506	−	0.305758i	0.990607	−	0.136739i
$6$	1.31972	+	1.46570i	0.538773	+	0.598368i
$7$			2.84835i			1.07658i	0.842761	+	0.538288i	$0.180929\pi$
$7$			2.84835i			1.07658i	−0.842761	+	0.538288i	$0.819071\pi$
$8$	−0.951057	−	0.309017i	−0.336249	−	0.109254i
$9$	0.0930228	+	0.885053i	0.0310076	+	0.295018i
$10$	−2.23489	+	0.0725453i	−0.706735	+	0.0229409i
$11$	−2.16278	−	1.57135i	−0.652103	−	0.473780i	0.211884	−	0.977295i	$-0.432040\pi$
$11$	−2.16278	−	1.57135i	−0.652103	−	0.473780i	−0.863987	+	0.503514i	$0.832040\pi$
$12$	−1.15928	−	1.59562i	−0.334656	−	0.460615i
$13$	2.37119	−	0.249223i	0.657651	−	0.0691219i	0.230176	−	0.973149i	$-0.426070\pi$
$13$	2.37119	−	0.249223i	0.657651	−	0.0691219i	0.427475	+	0.904027i	$0.359403\pi$
$14$	0.297734	−	2.83275i	0.0795727	−	0.757084i
$15$	−3.65013	−	2.47512i	−0.942459	−	0.639072i
$16$	0.913545	+	0.406737i	0.228386	+	0.101684i
$17$	−0.0970847	−	0.456747i	−0.0235465	−	0.110778i	0.964805	−	0.262967i	$-0.0847010\pi$
$17$	−0.0970847	−	0.456747i	−0.0235465	−	0.110778i	−0.988351	+	0.152189i	$0.951368\pi$
$18$		−	0.889928i		−	0.209758i
$19$	4.34056	+	0.399370i	0.995794	+	0.0916217i
$19$	4.34056	+	0.399370i	0.995794	+	0.0916217i
$20$	2.23023	+	0.161462i	0.498695	+	0.0361040i
$21$	3.75903	−	4.17482i	0.820287	−	0.911021i
$22$	1.98668	+	1.78882i	0.423562	+	0.381377i
$23$	2.48190	+	5.57444i	0.517512	+	1.16235i	0.963596	+	0.267361i	$0.0861516\pi$
$23$	2.48190	+	5.57444i	0.517512	+	1.16235i	−0.446084	+	0.894991i	$0.647182\pi$
$24$	0.986145	+	1.70805i	0.201296	+	0.348655i
$25$	4.81302	−	1.35455i	0.962605	−	0.270909i
$26$	−2.38426			−0.467591
$27$	−2.44617	+	3.36687i	−0.470766	+	0.647953i
$28$	−0.592206	+	2.78611i	−0.111916	+	0.526525i
$29$	−4.95544	−	1.05331i	−0.920201	−	0.195595i	−0.276626	−	0.960978i	$-0.589216\pi$
$29$	−4.95544	−	1.05331i	−0.920201	−	0.195595i	−0.643575	+	0.765383i	$0.722550\pi$
$30$	3.37141	+	2.84310i	0.615533	+	0.519077i
$31$	2.09429	−	6.44557i	0.376146	−	1.15766i	−0.566556	−	0.824023i	$-0.691725\pi$
$31$	2.09429	−	6.44557i	0.376146	−	1.15766i	0.942702	−	0.333635i	$-0.108275\pi$
$32$	−0.866025	−	0.500000i	−0.153093	−	0.0883883i
$33$	1.09624	+	5.15739i	0.190830	+	0.897786i
$34$	0.0488097	+	0.464393i	0.00837080	+	0.0796428i
$35$	0.870906	+	6.30929i	0.147210	+	1.06646i
$36$	−0.0930228	+	0.885053i	−0.0155038	+	0.147509i
$37$	2.32462	+	3.19957i	0.382166	+	0.526006i	0.956157	−	0.292855i	$-0.0946055\pi$
$37$	2.32462	+	3.19957i	0.382166	+	0.526006i	−0.573991	+	0.818862i	$0.694605\pi$
$38$	−4.27504	−	0.850895i	−0.693503	−	0.138033i
$39$	−3.80436	−	2.76403i	−0.609185	−	0.442599i
$40$	−2.20114	−	0.393700i	−0.348030	−	0.0622494i
$41$	8.31407	+	3.70166i	1.29844	+	0.578102i	0.935374	−	0.353661i	$-0.115063\pi$
$41$	8.31407	+	3.70166i	1.29844	+	0.578102i	0.363066	+	0.931764i	$0.381730\pi$
$42$	−4.17482	+	3.75903i	−0.644189	+	0.580030i
$43$	2.34335	−	1.35293i	0.357358	−	0.206320i	−0.310563	−	0.950553i	$-0.600518\pi$
$43$	2.34335	−	1.35293i	0.357358	−	0.206320i	0.667921	+	0.744232i	$0.267184\pi$
$44$	−1.78882	−	1.98668i	−0.269674	−	0.299504i
$45$	0.476663	+	1.93201i	0.0710568	+	0.288007i
$46$	−1.88562	−	5.80334i	−0.278019	−	0.855655i
$47$	−2.63565	+	12.3998i	−0.384449	+	1.80869i	0.180511	+	0.983573i	$0.442225\pi$
$47$	−2.63565	+	12.3998i	−0.384449	+	1.80869i	−0.564961	+	0.825118i	$0.691109\pi$
$48$	−0.802203	−	1.80178i	−0.115788	−	0.260064i
$49$	−1.11311			−0.159016
$50$	−4.92825	+	0.844028i	−0.696959	+	0.119364i
$51$	−0.460482	+	0.797578i	−0.0644804	+	0.111683i
$52$	2.37119	+	0.249223i	0.328826	+	0.0345610i
$53$	2.47230	−	11.6312i	0.339596	−	1.59767i	−0.394677	−	0.918820i	$-0.629144\pi$
$53$	2.47230	−	11.6312i	0.339596	−	1.59767i	0.734273	−	0.678854i	$-0.237523\pi$
$54$	2.78470	−	3.09273i	0.378950	−	0.420867i
$55$	−5.27115	−	2.81936i	−0.710762	−	0.380162i
$56$	0.880189	−	2.70894i	0.117620	−	0.361998i
$57$	−5.83490	−	6.31368i	−0.772851	−	0.836268i
$58$	4.81819	+	1.56552i	0.632659	+	0.205563i
$59$	−6.81366	−	3.03364i	−0.887063	−	0.394946i	−0.0879486	−	0.996125i	$-0.528031\pi$
$59$	−6.81366	−	3.03364i	−0.887063	−	0.394946i	−0.799114	+	0.601179i	$0.794698\pi$
$60$	−3.05576	−	3.17993i	−0.394497	−	0.410528i
$61$	9.34360	−	4.16004i	1.19633	−	0.532638i	0.290740	−	0.956802i	$-0.406099\pi$
$61$	9.34360	−	4.16004i	1.19633	−	0.532638i	0.905585	+	0.424164i	$0.139432\pi$
$62$	−2.75656	+	6.19134i	−0.350084	+	0.786302i
$63$	−2.52094	+	0.264962i	−0.317609	+	0.0333820i
$64$	0.809017	+	0.587785i	0.101127	+	0.0734732i
$65$	5.17615	−	1.27706i	0.642022	−	0.158399i
$66$	−0.551138	−	5.24373i	−0.0678404	−	0.645458i
$67$	7.30344	−	6.57604i	0.892257	−	0.803392i	−0.0890129	−	0.996030i	$-0.528371\pi$
$67$	7.30344	−	6.57604i	0.892257	−	0.803392i	0.981270	+	0.192639i	$0.0617046\pi$
$68$		−	0.466951i		−	0.0566262i
$69$	3.71899	−	11.4459i	0.447713	−	1.37792i
$70$	−0.206635	−	6.36576i	−0.0246976	−	0.760853i
$71$	7.32462	−	8.13482i	0.869273	−	0.965425i	−0.130388	−	0.991463i	$-0.541622\pi$
$71$	7.32462	−	8.13482i	0.869273	−	0.965425i	0.999661	+	0.0260376i	$0.00828898\pi$
$72$	0.185026	−	0.870481i	0.0218056	−	0.102587i
$73$	3.16465	+	0.332618i	0.370394	+	0.0389300i	0.287897	−	0.957661i	$-0.407044\pi$
$73$	3.16465	+	0.332618i	0.370394	+	0.0389300i	0.0824969	+	0.996591i	$0.473711\pi$
$74$	−1.97744	−	3.42503i	−0.229873	−	0.398152i
$75$	−8.84206	−	4.36649i	−1.02099	−	0.504199i
$76$	4.16268	+	1.29310i	0.477492	+	0.148328i
$77$	4.47576	−	6.16036i	0.510061	−	0.702038i
$78$	3.49460	+	3.14655i	0.395685	+	0.356277i
$79$	−0.280733	+	0.311785i	−0.0315849	+	0.0350786i	−0.758730	−	0.651405i	$-0.774180\pi$
$79$	−0.280733	+	0.311785i	−0.0315849	+	0.0350786i	0.727145	+	0.686483i	$0.240847\pi$
$80$	2.14793	+	0.621625i	0.240145	+	0.0694997i
$81$	10.6401	−	2.26162i	1.18223	−	0.251292i
$82$	−7.88159	−	4.55044i	−0.870376	−	0.502512i
$83$	−10.7716	−	3.49989i	−1.18233	−	0.384163i	−0.349099	−	0.937086i	$-0.613512\pi$
$83$	−10.7716	−	3.49989i	−1.18233	−	0.384163i	−0.833232	+	0.552923i	$0.813512\pi$
$84$	4.54488	−	3.30205i	0.495887	−	0.360283i
$85$	−0.354703	−	0.982041i	−0.0384729	−	0.106517i
$86$	−2.47193	+	1.10058i	−0.266555	+	0.118678i
$87$	5.87309	+	8.08362i	0.629662	+	0.866655i
$88$	1.57135	+	2.16278i	0.167507	+	0.230553i
$89$	11.8181	−	5.26177i	1.25272	−	0.557747i	0.330278	−	0.943884i	$-0.392857\pi$
$89$	11.8181	−	5.26177i	1.25272	−	0.557747i	0.922442	+	0.386137i	$0.126191\pi$
$90$	−0.272102	−	1.97125i	−0.0286821	−	0.207788i
$91$	0.709874	+	6.75400i	0.0744150	+	0.708011i
$92$	1.26867	+	5.96865i	0.132269	+	0.622274i
$93$	−11.5759	+	6.68337i	−1.20037	+	0.693033i
$94$	3.91734	−	12.0563i	0.404043	−	1.24352i
$95$	9.73674	−	0.442531i	0.998969	−	0.0454027i
$96$	0.609471	+	1.87576i	0.0622039	+	0.191444i
$97$	−2.32881	−	2.09687i	−0.236455	−	0.212905i	0.542381	−	0.840132i	$-0.317523\pi$
$97$	−2.32881	−	2.09687i	−0.236455	−	0.212905i	−0.778836	+	0.627228i	$0.784189\pi$
$98$	1.10701	+	0.116352i	0.111825	+	0.0117533i
$99$	1.18954	−	2.06035i	0.119553	−	0.207073i
$100$	4.98947	−	0.324262i	0.498947	−	0.0324262i
$101$	−2.94831	+	5.10663i	−0.293368	+	0.508128i	−0.974604	−	0.223936i	$-0.928109\pi$
$101$	−2.94831	+	5.10663i	−0.293368	+	0.508128i	0.681236	+	0.732064i	$0.261443\pi$
$102$	0.541329	−	0.745075i	0.0535995	−	0.0737734i
$103$	3.18239	−	1.03402i	0.313571	−	0.101885i	−0.148004	−	0.988987i	$-0.547285\pi$
$103$	3.18239	−	1.03402i	0.313571	−	0.101885i	0.461574	+	0.887102i	$0.347285\pi$
$104$	−2.33215	−	0.495715i	−0.228687	−	0.0486088i
$105$	7.05000	−	10.3969i	0.688010	−	1.01463i
$106$	−3.67455	+	11.3091i	−0.356904	+	1.09844i
$107$		−	3.25999i		−	0.315155i	−0.987507	−	0.157577i	$-0.949632\pi$
$107$		−	3.25999i		−	0.315155i	0.987507	−	0.157577i	$-0.0503684\pi$
$108$	−3.09273	+	2.78470i	−0.297598	+	0.267958i
$109$	−7.38273	−	3.28700i	−0.707137	−	0.314838i	0.0214699	−	0.999769i	$-0.493165\pi$
$109$	−7.38273	−	3.28700i	−0.707137	−	0.314838i	−0.728607	+	0.684932i	$0.759832\pi$
$110$	4.94757	+	3.35490i	0.471733	+	0.319877i
$111$	0.815341	−	7.75746i	0.0773888	−	0.736305i
$112$	−1.15853	+	2.60210i	−0.109471	+	0.245875i
$113$	−3.16605	−	4.35769i	−0.297837	−	0.409937i	0.633703	−	0.773576i	$-0.281534\pi$
$113$	−3.16605	−	4.35769i	−0.297837	−	0.409937i	−0.931540	+	0.363639i	$0.881534\pi$
$114$	5.14297	+	6.88901i	0.481684	+	0.645215i
$115$	7.20200	+	11.5889i	0.671590	+	1.08067i
$116$	−4.62815	−	2.06059i	−0.429713	−	0.191321i
$117$	0.441150	+	2.07545i	0.0407844	+	0.191875i
$118$	6.45923	+	3.72924i	0.594620	+	0.343304i
$119$	1.30098	−	0.276531i	0.119260	−	0.0253496i
$120$	2.70663	+	3.48193i	0.247080	+	0.317855i
$121$	−1.19071	−	3.66464i	−0.108247	−	0.333149i
$122$	−9.72726	+	3.16058i	−0.880664	+	0.286145i
$123$	−7.30075	−	16.3978i	−0.658286	−	1.47854i
$124$	3.38864	−	5.86929i	0.304308	−	0.527078i
$125$	10.2470	−	4.47203i	0.916519	−	0.399990i
$126$	2.53483			0.225820
$127$	6.26004	+	14.0603i	0.555488	+	1.24765i	0.945134	+	0.326683i	$0.105931\pi$
$127$	6.26004	+	14.0603i	0.555488	+	1.24765i	−0.389646	+	0.920965i	$0.627403\pi$
$128$	−0.743145	−	0.669131i	−0.0656853	−	0.0591433i
$129$	−5.22013	−	1.10957i	−0.459607	−	0.0976925i
$130$	−5.28128	+	0.729005i	−0.463199	+	0.0639379i
$131$	−0.149916	+	0.0318656i	−0.0130982	+	0.00278411i	−0.214456	−	0.976734i	$-0.568798\pi$
$131$	−0.149916	+	0.0318656i	−0.0130982	+	0.00278411i	0.201358	+	0.979518i	$0.435465\pi$
$132$			5.27261i			0.458922i
$133$	−1.13755	+	12.3635i	−0.0986378	+	1.07205i
$134$	−7.95081	+	5.77660i	−0.686846	+	0.499022i
$135$	−4.38898	+	8.20576i	−0.377743	+	0.706239i
$136$	−0.0488097	+	0.464393i	−0.00418540	+	0.0398214i
$137$	20.4160	−	2.14581i	1.74426	−	0.183329i	0.821891	−	0.569645i	$-0.192919\pi$
$137$	20.4160	−	2.14581i	1.74426	−	0.183329i	0.922367	+	0.386316i	$0.126252\pi$
$138$	−4.89503	+	10.9944i	−0.416693	+	0.935907i
$139$	11.5529	−	5.14369i	0.979906	−	0.436282i	0.146661	−	0.989187i	$-0.453147\pi$
$139$	11.5529	−	5.14369i	0.979906	−	0.436282i	0.833245	+	0.552905i	$0.186481\pi$
$140$	−0.459900	+	6.35248i	−0.0388686	+	0.536883i
$141$	20.2273	−	14.6960i	1.70344	−	1.23762i
$142$	−8.13482	+	7.32462i	−0.682659	+	0.614669i
$143$	−5.51999	−	3.18697i	−0.461605	−	0.266508i
$144$	−0.275003	+	0.846372i	−0.0229169	+	0.0705310i
$145$	−11.2987	−	0.817989i	−0.938304	−	0.0679303i
$146$	−3.11254	−	0.661591i	−0.257596	−	0.0547537i
$147$	1.63149	+	1.46900i	0.134563	+	0.121161i
$148$	1.60860	+	3.61297i	0.132226	+	0.296984i
$149$	0.930104	+	1.61099i	0.0761971	+	0.131977i	0.901606	−	0.432558i	$-0.142389\pi$
$149$	0.930104	+	1.61099i	0.0761971	+	0.131977i	−0.825409	+	0.564535i	$0.809056\pi$
$150$	8.33720	+	5.26682i	0.680729	+	0.430034i
$151$	−19.2973			−1.57039			−0.785197	−	0.619246i	$-0.787438\pi$
$151$	−19.2973			−1.57039			−0.785197	+	0.619246i	$0.787438\pi$
$152$	−4.00471	−	1.72113i	−0.324825	−	0.139602i
$153$	0.395215	−	0.128413i	0.0319512	−	0.0103816i
$154$	−5.09518	+	5.65877i	−0.410581	+	0.455997i
$155$	2.66821	−	14.9177i	0.214316	−	1.19822i
$156$	−3.14655	−	3.49460i	−0.251926	−	0.279792i
$157$	−6.29131	+	3.63229i	−0.502101	+	0.289888i	−0.729581	−	0.683894i	$-0.760285\pi$
$157$	−6.29131	+	3.63229i	−0.502101	+	0.289888i	0.227479	+	0.973783i	$0.426952\pi$
$158$	0.311785	−	0.280733i	0.0248043	−	0.0223339i
$159$	−18.9736	+	13.7851i	−1.50471	+	1.09323i
$160$	−2.07118	−	0.842739i	−0.163741	−	0.0666243i
$161$	−15.8780	+	7.06933i	−1.25136	+	0.557142i
$162$	−10.8182	+	1.13704i	−0.849960	+	0.0893344i
$163$	7.27423	+	10.0121i	0.569762	+	0.784210i	0.992526	−	0.122029i	$-0.0389402\pi$
$163$	7.27423	+	10.0121i	0.569762	+	0.784210i	−0.422764	+	0.906240i	$0.638940\pi$
$164$	7.36277	+	5.34936i	0.574936	+	0.417715i
$165$	4.00515	+	11.0888i	0.311800	+	0.863260i
$166$	10.3467	+	4.60665i	0.803060	+	0.357545i
$167$	−9.54148	+	8.59118i	−0.738342	+	0.664806i	−0.949898	−	0.312560i	$-0.898813\pi$
$167$	−9.54148	+	8.59118i	−0.738342	+	0.664806i	0.211556	+	0.977366i	$0.432147\pi$
$168$	−4.86514	+	2.80889i	−0.375354	+	0.216710i
$169$	−7.15547	+	1.52094i	−0.550420	+	0.116995i
$170$	0.250109	+	1.01374i	0.0191824	+	0.0777501i
$171$	0.0503081	+	3.87878i	0.00384716	+	0.296618i
$172$	2.57343	−	0.836159i	0.196222	−	0.0637565i
$173$	−23.2723	−	2.44602i	−1.76936	−	0.185968i	−0.836930	−	0.547309i	$-0.815652\pi$
$173$	−23.2723	−	2.44602i	−1.76936	−	0.185968i	−0.932433	+	0.361342i	$0.882319\pi$
$174$	−4.99595	−	8.65324i	−0.378742	−	0.656001i
$175$	3.85822	+	13.7092i	0.291654	+	1.03632i
$176$	−1.33667	−	2.31518i	−0.100755	−	0.174514i
$177$	5.98321	+	13.4385i	0.449726	+	1.01010i
$178$	−12.3034	+	3.99762i	−0.922179	+	0.299634i
$179$	−0.774892	−	2.38487i	−0.0579182	−	0.178254i	0.917912	−	0.396784i	$-0.129874\pi$
$179$	−0.774892	−	2.38487i	−0.0579182	−	0.178254i	−0.975830	+	0.218530i	$0.929874\pi$
$180$	0.0645601	+	1.98889i	0.00481203	+	0.148243i
$181$	14.5304	+	16.1376i	1.08003	+	1.19950i	0.978839	+	0.204632i	$0.0655998\pi$
$181$	14.5304	+	16.1376i	1.08003	+	1.19950i	0.101194	+	0.994867i	$0.467734\pi$
$182$		−	6.79120i		−	0.503397i
$183$	−19.1850	−	6.23357i	−1.41819	−	0.460799i
$184$	−0.637832	−	6.06856i	−0.0470216	−	0.447380i
$185$	6.12749	+	6.37649i	0.450502	+	0.468809i
$186$	12.2111	−	5.43674i	0.895363	−	0.398641i
$187$	−0.507738	+	1.14040i	−0.0371295	+	0.0833942i
$188$	−5.15611	+	11.5808i	−0.376048	+	0.844618i
$189$	−9.59002	−	6.96756i	−0.697571	−	0.506815i
$190$	−9.72966	−	0.577660i	−0.705864	−	0.0419079i
$191$	−12.4333	+	9.03334i	−0.899644	+	0.653630i	−0.938375	−	0.345620i	$-0.887669\pi$
$191$	−12.4333	+	9.03334i	−0.899644	+	0.653630i	0.0387305	+	0.999250i	$0.487669\pi$
$192$	−0.410062	−	1.92919i	−0.0295937	−	0.139227i
$193$	10.6734	−	6.16228i	0.768287	−	0.443571i	−0.0639763	−	0.997951i	$-0.520378\pi$
$193$	10.6734	−	6.16228i	0.768287	−	0.443571i	0.832263	+	0.554381i	$0.187045\pi$
$194$	2.09687	+	2.32881i	0.150546	+	0.167199i
$195$	−9.27202	−	4.95929i	−0.663983	−	0.355142i
$196$	−1.08879	−	0.231429i	−0.0777706	−	0.0165306i
$197$	−1.99828	+	0.649279i	−0.142371	+	0.0462592i	−0.379336	−	0.925259i	$-0.623847\pi$
$197$	−1.99828	+	0.649279i	−0.142371	+	0.0462592i	0.236965	+	0.971518i	$0.423847\pi$
$198$	−1.39839	+	1.92472i	−0.0993793	+	0.136784i
$199$	1.13778	−	1.97069i	0.0806550	−	0.139699i	−0.822876	−	0.568220i	$-0.807632\pi$
$199$	1.13778	−	1.97069i	0.0806550	−	0.139699i	0.903531	+	0.428522i	$0.140965\pi$
$200$	−4.99604	−	0.199057i	−0.353273	−	0.0140754i
$201$	−19.3832			−1.36718
$202$	3.46595	−	4.77047i	0.243863	−	0.335649i
$203$	3.00020	−	14.1148i	0.210573	−	0.990667i
$204$	−0.616245	+	0.684409i	−0.0431458	+	0.0479182i
$205$	19.5480	+	5.65733i	1.36529	+	0.395125i
$206$	−3.27304	+	0.695707i	−0.228044	+	0.0484722i
$207$	−4.70280	+	2.71517i	−0.326868	+	0.188717i
$208$	2.26756	+	0.736776i	0.157227	+	0.0510862i
$209$	−8.76014	−	7.68431i	−0.605952	−	0.531535i
$210$	−8.09815	+	9.60297i	−0.558825	+	0.662668i
$211$	−0.625719	+	5.95332i	−0.0430763	+	0.409843i	0.951643	+	0.307207i	$0.0993944\pi$
$211$	−0.625719	+	5.95332i	−0.0430763	+	0.409843i	−0.994719	+	0.102636i	$0.967272\pi$
$212$	4.83654	−	10.8630i	0.332175	−	0.746077i
$213$	−21.4714	+	2.25673i	−1.47119	+	0.154629i
$214$	−0.340761	+	3.24213i	−0.0232940	+	0.221627i
$215$	4.77700	−	3.71333i	0.325789	−	0.253247i
$216$	3.36687	−	2.44617i	0.229086	−	0.166441i
$217$	18.3592	+	5.96528i	1.24631	+	0.404950i
$218$	6.99870	+	4.04070i	0.474012	+	0.273671i
$219$	−4.19945	−	4.66396i	−0.283773	−	0.315162i
$220$	−4.56979	−	3.85368i	−0.308095	−	0.259815i
$221$	−0.344038	−	1.05884i	−0.0231425	−	0.0712254i
$222$	−1.62175	+	7.62973i	−0.108845	+	0.512074i
$223$	3.24075	+	0.340617i	0.217017	+	0.0228094i	0.212413	−	0.977180i	$-0.431868\pi$
$223$	3.24075	+	0.340617i	0.217017	+	0.0228094i	0.00460401	+	0.999989i	$0.498534\pi$
$224$	1.42418	−	2.46675i	0.0951568	−	0.164816i
$225$	1.64657	+	4.13378i	0.109771	+	0.275585i
$226$	2.69320	+	4.66476i	0.179149	+	0.310295i
$227$	13.4398	−	18.4983i	0.892030	−	1.22777i	−0.0809107	−	0.996721i	$-0.525783\pi$
$227$	13.4398	−	18.4983i	0.892030	−	1.22777i	0.972941	−	0.231053i	$-0.0742171\pi$
$228$	−4.39470	−	7.38886i	−0.291046	−	0.489339i
$229$	−1.20642	−	3.71297i	−0.0797223	−	0.245360i	0.903250	−	0.429115i	$-0.141175\pi$
$229$	−1.20642	−	3.71297i	−0.0797223	−	0.245360i	−0.982972	+	0.183755i	$0.941175\pi$
$230$	−5.95118	−	12.2782i	−0.392409	−	0.809602i
$231$	−14.6901	+	3.12247i	−0.966535	+	0.205443i
$232$	4.38741	+	2.53307i	0.288048	+	0.166304i
$233$	−2.57858	−	12.1312i	−0.168928	−	0.794744i	−0.978258	−	0.207390i	$-0.933503\pi$
$233$	−2.57858	−	12.1312i	−0.168928	−	0.794744i	0.809330	−	0.587354i	$-0.199830\pi$
$234$	−0.221790	−	2.11019i	−0.0144989	−	0.137948i
$235$	−2.04681	+	28.2721i	−0.133519	+	1.84427i
$236$	−6.03404	−	4.38398i	−0.392782	−	0.285373i
$237$	0.822938	−	0.0864942i	0.0534555	−	0.00561840i
$238$	−1.32276	+	0.139027i	−0.0857416	+	0.00901180i
$239$	22.6519	+	16.4576i	1.46523	+	1.06455i	0.981961	+	0.189083i	$0.0605515\pi$
$239$	22.6519	+	16.4576i	1.46523	+	1.06455i	0.483271	+	0.875471i	$0.339449\pi$
$240$	−2.32784	−	3.74577i	−0.150261	−	0.241789i
$241$	2.76389	+	26.2967i	0.178038	+	1.69392i	0.610300	+	0.792171i	$0.291049\pi$
$241$	2.76389	+	26.2967i	0.178038	+	1.69392i	−0.432261	+	0.901748i	$0.642284\pi$
$242$	0.801132	+	3.76903i	0.0514987	+	0.242282i
$243$	−7.76754	−	4.48459i	−0.498288	−	0.287687i
$244$	10.0043	−	2.12649i	0.640462	−	0.136134i
$245$	−2.46562	+	0.340343i	−0.157522	+	0.0217437i
$246$	5.54672	+	17.0711i	0.353646	+	1.08841i
$247$	10.3919	−	0.134783i	0.661218	−	0.00857606i
$248$	−3.98358	+	5.48293i	−0.252958	+	0.348166i
$249$	11.1690	+	19.3452i	0.707804	+	1.22595i
$250$	−10.6583	+	3.37643i	−0.674091	+	0.213544i
$251$	3.91273	−	6.77705i	0.246970	−	0.427764i	−0.715714	−	0.698394i	$-0.753899\pi$
$251$	3.91273	−	6.77705i	0.246970	−	0.427764i	0.962684	+	0.270630i	$0.0872319\pi$
$252$	−2.52094	−	0.264962i	−0.158804	−	0.0166910i
$253$	3.39160	−	15.9562i	0.213228	−	1.00316i
$254$	−4.75604	−	14.6376i	−0.298421	−	0.918445i
$255$	−0.776132	+	1.90748i	−0.0486032	+	0.119451i
$256$	0.669131	+	0.743145i	0.0418207	+	0.0464466i
$257$	−3.26478	−	1.88492i	−0.203651	−	0.117578i	0.394706	−	0.918807i	$-0.370846\pi$
$257$	−3.26478	−	1.88492i	−0.203651	−	0.117578i	−0.598358	+	0.801229i	$0.704180\pi$
$258$	5.07556	+	1.64915i	0.315990	+	0.102671i
$259$	−9.11351	+	6.62135i	−0.566286	+	0.411431i
$260$	5.32855	−	0.172967i	0.330463	−	0.0107269i
$261$	0.471267	−	4.48380i	0.0291707	−	0.277541i
$262$	0.152426	−	0.0160206i	0.00941688	−	0.000989754i
$263$	−12.7649	+	28.6703i	−0.787114	+	1.76789i	−0.162888	+	0.986645i	$0.552081\pi$
$263$	−12.7649	+	28.6703i	−0.787114	+	1.76789i	−0.624227	+	0.781243i	$0.714586\pi$
$264$	0.551138	−	5.24373i	0.0339202	−	0.322729i
$265$	1.91996	−	26.5199i	0.117942	−	1.62910i
$266$	2.42365	−	12.1768i	0.148603	−	0.746609i
$267$	−24.2659	−	7.88446i	−1.48505	−	0.482521i
$268$	8.51108	−	4.91387i	0.519897	−	0.300162i
$269$	−20.8095	+	4.42320i	−1.26878	+	0.269687i	−0.792644	−	0.609685i	$-0.791296\pi$
$269$	−20.8095	+	4.42320i	−1.26878	+	0.269687i	−0.476135	+	0.879372i	$0.657963\pi$
$270$	5.22267	−	7.70203i	0.317842	−	0.468731i
$271$	−8.45197	+	9.38686i	−0.513420	+	0.570211i	−0.942989	−	0.332823i	$-0.891999\pi$
$271$	−8.45197	+	9.38686i	−0.513420	+	0.570211i	0.429569	+	0.903034i	$0.358666\pi$
$272$	0.0970847	−	0.456747i	0.00588662	−	0.0276944i
$273$	7.87292	−	10.8362i	0.476491	−	0.655834i
$274$	−20.5285			−1.24017
$275$	−12.5380	−	4.63337i	−0.756069	−	0.279403i
$276$	6.01745	−	10.4225i	0.362208	−	0.627362i
$277$	−1.31181	+	1.80555i	−0.0788191	+	0.108485i	−0.846606	−	0.532220i	$-0.821358\pi$
$277$	−1.31181	+	1.80555i	−0.0788191	+	0.108485i	0.767787	+	0.640705i	$0.221358\pi$
$278$	−12.0273	+	3.90791i	−0.721349	+	0.234381i
$279$	5.89948	+	1.25397i	0.353193	+	0.0750735i
$280$	1.12140	−	6.26961i	0.0670162	−	0.374681i
$281$	7.03774	+	7.81621i	0.419837	+	0.466276i	0.915546	−	0.402212i	$-0.131759\pi$
$281$	7.03774	+	7.81621i	0.419837	+	0.466276i	−0.495710	+	0.868488i	$0.665092\pi$
$282$	−21.6526	+	12.5011i	−1.28939	+	0.744432i
$283$	−0.918026	−	4.31897i	−0.0545710	−	0.256736i	0.942402	−	0.334482i	$-0.108561\pi$
$283$	−0.918026	−	4.31897i	−0.0545710	−	0.256736i	−0.996973	+	0.0777454i	$0.975228\pi$
$284$	8.85589	−	6.43418i	0.525500	−	0.381798i
$285$	−14.8551	−	12.2012i	−0.879942	−	0.722734i
$286$	5.15662	+	3.74651i	0.304918	+	0.221536i
$287$	−10.5436	+	23.6814i	−0.622371	+	1.39787i
$288$	0.361966	−	0.812990i	0.0213291	−	0.0479059i
$289$	15.3311	−	6.82584i	0.901828	−	0.401520i
$290$	11.1513	+	1.99454i	0.654825	+	0.117123i
$291$	0.646049	+	6.14674i	0.0378721	+	0.360329i
$292$	3.02634	+	0.983317i	0.177103	+	0.0575442i
$293$		−	15.4273i		−	0.901270i	−0.892708	−	0.450635i	$-0.851198\pi$
$293$		−	15.4273i		−	0.901270i	0.892708	−	0.450635i	$-0.148802\pi$
$294$	−1.46900	−	1.63149i	−0.0856736	−	0.0951502i
$295$	−16.0203	−	4.63637i	−0.932735	−	0.269940i
$296$	−1.22213	−	3.76132i	−0.0710347	−	0.218622i
$297$	10.5811	−	3.43800i	0.613975	−	0.199493i
$298$	−0.756615	−	1.69938i	−0.0438295	−	0.0984427i
$299$	7.27435	+	12.5995i	0.420687	+	0.728651i
$300$	−7.74099	−	6.10944i	−0.446926	−	0.352729i
$301$	3.85363	+	6.67469i	0.222120	+	0.384723i
$302$	19.1916	+	2.01712i	1.10435	+	0.116072i
$303$	11.0606	−	3.59382i	0.635418	−	0.206460i
$304$	3.80287	+	2.13031i	0.218109	+	0.122182i
$305$	19.4247	−	12.0716i	1.11226	−	0.691220i
$306$	−0.406472	+	0.0863984i	−0.0232365	+	0.00493907i
$307$	−1.56931	+	0.906043i	−0.0895654	+	0.0517106i	−0.544114	−	0.839011i	$-0.683134\pi$
$307$	−1.56931	+	0.906043i	−0.0895654	+	0.0517106i	0.454548	+	0.890722i	$0.349801\pi$
$308$	5.65877	−	5.09518i	0.322438	−	0.290325i
$309$	−6.02904	−	2.68430i	−0.342980	−	0.152705i
$310$	−4.21292	+	14.5571i	−0.239278	+	0.826786i
$311$	17.6186	+	12.8007i	0.999059	+	0.725859i	0.961886	−	0.273450i	$-0.0881648\pi$
$311$	17.6186	+	12.8007i	0.999059	+	0.725859i	0.0371728	+	0.999309i	$0.488165\pi$
$312$	2.76403	+	3.80436i	0.156482	+	0.215379i
$313$	−11.6514	+	1.22461i	−0.658575	+	0.0692190i	−0.427920	−	0.903817i	$-0.640753\pi$
$313$	−11.6514	+	1.22461i	−0.658575	+	0.0692190i	−0.230655	+	0.973036i	$0.574087\pi$
$314$	6.63653	−	2.95477i	0.374521	−	0.166747i
$315$	−5.50304	+	1.35770i	−0.310061	+	0.0764980i
$316$	−0.339422	+	0.246604i	−0.0190940	+	0.0138726i
$317$	6.04186	−	5.44012i	0.339345	−	0.305547i	−0.481784	−	0.876290i	$-0.660011\pi$
$317$	6.04186	−	5.44012i	0.339345	−	0.305547i	0.821129	+	0.570742i	$0.193345\pi$
$318$	20.3106	−	11.7263i	1.13896	−	0.657580i
$319$	9.06240	+	10.0648i	0.507397	+	0.563521i
$320$	1.97174	+	1.05462i	0.110224	+	0.0589550i
$321$	−4.30227	+	4.77815i	−0.240129	+	0.266691i
$322$	16.5299	−	5.37091i	0.921178	−	0.299309i
$323$	−0.238991	−	2.02131i	−0.0132978	−	0.112469i
$324$	10.8778			0.604323
$325$	11.0750	−	4.41141i	0.614332	−	0.244701i
$326$	−6.18783	−	10.7176i	−0.342712	−	0.593595i
$327$	6.48293	+	14.5609i	0.358507	+	0.805219i
$328$	−6.76327	−	6.08968i	−0.373439	−	0.336246i
$329$	−35.3189	−	7.50726i	−1.94719	−	0.413889i
$330$	−2.82412	−	11.4467i	−0.155462	−	0.630119i
$331$	−3.70040	+	11.3887i	−0.203393	+	0.625978i	0.796383	+	0.604793i	$0.206744\pi$
$331$	−3.70040	+	11.3887i	−0.203393	+	0.625978i	−0.999776	+	0.0211853i	$0.993256\pi$
$332$	−9.80850	−	5.66294i	−0.538311	−	0.310794i
$333$	−2.61555	+	2.35505i	−0.143331	+	0.129056i
$334$	10.3872	−	7.54676i	0.568364	−	0.412941i
$335$	14.1669	−	16.7994i	0.774021	−	0.917852i
$336$	5.13209	−	2.28496i	0.279979	−	0.124655i
$337$	−4.76650	+	10.7057i	−0.259648	+	0.583179i	−0.995584	−	0.0938720i	$-0.970076\pi$
$337$	−4.76650	+	10.7057i	−0.259648	+	0.583179i	0.735936	+	0.677051i	$0.236742\pi$
$338$	7.27525	−	0.764659i	0.395721	−	0.0415920i
$339$	−1.11046	+	10.5654i	−0.0603121	+	0.573831i
$340$	−0.142774	−	1.03433i	−0.00774301	−	0.0560943i
$341$	−14.6577	+	10.6495i	−0.793762	+	0.576702i
$342$	0.355410	−	3.86279i	0.0192184	−	0.208876i
$343$			16.7679i			0.905383i
$344$	−2.64674	+	0.562581i	−0.142703	+	0.0303324i
$345$	4.73814	−	26.4904i	0.255093	−	1.42620i
$346$	22.8892	+	4.86525i	1.23053	+	0.261557i
$347$	−5.98925	−	5.39275i	−0.321520	−	0.289498i	0.492527	−	0.870297i	$-0.336073\pi$
$347$	−5.98925	−	5.39275i	−0.321520	−	0.289498i	−0.814047	+	0.580799i	$0.802740\pi$
$348$	4.06407	+	9.12806i	0.217857	+	0.489315i
$349$	5.03231			0.269374			0.134687	−	0.990888i	$-0.456997\pi$
$349$	5.03231			0.269374			0.134687	+	0.990888i	$0.456997\pi$
$350$	−2.40409	−	14.0374i	−0.128504	−	0.750330i
$351$	−4.96125	+	8.59313i	−0.264812	+	0.458668i
$352$	1.08735	+	2.44222i	0.0579558	+	0.130171i
$353$	−29.2037	+	9.48885i	−1.55435	+	0.505041i	−0.955293	−	0.295662i	$-0.904460\pi$
$353$	−29.2037	+	9.48885i	−1.55435	+	0.505041i	−0.599062	+	0.800702i	$0.704460\pi$
$354$	−4.54573	−	13.9903i	−0.241603	−	0.743577i
$355$	13.7372	−	20.2587i	0.729097	−	1.07522i
$356$	12.6539	−	2.68966i	0.670654	−	0.142552i
$357$	−2.27178	−	1.31161i	−0.120236	−	0.0694180i
$358$	0.521360	+	2.45281i	0.0275548	+	0.129635i
$359$	−12.6062	−	5.61266i	−0.665332	−	0.296225i	0.0461448	−	0.998935i	$-0.485306\pi$
$359$	−12.6062	−	5.61266i	−0.665332	−	0.296225i	−0.711476	+	0.702710i	$0.751973\pi$
$360$	0.143689	−	1.98474i	0.00757309	−	0.104605i
$361$	18.6810	+	3.46698i	0.983211	+	0.182473i
$362$	−12.7639	−	17.5680i	−0.670857	−	0.923356i
$363$	−3.09107	+	6.94266i	−0.162239	+	0.364395i
$364$	−0.709874	+	6.75400i	−0.0372075	+	0.354006i
$365$	7.11160	−	0.230845i	0.372238	−	0.0120830i
$366$	18.4283	+	8.20480i	0.963262	+	0.428872i
$367$	−8.33862	+	7.50812i	−0.435272	+	0.391921i	−0.857429	−	0.514602i	$-0.827940\pi$
$367$	−8.33862	+	7.50812i	−0.435272	+	0.391921i	0.422157	+	0.906523i	$0.361273\pi$
$368$			6.10199i			0.318088i
$369$	−2.50277	+	7.70273i	−0.130289	+	0.400988i
$370$	−5.42740	−	6.98205i	−0.282157	−	0.362980i
$371$	33.1299	+	7.04197i	1.72002	+	0.365601i
$372$	−12.7125	+	4.13055i	−0.659114	+	0.214159i
$373$	−6.37973	+	8.78094i	−0.330330	+	0.454660i	−0.941586	−	0.336773i	$-0.890665\pi$
$373$	−6.37973	+	8.78094i	−0.330330	+	0.454660i	0.611256	+	0.791433i	$0.290665\pi$
$374$	0.624161	−	1.08108i	0.0322746	−	0.0559012i
$375$	−20.9208	−	6.96853i	−1.08035	−	0.359853i
$376$	6.33839	−	10.9784i	0.326877	−	0.566168i
$377$	−12.0128	−	1.26260i	−0.618691	−	0.0650271i
$378$	8.80918	+	7.93182i	0.453095	+	0.407969i
$379$	−3.45089	−	10.6208i	−0.177261	−	0.545552i	0.822469	−	0.568810i	$-0.192596\pi$
$379$	−3.45089	−	10.6208i	−0.177261	−	0.545552i	−0.999729	+	0.0232582i	$0.992596\pi$
$380$	9.61598	+	1.59152i	0.493289	+	0.0816434i
$381$	9.38030	−	28.8696i	0.480567	−	1.47903i
$382$	13.3095	−	7.68422i	0.680971	−	0.393159i
$383$	−1.25107	−	5.88582i	−0.0639267	−	0.300751i	0.934556	−	0.355816i	$-0.115797\pi$
$383$	−1.25107	−	5.88582i	−0.0639267	−	0.300751i	−0.998483	+	0.0550644i	$0.982464\pi$
$384$	0.206160	+	1.96149i	0.0105206	+	0.100097i
$385$	8.03053	−	15.0141i	0.409274	−	0.765189i
$386$	−11.2590	+	5.01285i	−0.573070	+	0.255147i
$387$	1.41540	+	1.94813i	0.0719490	+	0.0990293i
$388$	−1.84195	−	2.53523i	−0.0935110	−	0.128707i
$389$	−21.9551	+	9.77506i	−1.11317	+	0.495615i	−0.879116	−	0.476608i	$-0.841866\pi$
$389$	−21.9551	+	9.77506i	−1.11317	+	0.495615i	−0.234054	+	0.972224i	$0.575199\pi$
$390$	8.70284	+	5.90131i	0.440685	+	0.298825i
$391$	2.30516	−	1.67480i	0.116577	−	0.0846981i
$392$	1.05863	+	0.343971i	0.0534690	+	0.0173731i
$393$	0.261785	+	0.151142i	0.0132053	+	0.00762409i
$394$	2.05520	−	0.436846i	0.103539	−	0.0220080i
$395$	−0.526510	+	0.776460i	−0.0264916	+	0.0390680i
$396$	1.59192	−	1.76800i	0.0799969	−	0.0888455i
$397$	11.6475	+	10.4875i	0.584573	+	0.526352i	0.907489	−	0.420076i	$-0.137997\pi$
$397$	11.6475	+	10.4875i	0.584573	+	0.526352i	−0.322916	+	0.946428i	$0.604663\pi$
$398$	−1.33754	+	1.84097i	−0.0670448	+	0.0922792i
$399$	17.9836	−	16.6198i	0.900306	−	0.832033i
$400$	4.94786	+	0.720194i	0.247393	+	0.0360097i
$401$	12.2314	+	21.1854i	0.610808	+	1.05795i	0.991104	+	0.133086i	$0.0424887\pi$
$401$	12.2314	+	21.1854i	0.610808	+	1.05795i	−0.380296	+	0.924865i	$0.624178\pi$
$402$	19.2770	+	2.02609i	0.961448	+	0.101052i
$403$	3.35959	−	15.8056i	0.167353	−	0.787335i
$404$	−3.94561	+	4.38205i	−0.196302	+	0.218015i
$405$	22.8770	−	8.26294i	1.13677	−	0.410589i
$406$	−4.45917	+	13.7239i	−0.221305	+	0.681106i
$407$		−	10.5728i		−	0.524073i
$408$	0.684409	−	0.616245i	0.0338833	−	0.0305087i
$409$	0.182759	+	1.73884i	0.00903686	+	0.0859800i	0.998111	−	0.0614408i	$-0.0195695\pi$
$409$	0.182759	+	1.73884i	0.00903686	+	0.0859800i	−0.989074	+	0.147421i	$0.952903\pi$
$410$	−18.8496	−	7.66966i	−0.930914	−	0.378778i
$411$	−32.7556	−	23.7983i	−1.61571	−	1.17388i
$412$	3.32784	−	0.349770i	0.163951	−	0.0172319i
$413$	8.64087	−	19.4077i	0.425189	−	0.954991i
$414$	4.96085	−	2.20871i	0.243813	−	0.108552i
$415$	−24.9298	−	4.45900i	−1.22376	−	0.218884i
$416$	−2.17813	−	0.969764i	−0.106791	−	0.0475466i
$417$	−23.7213	−	7.70752i	−1.16164	−	0.377439i
$418$	7.90892	+	8.55789i	0.386838	+	0.418580i
$419$	5.53458	−	17.0337i	0.270382	−	0.832150i	−0.720022	−	0.693951i	$-0.755868\pi$
$419$	5.53458	−	17.0337i	0.270382	−	0.832150i	0.990404	−	0.138199i	$-0.0441315\pi$
$420$	9.05757	−	8.70388i	0.441964	−	0.424706i
$421$	−8.66430	+	9.62268i	−0.422272	+	0.468981i	−0.916316	−	0.400456i	$-0.868852\pi$
$421$	−8.66430	+	9.62268i	−0.422272	+	0.468981i	0.494044	+	0.869437i	$0.335518\pi$
$422$	1.24458	−	5.85530i	0.0605853	−	0.285031i
$423$	−11.2196	−	1.17923i	−0.545516	−	0.0573361i
$424$	−5.94554	+	10.2980i	−0.288741	+	0.500114i
$425$	−1.08596	−	2.06683i	−0.0526766	−	0.100256i
$426$	21.5896			1.04602
$427$	11.8493	+	26.6139i	0.573426	+	1.28794i
$428$	0.677789	−	3.18875i	0.0327622	−	0.154134i
$429$	3.88473	+	11.9560i	0.187557	+	0.577240i
$430$	−5.13898	+	3.19366i	−0.247824	+	0.154012i
$431$	−24.7142	−	27.4480i	−1.19044	−	1.32212i	−0.934726	−	0.355370i	$-0.884355\pi$
$431$	−24.7142	−	27.4480i	−1.19044	−	1.32212i	−0.255718	−	0.966752i	$-0.582312\pi$
$432$	−3.60412	+	2.08084i	−0.173403	+	0.100114i
$433$	−19.1365	+	17.2306i	−0.919641	+	0.828048i	−0.985482	−	0.169782i	$-0.945694\pi$
$433$	−19.1365	+	17.2306i	−0.919641	+	0.828048i	0.0658410	+	0.997830i	$0.479027\pi$
$434$	−17.6351	−	7.85167i	−0.846513	−	0.376892i
$435$	15.4809	+	16.1100i	0.742253	+	0.772415i
$436$	−6.53800	−	4.75013i	−0.313113	−	0.227490i
$437$	8.54659	+	25.1874i	0.408839	+	1.20488i
$438$	3.68893	+	5.07738i	0.176264	+	0.242606i
$439$	−0.639822	+	6.08750i	−0.0305370	+	0.290541i	0.968586	+	0.248678i	$0.0799960\pi$
$439$	−0.639822	+	6.08750i	−0.0305370	+	0.290541i	−0.999123	+	0.0418630i	$0.986671\pi$
$440$	4.14193	+	4.31025i	0.197459	+	0.205483i
$441$	−0.103545	−	0.985163i	−0.00493071	−	0.0469125i
$442$	0.231475	+	1.08900i	0.0110101	+	0.0517986i
$443$	1.38366	+	0.798858i	0.0657398	+	0.0379549i	0.532510	−	0.846424i	$-0.321249\pi$
$443$	1.38366	+	0.798858i	0.0657398	+	0.0379549i	−0.466770	+	0.884379i	$0.654582\pi$
$444$	2.41039	−	7.41842i	0.114392	−	0.352063i
$445$	24.5691	−	15.2687i	1.16469	−	0.723804i
$446$	−3.18740	−	0.677502i	−0.150928	−	0.0320806i
$447$	0.762801	−	3.58870i	0.0360792	−	0.169740i
$448$	−1.67422	+	2.30437i	−0.0790994	+	0.108871i
$449$	−10.9781			−0.518087			−0.259044	−	0.965866i	$-0.583407\pi$
$449$	−10.9781			−0.518087			−0.259044	+	0.965866i	$0.583407\pi$
$450$	−1.20545	−	4.28325i	−0.0568254	−	0.201914i
$451$	−12.1649	−	21.0702i	−0.572822	−	0.992157i
$452$	−2.19085	−	4.92072i	−0.103049	−	0.231451i
$453$	28.2840	+	25.4671i	1.32890	+	1.19655i
$454$	−15.2998	+	16.9921i	−0.718054	+	0.797479i
$455$	3.63750	+	14.7435i	0.170529	+	0.691186i
$456$	3.59828	+	7.80775i	0.168505	+	0.365632i
$457$		−	17.4089i		−	0.814355i	−0.913349	−	0.407178i	$-0.866513\pi$
$457$		−	17.4089i		−	0.814355i	0.913349	−	0.407178i	$-0.133487\pi$
$458$	0.811697	+	3.81874i	0.0379281	+	0.178438i
$459$	1.77529	+	0.790411i	0.0828636	+	0.0368932i
$460$	4.63516	+	12.8330i	0.216115	+	0.598343i
$461$	−2.97390	+	28.2948i	−0.138508	+	1.31782i	0.675670	+	0.737204i	$0.263854\pi$
$461$	−2.97390	+	28.2948i	−0.138508	+	1.31782i	−0.814179	+	0.580615i	$0.802812\pi$
$462$	14.9360	−	1.56983i	0.694885	−	0.0730353i
$463$	−15.1657	−	20.8738i	−0.704811	−	0.970089i	−0.999893	−	0.0146171i	$-0.995347\pi$
$463$	−15.1657	−	20.8738i	−0.704811	−	0.970089i	0.295082	−	0.955472i	$-0.404653\pi$
$464$	−4.09860	−	2.97780i	−0.190273	−	0.138241i
$465$	−23.5980	+	18.3435i	−1.09433	+	0.850661i
$466$	1.29639	+	12.3343i	0.0600541	+	0.571376i
$467$	−2.03853	−	0.662359i	−0.0943320	−	0.0306503i	0.261471	−	0.965211i	$-0.415793\pi$
$467$	−2.03853	−	0.662359i	−0.0943320	−	0.0306503i	−0.355803	+	0.934561i	$0.615793\pi$
$468$			2.12182i			0.0980810i
$469$	18.7309	+	20.8028i	0.864912	+	0.960582i
$470$	4.99085	−	27.9033i	0.230211	−	1.28708i
$471$	14.0148	+	2.97893i	0.645766	+	0.137262i
$472$	5.54273	+	4.99070i	0.255125	+	0.229715i
$473$	−7.19409	−	0.756129i	−0.330784	−	0.0347669i
$474$	−0.827471			−0.0380070
$475$	21.4322	−	3.95732i	0.983377	−	0.181574i
$476$	1.33004			0.0609624
$477$	10.5242	+	1.10614i	0.481872	+	0.0506468i
$478$	−20.8076	−	18.7352i	−0.951716	−	0.856929i
$479$	−14.1811	−	3.01429i	−0.647952	−	0.137726i	−0.127800	−	0.991800i	$-0.540792\pi$
$479$	−14.1811	−	3.01429i	−0.647952	−	0.137726i	−0.520152	+	0.854073i	$0.674125\pi$
$480$	1.92355	+	3.96858i	0.0877975	+	0.181140i
$481$	6.30954	+	7.00746i	0.287690	+	0.319513i
$482$		−	26.4415i		−	1.20438i
$483$	32.6019	+	10.5930i	1.48344	+	0.481997i
$484$	−0.402772	−	3.83212i	−0.0183078	−	0.174187i
$485$	−5.79959	−	3.93265i	−0.263346	−	0.178572i
$486$	7.25622	+	5.27195i	0.329149	+	0.239141i
$487$	−22.2167	−	30.5787i	−1.00674	−	1.38565i	−0.921100	−	0.389327i	$-0.872708\pi$
$487$	−22.2167	−	30.5787i	−1.00674	−	1.38565i	−0.0856368	−	0.996326i	$-0.527292\pi$
$488$	−10.1718	+	1.06910i	−0.460456	+	0.0483959i
$489$	2.55137	−	24.2747i	0.115377	−	1.09774i
$490$	2.48768	−	0.0807511i	0.112382	−	0.00364796i
$491$	1.63223	+	0.726714i	0.0736613	+	0.0327961i	0.443237	−	0.896405i	$-0.353830\pi$
$491$	1.63223	+	0.726714i	0.0736613	+	0.0327961i	−0.369575	+	0.929201i	$0.620497\pi$
$492$	−3.73193	−	17.5573i	−0.168248	−	0.791546i
$493$			2.36564i			0.106543i
$494$	−10.3490	−	0.952200i	−0.465624	−	0.0428415i
$495$	2.00495	−	4.92751i	0.0901156	−	0.221475i
$496$	4.53488	−	5.03649i	0.203622	−	0.226145i
$497$	23.1708	+	20.8631i	1.03935	+	0.935838i
$498$	−9.08565	−	20.4067i	−0.407138	−	0.914446i
$499$	−6.36008	−	11.0160i	−0.284716	−	0.493143i	0.687824	−	0.725877i	$-0.258566\pi$
$499$	−6.36008	−	11.0160i	−0.284716	−	0.493143i	−0.972540	+	0.232735i	$0.925233\pi$
$500$	10.9529	−	2.24383i	0.489827	−	0.100347i
$501$	25.3229			1.13134
$502$	−4.59969	+	6.33094i	−0.205294	+	0.282564i
$503$	8.00381	−	37.6549i	0.356872	−	1.67895i	−0.323613	−	0.946189i	$-0.604898\pi$
$503$	8.00381	−	37.6549i	0.356872	−	1.67895i	0.680485	−	0.732762i	$-0.261769\pi$
$504$	2.47944	+	0.527020i	0.110443	+	0.0234754i
$505$	−4.96931	+	12.2130i	−0.221132	+	0.543470i
$506$	−5.04091	+	15.5143i	−0.224096	+	0.689695i
$507$	12.4950	+	7.21397i	0.554921	+	0.320384i
$508$	3.19994	+	15.0546i	0.141975	+	0.667938i
$509$	3.59726	+	34.2257i	0.159446	+	1.51703i	0.722943	+	0.690907i	$0.242789\pi$
$509$	3.59726	+	34.2257i	0.159446	+	1.51703i	−0.563497	+	0.826118i	$0.690545\pi$
$510$	0.971266	−	1.81591i	0.0430084	−	0.0804096i
$511$	−0.947413	+	9.01403i	−0.0419111	+	0.398757i
$512$	−0.587785	−	0.809017i	−0.0259767	−	0.0357538i
$513$	−11.9624	+	13.6372i	−0.528152	+	0.602096i
$514$	3.04987	+	2.21586i	0.134524	+	0.0977374i
$515$	6.73305	−	3.26347i	0.296694	−	0.143806i
$516$	−4.87537	−	2.17065i	−0.214626	−	0.0955577i
$517$	25.1847	−	22.6764i	1.10762	−	0.997308i
$518$	9.75570	−	5.63246i	0.428641	−	0.247476i
$519$	30.8821	+	34.2981i	1.35558	+	1.50552i
$520$	−5.31744	−	0.384966i	−0.233185	−	0.0168819i
$521$	−8.38267	−	25.7992i	−0.367251	−	1.13028i	−0.948559	−	0.316600i	$-0.897459\pi$
$521$	−8.38267	−	25.7992i	−0.367251	−	1.13028i	0.581308	−	0.813684i	$-0.302541\pi$
$522$	−0.937370	+	4.40998i	−0.0410276	+	0.193020i
$523$	11.5199	+	25.8742i	0.503732	+	1.13140i	0.969186	+	0.246329i	$0.0792243\pi$
$523$	11.5199	+	25.8742i	0.503732	+	1.13140i	−0.465454	+	0.885072i	$0.654109\pi$
$524$	−0.153265			−0.00669542
$525$	12.4373	−	25.1853i	0.542808	−	1.09918i
$526$	15.6918	−	27.1790i	0.684195	−	1.18506i
$527$	−3.14732	−	0.330797i	−0.137099	−	0.0144097i
$528$	−1.09624	+	5.15739i	−0.0477076	+	0.224447i
$529$	−9.52459	+	10.5781i	−0.414113	+	0.459919i
$530$	−4.68152	+	26.1739i	−0.203352	+	1.13692i
$531$	2.05110	−	6.31265i	0.0890103	−	0.273945i
$532$	−3.68320	+	11.8568i	−0.159687	+	0.514057i
$533$	20.6368	+	6.70531i	0.893880	+	0.290439i
$534$	23.3088	+	10.3777i	1.00867	+	0.449089i
$535$	−0.996766	−	7.22108i	−0.0430940	−	0.312195i
$536$	−8.97809	+	3.99730i	−0.387794	+	0.172657i
$537$	−2.01161	+	4.51814i	−0.0868073	+	0.194972i
$538$	21.1579	−	2.22378i	0.912181	−	0.0958741i
$539$	2.40742	+	1.74909i	0.103695	+	0.0753387i
$540$	−5.99915	+	7.11392i	−0.258162	+	0.306135i
$541$	−2.28426	−	21.7333i	−0.0982079	−	0.934386i	−0.927059	−	0.374916i	$-0.877672\pi$
$541$	−2.28426	−	21.7333i	−0.0982079	−	0.934386i	0.828851	−	0.559470i	$-0.188995\pi$
$542$	9.38686	−	8.45197i	0.403200	−	0.363043i
$543$		−	42.8288i		−	1.83796i
$544$	−0.144296	+	0.444097i	−0.00618664	+	0.0190405i
$545$	−17.3583	−	5.02360i	−0.743546	−	0.215187i
$546$	−8.96248	+	9.95385i	−0.383559	+	0.425985i
$547$	7.89552	−	37.1455i	0.337588	−	1.58823i	−0.402308	−	0.915505i	$-0.631792\pi$
$547$	7.89552	−	37.1455i	0.337588	−	1.58823i	0.739895	−	0.672722i	$-0.234875\pi$
$548$	20.4160	+	2.14581i	0.872129	+	0.0916644i
$549$	4.55102	+	7.88260i	0.194233	+	0.336421i
$550$	11.9850	+	5.91856i	0.511041	+	0.252368i
$551$	−21.0887	−	6.55101i	−0.898410	−	0.279083i
$552$	−7.07393	+	9.73643i	−0.301087	+	0.414410i
$553$	−0.888074	−	0.799625i	−0.0377647	−	0.0340035i
$554$	1.49336	−	1.65854i	0.0634466	−	0.0704646i
$555$	−0.565867	−	17.4326i	−0.0240197	−	0.739971i
$556$	12.3699	−	2.62930i	0.524600	−	0.111507i
$557$	0.0340025	+	0.0196314i	0.00144073	+	0.000831808i	0.500720	−	0.865609i	$-0.333069\pi$
$557$	0.0340025	+	0.0196314i	0.00144073	+	0.000831808i	−0.499279	+	0.866441i	$0.666402\pi$
$558$	−5.73609	−	1.86377i	−0.242828	−	0.0788996i
$559$	5.21936	−	3.79209i	0.220755	−	0.160388i
$560$	−1.77061	+	6.11805i	−0.0748218	+	0.258535i
$561$	2.24920	−	1.00141i	0.0949612	−	0.0422794i
$562$	−6.18217	−	8.50903i	−0.260779	−	0.358932i
$563$	−16.8852	−	23.2405i	−0.711627	−	0.979470i	−0.999761	−	0.0218799i	$-0.993035\pi$
$563$	−16.8852	−	23.2405i	−0.711627	−	0.979470i	0.288134	−	0.957590i	$-0.406965\pi$
$564$	22.8407	−	10.1693i	0.961768	−	0.428207i
$565$	−8.34540	−	8.68453i	−0.351094	−	0.365361i
$566$	0.461541	+	4.39127i	0.0194000	+	0.184579i
$567$	6.44190	+	30.3068i	0.270535	+	1.27276i
$568$	−9.47993	+	5.47324i	−0.397769	+	0.229652i
$569$	−7.32461	+	22.5428i	−0.307064	+	0.945045i	0.671835	+	0.740701i	$0.265506\pi$
$569$	−7.32461	+	22.5428i	−0.307064	+	0.945045i	−0.978899	+	0.204344i	$0.934494\pi$
$570$	13.4984	+	13.6871i	0.565385	+	0.573290i
$571$	8.83419	+	27.1888i	0.369699	+	1.13782i	0.946986	+	0.321276i	$0.104112\pi$
$571$	8.83419	+	27.1888i	0.369699	+	1.13782i	−0.577286	+	0.816542i	$0.695888\pi$
$572$	−4.73676	−	4.26500i	−0.198054	−	0.178328i
$573$	30.1450	+	3.16836i	1.25932	+	0.132360i
$574$	12.9613	−	22.4496i	0.540992	−	0.937026i
$575$	19.4963	+	23.4681i	0.813052	+	0.978687i
$576$	−0.444964	+	0.770700i	−0.0185402	+	0.0321125i
$577$	−7.25131	+	9.98057i	−0.301876	+	0.415497i	−0.932826	−	0.360327i	$-0.882665\pi$
$577$	−7.25131	+	9.98057i	−0.301876	+	0.415497i	0.630950	+	0.775823i	$0.282665\pi$
$578$	−15.9606	+	5.18591i	−0.663873	+	0.215705i
$579$	−23.7764	−	5.05384i	−0.988115	−	0.210030i
$580$	−10.8817	−	3.14924i	−0.451838	−	0.130765i
$581$	9.96892	−	30.6812i	0.413580	−	1.27287i
$582$		−	6.18060i		−	0.256194i
$583$	−23.6238	+	21.2710i	−0.978398	+	0.880954i
$584$	−2.90697	−	1.29427i	−0.120291	−	0.0535572i
$585$	1.61176	+	4.46237i	0.0666381	+	0.184496i
$586$	−1.61259	+	15.3427i	−0.0666154	+	0.633803i
$587$	18.1959	−	40.8686i	0.751025	−	1.68683i	0.0244898	−	0.999700i	$-0.492204\pi$
$587$	18.1959	−	40.8686i	0.751025	−	1.68683i	0.726535	−	0.687129i	$-0.241129\pi$
$588$	1.29041	+	1.77610i	0.0532157	+	0.0732451i
$589$	11.6646	−	27.1410i	0.480630	−	1.11833i
$590$	15.4479	+	6.28555i	0.635978	+	0.258772i
$591$	3.78573	+	1.68552i	0.155724	+	0.0693329i
$592$	0.822267	+	3.86846i	0.0337950	+	0.158993i
$593$	11.1473	+	6.43591i	0.457765	+	0.264291i	0.711104	−	0.703087i	$-0.248195\pi$
$593$	11.1473	+	6.43591i	0.457765	+	0.264291i	−0.253339	+	0.967378i	$0.581529\pi$
$594$	−10.8825	+	2.31314i	−0.446513	+	0.0949093i
$595$	2.79720	−	1.01032i	0.114674	−	0.0414190i
$596$	0.574836	+	1.76916i	0.0235462	+	0.0724677i
$597$	−4.26840	+	1.38689i	−0.174694	+	0.0567615i
$598$	−5.91749	−	13.2909i	−0.241984	−	0.543505i
$599$	14.4999	−	25.1145i	0.592448	−	1.02615i	−0.401453	−	0.915880i	$-0.631495\pi$
$599$	14.4999	−	25.1145i	0.592448	−	1.02615i	0.993902	−	0.110271i	$-0.0351720\pi$
$600$	7.05998	+	6.88512i	0.288222	+	0.281084i
$601$	−15.1969			−0.619894			−0.309947	−	0.950754i	$-0.600311\pi$
$601$	−15.1969			−0.619894			−0.309947	+	0.950754i	$0.600311\pi$
$602$	−3.13483	−	7.04094i	−0.127766	−	0.286967i
$603$	6.49953	+	5.85221i	0.264681	+	0.238320i
$604$	−18.8756	−	4.01214i	−0.768038	−	0.163252i
$605$	−3.75800	−	7.75335i	−0.152784	−	0.315218i
$606$	−11.3757	+	2.41798i	−0.462107	+	0.0982238i
$607$			1.39953i			0.0568051i	0.999597	+	0.0284026i	$0.00904203\pi$
$607$			1.39953i			0.0568051i	−0.999597	+	0.0284026i	$0.990958\pi$
$608$	−3.55935	−	2.51615i	−0.144351	−	0.102043i
$609$	−23.0250	+	16.7286i	−0.933020	+	0.677879i
$610$	−20.5801	+	9.97507i	−0.833265	+	0.403879i
$611$	−3.15934	+	30.0591i	−0.127813	+	1.21606i
$612$	0.413277	−	0.0434371i	0.0167057	−	0.00175584i
$613$	−16.7417	+	37.6026i	−0.676192	+	1.51875i	0.169755	+	0.985486i	$0.445702\pi$
$613$	−16.7417	+	37.6026i	−0.676192	+	1.51875i	−0.845947	+	0.533267i	$0.820964\pi$
$614$	1.65542	−	0.737042i	0.0668074	−	0.0297446i
$615$	−21.1854	−	34.0898i	−0.854277	−	1.37463i
$616$	−6.16036	+	4.47576i	−0.248208	+	0.180334i
$617$	9.29211	−	8.36665i	0.374086	−	0.336829i	−0.460546	−	0.887636i	$-0.652347\pi$
$617$	9.29211	−	8.36665i	0.374086	−	0.336829i	0.834633	+	0.550807i	$0.185680\pi$
$618$	5.71543	+	3.29981i	0.229908	+	0.132738i
$619$	9.34830	−	28.7711i	0.375740	−	1.15641i	−0.567238	−	0.823554i	$-0.691988\pi$
$619$	9.34830	−	28.7711i	0.375740	−	1.15641i	0.942978	−	0.332855i	$-0.108012\pi$
$620$	5.71147	−	14.0370i	0.229378	−	0.563738i
$621$	−24.8396	−	5.27981i	−0.996777	−	0.211872i
$622$	−16.1840	−	14.5722i	−0.648921	−	0.584291i
$623$	14.9874	+	33.6622i	0.600457	+	1.34865i
$624$	−2.35122	−	4.07244i	−0.0941242	−	0.163028i
$625$	21.3304	−	13.0389i	0.853216	−	0.521557i
$626$	11.7156			0.468248
$627$	2.69858	+	22.8238i	0.107771	+	0.911494i
$628$	−6.90903	+	2.24488i	−0.275700	+	0.0895804i
$629$	1.23571	−	1.37240i	0.0492710	−	0.0547210i
$630$	5.61481	−	0.775043i	0.223699	−	0.0308785i
$631$	−28.5453	−	31.7027i	−1.13637	−	1.26207i	−0.960691	−	0.277618i	$-0.910455\pi$
$631$	−28.5453	−	31.7027i	−1.13637	−	1.26207i	−0.175678	−	0.984448i	$-0.556212\pi$
$632$	0.363339	−	0.209774i	0.0144529	−	0.00834436i
$633$	8.77382	−	7.89999i	0.348728	−	0.313996i
$634$	−6.57741	+	4.77877i	−0.261222	+	0.189789i
$635$	18.1654	+	29.2304i	0.720873	+	1.15997i
$636$	−21.4251	+	9.53906i	−0.849560	+	0.378248i
$637$	−2.63941	+	0.277413i	−0.104577	+	0.0109915i
$638$	−7.96070	−	10.9570i	−0.315167	−	0.433790i
$639$	7.88110	+	5.72596i	0.311772	+	0.226515i
$640$	−1.85071	−	1.25495i	−0.0731556	−	0.0496061i
$641$	21.2523	+	9.46214i	0.839416	+	0.373732i	0.780978	−	0.624559i	$-0.214721\pi$
$641$	21.2523	+	9.46214i	0.839416	+	0.373732i	0.0584381	+	0.998291i	$0.481388\pi$
$642$	4.77815	−	4.30227i	0.188579	−	0.169797i
$643$	26.2684	−	15.1661i	1.03592	−	0.598091i	0.117248	−	0.993103i	$-0.462593\pi$
$643$	26.2684	−	15.1661i	1.03592	−	0.598091i	0.918676	+	0.395012i	$0.129260\pi$
$644$	−17.0008	+	3.61363i	−0.669926	+	0.142397i
$645$	−11.9022	−	0.861682i	−0.468649	−	0.0339287i
$646$	0.0263970	+	2.03522i	0.00103858	+	0.0800748i
$647$	8.42924	−	2.73883i	0.331388	−	0.107674i	−0.138597	−	0.990349i	$-0.544259\pi$
$647$	8.42924	−	2.73883i	0.331388	−	0.107674i	0.469985	+	0.882674i	$0.344259\pi$
$648$	−10.8182	−	1.13704i	−0.424980	−	0.0446672i
$649$	9.96954	+	17.2677i	0.391339	+	0.677818i
$650$	−11.4755	+	3.22958i	−0.450105	+	0.126675i
$651$	−19.0366	−	32.9724i	−0.746103	−	1.29229i
$652$	5.03364	+	11.3057i	0.197132	+	0.442767i
$653$	19.6531	−	6.38568i	0.769085	−	0.249891i	0.101912	−	0.994793i	$-0.467504\pi$
$653$	19.6531	−	6.38568i	0.769085	−	0.249891i	0.667173	+	0.744902i	$0.267504\pi$
$654$	−4.92538	−	15.1588i	−0.192598	−	0.592755i
$655$	−0.322330	+	0.116422i	−0.0125945	+	0.00454900i
$656$	6.08968	+	6.76327i	0.237762	+	0.264061i
$657$			2.83182i			0.110480i
$658$	34.3407	+	11.1580i	1.33874	+	0.434983i
$659$	4.09512	+	38.9624i	0.159523	+	1.51776i	0.722548	+	0.691321i	$0.242971\pi$
$659$	4.09512	+	38.9624i	0.159523	+	1.51776i	−0.563025	+	0.826440i	$0.690362\pi$
$660$	1.61214	+	11.6792i	0.0627525	+	0.454611i
$661$	−30.8973	+	13.7563i	−1.20176	+	0.535060i	−0.907252	−	0.420588i	$-0.861824\pi$
$661$	−30.8973	+	13.7563i	−1.20176	+	0.535060i	−0.294512	+	0.955648i	$0.595157\pi$
$662$	4.87057	−	10.9395i	0.189300	−	0.425175i
$663$	−0.893118	+	2.00598i	−0.0346858	+	0.0779056i
$664$	9.16283	+	6.65719i	0.355587	+	0.258349i
$665$	1.26048	+	27.7337i	0.0488795	+	1.07547i
$666$	2.84739	−	2.06875i	0.110334	−	0.0801624i
$667$	−6.42729	−	30.2380i	−0.248866	−	1.17082i
$668$	−11.1192	+	6.41966i	−0.430214	+	0.248384i
$669$	−4.30044	−	4.77613i	−0.166265	−	0.184656i
$670$	−15.8453	+	15.2266i	−0.612158	+	0.588254i
$671$	−26.7450	−	5.68483i	−1.03248	−	0.219461i
$672$	−5.34282	+	1.73599i	−0.206104	+	0.0669672i
$673$	−4.31228	+	5.93535i	−0.166226	+	0.228791i	−0.884002	−	0.467484i	$-0.845161\pi$
$673$	−4.31228	+	5.93535i	−0.166226	+	0.228791i	0.717775	+	0.696275i	$0.245161\pi$
$674$	5.85944	−	10.1489i	0.225697	−	0.390919i
$675$	−7.21291	+	19.5183i	−0.277625	+	0.751258i
$676$	−7.31532			−0.281359
$677$	−18.7944	+	25.8683i	−0.722327	+	0.994198i	0.277116	+	0.960836i	$0.410621\pi$
$677$	−18.7944	+	25.8683i	−0.722327	+	0.994198i	−0.999443	+	0.0333617i	$0.989379\pi$
$678$	2.20876	−	10.3914i	0.0848269	−	0.399079i
$679$	5.97262	−	6.63326i	0.229208	−	0.254561i
$680$	0.0338752	+	1.04359i	0.00129905	+	0.0400197i
$681$	−44.1112	+	9.37613i	−1.69035	+	0.359294i
$682$	15.6906	−	9.05899i	0.600825	−	0.346887i
$683$	−5.85610	−	1.90276i	−0.224078	−	0.0728072i	0.194826	−	0.980838i	$-0.437586\pi$
$683$	−5.85610	−	1.90276i	−0.224078	−	0.0728072i	−0.418904	+	0.908031i	$0.637586\pi$
$684$	−0.757235	+	3.80448i	−0.0289536	+	0.145468i
$685$	44.5667	−	10.9955i	1.70281	−	0.420115i
$686$	1.75273	−	16.6761i	0.0669194	−	0.636696i
$687$	−3.13184	+	7.03422i	−0.119487	+	0.268372i
$688$	2.69104	−	0.282840i	0.102595	−	0.0107832i
$689$	2.96353	−	28.1961i	0.112901	−	1.07419i
$690$	−7.48118	+	25.8500i	−0.284804	+	0.984095i
$691$	−18.6744	+	13.5677i	−0.710407	+	0.516141i	−0.883305	−	0.468799i	$-0.844687\pi$
$691$	−18.6744	+	13.5677i	−0.710407	+	0.516141i	0.172898	+	0.984940i	$0.444687\pi$
$692$	−22.2552	−	7.23116i	−0.846017	−	0.274888i
$693$	5.86859	+	3.38823i	0.222929	+	0.128708i
$694$	5.39275	+	5.98925i	0.204706	+	0.227349i
$695$	24.0177	−	14.9260i	0.911045	−	0.566176i
$696$	−3.08767	−	9.50287i	−0.117038	−	0.360205i
$697$	0.883556	−	4.15680i	0.0334671	−	0.157450i
$698$	−5.00475	−	0.526020i	−0.189432	−	0.0199102i
$699$	−12.2304	+	21.1837i	−0.462597	+	0.801242i
$700$	0.923612	+	14.2118i	0.0349093	+	0.537155i
$701$	2.82827	+	4.89870i	0.106822	+	0.185021i	0.914481	−	0.404628i	$-0.132599\pi$
$701$	2.82827	+	4.89870i	0.106822	+	0.185021i	−0.807659	+	0.589650i	$0.799266\pi$
$702$	5.83230	−	8.02747i	0.220126	−	0.302977i
$703$	8.81237	+	14.8163i	0.332365	+	0.558809i
$704$	−0.826109	−	2.54250i	−0.0311351	−	0.0958241i
$705$	40.3113	−	38.7372i	1.51821	−	1.45893i
$706$	30.0356	−	6.38425i	1.13040	−	0.240275i
$707$	−14.5455	−	8.39783i	−0.547039	−	0.315833i
$708$	3.05844	+	14.3888i	0.114943	+	0.540765i
$709$	−0.894067	−	8.50648i	−0.0335774	−	0.319468i	−0.998399	−	0.0565624i	$-0.981986\pi$
$709$	−0.894067	−	8.50648i	−0.0335774	−	0.319468i	0.964822	−	0.262905i	$-0.0846807\pi$
$710$	−15.7796	+	18.7118i	−0.592198	+	0.702241i
$711$	−0.302061	−	0.219460i	−0.0113282	−	0.00823039i
$712$	−12.8657	+	1.35224i	−0.482162	+	0.0506773i
$713$	41.1283	−	4.32276i	1.54027	−	0.161889i
$714$	2.12224	+	1.54190i	0.0794227	+	0.0577040i
$715$	−13.2016	−	5.37156i	−0.493711	−	0.200885i
$716$	−0.262116	−	2.49387i	−0.00979574	−	0.0932002i
$717$	−11.4815	−	54.0161i	−0.428783	−	2.01727i
$718$	11.9505	+	6.89962i	0.445988	+	0.257492i
$719$	21.8898	−	4.65283i	0.816353	−	0.173521i	0.219232	−	0.975673i	$-0.429645\pi$
$719$	21.8898	−	4.65283i	0.816353	−	0.173521i	0.597121	+	0.802151i	$0.296311\pi$
$720$	−0.350365	+	1.95885i	−0.0130573	+	0.0730021i
$721$	2.94526	+	9.06458i	0.109687	+	0.337583i
$722$	−18.2163	−	5.40069i	−0.677939	−	0.200993i
$723$	30.6532	−	42.1906i	1.14001	−	1.56908i
$724$	10.8576	+	18.8060i	0.403521	+	0.698919i
$725$	−25.2774	+	1.64276i	−0.938779	+	0.0610105i
$726$	3.79985	−	6.58153i	0.141026	−	0.244263i
$727$	−47.0944	−	4.94982i	−1.74663	−	0.183579i	−0.823308	−	0.567595i	$-0.807874\pi$
$727$	−47.0944	−	4.94982i	−1.74663	−	0.183579i	−0.923326	+	0.384016i	$0.874541\pi$
$728$	1.41197	−	6.64280i	0.0523311	−	0.246198i
$729$	−4.61783	−	14.2122i	−0.171031	−	0.526379i
$730$	−7.09677	−	0.513784i	−0.262663	−	0.0190160i
$731$	−0.845452	−	0.938970i	−0.0312702	−	0.0347291i
$732$	−17.4697	−	10.0861i	−0.645699	−	0.372794i
$733$	−5.28864	−	1.71838i	−0.195340	−	0.0634699i	0.209713	−	0.977763i	$-0.432747\pi$
$733$	−5.28864	−	1.71838i	−0.195340	−	0.0634699i	−0.405053	+	0.914293i	$0.632747\pi$
$734$	9.07775	−	6.59537i	0.335066	−	0.243440i
$735$	4.06300	+	2.75508i	0.149866	+	0.101623i
$736$	0.637832	−	6.06856i	0.0235108	−	0.223690i
$737$	−26.1290	+	2.74627i	−0.962475	+	0.101160i
$738$	3.29421	−	7.39892i	0.121262	−	0.272358i
$739$	4.26024	−	40.5335i	0.156715	−	1.49105i	−0.579873	−	0.814707i	$-0.696898\pi$
$739$	4.26024	−	40.5335i	0.156715	−	1.49105i	0.736588	−	0.676341i	$-0.236436\pi$
$740$	4.66784	+	7.51112i	0.171593	+	0.276114i
$741$	−15.4092	−	13.5168i	−0.566071	−	0.496552i
$742$	−32.2123	−	10.4664i	−1.18255	−	0.384234i
$743$	−34.7199	+	20.0455i	−1.27375	+	0.735399i	−0.975691	−	0.219149i	$-0.929672\pi$
$743$	−34.7199	+	20.0455i	−1.27375	+	0.735399i	−0.298057	+	0.954548i	$0.596338\pi$
$744$	13.0746	−	2.77910i	0.479340	−	0.101887i
$745$	2.55281	+	3.28406i	0.0935278	+	0.120318i
$746$	7.26264	−	8.06598i	0.265904	−	0.295316i
$747$	2.09559	−	9.85896i	0.0766735	−	0.360721i
$748$	−0.733745	+	1.00991i	−0.0268284	+	0.0369261i
$749$	9.28559			0.339288
$750$	20.0778	+	9.11718i	0.733138	+	0.332912i
$751$	0.731591	−	1.26715i	0.0266961	−	0.0462390i	−0.852369	−	0.522941i	$-0.824835\pi$
$751$	0.731591	−	1.26715i	0.0266961	−	0.0462390i	0.879065	+	0.476702i	$0.158168\pi$
$752$	−7.45122	+	10.2557i	−0.271718	+	0.373988i
$753$	−14.6787	+	4.76940i	−0.534921	+	0.173806i
$754$	11.8150	+	2.51136i	0.430278	+	0.0914584i
$755$	−42.7448	+	5.90030i	−1.55564	+	0.214734i
$756$	−7.93182	−	8.80918i	−0.288477	−	0.320387i
$757$	−36.5762	+	21.1173i	−1.32938	+	0.767521i	−0.985204	−	0.171383i	$-0.945176\pi$
$757$	−36.5762	+	21.1173i	−1.32938	+	0.767521i	−0.344180	+	0.938904i	$0.611843\pi$
$758$	2.32182	+	10.9233i	0.0843322	+	0.396752i
$759$	−26.0288	+	18.9111i	−0.944787	+	0.686428i
$760$	−9.39694	−	2.58795i	−0.340863	−	0.0938747i
$761$	−18.9480	−	13.7666i	−0.686866	−	0.499037i	0.188763	−	0.982023i	$-0.439552\pi$
$761$	−18.9480	−	13.7666i	−0.686866	−	0.499037i	−0.875628	+	0.482986i	$0.839552\pi$
$762$	−12.3466	+	27.7309i	−0.447270	+	1.00459i
$763$	9.36255	−	21.0286i	0.338947	−	0.761287i
$764$	−14.0398	+	6.25091i	−0.507941	+	0.226150i
$765$	0.836163	−	0.405283i	0.0302315	−	0.0146530i
$766$	0.628980	+	5.98435i	0.0227260	+	0.216223i
$767$	−16.9126	−	5.49523i	−0.610677	−	0.198421i
$768$		−	1.97229i		−	0.0711689i
$769$	−28.4490	−	31.5958i	−1.02590	−	1.13937i	−0.990150	−	0.140014i	$-0.955285\pi$
$769$	−28.4490	−	31.5958i	−1.02590	−	1.13937i	−0.0357482	−	0.999361i	$-0.511381\pi$
$770$	−9.55594	+	14.0924i	−0.344372	+	0.507856i
$771$	2.29761	+	7.07132i	0.0827465	+	0.254667i
$772$	11.7214	−	3.80850i	0.421861	−	0.137071i
$773$	8.08820	+	18.1664i	0.290912	+	0.653400i	0.998587	−	0.0531383i	$-0.0169224\pi$
$773$	8.08820	+	18.1664i	0.290912	+	0.653400i	−0.707675	+	0.706538i	$0.750256\pi$
$774$	−1.20401	−	2.08541i	−0.0432774	−	0.0749586i
$775$	1.34906	−	33.8595i	0.0484597	−	1.21627i
$776$	1.56686	+	2.71388i	0.0562470	+	0.0974226i
$777$	22.0960	+	2.32238i	0.792688	+	0.0833149i
$778$	22.8566	−	7.42657i	0.819450	−	0.266256i
$779$	34.6094	+	19.3877i	1.24001	+	0.694636i
$780$	−8.03831	−	6.77868i	−0.287818	−	0.242716i
$781$	−28.6242	+	6.08427i	−1.02426	+	0.217712i
$782$	−2.46759	+	1.42467i	−0.0882410	+	0.0509460i
$783$	15.6682	−	14.1077i	0.559936	−	0.504168i
$784$	−1.01688	−	0.452744i	−0.0363171	−	0.0161694i
$785$	−12.8251	+	9.96938i	−0.457746	+	0.355822i
$786$	−0.244552	−	0.177678i	−0.00872289	−	0.00633755i
$787$	7.71757	+	10.6223i	0.275101	+	0.378645i	0.924104	−	0.382142i	$-0.124813\pi$
$787$	7.71757	+	10.6223i	0.275101	+	0.378645i	−0.649002	+	0.760787i	$0.724813\pi$
$788$	−2.08960	+	0.219626i	−0.0744389	+	0.00782385i
$789$	56.5462	−	25.1760i	2.01310	−	0.896289i
$790$	0.604788	−	0.717171i	0.0215174	−	0.0255158i
$791$	12.4122	−	9.01802i	0.441329	−	0.320644i
$792$	−1.76800	+	1.59192i	−0.0628233	+	0.0565663i
$793$	21.1187	−	12.1929i	0.749948	−	0.432983i
$794$	−10.4875	−	11.6475i	−0.372187	−	0.413355i
$795$	−37.8129	+	36.3363i	−1.34108	+	1.28872i
$796$	1.52265	−	1.69107i	0.0539687	−	0.0599384i
$797$	9.29073	−	3.01874i	0.329095	−	0.106929i	−0.139809	−	0.990178i	$-0.544649\pi$
$797$	9.29073	−	3.01874i	0.329095	−	0.106929i	0.468904	+	0.883249i	$0.344649\pi$
$798$	−19.6223	+	14.6490i	−0.694623	+	0.518569i
$799$	5.91944			0.209415
$800$	−4.84547	−	1.23344i	−0.171313	−	0.0436087i
$801$	5.75630	+	9.97021i	0.203389	+	0.352280i
$802$	−9.94994	−	22.3479i	−0.351344	−	0.789133i
$803$	−6.32178	−	5.69215i	−0.223091	−	0.200872i
$804$	−18.9596	−	4.02999i	−0.668653	−	0.142127i
$805$	−33.0093	+	20.5138i	−1.16342	+	0.723018i
$806$	−4.99333	+	15.3679i	−0.175882	+	0.541311i
$807$	36.3378	+	20.9797i	1.27915	+	0.738519i
$808$	4.38205	−	3.94561i	0.154160	−	0.138806i
$809$	−37.5932	+	27.3131i	−1.32171	+	0.960277i	−0.321799	+	0.946808i	$0.604287\pi$
$809$	−37.5932	+	27.3131i	−1.32171	+	0.960277i	−0.999909	+	0.0134691i	$0.995713\pi$
$810$	−23.6154	+	5.82637i	−0.829761	+	0.204718i
$811$	23.3723	−	10.4060i	0.820714	−	0.365405i	0.0469641	−	0.998897i	$-0.485045\pi$
$811$	23.3723	−	10.4060i	0.820714	−	0.365405i	0.773750	+	0.633491i	$0.218379\pi$
$812$	5.86928	−	13.1826i	0.205971	−	0.462619i
$813$	24.7760	−	2.60407i	0.868934	−	0.0913286i
$814$	−1.10516	+	10.5149i	−0.0387357	+	0.368546i
$815$	19.1742	+	19.9534i	0.671642	+	0.698935i
$816$	−0.745075	+	0.541329i	−0.0260829	+	0.0189503i
$817$	10.7118	−	4.93663i	0.374758	−	0.172711i
$818$		−	1.74842i		−	0.0611319i
$819$	−5.91161	+	1.25655i	−0.206568	+	0.0439075i
$820$	17.9446	+	9.59796i	0.626653	+	0.335175i
$821$	9.11958	+	1.93843i	0.318276	+	0.0676516i	0.364279	−	0.931290i	$-0.381315\pi$
$821$	9.11958	+	1.93843i	0.318276	+	0.0676516i	−0.0460038	+	0.998941i	$0.514649\pi$
$822$	30.0885	+	27.0918i	1.04946	+	0.944936i
$823$	2.25907	+	5.07395i	0.0787461	+	0.176867i	0.948628	−	0.316393i	$-0.102472\pi$
$823$	2.25907	+	5.07395i	0.0787461	+	0.176867i	−0.869882	+	0.493260i	$0.835805\pi$
$824$	−3.34617			−0.116569
$825$	12.2621	+	23.3377i	0.426913	+	0.812516i
$826$	−10.6222	+	18.3982i	−0.369593	+	0.640154i
$827$	8.59030	+	19.2941i	0.298714	+	0.670923i	0.999081	−	0.0428600i	$-0.0136469\pi$
$827$	8.59030	+	19.2941i	0.298714	+	0.670923i	−0.700367	+	0.713783i	$0.746980\pi$
$828$	−5.16455	+	1.67806i	−0.179481	+	0.0583168i
$829$	−5.96947	−	18.3722i	−0.207328	−	0.638091i	−0.999610	−	0.0279352i	$-0.991107\pi$
$829$	−5.96947	−	18.3722i	−0.207328	−	0.638091i	0.792281	−	0.610156i	$-0.208893\pi$
$830$	24.3271	+	7.04045i	0.844408	+	0.244377i
$831$	4.30554	−	0.915171i	0.149358	−	0.0317469i
$832$	2.06483	+	1.19213i	0.0715850	+	0.0413296i
$833$	0.108066	+	0.508411i	0.00374427	+	0.0176154i
$834$	22.7857	+	10.1449i	0.789005	+	0.351287i
$835$	−18.5082	+	21.9474i	−0.640502	+	0.759521i
$836$	−6.97105	−	9.33772i	−0.241099	−	0.322952i
$837$	16.5784	+	22.8182i	0.573032	+	0.788711i
$838$	−7.28477	+	16.3619i	−0.251648	+	0.565211i
$839$	−3.03906	+	28.9147i	−0.104920	+	0.998246i	0.807743	+	0.589534i	$0.200689\pi$
$839$	−3.03906	+	28.9147i	−0.104920	+	0.998246i	−0.912663	+	0.408712i	$0.865978\pi$
$840$	−9.91776	+	7.70942i	−0.342195	+	0.266000i
$841$	−3.04593	−	1.35614i	−0.105032	−	0.0467633i
$842$	9.62268	−	8.66430i	0.331619	−	0.298591i
$843$		−	20.7440i		−	0.714463i
$844$	−1.84981	+	5.69313i	−0.0636731	+	0.195966i
$845$	−15.3848	+	5.55682i	−0.529253	+	0.191160i
$846$	11.0349	+	2.34554i	0.379387	+	0.0806413i
$847$	10.4382	−	3.39157i	0.358660	−	0.116536i
$848$	6.98941	−	9.62009i	0.240017	−	0.330355i
$849$	−4.35428	+	7.54184i	−0.149439	+	0.258835i
$850$	0.863965	+	2.16902i	0.0296337	+	0.0743968i
$851$	−12.0663	+	20.8995i	−0.413629	+	0.716426i
$852$	−21.4714	−	2.25673i	−0.735597	−	0.0773143i
$853$	13.4394	+	12.1009i	0.460158	+	0.414328i	0.866333	−	0.499468i	$-0.166471\pi$
$853$	13.4394	+	12.1009i	0.460158	+	0.414328i	−0.406175	+	0.913795i	$0.633138\pi$
$854$	−9.00244	−	27.7067i	−0.308057	−	0.948102i
$855$	1.29740	+	8.57637i	0.0443702	+	0.293306i
$856$	−1.00739	+	3.10043i	−0.0344319	+	0.105971i
$857$	−32.7268	+	18.8948i	−1.11793	+	0.645435i	−0.940871	−	0.338766i	$-0.889991\pi$
$857$	−32.7268	+	18.8948i	−1.11793	+	0.645435i	−0.177056	+	0.984201i	$0.556657\pi$
$858$	−2.61371	−	12.2965i	−0.0892306	−	0.419797i
$859$	0.813806	+	7.74284i	0.0277667	+	0.264182i	0.999594	+	0.0284888i	$0.00906950\pi$
$859$	0.813806	+	7.74284i	0.0277667	+	0.264182i	−0.971827	+	0.235694i	$0.924264\pi$
$860$	5.44466	−	2.63899i	0.185661	−	0.0899889i
$861$	46.7066	−	20.7951i	1.59176	−	0.708695i
$862$	21.7098	+	29.8809i	0.739438	+	1.01775i
$863$	10.9891	+	15.1252i	0.374073	+	0.514868i	0.954002	−	0.299799i	$-0.0969197\pi$
$863$	10.9891	+	15.1252i	0.374073	+	0.514868i	−0.579929	+	0.814667i	$0.696920\pi$
$864$	3.80188	−	1.69271i	0.129343	−	0.0575870i
$865$	−52.2976	+	1.69760i	−1.77817	+	0.0577201i
$866$	20.8327	−	15.1359i	0.707925	−	0.514338i
$867$	−31.4789	−	10.2281i	−1.06908	−	0.347365i
$868$	16.7178	+	9.65203i	0.567439	+	0.327611i
$869$	1.09709	−	0.233193i	0.0372161	−	0.00791053i
$870$	−13.7122	−	17.6399i	−0.464886	−	0.598050i
$871$	15.6790	−	17.4133i	0.531262	−	0.590026i
$872$	6.00566	+	5.40752i	0.203377	+	0.183122i
$873$	1.63921	−	2.25617i	0.0554787	−	0.0763599i
$874$	−5.86697	−	25.9428i	−0.198453	−	0.877529i
$875$	12.7379	+	29.1871i	0.430620	+	0.986703i
$876$	−3.13799	−	5.43516i	−0.106023	−	0.183637i
$877$	−2.01284	−	0.211558i	−0.0679688	−	0.00714380i	0.0704830	−	0.997513i	$-0.477546\pi$
$877$	−2.01284	−	0.211558i	−0.0679688	−	0.00714380i	−0.138452	+	0.990369i	$0.544213\pi$
$878$	1.27263	−	5.98727i	0.0429493	−	0.202061i
$879$	−20.3597	+	22.6117i	−0.686714	+	0.762673i
$880$	−3.66870	−	4.71958i	−0.123672	−	0.159097i
$881$	15.0770	−	46.4022i	0.507957	−	1.56333i	−0.287784	−	0.957695i	$-0.592919\pi$
$881$	15.0770	−	46.4022i	0.507957	−	1.56333i	0.795742	−	0.605636i	$-0.207081\pi$
$882$			0.990590i			0.0333549i
$883$	−36.9179	+	33.2411i	−1.24239	+	1.11865i	−0.253919	+	0.967226i	$0.581720\pi$
$883$	−36.9179	+	33.2411i	−1.24239	+	1.11865i	−0.988469	+	0.151425i	$0.951614\pi$
$884$	−0.116375	−	1.10723i	−0.00391411	−	0.0372403i
$885$	17.3621	+	27.9378i	0.583622	+	0.939118i
$886$	−1.29258	−	0.939114i	−0.0434251	−	0.0315502i
$887$	−23.0460	+	2.42224i	−0.773810	+	0.0813307i	−0.483199	−	0.875511i	$-0.660525\pi$
$887$	−23.0460	+	2.42224i	−0.773810	+	0.0813307i	−0.290611	+	0.956841i	$0.593859\pi$
$888$	−3.17262	+	7.12582i	−0.106466	+	0.239127i
$889$	−40.0486	+	17.8308i	−1.34319	+	0.598026i
$890$	−26.0305	+	12.6168i	−0.872545	+	0.422917i
$891$	−26.5660	−	11.8280i	−0.889995	−	0.396251i
$892$	3.09912	+	1.00696i	0.103766	+	0.0337157i
$893$	−16.3923	+	52.7694i	−0.548547	+	1.76586i
$894$	−1.13374	+	3.48930i	−0.0379180	+	0.116700i
$895$	−2.44563	−	5.04572i	−0.0817484	−	0.168660i
$896$	1.90592	−	2.11674i	0.0636723	−	0.0707153i
$897$	5.96587	−	28.0672i	0.199195	−	0.937137i
$898$	10.9179	+	1.14752i	0.364336	+	0.0382933i
$899$	−17.1673	+	29.7347i	−0.572562	+	0.991706i
$900$	0.751124	+	4.38578i	0.0250375	+	0.146193i
$901$	−5.55256			−0.184983
$902$	9.89581	+	22.2264i	0.329495	+	0.740057i
$903$	3.16046	−	14.8688i	0.105173	−	0.494802i
$904$	1.66449	+	5.12277i	0.0553601	+	0.170381i
$905$	37.1199	+	31.3031i	1.23391	+	1.04055i
$906$	−25.4671	−	28.2840i	−0.846086	−	0.939674i
$907$	−23.7969	+	13.7392i	−0.790164	+	0.456201i	−0.840020	−	0.542555i	$-0.817457\pi$
$907$	−23.7969	+	13.7392i	−0.790164	+	0.456201i	0.0498565	+	0.998756i	$0.484124\pi$
$908$	16.9921	−	15.2998i	0.563903	−	0.507741i
$909$	−4.79389	−	2.13438i	−0.159003	−	0.0707929i
$910$	−2.07646	−	15.0430i	−0.0688340	−	0.498669i
$911$	−6.23031	−	4.52658i	−0.206419	−	0.149972i	0.479773	−	0.877393i	$-0.340719\pi$
$911$	−6.23031	−	4.52658i	−0.206419	−	0.149972i	−0.686192	+	0.727420i	$0.740719\pi$
$912$	−2.76244	−	8.14110i	−0.0914734	−	0.269579i
$913$	17.7969	+	24.4954i	0.588993	+	0.810679i
$914$	−1.81973	+	17.3136i	−0.0601913	+	0.572682i
$915$	−44.4019	−	7.94182i	−1.46788	−	0.262549i
$916$	−0.408084	−	3.88266i	−0.0134835	−	0.128287i
$917$	−0.0907645	−	0.427013i	−0.00299731	−	0.0141012i
$918$	−1.68295	−	0.971650i	−0.0555455	−	0.0320692i
$919$	−10.5599	+	32.5001i	−0.348339	+	1.07208i	0.611433	+	0.791297i	$0.290594\pi$
$919$	−10.5599	+	32.5001i	−0.348339	+	1.07208i	−0.959772	+	0.280781i	$0.909406\pi$
$920$	−3.26835	−	13.2472i	−0.107754	−	0.436748i
$921$	3.49586	+	0.743068i	0.115192	+	0.0244849i
$922$	5.91522	−	27.8289i	0.194807	−	0.916496i
$923$	15.3407	−	21.1147i	0.504946	−	0.694999i
$924$	−15.0183			−0.494064
$925$	15.5224	+	12.2508i	0.510375	+	0.402804i
$926$	12.9007	+	22.3447i	0.423944	+	0.734293i
$927$	1.21120	+	2.72040i	0.0397810	+	0.0893496i
$928$	3.76488	+	3.38991i	0.123588	+	0.111279i
$929$	30.4137	−	33.7778i	0.997841	−	1.10821i	0.00371433	−	0.999993i	$-0.498818\pi$
$929$	30.4137	−	33.7778i	0.997841	−	1.10821i	0.994127	−	0.108222i	$-0.0345156\pi$
$930$	25.3861	−	15.7764i	0.832443	−	0.517328i
$931$	−4.83154	−	0.444543i	−0.158347	−	0.0145693i
$932$		−	12.4023i		−	0.406250i
$933$	−8.93025	−	42.0135i	−0.292363	−	1.37546i
$934$	1.95813	+	0.871816i	0.0640720	+	0.0285267i
$935$	−0.775987	+	2.68130i	−0.0253775	+	0.0876880i
$936$	0.221790	−	2.11019i	0.00724944	−	0.0689738i
$937$	19.0729	−	2.00464i	0.623084	−	0.0654888i	0.212275	−	0.977210i	$-0.431913\pi$
$937$	19.0729	−	2.00464i	0.623084	−	0.0654888i	0.410809	+	0.911721i	$0.365246\pi$
$938$	−16.4538	−	22.6467i	−0.537236	−	0.739441i
$939$	18.6935	+	13.5816i	0.610040	+	0.443220i
$940$	−7.88020	+	27.2288i	−0.257024	+	0.888105i
$941$	5.97697	+	56.8670i	0.194844	+	1.85381i	0.457864	+	0.889022i	$0.348615\pi$
$941$	5.97697	+	56.8670i	0.194844	+	1.85381i	−0.263020	+	0.964790i	$0.584719\pi$
$942$	−13.6266	−	4.42755i	−0.443979	−	0.144257i
$943$			55.5335i			1.80842i
$944$	−4.99070	−	5.54273i	−0.162433	−	0.180400i
$945$	−23.3729	−	12.5014i	−0.760320	−	0.406670i
$946$	7.07564	+	1.50397i	0.230049	+	0.0488984i
$947$	−22.5750	−	20.3266i	−0.733588	−	0.660526i	0.215153	−	0.976580i	$-0.430975\pi$
$947$	−22.5750	−	20.3266i	−0.733588	−	0.660526i	−0.948741	+	0.316055i	$0.897642\pi$
$948$	0.822938	+	0.0864942i	0.0267278	+	0.00280920i
$949$	7.58689			0.246281
$950$	−21.7285	+	1.69536i	−0.704964	+	0.0550049i
$951$	−16.0350			−0.519969
$952$	−1.32276	−	0.139027i	−0.0428708	−	0.00450590i
$953$	16.1964	+	14.5833i	0.524651	+	0.472398i	0.888381	−	0.459106i	$-0.151830\pi$
$953$	16.1964	+	14.5833i	0.524651	+	0.472398i	−0.363730	+	0.931504i	$0.618497\pi$
$954$	−10.3510	−	2.20017i	−0.335125	−	0.0712330i
$955$	−24.7786	+	23.8110i	−0.801817	+	0.770507i
$956$	18.7352	+	20.8076i	0.605940	+	0.672965i
$957$		−	26.7118i		−	0.863470i
$958$	13.7884	+	4.48011i	0.445482	+	0.144746i
$959$	6.11202	+	58.1520i	0.197367	+	1.87783i
$960$	−1.49818	−	4.14790i	−0.0483535	−	0.133873i
$961$	−12.0798	−	8.77645i	−0.389669	−	0.283111i
$962$	−5.54250	−	7.62860i	−0.178697	−	0.245956i
$963$	2.88526	−	0.303253i	0.0929762	−	0.00977220i
$964$	−2.76389	+	26.2967i	−0.0890190	+	0.846960i
$965$	21.7581	−	16.9133i	0.700417	−	0.544459i
$966$	−31.3160	−	13.9428i	−1.00758	−	0.448601i
$967$	5.64801	+	26.5718i	0.181628	+	0.854491i	0.970719	+	0.240216i	$0.0772183\pi$
$967$	5.64801	+	26.5718i	0.181628	+	0.854491i	−0.789092	+	0.614275i	$0.789448\pi$
$968$			3.85323i			0.123848i
$969$	−2.31728	+	3.27804i	−0.0744418	+	0.105306i
$970$	5.35675	+	4.51733i	0.171995	+	0.145043i
$971$	13.2057	−	14.6664i	0.423790	−	0.470666i	−0.493004	−	0.870027i	$-0.664101\pi$
$971$	13.2057	−	14.6664i	0.423790	−	0.470666i	0.916794	+	0.399361i	$0.130768\pi$
$972$	−6.66540	−	6.00155i	−0.213793	−	0.192500i
$973$	14.6510	+	32.9068i	0.469691	+	1.05494i
$974$	18.8987	+	32.7335i	0.605553	+	1.04885i
$975$	−22.0545	−	8.15016i	−0.706308	−	0.261014i
$976$	10.2278			0.327385
$977$	−19.8153	+	27.2734i	−0.633947	+	0.872553i	−0.998275	−	0.0587178i	$-0.981299\pi$
$977$	−19.8153	+	27.2734i	−0.633947	+	0.872553i	0.364328	+	0.931271i	$0.381299\pi$
$978$	−5.07479	+	23.8750i	−0.162274	+	0.763439i
$979$	−33.8281	−	7.19039i	−1.08115	−	0.229806i
$980$	−2.48250	−	0.179725i	−0.0793005	−	0.00574111i
$981$	2.22241	−	6.83987i	0.0709561	−	0.218380i
$982$	−1.54732	−	0.893347i	−0.0493770	−	0.0285078i
$983$	−10.2251	−	48.1054i	−0.326131	−	1.53432i	−0.769889	−	0.638178i	$-0.779688\pi$
$983$	−10.2251	−	48.1054i	−0.326131	−	1.53432i	0.443758	−	0.896147i	$-0.353645\pi$
$984$	1.87624	+	17.8512i	0.0598124	+	0.569077i
$985$	−4.22779	+	2.04918i	−0.134708	+	0.0652924i
$986$	0.247277	−	2.35268i	0.00787491	−	0.0749247i
$987$	41.8593	+	57.6144i	1.33240	+	1.83389i
$988$	10.1928	+	2.02875i	0.324276	+	0.0645432i
$989$	13.3578	+	9.70502i	0.424754	+	0.308602i
$990$	−2.50903	+	4.69095i	−0.0797421	+	0.149088i
$991$	−4.54320	−	2.02276i	−0.144319	−	0.0642551i	0.333306	−	0.942819i	$-0.391836\pi$
$991$	−4.54320	−	2.02276i	−0.144319	−	0.0642551i	−0.477625	+	0.878564i	$0.658502\pi$
$992$	−5.03649	+	4.53488i	−0.159909	+	0.143983i
$993$	20.4535	−	11.8088i	0.649073	−	0.374742i
$994$	−20.8631	−	23.1708i	−0.661738	−	0.734934i
$995$	1.91770	−	4.71309i	0.0607952	−	0.149415i
$996$	6.90280	+	21.2446i	0.218724	+	0.673162i
$997$	7.50344	−	35.3009i	0.237636	−	1.11799i	−0.683863	−	0.729610i	$-0.739701\pi$
$997$	7.50344	−	35.3009i	0.237636	−	1.11799i	0.921499	−	0.388380i	$-0.126965\pi$
$998$	5.17375	+	11.6204i	0.163772	+	0.367839i
$999$	−16.4590			−0.520738

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	950.2.x.a.159.5	✓	400
19.11	even	3	inner	950.2.x.a.809.30	yes	400
25.14	even	10	inner	950.2.x.a.539.30	yes	400
475.239	even	30	inner	950.2.x.a.239.5	yes	400

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
950.2.x.a.159.5	✓	400	1.1	even	1	trivial
950.2.x.a.239.5	yes	400	475.239	even	30	inner
950.2.x.a.539.30	yes	400	25.14	even	10	inner
950.2.x.a.809.30	yes	400	19.11	even	3	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:	\( N \)	\(=\)	\( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	950.x (of order \(30\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.46570 - 1.31972i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.21506 - 0.305758i) q^{5} +(1.31972 + 1.46570i) q^{6} +2.84835i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.0930228 + 0.885053i) q^{9} +O(q^{10})\)	\(q+(-0.994522 - 0.104528i) q^{2} +(-1.46570 - 1.31972i) q^{3} +(0.978148 + 0.207912i) q^{4} +(2.21506 - 0.305758i) q^{5} +(1.31972 + 1.46570i) q^{6} +2.84835i q^{7} +(-0.951057 - 0.309017i) q^{8} +(0.0930228 + 0.885053i) q^{9} +(-2.23489 + 0.0725453i) q^{10} +(-2.16278 - 1.57135i) q^{11} +(-1.15928 - 1.59562i) q^{12} +(2.37119 - 0.249223i) q^{13} +(0.297734 - 2.83275i) q^{14} +(-3.65013 - 2.47512i) q^{15} +(0.913545 + 0.406737i) q^{16} +(-0.0970847 - 0.456747i) q^{17} -0.889928i q^{18} +(4.34056 + 0.399370i) q^{19} +(2.23023 + 0.161462i) q^{20} +(3.75903 - 4.17482i) q^{21} +(1.98668 + 1.78882i) q^{22} +(2.48190 + 5.57444i) q^{23} +(0.986145 + 1.70805i) q^{24} +(4.81302 - 1.35455i) q^{25} -2.38426 q^{26} +(-2.44617 + 3.36687i) q^{27} +(-0.592206 + 2.78611i) q^{28} +(-4.95544 - 1.05331i) q^{29} +(3.37141 + 2.84310i) q^{30} +(2.09429 - 6.44557i) q^{31} +(-0.866025 - 0.500000i) q^{32} +(1.09624 + 5.15739i) q^{33} +(0.0488097 + 0.464393i) q^{34} +(0.870906 + 6.30929i) q^{35} +(-0.0930228 + 0.885053i) q^{36} +(2.32462 + 3.19957i) q^{37} +(-4.27504 - 0.850895i) q^{38} +(-3.80436 - 2.76403i) q^{39} +(-2.20114 - 0.393700i) q^{40} +(8.31407 + 3.70166i) q^{41} +(-4.17482 + 3.75903i) q^{42} +(2.34335 - 1.35293i) q^{43} +(-1.78882 - 1.98668i) q^{44} +(0.476663 + 1.93201i) q^{45} +(-1.88562 - 5.80334i) q^{46} +(-2.63565 + 12.3998i) q^{47} +(-0.802203 - 1.80178i) q^{48} -1.11311 q^{49} +(-4.92825 + 0.844028i) q^{50} +(-0.460482 + 0.797578i) q^{51} +(2.37119 + 0.249223i) q^{52} +(2.47230 - 11.6312i) q^{53} +(2.78470 - 3.09273i) q^{54} +(-5.27115 - 2.81936i) q^{55} +(0.880189 - 2.70894i) q^{56} +(-5.83490 - 6.31368i) q^{57} +(4.81819 + 1.56552i) q^{58} +(-6.81366 - 3.03364i) q^{59} +(-3.05576 - 3.17993i) q^{60} +(9.34360 - 4.16004i) q^{61} +(-2.75656 + 6.19134i) q^{62} +(-2.52094 + 0.264962i) q^{63} +(0.809017 + 0.587785i) q^{64} +(5.17615 - 1.27706i) q^{65} +(-0.551138 - 5.24373i) q^{66} +(7.30344 - 6.57604i) q^{67} -0.466951i q^{68} +(3.71899 - 11.4459i) q^{69} +(-0.206635 - 6.36576i) q^{70} +(7.32462 - 8.13482i) q^{71} +(0.185026 - 0.870481i) q^{72} +(3.16465 + 0.332618i) q^{73} +(-1.97744 - 3.42503i) q^{74} +(-8.84206 - 4.36649i) q^{75} +(4.16268 + 1.29310i) q^{76} +(4.47576 - 6.16036i) q^{77} +(3.49460 + 3.14655i) q^{78} +(-0.280733 + 0.311785i) q^{79} +(2.14793 + 0.621625i) q^{80} +(10.6401 - 2.26162i) q^{81} +(-7.88159 - 4.55044i) q^{82} +(-10.7716 - 3.49989i) q^{83} +(4.54488 - 3.30205i) q^{84} +(-0.354703 - 0.982041i) q^{85} +(-2.47193 + 1.10058i) q^{86} +(5.87309 + 8.08362i) q^{87} +(1.57135 + 2.16278i) q^{88} +(11.8181 - 5.26177i) q^{89} +(-0.272102 - 1.97125i) q^{90} +(0.709874 + 6.75400i) q^{91} +(1.26867 + 5.96865i) q^{92} +(-11.5759 + 6.68337i) q^{93} +(3.91734 - 12.0563i) q^{94} +(9.73674 - 0.442531i) q^{95} +(0.609471 + 1.87576i) q^{96} +(-2.32881 - 2.09687i) q^{97} +(1.10701 + 0.116352i) q^{98} +(1.18954 - 2.06035i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9}+O(q^{10}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9	\( 400 q - 50 q^{4} + 2 q^{5} - 50 q^{9} - 12 q^{11} + 8 q^{14} - 18 q^{15} + 50 q^{16} - 10 q^{17} - 12 q^{19} + 4 q^{20} - 32 q^{21} + 20 q^{22} + 30 q^{23} - 14 q^{25} + 60 q^{27} + 24 q^{29} - 52 q^{30} + 20 q^{33} + 8 q^{34} - 8 q^{35} + 50 q^{36} - 24 q^{39} - 16 q^{41} + 4 q^{44} - 144 q^{45} - 32 q^{46} + 120 q^{47} - 440 q^{49} - 40 q^{50} + 52 q^{51} + 40 q^{53} - 12 q^{54} - 88 q^{55} + 16 q^{56} + 48 q^{59} - 2 q^{60} - 28 q^{61} + 10 q^{63} + 100 q^{64} + 152 q^{65} + 16 q^{66} - 80 q^{67} - 16 q^{69} + 8 q^{70} - 14 q^{71} + 80 q^{73} - 104 q^{75} - 8 q^{76} - 80 q^{77} + 60 q^{78} - 8 q^{79} + 2 q^{80} + 106 q^{81} + 80 q^{83} + 56 q^{84} + 78 q^{85} - 20 q^{86} + 80 q^{87} + 12 q^{89} + 78 q^{90} - 8 q^{91} - 20 q^{92} + 4 q^{95} - 30 q^{97} - 40 q^{98} - 12 q^{99}+O(q^{100}) \) 400 * q - 50 * q^4 + 2 * q^5 - 50 * q^9 - 12 * q^11 + 8 * q^14 - 18 * q^15 + 50 * q^16 - 10 * q^17 - 12 * q^19 + 4 * q^20 - 32 * q^21 + 20 * q^22 + 30 * q^23 - 14 * q^25 + 60 * q^27 + 24 * q^29 - 52 * q^30 + 20 * q^33 + 8 * q^34 - 8 * q^35 + 50 * q^36 - 24 * q^39 - 16 * q^41 + 4 * q^44 - 144 * q^45 - 32 * q^46 + 120 * q^47 - 440 * q^49 - 40 * q^50 + 52 * q^51 + 40 * q^53 - 12 * q^54 - 88 * q^55 + 16 * q^56 + 48 * q^59 - 2 * q^60 - 28 * q^61 + 10 * q^63 + 100 * q^64 + 152 * q^65 + 16 * q^66 - 80 * q^67 - 16 * q^69 + 8 * q^70 - 14 * q^71 + 80 * q^73 - 104 * q^75 - 8 * q^76 - 80 * q^77 + 60 * q^78 - 8 * q^79 + 2 * q^80 + 106 * q^81 + 80 * q^83 + 56 * q^84 + 78 * q^85 - 20 * q^86 + 80 * q^87 + 12 * q^89 + 78 * q^90 - 8 * q^91 - 20 * q^92 + 4 * q^95 - 30 * q^97 - 40 * q^98 - 12 * q^99

Introduction

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