LMFDB - Embedded newform 462.2.w.b.239.11

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [462,2,Mod(29,462)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(462, base_ring=CyclotomicField(10))

chi = DirichletCharacter(H, H._module([5, 0, 7]))

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

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

chi := DirichletCharacter("462.29");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 462 = 2 \cdot 3 \cdot 7 \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	462.w (of order $10$, 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:	$3.68908857338$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$12$ over $\Q(\zeta_{10})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label			239.11
Character	$\chi$	$=$	462.239
Dual form			462.2.w.b.29.11

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.809017 - 0.587785i) q^{2} +(1.60909 - 0.640962i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.354145 + 0.487439i) q^{5} +(0.925033 - 1.46435i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.17834 - 2.06273i) q^{9} +O(q^{10})$	\(q+(0.809017 - 0.587785i) q^{2} +(1.60909 - 0.640962i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.354145 + 0.487439i) q^{5} +(0.925033 - 1.46435i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.17834 - 2.06273i) q^{9} +0.602508i q^{10} +(3.17326 - 0.964582i) q^{11} +(-0.112355 - 1.72840i) q^{12} +(0.688354 + 0.947438i) q^{13} +(-0.951057 + 0.309017i) q^{14} +(-0.257421 + 1.01133i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-4.38403 - 3.18519i) q^{17} +(0.549869 - 2.94918i) q^{18} +(3.55100 - 1.15379i) q^{19} +(0.354145 + 0.487439i) q^{20} +(-1.72840 + 0.112355i) q^{21} +(2.00025 - 2.64556i) q^{22} +2.43328i q^{23} +(-1.10683 - 1.33227i) q^{24} +(1.43291 + 4.41003i) q^{25} +(1.11378 + 0.361889i) q^{26} +(2.18301 - 4.71535i) q^{27} +(-0.587785 + 0.809017i) q^{28} +(2.42417 - 7.46084i) q^{29} +(0.386184 + 0.969488i) q^{30} +(-8.43785 + 6.13045i) q^{31} -1.00000 q^{32} +(4.48780 - 3.58604i) q^{33} -5.41896 q^{34} +(0.487439 - 0.354145i) q^{35} +(-1.28863 - 2.70914i) q^{36} +(-3.74137 + 11.5148i) q^{37} +(2.19464 - 3.02066i) q^{38} +(1.71489 + 1.08330i) q^{39} +(0.573019 + 0.186185i) q^{40} +(2.34591 + 7.21998i) q^{41} +(-1.33227 + 1.10683i) q^{42} +5.23156i q^{43} +(0.0632196 - 3.31602i) q^{44} +(0.234008 + 1.79231i) q^{45} +(1.43025 + 1.96856i) q^{46} +(-9.20432 + 2.99067i) q^{47} +(-1.67853 - 0.427250i) q^{48} +(0.809017 + 0.587785i) q^{49} +(3.75140 + 2.72555i) q^{50} +(-9.09588 - 2.31525i) q^{51} +(1.11378 - 0.361889i) q^{52} +(-5.24272 - 7.21598i) q^{53} +(-1.00552 - 5.09793i) q^{54} +(-0.653620 + 1.88837i) q^{55} +1.00000i q^{56} +(4.97434 - 4.13260i) q^{57} +(-2.42417 - 7.46084i) q^{58} +(6.10721 + 1.98435i) q^{59} +(0.882281 + 0.557339i) q^{60} +(4.20261 - 5.78440i) q^{61} +(-3.22297 + 9.91928i) q^{62} +(-2.70914 + 1.28863i) q^{63} +(-0.809017 + 0.587785i) q^{64} -0.705595 q^{65} +(1.52289 - 5.53903i) q^{66} +3.61326 q^{67} +(-4.38403 + 3.18519i) q^{68} +(1.55964 + 3.91536i) q^{69} +(0.186185 - 0.573019i) q^{70} +(2.83558 - 3.90284i) q^{71} +(-2.63492 - 1.43430i) q^{72} +(1.39884 + 0.454511i) q^{73} +(3.74137 + 11.5148i) q^{74} +(5.13234 + 6.17770i) q^{75} -3.73374i q^{76} +(-3.31602 - 0.0632196i) q^{77} +(2.02413 - 0.131579i) q^{78} +(6.11887 + 8.42190i) q^{79} +(0.573019 - 0.186185i) q^{80} +(0.490294 - 8.98664i) q^{81} +(6.14168 + 4.46220i) q^{82} +(-10.7427 - 7.80506i) q^{83} +(-0.427250 + 1.67853i) q^{84} +(3.10517 - 1.00893i) q^{85} +(3.07503 + 4.23242i) q^{86} +(-0.881402 - 13.5590i) q^{87} +(-1.89796 - 2.71988i) q^{88} +10.9586i q^{89} +(1.24281 + 1.31246i) q^{90} +(-0.361889 - 1.11378i) q^{91} +(2.31419 + 0.751925i) q^{92} +(-9.64786 + 15.2728i) q^{93} +(-5.68858 + 7.82966i) q^{94} +(-0.695166 + 2.13950i) q^{95} +(-1.60909 + 0.640962i) q^{96} +(-4.11251 + 2.98791i) q^{97} +1.00000 q^{98} +(4.92276 - 8.64676i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	$ 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) $ 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/462\mathbb{Z}\right)^\times$.

$n$	$155$	$199$	$211$
$\chi(n)$	$-1$	$1$	$e\left(\frac{3}{10}\right)$

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 $

$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$2$	0.809017	−	0.587785i	0.572061	−	0.415627i
$3$	1.60909	−	0.640962i	0.929008	−	0.370060i
$3$	1.60909	−	0.640962i	0.929008	−	0.370060i
$4$	0.309017	−	0.951057i	0.154508	−	0.475528i
$5$	−0.354145	+	0.487439i	−0.158378	+	0.217989i	−0.880830	−	0.473432i	$-0.843015\pi$
$5$	−0.354145	+	0.487439i	−0.158378	+	0.217989i	0.722452	+	0.691421i	$0.243015\pi$
$6$	0.925033	−	1.46435i	0.377643	−	0.597818i
$7$	−0.951057	−	0.309017i	−0.359466	−	0.116797i
$7$	−0.951057	−	0.309017i	−0.359466	−	0.116797i
$8$	−0.309017	−	0.951057i	−0.109254	−	0.336249i
$9$	2.17834	−	2.06273i	0.726112	−	0.687577i
$10$			0.602508i			0.190530i
$11$	3.17326	−	0.964582i	0.956774	−	0.290832i
$11$	3.17326	−	0.964582i	0.956774	−	0.290832i
$12$	−0.112355	−	1.72840i	−0.0324341	−	0.498947i
$13$	0.688354	+	0.947438i	0.190915	+	0.262772i	0.893735	−	0.448596i	$-0.148076\pi$
$13$	0.688354	+	0.947438i	0.190915	+	0.262772i	−0.702820	+	0.711368i	$0.748076\pi$
$14$	−0.951057	+	0.309017i	−0.254181	+	0.0825883i
$15$	−0.257421	+	1.01133i	−0.0664659	+	0.261123i
$16$	−0.809017	−	0.587785i	−0.202254	−	0.146946i
$17$	−4.38403	−	3.18519i	−1.06328	−	0.772521i	−0.0885911	−	0.996068i	$-0.528236\pi$
$17$	−4.38403	−	3.18519i	−1.06328	−	0.772521i	−0.974693	+	0.223547i	$0.928236\pi$
$18$	0.549869	−	2.94918i	0.129605	−	0.695128i
$19$	3.55100	−	1.15379i	0.814654	−	0.264697i	0.128087	−	0.991763i	$-0.459116\pi$
$19$	3.55100	−	1.15379i	0.814654	−	0.264697i	0.686568	+	0.727066i	$0.259116\pi$
$20$	0.354145	+	0.487439i	0.0791892	+	0.108995i
$21$	−1.72840	+	0.112355i	−0.377168	+	0.0245179i
$22$	2.00025	−	2.64556i	0.426456	−	0.564035i
$23$			2.43328i			0.507374i	0.967286	+	0.253687i	$0.0816433\pi$
$23$			2.43328i			0.507374i	−0.967286	+	0.253687i	$0.918357\pi$
$24$	−1.10683	−	1.33227i	−0.225930	−	0.271948i
$25$	1.43291	+	4.41003i	0.286581	+	0.882007i
$26$	1.11378	+	0.361889i	0.218430	+	0.0709723i
$27$	2.18301	−	4.71535i	0.420120	−	0.907469i
$28$	−0.587785	+	0.809017i	−0.111081	+	0.152890i
$29$	2.42417	−	7.46084i	0.450158	−	1.38544i	−0.426569	−	0.904455i	$-0.640278\pi$
$29$	2.42417	−	7.46084i	0.450158	−	1.38544i	0.876727	−	0.480988i	$-0.159722\pi$
$30$	0.386184	+	0.969488i	0.0705073	+	0.177004i
$31$	−8.43785	+	6.13045i	−1.51548	+	1.10106i	−0.551811	+	0.833969i	$0.686063\pi$
$31$	−8.43785	+	6.13045i	−1.51548	+	1.10106i	−0.963671	+	0.267093i	$0.913937\pi$
$32$	−1.00000			−0.176777
$33$	4.48780	−	3.58604i	0.781225	−	0.624249i
$34$	−5.41896			−0.929345
$35$	0.487439	−	0.354145i	0.0823922	−	0.0598614i
$36$	−1.28863	−	2.70914i	−0.214772	−	0.451523i
$37$	−3.74137	+	11.5148i	−0.615078	+	1.89301i	−0.214629	+	0.976696i	$0.568854\pi$
$37$	−3.74137	+	11.5148i	−0.615078	+	1.89301i	−0.400449	+	0.916319i	$0.631146\pi$
$38$	2.19464	−	3.02066i	0.356017	−	0.490015i
$39$	1.71489	+	1.08330i	0.274603	+	0.173467i
$40$	0.573019	+	0.186185i	0.0906022	+	0.0294384i
$41$	2.34591	+	7.21998i	0.366370	+	1.12757i	0.949118	+	0.314919i	$0.101977\pi$
$41$	2.34591	+	7.21998i	0.366370	+	1.12757i	−0.582748	+	0.812653i	$0.698023\pi$
$42$	−1.33227	+	1.10683i	−0.205573	+	0.170787i
$43$			5.23156i			0.797805i	0.916993	+	0.398903i	$0.130609\pi$
$43$			5.23156i			0.797805i	−0.916993	+	0.398903i	$0.869391\pi$
$44$	0.0632196	−	3.31602i	0.00953071	−	0.499909i
$45$	0.234008	+	1.79231i	0.0348838	+	0.267182i
$46$	1.43025	+	1.96856i	0.210878	+	0.290249i
$47$	−9.20432	+	2.99067i	−1.34259	+	0.436233i	−0.890193	−	0.455584i	$-0.849430\pi$
$47$	−9.20432	+	2.99067i	−1.34259	+	0.436233i	−0.452395	+	0.891817i	$0.649430\pi$
$48$	−1.67853	−	0.427250i	−0.242275	−	0.0616682i
$49$	0.809017	+	0.587785i	0.115574	+	0.0839693i
$50$	3.75140	+	2.72555i	0.530528	+	0.385451i
$51$	−9.09588	−	2.31525i	−1.27368	−	0.324200i
$52$	1.11378	−	0.361889i	0.154454	−	0.0501850i
$53$	−5.24272	−	7.21598i	−0.720143	−	0.991192i	−0.999519	−	0.0310098i	$-0.990128\pi$
$53$	−5.24272	−	7.21598i	−0.720143	−	0.991192i	0.279376	−	0.960182i	$-0.409872\pi$
$54$	−1.00552	−	5.09793i	−0.136834	−	0.693741i
$55$	−0.653620	+	1.88837i	−0.0881341	+	0.254628i
$56$			1.00000i			0.133631i
$57$	4.97434	−	4.13260i	0.658867	−	0.547377i
$58$	−2.42417	−	7.46084i	−0.318310	−	0.979656i
$59$	6.10721	+	1.98435i	0.795091	+	0.258341i	0.678270	−	0.734812i	$-0.262730\pi$
$59$	6.10721	+	1.98435i	0.795091	+	0.258341i	0.116820	+	0.993153i	$0.462730\pi$
$60$	0.882281	+	0.557339i	0.113902	+	0.0719522i
$61$	4.20261	−	5.78440i	0.538089	−	0.740616i	−0.450247	−	0.892904i	$-0.648664\pi$
$61$	4.20261	−	5.78440i	0.538089	−	0.740616i	0.988336	+	0.152288i	$0.0486641\pi$
$62$	−3.22297	+	9.91928i	−0.409318	+	1.25975i
$63$	−2.70914	+	1.28863i	−0.341319	+	0.162352i
$64$	−0.809017	+	0.587785i	−0.101127	+	0.0734732i
$65$	−0.705595			−0.0875183
$66$	1.52289	−	5.53903i	0.187454	−	0.681807i
$67$	3.61326			0.441430			0.220715	−	0.975338i	$-0.429161\pi$
$67$	3.61326			0.441430			0.220715	+	0.975338i	$0.429161\pi$
$68$	−4.38403	+	3.18519i	−0.531642	+	0.386261i
$69$	1.55964	+	3.91536i	0.187759	+	0.471354i
$70$	0.186185	−	0.573019i	0.0222534	−	0.0684888i
$71$	2.83558	−	3.90284i	0.336521	−	0.463182i	−0.606900	−	0.794778i	$-0.707587\pi$
$71$	2.83558	−	3.90284i	0.336521	−	0.463182i	0.943421	+	0.331596i	$0.107587\pi$
$72$	−2.63492	−	1.43430i	−0.310528	−	0.169034i
$73$	1.39884	+	0.454511i	0.163722	+	0.0531965i	0.389731	−	0.920929i	$-0.372568\pi$
$73$	1.39884	+	0.454511i	0.163722	+	0.0531965i	−0.226009	+	0.974125i	$0.572568\pi$
$74$	3.74137	+	11.5148i	0.434926	+	1.33856i
$75$	5.13234	+	6.17770i	0.592631	+	0.713339i
$76$		−	3.73374i		−	0.428289i
$77$	−3.31602	−	0.0632196i	−0.377896	−	0.00720454i
$78$	2.02413	−	0.131579i	0.229187	−	0.0148984i
$79$	6.11887	+	8.42190i	0.688426	+	0.947537i	0.999996	−	0.00268574i	$-0.000854899\pi$
$79$	6.11887	+	8.42190i	0.688426	+	0.947537i	−0.311570	+	0.950223i	$0.600855\pi$
$80$	0.573019	−	0.186185i	0.0640654	−	0.0208161i
$81$	0.490294	−	8.98664i	0.0544771	−	0.998515i
$82$	6.14168	+	4.46220i	0.678236	+	0.492767i
$83$	−10.7427	−	7.80506i	−1.17917	−	0.856716i	−0.187091	−	0.982343i	$-0.559906\pi$
$83$	−10.7427	−	7.80506i	−1.17917	−	0.856716i	−0.992078	+	0.125626i	$0.959906\pi$
$84$	−0.427250	+	1.67853i	−0.0466168	+	0.183142i
$85$	3.10517	−	1.00893i	0.336803	−	0.109434i
$86$	3.07503	+	4.23242i	0.331589	+	0.456394i
$87$	−0.881402	−	13.5590i	−0.0944962	−	1.45367i
$88$	−1.89796	−	2.71988i	−0.202324	−	0.289940i
$89$			10.9586i			1.16161i	0.814042	+	0.580806i	$0.197263\pi$
$89$			10.9586i			1.16161i	−0.814042	+	0.580806i	$0.802737\pi$
$90$	1.24281	+	1.31246i	0.131004	+	0.138346i
$91$	−0.361889	−	1.11378i	−0.0379363	−	0.116756i
$92$	2.31419	+	0.751925i	0.241271	+	0.0783936i
$93$	−9.64786	+	15.2728i	−1.00044	+	1.58371i
$94$	−5.68858	+	7.82966i	−0.586733	+	0.807568i
$95$	−0.695166	+	2.13950i	−0.0713226	+	0.219508i
$96$	−1.60909	+	0.640962i	−0.164227	+	0.0654179i
$97$	−4.11251	+	2.98791i	−0.417562	+	0.303377i	−0.776656	−	0.629925i	$-0.783086\pi$
$97$	−4.11251	+	2.98791i	−0.417562	+	0.303377i	0.359094	+	0.933301i	$0.383086\pi$
$98$	1.00000			0.101015
$99$	4.92276	−	8.64676i	0.494756	−	0.869032i
$100$	4.63698			0.463698
$101$	0.553025	−	0.401796i	0.0550280	−	0.0399802i	−0.559931	−	0.828539i	$-0.689172\pi$
$101$	0.553025	−	0.401796i	0.0550280	−	0.0399802i	0.614959	+	0.788559i	$0.289172\pi$
$102$	−8.71960	+	3.47335i	−0.863369	+	0.343913i
$103$	−0.189122	+	0.582059i	−0.0186348	+	0.0573519i	−0.959941	−	0.280201i	$-0.909599\pi$
$103$	−0.189122	+	0.582059i	−0.0186348	+	0.0573519i	0.941307	+	0.337552i	$0.109599\pi$
$104$	0.688354	−	0.947438i	0.0674987	−	0.0929039i
$105$	0.557339	−	0.882281i	0.0543907	−	0.0861018i
$106$	−8.48290	−	2.75626i	−0.823932	−	0.267712i
$107$	0.677952	+	2.08652i	0.0655401	+	0.201712i	0.978464	−	0.206419i	$-0.0661809\pi$
$107$	0.677952	+	2.08652i	0.0655401	+	0.201712i	−0.912924	+	0.408130i	$0.866181\pi$
$108$	−3.80997	−	3.53328i	−0.366615	−	0.339990i
$109$		−	11.1264i		−	1.06572i	−0.846204	−	0.532859i	$-0.821117\pi$
$109$		−	11.1264i		−	1.06572i	0.846204	−	0.532859i	$-0.178883\pi$
$110$	0.581168	+	1.91191i	0.0554122	+	0.182294i
$111$	1.36032	+	20.9264i	0.129116	+	1.98624i
$112$	0.587785	+	0.809017i	0.0555405	+	0.0764449i
$113$	3.74129	−	1.21562i	0.351951	−	0.114356i	−0.127705	−	0.991812i	$-0.540761\pi$
$113$	3.74129	−	1.21562i	0.351951	−	0.114356i	0.479657	+	0.877456i	$0.340761\pi$
$114$	1.59524	−	6.26719i	0.149408	−	0.586976i
$115$	−1.18607	−	0.861734i	−0.110602	−	0.0803571i
$116$	−6.34657	−	4.61105i	−0.589264	−	0.428126i
$117$	3.45377	+	0.643950i	0.319302	+	0.0595332i
$118$	6.10721	−	1.98435i	0.562214	−	0.182674i
$119$	3.18519	+	4.38403i	0.291986	+	0.401884i
$120$	1.04138	−	0.0676948i	0.0950642	−	0.00617966i
$121$	9.13916	−	6.12174i	0.830833	−	0.556522i
$122$		−	7.14991i		−	0.647322i
$123$	8.40252	+	10.1140i	0.757630	+	0.911945i
$124$	3.22297	+	9.91928i	0.289431	+	0.890778i
$125$	−5.52217	−	1.79426i	−0.493918	−	0.160484i
$126$	−1.43430	+	2.63492i	−0.127778	+	0.234737i
$127$	3.62992	−	4.99616i	0.322104	−	0.443338i	−0.617004	−	0.786960i	$-0.711654\pi$
$127$	3.62992	−	4.99616i	0.322104	−	0.443338i	0.939108	+	0.343622i	$0.111654\pi$
$128$	−0.309017	+	0.951057i	−0.0273135	+	0.0840623i
$129$	3.35323	+	8.41804i	0.295235	+	0.741167i
$130$	−0.570838	+	0.414738i	−0.0500658	+	0.0363750i
$131$	−13.3380			−1.16535			−0.582673	−	0.812706i	$-0.697993\pi$
$131$	−13.3380			−1.16535			−0.582673	+	0.812706i	$0.697993\pi$
$132$	−2.02372	−	5.37630i	−0.176142	−	0.467947i
$133$	−3.73374			−0.323756
$134$	2.92319	−	2.12382i	0.252525	−	0.183470i
$135$	1.52534	+	2.73400i	0.131281	+	0.235305i
$136$	−1.67455	+	5.15374i	−0.143592	+	0.441930i
$137$	7.20300	−	9.91408i	0.615394	−	0.847017i	−0.381613	−	0.924322i	$-0.624631\pi$
$137$	7.20300	−	9.91408i	0.615394	−	0.847017i	0.997008	+	0.0773048i	$0.0246315\pi$
$138$	3.56317	+	2.25086i	0.303317	+	0.191606i
$139$	−18.7273	−	6.08488i	−1.58843	−	0.516112i	−0.624220	−	0.781249i	$-0.714583\pi$
$139$	−18.7273	−	6.08488i	−1.58843	−	0.516112i	−0.964211	+	0.265136i	$0.914583\pi$
$140$	−0.186185	−	0.573019i	−0.0157355	−	0.0484289i
$141$	−12.8937	+	10.7119i	−1.08584	+	0.902102i
$142$		−	4.82418i		−	0.404836i
$143$	3.09821	+	2.34249i	0.259085	+	0.195889i
$144$	−2.97475	+	0.388390i	−0.247896	+	0.0323658i
$145$	2.77819	+	3.82386i	0.230717	+	0.317554i
$146$	1.39884	−	0.454511i	0.115769	−	0.0376156i
$147$	1.67853	+	0.427250i	0.138443	+	0.0352390i
$148$	9.79504	+	7.11651i	0.805147	+	0.584974i
$149$	4.89769	+	3.55838i	0.401234	+	0.291514i	0.770044	−	0.637991i	$-0.220234\pi$
$149$	4.89769	+	3.55838i	0.401234	+	0.291514i	−0.368809	+	0.929505i	$0.620234\pi$
$150$	7.78331	+	1.98115i	0.635505	+	0.161760i
$151$	−7.03317	+	2.28521i	−0.572351	+	0.185968i	−0.580871	−	0.813996i	$-0.697288\pi$
$151$	−7.03317	+	2.28521i	−0.572351	+	0.185968i	0.00852009	+	0.999964i	$0.497288\pi$
$152$	−2.19464	−	3.02066i	−0.178009	−	0.245008i
$153$	−16.1201	+	2.10467i	−1.30323	+	0.170152i
$154$	−2.71988	+	1.89796i	−0.219174	+	0.152942i
$155$		−	6.28400i		−	0.504743i
$156$	1.56021	−	1.29620i	0.124917	−	0.103779i
$157$	2.37179	+	7.29961i	0.189289	+	0.582572i	0.999996	−	0.00288045i	$-0.000916877\pi$
$157$	2.37179	+	7.29961i	0.189289	+	0.582572i	−0.810707	+	0.585452i	$0.800917\pi$
$158$	9.90053	+	3.21688i	0.787644	+	0.255921i
$159$	−13.0612	−	8.25078i	−1.03582	−	0.654329i
$160$	0.354145	−	0.487439i	0.0279976	−	0.0385354i
$161$	0.751925	−	2.31419i	0.0592600	−	0.182383i
$162$	−4.88556	−	7.55853i	−0.383846	−	0.593854i
$163$	−12.6907	+	9.22030i	−0.994009	+	0.722190i	−0.960795	−	0.277258i	$-0.910574\pi$
$163$	−12.6907	+	9.22030i	−0.994009	+	0.722190i	−0.0332138	+	0.999448i	$0.510574\pi$
$164$	7.59154			0.592800
$165$	0.158642	+	3.45750i	0.0123503	+	0.269166i
$166$	−13.2788			−1.03063
$167$	−6.23843	+	4.53249i	−0.482744	+	0.350734i	−0.802387	−	0.596804i	$-0.796437\pi$
$167$	−6.23843	+	4.53249i	−0.482744	+	0.350734i	0.319643	+	0.947538i	$0.396437\pi$
$168$	0.640962	+	1.60909i	0.0494513	+	0.124144i
$169$	3.59341	−	11.0594i	0.276416	−	0.850722i
$170$	1.91910	−	2.64141i	0.147188	−	0.202587i
$171$	5.35531	−	9.83808i	0.409531	−	0.752337i
$172$	4.97551	+	1.61664i	0.379379	+	0.123268i
$173$	3.15579	+	9.71251i	0.239930	+	0.738428i	0.996429	+	0.0844338i	$0.0269081\pi$
$173$	3.15579	+	9.71251i	0.239930	+	0.738428i	−0.756499	+	0.653995i	$0.773092\pi$
$174$	−8.68283	−	10.4514i	−0.658243	−	0.792315i
$175$		−	4.63698i		−	0.350523i
$176$	−3.13419	−	1.08483i	−0.236248	−	0.0817723i
$177$	11.0989	−	0.721488i	0.834247	−	0.0542304i
$178$	6.44132	+	8.86572i	0.482797	+	0.664513i
$179$	21.7236	−	7.05844i	1.62370	−	0.527572i	0.650889	−	0.759173i	$-0.274396\pi$
$179$	21.7236	−	7.05844i	1.62370	−	0.527572i	0.972811	+	0.231600i	$0.0743961\pi$
$180$	1.77690	+	0.331300i	0.132442	+	0.0246936i
$181$	16.6131	+	12.0701i	1.23484	+	0.897165i	0.997243	−	0.0741985i	$-0.0236399\pi$
$181$	16.6131	+	12.0701i	1.23484	+	0.897165i	0.237598	+	0.971364i	$0.423640\pi$
$182$	−0.947438	−	0.688354i	−0.0702288	−	0.0510242i
$183$	3.05480	−	12.0013i	0.225817	−	0.887163i
$184$	2.31419	−	0.751925i	0.170604	−	0.0554326i
$185$	−4.28775	−	5.90159i	−0.315242	−	0.433893i
$186$	1.17184	+	18.0268i	0.0859231	+	1.32179i
$187$	−16.9841	−	5.87867i	−1.24200	−	0.429891i
$188$			9.67800i			0.705840i
$189$	−3.53328	+	3.80997i	−0.257009	+	0.277135i
$190$	0.695166	+	2.13950i	0.0504327	+	0.155216i
$191$	−20.9300	−	6.80056i	−1.51444	−	0.492071i	−0.570249	−	0.821472i	$-0.693153\pi$
$191$	−20.9300	−	6.80056i	−1.51444	−	0.492071i	−0.944190	+	0.329401i	$0.893153\pi$
$192$	−0.925033	+	1.46435i	−0.0667585	+	0.105680i
$193$	10.5571	−	14.5306i	0.759919	−	1.04594i	−0.237302	−	0.971436i	$-0.576263\pi$
$193$	10.5571	−	14.5306i	0.759919	−	1.04594i	0.997221	−	0.0745029i	$-0.0237370\pi$
$194$	−1.57084	+	4.83455i	−0.112780	+	0.347100i
$195$	−1.13537	+	0.452260i	−0.0813052	+	0.0323870i
$196$	0.809017	−	0.587785i	0.0577869	−	0.0419847i
$197$	18.8447			1.34263			0.671315	−	0.741172i	$-0.265730\pi$
$197$	18.8447			1.34263			0.671315	+	0.741172i	$0.265730\pi$
$198$	−1.09985	−	9.88890i	−0.0781626	−	0.702774i
$199$	−6.69603			−0.474669			−0.237335	−	0.971428i	$-0.576274\pi$
$199$	−6.69603			−0.474669			−0.237335	+	0.971428i	$0.576274\pi$
$200$	3.75140	−	2.72555i	0.265264	−	0.192726i
$201$	5.81406	−	2.31596i	0.410092	−	0.163355i
$202$	0.211237	−	0.650120i	0.0148626	−	0.0457423i
$203$	−4.61105	+	6.34657i	−0.323633	+	0.445442i
$204$	−5.01272	+	7.93525i	−0.350960	+	0.555578i
$205$	−4.35009	−	1.41343i	−0.303824	−	0.0987183i
$206$	0.189122	+	0.582059i	0.0131768	+	0.0405539i
$207$	5.01920	+	5.30050i	0.348858	+	0.368410i
$208$		−	1.17110i		−	0.0812010i
$209$	10.1553	−	7.08650i	0.702458	−	0.490183i
$210$	−0.0676948	−	1.04138i	−0.00467138	−	0.0718618i
$211$	−5.97704	−	8.22669i	−0.411476	−	0.566348i	0.552102	−	0.833777i	$-0.313826\pi$
$211$	−5.97704	−	8.22669i	−0.411476	−	0.566348i	−0.963578	+	0.267428i	$0.913826\pi$
$212$	−8.48290	+	2.75626i	−0.582608	+	0.189301i
$213$	2.06113	−	8.09752i	0.141226	−	0.554833i
$214$	1.77490	+	1.28954i	0.121330	+	0.0881512i
$215$	−2.55006	−	1.85273i	−0.173913	−	0.126355i
$216$	−5.15915	−	0.619040i	−0.351035	−	0.0421203i
$217$	9.91928	−	3.22297i	0.673365	−	0.218789i
$218$	−6.53995	−	9.00147i	−0.442941	−	0.609657i
$219$	2.54219	−	0.165255i	0.171785	−	0.0111669i
$220$	1.59397	+	1.20517i	0.107465	+	0.0812524i
$221$		−	6.34614i		−	0.426887i
$222$	13.4007	+	16.1302i	0.899398	+	1.08259i
$223$	−5.02651	−	15.4700i	−0.336600	−	1.03595i	−0.965929	−	0.258808i	$-0.916670\pi$
$223$	−5.02651	−	15.4700i	−0.336600	−	1.03595i	0.629329	−	0.777139i	$-0.283330\pi$
$224$	0.951057	+	0.309017i	0.0635451	+	0.0206471i
$225$	12.2181	+	6.65084i	0.814537	+	0.443389i
$226$	2.31225	−	3.18253i	0.153808	−	0.211699i
$227$	2.90793	−	8.94969i	0.193006	−	0.594012i	−0.806988	−	0.590568i	$-0.798904\pi$
$227$	2.90793	−	8.94969i	0.193006	−	0.594012i	0.999994	−	0.00344376i	$-0.00109619\pi$
$228$	−2.39318	−	6.00792i	−0.158492	−	0.397884i
$229$	−8.53562	+	6.20149i	−0.564049	+	0.409806i	−0.832939	−	0.553365i	$-0.813343\pi$
$229$	−8.53562	+	6.20149i	−0.564049	+	0.409806i	0.268889	+	0.963171i	$0.413343\pi$
$230$	−1.46607			−0.0966697
$231$	−5.37630	+	2.02372i	−0.353734	+	0.133151i
$232$	−7.84479			−0.515036
$233$	2.74001	−	1.99074i	0.179504	−	0.130417i	−0.494405	−	0.869232i	$-0.664614\pi$
$233$	2.74001	−	1.99074i	0.179504	−	0.130417i	0.673909	+	0.738814i	$0.264614\pi$
$234$	3.17267	−	1.50911i	0.207404	−	0.0986537i
$235$	1.80190	−	5.54567i	0.117543	−	0.361760i
$236$	3.77446	−	5.19510i	0.245697	−	0.338172i
$237$	15.2439	+	9.62962i	0.990199	+	0.625511i
$238$	5.15374	+	1.67455i	0.334067	+	0.108545i
$239$	−3.98166	−	12.2543i	−0.257552	−	0.792664i	−0.993316	−	0.115426i	$-0.963177\pi$
$239$	−3.98166	−	12.2543i	−0.257552	−	0.792664i	0.735764	−	0.677238i	$-0.236823\pi$
$240$	0.802701	−	0.666872i	0.0518141	−	0.0430464i
$241$		−	15.8834i		−	1.02314i	−0.859243	−	0.511568i	$-0.829065\pi$
$241$		−	15.8834i		−	1.02314i	0.859243	−	0.511568i	$-0.170935\pi$
$242$	3.79547	−	10.3245i	0.243982	−	0.663681i
$243$	−4.97116	−	14.7746i	−0.318900	−	0.947788i
$244$	−4.20261	−	5.78440i	−0.269045	−	0.370308i
$245$	−0.573019	+	0.186185i	−0.0366088	+	0.0118949i
$246$	12.7426	+	3.24348i	0.812439	+	0.206797i
$247$	3.53749	+	2.57013i	0.225085	+	0.163534i
$248$	8.43785	+	6.13045i	0.535804	+	0.389284i
$249$	−22.2888	−	5.67335i	−1.41249	−	0.359534i
$250$	−5.52217	+	1.79426i	−0.349253	+	0.113479i
$251$	−8.40627	−	11.5702i	−0.530599	−	0.730307i	0.456623	−	0.889660i	$-0.349059\pi$
$251$	−8.40627	−	11.5702i	−0.530599	−	0.730307i	−0.987222	+	0.159354i	$0.949059\pi$
$252$	0.388390	+	2.97475i	0.0244662	+	0.187392i
$253$	2.34710	+	7.72143i	0.147561	+	0.485442i
$254$		−	6.17560i		−	0.387491i
$255$	4.34981	−	3.61375i	0.272395	−	0.226302i
$256$	0.309017	+	0.951057i	0.0193136	+	0.0594410i
$257$	1.77936	+	0.578150i	0.110994	+	0.0360640i	0.363987	−	0.931404i	$-0.381415\pi$
$257$	1.77936	+	0.578150i	0.110994	+	0.0360640i	−0.252994	+	0.967468i	$0.581415\pi$
$258$	7.66082	+	4.83936i	0.476942	+	0.301286i
$259$	7.11651	−	9.79504i	0.442199	−	0.608634i
$260$	−0.218041	+	0.671061i	−0.0135223	+	0.0416174i
$261$	−10.1090	−	21.2526i	−0.625733	−	1.31551i
$262$	−10.7907	+	7.83988i	−0.666650	+	0.484350i
$263$	−17.2555			−1.06402			−0.532009	−	0.846739i	$-0.678563\pi$
$263$	−17.2555			−1.06402			−0.532009	+	0.846739i	$0.678563\pi$
$264$	−4.79733	−	3.16000i	−0.295255	−	0.194485i
$265$	5.37403			0.330124
$266$	−3.02066	+	2.19464i	−0.185208	+	0.134562i
$267$	7.02406	+	17.6334i	0.429866	+	1.07915i
$268$	1.11656	−	3.43641i	0.0682047	−	0.209912i
$269$	15.2668	−	21.0129i	0.930830	−	1.28118i	−0.0287044	−	0.999588i	$-0.509138\pi$
$269$	15.2668	−	21.0129i	0.930830	−	1.28118i	0.959535	−	0.281590i	$-0.0908618\pi$
$270$	2.84103	+	1.31528i	0.172900	+	0.0800452i
$271$	2.61595	+	0.849975i	0.158908	+	0.0516323i	0.387391	−	0.921916i	$-0.373376\pi$
$271$	2.61595	+	0.849975i	0.158908	+	0.0516323i	−0.228483	+	0.973548i	$0.573376\pi$
$272$	1.67455	+	5.15374i	0.101535	+	0.312491i
$273$	−1.29620	−	1.56021i	−0.0784497	−	0.0944285i
$274$		−	12.2545i		−	0.740320i
$275$	8.80083	+	12.6120i	0.530710	+	0.760534i
$276$	4.20569	−	0.273391i	0.253153	−	0.0164562i
$277$	−0.882187	−	1.21423i	−0.0530055	−	0.0729558i	0.781691	−	0.623665i	$-0.214357\pi$
$277$	−0.882187	−	1.21423i	−0.0530055	−	0.0729558i	−0.834697	+	0.550710i	$0.814357\pi$
$278$	−18.7273	+	6.08488i	−1.12319	+	0.364947i
$279$	−5.73499	+	30.7592i	−0.343345	+	1.84150i
$280$	−0.487439	−	0.354145i	−0.0291300	−	0.0211642i
$281$	−5.77229	−	4.19382i	−0.344346	−	0.250182i	0.402147	−	0.915575i	$-0.368264\pi$
$281$	−5.77229	−	4.19382i	−0.344346	−	0.250182i	−0.746493	+	0.665393i	$0.768264\pi$
$282$	−4.13492	+	16.2448i	−0.246231	+	0.967363i
$283$	20.1609	−	6.55069i	1.19844	−	0.389398i	0.359256	−	0.933239i	$-0.383031\pi$
$283$	20.1609	−	6.55069i	1.19844	−	0.389398i	0.839188	+	0.543841i	$0.183031\pi$
$284$	−2.83558	−	3.90284i	−0.168261	−	0.231591i
$285$	0.252755	+	3.88822i	0.0149719	+	0.230319i
$286$	3.88339	+	0.0740363i	0.229629	+	0.00437786i
$287$		−	7.59154i		−	0.448114i
$288$	−2.17834	+	2.06273i	−0.128360	+	0.121548i
$289$	3.82105	+	11.7600i	0.224767	+	0.691763i
$290$	4.49521	+	1.46058i	0.263968	+	0.0857684i
$291$	−4.70226	+	7.44378i	−0.275651	+	0.436362i
$292$	0.864532	−	1.18993i	0.0505929	−	0.0696352i
$293$	−1.24426	+	3.82944i	−0.0726904	+	0.223718i	−0.980801	−	0.195013i	$-0.937525\pi$
$293$	−1.24426	+	3.82944i	−0.0726904	+	0.223718i	0.908110	+	0.418731i	$0.137525\pi$
$294$	1.60909	−	0.640962i	0.0938440	−	0.0373817i
$295$	−3.13009	+	2.27414i	−0.182241	+	0.132406i
$296$	12.1073			0.703725
$297$	2.37891	−	17.0687i	0.138038	−	0.990427i
$298$	6.05387			0.350692
$299$	−2.30538	+	1.67496i	−0.133324	+	0.0968653i
$300$	7.46132	−	2.97213i	0.430780	−	0.171596i
$301$	1.61664	−	4.97551i	0.0931816	−	0.286784i
$302$	−4.34674	+	5.98277i	−0.250127	+	0.344270i
$303$	0.632331	−	1.00099i	0.0363264	−	0.0575056i
$304$	−3.55100	−	1.15379i	−0.203664	−	0.0661743i
$305$	1.33121	+	4.09703i	0.0762246	+	0.234595i
$306$	−11.8043	+	11.1779i	−0.674808	+	0.638996i
$307$			0.679160i			0.0387617i	0.999812	+	0.0193808i	$0.00616950\pi$
$307$			0.679160i			0.0387617i	−0.999812	+	0.0193808i	$0.993830\pi$
$308$	−1.08483	+	3.13419i	−0.0618141	+	0.178587i
$309$	0.0687627	+	1.05780i	0.00391177	+	0.0601764i
$310$	−3.69364	−	5.08387i	−0.209785	−	0.288744i
$311$	10.0249	−	3.25727i	0.568457	−	0.184703i	−0.0106658	−	0.999943i	$-0.503395\pi$
$311$	10.0249	−	3.25727i	0.568457	−	0.184703i	0.579123	+	0.815240i	$0.303395\pi$
$312$	0.500351	−	1.96572i	0.0283268	−	0.111287i
$313$	−11.2073	−	8.14255i	−0.633472	−	0.460244i	0.224129	−	0.974559i	$-0.428046\pi$
$313$	−11.2073	−	8.14255i	−0.633472	−	0.460244i	−0.857601	+	0.514315i	$0.828046\pi$
$314$	6.20942	+	4.51140i	0.350418	+	0.254593i
$315$	0.331300	−	1.77690i	0.0186666	−	0.100117i
$316$	9.90053	−	3.21688i	0.556949	−	0.180964i
$317$	5.46086	+	7.51623i	0.306713	+	0.422154i	0.934353	−	0.356350i	$-0.115979\pi$
$317$	5.46086	+	7.51623i	0.306713	+	0.422154i	−0.627640	+	0.778504i	$0.715979\pi$
$318$	−15.4164	+	1.00214i	−0.864509	+	0.0561975i
$319$	0.495945	−	26.0135i	0.0277676	−	1.45648i
$320$		−	0.602508i		−	0.0336812i
$321$	2.42827	+	2.92286i	0.135533	+	0.163138i
$322$	−0.751925	−	2.31419i	−0.0419031	−	0.128965i
$323$	−19.2427	−	6.25234i	−1.07069	−	0.347889i
$324$	−8.39529	−	3.24332i	−0.466405	−	0.180184i
$325$	−3.19189	+	4.39326i	−0.177054	+	0.243694i
$326$	−4.84740	+	14.9188i	−0.268473	+	0.826274i
$327$	−7.13162	−	17.9034i	−0.394379	−	0.990061i
$328$	6.14168	−	4.46220i	0.339118	−	0.246384i
$329$	9.67800			0.533565
$330$	2.16061	+	2.70393i	0.118938	+	0.148847i
$331$	−19.9533			−1.09673			−0.548367	−	0.836238i	$-0.684750\pi$
$331$	−19.9533			−1.09673			−0.548367	+	0.836238i	$0.684750\pi$
$332$	−10.7427	+	7.80506i	−0.589584	+	0.428358i
$333$	15.6019	+	32.8005i	0.854977	+	1.79745i
$334$	−2.38287	+	7.33372i	−0.130385	+	0.401283i
$335$	−1.27962	+	1.76124i	−0.0699130	+	0.0962270i
$336$	1.46435	+	0.925033i	0.0798867	+	0.0504647i
$337$	−13.2493	−	4.30496i	−0.721736	−	0.234506i	−0.0749600	−	0.997187i	$-0.523883\pi$
$337$	−13.2493	−	4.30496i	−0.721736	−	0.234506i	−0.646775	+	0.762680i	$0.723883\pi$
$338$	−3.59341	−	11.0594i	−0.195456	−	0.601551i
$339$	5.24091	−	4.35407i	0.284647	−	0.236480i
$340$		−	3.26497i		−	0.177068i
$341$	−20.8622	+	27.5925i	−1.12975	+	1.49422i
$342$	−1.45015	−	11.1069i	−0.0784149	−	0.600595i
$343$	−0.587785	−	0.809017i	−0.0317374	−	0.0436828i
$344$	4.97551	−	1.61664i	0.268261	−	0.0871634i
$345$	−2.46084	−	0.626378i	−0.132487	−	0.0337230i
$346$	8.26195	+	6.00266i	0.444165	+	0.322705i
$347$	−0.278492	−	0.202336i	−0.0149502	−	0.0108620i	0.580285	−	0.814413i	$-0.302941\pi$
$347$	−0.278492	−	0.202336i	−0.0149502	−	0.0108620i	−0.595235	+	0.803551i	$0.702941\pi$
$348$	−13.1677	−	3.35169i	−0.705863	−	0.179669i
$349$	23.7257	−	7.70894i	1.27001	−	0.412650i	0.404956	−	0.914336i	$-0.367287\pi$
$349$	23.7257	−	7.70894i	1.27001	−	0.412650i	0.865050	+	0.501686i	$0.167287\pi$
$350$	−2.72555	−	3.75140i	−0.145687	−	0.200521i
$351$	5.97018	−	1.17756i	0.318665	−	0.0628538i
$352$	−3.17326	+	0.964582i	−0.169135	+	0.0514124i
$353$			15.2103i			0.809562i	0.914414	+	0.404781i	$0.132652\pi$
$353$			15.2103i			0.809562i	−0.914414	+	0.404781i	$0.867348\pi$
$354$	8.55515	−	7.10749i	0.454701	−	0.377759i
$355$	0.898190	+	2.76434i	0.0476710	+	0.146716i
$356$	10.4223	+	3.38640i	0.552379	+	0.179479i
$357$	7.93525	+	5.01272i	0.419978	+	0.265301i
$358$	13.4259	−	18.4792i	0.709583	−	0.976657i
$359$	−2.27481	+	7.00115i	−0.120060	+	0.369507i	−0.992969	−	0.118377i	$-0.962231\pi$
$359$	−2.27481	+	7.00115i	−0.120060	+	0.369507i	0.872909	+	0.487884i	$0.162231\pi$
$360$	1.63228	−	0.776409i	0.0860285	−	0.0409204i
$361$	−4.09298	+	2.97372i	−0.215420	+	0.156512i
$362$	20.5349			1.07929
$363$	10.7819	−	15.7083i	0.565904	−	0.824471i
$364$	−1.17110			−0.0613822
$365$	−0.716940	+	0.520887i	−0.0375263	+	0.0272645i
$366$	−4.58282	−	11.5048i	−0.239548	−	0.601368i
$367$	−5.67041	+	17.4517i	−0.295993	+	0.910973i	0.686893	+	0.726759i	$0.258974\pi$
$367$	−5.67041	+	17.4517i	−0.295993	+	0.910973i	−0.982886	+	0.184215i	$0.941026\pi$
$368$	1.43025	−	1.96856i	0.0745567	−	0.102619i
$369$	20.0031	+	10.8886i	1.04132	+	0.566836i
$370$	−6.93773	−	2.25420i	−0.360675	−	0.117191i
$371$	2.75626	+	8.48290i	0.143098	+	0.440410i
$372$	11.5439	+	13.8952i	0.598525	+	0.720433i
$373$			17.2586i			0.893619i	0.894629	+	0.446809i	$0.147440\pi$
$373$			17.2586i			0.893619i	−0.894629	+	0.446809i	$0.852560\pi$
$374$	−17.1958	+	5.22703i	−0.889173	+	0.270283i
$375$	−10.0357	+	0.652373i	−0.518242	+	0.0336884i
$376$	5.68858	+	7.82966i	0.293366	+	0.403784i
$377$	8.73737	−	2.83895i	0.449998	−	0.146213i
$378$	−0.619040	+	5.15915i	−0.0318400	+	0.265358i
$379$	18.9645	+	13.7785i	0.974139	+	0.707754i	0.956391	−	0.292089i	$-0.0943503\pi$
$379$	18.9645	+	13.7785i	0.974139	+	0.707754i	0.0177481	+	0.999842i	$0.494350\pi$
$380$	1.81997	+	1.32228i	0.0933624	+	0.0678318i
$381$	2.63852	−	10.3659i	0.135176	−	0.531062i
$382$	−20.9300	+	6.80056i	−1.07087	+	0.347947i
$383$	−0.208247	−	0.286627i	−0.0106409	−	0.0146460i	0.803663	−	0.595084i	$-0.202881\pi$
$383$	−0.208247	−	0.286627i	−0.0106409	−	0.0146460i	−0.814304	+	0.580438i	$0.802881\pi$
$384$	0.112355	+	1.72840i	0.00573360	+	0.0882022i
$385$	1.20517	−	1.59397i	0.0614211	−	0.0812362i
$386$		−	17.9609i		−	0.914184i
$387$	10.7913	+	11.3961i	0.548552	+	0.579296i
$388$	1.57084	+	4.83455i	0.0797473	+	0.245437i
$389$	2.95207	+	0.959185i	0.149676	+	0.0486326i	0.382897	−	0.923791i	$-0.374927\pi$
$389$	2.95207	+	0.959185i	0.149676	+	0.0486326i	−0.233221	+	0.972424i	$0.574927\pi$
$390$	−0.652698	+	1.03324i	−0.0330507	+	0.0523200i
$391$	7.75045	−	10.6676i	0.391957	−	0.539483i
$392$	0.309017	−	0.951057i	0.0156077	−	0.0480356i
$393$	−21.4620	+	8.54915i	−1.08262	+	0.431248i
$394$	15.2457	−	11.0766i	0.768067	−	0.558033i
$395$	−6.27213			−0.315585
$396$	−6.70234	−	7.35381i	−0.336805	−	0.369543i
$397$	21.2126			1.06463			0.532315	−	0.846546i	$-0.321322\pi$
$397$	21.2126			1.06463			0.532315	+	0.846546i	$0.321322\pi$
$398$	−5.41720	+	3.93583i	−0.271540	+	0.197285i
$399$	−6.00792	+	2.39318i	−0.300772	+	0.119809i
$400$	1.43291	−	4.41003i	0.0716454	−	0.220502i
$401$	−1.63979	+	2.25698i	−0.0818873	+	0.112708i	−0.847996	−	0.530003i	$-0.822191\pi$
$401$	−1.63979	+	2.25698i	−0.0818873	+	0.112708i	0.766108	+	0.642712i	$0.222191\pi$
$402$	3.34238	−	5.29107i	0.166703	−	0.263895i
$403$	−11.6164	−	3.77441i	−0.578657	−	0.188017i
$404$	−0.211237	−	0.650120i	−0.0105094	−	0.0323447i
$405$	4.20680	+	3.42156i	0.209038	+	0.170019i
$406$			7.84479i			0.389331i
$407$	−0.765421	+	40.1482i	−0.0379405	+	1.99007i
$408$	0.608848	+	9.36615i	0.0301425	+	0.463694i
$409$	−6.35005	−	8.74009i	−0.313990	−	0.432170i	0.622631	−	0.782516i	$-0.286064\pi$
$409$	−6.35005	−	8.74009i	−0.313990	−	0.432170i	−0.936620	+	0.350346i	$0.886064\pi$
$410$	−4.35009	+	1.41343i	−0.214836	+	0.0698044i
$411$	5.23572	−	20.5695i	0.258259	−	1.01462i
$412$	0.495129	+	0.359732i	0.0243932	+	0.0177227i
$413$	−5.19510	−	3.77446i	−0.255634	−	0.185729i
$414$	7.17617	+	1.33798i	0.352690	+	0.0657583i
$415$	7.60898	−	2.47231i	0.373510	−	0.121361i
$416$	−0.688354	−	0.947438i	−0.0337493	−	0.0464520i
$417$	−34.0341	+	2.21239i	−1.66666	+	0.108341i
$418$	4.05048	−	11.7022i	0.198116	−	0.572375i
$419$			22.4422i			1.09637i	0.836356	+	0.548187i	$0.184682\pi$
$419$			22.4422i			1.09637i	−0.836356	+	0.548187i	$0.815318\pi$
$420$	−0.666872	−	0.802701i	−0.0325400	−	0.0391678i
$421$	−10.8607	−	33.4259i	−0.529320	−	1.62908i	−0.755612	−	0.655019i	$-0.772661\pi$
$421$	−10.8607	−	33.4259i	−0.529320	−	1.62908i	0.226293	−	0.974059i	$-0.427339\pi$
$422$	−9.67105	−	3.14231i	−0.470779	−	0.152965i
$423$	−13.8812	+	25.5007i	−0.674925	+	1.23989i
$424$	−5.24272	+	7.21598i	−0.254609	+	0.350439i
$425$	7.76487	−	23.8978i	0.376652	−	1.15921i
$426$	−3.09211	−	7.76253i	−0.149813	−	0.376096i
$427$	−5.78440	+	4.20261i	−0.279927	+	0.203379i
$428$	2.19390			0.106046
$429$	6.48674	+	1.78345i	0.313183	+	0.0861057i
$430$	−3.15205			−0.152006
$431$	−17.0747	+	12.4055i	−0.822459	+	0.597552i	−0.917416	−	0.397930i	$-0.869729\pi$
$431$	−17.0747	+	12.4055i	−0.822459	+	0.597552i	0.0949567	+	0.995481i	$0.469729\pi$
$432$	−4.53770	+	2.53166i	−0.218320	+	0.121804i
$433$	4.05937	−	12.4935i	0.195081	−	0.600398i	−0.804895	−	0.593418i	$-0.797778\pi$
$433$	4.05937	−	12.4935i	0.195081	−	0.600398i	0.999976	−	0.00697985i	$-0.00222177\pi$
$434$	6.13045	−	8.43785i	0.294271	−	0.405030i
$435$	6.92131	+	4.37221i	0.331851	+	0.209631i
$436$	−10.5819	−	3.43826i	−0.506779	−	0.164663i
$437$	2.80749	+	8.64057i	0.134300	+	0.413334i
$438$	1.95954	−	1.62795i	0.0936303	−	0.0777866i
$439$		−	6.39266i		−	0.305105i	−0.988295	−	0.152552i	$-0.951251\pi$
$439$		−	6.39266i		−	0.305105i	0.988295	−	0.152552i	$-0.0487493\pi$
$440$	1.99793	+	0.0380903i	0.0952475	+	0.00181588i
$441$	2.97475	−	0.388390i	0.141655	−	0.0184947i
$442$	−3.73017	−	5.13413i	−0.177426	−	0.244206i
$443$	8.28949	−	2.69342i	0.393846	−	0.127968i	−0.105397	−	0.994430i	$-0.533611\pi$
$443$	8.28949	−	2.69342i	0.393846	−	0.127968i	0.499243	+	0.866462i	$0.333611\pi$
$444$	20.3225	+	5.17286i	0.964463	+	0.245493i
$445$	−5.34166	−	3.88094i	−0.253219	−	0.183974i
$446$	−13.1596	−	9.56098i	−0.623123	−	0.452726i
$447$	10.1616	+	2.58652i	0.480627	+	0.122338i
$448$	0.951057	−	0.309017i	0.0449332	−	0.0145997i
$449$	15.6738	+	21.5731i	0.739691	+	1.01810i	0.998636	+	0.0522057i	$0.0166252\pi$
$449$	15.6738	+	21.5731i	0.739691	+	1.01810i	−0.258945	+	0.965892i	$0.583375\pi$
$450$	13.7939	−	1.80096i	0.650250	−	0.0848979i
$451$	14.4085	+	20.6481i	0.678468	+	0.972279i
$452$		−	3.93383i		−	0.185032i
$453$	−9.85226	+	8.18510i	−0.462899	+	0.384570i
$454$	−2.90793	−	8.94969i	−0.136476	−	0.420030i
$455$	0.671061	+	0.218041i	0.0314598	+	0.0102219i
$456$	−5.46749	−	3.45383i	−0.256039	−	0.161740i
$457$	−7.99935	+	11.0102i	−0.374194	+	0.515033i	−0.954035	−	0.299696i	$-0.903115\pi$
$457$	−7.99935	+	11.0102i	−0.374194	+	0.515033i	0.579841	+	0.814730i	$0.303115\pi$
$458$	−3.26032	+	10.0342i	−0.152345	+	0.468868i
$459$	−24.5896	+	13.7190i	−1.14775	+	0.640346i
$460$	−1.18607	+	0.861734i	−0.0553010	+	0.0401785i
$461$	−33.4779			−1.55922			−0.779611	−	0.626264i	$-0.784583\pi$
$461$	−33.4779			−1.55922			−0.779611	+	0.626264i	$0.784583\pi$
$462$	−3.16000	+	4.79733i	−0.147017	+	0.223192i
$463$	25.3996			1.18042			0.590209	−	0.807250i	$-0.299045\pi$
$463$	25.3996			1.18042			0.590209	+	0.807250i	$0.299045\pi$
$464$	−6.34657	+	4.61105i	−0.294632	+	0.214063i
$465$	−4.02781	−	10.1115i	−0.186785	−	0.468911i
$466$	1.04659	−	3.22108i	0.0484824	−	0.149214i
$467$	−3.72067	+	5.12107i	−0.172172	+	0.236975i	−0.886379	−	0.462960i	$-0.846787\pi$
$467$	−3.72067	+	5.12107i	−0.172172	+	0.236975i	0.714207	+	0.699934i	$0.246787\pi$
$468$	1.67971	−	3.08574i	0.0776445	−	0.142639i
$469$	−3.43641	−	1.11656i	−0.158679	−	0.0515579i
$470$	−1.80190	−	5.54567i	−0.0831154	−	0.255803i
$471$	8.49518	+	10.2255i	0.391437	+	0.471166i
$472$		−	6.42150i		−	0.295573i
$473$	5.04627	+	16.6011i	0.232028	+	0.763319i
$474$	17.9927	−	1.16962i	0.826434	−	0.0537224i
$475$	10.1765	+	14.0067i	0.466930	+	0.642674i
$476$	5.15374	−	1.67455i	0.236221	−	0.0767530i
$477$	−26.3050	−	4.90452i	−1.20442	−	0.224563i
$478$	−10.4241	−	7.57357i	−0.476788	−	0.346407i
$479$	−11.4835	−	8.34322i	−0.524693	−	0.381211i	0.293676	−	0.955905i	$-0.405121\pi$
$479$	−11.4835	−	8.34322i	−0.524693	−	0.381211i	−0.818369	+	0.574694i	$0.805121\pi$
$480$	0.257421	−	1.01133i	0.0117496	−	0.0461605i
$481$	−13.4849	+	4.38151i	−0.614859	+	0.199780i
$482$	−9.33600	−	12.8499i	−0.425243	−	0.585297i
$483$	−0.273391	−	4.20569i	−0.0124397	−	0.191365i
$484$	−2.99796	−	10.5836i	−0.136271	−	0.481072i
$485$		−	3.06275i		−	0.139072i
$486$	−12.7060	−	9.03089i	−0.576357	−	0.409649i
$487$	1.93923	+	5.96834i	0.0878750	+	0.270451i	0.985331	−	0.170652i	$-0.0545873\pi$
$487$	1.93923	+	5.96834i	0.0878750	+	0.270451i	−0.897456	+	0.441103i	$0.854587\pi$
$488$	−6.79997	−	2.20944i	−0.307820	−	0.100017i
$489$	−14.5105	+	22.9705i	−0.656189	+	1.03876i
$490$	−0.354145	+	0.487439i	−0.0159986	+	0.0220202i
$491$	−12.7154	+	39.1341i	−0.573840	+	1.76610i	0.0662569	+	0.997803i	$0.478894\pi$
$491$	−12.7154	+	39.1341i	−0.573840	+	1.76610i	−0.640097	+	0.768294i	$0.721106\pi$
$492$	12.2155	−	4.86589i	0.550716	−	0.219371i
$493$	−34.3918	+	24.9871i	−1.54893	+	1.12536i
$494$	4.37257			0.196731
$495$	2.47140	+	5.46175i	0.111081	+	0.245487i
$496$	10.4298			0.468310
$497$	−3.90284	+	2.83558i	−0.175066	+	0.127193i
$498$	−21.3667	+	8.51118i	−0.957465	+	0.381395i
$499$	−6.11304	+	18.8140i	−0.273657	+	0.842230i	0.715915	+	0.698188i	$0.246010\pi$
$499$	−6.11304	+	18.8140i	−0.273657	+	0.842230i	−0.989572	+	0.144042i	$0.953990\pi$
$500$	−3.41289	+	4.69744i	−0.152629	+	0.210076i
$501$	−7.13304	+	11.2918i	−0.318681	+	0.504479i
$502$	−13.6016	−	4.41944i	−0.607070	−	0.197249i
$503$	−3.02925	−	9.32308i	−0.135068	−	0.415695i	0.860533	−	0.509395i	$-0.170131\pi$
$503$	−3.02925	−	9.32308i	−0.135068	−	0.415695i	−0.995601	+	0.0936994i	$0.970131\pi$
$504$	2.06273	+	2.17834i	0.0918813	+	0.0970308i
$505$			0.411860i			0.0183275i
$506$	6.43738	+	4.86718i	0.286177	+	0.216372i
$507$	−1.30652	−	20.0988i	−0.0580248	−	0.892618i
$508$	−3.62992	−	4.99616i	−0.161052	−	0.221669i
$509$	27.3018	−	8.87088i	1.21013	−	0.393195i	0.366651	−	0.930359i	$-0.380504\pi$
$509$	27.3018	−	8.87088i	1.21013	−	0.393195i	0.843478	+	0.537164i	$0.180504\pi$
$510$	1.39496	−	5.48034i	0.0617697	−	0.242673i
$511$	−1.18993	−	0.864532i	−0.0526392	−	0.0382446i
$512$	0.809017	+	0.587785i	0.0357538	+	0.0259767i
$513$	2.31133	−	19.2629i	0.102048	−	0.850478i
$514$	1.77936	−	0.578150i	0.0784843	−	0.0255011i
$515$	−0.216741	−	0.298319i	−0.00955076	−	0.0131455i
$516$	9.04224	−	0.587792i	0.398062	−	0.0258761i
$517$	−26.3230	+	18.3685i	−1.15768	+	0.807845i
$518$		−	12.1073i		−	0.531966i
$519$	11.3033	+	13.6056i	0.496159	+	0.597218i
$520$	0.218041	+	0.671061i	0.00956173	+	0.0294280i
$521$	−9.88407	−	3.21153i	−0.433029	−	0.140700i	0.0843881	−	0.996433i	$-0.473106\pi$
$521$	−9.88407	−	3.21153i	−0.433029	−	0.140700i	−0.517417	+	0.855733i	$0.673106\pi$
$522$	−20.6704	−	11.2518i	−0.904717	−	0.492478i
$523$	−11.0784	+	15.2481i	−0.484426	+	0.666755i	−0.979348	−	0.202183i	$-0.935197\pi$
$523$	−11.0784	+	15.2481i	−0.484426	+	0.666755i	0.494922	+	0.868937i	$0.335197\pi$
$524$	−4.12167	+	12.6852i	−0.180056	+	0.554155i
$525$	−2.97213	−	7.46132i	−0.129714	−	0.325639i
$526$	−13.9600	+	10.1425i	−0.608684	+	0.442235i
$527$	56.5184			2.46198
$528$	−5.73853	+	0.263303i	−0.249737	+	0.0114588i
$529$	17.0792			0.742572
$530$	4.34768	−	3.15878i	0.188851	−	0.137209i
$531$	17.3967	−	8.27494i	0.754954	−	0.359102i
$532$	−1.15379	+	3.55100i	−0.0500231	+	0.153955i
$533$	−5.22567	+	7.19251i	−0.226349	+	0.311542i
$534$	16.0472	+	10.1371i	0.694432	+	0.438675i
$535$	−1.25715	−	0.408471i	−0.0543511	−	0.0176598i
$536$	−1.11656	−	3.43641i	−0.0482280	−	0.148431i
$537$	30.4311	−	25.2817i	1.31320	−	1.09098i
$538$		−	25.9734i		−	1.11979i
$539$	3.13419	+	1.08483i	0.134999	+	0.0467270i
$540$	3.07154	−	0.605835i	0.132178	−	0.0260710i
$541$	13.7550	+	18.9321i	0.591374	+	0.813957i	0.994885	−	0.101018i	$-0.0322101\pi$
$541$	13.7550	+	18.9321i	0.591374	+	0.813957i	−0.403511	+	0.914975i	$0.632210\pi$
$542$	2.61595	−	0.849975i	0.112365	−	0.0365095i
$543$	34.4684	+	8.77354i	1.47918	+	0.376509i
$544$	4.38403	+	3.18519i	0.187964	+	0.136564i
$545$	5.42345	+	3.94037i	0.232315	+	0.168787i
$546$	−1.96572	−	0.500351i	−0.0841251	−	0.0214131i
$547$	32.3643	−	10.5158i	1.38380	−	0.449623i	0.479881	−	0.877333i	$-0.340680\pi$
$547$	32.3643	−	10.5158i	1.38380	−	0.449623i	0.903916	+	0.427710i	$0.140680\pi$
$548$	−7.20300	−	9.91408i	−0.307697	−	0.423509i
$549$	−2.77695	−	21.2692i	−0.118517	−	0.907748i
$550$	14.5332	+	5.03035i	0.619697	+	0.214495i
$551$		−	29.2904i		−	1.24781i
$552$	3.24178	−	2.69322i	0.137979	−	0.114631i
$553$	−3.21688	−	9.90053i	−0.136796	−	0.421014i
$554$	−1.42741	−	0.463793i	−0.0606448	−	0.0197047i
$555$	−10.6821	−	6.74789i	−0.453428	−	0.286432i
$556$	−11.5741	+	15.9304i	−0.490852	+	0.675600i
$557$	7.68079	−	23.6390i	0.325445	−	1.00162i	−0.645794	−	0.763512i	$-0.723473\pi$
$557$	7.68079	−	23.6390i	0.325445	−	1.00162i	0.971239	−	0.238106i	$-0.0765266\pi$
$558$	13.4401	+	28.2556i	0.568964	+	1.19616i
$559$	−4.95658	+	3.60116i	−0.209641	+	0.152313i
$560$	−0.602508			−0.0254606
$561$	−31.0969	+	1.42683i	−1.31291	+	0.0602408i
$562$	−7.13495			−0.300970
$563$	−15.9403	+	11.5813i	−0.671805	+	0.488095i	−0.870629	−	0.491940i	$-0.836288\pi$
$563$	−15.9403	+	11.5813i	−0.671805	+	0.488095i	0.198824	+	0.980035i	$0.436288\pi$
$564$	6.20323	+	15.5728i	0.261203	+	0.655731i
$565$	−0.732420	+	2.25416i	−0.0308131	+	0.0948331i
$566$	12.4601	−	17.1499i	0.523739	−	0.720865i
$567$	−3.24332	+	8.39529i	−0.136207	+	0.352569i
$568$	−4.58807	−	1.49075i	−0.192511	−	0.0625506i
$569$	−8.02131	−	24.6871i	−0.336271	−	1.03494i	−0.966093	−	0.258196i	$-0.916872\pi$
$569$	−8.02131	−	24.6871i	−0.336271	−	1.03494i	0.629822	−	0.776740i	$-0.283128\pi$
$570$	2.48992	+	2.99707i	0.104291	+	0.125534i
$571$			16.7989i			0.703014i	0.936185	+	0.351507i	$0.114331\pi$
$571$			16.7989i			0.703014i	−0.936185	+	0.351507i	$0.885669\pi$
$572$	3.18524	−	2.22270i	0.133182	−	0.0929358i
$573$	−38.0371	+	2.47260i	−1.58902	+	0.103295i
$574$	−4.46220	−	6.14168i	−0.186248	−	0.256349i
$575$	−10.7308	+	3.48666i	−0.447507	+	0.145404i
$576$	−0.549869	+	2.94918i	−0.0229112	+	0.122882i
$577$	19.3442	+	14.0544i	0.805309	+	0.585091i	0.912467	−	0.409151i	$-0.134175\pi$
$577$	19.3442	+	14.0544i	0.805309	+	0.585091i	−0.107158	+	0.994242i	$0.534175\pi$
$578$	10.0036	+	7.26806i	0.416096	+	0.302312i
$579$	7.67378	−	30.1478i	0.318911	−	1.25290i
$580$	4.49521	−	1.46058i	0.186654	−	0.0606474i
$581$	7.80506	+	10.7427i	0.323808	+	0.445684i
$582$	0.571139	+	8.78606i	0.0236745	+	0.364194i
$583$	−23.5969	−	17.8412i	−0.977285	−	0.738905i
$584$		−	1.47083i		−	0.0608634i
$585$	−1.53702	+	1.45545i	−0.0635481	+	0.0601755i
$586$	1.24426	+	3.82944i	0.0513999	+	0.158193i
$587$	−7.70029	−	2.50198i	−0.317825	−	0.103268i	0.145760	−	0.989320i	$-0.453437\pi$
$587$	−7.70029	−	2.50198i	−0.317825	−	0.103268i	−0.463585	+	0.886052i	$0.653437\pi$
$588$	0.925033	−	1.46435i	0.0381477	−	0.0603887i
$589$	−22.8895	+	31.5047i	−0.943146	+	1.29813i
$590$	−1.19559	+	3.67964i	−0.0492216	+	0.151488i
$591$	30.3228	−	12.0787i	1.24731	−	0.496853i
$592$	9.79504	−	7.11651i	0.402574	−	0.292487i
$593$	39.5597			1.62452			0.812262	−	0.583293i	$-0.198236\pi$
$593$	39.5597			1.62452			0.812262	+	0.583293i	$0.198236\pi$
$594$	−8.10816	−	15.2072i	−0.332682	−	0.623957i
$595$	−3.26497			−0.133851
$596$	4.89769	−	3.55838i	0.200617	−	0.145757i
$597$	−10.7745	+	4.29190i	−0.440971	+	0.175656i
$598$	−0.880577	+	2.71014i	−0.0360095	+	0.110826i
$599$	1.29537	−	1.78292i	0.0529274	−	0.0728483i	−0.781733	−	0.623613i	$-0.785664\pi$
$599$	1.29537	−	1.78292i	0.0529274	−	0.0728483i	0.834660	+	0.550765i	$0.185664\pi$
$600$	4.28936	−	6.79016i	0.175112	−	0.277207i
$601$	40.2139	+	13.0663i	1.64036	+	0.532985i	0.976619	−	0.214977i	$-0.0689677\pi$
$601$	40.2139	+	13.0663i	1.64036	+	0.532985i	0.663741	+	0.747962i	$0.268968\pi$
$602$	−1.61664	−	4.97551i	−0.0658893	−	0.202787i
$603$	7.87089	−	7.45318i	0.320528	−	0.303517i
$604$			7.39511i			0.300903i
$605$	−0.252616	+	6.62277i	−0.0102703	+	0.269254i
$606$	−0.0768033	−	1.18150i	−0.00311992	−	0.0479950i
$607$	0.419060	+	0.576787i	0.0170091	+	0.0234111i	0.817437	−	0.576018i	$-0.195394\pi$
$607$	0.419060	+	0.576787i	0.0170091	+	0.0234111i	−0.800428	+	0.599429i	$0.795394\pi$
$608$	−3.55100	+	1.15379i	−0.144012	+	0.0467923i
$609$	−3.35169	+	13.1677i	−0.135817	+	0.533582i
$610$	3.48514	+	2.53210i	0.141109	+	0.102522i
$611$	−9.16930	−	6.66189i	−0.370950	−	0.269511i
$612$	−2.97972	+	15.9815i	−0.120448	+	0.646013i
$613$	−34.5727	+	11.2334i	−1.39638	+	0.453711i	−0.908018	−	0.418931i	$-0.862405\pi$
$613$	−34.5727	+	11.2334i	−1.39638	+	0.453711i	−0.488360	+	0.872642i	$0.662405\pi$
$614$	0.399200	+	0.549452i	0.0161104	+	0.0221741i
$615$	−7.90565	+	0.513908i	−0.318786	+	0.0207228i
$616$	0.964582	+	3.17326i	0.0388641	+	0.127854i
$617$			24.8188i			0.999166i	0.866266	+	0.499583i	$0.166513\pi$
$617$			24.8188i			0.999166i	−0.866266	+	0.499583i	$0.833487\pi$
$618$	0.677392	+	0.815364i	0.0272487	+	0.0327987i
$619$	−10.1313	−	31.1809i	−0.407211	−	1.25327i	−0.919035	−	0.394176i	$-0.871030\pi$
$619$	−10.1313	−	31.1809i	−0.407211	−	1.25327i	0.511824	−	0.859090i	$-0.328970\pi$
$620$	−5.97644	−	1.94186i	−0.240020	−	0.0779871i
$621$	11.4738	+	5.31186i	0.460426	+	0.213158i
$622$	6.19570	−	8.52765i	0.248425	−	0.341928i
$623$	3.38640	−	10.4223i	0.135673	−	0.417560i
$624$	−0.750629	−	1.88440i	−0.0300492	−	0.0754364i
$625$	−15.9268	+	11.5715i	−0.637070	+	0.462859i
$626$	−13.8529			−0.553675
$627$	11.7986	−	17.9120i	0.471192	−	0.715335i
$628$	7.67526			0.306276
$629$	53.0790	−	38.5641i	2.11640	−	1.53765i
$630$	−0.776409	−	1.63228i	−0.0309329	−	0.0650315i
$631$	−0.989525	+	3.04545i	−0.0393924	+	0.121237i	−0.968819	−	0.247770i	$-0.920302\pi$
$631$	−0.989525	+	3.04545i	−0.0393924	+	0.121237i	0.929426	+	0.369007i	$0.120302\pi$
$632$	6.11887	−	8.42190i	0.243395	−	0.335005i
$633$	−14.8906	−	9.40642i	−0.591847	−	0.373872i
$634$	8.83586	+	2.87095i	0.350917	+	0.114020i
$635$	1.14980	+	3.53873i	0.0456286	+	0.140430i
$636$	−11.8831	+	9.87228i	−0.471195	+	0.391461i
$637$			1.17110i			0.0464006i
$638$	−14.8891	−	21.3369i	−0.589466	−	0.844735i
$639$	−1.87366	−	14.3507i	−0.0741209	−	0.567706i
$640$	−0.354145	−	0.487439i	−0.0139988	−	0.0192677i
$641$	−25.6577	+	8.33670i	−1.01342	+	0.329280i	−0.768215	−	0.640192i	$-0.778855\pi$
$641$	−25.6577	+	8.33670i	−1.01342	+	0.329280i	−0.245204	+	0.969471i	$0.578855\pi$
$642$	3.68252	+	0.937343i	0.145338	+	0.0369940i
$643$	0.0455491	+	0.0330934i	0.00179628	+	0.00130507i	0.588683	−	0.808364i	$-0.299647\pi$
$643$	0.0455491	+	0.0330934i	0.00179628	+	0.00130507i	−0.586887	+	0.809669i	$0.699647\pi$
$644$	−1.96856	−	1.43025i	−0.0775723	−	0.0563596i
$645$	−5.29081	−	1.34671i	−0.208325	−	0.0530268i
$646$	−19.2427	+	6.25234i	−0.757095	+	0.245995i
$647$	7.36103	+	10.1316i	0.289392	+	0.398314i	0.928816	−	0.370540i	$-0.120827\pi$
$647$	7.36103	+	10.1316i	0.289392	+	0.398314i	−0.639425	+	0.768854i	$0.720827\pi$
$648$	−8.69831	+	2.31073i	−0.341702	+	0.0907739i
$649$	21.2938	+	0.405965i	0.835856	+	0.0159355i
$650$			5.43036i			0.212996i
$651$	13.8952	−	11.5439i	0.544596	−	0.452442i
$652$	4.84740	+	14.9188i	0.189839	+	0.584264i
$653$	−42.5221	−	13.8163i	−1.66402	−	0.540672i	−0.682309	−	0.731064i	$-0.739024\pi$
$653$	−42.5221	−	13.8163i	−1.66402	−	0.540672i	−0.981708	+	0.190392i	$0.939024\pi$
$654$	−16.2930	−	10.2923i	−0.637105	−	0.402461i
$655$	4.72359	−	6.50146i	0.184566	−	0.254033i
$656$	2.34591	−	7.21998i	0.0915926	−	0.281893i
$657$	3.98468	−	1.89535i	0.155457	−	0.0739448i
$658$	7.82966	−	5.68858i	0.305232	−	0.221764i
$659$	15.7287			0.612701			0.306351	−	0.951919i	$-0.400892\pi$
$659$	15.7287			0.612701			0.306351	+	0.951919i	$0.400892\pi$
$660$	3.33731	+	0.917550i	0.129904	+	0.0357156i
$661$	−10.8437			−0.421770			−0.210885	−	0.977511i	$-0.567635\pi$
$661$	−10.8437			−0.421770			−0.210885	+	0.977511i	$0.567635\pi$
$662$	−16.1426	+	11.7283i	−0.627399	+	0.455832i
$663$	−4.06763	−	10.2115i	−0.157974	−	0.396582i
$664$	−4.10336	+	12.6288i	−0.159241	+	0.490094i
$665$	1.32228	−	1.81997i	0.0512760	−	0.0705754i
$666$	31.9018	+	17.3656i	1.23617	+	0.672902i
$667$	18.1543	+	5.89869i	0.702938	+	0.228398i
$668$	2.38287	+	7.33372i	0.0921960	+	0.283750i
$669$	−18.0038	−	21.6708i	−0.696066	−	0.837842i
$670$			2.17702i			0.0841055i
$671$	7.75645	−	22.4092i	0.299435	−	0.865096i
$672$	1.72840	−	0.112355i	0.0666746	−	0.00433419i
$673$	−29.5022	−	40.6064i	−1.13723	−	1.56526i	−0.773550	−	0.633735i	$-0.781521\pi$
$673$	−29.5022	−	40.6064i	−1.13723	−	1.56526i	−0.363678	−	0.931525i	$-0.618479\pi$
$674$	−13.2493	+	4.30496i	−0.510344	+	0.165821i
$675$	23.9229	+	2.87048i	0.920792	+	0.110485i
$676$	−9.40768	−	6.83508i	−0.361834	−	0.262888i
$677$	−3.46477	−	2.51730i	−0.133162	−	0.0967479i	0.519210	−	0.854647i	$-0.326226\pi$
$677$	−3.46477	−	2.51730i	−0.133162	−	0.0967479i	−0.652372	+	0.757899i	$0.726226\pi$
$678$	1.68073	−	6.60304i	0.0645480	−	0.253588i
$679$	4.83455	−	1.57084i	0.185533	−	0.0602833i
$680$	−1.91910	−	2.64141i	−0.0735941	−	0.101294i
$681$	−1.05729	−	16.2647i	−0.0405154	−	0.623265i
$682$	−0.659365	+	34.5853i	−0.0252484	+	1.32434i
$683$			1.13148i			0.0432948i	0.999766	+	0.0216474i	$0.00689112\pi$
$683$			1.13148i			0.0432948i	−0.999766	+	0.0216474i	$0.993109\pi$
$684$	−7.70169	−	8.13334i	−0.294482	−	0.310986i
$685$	2.28160	+	7.02205i	0.0871755	+	0.268299i
$686$	−0.951057	−	0.309017i	−0.0363115	−	0.0117983i
$687$	−9.75965	+	15.4498i	−0.372354	+	0.589445i
$688$	3.07503	−	4.23242i	0.117235	−	0.161359i
$689$	3.22785	−	9.93430i	0.122971	−	0.378467i
$690$	−2.35904	+	0.939694i	−0.0898070	+	0.0357736i
$691$	40.4879	−	29.4162i	1.54023	−	1.11905i	0.590045	−	0.807370i	$-0.299110\pi$
$691$	40.4879	−	29.4162i	1.54023	−	1.11905i	0.950189	−	0.311675i	$-0.100890\pi$
$692$	10.2123			0.388215
$693$	−7.35381	+	6.70234i	−0.279348	+	0.254601i
$694$	−0.344235			−0.0130670
$695$	9.59819	−	6.97349i	0.364080	−	0.264520i
$696$	−12.6230	+	5.02821i	−0.478472	+	0.190594i
$697$	12.7124	−	39.1248i	0.481518	−	1.48196i
$698$	14.6633	−	20.1823i	0.555013	−	0.763910i
$699$	3.13294	−	4.95952i	0.118499	−	0.187586i
$700$	−4.41003	−	1.43291i	−0.166684	−	0.0541588i
$701$	5.33564	+	16.4214i	0.201524	+	0.620228i	0.999838	+	0.0179865i	$0.00572558\pi$
$701$	5.33564	+	16.4214i	0.201524	+	0.620228i	−0.798314	+	0.602242i	$0.794274\pi$
$702$	4.13782	−	4.46185i	0.156172	−	0.168402i
$703$			45.2056i			1.70496i
$704$	−2.00025	+	2.64556i	−0.0753874	+	0.0997082i
$705$	−0.655150	−	10.0784i	−0.0246744	−	0.379576i
$706$	8.94039	+	12.3054i	0.336476	+	0.463119i
$707$	−0.650120	+	0.211237i	−0.0244503	+	0.00794438i
$708$	2.74358	−	10.7787i	0.103110	−	0.405087i
$709$	2.73255	+	1.98532i	0.102623	+	0.0745601i	0.637913	−	0.770108i	$-0.279798\pi$
$709$	2.73255	+	1.98532i	0.102623	+	0.0745601i	−0.535290	+	0.844668i	$0.679798\pi$
$710$	2.35149	+	1.70846i	0.0882499	+	0.0641173i
$711$	30.7010	+	5.72415i	1.15138	+	0.214673i
$712$	10.4223	−	3.38640i	0.390591	−	0.126911i
$713$	−14.9171	−	20.5316i	−0.558650	−	0.768916i
$714$	9.36615	−	0.608848i	0.350519	−	0.0227856i
$715$	−2.23904	+	0.680604i	−0.0837352	+	0.0254532i
$716$		−	22.8416i		−	0.853630i
$717$	−14.2614	−	17.1662i	−0.532601	−	0.641082i
$718$	2.27481	+	7.00115i	0.0848952	+	0.261281i
$719$	19.3110	+	6.27452i	0.720178	+	0.234000i	0.646100	−	0.763252i	$-0.276399\pi$
$719$	19.3110	+	6.27452i	0.720178	+	0.234000i	0.0740776	+	0.997252i	$0.476399\pi$
$720$	0.864178	−	1.58756i	0.0322060	−	0.0591647i
$721$	0.359732	−	0.495129i	0.0133971	−	0.0184396i
$722$	−1.56338	+	4.81158i	−0.0581829	+	0.179069i
$723$	−10.1806	−	25.5577i	−0.378622	−	0.950502i
$724$	16.6131	−	12.0701i	0.617421	−	0.448582i
$725$	36.3762			1.35098
$726$	−0.510331	−	19.0457i	−0.0189402	−	0.706853i
$727$	−27.5547			−1.02195			−0.510973	−	0.859597i	$-0.670715\pi$
$727$	−27.5547			−1.02195			−0.510973	+	0.859597i	$0.670715\pi$
$728$	−0.947438	+	0.688354i	−0.0351144	+	0.0255121i
$729$	−17.4690	−	20.5873i	−0.646999	−	0.762491i
$730$	−0.273847	+	0.842813i	−0.0101355	+	0.0311939i
$731$	16.6635	−	22.9353i	0.616322	−	0.848294i
$732$	−10.4700	−	6.61390i	−0.386981	−	0.244457i
$733$	29.5186	+	9.59116i	1.09029	+	0.354258i	0.798360	−	0.602181i	$-0.205701\pi$
$733$	29.5186	+	9.59116i	1.09029	+	0.354258i	0.291933	+	0.956439i	$0.405701\pi$
$734$	5.67041	+	17.4517i	0.209299	+	0.644156i
$735$	−0.802701	+	0.666872i	−0.0296081	+	0.0245979i
$736$		−	2.43328i		−	0.0896919i
$737$	11.4658	−	3.48529i	0.422349	−	0.128382i
$738$	22.5830	−	2.94848i	0.831290	−	0.108535i
$739$	26.6469	+	36.6763i	0.980221	+	1.34916i	0.936710	+	0.350105i	$0.113854\pi$
$739$	26.6469	+	36.6763i	0.980221	+	1.34916i	0.0435106	+	0.999053i	$0.486146\pi$
$740$	−6.93773	+	2.25420i	−0.255036	+	0.0828662i
$741$	7.33949	+	1.86818i	0.269623	+	0.0686293i
$742$	7.21598	+	5.24272i	0.264907	+	0.192466i
$743$	−41.4506	−	30.1156i	−1.52067	−	1.10483i	−0.961152	−	0.276018i	$-0.910985\pi$
$743$	−41.4506	−	30.1156i	−1.52067	−	1.10483i	−0.559521	−	0.828816i	$-0.689015\pi$
$744$	17.5066	+	4.45611i	0.641824	+	0.163369i
$745$	−3.46898	+	1.12714i	−0.127094	+	0.0412953i
$746$	10.1444	+	13.9625i	0.371412	+	0.511205i
$747$	−39.5010	+	5.15733i	−1.44527	+	0.188697i
$748$	−10.8393	+	14.3362i	−0.396324	+	0.524183i
$749$		−	2.19390i		−	0.0801633i
$750$	−7.73561	+	6.42663i	−0.282465	+	0.234667i
$751$	7.81021	+	24.0374i	0.284999	+	0.877136i	0.986399	+	0.164368i	$0.0525586\pi$
$751$	7.81021	+	24.0374i	0.284999	+	0.877136i	−0.701400	+	0.712768i	$0.747441\pi$
$752$	9.20432	+	2.99067i	0.335647	+	0.109058i
$753$	−20.9425	−	13.2294i	−0.763187	−	0.482108i
$754$	5.39999	−	7.43245i	0.196656	−	0.270674i
$755$	1.37686	−	4.23754i	0.0501090	−	0.154220i
$756$	2.53166	+	4.53770i	0.0920755	+	0.165035i
$757$	0.893330	−	0.649042i	0.0324686	−	0.0235898i	−0.571433	−	0.820649i	$-0.693612\pi$
$757$	0.893330	−	0.649042i	0.0324686	−	0.0235898i	0.603901	+	0.797059i	$0.293612\pi$
$758$	23.4414			0.851429
$759$	8.72583	+	10.9201i	0.316728	+	0.396373i
$760$	2.24961			0.0816018
$761$	15.4278	−	11.2089i	0.559257	−	0.406324i	−0.271930	−	0.962317i	$-0.587662\pi$
$761$	15.4278	−	11.2089i	0.559257	−	0.406324i	0.831187	+	0.555993i	$0.187662\pi$
$762$	−3.95832	−	9.93708i	−0.143395	−	0.359983i
$763$	−3.43826	+	10.5819i	−0.124473	+	0.383089i
$764$	−12.9354	+	17.8041i	−0.467987	+	0.644129i
$765$	4.68295	−	8.60291i	0.169312	−	0.311039i
$766$	−0.336950	−	0.109482i	−0.0121745	−	0.00395574i
$767$	2.32387	+	7.15214i	0.0839101	+	0.258249i
$768$	1.10683	+	1.33227i	0.0399392	+	0.0480740i
$769$		−	50.3585i		−	1.81597i	−0.418997	−	0.907987i	$-0.637618\pi$
$769$		−	50.3585i		−	1.81597i	0.418997	−	0.907987i	$-0.362382\pi$
$770$	0.0380903	−	1.99793i	0.00137268	−	0.0720003i
$771$	3.23372	−	0.210209i	0.116460	−	0.00757048i
$772$	−10.5571	−	14.5306i	−0.379960	−	0.522969i
$773$	−14.3730	+	4.67007i	−0.516961	+	0.167971i	−0.555866	−	0.831272i	$-0.687613\pi$
$773$	−14.3730	+	4.67007i	−0.516961	+	0.167971i	0.0389046	+	0.999243i	$0.487613\pi$
$774$	15.4288	+	2.87667i	0.554576	+	0.103400i
$775$	−39.1262	−	28.4268i	−1.40545	−	1.02112i
$776$	4.11251	+	2.98791i	0.147630	+	0.107260i
$777$	5.17286	−	20.3225i	0.185575	−	0.729066i
$778$	2.95207	−	0.959185i	0.105837	−	0.0343885i
$779$	16.6607	+	22.9314i	0.596930	+	0.821604i
$780$	0.0792772	+	1.21955i	0.00283858	+	0.0436670i
$781$	5.23343	−	15.1199i	0.187267	−	0.541032i
$782$		−	13.1859i		−	0.471525i
$783$	−29.8885	−	27.7179i	−1.06813	−	0.990556i
$784$	−0.309017	−	0.951057i	−0.0110363	−	0.0339663i
$785$	−4.39807	−	1.42902i	−0.156974	−	0.0510039i
$786$	−12.3381	+	19.5315i	−0.440085	+	0.696665i
$787$	−3.20931	+	4.41724i	−0.114400	+	0.157458i	−0.862377	−	0.506267i	$-0.831025\pi$
$787$	−3.20931	+	4.41724i	−0.114400	+	0.157458i	0.747977	+	0.663724i	$0.231025\pi$
$788$	5.82334	−	17.9224i	0.207448	−	0.638459i
$789$	−27.7656	+	11.0601i	−0.988482	+	0.393750i
$790$	−5.07426	+	3.68666i	−0.180534	+	0.131166i
$791$	−3.93383			−0.139871
$792$	−9.74477	−	2.00982i	−0.346265	−	0.0714159i
$793$	8.37324			0.297342
$794$	17.1614	−	12.4685i	0.609034	−	0.442489i
$795$	8.64730	−	3.44455i	0.306688	−	0.122166i
$796$	−2.06919	+	6.36830i	−0.0733404	+	0.225719i
$797$	32.3417	−	44.5145i	1.14560	−	1.57679i	0.391292	−	0.920267i	$-0.372028\pi$
$797$	32.3417	−	44.5145i	1.14560	−	1.57679i	0.754310	−	0.656518i	$-0.227972\pi$
$798$	−3.45383	+	5.46749i	−0.122264	+	0.193547i
$799$	49.8779	+	16.2063i	1.76455	+	0.573338i
$800$	−1.43291	−	4.41003i	−0.0506609	−	0.155918i
$801$	22.6047	+	23.8716i	0.798697	+	0.843460i
$802$			2.78978i			0.0985106i
$803$	4.87730	+	0.0929853i	0.172116	+	0.00328138i
$804$	−0.405968	−	6.24517i	−0.0143174	−	0.220250i
$805$	0.861734	+	1.18607i	0.0303721	+	0.0418036i
$806$	−11.6164	+	3.77441i	−0.409172	+	0.132948i
$807$	11.0971	−	43.5970i	0.390637	−	1.53469i
$808$	−0.553025	−	0.401796i	−0.0194554	−	0.0141351i
$809$	−16.3229	−	11.8593i	−0.573884	−	0.416951i	0.262630	−	0.964897i	$-0.415410\pi$
$809$	−16.3229	−	11.8593i	−0.573884	−	0.416951i	−0.836514	+	0.547946i	$0.815410\pi$
$810$	5.41452	+	0.295406i	0.190247	+	0.0103795i
$811$	10.6455	−	3.45893i	0.373813	−	0.121459i	−0.116084	−	0.993239i	$-0.537034\pi$
$811$	10.6455	−	3.45893i	0.373813	−	0.121459i	0.489897	+	0.871780i	$0.337034\pi$
$812$	4.61105	+	6.34657i	0.161816	+	0.222721i
$813$	4.75410	−	0.309041i	0.166734	−	0.0108385i
$814$	22.9793	+	32.9305i	0.805423	+	1.15421i
$815$		−	9.45125i		−	0.331063i
$816$	5.99785	+	7.21950i	0.209967	+	0.252733i
$817$	6.03611	+	18.5772i	0.211177	+	0.649936i
$818$	−10.2746	−	3.33842i	−0.359243	−	0.116725i
$819$	−3.08574	−	1.67971i	−0.107825	−	0.0586937i
$820$	−2.68851	+	3.70041i	−0.0938867	+	0.129224i
$821$	−7.27931	+	22.4034i	−0.254050	+	0.781884i	0.739966	+	0.672644i	$0.234842\pi$
$821$	−7.27931	+	22.4034i	−0.254050	+	0.781884i	−0.994015	+	0.109240i	$0.965158\pi$
$822$	−7.85465	−	19.7186i	−0.273963	−	0.687763i
$823$	39.6293	−	28.7924i	1.38139	−	1.00364i	0.384643	−	0.923066i	$-0.374325\pi$
$823$	39.6293	−	28.7924i	1.38139	−	1.00364i	0.996749	−	0.0805740i	$-0.0256753\pi$
$824$	0.612013			0.0213205
$825$	22.2451	+	14.6529i	0.774477	+	0.510148i
$826$	−6.42150			−0.223433
$827$	−22.5193	+	16.3612i	−0.783073	+	0.568936i	−0.905900	−	0.423492i	$-0.860804\pi$
$827$	−22.5193	+	16.3612i	−0.783073	+	0.568936i	0.122827	+	0.992428i	$0.460804\pi$
$828$	6.59209	−	3.13560i	0.229091	−	0.108969i
$829$	−7.17320	+	22.0768i	−0.249136	+	0.766761i	0.745793	+	0.666178i	$0.232071\pi$
$829$	−7.17320	+	22.0768i	−0.249136	+	0.766761i	−0.994929	+	0.100583i	$0.967929\pi$
$830$	4.70261	−	6.47258i	0.163230	−	0.224667i
$831$	−2.19779	−	1.38835i	−0.0762405	−	0.0481614i
$832$	−1.11378	−	0.361889i	−0.0386134	−	0.0125462i
$833$	−1.67455	−	5.15374i	−0.0580198	−	0.178567i
$834$	−26.2338	+	21.7946i	−0.908401	+	0.754685i
$835$		−	4.64601i		−	0.160782i
$836$	−3.60150	−	11.8481i	−0.124560	−	0.409776i
$837$	10.4873	+	53.1702i	0.362496	+	1.83783i
$838$	13.1912	+	18.1561i	0.455683	+	0.627194i
$839$	31.4864	−	10.2305i	1.08703	−	0.353198i	0.289932	−	0.957047i	$-0.406367\pi$
$839$	31.4864	−	10.2305i	1.08703	−	0.353198i	0.797098	+	0.603849i	$0.206367\pi$
$840$	−1.01133	−	0.257421i	−0.0348941	−	0.00888188i
$841$	−26.3260	−	19.1270i	−0.907795	−	0.659551i
$842$	−28.4338	−	20.6583i	−0.979892	−	0.711933i
$843$	−11.9762	−	3.04840i	−0.412483	−	0.104993i
$844$	−9.67105	+	3.14231i	−0.332891	+	0.108163i
$845$	4.11819	+	5.66820i	0.141670	+	0.194992i
$846$	3.75883	+	28.7896i	0.129231	+	0.989808i
$847$	−10.5836	+	2.99796i	−0.363656	+	0.103011i
$848$			8.91945i			0.306295i
$849$	28.2420	−	23.4630i	0.969263	−	0.805249i
$850$	−7.76487	−	23.8978i	−0.266333	−	0.819688i
$851$	−28.0186	−	9.10380i	−0.960466	−	0.312074i
$852$	−7.06427	−	4.46252i	−0.242018	−	0.152883i
$853$	−30.1506	+	41.4988i	−1.03234	+	1.42089i	−0.129160	+	0.991624i	$0.541228\pi$
$853$	−30.1506	+	41.4988i	−1.03234	+	1.42089i	−0.903178	+	0.429267i	$0.858772\pi$
$854$	−2.20944	+	6.79997i	−0.0756056	+	0.232690i
$855$	2.89891	+	6.09449i	0.0991406	+	0.208427i
$856$	1.77490	−	1.28954i	0.0606649	−	0.0440756i
$857$	−20.2085			−0.690311			−0.345155	−	0.938546i	$-0.612174\pi$
$857$	−20.2085			−0.690311			−0.345155	+	0.938546i	$0.612174\pi$
$858$	6.29617	−	2.36997i	0.214948	−	0.0809095i
$859$	−30.0244			−1.02442			−0.512209	−	0.858861i	$-0.671173\pi$
$859$	−30.0244			−1.02442			−0.512209	+	0.858861i	$0.671173\pi$
$860$	−2.55006	+	1.85273i	−0.0869565	+	0.0631776i
$861$	−4.86589	−	12.2155i	−0.165829	−	0.416302i
$862$	−6.52195	+	20.0725i	−0.222139	+	0.683672i
$863$	−31.6686	+	43.5881i	−1.07801	+	1.48376i	−0.216320	+	0.976323i	$0.569405\pi$
$863$	−31.6686	+	43.5881i	−1.07801	+	1.48376i	−0.861692	+	0.507432i	$0.830595\pi$
$864$	−2.18301	+	4.71535i	−0.0742674	+	0.160419i
$865$	−5.85186	−	1.90138i	−0.198969	−	0.0646490i
$866$	−4.05937	−	12.4935i	−0.137943	−	0.424545i
$867$	13.6861	+	16.4737i	0.464804	+	0.559476i
$868$		−	10.4298i		−	0.354009i
$869$	27.5404	+	20.8227i	0.934243	+	0.706363i
$870$	8.16938	−	0.531051i	0.276968	−	0.0180043i
$871$	2.48720	+	3.42334i	0.0842756	+	0.115995i
$872$	−10.5819	+	3.43826i	−0.358347	+	0.116434i
$873$	−2.79517	+	14.9917i	−0.0946022	+	0.507391i
$874$	7.35010	+	5.34016i	0.248621	+	0.180634i
$875$	4.69744	+	3.41289i	0.158802	+	0.115377i
$876$	0.628412	−	2.46883i	0.0212321	−	0.0834140i
$877$	−10.5338	+	3.42264i	−0.355702	+	0.115574i	−0.481417	−	0.876492i	$-0.659878\pi$
$877$	−10.5338	+	3.42264i	−0.355702	+	0.115574i	0.125715	+	0.992066i	$0.459878\pi$
$878$	−3.75751	−	5.17177i	−0.126810	−	0.174539i
$879$	0.452399	+	6.95943i	0.0152590	+	0.234736i
$880$	1.63875	−	1.14354i	0.0552421	−	0.0385486i
$881$			18.1004i			0.609817i	0.952382	+	0.304908i	$0.0986258\pi$
$881$			18.1004i			0.609817i	−0.952382	+	0.304908i	$0.901374\pi$
$882$	2.17834	−	2.06273i	0.0733484	−	0.0694557i
$883$	1.29950	+	3.99946i	0.0437318	+	0.134593i	0.970538	−	0.240946i	$-0.0774577\pi$
$883$	1.29950	+	3.99946i	0.0437318	+	0.134593i	−0.926807	+	0.375539i	$0.877458\pi$
$884$	−6.03553	−	1.96106i	−0.202997	−	0.0659577i
$885$	−3.57895	+	5.66557i	−0.120305	+	0.190446i
$886$	5.12319	−	7.05146i	0.172117	−	0.236899i
$887$	1.82412	−	5.61408i	0.0612481	−	0.188502i	−0.915751	−	0.401747i	$-0.868403\pi$
$887$	1.82412	−	5.61408i	0.0612481	−	0.188502i	0.976999	+	0.213245i	$0.0684031\pi$
$888$	19.4818	−	7.76034i	0.653766	−	0.260420i
$889$	−4.99616	+	3.62992i	−0.167566	+	0.121744i
$890$	−6.60266			−0.221322
$891$	−7.11252	−	28.9899i	−0.238278	−	0.971197i
$892$	−16.2661			−0.544630
$893$	−29.2339	+	21.2397i	−0.978276	+	0.710759i
$894$	9.74122	−	3.88030i	0.325795	−	0.129777i
$895$	−4.25276	+	13.0887i	−0.142154	+	0.437505i
$896$	0.587785	−	0.809017i	0.0196365	−	0.0270274i
$897$	−2.63598	+	4.17282i	−0.0880128	+	0.139326i
$898$	25.3607	+	8.24019i	0.846298	+	0.274979i
$899$	25.2835	+	77.8147i	0.843253	+	2.59527i
$900$	10.1009	−	9.56485i	0.336697	−	0.318828i
$901$			48.3342i			1.61024i
$902$	23.7933	+	8.23555i	0.792231	+	0.274214i
$903$	−0.587792	−	9.04224i	−0.0195605	−	0.300907i
$904$	−2.31225	−	3.18253i	−0.0769042	−	0.105850i
$905$	−11.7669	+	3.82329i	−0.391145	+	0.127091i
$906$	−3.15956	+	12.4129i	−0.104969	+	0.412391i
$907$	−24.1846	−	17.5711i	−0.803035	−	0.583439i	0.108768	−	0.994067i	$-0.465309\pi$
$907$	−24.1846	−	17.5711i	−0.803035	−	0.583439i	−0.911803	+	0.410628i	$0.865309\pi$
$908$	−7.61306	−	5.53121i	−0.252648	−	0.183560i
$909$	0.375877	−	2.01599i	0.0124671	−	0.0668661i
$910$	0.671061	−	0.218041i	0.0222455	−	0.00722799i
$911$	−1.31645	−	1.81194i	−0.0436160	−	0.0600323i	0.786652	−	0.617397i	$-0.211813\pi$
$911$	−1.31645	−	1.81194i	−0.0436160	−	0.0600323i	−0.830268	+	0.557364i	$0.811813\pi$
$912$	−6.45340	+	0.419504i	−0.213694	+	0.0138912i
$913$	−41.6181	−	14.4052i	−1.37736	−	0.476743i
$914$			13.6093i			0.450156i
$915$	4.76807	+	5.73924i	0.157628	+	0.189733i
$916$	3.26032	+	10.0342i	0.107724	+	0.331540i
$917$	12.6852	+	4.12167i	0.418902	+	0.136110i
$918$	−11.8296	+	25.5523i	−0.390436	+	0.843351i
$919$	9.27966	−	12.7724i	0.306108	−	0.421321i	−0.628055	−	0.778169i	$-0.716149\pi$
$919$	9.27966	−	12.7724i	0.306108	−	0.421321i	0.934162	+	0.356848i	$0.116149\pi$
$920$	−0.453040	+	1.39431i	−0.0149363	+	0.0459692i
$921$	0.435316	+	1.09283i	0.0143441	+	0.0360099i
$922$	−27.0842	+	19.6778i	−0.891971	+	0.648055i
$923$	5.64958			0.185958
$924$	0.263303	+	5.73853i	0.00866203	+	0.188784i
$925$	−56.1415			−1.84592
$926$	20.5487	−	14.9295i	0.675272	−	0.490614i
$927$	0.788657	+	1.65803i	0.0259029	+	0.0544568i
$928$	−2.42417	+	7.46084i	−0.0795774	+	0.244914i
$929$	−6.49484	+	8.93939i	−0.213089	+	0.293292i	−0.902160	−	0.431402i	$-0.858019\pi$
$929$	−6.49484	+	8.93939i	−0.213089	+	0.293292i	0.689071	+	0.724694i	$0.258019\pi$
$930$	−9.20197	−	5.81291i	−0.301744	−	0.190613i
$931$	3.55100	+	1.15379i	0.116379	+	0.0378139i
$932$	−1.04659	−	3.22108i	−0.0342823	−	0.105510i
$933$	14.0431	−	11.6668i	0.459750	−	0.381953i
$934$			6.32999i			0.207124i
$935$	8.88031	−	6.19679i	0.290417	−	0.202657i
$936$	−0.454842	−	3.48373i	−0.0148670	−	0.113869i
$937$	−27.3951	−	37.7061i	−0.894959	−	1.23181i	−0.972048	−	0.234782i	$-0.924562\pi$
$937$	−27.3951	−	37.7061i	−0.894959	−	1.23181i	0.0770888	−	0.997024i	$-0.475438\pi$
$938$	−3.43641	+	1.11656i	−0.112203	+	0.0364569i
$939$	−23.2525	−	5.91866i	−0.758818	−	0.193148i
$940$	−4.71743	−	3.42741i	−0.153866	−	0.111790i
$941$	1.49244	+	1.08432i	0.0486520	+	0.0353478i	0.611846	−	0.790977i	$-0.290427\pi$
$941$	1.49244	+	1.08432i	0.0486520	+	0.0353478i	−0.563193	+	0.826325i	$0.690427\pi$
$942$	12.8831	+	3.27925i	0.419755	+	0.106844i
$943$	−17.5682	+	5.70827i	−0.572101	+	0.185887i
$944$	−3.77446	−	5.19510i	−0.122848	−	0.169086i
$945$	−0.605835	−	3.07154i	−0.0197078	−	0.0999173i
$946$	13.8404	+	10.4644i	0.449990	+	0.340229i
$947$			20.5665i			0.668323i	0.942516	+	0.334161i	$0.108453\pi$
$947$			20.5665i			0.668323i	−0.942516	+	0.334161i	$0.891547\pi$
$948$	13.8689	−	11.5221i	0.450442	−	0.374221i
$949$	0.532277	+	1.63818i	0.0172785	+	0.0531776i
$950$	16.4659	+	5.35010i	0.534225	+	0.173580i
$951$	13.6046	+	8.59408i	0.441160	+	0.278682i
$952$	3.18519	−	4.38403i	0.103233	−	0.142087i
$953$	3.41802	−	10.5196i	0.110721	−	0.340763i	−0.880310	−	0.474399i	$-0.842665\pi$
$953$	3.41802	−	10.5196i	0.110721	−	0.340763i	0.991030	+	0.133636i	$0.0426654\pi$
$954$	−24.1640	+	11.4939i	−0.782339	+	0.372128i
$955$	10.7271	−	7.79369i	0.347121	−	0.252198i
$956$	−12.8849			−0.416728
$957$	−15.8756	−	42.1759i	−0.513187	−	1.36335i
$958$	−14.1943			−0.458598
$959$	−9.91408	+	7.20300i	−0.320142	+	0.232597i
$960$	−0.386184	−	0.969488i	−0.0124640	−	0.0312901i
$961$	24.0353	−	73.9729i	0.775331	−	2.38622i
$962$	−8.33413	+	11.4709i	−0.268703	+	0.369838i
$963$	5.78074	+	3.14671i	0.186282	+	0.101401i
$964$	−15.1060	−	4.90823i	−0.486531	−	0.158083i
$965$	3.34405	+	10.2919i	0.107649	+	0.331308i
$966$	−2.69322	−	3.24178i	−0.0866529	−	0.104302i
$967$		−	3.35542i		−	0.107903i	−0.998544	−	0.0539515i	$-0.982818\pi$
$967$		−	3.35542i		−	0.107903i	0.998544	−	0.0539515i	$-0.0171816\pi$
$968$	−8.64628	−	6.80014i	−0.277902	−	0.218565i
$969$	−34.9708	+	2.27328i	−1.12342	+	0.0730283i
$970$	−1.80024	−	2.47782i	−0.0578022	−	0.0795579i
$971$	−11.7681	+	3.82370i	−0.377657	+	0.122708i	−0.491694	−	0.870768i	$-0.663622\pi$
$971$	−11.7681	+	3.82370i	−0.377657	+	0.122708i	0.114036	+	0.993477i	$0.463622\pi$
$972$	−15.5876	+	0.162269i	−0.499973	+	0.00520479i
$973$	15.9304	+	11.5741i	0.510706	+	0.371049i
$974$	5.07698	+	3.68864i	0.162677	+	0.118192i
$975$	−2.32012	+	9.11502i	−0.0743033	+	0.291914i
$976$	−6.79997	+	2.20944i	−0.217662	+	0.0707225i
$977$	10.1543	+	13.9762i	0.324865	+	0.447139i	0.939945	−	0.341326i	$-0.110876\pi$
$977$	10.1543	+	13.9762i	0.324865	+	0.447139i	−0.615080	+	0.788465i	$0.710876\pi$
$978$	1.76246	+	27.1126i	0.0563573	+	0.866966i
$979$	10.5705	+	34.7746i	0.337834	+	1.11140i
$980$			0.602508i			0.0192464i
$981$	−22.9508	−	24.2371i	−0.732763	−	0.773831i
$982$	12.7154	+	39.1341i	0.405766	+	1.24882i
$983$	−34.6905	−	11.2716i	−1.10646	−	0.359509i	−0.301872	−	0.953349i	$-0.597611\pi$
$983$	−34.6905	−	11.2716i	−1.10646	−	0.359509i	−0.804584	+	0.593839i	$0.797611\pi$
$984$	7.02242	−	11.1167i	0.223867	−	0.354386i
$985$	−6.67376	+	9.18565i	−0.212644	+	0.292679i
$986$	−13.1365	+	40.4300i	−0.418352	+	1.28755i
$987$	15.5728	−	6.20323i	0.495686	−	0.197451i
$988$	3.53749	−	2.57013i	0.112542	−	0.0817668i
$989$	−12.7298			−0.404785
$990$	5.20974	+	2.96600i	0.165576	+	0.0942656i
$991$	54.3252			1.72570			0.862849	−	0.505462i	$-0.168678\pi$
$991$	54.3252			1.72570			0.862849	+	0.505462i	$0.168678\pi$
$992$	8.43785	−	6.13045i	0.267902	−	0.194642i
$993$	−32.1067	+	12.7893i	−1.01887	+	0.405856i
$994$	−1.49075	+	4.58807i	−0.0472838	+	0.145525i
$995$	2.37137	−	3.26391i	0.0751774	−	0.103473i
$996$	−12.2833	+	19.4447i	−0.389211	+	0.616129i
$997$	−13.4389	−	4.36655i	−0.425613	−	0.138290i	0.0883754	−	0.996087i	$-0.471832\pi$
$997$	−13.4389	−	4.36655i	−0.425613	−	0.138290i	−0.513988	+	0.857797i	$0.671832\pi$
$998$	6.11304	+	18.8140i	0.193505	+	0.595546i
$999$	46.1286	+	42.7786i	1.45945	+	1.35346i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	462.2.w.b.239.11	yes	48
3.2	odd	2		462.2.w.a.239.1	yes	48
11.7	odd	10		462.2.w.a.29.1	✓	48
33.29	even	10	inner	462.2.w.b.29.11	yes	48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
462.2.w.a.29.1	✓	48	11.7	odd	10
462.2.w.a.239.1	yes	48	3.2	odd	2
462.2.w.b.29.11	yes	48	33.29	even	10	inner
462.2.w.b.239.11	yes	48	1.1	even	1	trivial

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:	\( N \)	\(=\)	\( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	462.w (of order \(10\), degree \(4\), minimal)

\(f(q)\)	\(=\)	\(q+(0.809017 - 0.587785i) q^{2} +(1.60909 - 0.640962i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.354145 + 0.487439i) q^{5} +(0.925033 - 1.46435i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.17834 - 2.06273i) q^{9} +O(q^{10})\)	\(q+(0.809017 - 0.587785i) q^{2} +(1.60909 - 0.640962i) q^{3} +(0.309017 - 0.951057i) q^{4} +(-0.354145 + 0.487439i) q^{5} +(0.925033 - 1.46435i) q^{6} +(-0.951057 - 0.309017i) q^{7} +(-0.309017 - 0.951057i) q^{8} +(2.17834 - 2.06273i) q^{9} +0.602508i q^{10} +(3.17326 - 0.964582i) q^{11} +(-0.112355 - 1.72840i) q^{12} +(0.688354 + 0.947438i) q^{13} +(-0.951057 + 0.309017i) q^{14} +(-0.257421 + 1.01133i) q^{15} +(-0.809017 - 0.587785i) q^{16} +(-4.38403 - 3.18519i) q^{17} +(0.549869 - 2.94918i) q^{18} +(3.55100 - 1.15379i) q^{19} +(0.354145 + 0.487439i) q^{20} +(-1.72840 + 0.112355i) q^{21} +(2.00025 - 2.64556i) q^{22} +2.43328i q^{23} +(-1.10683 - 1.33227i) q^{24} +(1.43291 + 4.41003i) q^{25} +(1.11378 + 0.361889i) q^{26} +(2.18301 - 4.71535i) q^{27} +(-0.587785 + 0.809017i) q^{28} +(2.42417 - 7.46084i) q^{29} +(0.386184 + 0.969488i) q^{30} +(-8.43785 + 6.13045i) q^{31} -1.00000 q^{32} +(4.48780 - 3.58604i) q^{33} -5.41896 q^{34} +(0.487439 - 0.354145i) q^{35} +(-1.28863 - 2.70914i) q^{36} +(-3.74137 + 11.5148i) q^{37} +(2.19464 - 3.02066i) q^{38} +(1.71489 + 1.08330i) q^{39} +(0.573019 + 0.186185i) q^{40} +(2.34591 + 7.21998i) q^{41} +(-1.33227 + 1.10683i) q^{42} +5.23156i q^{43} +(0.0632196 - 3.31602i) q^{44} +(0.234008 + 1.79231i) q^{45} +(1.43025 + 1.96856i) q^{46} +(-9.20432 + 2.99067i) q^{47} +(-1.67853 - 0.427250i) q^{48} +(0.809017 + 0.587785i) q^{49} +(3.75140 + 2.72555i) q^{50} +(-9.09588 - 2.31525i) q^{51} +(1.11378 - 0.361889i) q^{52} +(-5.24272 - 7.21598i) q^{53} +(-1.00552 - 5.09793i) q^{54} +(-0.653620 + 1.88837i) q^{55} +1.00000i q^{56} +(4.97434 - 4.13260i) q^{57} +(-2.42417 - 7.46084i) q^{58} +(6.10721 + 1.98435i) q^{59} +(0.882281 + 0.557339i) q^{60} +(4.20261 - 5.78440i) q^{61} +(-3.22297 + 9.91928i) q^{62} +(-2.70914 + 1.28863i) q^{63} +(-0.809017 + 0.587785i) q^{64} -0.705595 q^{65} +(1.52289 - 5.53903i) q^{66} +3.61326 q^{67} +(-4.38403 + 3.18519i) q^{68} +(1.55964 + 3.91536i) q^{69} +(0.186185 - 0.573019i) q^{70} +(2.83558 - 3.90284i) q^{71} +(-2.63492 - 1.43430i) q^{72} +(1.39884 + 0.454511i) q^{73} +(3.74137 + 11.5148i) q^{74} +(5.13234 + 6.17770i) q^{75} -3.73374i q^{76} +(-3.31602 - 0.0632196i) q^{77} +(2.02413 - 0.131579i) q^{78} +(6.11887 + 8.42190i) q^{79} +(0.573019 - 0.186185i) q^{80} +(0.490294 - 8.98664i) q^{81} +(6.14168 + 4.46220i) q^{82} +(-10.7427 - 7.80506i) q^{83} +(-0.427250 + 1.67853i) q^{84} +(3.10517 - 1.00893i) q^{85} +(3.07503 + 4.23242i) q^{86} +(-0.881402 - 13.5590i) q^{87} +(-1.89796 - 2.71988i) q^{88} +10.9586i q^{89} +(1.24281 + 1.31246i) q^{90} +(-0.361889 - 1.11378i) q^{91} +(2.31419 + 0.751925i) q^{92} +(-9.64786 + 15.2728i) q^{93} +(-5.68858 + 7.82966i) q^{94} +(-0.695166 + 2.13950i) q^{95} +(-1.60909 + 0.640962i) q^{96} +(-4.11251 + 2.98791i) q^{97} +1.00000 q^{98} +(4.92276 - 8.64676i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9}+O(q^{10}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9	\( 48 q + 12 q^{2} - 4 q^{3} - 12 q^{4} + 4 q^{6} + 12 q^{8} + 10 q^{9} + 8 q^{11} + 6 q^{12} - 24 q^{15} - 12 q^{16} + 24 q^{17} + 10 q^{18} + 30 q^{19} - 8 q^{22} - 6 q^{24} + 18 q^{25} + 20 q^{26} + 38 q^{27} - 8 q^{29} - 36 q^{30} - 32 q^{31} - 48 q^{32} + 24 q^{33} - 4 q^{34} - 6 q^{35} - 20 q^{37} - 20 q^{38} - 34 q^{39} - 22 q^{44} + 12 q^{45} + 20 q^{46} - 20 q^{47} - 4 q^{48} + 12 q^{49} - 28 q^{50} + 2 q^{51} + 20 q^{52} - 20 q^{53} - 18 q^{54} + 16 q^{55} + 12 q^{57} + 8 q^{58} - 30 q^{59} - 4 q^{60} - 20 q^{61} - 8 q^{62} - 4 q^{63} - 12 q^{64} + 46 q^{66} + 36 q^{67} + 24 q^{68} + 30 q^{69} - 4 q^{70} - 10 q^{72} - 20 q^{73} + 20 q^{74} + 40 q^{75} + 16 q^{77} - 16 q^{78} - 20 q^{79} - 54 q^{81} - 10 q^{82} + 46 q^{83} - 10 q^{84} + 10 q^{85} + 30 q^{86} - 8 q^{87} - 8 q^{88} - 62 q^{90} - 36 q^{91} - 10 q^{92} + 44 q^{93} - 50 q^{95} + 4 q^{96} - 2 q^{97} + 48 q^{98} - 26 q^{99}+O(q^{100}) \) 48 * q + 12 * q^2 - 4 * q^3 - 12 * q^4 + 4 * q^6 + 12 * q^8 + 10 * q^9 + 8 * q^11 + 6 * q^12 - 24 * q^15 - 12 * q^16 + 24 * q^17 + 10 * q^18 + 30 * q^19 - 8 * q^22 - 6 * q^24 + 18 * q^25 + 20 * q^26 + 38 * q^27 - 8 * q^29 - 36 * q^30 - 32 * q^31 - 48 * q^32 + 24 * q^33 - 4 * q^34 - 6 * q^35 - 20 * q^37 - 20 * q^38 - 34 * q^39 - 22 * q^44 + 12 * q^45 + 20 * q^46 - 20 * q^47 - 4 * q^48 + 12 * q^49 - 28 * q^50 + 2 * q^51 + 20 * q^52 - 20 * q^53 - 18 * q^54 + 16 * q^55 + 12 * q^57 + 8 * q^58 - 30 * q^59 - 4 * q^60 - 20 * q^61 - 8 * q^62 - 4 * q^63 - 12 * q^64 + 46 * q^66 + 36 * q^67 + 24 * q^68 + 30 * q^69 - 4 * q^70 - 10 * q^72 - 20 * q^73 + 20 * q^74 + 40 * q^75 + 16 * q^77 - 16 * q^78 - 20 * q^79 - 54 * q^81 - 10 * q^82 + 46 * q^83 - 10 * q^84 + 10 * q^85 + 30 * q^86 - 8 * q^87 - 8 * q^88 - 62 * q^90 - 36 * q^91 - 10 * q^92 + 44 * q^93 - 50 * q^95 + 4 * q^96 - 2 * q^97 + 48 * q^98 - 26 * q^99

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