LMFDB - Embedded newform 266.2.u.d.253.4

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [266,2,Mod(43,266)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(266, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 16]))

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

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

chi := DirichletCharacter("266.43");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 266 = 2 \cdot 7 \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	266.u (of order $9$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$2.12402069377$
Analytic rank:	$0$
Dimension:	$24$
Relative dimension:	$4$ over $\Q(\zeta_{9})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label			253.4
Character	$\chi$	$=$	266.253
Dual form			266.2.u.d.225.4

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-0.766044 + 0.642788i) q^{2} +(2.80180 + 1.01977i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.749009 - 4.24784i) q^{5} +(-2.80180 + 1.01977i) q^{6} +(-0.500000 + 0.866025i) q^{7} +(0.500000 + 0.866025i) q^{8} +(4.51201 + 3.78603i) q^{9} +O(q^{10})$	\(q+(-0.766044 + 0.642788i) q^{2} +(2.80180 + 1.01977i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.749009 - 4.24784i) q^{5} +(-2.80180 + 1.01977i) q^{6} +(-0.500000 + 0.866025i) q^{7} +(0.500000 + 0.866025i) q^{8} +(4.51201 + 3.78603i) q^{9} +(3.30423 + 2.77258i) q^{10} +(-0.181133 - 0.313732i) q^{11} +(1.49081 - 2.58215i) q^{12} +(4.92749 - 1.79346i) q^{13} +(-0.173648 - 0.984808i) q^{14} +(2.23326 - 12.6654i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-3.54678 + 2.97611i) q^{17} -5.89001 q^{18} +(3.76824 + 2.19097i) q^{19} -4.31337 q^{20} +(-2.28405 + 1.91654i) q^{21} +(0.340419 + 0.123902i) q^{22} +(0.309174 - 1.75342i) q^{23} +(0.517752 + 2.93632i) q^{24} +(-12.7847 + 4.65324i) q^{25} +(-2.62186 + 4.54120i) q^{26} +(4.30845 + 7.46246i) q^{27} +(0.766044 + 0.642788i) q^{28} +(-1.59719 - 1.34020i) q^{29} +(6.43040 + 11.1378i) q^{30} +(-1.01045 + 1.75015i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.187564 - 1.06373i) q^{33} +(0.803991 - 4.55966i) q^{34} +(4.05324 + 1.47526i) q^{35} +(4.51201 - 3.78603i) q^{36} -7.44807 q^{37} +(-4.29497 + 0.743804i) q^{38} +15.6348 q^{39} +(3.30423 - 2.77258i) q^{40} +(-2.55002 - 0.928130i) q^{41} +(0.517752 - 2.93632i) q^{42} +(0.689615 + 3.91100i) q^{43} +(-0.340419 + 0.123902i) q^{44} +(12.7029 - 22.0021i) q^{45} +(0.890232 + 1.54193i) q^{46} +(-2.50764 - 2.10416i) q^{47} +(-2.28405 - 1.91654i) q^{48} +(-0.500000 - 0.866025i) q^{49} +(6.80259 - 11.7824i) q^{50} +(-12.9723 + 4.72154i) q^{51} +(-0.910564 - 5.16406i) q^{52} +(-2.04006 + 11.5698i) q^{53} +(-8.09724 - 2.94715i) q^{54} +(-1.19701 + 1.00441i) q^{55} -1.00000 q^{56} +(8.32358 + 9.98140i) q^{57} +2.08498 q^{58} +(-0.595521 + 0.499701i) q^{59} +(-12.0852 - 4.39865i) q^{60} +(-1.86536 + 10.5790i) q^{61} +(-0.350926 - 1.99020i) q^{62} +(-5.53480 + 2.01450i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-11.3091 - 19.5879i) q^{65} +(0.827433 + 0.694299i) q^{66} +(2.00114 + 1.67916i) q^{67} +(2.31500 + 4.00970i) q^{68} +(2.65433 - 4.59743i) q^{69} +(-4.05324 + 1.47526i) q^{70} +(-2.52537 - 14.3221i) q^{71} +(-1.02279 + 5.80053i) q^{72} +(-2.46180 - 0.896023i) q^{73} +(5.70555 - 4.78753i) q^{74} -40.5654 q^{75} +(2.81203 - 3.33054i) q^{76} +0.362266 q^{77} +(-11.9769 + 10.0498i) q^{78} +(0.521100 + 0.189665i) q^{79} +(-0.749009 + 4.24784i) q^{80} +(1.39304 + 7.90035i) q^{81} +(2.55002 - 0.928130i) q^{82} +(2.53155 - 4.38478i) q^{83} +(1.49081 + 2.58215i) q^{84} +(15.2986 + 12.8370i) q^{85} +(-3.04222 - 2.55272i) q^{86} +(-3.10830 - 5.38374i) q^{87} +(0.181133 - 0.313732i) q^{88} +(6.60293 - 2.40327i) q^{89} +(4.41167 + 25.0199i) q^{90} +(-0.910564 + 5.16406i) q^{91} +(-1.67309 - 0.608955i) q^{92} +(-4.61583 + 3.87315i) q^{93} +3.27349 q^{94} +(6.48443 - 17.6480i) q^{95} +2.98161 q^{96} +(-1.06371 + 0.892561i) q^{97} +(0.939693 + 0.342020i) q^{98} +(0.370522 - 2.10134i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9}+O(q^{10}) $ 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9	$ 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9} + 9 q^{10} - 3 q^{11} + 3 q^{12} + 6 q^{13} - 24 q^{15} - 15 q^{17} - 42 q^{18} + 30 q^{19} + 6 q^{20} - 9 q^{22} - 24 q^{23} - 6 q^{25} + 6 q^{26} + 21 q^{27} + 27 q^{29} + 6 q^{30} + 3 q^{31} + 15 q^{33} - 30 q^{34} + 9 q^{35} + 6 q^{36} - 54 q^{37} + 3 q^{38} + 54 q^{39} + 9 q^{40} - 15 q^{41} + 6 q^{43} + 9 q^{44} - 30 q^{45} + 12 q^{46} + 3 q^{47} - 12 q^{49} + 33 q^{50} - 39 q^{51} - 3 q^{52} - 33 q^{53} - 18 q^{54} - 15 q^{55} - 24 q^{56} + 87 q^{57} + 12 q^{58} + 66 q^{59} + 3 q^{60} - 72 q^{61} - 39 q^{62} - 12 q^{63} - 12 q^{64} - 9 q^{65} + 30 q^{66} - 30 q^{67} - 3 q^{68} + 18 q^{69} - 9 q^{70} + 45 q^{71} - 6 q^{72} - 27 q^{73} + 6 q^{74} - 66 q^{75} + 9 q^{76} + 6 q^{77} - 18 q^{78} + 12 q^{79} + 24 q^{81} + 15 q^{82} - 9 q^{83} + 3 q^{84} + 78 q^{85} + 30 q^{86} + 45 q^{87} + 3 q^{88} - 48 q^{89} - 3 q^{90} - 3 q^{91} - 6 q^{92} - 3 q^{93} - 42 q^{94} - 3 q^{95} + 6 q^{96} - 21 q^{97} - 150 q^{99}+O(q^{100}) $ 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9 + 9 * q^10 - 3 * q^11 + 3 * q^12 + 6 * q^13 - 24 * q^15 - 15 * q^17 - 42 * q^18 + 30 * q^19 + 6 * q^20 - 9 * q^22 - 24 * q^23 - 6 * q^25 + 6 * q^26 + 21 * q^27 + 27 * q^29 + 6 * q^30 + 3 * q^31 + 15 * q^33 - 30 * q^34 + 9 * q^35 + 6 * q^36 - 54 * q^37 + 3 * q^38 + 54 * q^39 + 9 * q^40 - 15 * q^41 + 6 * q^43 + 9 * q^44 - 30 * q^45 + 12 * q^46 + 3 * q^47 - 12 * q^49 + 33 * q^50 - 39 * q^51 - 3 * q^52 - 33 * q^53 - 18 * q^54 - 15 * q^55 - 24 * q^56 + 87 * q^57 + 12 * q^58 + 66 * q^59 + 3 * q^60 - 72 * q^61 - 39 * q^62 - 12 * q^63 - 12 * q^64 - 9 * q^65 + 30 * q^66 - 30 * q^67 - 3 * q^68 + 18 * q^69 - 9 * q^70 + 45 * q^71 - 6 * q^72 - 27 * q^73 + 6 * q^74 - 66 * q^75 + 9 * q^76 + 6 * q^77 - 18 * q^78 + 12 * q^79 + 24 * q^81 + 15 * q^82 - 9 * q^83 + 3 * q^84 + 78 * q^85 + 30 * q^86 + 45 * q^87 + 3 * q^88 - 48 * q^89 - 3 * q^90 - 3 * q^91 - 6 * q^92 - 3 * q^93 - 42 * q^94 - 3 * q^95 + 6 * q^96 - 21 * q^97 - 150 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/266\mathbb{Z}\right)^\times$.

$n$	$115$	$211$
$\chi(n)$	$1$	$e\left(\frac{7}{9}\right)$

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 $

$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$2$	−0.766044	+	0.642788i	−0.541675	+	0.454519i
$3$	2.80180	+	1.01977i	1.61762	+	0.588765i	0.982926	−	0.183999i	$-0.0589043\pi$
$3$	2.80180	+	1.01977i	1.61762	+	0.588765i	0.634693	+	0.772764i	$0.281126\pi$
$4$	0.173648	−	0.984808i	0.0868241	−	0.492404i
$5$	−0.749009	−	4.24784i	−0.334967	−	1.89969i	−0.427557	−	0.903988i	$-0.640626\pi$
$5$	−0.749009	−	4.24784i	−0.334967	−	1.89969i	0.0925898	−	0.995704i	$-0.470485\pi$
$6$	−2.80180	+	1.01977i	−1.14383	+	0.416320i
$7$	−0.500000	+	0.866025i	−0.188982	+	0.327327i
$7$	−0.500000	+	0.866025i	−0.188982	+	0.327327i
$8$	0.500000	+	0.866025i	0.176777	+	0.306186i
$9$	4.51201	+	3.78603i	1.50400	+	1.26201i
$10$	3.30423	+	2.77258i	1.04489	+	0.876767i
$11$	−0.181133	−	0.313732i	−0.0546137	−	0.0945937i	0.837426	−	0.546551i	$-0.184059\pi$
$11$	−0.181133	−	0.313732i	−0.0546137	−	0.0945937i	−0.892040	+	0.451957i	$0.850726\pi$
$12$	1.49081	−	2.58215i	0.430359	−	0.745403i
$13$	4.92749	−	1.79346i	1.36664	−	0.497416i	0.448539	−	0.893763i	$-0.351944\pi$
$13$	4.92749	−	1.79346i	1.36664	−	0.497416i	0.918101	+	0.396347i	$0.129722\pi$
$14$	−0.173648	−	0.984808i	−0.0464094	−	0.263201i
$15$	2.23326	−	12.6654i	0.576624	−	3.27020i
$16$	−0.939693	−	0.342020i	−0.234923	−	0.0855050i
$17$	−3.54678	+	2.97611i	−0.860221	+	0.721812i	−0.962016	−	0.272994i	$-0.911986\pi$
$17$	−3.54678	+	2.97611i	−0.860221	+	0.721812i	0.101794	+	0.994805i	$0.467542\pi$
$18$	−5.89001			−1.38829
$19$	3.76824	+	2.19097i	0.864495	+	0.502642i
$19$	3.76824	+	2.19097i	0.864495	+	0.502642i
$20$	−4.31337			−0.964499
$21$	−2.28405	+	1.91654i	−0.498420	+	0.418224i
$22$	0.340419	+	0.123902i	0.0725775	+	0.0264161i
$23$	0.309174	−	1.75342i	0.0644673	−	0.365612i	−0.935459	−	0.353436i	$-0.885013\pi$
$23$	0.309174	−	1.75342i	0.0644673	−	0.365612i	0.999926	−	0.0121759i	$-0.00387581\pi$
$24$	0.517752	+	2.93632i	0.105686	+	0.599373i
$25$	−12.7847	+	4.65324i	−2.55694	+	0.930649i
$26$	−2.62186	+	4.54120i	−0.514190	+	0.890603i
$27$	4.30845	+	7.46246i	0.829162	+	1.43615i
$28$	0.766044	+	0.642788i	0.144769	+	0.121475i
$29$	−1.59719	−	1.34020i	−0.296591	−	0.248869i	0.482333	−	0.875988i	$-0.339790\pi$
$29$	−1.59719	−	1.34020i	−0.296591	−	0.248869i	−0.778923	+	0.627119i	$0.784234\pi$
$30$	6.43040	+	11.1378i	1.17403	+	2.03347i
$31$	−1.01045	+	1.75015i	−0.181482	+	0.314337i	−0.942386	−	0.334529i	$-0.891423\pi$
$31$	−1.01045	+	1.75015i	−0.181482	+	0.314337i	0.760903	+	0.648865i	$0.224756\pi$
$32$	0.939693	−	0.342020i	0.166116	−	0.0604612i
$33$	−0.187564	−	1.06373i	−0.0326507	−	0.185171i
$34$	0.803991	−	4.55966i	0.137883	−	0.781975i
$35$	4.05324	+	1.47526i	0.685123	+	0.249364i
$36$	4.51201	−	3.78603i	0.752002	−	0.631005i
$37$	−7.44807			−1.22446			−0.612228	−	0.790682i	$-0.709726\pi$
$37$	−7.44807			−1.22446			−0.612228	+	0.790682i	$0.709726\pi$
$38$	−4.29497	+	0.743804i	−0.696736	+	0.120661i
$39$	15.6348			2.50357
$40$	3.30423	−	2.77258i	0.522445	−	0.438384i
$41$	−2.55002	−	0.928130i	−0.398246	−	0.144950i	0.135130	−	0.990828i	$-0.456855\pi$
$41$	−2.55002	−	0.928130i	−0.398246	−	0.144950i	−0.533376	+	0.845878i	$0.679077\pi$
$42$	0.517752	−	2.93632i	0.0798908	−	0.453083i
$43$	0.689615	+	3.91100i	0.105165	+	0.596422i	0.991154	+	0.132715i	$0.0423696\pi$
$43$	0.689615	+	3.91100i	0.105165	+	0.596422i	−0.885989	+	0.463706i	$0.846519\pi$
$44$	−0.340419	+	0.123902i	−0.0513201	+	0.0186790i
$45$	12.7029	−	22.0021i	1.89364	−	3.27988i
$46$	0.890232	+	1.54193i	0.131258	+	0.227345i
$47$	−2.50764	−	2.10416i	−0.365776	−	0.306923i	0.441312	−	0.897354i	$-0.354513\pi$
$47$	−2.50764	−	2.10416i	−0.365776	−	0.306923i	−0.807088	+	0.590431i	$0.798958\pi$
$48$	−2.28405	−	1.91654i	−0.329674	−	0.276629i
$49$	−0.500000	−	0.866025i	−0.0714286	−	0.123718i
$50$	6.80259	−	11.7824i	0.962031	−	1.66629i
$51$	−12.9723	+	4.72154i	−1.81649	+	0.661148i
$52$	−0.910564	−	5.16406i	−0.126272	−	0.716127i
$53$	−2.04006	+	11.5698i	−0.280224	+	1.58923i	0.441637	+	0.897194i	$0.354398\pi$
$53$	−2.04006	+	11.5698i	−0.280224	+	1.58923i	−0.721861	+	0.692038i	$0.756713\pi$
$54$	−8.09724	−	2.94715i	−1.10189	−	0.401057i
$55$	−1.19701	+	1.00441i	−0.161405	+	0.135435i
$56$	−1.00000			−0.133631
$57$	8.32358	+	9.98140i	1.10249	+	1.32207i
$58$	2.08498			0.273772
$59$	−0.595521	+	0.499701i	−0.0775302	+	0.0650555i	−0.680729	−	0.732535i	$-0.738337\pi$
$59$	−0.595521	+	0.499701i	−0.0775302	+	0.0650555i	0.603199	+	0.797591i	$0.293892\pi$
$60$	−12.0852	−	4.39865i	−1.56019	−	0.567864i
$61$	−1.86536	+	10.5790i	−0.238835	+	1.35450i	0.595550	+	0.803318i	$0.296934\pi$
$61$	−1.86536	+	10.5790i	−0.238835	+	1.35450i	−0.834385	+	0.551182i	$0.814177\pi$
$62$	−0.350926	−	1.99020i	−0.0445676	−	0.252756i
$63$	−5.53480	+	2.01450i	−0.697320	+	0.253804i
$64$	−0.500000	+	0.866025i	−0.0625000	+	0.108253i
$65$	−11.3091	−	19.5879i	−1.40272	−	2.42958i
$66$	0.827433	+	0.694299i	0.101850	+	0.0854623i
$67$	2.00114	+	1.67916i	0.244478	+	0.205141i	0.756790	−	0.653658i	$-0.226766\pi$
$67$	2.00114	+	1.67916i	0.244478	+	0.205141i	−0.512312	+	0.858799i	$0.671211\pi$
$68$	2.31500	+	4.00970i	0.280735	+	0.486247i
$69$	2.65433	−	4.59743i	0.319544	−	0.553466i
$70$	−4.05324	+	1.47526i	−0.484455	+	0.176327i
$71$	−2.52537	−	14.3221i	−0.299706	−	1.69972i	−0.647435	−	0.762121i	$-0.724158\pi$
$71$	−2.52537	−	14.3221i	−0.299706	−	1.69972i	0.347729	−	0.937595i	$-0.386953\pi$
$72$	−1.02279	+	5.80053i	−0.120537	+	0.683599i
$73$	−2.46180	−	0.896023i	−0.288132	−	0.104872i	0.193911	−	0.981019i	$-0.437883\pi$
$73$	−2.46180	−	0.896023i	−0.288132	−	0.104872i	−0.482043	+	0.876148i	$0.660105\pi$
$74$	5.70555	−	4.78753i	0.663257	−	0.556539i
$75$	−40.5654			−4.68409
$76$	2.81203	−	3.33054i	0.322562	−	0.382039i
$77$	0.362266			0.0412841
$78$	−11.9769	+	10.0498i	−1.35612	+	1.13792i
$79$	0.521100	+	0.189665i	0.0586284	+	0.0213390i	0.371168	−	0.928566i	$-0.378957\pi$
$79$	0.521100	+	0.189665i	0.0586284	+	0.0213390i	−0.312539	+	0.949905i	$0.601180\pi$
$80$	−0.749009	+	4.24784i	−0.0837418	+	0.474923i
$81$	1.39304	+	7.90035i	0.154783	+	0.877817i
$82$	2.55002	−	0.928130i	0.281602	−	0.102495i
$83$	2.53155	−	4.38478i	0.277874	−	0.481292i	−0.692982	−	0.720955i	$-0.743703\pi$
$83$	2.53155	−	4.38478i	0.277874	−	0.481292i	0.970856	+	0.239663i	$0.0770368\pi$
$84$	1.49081	+	2.58215i	0.162660	+	0.281736i
$85$	15.2986	+	12.8370i	1.65937	+	1.39237i
$86$	−3.04222	−	2.55272i	−0.328051	−	0.275267i
$87$	−3.10830	−	5.38374i	−0.333245	−	0.577198i
$88$	0.181133	−	0.313732i	0.0193089	−	0.0334439i
$89$	6.60293	−	2.40327i	0.699909	−	0.254746i	0.0325368	−	0.999471i	$-0.489641\pi$
$89$	6.60293	−	2.40327i	0.699909	−	0.254746i	0.667372	+	0.744725i	$0.267419\pi$
$90$	4.41167	+	25.0199i	0.465031	+	2.63732i
$91$	−0.910564	+	5.16406i	−0.0954530	+	0.541341i
$92$	−1.67309	−	0.608955i	−0.174432	−	0.0634879i
$93$	−4.61583	+	3.87315i	−0.478640	+	0.401626i
$94$	3.27349			0.337634
$95$	6.48443	−	17.6480i	0.665288	−	1.81064i
$96$	2.98161			0.304310
$97$	−1.06371	+	0.892561i	−0.108004	+	0.0906258i	−0.695190	−	0.718826i	$-0.744680\pi$
$97$	−1.06371	+	0.892561i	−0.108004	+	0.0906258i	0.587187	+	0.809452i	$0.300235\pi$
$98$	0.939693	+	0.342020i	0.0949233	+	0.0345493i
$99$	0.370522	−	2.10134i	0.0372389	−	0.211192i
$100$	2.36251	+	13.3985i	0.236251	+	1.33985i
$101$	0.261850	−	0.0953057i	0.0260551	−	0.00948327i	−0.328960	−	0.944344i	$-0.606698\pi$
$101$	0.261850	−	0.0953057i	0.0260551	−	0.00948327i	0.355015	+	0.934861i	$0.384476\pi$
$102$	6.90243	−	11.9554i	0.683442	−	1.18376i
$103$	5.49276	+	9.51375i	0.541218	+	0.937417i	0.998834	+	0.0482675i	$0.0153700\pi$
$103$	5.49276	+	9.51375i	0.541218	+	0.937417i	−0.457616	+	0.889150i	$0.651297\pi$
$104$	4.01693	+	3.37060i	0.393892	+	0.330515i
$105$	9.85195	+	8.26677i	0.961452	+	0.806754i
$106$	−5.87413	−	10.1743i	−0.570546	−	0.988215i
$107$	1.79893	−	3.11584i	0.173909	−	0.301220i	−0.765874	−	0.642991i	$-0.777693\pi$
$107$	1.79893	−	3.11584i	0.173909	−	0.301220i	0.939783	+	0.341771i	$0.111027\pi$
$108$	8.09724	−	2.94715i	0.779157	−	0.283590i
$109$	−1.89355	−	10.7388i	−0.181369	−	1.02859i	−0.930532	−	0.366210i	$-0.880655\pi$
$109$	−1.89355	−	10.7388i	−0.181369	−	1.02859i	0.749163	−	0.662385i	$-0.230456\pi$
$110$	0.271341	−	1.53885i	0.0258713	−	0.146724i
$111$	−20.8680	−	7.59533i	−1.98070	−	0.720917i
$112$	0.766044	−	0.642788i	0.0723844	−	0.0607377i
$113$	−4.29382			−0.403928			−0.201964	−	0.979393i	$-0.564732\pi$
$113$	−4.29382			−0.403928			−0.201964	+	0.979393i	$0.564732\pi$
$114$	−12.7922	−	2.29590i	−1.19809	−	0.215030i
$115$	−7.67981			−0.716146
$116$	−1.59719	+	1.34020i	−0.148295	+	0.124434i
$117$	29.0230	+	10.5635i	2.68318	+	0.976596i
$118$	0.134994	−	0.765586i	0.0124272	−	0.0704779i
$119$	−0.803991	−	4.55966i	−0.0737017	−	0.417983i
$120$	12.0852	−	4.39865i	1.10322	−	0.401540i
$121$	5.43438	−	9.41263i	0.494035	−	0.855693i
$122$	−5.37109	−	9.30301i	−0.486276	−	0.842255i
$123$	−6.19815	−	5.20087i	−0.558869	−	0.468946i
$124$	1.54810	+	1.29901i	0.139023	+	0.116655i
$125$	18.5587	+	32.1446i	1.65994	+	2.87510i
$126$	2.94501	−	5.10090i	0.262362	−	0.454424i
$127$	10.3764	−	3.77671i	0.920759	−	0.335129i	0.162219	−	0.986755i	$-0.448135\pi$
$127$	10.3764	−	3.77671i	0.920759	−	0.335129i	0.758541	+	0.651626i	$0.225913\pi$
$128$	−0.173648	−	0.984808i	−0.0153485	−	0.0870455i
$129$	−2.05616	+	11.6611i	−0.181035	+	1.02670i
$130$	21.2541	+	7.73586i	1.86411	+	0.678480i
$131$	2.99061	−	2.50942i	0.261291	−	0.219249i	−0.502725	−	0.864446i	$-0.667669\pi$
$131$	2.99061	−	2.50942i	0.261291	−	0.219249i	0.764016	+	0.645197i	$0.223225\pi$
$132$	−1.08014			−0.0940139
$133$	−3.78155	+	2.16791i	−0.327902	+	0.187982i
$134$	−2.61230			−0.225668
$135$	28.4723	−	23.8911i	2.45050	−	2.05622i
$136$	−4.35077	−	1.58355i	−0.373076	−	0.135789i
$137$	−1.88910	+	10.7136i	−0.161397	+	0.915327i	0.791305	+	0.611421i	$0.209402\pi$
$137$	−1.88910	+	10.7136i	−0.161397	+	0.915327i	−0.952702	+	0.303906i	$0.901709\pi$
$138$	0.921838	+	5.22801i	0.0784721	+	0.445037i
$139$	−11.3580	+	4.13398i	−0.963374	+	0.350640i	−0.775355	−	0.631526i	$-0.782429\pi$
$139$	−11.3580	+	4.13398i	−0.963374	+	0.350640i	−0.188019	+	0.982165i	$0.560207\pi$
$140$	2.15669	−	3.73549i	0.182273	−	0.315707i
$141$	−4.88013	−	8.45264i	−0.410981	−	0.711841i
$142$	11.1406	+	9.34806i	0.934897	+	0.784472i
$143$	−1.45520	−	1.22106i	−0.121690	−	0.102110i
$144$	−2.94501	−	5.10090i	−0.245417	−	0.425075i
$145$	−4.49665	+	7.78843i	−0.373427	+	0.646794i
$146$	2.46180	−	0.896023i	0.203740	−	0.0741554i
$147$	−0.517752	−	2.93632i	−0.0427034	−	0.242183i
$148$	−1.29334	+	7.33492i	−0.106312	+	0.602926i
$149$	18.6180	+	6.77640i	1.52525	+	0.555144i	0.962452	−	0.271453i	$-0.0875042\pi$
$149$	18.6180	+	6.77640i	1.52525	+	0.555144i	0.562794	+	0.826597i	$0.309726\pi$
$150$	31.0749	−	26.0749i	2.53725	−	2.12901i
$151$	16.3282			1.32877			0.664386	−	0.747390i	$-0.268693\pi$
$151$	16.3282			1.32877			0.664386	+	0.747390i	$0.268693\pi$
$152$	−0.0133093	+	4.35888i	−0.00107953	+	0.353552i
$153$	−27.2708			−2.20471
$154$	−0.277512	+	0.232860i	−0.0223626	+	0.0187644i
$155$	8.19120	+	2.98135i	0.657933	+	0.239468i
$156$	2.71495	−	15.3972i	0.217370	−	1.23277i
$157$	−0.933254	−	5.29274i	−0.0744817	−	0.422407i	−0.999135	−	0.0415957i	$-0.986756\pi$
$157$	−0.933254	−	5.29274i	−0.0744817	−	0.422407i	0.924653	−	0.380811i	$-0.124355\pi$
$158$	−0.521100	+	0.189665i	−0.0414565	+	0.0150889i
$159$	−17.5144	+	30.3358i	−1.38898	+	2.40579i
$160$	−2.15669	−	3.73549i	−0.170501	−	0.295316i
$161$	1.36391	+	1.14446i	0.107492	+	0.0901961i
$162$	−6.14538	−	5.15659i	−0.482827	−	0.405140i
$163$	2.17769	+	3.77186i	0.170569	+	0.295435i	0.938619	−	0.344955i	$-0.112106\pi$
$163$	2.17769	+	3.77186i	0.170569	+	0.295435i	−0.768050	+	0.640390i	$0.778773\pi$
$164$	−1.35684	+	2.35011i	−0.105951	+	0.183513i
$165$	−4.37806	+	1.59348i	−0.340832	+	0.124053i
$166$	0.879200	+	4.98619i	0.0682391	+	0.387003i
$167$	−4.15733	+	23.5774i	−0.321704	+	1.82447i	0.210190	+	0.977661i	$0.432592\pi$
$167$	−4.15733	+	23.5774i	−0.321704	+	1.82447i	−0.531893	+	0.846811i	$0.678519\pi$
$168$	−2.80180	−	1.01977i	−0.216164	−	0.0786771i
$169$	11.1051	−	9.31828i	0.854238	−	0.716791i
$170$	−19.9709			−1.53170
$171$	8.70731	+	24.1523i	0.665865	+	1.84698i
$172$	3.97133			0.302811
$173$	−4.10278	+	3.44264i	−0.311929	+	0.261739i	−0.785289	−	0.619130i	$-0.787485\pi$
$173$	−4.10278	+	3.44264i	−0.311929	+	0.261739i	0.473360	+	0.880869i	$0.343041\pi$
$174$	5.84170	+	2.12621i	0.442858	+	0.161187i
$175$	2.36251	−	13.3985i	0.178589	−	1.01283i
$176$	0.0629069	+	0.356763i	0.00474178	+	0.0268920i
$177$	−2.17811	+	0.792767i	−0.163717	+	0.0595880i
$178$	−3.51334	+	6.08529i	−0.263336	+	0.456112i
$179$	−9.66056	−	16.7326i	−0.722064	−	1.25065i	−0.960171	−	0.279413i	$-0.909860\pi$
$179$	−9.66056	−	16.7326i	−0.722064	−	1.25065i	0.238106	−	0.971239i	$-0.423473\pi$
$180$	−19.4620	−	16.3305i	−1.45061	−	1.21721i
$181$	−7.28156	−	6.10996i	−0.541234	−	0.454150i	0.330725	−	0.943727i	$-0.392707\pi$
$181$	−7.28156	−	6.10996i	−0.541234	−	0.454150i	−0.871960	+	0.489577i	$0.837151\pi$
$182$	−2.62186	−	4.54120i	−0.194345	−	0.336616i
$183$	−16.0145	+	27.7380i	−1.18383	+	2.05045i
$184$	1.67309	−	0.608955i	0.123342	−	0.0448927i
$185$	5.57867	+	31.6382i	0.410152	+	2.32609i
$186$	1.04632	−	5.93400i	0.0767203	−	0.435102i
$187$	1.57614	+	0.573668i	0.115259	+	0.0419507i
$188$	−2.50764	+	2.10416i	−0.182888	+	0.153461i
$189$	−8.61690			−0.626787
$190$	6.37653	+	17.6872i	0.462602	+	1.28317i
$191$	−16.3533			−1.18329			−0.591643	−	0.806200i	$-0.701521\pi$
$191$	−16.3533			−1.18329			−0.591643	+	0.806200i	$0.701521\pi$
$192$	−2.28405	+	1.91654i	−0.164837	+	0.138315i
$193$	−0.856534	−	0.311753i	−0.0616546	−	0.0224405i	0.311009	−	0.950407i	$-0.399333\pi$
$193$	−0.856534	−	0.311753i	−0.0616546	−	0.0224405i	−0.372663	+	0.927967i	$0.621555\pi$
$194$	0.241124	−	1.36748i	0.0173117	−	0.0981795i
$195$	−11.7106	−	66.4140i	−0.838612	−	4.75601i
$196$	−0.939693	+	0.342020i	−0.0671209	+	0.0244300i
$197$	13.8640	−	24.0132i	0.987770	−	1.71087i	0.358854	−	0.933394i	$-0.383168\pi$
$197$	13.8640	−	24.0132i	0.987770	−	1.71087i	0.628916	−	0.777474i	$-0.283499\pi$
$198$	1.06688	+	1.84788i	0.0758196	+	0.131323i
$199$	−5.04682	−	4.23478i	−0.357759	−	0.300196i	0.446138	−	0.894964i	$-0.352799\pi$
$199$	−5.04682	−	4.23478i	−0.357759	−	0.300196i	−0.803897	+	0.594769i	$0.797244\pi$
$200$	−10.4222	−	8.74524i	−0.736959	−	0.618382i
$201$	3.89444	+	6.74536i	0.274692	+	0.475781i
$202$	−0.139328	+	0.241322i	−0.00980306	+	0.0169794i
$203$	1.95924	−	0.713106i	0.137512	−	0.0500502i
$204$	2.39719	+	13.5951i	0.167837	+	0.951850i
$205$	−2.03256	+	11.5272i	−0.141960	+	0.805098i
$206$	−10.3230	−	3.75727i	−0.719239	−	0.261782i
$207$	8.03348	−	6.74089i	0.558365	−	0.468524i
$208$	−5.24373			−0.363587
$209$	0.00482151	−	1.57907i	0.000333511	−	0.109227i
$210$	−12.8608			−0.887480
$211$	3.01044	−	2.52606i	0.207247	−	0.173901i	−0.533256	−	0.845954i	$-0.679032\pi$
$211$	3.01044	−	2.52606i	0.207247	−	0.173901i	0.740503	+	0.672053i	$0.234587\pi$
$212$	11.0398	+	4.01814i	0.758213	+	0.275967i
$213$	7.52966	−	42.7028i	0.515924	−	2.92595i
$214$	0.624763	+	3.54321i	0.0427079	+	0.242209i
$215$	16.0968	−	5.85875i	1.09779	−	0.399563i
$216$	−4.30845	+	7.46246i	−0.293153	+	0.507756i
$217$	−1.01045	−	1.75015i	−0.0685939	−	0.118808i
$218$	8.35334	+	7.00928i	0.565760	+	0.474729i
$219$	−5.98374	−	5.02095i	−0.404343	−	0.339284i
$220$	0.781294	+	1.35324i	0.0526749	+	0.0912355i
$221$	−12.1392	+	21.0257i	−0.816572	+	1.41434i
$222$	20.8680	−	7.59533i	1.40057	−	0.509765i
$223$	−2.66864	−	15.1346i	−0.178706	−	1.01349i	−0.933779	−	0.357850i	$-0.883510\pi$
$223$	−2.66864	−	15.1346i	−0.178706	−	1.01349i	0.755073	−	0.655640i	$-0.227601\pi$
$224$	−0.173648	+	0.984808i	−0.0116024	+	0.0658002i
$225$	−75.3020	−	27.4077i	−5.02013	−	1.82718i
$226$	3.28926	−	2.76001i	0.218798	−	0.183593i
$227$	15.6050			1.03574			0.517870	−	0.855459i	$-0.326725\pi$
$227$	15.6050			1.03574			0.517870	+	0.855459i	$0.326725\pi$
$228$	11.2751	−	6.46388i	0.746714	−	0.428081i
$229$	8.96359			0.592331			0.296165	−	0.955137i	$-0.404292\pi$
$229$	8.96359			0.592331			0.296165	+	0.955137i	$0.404292\pi$
$230$	5.88307	−	4.93648i	0.387918	−	0.325502i
$231$	1.01500	+	0.369429i	0.0667819	+	0.0243066i
$232$	0.362053	−	2.05331i	0.0237700	−	0.134806i
$233$	2.64414	+	14.9956i	0.173223	+	0.982398i	0.940175	+	0.340693i	$0.110662\pi$
$233$	2.64414	+	14.9956i	0.173223	+	0.982398i	−0.766952	+	0.641705i	$0.778227\pi$
$234$	−29.0230	+	10.5635i	−1.89729	+	0.690558i
$235$	−7.05988	+	12.2281i	−0.460536	+	0.797672i
$236$	0.388698	+	0.673245i	0.0253021	+	0.0438245i
$237$	1.26660	+	1.06281i	0.0822748	+	0.0690367i
$238$	3.54678	+	2.97611i	0.229904	+	0.192912i
$239$	−9.45344	−	16.3738i	−0.611492	−	1.05914i	−0.990989	−	0.133942i	$-0.957236\pi$
$239$	−9.45344	−	16.3738i	−0.611492	−	1.05914i	0.379497	−	0.925193i	$-0.376097\pi$
$240$	−6.43040	+	11.1378i	−0.415081	+	0.718941i
$241$	−17.5626	+	6.39228i	−1.13131	+	0.411763i	−0.838767	−	0.544490i	$-0.816723\pi$
$241$	−17.5626	+	6.39228i	−1.13131	+	0.411763i	−0.292541	+	0.956253i	$0.594501\pi$
$242$	1.88734	+	10.7036i	0.121323	+	0.688056i
$243$	0.335409	−	1.90220i	0.0215165	−	0.122026i
$244$	10.0944	+	3.67404i	0.646225	+	0.235207i
$245$	−3.30423	+	2.77258i	−0.211100	+	0.177134i
$246$	8.09111			0.515871
$247$	22.4974	+	4.03777i	1.43148	+	0.256917i
$248$	−2.02090			−0.128327
$249$	11.5644	−	9.70367i	0.732863	−	0.614945i
$250$	−34.8789	−	12.6949i	−2.20593	−	0.802894i
$251$	−3.04517	+	17.2700i	−0.192210	+	1.09007i	0.724127	+	0.689666i	$0.242243\pi$
$251$	−3.04517	+	17.2700i	−0.192210	+	1.09007i	−0.916337	+	0.400408i	$0.868868\pi$
$252$	1.02279	+	5.80053i	0.0644297	+	0.365399i
$253$	−0.606104	+	0.220604i	−0.0381054	+	0.0138692i
$254$	−5.52118	+	9.56297i	−0.346430	+	0.600034i
$255$	29.7727	+	51.5679i	1.86444	+	3.22931i
$256$	0.766044	+	0.642788i	0.0478778	+	0.0401742i
$257$	8.83155	+	7.41055i	0.550897	+	0.462257i	0.875245	−	0.483681i	$-0.160700\pi$
$257$	8.83155	+	7.41055i	0.550897	+	0.462257i	−0.324348	+	0.945938i	$0.605145\pi$
$258$	−5.92049	−	10.2546i	−0.368593	−	0.638423i
$259$	3.72404	−	6.45022i	0.231400	−	0.400797i
$260$	−21.2541	+	7.73586i	−1.31812	+	0.479758i
$261$	−2.13250	−	12.0940i	−0.131998	−	0.748600i
$262$	−0.677916	+	3.84465i	−0.0418818	+	0.237524i
$263$	5.01924	+	1.82685i	0.309499	+	0.112649i	0.492100	−	0.870539i	$-0.336229\pi$
$263$	5.01924	+	1.82685i	0.309499	+	0.112649i	−0.182601	+	0.983187i	$0.558452\pi$
$264$	0.827433	−	0.694299i	0.0509250	−	0.0427311i
$265$	50.6746			3.11292
$266$	1.50333	−	4.09145i	0.0921751	−	0.250863i
$267$	20.9509			1.28217
$268$	2.00114	−	1.67916i	0.122239	−	0.102571i
$269$	−24.5841	−	8.94787i	−1.49892	−	0.545561i	−0.543137	−	0.839644i	$-0.682763\pi$
$269$	−24.5841	−	8.94787i	−1.49892	−	0.545561i	−0.955780	+	0.294083i	$0.904986\pi$
$270$	−6.45414	+	36.6032i	−0.392786	+	2.22760i
$271$	−3.52167	−	19.9724i	−0.213926	−	1.21324i	−0.882760	−	0.469824i	$-0.844317\pi$
$271$	−3.52167	−	19.9724i	−0.213926	−	1.21324i	0.668834	−	0.743412i	$-0.266794\pi$
$272$	4.35077	−	1.58355i	0.263804	−	0.0960170i
$273$	−7.81738	+	13.5401i	−0.473129	+	0.819484i
$274$	−5.43945	−	9.42141i	−0.328609	−	0.569168i
$275$	3.77560	+	3.16810i	0.227677	+	0.191044i
$276$	−4.06667	−	3.41234i	−0.244785	−	0.205399i
$277$	−15.5865	−	26.9966i	−0.936500	−	1.62207i	−0.771936	−	0.635700i	$-0.780712\pi$
$277$	−15.5865	−	26.9966i	−0.936500	−	1.62207i	−0.164564	−	0.986366i	$-0.552622\pi$
$278$	6.04347	−	10.4676i	0.362464	−	0.627805i
$279$	−11.1853	+	4.07111i	−0.669646	+	0.243731i
$280$	0.749009	+	4.24784i	0.0447619	+	0.253857i
$281$	−1.04347	+	5.91781i	−0.0622481	+	0.353027i	0.937736	+	0.347350i	$0.112918\pi$
$281$	−1.04347	+	5.91781i	−0.0622481	+	0.353027i	−0.999984	+	0.00567727i	$0.998193\pi$
$282$	9.17165	+	3.33821i	0.546164	+	0.198787i
$283$	9.41982	−	7.90416i	0.559950	−	0.469854i	−0.318344	−	0.947975i	$-0.603127\pi$
$283$	9.41982	−	7.90416i	0.559950	−	0.469854i	0.878294	+	0.478122i	$0.158682\pi$
$284$	−14.5430			−0.862968
$285$	36.1650	−	42.8334i	2.14223	−	2.53723i
$286$	1.89962			0.112327
$287$	2.07879	−	1.74431i	0.122707	−	0.102964i
$288$	5.53480	+	2.01450i	0.326141	+	0.118706i
$289$	0.770456	−	4.36947i	0.0453209	−	0.257028i
$290$	−1.56167	−	8.85667i	−0.0917045	−	0.520082i
$291$	−3.89052	+	1.41603i	−0.228066	+	0.0830093i
$292$	−1.30990	+	2.26881i	−0.0766560	+	0.132772i
$293$	−2.01328	−	3.48710i	−0.117617	−	0.203718i	0.801206	−	0.598389i	$-0.204192\pi$
$293$	−2.01328	−	3.48710i	−0.117617	−	0.203718i	−0.918823	+	0.394670i	$0.870859\pi$
$294$	2.28405	+	1.91654i	0.133208	+	0.111775i
$295$	2.56870	+	2.15540i	0.149556	+	0.125492i
$296$	−3.72404	−	6.45022i	−0.216455	−	0.374911i
$297$	1.56081	−	2.70340i	0.0905672	−	0.156867i
$298$	−18.6180	+	6.77640i	−1.07851	+	0.392546i
$299$	−1.62123	−	9.19443i	−0.0937579	−	0.531728i
$300$	−7.04410	+	39.9491i	−0.406691	+	2.30646i
$301$	−3.73183	−	1.35828i	−0.215099	−	0.0782897i
$302$	−12.5081	+	10.4956i	−0.719763	+	0.603953i
$303$	0.830842			0.0477306
$304$	−2.79164	−	3.34765i	−0.160111	−	0.192001i
$305$	46.3350			2.65314
$306$	20.8906	−	17.5293i	1.19424	−	1.00208i
$307$	21.3132	+	7.75736i	1.21641	+	0.442736i	0.868922	−	0.494950i	$-0.164813\pi$
$307$	21.3132	+	7.75736i	1.21641	+	0.442736i	0.347485	+	0.937685i	$0.387036\pi$
$308$	0.0629069	−	0.356763i	0.00358445	−	0.0203284i
$309$	5.68777	+	32.2570i	0.323566	+	1.83504i
$310$	−8.19120	+	2.98135i	−0.465229	+	0.169330i
$311$	−8.45177	+	14.6389i	−0.479256	+	0.830096i	−0.999717	−	0.0237895i	$-0.992427\pi$
$311$	−8.45177	+	14.6389i	−0.479256	+	0.830096i	0.520461	+	0.853886i	$0.325760\pi$
$312$	7.81738	+	13.5401i	0.442572	+	0.766557i
$313$	−1.07225	−	0.899723i	−0.0606071	−	0.0508554i	0.611981	−	0.790873i	$-0.290373\pi$
$313$	−1.07225	−	0.899723i	−0.0606071	−	0.0508554i	−0.672588	+	0.740017i	$0.734817\pi$
$314$	4.11702	+	3.45459i	0.232337	+	0.194954i
$315$	12.7029	+	22.0021i	0.715728	+	1.23968i
$316$	0.277272	−	0.480249i	0.0155978	−	0.0270161i
$317$	−10.2870	+	3.74416i	−0.577776	+	0.210293i	−0.614344	−	0.789038i	$-0.710579\pi$
$317$	−10.2870	+	3.74416i	−0.577776	+	0.210293i	0.0365686	+	0.999331i	$0.488357\pi$
$318$	−6.08268	−	34.4966i	−0.341100	−	1.93447i
$319$	−0.131160	+	0.743843i	−0.00734353	+	0.0416472i
$320$	4.05324	+	1.47526i	0.226583	+	0.0824695i
$321$	8.21770	−	6.89547i	0.458667	−	0.384867i
$322$	−1.78046			−0.0992214
$323$	−19.8857	+	3.44381i	−1.10647	+	0.191619i
$324$	8.02223			0.445679
$325$	−54.6510	+	45.8576i	−3.03149	+	2.54372i
$326$	−4.09271	−	1.48962i	−0.226674	−	0.0825027i
$327$	5.64583	−	32.0191i	0.312215	−	1.77066i
$328$	−0.471224	−	2.67244i	−0.0260190	−	0.147561i
$329$	3.07607	−	1.11960i	0.169589	−	0.0617255i
$330$	2.32952	−	4.03484i	0.128236	−	0.222111i
$331$	−1.56191	−	2.70531i	−0.0858506	−	0.148698i	0.819903	−	0.572503i	$-0.194027\pi$
$331$	−1.56191	−	2.70531i	−0.0858506	−	0.148698i	−0.905753	+	0.423805i	$0.860694\pi$
$332$	−3.87857	−	3.25450i	−0.212864	−	0.178614i
$333$	−33.6058	−	28.1986i	−1.84159	−	1.54527i
$334$	−11.9705	−	20.7336i	−0.654999	−	1.13449i
$335$	5.63391	−	9.75823i	0.307814	−	0.533149i
$336$	2.80180	−	1.01977i	0.152851	−	0.0556331i
$337$	−0.637119	−	3.61328i	−0.0347061	−	0.196828i	0.962525	−	0.271193i	$-0.0874181\pi$
$337$	−0.637119	−	3.61328i	−0.0347061	−	0.196828i	−0.997231	+	0.0743650i	$0.976307\pi$
$338$	−2.51732	+	14.2764i	−0.136924	+	0.776535i
$339$	−12.0304	−	4.37871i	−0.653403	−	0.237819i
$340$	15.2986	−	12.8370i	0.829683	−	0.696187i
$341$	0.732104			0.0396457
$342$	−22.1950	−	12.9048i	−1.20017	−	0.697813i
$343$	1.00000			0.0539949
$344$	−3.04222	+	2.55272i	−0.164025	+	0.137634i
$345$	−21.5173	−	7.83165i	−1.15845	−	0.421642i
$346$	0.930026	−	5.27444i	0.0499985	−	0.283555i
$347$	−2.47722	−	14.0490i	−0.132984	−	0.754190i	−0.976242	−	0.216682i	$-0.930477\pi$
$347$	−2.47722	−	14.0490i	−0.132984	−	0.754190i	0.843258	−	0.537509i	$-0.180634\pi$
$348$	−5.84170	+	2.12621i	−0.313148	+	0.113977i
$349$	1.59962	−	2.77061i	0.0856254	−	0.148308i	−0.820032	−	0.572317i	$-0.806044\pi$
$349$	1.59962	−	2.77061i	0.0856254	−	0.148308i	0.905658	+	0.424010i	$0.139378\pi$
$350$	6.80259	+	11.7824i	0.363614	+	0.629797i
$351$	34.6135	+	29.0442i	1.84753	+	1.55026i
$352$	−0.277512	−	0.232860i	−0.0147914	−	0.0124115i
$353$	1.48249	+	2.56775i	0.0789051	+	0.136668i	0.902778	−	0.430107i	$-0.141524\pi$
$353$	1.48249	+	2.56775i	0.0789051	+	0.136668i	−0.823873	+	0.566775i	$0.808191\pi$
$354$	1.15895	−	2.00736i	0.0615974	−	0.106690i
$355$	−58.9463	+	21.4547i	−3.12855	+	1.13870i
$356$	−1.22017	−	6.91994i	−0.0646690	−	0.366756i
$357$	2.39719	−	13.5951i	0.126873	−	0.719531i
$358$	18.1559	+	6.60821i	0.959570	+	0.349255i
$359$	−15.7336	+	13.2020i	−0.830385	+	0.696776i	−0.955379	−	0.295381i	$-0.904553\pi$
$359$	−15.7336	+	13.2020i	−0.830385	+	0.696776i	0.124994	+	0.992158i	$0.460109\pi$
$360$	25.4058			1.33900
$361$	9.39934	+	16.5122i	0.494702	+	0.869063i
$362$	9.50541			0.499593
$363$	24.8248	−	20.8305i	1.30296	−	1.09332i
$364$	4.92749	+	1.79346i	0.258271	+	0.0940029i
$365$	−1.96225	+	11.1285i	−0.102709	+	0.582491i
$366$	−5.56178	−	31.5424i	−0.290719	−	1.64875i
$367$	8.67319	−	3.15678i	0.452737	−	0.164783i	−0.105580	−	0.994411i	$-0.533670\pi$
$367$	8.67319	−	3.15678i	0.452737	−	0.164783i	0.558316	+	0.829628i	$0.311448\pi$
$368$	−0.890232	+	1.54193i	−0.0464066	+	0.0803785i
$369$	−7.99178	−	13.8422i	−0.416035	−	0.720594i
$370$	−24.6102	−	20.6504i	−1.27942	−	1.07356i
$371$	−8.99969	−	7.55164i	−0.467241	−	0.392061i
$372$	3.01277	+	5.21827i	0.156205	+	0.270555i
$373$	9.28697	−	16.0855i	0.480861	−	0.832876i	−0.518898	−	0.854836i	$-0.673657\pi$
$373$	9.28697	−	16.0855i	0.480861	−	0.832876i	0.999759	+	0.0219605i	$0.00699079\pi$
$374$	−1.57614	+	0.573668i	−0.0815002	+	0.0296636i
$375$	19.2176	+	108.988i	0.992390	+	5.62813i
$376$	0.568435	−	3.22375i	0.0293148	−	0.166252i
$377$	−10.2737	−	3.73933i	−0.529124	−	0.192585i
$378$	6.60093	−	5.53884i	0.339515	−	0.284887i
$379$	7.87312			0.404415			0.202207	−	0.979343i	$-0.435188\pi$
$379$	7.87312			0.404415			0.202207	+	0.979343i	$0.435188\pi$
$380$	−16.2538	−	9.45045i	−0.833805	−	0.484798i
$381$	32.9241			1.68675
$382$	12.5274	−	10.5117i	0.640957	−	0.537827i
$383$	−13.7714	−	5.01238i	−0.703686	−	0.256121i	−0.0347019	−	0.999398i	$-0.511048\pi$
$383$	−13.7714	−	5.01238i	−0.703686	−	0.256121i	−0.668984	+	0.743277i	$0.733270\pi$
$384$	0.517752	−	2.93632i	0.0264214	−	0.149843i
$385$	−0.271341	−	1.53885i	−0.0138288	−	0.0784270i
$386$	0.856534	−	0.311753i	0.0435964	−	0.0158678i
$387$	−11.6956	+	20.2574i	−0.594521	+	1.02974i
$388$	0.694289	+	1.20254i	0.0352472	+	0.0610499i
$389$	13.0386	+	10.9407i	0.661086	+	0.554717i	0.910412	−	0.413703i	$-0.135765\pi$
$389$	13.0386	+	10.9407i	0.661086	+	0.554717i	−0.249326	+	0.968420i	$0.580209\pi$
$390$	51.6609	+	43.3487i	2.61595	+	2.19504i
$391$	4.12177	+	7.13912i	0.208447	+	0.361041i
$392$	0.500000	−	0.866025i	0.0252538	−	0.0437409i
$393$	10.9381	−	3.98115i	0.551756	−	0.200823i
$394$	4.81492	+	27.3068i	0.242572	+	1.37569i
$395$	0.415358	−	2.35561i	0.0208989	−	0.118524i
$396$	−2.00507	−	0.729786i	−0.100759	−	0.0366732i
$397$	7.98321	−	6.69871i	0.400666	−	0.336198i	−0.420085	−	0.907485i	$-0.638000\pi$
$397$	7.98321	−	6.69871i	0.400666	−	0.336198i	0.820751	+	0.571286i	$0.193555\pi$
$398$	6.58815			0.330234
$399$	−12.8059	+	2.21774i	−0.641099	+	0.111026i
$400$	13.6052			0.680259
$401$	23.0394	−	19.3323i	1.15053	−	0.965410i	0.150799	−	0.988564i	$-0.451815\pi$
$401$	23.0394	−	19.3323i	1.15053	−	0.965410i	0.999732	+	0.0231544i	$0.00737092\pi$
$402$	−7.31915	−	2.66395i	−0.365046	−	0.132866i
$403$	−1.84016	+	10.4361i	−0.0916648	+	0.519857i
$404$	−0.0483880	−	0.274422i	−0.00240739	−	0.0136530i
$405$	32.5160	−	11.8349i	1.61573	−	0.588079i
$406$	−1.04249	+	1.80565i	−0.0517380	+	0.0896128i
$407$	1.34909	+	2.33670i	0.0668720	+	0.115826i
$408$	−10.5751	−	8.87359i	−0.523547	−	0.439308i
$409$	−8.46735	−	7.10495i	−0.418684	−	0.351317i	0.408978	−	0.912544i	$-0.365885\pi$
$409$	−8.46735	−	7.10495i	−0.418684	−	0.351317i	−0.827662	+	0.561227i	$0.810330\pi$
$410$	−5.85254	−	10.1369i	−0.289036	−	0.500625i
$411$	−16.2183	+	28.0910i	−0.799992	+	1.38563i
$412$	10.3230	−	3.75727i	0.508579	−	0.185107i
$413$	−0.134994	−	0.765586i	−0.00664260	−	0.0376720i
$414$	−1.82104	+	10.3276i	−0.0894993	+	0.507576i
$415$	−20.5220	−	7.46940i	−1.00739	−	0.366659i
$416$	4.01693	−	3.37060i	0.196946	−	0.165257i
$417$	−36.0386			−1.76482
$418$	1.01132	+	1.21274i	0.0494651	+	0.0593171i
$419$	−14.4315			−0.705023			−0.352511	−	0.935808i	$-0.614672\pi$
$419$	−14.4315			−0.705023			−0.352511	+	0.935808i	$0.614672\pi$
$420$	9.85195	−	8.26677i	0.480726	−	0.403377i
$421$	−25.0012	−	9.09968i	−1.21848	−	0.443491i	−0.348844	−	0.937181i	$-0.613426\pi$
$421$	−25.0012	−	9.09968i	−1.21848	−	0.443491i	−0.869638	+	0.493689i	$0.835648\pi$
$422$	−0.682411	+	3.87014i	−0.0332192	+	0.188396i
$423$	−3.34809	−	18.9880i	−0.162790	−	0.923226i
$424$	−11.0398	+	4.01814i	−0.536138	+	0.195138i
$425$	31.4960	−	54.5526i	1.52778	−	2.64619i
$426$	21.6808	+	37.5522i	1.05044	+	1.81941i
$427$	−8.22899	−	6.90494i	−0.398229	−	0.334154i
$428$	−2.75612	−	2.31266i	−0.133222	−	0.111787i
$429$	−2.83197	−	4.90512i	−0.136729	−	0.236821i
$430$	−8.56492	+	14.8349i	−0.413037	+	0.715401i
$431$	18.9920	−	6.91253i	0.914814	−	0.332965i	0.158640	−	0.987336i	$-0.449289\pi$
$431$	18.9920	−	6.91253i	0.914814	−	0.332965i	0.756173	+	0.654371i	$0.227067\pi$
$432$	−1.49631	−	8.48599i	−0.0719912	−	0.408283i
$433$	6.27552	−	35.5903i	0.301582	−	1.71036i	−0.337588	−	0.941294i	$-0.609611\pi$
$433$	6.27552	−	35.5903i	0.301582	−	1.71036i	0.639171	−	0.769065i	$-0.279278\pi$
$434$	1.89903	+	0.691189i	0.0911562	+	0.0331781i
$435$	−20.5411	+	17.2361i	−0.984872	+	0.826406i
$436$	−10.9045			−0.522231
$437$	5.00672	−	5.92991i	0.239504	−	0.283666i
$438$	7.81121			0.373234
$439$	14.5417	−	12.2020i	0.694039	−	0.582368i	−0.226032	−	0.974120i	$-0.572575\pi$
$439$	14.5417	−	12.2020i	0.694039	−	0.582368i	0.920071	+	0.391752i	$0.128131\pi$
$440$	−1.46835	−	0.534437i	−0.0700010	−	0.0254783i
$441$	1.02279	−	5.80053i	0.0487043	−	0.276216i
$442$	−4.21591	−	23.9096i	−0.200530	−	1.13726i
$443$	30.3354	−	11.0412i	1.44128	−	0.524582i	0.501137	−	0.865368i	$-0.332915\pi$
$443$	30.3354	−	11.0412i	1.44128	−	0.524582i	0.940141	+	0.340786i	$0.110693\pi$
$444$	−11.1036	+	19.2321i	−0.526955	+	0.912713i
$445$	−15.1544	−	26.2481i	−0.718385	−	1.24428i
$446$	11.7727	+	9.87843i	0.557451	+	0.467757i
$447$	45.2535	+	37.9722i	2.14042	+	1.79602i
$448$	−0.500000	−	0.866025i	−0.0236228	−	0.0409159i
$449$	5.50749	−	9.53925i	0.259914	−	0.450185i	−0.706304	−	0.707908i	$-0.749639\pi$
$449$	5.50749	−	9.53925i	0.259914	−	0.450185i	0.966219	+	0.257723i	$0.0829723\pi$
$450$	75.3020	−	27.4077i	3.54977	−	1.29201i
$451$	0.170708	+	0.968136i	0.00803835	+	0.0455877i
$452$	−0.745614	+	4.22859i	−0.0350707	+	0.198896i
$453$	45.7484	+	16.6511i	2.14945	+	0.782335i
$454$	−11.9541	+	10.0307i	−0.561035	+	0.470764i
$455$	22.6181			1.06035
$456$	−4.48235	+	12.1991i	−0.209905	+	0.571277i
$457$	−1.92274			−0.0899421			−0.0449710	−	0.998988i	$-0.514320\pi$
$457$	−1.92274			−0.0899421			−0.0449710	+	0.998988i	$0.514320\pi$
$458$	−6.86651	+	5.76168i	−0.320851	+	0.269226i
$459$	−37.4902	−	13.6453i	−1.74989	−	0.636909i
$460$	−1.33358	+	7.56313i	−0.0621787	+	0.352633i
$461$	−0.661726	−	3.75283i	−0.0308196	−	0.174787i	0.965513	−	0.260356i	$-0.0838401\pi$
$461$	−0.661726	−	3.75283i	−0.0308196	−	0.174787i	−0.996332	+	0.0855697i	$0.972729\pi$
$462$	−1.01500	+	0.369429i	−0.0472219	+	0.0171874i
$463$	17.4553	−	30.2335i	0.811217	−	1.40507i	−0.100795	−	0.994907i	$-0.532139\pi$
$463$	17.4553	−	30.2335i	0.811217	−	1.40507i	0.912013	−	0.410162i	$-0.134528\pi$
$464$	1.04249	+	1.80565i	0.0483964	+	0.0838251i
$465$	19.9098	+	16.7063i	0.923295	+	0.774737i
$466$	−11.6645	−	9.78771i	−0.540350	−	0.453407i
$467$	16.6262	+	28.7974i	0.769368	+	1.33258i	0.937906	+	0.346889i	$0.112762\pi$
$467$	16.6262	+	28.7974i	0.769368	+	1.33258i	−0.168539	+	0.985695i	$0.553905\pi$
$468$	15.4428	−	26.7477i	0.713844	−	1.23641i
$469$	−2.45476	+	0.893460i	−0.113350	+	0.0412561i
$470$	−2.45187	−	13.9053i	−0.113096	−	0.641401i
$471$	2.78260	−	15.7809i	0.128215	−	0.727146i
$472$	−0.730514	−	0.265885i	−0.0336246	−	0.0122384i
$473$	1.10209	−	0.924765i	0.0506743	−	0.0425208i
$474$	−1.65343			−0.0759447
$475$	−58.3709	−	10.4762i	−2.67824	−	0.480683i
$476$	−4.63000			−0.212216
$477$	−53.0083	+	44.4792i	−2.42708	+	2.03656i
$478$	17.7667	+	6.46653i	0.812628	+	0.295772i
$479$	0.575611	−	3.26445i	0.0263003	−	0.149157i	−0.968830	−	0.247728i	$-0.920316\pi$
$479$	0.575611	−	3.26445i	0.0263003	−	0.149157i	0.995130	+	0.0985712i	$0.0314272\pi$
$480$	−2.23326	−	12.6654i	−0.101934	−	0.578095i
$481$	−36.7003	+	13.3578i	−1.67339	+	0.609064i
$482$	9.34488	−	16.1858i	0.425648	−	0.737243i
$483$	2.65433	+	4.59743i	0.120776	+	0.209190i
$484$	−8.32596	−	6.98631i	−0.378453	−	0.317559i
$485$	4.58819	+	3.84995i	0.208339	+	0.174817i
$486$	0.965770	+	1.67276i	0.0438082	+	0.0758781i
$487$	−11.1886	+	19.3793i	−0.507005	+	0.878158i	0.492962	+	0.870051i	$0.335914\pi$
$487$	−11.1886	+	19.3793i	−0.507005	+	0.878158i	−0.999967	+	0.00810743i	$0.997419\pi$
$488$	−10.0944	+	3.67404i	−0.456950	+	0.166316i
$489$	2.25500	+	12.7887i	0.101975	+	0.578327i
$490$	0.749009	−	4.24784i	0.0338368	−	0.191898i
$491$	4.65141	+	1.69297i	0.209915	+	0.0764029i	0.444838	−	0.895611i	$-0.353261\pi$
$491$	4.65141	+	1.69297i	0.209915	+	0.0764029i	−0.234922	+	0.972014i	$0.575484\pi$
$492$	−6.19815	+	5.20087i	−0.279434	+	0.234473i
$493$	9.65346			0.434770
$494$	−19.8294	+	11.3679i	−0.892169	+	0.511468i
$495$	−9.20367			−0.413674
$496$	1.54810	−	1.29901i	0.0695117	−	0.0583273i
$497$	13.6659	+	4.97400i	0.613002	+	0.223114i
$498$	−2.62143	+	14.8669i	−0.117469	+	0.666201i
$499$	−3.52365	−	19.9836i	−0.157740	−	0.894588i	−0.956238	−	0.292591i	$-0.905483\pi$
$499$	−3.52365	−	19.9836i	−0.157740	−	0.894588i	0.798498	−	0.601998i	$-0.205628\pi$
$500$	34.8789	−	12.6949i	1.55983	−	0.567732i
$501$	−35.6915	+	61.8195i	−1.59458	+	2.76189i
$502$	−8.76822	−	15.1870i	−0.391345	−	0.677829i
$503$	17.8666	+	14.9919i	0.796633	+	0.668454i	0.947378	−	0.320118i	$-0.103723\pi$
$503$	17.8666	+	14.9919i	0.796633	+	0.668454i	−0.150745	+	0.988573i	$0.548167\pi$
$504$	−4.51201	−	3.78603i	−0.200981	−	0.168643i
$505$	−0.600972	−	1.04091i	−0.0267429	−	0.0463200i
$506$	0.322501	−	0.558588i	0.0143369	−	0.0248323i
$507$	40.6168	−	14.7833i	1.80385	−	0.656549i
$508$	−1.91749	−	10.8746i	−0.0850747	−	0.482483i
$509$	−4.70951	+	26.7089i	−0.208745	+	1.18385i	0.682691	+	0.730707i	$0.260810\pi$
$509$	−4.70951	+	26.7089i	−0.208745	+	1.18385i	−0.891436	+	0.453146i	$0.850302\pi$
$510$	−55.9545	−	20.3658i	−2.47771	−	0.901811i
$511$	2.00688	−	1.68397i	0.0887791	−	0.0744945i
$512$	−1.00000			−0.0441942
$513$	−0.114685	+	37.5600i	−0.00506346	+	1.65832i
$514$	−11.5288			−0.508512
$515$	36.2988	−	30.4583i	1.59951	−	1.34215i
$516$	11.1269	+	4.04985i	0.489833	+	0.178285i
$517$	−0.205925	+	1.16786i	−0.00905656	+	0.0513623i
$518$	1.29334	+	7.33492i	0.0568263	+	0.322278i
$519$	−15.0059	+	5.46170i	−0.658685	+	0.239742i
$520$	11.3091	−	19.5879i	0.495936	−	0.858986i
$521$	−8.06477	−	13.9686i	−0.353324	−	0.611975i	0.633506	−	0.773738i	$-0.281615\pi$
$521$	−8.06477	−	13.9686i	−0.353324	−	0.611975i	−0.986830	+	0.161763i	$0.948282\pi$
$522$	9.40746	+	7.89380i	0.411754	+	0.345502i
$523$	19.1460	+	16.0654i	0.837195	+	0.702490i	0.956931	−	0.290316i	$-0.0937604\pi$
$523$	19.1460	+	16.0654i	0.837195	+	0.702490i	−0.119736	+	0.992806i	$0.538205\pi$
$524$	−1.95198	−	3.38093i	−0.0852728	−	0.147697i
$525$	20.2827	−	35.1306i	0.885209	−	1.53323i
$526$	−5.01924	+	1.82685i	−0.218849	+	0.0796546i
$527$	−1.62479	−	9.21462i	−0.0707768	−	0.401395i
$528$	−0.187564	+	1.06373i	−0.00816267	+	0.0462928i
$529$	18.6341	+	6.78224i	0.810176	+	0.294880i
$530$	−38.8190	+	32.5730i	−1.68619	+	1.41488i
$531$	−4.57888			−0.198706
$532$	1.47832	+	4.10056i	0.0640932	+	0.177782i
$533$	−14.2297			−0.616359
$534$	−16.0493	+	13.4670i	−0.694521	+	0.582772i
$535$	−14.5830	−	5.30779i	−0.630479	−	0.229476i
$536$	−0.453621	+	2.57261i	−0.0195935	+	0.111120i
$537$	−10.0035	−	56.7329i	−0.431685	−	2.44821i
$538$	24.5841	−	8.94787i	1.05989	−	0.385770i
$539$	−0.181133	+	0.313732i	−0.00780195	+	0.0135134i
$540$	−18.5840	−	32.1884i	−0.799726	−	1.38517i
$541$	−8.72608	−	7.32205i	−0.375164	−	0.314800i	0.435637	−	0.900123i	$-0.356523\pi$
$541$	−8.72608	−	7.32205i	−0.375164	−	0.314800i	−0.810800	+	0.585323i	$0.800968\pi$
$542$	15.5358	+	13.0360i	0.667318	+	0.559946i
$543$	−14.1707	−	24.5444i	−0.608124	−	1.05330i
$544$	−2.31500	+	4.00970i	−0.0992548	+	0.171914i
$545$	−44.1986	+	16.0870i	−1.89326	+	0.689091i
$546$	−2.71495	−	15.3972i	−0.116189	−	0.658941i
$547$	−4.32057	+	24.5032i	−0.184734	+	1.04768i	0.741562	+	0.670885i	$0.234085\pi$
$547$	−4.32057	+	24.5032i	−0.184734	+	1.04768i	−0.926296	+	0.376796i	$0.877026\pi$
$548$	10.2228	+	3.72080i	0.436698	+	0.158945i
$549$	−48.4689	+	40.6702i	−2.06860	+	1.73576i
$550$	−4.92870			−0.210160
$551$	−3.08227	−	8.54959i	−0.131309	−	0.364225i
$552$	5.30866			0.225951
$553$	−0.424805	+	0.356454i	−0.0180645	+	0.0151580i
$554$	29.2930	+	10.6618i	1.24454	+	0.452975i
$555$	−16.6334	+	94.3329i	−0.706050	+	4.00421i
$556$	2.09888	+	11.9033i	0.0890122	+	0.504813i
$557$	−10.4852	+	3.81630i	−0.444272	+	0.161702i	−0.554463	−	0.832209i	$-0.687076\pi$
$557$	−10.4852	+	3.81630i	−0.444272	+	0.161702i	0.110190	+	0.993910i	$0.464854\pi$
$558$	5.95157	−	10.3084i	0.251950	−	0.436390i
$559$	10.4123	+	18.0346i	0.440393	+	0.762783i
$560$	−3.30423	−	2.77258i	−0.139629	−	0.117163i
$561$	3.83101	+	3.21460i	0.161746	+	0.135721i
$562$	−3.00455	−	5.20403i	−0.126739	−	0.219519i
$563$	9.42519	−	16.3249i	0.397224	−	0.688013i	−0.596158	−	0.802867i	$-0.703307\pi$
$563$	9.42519	−	16.3249i	0.397224	−	0.688013i	0.993382	+	0.114854i	$0.0366402\pi$
$564$	−9.17165	+	3.33821i	−0.386196	+	0.140564i
$565$	3.21611	+	18.2395i	0.135303	+	0.767340i
$566$	−2.13530	+	12.1099i	−0.0897533	+	0.509016i
$567$	−7.53843	−	2.74376i	−0.316584	−	0.115227i
$568$	11.1406	−	9.34806i	0.467449	−	0.392236i
$569$	−37.7923			−1.58434			−0.792168	−	0.610303i	$-0.791048\pi$
$569$	−37.7923			−1.58434			−0.792168	+	0.610303i	$0.791048\pi$
$570$	−0.171168	+	56.0587i	−0.00716945	+	2.34804i
$571$	−10.6904			−0.447380			−0.223690	−	0.974660i	$-0.571810\pi$
$571$	−10.6904			−0.447380			−0.223690	+	0.974660i	$0.571810\pi$
$572$	−1.45520	+	1.22106i	−0.0608448	+	0.0510549i
$573$	−45.8188	−	16.6767i	−1.91411	−	0.696678i
$574$	−0.471224	+	2.67244i	−0.0196685	+	0.111546i
$575$	4.20637	+	23.8555i	0.175418	+	0.994844i
$576$	−5.53480	+	2.01450i	−0.230617	+	0.0839376i
$577$	−10.3345	+	17.8998i	−0.430229	+	0.745179i	−0.996893	−	0.0787701i	$-0.974901\pi$
$577$	−10.3345	+	17.8998i	−0.430229	+	0.745179i	0.566663	+	0.823949i	$0.308234\pi$
$578$	2.21844	+	3.84245i	0.0922749	+	0.159825i
$579$	−2.08192	−	1.74694i	−0.0865216	−	0.0726002i
$580$	6.88927	+	5.78078i	0.286061	+	0.240034i
$581$	2.53155	+	4.38478i	0.105027	+	0.181911i
$582$	2.07010	−	3.58552i	0.0858085	−	0.148625i
$583$	3.99933	−	1.45564i	0.165635	−	0.0602863i
$584$	−0.454923	−	2.57999i	−0.0188248	−	0.106761i
$585$	23.1336	−	131.197i	0.956457	−	5.42434i
$586$	3.78372	+	1.37716i	0.156304	+	0.0568900i
$587$	7.13202	−	5.98448i	0.294370	−	0.247006i	−0.483626	−	0.875275i	$-0.660681\pi$
$587$	7.13202	−	5.98448i	0.294370	−	0.247006i	0.777996	+	0.628269i	$0.216236\pi$
$588$	−2.98161			−0.122960
$589$	−7.64215	+	4.38114i	−0.314889	+	0.180522i
$590$	−3.35320			−0.138049
$591$	63.3321	−	53.1420i	2.60514	−	2.18597i
$592$	6.99890	+	2.54739i	0.287653	+	0.104697i
$593$	−7.31442	+	41.4822i	−0.300367	+	1.70347i	0.344180	+	0.938904i	$0.388157\pi$
$593$	−7.31442	+	41.4822i	−0.300367	+	1.70347i	−0.644547	+	0.764564i	$0.722954\pi$
$594$	0.542062	+	3.07419i	0.0222411	+	0.126135i
$595$	−18.7665	+	6.83045i	−0.769352	+	0.280021i
$596$	9.90643	−	17.1584i	0.405783	−	0.702837i
$597$	−9.82166	−	17.0116i	−0.401974	−	0.696239i
$598$	7.15200	+	6.00124i	0.292467	+	0.245409i
$599$	−16.5251	−	13.8662i	−0.675196	−	0.566557i	0.239402	−	0.970921i	$-0.423049\pi$
$599$	−16.5251	−	13.8662i	−0.675196	−	0.566557i	−0.914598	+	0.404363i	$0.867493\pi$
$600$	−20.2827	−	35.1306i	−0.828037	−	1.43420i
$601$	−8.73920	+	15.1367i	−0.356479	+	0.617440i	−0.987370	−	0.158432i	$-0.949356\pi$
$601$	−8.73920	+	15.1367i	−0.356479	+	0.617440i	0.630891	+	0.775872i	$0.282690\pi$
$602$	3.73183	−	1.35828i	0.152098	−	0.0553592i
$603$	2.67184	+	15.1527i	0.108806	+	0.617067i
$604$	2.83537	−	16.0802i	0.115369	−	0.654292i
$605$	−44.0537	−	16.0343i	−1.79104	−	0.651885i
$606$	−0.636462	+	0.534055i	−0.0258545	+	0.0216945i
$607$	−13.8157			−0.560763			−0.280381	−	0.959889i	$-0.590461\pi$
$607$	−13.8157			−0.560763			−0.280381	+	0.959889i	$0.590461\pi$
$608$	4.29035	+	0.770018i	0.173997	+	0.0312284i
$609$	6.21661			0.251910
$610$	−35.4947	+	29.7836i	−1.43714	+	1.20590i
$611$	−16.1301	−	5.87087i	−0.652553	−	0.237510i
$612$	−4.73552	+	26.8564i	−0.191422	+	1.08561i
$613$	6.21398	+	35.2412i	0.250980	+	1.42338i	0.806184	+	0.591666i	$0.201529\pi$
$613$	6.21398	+	35.2412i	0.250980	+	1.42338i	−0.555203	+	0.831715i	$0.687360\pi$
$614$	−21.3132	+	7.75736i	−0.860130	+	0.313062i
$615$	−17.4500	+	30.2243i	−0.703652	+	1.21876i
$616$	0.181133	+	0.313732i	0.00729806	+	0.0126406i
$617$	−21.6082	−	18.1314i	−0.869913	−	0.729944i	0.0941668	−	0.995556i	$-0.469981\pi$
$617$	−21.6082	−	18.1314i	−0.869913	−	0.729944i	−0.964080	+	0.265613i	$0.914426\pi$
$618$	−25.0915	−	21.0542i	−1.00933	−	0.846926i
$619$	17.7373	+	30.7219i	0.712922	+	1.23482i	0.963756	+	0.266787i	$0.0859620\pi$
$619$	17.7373	+	30.7219i	0.712922	+	1.23482i	−0.250833	+	0.968030i	$0.580705\pi$
$620$	4.35845	−	7.54906i	0.175040	−	0.303177i
$621$	14.4168	−	5.24730i	0.578528	−	0.210567i
$622$	−2.93527	−	16.6467i	−0.117694	−	0.667474i
$623$	−1.22017	+	6.91994i	−0.0488851	+	0.277241i
$624$	−14.6919	−	5.34740i	−0.588146	−	0.214067i
$625$	70.5335	−	59.1847i	2.82134	−	2.36739i
$626$	1.39972			0.0559441
$627$	1.62380	−	4.41933i	0.0648485	−	0.176491i
$628$	−5.37439			−0.214462
$629$	26.4167	−	22.1662i	1.05330	−	0.883826i
$630$	−23.8737	−	8.68930i	−0.951150	−	0.346190i
$631$	7.57746	−	42.9739i	0.301654	−	1.71076i	−0.337198	−	0.941434i	$-0.609479\pi$
$631$	7.57746	−	42.9739i	0.301654	−	1.71076i	0.638852	−	0.769330i	$-0.279410\pi$
$632$	0.0962955	+	0.546119i	0.00383043	+	0.0217234i
$633$	11.0106	−	4.00755i	0.437634	−	0.159286i
$634$	5.47360	−	9.48056i	0.217385	−	0.376521i
$635$	−23.8149	−	41.2486i	−0.945066	−	1.63690i
$636$	26.8336	+	22.5161i	1.06402	+	0.892820i
$637$	−4.01693	−	3.37060i	−0.159156	−	0.133548i
$638$	−0.377659	−	0.654125i	−0.0149517	−	0.0258971i
$639$	42.8292	−	74.1824i	1.69430	−	2.93461i
$640$	−4.05324	+	1.47526i	−0.160219	+	0.0583148i
$641$	−0.783984	−	4.44620i	−0.0309655	−	0.175614i	0.965403	−	0.260764i	$-0.0839743\pi$
$641$	−0.783984	−	4.44620i	−0.0309655	−	0.175614i	−0.996368	+	0.0851495i	$0.972863\pi$
$642$	−1.86280	+	10.5645i	−0.0735189	+	0.416946i
$643$	4.06840	+	1.48078i	0.160442	+	0.0583961i	0.420992	−	0.907064i	$-0.361682\pi$
$643$	4.06840	+	1.48078i	0.160442	+	0.0583961i	−0.260551	+	0.965460i	$0.583904\pi$
$644$	1.36391	−	1.14446i	0.0537458	−	0.0450981i
$645$	51.0745			2.01106
$646$	13.0197	−	15.4204i	0.512253	−	0.606707i
$647$	21.4445			0.843071			0.421535	−	0.906812i	$-0.361491\pi$
$647$	21.4445			0.843071			0.421535	+	0.906812i	$0.361491\pi$
$648$	−6.14538	+	5.15659i	−0.241413	+	0.202570i
$649$	0.264641	+	0.0963213i	0.0103881	+	0.00378094i
$650$	12.3884	−	70.2580i	0.485912	−	2.75575i
$651$	−1.04632	−	5.93400i	−0.0410087	−	0.232572i
$652$	4.09271	−	1.48962i	0.160283	−	0.0583382i
$653$	−18.3578	+	31.7967i	−0.718397	+	1.24430i	0.243238	+	0.969967i	$0.421790\pi$
$653$	−18.3578	+	31.7967i	−0.718397	+	1.24430i	−0.961635	+	0.274333i	$0.911543\pi$
$654$	16.2565	+	28.1571i	0.635680	+	1.10103i
$655$	−12.8996	−	10.8241i	−0.504030	−	0.422931i
$656$	2.07879	+	1.74431i	0.0811632	+	0.0681040i
$657$	−7.71532	−	13.3633i	−0.301003	−	0.521353i
$658$	−1.63674	+	2.83492i	−0.0638069	+	0.110517i
$659$	−19.7238	+	7.17889i	−0.768331	+	0.279650i	−0.696298	−	0.717752i	$-0.745171\pi$
$659$	−19.7238	+	7.17889i	−0.768331	+	0.279650i	−0.0720331	+	0.997402i	$0.522949\pi$
$660$	0.809033	+	4.58825i	0.0314916	+	0.178598i
$661$	−0.176882	+	1.00315i	−0.00687990	+	0.0390179i	−0.988054	−	0.154105i	$-0.950751\pi$
$661$	−0.176882	+	1.00315i	−0.00687990	+	0.0390179i	0.981175	+	0.193123i	$0.0618617\pi$
$662$	2.93544	+	1.06841i	0.114089	+	0.0415250i
$663$	−55.4531	+	46.5307i	−2.15362	+	1.80710i
$664$	5.06311			0.196487
$665$	12.0414	+	14.4397i	0.466944	+	0.559946i
$666$	43.8692			1.69990
$667$	−2.84374	+	2.38618i	−0.110110	+	0.0923932i
$668$	22.4973	+	8.18834i	0.870445	+	0.316816i
$669$	7.95686	−	45.1256i	0.307630	−	1.74466i
$670$	1.95664	+	11.0966i	0.0755915	+	0.428701i
$671$	3.65684	−	1.33098i	0.141171	−	0.0513820i
$672$	−1.49081	+	2.58215i	−0.0575091	+	0.0996087i
$673$	22.7320	+	39.3730i	0.876256	+	1.51772i	0.855419	+	0.517937i	$0.173300\pi$
$673$	22.7320	+	39.3730i	0.876256	+	1.51772i	0.0208367	+	0.999783i	$0.493367\pi$
$674$	2.81063	+	2.35840i	0.108262	+	0.0908422i
$675$	−89.8068	−	75.3569i	−3.45667	−	2.90049i
$676$	−7.24833	−	12.5545i	−0.278782	−	0.482865i
$677$	−16.9751	+	29.4017i	−0.652405	+	1.13000i	0.330133	+	0.943934i	$0.392906\pi$
$677$	−16.9751	+	29.4017i	−0.652405	+	1.13000i	−0.982538	+	0.186063i	$0.940427\pi$
$678$	12.0304	−	4.37871i	0.462025	−	0.168164i
$679$	−0.241124	−	1.36748i	−0.00925349	−	0.0524792i
$680$	−3.46791	+	19.6675i	−0.132988	+	0.754214i
$681$	43.7221	+	15.9135i	1.67543	+	0.609808i
$682$	−0.560824	+	0.470587i	−0.0214751	+	0.0180197i
$683$	−1.09066			−0.0417330			−0.0208665	−	0.999782i	$-0.506643\pi$
$683$	−1.09066			−0.0417330			−0.0208665	+	0.999782i	$0.506643\pi$
$684$	25.2974	−	4.38102i	0.967271	−	0.167512i
$685$	46.9248			1.79290
$686$	−0.766044	+	0.642788i	−0.0292477	+	0.0245417i
$687$	25.1142	+	9.14081i	0.958166	+	0.348744i
$688$	0.689615	−	3.91100i	0.0262913	−	0.149105i
$689$	10.6975	+	60.6688i	0.407544	+	2.31130i
$690$	21.5173	−	7.83165i	0.819149	−	0.298146i
$691$	14.3121	−	24.7893i	0.544459	−	0.943031i	−0.454182	−	0.890909i	$-0.650068\pi$
$691$	14.3121	−	24.7893i	0.544459	−	0.943031i	0.998641	−	0.0521216i	$-0.0165984\pi$
$692$	2.67790	+	4.63826i	0.101799	+	0.176320i
$693$	1.63455	+	1.37155i	0.0620914	+	0.0521009i
$694$	10.9282	+	9.16984i	0.414828	+	0.348082i
$695$	26.0678	+	45.1507i	0.988806	+	1.71266i
$696$	3.10830	−	5.38374i	0.117820	−	0.204070i
$697$	11.8066	−	4.29724i	0.447206	−	0.162770i
$698$	0.555540	+	3.15063i	0.0210275	+	0.119253i
$699$	−7.88379	+	44.7112i	−0.298192	+	1.69113i
$700$	−12.7847	−	4.65324i	−0.483216	−	0.175876i
$701$	−24.1259	+	20.2440i	−0.911223	+	0.764607i	−0.972351	−	0.233523i	$-0.924975\pi$
$701$	−24.1259	+	20.2440i	−0.911223	+	0.764607i	0.0611283	+	0.998130i	$0.480530\pi$
$702$	−45.1847			−1.70539
$703$	−28.0662	−	16.3185i	−1.05854	−	0.615463i
$704$	0.362266			0.0136534
$705$	−32.2502	+	27.0611i	−1.21461	+	1.01918i
$706$	−2.78617	−	1.01408i	−0.104859	−	0.0381656i
$707$	−0.0483880	+	0.274422i	−0.00181982	+	0.0103207i
$708$	0.402498	+	2.28268i	0.0151268	+	0.0857885i
$709$	2.80884	−	1.02234i	0.105488	−	0.0383946i	−0.288737	−	0.957409i	$-0.593235\pi$
$709$	2.80884	−	1.02234i	0.105488	−	0.0383946i	0.394225	+	0.919014i	$0.371013\pi$
$710$	31.3647	−	54.3252i	1.17710	−	2.03879i
$711$	1.63313	+	2.82867i	0.0612473	+	0.106083i
$712$	5.38275	+	4.51667i	0.201727	+	0.169269i
$713$	2.75634	+	2.31284i	0.103226	+	0.0866166i
$714$	6.90243	+	11.9554i	0.258317	+	0.447418i
$715$	−4.09689	+	7.09603i	−0.153215	+	0.265376i
$716$	−18.1559	+	6.60821i	−0.678519	+	0.246961i
$717$	−9.78907	−	55.5166i	−0.365579	−	2.07330i
$718$	3.56651	−	20.2267i	0.133101	−	0.754853i
$719$	47.6946	+	17.3594i	1.77871	+	0.647397i	0.999795	+	0.0202671i	$0.00645167\pi$
$719$	47.6946	+	17.3594i	1.77871	+	0.647397i	0.778915	+	0.627130i	$0.215771\pi$
$720$	−19.4620	+	16.3305i	−0.725306	+	0.608604i
$721$	−10.9855			−0.409122
$722$	−17.8141	−	6.60729i	−0.662974	−	0.245898i
$723$	−55.7256			−2.07246
$724$	−7.28156	+	6.10996i	−0.270617	+	0.227075i
$725$	26.6558	+	9.70193i	0.989973	+	0.360321i
$726$	−5.62732	+	31.9141i	−0.208849	+	1.18444i
$727$	7.72551	+	43.8135i	0.286523	+	1.62495i	0.699793	+	0.714346i	$0.253276\pi$
$727$	7.72551	+	43.8135i	0.286523	+	1.62495i	−0.413270	+	0.910609i	$0.635613\pi$
$728$	−4.92749	+	1.79346i	−0.182625	+	0.0664701i
$729$	14.9129	−	25.8299i	0.552329	−	0.956662i
$730$	−5.65008	−	9.78622i	−0.209119	−	0.362204i
$731$	−14.0855	−	11.8191i	−0.520970	−	0.437145i
$732$	24.5357	+	20.5879i	0.906864	+	0.760950i
$733$	12.3137	+	21.3280i	0.454818	+	0.787767i	0.998678	−	0.0514086i	$-0.0163711\pi$
$733$	12.3137	+	21.3280i	0.454818	+	0.787767i	−0.543860	+	0.839176i	$0.683038\pi$
$734$	−4.61491	+	7.99325i	−0.170339	+	0.295036i
$735$	−12.0852	+	4.39865i	−0.445769	+	0.162247i
$736$	−0.309174	−	1.75342i	−0.0113963	−	0.0646317i
$737$	0.164332	−	0.931971i	0.00605324	−	0.0343296i
$738$	15.0196	+	5.46670i	0.552880	+	0.201232i
$739$	−22.9520	+	19.2590i	−0.844301	+	0.708453i	−0.958527	−	0.285002i	$-0.908006\pi$
$739$	−22.9520	+	19.2590i	−0.844301	+	0.708453i	0.114226	+	0.993455i	$0.463561\pi$
$740$	32.1263			1.18099
$741$	58.9156	+	34.2552i	2.16432	+	1.25840i
$742$	11.7483			0.431292
$743$	7.23748	−	6.07297i	0.265517	−	0.222796i	−0.500302	−	0.865851i	$-0.666778\pi$
$743$	7.23748	−	6.07297i	0.265517	−	0.222796i	0.765820	+	0.643055i	$0.222333\pi$
$744$	−5.66216	−	2.06086i	−0.207585	−	0.0755547i
$745$	14.8400	−	84.1619i	0.543696	−	3.08345i
$746$	3.22533	+	18.2918i	0.118088	+	0.669709i
$747$	28.0233	−	10.1997i	1.02532	−	0.373186i
$748$	0.838646	−	1.45258i	0.0306639	−	0.0531115i
$749$	1.79893	+	3.11584i	0.0657316	+	0.113850i
$750$	−84.7778	−	71.1370i	−3.09565	−	2.59756i
$751$	−6.77624	−	5.68594i	−0.247269	−	0.207483i	0.510727	−	0.859743i	$-0.329376\pi$
$751$	−6.77624	−	5.68594i	−0.247269	−	0.207483i	−0.757995	+	0.652260i	$0.773821\pi$
$752$	1.63674	+	2.83492i	0.0596859	+	0.103379i
$753$	−26.1434	+	45.2818i	−0.952720	+	1.65016i
$754$	10.2737	−	3.73933i	0.374147	−	0.136178i
$755$	−12.2300	−	69.3597i	−0.445095	−	2.52426i
$756$	−1.49631	+	8.48599i	−0.0544203	+	0.308633i
$757$	−21.5231	−	7.83377i	−0.782271	−	0.284723i	−0.0801517	−	0.996783i	$-0.525540\pi$
$757$	−21.5231	−	7.83377i	−0.782271	−	0.284723i	−0.702119	+	0.712059i	$0.747763\pi$
$758$	−6.03116	+	5.06074i	−0.219061	+	0.183814i
$759$	−1.92315			−0.0698058
$760$	18.5258	−	3.20830i	0.672001	−	0.116377i
$761$	20.6868			0.749894			0.374947	−	0.927046i	$-0.377661\pi$
$761$	20.6868			0.749894			0.374947	+	0.927046i	$0.377661\pi$
$762$	−25.2213	+	21.1632i	−0.913671	+	0.766661i
$763$	10.2469	+	3.72956i	0.370962	+	0.135019i
$764$	−2.83973	+	16.1049i	−0.102738	+	0.582655i
$765$	20.4260	+	115.842i	0.738505	+	4.18827i
$766$	13.7714	−	5.01238i	0.497581	−	0.181105i
$767$	−2.03823	+	3.53031i	−0.0735962	+	0.127472i
$768$	1.49081	+	2.58215i	0.0537948	+	0.0931754i
$769$	2.72164	+	2.28373i	0.0981450	+	0.0823534i	0.690540	−	0.723294i	$-0.257373\pi$
$769$	2.72164	+	2.28373i	0.0981450	+	0.0823534i	−0.592395	+	0.805648i	$0.701817\pi$
$770$	1.19701	+	1.00441i	0.0431373	+	0.0361965i
$771$	17.1872	+	29.7690i	0.618980	+	1.07211i
$772$	−0.455752	+	0.789386i	−0.0164029	+	0.0284106i
$773$	−28.1569	+	10.2483i	−1.01273	+	0.368605i	−0.794483	−	0.607287i	$-0.792258\pi$
$773$	−28.1569	+	10.2483i	−1.01273	+	0.368605i	−0.218252	+	0.975892i	$0.570036\pi$
$774$	−4.06184	−	23.0358i	−0.146000	−	0.828006i
$775$	4.77441	−	27.0770i	0.171502	−	0.972635i
$776$	−1.30484	−	0.474922i	−0.0468409	−	0.0170487i
$777$	17.0117	−	14.2746i	0.610293	−	0.512097i
$778$	−17.0207			−0.610223
$779$	−7.57558	−	9.08442i	−0.271423	−	0.325483i
$780$	−67.4385			−2.41469
$781$	−4.03586	+	3.38649i	−0.144414	+	0.121178i
$782$	−7.74640	−	2.81946i	−0.277011	−	0.100824i
$783$	3.11978	−	17.6931i	0.111492	−	0.632301i
$784$	0.173648	+	0.984808i	0.00620172	+	0.0351717i
$785$	−21.7837	+	7.92863i	−0.777494	+	0.282985i
$786$	−5.82006	+	10.0806i	−0.207595	+	0.359564i
$787$	−17.9138	−	31.0277i	−0.638559	−	1.10602i	−0.985749	−	0.168222i	$-0.946197\pi$
$787$	−17.9138	−	31.0277i	−0.638559	−	1.10602i	0.347190	−	0.937795i	$-0.387136\pi$
$788$	−21.2409	−	17.8232i	−0.756675	−	0.634926i
$789$	12.1999	+	10.2370i	0.434329	+	0.364445i
$790$	1.19598	+	2.07149i	0.0425509	+	0.0737003i
$791$	2.14691	−	3.71856i	0.0763353	−	0.132217i
$792$	2.00507	−	0.729786i	0.0712471	−	0.0259318i
$793$	9.78144	+	55.4733i	0.347349	+	1.96992i
$794$	−1.80965	+	10.2630i	−0.0642219	+	0.364221i
$795$	141.980	+	51.6765i	5.03552	+	1.83278i
$796$	−5.04682	+	4.23478i	−0.178880	+	0.150098i
$797$	−31.7865			−1.12594			−0.562968	−	0.826479i	$-0.690341\pi$
$797$	−31.7865			−1.12594			−0.562968	+	0.826479i	$0.690341\pi$
$798$	8.38438	−	9.93038i	0.296804	−	0.351532i
$799$	15.1562			0.536189
$800$	−10.4222	+	8.74524i	−0.368479	+	0.309191i
$801$	38.8913	+	14.1553i	1.37416	+	0.500152i
$802$	−5.22260	+	29.6188i	−0.184416	+	1.04588i
$803$	0.164803	+	0.934645i	0.00581577	+	0.0329829i
$804$	7.31915	−	2.66395i	0.258126	−	0.0939503i
$805$	3.83990	−	6.65091i	0.135339	−	0.234414i
$806$	−5.29853	−	9.17732i	−0.186633	−	0.323257i
$807$	−59.7548	−	50.1403i	−2.10347	−	1.76502i
$808$	0.213462	+	0.179116i	0.00750958	+	0.00630128i
$809$	6.10460	+	10.5735i	0.214626	+	0.371743i	0.953157	−	0.302476i	$-0.0978134\pi$
$809$	6.10460	+	10.5735i	0.214626	+	0.371743i	−0.738531	+	0.674220i	$0.764480\pi$
$810$	−17.3014	+	29.9669i	−0.607910	+	1.05293i
$811$	−44.2109	+	16.0915i	−1.55245	+	0.565047i	−0.968992	−	0.247092i	$-0.920525\pi$
$811$	−44.2109	+	16.0915i	−1.55245	+	0.565047i	−0.583463	+	0.812140i	$0.698303\pi$
$812$	−0.362053	−	2.05331i	−0.0127056	−	0.0720569i
$813$	10.5003	−	59.5499i	0.368260	−	2.08851i
$814$	−2.53546	−	0.922833i	−0.0888680	−	0.0323453i
$815$	14.3912	−	12.0756i	0.504101	−	0.422991i
$816$	13.8049			0.483267
$817$	−5.97023	+	16.2485i	−0.208872	+	0.568464i
$818$	11.0533			0.386471
$819$	−23.6598	+	19.8529i	−0.826739	+	0.693716i
$820$	10.9992	+	4.00337i	0.384108	+	0.139804i
$821$	4.54857	−	25.7962i	0.158746	−	0.900295i	−0.796534	−	0.604593i	$-0.793336\pi$
$821$	4.54857	−	25.7962i	0.158746	−	0.900295i	0.955280	−	0.295701i	$-0.0955533\pi$
$822$	−5.63257	−	31.9439i	−0.196458	−	1.11417i
$823$	−34.4822	+	12.5505i	−1.20197	+	0.437483i	−0.863913	−	0.503642i	$-0.831993\pi$
$823$	−34.4822	+	12.5505i	−1.20197	+	0.437483i	−0.338061	+	0.941124i	$0.609771\pi$
$824$	−5.49276	+	9.51375i	−0.191349	+	0.331427i
$825$	7.34773	+	12.7266i	0.255815	+	0.443085i
$826$	0.595521	+	0.499701i	0.0207208	+	0.0173868i
$827$	28.2793	+	23.7291i	0.983367	+	0.825143i	0.984594	−	0.174856i	$-0.0559460\pi$
$827$	28.2793	+	23.7291i	0.983367	+	0.825143i	−0.00122669	+	0.999999i	$0.500390\pi$
$828$	−5.24348	−	9.08197i	−0.182224	−	0.315620i
$829$	19.0894	−	33.0638i	0.663002	−	1.14835i	−0.316821	−	0.948485i	$-0.602615\pi$
$829$	19.0894	−	33.0638i	0.663002	−	1.14835i	0.979823	−	0.199868i	$-0.0640512\pi$
$830$	20.5220	−	7.46940i	0.712330	−	0.259267i
$831$	−16.1398	−	91.5336i	−0.559885	−	3.17527i
$832$	−0.910564	+	5.16406i	−0.0315681	+	0.179032i
$833$	4.35077	+	1.58355i	0.150745	+	0.0548668i
$834$	27.6072	−	23.1652i	0.955958	−	0.802144i
$835$	103.267			3.57370
$836$	−1.55425	−	0.278952i	−0.0537548	−	0.00964774i
$837$	−17.4139			−0.601913
$838$	11.0551	−	9.27636i	0.381893	−	0.320446i
$839$	−4.77718	−	1.73875i	−0.164927	−	0.0600283i	0.258237	−	0.966081i	$-0.416858\pi$
$839$	−4.77718	−	1.73875i	−0.164927	−	0.0600283i	−0.423164	+	0.906053i	$0.639081\pi$
$840$	−2.23326	+	12.6654i	−0.0770546	+	0.436999i
$841$	−4.28092	−	24.2783i	−0.147618	−	0.837183i
$842$	25.0012	−	9.09968i	0.861597	−	0.313596i
$843$	−8.95840	+	15.5164i	−0.308544	+	0.534414i
$844$	−1.96492	−	3.40335i	−0.0676355	−	0.117148i
$845$	−47.9004	−	40.1932i	−1.64782	−	1.38269i
$846$	14.7700	+	12.3935i	0.507803	+	0.426098i
$847$	5.43438	+	9.41263i	0.186728	+	0.323422i
$848$	5.87413	−	10.1743i	0.201718	−	0.349387i
$849$	34.4529	−	12.5398i	1.18242	−	0.430366i
$850$	10.9384	+	62.0350i	0.375185	+	2.12778i
$851$	−2.30275	+	13.0596i	−0.0789373	+	0.447676i
$852$	−40.7466	−	14.8305i	−1.39595	−	0.508086i
$853$	−7.80928	+	6.55276i	−0.267385	+	0.224362i	−0.766615	−	0.642107i	$-0.778061\pi$
$853$	−7.80928	+	6.55276i	−0.267385	+	0.224362i	0.499230	+	0.866469i	$0.333616\pi$
$854$	10.7422			0.367590
$855$	96.0735	−	55.0776i	3.28564	−	1.88361i
$856$	3.59786			0.122972
$857$	6.15023	−	5.16066i	0.210088	−	0.176285i	−0.531672	−	0.846951i	$-0.678436\pi$
$857$	6.15023	−	5.16066i	0.210088	−	0.176285i	0.741760	+	0.670666i	$0.233992\pi$
$858$	5.32237	+	1.93718i	0.181703	+	0.0661344i
$859$	7.16078	−	40.6108i	0.244323	−	1.38562i	−0.577738	−	0.816222i	$-0.696064\pi$
$859$	7.16078	−	40.6108i	0.244323	−	1.38562i	0.822061	−	0.569400i	$-0.192824\pi$
$860$	−2.97456	−	16.8696i	−0.101432	−	0.575248i
$861$	7.60316	−	2.76732i	0.259115	−	0.0943102i
$862$	−10.1054	+	17.5031i	−0.344193	+	0.596160i
$863$	−0.276120	−	0.478253i	−0.00939923	−	0.0162799i	0.861288	−	0.508118i	$-0.169659\pi$
$863$	−0.276120	−	0.478253i	−0.00939923	−	0.0162799i	−0.870687	+	0.491838i	$0.836325\pi$
$864$	6.60093	+	5.53884i	0.224568	+	0.188435i
$865$	17.6968	+	14.8494i	0.601710	+	0.504895i
$866$	18.0697	+	31.2976i	0.614032	+	1.06353i
$867$	6.61453	−	11.4567i	0.224641	−	0.389090i
$868$	−1.89903	+	0.691189i	−0.0644571	+	0.0234605i
$869$	−0.0348846	−	0.197840i	−0.00118338	−	0.00671127i
$870$	4.65630	−	26.4072i	0.157863	−	0.895287i
$871$	12.8721	+	4.68506i	0.436154	+	0.158747i
$872$	8.35334	−	7.00928i	0.282880	−	0.237364i
$873$	−8.17875			−0.276809
$874$	−0.0236967	+	7.76083i	−0.000801553	+	0.262514i
$875$	−37.1173			−1.25479
$876$	−5.98374	+	5.02095i	−0.202172	+	0.169642i
$877$	−38.0184	−	13.8376i	−1.28379	−	0.467261i	−0.392105	−	0.919920i	$-0.628253\pi$
$877$	−38.0184	−	13.8376i	−1.28379	−	0.467261i	−0.891684	+	0.452659i	$0.850475\pi$
$878$	−3.29634	+	18.6945i	−0.111246	+	0.630909i
$879$	−2.08475	−	11.8232i	−0.0703170	−	0.398787i
$880$	1.46835	−	0.534437i	0.0494982	−	0.0180159i
$881$	−12.9475	+	22.4258i	−0.436213	+	0.755544i	−0.997394	−	0.0721499i	$-0.977014\pi$
$881$	−12.9475	+	22.4258i	−0.436213	+	0.755544i	0.561181	+	0.827693i	$0.310347\pi$
$882$	2.94501	+	5.10090i	0.0991635	+	0.171756i
$883$	39.1627	+	32.8614i	1.31793	+	1.10588i	0.986740	+	0.162312i	$0.0518951\pi$
$883$	39.1627	+	32.8614i	1.31793	+	1.10588i	0.331192	+	0.943564i	$0.392549\pi$
$884$	18.5984	+	15.6059i	0.625531	+	0.524883i
$885$	4.99897	+	8.65848i	0.168039	+	0.291052i
$886$	−16.1411	+	27.9573i	−0.542272	+	0.939242i
$887$	29.2933	−	10.6619i	0.983574	−	0.357992i	0.200345	−	0.979725i	$-0.435794\pi$
$887$	29.2933	−	10.6619i	0.983574	−	0.357992i	0.783229	+	0.621734i	$0.213571\pi$
$888$	−3.85625	−	21.8699i	−0.129407	−	0.733905i
$889$	−1.91749	+	10.8746i	−0.0643104	+	0.364723i
$890$	28.4809	+	10.3662i	0.954681	+	0.347476i
$891$	2.22626	−	1.86806i	0.0745826	−	0.0625823i
$892$	−15.3681			−0.514562
$893$	−4.83925	−	13.4231i	−0.161939	−	0.449188i
$894$	−59.0743			−1.97574
$895$	−63.8415	+	53.5694i	−2.13399	+	1.79063i
$896$	0.939693	+	0.342020i	0.0313929	+	0.0114261i
$897$	4.83387	−	27.4142i	0.161398	−	0.915334i
$898$	1.91273	+	10.8476i	0.0638286	+	0.361990i
$899$	3.95943	−	1.44112i	0.132055	−	0.0480639i
$900$	−40.0673	+	69.3987i	−1.33558	+	2.31329i
$901$	−27.1972	−	47.1070i	−0.906070	−	1.56936i
$902$	−0.753076	−	0.631906i	−0.0250747	−	0.0210402i
$903$	−9.07071	−	7.61123i	−0.301854	−	0.253286i
$904$	−2.14691	−	3.71856i	−0.0714051	−	0.123677i
$905$	−20.5002	+	35.5074i	−0.681449	+	1.18030i
$906$	−45.7484	+	16.6511i	−1.51989	+	0.553194i
$907$	−1.35040	−	7.65850i	−0.0448393	−	0.254296i	0.954146	−	0.299343i	$-0.0967675\pi$
$907$	−1.35040	−	7.65850i	−0.0448393	−	0.254296i	−0.998985	+	0.0450467i	$0.985656\pi$
$908$	2.70978	−	15.3679i	0.0899272	−	0.510003i
$909$	1.54230	+	0.561352i	0.0511549	+	0.0186189i
$910$	−17.3265	+	14.5387i	−0.574368	+	0.481952i
$911$	−13.8287			−0.458166			−0.229083	−	0.973407i	$-0.573573\pi$
$911$	−13.8287			−0.458166			−0.229083	+	0.973407i	$0.573573\pi$
$912$	−4.40777	−	12.2263i	−0.145956	−	0.404852i
$913$	−1.83419			−0.0607029
$914$	1.47291	−	1.23591i	0.0487194	−	0.0408804i
$915$	129.821	+	47.2512i	4.29177	+	1.56208i
$916$	1.55651	−	8.82741i	0.0514286	−	0.291666i
$917$	0.677916	+	3.84465i	0.0223868	+	0.126962i
$918$	37.4902	−	13.6453i	1.23736	−	0.450363i
$919$	26.2335	−	45.4378i	0.865365	−	1.49886i	−0.00131984	−	0.999999i	$-0.500420\pi$
$919$	26.2335	−	45.4378i	0.865365	−	1.49886i	0.866685	−	0.498857i	$-0.166247\pi$
$920$	−3.83990	−	6.65091i	−0.126598	−	0.219274i
$921$	51.8045	+	43.4691i	1.70702	+	1.43236i
$922$	2.91919	+	2.44949i	0.0961382	+	0.0806696i
$923$	−38.1298	−	66.0427i	−1.25506	−	2.17382i
$924$	0.540069	−	0.935426i	0.0177670	−	0.0307733i
$925$	95.2212	−	34.6577i	3.13085	−	1.13954i
$926$	6.06217	+	34.3803i	0.199215	+	1.12981i
$927$	−11.2359	+	63.7219i	−0.369035	+	2.09290i
$928$	−1.95924	−	0.713106i	−0.0643153	−	0.0234088i
$929$	34.2441	−	28.7342i	1.12351	−	0.942738i	0.124735	−	0.992190i	$-0.460192\pi$
$929$	34.2441	−	28.7342i	1.12351	−	0.942738i	0.998777	+	0.0494516i	$0.0157473\pi$
$930$	−25.9904			−0.852259
$931$	0.0133093	−	4.35888i	0.000436194	−	0.142856i
$932$	15.2270			0.498776
$933$	−38.6085	+	32.3964i	−1.26399	+	1.06061i
$934$	−31.2470	−	11.3730i	−1.02243	−	0.372135i
$935$	1.25631	−	7.12487i	0.0410856	−	0.233008i
$936$	5.36323	+	30.4164i	0.175303	+	0.994191i
$937$	31.9133	−	11.6155i	1.04256	−	0.379462i	0.236712	−	0.971580i	$-0.423930\pi$
$937$	31.9133	−	11.6155i	1.04256	−	0.379462i	0.805851	+	0.592118i	$0.201708\pi$
$938$	1.30615	−	2.26232i	0.0426473	−	0.0738674i
$939$	−2.08671	−	3.61429i	−0.0680973	−	0.117948i
$940$	10.8164	+	9.07601i	0.352791	+	0.296027i
$941$	2.44229	+	2.04933i	0.0796164	+	0.0668061i	0.681727	−	0.731606i	$-0.261229\pi$
$941$	2.44229	+	2.04933i	0.0796164	+	0.0668061i	−0.602111	+	0.798412i	$0.705673\pi$
$942$	8.01218	+	13.8775i	0.261051	+	0.452153i
$943$	−2.41580	+	4.18428i	−0.0786692	+	0.136259i
$944$	0.730514	−	0.265885i	0.0237762	−	0.00865383i
$945$	6.45414	+	36.6032i	0.209953	+	1.19070i
$946$	−0.249824	+	1.41682i	−0.00812248	+	0.0460649i
$947$	5.12303	+	1.86463i	0.166476	+	0.0605924i	0.423914	−	0.905703i	$-0.360656\pi$
$947$	5.12303	+	1.86463i	0.166476	+	0.0605924i	−0.257438	+	0.966295i	$0.582878\pi$
$948$	1.26660	−	1.06281i	0.0411374	−	0.0345184i
$949$	−13.7375			−0.445938
$950$	51.4487	−	29.4948i	1.66922	−	0.956939i
$951$	−32.6403			−1.05843
$952$	3.54678	−	2.97611i	0.114952	−	0.0964561i
$953$	10.4562	+	3.80573i	0.338708	+	0.123280i	0.505774	−	0.862666i	$-0.331207\pi$
$953$	10.4562	+	3.80573i	0.338708	+	0.123280i	−0.167066	+	0.985946i	$0.553429\pi$
$954$	12.0160	−	68.1462i	0.389033	−	2.20631i
$955$	12.2488	+	69.4664i	0.396362	+	2.24788i
$956$	−17.7667	+	6.46653i	−0.574615	+	0.209143i
$957$	−1.12603	+	1.95035i	−0.0363995	+	0.0630458i
$958$	1.65741	+	2.87071i	0.0535484	+	0.0927485i
$959$	−8.33372	−	6.99283i	−0.269110	−	0.225810i
$960$	9.85195	+	8.26677i	0.317970	+	0.266809i
$961$	13.4580	+	23.3099i	0.434128	+	0.751932i
$962$	19.5278	−	33.8232i	0.629602	−	1.09050i
$963$	19.9135	−	7.24791i	0.641703	−	0.233561i
$964$	3.24544	+	18.4058i	0.104529	+	0.592812i
$965$	−0.682725	+	3.87193i	−0.0219777	+	0.124642i
$966$	−4.98850	−	1.81567i	−0.160502	−	0.0584181i
$967$	−37.9340	+	31.8304i	−1.21987	+	1.02360i	−0.221043	+	0.975264i	$0.570946\pi$
$967$	−37.9340	+	31.8304i	−1.21987	+	1.02360i	−0.998831	+	0.0483324i	$0.984609\pi$
$968$	10.8688			0.349335
$969$	−59.2276	−	10.6300i	−1.90267	−	0.341485i
$970$	−5.98945			−0.192310
$971$	8.92005	−	7.48481i	0.286258	−	0.240199i	−0.488339	−	0.872654i	$-0.662397\pi$
$971$	8.92005	−	7.48481i	0.286258	−	0.240199i	0.774597	+	0.632455i	$0.217953\pi$
$972$	−1.81505	−	0.660626i	−0.0582179	−	0.0211896i
$973$	2.09888	−	11.9033i	0.0672869	−	0.381603i
$974$	−3.88577	−	22.0373i	−0.124508	−	0.706120i
$975$	−199.886	+	72.7524i	−6.40146	+	2.32994i
$976$	5.37109	−	9.30301i	0.171924	−	0.297782i
$977$	−18.0902	−	31.3331i	−0.578757	−	1.00244i	−0.995622	−	0.0934678i	$-0.970205\pi$
$977$	−18.0902	−	31.3331i	−0.578757	−	1.00244i	0.416866	−	0.908968i	$-0.363129\pi$
$978$	−9.94788	−	8.34726i	−0.318098	−	0.266916i
$979$	−1.94999	−	1.63624i	−0.0623219	−	0.0522943i
$980$	2.15669	+	3.73549i	0.0688928	+	0.119326i
$981$	32.1139	−	55.6228i	1.02532	−	1.77590i
$982$	−4.65141	+	1.69297i	−0.148432	+	0.0540250i
$983$	−1.67387	−	9.49300i	−0.0533882	−	0.302780i	0.946408	−	0.322974i	$-0.104683\pi$
$983$	−1.67387	−	9.49300i	−0.0533882	−	0.302780i	−0.999796	+	0.0201943i	$0.993572\pi$
$984$	1.40501	−	7.96819i	0.0447900	−	0.254017i
$985$	−112.388	−	40.9060i	−3.58099	−	1.30337i
$986$	−7.39498	+	6.20513i	−0.235504	+	0.197611i
$987$	9.76027			0.310673
$988$	7.88306	−	21.4545i	0.250793	−	0.682557i
$989$	7.07082			0.224839
$990$	7.05042	−	5.91601i	0.224077	−	0.188023i
$991$	−47.0027	−	17.1076i	−1.49309	−	0.543440i	−0.538829	−	0.842415i	$-0.681133\pi$
$991$	−47.0027	−	17.1076i	−1.49309	−	0.543440i	−0.954261	+	0.298975i	$0.903355\pi$
$992$	−0.350926	+	1.99020i	−0.0111419	+	0.0631889i
$993$	−1.61737	−	9.17254i	−0.0513256	−	0.291082i
$994$	−13.6659	+	4.97400i	−0.433458	+	0.157766i
$995$	−14.2086	+	24.6100i	−0.450442	+	0.780189i
$996$	−7.54812	−	13.0737i	−0.239171	−	0.414257i
$997$	21.1211	+	17.7227i	0.668912	+	0.561284i	0.912743	−	0.408534i	$-0.133960\pi$
$997$	21.1211	+	17.7227i	0.668912	+	0.561284i	−0.243831	+	0.969818i	$0.578404\pi$
$998$	15.5445	+	13.0434i	0.492052	+	0.412880i
$999$	−32.0897	−	55.5809i	−1.01527	−	1.75850i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	266.2.u.d.253.4	yes	24
19.4	even	9		5054.2.a.bl.1.2		12
19.15	odd	18		5054.2.a.bm.1.11		12
19.16	even	9	inner	266.2.u.d.225.4	✓	24

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
266.2.u.d.225.4	✓	24	19.16	even	9	inner
266.2.u.d.253.4	yes	24	1.1	even	1	trivial
5054.2.a.bl.1.2		12	19.4	even	9
5054.2.a.bm.1.11		12	19.15	odd	18

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:	\( N \)	\(=\)	\( 266 = 2 \cdot 7 \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	266.u (of order \(9\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-0.766044 + 0.642788i) q^{2} +(2.80180 + 1.01977i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.749009 - 4.24784i) q^{5} +(-2.80180 + 1.01977i) q^{6} +(-0.500000 + 0.866025i) q^{7} +(0.500000 + 0.866025i) q^{8} +(4.51201 + 3.78603i) q^{9} +O(q^{10})\)	\(q+(-0.766044 + 0.642788i) q^{2} +(2.80180 + 1.01977i) q^{3} +(0.173648 - 0.984808i) q^{4} +(-0.749009 - 4.24784i) q^{5} +(-2.80180 + 1.01977i) q^{6} +(-0.500000 + 0.866025i) q^{7} +(0.500000 + 0.866025i) q^{8} +(4.51201 + 3.78603i) q^{9} +(3.30423 + 2.77258i) q^{10} +(-0.181133 - 0.313732i) q^{11} +(1.49081 - 2.58215i) q^{12} +(4.92749 - 1.79346i) q^{13} +(-0.173648 - 0.984808i) q^{14} +(2.23326 - 12.6654i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(-3.54678 + 2.97611i) q^{17} -5.89001 q^{18} +(3.76824 + 2.19097i) q^{19} -4.31337 q^{20} +(-2.28405 + 1.91654i) q^{21} +(0.340419 + 0.123902i) q^{22} +(0.309174 - 1.75342i) q^{23} +(0.517752 + 2.93632i) q^{24} +(-12.7847 + 4.65324i) q^{25} +(-2.62186 + 4.54120i) q^{26} +(4.30845 + 7.46246i) q^{27} +(0.766044 + 0.642788i) q^{28} +(-1.59719 - 1.34020i) q^{29} +(6.43040 + 11.1378i) q^{30} +(-1.01045 + 1.75015i) q^{31} +(0.939693 - 0.342020i) q^{32} +(-0.187564 - 1.06373i) q^{33} +(0.803991 - 4.55966i) q^{34} +(4.05324 + 1.47526i) q^{35} +(4.51201 - 3.78603i) q^{36} -7.44807 q^{37} +(-4.29497 + 0.743804i) q^{38} +15.6348 q^{39} +(3.30423 - 2.77258i) q^{40} +(-2.55002 - 0.928130i) q^{41} +(0.517752 - 2.93632i) q^{42} +(0.689615 + 3.91100i) q^{43} +(-0.340419 + 0.123902i) q^{44} +(12.7029 - 22.0021i) q^{45} +(0.890232 + 1.54193i) q^{46} +(-2.50764 - 2.10416i) q^{47} +(-2.28405 - 1.91654i) q^{48} +(-0.500000 - 0.866025i) q^{49} +(6.80259 - 11.7824i) q^{50} +(-12.9723 + 4.72154i) q^{51} +(-0.910564 - 5.16406i) q^{52} +(-2.04006 + 11.5698i) q^{53} +(-8.09724 - 2.94715i) q^{54} +(-1.19701 + 1.00441i) q^{55} -1.00000 q^{56} +(8.32358 + 9.98140i) q^{57} +2.08498 q^{58} +(-0.595521 + 0.499701i) q^{59} +(-12.0852 - 4.39865i) q^{60} +(-1.86536 + 10.5790i) q^{61} +(-0.350926 - 1.99020i) q^{62} +(-5.53480 + 2.01450i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-11.3091 - 19.5879i) q^{65} +(0.827433 + 0.694299i) q^{66} +(2.00114 + 1.67916i) q^{67} +(2.31500 + 4.00970i) q^{68} +(2.65433 - 4.59743i) q^{69} +(-4.05324 + 1.47526i) q^{70} +(-2.52537 - 14.3221i) q^{71} +(-1.02279 + 5.80053i) q^{72} +(-2.46180 - 0.896023i) q^{73} +(5.70555 - 4.78753i) q^{74} -40.5654 q^{75} +(2.81203 - 3.33054i) q^{76} +0.362266 q^{77} +(-11.9769 + 10.0498i) q^{78} +(0.521100 + 0.189665i) q^{79} +(-0.749009 + 4.24784i) q^{80} +(1.39304 + 7.90035i) q^{81} +(2.55002 - 0.928130i) q^{82} +(2.53155 - 4.38478i) q^{83} +(1.49081 + 2.58215i) q^{84} +(15.2986 + 12.8370i) q^{85} +(-3.04222 - 2.55272i) q^{86} +(-3.10830 - 5.38374i) q^{87} +(0.181133 - 0.313732i) q^{88} +(6.60293 - 2.40327i) q^{89} +(4.41167 + 25.0199i) q^{90} +(-0.910564 + 5.16406i) q^{91} +(-1.67309 - 0.608955i) q^{92} +(-4.61583 + 3.87315i) q^{93} +3.27349 q^{94} +(6.48443 - 17.6480i) q^{95} +2.98161 q^{96} +(-1.06371 + 0.892561i) q^{97} +(0.939693 + 0.342020i) q^{98} +(0.370522 - 2.10134i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9}+O(q^{10}) \) 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9	\( 24 q - 12 q^{7} + 12 q^{8} + 6 q^{9} + 9 q^{10} - 3 q^{11} + 3 q^{12} + 6 q^{13} - 24 q^{15} - 15 q^{17} - 42 q^{18} + 30 q^{19} + 6 q^{20} - 9 q^{22} - 24 q^{23} - 6 q^{25} + 6 q^{26} + 21 q^{27} + 27 q^{29} + 6 q^{30} + 3 q^{31} + 15 q^{33} - 30 q^{34} + 9 q^{35} + 6 q^{36} - 54 q^{37} + 3 q^{38} + 54 q^{39} + 9 q^{40} - 15 q^{41} + 6 q^{43} + 9 q^{44} - 30 q^{45} + 12 q^{46} + 3 q^{47} - 12 q^{49} + 33 q^{50} - 39 q^{51} - 3 q^{52} - 33 q^{53} - 18 q^{54} - 15 q^{55} - 24 q^{56} + 87 q^{57} + 12 q^{58} + 66 q^{59} + 3 q^{60} - 72 q^{61} - 39 q^{62} - 12 q^{63} - 12 q^{64} - 9 q^{65} + 30 q^{66} - 30 q^{67} - 3 q^{68} + 18 q^{69} - 9 q^{70} + 45 q^{71} - 6 q^{72} - 27 q^{73} + 6 q^{74} - 66 q^{75} + 9 q^{76} + 6 q^{77} - 18 q^{78} + 12 q^{79} + 24 q^{81} + 15 q^{82} - 9 q^{83} + 3 q^{84} + 78 q^{85} + 30 q^{86} + 45 q^{87} + 3 q^{88} - 48 q^{89} - 3 q^{90} - 3 q^{91} - 6 q^{92} - 3 q^{93} - 42 q^{94} - 3 q^{95} + 6 q^{96} - 21 q^{97} - 150 q^{99}+O(q^{100}) \) 24 * q - 12 * q^7 + 12 * q^8 + 6 * q^9 + 9 * q^10 - 3 * q^11 + 3 * q^12 + 6 * q^13 - 24 * q^15 - 15 * q^17 - 42 * q^18 + 30 * q^19 + 6 * q^20 - 9 * q^22 - 24 * q^23 - 6 * q^25 + 6 * q^26 + 21 * q^27 + 27 * q^29 + 6 * q^30 + 3 * q^31 + 15 * q^33 - 30 * q^34 + 9 * q^35 + 6 * q^36 - 54 * q^37 + 3 * q^38 + 54 * q^39 + 9 * q^40 - 15 * q^41 + 6 * q^43 + 9 * q^44 - 30 * q^45 + 12 * q^46 + 3 * q^47 - 12 * q^49 + 33 * q^50 - 39 * q^51 - 3 * q^52 - 33 * q^53 - 18 * q^54 - 15 * q^55 - 24 * q^56 + 87 * q^57 + 12 * q^58 + 66 * q^59 + 3 * q^60 - 72 * q^61 - 39 * q^62 - 12 * q^63 - 12 * q^64 - 9 * q^65 + 30 * q^66 - 30 * q^67 - 3 * q^68 + 18 * q^69 - 9 * q^70 + 45 * q^71 - 6 * q^72 - 27 * q^73 + 6 * q^74 - 66 * q^75 + 9 * q^76 + 6 * q^77 - 18 * q^78 + 12 * q^79 + 24 * q^81 + 15 * q^82 - 9 * q^83 + 3 * q^84 + 78 * q^85 + 30 * q^86 + 45 * q^87 + 3 * q^88 - 48 * q^89 - 3 * q^90 - 3 * q^91 - 6 * q^92 - 3 * q^93 - 42 * q^94 - 3 * q^95 + 6 * q^96 - 21 * q^97 - 150 * q^99

Introduction

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