LMFDB - Embedded newform 99.2.m.b.4.7

Show commands: Magma / Pari/GP / SageMath

Newspace parameters

comment:Compute space of new eigenforms

gp:[N,k,chi] = [99,2,Mod(4,99)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)

sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(99, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([10, 6])) N = Newforms(chi, 2, names="a")

magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("99.4"); S:= CuspForms(chi, 2); N := Newforms(S);

Level:	$ N $	$=$	$ 99 = 3^{2} \cdot 11 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	99.m (of order $15$, degree $8$, minimal)

Newform invariants

comment:select newform

sage:traces = [72] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(1)] == traces)

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

Self dual:	no
Analytic conductor:	$0.790518980011$
Analytic rank:	$0$
Dimension:	$72$
Relative dimension:	$9$ over $\Q(\zeta_{15})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label			4.7
Character	$\chi$	$=$	99.4
Dual form			99.2.m.b.25.7

$q$-expansion

comment:q-expansion

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

gp:mfcoefs(f, 20)

$f(q)$	$=$	\(q+(0.122179 - 1.16246i) q^{2} +(-0.613763 + 1.61966i) q^{3} +(0.619915 + 0.131767i) q^{4} +(0.331034 + 3.14958i) q^{5} +(1.80780 + 0.911362i) q^{6} +(0.166529 - 0.184949i) q^{7} +(0.951310 - 2.92783i) q^{8} +(-2.24659 - 1.98817i) q^{9} +3.70170 q^{10} +(-2.61205 - 2.04382i) q^{11} +(-0.593899 + 0.923178i) q^{12} +(4.68720 - 2.08688i) q^{13} +(-0.194649 - 0.216179i) q^{14} +(-5.30442 - 1.39693i) q^{15} +(-2.12930 - 0.948027i) q^{16} +(-3.72392 + 2.70559i) q^{17} +(-2.58565 + 2.36865i) q^{18} +(0.246338 - 0.758149i) q^{19} +(-0.209798 + 1.99609i) q^{20} +(0.197345 + 0.383234i) q^{21} +(-2.69499 + 2.78668i) q^{22} +(2.46653 - 4.27215i) q^{23} +(4.15821 + 3.33779i) q^{24} +(-4.91954 + 1.04568i) q^{25} +(-1.85323 - 5.70365i) q^{26} +(4.59904 - 2.41844i) q^{27} +(0.127604 - 0.0927096i) q^{28} +(-1.05181 + 1.16815i) q^{29} +(-2.27197 + 5.99549i) q^{30} +(-7.68019 + 3.41944i) q^{31} +(1.71631 - 2.97273i) q^{32} +(4.91347 - 2.97621i) q^{33} +(2.69014 + 4.65947i) q^{34} +(0.637638 + 0.463271i) q^{35} +(-1.13072 - 1.52853i) q^{36} +(-0.146442 - 0.450701i) q^{37} +(-0.851219 - 0.378987i) q^{38} +(0.503199 + 8.87252i) q^{39} +(9.53636 + 2.02702i) q^{40} +(0.0628793 + 0.0698346i) q^{41} +(0.469605 - 0.182582i) q^{42} +(-5.01977 - 8.69450i) q^{43} +(-1.34994 - 1.61118i) q^{44} +(5.51821 - 7.73397i) q^{45} +(-4.66484 - 3.38920i) q^{46} +(3.05942 - 0.650300i) q^{47} +(2.84237 - 2.86688i) q^{48} +(0.725225 + 6.90005i) q^{49} +(0.614493 + 5.84651i) q^{50} +(-2.09652 - 7.69207i) q^{51} +(3.18065 - 0.676068i) q^{52} +(9.39421 + 6.82530i) q^{53} +(-2.24943 - 5.64167i) q^{54} +(5.57250 - 8.90343i) q^{55} +(-0.383079 - 0.663512i) q^{56} +(1.07675 + 0.864307i) q^{57} +(1.22941 + 1.36540i) q^{58} +(-2.44519 - 0.519741i) q^{59} +(-3.10422 - 1.56493i) q^{60} +(-3.66447 - 1.63153i) q^{61} +(3.03660 + 9.34568i) q^{62} +(-0.741832 + 0.0844164i) q^{63} +(-7.01731 - 5.09837i) q^{64} +(8.12442 + 14.0719i) q^{65} +(-2.85939 - 6.07533i) q^{66} +(-2.07692 + 3.59733i) q^{67} +(-2.66502 + 1.18654i) q^{68} +(5.40557 + 6.61702i) q^{69} +(0.616439 - 0.684625i) q^{70} +(-0.299145 + 0.217341i) q^{71} +(-7.95824 + 4.68627i) q^{72} +(3.14685 + 9.68501i) q^{73} +(-0.541814 + 0.115166i) q^{74} +(1.32578 - 8.60977i) q^{75} +(0.252607 - 0.437529i) q^{76} +(-0.812983 + 0.142741i) q^{77} +(10.3754 + 0.499091i) q^{78} +(-1.22335 + 11.6394i) q^{79} +(2.28102 - 7.02024i) q^{80} +(1.09434 + 8.93322i) q^{81} +(0.0888623 - 0.0645622i) q^{82} +(-0.973081 - 0.433244i) q^{83} +(0.0718395 + 0.263576i) q^{84} +(-9.75421 - 10.8331i) q^{85} +(-10.7203 + 4.77299i) q^{86} +(-1.24644 - 2.42053i) q^{87} +(-8.46883 + 5.70333i) q^{88} -8.39173 q^{89} +(-8.31620 - 7.35962i) q^{90} +(0.394588 - 1.21442i) q^{91} +(2.09197 - 2.32337i) q^{92} +(-0.824513 - 14.5380i) q^{93} +(-0.382149 - 3.63590i) q^{94} +(2.46940 + 0.524887i) q^{95} +(3.76140 + 4.60438i) q^{96} +(1.15888 - 11.0260i) q^{97} +8.10963 q^{98} +(1.80474 + 9.78483i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) $ 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/99\mathbb{Z}\right)^\times$.

$n$	$46$	$56$
$\chi(n)$	$e\left(\frac{1}{5}\right)$	$e\left(\frac{1}{3}\right)$

Coefficient data

For each $n$ we display the coefficients of the $q$-expansion $a_n$, the Satake parameters $\alpha_p$, and the Satake angles $\theta_p = \textrm{Arg}(\alpha_p)$.

Display $a_p$ with $p$ up to: 50 250 1000 (See $a_n$ instead) (See $a_n$ instead) (See $a_n$ instead) Display $a_n$ with $n$ up to: 50 250 1000 (See only $a_p$) (See only $a_p$) (See only $a_p$)

$n$	$a_n$			$a_n / n^{(k-1)/2}$			$ \alpha_n $			$ \theta_n $
$p$	$a_p$			$a_p / p^{(k-1)/2}$			$ \alpha_p$			$ \theta_p $

$2$	0.122179	−	1.16246i	0.0863938	−	0.821982i	−0.862430	−	0.506176i	$-0.831059\pi$
$2$	0.122179	−	1.16246i	0.0863938	−	0.821982i	0.948824	−	0.315806i	$-0.102275\pi$
$3$	−0.613763	+	1.61966i	−0.354356	+	0.935111i
$3$	−0.613763	+	1.61966i	−0.354356	+	0.935111i
$4$	0.619915	+	0.131767i	0.309958	+	0.0658835i
$5$	0.331034	+	3.14958i	0.148043	+	1.40854i	0.776219	+	0.630464i	$0.217135\pi$
$5$	0.331034	+	3.14958i	0.148043	+	1.40854i	−0.628176	+	0.778072i	$0.716198\pi$
$6$	1.80780	+	0.911362i	0.738030	+	0.372062i
$7$	0.166529	−	0.184949i	0.0629419	−	0.0699041i	−0.710851	−	0.703342i	$-0.751690\pi$
$7$	0.166529	−	0.184949i	0.0629419	−	0.0699041i	0.773793	+	0.633438i	$0.218357\pi$
$8$	0.951310	−	2.92783i	0.336339	−	1.03514i
$9$	−2.24659	−	1.98817i	−0.748863	−	0.662724i
$10$	3.70170			1.17058
$11$	−2.61205	−	2.04382i	−0.787562	−	0.616235i
$11$	−2.61205	−	2.04382i	−0.787562	−	0.616235i
$12$	−0.593899	+	0.923178i	−0.171444	+	0.266498i
$13$	4.68720	−	2.08688i	1.30000	−	0.578796i	0.364195	−	0.931323i	$-0.381344\pi$
$13$	4.68720	−	2.08688i	1.30000	−	0.578796i	0.935802	+	0.352527i	$0.114677\pi$
$14$	−0.194649	−	0.216179i	−0.0520221	−	0.0577764i
$15$	−5.30442	−	1.39693i	−1.36960	−	0.360687i
$16$	−2.12930	−	0.948027i	−0.532326	−	0.237007i
$17$	−3.72392	+	2.70559i	−0.903183	+	0.656201i	−0.939282	−	0.343147i	$-0.888507\pi$
$17$	−3.72392	+	2.70559i	−0.903183	+	0.656201i	0.0360984	+	0.999348i	$0.488507\pi$
$18$	−2.58565	+	2.36865i	−0.609444	+	0.558297i
$19$	0.246338	−	0.758149i	0.0565137	−	0.173931i	−0.918815	−	0.394688i	$-0.870853\pi$
$19$	0.246338	−	0.758149i	0.0565137	−	0.173931i	0.975329	+	0.220757i	$0.0708527\pi$
$20$	−0.209798	+	1.99609i	−0.0469122	+	0.446340i
$21$	0.197345	+	0.383234i	0.0430642	+	0.0836286i
$22$	−2.69499	+	2.78668i	−0.574574	+	0.594123i
$23$	2.46653	−	4.27215i	0.514307	−	0.890805i	−0.485556	−	0.874206i	$-0.661383\pi$
$23$	2.46653	−	4.27215i	0.514307	−	0.890805i	0.999862	−	0.0165995i	$-0.00528403\pi$
$24$	4.15821	+	3.33779i	0.848791	+	0.681324i
$25$	−4.91954	+	1.04568i	−0.983907	+	0.209136i
$26$	−1.85323	−	5.70365i	−0.363448	−	1.11858i
$27$	4.59904	−	2.41844i	0.885085	−	0.465430i
$28$	0.127604	−	0.0927096i	0.0241149	−	0.0175205i
$29$	−1.05181	+	1.16815i	−0.195315	+	0.216920i	−0.832845	−	0.553506i	$-0.813290\pi$
$29$	−1.05181	+	1.16815i	−0.195315	+	0.216920i	0.637530	+	0.770426i	$0.279956\pi$
$30$	−2.27197	+	5.99549i	−0.414802	+	1.09462i
$31$	−7.68019	+	3.41944i	−1.37940	+	0.614150i	−0.956422	−	0.291988i	$-0.905683\pi$
$31$	−7.68019	+	3.41944i	−1.37940	+	0.614150i	−0.422982	+	0.906138i	$0.639016\pi$
$32$	1.71631	−	2.97273i	0.303403	−	0.525509i
$33$	4.91347	−	2.97621i	0.855325	−	0.518091i
$34$	2.69014	+	4.65947i	0.461356	+	0.799092i
$35$	0.637638	+	0.463271i	0.107780	+	0.0783071i
$36$	−1.13072	−	1.52853i	−0.188453	−	0.254754i
$37$	−0.146442	−	0.450701i	−0.0240749	−	0.0740949i	0.938297	−	0.345830i	$-0.112403\pi$
$37$	−0.146442	−	0.450701i	−0.0240749	−	0.0740949i	−0.962372	+	0.271735i	$0.912403\pi$
$38$	−0.851219	−	0.378987i	−0.138086	−	0.0614798i
$39$	0.503199	+	8.87252i	0.0805763	+	1.42074i
$40$	9.53636	+	2.02702i	1.50783	+	0.320499i
$41$	0.0628793	+	0.0698346i	0.00982010	+	0.0109063i	0.748035	−	0.663659i	$-0.230998\pi$
$41$	0.0628793	+	0.0698346i	0.00982010	+	0.0109063i	−0.738215	+	0.674566i	$0.764331\pi$
$42$	0.469605	−	0.182582i	0.0724616	−	0.0281730i
$43$	−5.01977	−	8.69450i	−0.765508	−	1.32590i	−0.939977	−	0.341237i	$-0.889154\pi$
$43$	−5.01977	−	8.69450i	−0.765508	−	1.32590i	0.174469	−	0.984663i	$-0.444179\pi$
$44$	−1.34994	−	1.61118i	−0.203511	−	0.242894i
$45$	5.51821	−	7.73397i	0.822607	−	1.15291i
$46$	−4.66484	−	3.38920i	−0.687793	−	0.499711i
$47$	3.05942	−	0.650300i	0.446263	−	0.0948561i	0.0207015	−	0.999786i	$-0.493410\pi$
$47$	3.05942	−	0.650300i	0.446263	−	0.0948561i	0.425561	+	0.904930i	$0.360077\pi$
$48$	2.84237	−	2.86688i	0.410261	−	0.413799i
$49$	0.725225	+	6.90005i	0.103604	+	0.985722i
$50$	0.614493	+	5.84651i	0.0869025	+	0.826822i
$51$	−2.09652	−	7.69207i	−0.293572	−	1.07710i
$52$	3.18065	−	0.676068i	0.441077	−	0.0937538i
$53$	9.39421	+	6.82530i	1.29039	+	0.937527i	0.999813	−	0.0193237i	$-0.00615131\pi$
$53$	9.39421	+	6.82530i	1.29039	+	0.937527i	0.290581	+	0.956850i	$0.406151\pi$
$54$	−2.24943	−	5.64167i	−0.306109	−	0.767734i
$55$	5.57250	−	8.90343i	0.751395	−	1.20054i
$56$	−0.383079	−	0.663512i	−0.0511910	−	0.0886655i
$57$	1.07675	+	0.864307i	0.142619	+	0.114480i
$58$	1.22941	+	1.36540i	0.161430	+	0.179286i
$59$	−2.44519	−	0.519741i	−0.318337	−	0.0676645i	0.0459722	−	0.998943i	$-0.485361\pi$
$59$	−2.44519	−	0.519741i	−0.318337	−	0.0676645i	−0.364309	+	0.931278i	$0.618695\pi$
$60$	−3.10422	−	1.56493i	−0.400753	−	0.202031i
$61$	−3.66447	−	1.63153i	−0.469187	−	0.208895i	0.158504	−	0.987358i	$-0.449333\pi$
$61$	−3.66447	−	1.63153i	−0.469187	−	0.208895i	−0.627691	+	0.778463i	$0.716000\pi$
$62$	3.03660	+	9.34568i	0.385648	+	1.18690i
$63$	−0.741832	+	0.0844164i	−0.0934620	+	0.0106355i
$64$	−7.01731	−	5.09837i	−0.877164	−	0.637297i
$65$	8.12442	+	14.0719i	1.00771	+	1.74540i
$66$	−2.85939	−	6.07533i	−0.351967	−	0.747822i
$67$	−2.07692	+	3.59733i	−0.253736	+	0.439483i	−0.964551	−	0.263895i	$-0.914993\pi$
$67$	−2.07692	+	3.59733i	−0.253736	+	0.439483i	0.710816	+	0.703378i	$0.248326\pi$
$68$	−2.66502	+	1.18654i	−0.323181	+	0.143890i
$69$	5.40557	+	6.61702i	0.650754	+	0.796596i
$70$	0.616439	−	0.684625i	0.0736786	−	0.0818283i
$71$	−0.299145	+	0.217341i	−0.0355019	+	0.0257937i	−0.605395	−	0.795925i	$-0.706985\pi$
$71$	−0.299145	+	0.217341i	−0.0355019	+	0.0257937i	0.569893	+	0.821719i	$0.306985\pi$
$72$	−7.95824	+	4.68627i	−0.937887	+	0.552282i
$73$	3.14685	+	9.68501i	0.368311	+	1.13354i	0.947882	+	0.318623i	$0.103220\pi$
$73$	3.14685	+	9.68501i	0.368311	+	1.13354i	−0.579571	+	0.814922i	$0.696780\pi$
$74$	−0.541814	+	0.115166i	−0.0629845	+	0.0133878i
$75$	1.32578	−	8.60977i	0.153088	−	0.994171i
$76$	0.252607	−	0.437529i	0.0289761	−	0.0501880i
$77$	−0.812983	+	0.142741i	−0.0926480	+	0.0162668i
$78$	10.3754	+	0.499091i	1.17478	+	0.0565109i
$79$	−1.22335	+	11.6394i	−0.137638	+	1.30953i	0.679749	+	0.733445i	$0.262089\pi$
$79$	−1.22335	+	11.6394i	−0.137638	+	1.30953i	−0.817387	+	0.576090i	$0.804578\pi$
$80$	2.28102	−	7.02024i	0.255025	−	0.784887i
$81$	1.09434	+	8.93322i	0.121593	+	0.992580i
$82$	0.0888623	−	0.0645622i	0.00981320	−	0.00712971i
$83$	−0.973081	−	0.433244i	−0.106810	−	0.0475547i	0.352636	−	0.935760i	$-0.385285\pi$
$83$	−0.973081	−	0.433244i	−0.106810	−	0.0475547i	−0.459446	+	0.888206i	$0.651952\pi$
$84$	0.0718395	+	0.263576i	0.00783833	+	0.0287585i
$85$	−9.75421	−	10.8331i	−1.05799	−	1.17502i
$86$	−10.7203	+	4.77299i	−1.15600	+	0.514684i
$87$	−1.24644	−	2.42053i	−0.133633	−	0.259508i
$88$	−8.46883	+	5.70333i	−0.902780	+	0.607977i
$89$	−8.39173			−0.889521			−0.444761	−	0.895650i	$-0.646711\pi$
$89$	−8.39173			−0.889521			−0.444761	+	0.895650i	$0.646711\pi$
$90$	−8.31620	−	7.35962i	−0.876605	−	0.775772i
$91$	0.394588	−	1.21442i	0.0413641	−	0.127306i
$92$	2.09197	−	2.32337i	0.218103	−	0.242228i
$93$	−0.824513	−	14.5380i	−0.0854980	−	1.50752i
$94$	−0.382149	−	3.63590i	−0.0394156	−	0.375015i
$95$	2.46940	+	0.524887i	0.253355	+	0.0538522i
$96$	3.76140	+	4.60438i	0.383897	+	0.469933i
$97$	1.15888	−	11.0260i	0.117666	−	1.11952i	−0.763202	−	0.646159i	$-0.776374\pi$
$97$	1.15888	−	11.0260i	0.117666	−	1.11952i	0.880869	−	0.473361i	$-0.156959\pi$
$98$	8.10963			0.819196
$99$	1.80474	+	9.78483i	0.181383	+	0.983413i
$100$	−3.18748			−0.318748
$101$	0.691087	−	6.57526i	0.0687658	−	0.654263i	−0.904797	−	0.425843i	$-0.859978\pi$
$101$	0.691087	−	6.57526i	0.0687658	−	0.654263i	0.973563	−	0.228420i	$-0.0733558\pi$
$102$	−9.19785	+	1.49731i	−0.910723	+	0.148256i
$103$	−8.33701	−	1.77209i	−0.821470	−	0.174609i	−0.222042	−	0.975037i	$-0.571272\pi$
$103$	−8.33701	−	1.77209i	−0.821470	−	0.174609i	−0.599429	+	0.800428i	$0.704605\pi$
$104$	−1.65104	−	15.7086i	−0.161898	−	1.54036i
$105$	−1.14170	+	0.748417i	−0.111418	+	0.0730381i
$106$	9.08190	−	10.0865i	0.882112	−	0.979684i
$107$	−1.21147	+	3.72852i	−0.117117	+	0.360450i	−0.992383	−	0.123193i	$-0.960687\pi$
$107$	−1.21147	+	3.72852i	−0.117117	+	0.360450i	0.875266	+	0.483643i	$0.160687\pi$
$108$	3.16968	−	0.893229i	0.305003	−	0.0859510i
$109$	3.83554			0.367379			0.183689	−	0.982984i	$-0.441196\pi$
$109$	3.83554			0.367379			0.183689	+	0.982984i	$0.441196\pi$
$110$	−9.66902	−	7.56561i	−0.921905	−	0.721352i
$111$	0.819863	+	0.0394381i	0.0778180	+	0.00374330i
$112$	−0.529927	+	0.235939i	−0.0500734	+	0.0222941i
$113$	6.07203	+	6.74368i	0.571209	+	0.634392i	0.957654	−	0.287920i	$-0.0929639\pi$
$113$	6.07203	+	6.74368i	0.571209	+	0.634392i	−0.386445	+	0.922312i	$0.626297\pi$
$114$	1.13628	−	1.14608i	0.106422	−	0.107340i
$115$	14.2720	+	6.35430i	1.33087	+	0.592542i
$116$	−0.805954	+	0.585560i	−0.0748309	+	0.0543678i
$117$	−14.6793	−	4.63061i	−1.35710	−	0.428100i
$118$	−0.902929	+	2.77893i	−0.0831213	+	0.255821i
$119$	−0.119744	+	1.13929i	−0.0109770	+	0.104439i
$120$	−9.13613	+	14.2015i	−0.834011	+	1.29642i
$121$	2.64560	+	10.6771i	0.240509	+	0.970647i
$122$	−2.34430	+	4.06045i	−0.212243	+	0.367616i
$123$	−0.151701	+	0.0589812i	−0.0136784	+	0.00531816i
$124$	−5.21164	+	1.10777i	−0.468019	+	0.0994805i
$125$	−0.0288120	−	0.0886741i	−0.00257702	−	0.00793125i
$126$	0.00749407	+	0.872662i	0.000667625	+	0.0777429i
$127$	−1.43463	+	1.04232i	−0.127303	+	0.0924911i	−0.649615	−	0.760264i	$-0.725070\pi$
$127$	−1.43463	+	1.04232i	−0.127303	+	0.0924911i	0.522312	+	0.852755i	$0.325070\pi$
$128$	−2.19028	+	2.43255i	−0.193595	+	0.215009i
$129$	17.1631	−	2.79396i	1.51113	−	0.245994i
$130$	17.3506	−	7.72500i	1.52175	−	0.677527i
$131$	0.162082	−	0.280734i	0.0141611	−	0.0245278i	−0.858858	−	0.512214i	$-0.828826\pi$
$131$	0.162082	−	0.280734i	0.0141611	−	0.0245278i	0.873019	+	0.487686i	$0.162159\pi$
$132$	3.43810	−	1.19756i	0.299248	−	0.104234i
$133$	−0.0991965	−	0.171813i	−0.00860143	−	0.0148981i
$134$	3.92798	+	2.85385i	0.339326	+	0.246535i
$135$	9.13952	+	13.6844i	0.786605	+	1.17777i
$136$	4.37890	+	13.4769i	0.375487	+	1.15563i
$137$	4.72915	+	2.10556i	0.404039	+	0.179890i	0.598686	−	0.800984i	$-0.295690\pi$
$137$	4.72915	+	2.10556i	0.404039	+	0.179890i	−0.194647	+	0.980873i	$0.562356\pi$
$138$	8.35246	−	5.47528i	0.711008	−	0.466087i
$139$	12.0525	+	2.56185i	1.02228	+	0.217293i	0.688408	−	0.725324i	$-0.258310\pi$
$139$	12.0525	+	2.56185i	1.02228	+	0.217293i	0.333876	+	0.942617i	$0.391643\pi$
$140$	0.334238	+	0.371208i	0.0282482	+	0.0313728i
$141$	−0.824495	+	5.35435i	−0.0694350	+	0.450918i
$142$	0.216101	+	0.374297i	0.0181348	+	0.0314103i
$143$	−16.5084	−	4.12878i	−1.38050	−	0.345266i
$144$	2.89883	+	6.36325i	0.241569	+	0.530271i
$145$	−4.02736	−	2.92605i	−0.334454	−	0.242995i
$146$	11.6429	−	2.47477i	0.963572	−	0.204814i
$147$	−11.6209	−	3.06038i	−0.958472	−	0.252416i
$148$	−0.0313939	−	0.298693i	−0.00258056	−	0.0245524i
$149$	−2.11206	−	20.0950i	−0.173027	−	1.64624i	−0.644676	−	0.764456i	$-0.723008\pi$
$149$	−2.11206	−	20.0950i	−0.173027	−	1.64624i	0.471649	−	0.881787i	$-0.343659\pi$
$150$	−9.84651	−	2.59310i	−0.803964	−	0.211726i
$151$	−11.8222	+	2.51288i	−0.962074	+	0.204495i	−0.662069	−	0.749443i	$-0.730322\pi$
$151$	−11.8222	+	2.51288i	−0.962074	+	0.204495i	−0.300005	+	0.953938i	$0.596988\pi$
$152$	−1.98539	−	1.44247i	−0.161036	−	0.117000i
$153$	13.7453	+	1.32545i	1.11124	+	0.107157i
$154$	0.0666004	+	0.962498i	0.00536682	+	0.0775603i
$155$	−13.3122	−	23.0574i	−1.06926	−	1.85202i
$156$	−0.857166	+	5.56652i	−0.0686282	+	0.445678i
$157$	−7.39547	−	8.21350i	−0.590223	−	0.655509i	0.371853	−	0.928292i	$-0.378723\pi$
$157$	−7.39547	−	8.21350i	−0.590223	−	0.655509i	−0.962076	+	0.272783i	$0.912056\pi$
$158$	13.3808	+	2.84418i	1.06452	+	0.226271i
$159$	−16.8205	+	11.0263i	−1.33395	+	0.874443i
$160$	9.93101	+	4.42157i	0.785115	+	0.349556i
$161$	−0.379382	−	1.16762i	−0.0298995	−	0.0920211i
$162$	10.5182	−	0.180665i	0.826387	−	0.0141944i
$163$	12.4198	+	9.02351i	0.972793	+	0.706776i	0.956086	−	0.293085i	$-0.0946818\pi$
$163$	12.4198	+	9.02351i	0.972793	+	0.706776i	0.0167068	+	0.999860i	$0.494682\pi$
$164$	0.0297780	+	0.0515770i	0.00232527	+	0.00402748i
$165$	11.0003	+	14.4901i	0.856375	+	1.12806i
$166$	−0.622518	+	1.07823i	−0.0483168	+	0.0836871i
$167$	2.38051	−	1.05987i	0.184209	−	0.0820153i	−0.312559	−	0.949898i	$-0.601186\pi$
$167$	2.38051	−	1.05987i	0.184209	−	0.0820153i	0.496769	+	0.867883i	$0.334520\pi$
$168$	1.30978	−	0.213218i	0.101052	−	0.0164501i
$169$	8.91613	−	9.90237i	0.685856	−	0.761721i
$170$	−13.7848	+	10.0153i	−1.05725	+	0.768136i
$171$	−2.06075	+	1.21349i	−0.157590	+	0.0927978i
$172$	−1.96619	−	6.05130i	−0.149920	−	0.461407i
$173$	18.8551	−	4.00777i	1.43353	−	0.304705i	0.575285	−	0.817953i	$-0.304891\pi$
$173$	18.8551	−	4.00777i	1.43353	−	0.304705i	0.858241	+	0.513248i	$0.171558\pi$
$174$	−2.96606	+	1.15320i	−0.224856	+	0.0874237i
$175$	−0.625847	+	1.08400i	−0.0473096	+	0.0819425i
$176$	3.62425	+	6.82821i	0.273188	+	0.514696i
$177$	2.34257	−	3.64138i	0.176078	−	0.273703i
$178$	−1.02529	+	9.75502i	−0.0768491	+	0.731170i
$179$	5.58907	−	17.2014i	0.417747	−	1.28569i	−0.492024	−	0.870581i	$-0.663743\pi$
$179$	5.58907	−	17.2014i	0.417747	−	1.28569i	0.909771	−	0.415111i	$-0.136257\pi$
$180$	4.43991	−	4.06729i	0.330931	−	0.303158i
$181$	−18.2433	+	13.2545i	−1.35602	+	0.985203i	−0.357328	+	0.933979i	$0.616312\pi$
$181$	−18.2433	+	13.2545i	−1.35602	+	0.985203i	−0.998687	+	0.0512238i	$0.983688\pi$
$182$	−1.36350	−	0.607069i	−0.101069	−	0.0449989i
$183$	4.89163	−	4.93382i	0.361600	−	0.364718i
$184$	−10.1617	−	11.2857i	−0.749131	−	0.831994i
$185$	1.37104	−	0.610428i	0.100801	−	0.0448795i
$186$	−17.0006	−	0.817782i	−1.24654	−	0.0599627i
$187$	15.2568	+	0.543898i	1.11569	+	0.0397738i
$188$	1.98227			0.144572
$189$	0.318583	−	1.25333i	0.0231735	−	0.0911661i
$190$	0.911868	−	2.80644i	0.0661538	−	0.203601i
$191$	−6.38319	+	7.08925i	−0.461871	+	0.512960i	−0.928418	−	0.371536i	$-0.878831\pi$
$191$	−6.38319	+	7.08925i	−0.461871	+	0.512960i	0.466547	+	0.884496i	$0.345498\pi$
$192$	12.5646	−	8.23646i	0.906771	−	0.594415i
$193$	−1.99745	−	19.0045i	−0.143780	−	1.36797i	−0.793857	−	0.608105i	$-0.791930\pi$
$193$	−1.99745	−	19.0045i	−0.143780	−	1.36797i	0.650077	−	0.759868i	$-0.274737\pi$
$194$	−12.6757	−	2.69429i	−0.910059	−	0.193439i
$195$	−27.7781	+	4.52197i	−1.98923	+	0.323825i
$196$	−0.459622	+	4.37301i	−0.0328301	+	0.312358i
$197$	−17.7425			−1.26410			−0.632049	−	0.774928i	$-0.717786\pi$
$197$	−17.7425			−1.26410			−0.632049	+	0.774928i	$0.717786\pi$
$198$	11.5950	−	0.902426i	0.824017	−	0.0641326i
$199$	10.2632			0.727539			0.363770	−	0.931489i	$-0.381490\pi$
$199$	10.2632			0.727539			0.363770	+	0.931489i	$0.381490\pi$
$200$	−1.61843	+	15.3983i	−0.114440	+	1.08883i
$201$	−4.55171	−	5.57180i	−0.321053	−	0.393005i
$202$	−7.55902	−	1.60672i	−0.531851	−	0.113048i
$203$	0.0408919	+	0.389060i	0.00287005	+	0.0273067i
$204$	−0.286105	−	5.04468i	−0.0200314	−	0.353198i
$205$	−0.199134	+	0.221161i	−0.0139082	+	0.0154466i
$206$	−3.07859	+	9.47491i	−0.214495	+	0.660149i
$207$	−14.0351	+	4.69389i	−0.975504	+	0.326248i
$208$	−11.9589			−0.829201
$209$	−2.19297	+	1.47685i	−0.151691	+	0.102156i
$210$	0.730512	+	1.41862i	0.0504101	+	0.0978940i
$211$	13.7260	−	6.11120i	0.944936	−	0.420713i	0.124352	−	0.992238i	$-0.460315\pi$
$211$	13.7260	−	6.11120i	0.944936	−	0.420713i	0.820584	+	0.571526i	$0.193648\pi$
$212$	4.92427	+	5.46895i	0.338200	+	0.375609i
$213$	−0.168415	−	0.617908i	−0.0115396	−	0.0423384i
$214$	4.18623	+	1.86383i	0.286165	+	0.127409i
$215$	25.7223	−	18.6884i	1.75425	−	1.27454i
$216$	−2.70569	−	15.7659i	−0.184099	−	1.07273i
$217$	−0.646551	+	1.98988i	−0.0438907	+	0.135082i
$218$	0.468624	−	4.45866i	0.0317392	−	0.301978i
$219$	−17.6178	−	0.847475i	−1.19050	−	0.0572670i
$220$	4.62766	−	4.78510i	0.311996	−	0.322612i
$221$	−11.8085	+	20.4530i	−0.794329	+	1.37582i
$222$	0.146015	−	0.948238i	0.00979991	−	0.0636415i
$223$	−2.16676	+	0.460560i	−0.145097	+	0.0308414i	−0.279888	−	0.960033i	$-0.590297\pi$
$223$	−2.16676	+	0.460560i	−0.145097	+	0.0308414i	0.134790	+	0.990874i	$0.456964\pi$
$224$	−0.263989	−	0.812473i	−0.0176385	−	0.0542857i
$225$	13.1312	+	7.43167i	0.875412	+	0.495445i
$226$	8.58112	−	6.23455i	0.570807	−	0.414716i
$227$	−17.4328	+	19.3611i	−1.15706	+	1.28504i	−0.205124	+	0.978736i	$0.565760\pi$
$227$	−17.4328	+	19.3611i	−1.15706	+	1.28504i	−0.951933	+	0.306306i	$0.900907\pi$
$228$	0.553607	+	0.677677i	0.0366635	+	0.0448803i
$229$	−5.80197	+	2.58320i	−0.383405	+	0.170703i	−0.589383	−	0.807854i	$-0.700629\pi$
$229$	−5.80197	+	2.58320i	−0.383405	+	0.170703i	0.205978	+	0.978557i	$0.433962\pi$
$230$	9.13035	−	15.8142i	0.602037	−	1.04276i
$231$	0.267788	−	1.40436i	0.0176191	−	0.0924004i
$232$	2.41955	+	4.19078i	0.158851	+	0.275138i
$233$	−4.28499	−	3.11323i	−0.280719	−	0.203954i	0.438512	−	0.898725i	$-0.355506\pi$
$233$	−4.28499	−	3.11323i	−0.280719	−	0.203954i	−0.719231	+	0.694771i	$0.755506\pi$
$234$	−7.17640	+	16.4983i	−0.469136	+	1.07853i
$235$	3.06095	+	9.42063i	0.199674	+	0.614534i
$236$	−1.44733	−	0.644391i	−0.0942129	−	0.0419463i
$237$	−18.1010	−	9.12524i	−1.17579	−	0.592748i
$238$	1.30975	+	0.278396i	0.0848984	+	0.0180457i
$239$	−7.76928	−	8.62866i	−0.502553	−	0.558141i	0.437479	−	0.899229i	$-0.355872\pi$
$239$	−7.76928	−	8.62866i	−0.502553	−	0.558141i	−0.940032	+	0.341087i	$0.889205\pi$
$240$	9.97040	+	8.00323i	0.643586	+	0.516606i
$241$	−3.66269	−	6.34397i	−0.235935	−	0.408651i	0.723609	−	0.690210i	$-0.242482\pi$
$241$	−3.66269	−	6.34397i	−0.235935	−	0.408651i	−0.959544	+	0.281559i	$0.909148\pi$
$242$	12.7349	−	1.77088i	0.818632	−	0.113836i
$243$	−15.1404	−	3.71043i	−0.971259	−	0.238024i
$244$	−2.05668	−	1.49426i	−0.131665	−	0.0956604i
$245$	−21.4922	+	4.56831i	−1.37309	+	0.291859i
$246$	0.0500284	+	0.183553i	0.00318970	+	0.0117029i
$247$	−0.427530	−	4.06768i	−0.0272031	−	0.258820i
$248$	2.70531	+	25.7393i	0.171787	+	1.63444i
$249$	1.29895	−	1.31015i	0.0823175	−	0.0830275i
$250$	−0.106600	+	0.0226586i	−0.00674198	+	0.00143305i
$251$	15.4421	+	11.2193i	0.974694	+	0.708157i	0.956517	−	0.291678i	$-0.0942136\pi$
$251$	15.4421	+	11.2193i	0.974694	+	0.708157i	0.0181776	+	0.999835i	$0.494214\pi$
$252$	−0.470996	−	0.0454180i	−0.0296700	−	0.00286106i
$253$	−15.1742	+	6.11793i	−0.953994	+	0.384631i
$254$	1.03637	+	1.79505i	0.0650278	+	0.112632i
$255$	23.5328	−	9.14951i	1.47368	−	0.572964i
$256$	−9.04777	−	10.0486i	−0.565486	−	0.628036i
$257$	9.81080	+	2.08535i	0.611981	+	0.130081i	0.503467	−	0.864014i	$-0.332057\pi$
$257$	9.81080	+	2.08535i	0.611981	+	0.130081i	0.108514	+	0.994095i	$0.465391\pi$
$258$	−1.15089	−	20.2927i	−0.0716511	−	1.26337i
$259$	−0.107743	−	0.0479705i	−0.00669485	−	0.00298074i
$260$	3.18224	+	9.79392i	0.197354	+	0.607393i
$261$	4.68546	−	0.533179i	0.290022	−	0.0330030i
$262$	−0.306538	−	0.222713i	−0.0189380	−	0.0137592i
$263$	7.00714	+	12.1367i	0.432079	+	0.748383i	0.997052	−	0.0767265i	$-0.0244468\pi$
$263$	7.00714	+	12.1367i	0.432079	+	0.748383i	−0.564973	+	0.825109i	$0.691114\pi$
$264$	−4.03960	−	17.2171i	−0.248620	−	1.05964i
$265$	−18.3870	+	31.8472i	−1.12951	+	1.95636i
$266$	−0.211846	+	0.0943197i	−0.0129891	+	0.00578311i
$267$	5.15053	−	13.5917i	0.315207	−	0.831801i
$268$	−1.76152	+	1.95637i	−0.107602	+	0.119504i
$269$	−0.934865	+	0.679219i	−0.0569997	+	0.0414127i	−0.615920	−	0.787808i	$-0.711216\pi$
$269$	−0.934865	+	0.679219i	−0.0569997	+	0.0414127i	0.558921	+	0.829221i	$0.311216\pi$
$270$	17.0242	−	8.95235i	1.03606	−	0.544823i
$271$	−9.03639	−	27.8112i	−0.548922	−	1.68941i	−0.711478	−	0.702708i	$-0.751974\pi$
$271$	−9.03639	−	27.8112i	−0.548922	−	1.68941i	0.162557	−	0.986699i	$-0.448026\pi$
$272$	10.4943	−	2.23064i	0.636312	−	0.135252i
$273$	1.72476	+	1.38446i	0.104387	+	0.0837915i
$274$	3.02542	−	5.24019i	0.182773	−	0.316571i
$275$	14.9872	+	7.32328i	0.903765	+	0.441610i
$276$	2.47909	+	4.81427i	0.149224	+	0.289785i
$277$	2.37611	−	22.6071i	0.142766	−	1.35833i	−0.655121	−	0.755524i	$-0.727382\pi$
$277$	2.37611	−	22.6071i	0.142766	−	1.35833i	0.797887	−	0.602807i	$-0.205951\pi$
$278$	4.45061	−	13.6976i	0.266930	−	0.821525i
$279$	24.0527	+	7.58747i	1.44000	+	0.454250i
$280$	1.96297	−	1.42618i	0.117310	−	0.0852307i
$281$	15.4561	+	6.88149i	0.922033	+	0.410515i	0.812163	−	0.583431i	$-0.198290\pi$
$281$	15.4561	+	6.88149i	0.922033	+	0.410515i	0.109870	+	0.993946i	$0.464957\pi$
$282$	6.12347	+	1.61263i	0.364647	+	0.0960308i
$283$	19.1080	+	21.2216i	1.13585	+	1.26149i	0.960894	+	0.276915i	$0.0893120\pi$
$283$	19.1080	+	21.2216i	1.13585	+	1.26149i	0.174957	+	0.984576i	$0.444021\pi$
$284$	−0.214083	+	0.0953158i	−0.0127035	+	0.00565595i
$285$	−2.36576	+	3.67743i	−0.140136	+	0.217832i
$286$	−6.81651	+	18.6859i	−0.403069	+	1.10492i
$287$	0.0233870			0.00138049
$288$	−9.76614	+	3.26619i	−0.575475	+	0.192462i
$289$	1.29409	−	3.98281i	0.0761231	−	0.234283i
$290$	−3.89347	+	4.32413i	−0.228632	+	0.253922i
$291$	17.1471	+	8.64433i	1.00518	+	0.506740i
$292$	0.674615	+	6.41854i	0.0394789	+	0.375616i
$293$	−15.8244	−	3.36357i	−0.924469	−	0.196502i	−0.279003	−	0.960290i	$-0.590004\pi$
$293$	−15.8244	−	3.36357i	−0.924469	−	0.196502i	−0.645467	+	0.763788i	$0.723337\pi$
$294$	−4.97739	+	13.1348i	−0.290287	+	0.766039i
$295$	0.827525	−	7.87338i	0.0481804	−	0.458406i
$296$	−1.45889			−0.0847962
$297$	−16.9558	−	3.08251i	−0.983874	−	0.178865i
$298$	−23.6176			−1.36813
$299$	2.64566	−	25.1718i	0.153003	−	1.45572i
$300$	1.95636	−	5.16263i	0.112950	−	0.298065i
$301$	−2.44397	−	0.519483i	−0.140868	−	0.0299425i
$302$	1.47669	+	14.0498i	0.0849741	+	0.808474i
$303$	10.2255	+	5.15498i	0.587440	+	0.296146i
$304$	−1.24327	+	1.38080i	−0.0713066	+	0.0791940i
$305$	3.92556	−	12.0816i	0.224777	−	0.691792i
$306$	3.22017	−	15.8164i	0.184085	−	0.904162i
$307$	14.3499			0.818989			0.409495	−	0.912312i	$-0.365705\pi$
$307$	14.3499			0.818989			0.409495	+	0.912312i	$0.365705\pi$
$308$	−0.522789	−	0.0186372i	−0.0297887	−	0.00106195i
$309$	7.98713	−	12.4155i	0.454372	−	0.706292i
$310$	−28.4298	+	12.6577i	−1.61470	+	0.718912i
$311$	2.39366	+	2.65843i	0.135732	+	0.150746i	0.807179	−	0.590307i	$-0.200993\pi$
$311$	2.39366	+	2.65843i	0.135732	+	0.150746i	−0.671447	+	0.741053i	$0.734327\pi$
$312$	26.4559	+	6.96724i	1.49777	+	0.394442i
$313$	10.1285	+	4.50951i	0.572498	+	0.254893i	0.672503	−	0.740094i	$-0.265219\pi$
$313$	10.1285	+	4.50951i	0.572498	+	0.254893i	−0.100005	+	0.994987i	$0.531886\pi$
$314$	−10.4514	+	7.59340i	−0.589808	+	0.428520i
$315$	−0.511448	−	2.30851i	−0.0288168	−	0.130070i
$316$	−2.29206	+	7.05424i	−0.128939	+	0.396832i
$317$	1.26144	−	12.0018i	0.0708493	−	0.674086i	−0.900244	−	0.435386i	$-0.856612\pi$
$317$	1.26144	−	12.0018i	0.0708493	−	0.674086i	0.971093	−	0.238700i	$-0.0767213\pi$
$318$	10.7625	+	20.9003i	0.603531	+	1.17203i
$319$	5.13485	−	0.901559i	0.287497	−	0.0504776i
$320$	13.7348	−	23.7893i	0.767797	−	1.32986i
$321$	−5.29538	−	4.25060i	−0.295559	−	0.237245i
$322$	−1.40366	+	0.298357i	−0.0782228	+	0.0166268i
$323$	1.13390	+	3.48977i	0.0630917	+	0.194176i
$324$	−0.498709	+	5.68204i	−0.0277060	+	0.315669i
$325$	−20.8767	+	15.1678i	−1.15803	+	0.841357i
$326$	12.0069	−	13.3350i	0.665000	−	0.738557i
$327$	−2.35411	+	6.21227i	−0.130183	+	0.343540i
$328$	0.264282	−	0.117666i	0.0145925	−	0.00649700i
$329$	0.389209	−	0.674130i	0.0214578	−	0.0371660i
$330$	18.1882	−	11.0170i	1.00123	−	0.606467i
$331$	1.03329	+	1.78971i	0.0567948	+	0.0983716i	0.893025	−	0.450007i	$-0.148579\pi$
$331$	1.03329	+	1.78971i	0.0567948	+	0.0983716i	−0.836230	+	0.548379i	$0.815245\pi$
$332$	−0.546141	−	0.396795i	−0.0299734	−	0.0217769i
$333$	−0.567078	+	1.30369i	−0.0310757	+	0.0714419i
$334$	−0.941206	−	2.89673i	−0.0515005	−	0.158502i
$335$	−12.0176	−	5.35058i	−0.656592	−	0.292333i
$336$	−0.0568907	−	1.00311i	−0.00310364	−	0.0547242i
$337$	−0.537371	−	0.114222i	−0.0292725	−	0.00622205i	0.193252	−	0.981149i	$-0.438096\pi$
$337$	−0.537371	−	0.114222i	−0.0292725	−	0.00622205i	−0.222525	+	0.974927i	$0.571430\pi$
$338$	−10.4217	−	11.5745i	−0.566867	−	0.629569i
$339$	−14.6492	+	5.69561i	−0.795638	+	0.309343i
$340$	−4.61933	−	8.00091i	−0.250518	−	0.433910i
$341$	27.0498	+	6.76518i	1.46483	+	0.366355i
$342$	1.15885	+	2.54380i	0.0626633	+	0.137553i
$343$	2.80633	+	2.03892i	0.151527	+	0.110091i
$344$	−30.2314	+	6.42588i	−1.62997	+	0.346460i
$345$	−19.0514	+	19.2157i	−1.02569	+	1.03454i
$346$	−2.35517	−	22.4079i	−0.126614	−	1.20466i
$347$	−1.48881	−	14.1651i	−0.0799234	−	0.760420i	−0.958936	−	0.283622i	$-0.908464\pi$
$347$	−1.48881	−	14.1651i	−0.0799234	−	0.760420i	0.879013	−	0.476798i	$-0.158203\pi$
$348$	−0.453742	−	1.66476i	−0.0243231	−	0.0892408i
$349$	20.3745	−	4.33073i	1.09062	−	0.231819i	0.372706	−	0.927950i	$-0.378430\pi$
$349$	20.3745	−	4.33073i	1.09062	−	0.231819i	0.717915	+	0.696131i	$0.245097\pi$
$350$	1.18364	+	0.859962i	0.0632680	+	0.0459669i
$351$	16.5096	−	20.9334i	0.881219	−	1.11734i
$352$	−10.5588	+	4.25709i	−0.562786	+	0.226904i
$353$	10.2296	+	17.7181i	0.544465	+	0.943042i	0.998640	+	0.0521291i	$0.0166007\pi$
$353$	10.2296	+	17.7181i	0.544465	+	0.943042i	−0.454175	+	0.890912i	$0.650066\pi$
$354$	−3.94673	−	3.16804i	−0.209766	−	0.168379i
$355$	−0.783561	−	0.870233i	−0.0415871	−	0.0461871i
$356$	−5.20216	−	1.10575i	−0.275714	−	0.0586048i
$357$	−1.77177	−	0.893200i	−0.0937720	−	0.0472732i
$358$	−19.3130	−	8.59871i	−1.02072	−	0.454456i
$359$	5.87022	+	18.0667i	0.309818	+	0.953523i	0.977835	+	0.209377i	$0.0671435\pi$
$359$	5.87022	+	18.0667i	0.309818	+	0.953523i	−0.668017	+	0.744146i	$0.732856\pi$
$360$	−17.3942	−	23.5138i	−0.916756	−	1.23929i
$361$	14.8572	+	10.7944i	0.781959	+	0.568126i
$362$	13.1789	+	22.8265i	0.692667	+	1.19974i
$363$	−18.9171	−	2.26825i	−0.992888	−	0.119052i
$364$	0.404632	−	0.700843i	0.0212085	−	0.0367341i
$365$	−29.4620	+	13.1173i	−1.54211	+	0.686592i
$366$	−5.13770	−	6.28912i	−0.268552	−	0.328738i
$367$	2.57482	−	2.85962i	0.134404	−	0.149271i	−0.672185	−	0.740383i	$-0.734644\pi$
$367$	2.57482	−	2.85962i	0.134404	−	0.149271i	0.806590	+	0.591112i	$0.201311\pi$
$368$	−9.30211	+	6.75837i	−0.484906	+	0.352305i
$369$	−0.00242088	−	0.281905i	−0.000126026	−	0.0146754i
$370$	−0.542083	−	1.66836i	−0.0281816	−	0.0867340i
$371$	2.82674	−	0.600841i	0.146757	−	0.0311941i
$372$	1.40450	−	9.12098i	0.0728201	−	0.472901i
$373$	4.55186	−	7.88405i	0.235686	−	0.408221i	−0.723786	−	0.690025i	$-0.757600\pi$
$373$	4.55186	−	7.88405i	0.235686	−	0.408221i	0.959472	+	0.281804i	$0.0909328\pi$
$374$	2.49632	−	17.6689i	0.129082	−	0.913638i
$375$	0.161306	+	0.00775932i	0.00832978	+	0.000400689i
$376$	1.00649	−	9.57611i	0.0519057	−	0.493850i
$377$	−2.49224	+	7.67034i	−0.128357	+	0.395043i
$378$	−1.41801	−	0.523470i	−0.0729348	−	0.0269244i
$379$	21.5891	−	15.6854i	1.10896	−	0.805706i	0.126460	−	0.991972i	$-0.459638\pi$
$379$	21.5891	−	15.6854i	1.10896	−	0.805706i	0.982499	+	0.186265i	$0.0596384\pi$
$380$	1.46165	+	0.650771i	0.0749813	+	0.0333838i
$381$	−0.807682	−	2.96336i	−0.0413788	−	0.151817i
$382$	7.46106	+	8.28635i	0.381741	+	0.423966i
$383$	−4.05904	+	1.80720i	−0.207407	+	0.0923436i	−0.507811	−	0.861468i	$-0.669545\pi$
$383$	−4.05904	+	1.80720i	−0.207407	+	0.0923436i	0.300404	+	0.953812i	$0.402879\pi$
$384$	−2.59559	−	5.04052i	−0.132456	−	0.257223i
$385$	−0.718699	−	2.51330i	−0.0366283	−	0.128090i
$386$	−22.3360			−1.13687
$387$	−6.00880	+	29.5132i	−0.305445	+	1.50024i
$388$	2.17127	−	6.68248i	0.110229	−	0.339251i
$389$	−7.80649	+	8.66999i	−0.395805	+	0.439586i	−0.907801	−	0.419402i	$-0.862240\pi$
$389$	−7.80649	+	8.66999i	−0.395805	+	0.439586i	0.511996	+	0.858988i	$0.328906\pi$
$390$	1.86269	+	32.8434i	0.0943210	+	1.66309i
$391$	2.37352	+	22.5826i	0.120034	+	1.14205i
$392$	20.8921	+	4.44076i	1.05521	+	0.224292i
$393$	0.355213	+	0.434821i	0.0179181	+	0.0219338i
$394$	−2.16776	+	20.6249i	−0.109210	+	1.03907i
$395$	−37.0642			−1.86490
$396$	−0.170535	+	6.30357i	−0.00856971	+	0.316766i
$397$	30.3159			1.52151			0.760756	−	0.649038i	$-0.224828\pi$
$397$	30.3159			1.52151			0.760756	+	0.649038i	$0.224828\pi$
$398$	1.25395	−	11.9305i	0.0628548	−	0.598024i
$399$	0.339162	−	0.0552118i	0.0169793	−	0.00276405i
$400$	11.4665	+	2.43728i	0.573326	+	0.121864i
$401$	−1.66836	−	15.8734i	−0.0833140	−	0.792680i	−0.953791	−	0.300471i	$-0.902856\pi$
$401$	−1.66836	−	15.8734i	−0.0833140	−	0.792680i	0.870477	−	0.492209i	$-0.163810\pi$
$402$	−7.03311	+	4.61041i	−0.350780	+	0.229946i
$403$	−28.8627	+	32.0553i	−1.43775	+	1.59679i
$404$	1.29482	−	3.98504i	0.0644196	−	0.198263i
$405$	−27.7736	+	6.40390i	−1.38008	+	0.318212i
$406$	0.457262			0.0226935
$407$	−0.538640	+	1.47655i	−0.0266994	+	0.0731901i
$408$	−24.5155	−	1.17928i	−1.21370	−	0.0583829i
$409$	10.3251	−	4.59702i	0.510543	−	0.227308i	−0.135264	−	0.990810i	$-0.543188\pi$
$409$	10.3251	−	4.59702i	0.510543	−	0.227308i	0.645806	+	0.763501i	$0.276521\pi$
$410$	0.232760	+	0.258507i	0.0114952	+	0.0127667i
$411$	−6.31286	+	6.36731i	−0.311390	+	0.314076i
$412$	−4.93474	−	2.19709i	−0.243117	−	0.108243i
$413$	−0.503320	+	0.365683i	−0.0247667	+	0.0179941i
$414$	3.74166	+	16.8887i	0.183892	+	0.830032i
$415$	1.04241	−	3.20822i	0.0511700	−	0.157485i
$416$	1.84095	−	17.5155i	0.0902602	−	0.858769i
$417$	−11.5467	+	17.9486i	−0.565445	+	0.878949i
$418$	1.44884	+	2.72967i	0.0708653	+	0.133513i
$419$	0.927962	−	1.60728i	0.0453339	−	0.0785207i	−0.842468	−	0.538746i	$-0.818898\pi$
$419$	0.927962	−	1.60728i	0.0453339	−	0.0785207i	0.887802	+	0.460226i	$0.152231\pi$
$420$	−0.806374	+	0.313517i	−0.0393470	+	0.0152981i
$421$	−11.9759	+	2.54557i	−0.583672	+	0.124063i	−0.490278	−	0.871566i	$-0.663105\pi$
$421$	−11.9759	+	2.54557i	−0.583672	+	0.124063i	−0.0933936	+	0.995629i	$0.529771\pi$
$422$	−5.42698	−	16.7025i	−0.264181	−	0.813067i
$423$	−8.16618	−	4.62170i	−0.397053	−	0.224715i
$424$	28.9201	−	21.0117i	1.40449	−	1.02042i
$425$	15.4908	−	17.2043i	0.751413	−	0.834529i
$426$	−0.738869	+	0.120280i	−0.0357983	+	0.00582757i
$427$	−0.911988	+	0.406043i	−0.0441342	+	0.0196498i
$428$	−1.24230	+	2.15174i	−0.0600491	+	0.104008i
$429$	16.8195	−	24.2039i	0.812051	−	1.16858i
$430$	−18.5817	−	32.1844i	−0.896089	−	1.55207i
$431$	11.4862	+	8.34521i	0.553270	+	0.401974i	0.828990	−	0.559264i	$-0.188916\pi$
$431$	11.4862	+	8.34521i	0.553270	+	0.401974i	−0.275719	+	0.961238i	$0.588916\pi$
$432$	−12.0855	+	0.789590i	−0.581464	+	0.0379892i
$433$	−10.7244	−	33.0064i	−0.515384	−	1.58619i	−0.782583	−	0.622547i	$-0.786098\pi$
$433$	−10.7244	−	33.0064i	−0.515384	−	1.58619i	0.267199	−	0.963641i	$-0.413902\pi$
$434$	2.23415	+	0.994709i	0.107243	+	0.0477476i
$435$	7.21105	−	4.72705i	0.345743	−	0.226645i
$436$	2.37771	+	0.505398i	0.113872	+	0.0242042i
$437$	−2.63133	−	2.92239i	−0.125874	−	0.139797i
$438$	−3.13769	+	20.3764i	−0.149924	+	0.973624i
$439$	6.29079	+	10.8960i	0.300243	+	0.520037i	0.976191	−	0.216913i	$-0.0695988\pi$
$439$	6.29079	+	10.8960i	0.300243	+	0.520037i	−0.675948	+	0.736950i	$0.736265\pi$
$440$	−20.7666	−	24.7853i	−0.990008	−	1.18159i
$441$	12.0892	−	16.9435i	0.575677	−	0.806832i
$442$	22.3330	+	16.2259i	1.06227	+	0.771786i
$443$	37.2438	−	7.91641i	1.76951	−	0.376120i	0.796092	−	0.605176i	$-0.206897\pi$
$443$	37.2438	−	7.91641i	1.76951	−	0.376120i	0.973413	+	0.229056i	$0.0735639\pi$
$444$	0.503049	+	0.132479i	0.0238737	+	0.00628719i
$445$	−2.77795	−	26.4304i	−0.131687	−	1.25292i
$446$	0.270648	+	2.57504i	0.0128155	+	0.121932i
$447$	33.8433	+	8.91271i	1.60073	+	0.421557i
$448$	−2.11152	+	0.448818i	−0.0997600	+	0.0212046i
$449$	−15.8170	−	11.4917i	−0.746449	−	0.542327i	0.148275	−	0.988946i	$-0.452628\pi$
$449$	−15.8170	−	11.4917i	−0.746449	−	0.542327i	−0.894724	+	0.446619i	$0.852628\pi$
$450$	10.2434	−	14.3564i	0.482877	−	0.676769i
$451$	−0.0215146	−	0.310925i	−0.00101308	−	0.0146409i
$452$	2.87555	+	4.98060i	0.135255	+	0.234268i
$453$	3.18600	−	20.6902i	0.149691	−	0.972109i
$454$	20.3765	+	22.6304i	0.956318	+	1.06210i
$455$	3.95553	+	0.840774i	0.185438	+	0.0394161i
$456$	3.55487	−	2.33032i	0.166472	−	0.109127i
$457$	−10.3625	−	4.61367i	−0.484736	−	0.215818i	0.149793	−	0.988717i	$-0.452139\pi$
$457$	−10.3625	−	4.61367i	−0.484736	−	0.215818i	−0.634529	+	0.772899i	$0.718806\pi$
$458$	2.29398	+	7.06016i	0.107191	+	0.329900i
$459$	−10.5831	+	21.4492i	−0.493978	+	1.00116i
$460$	8.01014	+	5.81971i	0.373475	+	0.271345i
$461$	−12.8991	−	22.3419i	−0.600772	−	1.04057i	−0.992704	−	0.120573i	$-0.961527\pi$
$461$	−12.8991	−	22.3419i	−0.600772	−	1.04057i	0.391933	−	0.919994i	$-0.371807\pi$
$462$	−1.59980	−	0.482876i	−0.0744292	−	0.0224654i
$463$	10.2149	−	17.6926i	0.474725	−	0.822247i	−0.524856	−	0.851191i	$-0.675881\pi$
$463$	10.2149	−	17.6926i	0.474725	−	0.822247i	0.999581	+	0.0289436i	$0.00921432\pi$
$464$	3.34705	−	1.49020i	0.155383	−	0.0691809i
$465$	45.5157	−	7.40945i	2.11074	−	0.343605i
$466$	−4.14253	+	4.60075i	−0.191899	+	0.213126i
$467$	−0.698522	+	0.507506i	−0.0323237	+	0.0234846i	−0.603830	−	0.797113i	$-0.706359\pi$
$467$	−0.698522	+	0.507506i	−0.0323237	+	0.0234846i	0.571506	+	0.820598i	$0.306359\pi$
$468$	−8.48976	−	4.80484i	−0.392439	−	0.222104i
$469$	0.319455	+	0.983182i	0.0147511	+	0.0453991i
$470$	11.3251	−	2.40722i	0.522386	−	0.111037i
$471$	17.8421	−	6.93700i	0.822122	−	0.319640i
$472$	−3.84785	+	6.66467i	−0.177112	+	0.306766i
$473$	−4.65811	+	32.9700i	−0.214180	+	1.51596i
$474$	−12.8193	+	19.9267i	−0.588809	+	0.915265i
$475$	−0.419085	+	3.98733i	−0.0192290	+	0.182951i
$476$	−0.224353	+	0.690486i	−0.0102832	+	0.0316484i
$477$	−7.53508	−	34.0110i	−0.345008	−	1.55726i
$478$	−10.9797	+	7.97721i	−0.502199	+	0.364869i
$479$	−12.0261	−	5.35436i	−0.549486	−	0.244647i	0.113164	−	0.993576i	$-0.463901\pi$
$479$	−12.0261	−	5.35436i	−0.549486	−	0.244647i	−0.662650	+	0.748930i	$0.730568\pi$
$480$	−13.2567	+	13.3710i	−0.605083	+	0.610302i
$481$	−1.62696	−	1.80692i	−0.0741831	−	0.0823886i
$482$	−7.82210	+	3.48262i	−0.356287	+	0.158629i
$483$	2.12399	+	0.102171i	0.0966450	+	0.00464894i
$484$	0.233155	+	6.96751i	0.0105980	+	0.316705i
$485$	35.1109			1.59430
$486$	−6.16306	+	17.1468i	−0.279562	+	0.777794i
$487$	−4.38709	+	13.5021i	−0.198798	+	0.611837i	0.801113	+	0.598513i	$0.204241\pi$
$487$	−4.38709	+	13.5021i	−0.198798	+	0.611837i	−0.999911	+	0.0133246i	$0.995759\pi$
$488$	−8.26288	+	9.17685i	−0.374043	+	0.415417i
$489$	−22.2378	+	14.5775i	−1.00563	+	0.659219i
$490$	2.68456	+	25.5419i	0.121276	+	1.15387i
$491$	−9.40169	−	1.99839i	−0.424292	−	0.0901861i	−0.00918330	−	0.999958i	$-0.502923\pi$
$491$	−9.40169	−	1.99839i	−0.424292	−	0.0901861i	−0.415109	+	0.909772i	$0.636257\pi$
$492$	−0.101814	+	0.0165741i	−0.00459012	+	0.000747220i
$493$	0.756313	−	7.19584i	0.0340626	−	0.324084i
$494$	−4.78074			−0.215096
$495$	−30.2207	+	8.92328i	−1.35832	+	0.401071i
$496$	19.5952			0.879850
$497$	−0.00961914	+	0.0915200i	−0.000431477	+	0.00410523i
$498$	−1.36429	−	1.67005i	−0.0611353	−	0.0748365i
$499$	22.2283	+	4.72478i	0.995076	+	0.211510i	0.676544	−	0.736402i	$-0.263477\pi$
$499$	22.2283	+	4.72478i	0.995076	+	0.211510i	0.318532	+	0.947912i	$0.396810\pi$
$500$	−0.00617665	−	0.0587669i	−0.000276228	−	0.00262814i
$501$	0.255561	+	4.50612i	0.0114176	+	0.201319i
$502$	14.9287	−	16.5800i	0.666299	−	0.740000i
$503$	−10.3660	+	31.9033i	−0.462197	+	1.42250i	0.400277	+	0.916394i	$0.368914\pi$
$503$	−10.3660	+	31.9033i	−0.462197	+	1.42250i	−0.862474	+	0.506102i	$0.831086\pi$
$504$	−0.458555	+	2.25227i	−0.0204257	+	0.100324i
$505$	20.9381			0.931732
$506$	5.25786	+	18.3869i	0.233741	+	0.817395i
$507$	10.5661	+	20.5188i	0.469256	+	0.911272i
$508$	−1.02670	+	0.457114i	−0.0455522	+	0.0202812i
$509$	12.0092	+	13.3376i	0.532299	+	0.591178i	0.947979	−	0.318333i	$-0.103123\pi$
$509$	12.0092	+	13.3376i	0.532299	+	0.591178i	−0.415680	+	0.909511i	$0.636456\pi$
$510$	−7.76070	−	28.4737i	−0.343649	−	1.26084i
$511$	2.31527	+	1.03083i	0.102422	+	0.0456010i
$512$	−18.0828	+	13.1379i	−0.799156	+	0.580621i
$513$	−0.700625	−	4.08251i	−0.0309334	−	0.180247i
$514$	3.62281	−	11.1499i	0.159795	−	0.491799i
$515$	2.82149	−	26.8447i	0.124330	−	1.18292i
$516$	11.0078	+	0.529511i	0.484592	+	0.0233104i
$517$	−9.32046	−	4.55429i	−0.409913	−	0.200298i
$518$	−0.0689277	+	0.119386i	−0.00302851	+	0.00524553i
$519$	−5.08133	+	32.9986i	−0.223045	+	1.44848i
$520$	48.9290	−	10.4002i	2.14568	−	0.456078i
$521$	0.911819	+	2.80629i	0.0399475	+	0.122946i	0.969041	−	0.246898i	$-0.0794112\pi$
$521$	0.911819	+	2.80629i	0.0399475	+	0.122946i	−0.929094	+	0.369844i	$0.879411\pi$
$522$	−0.0473330	−	5.51179i	−0.00207171	−	0.241244i
$523$	−16.8451	+	12.2387i	−0.736586	+	0.535161i	−0.891640	−	0.452745i	$-0.850445\pi$
$523$	−16.8451	+	12.2387i	−0.736586	+	0.535161i	0.155054	+	0.987906i	$0.450445\pi$
$524$	0.137468	−	0.152674i	0.00600533	−	0.00666960i
$525$	−1.37159	−	1.67898i	−0.0598609	−	0.0732765i
$526$	14.9646	−	6.66265i	0.652486	−	0.290505i
$527$	19.3488	−	33.5132i	0.842848	−	1.45986i
$528$	−13.2838	+	1.67915i	−0.578103	+	0.0730755i
$529$	−0.667523	−	1.15618i	−0.0290228	−	0.0502689i
$530$	34.7746	+	25.2652i	1.51051	+	1.09745i
$531$	4.46001	+	6.02911i	0.193548	+	0.261641i
$532$	−0.0388541	−	0.119581i	−0.00168454	−	0.00518448i
$533$	0.440465	+	0.196107i	0.0190786	+	0.00849436i
$534$	−15.1705	−	7.64790i	−0.656493	−	0.330957i
$535$	−12.1443	−	2.58135i	−0.525044	−	0.111602i
$536$	8.55657	+	9.50304i	0.369588	+	0.410469i
$537$	24.4300	+	19.6100i	1.05423	+	0.846232i
$538$	0.675342	+	1.16973i	0.0291161	+	0.0504305i
$539$	12.2081	−	19.5055i	0.525842	−	0.840162i
$540$	3.86257	+	9.68749i	0.166219	+	0.416883i
$541$	0.775760	+	0.563623i	0.0333525	+	0.0242320i	0.604337	−	0.796729i	$-0.293438\pi$
$541$	0.775760	+	0.563623i	0.0333525	+	0.0242320i	−0.570984	+	0.820961i	$0.693438\pi$
$542$	−33.4333	+	7.10648i	−1.43609	+	0.305249i
$543$	−10.2708	−	37.6831i	−0.440761	−	1.61714i
$544$	1.65159	+	15.7138i	0.0708113	+	0.673724i
$545$	1.26970	+	12.0804i	0.0543878	+	0.517466i
$546$	1.82011	−	1.83581i	0.0778935	−	0.0785653i
$547$	−38.1539	+	8.10985i	−1.63134	+	0.346752i	−0.930422	−	0.366489i	$-0.880560\pi$
$547$	−38.1539	+	8.10985i	−1.63134	+	0.346752i	−0.700919	+	0.713241i	$0.747226\pi$
$548$	2.65423	+	1.92841i	0.113383	+	0.0823777i
$549$	4.98880	+	10.9510i	0.212917	+	0.467376i
$550$	10.3441	−	16.5273i	0.441075	−	0.704726i
$551$	0.626531	+	1.08518i	0.0266911	+	0.0462304i
$552$	24.5159	−	9.53175i	1.04347	−	0.405698i
$553$	1.94897	+	2.16455i	0.0828786	+	0.0920460i
$554$	−25.9895	−	5.52425i	−1.10419	−	0.234703i
$555$	0.147189	+	2.59528i	0.00624784	+	0.110164i
$556$	7.13399	+	3.17626i	0.302548	+	0.134703i
$557$	−14.4206	−	44.3821i	−0.611021	−	1.88053i	−0.448375	−	0.893845i	$-0.647997\pi$
$557$	−14.4206	−	44.3821i	−0.611021	−	1.88053i	−0.162646	−	0.986685i	$-0.552003\pi$
$558$	11.7588	−	27.0332i	0.497792	−	1.14441i
$559$	−41.6731	−	30.2773i	−1.76258	−	1.28059i
$560$	−0.918531	−	1.59094i	−0.0388150	−	0.0672296i
$561$	−10.2450	+	24.3770i	−0.432543	+	1.02920i
$562$	9.88786	−	17.1263i	0.417094	−	0.722428i
$563$	−2.35013	+	1.04635i	−0.0990463	+	0.0440983i	−0.455662	−	0.890153i	$-0.650597\pi$
$563$	−2.35013	+	1.04635i	−0.0990463	+	0.0440983i	0.356615	+	0.934251i	$0.383931\pi$
$564$	−1.21664	+	3.21060i	−0.0512300	+	0.135191i
$565$	−19.2297	+	21.3568i	−0.809000	+	0.898485i
$566$	27.0038	−	19.6194i	1.13505	−	0.824664i
$567$	1.83443	+	1.28524i	0.0770387	+	0.0539751i
$568$	0.351759	+	1.08260i	0.0147595	+	0.0454250i
$569$	−17.9869	+	3.82324i	−0.754052	+	0.160279i	−0.568872	−	0.822426i	$-0.692620\pi$
$569$	−17.9869	+	3.82324i	−0.754052	+	0.160279i	−0.185180	+	0.982705i	$0.559287\pi$
$570$	3.98580	+	3.19940i	0.166947	+	0.134008i
$571$	−17.7347	+	30.7173i	−0.742173	+	1.28548i	0.209332	+	0.977845i	$0.432871\pi$
$571$	−17.7347	+	30.7173i	−0.742173	+	1.28548i	−0.951504	+	0.307636i	$0.900462\pi$
$572$	−9.68978	−	4.73476i	−0.405150	−	0.197970i
$573$	−7.56440	−	14.6897i	−0.316008	−	0.613672i
$574$	0.00285741	−	0.0271864i	0.000119266	−	0.00113474i
$575$	−7.66687	+	23.5962i	−0.319731	+	0.984030i
$576$	5.62857	+	25.4056i	0.234524	+	1.05857i
$577$	−27.8611	+	20.2422i	−1.15987	+	0.842696i	−0.989762	−	0.142730i	$-0.954412\pi$
$577$	−27.8611	+	20.2422i	−1.15987	+	0.842696i	−0.170109	+	0.985425i	$0.554412\pi$
$578$	−4.47173	−	1.99094i	−0.186000	−	0.0828124i
$579$	32.0067	+	8.42906i	1.33015	+	0.350300i
$580$	−2.11107	−	2.34458i	−0.0876572	−	0.0973532i
$581$	−0.242174	+	0.107823i	−0.0100471	+	0.00447324i
$582$	12.1437	−	18.8766i	0.503372	−	0.782460i
$583$	−10.5885	−	37.0281i	−0.438530	−	1.53355i
$584$	31.3497			1.29726
$585$	9.72514	−	47.7665i	0.402085	−	1.97490i
$586$	−5.84342	+	17.9842i	−0.241389	+	0.742920i
$587$	1.35582	−	1.50579i	0.0559606	−	0.0621506i	−0.714515	−	0.699621i	$-0.753352\pi$
$587$	1.35582	−	1.50579i	0.0559606	−	0.0621506i	0.770475	+	0.637470i	$0.220019\pi$
$588$	−6.80069	−	3.42842i	−0.280456	−	0.141386i
$589$	0.700527	+	6.66507i	0.0288647	+	0.274629i
$590$	−9.05136	−	1.92393i	−0.372639	−	0.0792068i
$591$	10.8897	−	28.7368i	0.447941	−	1.18207i
$592$	−0.115458	+	1.09851i	−0.00474530	+	0.0451485i
$593$	−7.39127			−0.303523			−0.151761	−	0.988417i	$-0.548495\pi$
$593$	−7.39127			−0.303523			−0.151761	+	0.988417i	$0.548495\pi$
$594$	−5.65493	+	19.3337i	−0.232025	+	0.793273i
$595$	−3.62793			−0.148731
$596$	1.33855	−	12.7355i	0.0548292	−	0.521665i
$597$	−6.29917	+	16.6229i	−0.257808	+	0.680329i
$598$	−28.9379	−	6.15094i	−1.18336	−	0.251531i
$599$	0.973768	+	9.26478i	0.0397871	+	0.378549i	0.996238	+	0.0866564i	$0.0276182\pi$
$599$	0.973768	+	9.26478i	0.0397871	+	0.378549i	−0.956451	+	0.291892i	$0.905715\pi$
$600$	−23.9467	−	12.0722i	−0.977621	−	0.492847i
$601$	−13.0863	+	14.5338i	−0.533802	+	0.592847i	−0.948368	−	0.317172i	$-0.897267\pi$
$601$	−13.0863	+	14.5338i	−0.533802	+	0.592847i	0.414566	+	0.910019i	$0.363933\pi$
$602$	−0.902480	+	2.77755i	−0.0367823	+	0.113204i
$603$	11.8181	−	3.95245i	0.481270	−	0.160956i
$604$	−7.65985			−0.311675
$605$	−32.7527	+	11.8670i	−1.33158	+	0.482463i
$606$	7.24179	−	11.2569i	0.294177	−	0.457280i
$607$	−25.2174	+	11.2275i	−1.02354	+	0.455711i	−0.848694	−	0.528884i	$-0.822610\pi$
$607$	−25.2174	+	11.2275i	−1.02354	+	0.455711i	−0.174849	+	0.984595i	$0.555944\pi$
$608$	−1.83098	−	2.03351i	−0.0742561	−	0.0824697i
$609$	−0.655243	−	0.172560i	−0.0265518	−	0.00699248i
$610$	−13.5648	−	6.03942i	−0.549221	−	0.244529i
$611$	12.9830	−	9.43273i	0.525238	−	0.381608i
$612$	8.34627	+	2.63285i	0.337378	+	0.106426i
$613$	5.50841	−	16.9532i	0.222483	−	0.684731i	−0.776055	−	0.630666i	$-0.782782\pi$
$613$	5.50841	−	16.9532i	0.222483	−	0.684731i	0.998537	−	0.0540657i	$-0.0172181\pi$
$614$	1.75325	−	16.6811i	0.0707556	−	0.673194i
$615$	−0.235984	−	0.458270i	−0.00951581	−	0.0184792i
$616$	−0.355478	+	2.51607i	−0.0143226	+	0.101375i
$617$	2.55221	−	4.42056i	0.102748	−	0.177965i	−0.810068	−	0.586336i	$-0.800570\pi$
$617$	2.55221	−	4.42056i	0.102748	−	0.177965i	0.912816	+	0.408371i	$0.133903\pi$
$618$	−13.4566	−	10.8016i	−0.541304	−	0.434504i
$619$	−2.49334	+	0.529976i	−0.100216	+	0.0213015i	−0.257747	−	0.966213i	$-0.582980\pi$
$619$	−2.49334	+	0.529976i	−0.100216	+	0.0213015i	0.157531	+	0.987514i	$0.449647\pi$
$620$	−5.21424	−	16.0478i	−0.209409	−	0.644494i
$621$	1.01169	−	25.6129i	0.0405979	−	1.02781i
$622$	3.38277	−	2.45773i	0.135637	−	0.0985458i
$623$	−1.39746	+	1.55204i	−0.0559882	+	0.0621812i
$624$	7.33993	−	19.3693i	0.293832	−	0.775394i
$625$	−22.7034	+	10.1082i	−0.908135	+	0.404328i
$626$	6.47961	−	11.2230i	0.258977	−	0.448562i
$627$	−1.04604	−	4.45829i	−0.0417747	−	0.178047i
$628$	−3.50230	−	6.06615i	−0.139757	−	0.242066i
$629$	1.76475	+	1.28217i	0.0703652	+	0.0511233i
$630$	−2.74604	+	0.312484i	−0.109405	+	0.0124497i
$631$	−9.54676	−	29.3819i	−0.380051	−	1.16968i	−0.940008	−	0.341154i	$-0.889182\pi$
$631$	−9.54676	−	29.3819i	−0.380051	−	1.16968i	0.559957	−	0.828522i	$-0.310818\pi$
$632$	32.9144	+	14.6544i	1.30926	+	0.582922i
$633$	1.47356	+	25.9823i	0.0585689	+	1.03270i
$634$	−13.7974	−	2.93273i	−0.547965	−	0.116474i
$635$	−3.75779	−	4.17345i	−0.149123	−	0.165618i
$636$	−11.8802	+	4.61899i	−0.471079	+	0.183155i
$637$	17.7989	+	30.8285i	0.705216	+	1.22147i
$638$	−0.420652	−	6.07920i	−0.0166538	−	0.240678i
$639$	1.10417	+	0.106474i	0.0436802	+	0.00421206i
$640$	−8.38658	−	6.09321i	−0.331509	−	0.240855i
$641$	−32.2443	+	6.85373i	−1.27357	+	0.270706i	−0.794605	−	0.607127i	$-0.792322\pi$
$641$	−32.2443	+	6.85373i	−1.27357	+	0.270706i	−0.478967	+	0.877833i	$0.658989\pi$
$642$	−5.58812	+	5.63632i	−0.220546	+	0.222448i
$643$	0.543714	+	5.17309i	0.0214420	+	0.204007i	0.999998	−	0.00197382i	$-0.000628286\pi$
$643$	0.543714	+	5.17309i	0.0214420	+	0.204007i	−0.978556	+	0.205981i	$0.933962\pi$
$644$	−0.0813311	−	0.773814i	−0.00320489	−	0.0304925i
$645$	14.4814	+	53.1316i	0.570203	+	2.09206i
$646$	4.19525	−	0.891728i	0.165060	−	0.0350846i
$647$	1.78194	+	1.29465i	0.0700553	+	0.0508981i	0.622262	−	0.782809i	$-0.286214\pi$
$647$	1.78194	+	1.29465i	0.0700553	+	0.0508981i	−0.552206	+	0.833707i	$0.686214\pi$
$648$	27.1960	+	5.29423i	1.06836	+	0.207977i
$649$	5.32470	+	6.35512i	0.209013	+	0.249460i
$650$	15.0812	+	26.1214i	0.591534	+	1.02457i
$651$	−2.82609	−	2.26850i	−0.110763	−	0.0889097i
$652$	6.51022	+	7.23033i	0.254960	+	0.283162i
$653$	39.6409	+	8.42593i	1.55127	+	0.329732i	0.902309	−	0.431091i	$-0.141871\pi$
$653$	39.6409	+	8.42593i	1.55127	+	0.329732i	0.648960	+	0.760823i	$0.275204\pi$
$654$	6.93388	+	3.49557i	0.271136	+	0.136688i
$655$	0.937848	+	0.417557i	0.0366447	+	0.0163153i
$656$	−0.0676841	−	0.208310i	−0.00264262	−	0.00813315i
$657$	12.1858	−	28.0147i	0.475413	−	1.09296i
$658$	−0.736095	−	0.534804i	−0.0286960	−	0.0208488i
$659$	19.7539	+	34.2147i	0.769501	+	1.33282i	0.937834	+	0.347085i	$0.112829\pi$
$659$	19.7539	+	34.2147i	0.769501	+	1.33282i	−0.168332	+	0.985730i	$0.553838\pi$
$660$	4.90995	+	10.4321i	0.191120	+	0.406071i
$661$	18.3547	−	31.7912i	0.713914	−	1.23653i	−0.249464	−	0.968384i	$-0.580254\pi$
$661$	18.3547	−	31.7912i	0.713914	−	1.23653i	0.963377	−	0.268150i	$-0.0864124\pi$
$662$	2.20671	−	0.982492i	0.0857663	−	0.0381856i
$663$	−25.8792	−	31.6791i	−1.00507	−	1.23031i
$664$	−2.19417	+	2.43687i	−0.0851502	+	0.0945689i
$665$	0.508303	−	0.369304i	0.0197111	−	0.0143210i
$666$	1.44620	+	0.818488i	0.0560392	+	0.0317158i
$667$	2.39620	+	7.37474i	0.0927812	+	0.285551i
$668$	1.61537	−	0.343357i	0.0625005	−	0.0132849i
$669$	0.583929	−	3.79209i	0.0225760	−	0.146611i
$670$	−7.68813	+	13.3162i	−0.297018	+	0.514451i
$671$	6.23722	+	11.7511i	0.240785	+	0.453648i
$672$	1.47796	+	0.0710945i	0.0570134	+	0.00274253i
$673$	−1.10341	+	10.4983i	−0.0425334	+	0.404678i	0.952454	+	0.304681i	$0.0985499\pi$
$673$	−1.10341	+	10.4983i	−0.0425334	+	0.404678i	−0.994988	+	0.0999967i	$0.968117\pi$
$674$	−0.198434	+	0.610716i	−0.00764337	+	0.0235239i
$675$	−20.0962	+	16.7067i	−0.773503	+	0.643043i
$676$	6.83205	−	4.96378i	0.262771	−	0.190914i
$677$	−6.40971	−	2.85379i	−0.246345	−	0.109680i	0.279850	−	0.960044i	$-0.409715\pi$
$677$	−6.40971	−	2.85379i	−0.246345	−	0.109680i	−0.526195	+	0.850364i	$0.676382\pi$
$678$	4.83107	+	17.7250i	0.185536	+	0.680725i
$679$	−1.84626	−	2.05048i	−0.0708529	−	0.0786901i
$680$	−40.9969	+	18.2530i	−1.57216	+	0.699970i
$681$	−20.6588	−	40.1183i	−0.791646	−	1.53734i
$682$	11.1692	−	30.6176i	0.427689	−	1.17241i
$683$	−40.0949			−1.53419			−0.767094	−	0.641535i	$-0.778298\pi$
$683$	−40.0949			−1.53419			−0.767094	+	0.641535i	$0.778298\pi$
$684$	−1.43739	+	0.480721i	−0.0549599	+	0.0183808i
$685$	−5.06610	+	15.5919i	−0.193566	+	0.595735i
$686$	2.71303	−	3.01312i	0.103584	−	0.115042i
$687$	−0.622875	−	10.9827i	−0.0237642	−	0.419016i
$688$	2.44600	+	23.2721i	0.0932528	+	0.887241i
$689$	58.2762	+	12.3870i	2.22015	+	0.471906i
$690$	20.0098	+	24.4942i	0.761759	+	0.932479i
$691$	1.93951	−	18.4532i	0.0737826	−	0.701994i	−0.893633	−	0.448799i	$-0.851852\pi$
$691$	1.93951	−	18.4532i	0.0737826	−	0.701994i	0.967415	−	0.253195i	$-0.0814815\pi$
$692$	12.2166			0.464407
$693$	2.11023	+	1.29567i	0.0801611	+	0.0492185i
$694$	−16.6482			−0.631956
$695$	−4.07894	+	38.8085i	−0.154723	+	1.47209i
$696$	−8.27266	+	1.34670i	−0.313574	+	0.0510464i
$697$	−0.423101	−	0.0899329i	−0.0160261	−	0.00340645i
$698$	−2.54495	−	24.2136i	−0.0963278	−	0.916498i
$699$	7.67234	−	5.02944i	0.290195	−	0.190231i
$700$	−0.530807	+	0.589521i	−0.0200626	+	0.0222818i
$701$	−14.4152	+	44.3656i	−0.544456	+	1.67566i	0.177823	+	0.984063i	$0.443095\pi$
$701$	−14.4152	+	44.3656i	−0.544456	+	1.67566i	−0.722279	+	0.691602i	$0.756905\pi$
$702$	−22.3170	−	21.7494i	−0.842302	−	0.820877i
$703$	−0.377773			−0.0142480
$704$	7.90940	+	27.6593i	0.298097	+	1.04245i
$705$	−17.1369	−	0.824340i	−0.645413	−	0.0310464i
$706$	21.8464	−	9.72666i	0.822201	−	0.366068i
$707$	−1.10100	−	1.22278i	−0.0414074	−	0.0459876i
$708$	1.93201	−	1.94867i	0.0726093	−	0.0732356i
$709$	6.04764	+	2.69258i	0.227124	+	0.101122i	0.517144	−	0.855899i	$-0.326995\pi$
$709$	6.04764	+	2.69258i	0.227124	+	0.101122i	−0.290020	+	0.957021i	$0.593662\pi$
$710$	−1.10734	+	0.804532i	−0.0415579	+	0.0301935i
$711$	25.8895	−	23.7167i	0.970932	−	0.889447i
$712$	−7.98313	+	24.5696i	−0.299181	+	0.920783i
$713$	−4.33504	+	41.2451i	−0.162348	+	1.54464i
$714$	−1.25478	+	1.95048i	−0.0469590	+	0.0729948i
$715$	7.53906	−	53.3613i	0.281945	−	1.99560i
$716$	5.73133	−	9.92695i	0.214190	−	0.370987i
$717$	18.7440	−	7.28763i	0.700007	−	0.272162i
$718$	21.7190	−	4.61651i	0.810545	−	0.172287i
$719$	4.27498	+	13.1570i	0.159430	+	0.490674i	0.998583	−	0.0532212i	$-0.0169488\pi$
$719$	4.27498	+	13.1570i	0.159430	+	0.490674i	−0.839153	+	0.543895i	$0.816949\pi$
$720$	−19.0820	+	11.2366i	−0.711143	+	0.418762i
$721$	−1.71610	+	1.24682i	−0.0639108	+	0.0464339i
$722$	14.3633	−	15.9520i	0.534546	−	0.593673i
$723$	12.5231	−	2.03862i	0.465739	−	0.0758170i
$724$	−13.0558	+	5.81283i	−0.485216	+	0.216032i
$725$	3.95289	−	6.84660i	0.146806	−	0.254276i
$726$	−4.94801	+	21.7131i	−0.183638	+	0.805850i
$727$	10.6621	+	18.4673i	0.395435	+	0.684913i	0.993157	−	0.116791i	$-0.0372606\pi$
$727$	10.6621	+	18.4673i	0.395435	+	0.684913i	−0.597722	+	0.801704i	$0.703927\pi$
$728$	−3.18024	−	2.31058i	−0.117867	−	0.0856357i
$729$	15.3023	−	22.2450i	0.566750	−	0.823889i
$730$	11.6487	+	35.8510i	0.431137	+	1.32690i
$731$	42.2170	+	18.7962i	1.56145	+	0.695203i
$732$	3.68251	−	2.41399i	0.136109	−	0.0892237i
$733$	−7.50690	−	1.59564i	−0.277274	−	0.0589363i	0.0671759	−	0.997741i	$-0.478601\pi$
$733$	−7.50690	−	1.59564i	−0.277274	−	0.0589363i	−0.344450	+	0.938805i	$0.611934\pi$
$734$	−3.00960	−	3.34250i	−0.111086	−	0.123374i
$735$	5.79201	−	37.6139i	0.213642	−	1.38741i
$736$	−8.46663	−	14.6646i	−0.312084	−	0.540546i
$737$	12.7773	−	5.15155i	0.470658	−	0.189760i
$738$	−0.327998	−	0.0316287i	−0.0120738	−	0.00116427i
$739$	−15.0693	−	10.9485i	−0.554333	−	0.402746i	0.275048	−	0.961431i	$-0.411306\pi$
$739$	−15.0693	−	10.9485i	−0.554333	−	0.402746i	−0.829380	+	0.558684i	$0.811306\pi$
$740$	0.930365	−	0.197755i	0.0342009	−	0.00726963i
$741$	6.85065	+	1.80414i	0.251665	+	0.0662766i
$742$	−0.353084	−	3.35937i	−0.0129621	−	0.123326i
$743$	0.342469	+	3.25837i	0.0125640	+	0.119538i	0.999006	−	0.0445704i	$-0.0141919\pi$
$743$	0.342469	+	3.25837i	0.0125640	+	0.119538i	−0.986442	+	0.164109i	$0.947525\pi$
$744$	−43.3492	−	11.4161i	−1.58926	−	0.418536i
$745$	62.5915	−	13.3042i	2.29318	−	0.487429i
$746$	−8.60874	−	6.25461i	−0.315188	−	0.228998i
$747$	1.32475	+	2.90798i	0.0484701	+	0.106397i
$748$	9.38625	+	2.34751i	0.343195	+	0.0858336i
$749$	0.487841	+	0.844965i	0.0178253	+	0.0308744i
$750$	0.0287281	−	0.186563i	0.00104900	−	0.00681231i
$751$	−0.0980551	−	0.108901i	−0.00357808	−	0.00397386i	0.741353	−	0.671115i	$-0.234184\pi$
$751$	−0.0980551	−	0.108901i	−0.00357808	−	0.00397386i	−0.744931	+	0.667141i	$0.767518\pi$
$752$	−7.13094	−	1.51573i	−0.260039	−	0.0552729i
$753$	−27.6492	+	18.1249i	−1.00759	+	0.660507i
$754$	8.61194	+	3.83428i	0.313629	+	0.139636i
$755$	−11.8281	−	36.4030i	−0.430467	−	1.32484i
$756$	0.362642	−	0.734977i	0.0131891	−	0.0267309i
$757$	10.6769	+	7.75721i	0.388058	+	0.281941i	0.764659	−	0.644435i	$-0.222907\pi$
$757$	10.6769	+	7.75721i	0.388058	+	0.281941i	−0.376601	+	0.926376i	$0.622907\pi$
$758$	−15.5959	−	27.0129i	−0.566469	−	0.981153i
$759$	−0.595600	−	28.3320i	−0.0216189	−	1.02839i
$760$	3.88594	−	6.73065i	0.140958	−	0.244146i
$761$	−5.53751	+	2.46546i	−0.200735	+	0.0893728i	−0.504642	−	0.863329i	$-0.668375\pi$
$761$	−5.53751	+	2.46546i	−0.200735	+	0.0893728i	0.303907	+	0.952702i	$0.401709\pi$
$762$	−3.54346	+	0.576835i	−0.128366	+	0.0208965i
$763$	0.638728	−	0.709379i	0.0231235	−	0.0256813i
$764$	−4.89117	+	3.55364i	−0.176956	+	0.128566i
$765$	0.375542	+	43.7307i	0.0135777	+	1.58109i
$766$	1.60486	+	4.93926i	0.0579861	+	0.178463i
$767$	−12.5457	+	2.66668i	−0.453001	+	0.0962882i
$768$	21.8284	−	8.48687i	0.787666	−	0.306243i
$769$	13.0916	−	22.6754i	0.472097	−	0.817695i	−0.527394	−	0.849621i	$-0.676831\pi$
$769$	13.0916	−	22.6754i	0.472097	−	0.817695i	0.999490	+	0.0319257i	$0.0101640\pi$
$770$	−3.00942	+	0.528383i	−0.108452	+	0.0190416i
$771$	−9.39906	+	14.6102i	−0.338499	+	0.526175i
$772$	1.26591	−	12.0444i	0.0455612	−	0.433486i
$773$	6.92195	−	21.3036i	0.248965	−	0.766236i	−0.745994	−	0.665953i	$-0.768025\pi$
$773$	6.92195	−	21.3036i	0.248965	−	0.766236i	0.994959	−	0.100283i	$-0.0319749\pi$
$774$	33.5737	+	10.5909i	1.20678	+	0.380681i
$775$	34.2073	−	24.8531i	1.22876	−	0.892749i
$776$	−31.1798	−	13.8821i	−1.11929	−	0.498340i
$777$	0.143825	−	0.145065i	0.00515968	−	0.00520418i
$778$	9.12470	+	10.1340i	0.327136	+	0.363322i
$779$	0.0684346	−	0.0304690i	0.00245192	−	0.00109167i
$780$	−17.8159	−	0.857005i	−0.637913	−	0.0306857i
$781$	1.22559	+	0.0436917i	0.0438549	+	0.00156341i
$782$	26.5413			0.949113
$783$	−2.01219	+	7.91609i	−0.0719098	+	0.282898i
$784$	4.99722	−	15.3798i	0.178472	−	0.549280i
$785$	23.4209	−	26.0116i	0.835929	−	0.928393i
$786$	0.548860	−	0.359794i	0.0195772	−	0.0128334i
$787$	−2.52145	−	23.9900i	−0.0898801	−	0.855152i	−0.942856	−	0.333201i	$-0.891871\pi$
$787$	−2.52145	−	23.9900i	−0.0898801	−	0.855152i	0.852976	−	0.521951i	$-0.174796\pi$
$788$	−10.9988	−	2.33787i	−0.391817	−	0.0832833i
$789$	−23.9581	+	3.90011i	−0.852930	+	0.138848i
$790$	−4.52847	+	43.0855i	−0.161116	+	1.53291i
$791$	2.25840			0.0802996
$792$	30.3652	+	4.02445i	1.07898	+	0.143002i
$793$	−20.5809			−0.730849
$794$	3.70398	−	35.2410i	0.131449	−	1.25066i
$795$	−40.2964	−	49.3273i	−1.42917	−	1.74946i
$796$	6.36232	+	1.35235i	0.225506	+	0.0479328i
$797$	−1.11289	−	10.5885i	−0.0394207	−	0.375063i	−0.996391	−	0.0848784i	$-0.972950\pi$
$797$	−1.11289	−	10.5885i	−0.0394207	−	0.375063i	0.956971	−	0.290185i	$-0.0937168\pi$
$798$	−0.0227428	−	0.401007i	−0.000805088	−	0.0141955i
$799$	−9.63360	+	10.6992i	−0.340812	+	0.378510i
$800$	−5.33491	+	16.4192i	−0.188617	+	0.580505i
$801$	18.8528	+	16.6842i	0.666130	+	0.589507i
$802$	−18.6560			−0.658766
$803$	11.5747	−	31.7293i	0.408462	−	1.11970i
$804$	−2.08749	−	4.05381i	−0.0736202	−	0.142967i
$805$	3.55192	−	1.58142i	0.125189	−	0.0557376i
$806$	33.7365	+	37.4681i	1.18832	+	1.31976i
$807$	−0.526318	−	1.93104i	−0.0185273	−	0.0679759i
$808$	−18.5938	−	8.27850i	−0.654128	−	0.291237i
$809$	−17.1462	+	12.4574i	−0.602828	+	0.437980i	−0.846882	−	0.531782i	$-0.821523\pi$
$809$	−17.1462	+	12.4574i	−0.602828	+	0.437980i	0.244054	+	0.969762i	$0.421523\pi$
$810$	4.05090	+	33.0681i	0.142334	+	1.16189i
$811$	−8.28786	+	25.5074i	−0.291026	+	0.895687i	0.693501	+	0.720456i	$0.256067\pi$
$811$	−8.28786	+	25.5074i	−0.291026	+	0.895687i	−0.984527	+	0.175231i	$0.943933\pi$
$812$	−0.0259158	+	0.246573i	−0.000909467	+	0.00865300i
$813$	50.5908	+	2.43358i	1.77430	+	0.0853494i
$814$	1.65062	+	0.806550i	0.0578543	+	0.0282696i
$815$	−24.3089	+	42.1042i	−0.851503	+	1.47485i
$816$	−2.82815	+	18.3663i	−0.0990052	+	0.642950i
$817$	−7.82829	+	1.66395i	−0.273877	+	0.0582144i
$818$	−4.08233	−	12.5641i	−0.142735	−	0.439295i
$819$	−3.30095	+	1.94379i	−0.115345	+	0.0679215i
$820$	−0.152588	+	0.110862i	−0.00532861	+	0.00387146i
$821$	20.1111	−	22.3356i	0.701882	−	0.779519i	−0.281792	−	0.959475i	$-0.590929\pi$
$821$	20.1111	−	22.3356i	0.701882	−	0.779519i	0.983675	+	0.179956i	$0.0575956\pi$
$822$	6.63042	+	8.11639i	0.231263	+	0.283091i
$823$	3.03725	−	1.35227i	0.105872	−	0.0471373i	−0.353117	−	0.935579i	$-0.614878\pi$
$823$	3.03725	−	1.35227i	0.105872	−	0.0471373i	0.458989	+	0.888442i	$0.348212\pi$
$824$	−13.1195	+	22.7236i	−0.457038	+	0.791613i
$825$	−21.0598	+	19.7795i	−0.733209	+	0.688633i
$826$	0.363596	+	0.629767i	0.0126511	+	0.0219124i
$827$	−26.3334	−	19.1323i	−0.915701	−	0.665296i	0.0267490	−	0.999642i	$-0.491485\pi$
$827$	−26.3334	−	19.1323i	−0.915701	−	0.665296i	−0.942450	+	0.334346i	$0.891485\pi$
$828$	−9.31905	+	1.06046i	−0.323859	+	0.0368534i
$829$	−1.51757	−	4.67060i	−0.0527074	−	0.162217i	0.921238	−	0.389000i	$-0.127179\pi$
$829$	−1.51757	−	4.67060i	−0.0527074	−	0.162217i	−0.973945	+	0.226783i	$0.927179\pi$
$830$	−3.60205	−	1.60374i	−0.125029	−	0.0556666i
$831$	35.1575	+	17.7239i	1.21960	+	0.614835i
$832$	−43.5313	−	9.25285i	−1.50917	−	0.320785i
$833$	−21.3694	−	23.7331i	−0.740405	−	0.822303i
$834$	19.4538	+	15.6155i	0.673629	+	0.540721i
$835$	4.12618	+	7.14675i	0.142792	+	0.247324i
$836$	−1.55405	+	0.626563i	−0.0537481	+	0.0216701i
$837$	−27.0518	+	34.3003i	−0.935046	+	1.18559i
$838$	−1.75501	−	1.27509i	−0.0606260	−	0.0440474i
$839$	−20.2547	+	4.30526i	−0.699269	+	0.148634i	−0.543810	−	0.839208i	$-0.683019\pi$
$839$	−20.2547	+	4.30526i	−0.699269	+	0.148634i	−0.155459	+	0.987842i	$0.549686\pi$
$840$	1.10513	+	4.05468i	0.0381306	+	0.139900i
$841$	2.77305	+	26.3838i	0.0956224	+	0.909786i
$842$	1.49590	+	14.2325i	0.0515521	+	0.490486i
$843$	−20.6320	+	20.8100i	−0.710605	+	0.716734i
$844$	9.31421	−	1.97980i	0.320608	−	0.0681474i
$845$	34.1399	+	24.8041i	1.17445	+	0.853285i
$846$	−6.37027	+	8.92816i	−0.219014	+	0.306956i
$847$	2.41529	+	1.28875i	0.0829903	+	0.0442818i
$848$	−13.5326	−	23.4391i	−0.464710	−	0.804902i
$849$	−46.0995	+	17.9234i	−1.58213	+	0.615130i
$850$	−18.1066	−	20.1094i	−0.621050	−	0.689746i
$851$	−2.28667	−	0.486046i	−0.0783860	−	0.0166615i
$852$	−0.0229830	−	0.405242i	−0.000787385	−	0.0138834i
$853$	43.9613	+	19.5728i	1.50521	+	0.670161i	0.983158	−	0.182755i	$-0.0585016\pi$
$853$	43.9613	+	19.5728i	1.50521	+	0.670161i	0.522048	+	0.852916i	$0.325168\pi$
$854$	0.360582	+	1.10976i	0.0123389	+	0.0379751i
$855$	−4.50416	−	6.08879i	−0.154039	−	0.208232i
$856$	9.76400	+	7.09396i	0.333727	+	0.242467i
$857$	−18.4177	−	31.9004i	−0.629138	−	1.08970i	−0.987725	−	0.156202i	$-0.950075\pi$
$857$	−18.4177	−	31.9004i	−0.629138	−	1.08970i	0.358588	−	0.933496i	$-0.383258\pi$
$858$	−26.0810	−	22.5091i	−0.890392	−	0.768449i
$859$	12.3159	−	21.3318i	0.420214	−	0.727831i	−0.575746	−	0.817628i	$-0.695288\pi$
$859$	12.3159	−	21.3318i	0.420214	−	0.727831i	0.995960	+	0.0897969i	$0.0286218\pi$
$860$	18.4082	−	8.19585i	0.627713	−	0.279476i
$861$	−0.0143541	+	0.0378790i	−0.000489186	+	0.00129091i
$862$	11.1043	−	12.3326i	0.378215	−	0.420050i
$863$	10.1353	−	7.36369i	0.345008	−	0.250663i	−0.401764	−	0.915743i	$-0.631603\pi$
$863$	10.1353	−	7.36369i	0.345008	−	0.250663i	0.746772	+	0.665080i	$0.231603\pi$
$864$	0.703976	−	17.8225i	0.0239497	−	0.606333i
$865$	18.8645	+	58.0589i	0.641412	+	1.97406i
$866$	−39.6789	+	8.43401i	−1.34834	+	0.286599i
$867$	5.65653	+	4.54049i	0.192106	+	0.154203i
$868$	−0.663007	+	1.14836i	−0.0225039	+	0.0389779i
$869$	26.9843	−	27.9024i	0.915379	−	0.946523i
$870$	−4.61396	−	8.96008i	−0.156428	−	0.303775i
$871$	−2.22776	+	21.1957i	−0.0754846	+	0.718188i
$872$	3.64879	−	11.2298i	0.123564	−	0.380290i
$873$	−24.5251	+	22.4668i	−0.830049	+	0.760387i
$874$	−3.71865	+	2.70175i	−0.125785	+	0.0913882i
$875$	−0.0211982	−	0.00943804i	−0.000716630	−	0.000319064i
$876$	−10.8099	−	2.84681i	−0.365232	−	0.0961849i
$877$	−17.2291	−	19.1349i	−0.581787	−	0.646140i	0.378352	−	0.925662i	$-0.376491\pi$
$877$	−17.2291	−	19.1349i	−0.581787	−	0.646140i	−0.960139	+	0.279522i	$0.909824\pi$
$878$	13.4347	−	5.98152i	0.453400	−	0.201867i
$879$	15.1603	−	23.5656i	0.511343	−	0.794849i
$880$	−20.3062	+	13.6752i	−0.684523	+	0.460992i
$881$	36.6362			1.23430			0.617152	−	0.786844i	$-0.288286\pi$
$881$	36.6362			1.23430			0.617152	+	0.786844i	$0.288286\pi$
$882$	−18.2190	−	16.1233i	−0.613466	−	0.542901i
$883$	6.00259	−	18.4741i	0.202003	−	0.621702i	−0.797820	−	0.602896i	$-0.794013\pi$
$883$	6.00259	−	18.4741i	0.202003	−	0.621702i	0.999823	−	0.0188063i	$-0.00598659\pi$
$884$	−10.0153	+	11.1232i	−0.336852	+	0.374112i
$885$	12.2443	+	6.17269i	0.411587	+	0.207493i
$886$	−4.65207	−	44.2615i	−0.156289	−	1.48700i
$887$	−50.9669	−	10.8334i	−1.71130	−	0.363748i	−0.754909	−	0.655830i	$-0.772319\pi$
$887$	−50.9669	−	10.8334i	−1.71130	−	0.363748i	−0.956393	+	0.292082i	$0.905652\pi$
$888$	0.895412	−	2.36290i	0.0300481	−	0.0792938i
$889$	−0.0461313	+	0.438910i	−0.00154720	+	0.0147206i
$890$	−31.0636			−1.04126
$891$	15.3994	−	25.5706i	0.515901	−	0.856649i
$892$	−1.40390			−0.0470059
$893$	0.260626	−	2.47969i	0.00872152	−	0.0829797i
$894$	14.4956	−	38.2524i	0.484805	−	1.27935i
$895$	56.0273	+	11.9090i	1.87279	+	0.398073i
$896$	0.0851534	+	0.810180i	0.00284477	+	0.0270662i
$897$	39.1459	+	19.7346i	1.30704	+	0.658919i
$898$	−15.2911	+	16.9825i	−0.510272	+	0.566714i
$899$	4.08365	−	12.5682i	0.136197	−	0.419173i
$900$	7.16096	+	6.33726i	0.238699	+	0.211242i
$901$	−53.4497			−1.78067
$902$	−0.364066	−	0.0129788i	−0.0121221	−	0.000432147i
$903$	2.34141	−	3.63957i	0.0779171	−	0.121117i
$904$	25.5207	−	11.3626i	0.848807	−	0.377913i
$905$	−47.7854	−	53.0711i	−1.58844	−	1.76414i
$906$	−23.6622	−	6.23150i	−0.786124	−	0.207028i
$907$	−52.3834	−	23.3226i	−1.73936	−	0.774414i	−0.994202	−	0.107528i	$-0.965707\pi$
$907$	−52.3834	−	23.3226i	−1.73936	−	0.774414i	−0.745160	−	0.666886i	$-0.767627\pi$
$908$	−13.3580	+	9.70517i	−0.443302	+	0.322078i
$909$	−14.6253	+	13.3979i	−0.485092	+	0.444381i
$910$	1.46065	−	4.49541i	0.0484200	−	0.149021i
$911$	−1.53046	+	14.5614i	−0.0507065	+	0.482440i	0.939471	+	0.342627i	$0.111317\pi$
$911$	−1.53046	+	14.5614i	−0.0507065	+	0.482440i	−0.990178	+	0.139813i	$0.955350\pi$
$912$	−1.47334	−	2.86116i	−0.0487872	−	0.0947425i
$913$	1.65626	+	3.12046i	0.0548143	+	0.103272i
$914$	−6.62927	+	11.4822i	−0.219277	+	0.379799i
$915$	17.1587	+	13.7733i	0.567251	+	0.455332i
$916$	−3.93711	+	0.836859i	−0.130086	+	0.0276506i
$917$	−0.0249301	−	0.0767270i	−0.000823265	−	0.00253375i
$918$	23.6407	+	14.9231i	0.780260	+	0.492535i
$919$	−8.29284	+	6.02510i	−0.273556	+	0.198750i	−0.716102	−	0.697996i	$-0.754075\pi$
$919$	−8.29284	+	6.02510i	−0.273556	+	0.198750i	0.442546	+	0.896746i	$0.354075\pi$
$920$	32.1814	−	35.7411i	1.06099	−	1.17835i
$921$	−8.80741	+	23.2419i	−0.290214	+	0.765846i
$922$	−27.5476	+	12.2650i	−0.907230	+	0.403925i
$923$	−0.948587	+	1.64300i	−0.0312231	+	0.0540800i
$924$	0.351055	−	0.835301i	0.0115488	−	0.0274794i
$925$	1.19171	+	2.06411i	0.0391833	+	0.0678675i
$926$	−19.3189	−	14.0360i	−0.634859	−	0.461252i
$927$	15.2066	+	20.5566i	0.499452	+	0.675167i
$928$	1.66737	+	5.13163i	0.0547340	+	0.168454i
$929$	−32.4330	−	14.4401i	−1.06409	−	0.473764i	−0.201407	−	0.979508i	$-0.564551\pi$
$929$	−32.4330	−	14.4401i	−1.06409	−	0.473764i	−0.862684	+	0.505744i	$0.831218\pi$
$930$	−3.05210	−	53.8154i	−0.100082	−	1.76468i
$931$	5.40992	+	1.14991i	0.177303	+	0.0376869i
$932$	−2.24611	−	2.49456i	−0.0735738	−	0.0817120i
$933$	−5.77489	+	2.24527i	−0.189062	+	0.0735068i
$934$	0.504609	+	0.874008i	0.0165113	+	0.0285984i
$935$	3.33747	+	48.2325i	0.109147	+	1.57737i
$936$	−27.5222	+	38.5734i	−0.899592	+	1.26081i
$937$	34.7379	+	25.2386i	1.13484	+	0.824509i	0.986392	−	0.164412i	$-0.0525725\pi$
$937$	34.7379	+	25.2386i	1.13484	+	0.824509i	0.148447	+	0.988920i	$0.452573\pi$
$938$	1.18194	−	0.251229i	0.0385916	−	0.00820291i
$939$	−13.5204	+	13.6370i	−0.441221	+	0.445026i
$940$	0.656200	+	6.24332i	0.0214029	+	0.203635i
$941$	−0.774917	−	7.37285i	−0.0252616	−	0.240348i	−0.999865	−	0.0164114i	$-0.994776\pi$
$941$	−0.774917	−	7.37285i	−0.0252616	−	0.240348i	0.974604	−	0.223936i	$-0.0718908\pi$
$942$	−5.88403	−	21.5883i	−0.191712	−	0.703384i
$943$	0.453438	−	0.0963811i	0.0147660	−	0.00313860i
$944$	4.71382	+	3.42479i	0.153422	+	0.111468i
$945$	4.05291	+	0.588509i	0.131841	+	0.0191442i
$946$	37.7571	+	9.44310i	1.22759	+	0.307022i
$947$	6.74751	+	11.6870i	0.219265	+	0.379778i	0.954583	−	0.297944i	$-0.0963008\pi$
$947$	6.74751	+	11.6870i	0.219265	+	0.379778i	−0.735319	+	0.677722i	$0.762968\pi$
$948$	−10.0187	−	8.04199i	−0.325392	−	0.261192i
$949$	34.9614	+	38.8285i	1.13489	+	1.26043i
$950$	4.58390	+	0.974338i	0.148721	+	0.0316117i
$951$	18.6645	+	9.40933i	0.605239	+	0.305118i
$952$	3.22174	+	1.43441i	0.104417	+	0.0464895i
$953$	2.71229	+	8.34756i	0.0878596	+	0.270404i	0.985327	−	0.170676i	$-0.0545953\pi$
$953$	2.71229	+	8.34756i	0.0878596	+	0.270404i	−0.897468	+	0.441081i	$0.854595\pi$
$954$	−40.4569	+	4.60378i	−1.30984	+	0.149053i
$955$	−24.4412	−	17.7576i	−0.790899	−	0.574622i
$956$	−3.67932	−	6.37277i	−0.118998	−	0.206110i
$957$	−1.69136	+	8.87005i	−0.0546740	+	0.286728i
$958$	−7.69355	+	13.3256i	−0.248567	+	0.430531i
$959$	1.17696	−	0.524016i	0.0380060	−	0.0169214i
$960$	30.1007	+	36.8466i	0.971496	+	1.18922i
$961$	26.5497	−	29.4865i	0.856443	−	0.951176i
$962$	−2.29925	+	1.67051i	−0.0741309	+	0.0538593i
$963$	10.1346	−	5.96785i	0.326584	−	0.192311i
$964$	−1.43463	−	4.41534i	−0.0462064	−	0.142209i
$965$	59.1949	−	12.5823i	1.90555	−	0.405038i
$966$	0.378277	−	2.45657i	0.0121709	−	0.0790388i
$967$	−7.08115	+	12.2649i	−0.227714	+	0.394413i	−0.957130	−	0.289658i	$-0.906459\pi$
$967$	−7.08115	+	12.2649i	−0.227714	+	0.394413i	0.729416	+	0.684070i	$0.239792\pi$
$968$	33.7776	+	2.41138i	1.08565	+	0.0775047i
$969$	−6.34819	−	0.305368i	−0.203933	−	0.00980984i
$970$	4.28982	−	40.8149i	0.137738	−	1.31049i
$971$	−3.19298	+	9.82700i	−0.102468	+	0.315363i	−0.989128	−	0.147059i	$-0.953019\pi$
$971$	−3.19298	+	9.82700i	−0.102468	+	0.315363i	0.886660	+	0.462422i	$0.153019\pi$
$972$	−8.89687	−	4.29516i	−0.285367	−	0.137767i
$973$	2.48090	−	1.80248i	0.0795341	−	0.0577849i
$974$	15.1596	+	6.74948i	0.485744	+	0.216267i
$975$	−11.7533	−	43.1225i	−0.376407	−	1.38103i
$976$	6.25603	+	6.94803i	0.200251	+	0.222401i
$977$	43.9858	−	19.5837i	1.40723	−	0.626539i	0.444198	−	0.895928i	$-0.353489\pi$
$977$	43.9858	−	19.5837i	1.40723	−	0.626539i	0.963031	+	0.269389i	$0.0868219\pi$
$978$	14.2288	+	27.6316i	0.454986	+	0.883561i
$979$	21.9196	+	17.1512i	0.700553	+	0.548154i
$980$	−13.9253			−0.444827
$981$	−8.61690	−	7.62573i	−0.275116	−	0.243471i
$982$	−3.47173	+	10.6849i	−0.110787	+	0.340969i
$983$	−18.0267	+	20.0206i	−0.574961	+	0.638559i	−0.958543	−	0.284948i	$-0.908024\pi$
$983$	−18.0267	+	20.0206i	−0.574961	+	0.638559i	0.383582	+	0.923507i	$0.374690\pi$
$984$	0.0283722	+	0.500265i	0.000904471	+	0.0159479i
$985$	−5.87337	−	55.8813i	−0.187141	−	1.78053i
$986$	−8.27245	−	1.75836i	−0.263449	−	0.0559977i
$987$	0.852979	+	1.04414i	0.0271506	+	0.0332354i
$988$	0.270953	−	2.57795i	0.00862018	−	0.0820155i
$989$	−49.5257			−1.57482
$990$	6.68059	+	36.2205i	0.212323	+	1.15116i
$991$	−33.7506			−1.07212			−0.536062	−	0.844179i	$-0.680089\pi$
$991$	−33.7506			−1.07212			−0.536062	+	0.844179i	$0.680089\pi$
$992$	−3.01649	+	28.6999i	−0.0957735	+	0.911224i
$993$	−3.53292	+	0.575120i	−0.112114	+	0.0182509i
$994$	0.105213	+	0.0223637i	0.00333715	+	0.000709333i
$995$	3.39747	+	32.3248i	0.107707	+	1.02476i
$996$	0.977873	−	0.641024i	0.0309851	−	0.0203116i
$997$	32.8251	−	36.4560i	1.03958	−	1.15457i	0.0518115	−	0.998657i	$-0.483501\pi$
$997$	32.8251	−	36.4560i	1.03958	−	1.15457i	0.987770	−	0.155916i	$-0.0498328\pi$
$998$	8.20819	−	25.2622i	0.259826	−	0.799661i
$999$	−1.76349	−	1.71863i	−0.0557943	−	0.0543751i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	99.2.m.b.4.7	✓	72
3.2	odd	2		297.2.n.b.37.3		72
9.2	odd	6		297.2.n.b.235.7		72
9.4	even	3		891.2.f.f.730.7		36
9.5	odd	6		891.2.f.e.730.3		36
9.7	even	3	inner	99.2.m.b.70.3	yes	72
11.3	even	5	inner	99.2.m.b.58.3	yes	72
11.5	even	5		1089.2.e.p.364.12		36
11.6	odd	10		1089.2.e.o.364.7		36
33.14	odd	10		297.2.n.b.91.7		72
99.5	odd	30		9801.2.a.cp.1.12		18
99.14	odd	30		891.2.f.e.487.3		36
99.16	even	15		1089.2.e.p.727.12		36
99.25	even	15	inner	99.2.m.b.25.7	yes	72
99.47	odd	30		297.2.n.b.289.3		72
99.49	even	15		9801.2.a.cm.1.7		18
99.50	even	30		9801.2.a.cn.1.7		18
99.58	even	15		891.2.f.f.487.7		36
99.61	odd	30		1089.2.e.o.727.7		36
99.94	odd	30		9801.2.a.co.1.12		18

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
99.2.m.b.4.7	✓	72	1.1	even	1	trivial
99.2.m.b.25.7	yes	72	99.25	even	15	inner
99.2.m.b.58.3	yes	72	11.3	even	5	inner
99.2.m.b.70.3	yes	72	9.7	even	3	inner
297.2.n.b.37.3		72	3.2	odd	2
297.2.n.b.91.7		72	33.14	odd	10
297.2.n.b.235.7		72	9.2	odd	6
297.2.n.b.289.3		72	99.47	odd	30
891.2.f.e.487.3		36	99.14	odd	30
891.2.f.e.730.3		36	9.5	odd	6
891.2.f.f.487.7		36	99.58	even	15
891.2.f.f.730.7		36	9.4	even	3
1089.2.e.o.364.7		36	11.6	odd	10
1089.2.e.o.727.7		36	99.61	odd	30
1089.2.e.p.364.12		36	11.5	even	5
1089.2.e.p.727.12		36	99.16	even	15
9801.2.a.cm.1.7		18	99.49	even	15
9801.2.a.cn.1.7		18	99.50	even	30
9801.2.a.co.1.12		18	99.94	odd	30
9801.2.a.cp.1.12		18	99.5	odd	30

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 $\F_{q}$
Belyi maps

Level:	\( N \)	\(=\)	\( 99 = 3^{2} \cdot 11 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	99.m (of order \(15\), degree \(8\), minimal)

\(f(q)\)	\(=\)	\(q+(0.122179 - 1.16246i) q^{2} +(-0.613763 + 1.61966i) q^{3} +(0.619915 + 0.131767i) q^{4} +(0.331034 + 3.14958i) q^{5} +(1.80780 + 0.911362i) q^{6} +(0.166529 - 0.184949i) q^{7} +(0.951310 - 2.92783i) q^{8} +(-2.24659 - 1.98817i) q^{9} +3.70170 q^{10} +(-2.61205 - 2.04382i) q^{11} +(-0.593899 + 0.923178i) q^{12} +(4.68720 - 2.08688i) q^{13} +(-0.194649 - 0.216179i) q^{14} +(-5.30442 - 1.39693i) q^{15} +(-2.12930 - 0.948027i) q^{16} +(-3.72392 + 2.70559i) q^{17} +(-2.58565 + 2.36865i) q^{18} +(0.246338 - 0.758149i) q^{19} +(-0.209798 + 1.99609i) q^{20} +(0.197345 + 0.383234i) q^{21} +(-2.69499 + 2.78668i) q^{22} +(2.46653 - 4.27215i) q^{23} +(4.15821 + 3.33779i) q^{24} +(-4.91954 + 1.04568i) q^{25} +(-1.85323 - 5.70365i) q^{26} +(4.59904 - 2.41844i) q^{27} +(0.127604 - 0.0927096i) q^{28} +(-1.05181 + 1.16815i) q^{29} +(-2.27197 + 5.99549i) q^{30} +(-7.68019 + 3.41944i) q^{31} +(1.71631 - 2.97273i) q^{32} +(4.91347 - 2.97621i) q^{33} +(2.69014 + 4.65947i) q^{34} +(0.637638 + 0.463271i) q^{35} +(-1.13072 - 1.52853i) q^{36} +(-0.146442 - 0.450701i) q^{37} +(-0.851219 - 0.378987i) q^{38} +(0.503199 + 8.87252i) q^{39} +(9.53636 + 2.02702i) q^{40} +(0.0628793 + 0.0698346i) q^{41} +(0.469605 - 0.182582i) q^{42} +(-5.01977 - 8.69450i) q^{43} +(-1.34994 - 1.61118i) q^{44} +(5.51821 - 7.73397i) q^{45} +(-4.66484 - 3.38920i) q^{46} +(3.05942 - 0.650300i) q^{47} +(2.84237 - 2.86688i) q^{48} +(0.725225 + 6.90005i) q^{49} +(0.614493 + 5.84651i) q^{50} +(-2.09652 - 7.69207i) q^{51} +(3.18065 - 0.676068i) q^{52} +(9.39421 + 6.82530i) q^{53} +(-2.24943 - 5.64167i) q^{54} +(5.57250 - 8.90343i) q^{55} +(-0.383079 - 0.663512i) q^{56} +(1.07675 + 0.864307i) q^{57} +(1.22941 + 1.36540i) q^{58} +(-2.44519 - 0.519741i) q^{59} +(-3.10422 - 1.56493i) q^{60} +(-3.66447 - 1.63153i) q^{61} +(3.03660 + 9.34568i) q^{62} +(-0.741832 + 0.0844164i) q^{63} +(-7.01731 - 5.09837i) q^{64} +(8.12442 + 14.0719i) q^{65} +(-2.85939 - 6.07533i) q^{66} +(-2.07692 + 3.59733i) q^{67} +(-2.66502 + 1.18654i) q^{68} +(5.40557 + 6.61702i) q^{69} +(0.616439 - 0.684625i) q^{70} +(-0.299145 + 0.217341i) q^{71} +(-7.95824 + 4.68627i) q^{72} +(3.14685 + 9.68501i) q^{73} +(-0.541814 + 0.115166i) q^{74} +(1.32578 - 8.60977i) q^{75} +(0.252607 - 0.437529i) q^{76} +(-0.812983 + 0.142741i) q^{77} +(10.3754 + 0.499091i) q^{78} +(-1.22335 + 11.6394i) q^{79} +(2.28102 - 7.02024i) q^{80} +(1.09434 + 8.93322i) q^{81} +(0.0888623 - 0.0645622i) q^{82} +(-0.973081 - 0.433244i) q^{83} +(0.0718395 + 0.263576i) q^{84} +(-9.75421 - 10.8331i) q^{85} +(-10.7203 + 4.77299i) q^{86} +(-1.24644 - 2.42053i) q^{87} +(-8.46883 + 5.70333i) q^{88} -8.39173 q^{89} +(-8.31620 - 7.35962i) q^{90} +(0.394588 - 1.21442i) q^{91} +(2.09197 - 2.32337i) q^{92} +(-0.824513 - 14.5380i) q^{93} +(-0.382149 - 3.63590i) q^{94} +(2.46940 + 0.524887i) q^{95} +(3.76140 + 4.60438i) q^{96} +(1.15888 - 11.0260i) q^{97} +8.10963 q^{98} +(1.80474 + 9.78483i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 72 q - q^{2} - 12 q^{3} + 11 q^{4} - 8 q^{5} - 7 q^{6} - 2 q^{7} + 6 q^{8} - 22 q^{9} - 8 q^{10} - 2 q^{11} - 16 q^{12} - 11 q^{13} - 10 q^{14} - 20 q^{15} - 9 q^{16} - 20 q^{17} - 21 q^{18} + 8 q^{19}+ \cdots - 182 q^{99}+O(q^{100}) \) 72 * q - q^2 - 12 * q^3 + 11 * q^4 - 8 * q^5 - 7 * q^6 - 2 * q^7 + 6 * q^8 - 22 * q^9 - 8 * q^10 - 2 * q^11 - 16 * q^12 - 11 * q^13 - 10 * q^14 - 20 * q^15 - 9 * q^16 - 20 * q^17 - 21 * q^18 + 8 * q^19 - 45 * q^20 - 16 * q^21 - 16 * q^22 + 20 * q^23 + 36 * q^24 + 11 * q^25 - 12 * q^26 + 27 * q^27 - 54 * q^28 - 23 * q^29 - 6 * q^30 + 3 * q^31 + 18 * q^32 + 28 * q^33 + 8 * q^34 + 18 * q^35 + 75 * q^36 - 42 * q^37 - q^38 - 11 * q^39 - 25 * q^40 + 10 * q^41 + 61 * q^42 - 8 * q^43 + 38 * q^44 + 40 * q^45 - 18 * q^46 - 34 * q^47 - 50 * q^48 + q^49 + 42 * q^51 - 27 * q^52 + 4 * q^53 + 34 * q^54 + 18 * q^55 + 114 * q^56 - 21 * q^57 + q^58 - 16 * q^59 - 63 * q^60 - 3 * q^61 + 184 * q^62 - 10 * q^63 + 26 * q^64 + 84 * q^65 + 93 * q^66 + 10 * q^67 - 23 * q^68 + 42 * q^69 - 46 * q^70 - 48 * q^71 + 2 * q^72 - 40 * q^73 + 68 * q^74 + 28 * q^75 + 16 * q^76 - 26 * q^77 - 64 * q^78 + 19 * q^79 - 56 * q^80 + 14 * q^81 + 94 * q^82 + 7 * q^83 - 15 * q^84 + 25 * q^85 - 77 * q^86 - 120 * q^87 + 18 * q^88 - 56 * q^89 - 64 * q^90 + 20 * q^91 + 50 * q^92 - 53 * q^93 - 63 * q^94 - 77 * q^95 - 97 * q^96 - 33 * q^97 - 328 * q^98 - 182 * q^99

Introduction

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