LMFDB - Embedded newform 360.2.bm.a.11.17

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [360,2,Mod(11,360)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(360, base_ring=CyclotomicField(6))

chi = DirichletCharacter(H, H._module([3, 3, 1, 0]))

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

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

chi := DirichletCharacter("360.11");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 360 = 2^{3} \cdot 3^{2} \cdot 5 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	360.bm (of order $6$, degree $2$, 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:	$2.87461447277$
Analytic rank:	$0$
Dimension:	$48$
Relative dimension:	$24$ over $\Q(\zeta_{6})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label			11.17
Character	$\chi$	$=$	360.11
Dual form			360.2.bm.a.131.17

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.767212 - 1.18802i) q^{2} +(0.801968 - 1.53520i) q^{3} +(-0.822770 - 1.82292i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.20857 - 2.13058i) q^{6} +(4.07138 + 2.35061i) q^{7} +(-2.79690 - 0.421104i) q^{8} +(-1.71369 - 2.46237i) q^{9} +O(q^{10})$	\(q+(0.767212 - 1.18802i) q^{2} +(0.801968 - 1.53520i) q^{3} +(-0.822770 - 1.82292i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.20857 - 2.13058i) q^{6} +(4.07138 + 2.35061i) q^{7} +(-2.79690 - 0.421104i) q^{8} +(-1.71369 - 2.46237i) q^{9} +(-1.41246 - 0.0704168i) q^{10} +(-3.19675 - 1.84565i) q^{11} +(-3.45839 - 0.198807i) q^{12} +(2.94278 - 1.69902i) q^{13} +(5.91619 - 3.03345i) q^{14} +(-1.73051 + 0.0730766i) q^{15} +(-2.64610 + 2.99969i) q^{16} +3.19988i q^{17} +(-4.24010 + 0.146740i) q^{18} -0.184741 q^{19} +(-1.16731 + 1.62400i) q^{20} +(6.87379 - 4.36528i) q^{21} +(-4.64525 + 2.38180i) q^{22} +(1.68941 + 2.92615i) q^{23} +(-2.88951 + 3.95610i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(0.239278 - 4.79958i) q^{26} +(-5.15456 + 0.656128i) q^{27} +(0.935176 - 9.35583i) q^{28} +(-4.71642 + 8.16907i) q^{29} +(-1.24085 + 2.11194i) q^{30} +(1.31877 - 0.761389i) q^{31} +(1.53357 + 5.44501i) q^{32} +(-5.39713 + 3.42751i) q^{33} +(3.80151 + 2.45499i) q^{34} -4.70123i q^{35} +(-3.07873 + 5.14990i) q^{36} +2.21087i q^{37} +(-0.141736 + 0.219476i) q^{38} +(-0.248316 - 5.88032i) q^{39} +(1.03377 + 2.63274i) q^{40} +(7.97131 - 4.60224i) q^{41} +(0.0876269 - 11.5153i) q^{42} +(5.05231 - 8.75086i) q^{43} +(-0.734278 + 7.34598i) q^{44} +(-1.27563 + 2.71529i) q^{45} +(4.77246 + 0.237926i) q^{46} +(3.20071 - 5.54379i) q^{47} +(2.48305 + 6.46796i) q^{48} +(7.55077 + 13.0783i) q^{49} +(0.645247 + 1.25843i) q^{50} +(4.91246 + 2.56620i) q^{51} +(-5.51841 - 3.96657i) q^{52} +0.652400 q^{53} +(-3.17515 + 6.62710i) q^{54} +3.69129i q^{55} +(-10.3974 - 8.28892i) q^{56} +(-0.148157 + 0.283616i) q^{57} +(6.08651 + 11.8706i) q^{58} +(7.25989 - 4.19150i) q^{59} +(1.55702 + 3.09446i) q^{60} +(5.59632 + 3.23103i) q^{61} +(0.107229 - 2.15086i) q^{62} +(-1.18903 - 14.0535i) q^{63} +(7.64534 + 2.35557i) q^{64} +(-2.94278 - 1.69902i) q^{65} +(-0.0688025 + 9.04152i) q^{66} +(-0.725538 - 1.25667i) q^{67} +(5.83313 - 2.63276i) q^{68} +(5.84709 - 0.246913i) q^{69} +(-5.58514 - 3.60684i) q^{70} -11.5995 q^{71} +(3.75613 + 7.60865i) q^{72} -15.3080 q^{73} +(2.62655 + 1.69621i) q^{74} +(0.928540 + 1.46213i) q^{75} +(0.152000 + 0.336769i) q^{76} +(-8.67680 - 15.0287i) q^{77} +(-7.17644 - 4.21645i) q^{78} +(2.19259 + 1.26589i) q^{79} +(3.92086 + 0.791741i) q^{80} +(-3.12650 + 8.43949i) q^{81} +(0.648150 - 13.0010i) q^{82} +(-3.86408 - 2.23093i) q^{83} +(-13.6131 - 8.93876i) q^{84} +(2.77118 - 1.59994i) q^{85} +(-6.51998 - 12.7160i) q^{86} +(8.75877 + 13.7920i) q^{87} +(8.16380 + 6.50826i) q^{88} +4.32981i q^{89} +(2.24713 + 3.59867i) q^{90} +15.9749 q^{91} +(3.94415 - 5.48722i) q^{92} +(-0.111279 - 2.63518i) q^{93} +(-4.13050 - 8.05577i) q^{94} +(0.0923707 + 0.159991i) q^{95} +(9.58907 + 2.01239i) q^{96} +(-8.59159 + 14.8811i) q^{97} +(21.3303 + 1.06340i) q^{98} +(0.933599 + 11.0345i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8}+O(q^{10}) $ 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8	$ 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8} - 15 q^{12} + 15 q^{14} + 12 q^{16} - 11 q^{18} - 4 q^{21} + 21 q^{22} - 24 q^{24} - 24 q^{25} + 12 q^{27} - 14 q^{30} - 8 q^{33} + 33 q^{34} - 23 q^{36} - 33 q^{38} + 16 q^{39} - 6 q^{40} + 12 q^{41} - 53 q^{42} - 24 q^{44} - 6 q^{46} + 12 q^{47} + 45 q^{48} + 24 q^{49} - 20 q^{51} - 36 q^{52} - 36 q^{54} + 21 q^{56} + 4 q^{57} - 51 q^{58} - 36 q^{59} + 15 q^{60} + 12 q^{61} + 42 q^{62} + 56 q^{63} - 12 q^{64} + 24 q^{66} + 57 q^{68} - 40 q^{69} - 15 q^{70} + 46 q^{72} + 30 q^{74} + 57 q^{76} + 78 q^{78} - 8 q^{81} - 18 q^{82} - 60 q^{83} - 31 q^{84} + 27 q^{86} + 36 q^{87} + 57 q^{88} + 4 q^{90} - 51 q^{92} + 57 q^{94} - 119 q^{96} + 42 q^{98} - 16 q^{99}+O(q^{100}) $ 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8 - 15 * q^12 + 15 * q^14 + 12 * q^16 - 11 * q^18 - 4 * q^21 + 21 * q^22 - 24 * q^24 - 24 * q^25 + 12 * q^27 - 14 * q^30 - 8 * q^33 + 33 * q^34 - 23 * q^36 - 33 * q^38 + 16 * q^39 - 6 * q^40 + 12 * q^41 - 53 * q^42 - 24 * q^44 - 6 * q^46 + 12 * q^47 + 45 * q^48 + 24 * q^49 - 20 * q^51 - 36 * q^52 - 36 * q^54 + 21 * q^56 + 4 * q^57 - 51 * q^58 - 36 * q^59 + 15 * q^60 + 12 * q^61 + 42 * q^62 + 56 * q^63 - 12 * q^64 + 24 * q^66 + 57 * q^68 - 40 * q^69 - 15 * q^70 + 46 * q^72 + 30 * q^74 + 57 * q^76 + 78 * q^78 - 8 * q^81 - 18 * q^82 - 60 * q^83 - 31 * q^84 + 27 * q^86 + 36 * q^87 + 57 * q^88 + 4 * q^90 - 51 * q^92 + 57 * q^94 - 119 * q^96 + 42 * q^98 - 16 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/360\mathbb{Z}\right)^\times$.

$n$	$181$	$217$	$271$	$281$
$\chi(n)$	$-1$	$1$	$-1$	$e\left(\frac{1}{6}\right)$

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 $

$2$	0.767212	−	1.18802i	0.542501	−	0.840055i
$2$	0.767212	−	1.18802i	0.542501	−	0.840055i
$3$	0.801968	−	1.53520i	0.463017	−	0.886350i
$3$	0.801968	−	1.53520i	0.463017	−	0.886350i
$4$	−0.822770	−	1.82292i	−0.411385	−	0.911462i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$5$	−0.500000	−	0.866025i	−0.223607	−	0.387298i
$6$	−1.20857	−	2.13058i	−0.493396	−	0.869805i
$7$	4.07138	+	2.35061i	1.53884	+	0.888449i	0.998907	+	0.0467391i	$0.0148830\pi$
$7$	4.07138	+	2.35061i	1.53884	+	0.888449i	0.539931	+	0.841709i	$0.318450\pi$
$8$	−2.79690	−	0.421104i	−0.988855	−	0.148883i
$9$	−1.71369	−	2.46237i	−0.571231	−	0.820789i
$10$	−1.41246	−	0.0704168i	−0.446659	−	0.0222677i
$11$	−3.19675	−	1.84565i	−0.963857	−	0.556483i	−0.0664992	−	0.997786i	$-0.521183\pi$
$11$	−3.19675	−	1.84565i	−0.963857	−	0.556483i	−0.897358	+	0.441303i	$0.854516\pi$
$12$	−3.45839	−	0.198807i	−0.998352	−	0.0573907i
$13$	2.94278	−	1.69902i	0.816181	−	0.471222i	−0.0329169	−	0.999458i	$-0.510480\pi$
$13$	2.94278	−	1.69902i	0.816181	−	0.471222i	0.849098	+	0.528236i	$0.177146\pi$
$14$	5.91619	−	3.03345i	1.58117	−	0.810724i
$15$	−1.73051	+	0.0730766i	−0.446815	+	0.0188683i
$16$	−2.64610	+	2.99969i	−0.661525	+	0.749924i
$17$			3.19988i			0.776084i	0.921642	+	0.388042i	$0.126849\pi$
$17$			3.19988i			0.776084i	−0.921642	+	0.388042i	$0.873151\pi$
$18$	−4.24010	+	0.146740i	−0.999402	+	0.0345869i
$19$	−0.184741			−0.0423826			−0.0211913	−	0.999775i	$-0.506746\pi$
$19$	−0.184741			−0.0423826			−0.0211913	+	0.999775i	$0.506746\pi$
$20$	−1.16731	+	1.62400i	−0.261019	+	0.363138i
$21$	6.87379	−	4.36528i	1.49998	−	0.952582i
$22$	−4.64525	+	2.38180i	−0.990370	+	0.507800i
$23$	1.68941	+	2.92615i	0.352267	+	0.610145i	0.986646	−	0.162877i	$-0.0520775\pi$
$23$	1.68941	+	2.92615i	0.352267	+	0.610145i	−0.634379	+	0.773022i	$0.718744\pi$
$24$	−2.88951	+	3.95610i	−0.589818	+	0.807536i
$25$	−0.500000	+	0.866025i	−0.100000	+	0.173205i
$26$	0.239278	−	4.79958i	0.0469264	−	0.941275i
$27$	−5.15456	+	0.656128i	−0.991996	+	0.126272i
$28$	0.935176	−	9.35583i	0.176732	−	1.76809i
$29$	−4.71642	+	8.16907i	−0.875817	+	1.51696i	−0.0199263	+	0.999801i	$0.506343\pi$
$29$	−4.71642	+	8.16907i	−0.875817	+	1.51696i	−0.855890	+	0.517157i	$0.826990\pi$
$30$	−1.24085	+	2.11194i	−0.226547	+	0.385586i
$31$	1.31877	−	0.761389i	0.236857	−	0.136750i	−0.376874	−	0.926264i	$-0.623001\pi$
$31$	1.31877	−	0.761389i	0.236857	−	0.136750i	0.613731	+	0.789515i	$0.289668\pi$
$32$	1.53357	+	5.44501i	0.271099	+	0.962551i
$33$	−5.39713	+	3.42751i	−0.939521	+	0.596654i
$34$	3.80151	+	2.45499i	0.651954	+	0.421027i
$35$		−	4.70123i		−	0.794653i
$36$	−3.07873	+	5.14990i	−0.513122	+	0.858316i
$37$			2.21087i			0.363465i	0.983348	+	0.181732i	$0.0581704\pi$
$37$			2.21087i			0.363465i	−0.983348	+	0.181732i	$0.941830\pi$
$38$	−0.141736	+	0.219476i	−0.0229926	+	0.0356037i
$39$	−0.248316	−	5.88032i	−0.0397625	−	0.941605i
$40$	1.03377	+	2.63274i	0.163453	+	0.416273i
$41$	7.97131	−	4.60224i	1.24491	−	0.718749i	0.274820	−	0.961496i	$-0.411382\pi$
$41$	7.97131	−	4.60224i	1.24491	−	0.718749i	0.970090	+	0.242746i	$0.0780483\pi$
$42$	0.0876269	−	11.5153i	0.0135211	−	1.77685i
$43$	5.05231	−	8.75086i	0.770470	−	1.33449i	−0.166836	−	0.985985i	$-0.553355\pi$
$43$	5.05231	−	8.75086i	0.770470	−	1.33449i	0.937306	−	0.348509i	$-0.113312\pi$
$44$	−0.734278	+	7.34598i	−0.110697	+	1.10745i
$45$	−1.27563	+	2.71529i	−0.190159	+	0.404771i
$46$	4.77246	+	0.237926i	0.703661	+	0.0350803i
$47$	3.20071	−	5.54379i	0.466872	−	0.808645i	−0.532412	−	0.846485i	$-0.678714\pi$
$47$	3.20071	−	5.54379i	0.466872	−	0.808645i	0.999284	+	0.0378398i	$0.0120477\pi$
$48$	2.48305	+	6.46796i	0.358398	+	0.933569i
$49$	7.55077	+	13.0783i	1.07868	+	1.86833i
$50$	0.645247	+	1.25843i	0.0912517	+	0.177969i
$51$	4.91246	+	2.56620i	0.687882	+	0.359340i
$52$	−5.51841	−	3.96657i	−0.765266	−	0.550064i
$53$	0.652400			0.0896140			0.0448070	−	0.998996i	$-0.485733\pi$
$53$	0.652400			0.0896140			0.0448070	+	0.998996i	$0.485733\pi$
$54$	−3.17515	+	6.62710i	−0.432083	+	0.901834i
$55$			3.69129i			0.497734i
$56$	−10.3974	−	8.28892i	−1.38941	−	1.10765i
$57$	−0.148157	+	0.283616i	−0.0196238	+	0.0375658i
$58$	6.08651	+	11.8706i	0.799198	+	1.55869i
$59$	7.25989	−	4.19150i	0.945157	−	0.545687i	0.0535842	−	0.998563i	$-0.482935\pi$
$59$	7.25989	−	4.19150i	0.945157	−	0.545687i	0.891573	+	0.452876i	$0.149602\pi$
$60$	1.55702	+	3.09446i	0.201011	+	0.399493i
$61$	5.59632	+	3.23103i	0.716535	+	0.413692i	0.813476	−	0.581599i	$-0.197573\pi$
$61$	5.59632	+	3.23103i	0.716535	+	0.413692i	−0.0969412	+	0.995290i	$0.530906\pi$
$62$	0.107229	−	2.15086i	0.0136181	−	0.273160i
$63$	−1.18903	−	14.0535i	−0.149804	−	1.77057i
$64$	7.64534	+	2.35557i	0.955668	+	0.294447i
$65$	−2.94278	−	1.69902i	−0.365007	−	0.210737i
$66$	−0.0688025	+	9.04152i	−0.00846901	+	1.11293i
$67$	−0.725538	−	1.25667i	−0.0886386	−	0.153527i	0.818297	−	0.574795i	$-0.194918\pi$
$67$	−0.725538	−	1.25667i	−0.0886386	−	0.153527i	−0.906936	+	0.421269i	$0.861585\pi$
$68$	5.83313	−	2.63276i	0.707371	−	0.319270i
$69$	5.84709	−	0.246913i	0.703907	−	0.0297249i
$70$	−5.58514	−	3.60684i	−0.667552	−	0.431100i
$71$	−11.5995			−1.37661			−0.688306	−	0.725421i	$-0.741645\pi$
$71$	−11.5995			−1.37661			−0.688306	+	0.725421i	$0.741645\pi$
$72$	3.75613	+	7.60865i	0.442664	+	0.896688i
$73$	−15.3080			−1.79166			−0.895832	−	0.444393i	$-0.853419\pi$
$73$	−15.3080			−1.79166			−0.895832	+	0.444393i	$0.853419\pi$
$74$	2.62655	+	1.69621i	0.305330	+	0.197180i
$75$	0.928540	+	1.46213i	0.107219	+	0.168832i
$76$	0.152000	+	0.336769i	0.0174356	+	0.0386301i
$77$	−8.67680	−	15.0287i	−0.988813	−	1.71268i
$78$	−7.17644	−	4.21645i	−0.812571	−	0.477419i
$79$	2.19259	+	1.26589i	0.246686	+	0.142424i	0.618246	−	0.785985i	$-0.287844\pi$
$79$	2.19259	+	1.26589i	0.246686	+	0.142424i	−0.371560	+	0.928409i	$0.621177\pi$
$80$	3.92086	+	0.791741i	0.438366	+	0.0885193i
$81$	−3.12650	+	8.43949i	−0.347389	+	0.937721i
$82$	0.648150	−	13.0010i	0.0715762	−	1.43572i
$83$	−3.86408	−	2.23093i	−0.424138	−	0.244876i	0.272708	−	0.962097i	$-0.412081\pi$
$83$	−3.86408	−	2.23093i	−0.424138	−	0.244876i	−0.696846	+	0.717221i	$0.745414\pi$
$84$	−13.6131	−	8.93876i	−1.48531	−	0.975299i
$85$	2.77118	−	1.59994i	0.300576	−	0.173538i
$86$	−6.51998	−	12.7160i	−0.703067	−	1.37120i
$87$	8.75877	+	13.7920i	0.939038	+	1.47866i
$88$	8.16380	+	6.50826i	0.870264	+	0.693783i
$89$			4.32981i			0.458959i	0.973313	+	0.229480i	$0.0737024\pi$
$89$			4.32981i			0.458959i	−0.973313	+	0.229480i	$0.926298\pi$
$90$	2.24713	+	3.59867i	0.236868	+	0.379333i
$91$	15.9749			1.67463
$92$	3.94415	−	5.48722i	0.411206	−	0.572083i
$93$	−0.111279	−	2.63518i	−0.0115391	−	0.273256i
$94$	−4.13050	−	8.05577i	−0.426028	−	0.830889i
$95$	0.0923707	+	0.159991i	0.00947703	+	0.0164147i
$96$	9.58907	+	2.01239i	0.978681	+	0.205388i
$97$	−8.59159	+	14.8811i	−0.872344	+	1.51094i	−0.0127789	+	0.999918i	$0.504068\pi$
$97$	−8.59159	+	14.8811i	−0.872344	+	1.51094i	−0.859565	+	0.511026i	$0.829266\pi$
$98$	21.3303	+	1.06340i	2.15469	+	0.107420i
$99$	0.933599	+	11.0345i	0.0938302	+	1.10900i
$100$	1.99008	+	0.198922i	0.199008	+	0.0198922i
$101$	1.01593	−	1.75965i	0.101089	−	0.175091i	−0.811045	−	0.584984i	$-0.801101\pi$
$101$	1.01593	−	1.75965i	0.101089	−	0.175091i	0.912134	+	0.409893i	$0.134434\pi$
$102$	6.81759	−	3.86727i	0.675042	−	0.382917i
$103$	1.17647	−	0.679237i	0.115921	−	0.0669272i	−0.440918	−	0.897547i	$-0.645347\pi$
$103$	1.17647	−	0.679237i	0.115921	−	0.0669272i	0.556840	+	0.830620i	$0.312014\pi$
$104$	−8.94614	+	3.51277i	−0.877241	+	0.344455i
$105$	−7.21734	−	3.77023i	−0.704340	−	0.367937i
$106$	0.500529	−	0.775062i	0.0486157	−	0.0752807i
$107$			10.2120i			0.987227i	0.869681	+	0.493614i	$0.164324\pi$
$107$			10.2120i			0.987227i	−0.869681	+	0.493614i	$0.835676\pi$
$108$	5.43709	+	8.85653i	0.523184	+	0.852220i
$109$			11.9528i			1.14487i	0.819950	+	0.572435i	$0.194001\pi$
$109$			11.9528i			1.14487i	−0.819950	+	0.572435i	$0.805999\pi$
$110$	4.38532	+	2.83201i	0.418124	+	0.270021i
$111$	3.39413	+	1.77305i	0.322157	+	0.168290i
$112$	−17.8244	+	5.99295i	−1.68425	+	0.566280i
$113$	8.07593	−	4.66264i	0.759720	−	0.438625i	−0.0694752	−	0.997584i	$-0.522132\pi$
$113$	8.07593	−	4.66264i	0.759720	−	0.438625i	0.829195	+	0.558959i	$0.188799\pi$
$114$	0.223272	+	0.393606i	0.0209114	+	0.0368646i
$115$	1.68941	−	2.92615i	0.157539	−	0.272865i
$116$	18.7721	+	1.87639i	1.74295	+	0.174219i
$117$	−9.22663	−	4.33462i	−0.853002	−	0.400735i
$118$	0.590304	−	11.8406i	0.0543419	−	1.09002i
$119$	−7.52168	+	13.0279i	−0.689511	+	1.19427i
$120$	4.87084	+	0.524336i	0.444645	+	0.0478651i
$121$	1.31282	+	2.27387i	0.119347	+	0.206715i
$122$	8.13209	−	4.16963i	0.736245	−	0.377501i
$123$	−0.672632	−	15.9284i	−0.0606492	−	1.43622i
$124$	−2.47299	−	1.77756i	−0.222082	−	0.159629i
$125$	1.00000			0.0894427
$126$	−17.6080	−	9.36941i	−1.56865	−	0.834693i
$127$			3.88163i			0.344439i	0.985059	+	0.172220i	$0.0550939\pi$
$127$			3.88163i			0.344439i	−0.985059	+	0.172220i	$0.944906\pi$
$128$	8.66407	−	7.27557i	0.765802	−	0.643076i
$129$	−9.38255	−	14.7742i	−0.826087	−	1.30080i
$130$	−4.27620	+	2.19257i	−0.375047	+	0.192301i
$131$	−9.59245	+	5.53820i	−0.838096	+	0.483875i	−0.856617	−	0.515953i	$-0.827438\pi$
$131$	−9.59245	+	5.53820i	−0.838096	+	0.483875i	0.0185204	+	0.999828i	$0.494104\pi$
$132$	10.6887	+	7.01851i	0.930332	+	0.610882i
$133$	−0.752153	−	0.434256i	−0.0652199	−	0.0376547i
$134$	−2.04959	−	0.102180i	−0.177057	−	0.00882702i
$135$	3.14550	+	4.13592i	0.270722	+	0.355963i
$136$	1.34748	−	8.94975i	0.115546	−	0.767435i
$137$	3.98251	+	2.29930i	0.340249	+	0.196443i	0.660382	−	0.750930i	$-0.270394\pi$
$137$	3.98251	+	2.29930i	0.340249	+	0.196443i	−0.320133	+	0.947373i	$0.603728\pi$
$138$	4.19263	−	7.13588i	0.356900	−	0.607447i
$139$	−5.91862	−	10.2514i	−0.502011	−	0.869508i	−0.999997	−	0.00232356i	$-0.999260\pi$
$139$	−5.91862	−	10.2514i	−0.502011	−	0.869508i	0.497986	−	0.867185i	$-0.334073\pi$
$140$	−8.56998	+	3.86803i	−0.724295	+	0.326908i
$141$	−5.94398	−	9.35969i	−0.500573	−	0.788228i
$142$	−8.89931	+	13.7805i	−0.746813	+	1.15643i
$143$	−12.5431			−1.04891
$144$	11.9210	+	1.37511i	0.993413	+	0.114592i
$145$	9.43283			0.783354
$146$	−11.7445	+	18.1861i	−0.971980	+	1.50510i
$147$	26.1333	−	1.10357i	2.15544	−	0.0910208i
$148$	4.03024	−	1.81904i	0.331284	−	0.149524i
$149$	3.42256	+	5.92805i	0.280387	+	0.485645i	0.971480	−	0.237121i	$-0.0762038\pi$
$149$	3.42256	+	5.92805i	0.280387	+	0.485645i	−0.691093	+	0.722766i	$0.742870\pi$
$150$	2.44942	+	0.0186391i	0.199994	+	0.00152188i
$151$	−14.5652	−	8.40923i	−1.18530	−	0.684333i	−0.228065	−	0.973646i	$-0.573240\pi$
$151$	−14.5652	−	8.40923i	−1.18530	−	0.684333i	−0.957235	+	0.289313i	$0.906573\pi$
$152$	0.516704	+	0.0777953i	0.0419102	+	0.00631003i
$153$	7.87927	−	5.48361i	0.637002	−	0.443324i
$154$	−24.5113	−	1.22198i	−1.97517	−	0.0984703i
$155$	−1.31877	−	0.761389i	−0.105926	−	0.0611563i
$156$	−10.5151	+	5.29082i	−0.841879	+	0.423604i
$157$	−13.8050	+	7.97033i	−1.10176	+	0.636102i	−0.936683	−	0.350179i	$-0.886121\pi$
$157$	−13.8050	+	7.97033i	−1.10176	+	0.636102i	−0.165077	+	0.986281i	$0.552787\pi$
$158$	3.18609	−	1.63363i	0.253472	−	0.129964i
$159$	0.523204	−	1.00157i	0.0414928	−	0.0794293i
$160$	3.94873	−	4.05062i	0.312175	−	0.320229i
$161$			15.8846i			1.25189i
$162$	7.62757	+	10.1892i	0.599278	+	0.800541i
$163$	−5.41232			−0.423925			−0.211963	−	0.977278i	$-0.567986\pi$
$163$	−5.41232			−0.423925			−0.211963	+	0.977278i	$0.567986\pi$
$164$	−14.9481	−	10.7445i	−1.16725	−	0.839005i
$165$	5.66688	+	2.96030i	0.441166	+	0.230459i
$166$	−5.61495	+	2.87900i	−0.435805	+	0.223454i
$167$	−1.12519	−	1.94888i	−0.0870697	−	0.150809i	0.819202	−	0.573506i	$-0.194417\pi$
$167$	−1.12519	−	1.94888i	−0.0870697	−	0.150809i	−0.906271	+	0.422697i	$0.861084\pi$
$168$	−21.0636	+	9.31469i	−1.62509	+	0.718644i
$169$	−0.726690	+	1.25866i	−0.0558992	+	0.0968203i
$170$	0.225325	−	4.51970i	0.0172816	−	0.346645i
$171$	0.316590	+	0.454901i	0.0242103	+	0.0347872i
$172$	−20.1090	−	2.01003i	−1.53330	−	0.153263i
$173$	−2.58385	+	4.47535i	−0.196446	+	0.340255i	−0.947374	−	0.320130i	$-0.896273\pi$
$173$	−2.58385	+	4.47535i	−0.196446	+	0.340255i	0.750927	+	0.660385i	$0.229607\pi$
$174$	23.1050	+	0.175820i	1.75158	+	0.0133289i
$175$	−4.07138	+	2.35061i	−0.307768	+	0.177690i
$176$	13.9953	−	4.70552i	1.05494	−	0.354692i
$177$	−0.612601	−	14.5069i	−0.0460459	−	1.09040i
$178$	5.14389	+	3.32188i	0.385551	+	0.248986i
$179$		−	15.9037i		−	1.18870i	−0.804207	−	0.594349i	$-0.797410\pi$
$179$		−	15.9037i		−	1.18870i	0.804207	−	0.594349i	$-0.202590\pi$
$180$	5.99931	+	0.0913101i	0.447162	+	0.00680586i
$181$			15.1761i			1.12803i	0.825763	+	0.564017i	$0.190745\pi$
$181$			15.1761i			1.12803i	−0.825763	+	0.564017i	$0.809255\pi$
$182$	12.2562	−	18.9785i	0.908487	−	1.40678i
$183$	9.44836	−	6.00029i	0.698443	−	0.443554i
$184$	−3.49292	−	8.89559i	−0.257501	−	0.655791i
$185$	1.91467	−	1.10543i	0.140769	−	0.0812732i
$186$	−3.21602	−	1.88954i	−0.235810	−	0.138548i
$187$	5.90584	−	10.2292i	0.431878	−	0.748034i
$188$	−12.7394	−	1.27338i	−0.929113	−	0.0928709i
$189$	−22.5285	−	9.44503i	−1.63871	−	0.687025i
$190$	0.260940	+	0.0130089i	0.0189306	+	0.000943764i
$191$	3.74786	−	6.49149i	0.271186	−	0.469708i	−0.697980	−	0.716117i	$-0.745918\pi$
$191$	3.74786	−	6.49149i	0.271186	−	0.469708i	0.969166	+	0.246410i	$0.0792509\pi$
$192$	9.74761	−	9.84806i	0.703473	−	0.710722i
$193$	−9.69314	−	16.7890i	−0.697728	−	1.20850i	−0.969252	−	0.246069i	$-0.920861\pi$
$193$	−9.69314	−	16.7890i	−0.697728	−	1.20850i	0.271525	−	0.962431i	$-0.412472\pi$
$194$	11.0874	+	21.6239i	0.796029	+	1.55251i
$195$	−4.96835	+	3.15521i	−0.355791	+	0.225949i
$196$	17.6282	−	24.5249i	1.25916	−	1.75178i
$197$	0.617357			0.0439849			0.0219924	−	0.999758i	$-0.492999\pi$
$197$	0.617357			0.0439849			0.0219924	+	0.999758i	$0.492999\pi$
$198$	13.8254	+	7.35664i	0.982528	+	0.522813i
$199$			0.851922i			0.0603912i	0.999544	+	0.0301956i	$0.00961301\pi$
$199$			0.851922i			0.0603912i	−0.999544	+	0.0301956i	$0.990387\pi$
$200$	1.76314	−	2.21164i	0.124673	−	0.156386i
$201$	−2.51110	+	0.106040i	−0.177119	+	0.00747946i
$202$	−1.31105	−	2.55697i	−0.0922455	−	0.179908i
$203$	−38.4047	+	22.1729i	−2.69548	+	1.55624i
$204$	0.636159	−	11.0664i	0.0445400	−	0.774805i
$205$	−7.97131	−	4.60224i	−0.556741	−	0.321434i
$206$	0.0956593	−	1.91879i	0.00666490	−	0.133688i
$207$	4.31012	−	9.17449i	0.299574	−	0.637671i
$208$	−2.69036	+	13.3232i	−0.186543	+	0.923798i
$209$	0.590573	+	0.340967i	0.0408508	+	0.0235852i
$210$	−10.0163	+	5.68175i	−0.691193	+	0.392078i
$211$	−3.16321	−	5.47885i	−0.217765	−	0.377179i	0.736360	−	0.676590i	$-0.236543\pi$
$211$	−3.16321	−	5.47885i	−0.217765	−	0.377179i	−0.954124	+	0.299411i	$0.903210\pi$
$212$	−0.536775	−	1.18927i	−0.0368659	−	0.0816797i
$213$	−9.30246	+	17.8076i	−0.637394	+	1.22016i
$214$	12.1320	+	7.83474i	0.829325	+	0.535572i
$215$	−10.1046			−0.689129
$216$	14.6931	+	0.335479i	0.999739	+	0.0228264i
$217$	7.15893			0.485980
$218$	14.2001	+	9.17033i	0.961754	+	0.621093i
$219$	−12.2765	+	23.5009i	−0.829570	+	1.58804i
$220$	6.72894	−	3.03709i	0.453665	−	0.204760i
$221$	5.43664	+	9.41654i	0.365708	+	0.633425i
$222$	4.71043	−	2.67198i	0.316143	−	0.179332i
$223$	12.4436	+	7.18433i	0.833286	+	0.481098i	0.854977	−	0.518667i	$-0.173571\pi$
$223$	12.4436	+	7.18433i	0.833286	+	0.481098i	−0.0216902	+	0.999765i	$0.506905\pi$
$224$	−6.55538	+	25.7736i	−0.437999	+	1.72207i
$225$	2.98932	−	0.252919i	0.199288	−	0.0168613i
$226$	0.656656	−	13.1716i	0.0436801	−	0.876161i
$227$	−8.80058	−	5.08102i	−0.584115	−	0.337239i	0.178652	−	0.983912i	$-0.442826\pi$
$227$	−8.80058	−	5.08102i	−0.584115	−	0.337239i	−0.762767	+	0.646673i	$0.776160\pi$
$228$	0.638908	+	0.0367279i	0.0423127	+	0.00243237i
$229$	19.4053	−	11.2037i	1.28234	−	0.740359i	0.305063	−	0.952332i	$-0.401322\pi$
$229$	19.4053	−	11.2037i	1.28234	−	0.740359i	0.977275	+	0.211974i	$0.0679891\pi$
$230$	−2.18018	−	4.25203i	−0.143757	−	0.280371i
$231$	−30.0306	+	1.26814i	−1.97587	+	0.0834376i
$232$	16.6314	−	20.8620i	1.09190	−	1.36966i
$233$		−	3.15942i		−	0.206981i	−0.994630	−	0.103490i	$-0.966999\pi$
$233$		−	3.15942i		−	0.206981i	0.994630	−	0.103490i	$-0.0330011\pi$
$234$	−12.2284	+	7.63582i	−0.799394	+	0.499169i
$235$	−6.40142			−0.417583
$236$	−13.6140	−	9.78558i	−0.886196	−	0.636987i
$237$	3.70179	−	2.35087i	0.240457	−	0.152705i
$238$	9.70668	+	18.9311i	0.629190	+	1.22712i
$239$	−7.27012	−	12.5922i	−0.470265	−	0.814523i	0.529157	−	0.848524i	$-0.322508\pi$
$239$	−7.27012	−	12.5922i	−0.470265	−	0.814523i	−0.999422	+	0.0340013i	$0.989175\pi$
$240$	4.35989	−	5.38436i	0.281430	−	0.347559i
$241$	−3.13622	+	5.43210i	−0.202022	+	0.349912i	−0.949180	−	0.314734i	$-0.898085\pi$
$241$	−3.13622	+	5.43210i	−0.202022	+	0.349912i	0.747158	+	0.664647i	$0.231418\pi$
$242$	3.70861	+	0.184889i	0.238398	+	0.0118851i
$243$	10.4490	+	11.5680i	0.670302	+	0.742089i
$244$	1.28545	−	12.8601i	0.0822922	−	0.823280i
$245$	7.55077	−	13.0783i	0.482401	−	0.835543i
$246$	−19.4393	−	11.4214i	−1.23940	−	0.728201i
$247$	−0.543654	+	0.313879i	−0.0345919	+	0.0199716i
$248$	−4.00908	+	1.57420i	−0.254577	+	0.0999615i
$249$	−6.52380	+	4.14301i	−0.413429	+	0.262553i
$250$	0.767212	−	1.18802i	0.0485228	−	0.0751368i
$251$			18.7861i			1.18577i	0.805287	+	0.592885i	$0.202011\pi$
$251$			18.7861i			1.18577i	−0.805287	+	0.592885i	$0.797989\pi$
$252$	−24.6401	+	13.7303i	−1.55218	+	0.864927i
$253$		−	12.4722i		−	0.784123i
$254$	4.61145	+	2.97804i	0.289348	+	0.186859i
$255$	−0.233836	−	5.53742i	−0.0146434	−	0.346766i
$256$	−1.99633	−	15.8750i	−0.124771	−	0.992186i
$257$	22.7852	−	13.1551i	1.42130	−	0.820590i	0.424893	−	0.905244i	$-0.360312\pi$
$257$	22.7852	−	13.1551i	1.42130	−	0.820590i	0.996410	+	0.0846537i	$0.0269784\pi$
$258$	−24.7504	−	0.188341i	−1.54090	−	0.0117256i
$259$	−5.19690	+	9.00129i	−0.322920	+	0.559313i
$260$	−0.675942	+	6.76237i	−0.0419201	+	0.419384i
$261$	28.1978	−	2.38574i	1.74540	−	0.147674i
$262$	−0.779965	+	15.6450i	−0.0481864	+	0.966550i
$263$	−3.46251	+	5.99725i	−0.213508	+	0.369806i	−0.952810	−	0.303568i	$-0.901822\pi$
$263$	−3.46251	+	5.99725i	−0.213508	+	0.369806i	0.739302	+	0.673374i	$0.235156\pi$
$264$	16.5386	−	7.31367i	1.01788	−	0.450125i
$265$	−0.326200	−	0.564995i	−0.0200383	−	0.0347073i
$266$	−1.09296	+	0.560404i	−0.0670139	+	0.0343606i
$267$	6.64714	+	3.47237i	0.406798	+	0.212506i
$268$	−1.69386	+	2.35655i	−0.103469	+	0.143949i
$269$	−21.6782			−1.32174			−0.660871	−	0.750500i	$-0.729813\pi$
$269$	−21.6782			−1.32174			−0.660871	+	0.750500i	$0.729813\pi$
$270$	7.32681	−	0.563787i	0.445895	−	0.0343110i
$271$			2.04312i			0.124111i	0.998073	+	0.0620554i	$0.0197656\pi$
$271$			2.04312i			0.124111i	−0.998073	+	0.0620554i	$0.980234\pi$
$272$	−9.59865	−	8.46719i	−0.582004	−	0.513399i
$273$	12.8114	−	24.5247i	0.775380	−	1.48430i
$274$	5.78704	−	2.96724i	0.349608	−	0.179257i
$275$	3.19675	−	1.84565i	0.192771	−	0.111297i
$276$	−5.26092	−	10.4556i	−0.316670	−	0.629356i
$277$	−19.0765	−	11.0138i	−1.14619	−	0.661755i	−0.198237	−	0.980154i	$-0.563521\pi$
$277$	−19.0765	−	11.0138i	−1.14619	−	0.661755i	−0.947957	+	0.318399i	$0.896855\pi$
$278$	−16.7196	−	0.833540i	−1.00278	−	0.0499924i
$279$	−4.13478	−	1.94250i	−0.247543	−	0.116294i
$280$	−1.97971	+	13.1489i	−0.118310	+	0.785796i
$281$	−7.10884	−	4.10429i	−0.424078	−	0.244842i	0.272743	−	0.962087i	$-0.412069\pi$
$281$	−7.10884	−	4.10429i	−0.424078	−	0.244842i	−0.696821	+	0.717246i	$0.745403\pi$
$282$	−15.6798	−	0.119317i	−0.933716	−	0.00710523i
$283$	−10.4458	−	18.0927i	−0.620939	−	1.07550i	−0.989311	−	0.145820i	$-0.953418\pi$
$283$	−10.4458	−	18.0927i	−0.620939	−	1.07550i	0.368372	−	0.929679i	$-0.379915\pi$
$284$	9.54375	+	21.1451i	0.566318	+	1.25473i
$285$	0.319697	−	0.0135003i	0.0189372	−	0.000799687i
$286$	−9.62324	+	14.9015i	−0.569034	+	0.881141i
$287$	43.2724			2.55429
$288$	10.7796	−	13.1073i	0.635191	−	0.772355i
$289$	6.76078			0.397693
$290$	7.23699	−	11.2064i	0.424971	−	0.658061i
$291$	15.9553	+	25.1240i	0.935315	+	1.47279i
$292$	12.5950	+	27.9053i	0.737064	+	1.63303i
$293$	0.921400	+	1.59591i	0.0538288	+	0.0932342i	0.891684	−	0.452658i	$-0.149524\pi$
$293$	0.921400	+	1.59591i	0.0538288	+	0.0932342i	−0.837855	+	0.545892i	$0.816191\pi$
$294$	18.7388	−	31.8935i	1.09287	−	1.86007i
$295$	−7.25989	−	4.19150i	−0.422687	−	0.244039i
$296$	0.931006	−	6.18359i	0.0541136	−	0.359414i
$297$	17.6888	+	7.41602i	1.02641	+	0.430321i
$298$	9.66846	+	0.482011i	0.560079	+	0.0279222i
$299$	9.94316	+	5.74068i	0.575028	+	0.331992i
$300$	1.90137	−	2.89565i	0.109776	−	0.167181i
$301$	41.1398	−	23.7521i	2.37126	−	1.36905i
$302$	−21.1649	+	10.8521i	−1.21790	+	0.624466i
$303$	−1.88667	−	2.97084i	−0.108386	−	0.170670i
$304$	0.488844	−	0.554168i	0.0280371	−	0.0317837i
$305$		−	6.46207i		−	0.370017i
$306$	−0.469550	−	13.5678i	−0.0268424	−	0.775620i
$307$	−10.1957			−0.581899			−0.290949	−	0.956738i	$-0.593971\pi$
$307$	−10.1957			−0.581899			−0.290949	+	0.956738i	$0.593971\pi$
$308$	−20.2571	+	28.1823i	−1.15425	+	1.60583i
$309$	−0.0992725	−	2.35085i	−0.00564742	−	0.133735i
$310$	−1.91632	+	0.982568i	−0.108839	+	0.0558061i
$311$	10.2923	+	17.8267i	0.583621	+	1.01086i	0.995046	+	0.0994177i	$0.0316980\pi$
$311$	10.2923	+	17.8267i	0.583621	+	1.01086i	−0.411425	+	0.911444i	$0.634969\pi$
$312$	−1.78171	+	16.5513i	−0.100869	+	0.937031i
$313$	2.71867	−	4.70888i	0.153668	−	0.266161i	−0.778905	−	0.627142i	$-0.784225\pi$
$313$	2.71867	−	4.70888i	0.153668	−	0.266161i	0.932573	+	0.360981i	$0.117558\pi$
$314$	−1.12249	+	22.5155i	−0.0633458	+	1.27063i
$315$	−11.5761	+	8.05647i	−0.652242	+	0.453930i
$316$	0.503627	−	5.03847i	0.0283312	−	0.283436i
$317$	−9.98948	+	17.3023i	−0.561065	+	0.971793i	0.436339	+	0.899782i	$0.356275\pi$
$317$	−9.98948	+	17.3023i	−0.561065	+	0.971793i	−0.997404	+	0.0720107i	$0.977058\pi$
$318$	−0.788469	−	1.38999i	−0.0442151	−	0.0779467i
$319$	30.1544	−	17.4097i	1.68832	−	0.974755i
$320$	−1.78268	−	7.79885i	−0.0996551	−	0.435969i
$321$	15.6774	+	8.18966i	0.875028	+	0.457102i
$322$	18.8712	+	12.1869i	1.05165	+	0.679149i
$323$		−	0.591150i		−	0.0328925i
$324$	17.9569	−	1.24438i	0.997607	−	0.0691325i
$325$			3.39803i			0.188489i
$326$	−4.15240	+	6.42992i	−0.229980	+	0.356121i
$327$	18.3500	+	9.58576i	1.01475	+	0.530094i
$328$	−24.2330	+	9.51527i	−1.33804	+	0.525393i
$329$	26.0626	−	15.0473i	1.43688	−	0.829583i
$330$	7.86459	−	4.46118i	0.432931	−	0.245580i
$331$	0.711679	−	1.23266i	0.0391174	−	0.0677534i	−0.845804	−	0.533494i	$-0.820879\pi$
$331$	0.711679	−	1.23266i	0.0391174	−	0.0677534i	0.884921	+	0.465741i	$0.154212\pi$
$332$	−0.887560	+	8.87946i	−0.0487112	+	0.487324i
$333$	5.44397	−	3.78875i	0.298328	−	0.207622i
$334$	−3.17857	−	0.158464i	−0.173923	−	0.00867078i
$335$	−0.725538	+	1.25667i	−0.0396404	+	0.0686592i
$336$	−5.09421	+	32.1702i	−0.277912	+	1.75503i
$337$	−10.3266	−	17.8863i	−0.562528	−	0.974327i	−0.997275	−	0.0737746i	$-0.976495\pi$
$337$	−10.3266	−	17.8863i	−0.562528	−	0.974327i	0.434747	−	0.900553i	$-0.356838\pi$
$338$	0.937789	+	1.82898i	0.0510090	+	0.0994836i
$339$	−0.681460	−	16.1375i	−0.0370118	−	0.876468i
$340$	−5.19661	−	3.73526i	−0.281826	−	0.202573i
$341$	−5.62102			−0.304395
$342$	0.783322	−	0.0271089i	0.0423572	−	0.00146588i
$343$			38.0872i			2.05652i
$344$	−17.8158	+	22.3478i	−0.960566	+	1.20491i
$345$	−3.13738	−	4.94027i	−0.168911	−	0.265975i
$346$	3.33444	+	6.50320i	0.179261	+	0.349614i
$347$	−7.00513	+	4.04441i	−0.376055	+	0.217115i	−0.676100	−	0.736809i	$-0.736331\pi$
$347$	−7.00513	+	4.04441i	−0.376055	+	0.217115i	0.300046	+	0.953925i	$0.402998\pi$
$348$	17.9353	−	27.3142i	0.961432	−	1.46419i
$349$	−5.62169	−	3.24568i	−0.300922	−	0.173737i	0.341935	−	0.939724i	$-0.388918\pi$
$349$	−5.62169	−	3.24568i	−0.300922	−	0.173737i	−0.642857	+	0.765986i	$0.722251\pi$
$350$	−0.331045	+	6.64029i	−0.0176951	+	0.354939i
$351$	−14.0540	+	10.6885i	−0.750146	+	0.570511i
$352$	5.14712	−	20.2368i	0.274343	−	1.07862i
$353$	8.32842	+	4.80842i	0.443277	+	0.255926i	0.704987	−	0.709220i	$-0.250953\pi$
$353$	8.32842	+	4.80842i	0.443277	+	0.255926i	−0.261710	+	0.965147i	$0.584286\pi$
$354$	−17.7044	−	10.4021i	−0.940978	−	0.552863i
$355$	5.79977	+	10.0455i	0.307820	+	0.533159i
$356$	7.89291	−	3.56244i	0.418324	−	0.188809i
$357$	13.9684	+	21.9953i	0.739284	+	1.16411i
$358$	−18.8939	−	12.2015i	−0.998572	−	0.644870i
$359$	33.0939			1.74663			0.873314	−	0.487157i	$-0.161966\pi$
$359$	33.0939			1.74663			0.873314	+	0.487157i	$0.161966\pi$
$360$	4.71122	−	7.05722i	0.248303	−	0.371948i
$361$	−18.9659			−0.998204
$362$	18.0295	+	11.6433i	0.947610	+	0.611960i
$363$	4.54369	−	0.191873i	0.238482	−	0.0100707i
$364$	−13.1437	−	29.1211i	−0.688917	−	1.52636i
$365$	7.65399	+	13.2571i	0.400628	+	0.693908i
$366$	0.120447	−	15.8283i	0.00629589	−	0.827359i
$367$	−27.3961	−	15.8172i	−1.43007	−	0.825649i	−0.432942	−	0.901422i	$-0.642524\pi$
$367$	−27.3961	−	15.8172i	−1.43007	−	0.825649i	−0.997125	+	0.0757725i	$0.975858\pi$
$368$	−13.2479	−	2.67516i	−0.690596	−	0.139452i
$369$	−24.9928	−	11.7415i	−1.30107	−	0.611237i
$370$	0.155682	−	3.12276i	0.00809353	−	0.162345i
$371$	2.65617	+	1.53354i	0.137901	+	0.0796174i
$372$	−4.71218	+	2.37100i	−0.244315	+	0.122931i
$373$	−22.6518	+	13.0780i	−1.17287	+	0.677155i	−0.954353	−	0.298679i	$-0.903454\pi$
$373$	−22.6518	+	13.0780i	−1.17287	+	0.677155i	−0.218513	+	0.975834i	$0.570121\pi$
$374$	−7.62145	−	14.8642i	−0.394096	−	0.768611i
$375$	0.801968	−	1.53520i	0.0414135	−	0.0792775i
$376$	−11.2866	+	14.1576i	−0.582062	+	0.730124i
$377$			32.0531i			1.65082i
$378$	−28.5050	+	19.5179i	−1.46614	+	1.00389i
$379$	31.6890			1.62776			0.813878	−	0.581036i	$-0.197353\pi$
$379$	31.6890			1.62776			0.813878	+	0.581036i	$0.197353\pi$
$380$	0.215651	−	0.300020i	0.0110627	−	0.0153907i
$381$	5.95909	+	3.11295i	0.305294	+	0.159481i
$382$	−4.83659	−	9.43287i	−0.247462	−	0.482628i
$383$	−3.82550	−	6.62596i	−0.195474	−	0.338571i	0.751582	−	0.659640i	$-0.229291\pi$
$383$	−3.82550	−	6.62596i	−0.195474	−	0.338571i	−0.947056	+	0.321069i	$0.895958\pi$
$384$	−4.22118	−	19.1359i	−0.215411	−	0.976523i
$385$	−8.67680	+	15.0287i	−0.442211	+	0.765932i
$386$	−27.3823	−	1.36512i	−1.39372	−	0.0694828i
$387$	−30.2059	+	2.55565i	−1.53545	+	0.129911i
$388$	34.1960	+	3.41811i	1.73604	+	0.173528i
$389$	13.7167	−	23.7581i	0.695466	−	1.20458i	−0.274558	−	0.961571i	$-0.588531\pi$
$389$	13.7167	−	23.7581i	0.695466	−	1.20458i	0.970023	−	0.243011i	$-0.0781352\pi$
$390$	−0.0633364	+	8.32320i	−0.00320716	+	0.421462i
$391$	−9.36333	+	5.40592i	−0.473524	+	0.273389i
$392$	−15.6114	−	39.7585i	−0.788497	−	2.00811i
$393$	0.809426	+	19.1678i	0.0408301	+	0.966889i
$394$	0.473644	−	0.733431i	0.0238618	−	0.0369497i
$395$		−	2.53179i		−	0.127388i
$396$	19.3468	−	10.7807i	0.972214	−	0.541750i
$397$		−	0.681061i		−	0.0341815i	−0.999854	−	0.0170907i	$-0.994560\pi$
$397$		−	0.681061i		−	0.0341815i	0.999854	−	0.0170907i	$-0.00544042\pi$
$398$	1.01210	+	0.653605i	0.0507319	+	0.0327623i
$399$	−1.26987	+	0.806448i	−0.0635732	+	0.0403729i
$400$	−1.27476	−	3.79144i	−0.0637381	−	0.189572i
$401$	9.45372	−	5.45811i	0.472096	−	0.272565i	−0.245020	−	0.969518i	$-0.578795\pi$
$401$	9.45372	−	5.45811i	0.472096	−	0.272565i	0.717117	+	0.696953i	$0.245461\pi$
$402$	−1.80057	+	3.06459i	−0.0898043	+	0.152848i
$403$	2.58723	−	4.48121i	0.128879	−	0.223225i
$404$	−4.04358	−	0.404182i	−0.201176	−	0.0201088i
$405$	8.87206	−	1.51211i	0.440856	−	0.0751375i
$406$	−3.12269	+	62.6368i	−0.154977	+	3.10861i
$407$	4.08048	−	7.06760i	0.202262	−	0.350328i
$408$	−12.6590	−	9.24607i	−0.626716	−	0.457749i
$409$	14.9762	+	25.9395i	0.740525	+	1.28263i	0.952256	+	0.305299i	$0.0987565\pi$
$409$	14.9762	+	25.9395i	0.740525	+	1.28263i	−0.211731	+	0.977328i	$0.567910\pi$
$410$	−11.5832	+	5.93916i	−0.572055	+	0.293314i
$411$	6.72374	−	4.26999i	0.331658	−	0.210623i
$412$	−2.20616	−	1.58576i	−0.108690	−	0.0781249i
$413$	39.4104			1.93926
$414$	−7.59267	−	12.1593i	−0.373160	−	0.597596i
$415$			4.46186i			0.219024i
$416$	13.7641	+	13.4179i	0.674842	+	0.657868i
$417$	−20.4844	+	0.865025i	−1.00313	+	0.0423605i
$418$	0.858170	−	0.440016i	0.0419745	−	0.0215219i
$419$	−24.3390	+	14.0521i	−1.18904	+	0.686492i	−0.958088	−	0.286474i	$-0.907517\pi$
$419$	−24.3390	+	14.0521i	−1.18904	+	0.686492i	−0.230950	+	0.972966i	$0.574184\pi$
$420$	−0.934638	+	16.2587i	−0.0456057	+	0.793343i
$421$	3.81125	+	2.20043i	0.185749	+	0.107242i	0.589991	−	0.807410i	$-0.299131\pi$
$421$	3.81125	+	2.20043i	0.185749	+	0.107242i	−0.404242	+	0.914652i	$0.632465\pi$
$422$	−8.93582	−	0.445486i	−0.434989	−	0.0216859i
$423$	−19.1359	+	1.61904i	−0.930419	+	0.0787205i
$424$	−1.82470	−	0.274728i	−0.0886152	−	0.0133420i
$425$	−2.77118	−	1.59994i	−0.134422	−	0.0776084i
$426$	14.0188	+	24.7137i	0.679214	+	1.19738i
$427$	15.1898	+	26.3096i	0.735087	+	1.27321i
$428$	18.6156	−	8.40210i	0.899820	−	0.406131i
$429$	−10.0592	+	19.2562i	−0.485662	+	0.929700i
$430$	−7.75239	+	12.0045i	−0.373853	+	0.578907i
$431$	16.9022			0.814149			0.407074	−	0.913395i	$-0.366549\pi$
$431$	16.9022			0.814149			0.407074	+	0.913395i	$0.366549\pi$
$432$	11.6713	−	17.1983i	0.561535	−	0.827453i
$433$	2.10526			0.101172			0.0505862	−	0.998720i	$-0.483891\pi$
$433$	2.10526			0.101172			0.0505862	+	0.998720i	$0.483891\pi$
$434$	5.49242	−	8.50493i	0.263645	−	0.408250i
$435$	7.56483	−	14.4813i	0.362706	−	0.694326i
$436$	21.7890	−	9.83440i	1.04350	−	0.470982i
$437$	−0.312105	−	0.540581i	−0.0149300	−	0.0258595i
$438$	18.5007	+	32.6149i	0.883999	+	1.55840i
$439$	15.4910	+	8.94370i	0.739343	+	0.426860i	0.821830	−	0.569732i	$-0.192953\pi$
$439$	15.4910	+	8.94370i	0.739343	+	0.426860i	−0.0824875	+	0.996592i	$0.526286\pi$
$440$	1.55442	−	10.3242i	0.0741040	−	0.492186i
$441$	19.2639	−	41.0050i	0.917329	−	1.95262i
$442$	15.3581	+	0.765662i	0.730509	+	0.0364188i
$443$	29.8821	+	17.2525i	1.41974	+	0.819689i	0.996276	−	0.0862217i	$-0.0274793\pi$
$443$	29.8821	+	17.2525i	1.41974	+	0.819689i	0.423468	+	0.905911i	$0.360813\pi$
$444$	0.439537	−	7.64605i	0.0208595	−	0.362866i
$445$	3.74973	−	2.16491i	0.177754	−	0.102626i
$446$	18.0820	−	9.27133i	0.856208	−	0.439010i
$447$	11.8455	−	0.500218i	0.560275	−	0.0236595i
$448$	25.5901	+	27.5617i	1.20902	+	1.30217i
$449$		−	39.3197i		−	1.85561i	−0.373063	−	0.927806i	$-0.621692\pi$
$449$		−	39.3197i		−	1.85561i	0.373063	−	0.927806i	$-0.378308\pi$
$450$	1.99297	−	3.74541i	0.0939495	−	0.176560i
$451$	−33.9764			−1.59989
$452$	−15.1443	−	10.8855i	−0.712327	−	0.512012i
$453$	−24.5907	+	15.6166i	−1.15537	+	0.733732i
$454$	−12.7882	+	6.55702i	−0.600182	+	0.307736i
$455$	−7.98746	−	13.8347i	−0.374458	−	0.648580i
$456$	0.533812	−	0.730856i	0.0249980	−	0.0342255i
$457$	3.25936	−	5.64538i	0.152467	−	0.264080i	−0.779667	−	0.626194i	$-0.784612\pi$
$457$	3.25936	−	5.64538i	0.152467	−	0.264080i	0.932134	+	0.362114i	$0.117945\pi$
$458$	1.57785	−	31.6494i	0.0737281	−	1.47888i
$459$	−2.09953	−	16.4940i	−0.0979976	−	0.769872i
$460$	−6.72415	−	0.672122i	−0.313515	−	0.0313379i
$461$	2.23638	−	3.87352i	0.104158	−	0.180408i	−0.809236	−	0.587484i	$-0.800118\pi$
$461$	2.23638	−	3.87352i	0.104158	−	0.180408i	0.913394	+	0.407077i	$0.133452\pi$
$462$	−21.5332	+	36.6498i	−1.00182	+	1.70510i
$463$	30.0244	−	17.3346i	1.39535	−	0.805608i	0.401452	−	0.915880i	$-0.368506\pi$
$463$	30.0244	−	17.3346i	1.39535	−	0.805608i	0.993901	+	0.110273i	$0.0351724\pi$
$464$	−12.0246	−	35.7640i	−0.558229	−	1.66030i
$465$	−2.22649	+	1.41396i	−0.103251	+	0.0655709i
$466$	−3.75345	−	2.42395i	−0.173875	−	0.112287i
$467$		−	11.4074i		−	0.527874i	−0.964540	−	0.263937i	$-0.914979\pi$
$467$		−	11.4074i		−	0.527874i	0.964540	−	0.263937i	$-0.0850211\pi$
$468$	−0.310275	+	20.3858i	−0.0143425	+	0.942335i
$469$		−	6.82184i		−	0.315003i
$470$	−4.91125	+	7.60500i	−0.226539	+	0.350792i
$471$	1.16489	+	27.5854i	0.0536752	+	1.27107i
$472$	−22.0703	+	8.66606i	−1.01587	+	0.398888i
$473$	−32.3020	+	18.6496i	−1.48525	+	0.857507i
$474$	0.0471903	−	6.20141i	0.00216752	−	0.284840i
$475$	0.0923707	−	0.159991i	0.00423826	−	0.00734088i
$476$	29.9375	+	2.99245i	1.37218	+	0.137159i
$477$	−1.11801	−	1.60645i	−0.0511903	−	0.0735542i
$478$	−20.5375	−	1.02388i	−0.939363	−	0.0468310i
$479$	5.73970	−	9.94145i	0.262254	−	0.454237i	−0.704587	−	0.709618i	$-0.748868\pi$
$479$	5.73970	−	9.94145i	0.262254	−	0.454237i	0.966840	+	0.255381i	$0.0822010\pi$
$480$	−3.05176	−	9.31057i	−0.139293	−	0.424968i
$481$	3.75630	+	6.50610i	0.171273	+	0.296653i
$482$	4.04728	+	7.89346i	0.184348	+	0.359537i
$483$	24.3862	+	12.7390i	1.10961	+	0.579644i
$484$	3.06494	−	4.26404i	0.139315	−	0.193820i
$485$	17.1832			0.780248
$486$	21.7596	−	3.53843i	0.987035	−	0.160506i
$487$		−	35.6160i		−	1.61391i	−0.590610	−	0.806957i	$-0.701113\pi$
$487$		−	35.6160i		−	1.61391i	0.590610	−	0.806957i	$-0.298887\pi$
$488$	−14.2918	−	11.3935i	−0.646957	−	0.515761i
$489$	−4.34050	+	8.30900i	−0.196284	+	0.375746i
$490$	−9.74422	−	19.0043i	−0.440199	−	0.858527i
$491$	4.58796	−	2.64886i	0.207052	−	0.119541i	−0.392889	−	0.919586i	$-0.628524\pi$
$491$	4.58796	−	2.64886i	0.207052	−	0.119541i	0.599940	+	0.800045i	$0.295191\pi$
$492$	−28.4829	+	14.3316i	−1.28411	+	0.646118i
$493$	−26.1400	−	15.0920i	−1.17729	−	0.679708i
$494$	−0.0442046	+	0.886682i	−0.00198886	+	0.0398937i
$495$	9.08932	−	6.32575i	0.408534	−	0.284321i
$496$	−1.20565	+	5.97060i	−0.0541351	+	0.268088i
$497$	−47.2262	−	27.2660i	−2.11838	−	1.22305i
$498$	−0.0831652	+	10.9290i	−0.00372672	+	0.489738i
$499$	18.4386	+	31.9366i	0.825426	+	1.42968i	0.901593	+	0.432585i	$0.142399\pi$
$499$	18.4386	+	31.9366i	0.825426	+	1.42968i	−0.0761666	+	0.997095i	$0.524268\pi$
$500$	−0.822770	−	1.82292i	−0.0367954	−	0.0815236i
$501$	−3.89430	+	0.164450i	−0.173984	+	0.00734707i
$502$	22.3182	+	14.4130i	0.996112	+	0.643282i
$503$	−26.6354			−1.18761			−0.593807	−	0.804608i	$-0.702376\pi$
$503$	−26.6354			−1.18761			−0.593807	+	0.804608i	$0.702376\pi$
$504$	−2.59237	+	39.8069i	−0.115473	+	1.77314i
$505$	−2.03186			−0.0904168
$506$	−14.8172	−	9.56886i	−0.658707	−	0.425388i
$507$	1.34952	+	2.12503i	0.0599344	+	0.0943757i
$508$	7.07592	−	3.19369i	0.313943	−	0.141697i
$509$	−3.16205	−	5.47683i	−0.140155	−	0.242756i	0.787400	−	0.616443i	$-0.211427\pi$
$509$	−3.16205	−	5.47683i	−0.140155	−	0.242756i	−0.927555	+	0.373687i	$0.878093\pi$
$510$	−6.75795	−	3.97057i	−0.299247	−	0.175820i
$511$	−62.3246	−	35.9832i	−2.75708	−	1.59180i
$512$	−20.3913	−	9.80780i	−0.901179	−	0.433448i
$513$	0.952261	−	0.121214i	0.0420433	−	0.00535173i
$514$	1.85267	−	37.1620i	0.0817179	−	1.63914i
$515$	−1.17647	−	0.679237i	−0.0518416	−	0.0299307i
$516$	−19.2126	+	29.2595i	−0.845788	+	1.28808i
$517$	−20.4638	+	11.8148i	−0.899995	+	0.519613i
$518$	6.70657	+	13.0799i	0.294670	+	0.574698i
$519$	4.79841	+	7.55582i	0.210627	+	0.331664i
$520$	7.51522	+	5.99120i	0.329564	+	0.262732i
$521$			3.86881i			0.169496i	0.996402	+	0.0847478i	$0.0270085\pi$
$521$			3.86881i			0.169496i	−0.996402	+	0.0847478i	$0.972992\pi$
$522$	18.7994	−	35.3298i	0.822826	−	1.54634i
$523$	7.06854			0.309086			0.154543	−	0.987986i	$-0.450610\pi$
$523$	7.06854			0.309086			0.154543	+	0.987986i	$0.450610\pi$
$524$	17.9881	+	12.9296i	0.785814	+	0.564834i
$525$	0.343550	+	8.13551i	0.0149937	+	0.355063i
$526$	4.46835	+	8.71469i	0.194829	+	0.379979i
$527$	2.43635	+	4.21989i	0.106129	+	0.183821i
$528$	3.99985	−	25.2593i	0.174071	−	1.09927i
$529$	5.79176	−	10.0316i	0.251815	−	0.436157i
$530$	−0.921488	−	0.0459399i	−0.0400269	−	0.00199550i
$531$	−22.7622	−	10.6936i	−0.987798	−	0.464061i
$532$	−0.172766	+	1.72841i	−0.00749034	+	0.0749361i
$533$	15.6386	−	27.0868i	0.677381	−	1.17326i
$534$	9.22500	−	5.23287i	0.399205	−	0.226448i
$535$	8.84381	−	5.10598i	0.382351	−	0.220751i
$536$	1.50007	+	3.82031i	0.0647933	+	0.165012i
$537$	−24.4154	−	12.7543i	−1.05360	−	0.550387i
$538$	−16.6318	+	25.7541i	−0.717046	+	1.11034i
$539$		−	55.7442i		−	2.40107i
$540$	4.95143	−	9.13692i	0.213076	−	0.393190i
$541$			25.3091i			1.08812i	0.839045	+	0.544062i	$0.183114\pi$
$541$			25.3091i			1.08812i	−0.839045	+	0.544062i	$0.816886\pi$
$542$	2.42727	+	1.56751i	0.104260	+	0.0673303i
$543$	23.2985	+	12.1708i	0.999832	+	0.522298i
$544$	−17.4234	+	4.90723i	−0.747021	+	0.210396i
$545$	10.3514	−	5.97639i	0.443406	−	0.256001i
$546$	−19.3068	−	34.0358i	−0.826253	−	1.45660i
$547$	5.74111	−	9.94389i	0.245472	−	0.425170i	−0.716792	−	0.697287i	$-0.754390\pi$
$547$	5.74111	−	9.94389i	0.245472	−	0.425170i	0.962264	+	0.272117i	$0.0877237\pi$
$548$	0.914762	−	9.15161i	0.0390767	−	0.390937i
$549$	−1.63438	−	19.3172i	−0.0697537	−	0.824437i
$550$	0.259929	−	5.21380i	0.0110834	−	0.222317i
$551$	0.871318	−	1.50917i	0.0371194	−	0.0642926i
$552$	−16.4577	−	1.77164i	−0.700488	−	0.0754061i
$553$	5.95125	+	10.3079i	0.253073	+	0.438335i
$554$	−27.7203	+	14.2132i	−1.17772	+	0.603863i
$555$	−0.161563	−	3.82593i	−0.00685795	−	0.162402i
$556$	−13.8178	+	19.2237i	−0.586004	+	0.815267i
$557$	−11.9398			−0.505907			−0.252953	−	0.967478i	$-0.581402\pi$
$557$	−11.9398			−0.505907			−0.252953	+	0.967478i	$0.581402\pi$
$558$	−5.47997	+	3.42188i	−0.231986	+	0.144860i
$559$		−	34.3358i		−	1.45225i
$560$	14.1022	+	12.4399i	0.595929	+	0.525682i
$561$	−10.9676	−	17.2702i	−0.463054	−	0.729147i
$562$	−10.3300	+	5.29656i	−0.435743	+	0.223422i
$563$	20.7893	−	12.0027i	0.876166	−	0.505855i	0.00677354	−	0.999977i	$-0.497844\pi$
$563$	20.7893	−	12.0027i	0.876166	−	0.505855i	0.869392	+	0.494122i	$0.164511\pi$
$564$	−12.1715	+	18.5363i	−0.512511	+	0.780519i
$565$	−8.07593	−	4.66264i	−0.339757	−	0.196159i
$566$	−29.5086	−	1.47112i	−1.24034	−	0.0618358i
$567$	−32.5672	+	27.0112i	−1.36769	+	1.13436i
$568$	32.4428	+	4.88461i	1.36127	+	0.204954i
$569$	−2.19323	−	1.26626i	−0.0919449	−	0.0530844i	0.453323	−	0.891347i	$-0.350239\pi$
$569$	−2.19323	−	1.26626i	−0.0919449	−	0.0530844i	−0.545267	+	0.838262i	$0.683572\pi$
$570$	0.229237	−	0.390163i	0.00960167	−	0.0163421i
$571$	−11.7630	−	20.3742i	−0.492267	−	0.852632i	0.507693	−	0.861538i	$-0.330498\pi$
$571$	−11.7630	−	20.3742i	−0.492267	−	0.852632i	−0.999960	+	0.00890626i	$0.997165\pi$
$572$	10.3201	+	22.8652i	0.431506	+	0.956040i
$573$	−6.96008	−	10.9597i	−0.290762	−	0.457848i
$574$	33.1991	−	51.4083i	1.38570	−	2.14574i
$575$	−3.37883			−0.140907
$576$	−7.30149	−	22.8624i	−0.304229	−	0.952599i
$577$	17.3679			0.723037			0.361519	−	0.932365i	$-0.382258\pi$
$577$	17.3679			0.723037			0.361519	+	0.932365i	$0.382258\pi$
$578$	5.18696	−	8.03193i	0.215749	−	0.334084i
$579$	−33.5481	+	1.41668i	−1.39421	+	0.0588753i
$580$	−7.76106	−	17.1953i	−0.322260	−	0.713997i
$581$	−10.4881	−	18.1659i	−0.435120	−	0.753649i
$582$	42.0888	+	0.320280i	1.74464	+	0.0132760i
$583$	−2.08556	−	1.20410i	−0.0863751	−	0.0498687i
$584$	42.8150	+	6.44625i	1.77170	+	0.266748i
$585$	0.859427	+	10.1578i	0.0355330	+	0.419973i
$586$	2.60288	+	0.129764i	0.107524	+	0.00536050i
$587$	−3.86272	−	2.23014i	−0.159431	−	0.0920478i	0.418162	−	0.908373i	$-0.362675\pi$
$587$	−3.86272	−	2.23014i	−0.159431	−	0.0920478i	−0.577593	+	0.816325i	$0.696008\pi$
$588$	−23.5135	−	46.7311i	−0.969679	−	1.92716i
$589$	−0.243631	+	0.140660i	−0.0100386	+	0.00579580i
$590$	−10.5495	+	5.40911i	−0.434314	+	0.222689i
$591$	0.495101	−	0.947768i	0.0203657	−	0.0389860i
$592$	−6.63193	−	5.85018i	−0.272571	−	0.240441i
$593$			33.8336i			1.38938i	0.719310	+	0.694689i	$0.244458\pi$
$593$			33.8336i			1.38938i	−0.719310	+	0.694689i	$0.755542\pi$
$594$	22.3814	−	15.3250i	0.918322	−	0.628792i
$595$	15.0434			0.616717
$596$	7.99040	−	11.1165i	0.327300	−	0.455349i
$597$	1.30787	+	0.683214i	0.0535277	+	0.0279621i
$598$	14.4485	−	7.40832i	0.590845	−	0.302949i
$599$	17.5171	+	30.3406i	0.715731	+	1.23968i	0.962677	+	0.270653i	$0.0872397\pi$
$599$	17.5171	+	30.3406i	0.715731	+	1.23968i	−0.246946	+	0.969029i	$0.579427\pi$
$600$	−1.98133	−	4.48044i	−0.0808875	−	0.182913i
$601$	17.6687	−	30.6032i	0.720723	−	1.24833i	−0.239987	−	0.970776i	$-0.577143\pi$
$601$	17.6687	−	30.6032i	0.720723	−	1.24833i	0.960710	−	0.277553i	$-0.0895235\pi$
$602$	3.34509	−	67.0976i	0.136336	−	2.73470i
$603$	−1.85103	+	3.94009i	−0.0753798	+	0.160453i
$604$	−3.34555	+	33.4701i	−0.136129	+	1.36188i
$605$	1.31282	−	2.27387i	0.0533737	−	0.0924459i
$606$	−4.97689	−	0.0378722i	−0.202172	−	0.00153845i
$607$	−9.95148	+	5.74549i	−0.403918	+	0.233202i	−0.688173	−	0.725547i	$-0.741587\pi$
$607$	−9.95148	+	5.74549i	−0.403918	+	0.233202i	0.284255	+	0.958749i	$0.408254\pi$
$608$	−0.283314	−	1.00592i	−0.0114899	−	0.0407954i
$609$	3.24065	+	76.7410i	0.131318	+	3.10970i
$610$	−7.67705	−	4.95778i	−0.310835	−	0.200735i
$611$		−	21.7522i		−	0.880001i
$612$	−16.4790	−	9.85156i	−0.666126	−	0.398226i
$613$		−	29.1512i		−	1.17741i	−0.808349	−	0.588704i	$-0.799638\pi$
$613$		−	29.1512i		−	1.17741i	0.808349	−	0.588704i	$-0.200362\pi$
$614$	−7.82226	+	12.1127i	−0.315681	+	0.488827i
$615$	−13.4581	+	8.54673i	−0.542683	+	0.344638i
$616$	17.9396	+	45.6876i	0.722805	+	1.84080i
$617$	13.1438	−	7.58860i	0.529151	−	0.305506i	−0.211520	−	0.977374i	$-0.567841\pi$
$617$	13.1438	−	7.58860i	0.529151	−	0.305506i	0.740671	+	0.671868i	$0.234508\pi$
$618$	−2.86901	−	1.68566i	−0.115409	−	0.0678073i
$619$	−14.6309	+	25.3414i	−0.588064	+	1.01856i	0.406421	+	0.913686i	$0.366777\pi$
$619$	−14.6309	+	25.3414i	−0.588064	+	1.01856i	−0.994486	+	0.104872i	$0.966557\pi$
$620$	−0.302914	+	3.03046i	−0.0121653	+	0.121706i
$621$	−10.6281	−	13.9746i	−0.426492	−	0.560780i
$622$	29.0748	+	1.44950i	1.16579	+	0.0581195i
$623$	−10.1777	+	17.6283i	−0.407762	+	0.706264i
$624$	18.2962	+	14.8150i	0.732436	+	0.593076i
$625$	−0.500000	−	0.866025i	−0.0200000	−	0.0346410i
$626$	−3.50843	−	6.84254i	−0.140225	−	0.273483i
$627$	0.997074	−	0.633204i	0.0398193	−	0.0252877i
$628$	25.8877	+	18.6077i	1.03303	+	0.742529i
$629$	−7.07451			−0.282079
$630$	0.689858	+	19.9337i	0.0274846	+	0.794177i
$631$			17.6089i			0.700998i	0.936563	+	0.350499i	$0.113988\pi$
$631$			17.6089i			0.700998i	−0.936563	+	0.350499i	$0.886012\pi$
$632$	−5.59940	−	4.46389i	−0.222732	−	0.177564i
$633$	−10.9479	+	0.462313i	−0.435141	+	0.0183753i
$634$	12.8914	+	25.1422i	0.511981	+	0.998524i
$635$	3.36159	−	1.94082i	0.133401	−	0.0770190i
$636$	−2.25625	−	0.129702i	−0.0894663	−	0.00514301i
$637$	44.4405	+	25.6578i	1.76080	+	1.01660i
$638$	2.45187	−	49.1809i	0.0970703	−	1.94709i
$639$	19.8781	+	28.5623i	0.786364	+	1.12991i
$640$	−10.6329	−	3.86551i	−0.420301	−	0.152798i
$641$	5.78399	+	3.33939i	0.228454	+	0.131898i	0.609859	−	0.792510i	$-0.291226\pi$
$641$	5.78399	+	3.33939i	0.228454	+	0.131898i	−0.381405	+	0.924408i	$0.624560\pi$
$642$	21.7574	−	12.3418i	0.858695	−	0.487094i
$643$	−17.7601	−	30.7613i	−0.700389	−	1.21311i	−0.968330	−	0.249674i	$-0.919677\pi$
$643$	−17.7601	−	30.7613i	−0.700389	−	1.21311i	0.267941	−	0.963435i	$-0.413657\pi$
$644$	28.9565	−	13.0694i	1.14105	−	0.515007i
$645$	−8.10358	+	15.5126i	−0.319078	+	0.610810i
$646$	−0.702296	−	0.453538i	−0.0276315	−	0.0178442i
$647$	−21.1567			−0.831755			−0.415877	−	0.909421i	$-0.636525\pi$
$647$	−21.1567			−0.831755			−0.415877	+	0.909421i	$0.636525\pi$
$648$	12.2984	−	22.2879i	0.483128	−	0.875550i
$649$	−30.9441			−1.21466
$650$	4.03692	+	2.60701i	0.158341	+	0.102255i
$651$	5.74123	−	10.9904i	0.225017	−	0.430748i
$652$	4.45309	+	9.86624i	0.174397	+	0.386392i
$653$	16.9536	+	29.3645i	0.663445	+	1.14912i	0.979705	+	0.200447i	$0.0642395\pi$
$653$	16.9536	+	29.3645i	0.663445	+	1.14912i	−0.316260	+	0.948673i	$0.602427\pi$
$654$	25.4664	−	14.4458i	0.995813	−	0.564874i
$655$	9.59245	+	5.53820i	0.374808	+	0.216396i
$656$	−7.28757	+	36.0895i	−0.284532	+	1.40906i
$657$	26.2332	+	37.6939i	1.02345	+	1.47058i
$658$	2.11916	−	42.5073i	0.0826135	−	1.65711i
$659$	7.53060	+	4.34779i	0.293350	+	0.169366i	0.639452	−	0.768831i	$-0.279161\pi$
$659$	7.53060	+	4.34779i	0.293350	+	0.169366i	−0.346101	+	0.938197i	$0.612495\pi$
$660$	0.733855	−	12.7659i	0.0285653	−	0.496913i
$661$	−27.5930	+	15.9308i	−1.07324	+	0.619638i	−0.929066	−	0.369914i	$-0.879387\pi$
$661$	−27.5930	+	15.9308i	−1.07324	+	0.619638i	−0.144178	+	0.989552i	$0.546054\pi$
$662$	−0.918418	−	1.79120i	−0.0356953	−	0.0696171i
$663$	18.8163	−	0.794582i	0.730765	−	0.0308590i
$664$	9.86801	+	7.86687i	0.382953	+	0.305294i
$665$			0.868511i			0.0336794i
$666$	−0.324423	−	9.37431i	−0.0125711	−	0.363247i
$667$	−31.8719			−1.23409
$668$	−2.62689	+	3.65461i	−0.101638	+	0.141401i
$669$	21.0088	−	13.3419i	0.812247	−	0.515827i
$670$	0.936303	+	1.82608i	0.0361725	+	0.0705478i
$671$	−11.9267	−	20.6576i	−0.460425	−	0.797479i
$672$	34.3104	+	30.7334i	1.32355	+	1.18557i
$673$	−4.39045	+	7.60448i	−0.169239	+	0.293131i	−0.938153	−	0.346222i	$-0.887464\pi$
$673$	−4.39045	+	7.60448i	−0.169239	+	0.293131i	0.768913	+	0.639353i	$0.220798\pi$
$674$	−29.1719	−	1.45434i	−1.12366	−	0.0560190i
$675$	2.00906	−	4.79204i	0.0773286	−	0.184446i
$676$	2.89235	+	0.289109i	0.111244	+	0.0111196i
$677$	8.38094	−	14.5162i	0.322106	−	0.557903i	−0.658817	−	0.752304i	$-0.728943\pi$
$677$	8.38094	−	14.5162i	0.322106	−	0.557903i	0.980922	+	0.194400i	$0.0622760\pi$
$678$	−19.6944	−	11.5713i	−0.756360	−	0.444393i
$679$	−69.9593	+	40.3910i	−2.68479	+	1.55007i
$680$	−8.42445	+	3.30792i	−0.323063	+	0.126853i
$681$	−14.8582	+	9.43586i	−0.569366	+	0.361583i
$682$	−4.31252	+	6.67787i	−0.165135	+	0.255709i
$683$		−	29.5084i		−	1.12911i	−0.825397	−	0.564553i	$-0.809048\pi$
$683$		−	29.5084i		−	1.12911i	0.825397	−	0.564553i	$-0.190952\pi$
$684$	0.568769	−	0.951399i	0.0217474	−	0.0363776i
$685$		−	4.59861i		−	0.175704i
$686$	45.2482	+	29.2210i	1.72759	+	1.11566i
$687$	−1.63745	−	38.7761i	−0.0624726	−	1.47940i
$688$	12.8810	+	38.3110i	0.491083	+	1.46059i
$689$	1.91987	−	1.10844i	0.0731412	−	0.0422281i
$690$	−8.27617	−	0.0629785i	−0.315068	−	0.00239755i
$691$	−2.98412	+	5.16864i	−0.113521	+	0.196624i	−0.917188	−	0.398456i	$-0.869546\pi$
$691$	−2.98412	+	5.16864i	−0.113521	+	0.196624i	0.803667	+	0.595080i	$0.202880\pi$
$692$	10.2841	+	1.02797i	0.390944	+	0.0390774i
$693$	−22.1367	+	47.1200i	−0.840904	+	1.78994i
$694$	−0.569589	+	11.4251i	−0.0216213	+	0.433692i
$695$	−5.91862	+	10.2514i	−0.224506	+	0.388856i
$696$	−18.6896	−	42.2632i	−0.708426	−	1.60198i
$697$	14.7266	+	25.5072i	0.557810	+	0.966155i
$698$	−8.16895	+	4.18853i	−0.309199	+	0.158538i
$699$	−4.85035	−	2.53376i	−0.183457	−	0.0958354i
$700$	7.63480	+	5.48780i	0.288568	+	0.207419i
$701$	−13.9632			−0.527383			−0.263692	−	0.964607i	$-0.584940\pi$
$701$	−13.9632			−0.527383			−0.263692	+	0.964607i	$0.584940\pi$
$702$	1.91577	+	24.8967i	0.0723059	+	0.939667i
$703$		−	0.408439i		−	0.0154046i
$704$	−20.0927	−	21.6408i	−0.757273	−	0.815618i
$705$	−5.13374	+	9.82748i	−0.193348	+	0.370124i
$706$	12.1022	−	6.20523i	0.455470	−	0.233537i
$707$	8.27250	−	4.77613i	0.311119	−	0.179625i
$708$	−25.9409	+	13.0525i	−0.974917	+	0.490544i
$709$	−28.0403	−	16.1891i	−1.05308	−	0.607993i	−0.129566	−	0.991571i	$-0.541359\pi$
$709$	−28.0403	−	16.1891i	−1.05308	−	0.607993i	−0.923509	+	0.383578i	$0.874692\pi$
$710$	16.3839	+	0.816802i	0.614876	+	0.0306540i
$711$	−0.640338	−	7.56832i	−0.0240145	−	0.283834i
$712$	1.82330	−	12.1101i	0.0683311	−	0.453844i
$713$	4.45588	+	2.57260i	0.166874	+	0.0963448i
$714$	36.8475	+	0.280395i	1.37898	+	0.0104935i
$715$	6.27156	+	10.8627i	0.234543	+	0.406241i
$716$	−28.9912	+	13.0851i	−1.08345	+	0.489013i
$717$	−25.1620	+	1.06255i	−0.939692	+	0.0396817i
$718$	25.3900	−	39.3161i	0.947548	−	1.46726i
$719$	−42.2991			−1.57749			−0.788745	−	0.614721i	$-0.789269\pi$
$719$	−42.2991			−1.57749			−0.788745	+	0.614721i	$0.789269\pi$
$720$	−4.76960	−	11.0114i	−0.177752	−	0.410371i
$721$	6.38649			0.237845
$722$	−14.5509	+	22.5318i	−0.541527	+	0.838546i
$723$	5.82422	+	9.17111i	0.216605	+	0.341077i
$724$	27.6649	−	12.4865i	1.02816	−	0.464056i
$725$	−4.71642	−	8.16907i	−0.175163	−	0.303392i
$726$	3.25803	−	5.54519i	0.120917	−	0.205801i
$727$	33.2203	+	19.1797i	1.23207	+	0.711337i	0.967461	−	0.253019i	$-0.0814234\pi$
$727$	33.2203	+	19.1797i	1.23207	+	0.711337i	0.264610	+	0.964355i	$0.414757\pi$
$728$	−44.6803	−	6.72710i	−1.65596	−	0.249323i
$729$	26.1390	−	6.76410i	0.968111	−	0.250522i
$730$	21.6219	+	1.07794i	0.800262	+	0.0398963i
$731$	28.0017	+	16.1668i	1.03568	+	0.597950i
$732$	−18.7119	−	12.2868i	−0.691612	−	0.454132i
$733$	12.7323	−	7.35097i	0.470277	−	0.271514i	−0.246079	−	0.969250i	$-0.579142\pi$
$733$	12.7323	−	7.35097i	0.470277	−	0.271514i	0.716356	+	0.697735i	$0.245809\pi$
$734$	−39.8097	+	20.4120i	−1.46940	+	0.753419i
$735$	−14.0224	−	22.0804i	−0.517224	−	0.814446i
$736$	−13.3421	+	13.6863i	−0.491796	+	0.504485i
$737$			5.35635i			0.197304i
$738$	−33.1239	+	20.6837i	−1.21931	+	0.761377i
$739$	50.4167			1.85461			0.927304	−	0.374310i	$-0.122120\pi$
$739$	50.4167			1.85461			0.927304	+	0.374310i	$0.122120\pi$
$740$	−3.59045	−	2.58078i	−0.131988	−	0.0948712i
$741$	0.0458743	+	1.08634i	0.00168524	+	0.0399077i
$742$	3.85972	−	1.97902i	0.141695	−	0.0726522i
$743$	7.23945	+	12.5391i	0.265590	+	0.460015i	0.967718	−	0.252036i	$-0.0811000\pi$
$743$	7.23945	+	12.5391i	0.265590	+	0.460015i	−0.702128	+	0.712051i	$0.747767\pi$
$744$	−0.798447	+	7.41721i	−0.0292725	+	0.271928i
$745$	3.42256	−	5.92805i	0.125393	−	0.217187i
$746$	−1.84182	+	36.9444i	−0.0674340	+	1.35263i
$747$	1.12849	+	13.3379i	0.0412893	+	0.488009i
$748$	−23.5062	−	2.34960i	−0.859473	−	0.0859099i
$749$	−24.0044	+	41.5768i	−0.877101	+	1.51918i
$750$	−1.20857	−	2.13058i	−0.0441306	−	0.0777977i
$751$	39.0021	−	22.5179i	1.42321	−	0.821690i	0.426636	−	0.904423i	$-0.359698\pi$
$751$	39.0021	−	22.5179i	1.42321	−	0.821690i	0.996572	+	0.0827337i	$0.0263651\pi$
$752$	8.16029	+	24.2706i	0.297575	+	0.885057i
$753$	28.8405	+	15.0659i	1.05101	+	0.549031i
$754$	38.0796	+	24.5915i	1.38678	+	0.895570i
$755$			16.8185i			0.612086i
$756$	1.31820	+	48.8388i	0.0479426	+	1.77625i
$757$			5.56940i			0.202423i	0.994865	+	0.101212i	$0.0322719\pi$
$757$			5.56940i			0.202423i	−0.994865	+	0.101212i	$0.967728\pi$
$758$	24.3122	−	37.6471i	0.883059	−	1.36740i
$759$	−19.1474	−	10.0023i	−0.695008	−	0.363062i
$760$	−0.190979	−	0.486376i	−0.00692755	−	0.0176427i
$761$	−35.9383	+	20.7490i	−1.30276	+	0.752149i	−0.980877	−	0.194630i	$-0.937649\pi$
$761$	−35.9383	+	20.7490i	−1.30276	+	0.752149i	−0.321884	+	0.946779i	$0.604316\pi$
$762$	8.27012	−	4.69122i	0.299595	−	0.169945i
$763$	−28.0964	+	48.6644i	−1.01716	+	1.76177i
$764$	−14.9171	−	1.49106i	−0.539682	−	0.0539447i
$765$	−8.68858	−	4.08185i	−0.314136	−	0.147579i
$766$	−10.8067	−	0.538759i	−0.390463	−	0.0194661i
$767$	14.2429	−	24.6693i	0.514280	−	0.890758i
$768$	−25.9723	−	9.66645i	−0.937194	−	0.348808i
$769$	−8.42654	−	14.5952i	−0.303869	−	0.526316i	0.673140	−	0.739515i	$-0.264945\pi$
$769$	−8.42654	−	14.5952i	−0.303869	−	0.526316i	−0.977009	+	0.213199i	$0.931612\pi$
$770$	11.1974	+	21.8384i	0.403525	+	0.787000i
$771$	−1.92265	−	45.5299i	−0.0692426	−	1.63972i
$772$	−22.6299	+	31.4834i	−0.814466	+	1.13311i
$773$	19.6992			0.708530			0.354265	−	0.935145i	$-0.384731\pi$
$773$	19.6992			0.708530			0.354265	+	0.935145i	$0.384731\pi$
$774$	−20.1382	+	37.8459i	−0.723853	+	1.36034i
$775$			1.52278i			0.0546998i
$776$	30.2963	−	38.0030i	1.08758	−	1.36423i
$777$	9.65106	+	15.1970i	0.346230	+	0.545191i
$778$	−17.7014	−	34.5232i	−0.634624	−	1.23772i
$779$	−1.47263	+	0.850224i	−0.0527625	+	0.0304625i
$780$	9.83952	+	6.46091i	0.352311	+	0.231338i
$781$	37.0809	+	21.4086i	1.32686	+	0.766061i
$782$	−0.761335	+	15.2713i	−0.0272253	+	0.546100i
$783$	18.9511	−	45.2026i	0.677257	−	1.61541i
$784$	−59.2110	−	11.9565i	−2.11468	−	0.427018i
$785$	13.8050	+	7.97033i	0.492722	+	0.284473i
$786$	23.3927	+	13.7442i	0.834390	+	0.490239i
$787$	−5.29184	−	9.16574i	−0.188634	−	0.326723i	0.756161	−	0.654385i	$-0.227073\pi$
$787$	−5.29184	−	9.16574i	−0.188634	−	0.326723i	−0.944795	+	0.327662i	$0.893739\pi$
$788$	−0.507943	−	1.12539i	−0.0180947	−	0.0400905i
$789$	6.43017	+	10.1253i	0.228920	+	0.360469i
$790$	−3.00781	−	1.94242i	−0.107013	−	0.0691082i
$791$	43.8403			1.55878
$792$	2.03547	−	31.2554i	0.0723271	−	1.11061i
$793$	21.9583			0.779763
$794$	−0.809113	−	0.522519i	−0.0287143	−	0.0185435i
$795$	−1.12898	+	0.0476751i	−0.0400409	+	0.00169086i
$796$	1.55299	−	0.700936i	0.0550442	−	0.0248440i
$797$	7.01916	+	12.1575i	0.248631	+	0.430642i	0.963146	−	0.268978i	$-0.0866859\pi$
$797$	7.01916	+	12.1575i	0.248631	+	0.430642i	−0.714515	+	0.699620i	$0.753353\pi$
$798$	−0.0161883	+	2.12735i	−0.000573060	+	0.0753073i
$799$	17.7395	+	10.2419i	0.627577	+	0.362332i
$800$	−5.48230	−	1.39440i	−0.193829	−	0.0492994i
$801$	10.6616	−	7.41997i	0.376709	−	0.262172i
$802$	0.768685	−	15.4187i	0.0271432	−	0.544454i
$803$	48.9358	+	28.2531i	1.72691	+	0.997031i
$804$	2.25936	+	4.49030i	0.0796815	+	0.158361i
$805$	13.7565	−	7.94232i	0.484853	−	0.279930i
$806$	−3.33880	−	6.51170i	−0.117604	−	0.229365i
$807$	−17.3852	+	33.2804i	−0.611988	+	1.17153i
$808$	−3.58246	+	4.49375i	−0.126030	+	0.158090i
$809$		−	13.5081i		−	0.474919i	−0.971397	−	0.237459i	$-0.923685\pi$
$809$		−	13.5081i		−	0.474919i	0.971397	−	0.237459i	$-0.0763147\pi$
$810$	5.01034	−	11.7003i	0.176045	−	0.411106i
$811$	1.04752			0.0367835			0.0183918	−	0.999831i	$-0.494145\pi$
$811$	1.04752			0.0367835			0.0183918	+	0.999831i	$0.494145\pi$
$812$	72.0178	+	51.7655i	2.52733	+	1.81661i
$813$	3.13661	+	1.63852i	0.110006	+	0.0574654i
$814$	−5.26584	−	10.2700i	−0.184567	−	0.359964i
$815$	2.70616	+	4.68720i	0.0947926	+	0.164186i
$816$	−20.6967	+	7.94546i	−0.724528	+	0.278147i
$817$	−0.933371	+	1.61665i	−0.0326545	+	0.0565593i
$818$	42.3065	+	2.10915i	1.47921	+	0.0737447i
$819$	−27.3761	−	39.3361i	−0.956599	−	1.37452i
$820$	−1.83097	+	18.3177i	−0.0639403	+	0.639681i
$821$	−22.1991	+	38.4500i	−0.774755	+	1.34192i	0.160176	+	0.987088i	$0.448794\pi$
$821$	−22.1991	+	38.4500i	−0.774755	+	1.34192i	−0.934932	+	0.354827i	$0.884540\pi$
$822$	0.0857141	−	11.2639i	0.00298962	−	0.392874i
$823$	−13.9621	+	8.06104i	−0.486689	+	0.280990i	−0.723200	−	0.690639i	$-0.757329\pi$
$823$	−13.9621	+	8.06104i	−0.486689	+	0.280990i	0.236511	+	0.971629i	$0.423996\pi$
$824$	−3.57651	+	1.40434i	−0.124594	+	0.0489226i
$825$	−0.269747	−	6.38781i	−0.00939138	−	0.222395i
$826$	30.2361	−	46.8202i	1.05205	−	1.62908i
$827$		−	11.7598i		−	0.408930i	−0.978874	−	0.204465i	$-0.934455\pi$
$827$		−	11.7598i		−	0.408930i	0.978874	−	0.204465i	$-0.0655454\pi$
$828$	−20.2706	−	0.308521i	−0.704453	−	0.0107219i
$829$		−	10.9353i		−	0.379798i	−0.981804	−	0.189899i	$-0.939184\pi$
$829$		−	10.9353i		−	0.379798i	0.981804	−	0.189899i	$-0.0608161\pi$
$830$	5.30076	+	3.42319i	0.183992	+	0.118821i
$831$	−32.2071	+	20.4535i	−1.11725	+	0.709525i
$832$	26.5007	−	6.05762i	0.918748	−	0.210010i
$833$	−41.8490	+	24.1615i	−1.44998	+	0.837148i
$834$	−14.6883	+	24.9995i	−0.508613	+	0.865663i
$835$	−1.12519	+	1.94888i	−0.0389387	+	0.0674439i
$836$	0.135652	−	1.35711i	0.00469161	−	0.0469365i
$837$	−6.29809	+	4.78991i	−0.217694	+	0.165563i
$838$	−1.97901	+	39.6961i	−0.0683638	+	1.37128i
$839$	10.0450	−	17.3985i	0.346793	−	0.600663i	−0.638885	−	0.769302i	$-0.720604\pi$
$839$	10.0450	−	17.3985i	0.346793	−	0.600663i	0.985678	+	0.168639i	$0.0539373\pi$
$840$	18.5985	+	13.5842i	0.641711	+	0.468701i
$841$	−29.9892	−	51.9428i	−1.03411	−	1.79113i
$842$	5.53819	−	2.83964i	0.190858	−	0.0978604i
$843$	−12.0020	+	7.62200i	−0.413370	+	0.262516i
$844$	−7.38492	+	10.2741i	−0.254199	+	0.353650i
$845$	1.45338			0.0499978
$846$	−12.7578	+	23.9759i	−0.438624	+	0.824309i
$847$			12.3437i			0.424135i
$848$	−1.72631	+	1.95700i	−0.0592818	+	0.0672036i
$849$	−36.1532	+	1.52669i	−1.24077	+	0.0523958i
$850$	−4.02684	+	2.06471i	−0.138119	+	0.0708190i
$851$	−6.46934	+	3.73507i	−0.221766	+	0.128037i
$852$	40.1157	+	2.30607i	1.37434	+	0.0790047i
$853$	−25.3701	−	14.6474i	−0.868654	−	0.501518i	−0.00175348	−	0.999998i	$-0.500558\pi$
$853$	−25.3701	−	14.6474i	−0.868654	−	0.501518i	−0.866901	+	0.498481i	$0.833891\pi$
$854$	42.9100	+	2.13924i	1.46835	+	0.0732032i
$855$	0.235661	−	0.501626i	0.00805943	−	0.0171552i
$856$	4.30030	−	28.5619i	0.146981	−	0.976224i
$857$	−20.4040	−	11.7802i	−0.696987	−	0.402406i	0.109237	−	0.994016i	$-0.465159\pi$
$857$	−20.4040	−	11.7802i	−0.696987	−	0.402406i	−0.806224	+	0.591610i	$0.798493\pi$
$858$	15.1592	+	26.7241i	0.517527	+	0.912346i
$859$	2.37008	+	4.10510i	0.0808660	+	0.140064i	0.903622	−	0.428330i	$-0.140898\pi$
$859$	2.37008	+	4.10510i	0.0808660	+	0.140064i	−0.822756	+	0.568395i	$0.807565\pi$
$860$	8.31378	+	18.4199i	0.283498	+	0.628115i
$861$	34.7031	−	66.4318i	1.18268	−	2.26399i
$862$	12.9675	−	20.0801i	0.441676	−	0.683930i
$863$	−15.5711			−0.530046			−0.265023	−	0.964242i	$-0.585380\pi$
$863$	−15.5711			−0.530046			−0.265023	+	0.964242i	$0.585380\pi$
$864$	−11.4775	−	27.0604i	−0.390473	−	0.920615i
$865$	5.16769			0.175707
$866$	1.61518	−	2.50109i	0.0548862	−	0.0849904i
$867$	5.42193	−	10.3792i	0.184138	−	0.352495i
$868$	−5.89015	−	13.0502i	−0.199925	−	0.442952i
$869$	−4.67278	−	8.09350i	−0.158513	−	0.274553i
$870$	−11.4002	−	20.0974i	−0.386504	−	0.681365i
$871$	−4.27020	−	2.46540i	−0.144690	−	0.0835370i
$872$	5.03337	−	33.4308i	0.170451	−	1.13211i
$873$	51.3660	−	4.34596i	1.73848	−	0.147088i
$874$	−0.881671	−	0.0439548i	−0.0298230	−	0.00148679i
$875$	4.07138	+	2.35061i	0.137638	+	0.0794653i
$876$	52.9410	+	3.04334i	1.78871	+	0.102825i
$877$	34.1807	−	19.7342i	1.15420	−	0.666378i	0.204293	−	0.978910i	$-0.434511\pi$
$877$	34.1807	−	19.7342i	1.15420	−	0.666378i	0.949907	+	0.312532i	$0.101177\pi$
$878$	22.5101	−	11.5418i	0.759680	−	0.389517i
$879$	3.18898	−	0.134666i	0.107562	−	0.00454215i
$880$	−11.0727	−	9.76752i	−0.373262	−	0.329263i
$881$			40.8421i			1.37601i	0.725708	+	0.688003i	$0.241512\pi$
$881$			40.8421i			1.37601i	−0.725708	+	0.688003i	$0.758488\pi$
$882$	−33.9352	−	54.3454i	−1.14266	−	1.82991i
$883$	−6.63432			−0.223263			−0.111631	−	0.993750i	$-0.535608\pi$
$883$	−6.63432			−0.223263			−0.111631	+	0.993750i	$0.535608\pi$
$884$	12.6925	−	17.6582i	0.426896	−	0.593911i
$885$	−12.2570	+	7.78396i	−0.412015	+	0.261655i
$886$	43.4222	−	22.2642i	1.45880	−	0.747981i
$887$	−8.69428	−	15.0589i	−0.291925	−	0.505629i	0.682340	−	0.731035i	$-0.260963\pi$
$887$	−8.69428	−	15.0589i	−0.291925	−	0.505629i	−0.974265	+	0.225406i	$0.927629\pi$
$888$	−8.74642	−	6.38832i	−0.293511	−	0.214378i
$889$	−9.12422	+	15.8036i	−0.306017	+	0.530036i
$890$	0.304891	−	6.11568i	0.0102200	−	0.204998i
$891$	25.5710	−	21.2085i	0.856660	−	0.710513i
$892$	2.85824	−	28.5948i	0.0957008	−	0.957425i
$893$	−0.591304	+	1.02417i	−0.0197872	+	0.0342725i
$894$	8.49378	−	14.4565i	0.284075	−	0.483497i
$895$	−13.7730	+	7.95185i	−0.460381	+	0.265801i
$896$	52.3768	−	9.25577i	1.74979	−	0.309214i
$897$	16.7872	−	10.6609i	0.560509	−	0.355958i
$898$	−46.7125	−	30.1666i	−1.55882	−	1.00667i
$899$			14.3641i			0.479070i
$900$	−2.92058	−	5.24121i	−0.0973525	−	0.174707i
$901$			2.08760i			0.0695480i
$902$	−26.0671	+	40.3646i	−0.867941	+	1.34399i
$903$	−3.47144	−	82.2063i	−0.115522	−	2.73565i
$904$	−24.5511	+	9.64016i	−0.816556	+	0.320627i
$905$	13.1429	−	7.58807i	0.436886	−	0.252236i
$906$	−0.313482	+	41.1954i	−0.0104147	+	1.36863i
$907$	18.1322	−	31.4059i	0.602071	−	1.04282i	−0.390436	−	0.920630i	$-0.627676\pi$
$907$	18.1322	−	31.4059i	0.602071	−	1.04282i	0.992507	−	0.122187i	$-0.0389909\pi$
$908$	−2.02145	+	20.2233i	−0.0670841	+	0.671133i
$909$	−6.07389	+	0.513898i	−0.201458	+	0.0170449i
$910$	−22.5639	−	1.12490i	−0.747987	−	0.0372901i
$911$	4.34808	−	7.53110i	0.144058	−	0.249517i	−0.784963	−	0.619543i	$-0.787318\pi$
$911$	4.34808	−	7.53110i	0.144058	−	0.249517i	0.929021	+	0.370026i	$0.120651\pi$
$912$	−0.458723	−	1.19490i	−0.0151898	−	0.0395671i
$913$	8.23501	+	14.2635i	0.272539	+	0.472051i
$914$	−4.20619	−	8.20339i	−0.139128	−	0.271344i
$915$	−9.92058	−	5.18237i	−0.327964	−	0.171324i
$916$	−36.3895	−	26.1563i	−1.20234	−	0.864230i
$917$	−52.0727			−1.71959
$918$	−21.2059	−	10.1601i	−0.699899	−	0.335333i
$919$		−	8.35467i		−	0.275595i	−0.990460	−	0.137798i	$-0.955998\pi$
$919$		−	8.35467i		−	0.275595i	0.990460	−	0.137798i	$-0.0440023\pi$
$920$	−5.95734	+	7.47275i	−0.196408	+	0.246369i
$921$	−8.17662	+	15.6524i	−0.269429	+	0.515766i
$922$	−2.88603	−	5.62866i	−0.0950463	−	0.185370i
$923$	−34.1349	+	19.7078i	−1.12356	+	0.648690i
$924$	27.0200	+	53.7000i	0.888892	+	1.76660i
$925$	−1.91467	−	1.10543i	−0.0629539	−	0.0363465i
$926$	2.44129	−	48.9689i	0.0802259	−	1.60922i
$927$	−3.68864	−	1.73290i	−0.121151	−	0.0569160i
$928$	−51.7137	−	13.1531i	−1.69758	−	0.431772i
$929$	0.0492053	+	0.0284087i	0.00161437	+	0.000932059i	0.500807	−	0.865559i	$-0.333037\pi$
$929$	0.0492053	+	0.0284087i	0.00161437	+	0.000932059i	−0.499193	+	0.866491i	$0.666370\pi$
$930$	−0.0283833	+	3.72992i	−0.000930725	+	0.122309i
$931$	−1.39494	−	2.41611i	−0.0457173	−	0.0791847i
$932$	−5.75938	+	2.59948i	−0.188655	+	0.0851487i
$933$	35.6217	−	1.50425i	1.16620	−	0.0492469i
$934$	−13.5522	−	8.75194i	−0.443443	−	0.286372i
$935$	−11.8117			−0.386283
$936$	23.9807	+	16.0089i	0.783833	+	0.523266i
$937$	−8.91661			−0.291293			−0.145646	−	0.989337i	$-0.546526\pi$
$937$	−8.91661			−0.291293			−0.145646	+	0.989337i	$0.546526\pi$
$938$	−8.10447	−	5.23380i	−0.264620	−	0.170890i
$939$	−5.04879	−	7.95008i	−0.164761	−	0.259441i
$940$	5.26690	+	11.6693i	0.171787	+	0.380611i
$941$	−11.9913	−	20.7695i	−0.390904	−	0.677065i	0.601665	−	0.798748i	$-0.294504\pi$
$941$	−11.9913	−	20.7695i	−0.390904	−	0.677065i	−0.992569	+	0.121683i	$0.961171\pi$
$942$	33.6657	+	19.7800i	1.09689	+	0.644467i
$943$	26.9337	+	15.5502i	0.877082	+	0.506384i
$944$	−6.63717	+	32.8686i	−0.216021	+	1.06978i
$945$	3.08461	+	24.2328i	0.100342	+	0.788292i
$946$	−2.62648	+	52.6835i	−0.0853943	+	1.71289i
$947$	15.8908	+	9.17457i	0.516382	+	0.298133i	0.735453	−	0.677576i	$-0.236969\pi$
$947$	15.8908	+	9.17457i	0.516382	+	0.298133i	−0.219071	+	0.975709i	$0.570303\pi$
$948$	−7.33117	−	4.81386i	−0.238105	−	0.156347i
$949$	−45.0480	+	26.0085i	−1.46232	+	0.844272i
$950$	−0.119204	−	0.232485i	−0.00386748	−	0.00754281i
$951$	18.5513	+	29.2118i	0.601566	+	0.947256i
$952$	26.5235	−	33.2704i	0.859632	−	1.07830i
$953$			6.04509i			0.195820i	0.995195	+	0.0979099i	$0.0312157\pi$
$953$			6.04509i			0.195820i	−0.995195	+	0.0979099i	$0.968784\pi$
$954$	−2.76624	+	0.0957331i	−0.0895604	+	0.00309947i
$955$	−7.49572			−0.242556
$956$	−16.9730	+	23.6134i	−0.548946	+	0.763711i
$957$	−2.54448	−	60.2552i	−0.0822513	−	1.94777i
$958$	−7.40705	−	14.4461i	−0.239311	−	0.466731i
$959$	10.8095	+	18.7227i	0.349058	+	0.604587i
$960$	−13.4025	−	3.51765i	−0.432563	−	0.113532i
$961$	−14.3406	+	24.8386i	−0.462599	+	0.801245i
$962$	10.6112	+	0.529013i	0.342120	+	0.0170561i
$963$	25.1456	−	17.5002i	0.810305	−	0.563935i
$964$	12.4827	+	1.24773i	0.402040	+	0.0401865i
$965$	−9.69314	+	16.7890i	−0.312033	+	0.540458i
$966$	33.8435	−	19.1977i	1.08890	−	0.617675i
$967$	27.9898	−	16.1599i	0.900091	−	0.519668i	0.0228612	−	0.999739i	$-0.492722\pi$
$967$	27.9898	−	16.1599i	0.900091	−	0.519668i	0.877230	+	0.480071i	$0.159389\pi$
$968$	−2.71429	−	6.91263i	−0.0872407	−	0.222180i
$969$	−0.907535	−	0.474083i	−0.0291542	−	0.0152298i
$970$	13.1832	−	20.4139i	0.423286	−	0.655452i
$971$		−	51.1694i		−	1.64210i	−0.570854	−	0.821052i	$-0.693388\pi$
$971$		−	51.1694i		−	1.64210i	0.570854	−	0.821052i	$-0.306612\pi$
$972$	12.4905	−	28.5655i	0.400633	−	0.916239i
$973$		−	55.6496i		−	1.78404i
$974$	−42.3124	−	27.3250i	−1.35578	−	0.875550i
$975$	5.21667	+	2.72511i	0.167067	+	0.0872735i
$976$	−24.5005	+	8.23760i	−0.784242	+	0.263679i
$977$	−28.6240	+	16.5261i	−0.915762	+	0.528715i	−0.882281	−	0.470724i	$-0.843993\pi$
$977$	−28.6240	+	16.5261i	−0.915762	+	0.528715i	−0.0334814	+	0.999439i	$0.510659\pi$
$978$	6.54115	+	11.5314i	0.209163	+	0.368732i
$979$	7.99130	−	13.8413i	0.255403	−	0.442371i
$980$	−30.0533	−	3.00402i	−0.960018	−	0.0959600i
$981$	29.4322	−	20.4834i	0.939696	−	0.653985i
$982$	0.373048	−	7.48281i	0.0119044	−	0.238786i
$983$	1.80025	−	3.11812i	0.0574189	−	0.0994525i	−0.835887	−	0.548901i	$-0.815046\pi$
$983$	1.80025	−	3.11812i	0.0574189	−	0.0994525i	0.893306	+	0.449449i	$0.148380\pi$
$984$	−4.82624	+	44.8335i	−0.153855	+	1.42924i
$985$	−0.308679	−	0.534647i	−0.00983532	−	0.0170353i
$986$	−37.9845	+	19.4761i	−1.20967	+	0.620245i
$987$	−2.19921	−	52.0789i	−0.0700015	−	1.65769i
$988$	1.01948	+	0.732789i	0.0324339	+	0.0233131i
$989$	34.1418			1.08565
$990$	−0.541660	−	15.6515i	−0.0172151	−	0.497436i
$991$		−	2.89979i		−	0.0921149i	−0.998939	−	0.0460575i	$-0.985334\pi$
$991$		−	2.89979i		−	0.0921149i	0.998939	−	0.0460575i	$-0.0146657\pi$
$992$	6.16819	+	6.01305i	0.195840	+	0.190915i
$993$	−1.32165	−	2.08113i	−0.0419412	−	0.0660426i
$994$	−68.6250	+	35.1867i	−2.17665	+	1.11605i
$995$	0.737786	−	0.425961i	0.0233894	−	0.0135039i
$996$	12.9200	+	8.48363i	0.409385	+	0.268814i
$997$	37.0402	+	21.3851i	1.17307	+	0.677274i	0.954402	−	0.298524i	$-0.0964944\pi$
$997$	37.0402	+	21.3851i	1.17307	+	0.677274i	0.218671	+	0.975799i	$0.429828\pi$
$998$	52.0876	+	2.59678i	1.64881	+	0.0821995i
$999$	−1.45061	−	11.3961i	−0.0458954	−	0.360555i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	360.2.bm.a.11.17	✓	48
3.2	odd	2		1080.2.bm.b.251.8		48
4.3	odd	2		1440.2.cc.a.911.9		48
8.3	odd	2		360.2.bm.b.11.9	yes	48
8.5	even	2		1440.2.cc.b.911.9		48
9.4	even	3		1080.2.bm.a.611.16		48
9.5	odd	6		360.2.bm.b.131.9	yes	48
12.11	even	2		4320.2.cc.b.1871.1		48
24.5	odd	2		4320.2.cc.a.1871.24		48
24.11	even	2		1080.2.bm.a.251.16		48
36.23	even	6		1440.2.cc.b.1391.9		48
36.31	odd	6		4320.2.cc.a.3311.24		48
72.5	odd	6		1440.2.cc.a.1391.9		48
72.13	even	6		4320.2.cc.b.3311.1		48
72.59	even	6	inner	360.2.bm.a.131.17	yes	48
72.67	odd	6		1080.2.bm.b.611.8		48

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
360.2.bm.a.11.17	✓	48	1.1	even	1	trivial
360.2.bm.a.131.17	yes	48	72.59	even	6	inner
360.2.bm.b.11.9	yes	48	8.3	odd	2
360.2.bm.b.131.9	yes	48	9.5	odd	6
1080.2.bm.a.251.16		48	24.11	even	2
1080.2.bm.a.611.16		48	9.4	even	3
1080.2.bm.b.251.8		48	3.2	odd	2
1080.2.bm.b.611.8		48	72.67	odd	6
1440.2.cc.a.911.9		48	4.3	odd	2
1440.2.cc.a.1391.9		48	72.5	odd	6
1440.2.cc.b.911.9		48	8.5	even	2
1440.2.cc.b.1391.9		48	36.23	even	6
4320.2.cc.a.1871.24		48	24.5	odd	2
4320.2.cc.a.3311.24		48	36.31	odd	6
4320.2.cc.b.1871.1		48	12.11	even	2
4320.2.cc.b.3311.1		48	72.13	even	6

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:	\( N \)	\(=\)	\( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	360.bm (of order \(6\), degree \(2\), minimal)

\(f(q)\)	\(=\)	\(q+(0.767212 - 1.18802i) q^{2} +(0.801968 - 1.53520i) q^{3} +(-0.822770 - 1.82292i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.20857 - 2.13058i) q^{6} +(4.07138 + 2.35061i) q^{7} +(-2.79690 - 0.421104i) q^{8} +(-1.71369 - 2.46237i) q^{9} +O(q^{10})\)	\(q+(0.767212 - 1.18802i) q^{2} +(0.801968 - 1.53520i) q^{3} +(-0.822770 - 1.82292i) q^{4} +(-0.500000 - 0.866025i) q^{5} +(-1.20857 - 2.13058i) q^{6} +(4.07138 + 2.35061i) q^{7} +(-2.79690 - 0.421104i) q^{8} +(-1.71369 - 2.46237i) q^{9} +(-1.41246 - 0.0704168i) q^{10} +(-3.19675 - 1.84565i) q^{11} +(-3.45839 - 0.198807i) q^{12} +(2.94278 - 1.69902i) q^{13} +(5.91619 - 3.03345i) q^{14} +(-1.73051 + 0.0730766i) q^{15} +(-2.64610 + 2.99969i) q^{16} +3.19988i q^{17} +(-4.24010 + 0.146740i) q^{18} -0.184741 q^{19} +(-1.16731 + 1.62400i) q^{20} +(6.87379 - 4.36528i) q^{21} +(-4.64525 + 2.38180i) q^{22} +(1.68941 + 2.92615i) q^{23} +(-2.88951 + 3.95610i) q^{24} +(-0.500000 + 0.866025i) q^{25} +(0.239278 - 4.79958i) q^{26} +(-5.15456 + 0.656128i) q^{27} +(0.935176 - 9.35583i) q^{28} +(-4.71642 + 8.16907i) q^{29} +(-1.24085 + 2.11194i) q^{30} +(1.31877 - 0.761389i) q^{31} +(1.53357 + 5.44501i) q^{32} +(-5.39713 + 3.42751i) q^{33} +(3.80151 + 2.45499i) q^{34} -4.70123i q^{35} +(-3.07873 + 5.14990i) q^{36} +2.21087i q^{37} +(-0.141736 + 0.219476i) q^{38} +(-0.248316 - 5.88032i) q^{39} +(1.03377 + 2.63274i) q^{40} +(7.97131 - 4.60224i) q^{41} +(0.0876269 - 11.5153i) q^{42} +(5.05231 - 8.75086i) q^{43} +(-0.734278 + 7.34598i) q^{44} +(-1.27563 + 2.71529i) q^{45} +(4.77246 + 0.237926i) q^{46} +(3.20071 - 5.54379i) q^{47} +(2.48305 + 6.46796i) q^{48} +(7.55077 + 13.0783i) q^{49} +(0.645247 + 1.25843i) q^{50} +(4.91246 + 2.56620i) q^{51} +(-5.51841 - 3.96657i) q^{52} +0.652400 q^{53} +(-3.17515 + 6.62710i) q^{54} +3.69129i q^{55} +(-10.3974 - 8.28892i) q^{56} +(-0.148157 + 0.283616i) q^{57} +(6.08651 + 11.8706i) q^{58} +(7.25989 - 4.19150i) q^{59} +(1.55702 + 3.09446i) q^{60} +(5.59632 + 3.23103i) q^{61} +(0.107229 - 2.15086i) q^{62} +(-1.18903 - 14.0535i) q^{63} +(7.64534 + 2.35557i) q^{64} +(-2.94278 - 1.69902i) q^{65} +(-0.0688025 + 9.04152i) q^{66} +(-0.725538 - 1.25667i) q^{67} +(5.83313 - 2.63276i) q^{68} +(5.84709 - 0.246913i) q^{69} +(-5.58514 - 3.60684i) q^{70} -11.5995 q^{71} +(3.75613 + 7.60865i) q^{72} -15.3080 q^{73} +(2.62655 + 1.69621i) q^{74} +(0.928540 + 1.46213i) q^{75} +(0.152000 + 0.336769i) q^{76} +(-8.67680 - 15.0287i) q^{77} +(-7.17644 - 4.21645i) q^{78} +(2.19259 + 1.26589i) q^{79} +(3.92086 + 0.791741i) q^{80} +(-3.12650 + 8.43949i) q^{81} +(0.648150 - 13.0010i) q^{82} +(-3.86408 - 2.23093i) q^{83} +(-13.6131 - 8.93876i) q^{84} +(2.77118 - 1.59994i) q^{85} +(-6.51998 - 12.7160i) q^{86} +(8.75877 + 13.7920i) q^{87} +(8.16380 + 6.50826i) q^{88} +4.32981i q^{89} +(2.24713 + 3.59867i) q^{90} +15.9749 q^{91} +(3.94415 - 5.48722i) q^{92} +(-0.111279 - 2.63518i) q^{93} +(-4.13050 - 8.05577i) q^{94} +(0.0923707 + 0.159991i) q^{95} +(9.58907 + 2.01239i) q^{96} +(-8.59159 + 14.8811i) q^{97} +(21.3303 + 1.06340i) q^{98} +(0.933599 + 11.0345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8}+O(q^{10}) \) 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8	\( 48 q - 24 q^{5} + 7 q^{6} - 6 q^{8} - 15 q^{12} + 15 q^{14} + 12 q^{16} - 11 q^{18} - 4 q^{21} + 21 q^{22} - 24 q^{24} - 24 q^{25} + 12 q^{27} - 14 q^{30} - 8 q^{33} + 33 q^{34} - 23 q^{36} - 33 q^{38} + 16 q^{39} - 6 q^{40} + 12 q^{41} - 53 q^{42} - 24 q^{44} - 6 q^{46} + 12 q^{47} + 45 q^{48} + 24 q^{49} - 20 q^{51} - 36 q^{52} - 36 q^{54} + 21 q^{56} + 4 q^{57} - 51 q^{58} - 36 q^{59} + 15 q^{60} + 12 q^{61} + 42 q^{62} + 56 q^{63} - 12 q^{64} + 24 q^{66} + 57 q^{68} - 40 q^{69} - 15 q^{70} + 46 q^{72} + 30 q^{74} + 57 q^{76} + 78 q^{78} - 8 q^{81} - 18 q^{82} - 60 q^{83} - 31 q^{84} + 27 q^{86} + 36 q^{87} + 57 q^{88} + 4 q^{90} - 51 q^{92} + 57 q^{94} - 119 q^{96} + 42 q^{98} - 16 q^{99}+O(q^{100}) \) 48 * q - 24 * q^5 + 7 * q^6 - 6 * q^8 - 15 * q^12 + 15 * q^14 + 12 * q^16 - 11 * q^18 - 4 * q^21 + 21 * q^22 - 24 * q^24 - 24 * q^25 + 12 * q^27 - 14 * q^30 - 8 * q^33 + 33 * q^34 - 23 * q^36 - 33 * q^38 + 16 * q^39 - 6 * q^40 + 12 * q^41 - 53 * q^42 - 24 * q^44 - 6 * q^46 + 12 * q^47 + 45 * q^48 + 24 * q^49 - 20 * q^51 - 36 * q^52 - 36 * q^54 + 21 * q^56 + 4 * q^57 - 51 * q^58 - 36 * q^59 + 15 * q^60 + 12 * q^61 + 42 * q^62 + 56 * q^63 - 12 * q^64 + 24 * q^66 + 57 * q^68 - 40 * q^69 - 15 * q^70 + 46 * q^72 + 30 * q^74 + 57 * q^76 + 78 * q^78 - 8 * q^81 - 18 * q^82 - 60 * q^83 - 31 * q^84 + 27 * q^86 + 36 * q^87 + 57 * q^88 + 4 * q^90 - 51 * q^92 + 57 * q^94 - 119 * q^96 + 42 * q^98 - 16 * q^99

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