LMFDB - Embedded newform 152.2.t.a.101.2

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [152,2,Mod(5,152)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(152, base_ring=CyclotomicField(18))

chi = DirichletCharacter(H, H._module([0, 9, 16]))

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

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

chi := DirichletCharacter("152.5");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 152 = 2^{3} \cdot 19 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	152.t (of order $18$, degree $6$, minimal)

Newform invariants

comment: select newform

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

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

Self dual:	no
Analytic conductor:	$1.21372611072$
Analytic rank:	$0$
Dimension:	$108$
Relative dimension:	$18$ over $\Q(\zeta_{18})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label			101.2
Character	$\chi$	$=$	152.101
Dual form			152.2.t.a.149.2

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(-1.31054 - 0.531505i) q^{2} +(-0.947836 + 2.60416i) q^{3} +(1.43500 + 1.39311i) q^{4} +(-1.56423 + 0.275816i) q^{5} +(2.62630 - 2.90906i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.14018 - 2.58844i) q^{8} +(-3.58511 - 3.00826i) q^{9} +O(q^{10})$	\(q+(-1.31054 - 0.531505i) q^{2} +(-0.947836 + 2.60416i) q^{3} +(1.43500 + 1.39311i) q^{4} +(-1.56423 + 0.275816i) q^{5} +(2.62630 - 2.90906i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.14018 - 2.58844i) q^{8} +(-3.58511 - 3.00826i) q^{9} +(2.19658 + 0.469930i) q^{10} +(-3.16397 + 1.82672i) q^{11} +(-4.98803 + 2.41653i) q^{12} +(-1.56607 - 4.30274i) q^{13} +(0.227772 - 0.177471i) q^{14} +(0.764365 - 4.33493i) q^{15} +(0.118474 + 3.99825i) q^{16} +(-3.79018 + 3.18034i) q^{17} +(3.09950 + 5.84794i) q^{18} +(3.94490 + 1.85412i) q^{19} +(-2.62892 - 1.78335i) q^{20} +(-0.363709 - 0.433451i) q^{21} +(5.11740 - 0.712312i) q^{22} +(-0.845340 + 4.79416i) q^{23} +(7.82139 - 0.515787i) q^{24} +(-2.32772 + 0.847222i) q^{25} +(-0.234541 + 6.47127i) q^{26} +(4.03208 - 2.32792i) q^{27} +(-0.392829 + 0.111520i) q^{28} +(4.64554 - 5.53634i) q^{29} +(-3.30577 + 5.27481i) q^{30} +(0.446248 - 0.772924i) q^{31} +(1.96982 - 5.30281i) q^{32} +(-1.75814 - 9.97090i) q^{33} +(6.65753 - 2.15344i) q^{34} +(0.110919 - 0.304747i) q^{35} +(-0.953796 - 9.31133i) q^{36} +10.9493i q^{37} +(-4.18446 - 4.52662i) q^{38} +12.6894 q^{39} +(2.49743 + 3.73443i) q^{40} +(0.759524 + 0.276444i) q^{41} +(0.246272 + 0.761367i) q^{42} +(-3.05282 + 0.538295i) q^{43} +(-7.08513 - 1.78642i) q^{44} +(6.43766 + 3.71679i) q^{45} +(3.65597 - 5.83361i) q^{46} +(0.601065 + 0.504353i) q^{47} +(-10.5244 - 3.48116i) q^{48} +(3.47916 + 6.02608i) q^{49} +(3.50086 + 0.126883i) q^{50} +(-4.68963 - 12.8847i) q^{51} +(3.74689 - 8.35617i) q^{52} +(-3.09742 - 0.546158i) q^{53} +(-6.52148 + 0.907751i) q^{54} +(4.44534 - 3.73008i) q^{55} +(0.574090 + 0.0626404i) q^{56} +(-8.56753 + 8.51575i) q^{57} +(-9.03074 + 4.78644i) q^{58} +(5.40063 + 6.43622i) q^{59} +(7.13591 - 5.15580i) q^{60} +(4.69406 + 0.827689i) q^{61} +(-0.995636 + 0.775760i) q^{62} +(0.897924 - 0.326817i) q^{63} +(-5.40000 + 5.90255i) q^{64} +(3.63646 + 6.29854i) q^{65} +(-2.99548 + 14.0017i) q^{66} +(-6.59023 + 7.85393i) q^{67} +(-9.86949 - 0.716349i) q^{68} +(-11.6835 - 6.74548i) q^{69} +(-0.307338 + 0.340428i) q^{70} +(1.87890 + 10.6558i) q^{71} +(-3.69904 + 12.7098i) q^{72} +(3.52851 + 1.28427i) q^{73} +(5.81960 - 14.3494i) q^{74} -6.86478i q^{75} +(3.07796 + 8.15636i) q^{76} -0.745944i q^{77} +(-16.6299 - 6.74449i) q^{78} +(-15.0464 - 5.47645i) q^{79} +(-1.28810 - 6.22150i) q^{80} +(-0.197510 - 1.12014i) q^{81} +(-0.848452 - 0.765981i) q^{82} +(-2.11687 - 1.22217i) q^{83} +(0.0819229 - 1.12869i) q^{84} +(5.05152 - 6.02017i) q^{85} +(4.28694 + 0.917137i) q^{86} +(10.0143 + 17.3453i) q^{87} +(8.33582 + 6.10695i) q^{88} +(10.2933 - 3.74647i) q^{89} +(-6.46129 - 8.29263i) q^{90} +(0.920696 + 0.162344i) q^{91} +(-7.89187 + 5.70199i) q^{92} +(1.58985 + 1.89470i) q^{93} +(-0.519650 - 0.980442i) q^{94} +(-6.68213 - 1.81220i) q^{95} +(11.9423 + 10.1559i) q^{96} +(13.9297 - 11.6884i) q^{97} +(-1.35666 - 9.74657i) q^{98} +(16.8384 + 2.96907i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	$ 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) $ 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/152\mathbb{Z}\right)^\times$.

$n$	$39$	$77$	$97$
$\chi(n)$	$1$	$-1$	$e\left(\frac{7}{9}\right)$

Coefficient data

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

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

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

$2$	−1.31054	−	0.531505i	−0.926688	−	0.375831i
$2$	−1.31054	−	0.531505i	−0.926688	−	0.375831i
$3$	−0.947836	+	2.60416i	−0.547233	+	1.50351i	0.290197	+	0.956967i	$0.406279\pi$
$3$	−0.947836	+	2.60416i	−0.547233	+	1.50351i	−0.837430	+	0.546544i	$0.815943\pi$
$4$	1.43500	+	1.39311i	0.717502	+	0.696556i
$5$	−1.56423	+	0.275816i	−0.699545	+	0.123349i	−0.512099	−	0.858926i	$-0.671132\pi$
$5$	−1.56423	+	0.275816i	−0.699545	+	0.123349i	−0.187446	+	0.982275i	$0.560021\pi$
$6$	2.62630	−	2.90906i	1.07218	−	1.18762i
$7$	−0.102088	+	0.176822i	−0.0385857	+	0.0668323i	−0.884673	−	0.466211i	$-0.845619\pi$
$7$	−0.102088	+	0.176822i	−0.0385857	+	0.0668323i	0.846088	+	0.533044i	$0.178952\pi$
$8$	−1.14018	−	2.58844i	−0.403113	−	0.915150i
$9$	−3.58511	−	3.00826i	−1.19504	−	1.00275i
$10$	2.19658	+	0.469930i	0.694618	+	0.148605i
$11$	−3.16397	+	1.82672i	−0.953972	+	0.550776i	−0.894313	−	0.447443i	$-0.852335\pi$
$11$	−3.16397	+	1.82672i	−0.953972	+	0.550776i	−0.0596596	+	0.998219i	$0.519002\pi$
$12$	−4.98803	+	2.41653i	−1.43992	+	0.697593i
$13$	−1.56607	−	4.30274i	−0.434350	−	1.19337i	−0.943117	−	0.332462i	$-0.892121\pi$
$13$	−1.56607	−	4.30274i	−0.434350	−	1.19337i	0.508767	−	0.860904i	$-0.330102\pi$
$14$	0.227772	−	0.177471i	0.0608745	−	0.0474310i
$15$	0.764365	−	4.33493i	0.197358	−	1.11927i
$16$	0.118474	+	3.99825i	0.0296185	+	0.999561i
$17$	−3.79018	+	3.18034i	−0.919253	+	0.771345i	−0.973857	−	0.227163i	$-0.927055\pi$
$17$	−3.79018	+	3.18034i	−0.919253	+	0.771345i	0.0546034	+	0.998508i	$0.482611\pi$
$18$	3.09950	+	5.84794i	0.730560	+	1.37837i
$19$	3.94490	+	1.85412i	0.905022	+	0.425364i
$19$	3.94490	+	1.85412i	0.905022	+	0.425364i
$20$	−2.62892	−	1.78335i	−0.587844	−	0.398770i
$21$	−0.363709	−	0.433451i	−0.0793678	−	0.0945869i
$22$	5.11740	−	0.712312i	1.09103	−	0.151865i
$23$	−0.845340	+	4.79416i	−0.176266	+	0.999652i	0.760407	+	0.649446i	$0.224999\pi$
$23$	−0.845340	+	4.79416i	−0.176266	+	0.999652i	−0.936673	+	0.350205i	$0.886112\pi$
$24$	7.82139	−	0.515787i	1.59654	−	0.105285i
$25$	−2.32772	+	0.847222i	−0.465544	+	0.169444i
$26$	−0.234541	+	6.47127i	−0.0459973	+	1.26912i
$27$	4.03208	−	2.32792i	0.775974	−	0.448009i
$28$	−0.392829	+	0.111520i	−0.0742378	+	0.0210752i
$29$	4.64554	−	5.53634i	0.862655	−	1.02807i	−0.136643	−	0.990620i	$-0.543631\pi$
$29$	4.64554	−	5.53634i	0.862655	−	1.02807i	0.999298	−	0.0374523i	$-0.0119242\pi$
$30$	−3.30577	+	5.27481i	−0.603547	+	0.963045i
$31$	0.446248	−	0.772924i	0.0801484	−	0.138821i	−0.823165	−	0.567802i	$-0.807794\pi$
$31$	0.446248	−	0.772924i	0.0801484	−	0.138821i	0.903314	+	0.428981i	$0.141127\pi$
$32$	1.96982	−	5.30281i	0.348219	−	0.937413i
$33$	−1.75814	−	9.97090i	−0.306053	−	1.73571i
$34$	6.65753	−	2.15344i	1.14176	−	0.369313i
$35$	0.110919	−	0.304747i	0.0187487	−	0.0515117i
$36$	−0.953796	−	9.31133i	−0.158966	−	1.55189i
$37$			10.9493i			1.80005i	0.435838	+	0.900025i	$0.356452\pi$
$37$			10.9493i			1.80005i	−0.435838	+	0.900025i	$0.643548\pi$
$38$	−4.18446	−	4.52662i	−0.678809	−	0.734315i
$39$	12.6894			2.03193
$40$	2.49743	+	3.73443i	0.394878	+	0.590465i
$41$	0.759524	+	0.276444i	0.118618	+	0.0431733i	0.400647	−	0.916232i	$-0.368785\pi$
$41$	0.759524	+	0.276444i	0.118618	+	0.0431733i	−0.282029	+	0.959406i	$0.591008\pi$
$42$	0.246272	+	0.761367i	0.0380005	+	0.117481i
$43$	−3.05282	+	0.538295i	−0.465551	+	0.0820892i	−0.401503	−	0.915858i	$-0.631512\pi$
$43$	−3.05282	+	0.538295i	−0.465551	+	0.0820892i	−0.0640479	+	0.997947i	$0.520401\pi$
$44$	−7.08513	−	1.78642i	−1.06812	−	0.269312i
$45$	6.43766	+	3.71679i	0.959670	+	0.554066i
$46$	3.65597	−	5.83361i	0.539043	−	0.860119i
$47$	0.601065	+	0.504353i	0.0876743	+	0.0735675i	0.685571	−	0.728005i	$-0.259552\pi$
$47$	0.601065	+	0.504353i	0.0876743	+	0.0735675i	−0.597897	+	0.801573i	$0.703997\pi$
$48$	−10.5244	−	3.48116i	−1.51906	−	0.502461i
$49$	3.47916	+	6.02608i	0.497022	+	0.860868i
$50$	3.50086	+	0.126883i	0.495097	+	0.0179440i
$51$	−4.68963	−	12.8847i	−0.656680	−	1.80421i
$52$	3.74689	−	8.35617i	0.519600	−	1.15879i
$53$	−3.09742	−	0.546158i	−0.425463	−	0.0750206i	−0.0431831	−	0.999067i	$-0.513750\pi$
$53$	−3.09742	−	0.546158i	−0.425463	−	0.0750206i	−0.382280	+	0.924047i	$0.624861\pi$
$54$	−6.52148	+	0.907751i	−0.887461	+	0.123529i
$55$	4.44534	−	3.73008i	0.599409	−	0.502964i
$56$	0.574090	+	0.0626404i	0.0767160	+	0.00837068i
$57$	−8.56753	+	8.51575i	−1.13480	+	1.12794i
$58$	−9.03074	+	4.78644i	−1.18579	+	0.628490i
$59$	5.40063	+	6.43622i	0.703103	+	0.837925i	0.992874	−	0.119171i	$-0.0380237\pi$
$59$	5.40063	+	6.43622i	0.703103	+	0.837925i	−0.289771	+	0.957096i	$0.593579\pi$
$60$	7.13591	−	5.15580i	0.921242	−	0.665610i
$61$	4.69406	+	0.827689i	0.601013	+	0.105975i	0.465873	−	0.884852i	$-0.345740\pi$
$61$	4.69406	+	0.827689i	0.601013	+	0.105975i	0.135140	+	0.990827i	$0.456852\pi$
$62$	−0.995636	+	0.775760i	−0.126446	+	0.0985217i
$63$	0.897924	−	0.326817i	0.113128	−	0.0411751i
$64$	−5.40000	+	5.90255i	−0.674999	+	0.737818i
$65$	3.63646	+	6.29854i	0.451047	+	0.781237i
$66$	−2.99548	+	14.0017i	−0.368719	+	1.72349i
$67$	−6.59023	+	7.85393i	−0.805125	+	0.959510i	−0.999772	−	0.0213629i	$-0.993199\pi$
$67$	−6.59023	+	7.85393i	−0.805125	+	0.959510i	0.194647	+	0.980873i	$0.437644\pi$
$68$	−9.86949	−	0.716349i	−1.19685	−	0.0868700i
$69$	−11.6835	−	6.74548i	−1.40653	−	0.812060i
$70$	−0.307338	+	0.340428i	−0.0367339	+	0.0406889i
$71$	1.87890	+	10.6558i	0.222984	+	1.26461i	0.866501	+	0.499175i	$0.166364\pi$
$71$	1.87890	+	10.6558i	0.222984	+	1.26461i	−0.643517	+	0.765432i	$0.722525\pi$
$72$	−3.69904	+	12.7098i	−0.435936	+	1.49786i
$73$	3.52851	+	1.28427i	0.412981	+	0.150313i	0.540151	−	0.841568i	$-0.318367\pi$
$73$	3.52851	+	1.28427i	0.412981	+	0.150313i	−0.127170	+	0.991881i	$0.540589\pi$
$74$	5.81960	−	14.3494i	0.676515	−	1.66809i
$75$		−	6.86478i		−	0.792677i
$76$	3.07796	+	8.15636i	0.353066	+	0.935599i
$77$		−	0.745944i		−	0.0850083i
$78$	−16.6299	−	6.74449i	−1.88297	−	0.763663i
$79$	−15.0464	−	5.47645i	−1.69285	−	0.616149i	−0.697875	−	0.716220i	$-0.745871\pi$
$79$	−15.0464	−	5.47645i	−1.69285	−	0.616149i	−0.994980	+	0.100071i	$0.968093\pi$
$80$	−1.28810	−	6.22150i	−0.144014	−	0.695585i
$81$	−0.197510	−	1.12014i	−0.0219456	−	0.124460i
$82$	−0.848452	−	0.765981i	−0.0936958	−	0.0845885i
$83$	−2.11687	−	1.22217i	−0.232356	−	0.134151i	0.379302	−	0.925273i	$-0.376164\pi$
$83$	−2.11687	−	1.22217i	−0.232356	−	0.134151i	−0.611659	+	0.791122i	$0.709497\pi$
$84$	0.0819229	−	1.12869i	0.00893852	−	0.123150i
$85$	5.05152	−	6.02017i	0.547915	−	0.652979i
$86$	4.28694	+	0.917137i	0.462272	+	0.0988975i
$87$	10.0143	+	17.3453i	1.07364	+	1.85961i
$88$	8.33582	+	6.10695i	0.888602	+	0.651003i
$89$	10.2933	−	3.74647i	1.09109	−	0.397125i	0.267067	−	0.963678i	$-0.413945\pi$
$89$	10.2933	−	3.74647i	1.09109	−	0.397125i	0.824026	+	0.566553i	$0.191723\pi$
$90$	−6.46129	−	8.29263i	−0.681080	−	0.874120i
$91$	0.920696	+	0.162344i	0.0965152	+	0.0170182i
$92$	−7.89187	+	5.70199i	−0.822785	+	0.594473i
$93$	1.58985	+	1.89470i	0.164859	+	0.196472i
$94$	−0.519650	−	0.980442i	−0.0535978	−	0.101125i
$95$	−6.68213	−	1.81220i	−0.685572	−	0.185928i
$96$	11.9423	+	10.1559i	1.21885	+	1.03653i
$97$	13.9297	−	11.6884i	1.41435	−	1.18678i	0.460057	−	0.887889i	$-0.347829\pi$
$97$	13.9297	−	11.6884i	1.41435	−	1.18678i	0.954288	−	0.298887i	$-0.0966155\pi$
$98$	−1.35666	−	9.74657i	−0.137044	−	0.984552i
$99$	16.8384	+	2.96907i	1.69233	+	0.298403i
$100$	−4.52057	−	2.02701i	−0.452057	−	0.202701i
$101$	−4.43216	−	12.1772i	−0.441016	−	1.21168i	−0.938825	−	0.344395i	$-0.888084\pi$
$101$	−4.43216	−	12.1772i	−0.441016	−	1.21168i	0.497809	−	0.867287i	$-0.334138\pi$
$102$	−0.702338	+	19.3784i	−0.0695418	+	1.91874i
$103$	−6.61718	−	11.4613i	−0.652010	−	1.12931i	−0.982634	−	0.185552i	$-0.940593\pi$
$103$	−6.61718	−	11.4613i	−0.652010	−	1.12931i	0.330624	−	0.943762i	$-0.392741\pi$
$104$	−9.35178	+	8.95956i	−0.917017	+	0.878557i
$105$	0.688477	+	0.577701i	0.0671885	+	0.0563778i
$106$	3.76899	+	2.36205i	0.366076	+	0.229423i
$107$	−4.19003	−	2.41911i	−0.405065	−	0.233865i	0.283602	−	0.958942i	$-0.408471\pi$
$107$	−4.19003	−	2.41911i	−0.405065	−	0.233865i	−0.688667	+	0.725078i	$0.741804\pi$
$108$	9.02910	+	2.27656i	0.868826	+	0.219062i
$109$	−2.69420	+	0.475060i	−0.258057	+	0.0455025i	−0.301180	−	0.953567i	$-0.597380\pi$
$109$	−2.69420	+	0.475060i	−0.258057	+	0.0455025i	0.0431226	+	0.999070i	$0.486269\pi$
$110$	−7.80832	+	2.52568i	−0.744495	+	0.240814i
$111$	−28.5136	−	10.3781i	−2.70640	−	0.985047i
$112$	−0.719071	−	0.387224i	−0.0679459	−	0.0365893i
$113$	−3.32661			−0.312941			−0.156471	−	0.987683i	$-0.550012\pi$
$113$	−3.32661			−0.312941			−0.156471	+	0.987683i	$0.550012\pi$
$114$	15.7542	−	6.60649i	1.47552	−	0.618755i
$115$		−	7.73233i		−	0.721043i
$116$	14.3791	−	1.47291i	1.33507	−	0.136756i
$117$	−7.32926	+	20.1370i	−0.677590	+	1.86166i
$118$	−3.65683	−	11.3054i	−0.336639	−	1.04074i
$119$	−0.175421	−	0.994861i	−0.0160808	−	0.0911987i
$120$	−12.0922	+	2.96407i	−1.10386	+	0.270582i
$121$	1.17379	−	2.03307i	0.106709	−	0.184825i
$122$	−5.71181	−	3.57963i	−0.517123	−	0.324085i
$123$	−1.43981	+	1.71590i	−0.129823	+	0.154717i
$124$	1.71714	−	0.487475i	0.154203	−	0.0437766i
$125$	10.2852	−	5.93817i	0.919938	−	0.531126i
$126$	−1.35047	−	0.0489455i	−0.120309	−	0.00436041i
$127$	5.86776	−	2.13569i	0.520679	−	0.189512i	−0.0682926	−	0.997665i	$-0.521755\pi$
$127$	5.86776	−	2.13569i	0.520679	−	0.189512i	0.588972	+	0.808154i	$0.299533\pi$
$128$	10.2141	−	4.86537i	0.902809	−	0.430042i
$129$	1.49177	−	8.46025i	0.131343	−	0.744883i
$130$	−1.41800	−	10.1872i	−0.124367	−	0.893481i
$131$	8.11214	+	9.66767i	0.708761	+	0.844668i	0.993488	−	0.113940i	$-0.0363473\pi$
$131$	8.11214	+	9.66767i	0.708761	+	0.844668i	−0.284727	+	0.958609i	$0.591903\pi$
$132$	11.3676	−	16.7576i	0.989427	−	1.45856i
$133$	−0.730576	+	0.508261i	−0.0633489	+	0.0440718i
$134$	12.8111	−	6.79011i	1.10671	−	0.586576i
$135$	−5.66502	+	4.75351i	−0.487567	+	0.409117i
$136$	12.5536	+	6.18449i	1.07646	+	0.530315i
$137$	−0.765206	+	4.33970i	−0.0653759	+	0.370765i	0.934514	+	0.355926i	$0.115835\pi$
$137$	−0.765206	+	4.33970i	−0.0653759	+	0.370765i	−0.999890	+	0.0148389i	$0.995276\pi$
$138$	11.7264	+	15.0500i	0.998217	+	1.28114i
$139$	3.70316	+	10.1743i	0.314098	+	0.862977i	0.991818	+	0.127657i	$0.0407458\pi$
$139$	3.70316	+	10.1743i	0.314098	+	0.862977i	−0.677720	+	0.735320i	$0.737032\pi$
$140$	0.583717	−	0.282791i	0.0493331	−	0.0239002i
$141$	−1.88313	+	1.08722i	−0.158588	+	0.0915607i
$142$	3.20124	−	14.9634i	0.268642	−	1.25570i
$143$	12.8149	+	10.7530i	1.07164	+	0.899209i
$144$	11.6030	−	14.6905i	0.966920	−	1.22421i
$145$	−5.73968	+	9.94142i	−0.476655	+	0.825590i
$146$	−3.94164	−	3.55851i	−0.326213	−	0.294504i
$147$	−18.9905	+	3.34854i	−1.56631	+	0.276183i
$148$	−15.2536	+	15.7123i	−1.25384	+	1.29154i
$149$	0.574311	−	1.57791i	0.0470494	−	0.129267i	−0.913942	−	0.405844i	$-0.866978\pi$
$149$	0.574311	−	1.57791i	0.0470494	−	0.129267i	0.960992	+	0.276577i	$0.0891999\pi$
$150$	−3.64867	+	8.99654i	−0.297913	+	0.734564i
$151$	−11.0143			−0.896328			−0.448164	−	0.893951i	$-0.647922\pi$
$151$	−11.0143			−0.896328			−0.448164	+	0.893951i	$0.647922\pi$
$152$	0.301380	−	12.3251i	0.0244451	−	0.999701i
$153$	23.1555			1.87201
$154$	−0.396473	+	0.977586i	−0.0319487	+	0.0787761i
$155$	−0.484849	+	1.33211i	−0.0389440	+	0.106998i
$156$	18.2093	+	17.6778i	1.45791	+	1.41535i
$157$	−7.88911	+	1.39106i	−0.629619	+	0.111019i	−0.479347	−	0.877626i	$-0.659126\pi$
$157$	−7.88911	+	1.39106i	−0.629619	+	0.111019i	−0.150273	+	0.988645i	$0.548015\pi$
$158$	16.8081	+	15.1743i	1.33718	+	1.20721i
$159$	4.35812	−	7.54849i	0.345622	−	0.598635i
$160$	−1.61866	+	8.83812i	−0.127966	+	0.698715i
$161$	−0.761413	−	0.638901i	−0.0600077	−	0.0503525i
$162$	−0.336514	+	1.57295i	−0.0264391	+	0.123583i
$163$	11.5510	−	6.66896i	0.904742	−	0.522353i	0.0260067	−	0.999662i	$-0.491721\pi$
$163$	11.5510	−	6.66896i	0.904742	−	0.522353i	0.878736	+	0.477308i	$0.158388\pi$
$164$	0.704803	+	1.45480i	0.0550358	+	0.113601i
$165$	5.50027	+	15.1119i	0.428195	+	1.17646i
$166$	2.12463	+	2.72683i	0.164904	+	0.211643i
$167$	2.27213	−	12.8859i	0.175823	−	0.997142i	−0.761367	−	0.648322i	$-0.775471\pi$
$167$	2.27213	−	12.8859i	0.175823	−	0.997142i	0.937190	−	0.348820i	$-0.113418\pi$
$168$	−0.707269	+	1.43565i	−0.0545670	+	0.110763i
$169$	−6.10246	+	5.12057i	−0.469420	+	0.393890i
$170$	−9.81995	+	5.20473i	−0.753156	+	0.399185i
$171$	−8.56523	−	18.5145i	−0.655000	−	1.41584i
$172$	−5.13072	−	3.48047i	−0.391214	−	0.265383i
$173$	10.1395	+	12.0838i	0.770890	+	0.918711i	0.998484	−	0.0550448i	$-0.0175302\pi$
$173$	10.1395	+	12.0838i	0.770890	+	0.918711i	−0.227593	+	0.973756i	$0.573086\pi$
$174$	−3.90498	−	28.0542i	−0.296036	−	2.12679i
$175$	0.0878255	−	0.498083i	0.00663898	−	0.0376515i
$176$	−7.67851	−	12.4339i	−0.578790	−	0.937240i
$177$	−21.8799	+	7.96362i	−1.64459	+	0.598582i
$178$	−15.4811	−	0.561086i	−1.16035	−	0.0420552i
$179$	−0.307470	+	0.177518i	−0.0229814	+	0.0132683i	−0.511447	−	0.859315i	$-0.670890\pi$
$179$	−0.307470	+	0.177518i	−0.0229814	+	0.0132683i	0.488465	+	0.872583i	$0.337557\pi$
$180$	4.06017	+	14.3020i	0.302627	+	1.06601i
$181$	−10.5178	+	12.5346i	−0.781783	+	0.931693i	−0.999013	−	0.0444275i	$-0.985854\pi$
$181$	−10.5178	+	12.5346i	−0.781783	+	0.931693i	0.217229	+	0.976121i	$0.430298\pi$
$182$	−1.12032	−	0.702112i	−0.0830435	−	0.0520440i
$183$	−6.60463	+	11.4396i	−0.488228	+	0.845636i
$184$	13.3732	−	3.27808i	0.985886	−	0.241663i
$185$	−3.01999	−	17.1272i	−0.222034	−	1.25922i
$186$	−1.07650	−	3.32809i	−0.0789330	−	0.244027i
$187$	6.18242	−	16.9861i	0.452104	−	1.24214i
$188$	0.159910	+	1.56110i	0.0116626	+	0.113855i
$189$			0.950612i			0.0691468i
$190$	7.79397	+	5.92654i	0.565434	+	0.429956i
$191$	−12.1093			−0.876198			−0.438099	−	0.898927i	$-0.644348\pi$
$191$	−12.1093			−0.876198			−0.438099	+	0.898927i	$0.644348\pi$
$192$	−10.2528	−	19.6571i	−0.739936	−	1.41863i
$193$	20.6059	+	7.49993i	1.48325	+	0.539857i	0.951662	−	0.307149i	$-0.0993749\pi$
$193$	20.6059	+	7.49993i	1.48325	+	0.539857i	0.531584	+	0.847006i	$0.321597\pi$
$194$	−24.4678	+	7.91435i	−1.75668	+	0.568217i
$195$	−19.8491	+	3.49994i	−1.42143	+	0.250636i
$196$	−3.40240	+	13.4943i	−0.243028	+	0.963879i
$197$	15.4899	+	8.94311i	1.10361	+	0.637170i	0.937167	−	0.348881i	$-0.113438\pi$
$197$	15.4899	+	8.94311i	1.10361	+	0.637170i	0.166444	+	0.986051i	$0.446771\pi$
$198$	−20.4893	−	12.8408i	−1.45611	−	0.912554i
$199$	−12.2562	−	10.2842i	−0.868822	−	0.729028i	0.0950277	−	0.995475i	$-0.469706\pi$
$199$	−12.2562	−	10.2842i	−0.868822	−	0.729028i	−0.963850	+	0.266446i	$0.914150\pi$
$200$	4.84699	+	5.05918i	0.342734	+	0.357738i
$201$	−14.2064	−	24.6062i	−1.00204	−	1.73559i
$202$	−0.663777	+	18.3144i	−0.0467032	+	1.28860i
$203$	0.504691	+	1.38663i	0.0354224	+	0.0973221i
$204$	11.2201	−	25.0227i	0.785567	−	1.75194i
$205$	−1.26432	−	0.222933i	−0.0883038	−	0.0155703i
$206$	2.58031	+	18.5375i	0.179779	+	1.29157i
$207$	17.4527	−	14.6446i	1.21305	−	1.01787i
$208$	17.0179	−	6.77130i	1.17998	−	0.469505i
$209$	−15.8685	+	1.33985i	−1.09765	+	0.0926796i
$210$	−0.595222	−	1.12303i	−0.0410742	−	0.0774962i
$211$	−4.75798	−	5.67034i	−0.327553	−	0.390362i	0.576986	−	0.816754i	$-0.304229\pi$
$211$	−4.75798	−	5.67034i	−0.327553	−	0.390362i	−0.904538	+	0.426392i	$0.859784\pi$
$212$	−3.68395	−	5.09879i	−0.253014	−	0.350186i
$213$	−29.5302	−	5.20697i	−2.02338	−	0.356776i
$214$	4.20541	+	5.39735i	0.287476	+	0.368956i
$215$	4.62685	−	1.68403i	0.315548	−	0.114850i
$216$	−10.6230	−	7.78253i	−0.722800	−	0.529534i
$217$	0.0911131	+	0.157813i	0.00618516	+	0.0107130i
$218$	3.78334	+	0.809398i	0.256240	+	0.0548193i
$219$	−6.68890	+	7.97153i	−0.451994	+	0.538666i
$220$	11.5755	+	0.840174i	0.780420	+	0.0566445i
$221$	19.6199	+	11.3275i	1.31978	+	0.761973i
$222$	31.8521	+	28.7560i	2.13777	+	1.92998i
$223$	0.732617	+	4.15488i	0.0490596	+	0.278231i	0.999462	−	0.0327913i	$-0.0104397\pi$
$223$	0.732617	+	4.15488i	0.0490596	+	0.278231i	−0.950403	+	0.311022i	$0.899329\pi$
$224$	0.736556	+	0.889661i	0.0492132	+	0.0594430i
$225$	10.8938	+	3.96502i	0.726254	+	0.264335i
$226$	4.35964	+	1.76811i	0.289999	+	0.117613i
$227$		−	16.7722i		−	1.11321i	−0.830778	−	0.556604i	$-0.812104\pi$
$227$		−	16.7722i		−	1.11321i	0.830778	−	0.556604i	$-0.187896\pi$
$228$	−24.1578	+	0.284592i	−1.59989	+	0.0188475i
$229$		−	10.3598i		−	0.684595i	−0.939592	−	0.342297i	$-0.888795\pi$
$229$		−	10.3598i		−	0.684595i	0.939592	−	0.342297i	$-0.111205\pi$
$230$	−4.10977	+	10.1335i	−0.270990	+	0.668182i
$231$	1.94256	+	0.707033i	0.127811	+	0.0465193i
$232$	−19.6272	−	5.71228i	−1.28859	−	0.375029i
$233$	3.15154	+	17.8733i	0.206464	+	1.17092i	0.895119	+	0.445828i	$0.147091\pi$
$233$	3.15154	+	17.8733i	0.206464	+	1.17092i	−0.688654	+	0.725090i	$0.741798\pi$
$234$	20.3082	−	22.4947i	1.32759	−	1.47052i
$235$	−1.07931	−	0.623141i	−0.0704066	−	0.0406493i
$236$	−1.21645	+	16.7597i	−0.0791844	+	1.09096i
$237$	28.5231	−	33.9925i	1.85277	−	2.20805i
$238$	−0.298879	+	1.39704i	−0.0193734	+	0.0905564i
$239$	13.8262	+	23.9477i	0.894344	+	1.54905i	0.834614	+	0.550835i	$0.185691\pi$
$239$	13.8262	+	23.9477i	0.894344	+	1.54905i	0.0597299	+	0.998215i	$0.480976\pi$
$240$	17.4227	+	2.54254i	1.12463	+	0.164120i
$241$	−11.2012	+	4.07690i	−0.721533	+	0.262616i	−0.676576	−	0.736373i	$-0.736537\pi$
$241$	−11.2012	+	4.07690i	−0.721533	+	0.262616i	−0.0449564	+	0.998989i	$0.514315\pi$
$242$	−2.61889	+	2.04053i	−0.168348	+	0.131170i
$243$	16.8595	+	2.97279i	1.08154	+	0.190705i
$244$	5.58293	+	7.72709i	0.357411	+	0.494676i
$245$	−7.10429	−	8.46656i	−0.453876	−	0.540909i
$246$	2.79893	−	1.48348i	0.178453	−	0.0945831i
$247$	1.79980	−	19.8776i	0.114518	−	1.26478i
$248$	−2.50946	−	0.273814i	−0.159351	−	0.0173872i
$249$	5.18917	−	4.35423i	0.328850	−	0.275938i
$250$	−16.6353	+	2.31554i	−1.05211	+	0.146447i
$251$	−0.417587	−	0.0736319i	−0.0263579	−	0.00464760i	0.160454	−	0.987043i	$-0.448704\pi$
$251$	−0.417587	−	0.0736319i	−0.0263579	−	0.00464760i	−0.186812	+	0.982396i	$0.559815\pi$
$252$	1.74382	+	0.781924i	0.109850	+	0.0492566i
$253$	−6.08295	−	16.7128i	−0.382432	−	1.05072i
$254$	−8.82503	−	0.319849i	−0.553732	−	0.0200691i
$255$	10.8895	+	18.8611i	0.681924	+	1.18113i
$256$	−15.9719	+	0.947375i	−0.998245	+	0.0592109i
$257$	−0.962976	−	0.808033i	−0.0600688	−	0.0504037i	0.612259	−	0.790657i	$-0.290261\pi$
$257$	−0.962976	−	0.808033i	−0.0600688	−	0.0504037i	−0.672328	+	0.740254i	$0.734705\pi$
$258$	−6.45168	+	10.2946i	−0.401664	+	0.640912i
$259$	−1.93607	−	1.11779i	−0.120302	−	0.0694561i
$260$	−3.55623	+	14.1044i	−0.220548	+	0.874719i
$261$	−33.3096	+	5.87337i	−2.06181	+	0.363553i
$262$	−5.49282	−	16.9815i	−0.339348	−	1.04912i
$263$	11.5460	+	4.20239i	0.711955	+	0.259130i	0.672507	−	0.740091i	$-0.265218\pi$
$263$	11.5460	+	4.20239i	0.711955	+	0.259130i	0.0394484	+	0.999222i	$0.487440\pi$
$264$	−23.8044	+	15.9194i	−1.46506	+	0.979772i
$265$	4.99571			0.306884
$266$	1.22759	−	0.277789i	0.0752683	−	0.0170323i
$267$			30.3565i			1.85779i
$268$	−20.3984	+	2.08949i	−1.24603	+	0.127636i
$269$	1.29428	−	3.55600i	0.0789135	−	0.216813i	−0.893962	−	0.448143i	$-0.852086\pi$
$269$	1.29428	−	3.55600i	0.0789135	−	0.216813i	0.972875	+	0.231330i	$0.0743077\pi$
$270$	9.95072	−	3.21866i	0.605582	−	0.195881i
$271$	2.70419	+	15.3362i	0.164268	+	0.931609i	0.949816	+	0.312809i	$0.101270\pi$
$271$	2.70419	+	15.3362i	0.164268	+	0.931609i	−0.785548	+	0.618800i	$0.787619\pi$
$272$	−13.1648	−	14.7773i	−0.798234	−	0.896004i
$273$	−1.29544	+	2.24376i	−0.0784034	+	0.135799i
$274$	3.30940	−	5.28061i	0.199928	−	0.319014i
$275$	5.81720	−	6.93267i	0.350791	−	0.418056i
$276$	−7.36867	−	25.9562i	−0.443542	−	1.56238i
$277$	−13.8243	+	7.98144i	−0.830620	+	0.479558i	−0.854065	−	0.520167i	$-0.825870\pi$
$277$	−13.8243	+	7.98144i	−0.830620	+	0.479558i	0.0234452	+	0.999725i	$0.492536\pi$
$278$	0.554600	−	15.3021i	0.0332627	−	0.917758i
$279$	−3.92501	+	1.42859i	−0.234984	+	0.0855272i
$280$	−0.915286	+	0.0603592i	−0.0546988	+	0.00360715i
$281$	−0.932665	+	5.28941i	−0.0556381	+	0.315540i	−0.999907	−	0.0136355i	$-0.995660\pi$
$281$	−0.932665	+	5.28941i	−0.0556381	+	0.315540i	0.944269	+	0.329175i	$0.106771\pi$
$282$	3.04577	−	0.423953i	0.181373	−	0.0252460i
$283$	4.92811	+	5.87309i	0.292946	+	0.349119i	0.892364	−	0.451317i	$-0.149046\pi$
$283$	4.92811	+	5.87309i	0.292946	+	0.349119i	−0.599418	+	0.800436i	$0.704601\pi$
$284$	−12.1485	+	17.9086i	−0.720879	+	1.06268i
$285$	11.0528	−	15.6836i	0.654712	−	0.929019i
$286$	−11.0791	−	20.9033i	−0.655121	−	1.23604i
$287$	−0.126420	+	0.106079i	−0.00746232	+	0.00626163i
$288$	−23.0143	+	13.0854i	−1.35613	+	0.771065i
$289$	1.29889	−	7.36636i	0.0764052	−	0.433315i
$290$	12.8060	−	9.97791i	0.751993	−	0.585923i
$291$	17.2354	+	47.3538i	1.01036	+	2.77593i
$292$	3.27429	+	6.75856i	0.191614	+	0.395515i
$293$	−18.7492	+	10.8248i	−1.09534	+	0.632393i	−0.934992	−	0.354668i	$-0.884594\pi$
$293$	−18.7492	+	10.8248i	−1.09534	+	0.632393i	−0.160345	+	0.987061i	$0.551261\pi$
$294$	26.6675	+	5.70518i	1.55528	+	0.332733i
$295$	−10.2230	−	8.57815i	−0.595209	−	0.499439i
$296$	28.3415	−	12.4841i	1.64732	−	0.725624i
$297$	−8.50491	+	14.7309i	−0.493505	+	0.854775i
$298$	−1.59132	+	1.76265i	−0.0921827	+	0.102108i
$299$	21.9519	−	3.87072i	1.26951	−	0.223849i
$300$	9.56342	−	9.85099i	0.552144	−	0.568747i
$301$	0.216475	−	0.594759i	0.0124774	−	0.0342813i
$302$	14.4346	+	5.85414i	0.830616	+	0.336868i
$303$	35.9124			2.06311
$304$	−6.94585	+	15.9923i	−0.398372	+	0.917224i
$305$	−7.57088			−0.433507
$306$	−30.3461	−	12.3073i	−1.73477	−	0.703560i
$307$	0.759467	−	2.08662i	0.0433450	−	0.119090i	−0.916132	−	0.400878i	$-0.868705\pi$
$307$	0.759467	−	2.08662i	0.0433450	−	0.119090i	0.959477	+	0.281788i	$0.0909275\pi$
$308$	1.03918	−	1.07043i	0.0592130	−	0.0609936i
$309$	36.1190	−	6.36876i	2.05474	−	0.362306i
$310$	1.34344	−	1.48808i	0.0763021	−	0.0845173i
$311$	−2.03223	+	3.51993i	−0.115237	+	0.199597i	−0.917875	−	0.396871i	$-0.870096\pi$
$311$	−2.03223	+	3.51993i	−0.115237	+	0.199597i	0.802637	+	0.596467i	$0.203430\pi$
$312$	−14.4682	−	32.8457i	−0.819098	−	1.85952i
$313$	1.23413	+	1.03555i	0.0697569	+	0.0585330i	0.676999	−	0.735984i	$-0.263280\pi$
$313$	1.23413	+	1.03555i	0.0697569	+	0.0585330i	−0.607243	+	0.794516i	$0.707724\pi$
$314$	11.0783	+	2.37007i	0.625185	+	0.133751i
$315$	−1.31442	+	0.758879i	−0.0740590	+	0.0427580i
$316$	−13.9624	−	28.8201i	−0.785444	−	1.62126i
$317$	−1.61405	−	4.43456i	−0.0906539	−	0.249070i	0.886077	−	0.463538i	$-0.153420\pi$
$317$	−1.61405	−	4.43456i	−0.0906539	−	0.249070i	−0.976731	+	0.214469i	$0.931198\pi$
$318$	−9.72354	+	7.57620i	−0.545269	+	0.424852i
$319$	−4.58501	+	26.0029i	−0.256711	+	1.45588i
$320$	6.81882	−	10.7223i	0.381184	−	0.599397i
$321$	10.2712	−	8.61857i	0.573283	−	0.481042i
$322$	0.658279	+	1.24200i	0.0366844	+	0.0692138i
$323$	−20.8486	+	5.51868i	−1.16005	+	0.307068i
$324$	1.27705	−	1.88255i	0.0709471	−	0.104586i
$325$	7.29076	+	8.68879i	0.404418	+	0.481967i
$326$	−18.6826	+	2.60050i	−1.03473	+	0.144028i
$327$	1.31653	−	7.46639i	0.0728041	−	0.412893i
$328$	−0.150434	−	2.28118i	−0.00830631	−	0.125957i
$329$	−0.150542	+	0.0547929i	−0.00829966	+	0.00302083i
$330$	0.823741	−	22.7280i	0.0453455	−	1.25114i
$331$	−1.63910	+	0.946332i	−0.0900929	+	0.0520151i	−0.544370	−	0.838845i	$-0.683231\pi$
$331$	−1.63910	+	0.946332i	−0.0900929	+	0.0520151i	0.454277	+	0.890861i	$0.349898\pi$
$332$	−1.33509	−	4.70285i	−0.0732724	−	0.258103i
$333$	32.9383	−	39.2544i	1.80501	−	2.15113i
$334$	−9.82665	+	15.6798i	−0.537690	+	0.857960i
$335$	8.14240	−	14.1030i	0.444867	−	0.770532i
$336$	1.68996	−	1.50555i	0.0921946	−	0.0821345i
$337$	−1.61004	−	9.13096i	−0.0877042	−	0.497395i	−0.996740	−	0.0806777i	$-0.974292\pi$
$337$	−1.61004	−	9.13096i	−0.0877042	−	0.497395i	0.909036	−	0.416717i	$-0.136820\pi$
$338$	10.7191	−	3.46720i	0.583042	−	0.188591i
$339$	3.15308	−	8.66302i	0.171252	−	0.470511i
$340$	15.6357	−	1.60163i	0.847967	−	0.0868605i
$341$			3.26067i			0.176575i
$342$	1.38447	+	28.8164i	0.0748634	+	1.55821i
$343$	−2.84995			−0.153883
$344$	4.87410	+	7.28828i	0.262794	+	0.392958i
$345$	20.1362	+	7.32898i	1.08410	+	0.394579i
$346$	−6.86556	−	21.2254i	−0.369095	−	1.14108i
$347$	−18.1223	+	3.19545i	−0.972855	+	0.171541i	−0.637415	−	0.770521i	$-0.719996\pi$
$347$	−18.1223	+	3.19545i	−0.972855	+	0.171541i	−0.335440	+	0.942061i	$0.608885\pi$
$348$	−9.79336	+	38.8416i	−0.524979	+	2.08213i
$349$	−7.35641	−	4.24723i	−0.393780	−	0.227349i	0.290017	−	0.957022i	$-0.406339\pi$
$349$	−7.35641	−	4.24723i	−0.393780	−	0.227349i	−0.683797	+	0.729673i	$0.739672\pi$
$350$	−0.379832	+	0.606076i	−0.0203029	+	0.0323961i
$351$	−16.3310	−	13.7033i	−0.871683	−	0.731429i
$352$	3.45427	+	20.3762i	0.184113	+	1.08606i
$353$	−6.61918	−	11.4648i	−0.352303	−	0.610208i	0.634349	−	0.773047i	$-0.281268\pi$
$353$	−6.61918	−	11.4648i	−0.352303	−	0.610208i	−0.986653	+	0.162839i	$0.947935\pi$
$354$	32.9070	+	1.19266i	1.74899	+	0.0633893i
$355$	−5.87806	−	16.1498i	−0.311975	−	0.857145i
$356$	19.9903	+	8.96359i	1.05948	+	0.475069i
$357$	2.75704	+	0.486141i	0.145918	+	0.0257293i
$358$	0.497302	−	0.0692215i	0.0262832	−	0.00365847i
$359$	−1.01767	+	0.853928i	−0.0537106	+	0.0450686i	−0.669248	−	0.743039i	$-0.733384\pi$
$359$	−1.01767	+	0.853928i	−0.0537106	+	0.0450686i	0.615537	+	0.788108i	$0.288939\pi$
$360$	2.28059	−	20.9013i	0.120198	−	1.10159i
$361$	12.1245	+	14.6286i	0.638131	+	0.769927i
$362$	20.4462	−	10.8368i	1.07463	−	0.569571i
$363$	4.18187	+	4.98376i	0.219491	+	0.261580i
$364$	1.09504	+	1.51560i	0.0573957	+	0.0794389i
$365$	−5.87363	−	1.03568i	−0.307440	−	0.0542100i
$366$	14.7358	−	11.4815i	0.770252	−	0.600150i
$367$	16.6617	−	6.06437i	0.869735	−	0.316558i	0.131675	−	0.991293i	$-0.457964\pi$
$367$	16.6617	−	6.06437i	0.869735	−	0.316558i	0.738060	+	0.674735i	$0.235742\pi$
$368$	−19.2684	−	2.81189i	−1.00443	−	0.146580i
$369$	−1.89136	−	3.27593i	−0.0984603	−	0.170538i
$370$	−5.14540	+	24.0509i	−0.267496	+	1.25035i
$371$	0.412782	−	0.491934i	0.0214306	−	0.0255400i
$372$	−0.358101	+	4.93374i	−0.0185667	+	0.255803i
$373$	−12.4976	−	7.21548i	−0.647100	−	0.373604i	0.140244	−	0.990117i	$-0.455211\pi$
$373$	−12.4976	−	7.21548i	−0.647100	−	0.373604i	−0.787344	+	0.616513i	$0.788545\pi$
$374$	−17.1305	+	18.9748i	−0.885796	+	0.981166i
$375$	5.71524	+	32.4127i	0.295134	+	1.67379i
$376$	0.620166	−	2.13087i	0.0319826	−	0.109891i
$377$	−31.0967	−	11.3183i	−1.60156	−	0.582921i
$378$	0.505255	−	1.24581i	0.0259875	−	0.0640776i
$379$		−	17.6613i		−	0.907202i	−0.891205	−	0.453601i	$-0.850139\pi$
$379$		−	17.6613i		−	0.907202i	0.891205	−	0.453601i	$-0.149861\pi$
$380$	−7.06428	−	11.9095i	−0.362390	−	0.610943i
$381$			17.3048i			0.886554i
$382$	15.8697	+	6.43616i	0.811963	+	0.329303i
$383$	22.6022	+	8.22654i	1.15492	+	0.420357i	0.847280	−	0.531146i	$-0.178238\pi$
$383$	22.6022	+	8.22654i	1.15492	+	0.420357i	0.307640	+	0.951503i	$0.400461\pi$
$384$	2.98887	+	31.2107i	0.152525	+	1.59272i
$385$	0.205743	+	1.16683i	0.0104857	+	0.0594671i
$386$	−23.0185	−	20.7811i	−1.17161	−	1.05773i
$387$	12.5640	+	7.25385i	0.638666	+	0.368734i
$388$	36.2724	+	2.63273i	1.84145	+	0.133657i
$389$	8.69047	−	10.3569i	0.440624	−	0.525116i	−0.499332	−	0.866411i	$-0.666421\pi$
$389$	8.69047	−	10.3569i	0.440624	−	0.525116i	0.939956	+	0.341295i	$0.110866\pi$
$390$	27.8732	+	5.96313i	1.41142	+	0.301955i
$391$	−12.0431	−	20.8592i	−0.609044	−	1.05489i
$392$	11.6313	−	15.8764i	0.587467	−	0.801877i
$393$	−32.8651	+	11.9619i	−1.65783	+	0.603399i
$394$	−15.5468	−	19.9532i	−0.783235	−	1.00523i
$395$	25.0466	+	4.41638i	1.26023	+	0.222212i
$396$	20.0270	+	27.7184i	1.00639	+	1.39290i
$397$	16.9216	+	20.1664i	0.849270	+	1.01212i	0.999724	+	0.0235033i	$0.00748203\pi$
$397$	16.9216	+	20.1664i	0.849270	+	1.01212i	−0.150454	+	0.988617i	$0.548074\pi$
$398$	10.5961	+	19.9921i	0.531136	+	1.00211i
$399$	−0.631126	−	2.38428i	−0.0315958	−	0.119363i
$400$	−3.66317	−	9.20643i	−0.183159	−	0.460322i
$401$	−0.0988340	+	0.0829316i	−0.00493553	+	0.00414140i	−0.645252	−	0.763970i	$-0.723248\pi$
$401$	−0.0988340	+	0.0829316i	−0.00493553	+	0.00414140i	0.640317	+	0.768111i	$0.278803\pi$
$402$	5.53966	+	39.7981i	0.276293	+	1.98495i
$403$	−4.02455	−	0.709637i	−0.200477	−	0.0353495i
$404$	10.6041	−	23.6489i	0.527574	−	1.17658i
$405$	0.617903	+	1.69767i	0.0307038	+	0.0843581i
$406$	0.0755845	−	2.08547i	0.00375119	−	0.103500i
$407$	−20.0012	−	34.6432i	−0.991425	−	1.71720i
$408$	−28.0041	+	26.8296i	−1.38641	+	1.32826i
$409$	−7.95580	−	6.67571i	−0.393389	−	0.330092i	0.424543	−	0.905408i	$-0.360435\pi$
$409$	−7.95580	−	6.67571i	−0.393389	−	0.330092i	−0.817932	+	0.575315i	$0.804879\pi$
$410$	1.53844	+	0.964154i	0.0759783	+	0.0476162i
$411$	−10.5760	−	6.10604i	−0.521674	−	0.301189i
$412$	6.47119	−	25.6655i	0.318813	−	1.26445i
$413$	−1.68940	+	0.297888i	−0.0831302	+	0.0146581i
$414$	−30.6561	+	9.91602i	−1.50667	+	0.487346i
$415$	3.64836	+	1.32789i	0.179091	+	0.0651837i
$416$	−25.9015	−	0.171075i	−1.26993	−	0.00838765i
$417$	−30.0056			−1.46938
$418$	21.5084	+	6.67826i	1.05201	+	0.326645i
$419$			9.91942i			0.484595i	0.970202	+	0.242298i	$0.0779010\pi$
$419$			9.91942i			0.484595i	−0.970202	+	0.242298i	$0.922099\pi$
$420$	0.183165	+	1.78813i	0.00893754	+	0.0872518i
$421$	−0.207787	+	0.570890i	−0.0101269	+	0.0278235i	−0.944653	−	0.328071i	$-0.893602\pi$
$421$	−0.207787	+	0.570890i	−0.0101269	+	0.0278235i	0.934526	+	0.355894i	$0.115824\pi$
$422$	3.22168	+	9.96006i	0.156829	+	0.484848i
$423$	−0.637656	−	3.61632i	−0.0310039	−	0.175832i
$424$	2.11791	+	8.64018i	0.102855	+	0.419604i
$425$	6.12803	−	10.6141i	0.297253	−	0.514858i
$426$	35.9328	+	22.5194i	1.74095	+	1.09107i
$427$	−0.625561	+	0.745515i	−0.0302730	+	0.0360780i
$428$	−2.64261	−	9.30862i	−0.127735	−	0.449949i
$429$	−40.1489	+	23.1800i	−1.93841	+	1.11914i
$430$	−6.95872	−	0.252208i	−0.335579	−	0.0121625i
$431$	−22.4908	+	8.18597i	−1.08334	+	0.394305i	−0.821151	−	0.570711i	$-0.806668\pi$
$431$	−22.4908	+	8.18597i	−1.08334	+	0.394305i	−0.262192	+	0.965016i	$0.584445\pi$
$432$	9.78529	+	15.8454i	0.470795	+	0.762364i
$433$	−6.86261	+	38.9198i	−0.329796	+	1.87037i	0.143776	+	0.989610i	$0.454076\pi$
$433$	−6.86261	+	38.9198i	−0.329796	+	1.87037i	−0.473572	+	0.880755i	$0.657036\pi$
$434$	−0.0355287	−	0.255246i	−0.00170543	−	0.0122522i
$435$	−20.4488	−	24.3699i	−0.980443	−	1.16845i
$436$	−4.52800	−	3.07161i	−0.216852	−	0.147103i
$437$	−12.2237	+	17.3451i	−0.584740	+	0.829730i
$438$	13.0030	−	6.89178i	0.621305	−	0.329302i
$439$	22.0869	−	18.5331i	1.05415	−	0.884539i	0.0606279	−	0.998160i	$-0.480690\pi$
$439$	22.0869	−	18.5331i	1.05415	−	0.884539i	0.993524	+	0.113622i	$0.0362453\pi$
$440$	−14.7235	−	7.25352i	−0.701917	−	0.345798i
$441$	5.65487	−	32.0704i	0.269280	−	1.52716i
$442$	−19.6919	−	25.2732i	−0.936647	−	1.20212i
$443$	−13.5556	−	37.2436i	−0.644045	−	1.76950i	−0.638632	−	0.769512i	$-0.720499\pi$
$443$	−13.5556	−	37.2436i	−0.644045	−	1.76950i	−0.00541262	−	0.999985i	$-0.501723\pi$
$444$	−26.4593	−	54.6154i	−1.25570	−	2.59193i
$445$	−15.0678	+	8.69941i	−0.714284	+	0.412392i
$446$	1.24822	−	5.83450i	0.0591049	−	0.276272i
$447$	3.56477	+	2.99119i	0.168608	+	0.141479i
$448$	−0.492423	−	1.55742i	−0.0232648	−	0.0735810i
$449$	11.7380	−	20.3307i	0.553949	−	0.959467i	−0.444036	−	0.896009i	$-0.646454\pi$
$449$	11.7380	−	20.3307i	0.553949	−	0.959467i	0.997985	−	0.0634581i	$-0.0202129\pi$
$450$	−12.1693	−	10.9864i	−0.573666	−	0.517905i
$451$	−2.90810	+	0.512776i	−0.136937	+	0.0241457i
$452$	−4.77370	−	4.63434i	−0.224536	−	0.217981i
$453$	10.4397	−	28.6829i	0.490500	−	1.34764i
$454$	−8.91450	+	21.9805i	−0.418378	+	1.03160i
$455$	−1.48496			−0.0696159
$456$	31.8110	+	12.4671i	1.48968	+	0.583823i
$457$	−22.4105			−1.04832			−0.524160	−	0.851620i	$-0.675621\pi$
$457$	−22.4105			−1.04832			−0.524160	+	0.851620i	$0.675621\pi$
$458$	−5.50629	+	13.5769i	−0.257292	+	0.634406i
$459$	−7.87872	+	21.6466i	−0.367747	+	1.01038i
$460$	10.7720	−	11.0959i	0.502247	−	0.517350i
$461$	−12.8999	+	2.27461i	−0.600810	+	0.105939i	−0.465777	−	0.884902i	$-0.654225\pi$
$461$	−12.8999	+	2.27461i	−0.600810	+	0.105939i	−0.135033	+	0.990841i	$0.543114\pi$
$462$	−2.17000	−	1.95907i	−0.100957	−	0.0911442i
$463$	3.91978	−	6.78926i	0.182168	−	0.315524i	−0.760451	−	0.649396i	$-0.775022\pi$
$463$	3.91978	−	6.78926i	0.182168	−	0.315524i	0.942618	+	0.333872i	$0.108355\pi$
$464$	22.6860	+	17.9181i	1.05317	+	0.831827i
$465$	−3.00947	−	2.52525i	−0.139561	−	0.117106i
$466$	5.36954	−	25.0986i	0.248739	−	1.16267i
$467$	−13.9158	+	8.03429i	−0.643946	+	0.371783i	−0.786133	−	0.618057i	$-0.787920\pi$
$467$	−13.9158	+	8.03429i	−0.643946	+	0.371783i	0.142187	+	0.989840i	$0.454587\pi$
$468$	−38.5706	+	18.6862i	−1.78293	+	0.863768i
$469$	−0.715962	−	1.96709i	−0.0330600	−	0.0908317i
$470$	1.08327	+	1.39031i	0.0499677	+	0.0641302i
$471$	3.85503	−	21.8630i	0.177631	−	1.00739i
$472$	10.5021	−	21.3176i	0.483397	−	0.981223i
$473$	8.67572	−	7.27979i	0.398910	−	0.334725i
$474$	−55.4477	+	29.3882i	−2.54680	+	1.34984i
$475$	−10.7535	−	0.973665i	−0.493404	−	0.0446748i
$476$	1.13422	−	1.67201i	0.0519870	−	0.0766364i
$477$	9.46159	+	11.2759i	0.433217	+	0.516287i
$478$	−5.39141	−	38.7330i	−0.246597	−	1.77161i
$479$	−4.09584	+	23.2287i	−0.187144	+	1.06135i	0.736026	+	0.676953i	$0.236700\pi$
$479$	−4.09584	+	23.2287i	−0.187144	+	1.06135i	−0.923170	+	0.384392i	$0.874411\pi$
$480$	−21.4816	−	12.5923i	−0.980498	−	0.574759i
$481$	47.1120	−	17.1473i	2.14812	−	0.781852i
$482$	16.8465	+	0.610573i	0.767335	+	0.0278108i
$483$	2.38549	−	1.37727i	0.108544	−	0.0626677i
$484$	4.51670	−	1.28224i	0.205304	−	0.0582836i
$485$	−18.5654	+	22.1254i	−0.843011	+	1.00466i
$486$	−20.5150	−	12.8569i	−0.930578	−	0.583200i
$487$	−19.0235	+	32.9496i	−0.862036	+	1.49309i	0.00792444	+	0.999969i	$0.497478\pi$
$487$	−19.0235	+	32.9496i	−0.862036	+	1.49309i	−0.869960	+	0.493122i	$0.835856\pi$
$488$	−3.20964	−	13.0940i	−0.145293	−	0.592737i
$489$	6.41859	+	36.4016i	0.290259	+	1.64614i
$490$	4.81040	+	14.8717i	0.217312	+	0.671835i
$491$	−10.5176	+	28.8969i	−0.474654	+	1.30410i	0.439322	+	0.898330i	$0.355219\pi$
$491$	−10.5176	+	28.8969i	−0.474654	+	1.30410i	−0.913975	+	0.405770i	$0.867003\pi$
$492$	−4.45657	+	0.456504i	−0.200918	+	0.0205808i
$493$			35.7581i			1.61046i
$494$	−12.9237	+	25.0937i	−0.581467	+	1.12902i
$495$	−27.1581			−1.22067
$496$	3.14321	+	1.69264i	0.141134	+	0.0760016i
$497$	−2.07599	−	0.755597i	−0.0931207	−	0.0338932i
$498$	−9.11489	+	2.94830i	−0.408448	+	0.132117i
$499$	9.57801	−	1.68886i	0.428771	−	0.0756038i	0.0449016	−	0.998991i	$-0.485703\pi$
$499$	9.57801	−	1.68886i	0.428771	−	0.0756038i	0.383869	+	0.923388i	$0.374591\pi$
$500$	23.0319	+	5.80717i	1.03002	+	0.259704i
$501$	31.4033	+	18.1307i	1.40300	+	0.810021i
$502$	0.508127	+	0.318447i	0.0226788	+	0.0142130i
$503$	4.00231	+	3.35834i	0.178454	+	0.149741i	0.727639	−	0.685960i	$-0.240617\pi$
$503$	4.00231	+	3.35834i	0.178454	+	0.149741i	−0.549185	+	0.835701i	$0.685062\pi$
$504$	−1.86974	−	1.95159i	−0.0832847	−	0.0869306i
$505$	10.2916	+	17.8256i	0.457970	+	0.793227i
$506$	−0.911006	+	25.1358i	−0.0404992	+	1.11742i
$507$	−7.55064	−	20.7452i	−0.335336	−	0.921328i
$508$	11.3955	+	5.10972i	0.505594	+	0.226707i
$509$	3.76430	+	0.663747i	0.166849	+	0.0294201i	0.256449	−	0.966558i	$-0.417448\pi$
$509$	3.76430	+	0.663747i	0.166849	+	0.0294201i	−0.0895993	+	0.995978i	$0.528559\pi$
$510$	−4.24624	−	30.5059i	−0.188027	−	1.35083i
$511$	−0.587307	+	0.492809i	−0.0259809	+	0.0218006i
$512$	21.4353	+	7.24760i	0.947316	+	0.320302i
$513$	20.2224	−	1.70747i	0.892840	−	0.0753868i
$514$	0.832540	+	1.57078i	0.0367218	+	0.0692843i
$515$	13.5120	+	16.1030i	0.595410	+	0.709582i
$516$	13.9268	−	10.0623i	0.613092	−	0.442968i
$517$	−2.82306	−	0.497782i	−0.124158	−	0.0218924i
$518$	1.94318	+	2.49394i	0.0853783	+	0.109577i
$519$	−41.0786	+	14.9514i	−1.80315	+	0.656293i
$520$	12.1571	−	16.5942i	0.533126	−	0.727703i
$521$	−8.93745	−	15.4801i	−0.391557	−	0.678196i	0.601098	−	0.799175i	$-0.294730\pi$
$521$	−8.93745	−	15.4801i	−0.391557	−	0.678196i	−0.992655	+	0.120979i	$0.961397\pi$
$522$	46.7751	+	10.0069i	2.04729	+	0.437992i
$523$	−8.22218	+	9.79881i	−0.359531	+	0.428472i	−0.915243	−	0.402903i	$-0.868001\pi$
$523$	−8.22218	+	9.79881i	−0.359531	+	0.428472i	0.555712	+	0.831375i	$0.312446\pi$
$524$	−1.82720	+	25.1743i	−0.0798217	+	1.09974i
$525$	1.21384	+	0.700812i	0.0529764	+	0.0305860i
$526$	−12.8978	−	11.6441i	−0.562371	−	0.507708i
$527$	0.766800	+	4.34874i	0.0334023	+	0.189434i
$528$	39.6578	−	8.21076i	1.72588	−	0.357327i
$529$	−0.656453	−	0.238929i	−0.0285414	−	0.0103882i
$530$	−6.54706	−	2.65525i	−0.284386	−	0.115337i
$531$		−	39.3211i		−	1.70639i
$532$	−1.75644	−	0.288418i	−0.0761515	−	0.0125045i
$533$		−	3.70097i		−	0.160307i
$534$	16.1347	−	39.7833i	0.698215	−	1.72159i
$535$	7.22140	+	2.62837i	0.312208	+	0.113634i
$536$	27.8434	+	8.10352i	1.20265	+	0.350019i
$537$	−0.170854	−	0.968959i	−0.00737288	−	0.0418137i
$538$	−3.58623	+	3.97234i	−0.154613	+	0.171260i
$539$	−22.0159	−	12.7109i	−0.948291	−	0.547496i
$540$	−14.7515	−	1.07070i	−0.634804	−	0.0460754i
$541$	−15.4165	+	18.3727i	−0.662807	+	0.789902i	−0.987786	−	0.155819i	$-0.950198\pi$
$541$	−15.4165	+	18.3727i	−0.662807	+	0.789902i	0.324979	+	0.945721i	$0.394643\pi$
$542$	4.60735	−	21.5359i	0.197902	−	0.925048i
$543$	−22.6730	−	39.2708i	−0.972993	−	1.68527i
$544$	9.39874	+	26.3633i	0.402968	+	1.13032i
$545$	4.08332	−	1.48621i	0.174910	−	0.0636620i
$546$	2.89029	−	2.25200i	0.123693	−	0.0963766i
$547$	37.5732	+	6.62517i	1.60651	+	0.283272i	0.903720	−	0.428123i	$-0.140825\pi$
$547$	37.5732	+	6.62517i	1.60651	+	0.283272i	0.702793	+	0.711395i	$0.251936\pi$
$548$	−7.14376	+	5.16146i	−0.305166	+	0.220487i
$549$	−14.3388	−	17.0883i	−0.611966	−	0.729312i
$550$	−11.3084	+	5.99364i	−0.482192	+	0.255570i
$551$	28.5912	−	13.2269i	1.21803	−	0.563487i
$552$	−4.13897	+	37.9330i	−0.176166	+	1.61454i
$553$	2.50442	−	2.10145i	0.106499	−	0.0893629i
$554$	22.3594	−	3.11229i	0.949958	−	0.132229i
$555$	47.4643	+	8.36925i	2.01475	+	0.355255i
$556$	−8.85997	+	19.7592i	−0.375746	+	0.837975i
$557$	−11.1261	−	30.5688i	−0.471430	−	1.29524i	−0.916603	−	0.399798i	$-0.869080\pi$
$557$	−11.1261	−	30.5688i	−0.471430	−	1.29524i	0.445173	−	0.895444i	$-0.353142\pi$
$558$	5.90316	+	0.213950i	0.249901	+	0.00905725i
$559$	7.09709	+	12.2925i	0.300175	+	0.519918i
$560$	1.23160	+	0.407377i	0.0520444	+	0.0172148i
$561$	38.3745	+	32.2000i	1.62017	+	1.35949i
$562$	4.03364	−	6.43624i	0.170149	−	0.271496i
$563$	13.6285	+	7.86840i	0.574371	+	0.331613i	0.758893	−	0.651215i	$-0.225740\pi$
$563$	13.6285	+	7.86840i	0.574371	+	0.331613i	−0.184522	+	0.982828i	$0.559074\pi$
$564$	−4.21692	−	1.06324i	−0.177564	−	0.0447704i
$565$	5.20358	−	0.917532i	0.218916	−	0.0386009i
$566$	−3.33688	−	10.3162i	−0.140260	−	0.433623i
$567$	0.218228	+	0.0794284i	0.00916471	+	0.00333568i
$568$	25.4395	−	17.0129i	1.06742	−	0.713844i
$569$	4.20578			0.176315			0.0881577	−	0.996107i	$-0.471902\pi$
$569$	4.20578			0.176315			0.0881577	+	0.996107i	$0.471902\pi$
$570$	−22.8210	+	14.6793i	−0.955868	+	0.614850i
$571$		−	6.10665i		−	0.255555i	−0.991803	−	0.127778i	$-0.959216\pi$
$571$		−	6.10665i		−	0.255555i	0.991803	−	0.127778i	$-0.0407844\pi$
$572$	3.40932	+	33.2832i	0.142551	+	1.39164i
$573$	11.4776	−	31.5345i	0.479485	−	1.31737i
$574$	0.222059	−	0.0718272i	0.00926856	−	0.00299801i
$575$	−2.09400	−	11.8757i	−0.0873259	−	0.495250i
$576$	37.1160	−	4.91666i	1.54650	−	0.204861i
$577$	−8.10967	+	14.0464i	−0.337610	+	0.584757i	−0.983983	−	0.178264i	$-0.942952\pi$
$577$	−8.10967	+	14.0464i	−0.337610	+	0.584757i	0.646373	+	0.763022i	$0.276285\pi$
$578$	−5.61750	+	8.96351i	−0.233657	+	0.372833i
$579$	−39.0620	+	46.5523i	−1.62336	+	1.93465i
$580$	−22.0860	+	6.26996i	−0.917071	+	0.260346i
$581$	0.432213	−	0.249539i	0.0179312	−	0.0103526i
$582$	2.58124	−	71.2195i	0.106996	−	2.95214i
$583$	10.7978	−	3.93008i	0.447199	−	0.162767i
$584$	−0.698868	−	10.5976i	−0.0289194	−	0.438533i
$585$	5.91055	−	33.5204i	0.244371	−	1.38590i
$586$	30.3249	−	4.22104i	1.25271	−	0.174370i
$587$	−10.4336	−	12.4342i	−0.430639	−	0.513215i	0.506468	−	0.862259i	$-0.330951\pi$
$587$	−10.4336	−	12.4342i	−0.430639	−	0.513215i	−0.937106	+	0.349044i	$0.886507\pi$
$588$	−31.9164	−	21.6508i	−1.31621	−	0.892862i
$589$	3.19349	−	2.22171i	0.131586	−	0.0915440i
$590$	8.83832	+	16.6756i	0.363868	+	0.686523i
$591$	−37.9712	+	31.8616i	−1.56193	+	1.31061i
$592$	−43.7779	+	1.29720i	−1.79926	+	0.0533147i
$593$	5.59287	−	31.7187i	0.229672	−	1.30253i	−0.623878	−	0.781521i	$-0.714444\pi$
$593$	5.59287	−	31.7187i	0.229672	−	1.30253i	0.853550	−	0.521011i	$-0.174445\pi$
$594$	18.9755	−	14.7850i	0.778576	−	0.606636i
$595$	0.548797	+	1.50781i	0.0224985	+	0.0618141i
$596$	3.02234	−	1.46422i	0.123800	−	0.0599769i
$597$	38.3986	−	22.1694i	1.57155	−	0.907335i
$598$	−30.8261	−	6.59485i	−1.26057	−	0.269684i
$599$	−25.1103	−	21.0700i	−1.02598	−	0.860898i	−0.0356114	−	0.999366i	$-0.511338\pi$
$599$	−25.1103	−	21.0700i	−1.02598	−	0.860898i	−0.990367	+	0.138468i	$0.955782\pi$
$600$	−17.7690	+	7.82706i	−0.725418	+	0.319538i
$601$	3.03423	−	5.25544i	0.123769	−	0.214374i	−0.797482	−	0.603342i	$-0.793835\pi$
$601$	3.03423	−	5.25544i	0.123769	−	0.214374i	0.921251	+	0.388969i	$0.127169\pi$
$602$	−0.599815	+	0.664395i	−0.0244466	+	0.0270787i
$603$	47.2534	−	8.33205i	1.92431	−	0.339307i
$604$	−15.8055	−	15.3441i	−0.643117	−	0.624343i
$605$	−1.27533	+	3.50394i	−0.0518496	+	0.142456i
$606$	−47.0645	−	19.0876i	−1.91186	−	0.775383i
$607$	11.6380			0.472372			0.236186	−	0.971708i	$-0.424102\pi$
$607$	11.6380			0.472372			0.236186	+	0.971708i	$0.424102\pi$
$608$	17.6028	−	17.2668i	0.713888	−	0.700260i
$609$	−4.08936			−0.165709
$610$	9.92190	+	4.02396i	0.401726	+	0.162925i
$611$	1.22879	−	3.37608i	0.0497117	−	0.136582i
$612$	33.2282	+	32.2582i	1.34317	+	1.30396i
$613$	28.1523	−	4.96401i	1.13706	−	0.200495i	0.426742	−	0.904374i	$-0.359661\pi$
$613$	28.1523	−	4.96401i	1.13706	−	0.200495i	0.710320	+	0.703879i	$0.248550\pi$
$614$	−2.10436	+	2.33092i	−0.0849249	+	0.0940685i
$615$	1.77892	−	3.08118i	0.0717330	−	0.124245i
$616$	−1.93083	+	0.850508i	−0.0777953	+	0.0342680i
$617$	27.2249	+	22.8444i	1.09603	+	0.919681i	0.997152	−	0.0754178i	$-0.0240290\pi$
$617$	27.2249	+	22.8444i	1.09603	+	0.919681i	0.0988816	+	0.995099i	$0.468473\pi$
$618$	−50.7202	−	10.8510i	−2.04027	−	0.436490i
$619$	25.6169	−	14.7900i	1.02963	−	0.594458i	0.112753	−	0.993623i	$-0.464033\pi$
$619$	25.6169	−	14.7900i	1.02963	−	0.594458i	0.916879	+	0.399165i	$0.130700\pi$
$620$	−2.55154	+	1.23614i	−0.102472	+	0.0496445i
$621$	7.75195	+	21.2983i	0.311075	+	0.854672i
$622$	4.53417	−	3.53285i	0.181804	−	0.141654i
$623$	−0.388370	+	2.20256i	−0.0155597	+	0.0882436i
$624$	1.50336	+	50.7353i	0.0601827	+	2.03104i
$625$	−4.96272	+	4.16422i	−0.198509	+	0.166569i
$626$	−1.06696	−	2.01307i	−0.0426444	−	0.0804586i
$627$	11.5515	−	42.5940i	0.461324	−	1.70104i
$628$	−13.2588	−	8.99424i	−0.529084	−	0.358909i
$629$	−34.8224	−	41.4997i	−1.38846	−	1.65470i
$630$	2.12594	−	0.295918i	0.0846994	−	0.0117897i
$631$	−3.21569	+	18.2371i	−0.128014	+	0.726006i	0.851457	+	0.524424i	$0.175719\pi$
$631$	−3.21569	+	18.2371i	−0.128014	+	0.726006i	−0.979472	+	0.201582i	$0.935392\pi$
$632$	2.98014	+	45.1908i	0.118544	+	1.79759i
$633$	19.2762	−	7.01597i	0.766161	−	0.278860i
$634$	−0.241726	+	6.66952i	−0.00960016	+	0.264880i
$635$	−8.58946	+	4.95913i	−0.340862	+	0.196797i
$636$	16.7698	−	4.76076i	0.664967	−	0.188776i
$637$	20.4801	−	24.4072i	0.811449	−	0.967048i
$638$	19.8295	−	31.6407i	0.785057	−	1.25267i
$639$	25.3193	−	43.8543i	1.00162	−	1.73485i
$640$	−14.6353	+	10.4278i	−0.578510	+	0.412194i
$641$	8.21247	+	46.5753i	0.324373	+	1.83961i	0.514044	+	0.857764i	$0.328147\pi$
$641$	8.21247	+	46.5753i	0.324373	+	1.83961i	−0.189670	+	0.981848i	$0.560742\pi$
$642$	−18.0416	+	5.83573i	−0.712045	+	0.230318i
$643$	−3.83762	+	10.5438i	−0.151341	+	0.415806i	−0.992076	−	0.125641i	$-0.959901\pi$
$643$	−3.83762	+	10.5438i	−0.151341	+	0.415806i	0.840735	+	0.541447i	$0.182123\pi$
$644$	−0.202569	−	1.97756i	−0.00798234	−	0.0779268i
$645$			13.6452i			0.537280i
$646$	30.2560	+	3.84872i	1.19041	+	0.151426i
$647$	2.26020			0.0888575			0.0444288	−	0.999013i	$-0.485853\pi$
$647$	2.26020			0.0888575			0.0444288	+	0.999013i	$0.485853\pi$
$648$	−2.67420	+	1.78839i	−0.105053	+	0.0702548i
$649$	−28.8446	−	10.4986i	−1.13225	−	0.412105i
$650$	−4.93666	−	15.2620i	−0.193632	−	0.598626i
$651$	−0.497329	+	0.0876925i	−0.0194919	+	0.00343694i
$652$	25.8663	+	6.52183i	1.01300	+	0.255415i
$653$	34.2483	+	19.7733i	1.34024	+	0.773787i	0.986842	−	0.161686i	$-0.0516933\pi$
$653$	34.2483	+	19.7733i	1.34024	+	0.773787i	0.353397	+	0.935474i	$0.385027\pi$
$654$	−5.69378	+	9.08523i	−0.222645	+	0.355261i
$655$	−15.3557	−	12.8850i	−0.599999	−	0.503459i
$656$	−1.01531	+	3.06952i	−0.0396411	+	0.119844i
$657$	−8.78668	−	15.2190i	−0.342801	−	0.593749i
$658$	0.226414	+	0.00820599i	0.00882652	+	0.000319903i
$659$	−4.39863	−	12.0851i	−0.171346	−	0.470771i	0.824061	−	0.566501i	$-0.191703\pi$
$659$	−4.39863	−	12.0851i	−0.171346	−	0.470771i	−0.995407	+	0.0957308i	$0.969481\pi$
$660$	−13.1596	+	29.3481i	−0.512237	+	1.14237i
$661$	18.2318	+	3.21475i	0.709133	+	0.125039i	0.516570	−	0.856245i	$-0.327209\pi$
$661$	18.2318	+	3.21475i	0.709133	+	0.125039i	0.192564	+	0.981285i	$0.438320\pi$
$662$	2.65107	−	0.369014i	0.103037	−	0.0143421i
$663$	−48.0951	+	40.3566i	−1.86786	+	1.56732i
$664$	−0.749915	+	6.87286i	−0.0291024	+	0.266719i
$665$	1.00260	−	0.996542i	0.0388792	−	0.0386442i
$666$	−64.0307	+	33.9373i	−2.48114	+	1.31504i
$667$	22.6150	+	26.9516i	0.875658	+	1.04357i
$668$	21.2121	−	15.3260i	0.820719	−	0.592981i
$669$	−11.5144	−	2.03029i	−0.445171	−	0.0784956i
$670$	−18.1667	+	14.1548i	−0.701842	+	0.546848i
$671$	−16.3638	+	5.95594i	−0.631718	+	0.229927i
$672$	−3.01495	+	1.07486i	−0.116304	+	0.0414635i
$673$	4.55709	+	7.89312i	0.175663	+	0.304257i	0.940391	−	0.340096i	$-0.110460\pi$
$673$	4.55709	+	7.89312i	0.175663	+	0.304257i	−0.764727	+	0.644354i	$0.777126\pi$
$674$	−2.74315	+	12.8222i	−0.105662	+	0.493892i
$675$	−7.41329	+	8.83482i	−0.285338	+	0.340052i
$676$	−15.8906	−	1.15337i	−0.611176	−	0.0443605i
$677$	−42.8729	−	24.7527i	−1.64774	−	0.951323i	−0.977968	−	0.208755i	$-0.933059\pi$
$677$	−42.8729	−	24.7527i	−1.64774	−	0.951323i	−0.669771	−	0.742567i	$-0.733608\pi$
$678$	−8.73666	+	9.67731i	−0.335530	+	0.371655i
$679$	0.644707	+	3.65632i	0.0247416	+	0.140317i
$680$	−21.3424	−	6.21148i	−0.818446	−	0.238200i
$681$	43.6774	+	15.8973i	1.67372	+	0.609184i
$682$	1.73307	−	4.27323i	0.0663625	−	0.163630i
$683$			12.4974i			0.478200i	0.970995	+	0.239100i	$0.0768524\pi$
$683$			12.4974i			0.478200i	−0.970995	+	0.239100i	$0.923148\pi$
$684$	13.5017	−	38.5007i	0.516250	−	1.47211i
$685$		−	6.99934i		−	0.267431i
$686$	3.73497	+	1.51477i	0.142602	+	0.0578340i
$687$	26.9786	+	9.81939i	1.02930	+	0.374633i
$688$	−2.51392	−	12.1422i	−0.0958421	−	0.462916i
$689$	2.50080	+	14.1827i	0.0952727	+	0.540319i
$690$	−22.4938	−	20.3074i	−0.856325	−	0.773089i
$691$	−19.7759	−	11.4176i	−0.752310	−	0.434346i	0.0742181	−	0.997242i	$-0.476354\pi$
$691$	−19.7759	−	11.4176i	−0.752310	−	0.434346i	−0.826528	+	0.562896i	$0.809687\pi$
$692$	−2.28385	+	31.4657i	−0.0868188	+	1.19615i
$693$	−2.24400	+	2.67429i	−0.0852424	+	0.101588i
$694$	25.4483	+	5.44434i	0.966003	+	0.206664i
$695$	−8.59884	−	14.8936i	−0.326173	−	0.564948i
$696$	33.4790	−	45.6980i	1.26902	−	1.73218i
$697$	−3.75792	+	1.36777i	−0.142341	+	0.0518080i
$698$	7.38341	+	9.47611i	0.279466	+	0.358676i
$699$	−49.5320	−	8.73382i	−1.87347	−	0.330344i
$700$	0.819916	−	0.592401i	0.0309899	−	0.0223906i
$701$	14.8137	+	17.6543i	0.559507	+	0.666795i	0.969442	−	0.245320i	$-0.0788930\pi$
$701$	14.8137	+	17.6543i	0.559507	+	0.666795i	−0.409935	+	0.912115i	$0.634449\pi$
$702$	14.1189	+	26.6387i	0.532884	+	1.00541i
$703$	−20.3012	+	43.1938i	−0.765676	+	1.62909i
$704$	6.30313	−	28.5397i	0.237558	−	1.07563i
$705$	2.64577	−	2.22006i	0.0996454	−	0.0836124i
$706$	2.58109	+	18.5431i	0.0971406	+	0.697879i
$707$	2.60567	+	0.459450i	0.0979964	+	0.0172794i
$708$	−42.4919	−	19.0533i	−1.59694	−	0.716066i
$709$	8.11562	+	22.2975i	0.304788	+	0.837399i	0.993651	+	0.112507i	$0.0358882\pi$
$709$	8.11562	+	22.2975i	0.304788	+	0.837399i	−0.688862	+	0.724892i	$0.741890\pi$
$710$	−0.880322	+	24.2892i	−0.0330379	+	0.911556i
$711$	37.4685	+	64.8973i	1.40518	+	2.43384i
$712$	−21.4337	−	22.3720i	−0.803263	−	0.838427i
$713$	3.32829	+	2.79277i	0.124645	+	0.104590i
$714$	−3.35482	−	2.10249i	−0.125551	−	0.0786836i
$715$	−23.0113	−	13.2856i	−0.860573	−	0.496852i
$716$	−0.688524	−	0.173602i	−0.0257313	−	0.00648780i
$717$	−75.4686	+	13.3072i	−2.81843	+	0.496965i
$718$	1.78756	−	0.578204i	0.0667112	−	0.0215784i
$719$	13.1264	+	4.77763i	0.489533	+	0.178175i	0.574980	−	0.818167i	$-0.305010\pi$
$719$	13.1264	+	4.77763i	0.489533	+	0.178175i	−0.0854473	+	0.996343i	$0.527232\pi$
$720$	−14.0979	+	26.1797i	−0.525399	+	0.975660i
$721$	2.70214			0.100633
$722$	−8.11439	−	25.6156i	−0.301986	−	0.953312i
$723$		−	33.0339i		−	1.22854i
$724$	−32.5553	+	3.33477i	−1.20991	+	0.123936i
$725$	−6.12302	+	16.8229i	−0.227403	+	0.624786i
$726$	−2.83160	−	8.75409i	−0.105090	−	0.324895i
$727$	1.91543	+	10.8629i	0.0710393	+	0.402884i	0.999505	+	0.0314654i	$0.0100174\pi$
$727$	1.91543	+	10.8629i	0.0710393	+	0.402884i	−0.928466	+	0.371419i	$0.878872\pi$
$728$	−0.629540	−	2.56826i	−0.0233323	−	0.0951861i
$729$	−22.0156	+	38.1321i	−0.815392	+	1.41230i
$730$	7.14713	+	4.47916i	0.264527	+	0.165781i
$731$	9.85879	−	11.7492i	0.364640	−	0.434561i
$732$	−25.4143	+	7.21482i	−0.939338	+	0.266667i
$733$	−0.624871	+	0.360770i	−0.0230801	+	0.0133253i	−0.511496	−	0.859286i	$-0.670908\pi$
$733$	−0.624871	+	0.360770i	−0.0230801	+	0.0133253i	0.488416	+	0.872611i	$0.337575\pi$
$734$	−25.0590	−	0.908224i	−0.924945	−	0.0335231i
$735$	28.7820	−	10.4758i	1.06164	−	0.386405i
$736$	23.7574	+	13.9263i	0.875708	+	0.513331i
$737$	6.50436	−	36.8881i	0.239591	−	1.35879i
$738$	0.737519	+	5.29849i	0.0271484	+	0.195040i
$739$	9.09967	+	10.8446i	0.334737	+	0.398924i	0.906989	−	0.421154i	$-0.138375\pi$
$739$	9.09967	+	10.8446i	0.334737	+	0.398924i	−0.572252	+	0.820078i	$0.693930\pi$
$740$	19.5264	−	28.7848i	0.717805	−	1.05815i
$741$	50.0584	+	23.5276i	1.83894	+	0.864310i
$742$	−0.802431	+	0.425302i	−0.0294582	+	0.0156133i
$743$	24.8546	−	20.8555i	0.911828	−	0.765114i	−0.0606382	−	0.998160i	$-0.519314\pi$
$743$	24.8546	−	20.8555i	0.911828	−	0.765114i	0.972466	+	0.233046i	$0.0748692\pi$
$744$	3.09161	−	6.27551i	0.113344	−	0.230071i
$745$	−0.463143	+	2.62661i	−0.0169682	+	0.0962317i
$746$	12.5435	+	16.0987i	0.459249	+	0.589414i
$747$	3.91258	+	10.7497i	0.143154	+	0.393311i
$748$	32.5353	−	15.7623i	1.18961	−	0.576326i
$749$	0.855504	−	0.493925i	0.0312594	−	0.0180476i
$750$	9.73752	−	45.5157i	0.355564	−	1.66200i
$751$	−23.9429	−	20.0904i	−0.873688	−	0.733111i	0.0911837	−	0.995834i	$-0.470935\pi$
$751$	−23.9429	−	20.0904i	−0.873688	−	0.733111i	−0.964871	+	0.262723i	$0.915379\pi$
$752$	−1.94532	+	2.46296i	−0.0709384	+	0.0898148i
$753$	0.587553	−	1.01767i	0.0214116	−	0.0370860i
$754$	34.7376	+	31.3611i	1.26507	+	1.14210i
$755$	17.2288	−	3.03791i	0.627022	−	0.110561i
$756$	−1.32431	+	1.36413i	−0.0481647	+	0.0496130i
$757$	7.90208	−	21.7108i	0.287206	−	0.789092i	−0.709249	−	0.704958i	$-0.750966\pi$
$757$	7.90208	−	21.7108i	0.287206	−	0.789092i	0.996455	−	0.0841334i	$-0.0268122\pi$
$758$	−9.38709	+	23.1458i	−0.340955	+	0.840693i
$759$	49.2883			1.78905
$760$	2.92804	+	19.3625i	0.106211	+	0.702351i
$761$	−14.4437			−0.523585			−0.261792	−	0.965124i	$-0.584314\pi$
$761$	−14.4437			−0.523585			−0.261792	+	0.965124i	$0.584314\pi$
$762$	9.19762	−	22.6786i	0.333195	−	0.821559i
$763$	0.191045	−	0.524891i	0.00691628	−	0.0190023i
$764$	−17.3769	−	16.8696i	−0.628674	−	0.610322i
$765$	−36.2205	+	6.38666i	−1.30956	+	0.230910i
$766$	−25.2486	−	22.7944i	−0.912268	−	0.823595i
$767$	19.2357	−	33.3171i	0.694559	−	1.20301i
$768$	12.6717	−	42.4914i	0.457249	−	1.53328i
$769$	−11.3657	−	9.53695i	−0.409857	−	0.343911i	0.414432	−	0.910080i	$-0.363980\pi$
$769$	−11.3657	−	9.53695i	−0.409857	−	0.343911i	−0.824289	+	0.566169i	$0.808425\pi$
$770$	0.350542	−	1.63852i	0.0126326	−	0.0590483i
$771$	3.01699	−	1.74186i	0.108654	−	0.0627315i
$772$	19.1213	+	39.4688i	0.688191	+	1.42051i
$773$	9.14574	+	25.1277i	0.328949	+	0.903781i	0.988378	+	0.152014i	$0.0485759\pi$
$773$	9.14574	+	25.1277i	0.328949	+	0.903781i	−0.659429	+	0.751767i	$0.729202\pi$
$774$	−12.6102	−	16.1843i	−0.453263	−	0.581732i
$775$	−0.383903	+	2.17722i	−0.0137902	+	0.0782081i
$776$	−46.1370	−	22.7293i	−1.65622	−	0.815933i
$777$	4.74598	−	3.98235i	0.170261	−	0.142866i
$778$	−16.8939	+	8.95405i	−0.605676	+	0.321018i
$779$	2.48369	+	2.49879i	0.0889874	+	0.0895285i
$780$	−33.3594	−	22.6297i	−1.19446	−	0.810272i
$781$	−25.4099	−	30.2823i	−0.909237	−	1.08359i
$782$	4.69608	+	33.7377i	0.167932	+	1.20646i
$783$	5.84302	−	33.1374i	0.208812	−	1.18423i
$784$	−23.6815	+	14.6245i	−0.845769	+	0.522302i
$785$	11.9567	−	4.35188i	0.426753	−	0.155325i
$786$	49.4287	+	1.79146i	1.76306	+	0.0638994i
$787$	−1.88485	+	1.08822i	−0.0671877	+	0.0387908i	−0.533218	−	0.845978i	$-0.679017\pi$
$787$	−1.88485	+	1.08822i	−0.0671877	+	0.0387908i	0.466030	+	0.884769i	$0.345684\pi$
$788$	9.76934	+	34.4126i	0.348018	+	1.22590i
$789$	−21.8874	+	26.0843i	−0.779211	+	0.928627i
$790$	−30.4771	−	19.1002i	−1.08433	−	0.679555i
$791$	0.339607	−	0.588217i	0.0120750	−	0.0209146i
$792$	−11.5135	−	46.9704i	−0.409115	−	1.66902i
$793$	−3.78990	−	21.4936i	−0.134583	−	0.763259i
$794$	−11.4578	−	35.4226i	−0.406622	−	1.25710i
$795$	−4.73511	+	13.0096i	−0.167937	+	0.461404i
$796$	−3.26070	−	31.8322i	−0.115572	−	1.12826i
$797$			7.92133i			0.280588i	0.990110	+	0.140294i	$0.0448048\pi$
$797$			7.92133i			0.280588i	−0.990110	+	0.140294i	$0.955195\pi$
$798$	−0.440146	+	3.46013i	−0.0155810	+	0.122487i
$799$	−3.88216			−0.137341
$800$	−0.0925492	+	14.0123i	−0.00327211	+	0.495411i
$801$	−48.1732	−	17.5336i	−1.70212	−	0.619519i
$802$	0.173604	−	0.0561539i	0.00613017	−	0.00198286i
$803$	−13.5101	+	2.38220i	−0.476761	+	0.0840659i
$804$	13.8930	−	55.1012i	0.489968	−	1.94327i
$805$	1.36724	+	0.789379i	0.0481890	+	0.0278219i
$806$	4.89714	+	3.06907i	0.172494	+	0.108103i
$807$	8.03361	+	6.74100i	0.282797	+	0.237294i
$808$	−26.4666	+	25.3566i	−0.931091	+	0.892041i
$809$	8.64218	+	14.9687i	0.303843	+	0.526271i	0.977003	−	0.213225i	$-0.0683969\pi$
$809$	8.64218	+	14.9687i	0.303843	+	0.526271i	−0.673160	+	0.739497i	$0.735064\pi$
$810$	0.0925395	−	2.55328i	0.00325151	−	0.0897131i
$811$	8.06735	+	22.1649i	0.283283	+	0.778314i	0.996966	+	0.0778444i	$0.0248037\pi$
$811$	8.06735	+	22.1649i	0.283283	+	0.778314i	−0.713683	+	0.700469i	$0.752974\pi$
$812$	−1.20749	+	2.69291i	−0.0423747	+	0.0945025i
$813$	−42.5010	−	7.49408i	−1.49058	−	0.262829i
$814$	7.79930	+	56.0318i	0.273365	+	1.96392i
$815$	−16.2290	+	13.6177i	−0.568476	+	0.477008i
$816$	50.9604	−	20.2768i	1.78397	−	0.709830i
$817$	−13.0411	−	3.53677i	−0.456252	−	0.123736i
$818$	6.87818	+	12.9773i	0.240490	+	0.453741i
$819$	−2.81242	−	3.35172i	−0.0982741	−	0.117118i
$820$	−1.50373	−	2.08125i	−0.0525126	−	0.0726804i
$821$	−6.47055	−	1.14093i	−0.225824	−	0.0398188i	0.0595911	−	0.998223i	$-0.481020\pi$
$821$	−6.47055	−	1.14093i	−0.225824	−	0.0398188i	−0.285415	+	0.958404i	$0.592131\pi$
$822$	10.6148	+	13.6234i	0.370233	+	0.475169i
$823$	8.33186	−	3.03255i	0.290430	−	0.105708i	−0.192696	−	0.981258i	$-0.561723\pi$
$823$	8.33186	−	3.03255i	0.290430	−	0.105708i	0.483127	+	0.875550i	$0.339501\pi$
$824$	−22.1221	+	30.1960i	−0.770658	+	1.05193i
$825$	12.5400	+	21.7199i	0.436587	+	0.756192i
$826$	2.37235	+	0.507535i	0.0825447	+	0.0176594i
$827$	−6.18196	+	7.36738i	−0.214968	+	0.256189i	−0.862743	−	0.505643i	$-0.831255\pi$
$827$	−6.18196	+	7.36738i	−0.214968	+	0.256189i	0.647775	+	0.761832i	$0.275700\pi$
$828$	45.4463	+	3.29859i	1.57937	+	0.114634i
$829$	47.3501	+	27.3376i	1.64454	+	0.949474i	0.979191	+	0.202939i	$0.0650492\pi$
$829$	47.3501	+	27.3376i	1.64454	+	0.949474i	0.665346	+	0.746535i	$0.268284\pi$
$830$	−4.07552	−	3.67937i	−0.141463	−	0.127713i
$831$	−7.68180	−	43.5657i	−0.266479	−	1.51128i
$832$	33.8539	+	13.9910i	1.17367	+	0.485051i
$833$	−32.3516	−	11.7750i	−1.12092	−	0.407980i
$834$	39.3234	+	15.9481i	1.36166	+	0.552239i
$835$			20.7832i			0.719233i
$836$	−24.6379	−	20.1839i	−0.852120	−	0.698075i
$837$		−	4.15532i		−	0.143629i
$838$	5.27222	−	12.9997i	0.182126	−	0.449069i
$839$	−7.23988	−	2.63510i	−0.249948	−	0.0909738i	0.214008	−	0.976832i	$-0.431348\pi$
$839$	−7.23988	−	2.63510i	−0.249948	−	0.0909738i	−0.463956	+	0.885858i	$0.653570\pi$
$840$	0.710356	−	2.44076i	0.0245096	−	0.0842142i
$841$	−4.03422	−	22.8792i	−0.139111	−	0.788937i
$842$	0.575743	−	0.637732i	0.0198414	−	0.0219777i
$843$	−12.8904	−	7.44230i	−0.443970	−	0.256326i
$844$	1.07170	−	14.7654i	0.0368895	−	0.508244i
$845$	8.13331	−	9.69290i	0.279794	−	0.333446i
$846$	−1.08643	+	5.07824i	−0.0373521	+	0.174593i
$847$	0.239661	+	0.415105i	0.00823484	+	0.0142632i
$848$	1.81671	−	12.4489i	0.0623861	−	0.427498i
$849$	−19.9655	+	7.26685i	−0.685214	+	0.249398i
$850$	−13.6724	+	10.6530i	−0.468961	+	0.365396i
$851$	−52.4926	−	9.25586i	−1.79942	−	0.317287i
$852$	−35.1221	−	48.6109i	−1.20326	−	1.66538i
$853$	9.04134	+	10.7751i	0.309570	+	0.368931i	0.898288	−	0.439408i	$-0.144812\pi$
$853$	9.04134	+	10.7751i	0.309570	+	0.368931i	−0.588718	+	0.808338i	$0.700367\pi$
$854$	1.21606	−	0.644534i	0.0416129	−	0.0220555i
$855$	18.5046	+	26.5985i	0.632844	+	0.909651i
$856$	−1.48435	+	13.6038i	−0.0507340	+	0.464969i
$857$	−25.8903	+	21.7245i	−0.884395	+	0.742096i	−0.967078	−	0.254480i	$-0.918096\pi$
$857$	−25.8903	+	21.7245i	−0.884395	+	0.742096i	0.0826828	+	0.996576i	$0.473651\pi$
$858$	64.9368	−	9.03881i	2.21690	−	0.308580i
$859$	−9.07216	−	1.59967i	−0.309538	−	0.0545799i	0.0167212	−	0.999860i	$-0.494677\pi$
$859$	−9.07216	−	1.59967i	−0.309538	−	0.0545799i	−0.326259	+	0.945280i	$0.605788\pi$
$860$	8.98560	+	4.02912i	0.306406	+	0.137392i
$861$	−0.156421	−	0.429762i	−0.00533080	−	0.0146463i
$862$	33.8258	+	1.22596i	1.15211	+	0.0417565i
$863$	−1.62887	−	2.82128i	−0.0554473	−	0.0960376i	0.836969	−	0.547250i	$-0.184325\pi$
$863$	−1.62887	−	2.82128i	−0.0554473	−	0.0960376i	−0.892417	+	0.451212i	$0.850992\pi$
$864$	−4.40204	−	25.9669i	−0.149760	−	0.883413i
$865$	−19.1934	−	16.1052i	−0.652594	−	0.547592i
$866$	29.6798	−	47.3582i	1.00856	−	1.60930i
$867$	17.9520	+	10.3646i	0.609683	+	0.352001i
$868$	−0.0891030	+	0.353393i	−0.00302435	+	0.0119949i
$869$	57.6103	−	10.1583i	1.95430	−	0.344595i
$870$	13.8461	+	42.8062i	0.469426	+	1.45127i
$871$	44.1142	+	16.0563i	1.49475	+	0.544046i
$872$	4.30152	+	6.43210i	0.145668	+	0.217819i
$873$	−85.1012			−2.88024
$874$	25.2386	−	16.2344i	0.853710	−	0.549138i
$875$			2.42487i			0.0819755i
$876$	−20.7038	+	2.12077i	−0.699518	+	0.0716543i
$877$	16.8079	−	46.1794i	0.567564	−	1.55937i	−0.240731	−	0.970592i	$-0.577387\pi$
$877$	16.8079	−	46.1794i	0.567564	−	1.55937i	0.808295	−	0.588777i	$-0.200391\pi$
$878$	−38.7962	+	12.5490i	−1.30931	+	0.423508i
$879$	−10.4184	−	59.0859i	−0.351405	−	1.99292i
$880$	15.4404	+	17.3316i	0.520497	+	0.584249i
$881$	17.2456	−	29.8702i	0.581019	−	1.00635i	−0.414340	−	0.910122i	$-0.635988\pi$
$881$	17.2456	−	29.8702i	0.581019	−	1.00635i	0.995359	−	0.0962317i	$-0.0306790\pi$
$882$	−24.4565	+	39.0237i	−0.823492	+	1.31400i
$883$	13.6281	−	16.2413i	0.458620	−	0.546563i	−0.486330	−	0.873775i	$-0.661665\pi$
$883$	13.6281	−	16.2413i	0.458620	−	0.546563i	0.944951	+	0.327212i	$0.106109\pi$
$884$	12.3741	+	43.5878i	0.416185	+	1.46601i
$885$	32.0286	−	18.4917i	1.07663	−	0.621593i
$886$	−2.03013	+	56.0139i	−0.0682037	+	1.88182i
$887$	3.09192	−	1.12537i	0.103816	−	0.0377861i	−0.289590	−	0.957151i	$-0.593519\pi$
$887$	3.09192	−	1.12537i	0.103816	−	0.0377861i	0.393406	+	0.919365i	$0.371297\pi$
$888$	5.64750	+	85.6386i	0.189518	+	2.87384i
$889$	−0.221392	+	1.25558i	−0.00742524	+	0.0421106i
$890$	24.3707	−	3.39226i	0.816908	−	0.113709i
$891$	2.67109	+	3.18328i	0.0894848	+	0.106644i
$892$	−4.73690	+	6.98288i	−0.158603	+	0.233804i
$893$	1.43601	+	3.10407i	0.0480543	+	0.103874i
$894$	−3.08191	−	5.81476i	−0.103075	−	0.194475i
$895$	0.431992	−	0.362484i	0.0144399	−	0.0121165i
$896$	−0.182437	+	2.30277i	−0.00609480	+	0.0769303i
$897$	−10.7269	+	60.8350i	−0.358159	+	2.03122i
$898$	−26.1889	+	20.4054i	−0.873935	+	0.680936i
$899$	−2.20611	−	6.06123i	−0.0735778	−	0.202153i
$900$	10.1089	+	20.8661i	0.336965	+	0.695537i
$901$	13.4767	−	7.78079i	0.448975	−	0.259216i
$902$	4.08371	+	0.873658i	0.135973	+	0.0290896i
$903$	1.34366	+	1.12747i	0.0447143	+	0.0375198i
$904$	3.79292	+	8.61072i	0.126151	+	0.286388i
$905$	12.9950	−	22.5081i	0.431969	−	0.748193i
$906$	−28.9267	+	32.0411i	−0.961025	+	1.06450i
$907$	6.19475	−	1.09230i	0.205693	−	0.0362693i	−0.0698520	−	0.997557i	$-0.522253\pi$
$907$	6.19475	−	1.09230i	0.205693	−	0.0362693i	0.275545	+	0.961288i	$0.411142\pi$
$908$	23.3655	−	24.0681i	0.775412	−	0.798729i
$909$	−20.7426	+	56.9899i	−0.687989	+	1.89023i
$910$	1.94609	+	0.789263i	0.0645122	+	0.0261638i
$911$	−54.7082			−1.81256			−0.906282	−	0.422673i	$-0.861092\pi$
$911$	−54.7082			−1.81256			−0.906282	+	0.422673i	$0.861092\pi$
$912$	−35.0631	−	33.2462i	−1.16105	−	1.10089i
$913$	8.93026			0.295548
$914$	29.3698	+	11.9113i	0.971466	+	0.393991i
$915$	7.17595	−	19.7158i	0.237230	−	0.651783i
$916$	14.4324	−	14.8664i	0.476859	−	0.491198i
$917$	−2.53761	+	0.447449i	−0.0837992	+	0.0147761i
$918$	21.8306	−	24.1810i	0.720518	−	0.798094i
$919$	16.7617	−	29.0322i	0.552919	−	0.957683i	−0.445144	−	0.895459i	$-0.646847\pi$
$919$	16.7617	−	29.0322i	0.552919	−	0.957683i	0.998062	−	0.0622239i	$-0.0198193\pi$
$920$	−20.0146	+	8.81622i	−0.659863	+	0.290662i
$921$	4.71403	+	3.95554i	0.155333	+	0.130340i
$922$	18.1148	+	3.87544i	0.596579	+	0.127631i
$923$	42.9066	−	24.7721i	1.41229	−	0.815384i
$924$	1.80260	+	3.72080i	0.0593012	+	0.122405i
$925$	−9.27647	−	25.4869i	−0.305008	−	0.838003i
$926$	−8.74554	+	6.81418i	−0.287396	+	0.223928i
$927$	−10.7553	+	60.9962i	−0.353250	+	2.00338i
$928$	−20.2073	−	35.5400i	−0.663336	−	1.16666i
$929$	−16.9126	+	14.1913i	−0.554883	+	0.465602i	−0.876591	−	0.481237i	$-0.840188\pi$
$929$	−16.9126	+	14.1913i	−0.554883	+	0.465602i	0.321708	+	0.946839i	$0.395743\pi$
$930$	2.60184	+	4.90898i	0.0853176	+	0.160972i
$931$	2.55188	+	30.2230i	0.0836344	+	0.990520i
$932$	−20.3770	+	30.0387i	−0.667471	+	0.983950i
$933$	−7.24022	−	8.62856i	−0.237034	−	0.282486i
$934$	22.5074	−	3.13290i	0.736465	−	0.102512i
$935$	−4.98570	+	28.2753i	−0.163050	+	0.924702i
$936$	60.4799	−	3.98839i	1.97685	−	0.130365i
$937$	43.9899	−	16.0110i	1.43709	−	0.523057i	0.498133	−	0.867101i	$-0.334019\pi$
$937$	43.9899	−	16.0110i	1.43709	−	0.523057i	0.938953	+	0.344044i	$0.111797\pi$
$938$	−0.107225	+	2.95848i	−0.00350103	+	0.0965977i
$939$	−3.86649	+	2.23232i	−0.126178	+	0.0728490i
$940$	−0.680712	−	2.39781i	−0.0222024	−	0.0782081i
$941$	15.8460	−	18.8845i	0.516565	−	0.615618i	−0.443200	−	0.896423i	$-0.646157\pi$
$941$	15.8460	−	18.8845i	0.516565	−	0.615618i	0.959765	+	0.280805i	$0.0906013\pi$
$942$	−16.6724	+	26.6032i	−0.543218	+	0.866780i
$943$	−1.96737	+	3.40759i	−0.0640665	+	0.110966i
$944$	−25.0938	+	22.3556i	−0.816733	+	0.727612i
$945$	−0.262194	−	1.48698i	−0.00852917	−	0.0483713i
$946$	−15.2391	+	4.92923i	−0.495465	+	0.160263i
$947$	−9.04156	+	24.8415i	−0.293811	+	0.807240i	0.701689	+	0.712483i	$0.252430\pi$
$947$	−9.04156	+	24.8415i	−0.293811	+	0.807240i	−0.995500	+	0.0947568i	$0.969793\pi$
$948$	88.2861	−	9.04349i	2.86740	−	0.293719i
$949$		−	17.1936i		−	0.558127i
$950$	13.5753	+	6.99156i	0.440441	+	0.226836i
$951$	13.0781			0.424088
$952$	−2.37512	+	1.58838i	−0.0769781	+	0.0514797i
$953$	7.01364	+	2.55276i	0.227194	+	0.0826919i	0.453109	−	0.891455i	$-0.350315\pi$
$953$	7.01364	+	2.55276i	0.227194	+	0.0826919i	−0.225915	+	0.974147i	$0.572537\pi$
$954$	−6.40656	−	19.8063i	−0.207420	−	0.641254i
$955$	18.9417	−	3.33994i	0.612940	−	0.108078i
$956$	−13.5212	+	53.6266i	−0.437306	+	1.73441i
$957$	−63.3698	−	36.5866i	−2.04845	−	1.18268i
$958$	17.7139	−	28.2650i	0.572310	−	0.913202i
$959$	−0.689234	−	0.578336i	−0.0222565	−	0.0186755i
$960$	21.4596	+	27.9203i	0.692604	+	0.901124i
$961$	15.1017	+	26.1570i	0.487152	+	0.843773i
$962$	−70.8558	−	2.56805i	−2.28448	−	0.0827974i
$963$	7.74438	+	21.2775i	0.249559	+	0.685658i
$964$	−21.7534	−	9.75416i	−0.700628	−	0.314160i
$965$	−34.3010	−	6.04819i	−1.10419	−	0.194698i
$966$	−3.85830	+	0.537052i	−0.124139	+	0.0172794i
$967$	9.61455	−	8.06756i	0.309183	−	0.259435i	−0.474971	−	0.880001i	$-0.657542\pi$
$967$	9.61455	−	8.06756i	0.309183	−	0.259435i	0.784154	+	0.620566i	$0.213097\pi$
$968$	−6.60081	−	0.720231i	−0.212158	−	0.0231491i
$969$	5.38953	−	59.5238i	0.173137	−	1.91218i
$970$	36.0903	−	19.1285i	1.15879	−	0.614178i
$971$	−22.9104	−	27.3036i	−0.735231	−	0.876214i	0.260784	−	0.965397i	$-0.416019\pi$
$971$	−22.9104	−	27.3036i	−0.735231	−	0.876214i	−0.996015	+	0.0891831i	$0.971574\pi$
$972$	20.0521	+	27.7532i	0.643171	+	0.890185i
$973$	−2.17709	−	0.383881i	−0.0697945	−	0.0123066i
$974$	42.4438	−	33.0706i	1.35999	−	1.05965i
$975$	−29.5374	+	10.7507i	−0.945954	+	0.344299i
$976$	−2.75318	+	18.8661i	−0.0881272	+	0.603888i
$977$	−25.2389	−	43.7151i	−0.807465	−	1.39857i	−0.914614	−	0.404327i	$-0.867506\pi$
$977$	−25.2389	−	43.7151i	−0.807465	−	1.39857i	0.107150	−	0.994243i	$-0.465828\pi$
$978$	10.9359	−	51.1172i	0.349691	−	1.63455i
$979$	−25.7241	+	30.6568i	−0.822145	+	0.979794i
$980$	1.60019	−	22.0466i	0.0511162	−	0.704254i
$981$	11.0881	+	6.40172i	0.354016	+	0.204391i
$982$	29.1426	−	32.2803i	0.929977	−	1.03010i
$983$	−5.79541	−	32.8674i	−0.184845	−	1.04831i	−0.926155	−	0.377144i	$-0.876906\pi$
$983$	−5.79541	−	32.8674i	−0.184845	−	1.04831i	0.741310	−	0.671163i	$-0.234205\pi$
$984$	6.08313	+	1.77043i	0.193923	+	0.0564391i
$985$	−26.6965	−	9.71672i	−0.850620	−	0.309600i
$986$	19.0056	−	46.8623i	0.605262	−	1.49240i
$987$		−	0.443970i		−	0.0141317i
$988$	30.2744	−	26.0171i	0.963158	−	0.827714i
$989$		−	15.0908i		−	0.479859i
$990$	35.5916	+	14.4347i	1.13118	+	0.458764i
$991$	−34.2913	−	12.4810i	−1.08930	−	0.396473i	−0.265938	−	0.963990i	$-0.585682\pi$
$991$	−34.2913	−	12.4810i	−1.08930	−	0.396473i	−0.823361	+	0.567517i	$0.807904\pi$
$992$	−3.21964	−	3.88889i	−0.102224	−	0.123472i
$993$	−0.910805	−	5.16543i	−0.0289035	−	0.163920i
$994$	2.31905	+	2.09363i	0.0735557	+	0.0664060i
$995$	22.0081	+	12.7064i	0.697705	+	0.402820i
$996$	13.5124	+	0.980760i	0.428157	+	0.0310766i
$997$	26.4791	−	31.5566i	0.838603	−	0.999408i	−0.161319	−	0.986902i	$-0.551575\pi$
$997$	26.4791	−	31.5566i	0.838603	−	0.999408i	0.999922	−	0.0125055i	$-0.00398074\pi$
$998$	−13.4500	−	2.87745i	−0.425751	−	0.0910841i
$999$	25.4891	+	44.1483i	0.806438	+	1.39679i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	152.2.t.a.101.2	✓	108
4.3	odd	2		608.2.bf.a.177.17		108
8.3	odd	2		608.2.bf.a.177.2		108
8.5	even	2	inner	152.2.t.a.101.11	yes	108
19.16	even	9	inner	152.2.t.a.149.11	yes	108
76.35	odd	18		608.2.bf.a.529.2		108
152.35	odd	18		608.2.bf.a.529.17		108
152.149	even	18	inner	152.2.t.a.149.2	yes	108

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
152.2.t.a.101.2	✓	108	1.1	even	1	trivial
152.2.t.a.101.11	yes	108	8.5	even	2	inner
152.2.t.a.149.2	yes	108	152.149	even	18	inner
152.2.t.a.149.11	yes	108	19.16	even	9	inner
608.2.bf.a.177.2		108	8.3	odd	2
608.2.bf.a.177.17		108	4.3	odd	2
608.2.bf.a.529.2		108	76.35	odd	18
608.2.bf.a.529.17		108	152.35	odd	18

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Level:	\( N \)	\(=\)	\( 152 = 2^{3} \cdot 19 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	152.t (of order \(18\), degree \(6\), minimal)

\(f(q)\)	\(=\)	\(q+(-1.31054 - 0.531505i) q^{2} +(-0.947836 + 2.60416i) q^{3} +(1.43500 + 1.39311i) q^{4} +(-1.56423 + 0.275816i) q^{5} +(2.62630 - 2.90906i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.14018 - 2.58844i) q^{8} +(-3.58511 - 3.00826i) q^{9} +O(q^{10})\)	\(q+(-1.31054 - 0.531505i) q^{2} +(-0.947836 + 2.60416i) q^{3} +(1.43500 + 1.39311i) q^{4} +(-1.56423 + 0.275816i) q^{5} +(2.62630 - 2.90906i) q^{6} +(-0.102088 + 0.176822i) q^{7} +(-1.14018 - 2.58844i) q^{8} +(-3.58511 - 3.00826i) q^{9} +(2.19658 + 0.469930i) q^{10} +(-3.16397 + 1.82672i) q^{11} +(-4.98803 + 2.41653i) q^{12} +(-1.56607 - 4.30274i) q^{13} +(0.227772 - 0.177471i) q^{14} +(0.764365 - 4.33493i) q^{15} +(0.118474 + 3.99825i) q^{16} +(-3.79018 + 3.18034i) q^{17} +(3.09950 + 5.84794i) q^{18} +(3.94490 + 1.85412i) q^{19} +(-2.62892 - 1.78335i) q^{20} +(-0.363709 - 0.433451i) q^{21} +(5.11740 - 0.712312i) q^{22} +(-0.845340 + 4.79416i) q^{23} +(7.82139 - 0.515787i) q^{24} +(-2.32772 + 0.847222i) q^{25} +(-0.234541 + 6.47127i) q^{26} +(4.03208 - 2.32792i) q^{27} +(-0.392829 + 0.111520i) q^{28} +(4.64554 - 5.53634i) q^{29} +(-3.30577 + 5.27481i) q^{30} +(0.446248 - 0.772924i) q^{31} +(1.96982 - 5.30281i) q^{32} +(-1.75814 - 9.97090i) q^{33} +(6.65753 - 2.15344i) q^{34} +(0.110919 - 0.304747i) q^{35} +(-0.953796 - 9.31133i) q^{36} +10.9493i q^{37} +(-4.18446 - 4.52662i) q^{38} +12.6894 q^{39} +(2.49743 + 3.73443i) q^{40} +(0.759524 + 0.276444i) q^{41} +(0.246272 + 0.761367i) q^{42} +(-3.05282 + 0.538295i) q^{43} +(-7.08513 - 1.78642i) q^{44} +(6.43766 + 3.71679i) q^{45} +(3.65597 - 5.83361i) q^{46} +(0.601065 + 0.504353i) q^{47} +(-10.5244 - 3.48116i) q^{48} +(3.47916 + 6.02608i) q^{49} +(3.50086 + 0.126883i) q^{50} +(-4.68963 - 12.8847i) q^{51} +(3.74689 - 8.35617i) q^{52} +(-3.09742 - 0.546158i) q^{53} +(-6.52148 + 0.907751i) q^{54} +(4.44534 - 3.73008i) q^{55} +(0.574090 + 0.0626404i) q^{56} +(-8.56753 + 8.51575i) q^{57} +(-9.03074 + 4.78644i) q^{58} +(5.40063 + 6.43622i) q^{59} +(7.13591 - 5.15580i) q^{60} +(4.69406 + 0.827689i) q^{61} +(-0.995636 + 0.775760i) q^{62} +(0.897924 - 0.326817i) q^{63} +(-5.40000 + 5.90255i) q^{64} +(3.63646 + 6.29854i) q^{65} +(-2.99548 + 14.0017i) q^{66} +(-6.59023 + 7.85393i) q^{67} +(-9.86949 - 0.716349i) q^{68} +(-11.6835 - 6.74548i) q^{69} +(-0.307338 + 0.340428i) q^{70} +(1.87890 + 10.6558i) q^{71} +(-3.69904 + 12.7098i) q^{72} +(3.52851 + 1.28427i) q^{73} +(5.81960 - 14.3494i) q^{74} -6.86478i q^{75} +(3.07796 + 8.15636i) q^{76} -0.745944i q^{77} +(-16.6299 - 6.74449i) q^{78} +(-15.0464 - 5.47645i) q^{79} +(-1.28810 - 6.22150i) q^{80} +(-0.197510 - 1.12014i) q^{81} +(-0.848452 - 0.765981i) q^{82} +(-2.11687 - 1.22217i) q^{83} +(0.0819229 - 1.12869i) q^{84} +(5.05152 - 6.02017i) q^{85} +(4.28694 + 0.917137i) q^{86} +(10.0143 + 17.3453i) q^{87} +(8.33582 + 6.10695i) q^{88} +(10.2933 - 3.74647i) q^{89} +(-6.46129 - 8.29263i) q^{90} +(0.920696 + 0.162344i) q^{91} +(-7.89187 + 5.70199i) q^{92} +(1.58985 + 1.89470i) q^{93} +(-0.519650 - 0.980442i) q^{94} +(-6.68213 - 1.81220i) q^{95} +(11.9423 + 10.1559i) q^{96} +(13.9297 - 11.6884i) q^{97} +(-1.35666 - 9.74657i) q^{98} +(16.8384 + 2.96907i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9}+O(q^{10}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9	\( 108 q - 6 q^{2} - 12 q^{4} - 12 q^{6} - 6 q^{7} - 3 q^{8} - 12 q^{9} + 9 q^{10} - 3 q^{12} - 9 q^{14} - 12 q^{15} - 12 q^{17} - 12 q^{18} - 42 q^{20} - 12 q^{22} - 12 q^{23} - 36 q^{24} - 12 q^{25} + 21 q^{26} + 24 q^{28} - 48 q^{30} + 30 q^{31} + 39 q^{32} - 30 q^{33} - 60 q^{34} + 69 q^{36} - 42 q^{38} - 24 q^{39} + 36 q^{40} - 24 q^{41} - 81 q^{42} + 45 q^{44} - 18 q^{46} - 48 q^{47} - 21 q^{48} - 24 q^{49} - 12 q^{50} + 3 q^{52} + 63 q^{54} - 42 q^{55} + 30 q^{56} - 12 q^{57} - 84 q^{58} + 30 q^{60} - 6 q^{62} + 30 q^{63} + 3 q^{64} - 6 q^{65} + 54 q^{66} + 36 q^{68} + 123 q^{70} - 12 q^{71} + 150 q^{72} + 12 q^{73} + 75 q^{74} + 42 q^{76} + 39 q^{78} - 12 q^{79} + 51 q^{80} - 18 q^{81} + 99 q^{82} + 75 q^{84} - 48 q^{86} - 6 q^{87} - 27 q^{88} - 12 q^{89} + 66 q^{90} - 48 q^{92} + 54 q^{94} - 72 q^{95} + 42 q^{96} - 12 q^{97} + 93 q^{98}+O(q^{100}) \) 108 * q - 6 * q^2 - 12 * q^4 - 12 * q^6 - 6 * q^7 - 3 * q^8 - 12 * q^9 + 9 * q^10 - 3 * q^12 - 9 * q^14 - 12 * q^15 - 12 * q^17 - 12 * q^18 - 42 * q^20 - 12 * q^22 - 12 * q^23 - 36 * q^24 - 12 * q^25 + 21 * q^26 + 24 * q^28 - 48 * q^30 + 30 * q^31 + 39 * q^32 - 30 * q^33 - 60 * q^34 + 69 * q^36 - 42 * q^38 - 24 * q^39 + 36 * q^40 - 24 * q^41 - 81 * q^42 + 45 * q^44 - 18 * q^46 - 48 * q^47 - 21 * q^48 - 24 * q^49 - 12 * q^50 + 3 * q^52 + 63 * q^54 - 42 * q^55 + 30 * q^56 - 12 * q^57 - 84 * q^58 + 30 * q^60 - 6 * q^62 + 30 * q^63 + 3 * q^64 - 6 * q^65 + 54 * q^66 + 36 * q^68 + 123 * q^70 - 12 * q^71 + 150 * q^72 + 12 * q^73 + 75 * q^74 + 42 * q^76 + 39 * q^78 - 12 * q^79 + 51 * q^80 - 18 * q^81 + 99 * q^82 + 75 * q^84 - 48 * q^86 - 6 * q^87 - 27 * q^88 - 12 * q^89 + 66 * q^90 - 48 * q^92 + 54 * q^94 - 72 * q^95 + 42 * q^96 - 12 * q^97 + 93 * q^98

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