LMFDB - Embedded newform 370.2.ba.b.227.5

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms

[N,k,chi] = [370,2,Mod(17,370)]

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

lf = mfeigenbasis(mf)

from sage.modular.dirichlet import DirichletCharacter

H = DirichletGroup(370, base_ring=CyclotomicField(36))

chi = DirichletCharacter(H, H._module([9, 7]))

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

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

chi := DirichletCharacter("370.17");

S:= CuspForms(chi, 2);

N := Newforms(S);

Level:	$ N $	$=$	$ 370 = 2 \cdot 5 \cdot 37 $
Weight:	$ k $	$=$	$ 2 $
Character orbit:	$[\chi]$	$=$	370.ba (of order $36$, degree $12$, 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:	$2.95446487479$
Analytic rank:	$0$
Dimension:	$120$
Relative dimension:	$10$ over $\Q(\zeta_{36})$
Twist minimal:	yes
Sato-Tate group:	$\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label			227.5
Character	$\chi$	$=$	370.227
Dual form			370.2.ba.b.163.5

$q$-expansion

comment: q-expansion

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

gp: mfcoefs(f, 20)

$f(q)$	$=$	$q+(0.939693 - 0.342020i) q^{2} +(-0.192117 - 0.411996i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.25646 + 1.84968i) q^{5} +(-0.321442 - 0.321442i) q^{6} +(1.40817 - 2.01108i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.79553 - 2.13983i) q^{9} +O(q^{10})$	\(q+(0.939693 - 0.342020i) q^{2} +(-0.192117 - 0.411996i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.25646 + 1.84968i) q^{5} +(-0.321442 - 0.321442i) q^{6} +(1.40817 - 2.01108i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.79553 - 2.13983i) q^{9} +(-0.548062 + 2.16786i) q^{10} +(0.442572 + 0.255519i) q^{11} +(-0.411996 - 0.192117i) q^{12} +(3.70870 - 3.11197i) q^{13} +(0.635420 - 2.37142i) q^{14} +(1.00345 + 0.162304i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-3.85924 + 4.59927i) q^{17} +(0.955382 - 2.62489i) q^{18} +(6.06697 - 2.82908i) q^{19} +(0.226443 + 2.22457i) q^{20} +(-1.09909 - 0.193799i) q^{21} +(0.503274 + 0.0887408i) q^{22} +(2.73456 + 4.73639i) q^{23} +(-0.452858 - 0.0396199i) q^{24} +(-1.84260 - 4.64810i) q^{25} +(2.42068 - 4.19275i) q^{26} +(-2.54385 - 0.681622i) q^{27} +(-0.213974 - 2.44573i) q^{28} +(-2.49260 + 0.667890i) q^{29} +(0.998443 - 0.190684i) q^{30} +(-2.91679 + 2.91679i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(0.0202473 - 0.231427i) q^{33} +(-2.05346 + 5.64184i) q^{34} +(1.95053 + 5.13151i) q^{35} -2.79335i q^{36} +(-5.96496 + 1.19130i) q^{37} +(4.73349 - 4.73349i) q^{38} +(-1.99462 - 0.930109i) q^{39} +(0.973635 + 2.01297i) q^{40} +(-2.49916 - 2.97838i) q^{41} +(-1.09909 + 0.193799i) q^{42} -8.36237 q^{43} +(0.503274 - 0.0887408i) q^{44} +(1.70198 + 6.00977i) q^{45} +(4.18959 + 3.51548i) q^{46} +(-1.23744 + 4.61817i) q^{47} +(-0.439098 + 0.117656i) q^{48} +(0.332654 + 0.913958i) q^{49} +(-3.32122 - 3.73758i) q^{50} +(2.63631 + 0.706396i) q^{51} +(0.840694 - 4.76781i) q^{52} +(-5.34155 - 7.62853i) q^{53} +(-2.62356 + 0.229532i) q^{54} +(-1.02870 + 0.497564i) q^{55} +(-1.03756 - 2.22505i) q^{56} +(-2.33114 - 1.95606i) q^{57} +(-2.11385 + 1.48013i) q^{58} +(3.28332 + 4.68907i) q^{59} +(0.873012 - 0.520672i) q^{60} +(-0.507435 + 5.80001i) q^{61} +(-1.74329 + 3.73849i) q^{62} +(-1.77495 - 6.62420i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.09629 + 10.7700i) q^{65} +(-0.0601266 - 0.224395i) q^{66} +(2.59390 + 1.81627i) q^{67} +6.00392i q^{68} +(1.42602 - 2.03657i) q^{69} +(3.58798 + 4.15492i) q^{70} +(6.01628 + 2.18975i) q^{71} +(-0.955382 - 2.62489i) q^{72} +(10.3756 + 10.3756i) q^{73} +(-5.19778 + 3.15959i) q^{74} +(-1.56100 + 1.65212i) q^{75} +(2.82908 - 6.06697i) q^{76} +(1.13709 - 0.530232i) q^{77} +(-2.19245 - 0.191814i) q^{78} +(7.37871 + 5.16663i) q^{79} +(1.60339 + 1.55857i) q^{80} +(-1.24729 - 7.07373i) q^{81} +(-3.36710 - 1.94400i) q^{82} +(-4.56752 + 0.399606i) q^{83} +(-0.966524 + 0.558023i) q^{84} +(-3.65816 - 12.9172i) q^{85} +(-7.85806 + 2.86010i) q^{86} +(0.754039 + 0.898628i) q^{87} +(0.442572 - 0.255519i) q^{88} +(0.510072 - 0.357156i) q^{89} +(3.65480 + 5.06522i) q^{90} +(-1.03593 - 11.8407i) q^{91} +(5.13929 + 1.87055i) q^{92} +(1.76207 + 0.641342i) q^{93} +(0.416699 + 4.76289i) q^{94} +(-2.39005 + 14.7766i) q^{95} +(-0.372376 + 0.260741i) q^{96} +(-12.5559 + 7.24913i) q^{97} +(0.625184 + 0.745066i) q^{98} +(1.34142 - 0.488236i) q^{99} +O(q^{100})\)
$\operatorname{Tr}(f)(q)$	$=$	$ 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8}+O(q^{10}) $ 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8	$ 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8} + 12 q^{10} - 36 q^{11} - 6 q^{12} - 6 q^{13} + 12 q^{14} - 24 q^{15} - 12 q^{19} + 12 q^{20} + 42 q^{21} + 6 q^{22} + 6 q^{24} + 6 q^{25} + 6 q^{26} + 6 q^{27} - 36 q^{30} - 18 q^{33} - 30 q^{35} + 12 q^{37} - 48 q^{38} - 12 q^{40} - 30 q^{41} + 42 q^{42} + 6 q^{44} - 30 q^{45} - 6 q^{46} + 12 q^{47} - 60 q^{49} - 48 q^{50} + 12 q^{51} - 6 q^{52} + 12 q^{53} + 18 q^{54} + 36 q^{57} + 6 q^{58} - 24 q^{59} + 54 q^{60} - 72 q^{61} + 6 q^{62} + 96 q^{63} - 60 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 90 q^{73} + 24 q^{74} - 60 q^{75} + 18 q^{76} + 6 q^{77} + 24 q^{78} - 18 q^{79} + 6 q^{80} - 108 q^{81} - 36 q^{82} + 48 q^{83} + 36 q^{85} + 24 q^{86} + 108 q^{87} - 36 q^{88} + 54 q^{89} - 6 q^{90} + 42 q^{91} - 12 q^{92} - 12 q^{93} - 18 q^{94} - 198 q^{95} - 12 q^{96} - 72 q^{97} + 48 q^{98} + 42 q^{99}+O(q^{100}) $ 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8 + 12 * q^10 - 36 * q^11 - 6 * q^12 - 6 * q^13 + 12 * q^14 - 24 * q^15 - 12 * q^19 + 12 * q^20 + 42 * q^21 + 6 * q^22 + 6 * q^24 + 6 * q^25 + 6 * q^26 + 6 * q^27 - 36 * q^30 - 18 * q^33 - 30 * q^35 + 12 * q^37 - 48 * q^38 - 12 * q^40 - 30 * q^41 + 42 * q^42 + 6 * q^44 - 30 * q^45 - 6 * q^46 + 12 * q^47 - 60 * q^49 - 48 * q^50 + 12 * q^51 - 6 * q^52 + 12 * q^53 + 18 * q^54 + 36 * q^57 + 6 * q^58 - 24 * q^59 + 54 * q^60 - 72 * q^61 + 6 * q^62 + 96 * q^63 - 60 * q^64 - 18 * q^65 - 42 * q^67 - 96 * q^69 - 12 * q^70 - 90 * q^73 + 24 * q^74 - 60 * q^75 + 18 * q^76 + 6 * q^77 + 24 * q^78 - 18 * q^79 + 6 * q^80 - 108 * q^81 - 36 * q^82 + 48 * q^83 + 36 * q^85 + 24 * q^86 + 108 * q^87 - 36 * q^88 + 54 * q^89 - 6 * q^90 + 42 * q^91 - 12 * q^92 - 12 * q^93 - 18 * q^94 - 198 * q^95 - 12 * q^96 - 72 * q^97 + 48 * q^98 + 42 * q^99

Display 100 coefficients 10 coefficients

Character values

We give the values of $\chi$ on generators for $\left(\mathbb{Z}/370\mathbb{Z}\right)^\times$.

$n$	$261$	$297$
$\chi(n)$	$e\left(\frac{23}{36}\right)$	$e\left(\frac{1}{4}\right)$

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 $

$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$2$	0.939693	−	0.342020i	0.664463	−	0.241845i
$3$	−0.192117	−	0.411996i	−0.110919	−	0.237866i	0.843011	−	0.537897i	$-0.180781\pi$
$3$	−0.192117	−	0.411996i	−0.110919	−	0.237866i	−0.953930	+	0.300030i	$0.903003\pi$
$4$	0.766044	−	0.642788i	0.383022	−	0.321394i
$5$	−1.25646	+	1.84968i	−0.561907	+	0.827200i
$5$	−1.25646	+	1.84968i	−0.561907	+	0.827200i
$6$	−0.321442	−	0.321442i	−0.131228	−	0.131228i
$7$	1.40817	−	2.01108i	0.532239	−	0.760116i	−0.459529	−	0.888163i	$-0.651982\pi$
$7$	1.40817	−	2.01108i	0.532239	−	0.760116i	0.991768	+	0.128047i	$0.0408707\pi$
$8$	0.500000	−	0.866025i	0.176777	−	0.306186i
$9$	1.79553	−	2.13983i	0.598510	−	0.713277i
$10$	−0.548062	+	2.16786i	−0.173312	+	0.685538i
$11$	0.442572	+	0.255519i	0.133440	+	0.0770418i	0.565234	−	0.824931i	$-0.308786\pi$
$11$	0.442572	+	0.255519i	0.133440	+	0.0770418i	−0.431794	+	0.901972i	$0.642119\pi$
$12$	−0.411996	−	0.192117i	−0.118933	−	0.0554594i
$13$	3.70870	−	3.11197i	1.02861	−	0.863105i	0.0379240	−	0.999281i	$-0.487926\pi$
$13$	3.70870	−	3.11197i	1.02861	−	0.863105i	0.990685	+	0.136175i	$0.0434811\pi$
$14$	0.635420	−	2.37142i	0.169823	−	0.633788i
$15$	1.00345	+	0.162304i	0.259089	+	0.0419066i
$16$	0.173648	−	0.984808i	0.0434120	−	0.246202i
$17$	−3.85924	+	4.59927i	−0.936004	+	1.11549i	0.0571139	+	0.998368i	$0.481810\pi$
$17$	−3.85924	+	4.59927i	−0.936004	+	1.11549i	−0.993118	+	0.117119i	$0.962634\pi$
$18$	0.955382	−	2.62489i	0.225186	−	0.618693i
$19$	6.06697	−	2.82908i	1.39186	−	0.649034i	0.425199	−	0.905100i	$-0.360204\pi$
$19$	6.06697	−	2.82908i	1.39186	−	0.649034i	0.966660	+	0.256065i	$0.0824262\pi$
$20$	0.226443	+	2.22457i	0.0506342	+	0.497430i
$21$	−1.09909	−	0.193799i	−0.239841	−	0.0422905i
$22$	0.503274	+	0.0887408i	0.107298	+	0.0189196i
$23$	2.73456	+	4.73639i	0.570195	+	0.987606i	0.996546	+	0.0830485i	$0.0264656\pi$
$23$	2.73456	+	4.73639i	0.570195	+	0.987606i	−0.426351	+	0.904558i	$0.640201\pi$
$24$	−0.452858	−	0.0396199i	−0.0924392	−	0.00808738i
$25$	−1.84260	−	4.64810i	−0.368521	−	0.929619i
$26$	2.42068	−	4.19275i	0.474735	−	0.822265i
$27$	−2.54385	−	0.681622i	−0.489564	−	0.131178i
$28$	−0.213974	−	2.44573i	−0.0404372	−	0.462200i
$29$	−2.49260	+	0.667890i	−0.462864	+	0.124024i	−0.482712	−	0.875779i	$-0.660348\pi$
$29$	−2.49260	+	0.667890i	−0.462864	+	0.124024i	0.0198483	+	0.999803i	$0.493682\pi$
$30$	0.998443	−	0.190684i	0.182290	−	0.0348139i
$31$	−2.91679	+	2.91679i	−0.523872	+	0.523872i	−0.918738	−	0.394867i	$-0.870791\pi$
$31$	−2.91679	+	2.91679i	−0.523872	+	0.523872i	0.394867	+	0.918738i	$0.370791\pi$
$32$	−0.173648	−	0.984808i	−0.0306970	−	0.174091i
$33$	0.0202473	−	0.231427i	0.00352460	−	0.0402863i
$34$	−2.05346	+	5.64184i	−0.352166	+	0.967567i
$35$	1.95053	+	5.13151i	0.329699	+	0.867383i
$36$		−	2.79335i		−	0.465558i
$37$	−5.96496	+	1.19130i	−0.980634	+	0.195849i
$37$	−5.96496	+	1.19130i	−0.980634	+	0.195849i
$38$	4.73349	−	4.73349i	0.767873	−	0.767873i
$39$	−1.99462	−	0.930109i	−0.319395	−	0.148937i
$40$	0.973635	+	2.01297i	0.153945	+	0.318278i
$41$	−2.49916	−	2.97838i	−0.390303	−	0.465145i	0.534735	−	0.845020i	$-0.320411\pi$
$41$	−2.49916	−	2.97838i	−0.390303	−	0.465145i	−0.925038	+	0.379875i	$0.875967\pi$
$42$	−1.09909	+	0.193799i	−0.169593	+	0.0299039i
$43$	−8.36237			−1.27525			−0.637625	−	0.770347i	$-0.720083\pi$
$43$	−8.36237			−1.27525			−0.637625	+	0.770347i	$0.720083\pi$
$44$	0.503274	−	0.0887408i	0.0758714	−	0.0133782i
$45$	1.70198	+	6.00977i	0.253716	+	0.895883i
$46$	4.18959	+	3.51548i	0.617721	+	0.518329i
$47$	−1.23744	+	4.61817i	−0.180498	+	0.673630i	0.815051	+	0.579389i	$0.196709\pi$
$47$	−1.23744	+	4.61817i	−0.180498	+	0.673630i	−0.995549	+	0.0942403i	$0.969958\pi$
$48$	−0.439098	+	0.117656i	−0.0633783	+	0.0169822i
$49$	0.332654	+	0.913958i	0.0475219	+	0.130565i
$50$	−3.32122	−	3.73758i	−0.469692	−	0.528573i
$51$	2.63631	+	0.706396i	0.369157	+	0.0989153i
$52$	0.840694	−	4.76781i	0.116583	−	0.661177i
$53$	−5.34155	−	7.62853i	−0.733719	−	1.04786i	−0.996548	−	0.0830166i	$-0.973545\pi$
$53$	−5.34155	−	7.62853i	−0.733719	−	1.04786i	0.262829	−	0.964842i	$-0.415344\pi$
$54$	−2.62356	+	0.229532i	−0.357022	+	0.0312353i
$55$	−1.02870	+	0.497564i	−0.138710	+	0.0670916i
$56$	−1.03756	−	2.22505i	−0.138650	−	0.297335i
$57$	−2.33114	−	1.95606i	−0.308767	−	0.259086i
$58$	−2.11385	+	1.48013i	−0.277562	+	0.194351i
$59$	3.28332	+	4.68907i	0.427452	+	0.610465i	0.973886	−	0.227037i	$-0.0729040\pi$
$59$	3.28332	+	4.68907i	0.427452	+	0.610465i	−0.546434	+	0.837502i	$0.684015\pi$
$60$	0.873012	−	0.520672i	0.112705	−	0.0672184i
$61$	−0.507435	+	5.80001i	−0.0649704	+	0.742615i	0.891925	+	0.452183i	$0.149355\pi$
$61$	−0.507435	+	5.80001i	−0.0649704	+	0.742615i	−0.956896	+	0.290432i	$0.906201\pi$
$62$	−1.74329	+	3.73849i	−0.221398	+	0.474789i
$63$	−1.77495	−	6.62420i	−0.223623	−	0.834571i
$64$	−0.500000	−	0.866025i	−0.0625000	−	0.108253i
$65$	1.09629	+	10.7700i	0.135978	+	1.33585i
$66$	−0.0601266	−	0.224395i	−0.00740107	−	0.0276212i
$67$	2.59390	+	1.81627i	0.316895	+	0.221892i	0.721192	−	0.692736i	$-0.243595\pi$
$67$	2.59390	+	1.81627i	0.316895	+	0.221892i	−0.404296	+	0.914628i	$0.632484\pi$
$68$			6.00392i			0.728082i
$69$	1.42602	−	2.03657i	0.171673	−	0.245174i
$70$	3.58798	+	4.15492i	0.428845	+	0.496608i
$71$	6.01628	+	2.18975i	0.714001	+	0.259875i	0.673377	−	0.739299i	$-0.264843\pi$
$71$	6.01628	+	2.18975i	0.714001	+	0.259875i	0.0406242	+	0.999174i	$0.487065\pi$
$72$	−0.955382	−	2.62489i	−0.112593	−	0.309346i
$73$	10.3756	+	10.3756i	1.21438	+	1.21438i	0.969572	+	0.244805i	$0.0787239\pi$
$73$	10.3756	+	10.3756i	1.21438	+	1.21438i	0.244805	+	0.969572i	$0.421276\pi$
$74$	−5.19778	+	3.15959i	−0.604230	+	0.367295i
$75$	−1.56100	+	1.65212i	−0.180249	+	0.190771i
$76$	2.82908	−	6.06697i	0.324517	−	0.695929i
$77$	1.13709	−	0.530232i	0.129583	−	0.0604255i
$78$	−2.19245	−	0.191814i	−0.248246	−	0.0217187i
$79$	7.37871	+	5.16663i	0.830169	+	0.581291i	0.909569	−	0.415552i	$-0.136412\pi$
$79$	7.37871	+	5.16663i	0.830169	+	0.581291i	−0.0794001	+	0.996843i	$0.525300\pi$
$80$	1.60339	+	1.55857i	0.179265	+	0.174253i
$81$	−1.24729	−	7.07373i	−0.138588	−	0.785970i
$82$	−3.36710	−	1.94400i	−0.371834	−	0.214679i
$83$	−4.56752	+	0.399606i	−0.501350	+	0.0438625i	−0.335026	−	0.942209i	$-0.608745\pi$
$83$	−4.56752	+	0.399606i	−0.501350	+	0.0438625i	−0.166324	+	0.986071i	$0.553190\pi$
$84$	−0.966524	+	0.558023i	−0.105456	+	0.0608853i
$85$	−3.65816	−	12.9172i	−0.396783	−	1.40106i
$86$	−7.85806	+	2.86010i	−0.847356	+	0.308412i
$87$	0.754039	+	0.898628i	0.0808414	+	0.0963431i
$88$	0.442572	−	0.255519i	0.0471783	−	0.0272384i
$89$	0.510072	−	0.357156i	0.0540675	−	0.0378585i	−0.546230	−	0.837635i	$-0.683938\pi$
$89$	0.510072	−	0.357156i	0.0540675	−	0.0378585i	0.600298	+	0.799777i	$0.295049\pi$
$90$	3.65480	+	5.06522i	0.385249	+	0.533921i
$91$	−1.03593	−	11.8407i	−0.108594	−	1.24124i
$92$	5.13929	+	1.87055i	0.535808	+	0.195018i
$93$	1.76207	+	0.641342i	0.182719	+	0.0665041i
$94$	0.416699	+	4.76289i	0.0429792	+	0.491255i
$95$	−2.39005	+	14.7766i	−0.245214	+	1.51604i
$96$	−0.372376	+	0.260741i	−0.0380055	+	0.0266117i
$97$	−12.5559	+	7.24913i	−1.27485	+	0.736038i	−0.975898	−	0.218229i	$-0.929972\pi$
$97$	−12.5559	+	7.24913i	−1.27485	+	0.736038i	−0.298957	+	0.954267i	$0.596639\pi$
$98$	0.625184	+	0.745066i	0.0631531	+	0.0752630i
$99$	1.34142	−	0.488236i	0.134818	−	0.0490696i
$100$	−4.39926	−	2.37625i	−0.439926	−	0.237625i
$101$	2.54071	−	1.46688i	0.252810	−	0.145960i	−0.368240	−	0.929731i	$-0.620040\pi$
$101$	2.54071	−	1.46688i	0.252810	−	0.145960i	0.621050	+	0.783771i	$0.286706\pi$
$102$	2.71892	−	0.237875i	0.269213	−	0.0235531i
$103$	3.67112	+	2.11952i	0.361726	+	0.208842i	0.669838	−	0.742508i	$-0.266364\pi$
$103$	3.67112	+	2.11952i	0.361726	+	0.208842i	−0.308112	+	0.951350i	$0.599697\pi$
$104$	−0.840694	−	4.76781i	−0.0824369	−	0.467523i
$105$	1.73943	−	1.78946i	0.169751	−	0.174633i
$106$	−7.62853	−	5.34155i	−0.740948	−	0.518817i
$107$	−15.9576	−	1.39611i	−1.54268	−	0.134967i	−0.716183	−	0.697913i	$-0.754112\pi$
$107$	−15.9576	−	1.39611i	−1.54268	−	0.134967i	−0.826494	+	0.562946i	$0.809668\pi$
$108$	−2.38684	+	1.11300i	−0.229674	+	0.107099i
$109$	0.276797	−	0.593593i	0.0265124	−	0.0568559i	−0.892606	−	0.450838i	$-0.851125\pi$
$109$	0.276797	−	0.593593i	0.0265124	−	0.0568559i	0.919118	+	0.393982i	$0.128903\pi$
$110$	−0.796486	+	0.819394i	−0.0759420	+	0.0781262i
$111$	1.63678	+	2.22867i	0.155357	+	0.211536i
$112$	−1.73600	−	1.73600i	−0.164036	−	0.164036i
$113$	−6.26914	−	17.2243i	−0.589751	−	1.62033i	−0.770961	−	0.636883i	$-0.780224\pi$
$113$	−6.26914	−	17.2243i	−0.589751	−	1.62033i	0.181210	−	0.983444i	$-0.441999\pi$
$114$	−2.85956	−	1.04080i	−0.267823	−	0.0974794i
$115$	−12.1967	−	0.893054i	−1.13734	−	0.0832777i
$116$	−1.48013	+	2.11385i	−0.137427	+	0.196266i
$117$		−	13.5236i		−	1.25026i
$118$	4.68907	+	3.28332i	0.431664	+	0.302254i
$119$	3.81501	+	14.2378i	0.349721	+	1.30518i
$120$	0.642283	−	0.787859i	0.0586321	−	0.0719214i
$121$	−5.36942	−	9.30011i	−0.488129	−	0.845464i
$122$	1.50689	+	5.62378i	0.136427	+	0.509153i
$123$	−0.746950	+	1.60184i	−0.0673502	+	0.144433i
$124$	−0.359515	+	4.10927i	−0.0322854	+	0.369024i
$125$	10.9126	+	2.43194i	0.976056	+	0.217519i
$126$	−3.93352	−	5.61765i	−0.350426	−	0.500460i
$127$	−3.60198	+	2.52214i	−0.319624	+	0.223803i	−0.722367	−	0.691510i	$-0.756946\pi$
$127$	−3.60198	+	2.52214i	−0.319624	+	0.223803i	0.402743	+	0.915313i	$0.368057\pi$
$128$	−0.766044	−	0.642788i	−0.0677094	−	0.0568149i
$129$	1.60655	+	3.44526i	0.141449	+	0.303339i
$130$	4.71372	+	9.74551i	0.413421	+	0.854738i
$131$	17.1300	−	1.49868i	1.49665	−	0.130940i	0.690797	−	0.723049i	$-0.257260\pi$
$131$	17.1300	−	1.49868i	1.49665	−	0.130940i	0.805858	+	0.592109i	$0.201704\pi$
$132$	−0.133248	−	0.190298i	−0.0115978	−	0.0165633i
$133$	2.85385	−	16.1850i	0.247460	−	1.40342i
$134$	3.05867	+	0.819568i	0.264229	+	0.0707999i
$135$	4.45703	−	3.84886i	0.383600	−	0.331257i
$136$	2.05346	+	5.64184i	0.176083	+	0.483784i
$137$	8.78862	−	2.35490i	0.750863	−	0.201193i	0.136962	−	0.990576i	$-0.456266\pi$
$137$	8.78862	−	2.35490i	0.750863	−	0.201193i	0.613901	+	0.789383i	$0.289600\pi$
$138$	0.643474	−	2.40148i	0.0547761	−	0.204427i
$139$	4.58048	+	3.84348i	0.388511	+	0.326000i	0.816033	−	0.578005i	$-0.196169\pi$
$139$	4.58048	+	3.84348i	0.388511	+	0.326000i	−0.427522	+	0.904005i	$0.640613\pi$
$140$	4.79266	+	2.67719i	0.405054	+	0.226264i
$141$	2.14040	−	0.377410i	0.180254	−	0.0317837i
$142$	6.40239			0.537277
$143$	2.43653	−	0.429626i	0.203753	−	0.0359272i
$144$	−1.79553	−	2.13983i	−0.149628	−	0.178319i
$145$	1.89648	−	5.44968i	0.157494	−	0.452571i
$146$	13.2986	+	6.20124i	1.10060	+	0.513218i
$147$	0.312639	−	0.312639i	0.0257860	−	0.0257860i
$148$	−3.80367	+	4.74679i	−0.312660	+	0.390184i
$149$		−	18.1751i		−	1.48896i	−0.667643	−	0.744481i	$-0.732697\pi$
$149$		−	18.1751i		−	1.48896i	0.667643	−	0.744481i	$-0.267303\pi$
$150$	−0.901803	+	2.08638i	−0.0736319	+	0.170352i
$151$	−6.83379	+	18.7757i	−0.556126	+	1.52794i	0.269083	+	0.963117i	$0.413279\pi$
$151$	−6.83379	+	18.7757i	−0.556126	+	1.52794i	−0.825209	+	0.564827i	$0.808943\pi$
$152$	0.583435	−	6.66869i	0.0473228	−	0.540902i
$153$	2.91226	+	16.5163i	0.235442	+	1.33526i
$154$	0.887161	−	0.887161i	0.0714895	−	0.0714895i
$155$	−1.73028	−	9.05997i	−0.138980	−	0.727714i
$156$	−2.12583	+	0.569615i	−0.170203	+	0.0456057i
$157$	−0.582326	−	6.65602i	−0.0464747	−	0.531208i	−0.983372	−	0.181603i	$-0.941871\pi$
$157$	−0.582326	−	6.65602i	−0.0464747	−	0.531208i	0.936897	−	0.349605i	$-0.113684\pi$
$158$	8.70081	+	2.33137i	0.692199	+	0.185474i
$159$	−2.11672	+	3.66627i	−0.167867	+	0.290754i
$160$	2.03976	+	0.916181i	0.161257	+	0.0724305i
$161$	13.3760	+	1.17025i	1.05418	+	0.0922284i
$162$	−3.59143	−	6.22054i	−0.282169	−	0.488731i
$163$	−9.78668	−	1.72566i	−0.766552	−	0.135164i	−0.223318	−	0.974746i	$-0.571689\pi$
$163$	−9.78668	−	1.72566i	−0.766552	−	0.135164i	−0.543233	+	0.839582i	$0.682800\pi$
$164$	−3.82893	−	0.675144i	−0.298989	−	0.0527199i
$165$	0.402626	+	0.328231i	0.0313444	+	0.0255527i
$166$	−4.15539	+	1.93769i	−0.322521	+	0.150394i
$167$	−8.25619	+	22.6837i	−0.638883	+	1.75532i	0.0163243	+	0.999867i	$0.494804\pi$
$167$	−8.25619	+	22.6837i	−0.638883	+	1.75532i	−0.655207	+	0.755449i	$0.727419\pi$
$168$	−0.717380	+	0.854941i	−0.0553471	+	0.0659601i
$169$	1.81268	−	10.2802i	0.139437	−	0.790787i
$170$	−7.85547	−	10.8870i	−0.602487	−	0.834994i
$171$	4.83969	−	18.0620i	0.370101	−	1.38123i
$172$	−6.40595	+	5.37523i	−0.488449	+	0.409857i
$173$	−1.50279	−	0.700763i	−0.114255	−	0.0532780i	0.364650	−	0.931145i	$-0.381189\pi$
$173$	−1.50279	−	0.700763i	−0.114255	−	0.0532780i	−0.478905	+	0.877867i	$0.658966\pi$
$174$	1.01591	+	0.586538i	0.0770162	+	0.0444653i
$175$	−11.9424	−	2.83970i	−0.902760	−	0.214661i
$176$	0.328489	−	0.391478i	0.0247608	−	0.0295087i
$177$	1.30110	−	2.25356i	0.0977964	−	0.169388i
$178$	0.357156	−	0.510072i	0.0267700	−	0.0382315i
$179$	−7.81463	−	7.81463i	−0.584093	−	0.584093i	0.351933	−	0.936025i	$-0.385525\pi$
$179$	−7.81463	−	7.81463i	−0.584093	−	0.584093i	−0.936025	+	0.351933i	$0.885525\pi$
$180$	5.16679	+	3.50974i	0.385110	+	0.261601i
$181$	−8.93766	+	7.49959i	−0.664331	+	0.557440i	−0.911382	−	0.411562i	$-0.864983\pi$
$181$	−8.93766	+	7.49959i	−0.664331	+	0.557440i	0.247050	+	0.969003i	$0.420539\pi$
$182$	−5.02320	−	10.7723i	−0.372345	−	0.798495i
$183$	2.48707	−	0.905219i	0.183849	−	0.0669157i
$184$	5.46912			0.403189
$185$	5.29123	−	12.5301i	0.389019	−	0.921230i
$186$	1.87516			0.137493
$187$	−2.88319	+	1.04940i	−0.210840	+	0.0767394i
$188$	2.02057	+	4.33313i	0.147365	+	0.316026i
$189$	−4.95297	+	4.15604i	−0.360276	+	0.302307i
$190$	2.80797	+	14.7029i	0.203712	+	1.06666i
$191$	14.2339	+	14.2339i	1.02993	+	1.02993i	0.999538	+	0.0303933i	$0.00967596\pi$
$191$	14.2339	+	14.2339i	1.02993	+	1.02993i	0.0303933	+	0.999538i	$0.490324\pi$
$192$	−0.260741	+	0.372376i	−0.0188173	+	0.0268739i
$193$	10.9320	−	18.9347i	0.786900	−	1.36295i	−0.140958	−	0.990016i	$-0.545018\pi$
$193$	10.9320	−	18.9347i	0.786900	−	1.36295i	0.927858	−	0.372935i	$-0.121648\pi$
$194$	−9.31930	+	11.1063i	−0.669087	+	0.797387i
$195$	4.22657	−	2.52076i	0.302671	−	0.180516i
$196$	0.842308	+	0.486307i	0.0601649	+	0.0347362i
$197$	−3.27651	−	1.52786i	−0.233441	−	0.108855i	0.302378	−	0.953188i	$-0.402219\pi$
$197$	−3.27651	−	1.52786i	−0.233441	−	0.108855i	−0.535819	+	0.844333i	$0.679997\pi$
$198$	1.09353	−	0.917584i	0.0777141	−	0.0652098i
$199$	−0.0962600	+	0.359247i	−0.00682369	+	0.0254664i	−0.969254	−	0.246063i	$-0.920863\pi$
$199$	−0.0962600	+	0.359247i	−0.00682369	+	0.0254664i	0.962430	+	0.271530i	$0.0875295\pi$
$200$	−4.94667	−	0.728307i	−0.349783	−	0.0514991i
$201$	0.249963	−	1.41761i	0.0176311	−	0.0999907i
$202$	1.88578	−	2.24739i	0.132683	−	0.158126i
$203$	−2.16683	+	5.95332i	−0.152082	+	0.417841i
$204$	2.47359	−	1.15345i	0.173186	−	0.0807580i
$205$	8.64913	−	0.880409i	0.604081	−	0.0614904i
$206$	4.17464	+	0.736102i	0.290861	+	0.0512866i
$207$	15.0451	+	2.65285i	1.04570	+	0.184386i
$208$	−2.42068	−	4.19275i	−0.167844	−	0.290715i
$209$	3.40795	+	0.298157i	0.235733	+	0.0206240i
$210$	1.02250	−	2.27646i	0.0705592	−	0.157091i
$211$	10.8610	−	18.8117i	0.747700	−	1.29505i	−0.201223	−	0.979546i	$-0.564492\pi$
$211$	10.8610	−	18.8117i	0.747700	−	1.29505i	0.948923	−	0.315509i	$-0.102175\pi$
$212$	−8.99539	−	2.41031i	−0.617806	−	0.165541i
$213$	−0.253662	−	2.89937i	−0.0173806	−	0.198662i
$214$	−15.4727	+	4.14590i	−1.05769	+	0.283408i
$215$	10.5070	−	15.4677i	0.716572	−	1.05489i
$216$	−1.86223	+	1.86223i	−0.126708	+	0.126708i
$217$	1.75855	+	9.97325i	0.119378	+	0.677028i
$218$	0.0570833	−	0.652465i	0.00386617	−	0.0441905i
$219$	2.28139	−	6.26806i	0.154162	−	0.423556i
$220$	−0.468203	+	1.04239i	−0.0315662	+	0.0702781i
$221$			29.0672i			1.95527i
$222$	2.30032	+	1.53446i	0.154388	+	0.102986i
$223$	10.6681	−	10.6681i	0.714386	−	0.714386i	−0.253064	−	0.967450i	$-0.581438\pi$
$223$	10.6681	−	10.6681i	0.714386	−	0.714386i	0.967450	+	0.253064i	$0.0814383\pi$
$224$	−2.22505	−	1.03756i	−0.148668	−	0.0693248i
$225$	−13.2546	−	4.40294i	−0.883640	−	0.293529i
$226$	−11.7821	−	14.0414i	−0.783735	−	0.934019i
$227$	2.18928	−	0.386029i	0.145308	−	0.0256217i	−0.100521	−	0.994935i	$-0.532051\pi$
$227$	2.18928	−	0.386029i	0.145308	−	0.0256217i	0.245829	+	0.969313i	$0.420940\pi$
$228$	−3.04308			−0.201533
$229$	−14.3427	+	2.52901i	−0.947793	+	0.167121i	−0.626118	−	0.779729i	$-0.715357\pi$
$229$	−14.3427	+	2.52901i	−0.947793	+	0.167121i	−0.321675	+	0.946850i	$0.604246\pi$
$230$	−11.7666	+	3.33231i	−0.775864	+	0.219726i
$231$	−0.436907	−	0.366608i	−0.0287464	−	0.0241211i
$232$	−0.667890	+	2.49260i	−0.0438491	+	0.163647i
$233$	−15.0911	+	4.04364i	−0.988649	+	0.264908i	−0.716683	−	0.697399i	$-0.754341\pi$
$233$	−15.0911	+	4.04364i	−0.988649	+	0.264908i	−0.271966	+	0.962307i	$0.587674\pi$
$234$	−4.62535	−	12.7081i	−0.302369	−	0.830752i
$235$	−6.98733	−	8.09141i	−0.455803	−	0.527826i
$236$	5.52924	+	1.48156i	0.359923	+	0.0964411i
$237$	0.711055	−	4.03259i	0.0461880	−	0.261945i
$238$	8.45455	+	12.0743i	0.548027	+	0.782664i
$239$	24.4269	−	2.13708i	1.58004	−	0.138236i	0.736929	−	0.675970i	$-0.236275\pi$
$239$	24.4269	−	2.13708i	1.58004	−	0.138236i	0.843115	+	0.537734i	$0.180720\pi$
$240$	0.334085	−	0.960019i	0.0215651	−	0.0619690i
$241$	3.52310	+	7.55531i	0.226943	+	0.486681i	0.986500	−	0.163760i	$-0.0523622\pi$
$241$	3.52310	+	7.55531i	0.226943	+	0.486681i	−0.759557	+	0.650440i	$0.774584\pi$
$242$	−8.22643	−	6.90279i	−0.528815	−	0.443728i
$243$	−9.14664	+	6.40455i	−0.586757	+	0.410852i
$244$	3.33946	+	4.76924i	0.213787	+	0.305319i
$245$	−2.10849	−	0.533053i	−0.134707	−	0.0340555i
$246$	−0.154042	+	1.76071i	−0.00982136	+	0.112259i
$247$	13.6966	−	29.3724i	0.871493	−	1.86892i
$248$	1.06762	+	3.98442i	0.0677940	+	0.253011i
$249$	1.04213	+	1.80503i	0.0660426	+	0.114389i
$250$	11.0863	−	1.44707i	0.701159	−	0.0915205i
$251$	−2.35914	−	8.80444i	−0.148908	−	0.555732i	−0.999550	−	0.0299870i	$-0.990453\pi$
$251$	−2.35914	−	8.80444i	−0.148908	−	0.555732i	0.850642	−	0.525745i	$-0.176213\pi$
$252$	−5.61765	−	3.93352i	−0.353878	−	0.247788i
$253$			2.79492i			0.175715i
$254$	−2.52214	+	3.60198i	−0.158253	+	0.226009i
$255$	−4.61902	+	3.98875i	−0.289255	+	0.249785i
$256$	−0.939693	−	0.342020i	−0.0587308	−	0.0213763i
$257$	1.53371	+	4.21384i	0.0956704	+	0.262852i	0.978292	−	0.207232i	$-0.0664456\pi$
$257$	1.53371	+	4.21384i	0.0956704	+	0.262852i	−0.882621	+	0.470085i	$0.844223\pi$
$258$	2.68802	+	2.68802i	0.167349	+	0.167349i
$259$	−6.00390	+	13.6736i	−0.373064	+	0.849634i
$260$	7.76261	+	7.54559i	0.481417	+	0.467958i
$261$	−3.04637	+	6.53296i	−0.188565	+	0.404380i
$262$	15.5843	−	7.26710i	0.962804	−	0.448963i
$263$	−3.39756	−	0.297248i	−0.209502	−	0.0183291i	−0.0180785	−	0.999837i	$-0.505755\pi$
$263$	−3.39756	−	0.297248i	−0.209502	−	0.0183291i	−0.191424	+	0.981508i	$0.561310\pi$
$264$	−0.190298	−	0.133248i	−0.0117120	−	0.00820087i
$265$	20.8218	−	0.295184i	1.27907	−	0.0181330i
$266$	−2.85385	−	16.1850i	−0.174981	−	0.992365i
$267$	−0.245141	−	0.141532i	−0.0150024	−	0.00866162i
$268$	3.15452	−	0.275984i	0.192693	−	0.0168584i
$269$	14.2126	−	8.20563i	0.866556	−	0.500306i	0.000353613	−	1.00000i	$-0.499887\pi$
$269$	14.2126	−	8.20563i	0.866556	−	0.500306i	0.866202	+	0.499694i	$0.166554\pi$
$270$	2.87185	−	5.14114i	0.174775	−	0.312880i
$271$	8.93169	−	3.25087i	0.542561	−	0.197476i	−0.0561771	−	0.998421i	$-0.517891\pi$
$271$	8.93169	−	3.25087i	0.542561	−	0.197476i	0.598738	+	0.800945i	$0.295669\pi$
$272$	3.85924	+	4.59927i	0.234001	+	0.278872i
$273$	−4.67930	+	2.70159i	−0.283204	+	0.163508i
$274$	7.45318	−	5.21877i	0.450263	−	0.315277i
$275$	0.372192	−	2.52794i	0.0224440	−	0.152440i
$276$	−0.216686	−	2.47673i	−0.0130430	−	0.149082i
$277$	22.8596	+	8.32023i	1.37350	+	0.499914i	0.920202	−	0.391444i	$-0.128024\pi$
$277$	22.8596	+	8.32023i	1.37350	+	0.499914i	0.453300	+	0.891358i	$0.350246\pi$
$278$	5.61879	+	2.04507i	0.336993	+	0.122655i
$279$	1.00425	+	11.4786i	0.0601229	+	0.687208i
$280$	5.41928	+	0.876547i	0.323864	+	0.0523837i
$281$	−21.1549	+	14.8128i	−1.26200	+	0.883658i	−0.996753	−	0.0805234i	$-0.974341\pi$
$281$	−21.1549	+	14.8128i	−1.26200	+	0.883658i	−0.265242	+	0.964182i	$0.585452\pi$
$282$	1.88224	−	1.08671i	0.112086	−	0.0647126i
$283$	−7.26986	−	8.66388i	−0.432148	−	0.515014i	0.505392	−	0.862890i	$-0.331348\pi$
$283$	−7.26986	−	8.66388i	−0.432148	−	0.515014i	−0.937541	+	0.347875i	$0.886903\pi$
$284$	6.01628	−	2.18975i	0.357001	−	0.129938i
$285$	6.54706	−	1.85414i	0.387814	−	0.109830i
$286$	2.14265	−	1.23706i	0.126698	−	0.0731489i
$287$	−9.50899	+	0.831929i	−0.561298	+	0.0491072i
$288$	−2.41911	−	1.39668i	−0.142548	−	0.0822999i
$289$	−3.30748	−	18.7577i	−0.194558	−	1.10339i
$290$	−0.0817947	−	5.76966i	−0.00480315	−	0.338806i
$291$	5.39881	+	3.78029i	0.316484	+	0.221604i
$292$	14.6175	+	1.27887i	0.855427	+	0.0748401i
$293$	−26.0180	+	12.1324i	−1.51999	+	0.708783i	−0.990240	−	0.139371i	$-0.955492\pi$
$293$	−26.0180	+	12.1324i	−1.51999	+	0.708783i	−0.529750	+	0.848154i	$0.677714\pi$
$294$	0.186856	−	0.400713i	0.0108976	−	0.0233701i
$295$	−12.7986	+	0.181442i	−0.745165	+	0.0105640i
$296$	−1.95079	+	5.76146i	−0.113387	+	0.334878i
$297$	−0.951667	−	0.951667i	−0.0552213	−	0.0552213i
$298$	−6.21625	−	17.0790i	−0.360098	−	0.989361i
$299$	24.8812	+	9.05601i	1.43892	+	0.523722i
$300$	−0.133833	+	2.26899i	−0.00772683	+	0.131000i
$301$	−11.7757	+	16.8174i	−0.678738	+	0.969338i
$302$			19.9807i			1.14976i
$303$	−1.09246	−	0.764950i	−0.0627603	−	0.0439452i
$304$	−1.73258	−	6.46607i	−0.0993701	−	0.370854i
$305$	−10.0906	−	8.22609i	−0.577784	−	0.471024i
$306$	8.38552	+	14.5241i	0.479368	+	0.830290i
$307$	−0.553114	−	2.06425i	−0.0315679	−	0.117813i	0.948344	−	0.317244i	$-0.102757\pi$
$307$	−0.553114	−	2.06425i	−0.0315679	−	0.117813i	−0.979912	+	0.199431i	$0.936091\pi$
$308$	0.530232	−	1.13709i	0.0302128	−	0.0647915i
$309$	0.167950	−	1.91968i	0.00955436	−	0.109207i
$310$	−4.72463	−	7.92179i	−0.268341	−	0.449928i
$311$	5.56701	+	7.95051i	0.315676	+	0.450832i	0.945364	−	0.326016i	$-0.105706\pi$
$311$	5.56701	+	7.95051i	0.315676	+	0.450832i	−0.629688	+	0.776848i	$0.716817\pi$
$312$	−1.80281	+	1.26234i	−0.102064	+	0.0714660i
$313$	−13.8915	−	11.6563i	−0.785192	−	0.658854i	0.159358	−	0.987221i	$-0.449057\pi$
$313$	−13.8915	−	11.6563i	−0.785192	−	0.658854i	−0.944550	+	0.328367i	$0.893502\pi$
$314$	−2.82370	−	6.05544i	−0.159351	−	0.341728i
$315$	14.4828	+	5.03998i	0.816013	+	0.283971i
$316$	8.97346	−	0.785076i	0.504797	−	0.0441640i
$317$	5.22536	+	7.46259i	0.293485	+	0.419141i	0.938633	−	0.344917i	$-0.112093\pi$
$317$	5.22536	+	7.46259i	0.293485	+	0.419141i	−0.645148	+	0.764058i	$0.723204\pi$
$318$	−0.735130	+	4.16913i	−0.0412240	+	0.233793i
$319$	−1.27381	−	0.341317i	−0.0713198	−	0.0191101i
$320$	2.23010	+	0.163290i	0.124666	+	0.00912821i
$321$	2.49053	+	6.84267i	0.139008	+	0.381921i
$322$	12.9696	−	3.47519i	0.722766	−	0.193664i
$323$	−10.4022	+	38.8217i	−0.578797	+	2.16010i
$324$	−5.50239	−	4.61705i	−0.305688	−	0.256503i
$325$	−21.2984	−	11.5043i	−1.18142	−	0.638142i
$326$	−9.78668	+	1.72566i	−0.542034	+	0.0955752i
$327$	−0.297736			−0.0164648
$328$	−3.82893	+	0.675144i	−0.211417	+	0.0372786i
$329$	7.54498	+	8.99176i	0.415968	+	0.495732i
$330$	0.490606	+	0.170730i	0.0270070	+	0.00939837i
$331$	−22.3812	−	10.4365i	−1.23018	−	0.573644i	−0.304706	−	0.952446i	$-0.598558\pi$
$331$	−22.3812	−	10.4365i	−1.23018	−	0.573644i	−0.925478	+	0.378802i	$0.876336\pi$
$332$	−3.24206	+	3.24206i	−0.177931	+	0.177931i
$333$	−8.16110	+	14.9030i	−0.447225	+	0.816681i
$334$			24.1395i			1.32085i
$335$	−6.61864	+	2.51580i	−0.361615	+	0.137453i
$336$	−0.381710	+	1.04874i	−0.0208240	+	0.0572135i
$337$	0.914508	−	10.4529i	0.0498164	−	0.569404i	−0.929738	−	0.368223i	$-0.879966\pi$
$337$	0.914508	−	10.4529i	0.0498164	−	0.569404i	0.979554	−	0.201182i	$-0.0644781\pi$
$338$	−1.81268	−	10.2802i	−0.0985969	−	0.559171i
$339$	−5.89194	+	5.89194i	−0.320006	+	0.320006i
$340$	−11.1053	−	7.54370i	−0.602270	−	0.409114i
$341$	−2.03619	+	0.545594i	−0.110266	+	0.0295456i
$342$	−1.62974	−	18.6280i	−0.0881261	−	1.00729i
$343$	18.9064	+	5.06596i	1.02085	+	0.273536i
$344$	−4.18118	+	7.24202i	−0.225434	+	0.390464i
$345$	1.97525	+	5.19655i	0.106344	+	0.279773i
$346$	−1.65184	−	0.144517i	−0.0888033	−	0.00776928i
$347$	3.65928	+	6.33805i	0.196440	+	0.340244i	0.947372	−	0.320136i	$-0.103729\pi$
$347$	3.65928	+	6.33805i	0.196440	+	0.340244i	−0.750932	+	0.660380i	$0.770395\pi$
$348$	1.15525	+	0.203703i	0.0619281	+	0.0109196i
$349$	0.606602	+	0.106960i	0.0324707	+	0.00572546i	0.189860	−	0.981811i	$-0.439197\pi$
$349$	0.606602	+	0.106960i	0.0324707	+	0.00572546i	−0.157389	+	0.987537i	$0.550308\pi$
$350$	−12.1934	+	1.41609i	−0.651765	+	0.0756934i
$351$	−11.5556	+	5.38844i	−0.616790	+	0.287614i
$352$	0.174785	−	0.480218i	0.00931608	−	0.0255957i
$353$	10.4175	−	12.4151i	0.554469	−	0.660790i	−0.413897	−	0.910324i	$-0.635833\pi$
$353$	10.4175	−	12.4151i	0.554469	−	0.660790i	0.968366	+	0.249533i	$0.0802772\pi$
$354$	0.451866	−	2.56266i	0.0240164	−	0.136204i
$355$	−11.6096	+	8.37684i	−0.616171	+	0.444596i
$356$	0.161162	−	0.601466i	0.00854158	−	0.0318776i
$357$	5.13299	−	4.30709i	0.271667	−	0.227955i
$358$	−10.0161	−	4.67059i	−0.529368	−	0.246848i
$359$	−29.7485	−	17.1753i	−1.57007	−	0.906478i	−0.996160	−	0.0875568i	$-0.972094\pi$
$359$	−29.7485	−	17.1753i	−1.57007	−	0.906478i	−0.573906	−	0.818921i	$-0.694573\pi$
$360$	6.05560	+	1.53093i	0.319158	+	0.0806870i
$361$	16.5915	−	19.7730i	0.873238	−	1.04068i
$362$	−5.83365	+	10.1042i	−0.306610	+	0.531063i
$363$	−2.80005	+	3.99889i	−0.146965	+	0.209887i
$364$	−8.40461	−	8.40461i	−0.440521	−	0.440521i
$365$	−32.2282	+	6.15497i	−1.68690	+	0.322166i
$366$	2.02748	−	1.70126i	0.105978	−	0.0889260i
$367$	5.81449	+	12.4692i	0.303514	+	0.650888i	0.997618	−	0.0689875i	$-0.0219769\pi$
$367$	5.81449	+	12.4692i	0.303514	+	0.650888i	−0.694104	+	0.719875i	$0.744199\pi$
$368$	5.13929	−	1.87055i	0.267904	−	0.0975091i
$369$	−10.8605			−0.565377
$370$	0.686593	−	13.5841i	0.0356943	−	0.706205i
$371$	−22.8634			−1.18701
$372$	1.76207	−	0.641342i	0.0913593	−	0.0332521i
$373$	14.2665	+	30.5946i	0.738692	+	1.58413i	0.809830	+	0.586664i	$0.199559\pi$
$373$	14.2665	+	30.5946i	0.738692	+	1.58413i	−0.0711381	+	0.997466i	$0.522663\pi$
$374$	−2.35040	+	1.97222i	−0.121536	+	0.101981i
$375$	−1.09455	−	4.96318i	−0.0565225	−	0.256298i
$376$	3.38074	+	3.38074i	0.174348	+	0.174348i
$377$	−7.16585	+	10.2339i	−0.369060	+	0.527073i
$378$	−3.23282	+	5.59941i	−0.166278	+	0.288003i
$379$	−7.64435	+	9.11018i	−0.392664	+	0.467958i	−0.925769	−	0.378091i	$-0.876581\pi$
$379$	−7.64435	+	9.11018i	−0.392664	+	0.467958i	0.533105	+	0.846049i	$0.321025\pi$
$380$	7.66731	+	12.8558i	0.393325	+	0.659488i
$381$	1.73111	+	0.999458i	0.0886876	+	0.0512038i
$382$	18.2438	+	8.50723i	0.933435	+	0.435268i
$383$	18.8273	−	15.7980i	0.962030	−	0.807239i	−0.0192522	−	0.999815i	$-0.506129\pi$
$383$	18.8273	−	15.7980i	0.962030	−	0.807239i	0.981282	+	0.192576i	$0.0616841\pi$
$384$	−0.117656	+	0.439098i	−0.00600410	+	0.0224076i
$385$	−0.447948	+	2.76946i	−0.0228296	+	0.141145i
$386$	3.79663	−	21.5318i	0.193243	−	1.09594i
$387$	−15.0149	+	17.8941i	−0.763250	+	0.909606i
$388$	−4.95870	+	13.6239i	−0.251740	+	0.691649i
$389$	−4.32648	+	2.01747i	−0.219361	+	0.102290i	−0.529193	−	0.848502i	$-0.677505\pi$
$389$	−4.32648	+	2.01747i	−0.219361	+	0.102290i	0.309831	+	0.950791i	$0.399727\pi$
$390$	3.10953	−	3.81431i	0.157457	−	0.193145i
$391$	−32.3373	−	5.70193i	−1.63537	−	0.288359i
$392$	0.957838	+	0.168893i	0.0483781	+	0.00853037i
$393$	−3.90841	−	6.76957i	−0.197153	−	0.341480i
$394$	−3.60147	−	0.315088i	−0.181439	−	0.0158739i
$395$	−18.8277	+	7.15655i	−0.947322	+	0.360085i
$396$	0.713754	−	1.23626i	0.0358675	−	0.0621243i
$397$	7.87402	+	2.10984i	0.395186	+	0.105890i	0.450939	−	0.892555i	$-0.351089\pi$
$397$	7.87402	+	2.10984i	0.395186	+	0.105890i	−0.0557531	+	0.998445i	$0.517756\pi$
$398$	0.0324150	+	0.370505i	0.00162482	+	0.0185717i
$399$	−7.21642	+	1.93363i	−0.361273	+	0.0968028i
$400$	−4.89745	+	1.00748i	−0.244872	+	0.0503739i
$401$	−20.6686	+	20.6686i	−1.03214	+	1.03214i	−0.0326748	+	0.999466i	$0.510403\pi$
$401$	−20.6686	+	20.6686i	−1.03214	+	1.03214i	−0.999466	+	0.0326748i	$0.989597\pi$
$402$	−0.249963	−	1.41761i	−0.0124670	−	0.0707041i
$403$	−1.74054	+	19.8945i	−0.0867026	+	0.991016i
$404$	1.00340	−	2.75683i	0.0499212	−	0.137157i
$405$	14.6513	+	6.58080i	0.728028	+	0.327002i
$406$			6.33539i			0.314420i
$407$	−2.94432	−	0.996925i	−0.145945	−	0.0494157i
$408$	1.92991	−	1.92991i	0.0955448	−	0.0955448i
$409$	3.63472	+	1.69490i	0.179725	+	0.0838073i	0.510398	−	0.859938i	$-0.329498\pi$
$409$	3.63472	+	1.69490i	0.179725	+	0.0838073i	−0.330673	+	0.943745i	$0.607276\pi$
$410$	7.82641	−	3.78549i	0.386519	−	0.186952i
$411$	−2.65865	−	3.16846i	−0.131142	−	0.156289i
$412$	4.17464	−	0.736102i	0.205670	−	0.0362651i
$413$	14.0536			0.691531
$414$	15.0451	−	2.65285i	0.739425	−	0.130381i
$415$	4.99977	−	8.95052i	0.245429	−	0.439364i
$416$	−3.70870	−	3.11197i	−0.181834	−	0.152577i
$417$	0.703511	−	2.62554i	0.0344511	−	0.128573i
$418$	3.30440	−	0.885412i	0.161624	−	0.0433069i
$419$	−9.35099	−	25.6916i	−0.456826	−	1.25512i	−0.927835	−	0.372990i	$-0.878332\pi$
$419$	−9.35099	−	25.6916i	−0.456826	−	1.25512i	0.471010	−	0.882128i	$-0.343890\pi$
$420$	0.182239	−	2.48889i	0.00889238	−	0.121445i
$421$	−20.9743	−	5.62004i	−1.02222	−	0.273904i	−0.291495	−	0.956572i	$-0.594153\pi$
$421$	−20.9743	−	5.62004i	−1.02222	−	0.273904i	−0.730728	+	0.682668i	$0.760819\pi$
$422$	3.77197	−	21.3919i	0.183617	−	1.04134i
$423$	7.66025	+	10.9400i	0.372454	+	0.531920i
$424$	−9.27728	+	0.811656i	−0.450544	+	0.0394175i
$425$	28.4889	+	9.46351i	1.38191	+	0.459048i
$426$	−1.23001	−	2.63776i	−0.0595941	−	0.127800i
$427$	10.9497	+	9.18791i	0.529894	+	0.444634i
$428$	−13.1216	+	9.18785i	−0.634257	+	0.444111i
$429$	−0.645104	−	0.921304i	−0.0311459	−	0.0444810i
$430$	4.58310	−	18.1285i	0.221017	−	0.874232i
$431$	2.66925	−	30.5097i	0.128573	−	1.46960i	−0.608375	−	0.793650i	$-0.708178\pi$
$431$	2.66925	−	30.5097i	0.128573	−	1.46960i	0.736948	−	0.675949i	$-0.236266\pi$
$432$	−1.11300	+	2.38684i	−0.0535493	+	0.114837i
$433$	−0.672942	−	2.51145i	−0.0323395	−	0.120693i	0.947869	−	0.318660i	$-0.103233\pi$
$433$	−0.672942	−	2.51145i	−0.0323395	−	0.120693i	−0.980209	+	0.197967i	$0.936566\pi$
$434$	5.06355	+	8.77033i	0.243058	+	0.420989i
$435$	−2.60959	+	0.265635i	−0.125120	+	0.0127362i
$436$	−0.169516	−	0.632641i	−0.00811832	−	0.0302980i
$437$	29.9901	+	20.9993i	1.43462	+	1.00453i
$438$		−	6.67033i		−	0.318721i
$439$	9.04045	−	12.9111i	0.431477	−	0.616213i	−0.543261	−	0.839564i	$-0.682811\pi$
$439$	9.04045	−	12.9111i	0.431477	−	0.616213i	0.974738	+	0.223351i	$0.0716995\pi$
$440$	−0.0834475	+	1.13966i	−0.00397820	+	0.0543313i
$441$	2.55301	+	0.929218i	0.121572	+	0.0442485i
$442$	9.94155	+	27.3142i	0.472872	+	1.29920i
$443$	18.1658	+	18.1658i	0.863085	+	0.863085i	0.991695	−	0.128610i	$-0.0410515\pi$
$443$	18.1658	+	18.1658i	0.863085	+	0.863085i	−0.128610	+	0.991695i	$0.541052\pi$
$444$	2.68641	+	0.655159i	0.127491	+	0.0310925i
$445$	0.0197371	+	1.39222i	0.000935629	+	0.0659976i
$446$	6.37600	−	13.6734i	0.301912	−	0.647453i
$447$	−7.48807	+	3.49175i	−0.354174	+	0.165154i
$448$	−2.44573	−	0.213974i	−0.115550	−	0.0101093i
$449$	−7.90284	−	5.53363i	−0.372958	−	0.261148i	0.372037	−	0.928218i	$-0.378659\pi$
$449$	−7.90284	−	5.53363i	−0.372958	−	0.261148i	−0.744995	+	0.667070i	$0.767548\pi$
$450$	−13.9611	+	0.395925i	−0.658134	+	0.0186641i
$451$	−0.345024	−	1.95673i	−0.0162465	−	0.0921387i
$452$	−15.8740	−	9.16486i	−0.746651	−	0.431079i
$453$	9.04840	−	0.791632i	0.425131	−	0.0371941i
$454$	1.92522	−	1.11153i	0.0903551	−	0.0521665i
$455$	23.2030	+	12.9612i	1.08777	+	0.607632i
$456$	−2.85956	+	1.04080i	−0.133911	+	0.0487397i
$457$	11.0136	+	13.1255i	0.515196	+	0.613986i	0.959438	−	0.281921i	$-0.0909715\pi$
$457$	11.0136	+	13.1255i	0.515196	+	0.613986i	−0.444242	+	0.895907i	$0.646527\pi$
$458$	−12.6128	+	7.28198i	−0.589356	+	0.340265i
$459$	12.9523	−	9.06929i	0.604561	−	0.423318i
$460$	−9.91723	+	7.15575i	−0.462393	+	0.333638i
$461$	−0.360626	−	4.12197i	−0.0167960	−	0.191979i	−0.999957	−	0.00923949i	$-0.997059\pi$
$461$	−0.360626	−	4.12197i	−0.0167960	−	0.191979i	0.983161	−	0.182740i	$-0.0584966\pi$
$462$	−0.535946	−	0.195068i	−0.0249344	−	0.00907539i
$463$	31.1803	+	11.3487i	1.44907	+	0.527419i	0.942332	−	0.334680i	$-0.108628\pi$
$463$	31.1803	+	11.3487i	1.44907	+	0.527419i	0.506740	+	0.862099i	$0.330850\pi$
$464$	0.224908	+	2.57071i	0.0104411	+	0.119342i
$465$	−3.40026	+	2.45344i	−0.157683	+	0.113776i
$466$	−12.7980	+	8.96123i	−0.592854	+	0.415121i
$467$	17.5474	−	10.1310i	0.811995	−	0.468805i	−0.0356533	−	0.999364i	$-0.511351\pi$
$467$	17.5474	−	10.1310i	0.811995	−	0.468805i	0.847648	+	0.530559i	$0.178018\pi$
$468$	−8.69282	−	10.3597i	−0.401826	−	0.478877i
$469$	7.30531	−	2.65892i	0.337328	−	0.122777i
$470$	−9.33337	−	5.21363i	−0.430516	−	0.240487i
$471$	−2.63038	+	1.51865i	−0.121201	+	0.0699757i
$472$	5.70251	−	0.498905i	0.262479	−	0.0229640i
$473$	−3.70095	−	2.13674i	−0.170170	−	0.0982475i
$474$	−0.711055	−	4.03259i	−0.0326599	−	0.185223i
$475$	−24.3288	−	22.9870i	−1.11628	−	1.05472i
$476$	12.0743	+	8.45455i	0.553427	+	0.387514i
$477$	−25.9147	−	2.26724i	−1.18655	−	0.103810i
$478$	22.2228	−	10.3627i	1.01645	−	0.473978i
$479$	0.105953	−	0.227218i	0.00484113	−	0.0103818i	−0.903872	−	0.427802i	$-0.859288\pi$
$479$	0.105953	−	0.227218i	0.00484113	−	0.0103818i	0.908713	+	0.417420i	$0.137066\pi$
$480$	−0.0144090	−	1.01639i	−0.000657678	−	0.0463915i
$481$	−18.4150	+	22.9810i	−0.839651	+	1.04784i
$482$	5.89470	+	5.89470i	0.268496	+	0.268496i
$483$	−2.08762	−	5.73568i	−0.0949899	−	0.260983i
$484$	−10.0912	−	3.67290i	−0.458691	−	0.166950i
$485$	2.36743	−	32.3325i	0.107499	−	1.46814i
$486$	−6.40455	+	9.14664i	−0.290516	+	0.414900i
$487$		−	9.45982i		−	0.428665i	−0.976761	−	0.214333i	$-0.931242\pi$
$487$		−	9.45982i		−	0.428665i	0.976761	−	0.214333i	$-0.0687576\pi$
$488$	4.76924	+	3.33946i	0.215893	+	0.151170i
$489$	1.16922	+	4.36360i	0.0528741	+	0.197329i
$490$	−2.16365	+	0.220241i	−0.0977438	+	0.00994950i
$491$	5.42586	+	9.39786i	0.244865	+	0.424119i	0.962094	−	0.272719i	$-0.0879229\pi$
$491$	5.42586	+	9.39786i	0.244865	+	0.424119i	−0.717228	+	0.696838i	$0.754590\pi$
$492$	0.457446	+	1.70721i	0.0206232	+	0.0769670i
$493$	6.54774	−	14.0417i	0.294896	−	0.632406i
$494$	2.82462	−	32.2856i	0.127086	−	1.45260i
$495$	−0.782362	+	3.09464i	−0.0351646	+	0.139094i
$496$	2.36599	+	3.37898i	0.106236	+	0.151721i
$497$	12.8757	−	9.01567i	0.577555	−	0.404408i
$498$	1.59664	+	1.33974i	0.0715472	+	0.0600353i
$499$	−4.35986	−	9.34975i	−0.195174	−	0.418552i	0.784228	−	0.620473i	$-0.213059\pi$
$499$	−4.35986	−	9.34975i	−0.195174	−	0.418552i	−0.979402	+	0.201921i	$0.935282\pi$
$500$	9.92279	−	5.15154i	0.443760	−	0.230384i
$501$	10.9317	−	0.956404i	0.488394	−	0.0427290i
$502$	−5.22817	−	7.46660i	−0.233345	−	0.333251i
$503$	−1.03318	+	5.85943i	−0.0460670	+	0.261259i	−0.999139	−	0.0414842i	$-0.986791\pi$
$503$	−1.03318	+	5.85943i	−0.0460670	+	0.261259i	0.953072	+	0.302743i	$0.0979025\pi$
$504$	−6.62420	−	1.77495i	−0.295065	−	0.0790626i
$505$	−0.479054	+	6.54257i	−0.0213176	+	0.291140i
$506$	0.955920	+	2.62637i	0.0424958	+	0.116756i
$507$	−4.58366	+	1.22819i	−0.203568	+	0.0545458i
$508$	−1.13808	+	4.24738i	−0.0504942	+	0.188447i
$509$	−9.36124	−	7.85501i	−0.414930	−	0.348167i	0.411301	−	0.911500i	$-0.365075\pi$
$509$	−9.36124	−	7.85501i	−0.414930	−	0.348167i	−0.826230	+	0.563332i	$0.809519\pi$
$510$	−2.97623	+	5.32800i	−0.131790	+	0.235928i
$511$	35.4769	−	6.25554i	1.56941	−	0.276729i
$512$	−1.00000			−0.0441942
$513$	−17.3618	+	3.06136i	−0.766543	+	0.135162i
$514$	2.88244	+	3.43515i	0.127139	+	0.151518i
$515$	−8.53304	+	4.12728i	−0.376011	+	0.181870i
$516$	3.44526	+	1.60655i	0.151669	+	0.0707246i
$517$	−1.72768	+	1.72768i	−0.0759834	+	0.0759834i
$518$	−0.965182	+	14.9024i	−0.0424077	+	0.654774i
$519$			0.753773i			0.0330870i
$520$	9.87521	+	4.43557i	0.433057	+	0.194513i
$521$	1.81815	−	4.99533i	0.0796547	−	0.218850i	−0.893472	−	0.449118i	$-0.851738\pi$
$521$	1.81815	−	4.99533i	0.0796547	−	0.218850i	0.973127	+	0.230269i	$0.0739605\pi$
$522$	−0.628247	+	7.18089i	−0.0274976	+	0.314299i
$523$	−4.41241	−	25.0240i	−0.192941	−	1.09422i	−0.915321	−	0.402726i	$-0.868063\pi$
$523$	−4.41241	−	25.0240i	−0.192941	−	1.09422i	0.722380	−	0.691497i	$-0.243048\pi$
$524$	12.1590	−	12.1590i	0.531169	−	0.531169i
$525$	1.12439	+	5.46577i	0.0490724	+	0.238546i
$526$	−3.29432	+	0.882711i	−0.143639	+	0.0384880i
$527$	−2.15850	−	24.6717i	−0.0940256	−	1.07472i
$528$	−0.224395	−	0.0601266i	−0.00976556	−	0.00261667i
$529$	−3.45562	+	5.98531i	−0.150244	+	0.260231i
$530$	19.4651	−	7.39885i	0.845510	−	0.321385i
$531$	15.9291	+	1.39362i	0.691265	+	0.0604778i
$532$	−8.21733	−	14.2328i	−0.356267	−	0.617072i
$533$	−18.5372	−	3.26862i	−0.802937	−	0.141580i
$534$	−0.278764	−	0.0491535i	−0.0120633	−	0.00212708i
$535$	22.6324	−	27.7622i	0.978485	−	1.20026i
$536$	2.86988	−	1.33825i	0.123960	−	0.0578035i
$537$	−1.71827	+	4.72092i	−0.0741490	+	0.203723i
$538$	10.5490	−	12.5718i	0.454798	−	0.542007i
$539$	−0.0863105	+	0.489491i	−0.00371766	+	0.0210839i
$540$	0.940281	−	5.81332i	0.0404633	−	0.250166i
$541$	4.80639	−	17.9377i	0.206643	−	0.771201i	−0.782300	−	0.622902i	$-0.785953\pi$
$541$	4.80639	−	17.9377i	0.206643	−	0.771201i	0.988943	−	0.148299i	$-0.0473798\pi$
$542$	7.28118	−	6.10963i	0.312753	−	0.262431i
$543$	4.80688	+	2.24148i	0.206283	+	0.0961913i
$544$	5.19954	+	3.00196i	0.222929	+	0.128708i
$545$	0.750170	+	1.25781i	0.0321338	+	0.0538788i
$546$	−3.47310	+	4.13908i	−0.148635	+	0.177136i
$547$	20.1668	−	34.9300i	0.862271	−	1.49350i	−0.00746002	−	0.999972i	$-0.502375\pi$
$547$	20.1668	−	34.9300i	0.862271	−	1.49350i	0.869731	−	0.493526i	$-0.164292\pi$
$548$	5.21877	−	7.45318i	0.222935	−	0.318384i
$549$	11.4999	+	11.4999i	0.490805	+	0.490805i
$550$	−0.514859	−	2.50278i	−0.0219536	−	0.106719i
$551$	−13.2330	+	11.1038i	−0.563746	+	0.473039i
$552$	−1.05071	−	2.25326i	−0.0447212	−	0.0959049i
$553$	20.7810	−	7.56366i	0.883697	−	0.321639i
$554$	24.3267			1.03354
$555$	−6.17888	+	0.227273i	−0.262279	+	0.00964720i
$556$	5.97939			0.253583
$557$	10.8152	−	3.93642i	0.458256	−	0.166791i	−0.102569	−	0.994726i	$-0.532706\pi$
$557$	10.8152	−	3.93642i	0.458256	−	0.166791i	0.560825	+	0.827934i	$0.310484\pi$
$558$	4.86961	+	10.4429i	0.206147	+	0.442084i
$559$	−31.0135	+	26.0234i	−1.31173	+	1.10067i
$560$	5.39225	−	1.02982i	0.227864	−	0.0435178i
$561$	0.986257	+	0.986257i	0.0416398	+	0.0416398i
$562$	−14.8128	+	21.1549i	−0.624841	+	0.892365i
$563$	−11.2327	+	19.4556i	−0.473401	+	0.819955i	−0.999536	−	0.0304461i	$-0.990307\pi$
$563$	−11.2327	+	19.4556i	−0.473401	+	0.819955i	0.526135	+	0.850401i	$0.323641\pi$
$564$	1.39705	−	1.66494i	0.0588263	−	0.0701065i
$565$	39.7363	+	10.0458i	1.67172	+	0.422631i
$566$	−9.79466	−	5.65495i	−0.411700	−	0.237695i
$567$	−15.9822	−	7.45264i	−0.671191	−	0.312981i
$568$	4.90452	−	4.11538i	0.205789	−	0.172677i
$569$	0.0762480	−	0.284562i	0.00319648	−	0.0119294i	−0.964309	−	0.264779i	$-0.914701\pi$
$569$	0.0762480	−	0.284562i	0.00319648	−	0.0119294i	0.967506	+	0.252849i	$0.0813677\pi$
$570$	5.51807	−	3.98154i	0.231126	−	0.166769i
$571$	−4.90604	+	27.8236i	−0.205312	+	1.16438i	0.691637	+	0.722245i	$0.256890\pi$
$571$	−4.90604	+	27.8236i	−0.205312	+	1.16438i	−0.896949	+	0.442135i	$0.854221\pi$
$572$	1.59033	−	1.89529i	0.0664952	−	0.0792459i
$573$	3.12975	−	8.59891i	0.130747	−	0.359224i
$574$	−8.65100	+	4.03403i	−0.361086	+	0.168377i
$575$	16.9765	−	21.4378i	0.707970	−	0.894018i
$576$	−2.75091	−	0.485060i	−0.114621	−	0.0202108i
$577$	−22.1525	−	3.90608i	−0.922219	−	0.162612i	−0.307672	−	0.951492i	$-0.599550\pi$
$577$	−22.1525	−	3.90608i	−0.922219	−	0.162612i	−0.614547	+	0.788880i	$0.710661\pi$
$578$	−9.52351	−	16.4952i	−0.396126	−	0.686110i
$579$	−9.90124	−	0.866247i	−0.411482	−	0.0360000i
$580$	−2.05020	−	5.39373i	−0.0851300	−	0.223962i
$581$	−5.62821	+	9.74835i	−0.233498	+	0.404430i
$582$	6.36615	+	1.70581i	0.263886	+	0.0707079i
$583$	−0.414787	−	4.74104i	−0.0171787	−	0.196354i
$584$	14.1734	−	3.79775i	0.586499	−	0.157152i
$585$	25.0143	+	16.9919i	1.03422	+	0.702530i
$586$	−20.2994	+	20.2994i	−0.838562	+	0.838562i
$587$	−6.28623	−	35.6510i	−0.259461	−	1.47147i	−0.784358	−	0.620309i	$-0.787007\pi$
$587$	−6.28623	−	35.6510i	−0.259461	−	1.47147i	0.524897	−	0.851166i	$-0.324104\pi$
$588$	0.0385349	−	0.440456i	0.00158915	−	0.0181641i
$589$	−9.44428	+	25.9479i	−0.389145	+	1.06917i
$590$	−11.9647	+	4.54789i	−0.492580	+	0.187234i
$591$			1.64344i			0.0676019i
$592$	0.137397	+	6.08121i	0.00564700	+	0.249936i
$593$	5.02775	−	5.02775i	0.206465	−	0.206465i	−0.596298	−	0.802763i	$-0.703362\pi$
$593$	5.02775	−	5.02775i	0.206465	−	0.206465i	0.802763	+	0.596298i	$0.203362\pi$
$594$	−1.21976	−	0.568785i	−0.0500475	−	0.0233375i
$595$	−31.1287	−	10.8327i	−1.27615	−	0.444099i
$596$	−11.6827	−	13.9229i	−0.478543	−	0.570306i
$597$	0.166502	−	0.0293587i	0.00681446	−	0.00120157i
$598$	26.4780			1.08277
$599$	32.6830	−	5.76290i	1.33539	−	0.235466i	0.540053	−	0.841631i	$-0.318404\pi$
$599$	32.6830	−	5.76290i	1.33539	−	0.235466i	0.795338	+	0.606166i	$0.207293\pi$
$600$	0.650280	+	2.17793i	0.0265476	+	0.0889136i
$601$	−10.7061	−	8.98352i	−0.436713	−	0.366445i	0.397765	−	0.917487i	$-0.369786\pi$
$601$	−10.7061	−	8.98352i	−0.436713	−	0.366445i	−0.834478	+	0.551042i	$0.814230\pi$
$602$	−5.31361	+	19.8307i	−0.216567	+	0.808238i
$603$	8.54393	−	2.28934i	0.347936	−	0.0932291i
$604$	6.83379	+	18.7757i	0.278063	+	0.763972i
$605$	23.9487	+	1.75355i	0.973652	+	0.0712919i
$606$	−1.28821	−	0.345174i	−0.0523298	−	0.0140217i
$607$	−6.09370	+	34.5591i	−0.247336	+	1.40271i	0.567670	+	0.823256i	$0.307845\pi$
$607$	−6.09370	+	34.5591i	−0.247336	+	1.40271i	−0.815005	+	0.579453i	$0.803266\pi$
$608$	−3.83961	−	5.48354i	−0.155717	−	0.222387i
$609$	2.86903	−	0.251007i	0.116259	−	0.0101713i
$610$	−12.2955	−	4.27882i	−0.497831	−	0.173244i
$611$	9.78233	+	20.9783i	0.395751	+	0.848690i
$612$	12.8474	+	10.7802i	0.519324	+	0.435765i
$613$	5.33540	−	3.73588i	0.215495	−	0.150891i	−0.460846	−	0.887480i	$-0.652454\pi$
$613$	5.33540	−	3.73588i	0.215495	−	0.150891i	0.676340	+	0.736589i	$0.263565\pi$
$614$	−1.22577	−	1.75059i	−0.0494682	−	0.0706479i
$615$	−2.02437	−	3.39427i	−0.0816305	−	0.136870i
$616$	0.109349	−	1.24986i	0.00440578	−	0.0503583i
$617$	9.00256	−	19.3061i	0.362430	−	0.777233i	−0.637547	−	0.770411i	$-0.720051\pi$
$617$	9.00256	−	19.3061i	0.362430	−	0.777233i	0.999977	−	0.00682137i	$-0.00217133\pi$
$618$	−0.498748	−	1.86135i	−0.0200626	−	0.0748746i
$619$	−22.4371	−	38.8622i	−0.901824	−	1.56200i	−0.825125	−	0.564950i	$-0.808895\pi$
$619$	−22.4371	−	38.8622i	−0.901824	−	1.56200i	−0.0766985	−	0.997054i	$-0.524438\pi$
$620$	−7.14911	−	5.82813i	−0.287115	−	0.234064i
$621$	−3.72787	−	13.9126i	−0.149594	−	0.558293i
$622$	7.95051	+	5.56701i	0.318787	+	0.223217i
$623$		−	1.52873i		−	0.0612474i
$624$	−1.26234	+	1.80281i	−0.0505341	+	0.0721701i
$625$	−18.2096	+	17.1292i	−0.728385	+	0.685168i
$626$	−17.0404	−	6.20220i	−0.681071	−	0.247890i
$627$	−0.531886	−	1.46134i	−0.0212415	−	0.0583605i
$628$	−4.72449	−	4.72449i	−0.188528	−	0.188528i
$629$	17.5411	−	32.0320i	0.699411	−	1.27720i
$630$	15.3331	−	0.217373i	0.610887	−	0.00866036i
$631$	16.8916	−	36.2242i	0.672444	−	1.44206i	−0.212876	−	0.977079i	$-0.568283\pi$
$631$	16.8916	−	36.2242i	0.672444	−	1.44206i	0.885320	−	0.464982i	$-0.153939\pi$
$632$	8.16378	−	3.80683i	0.324738	−	0.151428i
$633$	−9.83694	−	0.860621i	−0.390983	−	0.0342066i
$634$	7.46259	+	5.22536i	0.296377	+	0.207526i
$635$	−0.139378	−	9.83147i	−0.00553104	−	0.390150i
$636$	0.735130	+	4.16913i	0.0291498	+	0.165317i
$637$	4.07792	+	2.35439i	0.161573	+	0.0932843i
$638$	−1.31373	+	0.114936i	−0.0520110	+	0.00455038i
$639$	15.4881	−	8.94206i	0.612700	−	0.353742i
$640$	2.15146	−	0.609296i	0.0850437	−	0.0240845i
$641$	2.65242	−	0.965402i	0.104764	−	0.0381311i	−0.289106	−	0.957297i	$-0.593358\pi$
$641$	2.65242	−	0.965402i	0.104764	−	0.0381311i	0.393870	+	0.919166i	$0.371136\pi$
$642$	4.68066	+	5.57820i	0.184731	+	0.220154i
$643$	17.6196	−	10.1727i	0.694848	−	0.401171i	−0.110578	−	0.993867i	$-0.535270\pi$
$643$	17.6196	−	10.1727i	0.694848	−	0.401171i	0.805426	+	0.592697i	$0.201937\pi$
$644$	10.9988	−	7.70146i	0.433414	−	0.303480i
$645$	−8.39120	−	1.35724i	−0.330403	−	0.0534414i
$646$	3.50289	+	40.0383i	0.137820	+	1.57528i
$647$	0.194996	+	0.0709726i	0.00766607	+	0.00279022i	0.345850	−	0.938290i	$-0.387590\pi$
$647$	0.194996	+	0.0709726i	0.00766607	+	0.00279022i	−0.338184	+	0.941080i	$0.609813\pi$
$648$	−6.74968	−	2.45668i	−0.265152	−	0.0965076i
$649$	0.254959	+	2.91420i	0.0100080	+	0.114392i
$650$	−23.9487	−	3.52600i	−0.939343	−	0.138301i
$651$	3.77109	−	2.64055i	0.147801	−	0.103491i
$652$	−8.60626	+	4.96883i	−0.337047	+	0.194594i
$653$	−13.3079	−	15.8597i	−0.520778	−	0.620638i	0.439987	−	0.898004i	$-0.354983\pi$
$653$	−13.3079	−	15.8597i	−0.520778	−	0.620638i	−0.960764	+	0.277366i	$0.910539\pi$
$654$	−0.279780	+	0.101832i	−0.0109403	+	0.00398193i
$655$	−18.7511	+	33.5680i	−0.732667	+	1.31161i
$656$	−3.36710	+	1.94400i	−0.131463	+	0.0759004i
$657$	40.8319	−	3.57233i	1.59300	−	0.139370i
$658$	10.1653	+	5.86895i	0.396286	+	0.228796i
$659$	1.77491	+	10.0660i	0.0691408	+	0.392117i	0.999665	+	0.0258863i	$0.00824079\pi$
$659$	1.77491	+	10.0660i	0.0691408	+	0.392117i	−0.930524	+	0.366231i	$0.880648\pi$
$660$	0.519412	−	0.00736354i	0.0202181	−	0.000286625i
$661$	32.3877	+	22.6781i	1.25974	+	0.882077i	0.996577	−	0.0826757i	$-0.0263466\pi$
$661$	32.3877	+	22.6781i	1.25974	+	0.882077i	0.263160	+	0.964752i	$0.415235\pi$
$662$	−24.6010	−	2.15231i	−0.956145	−	0.0836518i
$663$	11.9756	−	5.58429i	0.465092	−	0.216876i
$664$	−1.93769	+	4.15539i	−0.0751970	+	0.161260i
$665$	26.3512	+	25.6145i	1.02186	+	0.993289i
$666$	−2.57178	+	16.7955i	−0.0996546	+	0.650813i
$667$	−9.97955	−	9.97955i	−0.386410	−	0.386410i
$668$	8.25619	+	22.6837i	0.319441	+	0.877658i
$669$	−6.44471	−	2.34568i	−0.249167	−	0.0906893i
$670$	−5.35904	+	4.62779i	−0.207038	+	0.178787i
$671$	−1.70659	+	2.43726i	−0.0658821	+	0.0940894i
$672$			1.11605i			0.0430524i
$673$	−3.82529	−	2.67849i	−0.147454	−	0.103248i	0.497522	−	0.867452i	$-0.334244\pi$
$673$	−3.82529	−	2.67849i	−0.147454	−	0.103248i	−0.644976	+	0.764203i	$0.723132\pi$
$674$	−2.71574	−	10.1353i	−0.104606	−	0.390396i
$675$	1.51906	+	13.0800i	0.0584686	+	0.503450i
$676$	−5.21941	−	9.04029i	−0.200747	−	0.347703i
$677$	1.00718	+	3.75886i	0.0387092	+	0.144465i	0.982576	−	0.185862i	$-0.0595077\pi$
$677$	1.00718	+	3.75886i	0.0387092	+	0.144465i	−0.943867	+	0.330327i	$0.892841\pi$
$678$	−3.52145	+	7.55178i	−0.135241	+	0.290024i
$679$	−3.10225	+	35.4588i	−0.119053	+	1.36079i
$680$	−13.0157	−	3.29052i	−0.499128	−	0.126186i
$681$	−0.579640	−	0.827812i	−0.0222119	−	0.0317218i
$682$	−1.72678	+	1.20911i	−0.0661220	+	0.0462991i
$683$	−12.1413	−	10.1878i	−0.464574	−	0.389824i	0.380236	−	0.924889i	$-0.375843\pi$
$683$	−12.1413	−	10.1878i	−0.464574	−	0.389824i	−0.844811	+	0.535065i	$0.820287\pi$
$684$	−7.90260	−	16.9472i	−0.302163	−	0.647992i
$685$	−6.68676	+	19.2150i	−0.255488	+	0.734166i
$686$	19.4989	−	1.70593i	0.744470	−	0.0651327i
$687$	3.79742	+	5.42328i	0.144881	+	0.206911i
$688$	−1.45211	+	8.23533i	−0.0553612	+	0.313969i
$689$	−43.5500	−	11.6692i	−1.65912	−	0.444560i
$690$	3.63345	+	4.20758i	0.138323	+	0.160180i
$691$	−16.7071	−	45.9025i	−0.635569	−	1.74621i	−0.665216	−	0.746651i	$-0.731660\pi$
$691$	−16.7071	−	45.9025i	−0.635569	−	1.74621i	0.0296469	−	0.999560i	$-0.490562\pi$
$692$	−1.60165	+	0.429160i	−0.0608855	+	0.0163142i
$693$	0.907066	−	3.38522i	0.0344566	−	0.128594i
$694$	5.60634	+	4.70427i	0.212814	+	0.178572i
$695$	−12.8644	+	3.64322i	−0.487974	+	0.138195i
$696$	1.15525	−	0.203703i	0.0437898	−	0.00772132i
$697$	23.3432			0.884187
$698$	0.606602	−	0.106960i	0.0229602	−	0.00404851i
$699$	4.56522	+	5.44061i	0.172672	+	0.205783i
$700$	−10.9737	+	5.50109i	−0.414768	+	0.207921i
$701$	−20.7939	−	9.69635i	−0.785374	−	0.366226i	−0.0117988	−	0.999930i	$-0.503756\pi$
$701$	−20.7939	−	9.69635i	−0.785374	−	0.366226i	−0.773575	+	0.633704i	$0.781534\pi$
$702$	−9.01571	+	9.01571i	−0.340276	+	0.340276i
$703$	−32.8190	+	24.1029i	−1.23779	+	0.909059i
$704$		−	0.511038i		−	0.0192605i
$705$	−1.99125	+	4.43325i	−0.0749947	+	0.166966i
$706$	5.54305	−	15.2294i	0.208615	−	0.573166i
$707$	0.627747	−	7.17518i	0.0236089	−	0.269850i
$708$	−0.451866	−	2.56266i	−0.0169822	−	0.0963106i
$709$	−14.2205	+	14.2205i	−0.534061	+	0.534061i	−0.921778	−	0.387718i	$-0.873264\pi$
$709$	−14.2205	+	14.2205i	−0.534061	+	0.534061i	0.387718	+	0.921778i	$0.373264\pi$
$710$	−8.04437	+	11.8424i	−0.301900	+	0.444436i
$711$	24.3044	−	6.51234i	0.911486	−	0.244232i
$712$	−0.0542704	−	0.620314i	−0.00203387	−	0.0232472i
$713$	−21.7912	−	5.83894i	−0.816088	−	0.218670i
$714$	3.35032	−	5.80293i	0.125383	−	0.217169i
$715$	−2.26674	+	5.04661i	−0.0847713	+	0.188732i
$716$	−11.0095	−	0.963206i	−0.411444	−	0.0359967i
$717$	−5.57329	−	9.65321i	−0.208138	−	0.360506i
$718$	−33.8287	−	5.96492i	−1.26248	−	0.222609i
$719$	16.6323	+	2.93272i	0.620280	+	0.109372i	0.474952	−	0.880012i	$-0.342465\pi$
$719$	16.6323	+	2.93272i	0.620280	+	0.109372i	0.145327	+	0.989384i	$0.453576\pi$
$720$	6.21401	−	0.632534i	0.231583	−	0.0235732i
$721$	9.43208	−	4.39825i	0.351269	−	0.163800i
$722$	8.82816	−	24.2552i	0.328550	−	0.902684i
$723$	2.43591	−	2.90301i	0.0905926	−	0.107964i
$724$	−2.02600	+	11.4900i	−0.0752959	+	0.427024i
$725$	7.69729	+	10.3552i	0.285870	+	0.384582i
$726$	−1.26349	+	4.71540i	−0.0468924	+	0.175005i
$727$	−26.8357	+	22.5179i	−0.995282	+	0.835141i	−0.986324	−	0.164819i	$-0.947296\pi$
$727$	−26.8357	+	22.5179i	−0.995282	+	0.835141i	−0.00895826	+	0.999960i	$0.502852\pi$
$728$	−10.7723	−	5.02320i	−0.399248	−	0.186172i
$729$	−14.2657	−	8.23632i	−0.528360	−	0.305049i
$730$	−28.1795	+	16.8065i	−1.04297	+	0.622035i
$731$	32.2724	−	38.4608i	1.19364	−	1.42252i
$732$	1.32334	−	2.29210i	0.0489121	−	0.0847183i
$733$	1.14133	−	1.62999i	0.0421561	−	0.0602051i	−0.797521	−	0.603292i	$-0.793856\pi$
$733$	1.14133	−	1.62999i	0.0421561	−	0.0602051i	0.839677	+	0.543086i	$0.182744\pi$
$734$	9.72855	+	9.72855i	0.359087	+	0.359087i
$735$	0.185462	+	0.971100i	0.00684086	+	0.0358196i
$736$	4.18959	−	3.51548i	0.154430	−	0.129582i
$737$	0.683895	+	1.46662i	0.0251916	+	0.0540236i
$738$	−10.2056	+	3.71452i	−0.375672	+	0.136733i
$739$	47.1708			1.73521			0.867603	−	0.497257i	$-0.165660\pi$
$739$	47.1708			1.73521			0.867603	+	0.497257i	$0.165660\pi$
$740$	−4.00086	−	12.9997i	−0.147075	−	0.477880i
$741$	−14.7327			−0.541218
$742$	−21.4846	+	7.81974i	−0.788723	+	0.287072i
$743$	−12.0650	−	25.8734i	−0.442620	−	0.949202i	−0.993416	−	0.114562i	$-0.963453\pi$
$743$	−12.0650	−	25.8734i	−0.442620	−	0.949202i	0.550796	−	0.834640i	$-0.314324\pi$
$744$	1.43646	−	1.20533i	0.0526630	−	0.0441895i
$745$	33.6181	+	22.8363i	1.23167	+	0.836659i
$746$	23.8701	+	23.8701i	0.873947	+	0.873947i
$747$	−7.34603	+	10.4912i	−0.268777	+	0.383854i
$748$	−1.53411	+	2.65716i	−0.0560928	+	0.0971555i
$749$	−25.2787	+	30.1260i	−0.923663	+	1.10078i
$750$	−2.72605	−	4.28951i	−0.0995413	−	0.156631i
$751$	27.2458	+	15.7304i	0.994215	+	0.574010i	0.906531	−	0.422138i	$-0.138720\pi$
$751$	27.2458	+	15.7304i	0.994215	+	0.574010i	0.0876833	+	0.996148i	$0.472054\pi$
$752$	4.33313	+	2.02057i	0.158013	+	0.0736827i
$753$	−3.17417	+	2.66344i	−0.115673	+	0.0970612i
$754$	−3.23350	+	12.0676i	−0.117757	+	0.439476i
$755$	−26.1425	−	36.2313i	−0.951425	−	1.31859i
$756$	−1.12275	+	6.36742i	−0.0408339	+	0.231581i
$757$	3.17524	−	3.78410i	0.115406	−	0.137536i	−0.705249	−	0.708960i	$-0.749165\pi$
$757$	3.17524	−	3.78410i	0.115406	−	0.137536i	0.820655	+	0.571425i	$0.193609\pi$
$758$	−4.06747	+	11.1753i	−0.147737	+	0.405905i
$759$	1.15150	−	0.536952i	0.0417967	−	0.0194901i
$760$	11.6019	+	9.45812i	0.420843	+	0.343082i
$761$	10.7435	+	1.89437i	0.389452	+	0.0686708i	0.364946	−	0.931029i	$-0.381088\pi$
$761$	10.7435	+	1.89437i	0.389452	+	0.0686708i	0.0245061	+	0.999700i	$0.492199\pi$
$762$	1.96855	+	0.347108i	0.0713130	+	0.0125744i
$763$	−0.803985	−	1.39254i	−0.0291062	−	0.0504134i
$764$	20.0532	+	1.75443i	0.725500	+	0.0634730i
$765$	−34.2089	−	15.3653i	−1.23682	−	0.555534i
$766$	12.2886	−	21.2846i	0.444007	−	0.769042i
$767$	26.7691	+	7.17276i	0.966576	+	0.258993i
$768$	0.0396199	+	0.452858i	0.00142966	+	0.0163411i
$769$	19.6384	−	5.26209i	0.708178	−	0.189756i	0.113287	−	0.993562i	$-0.463862\pi$
$769$	19.6384	−	5.26209i	0.708178	−	0.189756i	0.594891	+	0.803806i	$0.297195\pi$
$770$	0.526276	+	2.75564i	0.0189657	+	0.0993065i
$771$	1.44143	−	1.44143i	0.0519120	−	0.0519120i
$772$	−3.79663	−	21.5318i	−0.136644	−	0.774945i
$773$	−1.02350	+	11.6986i	−0.0368126	+	0.420770i	0.955320	+	0.295575i	$0.0955112\pi$
$773$	−1.02350	+	11.6986i	−0.0368126	+	0.420770i	−0.992132	+	0.125195i	$0.960044\pi$
$774$	−7.98926	+	21.9503i	−0.287168	+	0.788987i
$775$	18.9320	+	8.18305i	0.680059	+	0.293944i
$776$			14.4983i			0.520457i
$777$	6.78691	−	0.153342i	0.243479	−	0.00550110i
$778$	−3.37555	+	3.37555i	−0.121019	+	0.121019i
$779$	−23.5884	−	10.9994i	−0.845141	−	0.394096i
$780$	1.61743	−	4.64780i	0.0579131	−	0.166418i
$781$	2.10311	+	2.50639i	0.0752553	+	0.0896858i
$782$	−32.3373	+	5.70193i	−1.15638	+	0.203901i
$783$	6.79604			0.242871
$784$	0.957838	−	0.168893i	0.0342085	−	0.00603188i
$785$	13.0431	+	7.28592i	0.465530	+	0.260046i
$786$	−5.98804	−	5.02456i	−0.213586	−	0.179220i
$787$	−1.97405	+	7.36724i	−0.0703672	+	0.262614i	−0.992143	−	0.125110i	$-0.960072\pi$
$787$	−1.97405	+	7.36724i	−0.0703672	+	0.262614i	0.921776	+	0.387723i	$0.126738\pi$
$788$	−3.49204	+	0.935689i	−0.124399	+	0.0333325i
$789$	0.530263	+	1.45689i	0.0188779	+	0.0518665i
$790$	−15.2445	+	13.1644i	−0.542376	+	0.468368i
$791$	−43.4675	−	11.6471i	−1.54553	−	0.414122i
$792$	0.247884	−	1.40582i	0.00880817	−	0.0499536i
$793$	16.1675	+	23.0896i	0.574126	+	0.819937i
$794$	8.12076	−	0.710475i	0.288195	−	0.0252138i
$795$	−4.12183	−	8.52178i	−0.146186	−	0.302236i
$796$	0.157180	+	0.337074i	0.00557111	+	0.0119473i
$797$	−26.0362	−	21.8470i	−0.922249	−	0.773859i	0.0521602	−	0.998639i	$-0.483389\pi$
$797$	−26.0362	−	21.8470i	−0.922249	−	0.773859i	−0.974410	+	0.224780i	$0.927834\pi$
$798$	−6.11988	+	4.28518i	−0.216641	+	0.151694i
$799$	−16.4646	−	23.5139i	−0.582477	−	0.831864i
$800$	−4.25752	+	2.62174i	−0.150526	+	0.0926927i
$801$	0.151596	−	1.73275i	0.00535639	−	0.0612238i
$802$	−12.3531	+	26.4912i	−0.436202	+	0.935437i
$803$	1.94079	+	7.24314i	0.0684891	+	0.255605i
$804$	−0.719741	−	1.24663i	−0.0253833	−	0.0439652i
$805$	−18.9710	+	23.2709i	−0.668640	+	0.820191i
$806$	5.16874	+	19.2900i	0.182061	+	0.679462i
$807$	−6.11116	−	4.27908i	−0.215123	−	0.150631i
$808$		−	2.93376i		−	0.103209i
$809$	−29.4298	+	42.0301i	−1.03470	+	1.47770i	−0.163636	+	0.986521i	$0.552322\pi$
$809$	−29.4298	+	42.0301i	−1.03470	+	1.47770i	−0.871059	+	0.491178i	$0.836566\pi$
$810$	16.0185	+	1.17289i	0.562832	+	0.0412112i
$811$	−35.4702	−	12.9101i	−1.24553	−	0.453335i	−0.366639	−	0.930363i	$-0.619492\pi$
$811$	−35.4702	−	12.9101i	−1.24553	−	0.453335i	−0.878888	+	0.477029i	$0.841714\pi$
$812$	2.16683	+	5.95332i	0.0760408	+	0.208920i
$813$	−3.05527	−	3.05527i	−0.107153	−	0.107153i
$814$	−3.10773	+	0.0702152i	−0.108926	+	0.00246104i
$815$	15.4885	−	15.9340i	0.542538	−	0.558142i
$816$	1.15345	−	2.47359i	0.0403790	−	0.0865930i
$817$	−50.7343	+	23.6578i	−1.77497	+	0.827681i
$818$	3.99521	+	0.349535i	0.139689	+	0.0122212i
$819$	−27.1971	−	19.0436i	−0.950343	−	0.665437i
$820$	6.05970	−	6.23399i	0.211614	−	0.217700i
$821$	−3.38111	−	19.1752i	−0.118001	−	0.669219i	−0.985220	−	0.171292i	$-0.945206\pi$
$821$	−3.38111	−	19.1752i	−0.118001	−	0.669219i	0.867219	−	0.497927i	$-0.165905\pi$
$822$	−3.58200	−	2.06807i	−0.124936	−	0.0721321i
$823$	−13.0878	+	1.14503i	−0.456211	+	0.0399133i	−0.312945	−	0.949771i	$-0.601316\pi$
$823$	−13.0878	+	1.14503i	−0.456211	+	0.0399133i	−0.143265	+	0.989684i	$0.545760\pi$
$824$	3.67112	−	2.11952i	0.127889	−	0.0738370i
$825$	−1.11300	+	0.332318i	−0.0387498	+	0.0115698i
$826$	13.2060	−	4.80660i	0.459497	−	0.167243i
$827$	1.28932	+	1.53655i	0.0448339	+	0.0534310i	0.787995	−	0.615681i	$-0.211119\pi$
$827$	1.28932	+	1.53655i	0.0448339	+	0.0534310i	−0.743161	+	0.669112i	$0.766675\pi$
$828$	13.2304	−	7.63858i	0.459788	−	0.265459i
$829$	−42.4273	+	29.7079i	−1.47356	+	1.03180i	−0.486105	+	0.873900i	$0.661583\pi$
$829$	−42.4273	+	29.7079i	−1.47356	+	1.03180i	−0.987455	+	0.157898i	$0.949528\pi$
$830$	1.63699	−	10.1208i	0.0568208	−	0.351297i
$831$	−0.963822	−	11.0165i	−0.0334346	−	0.382159i
$832$	−4.54940	−	1.65584i	−0.157722	−	0.0574061i
$833$	−5.48733	−	1.99722i	−0.190125	−	0.0691997i
$834$	−0.236903	−	2.70781i	−0.00820328	−	0.0937639i
$835$	−31.5839	−	43.7725i	−1.09301	−	1.51481i
$836$	2.80229	−	1.96219i	0.0969194	−	0.0678637i
$837$	9.40803	−	5.43173i	0.325189	−	0.187748i
$838$	−17.5741	−	20.9440i	−0.607088	−	0.723499i
$839$	5.39990	−	1.96540i	0.186425	−	0.0678533i	−0.247121	−	0.968985i	$-0.579484\pi$
$839$	5.39990	−	1.96540i	0.186425	−	0.0678533i	0.433546	+	0.901131i	$0.357262\pi$
$840$	−0.680002	−	2.40112i	−0.0234623	−	0.0828466i
$841$	−19.3478	+	11.1704i	−0.667164	+	0.385187i
$842$	−21.6315	+	1.89251i	−0.745472	+	0.0652204i
$843$	10.1670	+	5.86994i	0.350171	+	0.202172i
$844$	−3.77197	−	21.3919i	−0.129837	−	0.736341i
$845$	16.7375	+	16.2696i	0.575789	+	0.559691i
$846$	10.9400	+	7.66025i	0.376124	+	0.263365i
$847$	−26.2643	−	2.29783i	−0.902453	−	0.0789544i
$848$	−8.44018	+	3.93572i	−0.289837	+	0.135153i
$849$	−2.17282	+	4.65963i	−0.0745711	+	0.159918i
$850$	30.0075	−	0.850986i	1.02925	−	0.0291886i
$851$	−21.9540	−	24.9947i	−0.752574	−	0.856809i
$852$	−2.05800	−	2.05800i	−0.0705058	−	0.0705058i
$853$	−9.96422	−	27.3765i	−0.341168	−	0.937353i	−0.985056	−	0.172233i	$-0.944902\pi$
$853$	−9.96422	−	27.3765i	−0.341168	−	0.937353i	0.643888	−	0.765120i	$-0.277320\pi$
$854$	13.4318	+	4.88878i	0.459627	+	0.167291i
$855$	27.3279	+	31.6461i	0.934595	+	1.08227i
$856$	−9.18785	+	13.1216i	−0.314034	+	0.448487i
$857$			18.2107i			0.622066i	0.950399	+	0.311033i	$0.100675\pi$
$857$			18.2107i			0.622066i	−0.950399	+	0.311033i	$0.899325\pi$
$858$	−0.921304	−	0.645104i	−0.0314528	−	0.0220235i
$859$	15.1098	+	56.3906i	0.515541	+	1.92402i	0.344639	+	0.938735i	$0.388001\pi$
$859$	15.1098	+	56.3906i	0.515541	+	1.92402i	0.170902	+	0.985288i	$0.445332\pi$
$860$	−1.89360	−	18.6027i	−0.0645712	−	0.634347i
$861$	2.16959	+	3.75784i	0.0739395	+	0.128067i
$862$	−7.92665	−	29.5827i	−0.269983	−	1.00759i
$863$	−12.2290	+	26.2253i	−0.416282	+	0.892719i	0.580629	+	0.814169i	$0.302807\pi$
$863$	−12.2290	+	26.2253i	−0.416282	+	0.892719i	−0.996910	+	0.0785501i	$0.974971\pi$
$864$	−0.229532	+	2.62356i	−0.00780884	+	0.0892554i
$865$	3.18439	−	1.89920i	0.108272	−	0.0645746i
$866$	−1.49133	−	2.12983i	−0.0506773	−	0.0723747i
$867$	−7.09266	+	4.96633i	−0.240879	+	0.168666i
$868$	7.75781	+	6.50958i	0.263317	+	0.220949i
$869$	1.94544	+	4.17200i	0.0659944	+	0.141525i
$870$	−2.36136	+	1.14215i	−0.0800577	+	0.0387225i
$871$	15.2722	−	1.33614i	0.517478	−	0.0452734i
$872$	−0.375668	−	0.536510i	−0.0127217	−	0.0181685i
$873$	−7.03253	+	39.8835i	−0.238015	+	1.34985i
$874$	35.3637	+	9.47567i	1.19619	+	0.320519i
$875$	20.2577	−	18.5216i	0.684835	−	0.626144i
$876$	−2.28139	−	6.26806i	−0.0770810	−	0.211778i
$877$	24.2802	−	6.50585i	0.819883	−	0.219687i	0.175588	−	0.984464i	$-0.443817\pi$
$877$	24.2802	−	6.50585i	0.819883	−	0.219687i	0.644295	+	0.764777i	$0.277151\pi$
$878$	4.07939	−	15.2245i	0.137673	−	0.513801i
$879$	9.99701	+	8.38849i	0.337191	+	0.282937i
$880$	0.311373	+	1.09947i	0.0104964	+	0.0370633i
$881$	−1.02037	+	0.179919i	−0.0343772	+	0.00606163i	−0.190810	−	0.981627i	$-0.561112\pi$
$881$	−1.02037	+	0.179919i	−0.0343772	+	0.00606163i	0.156433	+	0.987689i	$0.450000\pi$
$882$	2.71685			0.0914811
$883$	40.8973	−	7.21130i	1.37631	−	0.242680i	0.563934	−	0.825820i	$-0.309287\pi$
$883$	40.8973	−	7.21130i	1.37631	−	0.242680i	0.812371	+	0.583140i	$0.198176\pi$
$884$	18.6840	+	22.2667i	0.628411	+	0.748911i
$885$	2.53359	+	5.23813i	0.0851656	+	0.176078i
$886$	23.2834	+	10.8572i	0.782221	+	0.364756i
$887$	−11.3921	+	11.3921i	−0.382509	+	0.382509i	−0.872005	−	0.489496i	$-0.837181\pi$
$887$	−11.3921	+	11.3921i	−0.382509	+	0.382509i	0.489496	+	0.872005i	$0.337181\pi$
$888$	2.74848	−	0.303158i	0.0922329	−	0.0101733i
$889$			10.7955i			0.362069i
$890$	0.494715	+	1.30151i	0.0165829	+	0.0436267i
$891$	1.25546	−	3.44934i	0.0420594	−	0.115557i
$892$	1.31491	−	15.0295i	0.0440265	−	0.503225i
$893$	5.55767	+	31.5191i	0.185980	+	1.05475i
$894$	−5.84224	+	5.84224i	−0.195394	+	0.195394i
$895$	24.2733	−	4.63574i	0.811367	−	0.154956i
$896$	−2.37142	+	0.635420i	−0.0792235	+	0.0212279i
$897$	−1.04906	−	11.9908i	−0.0350270	−	0.400360i
$898$	−9.31885	−	2.49698i	−0.310974	−	0.0833253i
$899$	5.32230	−	9.21850i	0.177509	−	0.307454i
$900$	−12.9838	+	5.14704i	−0.432792	+	0.171568i
$901$	55.7000	+	4.87312i	1.85564	+	0.162347i
$902$	−0.993456	−	1.72072i	−0.0330785	−	0.0572936i
$903$	9.19100	+	1.62062i	0.305857	+	0.0539309i
$904$	−18.0513	−	3.18292i	−0.600376	−	0.105862i
$905$	−2.64197	−	25.9547i	−0.0878222	−	0.862765i
$906$	8.23196	−	3.83863i	0.273489	−	0.127530i
$907$	−0.0385821	+	0.106004i	−0.00128110	+	0.00351979i	−0.940332	−	0.340260i	$-0.889485\pi$
$907$	−0.0385821	+	0.106004i	−0.00128110	+	0.00351979i	0.939050	+	0.343779i	$0.111707\pi$
$908$	1.42895	−	1.70296i	0.0474214	−	0.0565146i
$909$	1.42305	−	8.07051i	0.0471995	−	0.267682i
$910$	26.2367	+	4.24368i	0.869739	+	0.140677i
$911$	−8.84649	+	33.0155i	−0.293097	+	1.09385i	0.649620	+	0.760259i	$0.274928\pi$
$911$	−8.84649	+	33.0155i	−0.293097	+	1.09385i	−0.942717	+	0.333594i	$0.891739\pi$
$912$	−2.33114	+	1.95606i	−0.0771916	+	0.0647715i
$913$	−2.12356	−	0.990233i	−0.0702796	−	0.0327719i
$914$	14.8386	+	8.56708i	0.490818	+	0.283374i
$915$	−1.45055	+	5.73765i	−0.0479536	+	0.189681i
$916$	−9.36154	+	11.1566i	−0.309314	+	0.368626i
$917$	21.1080	−	36.5602i	0.697048	−	1.20732i
$918$	9.06929	−	12.9523i	0.299331	−	0.427489i
$919$	18.5609	+	18.5609i	0.612266	+	0.612266i	0.943536	−	0.331270i	$-0.107477\pi$
$919$	18.5609	+	18.5609i	0.612266	+	0.612266i	−0.331270	+	0.943536i	$0.607477\pi$
$920$	−6.87174	+	10.1161i	−0.226555	+	0.333518i
$921$	−0.744201	+	0.624459i	−0.0245223	+	0.0205766i
$922$	−1.74867	−	3.75005i	−0.0575895	−	0.123501i
$923$	29.1270	−	10.6014i	0.958727	−	0.348948i
$924$	−0.570341			−0.0187629
$925$	16.5284	+	25.5306i	0.543449	+	0.839442i
$926$	33.1814			1.09041
$927$	11.1270	−	4.04990i	0.365459	−	0.133016i
$928$	1.09058	+	2.33875i	0.0358000	+	0.0767733i
$929$	16.7115	−	14.0226i	0.548287	−	0.460067i	−0.326074	−	0.945344i	$-0.605726\pi$
$929$	16.7115	−	14.0226i	0.548287	−	0.460067i	0.874360	+	0.485277i	$0.161281\pi$
$930$	−2.35607	+	3.46844i	−0.0772585	+	0.113735i
$931$	4.60386	+	4.60386i	0.150885	+	0.150885i
$932$	−8.96123	+	12.7980i	−0.293535	+	0.419211i
$933$	2.20606	−	3.82101i	0.0722233	−	0.125094i
$934$	13.0241	−	15.5215i	0.426162	−	0.507881i
$935$	1.68158	−	6.65150i	0.0549935	−	0.217527i
$936$	−11.7118	−	6.76182i	−0.382812	−	0.221017i
$937$	0.639374	+	0.298145i	0.0208874	+	0.00973997i	0.433034	−	0.901378i	$-0.357443\pi$
$937$	0.639374	+	0.298145i	0.0208874	+	0.00973997i	−0.412146	+	0.911118i	$0.635221\pi$
$938$	5.95535	−	4.99713i	0.194449	−	0.163162i
$939$	−2.13357	+	7.96261i	−0.0696266	+	0.259850i
$940$	−10.5537	−	1.70701i	−0.344223	−	0.0556766i
$941$	5.04300	−	28.6003i	0.164397	−	0.932342i	−0.785287	−	0.619132i	$-0.787484\pi$
$941$	5.04300	−	28.6003i	0.164397	−	0.932342i	0.949684	−	0.313210i	$-0.101404\pi$
$942$	−1.95234	+	2.32671i	−0.0636106	+	0.0758082i
$943$	7.27268	−	19.9815i	0.236831	−	0.650688i
$944$	5.18797	−	2.41919i	0.168854	−	0.0787380i
$945$	−1.46410	−	14.3833i	−0.0476271	−	0.467889i
$946$	−4.20856	−	0.742083i	−0.136832	−	0.0241272i
$947$	−3.04436	−	0.536803i	−0.0989285	−	0.0174438i	0.123965	−	0.992287i	$-0.460439\pi$
$947$	−3.04436	−	0.536803i	−0.0989285	−	0.0174438i	−0.222893	+	0.974843i	$0.571550\pi$
$948$	−2.04740	−	3.54620i	−0.0664965	−	0.115175i
$949$	70.7689	+	6.19147i	2.29725	+	0.200984i
$950$	−30.7237	−	13.2798i	−0.996807	−	0.430853i
$951$	2.07068	−	3.58652i	0.0671463	−	0.116301i
$952$	14.2378	+	3.81501i	0.461450	+	0.123645i
$953$	−4.08863	−	46.7332i	−0.132444	−	1.51384i	−0.713893	−	0.700255i	$-0.753070\pi$
$953$	−4.08863	−	46.7332i	−0.132444	−	1.51384i	0.581449	−	0.813583i	$-0.302486\pi$
$954$	−25.1273	+	6.73283i	−0.813526	+	0.217984i
$955$	−44.2126	+	8.44376i	−1.43069	+	0.273234i
$956$	17.3384	−	17.3384i	0.560764	−	0.560764i
$957$	0.104100	+	0.590378i	0.00336506	+	0.0190842i
$958$	0.0218505	−	0.249753i	0.000705959	−	0.00806915i
$959$	7.64000	−	20.9907i	0.246708	−	0.677826i
$960$	−0.361165	−	0.950163i	−0.0116565	−	0.0306664i
$961$			13.9846i			0.451117i
$962$	−9.44447	+	27.8933i	−0.304502	+	0.899317i
$963$	−31.6397	+	31.6397i	−1.01958	+	1.01958i
$964$	7.55531	+	3.52310i	0.243340	+	0.113471i
$965$	21.2875	+	44.0113i	0.685268	+	1.41678i
$966$	−3.92344	−	4.67577i	−0.126235	−	0.150440i
$967$	−52.9233	+	9.33181i	−1.70190	+	0.300091i	−0.938357	−	0.345667i	$-0.887653\pi$
$967$	−52.9233	+	9.33181i	−1.70190	+	0.300091i	−0.763542	+	0.645758i	$0.776542\pi$
$968$	−10.7388			−0.345159
$969$	17.9928	−	3.17262i	0.578014	−	0.101919i
$970$	−8.83373	−	31.1924i	−0.283634	−	1.00153i
$971$	31.3902	+	26.3395i	1.00736	+	0.845275i	0.987987	−	0.154538i	$-0.0493888\pi$
$971$	31.3902	+	26.3395i	1.00736	+	0.845275i	0.0193721	+	0.999812i	$0.493833\pi$
$972$	−2.88997	+	10.7855i	−0.0926959	+	0.345946i
$973$	14.1796	−	3.79942i	0.454578	−	0.121804i
$974$	−3.23545	−	8.88932i	−0.103670	−	0.284832i
$975$	−0.647932	+	10.9850i	−0.0207504	+	0.351802i
$976$	5.62378	+	1.50689i	0.180013	+	0.0482343i
$977$	6.63803	−	37.6461i	0.212369	−	1.20441i	−0.673044	−	0.739602i	$-0.735014\pi$
$977$	6.63803	−	37.6461i	0.212369	−	1.20441i	0.885414	−	0.464804i	$-0.153875\pi$
$978$	2.59115	+	3.70055i	0.0828559	+	0.118330i
$979$	0.317004	−	0.0277342i	0.0101315	−	0.000886390i
$980$	−1.95784	+	0.946971i	−0.0625409	+	0.0302499i
$981$	−0.773191	−	1.65811i	−0.0246861	−	0.0529395i
$982$	8.31289	+	6.97535i	0.265275	+	0.222592i
$983$	7.70746	−	5.39682i	0.245830	−	0.172132i	−0.444168	−	0.895944i	$-0.646501\pi$
$983$	7.70746	−	5.39682i	0.245830	−	0.172132i	0.689997	+	0.723812i	$0.257612\pi$
$984$	1.01376	+	1.44780i	0.0323174	+	0.0461541i
$985$	6.94285	−	4.14078i	0.221218	−	0.131936i
$986$	1.35033	−	15.4343i	0.0430032	−	0.491529i
$987$	2.25505	−	4.83597i	0.0717791	−	0.153931i
$988$	−8.38804	−	31.3046i	−0.266859	−	0.995932i
$989$	−22.8674	−	39.6075i	−0.727141	−	1.25944i
$990$	0.323249	+	3.17559i	0.0102735	+	0.100927i
$991$	−5.48055	−	20.4537i	−0.174095	−	0.649733i	−0.996704	−	0.0811247i	$-0.974149\pi$
$991$	−5.48055	−	20.4537i	−0.174095	−	0.649733i	0.822609	−	0.568608i	$-0.192518\pi$
$992$	3.37898	+	2.36599i	0.107283	+	0.0751201i
$993$			11.2260i			0.356247i
$994$	9.01567	−	12.8757i	0.285960	−	0.408393i
$995$	−0.543544	−	0.629431i	−0.0172315	−	0.0199543i
$996$	1.95857	+	0.712862i	0.0620597	+	0.0225879i
$997$	10.3225	+	28.3607i	0.326915	+	0.898193i	0.988888	+	0.148664i	$0.0474974\pi$
$997$	10.3225	+	28.3607i	0.326915	+	0.898193i	−0.661972	+	0.749528i	$0.730280\pi$
$998$	−7.29473	−	7.29473i	−0.230911	−	0.230911i
$999$	15.9860	+	1.03536i	0.505774	+	0.0327574i

Twists

By twisting character
Char	Parity	Ord	Type	Twist	Min	Dim
1.1	even	1	trivial	370.2.ba.b.227.5	yes	120
5.3	odd	4		370.2.bd.b.153.6	yes	120
37.15	odd	36		370.2.bd.b.237.6	yes	120
185.163	even	36	inner	370.2.ba.b.163.5	✓	120

By twisted newform
Twist	Min	Dim	Char	Parity	Ord	Type
370.2.ba.b.163.5	✓	120	185.163	even	36	inner
370.2.ba.b.227.5	yes	120	1.1	even	1	trivial
370.2.bd.b.153.6	yes	120	5.3	odd	4
370.2.bd.b.237.6	yes	120	37.15	odd	36

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:	\( N \)	\(=\)	\( 370 = 2 \cdot 5 \cdot 37 \)
Weight:	\( k \)	\(=\)	\( 2 \)
Character orbit:	\([\chi]\)	\(=\)	370.ba (of order \(36\), degree \(12\), minimal)

\(f(q)\)	\(=\)	\(q+(0.939693 - 0.342020i) q^{2} +(-0.192117 - 0.411996i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.25646 + 1.84968i) q^{5} +(-0.321442 - 0.321442i) q^{6} +(1.40817 - 2.01108i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.79553 - 2.13983i) q^{9} +O(q^{10})\)	\(q+(0.939693 - 0.342020i) q^{2} +(-0.192117 - 0.411996i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.25646 + 1.84968i) q^{5} +(-0.321442 - 0.321442i) q^{6} +(1.40817 - 2.01108i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.79553 - 2.13983i) q^{9} +(-0.548062 + 2.16786i) q^{10} +(0.442572 + 0.255519i) q^{11} +(-0.411996 - 0.192117i) q^{12} +(3.70870 - 3.11197i) q^{13} +(0.635420 - 2.37142i) q^{14} +(1.00345 + 0.162304i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-3.85924 + 4.59927i) q^{17} +(0.955382 - 2.62489i) q^{18} +(6.06697 - 2.82908i) q^{19} +(0.226443 + 2.22457i) q^{20} +(-1.09909 - 0.193799i) q^{21} +(0.503274 + 0.0887408i) q^{22} +(2.73456 + 4.73639i) q^{23} +(-0.452858 - 0.0396199i) q^{24} +(-1.84260 - 4.64810i) q^{25} +(2.42068 - 4.19275i) q^{26} +(-2.54385 - 0.681622i) q^{27} +(-0.213974 - 2.44573i) q^{28} +(-2.49260 + 0.667890i) q^{29} +(0.998443 - 0.190684i) q^{30} +(-2.91679 + 2.91679i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(0.0202473 - 0.231427i) q^{33} +(-2.05346 + 5.64184i) q^{34} +(1.95053 + 5.13151i) q^{35} -2.79335i q^{36} +(-5.96496 + 1.19130i) q^{37} +(4.73349 - 4.73349i) q^{38} +(-1.99462 - 0.930109i) q^{39} +(0.973635 + 2.01297i) q^{40} +(-2.49916 - 2.97838i) q^{41} +(-1.09909 + 0.193799i) q^{42} -8.36237 q^{43} +(0.503274 - 0.0887408i) q^{44} +(1.70198 + 6.00977i) q^{45} +(4.18959 + 3.51548i) q^{46} +(-1.23744 + 4.61817i) q^{47} +(-0.439098 + 0.117656i) q^{48} +(0.332654 + 0.913958i) q^{49} +(-3.32122 - 3.73758i) q^{50} +(2.63631 + 0.706396i) q^{51} +(0.840694 - 4.76781i) q^{52} +(-5.34155 - 7.62853i) q^{53} +(-2.62356 + 0.229532i) q^{54} +(-1.02870 + 0.497564i) q^{55} +(-1.03756 - 2.22505i) q^{56} +(-2.33114 - 1.95606i) q^{57} +(-2.11385 + 1.48013i) q^{58} +(3.28332 + 4.68907i) q^{59} +(0.873012 - 0.520672i) q^{60} +(-0.507435 + 5.80001i) q^{61} +(-1.74329 + 3.73849i) q^{62} +(-1.77495 - 6.62420i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(1.09629 + 10.7700i) q^{65} +(-0.0601266 - 0.224395i) q^{66} +(2.59390 + 1.81627i) q^{67} +6.00392i q^{68} +(1.42602 - 2.03657i) q^{69} +(3.58798 + 4.15492i) q^{70} +(6.01628 + 2.18975i) q^{71} +(-0.955382 - 2.62489i) q^{72} +(10.3756 + 10.3756i) q^{73} +(-5.19778 + 3.15959i) q^{74} +(-1.56100 + 1.65212i) q^{75} +(2.82908 - 6.06697i) q^{76} +(1.13709 - 0.530232i) q^{77} +(-2.19245 - 0.191814i) q^{78} +(7.37871 + 5.16663i) q^{79} +(1.60339 + 1.55857i) q^{80} +(-1.24729 - 7.07373i) q^{81} +(-3.36710 - 1.94400i) q^{82} +(-4.56752 + 0.399606i) q^{83} +(-0.966524 + 0.558023i) q^{84} +(-3.65816 - 12.9172i) q^{85} +(-7.85806 + 2.86010i) q^{86} +(0.754039 + 0.898628i) q^{87} +(0.442572 - 0.255519i) q^{88} +(0.510072 - 0.357156i) q^{89} +(3.65480 + 5.06522i) q^{90} +(-1.03593 - 11.8407i) q^{91} +(5.13929 + 1.87055i) q^{92} +(1.76207 + 0.641342i) q^{93} +(0.416699 + 4.76289i) q^{94} +(-2.39005 + 14.7766i) q^{95} +(-0.372376 + 0.260741i) q^{96} +(-12.5559 + 7.24913i) q^{97} +(0.625184 + 0.745066i) q^{98} +(1.34142 - 0.488236i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\)	\(=\)	\( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8}+O(q^{10}) \) 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8	\( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8} + 12 q^{10} - 36 q^{11} - 6 q^{12} - 6 q^{13} + 12 q^{14} - 24 q^{15} - 12 q^{19} + 12 q^{20} + 42 q^{21} + 6 q^{22} + 6 q^{24} + 6 q^{25} + 6 q^{26} + 6 q^{27} - 36 q^{30} - 18 q^{33} - 30 q^{35} + 12 q^{37} - 48 q^{38} - 12 q^{40} - 30 q^{41} + 42 q^{42} + 6 q^{44} - 30 q^{45} - 6 q^{46} + 12 q^{47} - 60 q^{49} - 48 q^{50} + 12 q^{51} - 6 q^{52} + 12 q^{53} + 18 q^{54} + 36 q^{57} + 6 q^{58} - 24 q^{59} + 54 q^{60} - 72 q^{61} + 6 q^{62} + 96 q^{63} - 60 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 90 q^{73} + 24 q^{74} - 60 q^{75} + 18 q^{76} + 6 q^{77} + 24 q^{78} - 18 q^{79} + 6 q^{80} - 108 q^{81} - 36 q^{82} + 48 q^{83} + 36 q^{85} + 24 q^{86} + 108 q^{87} - 36 q^{88} + 54 q^{89} - 6 q^{90} + 42 q^{91} - 12 q^{92} - 12 q^{93} - 18 q^{94} - 198 q^{95} - 12 q^{96} - 72 q^{97} + 48 q^{98} + 42 q^{99}+O(q^{100}) \) 120 * q - 6 * q^3 - 6 * q^5 + 60 * q^8 + 12 * q^10 - 36 * q^11 - 6 * q^12 - 6 * q^13 + 12 * q^14 - 24 * q^15 - 12 * q^19 + 12 * q^20 + 42 * q^21 + 6 * q^22 + 6 * q^24 + 6 * q^25 + 6 * q^26 + 6 * q^27 - 36 * q^30 - 18 * q^33 - 30 * q^35 + 12 * q^37 - 48 * q^38 - 12 * q^40 - 30 * q^41 + 42 * q^42 + 6 * q^44 - 30 * q^45 - 6 * q^46 + 12 * q^47 - 60 * q^49 - 48 * q^50 + 12 * q^51 - 6 * q^52 + 12 * q^53 + 18 * q^54 + 36 * q^57 + 6 * q^58 - 24 * q^59 + 54 * q^60 - 72 * q^61 + 6 * q^62 + 96 * q^63 - 60 * q^64 - 18 * q^65 - 42 * q^67 - 96 * q^69 - 12 * q^70 - 90 * q^73 + 24 * q^74 - 60 * q^75 + 18 * q^76 + 6 * q^77 + 24 * q^78 - 18 * q^79 + 6 * q^80 - 108 * q^81 - 36 * q^82 + 48 * q^83 + 36 * q^85 + 24 * q^86 + 108 * q^87 - 36 * q^88 + 54 * q^89 - 6 * q^90 + 42 * q^91 - 12 * q^92 - 12 * q^93 - 18 * q^94 - 198 * q^95 - 12 * q^96 - 72 * q^97 + 48 * q^98 + 42 * q^99

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